B:=[]; G:=[]; # Design 1: autom. group order 2, simple, residual B[1]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,3,9,10,12,13],[1,2,4,5,11,12,14],[1,3,6,10,11,13,14],[1,4,5,6,8,10,13],[1,4,6,8,11,12,14],[1,4,7,8,9,11,13],[1,5,7,9,10,12,14],[1,5,7,9,11,13,14],[1,6,7,8,9,10,12],[2,3,7,8,9,11,14],[2,4,6,7,9,12,13],[2,4,6,9,10,11,14],[2,4,7,8,10,13,14],[2,5,6,7,11,12,13],[2,5,6,8,9,10,14],[2,5,8,10,11,12,13],[3,4,5,7,10,12,14],[3,4,5,9,10,11,13],[3,4,6,9,12,13,14],[3,4,7,8,10,11,12],[3,5,6,7,8,13,14],[3,5,6,8,9,11,12]]; G[1]:=Group([(1,12)(3,13)(4,11)(9,10)]); # Design 2: autom. group order 2, simple, residual B[2]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,5,11,12,14],[1,3,6,8,11,13,14],[1,4,5,6,9,10,13],[1,4,6,9,11,12,14],[1,4,7,9,10,11,13],[1,5,7,8,10,12,14],[1,5,7,8,11,13,14],[1,6,7,8,9,10,12],[2,3,7,9,10,11,14],[2,4,6,7,8,12,13],[2,4,6,8,10,11,14],[2,4,7,8,9,13,14],[2,5,6,7,11,12,13],[2,5,6,8,9,10,14],[2,5,9,10,11,12,13],[3,4,5,7,10,12,14],[3,4,5,8,10,11,13],[3,4,6,10,12,13,14],[3,4,7,8,9,11,12],[3,5,6,7,9,13,14],[3,5,6,8,9,11,12]]; G[2]:=Group([(1,12)(3,13)(4,11)(8,10)]); # Design 3: autom. group order 2, simple B[3]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,3,9,10,11,12],[1,2,4,5,10,13,14],[1,3,6,8,11,13,14],[1,4,5,6,9,11,13],[1,4,6,7,10,12,14],[1,4,8,9,10,12,14],[1,5,7,8,10,12,13],[1,5,7,9,11,12,13],[1,6,7,8,9,11,14],[2,3,7,9,12,13,14],[2,4,6,8,11,12,13],[2,4,6,9,12,13,14],[2,4,7,8,10,11,13],[2,5,6,7,8,9,12],[2,5,6,7,10,11,14],[2,5,8,9,10,11,14],[3,4,5,7,11,12,14],[3,4,5,8,11,12,14],[3,4,6,7,8,9,10],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[3,5,6,9,10,13,14]]; G[3]:=Group([(1,10)(3,11)(4,14)(6,9)(7,8)]); # Design 4: autom. group order 2, simple B[4]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,9,10,13],[1,2,3,11,12,13,14],[1,2,4,5,7,11,14],[1,3,6,7,8,13,14],[1,4,5,6,10,12,13],[1,4,6,9,10,13,14],[1,4,8,9,10,11,14],[1,5,7,8,10,12,14],[1,5,7,9,11,12,13],[1,6,7,8,9,11,12],[2,3,7,9,10,12,14],[2,4,6,7,8,10,12],[2,4,7,8,9,12,13],[2,4,7,10,11,13,14],[2,5,6,8,9,11,14],[2,5,6,8,10,11,13],[2,5,6,9,12,13,14],[3,4,5,8,12,13,14],[3,4,5,9,10,11,12],[3,4,6,7,9,11,13],[3,4,6,8,11,12,14],[3,5,6,7,9,10,14],[3,5,7,8,10,11,13]]; G[4]:=Group([(1,4)(3,7)(8,11)(9,14)]); # Design 5: autom. group order 2, simple B[5]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,9,10,13],[1,2,3,11,12,13,14],[1,2,4,5,7,11,14],[1,3,6,7,8,13,14],[1,4,5,6,10,12,13],[1,4,6,9,10,13,14],[1,4,8,9,10,11,14],[1,5,7,8,12,13,14],[1,5,7,9,10,11,12],[1,6,7,8,9,11,12],[2,3,7,9,10,12,14],[2,4,6,7,8,10,12],[2,4,7,8,9,12,13],[2,4,7,10,11,13,14],[2,5,6,8,9,11,14],[2,5,6,8,10,11,13],[2,5,6,9,12,13,14],[3,4,5,8,10,12,14],[3,4,5,9,11,12,13],[3,4,6,7,9,11,13],[3,4,6,8,11,12,14],[3,5,6,7,9,10,14],[3,5,7,8,10,11,13]]; G[5]:=Group([(1,4)(3,7)(8,11)(9,14)]); # Design 6: autom. group order 2, simple B[6]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,9,10,13],[1,2,3,11,12,13,14],[1,2,4,5,7,11,14],[1,3,6,7,8,13,14],[1,4,5,6,10,12,13],[1,4,6,9,12,13,14],[1,4,8,9,11,12,14],[1,5,7,8,10,12,14],[1,5,7,9,10,11,13],[1,6,7,8,9,10,11],[2,3,7,9,10,12,14],[2,4,6,7,8,10,12],[2,4,7,8,9,12,13],[2,4,7,10,11,13,14],[2,5,6,8,9,11,14],[2,5,6,8,11,12,13],[2,5,6,9,10,13,14],[3,4,5,8,10,13,14],[3,4,5,9,10,11,12],[3,4,6,7,9,11,13],[3,4,6,8,10,11,14],[3,5,6,7,9,12,14],[3,5,7,8,11,12,13]]; G[6]:=Group([(1,4)(3,7)(8,11)(9,14)]); # Design 7: autom. group order 2, simple B[7]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,9,10,13],[1,2,3,11,12,13,14],[1,2,4,5,7,11,14],[1,3,6,7,8,13,14],[1,4,5,6,10,12,13],[1,4,6,9,12,13,14],[1,4,8,9,11,12,14],[1,5,7,8,10,13,14],[1,5,7,9,10,11,12],[1,6,7,8,9,10,11],[2,3,7,9,10,12,14],[2,4,6,7,8,10,12],[2,4,7,8,9,12,13],[2,4,7,10,11,13,14],[2,5,6,8,9,11,14],[2,5,6,8,11,12,13],[2,5,6,9,10,13,14],[3,4,5,8,10,12,14],[3,4,5,9,10,11,13],[3,4,6,7,9,11,13],[3,4,6,8,10,11,14],[3,5,6,7,9,12,14],[3,5,7,8,11,12,13]]; G[7]:=Group([(1,4)(3,7)(8,11)(9,14)]); # Design 8: autom. group order 2, simple B[8]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,3,9,11,12,13],[1,2,4,5,7,11,14],[1,3,6,7,8,13,14],[1,4,5,6,10,12,13],[1,4,6,9,10,13,14],[1,4,8,9,10,11,14],[1,5,7,8,9,10,12],[1,5,7,11,12,13,14],[1,6,7,8,9,11,12],[2,3,7,9,10,12,14],[2,4,6,7,8,10,12],[2,4,7,8,12,13,14],[2,4,7,9,10,11,13],[2,5,6,8,9,11,14],[2,5,6,8,10,11,13],[2,5,6,9,12,13,14],[3,4,5,8,9,12,13],[3,4,5,10,11,12,14],[3,4,6,7,9,11,13],[3,4,6,8,11,12,14],[3,5,6,7,9,10,14],[3,5,7,8,10,11,13]]; G[8]:=Group([(1,4)(3,7)(8,11)(9,14)]); # Design 9: autom. group order 2, simple B[9]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,3,9,11,12,13],[1,2,4,5,7,11,14],[1,3,6,7,8,13,14],[1,4,5,6,10,12,13],[1,4,6,9,10,13,14],[1,4,8,9,10,11,14],[1,5,7,8,9,12,13],[1,5,7,10,11,12,14],[1,6,7,8,9,11,12],[2,3,7,9,10,12,14],[2,4,6,7,8,10,12],[2,4,7,8,12,13,14],[2,4,7,9,10,11,13],[2,5,6,8,9,11,14],[2,5,6,8,10,11,13],[2,5,6,9,12,13,14],[3,4,5,8,9,10,12],[3,4,5,11,12,13,14],[3,4,6,7,9,11,13],[3,4,6,8,11,12,14],[3,5,6,7,9,10,14],[3,5,7,8,10,11,13]]; G[9]:=Group([(1,4)(3,7)(8,11)(9,14)]); # Design 10: autom. group order 2, simple B[10]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,3,9,11,12,13],[1,2,4,5,7,11,14],[1,3,6,7,8,13,14],[1,4,5,6,10,12,13],[1,4,6,9,12,13,14],[1,4,8,9,11,12,14],[1,5,7,8,9,10,12],[1,5,7,10,11,13,14],[1,6,7,8,9,10,11],[2,3,7,9,10,12,14],[2,4,6,7,8,10,12],[2,4,7,8,12,13,14],[2,4,7,9,10,11,13],[2,5,6,8,9,11,14],[2,5,6,8,11,12,13],[2,5,6,9,10,13,14],[3,4,5,8,9,10,13],[3,4,5,10,11,12,14],[3,4,6,7,9,11,13],[3,4,6,8,10,11,14],[3,5,6,7,9,12,14],[3,5,7,8,11,12,13]]; G[10]:=Group([(1,4)(3,7)(8,11)(9,14)]); # Design 11: autom. group order 2, simple B[11]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,3,9,11,12,13],[1,2,4,5,7,11,14],[1,3,6,7,8,13,14],[1,4,5,6,10,12,13],[1,4,6,9,12,13,14],[1,4,8,9,11,12,14],[1,5,7,8,9,10,13],[1,5,7,10,11,12,14],[1,6,7,8,9,10,11],[2,3,7,9,10,12,14],[2,4,6,7,8,10,12],[2,4,7,8,12,13,14],[2,4,7,9,10,11,13],[2,5,6,8,9,11,14],[2,5,6,8,11,12,13],[2,5,6,9,10,13,14],[3,4,5,8,9,10,12],[3,4,5,10,11,13,14],[3,4,6,7,9,11,13],[3,4,6,8,10,11,14],[3,5,6,7,9,12,14],[3,5,7,8,11,12,13]]; G[11]:=Group([(1,4)(3,7)(8,11)(9,14)]); # Design 12: autom. group order 2, simple B[12]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,5,7,12,14],[1,3,6,7,8,13,14],[1,4,5,6,10,11,13],[1,4,6,9,10,13,14],[1,4,8,9,10,12,14],[1,5,7,8,9,10,11],[1,5,7,9,11,12,13],[1,6,7,8,11,12,14],[2,3,7,9,10,11,14],[2,4,6,7,10,11,12],[2,4,7,8,9,11,13],[2,4,7,8,10,13,14],[2,5,6,8,9,12,14],[2,5,6,8,10,12,13],[2,5,6,9,11,13,14],[3,4,5,8,11,13,14],[3,4,5,10,11,12,14],[3,4,6,7,9,12,13],[3,4,6,8,9,11,12],[3,5,6,7,9,10,14],[3,5,7,8,10,12,13]]; G[12]:=Group([(1,4)(3,7)(8,12)(9,14)]); # Design 13: autom. group order 2, simple B[13]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,5,7,12,14],[1,3,6,7,8,13,14],[1,4,5,6,10,11,13],[1,4,6,9,10,13,14],[1,4,8,9,10,12,14],[1,5,7,8,9,11,13],[1,5,7,9,10,11,12],[1,6,7,8,11,12,14],[2,3,7,9,10,11,14],[2,4,6,7,10,11,12],[2,4,7,8,9,11,13],[2,4,7,8,10,13,14],[2,5,6,8,9,12,14],[2,5,6,8,10,12,13],[2,5,6,9,11,13,14],[3,4,5,8,10,11,14],[3,4,5,11,12,13,14],[3,4,6,7,9,12,13],[3,4,6,8,9,11,12],[3,5,6,7,9,10,14],[3,5,7,8,10,12,13]]; G[13]:=Group([(1,4)(3,7)(8,12)(9,14)]); # Design 14: autom. group order 2, simple B[14]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,5,7,12,14],[1,3,6,7,8,13,14],[1,4,5,6,10,11,13],[1,4,6,9,11,13,14],[1,4,8,9,11,12,14],[1,5,7,8,9,10,11],[1,5,7,9,10,12,13],[1,6,7,8,10,12,14],[2,3,7,9,10,11,14],[2,4,6,7,10,11,12],[2,4,7,8,9,11,13],[2,4,7,8,10,13,14],[2,5,6,8,9,12,14],[2,5,6,8,11,12,13],[2,5,6,9,10,13,14],[3,4,5,8,10,13,14],[3,4,5,10,11,12,14],[3,4,6,7,9,12,13],[3,4,6,8,9,10,12],[3,5,6,7,9,11,14],[3,5,7,8,11,12,13]]; G[14]:=Group([(1,4)(3,7)(8,12)(9,14)]); # Design 15: autom. group order 2, simple B[15]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,5,7,12,14],[1,3,6,7,8,13,14],[1,4,5,6,10,11,13],[1,4,6,9,11,13,14],[1,4,8,9,11,12,14],[1,5,7,8,9,10,13],[1,5,7,9,10,11,12],[1,6,7,8,10,12,14],[2,3,7,9,10,11,14],[2,4,6,7,10,11,12],[2,4,7,8,9,11,13],[2,4,7,8,10,13,14],[2,5,6,8,9,12,14],[2,5,6,8,11,12,13],[2,5,6,9,10,13,14],[3,4,5,8,10,11,14],[3,4,5,10,12,13,14],[3,4,6,7,9,12,13],[3,4,6,8,9,10,12],[3,5,6,7,9,11,14],[3,5,7,8,11,12,13]]; G[15]:=Group([(1,4)(3,7)(8,12)(9,14)]); # Design 16: autom. group order 2, simple, residual B[16]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,11,12],[1,2,4,5,10,13,14],[1,3,6,9,11,13,14],[1,4,5,7,8,11,12],[1,4,6,7,11,12,13],[1,4,6,8,10,13,14],[1,5,7,9,10,12,14],[1,5,8,9,11,13,14],[1,6,7,8,9,10,12],[2,3,7,8,12,13,14],[2,4,6,7,9,11,14],[2,4,6,8,9,12,13],[2,4,7,9,10,11,14],[2,5,6,8,9,12,14],[2,5,6,10,11,12,13],[2,5,7,8,10,11,13],[3,4,5,6,10,12,14],[3,4,5,9,11,12,13],[3,4,7,8,9,10,13],[3,4,8,10,11,12,14],[3,5,6,7,8,11,14],[3,5,6,7,9,10,13]]; G[16]:=Group([(1,10)(3,11)(4,13)(6,8)(9,12)]); # Design 17: autom. group order 2, simple B[17]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,12,13],[1,2,4,5,11,12,14],[1,3,6,9,11,13,14],[1,4,5,7,8,10,13],[1,4,6,7,10,11,13],[1,4,6,8,11,12,14],[1,5,7,9,10,12,14],[1,5,8,9,11,13,14],[1,6,7,8,9,10,12],[2,3,7,8,10,11,14],[2,4,6,7,9,13,14],[2,4,6,8,9,12,13],[2,4,7,9,10,11,14],[2,5,6,8,9,10,14],[2,5,6,10,11,12,13],[2,5,7,8,11,12,13],[3,4,5,6,10,12,14],[3,4,5,9,10,11,13],[3,4,7,8,9,11,12],[3,4,8,10,12,13,14],[3,5,6,7,8,13,14],[3,5,6,7,9,11,12]]; G[17]:=Group([(1,12)(3,13)(4,11)(6,8)(9,10)]); # Design 18: autom. group order 2, simple, residual B[18]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,11,12],[1,2,3,9,12,13,14],[1,2,4,5,10,13,14],[1,3,6,11,12,13,14],[1,4,5,8,9,11,12],[1,4,6,7,9,11,13],[1,4,6,8,10,13,14],[1,5,7,8,11,13,14],[1,5,7,9,10,12,14],[1,6,7,8,9,10,12],[2,3,7,8,9,13,14],[2,4,6,7,8,12,13],[2,4,6,9,11,12,14],[2,4,7,9,10,11,14],[2,5,6,7,8,12,14],[2,5,6,9,10,11,13],[2,5,8,10,11,12,13],[3,4,5,6,10,12,14],[3,4,5,7,11,12,13],[3,4,7,8,10,11,14],[3,4,8,9,10,12,13],[3,5,6,7,9,10,13],[3,5,6,8,9,11,14]]; G[18]:=Group([(1,10)(3,11)(4,13)(6,8)(7,12)]); # Design 19: autom. group order 2, simple B[19]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,12,13,14],[1,2,4,5,11,12,14],[1,3,6,10,11,13,14],[1,4,5,8,9,10,13],[1,4,6,7,9,11,13],[1,4,6,8,11,12,14],[1,5,7,8,11,13,14],[1,5,7,9,10,12,14],[1,6,7,8,9,10,12],[2,3,7,8,9,11,14],[2,4,6,7,8,12,13],[2,4,6,9,10,13,14],[2,4,7,9,10,11,14],[2,5,6,7,8,10,14],[2,5,6,9,11,12,13],[2,5,8,10,11,12,13],[3,4,5,6,10,12,14],[3,4,5,7,10,11,13],[3,4,7,8,12,13,14],[3,4,8,9,10,11,12],[3,5,6,7,9,11,12],[3,5,6,8,9,13,14]]; G[19]:=Group([(1,12)(3,13)(4,11)(6,8)(7,10)]); # Design 20: autom. group order 2, simple, residual B[20]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,11,12],[1,2,3,9,12,13,14],[1,2,4,5,10,13,14],[1,3,6,11,12,13,14],[1,4,5,8,11,12,13],[1,4,6,7,9,11,14],[1,4,6,8,10,13,14],[1,5,7,8,9,11,14],[1,5,7,9,10,12,13],[1,6,7,8,9,10,12],[2,3,7,8,9,13,14],[2,4,6,7,8,12,14],[2,4,6,9,11,12,13],[2,4,7,9,10,11,13],[2,5,6,7,8,12,13],[2,5,6,9,10,11,14],[2,5,8,10,11,12,14],[3,4,5,6,9,10,12],[3,4,5,7,11,12,14],[3,4,7,8,10,11,13],[3,4,8,9,10,12,14],[3,5,6,7,10,13,14],[3,5,6,8,9,11,13]]; G[20]:=Group([(1,10)(3,11)(4,14)(6,8)(7,12)]); # Design 21: autom. group order 2, simple B[21]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,12,13,14],[1,2,4,5,11,12,14],[1,3,6,10,11,13,14],[1,4,5,8,10,13,14],[1,4,6,7,9,11,13],[1,4,6,8,11,12,14],[1,5,7,8,9,11,13],[1,5,7,9,10,12,14],[1,6,7,8,9,10,12],[2,3,7,8,9,11,14],[2,4,6,7,8,12,13],[2,4,6,9,10,13,14],[2,4,7,9,10,11,14],[2,5,6,7,8,10,14],[2,5,6,9,11,12,13],[2,5,8,10,11,12,13],[3,4,5,6,9,10,12],[3,4,5,7,10,11,13],[3,4,7,8,12,13,14],[3,4,8,9,10,11,12],[3,5,6,7,11,12,14],[3,5,6,8,9,13,14]]; G[21]:=Group([(1,12)(3,13)(4,11)(6,8)(7,10)]); # Design 22: autom. group order 2, simple, residual B[22]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,11,12],[1,2,4,5,10,13,14],[1,3,6,9,11,13,14],[1,4,5,8,11,12,13],[1,4,6,7,11,12,14],[1,4,6,8,10,13,14],[1,5,7,8,9,11,14],[1,5,7,9,10,12,13],[1,6,7,8,9,10,12],[2,3,7,8,12,13,14],[2,4,6,7,9,11,13],[2,4,6,8,9,12,14],[2,4,7,9,10,11,13],[2,5,6,8,9,12,13],[2,5,6,10,11,12,14],[2,5,7,8,10,11,14],[3,4,5,6,7,10,12],[3,4,5,9,11,12,14],[3,4,7,8,9,10,14],[3,4,8,10,11,12,13],[3,5,6,7,8,11,13],[3,5,6,9,10,13,14]]; G[22]:=Group([(1,10)(3,11)(4,14)(6,8)(9,12)]); # Design 23: autom. group order 2, simple B[23]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,12,13],[1,2,4,5,11,12,14],[1,3,6,9,11,13,14],[1,4,5,8,10,13,14],[1,4,6,7,10,11,13],[1,4,6,8,11,12,14],[1,5,7,8,9,11,13],[1,5,7,9,10,12,14],[1,6,7,8,9,10,12],[2,3,7,8,10,11,14],[2,4,6,7,9,13,14],[2,4,6,8,9,12,13],[2,4,7,9,10,11,14],[2,5,6,8,9,10,14],[2,5,6,10,11,12,13],[2,5,7,8,11,12,13],[3,4,5,6,7,10,12],[3,4,5,9,10,11,13],[3,4,7,8,9,11,12],[3,4,8,10,12,13,14],[3,5,6,7,8,13,14],[3,5,6,9,11,12,14]]; G[23]:=Group([(1,12)(3,13)(4,11)(6,8)(9,10)]); # Design 24: autom. group order 2, simple B[24]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,11,12,13,14],[1,2,4,5,9,13,14],[1,3,6,7,9,10,14],[1,4,5,10,11,12,13],[1,4,6,7,9,11,12],[1,4,6,8,11,13,14],[1,5,7,8,10,11,14],[1,5,8,9,10,12,14],[1,6,7,8,9,12,13],[2,3,8,9,11,12,14],[2,4,6,8,9,10,11],[2,4,7,8,10,12,13],[2,4,7,9,10,12,14],[2,5,6,7,8,11,14],[2,5,6,7,12,13,14],[2,5,6,9,10,11,13],[3,4,5,6,10,12,14],[3,4,5,7,8,11,12],[3,4,6,8,10,13,14],[3,4,7,9,11,13,14],[3,5,6,8,9,12,13],[3,5,7,9,10,11,13]]; G[24]:=Group([(1,3)(4,12)(5,11)(7,10)(8,13)(9,14)]); # Design 25: autom. group order 2, simple B[25]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,11,12,13,14],[1,2,4,5,9,13,14],[1,3,6,7,9,10,14],[1,4,5,8,10,11,12],[1,4,6,7,9,11,12],[1,4,6,8,11,13,14],[1,5,7,8,10,11,14],[1,5,9,10,12,13,14],[1,6,7,8,9,12,13],[2,3,8,9,11,12,14],[2,4,6,9,10,11,13],[2,4,7,8,10,12,13],[2,4,7,9,10,12,14],[2,5,6,7,8,12,14],[2,5,6,7,11,13,14],[2,5,6,8,9,10,11],[3,4,5,6,10,12,14],[3,4,5,7,11,12,13],[3,4,6,8,10,13,14],[3,4,7,8,9,11,14],[3,5,6,8,9,12,13],[3,5,7,9,10,11,13]]; G[25]:=Group([(1,3)(4,12)(5,11)(7,10)(8,13)(9,14)]); # Design 26: autom. group order 2, simple, residual B[26]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,3,8,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,11,13,14],[1,4,5,9,11,12,13],[1,4,6,7,8,11,14],[1,4,6,9,10,12,13],[1,5,7,8,10,13,14],[1,5,7,9,11,12,14],[1,6,7,8,9,10,12],[2,3,7,9,12,13,14],[2,4,6,7,8,12,13],[2,4,7,10,11,12,14],[2,4,8,9,10,11,14],[2,5,6,7,9,11,13],[2,5,6,8,9,10,11],[2,5,6,8,12,13,14],[3,4,5,6,11,12,14],[3,4,5,7,8,10,12],[3,4,6,9,10,13,14],[3,4,7,8,9,11,13],[3,5,6,7,9,10,14],[3,5,8,10,11,12,13]]; G[26]:=Group([(1,10)(3,11)(5,14)(6,12)]); # Design 27: autom. group order 2, simple B[27]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,11,12,13,14],[1,2,4,5,9,11,14],[1,3,6,7,9,10,14],[1,4,5,10,11,12,13],[1,4,6,7,9,12,13],[1,4,8,9,10,12,14],[1,5,6,8,10,12,14],[1,5,7,8,11,13,14],[1,6,7,8,9,11,13],[2,3,8,9,12,13,14],[2,4,6,7,11,12,14],[2,4,6,8,10,11,13],[2,4,6,9,10,13,14],[2,5,6,7,8,12,14],[2,5,7,8,9,10,13],[2,5,7,9,10,11,12],[3,4,5,6,8,12,13],[3,4,5,7,10,13,14],[3,4,7,8,9,11,12],[3,4,7,8,10,11,14],[3,5,6,9,10,11,12],[3,5,6,9,11,13,14]]; G[27]:=Group([(1,3)(4,13)(5,12)(6,10)(8,11)(9,14)]); # Design 28: autom. group order 2, simple B[28]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,11,12,13,14],[1,2,4,5,9,11,14],[1,3,6,7,9,10,14],[1,4,5,8,10,12,13],[1,4,6,7,9,12,13],[1,4,9,10,11,12,14],[1,5,6,8,10,12,14],[1,5,7,8,11,13,14],[1,6,7,8,9,11,13],[2,3,8,9,12,13,14],[2,4,6,7,8,12,14],[2,4,6,8,10,11,13],[2,4,6,9,10,13,14],[2,5,6,7,11,12,14],[2,5,7,8,9,10,12],[2,5,7,9,10,11,13],[3,4,5,6,11,12,13],[3,4,5,7,10,13,14],[3,4,7,8,9,11,12],[3,4,7,8,10,11,14],[3,5,6,8,9,13,14],[3,5,6,9,10,11,12]]; G[28]:=Group([(1,3)(4,13)(5,12)(6,10)(8,11)(9,14)]); # Design 29: autom. group order 2, simple, residual B[29]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,11],[1,2,3,9,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,11,13,14],[1,4,5,7,9,11,12],[1,4,6,9,10,12,13],[1,4,7,8,10,13,14],[1,5,6,7,11,13,14],[1,5,8,9,11,12,14],[1,6,7,8,9,10,12],[2,3,7,9,12,13,14],[2,4,6,7,8,12,13],[2,4,6,8,9,11,14],[2,4,6,9,10,11,14],[2,5,6,7,8,12,14],[2,5,7,9,10,11,13],[2,5,8,10,11,12,13],[3,4,5,6,11,12,13],[3,4,5,8,10,12,14],[3,4,7,8,9,11,13],[3,4,7,10,11,12,14],[3,5,6,7,9,10,14],[3,5,6,8,9,10,13]]; G[29]:=Group([(1,10)(3,11)(4,13)(6,12)(7,8)]); # Design 30: autom. group order 2, simple, residual B[30]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,12,14],[1,2,4,5,11,13,14],[1,3,6,8,12,13,14],[1,4,5,7,9,10,12],[1,4,6,9,10,11,13],[1,4,7,8,11,13,14],[1,5,6,7,12,13,14],[1,5,8,9,10,12,14],[1,6,7,8,9,10,11],[2,3,7,9,10,13,14],[2,4,6,7,8,11,12],[2,4,6,8,9,12,14],[2,4,6,9,10,13,14],[2,5,6,7,8,10,14],[2,5,7,9,11,12,13],[2,5,8,10,11,12,13],[3,4,5,6,10,12,13],[3,4,5,8,10,11,14],[3,4,7,8,9,12,13],[3,4,7,10,11,12,14],[3,5,6,7,9,11,14],[3,5,6,8,9,11,13]]; G[30]:=Group([(1,11)(3,12)(4,13)(6,10)(7,8)]); # Design 31: autom. group order 2, simple, residual B[31]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,11],[1,2,3,9,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,11,13,14],[1,4,5,7,11,12,13],[1,4,6,9,10,12,14],[1,4,7,8,10,13,14],[1,5,6,7,9,11,14],[1,5,8,9,11,12,13],[1,6,7,8,9,10,12],[2,3,7,9,12,13,14],[2,4,6,7,8,12,14],[2,4,6,8,9,11,13],[2,4,6,9,10,11,13],[2,5,6,7,8,12,13],[2,5,7,9,10,11,14],[2,5,8,10,11,12,14],[3,4,5,6,11,12,14],[3,4,5,8,9,10,12],[3,4,7,8,9,11,14],[3,4,7,10,11,12,13],[3,5,6,7,9,10,13],[3,5,6,8,10,13,14]]; G[31]:=Group([(1,10)(3,11)(4,14)(6,12)(7,8)]); # Design 32: autom. group order 2, simple, residual B[32]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,12,14],[1,2,4,5,11,13,14],[1,3,6,8,12,13,14],[1,4,5,7,10,12,14],[1,4,6,9,10,11,13],[1,4,7,8,11,13,14],[1,5,6,7,9,12,13],[1,5,8,9,10,12,14],[1,6,7,8,9,10,11],[2,3,7,9,10,13,14],[2,4,6,7,8,11,12],[2,4,6,8,9,12,14],[2,4,6,9,10,13,14],[2,5,6,7,8,10,14],[2,5,7,9,11,12,13],[2,5,8,10,11,12,13],[3,4,5,6,10,12,13],[3,4,5,8,9,10,11],[3,4,7,8,9,12,13],[3,4,7,10,11,12,14],[3,5,6,7,9,11,14],[3,5,6,8,11,13,14]]; G[32]:=Group([(1,11)(3,12)(4,13)(6,10)(7,8)]); # Design 33: autom. group order 2, simple B[33]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,5,9,11,14],[1,3,6,9,12,13,14],[1,4,5,7,10,12,13],[1,4,6,9,10,11,14],[1,4,7,8,11,13,14],[1,5,6,8,10,11,13],[1,5,7,8,9,10,12],[1,6,7,8,9,12,14],[2,3,7,8,9,10,14],[2,4,6,7,8,11,12],[2,4,6,7,9,12,13],[2,4,6,8,10,13,14],[2,5,6,8,9,10,13],[2,5,7,10,11,12,14],[2,5,9,11,12,13,14],[3,4,5,6,10,12,14],[3,4,5,8,12,13,14],[3,4,7,9,10,11,13],[3,4,8,9,10,11,12],[3,5,6,7,8,11,14],[3,5,6,7,9,11,13]]; G[33]:=Group([(1,11)(3,12)(4,14)(6,10)(8,13)]); # Design 34: autom. group order 2, simple B[34]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,3,9,11,12,13],[1,2,4,5,7,11,14],[1,3,6,7,12,13,14],[1,4,5,8,10,12,13],[1,4,6,8,10,11,14],[1,4,7,9,11,13,14],[1,5,6,9,10,11,13],[1,5,7,8,9,10,12],[1,6,7,8,9,12,14],[2,3,7,8,9,10,14],[2,4,6,7,8,12,13],[2,4,6,8,9,11,12],[2,4,6,9,10,13,14],[2,5,6,7,9,10,13],[2,5,7,10,11,12,14],[2,5,8,11,12,13,14],[3,4,5,6,10,12,14],[3,4,5,9,12,13,14],[3,4,7,8,10,11,13],[3,4,7,9,10,11,12],[3,5,6,7,8,11,13],[3,5,6,8,9,11,14]]; G[34]:=Group([(1,11)(3,12)(4,14)(6,10)(9,13)]); # Design 35: autom. group order 2, simple, residual B[35]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,3,9,10,12,13],[1,2,4,5,11,12,14],[1,3,6,10,11,13,14],[1,4,5,7,10,13,14],[1,4,6,8,11,12,14],[1,4,7,8,9,11,13],[1,5,6,8,9,11,13],[1,5,7,9,10,12,14],[1,6,7,8,9,10,12],[2,3,7,8,9,11,14],[2,4,6,7,9,12,13],[2,4,6,9,10,11,14],[2,4,7,8,10,13,14],[2,5,6,7,11,12,13],[2,5,6,8,9,10,14],[2,5,8,10,11,12,13],[3,4,5,6,8,10,12],[3,4,5,9,10,11,13],[3,4,6,9,12,13,14],[3,4,7,8,10,11,12],[3,5,6,7,8,13,14],[3,5,7,9,11,12,14]]; G[35]:=Group([(1,12)(3,13)(4,11)(9,10)]); # Design 36: autom. group order 2, simple, residual B[36]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,11,12],[1,2,3,9,12,13,14],[1,2,4,5,10,13,14],[1,3,6,11,12,13,14],[1,4,5,8,9,11,12],[1,4,6,7,9,11,13],[1,4,7,8,11,13,14],[1,5,6,8,10,13,14],[1,5,7,9,10,12,14],[1,6,7,8,9,10,12],[2,3,7,8,9,13,14],[2,4,6,7,8,12,13],[2,4,6,9,10,11,14],[2,4,8,10,11,12,14],[2,5,6,7,8,12,14],[2,5,6,9,11,12,13],[2,5,7,9,10,11,13],[3,4,5,6,10,12,13],[3,4,5,7,11,12,14],[3,4,6,7,9,10,14],[3,4,8,9,10,12,13],[3,5,6,8,9,11,14],[3,5,7,8,10,11,13]]; G[36]:=Group([(1,10)(3,11)(5,14)(6,8)(7,12)]); # Design 37: autom. group order 2, simple, residual B[37]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,12,13,14],[1,2,4,5,11,12,14],[1,3,6,10,11,13,14],[1,4,5,8,9,10,13],[1,4,6,7,9,13,14],[1,4,7,8,11,13,14],[1,5,6,8,11,12,14],[1,5,7,9,10,11,12],[1,6,7,8,9,10,12],[2,3,7,8,9,11,14],[2,4,6,7,8,10,14],[2,4,6,9,11,12,13],[2,4,8,10,11,12,13],[2,5,6,7,8,12,13],[2,5,6,9,10,13,14],[2,5,7,9,10,11,14],[3,4,5,6,10,12,14],[3,4,5,7,10,11,13],[3,4,6,7,9,11,12],[3,4,8,9,10,12,14],[3,5,6,8,9,11,13],[3,5,7,8,12,13,14]]; G[37]:=Group([(1,12)(3,13)(5,11)(6,8)(7,10)]); # Design 38: autom. group order 2, simple, residual B[38]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,11,12],[1,2,3,9,12,13,14],[1,2,4,5,10,13,14],[1,3,6,11,12,13,14],[1,4,5,8,11,12,13],[1,4,6,7,9,11,13],[1,4,7,8,9,11,14],[1,5,6,8,10,13,14],[1,5,7,9,10,12,14],[1,6,7,8,9,10,12],[2,3,7,8,9,13,14],[2,4,6,7,8,12,13],[2,4,6,9,10,11,14],[2,4,8,10,11,12,14],[2,5,6,7,8,12,14],[2,5,6,9,11,12,13],[2,5,7,9,10,11,13],[3,4,5,6,9,10,12],[3,4,5,7,11,12,14],[3,4,6,7,10,13,14],[3,4,8,9,10,12,13],[3,5,6,8,9,11,14],[3,5,7,8,10,11,13]]; G[38]:=Group([(1,10)(3,11)(5,14)(6,8)(7,12)]); # Design 39: autom. group order 2, simple, residual B[39]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,12,13,14],[1,2,4,5,11,12,14],[1,3,6,10,11,13,14],[1,4,5,8,10,13,14],[1,4,6,7,9,13,14],[1,4,7,8,9,11,13],[1,5,6,8,11,12,14],[1,5,7,9,10,11,12],[1,6,7,8,9,10,12],[2,3,7,8,9,11,14],[2,4,6,7,8,10,14],[2,4,6,9,11,12,13],[2,4,8,10,11,12,13],[2,5,6,7,8,12,13],[2,5,6,9,10,13,14],[2,5,7,9,10,11,14],[3,4,5,6,9,10,12],[3,4,5,7,10,11,13],[3,4,6,7,11,12,14],[3,4,8,9,10,12,14],[3,5,6,8,9,11,13],[3,5,7,8,12,13,14]]; G[39]:=Group([(1,12)(3,13)(5,11)(6,8)(7,10)]); # Design 40: autom. group order 2, simple, residual B[40]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,5,10,12,14],[1,3,6,9,12,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,10,11],[1,4,6,8,11,13,14],[1,5,7,8,9,11,12],[1,5,7,10,11,13,14],[1,5,8,9,10,12,14],[2,3,7,8,11,12,14],[2,4,6,8,9,10,14],[2,4,7,10,12,13,14],[2,4,8,9,11,12,13],[2,5,6,7,8,11,14],[2,5,6,7,9,12,13],[2,5,6,9,10,11,13],[3,4,5,6,11,12,14],[3,4,5,7,9,13,14],[3,4,5,8,10,11,13],[3,4,7,9,10,11,12],[3,5,6,8,10,12,13],[3,6,7,8,9,10,14]]; G[40]:=Group([(1,5)(2,4)(8,9)(10,14)]); # Design 41: autom. group order 2, simple, residual B[41]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,3,9,10,13,14],[1,2,4,5,11,12,13],[1,3,6,9,11,12,14],[1,4,6,7,8,10,11],[1,4,6,7,9,12,14],[1,4,6,8,10,13,14],[1,5,7,8,9,10,12],[1,5,7,10,11,13,14],[1,5,8,9,11,12,13],[2,3,7,8,10,11,12],[2,4,6,8,9,11,13],[2,4,7,11,12,13,14],[2,4,8,9,10,12,14],[2,5,6,7,8,12,14],[2,5,6,7,9,10,13],[2,5,6,9,10,11,14],[3,4,5,6,10,12,13],[3,4,5,7,9,11,14],[3,4,5,8,10,11,14],[3,4,7,9,10,12,13],[3,5,6,8,12,13,14],[3,6,7,8,9,11,13]]; G[41]:=Group([(1,5)(2,4)(8,9)(11,13)]); # Design 42: autom. group order 2, simple, residual B[42]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,3,9,10,13,14],[1,2,4,5,11,12,13],[1,3,6,9,11,12,14],[1,4,6,7,8,10,13],[1,4,6,7,9,11,14],[1,4,6,8,10,12,14],[1,5,7,8,9,10,11],[1,5,7,10,12,13,14],[1,5,8,9,11,12,13],[2,3,7,8,10,11,12],[2,4,6,8,9,12,13],[2,4,7,11,12,13,14],[2,4,8,9,10,11,14],[2,5,6,7,8,11,14],[2,5,6,7,9,10,12],[2,5,6,9,10,13,14],[3,4,5,6,10,11,13],[3,4,5,7,9,12,14],[3,4,5,8,10,12,14],[3,4,7,9,10,11,13],[3,5,6,8,11,13,14],[3,6,7,8,9,12,13]]; G[42]:=Group([(1,5)(2,4)(8,9)(12,13)]); # Design 43: autom. group order 2, simple, residual B[43]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,5,10,12,14],[1,3,6,9,12,13,14],[1,4,6,7,8,11,14],[1,4,6,7,8,12,13],[1,4,6,9,10,11,13],[1,5,7,8,9,11,12],[1,5,7,10,11,13,14],[1,5,8,9,10,12,14],[2,3,7,8,11,12,14],[2,4,6,8,9,10,14],[2,4,7,10,12,13,14],[2,4,8,9,11,12,13],[2,5,6,7,9,10,11],[2,5,6,7,9,12,13],[2,5,6,8,11,13,14],[3,4,5,6,11,12,14],[3,4,5,7,9,13,14],[3,4,5,8,10,11,13],[3,4,7,9,10,11,12],[3,5,6,8,10,12,13],[3,6,7,8,9,10,14]]; G[43]:=Group([(1,5)(2,4)(8,9)(10,14)]); # Design 44: autom. group order 2, simple, residual B[44]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,5,10,12,14],[1,3,6,8,12,13,14],[1,4,6,7,9,10,11],[1,4,6,7,9,12,13],[1,4,6,8,11,13,14],[1,5,7,8,9,11,12],[1,5,7,10,11,13,14],[1,5,8,9,10,12,14],[2,3,7,9,11,12,14],[2,4,6,8,9,10,14],[2,4,7,10,12,13,14],[2,4,8,9,11,12,13],[2,5,6,7,8,11,14],[2,5,6,7,8,12,13],[2,5,6,9,10,11,13],[3,4,5,6,11,12,14],[3,4,5,7,9,13,14],[3,4,5,8,10,11,13],[3,4,7,8,10,11,12],[3,5,6,9,10,12,13],[3,6,7,8,9,10,14]]; G[44]:=Group([(1,5)(2,4)(8,9)(10,14)]); # Design 45: autom. group order 2, simple, residual B[45]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,3,9,10,11,13],[1,2,4,5,10,12,14],[1,3,6,8,12,13,14],[1,4,6,7,9,11,14],[1,4,6,7,9,12,13],[1,4,6,8,10,11,13],[1,5,7,8,9,11,12],[1,5,7,10,11,13,14],[1,5,8,9,10,12,14],[2,3,7,9,11,12,14],[2,4,6,8,9,10,14],[2,4,7,10,12,13,14],[2,4,8,9,11,12,13],[2,5,6,7,8,10,11],[2,5,6,7,8,12,13],[2,5,6,9,11,13,14],[3,4,5,6,11,12,14],[3,4,5,7,9,10,13],[3,4,5,8,11,13,14],[3,4,7,8,10,11,12],[3,5,6,9,10,12,13],[3,6,7,8,9,10,14]]; G[45]:=Group([(1,5)(2,4)(8,9)(10,14)]); # Design 46: autom. group order 2, simple, residual B[46]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,11],[1,2,3,9,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,11,13,14],[1,4,6,7,9,10,12],[1,4,6,7,11,13,14],[1,4,6,8,9,12,13],[1,5,7,8,9,11,12],[1,5,7,8,10,13,14],[1,5,9,10,11,12,14],[2,3,7,9,12,13,14],[2,4,6,8,9,10,14],[2,4,7,8,11,12,13],[2,4,8,10,11,12,14],[2,5,6,7,9,11,14],[2,5,6,7,10,12,13],[2,5,6,8,9,11,13],[3,4,5,6,11,12,14],[3,4,5,7,8,12,14],[3,4,5,9,10,11,13],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[3,6,7,8,9,10,14]]; G[46]:=Group([(1,5)(2,4)(10,14)(11,12)]); # Design 47: autom. group order 2, simple, residual B[47]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,11],[1,2,3,9,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,12,13,14],[1,4,6,7,9,10,12],[1,4,6,7,11,13,14],[1,4,6,8,9,11,13],[1,5,7,8,9,11,12],[1,5,7,8,10,13,14],[1,5,9,10,11,12,14],[2,3,7,9,11,13,14],[2,4,6,8,9,10,14],[2,4,7,8,11,12,13],[2,4,8,10,11,12,14],[2,5,6,7,9,11,14],[2,5,6,7,10,12,13],[2,5,6,8,9,12,13],[3,4,5,6,11,12,14],[3,4,5,7,8,12,14],[3,4,5,9,10,11,13],[3,4,7,9,10,12,13],[3,5,6,8,10,11,13],[3,6,7,8,9,10,14]]; G[47]:=Group([(1,5)(2,4)(10,14)(11,12)]); # Design 48: autom. group order 2, simple, residual B[48]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,11],[1,2,3,9,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,11,13,14],[1,4,6,7,9,11,13],[1,4,6,7,10,12,14],[1,4,6,8,9,12,14],[1,5,7,8,9,11,12],[1,5,7,8,10,13,14],[1,5,9,10,11,12,13],[2,3,7,9,12,13,14],[2,4,6,8,9,10,13],[2,4,7,8,11,12,14],[2,4,8,10,11,12,13],[2,5,6,7,9,10,12],[2,5,6,7,11,13,14],[2,5,6,8,9,11,14],[3,4,5,6,11,12,13],[3,4,5,7,8,12,13],[3,4,5,9,10,11,14],[3,4,7,9,10,11,14],[3,5,6,8,10,12,14],[3,6,7,8,9,10,13]]; G[48]:=Group([(1,5)(2,4)(10,13)(11,12)]); # Design 49: autom. group order 2, simple, residual B[49]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,11],[1,2,3,9,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,12,13,14],[1,4,6,7,9,11,13],[1,4,6,7,10,12,14],[1,4,6,8,9,11,14],[1,5,7,8,9,11,12],[1,5,7,8,10,13,14],[1,5,9,10,11,12,13],[2,3,7,9,11,13,14],[2,4,6,8,9,10,13],[2,4,7,8,11,12,14],[2,4,8,10,11,12,13],[2,5,6,7,9,10,12],[2,5,6,7,11,13,14],[2,5,6,8,9,12,14],[3,4,5,6,11,12,13],[3,4,5,7,8,12,13],[3,4,5,9,10,11,14],[3,4,7,9,10,12,14],[3,5,6,8,10,11,14],[3,6,7,8,9,10,13]]; G[49]:=Group([(1,5)(2,4)(10,13)(11,12)]); # Design 50: autom. group order 2, simple, residual B[50]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,12,14],[1,2,4,5,11,13,14],[1,3,6,8,10,13,14],[1,4,6,7,9,10,11],[1,4,6,7,12,13,14],[1,4,6,8,9,12,14],[1,5,7,8,9,10,12],[1,5,7,8,11,13,14],[1,5,9,10,11,12,13],[2,3,7,9,12,13,14],[2,4,6,8,9,11,13],[2,4,7,8,10,12,14],[2,4,8,10,11,12,13],[2,5,6,7,9,12,13],[2,5,6,7,10,11,14],[2,5,6,8,9,10,14],[3,4,5,6,10,12,13],[3,4,5,7,8,11,12],[3,4,5,9,10,13,14],[3,4,7,9,10,11,14],[3,5,6,8,11,12,14],[3,6,7,8,9,11,13]]; G[50]:=Group([(1,5)(2,4)(10,12)(11,13)]); # Design 51: autom. group order 2, simple, residual B[51]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,12,14],[1,2,4,5,11,13,14],[1,3,6,8,10,13,14],[1,4,6,7,9,12,13],[1,4,6,7,10,11,14],[1,4,6,8,9,12,14],[1,5,7,8,9,10,12],[1,5,7,8,11,13,14],[1,5,9,10,11,12,13],[2,3,7,9,12,13,14],[2,4,6,8,9,11,13],[2,4,7,8,10,12,14],[2,4,8,10,11,12,13],[2,5,6,7,9,10,11],[2,5,6,7,12,13,14],[2,5,6,8,9,10,14],[3,4,5,6,10,12,13],[3,4,5,7,8,11,12],[3,4,5,9,10,13,14],[3,4,7,9,10,11,14],[3,5,6,8,11,12,14],[3,6,7,8,9,11,13]]; G[51]:=Group([(1,5)(2,4)(10,12)(11,13)]); # Design 52: autom. group order 2, simple, residual B[52]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,6,7,9,11,12],[1,4,6,7,11,13,14],[1,4,6,8,9,10,14],[1,5,7,8,9,10,11],[1,5,7,8,12,13,14],[1,5,9,10,11,12,13],[2,3,7,9,11,12,14],[2,4,6,8,9,12,13],[2,4,7,8,10,11,14],[2,4,8,10,11,12,13],[2,5,6,7,9,10,13],[2,5,6,7,10,12,14],[2,5,6,8,9,11,14],[3,4,5,6,10,11,13],[3,4,5,7,8,11,12],[3,4,5,9,10,12,14],[3,4,7,9,10,13,14],[3,5,6,8,11,13,14],[3,6,7,8,9,12,13]]; G[52]:=Group([(1,5)(2,4)(10,11)(12,13)]); # Design 53: autom. group order 2, simple, residual B[53]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,6,7,9,11,13],[1,4,6,7,11,12,14],[1,4,6,8,9,10,14],[1,5,7,8,9,10,11],[1,5,7,8,12,13,14],[1,5,9,10,11,12,13],[2,3,7,9,11,12,14],[2,4,6,8,9,12,13],[2,4,7,8,10,11,14],[2,4,8,10,11,12,13],[2,5,6,7,9,10,12],[2,5,6,7,10,13,14],[2,5,6,8,9,11,14],[3,4,5,6,10,11,13],[3,4,5,7,8,11,12],[3,4,5,9,10,12,14],[3,4,7,9,10,13,14],[3,5,6,8,11,13,14],[3,6,7,8,9,12,13]]; G[53]:=Group([(1,5)(2,4)(10,11)(12,13)]); # Design 54: autom. group order 2, simple, residual B[54]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,5,12,13,14],[1,3,6,8,11,12,14],[1,4,6,7,9,10,12],[1,4,6,7,10,13,14],[1,4,6,8,9,11,14],[1,5,7,8,9,10,11],[1,5,7,8,12,13,14],[1,5,9,10,11,12,13],[2,3,7,9,10,12,14],[2,4,6,8,9,12,13],[2,4,7,8,10,11,14],[2,4,8,10,11,12,13],[2,5,6,7,9,11,13],[2,5,6,7,11,12,14],[2,5,6,8,9,10,14],[3,4,5,6,10,11,13],[3,4,5,7,8,11,12],[3,4,5,9,10,12,14],[3,4,7,9,11,13,14],[3,5,6,8,10,13,14],[3,6,7,8,9,12,13]]; G[54]:=Group([(1,5)(2,4)(10,11)(12,13)]); # Design 55: autom. group order 2, simple, residual B[55]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,5,12,13,14],[1,3,6,8,11,12,14],[1,4,6,7,9,10,13],[1,4,6,7,10,12,14],[1,4,6,8,9,11,14],[1,5,7,8,9,10,11],[1,5,7,8,12,13,14],[1,5,9,10,11,12,13],[2,3,7,9,10,12,14],[2,4,6,8,9,12,13],[2,4,7,8,10,11,14],[2,4,8,10,11,12,13],[2,5,6,7,9,11,12],[2,5,6,7,11,13,14],[2,5,6,8,9,10,14],[3,4,5,6,10,11,13],[3,4,5,7,8,11,12],[3,4,5,9,10,12,14],[3,4,7,9,11,13,14],[3,5,6,8,10,13,14],[3,6,7,8,9,12,13]]; G[55]:=Group([(1,5)(2,4)(10,11)(12,13)]); # Design 56: autom. group order 2, simple, residual B[56]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,12,14],[1,2,4,5,11,13,14],[1,3,6,8,12,13,14],[1,4,6,7,9,10,11],[1,4,6,7,12,13,14],[1,4,6,8,9,10,14],[1,5,7,8,9,10,12],[1,5,7,8,11,13,14],[1,5,9,10,11,12,13],[2,3,7,9,10,13,14],[2,4,6,8,9,11,13],[2,4,7,8,10,12,14],[2,4,8,10,11,12,13],[2,5,6,7,9,12,13],[2,5,6,7,10,11,14],[2,5,6,8,9,12,14],[3,4,5,6,10,12,13],[3,4,5,7,8,11,12],[3,4,5,9,10,13,14],[3,4,7,9,11,12,14],[3,5,6,8,10,11,14],[3,6,7,8,9,11,13]]; G[56]:=Group([(1,5)(2,4)(10,12)(11,13)]); # Design 57: autom. group order 2, simple, residual B[57]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,12,14],[1,2,4,5,11,13,14],[1,3,6,8,12,13,14],[1,4,6,7,9,12,13],[1,4,6,7,10,11,14],[1,4,6,8,9,10,14],[1,5,7,8,9,10,12],[1,5,7,8,11,13,14],[1,5,9,10,11,12,13],[2,3,7,9,10,13,14],[2,4,6,8,9,11,13],[2,4,7,8,10,12,14],[2,4,8,10,11,12,13],[2,5,6,7,9,10,11],[2,5,6,7,12,13,14],[2,5,6,8,9,12,14],[3,4,5,6,10,12,13],[3,4,5,7,8,11,12],[3,4,5,9,10,13,14],[3,4,7,9,11,12,14],[3,5,6,8,10,11,14],[3,6,7,8,9,11,13]]; G[57]:=Group([(1,5)(2,4)(10,12)(11,13)]); # Design 58: autom. group order 2, simple, residual B[58]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,3,9,10,11,13],[1,2,4,5,10,12,14],[1,3,6,8,12,13,14],[1,4,6,7,8,10,11],[1,4,6,7,9,12,13],[1,4,6,9,11,13,14],[1,5,7,8,9,11,12],[1,5,7,10,11,13,14],[1,5,8,9,10,12,14],[2,3,7,9,11,12,14],[2,4,6,8,9,10,14],[2,4,7,10,12,13,14],[2,4,8,9,11,12,13],[2,5,6,7,8,12,13],[2,5,6,7,9,11,14],[2,5,6,8,10,11,13],[3,4,5,6,11,12,14],[3,4,5,7,9,10,13],[3,4,5,8,11,13,14],[3,4,7,8,10,11,12],[3,5,6,9,10,12,13],[3,6,7,8,9,10,14]]; G[58]:=Group([(1,5)(2,4)(8,9)(10,14)]); # Design 59: autom. group order 2, simple, residual B[59]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,3,9,10,13,14],[1,2,4,5,11,12,13],[1,3,6,8,11,12,14],[1,4,6,7,8,11,14],[1,4,6,7,9,10,12],[1,4,6,9,10,13,14],[1,5,7,8,9,10,11],[1,5,7,10,12,13,14],[1,5,8,9,11,12,13],[2,3,7,9,10,11,12],[2,4,6,8,9,12,13],[2,4,7,11,12,13,14],[2,4,8,9,10,11,14],[2,5,6,7,8,10,13],[2,5,6,7,9,11,14],[2,5,6,8,10,12,14],[3,4,5,6,10,11,13],[3,4,5,7,9,12,14],[3,4,5,8,10,12,14],[3,4,7,8,10,11,13],[3,5,6,9,11,13,14],[3,6,7,8,9,12,13]]; G[59]:=Group([(1,5)(2,4)(8,9)(12,13)]); # Design 60: autom. group order 2, simple, residual B[60]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,3,9,10,13,14],[1,2,4,5,11,12,13],[1,3,6,8,11,12,14],[1,4,6,7,8,11,14],[1,4,6,7,9,10,13],[1,4,6,9,10,12,14],[1,5,7,8,9,10,11],[1,5,7,10,12,13,14],[1,5,8,9,11,12,13],[2,3,7,9,10,11,12],[2,4,6,8,9,12,13],[2,4,7,11,12,13,14],[2,4,8,9,10,11,14],[2,5,6,7,8,10,12],[2,5,6,7,9,11,14],[2,5,6,8,10,13,14],[3,4,5,6,10,11,13],[3,4,5,7,9,12,14],[3,4,5,8,10,12,14],[3,4,7,8,10,11,13],[3,5,6,9,11,13,14],[3,6,7,8,9,12,13]]; G[60]:=Group([(1,5)(2,4)(8,9)(12,13)]); # Design 61: autom. group order 2, simple, residual B[61]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,10,13,14],[1,3,6,9,11,13,14],[1,4,6,7,8,11,13],[1,4,6,7,9,10,12],[1,4,6,8,12,13,14],[1,5,7,8,9,10,14],[1,5,7,10,11,12,14],[1,5,8,9,11,12,13],[2,3,7,8,12,13,14],[2,4,6,10,11,12,14],[2,4,7,8,9,11,12],[2,4,8,9,10,13,14],[2,5,6,7,8,11,14],[2,5,6,7,9,12,13],[2,5,6,9,10,11,13],[3,4,5,6,9,12,14],[3,4,5,7,11,13,14],[3,4,5,8,10,11,12],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[3,6,7,8,9,10,14]]; G[61]:=Group([(1,5)(2,4)(8,9)(10,14)(11,12)]); # Design 62: autom. group order 2, simple, residual B[62]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,10,13,14],[1,3,6,9,11,13,14],[1,4,6,7,8,11,13],[1,4,6,7,9,10,12],[1,4,6,8,12,13,14],[1,5,7,8,9,11,12],[1,5,7,10,11,12,14],[1,5,8,9,10,13,14],[2,3,7,8,12,13,14],[2,4,6,10,11,12,14],[2,4,7,8,9,10,14],[2,4,8,9,11,12,13],[2,5,6,7,8,11,14],[2,5,6,7,9,12,13],[2,5,6,9,10,11,13],[3,4,5,6,9,12,14],[3,4,5,7,11,13,14],[3,4,5,8,10,11,12],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[3,6,7,8,9,10,14]]; G[62]:=Group([(1,5)(2,4)(8,9)(10,14)(11,12)]); # Design 63: autom. group order 2, simple, residual B[63]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,11,12],[1,2,4,5,10,13,14],[1,3,6,9,11,13,14],[1,4,6,7,8,10,12],[1,4,6,7,9,12,13],[1,4,6,8,11,13,14],[1,5,7,8,9,10,14],[1,5,7,10,11,12,14],[1,5,8,9,11,12,13],[2,3,7,8,12,13,14],[2,4,6,10,11,12,14],[2,4,7,8,9,11,12],[2,4,8,9,10,13,14],[2,5,6,7,8,11,13],[2,5,6,7,9,11,14],[2,5,6,9,10,12,13],[3,4,5,6,9,12,14],[3,4,5,7,10,11,13],[3,4,5,8,11,12,14],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[3,6,7,8,9,10,14]]; G[63]:=Group([(1,5)(2,4)(8,9)(10,14)(11,12)]); # Design 64: autom. group order 2, simple, residual B[64]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,11,12],[1,2,4,5,10,13,14],[1,3,6,9,11,13,14],[1,4,6,7,8,11,13],[1,4,6,7,9,12,14],[1,4,6,8,10,12,14],[1,5,7,8,9,10,13],[1,5,7,10,11,12,13],[1,5,8,9,11,12,14],[2,3,7,8,12,13,14],[2,4,6,10,11,12,13],[2,4,7,8,9,11,12],[2,4,8,9,10,13,14],[2,5,6,7,8,11,14],[2,5,6,7,9,10,12],[2,5,6,9,11,13,14],[3,4,5,6,9,12,13],[3,4,5,7,10,11,14],[3,4,5,8,11,12,13],[3,4,7,9,10,11,14],[3,5,6,8,10,12,14],[3,6,7,8,9,10,13]]; G[64]:=Group([(1,5)(2,4)(8,9)(10,13)(11,12)]); # Design 65: autom. group order 2, simple, residual B[65]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,11,12],[1,2,4,5,10,13,14],[1,3,6,9,11,13,14],[1,4,6,7,8,11,13],[1,4,6,7,9,12,14],[1,4,6,8,10,12,14],[1,5,7,8,9,11,12],[1,5,7,10,11,12,13],[1,5,8,9,10,13,14],[2,3,7,8,12,13,14],[2,4,6,10,11,12,13],[2,4,7,8,9,10,13],[2,4,8,9,11,12,14],[2,5,6,7,8,11,14],[2,5,6,7,9,10,12],[2,5,6,9,11,13,14],[3,4,5,6,9,12,13],[3,4,5,7,10,11,14],[3,4,5,8,11,12,13],[3,4,7,9,10,11,14],[3,5,6,8,10,12,14],[3,6,7,8,9,10,13]]; G[65]:=Group([(1,5)(2,4)(8,9)(10,13)(11,12)]); # Design 66: autom. group order 2, simple, residual B[66]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,12,13],[1,2,4,5,11,12,14],[1,3,6,9,10,11,14],[1,4,6,7,8,13,14],[1,4,6,7,9,11,13],[1,4,6,8,10,12,14],[1,5,7,8,9,11,12],[1,5,7,10,11,12,13],[1,5,8,9,10,13,14],[2,3,7,8,11,13,14],[2,4,6,10,11,12,13],[2,4,7,8,9,10,13],[2,4,8,9,11,12,14],[2,5,6,7,8,10,12],[2,5,6,7,9,10,14],[2,5,6,9,11,13,14],[3,4,5,6,9,12,13],[3,4,5,7,10,11,14],[3,4,5,8,10,11,13],[3,4,7,9,10,12,14],[3,5,6,8,12,13,14],[3,6,7,8,9,11,12]]; G[66]:=Group([(1,5)(2,4)(8,9)(10,13)(11,12)]); # Design 67: autom. group order 2, simple, residual B[67]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,10,13,14],[1,3,6,9,11,13,14],[1,4,6,7,8,11,13],[1,4,6,7,8,12,14],[1,4,6,9,10,12,13],[1,5,7,8,9,10,14],[1,5,7,10,11,12,14],[1,5,8,9,11,12,13],[2,3,7,8,12,13,14],[2,4,6,10,11,12,14],[2,4,7,8,9,11,12],[2,4,8,9,10,13,14],[2,5,6,7,9,10,11],[2,5,6,7,9,12,13],[2,5,6,8,11,13,14],[3,4,5,6,9,12,14],[3,4,5,7,11,13,14],[3,4,5,8,10,11,12],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[3,6,7,8,9,10,14]]; G[67]:=Group([(1,5)(2,4)(8,9)(10,14)(11,12)]); # Design 68: autom. group order 2, simple, residual B[68]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,10,13,14],[1,3,6,9,11,13,14],[1,4,6,7,8,11,13],[1,4,6,7,8,12,14],[1,4,6,9,10,12,13],[1,5,7,8,9,11,12],[1,5,7,10,11,12,14],[1,5,8,9,10,13,14],[2,3,7,8,12,13,14],[2,4,6,10,11,12,14],[2,4,7,8,9,10,14],[2,4,8,9,11,12,13],[2,5,6,7,9,10,11],[2,5,6,7,9,12,13],[2,5,6,8,11,13,14],[3,4,5,6,9,12,14],[3,4,5,7,11,13,14],[3,4,5,8,10,11,12],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[3,6,7,8,9,10,14]]; G[68]:=Group([(1,5)(2,4)(8,9)(10,14)(11,12)]); # Design 69: autom. group order 2, simple, residual B[69]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,12,13],[1,2,4,5,11,12,14],[1,3,6,9,10,11,14],[1,4,6,7,8,10,12],[1,4,6,7,8,13,14],[1,4,6,9,11,13,14],[1,5,7,8,9,10,13],[1,5,7,10,11,12,13],[1,5,8,9,11,12,14],[2,3,7,8,11,13,14],[2,4,6,10,11,12,13],[2,4,7,8,9,11,12],[2,4,8,9,10,13,14],[2,5,6,7,9,10,14],[2,5,6,7,9,11,13],[2,5,6,8,10,12,14],[3,4,5,6,9,12,13],[3,4,5,7,10,11,14],[3,4,5,8,10,11,13],[3,4,7,9,10,12,14],[3,5,6,8,12,13,14],[3,6,7,8,9,11,12]]; G[69]:=Group([(1,5)(2,4)(8,9)(10,13)(11,12)]); # Design 70: autom. group order 2, simple, residual B[70]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,12,13],[1,2,4,5,11,12,14],[1,3,6,9,10,11,14],[1,4,6,7,8,10,12],[1,4,6,7,8,13,14],[1,4,6,9,11,13,14],[1,5,7,8,9,11,12],[1,5,7,10,11,12,13],[1,5,8,9,10,13,14],[2,3,7,8,11,13,14],[2,4,6,10,11,12,13],[2,4,7,8,9,10,13],[2,4,8,9,11,12,14],[2,5,6,7,9,10,14],[2,5,6,7,9,11,13],[2,5,6,8,10,12,14],[3,4,5,6,9,12,13],[3,4,5,7,10,11,14],[3,4,5,8,10,11,13],[3,4,7,9,10,12,14],[3,5,6,8,12,13,14],[3,6,7,8,9,11,12]]; G[70]:=Group([(1,5)(2,4)(8,9)(10,13)(11,12)]); # Design 71: autom. group order 2, simple, residual B[71]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,10,13,14],[1,3,6,8,12,13,14],[1,4,6,7,9,10,11],[1,4,6,7,9,12,13],[1,4,6,8,11,13,14],[1,5,7,8,9,10,14],[1,5,7,10,11,12,14],[1,5,8,9,11,12,13],[2,3,7,9,11,13,14],[2,4,6,10,11,12,14],[2,4,7,8,9,11,12],[2,4,8,9,10,13,14],[2,5,6,7,8,11,13],[2,5,6,7,8,12,14],[2,5,6,9,10,12,13],[3,4,5,6,9,12,14],[3,4,5,7,11,13,14],[3,4,5,8,10,11,12],[3,4,7,8,10,12,13],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[71]:=Group([(1,5)(2,4)(8,9)(10,14)(11,12)]); # Design 72: autom. group order 2, simple, residual B[72]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,10,13,14],[1,3,6,8,12,13,14],[1,4,6,7,9,10,11],[1,4,6,7,9,12,13],[1,4,6,8,11,13,14],[1,5,7,8,9,11,12],[1,5,7,10,11,12,14],[1,5,8,9,10,13,14],[2,3,7,9,11,13,14],[2,4,6,10,11,12,14],[2,4,7,8,9,10,14],[2,4,8,9,11,12,13],[2,5,6,7,8,11,13],[2,5,6,7,8,12,14],[2,5,6,9,10,12,13],[3,4,5,6,9,12,14],[3,4,5,7,11,13,14],[3,4,5,8,10,11,12],[3,4,7,8,10,12,13],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[72]:=Group([(1,5)(2,4)(8,9)(10,14)(11,12)]); # Design 73: autom. group order 2, simple, residual B[73]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,12,13],[1,2,4,5,11,12,14],[1,3,6,8,11,13,14],[1,4,6,7,9,10,14],[1,4,6,7,9,11,13],[1,4,6,8,10,12,14],[1,5,7,8,9,10,13],[1,5,7,10,11,12,13],[1,5,8,9,11,12,14],[2,3,7,9,10,11,14],[2,4,6,10,11,12,13],[2,4,7,8,9,11,12],[2,4,8,9,10,13,14],[2,5,6,7,8,10,12],[2,5,6,7,8,13,14],[2,5,6,9,11,13,14],[3,4,5,6,9,12,13],[3,4,5,7,10,11,14],[3,4,5,8,10,11,13],[3,4,7,8,12,13,14],[3,5,6,9,10,12,14],[3,6,7,8,9,11,12]]; G[73]:=Group([(1,5)(2,4)(8,9)(10,13)(11,12)]); # Design 74: autom. group order 2, simple, residual B[74]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,12,13],[1,2,4,5,11,12,14],[1,3,6,8,11,13,14],[1,4,6,7,9,10,14],[1,4,6,7,9,11,13],[1,4,6,8,10,12,14],[1,5,7,8,9,11,12],[1,5,7,10,11,12,13],[1,5,8,9,10,13,14],[2,3,7,9,10,11,14],[2,4,6,10,11,12,13],[2,4,7,8,9,10,13],[2,4,8,9,11,12,14],[2,5,6,7,8,10,12],[2,5,6,7,8,13,14],[2,5,6,9,11,13,14],[3,4,5,6,9,12,13],[3,4,5,7,10,11,14],[3,4,5,8,10,11,13],[3,4,7,8,12,13,14],[3,5,6,9,10,12,14],[3,6,7,8,9,11,12]]; G[74]:=Group([(1,5)(2,4)(8,9)(10,13)(11,12)]); # Design 75: autom. group order 2, simple, residual B[75]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,10,13,14],[1,3,6,8,12,13,14],[1,4,6,7,8,11,14],[1,4,6,7,9,12,13],[1,4,6,9,10,11,13],[1,5,7,8,9,10,14],[1,5,7,10,11,12,14],[1,5,8,9,11,12,13],[2,3,7,9,11,13,14],[2,4,6,10,11,12,14],[2,4,7,8,9,11,12],[2,4,8,9,10,13,14],[2,5,6,7,8,11,13],[2,5,6,7,9,10,12],[2,5,6,8,12,13,14],[3,4,5,6,9,12,14],[3,4,5,7,11,13,14],[3,4,5,8,10,11,12],[3,4,7,8,10,12,13],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[75]:=Group([(1,5)(2,4)(8,9)(10,14)(11,12)]); # Design 76: autom. group order 2, simple, residual B[76]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,10,13,14],[1,3,6,8,12,13,14],[1,4,6,7,8,11,14],[1,4,6,7,9,12,13],[1,4,6,9,10,11,13],[1,5,7,8,9,11,12],[1,5,7,10,11,12,14],[1,5,8,9,10,13,14],[2,3,7,9,11,13,14],[2,4,6,10,11,12,14],[2,4,7,8,9,10,14],[2,4,8,9,11,12,13],[2,5,6,7,8,11,13],[2,5,6,7,9,10,12],[2,5,6,8,12,13,14],[3,4,5,6,9,12,14],[3,4,5,7,11,13,14],[3,4,5,8,10,11,12],[3,4,7,8,10,12,13],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[76]:=Group([(1,5)(2,4)(8,9)(10,14)(11,12)]); # Design 77: autom. group order 2, simple, residual B[77]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,11,12],[1,2,4,5,10,13,14],[1,3,6,8,12,13,14],[1,4,6,7,8,11,13],[1,4,6,7,9,10,12],[1,4,6,9,11,13,14],[1,5,7,8,9,10,14],[1,5,7,10,11,12,14],[1,5,8,9,11,12,13],[2,3,7,9,11,13,14],[2,4,6,10,11,12,14],[2,4,7,8,9,11,12],[2,4,8,9,10,13,14],[2,5,6,7,8,11,14],[2,5,6,7,9,12,13],[2,5,6,8,10,12,13],[3,4,5,6,9,12,14],[3,4,5,7,10,11,13],[3,4,5,8,11,12,14],[3,4,7,8,10,12,13],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[77]:=Group([(1,5)(2,4)(8,9)(10,14)(11,12)]); # Design 78: autom. group order 2, simple, residual B[78]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,11,12],[1,2,4,5,10,13,14],[1,3,6,8,12,13,14],[1,4,6,7,8,11,13],[1,4,6,7,9,10,12],[1,4,6,9,11,13,14],[1,5,7,8,9,11,12],[1,5,7,10,11,12,14],[1,5,8,9,10,13,14],[2,3,7,9,11,13,14],[2,4,6,10,11,12,14],[2,4,7,8,9,10,14],[2,4,8,9,11,12,13],[2,5,6,7,8,11,14],[2,5,6,7,9,12,13],[2,5,6,8,10,12,13],[3,4,5,6,9,12,14],[3,4,5,7,10,11,13],[3,4,5,8,11,12,14],[3,4,7,8,10,12,13],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[78]:=Group([(1,5)(2,4)(8,9)(10,14)(11,12)]); # Design 79: autom. group order 2, simple, residual B[79]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,11,12],[1,2,4,5,10,13,14],[1,3,6,8,12,13,14],[1,4,6,7,8,11,13],[1,4,6,7,9,11,14],[1,4,6,9,10,12,13],[1,5,7,8,9,10,14],[1,5,7,10,11,12,14],[1,5,8,9,11,12,13],[2,3,7,9,11,13,14],[2,4,6,10,11,12,14],[2,4,7,8,9,11,12],[2,4,8,9,10,13,14],[2,5,6,7,8,10,12],[2,5,6,7,9,12,13],[2,5,6,8,11,13,14],[3,4,5,6,9,12,14],[3,4,5,7,10,11,13],[3,4,5,8,11,12,14],[3,4,7,8,10,12,13],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[79]:=Group([(1,5)(2,4)(8,9)(10,14)(11,12)]); # Design 80: autom. group order 2, simple, residual B[80]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,11,12],[1,2,4,5,10,13,14],[1,3,6,8,12,13,14],[1,4,6,7,8,11,13],[1,4,6,7,9,11,14],[1,4,6,9,10,12,13],[1,5,7,8,9,11,12],[1,5,7,10,11,12,14],[1,5,8,9,10,13,14],[2,3,7,9,11,13,14],[2,4,6,10,11,12,14],[2,4,7,8,9,10,14],[2,4,8,9,11,12,13],[2,5,6,7,8,10,12],[2,5,6,7,9,12,13],[2,5,6,8,11,13,14],[3,4,5,6,9,12,14],[3,4,5,7,10,11,13],[3,4,5,8,11,12,14],[3,4,7,8,10,12,13],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[80]:=Group([(1,5)(2,4)(8,9)(10,14)(11,12)]); # Design 81: autom. group order 2, simple, residual B[81]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,12,13],[1,2,4,5,11,12,14],[1,3,6,8,11,13,14],[1,4,6,7,8,10,12],[1,4,6,7,9,10,14],[1,4,6,9,11,13,14],[1,5,7,8,9,10,13],[1,5,7,10,11,12,13],[1,5,8,9,11,12,14],[2,3,7,9,10,11,14],[2,4,6,10,11,12,13],[2,4,7,8,9,11,12],[2,4,8,9,10,13,14],[2,5,6,7,8,13,14],[2,5,6,7,9,11,13],[2,5,6,8,10,12,14],[3,4,5,6,9,12,13],[3,4,5,7,10,11,14],[3,4,5,8,10,11,13],[3,4,7,8,12,13,14],[3,5,6,9,10,12,14],[3,6,7,8,9,11,12]]; G[81]:=Group([(1,5)(2,4)(8,9)(10,13)(11,12)]); # Design 82: autom. group order 2, simple, residual B[82]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,12,13],[1,2,4,5,11,12,14],[1,3,6,8,11,13,14],[1,4,6,7,8,10,12],[1,4,6,7,9,10,14],[1,4,6,9,11,13,14],[1,5,7,8,9,11,12],[1,5,7,10,11,12,13],[1,5,8,9,10,13,14],[2,3,7,9,10,11,14],[2,4,6,10,11,12,13],[2,4,7,8,9,10,13],[2,4,8,9,11,12,14],[2,5,6,7,8,13,14],[2,5,6,7,9,11,13],[2,5,6,8,10,12,14],[3,4,5,6,9,12,13],[3,4,5,7,10,11,14],[3,4,5,8,10,11,13],[3,4,7,8,12,13,14],[3,5,6,9,10,12,14],[3,6,7,8,9,11,12]]; G[82]:=Group([(1,5)(2,4)(8,9)(10,13)(11,12)]); # Design 83: autom. group order 2, simple B[83]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,11,13,14],[1,4,6,7,9,11,12],[1,4,6,8,9,10,13],[1,4,7,8,10,11,14],[1,5,6,7,9,13,14],[1,5,7,8,10,12,14],[1,5,9,10,11,12,13],[2,3,7,9,10,13,14],[2,4,6,8,9,12,14],[2,4,6,10,11,12,13],[2,4,7,8,11,13,14],[2,5,6,7,8,10,12],[2,5,6,9,10,11,14],[2,5,7,8,9,11,13],[3,4,5,6,10,13,14],[3,4,5,7,11,12,13],[3,4,5,8,9,10,11],[3,4,7,9,10,12,14],[3,5,6,8,11,12,14],[3,6,7,8,9,12,13]]; G[83]:=Group([(1,4)(2,5)(6,9)(7,8)(10,11)(12,13)]); # Design 84: autom. group order 2, simple B[84]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,11,13,14],[1,4,6,7,9,11,13],[1,4,6,8,9,10,12],[1,4,7,8,10,11,14],[1,5,6,7,9,12,14],[1,5,7,8,10,13,14],[1,5,9,10,11,12,13],[2,3,7,9,10,13,14],[2,4,6,8,9,13,14],[2,4,6,10,11,12,13],[2,4,7,8,11,12,14],[2,5,6,7,8,10,12],[2,5,6,9,10,11,14],[2,5,7,8,9,11,13],[3,4,5,6,10,13,14],[3,4,5,7,11,12,13],[3,4,5,8,9,10,11],[3,4,7,9,10,12,14],[3,5,6,8,11,12,14],[3,6,7,8,9,12,13]]; G[84]:=Group([(1,4)(2,5)(6,9)(7,8)(10,11)(12,13)]); # Design 85: autom. group order 2, simple B[85]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,11,13,14],[1,4,6,7,8,10,12],[1,4,6,9,10,11,14],[1,4,7,8,9,11,13],[1,5,6,7,9,12,14],[1,5,7,8,10,13,14],[1,5,9,10,11,12,13],[2,3,7,9,10,13,14],[2,4,6,8,9,13,14],[2,4,6,10,11,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,11,13],[2,5,6,8,9,10,12],[2,5,7,8,10,11,14],[3,4,5,6,10,13,14],[3,4,5,7,11,12,13],[3,4,5,8,9,10,11],[3,4,7,9,10,12,14],[3,5,6,8,11,12,14],[3,6,7,8,9,12,13]]; G[85]:=Group([(1,4)(2,5)(6,9)(7,8)(10,11)(12,13)]); # Design 86: autom. group order 2, simple B[86]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,11,13,14],[1,4,6,7,8,10,12],[1,4,6,9,10,11,14],[1,4,7,8,9,11,13],[1,5,6,7,9,13,14],[1,5,7,8,10,12,14],[1,5,9,10,11,12,13],[2,3,7,9,10,13,14],[2,4,6,8,9,12,14],[2,4,6,10,11,12,13],[2,4,7,8,11,13,14],[2,5,6,7,9,11,12],[2,5,6,8,9,10,13],[2,5,7,8,10,11,14],[3,4,5,6,10,13,14],[3,4,5,7,11,12,13],[3,4,5,8,9,10,11],[3,4,7,9,10,12,14],[3,5,6,8,11,12,14],[3,6,7,8,9,12,13]]; G[86]:=Group([(1,4)(2,5)(6,9)(7,8)(10,11)(12,13)]); # Design 87: autom. group order 2, simple, residual B[87]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,9,12,14],[1,4,6,8,10,11,13],[1,4,7,9,10,12,13],[1,5,6,9,10,13,14],[1,5,7,8,9,11,13],[1,5,7,8,11,12,14],[2,3,7,9,11,13,14],[2,4,6,8,9,11,12],[2,4,6,9,11,13,14],[2,4,7,8,10,12,14],[2,5,6,7,8,13,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,12],[3,4,5,6,7,12,13],[3,4,5,8,9,10,14],[3,4,5,11,12,13,14],[3,4,7,8,10,11,13],[3,5,6,9,10,11,12],[3,6,7,8,9,10,14]]; G[87]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 88: autom. group order 2, simple, residual B[88]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,9,12,14],[1,4,6,8,10,11,13],[1,4,7,9,10,13,14],[1,5,6,9,10,12,13],[1,5,7,8,9,11,12],[1,5,7,8,11,13,14],[2,3,7,9,11,13,14],[2,4,6,8,9,11,13],[2,4,6,9,11,12,14],[2,4,7,8,10,12,13],[2,5,6,7,8,13,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,12],[3,4,5,6,7,12,13],[3,4,5,8,9,10,14],[3,4,5,11,12,13,14],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[88]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 89: autom. group order 2, simple, residual B[89]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,9,12,14],[1,4,6,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,13],[1,5,7,8,9,11,12],[1,5,7,8,11,13,14],[2,3,7,9,11,13,14],[2,4,6,8,9,11,13],[2,4,6,9,11,12,14],[2,4,7,8,10,12,13],[2,5,6,7,8,13,14],[2,5,6,8,10,11,12],[2,5,7,9,10,12,14],[3,4,5,6,7,12,13],[3,4,5,8,9,10,14],[3,4,5,11,12,13,14],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[89]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 90: autom. group order 2, simple, residual B[90]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,9,13,14],[1,4,6,8,10,12,13],[1,4,7,9,10,11,12],[1,5,6,9,10,13,14],[1,5,7,8,9,11,12],[1,5,7,8,11,13,14],[2,3,7,9,11,13,14],[2,4,6,8,9,11,13],[2,4,6,9,11,12,14],[2,4,7,8,10,12,14],[2,5,6,7,8,12,14],[2,5,6,8,10,11,13],[2,5,7,9,10,12,13],[3,4,5,6,7,12,13],[3,4,5,8,9,10,14],[3,4,5,11,12,13,14],[3,4,7,8,10,11,13],[3,5,6,9,10,11,12],[3,6,7,8,9,10,14]]; G[90]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 91: autom. group order 2, simple, residual B[91]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,9,12,14],[1,4,6,8,10,13,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,13],[1,5,7,8,9,11,13],[1,5,7,8,11,12,14],[2,3,7,9,11,13,14],[2,4,6,8,9,11,12],[2,4,6,9,11,13,14],[2,4,7,8,10,11,12],[2,5,6,7,8,13,14],[2,5,6,8,10,12,13],[2,5,7,9,10,12,14],[3,4,5,6,7,12,13],[3,4,5,8,9,10,14],[3,4,5,11,12,13,14],[3,4,7,8,10,11,13],[3,5,6,9,10,11,12],[3,6,7,8,9,10,14]]; G[91]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 92: autom. group order 2, simple, residual B[92]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,9,13,14],[1,4,6,8,10,12,13],[1,4,7,9,10,12,14],[1,5,6,9,10,11,13],[1,5,7,8,9,11,12],[1,5,7,8,11,13,14],[2,3,7,9,11,13,14],[2,4,6,8,9,11,13],[2,4,6,9,11,12,14],[2,4,7,8,10,11,12],[2,5,6,7,8,12,14],[2,5,6,8,10,13,14],[2,5,7,9,10,12,13],[3,4,5,6,7,12,13],[3,4,5,8,9,10,14],[3,4,5,11,12,13,14],[3,4,7,8,10,11,13],[3,5,6,9,10,11,12],[3,6,7,8,9,10,14]]; G[92]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 93: autom. group order 2, simple B[93]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,9,12,14],[1,4,6,8,10,11,13],[1,4,7,9,10,13,14],[1,5,6,9,11,12,13],[1,5,7,8,9,10,12],[1,5,7,8,11,13,14],[2,3,7,9,11,13,14],[2,4,6,8,9,10,13],[2,4,6,9,11,12,14],[2,4,7,8,11,12,13],[2,5,6,7,8,13,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,12],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,12,13,14],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[93]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 94: autom. group order 2, simple B[94]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,9,13,14],[1,4,6,8,10,11,13],[1,4,7,9,10,12,14],[1,5,6,9,11,12,14],[1,5,7,8,9,10,13],[1,5,7,8,11,12,13],[2,3,7,9,11,13,14],[2,4,6,8,9,10,12],[2,4,6,9,11,12,13],[2,4,7,8,11,13,14],[2,5,6,7,8,12,14],[2,5,6,8,10,13,14],[2,5,7,9,10,11,12],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,12,13,14],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[94]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 95: autom. group order 2, simple, residual B[95]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,9,12,14],[1,4,6,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,9,11,12,13],[1,5,7,8,9,10,12],[1,5,7,8,11,13,14],[2,3,7,9,11,13,14],[2,4,6,8,9,10,13],[2,4,6,9,11,12,14],[2,4,7,8,11,12,13],[2,5,6,7,8,13,14],[2,5,6,8,10,11,12],[2,5,7,9,10,12,14],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,11,12,13],[3,4,7,8,10,12,14],[3,5,6,9,10,13,14],[3,6,7,8,9,10,11]]; G[95]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 96: autom. group order 2, simple, residual B[96]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,9,13,14],[1,4,6,8,10,13,14],[1,4,7,9,10,11,12],[1,5,6,9,11,12,14],[1,5,7,8,9,10,13],[1,5,7,8,11,12,13],[2,3,7,9,11,13,14],[2,4,6,8,9,10,12],[2,4,6,9,11,12,13],[2,4,7,8,11,13,14],[2,5,6,7,8,12,14],[2,5,6,8,10,11,13],[2,5,7,9,10,12,14],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,11,12,13],[3,4,7,8,10,12,14],[3,5,6,9,10,13,14],[3,6,7,8,9,10,11]]; G[96]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 97: autom. group order 2, simple B[97]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,9,12,14],[1,4,6,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,9,11,12,13],[1,5,7,8,9,10,12],[1,5,7,8,11,13,14],[2,3,7,9,11,13,14],[2,4,6,8,9,10,13],[2,4,6,9,11,12,14],[2,4,7,8,11,12,13],[2,5,6,7,8,13,14],[2,5,6,8,10,11,12],[2,5,7,9,10,12,14],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,12,13,14],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[97]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 98: autom. group order 2, simple B[98]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,9,13,14],[1,4,6,8,10,13,14],[1,4,7,9,10,11,12],[1,5,6,9,11,12,14],[1,5,7,8,9,10,13],[1,5,7,8,11,12,13],[2,3,7,9,11,13,14],[2,4,6,8,9,10,12],[2,4,6,9,11,12,13],[2,4,7,8,11,13,14],[2,5,6,7,8,12,14],[2,5,6,8,10,11,13],[2,5,7,9,10,12,14],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,12,13,14],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[98]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 99: autom. group order 2, simple, residual B[99]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,9,13,14],[1,4,6,8,10,11,13],[1,4,7,9,10,12,14],[1,5,6,9,11,12,14],[1,5,7,8,9,11,13],[1,5,7,8,10,12,13],[2,3,7,9,11,13,14],[2,4,6,8,9,11,12],[2,4,6,9,10,12,13],[2,4,7,8,11,13,14],[2,5,6,7,8,12,14],[2,5,6,8,10,13,14],[2,5,7,9,10,11,12],[3,4,5,6,7,12,13],[3,4,5,8,9,10,14],[3,4,5,11,12,13,14],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[99]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 100: autom. group order 2, simple, residual B[100]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,9,13,14],[1,4,6,8,10,13,14],[1,4,7,9,10,11,12],[1,5,6,9,11,12,14],[1,5,7,8,9,11,13],[1,5,7,8,10,12,13],[2,3,7,9,11,13,14],[2,4,6,8,9,11,12],[2,4,6,9,10,12,13],[2,4,7,8,11,13,14],[2,5,6,7,8,12,14],[2,5,6,8,10,11,13],[2,5,7,9,10,12,14],[3,4,5,6,7,12,13],[3,4,5,8,9,10,14],[3,4,5,11,12,13,14],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[100]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 101: autom. group order 2, simple, residual B[101]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,9,12,14],[1,4,6,8,10,13,14],[1,4,7,9,10,12,13],[1,5,6,9,11,13,14],[1,5,7,8,9,11,13],[1,5,7,8,10,11,12],[2,3,7,9,11,13,14],[2,4,6,8,9,11,12],[2,4,6,9,10,11,13],[2,4,7,8,11,12,14],[2,5,6,7,8,13,14],[2,5,6,8,10,12,13],[2,5,7,9,10,12,14],[3,4,5,6,7,12,13],[3,4,5,8,9,10,14],[3,4,5,11,12,13,14],[3,4,7,8,10,11,13],[3,5,6,9,10,11,12],[3,6,7,8,9,10,14]]; G[101]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 102: autom. group order 2, simple, residual B[102]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,9,13,14],[1,4,6,8,10,12,13],[1,4,7,9,10,12,14],[1,5,6,9,11,13,14],[1,5,7,8,9,11,12],[1,5,7,8,10,11,13],[2,3,7,9,11,13,14],[2,4,6,8,9,11,13],[2,4,6,9,10,11,12],[2,4,7,8,11,12,14],[2,5,6,7,8,12,14],[2,5,6,8,10,13,14],[2,5,7,9,10,12,13],[3,4,5,6,7,12,13],[3,4,5,8,9,10,14],[3,4,5,11,12,13,14],[3,4,7,8,10,11,13],[3,5,6,9,10,11,12],[3,6,7,8,9,10,14]]; G[102]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 103: autom. group order 2, simple, residual B[103]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,9,12,14],[1,4,6,8,10,11,13],[1,4,7,9,11,12,13],[1,5,6,9,10,13,14],[1,5,7,8,9,10,13],[1,5,7,8,11,12,14],[2,3,7,9,11,13,14],[2,4,6,8,9,10,12],[2,4,6,9,11,13,14],[2,4,7,8,10,12,14],[2,5,6,7,8,13,14],[2,5,6,8,11,12,13],[2,5,7,9,10,11,12],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,11,12,13],[3,4,7,8,10,13,14],[3,5,6,9,10,12,14],[3,6,7,8,9,10,11]]; G[103]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 104: autom. group order 2, simple, residual B[104]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,9,13,14],[1,4,6,8,10,11,13],[1,4,7,9,11,12,14],[1,5,6,9,10,12,14],[1,5,7,8,9,10,13],[1,5,7,8,11,12,13],[2,3,7,9,11,13,14],[2,4,6,8,9,10,12],[2,4,6,9,11,12,13],[2,4,7,8,10,13,14],[2,5,6,7,8,12,14],[2,5,6,8,11,13,14],[2,5,7,9,10,11,12],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,11,12,13],[3,4,7,8,10,12,14],[3,5,6,9,10,13,14],[3,6,7,8,9,10,11]]; G[104]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 105: autom. group order 2, simple B[105]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,9,13,14],[1,4,6,8,10,11,13],[1,4,7,9,11,12,14],[1,5,6,9,10,12,14],[1,5,7,8,9,10,13],[1,5,7,8,11,12,13],[2,3,7,9,11,13,14],[2,4,6,8,9,10,12],[2,4,6,9,11,12,13],[2,4,7,8,10,13,14],[2,5,6,7,8,12,14],[2,5,6,8,11,13,14],[2,5,7,9,10,11,12],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,12,13,14],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[105]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 106: autom. group order 2, simple B[106]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,9,12,14],[1,4,6,8,10,13,14],[1,4,7,9,11,12,13],[1,5,6,9,10,11,13],[1,5,7,8,9,10,13],[1,5,7,8,11,12,14],[2,3,7,9,11,13,14],[2,4,6,8,9,10,12],[2,4,6,9,11,13,14],[2,4,7,8,10,11,12],[2,5,6,7,8,13,14],[2,5,6,8,11,12,13],[2,5,7,9,10,12,14],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,12,13,14],[3,4,7,8,10,11,13],[3,5,6,9,10,11,12],[3,6,7,8,9,10,14]]; G[106]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 107: autom. group order 2, simple B[107]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,9,13,14],[1,4,6,8,10,13,14],[1,4,7,9,11,12,14],[1,5,6,9,10,11,12],[1,5,7,8,9,10,13],[1,5,7,8,11,12,13],[2,3,7,9,11,13,14],[2,4,6,8,9,10,12],[2,4,6,9,11,12,13],[2,4,7,8,10,11,13],[2,5,6,7,8,12,14],[2,5,6,8,11,13,14],[2,5,7,9,10,12,14],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,12,13,14],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[107]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 108: autom. group order 2, simple, residual B[108]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,9,12,14],[1,4,6,8,10,11,13],[1,4,7,9,11,13,14],[1,5,6,9,10,12,13],[1,5,7,8,9,11,12],[1,5,7,8,10,13,14],[2,3,7,9,11,13,14],[2,4,6,8,9,11,13],[2,4,6,9,10,12,14],[2,4,7,8,10,12,13],[2,5,6,7,8,13,14],[2,5,6,8,11,12,14],[2,5,7,9,10,11,12],[3,4,5,6,7,12,13],[3,4,5,8,9,10,14],[3,4,5,11,12,13,14],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[108]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 109: autom. group order 2, simple, residual B[109]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,9,13,14],[1,4,6,8,10,11,13],[1,4,7,9,11,12,14],[1,5,6,9,10,12,14],[1,5,7,8,9,11,13],[1,5,7,8,10,12,13],[2,3,7,9,11,13,14],[2,4,6,8,9,11,12],[2,4,6,9,10,12,13],[2,4,7,8,10,13,14],[2,5,6,7,8,12,14],[2,5,6,8,11,13,14],[2,5,7,9,10,11,12],[3,4,5,6,7,12,13],[3,4,5,8,9,10,14],[3,4,5,11,12,13,14],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[109]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 110: autom. group order 2, simple, residual B[110]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,9,13,14],[1,4,6,8,10,12,13],[1,4,7,9,11,12,14],[1,5,6,9,10,11,13],[1,5,7,8,9,11,12],[1,5,7,8,10,13,14],[2,3,7,9,11,13,14],[2,4,6,8,9,11,13],[2,4,6,9,10,12,14],[2,4,7,8,10,11,12],[2,5,6,7,8,12,14],[2,5,6,8,11,13,14],[2,5,7,9,10,12,13],[3,4,5,6,7,12,13],[3,4,5,8,9,10,14],[3,4,5,11,12,13,14],[3,4,7,8,10,11,13],[3,5,6,9,10,11,12],[3,6,7,8,9,10,14]]; G[110]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 111: autom. group order 2, simple, residual B[111]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,9,13,14],[1,4,6,8,10,13,14],[1,4,7,9,11,12,14],[1,5,6,9,10,11,12],[1,5,7,8,9,11,13],[1,5,7,8,10,12,13],[2,3,7,9,11,13,14],[2,4,6,8,9,11,12],[2,4,6,9,10,12,13],[2,4,7,8,10,11,13],[2,5,6,7,8,12,14],[2,5,6,8,11,13,14],[2,5,7,9,10,12,14],[3,4,5,6,7,12,13],[3,4,5,8,9,10,14],[3,4,5,11,12,13,14],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[111]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 112: autom. group order 2, simple, residual B[112]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,9,12,14],[1,4,6,8,10,13,14],[1,4,7,9,11,13,14],[1,5,6,9,10,12,13],[1,5,7,8,9,11,12],[1,5,7,8,10,11,13],[2,3,7,9,11,13,14],[2,4,6,8,9,11,13],[2,4,6,9,10,11,12],[2,4,7,8,10,12,13],[2,5,6,7,8,13,14],[2,5,6,8,11,12,14],[2,5,7,9,10,12,14],[3,4,5,6,7,12,13],[3,4,5,8,9,10,14],[3,4,5,11,12,13,14],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[112]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 113: autom. group order 2, simple, residual B[113]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,9,13,14],[1,4,6,8,10,12,13],[1,4,7,9,11,12,14],[1,5,6,9,10,13,14],[1,5,7,8,9,11,12],[1,5,7,8,10,11,13],[2,3,7,9,11,13,14],[2,4,6,8,9,11,13],[2,4,6,9,10,11,12],[2,4,7,8,10,12,14],[2,5,6,7,8,12,14],[2,5,6,8,11,13,14],[2,5,7,9,10,12,13],[3,4,5,6,7,12,13],[3,4,5,8,9,10,14],[3,4,5,11,12,13,14],[3,4,7,8,10,11,13],[3,5,6,9,10,11,12],[3,6,7,8,9,10,14]]; G[113]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 114: autom. group order 2, simple B[114]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,9,12,14],[1,4,6,8,10,11,13],[1,4,7,9,11,13,14],[1,5,6,9,11,12,13],[1,5,7,8,9,10,12],[1,5,7,8,10,13,14],[2,3,7,9,11,13,14],[2,4,6,8,9,10,13],[2,4,6,9,10,12,14],[2,4,7,8,11,12,13],[2,5,6,7,8,13,14],[2,5,6,8,11,12,14],[2,5,7,9,10,11,12],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,12,13,14],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[114]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 115: autom. group order 2, simple B[115]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,9,12,14],[1,4,6,8,10,13,14],[1,4,7,9,11,13,14],[1,5,6,9,11,12,13],[1,5,7,8,9,10,12],[1,5,7,8,10,11,13],[2,3,7,9,11,13,14],[2,4,6,8,9,10,13],[2,4,6,9,10,11,12],[2,4,7,8,11,12,13],[2,5,6,7,8,13,14],[2,5,6,8,11,12,14],[2,5,7,9,10,12,14],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,12,13,14],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[115]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 116: autom. group order 2, simple, residual B[116]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,9,13,14],[1,4,6,8,11,12,13],[1,4,7,9,10,11,12],[1,5,6,9,10,13,14],[1,5,7,8,9,10,12],[1,5,7,8,11,13,14],[2,3,7,9,11,13,14],[2,4,6,8,9,10,13],[2,4,6,9,11,12,14],[2,4,7,8,10,12,14],[2,5,6,7,8,12,14],[2,5,6,8,10,11,13],[2,5,7,9,11,12,13],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,11,12,13],[3,4,7,8,10,13,14],[3,5,6,9,10,12,14],[3,6,7,8,9,10,11]]; G[116]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 117: autom. group order 2, simple, residual B[117]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,9,13,14],[1,4,6,8,11,13,14],[1,4,7,9,10,11,12],[1,5,6,9,10,12,14],[1,5,7,8,9,10,13],[1,5,7,8,11,12,13],[2,3,7,9,11,13,14],[2,4,6,8,9,10,12],[2,4,6,9,11,12,13],[2,4,7,8,10,13,14],[2,5,6,7,8,12,14],[2,5,6,8,10,11,13],[2,5,7,9,11,12,14],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,11,12,13],[3,4,7,8,10,12,14],[3,5,6,9,10,13,14],[3,6,7,8,9,10,11]]; G[117]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 118: autom. group order 2, simple B[118]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,9,13,14],[1,4,6,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,9,10,11,13],[1,5,7,8,9,10,12],[1,5,7,8,11,13,14],[2,3,7,9,11,13,14],[2,4,6,8,9,10,13],[2,4,6,9,11,12,14],[2,4,7,8,10,11,12],[2,5,6,7,8,12,14],[2,5,6,8,10,13,14],[2,5,7,9,11,12,13],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,12,13,14],[3,4,7,8,10,11,13],[3,5,6,9,10,11,12],[3,6,7,8,9,10,14]]; G[118]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 119: autom. group order 2, simple B[119]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,9,13,14],[1,4,6,8,11,13,14],[1,4,7,9,10,12,14],[1,5,6,9,10,11,12],[1,5,7,8,9,10,13],[1,5,7,8,11,12,13],[2,3,7,9,11,13,14],[2,4,6,8,9,10,12],[2,4,6,9,11,12,13],[2,4,7,8,10,11,13],[2,5,6,7,8,12,14],[2,5,6,8,10,13,14],[2,5,7,9,11,12,14],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,12,13,14],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[119]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 120: autom. group order 2, simple, residual B[120]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,9,13,14],[1,4,6,8,11,13,14],[1,4,7,9,10,12,14],[1,5,6,9,10,11,12],[1,5,7,8,9,11,13],[1,5,7,8,10,12,13],[2,3,7,9,11,13,14],[2,4,6,8,9,11,12],[2,4,6,9,10,12,13],[2,4,7,8,10,11,13],[2,5,6,7,8,12,14],[2,5,6,8,10,13,14],[2,5,7,9,11,12,14],[3,4,5,6,7,12,13],[3,4,5,8,9,10,14],[3,4,5,11,12,13,14],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[120]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 121: autom. group order 2, simple, residual B[121]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,9,12,14],[1,4,6,8,11,13,14],[1,4,7,9,10,13,14],[1,5,6,9,10,12,13],[1,5,7,8,9,11,12],[1,5,7,8,10,11,13],[2,3,7,9,11,13,14],[2,4,6,8,9,11,13],[2,4,6,9,10,11,12],[2,4,7,8,10,12,13],[2,5,6,7,8,13,14],[2,5,6,8,10,12,14],[2,5,7,9,11,12,14],[3,4,5,6,7,12,13],[3,4,5,8,9,10,14],[3,4,5,11,12,13,14],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[121]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 122: autom. group order 2, simple B[122]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,9,12,14],[1,4,6,8,11,13,14],[1,4,7,9,10,13,14],[1,5,6,9,11,12,13],[1,5,7,8,9,10,12],[1,5,7,8,10,11,13],[2,3,7,9,11,13,14],[2,4,6,8,9,10,13],[2,4,6,9,10,11,12],[2,4,7,8,11,12,13],[2,5,6,7,8,13,14],[2,5,6,8,10,12,14],[2,5,7,9,11,12,14],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,12,13,14],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[122]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 123: autom. group order 2, simple, residual B[123]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,9,10,12],[1,4,6,8,11,12,13],[1,4,7,9,10,11,13],[1,5,6,9,11,12,14],[1,5,7,8,9,11,14],[1,5,7,8,10,13,14],[2,3,7,9,11,13,14],[2,4,6,8,9,10,14],[2,4,6,9,11,13,14],[2,4,7,8,10,12,14],[2,5,6,7,8,11,12],[2,5,6,8,10,11,13],[2,5,7,9,10,12,13],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,13],[3,4,7,8,11,12,14],[3,5,6,9,10,12,14],[3,6,7,8,9,12,13]]; G[123]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 124: autom. group order 2, simple B[124]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,9,10,12],[1,4,6,8,11,12,13],[1,4,7,9,10,11,13],[1,5,6,9,11,12,14],[1,5,7,8,9,11,14],[1,5,7,8,10,13,14],[2,3,7,9,11,13,14],[2,4,6,8,9,10,14],[2,4,6,9,11,13,14],[2,4,7,8,10,12,14],[2,5,6,7,8,11,12],[2,5,6,8,10,11,13],[2,5,7,9,10,12,13],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,14],[3,4,7,8,11,12,13],[3,5,6,9,10,12,13],[3,6,7,8,9,12,14]]; G[124]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 125: autom. group order 2, simple, residual B[125]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,9,10,12],[1,4,6,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,9,11,12,13],[1,5,7,8,9,11,14],[1,5,7,8,10,13,14],[2,3,7,9,11,13,14],[2,4,6,8,9,10,14],[2,4,6,9,11,13,14],[2,4,7,8,10,12,13],[2,5,6,7,8,11,12],[2,5,6,8,10,11,13],[2,5,7,9,10,12,14],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,13],[3,4,7,8,11,12,14],[3,5,6,9,10,12,14],[3,6,7,8,9,12,13]]; G[125]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 126: autom. group order 2, simple B[126]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,9,10,12],[1,4,6,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,9,11,12,13],[1,5,7,8,9,11,14],[1,5,7,8,10,13,14],[2,3,7,9,11,13,14],[2,4,6,8,9,10,14],[2,4,6,9,11,13,14],[2,4,7,8,10,12,13],[2,5,6,7,8,11,12],[2,5,6,8,10,11,13],[2,5,7,9,10,12,14],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,14],[3,4,7,8,11,12,13],[3,5,6,9,10,12,13],[3,6,7,8,9,12,14]]; G[126]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 127: autom. group order 2, simple, residual B[127]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,9,10,12],[1,4,6,8,11,12,13],[1,4,7,9,10,11,13],[1,5,6,9,11,13,14],[1,5,7,8,9,11,14],[1,5,7,8,10,12,14],[2,3,7,9,11,13,14],[2,4,6,8,9,10,14],[2,4,6,9,11,12,14],[2,4,7,8,10,13,14],[2,5,6,7,8,11,12],[2,5,6,8,10,11,13],[2,5,7,9,10,12,13],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,13],[3,4,7,8,11,12,14],[3,5,6,9,10,12,14],[3,6,7,8,9,12,13]]; G[127]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 128: autom. group order 2, simple B[128]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,9,10,12],[1,4,6,8,11,12,13],[1,4,7,9,10,11,13],[1,5,6,9,11,13,14],[1,5,7,8,9,11,14],[1,5,7,8,10,12,14],[2,3,7,9,11,13,14],[2,4,6,8,9,10,14],[2,4,6,9,11,12,14],[2,4,7,8,10,13,14],[2,5,6,7,8,11,12],[2,5,6,8,10,11,13],[2,5,7,9,10,12,13],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,14],[3,4,7,8,11,12,13],[3,5,6,9,10,12,13],[3,6,7,8,9,12,14]]; G[128]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 129: autom. group order 2, simple, residual B[129]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,9,10,12],[1,4,6,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,9,11,13,14],[1,5,7,8,9,11,14],[1,5,7,8,10,12,13],[2,3,7,9,11,13,14],[2,4,6,8,9,10,14],[2,4,6,9,11,12,13],[2,4,7,8,10,13,14],[2,5,6,7,8,11,12],[2,5,6,8,10,11,13],[2,5,7,9,10,12,14],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,13],[3,4,7,8,11,12,14],[3,5,6,9,10,12,14],[3,6,7,8,9,12,13]]; G[129]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 130: autom. group order 2, simple B[130]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,9,10,12],[1,4,6,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,9,11,13,14],[1,5,7,8,9,11,14],[1,5,7,8,10,12,13],[2,3,7,9,11,13,14],[2,4,6,8,9,10,14],[2,4,6,9,11,12,13],[2,4,7,8,10,13,14],[2,5,6,7,8,11,12],[2,5,6,8,10,11,13],[2,5,7,9,10,12,14],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,14],[3,4,7,8,11,12,13],[3,5,6,9,10,12,13],[3,6,7,8,9,12,14]]; G[130]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 131: autom. group order 2, simple, residual B[131]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,9,10,12],[1,4,6,8,11,13,14],[1,4,7,9,10,11,13],[1,5,6,9,11,12,13],[1,5,7,8,9,11,14],[1,5,7,8,10,12,14],[2,3,7,9,11,13,14],[2,4,6,8,9,10,14],[2,4,6,9,11,12,14],[2,4,7,8,10,12,13],[2,5,6,7,8,11,12],[2,5,6,8,10,11,13],[2,5,7,9,10,13,14],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,13],[3,4,7,8,11,12,14],[3,5,6,9,10,12,14],[3,6,7,8,9,12,13]]; G[131]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 132: autom. group order 2, simple B[132]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,9,10,12],[1,4,6,8,11,13,14],[1,4,7,9,10,11,13],[1,5,6,9,11,12,13],[1,5,7,8,9,11,14],[1,5,7,8,10,12,14],[2,3,7,9,11,13,14],[2,4,6,8,9,10,14],[2,4,6,9,11,12,14],[2,4,7,8,10,12,13],[2,5,6,7,8,11,12],[2,5,6,8,10,11,13],[2,5,7,9,10,13,14],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,14],[3,4,7,8,11,12,13],[3,5,6,9,10,12,13],[3,6,7,8,9,12,14]]; G[132]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 133: autom. group order 2, simple, residual B[133]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,9,10,12],[1,4,6,8,11,13,14],[1,4,7,9,10,11,13],[1,5,6,9,11,12,14],[1,5,7,8,9,11,14],[1,5,7,8,10,12,13],[2,3,7,9,11,13,14],[2,4,6,8,9,10,14],[2,4,6,9,11,12,13],[2,4,7,8,10,12,14],[2,5,6,7,8,11,12],[2,5,6,8,10,11,13],[2,5,7,9,10,13,14],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,13],[3,4,7,8,11,12,14],[3,5,6,9,10,12,14],[3,6,7,8,9,12,13]]; G[133]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 134: autom. group order 2, simple B[134]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,9,10,12],[1,4,6,8,11,13,14],[1,4,7,9,10,11,13],[1,5,6,9,11,12,14],[1,5,7,8,9,11,14],[1,5,7,8,10,12,13],[2,3,7,9,11,13,14],[2,4,6,8,9,10,14],[2,4,6,9,11,12,13],[2,4,7,8,10,12,14],[2,5,6,7,8,11,12],[2,5,6,8,10,11,13],[2,5,7,9,10,13,14],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,14],[3,4,7,8,11,12,13],[3,5,6,9,10,12,13],[3,6,7,8,9,12,14]]; G[134]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 135: autom. group order 2, simple, residual B[135]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,9,10,13],[1,4,6,8,11,12,13],[1,4,7,9,10,11,12],[1,5,6,9,11,12,14],[1,5,7,8,9,11,14],[1,5,7,8,10,13,14],[2,3,7,9,11,13,14],[2,4,6,8,9,10,14],[2,4,6,9,11,13,14],[2,4,7,8,10,12,14],[2,5,6,7,8,11,13],[2,5,6,8,10,11,12],[2,5,7,9,10,12,13],[3,4,5,6,7,12,14],[3,4,5,8,9,10,11],[3,4,5,10,11,13,14],[3,4,7,8,11,12,13],[3,5,6,9,10,12,13],[3,6,7,8,9,12,14]]; G[135]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 136: autom. group order 2, simple, residual B[136]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,9,10,13],[1,4,6,8,11,12,14],[1,4,7,9,10,11,12],[1,5,6,9,11,12,13],[1,5,7,8,9,11,14],[1,5,7,8,10,13,14],[2,3,7,9,11,13,14],[2,4,6,8,9,10,14],[2,4,6,9,11,13,14],[2,4,7,8,10,12,13],[2,5,6,7,8,11,13],[2,5,6,8,10,11,12],[2,5,7,9,10,12,14],[3,4,5,6,7,12,14],[3,4,5,8,9,10,11],[3,4,5,10,11,13,14],[3,4,7,8,11,12,13],[3,5,6,9,10,12,13],[3,6,7,8,9,12,14]]; G[136]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 137: autom. group order 2, simple, residual B[137]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,9,10,13],[1,4,6,8,11,12,13],[1,4,7,9,10,11,12],[1,5,6,9,11,13,14],[1,5,7,8,9,11,14],[1,5,7,8,10,12,14],[2,3,7,9,11,13,14],[2,4,6,8,9,10,14],[2,4,6,9,11,12,14],[2,4,7,8,10,13,14],[2,5,6,7,8,11,13],[2,5,6,8,10,11,12],[2,5,7,9,10,12,13],[3,4,5,6,7,12,14],[3,4,5,8,9,10,11],[3,4,5,10,11,13,14],[3,4,7,8,11,12,13],[3,5,6,9,10,12,13],[3,6,7,8,9,12,14]]; G[137]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 138: autom. group order 2, simple, residual B[138]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,9,10,13],[1,4,6,8,11,12,14],[1,4,7,9,10,11,12],[1,5,6,9,11,13,14],[1,5,7,8,9,11,14],[1,5,7,8,10,12,13],[2,3,7,9,11,13,14],[2,4,6,8,9,10,14],[2,4,6,9,11,12,13],[2,4,7,8,10,13,14],[2,5,6,7,8,11,13],[2,5,6,8,10,11,12],[2,5,7,9,10,12,14],[3,4,5,6,7,12,14],[3,4,5,8,9,10,11],[3,4,5,10,11,13,14],[3,4,7,8,11,12,13],[3,5,6,9,10,12,13],[3,6,7,8,9,12,14]]; G[138]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 139: autom. group order 2, simple, residual B[139]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,9,10,13],[1,4,6,8,11,13,14],[1,4,7,9,10,11,12],[1,5,6,9,11,12,13],[1,5,7,8,9,11,14],[1,5,7,8,10,12,14],[2,3,7,9,11,13,14],[2,4,6,8,9,10,14],[2,4,6,9,11,12,14],[2,4,7,8,10,12,13],[2,5,6,7,8,11,13],[2,5,6,8,10,11,12],[2,5,7,9,10,13,14],[3,4,5,6,7,12,14],[3,4,5,8,9,10,11],[3,4,5,10,11,13,14],[3,4,7,8,11,12,13],[3,5,6,9,10,12,13],[3,6,7,8,9,12,14]]; G[139]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 140: autom. group order 2, simple, residual B[140]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,9,10,13],[1,4,6,8,11,13,14],[1,4,7,9,10,11,12],[1,5,6,9,11,12,14],[1,5,7,8,9,11,14],[1,5,7,8,10,12,13],[2,3,7,9,11,13,14],[2,4,6,8,9,10,14],[2,4,6,9,11,12,13],[2,4,7,8,10,12,14],[2,5,6,7,8,11,13],[2,5,6,8,10,11,12],[2,5,7,9,10,13,14],[3,4,5,6,7,12,14],[3,4,5,8,9,10,11],[3,4,5,10,11,13,14],[3,4,7,8,11,12,13],[3,5,6,9,10,12,13],[3,6,7,8,9,12,14]]; G[140]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 141: autom. group order 2, simple, residual B[141]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,9,10,12],[1,4,6,8,11,12,13],[1,4,7,9,11,12,14],[1,5,6,9,10,11,13],[1,5,7,8,9,10,14],[1,5,7,8,11,13,14],[2,3,7,9,11,13,14],[2,4,6,8,9,11,14],[2,4,6,9,10,13,14],[2,4,7,8,10,11,13],[2,5,6,7,8,11,12],[2,5,6,8,10,12,14],[2,5,7,9,10,12,13],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,13],[3,4,7,8,10,12,14],[3,5,6,9,11,12,14],[3,6,7,8,9,12,13]]; G[141]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 142: autom. group order 2, simple B[142]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,9,10,12],[1,4,6,8,11,12,13],[1,4,7,9,11,12,14],[1,5,6,9,10,11,13],[1,5,7,8,9,10,14],[1,5,7,8,11,13,14],[2,3,7,9,11,13,14],[2,4,6,8,9,11,14],[2,4,6,9,10,13,14],[2,4,7,8,10,11,13],[2,5,6,7,8,11,12],[2,5,6,8,10,12,14],[2,5,7,9,10,12,13],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,14],[3,4,7,8,10,12,13],[3,5,6,9,11,12,13],[3,6,7,8,9,12,14]]; G[142]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 143: autom. group order 2, simple, residual B[143]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,9,10,12],[1,4,6,8,11,12,14],[1,4,7,9,11,12,13],[1,5,6,9,10,11,13],[1,5,7,8,9,10,14],[1,5,7,8,11,13,14],[2,3,7,9,11,13,14],[2,4,6,8,9,11,14],[2,4,6,9,10,13,14],[2,4,7,8,10,11,13],[2,5,6,7,8,11,12],[2,5,6,8,10,12,13],[2,5,7,9,10,12,14],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,13],[3,4,7,8,10,12,14],[3,5,6,9,11,12,14],[3,6,7,8,9,12,13]]; G[143]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 144: autom. group order 2, simple B[144]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,9,10,12],[1,4,6,8,11,12,14],[1,4,7,9,11,12,13],[1,5,6,9,10,11,13],[1,5,7,8,9,10,14],[1,5,7,8,11,13,14],[2,3,7,9,11,13,14],[2,4,6,8,9,11,14],[2,4,6,9,10,13,14],[2,4,7,8,10,11,13],[2,5,6,7,8,11,12],[2,5,6,8,10,12,13],[2,5,7,9,10,12,14],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,14],[3,4,7,8,10,12,13],[3,5,6,9,11,12,13],[3,6,7,8,9,12,14]]; G[144]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 145: autom. group order 2, simple, residual B[145]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,9,10,12],[1,4,6,8,11,12,13],[1,4,7,9,11,13,14],[1,5,6,9,10,11,13],[1,5,7,8,9,10,14],[1,5,7,8,11,12,14],[2,3,7,9,11,13,14],[2,4,6,8,9,11,14],[2,4,6,9,10,12,14],[2,4,7,8,10,11,13],[2,5,6,7,8,11,12],[2,5,6,8,10,13,14],[2,5,7,9,10,12,13],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,13],[3,4,7,8,10,12,14],[3,5,6,9,11,12,14],[3,6,7,8,9,12,13]]; G[145]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 146: autom. group order 2, simple B[146]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,9,10,12],[1,4,6,8,11,12,13],[1,4,7,9,11,13,14],[1,5,6,9,10,11,13],[1,5,7,8,9,10,14],[1,5,7,8,11,12,14],[2,3,7,9,11,13,14],[2,4,6,8,9,11,14],[2,4,6,9,10,12,14],[2,4,7,8,10,11,13],[2,5,6,7,8,11,12],[2,5,6,8,10,13,14],[2,5,7,9,10,12,13],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,14],[3,4,7,8,10,12,13],[3,5,6,9,11,12,13],[3,6,7,8,9,12,14]]; G[146]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 147: autom. group order 2, simple, residual B[147]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,9,10,12],[1,4,6,8,11,12,14],[1,4,7,9,11,13,14],[1,5,6,9,10,11,13],[1,5,7,8,9,10,14],[1,5,7,8,11,12,13],[2,3,7,9,11,13,14],[2,4,6,8,9,11,14],[2,4,6,9,10,12,13],[2,4,7,8,10,11,13],[2,5,6,7,8,11,12],[2,5,6,8,10,13,14],[2,5,7,9,10,12,14],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,13],[3,4,7,8,10,12,14],[3,5,6,9,11,12,14],[3,6,7,8,9,12,13]]; G[147]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 148: autom. group order 2, simple B[148]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,9,10,12],[1,4,6,8,11,12,14],[1,4,7,9,11,13,14],[1,5,6,9,10,11,13],[1,5,7,8,9,10,14],[1,5,7,8,11,12,13],[2,3,7,9,11,13,14],[2,4,6,8,9,11,14],[2,4,6,9,10,12,13],[2,4,7,8,10,11,13],[2,5,6,7,8,11,12],[2,5,6,8,10,13,14],[2,5,7,9,10,12,14],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,14],[3,4,7,8,10,12,13],[3,5,6,9,11,12,13],[3,6,7,8,9,12,14]]; G[148]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 149: autom. group order 2, simple, residual B[149]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,9,10,12],[1,4,6,8,11,13,14],[1,4,7,9,11,12,13],[1,5,6,9,10,11,13],[1,5,7,8,9,10,14],[1,5,7,8,11,12,14],[2,3,7,9,11,13,14],[2,4,6,8,9,11,14],[2,4,6,9,10,12,14],[2,4,7,8,10,11,13],[2,5,6,7,8,11,12],[2,5,6,8,10,12,13],[2,5,7,9,10,13,14],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,13],[3,4,7,8,10,12,14],[3,5,6,9,11,12,14],[3,6,7,8,9,12,13]]; G[149]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 150: autom. group order 2, simple B[150]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,9,10,12],[1,4,6,8,11,13,14],[1,4,7,9,11,12,13],[1,5,6,9,10,11,13],[1,5,7,8,9,10,14],[1,5,7,8,11,12,14],[2,3,7,9,11,13,14],[2,4,6,8,9,11,14],[2,4,6,9,10,12,14],[2,4,7,8,10,11,13],[2,5,6,7,8,11,12],[2,5,6,8,10,12,13],[2,5,7,9,10,13,14],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,14],[3,4,7,8,10,12,13],[3,5,6,9,11,12,13],[3,6,7,8,9,12,14]]; G[150]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 151: autom. group order 2, simple, residual B[151]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,9,10,12],[1,4,6,8,11,13,14],[1,4,7,9,11,12,14],[1,5,6,9,10,11,13],[1,5,7,8,9,10,14],[1,5,7,8,11,12,13],[2,3,7,9,11,13,14],[2,4,6,8,9,11,14],[2,4,6,9,10,12,13],[2,4,7,8,10,11,13],[2,5,6,7,8,11,12],[2,5,6,8,10,12,14],[2,5,7,9,10,13,14],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,13],[3,4,7,8,10,12,14],[3,5,6,9,11,12,14],[3,6,7,8,9,12,13]]; G[151]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 152: autom. group order 2, simple B[152]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,9,10,12],[1,4,6,8,11,13,14],[1,4,7,9,11,12,14],[1,5,6,9,10,11,13],[1,5,7,8,9,10,14],[1,5,7,8,11,12,13],[2,3,7,9,11,13,14],[2,4,6,8,9,11,14],[2,4,6,9,10,12,13],[2,4,7,8,10,11,13],[2,5,6,7,8,11,12],[2,5,6,8,10,12,14],[2,5,7,9,10,13,14],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,14],[3,4,7,8,10,12,13],[3,5,6,9,11,12,13],[3,6,7,8,9,12,14]]; G[152]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 153: autom. group order 2, simple, residual B[153]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,9,10,13],[1,4,6,8,11,12,13],[1,4,7,9,11,12,14],[1,5,6,9,10,11,12],[1,5,7,8,9,10,14],[1,5,7,8,11,13,14],[2,3,7,9,11,13,14],[2,4,6,8,9,11,14],[2,4,6,9,10,13,14],[2,4,7,8,10,11,12],[2,5,6,7,8,11,13],[2,5,6,8,10,12,14],[2,5,7,9,10,12,13],[3,4,5,6,7,12,14],[3,4,5,8,9,10,11],[3,4,5,10,11,13,14],[3,4,7,8,10,12,13],[3,5,6,9,11,12,13],[3,6,7,8,9,12,14]]; G[153]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 154: autom. group order 2, simple, residual B[154]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,9,10,13],[1,4,6,8,11,12,14],[1,4,7,9,11,12,13],[1,5,6,9,10,11,12],[1,5,7,8,9,10,14],[1,5,7,8,11,13,14],[2,3,7,9,11,13,14],[2,4,6,8,9,11,14],[2,4,6,9,10,13,14],[2,4,7,8,10,11,12],[2,5,6,7,8,11,13],[2,5,6,8,10,12,13],[2,5,7,9,10,12,14],[3,4,5,6,7,12,14],[3,4,5,8,9,10,11],[3,4,5,10,11,13,14],[3,4,7,8,10,12,13],[3,5,6,9,11,12,13],[3,6,7,8,9,12,14]]; G[154]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 155: autom. group order 2, simple, residual B[155]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,9,10,13],[1,4,6,8,11,12,13],[1,4,7,9,11,13,14],[1,5,6,9,10,11,12],[1,5,7,8,9,10,14],[1,5,7,8,11,12,14],[2,3,7,9,11,13,14],[2,4,6,8,9,11,14],[2,4,6,9,10,12,14],[2,4,7,8,10,11,12],[2,5,6,7,8,11,13],[2,5,6,8,10,13,14],[2,5,7,9,10,12,13],[3,4,5,6,7,12,14],[3,4,5,8,9,10,11],[3,4,5,10,11,13,14],[3,4,7,8,10,12,13],[3,5,6,9,11,12,13],[3,6,7,8,9,12,14]]; G[155]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 156: autom. group order 2, simple, residual B[156]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,9,10,13],[1,4,6,8,11,12,14],[1,4,7,9,11,13,14],[1,5,6,9,10,11,12],[1,5,7,8,9,10,14],[1,5,7,8,11,12,13],[2,3,7,9,11,13,14],[2,4,6,8,9,11,14],[2,4,6,9,10,12,13],[2,4,7,8,10,11,12],[2,5,6,7,8,11,13],[2,5,6,8,10,13,14],[2,5,7,9,10,12,14],[3,4,5,6,7,12,14],[3,4,5,8,9,10,11],[3,4,5,10,11,13,14],[3,4,7,8,10,12,13],[3,5,6,9,11,12,13],[3,6,7,8,9,12,14]]; G[156]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 157: autom. group order 2, simple, residual B[157]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,9,10,13],[1,4,6,8,11,13,14],[1,4,7,9,11,12,13],[1,5,6,9,10,11,12],[1,5,7,8,9,10,14],[1,5,7,8,11,12,14],[2,3,7,9,11,13,14],[2,4,6,8,9,11,14],[2,4,6,9,10,12,14],[2,4,7,8,10,11,12],[2,5,6,7,8,11,13],[2,5,6,8,10,12,13],[2,5,7,9,10,13,14],[3,4,5,6,7,12,14],[3,4,5,8,9,10,11],[3,4,5,10,11,13,14],[3,4,7,8,10,12,13],[3,5,6,9,11,12,13],[3,6,7,8,9,12,14]]; G[157]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 158: autom. group order 2, simple, residual B[158]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,9,10,13],[1,4,6,8,11,13,14],[1,4,7,9,11,12,14],[1,5,6,9,10,11,12],[1,5,7,8,9,10,14],[1,5,7,8,11,12,13],[2,3,7,9,11,13,14],[2,4,6,8,9,11,14],[2,4,6,9,10,12,13],[2,4,7,8,10,11,12],[2,5,6,7,8,11,13],[2,5,6,8,10,12,14],[2,5,7,9,10,13,14],[3,4,5,6,7,12,14],[3,4,5,8,9,10,11],[3,4,5,10,11,13,14],[3,4,7,8,10,12,13],[3,5,6,9,11,12,13],[3,6,7,8,9,12,14]]; G[158]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 159: autom. group order 2, simple B[159]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,11,12],[1,2,3,9,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,12,13,14],[1,4,6,7,9,11,13],[1,4,6,8,11,13,14],[1,4,7,9,10,12,13],[1,5,6,10,11,12,14],[1,5,7,8,9,10,14],[1,5,7,8,9,11,12],[2,3,7,9,11,13,14],[2,4,6,8,9,10,14],[2,4,6,8,9,11,12],[2,4,7,10,11,12,14],[2,5,6,7,8,12,13],[2,5,6,9,10,12,13],[2,5,7,8,11,13,14],[3,4,5,6,7,12,14],[3,4,5,8,10,11,13],[3,4,5,9,11,12,14],[3,4,7,8,10,12,13],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[159]:=Group([(1,5)(2,4)(8,9)(10,14)(11,12)]); # Design 160: autom. group order 2, simple B[160]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,10,13,14],[1,3,6,8,11,13,14],[1,4,6,7,9,11,13],[1,4,6,8,12,13,14],[1,4,7,9,10,12,13],[1,5,6,10,11,12,14],[1,5,7,8,9,10,14],[1,5,7,8,9,11,12],[2,3,7,9,12,13,14],[2,4,6,8,9,10,14],[2,4,6,8,9,11,12],[2,4,7,10,11,12,14],[2,5,6,7,8,12,13],[2,5,6,9,10,11,13],[2,5,7,8,11,13,14],[3,4,5,6,7,12,14],[3,4,5,8,10,11,12],[3,4,5,9,11,13,14],[3,4,7,8,10,11,13],[3,5,6,9,10,12,13],[3,6,7,8,9,10,14]]; G[160]:=Group([(1,5)(2,4)(8,9)(10,14)(11,12)]); # Design 161: autom. group order 2, simple B[161]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,11,13,14],[1,3,6,8,12,13,14],[1,4,6,7,9,12,14],[1,4,6,8,10,11,14],[1,4,7,9,10,13,14],[1,5,6,10,11,12,13],[1,5,7,8,9,10,12],[1,5,7,8,9,11,13],[2,3,7,9,10,13,14],[2,4,6,8,9,10,12],[2,4,6,8,9,11,13],[2,4,7,10,11,12,13],[2,5,6,7,8,10,14],[2,5,6,9,12,13,14],[2,5,7,8,11,12,14],[3,4,5,6,7,12,13],[3,4,5,8,10,13,14],[3,4,5,9,10,11,12],[3,4,7,8,11,12,14],[3,5,6,9,10,11,14],[3,6,7,8,9,11,13]]; G[161]:=Group([(1,5)(2,4)(8,9)(10,12)(11,13)]); # Design 162: autom. group order 2, simple B[162]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,3,9,10,11,12],[1,2,4,5,10,13,14],[1,3,6,8,11,13,14],[1,4,6,7,9,12,13],[1,4,6,8,10,12,13],[1,4,7,9,11,13,14],[1,5,6,10,11,12,14],[1,5,7,8,9,10,14],[1,5,7,8,9,11,12],[2,3,7,9,12,13,14],[2,4,6,8,9,10,14],[2,4,6,8,9,11,12],[2,4,7,10,11,12,14],[2,5,6,7,8,11,13],[2,5,6,9,11,13,14],[2,5,7,8,10,12,13],[3,4,5,6,7,12,14],[3,4,5,8,11,12,14],[3,4,5,9,10,11,13],[3,4,7,8,10,11,13],[3,5,6,9,10,12,13],[3,6,7,8,9,10,14]]; G[162]:=Group([(1,5)(2,4)(8,9)(10,14)(11,12)]); # Design 163: autom. group order 2, simple B[163]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,11,12],[1,2,3,9,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,12,13,14],[1,4,6,7,9,11,13],[1,4,6,8,11,13,14],[1,4,7,9,10,12,13],[1,5,6,8,9,10,14],[1,5,7,8,9,11,12],[1,5,7,10,11,12,14],[2,3,7,9,11,13,14],[2,4,6,8,9,11,12],[2,4,6,10,11,12,14],[2,4,7,8,9,10,14],[2,5,6,7,8,12,13],[2,5,6,9,10,12,13],[2,5,7,8,11,13,14],[3,4,5,6,7,12,14],[3,4,5,8,10,11,13],[3,4,5,9,11,12,14],[3,4,7,8,10,12,13],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[163]:=Group([(1,5)(2,4)(8,9)(10,14)(11,12)]); # Design 164: autom. group order 2, simple B[164]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,10,13,14],[1,3,6,8,11,13,14],[1,4,6,7,9,11,13],[1,4,6,8,12,13,14],[1,4,7,9,10,12,13],[1,5,6,8,9,10,14],[1,5,7,8,9,11,12],[1,5,7,10,11,12,14],[2,3,7,9,12,13,14],[2,4,6,8,9,11,12],[2,4,6,10,11,12,14],[2,4,7,8,9,10,14],[2,5,6,7,8,12,13],[2,5,6,9,10,11,13],[2,5,7,8,11,13,14],[3,4,5,6,7,12,14],[3,4,5,8,10,11,12],[3,4,5,9,11,13,14],[3,4,7,8,10,11,13],[3,5,6,9,10,12,13],[3,6,7,8,9,10,14]]; G[164]:=Group([(1,5)(2,4)(8,9)(10,14)(11,12)]); # Design 165: autom. group order 2, simple B[165]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,11,12],[1,2,3,9,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,12,13,14],[1,4,6,7,9,11,13],[1,4,6,8,11,13,14],[1,4,7,9,10,12,13],[1,5,6,8,9,11,12],[1,5,7,8,9,10,14],[1,5,7,10,11,12,14],[2,3,7,9,11,13,14],[2,4,6,8,9,10,14],[2,4,6,10,11,12,14],[2,4,7,8,9,11,12],[2,5,6,7,8,12,13],[2,5,6,9,10,12,13],[2,5,7,8,11,13,14],[3,4,5,6,7,12,14],[3,4,5,8,10,11,13],[3,4,5,9,11,12,14],[3,4,7,8,10,12,13],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[165]:=Group([(1,5)(2,4)(8,9)(10,14)(11,12)]); # Design 166: autom. group order 2, simple B[166]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,10,13,14],[1,3,6,8,11,13,14],[1,4,6,7,9,11,13],[1,4,6,8,12,13,14],[1,4,7,9,10,12,13],[1,5,6,8,9,11,12],[1,5,7,8,9,10,14],[1,5,7,10,11,12,14],[2,3,7,9,12,13,14],[2,4,6,8,9,10,14],[2,4,6,10,11,12,14],[2,4,7,8,9,11,12],[2,5,6,7,8,12,13],[2,5,6,9,10,11,13],[2,5,7,8,11,13,14],[3,4,5,6,7,12,14],[3,4,5,8,10,11,12],[3,4,5,9,11,13,14],[3,4,7,8,10,11,13],[3,5,6,9,10,12,13],[3,6,7,8,9,10,14]]; G[166]:=Group([(1,5)(2,4)(8,9)(10,14)(11,12)]); # Design 167: autom. group order 2, simple B[167]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,11,13,14],[1,3,6,8,12,13,14],[1,4,6,7,9,12,14],[1,4,6,8,10,11,14],[1,4,7,9,10,13,14],[1,5,6,8,9,10,12],[1,5,7,8,9,11,13],[1,5,7,10,11,12,13],[2,3,7,9,10,13,14],[2,4,6,8,9,11,13],[2,4,6,10,11,12,13],[2,4,7,8,9,10,12],[2,5,6,7,8,10,14],[2,5,6,9,12,13,14],[2,5,7,8,11,12,14],[3,4,5,6,7,12,13],[3,4,5,8,10,13,14],[3,4,5,9,10,11,12],[3,4,7,8,11,12,14],[3,5,6,9,10,11,14],[3,6,7,8,9,11,13]]; G[167]:=Group([(1,5)(2,4)(8,9)(10,12)(11,13)]); # Design 168: autom. group order 2, simple B[168]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,11,13,14],[1,3,6,8,12,13,14],[1,4,6,7,9,12,14],[1,4,6,8,10,11,14],[1,4,7,9,10,13,14],[1,5,6,8,9,11,13],[1,5,7,8,9,10,12],[1,5,7,10,11,12,13],[2,3,7,9,10,13,14],[2,4,6,8,9,10,12],[2,4,6,10,11,12,13],[2,4,7,8,9,11,13],[2,5,6,7,8,10,14],[2,5,6,9,12,13,14],[2,5,7,8,11,12,14],[3,4,5,6,7,12,13],[3,4,5,8,10,13,14],[3,4,5,9,10,11,12],[3,4,7,8,11,12,14],[3,5,6,9,10,11,14],[3,6,7,8,9,11,13]]; G[168]:=Group([(1,5)(2,4)(8,9)(10,12)(11,13)]); # Design 169: autom. group order 2, simple B[169]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,3,9,10,11,12],[1,2,4,5,10,13,14],[1,3,6,8,11,13,14],[1,4,6,7,9,12,13],[1,4,6,8,10,12,13],[1,4,7,9,11,13,14],[1,5,6,8,9,10,14],[1,5,7,8,9,11,12],[1,5,7,10,11,12,14],[2,3,7,9,12,13,14],[2,4,6,8,9,11,12],[2,4,6,10,11,12,14],[2,4,7,8,9,10,14],[2,5,6,7,8,11,13],[2,5,6,9,11,13,14],[2,5,7,8,10,12,13],[3,4,5,6,7,12,14],[3,4,5,8,11,12,14],[3,4,5,9,10,11,13],[3,4,7,8,10,11,13],[3,5,6,9,10,12,13],[3,6,7,8,9,10,14]]; G[169]:=Group([(1,5)(2,4)(8,9)(10,14)(11,12)]); # Design 170: autom. group order 2, simple B[170]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,3,9,10,11,12],[1,2,4,5,10,13,14],[1,3,6,8,11,13,14],[1,4,6,7,9,12,13],[1,4,6,8,10,12,13],[1,4,7,9,11,13,14],[1,5,6,8,9,11,12],[1,5,7,8,9,10,14],[1,5,7,10,11,12,14],[2,3,7,9,12,13,14],[2,4,6,8,9,10,14],[2,4,6,10,11,12,14],[2,4,7,8,9,11,12],[2,5,6,7,8,11,13],[2,5,6,9,11,13,14],[2,5,7,8,10,12,13],[3,4,5,6,7,12,14],[3,4,5,8,11,12,14],[3,4,5,9,10,11,13],[3,4,7,8,10,11,13],[3,5,6,9,10,12,13],[3,6,7,8,9,10,14]]; G[170]:=Group([(1,5)(2,4)(8,9)(10,14)(11,12)]); # Design 171: autom. group order 2, simple B[171]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,5,11,12,14],[1,3,6,8,11,13,14],[1,4,6,7,8,10,14],[1,4,6,9,10,12,14],[1,4,7,9,11,13,14],[1,5,6,10,11,12,13],[1,5,7,8,9,10,13],[1,5,7,8,9,11,12],[2,3,7,9,10,11,14],[2,4,6,8,9,10,13],[2,4,6,8,9,11,12],[2,4,7,10,11,12,13],[2,5,6,7,9,13,14],[2,5,6,8,11,13,14],[2,5,7,8,10,12,14],[3,4,5,6,7,12,13],[3,4,5,8,10,11,14],[3,4,5,9,10,11,13],[3,4,7,8,12,13,14],[3,5,6,9,10,12,14],[3,6,7,8,9,11,12]]; G[171]:=Group([(1,5)(2,4)(8,9)(10,13)(11,12)]); # Design 172: autom. group order 2, simple B[172]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,5,11,12,14],[1,3,6,8,11,13,14],[1,4,6,7,8,10,14],[1,4,6,9,11,13,14],[1,4,7,9,10,12,14],[1,5,6,10,11,12,13],[1,5,7,8,9,10,13],[1,5,7,8,9,11,12],[2,3,7,9,10,11,14],[2,4,6,8,9,10,13],[2,4,6,8,9,11,12],[2,4,7,10,11,12,13],[2,5,6,7,9,13,14],[2,5,6,8,10,12,14],[2,5,7,8,11,13,14],[3,4,5,6,7,12,13],[3,4,5,8,10,11,14],[3,4,5,9,10,11,13],[3,4,7,8,12,13,14],[3,5,6,9,10,12,14],[3,6,7,8,9,11,12]]; G[172]:=Group([(1,5)(2,4)(8,9)(10,13)(11,12)]); # Design 173: autom. group order 2, simple, residual B[173]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,10,11,12],[1,4,7,9,10,13,14],[1,5,6,8,9,10,13],[1,5,7,8,11,12,13],[1,5,7,9,11,12,14],[2,3,7,9,11,13,14],[2,4,6,8,11,13,14],[2,4,6,9,11,12,13],[2,4,7,8,9,10,12],[2,5,6,7,9,12,14],[2,5,6,8,10,12,14],[2,5,7,8,10,11,13],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,11,12,13],[3,4,7,8,10,12,14],[3,5,6,9,10,13,14],[3,6,7,8,9,10,11]]; G[173]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 174: autom. group order 2, simple, residual B[174]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,10,11,13],[1,4,7,9,10,12,14],[1,5,6,8,9,10,12],[1,5,7,8,11,13,14],[1,5,7,9,11,12,13],[2,3,7,9,11,13,14],[2,4,6,8,11,12,13],[2,4,6,9,11,12,14],[2,4,7,8,9,10,13],[2,5,6,7,9,12,14],[2,5,6,8,10,13,14],[2,5,7,8,10,11,12],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,11,12,13],[3,4,7,8,10,12,14],[3,5,6,9,10,13,14],[3,6,7,8,9,10,11]]; G[174]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 175: autom. group order 2, simple B[175]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,10,11,12],[1,4,7,9,10,13,14],[1,5,6,8,9,10,13],[1,5,7,8,11,12,13],[1,5,7,9,11,12,14],[2,3,7,9,11,13,14],[2,4,6,8,11,13,14],[2,4,6,9,11,12,13],[2,4,7,8,9,10,12],[2,5,6,7,9,12,14],[2,5,6,8,10,12,14],[2,5,7,8,10,11,13],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,12,13,14],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[175]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 176: autom. group order 2, simple B[176]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,10,11,13],[1,4,7,9,10,12,14],[1,5,6,8,9,10,12],[1,5,7,8,11,13,14],[1,5,7,9,11,12,13],[2,3,7,9,11,13,14],[2,4,6,8,11,12,13],[2,4,6,9,11,12,14],[2,4,7,8,9,10,13],[2,5,6,7,9,12,14],[2,5,6,8,10,13,14],[2,5,7,8,10,11,12],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,12,13,14],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[176]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 177: autom. group order 2, simple, residual B[177]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,10,12,14],[1,4,7,9,10,11,13],[1,5,6,8,9,10,13],[1,5,7,8,11,12,13],[1,5,7,9,11,12,14],[2,3,7,9,11,13,14],[2,4,6,8,11,13,14],[2,4,6,9,11,12,13],[2,4,7,8,9,10,12],[2,5,6,7,9,12,14],[2,5,6,8,10,11,12],[2,5,7,8,10,13,14],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,11,12,13],[3,4,7,8,10,12,14],[3,5,6,9,10,13,14],[3,6,7,8,9,10,11]]; G[177]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 178: autom. group order 2, simple, residual B[178]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,10,13,14],[1,4,7,9,10,11,12],[1,5,6,8,9,10,12],[1,5,7,8,11,13,14],[1,5,7,9,11,12,13],[2,3,7,9,11,13,14],[2,4,6,8,11,12,13],[2,4,6,9,11,12,14],[2,4,7,8,9,10,13],[2,5,6,7,9,12,14],[2,5,6,8,10,11,13],[2,5,7,8,10,12,14],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,11,12,13],[3,4,7,8,10,12,14],[3,5,6,9,10,13,14],[3,6,7,8,9,10,11]]; G[178]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 179: autom. group order 2, simple B[179]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,10,12,14],[1,4,7,9,10,11,13],[1,5,6,8,9,10,13],[1,5,7,8,11,12,13],[1,5,7,9,11,12,14],[2,3,7,9,11,13,14],[2,4,6,8,11,13,14],[2,4,6,9,11,12,13],[2,4,7,8,9,10,12],[2,5,6,7,9,12,14],[2,5,6,8,10,11,12],[2,5,7,8,10,13,14],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,12,13,14],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[179]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 180: autom. group order 2, simple B[180]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,10,13,14],[1,4,7,9,10,11,12],[1,5,6,8,9,10,12],[1,5,7,8,11,13,14],[1,5,7,9,11,12,13],[2,3,7,9,11,13,14],[2,4,6,8,11,12,13],[2,4,6,9,11,12,14],[2,4,7,8,9,10,13],[2,5,6,7,9,12,14],[2,5,6,8,10,11,13],[2,5,7,8,10,12,14],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,12,13,14],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[180]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 181: autom. group order 2, simple, residual B[181]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,10,11,12],[1,4,7,9,10,13,14],[1,5,6,8,9,11,13],[1,5,7,8,10,12,13],[1,5,7,9,11,12,14],[2,3,7,9,11,13,14],[2,4,6,8,11,13,14],[2,4,6,9,10,12,13],[2,4,7,8,9,11,12],[2,5,6,7,9,12,14],[2,5,6,8,10,12,14],[2,5,7,8,10,11,13],[3,4,5,6,7,12,13],[3,4,5,8,9,10,14],[3,4,5,11,12,13,14],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[181]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 182: autom. group order 2, simple, residual B[182]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,10,12,14],[1,4,7,9,10,11,13],[1,5,6,8,9,11,13],[1,5,7,8,10,12,13],[1,5,7,9,11,12,14],[2,3,7,9,11,13,14],[2,4,6,8,11,13,14],[2,4,6,9,10,12,13],[2,4,7,8,9,11,12],[2,5,6,7,9,12,14],[2,5,6,8,10,11,12],[2,5,7,8,10,13,14],[3,4,5,6,7,12,13],[3,4,5,8,9,10,14],[3,4,5,11,12,13,14],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[182]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 183: autom. group order 2, simple, residual B[183]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,12,14],[1,4,6,9,10,13,14],[1,4,7,9,10,12,13],[1,5,6,8,9,11,13],[1,5,7,8,10,11,13],[1,5,7,9,11,12,14],[2,3,7,9,11,13,14],[2,4,6,8,11,13,14],[2,4,6,9,10,11,12],[2,4,7,8,9,11,12],[2,5,6,7,9,13,14],[2,5,6,8,10,12,13],[2,5,7,8,10,12,14],[3,4,5,6,7,12,13],[3,4,5,8,9,10,14],[3,4,5,11,12,13,14],[3,4,7,8,10,11,13],[3,5,6,9,10,11,12],[3,6,7,8,9,10,14]]; G[183]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 184: autom. group order 2, simple, residual B[184]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,10,12,13],[1,4,7,9,10,12,14],[1,5,6,8,9,11,13],[1,5,7,8,10,11,12],[1,5,7,9,11,13,14],[2,3,7,9,11,13,14],[2,4,6,8,11,12,14],[2,4,6,9,10,11,13],[2,4,7,8,9,11,12],[2,5,6,7,9,12,14],[2,5,6,8,10,13,14],[2,5,7,8,10,12,13],[3,4,5,6,7,12,13],[3,4,5,8,9,10,14],[3,4,5,11,12,13,14],[3,4,7,8,10,11,13],[3,5,6,9,10,11,12],[3,6,7,8,9,10,14]]; G[184]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 185: autom. group order 2, simple, residual B[185]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,10,11,13],[1,4,7,9,10,12,14],[1,5,6,8,9,11,12],[1,5,7,8,11,13,14],[1,5,7,9,10,12,13],[2,3,7,9,11,13,14],[2,4,6,8,10,12,13],[2,4,6,9,11,12,14],[2,4,7,8,9,11,13],[2,5,6,7,9,12,14],[2,5,6,8,10,13,14],[2,5,7,8,10,11,12],[3,4,5,6,7,12,13],[3,4,5,8,9,10,14],[3,4,5,11,12,13,14],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[185]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 186: autom. group order 2, simple, residual B[186]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,10,13,14],[1,4,7,9,10,11,12],[1,5,6,8,9,11,12],[1,5,7,8,11,13,14],[1,5,7,9,10,12,13],[2,3,7,9,11,13,14],[2,4,6,8,10,12,13],[2,4,6,9,11,12,14],[2,4,7,8,9,11,13],[2,5,6,7,9,12,14],[2,5,6,8,10,11,13],[2,5,7,8,10,12,14],[3,4,5,6,7,12,13],[3,4,5,8,9,10,14],[3,4,5,11,12,13,14],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[186]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 187: autom. group order 2, simple, residual B[187]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,12,14],[1,4,6,9,10,13,14],[1,4,7,9,10,12,13],[1,5,6,8,9,11,13],[1,5,7,8,11,13,14],[1,5,7,9,10,11,12],[2,3,7,9,11,13,14],[2,4,6,8,10,11,13],[2,4,6,9,11,12,14],[2,4,7,8,9,11,12],[2,5,6,7,9,13,14],[2,5,6,8,10,12,13],[2,5,7,8,10,12,14],[3,4,5,6,7,12,13],[3,4,5,8,9,10,14],[3,4,5,11,12,13,14],[3,4,7,8,10,11,13],[3,5,6,9,10,11,12],[3,6,7,8,9,10,14]]; G[187]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 188: autom. group order 2, simple, residual B[188]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,10,12,13],[1,4,7,9,10,12,14],[1,5,6,8,9,11,13],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,7,9,11,13,14],[2,4,6,8,10,11,12],[2,4,6,9,11,13,14],[2,4,7,8,9,11,12],[2,5,6,7,9,12,14],[2,5,6,8,10,13,14],[2,5,7,8,10,12,13],[3,4,5,6,7,12,13],[3,4,5,8,9,10,14],[3,4,5,11,12,13,14],[3,4,7,8,10,11,13],[3,5,6,9,10,11,12],[3,6,7,8,9,10,14]]; G[188]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 189: autom. group order 2, simple, residual B[189]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,12,14],[1,4,6,9,10,11,13],[1,4,7,9,11,12,13],[1,5,6,8,9,10,13],[1,5,7,8,10,13,14],[1,5,7,9,11,12,14],[2,3,7,9,11,13,14],[2,4,6,8,11,13,14],[2,4,6,9,10,12,14],[2,4,7,8,9,10,12],[2,5,6,7,9,13,14],[2,5,6,8,11,12,13],[2,5,7,8,10,11,12],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,11,12,13],[3,4,7,8,10,13,14],[3,5,6,9,10,12,14],[3,6,7,8,9,10,11]]; G[189]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 190: autom. group order 2, simple, residual B[190]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,10,11,13],[1,4,7,9,11,12,14],[1,5,6,8,9,10,12],[1,5,7,8,10,13,14],[1,5,7,9,11,12,13],[2,3,7,9,11,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,12,14],[2,4,7,8,9,10,13],[2,5,6,7,9,12,14],[2,5,6,8,11,13,14],[2,5,7,8,10,11,12],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,11,12,13],[3,4,7,8,10,12,14],[3,5,6,9,10,13,14],[3,6,7,8,9,10,11]]; G[190]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 191: autom. group order 2, simple B[191]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,10,11,13],[1,4,7,9,11,12,14],[1,5,6,8,9,10,12],[1,5,7,8,10,13,14],[1,5,7,9,11,12,13],[2,3,7,9,11,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,12,14],[2,4,7,8,9,10,13],[2,5,6,7,9,12,14],[2,5,6,8,11,13,14],[2,5,7,8,10,11,12],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,12,13,14],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[191]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 192: autom. group order 2, simple B[192]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,12,14],[1,4,6,9,10,13,14],[1,4,7,9,11,12,13],[1,5,6,8,9,10,13],[1,5,7,8,10,11,13],[1,5,7,9,11,12,14],[2,3,7,9,11,13,14],[2,4,6,8,11,13,14],[2,4,6,9,10,11,12],[2,4,7,8,9,10,12],[2,5,6,7,9,13,14],[2,5,6,8,11,12,13],[2,5,7,8,10,12,14],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,12,13,14],[3,4,7,8,10,11,13],[3,5,6,9,10,11,12],[3,6,7,8,9,10,14]]; G[192]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 193: autom. group order 2, simple B[193]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,10,13,14],[1,4,7,9,11,12,14],[1,5,6,8,9,10,12],[1,5,7,8,10,11,13],[1,5,7,9,11,12,13],[2,3,7,9,11,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,11,12],[2,4,7,8,9,10,13],[2,5,6,7,9,12,14],[2,5,6,8,11,13,14],[2,5,7,8,10,12,14],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,12,13,14],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[193]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 194: autom. group order 2, simple, residual B[194]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,12,14],[1,4,6,9,10,11,13],[1,4,7,9,11,12,13],[1,5,6,8,9,10,13],[1,5,7,8,11,13,14],[1,5,7,9,10,12,14],[2,3,7,9,11,13,14],[2,4,6,8,10,13,14],[2,4,6,9,11,12,14],[2,4,7,8,9,10,12],[2,5,6,7,9,13,14],[2,5,6,8,11,12,13],[2,5,7,8,10,11,12],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,11,12,13],[3,4,7,8,10,13,14],[3,5,6,9,10,12,14],[3,6,7,8,9,10,11]]; G[194]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 195: autom. group order 2, simple, residual B[195]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,10,11,12],[1,4,7,9,11,13,14],[1,5,6,8,9,10,13],[1,5,7,8,11,12,13],[1,5,7,9,10,12,14],[2,3,7,9,11,13,14],[2,4,6,8,10,13,14],[2,4,6,9,11,12,13],[2,4,7,8,9,10,12],[2,5,6,7,9,12,14],[2,5,6,8,11,12,14],[2,5,7,8,10,11,13],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,11,12,13],[3,4,7,8,10,12,14],[3,5,6,9,10,13,14],[3,6,7,8,9,10,11]]; G[195]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 196: autom. group order 2, simple B[196]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,12,14],[1,4,6,9,10,13,14],[1,4,7,9,11,12,13],[1,5,6,8,9,10,13],[1,5,7,8,11,13,14],[1,5,7,9,10,11,12],[2,3,7,9,11,13,14],[2,4,6,8,10,11,13],[2,4,6,9,11,12,14],[2,4,7,8,9,10,12],[2,5,6,7,9,13,14],[2,5,6,8,11,12,13],[2,5,7,8,10,12,14],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,12,13,14],[3,4,7,8,10,11,13],[3,5,6,9,10,11,12],[3,6,7,8,9,10,14]]; G[196]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 197: autom. group order 2, simple B[197]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,10,12,14],[1,4,7,9,11,13,14],[1,5,6,8,9,10,13],[1,5,7,8,11,12,13],[1,5,7,9,10,11,12],[2,3,7,9,11,13,14],[2,4,6,8,10,11,13],[2,4,6,9,11,12,13],[2,4,7,8,9,10,12],[2,5,6,7,9,12,14],[2,5,6,8,11,12,14],[2,5,7,8,10,13,14],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,12,13,14],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[197]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 198: autom. group order 2, simple, residual B[198]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,10,11,13],[1,4,7,9,11,12,14],[1,5,6,8,9,11,12],[1,5,7,8,10,13,14],[1,5,7,9,10,12,13],[2,3,7,9,11,13,14],[2,4,6,8,10,12,13],[2,4,6,9,10,12,14],[2,4,7,8,9,11,13],[2,5,6,7,9,12,14],[2,5,6,8,11,13,14],[2,5,7,8,10,11,12],[3,4,5,6,7,12,13],[3,4,5,8,9,10,14],[3,4,5,11,12,13,14],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[198]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 199: autom. group order 2, simple, residual B[199]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,10,13,14],[1,4,7,9,11,12,14],[1,5,6,8,9,11,12],[1,5,7,8,10,11,13],[1,5,7,9,10,12,13],[2,3,7,9,11,13,14],[2,4,6,8,10,12,13],[2,4,6,9,10,11,12],[2,4,7,8,9,11,13],[2,5,6,7,9,12,14],[2,5,6,8,11,13,14],[2,5,7,8,10,12,14],[3,4,5,6,7,12,13],[3,4,5,8,9,10,14],[3,4,5,11,12,13,14],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[199]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 200: autom. group order 2, simple, residual B[200]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,10,12,13],[1,4,7,9,11,12,14],[1,5,6,8,9,11,13],[1,5,7,8,10,12,14],[1,5,7,9,10,11,13],[2,3,7,9,11,13,14],[2,4,6,8,10,11,12],[2,4,6,9,10,13,14],[2,4,7,8,9,11,12],[2,5,6,7,9,12,14],[2,5,6,8,11,13,14],[2,5,7,8,10,12,13],[3,4,5,6,7,12,13],[3,4,5,8,9,10,14],[3,4,5,11,12,13,14],[3,4,7,8,10,11,13],[3,5,6,9,10,11,12],[3,6,7,8,9,10,14]]; G[200]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 201: autom. group order 2, simple, residual B[201]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,10,12,14],[1,4,7,9,11,13,14],[1,5,6,8,9,11,13],[1,5,7,8,10,12,13],[1,5,7,9,10,11,12],[2,3,7,9,11,13,14],[2,4,6,8,10,11,13],[2,4,6,9,10,12,13],[2,4,7,8,9,11,12],[2,5,6,7,9,12,14],[2,5,6,8,11,12,14],[2,5,7,8,10,13,14],[3,4,5,6,7,12,13],[3,4,5,8,9,10,14],[3,4,5,11,12,13,14],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[201]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 202: autom. group order 2, simple B[202]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,11,13,14],[1,4,7,9,10,11,12],[1,5,6,8,9,10,12],[1,5,7,8,10,13,14],[1,5,7,9,11,12,13],[2,3,7,9,11,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,12,14],[2,4,7,8,9,10,13],[2,5,6,7,9,12,14],[2,5,6,8,10,11,13],[2,5,7,8,11,12,14],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,12,13,14],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[202]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 203: autom. group order 2, simple B[203]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,11,13,14],[1,4,7,9,10,12,14],[1,5,6,8,9,10,12],[1,5,7,8,10,11,13],[1,5,7,9,11,12,13],[2,3,7,9,11,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,11,12],[2,4,7,8,9,10,13],[2,5,6,7,9,12,14],[2,5,6,8,10,13,14],[2,5,7,8,11,12,14],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,12,13,14],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[203]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 204: autom. group order 2, simple, residual B[204]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,11,12,13],[1,4,7,9,10,11,12],[1,5,6,8,9,10,13],[1,5,7,8,11,12,14],[1,5,7,9,10,13,14],[2,3,7,9,11,13,14],[2,4,6,8,10,12,14],[2,4,6,9,11,13,14],[2,4,7,8,9,10,12],[2,5,6,7,9,12,14],[2,5,6,8,10,11,13],[2,5,7,8,11,12,13],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,11,12,13],[3,4,7,8,10,13,14],[3,5,6,9,10,12,14],[3,6,7,8,9,10,11]]; G[204]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 205: autom. group order 2, simple, residual B[205]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,11,12,14],[1,4,7,9,10,11,13],[1,5,6,8,9,10,13],[1,5,7,8,11,12,13],[1,5,7,9,10,12,14],[2,3,7,9,11,13,14],[2,4,6,8,10,13,14],[2,4,6,9,11,12,13],[2,4,7,8,9,10,12],[2,5,6,7,9,12,14],[2,5,6,8,10,11,12],[2,5,7,8,11,13,14],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,11,12,13],[3,4,7,8,10,12,14],[3,5,6,9,10,13,14],[3,6,7,8,9,10,11]]; G[205]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 206: autom. group order 2, simple B[206]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,11,12,14],[1,4,7,9,10,13,14],[1,5,6,8,9,10,13],[1,5,7,8,11,12,13],[1,5,7,9,10,11,12],[2,3,7,9,11,13,14],[2,4,6,8,10,11,13],[2,4,6,9,11,12,13],[2,4,7,8,9,10,12],[2,5,6,7,9,12,14],[2,5,6,8,10,12,14],[2,5,7,8,11,13,14],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,12,13,14],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[206]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 207: autom. group order 2, simple, residual B[207]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,11,13,14],[1,4,7,9,10,12,14],[1,5,6,8,9,11,12],[1,5,7,8,10,11,13],[1,5,7,9,10,12,13],[2,3,7,9,11,13,14],[2,4,6,8,10,12,13],[2,4,6,9,10,11,12],[2,4,7,8,9,11,13],[2,5,6,7,9,12,14],[2,5,6,8,10,13,14],[2,5,7,8,11,12,14],[3,4,5,6,7,12,13],[3,4,5,8,9,10,14],[3,4,5,11,12,13,14],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[207]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 208: autom. group order 2, simple, residual B[208]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,11,12,14],[1,4,7,9,10,13,14],[1,5,6,8,9,11,13],[1,5,7,8,10,12,13],[1,5,7,9,10,11,12],[2,3,7,9,11,13,14],[2,4,6,8,10,11,13],[2,4,6,9,10,12,13],[2,4,7,8,9,11,12],[2,5,6,7,9,12,14],[2,5,6,8,10,12,14],[2,5,7,8,11,13,14],[3,4,5,6,7,12,13],[3,4,5,8,9,10,14],[3,4,5,11,12,13,14],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[208]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 209: autom. group order 2, simple B[209]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,5,11,12,14],[1,3,6,8,11,13,14],[1,4,6,7,8,10,14],[1,4,6,9,10,12,14],[1,4,7,9,11,13,14],[1,5,6,8,9,10,13],[1,5,7,8,9,11,12],[1,5,7,10,11,12,13],[2,3,7,9,10,11,14],[2,4,6,8,9,11,12],[2,4,6,10,11,12,13],[2,4,7,8,9,10,13],[2,5,6,7,9,13,14],[2,5,6,8,11,13,14],[2,5,7,8,10,12,14],[3,4,5,6,7,12,13],[3,4,5,8,10,11,14],[3,4,5,9,10,11,13],[3,4,7,8,12,13,14],[3,5,6,9,10,12,14],[3,6,7,8,9,11,12]]; G[209]:=Group([(1,5)(2,4)(8,9)(10,13)(11,12)]); # Design 210: autom. group order 2, simple B[210]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,5,11,12,14],[1,3,6,8,11,13,14],[1,4,6,7,8,10,14],[1,4,6,9,10,12,14],[1,4,7,9,11,13,14],[1,5,6,8,9,11,12],[1,5,7,8,9,10,13],[1,5,7,10,11,12,13],[2,3,7,9,10,11,14],[2,4,6,8,9,10,13],[2,4,6,10,11,12,13],[2,4,7,8,9,11,12],[2,5,6,7,9,13,14],[2,5,6,8,11,13,14],[2,5,7,8,10,12,14],[3,4,5,6,7,12,13],[3,4,5,8,10,11,14],[3,4,5,9,10,11,13],[3,4,7,8,12,13,14],[3,5,6,9,10,12,14],[3,6,7,8,9,11,12]]; G[210]:=Group([(1,5)(2,4)(8,9)(10,13)(11,12)]); # Design 211: autom. group order 2, simple B[211]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,5,11,12,14],[1,3,6,8,11,13,14],[1,4,6,7,8,10,14],[1,4,6,9,11,13,14],[1,4,7,9,10,12,14],[1,5,6,8,9,10,13],[1,5,7,8,9,11,12],[1,5,7,10,11,12,13],[2,3,7,9,10,11,14],[2,4,6,8,9,11,12],[2,4,6,10,11,12,13],[2,4,7,8,9,10,13],[2,5,6,7,9,13,14],[2,5,6,8,10,12,14],[2,5,7,8,11,13,14],[3,4,5,6,7,12,13],[3,4,5,8,10,11,14],[3,4,5,9,10,11,13],[3,4,7,8,12,13,14],[3,5,6,9,10,12,14],[3,6,7,8,9,11,12]]; G[211]:=Group([(1,5)(2,4)(8,9)(10,13)(11,12)]); # Design 212: autom. group order 2, simple B[212]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,5,11,12,14],[1,3,6,8,11,13,14],[1,4,6,7,8,10,14],[1,4,6,9,11,13,14],[1,4,7,9,10,12,14],[1,5,6,8,9,11,12],[1,5,7,8,9,10,13],[1,5,7,10,11,12,13],[2,3,7,9,10,11,14],[2,4,6,8,9,10,13],[2,4,6,10,11,12,13],[2,4,7,8,9,11,12],[2,5,6,7,9,13,14],[2,5,6,8,10,12,14],[2,5,7,8,11,13,14],[3,4,5,6,7,12,13],[3,4,5,8,10,11,14],[3,4,5,9,10,11,13],[3,4,7,8,12,13,14],[3,5,6,9,10,12,14],[3,6,7,8,9,11,12]]; G[212]:=Group([(1,5)(2,4)(8,9)(10,13)(11,12)]); # Design 213: autom. group order 2, simple, residual B[213]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,10,11,12],[1,4,7,8,9,10,13],[1,5,6,9,10,13,14],[1,5,7,8,11,12,14],[1,5,7,9,11,12,13],[2,3,7,9,11,13,14],[2,4,6,8,11,12,13],[2,4,6,9,11,13,14],[2,4,7,8,10,12,14],[2,5,6,7,9,12,14],[2,5,6,8,9,10,12],[2,5,7,8,10,11,13],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,10,13,14],[3,6,7,8,9,10,11]]; G[213]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 214: autom. group order 2, simple, residual B[214]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,10,11,13],[1,4,7,8,9,10,12],[1,5,6,9,10,12,14],[1,5,7,8,11,12,13],[1,5,7,9,11,13,14],[2,3,7,9,11,13,14],[2,4,6,8,11,12,14],[2,4,6,9,11,12,13],[2,4,7,8,10,13,14],[2,5,6,7,9,12,14],[2,5,6,8,9,10,13],[2,5,7,8,10,11,12],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,10,13,14],[3,6,7,8,9,10,11]]; G[214]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 215: autom. group order 2, simple B[215]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,10,11,12],[1,4,7,8,9,10,13],[1,5,6,9,10,13,14],[1,5,7,8,11,12,14],[1,5,7,9,11,12,13],[2,3,7,9,11,13,14],[2,4,6,8,11,12,13],[2,4,6,9,11,13,14],[2,4,7,8,10,12,14],[2,5,6,7,9,12,14],[2,5,6,8,9,10,12],[2,5,7,8,10,11,13],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,12,13,14],[3,4,7,9,10,11,12],[3,5,6,8,10,11,13],[3,6,7,8,9,10,14]]; G[215]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 216: autom. group order 2, simple B[216]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,10,11,13],[1,4,7,8,9,10,12],[1,5,6,9,10,12,14],[1,5,7,8,11,12,13],[1,5,7,9,11,13,14],[2,3,7,9,11,13,14],[2,4,6,8,11,12,14],[2,4,6,9,11,12,13],[2,4,7,8,10,13,14],[2,5,6,7,9,12,14],[2,5,6,8,9,10,13],[2,5,7,8,10,11,12],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,12,13,14],[3,4,7,9,10,11,12],[3,5,6,8,10,11,13],[3,6,7,8,9,10,14]]; G[216]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 217: autom. group order 2, simple, residual B[217]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,10,12,14],[1,4,7,8,9,10,13],[1,5,6,9,10,11,13],[1,5,7,8,11,12,14],[1,5,7,9,11,12,13],[2,3,7,9,11,13,14],[2,4,6,8,11,12,13],[2,4,6,9,11,13,14],[2,4,7,8,10,11,12],[2,5,6,7,9,12,14],[2,5,6,8,9,10,12],[2,5,7,8,10,13,14],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,10,13,14],[3,6,7,8,9,10,11]]; G[217]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 218: autom. group order 2, simple, residual B[218]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,10,13,14],[1,4,7,8,9,10,12],[1,5,6,9,10,11,12],[1,5,7,8,11,12,13],[1,5,7,9,11,13,14],[2,3,7,9,11,13,14],[2,4,6,8,11,12,14],[2,4,6,9,11,12,13],[2,4,7,8,10,11,13],[2,5,6,7,9,12,14],[2,5,6,8,9,10,13],[2,5,7,8,10,12,14],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,10,13,14],[3,6,7,8,9,10,11]]; G[218]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 219: autom. group order 2, simple B[219]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,10,13,14],[1,4,7,8,9,10,12],[1,5,6,9,10,11,12],[1,5,7,8,11,12,13],[1,5,7,9,11,13,14],[2,3,7,9,11,13,14],[2,4,6,8,11,12,14],[2,4,6,9,11,12,13],[2,4,7,8,10,11,13],[2,5,6,7,9,12,14],[2,5,6,8,9,10,13],[2,5,7,8,10,12,14],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,12,13,14],[3,4,7,9,10,11,12],[3,5,6,8,10,11,13],[3,6,7,8,9,10,14]]; G[219]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 220: autom. group order 2, simple, residual B[220]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,12,14],[1,4,6,9,10,11,13],[1,4,7,8,9,10,13],[1,5,6,9,11,12,13],[1,5,7,8,10,13,14],[1,5,7,9,11,12,14],[2,3,7,9,11,13,14],[2,4,6,8,11,13,14],[2,4,6,9,10,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,13,14],[2,5,6,8,9,10,12],[2,5,7,8,10,11,12],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,10,13,14],[3,6,7,8,9,10,11]]; G[220]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 221: autom. group order 2, simple, residual B[221]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,10,11,12],[1,4,7,8,9,10,13],[1,5,6,9,11,13,14],[1,5,7,8,10,12,14],[1,5,7,9,11,12,13],[2,3,7,9,11,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,13,14],[2,4,7,8,11,12,14],[2,5,6,7,9,12,14],[2,5,6,8,9,10,12],[2,5,7,8,10,11,13],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,10,13,14],[3,6,7,8,9,10,11]]; G[221]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 222: autom. group order 2, simple B[222]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,12,14],[1,4,6,9,10,11,13],[1,4,7,8,9,10,13],[1,5,6,9,11,12,13],[1,5,7,8,10,13,14],[1,5,7,9,11,12,14],[2,3,7,9,11,13,14],[2,4,6,8,11,13,14],[2,4,6,9,10,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,13,14],[2,5,6,8,9,10,12],[2,5,7,8,10,11,12],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,12,13,14],[3,4,7,9,10,11,12],[3,5,6,8,10,11,13],[3,6,7,8,9,10,14]]; G[222]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 223: autom. group order 2, simple B[223]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,10,11,12],[1,4,7,8,9,10,13],[1,5,6,9,11,13,14],[1,5,7,8,10,12,14],[1,5,7,9,11,12,13],[2,3,7,9,11,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,13,14],[2,4,7,8,11,12,14],[2,5,6,7,9,12,14],[2,5,6,8,9,10,12],[2,5,7,8,10,11,13],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,12,13,14],[3,4,7,9,10,11,12],[3,5,6,8,10,11,13],[3,6,7,8,9,10,14]]; G[223]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 224: autom. group order 2, simple, residual B[224]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,12,14],[1,4,6,9,10,13,14],[1,4,7,8,9,10,13],[1,5,6,9,11,12,13],[1,5,7,8,10,11,13],[1,5,7,9,11,12,14],[2,3,7,9,11,13,14],[2,4,6,8,11,13,14],[2,4,6,9,10,11,12],[2,4,7,8,11,12,13],[2,5,6,7,9,13,14],[2,5,6,8,9,10,12],[2,5,7,8,10,12,14],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,10,13,14],[3,6,7,8,9,10,11]]; G[224]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 225: autom. group order 2, simple, residual B[225]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,10,12,14],[1,4,7,8,9,10,13],[1,5,6,9,11,13,14],[1,5,7,8,10,11,12],[1,5,7,9,11,12,13],[2,3,7,9,11,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,11,13],[2,4,7,8,11,12,14],[2,5,6,7,9,12,14],[2,5,6,8,9,10,12],[2,5,7,8,10,13,14],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,10,13,14],[3,6,7,8,9,10,11]]; G[225]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 226: autom. group order 2, simple B[226]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,12,14],[1,4,6,9,10,13,14],[1,4,7,8,9,10,13],[1,5,6,9,11,12,13],[1,5,7,8,10,11,13],[1,5,7,9,11,12,14],[2,3,7,9,11,13,14],[2,4,6,8,11,13,14],[2,4,6,9,10,11,12],[2,4,7,8,11,12,13],[2,5,6,7,9,13,14],[2,5,6,8,9,10,12],[2,5,7,8,10,12,14],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,12,13,14],[3,4,7,9,10,11,12],[3,5,6,8,10,11,13],[3,6,7,8,9,10,14]]; G[226]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 227: autom. group order 2, simple, residual B[227]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,12,14],[1,4,6,9,10,11,13],[1,4,7,8,9,10,13],[1,5,6,9,11,12,13],[1,5,7,8,11,13,14],[1,5,7,9,10,12,14],[2,3,7,9,11,13,14],[2,4,6,8,10,13,14],[2,4,6,9,11,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,13,14],[2,5,6,8,9,10,12],[2,5,7,8,10,11,12],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,10,13,14],[3,6,7,8,9,10,11]]; G[227]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 228: autom. group order 2, simple, residual B[228]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,10,11,13],[1,4,7,8,9,10,12],[1,5,6,9,11,12,14],[1,5,7,8,11,12,13],[1,5,7,9,10,13,14],[2,3,7,9,11,13,14],[2,4,6,8,10,12,14],[2,4,6,9,11,12,13],[2,4,7,8,11,13,14],[2,5,6,7,9,12,14],[2,5,6,8,9,10,13],[2,5,7,8,10,11,12],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,10,13,14],[3,6,7,8,9,10,11]]; G[228]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 229: autom. group order 2, simple B[229]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,12,14],[1,4,6,9,10,11,13],[1,4,7,8,9,10,13],[1,5,6,9,11,12,13],[1,5,7,8,11,13,14],[1,5,7,9,10,12,14],[2,3,7,9,11,13,14],[2,4,6,8,10,13,14],[2,4,6,9,11,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,13,14],[2,5,6,8,9,10,12],[2,5,7,8,10,11,12],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,12,13,14],[3,4,7,9,10,11,12],[3,5,6,8,10,11,13],[3,6,7,8,9,10,14]]; G[229]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 230: autom. group order 2, simple B[230]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,10,11,13],[1,4,7,8,9,10,12],[1,5,6,9,11,12,14],[1,5,7,8,11,12,13],[1,5,7,9,10,13,14],[2,3,7,9,11,13,14],[2,4,6,8,10,12,14],[2,4,6,9,11,12,13],[2,4,7,8,11,13,14],[2,5,6,7,9,12,14],[2,5,6,8,9,10,13],[2,5,7,8,10,11,12],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,12,13,14],[3,4,7,9,10,11,12],[3,5,6,8,10,11,13],[3,6,7,8,9,10,14]]; G[230]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 231: autom. group order 2, simple, residual B[231]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,12,14],[1,4,6,9,10,13,14],[1,4,7,8,9,10,13],[1,5,6,9,11,12,13],[1,5,7,8,11,13,14],[1,5,7,9,10,11,12],[2,3,7,9,11,13,14],[2,4,6,8,10,11,13],[2,4,6,9,11,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,13,14],[2,5,6,8,9,10,12],[2,5,7,8,10,12,14],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,10,13,14],[3,6,7,8,9,10,11]]; G[231]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 232: autom. group order 2, simple, residual B[232]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,10,13,14],[1,4,7,8,9,10,12],[1,5,6,9,11,12,14],[1,5,7,8,11,12,13],[1,5,7,9,10,11,13],[2,3,7,9,11,13,14],[2,4,6,8,10,11,12],[2,4,6,9,11,12,13],[2,4,7,8,11,13,14],[2,5,6,7,9,12,14],[2,5,6,8,9,10,13],[2,5,7,8,10,12,14],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,10,13,14],[3,6,7,8,9,10,11]]; G[232]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 233: autom. group order 2, simple, residual B[233]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,12,14],[1,4,6,9,10,11,13],[1,4,7,8,9,11,13],[1,5,6,9,10,12,13],[1,5,7,8,10,13,14],[1,5,7,9,11,12,14],[2,3,7,9,11,13,14],[2,4,6,8,11,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,13,14],[2,5,6,8,9,11,12],[2,5,7,8,10,11,12],[3,4,5,6,7,12,13],[3,4,5,8,9,10,14],[3,4,5,11,12,13,14],[3,4,7,9,10,11,12],[3,5,6,8,10,11,13],[3,6,7,8,9,10,14]]; G[233]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 234: autom. group order 2, simple, residual B[234]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,10,11,13],[1,4,7,8,9,11,12],[1,5,6,9,10,12,14],[1,5,7,8,10,12,13],[1,5,7,9,11,13,14],[2,3,7,9,11,13,14],[2,4,6,8,11,12,14],[2,4,6,9,10,12,13],[2,4,7,8,10,13,14],[2,5,6,7,9,12,14],[2,5,6,8,9,11,13],[2,5,7,8,10,11,12],[3,4,5,6,7,12,13],[3,4,5,8,9,10,14],[3,4,5,11,12,13,14],[3,4,7,9,10,11,12],[3,5,6,8,10,11,13],[3,6,7,8,9,10,14]]; G[234]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 235: autom. group order 2, simple, residual B[235]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,10,12,13],[1,4,7,8,9,11,12],[1,5,6,9,10,11,13],[1,5,7,8,10,13,14],[1,5,7,9,11,12,14],[2,3,7,9,11,13,14],[2,4,6,8,11,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,11,12],[2,5,6,7,9,12,14],[2,5,6,8,9,11,13],[2,5,7,8,10,12,13],[3,4,5,6,7,12,13],[3,4,5,8,9,10,14],[3,4,5,11,12,13,14],[3,4,7,9,10,11,13],[3,5,6,8,10,11,12],[3,6,7,8,9,10,14]]; G[235]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 236: autom. group order 2, simple, residual B[236]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,10,12,13],[1,4,7,8,9,11,12],[1,5,6,9,10,13,14],[1,5,7,8,10,11,13],[1,5,7,9,11,12,14],[2,3,7,9,11,13,14],[2,4,6,8,11,13,14],[2,4,6,9,10,11,12],[2,4,7,8,10,12,14],[2,5,6,7,9,12,14],[2,5,6,8,9,11,13],[2,5,7,8,10,12,13],[3,4,5,6,7,12,13],[3,4,5,8,9,10,14],[3,4,5,11,12,13,14],[3,4,7,9,10,11,13],[3,5,6,8,10,11,12],[3,6,7,8,9,10,14]]; G[236]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 237: autom. group order 2, simple, residual B[237]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,12,14],[1,4,6,9,10,11,13],[1,4,7,8,9,11,13],[1,5,6,9,10,12,13],[1,5,7,8,11,13,14],[1,5,7,9,10,12,14],[2,3,7,9,11,13,14],[2,4,6,8,10,13,14],[2,4,6,9,11,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,13,14],[2,5,6,8,9,11,12],[2,5,7,8,10,11,12],[3,4,5,6,7,12,13],[3,4,5,8,9,10,14],[3,4,5,11,12,13,14],[3,4,7,9,10,11,12],[3,5,6,8,10,11,13],[3,6,7,8,9,10,14]]; G[237]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 238: autom. group order 2, simple, residual B[238]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,10,11,12],[1,4,7,8,9,11,13],[1,5,6,9,10,13,14],[1,5,7,8,11,12,14],[1,5,7,9,10,12,13],[2,3,7,9,11,13,14],[2,4,6,8,10,12,13],[2,4,6,9,11,13,14],[2,4,7,8,10,12,14],[2,5,6,7,9,12,14],[2,5,6,8,9,11,12],[2,5,7,8,10,11,13],[3,4,5,6,7,12,13],[3,4,5,8,9,10,14],[3,4,5,11,12,13,14],[3,4,7,9,10,11,12],[3,5,6,8,10,11,13],[3,6,7,8,9,10,14]]; G[238]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 239: autom. group order 2, simple, residual B[239]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,10,12,13],[1,4,7,8,9,11,12],[1,5,6,9,10,11,13],[1,5,7,8,11,13,14],[1,5,7,9,10,12,14],[2,3,7,9,11,13,14],[2,4,6,8,10,13,14],[2,4,6,9,11,12,14],[2,4,7,8,10,11,12],[2,5,6,7,9,12,14],[2,5,6,8,9,11,13],[2,5,7,8,10,12,13],[3,4,5,6,7,12,13],[3,4,5,8,9,10,14],[3,4,5,11,12,13,14],[3,4,7,9,10,11,13],[3,5,6,8,10,11,12],[3,6,7,8,9,10,14]]; G[239]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 240: autom. group order 2, simple, residual B[240]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,10,12,13],[1,4,7,8,9,11,12],[1,5,6,9,10,13,14],[1,5,7,8,11,13,14],[1,5,7,9,10,11,12],[2,3,7,9,11,13,14],[2,4,6,8,10,11,13],[2,4,6,9,11,12,14],[2,4,7,8,10,12,14],[2,5,6,7,9,12,14],[2,5,6,8,9,11,13],[2,5,7,8,10,12,13],[3,4,5,6,7,12,13],[3,4,5,8,9,10,14],[3,4,5,11,12,13,14],[3,4,7,9,10,11,13],[3,5,6,8,10,11,12],[3,6,7,8,9,10,14]]; G[240]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 241: autom. group order 2, simple, residual B[241]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,10,11,12],[1,4,7,8,9,11,13],[1,5,6,9,11,13,14],[1,5,7,8,10,12,14],[1,5,7,9,10,12,13],[2,3,7,9,11,13,14],[2,4,6,8,10,12,13],[2,4,6,9,10,13,14],[2,4,7,8,11,12,14],[2,5,6,7,9,12,14],[2,5,6,8,9,11,12],[2,5,7,8,10,11,13],[3,4,5,6,7,12,13],[3,4,5,8,9,10,14],[3,4,5,11,12,13,14],[3,4,7,9,10,11,12],[3,5,6,8,10,11,13],[3,6,7,8,9,10,14]]; G[241]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 242: autom. group order 2, simple, residual B[242]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,10,11,13],[1,4,7,8,9,11,12],[1,5,6,9,11,12,14],[1,5,7,8,10,12,13],[1,5,7,9,10,13,14],[2,3,7,9,11,13,14],[2,4,6,8,10,12,14],[2,4,6,9,10,12,13],[2,4,7,8,11,13,14],[2,5,6,7,9,12,14],[2,5,6,8,9,11,13],[2,5,7,8,10,11,12],[3,4,5,6,7,12,13],[3,4,5,8,9,10,14],[3,4,5,11,12,13,14],[3,4,7,9,10,11,12],[3,5,6,8,10,11,13],[3,6,7,8,9,10,14]]; G[242]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 243: autom. group order 2, simple, residual B[243]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,10,12,13],[1,4,7,8,9,11,12],[1,5,6,9,11,13,14],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[2,3,7,9,11,13,14],[2,4,6,8,10,13,14],[2,4,6,9,10,11,12],[2,4,7,8,11,12,14],[2,5,6,7,9,12,14],[2,5,6,8,9,11,13],[2,5,7,8,10,12,13],[3,4,5,6,7,12,13],[3,4,5,8,9,10,14],[3,4,5,11,12,13,14],[3,4,7,9,10,11,13],[3,5,6,8,10,11,12],[3,6,7,8,9,10,14]]; G[243]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 244: autom. group order 2, simple, residual B[244]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,10,12,13],[1,4,7,8,9,11,12],[1,5,6,9,11,13,14],[1,5,7,8,10,13,14],[1,5,7,9,10,11,12],[2,3,7,9,11,13,14],[2,4,6,8,10,11,13],[2,4,6,9,10,12,14],[2,4,7,8,11,12,14],[2,5,6,7,9,12,14],[2,5,6,8,9,11,13],[2,5,7,8,10,12,13],[3,4,5,6,7,12,13],[3,4,5,8,9,10,14],[3,4,5,11,12,13,14],[3,4,7,9,10,11,13],[3,5,6,8,10,11,12],[3,6,7,8,9,10,14]]; G[244]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 245: autom. group order 2, simple B[245]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,12],[1,5,6,9,10,11,13],[1,5,7,8,10,13,14],[1,5,7,9,11,12,14],[2,3,7,9,11,13,14],[2,4,6,8,11,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,11,12],[2,5,6,7,9,12,14],[2,5,6,8,9,10,13],[2,5,7,8,11,12,13],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,12,13,14],[3,4,7,9,10,11,13],[3,5,6,8,10,11,12],[3,6,7,8,9,10,14]]; G[245]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 246: autom. group order 2, simple B[246]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,10,11,14],[1,3,6,8,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,12],[1,5,6,9,10,13,14],[1,5,7,8,10,11,13],[1,5,7,9,11,12,14],[2,3,7,9,11,13,14],[2,4,6,8,11,13,14],[2,4,6,9,10,11,12],[2,4,7,8,10,12,14],[2,5,6,7,9,12,14],[2,5,6,8,9,10,13],[2,5,7,8,11,12,13],[3,4,5,6,7,12,13],[3,4,5,8,9,11,14],[3,4,5,10,12,13,14],[3,4,7,9,10,11,13],[3,5,6,8,10,11,12],[3,6,7,8,9,10,14]]; G[246]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 247: autom. group order 2, simple, residual B[247]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,8,10,12],[1,4,6,9,11,12,13],[1,4,7,8,9,11,14],[1,5,6,9,10,11,13],[1,5,7,8,11,12,14],[1,5,7,9,10,13,14],[2,3,7,9,11,13,14],[2,4,6,8,11,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,11,13],[2,5,6,7,9,11,12],[2,5,6,8,9,10,14],[2,5,7,8,10,12,13],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,11,12,14],[3,6,7,8,9,12,13]]; G[247]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 248: autom. group order 2, simple B[248]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,8,10,12],[1,4,6,9,11,12,13],[1,4,7,8,9,11,14],[1,5,6,9,10,11,13],[1,5,7,8,11,12,14],[1,5,7,9,10,13,14],[2,3,7,9,11,13,14],[2,4,6,8,11,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,11,13],[2,5,6,7,9,11,12],[2,5,6,8,9,10,14],[2,5,7,8,10,12,13],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,14],[3,4,7,9,10,12,13],[3,5,6,8,11,12,13],[3,6,7,8,9,12,14]]; G[248]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 249: autom. group order 2, simple, residual B[249]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,8,10,12],[1,4,6,9,11,12,14],[1,4,7,8,9,11,14],[1,5,6,9,10,11,13],[1,5,7,8,11,12,13],[1,5,7,9,10,13,14],[2,3,7,9,11,13,14],[2,4,6,8,11,13,14],[2,4,6,9,10,12,13],[2,4,7,8,10,11,13],[2,5,6,7,9,11,12],[2,5,6,8,9,10,14],[2,5,7,8,10,12,14],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,11,12,14],[3,6,7,8,9,12,13]]; G[249]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 250: autom. group order 2, simple B[250]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,8,10,12],[1,4,6,9,11,12,14],[1,4,7,8,9,11,14],[1,5,6,9,10,11,13],[1,5,7,8,11,12,13],[1,5,7,9,10,13,14],[2,3,7,9,11,13,14],[2,4,6,8,11,13,14],[2,4,6,9,10,12,13],[2,4,7,8,10,11,13],[2,5,6,7,9,11,12],[2,5,6,8,9,10,14],[2,5,7,8,10,12,14],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,14],[3,4,7,9,10,12,13],[3,5,6,8,11,12,13],[3,6,7,8,9,12,14]]; G[250]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 251: autom. group order 2, simple, residual B[251]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,8,10,12],[1,4,6,9,11,12,13],[1,4,7,8,9,11,14],[1,5,6,9,10,11,13],[1,5,7,8,11,13,14],[1,5,7,9,10,12,14],[2,3,7,9,11,13,14],[2,4,6,8,11,12,14],[2,4,6,9,10,13,14],[2,4,7,8,10,11,13],[2,5,6,7,9,11,12],[2,5,6,8,9,10,14],[2,5,7,8,10,12,13],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,11,12,14],[3,6,7,8,9,12,13]]; G[251]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 252: autom. group order 2, simple B[252]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,8,10,12],[1,4,6,9,11,12,13],[1,4,7,8,9,11,14],[1,5,6,9,10,11,13],[1,5,7,8,11,13,14],[1,5,7,9,10,12,14],[2,3,7,9,11,13,14],[2,4,6,8,11,12,14],[2,4,6,9,10,13,14],[2,4,7,8,10,11,13],[2,5,6,7,9,11,12],[2,5,6,8,9,10,14],[2,5,7,8,10,12,13],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,14],[3,4,7,9,10,12,13],[3,5,6,8,11,12,13],[3,6,7,8,9,12,14]]; G[252]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 253: autom. group order 2, simple, residual B[253]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,8,10,12],[1,4,6,9,11,12,14],[1,4,7,8,9,11,14],[1,5,6,9,10,11,13],[1,5,7,8,11,13,14],[1,5,7,9,10,12,13],[2,3,7,9,11,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,13,14],[2,4,7,8,10,11,13],[2,5,6,7,9,11,12],[2,5,6,8,9,10,14],[2,5,7,8,10,12,14],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,11,12,14],[3,6,7,8,9,12,13]]; G[253]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 254: autom. group order 2, simple B[254]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,8,10,12],[1,4,6,9,11,12,14],[1,4,7,8,9,11,14],[1,5,6,9,10,11,13],[1,5,7,8,11,13,14],[1,5,7,9,10,12,13],[2,3,7,9,11,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,13,14],[2,4,7,8,10,11,13],[2,5,6,7,9,11,12],[2,5,6,8,9,10,14],[2,5,7,8,10,12,14],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,14],[3,4,7,9,10,12,13],[3,5,6,8,11,12,13],[3,6,7,8,9,12,14]]; G[254]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 255: autom. group order 2, simple, residual B[255]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,8,10,12],[1,4,6,9,11,13,14],[1,4,7,8,9,11,14],[1,5,6,9,10,11,13],[1,5,7,8,11,12,13],[1,5,7,9,10,12,14],[2,3,7,9,11,13,14],[2,4,6,8,11,12,14],[2,4,6,9,10,12,13],[2,4,7,8,10,11,13],[2,5,6,7,9,11,12],[2,5,6,8,9,10,14],[2,5,7,8,10,13,14],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,11,12,14],[3,6,7,8,9,12,13]]; G[255]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 256: autom. group order 2, simple B[256]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,8,10,12],[1,4,6,9,11,13,14],[1,4,7,8,9,11,14],[1,5,6,9,10,11,13],[1,5,7,8,11,12,13],[1,5,7,9,10,12,14],[2,3,7,9,11,13,14],[2,4,6,8,11,12,14],[2,4,6,9,10,12,13],[2,4,7,8,10,11,13],[2,5,6,7,9,11,12],[2,5,6,8,9,10,14],[2,5,7,8,10,13,14],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,14],[3,4,7,9,10,12,13],[3,5,6,8,11,12,13],[3,6,7,8,9,12,14]]; G[256]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 257: autom. group order 2, simple, residual B[257]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,8,10,12],[1,4,6,9,11,13,14],[1,4,7,8,9,11,14],[1,5,6,9,10,11,13],[1,5,7,8,11,12,14],[1,5,7,9,10,12,13],[2,3,7,9,11,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,12,14],[2,4,7,8,10,11,13],[2,5,6,7,9,11,12],[2,5,6,8,9,10,14],[2,5,7,8,10,13,14],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,11,12,14],[3,6,7,8,9,12,13]]; G[257]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 258: autom. group order 2, simple B[258]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,8,10,12],[1,4,6,9,11,13,14],[1,4,7,8,9,11,14],[1,5,6,9,10,11,13],[1,5,7,8,11,12,14],[1,5,7,9,10,12,13],[2,3,7,9,11,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,12,14],[2,4,7,8,10,11,13],[2,5,6,7,9,11,12],[2,5,6,8,9,10,14],[2,5,7,8,10,13,14],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,14],[3,4,7,9,10,12,13],[3,5,6,8,11,12,13],[3,6,7,8,9,12,14]]; G[258]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 259: autom. group order 2, simple, residual B[259]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,8,10,13],[1,4,6,9,11,12,13],[1,4,7,8,9,11,14],[1,5,6,9,10,11,12],[1,5,7,8,11,12,14],[1,5,7,9,10,13,14],[2,3,7,9,11,13,14],[2,4,6,8,11,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,11,12],[2,5,6,7,9,11,13],[2,5,6,8,9,10,14],[2,5,7,8,10,12,13],[3,4,5,6,7,12,14],[3,4,5,8,9,10,11],[3,4,5,10,11,13,14],[3,4,7,9,10,12,13],[3,5,6,8,11,12,13],[3,6,7,8,9,12,14]]; G[259]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 260: autom. group order 2, simple, residual B[260]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,8,10,13],[1,4,6,9,11,12,14],[1,4,7,8,9,11,14],[1,5,6,9,10,11,12],[1,5,7,8,11,12,13],[1,5,7,9,10,13,14],[2,3,7,9,11,13,14],[2,4,6,8,11,13,14],[2,4,6,9,10,12,13],[2,4,7,8,10,11,12],[2,5,6,7,9,11,13],[2,5,6,8,9,10,14],[2,5,7,8,10,12,14],[3,4,5,6,7,12,14],[3,4,5,8,9,10,11],[3,4,5,10,11,13,14],[3,4,7,9,10,12,13],[3,5,6,8,11,12,13],[3,6,7,8,9,12,14]]; G[260]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 261: autom. group order 2, simple, residual B[261]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,8,10,13],[1,4,6,9,11,12,13],[1,4,7,8,9,11,14],[1,5,6,9,10,11,12],[1,5,7,8,11,13,14],[1,5,7,9,10,12,14],[2,3,7,9,11,13,14],[2,4,6,8,11,12,14],[2,4,6,9,10,13,14],[2,4,7,8,10,11,12],[2,5,6,7,9,11,13],[2,5,6,8,9,10,14],[2,5,7,8,10,12,13],[3,4,5,6,7,12,14],[3,4,5,8,9,10,11],[3,4,5,10,11,13,14],[3,4,7,9,10,12,13],[3,5,6,8,11,12,13],[3,6,7,8,9,12,14]]; G[261]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 262: autom. group order 2, simple, residual B[262]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,8,10,13],[1,4,6,9,11,12,14],[1,4,7,8,9,11,14],[1,5,6,9,10,11,12],[1,5,7,8,11,13,14],[1,5,7,9,10,12,13],[2,3,7,9,11,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,13,14],[2,4,7,8,10,11,12],[2,5,6,7,9,11,13],[2,5,6,8,9,10,14],[2,5,7,8,10,12,14],[3,4,5,6,7,12,14],[3,4,5,8,9,10,11],[3,4,5,10,11,13,14],[3,4,7,9,10,12,13],[3,5,6,8,11,12,13],[3,6,7,8,9,12,14]]; G[262]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 263: autom. group order 2, simple, residual B[263]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,8,10,13],[1,4,6,9,11,13,14],[1,4,7,8,9,11,14],[1,5,6,9,10,11,12],[1,5,7,8,11,12,13],[1,5,7,9,10,12,14],[2,3,7,9,11,13,14],[2,4,6,8,11,12,14],[2,4,6,9,10,12,13],[2,4,7,8,10,11,12],[2,5,6,7,9,11,13],[2,5,6,8,9,10,14],[2,5,7,8,10,13,14],[3,4,5,6,7,12,14],[3,4,5,8,9,10,11],[3,4,5,10,11,13,14],[3,4,7,9,10,12,13],[3,5,6,8,11,12,13],[3,6,7,8,9,12,14]]; G[263]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 264: autom. group order 2, simple, residual B[264]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,8,10,13],[1,4,6,9,11,13,14],[1,4,7,8,9,11,14],[1,5,6,9,10,11,12],[1,5,7,8,11,12,14],[1,5,7,9,10,12,13],[2,3,7,9,11,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,12,14],[2,4,7,8,10,11,12],[2,5,6,7,9,11,13],[2,5,6,8,9,10,14],[2,5,7,8,10,13,14],[3,4,5,6,7,12,14],[3,4,5,8,9,10,11],[3,4,5,10,11,13,14],[3,4,7,9,10,12,13],[3,5,6,8,11,12,13],[3,6,7,8,9,12,14]]; G[264]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 265: autom. group order 2, simple, residual B[265]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,8,11,12],[1,4,6,9,10,11,13],[1,4,7,8,9,10,14],[1,5,6,9,11,12,13],[1,5,7,8,11,12,14],[1,5,7,9,10,13,14],[2,3,7,9,11,13,14],[2,4,6,8,11,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,10,12],[2,5,6,8,9,11,14],[2,5,7,8,10,11,13],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,13],[3,4,7,9,11,12,14],[3,5,6,8,10,12,14],[3,6,7,8,9,12,13]]; G[265]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 266: autom. group order 2, simple B[266]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,8,11,12],[1,4,6,9,10,11,13],[1,4,7,8,9,10,14],[1,5,6,9,11,12,13],[1,5,7,8,11,12,14],[1,5,7,9,10,13,14],[2,3,7,9,11,13,14],[2,4,6,8,11,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,10,12],[2,5,6,8,9,11,14],[2,5,7,8,10,11,13],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,14],[3,4,7,9,11,12,13],[3,5,6,8,10,12,13],[3,6,7,8,9,12,14]]; G[266]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 267: autom. group order 2, simple, residual B[267]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,8,11,12],[1,4,6,9,10,11,13],[1,4,7,8,9,10,14],[1,5,6,9,11,12,14],[1,5,7,8,11,12,13],[1,5,7,9,10,13,14],[2,3,7,9,11,13,14],[2,4,6,8,11,13,14],[2,4,6,9,10,12,13],[2,4,7,8,10,12,14],[2,5,6,7,9,10,12],[2,5,6,8,9,11,14],[2,5,7,8,10,11,13],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,13],[3,4,7,9,11,12,14],[3,5,6,8,10,12,14],[3,6,7,8,9,12,13]]; G[267]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 268: autom. group order 2, simple B[268]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,8,11,12],[1,4,6,9,10,11,13],[1,4,7,8,9,10,14],[1,5,6,9,11,12,14],[1,5,7,8,11,12,13],[1,5,7,9,10,13,14],[2,3,7,9,11,13,14],[2,4,6,8,11,13,14],[2,4,6,9,10,12,13],[2,4,7,8,10,12,14],[2,5,6,7,9,10,12],[2,5,6,8,9,11,14],[2,5,7,8,10,11,13],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,14],[3,4,7,9,11,12,13],[3,5,6,8,10,12,13],[3,6,7,8,9,12,14]]; G[268]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 269: autom. group order 2, simple, residual B[269]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,8,11,12],[1,4,6,9,10,11,13],[1,4,7,8,9,10,14],[1,5,6,9,11,12,13],[1,5,7,8,11,13,14],[1,5,7,9,10,12,14],[2,3,7,9,11,13,14],[2,4,6,8,11,12,14],[2,4,6,9,10,13,14],[2,4,7,8,10,12,13],[2,5,6,7,9,10,12],[2,5,6,8,9,11,14],[2,5,7,8,10,11,13],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,13],[3,4,7,9,11,12,14],[3,5,6,8,10,12,14],[3,6,7,8,9,12,13]]; G[269]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 270: autom. group order 2, simple, residual B[270]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,8,11,12],[1,4,6,9,10,11,13],[1,4,7,8,9,10,14],[1,5,6,9,11,12,14],[1,5,7,8,11,13,14],[1,5,7,9,10,12,13],[2,3,7,9,11,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,13,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,12],[2,5,6,8,9,11,14],[2,5,7,8,10,11,13],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,13],[3,4,7,9,11,12,14],[3,5,6,8,10,12,14],[3,6,7,8,9,12,13]]; G[270]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 271: autom. group order 2, simple, residual B[271]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,8,11,12],[1,4,6,9,10,11,13],[1,4,7,8,9,10,14],[1,5,6,9,11,13,14],[1,5,7,8,11,12,13],[1,5,7,9,10,12,14],[2,3,7,9,11,13,14],[2,4,6,8,11,12,14],[2,4,6,9,10,12,13],[2,4,7,8,10,13,14],[2,5,6,7,9,10,12],[2,5,6,8,9,11,14],[2,5,7,8,10,11,13],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,13],[3,4,7,9,11,12,14],[3,5,6,8,10,12,14],[3,6,7,8,9,12,13]]; G[271]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 272: autom. group order 2, simple, residual B[272]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,8,11,12],[1,4,6,9,10,11,13],[1,4,7,8,9,10,14],[1,5,6,9,11,13,14],[1,5,7,8,11,12,14],[1,5,7,9,10,12,13],[2,3,7,9,11,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,12,14],[2,4,7,8,10,13,14],[2,5,6,7,9,10,12],[2,5,6,8,9,11,14],[2,5,7,8,10,11,13],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,13],[3,4,7,9,11,12,14],[3,5,6,8,10,12,14],[3,6,7,8,9,12,13]]; G[272]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 273: autom. group order 2, simple, residual B[273]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,8,11,12],[1,4,6,9,10,12,13],[1,4,7,8,9,11,14],[1,5,6,9,11,12,14],[1,5,7,8,10,13,14],[1,5,7,9,10,11,13],[2,3,7,9,11,13,14],[2,4,6,8,10,11,13],[2,4,6,9,11,13,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,12],[2,5,6,8,9,10,14],[2,5,7,8,11,12,13],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,11,12,14],[3,6,7,8,9,12,13]]; G[273]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 274: autom. group order 2, simple B[274]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,8,11,12],[1,4,6,9,10,12,13],[1,4,7,8,9,11,14],[1,5,6,9,11,12,14],[1,5,7,8,10,13,14],[1,5,7,9,10,11,13],[2,3,7,9,11,13,14],[2,4,6,8,10,11,13],[2,4,6,9,11,13,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,12],[2,5,6,8,9,10,14],[2,5,7,8,11,12,13],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,14],[3,4,7,9,10,12,13],[3,5,6,8,11,12,13],[3,6,7,8,9,12,14]]; G[274]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 275: autom. group order 2, simple, residual B[275]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,8,11,12],[1,4,6,9,10,12,14],[1,4,7,8,9,11,14],[1,5,6,9,11,12,13],[1,5,7,8,10,13,14],[1,5,7,9,10,11,13],[2,3,7,9,11,13,14],[2,4,6,8,10,11,13],[2,4,6,9,11,13,14],[2,4,7,8,10,12,13],[2,5,6,7,9,10,12],[2,5,6,8,9,10,14],[2,5,7,8,11,12,14],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,11,12,14],[3,6,7,8,9,12,13]]; G[275]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 276: autom. group order 2, simple, residual B[276]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,8,11,12],[1,4,6,9,10,12,13],[1,4,7,8,9,11,14],[1,5,6,9,11,13,14],[1,5,7,8,10,12,14],[1,5,7,9,10,11,13],[2,3,7,9,11,13,14],[2,4,6,8,10,11,13],[2,4,6,9,11,12,14],[2,4,7,8,10,13,14],[2,5,6,7,9,10,12],[2,5,6,8,9,10,14],[2,5,7,8,11,12,13],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,11,12,14],[3,6,7,8,9,12,13]]; G[276]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 277: autom. group order 2, simple B[277]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,8,11,12],[1,4,6,9,10,12,13],[1,4,7,8,9,11,14],[1,5,6,9,11,13,14],[1,5,7,8,10,12,14],[1,5,7,9,10,11,13],[2,3,7,9,11,13,14],[2,4,6,8,10,11,13],[2,4,6,9,11,12,14],[2,4,7,8,10,13,14],[2,5,6,7,9,10,12],[2,5,6,8,9,10,14],[2,5,7,8,11,12,13],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,14],[3,4,7,9,10,12,13],[3,5,6,8,11,12,13],[3,6,7,8,9,12,14]]; G[277]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 278: autom. group order 2, simple, residual B[278]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,8,11,12],[1,4,6,9,10,12,14],[1,4,7,8,9,11,14],[1,5,6,9,11,13,14],[1,5,7,8,10,12,13],[1,5,7,9,10,11,13],[2,3,7,9,11,13,14],[2,4,6,8,10,11,13],[2,4,6,9,11,12,13],[2,4,7,8,10,13,14],[2,5,6,7,9,10,12],[2,5,6,8,9,10,14],[2,5,7,8,11,12,14],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,11,12,14],[3,6,7,8,9,12,13]]; G[278]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 279: autom. group order 2, simple, residual B[279]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,8,11,12],[1,4,6,9,10,13,14],[1,4,7,8,9,11,14],[1,5,6,9,11,12,13],[1,5,7,8,10,12,14],[1,5,7,9,10,11,13],[2,3,7,9,11,13,14],[2,4,6,8,10,11,13],[2,4,6,9,11,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,10,12],[2,5,6,8,9,10,14],[2,5,7,8,11,13,14],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,11,12,14],[3,6,7,8,9,12,13]]; G[279]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 280: autom. group order 2, simple, residual B[280]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,12,13,14],[1,3,6,8,10,13,14],[1,4,6,7,8,11,12],[1,4,6,9,10,13,14],[1,4,7,8,9,11,14],[1,5,6,9,11,12,14],[1,5,7,8,10,12,13],[1,5,7,9,10,11,13],[2,3,7,9,11,13,14],[2,4,6,8,10,11,13],[2,4,6,9,11,12,13],[2,4,7,8,10,12,14],[2,5,6,7,9,10,12],[2,5,6,8,9,10,14],[2,5,7,8,11,13,14],[3,4,5,6,7,13,14],[3,4,5,8,9,10,11],[3,4,5,10,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,11,12,14],[3,6,7,8,9,12,13]]; G[280]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 281: autom. group order 2, simple B[281]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,11,12],[1,2,3,9,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,12,13,14],[1,4,6,9,10,11,13],[1,4,6,9,10,12,14],[1,4,7,8,11,13,14],[1,5,6,7,11,12,14],[1,5,7,8,9,10,13],[1,5,7,8,9,11,12],[2,3,7,9,11,13,14],[2,4,6,7,8,9,14],[2,4,6,8,9,11,12],[2,4,7,10,11,12,13],[2,5,6,8,10,12,13],[2,5,6,8,11,13,14],[2,5,7,9,10,12,14],[3,4,5,6,7,12,13],[3,4,5,8,10,11,14],[3,4,5,9,11,12,13],[3,4,7,8,10,12,14],[3,5,6,9,10,11,14],[3,6,7,8,9,10,13]]; G[281]:=Group([(1,5)(2,4)(8,9)(10,13)(11,12)]); # Design 282: autom. group order 2, simple B[282]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,10,13,14],[1,3,6,8,11,13,14],[1,4,6,9,10,11,14],[1,4,6,9,10,12,13],[1,4,7,8,12,13,14],[1,5,6,7,11,12,13],[1,5,7,8,9,10,14],[1,5,7,8,9,11,12],[2,3,7,9,12,13,14],[2,4,6,7,8,9,13],[2,4,6,8,9,11,12],[2,4,7,10,11,12,14],[2,5,6,8,10,12,14],[2,5,6,8,11,13,14],[2,5,7,9,10,11,13],[3,4,5,6,7,12,14],[3,4,5,8,10,11,12],[3,4,5,9,11,13,14],[3,4,7,8,10,11,13],[3,5,6,9,10,12,13],[3,6,7,8,9,10,14]]; G[282]:=Group([(1,5)(2,4)(8,9)(10,14)(11,12)]); # Design 283: autom. group order 2, simple B[283]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,11,13,14],[1,3,6,8,12,13,14],[1,4,6,9,10,13,14],[1,4,6,9,11,12,13],[1,4,7,8,10,11,14],[1,5,6,7,10,12,14],[1,5,7,8,9,10,12],[1,5,7,8,9,11,13],[2,3,7,9,10,13,14],[2,4,6,7,8,9,14],[2,4,6,8,9,10,12],[2,4,7,10,11,12,13],[2,5,6,8,10,11,13],[2,5,6,8,11,12,14],[2,5,7,9,12,13,14],[3,4,5,6,7,12,13],[3,4,5,8,10,13,14],[3,4,5,9,10,11,12],[3,4,7,8,11,12,14],[3,5,6,9,10,11,14],[3,6,7,8,9,11,13]]; G[283]:=Group([(1,5)(2,4)(8,9)(10,12)(11,13)]); # Design 284: autom. group order 2, simple B[284]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,3,9,10,11,12],[1,2,4,5,10,13,14],[1,3,6,8,11,13,14],[1,4,6,9,10,12,13],[1,4,6,9,11,13,14],[1,4,7,8,10,12,14],[1,5,6,7,11,12,14],[1,5,7,8,9,10,13],[1,5,7,8,9,11,12],[2,3,7,9,12,13,14],[2,4,6,7,8,9,14],[2,4,6,8,9,11,12],[2,4,7,10,11,12,13],[2,5,6,8,10,11,13],[2,5,6,8,10,12,14],[2,5,7,9,11,13,14],[3,4,5,6,7,12,13],[3,4,5,8,11,12,13],[3,4,5,9,10,11,14],[3,4,7,8,10,11,14],[3,5,6,9,10,12,14],[3,6,7,8,9,10,13]]; G[284]:=Group([(1,5)(2,4)(8,9)(10,13)(11,12)]); # Design 285: autom. group order 2, simple, residual B[285]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,11,12],[1,2,3,9,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,12,13,14],[1,4,6,9,10,11,13],[1,4,6,9,10,12,14],[1,4,7,8,11,13,14],[1,5,6,7,8,9,14],[1,5,7,8,9,11,12],[1,5,7,10,11,12,13],[2,3,7,9,11,13,14],[2,4,6,7,11,12,14],[2,4,6,8,9,11,12],[2,4,7,8,9,10,13],[2,5,6,8,10,12,13],[2,5,6,8,11,13,14],[2,5,7,9,10,12,14],[3,4,5,6,7,12,13],[3,4,5,8,10,11,14],[3,4,5,9,11,12,13],[3,4,7,8,10,12,14],[3,5,6,9,10,11,14],[3,6,7,8,9,10,13]]; G[285]:=Group([(1,5)(2,4)(8,9)(10,13)(11,12)]); # Design 286: autom. group order 2, simple, residual B[286]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,10,13,14],[1,3,6,8,11,13,14],[1,4,6,9,10,11,14],[1,4,6,9,10,12,13],[1,4,7,8,12,13,14],[1,5,6,7,8,9,13],[1,5,7,8,9,11,12],[1,5,7,10,11,12,14],[2,3,7,9,12,13,14],[2,4,6,7,11,12,13],[2,4,6,8,9,11,12],[2,4,7,8,9,10,14],[2,5,6,8,10,12,14],[2,5,6,8,11,13,14],[2,5,7,9,10,11,13],[3,4,5,6,7,12,14],[3,4,5,8,10,11,12],[3,4,5,9,11,13,14],[3,4,7,8,10,11,13],[3,5,6,9,10,12,13],[3,6,7,8,9,10,14]]; G[286]:=Group([(1,5)(2,4)(8,9)(10,14)(11,12)]); # Design 287: autom. group order 2, simple, residual B[287]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,11,13,14],[1,3,6,8,12,13,14],[1,4,6,9,10,13,14],[1,4,6,9,11,12,13],[1,4,7,8,10,11,14],[1,5,6,7,8,9,14],[1,5,7,8,9,10,12],[1,5,7,10,11,12,13],[2,3,7,9,10,13,14],[2,4,6,7,10,12,14],[2,4,6,8,9,10,12],[2,4,7,8,9,11,13],[2,5,6,8,10,11,13],[2,5,6,8,11,12,14],[2,5,7,9,12,13,14],[3,4,5,6,7,12,13],[3,4,5,8,10,13,14],[3,4,5,9,10,11,12],[3,4,7,8,11,12,14],[3,5,6,9,10,11,14],[3,6,7,8,9,11,13]]; G[287]:=Group([(1,5)(2,4)(8,9)(10,12)(11,13)]); # Design 288: autom. group order 2, simple, residual B[288]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,3,9,10,11,12],[1,2,4,5,10,13,14],[1,3,6,8,11,13,14],[1,4,6,9,10,12,13],[1,4,6,9,11,13,14],[1,4,7,8,10,12,14],[1,5,6,7,8,9,14],[1,5,7,8,9,11,12],[1,5,7,10,11,12,13],[2,3,7,9,12,13,14],[2,4,6,7,11,12,14],[2,4,6,8,9,11,12],[2,4,7,8,9,10,13],[2,5,6,8,10,11,13],[2,5,6,8,10,12,14],[2,5,7,9,11,13,14],[3,4,5,6,7,12,13],[3,4,5,8,11,12,13],[3,4,5,9,10,11,14],[3,4,7,8,10,11,14],[3,5,6,9,10,12,14],[3,6,7,8,9,10,13]]; G[288]:=Group([(1,5)(2,4)(8,9)(10,13)(11,12)]); # Design 289: autom. group order 2, simple B[289]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,11,12],[1,2,3,9,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,12,13,14],[1,4,6,8,11,13,14],[1,4,6,9,10,11,13],[1,4,7,9,10,12,14],[1,5,6,7,11,12,14],[1,5,7,8,9,10,13],[1,5,7,8,9,11,12],[2,3,7,9,11,13,14],[2,4,6,7,8,9,14],[2,4,6,8,9,11,12],[2,4,7,10,11,12,13],[2,5,6,8,10,12,13],[2,5,6,9,10,12,14],[2,5,7,8,11,13,14],[3,4,5,6,7,12,13],[3,4,5,8,10,11,14],[3,4,5,9,11,12,13],[3,4,7,8,10,12,14],[3,5,6,9,10,11,14],[3,6,7,8,9,10,13]]; G[289]:=Group([(1,5)(2,4)(8,9)(10,13)(11,12)]); # Design 290: autom. group order 2, simple B[290]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,10,13,14],[1,3,6,8,11,13,14],[1,4,6,8,12,13,14],[1,4,6,9,10,11,14],[1,4,7,9,10,12,13],[1,5,6,7,11,12,13],[1,5,7,8,9,10,14],[1,5,7,8,9,11,12],[2,3,7,9,12,13,14],[2,4,6,7,8,9,13],[2,4,6,8,9,11,12],[2,4,7,10,11,12,14],[2,5,6,8,10,12,14],[2,5,6,9,10,11,13],[2,5,7,8,11,13,14],[3,4,5,6,7,12,14],[3,4,5,8,10,11,12],[3,4,5,9,11,13,14],[3,4,7,8,10,11,13],[3,5,6,9,10,12,13],[3,6,7,8,9,10,14]]; G[290]:=Group([(1,5)(2,4)(8,9)(10,14)(11,12)]); # Design 291: autom. group order 2, simple B[291]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,5,11,12,14],[1,3,6,8,11,13,14],[1,4,6,8,10,11,12],[1,4,6,9,10,12,14],[1,4,7,9,11,13,14],[1,5,6,7,10,13,14],[1,5,7,8,9,10,13],[1,5,7,8,9,11,12],[2,3,7,9,10,11,14],[2,4,6,7,8,9,14],[2,4,6,8,9,10,13],[2,4,7,10,11,12,13],[2,5,6,8,11,13,14],[2,5,6,9,11,12,13],[2,5,7,8,10,12,14],[3,4,5,6,7,12,13],[3,4,5,8,10,11,14],[3,4,5,9,10,11,13],[3,4,7,8,12,13,14],[3,5,6,9,10,12,14],[3,6,7,8,9,11,12]]; G[291]:=Group([(1,5)(2,4)(8,9)(10,13)(11,12)]); # Design 292: autom. group order 2, simple B[292]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,11,13,14],[1,3,6,8,12,13,14],[1,4,6,8,10,11,14],[1,4,6,9,11,12,13],[1,4,7,9,10,13,14],[1,5,6,7,10,12,14],[1,5,7,8,9,10,12],[1,5,7,8,9,11,13],[2,3,7,9,10,13,14],[2,4,6,7,8,9,14],[2,4,6,8,9,10,12],[2,4,7,10,11,12,13],[2,5,6,8,10,11,13],[2,5,6,9,12,13,14],[2,5,7,8,11,12,14],[3,4,5,6,7,12,13],[3,4,5,8,10,13,14],[3,4,5,9,10,11,12],[3,4,7,8,11,12,14],[3,5,6,9,10,11,14],[3,6,7,8,9,11,13]]; G[292]:=Group([(1,5)(2,4)(8,9)(10,12)(11,13)]); # Design 293: autom. group order 2, simple B[293]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,5,11,12,14],[1,3,6,8,11,13,14],[1,4,6,8,10,11,12],[1,4,6,9,11,13,14],[1,4,7,9,10,12,14],[1,5,6,7,10,13,14],[1,5,7,8,9,10,13],[1,5,7,8,9,11,12],[2,3,7,9,10,11,14],[2,4,6,7,8,9,14],[2,4,6,8,9,10,13],[2,4,7,10,11,12,13],[2,5,6,8,10,12,14],[2,5,6,9,11,12,13],[2,5,7,8,11,13,14],[3,4,5,6,7,12,13],[3,4,5,8,10,11,14],[3,4,5,9,10,11,13],[3,4,7,8,12,13,14],[3,5,6,9,10,12,14],[3,6,7,8,9,11,12]]; G[293]:=Group([(1,5)(2,4)(8,9)(10,13)(11,12)]); # Design 294: autom. group order 2, simple B[294]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,3,9,10,11,12],[1,2,4,5,10,13,14],[1,3,6,8,11,13,14],[1,4,6,8,10,12,13],[1,4,6,9,10,12,14],[1,4,7,9,11,13,14],[1,5,6,7,11,12,13],[1,5,7,8,9,10,14],[1,5,7,8,9,11,12],[2,3,7,9,12,13,14],[2,4,6,7,8,9,13],[2,4,6,8,9,11,12],[2,4,7,10,11,12,14],[2,5,6,8,10,11,14],[2,5,6,9,11,13,14],[2,5,7,8,10,12,13],[3,4,5,6,7,12,14],[3,4,5,8,11,12,14],[3,4,5,9,10,11,13],[3,4,7,8,10,11,13],[3,5,6,9,10,12,13],[3,6,7,8,9,10,14]]; G[294]:=Group([(1,5)(2,4)(8,9)(10,14)(11,12)]); # Design 295: autom. group order 2, simple B[295]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,3,9,10,12,13],[1,2,4,5,11,12,14],[1,3,6,8,10,11,14],[1,4,6,8,11,12,13],[1,4,6,9,10,12,14],[1,4,7,9,11,13,14],[1,5,6,7,10,13,14],[1,5,7,8,9,10,13],[1,5,7,8,9,11,12],[2,3,7,9,11,13,14],[2,4,6,7,8,9,14],[2,4,6,8,9,10,13],[2,4,7,10,11,12,13],[2,5,6,8,11,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,12,14],[3,4,5,6,7,12,13],[3,4,5,8,10,11,13],[3,4,5,9,10,11,14],[3,4,7,8,10,12,14],[3,5,6,9,12,13,14],[3,6,7,8,9,11,12]]; G[295]:=Group([(1,5)(2,4)(8,9)(10,13)(11,12)]); # Design 296: autom. group order 2, simple B[296]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,3,9,10,12,13],[1,2,4,5,11,12,14],[1,3,6,8,10,11,14],[1,4,6,8,11,12,13],[1,4,6,9,11,13,14],[1,4,7,9,10,12,14],[1,5,6,7,10,13,14],[1,5,7,8,9,10,13],[1,5,7,8,9,11,12],[2,3,7,9,11,13,14],[2,4,6,7,8,9,14],[2,4,6,8,9,10,13],[2,4,7,10,11,12,13],[2,5,6,8,10,12,14],[2,5,6,9,10,11,12],[2,5,7,8,11,13,14],[3,4,5,6,7,12,13],[3,4,5,8,10,11,13],[3,4,5,9,10,11,14],[3,4,7,8,10,12,14],[3,5,6,9,12,13,14],[3,6,7,8,9,11,12]]; G[296]:=Group([(1,5)(2,4)(8,9)(10,13)(11,12)]); # Design 297: autom. group order 2, simple, residual B[297]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,11,12],[1,2,3,9,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,12,13,14],[1,4,6,8,11,13,14],[1,4,6,9,10,11,13],[1,4,7,9,10,12,14],[1,5,6,7,8,9,14],[1,5,7,8,9,11,12],[1,5,7,10,11,12,13],[2,3,7,9,11,13,14],[2,4,6,7,11,12,14],[2,4,6,8,9,11,12],[2,4,7,8,9,10,13],[2,5,6,8,10,12,13],[2,5,6,9,10,12,14],[2,5,7,8,11,13,14],[3,4,5,6,7,12,13],[3,4,5,8,10,11,14],[3,4,5,9,11,12,13],[3,4,7,8,10,12,14],[3,5,6,9,10,11,14],[3,6,7,8,9,10,13]]; G[297]:=Group([(1,5)(2,4)(8,9)(10,13)(11,12)]); # Design 298: autom. group order 2, simple, residual B[298]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,10,13,14],[1,3,6,8,11,13,14],[1,4,6,8,12,13,14],[1,4,6,9,10,11,14],[1,4,7,9,10,12,13],[1,5,6,7,8,9,13],[1,5,7,8,9,11,12],[1,5,7,10,11,12,14],[2,3,7,9,12,13,14],[2,4,6,7,11,12,13],[2,4,6,8,9,11,12],[2,4,7,8,9,10,14],[2,5,6,8,10,12,14],[2,5,6,9,10,11,13],[2,5,7,8,11,13,14],[3,4,5,6,7,12,14],[3,4,5,8,10,11,12],[3,4,5,9,11,13,14],[3,4,7,8,10,11,13],[3,5,6,9,10,12,13],[3,6,7,8,9,10,14]]; G[298]:=Group([(1,5)(2,4)(8,9)(10,14)(11,12)]); # Design 299: autom. group order 2, simple, residual B[299]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,5,11,12,14],[1,3,6,8,11,13,14],[1,4,6,8,10,11,12],[1,4,6,9,10,12,14],[1,4,7,9,11,13,14],[1,5,6,7,8,9,14],[1,5,7,8,9,10,13],[1,5,7,10,11,12,13],[2,3,7,9,10,11,14],[2,4,6,7,10,13,14],[2,4,6,8,9,10,13],[2,4,7,8,9,11,12],[2,5,6,8,11,13,14],[2,5,6,9,11,12,13],[2,5,7,8,10,12,14],[3,4,5,6,7,12,13],[3,4,5,8,10,11,14],[3,4,5,9,10,11,13],[3,4,7,8,12,13,14],[3,5,6,9,10,12,14],[3,6,7,8,9,11,12]]; G[299]:=Group([(1,5)(2,4)(8,9)(10,13)(11,12)]); # Design 300: autom. group order 2, simple, residual B[300]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,11,13,14],[1,3,6,8,12,13,14],[1,4,6,8,10,11,14],[1,4,6,9,11,12,13],[1,4,7,9,10,13,14],[1,5,6,7,8,9,14],[1,5,7,8,9,10,12],[1,5,7,10,11,12,13],[2,3,7,9,10,13,14],[2,4,6,7,10,12,14],[2,4,6,8,9,10,12],[2,4,7,8,9,11,13],[2,5,6,8,10,11,13],[2,5,6,9,12,13,14],[2,5,7,8,11,12,14],[3,4,5,6,7,12,13],[3,4,5,8,10,13,14],[3,4,5,9,10,11,12],[3,4,7,8,11,12,14],[3,5,6,9,10,11,14],[3,6,7,8,9,11,13]]; G[300]:=Group([(1,5)(2,4)(8,9)(10,12)(11,13)]); # Design 301: autom. group order 2, simple, residual B[301]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,5,11,12,14],[1,3,6,8,11,13,14],[1,4,6,8,10,11,12],[1,4,6,9,11,13,14],[1,4,7,9,10,12,14],[1,5,6,7,8,9,14],[1,5,7,8,9,10,13],[1,5,7,10,11,12,13],[2,3,7,9,10,11,14],[2,4,6,7,10,13,14],[2,4,6,8,9,10,13],[2,4,7,8,9,11,12],[2,5,6,8,10,12,14],[2,5,6,9,11,12,13],[2,5,7,8,11,13,14],[3,4,5,6,7,12,13],[3,4,5,8,10,11,14],[3,4,5,9,10,11,13],[3,4,7,8,12,13,14],[3,5,6,9,10,12,14],[3,6,7,8,9,11,12]]; G[301]:=Group([(1,5)(2,4)(8,9)(10,13)(11,12)]); # Design 302: autom. group order 2, simple, residual B[302]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,3,9,10,11,12],[1,2,4,5,10,13,14],[1,3,6,8,11,13,14],[1,4,6,8,10,12,13],[1,4,6,9,10,12,14],[1,4,7,9,11,13,14],[1,5,6,7,8,9,13],[1,5,7,8,9,11,12],[1,5,7,10,11,12,14],[2,3,7,9,12,13,14],[2,4,6,7,11,12,13],[2,4,6,8,9,11,12],[2,4,7,8,9,10,14],[2,5,6,8,10,11,14],[2,5,6,9,11,13,14],[2,5,7,8,10,12,13],[3,4,5,6,7,12,14],[3,4,5,8,11,12,14],[3,4,5,9,10,11,13],[3,4,7,8,10,11,13],[3,5,6,9,10,12,13],[3,6,7,8,9,10,14]]; G[302]:=Group([(1,5)(2,4)(8,9)(10,14)(11,12)]); # Design 303: autom. group order 2, simple, residual B[303]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,3,9,10,12,13],[1,2,4,5,11,12,14],[1,3,6,8,10,11,14],[1,4,6,8,11,12,13],[1,4,6,9,10,12,14],[1,4,7,9,11,13,14],[1,5,6,7,8,9,14],[1,5,7,8,9,10,13],[1,5,7,10,11,12,13],[2,3,7,9,11,13,14],[2,4,6,7,10,13,14],[2,4,6,8,9,10,13],[2,4,7,8,9,11,12],[2,5,6,8,11,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,12,14],[3,4,5,6,7,12,13],[3,4,5,8,10,11,13],[3,4,5,9,10,11,14],[3,4,7,8,10,12,14],[3,5,6,9,12,13,14],[3,6,7,8,9,11,12]]; G[303]:=Group([(1,5)(2,4)(8,9)(10,13)(11,12)]); # Design 304: autom. group order 2, simple, residual B[304]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,3,9,10,12,13],[1,2,4,5,11,12,14],[1,3,6,8,10,11,14],[1,4,6,8,11,12,13],[1,4,6,9,11,13,14],[1,4,7,9,10,12,14],[1,5,6,7,8,9,14],[1,5,7,8,9,10,13],[1,5,7,10,11,12,13],[2,3,7,9,11,13,14],[2,4,6,7,10,13,14],[2,4,6,8,9,10,13],[2,4,7,8,9,11,12],[2,5,6,8,10,12,14],[2,5,6,9,10,11,12],[2,5,7,8,11,13,14],[3,4,5,6,7,12,13],[3,4,5,8,10,11,13],[3,4,5,9,10,11,14],[3,4,7,8,10,12,14],[3,5,6,9,12,13,14],[3,6,7,8,9,11,12]]; G[304]:=Group([(1,5)(2,4)(8,9)(10,13)(11,12)]); # Design 305: autom. group order 2, simple, residual B[305]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,10,13,14],[1,3,6,8,11,13,14],[1,4,6,8,9,10,12],[1,4,6,9,12,13,14],[1,4,7,8,10,11,14],[1,5,6,7,11,12,13],[1,5,7,8,9,11,12],[1,5,7,9,10,13,14],[2,3,7,9,12,13,14],[2,4,6,7,8,9,13],[2,4,6,10,11,12,14],[2,4,7,8,11,12,13],[2,5,6,8,9,11,14],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,6,7,12,14],[3,4,5,8,11,13,14],[3,4,5,9,10,11,12],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[3,6,7,8,9,10,14]]; G[305]:=Group([(1,5)(2,4)(10,14)(11,12)]); # Design 306: autom. group order 2, simple, residual B[306]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,10,13,14],[1,3,6,8,12,13,14],[1,4,6,8,9,10,11],[1,4,6,9,11,13,14],[1,4,7,8,10,12,14],[1,5,6,7,11,12,13],[1,5,7,8,9,11,12],[1,5,7,9,10,13,14],[2,3,7,9,11,13,14],[2,4,6,7,8,9,13],[2,4,6,10,11,12,14],[2,4,7,8,11,12,13],[2,5,6,8,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,7,12,14],[3,4,5,8,11,13,14],[3,4,5,9,10,11,12],[3,4,7,9,10,12,13],[3,5,6,8,10,11,13],[3,6,7,8,9,10,14]]; G[306]:=Group([(1,5)(2,4)(10,14)(11,12)]); # Design 307: autom. group order 2, simple, residual B[307]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,10,13,14],[1,3,6,8,11,13,14],[1,4,6,8,9,12,14],[1,4,6,9,10,12,13],[1,4,7,8,10,11,14],[1,5,6,7,11,12,13],[1,5,7,8,9,11,12],[1,5,7,9,10,13,14],[2,3,7,9,12,13,14],[2,4,6,7,8,9,13],[2,4,6,10,11,12,14],[2,4,7,8,11,12,13],[2,5,6,8,9,10,11],[2,5,6,9,11,13,14],[2,5,7,8,10,12,14],[3,4,5,6,7,12,14],[3,4,5,8,11,13,14],[3,4,5,9,10,11,12],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[3,6,7,8,9,10,14]]; G[307]:=Group([(1,5)(2,4)(10,14)(11,12)]); # Design 308: autom. group order 2, simple, residual B[308]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,10,13,14],[1,3,6,8,12,13,14],[1,4,6,8,9,11,14],[1,4,6,9,10,11,13],[1,4,7,8,10,12,14],[1,5,6,7,11,12,13],[1,5,7,8,9,11,12],[1,5,7,9,10,13,14],[2,3,7,9,11,13,14],[2,4,6,7,8,9,13],[2,4,6,10,11,12,14],[2,4,7,8,11,12,13],[2,5,6,8,9,10,12],[2,5,6,9,12,13,14],[2,5,7,8,10,11,14],[3,4,5,6,7,12,14],[3,4,5,8,11,13,14],[3,4,5,9,10,11,12],[3,4,7,9,10,12,13],[3,5,6,8,10,11,13],[3,6,7,8,9,10,14]]; G[308]:=Group([(1,5)(2,4)(10,14)(11,12)]); # Design 309: autom. group order 2, simple, residual B[309]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,3,9,10,11,12],[1,2,4,5,10,13,14],[1,3,6,8,12,13,14],[1,4,6,8,9,10,12],[1,4,6,9,11,13,14],[1,4,7,8,10,11,13],[1,5,6,7,11,12,14],[1,5,7,8,9,11,12],[1,5,7,9,10,13,14],[2,3,7,9,11,13,14],[2,4,6,7,8,9,14],[2,4,6,10,11,12,13],[2,4,7,8,11,12,14],[2,5,6,8,9,11,13],[2,5,6,9,10,12,14],[2,5,7,8,10,12,13],[3,4,5,6,7,12,13],[3,4,5,8,10,11,14],[3,4,5,9,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,10,11,14],[3,6,7,8,9,10,13]]; G[309]:=Group([(1,5)(2,4)(10,13)(11,12)]); # Design 310: autom. group order 2, simple, residual B[310]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,3,9,10,11,12],[1,2,4,5,10,13,14],[1,3,6,8,11,13,14],[1,4,6,8,9,11,13],[1,4,6,9,10,12,14],[1,4,7,8,10,12,13],[1,5,6,7,11,12,14],[1,5,7,8,9,11,12],[1,5,7,9,10,13,14],[2,3,7,9,12,13,14],[2,4,6,7,8,9,14],[2,4,6,10,11,12,13],[2,4,7,8,11,12,14],[2,5,6,8,9,10,12],[2,5,6,9,11,13,14],[2,5,7,8,10,11,13],[3,4,5,6,7,12,13],[3,4,5,8,10,11,14],[3,4,5,9,11,12,13],[3,4,7,9,10,11,14],[3,5,6,8,10,12,14],[3,6,7,8,9,10,13]]; G[310]:=Group([(1,5)(2,4)(10,13)(11,12)]); # Design 311: autom. group order 2, simple, residual B[311]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,3,9,10,11,12],[1,2,4,5,10,13,14],[1,3,6,8,12,13,14],[1,4,6,8,9,11,13],[1,4,6,9,10,12,14],[1,4,7,8,10,11,13],[1,5,6,7,11,12,14],[1,5,7,8,9,11,12],[1,5,7,9,10,13,14],[2,3,7,9,11,13,14],[2,4,6,7,8,9,14],[2,4,6,10,11,12,13],[2,4,7,8,11,12,14],[2,5,6,8,9,10,12],[2,5,6,9,11,13,14],[2,5,7,8,10,12,13],[3,4,5,6,7,12,13],[3,4,5,8,10,11,14],[3,4,5,9,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,10,11,14],[3,6,7,8,9,10,13]]; G[311]:=Group([(1,5)(2,4)(10,13)(11,12)]); # Design 312: autom. group order 2, simple, residual B[312]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,3,9,10,12,13],[1,2,4,5,11,12,14],[1,3,6,8,10,11,14],[1,4,6,8,9,10,12],[1,4,6,9,11,13,14],[1,4,7,8,11,12,13],[1,5,6,7,10,13,14],[1,5,7,8,9,10,13],[1,5,7,9,11,12,14],[2,3,7,9,11,13,14],[2,4,6,7,8,9,14],[2,4,6,10,11,12,13],[2,4,7,8,10,13,14],[2,5,6,8,9,11,13],[2,5,6,9,10,12,14],[2,5,7,8,10,11,12],[3,4,5,6,7,12,13],[3,4,5,8,10,11,14],[3,4,5,9,10,11,13],[3,4,7,9,10,12,14],[3,5,6,8,12,13,14],[3,6,7,8,9,11,12]]; G[312]:=Group([(1,5)(2,4)(10,13)(11,12)]); # Design 313: autom. group order 2, simple, residual B[313]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,3,9,10,12,13],[1,2,4,5,11,12,14],[1,3,6,8,10,11,14],[1,4,6,8,9,11,13],[1,4,6,9,10,12,14],[1,4,7,8,11,12,13],[1,5,6,7,10,13,14],[1,5,7,8,9,10,13],[1,5,7,9,11,12,14],[2,3,7,9,11,13,14],[2,4,6,7,8,9,14],[2,4,6,10,11,12,13],[2,4,7,8,10,13,14],[2,5,6,8,9,10,12],[2,5,6,9,11,13,14],[2,5,7,8,10,11,12],[3,4,5,6,7,12,13],[3,4,5,8,10,11,14],[3,4,5,9,10,11,13],[3,4,7,9,10,12,14],[3,5,6,8,12,13,14],[3,6,7,8,9,11,12]]; G[313]:=Group([(1,5)(2,4)(10,13)(11,12)]); # Design 314: autom. group order 2, simple, residual B[314]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,3,9,10,12,13],[1,2,4,5,11,12,14],[1,3,6,8,11,13,14],[1,4,6,8,9,10,12],[1,4,6,9,11,13,14],[1,4,7,8,10,11,12],[1,5,6,7,10,13,14],[1,5,7,8,9,10,13],[1,5,7,9,11,12,14],[2,3,7,9,10,11,14],[2,4,6,7,8,9,14],[2,4,6,10,11,12,13],[2,4,7,8,10,13,14],[2,5,6,8,9,11,13],[2,5,6,9,10,12,14],[2,5,7,8,11,12,13],[3,4,5,6,7,12,13],[3,4,5,8,10,11,14],[3,4,5,9,10,11,13],[3,4,7,9,12,13,14],[3,5,6,8,10,12,14],[3,6,7,8,9,11,12]]; G[314]:=Group([(1,5)(2,4)(10,13)(11,12)]); # Design 315: autom. group order 2, simple, residual B[315]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,3,9,10,12,13],[1,2,4,5,11,12,14],[1,3,6,8,11,13,14],[1,4,6,8,9,11,13],[1,4,6,9,10,12,14],[1,4,7,8,10,11,12],[1,5,6,7,10,13,14],[1,5,7,8,9,10,13],[1,5,7,9,11,12,14],[2,3,7,9,10,11,14],[2,4,6,7,8,9,14],[2,4,6,10,11,12,13],[2,4,7,8,10,13,14],[2,5,6,8,9,10,12],[2,5,6,9,11,13,14],[2,5,7,8,11,12,13],[3,4,5,6,7,12,13],[3,4,5,8,10,11,14],[3,4,5,9,10,11,13],[3,4,7,9,12,13,14],[3,5,6,8,10,12,14],[3,6,7,8,9,11,12]]; G[315]:=Group([(1,5)(2,4)(10,13)(11,12)]); # Design 316: autom. group order 2, simple B[316]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,5,9,12,13],[1,3,6,7,9,11,12],[1,4,6,7,8,13,14],[1,4,6,8,9,10,14],[1,4,7,8,10,11,12],[1,5,6,10,12,13,14],[1,5,7,8,9,10,11],[1,5,9,11,12,13,14],[2,3,8,9,10,12,14],[2,4,6,8,11,12,13],[2,4,6,9,10,11,14],[2,4,7,9,10,12,13],[2,5,6,7,8,12,14],[2,5,6,7,9,11,14],[2,5,7,8,10,11,13],[3,4,5,6,10,11,13],[3,4,5,7,10,12,14],[3,4,5,8,11,12,14],[3,4,7,9,11,13,14],[3,5,6,8,9,10,13],[3,6,7,8,9,12,13]]; G[316]:=Group([(2,13)(3,14)(4,12)(7,10)(8,11)]); # Design 317: autom. group order 2, simple B[317]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,5,9,11,14],[1,3,6,8,9,10,14],[1,4,6,7,9,10,12],[1,4,6,7,11,13,14],[1,4,8,9,10,12,13],[1,5,6,9,12,13,14],[1,5,7,8,10,11,13],[1,5,7,8,11,12,14],[2,3,7,9,12,13,14],[2,4,6,8,10,11,14],[2,4,6,8,12,13,14],[2,4,7,9,10,11,13],[2,5,6,7,8,9,13],[2,5,6,7,8,10,12],[2,5,9,10,11,12,14],[3,4,5,6,11,12,13],[3,4,5,7,10,12,14],[3,4,5,8,10,13,14],[3,4,7,8,9,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,11,14]]; G[317]:=Group([(1,4)(2,5)(6,7)(10,12)(11,14)]); # Design 318: autom. group order 2, simple B[318]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,5,9,12,13],[1,3,6,8,9,10,12],[1,4,6,7,9,10,11],[1,4,6,7,12,13,14],[1,4,8,9,10,11,14],[1,5,6,9,11,13,14],[1,5,7,8,10,12,13],[1,5,7,8,11,12,14],[2,3,7,9,11,12,14],[2,4,6,8,10,13,14],[2,4,6,8,11,12,13],[2,4,7,9,10,12,14],[2,5,6,7,8,9,14],[2,5,6,7,8,10,11],[2,5,9,10,11,12,13],[3,4,5,6,11,12,14],[3,4,5,7,10,11,13],[3,4,5,8,10,12,14],[3,4,7,8,9,11,13],[3,5,6,9,10,13,14],[3,6,7,8,9,12,13]]; G[318]:=Group([(1,4)(2,5)(6,7)(10,11)(12,13)]); # Design 319: autom. group order 2, simple B[319]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,5,9,11,14],[1,3,6,8,9,10,14],[1,4,6,7,9,12,13],[1,4,6,7,11,12,14],[1,4,8,9,10,12,13],[1,5,6,9,10,13,14],[1,5,7,8,10,11,12],[1,5,7,8,11,13,14],[2,3,7,9,12,13,14],[2,4,6,8,10,12,14],[2,4,6,8,11,13,14],[2,4,7,9,10,11,13],[2,5,6,7,8,9,12],[2,5,6,7,8,10,13],[2,5,9,10,11,12,14],[3,4,5,6,10,11,13],[3,4,5,7,10,12,14],[3,4,5,8,12,13,14],[3,4,7,8,9,10,11],[3,5,6,9,11,12,13],[3,6,7,8,9,11,14]]; G[319]:=Group([(1,4)(2,5)(6,7)(11,14)]); # Design 320: autom. group order 2, simple B[320]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,5,9,11,14],[1,3,6,8,9,10,14],[1,4,6,7,9,12,13],[1,4,6,7,11,13,14],[1,4,8,9,10,12,13],[1,5,6,9,10,12,14],[1,5,7,8,10,11,13],[1,5,7,8,11,12,14],[2,3,7,9,12,13,14],[2,4,6,8,10,13,14],[2,4,6,8,11,12,14],[2,4,7,9,10,11,12],[2,5,6,7,8,9,13],[2,5,6,7,8,10,12],[2,5,9,10,11,13,14],[3,4,5,6,10,11,13],[3,4,5,7,10,12,14],[3,4,5,8,12,13,14],[3,4,7,8,9,10,11],[3,5,6,9,11,12,13],[3,6,7,8,9,11,14]]; G[320]:=Group([(1,4)(2,5)(6,7)(11,14)]); # Design 321: autom. group order 2, simple B[321]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,5,9,12,13],[1,3,6,8,9,10,12],[1,4,6,7,9,11,14],[1,4,6,7,11,12,13],[1,4,8,9,10,11,14],[1,5,6,9,10,13,14],[1,5,7,8,10,11,12],[1,5,7,8,12,13,14],[2,3,7,9,11,12,14],[2,4,6,8,10,11,13],[2,4,6,8,12,13,14],[2,4,7,9,10,12,14],[2,5,6,7,8,9,11],[2,5,6,7,8,10,14],[2,5,9,10,11,12,13],[3,4,5,6,10,12,14],[3,4,5,7,10,11,13],[3,4,5,8,11,12,14],[3,4,7,8,9,10,13],[3,5,6,9,11,13,14],[3,6,7,8,9,12,13]]; G[321]:=Group([(1,4)(2,5)(6,7)(12,13)]); # Design 322: autom. group order 2, simple B[322]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,5,9,12,13],[1,3,6,8,9,10,12],[1,4,6,7,9,11,14],[1,4,6,7,12,13,14],[1,4,8,9,10,11,14],[1,5,6,9,10,11,13],[1,5,7,8,10,12,14],[1,5,7,8,11,12,13],[2,3,7,9,11,12,14],[2,4,6,8,10,13,14],[2,4,6,8,11,12,13],[2,4,7,9,10,11,12],[2,5,6,7,8,9,14],[2,5,6,7,8,10,11],[2,5,9,10,12,13,14],[3,4,5,6,10,12,14],[3,4,5,7,10,11,13],[3,4,5,8,11,12,14],[3,4,7,8,9,10,13],[3,5,6,9,11,13,14],[3,6,7,8,9,12,13]]; G[322]:=Group([(1,4)(2,5)(6,7)(12,13)]); # Design 323: autom. group order 2, simple B[323]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,5,9,11,14],[1,3,6,8,9,13,14],[1,4,6,7,9,10,13],[1,4,6,7,11,12,14],[1,4,8,9,10,12,13],[1,5,6,9,10,12,14],[1,5,7,8,10,11,12],[1,5,7,8,11,13,14],[2,3,7,9,10,12,14],[2,4,6,8,10,11,14],[2,4,6,8,12,13,14],[2,4,7,9,11,12,13],[2,5,6,7,8,9,12],[2,5,6,7,8,10,13],[2,5,9,10,11,13,14],[3,4,5,6,10,11,13],[3,4,5,7,12,13,14],[3,4,5,8,10,12,14],[3,4,7,8,9,10,11],[3,5,6,9,11,12,13],[3,6,7,8,9,11,14]]; G[323]:=Group([(1,4)(2,5)(6,7)(10,13)(11,14)]); # Design 324: autom. group order 2, simple B[324]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,5,9,12,13],[1,3,6,8,9,12,14],[1,4,6,7,9,10,14],[1,4,6,7,11,12,13],[1,4,8,9,10,11,14],[1,5,6,9,10,11,13],[1,5,7,8,10,12,13],[1,5,7,8,11,12,14],[2,3,7,9,10,11,12],[2,4,6,8,10,11,13],[2,4,6,8,12,13,14],[2,4,7,9,11,12,14],[2,5,6,7,8,9,11],[2,5,6,7,8,10,14],[2,5,9,10,12,13,14],[3,4,5,6,10,12,14],[3,4,5,7,11,13,14],[3,4,5,8,10,11,12],[3,4,7,8,9,10,13],[3,5,6,9,11,13,14],[3,6,7,8,9,12,13]]; G[324]:=Group([(1,4)(2,5)(6,7)(10,14)(12,13)]); # Design 325: autom. group order 2, simple B[325]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,5,9,12,13],[1,3,6,8,9,10,12],[1,4,6,7,9,10,11],[1,4,6,7,12,13,14],[1,4,8,10,11,12,13],[1,5,6,9,11,13,14],[1,5,7,8,9,10,14],[1,5,7,8,11,12,14],[2,3,7,9,11,12,14],[2,4,6,8,9,11,14],[2,4,6,8,10,13,14],[2,4,7,9,10,12,14],[2,5,6,7,8,10,11],[2,5,6,7,8,12,13],[2,5,9,10,11,12,13],[3,4,5,6,11,12,14],[3,4,5,7,10,11,13],[3,4,5,8,10,12,14],[3,4,7,8,9,11,13],[3,5,6,9,10,13,14],[3,6,7,8,9,12,13]]; G[325]:=Group([(1,4)(2,5)(6,7)(10,11)(12,13)]); # Design 326: autom. group order 2, simple B[326]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,5,9,11,14],[1,3,6,8,9,10,14],[1,4,6,7,9,10,12],[1,4,6,7,11,13,14],[1,4,8,10,11,12,14],[1,5,6,9,12,13,14],[1,5,7,8,9,12,13],[1,5,7,8,10,11,13],[2,3,7,9,12,13,14],[2,4,6,8,9,10,13],[2,4,6,8,12,13,14],[2,4,7,9,10,11,13],[2,5,6,7,8,10,12],[2,5,6,7,8,11,14],[2,5,9,10,11,12,14],[3,4,5,6,11,12,13],[3,4,5,7,10,12,14],[3,4,5,8,10,13,14],[3,4,7,8,9,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,11,14]]; G[326]:=Group([(1,4)(2,5)(6,7)(10,12)(11,14)]); # Design 327: autom. group order 2, simple B[327]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,5,9,12,13],[1,3,6,8,9,12,14],[1,4,6,7,9,10,14],[1,4,6,7,11,12,13],[1,4,8,10,12,13,14],[1,5,6,9,10,11,13],[1,5,7,8,9,10,11],[1,5,7,8,11,12,14],[2,3,7,9,10,11,12],[2,4,6,8,9,11,14],[2,4,6,8,10,11,13],[2,4,7,9,11,12,14],[2,5,6,7,8,10,14],[2,5,6,7,8,12,13],[2,5,9,10,12,13,14],[3,4,5,6,10,12,14],[3,4,5,7,11,13,14],[3,4,5,8,10,11,12],[3,4,7,8,9,10,13],[3,5,6,9,11,13,14],[3,6,7,8,9,12,13]]; G[327]:=Group([(1,4)(2,5)(6,7)(10,14)(12,13)]); # Design 328: autom. group order 2, simple B[328]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,5,9,11,14],[1,3,6,8,9,13,14],[1,4,6,7,9,10,13],[1,4,6,7,11,12,14],[1,4,8,10,11,13,14],[1,5,6,9,10,12,14],[1,5,7,8,9,12,13],[1,5,7,8,10,11,12],[2,3,7,9,10,12,14],[2,4,6,8,9,10,12],[2,4,6,8,12,13,14],[2,4,7,9,11,12,13],[2,5,6,7,8,10,13],[2,5,6,7,8,11,14],[2,5,9,10,11,13,14],[3,4,5,6,10,11,13],[3,4,5,7,12,13,14],[3,4,5,8,10,12,14],[3,4,7,8,9,10,11],[3,5,6,9,11,12,13],[3,6,7,8,9,11,14]]; G[328]:=Group([(1,4)(2,5)(6,7)(10,13)(11,14)]); # Design 329: autom. group order 2, simple B[329]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,3,8,12,13,14],[1,2,4,5,9,10,14],[1,3,6,8,9,11,14],[1,4,6,7,9,11,12],[1,4,6,7,10,13,14],[1,4,8,9,11,12,13],[1,5,6,8,10,12,14],[1,5,7,8,10,12,13],[1,5,7,9,11,13,14],[2,3,7,9,12,13,14],[2,4,6,8,11,13,14],[2,4,6,9,10,12,13],[2,4,7,8,10,11,14],[2,5,6,7,8,9,13],[2,5,6,7,8,11,12],[2,5,9,10,11,12,14],[3,4,5,6,12,13,14],[3,4,5,7,11,12,14],[3,4,5,8,10,11,13],[3,4,7,8,9,10,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[329]:=Group([(1,4)(2,5)(6,7)(10,14)(11,12)]); # Design 330: autom. group order 2, simple B[330]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,3,8,12,13,14],[1,2,4,5,9,10,14],[1,3,6,8,9,11,14],[1,4,6,7,9,12,13],[1,4,6,7,10,12,14],[1,4,8,9,11,12,13],[1,5,6,8,10,13,14],[1,5,7,8,10,11,12],[1,5,7,9,11,13,14],[2,3,7,9,12,13,14],[2,4,6,8,11,12,14],[2,4,6,9,10,11,13],[2,4,7,8,10,13,14],[2,5,6,7,8,9,12],[2,5,6,7,8,11,13],[2,5,9,10,11,12,14],[3,4,5,6,11,13,14],[3,4,5,7,11,12,14],[3,4,5,8,10,12,13],[3,4,7,8,9,10,11],[3,5,6,9,10,12,13],[3,6,7,8,9,10,14]]; G[330]:=Group([(1,4)(2,5)(6,7)(10,14)]); # Design 331: autom. group order 2, simple B[331]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,3,8,12,13,14],[1,2,4,5,9,10,14],[1,3,6,8,9,11,14],[1,4,6,7,9,12,13],[1,4,6,7,10,13,14],[1,4,8,9,11,12,13],[1,5,6,8,10,12,14],[1,5,7,8,10,11,13],[1,5,7,9,11,12,14],[2,3,7,9,12,13,14],[2,4,6,8,11,13,14],[2,4,6,9,10,11,12],[2,4,7,8,10,12,14],[2,5,6,7,8,9,13],[2,5,6,7,8,11,12],[2,5,9,10,11,13,14],[3,4,5,6,11,13,14],[3,4,5,7,11,12,14],[3,4,5,8,10,12,13],[3,4,7,8,9,10,11],[3,5,6,9,10,12,13],[3,6,7,8,9,10,14]]; G[331]:=Group([(1,4)(2,5)(6,7)(10,14)]); # Design 332: autom. group order 2, simple B[332]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,3,8,12,13,14],[1,2,4,5,9,10,14],[1,3,6,8,9,13,14],[1,4,6,7,9,11,13],[1,4,6,7,10,12,14],[1,4,8,9,11,12,13],[1,5,6,8,10,11,14],[1,5,7,8,10,12,13],[1,5,7,9,11,12,14],[2,3,7,9,11,12,14],[2,4,6,8,11,12,14],[2,4,6,9,10,12,13],[2,4,7,8,10,13,14],[2,5,6,7,8,9,12],[2,5,6,7,8,11,13],[2,5,9,10,11,13,14],[3,4,5,6,11,13,14],[3,4,5,7,12,13,14],[3,4,5,8,10,11,12],[3,4,7,8,9,10,11],[3,5,6,9,10,12,13],[3,6,7,8,9,10,14]]; G[332]:=Group([(1,4)(2,5)(6,7)(10,14)(11,13)]); # Design 333: autom. group order 2, simple B[333]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,3,8,12,13,14],[1,2,4,5,9,10,14],[1,3,6,8,9,11,14],[1,4,6,7,9,11,12],[1,4,6,7,10,13,14],[1,4,8,9,11,12,13],[1,5,6,8,10,12,14],[1,5,7,8,11,13,14],[1,5,7,9,10,12,13],[2,3,7,9,12,13,14],[2,4,6,8,10,12,13],[2,4,6,9,11,13,14],[2,4,7,8,10,11,14],[2,5,6,7,8,9,13],[2,5,6,7,8,11,12],[2,5,9,10,11,12,14],[3,4,5,6,12,13,14],[3,4,5,7,11,12,14],[3,4,5,8,10,11,13],[3,4,7,8,9,10,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[333]:=Group([(1,4)(2,5)(6,7)(10,14)(11,12)]); # Design 334: autom. group order 2, simple B[334]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,3,8,12,13,14],[1,2,4,5,9,10,14],[1,3,6,8,9,11,14],[1,4,6,7,9,12,13],[1,4,6,7,10,12,14],[1,4,8,9,11,12,13],[1,5,6,8,10,13,14],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,7,9,12,13,14],[2,4,6,8,10,11,12],[2,4,6,9,11,13,14],[2,4,7,8,10,13,14],[2,5,6,7,8,9,12],[2,5,6,7,8,11,13],[2,5,9,10,11,12,14],[3,4,5,6,11,13,14],[3,4,5,7,11,12,14],[3,4,5,8,10,12,13],[3,4,7,8,9,10,11],[3,5,6,9,10,12,13],[3,6,7,8,9,10,14]]; G[334]:=Group([(1,4)(2,5)(6,7)(10,14)]); # Design 335: autom. group order 2, simple B[335]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,3,8,12,13,14],[1,2,4,5,9,10,14],[1,3,6,8,9,11,14],[1,4,6,7,9,12,13],[1,4,6,7,10,13,14],[1,4,8,9,11,12,13],[1,5,6,8,10,12,14],[1,5,7,8,11,13,14],[1,5,7,9,10,11,12],[2,3,7,9,12,13,14],[2,4,6,8,10,11,13],[2,4,6,9,11,12,14],[2,4,7,8,10,12,14],[2,5,6,7,8,9,13],[2,5,6,7,8,11,12],[2,5,9,10,11,13,14],[3,4,5,6,11,13,14],[3,4,5,7,11,12,14],[3,4,5,8,10,12,13],[3,4,7,8,9,10,11],[3,5,6,9,10,12,13],[3,6,7,8,9,10,14]]; G[335]:=Group([(1,4)(2,5)(6,7)(10,14)]); # Design 336: autom. group order 2, simple B[336]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,3,8,12,13,14],[1,2,4,5,9,10,14],[1,3,6,8,9,13,14],[1,4,6,7,9,11,13],[1,4,6,7,10,12,14],[1,4,8,9,11,12,13],[1,5,6,8,10,11,14],[1,5,7,8,11,12,14],[1,5,7,9,10,12,13],[2,3,7,9,11,12,14],[2,4,6,8,10,12,13],[2,4,6,9,11,12,14],[2,4,7,8,10,13,14],[2,5,6,7,8,9,12],[2,5,6,7,8,11,13],[2,5,9,10,11,13,14],[3,4,5,6,11,13,14],[3,4,5,7,12,13,14],[3,4,5,8,10,11,12],[3,4,7,8,9,10,11],[3,5,6,9,10,12,13],[3,6,7,8,9,10,14]]; G[336]:=Group([(1,4)(2,5)(6,7)(10,14)(11,13)]); # Design 337: autom. group order 2, simple B[337]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,5,9,12,13],[1,3,6,8,9,10,12],[1,4,6,7,9,10,11],[1,4,6,7,12,13,14],[1,4,8,9,10,11,14],[1,5,6,8,11,13,14],[1,5,7,8,10,12,13],[1,5,7,9,11,12,14],[2,3,7,9,11,12,14],[2,4,6,8,11,12,13],[2,4,6,9,10,13,14],[2,4,7,8,10,12,14],[2,5,6,7,8,9,14],[2,5,6,7,8,10,11],[2,5,9,10,11,12,13],[3,4,5,6,11,12,14],[3,4,5,7,10,11,13],[3,4,5,8,10,12,14],[3,4,7,8,9,11,13],[3,5,6,9,10,13,14],[3,6,7,8,9,12,13]]; G[337]:=Group([(1,4)(2,5)(6,7)(10,11)(12,13)]); # Design 338: autom. group order 2, simple B[338]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,5,9,11,14],[1,3,6,8,9,10,14],[1,4,6,7,9,10,12],[1,4,6,7,11,13,14],[1,4,8,9,10,12,13],[1,5,6,8,12,13,14],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,7,9,12,13,14],[2,4,6,8,10,11,14],[2,4,6,9,12,13,14],[2,4,7,8,10,11,13],[2,5,6,7,8,9,13],[2,5,6,7,8,10,12],[2,5,9,10,11,12,14],[3,4,5,6,11,12,13],[3,4,5,7,10,12,14],[3,4,5,8,10,13,14],[3,4,7,8,9,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,11,14]]; G[338]:=Group([(1,4)(2,5)(6,7)(10,12)(11,14)]); # Design 339: autom. group order 2, simple B[339]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,5,9,11,14],[1,3,6,8,9,10,14],[1,4,6,7,9,12,13],[1,4,6,7,11,12,14],[1,4,8,9,10,12,13],[1,5,6,8,10,12,14],[1,5,7,8,11,13,14],[1,5,7,9,10,11,13],[2,3,7,9,12,13,14],[2,4,6,8,11,13,14],[2,4,6,9,10,13,14],[2,4,7,8,10,11,12],[2,5,6,7,8,9,12],[2,5,6,7,8,10,13],[2,5,9,10,11,12,14],[3,4,5,6,10,11,13],[3,4,5,7,10,12,14],[3,4,5,8,12,13,14],[3,4,7,8,9,10,11],[3,5,6,9,11,12,13],[3,6,7,8,9,11,14]]; G[339]:=Group([(1,4)(2,5)(6,7)(11,14)]); # Design 340: autom. group order 2, simple B[340]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,5,9,11,14],[1,3,6,8,9,10,14],[1,4,6,7,9,12,13],[1,4,6,7,11,13,14],[1,4,8,9,10,12,13],[1,5,6,8,10,13,14],[1,5,7,8,11,12,14],[1,5,7,9,10,11,12],[2,3,7,9,12,13,14],[2,4,6,8,11,12,14],[2,4,6,9,10,12,14],[2,4,7,8,10,11,13],[2,5,6,7,8,9,13],[2,5,6,7,8,10,12],[2,5,9,10,11,13,14],[3,4,5,6,10,11,13],[3,4,5,7,10,12,14],[3,4,5,8,12,13,14],[3,4,7,8,9,10,11],[3,5,6,9,11,12,13],[3,6,7,8,9,11,14]]; G[340]:=Group([(1,4)(2,5)(6,7)(11,14)]); # Design 341: autom. group order 2, simple B[341]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,5,9,12,13],[1,3,6,8,9,10,12],[1,4,6,7,9,11,14],[1,4,6,7,11,12,13],[1,4,8,9,10,11,14],[1,5,6,8,10,11,13],[1,5,7,8,12,13,14],[1,5,7,9,10,12,14],[2,3,7,9,11,12,14],[2,4,6,8,12,13,14],[2,4,6,9,10,13,14],[2,4,7,8,10,11,12],[2,5,6,7,8,9,11],[2,5,6,7,8,10,14],[2,5,9,10,11,12,13],[3,4,5,6,10,12,14],[3,4,5,7,10,11,13],[3,4,5,8,11,12,14],[3,4,7,8,9,10,13],[3,5,6,9,11,13,14],[3,6,7,8,9,12,13]]; G[341]:=Group([(1,4)(2,5)(6,7)(12,13)]); # Design 342: autom. group order 2, simple B[342]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,5,9,12,13],[1,3,6,8,9,10,12],[1,4,6,7,9,11,14],[1,4,6,7,12,13,14],[1,4,8,9,10,11,14],[1,5,6,8,10,13,14],[1,5,7,8,11,12,13],[1,5,7,9,10,11,12],[2,3,7,9,11,12,14],[2,4,6,8,11,12,13],[2,4,6,9,10,11,13],[2,4,7,8,10,12,14],[2,5,6,7,8,9,14],[2,5,6,7,8,10,11],[2,5,9,10,12,13,14],[3,4,5,6,10,12,14],[3,4,5,7,10,11,13],[3,4,5,8,11,12,14],[3,4,7,8,9,10,13],[3,5,6,9,11,13,14],[3,6,7,8,9,12,13]]; G[342]:=Group([(1,4)(2,5)(6,7)(12,13)]); # Design 343: autom. group order 2, simple B[343]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,5,9,12,13],[1,3,6,8,9,12,14],[1,4,6,7,9,10,14],[1,4,6,7,11,12,13],[1,4,8,9,10,11,14],[1,5,6,8,10,11,13],[1,5,7,8,10,12,13],[1,5,7,9,11,12,14],[2,3,7,9,10,11,12],[2,4,6,8,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,11,12,14],[2,5,6,7,8,9,11],[2,5,6,7,8,10,14],[2,5,9,10,12,13,14],[3,4,5,6,10,12,14],[3,4,5,7,11,13,14],[3,4,5,8,10,11,12],[3,4,7,8,9,10,13],[3,5,6,9,11,13,14],[3,6,7,8,9,12,13]]; G[343]:=Group([(1,4)(2,5)(6,7)(10,14)(12,13)]); # Design 344: autom. group order 2, simple B[344]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,5,9,11,14],[1,3,6,8,9,13,14],[1,4,6,7,9,10,13],[1,4,6,7,11,12,14],[1,4,8,9,10,12,13],[1,5,6,8,10,12,14],[1,5,7,8,11,13,14],[1,5,7,9,10,11,12],[2,3,7,9,10,12,14],[2,4,6,8,10,11,14],[2,4,6,9,12,13,14],[2,4,7,8,11,12,13],[2,5,6,7,8,9,12],[2,5,6,7,8,10,13],[2,5,9,10,11,13,14],[3,4,5,6,10,11,13],[3,4,5,7,12,13,14],[3,4,5,8,10,12,14],[3,4,7,8,9,10,11],[3,5,6,9,11,12,13],[3,6,7,8,9,11,14]]; G[344]:=Group([(1,4)(2,5)(6,7)(10,13)(11,14)]); # Design 345: autom. group order 2, simple B[345]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,3,8,12,13,14],[1,2,4,5,9,10,14],[1,3,6,8,9,11,14],[1,4,6,7,9,11,12],[1,4,6,7,10,13,14],[1,4,8,10,11,12,14],[1,5,6,8,9,12,13],[1,5,7,8,10,12,13],[1,5,7,9,11,13,14],[2,3,7,9,12,13,14],[2,4,6,8,11,13,14],[2,4,6,9,10,12,13],[2,4,7,8,9,11,13],[2,5,6,7,8,10,14],[2,5,6,7,8,11,12],[2,5,9,10,11,12,14],[3,4,5,6,12,13,14],[3,4,5,7,11,12,14],[3,4,5,8,10,11,13],[3,4,7,8,9,10,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[345]:=Group([(1,4)(2,5)(6,7)(10,14)(11,12)]); # Design 346: autom. group order 2, simple B[346]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,3,8,12,13,14],[1,2,4,5,9,10,14],[1,3,6,8,9,13,14],[1,4,6,7,9,11,13],[1,4,6,7,10,12,14],[1,4,8,10,11,13,14],[1,5,6,8,9,11,12],[1,5,7,8,10,12,13],[1,5,7,9,11,12,14],[2,3,7,9,11,12,14],[2,4,6,8,11,12,14],[2,4,6,9,10,12,13],[2,4,7,8,9,12,13],[2,5,6,7,8,10,14],[2,5,6,7,8,11,13],[2,5,9,10,11,13,14],[3,4,5,6,11,13,14],[3,4,5,7,12,13,14],[3,4,5,8,10,11,12],[3,4,7,8,9,10,11],[3,5,6,9,10,12,13],[3,6,7,8,9,10,14]]; G[346]:=Group([(1,4)(2,5)(6,7)(10,14)(11,13)]); # Design 347: autom. group order 2, simple B[347]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,3,8,12,13,14],[1,2,4,5,9,10,14],[1,3,6,8,9,11,14],[1,4,6,7,9,11,12],[1,4,6,7,10,13,14],[1,4,8,10,11,12,14],[1,5,6,8,9,12,13],[1,5,7,8,11,13,14],[1,5,7,9,10,12,13],[2,3,7,9,12,13,14],[2,4,6,8,10,12,13],[2,4,6,9,11,13,14],[2,4,7,8,9,11,13],[2,5,6,7,8,10,14],[2,5,6,7,8,11,12],[2,5,9,10,11,12,14],[3,4,5,6,12,13,14],[3,4,5,7,11,12,14],[3,4,5,8,10,11,13],[3,4,7,8,9,10,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[347]:=Group([(1,4)(2,5)(6,7)(10,14)(11,12)]); # Design 348: autom. group order 2, simple B[348]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,3,8,12,13,14],[1,2,4,5,9,10,14],[1,3,6,8,9,13,14],[1,4,6,7,9,11,13],[1,4,6,7,10,12,14],[1,4,8,10,11,13,14],[1,5,6,8,9,11,12],[1,5,7,8,11,12,14],[1,5,7,9,10,12,13],[2,3,7,9,11,12,14],[2,4,6,8,10,12,13],[2,4,6,9,11,12,14],[2,4,7,8,9,12,13],[2,5,6,7,8,10,14],[2,5,6,7,8,11,13],[2,5,9,10,11,13,14],[3,4,5,6,11,13,14],[3,4,5,7,12,13,14],[3,4,5,8,10,11,12],[3,4,7,8,9,10,11],[3,5,6,9,10,12,13],[3,6,7,8,9,10,14]]; G[348]:=Group([(1,4)(2,5)(6,7)(10,14)(11,13)]); # Design 349: autom. group order 2, simple B[349]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,5,9,12,13],[1,3,6,8,9,10,12],[1,4,6,7,9,10,11],[1,4,6,7,12,13,14],[1,4,8,10,11,12,13],[1,5,6,8,11,13,14],[1,5,7,8,9,10,14],[1,5,7,9,11,12,14],[2,3,7,9,11,12,14],[2,4,6,8,9,11,14],[2,4,6,9,10,13,14],[2,4,7,8,10,12,14],[2,5,6,7,8,10,11],[2,5,6,7,8,12,13],[2,5,9,10,11,12,13],[3,4,5,6,11,12,14],[3,4,5,7,10,11,13],[3,4,5,8,10,12,14],[3,4,7,8,9,11,13],[3,5,6,9,10,13,14],[3,6,7,8,9,12,13]]; G[349]:=Group([(1,4)(2,5)(6,7)(10,11)(12,13)]); # Design 350: autom. group order 2, simple B[350]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,5,9,11,14],[1,3,6,8,9,10,14],[1,4,6,7,9,10,12],[1,4,6,7,11,13,14],[1,4,8,10,11,12,14],[1,5,6,8,12,13,14],[1,5,7,8,9,12,13],[1,5,7,9,10,11,13],[2,3,7,9,12,13,14],[2,4,6,8,9,10,13],[2,4,6,9,12,13,14],[2,4,7,8,10,11,13],[2,5,6,7,8,10,12],[2,5,6,7,8,11,14],[2,5,9,10,11,12,14],[3,4,5,6,11,12,13],[3,4,5,7,10,12,14],[3,4,5,8,10,13,14],[3,4,7,8,9,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,11,14]]; G[350]:=Group([(1,4)(2,5)(6,7)(10,12)(11,14)]); # Design 351: autom. group order 2, simple B[351]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,5,9,12,13],[1,3,6,8,9,12,14],[1,4,6,7,9,10,14],[1,4,6,7,11,12,13],[1,4,8,10,12,13,14],[1,5,6,8,10,11,13],[1,5,7,8,9,10,11],[1,5,7,9,11,12,14],[2,3,7,9,10,11,12],[2,4,6,8,9,11,14],[2,4,6,9,10,11,13],[2,4,7,8,11,12,14],[2,5,6,7,8,10,14],[2,5,6,7,8,12,13],[2,5,9,10,12,13,14],[3,4,5,6,10,12,14],[3,4,5,7,11,13,14],[3,4,5,8,10,11,12],[3,4,7,8,9,10,13],[3,5,6,9,11,13,14],[3,6,7,8,9,12,13]]; G[351]:=Group([(1,4)(2,5)(6,7)(10,14)(12,13)]); # Design 352: autom. group order 2, simple B[352]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,5,9,11,14],[1,3,6,8,9,13,14],[1,4,6,7,9,10,13],[1,4,6,7,11,12,14],[1,4,8,10,11,13,14],[1,5,6,8,10,12,14],[1,5,7,8,9,12,13],[1,5,7,9,10,11,12],[2,3,7,9,10,12,14],[2,4,6,8,9,10,12],[2,4,6,9,12,13,14],[2,4,7,8,11,12,13],[2,5,6,7,8,10,13],[2,5,6,7,8,11,14],[2,5,9,10,11,13,14],[3,4,5,6,10,11,13],[3,4,5,7,12,13,14],[3,4,5,8,10,12,14],[3,4,7,8,9,10,11],[3,5,6,9,11,12,13],[3,6,7,8,9,11,14]]; G[352]:=Group([(1,4)(2,5)(6,7)(10,13)(11,14)]); # Design 353: autom. group order 2, simple B[353]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,5,9,12,13],[1,3,6,8,9,10,12],[1,4,6,7,8,10,11],[1,4,6,7,12,13,14],[1,4,9,10,11,12,13],[1,5,6,9,11,13,14],[1,5,7,8,9,10,14],[1,5,7,8,11,12,14],[2,3,7,9,11,12,14],[2,4,6,8,9,11,14],[2,4,6,8,10,13,14],[2,4,7,9,10,12,14],[2,5,6,7,8,12,13],[2,5,6,7,9,10,11],[2,5,8,10,11,12,13],[3,4,5,6,11,12,14],[3,4,5,7,10,11,13],[3,4,5,8,10,12,14],[3,4,7,8,9,11,13],[3,5,6,9,10,13,14],[3,6,7,8,9,12,13]]; G[353]:=Group([(1,4)(2,5)(6,7)(10,11)(12,13)]); # Design 354: autom. group order 2, simple B[354]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,5,9,11,14],[1,3,6,8,9,10,14],[1,4,6,7,8,10,12],[1,4,6,7,11,13,14],[1,4,9,10,11,12,14],[1,5,6,9,12,13,14],[1,5,7,8,9,12,13],[1,5,7,8,10,11,13],[2,3,7,9,12,13,14],[2,4,6,8,9,10,13],[2,4,6,8,12,13,14],[2,4,7,9,10,11,13],[2,5,6,7,8,11,14],[2,5,6,7,9,10,12],[2,5,8,10,11,12,14],[3,4,5,6,11,12,13],[3,4,5,7,10,12,14],[3,4,5,8,10,13,14],[3,4,7,8,9,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,11,14]]; G[354]:=Group([(1,4)(2,5)(6,7)(10,12)(11,14)]); # Design 355: autom. group order 2, simple B[355]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,5,9,12,13],[1,3,6,8,9,12,14],[1,4,6,7,8,10,14],[1,4,6,7,11,12,13],[1,4,9,10,12,13,14],[1,5,6,9,10,11,13],[1,5,7,8,9,10,11],[1,5,7,8,11,12,14],[2,3,7,9,10,11,12],[2,4,6,8,9,11,14],[2,4,6,8,10,11,13],[2,4,7,9,11,12,14],[2,5,6,7,8,12,13],[2,5,6,7,9,10,14],[2,5,8,10,12,13,14],[3,4,5,6,10,12,14],[3,4,5,7,11,13,14],[3,4,5,8,10,11,12],[3,4,7,8,9,10,13],[3,5,6,9,11,13,14],[3,6,7,8,9,12,13]]; G[355]:=Group([(1,4)(2,5)(6,7)(10,14)(12,13)]); # Design 356: autom. group order 2, simple B[356]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,5,9,11,14],[1,3,6,8,9,13,14],[1,4,6,7,8,10,13],[1,4,6,7,11,12,14],[1,4,9,10,11,13,14],[1,5,6,9,10,12,14],[1,5,7,8,9,12,13],[1,5,7,8,10,11,12],[2,3,7,9,10,12,14],[2,4,6,8,9,10,12],[2,4,6,8,12,13,14],[2,4,7,9,11,12,13],[2,5,6,7,8,11,14],[2,5,6,7,9,10,13],[2,5,8,10,11,13,14],[3,4,5,6,10,11,13],[3,4,5,7,12,13,14],[3,4,5,8,10,12,14],[3,4,7,8,9,10,11],[3,5,6,9,11,12,13],[3,6,7,8,9,11,14]]; G[356]:=Group([(1,4)(2,5)(6,7)(10,13)(11,14)]); # Design 357: autom. group order 2, simple B[357]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,3,8,12,13,14],[1,2,4,5,9,10,14],[1,3,6,8,9,11,14],[1,4,6,7,8,11,12],[1,4,6,7,10,13,14],[1,4,9,10,11,12,14],[1,5,6,8,9,12,13],[1,5,7,8,10,12,13],[1,5,7,9,11,13,14],[2,3,7,9,12,13,14],[2,4,6,8,11,13,14],[2,4,6,9,10,12,13],[2,4,7,8,9,11,13],[2,5,6,7,8,10,14],[2,5,6,7,9,11,12],[2,5,8,10,11,12,14],[3,4,5,6,12,13,14],[3,4,5,7,11,12,14],[3,4,5,8,10,11,13],[3,4,7,8,9,10,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[357]:=Group([(1,4)(2,5)(6,7)(10,14)(11,12)]); # Design 358: autom. group order 2, simple B[358]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,3,8,12,13,14],[1,2,4,5,9,10,14],[1,3,6,8,9,13,14],[1,4,6,7,8,11,13],[1,4,6,7,10,12,14],[1,4,9,10,11,13,14],[1,5,6,8,9,11,12],[1,5,7,8,10,12,13],[1,5,7,9,11,12,14],[2,3,7,9,11,12,14],[2,4,6,8,11,12,14],[2,4,6,9,10,12,13],[2,4,7,8,9,12,13],[2,5,6,7,8,10,14],[2,5,6,7,9,11,13],[2,5,8,10,11,13,14],[3,4,5,6,11,13,14],[3,4,5,7,12,13,14],[3,4,5,8,10,11,12],[3,4,7,8,9,10,11],[3,5,6,9,10,12,13],[3,6,7,8,9,10,14]]; G[358]:=Group([(1,4)(2,5)(6,7)(10,14)(11,13)]); # Design 359: autom. group order 2, simple B[359]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,3,8,12,13,14],[1,2,4,5,9,10,14],[1,3,6,8,9,11,14],[1,4,6,7,8,11,12],[1,4,6,7,10,13,14],[1,4,9,10,11,12,14],[1,5,6,8,9,12,13],[1,5,7,8,11,13,14],[1,5,7,9,10,12,13],[2,3,7,9,12,13,14],[2,4,6,8,10,12,13],[2,4,6,9,11,13,14],[2,4,7,8,9,11,13],[2,5,6,7,8,10,14],[2,5,6,7,9,11,12],[2,5,8,10,11,12,14],[3,4,5,6,12,13,14],[3,4,5,7,11,12,14],[3,4,5,8,10,11,13],[3,4,7,8,9,10,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[359]:=Group([(1,4)(2,5)(6,7)(10,14)(11,12)]); # Design 360: autom. group order 2, simple B[360]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,3,8,12,13,14],[1,2,4,5,9,10,14],[1,3,6,8,9,13,14],[1,4,6,7,8,11,13],[1,4,6,7,10,12,14],[1,4,9,10,11,13,14],[1,5,6,8,9,11,12],[1,5,7,8,11,12,14],[1,5,7,9,10,12,13],[2,3,7,9,11,12,14],[2,4,6,8,10,12,13],[2,4,6,9,11,12,14],[2,4,7,8,9,12,13],[2,5,6,7,8,10,14],[2,5,6,7,9,11,13],[2,5,8,10,11,13,14],[3,4,5,6,11,13,14],[3,4,5,7,12,13,14],[3,4,5,8,10,11,12],[3,4,7,8,9,10,11],[3,5,6,9,10,12,13],[3,6,7,8,9,10,14]]; G[360]:=Group([(1,4)(2,5)(6,7)(10,14)(11,13)]); # Design 361: autom. group order 2, simple B[361]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,5,9,12,13],[1,3,6,8,9,10,12],[1,4,6,7,8,10,11],[1,4,6,7,12,13,14],[1,4,9,10,11,12,13],[1,5,6,8,11,13,14],[1,5,7,8,9,10,14],[1,5,7,9,11,12,14],[2,3,7,9,11,12,14],[2,4,6,8,9,11,14],[2,4,6,9,10,13,14],[2,4,7,8,10,12,14],[2,5,6,7,8,12,13],[2,5,6,7,9,10,11],[2,5,8,10,11,12,13],[3,4,5,6,11,12,14],[3,4,5,7,10,11,13],[3,4,5,8,10,12,14],[3,4,7,8,9,11,13],[3,5,6,9,10,13,14],[3,6,7,8,9,12,13]]; G[361]:=Group([(1,4)(2,5)(6,7)(10,11)(12,13)]); # Design 362: autom. group order 2, simple B[362]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,5,9,11,14],[1,3,6,8,9,10,14],[1,4,6,7,8,10,12],[1,4,6,7,11,13,14],[1,4,9,10,11,12,14],[1,5,6,8,12,13,14],[1,5,7,8,9,12,13],[1,5,7,9,10,11,13],[2,3,7,9,12,13,14],[2,4,6,8,9,10,13],[2,4,6,9,12,13,14],[2,4,7,8,10,11,13],[2,5,6,7,8,11,14],[2,5,6,7,9,10,12],[2,5,8,10,11,12,14],[3,4,5,6,11,12,13],[3,4,5,7,10,12,14],[3,4,5,8,10,13,14],[3,4,7,8,9,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,11,14]]; G[362]:=Group([(1,4)(2,5)(6,7)(10,12)(11,14)]); # Design 363: autom. group order 2, simple B[363]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,5,9,12,13],[1,3,6,8,9,12,14],[1,4,6,7,8,10,14],[1,4,6,7,11,12,13],[1,4,9,10,12,13,14],[1,5,6,8,10,11,13],[1,5,7,8,9,10,11],[1,5,7,9,11,12,14],[2,3,7,9,10,11,12],[2,4,6,8,9,11,14],[2,4,6,9,10,11,13],[2,4,7,8,11,12,14],[2,5,6,7,8,12,13],[2,5,6,7,9,10,14],[2,5,8,10,12,13,14],[3,4,5,6,10,12,14],[3,4,5,7,11,13,14],[3,4,5,8,10,11,12],[3,4,7,8,9,10,13],[3,5,6,9,11,13,14],[3,6,7,8,9,12,13]]; G[363]:=Group([(1,4)(2,5)(6,7)(10,14)(12,13)]); # Design 364: autom. group order 2, simple B[364]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,5,9,11,14],[1,3,6,8,9,13,14],[1,4,6,7,8,10,13],[1,4,6,7,11,12,14],[1,4,9,10,11,13,14],[1,5,6,8,10,12,14],[1,5,7,8,9,12,13],[1,5,7,9,10,11,12],[2,3,7,9,10,12,14],[2,4,6,8,9,10,12],[2,4,6,9,12,13,14],[2,4,7,8,11,12,13],[2,5,6,7,8,11,14],[2,5,6,7,9,10,13],[2,5,8,10,11,13,14],[3,4,5,6,10,11,13],[3,4,5,7,12,13,14],[3,4,5,8,10,12,14],[3,4,7,8,9,10,11],[3,5,6,9,11,12,13],[3,6,7,8,9,11,14]]; G[364]:=Group([(1,4)(2,5)(6,7)(10,13)(11,14)]); # Design 365: autom. group order 2, simple, residual B[365]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,11,12],[1,2,3,9,12,13,14],[1,2,4,5,10,13,14],[1,3,6,9,12,13,14],[1,4,6,7,8,9,13],[1,4,6,7,11,12,13],[1,4,8,10,11,12,14],[1,5,6,9,10,11,14],[1,5,7,8,9,10,12],[1,5,7,8,11,13,14],[2,3,7,8,11,13,14],[2,4,6,8,9,11,14],[2,4,6,8,10,12,13],[2,4,7,9,10,12,14],[2,5,6,7,9,11,12],[2,5,6,7,10,13,14],[2,5,8,9,11,12,13],[3,4,5,6,11,12,14],[3,4,5,7,8,12,14],[3,4,5,9,10,11,13],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[3,6,7,8,9,10,14]]; G[365]:=Group([(1,4)(2,5)(6,7)(10,14)(11,12)]); # Design 366: autom. group order 2, simple, residual B[366]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,10,13,14],[1,3,6,9,11,13,14],[1,4,6,7,8,9,12],[1,4,6,7,11,12,13],[1,4,8,10,11,13,14],[1,5,6,9,10,12,14],[1,5,7,8,9,10,13],[1,5,7,8,11,12,14],[2,3,7,8,12,13,14],[2,4,6,8,9,13,14],[2,4,6,8,10,11,12],[2,4,7,9,10,12,14],[2,5,6,7,9,11,13],[2,5,6,7,10,11,14],[2,5,8,9,11,12,13],[3,4,5,6,12,13,14],[3,4,5,7,8,11,14],[3,4,5,9,10,11,12],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[3,6,7,8,9,10,14]]; G[366]:=Group([(1,4)(2,5)(6,7)(10,14)]); # Design 367: autom. group order 2, simple, residual B[367]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,10,13,14],[1,3,6,9,11,13,14],[1,4,6,7,8,9,12],[1,4,6,7,11,12,13],[1,4,8,10,11,13,14],[1,5,6,9,10,12,14],[1,5,7,8,9,13,14],[1,5,7,8,10,11,12],[2,3,7,8,12,13,14],[2,4,6,8,9,10,13],[2,4,6,8,11,12,14],[2,4,7,9,10,12,14],[2,5,6,7,9,11,13],[2,5,6,7,10,11,14],[2,5,8,9,11,12,13],[3,4,5,6,12,13,14],[3,4,5,7,8,11,14],[3,4,5,9,10,11,12],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[3,6,7,8,9,10,14]]; G[367]:=Group([(1,4)(2,5)(6,7)(10,14)]); # Design 368: autom. group order 2, simple B[368]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,11,13,14],[1,3,6,9,10,13,14],[1,4,6,7,8,9,14],[1,4,6,7,11,12,13],[1,4,8,10,11,13,14],[1,5,6,9,10,12,13],[1,5,7,8,9,11,12],[1,5,7,8,10,12,14],[2,3,7,8,12,13,14],[2,4,6,8,9,12,13],[2,4,6,8,10,12,14],[2,4,7,9,10,11,12],[2,5,6,7,9,10,14],[2,5,6,7,11,13,14],[2,5,8,9,10,11,13],[3,4,5,6,10,11,12],[3,4,5,7,8,10,13],[3,4,5,9,12,13,14],[3,4,7,9,10,11,14],[3,5,6,8,11,12,14],[3,6,7,8,9,11,13]]; G[368]:=Group([(1,4)(2,5)(6,7)(11,13)]); # Design 369: autom. group order 2, simple B[369]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,12,13,14],[1,2,4,5,11,12,14],[1,3,6,9,10,11,14],[1,4,6,7,8,9,14],[1,4,6,7,11,12,13],[1,4,8,10,11,12,14],[1,5,6,9,10,12,13],[1,5,7,8,9,11,13],[1,5,7,8,10,13,14],[2,3,7,8,11,13,14],[2,4,6,8,9,12,13],[2,4,6,8,10,13,14],[2,4,7,9,10,11,13],[2,5,6,7,9,10,14],[2,5,6,7,11,12,14],[2,5,8,9,10,11,12],[3,4,5,6,10,11,13],[3,4,5,7,8,10,12],[3,4,5,9,11,13,14],[3,4,7,9,10,12,14],[3,5,6,8,12,13,14],[3,6,7,8,9,11,12]]; G[369]:=Group([(1,4)(2,5)(6,7)(11,12)]); # Design 370: autom. group order 2, simple, residual B[370]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,10,13,14],[1,3,6,9,11,13,14],[1,4,6,7,8,11,12],[1,4,6,7,9,12,13],[1,4,8,9,10,13,14],[1,5,6,10,11,12,14],[1,5,7,8,9,10,12],[1,5,7,8,11,13,14],[2,3,7,8,12,13,14],[2,4,6,8,9,12,14],[2,4,6,8,10,11,13],[2,4,7,10,11,12,14],[2,5,6,7,9,10,14],[2,5,6,7,9,11,13],[2,5,8,9,11,12,13],[3,4,5,6,12,13,14],[3,4,5,7,8,11,14],[3,4,5,9,10,11,12],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[3,6,7,8,9,10,14]]; G[370]:=Group([(1,4)(2,5)(6,7)(10,14)]); # Design 371: autom. group order 2, simple, residual B[371]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,10,13,14],[1,3,6,9,11,13,14],[1,4,6,7,8,11,12],[1,4,6,7,9,12,13],[1,4,8,9,10,13,14],[1,5,6,10,11,12,14],[1,5,7,8,9,12,14],[1,5,7,8,10,11,13],[2,3,7,8,12,13,14],[2,4,6,8,9,10,12],[2,4,6,8,11,13,14],[2,4,7,10,11,12,14],[2,5,6,7,9,10,14],[2,5,6,7,9,11,13],[2,5,8,9,11,12,13],[3,4,5,6,12,13,14],[3,4,5,7,8,11,14],[3,4,5,9,10,11,12],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[3,6,7,8,9,10,14]]; G[371]:=Group([(1,4)(2,5)(6,7)(10,14)]); # Design 372: autom. group order 2, simple, residual B[372]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,11,12],[1,2,3,9,12,13,14],[1,2,4,5,10,13,14],[1,3,6,9,11,13,14],[1,4,6,7,8,9,12],[1,4,6,7,10,13,14],[1,4,8,9,10,12,13],[1,5,6,8,11,12,14],[1,5,7,8,11,12,13],[1,5,7,9,10,11,14],[2,3,7,8,12,13,14],[2,4,6,8,11,13,14],[2,4,6,9,10,11,12],[2,4,7,9,11,12,14],[2,5,6,7,8,9,14],[2,5,6,7,10,12,13],[2,5,8,9,10,11,13],[3,4,5,6,11,12,13],[3,4,5,7,9,11,13],[3,4,5,8,10,12,14],[3,4,7,8,10,11,14],[3,5,6,9,10,12,14],[3,6,7,8,9,10,13]]; G[372]:=Group([(1,4)(2,5)(6,7)(8,9)(10,13)]); # Design 373: autom. group order 2, simple, residual B[373]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,11,12],[1,2,3,9,12,13,14],[1,2,4,5,10,13,14],[1,3,6,9,11,13,14],[1,4,6,7,8,9,12],[1,4,6,7,10,13,14],[1,4,8,9,10,12,13],[1,5,6,8,11,12,14],[1,5,7,8,11,13,14],[1,5,7,9,10,11,12],[2,3,7,8,12,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,11,14],[2,4,7,9,11,12,14],[2,5,6,7,8,9,14],[2,5,6,7,10,12,13],[2,5,8,9,10,11,13],[3,4,5,6,11,12,13],[3,4,5,7,9,11,13],[3,4,5,8,10,12,14],[3,4,7,8,10,11,14],[3,5,6,9,10,12,14],[3,6,7,8,9,10,13]]; G[373]:=Group([(1,4)(2,5)(6,7)(8,9)(10,13)]); # Design 374: autom. group order 2, simple B[374]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,11,12],[1,2,3,9,12,13,14],[1,2,4,5,10,13,14],[1,3,6,9,11,13,14],[1,4,6,7,8,9,13],[1,4,6,7,10,12,14],[1,4,8,9,10,12,14],[1,5,6,8,11,12,13],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,7,8,12,13,14],[2,4,6,8,11,13,14],[2,4,6,9,10,11,12],[2,4,7,9,11,12,13],[2,5,6,7,8,9,12],[2,5,6,7,10,13,14],[2,5,8,9,10,11,14],[3,4,5,6,11,12,14],[3,4,5,7,9,11,14],[3,4,5,8,10,12,13],[3,4,7,8,10,11,13],[3,5,6,9,10,12,13],[3,6,7,8,9,10,14]]; G[374]:=Group([(1,4)(2,5)(6,7)(8,9)(10,14)]); # Design 375: autom. group order 2, simple B[375]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,11,12],[1,2,3,9,12,13,14],[1,2,4,5,10,13,14],[1,3,6,9,11,13,14],[1,4,6,7,8,9,13],[1,4,6,7,10,12,14],[1,4,8,9,10,12,14],[1,5,6,8,11,12,13],[1,5,7,8,11,13,14],[1,5,7,9,10,11,12],[2,3,7,8,12,13,14],[2,4,6,8,11,12,14],[2,4,6,9,10,11,13],[2,4,7,9,11,12,13],[2,5,6,7,8,9,12],[2,5,6,7,10,13,14],[2,5,8,9,10,11,14],[3,4,5,6,11,12,14],[3,4,5,7,9,11,14],[3,4,5,8,10,12,13],[3,4,7,8,10,11,13],[3,5,6,9,10,12,13],[3,6,7,8,9,10,14]]; G[375]:=Group([(1,4)(2,5)(6,7)(8,9)(10,14)]); # Design 376: autom. group order 2, simple B[376]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,11,12],[1,2,3,9,12,13,14],[1,2,4,5,10,13,14],[1,3,6,9,12,13,14],[1,4,6,7,8,9,12],[1,4,6,7,10,13,14],[1,4,8,9,10,11,13],[1,5,6,8,11,12,14],[1,5,7,8,11,12,13],[1,5,7,9,10,11,14],[2,3,7,8,11,13,14],[2,4,6,8,11,13,14],[2,4,6,9,10,11,12],[2,4,7,9,11,12,14],[2,5,6,7,8,9,14],[2,5,6,7,10,12,13],[2,5,8,9,10,12,13],[3,4,5,6,11,12,13],[3,4,5,7,9,11,13],[3,4,5,8,10,12,14],[3,4,7,8,10,12,14],[3,5,6,9,10,11,14],[3,6,7,8,9,10,13]]; G[376]:=Group([(1,4)(2,5)(6,7)(8,9)(10,13)]); # Design 377: autom. group order 2, simple B[377]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,11,12],[1,2,3,9,12,13,14],[1,2,4,5,10,13,14],[1,3,6,9,12,13,14],[1,4,6,7,8,9,12],[1,4,6,7,10,13,14],[1,4,8,9,10,11,13],[1,5,6,8,11,12,14],[1,5,7,8,11,13,14],[1,5,7,9,10,11,12],[2,3,7,8,11,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,11,14],[2,4,7,9,11,12,14],[2,5,6,7,8,9,14],[2,5,6,7,10,12,13],[2,5,8,9,10,12,13],[3,4,5,6,11,12,13],[3,4,5,7,9,11,13],[3,4,5,8,10,12,14],[3,4,7,8,10,12,14],[3,5,6,9,10,11,14],[3,6,7,8,9,10,13]]; G[377]:=Group([(1,4)(2,5)(6,7)(8,9)(10,13)]); # Design 378: autom. group order 2, simple, residual B[378]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,11,12],[1,2,3,9,12,13,14],[1,2,4,5,10,13,14],[1,3,6,9,12,13,14],[1,4,6,7,8,9,13],[1,4,6,7,10,12,14],[1,4,8,9,10,11,14],[1,5,6,8,11,12,13],[1,5,7,8,11,13,14],[1,5,7,9,10,11,12],[2,3,7,8,11,13,14],[2,4,6,8,11,12,14],[2,4,6,9,10,11,13],[2,4,7,9,11,12,13],[2,5,6,7,8,9,12],[2,5,6,7,10,13,14],[2,5,8,9,10,12,14],[3,4,5,6,11,12,14],[3,4,5,7,9,11,14],[3,4,5,8,10,12,13],[3,4,7,8,10,12,13],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[378]:=Group([(1,4)(2,5)(6,7)(8,9)(10,14)]); # Design 379: autom. group order 2, simple, residual B[379]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,10,13,14],[1,3,6,9,11,13,14],[1,4,6,7,8,9,12],[1,4,6,7,10,12,14],[1,4,8,9,10,13,14],[1,5,6,8,11,12,13],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,7,8,12,13,14],[2,4,6,8,11,13,14],[2,4,6,9,10,11,12],[2,4,7,9,11,12,13],[2,5,6,7,8,9,13],[2,5,6,7,10,11,14],[2,5,8,9,10,12,14],[3,4,5,6,12,13,14],[3,4,5,7,9,11,14],[3,4,5,8,10,11,12],[3,4,7,8,10,11,13],[3,5,6,9,10,12,13],[3,6,7,8,9,10,14]]; G[379]:=Group([(1,4)(2,5)(6,7)(8,9)(10,14)]); # Design 380: autom. group order 2, simple, residual B[380]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,10,13,14],[1,3,6,9,11,13,14],[1,4,6,7,8,9,12],[1,4,6,7,10,12,14],[1,4,8,9,10,13,14],[1,5,6,8,11,12,13],[1,5,7,8,11,13,14],[1,5,7,9,10,11,12],[2,3,7,8,12,13,14],[2,4,6,8,11,12,14],[2,4,6,9,10,11,13],[2,4,7,9,11,12,13],[2,5,6,7,8,9,13],[2,5,6,7,10,11,14],[2,5,8,9,10,12,14],[3,4,5,6,12,13,14],[3,4,5,7,9,11,14],[3,4,5,8,10,11,12],[3,4,7,8,10,11,13],[3,5,6,9,10,12,13],[3,6,7,8,9,10,14]]; G[380]:=Group([(1,4)(2,5)(6,7)(8,9)(10,14)]); # Design 381: autom. group order 2, simple B[381]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,10,13,14],[1,3,6,9,11,13,14],[1,4,6,7,8,9,13],[1,4,6,7,10,12,14],[1,4,8,9,10,12,14],[1,5,6,8,11,12,13],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,7,8,12,13,14],[2,4,6,8,11,13,14],[2,4,6,9,10,11,12],[2,4,7,9,11,12,13],[2,5,6,7,8,9,12],[2,5,6,7,10,11,14],[2,5,8,9,10,13,14],[3,4,5,6,12,13,14],[3,4,5,7,9,11,14],[3,4,5,8,10,11,12],[3,4,7,8,10,11,13],[3,5,6,9,10,12,13],[3,6,7,8,9,10,14]]; G[381]:=Group([(1,4)(2,5)(6,7)(8,9)(10,14)]); # Design 382: autom. group order 2, simple B[382]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,10,13,14],[1,3,6,9,11,13,14],[1,4,6,7,8,9,13],[1,4,6,7,10,12,14],[1,4,8,9,10,12,14],[1,5,6,8,11,12,13],[1,5,7,8,11,13,14],[1,5,7,9,10,11,12],[2,3,7,8,12,13,14],[2,4,6,8,11,12,14],[2,4,6,9,10,11,13],[2,4,7,9,11,12,13],[2,5,6,7,8,9,12],[2,5,6,7,10,11,14],[2,5,8,9,10,13,14],[3,4,5,6,12,13,14],[3,4,5,7,9,11,14],[3,4,5,8,10,11,12],[3,4,7,8,10,11,13],[3,5,6,9,10,12,13],[3,6,7,8,9,10,14]]; G[382]:=Group([(1,4)(2,5)(6,7)(8,9)(10,14)]); # Design 383: autom. group order 2, simple B[383]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,10,13,14],[1,3,6,9,12,13,14],[1,4,6,7,8,9,12],[1,4,6,7,10,11,14],[1,4,8,9,10,13,14],[1,5,6,8,11,12,13],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,7,8,11,13,14],[2,4,6,8,11,13,14],[2,4,6,9,10,11,12],[2,4,7,9,11,12,13],[2,5,6,7,8,9,13],[2,5,6,7,10,12,14],[2,5,8,9,10,12,14],[3,4,5,6,12,13,14],[3,4,5,7,9,11,14],[3,4,5,8,10,11,12],[3,4,7,8,10,12,13],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[383]:=Group([(1,4)(2,5)(6,7)(8,9)(10,14)]); # Design 384: autom. group order 2, simple B[384]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,10,13,14],[1,3,6,9,12,13,14],[1,4,6,7,8,9,12],[1,4,6,7,10,11,14],[1,4,8,9,10,13,14],[1,5,6,8,11,12,13],[1,5,7,8,11,13,14],[1,5,7,9,10,11,12],[2,3,7,8,11,13,14],[2,4,6,8,11,12,14],[2,4,6,9,10,11,13],[2,4,7,9,11,12,13],[2,5,6,7,8,9,13],[2,5,6,7,10,12,14],[2,5,8,9,10,12,14],[3,4,5,6,12,13,14],[3,4,5,7,9,11,14],[3,4,5,8,10,11,12],[3,4,7,8,10,12,13],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[384]:=Group([(1,4)(2,5)(6,7)(8,9)(10,14)]); # Design 385: autom. group order 2, simple, residual B[385]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,10,13,14],[1,3,6,9,12,13,14],[1,4,6,7,8,9,13],[1,4,6,7,10,11,14],[1,4,8,9,10,12,14],[1,5,6,8,11,12,13],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,7,8,11,13,14],[2,4,6,8,11,13,14],[2,4,6,9,10,11,12],[2,4,7,9,11,12,13],[2,5,6,7,8,9,12],[2,5,6,7,10,12,14],[2,5,8,9,10,13,14],[3,4,5,6,12,13,14],[3,4,5,7,9,11,14],[3,4,5,8,10,11,12],[3,4,7,8,10,12,13],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[385]:=Group([(1,4)(2,5)(6,7)(8,9)(10,14)]); # Design 386: autom. group order 2, simple, residual B[386]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,10,13,14],[1,3,6,9,12,13,14],[1,4,6,7,8,9,13],[1,4,6,7,10,11,14],[1,4,8,9,10,12,14],[1,5,6,8,11,12,13],[1,5,7,8,11,13,14],[1,5,7,9,10,11,12],[2,3,7,8,11,13,14],[2,4,6,8,11,12,14],[2,4,6,9,10,11,13],[2,4,7,9,11,12,13],[2,5,6,7,8,9,12],[2,5,6,7,10,12,14],[2,5,8,9,10,13,14],[3,4,5,6,12,13,14],[3,4,5,7,9,11,14],[3,4,5,8,10,11,12],[3,4,7,8,10,12,13],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[386]:=Group([(1,4)(2,5)(6,7)(8,9)(10,14)]); # Design 387: autom. group order 2, simple B[387]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,12,13,14],[1,2,4,5,10,11,14],[1,3,6,9,11,12,14],[1,4,6,7,8,9,12],[1,4,6,7,10,13,14],[1,4,8,9,10,13,14],[1,5,6,8,11,12,13],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,7,8,11,13,14],[2,4,6,8,11,13,14],[2,4,6,9,10,11,12],[2,4,7,9,11,12,13],[2,5,6,7,8,9,13],[2,5,6,7,10,12,14],[2,5,8,9,10,12,14],[3,4,5,6,12,13,14],[3,4,5,7,9,11,14],[3,4,5,8,10,12,13],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[387]:=Group([(1,4)(2,5)(6,7)(8,9)(10,14)]); # Design 388: autom. group order 2, simple B[388]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,12,13,14],[1,2,4,5,10,11,14],[1,3,6,9,11,12,14],[1,4,6,7,8,9,12],[1,4,6,7,10,13,14],[1,4,8,9,10,13,14],[1,5,6,8,11,12,13],[1,5,7,8,11,13,14],[1,5,7,9,10,11,12],[2,3,7,8,11,13,14],[2,4,6,8,11,12,14],[2,4,6,9,10,11,13],[2,4,7,9,11,12,13],[2,5,6,7,8,9,13],[2,5,6,7,10,12,14],[2,5,8,9,10,12,14],[3,4,5,6,12,13,14],[3,4,5,7,9,11,14],[3,4,5,8,10,12,13],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[388]:=Group([(1,4)(2,5)(6,7)(8,9)(10,14)]); # Design 389: autom. group order 2, simple B[389]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,12,13,14],[1,2,4,5,10,11,14],[1,3,6,9,11,12,14],[1,4,6,7,8,9,13],[1,4,6,7,10,12,14],[1,4,8,9,10,13,14],[1,5,6,8,11,12,13],[1,5,7,8,11,13,14],[1,5,7,9,10,11,12],[2,3,7,8,11,13,14],[2,4,6,8,11,12,14],[2,4,6,9,10,11,13],[2,4,7,9,11,12,13],[2,5,6,7,8,9,12],[2,5,6,7,10,13,14],[2,5,8,9,10,12,14],[3,4,5,6,12,13,14],[3,4,5,7,9,11,14],[3,4,5,8,10,12,13],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[389]:=Group([(1,4)(2,5)(6,7)(8,9)(10,14)]); # Design 390: autom. group order 2, simple B[390]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,12,13,14],[1,2,4,5,10,11,14],[1,3,6,9,11,12,14],[1,4,6,7,8,9,13],[1,4,6,7,10,13,14],[1,4,8,9,10,12,14],[1,5,6,8,11,12,13],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,7,8,11,13,14],[2,4,6,8,11,13,14],[2,4,6,9,10,11,12],[2,4,7,9,11,12,13],[2,5,6,7,8,9,12],[2,5,6,7,10,12,14],[2,5,8,9,10,13,14],[3,4,5,6,12,13,14],[3,4,5,7,9,11,14],[3,4,5,8,10,12,13],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[390]:=Group([(1,4)(2,5)(6,7)(8,9)(10,14)]); # Design 391: autom. group order 2, simple B[391]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,12,13,14],[1,2,4,5,10,11,14],[1,3,6,9,11,12,14],[1,4,6,7,8,9,13],[1,4,6,7,10,13,14],[1,4,8,9,10,12,14],[1,5,6,8,11,12,13],[1,5,7,8,11,13,14],[1,5,7,9,10,11,12],[2,3,7,8,11,13,14],[2,4,6,8,11,12,14],[2,4,6,9,10,11,13],[2,4,7,9,11,12,13],[2,5,6,7,8,9,12],[2,5,6,7,10,12,14],[2,5,8,9,10,13,14],[3,4,5,6,12,13,14],[3,4,5,7,9,11,14],[3,4,5,8,10,12,13],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[391]:=Group([(1,4)(2,5)(6,7)(8,9)(10,14)]); # Design 392: autom. group order 2, simple, residual B[392]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,11,12],[1,2,3,9,12,13,14],[1,2,4,5,10,13,14],[1,3,6,9,11,13,14],[1,4,6,7,8,9,12],[1,4,6,7,10,13,14],[1,4,8,9,11,12,13],[1,5,6,8,10,12,14],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,7,8,12,13,14],[2,4,6,8,11,13,14],[2,4,6,9,10,11,12],[2,4,7,9,10,12,14],[2,5,6,7,8,9,13],[2,5,6,7,11,12,13],[2,5,8,9,10,11,14],[3,4,5,6,11,12,14],[3,4,5,7,9,11,14],[3,4,5,8,10,12,13],[3,4,7,8,10,11,13],[3,5,6,9,10,12,13],[3,6,7,8,9,10,14]]; G[392]:=Group([(1,4)(2,5)(6,7)(8,9)(10,14)]); # Design 393: autom. group order 2, simple, residual B[393]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,11,12],[1,2,3,9,12,13,14],[1,2,4,5,10,13,14],[1,3,6,9,11,13,14],[1,4,6,7,8,9,12],[1,4,6,7,10,13,14],[1,4,8,9,11,12,13],[1,5,6,8,10,12,14],[1,5,7,8,11,13,14],[1,5,7,9,10,11,12],[2,3,7,8,12,13,14],[2,4,6,8,11,12,14],[2,4,6,9,10,11,13],[2,4,7,9,10,12,14],[2,5,6,7,8,9,13],[2,5,6,7,11,12,13],[2,5,8,9,10,11,14],[3,4,5,6,11,12,14],[3,4,5,7,9,11,14],[3,4,5,8,10,12,13],[3,4,7,8,10,11,13],[3,5,6,9,10,12,13],[3,6,7,8,9,10,14]]; G[393]:=Group([(1,4)(2,5)(6,7)(8,9)(10,14)]); # Design 394: autom. group order 2, simple, residual B[394]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,10,13,14],[1,3,6,9,12,13,14],[1,4,6,7,8,9,13],[1,4,6,7,10,11,14],[1,4,8,9,11,12,13],[1,5,6,8,10,12,14],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,7,8,11,13,14],[2,4,6,8,11,13,14],[2,4,6,9,10,11,12],[2,4,7,9,10,12,14],[2,5,6,7,8,9,12],[2,5,6,7,11,12,13],[2,5,8,9,10,13,14],[3,4,5,6,12,13,14],[3,4,5,7,9,11,14],[3,4,5,8,10,11,12],[3,4,7,8,10,12,13],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[394]:=Group([(1,4)(2,5)(6,7)(8,9)(10,14)]); # Design 395: autom. group order 2, simple, residual B[395]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,10,13,14],[1,3,6,9,12,13,14],[1,4,6,7,8,9,13],[1,4,6,7,10,11,14],[1,4,8,9,11,12,13],[1,5,6,8,10,12,14],[1,5,7,8,11,13,14],[1,5,7,9,10,11,12],[2,3,7,8,11,13,14],[2,4,6,8,11,12,14],[2,4,6,9,10,11,13],[2,4,7,9,10,12,14],[2,5,6,7,8,9,12],[2,5,6,7,11,12,13],[2,5,8,9,10,13,14],[3,4,5,6,12,13,14],[3,4,5,7,9,11,14],[3,4,5,8,10,11,12],[3,4,7,8,10,12,13],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[395]:=Group([(1,4)(2,5)(6,7)(8,9)(10,14)]); # Design 396: autom. group order 2, simple, residual B[396]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,12,13,14],[1,2,4,5,10,11,14],[1,3,6,9,11,12,14],[1,4,6,7,8,9,13],[1,4,6,7,10,12,14],[1,4,8,9,11,12,13],[1,5,6,8,10,13,14],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,7,8,11,13,14],[2,4,6,8,11,13,14],[2,4,6,9,10,11,12],[2,4,7,9,10,13,14],[2,5,6,7,8,9,12],[2,5,6,7,11,12,13],[2,5,8,9,10,12,14],[3,4,5,6,12,13,14],[3,4,5,7,9,11,14],[3,4,5,8,10,12,13],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[396]:=Group([(1,4)(2,5)(6,7)(8,9)(10,14)]); # Design 397: autom. group order 2, simple, residual B[397]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,12,13,14],[1,2,4,5,10,11,14],[1,3,6,9,11,12,14],[1,4,6,7,8,9,13],[1,4,6,7,10,12,14],[1,4,8,9,11,12,13],[1,5,6,8,10,13,14],[1,5,7,8,11,13,14],[1,5,7,9,10,11,12],[2,3,7,8,11,13,14],[2,4,6,8,11,12,14],[2,4,6,9,10,11,13],[2,4,7,9,10,13,14],[2,5,6,7,8,9,12],[2,5,6,7,11,12,13],[2,5,8,9,10,12,14],[3,4,5,6,12,13,14],[3,4,5,7,9,11,14],[3,4,5,8,10,12,13],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[397]:=Group([(1,4)(2,5)(6,7)(8,9)(10,14)]); # Design 398: autom. group order 2, simple, residual B[398]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,12,13,14],[1,2,4,5,10,11,14],[1,3,6,9,11,12,14],[1,4,6,7,8,9,13],[1,4,6,7,10,13,14],[1,4,8,9,11,12,13],[1,5,6,8,10,12,14],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,7,8,11,13,14],[2,4,6,8,11,13,14],[2,4,6,9,10,11,12],[2,4,7,9,10,12,14],[2,5,6,7,8,9,12],[2,5,6,7,11,12,13],[2,5,8,9,10,13,14],[3,4,5,6,12,13,14],[3,4,5,7,9,11,14],[3,4,5,8,10,12,13],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[398]:=Group([(1,4)(2,5)(6,7)(8,9)(10,14)]); # Design 399: autom. group order 2, simple, residual B[399]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,12,13,14],[1,2,4,5,10,11,14],[1,3,6,9,11,12,14],[1,4,6,7,8,9,13],[1,4,6,7,10,13,14],[1,4,8,9,11,12,13],[1,5,6,8,10,12,14],[1,5,7,8,11,13,14],[1,5,7,9,10,11,12],[2,3,7,8,11,13,14],[2,4,6,8,11,12,14],[2,4,6,9,10,11,13],[2,4,7,9,10,12,14],[2,5,6,7,8,9,12],[2,5,6,7,11,12,13],[2,5,8,9,10,13,14],[3,4,5,6,12,13,14],[3,4,5,7,9,11,14],[3,4,5,8,10,12,13],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[399]:=Group([(1,4)(2,5)(6,7)(8,9)(10,14)]); # Design 400: autom. group order 2, simple, residual B[400]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,11,12],[1,2,3,9,12,13,14],[1,2,4,5,10,13,14],[1,3,6,9,12,13,14],[1,4,6,7,8,9,13],[1,4,6,7,11,12,13],[1,4,8,9,10,11,14],[1,5,6,8,10,12,14],[1,5,7,8,11,13,14],[1,5,7,9,10,11,12],[2,3,7,8,11,13,14],[2,4,6,8,11,12,14],[2,4,6,9,10,11,13],[2,4,7,9,10,12,14],[2,5,6,7,8,9,12],[2,5,6,7,10,13,14],[2,5,8,9,11,12,13],[3,4,5,6,11,12,14],[3,4,5,7,9,11,14],[3,4,5,8,10,12,13],[3,4,7,8,10,12,13],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[400]:=Group([(1,4)(2,5)(6,7)(8,9)(10,14)]); # Design 401: autom. group order 2, simple, residual B[401]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,10,13,14],[1,3,6,9,11,13,14],[1,4,6,7,8,9,12],[1,4,6,7,11,12,13],[1,4,8,9,10,13,14],[1,5,6,8,10,12,14],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,7,8,12,13,14],[2,4,6,8,11,13,14],[2,4,6,9,10,11,12],[2,4,7,9,10,12,14],[2,5,6,7,8,9,13],[2,5,6,7,10,11,14],[2,5,8,9,11,12,13],[3,4,5,6,12,13,14],[3,4,5,7,9,11,14],[3,4,5,8,10,11,12],[3,4,7,8,10,11,13],[3,5,6,9,10,12,13],[3,6,7,8,9,10,14]]; G[401]:=Group([(1,4)(2,5)(6,7)(8,9)(10,14)]); # Design 402: autom. group order 2, simple, residual B[402]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,10,13,14],[1,3,6,9,11,13,14],[1,4,6,7,8,9,12],[1,4,6,7,11,12,13],[1,4,8,9,10,13,14],[1,5,6,8,10,12,14],[1,5,7,8,11,13,14],[1,5,7,9,10,11,12],[2,3,7,8,12,13,14],[2,4,6,8,11,12,14],[2,4,6,9,10,11,13],[2,4,7,9,10,12,14],[2,5,6,7,8,9,13],[2,5,6,7,10,11,14],[2,5,8,9,11,12,13],[3,4,5,6,12,13,14],[3,4,5,7,9,11,14],[3,4,5,8,10,11,12],[3,4,7,8,10,11,13],[3,5,6,9,10,12,13],[3,6,7,8,9,10,14]]; G[402]:=Group([(1,4)(2,5)(6,7)(8,9)(10,14)]); # Design 403: autom. group order 2, simple, residual B[403]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,12,13,14],[1,2,4,5,10,11,14],[1,3,6,9,11,12,14],[1,4,6,7,8,9,13],[1,4,6,7,11,12,13],[1,4,8,9,10,12,14],[1,5,6,8,10,13,14],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,7,8,11,13,14],[2,4,6,8,11,13,14],[2,4,6,9,10,11,12],[2,4,7,9,10,13,14],[2,5,6,7,8,9,12],[2,5,6,7,10,12,14],[2,5,8,9,11,12,13],[3,4,5,6,12,13,14],[3,4,5,7,9,11,14],[3,4,5,8,10,12,13],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[403]:=Group([(1,4)(2,5)(6,7)(8,9)(10,14)]); # Design 404: autom. group order 2, simple, residual B[404]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,12,13,14],[1,2,4,5,10,11,14],[1,3,6,9,11,12,14],[1,4,6,7,8,9,13],[1,4,6,7,11,12,13],[1,4,8,9,10,12,14],[1,5,6,8,10,13,14],[1,5,7,8,11,13,14],[1,5,7,9,10,11,12],[2,3,7,8,11,13,14],[2,4,6,8,11,12,14],[2,4,6,9,10,11,13],[2,4,7,9,10,13,14],[2,5,6,7,8,9,12],[2,5,6,7,10,12,14],[2,5,8,9,11,12,13],[3,4,5,6,12,13,14],[3,4,5,7,9,11,14],[3,4,5,8,10,12,13],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[404]:=Group([(1,4)(2,5)(6,7)(8,9)(10,14)]); # Design 405: autom. group order 2, simple, residual B[405]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,12,13,14],[1,2,4,5,10,11,14],[1,3,6,9,11,12,14],[1,4,6,7,8,9,13],[1,4,6,7,11,12,13],[1,4,8,9,10,13,14],[1,5,6,8,10,12,14],[1,5,7,8,11,13,14],[1,5,7,9,10,11,12],[2,3,7,8,11,13,14],[2,4,6,8,11,12,14],[2,4,6,9,10,11,13],[2,4,7,9,10,12,14],[2,5,6,7,8,9,12],[2,5,6,7,10,13,14],[2,5,8,9,11,12,13],[3,4,5,6,12,13,14],[3,4,5,7,9,11,14],[3,4,5,8,10,12,13],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[405]:=Group([(1,4)(2,5)(6,7)(8,9)(10,14)]); # Design 406: autom. group order 2, simple, residual B[406]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,12,13,14],[1,2,4,5,11,12,14],[1,3,6,9,10,11,14],[1,4,6,7,8,9,13],[1,4,6,7,11,12,14],[1,4,8,9,10,13,14],[1,5,6,8,10,12,13],[1,5,7,8,11,12,13],[1,5,7,9,10,11,14],[2,3,7,8,11,13,14],[2,4,6,8,10,12,14],[2,4,6,9,11,12,13],[2,4,7,9,10,11,13],[2,5,6,7,8,9,14],[2,5,6,7,10,13,14],[2,5,8,9,10,11,12],[3,4,5,6,10,11,13],[3,4,5,7,9,10,12],[3,4,5,8,11,13,14],[3,4,7,8,10,12,14],[3,5,6,9,12,13,14],[3,6,7,8,9,11,12]]; G[406]:=Group([(1,4)(2,5)(6,7)(8,9)(11,12)]); # Design 407: autom. group order 2, simple, residual B[407]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,12,13,14],[1,2,4,5,11,12,14],[1,3,6,9,10,11,14],[1,4,6,7,8,9,13],[1,4,6,7,11,12,14],[1,4,8,9,10,13,14],[1,5,6,8,10,12,14],[1,5,7,8,11,12,13],[1,5,7,9,10,11,13],[2,3,7,8,11,13,14],[2,4,6,8,10,12,13],[2,4,6,9,11,12,13],[2,4,7,9,10,11,14],[2,5,6,7,8,9,14],[2,5,6,7,10,13,14],[2,5,8,9,10,11,12],[3,4,5,6,10,11,13],[3,4,5,7,9,10,12],[3,4,5,8,11,13,14],[3,4,7,8,10,12,14],[3,5,6,9,12,13,14],[3,6,7,8,9,11,12]]; G[407]:=Group([(1,4)(2,5)(6,7)(8,9)(11,12)]); # Design 408: autom. group order 2, simple, residual B[408]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,12,13,14],[1,2,4,5,11,12,14],[1,3,6,9,10,11,14],[1,4,6,7,8,9,13],[1,4,6,7,11,12,14],[1,4,8,9,11,12,13],[1,5,6,8,10,12,13],[1,5,7,8,10,13,14],[1,5,7,9,10,11,14],[2,3,7,8,11,13,14],[2,4,6,8,10,12,14],[2,4,6,9,10,13,14],[2,4,7,9,10,11,13],[2,5,6,7,8,9,14],[2,5,6,7,11,12,13],[2,5,8,9,10,11,12],[3,4,5,6,10,11,13],[3,4,5,7,9,10,12],[3,4,5,8,11,13,14],[3,4,7,8,10,12,14],[3,5,6,9,12,13,14],[3,6,7,8,9,11,12]]; G[408]:=Group([(1,4)(2,5)(6,7)(8,9)(11,12)]); # Design 409: autom. group order 2, simple, residual B[409]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,12,13,14],[1,2,4,5,11,12,14],[1,3,6,9,10,11,14],[1,4,6,7,8,9,13],[1,4,6,7,11,12,14],[1,4,8,9,11,12,13],[1,5,6,8,10,12,14],[1,5,7,8,10,13,14],[1,5,7,9,10,11,13],[2,3,7,8,11,13,14],[2,4,6,8,10,12,13],[2,4,6,9,10,13,14],[2,4,7,9,10,11,14],[2,5,6,7,8,9,14],[2,5,6,7,11,12,13],[2,5,8,9,10,11,12],[3,4,5,6,10,11,13],[3,4,5,7,9,10,12],[3,4,5,8,11,13,14],[3,4,7,8,10,12,14],[3,5,6,9,12,13,14],[3,6,7,8,9,11,12]]; G[409]:=Group([(1,4)(2,5)(6,7)(8,9)(11,12)]); # Design 410: autom. group order 2, simple B[410]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,12,13,14],[1,2,4,5,11,12,14],[1,3,6,9,10,11,14],[1,4,6,7,8,9,14],[1,4,6,7,11,12,13],[1,4,8,9,11,12,13],[1,5,6,8,10,12,13],[1,5,7,8,10,13,14],[1,5,7,9,10,11,14],[2,3,7,8,11,13,14],[2,4,6,8,10,12,14],[2,4,6,9,10,13,14],[2,4,7,9,10,11,13],[2,5,6,7,8,9,13],[2,5,6,7,11,12,14],[2,5,8,9,10,11,12],[3,4,5,6,10,11,13],[3,4,5,7,9,10,12],[3,4,5,8,11,13,14],[3,4,7,8,10,12,14],[3,5,6,9,12,13,14],[3,6,7,8,9,11,12]]; G[410]:=Group([(1,4)(2,5)(6,7)(8,9)(11,12)]); # Design 411: autom. group order 2, simple B[411]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,12,13,14],[1,2,4,5,11,12,14],[1,3,6,9,10,11,14],[1,4,6,7,8,9,14],[1,4,6,7,11,12,13],[1,4,8,9,11,12,13],[1,5,6,8,10,12,14],[1,5,7,8,10,13,14],[1,5,7,9,10,11,13],[2,3,7,8,11,13,14],[2,4,6,8,10,12,13],[2,4,6,9,10,13,14],[2,4,7,9,10,11,14],[2,5,6,7,8,9,13],[2,5,6,7,11,12,14],[2,5,8,9,10,11,12],[3,4,5,6,10,11,13],[3,4,5,7,9,10,12],[3,4,5,8,11,13,14],[3,4,7,8,10,12,14],[3,5,6,9,12,13,14],[3,6,7,8,9,11,12]]; G[411]:=Group([(1,4)(2,5)(6,7)(8,9)(11,12)]); # Design 412: autom. group order 2, simple, residual B[412]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,12,13,14],[1,2,4,5,11,12,14],[1,3,6,9,11,13,14],[1,4,6,7,8,9,14],[1,4,6,7,10,13,14],[1,4,8,9,10,11,12],[1,5,6,8,10,12,14],[1,5,7,8,11,12,13],[1,5,7,9,10,11,13],[2,3,7,8,10,11,14],[2,4,6,8,10,12,13],[2,4,6,9,11,12,13],[2,4,7,9,10,11,14],[2,5,6,7,8,9,13],[2,5,6,7,11,12,14],[2,5,8,9,10,13,14],[3,4,5,6,10,11,13],[3,4,5,7,9,10,12],[3,4,5,8,11,13,14],[3,4,7,8,12,13,14],[3,5,6,9,10,12,14],[3,6,7,8,9,11,12]]; G[412]:=Group([(1,4)(2,5)(6,7)(8,9)(11,12)]); # Design 413: autom. group order 2, simple B[413]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,12,13,14],[1,2,4,5,11,12,14],[1,3,6,9,11,13,14],[1,4,6,7,8,9,13],[1,4,6,7,11,12,14],[1,4,8,9,10,11,12],[1,5,6,8,10,12,13],[1,5,7,8,10,13,14],[1,5,7,9,10,11,14],[2,3,7,8,10,11,14],[2,4,6,8,10,12,14],[2,4,6,9,10,13,14],[2,4,7,9,10,11,13],[2,5,6,7,8,9,14],[2,5,6,7,11,12,13],[2,5,8,9,11,12,13],[3,4,5,6,10,11,13],[3,4,5,7,9,10,12],[3,4,5,8,11,13,14],[3,4,7,8,12,13,14],[3,5,6,9,10,12,14],[3,6,7,8,9,11,12]]; G[413]:=Group([(1,4)(2,5)(6,7)(8,9)(11,12)]); # Design 414: autom. group order 2, simple, residual B[414]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,12,13,14],[1,2,4,5,11,12,14],[1,3,6,9,11,13,14],[1,4,6,7,8,9,14],[1,4,6,7,11,12,13],[1,4,8,9,10,11,12],[1,5,6,8,10,12,14],[1,5,7,8,10,13,14],[1,5,7,9,10,11,13],[2,3,7,8,10,11,14],[2,4,6,8,10,12,13],[2,4,6,9,10,13,14],[2,4,7,9,10,11,14],[2,5,6,7,8,9,13],[2,5,6,7,11,12,14],[2,5,8,9,11,12,13],[3,4,5,6,10,11,13],[3,4,5,7,9,10,12],[3,4,5,8,11,13,14],[3,4,7,8,12,13,14],[3,5,6,9,10,12,14],[3,6,7,8,9,11,12]]; G[414]:=Group([(1,4)(2,5)(6,7)(8,9)(11,12)]); # Design 415: autom. group order 2, simple B[415]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,12,13,14],[1,2,4,5,10,11,12],[1,3,6,9,10,11,13],[1,4,6,7,8,9,14],[1,4,6,7,10,12,13],[1,4,8,9,10,12,14],[1,5,6,8,11,12,14],[1,5,7,8,11,13,14],[1,5,7,9,10,11,13],[2,3,7,8,10,11,14],[2,4,6,8,11,12,13],[2,4,6,9,11,13,14],[2,4,7,9,10,11,14],[2,5,6,7,8,9,13],[2,5,6,7,10,12,14],[2,5,8,9,10,12,13],[3,4,5,6,10,13,14],[3,4,5,7,9,11,12],[3,4,5,8,10,13,14],[3,4,7,8,11,12,13],[3,5,6,9,11,12,14],[3,6,7,8,9,10,12]]; G[415]:=Group([(1,4)(2,5)(6,7)(8,9)(10,12)]); # Design 416: autom. group order 2, simple, residual B[416]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,12,13,14],[1,2,4,5,10,11,12],[1,3,6,9,10,11,13],[1,4,6,7,8,9,14],[1,4,6,7,10,13,14],[1,4,8,9,11,12,13],[1,5,6,8,10,12,14],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,7,8,10,11,14],[2,4,6,8,10,12,13],[2,4,6,9,11,12,14],[2,4,7,9,10,11,14],[2,5,6,7,8,9,13],[2,5,6,7,11,12,13],[2,5,8,9,10,13,14],[3,4,5,6,11,13,14],[3,4,5,7,9,10,12],[3,4,5,8,11,13,14],[3,4,7,8,10,12,13],[3,5,6,9,10,12,14],[3,6,7,8,9,11,12]]; G[416]:=Group([(1,4)(2,5)(6,7)(8,9)(11,12)]); # Design 417: autom. group order 2, simple, residual B[417]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,12,13,14],[1,2,4,5,10,11,12],[1,3,6,9,10,11,13],[1,4,6,7,8,9,14],[1,4,6,7,10,12,13],[1,4,8,9,11,13,14],[1,5,6,8,11,12,13],[1,5,7,8,10,12,14],[1,5,7,9,10,11,14],[2,3,7,8,10,11,14],[2,4,6,8,11,12,14],[2,4,6,9,10,12,14],[2,4,7,9,10,11,13],[2,5,6,7,8,9,13],[2,5,6,7,11,13,14],[2,5,8,9,10,12,13],[3,4,5,6,10,13,14],[3,4,5,7,9,11,12],[3,4,5,8,10,13,14],[3,4,7,8,11,12,13],[3,5,6,9,11,12,14],[3,6,7,8,9,10,12]]; G[417]:=Group([(1,4)(2,5)(6,7)(8,9)(10,12)]); # Design 418: autom. group order 2, simple, residual B[418]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,12,13,14],[1,2,4,5,10,11,12],[1,3,6,9,10,11,13],[1,4,6,7,8,9,14],[1,4,6,7,10,12,13],[1,4,8,9,11,13,14],[1,5,6,8,11,12,14],[1,5,7,8,10,12,14],[1,5,7,9,10,11,13],[2,3,7,8,10,11,14],[2,4,6,8,11,12,13],[2,4,6,9,10,12,14],[2,4,7,9,10,11,14],[2,5,6,7,8,9,13],[2,5,6,7,11,13,14],[2,5,8,9,10,12,13],[3,4,5,6,10,13,14],[3,4,5,7,9,11,12],[3,4,5,8,10,13,14],[3,4,7,8,11,12,13],[3,5,6,9,11,12,14],[3,6,7,8,9,10,12]]; G[418]:=Group([(1,4)(2,5)(6,7)(8,9)(10,12)]); # Design 419: autom. group order 2, simple, residual B[419]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,10,12],[1,2,3,11,12,13,14],[1,2,4,5,10,13,14],[1,3,6,9,11,13,14],[1,4,6,7,8,11,13],[1,4,6,7,10,12,14],[1,4,8,9,10,13,14],[1,5,6,8,9,12,13],[1,5,7,8,10,11,12],[1,5,7,9,11,12,14],[2,3,7,8,12,13,14],[2,4,6,8,11,12,14],[2,4,6,9,10,11,12],[2,4,7,8,9,12,13],[2,5,6,7,9,11,13],[2,5,6,7,10,13,14],[2,5,8,9,10,11,14],[3,4,5,6,9,12,14],[3,4,5,7,8,11,14],[3,4,5,10,11,12,13],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[3,6,7,8,9,10,14]]; G[419]:=Group([(1,4)(2,5)(6,7)(10,14)]); # Design 420: autom. group order 2, simple, residual B[420]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,10,12],[1,2,3,11,12,13,14],[1,2,4,5,10,13,14],[1,3,6,9,11,13,14],[1,4,6,7,8,11,13],[1,4,6,7,10,12,14],[1,4,8,9,10,13,14],[1,5,6,8,9,12,13],[1,5,7,8,11,12,14],[1,5,7,9,10,11,12],[2,3,7,8,12,13,14],[2,4,6,8,10,11,12],[2,4,6,9,11,12,14],[2,4,7,8,9,12,13],[2,5,6,7,9,11,13],[2,5,6,7,10,13,14],[2,5,8,9,10,11,14],[3,4,5,6,9,12,14],[3,4,5,7,8,11,14],[3,4,5,10,11,12,13],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[3,6,7,8,9,10,14]]; G[420]:=Group([(1,4)(2,5)(6,7)(10,14)]); # Design 421: autom. group order 2, simple, residual B[421]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,10,13,14],[1,3,6,9,11,13,14],[1,4,6,7,8,11,14],[1,4,6,7,10,12,13],[1,4,8,9,10,13,14],[1,5,6,8,11,12,13],[1,5,7,8,9,12,14],[1,5,7,9,10,11,12],[2,3,7,8,12,13,14],[2,4,6,8,9,12,14],[2,4,6,9,11,12,13],[2,4,7,8,10,11,12],[2,5,6,7,9,11,14],[2,5,6,7,10,13,14],[2,5,8,9,10,11,13],[3,4,5,6,9,10,12],[3,4,5,7,8,11,13],[3,4,5,11,12,13,14],[3,4,7,9,10,11,14],[3,5,6,8,10,12,14],[3,6,7,8,9,10,13]]; G[421]:=Group([(1,4)(2,5)(6,7)(10,13)]); # Design 422: autom. group order 2, simple, residual B[422]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,10,13,14],[1,3,6,9,11,13,14],[1,4,6,7,8,12,14],[1,4,6,7,10,13,14],[1,4,8,9,10,12,13],[1,5,6,8,11,12,13],[1,5,7,8,9,11,14],[1,5,7,9,10,11,12],[2,3,7,8,12,13,14],[2,4,6,8,9,11,14],[2,4,6,9,11,12,13],[2,4,7,8,10,11,12],[2,5,6,7,9,12,14],[2,5,6,7,10,11,13],[2,5,8,9,10,13,14],[3,4,5,6,9,10,12],[3,4,5,7,8,11,13],[3,4,5,11,12,13,14],[3,4,7,9,10,11,14],[3,5,6,8,10,12,14],[3,6,7,8,9,10,13]]; G[422]:=Group([(1,4)(2,5)(6,7)(10,13)]); # Design 423: autom. group order 2, simple, residual B[423]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,11,12,14],[1,3,6,9,10,11,14],[1,4,6,7,8,10,14],[1,4,6,7,11,12,13],[1,4,8,9,11,12,14],[1,5,6,8,10,12,13],[1,5,7,8,9,13,14],[1,5,7,9,10,11,13],[2,3,7,8,11,13,14],[2,4,6,8,9,13,14],[2,4,6,9,10,12,13],[2,4,7,8,10,11,13],[2,5,6,7,9,10,14],[2,5,6,7,11,12,14],[2,5,8,9,10,11,12],[3,4,5,6,9,11,13],[3,4,5,7,8,10,12],[3,4,5,10,11,13,14],[3,4,7,9,10,12,14],[3,5,6,8,12,13,14],[3,6,7,8,9,11,12]]; G[423]:=Group([(1,4)(2,5)(6,7)(11,12)]); # Design 424: autom. group order 2, simple, residual B[424]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,11,12,14],[1,3,6,9,10,11,14],[1,4,6,7,8,13,14],[1,4,6,7,11,12,14],[1,4,8,9,11,12,13],[1,5,6,8,10,12,13],[1,5,7,8,9,10,14],[1,5,7,9,10,11,13],[2,3,7,8,11,13,14],[2,4,6,8,9,10,14],[2,4,6,9,10,12,13],[2,4,7,8,10,11,13],[2,5,6,7,9,13,14],[2,5,6,7,10,11,12],[2,5,8,9,11,12,14],[3,4,5,6,9,11,13],[3,4,5,7,8,10,12],[3,4,5,10,11,13,14],[3,4,7,9,10,12,14],[3,5,6,8,12,13,14],[3,6,7,8,9,11,12]]; G[424]:=Group([(1,4)(2,5)(6,7)(11,12)]); # Design 425: autom. group order 2, simple B[425]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,11,13,14],[1,3,6,9,10,13,14],[1,4,6,7,8,9,14],[1,4,6,7,11,12,13],[1,4,8,10,11,13,14],[1,5,6,8,9,12,13],[1,5,7,8,10,12,14],[1,5,7,9,10,11,12],[2,3,7,8,12,13,14],[2,4,6,8,10,12,14],[2,4,6,9,10,12,13],[2,4,7,8,9,11,12],[2,5,6,7,9,10,14],[2,5,6,7,11,13,14],[2,5,8,9,10,11,13],[3,4,5,6,10,11,12],[3,4,5,7,8,10,13],[3,4,5,9,12,13,14],[3,4,7,9,10,11,14],[3,5,6,8,11,12,14],[3,6,7,8,9,11,13]]; G[425]:=Group([(1,4)(2,5)(6,7)(11,13)]); # Design 426: autom. group order 2, simple B[426]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,12,13,14],[1,2,4,5,11,12,14],[1,3,6,9,10,11,14],[1,4,6,7,8,9,14],[1,4,6,7,11,12,13],[1,4,8,10,11,12,14],[1,5,6,8,9,12,13],[1,5,7,8,10,13,14],[1,5,7,9,10,11,13],[2,3,7,8,11,13,14],[2,4,6,8,10,13,14],[2,4,6,9,10,12,13],[2,4,7,8,9,11,13],[2,5,6,7,9,10,14],[2,5,6,7,11,12,14],[2,5,8,9,10,11,12],[3,4,5,6,10,11,13],[3,4,5,7,8,10,12],[3,4,5,9,11,13,14],[3,4,7,9,10,12,14],[3,5,6,8,12,13,14],[3,6,7,8,9,11,12]]; G[426]:=Group([(1,4)(2,5)(6,7)(11,12)]); # Design 427: autom. group order 2, simple, residual B[427]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,11,13,14],[1,3,6,9,12,13,14],[1,4,6,7,8,9,14],[1,4,6,7,10,12,14],[1,4,8,10,11,12,13],[1,5,6,8,9,10,13],[1,5,7,8,10,11,14],[1,5,7,9,11,12,13],[2,3,7,8,10,13,14],[2,4,6,8,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,9,11,12],[2,5,6,7,9,10,12],[2,5,6,7,11,13,14],[2,5,8,9,10,12,14],[3,4,5,6,10,11,12],[3,4,5,7,8,12,13],[3,4,5,9,10,13,14],[3,4,7,9,10,11,14],[3,5,6,8,11,12,14],[3,6,7,8,9,11,13]]; G[427]:=Group([(1,4)(2,5)(6,7)(10,12)(11,13)]); # Design 428: autom. group order 2, simple, residual B[428]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,12,13,14],[1,2,4,5,11,12,14],[1,3,6,9,11,13,14],[1,4,6,7,8,9,14],[1,4,6,7,10,13,14],[1,4,8,10,11,12,13],[1,5,6,8,9,10,12],[1,5,7,8,11,13,14],[1,5,7,9,10,11,12],[2,3,7,8,10,11,14],[2,4,6,8,10,12,14],[2,4,6,9,11,12,13],[2,4,7,8,9,11,13],[2,5,6,7,9,10,13],[2,5,6,7,11,12,14],[2,5,8,9,10,13,14],[3,4,5,6,10,11,13],[3,4,5,7,8,12,13],[3,4,5,9,10,11,14],[3,4,7,9,10,12,14],[3,5,6,8,12,13,14],[3,6,7,8,9,11,12]]; G[428]:=Group([(1,4)(2,5)(6,7)(10,13)(11,12)]); # Design 429: autom. group order 2, simple, residual B[429]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,11,12],[1,2,4,5,10,13,14],[1,3,6,9,11,13,14],[1,4,6,7,8,9,12],[1,4,6,7,11,12,13],[1,4,8,10,11,13,14],[1,5,6,8,9,13,14],[1,5,7,8,10,11,12],[1,5,7,9,10,12,14],[2,3,7,8,12,13,14],[2,4,6,8,11,12,14],[2,4,6,9,10,12,14],[2,4,7,8,9,10,13],[2,5,6,7,9,11,13],[2,5,6,7,10,11,14],[2,5,8,9,11,12,13],[3,4,5,6,10,12,13],[3,4,5,7,8,11,14],[3,4,5,9,11,12,14],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[3,6,7,8,9,10,14]]; G[429]:=Group([(1,4)(2,5)(6,7)(10,14)]); # Design 430: autom. group order 2, simple, residual B[430]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,12,13],[1,2,4,5,11,12,14],[1,3,6,9,10,11,14],[1,4,6,7,8,9,13],[1,4,6,7,10,13,14],[1,4,8,10,11,12,14],[1,5,6,8,9,12,14],[1,5,7,8,10,11,13],[1,5,7,9,11,12,13],[2,3,7,8,11,13,14],[2,4,6,8,10,12,13],[2,4,6,9,11,12,13],[2,4,7,8,9,11,14],[2,5,6,7,9,10,14],[2,5,6,7,10,11,12],[2,5,8,9,10,13,14],[3,4,5,6,11,13,14],[3,4,5,7,8,10,12],[3,4,5,9,10,11,13],[3,4,7,9,10,12,14],[3,5,6,8,12,13,14],[3,6,7,8,9,11,12]]; G[430]:=Group([(1,4)(2,5)(6,7)(11,12)]); # Design 431: autom. group order 2, simple B[431]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,11,12],[1,2,3,9,12,13,14],[1,2,4,5,10,13,14],[1,3,6,9,11,13,14],[1,4,6,7,8,9,13],[1,4,6,7,10,12,14],[1,4,8,10,11,13,14],[1,5,6,8,11,12,13],[1,5,7,8,9,10,12],[1,5,7,9,11,12,14],[2,3,7,8,12,13,14],[2,4,6,8,9,12,14],[2,4,6,9,10,11,12],[2,4,7,8,11,12,13],[2,5,6,7,9,11,13],[2,5,6,7,10,13,14],[2,5,8,9,10,11,14],[3,4,5,6,11,12,14],[3,4,5,7,8,11,14],[3,4,5,9,10,12,13],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[3,6,7,8,9,10,14]]; G[431]:=Group([(1,4)(2,5)(6,7)(10,14)]); # Design 432: autom. group order 2, simple B[432]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,11,12],[1,2,3,9,12,13,14],[1,2,4,5,10,13,14],[1,3,6,9,11,13,14],[1,4,6,7,8,9,13],[1,4,6,7,10,12,14],[1,4,8,10,11,13,14],[1,5,6,8,11,12,13],[1,5,7,8,9,12,14],[1,5,7,9,10,11,12],[2,3,7,8,12,13,14],[2,4,6,8,9,10,12],[2,4,6,9,11,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,13],[2,5,6,7,10,13,14],[2,5,8,9,10,11,14],[3,4,5,6,11,12,14],[3,4,5,7,8,11,14],[3,4,5,9,10,12,13],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[3,6,7,8,9,10,14]]; G[432]:=Group([(1,4)(2,5)(6,7)(10,14)]); # Design 433: autom. group order 2, simple, residual B[433]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,11,13,14],[1,3,6,9,12,13,14],[1,4,6,7,8,9,14],[1,4,6,7,10,12,14],[1,4,8,10,11,12,13],[1,5,6,8,10,13,14],[1,5,7,8,9,10,11],[1,5,7,9,11,12,13],[2,3,7,8,10,13,14],[2,4,6,8,9,12,13],[2,4,6,9,10,11,13],[2,4,7,8,11,12,14],[2,5,6,7,9,10,12],[2,5,6,7,11,13,14],[2,5,8,9,10,12,14],[3,4,5,6,10,11,12],[3,4,5,7,8,12,13],[3,4,5,9,10,13,14],[3,4,7,9,10,11,14],[3,5,6,8,11,12,14],[3,6,7,8,9,11,13]]; G[433]:=Group([(1,4)(2,5)(6,7)(10,12)(11,13)]); # Design 434: autom. group order 2, simple, residual B[434]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,12,13,14],[1,2,4,5,11,12,14],[1,3,6,9,11,13,14],[1,4,6,7,8,9,14],[1,4,6,7,10,13,14],[1,4,8,10,11,12,13],[1,5,6,8,10,12,14],[1,5,7,8,9,11,13],[1,5,7,9,10,11,12],[2,3,7,8,10,11,14],[2,4,6,8,9,10,12],[2,4,6,9,11,12,13],[2,4,7,8,11,13,14],[2,5,6,7,9,10,13],[2,5,6,7,11,12,14],[2,5,8,9,10,13,14],[3,4,5,6,10,11,13],[3,4,5,7,8,12,13],[3,4,5,9,10,11,14],[3,4,7,9,10,12,14],[3,5,6,8,12,13,14],[3,6,7,8,9,11,12]]; G[434]:=Group([(1,4)(2,5)(6,7)(10,13)(11,12)]); # Design 435: autom. group order 2, simple, residual B[435]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,11,12],[1,2,4,5,10,13,14],[1,3,6,9,11,13,14],[1,4,6,7,8,9,12],[1,4,6,7,11,12,13],[1,4,8,10,11,13,14],[1,5,6,8,11,12,14],[1,5,7,8,9,10,13],[1,5,7,9,10,12,14],[2,3,7,8,12,13,14],[2,4,6,8,9,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,11,12],[2,5,6,7,9,11,13],[2,5,6,7,10,11,14],[2,5,8,9,11,12,13],[3,4,5,6,10,12,13],[3,4,5,7,8,11,14],[3,4,5,9,11,12,14],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[3,6,7,8,9,10,14]]; G[435]:=Group([(1,4)(2,5)(6,7)(10,14)]); # Design 436: autom. group order 2, simple, residual B[436]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,12,13],[1,2,4,5,11,12,14],[1,3,6,9,10,11,14],[1,4,6,7,8,9,13],[1,4,6,7,10,13,14],[1,4,8,10,11,12,14],[1,5,6,8,10,12,13],[1,5,7,8,9,11,14],[1,5,7,9,11,12,13],[2,3,7,8,11,13,14],[2,4,6,8,9,12,14],[2,4,6,9,11,12,13],[2,4,7,8,10,11,13],[2,5,6,7,9,10,14],[2,5,6,7,10,11,12],[2,5,8,9,10,13,14],[3,4,5,6,11,13,14],[3,4,5,7,8,10,12],[3,4,5,9,10,11,13],[3,4,7,9,10,12,14],[3,5,6,8,12,13,14],[3,6,7,8,9,11,12]]; G[436]:=Group([(1,4)(2,5)(6,7)(11,12)]); # Design 437: autom. group order 2, simple, residual B[437]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,11,12],[1,2,4,5,10,13,14],[1,3,6,9,11,13,14],[1,4,6,7,8,11,12],[1,4,6,7,9,12,13],[1,4,8,9,10,13,14],[1,5,6,8,9,12,14],[1,5,7,8,10,11,13],[1,5,7,10,11,12,14],[2,3,7,8,12,13,14],[2,4,6,8,11,13,14],[2,4,6,10,11,12,14],[2,4,7,8,9,10,12],[2,5,6,7,9,10,14],[2,5,6,7,9,11,13],[2,5,8,9,11,12,13],[3,4,5,6,10,12,13],[3,4,5,7,8,11,14],[3,4,5,9,11,12,14],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[3,6,7,8,9,10,14]]; G[437]:=Group([(1,4)(2,5)(6,7)(10,14)]); # Design 438: autom. group order 2, simple, residual B[438]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,12,13],[1,2,4,5,11,12,14],[1,3,6,9,10,11,14],[1,4,6,7,8,10,13],[1,4,6,7,9,13,14],[1,4,8,9,11,12,14],[1,5,6,8,9,12,13],[1,5,7,8,10,11,14],[1,5,7,10,11,12,13],[2,3,7,8,11,13,14],[2,4,6,8,10,12,14],[2,4,6,10,11,12,13],[2,4,7,8,9,11,13],[2,5,6,7,9,10,14],[2,5,6,7,9,11,12],[2,5,8,9,10,13,14],[3,4,5,6,11,13,14],[3,4,5,7,8,10,12],[3,4,5,9,10,11,13],[3,4,7,9,10,12,14],[3,5,6,8,12,13,14],[3,6,7,8,9,11,12]]; G[438]:=Group([(1,4)(2,5)(6,7)(11,12)]); # Design 439: autom. group order 2, simple, residual B[439]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,10,13,14],[1,3,6,8,12,13,14],[1,4,6,7,9,10,14],[1,4,6,7,9,11,13],[1,4,8,9,11,12,13],[1,5,6,10,11,12,14],[1,5,7,8,9,10,12],[1,5,7,8,11,13,14],[2,3,7,9,11,13,14],[2,4,6,8,9,12,14],[2,4,6,8,10,11,13],[2,4,7,10,11,12,14],[2,5,6,7,8,11,12],[2,5,6,7,9,12,13],[2,5,8,9,10,13,14],[3,4,5,6,12,13,14],[3,4,5,7,8,11,14],[3,4,5,9,10,11,12],[3,4,7,8,10,12,13],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[439]:=Group([(1,4)(2,5)(6,7)(10,14)]); # Design 440: autom. group order 2, simple, residual B[440]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,10,13,14],[1,3,6,8,12,13,14],[1,4,6,7,9,10,14],[1,4,6,7,9,11,13],[1,4,8,9,11,12,13],[1,5,6,10,11,12,14],[1,5,7,8,9,12,14],[1,5,7,8,10,11,13],[2,3,7,9,11,13,14],[2,4,6,8,9,10,12],[2,4,6,8,11,13,14],[2,4,7,10,11,12,14],[2,5,6,7,8,11,12],[2,5,6,7,9,12,13],[2,5,8,9,10,13,14],[3,4,5,6,12,13,14],[3,4,5,7,8,11,14],[3,4,5,9,10,11,12],[3,4,7,8,10,12,13],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[440]:=Group([(1,4)(2,5)(6,7)(10,14)]); # Design 441: autom. group order 2, simple, residual B[441]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,11,12],[1,2,3,9,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,12,13,14],[1,4,6,7,9,11,12],[1,4,6,7,10,13,14],[1,4,8,9,11,12,13],[1,5,6,9,10,11,14],[1,5,7,8,9,10,12],[1,5,7,8,11,13,14],[2,3,7,9,11,13,14],[2,4,6,8,9,11,14],[2,4,6,8,10,12,13],[2,4,7,9,10,12,14],[2,5,6,7,8,9,13],[2,5,6,7,11,12,13],[2,5,8,10,11,12,14],[3,4,5,6,11,12,14],[3,4,5,7,8,12,14],[3,4,5,9,10,11,13],[3,4,7,8,10,11,13],[3,5,6,9,10,12,13],[3,6,7,8,9,10,14]]; G[441]:=Group([(1,4)(2,5)(6,7)(10,14)(11,12)]); # Design 442: autom. group order 2, simple, residual B[442]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,10,13,14],[1,3,6,8,12,13,14],[1,4,6,7,9,11,13],[1,4,6,7,10,11,14],[1,4,8,9,11,12,13],[1,5,6,9,10,12,14],[1,5,7,8,9,10,13],[1,5,7,8,11,12,14],[2,3,7,9,11,13,14],[2,4,6,8,9,13,14],[2,4,6,8,10,11,12],[2,4,7,9,10,12,14],[2,5,6,7,8,9,12],[2,5,6,7,11,12,13],[2,5,8,10,11,13,14],[3,4,5,6,12,13,14],[3,4,5,7,8,11,14],[3,4,5,9,10,11,12],[3,4,7,8,10,12,13],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[442]:=Group([(1,4)(2,5)(6,7)(10,14)]); # Design 443: autom. group order 2, simple, residual B[443]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,11,12],[1,2,3,9,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,12,13,14],[1,4,6,7,9,11,12],[1,4,6,7,10,13,14],[1,4,8,9,11,12,13],[1,5,6,9,10,11,14],[1,5,7,8,9,11,14],[1,5,7,8,10,12,13],[2,3,7,9,11,13,14],[2,4,6,8,9,10,12],[2,4,6,8,11,13,14],[2,4,7,9,10,12,14],[2,5,6,7,8,9,13],[2,5,6,7,11,12,13],[2,5,8,10,11,12,14],[3,4,5,6,11,12,14],[3,4,5,7,8,12,14],[3,4,5,9,10,11,13],[3,4,7,8,10,11,13],[3,5,6,9,10,12,13],[3,6,7,8,9,10,14]]; G[443]:=Group([(1,4)(2,5)(6,7)(10,14)(11,12)]); # Design 444: autom. group order 2, simple, residual B[444]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,10,13,14],[1,3,6,8,12,13,14],[1,4,6,7,9,11,13],[1,4,6,7,10,11,14],[1,4,8,9,11,12,13],[1,5,6,9,10,12,14],[1,5,7,8,9,13,14],[1,5,7,8,10,11,12],[2,3,7,9,11,13,14],[2,4,6,8,9,10,13],[2,4,6,8,11,12,14],[2,4,7,9,10,12,14],[2,5,6,7,8,9,12],[2,5,6,7,11,12,13],[2,5,8,10,11,13,14],[3,4,5,6,12,13,14],[3,4,5,7,8,11,14],[3,4,5,9,10,11,12],[3,4,7,8,10,12,13],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[444]:=Group([(1,4)(2,5)(6,7)(10,14)]); # Design 445: autom. group order 2, simple B[445]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,11,13,14],[1,3,6,8,12,13,14],[1,4,6,7,9,10,14],[1,4,6,7,11,13,14],[1,4,8,9,10,11,13],[1,5,6,9,10,12,13],[1,5,7,8,9,11,12],[1,5,7,8,10,12,14],[2,3,7,9,10,13,14],[2,4,6,8,9,12,13],[2,4,6,8,10,12,14],[2,4,7,9,10,11,12],[2,5,6,7,8,9,14],[2,5,6,7,11,12,13],[2,5,8,10,11,13,14],[3,4,5,6,10,11,12],[3,4,5,7,8,10,13],[3,4,5,9,12,13,14],[3,4,7,8,11,12,14],[3,5,6,9,10,11,14],[3,6,7,8,9,11,13]]; G[445]:=Group([(1,4)(2,5)(6,7)(11,13)]); # Design 446: autom. group order 2, simple B[446]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,12,13,14],[1,2,4,5,11,12,14],[1,3,6,8,11,13,14],[1,4,6,7,9,10,14],[1,4,6,7,11,12,14],[1,4,8,9,10,11,12],[1,5,6,9,10,12,13],[1,5,7,8,9,11,13],[1,5,7,8,10,13,14],[2,3,7,9,10,11,14],[2,4,6,8,9,12,13],[2,4,6,8,10,13,14],[2,4,7,9,10,11,13],[2,5,6,7,8,9,14],[2,5,6,7,11,12,13],[2,5,8,10,11,12,14],[3,4,5,6,10,11,13],[3,4,5,7,8,10,12],[3,4,5,9,11,13,14],[3,4,7,8,12,13,14],[3,5,6,9,10,12,14],[3,6,7,8,9,11,12]]; G[446]:=Group([(1,4)(2,5)(6,7)(11,12)]); # Design 447: autom. group order 2, simple, residual B[447]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,10,12],[1,2,3,11,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,12,13,14],[1,4,6,7,9,11,13],[1,4,6,7,10,13,14],[1,4,8,9,10,11,14],[1,5,6,8,9,12,13],[1,5,7,8,10,11,12],[1,5,7,9,11,12,14],[2,3,7,9,11,13,14],[2,4,6,8,11,12,14],[2,4,6,9,10,11,12],[2,4,7,8,9,12,13],[2,5,6,7,8,11,13],[2,5,6,7,10,12,14],[2,5,8,9,10,13,14],[3,4,5,6,9,12,14],[3,4,5,7,8,11,14],[3,4,5,10,11,12,13],[3,4,7,8,10,12,13],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[447]:=Group([(1,4)(2,5)(6,7)(10,14)]); # Design 448: autom. group order 2, simple, residual B[448]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,10,12],[1,2,3,11,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,12,13,14],[1,4,6,7,9,11,13],[1,4,6,7,10,13,14],[1,4,8,9,10,11,14],[1,5,6,8,9,12,13],[1,5,7,8,11,12,14],[1,5,7,9,10,11,12],[2,3,7,9,11,13,14],[2,4,6,8,10,11,12],[2,4,6,9,11,12,14],[2,4,7,8,9,12,13],[2,5,6,7,8,11,13],[2,5,6,7,10,12,14],[2,5,8,9,10,13,14],[3,4,5,6,9,12,14],[3,4,5,7,8,11,14],[3,4,5,10,11,12,13],[3,4,7,8,10,12,13],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[448]:=Group([(1,4)(2,5)(6,7)(10,14)]); # Design 449: autom. group order 2, simple, residual B[449]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,10,13,14],[1,3,6,8,12,13,14],[1,4,6,7,9,11,14],[1,4,6,7,10,13,14],[1,4,8,9,10,11,13],[1,5,6,8,11,12,13],[1,5,7,8,9,12,14],[1,5,7,9,10,11,12],[2,3,7,9,11,13,14],[2,4,6,8,9,12,14],[2,4,6,9,11,12,13],[2,4,7,8,10,11,12],[2,5,6,7,8,11,14],[2,5,6,7,10,12,13],[2,5,8,9,10,13,14],[3,4,5,6,9,10,12],[3,4,5,7,8,11,13],[3,4,5,11,12,13,14],[3,4,7,8,10,12,14],[3,5,6,9,10,11,14],[3,6,7,8,9,10,13]]; G[449]:=Group([(1,4)(2,5)(6,7)(10,13)]); # Design 450: autom. group order 2, simple, residual B[450]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,11,12,14],[1,2,4,5,10,13,14],[1,3,6,8,12,13,14],[1,4,6,7,9,12,14],[1,4,6,7,10,11,13],[1,4,8,9,10,13,14],[1,5,6,8,11,12,13],[1,5,7,8,9,11,14],[1,5,7,9,10,11,12],[2,3,7,9,11,13,14],[2,4,6,8,9,11,14],[2,4,6,9,11,12,13],[2,4,7,8,10,11,12],[2,5,6,7,8,12,14],[2,5,6,7,10,13,14],[2,5,8,9,10,12,13],[3,4,5,6,9,10,12],[3,4,5,7,8,11,13],[3,4,5,11,12,13,14],[3,4,7,8,10,12,14],[3,5,6,9,10,11,14],[3,6,7,8,9,10,13]]; G[450]:=Group([(1,4)(2,5)(6,7)(10,13)]); # Design 451: autom. group order 2, simple, residual B[451]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,11,12,14],[1,3,6,8,11,13,14],[1,4,6,7,9,10,14],[1,4,6,7,11,12,14],[1,4,8,9,10,11,12],[1,5,6,8,10,12,13],[1,5,7,8,9,13,14],[1,5,7,9,10,11,13],[2,3,7,9,10,11,14],[2,4,6,8,9,13,14],[2,4,6,9,10,12,13],[2,4,7,8,10,11,13],[2,5,6,7,8,10,14],[2,5,6,7,11,12,13],[2,5,8,9,11,12,14],[3,4,5,6,9,11,13],[3,4,5,7,8,10,12],[3,4,5,10,11,13,14],[3,4,7,8,12,13,14],[3,5,6,9,10,12,14],[3,6,7,8,9,11,12]]; G[451]:=Group([(1,4)(2,5)(6,7)(11,12)]); # Design 452: autom. group order 2, simple, residual B[452]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,12,13,14],[1,2,4,5,11,12,14],[1,3,6,8,11,13,14],[1,4,6,7,9,13,14],[1,4,6,7,10,11,12],[1,4,8,9,11,12,14],[1,5,6,8,10,12,13],[1,5,7,8,9,10,14],[1,5,7,9,10,11,13],[2,3,7,9,10,11,14],[2,4,6,8,9,10,14],[2,4,6,9,10,12,13],[2,4,7,8,10,11,13],[2,5,6,7,8,13,14],[2,5,6,7,11,12,14],[2,5,8,9,11,12,13],[3,4,5,6,9,11,13],[3,4,5,7,8,10,12],[3,4,5,10,11,13,14],[3,4,7,8,12,13,14],[3,5,6,9,10,12,14],[3,6,7,8,9,11,12]]; G[452]:=Group([(1,4)(2,5)(6,7)(11,12)]); # Design 453: autom. group order 2, simple, residual B[453]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,11,12],[1,2,4,5,10,13,14],[1,3,6,8,12,13,14],[1,4,6,7,9,10,13],[1,4,6,7,9,11,14],[1,4,8,9,11,12,14],[1,5,6,8,9,12,13],[1,5,7,8,10,11,14],[1,5,7,10,11,12,13],[2,3,7,9,11,13,14],[2,4,6,8,11,13,14],[2,4,6,10,11,12,13],[2,4,7,8,9,10,12],[2,5,6,7,8,11,12],[2,5,6,7,9,12,14],[2,5,8,9,10,13,14],[3,4,5,6,10,12,14],[3,4,5,7,8,11,13],[3,4,5,9,11,12,13],[3,4,7,8,10,12,14],[3,5,6,9,10,11,14],[3,6,7,8,9,10,13]]; G[453]:=Group([(1,4)(2,5)(6,7)(10,13)]); # Design 454: autom. group order 2, simple, residual B[454]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,12,13],[1,2,4,5,11,12,14],[1,3,6,8,11,13,14],[1,4,6,7,9,10,14],[1,4,6,7,9,11,12],[1,4,8,9,10,13,14],[1,5,6,8,9,12,13],[1,5,7,8,10,11,14],[1,5,7,10,11,12,13],[2,3,7,9,10,11,14],[2,4,6,8,10,12,14],[2,4,6,10,11,12,13],[2,4,7,8,9,11,13],[2,5,6,7,8,10,13],[2,5,6,7,9,13,14],[2,5,8,9,11,12,14],[3,4,5,6,11,13,14],[3,4,5,7,8,10,12],[3,4,5,9,10,11,13],[3,4,7,8,12,13,14],[3,5,6,9,10,12,14],[3,6,7,8,9,11,12]]; G[454]:=Group([(1,4)(2,5)(6,7)(11,12)]); # Design 455: autom. group order 2, simple, residual B[455]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,11,12],[1,2,4,5,10,13,14],[1,3,6,8,12,13,14],[1,4,6,7,9,10,13],[1,4,6,7,9,11,14],[1,4,8,9,11,12,14],[1,5,6,8,11,13,14],[1,5,7,8,9,10,12],[1,5,7,10,11,12,13],[2,3,7,9,11,13,14],[2,4,6,8,9,12,13],[2,4,6,10,11,12,13],[2,4,7,8,10,11,14],[2,5,6,7,8,11,12],[2,5,6,7,9,12,14],[2,5,8,9,10,13,14],[3,4,5,6,10,12,14],[3,4,5,7,8,11,13],[3,4,5,9,11,12,13],[3,4,7,8,10,12,14],[3,5,6,9,10,11,14],[3,6,7,8,9,10,13]]; G[455]:=Group([(1,4)(2,5)(6,7)(10,13)]); # Design 456: autom. group order 2, simple, residual B[456]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,12,13],[1,2,4,5,11,12,14],[1,3,6,8,11,13,14],[1,4,6,7,9,10,14],[1,4,6,7,9,11,12],[1,4,8,9,10,13,14],[1,5,6,8,10,12,14],[1,5,7,8,9,11,13],[1,5,7,10,11,12,13],[2,3,7,9,10,11,14],[2,4,6,8,9,12,13],[2,4,6,10,11,12,13],[2,4,7,8,10,11,14],[2,5,6,7,8,10,13],[2,5,6,7,9,13,14],[2,5,8,9,11,12,14],[3,4,5,6,11,13,14],[3,4,5,7,8,10,12],[3,4,5,9,10,11,13],[3,4,7,8,12,13,14],[3,5,6,9,10,12,14],[3,6,7,8,9,11,12]]; G[456]:=Group([(1,4)(2,5)(6,7)(11,12)]); # Design 457: autom. group order 2, simple, residual B[457]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,11,13,14],[1,3,6,8,12,13,14],[1,4,6,7,9,10,12],[1,4,6,7,11,13,14],[1,4,8,9,10,12,14],[1,5,6,8,9,10,13],[1,5,7,8,10,11,14],[1,5,7,9,11,12,13],[2,3,7,9,10,13,14],[2,4,6,8,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,9,11,12],[2,5,6,7,8,9,14],[2,5,6,7,10,12,14],[2,5,8,10,11,12,13],[3,4,5,6,10,11,12],[3,4,5,7,8,12,13],[3,4,5,9,10,13,14],[3,4,7,8,10,11,14],[3,5,6,9,11,12,14],[3,6,7,8,9,11,13]]; G[457]:=Group([(1,4)(2,5)(6,7)(10,12)(11,13)]); # Design 458: autom. group order 2, simple, residual B[458]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,12,13,14],[1,2,4,5,11,12,14],[1,3,6,8,11,13,14],[1,4,6,7,9,10,13],[1,4,6,7,11,12,14],[1,4,8,9,10,13,14],[1,5,6,8,9,10,12],[1,5,7,8,11,13,14],[1,5,7,9,10,11,12],[2,3,7,9,10,11,14],[2,4,6,8,10,12,14],[2,4,6,9,11,12,13],[2,4,7,8,9,11,13],[2,5,6,7,8,9,14],[2,5,6,7,10,13,14],[2,5,8,10,11,12,13],[3,4,5,6,10,11,13],[3,4,5,7,8,12,13],[3,4,5,9,10,11,14],[3,4,7,8,10,12,14],[3,5,6,9,12,13,14],[3,6,7,8,9,11,12]]; G[458]:=Group([(1,4)(2,5)(6,7)(10,13)(11,12)]); # Design 459: autom. group order 2, simple B[459]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,11,13,14],[1,3,6,8,12,13,14],[1,4,6,7,9,10,14],[1,4,6,7,11,13,14],[1,4,8,9,10,11,13],[1,5,6,8,9,12,13],[1,5,7,8,10,12,14],[1,5,7,9,10,11,12],[2,3,7,9,10,13,14],[2,4,6,8,10,12,14],[2,4,6,9,10,12,13],[2,4,7,8,9,11,12],[2,5,6,7,8,9,14],[2,5,6,7,11,12,13],[2,5,8,10,11,13,14],[3,4,5,6,10,11,12],[3,4,5,7,8,10,13],[3,4,5,9,12,13,14],[3,4,7,8,11,12,14],[3,5,6,9,10,11,14],[3,6,7,8,9,11,13]]; G[459]:=Group([(1,4)(2,5)(6,7)(11,13)]); # Design 460: autom. group order 2, simple B[460]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,12,13,14],[1,2,4,5,11,12,14],[1,3,6,8,11,13,14],[1,4,6,7,9,10,14],[1,4,6,7,11,12,14],[1,4,8,9,10,11,12],[1,5,6,8,9,12,13],[1,5,7,8,10,13,14],[1,5,7,9,10,11,13],[2,3,7,9,10,11,14],[2,4,6,8,10,13,14],[2,4,6,9,10,12,13],[2,4,7,8,9,11,13],[2,5,6,7,8,9,14],[2,5,6,7,11,12,13],[2,5,8,10,11,12,14],[3,4,5,6,10,11,13],[3,4,5,7,8,10,12],[3,4,5,9,11,13,14],[3,4,7,8,12,13,14],[3,5,6,9,10,12,14],[3,6,7,8,9,11,12]]; G[460]:=Group([(1,4)(2,5)(6,7)(11,12)]); # Design 461: autom. group order 2, simple, residual B[461]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,11,12],[1,2,4,5,10,13,14],[1,3,6,8,12,13,14],[1,4,6,7,9,11,13],[1,4,6,7,10,11,14],[1,4,8,9,11,12,13],[1,5,6,8,9,13,14],[1,5,7,8,10,11,12],[1,5,7,9,10,12,14],[2,3,7,9,11,13,14],[2,4,6,8,11,12,14],[2,4,6,9,10,12,14],[2,4,7,8,9,10,13],[2,5,6,7,8,9,12],[2,5,6,7,11,12,13],[2,5,8,10,11,13,14],[3,4,5,6,10,12,13],[3,4,5,7,8,11,14],[3,4,5,9,11,12,14],[3,4,7,8,10,12,13],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[461]:=Group([(1,4)(2,5)(6,7)(10,14)]); # Design 462: autom. group order 2, simple, residual B[462]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,12,13],[1,2,4,5,11,12,14],[1,3,6,8,11,13,14],[1,4,6,7,9,10,14],[1,4,6,7,10,11,12],[1,4,8,9,10,13,14],[1,5,6,8,9,12,14],[1,5,7,8,10,11,13],[1,5,7,9,11,12,13],[2,3,7,9,10,11,14],[2,4,6,8,10,12,13],[2,4,6,9,11,12,13],[2,4,7,8,9,11,14],[2,5,6,7,8,9,13],[2,5,6,7,10,13,14],[2,5,8,10,11,12,14],[3,4,5,6,11,13,14],[3,4,5,7,8,10,12],[3,4,5,9,10,11,13],[3,4,7,8,12,13,14],[3,5,6,9,10,12,14],[3,6,7,8,9,11,12]]; G[462]:=Group([(1,4)(2,5)(6,7)(11,12)]); # Design 463: autom. group order 2, simple B[463]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,11,12],[1,2,3,9,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,12,13,14],[1,4,6,7,9,11,13],[1,4,6,7,10,13,14],[1,4,8,9,10,11,14],[1,5,6,8,11,12,13],[1,5,7,8,9,10,12],[1,5,7,9,11,12,14],[2,3,7,9,11,13,14],[2,4,6,8,9,12,14],[2,4,6,9,10,11,12],[2,4,7,8,11,12,13],[2,5,6,7,8,9,13],[2,5,6,7,10,12,14],[2,5,8,10,11,13,14],[3,4,5,6,11,12,14],[3,4,5,7,8,11,14],[3,4,5,9,10,12,13],[3,4,7,8,10,12,13],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[463]:=Group([(1,4)(2,5)(6,7)(10,14)]); # Design 464: autom. group order 2, simple B[464]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,11,12],[1,2,3,9,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,12,13,14],[1,4,6,7,9,11,13],[1,4,6,7,10,13,14],[1,4,8,9,10,11,14],[1,5,6,8,11,12,13],[1,5,7,8,9,12,14],[1,5,7,9,10,11,12],[2,3,7,9,11,13,14],[2,4,6,8,9,10,12],[2,4,6,9,11,12,14],[2,4,7,8,11,12,13],[2,5,6,7,8,9,13],[2,5,6,7,10,12,14],[2,5,8,10,11,13,14],[3,4,5,6,11,12,14],[3,4,5,7,8,11,14],[3,4,5,9,10,12,13],[3,4,7,8,10,12,13],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[464]:=Group([(1,4)(2,5)(6,7)(10,14)]); # Design 465: autom. group order 2, simple, residual B[465]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,11,13,14],[1,3,6,8,12,13,14],[1,4,6,7,9,10,12],[1,4,6,7,11,13,14],[1,4,8,9,10,12,14],[1,5,6,8,10,13,14],[1,5,7,8,9,10,11],[1,5,7,9,11,12,13],[2,3,7,9,10,13,14],[2,4,6,8,9,12,13],[2,4,6,9,10,11,13],[2,4,7,8,11,12,14],[2,5,6,7,8,9,14],[2,5,6,7,10,12,14],[2,5,8,10,11,12,13],[3,4,5,6,10,11,12],[3,4,5,7,8,12,13],[3,4,5,9,10,13,14],[3,4,7,8,10,11,14],[3,5,6,9,11,12,14],[3,6,7,8,9,11,13]]; G[465]:=Group([(1,4)(2,5)(6,7)(10,12)(11,13)]); # Design 466: autom. group order 2, simple, residual B[466]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,12,13,14],[1,2,4,5,11,12,14],[1,3,6,8,11,13,14],[1,4,6,7,9,10,13],[1,4,6,7,11,12,14],[1,4,8,9,10,13,14],[1,5,6,8,10,12,14],[1,5,7,8,9,11,13],[1,5,7,9,10,11,12],[2,3,7,9,10,11,14],[2,4,6,8,9,10,12],[2,4,6,9,11,12,13],[2,4,7,8,11,13,14],[2,5,6,7,8,9,14],[2,5,6,7,10,13,14],[2,5,8,10,11,12,13],[3,4,5,6,10,11,13],[3,4,5,7,8,12,13],[3,4,5,9,10,11,14],[3,4,7,8,10,12,14],[3,5,6,9,12,13,14],[3,6,7,8,9,11,12]]; G[466]:=Group([(1,4)(2,5)(6,7)(10,13)(11,12)]); # Design 467: autom. group order 2, simple, residual B[467]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,11,12],[1,2,4,5,10,13,14],[1,3,6,8,12,13,14],[1,4,6,7,9,11,13],[1,4,6,7,10,11,14],[1,4,8,9,11,12,13],[1,5,6,8,11,12,14],[1,5,7,8,9,10,13],[1,5,7,9,10,12,14],[2,3,7,9,11,13,14],[2,4,6,8,9,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,11,12],[2,5,6,7,8,9,12],[2,5,6,7,11,12,13],[2,5,8,10,11,13,14],[3,4,5,6,10,12,13],[3,4,5,7,8,11,14],[3,4,5,9,11,12,14],[3,4,7,8,10,12,13],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[467]:=Group([(1,4)(2,5)(6,7)(10,14)]); # Design 468: autom. group order 2, simple, residual B[468]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,12,13],[1,2,4,5,11,12,14],[1,3,6,8,11,13,14],[1,4,6,7,9,10,14],[1,4,6,7,10,11,12],[1,4,8,9,10,13,14],[1,5,6,8,10,12,13],[1,5,7,8,9,11,14],[1,5,7,9,11,12,13],[2,3,7,9,10,11,14],[2,4,6,8,9,12,14],[2,4,6,9,11,12,13],[2,4,7,8,10,11,13],[2,5,6,7,8,9,13],[2,5,6,7,10,13,14],[2,5,8,10,11,12,14],[3,4,5,6,11,13,14],[3,4,5,7,8,10,12],[3,4,5,9,10,11,13],[3,4,7,8,12,13,14],[3,5,6,9,10,12,14],[3,6,7,8,9,11,12]]; G[468]:=Group([(1,4)(2,5)(6,7)(11,12)]); # Design 469: autom. group order 2, simple B[469]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,11,12],[1,2,3,9,12,13,14],[1,2,4,5,10,13,14],[1,3,6,9,11,13,14],[1,4,6,7,10,12,13],[1,4,6,8,11,13,14],[1,4,7,8,9,12,13],[1,5,6,7,9,11,12],[1,5,7,8,9,10,14],[1,5,8,10,11,12,14],[2,3,7,8,12,13,14],[2,4,6,7,9,10,14],[2,4,6,8,9,11,12],[2,4,9,10,11,12,14],[2,5,6,7,11,13,14],[2,5,6,8,10,12,13],[2,5,7,8,9,11,13],[3,4,5,6,8,12,14],[3,4,5,7,11,12,14],[3,4,5,9,10,11,13],[3,4,7,8,10,11,13],[3,5,6,9,10,12,13],[3,6,7,8,9,10,14]]; G[469]:=Group([(1,5)(2,4)(10,14)(11,12)]); # Design 470: autom. group order 2, simple B[470]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,11,12],[1,2,3,9,12,13,14],[1,2,4,5,10,13,14],[1,3,6,9,12,13,14],[1,4,6,7,10,12,13],[1,4,6,8,11,13,14],[1,4,7,8,9,11,13],[1,5,6,7,9,11,12],[1,5,7,8,9,10,14],[1,5,8,10,11,12,14],[2,3,7,8,11,13,14],[2,4,6,7,9,10,14],[2,4,6,8,9,11,12],[2,4,9,10,11,12,14],[2,5,6,7,11,13,14],[2,5,6,8,10,12,13],[2,5,7,8,9,12,13],[3,4,5,6,8,12,14],[3,4,5,7,11,12,14],[3,4,5,9,10,11,13],[3,4,7,8,10,12,13],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[470]:=Group([(1,5)(2,4)(10,14)(11,12)]); # Design 471: autom. group order 2, simple B[471]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,11,12],[1,2,3,9,12,13,14],[1,2,4,5,10,13,14],[1,3,6,9,11,13,14],[1,4,6,7,11,13,14],[1,4,6,8,10,12,13],[1,4,7,8,9,12,13],[1,5,6,7,9,11,12],[1,5,7,8,9,10,14],[1,5,8,10,11,12,14],[2,3,7,8,12,13,14],[2,4,6,7,9,10,14],[2,4,6,8,9,11,12],[2,4,9,10,11,12,14],[2,5,6,7,10,12,13],[2,5,6,8,11,13,14],[2,5,7,8,9,11,13],[3,4,5,6,8,12,14],[3,4,5,7,11,12,14],[3,4,5,9,10,11,13],[3,4,7,8,10,11,13],[3,5,6,9,10,12,13],[3,6,7,8,9,10,14]]; G[471]:=Group([(1,5)(2,4)(10,14)(11,12)]); # Design 472: autom. group order 2, simple B[472]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,11,12],[1,2,3,9,12,13,14],[1,2,4,5,10,13,14],[1,3,6,9,12,13,14],[1,4,6,7,11,13,14],[1,4,6,8,10,12,13],[1,4,7,8,9,11,13],[1,5,6,7,9,11,12],[1,5,7,8,9,10,14],[1,5,8,10,11,12,14],[2,3,7,8,11,13,14],[2,4,6,7,9,10,14],[2,4,6,8,9,11,12],[2,4,9,10,11,12,14],[2,5,6,7,10,12,13],[2,5,6,8,11,13,14],[2,5,7,8,9,12,13],[3,4,5,6,8,12,14],[3,4,5,7,11,12,14],[3,4,5,9,10,11,13],[3,4,7,8,10,12,13],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[472]:=Group([(1,5)(2,4)(10,14)(11,12)]); # Design 473: autom. group order 2, simple B[473]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,12,13,14],[1,2,4,5,11,12,14],[1,3,6,9,10,11,14],[1,4,6,7,10,12,14],[1,4,6,8,11,13,14],[1,4,7,8,9,13,14],[1,5,6,7,9,10,13],[1,5,7,8,9,11,12],[1,5,8,10,11,12,13],[2,3,7,8,11,13,14],[2,4,6,7,9,11,12],[2,4,6,8,9,10,13],[2,4,9,10,11,12,13],[2,5,6,7,11,13,14],[2,5,6,8,10,12,14],[2,5,7,8,9,10,14],[3,4,5,6,8,12,13],[3,4,5,7,10,11,13],[3,4,5,9,10,11,14],[3,4,7,8,10,12,14],[3,5,6,9,12,13,14],[3,6,7,8,9,11,12]]; G[473]:=Group([(1,5)(2,4)(10,13)(11,12)]); # Design 474: autom. group order 2, simple B[474]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,12,13,14],[1,2,4,5,11,12,14],[1,3,6,9,10,11,14],[1,4,6,7,11,13,14],[1,4,6,8,10,12,14],[1,4,7,8,9,13,14],[1,5,6,7,9,10,13],[1,5,7,8,9,11,12],[1,5,8,10,11,12,13],[2,3,7,8,11,13,14],[2,4,6,7,9,11,12],[2,4,6,8,9,10,13],[2,4,9,10,11,12,13],[2,5,6,7,10,12,14],[2,5,6,8,11,13,14],[2,5,7,8,9,10,14],[3,4,5,6,8,12,13],[3,4,5,7,10,11,13],[3,4,5,9,10,11,14],[3,4,7,8,10,12,14],[3,5,6,9,12,13,14],[3,6,7,8,9,11,12]]; G[474]:=Group([(1,5)(2,4)(10,13)(11,12)]); # Design 475: autom. group order 2, simple B[475]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,11,13,14],[1,3,6,9,10,13,14],[1,4,6,7,11,12,14],[1,4,6,8,12,13,14],[1,4,7,8,9,10,14],[1,5,6,7,9,10,12],[1,5,7,8,9,11,13],[1,5,8,10,11,12,13],[2,3,7,8,12,13,14],[2,4,6,7,9,11,13],[2,4,6,8,9,10,12],[2,4,9,10,11,12,13],[2,5,6,7,10,13,14],[2,5,6,8,10,11,14],[2,5,7,8,9,12,14],[3,4,5,6,8,12,13],[3,4,5,7,10,11,12],[3,4,5,9,10,13,14],[3,4,7,8,10,11,14],[3,5,6,9,11,12,14],[3,6,7,8,9,11,13]]; G[475]:=Group([(1,5)(2,4)(10,12)(11,13)]); # Design 476: autom. group order 2, simple B[476]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,11,13,14],[1,3,6,9,10,13,14],[1,4,6,7,12,13,14],[1,4,6,8,11,12,14],[1,4,7,8,9,10,14],[1,5,6,7,9,10,12],[1,5,7,8,9,11,13],[1,5,8,10,11,12,13],[2,3,7,8,12,13,14],[2,4,6,7,9,11,13],[2,4,6,8,9,10,12],[2,4,9,10,11,12,13],[2,5,6,7,10,11,14],[2,5,6,8,10,13,14],[2,5,7,8,9,12,14],[3,4,5,6,8,12,13],[3,4,5,7,10,11,12],[3,4,5,9,10,13,14],[3,4,7,8,10,11,14],[3,5,6,9,11,12,14],[3,6,7,8,9,11,13]]; G[476]:=Group([(1,5)(2,4)(10,12)(11,13)]); # Design 477: autom. group order 2, simple B[477]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,11,13,14],[1,3,6,9,12,13,14],[1,4,6,7,10,11,14],[1,4,6,8,10,13,14],[1,4,7,8,9,12,14],[1,5,6,7,9,10,12],[1,5,7,8,9,11,13],[1,5,8,10,11,12,13],[2,3,7,8,10,13,14],[2,4,6,7,9,11,13],[2,4,6,8,9,10,12],[2,4,9,10,11,12,13],[2,5,6,7,12,13,14],[2,5,6,8,11,12,14],[2,5,7,8,9,10,14],[3,4,5,6,8,12,13],[3,4,5,7,10,11,12],[3,4,5,9,10,13,14],[3,4,7,8,11,12,14],[3,5,6,9,10,11,14],[3,6,7,8,9,11,13]]; G[477]:=Group([(1,5)(2,4)(10,12)(11,13)]); # Design 478: autom. group order 2, simple B[478]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,11,13,14],[1,3,6,9,12,13,14],[1,4,6,7,10,13,14],[1,4,6,8,10,11,14],[1,4,7,8,9,12,14],[1,5,6,7,9,10,12],[1,5,7,8,9,11,13],[1,5,8,10,11,12,13],[2,3,7,8,10,13,14],[2,4,6,7,9,11,13],[2,4,6,8,9,10,12],[2,4,9,10,11,12,13],[2,5,6,7,11,12,14],[2,5,6,8,12,13,14],[2,5,7,8,9,10,14],[3,4,5,6,8,12,13],[3,4,5,7,10,11,12],[3,4,5,9,10,13,14],[3,4,7,8,11,12,14],[3,5,6,9,10,11,14],[3,6,7,8,9,11,13]]; G[478]:=Group([(1,5)(2,4)(10,12)(11,13)]); # Design 479: autom. group order 2, simple B[479]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,12,13,14],[1,2,4,5,11,12,14],[1,3,6,9,11,13,14],[1,4,6,7,10,12,14],[1,4,6,8,11,13,14],[1,4,7,8,9,10,14],[1,5,6,7,9,10,13],[1,5,7,8,9,11,12],[1,5,8,10,11,12,13],[2,3,7,8,10,11,14],[2,4,6,7,9,11,12],[2,4,6,8,9,10,13],[2,4,9,10,11,12,13],[2,5,6,7,11,13,14],[2,5,6,8,10,12,14],[2,5,7,8,9,13,14],[3,4,5,6,8,12,13],[3,4,5,7,10,11,13],[3,4,5,9,10,11,14],[3,4,7,8,12,13,14],[3,5,6,9,10,12,14],[3,6,7,8,9,11,12]]; G[479]:=Group([(1,5)(2,4)(10,13)(11,12)]); # Design 480: autom. group order 2, simple B[480]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,12,13,14],[1,2,4,5,11,12,14],[1,3,6,9,11,13,14],[1,4,6,7,11,13,14],[1,4,6,8,10,12,14],[1,4,7,8,9,10,14],[1,5,6,7,9,10,13],[1,5,7,8,9,11,12],[1,5,8,10,11,12,13],[2,3,7,8,10,11,14],[2,4,6,7,9,11,12],[2,4,6,8,9,10,13],[2,4,9,10,11,12,13],[2,5,6,7,10,12,14],[2,5,6,8,11,13,14],[2,5,7,8,9,13,14],[3,4,5,6,8,12,13],[3,4,5,7,10,11,13],[3,4,5,9,10,11,14],[3,4,7,8,12,13,14],[3,5,6,9,10,12,14],[3,6,7,8,9,11,12]]; G[480]:=Group([(1,5)(2,4)(10,13)(11,12)]); # Design 481: autom. group order 2, simple, residual B[481]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,10,13,14],[1,3,6,9,11,13,14],[1,4,6,7,9,11,13],[1,4,6,8,10,12,13],[1,4,7,8,9,12,14],[1,5,6,7,8,11,12],[1,5,7,10,11,12,14],[1,5,8,9,10,13,14],[2,3,7,8,12,13,14],[2,4,6,7,9,10,14],[2,4,6,10,11,12,14],[2,4,8,9,11,12,13],[2,5,6,7,9,12,13],[2,5,6,8,11,13,14],[2,5,7,8,9,10,11],[3,4,5,6,8,12,14],[3,4,5,7,11,13,14],[3,4,5,9,10,11,12],[3,4,7,8,10,11,13],[3,5,6,9,10,12,13],[3,6,7,8,9,10,14]]; G[481]:=Group([(1,5)(2,4)(10,14)(11,12)]); # Design 482: autom. group order 2, simple, residual B[482]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,10,13,14],[1,3,6,9,12,13,14],[1,4,6,7,9,12,13],[1,4,6,8,10,11,13],[1,4,7,8,9,11,14],[1,5,6,7,8,11,12],[1,5,7,10,11,12,14],[1,5,8,9,10,13,14],[2,3,7,8,11,13,14],[2,4,6,7,9,10,14],[2,4,6,10,11,12,14],[2,4,8,9,11,12,13],[2,5,6,7,9,11,13],[2,5,6,8,12,13,14],[2,5,7,8,9,10,12],[3,4,5,6,8,12,14],[3,4,5,7,11,13,14],[3,4,5,9,10,11,12],[3,4,7,8,10,12,13],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[482]:=Group([(1,5)(2,4)(10,14)(11,12)]); # Design 483: autom. group order 2, simple, residual B[483]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,10,13,14],[1,3,6,9,11,13,14],[1,4,6,7,9,11,13],[1,4,6,8,12,13,14],[1,4,7,8,9,10,12],[1,5,6,7,8,11,12],[1,5,7,10,11,12,14],[1,5,8,9,10,13,14],[2,3,7,8,12,13,14],[2,4,6,7,9,10,14],[2,4,6,10,11,12,14],[2,4,8,9,11,12,13],[2,5,6,7,9,12,13],[2,5,6,8,10,11,13],[2,5,7,8,9,11,14],[3,4,5,6,8,12,14],[3,4,5,7,11,13,14],[3,4,5,9,10,11,12],[3,4,7,8,10,11,13],[3,5,6,9,10,12,13],[3,6,7,8,9,10,14]]; G[483]:=Group([(1,5)(2,4)(10,14)(11,12)]); # Design 484: autom. group order 2, simple, residual B[484]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,5,10,13,14],[1,3,6,9,12,13,14],[1,4,6,7,9,12,13],[1,4,6,8,11,13,14],[1,4,7,8,9,10,11],[1,5,6,7,8,11,12],[1,5,7,10,11,12,14],[1,5,8,9,10,13,14],[2,3,7,8,11,13,14],[2,4,6,7,9,10,14],[2,4,6,10,11,12,14],[2,4,8,9,11,12,13],[2,5,6,7,9,11,13],[2,5,6,8,10,12,13],[2,5,7,8,9,12,14],[3,4,5,6,8,12,14],[3,4,5,7,11,13,14],[3,4,5,9,10,11,12],[3,4,7,8,10,12,13],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[484]:=Group([(1,5)(2,4)(10,14)(11,12)]); # Design 485: autom. group order 2, simple, residual B[485]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,11,12],[1,2,4,5,10,13,14],[1,3,6,9,11,13,14],[1,4,6,7,9,12,13],[1,4,6,8,10,12,13],[1,4,7,8,9,11,14],[1,5,6,7,8,11,12],[1,5,7,10,11,12,14],[1,5,8,9,10,13,14],[2,3,7,8,12,13,14],[2,4,6,7,9,10,14],[2,4,6,10,11,12,14],[2,4,8,9,11,12,13],[2,5,6,7,9,11,13],[2,5,6,8,11,13,14],[2,5,7,8,9,10,12],[3,4,5,6,8,12,14],[3,4,5,7,10,11,13],[3,4,5,9,11,12,14],[3,4,7,8,10,11,13],[3,5,6,9,10,12,13],[3,6,7,8,9,10,14]]; G[485]:=Group([(1,5)(2,4)(10,14)(11,12)]); # Design 486: autom. group order 2, simple, residual B[486]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,11,12],[1,2,4,5,10,13,14],[1,3,6,9,12,13,14],[1,4,6,7,9,11,13],[1,4,6,8,10,12,13],[1,4,7,8,9,11,14],[1,5,6,7,8,11,12],[1,5,7,10,11,12,14],[1,5,8,9,10,13,14],[2,3,7,8,11,13,14],[2,4,6,7,9,10,14],[2,4,6,10,11,12,14],[2,4,8,9,11,12,13],[2,5,6,7,9,12,13],[2,5,6,8,11,13,14],[2,5,7,8,9,10,12],[3,4,5,6,8,12,14],[3,4,5,7,10,11,13],[3,4,5,9,11,12,14],[3,4,7,8,10,12,13],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14]]; G[486]:=Group([(1,5)(2,4)(10,14)(11,12)]); # Design 487: autom. group order 2, simple, residual B[487]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,12,13],[1,2,4,5,11,12,14],[1,3,6,9,10,11,14],[1,4,6,7,9,13,14],[1,4,6,8,10,12,14],[1,4,7,8,9,11,13],[1,5,6,7,8,10,13],[1,5,7,10,11,12,13],[1,5,8,9,11,12,14],[2,3,7,8,11,13,14],[2,4,6,7,9,11,12],[2,4,6,10,11,12,13],[2,4,8,9,10,13,14],[2,5,6,7,9,10,14],[2,5,6,8,11,13,14],[2,5,7,8,9,10,12],[3,4,5,6,8,12,13],[3,4,5,7,10,11,14],[3,4,5,9,10,11,13],[3,4,7,8,10,12,14],[3,5,6,9,12,13,14],[3,6,7,8,9,11,12]]; G[487]:=Group([(1,5)(2,4)(10,13)(11,12)]); # Design 488: autom. group order 2, simple, residual B[488]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,12,13],[1,2,4,5,11,12,14],[1,3,6,9,10,11,14],[1,4,6,7,9,13,14],[1,4,6,8,11,13,14],[1,4,7,8,9,10,12],[1,5,6,7,8,10,13],[1,5,7,10,11,12,13],[1,5,8,9,11,12,14],[2,3,7,8,11,13,14],[2,4,6,7,9,11,12],[2,4,6,10,11,12,13],[2,4,8,9,10,13,14],[2,5,6,7,9,10,14],[2,5,6,8,10,12,14],[2,5,7,8,9,11,13],[3,4,5,6,8,12,13],[3,4,5,7,10,11,14],[3,4,5,9,10,11,13],[3,4,7,8,10,12,14],[3,5,6,9,12,13,14],[3,6,7,8,9,11,12]]; G[488]:=Group([(1,5)(2,4)(10,13)(11,12)]); # Design 489: autom. group order 2, simple, residual B[489]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,12,13],[1,2,4,5,11,12,14],[1,3,6,9,11,13,14],[1,4,6,7,9,10,14],[1,4,6,8,10,12,14],[1,4,7,8,9,11,13],[1,5,6,7,8,10,13],[1,5,7,10,11,12,13],[1,5,8,9,11,12,14],[2,3,7,8,10,11,14],[2,4,6,7,9,11,12],[2,4,6,10,11,12,13],[2,4,8,9,10,13,14],[2,5,6,7,9,13,14],[2,5,6,8,11,13,14],[2,5,7,8,9,10,12],[3,4,5,6,8,12,13],[3,4,5,7,10,11,14],[3,4,5,9,10,11,13],[3,4,7,8,12,13,14],[3,5,6,9,10,12,14],[3,6,7,8,9,11,12]]; G[489]:=Group([(1,5)(2,4)(10,13)(11,12)]); # Design 490: autom. group order 2, simple, residual B[490]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,12,13],[1,2,4,5,11,12,14],[1,3,6,9,11,13,14],[1,4,6,7,9,10,14],[1,4,6,8,11,13,14],[1,4,7,8,9,10,12],[1,5,6,7,8,10,13],[1,5,7,10,11,12,13],[1,5,8,9,11,12,14],[2,3,7,8,10,11,14],[2,4,6,7,9,11,12],[2,4,6,10,11,12,13],[2,4,8,9,10,13,14],[2,5,6,7,9,13,14],[2,5,6,8,10,12,14],[2,5,7,8,9,11,13],[3,4,5,6,8,12,13],[3,4,5,7,10,11,14],[3,4,5,9,10,11,13],[3,4,7,8,12,13,14],[3,5,6,9,10,12,14],[3,6,7,8,9,11,12]]; G[490]:=Group([(1,5)(2,4)(10,13)(11,12)]); # Design 491: autom. group order 2, simple, residual B[491]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,10,12],[1,2,3,11,12,13,14],[1,2,4,5,10,13,14],[1,3,6,9,11,13,14],[1,4,6,7,8,12,13],[1,4,6,8,9,12,13],[1,4,7,9,10,11,14],[1,5,6,7,10,11,12],[1,5,7,8,10,13,14],[1,5,8,9,11,12,14],[2,3,7,8,12,13,14],[2,4,6,7,11,12,14],[2,4,6,9,10,13,14],[2,4,8,9,10,11,12],[2,5,6,7,9,11,13],[2,5,6,8,10,12,14],[2,5,7,8,9,11,13],[3,4,5,6,8,11,14],[3,4,5,7,9,12,14],[3,4,5,10,11,12,13],[3,4,7,8,10,11,13],[3,5,6,9,10,12,13],[3,6,7,8,9,10,14]]; G[491]:=Group([(1,5)(2,4)(6,9)(7,8)(10,14)(11,12)]); # Design 492: autom. group order 2, simple, residual B[492]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,12,13,14],[1,2,4,5,10,11,12],[1,3,6,9,10,11,13],[1,4,6,7,8,9,13],[1,4,6,8,10,12,14],[1,4,7,9,10,11,14],[1,5,6,7,11,12,13],[1,5,7,8,10,13,14],[1,5,8,9,11,12,14],[2,3,7,8,10,11,14],[2,4,6,7,11,12,14],[2,4,6,9,10,13,14],[2,4,8,9,11,12,13],[2,5,6,7,8,9,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,13],[3,4,5,6,11,13,14],[3,4,5,7,9,10,12],[3,4,5,8,11,13,14],[3,4,7,8,10,12,13],[3,5,6,9,10,12,14],[3,6,7,8,9,11,12]]; G[492]:=Group([(1,5)(2,4)(6,9)(7,8)(11,12)(13,14)]); # Design 493: autom. group order 2, simple B[493]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,12,13,14],[1,2,4,5,10,11,12],[1,3,6,9,10,11,13],[1,4,6,7,10,12,14],[1,4,6,8,11,12,13],[1,4,8,9,10,12,14],[1,5,6,7,8,9,13],[1,5,7,8,11,13,14],[1,5,7,9,10,11,14],[2,3,7,8,10,11,14],[2,4,6,7,8,9,14],[2,4,6,9,11,13,14],[2,4,7,9,10,11,13],[2,5,6,7,10,12,13],[2,5,6,8,11,12,14],[2,5,8,9,10,12,13],[3,4,5,6,10,13,14],[3,4,5,7,9,11,12],[3,4,5,8,10,13,14],[3,4,7,8,11,12,13],[3,5,6,9,11,12,14],[3,6,7,8,9,10,12]]; G[493]:=Group([(1,2)(4,5)(6,8)(7,9)(13,14)]); # Design 494: autom. group order 2, simple, residual B[494]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,7,9,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,7,11,12,14],[1,3,5,8,11,13,14],[1,4,5,7,9,10,13],[1,4,5,10,11,12,14],[1,4,6,9,10,11,13],[1,5,6,8,9,10,12],[1,6,7,8,9,12,14],[1,6,7,8,11,13,14],[2,3,6,9,10,11,14],[2,4,5,8,9,11,14],[2,4,6,8,10,13,14],[2,4,7,8,10,12,13],[2,5,6,7,11,12,13],[2,5,6,9,11,12,13],[2,5,7,8,9,10,14],[3,4,5,9,12,13,14],[3,4,6,7,9,12,14],[3,4,6,8,10,11,12],[3,4,7,8,9,11,13],[3,5,6,7,10,13,14],[3,5,7,8,10,11,12]]; G[494]:=Group([(1,12)(3,13)(4,11)(8,9)]); # Design 495: autom. group order 2, simple B[495]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,7,9,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,7,12,13,14],[1,3,5,8,10,13,14],[1,4,5,9,10,11,13],[1,4,5,9,11,12,13],[1,4,6,8,9,10,14],[1,5,6,7,11,12,14],[1,6,7,8,9,11,14],[1,6,7,8,10,12,13],[2,3,6,9,11,13,14],[2,4,5,8,10,11,14],[2,4,6,7,10,11,13],[2,4,7,8,9,10,12],[2,5,6,8,9,11,12],[2,5,6,10,12,13,14],[2,5,7,8,9,13,14],[3,4,5,7,9,12,14],[3,4,6,8,11,12,13],[3,4,6,9,10,12,14],[3,4,7,8,11,13,14],[3,5,6,7,9,10,13],[3,5,7,8,10,11,12]]; G[495]:=Group([(1,4)(2,13)(3,11)(6,9)(7,12)(8,10)]); # Design 496: autom. group order 2, simple B[496]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,7,9,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,7,12,13,14],[1,3,5,8,10,13,14],[1,4,5,9,10,11,13],[1,4,5,9,11,12,13],[1,4,6,8,10,11,14],[1,5,6,7,9,12,14],[1,6,7,8,9,11,14],[1,6,7,8,10,12,13],[2,3,6,9,11,13,14],[2,4,5,8,9,10,14],[2,4,6,7,9,10,13],[2,4,7,8,10,11,12],[2,5,6,8,11,12,13],[2,5,6,9,10,12,14],[2,5,7,8,11,13,14],[3,4,5,7,11,12,14],[3,4,6,8,9,11,12],[3,4,6,10,12,13,14],[3,4,7,8,9,13,14],[3,5,6,7,10,11,13],[3,5,7,8,9,10,12]]; G[496]:=Group([(1,5)(2,11)(3,13)(6,9)(7,12)(8,10)]); # Design 497: autom. group order 2, simple B[497]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,10,13,14],[1,3,5,8,11,13,14],[1,4,5,6,12,13,14],[1,4,5,9,10,11,12],[1,4,7,9,11,12,13],[1,5,7,8,9,10,14],[1,6,7,8,9,11,13],[1,6,7,8,10,12,14],[2,3,7,9,12,13,14],[2,4,5,7,8,11,14],[2,4,6,8,9,12,14],[2,4,7,8,10,11,12],[2,5,6,8,11,12,13],[2,5,6,9,10,11,13],[2,5,7,9,10,13,14],[3,4,5,7,10,12,13],[3,4,6,7,8,9,13],[3,4,6,9,10,11,14],[3,4,8,10,11,13,14],[3,5,6,7,11,12,14],[3,5,6,8,9,10,12]]; G[497]:=Group([(1,11)(2,14)(5,10)(6,8)(7,13)]); # Design 498: autom. group order 2, simple B[498]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,10,13,14],[1,3,5,8,11,13,14],[1,4,5,6,12,13,14],[1,4,5,9,10,11,12],[1,4,7,9,11,12,13],[1,5,7,8,10,12,14],[1,6,7,8,9,10,14],[1,6,7,8,9,11,13],[2,3,7,9,12,13,14],[2,4,5,7,8,11,14],[2,4,6,8,9,12,14],[2,4,7,8,10,11,12],[2,5,6,8,9,11,13],[2,5,6,10,11,12,13],[2,5,7,9,10,13,14],[3,4,5,7,9,10,13],[3,4,6,7,8,12,13],[3,4,6,9,10,11,14],[3,4,8,10,11,13,14],[3,5,6,7,11,12,14],[3,5,6,8,9,10,12]]; G[498]:=Group([(1,11)(2,14)(5,10)(6,8)(7,13)]); # Design 499: autom. group order 2, simple, residual B[499]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,10,13,14],[1,3,5,8,11,13,14],[1,4,5,6,12,13,14],[1,4,5,9,10,11,12],[1,4,7,8,9,12,14],[1,5,7,9,10,11,13],[1,6,7,8,9,10,14],[1,6,7,8,11,12,13],[2,3,7,9,12,13,14],[2,4,5,7,8,11,14],[2,4,6,9,11,12,13],[2,4,7,8,10,11,12],[2,5,6,8,9,11,13],[2,5,6,8,10,12,14],[2,5,7,9,10,13,14],[3,4,5,7,10,12,13],[3,4,6,7,8,9,13],[3,4,6,9,10,11,14],[3,4,8,10,11,13,14],[3,5,6,7,11,12,14],[3,5,6,8,9,10,12]]; G[499]:=Group([(1,11)(2,14)(5,10)(6,8)(7,13)]); # Design 500: autom. group order 2, simple B[500]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,10,13,14],[1,3,5,8,11,13,14],[1,4,5,6,12,13,14],[1,4,5,9,10,11,12],[1,4,7,8,9,12,14],[1,5,7,10,11,12,13],[1,6,7,8,9,10,14],[1,6,7,8,9,11,13],[2,3,7,9,12,13,14],[2,4,5,7,8,11,14],[2,4,6,9,11,12,13],[2,4,7,8,10,11,12],[2,5,6,8,9,11,13],[2,5,6,8,10,12,14],[2,5,7,9,10,13,14],[3,4,5,7,9,10,13],[3,4,6,7,8,12,13],[3,4,6,9,10,11,14],[3,4,8,10,11,13,14],[3,5,6,7,11,12,14],[3,5,6,8,9,10,12]]; G[500]:=Group([(1,11)(2,14)(5,10)(6,8)(7,13)]); # Design 501: autom. group order 2, simple, residual B[501]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,9,11,13],[1,2,4,6,11,12,14],[1,3,5,8,10,12,14],[1,4,5,6,7,13,14],[1,4,5,9,10,11,13],[1,4,8,9,12,13,14],[1,5,7,9,10,11,12],[1,6,7,8,9,11,14],[1,6,7,8,10,12,13],[2,3,7,9,12,13,14],[2,4,5,8,10,12,14],[2,4,6,9,10,12,13],[2,4,7,8,10,11,13],[2,5,6,7,8,9,10],[2,5,6,8,11,13,14],[2,5,7,9,11,12,14],[3,4,5,7,11,12,13],[3,4,6,7,8,9,12],[3,4,6,9,10,11,14],[3,4,7,8,10,11,14],[3,5,6,8,11,12,13],[3,5,6,9,10,13,14]]; G[501]:=Group([(1,10)(2,14)(5,11)(6,8)]); # Design 502: autom. group order 2, simple B[502]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,6,9,11,14],[1,3,5,8,9,10,14],[1,4,5,6,12,13,14],[1,4,5,7,10,11,13],[1,4,7,9,10,12,13],[1,5,7,8,11,12,14],[1,6,7,8,9,10,12],[1,6,8,9,11,13,14],[2,3,7,9,12,13,14],[2,4,5,8,10,12,14],[2,4,6,7,8,13,14],[2,4,8,9,10,11,13],[2,5,6,7,9,10,11],[2,5,6,8,10,12,13],[2,5,7,9,11,12,14],[3,4,5,9,11,12,13],[3,4,6,7,8,9,12],[3,4,6,10,11,12,14],[3,4,7,8,10,11,14],[3,5,6,7,8,11,13],[3,5,6,9,10,13,14]]; G[502]:=Group([(1,10)(2,14)(5,11)(6,8)(9,12)]); # Design 503: autom. group order 2, simple, residual B[503]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,6,9,11,14],[1,3,5,8,9,10,14],[1,4,5,6,12,13,14],[1,4,5,7,10,11,13],[1,4,7,8,12,13,14],[1,5,7,9,10,11,12],[1,6,7,8,9,11,14],[1,6,8,9,10,12,13],[2,3,7,9,12,13,14],[2,4,5,8,10,12,14],[2,4,6,7,9,10,13],[2,4,8,9,10,11,13],[2,5,6,7,8,10,12],[2,5,6,8,11,13,14],[2,5,7,9,11,12,14],[3,4,5,9,11,12,13],[3,4,6,7,8,9,12],[3,4,6,10,11,12,14],[3,4,7,8,10,11,14],[3,5,6,7,8,11,13],[3,5,6,9,10,13,14]]; G[503]:=Group([(1,10)(2,14)(5,11)(6,8)(9,12)]); # Design 504: autom. group order 2, simple, residual B[504]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,10,12,14],[1,3,5,8,11,12,14],[1,4,5,6,9,13,14],[1,4,5,7,10,11,13],[1,4,7,8,12,13,14],[1,5,7,9,10,11,12],[1,6,7,8,9,10,14],[1,6,8,9,11,12,13],[2,3,7,9,12,13,14],[2,4,5,8,11,12,14],[2,4,6,7,11,12,13],[2,4,8,9,10,11,13],[2,5,6,7,8,9,11],[2,5,6,8,10,13,14],[2,5,7,9,10,12,14],[3,4,5,9,10,12,13],[3,4,6,7,8,9,12],[3,4,6,9,10,11,14],[3,4,7,8,10,11,14],[3,5,6,7,11,13,14],[3,5,6,8,10,12,13]]; G[504]:=Group([(1,11)(2,14)(5,10)(6,8)]); # Design 505: autom. group order 2, simple, residual B[505]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,11,12,14],[1,3,5,8,10,12,14],[1,4,5,6,9,13,14],[1,4,5,7,10,11,13],[1,4,7,9,10,12,14],[1,5,7,8,11,12,13],[1,6,7,8,9,10,14],[1,6,8,9,11,12,13],[2,3,7,9,12,13,14],[2,4,5,9,10,12,13],[2,4,6,8,10,12,13],[2,4,7,8,11,13,14],[2,5,6,7,8,9,12],[2,5,6,7,10,11,14],[2,5,8,9,10,11,14],[3,4,5,8,11,12,14],[3,4,6,7,8,9,11],[3,4,6,8,10,13,14],[3,4,7,9,10,11,12],[3,5,6,7,12,13,14],[3,5,6,9,10,11,13]]; G[505]:=Group([(1,11)(3,14)(4,10)]); # Design 506: autom. group order 2, simple B[506]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,6,9,11,14],[1,3,5,8,9,10,14],[1,4,5,6,12,13,14],[1,4,5,7,10,11,13],[1,4,7,9,10,12,13],[1,5,8,11,12,13,14],[1,6,7,8,9,10,12],[1,6,7,8,9,11,14],[2,3,7,9,12,13,14],[2,4,5,8,10,12,14],[2,4,6,7,8,13,14],[2,4,8,9,10,11,13],[2,5,6,7,8,10,12],[2,5,6,9,10,11,13],[2,5,7,9,11,12,14],[3,4,5,7,9,11,12],[3,4,6,8,9,12,13],[3,4,6,10,11,12,14],[3,4,7,8,10,11,14],[3,5,6,7,8,11,13],[3,5,6,9,10,13,14]]; G[506]:=Group([(1,10)(2,14)(5,11)(6,8)(9,12)]); # Design 507: autom. group order 2, simple B[507]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,6,9,11,14],[1,3,5,8,9,10,14],[1,4,5,6,12,13,14],[1,4,5,7,10,11,13],[1,4,7,8,12,13,14],[1,5,9,10,11,12,13],[1,6,7,8,9,10,12],[1,6,7,8,9,11,14],[2,3,7,9,12,13,14],[2,4,5,8,10,12,14],[2,4,6,7,9,10,13],[2,4,8,9,10,11,13],[2,5,6,7,8,10,12],[2,5,6,8,11,13,14],[2,5,7,9,11,12,14],[3,4,5,7,9,11,12],[3,4,6,8,9,12,13],[3,4,6,10,11,12,14],[3,4,7,8,10,11,14],[3,5,6,7,8,11,13],[3,5,6,9,10,13,14]]; G[507]:=Group([(1,10)(2,14)(5,11)(6,8)(9,12)]); # Design 508: autom. group order 2, simple B[508]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,10,12,14],[1,3,5,8,11,12,14],[1,4,5,6,9,13,14],[1,4,5,7,10,11,13],[1,4,7,8,12,13,14],[1,5,9,10,11,12,13],[1,6,7,8,9,10,14],[1,6,7,8,9,11,12],[2,3,7,9,12,13,14],[2,4,5,8,11,12,14],[2,4,6,7,11,12,13],[2,4,8,9,10,11,13],[2,5,6,7,8,9,11],[2,5,6,8,10,13,14],[2,5,7,9,10,12,14],[3,4,5,7,9,10,12],[3,4,6,8,9,12,13],[3,4,6,9,10,11,14],[3,4,7,8,10,11,14],[3,5,6,7,11,13,14],[3,5,6,8,10,12,13]]; G[508]:=Group([(1,11)(2,14)(5,10)(6,8)]); # Design 509: autom. group order 2, simple, residual B[509]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,12,14],[1,4,5,9,10,11,13],[1,4,6,7,9,10,12],[1,5,6,8,9,11,13],[1,6,7,8,10,13,14],[1,7,8,9,11,12,14],[2,3,8,9,10,11,14],[2,4,5,8,12,13,14],[2,4,6,10,11,13,14],[2,4,7,8,9,10,13],[2,5,6,7,8,11,12],[2,5,6,7,9,13,14],[2,5,7,9,10,11,12],[3,4,5,7,10,11,14],[3,4,6,7,8,9,14],[3,4,6,9,11,12,13],[3,4,7,8,11,12,13],[3,5,6,8,10,12,13],[3,5,6,9,10,12,14]]; G[509]:=Group([(1,13)(2,12)(5,11)(6,8)]); # Design 510: autom. group order 2, simple, residual B[510]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,12,13],[1,2,4,6,11,12,14],[1,3,5,10,11,13,14],[1,4,5,7,8,10,12],[1,4,5,7,9,11,13],[1,4,6,9,10,12,14],[1,5,6,8,11,13,14],[1,6,7,8,9,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,11,14],[2,4,5,8,12,13,14],[2,4,6,7,10,11,13],[2,4,8,9,10,13,14],[2,5,6,7,9,10,13],[2,5,6,8,9,11,12],[2,5,7,10,11,12,14],[3,4,5,9,10,11,14],[3,4,6,7,8,10,14],[3,4,6,9,11,12,13],[3,4,7,8,11,12,13],[3,5,6,7,9,12,14],[3,5,6,8,10,12,13]]; G[510]:=Group([(1,13)(2,12)(5,11)(6,8)]); # Design 511: autom. group order 2, simple, residual B[511]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,3,8,9,12,14],[1,2,4,6,10,13,14],[1,3,5,8,11,13,14],[1,4,5,7,11,12,14],[1,4,5,10,12,13,14],[1,4,6,7,8,9,13],[1,5,6,7,9,11,12],[1,6,8,9,10,12,14],[1,7,8,9,10,11,13],[2,3,7,9,12,13,14],[2,4,5,8,9,10,11],[2,4,6,9,11,13,14],[2,4,7,8,11,12,14],[2,5,6,7,8,10,14],[2,5,6,9,11,12,13],[2,5,7,8,10,12,13],[3,4,5,9,10,12,13],[3,4,6,7,8,12,13],[3,4,6,8,10,11,12],[3,4,7,9,10,11,14],[3,5,6,7,9,10,14],[3,5,6,8,11,13,14]]; G[511]:=Group([(2,9)(3,8)(4,12)(5,14)(7,10)(11,13)]); # Design 512: autom. group order 2, simple, residual B[512]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,3,8,9,12,14],[1,2,4,6,10,13,14],[1,3,5,8,11,13,14],[1,4,5,7,11,12,14],[1,4,5,10,12,13,14],[1,4,6,7,8,9,13],[1,5,6,7,9,11,12],[1,6,8,9,10,12,14],[1,7,8,9,10,11,13],[2,3,7,9,12,13,14],[2,4,5,8,9,10,11],[2,4,6,8,11,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,13,14],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,9,10,12,13],[3,4,6,7,8,10,14],[3,4,6,9,11,12,13],[3,4,7,9,10,11,14],[3,5,6,7,8,10,12],[3,5,6,8,11,13,14]]; G[512]:=Group([(2,9)(3,8)(4,12)(5,14)(7,10)(11,13)]); # Design 513: autom. group order 2, simple, residual B[513]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,10,12,14],[1,3,5,8,11,12,14],[1,4,5,7,12,13,14],[1,4,5,9,10,11,13],[1,4,6,7,8,11,13],[1,5,6,7,9,10,14],[1,6,8,9,11,12,13],[1,7,8,9,10,12,14],[2,3,7,9,12,13,14],[2,4,5,8,11,12,14],[2,4,6,8,9,13,14],[2,4,7,10,11,12,13],[2,5,6,7,9,11,12],[2,5,6,8,10,13,14],[2,5,7,8,9,10,11],[3,4,5,9,10,12,13],[3,4,6,7,8,9,12],[3,4,6,9,10,11,14],[3,4,7,8,10,11,14],[3,5,6,7,11,13,14],[3,5,6,8,10,12,13]]; G[513]:=Group([(1,11)(2,14)(5,10)(6,8)]); # Design 514: autom. group order 2, simple, residual B[514]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,11,14],[1,3,5,9,10,12,14],[1,4,5,7,10,11,14],[1,4,5,8,9,12,13],[1,4,6,7,12,13,14],[1,5,6,7,8,10,13],[1,6,8,9,11,12,13],[1,7,8,9,10,11,14],[2,3,7,8,9,13,14],[2,4,5,10,11,12,13],[2,4,6,9,10,13,14],[2,4,7,8,9,10,12],[2,5,6,7,9,11,12],[2,5,6,8,10,13,14],[2,5,7,8,11,12,14],[3,4,5,8,11,13,14],[3,4,6,7,8,12,14],[3,4,6,8,10,11,12],[3,4,7,9,10,11,13],[3,5,6,7,9,11,13],[3,5,6,9,10,12,14]]; G[514]:=Group([(2,13)(3,12)(4,8)(5,9)(7,11)(10,14)]); # Design 515: autom. group order 2, simple, residual B[515]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,10,11,12,13],[1,2,4,6,9,10,14],[1,3,5,9,11,12,14],[1,4,5,7,10,11,14],[1,4,5,8,9,12,13],[1,4,6,7,12,13,14],[1,5,6,7,8,11,13],[1,6,8,9,10,12,13],[1,7,8,9,10,11,14],[2,3,7,8,9,13,14],[2,4,5,10,11,12,13],[2,4,6,9,11,13,14],[2,4,7,8,9,11,12],[2,5,6,7,9,10,12],[2,5,6,8,11,13,14],[2,5,7,8,10,12,14],[3,4,5,8,10,13,14],[3,4,6,7,8,11,12],[3,4,6,8,10,12,14],[3,4,7,9,10,11,13],[3,5,6,7,9,10,13],[3,5,6,9,11,12,14]]; G[515]:=Group([(2,13)(3,12)(4,8)(5,9)(7,10)(11,14)]); # Design 516: autom. group order 2, simple, residual B[516]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,11,14],[1,3,5,9,10,12,14],[1,4,5,7,10,11,14],[1,4,5,8,9,12,13],[1,4,6,7,12,13,14],[1,5,6,7,8,10,13],[1,6,8,9,11,12,13],[1,7,8,9,10,11,14],[2,3,7,8,9,13,14],[2,4,5,10,11,12,13],[2,4,6,8,10,12,14],[2,4,7,8,9,10,12],[2,5,6,7,9,13,14],[2,5,6,9,10,11,13],[2,5,7,8,11,12,14],[3,4,5,8,11,13,14],[3,4,6,7,9,11,12],[3,4,6,8,10,13,14],[3,4,7,9,10,11,13],[3,5,6,7,8,11,12],[3,5,6,9,10,12,14]]; G[516]:=Group([(2,13)(3,12)(4,8)(5,9)(7,11)(10,14)]); # Design 517: autom. group order 2, simple, residual B[517]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,10,11,12,13],[1,2,4,6,9,10,14],[1,3,5,9,11,12,14],[1,4,5,7,10,11,14],[1,4,5,8,9,12,13],[1,4,6,7,12,13,14],[1,5,6,7,8,11,13],[1,6,8,9,10,12,13],[1,7,8,9,10,11,14],[2,3,7,8,9,13,14],[2,4,5,10,11,12,13],[2,4,6,8,11,12,14],[2,4,7,8,9,11,12],[2,5,6,7,9,11,13],[2,5,6,9,10,13,14],[2,5,7,8,10,12,14],[3,4,5,8,10,13,14],[3,4,6,7,9,10,12],[3,4,6,8,11,13,14],[3,4,7,9,10,11,13],[3,5,6,7,8,10,12],[3,5,6,9,11,12,14]]; G[517]:=Group([(2,13)(3,12)(4,8)(5,9)(7,10)(11,14)]); # Design 518: autom. group order 2, simple, residual B[518]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,12,13],[1,2,4,6,11,12,14],[1,3,5,9,11,13,14],[1,4,5,7,10,11,13],[1,4,5,8,10,12,14],[1,4,6,7,9,10,12],[1,5,6,7,8,11,13],[1,6,8,9,10,13,14],[1,7,8,9,11,12,14],[2,3,7,8,10,11,14],[2,4,5,8,12,13,14],[2,4,6,10,11,13,14],[2,4,7,8,9,10,13],[2,5,6,7,9,13,14],[2,5,6,8,9,11,12],[2,5,7,9,10,11,12],[3,4,5,9,10,11,14],[3,4,6,7,8,9,14],[3,4,6,9,11,12,13],[3,4,7,8,11,12,13],[3,5,6,7,10,12,14],[3,5,6,8,10,12,13]]; G[518]:=Group([(1,13)(2,12)(5,11)(6,8)]); # Design 519: autom. group order 2, simple, residual B[519]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,10,11,13,14],[1,4,5,7,9,11,13],[1,4,5,8,9,10,12],[1,4,6,7,10,12,14],[1,5,6,8,11,13,14],[1,6,7,8,9,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,11,14],[2,4,5,8,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,13,14],[2,5,6,7,8,11,12],[2,5,6,7,9,10,13],[2,5,9,10,11,12,14],[3,4,5,7,10,11,14],[3,4,6,8,9,10,14],[3,4,6,9,11,12,13],[3,4,7,8,11,12,13],[3,5,6,7,9,12,14],[3,5,6,8,10,12,13]]; G[519]:=Group([(1,13)(2,12)(5,11)(6,8)]); # Design 520: autom. group order 2, simple, residual B[520]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,9,11,13],[1,2,4,6,11,12,14],[1,3,5,8,10,12,14],[1,4,5,7,10,11,13],[1,4,5,9,12,13,14],[1,4,6,8,9,10,13],[1,5,6,7,9,11,14],[1,6,7,8,10,12,13],[1,7,8,9,11,12,14],[2,3,7,9,12,13,14],[2,4,5,8,10,12,14],[2,4,6,7,8,13,14],[2,4,9,10,11,12,13],[2,5,6,7,9,10,12],[2,5,6,8,11,13,14],[2,5,7,8,9,10,11],[3,4,5,7,11,12,13],[3,4,6,7,8,9,12],[3,4,6,9,10,11,14],[3,4,7,8,10,11,14],[3,5,6,8,11,12,13],[3,5,6,9,10,13,14]]; G[520]:=Group([(1,10)(2,14)(5,11)(6,8)]); # Design 521: autom. group order 2, simple, residual B[521]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,7,9,13,14],[1,4,5,8,9,10,11],[1,4,5,10,11,12,13],[1,4,6,8,11,13,14],[1,5,7,8,11,12,14],[1,6,7,8,9,10,14],[1,6,7,9,10,12,13],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,7,9,10,11,12],[2,4,7,9,11,13,14],[2,5,6,7,8,11,12],[2,5,6,8,9,12,13],[2,5,7,8,10,13,14],[3,4,5,7,10,12,14],[3,4,6,7,8,11,13],[3,4,6,8,10,12,14],[3,4,7,8,9,12,13],[3,5,6,9,10,11,13],[3,5,6,9,11,12,14]]; G[521]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 522: autom. group order 2, simple, residual B[522]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,7,9,13,14],[1,4,5,8,9,10,11],[1,4,5,10,11,12,13],[1,4,6,8,11,13,14],[1,5,7,8,11,12,14],[1,6,7,8,9,10,14],[1,6,7,9,10,12,13],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,7,9,10,11,13],[2,4,7,9,11,12,14],[2,5,6,7,8,11,12],[2,5,6,8,9,12,13],[2,5,7,8,10,13,14],[3,4,5,7,10,12,14],[3,4,6,7,8,11,13],[3,4,6,8,10,12,14],[3,4,7,8,9,12,13],[3,5,6,9,10,11,12],[3,5,6,9,11,13,14]]; G[522]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 523: autom. group order 2, simple, residual B[523]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,7,9,13,14],[1,4,5,8,9,10,11],[1,4,5,10,11,12,13],[1,4,6,8,11,13,14],[1,5,7,8,11,12,14],[1,6,7,8,9,10,14],[1,6,7,9,10,12,13],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,7,9,10,11,12],[2,4,7,9,11,13,14],[2,5,6,7,8,11,13],[2,5,6,8,10,12,14],[2,5,7,8,9,12,13],[3,4,5,7,10,12,14],[3,4,6,7,8,11,12],[3,4,6,8,9,12,13],[3,4,7,8,10,13,14],[3,5,6,9,10,11,13],[3,5,6,9,11,12,14]]; G[523]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 524: autom. group order 2, simple, residual B[524]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,7,9,13,14],[1,4,5,8,9,10,11],[1,4,5,10,11,12,13],[1,4,6,8,11,13,14],[1,5,7,8,11,12,14],[1,6,7,8,9,10,14],[1,6,7,9,10,12,13],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,7,9,10,11,13],[2,4,7,9,11,12,14],[2,5,6,7,8,11,13],[2,5,6,8,10,12,14],[2,5,7,8,9,12,13],[3,4,5,7,10,12,14],[3,4,6,7,8,11,12],[3,4,6,8,9,12,13],[3,4,7,8,10,13,14],[3,5,6,9,10,11,12],[3,5,6,9,11,13,14]]; G[524]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 525: autom. group order 2, simple, residual B[525]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,7,9,13,14],[1,4,5,8,10,11,14],[1,4,5,10,12,13,14],[1,4,6,8,9,11,12],[1,5,7,8,9,11,13],[1,6,7,8,10,12,13],[1,6,7,9,10,11,14],[2,3,8,9,10,11,14],[2,4,5,6,10,11,13],[2,4,7,9,10,13,14],[2,4,7,9,11,12,13],[2,5,6,7,8,12,14],[2,5,6,8,9,10,13],[2,5,7,8,11,12,14],[3,4,5,7,10,11,12],[3,4,6,7,8,13,14],[3,4,6,8,11,13,14],[3,4,7,8,9,10,12],[3,5,6,9,10,12,14],[3,5,6,9,11,12,13]]; G[525]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 526: autom. group order 2, simple, residual B[526]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,7,9,13,14],[1,4,5,8,10,11,14],[1,4,5,10,12,13,14],[1,4,6,8,9,11,13],[1,5,7,8,9,11,12],[1,6,7,8,10,12,13],[1,6,7,9,10,11,14],[2,3,8,9,10,11,14],[2,4,5,6,10,11,12],[2,4,7,9,10,13,14],[2,4,7,9,11,12,13],[2,5,6,7,8,13,14],[2,5,6,8,9,10,13],[2,5,7,8,11,12,14],[3,4,5,7,10,11,13],[3,4,6,7,8,12,14],[3,4,6,8,11,13,14],[3,4,7,8,9,10,12],[3,5,6,9,10,12,14],[3,5,6,9,11,12,13]]; G[526]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 527: autom. group order 2, simple, residual B[527]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,7,9,13,14],[1,4,5,8,10,11,14],[1,4,5,10,12,13,14],[1,4,6,8,9,11,12],[1,5,7,8,9,11,13],[1,6,7,8,10,12,13],[1,6,7,9,10,11,14],[2,3,8,9,10,11,14],[2,4,5,6,10,11,13],[2,4,7,9,10,13,14],[2,4,7,9,11,12,13],[2,5,6,7,8,12,14],[2,5,6,8,11,13,14],[2,5,7,8,9,10,12],[3,4,5,7,10,11,12],[3,4,6,7,8,13,14],[3,4,6,8,9,10,13],[3,4,7,8,11,12,14],[3,5,6,9,10,12,14],[3,5,6,9,11,12,13]]; G[527]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 528: autom. group order 2, simple, residual B[528]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,7,9,13,14],[1,4,5,8,10,11,14],[1,4,5,10,12,13,14],[1,4,6,8,9,11,13],[1,5,7,8,9,11,12],[1,6,7,8,10,12,13],[1,6,7,9,10,11,14],[2,3,8,9,10,11,14],[2,4,5,6,10,11,12],[2,4,7,9,10,13,14],[2,4,7,9,11,12,13],[2,5,6,7,8,13,14],[2,5,6,8,11,13,14],[2,5,7,8,9,10,12],[3,4,5,7,10,11,13],[3,4,6,7,8,12,14],[3,4,6,8,9,10,13],[3,4,7,8,11,12,14],[3,5,6,9,10,12,14],[3,5,6,9,11,12,13]]; G[528]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 529: autom. group order 2, simple, residual B[529]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,7,9,13,14],[1,4,5,8,9,10,11],[1,4,5,10,11,12,13],[1,4,6,8,11,12,14],[1,5,7,8,11,13,14],[1,6,7,8,9,10,14],[1,6,7,9,10,12,13],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,7,8,9,12,13],[2,4,7,9,10,11,13],[2,5,6,7,8,11,12],[2,5,6,9,11,13,14],[2,5,7,8,10,12,14],[3,4,5,7,10,12,14],[3,4,6,7,8,11,13],[3,4,6,8,10,13,14],[3,4,7,9,11,12,14],[3,5,6,8,9,12,13],[3,5,6,9,10,11,12]]; G[529]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 530: autom. group order 2, simple, residual B[530]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,7,9,13,14],[1,4,5,8,9,10,11],[1,4,5,10,11,12,13],[1,4,6,8,11,13,14],[1,5,7,8,11,12,14],[1,6,7,8,9,10,14],[1,6,7,9,10,12,13],[2,3,8,9,10,11,14],[2,4,5,6,10,12,14],[2,4,7,8,9,12,13],[2,4,7,9,10,11,13],[2,5,6,7,8,11,13],[2,5,6,9,11,13,14],[2,5,7,8,10,12,14],[3,4,5,7,10,13,14],[3,4,6,7,8,11,12],[3,4,6,8,10,13,14],[3,4,7,9,11,12,14],[3,5,6,8,9,12,13],[3,5,6,9,10,11,12]]; G[530]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 531: autom. group order 2, simple, residual B[531]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,7,9,13,14],[1,4,5,8,9,10,11],[1,4,5,10,11,12,13],[1,4,6,8,11,12,14],[1,5,7,8,11,13,14],[1,6,7,8,9,10,14],[1,6,7,9,10,12,13],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,7,8,9,12,13],[2,4,7,9,11,13,14],[2,5,6,7,8,11,12],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,7,10,12,14],[3,4,6,7,8,11,13],[3,4,6,8,10,13,14],[3,4,7,9,10,11,12],[3,5,6,8,9,12,13],[3,5,6,9,11,12,14]]; G[531]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 532: autom. group order 2, simple, residual B[532]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,7,9,13,14],[1,4,5,8,9,10,11],[1,4,5,10,11,12,13],[1,4,6,8,11,13,14],[1,5,7,8,11,12,14],[1,6,7,8,9,10,14],[1,6,7,9,10,12,13],[2,3,8,9,10,11,14],[2,4,5,6,10,12,14],[2,4,7,8,9,12,13],[2,4,7,9,11,13,14],[2,5,6,7,8,11,13],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,7,10,13,14],[3,4,6,7,8,11,12],[3,4,6,8,10,13,14],[3,4,7,9,10,11,12],[3,5,6,8,9,12,13],[3,5,6,9,11,12,14]]; G[532]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 533: autom. group order 2, simple, residual B[533]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,7,9,13,14],[1,4,5,8,9,10,11],[1,4,5,10,11,12,13],[1,4,6,8,11,13,14],[1,5,7,8,11,12,14],[1,6,7,8,9,10,14],[1,6,7,9,10,12,13],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,7,8,10,13,14],[2,4,7,9,10,11,12],[2,5,6,7,8,11,13],[2,5,6,9,11,12,14],[2,5,7,8,9,12,13],[3,4,5,7,10,12,14],[3,4,6,7,8,11,12],[3,4,6,8,9,12,13],[3,4,7,9,11,13,14],[3,5,6,8,10,12,14],[3,5,6,9,10,11,13]]; G[533]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 534: autom. group order 2, simple, residual B[534]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,7,9,13,14],[1,4,5,8,9,10,11],[1,4,5,10,11,12,13],[1,4,6,8,11,13,14],[1,5,7,8,11,12,14],[1,6,7,8,9,10,14],[1,6,7,9,10,12,13],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,7,8,10,13,14],[2,4,7,9,11,12,14],[2,5,6,7,8,11,13],[2,5,6,9,10,11,12],[2,5,7,8,9,12,13],[3,4,5,7,10,12,14],[3,4,6,7,8,11,12],[3,4,6,8,9,12,13],[3,4,7,9,10,11,13],[3,5,6,8,10,12,14],[3,5,6,9,11,13,14]]; G[534]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 535: autom. group order 2, simple, residual B[535]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,7,9,13,14],[1,4,5,8,10,11,14],[1,4,5,10,12,13,14],[1,4,6,8,9,11,13],[1,5,7,8,9,11,12],[1,6,7,8,10,12,13],[1,6,7,9,10,11,14],[2,3,8,9,10,11,14],[2,4,5,6,10,11,13],[2,4,7,8,9,10,12],[2,4,7,9,10,13,14],[2,5,6,7,8,12,14],[2,5,6,9,11,12,13],[2,5,7,8,11,13,14],[3,4,5,7,10,11,12],[3,4,6,7,8,13,14],[3,4,6,8,11,12,14],[3,4,7,9,11,12,13],[3,5,6,8,9,10,13],[3,5,6,9,10,12,14]]; G[535]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 536: autom. group order 2, simple, residual B[536]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,7,9,13,14],[1,4,5,8,10,11,14],[1,4,5,10,12,13,14],[1,4,6,8,9,11,13],[1,5,7,8,9,11,12],[1,6,7,8,10,12,13],[1,6,7,9,10,11,14],[2,3,8,9,10,11,14],[2,4,5,6,10,11,13],[2,4,7,8,9,10,13],[2,4,7,9,10,12,14],[2,5,6,7,8,12,14],[2,5,6,9,11,12,13],[2,5,7,8,11,13,14],[3,4,5,7,10,11,12],[3,4,6,7,8,13,14],[3,4,6,8,11,12,14],[3,4,7,9,11,12,13],[3,5,6,8,9,10,12],[3,5,6,9,10,13,14]]; G[536]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 537: autom. group order 2, simple, residual B[537]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,7,9,13,14],[1,4,5,8,10,11,14],[1,4,5,10,12,13,14],[1,4,6,8,9,11,12],[1,5,7,8,9,11,13],[1,6,7,8,10,12,13],[1,6,7,9,10,11,14],[2,3,8,9,10,11,14],[2,4,5,6,10,11,13],[2,4,7,8,9,10,13],[2,4,7,9,11,12,13],[2,5,6,7,8,12,14],[2,5,6,9,10,13,14],[2,5,7,8,11,12,14],[3,4,5,7,10,11,12],[3,4,6,7,8,13,14],[3,4,6,8,11,13,14],[3,4,7,9,10,12,14],[3,5,6,8,9,10,12],[3,5,6,9,11,12,13]]; G[537]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 538: autom. group order 2, simple, residual B[538]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,7,9,13,14],[1,4,5,8,10,11,14],[1,4,5,10,12,13,14],[1,4,6,8,9,11,13],[1,5,7,8,9,11,12],[1,6,7,8,10,12,13],[1,6,7,9,10,11,14],[2,3,8,9,10,11,14],[2,4,5,6,10,11,12],[2,4,7,8,9,10,13],[2,4,7,9,11,12,13],[2,5,6,7,8,13,14],[2,5,6,9,10,13,14],[2,5,7,8,11,12,14],[3,4,5,7,10,11,13],[3,4,6,7,8,12,14],[3,4,6,8,11,13,14],[3,4,7,9,10,12,14],[3,5,6,8,9,10,12],[3,5,6,9,11,12,13]]; G[538]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 539: autom. group order 2, simple, residual B[539]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,7,9,13,14],[1,4,5,8,10,11,14],[1,4,5,10,12,13,14],[1,4,6,8,9,11,13],[1,5,7,8,9,11,12],[1,6,7,8,10,12,13],[1,6,7,9,10,11,14],[2,3,8,9,10,11,14],[2,4,5,6,10,11,13],[2,4,7,8,11,12,14],[2,4,7,9,10,13,14],[2,5,6,7,8,12,14],[2,5,6,9,11,12,13],[2,5,7,8,9,10,13],[3,4,5,7,10,11,12],[3,4,6,7,8,13,14],[3,4,6,8,9,10,12],[3,4,7,9,11,12,13],[3,5,6,8,11,13,14],[3,5,6,9,10,12,14]]; G[539]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 540: autom. group order 2, simple, residual B[540]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,7,9,13,14],[1,4,5,8,10,11,14],[1,4,5,10,12,13,14],[1,4,6,8,9,11,13],[1,5,7,8,9,11,12],[1,6,7,8,10,12,13],[1,6,7,9,10,11,14],[2,3,8,9,10,11,14],[2,4,5,6,10,11,13],[2,4,7,8,11,13,14],[2,4,7,9,10,12,14],[2,5,6,7,8,12,14],[2,5,6,9,11,12,13],[2,5,7,8,9,10,13],[3,4,5,7,10,11,12],[3,4,6,7,8,13,14],[3,4,6,8,9,10,12],[3,4,7,9,11,12,13],[3,5,6,8,11,12,14],[3,5,6,9,10,13,14]]; G[540]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 541: autom. group order 2, simple, residual B[541]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,7,9,13,14],[1,4,5,8,10,11,14],[1,4,5,10,12,13,14],[1,4,6,8,9,11,12],[1,5,7,8,9,11,13],[1,6,7,8,10,12,13],[1,6,7,9,10,11,14],[2,3,8,9,10,11,14],[2,4,5,6,10,11,13],[2,4,7,8,11,13,14],[2,4,7,9,11,12,13],[2,5,6,7,8,12,14],[2,5,6,9,10,13,14],[2,5,7,8,9,10,12],[3,4,5,7,10,11,12],[3,4,6,7,8,13,14],[3,4,6,8,9,10,13],[3,4,7,9,10,12,14],[3,5,6,8,11,12,14],[3,5,6,9,11,12,13]]; G[541]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 542: autom. group order 2, simple, residual B[542]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,7,9,13,14],[1,4,5,8,10,11,14],[1,4,5,10,12,13,14],[1,4,6,8,9,11,13],[1,5,7,8,9,11,12],[1,6,7,8,10,12,13],[1,6,7,9,10,11,14],[2,3,8,9,10,11,14],[2,4,5,6,10,11,12],[2,4,7,8,11,13,14],[2,4,7,9,11,12,13],[2,5,6,7,8,13,14],[2,5,6,9,10,13,14],[2,5,7,8,9,10,12],[3,4,5,7,10,11,13],[3,4,6,7,8,12,14],[3,4,6,8,9,10,13],[3,4,7,9,10,12,14],[3,5,6,8,11,12,14],[3,5,6,9,11,12,13]]; G[542]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 543: autom. group order 2, simple, residual B[543]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,7,9,13,14],[1,4,5,8,9,10,11],[1,4,5,10,11,12,13],[1,4,6,8,11,12,14],[1,5,7,8,11,13,14],[1,6,7,8,9,10,14],[1,6,7,9,10,12,13],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,7,8,9,12,13],[2,4,7,9,10,11,13],[2,5,6,7,8,11,12],[2,5,6,8,10,13,14],[2,5,7,9,11,12,14],[3,4,5,7,10,12,14],[3,4,6,7,8,11,13],[3,4,6,9,11,13,14],[3,4,7,8,10,12,14],[3,5,6,8,9,12,13],[3,5,6,9,10,11,12]]; G[543]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 544: autom. group order 2, simple, residual B[544]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,7,9,13,14],[1,4,5,8,9,10,11],[1,4,5,10,11,12,13],[1,4,6,8,11,13,14],[1,5,7,8,11,12,14],[1,6,7,8,9,10,14],[1,6,7,9,10,12,13],[2,3,8,9,10,11,14],[2,4,5,6,10,12,14],[2,4,7,8,9,12,13],[2,4,7,9,10,11,13],[2,5,6,7,8,11,13],[2,5,6,8,10,13,14],[2,5,7,9,11,12,14],[3,4,5,7,10,13,14],[3,4,6,7,8,11,12],[3,4,6,9,11,13,14],[3,4,7,8,10,12,14],[3,5,6,8,9,12,13],[3,5,6,9,10,11,12]]; G[544]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 545: autom. group order 2, simple, residual B[545]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,7,9,13,14],[1,4,5,8,9,10,11],[1,4,5,10,11,12,13],[1,4,6,8,11,12,14],[1,5,7,8,11,13,14],[1,6,7,8,9,10,14],[1,6,7,9,10,12,13],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,7,8,9,12,13],[2,4,7,9,11,13,14],[2,5,6,7,8,11,12],[2,5,6,8,10,13,14],[2,5,7,9,10,11,12],[3,4,5,7,10,12,14],[3,4,6,7,8,11,13],[3,4,6,9,10,11,13],[3,4,7,8,10,12,14],[3,5,6,8,9,12,13],[3,5,6,9,11,12,14]]; G[545]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 546: autom. group order 2, simple, residual B[546]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,7,9,13,14],[1,4,5,8,9,10,11],[1,4,5,10,11,12,13],[1,4,6,8,11,13,14],[1,5,7,8,11,12,14],[1,6,7,8,9,10,14],[1,6,7,9,10,12,13],[2,3,8,9,10,11,14],[2,4,5,6,10,12,14],[2,4,7,8,9,12,13],[2,4,7,9,11,13,14],[2,5,6,7,8,11,13],[2,5,6,8,10,13,14],[2,5,7,9,10,11,12],[3,4,5,7,10,13,14],[3,4,6,7,8,11,12],[3,4,6,9,10,11,13],[3,4,7,8,10,12,14],[3,5,6,8,9,12,13],[3,5,6,9,11,12,14]]; G[546]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 547: autom. group order 2, simple, residual B[547]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,7,9,13,14],[1,4,5,8,9,10,11],[1,4,5,10,11,12,13],[1,4,6,8,11,13,14],[1,5,7,8,11,12,14],[1,6,7,8,9,10,14],[1,6,7,9,10,12,13],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,7,8,10,12,14],[2,4,7,9,10,11,13],[2,5,6,7,8,11,12],[2,5,6,8,9,12,13],[2,5,7,9,11,13,14],[3,4,5,7,10,12,14],[3,4,6,7,8,11,13],[3,4,6,9,11,12,14],[3,4,7,8,9,12,13],[3,5,6,8,10,13,14],[3,5,6,9,10,11,12]]; G[547]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 548: autom. group order 2, simple, residual B[548]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,7,9,13,14],[1,4,5,8,9,10,11],[1,4,5,10,11,12,13],[1,4,6,8,11,13,14],[1,5,7,8,11,12,14],[1,6,7,8,9,10,14],[1,6,7,9,10,12,13],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,7,8,10,13,14],[2,4,7,9,10,11,12],[2,5,6,7,8,11,12],[2,5,6,8,9,12,13],[2,5,7,9,11,13,14],[3,4,5,7,10,12,14],[3,4,6,7,8,11,13],[3,4,6,9,11,12,14],[3,4,7,8,9,12,13],[3,5,6,8,10,12,14],[3,5,6,9,10,11,13]]; G[548]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 549: autom. group order 2, simple, residual B[549]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,7,9,13,14],[1,4,5,8,9,10,11],[1,4,5,10,11,12,13],[1,4,6,8,11,13,14],[1,5,7,8,11,12,14],[1,6,7,8,9,10,14],[1,6,7,9,10,12,13],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,7,8,10,12,14],[2,4,7,9,11,13,14],[2,5,6,7,8,11,12],[2,5,6,8,9,12,13],[2,5,7,9,10,11,13],[3,4,5,7,10,12,14],[3,4,6,7,8,11,13],[3,4,6,9,10,11,12],[3,4,7,8,9,12,13],[3,5,6,8,10,13,14],[3,5,6,9,11,12,14]]; G[549]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 550: autom. group order 2, simple, residual B[550]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,7,9,13,14],[1,4,5,8,9,10,11],[1,4,5,10,11,12,13],[1,4,6,8,11,13,14],[1,5,7,8,11,12,14],[1,6,7,8,9,10,14],[1,6,7,9,10,12,13],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,7,8,10,13,14],[2,4,7,9,11,12,14],[2,5,6,7,8,11,12],[2,5,6,8,9,12,13],[2,5,7,9,10,11,13],[3,4,5,7,10,12,14],[3,4,6,7,8,11,13],[3,4,6,9,10,11,12],[3,4,7,8,9,12,13],[3,5,6,8,10,12,14],[3,5,6,9,11,13,14]]; G[550]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 551: autom. group order 2, simple, residual B[551]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,7,9,13,14],[1,4,5,8,10,11,14],[1,4,5,10,12,13,14],[1,4,6,8,9,11,13],[1,5,7,8,9,11,12],[1,6,7,8,10,12,13],[1,6,7,9,10,11,14],[2,3,8,9,10,11,14],[2,4,5,6,10,11,13],[2,4,7,8,9,10,12],[2,4,7,9,10,13,14],[2,5,6,7,8,13,14],[2,5,6,8,11,12,14],[2,5,7,9,11,12,13],[3,4,5,7,10,11,12],[3,4,6,7,8,12,14],[3,4,6,9,11,12,13],[3,4,7,8,11,13,14],[3,5,6,8,9,10,13],[3,5,6,9,10,12,14]]; G[551]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 552: autom. group order 2, simple, residual B[552]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,7,9,13,14],[1,4,5,8,10,11,14],[1,4,5,10,12,13,14],[1,4,6,8,9,11,13],[1,5,7,8,9,11,12],[1,6,7,8,10,12,13],[1,6,7,9,10,11,14],[2,3,8,9,10,11,14],[2,4,5,6,10,11,13],[2,4,7,8,9,10,13],[2,4,7,9,10,12,14],[2,5,6,7,8,13,14],[2,5,6,8,11,12,14],[2,5,7,9,11,12,13],[3,4,5,7,10,11,12],[3,4,6,7,8,12,14],[3,4,6,9,11,12,13],[3,4,7,8,11,13,14],[3,5,6,8,9,10,12],[3,5,6,9,10,13,14]]; G[552]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 553: autom. group order 2, simple, residual B[553]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,7,9,13,14],[1,4,5,8,10,11,14],[1,4,5,10,12,13,14],[1,4,6,8,9,11,12],[1,5,7,8,9,11,13],[1,6,7,8,10,12,13],[1,6,7,9,10,11,14],[2,3,8,9,10,11,14],[2,4,5,6,10,11,13],[2,4,7,8,9,10,13],[2,4,7,9,11,12,13],[2,5,6,7,8,12,14],[2,5,6,8,11,13,14],[2,5,7,9,10,12,14],[3,4,5,7,10,11,12],[3,4,6,7,8,13,14],[3,4,6,9,10,13,14],[3,4,7,8,11,12,14],[3,5,6,8,9,10,12],[3,5,6,9,11,12,13]]; G[553]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 554: autom. group order 2, simple, residual B[554]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,7,9,13,14],[1,4,5,8,10,11,14],[1,4,5,10,12,13,14],[1,4,6,8,9,11,13],[1,5,7,8,9,11,12],[1,6,7,8,10,12,13],[1,6,7,9,10,11,14],[2,3,8,9,10,11,14],[2,4,5,6,10,11,12],[2,4,7,8,9,10,13],[2,4,7,9,11,12,13],[2,5,6,7,8,13,14],[2,5,6,8,11,13,14],[2,5,7,9,10,12,14],[3,4,5,7,10,11,13],[3,4,6,7,8,12,14],[3,4,6,9,10,13,14],[3,4,7,8,11,12,14],[3,5,6,8,9,10,12],[3,5,6,9,11,12,13]]; G[554]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 555: autom. group order 2, simple, residual B[555]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,7,9,13,14],[1,4,5,8,10,11,14],[1,4,5,10,12,13,14],[1,4,6,8,9,11,13],[1,5,7,8,9,11,12],[1,6,7,8,10,12,13],[1,6,7,9,10,11,14],[2,3,8,9,10,11,14],[2,4,5,6,10,11,13],[2,4,7,8,11,12,14],[2,4,7,9,10,13,14],[2,5,6,7,8,13,14],[2,5,6,8,9,10,12],[2,5,7,9,11,12,13],[3,4,5,7,10,11,12],[3,4,6,7,8,12,14],[3,4,6,9,11,12,13],[3,4,7,8,9,10,13],[3,5,6,8,11,13,14],[3,5,6,9,10,12,14]]; G[555]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 556: autom. group order 2, simple, residual B[556]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,7,9,13,14],[1,4,5,8,10,11,14],[1,4,5,10,12,13,14],[1,4,6,8,9,11,13],[1,5,7,8,9,11,12],[1,6,7,8,10,12,13],[1,6,7,9,10,11,14],[2,3,8,9,10,11,14],[2,4,5,6,10,11,13],[2,4,7,8,11,13,14],[2,4,7,9,10,12,14],[2,5,6,7,8,13,14],[2,5,6,8,9,10,12],[2,5,7,9,11,12,13],[3,4,5,7,10,11,12],[3,4,6,7,8,12,14],[3,4,6,9,11,12,13],[3,4,7,8,9,10,13],[3,5,6,8,11,12,14],[3,5,6,9,10,13,14]]; G[556]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 557: autom. group order 2, simple, residual B[557]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,7,9,13,14],[1,4,5,8,10,11,14],[1,4,5,10,12,13,14],[1,4,6,8,9,11,12],[1,5,7,8,9,11,13],[1,6,7,8,10,12,13],[1,6,7,9,10,11,14],[2,3,8,9,10,11,14],[2,4,5,6,10,11,13],[2,4,7,8,11,13,14],[2,4,7,9,11,12,13],[2,5,6,7,8,12,14],[2,5,6,8,9,10,13],[2,5,7,9,10,12,14],[3,4,5,7,10,11,12],[3,4,6,7,8,13,14],[3,4,6,9,10,13,14],[3,4,7,8,9,10,12],[3,5,6,8,11,12,14],[3,5,6,9,11,12,13]]; G[557]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 558: autom. group order 2, simple, residual B[558]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,7,9,13,14],[1,4,5,8,10,11,14],[1,4,5,10,12,13,14],[1,4,6,8,9,11,13],[1,5,7,8,9,11,12],[1,6,7,8,10,12,13],[1,6,7,9,10,11,14],[2,3,8,9,10,11,14],[2,4,5,6,10,11,12],[2,4,7,8,11,13,14],[2,4,7,9,11,12,13],[2,5,6,7,8,13,14],[2,5,6,8,9,10,13],[2,5,7,9,10,12,14],[3,4,5,7,10,11,13],[3,4,6,7,8,12,14],[3,4,6,9,10,13,14],[3,4,7,8,9,10,12],[3,5,6,8,11,12,14],[3,5,6,9,11,12,13]]; G[558]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 559: autom. group order 2, simple, residual B[559]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,7,9,13,14],[1,4,5,8,9,10,11],[1,4,5,10,11,12,13],[1,4,6,8,11,12,14],[1,5,7,8,11,13,14],[1,6,7,8,9,10,14],[1,6,7,9,10,12,13],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,7,8,9,12,13],[2,4,7,8,10,13,14],[2,5,6,7,8,11,12],[2,5,6,9,10,11,13],[2,5,7,9,11,12,14],[3,4,5,7,10,12,14],[3,4,6,7,8,11,13],[3,4,6,9,11,13,14],[3,4,7,9,10,11,12],[3,5,6,8,9,12,13],[3,5,6,8,10,12,14]]; G[559]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 560: autom. group order 2, simple, residual B[560]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,7,9,13,14],[1,4,5,8,9,10,11],[1,4,5,10,11,12,13],[1,4,6,8,11,13,14],[1,5,7,8,11,12,14],[1,6,7,8,9,10,14],[1,6,7,9,10,12,13],[2,3,8,9,10,11,14],[2,4,5,6,10,12,14],[2,4,7,8,9,12,13],[2,4,7,8,10,13,14],[2,5,6,7,8,11,13],[2,5,6,9,10,11,13],[2,5,7,9,11,12,14],[3,4,5,7,10,13,14],[3,4,6,7,8,11,12],[3,4,6,9,11,13,14],[3,4,7,9,10,11,12],[3,5,6,8,9,12,13],[3,5,6,8,10,12,14]]; G[560]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 561: autom. group order 2, simple, residual B[561]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,7,9,13,14],[1,4,5,8,9,10,11],[1,4,5,10,11,12,13],[1,4,6,8,11,12,14],[1,5,7,8,11,13,14],[1,6,7,8,9,10,14],[1,6,7,9,10,12,13],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,7,8,9,12,13],[2,4,7,8,10,13,14],[2,5,6,7,8,11,12],[2,5,6,9,11,13,14],[2,5,7,9,10,11,12],[3,4,5,7,10,12,14],[3,4,6,7,8,11,13],[3,4,6,9,10,11,13],[3,4,7,9,11,12,14],[3,5,6,8,9,12,13],[3,5,6,8,10,12,14]]; G[561]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 562: autom. group order 2, simple, residual B[562]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,7,9,13,14],[1,4,5,8,9,10,11],[1,4,5,10,11,12,13],[1,4,6,8,11,13,14],[1,5,7,8,11,12,14],[1,6,7,8,9,10,14],[1,6,7,9,10,12,13],[2,3,8,9,10,11,14],[2,4,5,6,10,12,14],[2,4,7,8,9,12,13],[2,4,7,8,10,13,14],[2,5,6,7,8,11,13],[2,5,6,9,11,13,14],[2,5,7,9,10,11,12],[3,4,5,7,10,13,14],[3,4,6,7,8,11,12],[3,4,6,9,10,11,13],[3,4,7,9,11,12,14],[3,5,6,8,9,12,13],[3,5,6,8,10,12,14]]; G[562]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 563: autom. group order 2, simple, residual B[563]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,7,9,13,14],[1,4,5,8,10,11,14],[1,4,5,10,12,13,14],[1,4,6,8,9,11,13],[1,5,7,8,9,11,12],[1,6,7,8,10,12,13],[1,6,7,9,10,11,14],[2,3,8,9,10,11,14],[2,4,5,6,10,11,13],[2,4,7,8,9,10,12],[2,4,7,8,11,13,14],[2,5,6,7,8,13,14],[2,5,6,9,10,12,14],[2,5,7,9,11,12,13],[3,4,5,7,10,11,12],[3,4,6,7,8,12,14],[3,4,6,9,11,12,13],[3,4,7,9,10,13,14],[3,5,6,8,9,10,13],[3,5,6,8,11,12,14]]; G[563]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 564: autom. group order 2, simple, residual B[564]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,7,9,13,14],[1,4,5,8,10,11,14],[1,4,5,10,12,13,14],[1,4,6,8,9,11,13],[1,5,7,8,9,11,12],[1,6,7,8,10,12,13],[1,6,7,9,10,11,14],[2,3,8,9,10,11,14],[2,4,5,6,10,11,13],[2,4,7,8,9,10,13],[2,4,7,8,11,12,14],[2,5,6,7,8,13,14],[2,5,6,9,10,12,14],[2,5,7,9,11,12,13],[3,4,5,7,10,11,12],[3,4,6,7,8,12,14],[3,4,6,9,11,12,13],[3,4,7,9,10,13,14],[3,5,6,8,9,10,12],[3,5,6,8,11,13,14]]; G[564]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 565: autom. group order 2, simple, residual B[565]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,7,9,13,14],[1,4,5,8,10,11,14],[1,4,5,10,12,13,14],[1,4,6,8,9,11,13],[1,5,7,8,9,11,12],[1,6,7,8,10,12,13],[1,6,7,9,10,11,14],[2,3,8,9,10,11,14],[2,4,5,6,10,11,13],[2,4,7,8,9,10,12],[2,4,7,8,11,13,14],[2,5,6,7,8,12,14],[2,5,6,9,11,12,13],[2,5,7,9,10,13,14],[3,4,5,7,10,11,12],[3,4,6,7,8,13,14],[3,4,6,9,10,12,14],[3,4,7,9,11,12,13],[3,5,6,8,9,10,13],[3,5,6,8,11,12,14]]; G[565]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 566: autom. group order 2, simple, residual B[566]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,7,9,13,14],[1,4,5,8,10,11,14],[1,4,5,10,12,13,14],[1,4,6,8,9,11,13],[1,5,7,8,9,11,12],[1,6,7,8,10,12,13],[1,6,7,9,10,11,14],[2,3,8,9,10,11,14],[2,4,5,6,10,11,13],[2,4,7,8,9,10,13],[2,4,7,8,11,12,14],[2,5,6,7,8,12,14],[2,5,6,9,11,12,13],[2,5,7,9,10,13,14],[3,4,5,7,10,11,12],[3,4,6,7,8,13,14],[3,4,6,9,10,12,14],[3,4,7,9,11,12,13],[3,5,6,8,9,10,12],[3,5,6,8,11,13,14]]; G[566]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 567: autom. group order 2, simple, residual B[567]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,6,9,10,11,12],[1,5,7,9,10,11,13],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,7,9,10,13,14],[2,4,7,9,11,12,13],[2,5,6,7,8,9,12],[2,5,6,8,10,11,13],[2,5,7,8,11,12,14],[3,4,5,7,10,12,14],[3,4,6,7,8,9,13],[3,4,6,8,11,13,14],[3,4,7,8,10,11,12],[3,5,6,9,10,12,14],[3,5,6,9,11,12,13]]; G[567]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 568: autom. group order 2, simple, residual B[568]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,6,9,10,11,13],[1,5,7,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,12,14],[2,4,7,9,10,13,14],[2,4,7,9,11,12,13],[2,5,6,7,8,9,13],[2,5,6,8,10,11,13],[2,5,7,8,11,12,14],[3,4,5,7,10,13,14],[3,4,6,7,8,9,12],[3,4,6,8,11,13,14],[3,4,7,8,10,11,12],[3,5,6,9,10,12,14],[3,5,6,9,11,12,13]]; G[568]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 569: autom. group order 2, simple, residual B[569]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,6,9,10,11,12],[1,5,7,9,10,11,13],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,7,9,10,13,14],[2,4,7,9,11,12,13],[2,5,6,7,8,9,12],[2,5,6,8,11,13,14],[2,5,7,8,10,11,12],[3,4,5,7,10,12,14],[3,4,6,7,8,9,13],[3,4,6,8,10,11,13],[3,4,7,8,11,12,14],[3,5,6,9,10,12,14],[3,5,6,9,11,12,13]]; G[569]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 570: autom. group order 2, simple, residual B[570]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,6,9,10,11,13],[1,5,7,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,12,14],[2,4,7,9,10,13,14],[2,4,7,9,11,12,13],[2,5,6,7,8,9,13],[2,5,6,8,11,13,14],[2,5,7,8,10,11,12],[3,4,5,7,10,13,14],[3,4,6,7,8,9,12],[3,4,6,8,10,11,13],[3,4,7,8,11,12,14],[3,5,6,9,10,12,14],[3,5,6,9,11,12,13]]; G[570]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 571: autom. group order 2, simple, residual B[571]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,6,9,10,12,14],[1,5,7,9,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,10,13],[2,4,7,9,11,13,14],[2,4,7,10,11,12,13],[2,5,6,7,8,12,14],[2,5,6,8,9,11,13],[2,5,7,8,10,12,14],[3,4,5,7,9,10,12],[3,4,6,7,8,13,14],[3,4,6,8,10,13,14],[3,4,7,8,9,11,12],[3,5,6,9,11,12,14],[3,5,6,10,11,12,13]]; G[571]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 572: autom. group order 2, simple, residual B[572]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,6,9,10,13,14],[1,5,7,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,10,12],[2,4,7,9,11,13,14],[2,4,7,10,11,12,13],[2,5,6,7,8,13,14],[2,5,6,8,9,11,13],[2,5,7,8,10,12,14],[3,4,5,7,9,10,13],[3,4,6,7,8,12,14],[3,4,6,8,10,13,14],[3,4,7,8,9,11,12],[3,5,6,9,11,12,14],[3,5,6,10,11,12,13]]; G[572]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 573: autom. group order 2, simple, residual B[573]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,6,9,10,12,14],[1,5,7,9,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,10,13],[2,4,7,9,11,13,14],[2,4,7,10,11,12,13],[2,5,6,7,8,12,14],[2,5,6,8,10,13,14],[2,5,7,8,9,11,12],[3,4,5,7,9,10,12],[3,4,6,7,8,13,14],[3,4,6,8,9,11,13],[3,4,7,8,10,12,14],[3,5,6,9,11,12,14],[3,5,6,10,11,12,13]]; G[573]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 574: autom. group order 2, simple, residual B[574]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,6,9,10,13,14],[1,5,7,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,10,12],[2,4,7,9,11,13,14],[2,4,7,10,11,12,13],[2,5,6,7,8,13,14],[2,5,6,8,10,13,14],[2,5,7,8,9,11,12],[3,4,5,7,9,10,13],[3,4,6,7,8,12,14],[3,4,6,8,9,11,13],[3,4,7,8,10,12,14],[3,5,6,9,11,12,14],[3,5,6,10,11,12,13]]; G[574]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 575: autom. group order 2, simple, residual B[575]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,6,9,10,11,13],[1,5,7,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,7,8,10,11,12],[2,4,7,9,10,13,14],[2,5,6,7,8,9,12],[2,5,6,9,11,12,13],[2,5,7,8,11,13,14],[3,4,5,7,10,12,14],[3,4,6,7,8,9,13],[3,4,6,8,11,12,14],[3,4,7,9,11,12,13],[3,5,6,8,10,11,13],[3,5,6,9,10,12,14]]; G[575]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 576: autom. group order 2, simple, residual B[576]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,6,9,10,11,13],[1,5,7,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,7,8,10,11,13],[2,4,7,9,10,12,14],[2,5,6,7,8,9,12],[2,5,6,9,11,12,13],[2,5,7,8,11,13,14],[3,4,5,7,10,12,14],[3,4,6,7,8,9,13],[3,4,6,8,11,12,14],[3,4,7,9,11,12,13],[3,5,6,8,10,11,12],[3,5,6,9,10,13,14]]; G[576]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 577: autom. group order 2, simple, residual B[577]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,6,9,10,11,12],[1,5,7,9,10,11,13],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,7,8,10,11,13],[2,4,7,9,11,12,13],[2,5,6,7,8,9,12],[2,5,6,9,10,13,14],[2,5,7,8,11,12,14],[3,4,5,7,10,12,14],[3,4,6,7,8,9,13],[3,4,6,8,11,13,14],[3,4,7,9,10,12,14],[3,5,6,8,10,11,12],[3,5,6,9,11,12,13]]; G[577]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 578: autom. group order 2, simple, residual B[578]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,6,9,10,11,13],[1,5,7,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,12,14],[2,4,7,8,10,11,13],[2,4,7,9,11,12,13],[2,5,6,7,8,9,13],[2,5,6,9,10,13,14],[2,5,7,8,11,12,14],[3,4,5,7,10,13,14],[3,4,6,7,8,9,12],[3,4,6,8,11,13,14],[3,4,7,9,10,12,14],[3,5,6,8,10,11,12],[3,5,6,9,11,12,13]]; G[578]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 579: autom. group order 2, simple, residual B[579]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,6,9,10,11,13],[1,5,7,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,7,8,11,12,14],[2,4,7,9,10,13,14],[2,5,6,7,8,9,12],[2,5,6,9,11,12,13],[2,5,7,8,10,11,13],[3,4,5,7,10,12,14],[3,4,6,7,8,9,13],[3,4,6,8,10,11,12],[3,4,7,9,11,12,13],[3,5,6,8,11,13,14],[3,5,6,9,10,12,14]]; G[579]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 580: autom. group order 2, simple, residual B[580]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,6,9,10,11,13],[1,5,7,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,7,8,11,13,14],[2,4,7,9,10,12,14],[2,5,6,7,8,9,12],[2,5,6,9,11,12,13],[2,5,7,8,10,11,13],[3,4,5,7,10,12,14],[3,4,6,7,8,9,13],[3,4,6,8,10,11,12],[3,4,7,9,11,12,13],[3,5,6,8,11,12,14],[3,5,6,9,10,13,14]]; G[580]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 581: autom. group order 2, simple, residual B[581]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,6,9,10,11,12],[1,5,7,9,10,11,13],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,7,8,11,13,14],[2,4,7,9,11,12,13],[2,5,6,7,8,9,12],[2,5,6,9,10,13,14],[2,5,7,8,10,11,12],[3,4,5,7,10,12,14],[3,4,6,7,8,9,13],[3,4,6,8,10,11,13],[3,4,7,9,10,12,14],[3,5,6,8,11,12,14],[3,5,6,9,11,12,13]]; G[581]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 582: autom. group order 2, simple, residual B[582]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,6,9,10,11,13],[1,5,7,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,12,14],[2,4,7,8,11,13,14],[2,4,7,9,11,12,13],[2,5,6,7,8,9,13],[2,5,6,9,10,13,14],[2,5,7,8,10,11,12],[3,4,5,7,10,13,14],[3,4,6,7,8,9,12],[3,4,6,8,10,11,13],[3,4,7,9,10,12,14],[3,5,6,8,11,12,14],[3,5,6,9,11,12,13]]; G[582]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 583: autom. group order 2, simple, residual B[583]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,6,9,10,13,14],[1,5,7,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,10,13],[2,4,7,8,9,11,12],[2,4,7,9,11,13,14],[2,5,6,7,8,12,14],[2,5,6,10,11,12,13],[2,5,7,8,10,13,14],[3,4,5,7,9,10,12],[3,4,6,7,8,13,14],[3,4,6,8,10,12,14],[3,4,7,10,11,12,13],[3,5,6,8,9,11,13],[3,5,6,9,11,12,14]]; G[583]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 584: autom. group order 2, simple, residual B[584]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,6,9,10,13,14],[1,5,7,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,10,13],[2,4,7,8,9,11,13],[2,4,7,9,11,12,14],[2,5,6,7,8,12,14],[2,5,6,10,11,12,13],[2,5,7,8,10,13,14],[3,4,5,7,9,10,12],[3,4,6,7,8,13,14],[3,4,6,8,10,12,14],[3,4,7,10,11,12,13],[3,5,6,8,9,11,12],[3,5,6,9,11,13,14]]; G[584]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 585: autom. group order 2, simple, residual B[585]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,6,9,10,12,14],[1,5,7,9,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,10,13],[2,4,7,8,9,11,13],[2,4,7,10,11,12,13],[2,5,6,7,8,12,14],[2,5,6,9,11,13,14],[2,5,7,8,10,12,14],[3,4,5,7,9,10,12],[3,4,6,7,8,13,14],[3,4,6,8,10,13,14],[3,4,7,9,11,12,14],[3,5,6,8,9,11,12],[3,5,6,10,11,12,13]]; G[585]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 586: autom. group order 2, simple, residual B[586]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,6,9,10,13,14],[1,5,7,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,10,12],[2,4,7,8,9,11,13],[2,4,7,10,11,12,13],[2,5,6,7,8,13,14],[2,5,6,9,11,13,14],[2,5,7,8,10,12,14],[3,4,5,7,9,10,13],[3,4,6,7,8,12,14],[3,4,6,8,10,13,14],[3,4,7,9,11,12,14],[3,5,6,8,9,11,12],[3,5,6,10,11,12,13]]; G[586]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 587: autom. group order 2, simple, residual B[587]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,6,9,10,13,14],[1,5,7,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,10,13],[2,4,7,8,10,12,14],[2,4,7,9,11,13,14],[2,5,6,7,8,12,14],[2,5,6,10,11,12,13],[2,5,7,8,9,11,13],[3,4,5,7,9,10,12],[3,4,6,7,8,13,14],[3,4,6,8,9,11,12],[3,4,7,10,11,12,13],[3,5,6,8,10,13,14],[3,5,6,9,11,12,14]]; G[587]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 588: autom. group order 2, simple, residual B[588]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,6,9,10,13,14],[1,5,7,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,10,13],[2,4,7,8,10,13,14],[2,4,7,9,11,12,14],[2,5,6,7,8,12,14],[2,5,6,10,11,12,13],[2,5,7,8,9,11,13],[3,4,5,7,9,10,12],[3,4,6,7,8,13,14],[3,4,6,8,9,11,12],[3,4,7,10,11,12,13],[3,5,6,8,10,12,14],[3,5,6,9,11,13,14]]; G[588]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 589: autom. group order 2, simple, residual B[589]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,6,9,10,12,14],[1,5,7,9,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,10,13],[2,4,7,8,10,13,14],[2,4,7,10,11,12,13],[2,5,6,7,8,12,14],[2,5,6,9,11,13,14],[2,5,7,8,9,11,12],[3,4,5,7,9,10,12],[3,4,6,7,8,13,14],[3,4,6,8,9,11,13],[3,4,7,9,11,12,14],[3,5,6,8,10,12,14],[3,5,6,10,11,12,13]]; G[589]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 590: autom. group order 2, simple, residual B[590]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,6,9,10,13,14],[1,5,7,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,10,12],[2,4,7,8,10,13,14],[2,4,7,10,11,12,13],[2,5,6,7,8,13,14],[2,5,6,9,11,13,14],[2,5,7,8,9,11,12],[3,4,5,7,9,10,13],[3,4,6,7,8,12,14],[3,4,6,8,9,11,13],[3,4,7,9,11,12,14],[3,5,6,8,10,12,14],[3,5,6,10,11,12,13]]; G[590]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 591: autom. group order 2, simple, residual B[591]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,6,9,10,11,13],[1,5,7,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,7,8,10,11,12],[2,4,7,9,10,13,14],[2,5,6,7,8,9,13],[2,5,6,8,11,12,14],[2,5,7,9,11,12,13],[3,4,5,7,10,12,14],[3,4,6,7,8,9,12],[3,4,6,9,11,12,13],[3,4,7,8,11,13,14],[3,5,6,8,10,11,13],[3,5,6,9,10,12,14]]; G[591]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 592: autom. group order 2, simple, residual B[592]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,6,9,10,11,13],[1,5,7,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,7,8,10,11,13],[2,4,7,9,10,12,14],[2,5,6,7,8,9,13],[2,5,6,8,11,12,14],[2,5,7,9,11,12,13],[3,4,5,7,10,12,14],[3,4,6,7,8,9,12],[3,4,6,9,11,12,13],[3,4,7,8,11,13,14],[3,5,6,8,10,11,12],[3,5,6,9,10,13,14]]; G[592]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 593: autom. group order 2, simple, residual B[593]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,6,9,10,11,12],[1,5,7,9,10,11,13],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,7,8,10,11,13],[2,4,7,9,11,12,13],[2,5,6,7,8,9,12],[2,5,6,8,11,13,14],[2,5,7,9,10,12,14],[3,4,5,7,10,12,14],[3,4,6,7,8,9,13],[3,4,6,9,10,13,14],[3,4,7,8,11,12,14],[3,5,6,8,10,11,12],[3,5,6,9,11,12,13]]; G[593]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 594: autom. group order 2, simple, residual B[594]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,6,9,10,11,13],[1,5,7,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,12,14],[2,4,7,8,10,11,13],[2,4,7,9,11,12,13],[2,5,6,7,8,9,13],[2,5,6,8,11,13,14],[2,5,7,9,10,12,14],[3,4,5,7,10,13,14],[3,4,6,7,8,9,12],[3,4,6,9,10,13,14],[3,4,7,8,11,12,14],[3,5,6,8,10,11,12],[3,5,6,9,11,12,13]]; G[594]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 595: autom. group order 2, simple, residual B[595]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,6,9,10,11,13],[1,5,7,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,7,8,11,12,14],[2,4,7,9,10,13,14],[2,5,6,7,8,9,13],[2,5,6,8,10,11,12],[2,5,7,9,11,12,13],[3,4,5,7,10,12,14],[3,4,6,7,8,9,12],[3,4,6,9,11,12,13],[3,4,7,8,10,11,13],[3,5,6,8,11,13,14],[3,5,6,9,10,12,14]]; G[595]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 596: autom. group order 2, simple, residual B[596]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,6,9,10,11,13],[1,5,7,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,7,8,11,13,14],[2,4,7,9,10,12,14],[2,5,6,7,8,9,13],[2,5,6,8,10,11,12],[2,5,7,9,11,12,13],[3,4,5,7,10,12,14],[3,4,6,7,8,9,12],[3,4,6,9,11,12,13],[3,4,7,8,10,11,13],[3,5,6,8,11,12,14],[3,5,6,9,10,13,14]]; G[596]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 597: autom. group order 2, simple, residual B[597]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,6,9,10,11,12],[1,5,7,9,10,11,13],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,7,8,11,13,14],[2,4,7,9,11,12,13],[2,5,6,7,8,9,12],[2,5,6,8,10,11,13],[2,5,7,9,10,12,14],[3,4,5,7,10,12,14],[3,4,6,7,8,9,13],[3,4,6,9,10,13,14],[3,4,7,8,10,11,12],[3,5,6,8,11,12,14],[3,5,6,9,11,12,13]]; G[597]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 598: autom. group order 2, simple, residual B[598]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,6,9,10,11,13],[1,5,7,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,12,14],[2,4,7,8,11,13,14],[2,4,7,9,11,12,13],[2,5,6,7,8,9,13],[2,5,6,8,10,11,13],[2,5,7,9,10,12,14],[3,4,5,7,10,13,14],[3,4,6,7,8,9,12],[3,4,6,9,10,13,14],[3,4,7,8,10,11,12],[3,5,6,8,11,12,14],[3,5,6,9,11,12,13]]; G[598]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 599: autom. group order 2, simple, residual B[599]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,6,9,10,13,14],[1,5,7,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,10,13],[2,4,7,8,9,11,12],[2,4,7,9,11,13,14],[2,5,6,7,8,13,14],[2,5,6,8,10,12,14],[2,5,7,10,11,12,13],[3,4,5,7,9,10,12],[3,4,6,7,8,12,14],[3,4,6,10,11,12,13],[3,4,7,8,10,13,14],[3,5,6,8,9,11,13],[3,5,6,9,11,12,14]]; G[599]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 600: autom. group order 2, simple, residual B[600]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,6,9,10,13,14],[1,5,7,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,10,13],[2,4,7,8,9,11,13],[2,4,7,9,11,12,14],[2,5,6,7,8,13,14],[2,5,6,8,10,12,14],[2,5,7,10,11,12,13],[3,4,5,7,9,10,12],[3,4,6,7,8,12,14],[3,4,6,10,11,12,13],[3,4,7,8,10,13,14],[3,5,6,8,9,11,12],[3,5,6,9,11,13,14]]; G[600]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 601: autom. group order 2, simple, residual B[601]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,6,9,10,12,14],[1,5,7,9,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,10,13],[2,4,7,8,9,11,13],[2,4,7,10,11,12,13],[2,5,6,7,8,12,14],[2,5,6,8,10,13,14],[2,5,7,9,11,12,14],[3,4,5,7,9,10,12],[3,4,6,7,8,13,14],[3,4,6,9,11,13,14],[3,4,7,8,10,12,14],[3,5,6,8,9,11,12],[3,5,6,10,11,12,13]]; G[601]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 602: autom. group order 2, simple, residual B[602]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,6,9,10,13,14],[1,5,7,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,10,12],[2,4,7,8,9,11,13],[2,4,7,10,11,12,13],[2,5,6,7,8,13,14],[2,5,6,8,10,13,14],[2,5,7,9,11,12,14],[3,4,5,7,9,10,13],[3,4,6,7,8,12,14],[3,4,6,9,11,13,14],[3,4,7,8,10,12,14],[3,5,6,8,9,11,12],[3,5,6,10,11,12,13]]; G[602]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 603: autom. group order 2, simple, residual B[603]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,6,9,10,13,14],[1,5,7,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,10,13],[2,4,7,8,10,12,14],[2,4,7,9,11,13,14],[2,5,6,7,8,13,14],[2,5,6,8,9,11,12],[2,5,7,10,11,12,13],[3,4,5,7,9,10,12],[3,4,6,7,8,12,14],[3,4,6,10,11,12,13],[3,4,7,8,9,11,13],[3,5,6,8,10,13,14],[3,5,6,9,11,12,14]]; G[603]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 604: autom. group order 2, simple, residual B[604]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,6,9,10,13,14],[1,5,7,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,10,13],[2,4,7,8,10,13,14],[2,4,7,9,11,12,14],[2,5,6,7,8,13,14],[2,5,6,8,9,11,12],[2,5,7,10,11,12,13],[3,4,5,7,9,10,12],[3,4,6,7,8,12,14],[3,4,6,10,11,12,13],[3,4,7,8,9,11,13],[3,5,6,8,10,12,14],[3,5,6,9,11,13,14]]; G[604]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 605: autom. group order 2, simple, residual B[605]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,6,9,10,12,14],[1,5,7,9,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,10,13],[2,4,7,8,10,13,14],[2,4,7,10,11,12,13],[2,5,6,7,8,12,14],[2,5,6,8,9,11,13],[2,5,7,9,11,12,14],[3,4,5,7,9,10,12],[3,4,6,7,8,13,14],[3,4,6,9,11,13,14],[3,4,7,8,9,11,12],[3,5,6,8,10,12,14],[3,5,6,10,11,12,13]]; G[605]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 606: autom. group order 2, simple, residual B[606]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,6,9,10,13,14],[1,5,7,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,10,12],[2,4,7,8,10,13,14],[2,4,7,10,11,12,13],[2,5,6,7,8,13,14],[2,5,6,8,9,11,13],[2,5,7,9,11,12,14],[3,4,5,7,9,10,13],[3,4,6,7,8,12,14],[3,4,6,9,11,13,14],[3,4,7,8,9,11,12],[3,5,6,8,10,12,14],[3,5,6,10,11,12,13]]; G[606]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 607: autom. group order 2, simple, residual B[607]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,6,9,10,11,13],[1,5,7,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,7,8,10,11,12],[2,4,7,8,11,13,14],[2,5,6,7,8,9,13],[2,5,6,9,10,12,14],[2,5,7,9,11,12,13],[3,4,5,7,10,12,14],[3,4,6,7,8,9,12],[3,4,6,9,11,12,13],[3,4,7,9,10,13,14],[3,5,6,8,10,11,13],[3,5,6,8,11,12,14]]; G[607]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 608: autom. group order 2, simple, residual B[608]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,6,9,10,11,13],[1,5,7,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,7,8,10,11,13],[2,4,7,8,11,12,14],[2,5,6,7,8,9,13],[2,5,6,9,10,12,14],[2,5,7,9,11,12,13],[3,4,5,7,10,12,14],[3,4,6,7,8,9,12],[3,4,6,9,11,12,13],[3,4,7,9,10,13,14],[3,5,6,8,10,11,12],[3,5,6,8,11,13,14]]; G[608]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 609: autom. group order 2, simple, residual B[609]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,6,9,10,11,13],[1,5,7,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,7,8,10,11,12],[2,4,7,8,11,13,14],[2,5,6,7,8,9,12],[2,5,6,9,11,12,13],[2,5,7,9,10,13,14],[3,4,5,7,10,12,14],[3,4,6,7,8,9,13],[3,4,6,9,10,12,14],[3,4,7,9,11,12,13],[3,5,6,8,10,11,13],[3,5,6,8,11,12,14]]; G[609]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 610: autom. group order 2, simple, residual B[610]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,6,9,10,11,13],[1,5,7,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,7,8,10,11,13],[2,4,7,8,11,12,14],[2,5,6,7,8,9,12],[2,5,6,9,11,12,13],[2,5,7,9,10,13,14],[3,4,5,7,10,12,14],[3,4,6,7,8,9,13],[3,4,6,9,10,12,14],[3,4,7,9,11,12,13],[3,5,6,8,10,11,12],[3,5,6,8,11,13,14]]; G[610]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 611: autom. group order 2, simple, residual B[611]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,6,9,10,13,14],[1,5,7,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,10,13],[2,4,7,8,9,11,12],[2,4,7,8,10,13,14],[2,5,6,7,8,13,14],[2,5,6,9,11,12,14],[2,5,7,10,11,12,13],[3,4,5,7,9,10,12],[3,4,6,7,8,12,14],[3,4,6,10,11,12,13],[3,4,7,9,11,13,14],[3,5,6,8,9,11,13],[3,5,6,8,10,12,14]]; G[611]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 612: autom. group order 2, simple, residual B[612]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,6,9,10,13,14],[1,5,7,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,10,13],[2,4,7,8,9,11,13],[2,4,7,8,10,12,14],[2,5,6,7,8,13,14],[2,5,6,9,11,12,14],[2,5,7,10,11,12,13],[3,4,5,7,9,10,12],[3,4,6,7,8,12,14],[3,4,6,10,11,12,13],[3,4,7,9,11,13,14],[3,5,6,8,9,11,12],[3,5,6,8,10,13,14]]; G[612]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 613: autom. group order 2, simple, residual B[613]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,6,9,10,13,14],[1,5,7,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,10,13],[2,4,7,8,9,11,12],[2,4,7,8,10,13,14],[2,5,6,7,8,12,14],[2,5,6,10,11,12,13],[2,5,7,9,11,13,14],[3,4,5,7,9,10,12],[3,4,6,7,8,13,14],[3,4,6,9,11,12,14],[3,4,7,10,11,12,13],[3,5,6,8,9,11,13],[3,5,6,8,10,12,14]]; G[613]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 614: autom. group order 2, simple, residual B[614]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,6,9,10,13,14],[1,5,7,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,10,13],[2,4,7,8,9,11,13],[2,4,7,8,10,12,14],[2,5,6,7,8,12,14],[2,5,6,10,11,12,13],[2,5,7,9,11,13,14],[3,4,5,7,9,10,12],[3,4,6,7,8,13,14],[3,4,6,9,11,12,14],[3,4,7,10,11,12,13],[3,5,6,8,9,11,12],[3,5,6,8,10,13,14]]; G[614]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 615: autom. group order 2, simple B[615]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,6,8,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,11,14],[2,4,7,9,10,12,13],[2,5,6,7,9,12,14],[2,5,6,8,10,11,13],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,11,13],[3,4,6,8,11,12,14],[3,4,7,8,10,12,14],[3,5,6,8,9,12,13],[3,5,6,9,10,11,14]]; G[615]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 616: autom. group order 2, simple B[616]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,6,8,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,12,13],[2,4,7,9,10,11,14],[2,5,6,7,9,12,14],[2,5,6,8,10,11,13],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,11,13],[3,4,6,8,11,12,14],[3,4,7,8,10,12,14],[3,5,6,8,9,11,14],[3,5,6,9,10,12,13]]; G[616]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 617: autom. group order 2, simple B[617]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,6,8,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,11,14],[2,4,7,9,10,12,13],[2,5,6,7,9,12,14],[2,5,6,8,10,11,13],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,11,13],[3,4,6,8,11,12,14],[3,4,7,8,10,12,14],[3,5,6,8,9,12,13],[3,5,6,9,10,11,14]]; G[617]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 618: autom. group order 2, simple B[618]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,6,8,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,12,13],[2,4,7,9,10,11,14],[2,5,6,7,9,12,14],[2,5,6,8,10,11,13],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,11,13],[3,4,6,8,11,12,14],[3,4,7,8,10,12,14],[3,5,6,8,9,11,14],[3,5,6,9,10,12,13]]; G[618]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 619: autom. group order 2, simple B[619]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,6,8,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,11,13],[2,4,7,9,10,12,14],[2,5,6,7,9,11,14],[2,5,6,8,11,12,13],[2,5,7,8,10,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,10,11,14],[3,4,7,8,11,12,14],[3,5,6,8,9,12,14],[3,5,6,9,10,11,13]]; G[619]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 620: autom. group order 2, simple B[620]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,6,8,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,12,14],[2,4,7,9,10,11,13],[2,5,6,7,9,11,14],[2,5,6,8,11,12,13],[2,5,7,8,10,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,10,11,14],[3,4,7,8,11,12,14],[3,5,6,8,9,11,13],[3,5,6,9,10,12,14]]; G[620]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 621: autom. group order 2, simple B[621]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,6,8,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,11,13],[2,4,7,9,10,12,14],[2,5,6,7,9,11,14],[2,5,6,8,11,12,13],[2,5,7,8,10,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,10,11,14],[3,4,7,8,11,12,14],[3,5,6,8,9,12,14],[3,5,6,9,10,11,13]]; G[621]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 622: autom. group order 2, simple B[622]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,6,8,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,12,14],[2,4,7,9,10,11,13],[2,5,6,7,9,11,14],[2,5,6,8,11,12,13],[2,5,7,8,10,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,10,11,14],[3,4,7,8,11,12,14],[3,5,6,8,9,11,13],[3,5,6,9,10,12,14]]; G[622]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 623: autom. group order 2, simple B[623]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,6,8,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,10,11,14],[2,4,7,9,10,12,13],[2,5,6,7,9,12,14],[2,5,6,8,9,11,13],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,11,13],[3,4,6,8,11,12,14],[3,4,7,8,9,12,14],[3,5,6,8,10,12,13],[3,5,6,9,10,11,14]]; G[623]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 624: autom. group order 2, simple B[624]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,6,8,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,10,12,13],[2,4,7,9,10,11,14],[2,5,6,7,9,12,14],[2,5,6,8,9,11,13],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,11,13],[3,4,6,8,11,12,14],[3,4,7,8,9,12,14],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13]]; G[624]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 625: autom. group order 2, simple B[625]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,6,8,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,10,11,14],[2,4,7,9,10,12,13],[2,5,6,7,9,12,14],[2,5,6,8,9,11,13],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,11,13],[3,4,6,8,11,12,14],[3,4,7,8,9,12,14],[3,5,6,8,10,12,13],[3,5,6,9,10,11,14]]; G[625]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 626: autom. group order 2, simple B[626]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,6,8,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,10,12,13],[2,4,7,9,10,11,14],[2,5,6,7,9,12,14],[2,5,6,8,9,11,13],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,11,13],[3,4,6,8,11,12,14],[3,4,7,8,9,12,14],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13]]; G[626]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 627: autom. group order 2, simple B[627]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,6,8,10,11,13],[1,5,7,8,10,12,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,11,12,14],[2,4,7,9,10,12,13],[2,5,6,7,9,11,14],[2,5,6,8,9,12,13],[2,5,7,8,10,11,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,10,12,14],[3,4,7,8,9,11,14],[3,5,6,8,11,12,13],[3,5,6,9,10,11,14]]; G[627]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 628: autom. group order 2, simple B[628]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,6,8,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,7,8,11,12,13],[2,4,7,9,10,12,14],[2,5,6,7,9,12,14],[2,5,6,8,9,12,13],[2,5,7,8,10,11,13],[3,4,5,7,10,12,13],[3,4,6,7,9,11,13],[3,4,6,8,10,12,14],[3,4,7,8,9,11,14],[3,5,6,8,11,12,14],[3,5,6,9,10,11,13]]; G[628]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 629: autom. group order 2, simple B[629]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,6,8,10,11,13],[1,5,7,8,10,12,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,11,12,14],[2,4,7,9,10,12,13],[2,5,6,7,9,11,14],[2,5,6,8,9,12,13],[2,5,7,8,10,11,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,10,12,14],[3,4,7,8,9,11,14],[3,5,6,8,11,12,13],[3,5,6,9,10,11,14]]; G[629]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 630: autom. group order 2, simple B[630]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,6,8,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,7,8,11,12,13],[2,4,7,9,10,12,14],[2,5,6,7,9,12,14],[2,5,6,8,9,12,13],[2,5,7,8,10,11,13],[3,4,5,7,10,12,13],[3,4,6,7,9,11,13],[3,4,6,8,10,12,14],[3,4,7,8,9,11,14],[3,5,6,8,11,12,14],[3,5,6,9,10,11,13]]; G[630]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 631: autom. group order 2, simple B[631]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,6,8,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,10,11,13],[2,4,7,9,10,12,14],[2,5,6,7,9,11,14],[2,5,6,8,11,12,13],[2,5,7,8,9,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,9,11,14],[3,4,7,8,11,12,14],[3,5,6,8,10,12,14],[3,5,6,9,10,11,13]]; G[631]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 632: autom. group order 2, simple B[632]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,6,8,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,10,12,14],[2,4,7,9,10,11,13],[2,5,6,7,9,11,14],[2,5,6,8,11,12,13],[2,5,7,8,9,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,9,11,14],[3,4,7,8,11,12,14],[3,5,6,8,10,11,13],[3,5,6,9,10,12,14]]; G[632]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 633: autom. group order 2, simple B[633]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,6,8,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,10,11,13],[2,4,7,9,10,12,14],[2,5,6,7,9,11,14],[2,5,6,8,11,12,13],[2,5,7,8,9,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,9,11,14],[3,4,7,8,11,12,14],[3,5,6,8,10,12,14],[3,5,6,9,10,11,13]]; G[633]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 634: autom. group order 2, simple B[634]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,6,8,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,10,12,14],[2,4,7,9,10,11,13],[2,5,6,7,9,11,14],[2,5,6,8,11,12,13],[2,5,7,8,9,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,9,11,14],[3,4,7,8,11,12,14],[3,5,6,8,10,11,13],[3,5,6,9,10,12,14]]; G[634]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 635: autom. group order 2, simple B[635]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,6,8,10,11,13],[1,5,7,8,10,12,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,11,12,14],[2,4,7,9,10,12,13],[2,5,6,7,9,11,14],[2,5,6,8,10,12,13],[2,5,7,8,9,11,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,9,12,14],[3,4,7,8,10,11,14],[3,5,6,8,11,12,13],[3,5,6,9,10,11,14]]; G[635]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 636: autom. group order 2, simple B[636]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,6,8,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,7,8,11,12,13],[2,4,7,9,10,12,14],[2,5,6,7,9,12,14],[2,5,6,8,10,12,13],[2,5,7,8,9,11,13],[3,4,5,7,10,12,13],[3,4,6,7,9,11,13],[3,4,6,8,9,12,14],[3,4,7,8,10,11,14],[3,5,6,8,11,12,14],[3,5,6,9,10,11,13]]; G[636]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 637: autom. group order 2, simple B[637]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,6,8,10,11,13],[1,5,7,8,10,12,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,11,12,14],[2,4,7,9,10,12,13],[2,5,6,7,9,11,14],[2,5,6,8,10,12,13],[2,5,7,8,9,11,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,9,12,14],[3,4,7,8,10,11,14],[3,5,6,8,11,12,13],[3,5,6,9,10,11,14]]; G[637]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 638: autom. group order 2, simple B[638]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,6,8,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,7,8,11,12,13],[2,4,7,9,10,12,14],[2,5,6,7,9,12,14],[2,5,6,8,10,12,13],[2,5,7,8,9,11,13],[3,4,5,7,10,12,13],[3,4,6,7,9,11,13],[3,4,6,8,9,12,14],[3,4,7,8,10,11,14],[3,5,6,8,11,12,14],[3,5,6,9,10,11,13]]; G[638]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 639: autom. group order 2, simple B[639]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,9,10,13,14],[1,4,6,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,8,10,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,11,14],[2,4,7,9,10,12,13],[2,5,6,7,9,12,14],[2,5,6,8,10,11,13],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,11,13],[3,4,6,8,11,12,14],[3,4,7,8,10,12,14],[3,5,6,8,9,12,13],[3,5,6,9,10,11,14]]; G[639]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 640: autom. group order 2, simple B[640]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,9,10,13,14],[1,4,6,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,8,10,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,12,13],[2,4,7,9,10,11,14],[2,5,6,7,9,12,14],[2,5,6,8,10,11,13],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,11,13],[3,4,6,8,11,12,14],[3,4,7,8,10,12,14],[3,5,6,8,9,11,14],[3,5,6,9,10,12,13]]; G[640]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 641: autom. group order 2, simple B[641]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,13,14],[1,4,5,9,10,11,12],[1,4,6,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,8,10,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,11,14],[2,4,7,9,10,12,13],[2,5,6,7,9,12,14],[2,5,6,8,10,11,13],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,11,13],[3,4,6,8,11,12,14],[3,4,7,8,10,12,14],[3,5,6,8,9,12,13],[3,5,6,9,10,11,14]]; G[641]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 642: autom. group order 2, simple B[642]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,13,14],[1,4,5,9,10,11,12],[1,4,6,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,8,10,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,12,13],[2,4,7,9,10,11,14],[2,5,6,7,9,12,14],[2,5,6,8,10,11,13],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,11,13],[3,4,6,8,11,12,14],[3,4,7,8,10,12,14],[3,5,6,8,9,11,14],[3,5,6,9,10,12,13]]; G[642]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 643: autom. group order 2, simple B[643]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,9,10,13,14],[1,4,6,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,8,10,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,11,13],[2,4,7,9,10,12,14],[2,5,6,7,9,11,14],[2,5,6,8,11,12,13],[2,5,7,8,10,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,10,11,14],[3,4,7,8,11,12,14],[3,5,6,8,9,12,14],[3,5,6,9,10,11,13]]; G[643]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 644: autom. group order 2, simple B[644]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,9,10,13,14],[1,4,6,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,8,10,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,12,14],[2,4,7,9,10,11,13],[2,5,6,7,9,11,14],[2,5,6,8,11,12,13],[2,5,7,8,10,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,10,11,14],[3,4,7,8,11,12,14],[3,5,6,8,9,11,13],[3,5,6,9,10,12,14]]; G[644]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 645: autom. group order 2, simple B[645]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,13,14],[1,4,5,9,10,11,12],[1,4,6,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,8,10,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,11,13],[2,4,7,9,10,12,14],[2,5,6,7,9,11,14],[2,5,6,8,11,12,13],[2,5,7,8,10,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,10,11,14],[3,4,7,8,11,12,14],[3,5,6,8,9,12,14],[3,5,6,9,10,11,13]]; G[645]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 646: autom. group order 2, simple B[646]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,13,14],[1,4,5,9,10,11,12],[1,4,6,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,8,10,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,12,14],[2,4,7,9,10,11,13],[2,5,6,7,9,11,14],[2,5,6,8,11,12,13],[2,5,7,8,10,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,10,11,14],[3,4,7,8,11,12,14],[3,5,6,8,9,11,13],[3,5,6,9,10,12,14]]; G[646]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 647: autom. group order 2, simple B[647]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,9,10,13,14],[1,4,6,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,8,10,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,10,11,14],[2,4,7,9,10,12,13],[2,5,6,7,9,12,14],[2,5,6,8,9,11,13],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,11,13],[3,4,6,8,11,12,14],[3,4,7,8,9,12,14],[3,5,6,8,10,12,13],[3,5,6,9,10,11,14]]; G[647]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 648: autom. group order 2, simple B[648]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,9,10,13,14],[1,4,6,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,8,10,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,10,12,13],[2,4,7,9,10,11,14],[2,5,6,7,9,12,14],[2,5,6,8,9,11,13],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,11,13],[3,4,6,8,11,12,14],[3,4,7,8,9,12,14],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13]]; G[648]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 649: autom. group order 2, simple B[649]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,13,14],[1,4,5,9,10,11,12],[1,4,6,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,8,10,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,10,11,14],[2,4,7,9,10,12,13],[2,5,6,7,9,12,14],[2,5,6,8,9,11,13],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,11,13],[3,4,6,8,11,12,14],[3,4,7,8,9,12,14],[3,5,6,8,10,12,13],[3,5,6,9,10,11,14]]; G[649]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 650: autom. group order 2, simple B[650]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,13,14],[1,4,5,9,10,11,12],[1,4,6,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,8,10,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,10,12,13],[2,4,7,9,10,11,14],[2,5,6,7,9,12,14],[2,5,6,8,9,11,13],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,11,13],[3,4,6,8,11,12,14],[3,4,7,8,9,12,14],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13]]; G[650]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 651: autom. group order 2, simple B[651]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,9,10,13,14],[1,4,6,8,9,11,13],[1,5,7,8,9,12,14],[1,6,7,8,10,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,11,12,14],[2,4,7,9,10,12,13],[2,5,6,7,9,11,14],[2,5,6,8,9,12,13],[2,5,7,8,10,11,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,10,12,14],[3,4,7,8,9,11,14],[3,5,6,8,11,12,13],[3,5,6,9,10,11,14]]; G[651]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 652: autom. group order 2, simple B[652]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,9,10,13,14],[1,4,6,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,8,10,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,7,8,11,12,13],[2,4,7,9,10,12,14],[2,5,6,7,9,12,14],[2,5,6,8,9,12,13],[2,5,7,8,10,11,13],[3,4,5,7,10,12,13],[3,4,6,7,9,11,13],[3,4,6,8,10,12,14],[3,4,7,8,9,11,14],[3,5,6,8,11,12,14],[3,5,6,9,10,11,13]]; G[652]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 653: autom. group order 2, simple B[653]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,13,14],[1,4,5,9,10,11,12],[1,4,6,8,9,11,13],[1,5,7,8,9,12,14],[1,6,7,8,10,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,11,12,14],[2,4,7,9,10,12,13],[2,5,6,7,9,11,14],[2,5,6,8,9,12,13],[2,5,7,8,10,11,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,10,12,14],[3,4,7,8,9,11,14],[3,5,6,8,11,12,13],[3,5,6,9,10,11,14]]; G[653]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 654: autom. group order 2, simple B[654]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,13,14],[1,4,5,9,10,11,12],[1,4,6,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,8,10,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,7,8,11,12,13],[2,4,7,9,10,12,14],[2,5,6,7,9,12,14],[2,5,6,8,9,12,13],[2,5,7,8,10,11,13],[3,4,5,7,10,12,13],[3,4,6,7,9,11,13],[3,4,6,8,10,12,14],[3,4,7,8,9,11,14],[3,5,6,8,11,12,14],[3,5,6,9,10,11,13]]; G[654]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 655: autom. group order 2, simple B[655]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,9,10,13,14],[1,4,6,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,8,10,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,10,11,13],[2,4,7,9,10,12,14],[2,5,6,7,9,11,14],[2,5,6,8,11,12,13],[2,5,7,8,9,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,9,11,14],[3,4,7,8,11,12,14],[3,5,6,8,10,12,14],[3,5,6,9,10,11,13]]; G[655]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 656: autom. group order 2, simple B[656]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,9,10,13,14],[1,4,6,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,8,10,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,10,12,14],[2,4,7,9,10,11,13],[2,5,6,7,9,11,14],[2,5,6,8,11,12,13],[2,5,7,8,9,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,9,11,14],[3,4,7,8,11,12,14],[3,5,6,8,10,11,13],[3,5,6,9,10,12,14]]; G[656]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 657: autom. group order 2, simple B[657]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,13,14],[1,4,5,9,10,11,12],[1,4,6,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,8,10,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,10,11,13],[2,4,7,9,10,12,14],[2,5,6,7,9,11,14],[2,5,6,8,11,12,13],[2,5,7,8,9,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,9,11,14],[3,4,7,8,11,12,14],[3,5,6,8,10,12,14],[3,5,6,9,10,11,13]]; G[657]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 658: autom. group order 2, simple B[658]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,13,14],[1,4,5,9,10,11,12],[1,4,6,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,8,10,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,10,12,14],[2,4,7,9,10,11,13],[2,5,6,7,9,11,14],[2,5,6,8,11,12,13],[2,5,7,8,9,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,9,11,14],[3,4,7,8,11,12,14],[3,5,6,8,10,11,13],[3,5,6,9,10,12,14]]; G[658]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 659: autom. group order 2, simple B[659]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,9,10,13,14],[1,4,6,8,9,11,13],[1,5,7,8,9,12,14],[1,6,7,8,10,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,11,12,14],[2,4,7,9,10,12,13],[2,5,6,7,9,11,14],[2,5,6,8,10,12,13],[2,5,7,8,9,11,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,9,12,14],[3,4,7,8,10,11,14],[3,5,6,8,11,12,13],[3,5,6,9,10,11,14]]; G[659]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 660: autom. group order 2, simple B[660]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,9,10,13,14],[1,4,6,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,8,10,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,7,8,11,12,13],[2,4,7,9,10,12,14],[2,5,6,7,9,12,14],[2,5,6,8,10,12,13],[2,5,7,8,9,11,13],[3,4,5,7,10,12,13],[3,4,6,7,9,11,13],[3,4,6,8,9,12,14],[3,4,7,8,10,11,14],[3,5,6,8,11,12,14],[3,5,6,9,10,11,13]]; G[660]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 661: autom. group order 2, simple B[661]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,13,14],[1,4,5,9,10,11,12],[1,4,6,8,9,11,13],[1,5,7,8,9,12,14],[1,6,7,8,10,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,11,12,14],[2,4,7,9,10,12,13],[2,5,6,7,9,11,14],[2,5,6,8,10,12,13],[2,5,7,8,9,11,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,9,12,14],[3,4,7,8,10,11,14],[3,5,6,8,11,12,13],[3,5,6,9,10,11,14]]; G[661]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 662: autom. group order 2, simple B[662]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,6,8,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,11,14],[2,4,7,8,10,12,13],[2,5,6,7,9,12,14],[2,5,6,9,10,11,13],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,11,13],[3,4,6,8,11,12,14],[3,4,7,9,10,12,14],[3,5,6,8,9,12,13],[3,5,6,8,10,11,14]]; G[662]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 663: autom. group order 2, simple B[663]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,6,8,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,12,14],[2,5,6,9,10,11,13],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,11,13],[3,4,6,8,11,12,14],[3,4,7,9,10,12,14],[3,5,6,8,9,11,14],[3,5,6,8,10,12,13]]; G[663]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 664: autom. group order 2, simple B[664]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,6,8,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,11,14],[2,4,7,8,10,12,13],[2,5,6,7,9,12,14],[2,5,6,9,10,11,13],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,11,13],[3,4,6,8,11,12,14],[3,4,7,9,10,12,14],[3,5,6,8,9,12,13],[3,5,6,8,10,11,14]]; G[664]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 665: autom. group order 2, simple B[665]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,6,8,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,12,14],[2,5,6,9,10,11,13],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,11,13],[3,4,6,8,11,12,14],[3,4,7,9,10,12,14],[3,5,6,8,9,11,14],[3,5,6,8,10,12,13]]; G[665]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 666: autom. group order 2, simple B[666]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,6,8,10,11,13],[1,5,7,8,10,12,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,11,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,10,12,14],[3,4,7,9,10,11,14],[3,5,6,8,9,11,14],[3,5,6,8,11,12,13]]; G[666]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 667: autom. group order 2, simple B[667]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,6,8,10,11,13],[1,5,7,8,10,12,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,11,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,10,12,14],[3,4,7,9,10,11,14],[3,5,6,8,9,11,14],[3,5,6,8,11,12,13]]; G[667]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 668: autom. group order 2, simple B[668]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,6,8,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,7,8,9,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,13],[3,4,5,7,10,12,13],[3,4,6,7,9,11,13],[3,4,6,8,10,12,14],[3,4,7,9,10,11,14],[3,5,6,8,9,11,13],[3,5,6,8,11,12,14]]; G[668]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 669: autom. group order 2, simple B[669]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,6,8,10,11,13],[1,5,7,8,10,12,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,10,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,11,14],[2,5,6,9,10,12,13],[2,5,7,8,9,11,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,9,12,14],[3,4,7,9,10,11,14],[3,5,6,8,10,11,14],[3,5,6,8,11,12,13]]; G[669]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 670: autom. group order 2, simple B[670]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,6,8,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,7,8,10,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,9,11,13],[3,4,5,7,10,12,13],[3,4,6,7,9,11,13],[3,4,6,8,9,12,14],[3,4,7,9,10,11,14],[3,5,6,8,10,11,13],[3,5,6,8,11,12,14]]; G[670]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 671: autom. group order 2, simple B[671]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,6,8,10,11,13],[1,5,7,8,10,12,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,10,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,11,14],[2,5,6,9,10,12,13],[2,5,7,8,9,11,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,9,12,14],[3,4,7,9,10,11,14],[3,5,6,8,10,11,14],[3,5,6,8,11,12,13]]; G[671]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 672: autom. group order 2, simple B[672]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,6,8,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,7,8,10,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,9,11,13],[3,4,5,7,10,12,13],[3,4,6,7,9,11,13],[3,4,6,8,9,12,14],[3,4,7,9,10,11,14],[3,5,6,8,10,11,13],[3,5,6,8,11,12,14]]; G[672]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 673: autom. group order 2, simple B[673]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,9,10,13,14],[1,4,6,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,8,10,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,11,14],[2,4,7,8,10,12,13],[2,5,6,7,9,12,14],[2,5,6,9,10,11,13],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,11,13],[3,4,6,8,11,12,14],[3,4,7,9,10,12,14],[3,5,6,8,9,12,13],[3,5,6,8,10,11,14]]; G[673]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 674: autom. group order 2, simple B[674]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,9,10,13,14],[1,4,6,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,8,10,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,12,14],[2,5,6,9,10,11,13],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,11,13],[3,4,6,8,11,12,14],[3,4,7,9,10,12,14],[3,5,6,8,9,11,14],[3,5,6,8,10,12,13]]; G[674]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 675: autom. group order 2, simple B[675]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,13,14],[1,4,5,9,10,11,12],[1,4,6,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,8,10,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,11,14],[2,4,7,8,10,12,13],[2,5,6,7,9,12,14],[2,5,6,9,10,11,13],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,11,13],[3,4,6,8,11,12,14],[3,4,7,9,10,12,14],[3,5,6,8,9,12,13],[3,5,6,8,10,11,14]]; G[675]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 676: autom. group order 2, simple B[676]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,13,14],[1,4,5,9,10,11,12],[1,4,6,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,8,10,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,12,14],[2,5,6,9,10,11,13],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,11,13],[3,4,6,8,11,12,14],[3,4,7,9,10,12,14],[3,5,6,8,9,11,14],[3,5,6,8,10,12,13]]; G[676]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 677: autom. group order 2, simple B[677]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,9,10,13,14],[1,4,6,8,9,11,13],[1,5,7,8,9,12,14],[1,6,7,8,10,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,11,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,10,12,14],[3,4,7,9,10,11,14],[3,5,6,8,9,11,14],[3,5,6,8,11,12,13]]; G[677]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 678: autom. group order 2, simple B[678]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,9,10,13,14],[1,4,6,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,8,10,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,7,8,9,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,13],[3,4,5,7,10,12,13],[3,4,6,7,9,11,13],[3,4,6,8,10,12,14],[3,4,7,9,10,11,14],[3,5,6,8,9,11,13],[3,5,6,8,11,12,14]]; G[678]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 679: autom. group order 2, simple B[679]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,13,14],[1,4,5,9,10,11,12],[1,4,6,8,9,11,13],[1,5,7,8,9,12,14],[1,6,7,8,10,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,11,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,10,12,14],[3,4,7,9,10,11,14],[3,5,6,8,9,11,14],[3,5,6,8,11,12,13]]; G[679]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 680: autom. group order 2, simple B[680]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,13,14],[1,4,5,9,10,11,12],[1,4,6,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,8,10,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,7,8,9,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,13],[3,4,5,7,10,12,13],[3,4,6,7,9,11,13],[3,4,6,8,10,12,14],[3,4,7,9,10,11,14],[3,5,6,8,9,11,13],[3,5,6,8,11,12,14]]; G[680]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 681: autom. group order 2, simple B[681]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,9,10,13,14],[1,4,6,8,9,11,13],[1,5,7,8,9,12,14],[1,6,7,8,10,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,10,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,11,14],[2,5,6,9,10,12,13],[2,5,7,8,9,11,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,9,12,14],[3,4,7,9,10,11,14],[3,5,6,8,10,11,14],[3,5,6,8,11,12,13]]; G[681]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 682: autom. group order 2, simple B[682]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,9,10,13,14],[1,4,6,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,8,10,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,7,8,10,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,9,11,13],[3,4,5,7,10,12,13],[3,4,6,7,9,11,13],[3,4,6,8,9,12,14],[3,4,7,9,10,11,14],[3,5,6,8,10,11,13],[3,5,6,8,11,12,14]]; G[682]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 683: autom. group order 2, simple B[683]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,13,14],[1,4,5,9,10,11,12],[1,4,6,8,9,11,13],[1,5,7,8,9,12,14],[1,6,7,8,10,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,10,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,11,14],[2,5,6,9,10,12,13],[2,5,7,8,9,11,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,9,12,14],[3,4,7,9,10,11,14],[3,5,6,8,10,11,14],[3,5,6,8,11,12,13]]; G[683]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 684: autom. group order 2, simple B[684]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,13,14],[1,4,5,9,10,11,12],[1,4,6,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,8,10,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,7,8,10,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,9,11,13],[3,4,5,7,10,12,13],[3,4,6,7,9,11,13],[3,4,6,8,9,12,14],[3,4,7,9,10,11,14],[3,5,6,8,10,11,13],[3,5,6,8,11,12,14]]; G[684]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 685: autom. group order 2, simple B[685]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,6,8,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,11,13],[2,4,7,8,10,12,14],[2,5,6,7,9,11,14],[2,5,6,8,11,12,13],[2,5,7,9,10,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,9,10,11,14],[3,4,7,8,11,12,14],[3,5,6,8,9,12,14],[3,5,6,8,10,11,13]]; G[685]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 686: autom. group order 2, simple B[686]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,6,8,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,12,14],[2,4,7,8,10,11,13],[2,5,6,7,9,11,14],[2,5,6,8,11,12,13],[2,5,7,9,10,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,9,10,11,14],[3,4,7,8,11,12,14],[3,5,6,8,9,11,13],[3,5,6,8,10,12,14]]; G[686]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 687: autom. group order 2, simple B[687]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,6,8,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,11,13],[2,4,7,8,10,12,14],[2,5,6,7,9,11,14],[2,5,6,8,11,12,13],[2,5,7,9,10,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,9,10,11,14],[3,4,7,8,11,12,14],[3,5,6,8,9,12,14],[3,5,6,8,10,11,13]]; G[687]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 688: autom. group order 2, simple B[688]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,6,8,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,12,14],[2,4,7,8,10,11,13],[2,5,6,7,9,11,14],[2,5,6,8,11,12,13],[2,5,7,9,10,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,9,10,11,14],[3,4,7,8,11,12,14],[3,5,6,8,9,11,13],[3,5,6,8,10,12,14]]; G[688]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 689: autom. group order 2, simple B[689]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,6,8,10,11,13],[1,5,7,8,10,12,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,11,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,9,10,12,14],[3,4,7,8,10,11,14],[3,5,6,8,9,11,14],[3,5,6,8,11,12,13]]; G[689]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 690: autom. group order 2, simple B[690]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,6,8,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,7,8,9,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,12,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,13],[3,4,5,7,10,12,13],[3,4,6,7,9,11,13],[3,4,6,9,10,12,14],[3,4,7,8,10,11,14],[3,5,6,8,9,11,13],[3,5,6,8,11,12,14]]; G[690]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 691: autom. group order 2, simple B[691]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,6,8,10,11,13],[1,5,7,8,10,12,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,11,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,9,10,12,14],[3,4,7,8,10,11,14],[3,5,6,8,9,11,14],[3,5,6,8,11,12,13]]; G[691]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 692: autom. group order 2, simple B[692]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,6,8,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,7,8,9,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,12,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,13],[3,4,5,7,10,12,13],[3,4,6,7,9,11,13],[3,4,6,9,10,12,14],[3,4,7,8,10,11,14],[3,5,6,8,9,11,13],[3,5,6,8,11,12,14]]; G[692]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 693: autom. group order 2, simple B[693]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,6,8,10,11,13],[1,5,7,8,10,12,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,10,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,11,14],[2,5,6,8,9,12,13],[2,5,7,9,10,11,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,9,10,12,14],[3,4,7,8,9,11,14],[3,5,6,8,10,11,14],[3,5,6,8,11,12,13]]; G[693]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 694: autom. group order 2, simple B[694]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,6,8,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,7,8,10,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,12,14],[2,5,6,8,9,12,13],[2,5,7,9,10,11,13],[3,4,5,7,10,12,13],[3,4,6,7,9,11,13],[3,4,6,9,10,12,14],[3,4,7,8,9,11,14],[3,5,6,8,10,11,13],[3,5,6,8,11,12,14]]; G[694]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 695: autom. group order 2, simple B[695]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,6,8,10,11,13],[1,5,7,8,10,12,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,10,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,11,14],[2,5,6,8,9,12,13],[2,5,7,9,10,11,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,9,10,12,14],[3,4,7,8,9,11,14],[3,5,6,8,10,11,14],[3,5,6,8,11,12,13]]; G[695]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 696: autom. group order 2, simple B[696]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,6,8,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,7,8,10,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,12,14],[2,5,6,8,9,12,13],[2,5,7,9,10,11,13],[3,4,5,7,10,12,13],[3,4,6,7,9,11,13],[3,4,6,9,10,12,14],[3,4,7,8,9,11,14],[3,5,6,8,10,11,13],[3,5,6,8,11,12,14]]; G[696]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 697: autom. group order 2, simple B[697]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,9,10,13,14],[1,4,6,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,8,10,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,11,13],[2,4,7,8,10,12,14],[2,5,6,7,9,11,14],[2,5,6,8,11,12,13],[2,5,7,9,10,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,9,10,11,14],[3,4,7,8,11,12,14],[3,5,6,8,9,12,14],[3,5,6,8,10,11,13]]; G[697]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 698: autom. group order 2, simple B[698]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,9,10,13,14],[1,4,6,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,8,10,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,12,14],[2,4,7,8,10,11,13],[2,5,6,7,9,11,14],[2,5,6,8,11,12,13],[2,5,7,9,10,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,9,10,11,14],[3,4,7,8,11,12,14],[3,5,6,8,9,11,13],[3,5,6,8,10,12,14]]; G[698]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 699: autom. group order 2, simple B[699]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,13,14],[1,4,5,9,10,11,12],[1,4,6,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,8,10,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,11,13],[2,4,7,8,10,12,14],[2,5,6,7,9,11,14],[2,5,6,8,11,12,13],[2,5,7,9,10,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,9,10,11,14],[3,4,7,8,11,12,14],[3,5,6,8,9,12,14],[3,5,6,8,10,11,13]]; G[699]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 700: autom. group order 2, simple B[700]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,13,14],[1,4,5,9,10,11,12],[1,4,6,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,8,10,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,12,14],[2,4,7,8,10,11,13],[2,5,6,7,9,11,14],[2,5,6,8,11,12,13],[2,5,7,9,10,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,9,10,11,14],[3,4,7,8,11,12,14],[3,5,6,8,9,11,13],[3,5,6,8,10,12,14]]; G[700]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 701: autom. group order 2, simple B[701]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,9,10,13,14],[1,4,6,8,9,11,13],[1,5,7,8,9,12,14],[1,6,7,8,10,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,11,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,9,10,12,14],[3,4,7,8,10,11,14],[3,5,6,8,9,11,14],[3,5,6,8,11,12,13]]; G[701]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 702: autom. group order 2, simple B[702]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,9,10,13,14],[1,4,6,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,8,10,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,7,8,9,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,12,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,13],[3,4,5,7,10,12,13],[3,4,6,7,9,11,13],[3,4,6,9,10,12,14],[3,4,7,8,10,11,14],[3,5,6,8,9,11,13],[3,5,6,8,11,12,14]]; G[702]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 703: autom. group order 2, simple B[703]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,13,14],[1,4,5,9,10,11,12],[1,4,6,8,9,11,13],[1,5,7,8,9,12,14],[1,6,7,8,10,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,11,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,9,10,12,14],[3,4,7,8,10,11,14],[3,5,6,8,9,11,14],[3,5,6,8,11,12,13]]; G[703]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 704: autom. group order 2, simple B[704]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,13,14],[1,4,5,9,10,11,12],[1,4,6,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,8,10,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,7,8,9,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,12,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,13],[3,4,5,7,10,12,13],[3,4,6,7,9,11,13],[3,4,6,9,10,12,14],[3,4,7,8,10,11,14],[3,5,6,8,9,11,13],[3,5,6,8,11,12,14]]; G[704]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 705: autom. group order 2, simple B[705]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,9,10,13,14],[1,4,6,8,9,11,13],[1,5,7,8,9,12,14],[1,6,7,8,10,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,10,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,11,14],[2,5,6,8,9,12,13],[2,5,7,9,10,11,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,9,10,12,14],[3,4,7,8,9,11,14],[3,5,6,8,10,11,14],[3,5,6,8,11,12,13]]; G[705]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 706: autom. group order 2, simple B[706]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,13,14],[1,4,5,9,10,11,12],[1,4,6,8,9,11,13],[1,5,7,8,9,12,14],[1,6,7,8,10,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,10,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,11,14],[2,5,6,8,9,12,13],[2,5,7,9,10,11,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,9,10,12,14],[3,4,7,8,9,11,14],[3,5,6,8,10,11,14],[3,5,6,8,11,12,13]]; G[706]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 707: autom. group order 2, simple B[707]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,13,14],[1,4,5,9,10,11,12],[1,4,6,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,8,10,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,7,8,10,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,12,14],[2,5,6,8,9,12,13],[2,5,7,9,10,11,13],[3,4,5,7,10,12,13],[3,4,6,7,9,11,13],[3,4,6,9,10,12,14],[3,4,7,8,9,11,14],[3,5,6,8,10,11,13],[3,5,6,8,11,12,14]]; G[707]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 708: autom. group order 2, simple B[708]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,11,14],[2,4,7,9,10,12,13],[2,5,6,7,9,12,14],[2,5,6,8,10,11,13],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,11,13],[3,4,6,8,11,12,14],[3,4,7,8,10,12,14],[3,5,6,8,9,12,13],[3,5,6,9,10,11,14]]; G[708]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 709: autom. group order 2, simple B[709]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,12,13],[2,4,7,9,10,11,14],[2,5,6,7,9,12,14],[2,5,6,8,10,11,13],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,11,13],[3,4,6,8,11,12,14],[3,4,7,8,10,12,14],[3,5,6,8,9,11,14],[3,5,6,9,10,12,13]]; G[709]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 710: autom. group order 2, simple B[710]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,11,14],[2,4,7,9,10,12,13],[2,5,6,7,9,12,14],[2,5,6,8,10,11,13],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,11,13],[3,4,6,8,11,12,14],[3,4,7,8,10,12,14],[3,5,6,8,9,12,13],[3,5,6,9,10,11,14]]; G[710]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 711: autom. group order 2, simple B[711]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,12,13],[2,4,7,9,10,11,14],[2,5,6,7,9,12,14],[2,5,6,8,10,11,13],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,11,13],[3,4,6,8,11,12,14],[3,4,7,8,10,12,14],[3,5,6,8,9,11,14],[3,5,6,9,10,12,13]]; G[711]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 712: autom. group order 2, simple B[712]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,11,13],[2,4,7,9,10,12,14],[2,5,6,7,9,11,14],[2,5,6,8,11,12,13],[2,5,7,8,10,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,10,11,14],[3,4,7,8,11,12,14],[3,5,6,8,9,12,14],[3,5,6,9,10,11,13]]; G[712]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 713: autom. group order 2, simple B[713]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,12,14],[2,4,7,9,10,11,13],[2,5,6,7,9,11,14],[2,5,6,8,11,12,13],[2,5,7,8,10,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,10,11,14],[3,4,7,8,11,12,14],[3,5,6,8,9,11,13],[3,5,6,9,10,12,14]]; G[713]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 714: autom. group order 2, simple B[714]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,11,13],[2,4,7,9,10,12,14],[2,5,6,7,9,11,14],[2,5,6,8,11,12,13],[2,5,7,8,10,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,10,11,14],[3,4,7,8,11,12,14],[3,5,6,8,9,12,14],[3,5,6,9,10,11,13]]; G[714]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 715: autom. group order 2, simple B[715]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,12,14],[2,4,7,9,10,11,13],[2,5,6,7,9,11,14],[2,5,6,8,11,12,13],[2,5,7,8,10,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,10,11,14],[3,4,7,8,11,12,14],[3,5,6,8,9,11,13],[3,5,6,9,10,12,14]]; G[715]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 716: autom. group order 2, simple B[716]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,7,8,9,11,13],[2,4,7,9,10,12,14],[2,5,6,7,9,11,14],[2,5,6,8,10,11,12],[2,5,7,8,12,13,14],[3,4,5,7,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,11,13,14],[3,4,7,8,10,11,12],[3,5,6,8,9,12,13],[3,5,6,9,10,11,14]]; G[716]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 717: autom. group order 2, simple B[717]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,7,8,9,12,13],[2,4,7,9,10,11,14],[2,5,6,7,9,11,14],[2,5,6,8,10,11,12],[2,5,7,8,12,13,14],[3,4,5,7,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,11,13,14],[3,4,7,8,10,11,12],[3,5,6,8,9,11,13],[3,5,6,9,10,12,14]]; G[717]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 718: autom. group order 2, simple B[718]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,7,8,9,11,13],[2,4,7,9,10,12,14],[2,5,6,7,9,12,14],[2,5,6,8,11,13,14],[2,5,7,8,10,11,12],[3,4,5,7,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,10,11,12],[3,4,7,8,12,13,14],[3,5,6,8,9,12,13],[3,5,6,9,10,11,14]]; G[718]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 719: autom. group order 2, simple B[719]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,7,8,9,12,13],[2,4,7,9,10,11,14],[2,5,6,7,9,12,14],[2,5,6,8,11,13,14],[2,5,7,8,10,11,12],[3,4,5,7,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,10,11,12],[3,4,7,8,12,13,14],[3,5,6,8,9,11,13],[3,5,6,9,10,12,14]]; G[719]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 720: autom. group order 2, simple B[720]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,11,14],[1,5,7,9,10,12,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,7,8,9,11,12],[2,4,7,9,10,12,13],[2,5,6,7,9,11,14],[2,5,6,8,10,12,14],[2,5,7,8,11,13,14],[3,4,5,7,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,12,13,14],[3,4,7,8,10,11,14],[3,5,6,8,9,11,12],[3,5,6,9,10,11,13]]; G[720]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 721: autom. group order 2, simple B[721]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,12,14],[1,5,7,9,10,11,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,6,10,11,13],[2,4,7,8,9,11,12],[2,4,7,9,10,12,13],[2,5,6,7,9,12,14],[2,5,6,8,10,12,14],[2,5,7,8,11,13,14],[3,4,5,7,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,12,13,14],[3,4,7,8,10,11,14],[3,5,6,8,9,11,12],[3,5,6,9,10,11,13]]; G[721]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 722: autom. group order 2, simple B[722]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,11,14],[1,5,7,9,10,12,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,7,8,9,11,12],[2,4,7,9,10,12,13],[2,5,6,7,9,11,14],[2,5,6,8,12,13,14],[2,5,7,8,10,11,14],[3,4,5,7,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,10,12,14],[3,4,7,8,11,13,14],[3,5,6,8,9,11,12],[3,5,6,9,10,11,13]]; G[722]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 723: autom. group order 2, simple B[723]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,12,14],[1,5,7,9,10,11,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,6,10,11,13],[2,4,7,8,9,11,12],[2,4,7,9,10,12,13],[2,5,6,7,9,12,14],[2,5,6,8,12,13,14],[2,5,7,8,10,11,14],[3,4,5,7,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,10,12,14],[3,4,7,8,11,13,14],[3,5,6,8,9,11,12],[3,5,6,9,10,11,13]]; G[723]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 724: autom. group order 2, simple B[724]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,10,11,14],[2,4,7,9,10,12,13],[2,5,6,7,9,12,14],[2,5,6,8,9,11,13],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,11,13],[3,4,6,8,11,12,14],[3,4,7,8,9,12,14],[3,5,6,8,10,12,13],[3,5,6,9,10,11,14]]; G[724]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 725: autom. group order 2, simple B[725]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,10,12,13],[2,4,7,9,10,11,14],[2,5,6,7,9,12,14],[2,5,6,8,9,11,13],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,11,13],[3,4,6,8,11,12,14],[3,4,7,8,9,12,14],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13]]; G[725]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 726: autom. group order 2, simple B[726]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,10,11,14],[2,4,7,9,10,12,13],[2,5,6,7,9,12,14],[2,5,6,8,9,11,13],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,11,13],[3,4,6,8,11,12,14],[3,4,7,8,9,12,14],[3,5,6,8,10,12,13],[3,5,6,9,10,11,14]]; G[726]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 727: autom. group order 2, simple B[727]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,10,12,13],[2,4,7,9,10,11,14],[2,5,6,7,9,12,14],[2,5,6,8,9,11,13],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,11,13],[3,4,6,8,11,12,14],[3,4,7,8,9,12,14],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13]]; G[727]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 728: autom. group order 2, simple B[728]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,11,13],[1,5,7,9,10,12,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,11,12,14],[2,4,7,9,10,12,13],[2,5,6,7,9,11,14],[2,5,6,8,9,12,13],[2,5,7,8,10,11,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,10,12,14],[3,4,7,8,9,11,14],[3,5,6,8,11,12,13],[3,5,6,9,10,11,14]]; G[728]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 729: autom. group order 2, simple B[729]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,7,8,11,12,13],[2,4,7,9,10,12,14],[2,5,6,7,9,12,14],[2,5,6,8,9,12,13],[2,5,7,8,10,11,13],[3,4,5,7,10,12,13],[3,4,6,7,9,11,13],[3,4,6,8,10,12,14],[3,4,7,8,9,11,14],[3,5,6,8,11,12,14],[3,5,6,9,10,11,13]]; G[729]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 730: autom. group order 2, simple B[730]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,11,13],[1,5,7,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,11,12,14],[2,4,7,9,10,12,13],[2,5,6,7,9,11,14],[2,5,6,8,9,12,13],[2,5,7,8,10,11,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,10,12,14],[3,4,7,8,9,11,14],[3,5,6,8,11,12,13],[3,5,6,9,10,11,14]]; G[730]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 731: autom. group order 2, simple B[731]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,7,8,11,12,13],[2,4,7,9,10,12,14],[2,5,6,7,9,12,14],[2,5,6,8,9,12,13],[2,5,7,8,10,11,13],[3,4,5,7,10,12,13],[3,4,6,7,9,11,13],[3,4,6,8,10,12,14],[3,4,7,8,9,11,14],[3,5,6,8,11,12,14],[3,5,6,9,10,11,13]]; G[731]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 732: autom. group order 2, simple B[732]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,6,9,10,11,13],[1,5,7,9,10,12,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,7,8,10,11,12],[2,4,7,9,10,12,14],[2,5,6,7,9,11,14],[2,5,6,8,9,12,13],[2,5,7,8,11,13,14],[3,4,5,7,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,12,13,14],[3,4,7,8,9,11,13],[3,5,6,8,10,11,12],[3,5,6,9,10,11,14]]; G[732]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 733: autom. group order 2, simple B[733]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,11,13],[2,4,7,8,10,11,12],[2,4,7,9,10,12,14],[2,5,6,7,9,12,14],[2,5,6,8,9,12,13],[2,5,7,8,11,13,14],[3,4,5,7,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,12,13,14],[3,4,7,8,9,11,13],[3,5,6,8,10,11,12],[3,5,6,9,10,11,14]]; G[733]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 734: autom. group order 2, simple B[734]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,7,8,11,13,14],[2,4,7,9,10,12,14],[2,5,6,7,9,12,14],[2,5,6,8,9,11,13],[2,5,7,8,10,11,12],[3,4,5,7,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,10,11,12],[3,4,7,8,9,12,13],[3,5,6,8,12,13,14],[3,5,6,9,10,11,14]]; G[734]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 735: autom. group order 2, simple B[735]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,7,8,12,13,14],[2,4,7,9,10,11,14],[2,5,6,7,9,12,14],[2,5,6,8,9,11,13],[2,5,7,8,10,11,12],[3,4,5,7,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,10,11,12],[3,4,7,8,9,12,13],[3,5,6,8,11,13,14],[3,5,6,9,10,12,14]]; G[735]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 736: autom. group order 2, simple B[736]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,12,14],[1,5,7,9,10,11,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,7,8,10,11,14],[2,4,7,9,10,12,13],[2,5,6,7,9,11,14],[2,5,6,8,9,11,12],[2,5,7,8,12,13,14],[3,4,5,7,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,11,13,14],[3,4,7,8,9,11,12],[3,5,6,8,10,12,14],[3,5,6,9,10,11,13]]; G[736]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 737: autom. group order 2, simple B[737]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,12,14],[1,5,7,9,10,11,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,7,8,10,12,14],[2,4,7,9,10,11,13],[2,5,6,7,9,11,14],[2,5,6,8,9,11,12],[2,5,7,8,12,13,14],[3,4,5,7,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,11,13,14],[3,4,7,8,9,11,12],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13]]; G[737]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 738: autom. group order 2, simple B[738]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,12,14],[1,5,7,9,10,11,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,7,8,11,13,14],[2,4,7,9,10,12,13],[2,5,6,7,9,11,14],[2,5,6,8,9,11,12],[2,5,7,8,10,12,14],[3,4,5,7,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,10,11,14],[3,4,7,8,9,11,12],[3,5,6,8,12,13,14],[3,5,6,9,10,11,13]]; G[738]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 739: autom. group order 2, simple B[739]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,12,14],[1,5,7,9,10,11,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,7,8,12,13,14],[2,4,7,9,10,11,13],[2,5,6,7,9,11,14],[2,5,6,8,9,11,12],[2,5,7,8,10,12,14],[3,4,5,7,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,10,11,14],[3,4,7,8,9,11,12],[3,5,6,8,11,13,14],[3,5,6,9,10,12,13]]; G[739]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 740: autom. group order 2, simple B[740]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,10,11,13],[2,4,7,9,10,12,14],[2,5,6,7,9,11,14],[2,5,6,8,11,12,13],[2,5,7,8,9,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,9,11,14],[3,4,7,8,11,12,14],[3,5,6,8,10,12,14],[3,5,6,9,10,11,13]]; G[740]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 741: autom. group order 2, simple B[741]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,10,12,14],[2,4,7,9,10,11,13],[2,5,6,7,9,11,14],[2,5,6,8,11,12,13],[2,5,7,8,9,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,9,11,14],[3,4,7,8,11,12,14],[3,5,6,8,10,11,13],[3,5,6,9,10,12,14]]; G[741]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 742: autom. group order 2, simple B[742]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,10,11,13],[2,4,7,9,10,12,14],[2,5,6,7,9,11,14],[2,5,6,8,11,12,13],[2,5,7,8,9,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,9,11,14],[3,4,7,8,11,12,14],[3,5,6,8,10,12,14],[3,5,6,9,10,11,13]]; G[742]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 743: autom. group order 2, simple B[743]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,10,12,14],[2,4,7,9,10,11,13],[2,5,6,7,9,11,14],[2,5,6,8,11,12,13],[2,5,7,8,9,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,9,11,14],[3,4,7,8,11,12,14],[3,5,6,8,10,11,13],[3,5,6,9,10,12,14]]; G[743]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 744: autom. group order 2, simple B[744]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,11,13],[1,5,7,9,10,12,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,11,12,14],[2,4,7,9,10,12,13],[2,5,6,7,9,11,14],[2,5,6,8,10,12,13],[2,5,7,8,9,11,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,9,12,14],[3,4,7,8,10,11,14],[3,5,6,8,11,12,13],[3,5,6,9,10,11,14]]; G[744]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 745: autom. group order 2, simple B[745]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,7,8,11,12,13],[2,4,7,9,10,12,14],[2,5,6,7,9,12,14],[2,5,6,8,10,12,13],[2,5,7,8,9,11,13],[3,4,5,7,10,12,13],[3,4,6,7,9,11,13],[3,4,6,8,9,12,14],[3,4,7,8,10,11,14],[3,5,6,8,11,12,14],[3,5,6,9,10,11,13]]; G[745]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 746: autom. group order 2, simple B[746]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,11,13],[1,5,7,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,11,12,14],[2,4,7,9,10,12,13],[2,5,6,7,9,11,14],[2,5,6,8,10,12,13],[2,5,7,8,9,11,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,9,12,14],[3,4,7,8,10,11,14],[3,5,6,8,11,12,13],[3,5,6,9,10,11,14]]; G[746]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 747: autom. group order 2, simple B[747]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,7,8,11,12,13],[2,4,7,9,10,12,14],[2,5,6,7,9,12,14],[2,5,6,8,10,12,13],[2,5,7,8,9,11,13],[3,4,5,7,10,12,13],[3,4,6,7,9,11,13],[3,4,6,8,9,12,14],[3,4,7,8,10,11,14],[3,5,6,8,11,12,14],[3,5,6,9,10,11,13]]; G[747]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 748: autom. group order 2, simple B[748]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,6,9,10,11,13],[1,5,7,9,10,12,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,7,8,10,11,12],[2,4,7,9,10,12,14],[2,5,6,7,9,11,14],[2,5,6,8,12,13,14],[2,5,7,8,9,11,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,9,12,13],[3,4,7,8,11,13,14],[3,5,6,8,10,11,12],[3,5,6,9,10,11,14]]; G[748]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 749: autom. group order 2, simple B[749]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,11,13],[2,4,7,8,10,11,12],[2,4,7,9,10,12,14],[2,5,6,7,9,12,14],[2,5,6,8,12,13,14],[2,5,7,8,9,11,13],[3,4,5,7,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,9,12,13],[3,4,7,8,11,13,14],[3,5,6,8,10,11,12],[3,5,6,9,10,11,14]]; G[749]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 750: autom. group order 2, simple B[750]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,7,8,11,13,14],[2,4,7,9,10,12,14],[2,5,6,7,9,11,14],[2,5,6,8,10,11,12],[2,5,7,8,9,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,9,11,13],[3,4,7,8,10,11,12],[3,5,6,8,12,13,14],[3,5,6,9,10,11,14]]; G[750]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 751: autom. group order 2, simple B[751]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,7,8,12,13,14],[2,4,7,9,10,11,14],[2,5,6,7,9,11,14],[2,5,6,8,10,11,12],[2,5,7,8,9,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,9,11,13],[3,4,7,8,10,11,12],[3,5,6,8,11,13,14],[3,5,6,9,10,12,14]]; G[751]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 752: autom. group order 2, simple B[752]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,12,14],[1,5,7,9,10,11,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,7,8,10,11,14],[2,4,7,9,10,12,13],[2,5,6,7,9,12,14],[2,5,6,8,11,13,14],[2,5,7,8,9,11,12],[3,4,5,7,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,9,11,12],[3,4,7,8,12,13,14],[3,5,6,8,10,12,14],[3,5,6,9,10,11,13]]; G[752]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 753: autom. group order 2, simple B[753]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,12,14],[1,5,7,9,10,11,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,7,8,10,12,14],[2,4,7,9,10,11,13],[2,5,6,7,9,12,14],[2,5,6,8,11,13,14],[2,5,7,8,9,11,12],[3,4,5,7,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,9,11,12],[3,4,7,8,12,13,14],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13]]; G[753]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 754: autom. group order 2, simple B[754]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,12,14],[1,5,7,9,10,11,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,7,8,11,13,14],[2,4,7,9,10,12,13],[2,5,6,7,9,12,14],[2,5,6,8,10,11,14],[2,5,7,8,9,11,12],[3,4,5,7,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,9,11,12],[3,4,7,8,10,12,14],[3,5,6,8,12,13,14],[3,5,6,9,10,11,13]]; G[754]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 755: autom. group order 2, simple B[755]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,12,14],[1,5,7,9,10,11,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,7,8,12,13,14],[2,4,7,9,10,11,13],[2,5,6,7,9,12,14],[2,5,6,8,10,11,14],[2,5,7,8,9,11,12],[3,4,5,7,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,9,11,12],[3,4,7,8,10,12,14],[3,5,6,8,11,13,14],[3,5,6,9,10,12,13]]; G[755]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 756: autom. group order 2, simple B[756]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,6,9,12,14],[2,4,7,8,9,11,14],[2,4,7,9,10,12,13],[2,5,6,7,10,12,14],[2,5,6,8,10,11,13],[2,5,7,8,11,12,13],[3,4,5,7,9,11,13],[3,4,6,7,10,11,13],[3,4,6,8,11,12,14],[3,4,7,8,10,12,14],[3,5,6,8,9,12,13],[3,5,6,9,10,11,14]]; G[756]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 757: autom. group order 2, simple B[757]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,6,9,12,14],[2,4,7,8,9,12,13],[2,4,7,9,10,11,14],[2,5,6,7,10,12,14],[2,5,6,8,10,11,13],[2,5,7,8,11,12,13],[3,4,5,7,9,11,13],[3,4,6,7,10,11,13],[3,4,6,8,11,12,14],[3,4,7,8,10,12,14],[3,5,6,8,9,11,14],[3,5,6,9,10,12,13]]; G[757]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 758: autom. group order 2, simple B[758]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,6,9,12,14],[2,4,7,8,9,11,13],[2,4,7,9,10,12,14],[2,5,6,7,10,11,14],[2,5,6,8,11,12,13],[2,5,7,8,10,12,13],[3,4,5,7,9,11,13],[3,4,6,7,10,12,13],[3,4,6,8,10,11,14],[3,4,7,8,11,12,14],[3,5,6,8,9,12,14],[3,5,6,9,10,11,13]]; G[758]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 759: autom. group order 2, simple B[759]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,6,9,12,14],[2,4,7,8,9,12,14],[2,4,7,9,10,11,13],[2,5,6,7,10,11,14],[2,5,6,8,11,12,13],[2,5,7,8,10,12,13],[3,4,5,7,9,11,13],[3,4,6,7,10,12,13],[3,4,6,8,10,11,14],[3,4,7,8,11,12,14],[3,5,6,8,9,11,13],[3,5,6,9,10,12,14]]; G[759]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 760: autom. group order 2, simple B[760]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,6,9,12,14],[2,4,7,8,10,11,14],[2,4,7,9,10,12,13],[2,5,6,7,10,12,14],[2,5,6,8,9,11,13],[2,5,7,8,11,12,13],[3,4,5,7,9,11,13],[3,4,6,7,10,11,13],[3,4,6,8,11,12,14],[3,4,7,8,9,12,14],[3,5,6,8,10,12,13],[3,5,6,9,10,11,14]]; G[760]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 761: autom. group order 2, simple B[761]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,6,9,12,14],[2,4,7,8,10,12,13],[2,4,7,9,10,11,14],[2,5,6,7,10,12,14],[2,5,6,8,9,11,13],[2,5,7,8,11,12,13],[3,4,5,7,9,11,13],[3,4,6,7,10,11,13],[3,4,6,8,11,12,14],[3,4,7,8,9,12,14],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13]]; G[761]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 762: autom. group order 2, simple B[762]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,11,13],[1,5,7,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,6,9,12,14],[2,4,7,8,11,12,14],[2,4,7,9,10,12,13],[2,5,6,7,10,11,14],[2,5,6,8,9,12,13],[2,5,7,8,10,11,13],[3,4,5,7,9,11,13],[3,4,6,7,10,12,13],[3,4,6,8,10,12,14],[3,4,7,8,9,11,14],[3,5,6,8,11,12,13],[3,5,6,9,10,11,14]]; G[762]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 763: autom. group order 2, simple B[763]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,6,9,11,14],[2,4,7,8,11,12,13],[2,4,7,9,10,12,14],[2,5,6,7,10,12,14],[2,5,6,8,9,12,13],[2,5,7,8,10,11,13],[3,4,5,7,9,12,13],[3,4,6,7,10,11,13],[3,4,6,8,10,12,14],[3,4,7,8,9,11,14],[3,5,6,8,11,12,14],[3,5,6,9,10,11,13]]; G[763]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 764: autom. group order 2, simple B[764]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,6,9,12,14],[2,4,7,8,10,11,13],[2,4,7,9,10,12,14],[2,5,6,7,10,11,14],[2,5,6,8,11,12,13],[2,5,7,8,9,12,13],[3,4,5,7,9,11,13],[3,4,6,7,10,12,13],[3,4,6,8,9,11,14],[3,4,7,8,11,12,14],[3,5,6,8,10,12,14],[3,5,6,9,10,11,13]]; G[764]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 765: autom. group order 2, simple B[765]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,6,9,12,14],[2,4,7,8,10,12,14],[2,4,7,9,10,11,13],[2,5,6,7,10,11,14],[2,5,6,8,11,12,13],[2,5,7,8,9,12,13],[3,4,5,7,9,11,13],[3,4,6,7,10,12,13],[3,4,6,8,9,11,14],[3,4,7,8,11,12,14],[3,5,6,8,10,11,13],[3,5,6,9,10,12,14]]; G[765]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 766: autom. group order 2, simple B[766]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,11,13],[1,5,7,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,6,9,12,14],[2,4,7,8,11,12,14],[2,4,7,9,10,12,13],[2,5,6,7,10,11,14],[2,5,6,8,10,12,13],[2,5,7,8,9,11,13],[3,4,5,7,9,11,13],[3,4,6,7,10,12,13],[3,4,6,8,9,12,14],[3,4,7,8,10,11,14],[3,5,6,8,11,12,13],[3,5,6,9,10,11,14]]; G[766]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 767: autom. group order 2, simple B[767]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,6,9,11,14],[2,4,7,8,11,12,13],[2,4,7,9,10,12,14],[2,5,6,7,10,12,14],[2,5,6,8,10,12,13],[2,5,7,8,9,11,13],[3,4,5,7,9,12,13],[3,4,6,7,10,11,13],[3,4,6,8,9,12,14],[3,4,7,8,10,11,14],[3,5,6,8,11,12,14],[3,5,6,9,10,11,13]]; G[767]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 768: autom. group order 2, simple B[768]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,11,14],[2,4,7,8,10,12,13],[2,5,6,7,9,12,14],[2,5,6,9,10,11,13],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,11,13],[3,4,6,8,11,12,14],[3,4,7,9,10,12,14],[3,5,6,8,9,12,13],[3,5,6,8,10,11,14]]; G[768]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 769: autom. group order 2, simple B[769]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,12,14],[2,5,6,9,10,11,13],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,11,13],[3,4,6,8,11,12,14],[3,4,7,9,10,12,14],[3,5,6,8,9,11,14],[3,5,6,8,10,12,13]]; G[769]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 770: autom. group order 2, simple B[770]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,11,14],[2,4,7,8,10,12,13],[2,5,6,7,9,12,14],[2,5,6,9,10,11,13],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,11,13],[3,4,6,8,11,12,14],[3,4,7,9,10,12,14],[3,5,6,8,9,12,13],[3,5,6,8,10,11,14]]; G[770]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 771: autom. group order 2, simple B[771]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,12,14],[2,5,6,9,10,11,13],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,11,13],[3,4,6,8,11,12,14],[3,4,7,9,10,12,14],[3,5,6,8,9,11,14],[3,5,6,8,10,12,13]]; G[771]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 772: autom. group order 2, simple B[772]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,11,13],[1,5,7,9,10,12,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,11,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,10,12,14],[3,4,7,9,10,11,14],[3,5,6,8,9,11,14],[3,5,6,8,11,12,13]]; G[772]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 773: autom. group order 2, simple B[773]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,7,8,9,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,13],[3,4,5,7,10,12,13],[3,4,6,7,9,11,13],[3,4,6,8,10,12,14],[3,4,7,9,10,11,14],[3,5,6,8,9,11,13],[3,5,6,8,11,12,14]]; G[773]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 774: autom. group order 2, simple B[774]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,11,13],[1,5,7,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,11,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,10,12,14],[3,4,7,9,10,11,14],[3,5,6,8,9,11,14],[3,5,6,8,11,12,13]]; G[774]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 775: autom. group order 2, simple B[775]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,7,8,9,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,13],[3,4,5,7,10,12,13],[3,4,6,7,9,11,13],[3,4,6,8,10,12,14],[3,4,7,9,10,11,14],[3,5,6,8,9,11,13],[3,5,6,8,11,12,14]]; G[775]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 776: autom. group order 2, simple B[776]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,6,9,10,11,13],[1,5,7,9,10,12,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,7,8,9,12,13],[2,4,7,8,10,11,12],[2,5,6,7,9,11,14],[2,5,6,9,10,12,14],[2,5,7,8,11,13,14],[3,4,5,7,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,12,13,14],[3,4,7,9,10,11,14],[3,5,6,8,9,11,13],[3,5,6,8,10,11,12]]; G[776]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 777: autom. group order 2, simple B[777]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,11,13],[2,4,7,8,9,12,13],[2,4,7,8,10,11,12],[2,5,6,7,9,12,14],[2,5,6,9,10,12,14],[2,5,7,8,11,13,14],[3,4,5,7,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,12,13,14],[3,4,7,9,10,11,14],[3,5,6,8,9,11,13],[3,5,6,8,10,11,12]]; G[777]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 778: autom. group order 2, simple B[778]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,7,8,9,11,13],[2,4,7,8,12,13,14],[2,5,6,7,9,12,14],[2,5,6,9,10,11,14],[2,5,7,8,10,11,12],[3,4,5,7,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,10,11,12],[3,4,7,9,10,12,14],[3,5,6,8,9,12,13],[3,5,6,8,11,13,14]]; G[778]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 779: autom. group order 2, simple B[779]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,7,8,9,12,13],[2,4,7,8,11,13,14],[2,5,6,7,9,12,14],[2,5,6,9,10,11,14],[2,5,7,8,10,11,12],[3,4,5,7,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,10,11,12],[3,4,7,9,10,12,14],[3,5,6,8,9,11,13],[3,5,6,8,12,13,14]]; G[779]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 780: autom. group order 2, simple B[780]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,11,14],[1,5,7,9,10,12,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,7,8,9,11,12],[2,4,7,8,10,12,14],[2,5,6,7,9,11,14],[2,5,6,9,10,12,13],[2,5,7,8,11,13,14],[3,4,5,7,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,12,13,14],[3,4,7,9,10,11,13],[3,5,6,8,9,11,12],[3,5,6,8,10,11,14]]; G[780]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 781: autom. group order 2, simple B[781]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,12,14],[1,5,7,9,10,11,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,6,10,11,13],[2,4,7,8,9,11,12],[2,4,7,8,10,12,14],[2,5,6,7,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,11,13,14],[3,4,5,7,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,12,13,14],[3,4,7,9,10,11,13],[3,5,6,8,9,11,12],[3,5,6,8,10,11,14]]; G[781]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 782: autom. group order 2, simple B[782]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,11,14],[1,5,7,9,10,12,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,7,8,9,11,12],[2,4,7,8,12,13,14],[2,5,6,7,9,11,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,7,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,10,12,14],[3,4,7,9,10,11,13],[3,5,6,8,9,11,12],[3,5,6,8,11,13,14]]; G[782]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 783: autom. group order 2, simple B[783]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,12,14],[1,5,7,9,10,11,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,6,10,11,13],[2,4,7,8,9,11,12],[2,4,7,8,12,13,14],[2,5,6,7,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,7,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,10,12,14],[3,4,7,9,10,11,13],[3,5,6,8,9,11,12],[3,5,6,8,11,13,14]]; G[783]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 784: autom. group order 2, simple B[784]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,11,13],[1,5,7,9,10,12,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,10,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,11,14],[2,5,6,9,10,12,13],[2,5,7,8,9,11,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,9,12,14],[3,4,7,9,10,11,14],[3,5,6,8,10,11,14],[3,5,6,8,11,12,13]]; G[784]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 785: autom. group order 2, simple B[785]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,7,8,10,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,9,11,13],[3,4,5,7,10,12,13],[3,4,6,7,9,11,13],[3,4,6,8,9,12,14],[3,4,7,9,10,11,14],[3,5,6,8,10,11,13],[3,5,6,8,11,12,14]]; G[785]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 786: autom. group order 2, simple B[786]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,11,13],[1,5,7,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,10,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,11,14],[2,5,6,9,10,12,13],[2,5,7,8,9,11,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,9,12,14],[3,4,7,9,10,11,14],[3,5,6,8,10,11,14],[3,5,6,8,11,12,13]]; G[786]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 787: autom. group order 2, simple B[787]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,7,8,10,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,9,11,13],[3,4,5,7,10,12,13],[3,4,6,7,9,11,13],[3,4,6,8,9,12,14],[3,4,7,9,10,11,14],[3,5,6,8,10,11,13],[3,5,6,8,11,12,14]]; G[787]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 788: autom. group order 2, simple B[788]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,6,9,10,11,13],[1,5,7,9,10,12,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,7,8,10,11,12],[2,4,7,8,12,13,14],[2,5,6,7,9,11,14],[2,5,6,9,10,12,14],[2,5,7,8,9,11,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,9,12,13],[3,4,7,9,10,11,14],[3,5,6,8,10,11,12],[3,5,6,8,11,13,14]]; G[788]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 789: autom. group order 2, simple B[789]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,11,13],[2,4,7,8,10,11,12],[2,4,7,8,12,13,14],[2,5,6,7,9,12,14],[2,5,6,9,10,12,14],[2,5,7,8,9,11,13],[3,4,5,7,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,9,12,13],[3,4,7,9,10,11,14],[3,5,6,8,10,11,12],[3,5,6,8,11,13,14]]; G[789]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 790: autom. group order 2, simple B[790]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,12,14],[1,5,7,9,10,11,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,7,8,10,11,14],[2,4,7,8,12,13,14],[2,5,6,7,9,12,14],[2,5,6,9,10,11,13],[2,5,7,8,9,11,12],[3,4,5,7,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,9,11,12],[3,4,7,9,10,12,13],[3,5,6,8,10,12,14],[3,5,6,8,11,13,14]]; G[790]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 791: autom. group order 2, simple B[791]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,12,14],[1,5,7,9,10,11,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,7,8,10,12,14],[2,4,7,8,11,13,14],[2,5,6,7,9,12,14],[2,5,6,9,10,11,13],[2,5,7,8,9,11,12],[3,4,5,7,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,9,11,12],[3,4,7,9,10,12,13],[3,5,6,8,10,11,14],[3,5,6,8,12,13,14]]; G[791]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 792: autom. group order 2, simple B[792]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,6,9,12,14],[2,4,7,8,9,11,14],[2,4,7,8,10,12,13],[2,5,6,7,10,12,14],[2,5,6,9,10,11,13],[2,5,7,8,11,12,13],[3,4,5,7,9,11,13],[3,4,6,7,10,11,13],[3,4,6,8,11,12,14],[3,4,7,9,10,12,14],[3,5,6,8,9,12,13],[3,5,6,8,10,11,14]]; G[792]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 793: autom. group order 2, simple B[793]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,6,9,12,14],[2,4,7,8,9,12,13],[2,4,7,8,10,11,14],[2,5,6,7,10,12,14],[2,5,6,9,10,11,13],[2,5,7,8,11,12,13],[3,4,5,7,9,11,13],[3,4,6,7,10,11,13],[3,4,6,8,11,12,14],[3,4,7,9,10,12,14],[3,5,6,8,9,11,14],[3,5,6,8,10,12,13]]; G[793]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 794: autom. group order 2, simple B[794]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,11,13],[1,5,7,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,6,9,12,14],[2,4,7,8,9,12,13],[2,4,7,8,11,12,14],[2,5,6,7,10,11,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,13],[3,4,5,7,9,11,13],[3,4,6,7,10,12,13],[3,4,6,8,10,12,14],[3,4,7,9,10,11,14],[3,5,6,8,9,11,14],[3,5,6,8,11,12,13]]; G[794]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 795: autom. group order 2, simple B[795]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,6,9,11,14],[2,4,7,8,9,12,14],[2,4,7,8,11,12,13],[2,5,6,7,10,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,13],[3,4,5,7,9,12,13],[3,4,6,7,10,11,13],[3,4,6,8,10,12,14],[3,4,7,9,10,11,14],[3,5,6,8,9,11,13],[3,5,6,8,11,12,14]]; G[795]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 796: autom. group order 2, simple B[796]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,11,13],[1,5,7,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,6,9,12,14],[2,4,7,8,10,12,13],[2,4,7,8,11,12,14],[2,5,6,7,10,11,14],[2,5,6,9,10,12,13],[2,5,7,8,9,11,13],[3,4,5,7,9,11,13],[3,4,6,7,10,12,13],[3,4,6,8,9,12,14],[3,4,7,9,10,11,14],[3,5,6,8,10,11,14],[3,5,6,8,11,12,13]]; G[796]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 797: autom. group order 2, simple B[797]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,6,9,11,14],[2,4,7,8,10,12,14],[2,4,7,8,11,12,13],[2,5,6,7,10,12,14],[2,5,6,9,10,12,13],[2,5,7,8,9,11,13],[3,4,5,7,9,12,13],[3,4,6,7,10,11,13],[3,4,6,8,9,12,14],[3,4,7,9,10,11,14],[3,5,6,8,10,11,13],[3,5,6,8,11,12,14]]; G[797]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 798: autom. group order 2, simple B[798]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,11,13],[2,4,7,8,10,12,14],[2,5,6,7,9,11,14],[2,5,6,8,11,12,13],[2,5,7,9,10,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,9,10,11,14],[3,4,7,8,11,12,14],[3,5,6,8,9,12,14],[3,5,6,8,10,11,13]]; G[798]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 799: autom. group order 2, simple B[799]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,12,14],[2,4,7,8,10,11,13],[2,5,6,7,9,11,14],[2,5,6,8,11,12,13],[2,5,7,9,10,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,9,10,11,14],[3,4,7,8,11,12,14],[3,5,6,8,9,11,13],[3,5,6,8,10,12,14]]; G[799]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 800: autom. group order 2, simple B[800]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,11,13],[2,4,7,8,10,12,14],[2,5,6,7,9,11,14],[2,5,6,8,11,12,13],[2,5,7,9,10,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,9,10,11,14],[3,4,7,8,11,12,14],[3,5,6,8,9,12,14],[3,5,6,8,10,11,13]]; G[800]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 801: autom. group order 2, simple B[801]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,12,14],[2,4,7,8,10,11,13],[2,5,6,7,9,11,14],[2,5,6,8,11,12,13],[2,5,7,9,10,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,9,10,11,14],[3,4,7,8,11,12,14],[3,5,6,8,9,11,13],[3,5,6,8,10,12,14]]; G[801]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 802: autom. group order 2, simple B[802]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,11,13],[1,5,7,9,10,12,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,11,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,9,10,12,14],[3,4,7,8,10,11,14],[3,5,6,8,9,11,14],[3,5,6,8,11,12,13]]; G[802]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 803: autom. group order 2, simple B[803]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,7,8,9,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,12,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,13],[3,4,5,7,10,12,13],[3,4,6,7,9,11,13],[3,4,6,9,10,12,14],[3,4,7,8,10,11,14],[3,5,6,8,9,11,13],[3,5,6,8,11,12,14]]; G[803]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 804: autom. group order 2, simple B[804]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,11,13],[1,5,7,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,11,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,9,10,12,14],[3,4,7,8,10,11,14],[3,5,6,8,9,11,14],[3,5,6,8,11,12,13]]; G[804]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 805: autom. group order 2, simple B[805]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,7,8,9,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,12,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,13],[3,4,5,7,10,12,13],[3,4,6,7,9,11,13],[3,4,6,9,10,12,14],[3,4,7,8,10,11,14],[3,5,6,8,9,11,13],[3,5,6,8,11,12,14]]; G[805]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 806: autom. group order 2, simple B[806]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,6,9,10,11,13],[1,5,7,9,10,12,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,7,8,9,12,13],[2,4,7,8,10,11,12],[2,5,6,7,9,11,14],[2,5,6,8,12,13,14],[2,5,7,9,10,11,14],[3,4,5,7,10,11,13],[3,4,6,7,9,12,14],[3,4,6,9,10,12,14],[3,4,7,8,11,13,14],[3,5,6,8,9,11,13],[3,5,6,8,10,11,12]]; G[806]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 807: autom. group order 2, simple B[807]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,11,13],[2,4,7,8,9,12,13],[2,4,7,8,10,11,12],[2,5,6,7,9,12,14],[2,5,6,8,12,13,14],[2,5,7,9,10,11,14],[3,4,5,7,10,12,13],[3,4,6,7,9,11,14],[3,4,6,9,10,12,14],[3,4,7,8,11,13,14],[3,5,6,8,9,11,13],[3,5,6,8,10,11,12]]; G[807]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 808: autom. group order 2, simple B[808]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,7,8,9,11,13],[2,4,7,8,12,13,14],[2,5,6,7,9,11,14],[2,5,6,8,10,11,12],[2,5,7,9,10,12,14],[3,4,5,7,10,11,13],[3,4,6,7,9,12,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,12],[3,5,6,8,9,12,13],[3,5,6,8,11,13,14]]; G[808]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 809: autom. group order 2, simple B[809]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,7,8,9,12,13],[2,4,7,8,11,13,14],[2,5,6,7,9,11,14],[2,5,6,8,10,11,12],[2,5,7,9,10,12,14],[3,4,5,7,10,11,13],[3,4,6,7,9,12,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,12],[3,5,6,8,9,11,13],[3,5,6,8,12,13,14]]; G[809]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 810: autom. group order 2, simple B[810]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,11,14],[1,5,7,9,10,12,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,7,8,9,11,12],[2,4,7,8,10,12,14],[2,5,6,7,9,11,14],[2,5,6,8,12,13,14],[2,5,7,9,10,11,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,14],[3,4,6,9,10,12,13],[3,4,7,8,11,13,14],[3,5,6,8,9,11,12],[3,5,6,8,10,11,14]]; G[810]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 811: autom. group order 2, simple B[811]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,12,14],[1,5,7,9,10,11,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,6,10,11,13],[2,4,7,8,9,11,12],[2,4,7,8,10,12,14],[2,5,6,7,9,12,14],[2,5,6,8,12,13,14],[2,5,7,9,10,11,13],[3,4,5,7,10,12,13],[3,4,6,7,9,11,14],[3,4,6,9,10,12,13],[3,4,7,8,11,13,14],[3,5,6,8,9,11,12],[3,5,6,8,10,11,14]]; G[811]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 812: autom. group order 2, simple B[812]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,11,14],[1,5,7,9,10,12,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,7,8,9,11,12],[2,4,7,8,12,13,14],[2,5,6,7,9,11,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,14],[3,4,6,9,10,12,13],[3,4,7,8,10,11,14],[3,5,6,8,9,11,12],[3,5,6,8,11,13,14]]; G[812]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 813: autom. group order 2, simple B[813]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,12,14],[1,5,7,9,10,11,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,6,10,11,13],[2,4,7,8,9,11,12],[2,4,7,8,12,13,14],[2,5,6,7,9,12,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,7,10,12,13],[3,4,6,7,9,11,14],[3,4,6,9,10,12,13],[3,4,7,8,10,11,14],[3,5,6,8,9,11,12],[3,5,6,8,11,13,14]]; G[813]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 814: autom. group order 2, simple B[814]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,11,13],[1,5,7,9,10,12,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,10,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,11,14],[2,5,6,8,9,12,13],[2,5,7,9,10,11,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,9,10,12,14],[3,4,7,8,9,11,14],[3,5,6,8,10,11,14],[3,5,6,8,11,12,13]]; G[814]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 815: autom. group order 2, simple B[815]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,7,8,10,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,12,14],[2,5,6,8,9,12,13],[2,5,7,9,10,11,13],[3,4,5,7,10,12,13],[3,4,6,7,9,11,13],[3,4,6,9,10,12,14],[3,4,7,8,9,11,14],[3,5,6,8,10,11,13],[3,5,6,8,11,12,14]]; G[815]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 816: autom. group order 2, simple B[816]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,11,13],[1,5,7,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,10,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,11,14],[2,5,6,8,9,12,13],[2,5,7,9,10,11,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,9,10,12,14],[3,4,7,8,9,11,14],[3,5,6,8,10,11,14],[3,5,6,8,11,12,13]]; G[816]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 817: autom. group order 2, simple B[817]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,7,8,10,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,12,14],[2,5,6,8,9,12,13],[2,5,7,9,10,11,13],[3,4,5,7,10,12,13],[3,4,6,7,9,11,13],[3,4,6,9,10,12,14],[3,4,7,8,9,11,14],[3,5,6,8,10,11,13],[3,5,6,8,11,12,14]]; G[817]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 818: autom. group order 2, simple B[818]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,6,9,10,11,13],[1,5,7,9,10,12,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,7,8,10,11,12],[2,4,7,8,12,13,14],[2,5,6,7,9,11,14],[2,5,6,8,9,12,13],[2,5,7,9,10,11,14],[3,4,5,7,10,11,13],[3,4,6,7,9,12,14],[3,4,6,9,10,12,14],[3,4,7,8,9,11,13],[3,5,6,8,10,11,12],[3,5,6,8,11,13,14]]; G[818]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 819: autom. group order 2, simple B[819]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,11,13],[2,4,7,8,10,11,12],[2,4,7,8,12,13,14],[2,5,6,7,9,12,14],[2,5,6,8,9,12,13],[2,5,7,9,10,11,14],[3,4,5,7,10,12,13],[3,4,6,7,9,11,14],[3,4,6,9,10,12,14],[3,4,7,8,9,11,13],[3,5,6,8,10,11,12],[3,5,6,8,11,13,14]]; G[819]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 820: autom. group order 2, simple B[820]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,12,14],[1,5,7,9,10,11,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,7,8,10,11,14],[2,4,7,8,12,13,14],[2,5,6,7,9,11,14],[2,5,6,8,9,11,12],[2,5,7,9,10,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,14],[3,4,6,9,10,11,13],[3,4,7,8,9,11,12],[3,5,6,8,10,12,14],[3,5,6,8,11,13,14]]; G[820]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 821: autom. group order 2, simple B[821]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,12,14],[1,5,7,9,10,11,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,7,8,10,12,14],[2,4,7,8,11,13,14],[2,5,6,7,9,11,14],[2,5,6,8,9,11,12],[2,5,7,9,10,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,14],[3,4,6,9,10,11,13],[3,4,7,8,9,11,12],[3,5,6,8,10,11,14],[3,5,6,8,12,13,14]]; G[821]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 822: autom. group order 2, simple B[822]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,6,9,12,14],[2,4,7,8,9,11,13],[2,4,7,8,10,12,14],[2,5,6,7,10,11,14],[2,5,6,8,11,12,13],[2,5,7,9,10,12,13],[3,4,5,7,9,11,13],[3,4,6,7,10,12,13],[3,4,6,9,10,11,14],[3,4,7,8,11,12,14],[3,5,6,8,9,12,14],[3,5,6,8,10,11,13]]; G[822]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 823: autom. group order 2, simple B[823]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,6,9,12,14],[2,4,7,8,9,12,14],[2,4,7,8,10,11,13],[2,5,6,7,10,11,14],[2,5,6,8,11,12,13],[2,5,7,9,10,12,13],[3,4,5,7,9,11,13],[3,4,6,7,10,12,13],[3,4,6,9,10,11,14],[3,4,7,8,11,12,14],[3,5,6,8,9,11,13],[3,5,6,8,10,12,14]]; G[823]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 824: autom. group order 2, simple B[824]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,11,13],[1,5,7,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,6,9,12,14],[2,4,7,8,9,12,13],[2,4,7,8,11,12,14],[2,5,6,7,10,11,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,13],[3,4,5,7,9,11,13],[3,4,6,7,10,12,13],[3,4,6,9,10,12,14],[3,4,7,8,10,11,14],[3,5,6,8,9,11,14],[3,5,6,8,11,12,13]]; G[824]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 825: autom. group order 2, simple B[825]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,6,9,11,14],[2,4,7,8,9,12,14],[2,4,7,8,11,12,13],[2,5,6,7,10,12,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,13],[3,4,5,7,9,12,13],[3,4,6,7,10,11,13],[3,4,6,9,10,12,14],[3,4,7,8,10,11,14],[3,5,6,8,9,11,13],[3,5,6,8,11,12,14]]; G[825]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 826: autom. group order 2, simple B[826]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,11,13],[1,5,7,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,6,9,12,14],[2,4,7,8,10,12,13],[2,4,7,8,11,12,14],[2,5,6,7,10,11,14],[2,5,6,8,9,12,13],[2,5,7,9,10,11,13],[3,4,5,7,9,11,13],[3,4,6,7,10,12,13],[3,4,6,9,10,12,14],[3,4,7,8,9,11,14],[3,5,6,8,10,11,14],[3,5,6,8,11,12,13]]; G[826]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 827: autom. group order 2, simple B[827]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,6,9,11,14],[2,4,7,8,10,12,14],[2,4,7,8,11,12,13],[2,5,6,7,10,12,14],[2,5,6,8,9,12,13],[2,5,7,9,10,11,13],[3,4,5,7,9,12,13],[3,4,6,7,10,11,13],[3,4,6,9,10,12,14],[3,4,7,8,9,11,14],[3,5,6,8,10,11,13],[3,5,6,8,11,12,14]]; G[827]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 828: autom. group order 2, simple, residual B[828]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,10,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,9,12,13,14],[1,4,5,7,8,10,13],[1,4,5,10,11,12,14],[1,4,6,7,8,12,14],[1,5,7,8,9,11,14],[1,6,7,9,10,12,13],[1,6,8,9,10,11,13],[2,3,7,8,10,13,14],[2,4,5,6,10,12,13],[2,4,7,9,10,11,14],[2,4,8,9,10,12,14],[2,5,6,7,9,11,12],[2,5,6,8,9,13,14],[2,5,7,8,11,12,13],[3,4,5,9,10,11,13],[3,4,6,7,9,13,14],[3,4,6,8,9,11,12],[3,4,7,8,11,12,13],[3,5,6,7,10,11,14],[3,5,6,8,10,12,14]]; G[828]:=Group([(2,3)(4,5)(6,9)(7,8)(11,12)]); # Design 829: autom. group order 2, simple, residual B[829]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,10,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,9,12,13,14],[1,4,5,7,8,10,13],[1,4,5,10,11,12,14],[1,4,6,7,8,12,14],[1,5,7,8,9,11,14],[1,6,7,9,10,12,13],[1,6,8,9,10,11,13],[2,3,7,8,10,13,14],[2,4,5,6,10,12,13],[2,4,7,9,10,11,14],[2,4,8,9,10,12,14],[2,5,6,7,9,13,14],[2,5,6,8,9,11,12],[2,5,7,8,11,12,13],[3,4,5,9,10,11,13],[3,4,6,7,9,11,12],[3,4,6,8,9,13,14],[3,4,7,8,11,12,13],[3,5,6,7,10,11,14],[3,5,6,8,10,12,14]]; G[829]:=Group([(2,3)(4,5)(6,9)(7,8)(11,12)]); # Design 830: autom. group order 2, simple, residual B[830]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,10,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,8,12,13,14],[1,4,5,7,9,10,13],[1,4,5,10,11,12,14],[1,4,6,7,9,12,14],[1,5,7,8,9,11,14],[1,6,7,8,10,12,13],[1,6,8,9,10,11,13],[2,3,7,9,10,13,14],[2,4,5,8,10,11,13],[2,4,6,8,9,11,12],[2,4,7,8,10,12,14],[2,5,6,7,8,13,14],[2,5,6,9,10,12,14],[2,5,7,9,11,12,13],[3,4,5,6,10,12,13],[3,4,6,8,9,13,14],[3,4,7,8,10,11,14],[3,4,7,9,11,12,13],[3,5,6,7,8,11,12],[3,5,6,9,10,11,14]]; G[830]:=Group([(2,3)(4,5)(6,8)(7,9)(11,12)]); # Design 831: autom. group order 2, simple, residual B[831]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,10,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,8,12,13,14],[1,4,5,7,9,10,13],[1,4,5,10,11,12,14],[1,4,6,7,9,12,14],[1,5,7,8,9,11,14],[1,6,7,8,10,12,13],[1,6,8,9,10,11,13],[2,3,7,9,10,13,14],[2,4,5,8,10,11,13],[2,4,6,8,9,13,14],[2,4,7,8,10,12,14],[2,5,6,7,8,11,12],[2,5,6,9,10,12,14],[2,5,7,9,11,12,13],[3,4,5,6,10,12,13],[3,4,6,8,9,11,12],[3,4,7,8,10,11,14],[3,4,7,9,11,12,13],[3,5,6,7,8,13,14],[3,5,6,9,10,11,14]]; G[831]:=Group([(2,3)(4,5)(6,8)(7,9)(11,12)]); # Design 832: autom. group order 2, simple, residual B[832]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,6,9,12,13],[1,3,5,7,9,12,14],[1,4,5,8,11,12,13],[1,4,5,9,10,11,14],[1,4,6,10,11,12,14],[1,5,7,8,10,11,13],[1,6,7,8,9,10,13],[1,6,7,8,9,12,14],[2,3,8,9,10,11,12],[2,4,5,7,8,10,12],[2,4,6,7,8,11,14],[2,4,7,9,11,13,14],[2,5,6,7,9,10,11],[2,5,6,8,12,13,14],[2,5,9,10,12,13,14],[3,4,5,6,10,13,14],[3,4,6,8,9,10,13],[3,4,7,8,10,12,14],[3,4,7,9,11,12,13],[3,5,6,7,11,12,13],[3,5,6,8,9,11,14]]; G[832]:=Group([(1,13)(3,14)(4,12)(6,9)(7,10)]); # Design 833: autom. group order 2, simple B[833]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,6,9,12,13],[1,3,5,7,9,12,14],[1,4,5,8,11,12,13],[1,4,5,9,10,11,14],[1,4,6,8,10,12,14],[1,5,7,8,10,11,13],[1,6,7,8,9,10,13],[1,6,7,9,11,12,14],[2,3,8,9,10,11,12],[2,4,5,7,10,11,12],[2,4,6,7,8,11,14],[2,4,7,9,11,13,14],[2,5,6,7,8,9,10],[2,5,6,8,12,13,14],[2,5,9,10,12,13,14],[3,4,5,6,10,13,14],[3,4,6,9,10,11,13],[3,4,7,8,9,12,13],[3,4,7,8,10,12,14],[3,5,6,7,11,12,13],[3,5,6,8,9,11,14]]; G[833]:=Group([(1,13)(3,14)(4,12)(6,9)(7,10)]); # Design 834: autom. group order 2, simple B[834]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,6,9,12,13],[1,3,5,9,11,12,14],[1,4,5,7,10,12,13],[1,4,5,9,10,11,14],[1,4,6,7,8,12,14],[1,5,7,8,10,11,13],[1,6,7,8,9,11,13],[1,6,8,9,10,12,14],[2,3,7,8,9,10,12],[2,4,5,8,10,11,12],[2,4,6,7,10,11,14],[2,4,8,9,10,13,14],[2,5,6,7,8,9,11],[2,5,6,11,12,13,14],[2,5,7,9,12,13,14],[3,4,5,6,8,13,14],[3,4,6,9,10,11,13],[3,4,7,8,11,12,14],[3,4,7,9,11,12,13],[3,5,6,7,9,10,14],[3,5,6,8,10,12,13]]; G[834]:=Group([(1,13)(3,14)(4,12)(6,9)(8,11)]); # Design 835: autom. group order 2, simple, residual B[835]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,10,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,9,12,13,14],[1,4,5,7,8,10,13],[1,4,5,10,11,12,14],[1,4,6,7,8,12,14],[1,5,7,8,9,11,14],[1,6,7,9,10,12,13],[1,6,8,9,10,11,13],[2,3,7,8,10,13,14],[2,4,5,9,10,11,13],[2,4,6,7,9,11,12],[2,4,8,9,10,12,14],[2,5,6,7,9,13,14],[2,5,6,8,10,12,14],[2,5,7,8,11,12,13],[3,4,5,6,10,12,13],[3,4,6,8,9,13,14],[3,4,7,8,11,12,13],[3,4,7,9,10,11,14],[3,5,6,7,10,11,14],[3,5,6,8,9,11,12]]; G[835]:=Group([(2,3)(4,5)(6,9)(7,8)(11,12)]); # Design 836: autom. group order 2, simple, residual B[836]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,10,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,9,12,13,14],[1,4,5,7,8,10,13],[1,4,5,10,11,12,14],[1,4,6,7,8,12,14],[1,5,7,8,9,11,14],[1,6,7,9,10,12,13],[1,6,8,9,10,11,13],[2,3,7,8,10,13,14],[2,4,5,9,10,11,13],[2,4,6,7,9,13,14],[2,4,8,9,10,12,14],[2,5,6,7,9,11,12],[2,5,6,8,10,12,14],[2,5,7,8,11,12,13],[3,4,5,6,10,12,13],[3,4,6,8,9,11,12],[3,4,7,8,11,12,13],[3,4,7,9,10,11,14],[3,5,6,7,10,11,14],[3,5,6,8,9,13,14]]; G[836]:=Group([(2,3)(4,5)(6,9)(7,8)(11,12)]); # Design 837: autom. group order 2, simple B[837]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,10,12,14],[1,3,5,9,12,13,14],[1,4,5,7,11,12,13],[1,4,5,8,10,11,14],[1,4,6,8,11,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,10,13],[1,6,7,8,9,12,14],[2,3,7,8,11,12,14],[2,4,5,7,9,10,12],[2,4,6,7,9,13,14],[2,4,8,9,10,11,13],[2,5,6,7,8,11,14],[2,5,6,9,11,12,13],[2,5,8,10,12,13,14],[3,4,5,6,8,13,14],[3,4,6,9,10,11,14],[3,4,7,8,9,11,12],[3,4,7,10,12,13,14],[3,5,6,7,10,11,13],[3,5,6,8,9,10,12]]; G[837]:=Group([(2,3)(4,5)(6,9)(7,8)(10,13)(12,14)]); # Design 838: autom. group order 2, simple B[838]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,10,12,14],[1,3,5,9,12,13,14],[1,4,5,7,11,13,14],[1,4,5,8,10,11,12],[1,4,6,8,11,13,14],[1,5,7,9,10,11,12],[1,6,7,8,9,10,13],[1,6,7,8,9,12,14],[2,3,7,8,11,12,14],[2,4,5,7,9,10,14],[2,4,6,7,9,12,13],[2,4,8,9,10,11,13],[2,5,6,7,8,11,14],[2,5,6,9,11,12,13],[2,5,8,10,12,13,14],[3,4,5,6,8,12,13],[3,4,6,9,10,11,14],[3,4,7,8,9,11,12],[3,4,7,10,12,13,14],[3,5,6,7,10,11,13],[3,5,6,8,9,10,14]]; G[838]:=Group([(2,3)(4,5)(6,9)(7,8)(10,13)(12,14)]); # Design 839: autom. group order 2, simple, residual B[839]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,6,9,12,13],[1,3,5,9,11,12,14],[1,4,5,7,10,12,13],[1,4,5,9,10,11,14],[1,4,6,8,10,12,14],[1,5,7,8,10,11,13],[1,6,7,8,9,11,13],[1,6,7,8,9,12,14],[2,3,7,8,9,10,12],[2,4,5,7,8,11,12],[2,4,6,7,10,11,14],[2,4,8,9,10,13,14],[2,5,6,8,9,10,11],[2,5,6,11,12,13,14],[2,5,7,9,12,13,14],[3,4,5,6,8,13,14],[3,4,6,7,9,11,13],[3,4,7,8,11,12,14],[3,4,9,10,11,12,13],[3,5,6,7,9,10,14],[3,5,6,8,10,12,13]]; G[839]:=Group([(1,13)(3,14)(4,12)(6,9)(8,11)]); # Design 840: autom. group order 2, simple B[840]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,10,12,14],[1,3,5,9,12,13,14],[1,4,5,7,11,13,14],[1,4,5,8,10,11,12],[1,4,6,8,11,13,14],[1,5,7,9,10,11,12],[1,6,7,8,9,10,13],[1,6,7,8,9,12,14],[2,3,7,8,11,12,14],[2,4,5,8,9,10,14],[2,4,6,9,11,12,13],[2,4,7,9,10,11,13],[2,5,6,7,8,11,14],[2,5,6,8,9,12,13],[2,5,7,10,12,13,14],[3,4,5,6,7,12,13],[3,4,6,7,9,10,14],[3,4,7,8,9,11,12],[3,4,8,10,12,13,14],[3,5,6,8,10,11,13],[3,5,6,9,10,11,14]]; G[840]:=Group([(2,3)(4,5)(6,9)(7,8)(10,13)(12,14)]); # Design 841: autom. group order 2, simple, residual B[841]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,13],[1,5,6,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,6,7,8,9,13],[2,4,7,9,10,12,14],[2,5,6,9,11,12,13],[2,5,7,8,10,11,12],[2,5,7,8,11,13,14],[3,4,5,7,10,12,14],[3,4,6,8,10,11,13],[3,4,6,8,11,12,14],[3,4,7,9,11,12,13],[3,5,6,7,8,9,12],[3,5,6,9,10,13,14]]; G[841]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 842: autom. group order 2, simple, residual B[842]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,13],[1,5,6,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,6,7,8,9,13],[2,4,7,9,10,12,14],[2,5,6,9,11,12,13],[2,5,7,8,10,11,13],[2,5,7,8,11,12,14],[3,4,5,7,10,12,14],[3,4,6,8,10,11,12],[3,4,6,8,11,13,14],[3,4,7,9,11,12,13],[3,5,6,7,8,9,12],[3,5,6,9,10,13,14]]; G[842]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 843: autom. group order 2, simple, residual B[843]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,12],[1,5,6,9,10,11,13],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,6,7,8,9,13],[2,4,7,9,11,12,13],[2,5,6,9,10,12,14],[2,5,7,8,10,11,12],[2,5,7,8,11,13,14],[3,4,5,7,10,12,14],[3,4,6,8,10,11,13],[3,4,6,8,11,12,14],[3,4,7,9,10,13,14],[3,5,6,7,8,9,12],[3,5,6,9,11,12,13]]; G[843]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 844: autom. group order 2, simple, residual B[844]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,12],[1,5,6,9,10,11,13],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,6,7,8,9,13],[2,4,7,9,11,12,13],[2,5,6,9,10,12,14],[2,5,7,8,10,11,13],[2,5,7,8,11,12,14],[3,4,5,7,10,12,14],[3,4,6,8,10,11,12],[3,4,6,8,11,13,14],[3,4,7,9,10,13,14],[3,5,6,7,8,9,12],[3,5,6,9,11,12,13]]; G[844]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 845: autom. group order 2, simple, residual B[845]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,10,13],[2,4,6,7,8,13,14],[2,4,7,9,11,12,14],[2,5,6,10,11,12,13],[2,5,7,8,9,11,12],[2,5,7,8,10,13,14],[3,4,5,7,9,10,12],[3,4,6,8,9,11,13],[3,4,6,8,10,12,14],[3,4,7,10,11,12,13],[3,5,6,7,8,12,14],[3,5,6,9,11,13,14]]; G[845]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 846: autom. group order 2, simple, residual B[846]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,10,13],[2,4,6,7,8,13,14],[2,4,7,9,11,12,14],[2,5,6,10,11,12,13],[2,5,7,8,9,11,13],[2,5,7,8,10,12,14],[3,4,5,7,9,10,12],[3,4,6,8,9,11,12],[3,4,6,8,10,13,14],[3,4,7,10,11,12,13],[3,5,6,7,8,12,14],[3,5,6,9,11,13,14]]; G[846]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 847: autom. group order 2, simple, residual B[847]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,9,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,10,13],[2,4,6,7,8,13,14],[2,4,7,10,11,12,13],[2,5,6,9,11,12,14],[2,5,7,8,9,11,12],[2,5,7,8,10,13,14],[3,4,5,7,9,10,12],[3,4,6,8,9,11,13],[3,4,6,8,10,12,14],[3,4,7,9,11,13,14],[3,5,6,7,8,12,14],[3,5,6,10,11,12,13]]; G[847]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 848: autom. group order 2, simple, residual B[848]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,9,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,10,13],[2,4,6,7,8,13,14],[2,4,7,10,11,12,13],[2,5,6,9,11,12,14],[2,5,7,8,9,11,13],[2,5,7,8,10,12,14],[3,4,5,7,9,10,12],[3,4,6,8,9,11,12],[3,4,6,8,10,13,14],[3,4,7,9,11,13,14],[3,5,6,7,8,12,14],[3,5,6,10,11,12,13]]; G[848]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 849: autom. group order 2, simple, residual B[849]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,12],[1,5,6,9,10,11,13],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,12,14],[2,4,6,7,8,9,13],[2,4,7,9,10,13,14],[2,5,6,8,10,11,13],[2,5,7,8,11,12,14],[2,5,7,9,11,12,13],[3,4,5,7,10,13,14],[3,4,6,8,11,13,14],[3,4,6,9,11,12,13],[3,4,7,8,10,11,12],[3,5,6,7,8,9,12],[3,5,6,9,10,12,14]]; G[849]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 850: autom. group order 2, simple, residual B[850]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,13],[1,5,6,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,6,7,8,9,12],[2,4,7,9,10,13,14],[2,5,6,8,10,11,13],[2,5,7,8,11,12,14],[2,5,7,9,11,12,13],[3,4,5,7,10,12,14],[3,4,6,8,11,13,14],[3,4,6,9,11,12,13],[3,4,7,8,10,11,12],[3,5,6,7,8,9,13],[3,5,6,9,10,12,14]]; G[850]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 851: autom. group order 2, simple, residual B[851]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,12],[1,5,6,9,10,11,13],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,12,14],[2,4,6,7,8,9,13],[2,4,7,9,10,13,14],[2,5,6,8,11,13,14],[2,5,7,8,10,11,12],[2,5,7,9,11,12,13],[3,4,5,7,10,13,14],[3,4,6,8,10,11,13],[3,4,6,9,11,12,13],[3,4,7,8,11,12,14],[3,5,6,7,8,9,12],[3,5,6,9,10,12,14]]; G[851]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 852: autom. group order 2, simple, residual B[852]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,13],[1,5,6,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,6,7,8,9,12],[2,4,7,9,10,13,14],[2,5,6,8,11,13,14],[2,5,7,8,10,11,12],[2,5,7,9,11,12,13],[3,4,5,7,10,12,14],[3,4,6,8,10,11,13],[3,4,6,9,11,12,13],[3,4,7,8,11,12,14],[3,5,6,7,8,9,13],[3,5,6,9,10,12,14]]; G[852]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 853: autom. group order 2, simple, residual B[853]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,12],[1,5,6,9,10,11,13],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,6,7,8,9,13],[2,4,7,9,11,12,13],[2,5,6,8,10,11,12],[2,5,7,8,11,12,14],[2,5,7,9,10,13,14],[3,4,5,7,10,12,14],[3,4,6,8,11,13,14],[3,4,6,9,10,12,14],[3,4,7,8,10,11,13],[3,5,6,7,8,9,12],[3,5,6,9,11,12,13]]; G[853]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 854: autom. group order 2, simple, residual B[854]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,12],[1,5,6,9,10,11,13],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,6,7,8,9,13],[2,4,7,9,11,12,13],[2,5,6,8,10,11,12],[2,5,7,8,11,13,14],[2,5,7,9,10,12,14],[3,4,5,7,10,12,14],[3,4,6,8,11,12,14],[3,4,6,9,10,13,14],[3,4,7,8,10,11,13],[3,5,6,7,8,9,12],[3,5,6,9,11,12,13]]; G[854]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 855: autom. group order 2, simple, residual B[855]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,12],[1,5,6,9,10,11,13],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,6,7,8,9,13],[2,4,7,9,11,12,13],[2,5,6,8,11,12,14],[2,5,7,8,10,11,12],[2,5,7,9,10,13,14],[3,4,5,7,10,12,14],[3,4,6,8,10,11,13],[3,4,6,9,10,12,14],[3,4,7,8,11,13,14],[3,5,6,7,8,9,12],[3,5,6,9,11,12,13]]; G[855]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 856: autom. group order 2, simple, residual B[856]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,12],[1,5,6,9,10,11,13],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,6,7,8,9,13],[2,4,7,9,11,12,13],[2,5,6,8,11,12,14],[2,5,7,8,10,11,13],[2,5,7,9,10,12,14],[3,4,5,7,10,12,14],[3,4,6,8,10,11,12],[3,4,6,9,10,13,14],[3,4,7,8,11,13,14],[3,5,6,7,8,9,12],[3,5,6,9,11,12,13]]; G[856]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 857: autom. group order 2, simple, residual B[857]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,9,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,10,12],[2,4,6,7,8,13,14],[2,4,7,9,11,13,14],[2,5,6,8,9,11,13],[2,5,7,8,10,12,14],[2,5,7,10,11,12,13],[3,4,5,7,9,10,13],[3,4,6,8,10,13,14],[3,4,6,10,11,12,13],[3,4,7,8,9,11,12],[3,5,6,7,8,12,14],[3,5,6,9,11,12,14]]; G[857]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 858: autom. group order 2, simple, residual B[858]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,10,13],[2,4,6,7,8,12,14],[2,4,7,9,11,13,14],[2,5,6,8,9,11,13],[2,5,7,8,10,12,14],[2,5,7,10,11,12,13],[3,4,5,7,9,10,12],[3,4,6,8,10,13,14],[3,4,6,10,11,12,13],[3,4,7,8,9,11,12],[3,5,6,7,8,13,14],[3,5,6,9,11,12,14]]; G[858]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 859: autom. group order 2, simple, residual B[859]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,9,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,10,12],[2,4,6,7,8,13,14],[2,4,7,9,11,13,14],[2,5,6,8,10,13,14],[2,5,7,8,9,11,12],[2,5,7,10,11,12,13],[3,4,5,7,9,10,13],[3,4,6,8,9,11,13],[3,4,6,10,11,12,13],[3,4,7,8,10,12,14],[3,5,6,7,8,12,14],[3,5,6,9,11,12,14]]; G[859]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 860: autom. group order 2, simple, residual B[860]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,10,13],[2,4,6,7,8,12,14],[2,4,7,9,11,13,14],[2,5,6,8,10,13,14],[2,5,7,8,9,11,12],[2,5,7,10,11,12,13],[3,4,5,7,9,10,12],[3,4,6,8,9,11,13],[3,4,6,10,11,12,13],[3,4,7,8,10,12,14],[3,5,6,7,8,13,14],[3,5,6,9,11,12,14]]; G[860]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 861: autom. group order 2, simple, residual B[861]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,9,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,10,13],[2,4,6,7,8,13,14],[2,4,7,10,11,12,13],[2,5,6,8,9,11,12],[2,5,7,8,10,12,14],[2,5,7,9,11,13,14],[3,4,5,7,9,10,12],[3,4,6,8,10,13,14],[3,4,6,9,11,12,14],[3,4,7,8,9,11,13],[3,5,6,7,8,12,14],[3,5,6,10,11,12,13]]; G[861]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 862: autom. group order 2, simple, residual B[862]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,9,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,10,13],[2,4,6,7,8,13,14],[2,4,7,10,11,12,13],[2,5,6,8,9,11,12],[2,5,7,8,10,13,14],[2,5,7,9,11,12,14],[3,4,5,7,9,10,12],[3,4,6,8,10,12,14],[3,4,6,9,11,13,14],[3,4,7,8,9,11,13],[3,5,6,7,8,12,14],[3,5,6,10,11,12,13]]; G[862]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 863: autom. group order 2, simple, residual B[863]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,9,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,10,13],[2,4,6,7,8,13,14],[2,4,7,10,11,12,13],[2,5,6,8,10,12,14],[2,5,7,8,9,11,12],[2,5,7,9,11,13,14],[3,4,5,7,9,10,12],[3,4,6,8,9,11,13],[3,4,6,9,11,12,14],[3,4,7,8,10,13,14],[3,5,6,7,8,12,14],[3,5,6,10,11,12,13]]; G[863]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 864: autom. group order 2, simple, residual B[864]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,9,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,10,13],[2,4,6,7,8,13,14],[2,4,7,10,11,12,13],[2,5,6,8,10,12,14],[2,5,7,8,9,11,13],[2,5,7,9,11,12,14],[3,4,5,7,9,10,12],[3,4,6,8,9,11,12],[3,4,6,9,11,13,14],[3,4,7,8,10,13,14],[3,5,6,7,8,12,14],[3,5,6,10,11,12,13]]; G[864]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 865: autom. group order 2, simple, residual B[865]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,12],[1,5,6,9,10,11,13],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,12,14],[2,4,6,7,8,9,13],[2,4,7,8,10,11,13],[2,5,6,9,10,13,14],[2,5,7,8,11,12,14],[2,5,7,9,11,12,13],[3,4,5,7,10,13,14],[3,4,6,8,11,13,14],[3,4,6,9,11,12,13],[3,4,7,9,10,12,14],[3,5,6,7,8,9,12],[3,5,6,8,10,11,12]]; G[865]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 866: autom. group order 2, simple, residual B[866]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,13],[1,5,6,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,6,7,8,9,12],[2,4,7,8,10,11,13],[2,5,6,9,10,13,14],[2,5,7,8,11,12,14],[2,5,7,9,11,12,13],[3,4,5,7,10,12,14],[3,4,6,8,11,13,14],[3,4,6,9,11,12,13],[3,4,7,9,10,12,14],[3,5,6,7,8,9,13],[3,5,6,8,10,11,12]]; G[866]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 867: autom. group order 2, simple, residual B[867]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,13],[1,5,6,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,6,7,8,9,13],[2,4,7,8,10,11,12],[2,5,6,9,11,12,13],[2,5,7,8,11,12,14],[2,5,7,9,10,13,14],[3,4,5,7,10,12,14],[3,4,6,8,11,13,14],[3,4,6,9,10,12,14],[3,4,7,9,11,12,13],[3,5,6,7,8,9,12],[3,5,6,8,10,11,13]]; G[867]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 868: autom. group order 2, simple, residual B[868]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,13],[1,5,6,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,6,7,8,9,13],[2,4,7,8,10,11,12],[2,5,6,9,11,12,13],[2,5,7,8,11,13,14],[2,5,7,9,10,12,14],[3,4,5,7,10,12,14],[3,4,6,8,11,12,14],[3,4,6,9,10,13,14],[3,4,7,9,11,12,13],[3,5,6,7,8,9,12],[3,5,6,8,10,11,13]]; G[868]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 869: autom. group order 2, simple, residual B[869]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,12],[1,5,6,9,10,11,13],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,12,14],[2,4,6,7,8,9,13],[2,4,7,8,11,13,14],[2,5,6,9,10,13,14],[2,5,7,8,10,11,12],[2,5,7,9,11,12,13],[3,4,5,7,10,13,14],[3,4,6,8,10,11,13],[3,4,6,9,11,12,13],[3,4,7,9,10,12,14],[3,5,6,7,8,9,12],[3,5,6,8,11,12,14]]; G[869]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 870: autom. group order 2, simple, residual B[870]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,13],[1,5,6,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,6,7,8,9,12],[2,4,7,8,11,13,14],[2,5,6,9,10,13,14],[2,5,7,8,10,11,12],[2,5,7,9,11,12,13],[3,4,5,7,10,12,14],[3,4,6,8,10,11,13],[3,4,6,9,11,12,13],[3,4,7,9,10,12,14],[3,5,6,7,8,9,13],[3,5,6,8,11,12,14]]; G[870]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 871: autom. group order 2, simple, residual B[871]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,13],[1,5,6,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,6,7,8,9,13],[2,4,7,8,11,12,14],[2,5,6,9,11,12,13],[2,5,7,8,10,11,12],[2,5,7,9,10,13,14],[3,4,5,7,10,12,14],[3,4,6,8,10,11,13],[3,4,6,9,10,12,14],[3,4,7,9,11,12,13],[3,5,6,7,8,9,12],[3,5,6,8,11,13,14]]; G[871]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 872: autom. group order 2, simple, residual B[872]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,13],[1,5,6,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,6,7,8,9,13],[2,4,7,8,11,12,14],[2,5,6,9,11,12,13],[2,5,7,8,10,11,13],[2,5,7,9,10,12,14],[3,4,5,7,10,12,14],[3,4,6,8,10,11,12],[3,4,6,9,10,13,14],[3,4,7,9,11,12,13],[3,5,6,7,8,9,12],[3,5,6,8,11,13,14]]; G[872]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 873: autom. group order 2, simple, residual B[873]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,9,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,10,12],[2,4,6,7,8,13,14],[2,4,7,8,9,11,13],[2,5,6,9,11,13,14],[2,5,7,8,10,12,14],[2,5,7,10,11,12,13],[3,4,5,7,9,10,13],[3,4,6,8,10,13,14],[3,4,6,10,11,12,13],[3,4,7,9,11,12,14],[3,5,6,7,8,12,14],[3,5,6,8,9,11,12]]; G[873]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 874: autom. group order 2, simple, residual B[874]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,10,13],[2,4,6,7,8,12,14],[2,4,7,8,9,11,13],[2,5,6,9,11,13,14],[2,5,7,8,10,12,14],[2,5,7,10,11,12,13],[3,4,5,7,9,10,12],[3,4,6,8,10,13,14],[3,4,6,10,11,12,13],[3,4,7,9,11,12,14],[3,5,6,7,8,13,14],[3,5,6,8,9,11,12]]; G[874]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 875: autom. group order 2, simple, residual B[875]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,10,13],[2,4,6,7,8,13,14],[2,4,7,8,9,11,12],[2,5,6,10,11,12,13],[2,5,7,8,10,12,14],[2,5,7,9,11,13,14],[3,4,5,7,9,10,12],[3,4,6,8,10,13,14],[3,4,6,9,11,12,14],[3,4,7,10,11,12,13],[3,5,6,7,8,12,14],[3,5,6,8,9,11,13]]; G[875]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 876: autom. group order 2, simple, residual B[876]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,10,13],[2,4,6,7,8,13,14],[2,4,7,8,9,11,12],[2,5,6,10,11,12,13],[2,5,7,8,10,13,14],[2,5,7,9,11,12,14],[3,4,5,7,9,10,12],[3,4,6,8,10,12,14],[3,4,6,9,11,13,14],[3,4,7,10,11,12,13],[3,5,6,7,8,12,14],[3,5,6,8,9,11,13]]; G[876]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 877: autom. group order 2, simple, residual B[877]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,9,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,10,12],[2,4,6,7,8,13,14],[2,4,7,8,10,13,14],[2,5,6,9,11,13,14],[2,5,7,8,9,11,12],[2,5,7,10,11,12,13],[3,4,5,7,9,10,13],[3,4,6,8,9,11,13],[3,4,6,10,11,12,13],[3,4,7,9,11,12,14],[3,5,6,7,8,12,14],[3,5,6,8,10,12,14]]; G[877]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 878: autom. group order 2, simple, residual B[878]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,10,13],[2,4,6,7,8,12,14],[2,4,7,8,10,13,14],[2,5,6,9,11,13,14],[2,5,7,8,9,11,12],[2,5,7,10,11,12,13],[3,4,5,7,9,10,12],[3,4,6,8,9,11,13],[3,4,6,10,11,12,13],[3,4,7,9,11,12,14],[3,5,6,7,8,13,14],[3,5,6,8,10,12,14]]; G[878]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 879: autom. group order 2, simple, residual B[879]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,10,13],[2,4,6,7,8,13,14],[2,4,7,8,10,12,14],[2,5,6,10,11,12,13],[2,5,7,8,9,11,12],[2,5,7,9,11,13,14],[3,4,5,7,9,10,12],[3,4,6,8,9,11,13],[3,4,6,9,11,12,14],[3,4,7,10,11,12,13],[3,5,6,7,8,12,14],[3,5,6,8,10,13,14]]; G[879]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 880: autom. group order 2, simple, residual B[880]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,10,13],[2,4,6,7,8,13,14],[2,4,7,8,10,12,14],[2,5,6,10,11,12,13],[2,5,7,8,9,11,13],[2,5,7,9,11,12,14],[3,4,5,7,9,10,12],[3,4,6,8,9,11,12],[3,4,6,9,11,13,14],[3,4,7,10,11,12,13],[3,5,6,7,8,12,14],[3,5,6,8,10,13,14]]; G[880]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 881: autom. group order 2, simple, residual B[881]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,12],[1,5,6,9,10,11,13],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,12,14],[2,4,6,7,8,9,13],[2,4,7,8,10,11,13],[2,5,6,8,11,13,14],[2,5,7,9,10,12,14],[2,5,7,9,11,12,13],[3,4,5,7,10,13,14],[3,4,6,9,10,13,14],[3,4,6,9,11,12,13],[3,4,7,8,11,12,14],[3,5,6,7,8,9,12],[3,5,6,8,10,11,12]]; G[881]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 882: autom. group order 2, simple, residual B[882]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,13],[1,5,6,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,6,7,8,9,12],[2,4,7,8,10,11,13],[2,5,6,8,11,13,14],[2,5,7,9,10,12,14],[2,5,7,9,11,12,13],[3,4,5,7,10,12,14],[3,4,6,9,10,13,14],[3,4,6,9,11,12,13],[3,4,7,8,11,12,14],[3,5,6,7,8,9,13],[3,5,6,8,10,11,12]]; G[882]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 883: autom. group order 2, simple, residual B[883]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,12],[1,5,6,9,10,11,13],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,12,14],[2,4,6,7,8,9,13],[2,4,7,8,11,13,14],[2,5,6,8,10,11,13],[2,5,7,9,10,12,14],[2,5,7,9,11,12,13],[3,4,5,7,10,13,14],[3,4,6,9,10,13,14],[3,4,6,9,11,12,13],[3,4,7,8,10,11,12],[3,5,6,7,8,9,12],[3,5,6,8,11,12,14]]; G[883]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 884: autom. group order 2, simple, residual B[884]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,13],[1,5,6,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,6,7,8,9,12],[2,4,7,8,11,13,14],[2,5,6,8,10,11,13],[2,5,7,9,10,12,14],[2,5,7,9,11,12,13],[3,4,5,7,10,12,14],[3,4,6,9,10,13,14],[3,4,6,9,11,12,13],[3,4,7,8,10,11,12],[3,5,6,7,8,9,13],[3,5,6,8,11,12,14]]; G[884]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 885: autom. group order 2, simple, residual B[885]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,9,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,10,12],[2,4,6,7,8,13,14],[2,4,7,8,9,11,13],[2,5,6,8,10,13,14],[2,5,7,9,11,12,14],[2,5,7,10,11,12,13],[3,4,5,7,9,10,13],[3,4,6,9,11,13,14],[3,4,6,10,11,12,13],[3,4,7,8,10,12,14],[3,5,6,7,8,12,14],[3,5,6,8,9,11,12]]; G[885]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 886: autom. group order 2, simple, residual B[886]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,10,13],[2,4,6,7,8,12,14],[2,4,7,8,9,11,13],[2,5,6,8,10,13,14],[2,5,7,9,11,12,14],[2,5,7,10,11,12,13],[3,4,5,7,9,10,12],[3,4,6,9,11,13,14],[3,4,6,10,11,12,13],[3,4,7,8,10,12,14],[3,5,6,7,8,13,14],[3,5,6,8,9,11,12]]; G[886]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 887: autom. group order 2, simple, residual B[887]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,9,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,10,12],[2,4,6,7,8,13,14],[2,4,7,8,10,13,14],[2,5,6,8,9,11,13],[2,5,7,9,11,12,14],[2,5,7,10,11,12,13],[3,4,5,7,9,10,13],[3,4,6,9,11,13,14],[3,4,6,10,11,12,13],[3,4,7,8,9,11,12],[3,5,6,7,8,12,14],[3,5,6,8,10,12,14]]; G[887]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 888: autom. group order 2, simple, residual B[888]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,10,13],[2,4,6,7,8,12,14],[2,4,7,8,10,13,14],[2,5,6,8,9,11,13],[2,5,7,9,11,12,14],[2,5,7,10,11,12,13],[3,4,5,7,9,10,12],[3,4,6,9,11,13,14],[3,4,6,10,11,12,13],[3,4,7,8,9,11,12],[3,5,6,7,8,13,14],[3,5,6,8,10,12,14]]; G[888]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 889: autom. group order 2, simple B[889]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,6,7,9,12,13],[2,4,7,8,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,13],[2,5,7,8,11,12,14],[3,4,5,7,10,12,13],[3,4,6,8,10,12,14],[3,4,6,8,11,12,13],[3,4,7,9,10,11,14],[3,5,6,7,9,11,14],[3,5,6,8,9,11,13]]; G[889]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 890: autom. group order 2, simple B[890]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,11,13],[2,4,7,8,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,6,8,10,12,13],[3,4,6,8,11,12,14],[3,4,7,9,10,11,14],[3,5,6,7,9,12,14],[3,5,6,8,9,11,13]]; G[890]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 891: autom. group order 2, simple B[891]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,6,7,9,12,13],[2,4,7,8,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,13],[2,5,7,8,11,12,14],[3,4,5,7,10,12,13],[3,4,6,8,10,12,14],[3,4,6,8,11,12,13],[3,4,7,9,10,11,14],[3,5,6,7,9,11,14],[3,5,6,8,9,11,13]]; G[891]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 892: autom. group order 2, simple B[892]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,11,13],[2,4,7,8,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,6,8,10,12,13],[3,4,6,8,11,12,14],[3,4,7,9,10,11,14],[3,5,6,7,9,12,14],[3,5,6,8,9,11,13]]; G[892]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 893: autom. group order 2, simple B[893]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,6,7,9,12,13],[2,4,7,8,10,12,14],[2,5,6,9,10,12,13],[2,5,7,8,9,11,13],[2,5,7,8,11,12,14],[3,4,5,7,10,12,13],[3,4,6,8,9,12,14],[3,4,6,8,11,12,13],[3,4,7,9,10,11,14],[3,5,6,7,9,11,14],[3,5,6,8,10,11,13]]; G[893]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 894: autom. group order 2, simple B[894]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,11,13],[2,4,7,8,10,12,14],[2,5,6,9,10,12,13],[2,5,7,8,9,11,14],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,6,8,9,12,13],[3,4,6,8,11,12,14],[3,4,7,9,10,11,14],[3,5,6,7,9,12,14],[3,5,6,8,10,11,13]]; G[894]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 895: autom. group order 2, simple B[895]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,6,7,9,12,13],[2,4,7,8,10,12,14],[2,5,6,9,10,12,13],[2,5,7,8,9,11,13],[2,5,7,8,11,12,14],[3,4,5,7,10,12,13],[3,4,6,8,9,12,14],[3,4,6,8,11,12,13],[3,4,7,9,10,11,14],[3,5,6,7,9,11,14],[3,5,6,8,10,11,13]]; G[895]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 896: autom. group order 2, simple B[896]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,11,13],[2,4,7,8,10,12,14],[2,5,6,9,10,12,13],[2,5,7,8,9,11,14],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,6,8,9,12,13],[3,4,6,8,11,12,14],[3,4,7,9,10,11,14],[3,5,6,7,9,12,14],[3,5,6,8,10,11,13]]; G[896]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 897: autom. group order 2, simple B[897]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,12,13],[2,4,7,8,11,12,14],[2,5,6,9,10,11,13],[2,5,7,8,9,11,14],[2,5,7,8,10,12,13],[3,4,5,7,10,11,13],[3,4,6,8,9,12,13],[3,4,6,8,10,11,14],[3,4,7,9,10,12,14],[3,5,6,7,9,11,14],[3,5,6,8,11,12,13]]; G[897]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 898: autom. group order 2, simple B[898]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,12,13],[2,4,7,8,11,12,14],[2,5,6,9,10,11,13],[2,5,7,8,9,12,13],[2,5,7,8,10,11,14],[3,4,5,7,10,11,13],[3,4,6,8,9,11,14],[3,4,6,8,10,12,13],[3,4,7,9,10,12,14],[3,5,6,7,9,11,14],[3,5,6,8,11,12,13]]; G[898]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 899: autom. group order 2, simple B[899]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,12,13],[2,4,7,8,11,12,14],[2,5,6,9,10,11,13],[2,5,7,8,9,11,14],[2,5,7,8,10,12,13],[3,4,5,7,10,11,13],[3,4,6,8,9,12,13],[3,4,6,8,10,11,14],[3,4,7,9,10,12,14],[3,5,6,7,9,11,14],[3,5,6,8,11,12,13]]; G[899]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 900: autom. group order 2, simple B[900]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,12,13],[2,4,7,8,11,12,14],[2,5,6,9,10,11,13],[2,5,7,8,9,12,13],[2,5,7,8,10,11,14],[3,4,5,7,10,11,13],[3,4,6,8,9,11,14],[3,4,6,8,10,12,13],[3,4,7,9,10,12,14],[3,5,6,7,9,11,14],[3,5,6,8,11,12,13]]; G[900]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 901: autom. group order 2, simple B[901]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,9,10,13,14],[1,4,7,8,9,11,13],[1,5,6,8,9,12,14],[1,6,7,8,10,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,6,7,9,12,13],[2,4,7,8,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,13],[2,5,7,8,11,12,14],[3,4,5,7,10,12,13],[3,4,6,8,10,12,14],[3,4,6,8,11,12,13],[3,4,7,9,10,11,14],[3,5,6,7,9,11,14],[3,5,6,8,9,11,13]]; G[901]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 902: autom. group order 2, simple B[902]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,9,10,13,14],[1,4,7,8,9,12,13],[1,5,6,8,9,11,14],[1,6,7,8,10,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,11,13],[2,4,7,8,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,6,8,10,12,13],[3,4,6,8,11,12,14],[3,4,7,9,10,11,14],[3,5,6,7,9,12,14],[3,5,6,8,9,11,13]]; G[902]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 903: autom. group order 2, simple B[903]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,13,14],[1,4,5,9,10,11,12],[1,4,7,8,9,11,13],[1,5,6,8,9,12,14],[1,6,7,8,10,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,6,7,9,12,13],[2,4,7,8,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,13],[2,5,7,8,11,12,14],[3,4,5,7,10,12,13],[3,4,6,8,10,12,14],[3,4,6,8,11,12,13],[3,4,7,9,10,11,14],[3,5,6,7,9,11,14],[3,5,6,8,9,11,13]]; G[903]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 904: autom. group order 2, simple B[904]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,13,14],[1,4,5,9,10,11,12],[1,4,7,8,9,12,13],[1,5,6,8,9,11,14],[1,6,7,8,10,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,11,13],[2,4,7,8,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,6,8,10,12,13],[3,4,6,8,11,12,14],[3,4,7,9,10,11,14],[3,5,6,7,9,12,14],[3,5,6,8,9,11,13]]; G[904]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 905: autom. group order 2, simple B[905]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,9,10,13,14],[1,4,7,8,9,11,13],[1,5,6,8,9,12,14],[1,6,7,8,10,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,6,7,9,12,13],[2,4,7,8,10,12,14],[2,5,6,9,10,12,13],[2,5,7,8,9,11,13],[2,5,7,8,11,12,14],[3,4,5,7,10,12,13],[3,4,6,8,9,12,14],[3,4,6,8,11,12,13],[3,4,7,9,10,11,14],[3,5,6,7,9,11,14],[3,5,6,8,10,11,13]]; G[905]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 906: autom. group order 2, simple B[906]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,9,10,13,14],[1,4,7,8,9,12,13],[1,5,6,8,9,11,14],[1,6,7,8,10,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,11,13],[2,4,7,8,10,12,14],[2,5,6,9,10,12,13],[2,5,7,8,9,11,14],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,6,8,9,12,13],[3,4,6,8,11,12,14],[3,4,7,9,10,11,14],[3,5,6,7,9,12,14],[3,5,6,8,10,11,13]]; G[906]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 907: autom. group order 2, simple B[907]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,13,14],[1,4,5,9,10,11,12],[1,4,7,8,9,11,13],[1,5,6,8,9,12,14],[1,6,7,8,10,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,6,7,9,12,13],[2,4,7,8,10,12,14],[2,5,6,9,10,12,13],[2,5,7,8,9,11,13],[2,5,7,8,11,12,14],[3,4,5,7,10,12,13],[3,4,6,8,9,12,14],[3,4,6,8,11,12,13],[3,4,7,9,10,11,14],[3,5,6,7,9,11,14],[3,5,6,8,10,11,13]]; G[907]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 908: autom. group order 2, simple B[908]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,13,14],[1,4,5,9,10,11,12],[1,4,7,8,9,12,13],[1,5,6,8,9,11,14],[1,6,7,8,10,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,11,13],[2,4,7,8,10,12,14],[2,5,6,9,10,12,13],[2,5,7,8,9,11,14],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,6,8,9,12,13],[3,4,6,8,11,12,14],[3,4,7,9,10,11,14],[3,5,6,7,9,12,14],[3,5,6,8,10,11,13]]; G[908]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 909: autom. group order 2, simple B[909]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,9,10,13,14],[1,4,7,8,9,11,13],[1,5,6,8,9,12,14],[1,6,7,8,10,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,12,13],[2,4,7,8,11,12,14],[2,5,6,9,10,11,13],[2,5,7,8,9,11,14],[2,5,7,8,10,12,13],[3,4,5,7,10,11,13],[3,4,6,8,9,12,13],[3,4,6,8,10,11,14],[3,4,7,9,10,12,14],[3,5,6,7,9,11,14],[3,5,6,8,11,12,13]]; G[909]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 910: autom. group order 2, simple B[910]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,9,10,13,14],[1,4,7,8,9,11,13],[1,5,6,8,9,12,14],[1,6,7,8,10,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,12,13],[2,4,7,8,11,12,14],[2,5,6,9,10,11,13],[2,5,7,8,9,12,13],[2,5,7,8,10,11,14],[3,4,5,7,10,11,13],[3,4,6,8,9,11,14],[3,4,6,8,10,12,13],[3,4,7,9,10,12,14],[3,5,6,7,9,11,14],[3,5,6,8,11,12,13]]; G[910]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 911: autom. group order 2, simple B[911]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,13,14],[1,4,5,9,10,11,12],[1,4,7,8,9,11,13],[1,5,6,8,9,12,14],[1,6,7,8,10,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,12,13],[2,4,7,8,11,12,14],[2,5,6,9,10,11,13],[2,5,7,8,9,11,14],[2,5,7,8,10,12,13],[3,4,5,7,10,11,13],[3,4,6,8,9,12,13],[3,4,6,8,10,11,14],[3,4,7,9,10,12,14],[3,5,6,7,9,11,14],[3,5,6,8,11,12,13]]; G[911]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 912: autom. group order 2, simple B[912]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,13,14],[1,4,5,9,10,11,12],[1,4,7,8,9,11,13],[1,5,6,8,9,12,14],[1,6,7,8,10,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,12,13],[2,4,7,8,11,12,14],[2,5,6,9,10,11,13],[2,5,7,8,9,12,13],[2,5,7,8,10,11,14],[3,4,5,7,10,11,13],[3,4,6,8,9,11,14],[3,4,6,8,10,12,13],[3,4,7,9,10,12,14],[3,5,6,7,9,11,14],[3,5,6,8,11,12,13]]; G[912]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 913: autom. group order 2, simple B[913]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,6,7,9,12,13],[2,4,7,8,9,12,14],[2,5,6,8,10,12,13],[2,5,7,8,11,12,14],[2,5,7,9,10,11,13],[3,4,5,7,10,12,13],[3,4,6,8,11,12,13],[3,4,6,9,10,12,14],[3,4,7,8,10,11,14],[3,5,6,7,9,11,14],[3,5,6,8,9,11,13]]; G[913]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 914: autom. group order 2, simple B[914]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,11,13],[2,4,7,8,9,12,14],[2,5,6,8,10,12,13],[2,5,7,8,11,12,13],[2,5,7,9,10,11,14],[3,4,5,7,10,11,13],[3,4,6,8,11,12,14],[3,4,6,9,10,12,13],[3,4,7,8,10,11,14],[3,5,6,7,9,12,14],[3,5,6,8,9,11,13]]; G[914]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 915: autom. group order 2, simple B[915]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,6,7,9,12,13],[2,4,7,8,9,12,14],[2,5,6,8,10,12,13],[2,5,7,8,11,12,14],[2,5,7,9,10,11,13],[3,4,5,7,10,12,13],[3,4,6,8,11,12,13],[3,4,6,9,10,12,14],[3,4,7,8,10,11,14],[3,5,6,7,9,11,14],[3,5,6,8,9,11,13]]; G[915]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 916: autom. group order 2, simple B[916]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,11,13],[2,4,7,8,9,12,14],[2,5,6,8,10,12,13],[2,5,7,8,11,12,13],[2,5,7,9,10,11,14],[3,4,5,7,10,11,13],[3,4,6,8,11,12,14],[3,4,6,9,10,12,13],[3,4,7,8,10,11,14],[3,5,6,7,9,12,14],[3,5,6,8,9,11,13]]; G[916]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 917: autom. group order 2, simple B[917]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,12,13],[2,4,7,8,9,11,14],[2,5,6,8,11,12,13],[2,5,7,8,10,11,13],[2,5,7,9,10,12,14],[3,4,5,7,10,11,13],[3,4,6,8,10,12,14],[3,4,6,9,10,11,13],[3,4,7,8,11,12,14],[3,5,6,7,9,11,14],[3,5,6,8,9,12,13]]; G[917]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 918: autom. group order 2, simple B[918]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,12,13],[2,4,7,8,9,11,14],[2,5,6,8,11,12,13],[2,5,7,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,7,10,11,13],[3,4,6,8,10,11,13],[3,4,6,9,10,12,14],[3,4,7,8,11,12,14],[3,5,6,7,9,11,14],[3,5,6,8,9,12,13]]; G[918]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 919: autom. group order 2, simple B[919]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,12,13],[2,4,7,8,9,11,14],[2,5,6,8,11,12,13],[2,5,7,8,10,11,13],[2,5,7,9,10,12,14],[3,4,5,7,10,11,13],[3,4,6,8,10,12,14],[3,4,6,9,10,11,13],[3,4,7,8,11,12,14],[3,5,6,7,9,11,14],[3,5,6,8,9,12,13]]; G[919]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 920: autom. group order 2, simple B[920]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,12,13],[2,4,7,8,9,11,14],[2,5,6,8,11,12,13],[2,5,7,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,7,10,11,13],[3,4,6,8,10,11,13],[3,4,6,9,10,12,14],[3,4,7,8,11,12,14],[3,5,6,7,9,11,14],[3,5,6,8,9,12,13]]; G[920]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 921: autom. group order 2, simple B[921]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,6,7,9,12,13],[2,4,7,8,10,12,14],[2,5,6,8,9,12,13],[2,5,7,8,11,12,14],[2,5,7,9,10,11,13],[3,4,5,7,10,12,13],[3,4,6,8,11,12,13],[3,4,6,9,10,12,14],[3,4,7,8,9,11,14],[3,5,6,7,9,11,14],[3,5,6,8,10,11,13]]; G[921]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 922: autom. group order 2, simple B[922]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,11,13],[2,4,7,8,10,12,14],[2,5,6,8,9,12,13],[2,5,7,8,11,12,13],[2,5,7,9,10,11,14],[3,4,5,7,10,11,13],[3,4,6,8,11,12,14],[3,4,6,9,10,12,13],[3,4,7,8,9,11,14],[3,5,6,7,9,12,14],[3,5,6,8,10,11,13]]; G[922]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 923: autom. group order 2, simple B[923]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,6,7,9,12,13],[2,4,7,8,10,12,14],[2,5,6,8,9,12,13],[2,5,7,8,11,12,14],[2,5,7,9,10,11,13],[3,4,5,7,10,12,13],[3,4,6,8,11,12,13],[3,4,6,9,10,12,14],[3,4,7,8,9,11,14],[3,5,6,7,9,11,14],[3,5,6,8,10,11,13]]; G[923]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 924: autom. group order 2, simple B[924]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,11,13],[2,4,7,8,10,12,14],[2,5,6,8,9,12,13],[2,5,7,8,11,12,13],[2,5,7,9,10,11,14],[3,4,5,7,10,11,13],[3,4,6,8,11,12,14],[3,4,6,9,10,12,13],[3,4,7,8,9,11,14],[3,5,6,7,9,12,14],[3,5,6,8,10,11,13]]; G[924]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 925: autom. group order 2, simple B[925]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,12,13],[2,4,7,8,11,12,14],[2,5,6,8,9,11,13],[2,5,7,8,10,11,14],[2,5,7,9,10,12,13],[3,4,5,7,10,11,13],[3,4,6,8,10,12,13],[3,4,6,9,10,11,14],[3,4,7,8,9,12,14],[3,5,6,7,9,11,14],[3,5,6,8,11,12,13]]; G[925]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 926: autom. group order 2, simple B[926]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,12,13],[2,4,7,8,11,12,14],[2,5,6,8,9,11,13],[2,5,7,8,10,12,13],[2,5,7,9,10,11,14],[3,4,5,7,10,11,13],[3,4,6,8,10,11,14],[3,4,6,9,10,12,13],[3,4,7,8,9,12,14],[3,5,6,7,9,11,14],[3,5,6,8,11,12,13]]; G[926]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 927: autom. group order 2, simple B[927]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,12,13],[2,4,7,8,11,12,14],[2,5,6,8,9,11,13],[2,5,7,8,10,11,14],[2,5,7,9,10,12,13],[3,4,5,7,10,11,13],[3,4,6,8,10,12,13],[3,4,6,9,10,11,14],[3,4,7,8,9,12,14],[3,5,6,7,9,11,14],[3,5,6,8,11,12,13]]; G[927]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 928: autom. group order 2, simple B[928]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,12,13],[2,4,7,8,11,12,14],[2,5,6,8,9,11,13],[2,5,7,8,10,12,13],[2,5,7,9,10,11,14],[3,4,5,7,10,11,13],[3,4,6,8,10,11,14],[3,4,6,9,10,12,13],[3,4,7,8,9,12,14],[3,5,6,7,9,11,14],[3,5,6,8,11,12,13]]; G[928]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 929: autom. group order 2, simple B[929]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,12,13],[2,4,7,8,10,11,14],[2,5,6,8,11,12,13],[2,5,7,8,9,11,13],[2,5,7,9,10,12,14],[3,4,5,7,10,11,13],[3,4,6,8,9,12,14],[3,4,6,9,10,11,13],[3,4,7,8,11,12,14],[3,5,6,7,9,11,14],[3,5,6,8,10,12,13]]; G[929]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 930: autom. group order 2, simple B[930]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,12,13],[2,4,7,8,10,11,14],[2,5,6,8,11,12,13],[2,5,7,8,9,12,14],[2,5,7,9,10,11,13],[3,4,5,7,10,11,13],[3,4,6,8,9,11,13],[3,4,6,9,10,12,14],[3,4,7,8,11,12,14],[3,5,6,7,9,11,14],[3,5,6,8,10,12,13]]; G[930]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 931: autom. group order 2, simple B[931]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,12,13],[2,4,7,8,10,11,14],[2,5,6,8,11,12,13],[2,5,7,8,9,11,13],[2,5,7,9,10,12,14],[3,4,5,7,10,11,13],[3,4,6,8,9,12,14],[3,4,6,9,10,11,13],[3,4,7,8,11,12,14],[3,5,6,7,9,11,14],[3,5,6,8,10,12,13]]; G[931]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 932: autom. group order 2, simple B[932]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,12,13],[2,4,7,8,10,11,14],[2,5,6,8,11,12,13],[2,5,7,8,9,12,14],[2,5,7,9,10,11,13],[3,4,5,7,10,11,13],[3,4,6,8,9,11,13],[3,4,6,9,10,12,14],[3,4,7,8,11,12,14],[3,5,6,7,9,11,14],[3,5,6,8,10,12,13]]; G[932]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 933: autom. group order 2, simple B[933]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,12,13],[2,4,7,8,11,12,14],[2,5,6,8,10,11,13],[2,5,7,8,9,11,14],[2,5,7,9,10,12,13],[3,4,5,7,10,11,13],[3,4,6,8,9,12,13],[3,4,6,9,10,11,14],[3,4,7,8,10,12,14],[3,5,6,7,9,11,14],[3,5,6,8,11,12,13]]; G[933]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 934: autom. group order 2, simple B[934]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,12,13],[2,4,7,8,11,12,14],[2,5,6,8,10,11,13],[2,5,7,8,9,12,13],[2,5,7,9,10,11,14],[3,4,5,7,10,11,13],[3,4,6,8,9,11,14],[3,4,6,9,10,12,13],[3,4,7,8,10,12,14],[3,5,6,7,9,11,14],[3,5,6,8,11,12,13]]; G[934]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 935: autom. group order 2, simple B[935]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,12,13],[2,4,7,8,11,12,14],[2,5,6,8,10,11,13],[2,5,7,8,9,11,14],[2,5,7,9,10,12,13],[3,4,5,7,10,11,13],[3,4,6,8,9,12,13],[3,4,6,9,10,11,14],[3,4,7,8,10,12,14],[3,5,6,7,9,11,14],[3,5,6,8,11,12,13]]; G[935]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 936: autom. group order 2, simple B[936]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,12,13],[2,4,7,8,11,12,14],[2,5,6,8,10,11,13],[2,5,7,8,9,12,13],[2,5,7,9,10,11,14],[3,4,5,7,10,11,13],[3,4,6,8,9,11,14],[3,4,6,9,10,12,13],[3,4,7,8,10,12,14],[3,5,6,7,9,11,14],[3,5,6,8,11,12,13]]; G[936]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 937: autom. group order 2, simple B[937]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,6,7,9,12,13],[2,4,7,8,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,13],[2,5,7,8,11,12,14],[3,4,5,7,10,12,13],[3,4,6,8,10,12,14],[3,4,6,8,11,12,13],[3,4,7,9,10,11,14],[3,5,6,7,9,11,14],[3,5,6,8,9,11,13]]; G[937]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 938: autom. group order 2, simple B[938]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,11,13],[2,4,7,8,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,6,8,10,12,13],[3,4,6,8,11,12,14],[3,4,7,9,10,11,14],[3,5,6,7,9,12,14],[3,5,6,8,9,11,13]]; G[938]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 939: autom. group order 2, simple B[939]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,6,7,9,12,13],[2,4,7,8,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,13],[2,5,7,8,11,12,14],[3,4,5,7,10,12,13],[3,4,6,8,10,12,14],[3,4,6,8,11,12,13],[3,4,7,9,10,11,14],[3,5,6,7,9,11,14],[3,5,6,8,9,11,13]]; G[939]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 940: autom. group order 2, simple B[940]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,11,13],[2,4,7,8,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,6,8,10,12,13],[3,4,6,8,11,12,14],[3,4,7,9,10,11,14],[3,5,6,7,9,12,14],[3,5,6,8,9,11,13]]; G[940]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 941: autom. group order 2, simple B[941]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,11,13],[2,4,6,7,9,12,14],[2,4,7,8,9,12,13],[2,5,6,9,10,12,14],[2,5,7,8,10,11,12],[2,5,7,8,11,13,14],[3,4,5,7,10,12,13],[3,4,6,8,10,11,12],[3,4,6,8,12,13,14],[3,4,7,9,10,11,14],[3,5,6,7,9,11,14],[3,5,6,8,9,11,13]]; G[941]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 942: autom. group order 2, simple B[942]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,6,7,9,11,14],[2,4,7,8,9,12,13],[2,5,6,9,10,12,14],[2,5,7,8,10,11,12],[2,5,7,8,11,13,14],[3,4,5,7,10,11,13],[3,4,6,8,10,11,12],[3,4,6,8,12,13,14],[3,4,7,9,10,11,14],[3,5,6,7,9,12,14],[3,5,6,8,9,11,13]]; G[942]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 943: autom. group order 2, simple B[943]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,11,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,6,7,9,12,14],[2,4,7,8,9,11,12],[2,5,6,9,10,11,13],[2,5,7,8,10,11,14],[2,5,7,8,12,13,14],[3,4,5,7,10,11,13],[3,4,6,8,10,12,14],[3,4,6,8,11,13,14],[3,4,7,9,10,12,13],[3,5,6,7,9,11,14],[3,5,6,8,9,11,12]]; G[943]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 944: autom. group order 2, simple B[944]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,11,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,6,7,9,12,14],[2,4,7,8,9,11,12],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[2,5,7,8,11,13,14],[3,4,5,7,10,11,13],[3,4,6,8,10,11,14],[3,4,6,8,12,13,14],[3,4,7,9,10,12,13],[3,5,6,7,9,11,14],[3,5,6,8,9,11,12]]; G[944]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 945: autom. group order 2, simple B[945]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,6,7,9,12,13],[2,4,7,8,10,12,14],[2,5,6,9,10,12,13],[2,5,7,8,9,11,13],[2,5,7,8,11,12,14],[3,4,5,7,10,12,13],[3,4,6,8,9,12,14],[3,4,6,8,11,12,13],[3,4,7,9,10,11,14],[3,5,6,7,9,11,14],[3,5,6,8,10,11,13]]; G[945]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 946: autom. group order 2, simple B[946]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,11,13],[2,4,7,8,10,12,14],[2,5,6,9,10,12,13],[2,5,7,8,9,11,14],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,6,8,9,12,13],[3,4,6,8,11,12,14],[3,4,7,9,10,11,14],[3,5,6,7,9,12,14],[3,5,6,8,10,11,13]]; G[946]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 947: autom. group order 2, simple B[947]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,6,7,9,12,13],[2,4,7,8,10,12,14],[2,5,6,9,10,12,13],[2,5,7,8,9,11,13],[2,5,7,8,11,12,14],[3,4,5,7,10,12,13],[3,4,6,8,9,12,14],[3,4,6,8,11,12,13],[3,4,7,9,10,11,14],[3,5,6,7,9,11,14],[3,5,6,8,10,11,13]]; G[947]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 948: autom. group order 2, simple B[948]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,11,13],[2,4,7,8,10,12,14],[2,5,6,9,10,12,13],[2,5,7,8,9,11,14],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,6,8,9,12,13],[3,4,6,8,11,12,14],[3,4,7,9,10,11,14],[3,5,6,7,9,12,14],[3,5,6,8,10,11,13]]; G[948]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 949: autom. group order 2, simple B[949]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,12,13],[2,4,7,8,11,12,14],[2,5,6,9,10,11,13],[2,5,7,8,9,11,14],[2,5,7,8,10,12,13],[3,4,5,7,10,11,13],[3,4,6,8,9,12,13],[3,4,6,8,10,11,14],[3,4,7,9,10,12,14],[3,5,6,7,9,11,14],[3,5,6,8,11,12,13]]; G[949]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 950: autom. group order 2, simple B[950]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,12,13],[2,4,7,8,11,12,14],[2,5,6,9,10,11,13],[2,5,7,8,9,12,13],[2,5,7,8,10,11,14],[3,4,5,7,10,11,13],[3,4,6,8,9,11,14],[3,4,6,8,10,12,13],[3,4,7,9,10,12,14],[3,5,6,7,9,11,14],[3,5,6,8,11,12,13]]; G[950]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 951: autom. group order 2, simple B[951]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,12,13],[2,4,7,8,11,12,14],[2,5,6,9,10,11,13],[2,5,7,8,9,11,14],[2,5,7,8,10,12,13],[3,4,5,7,10,11,13],[3,4,6,8,9,12,13],[3,4,6,8,10,11,14],[3,4,7,9,10,12,14],[3,5,6,7,9,11,14],[3,5,6,8,11,12,13]]; G[951]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 952: autom. group order 2, simple B[952]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,12,13],[2,4,7,8,11,12,14],[2,5,6,9,10,11,13],[2,5,7,8,9,12,13],[2,5,7,8,10,11,14],[3,4,5,7,10,11,13],[3,4,6,8,9,11,14],[3,4,6,8,10,12,13],[3,4,7,9,10,12,14],[3,5,6,7,9,11,14],[3,5,6,8,11,12,13]]; G[952]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 953: autom. group order 2, simple B[953]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,6,7,9,12,14],[2,4,7,8,10,11,12],[2,5,6,9,10,11,14],[2,5,7,8,9,11,13],[2,5,7,8,12,13,14],[3,4,5,7,10,11,13],[3,4,6,8,9,12,13],[3,4,6,8,11,13,14],[3,4,7,9,10,12,14],[3,5,6,7,9,11,14],[3,5,6,8,10,11,12]]; G[953]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 954: autom. group order 2, simple B[954]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,6,7,9,12,14],[2,4,7,8,10,11,12],[2,5,6,9,10,11,14],[2,5,7,8,9,12,13],[2,5,7,8,11,13,14],[3,4,5,7,10,11,13],[3,4,6,8,9,11,13],[3,4,6,8,12,13,14],[3,4,7,9,10,12,14],[3,5,6,7,9,11,14],[3,5,6,8,10,11,12]]; G[954]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 955: autom. group order 2, simple B[955]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,11,13],[2,4,6,7,9,12,14],[2,4,7,8,12,13,14],[2,5,6,9,10,12,14],[2,5,7,8,9,11,13],[2,5,7,8,10,11,12],[3,4,5,7,10,12,13],[3,4,6,8,9,12,13],[3,4,6,8,10,11,12],[3,4,7,9,10,11,14],[3,5,6,7,9,11,14],[3,5,6,8,11,13,14]]; G[955]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 956: autom. group order 2, simple B[956]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,6,7,9,11,14],[2,4,7,8,12,13,14],[2,5,6,9,10,12,14],[2,5,7,8,9,11,13],[2,5,7,8,10,11,12],[3,4,5,7,10,11,13],[3,4,6,8,9,12,13],[3,4,6,8,10,11,12],[3,4,7,9,10,11,14],[3,5,6,7,9,12,14],[3,5,6,8,11,13,14]]; G[956]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 957: autom. group order 2, simple B[957]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,11,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,6,10,11,13],[2,4,6,7,9,12,14],[2,4,7,8,10,12,14],[2,5,6,9,10,12,13],[2,5,7,8,9,11,12],[2,5,7,8,11,13,14],[3,4,5,7,10,12,13],[3,4,6,8,9,11,12],[3,4,6,8,12,13,14],[3,4,7,9,10,11,13],[3,5,6,7,9,11,14],[3,5,6,8,10,11,14]]; G[957]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 958: autom. group order 2, simple B[958]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,12,14],[1,5,6,9,10,11,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,6,7,9,11,14],[2,4,7,8,10,12,14],[2,5,6,9,10,12,13],[2,5,7,8,9,11,12],[2,5,7,8,11,13,14],[3,4,5,7,10,11,13],[3,4,6,8,9,11,12],[3,4,6,8,12,13,14],[3,4,7,9,10,11,13],[3,5,6,7,9,12,14],[3,5,6,8,10,11,14]]; G[958]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 959: autom. group order 2, simple B[959]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,11,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,6,10,11,13],[2,4,6,7,9,12,14],[2,4,7,8,12,13,14],[2,5,6,9,10,12,13],[2,5,7,8,9,11,12],[2,5,7,8,10,11,14],[3,4,5,7,10,12,13],[3,4,6,8,9,11,12],[3,4,6,8,10,12,14],[3,4,7,9,10,11,13],[3,5,6,7,9,11,14],[3,5,6,8,11,13,14]]; G[959]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 960: autom. group order 2, simple B[960]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,12,14],[1,5,6,9,10,11,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,6,7,9,11,14],[2,4,7,8,12,13,14],[2,5,6,9,10,12,13],[2,5,7,8,9,11,12],[2,5,7,8,10,11,14],[3,4,5,7,10,11,13],[3,4,6,8,9,11,12],[3,4,6,8,10,12,14],[3,4,7,9,10,11,13],[3,5,6,7,9,12,14],[3,5,6,8,11,13,14]]; G[960]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 961: autom. group order 2, simple B[961]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,6,9,11,14],[2,4,6,7,10,12,13],[2,4,7,8,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,13],[2,5,7,8,11,12,14],[3,4,5,7,9,12,13],[3,4,6,8,10,12,14],[3,4,6,8,11,12,13],[3,4,7,9,10,11,14],[3,5,6,7,10,11,14],[3,5,6,8,9,11,13]]; G[961]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 962: autom. group order 2, simple B[962]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,6,9,12,14],[2,4,6,7,10,11,13],[2,4,7,8,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[2,5,7,8,11,12,13],[3,4,5,7,9,11,13],[3,4,6,8,10,12,13],[3,4,6,8,11,12,14],[3,4,7,9,10,11,14],[3,5,6,7,10,12,14],[3,5,6,8,9,11,13]]; G[962]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 963: autom. group order 2, simple B[963]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,6,9,11,14],[2,4,6,7,10,12,13],[2,4,7,8,10,12,14],[2,5,6,9,10,12,13],[2,5,7,8,9,11,13],[2,5,7,8,11,12,14],[3,4,5,7,9,12,13],[3,4,6,8,9,12,14],[3,4,6,8,11,12,13],[3,4,7,9,10,11,14],[3,5,6,7,10,11,14],[3,5,6,8,10,11,13]]; G[963]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 964: autom. group order 2, simple B[964]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,6,9,12,14],[2,4,6,7,10,11,13],[2,4,7,8,10,12,14],[2,5,6,9,10,12,13],[2,5,7,8,9,11,14],[2,5,7,8,11,12,13],[3,4,5,7,9,11,13],[3,4,6,8,9,12,13],[3,4,6,8,11,12,14],[3,4,7,9,10,11,14],[3,5,6,7,10,12,14],[3,5,6,8,10,11,13]]; G[964]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 965: autom. group order 2, simple B[965]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,6,9,12,14],[2,4,6,7,10,12,13],[2,4,7,8,11,12,14],[2,5,6,9,10,11,13],[2,5,7,8,9,11,14],[2,5,7,8,10,12,13],[3,4,5,7,9,11,13],[3,4,6,8,9,12,13],[3,4,6,8,10,11,14],[3,4,7,9,10,12,14],[3,5,6,7,10,11,14],[3,5,6,8,11,12,13]]; G[965]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 966: autom. group order 2, simple B[966]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,6,9,12,14],[2,4,6,7,10,12,13],[2,4,7,8,11,12,14],[2,5,6,9,10,11,13],[2,5,7,8,9,12,13],[2,5,7,8,10,11,14],[3,4,5,7,9,11,13],[3,4,6,8,9,11,14],[3,4,6,8,10,12,13],[3,4,7,9,10,12,14],[3,5,6,7,10,11,14],[3,5,6,8,11,12,13]]; G[966]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 967: autom. group order 2, simple B[967]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,6,7,9,12,13],[2,4,7,8,9,12,14],[2,5,6,8,10,12,13],[2,5,7,8,11,12,14],[2,5,7,9,10,11,13],[3,4,5,7,10,12,13],[3,4,6,8,11,12,13],[3,4,6,9,10,12,14],[3,4,7,8,10,11,14],[3,5,6,7,9,11,14],[3,5,6,8,9,11,13]]; G[967]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 968: autom. group order 2, simple B[968]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,6,7,9,12,13],[2,4,7,8,9,12,14],[2,5,6,8,10,12,13],[2,5,7,8,11,12,14],[2,5,7,9,10,11,13],[3,4,5,7,10,12,13],[3,4,6,8,11,12,13],[3,4,6,9,10,12,14],[3,4,7,8,10,11,14],[3,5,6,7,9,11,14],[3,5,6,8,9,11,13]]; G[968]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 969: autom. group order 2, simple B[969]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,12,13],[2,4,7,8,9,11,14],[2,5,6,8,11,12,13],[2,5,7,8,10,11,13],[2,5,7,9,10,12,14],[3,4,5,7,10,11,13],[3,4,6,8,10,12,14],[3,4,6,9,10,11,13],[3,4,7,8,11,12,14],[3,5,6,7,9,11,14],[3,5,6,8,9,12,13]]; G[969]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 970: autom. group order 2, simple B[970]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,12,13],[2,4,7,8,9,11,14],[2,5,6,8,11,12,13],[2,5,7,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,7,10,11,13],[3,4,6,8,10,11,13],[3,4,6,9,10,12,14],[3,4,7,8,11,12,14],[3,5,6,7,9,11,14],[3,5,6,8,9,12,13]]; G[970]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 971: autom. group order 2, simple B[971]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,12,13],[2,4,7,8,9,11,14],[2,5,6,8,11,12,13],[2,5,7,8,10,11,13],[2,5,7,9,10,12,14],[3,4,5,7,10,11,13],[3,4,6,8,10,12,14],[3,4,6,9,10,11,13],[3,4,7,8,11,12,14],[3,5,6,7,9,11,14],[3,5,6,8,9,12,13]]; G[971]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 972: autom. group order 2, simple B[972]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,12,13],[2,4,7,8,9,11,14],[2,5,6,8,11,12,13],[2,5,7,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,7,10,11,13],[3,4,6,8,10,11,13],[3,4,6,9,10,12,14],[3,4,7,8,11,12,14],[3,5,6,7,9,11,14],[3,5,6,8,9,12,13]]; G[972]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 973: autom. group order 2, simple B[973]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,6,7,9,12,14],[2,4,7,8,9,11,13],[2,5,6,8,10,11,12],[2,5,7,8,11,13,14],[2,5,7,9,10,12,14],[3,4,5,7,10,11,13],[3,4,6,8,12,13,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,12],[3,5,6,7,9,11,14],[3,5,6,8,9,12,13]]; G[973]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 974: autom. group order 2, simple B[974]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,6,7,9,12,14],[2,4,7,8,9,11,13],[2,5,6,8,10,11,12],[2,5,7,8,12,13,14],[2,5,7,9,10,11,14],[3,4,5,7,10,11,13],[3,4,6,8,11,13,14],[3,4,6,9,10,12,14],[3,4,7,8,10,11,12],[3,5,6,7,9,11,14],[3,5,6,8,9,12,13]]; G[974]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 975: autom. group order 2, simple B[975]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,11,13],[2,4,6,7,9,12,14],[2,4,7,8,9,12,13],[2,5,6,8,12,13,14],[2,5,7,8,10,11,12],[2,5,7,9,10,11,14],[3,4,5,7,10,12,13],[3,4,6,8,10,11,12],[3,4,6,9,10,12,14],[3,4,7,8,11,13,14],[3,5,6,7,9,11,14],[3,5,6,8,9,11,13]]; G[975]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 976: autom. group order 2, simple B[976]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,6,7,9,11,14],[2,4,7,8,9,12,13],[2,5,6,8,12,13,14],[2,5,7,8,10,11,12],[2,5,7,9,10,11,14],[3,4,5,7,10,11,13],[3,4,6,8,10,11,12],[3,4,6,9,10,12,14],[3,4,7,8,11,13,14],[3,5,6,7,9,12,14],[3,5,6,8,9,11,13]]; G[976]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 977: autom. group order 2, simple B[977]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,11,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,6,7,9,12,14],[2,4,7,8,9,11,12],[2,5,6,8,11,13,14],[2,5,7,8,10,11,14],[2,5,7,9,10,12,13],[3,4,5,7,10,11,13],[3,4,6,8,10,12,14],[3,4,6,9,10,11,13],[3,4,7,8,12,13,14],[3,5,6,7,9,11,14],[3,5,6,8,9,11,12]]; G[977]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 978: autom. group order 2, simple B[978]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,11,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,6,7,9,12,14],[2,4,7,8,9,11,12],[2,5,6,8,11,13,14],[2,5,7,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,7,10,11,13],[3,4,6,8,10,11,14],[3,4,6,9,10,12,13],[3,4,7,8,12,13,14],[3,5,6,7,9,11,14],[3,5,6,8,9,11,12]]; G[978]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 979: autom. group order 2, simple B[979]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,6,7,9,12,13],[2,4,7,8,10,12,14],[2,5,6,8,9,12,13],[2,5,7,8,11,12,14],[2,5,7,9,10,11,13],[3,4,5,7,10,12,13],[3,4,6,8,11,12,13],[3,4,6,9,10,12,14],[3,4,7,8,9,11,14],[3,5,6,7,9,11,14],[3,5,6,8,10,11,13]]; G[979]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 980: autom. group order 2, simple B[980]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,6,7,9,12,13],[2,4,7,8,10,12,14],[2,5,6,8,9,12,13],[2,5,7,8,11,12,14],[2,5,7,9,10,11,13],[3,4,5,7,10,12,13],[3,4,6,8,11,12,13],[3,4,6,9,10,12,14],[3,4,7,8,9,11,14],[3,5,6,7,9,11,14],[3,5,6,8,10,11,13]]; G[980]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 981: autom. group order 2, simple B[981]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,12,13],[2,4,7,8,11,12,14],[2,5,6,8,9,11,13],[2,5,7,8,10,11,14],[2,5,7,9,10,12,13],[3,4,5,7,10,11,13],[3,4,6,8,10,12,13],[3,4,6,9,10,11,14],[3,4,7,8,9,12,14],[3,5,6,7,9,11,14],[3,5,6,8,11,12,13]]; G[981]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 982: autom. group order 2, simple B[982]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,12,13],[2,4,7,8,11,12,14],[2,5,6,8,9,11,13],[2,5,7,8,10,12,13],[2,5,7,9,10,11,14],[3,4,5,7,10,11,13],[3,4,6,8,10,11,14],[3,4,6,9,10,12,13],[3,4,7,8,9,12,14],[3,5,6,7,9,11,14],[3,5,6,8,11,12,13]]; G[982]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 983: autom. group order 2, simple B[983]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,12,13],[2,4,7,8,11,12,14],[2,5,6,8,9,11,13],[2,5,7,8,10,11,14],[2,5,7,9,10,12,13],[3,4,5,7,10,11,13],[3,4,6,8,10,12,13],[3,4,6,9,10,11,14],[3,4,7,8,9,12,14],[3,5,6,7,9,11,14],[3,5,6,8,11,12,13]]; G[983]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 984: autom. group order 2, simple B[984]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,12,13],[2,4,7,8,11,12,14],[2,5,6,8,9,11,13],[2,5,7,8,10,12,13],[2,5,7,9,10,11,14],[3,4,5,7,10,11,13],[3,4,6,8,10,11,14],[3,4,6,9,10,12,13],[3,4,7,8,9,12,14],[3,5,6,7,9,11,14],[3,5,6,8,11,12,13]]; G[984]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 985: autom. group order 2, simple B[985]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,6,7,9,12,14],[2,4,7,8,10,11,12],[2,5,6,8,9,11,13],[2,5,7,8,11,13,14],[2,5,7,9,10,12,14],[3,4,5,7,10,11,13],[3,4,6,8,12,13,14],[3,4,6,9,10,11,14],[3,4,7,8,9,12,13],[3,5,6,7,9,11,14],[3,5,6,8,10,11,12]]; G[985]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 986: autom. group order 2, simple B[986]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,6,7,9,12,14],[2,4,7,8,10,11,12],[2,5,6,8,9,11,13],[2,5,7,8,12,13,14],[2,5,7,9,10,11,14],[3,4,5,7,10,11,13],[3,4,6,8,11,13,14],[3,4,6,9,10,12,14],[3,4,7,8,9,12,13],[3,5,6,7,9,11,14],[3,5,6,8,10,11,12]]; G[986]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 987: autom. group order 2, simple B[987]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,11,13],[2,4,6,7,9,12,14],[2,4,7,8,12,13,14],[2,5,6,8,9,12,13],[2,5,7,8,10,11,12],[2,5,7,9,10,11,14],[3,4,5,7,10,12,13],[3,4,6,8,10,11,12],[3,4,6,9,10,12,14],[3,4,7,8,9,11,13],[3,5,6,7,9,11,14],[3,5,6,8,11,13,14]]; G[987]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 988: autom. group order 2, simple B[988]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,6,7,9,11,14],[2,4,7,8,12,13,14],[2,5,6,8,9,12,13],[2,5,7,8,10,11,12],[2,5,7,9,10,11,14],[3,4,5,7,10,11,13],[3,4,6,8,10,11,12],[3,4,6,9,10,12,14],[3,4,7,8,9,11,13],[3,5,6,7,9,12,14],[3,5,6,8,11,13,14]]; G[988]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 989: autom. group order 2, simple B[989]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,12,14],[1,5,6,9,10,11,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,6,7,9,12,14],[2,4,7,8,11,13,14],[2,5,6,8,9,11,12],[2,5,7,8,10,11,14],[2,5,7,9,10,12,13],[3,4,5,7,10,11,13],[3,4,6,8,10,12,14],[3,4,6,9,10,11,13],[3,4,7,8,9,11,12],[3,5,6,7,9,11,14],[3,5,6,8,12,13,14]]; G[989]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 990: autom. group order 2, simple B[990]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,12,14],[1,5,6,9,10,11,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,6,7,9,12,14],[2,4,7,8,11,13,14],[2,5,6,8,9,11,12],[2,5,7,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,7,10,11,13],[3,4,6,8,10,11,14],[3,4,6,9,10,12,13],[3,4,7,8,9,11,12],[3,5,6,7,9,11,14],[3,5,6,8,12,13,14]]; G[990]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 991: autom. group order 2, simple B[991]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,6,9,11,14],[2,4,6,7,10,12,13],[2,4,7,8,9,12,14],[2,5,6,8,10,12,13],[2,5,7,8,11,12,14],[2,5,7,9,10,11,13],[3,4,5,7,9,12,13],[3,4,6,8,11,12,13],[3,4,6,9,10,12,14],[3,4,7,8,10,11,14],[3,5,6,7,10,11,14],[3,5,6,8,9,11,13]]; G[991]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 992: autom. group order 2, simple B[992]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,6,9,12,14],[2,4,6,7,10,12,13],[2,4,7,8,9,11,14],[2,5,6,8,11,12,13],[2,5,7,8,10,11,13],[2,5,7,9,10,12,14],[3,4,5,7,9,11,13],[3,4,6,8,10,12,14],[3,4,6,9,10,11,13],[3,4,7,8,11,12,14],[3,5,6,7,10,11,14],[3,5,6,8,9,12,13]]; G[992]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 993: autom. group order 2, simple B[993]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,6,9,12,14],[2,4,6,7,10,12,13],[2,4,7,8,9,11,14],[2,5,6,8,11,12,13],[2,5,7,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,7,9,11,13],[3,4,6,8,10,11,13],[3,4,6,9,10,12,14],[3,4,7,8,11,12,14],[3,5,6,7,10,11,14],[3,5,6,8,9,12,13]]; G[993]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 994: autom. group order 2, simple B[994]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,6,9,11,14],[2,4,6,7,10,12,13],[2,4,7,8,10,12,14],[2,5,6,8,9,12,13],[2,5,7,8,11,12,14],[2,5,7,9,10,11,13],[3,4,5,7,9,12,13],[3,4,6,8,11,12,13],[3,4,6,9,10,12,14],[3,4,7,8,9,11,14],[3,5,6,7,10,11,14],[3,5,6,8,10,11,13]]; G[994]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 995: autom. group order 2, simple B[995]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,6,9,12,14],[2,4,6,7,10,12,13],[2,4,7,8,11,12,14],[2,5,6,8,9,11,13],[2,5,7,8,10,11,14],[2,5,7,9,10,12,13],[3,4,5,7,9,11,13],[3,4,6,8,10,12,13],[3,4,6,9,10,11,14],[3,4,7,8,9,12,14],[3,5,6,7,10,11,14],[3,5,6,8,11,12,13]]; G[995]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 996: autom. group order 2, simple B[996]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,6,9,12,14],[2,4,6,7,10,12,13],[2,4,7,8,11,12,14],[2,5,6,8,9,11,13],[2,5,7,8,10,12,13],[2,5,7,9,10,11,14],[3,4,5,7,9,11,13],[3,4,6,8,10,11,14],[3,4,6,9,10,12,13],[3,4,7,8,9,12,14],[3,5,6,7,10,11,14],[3,5,6,8,11,12,13]]; G[996]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 997: autom. group order 2, simple, residual B[997]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,10,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,8,12,13,14],[1,4,5,7,9,10,13],[1,4,5,10,11,12,14],[1,4,7,8,9,11,14],[1,5,6,7,9,12,14],[1,6,7,8,10,12,13],[1,6,8,9,10,11,13],[2,3,7,9,10,13,14],[2,4,5,6,10,12,13],[2,4,6,8,9,11,12],[2,4,7,8,10,12,14],[2,5,6,8,9,13,14],[2,5,7,8,10,11,14],[2,5,7,9,11,12,13],[3,4,5,8,10,11,13],[3,4,6,7,8,13,14],[3,4,6,9,10,12,14],[3,4,7,9,11,12,13],[3,5,6,7,8,11,12],[3,5,6,9,10,11,14]]; G[997]:=Group([(2,3)(4,5)(6,8)(7,9)(11,12)]); # Design 998: autom. group order 2, simple, residual B[998]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,10,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,8,12,13,14],[1,4,5,7,9,10,13],[1,4,5,10,11,12,14],[1,4,7,8,9,11,14],[1,5,6,7,9,12,14],[1,6,7,8,10,12,13],[1,6,8,9,10,11,13],[2,3,7,9,10,13,14],[2,4,5,6,10,12,13],[2,4,6,8,9,13,14],[2,4,7,8,10,12,14],[2,5,6,8,9,11,12],[2,5,7,8,10,11,14],[2,5,7,9,11,12,13],[3,4,5,8,10,11,13],[3,4,6,7,8,11,12],[3,4,6,9,10,12,14],[3,4,7,9,11,12,13],[3,5,6,7,8,13,14],[3,5,6,9,10,11,14]]; G[998]:=Group([(2,3)(4,5)(6,8)(7,9)(11,12)]); # Design 999: autom. group order 2, simple, residual B[999]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,10,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,9,12,13,14],[1,4,5,7,8,10,13],[1,4,5,10,11,12,14],[1,4,7,8,9,11,14],[1,5,6,7,8,12,14],[1,6,7,9,10,12,13],[1,6,8,9,10,11,13],[2,3,7,8,10,13,14],[2,4,5,6,10,12,13],[2,4,6,7,9,11,12],[2,4,8,9,10,12,14],[2,5,6,8,9,13,14],[2,5,7,8,11,12,13],[2,5,7,9,10,11,14],[3,4,5,9,10,11,13],[3,4,6,7,9,13,14],[3,4,6,8,10,12,14],[3,4,7,8,11,12,13],[3,5,6,7,10,11,14],[3,5,6,8,9,11,12]]; G[999]:=Group([(2,3)(4,5)(6,9)(7,8)(11,12)]); # Design 1000: autom. group order 2, simple, residual B[1000]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,10,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,9,12,13,14],[1,4,5,7,8,10,13],[1,4,5,10,11,12,14],[1,4,7,8,9,11,14],[1,5,6,7,8,12,14],[1,6,7,9,10,12,13],[1,6,8,9,10,11,13],[2,3,7,8,10,13,14],[2,4,5,6,10,12,13],[2,4,6,7,9,13,14],[2,4,8,9,10,12,14],[2,5,6,8,9,11,12],[2,5,7,8,11,12,13],[2,5,7,9,10,11,14],[3,4,5,9,10,11,13],[3,4,6,7,9,11,12],[3,4,6,8,10,12,14],[3,4,7,8,11,12,13],[3,5,6,7,10,11,14],[3,5,6,8,9,13,14]]; G[1000]:=Group([(2,3)(4,5)(6,9)(7,8)(11,12)]); # Design 1001: autom. group order 2, simple B[1001]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,10,12,14],[1,3,5,9,12,13,14],[1,4,5,7,11,12,13],[1,4,5,8,10,11,14],[1,4,7,9,10,11,12],[1,5,6,8,11,13,14],[1,6,7,8,9,10,13],[1,6,7,8,9,12,14],[2,3,7,8,11,12,14],[2,4,5,6,8,12,13],[2,4,6,7,9,13,14],[2,4,8,9,10,11,13],[2,5,6,9,10,11,14],[2,5,7,8,9,11,12],[2,5,7,10,12,13,14],[3,4,5,7,9,10,14],[3,4,6,7,8,11,14],[3,4,6,9,11,12,13],[3,4,8,10,12,13,14],[3,5,6,7,10,11,13],[3,5,6,8,9,10,12]]; G[1001]:=Group([(2,3)(4,5)(6,9)(7,8)(10,13)(12,14)]); # Design 1002: autom. group order 2, simple B[1002]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,10,12,14],[1,3,5,9,12,13,14],[1,4,5,7,11,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,11,14],[1,5,6,8,11,12,13],[1,6,7,8,9,10,13],[1,6,7,8,9,12,14],[2,3,7,8,11,12,14],[2,4,5,6,8,13,14],[2,4,6,7,9,12,13],[2,4,8,9,10,11,13],[2,5,6,9,10,11,14],[2,5,7,8,9,11,12],[2,5,7,10,12,13,14],[3,4,5,7,9,10,12],[3,4,6,7,8,11,14],[3,4,6,9,11,12,13],[3,4,8,10,12,13,14],[3,5,6,7,10,11,13],[3,5,6,8,9,10,14]]; G[1002]:=Group([(2,3)(4,5)(6,9)(7,8)(10,13)(12,14)]); # Design 1003: autom. group order 2, simple B[1003]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,10,12,14],[1,3,5,9,12,13,14],[1,4,5,7,11,13,14],[1,4,5,8,10,11,12],[1,4,8,9,10,11,14],[1,5,6,7,11,12,13],[1,6,7,8,9,10,13],[1,6,7,8,9,12,14],[2,3,7,8,11,12,14],[2,4,5,6,8,13,14],[2,4,6,9,11,12,13],[2,4,7,9,10,11,13],[2,5,6,7,9,10,14],[2,5,7,8,9,11,12],[2,5,8,10,12,13,14],[3,4,5,7,9,10,12],[3,4,6,7,8,11,14],[3,4,6,8,9,12,13],[3,4,7,10,12,13,14],[3,5,6,8,10,11,13],[3,5,6,9,10,11,14]]; G[1003]:=Group([(2,3)(4,5)(6,9)(7,8)(10,13)(12,14)]); # Design 1004: autom. group order 2, simple, residual B[1004]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,3,8,12,13,14],[1,2,4,6,9,12,14],[1,3,5,9,10,13,14],[1,4,5,7,8,11,14],[1,4,5,9,10,11,12],[1,4,7,8,10,12,13],[1,5,6,7,11,13,14],[1,6,7,8,9,10,14],[1,6,8,9,11,12,13],[2,3,7,8,9,11,14],[2,4,5,6,8,10,13],[2,4,7,9,10,11,13],[2,4,7,9,12,13,14],[2,5,6,7,10,12,14],[2,5,6,8,9,11,13],[2,5,8,10,11,12,14],[3,4,5,11,12,13,14],[3,4,6,7,8,11,12],[3,4,6,8,10,13,14],[3,4,6,9,10,11,14],[3,5,6,7,9,12,13],[3,5,7,8,9,10,12]]; G[1004]:=Group([(1,12)(3,14)(4,10)(9,11)]); # Design 1005: autom. group order 2, simple B[1005]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,3,8,12,13,14],[1,2,4,6,9,12,14],[1,3,5,9,10,13,14],[1,4,5,7,8,11,14],[1,4,5,9,10,11,12],[1,4,7,8,10,12,13],[1,5,6,7,11,13,14],[1,6,7,8,9,11,12],[1,6,8,9,10,13,14],[2,3,7,8,9,11,14],[2,4,5,6,8,10,13],[2,4,7,9,10,11,13],[2,4,7,9,12,13,14],[2,5,6,7,10,12,14],[2,5,6,8,9,11,13],[2,5,8,10,11,12,14],[3,4,5,11,12,13,14],[3,4,6,7,8,10,14],[3,4,6,8,11,12,13],[3,4,6,9,10,11,14],[3,5,6,7,9,12,13],[3,5,7,8,9,10,12]]; G[1005]:=Group([(1,12)(3,14)(4,10)(9,11)]); # Design 1006: autom. group order 2, simple, residual B[1006]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,11,13,14],[1,3,5,10,12,13,14],[1,4,5,7,9,13,14],[1,4,5,8,10,11,13],[1,4,7,9,10,11,12],[1,5,6,7,8,12,14],[1,6,7,8,9,10,14],[1,6,8,9,11,12,13],[2,3,7,8,9,13,14],[2,4,5,6,9,10,12],[2,4,7,8,10,12,13],[2,4,7,8,11,12,14],[2,5,6,7,10,11,14],[2,5,6,8,9,12,13],[2,5,9,10,11,13,14],[3,4,5,8,11,12,14],[3,4,6,7,9,11,13],[3,4,6,8,10,13,14],[3,4,6,9,10,12,14],[3,5,6,7,11,12,13],[3,5,7,8,9,10,11]]; G[1006]:=Group([(1,11)(3,14)(4,10)(8,13)]); # Design 1007: autom. group order 2, simple B[1007]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,11,13,14],[1,3,5,10,12,13,14],[1,4,5,7,9,13,14],[1,4,5,8,10,11,13],[1,4,7,9,10,11,12],[1,5,6,7,8,12,14],[1,6,7,8,9,11,13],[1,6,8,9,10,12,14],[2,3,7,8,9,13,14],[2,4,5,6,9,10,12],[2,4,7,8,10,12,13],[2,4,7,8,11,12,14],[2,5,6,7,10,11,14],[2,5,6,8,9,12,13],[2,5,9,10,11,13,14],[3,4,5,8,11,12,14],[3,4,6,7,9,10,14],[3,4,6,8,10,13,14],[3,4,6,9,11,12,13],[3,5,6,7,11,12,13],[3,5,7,8,9,10,11]]; G[1007]:=Group([(1,11)(3,14)(4,10)(8,13)]); # Design 1008: autom. group order 2, simple, residual B[1008]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,11,12],[1,2,4,6,10,13,14],[1,3,5,9,11,13,14],[1,4,5,7,8,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,12,13],[1,5,6,7,11,12,14],[1,6,7,8,9,11,13],[1,6,8,9,10,12,14],[2,3,7,8,12,13,14],[2,4,5,6,9,12,13],[2,4,7,8,9,11,14],[2,4,7,9,10,11,14],[2,5,6,7,10,11,13],[2,5,6,8,9,12,14],[2,5,8,10,11,12,13],[3,4,5,10,11,12,14],[3,4,6,7,8,10,12],[3,4,6,8,11,13,14],[3,4,6,9,11,12,13],[3,5,6,7,9,10,14],[3,5,7,8,9,10,13]]; G[1008]:=Group([(1,10)(3,11)(4,13)(9,12)]); # Design 1009: autom. group order 2, simple, residual B[1009]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,11,12],[1,2,4,6,10,13,14],[1,3,5,11,12,13,14],[1,4,5,7,8,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,12,13],[1,5,6,7,9,11,14],[1,6,7,8,9,11,13],[1,6,8,9,10,12,14],[2,3,7,8,9,13,14],[2,4,5,6,9,12,13],[2,4,7,8,11,12,14],[2,4,7,9,10,11,14],[2,5,6,7,10,11,13],[2,5,6,8,9,12,14],[2,5,8,10,11,12,13],[3,4,5,9,10,11,14],[3,4,6,7,8,10,12],[3,4,6,8,11,13,14],[3,4,6,9,11,12,13],[3,5,6,7,10,12,14],[3,5,7,8,9,10,13]]; G[1009]:=Group([(1,10)(3,11)(4,13)(9,12)]); # Design 1010: autom. group order 2, simple B[1010]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,10,12],[1,2,3,11,12,13,14],[1,2,4,6,12,13,14],[1,3,5,8,11,13,14],[1,4,5,7,9,10,13],[1,4,5,10,11,12,14],[1,4,7,8,9,11,14],[1,5,6,7,9,12,14],[1,6,7,8,10,11,13],[1,6,8,9,10,12,13],[2,3,7,9,10,13,14],[2,4,5,8,10,11,13],[2,4,6,7,8,11,12],[2,4,6,8,9,13,14],[2,5,6,9,10,11,14],[2,5,7,8,10,12,14],[2,5,7,9,11,12,13],[3,4,5,6,10,12,13],[3,4,6,9,10,11,14],[3,4,7,8,10,12,14],[3,4,7,9,11,12,13],[3,5,6,7,8,13,14],[3,5,6,8,9,11,12]]; G[1010]:=Group([(2,3)(4,5)(6,8)(7,9)(11,12)]); # Design 1011: autom. group order 2, simple B[1011]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,10,12],[1,2,3,11,12,13,14],[1,2,4,6,12,13,14],[1,3,5,8,11,13,14],[1,4,5,7,9,10,13],[1,4,5,10,11,12,14],[1,4,7,8,9,11,14],[1,5,6,7,9,12,14],[1,6,7,8,10,11,13],[1,6,8,9,10,12,13],[2,3,7,9,10,13,14],[2,4,5,8,10,11,13],[2,4,6,7,8,13,14],[2,4,6,8,9,11,12],[2,5,6,9,10,11,14],[2,5,7,8,10,12,14],[2,5,7,9,11,12,13],[3,4,5,6,10,12,13],[3,4,6,9,10,11,14],[3,4,7,8,10,12,14],[3,4,7,9,11,12,13],[3,5,6,7,8,11,12],[3,5,6,8,9,13,14]]; G[1011]:=Group([(2,3)(4,5)(6,8)(7,9)(11,12)]); # Design 1012: autom. group order 2, simple B[1012]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,6,9,11,14],[1,3,5,7,9,12,14],[1,4,5,8,12,13,14],[1,4,5,9,10,11,13],[1,4,7,8,10,11,13],[1,5,6,10,12,13,14],[1,6,7,8,9,10,12],[1,6,7,8,9,11,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,12],[2,4,6,7,12,13,14],[2,4,6,8,9,12,13],[2,5,6,8,10,11,14],[2,5,7,8,9,10,12],[2,5,7,9,11,13,14],[3,4,5,6,8,10,14],[3,4,6,7,9,10,13],[3,4,7,8,11,12,14],[3,4,9,10,11,12,14],[3,5,6,7,8,11,13],[3,5,6,9,11,12,13]]; G[1012]:=Group([(1,12)(2,11)(5,14)(6,10)(7,9)]); # Design 1013: autom. group order 2, simple, residual B[1013]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,6,9,11,14],[1,3,5,7,9,12,14],[1,4,5,8,12,13,14],[1,4,5,9,10,11,13],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,10,12],[1,6,7,9,11,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,12],[2,4,6,7,12,13,14],[2,4,6,8,9,12,13],[2,5,6,8,10,11,14],[2,5,7,8,9,11,14],[2,5,7,9,10,12,13],[3,4,5,6,10,13,14],[3,4,6,7,8,9,10],[3,4,7,8,11,12,14],[3,4,9,10,11,12,14],[3,5,6,7,8,11,13],[3,5,6,9,11,12,13]]; G[1013]:=Group([(1,12)(2,11)(5,14)(6,10)(7,9)]); # Design 1014: autom. group order 2, simple B[1014]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,6,9,11,14],[1,3,5,7,9,12,14],[1,4,5,8,12,13,14],[1,4,5,9,10,11,13],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,11,14],[1,6,7,9,10,12,13],[2,3,8,9,10,13,14],[2,4,5,7,10,11,12],[2,4,6,7,12,13,14],[2,4,6,8,9,12,13],[2,5,6,8,10,11,14],[2,5,7,8,9,10,12],[2,5,7,9,11,13,14],[3,4,5,6,10,13,14],[3,4,6,7,8,9,10],[3,4,7,8,11,12,14],[3,4,9,10,11,12,14],[3,5,6,7,8,11,13],[3,5,6,9,11,12,13]]; G[1014]:=Group([(1,12)(2,11)(5,14)(6,10)(7,9)]); # Design 1015: autom. group order 2, simple B[1015]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,3,9,10,11,13],[1,2,4,6,12,13,14],[1,3,5,8,10,12,14],[1,4,5,7,10,11,14],[1,4,5,9,11,13,14],[1,4,7,8,10,11,12],[1,5,6,7,9,12,13],[1,6,7,8,9,11,12],[1,6,8,9,10,13,14],[2,3,7,9,11,12,14],[2,4,5,8,9,10,12],[2,4,6,7,9,10,14],[2,4,6,8,10,11,13],[2,5,6,7,8,11,14],[2,5,7,9,10,12,13],[2,5,8,11,12,13,14],[3,4,5,6,11,12,13],[3,4,6,8,9,12,14],[3,4,7,8,9,11,13],[3,4,7,10,12,13,14],[3,5,6,7,8,10,13],[3,5,6,9,10,11,14]]; G[1015]:=Group([(1,5)(2,11)(3,14)(6,13)(7,9)(8,10)]); # Design 1016: autom. group order 2, simple B[1016]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,3,9,10,11,13],[1,2,4,6,12,13,14],[1,3,5,8,10,12,14],[1,4,5,7,10,11,14],[1,4,5,9,11,13,14],[1,4,7,8,9,10,12],[1,5,6,7,11,12,13],[1,6,7,8,9,11,12],[1,6,8,9,10,13,14],[2,3,7,9,11,12,14],[2,4,5,8,10,11,12],[2,4,6,7,8,10,13],[2,4,6,9,10,11,14],[2,5,6,8,9,12,14],[2,5,7,8,9,11,13],[2,5,7,10,12,13,14],[3,4,5,6,9,12,13],[3,4,6,7,8,11,14],[3,4,7,9,10,12,13],[3,4,8,11,12,13,14],[3,5,6,7,9,10,14],[3,5,6,8,10,11,13]]; G[1016]:=Group([(1,4)(2,14)(3,11)(6,13)(7,9)(8,10)]); # Design 1017: autom. group order 2, simple, residual B[1017]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,12],[1,5,6,9,10,11,13],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,13,14],[2,4,6,9,10,13,14],[2,4,7,9,11,12,13],[2,5,6,7,8,9,13],[2,5,6,8,10,11,12],[2,5,7,8,11,12,14],[3,4,5,6,10,12,14],[3,4,6,7,8,9,12],[3,4,6,8,11,13,14],[3,4,7,8,10,11,13],[3,5,6,9,11,12,13],[3,5,7,9,10,12,14]]; G[1017]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1018: autom. group order 2, simple, residual B[1018]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,13],[1,5,6,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,12,14],[2,4,6,9,10,13,14],[2,4,7,9,11,12,13],[2,5,6,7,8,9,12],[2,5,6,8,10,11,13],[2,5,7,8,11,13,14],[3,4,5,6,10,13,14],[3,4,6,7,8,9,13],[3,4,6,8,11,12,14],[3,4,7,8,10,11,12],[3,5,6,9,11,12,13],[3,5,7,9,10,12,14]]; G[1018]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1019: autom. group order 2, simple, residual B[1019]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,12],[1,5,6,9,10,11,13],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,13,14],[2,4,6,9,10,13,14],[2,4,7,9,11,12,13],[2,5,6,7,8,9,13],[2,5,6,8,11,12,14],[2,5,7,8,10,11,12],[3,4,5,6,10,12,14],[3,4,6,7,8,9,12],[3,4,6,8,10,11,13],[3,4,7,8,11,13,14],[3,5,6,9,11,12,13],[3,5,7,9,10,12,14]]; G[1019]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1020: autom. group order 2, simple, residual B[1020]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,13],[1,5,6,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,12,14],[2,4,6,9,10,13,14],[2,4,7,9,11,12,13],[2,5,6,7,8,9,12],[2,5,6,8,11,13,14],[2,5,7,8,10,11,13],[3,4,5,6,10,13,14],[3,4,6,7,8,9,13],[3,4,6,8,10,11,12],[3,4,7,8,11,12,14],[3,5,6,9,11,12,13],[3,5,7,9,10,12,14]]; G[1020]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1021: autom. group order 2, simple, residual B[1021]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,12],[1,5,6,9,10,11,13],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,13,14],[2,4,6,9,11,12,13],[2,4,7,9,10,13,14],[2,5,6,7,8,9,12],[2,5,6,8,10,11,13],[2,5,7,8,11,12,14],[3,4,5,6,10,12,14],[3,4,6,7,8,9,13],[3,4,6,8,11,13,14],[3,4,7,8,10,11,12],[3,5,6,9,10,12,14],[3,5,7,9,11,12,13]]; G[1021]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1022: autom. group order 2, simple, residual B[1022]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,13],[1,5,6,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,12,14],[2,4,6,9,11,12,13],[2,4,7,9,10,13,14],[2,5,6,7,8,9,13],[2,5,6,8,10,11,13],[2,5,7,8,11,12,14],[3,4,5,6,10,13,14],[3,4,6,7,8,9,12],[3,4,6,8,11,13,14],[3,4,7,8,10,11,12],[3,5,6,9,10,12,14],[3,5,7,9,11,12,13]]; G[1022]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1023: autom. group order 2, simple, residual B[1023]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,12],[1,5,6,9,10,11,13],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,13,14],[2,4,6,9,11,12,13],[2,4,7,9,10,13,14],[2,5,6,7,8,9,12],[2,5,6,8,11,13,14],[2,5,7,8,10,11,12],[3,4,5,6,10,12,14],[3,4,6,7,8,9,13],[3,4,6,8,10,11,13],[3,4,7,8,11,12,14],[3,5,6,9,10,12,14],[3,5,7,9,11,12,13]]; G[1023]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1024: autom. group order 2, simple, residual B[1024]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,13],[1,5,6,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,12,14],[2,4,6,9,11,12,13],[2,4,7,9,10,13,14],[2,5,6,7,8,9,13],[2,5,6,8,11,13,14],[2,5,7,8,10,11,12],[3,4,5,6,10,13,14],[3,4,6,7,8,9,12],[3,4,6,8,10,11,13],[3,4,7,8,11,12,14],[3,5,6,9,10,12,14],[3,5,7,9,11,12,13]]; G[1024]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1025: autom. group order 2, simple, residual B[1025]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,9,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,13],[2,4,6,9,11,13,14],[2,4,7,10,11,12,13],[2,5,6,7,8,13,14],[2,5,6,8,9,11,12],[2,5,7,8,10,12,14],[3,4,5,6,9,10,12],[3,4,6,7,8,12,14],[3,4,6,8,10,13,14],[3,4,7,8,9,11,13],[3,5,6,10,11,12,13],[3,5,7,9,11,12,14]]; G[1025]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1026: autom. group order 2, simple, residual B[1026]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,12],[2,4,6,9,11,13,14],[2,4,7,10,11,12,13],[2,5,6,7,8,12,14],[2,5,6,8,9,11,13],[2,5,7,8,10,13,14],[3,4,5,6,9,10,13],[3,4,6,7,8,13,14],[3,4,6,8,10,12,14],[3,4,7,8,9,11,12],[3,5,6,10,11,12,13],[3,5,7,9,11,12,14]]; G[1026]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1027: autom. group order 2, simple, residual B[1027]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,9,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,13],[2,4,6,9,11,13,14],[2,4,7,10,11,12,13],[2,5,6,7,8,13,14],[2,5,6,8,10,12,14],[2,5,7,8,9,11,12],[3,4,5,6,9,10,12],[3,4,6,7,8,12,14],[3,4,6,8,9,11,13],[3,4,7,8,10,13,14],[3,5,6,10,11,12,13],[3,5,7,9,11,12,14]]; G[1027]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1028: autom. group order 2, simple, residual B[1028]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,12],[2,4,6,9,11,13,14],[2,4,7,10,11,12,13],[2,5,6,7,8,12,14],[2,5,6,8,10,13,14],[2,5,7,8,9,11,13],[3,4,5,6,9,10,13],[3,4,6,7,8,13,14],[3,4,6,8,9,11,12],[3,4,7,8,10,12,14],[3,5,6,10,11,12,13],[3,5,7,9,11,12,14]]; G[1028]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1029: autom. group order 2, simple, residual B[1029]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,9,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,13],[2,4,6,10,11,12,13],[2,4,7,9,11,13,14],[2,5,6,7,8,12,14],[2,5,6,8,9,11,13],[2,5,7,8,10,12,14],[3,4,5,6,9,10,12],[3,4,6,7,8,13,14],[3,4,6,8,10,13,14],[3,4,7,8,9,11,12],[3,5,6,9,11,12,14],[3,5,7,10,11,12,13]]; G[1029]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1030: autom. group order 2, simple, residual B[1030]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,12],[2,4,6,10,11,12,13],[2,4,7,9,11,13,14],[2,5,6,7,8,13,14],[2,5,6,8,9,11,13],[2,5,7,8,10,12,14],[3,4,5,6,9,10,13],[3,4,6,7,8,12,14],[3,4,6,8,10,13,14],[3,4,7,8,9,11,12],[3,5,6,9,11,12,14],[3,5,7,10,11,12,13]]; G[1030]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1031: autom. group order 2, simple, residual B[1031]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,9,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,13],[2,4,6,10,11,12,13],[2,4,7,9,11,13,14],[2,5,6,7,8,12,14],[2,5,6,8,10,13,14],[2,5,7,8,9,11,12],[3,4,5,6,9,10,12],[3,4,6,7,8,13,14],[3,4,6,8,9,11,13],[3,4,7,8,10,12,14],[3,5,6,9,11,12,14],[3,5,7,10,11,12,13]]; G[1031]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1032: autom. group order 2, simple, residual B[1032]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,12],[2,4,6,10,11,12,13],[2,4,7,9,11,13,14],[2,5,6,7,8,13,14],[2,5,6,8,10,13,14],[2,5,7,8,9,11,12],[3,4,5,6,9,10,13],[3,4,6,7,8,12,14],[3,4,6,8,9,11,13],[3,4,7,8,10,12,14],[3,5,6,9,11,12,14],[3,5,7,10,11,12,13]]; G[1032]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1033: autom. group order 2, simple, residual B[1033]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,12],[1,5,6,9,10,11,13],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,12,14],[2,4,6,9,10,13,14],[2,4,7,8,10,11,13],[2,5,6,7,8,9,12],[2,5,6,9,11,12,13],[2,5,7,8,11,13,14],[3,4,5,6,10,13,14],[3,4,6,7,8,9,13],[3,4,6,8,11,12,14],[3,4,7,9,11,12,13],[3,5,6,8,10,11,12],[3,5,7,9,10,12,14]]; G[1033]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1034: autom. group order 2, simple, residual B[1034]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,13],[1,5,6,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,13,14],[2,4,6,9,10,13,14],[2,4,7,8,10,11,12],[2,5,6,7,8,9,13],[2,5,6,9,11,12,13],[2,5,7,8,11,12,14],[3,4,5,6,10,12,14],[3,4,6,7,8,9,12],[3,4,6,8,11,13,14],[3,4,7,9,11,12,13],[3,5,6,8,10,11,13],[3,5,7,9,10,12,14]]; G[1034]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1035: autom. group order 2, simple, residual B[1035]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,12],[1,5,6,9,10,11,13],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,12,14],[2,4,6,9,10,13,14],[2,4,7,8,11,13,14],[2,5,6,7,8,9,12],[2,5,6,9,11,12,13],[2,5,7,8,10,11,13],[3,4,5,6,10,13,14],[3,4,6,7,8,9,13],[3,4,6,8,10,11,12],[3,4,7,9,11,12,13],[3,5,6,8,11,12,14],[3,5,7,9,10,12,14]]; G[1035]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1036: autom. group order 2, simple, residual B[1036]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,13],[1,5,6,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,13,14],[2,4,6,9,10,13,14],[2,4,7,8,11,12,14],[2,5,6,7,8,9,13],[2,5,6,9,11,12,13],[2,5,7,8,10,11,12],[3,4,5,6,10,12,14],[3,4,6,7,8,9,12],[3,4,6,8,10,11,13],[3,4,7,9,11,12,13],[3,5,6,8,11,13,14],[3,5,7,9,10,12,14]]; G[1036]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1037: autom. group order 2, simple, residual B[1037]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,12],[1,5,6,9,10,11,13],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,13,14],[2,4,6,9,11,12,13],[2,4,7,8,10,11,13],[2,5,6,7,8,9,12],[2,5,6,9,10,13,14],[2,5,7,8,11,12,14],[3,4,5,6,10,12,14],[3,4,6,7,8,9,13],[3,4,6,8,11,13,14],[3,4,7,9,10,12,14],[3,5,6,8,10,11,12],[3,5,7,9,11,12,13]]; G[1037]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1038: autom. group order 2, simple, residual B[1038]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,13],[1,5,6,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,12,14],[2,4,6,9,11,12,13],[2,4,7,8,10,11,13],[2,5,6,7,8,9,13],[2,5,6,9,10,13,14],[2,5,7,8,11,12,14],[3,4,5,6,10,13,14],[3,4,6,7,8,9,12],[3,4,6,8,11,13,14],[3,4,7,9,10,12,14],[3,5,6,8,10,11,12],[3,5,7,9,11,12,13]]; G[1038]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1039: autom. group order 2, simple, residual B[1039]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,12],[1,5,6,9,10,11,13],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,13,14],[2,4,6,9,11,12,13],[2,4,7,8,11,13,14],[2,5,6,7,8,9,12],[2,5,6,9,10,13,14],[2,5,7,8,10,11,12],[3,4,5,6,10,12,14],[3,4,6,7,8,9,13],[3,4,6,8,10,11,13],[3,4,7,9,10,12,14],[3,5,6,8,11,12,14],[3,5,7,9,11,12,13]]; G[1039]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1040: autom. group order 2, simple, residual B[1040]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,13],[1,5,6,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,12,14],[2,4,6,9,11,12,13],[2,4,7,8,11,13,14],[2,5,6,7,8,9,13],[2,5,6,9,10,13,14],[2,5,7,8,10,11,12],[3,4,5,6,10,13,14],[3,4,6,7,8,9,12],[3,4,6,8,10,11,13],[3,4,7,9,10,12,14],[3,5,6,8,11,12,14],[3,5,7,9,11,12,13]]; G[1040]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1041: autom. group order 2, simple, residual B[1041]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,9,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,12],[2,4,6,9,11,13,14],[2,4,7,8,9,11,13],[2,5,6,7,8,12,14],[2,5,6,10,11,12,13],[2,5,7,8,10,13,14],[3,4,5,6,9,10,13],[3,4,6,7,8,13,14],[3,4,6,8,10,12,14],[3,4,7,10,11,12,13],[3,5,6,8,9,11,12],[3,5,7,9,11,12,14]]; G[1041]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1042: autom. group order 2, simple, residual B[1042]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,13],[2,4,6,9,11,13,14],[2,4,7,8,9,11,12],[2,5,6,7,8,13,14],[2,5,6,10,11,12,13],[2,5,7,8,10,12,14],[3,4,5,6,9,10,12],[3,4,6,7,8,12,14],[3,4,6,8,10,13,14],[3,4,7,10,11,12,13],[3,5,6,8,9,11,13],[3,5,7,9,11,12,14]]; G[1042]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1043: autom. group order 2, simple, residual B[1043]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,9,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,12],[2,4,6,9,11,13,14],[2,4,7,8,10,13,14],[2,5,6,7,8,12,14],[2,5,6,10,11,12,13],[2,5,7,8,9,11,13],[3,4,5,6,9,10,13],[3,4,6,7,8,13,14],[3,4,6,8,9,11,12],[3,4,7,10,11,12,13],[3,5,6,8,10,12,14],[3,5,7,9,11,12,14]]; G[1043]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1044: autom. group order 2, simple, residual B[1044]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,13],[2,4,6,9,11,13,14],[2,4,7,8,10,12,14],[2,5,6,7,8,13,14],[2,5,6,10,11,12,13],[2,5,7,8,9,11,12],[3,4,5,6,9,10,12],[3,4,6,7,8,12,14],[3,4,6,8,9,11,13],[3,4,7,10,11,12,13],[3,5,6,8,10,13,14],[3,5,7,9,11,12,14]]; G[1044]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1045: autom. group order 2, simple, residual B[1045]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,9,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,13],[2,4,6,10,11,12,13],[2,4,7,8,9,11,13],[2,5,6,7,8,12,14],[2,5,6,9,11,13,14],[2,5,7,8,10,12,14],[3,4,5,6,9,10,12],[3,4,6,7,8,13,14],[3,4,6,8,10,13,14],[3,4,7,9,11,12,14],[3,5,6,8,9,11,12],[3,5,7,10,11,12,13]]; G[1045]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1046: autom. group order 2, simple, residual B[1046]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,12],[2,4,6,10,11,12,13],[2,4,7,8,9,11,13],[2,5,6,7,8,13,14],[2,5,6,9,11,13,14],[2,5,7,8,10,12,14],[3,4,5,6,9,10,13],[3,4,6,7,8,12,14],[3,4,6,8,10,13,14],[3,4,7,9,11,12,14],[3,5,6,8,9,11,12],[3,5,7,10,11,12,13]]; G[1046]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1047: autom. group order 2, simple, residual B[1047]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,9,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,13],[2,4,6,10,11,12,13],[2,4,7,8,10,13,14],[2,5,6,7,8,12,14],[2,5,6,9,11,13,14],[2,5,7,8,9,11,12],[3,4,5,6,9,10,12],[3,4,6,7,8,13,14],[3,4,6,8,9,11,13],[3,4,7,9,11,12,14],[3,5,6,8,10,12,14],[3,5,7,10,11,12,13]]; G[1047]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1048: autom. group order 2, simple, residual B[1048]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,12],[2,4,6,10,11,12,13],[2,4,7,8,10,13,14],[2,5,6,7,8,13,14],[2,5,6,9,11,13,14],[2,5,7,8,9,11,12],[3,4,5,6,9,10,13],[3,4,6,7,8,12,14],[3,4,6,8,9,11,13],[3,4,7,9,11,12,14],[3,5,6,8,10,12,14],[3,5,7,10,11,12,13]]; G[1048]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1049: autom. group order 2, simple, residual B[1049]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,12],[1,5,6,9,10,11,13],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,12,14],[2,4,6,9,10,13,14],[2,4,7,8,10,11,13],[2,5,6,7,8,9,13],[2,5,6,8,11,12,14],[2,5,7,9,11,12,13],[3,4,5,6,10,13,14],[3,4,6,7,8,9,12],[3,4,6,9,11,12,13],[3,4,7,8,11,13,14],[3,5,6,8,10,11,12],[3,5,7,9,10,12,14]]; G[1049]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1050: autom. group order 2, simple, residual B[1050]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,13],[1,5,6,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,13,14],[2,4,6,9,10,13,14],[2,4,7,8,10,11,12],[2,5,6,7,8,9,12],[2,5,6,8,11,13,14],[2,5,7,9,11,12,13],[3,4,5,6,10,12,14],[3,4,6,7,8,9,13],[3,4,6,9,11,12,13],[3,4,7,8,11,12,14],[3,5,6,8,10,11,13],[3,5,7,9,10,12,14]]; G[1050]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1051: autom. group order 2, simple, residual B[1051]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,12],[1,5,6,9,10,11,13],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,12,14],[2,4,6,9,10,13,14],[2,4,7,8,11,13,14],[2,5,6,7,8,9,13],[2,5,6,8,10,11,12],[2,5,7,9,11,12,13],[3,4,5,6,10,13,14],[3,4,6,7,8,9,12],[3,4,6,9,11,12,13],[3,4,7,8,10,11,13],[3,5,6,8,11,12,14],[3,5,7,9,10,12,14]]; G[1051]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1052: autom. group order 2, simple, residual B[1052]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,13],[1,5,6,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,13,14],[2,4,6,9,10,13,14],[2,4,7,8,11,12,14],[2,5,6,7,8,9,12],[2,5,6,8,10,11,13],[2,5,7,9,11,12,13],[3,4,5,6,10,12,14],[3,4,6,7,8,9,13],[3,4,6,9,11,12,13],[3,4,7,8,10,11,12],[3,5,6,8,11,13,14],[3,5,7,9,10,12,14]]; G[1052]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1053: autom. group order 2, simple, residual B[1053]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,12],[1,5,6,9,10,11,13],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,13,14],[2,4,6,9,11,12,13],[2,4,7,8,10,11,13],[2,5,6,7,8,9,12],[2,5,6,8,11,13,14],[2,5,7,9,10,12,14],[3,4,5,6,10,12,14],[3,4,6,7,8,9,13],[3,4,6,9,10,13,14],[3,4,7,8,11,12,14],[3,5,6,8,10,11,12],[3,5,7,9,11,12,13]]; G[1053]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1054: autom. group order 2, simple, residual B[1054]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,13],[1,5,6,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,12,14],[2,4,6,9,11,12,13],[2,4,7,8,10,11,13],[2,5,6,7,8,9,13],[2,5,6,8,11,13,14],[2,5,7,9,10,12,14],[3,4,5,6,10,13,14],[3,4,6,7,8,9,12],[3,4,6,9,10,13,14],[3,4,7,8,11,12,14],[3,5,6,8,10,11,12],[3,5,7,9,11,12,13]]; G[1054]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1055: autom. group order 2, simple, residual B[1055]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,12],[1,5,6,9,10,11,13],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,13,14],[2,4,6,9,11,12,13],[2,4,7,8,11,13,14],[2,5,6,7,8,9,12],[2,5,6,8,10,11,13],[2,5,7,9,10,12,14],[3,4,5,6,10,12,14],[3,4,6,7,8,9,13],[3,4,6,9,10,13,14],[3,4,7,8,10,11,12],[3,5,6,8,11,12,14],[3,5,7,9,11,12,13]]; G[1055]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1056: autom. group order 2, simple, residual B[1056]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,13],[1,5,6,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,12,14],[2,4,6,9,11,12,13],[2,4,7,8,11,13,14],[2,5,6,7,8,9,13],[2,5,6,8,10,11,13],[2,5,7,9,10,12,14],[3,4,5,6,10,13,14],[3,4,6,7,8,9,12],[3,4,6,9,10,13,14],[3,4,7,8,10,11,12],[3,5,6,8,11,12,14],[3,5,7,9,11,12,13]]; G[1056]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1057: autom. group order 2, simple, residual B[1057]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,9,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,12],[2,4,6,9,11,13,14],[2,4,7,8,9,11,13],[2,5,6,7,8,13,14],[2,5,6,8,10,12,14],[2,5,7,10,11,12,13],[3,4,5,6,9,10,13],[3,4,6,7,8,12,14],[3,4,6,10,11,12,13],[3,4,7,8,10,13,14],[3,5,6,8,9,11,12],[3,5,7,9,11,12,14]]; G[1057]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1058: autom. group order 2, simple, residual B[1058]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,13],[2,4,6,9,11,13,14],[2,4,7,8,9,11,12],[2,5,6,7,8,12,14],[2,5,6,8,10,13,14],[2,5,7,10,11,12,13],[3,4,5,6,9,10,12],[3,4,6,7,8,13,14],[3,4,6,10,11,12,13],[3,4,7,8,10,12,14],[3,5,6,8,9,11,13],[3,5,7,9,11,12,14]]; G[1058]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1059: autom. group order 2, simple, residual B[1059]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,9,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,12],[2,4,6,9,11,13,14],[2,4,7,8,10,13,14],[2,5,6,7,8,13,14],[2,5,6,8,9,11,12],[2,5,7,10,11,12,13],[3,4,5,6,9,10,13],[3,4,6,7,8,12,14],[3,4,6,10,11,12,13],[3,4,7,8,9,11,13],[3,5,6,8,10,12,14],[3,5,7,9,11,12,14]]; G[1059]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1060: autom. group order 2, simple, residual B[1060]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,13],[2,4,6,9,11,13,14],[2,4,7,8,10,12,14],[2,5,6,7,8,12,14],[2,5,6,8,9,11,13],[2,5,7,10,11,12,13],[3,4,5,6,9,10,12],[3,4,6,7,8,13,14],[3,4,6,10,11,12,13],[3,4,7,8,9,11,12],[3,5,6,8,10,13,14],[3,5,7,9,11,12,14]]; G[1060]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1061: autom. group order 2, simple, residual B[1061]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,9,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,13],[2,4,6,10,11,12,13],[2,4,7,8,9,11,13],[2,5,6,7,8,12,14],[2,5,6,8,10,13,14],[2,5,7,9,11,12,14],[3,4,5,6,9,10,12],[3,4,6,7,8,13,14],[3,4,6,9,11,13,14],[3,4,7,8,10,12,14],[3,5,6,8,9,11,12],[3,5,7,10,11,12,13]]; G[1061]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1062: autom. group order 2, simple, residual B[1062]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,12],[2,4,6,10,11,12,13],[2,4,7,8,9,11,13],[2,5,6,7,8,13,14],[2,5,6,8,10,13,14],[2,5,7,9,11,12,14],[3,4,5,6,9,10,13],[3,4,6,7,8,12,14],[3,4,6,9,11,13,14],[3,4,7,8,10,12,14],[3,5,6,8,9,11,12],[3,5,7,10,11,12,13]]; G[1062]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1063: autom. group order 2, simple, residual B[1063]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,9,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,13],[2,4,6,10,11,12,13],[2,4,7,8,10,13,14],[2,5,6,7,8,12,14],[2,5,6,8,9,11,13],[2,5,7,9,11,12,14],[3,4,5,6,9,10,12],[3,4,6,7,8,13,14],[3,4,6,9,11,13,14],[3,4,7,8,9,11,12],[3,5,6,8,10,12,14],[3,5,7,10,11,12,13]]; G[1063]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1064: autom. group order 2, simple, residual B[1064]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,12],[2,4,6,10,11,12,13],[2,4,7,8,10,13,14],[2,5,6,7,8,13,14],[2,5,6,8,9,11,13],[2,5,7,9,11,12,14],[3,4,5,6,9,10,13],[3,4,6,7,8,12,14],[3,4,6,9,11,13,14],[3,4,7,8,9,11,12],[3,5,6,8,10,12,14],[3,5,7,10,11,12,13]]; G[1064]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1065: autom. group order 2, simple, residual B[1065]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,12],[1,5,6,9,10,11,13],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,12,14],[2,4,6,8,10,11,13],[2,4,7,9,10,13,14],[2,5,6,7,8,9,12],[2,5,6,9,11,12,13],[2,5,7,8,11,13,14],[3,4,5,6,10,13,14],[3,4,6,7,8,9,13],[3,4,6,8,11,12,14],[3,4,7,9,11,12,13],[3,5,6,9,10,12,14],[3,5,7,8,10,11,12]]; G[1065]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1066: autom. group order 2, simple, residual B[1066]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,13],[1,5,6,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,13,14],[2,4,6,8,10,11,13],[2,4,7,9,10,12,14],[2,5,6,7,8,9,13],[2,5,6,9,11,12,13],[2,5,7,8,11,12,14],[3,4,5,6,10,12,14],[3,4,6,7,8,9,12],[3,4,6,8,11,13,14],[3,4,7,9,11,12,13],[3,5,6,9,10,13,14],[3,5,7,8,10,11,12]]; G[1066]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1067: autom. group order 2, simple, residual B[1067]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,12],[1,5,6,9,10,11,13],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,13,14],[2,4,6,8,10,11,13],[2,4,7,9,11,12,13],[2,5,6,7,8,9,13],[2,5,6,9,10,12,14],[2,5,7,8,11,12,14],[3,4,5,6,10,12,14],[3,4,6,7,8,9,12],[3,4,6,8,11,13,14],[3,4,7,9,10,13,14],[3,5,6,9,11,12,13],[3,5,7,8,10,11,12]]; G[1067]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1068: autom. group order 2, simple, residual B[1068]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,13],[1,5,6,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,12,14],[2,4,6,8,10,11,13],[2,4,7,9,11,12,13],[2,5,6,7,8,9,12],[2,5,6,9,10,13,14],[2,5,7,8,11,13,14],[3,4,5,6,10,13,14],[3,4,6,7,8,9,13],[3,4,6,8,11,12,14],[3,4,7,9,10,12,14],[3,5,6,9,11,12,13],[3,5,7,8,10,11,12]]; G[1068]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1069: autom. group order 2, simple, residual B[1069]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,12],[1,5,6,9,10,11,13],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,12,14],[2,4,6,8,11,13,14],[2,4,7,9,10,13,14],[2,5,6,7,8,9,12],[2,5,6,9,11,12,13],[2,5,7,8,10,11,13],[3,4,5,6,10,13,14],[3,4,6,7,8,9,13],[3,4,6,8,10,11,12],[3,4,7,9,11,12,13],[3,5,6,9,10,12,14],[3,5,7,8,11,12,14]]; G[1069]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1070: autom. group order 2, simple, residual B[1070]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,13],[1,5,6,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,13,14],[2,4,6,8,11,13,14],[2,4,7,9,10,12,14],[2,5,6,7,8,9,13],[2,5,6,9,11,12,13],[2,5,7,8,10,11,12],[3,4,5,6,10,12,14],[3,4,6,7,8,9,12],[3,4,6,8,10,11,13],[3,4,7,9,11,12,13],[3,5,6,9,10,13,14],[3,5,7,8,11,12,14]]; G[1070]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1071: autom. group order 2, simple, residual B[1071]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,12],[1,5,6,9,10,11,13],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,13,14],[2,4,6,8,11,13,14],[2,4,7,9,11,12,13],[2,5,6,7,8,9,13],[2,5,6,9,10,12,14],[2,5,7,8,10,11,12],[3,4,5,6,10,12,14],[3,4,6,7,8,9,12],[3,4,6,8,10,11,13],[3,4,7,9,10,13,14],[3,5,6,9,11,12,13],[3,5,7,8,11,12,14]]; G[1071]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1072: autom. group order 2, simple, residual B[1072]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,13],[1,5,6,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,12,14],[2,4,6,8,11,13,14],[2,4,7,9,11,12,13],[2,5,6,7,8,9,12],[2,5,6,9,10,13,14],[2,5,7,8,10,11,13],[3,4,5,6,10,13,14],[3,4,6,7,8,9,13],[3,4,6,8,10,11,12],[3,4,7,9,10,12,14],[3,5,6,9,11,12,13],[3,5,7,8,11,12,14]]; G[1072]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1073: autom. group order 2, simple, residual B[1073]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,9,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,12],[2,4,6,8,9,11,13],[2,4,7,9,11,13,14],[2,5,6,7,8,12,14],[2,5,6,10,11,12,13],[2,5,7,8,10,13,14],[3,4,5,6,9,10,13],[3,4,6,7,8,13,14],[3,4,6,8,10,12,14],[3,4,7,10,11,12,13],[3,5,6,9,11,12,14],[3,5,7,8,9,11,12]]; G[1073]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1074: autom. group order 2, simple, residual B[1074]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,13],[2,4,6,8,9,11,13],[2,4,7,9,11,12,14],[2,5,6,7,8,13,14],[2,5,6,10,11,12,13],[2,5,7,8,10,12,14],[3,4,5,6,9,10,12],[3,4,6,7,8,12,14],[3,4,6,8,10,13,14],[3,4,7,10,11,12,13],[3,5,6,9,11,13,14],[3,5,7,8,9,11,12]]; G[1074]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1075: autom. group order 2, simple, residual B[1075]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,9,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,13],[2,4,6,8,9,11,13],[2,4,7,10,11,12,13],[2,5,6,7,8,13,14],[2,5,6,9,11,12,14],[2,5,7,8,10,12,14],[3,4,5,6,9,10,12],[3,4,6,7,8,12,14],[3,4,6,8,10,13,14],[3,4,7,9,11,13,14],[3,5,6,10,11,12,13],[3,5,7,8,9,11,12]]; G[1075]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1076: autom. group order 2, simple, residual B[1076]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,12],[2,4,6,8,9,11,13],[2,4,7,10,11,12,13],[2,5,6,7,8,12,14],[2,5,6,9,11,13,14],[2,5,7,8,10,13,14],[3,4,5,6,9,10,13],[3,4,6,7,8,13,14],[3,4,6,8,10,12,14],[3,4,7,9,11,12,14],[3,5,6,10,11,12,13],[3,5,7,8,9,11,12]]; G[1076]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1077: autom. group order 2, simple, residual B[1077]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,9,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,12],[2,4,6,8,10,13,14],[2,4,7,9,11,13,14],[2,5,6,7,8,12,14],[2,5,6,10,11,12,13],[2,5,7,8,9,11,13],[3,4,5,6,9,10,13],[3,4,6,7,8,13,14],[3,4,6,8,9,11,12],[3,4,7,10,11,12,13],[3,5,6,9,11,12,14],[3,5,7,8,10,12,14]]; G[1077]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1078: autom. group order 2, simple, residual B[1078]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,13],[2,4,6,8,10,13,14],[2,4,7,9,11,12,14],[2,5,6,7,8,13,14],[2,5,6,10,11,12,13],[2,5,7,8,9,11,12],[3,4,5,6,9,10,12],[3,4,6,7,8,12,14],[3,4,6,8,9,11,13],[3,4,7,10,11,12,13],[3,5,6,9,11,13,14],[3,5,7,8,10,12,14]]; G[1078]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1079: autom. group order 2, simple, residual B[1079]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,9,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,13],[2,4,6,8,10,13,14],[2,4,7,10,11,12,13],[2,5,6,7,8,13,14],[2,5,6,9,11,12,14],[2,5,7,8,9,11,12],[3,4,5,6,9,10,12],[3,4,6,7,8,12,14],[3,4,6,8,9,11,13],[3,4,7,9,11,13,14],[3,5,6,10,11,12,13],[3,5,7,8,10,12,14]]; G[1079]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1080: autom. group order 2, simple, residual B[1080]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,12],[2,4,6,8,10,13,14],[2,4,7,10,11,12,13],[2,5,6,7,8,12,14],[2,5,6,9,11,13,14],[2,5,7,8,9,11,13],[3,4,5,6,9,10,13],[3,4,6,7,8,13,14],[3,4,6,8,9,11,12],[3,4,7,9,11,12,14],[3,5,6,10,11,12,13],[3,5,7,8,10,12,14]]; G[1080]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1081: autom. group order 2, simple, residual B[1081]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,12],[1,5,6,9,10,11,13],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,12,14],[2,4,6,8,10,11,13],[2,4,7,9,10,13,14],[2,5,6,7,8,9,13],[2,5,6,8,11,12,14],[2,5,7,9,11,12,13],[3,4,5,6,10,13,14],[3,4,6,7,8,9,12],[3,4,6,9,11,12,13],[3,4,7,8,11,13,14],[3,5,6,9,10,12,14],[3,5,7,8,10,11,12]]; G[1081]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1082: autom. group order 2, simple, residual B[1082]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,13],[1,5,6,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,13,14],[2,4,6,8,10,11,13],[2,4,7,9,10,12,14],[2,5,6,7,8,9,12],[2,5,6,8,11,13,14],[2,5,7,9,11,12,13],[3,4,5,6,10,12,14],[3,4,6,7,8,9,13],[3,4,6,9,11,12,13],[3,4,7,8,11,12,14],[3,5,6,9,10,13,14],[3,5,7,8,10,11,12]]; G[1082]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1083: autom. group order 2, simple, residual B[1083]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,12],[1,5,6,9,10,11,13],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,13,14],[2,4,6,8,10,11,13],[2,4,7,9,11,12,13],[2,5,6,7,8,9,13],[2,5,6,8,11,12,14],[2,5,7,9,10,12,14],[3,4,5,6,10,12,14],[3,4,6,7,8,9,12],[3,4,6,9,10,13,14],[3,4,7,8,11,13,14],[3,5,6,9,11,12,13],[3,5,7,8,10,11,12]]; G[1083]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1084: autom. group order 2, simple, residual B[1084]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,13],[1,5,6,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,12,14],[2,4,6,8,10,11,13],[2,4,7,9,11,12,13],[2,5,6,7,8,9,12],[2,5,6,8,11,13,14],[2,5,7,9,10,13,14],[3,4,5,6,10,13,14],[3,4,6,7,8,9,13],[3,4,6,9,10,12,14],[3,4,7,8,11,12,14],[3,5,6,9,11,12,13],[3,5,7,8,10,11,12]]; G[1084]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1085: autom. group order 2, simple, residual B[1085]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,12],[1,5,6,9,10,11,13],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,12,14],[2,4,6,8,11,13,14],[2,4,7,9,10,13,14],[2,5,6,7,8,9,13],[2,5,6,8,10,11,12],[2,5,7,9,11,12,13],[3,4,5,6,10,13,14],[3,4,6,7,8,9,12],[3,4,6,9,11,12,13],[3,4,7,8,10,11,13],[3,5,6,9,10,12,14],[3,5,7,8,11,12,14]]; G[1085]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1086: autom. group order 2, simple, residual B[1086]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,13],[1,5,6,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,13,14],[2,4,6,8,11,13,14],[2,4,7,9,10,12,14],[2,5,6,7,8,9,12],[2,5,6,8,10,11,13],[2,5,7,9,11,12,13],[3,4,5,6,10,12,14],[3,4,6,7,8,9,13],[3,4,6,9,11,12,13],[3,4,7,8,10,11,12],[3,5,6,9,10,13,14],[3,5,7,8,11,12,14]]; G[1086]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1087: autom. group order 2, simple, residual B[1087]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,12],[1,5,6,9,10,11,13],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,13,14],[2,4,6,8,11,13,14],[2,4,7,9,11,12,13],[2,5,6,7,8,9,13],[2,5,6,8,10,11,12],[2,5,7,9,10,12,14],[3,4,5,6,10,12,14],[3,4,6,7,8,9,12],[3,4,6,9,10,13,14],[3,4,7,8,10,11,13],[3,5,6,9,11,12,13],[3,5,7,8,11,12,14]]; G[1087]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1088: autom. group order 2, simple, residual B[1088]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,13],[1,5,6,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,12,14],[2,4,6,8,11,13,14],[2,4,7,9,11,12,13],[2,5,6,7,8,9,12],[2,5,6,8,10,11,13],[2,5,7,9,10,13,14],[3,4,5,6,10,13,14],[3,4,6,7,8,9,13],[3,4,6,9,10,12,14],[3,4,7,8,10,11,12],[3,5,6,9,11,12,13],[3,5,7,8,11,12,14]]; G[1088]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1089: autom. group order 2, simple, residual B[1089]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,9,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,12],[2,4,6,8,9,11,13],[2,4,7,9,11,13,14],[2,5,6,7,8,13,14],[2,5,6,8,10,12,14],[2,5,7,10,11,12,13],[3,4,5,6,9,10,13],[3,4,6,7,8,12,14],[3,4,6,10,11,12,13],[3,4,7,8,10,13,14],[3,5,6,9,11,12,14],[3,5,7,8,9,11,12]]; G[1089]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1090: autom. group order 2, simple, residual B[1090]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,13],[2,4,6,8,9,11,13],[2,4,7,9,11,12,14],[2,5,6,7,8,12,14],[2,5,6,8,10,13,14],[2,5,7,10,11,12,13],[3,4,5,6,9,10,12],[3,4,6,7,8,13,14],[3,4,6,10,11,12,13],[3,4,7,8,10,12,14],[3,5,6,9,11,13,14],[3,5,7,8,9,11,12]]; G[1090]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1091: autom. group order 2, simple, residual B[1091]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,9,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,13],[2,4,6,8,9,11,13],[2,4,7,10,11,12,13],[2,5,6,7,8,13,14],[2,5,6,8,10,12,14],[2,5,7,9,11,12,14],[3,4,5,6,9,10,12],[3,4,6,7,8,12,14],[3,4,6,9,11,13,14],[3,4,7,8,10,13,14],[3,5,6,10,11,12,13],[3,5,7,8,9,11,12]]; G[1091]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1092: autom. group order 2, simple, residual B[1092]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,12],[2,4,6,8,9,11,13],[2,4,7,10,11,12,13],[2,5,6,7,8,12,14],[2,5,6,8,10,13,14],[2,5,7,9,11,13,14],[3,4,5,6,9,10,13],[3,4,6,7,8,13,14],[3,4,6,9,11,12,14],[3,4,7,8,10,12,14],[3,5,6,10,11,12,13],[3,5,7,8,9,11,12]]; G[1092]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1093: autom. group order 2, simple, residual B[1093]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,9,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,12],[2,4,6,8,10,13,14],[2,4,7,9,11,13,14],[2,5,6,7,8,13,14],[2,5,6,8,9,11,12],[2,5,7,10,11,12,13],[3,4,5,6,9,10,13],[3,4,6,7,8,12,14],[3,4,6,10,11,12,13],[3,4,7,8,9,11,13],[3,5,6,9,11,12,14],[3,5,7,8,10,12,14]]; G[1093]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1094: autom. group order 2, simple, residual B[1094]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,13],[2,4,6,8,10,13,14],[2,4,7,9,11,12,14],[2,5,6,7,8,12,14],[2,5,6,8,9,11,13],[2,5,7,10,11,12,13],[3,4,5,6,9,10,12],[3,4,6,7,8,13,14],[3,4,6,10,11,12,13],[3,4,7,8,9,11,12],[3,5,6,9,11,13,14],[3,5,7,8,10,12,14]]; G[1094]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1095: autom. group order 2, simple, residual B[1095]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,9,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,13],[2,4,6,8,10,13,14],[2,4,7,10,11,12,13],[2,5,6,7,8,13,14],[2,5,6,8,9,11,12],[2,5,7,9,11,12,14],[3,4,5,6,9,10,12],[3,4,6,7,8,12,14],[3,4,6,9,11,13,14],[3,4,7,8,9,11,13],[3,5,6,10,11,12,13],[3,5,7,8,10,12,14]]; G[1095]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1096: autom. group order 2, simple, residual B[1096]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,12],[2,4,6,8,10,13,14],[2,4,7,10,11,12,13],[2,5,6,7,8,12,14],[2,5,6,8,9,11,13],[2,5,7,9,11,13,14],[3,4,5,6,9,10,13],[3,4,6,7,8,13,14],[3,4,6,9,11,12,14],[3,4,7,8,9,11,12],[3,5,6,10,11,12,13],[3,5,7,8,10,12,14]]; G[1096]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1097: autom. group order 2, simple, residual B[1097]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,12],[1,5,6,9,10,11,13],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,12,14],[2,4,6,8,10,11,13],[2,4,7,8,11,13,14],[2,5,6,7,8,9,13],[2,5,6,9,10,12,14],[2,5,7,9,11,12,13],[3,4,5,6,10,13,14],[3,4,6,7,8,9,12],[3,4,6,9,11,12,13],[3,4,7,9,10,13,14],[3,5,6,8,11,12,14],[3,5,7,8,10,11,12]]; G[1097]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1098: autom. group order 2, simple, residual B[1098]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,13],[1,5,6,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,13,14],[2,4,6,8,10,11,13],[2,4,7,8,11,12,14],[2,5,6,7,8,9,12],[2,5,6,9,10,13,14],[2,5,7,9,11,12,13],[3,4,5,6,10,12,14],[3,4,6,7,8,9,13],[3,4,6,9,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,11,13,14],[3,5,7,8,10,11,12]]; G[1098]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1099: autom. group order 2, simple, residual B[1099]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,12],[1,5,6,9,10,11,13],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,12,14],[2,4,6,8,10,11,13],[2,4,7,8,11,13,14],[2,5,6,7,8,9,12],[2,5,6,9,11,12,13],[2,5,7,9,10,13,14],[3,4,5,6,10,13,14],[3,4,6,7,8,9,13],[3,4,6,9,10,12,14],[3,4,7,9,11,12,13],[3,5,6,8,11,12,14],[3,5,7,8,10,11,12]]; G[1099]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1100: autom. group order 2, simple, residual B[1100]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,13],[1,5,6,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,13,14],[2,4,6,8,10,11,13],[2,4,7,8,11,12,14],[2,5,6,7,8,9,13],[2,5,6,9,11,12,13],[2,5,7,9,10,12,14],[3,4,5,6,10,12,14],[3,4,6,7,8,9,12],[3,4,6,9,10,13,14],[3,4,7,9,11,12,13],[3,5,6,8,11,13,14],[3,5,7,8,10,11,12]]; G[1100]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1101: autom. group order 2, simple, residual B[1101]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,12],[1,5,6,9,10,11,13],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,12,14],[2,4,6,8,11,13,14],[2,4,7,8,10,11,13],[2,5,6,7,8,9,13],[2,5,6,9,10,12,14],[2,5,7,9,11,12,13],[3,4,5,6,10,13,14],[3,4,6,7,8,9,12],[3,4,6,9,11,12,13],[3,4,7,9,10,13,14],[3,5,6,8,10,11,12],[3,5,7,8,11,12,14]]; G[1101]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1102: autom. group order 2, simple, residual B[1102]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,13],[1,5,6,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,13,14],[2,4,6,8,11,13,14],[2,4,7,8,10,11,12],[2,5,6,7,8,9,12],[2,5,6,9,10,13,14],[2,5,7,9,11,12,13],[3,4,5,6,10,12,14],[3,4,6,7,8,9,13],[3,4,6,9,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,10,11,13],[3,5,7,8,11,12,14]]; G[1102]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1103: autom. group order 2, simple, residual B[1103]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,12],[1,5,6,9,10,11,13],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,12,14],[2,4,6,8,11,13,14],[2,4,7,8,10,11,13],[2,5,6,7,8,9,12],[2,5,6,9,11,12,13],[2,5,7,9,10,13,14],[3,4,5,6,10,13,14],[3,4,6,7,8,9,13],[3,4,6,9,10,12,14],[3,4,7,9,11,12,13],[3,5,6,8,10,11,12],[3,5,7,8,11,12,14]]; G[1103]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1104: autom. group order 2, simple, residual B[1104]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,9,11,14],[1,4,5,8,10,12,13],[1,4,7,9,10,11,13],[1,5,6,9,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,13,14],[2,4,6,8,11,13,14],[2,4,7,8,10,11,12],[2,5,6,7,8,9,13],[2,5,6,9,11,12,13],[2,5,7,9,10,12,14],[3,4,5,6,10,12,14],[3,4,6,7,8,9,12],[3,4,6,9,10,13,14],[3,4,7,9,11,12,13],[3,5,6,8,10,11,13],[3,5,7,8,11,12,14]]; G[1104]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1105: autom. group order 2, simple, residual B[1105]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,9,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,12],[2,4,6,8,9,11,13],[2,4,7,8,10,13,14],[2,5,6,7,8,13,14],[2,5,6,9,11,12,14],[2,5,7,10,11,12,13],[3,4,5,6,9,10,13],[3,4,6,7,8,12,14],[3,4,6,10,11,12,13],[3,4,7,9,11,13,14],[3,5,6,8,10,12,14],[3,5,7,8,9,11,12]]; G[1105]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1106: autom. group order 2, simple, residual B[1106]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,13],[2,4,6,8,9,11,13],[2,4,7,8,10,12,14],[2,5,6,7,8,12,14],[2,5,6,9,11,13,14],[2,5,7,10,11,12,13],[3,4,5,6,9,10,12],[3,4,6,7,8,13,14],[3,4,6,10,11,12,13],[3,4,7,9,11,12,14],[3,5,6,8,10,13,14],[3,5,7,8,9,11,12]]; G[1106]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1107: autom. group order 2, simple, residual B[1107]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,9,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,12],[2,4,6,8,9,11,13],[2,4,7,8,10,13,14],[2,5,6,7,8,12,14],[2,5,6,10,11,12,13],[2,5,7,9,11,13,14],[3,4,5,6,9,10,13],[3,4,6,7,8,13,14],[3,4,6,9,11,12,14],[3,4,7,10,11,12,13],[3,5,6,8,10,12,14],[3,5,7,8,9,11,12]]; G[1107]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1108: autom. group order 2, simple, residual B[1108]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,13],[2,4,6,8,9,11,13],[2,4,7,8,10,12,14],[2,5,6,7,8,13,14],[2,5,6,10,11,12,13],[2,5,7,9,11,12,14],[3,4,5,6,9,10,12],[3,4,6,7,8,12,14],[3,4,6,9,11,13,14],[3,4,7,10,11,12,13],[3,5,6,8,10,13,14],[3,5,7,8,9,11,12]]; G[1108]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1109: autom. group order 2, simple, residual B[1109]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,9,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,12],[2,4,6,8,10,13,14],[2,4,7,8,9,11,13],[2,5,6,7,8,13,14],[2,5,6,9,11,12,14],[2,5,7,10,11,12,13],[3,4,5,6,9,10,13],[3,4,6,7,8,12,14],[3,4,6,10,11,12,13],[3,4,7,9,11,13,14],[3,5,6,8,9,11,12],[3,5,7,8,10,12,14]]; G[1109]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1110: autom. group order 2, simple, residual B[1110]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,13],[2,4,6,8,10,13,14],[2,4,7,8,9,11,12],[2,5,6,7,8,12,14],[2,5,6,9,11,13,14],[2,5,7,10,11,12,13],[3,4,5,6,9,10,12],[3,4,6,7,8,13,14],[3,4,6,10,11,12,13],[3,4,7,9,11,12,14],[3,5,6,8,9,11,13],[3,5,7,8,10,12,14]]; G[1110]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1111: autom. group order 2, simple, residual B[1111]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,9,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,12],[2,4,6,8,10,13,14],[2,4,7,8,9,11,13],[2,5,6,7,8,12,14],[2,5,6,10,11,12,13],[2,5,7,9,11,13,14],[3,4,5,6,9,10,13],[3,4,6,7,8,13,14],[3,4,6,9,11,12,14],[3,4,7,10,11,12,13],[3,5,6,8,9,11,12],[3,5,7,8,10,12,14]]; G[1111]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1112: autom. group order 2, simple, residual B[1112]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,13],[2,4,6,8,10,13,14],[2,4,7,8,9,11,12],[2,5,6,7,8,13,14],[2,5,6,10,11,12,13],[2,5,7,9,11,12,14],[3,4,5,6,9,10,12],[3,4,6,7,8,12,14],[3,4,6,9,11,13,14],[3,4,7,10,11,12,13],[3,5,6,8,9,11,13],[3,5,7,8,10,12,14]]; G[1112]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 1113: autom. group order 2, simple B[1113]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,9,10,12,14],[2,4,7,8,9,12,13],[2,5,6,7,9,12,13],[2,5,6,8,10,11,13],[2,5,7,8,11,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,11,12,13],[3,4,7,8,10,12,14],[3,5,6,8,9,11,14],[3,5,7,9,10,11,13]]; G[1113]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1114: autom. group order 2, simple B[1114]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,9,10,12,13],[2,4,7,8,9,11,14],[2,5,6,7,9,11,13],[2,5,6,8,10,12,14],[2,5,7,8,11,12,13],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,11,12,14],[3,4,7,8,10,11,13],[3,5,6,8,9,12,13],[3,5,7,9,10,11,14]]; G[1114]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1115: autom. group order 2, simple B[1115]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,9,10,12,14],[2,4,7,8,9,12,13],[2,5,6,7,9,12,13],[2,5,6,8,10,11,13],[2,5,7,8,11,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,11,12,13],[3,4,7,8,10,12,14],[3,5,6,8,9,11,14],[3,5,7,9,10,11,13]]; G[1115]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1116: autom. group order 2, simple B[1116]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,9,10,12,13],[2,4,7,8,9,11,14],[2,5,6,7,9,11,13],[2,5,6,8,10,12,14],[2,5,7,8,11,12,13],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,11,12,14],[3,4,7,8,10,11,13],[3,5,6,8,9,12,13],[3,5,7,9,10,11,14]]; G[1116]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1117: autom. group order 2, simple B[1117]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,9,10,12,13],[2,4,7,8,9,12,14],[2,5,6,7,9,11,13],[2,5,6,8,11,12,14],[2,5,7,8,10,12,13],[3,4,5,6,10,12,13],[3,4,6,7,9,12,14],[3,4,6,8,10,11,14],[3,4,7,8,11,12,13],[3,5,6,8,9,11,13],[3,5,7,9,10,11,14]]; G[1117]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1118: autom. group order 2, simple B[1118]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,9,10,12,14],[2,4,7,8,9,11,13],[2,5,6,7,9,12,13],[2,5,6,8,11,12,13],[2,5,7,8,10,11,14],[3,4,5,6,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,10,12,13],[3,4,7,8,11,12,14],[3,5,6,8,9,12,14],[3,5,7,9,10,11,13]]; G[1118]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1119: autom. group order 2, simple B[1119]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,9,10,12,13],[2,4,7,8,9,12,14],[2,5,6,7,9,11,13],[2,5,6,8,11,12,14],[2,5,7,8,10,12,13],[3,4,5,6,10,12,13],[3,4,6,7,9,12,14],[3,4,6,8,10,11,14],[3,4,7,8,11,12,13],[3,5,6,8,9,11,13],[3,5,7,9,10,11,14]]; G[1119]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1120: autom. group order 2, simple B[1120]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,9,10,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,12,13],[2,5,6,8,9,11,13],[2,5,7,8,11,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,11,12,13],[3,4,7,8,9,12,14],[3,5,6,8,10,11,14],[3,5,7,9,10,11,13]]; G[1120]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1121: autom. group order 2, simple B[1121]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,9,10,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,11,13],[2,5,6,8,9,12,14],[2,5,7,8,11,12,13],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,11,12,14],[3,4,7,8,9,11,13],[3,5,6,8,10,12,13],[3,5,7,9,10,11,14]]; G[1121]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1122: autom. group order 2, simple B[1122]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,9,10,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,12,13],[2,5,6,8,9,11,13],[2,5,7,8,11,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,11,12,13],[3,4,7,8,9,12,14],[3,5,6,8,10,11,14],[3,5,7,9,10,11,13]]; G[1122]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1123: autom. group order 2, simple B[1123]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,9,10,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,11,13],[2,5,6,8,9,12,14],[2,5,7,8,11,12,13],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,11,12,14],[3,4,7,8,9,11,13],[3,5,6,8,10,12,13],[3,5,7,9,10,11,14]]; G[1123]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1124: autom. group order 2, simple B[1124]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,9,10,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,12,13],[2,5,6,8,9,11,14],[2,5,7,8,10,11,13],[3,4,5,6,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,10,12,14],[3,4,7,8,9,12,13],[3,5,6,8,11,12,13],[3,5,7,9,10,11,14]]; G[1124]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1125: autom. group order 2, simple B[1125]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,9,10,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,13],[2,5,6,8,9,12,13],[2,5,7,8,10,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,12,14],[3,4,6,8,10,11,13],[3,4,7,8,9,11,14],[3,5,6,8,11,12,14],[3,5,7,9,10,11,13]]; G[1125]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1126: autom. group order 2, simple B[1126]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,9,10,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,12,13],[2,5,6,8,9,11,14],[2,5,7,8,10,11,13],[3,4,5,6,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,10,12,14],[3,4,7,8,9,12,13],[3,5,6,8,11,12,13],[3,5,7,9,10,11,14]]; G[1126]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1127: autom. group order 2, simple B[1127]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,9,10,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,13],[2,5,6,8,9,12,13],[2,5,7,8,10,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,12,14],[3,4,6,8,10,11,13],[3,4,7,8,9,11,14],[3,5,6,8,11,12,14],[3,5,7,9,10,11,13]]; G[1127]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1128: autom. group order 2, simple B[1128]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,9,10,12,13],[2,4,7,8,10,12,14],[2,5,6,7,9,11,13],[2,5,6,8,11,12,14],[2,5,7,8,9,12,13],[3,4,5,6,10,12,13],[3,4,6,7,9,12,14],[3,4,6,8,9,11,14],[3,4,7,8,11,12,13],[3,5,6,8,10,11,13],[3,5,7,9,10,11,14]]; G[1128]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1129: autom. group order 2, simple B[1129]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,9,10,12,14],[2,4,7,8,10,11,13],[2,5,6,7,9,12,13],[2,5,6,8,11,12,13],[2,5,7,8,9,11,14],[3,4,5,6,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,9,12,13],[3,4,7,8,11,12,14],[3,5,6,8,10,12,14],[3,5,7,9,10,11,13]]; G[1129]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1130: autom. group order 2, simple B[1130]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,9,10,12,13],[2,4,7,8,10,12,14],[2,5,6,7,9,11,13],[2,5,6,8,11,12,14],[2,5,7,8,9,12,13],[3,4,5,6,10,12,13],[3,4,6,7,9,12,14],[3,4,6,8,9,11,14],[3,4,7,8,11,12,13],[3,5,6,8,10,11,13],[3,5,7,9,10,11,14]]; G[1130]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1131: autom. group order 2, simple B[1131]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,9,10,12,14],[2,4,7,8,10,11,13],[2,5,6,7,9,12,13],[2,5,6,8,11,12,13],[2,5,7,8,9,11,14],[3,4,5,6,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,9,12,13],[3,4,7,8,11,12,14],[3,5,6,8,10,12,14],[3,5,7,9,10,11,13]]; G[1131]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1132: autom. group order 2, simple B[1132]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,9,10,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,12,13],[2,5,6,8,10,11,14],[2,5,7,8,9,11,13],[3,4,5,6,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,9,12,14],[3,4,7,8,10,12,13],[3,5,6,8,11,12,13],[3,5,7,9,10,11,14]]; G[1132]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1133: autom. group order 2, simple B[1133]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,9,10,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,13],[2,5,6,8,10,12,13],[2,5,7,8,9,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,12,14],[3,4,6,8,9,11,13],[3,4,7,8,10,11,14],[3,5,6,8,11,12,14],[3,5,7,9,10,11,13]]; G[1133]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1134: autom. group order 2, simple B[1134]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,9,10,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,12,13],[2,5,6,8,10,11,14],[2,5,7,8,9,11,13],[3,4,5,6,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,9,12,14],[3,4,7,8,10,12,13],[3,5,6,8,11,12,13],[3,5,7,9,10,11,14]]; G[1134]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1135: autom. group order 2, simple B[1135]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,9,10,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,13],[2,5,6,8,10,12,13],[2,5,7,8,9,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,12,14],[3,4,6,8,9,11,13],[3,4,7,8,10,11,14],[3,5,6,8,11,12,14],[3,5,7,9,10,11,13]]; G[1135]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1136: autom. group order 2, simple B[1136]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,9,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,12,13],[2,5,6,9,10,11,13],[2,5,7,8,11,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,10,11,14],[3,5,7,8,9,11,13]]; G[1136]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1137: autom. group order 2, simple B[1137]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,9,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,11,13],[2,5,6,9,10,12,14],[2,5,7,8,11,12,13],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,11,12,14],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[3,5,7,8,9,11,14]]; G[1137]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1138: autom. group order 2, simple B[1138]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,9,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,12,13],[2,5,6,9,10,11,13],[2,5,7,8,11,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,10,11,14],[3,5,7,8,9,11,13]]; G[1138]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1139: autom. group order 2, simple B[1139]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,9,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,11,13],[2,5,6,9,10,12,14],[2,5,7,8,11,12,13],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,11,12,14],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[3,5,7,8,9,11,14]]; G[1139]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1140: autom. group order 2, simple B[1140]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,9,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,12,13],[2,5,6,9,10,11,14],[2,5,7,8,10,11,13],[3,4,5,6,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,10,12,14],[3,4,7,9,10,12,13],[3,5,6,8,11,12,13],[3,5,7,8,9,11,14]]; G[1140]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1141: autom. group order 2, simple B[1141]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,9,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,13],[2,5,6,9,10,12,13],[2,5,7,8,10,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,12,14],[3,4,6,8,10,11,13],[3,4,7,9,10,11,14],[3,5,6,8,11,12,14],[3,5,7,8,9,11,13]]; G[1141]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1142: autom. group order 2, simple B[1142]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,9,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,12,13],[2,5,6,9,10,11,14],[2,5,7,8,10,11,13],[3,4,5,6,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,10,12,14],[3,4,7,9,10,12,13],[3,5,6,8,11,12,13],[3,5,7,8,9,11,14]]; G[1142]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1143: autom. group order 2, simple B[1143]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,9,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,13],[2,5,6,9,10,12,13],[2,5,7,8,10,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,12,14],[3,4,6,8,10,11,13],[3,4,7,9,10,11,14],[3,5,6,8,11,12,14],[3,5,7,8,9,11,13]]; G[1143]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1144: autom. group order 2, simple B[1144]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,10,12,14],[2,4,7,8,9,12,13],[2,5,6,7,9,12,13],[2,5,6,9,10,11,13],[2,5,7,8,11,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,9,11,14],[3,5,7,8,10,11,13]]; G[1144]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1145: autom. group order 2, simple B[1145]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,10,12,13],[2,4,7,8,9,11,14],[2,5,6,7,9,11,13],[2,5,6,9,10,12,14],[2,5,7,8,11,12,13],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,11,12,14],[3,4,7,9,10,11,13],[3,5,6,8,9,12,13],[3,5,7,8,10,11,14]]; G[1145]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1146: autom. group order 2, simple B[1146]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,10,12,14],[2,4,7,8,9,12,13],[2,5,6,7,9,12,13],[2,5,6,9,10,11,13],[2,5,7,8,11,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,9,11,14],[3,5,7,8,10,11,13]]; G[1146]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1147: autom. group order 2, simple B[1147]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,10,12,13],[2,4,7,8,9,11,14],[2,5,6,7,9,11,13],[2,5,6,9,10,12,14],[2,5,7,8,11,12,13],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,11,12,14],[3,4,7,9,10,11,13],[3,5,6,8,9,12,13],[3,5,7,8,10,11,14]]; G[1147]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1148: autom. group order 2, simple B[1148]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,11,12,14],[2,4,7,8,9,12,13],[2,5,6,7,9,11,13],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,10,12,13],[3,4,7,9,10,11,14],[3,5,6,8,9,11,14],[3,5,7,8,11,12,13]]; G[1148]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1149: autom. group order 2, simple B[1149]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,11,12,13],[2,4,7,8,9,12,14],[2,5,6,7,9,12,13],[2,5,6,9,10,12,14],[2,5,7,8,10,11,13],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,10,12,14],[3,4,7,9,10,11,13],[3,5,6,8,9,11,13],[3,5,7,8,11,12,14]]; G[1149]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1150: autom. group order 2, simple B[1150]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,11,12,14],[2,4,7,8,9,12,13],[2,5,6,7,9,11,13],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,10,12,13],[3,4,7,9,10,11,14],[3,5,6,8,9,11,14],[3,5,7,8,11,12,13]]; G[1150]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1151: autom. group order 2, simple B[1151]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,11,12,13],[2,4,7,8,9,12,14],[2,5,6,7,9,12,13],[2,5,6,9,10,12,14],[2,5,7,8,10,11,13],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,10,12,14],[3,4,7,9,10,11,13],[3,5,6,8,9,11,13],[3,5,7,8,11,12,14]]; G[1151]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1152: autom. group order 2, simple B[1152]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,10,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,12,13],[2,5,6,9,10,11,14],[2,5,7,8,9,11,13],[3,4,5,6,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,9,12,14],[3,4,7,9,10,12,13],[3,5,6,8,11,12,13],[3,5,7,8,10,11,14]]; G[1152]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1153: autom. group order 2, simple B[1153]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,10,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,13],[2,5,6,9,10,12,13],[2,5,7,8,9,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,12,14],[3,4,6,8,9,11,13],[3,4,7,9,10,11,14],[3,5,6,8,11,12,14],[3,5,7,8,10,11,13]]; G[1153]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1154: autom. group order 2, simple B[1154]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,10,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,12,13],[2,5,6,9,10,11,14],[2,5,7,8,9,11,13],[3,4,5,6,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,9,12,14],[3,4,7,9,10,12,13],[3,5,6,8,11,12,13],[3,5,7,8,10,11,14]]; G[1154]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1155: autom. group order 2, simple B[1155]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,10,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,13],[2,5,6,9,10,12,13],[2,5,7,8,9,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,12,14],[3,4,6,8,9,11,13],[3,4,7,9,10,11,14],[3,5,6,8,11,12,14],[3,5,7,8,10,11,13]]; G[1155]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1156: autom. group order 2, simple B[1156]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,11,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,11,13],[2,5,6,9,10,12,13],[2,5,7,8,9,11,14],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,9,12,13],[3,4,7,9,10,11,14],[3,5,6,8,10,11,14],[3,5,7,8,11,12,13]]; G[1156]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1157: autom. group order 2, simple B[1157]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,11,12,13],[2,4,7,8,10,12,14],[2,5,6,7,9,12,13],[2,5,6,9,10,12,14],[2,5,7,8,9,11,13],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,9,12,14],[3,4,7,9,10,11,13],[3,5,6,8,10,11,13],[3,5,7,8,11,12,14]]; G[1157]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1158: autom. group order 2, simple B[1158]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,11,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,11,13],[2,5,6,9,10,12,13],[2,5,7,8,9,11,14],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,9,12,13],[3,4,7,9,10,11,14],[3,5,6,8,10,11,14],[3,5,7,8,11,12,13]]; G[1158]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1159: autom. group order 2, simple B[1159]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,11,12,13],[2,4,7,8,10,12,14],[2,5,6,7,9,12,13],[2,5,6,9,10,12,14],[2,5,7,8,9,11,13],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,9,12,14],[3,4,7,9,10,11,13],[3,5,6,8,10,11,13],[3,5,7,8,11,12,14]]; G[1159]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1160: autom. group order 2, simple B[1160]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,9,10,13,14],[1,4,7,8,9,11,13],[1,5,6,8,9,12,14],[1,6,7,8,10,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,9,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,12,13],[2,5,6,9,10,11,13],[2,5,7,8,11,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,10,11,14],[3,5,7,8,9,11,13]]; G[1160]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1161: autom. group order 2, simple B[1161]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,9,10,13,14],[1,4,7,8,9,12,13],[1,5,6,8,9,11,14],[1,6,7,8,10,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,9,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,11,13],[2,5,6,9,10,12,14],[2,5,7,8,11,12,13],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,11,12,14],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[3,5,7,8,9,11,14]]; G[1161]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1162: autom. group order 2, simple B[1162]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,13,14],[1,4,5,9,10,11,12],[1,4,7,8,9,11,13],[1,5,6,8,9,12,14],[1,6,7,8,10,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,9,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,12,13],[2,5,6,9,10,11,13],[2,5,7,8,11,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,10,11,14],[3,5,7,8,9,11,13]]; G[1162]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1163: autom. group order 2, simple B[1163]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,13,14],[1,4,5,9,10,11,12],[1,4,7,8,9,12,13],[1,5,6,8,9,11,14],[1,6,7,8,10,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,9,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,11,13],[2,5,6,9,10,12,14],[2,5,7,8,11,12,13],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,11,12,14],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[3,5,7,8,9,11,14]]; G[1163]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1164: autom. group order 2, simple B[1164]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,9,10,13,14],[1,4,7,8,9,11,13],[1,5,6,8,9,12,14],[1,6,7,8,10,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,9,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,12,13],[2,5,6,9,10,11,14],[2,5,7,8,10,11,13],[3,4,5,6,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,10,12,14],[3,4,7,9,10,12,13],[3,5,6,8,11,12,13],[3,5,7,8,9,11,14]]; G[1164]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1165: autom. group order 2, simple B[1165]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,9,10,13,14],[1,4,7,8,9,12,13],[1,5,6,8,9,11,14],[1,6,7,8,10,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,9,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,13],[2,5,6,9,10,12,13],[2,5,7,8,10,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,12,14],[3,4,6,8,10,11,13],[3,4,7,9,10,11,14],[3,5,6,8,11,12,14],[3,5,7,8,9,11,13]]; G[1165]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1166: autom. group order 2, simple B[1166]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,13,14],[1,4,5,9,10,11,12],[1,4,7,8,9,11,13],[1,5,6,8,9,12,14],[1,6,7,8,10,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,9,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,12,13],[2,5,6,9,10,11,14],[2,5,7,8,10,11,13],[3,4,5,6,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,10,12,14],[3,4,7,9,10,12,13],[3,5,6,8,11,12,13],[3,5,7,8,9,11,14]]; G[1166]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1167: autom. group order 2, simple B[1167]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,13,14],[1,4,5,9,10,11,12],[1,4,7,8,9,12,13],[1,5,6,8,9,11,14],[1,6,7,8,10,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,9,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,13],[2,5,6,9,10,12,13],[2,5,7,8,10,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,12,14],[3,4,6,8,10,11,13],[3,4,7,9,10,11,14],[3,5,6,8,11,12,14],[3,5,7,8,9,11,13]]; G[1167]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1168: autom. group order 2, simple B[1168]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,9,10,13,14],[1,4,7,8,9,11,13],[1,5,6,8,9,12,14],[1,6,7,8,10,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,10,12,14],[2,4,7,8,9,12,13],[2,5,6,7,9,12,13],[2,5,6,9,10,11,13],[2,5,7,8,11,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,9,11,14],[3,5,7,8,10,11,13]]; G[1168]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1169: autom. group order 2, simple B[1169]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,9,10,13,14],[1,4,7,8,9,12,13],[1,5,6,8,9,11,14],[1,6,7,8,10,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,10,12,13],[2,4,7,8,9,11,14],[2,5,6,7,9,11,13],[2,5,6,9,10,12,14],[2,5,7,8,11,12,13],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,11,12,14],[3,4,7,9,10,11,13],[3,5,6,8,9,12,13],[3,5,7,8,10,11,14]]; G[1169]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1170: autom. group order 2, simple B[1170]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,13,14],[1,4,5,9,10,11,12],[1,4,7,8,9,11,13],[1,5,6,8,9,12,14],[1,6,7,8,10,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,10,12,14],[2,4,7,8,9,12,13],[2,5,6,7,9,12,13],[2,5,6,9,10,11,13],[2,5,7,8,11,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,9,11,14],[3,5,7,8,10,11,13]]; G[1170]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1171: autom. group order 2, simple B[1171]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,13,14],[1,4,5,9,10,11,12],[1,4,7,8,9,12,13],[1,5,6,8,9,11,14],[1,6,7,8,10,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,10,12,13],[2,4,7,8,9,11,14],[2,5,6,7,9,11,13],[2,5,6,9,10,12,14],[2,5,7,8,11,12,13],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,11,12,14],[3,4,7,9,10,11,13],[3,5,6,8,9,12,13],[3,5,7,8,10,11,14]]; G[1171]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1172: autom. group order 2, simple B[1172]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,9,10,13,14],[1,4,7,8,9,11,13],[1,5,6,8,9,12,14],[1,6,7,8,10,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,11,12,14],[2,4,7,8,9,12,13],[2,5,6,7,9,11,13],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,10,12,13],[3,4,7,9,10,11,14],[3,5,6,8,9,11,14],[3,5,7,8,11,12,13]]; G[1172]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1173: autom. group order 2, simple B[1173]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,9,10,13,14],[1,4,7,8,9,12,13],[1,5,6,8,9,11,14],[1,6,7,8,10,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,11,12,13],[2,4,7,8,9,12,14],[2,5,6,7,9,12,13],[2,5,6,9,10,12,14],[2,5,7,8,10,11,13],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,10,12,14],[3,4,7,9,10,11,13],[3,5,6,8,9,11,13],[3,5,7,8,11,12,14]]; G[1173]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1174: autom. group order 2, simple B[1174]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,13,14],[1,4,5,9,10,11,12],[1,4,7,8,9,11,13],[1,5,6,8,9,12,14],[1,6,7,8,10,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,11,12,14],[2,4,7,8,9,12,13],[2,5,6,7,9,11,13],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,10,12,13],[3,4,7,9,10,11,14],[3,5,6,8,9,11,14],[3,5,7,8,11,12,13]]; G[1174]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1175: autom. group order 2, simple B[1175]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,13,14],[1,4,5,9,10,11,12],[1,4,7,8,9,12,13],[1,5,6,8,9,11,14],[1,6,7,8,10,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,11,12,13],[2,4,7,8,9,12,14],[2,5,6,7,9,12,13],[2,5,6,9,10,12,14],[2,5,7,8,10,11,13],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,10,12,14],[3,4,7,9,10,11,13],[3,5,6,8,9,11,13],[3,5,7,8,11,12,14]]; G[1175]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1176: autom. group order 2, simple B[1176]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,9,10,13,14],[1,4,7,8,9,11,13],[1,5,6,8,9,12,14],[1,6,7,8,10,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,10,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,12,13],[2,5,6,9,10,11,14],[2,5,7,8,9,11,13],[3,4,5,6,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,9,12,14],[3,4,7,9,10,12,13],[3,5,6,8,11,12,13],[3,5,7,8,10,11,14]]; G[1176]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1177: autom. group order 2, simple B[1177]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,9,10,13,14],[1,4,7,8,9,12,13],[1,5,6,8,9,11,14],[1,6,7,8,10,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,10,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,13],[2,5,6,9,10,12,13],[2,5,7,8,9,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,12,14],[3,4,6,8,9,11,13],[3,4,7,9,10,11,14],[3,5,6,8,11,12,14],[3,5,7,8,10,11,13]]; G[1177]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1178: autom. group order 2, simple B[1178]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,13,14],[1,4,5,9,10,11,12],[1,4,7,8,9,11,13],[1,5,6,8,9,12,14],[1,6,7,8,10,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,10,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,12,13],[2,5,6,9,10,11,14],[2,5,7,8,9,11,13],[3,4,5,6,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,9,12,14],[3,4,7,9,10,12,13],[3,5,6,8,11,12,13],[3,5,7,8,10,11,14]]; G[1178]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1179: autom. group order 2, simple B[1179]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,13,14],[1,4,5,9,10,11,12],[1,4,7,8,9,12,13],[1,5,6,8,9,11,14],[1,6,7,8,10,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,10,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,13],[2,5,6,9,10,12,13],[2,5,7,8,9,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,12,14],[3,4,6,8,9,11,13],[3,4,7,9,10,11,14],[3,5,6,8,11,12,14],[3,5,7,8,10,11,13]]; G[1179]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1180: autom. group order 2, simple B[1180]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,9,10,13,14],[1,4,7,8,9,11,13],[1,5,6,8,9,12,14],[1,6,7,8,10,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,11,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,11,13],[2,5,6,9,10,12,13],[2,5,7,8,9,11,14],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,9,12,13],[3,4,7,9,10,11,14],[3,5,6,8,10,11,14],[3,5,7,8,11,12,13]]; G[1180]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1181: autom. group order 2, simple B[1181]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,9,10,13,14],[1,4,7,8,9,12,13],[1,5,6,8,9,11,14],[1,6,7,8,10,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,11,12,13],[2,4,7,8,10,12,14],[2,5,6,7,9,12,13],[2,5,6,9,10,12,14],[2,5,7,8,9,11,13],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,9,12,14],[3,4,7,9,10,11,13],[3,5,6,8,10,11,13],[3,5,7,8,11,12,14]]; G[1181]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1182: autom. group order 2, simple B[1182]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,13,14],[1,4,5,9,10,11,12],[1,4,7,8,9,11,13],[1,5,6,8,9,12,14],[1,6,7,8,10,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,11,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,11,13],[2,5,6,9,10,12,13],[2,5,7,8,9,11,14],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,9,12,13],[3,4,7,9,10,11,14],[3,5,6,8,10,11,14],[3,5,7,8,11,12,13]]; G[1182]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1183: autom. group order 2, simple B[1183]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,13,14],[1,4,5,9,10,11,12],[1,4,7,8,9,12,13],[1,5,6,8,9,11,14],[1,6,7,8,10,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,11,12,13],[2,4,7,8,10,12,14],[2,5,6,7,9,12,13],[2,5,6,9,10,12,14],[2,5,7,8,9,11,13],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,9,12,14],[3,4,7,9,10,11,13],[3,5,6,8,10,11,13],[3,5,7,8,11,12,14]]; G[1183]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1184: autom. group order 2, simple B[1184]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,9,12,13],[2,4,7,8,10,12,14],[2,5,6,7,9,11,13],[2,5,6,8,11,12,14],[2,5,7,9,10,12,13],[3,4,5,6,10,12,13],[3,4,6,7,9,12,14],[3,4,6,9,10,11,14],[3,4,7,8,11,12,13],[3,5,6,8,10,11,13],[3,5,7,8,9,11,14]]; G[1184]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1185: autom. group order 2, simple B[1185]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,9,12,14],[2,4,7,8,10,11,13],[2,5,6,7,9,12,13],[2,5,6,8,11,12,13],[2,5,7,9,10,11,14],[3,4,5,6,10,11,13],[3,4,6,7,9,11,14],[3,4,6,9,10,12,13],[3,4,7,8,11,12,14],[3,5,6,8,10,12,14],[3,5,7,8,9,11,13]]; G[1185]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1186: autom. group order 2, simple B[1186]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,9,12,13],[2,4,7,8,10,12,14],[2,5,6,7,9,11,13],[2,5,6,8,11,12,14],[2,5,7,9,10,12,13],[3,4,5,6,10,12,13],[3,4,6,7,9,12,14],[3,4,6,9,10,11,14],[3,4,7,8,11,12,13],[3,5,6,8,10,11,13],[3,5,7,8,9,11,14]]; G[1186]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1187: autom. group order 2, simple B[1187]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,9,12,14],[2,4,7,8,10,11,13],[2,5,6,7,9,12,13],[2,5,6,8,11,12,13],[2,5,7,9,10,11,14],[3,4,5,6,10,11,13],[3,4,6,7,9,11,14],[3,4,6,9,10,12,13],[3,4,7,8,11,12,14],[3,5,6,8,10,12,14],[3,5,7,8,9,11,13]]; G[1187]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1188: autom. group order 2, simple B[1188]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,9,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,12,13],[2,5,6,8,10,11,14],[2,5,7,9,10,11,13],[3,4,5,6,10,11,13],[3,4,6,7,9,11,14],[3,4,6,9,10,12,14],[3,4,7,8,10,12,13],[3,5,6,8,11,12,13],[3,5,7,8,9,11,14]]; G[1188]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1189: autom. group order 2, simple B[1189]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,9,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,13],[2,5,6,8,10,12,13],[2,5,7,9,10,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,12,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,14],[3,5,6,8,11,12,14],[3,5,7,8,9,11,13]]; G[1189]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1190: autom. group order 2, simple B[1190]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,9,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,12,13],[2,5,6,8,10,11,14],[2,5,7,9,10,11,13],[3,4,5,6,10,11,13],[3,4,6,7,9,11,14],[3,4,6,9,10,12,14],[3,4,7,8,10,12,13],[3,5,6,8,11,12,13],[3,5,7,8,9,11,14]]; G[1190]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1191: autom. group order 2, simple B[1191]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,9,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,13],[2,5,6,8,10,12,13],[2,5,7,9,10,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,12,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,14],[3,5,6,8,11,12,14],[3,5,7,8,9,11,13]]; G[1191]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1192: autom. group order 2, simple B[1192]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,10,12,13],[2,4,7,8,9,12,14],[2,5,6,7,9,11,13],[2,5,6,8,11,12,14],[2,5,7,9,10,12,13],[3,4,5,6,10,12,13],[3,4,6,7,9,12,14],[3,4,6,9,10,11,14],[3,4,7,8,11,12,13],[3,5,6,8,9,11,13],[3,5,7,8,10,11,14]]; G[1192]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1193: autom. group order 2, simple B[1193]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,10,12,14],[2,4,7,8,9,11,13],[2,5,6,7,9,12,13],[2,5,6,8,11,12,13],[2,5,7,9,10,11,14],[3,4,5,6,10,11,13],[3,4,6,7,9,11,14],[3,4,6,9,10,12,13],[3,4,7,8,11,12,14],[3,5,6,8,9,12,14],[3,5,7,8,10,11,13]]; G[1193]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1194: autom. group order 2, simple B[1194]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,10,12,13],[2,4,7,8,9,12,14],[2,5,6,7,9,11,13],[2,5,6,8,11,12,14],[2,5,7,9,10,12,13],[3,4,5,6,10,12,13],[3,4,6,7,9,12,14],[3,4,6,9,10,11,14],[3,4,7,8,11,12,13],[3,5,6,8,9,11,13],[3,5,7,8,10,11,14]]; G[1194]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1195: autom. group order 2, simple B[1195]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,10,12,14],[2,4,7,8,9,11,13],[2,5,6,7,9,12,13],[2,5,6,8,11,12,13],[2,5,7,9,10,11,14],[3,4,5,6,10,11,13],[3,4,6,7,9,11,14],[3,4,6,9,10,12,13],[3,4,7,8,11,12,14],[3,5,6,8,9,12,14],[3,5,7,8,10,11,13]]; G[1195]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1196: autom. group order 2, simple B[1196]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,11,12,14],[2,4,7,8,9,12,13],[2,5,6,7,9,11,13],[2,5,6,8,10,12,13],[2,5,7,9,10,11,14],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,6,9,10,12,13],[3,4,7,8,10,11,14],[3,5,6,8,9,11,14],[3,5,7,8,11,12,13]]; G[1196]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1197: autom. group order 2, simple B[1197]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,11,12,13],[2,4,7,8,9,12,14],[2,5,6,7,9,12,13],[2,5,6,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,9,10,12,14],[3,4,7,8,10,11,13],[3,5,6,8,9,11,13],[3,5,7,8,11,12,14]]; G[1197]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1198: autom. group order 2, simple B[1198]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,11,12,14],[2,4,7,8,9,12,13],[2,5,6,7,9,11,13],[2,5,6,8,10,12,13],[2,5,7,9,10,11,14],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,6,9,10,12,13],[3,4,7,8,10,11,14],[3,5,6,8,9,11,14],[3,5,7,8,11,12,13]]; G[1198]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1199: autom. group order 2, simple B[1199]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,11,12,13],[2,4,7,8,9,12,14],[2,5,6,7,9,12,13],[2,5,6,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,9,10,12,14],[3,4,7,8,10,11,13],[3,5,6,8,9,11,13],[3,5,7,8,11,12,14]]; G[1199]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1200: autom. group order 2, simple B[1200]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,10,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,12,13],[2,5,6,8,9,11,14],[2,5,7,9,10,11,13],[3,4,5,6,10,11,13],[3,4,6,7,9,11,14],[3,4,6,9,10,12,14],[3,4,7,8,9,12,13],[3,5,6,8,11,12,13],[3,5,7,8,10,11,14]]; G[1200]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1201: autom. group order 2, simple B[1201]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,10,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,13],[2,5,6,8,9,12,13],[2,5,7,9,10,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,12,14],[3,4,6,9,10,11,13],[3,4,7,8,9,11,14],[3,5,6,8,11,12,14],[3,5,7,8,10,11,13]]; G[1201]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1202: autom. group order 2, simple B[1202]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,10,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,12,13],[2,5,6,8,9,11,14],[2,5,7,9,10,11,13],[3,4,5,6,10,11,13],[3,4,6,7,9,11,14],[3,4,6,9,10,12,14],[3,4,7,8,9,12,13],[3,5,6,8,11,12,13],[3,5,7,8,10,11,14]]; G[1202]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1203: autom. group order 2, simple B[1203]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,10,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,13],[2,5,6,8,9,12,13],[2,5,7,9,10,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,12,14],[3,4,6,9,10,11,13],[3,4,7,8,9,11,14],[3,5,6,8,11,12,14],[3,5,7,8,10,11,13]]; G[1203]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1204: autom. group order 2, simple B[1204]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,11,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,11,13],[2,5,6,8,9,12,13],[2,5,7,9,10,11,14],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,6,9,10,12,13],[3,4,7,8,9,11,14],[3,5,6,8,10,11,14],[3,5,7,8,11,12,13]]; G[1204]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1205: autom. group order 2, simple B[1205]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,9,10,13,14],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,11,12,13],[2,4,7,8,10,12,14],[2,5,6,7,9,12,13],[2,5,6,8,9,12,14],[2,5,7,9,10,11,13],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,9,10,12,14],[3,4,7,8,9,11,13],[3,5,6,8,10,11,13],[3,5,7,8,11,12,14]]; G[1205]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1206: autom. group order 2, simple B[1206]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,11,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,11,13],[2,5,6,8,9,12,13],[2,5,7,9,10,11,14],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,6,9,10,12,13],[3,4,7,8,9,11,14],[3,5,6,8,10,11,14],[3,5,7,8,11,12,13]]; G[1206]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1207: autom. group order 2, simple B[1207]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,9,10,11,12],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,11,12,13],[2,4,7,8,10,12,14],[2,5,6,7,9,12,13],[2,5,6,8,9,12,14],[2,5,7,9,10,11,13],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,9,10,12,14],[3,4,7,8,9,11,13],[3,5,6,8,10,11,13],[3,5,7,8,11,12,14]]; G[1207]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1208: autom. group order 2, simple B[1208]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,9,10,12,14],[2,4,7,8,9,12,13],[2,5,6,7,9,12,13],[2,5,6,8,10,11,13],[2,5,7,8,11,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,11,12,13],[3,4,7,8,10,12,14],[3,5,6,8,9,11,14],[3,5,7,9,10,11,13]]; G[1208]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1209: autom. group order 2, simple B[1209]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,9,10,12,14],[2,4,7,8,9,12,13],[2,5,6,7,9,12,13],[2,5,6,8,10,11,13],[2,5,7,8,11,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,11,12,13],[3,4,7,8,10,12,14],[3,5,6,8,9,11,14],[3,5,7,9,10,11,13]]; G[1209]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1210: autom. group order 2, simple B[1210]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,9,10,12,13],[2,4,7,8,9,12,14],[2,5,6,7,9,11,13],[2,5,6,8,11,12,14],[2,5,7,8,10,12,13],[3,4,5,6,10,12,13],[3,4,6,7,9,12,14],[3,4,6,8,10,11,14],[3,4,7,8,11,12,13],[3,5,6,8,9,11,13],[3,5,7,9,10,11,14]]; G[1210]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1211: autom. group order 2, simple B[1211]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,9,10,12,14],[2,4,7,8,9,11,13],[2,5,6,7,9,12,13],[2,5,6,8,11,12,13],[2,5,7,8,10,11,14],[3,4,5,6,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,10,12,13],[3,4,7,8,11,12,14],[3,5,6,8,9,12,14],[3,5,7,9,10,11,13]]; G[1211]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1212: autom. group order 2, simple B[1212]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,9,10,12,13],[2,4,7,8,9,12,14],[2,5,6,7,9,11,13],[2,5,6,8,11,12,14],[2,5,7,8,10,12,13],[3,4,5,6,10,12,13],[3,4,6,7,9,12,14],[3,4,6,8,10,11,14],[3,4,7,8,11,12,13],[3,5,6,8,9,11,13],[3,5,7,9,10,11,14]]; G[1212]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1213: autom. group order 2, simple B[1213]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,9,10,12,14],[2,4,7,8,9,11,13],[2,5,6,7,9,12,13],[2,5,6,8,11,12,13],[2,5,7,8,10,11,14],[3,4,5,6,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,10,12,13],[3,4,7,8,11,12,14],[3,5,6,8,9,12,14],[3,5,7,9,10,11,13]]; G[1213]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1214: autom. group order 2, simple B[1214]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,13],[2,4,6,9,10,12,14],[2,4,7,8,9,12,13],[2,5,6,7,9,11,14],[2,5,6,8,10,11,12],[2,5,7,8,12,13,14],[3,4,5,6,10,12,13],[3,4,6,7,9,12,14],[3,4,6,8,11,13,14],[3,4,7,8,10,11,12],[3,5,6,8,9,11,13],[3,5,7,9,10,11,14]]; G[1214]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 1215: autom. group order 2, simple B[1215]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,13],[2,4,6,9,10,12,14],[2,4,7,8,9,11,13],[2,5,6,7,9,12,14],[2,5,6,8,10,11,12],[2,5,7,8,11,13,14],[3,4,5,6,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,12,13,14],[3,4,7,8,10,11,12],[3,5,6,8,9,12,13],[3,5,7,9,10,11,14]]; G[1215]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 1216: autom. group order 2, simple B[1216]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,13],[2,4,6,9,10,12,14],[2,4,7,8,9,12,13],[2,5,6,7,9,12,14],[2,5,6,8,11,13,14],[2,5,7,8,10,11,12],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,10,11,12],[3,4,7,8,12,13,14],[3,5,6,8,9,11,13],[3,5,7,9,10,11,14]]; G[1216]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 1217: autom. group order 2, simple B[1217]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,13],[2,4,6,9,10,12,14],[2,4,7,8,9,11,13],[2,5,6,7,9,11,14],[2,5,6,8,12,13,14],[2,5,7,8,10,11,12],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,10,11,12],[3,4,7,8,11,13,14],[3,5,6,8,9,12,13],[3,5,7,9,10,11,14]]; G[1217]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 1218: autom. group order 2, simple B[1218]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,11,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,7,10,12,13],[2,4,6,9,10,12,13],[2,4,7,8,9,11,12],[2,5,6,7,9,12,14],[2,5,6,8,11,13,14],[2,5,7,8,10,11,14],[3,4,5,6,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,10,12,14],[3,4,7,8,12,13,14],[3,5,6,8,9,11,12],[3,5,7,9,10,11,13]]; G[1218]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 1219: autom. group order 2, simple B[1219]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,12,14],[1,5,6,9,10,11,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,7,10,11,13],[2,4,6,9,10,12,13],[2,4,7,8,9,11,12],[2,5,6,7,9,11,14],[2,5,6,8,12,13,14],[2,5,7,8,10,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,12,14],[3,4,6,8,10,11,14],[3,4,7,8,11,13,14],[3,5,6,8,9,11,12],[3,5,7,9,10,11,13]]; G[1219]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 1220: autom. group order 2, simple B[1220]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,9,10,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,12,13],[2,5,6,8,9,11,13],[2,5,7,8,11,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,11,12,13],[3,4,7,8,9,12,14],[3,5,6,8,10,11,14],[3,5,7,9,10,11,13]]; G[1220]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1221: autom. group order 2, simple B[1221]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,9,10,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,12,13],[2,5,6,8,9,11,13],[2,5,7,8,11,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,11,12,13],[3,4,7,8,9,12,14],[3,5,6,8,10,11,14],[3,5,7,9,10,11,13]]; G[1221]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1222: autom. group order 2, simple B[1222]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,9,10,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,12,13],[2,5,6,8,9,11,14],[2,5,7,8,10,11,13],[3,4,5,6,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,10,12,14],[3,4,7,8,9,12,13],[3,5,6,8,11,12,13],[3,5,7,9,10,11,14]]; G[1222]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1223: autom. group order 2, simple B[1223]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,9,10,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,13],[2,5,6,8,9,12,13],[2,5,7,8,10,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,12,14],[3,4,6,8,10,11,13],[3,4,7,8,9,11,14],[3,5,6,8,11,12,14],[3,5,7,9,10,11,13]]; G[1223]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1224: autom. group order 2, simple B[1224]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,9,10,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,12,13],[2,5,6,8,9,11,14],[2,5,7,8,10,11,13],[3,4,5,6,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,10,12,14],[3,4,7,8,9,12,13],[3,5,6,8,11,12,13],[3,5,7,9,10,11,14]]; G[1224]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1225: autom. group order 2, simple B[1225]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,9,10,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,13],[2,5,6,8,9,12,13],[2,5,7,8,10,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,12,14],[3,4,6,8,10,11,13],[3,4,7,8,9,11,14],[3,5,6,8,11,12,14],[3,5,7,9,10,11,13]]; G[1225]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1226: autom. group order 2, simple B[1226]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,13],[2,4,6,9,10,12,14],[2,4,7,8,10,11,12],[2,5,6,7,9,12,14],[2,5,6,8,9,11,13],[2,5,7,8,11,13,14],[3,4,5,6,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,12,13,14],[3,4,7,8,9,12,13],[3,5,6,8,10,11,12],[3,5,7,9,10,11,14]]; G[1226]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 1227: autom. group order 2, simple B[1227]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,13],[2,4,6,9,10,12,14],[2,4,7,8,10,11,12],[2,5,6,7,9,11,14],[2,5,6,8,9,12,13],[2,5,7,8,12,13,14],[3,4,5,6,10,12,13],[3,4,6,7,9,12,14],[3,4,6,8,11,13,14],[3,4,7,8,9,11,13],[3,5,6,8,10,11,12],[3,5,7,9,10,11,14]]; G[1227]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 1228: autom. group order 2, simple B[1228]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,13],[2,4,6,9,10,12,14],[2,4,7,8,12,13,14],[2,5,6,7,9,12,14],[2,5,6,8,9,11,13],[2,5,7,8,10,11,12],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,10,11,12],[3,4,7,8,9,12,13],[3,5,6,8,11,13,14],[3,5,7,9,10,11,14]]; G[1228]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 1229: autom. group order 2, simple B[1229]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,13],[2,4,6,9,10,12,14],[2,4,7,8,11,13,14],[2,5,6,7,9,11,14],[2,5,6,8,9,12,13],[2,5,7,8,10,11,12],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,10,11,12],[3,4,7,8,9,11,13],[3,5,6,8,12,13,14],[3,5,7,9,10,11,14]]; G[1229]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 1230: autom. group order 2, simple B[1230]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,11,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,7,10,11,13],[2,4,6,9,10,12,13],[2,4,7,8,12,13,14],[2,5,6,7,9,11,14],[2,5,6,8,9,11,12],[2,5,7,8,10,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,12,14],[3,4,6,8,10,11,14],[3,4,7,8,9,11,12],[3,5,6,8,11,13,14],[3,5,7,9,10,11,13]]; G[1230]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 1231: autom. group order 2, simple B[1231]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,12,14],[1,5,6,9,10,11,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,7,10,12,13],[2,4,6,9,10,12,13],[2,4,7,8,11,13,14],[2,5,6,7,9,12,14],[2,5,6,8,9,11,12],[2,5,7,8,10,11,14],[3,4,5,6,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,10,12,14],[3,4,7,8,9,11,12],[3,5,6,8,12,13,14],[3,5,7,9,10,11,13]]; G[1231]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 1232: autom. group order 2, simple B[1232]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,7,9,11,14],[2,4,6,9,10,12,14],[2,4,7,8,9,12,13],[2,5,6,7,10,12,13],[2,5,6,8,10,11,13],[2,5,7,8,11,12,14],[3,4,5,6,9,12,13],[3,4,6,7,10,11,14],[3,4,6,8,11,12,13],[3,4,7,8,10,12,14],[3,5,6,8,9,11,14],[3,5,7,9,10,11,13]]; G[1232]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1233: autom. group order 2, simple B[1233]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,7,9,11,14],[2,4,6,9,10,12,13],[2,4,7,8,9,12,14],[2,5,6,7,10,11,13],[2,5,6,8,11,12,14],[2,5,7,8,10,12,13],[3,4,5,6,9,12,13],[3,4,6,7,10,12,14],[3,4,6,8,10,11,14],[3,4,7,8,11,12,13],[3,5,6,8,9,11,13],[3,5,7,9,10,11,14]]; G[1233]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1234: autom. group order 2, simple B[1234]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,7,9,12,14],[2,4,6,9,10,12,14],[2,4,7,8,9,11,13],[2,5,6,7,10,12,13],[2,5,6,8,11,12,13],[2,5,7,8,10,11,14],[3,4,5,6,9,11,13],[3,4,6,7,10,11,14],[3,4,6,8,10,12,13],[3,4,7,8,11,12,14],[3,5,6,8,9,12,14],[3,5,7,9,10,11,13]]; G[1234]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1235: autom. group order 2, simple B[1235]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,7,9,11,14],[2,4,6,9,10,12,14],[2,4,7,8,10,12,13],[2,5,6,7,10,12,13],[2,5,6,8,9,11,13],[2,5,7,8,11,12,14],[3,4,5,6,9,12,13],[3,4,6,7,10,11,14],[3,4,6,8,11,12,13],[3,4,7,8,9,12,14],[3,5,6,8,10,11,14],[3,5,7,9,10,11,13]]; G[1235]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1236: autom. group order 2, simple B[1236]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,7,9,12,14],[2,4,6,9,10,12,13],[2,4,7,8,11,12,14],[2,5,6,7,10,12,13],[2,5,6,8,9,11,14],[2,5,7,8,10,11,13],[3,4,5,6,9,11,13],[3,4,6,7,10,11,14],[3,4,6,8,10,12,14],[3,4,7,8,9,12,13],[3,5,6,8,11,12,13],[3,5,7,9,10,11,14]]; G[1236]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1237: autom. group order 2, simple B[1237]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,7,9,11,14],[2,4,6,9,10,12,14],[2,4,7,8,11,12,13],[2,5,6,7,10,11,13],[2,5,6,8,9,12,13],[2,5,7,8,10,12,14],[3,4,5,6,9,12,13],[3,4,6,7,10,12,14],[3,4,6,8,10,11,13],[3,4,7,8,9,11,14],[3,5,6,8,11,12,14],[3,5,7,9,10,11,13]]; G[1237]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1238: autom. group order 2, simple B[1238]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,9,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,12,13],[2,5,6,9,10,11,13],[2,5,7,8,11,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,10,11,14],[3,5,7,8,9,11,13]]; G[1238]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1239: autom. group order 2, simple B[1239]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,9,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,11,13],[2,5,6,9,10,12,14],[2,5,7,8,11,12,13],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,11,12,14],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[3,5,7,8,9,11,14]]; G[1239]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1240: autom. group order 2, simple B[1240]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,9,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,12,13],[2,5,6,9,10,11,13],[2,5,7,8,11,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,10,11,14],[3,5,7,8,9,11,13]]; G[1240]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1241: autom. group order 2, simple B[1241]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,9,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,11,13],[2,5,6,9,10,12,14],[2,5,7,8,11,12,13],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,11,12,14],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[3,5,7,8,9,11,14]]; G[1241]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1242: autom. group order 2, simple B[1242]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,9,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,12,13],[2,5,6,9,10,11,14],[2,5,7,8,10,11,13],[3,4,5,6,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,10,12,14],[3,4,7,9,10,12,13],[3,5,6,8,11,12,13],[3,5,7,8,9,11,14]]; G[1242]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1243: autom. group order 2, simple B[1243]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,9,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,13],[2,5,6,9,10,12,13],[2,5,7,8,10,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,12,14],[3,4,6,8,10,11,13],[3,4,7,9,10,11,14],[3,5,6,8,11,12,14],[3,5,7,8,9,11,13]]; G[1243]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1244: autom. group order 2, simple B[1244]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,9,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,12,13],[2,5,6,9,10,11,14],[2,5,7,8,10,11,13],[3,4,5,6,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,10,12,14],[3,4,7,9,10,12,13],[3,5,6,8,11,12,13],[3,5,7,8,9,11,14]]; G[1244]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1245: autom. group order 2, simple B[1245]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,9,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,13],[2,5,6,9,10,12,13],[2,5,7,8,10,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,12,14],[3,4,6,8,10,11,13],[3,4,7,9,10,11,14],[3,5,6,8,11,12,14],[3,5,7,8,9,11,13]]; G[1245]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1246: autom. group order 2, simple B[1246]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,13],[2,4,6,8,9,12,13],[2,4,7,8,10,11,12],[2,5,6,7,9,12,14],[2,5,6,9,10,11,14],[2,5,7,8,11,13,14],[3,4,5,6,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,12,13,14],[3,4,7,9,10,12,14],[3,5,6,8,10,11,12],[3,5,7,8,9,11,13]]; G[1246]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 1247: autom. group order 2, simple B[1247]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,13],[2,4,6,8,9,12,13],[2,4,7,8,10,11,12],[2,5,6,7,9,11,14],[2,5,6,9,10,12,14],[2,5,7,8,12,13,14],[3,4,5,6,10,12,13],[3,4,6,7,9,12,14],[3,4,6,8,11,13,14],[3,4,7,9,10,11,14],[3,5,6,8,10,11,12],[3,5,7,8,9,11,13]]; G[1247]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 1248: autom. group order 2, simple B[1248]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,13],[2,4,6,8,9,12,13],[2,4,7,8,12,13,14],[2,5,6,7,9,12,14],[2,5,6,9,10,11,14],[2,5,7,8,10,11,12],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,10,11,12],[3,4,7,9,10,12,14],[3,5,6,8,11,13,14],[3,5,7,8,9,11,13]]; G[1248]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 1249: autom. group order 2, simple B[1249]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,13],[2,4,6,8,9,12,13],[2,4,7,8,11,13,14],[2,5,6,7,9,11,14],[2,5,6,9,10,12,14],[2,5,7,8,10,11,12],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,10,11,12],[3,4,7,9,10,11,14],[3,5,6,8,12,13,14],[3,5,7,8,9,11,13]]; G[1249]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 1250: autom. group order 2, simple B[1250]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,11,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,7,10,12,13],[2,4,6,8,9,11,12],[2,4,7,8,10,12,14],[2,5,6,7,9,11,14],[2,5,6,9,10,12,13],[2,5,7,8,11,13,14],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,12,13,14],[3,4,7,9,10,11,13],[3,5,6,8,10,11,14],[3,5,7,8,9,11,12]]; G[1250]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 1251: autom. group order 2, simple B[1251]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,12,14],[1,5,6,9,10,11,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,7,10,11,13],[2,4,6,8,9,11,12],[2,4,7,8,10,12,14],[2,5,6,7,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,11,13,14],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,12,13,14],[3,4,7,9,10,11,13],[3,5,6,8,10,11,14],[3,5,7,8,9,11,12]]; G[1251]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 1252: autom. group order 2, simple B[1252]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,11,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,7,10,12,13],[2,4,6,8,9,11,12],[2,4,7,8,12,13,14],[2,5,6,7,9,11,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,10,12,14],[3,4,7,9,10,11,13],[3,5,6,8,11,13,14],[3,5,7,8,9,11,12]]; G[1252]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 1253: autom. group order 2, simple B[1253]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,12,14],[1,5,6,9,10,11,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,7,10,11,13],[2,4,6,8,9,11,12],[2,4,7,8,12,13,14],[2,5,6,7,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,10,12,14],[3,4,7,9,10,11,13],[3,5,6,8,11,13,14],[3,5,7,8,9,11,12]]; G[1253]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 1254: autom. group order 2, simple B[1254]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,10,12,14],[2,4,7,8,9,12,13],[2,5,6,7,9,12,13],[2,5,6,9,10,11,13],[2,5,7,8,11,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,9,11,14],[3,5,7,8,10,11,13]]; G[1254]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1255: autom. group order 2, simple B[1255]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,10,12,13],[2,4,7,8,9,11,14],[2,5,6,7,9,11,13],[2,5,6,9,10,12,14],[2,5,7,8,11,12,13],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,11,12,14],[3,4,7,9,10,11,13],[3,5,6,8,9,12,13],[3,5,7,8,10,11,14]]; G[1255]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1256: autom. group order 2, simple B[1256]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,10,12,14],[2,4,7,8,9,12,13],[2,5,6,7,9,12,13],[2,5,6,9,10,11,13],[2,5,7,8,11,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,9,11,14],[3,5,7,8,10,11,13]]; G[1256]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1257: autom. group order 2, simple B[1257]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,10,12,13],[2,4,7,8,9,11,14],[2,5,6,7,9,11,13],[2,5,6,9,10,12,14],[2,5,7,8,11,12,13],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,11,12,14],[3,4,7,9,10,11,13],[3,5,6,8,9,12,13],[3,5,7,8,10,11,14]]; G[1257]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1258: autom. group order 2, simple B[1258]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,11,12,14],[2,4,7,8,9,12,13],[2,5,6,7,9,11,13],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,10,12,13],[3,4,7,9,10,11,14],[3,5,6,8,9,11,14],[3,5,7,8,11,12,13]]; G[1258]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1259: autom. group order 2, simple B[1259]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,11,12,13],[2,4,7,8,9,12,14],[2,5,6,7,9,12,13],[2,5,6,9,10,12,14],[2,5,7,8,10,11,13],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,10,12,14],[3,4,7,9,10,11,13],[3,5,6,8,9,11,13],[3,5,7,8,11,12,14]]; G[1259]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1260: autom. group order 2, simple B[1260]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,11,12,14],[2,4,7,8,9,12,13],[2,5,6,7,9,11,13],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,10,12,13],[3,4,7,9,10,11,14],[3,5,6,8,9,11,14],[3,5,7,8,11,12,13]]; G[1260]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1261: autom. group order 2, simple B[1261]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,11,12,13],[2,4,7,8,9,12,14],[2,5,6,7,9,12,13],[2,5,6,9,10,12,14],[2,5,7,8,10,11,13],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,10,12,14],[3,4,7,9,10,11,13],[3,5,6,8,9,11,13],[3,5,7,8,11,12,14]]; G[1261]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1262: autom. group order 2, simple B[1262]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,13],[2,4,6,8,10,11,12],[2,4,7,8,9,12,13],[2,5,6,7,9,11,14],[2,5,6,9,10,12,14],[2,5,7,8,11,13,14],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,12,13,14],[3,4,7,9,10,11,14],[3,5,6,8,9,11,13],[3,5,7,8,10,11,12]]; G[1262]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 1263: autom. group order 2, simple B[1263]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,13],[2,4,6,8,10,11,12],[2,4,7,8,9,12,13],[2,5,6,7,9,12,14],[2,5,6,9,10,12,14],[2,5,7,8,11,13,14],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,12,13,14],[3,4,7,9,10,11,14],[3,5,6,8,9,11,13],[3,5,7,8,10,11,12]]; G[1263]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 1264: autom. group order 2, simple B[1264]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,13],[2,4,6,8,12,13,14],[2,4,7,8,9,12,13],[2,5,6,7,9,12,14],[2,5,6,9,10,11,14],[2,5,7,8,10,11,12],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,10,11,12],[3,4,7,9,10,12,14],[3,5,6,8,9,11,13],[3,5,7,8,11,13,14]]; G[1264]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 1265: autom. group order 2, simple B[1265]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,13],[2,4,6,8,12,13,14],[2,4,7,8,9,11,13],[2,5,6,7,9,11,14],[2,5,6,9,10,12,14],[2,5,7,8,10,11,12],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,10,11,12],[3,4,7,9,10,11,14],[3,5,6,8,9,12,13],[3,5,7,8,11,13,14]]; G[1265]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 1266: autom. group order 2, simple B[1266]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,11,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,7,10,12,13],[2,4,6,8,10,12,14],[2,4,7,8,9,11,12],[2,5,6,7,9,12,14],[2,5,6,9,10,11,13],[2,5,7,8,11,13,14],[3,4,5,6,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,12,13,14],[3,4,7,9,10,12,13],[3,5,6,8,9,11,12],[3,5,7,8,10,11,14]]; G[1266]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 1267: autom. group order 2, simple B[1267]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,12,14],[1,5,6,9,10,11,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,7,10,11,13],[2,4,6,8,10,12,14],[2,4,7,8,9,11,12],[2,5,6,7,9,11,14],[2,5,6,9,10,12,13],[2,5,7,8,12,13,14],[3,4,5,6,10,12,13],[3,4,6,7,9,12,14],[3,4,6,8,11,13,14],[3,4,7,9,10,11,13],[3,5,6,8,9,11,12],[3,5,7,8,10,11,14]]; G[1267]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 1268: autom. group order 2, simple B[1268]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,11,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,7,10,12,13],[2,4,6,8,12,13,14],[2,4,7,8,9,11,12],[2,5,6,7,9,12,14],[2,5,6,9,10,11,13],[2,5,7,8,10,11,14],[3,4,5,6,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,10,12,14],[3,4,7,9,10,12,13],[3,5,6,8,9,11,12],[3,5,7,8,11,13,14]]; G[1268]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 1269: autom. group order 2, simple B[1269]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,12,14],[1,5,6,9,10,11,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,7,10,11,13],[2,4,6,8,12,13,14],[2,4,7,8,9,11,12],[2,5,6,7,9,11,14],[2,5,6,9,10,12,13],[2,5,7,8,10,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,12,14],[3,4,6,8,10,11,14],[3,4,7,9,10,11,13],[3,5,6,8,9,11,12],[3,5,7,8,11,13,14]]; G[1269]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 1270: autom. group order 2, simple B[1270]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,10,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,12,13],[2,5,6,9,10,11,14],[2,5,7,8,9,11,13],[3,4,5,6,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,9,12,14],[3,4,7,9,10,12,13],[3,5,6,8,11,12,13],[3,5,7,8,10,11,14]]; G[1270]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1271: autom. group order 2, simple B[1271]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,10,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,13],[2,5,6,9,10,12,13],[2,5,7,8,9,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,12,14],[3,4,6,8,9,11,13],[3,4,7,9,10,11,14],[3,5,6,8,11,12,14],[3,5,7,8,10,11,13]]; G[1271]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1272: autom. group order 2, simple B[1272]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,10,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,12,13],[2,5,6,9,10,11,14],[2,5,7,8,9,11,13],[3,4,5,6,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,9,12,14],[3,4,7,9,10,12,13],[3,5,6,8,11,12,13],[3,5,7,8,10,11,14]]; G[1272]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1273: autom. group order 2, simple B[1273]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,10,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,13],[2,5,6,9,10,12,13],[2,5,7,8,9,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,12,14],[3,4,6,8,9,11,13],[3,4,7,9,10,11,14],[3,5,6,8,11,12,14],[3,5,7,8,10,11,13]]; G[1273]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1274: autom. group order 2, simple B[1274]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,11,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,11,13],[2,5,6,9,10,12,13],[2,5,7,8,9,11,14],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,9,12,13],[3,4,7,9,10,11,14],[3,5,6,8,10,11,14],[3,5,7,8,11,12,13]]; G[1274]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1275: autom. group order 2, simple B[1275]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,11,12,13],[2,4,7,8,10,12,14],[2,5,6,7,9,12,13],[2,5,6,9,10,12,14],[2,5,7,8,9,11,13],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,9,12,14],[3,4,7,9,10,11,13],[3,5,6,8,10,11,13],[3,5,7,8,11,12,14]]; G[1275]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1276: autom. group order 2, simple B[1276]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,11,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,11,13],[2,5,6,9,10,12,13],[2,5,7,8,9,11,14],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,9,12,13],[3,4,7,9,10,11,14],[3,5,6,8,10,11,14],[3,5,7,8,11,12,13]]; G[1276]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1277: autom. group order 2, simple B[1277]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,11,12,13],[2,4,7,8,10,12,14],[2,5,6,7,9,12,13],[2,5,6,9,10,12,14],[2,5,7,8,9,11,13],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,9,12,14],[3,4,7,9,10,11,13],[3,5,6,8,10,11,13],[3,5,7,8,11,12,14]]; G[1277]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1278: autom. group order 2, simple B[1278]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,13],[2,4,6,8,10,11,12],[2,4,7,8,12,13,14],[2,5,6,7,9,11,14],[2,5,6,9,10,12,14],[2,5,7,8,9,11,13],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,9,12,13],[3,4,7,9,10,11,14],[3,5,6,8,11,13,14],[3,5,7,8,10,11,12]]; G[1278]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 1279: autom. group order 2, simple B[1279]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,13],[2,4,6,8,10,11,12],[2,4,7,8,12,13,14],[2,5,6,7,9,12,14],[2,5,6,9,10,12,14],[2,5,7,8,9,11,13],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,9,12,13],[3,4,7,9,10,11,14],[3,5,6,8,11,13,14],[3,5,7,8,10,11,12]]; G[1279]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 1280: autom. group order 2, simple B[1280]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,13],[2,4,6,8,12,13,14],[2,4,7,8,10,11,12],[2,5,6,7,9,12,14],[2,5,6,9,10,11,14],[2,5,7,8,9,11,13],[3,4,5,6,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,9,12,13],[3,4,7,9,10,12,14],[3,5,6,8,10,11,12],[3,5,7,8,11,13,14]]; G[1280]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 1281: autom. group order 2, simple B[1281]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,13],[2,4,6,8,12,13,14],[2,4,7,8,10,11,12],[2,5,6,7,9,11,14],[2,5,6,9,10,12,14],[2,5,7,8,9,12,13],[3,4,5,6,10,12,13],[3,4,6,7,9,12,14],[3,4,6,8,9,11,13],[3,4,7,9,10,11,14],[3,5,6,8,10,11,12],[3,5,7,8,11,13,14]]; G[1281]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 1282: autom. group order 2, simple B[1282]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,11,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,7,10,11,13],[2,4,6,8,10,12,14],[2,4,7,8,12,13,14],[2,5,6,7,9,12,14],[2,5,6,9,10,11,13],[2,5,7,8,9,11,12],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,9,11,12],[3,4,7,9,10,12,13],[3,5,6,8,11,13,14],[3,5,7,8,10,11,14]]; G[1282]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 1283: autom. group order 2, simple B[1283]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,12,14],[1,5,6,9,10,11,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,7,10,12,13],[2,4,6,8,10,12,14],[2,4,7,8,11,13,14],[2,5,6,7,9,11,14],[2,5,6,9,10,12,13],[2,5,7,8,9,11,12],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,9,11,12],[3,4,7,9,10,11,13],[3,5,6,8,12,13,14],[3,5,7,8,10,11,14]]; G[1283]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 1284: autom. group order 2, simple B[1284]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,11,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,7,10,11,13],[2,4,6,8,12,13,14],[2,4,7,8,10,12,14],[2,5,6,7,9,12,14],[2,5,6,9,10,11,13],[2,5,7,8,9,11,12],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,9,11,12],[3,4,7,9,10,12,13],[3,5,6,8,10,11,14],[3,5,7,8,11,13,14]]; G[1284]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 1285: autom. group order 2, simple B[1285]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,12,14],[1,5,6,9,10,11,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,7,10,12,13],[2,4,6,8,12,13,14],[2,4,7,8,10,11,14],[2,5,6,7,9,11,14],[2,5,6,9,10,12,13],[2,5,7,8,9,11,12],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,9,11,12],[3,4,7,9,10,11,13],[3,5,6,8,10,12,14],[3,5,7,8,11,13,14]]; G[1285]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 1286: autom. group order 2, simple B[1286]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,7,9,11,14],[2,4,6,8,9,12,14],[2,4,7,8,10,12,13],[2,5,6,7,10,12,13],[2,5,6,9,10,11,13],[2,5,7,8,11,12,14],[3,4,5,6,9,12,13],[3,4,6,7,10,11,14],[3,4,6,8,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,10,11,14],[3,5,7,8,9,11,13]]; G[1286]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1287: autom. group order 2, simple B[1287]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,7,9,12,14],[2,4,6,8,9,12,13],[2,4,7,8,10,11,14],[2,5,6,7,10,11,13],[2,5,6,9,10,12,14],[2,5,7,8,11,12,13],[3,4,5,6,9,11,13],[3,4,6,7,10,12,14],[3,4,6,8,11,12,14],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[3,5,7,8,9,11,14]]; G[1287]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1288: autom. group order 2, simple B[1288]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,7,9,12,14],[2,4,6,8,9,12,13],[2,4,7,8,11,12,14],[2,5,6,7,10,12,13],[2,5,6,9,10,11,14],[2,5,7,8,10,11,13],[3,4,5,6,9,11,13],[3,4,6,7,10,11,14],[3,4,6,8,10,12,14],[3,4,7,9,10,12,13],[3,5,6,8,11,12,13],[3,5,7,8,9,11,14]]; G[1288]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1289: autom. group order 2, simple B[1289]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,7,9,11,14],[2,4,6,8,9,12,14],[2,4,7,8,11,12,13],[2,5,6,7,10,11,13],[2,5,6,9,10,12,13],[2,5,7,8,10,12,14],[3,4,5,6,9,12,13],[3,4,6,7,10,12,14],[3,4,6,8,10,11,13],[3,4,7,9,10,11,14],[3,5,6,8,11,12,14],[3,5,7,8,9,11,13]]; G[1289]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1290: autom. group order 2, simple B[1290]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,7,9,11,14],[2,4,6,8,10,12,14],[2,4,7,8,9,12,13],[2,5,6,7,10,12,13],[2,5,6,9,10,11,13],[2,5,7,8,11,12,14],[3,4,5,6,9,12,13],[3,4,6,7,10,11,14],[3,4,6,8,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,9,11,14],[3,5,7,8,10,11,13]]; G[1290]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1291: autom. group order 2, simple B[1291]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,7,9,12,14],[2,4,6,8,10,12,13],[2,4,7,8,9,11,14],[2,5,6,7,10,11,13],[2,5,6,9,10,12,14],[2,5,7,8,11,12,13],[3,4,5,6,9,11,13],[3,4,6,7,10,12,14],[3,4,6,8,11,12,14],[3,4,7,9,10,11,13],[3,5,6,8,9,12,13],[3,5,7,8,10,11,14]]; G[1291]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1292: autom. group order 2, simple B[1292]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,7,9,12,14],[2,4,6,8,11,12,14],[2,4,7,8,9,12,13],[2,5,6,7,10,11,13],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,9,11,13],[3,4,6,7,10,12,14],[3,4,6,8,10,12,13],[3,4,7,9,10,11,14],[3,5,6,8,9,11,14],[3,5,7,8,11,12,13]]; G[1292]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1293: autom. group order 2, simple B[1293]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,7,9,11,14],[2,4,6,8,11,12,13],[2,4,7,8,9,12,14],[2,5,6,7,10,12,13],[2,5,6,9,10,12,14],[2,5,7,8,10,11,13],[3,4,5,6,9,12,13],[3,4,6,7,10,11,14],[3,4,6,8,10,12,14],[3,4,7,9,10,11,13],[3,5,6,8,9,11,13],[3,5,7,8,11,12,14]]; G[1293]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1294: autom. group order 2, simple B[1294]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,7,9,12,14],[2,4,6,8,10,12,13],[2,4,7,8,11,12,14],[2,5,6,7,10,12,13],[2,5,6,9,10,11,14],[2,5,7,8,9,11,13],[3,4,5,6,9,11,13],[3,4,6,7,10,11,14],[3,4,6,8,9,12,14],[3,4,7,9,10,12,13],[3,5,6,8,11,12,13],[3,5,7,8,10,11,14]]; G[1294]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1295: autom. group order 2, simple B[1295]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,7,9,11,14],[2,4,6,8,10,12,14],[2,4,7,8,11,12,13],[2,5,6,7,10,11,13],[2,5,6,9,10,12,13],[2,5,7,8,9,12,14],[3,4,5,6,9,12,13],[3,4,6,7,10,12,14],[3,4,6,8,9,11,13],[3,4,7,9,10,11,14],[3,5,6,8,11,12,14],[3,5,7,8,10,11,13]]; G[1295]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1296: autom. group order 2, simple B[1296]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,7,9,12,14],[2,4,6,8,11,12,14],[2,4,7,8,10,12,13],[2,5,6,7,10,11,13],[2,5,6,9,10,12,13],[2,5,7,8,9,11,14],[3,4,5,6,9,11,13],[3,4,6,7,10,12,14],[3,4,6,8,9,12,13],[3,4,7,9,10,11,14],[3,5,6,8,10,11,14],[3,5,7,8,11,12,13]]; G[1296]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1297: autom. group order 2, simple B[1297]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,7,9,11,14],[2,4,6,8,11,12,13],[2,4,7,8,10,12,14],[2,5,6,7,10,12,13],[2,5,6,9,10,12,14],[2,5,7,8,9,11,13],[3,4,5,6,9,12,13],[3,4,6,7,10,11,14],[3,4,6,8,9,12,14],[3,4,7,9,10,11,13],[3,5,6,8,10,11,13],[3,5,7,8,11,12,14]]; G[1297]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1298: autom. group order 2, simple B[1298]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,9,12,13],[2,4,7,8,10,12,14],[2,5,6,7,9,11,13],[2,5,6,8,11,12,14],[2,5,7,9,10,12,13],[3,4,5,6,10,12,13],[3,4,6,7,9,12,14],[3,4,6,9,10,11,14],[3,4,7,8,11,12,13],[3,5,6,8,10,11,13],[3,5,7,8,9,11,14]]; G[1298]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1299: autom. group order 2, simple B[1299]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,9,12,14],[2,4,7,8,10,11,13],[2,5,6,7,9,12,13],[2,5,6,8,11,12,13],[2,5,7,9,10,11,14],[3,4,5,6,10,11,13],[3,4,6,7,9,11,14],[3,4,6,9,10,12,13],[3,4,7,8,11,12,14],[3,5,6,8,10,12,14],[3,5,7,8,9,11,13]]; G[1299]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1300: autom. group order 2, simple B[1300]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,9,12,13],[2,4,7,8,10,12,14],[2,5,6,7,9,11,13],[2,5,6,8,11,12,14],[2,5,7,9,10,12,13],[3,4,5,6,10,12,13],[3,4,6,7,9,12,14],[3,4,6,9,10,11,14],[3,4,7,8,11,12,13],[3,5,6,8,10,11,13],[3,5,7,8,9,11,14]]; G[1300]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1301: autom. group order 2, simple B[1301]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,9,12,14],[2,4,7,8,10,11,13],[2,5,6,7,9,12,13],[2,5,6,8,11,12,13],[2,5,7,9,10,11,14],[3,4,5,6,10,11,13],[3,4,6,7,9,11,14],[3,4,6,9,10,12,13],[3,4,7,8,11,12,14],[3,5,6,8,10,12,14],[3,5,7,8,9,11,13]]; G[1301]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1302: autom. group order 2, simple B[1302]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,9,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,12,13],[2,5,6,8,10,11,14],[2,5,7,9,10,11,13],[3,4,5,6,10,11,13],[3,4,6,7,9,11,14],[3,4,6,9,10,12,14],[3,4,7,8,10,12,13],[3,5,6,8,11,12,13],[3,5,7,8,9,11,14]]; G[1302]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1303: autom. group order 2, simple B[1303]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,9,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,13],[2,5,6,8,10,12,13],[2,5,7,9,10,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,12,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,14],[3,5,6,8,11,12,14],[3,5,7,8,9,11,13]]; G[1303]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1304: autom. group order 2, simple B[1304]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,9,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,12,13],[2,5,6,8,10,11,14],[2,5,7,9,10,11,13],[3,4,5,6,10,11,13],[3,4,6,7,9,11,14],[3,4,6,9,10,12,14],[3,4,7,8,10,12,13],[3,5,6,8,11,12,13],[3,5,7,8,9,11,14]]; G[1304]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1305: autom. group order 2, simple B[1305]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,14],[2,4,6,8,9,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,13],[2,5,6,8,10,12,13],[2,5,7,9,10,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,12,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,14],[3,5,6,8,11,12,14],[3,5,7,8,9,11,13]]; G[1305]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1306: autom. group order 2, simple B[1306]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,13],[2,4,6,8,9,12,13],[2,4,7,8,10,11,12],[2,5,6,7,9,12,14],[2,5,6,8,11,13,14],[2,5,7,9,10,11,14],[3,4,5,6,10,11,13],[3,4,6,7,9,11,14],[3,4,6,9,10,12,14],[3,4,7,8,12,13,14],[3,5,6,8,10,11,12],[3,5,7,8,9,11,13]]; G[1306]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 1307: autom. group order 2, simple B[1307]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,13],[2,4,6,8,9,12,13],[2,4,7,8,10,11,12],[2,5,6,7,9,11,14],[2,5,6,8,12,13,14],[2,5,7,9,10,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,12,14],[3,4,6,9,10,11,14],[3,4,7,8,11,13,14],[3,5,6,8,10,11,12],[3,5,7,8,9,11,13]]; G[1307]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 1308: autom. group order 2, simple B[1308]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,13],[2,4,6,8,9,12,13],[2,4,7,8,12,13,14],[2,5,6,7,9,11,14],[2,5,6,8,10,11,12],[2,5,7,9,10,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,12,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,12],[3,5,6,8,11,13,14],[3,5,7,8,9,11,13]]; G[1308]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 1309: autom. group order 2, simple B[1309]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,13],[2,4,6,8,9,12,13],[2,4,7,8,11,13,14],[2,5,6,7,9,12,14],[2,5,6,8,10,11,12],[2,5,7,9,10,11,14],[3,4,5,6,10,11,13],[3,4,6,7,9,11,14],[3,4,6,9,10,12,14],[3,4,7,8,10,11,12],[3,5,6,8,12,13,14],[3,5,7,8,9,11,13]]; G[1309]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 1310: autom. group order 2, simple B[1310]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,11,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,7,10,12,13],[2,4,6,8,9,11,12],[2,4,7,8,10,12,14],[2,5,6,7,9,11,14],[2,5,6,8,12,13,14],[2,5,7,9,10,11,13],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,6,9,10,12,13],[3,4,7,8,11,13,14],[3,5,6,8,10,11,14],[3,5,7,8,9,11,12]]; G[1310]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 1311: autom. group order 2, simple B[1311]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,12,14],[1,5,6,9,10,11,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,7,10,11,13],[2,4,6,8,9,11,12],[2,4,7,8,10,12,14],[2,5,6,7,9,12,14],[2,5,6,8,12,13,14],[2,5,7,9,10,11,13],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,9,10,12,13],[3,4,7,8,11,13,14],[3,5,6,8,10,11,14],[3,5,7,8,9,11,12]]; G[1311]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 1312: autom. group order 2, simple B[1312]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,11,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,7,10,12,13],[2,4,6,8,9,11,12],[2,4,7,8,12,13,14],[2,5,6,7,9,11,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,6,9,10,12,13],[3,4,7,8,10,11,14],[3,5,6,8,11,13,14],[3,5,7,8,9,11,12]]; G[1312]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 1313: autom. group order 2, simple B[1313]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,12,14],[1,5,6,9,10,11,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,8,9,10,13,14],[2,4,5,7,10,11,13],[2,4,6,8,9,11,12],[2,4,7,8,12,13,14],[2,5,6,7,9,12,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,9,10,12,13],[3,4,7,8,10,11,14],[3,5,6,8,11,13,14],[3,5,7,8,9,11,12]]; G[1313]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 1314: autom. group order 2, simple B[1314]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,11,12,14],[2,4,7,8,9,12,13],[2,5,6,7,9,11,13],[2,5,6,8,10,12,13],[2,5,7,9,10,11,14],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,6,9,10,12,13],[3,4,7,8,10,11,14],[3,5,6,8,9,11,14],[3,5,7,8,11,12,13]]; G[1314]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1315: autom. group order 2, simple B[1315]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,11,12,14],[2,4,7,8,9,12,13],[2,5,6,7,9,11,13],[2,5,6,8,10,12,13],[2,5,7,9,10,11,14],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,6,9,10,12,13],[3,4,7,8,10,11,14],[3,5,6,8,9,11,14],[3,5,7,8,11,12,13]]; G[1315]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1316: autom. group order 2, simple B[1316]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,13],[2,4,6,8,12,13,14],[2,4,7,8,9,12,13],[2,5,6,7,9,11,14],[2,5,6,8,10,11,12],[2,5,7,9,10,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,12,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,12],[3,5,6,8,9,11,13],[3,5,7,8,11,13,14]]; G[1316]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 1317: autom. group order 2, simple B[1317]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,13],[2,4,6,8,12,13,14],[2,4,7,8,9,11,13],[2,5,6,7,9,12,14],[2,5,6,8,10,11,12],[2,5,7,9,10,11,14],[3,4,5,6,10,11,13],[3,4,6,7,9,11,14],[3,4,6,9,10,12,14],[3,4,7,8,10,11,12],[3,5,6,8,9,12,13],[3,5,7,8,11,13,14]]; G[1317]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 1318: autom. group order 2, simple B[1318]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,11,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,11,13],[2,5,6,8,9,12,13],[2,5,7,9,10,11,14],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,6,9,10,12,13],[3,4,7,8,9,11,14],[3,5,6,8,10,11,14],[3,5,7,8,11,12,13]]; G[1318]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1319: autom. group order 2, simple B[1319]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,11,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,11,13],[2,5,6,8,9,12,13],[2,5,7,9,10,11,14],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,6,9,10,12,13],[3,4,7,8,9,11,14],[3,5,6,8,10,11,14],[3,5,7,8,11,12,13]]; G[1319]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1320: autom. group order 2, simple B[1320]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,13],[2,4,6,8,12,13,14],[2,4,7,8,10,11,12],[2,5,6,7,9,12,14],[2,5,6,8,9,11,13],[2,5,7,9,10,11,14],[3,4,5,6,10,11,13],[3,4,6,7,9,11,14],[3,4,6,9,10,12,14],[3,4,7,8,9,12,13],[3,5,6,8,10,11,12],[3,5,7,8,11,13,14]]; G[1320]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 1321: autom. group order 2, simple B[1321]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,11,12,13],[1,2,3,10,11,12,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,9,10,14],[1,4,5,8,11,12,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,13],[2,4,6,8,12,13,14],[2,4,7,8,10,11,12],[2,5,6,7,9,11,14],[2,5,6,8,9,12,13],[2,5,7,9,10,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,12,14],[3,4,6,9,10,11,14],[3,4,7,8,9,11,13],[3,5,6,8,10,11,12],[3,5,7,8,11,13,14]]; G[1321]:=Group([(2,3)(4,5)(6,7)(11,12)]); # Design 1322: autom. group order 2, simple B[1322]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,7,9,11,14],[2,4,6,8,9,12,13],[2,4,7,8,10,12,14],[2,5,6,7,10,11,13],[2,5,6,8,11,12,14],[2,5,7,9,10,12,13],[3,4,5,6,9,12,13],[3,4,6,7,10,12,14],[3,4,6,9,10,11,14],[3,4,7,8,11,12,13],[3,5,6,8,10,11,13],[3,5,7,8,9,11,14]]; G[1322]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1323: autom. group order 2, simple B[1323]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,7,9,12,14],[2,4,6,8,9,12,14],[2,4,7,8,10,11,13],[2,5,6,7,10,12,13],[2,5,6,8,11,12,13],[2,5,7,9,10,11,14],[3,4,5,6,9,11,13],[3,4,6,7,10,11,14],[3,4,6,9,10,12,13],[3,4,7,8,11,12,14],[3,5,6,8,10,12,14],[3,5,7,8,9,11,13]]; G[1323]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1324: autom. group order 2, simple B[1324]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,7,9,12,14],[2,4,6,8,9,12,13],[2,4,7,8,11,12,14],[2,5,6,7,10,12,13],[2,5,6,8,10,11,14],[2,5,7,9,10,11,13],[3,4,5,6,9,11,13],[3,4,6,7,10,11,14],[3,4,6,9,10,12,14],[3,4,7,8,10,12,13],[3,5,6,8,11,12,13],[3,5,7,8,9,11,14]]; G[1324]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1325: autom. group order 2, simple B[1325]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,7,9,11,14],[2,4,6,8,9,12,14],[2,4,7,8,11,12,13],[2,5,6,7,10,11,13],[2,5,6,8,10,12,13],[2,5,7,9,10,12,14],[3,4,5,6,9,12,13],[3,4,6,7,10,12,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,14],[3,5,6,8,11,12,14],[3,5,7,8,9,11,13]]; G[1325]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1326: autom. group order 2, simple B[1326]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,7,9,12,14],[2,4,6,8,11,12,14],[2,4,7,8,9,12,13],[2,5,6,7,10,11,13],[2,5,6,8,10,12,13],[2,5,7,9,10,11,14],[3,4,5,6,9,11,13],[3,4,6,7,10,12,14],[3,4,6,9,10,12,13],[3,4,7,8,10,11,14],[3,5,6,8,9,11,14],[3,5,7,8,11,12,13]]; G[1326]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1327: autom. group order 2, simple B[1327]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,12],[1,4,5,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,8,9,10,13,14],[2,4,5,7,9,12,14],[2,4,6,8,11,12,14],[2,4,7,8,10,12,13],[2,5,6,7,10,11,13],[2,5,6,8,9,12,13],[2,5,7,9,10,11,14],[3,4,5,6,9,11,13],[3,4,6,7,10,12,14],[3,4,6,9,10,12,13],[3,4,7,8,9,11,14],[3,5,6,8,10,11,14],[3,5,7,8,11,12,13]]; G[1327]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 1328: autom. group order 2, simple, residual B[1328]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,10,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,8,12,13,14],[1,4,5,7,9,10,13],[1,4,5,10,11,12,14],[1,4,7,8,9,11,14],[1,5,6,7,9,12,14],[1,6,7,8,10,12,13],[1,6,8,9,10,11,13],[2,3,7,9,10,13,14],[2,4,5,8,10,11,13],[2,4,6,9,10,12,14],[2,4,7,8,10,12,14],[2,5,6,7,8,11,12],[2,5,6,8,9,13,14],[2,5,7,9,11,12,13],[3,4,5,6,10,12,13],[3,4,6,7,8,13,14],[3,4,6,8,9,11,12],[3,4,7,9,11,12,13],[3,5,6,9,10,11,14],[3,5,7,8,10,11,14]]; G[1328]:=Group([(2,3)(4,5)(6,8)(7,9)(11,12)]); # Design 1329: autom. group order 2, simple, residual B[1329]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,10,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,8,12,13,14],[1,4,5,7,9,10,13],[1,4,5,10,11,12,14],[1,4,7,8,9,11,14],[1,5,6,7,9,12,14],[1,6,7,8,10,12,13],[1,6,8,9,10,11,13],[2,3,7,9,10,13,14],[2,4,5,8,10,11,13],[2,4,6,9,10,12,14],[2,4,7,8,10,12,14],[2,5,6,7,8,13,14],[2,5,6,8,9,11,12],[2,5,7,9,11,12,13],[3,4,5,6,10,12,13],[3,4,6,7,8,11,12],[3,4,6,8,9,13,14],[3,4,7,9,11,12,13],[3,5,6,9,10,11,14],[3,5,7,8,10,11,14]]; G[1329]:=Group([(2,3)(4,5)(6,8)(7,9)(11,12)]); # Design 1330: autom. group order 2, simple, residual B[1330]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,10,12],[1,2,3,11,12,13,14],[1,2,4,6,12,13,14],[1,3,5,8,11,13,14],[1,4,5,7,9,10,13],[1,4,5,10,11,12,14],[1,4,7,8,9,11,14],[1,5,6,7,9,12,14],[1,6,7,8,10,11,13],[1,6,8,9,10,12,13],[2,3,7,9,10,13,14],[2,4,5,8,10,11,13],[2,4,6,9,10,11,14],[2,4,7,8,10,12,14],[2,5,6,7,8,11,12],[2,5,6,8,9,13,14],[2,5,7,9,11,12,13],[3,4,5,6,10,12,13],[3,4,6,7,8,13,14],[3,4,6,8,9,11,12],[3,4,7,9,11,12,13],[3,5,6,9,10,11,14],[3,5,7,8,10,12,14]]; G[1330]:=Group([(2,3)(4,5)(6,8)(7,9)(11,12)]); # Design 1331: autom. group order 2, simple, residual B[1331]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,10,12],[1,2,3,11,12,13,14],[1,2,4,6,12,13,14],[1,3,5,8,11,13,14],[1,4,5,7,9,10,13],[1,4,5,10,11,12,14],[1,4,7,8,9,11,14],[1,5,6,7,9,12,14],[1,6,7,8,10,11,13],[1,6,8,9,10,12,13],[2,3,7,9,10,13,14],[2,4,5,8,10,11,13],[2,4,6,9,10,11,14],[2,4,7,8,10,12,14],[2,5,6,7,8,13,14],[2,5,6,8,9,11,12],[2,5,7,9,11,12,13],[3,4,5,6,10,12,13],[3,4,6,7,8,11,12],[3,4,6,8,9,13,14],[3,4,7,9,11,12,13],[3,5,6,9,10,11,14],[3,5,7,8,10,12,14]]; G[1331]:=Group([(2,3)(4,5)(6,8)(7,9)(11,12)]); # Design 1332: autom. group order 2, simple, residual B[1332]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,6,9,12,13],[1,3,5,9,11,12,14],[1,4,5,7,10,12,13],[1,4,5,9,10,11,14],[1,4,7,8,11,12,13],[1,5,6,7,8,10,14],[1,6,7,8,9,11,13],[1,6,8,9,10,12,14],[2,3,7,8,9,10,12],[2,4,5,8,10,11,12],[2,4,6,7,10,11,14],[2,4,8,9,10,13,14],[2,5,6,7,8,9,11],[2,5,6,11,12,13,14],[2,5,7,9,12,13,14],[3,4,5,6,8,13,14],[3,4,6,7,9,12,14],[3,4,6,9,10,11,13],[3,4,7,8,11,12,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13]]; G[1332]:=Group([(1,13)(3,14)(4,12)(6,9)(8,11)]); # Design 1333: autom. group order 2, simple B[1333]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,6,9,12,13],[1,3,5,9,11,12,14],[1,4,5,7,10,12,13],[1,4,5,9,10,11,14],[1,4,7,8,11,12,13],[1,5,6,7,8,10,14],[1,6,7,8,9,12,14],[1,6,8,9,10,11,13],[2,3,7,8,9,10,12],[2,4,5,8,10,11,12],[2,4,6,7,10,11,14],[2,4,8,9,10,13,14],[2,5,6,7,8,9,11],[2,5,6,11,12,13,14],[2,5,7,9,12,13,14],[3,4,5,6,8,13,14],[3,4,6,7,9,11,13],[3,4,6,9,10,12,14],[3,4,7,8,11,12,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13]]; G[1333]:=Group([(1,13)(3,14)(4,12)(6,9)(8,11)]); # Design 1334: autom. group order 2, simple B[1334]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,12,13,14],[1,3,5,9,10,12,14],[1,4,5,7,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,11,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,10,13],[1,6,7,8,9,12,14],[2,3,7,8,11,12,14],[2,4,5,7,9,10,12],[2,4,6,9,10,11,14],[2,4,8,10,12,13,14],[2,5,6,7,8,11,12],[2,5,6,7,9,13,14],[2,5,8,9,10,11,13],[3,4,5,6,8,13,14],[3,4,6,7,10,11,13],[3,4,6,8,9,10,12],[3,4,7,8,9,11,14],[3,5,6,9,11,12,13],[3,5,7,10,12,13,14]]; G[1334]:=Group([(2,3)(4,5)(6,9)(7,8)(10,13)(12,14)]); # Design 1335: autom. group order 2, simple B[1335]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,12,13,14],[1,3,5,9,10,12,14],[1,4,5,7,11,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,11,12],[1,5,6,8,11,13,14],[1,6,7,8,9,10,13],[1,6,7,8,9,12,14],[2,3,7,8,11,12,14],[2,4,5,7,9,12,13],[2,4,6,9,10,11,14],[2,4,8,10,12,13,14],[2,5,6,7,8,11,12],[2,5,6,7,9,10,14],[2,5,8,9,10,11,13],[3,4,5,6,8,10,14],[3,4,6,7,10,11,13],[3,4,6,8,9,12,13],[3,4,7,8,9,11,14],[3,5,6,9,11,12,13],[3,5,7,10,12,13,14]]; G[1335]:=Group([(2,3)(4,5)(6,9)(7,8)(10,13)(12,14)]); # Design 1336: autom. group order 2, simple B[1336]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,12,13,14],[1,3,5,9,10,12,14],[1,4,5,7,10,11,14],[1,4,5,8,11,12,13],[1,4,7,9,10,11,12],[1,5,6,8,11,13,14],[1,6,7,8,9,10,13],[1,6,7,8,9,12,14],[2,3,7,8,11,12,14],[2,4,5,7,9,12,13],[2,4,6,9,10,11,14],[2,4,8,10,12,13,14],[2,5,6,7,10,11,13],[2,5,6,8,9,10,12],[2,5,7,8,9,11,14],[3,4,5,6,8,10,14],[3,4,6,7,8,11,12],[3,4,6,7,9,13,14],[3,4,8,9,10,11,13],[3,5,6,9,11,12,13],[3,5,7,10,12,13,14]]; G[1336]:=Group([(2,3)(4,5)(6,9)(7,8)(10,13)(12,14)]); # Design 1337: autom. group order 2, simple B[1337]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,12,13,14],[1,3,5,9,10,12,14],[1,4,5,7,11,13,14],[1,4,5,8,10,11,12],[1,4,7,9,11,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,10,13],[1,6,7,8,9,12,14],[2,3,7,8,11,12,14],[2,4,5,7,9,10,12],[2,4,6,9,10,11,14],[2,4,8,10,12,13,14],[2,5,6,7,10,11,13],[2,5,6,8,9,12,13],[2,5,7,8,9,11,14],[3,4,5,6,8,13,14],[3,4,6,7,8,11,12],[3,4,6,7,9,10,14],[3,4,8,9,10,11,13],[3,5,6,9,11,12,13],[3,5,7,10,12,13,14]]; G[1337]:=Group([(2,3)(4,5)(6,9)(7,8)(10,13)(12,14)]); # Design 1338: autom. group order 2, simple B[1338]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,12,13,14],[1,3,5,9,10,12,14],[1,4,5,7,11,13,14],[1,4,5,8,10,11,12],[1,4,7,9,10,11,12],[1,5,6,8,11,13,14],[1,6,7,8,9,10,13],[1,6,7,8,9,12,14],[2,3,7,8,11,12,14],[2,4,5,8,9,12,13],[2,4,6,8,9,10,14],[2,4,7,10,12,13,14],[2,5,6,7,8,11,12],[2,5,6,9,10,11,14],[2,5,7,9,10,11,13],[3,4,5,6,7,10,14],[3,4,6,8,10,11,13],[3,4,6,9,11,12,13],[3,4,7,8,9,11,14],[3,5,6,7,9,12,13],[3,5,8,10,12,13,14]]; G[1338]:=Group([(2,3)(4,5)(6,9)(7,8)(10,13)(12,14)]); # Design 1339: autom. group order 2, simple B[1339]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,6,9,12,13],[1,3,5,9,11,12,14],[1,4,5,7,10,12,13],[1,4,5,9,10,11,14],[1,4,8,10,11,12,13],[1,5,6,7,8,10,14],[1,6,7,8,9,11,13],[1,6,7,8,9,12,14],[2,3,7,8,9,10,12],[2,4,5,7,8,11,12],[2,4,6,7,10,11,14],[2,4,8,9,10,13,14],[2,5,6,8,9,10,11],[2,5,6,11,12,13,14],[2,5,7,9,12,13,14],[3,4,5,6,8,13,14],[3,4,6,7,9,11,13],[3,4,6,9,10,12,14],[3,4,7,8,11,12,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13]]; G[1339]:=Group([(1,13)(3,14)(4,12)(6,9)(8,11)]); # Design 1340: autom. group order 2, simple B[1340]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,12,13,14],[1,3,5,9,10,12,14],[1,4,5,7,11,13,14],[1,4,5,8,10,11,12],[1,4,8,9,11,12,13],[1,5,6,7,10,11,14],[1,6,7,8,9,10,13],[1,6,7,8,9,12,14],[2,3,7,8,11,12,14],[2,4,5,7,9,10,12],[2,4,6,8,9,10,14],[2,4,7,10,12,13,14],[2,5,6,8,10,11,13],[2,5,6,9,11,12,13],[2,5,7,8,9,11,14],[3,4,5,6,8,13,14],[3,4,6,7,8,11,12],[3,4,6,9,10,11,14],[3,4,7,9,10,11,13],[3,5,6,7,9,12,13],[3,5,8,10,12,13,14]]; G[1340]:=Group([(2,3)(4,5)(6,9)(7,8)(10,13)(12,14)]); # Design 1341: autom. group order 2, simple, residual B[1341]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,7,9,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,7,12,13,14],[1,3,5,8,10,13,14],[1,4,5,9,11,13,14],[1,4,6,7,9,10,13],[1,4,6,8,10,11,14],[1,5,6,9,10,12,13],[1,5,7,8,9,11,12],[1,6,7,8,11,12,14],[2,3,6,9,11,13,14],[2,4,5,8,9,12,14],[2,4,5,10,11,12,13],[2,4,7,8,9,10,14],[2,5,6,7,11,13,14],[2,5,6,8,9,10,11],[2,6,7,8,10,12,13],[3,4,5,7,10,11,12],[3,4,6,8,11,12,13],[3,4,6,9,10,12,14],[3,4,7,8,9,11,13],[3,5,6,7,9,12,14],[3,5,7,8,10,13,14]]; G[1341]:=Group([(1,8)(2,13)(4,10)(6,14)]); # Design 1342: autom. group order 2, simple, residual B[1342]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,7,9,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,7,12,13,14],[1,3,5,8,10,13,14],[1,4,5,9,12,13,14],[1,4,6,7,9,10,13],[1,4,6,8,10,11,14],[1,5,6,9,10,11,13],[1,5,7,8,9,11,12],[1,6,7,8,11,12,14],[2,3,6,9,11,13,14],[2,4,5,8,9,11,14],[2,4,5,10,11,12,13],[2,4,7,8,9,10,14],[2,5,6,7,11,13,14],[2,5,6,8,9,10,12],[2,6,7,8,10,12,13],[3,4,5,7,10,11,12],[3,4,6,8,11,12,13],[3,4,6,9,10,12,14],[3,4,7,8,9,11,13],[3,5,6,7,9,12,14],[3,5,7,8,10,13,14]]; G[1342]:=Group([(1,8)(2,13)(4,10)(6,14)]); # Design 1343: autom. group order 2, simple, residual B[1343]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,7,9,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,7,10,13,14],[1,3,5,8,11,13,14],[1,4,5,11,12,13,14],[1,4,6,7,9,11,12],[1,4,7,8,10,12,13],[1,5,6,8,9,10,14],[1,5,6,9,10,12,13],[1,6,7,8,9,11,14],[2,3,6,9,12,13,14],[2,4,5,8,9,11,12],[2,4,5,9,10,11,14],[2,4,6,8,10,12,14],[2,5,6,7,11,12,13],[2,5,7,8,9,10,13],[2,6,7,8,11,13,14],[3,4,5,7,9,13,14],[3,4,6,8,10,11,13],[3,4,6,9,10,11,13],[3,4,7,8,9,12,14],[3,5,6,7,10,12,14],[3,5,7,8,10,11,12]]; G[1343]:=Group([(1,11)(2,10)(5,13)(7,9)]); # Design 1344: autom. group order 2, simple, residual B[1344]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,7,9,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,7,10,13,14],[1,3,5,8,11,13,14],[1,4,5,9,10,13,14],[1,4,6,8,9,11,14],[1,4,7,8,9,11,12],[1,5,6,7,9,12,13],[1,5,6,10,11,12,13],[1,6,7,8,10,12,14],[2,3,6,9,12,13,14],[2,4,5,7,11,12,13],[2,4,5,8,10,12,14],[2,4,6,9,11,13,14],[2,5,6,8,9,10,11],[2,5,7,8,9,12,14],[2,6,7,8,10,11,13],[3,4,5,9,10,11,12],[3,4,6,7,11,12,14],[3,4,6,8,10,12,13],[3,4,7,8,9,10,13],[3,5,6,7,9,10,14],[3,5,7,8,11,13,14]]; G[1344]:=Group([(1,8)(2,13)(4,11)(6,14)]); # Design 1345: autom. group order 2, simple, residual B[1345]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,7,9,10,11],[1,2,3,8,9,12,13],[1,2,3,10,12,13,14],[1,2,4,7,11,12,14],[1,3,5,8,10,11,14],[1,4,5,9,10,13,14],[1,4,6,8,9,11,14],[1,4,7,8,10,12,13],[1,5,6,7,11,12,13],[1,5,6,9,11,12,13],[1,6,7,8,9,10,14],[2,3,6,9,11,13,14],[2,4,5,7,9,13,14],[2,4,5,8,10,11,13],[2,4,6,10,11,12,14],[2,5,6,8,9,10,12],[2,5,7,8,9,12,14],[2,6,7,8,10,11,13],[3,4,5,9,10,11,12],[3,4,6,7,9,10,12],[3,4,6,8,12,13,14],[3,4,7,8,9,11,13],[3,5,6,7,10,13,14],[3,5,7,8,11,12,14]]; G[1345]:=Group([(2,12)(3,13)(4,11)(8,9)]); # Design 1346: autom. group order 2, simple, residual B[1346]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,7,9,10,11],[1,2,3,8,9,12,13],[1,2,3,10,11,12,14],[1,2,4,7,10,13,14],[1,3,5,8,11,13,14],[1,4,5,10,12,13,14],[1,4,6,8,9,11,14],[1,4,7,8,9,11,12],[1,5,6,7,9,12,13],[1,5,6,9,10,11,13],[1,6,7,8,10,12,14],[2,3,6,9,12,13,14],[2,4,5,7,11,12,13],[2,4,5,8,9,10,14],[2,4,6,9,11,13,14],[2,5,6,8,10,11,12],[2,5,7,8,9,12,14],[2,6,7,8,10,11,13],[3,4,5,9,10,11,12],[3,4,6,7,11,12,14],[3,4,6,8,10,12,13],[3,4,7,8,9,10,13],[3,5,6,7,9,10,14],[3,5,7,8,11,13,14]]; G[1346]:=Group([(1,8)(2,13)(4,11)(6,14)]); # Design 1347: autom. group order 2, simple, residual B[1347]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,11,13,14],[1,3,5,8,12,13,14],[1,4,5,6,10,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,12,14],[1,5,7,8,9,11,13],[1,5,7,9,10,11,13],[1,6,7,8,11,12,14],[2,3,7,9,10,13,14],[2,4,5,7,9,12,14],[2,4,5,10,11,12,13],[2,4,7,8,11,12,13],[2,5,6,7,8,10,12],[2,5,6,8,9,11,14],[2,6,8,9,10,13,14],[3,4,5,8,10,11,14],[3,4,6,7,8,9,13],[3,4,6,9,11,12,13],[3,4,7,8,10,11,14],[3,5,6,7,12,13,14],[3,5,6,9,10,11,12]]; G[1347]:=Group([(1,14)(3,9)(4,13)(5,10)(7,8)]); # Design 1348: autom. group order 2, simple B[1348]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,11,13,14],[1,3,5,8,12,13,14],[1,4,5,6,10,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,12,14],[1,5,7,8,9,11,13],[1,5,7,8,10,11,14],[1,6,7,9,11,12,13],[2,3,7,9,10,13,14],[2,4,5,7,9,12,14],[2,4,5,10,11,12,13],[2,4,7,8,11,12,13],[2,5,6,7,8,10,12],[2,5,6,8,9,11,14],[2,6,8,9,10,13,14],[3,4,5,9,10,11,13],[3,4,6,7,8,9,13],[3,4,6,8,11,12,14],[3,4,7,8,10,11,14],[3,5,6,7,12,13,14],[3,5,6,9,10,11,12]]; G[1348]:=Group([(1,14)(3,9)(4,13)(5,10)(7,8)]); # Design 1349: autom. group order 2, simple B[1349]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,10,13,14],[1,3,5,8,11,13,14],[1,4,5,6,12,13,14],[1,4,6,8,9,11,12],[1,4,7,9,10,12,14],[1,5,7,8,9,10,14],[1,5,7,9,10,11,13],[1,6,7,8,11,12,13],[2,3,7,9,12,13,14],[2,4,5,7,8,11,14],[2,4,5,9,11,12,13],[2,4,7,8,10,11,12],[2,5,6,8,10,12,14],[2,5,6,9,10,11,13],[2,6,7,8,9,13,14],[3,4,5,7,10,12,13],[3,4,6,7,8,9,13],[3,4,6,9,10,11,14],[3,4,8,10,11,13,14],[3,5,6,7,11,12,14],[3,5,6,8,9,10,12]]; G[1349]:=Group([(1,11)(2,14)(5,10)(6,8)(7,13)]); # Design 1350: autom. group order 2, simple, residual B[1350]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,10,13,14],[1,3,5,8,11,13,14],[1,4,5,6,12,13,14],[1,4,6,8,9,11,12],[1,4,7,9,10,12,14],[1,5,7,8,9,10,14],[1,5,7,10,11,12,13],[1,6,7,8,9,11,13],[2,3,7,9,12,13,14],[2,4,5,7,8,11,14],[2,4,5,9,11,12,13],[2,4,7,8,10,11,12],[2,5,6,8,10,12,14],[2,5,6,9,10,11,13],[2,6,7,8,9,13,14],[3,4,5,7,9,10,13],[3,4,6,7,8,12,13],[3,4,6,9,10,11,14],[3,4,8,10,11,13,14],[3,5,6,7,11,12,14],[3,5,6,8,9,10,12]]; G[1350]:=Group([(1,11)(2,14)(5,10)(6,8)(7,13)]); # Design 1351: autom. group order 2, simple, residual B[1351]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,11,12,14],[1,2,4,6,12,13,14],[1,3,5,7,10,13,14],[1,4,5,6,11,13,14],[1,4,6,8,9,11,12],[1,4,7,9,10,11,13],[1,5,7,8,9,12,14],[1,5,8,10,11,12,13],[1,6,7,8,9,10,14],[2,3,8,9,11,13,14],[2,4,5,7,8,11,14],[2,4,5,9,10,12,13],[2,4,7,8,10,12,14],[2,5,6,7,10,11,12],[2,5,6,8,9,10,13],[2,6,7,9,11,13,14],[3,4,5,9,10,11,14],[3,4,6,7,8,10,13],[3,4,6,9,10,12,14],[3,4,7,8,11,12,13],[3,5,6,7,9,11,12],[3,5,6,8,12,13,14]]; G[1351]:=Group([(1,13)(3,9)(4,14)(5,11)]); # Design 1352: autom. group order 2, simple B[1352]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,9,11,13],[1,2,4,6,11,12,14],[1,3,5,8,10,12,14],[1,4,5,6,7,13,14],[1,4,6,8,9,10,13],[1,4,9,11,12,13,14],[1,5,7,8,9,11,14],[1,5,7,9,10,11,12],[1,6,7,8,10,12,13],[2,3,7,9,12,13,14],[2,4,5,8,10,12,14],[2,4,5,9,10,12,13],[2,4,7,8,10,11,13],[2,5,6,7,9,10,11],[2,5,6,8,11,13,14],[2,6,7,8,9,12,14],[3,4,5,7,11,12,13],[3,4,6,7,8,9,12],[3,4,6,9,10,11,14],[3,4,7,8,10,11,14],[3,5,6,8,11,12,13],[3,5,6,9,10,13,14]]; G[1352]:=Group([(1,10)(2,14)(5,11)(6,8)]); # Design 1353: autom. group order 2, simple, residual B[1353]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,9,11,13],[1,2,4,6,11,12,14],[1,3,5,8,10,12,14],[1,4,5,6,7,13,14],[1,4,6,8,9,10,13],[1,4,9,11,12,13,14],[1,5,7,8,9,11,14],[1,5,7,10,11,12,13],[1,6,7,8,9,10,12],[2,3,7,9,12,13,14],[2,4,5,8,10,12,14],[2,4,5,9,10,12,13],[2,4,7,8,10,11,13],[2,5,6,7,9,10,11],[2,5,6,8,11,13,14],[2,6,7,8,9,12,14],[3,4,5,7,9,11,12],[3,4,6,7,8,12,13],[3,4,6,9,10,11,14],[3,4,7,8,10,11,14],[3,5,6,8,11,12,13],[3,5,6,9,10,13,14]]; G[1353]:=Group([(1,10)(2,14)(5,11)(6,8)]); # Design 1354: autom. group order 2, simple B[1354]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,6,9,11,14],[1,3,5,8,9,10,14],[1,4,5,6,12,13,14],[1,4,6,7,8,10,13],[1,4,7,9,11,13,14],[1,5,7,8,11,12,14],[1,5,7,9,10,11,12],[1,6,8,9,10,12,13],[2,3,7,9,12,13,14],[2,4,5,7,10,12,13],[2,4,5,8,10,12,14],[2,4,8,9,10,11,13],[2,5,6,7,9,10,11],[2,5,6,8,11,13,14],[2,6,7,8,9,12,14],[3,4,5,9,11,12,13],[3,4,6,7,8,9,12],[3,4,6,10,11,12,14],[3,4,7,8,10,11,14],[3,5,6,7,8,11,13],[3,5,6,9,10,13,14]]; G[1354]:=Group([(1,10)(2,14)(5,11)(6,8)(9,12)]); # Design 1355: autom. group order 2, simple B[1355]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,10,12,14],[1,3,5,8,11,12,14],[1,4,5,6,9,13,14],[1,4,6,7,8,11,13],[1,4,7,10,12,13,14],[1,5,7,8,9,10,14],[1,5,7,9,10,11,12],[1,6,8,9,11,12,13],[2,3,7,9,12,13,14],[2,4,5,7,11,12,13],[2,4,5,8,11,12,14],[2,4,8,9,10,11,13],[2,5,6,7,9,10,11],[2,5,6,8,10,13,14],[2,6,7,8,9,12,14],[3,4,5,9,10,12,13],[3,4,6,7,8,9,12],[3,4,6,9,10,11,14],[3,4,7,8,10,11,14],[3,5,6,7,11,13,14],[3,5,6,8,10,12,13]]; G[1355]:=Group([(1,11)(2,14)(5,10)(6,8)]); # Design 1356: autom. group order 2, simple, residual B[1356]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,3,8,12,13,14],[1,2,4,6,9,10,14],[1,3,5,8,9,11,14],[1,4,5,6,12,13,14],[1,4,6,7,8,11,13],[1,4,7,9,11,12,14],[1,5,7,10,11,12,14],[1,5,8,9,10,12,13],[1,6,7,8,9,10,13],[2,3,7,9,12,13,14],[2,4,5,7,8,10,12],[2,4,5,10,11,13,14],[2,4,7,8,9,11,12],[2,5,6,7,9,13,14],[2,5,6,8,11,12,13],[2,6,8,9,10,11,14],[3,4,5,9,10,11,13],[3,4,6,8,10,12,14],[3,4,6,9,11,12,13],[3,4,7,8,10,13,14],[3,5,6,7,8,11,14],[3,5,6,7,9,10,12]]; G[1356]:=Group([(1,8)(2,14)(4,11)]); # Design 1357: autom. group order 2, simple, residual B[1357]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,6,9,11,14],[1,3,5,8,9,10,14],[1,4,5,6,12,13,14],[1,4,6,7,8,10,13],[1,4,7,9,11,13,14],[1,5,7,8,11,12,14],[1,5,9,10,11,12,13],[1,6,7,8,9,10,12],[2,3,7,9,12,13,14],[2,4,5,7,10,12,13],[2,4,5,8,10,12,14],[2,4,8,9,10,11,13],[2,5,6,7,9,10,11],[2,5,6,8,11,13,14],[2,6,7,8,9,12,14],[3,4,5,7,9,11,12],[3,4,6,8,9,12,13],[3,4,6,10,11,12,14],[3,4,7,8,10,11,14],[3,5,6,7,8,11,13],[3,5,6,9,10,13,14]]; G[1357]:=Group([(1,10)(2,14)(5,11)(6,8)(9,12)]); # Design 1358: autom. group order 2, simple, residual B[1358]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,10,12,14],[1,3,5,8,11,12,14],[1,4,5,6,9,13,14],[1,4,6,7,8,11,13],[1,4,7,10,12,13,14],[1,5,7,8,9,10,14],[1,5,9,10,11,12,13],[1,6,7,8,9,11,12],[2,3,7,9,12,13,14],[2,4,5,7,11,12,13],[2,4,5,8,11,12,14],[2,4,8,9,10,11,13],[2,5,6,7,9,10,11],[2,5,6,8,10,13,14],[2,6,7,8,9,12,14],[3,4,5,7,9,10,12],[3,4,6,8,9,12,13],[3,4,6,9,10,11,14],[3,4,7,8,10,11,14],[3,5,6,7,11,13,14],[3,5,6,8,10,12,13]]; G[1358]:=Group([(1,11)(2,14)(5,10)(6,8)]); # Design 1359: autom. group order 2, simple, residual B[1359]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,12,13,14],[1,3,5,8,11,13,14],[1,4,5,6,9,10,13],[1,4,7,9,10,11,14],[1,4,8,10,11,13,14],[1,5,6,7,11,12,14],[1,5,7,8,9,10,12],[1,6,7,8,9,12,13],[2,3,7,9,10,13,14],[2,4,5,7,8,10,14],[2,4,5,9,11,12,13],[2,4,6,8,10,11,12],[2,5,6,8,9,11,14],[2,5,7,10,11,12,13],[2,6,7,8,9,13,14],[3,4,5,7,12,13,14],[3,4,6,7,8,11,13],[3,4,6,9,10,12,14],[3,4,7,8,9,11,12],[3,5,6,8,10,12,14],[3,5,6,9,10,11,13]]; G[1359]:=Group([(2,14)(3,11)(5,10)(6,13)(7,8)]); # Design 1360: autom. group order 2, simple B[1360]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,8,13,14],[1,3,5,9,10,13,14],[1,4,5,6,11,12,14],[1,4,7,8,10,11,13],[1,4,9,10,11,13,14],[1,5,6,7,10,12,13],[1,5,7,8,9,11,12],[1,6,7,8,9,12,14],[2,3,7,11,12,13,14],[2,4,5,7,9,11,13],[2,4,5,8,10,12,14],[2,4,6,9,10,11,12],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[2,6,7,8,9,13,14],[3,4,5,7,12,13,14],[3,4,6,7,9,10,14],[3,4,6,8,11,12,13],[3,4,7,8,9,10,12],[3,5,6,8,9,11,13],[3,5,6,8,10,11,14]]; G[1360]:=Group([(2,13)(3,10)(5,11)(6,14)(7,9)]); # Design 1361: autom. group order 2, simple B[1361]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,12,13],[1,2,4,6,11,12,14],[1,3,5,7,10,11,14],[1,4,5,6,9,12,13],[1,4,7,8,9,13,14],[1,4,7,9,10,11,14],[1,5,6,8,9,10,14],[1,5,8,10,11,12,13],[1,6,7,8,11,12,13],[2,3,8,9,11,13,14],[2,4,5,7,10,11,13],[2,4,5,8,11,12,14],[2,4,6,7,8,10,13],[2,5,6,9,11,13,14],[2,5,7,8,9,10,12],[2,6,7,9,10,12,14],[3,4,5,10,12,13,14],[3,4,6,8,10,12,14],[3,4,6,9,10,11,13],[3,4,7,8,9,11,12],[3,5,6,7,8,13,14],[3,5,6,7,9,11,12]]; G[1361]:=Group([(2,12)(3,13)(4,11)(5,8)(9,10)]); # Design 1362: autom. group order 2, simple B[1362]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,12,13],[1,2,4,6,11,12,14],[1,3,5,7,10,11,14],[1,4,5,6,9,12,13],[1,4,7,8,9,13,14],[1,4,7,9,10,11,14],[1,5,6,8,9,10,14],[1,5,8,10,11,12,13],[1,6,7,8,11,12,13],[2,3,8,9,11,13,14],[2,4,5,7,10,11,13],[2,4,5,8,11,12,14],[2,4,6,8,10,13,14],[2,5,6,7,9,11,13],[2,5,7,8,9,10,12],[2,6,7,9,10,12,14],[3,4,5,10,12,13,14],[3,4,6,7,8,10,12],[3,4,6,9,10,11,13],[3,4,7,8,9,11,12],[3,5,6,7,8,13,14],[3,5,6,9,11,12,14]]; G[1362]:=Group([(2,12)(3,13)(4,11)(5,8)(9,10)]); # Design 1363: autom. group order 2, simple, residual B[1363]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,9,11,13],[1,2,4,6,12,13,14],[1,3,5,7,8,12,14],[1,4,5,6,9,10,11],[1,4,7,8,10,11,12],[1,4,8,9,10,13,14],[1,5,6,11,12,13,14],[1,5,7,9,11,13,14],[1,6,7,8,9,10,12],[2,3,9,10,11,12,14],[2,4,5,7,10,11,13],[2,4,5,9,10,12,14],[2,4,6,7,8,11,14],[2,5,6,8,9,12,13],[2,5,7,8,10,12,13],[2,6,7,8,9,11,14],[3,4,5,8,11,12,14],[3,4,6,7,9,12,13],[3,4,6,8,10,13,14],[3,4,7,9,11,12,13],[3,5,6,7,9,10,14],[3,5,6,8,10,11,13]]; G[1363]:=Group([(2,13)(3,14)(4,11)(6,9)(8,12)]); # Design 1364: autom. group order 2, simple, residual B[1364]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,12,13],[1,2,4,6,10,11,14],[1,3,5,7,11,12,14],[1,4,5,6,9,12,13],[1,4,7,8,9,10,14],[1,4,8,10,11,12,13],[1,5,6,8,9,13,14],[1,5,7,9,10,11,14],[1,6,7,8,11,12,13],[2,3,8,9,11,13,14],[2,4,5,7,8,11,13],[2,4,5,10,12,13,14],[2,4,6,7,9,11,12],[2,5,6,8,10,12,14],[2,5,7,9,10,11,13],[2,6,7,8,9,12,14],[3,4,5,8,11,12,14],[3,4,6,7,10,13,14],[3,4,6,9,11,13,14],[3,4,7,8,9,10,12],[3,5,6,7,8,10,13],[3,5,6,9,10,11,12]]; G[1364]:=Group([(2,13)(3,12)(4,8)(5,11)(9,10)]); # Design 1365: autom. group order 2, simple, residual B[1365]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,11,12,13,14],[1,2,4,6,9,13,14],[1,3,5,7,9,11,14],[1,4,5,6,10,12,14],[1,4,7,9,10,12,13],[1,4,8,9,10,11,14],[1,5,6,8,12,13,14],[1,5,7,8,10,11,12],[1,6,7,8,9,11,13],[2,3,8,9,10,12,14],[2,4,5,7,11,12,13],[2,4,5,8,9,11,12],[2,4,6,8,10,11,13],[2,5,6,7,8,10,14],[2,5,7,9,10,13,14],[2,6,7,9,11,12,14],[3,4,5,10,11,13,14],[3,4,6,7,8,11,14],[3,4,6,7,9,10,12],[3,4,7,8,12,13,14],[3,5,6,8,9,12,13],[3,5,6,9,10,11,13]]; G[1365]:=Group([(1,11)(3,12)(6,13)(8,9)(10,14)]); # Design 1366: autom. group order 2, simple, residual B[1366]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,11,12,13,14],[1,2,4,6,9,13,14],[1,3,5,7,9,11,14],[1,4,5,6,10,12,14],[1,4,7,8,12,13,14],[1,4,8,9,10,11,14],[1,5,6,9,10,12,13],[1,5,7,8,10,11,12],[1,6,7,8,9,11,13],[2,3,8,9,10,12,14],[2,4,5,7,11,12,13],[2,4,5,8,9,11,12],[2,4,6,8,10,11,13],[2,5,6,7,8,10,14],[2,5,7,9,10,13,14],[2,6,7,9,11,12,14],[3,4,5,10,11,13,14],[3,4,6,7,8,12,14],[3,4,6,7,9,10,11],[3,4,7,9,10,12,13],[3,5,6,8,9,12,13],[3,5,6,8,11,13,14]]; G[1366]:=Group([(1,11)(3,12)(6,13)(8,9)(10,14)]); # Design 1367: autom. group order 2, simple B[1367]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,3,9,10,11,13],[1,2,4,6,12,13,14],[1,3,5,7,10,12,14],[1,4,5,6,9,11,14],[1,4,7,8,11,12,13],[1,4,8,9,10,12,14],[1,5,6,8,11,13,14],[1,5,7,8,9,10,11],[1,6,7,9,10,12,13],[2,3,8,9,11,12,14],[2,4,5,7,10,11,13],[2,4,5,10,11,12,14],[2,4,6,8,9,10,13],[2,5,6,7,8,9,12],[2,5,7,9,12,13,14],[2,6,7,8,10,11,14],[3,4,5,8,10,12,13],[3,4,6,7,8,11,12],[3,4,6,7,9,10,14],[3,4,7,9,11,13,14],[3,5,6,8,10,13,14],[3,5,6,9,11,12,13]]; G[1367]:=Group([(1,10)(3,11)(6,13)(8,14)(9,12)]); # Design 1368: autom. group order 2, simple B[1368]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,9,13,14],[1,3,5,7,11,13,14],[1,4,5,6,10,12,13],[1,4,7,9,10,11,14],[1,4,8,10,11,13,14],[1,5,6,8,11,12,14],[1,5,7,8,9,10,12],[1,6,7,8,9,12,13],[2,3,8,10,12,13,14],[2,4,5,7,8,10,14],[2,4,5,8,11,12,13],[2,4,6,9,10,11,12],[2,5,6,7,11,12,14],[2,5,7,9,10,11,13],[2,6,7,8,9,13,14],[3,4,5,9,12,13,14],[3,4,6,7,8,11,13],[3,4,6,7,10,12,14],[3,4,7,8,9,11,12],[3,5,6,8,9,10,14],[3,5,6,9,10,11,13]]; G[1368]:=Group([(2,14)(3,11)(5,10)(6,13)(7,8)]); # Design 1369: autom. group order 2, simple, residual B[1369]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,12,13,14],[1,3,5,7,11,13,14],[1,4,5,6,9,10,13],[1,4,7,9,10,11,14],[1,4,8,10,11,13,14],[1,5,6,8,11,12,14],[1,5,7,8,9,10,12],[1,6,7,8,9,12,13],[2,3,8,9,10,13,14],[2,4,5,7,8,10,14],[2,4,5,8,11,12,13],[2,4,6,9,10,11,12],[2,5,6,7,9,11,14],[2,5,7,10,11,12,13],[2,6,7,8,9,13,14],[3,4,5,9,12,13,14],[3,4,6,7,8,11,13],[3,4,6,7,10,12,14],[3,4,7,8,9,11,12],[3,5,6,8,10,12,14],[3,5,6,9,10,11,13]]; G[1369]:=Group([(2,14)(3,11)(5,10)(6,13)(7,8)]); # Design 1370: autom. group order 2, simple B[1370]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,11,12,14],[1,2,4,6,12,13,14],[1,3,5,7,10,13,14],[1,4,5,6,9,11,14],[1,4,7,8,11,12,13],[1,4,8,9,10,13,14],[1,5,6,9,11,12,13],[1,5,7,8,9,10,11],[1,6,7,8,10,12,14],[2,3,8,9,11,13,14],[2,4,5,7,10,11,12],[2,4,5,10,11,13,14],[2,4,6,8,9,10,12],[2,5,6,7,8,13,14],[2,5,7,8,9,12,14],[2,6,7,9,10,11,13],[3,4,5,8,10,12,13],[3,4,6,7,8,11,13],[3,4,6,7,9,10,14],[3,4,7,9,11,12,14],[3,5,6,8,11,12,14],[3,5,6,9,10,12,13]]; G[1370]:=Group([(1,10)(3,11)(6,12)(8,14)(9,13)]); # Design 1371: autom. group order 2, simple, residual B[1371]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,12,13],[1,2,4,6,10,11,14],[1,3,5,7,11,12,14],[1,4,5,6,9,12,13],[1,4,7,8,9,10,14],[1,4,8,10,11,12,13],[1,5,6,8,9,13,14],[1,5,7,9,10,11,14],[1,6,7,8,11,12,13],[2,3,8,9,11,13,14],[2,4,5,7,8,11,13],[2,4,5,10,12,13,14],[2,4,6,9,11,12,14],[2,5,6,7,8,10,12],[2,5,7,9,10,11,13],[2,6,7,8,9,12,14],[3,4,5,8,11,12,14],[3,4,6,7,9,11,13],[3,4,6,7,10,13,14],[3,4,7,8,9,10,12],[3,5,6,8,10,13,14],[3,5,6,9,10,11,12]]; G[1371]:=Group([(2,13)(3,12)(4,8)(5,11)(9,10)]); # Design 1372: autom. group order 2, simple, residual B[1372]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,6,9,12,13],[1,3,5,8,9,10,12],[1,4,5,6,7,11,14],[1,4,7,8,9,13,14],[1,4,7,8,10,11,12],[1,5,6,11,12,13,14],[1,5,9,10,12,13,14],[1,6,7,8,9,10,11],[2,3,7,9,11,12,14],[2,4,5,7,10,12,13],[2,4,5,9,10,11,14],[2,4,6,8,10,12,14],[2,5,6,8,9,11,13],[2,5,7,8,10,11,13],[2,6,7,8,9,12,14],[3,4,5,8,11,12,14],[3,4,6,8,10,13,14],[3,4,6,9,10,11,13],[3,4,7,9,11,12,13],[3,5,6,7,8,12,13],[3,5,6,7,9,10,14]]; G[1372]:=Group([(2,13)(3,14)(4,12)(6,9)(7,10)(8,11)]); # Design 1373: autom. group order 2, simple, residual B[1373]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,6,9,12,13],[1,3,5,8,9,10,12],[1,4,5,6,7,11,14],[1,4,7,8,9,13,14],[1,4,7,8,10,11,12],[1,5,6,11,12,13,14],[1,5,9,10,12,13,14],[1,6,7,8,9,10,11],[2,3,7,9,11,12,14],[2,4,5,8,11,12,13],[2,4,5,9,10,11,14],[2,4,6,8,10,12,14],[2,5,6,7,9,10,13],[2,5,7,8,10,11,13],[2,6,7,8,9,12,14],[3,4,5,7,10,12,14],[3,4,6,8,10,13,14],[3,4,6,9,10,11,13],[3,4,7,9,11,12,13],[3,5,6,7,8,12,13],[3,5,6,8,9,11,14]]; G[1373]:=Group([(2,13)(3,14)(4,12)(6,9)(7,10)(8,11)]); # Design 1374: autom. group order 2, simple B[1374]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,12,13,14],[1,2,4,6,11,12,14],[1,3,5,9,10,11,14],[1,4,5,6,10,12,13],[1,4,7,8,10,13,14],[1,4,7,9,10,11,14],[1,5,6,7,8,9,14],[1,5,7,8,11,12,13],[1,6,8,9,11,12,13],[2,3,7,8,11,13,14],[2,4,5,7,10,11,13],[2,4,5,8,11,12,14],[2,4,6,8,9,10,13],[2,5,6,9,11,13,14],[2,5,7,8,9,10,12],[2,6,7,9,10,12,14],[3,4,5,9,12,13,14],[3,4,6,7,8,12,14],[3,4,6,7,9,11,13],[3,4,8,9,10,11,12],[3,5,6,7,10,11,12],[3,5,6,8,10,13,14]]; G[1374]:=Group([(2,12)(3,13)(4,11)(5,8)(7,9)]); # Design 1375: autom. group order 2, simple B[1375]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,12,13,14],[1,2,4,6,11,12,14],[1,3,5,9,10,11,14],[1,4,5,6,10,12,13],[1,4,7,8,10,13,14],[1,4,7,9,10,11,14],[1,5,6,7,8,9,14],[1,5,7,8,11,12,13],[1,6,8,9,11,12,13],[2,3,7,8,11,13,14],[2,4,5,7,10,11,13],[2,4,5,8,11,12,14],[2,4,6,8,9,13,14],[2,5,6,9,10,11,13],[2,5,7,8,9,10,12],[2,6,7,9,10,12,14],[3,4,5,9,12,13,14],[3,4,6,7,8,10,12],[3,4,6,7,9,11,13],[3,4,8,9,10,11,12],[3,5,6,7,11,12,14],[3,5,6,8,10,13,14]]; G[1375]:=Group([(2,12)(3,13)(4,11)(5,8)(7,9)]); # Design 1376: autom. group order 2, simple, residual B[1376]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,12,13,14],[1,2,4,6,9,11,14],[1,3,5,10,11,12,14],[1,4,5,6,10,12,13],[1,4,7,8,9,10,14],[1,4,7,8,11,12,13],[1,5,6,7,8,13,14],[1,5,7,9,10,11,14],[1,6,8,9,11,12,13],[2,3,7,8,11,13,14],[2,4,5,8,10,11,13],[2,4,5,9,12,13,14],[2,4,6,7,10,11,12],[2,5,6,7,8,12,14],[2,5,7,9,10,11,13],[2,6,8,9,10,12,14],[3,4,5,8,11,12,14],[3,4,6,7,10,13,14],[3,4,6,9,11,13,14],[3,4,7,8,9,10,12],[3,5,6,7,9,11,12],[3,5,6,8,9,10,13]]; G[1376]:=Group([(2,13)(3,12)(4,8)(5,11)(7,9)]); # Design 1377: autom. group order 2, simple, residual B[1377]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,12,13,14],[1,2,4,6,9,11,14],[1,3,5,10,11,12,14],[1,4,5,6,10,12,13],[1,4,7,8,9,10,14],[1,4,7,8,11,12,13],[1,5,6,7,8,13,14],[1,5,7,9,10,11,14],[1,6,8,9,11,12,13],[2,3,7,8,11,13,14],[2,4,5,8,10,11,13],[2,4,5,9,12,13,14],[2,4,6,7,11,12,14],[2,5,6,7,8,10,12],[2,5,7,9,10,11,13],[2,6,8,9,10,12,14],[3,4,5,8,11,12,14],[3,4,6,7,10,13,14],[3,4,6,9,10,11,13],[3,4,7,8,9,10,12],[3,5,6,7,9,11,12],[3,5,6,8,9,13,14]]; G[1377]:=Group([(2,13)(3,12)(4,8)(5,11)(7,9)]); # Design 1378: autom. group order 2, simple, residual B[1378]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,3,8,12,13,14],[1,2,4,6,9,10,14],[1,3,5,8,9,11,14],[1,4,5,6,12,13,14],[1,4,7,8,10,11,12],[1,4,8,9,11,12,13],[1,5,6,7,8,10,13],[1,5,7,9,10,12,14],[1,6,7,9,11,13,14],[2,3,7,9,12,13,14],[2,4,5,7,11,12,14],[2,4,5,10,11,13,14],[2,4,6,7,8,9,13],[2,5,6,8,11,12,13],[2,5,7,8,9,10,12],[2,6,8,9,10,11,14],[3,4,5,9,10,11,13],[3,4,6,7,9,11,12],[3,4,6,8,10,12,14],[3,4,7,8,10,13,14],[3,5,6,7,8,11,14],[3,5,6,9,10,12,13]]; G[1378]:=Group([(1,8)(2,14)(4,11)]); # Design 1379: autom. group order 2, simple, residual B[1379]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,9,11,13,14],[1,4,5,6,10,12,14],[1,4,7,8,10,13,14],[1,4,8,9,10,11,13],[1,5,6,7,9,10,13],[1,5,7,8,11,12,14],[1,6,7,8,9,11,12],[2,3,7,8,9,10,14],[2,4,5,7,11,13,14],[2,4,5,8,10,11,12],[2,4,6,7,9,11,13],[2,5,6,8,10,13,14],[2,5,7,9,10,11,12],[2,6,8,9,12,13,14],[3,4,5,8,9,12,13],[3,4,6,7,8,11,14],[3,4,6,10,11,12,13],[3,4,7,9,10,12,14],[3,5,6,7,8,12,13],[3,5,6,9,10,11,14]]; G[1379]:=Group([(1,13)(2,12)(4,8)]); # Design 1380: autom. group order 2, simple, residual B[1380]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,3,9,11,12,13],[1,2,4,6,7,13,14],[1,3,5,7,8,11,14],[1,4,5,6,9,10,12],[1,4,7,8,10,11,12],[1,4,7,9,10,13,14],[1,5,6,8,12,13,14],[1,5,9,11,12,13,14],[1,6,7,8,9,10,11],[2,3,7,9,10,12,14],[2,4,5,7,11,12,13],[2,4,5,9,10,11,14],[2,4,6,8,11,12,14],[2,5,6,8,9,10,13],[2,5,7,8,10,11,13],[2,6,7,8,9,12,14],[3,4,5,8,10,12,14],[3,4,6,8,9,11,13],[3,4,6,10,11,13,14],[3,4,7,8,9,12,13],[3,5,6,7,9,11,14],[3,5,6,7,10,12,13]]; G[1380]:=Group([(2,13)(3,14)(4,12)(6,9)(7,11)]); # Design 1381: autom. group order 2, simple B[1381]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,3,9,11,12,13],[1,2,4,6,7,13,14],[1,3,5,7,8,11,14],[1,4,5,6,9,10,12],[1,4,7,8,10,11,12],[1,4,7,9,10,13,14],[1,5,6,8,12,13,14],[1,5,9,11,12,13,14],[1,6,7,8,9,10,11],[2,3,7,9,10,12,14],[2,4,5,7,11,12,13],[2,4,5,9,10,11,14],[2,4,6,8,11,12,14],[2,5,6,8,9,10,13],[2,5,7,8,10,12,14],[2,6,7,8,9,11,13],[3,4,5,8,10,11,13],[3,4,6,8,9,12,14],[3,4,6,10,11,13,14],[3,4,7,8,9,12,13],[3,5,6,7,9,11,14],[3,5,6,7,10,12,13]]; G[1381]:=Group([(2,13)(3,14)(4,12)(6,9)(7,11)]); # Design 1382: autom. group order 2, simple, residual B[1382]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,3,9,11,12,13],[1,2,4,6,7,13,14],[1,3,5,7,8,11,14],[1,4,5,6,9,10,12],[1,4,7,8,10,11,12],[1,4,7,9,10,13,14],[1,5,6,8,12,13,14],[1,5,9,11,12,13,14],[1,6,7,8,9,10,11],[2,3,7,9,10,12,14],[2,4,5,8,10,12,13],[2,4,5,9,10,11,14],[2,4,6,8,11,12,14],[2,5,6,7,9,11,13],[2,5,7,8,10,11,13],[2,6,7,8,9,12,14],[3,4,5,7,11,12,14],[3,4,6,8,9,11,13],[3,4,6,10,11,13,14],[3,4,7,8,9,12,13],[3,5,6,7,10,12,13],[3,5,6,8,9,10,14]]; G[1382]:=Group([(2,13)(3,14)(4,12)(6,9)(7,11)]); # Design 1383: autom. group order 2, simple B[1383]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,12,13,14],[1,3,5,7,9,12,14],[1,4,5,6,8,10,11],[1,4,7,8,11,13,14],[1,4,7,9,10,11,12],[1,5,6,9,10,13,14],[1,5,8,10,12,13,14],[1,6,7,8,9,11,12],[2,3,8,10,11,12,14],[2,4,5,7,10,12,13],[2,4,5,9,11,12,14],[2,4,7,8,9,10,14],[2,5,6,7,10,11,14],[2,5,6,8,9,11,13],[2,6,7,8,9,12,13],[3,4,5,8,11,12,13],[3,4,6,7,11,13,14],[3,4,6,8,9,10,14],[3,4,6,9,10,12,13],[3,5,6,7,8,12,14],[3,5,7,9,10,11,13]]; G[1383]:=Group([(2,13)(3,14)(4,10)(6,8)(7,12)]); # Design 1384: autom. group order 2, simple, residual B[1384]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,11,12,14],[1,2,4,6,12,13,14],[1,3,5,7,10,13,14],[1,4,5,6,11,13,14],[1,4,7,8,9,11,12],[1,4,7,9,10,11,13],[1,5,6,8,9,12,14],[1,5,8,10,11,12,13],[1,6,7,8,9,10,14],[2,3,8,9,11,13,14],[2,4,5,7,8,11,14],[2,4,5,9,10,12,13],[2,4,7,8,10,12,14],[2,5,6,7,10,11,12],[2,5,6,8,9,10,13],[2,6,7,9,11,13,14],[3,4,5,9,10,11,14],[3,4,6,7,8,10,13],[3,4,6,8,11,12,13],[3,4,6,9,10,12,14],[3,5,6,7,9,11,12],[3,5,7,8,12,13,14]]; G[1384]:=Group([(1,13)(3,9)(4,14)(5,11)]); # Design 1385: autom. group order 2, simple B[1385]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,6,9,13,14],[1,3,5,7,9,11,14],[1,4,5,6,8,10,12],[1,4,7,9,10,11,12],[1,4,8,9,10,13,14],[1,5,6,11,12,13,14],[1,5,7,8,12,13,14],[1,6,7,8,9,10,11],[2,3,8,9,10,12,14],[2,4,5,7,10,11,14],[2,4,5,9,11,12,13],[2,4,7,8,11,12,14],[2,5,6,7,8,10,13],[2,5,6,9,10,12,14],[2,6,7,8,9,11,13],[3,4,5,8,10,11,13],[3,4,6,7,8,12,14],[3,4,6,7,9,12,13],[3,4,6,10,11,13,14],[3,5,6,8,9,11,14],[3,5,7,9,10,12,13]]; G[1385]:=Group([(2,13)(3,14)(4,12)(6,8)(9,11)]); # Design 1386: autom. group order 2, simple B[1386]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,9,11,13],[1,2,4,6,12,13,14],[1,3,5,7,8,12,14],[1,4,5,6,9,10,11],[1,4,7,8,10,11,12],[1,4,8,9,10,13,14],[1,5,6,11,12,13,14],[1,5,7,9,11,13,14],[1,6,7,8,9,10,12],[2,3,9,10,11,12,14],[2,4,5,7,10,11,13],[2,4,5,9,10,12,14],[2,4,7,8,11,12,13],[2,5,6,7,8,10,14],[2,5,6,8,9,12,13],[2,6,7,8,9,11,14],[3,4,5,8,11,12,14],[3,4,6,7,9,11,14],[3,4,6,7,9,12,13],[3,4,6,8,10,13,14],[3,5,6,8,10,11,13],[3,5,7,9,10,12,13]]; G[1386]:=Group([(2,13)(3,14)(4,11)(6,9)(8,12)]); # Design 1387: autom. group order 2, simple, residual B[1387]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,9,13,14],[1,3,5,7,11,13,14],[1,4,5,6,10,12,13],[1,4,7,9,10,11,14],[1,4,8,10,11,13,14],[1,5,6,8,11,12,14],[1,5,7,8,9,10,12],[1,6,7,8,9,12,13],[2,3,8,10,12,13,14],[2,4,5,7,8,10,14],[2,4,5,8,11,12,13],[2,4,7,9,11,12,13],[2,5,6,7,11,12,14],[2,5,6,9,10,13,14],[2,6,7,8,9,10,11],[3,4,5,9,10,11,12],[3,4,6,7,8,11,13],[3,4,6,7,10,12,14],[3,4,6,8,9,12,14],[3,5,6,9,10,11,13],[3,5,7,8,9,13,14]]; G[1387]:=Group([(2,14)(3,11)(5,10)(6,13)(7,8)]); # Design 1388: autom. group order 2, simple B[1388]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,12,13,14],[1,3,5,8,10,13,14],[1,4,5,6,7,11,14],[1,4,7,10,11,13,14],[1,4,8,9,10,11,13],[1,5,6,9,10,12,13],[1,5,7,8,9,11,12],[1,6,7,8,9,12,14],[2,3,7,9,11,13,14],[2,4,5,8,10,12,14],[2,4,5,9,11,12,13],[2,4,7,8,9,10,14],[2,5,6,7,9,10,13],[2,5,6,8,11,13,14],[2,6,7,8,10,11,12],[3,4,5,7,10,11,12],[3,4,6,7,8,9,13],[3,4,6,8,11,12,13],[3,4,6,9,10,12,14],[3,5,6,9,10,11,14],[3,5,7,8,12,13,14]]; G[1388]:=Group([(2,13)(3,10)(5,11)(6,14)]); # Design 1389: autom. group order 2, simple B[1389]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,12,13,14],[1,3,5,8,10,13,14],[1,4,5,6,7,11,14],[1,4,7,10,11,13,14],[1,4,8,9,10,11,13],[1,5,6,9,10,12,13],[1,5,7,8,9,11,12],[1,6,7,8,9,12,14],[2,3,7,9,11,13,14],[2,4,5,8,11,12,13],[2,4,5,9,10,12,14],[2,4,7,8,9,10,14],[2,5,6,7,9,10,13],[2,5,6,8,11,13,14],[2,6,7,8,10,11,12],[3,4,5,7,10,11,12],[3,4,6,7,8,9,13],[3,4,6,8,10,12,14],[3,4,6,9,11,12,13],[3,5,6,9,10,11,14],[3,5,7,8,12,13,14]]; G[1389]:=Group([(2,13)(3,10)(5,11)(6,14)]); # Design 1390: autom. group order 2, simple B[1390]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,11,13,14],[1,3,5,8,12,13,14],[1,4,5,6,10,13,14],[1,4,7,8,9,10,11],[1,4,7,9,10,12,14],[1,5,6,7,9,12,13],[1,5,7,8,10,11,14],[1,6,8,9,11,12,13],[2,3,7,9,10,13,14],[2,4,5,8,9,12,14],[2,4,5,10,11,12,13],[2,4,7,8,11,12,13],[2,5,6,7,8,10,12],[2,5,6,7,9,11,14],[2,6,8,9,10,13,14],[3,4,5,9,10,11,13],[3,4,6,7,8,9,13],[3,4,6,7,11,12,14],[3,4,6,8,10,12,14],[3,5,6,9,10,11,12],[3,5,7,8,11,13,14]]; G[1390]:=Group([(1,14)(3,9)(4,13)(5,10)(7,8)]); # Design 1391: autom. group order 2, simple, residual B[1391]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,11,13,14],[1,3,5,8,12,13,14],[1,4,5,6,10,13,14],[1,4,7,8,9,10,11],[1,4,7,9,10,12,14],[1,5,6,7,9,12,13],[1,5,8,9,10,11,13],[1,6,7,8,11,12,14],[2,3,7,9,10,13,14],[2,4,5,8,9,12,14],[2,4,5,10,11,12,13],[2,4,7,8,11,12,13],[2,5,6,7,8,10,12],[2,5,6,7,9,11,14],[2,6,8,9,10,13,14],[3,4,5,7,10,11,14],[3,4,6,7,8,9,13],[3,4,6,8,10,12,14],[3,4,6,9,11,12,13],[3,5,6,9,10,11,12],[3,5,7,8,11,13,14]]; G[1391]:=Group([(1,14)(3,9)(4,13)(5,10)(7,8)]); # Design 1392: autom. group order 2, simple B[1392]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,3,9,11,12,13],[1,2,4,6,7,13,14],[1,3,5,7,8,11,14],[1,4,5,6,9,10,12],[1,4,7,8,10,11,12],[1,4,7,9,10,13,14],[1,5,6,8,12,13,14],[1,5,9,11,12,13,14],[1,6,7,8,9,10,11],[2,3,7,9,10,12,14],[2,4,5,8,10,12,13],[2,4,5,9,10,11,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,13],[2,5,6,8,10,11,14],[2,6,7,8,9,12,14],[3,4,5,7,11,12,14],[3,4,6,8,9,11,13],[3,4,6,8,9,12,14],[3,4,6,10,11,13,14],[3,5,6,7,10,12,13],[3,5,7,8,9,10,13]]; G[1392]:=Group([(2,13)(3,14)(4,12)(6,9)(7,11)]); # Design 1393: autom. group order 2, simple, residual B[1393]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,3,9,11,12,13],[1,2,4,6,7,11,14],[1,3,5,7,8,12,14],[1,4,5,9,12,13,14],[1,4,6,8,11,13,14],[1,4,6,9,10,12,13],[1,5,7,8,9,10,11],[1,5,7,10,11,13,14],[1,6,7,8,9,10,12],[2,3,7,9,10,13,14],[2,4,5,7,10,12,13],[2,4,5,8,10,11,12],[2,4,7,8,9,11,13],[2,5,6,8,12,13,14],[2,5,6,9,10,11,14],[2,6,7,8,9,12,14],[3,4,5,6,9,10,14],[3,4,6,7,8,10,13],[3,4,7,9,11,12,14],[3,4,8,10,11,12,14],[3,5,6,7,11,12,13],[3,5,6,8,9,11,13]]; G[1393]:=Group([(1,12)(2,11)(5,14)(6,10)(7,8)]); # Design 1394: autom. group order 2, simple B[1394]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,3,9,11,12,13],[1,2,4,6,7,11,14],[1,3,5,7,8,12,14],[1,4,5,9,12,13,14],[1,4,6,8,11,13,14],[1,4,6,9,10,12,13],[1,5,7,8,10,11,13],[1,5,7,9,10,11,14],[1,6,7,8,9,10,12],[2,3,7,9,10,13,14],[2,4,5,7,10,12,13],[2,4,5,8,10,11,12],[2,4,7,8,9,11,13],[2,5,6,8,9,12,14],[2,5,6,9,10,11,14],[2,6,7,8,12,13,14],[3,4,5,6,10,13,14],[3,4,6,7,8,9,10],[3,4,7,9,11,12,14],[3,4,8,10,11,12,14],[3,5,6,7,11,12,13],[3,5,6,8,9,11,13]]; G[1394]:=Group([(1,12)(2,11)(5,14)(6,10)(7,8)]); # Design 1395: autom. group order 2, simple, residual B[1395]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,8,13,14],[1,3,5,10,12,13,14],[1,4,5,7,10,11,14],[1,4,6,9,10,11,12],[1,4,7,8,9,13,14],[1,5,6,7,9,12,14],[1,5,6,8,11,12,13],[1,7,8,9,10,11,13],[2,3,7,9,11,13,14],[2,4,5,7,10,12,13],[2,4,5,9,10,11,13],[2,4,6,11,12,13,14],[2,5,6,8,9,10,14],[2,5,7,8,11,12,14],[2,6,7,8,9,10,12],[3,4,5,8,9,11,12],[3,4,6,7,9,12,13],[3,4,6,8,10,11,14],[3,4,7,8,10,12,14],[3,5,6,7,8,11,13],[3,5,6,9,10,13,14]]; G[1395]:=Group([(2,8)(3,13)(5,14)(6,9)]); # Design 1396: autom. group order 2, simple, residual B[1396]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,8,13,14],[1,3,5,10,12,13,14],[1,4,5,7,10,11,14],[1,4,6,9,10,11,12],[1,4,7,8,9,13,14],[1,5,6,7,9,12,14],[1,5,6,8,11,12,13],[1,7,8,9,10,11,13],[2,3,7,9,11,13,14],[2,4,5,7,10,12,13],[2,4,5,9,11,12,13],[2,4,6,10,11,13,14],[2,5,6,8,9,10,14],[2,5,7,8,11,12,14],[2,6,7,8,9,10,12],[3,4,5,8,9,10,11],[3,4,6,7,9,12,13],[3,4,6,8,11,12,14],[3,4,7,8,10,12,14],[3,5,6,7,8,11,13],[3,5,6,9,10,13,14]]; G[1396]:=Group([(2,8)(3,13)(5,14)(6,9)]); # Design 1397: autom. group order 2, simple, residual B[1397]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,10,11,14],[1,4,5,9,11,13,14],[1,4,6,7,8,12,13],[1,4,7,8,10,11,13],[1,5,6,8,9,10,14],[1,5,6,9,11,12,13],[1,7,8,9,10,12,14],[2,3,8,9,11,13,14],[2,4,5,7,10,13,14],[2,4,5,8,10,11,12],[2,4,6,9,10,12,14],[2,5,6,7,9,10,13],[2,5,7,8,9,11,12],[2,6,7,8,11,13,14],[3,4,5,8,12,13,14],[3,4,6,7,8,9,14],[3,4,6,9,10,11,13],[3,4,7,9,10,11,12],[3,5,6,7,11,12,14],[3,5,6,8,10,12,13]]; G[1397]:=Group([(1,11)(3,8)(4,14)(5,13)]); # Design 1398: autom. group order 2, simple B[1398]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,10,11,14],[1,4,5,9,11,13,14],[1,4,6,7,8,12,13],[1,4,7,8,10,11,13],[1,5,6,8,9,10,14],[1,5,6,9,11,12,13],[1,7,8,9,10,12,14],[2,3,8,9,11,13,14],[2,4,5,8,10,11,12],[2,4,5,10,12,13,14],[2,4,6,7,9,10,14],[2,5,6,7,9,10,13],[2,5,7,8,9,11,12],[2,6,7,8,11,13,14],[3,4,5,7,8,13,14],[3,4,6,8,9,12,14],[3,4,6,9,10,11,13],[3,4,7,9,10,11,12],[3,5,6,7,11,12,14],[3,5,6,8,10,12,13]]; G[1398]:=Group([(1,11)(3,8)(4,14)(5,13)]); # Design 1399: autom. group order 2, simple, residual B[1399]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,10,11,14],[1,4,5,9,11,13,14],[1,4,6,7,8,12,13],[1,4,7,8,10,11,13],[1,5,6,8,9,12,14],[1,5,6,9,10,11,13],[1,7,8,9,10,12,14],[2,3,8,9,11,13,14],[2,4,5,8,10,11,12],[2,4,5,10,12,13,14],[2,4,6,7,9,10,14],[2,5,6,7,9,10,13],[2,5,7,8,9,11,12],[2,6,7,8,11,13,14],[3,4,5,7,8,13,14],[3,4,6,8,9,10,14],[3,4,6,9,11,12,13],[3,4,7,9,10,11,12],[3,5,6,7,11,12,14],[3,5,6,8,10,12,13]]; G[1399]:=Group([(1,11)(3,8)(4,14)(5,13)]); # Design 1400: autom. group order 2, simple, residual B[1400]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,10,11,14],[1,4,5,9,11,13,14],[1,4,6,8,9,10,13],[1,4,7,8,10,11,13],[1,5,6,7,8,12,14],[1,5,6,9,11,12,13],[1,7,8,9,10,12,14],[2,3,8,9,11,13,14],[2,4,5,7,10,13,14],[2,4,5,8,10,11,12],[2,4,6,9,10,12,14],[2,5,6,7,9,10,13],[2,5,7,8,9,11,12],[2,6,7,8,11,13,14],[3,4,5,8,12,13,14],[3,4,6,7,8,9,14],[3,4,6,7,11,12,13],[3,4,7,9,10,11,12],[3,5,6,8,10,12,13],[3,5,6,9,10,11,14]]; G[1400]:=Group([(1,11)(3,8)(4,14)(5,13)]); # Design 1401: autom. group order 2, simple B[1401]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,10,11,14],[1,4,5,9,11,13,14],[1,4,6,8,9,10,13],[1,4,7,8,10,11,13],[1,5,6,7,11,12,13],[1,5,6,8,9,12,14],[1,7,8,9,10,12,14],[2,3,8,9,11,13,14],[2,4,5,8,10,11,12],[2,4,5,10,12,13,14],[2,4,6,7,9,10,14],[2,5,6,7,9,10,13],[2,5,7,8,9,11,12],[2,6,7,8,11,13,14],[3,4,5,7,8,13,14],[3,4,6,7,8,12,14],[3,4,6,9,11,12,13],[3,4,7,9,10,11,12],[3,5,6,8,10,12,13],[3,5,6,9,10,11,14]]; G[1401]:=Group([(1,11)(3,8)(4,14)(5,13)]); # Design 1402: autom. group order 2, simple B[1402]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,10,11,14],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,10,11,13],[1,5,6,7,11,12,13],[1,5,6,8,9,10,14],[1,7,8,9,10,12,14],[2,3,8,9,11,13,14],[2,4,5,8,10,11,12],[2,4,5,10,12,13,14],[2,4,6,7,9,10,14],[2,5,6,7,9,10,13],[2,5,7,8,9,11,12],[2,6,7,8,11,13,14],[3,4,5,7,8,13,14],[3,4,6,7,8,12,14],[3,4,6,9,10,11,13],[3,4,7,9,10,11,12],[3,5,6,8,10,12,13],[3,5,6,9,11,12,14]]; G[1402]:=Group([(1,11)(3,8)(4,14)(5,13)]); # Design 1403: autom. group order 2, simple, residual B[1403]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,10,11,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,13],[1,4,7,8,10,11,13],[1,5,6,7,9,11,13],[1,5,6,8,9,12,14],[1,7,8,9,10,12,14],[2,3,8,9,11,13,14],[2,4,5,8,10,11,12],[2,4,5,9,10,13,14],[2,4,6,7,9,10,14],[2,5,6,7,10,12,13],[2,5,7,8,9,11,12],[2,6,7,8,11,13,14],[3,4,5,7,8,13,14],[3,4,6,7,8,12,14],[3,4,6,9,11,12,13],[3,4,7,9,10,11,12],[3,5,6,8,10,12,13],[3,5,6,9,10,11,14]]; G[1403]:=Group([(1,11)(3,8)(4,14)(5,13)]); # Design 1404: autom. group order 2, simple, residual B[1404]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,10,11,14],[1,4,5,11,12,13,14],[1,4,6,8,9,12,13],[1,4,7,8,10,11,13],[1,5,6,7,9,11,13],[1,5,6,8,9,10,14],[1,7,8,9,10,12,14],[2,3,8,9,11,13,14],[2,4,5,8,10,11,12],[2,4,5,9,10,13,14],[2,4,6,7,9,10,14],[2,5,6,7,10,12,13],[2,5,7,8,9,11,12],[2,6,7,8,11,13,14],[3,4,5,7,8,13,14],[3,4,6,7,8,12,14],[3,4,6,9,10,11,13],[3,4,7,9,10,11,12],[3,5,6,8,10,12,13],[3,5,6,9,11,12,14]]; G[1404]:=Group([(1,11)(3,8)(4,14)(5,13)]); # Design 1405: autom. group order 2, simple B[1405]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,10,11,14],[1,4,5,9,11,13,14],[1,4,6,8,9,10,13],[1,4,7,8,10,11,13],[1,5,6,7,8,12,14],[1,5,6,9,11,12,13],[1,7,8,9,10,12,14],[2,3,8,9,11,13,14],[2,4,5,8,10,11,12],[2,4,5,10,12,13,14],[2,4,6,7,9,10,14],[2,5,6,7,9,10,13],[2,5,7,8,9,11,12],[2,6,7,8,11,13,14],[3,4,5,7,8,13,14],[3,4,6,7,11,12,13],[3,4,6,8,9,12,14],[3,4,7,9,10,11,12],[3,5,6,8,10,12,13],[3,5,6,9,10,11,14]]; G[1405]:=Group([(1,11)(3,8)(4,14)(5,13)]); # Design 1406: autom. group order 2, simple, residual B[1406]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,10,11,14],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,10,11,13],[1,5,6,7,8,12,14],[1,5,6,9,10,11,13],[1,7,8,9,10,12,14],[2,3,8,9,11,13,14],[2,4,5,8,10,11,12],[2,4,5,10,12,13,14],[2,4,6,7,9,10,14],[2,5,6,7,9,10,13],[2,5,7,8,9,11,12],[2,6,7,8,11,13,14],[3,4,5,7,8,13,14],[3,4,6,7,11,12,13],[3,4,6,8,9,10,14],[3,4,7,9,10,11,12],[3,5,6,8,10,12,13],[3,5,6,9,11,12,14]]; G[1406]:=Group([(1,11)(3,8)(4,14)(5,13)]); # Design 1407: autom. group order 2, simple, residual B[1407]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,12,13,14],[1,2,4,6,11,12,14],[1,3,5,10,11,13,14],[1,4,5,7,8,10,12],[1,4,6,8,9,13,14],[1,4,7,9,10,13,14],[1,5,6,7,11,12,14],[1,5,6,8,9,11,13],[1,7,8,9,10,11,12],[2,3,7,8,9,11,14],[2,4,5,8,12,13,14],[2,4,5,9,10,11,12],[2,4,6,7,10,11,13],[2,5,6,7,9,10,13],[2,5,7,8,11,13,14],[2,6,8,9,10,12,14],[3,4,5,9,10,11,14],[3,4,6,7,8,10,14],[3,4,6,9,11,12,13],[3,4,7,8,11,12,13],[3,5,6,7,9,12,14],[3,5,6,8,10,12,13]]; G[1407]:=Group([(1,13)(2,12)(5,11)(6,8)]); # Design 1408: autom. group order 2, simple, residual B[1408]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,12,13,14],[1,2,4,6,11,12,14],[1,3,5,10,11,13,14],[1,4,5,8,9,10,12],[1,4,6,7,8,13,14],[1,4,7,9,10,13,14],[1,5,6,7,8,11,13],[1,5,6,9,11,12,14],[1,7,8,9,10,11,12],[2,3,7,8,9,11,14],[2,4,5,7,10,11,12],[2,4,5,8,12,13,14],[2,4,6,9,10,11,13],[2,5,6,7,9,10,13],[2,5,8,9,11,13,14],[2,6,7,8,10,12,14],[3,4,5,7,10,11,14],[3,4,6,8,9,10,14],[3,4,6,9,11,12,13],[3,4,7,8,11,12,13],[3,5,6,7,9,12,14],[3,5,6,8,10,12,13]]; G[1408]:=Group([(1,13)(2,12)(5,11)(6,8)]); # Design 1409: autom. group order 2, simple, residual B[1409]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,12,14],[1,2,4,6,9,13,14],[1,3,5,10,11,13,14],[1,4,5,8,10,11,12],[1,4,6,7,11,12,13],[1,4,7,8,9,10,14],[1,5,6,7,9,12,14],[1,5,6,8,10,13,14],[1,7,8,9,11,12,13],[2,3,7,8,12,13,14],[2,4,5,7,10,12,13],[2,4,5,8,11,12,14],[2,4,6,8,11,13,14],[2,5,6,9,10,12,13],[2,5,7,9,10,11,14],[2,6,7,8,9,10,11],[3,4,5,7,9,11,13],[3,4,6,7,10,11,14],[3,4,6,8,9,10,12],[3,4,9,10,12,13,14],[3,5,6,7,8,12,14],[3,5,6,8,9,11,13]]; G[1409]:=Group([(2,12)(3,11)(4,7)(5,13)]); # Design 1410: autom. group order 2, simple, residual B[1410]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,11,12,14],[1,2,4,6,12,13,14],[1,3,5,8,10,13,14],[1,4,5,9,10,11,12],[1,4,6,7,10,11,13],[1,4,7,8,9,12,14],[1,5,6,7,11,12,14],[1,5,6,8,9,13,14],[1,7,8,9,10,11,13],[2,3,7,9,11,13,14],[2,4,5,7,8,11,13],[2,4,5,9,10,11,14],[2,4,6,9,10,13,14],[2,5,6,8,11,12,13],[2,5,7,8,10,12,14],[2,6,7,8,9,10,12],[3,4,5,7,10,12,13],[3,4,6,7,8,10,14],[3,4,6,8,9,11,12],[3,4,8,11,12,13,14],[3,5,6,7,9,11,14],[3,5,6,9,10,12,13]]; G[1410]:=Group([(2,11)(3,10)(4,7)(5,13)]); # Design 1411: autom. group order 2, simple, residual B[1411]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,3,9,10,11,13],[1,2,4,6,10,12,14],[1,3,5,9,12,13,14],[1,4,5,8,10,11,13],[1,4,6,8,9,12,14],[1,4,7,9,11,12,13],[1,5,6,7,8,12,13],[1,5,6,7,10,11,14],[1,7,8,9,10,11,14],[2,3,7,8,11,12,14],[2,4,5,7,9,10,14],[2,4,5,11,12,13,14],[2,4,6,7,9,11,13],[2,5,6,8,11,13,14],[2,5,7,8,9,10,12],[2,6,8,9,10,12,13],[3,4,5,8,10,11,12],[3,4,6,7,8,10,13],[3,4,6,8,9,11,14],[3,4,7,10,12,13,14],[3,5,6,7,9,11,12],[3,5,6,9,10,13,14]]; G[1411]:=Group([(2,10)(3,11)(4,14)(5,7)]); # Design 1412: autom. group order 2, simple, residual B[1412]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,3,9,10,11,13],[1,2,4,6,10,12,14],[1,3,5,9,12,13,14],[1,4,5,8,10,11,13],[1,4,6,8,12,13,14],[1,4,7,9,11,12,13],[1,5,6,7,8,9,12],[1,5,6,7,10,11,14],[1,7,8,9,10,11,14],[2,3,7,8,11,12,14],[2,4,5,7,10,13,14],[2,4,5,9,11,12,14],[2,4,6,7,9,11,13],[2,5,6,8,9,11,14],[2,5,7,8,10,12,13],[2,6,8,9,10,12,13],[3,4,5,8,10,11,12],[3,4,6,7,8,9,10],[3,4,6,8,11,13,14],[3,4,7,9,10,12,14],[3,5,6,7,11,12,13],[3,5,6,9,10,13,14]]; G[1412]:=Group([(2,10)(3,11)(4,14)(5,7)]); # Design 1413: autom. group order 2, simple, residual B[1413]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,3,9,10,11,13],[1,2,4,6,10,12,14],[1,3,5,9,12,13,14],[1,4,5,8,10,11,13],[1,4,6,8,9,12,14],[1,4,7,9,11,12,13],[1,5,6,7,8,12,13],[1,5,6,7,10,11,14],[1,7,8,9,10,11,14],[2,3,7,8,11,12,14],[2,4,5,7,9,10,14],[2,4,5,11,12,13,14],[2,4,6,7,8,11,13],[2,5,6,9,11,13,14],[2,5,7,8,9,10,12],[2,6,8,9,10,12,13],[3,4,5,8,10,11,12],[3,4,6,7,9,10,13],[3,4,6,8,9,11,14],[3,4,7,10,12,13,14],[3,5,6,7,9,11,12],[3,5,6,8,10,13,14]]; G[1413]:=Group([(2,10)(3,11)(4,14)(5,7)]); # Design 1414: autom. group order 2, simple, residual B[1414]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,3,9,10,11,13],[1,2,4,6,10,12,14],[1,3,5,9,12,13,14],[1,4,5,8,10,11,13],[1,4,6,8,12,13,14],[1,4,7,9,11,12,13],[1,5,6,7,8,9,12],[1,5,6,7,10,11,14],[1,7,8,9,10,11,14],[2,3,7,8,11,12,14],[2,4,5,7,10,13,14],[2,4,5,9,11,12,14],[2,4,6,7,8,9,11],[2,5,6,9,11,13,14],[2,5,7,8,10,12,13],[2,6,8,9,10,12,13],[3,4,5,8,10,11,12],[3,4,6,7,9,10,13],[3,4,6,8,11,13,14],[3,4,7,9,10,12,14],[3,5,6,7,11,12,13],[3,5,6,8,9,10,14]]; G[1414]:=Group([(2,10)(3,11)(4,14)(5,7)]); # Design 1415: autom. group order 2, simple B[1415]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,7,10,14],[1,3,5,7,11,12,14],[1,4,5,9,10,11,14],[1,4,6,9,12,13,14],[1,4,7,8,10,12,13],[1,5,6,7,8,12,13],[1,5,6,8,9,11,13],[1,7,8,9,10,11,14],[2,3,7,8,9,13,14],[2,4,5,7,9,11,13],[2,4,5,10,11,12,13],[2,4,6,8,9,12,14],[2,5,6,8,11,12,14],[2,5,7,8,10,13,14],[2,6,7,9,10,11,12],[3,4,5,8,10,12,14],[3,4,6,7,11,13,14],[3,4,6,8,10,11,13],[3,4,7,8,9,11,12],[3,5,6,7,9,10,12],[3,5,6,9,10,13,14]]; G[1415]:=Group([(2,13)(3,12)(4,8)(5,7)(9,10)(11,14)]); # Design 1416: autom. group order 2, simple B[1416]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,7,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,13,14],[1,4,6,8,10,11,12],[1,4,7,8,9,11,13],[1,5,6,7,9,10,13],[1,5,6,9,10,12,14],[1,7,8,9,11,12,14],[2,3,7,8,9,10,14],[2,4,5,7,9,11,12],[2,4,5,10,11,13,14],[2,4,6,8,9,13,14],[2,5,6,8,11,12,13],[2,5,7,8,10,12,14],[2,6,7,9,10,11,13],[3,4,5,9,10,11,12],[3,4,6,7,10,11,14],[3,4,6,9,12,13,14],[3,4,7,8,10,12,13],[3,5,6,7,8,12,13],[3,5,6,8,9,11,14]]; G[1416]:=Group([(1,13)(2,12)(4,8)(5,7)(9,10)(11,14)]); # Design 1417: autom. group order 2, simple, residual B[1417]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,12,14],[1,2,4,6,9,13,14],[1,3,5,10,11,13,14],[1,4,5,8,10,11,12],[1,4,6,7,11,12,13],[1,4,7,8,9,10,14],[1,5,6,7,9,12,14],[1,5,6,8,10,13,14],[1,7,8,9,11,12,13],[2,3,7,8,12,13,14],[2,4,5,7,10,12,13],[2,4,5,8,11,12,14],[2,4,9,10,11,13,14],[2,5,6,7,8,11,14],[2,5,6,9,10,12,13],[2,6,7,8,9,10,11],[3,4,5,7,9,11,13],[3,4,6,7,10,11,14],[3,4,6,8,9,10,12],[3,4,6,8,12,13,14],[3,5,6,8,9,11,13],[3,5,7,9,10,12,14]]; G[1417]:=Group([(2,12)(3,11)(4,7)(5,13)]); # Design 1418: autom. group order 2, simple, residual B[1418]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,11,12,14],[1,2,4,6,12,13,14],[1,3,5,8,10,13,14],[1,4,5,9,10,11,12],[1,4,6,7,10,11,13],[1,4,7,8,9,12,14],[1,5,6,7,11,12,14],[1,5,6,8,9,13,14],[1,7,8,9,10,11,13],[2,3,7,9,11,13,14],[2,4,5,7,8,11,13],[2,4,5,9,10,11,14],[2,4,8,10,12,13,14],[2,5,6,7,9,10,14],[2,5,6,8,11,12,13],[2,6,7,8,9,10,12],[3,4,5,7,10,12,13],[3,4,6,7,8,10,14],[3,4,6,8,9,11,12],[3,4,6,9,11,13,14],[3,5,6,9,10,12,13],[3,5,7,8,11,12,14]]; G[1418]:=Group([(2,11)(3,10)(4,7)(5,13)]); # Design 1419: autom. group order 2, simple B[1419]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,12,13,14],[1,3,5,8,11,13,14],[1,4,5,7,9,11,13],[1,4,6,8,9,10,12],[1,4,7,8,10,11,14],[1,5,6,10,11,12,14],[1,5,7,9,10,12,13],[1,6,7,8,9,13,14],[2,3,7,9,10,13,14],[2,4,5,6,9,10,14],[2,4,5,8,10,11,13],[2,4,7,8,11,12,14],[2,5,6,7,11,12,13],[2,5,7,8,9,12,14],[2,6,8,9,10,11,13],[3,4,5,10,12,13,14],[3,4,6,7,8,12,13],[3,4,6,9,11,13,14],[3,4,7,9,10,11,12],[3,5,6,7,8,10,14],[3,5,6,8,9,11,12]]; G[1419]:=Group([(1,8)(2,7)(3,14)(5,11)(6,12)(9,10)]); # Design 1420: autom. group order 2, simple B[1420]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,12,13,14],[1,3,5,8,11,13,14],[1,4,5,10,11,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,11,14],[1,5,6,7,8,9,13],[1,5,7,8,10,12,14],[1,6,7,9,11,12,13],[2,3,7,9,10,13,14],[2,4,5,6,10,11,13],[2,4,5,7,9,12,14],[2,4,7,8,11,12,13],[2,5,6,8,9,11,14],[2,5,7,8,10,11,12],[2,6,8,9,10,13,14],[3,4,5,9,10,12,13],[3,4,6,7,8,10,14],[3,4,6,8,11,12,14],[3,4,7,8,9,11,13],[3,5,6,7,12,13,14],[3,5,6,9,10,11,12]]; G[1420]:=Group([(1,14)(3,9)(4,13)(5,10)(7,8)]); # Design 1421: autom. group order 2, simple, residual B[1421]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,11,13,14],[1,3,5,8,12,13,14],[1,4,5,10,11,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,12,14],[1,5,6,7,8,10,14],[1,5,7,8,9,11,13],[1,6,7,9,11,12,13],[2,3,7,9,10,13,14],[2,4,5,6,10,12,13],[2,4,5,7,9,12,14],[2,4,7,8,11,12,13],[2,5,6,8,9,11,14],[2,5,7,8,10,11,12],[2,6,8,9,10,13,14],[3,4,5,9,10,11,13],[3,4,6,7,8,9,13],[3,4,6,8,11,12,14],[3,4,7,8,10,11,14],[3,5,6,7,12,13,14],[3,5,6,9,10,11,12]]; G[1421]:=Group([(1,14)(3,9)(4,13)(5,10)(7,8)]); # Design 1422: autom. group order 2, simple, residual B[1422]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,6,9,12,13],[1,3,5,7,9,11,12],[1,4,5,7,8,10,14],[1,4,6,8,11,12,14],[1,4,7,11,12,13,14],[1,5,6,9,10,13,14],[1,5,8,9,10,11,12],[1,6,7,8,9,10,13],[2,3,8,9,10,12,14],[2,4,5,6,10,12,14],[2,4,5,8,10,11,13],[2,4,7,8,9,12,13],[2,5,6,7,9,11,14],[2,5,7,10,11,12,13],[2,6,7,8,9,11,14],[3,4,5,9,11,13,14],[3,4,6,7,8,10,11],[3,4,6,9,10,11,13],[3,4,7,9,10,12,14],[3,5,6,7,8,12,13],[3,5,6,8,12,13,14]]; G[1422]:=Group([(2,12)(3,11)(5,14)(7,8)(9,13)]); # Design 1423: autom. group order 2, simple B[1423]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,12,13,14],[1,3,5,7,11,12,14],[1,4,5,7,9,10,12],[1,4,6,8,9,10,11],[1,4,7,8,11,13,14],[1,5,6,9,10,13,14],[1,5,8,10,12,13,14],[1,6,7,8,9,11,12],[2,3,8,9,10,12,14],[2,4,5,6,8,12,14],[2,4,5,9,10,11,13],[2,4,7,10,11,12,13],[2,5,6,7,10,11,14],[2,5,7,8,9,11,14],[2,6,7,8,9,12,13],[3,4,5,8,11,12,13],[3,4,6,7,9,13,14],[3,4,6,8,10,11,14],[3,4,7,9,10,12,14],[3,5,6,7,8,10,13],[3,5,6,9,11,12,13]]; G[1423]:=Group([(2,13)(3,14)(4,10)(6,8)(7,12)]); # Design 1424: autom. group order 2, simple, residual B[1424]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,10,11,14],[1,3,5,7,11,12,14],[1,4,5,10,11,13,14],[1,4,6,7,8,9,13],[1,4,7,8,11,12,13],[1,5,6,9,11,12,13],[1,5,7,8,9,10,14],[1,6,8,9,10,12,14],[2,3,8,9,11,13,14],[2,4,5,6,12,13,14],[2,4,5,8,9,11,12],[2,4,7,9,10,12,14],[2,5,6,7,9,10,13],[2,5,7,8,10,11,12],[2,6,7,8,11,13,14],[3,4,5,8,10,13,14],[3,4,6,7,8,12,14],[3,4,6,9,10,11,12],[3,4,7,9,10,11,13],[3,5,6,7,9,11,14],[3,5,6,8,10,12,13]]; G[1424]:=Group([(1,11)(3,8)(4,14)(5,13)]); # Design 1425: autom. group order 2, simple, residual B[1425]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,3,8,12,13,14],[1,2,4,6,9,10,14],[1,3,5,7,9,12,14],[1,4,5,9,11,12,13],[1,4,6,7,8,13,14],[1,4,7,8,10,11,12],[1,5,6,10,11,13,14],[1,5,8,9,10,11,14],[1,6,7,8,9,12,13],[2,3,8,9,11,13,14],[2,4,5,6,8,11,13],[2,4,5,7,11,12,14],[2,4,7,9,10,13,14],[2,5,6,8,9,10,12],[2,5,7,8,10,12,13],[2,6,7,9,11,12,14],[3,4,5,10,12,13,14],[3,4,6,8,11,12,14],[3,4,6,9,10,12,13],[3,4,7,8,9,10,11],[3,5,6,7,8,10,14],[3,5,6,7,9,11,13]]; G[1425]:=Group([(2,10)(3,11)(4,14)(7,13)]); # Design 1426: autom. group order 2, simple, residual B[1426]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,6,9,12,13],[1,3,5,7,9,11,12],[1,4,5,8,9,10,14],[1,4,6,7,8,13,14],[1,4,7,8,10,11,12],[1,5,6,10,12,13,14],[1,5,9,11,12,13,14],[1,6,7,8,9,10,11],[2,3,8,9,10,12,14],[2,4,5,6,10,11,14],[2,4,5,7,11,12,14],[2,4,7,9,10,12,13],[2,5,6,8,9,11,13],[2,5,7,8,10,11,13],[2,6,7,8,9,12,14],[3,4,5,8,10,12,13],[3,4,6,8,11,12,14],[3,4,6,9,10,11,13],[3,4,7,9,11,13,14],[3,5,6,7,8,12,13],[3,5,6,7,9,10,14]]; G[1426]:=Group([(2,13)(3,14)(4,12)(7,10)(8,11)]); # Design 1427: autom. group order 2, simple, residual B[1427]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,6,9,12,13],[1,3,5,7,9,11,12],[1,4,5,8,9,10,14],[1,4,6,7,8,13,14],[1,4,7,8,10,11,12],[1,5,6,10,12,13,14],[1,5,9,11,12,13,14],[1,6,7,8,9,10,11],[2,3,8,9,10,12,14],[2,4,5,6,10,11,14],[2,4,5,8,11,12,13],[2,4,7,9,10,12,13],[2,5,6,7,9,11,14],[2,5,7,8,10,11,13],[2,6,7,8,9,12,14],[3,4,5,7,10,12,14],[3,4,6,8,11,12,14],[3,4,6,9,10,11,13],[3,4,7,9,11,13,14],[3,5,6,7,8,12,13],[3,5,6,8,9,10,13]]; G[1427]:=Group([(2,13)(3,14)(4,12)(7,10)(8,11)]); # Design 1428: autom. group order 2, simple B[1428]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,12,13,14],[1,3,5,7,10,13,14],[1,4,5,8,10,11,14],[1,4,6,7,9,11,14],[1,4,8,9,10,12,13],[1,5,6,8,11,12,13],[1,5,7,9,11,12,13],[1,6,7,8,9,10,14],[2,3,8,9,11,13,14],[2,4,5,6,9,10,13],[2,4,5,7,8,11,12],[2,4,7,10,11,12,14],[2,5,6,9,10,12,14],[2,5,7,8,9,13,14],[2,6,7,8,10,11,13],[3,4,5,10,11,13,14],[3,4,6,7,9,11,13],[3,4,6,8,12,13,14],[3,4,7,8,9,10,12],[3,5,6,7,8,12,14],[3,5,6,9,10,11,12]]; G[1428]:=Group([(2,12)(3,13)(4,11)(6,9)]); # Design 1429: autom. group order 2, simple, residual B[1429]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,5,9,10,11,13],[1,4,6,7,9,10,12],[1,4,8,10,11,12,14],[1,5,6,8,9,11,13],[1,5,7,8,9,12,14],[1,6,7,8,10,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,5,8,12,13,14],[2,4,7,8,9,10,13],[2,5,6,7,8,11,12],[2,5,7,9,10,11,12],[2,6,7,9,11,13,14],[3,4,5,7,10,11,14],[3,4,6,7,8,9,14],[3,4,6,9,11,12,13],[3,4,7,8,11,12,13],[3,5,6,8,10,12,13],[3,5,6,9,10,12,14]]; G[1429]:=Group([(1,13)(2,12)(5,11)(6,8)]); # Design 1430: autom. group order 2, simple, residual B[1430]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,10,12,14],[1,3,5,7,11,12,14],[1,4,5,8,10,13,14],[1,4,6,9,11,12,13],[1,4,7,8,11,12,13],[1,5,6,7,9,13,14],[1,5,8,9,10,11,12],[1,6,7,8,9,10,14],[2,3,8,9,12,13,14],[2,4,5,6,8,11,14],[2,4,5,9,10,11,13],[2,4,7,9,10,12,14],[2,5,6,7,9,12,13],[2,5,7,8,11,12,14],[2,6,7,8,10,11,13],[3,4,5,7,10,12,13],[3,4,6,7,8,9,11],[3,4,6,8,12,13,14],[3,4,7,9,10,11,14],[3,5,6,8,9,10,12],[3,5,6,10,11,13,14]]; G[1430]:=Group([(2,12)(3,11)(5,13)(7,9)]); # Design 1431: autom. group order 2, simple, residual B[1431]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,3,9,10,11,13],[1,2,4,6,10,12,14],[1,3,5,7,9,12,14],[1,4,5,8,11,12,13],[1,4,6,9,12,13,14],[1,4,7,8,9,10,11],[1,5,6,8,10,11,14],[1,5,7,10,11,13,14],[1,6,7,8,9,12,13],[2,3,8,11,12,13,14],[2,4,5,6,7,11,13],[2,4,5,9,10,13,14],[2,4,7,8,10,12,14],[2,5,6,8,9,11,12],[2,5,7,9,11,12,14],[2,6,7,8,9,10,13],[3,4,5,8,10,12,13],[3,4,6,7,8,11,14],[3,4,6,9,11,13,14],[3,4,7,9,10,11,12],[3,5,6,7,10,12,13],[3,5,6,8,9,10,14]]; G[1431]:=Group([(2,10)(3,11)(4,14)(7,8)(9,13)]); # Design 1432: autom. group order 2, simple, residual B[1432]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,11,12,14],[1,2,4,6,12,13,14],[1,3,5,7,10,13,14],[1,4,5,8,11,13,14],[1,4,6,9,10,11,12],[1,4,7,9,10,11,13],[1,5,6,8,9,12,14],[1,5,7,8,11,12,13],[1,6,7,8,9,10,14],[2,3,8,9,11,13,14],[2,4,5,6,7,11,14],[2,4,5,9,10,12,13],[2,4,7,8,10,12,14],[2,5,6,8,9,10,13],[2,5,7,8,10,11,12],[2,6,7,9,11,13,14],[3,4,5,9,10,11,14],[3,4,6,7,8,10,13],[3,4,6,8,11,12,13],[3,4,7,8,9,12,14],[3,5,6,7,9,11,12],[3,5,6,10,12,13,14]]; G[1432]:=Group([(1,13)(3,9)(4,14)(5,11)]); # Design 1433: autom. group order 2, simple B[1433]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,11,12,14],[1,2,4,6,12,13,14],[1,3,5,7,10,13,14],[1,4,5,8,11,13,14],[1,4,6,9,10,11,12],[1,4,7,9,10,11,13],[1,5,6,8,11,12,13],[1,5,7,8,9,12,14],[1,6,7,8,9,10,14],[2,3,8,9,11,13,14],[2,4,5,6,7,11,14],[2,4,5,9,10,12,13],[2,4,7,8,10,12,14],[2,5,6,8,9,10,13],[2,5,7,8,10,11,12],[2,6,7,9,11,13,14],[3,4,5,9,10,11,14],[3,4,6,7,8,10,13],[3,4,6,8,9,12,14],[3,4,7,8,11,12,13],[3,5,6,7,9,11,12],[3,5,6,10,12,13,14]]; G[1433]:=Group([(1,13)(3,9)(4,14)(5,11)]); # Design 1434: autom. group order 2, simple B[1434]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,11,12,14],[1,2,4,6,12,13,14],[1,3,5,7,10,13,14],[1,4,5,8,11,13,14],[1,4,6,8,9,11,12],[1,4,7,9,10,11,13],[1,5,6,10,11,12,13],[1,5,7,8,9,12,14],[1,6,7,8,9,10,14],[2,3,8,9,11,13,14],[2,4,5,6,7,11,14],[2,4,5,9,10,12,13],[2,4,7,8,10,12,14],[2,5,6,8,9,10,13],[2,5,7,8,10,11,12],[2,6,7,9,11,13,14],[3,4,5,9,10,11,14],[3,4,6,7,8,10,13],[3,4,6,9,10,12,14],[3,4,7,8,11,12,13],[3,5,6,7,9,11,12],[3,5,6,8,12,13,14]]; G[1434]:=Group([(1,13)(3,9)(4,14)(5,11)]); # Design 1435: autom. group order 2, simple, residual B[1435]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,3,8,12,13,14],[1,2,4,6,9,10,14],[1,3,5,8,9,11,14],[1,4,5,7,10,12,14],[1,4,6,7,8,11,13],[1,4,7,9,11,12,14],[1,5,6,11,12,13,14],[1,5,8,9,10,12,13],[1,6,7,8,9,10,13],[2,3,7,9,12,13,14],[2,4,5,6,8,12,13],[2,4,5,10,11,13,14],[2,4,7,8,9,11,12],[2,5,6,7,9,13,14],[2,5,7,8,10,11,12],[2,6,8,9,10,11,14],[3,4,5,9,10,11,13],[3,4,6,8,10,12,14],[3,4,6,9,11,12,13],[3,4,7,8,10,13,14],[3,5,6,7,8,11,14],[3,5,6,7,9,10,12]]; G[1435]:=Group([(1,8)(2,14)(4,11)]); # Design 1436: autom. group order 2, simple, residual B[1436]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,3,8,12,13,14],[1,2,4,6,9,10,14],[1,3,5,9,12,13,14],[1,4,5,7,9,11,12],[1,4,6,7,8,13,14],[1,4,7,8,10,11,12],[1,5,6,10,11,13,14],[1,5,8,9,10,11,14],[1,6,7,8,9,12,13],[2,3,7,8,9,11,14],[2,4,5,6,8,11,13],[2,4,5,11,12,13,14],[2,4,7,9,10,13,14],[2,5,6,8,9,10,12],[2,5,7,8,10,12,13],[2,6,7,9,11,12,14],[3,4,5,7,10,12,14],[3,4,6,8,11,12,14],[3,4,6,9,10,12,13],[3,4,8,9,10,11,13],[3,5,6,7,8,10,14],[3,5,6,7,9,11,13]]; G[1436]:=Group([(2,10)(3,11)(4,14)(7,13)]); # Design 1437: autom. group order 2, simple, residual B[1437]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,6,9,12,13],[1,3,5,8,9,10,12],[1,4,5,7,9,11,14],[1,4,6,7,8,13,14],[1,4,7,8,10,11,12],[1,5,6,10,12,13,14],[1,5,9,11,12,13,14],[1,6,7,8,9,10,11],[2,3,7,9,11,12,14],[2,4,5,6,10,11,14],[2,4,5,8,10,12,14],[2,4,7,9,10,12,13],[2,5,6,8,9,11,13],[2,5,7,8,10,11,13],[2,6,7,8,9,12,14],[3,4,5,7,11,12,13],[3,4,6,8,11,12,14],[3,4,6,9,10,11,13],[3,4,8,9,10,13,14],[3,5,6,7,8,12,13],[3,5,6,7,9,10,14]]; G[1437]:=Group([(2,13)(3,14)(4,12)(7,10)(8,11)]); # Design 1438: autom. group order 2, simple, residual B[1438]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,6,9,12,13],[1,3,5,8,9,10,12],[1,4,5,7,9,11,14],[1,4,6,7,8,13,14],[1,4,7,8,10,11,12],[1,5,6,10,12,13,14],[1,5,9,11,12,13,14],[1,6,7,8,9,10,11],[2,3,7,9,11,12,14],[2,4,5,6,10,11,14],[2,4,5,8,11,12,13],[2,4,7,9,10,12,13],[2,5,6,8,9,10,14],[2,5,7,8,10,11,13],[2,6,7,8,9,12,14],[3,4,5,7,10,12,14],[3,4,6,8,11,12,14],[3,4,6,9,10,11,13],[3,4,8,9,10,13,14],[3,5,6,7,8,12,13],[3,5,6,7,9,11,13]]; G[1438]:=Group([(2,13)(3,14)(4,12)(7,10)(8,11)]); # Design 1439: autom. group order 2, simple, residual B[1439]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,9,12,14],[1,3,5,10,12,13,14],[1,4,5,7,11,12,13],[1,4,6,7,8,10,11],[1,4,7,8,9,12,14],[1,5,6,8,11,12,13],[1,5,8,9,10,11,14],[1,6,7,9,10,13,14],[2,3,7,8,11,12,14],[2,4,5,6,10,13,14],[2,4,5,8,11,13,14],[2,4,7,9,10,11,13],[2,5,6,8,9,10,12],[2,5,7,9,10,11,12],[2,6,7,8,12,13,14],[3,4,5,7,10,12,14],[3,4,6,8,10,11,14],[3,4,6,9,11,12,13],[3,4,8,9,10,12,13],[3,5,6,7,8,9,13],[3,5,6,7,9,11,14]]; G[1439]:=Group([(2,9)(3,14)(5,12)(6,8)]); # Design 1440: autom. group order 2, simple, residual B[1440]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,9,12,14],[1,3,5,10,12,13,14],[1,4,5,7,11,12,13],[1,4,6,7,8,10,11],[1,4,7,8,9,12,14],[1,5,6,8,11,12,13],[1,5,8,9,10,11,14],[1,6,7,9,10,13,14],[2,3,7,8,11,12,14],[2,4,5,6,11,13,14],[2,4,5,8,10,13,14],[2,4,7,9,10,11,13],[2,5,6,8,9,10,12],[2,5,7,9,10,11,12],[2,6,7,8,12,13,14],[3,4,5,7,10,12,14],[3,4,6,8,10,11,14],[3,4,6,9,10,12,13],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,9,11,14]]; G[1440]:=Group([(2,9)(3,14)(5,12)(6,8)]); # Design 1441: autom. group order 2, simple, residual B[1441]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,10,12,14],[1,3,5,8,11,12,14],[1,4,5,7,10,11,13],[1,4,6,7,12,13,14],[1,4,8,9,10,13,14],[1,5,6,7,8,9,14],[1,5,7,9,10,11,12],[1,6,8,9,11,12,13],[2,3,7,9,12,13,14],[2,4,5,6,9,11,13],[2,4,5,8,11,12,14],[2,4,7,8,11,12,13],[2,5,6,8,10,13,14],[2,5,7,9,10,12,14],[2,6,7,8,9,10,11],[3,4,5,9,10,12,13],[3,4,6,7,8,9,12],[3,4,6,9,10,11,14],[3,4,7,8,10,11,14],[3,5,6,7,11,13,14],[3,5,6,8,10,12,13]]; G[1441]:=Group([(1,11)(2,14)(5,10)(6,8)]); # Design 1442: autom. group order 2, simple B[1442]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,10,12,14],[1,3,5,8,11,12,14],[1,4,5,7,12,13,14],[1,4,6,7,8,11,13],[1,4,8,9,10,13,14],[1,5,6,7,9,10,14],[1,5,7,9,10,11,12],[1,6,8,9,11,12,13],[2,3,7,9,12,13,14],[2,4,5,6,9,11,13],[2,4,5,8,11,12,14],[2,4,7,10,11,12,13],[2,5,6,8,10,13,14],[2,5,7,8,9,10,11],[2,6,7,8,9,12,14],[3,4,5,9,10,12,13],[3,4,6,7,8,9,12],[3,4,6,9,10,11,14],[3,4,7,8,10,11,14],[3,5,6,7,11,13,14],[3,5,6,8,10,12,13]]; G[1442]:=Group([(1,11)(2,14)(5,10)(6,8)]); # Design 1443: autom. group order 2, simple B[1443]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,11,13,14],[1,3,5,9,10,13,14],[1,4,5,7,12,13,14],[1,4,6,7,9,10,12],[1,4,8,9,11,12,13],[1,5,6,7,8,11,13],[1,5,7,8,10,11,14],[1,6,8,9,10,12,14],[2,3,7,8,12,13,14],[2,4,5,6,10,12,14],[2,4,5,8,9,10,13],[2,4,7,8,10,11,12],[2,5,6,9,11,12,13],[2,5,7,9,10,11,14],[2,6,7,8,9,13,14],[3,4,5,8,11,12,14],[3,4,6,7,8,9,14],[3,4,6,10,11,13,14],[3,4,7,9,10,11,13],[3,5,6,7,9,11,12],[3,5,6,8,10,12,13]]; G[1443]:=Group([(1,10)(2,13)(5,11)(6,9)(8,14)]); # Design 1444: autom. group order 2, simple, residual B[1444]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,12,13],[1,2,4,6,11,12,14],[1,3,5,9,11,13,14],[1,4,5,7,10,11,13],[1,4,6,7,9,10,12],[1,4,8,10,11,12,14],[1,5,6,7,8,11,13],[1,5,7,8,9,12,14],[1,6,8,9,10,13,14],[2,3,7,8,10,11,14],[2,4,5,6,10,13,14],[2,4,5,8,12,13,14],[2,4,7,8,9,10,13],[2,5,6,8,9,11,12],[2,5,7,9,10,11,12],[2,6,7,9,11,13,14],[3,4,5,9,10,11,14],[3,4,6,7,8,9,14],[3,4,6,9,11,12,13],[3,4,7,8,11,12,13],[3,5,6,7,10,12,14],[3,5,6,8,10,12,13]]; G[1444]:=Group([(1,13)(2,12)(5,11)(6,8)]); # Design 1445: autom. group order 2, simple, residual B[1445]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,11,13,14],[1,3,5,9,10,13,14],[1,4,5,7,10,11,12],[1,4,6,7,8,12,13],[1,4,8,9,11,12,13],[1,5,6,7,9,13,14],[1,5,7,8,10,11,14],[1,6,8,9,10,12,14],[2,3,7,8,12,13,14],[2,4,5,6,10,12,14],[2,4,5,8,9,10,13],[2,4,7,9,10,12,14],[2,5,6,9,11,12,13],[2,5,7,8,11,13,14],[2,6,7,8,9,10,11],[3,4,5,8,11,12,14],[3,4,6,7,8,9,14],[3,4,6,10,11,13,14],[3,4,7,9,10,11,13],[3,5,6,7,9,11,12],[3,5,6,8,10,12,13]]; G[1445]:=Group([(1,10)(2,13)(5,11)(6,9)(8,14)]); # Design 1446: autom. group order 2, simple B[1446]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,10,12,14],[1,3,5,8,11,12,14],[1,4,5,7,10,11,13],[1,4,6,7,12,13,14],[1,4,8,9,10,13,14],[1,5,6,7,8,9,14],[1,5,9,10,11,12,13],[1,6,7,8,9,11,12],[2,3,7,9,12,13,14],[2,4,5,6,9,11,13],[2,4,5,8,11,12,14],[2,4,7,8,11,12,13],[2,5,6,8,10,13,14],[2,5,7,9,10,12,14],[2,6,7,8,9,10,11],[3,4,5,7,9,10,12],[3,4,6,8,9,12,13],[3,4,6,9,10,11,14],[3,4,7,8,10,11,14],[3,5,6,7,11,13,14],[3,5,6,8,10,12,13]]; G[1446]:=Group([(1,11)(2,14)(5,10)(6,8)]); # Design 1447: autom. group order 2, simple, residual B[1447]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,10,12,14],[1,3,5,8,11,12,14],[1,4,5,7,12,13,14],[1,4,6,7,8,11,13],[1,4,8,9,10,13,14],[1,5,6,7,9,10,14],[1,5,9,10,11,12,13],[1,6,7,8,9,11,12],[2,3,7,9,12,13,14],[2,4,5,6,9,11,13],[2,4,5,8,11,12,14],[2,4,7,10,11,12,13],[2,5,6,8,10,13,14],[2,5,7,8,9,10,11],[2,6,7,8,9,12,14],[3,4,5,7,9,10,12],[3,4,6,8,9,12,13],[3,4,6,9,10,11,14],[3,4,7,8,10,11,14],[3,5,6,7,11,13,14],[3,5,6,8,10,12,13]]; G[1447]:=Group([(1,11)(2,14)(5,10)(6,8)]); # Design 1448: autom. group order 2, simple, residual B[1448]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,11,13,14],[1,3,5,9,10,13,14],[1,4,5,7,12,13,14],[1,4,6,7,9,10,12],[1,4,8,9,11,12,13],[1,5,6,7,8,11,13],[1,5,8,10,11,12,14],[1,6,7,8,9,10,14],[2,3,7,8,12,13,14],[2,4,5,6,10,12,14],[2,4,5,8,9,10,13],[2,4,7,8,10,11,12],[2,5,6,9,11,12,13],[2,5,7,9,10,11,14],[2,6,7,8,9,13,14],[3,4,5,7,8,11,14],[3,4,6,8,9,12,14],[3,4,6,10,11,13,14],[3,4,7,9,10,11,13],[3,5,6,7,9,11,12],[3,5,6,8,10,12,13]]; G[1448]:=Group([(1,10)(2,13)(5,11)(6,9)(8,14)]); # Design 1449: autom. group order 2, simple B[1449]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,11,13,14],[1,3,5,9,10,13,14],[1,4,5,7,10,11,12],[1,4,6,7,8,12,13],[1,4,8,9,11,12,13],[1,5,6,7,9,13,14],[1,5,8,10,11,12,14],[1,6,7,8,9,10,14],[2,3,7,8,12,13,14],[2,4,5,6,10,12,14],[2,4,5,8,9,10,13],[2,4,7,9,10,12,14],[2,5,6,9,11,12,13],[2,5,7,8,11,13,14],[2,6,7,8,9,10,11],[3,4,5,7,8,11,14],[3,4,6,8,9,12,14],[3,4,6,10,11,13,14],[3,4,7,9,10,11,13],[3,5,6,7,9,11,12],[3,5,6,8,10,12,13]]; G[1449]:=Group([(1,10)(2,13)(5,11)(6,9)(8,14)]); # Design 1450: autom. group order 2, simple B[1450]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,6,9,13,14],[1,3,5,9,10,11,14],[1,4,5,7,9,11,12],[1,4,6,7,8,10,12],[1,4,8,9,10,13,14],[1,5,6,11,12,13,14],[1,5,7,8,12,13,14],[1,6,7,8,9,10,11],[2,3,7,8,9,12,14],[2,4,5,6,8,11,14],[2,4,5,7,10,12,13],[2,4,9,10,11,12,13],[2,5,6,9,10,12,14],[2,5,7,8,10,11,14],[2,6,7,8,9,11,13],[3,4,5,8,10,11,13],[3,4,6,7,11,13,14],[3,4,6,8,10,12,14],[3,4,7,9,11,12,14],[3,5,6,7,9,10,13],[3,5,6,8,9,12,13]]; G[1450]:=Group([(2,13)(3,14)(4,12)(6,8)(9,11)]); # Design 1451: autom. group order 2, simple, residual B[1451]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,12,13],[1,2,4,6,9,11,14],[1,3,5,10,11,12,14],[1,4,5,7,8,12,13],[1,4,6,7,10,11,13],[1,4,8,10,11,13,14],[1,5,6,8,9,13,14],[1,5,7,9,10,11,12],[1,6,7,8,9,12,14],[2,3,7,8,11,13,14],[2,4,5,6,10,12,14],[2,4,5,8,11,12,13],[2,4,7,9,11,12,14],[2,5,6,7,10,13,14],[2,5,7,8,9,10,11],[2,6,8,9,10,12,13],[3,4,5,9,10,13,14],[3,4,6,7,8,10,12],[3,4,6,9,11,12,13],[3,4,7,8,9,10,14],[3,5,6,7,9,11,13],[3,5,6,8,11,12,14]]; G[1451]:=Group([(2,11)(3,10)(5,13)(9,14)]); # Design 1452: autom. group order 2, simple, residual B[1452]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,10,11,13,14],[1,4,5,7,9,11,13],[1,4,6,7,10,12,14],[1,4,8,9,10,11,12],[1,5,6,8,11,13,14],[1,5,7,8,9,10,12],[1,6,7,8,9,13,14],[2,3,7,8,9,11,14],[2,4,5,6,9,10,13],[2,4,5,8,12,13,14],[2,4,7,8,10,13,14],[2,5,6,7,8,11,12],[2,5,9,10,11,12,14],[2,6,7,9,10,11,13],[3,4,5,7,10,11,14],[3,4,6,8,9,10,14],[3,4,6,9,11,12,13],[3,4,7,8,11,12,13],[3,5,6,7,9,12,14],[3,5,6,8,10,12,13]]; G[1452]:=Group([(1,13)(2,12)(5,11)(6,8)]); # Design 1453: autom. group order 2, simple B[1453]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,11],[1,2,3,9,12,13,14],[1,2,4,6,10,13,14],[1,3,5,8,11,13,14],[1,4,5,7,10,12,13],[1,4,6,7,8,12,14],[1,4,8,9,10,12,13],[1,5,6,9,11,12,14],[1,5,7,9,10,11,14],[1,6,7,8,9,11,13],[2,3,7,9,12,13,14],[2,4,5,6,9,11,12],[2,4,5,8,11,13,14],[2,4,7,9,10,11,14],[2,5,6,8,9,10,13],[2,5,7,8,10,12,14],[2,6,7,8,11,12,13],[3,4,5,7,11,12,13],[3,4,6,7,8,9,14],[3,4,6,10,11,13,14],[3,4,8,9,10,11,12],[3,5,6,7,9,10,13],[3,5,6,8,10,12,14]]; G[1453]:=Group([(2,3)(4,11)(5,10)(6,8)(9,12)(13,14)]); # Design 1454: autom. group order 2, simple B[1454]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,11],[1,2,3,9,12,13,14],[1,2,4,6,10,13,14],[1,3,5,8,11,13,14],[1,4,5,7,10,12,13],[1,4,6,7,8,12,14],[1,4,8,9,10,12,14],[1,5,6,9,11,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,11,13],[2,3,7,9,12,13,14],[2,4,5,6,9,11,12],[2,4,5,8,11,13,14],[2,4,7,9,10,11,13],[2,5,6,8,9,10,14],[2,5,7,8,10,12,13],[2,6,7,8,11,12,14],[3,4,5,7,11,12,14],[3,4,6,7,8,9,13],[3,4,6,10,11,13,14],[3,4,8,9,10,11,12],[3,5,6,7,9,10,14],[3,5,6,8,10,12,13]]; G[1454]:=Group([(2,3)(4,11)(5,10)(6,8)(9,12)(13,14)]); # Design 1455: autom. group order 2, simple B[1455]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,11],[1,2,3,9,12,13,14],[1,2,4,6,10,13,14],[1,3,5,8,11,13,14],[1,4,5,7,10,12,13],[1,4,6,7,8,12,14],[1,4,8,9,10,12,13],[1,5,6,9,11,12,14],[1,5,7,9,10,11,14],[1,6,7,8,9,11,13],[2,3,7,9,12,13,14],[2,4,5,6,11,13,14],[2,4,5,8,9,11,12],[2,4,7,9,10,11,14],[2,5,6,8,9,10,13],[2,5,7,8,10,12,14],[2,6,7,8,11,12,13],[3,4,5,7,11,12,13],[3,4,6,7,8,9,14],[3,4,6,9,10,11,12],[3,4,8,10,11,13,14],[3,5,6,7,9,10,13],[3,5,6,8,10,12,14]]; G[1455]:=Group([(2,3)(4,11)(5,10)(6,8)(9,12)(13,14)]); # Design 1456: autom. group order 2, simple B[1456]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,11],[1,2,3,9,12,13,14],[1,2,4,6,10,13,14],[1,3,5,8,11,13,14],[1,4,5,7,10,12,13],[1,4,6,7,8,12,14],[1,4,8,9,10,12,14],[1,5,6,9,11,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,11,13],[2,3,7,9,12,13,14],[2,4,5,6,11,13,14],[2,4,5,8,9,11,12],[2,4,7,9,10,11,13],[2,5,6,8,9,10,14],[2,5,7,8,10,12,13],[2,6,7,8,11,12,14],[3,4,5,7,11,12,14],[3,4,6,7,8,9,13],[3,4,6,9,10,11,12],[3,4,8,10,11,13,14],[3,5,6,7,9,10,14],[3,5,6,8,10,12,13]]; G[1456]:=Group([(2,3)(4,11)(5,10)(6,8)(9,12)(13,14)]); # Design 1457: autom. group order 2, simple B[1457]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,11],[1,2,3,9,12,13,14],[1,2,4,6,10,13,14],[1,3,5,8,11,13,14],[1,4,5,7,10,12,13],[1,4,6,7,8,12,14],[1,4,8,9,10,12,13],[1,5,6,9,11,12,14],[1,5,7,9,10,11,14],[1,6,7,8,9,11,13],[2,3,7,9,12,13,14],[2,4,5,6,9,11,12],[2,4,5,8,11,13,14],[2,4,7,8,11,12,14],[2,5,6,8,9,10,13],[2,5,7,10,11,12,13],[2,6,7,8,9,10,14],[3,4,5,7,9,10,14],[3,4,6,7,9,11,13],[3,4,6,10,11,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,12,13],[3,5,6,8,10,12,14]]; G[1457]:=Group([(2,3)(4,11)(5,10)(6,8)(9,12)(13,14)]); # Design 1458: autom. group order 2, simple B[1458]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,11],[1,2,3,9,12,13,14],[1,2,4,6,10,13,14],[1,3,5,8,11,13,14],[1,4,5,7,10,12,13],[1,4,6,7,8,12,14],[1,4,8,9,10,12,14],[1,5,6,9,11,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,11,13],[2,3,7,9,12,13,14],[2,4,5,6,9,11,12],[2,4,5,8,11,13,14],[2,4,7,8,11,12,13],[2,5,6,8,9,10,14],[2,5,7,10,11,12,14],[2,6,7,8,9,10,13],[3,4,5,7,9,10,13],[3,4,6,7,9,11,14],[3,4,6,10,11,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,12,14],[3,5,6,8,10,12,13]]; G[1458]:=Group([(2,3)(4,11)(5,10)(6,8)(9,12)(13,14)]); # Design 1459: autom. group order 2, simple B[1459]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,11],[1,2,3,9,12,13,14],[1,2,4,6,10,13,14],[1,3,5,8,11,13,14],[1,4,5,7,10,12,13],[1,4,6,7,8,12,14],[1,4,8,9,10,12,13],[1,5,6,9,11,12,14],[1,5,7,9,10,11,14],[1,6,7,8,9,11,13],[2,3,7,9,12,13,14],[2,4,5,6,11,13,14],[2,4,5,8,9,11,12],[2,4,7,8,11,12,14],[2,5,6,8,9,10,13],[2,5,7,10,11,12,13],[2,6,7,8,9,10,14],[3,4,5,7,9,10,14],[3,4,6,7,9,11,13],[3,4,6,9,10,11,12],[3,4,8,10,11,13,14],[3,5,6,7,8,12,13],[3,5,6,8,10,12,14]]; G[1459]:=Group([(2,3)(4,11)(5,10)(6,8)(9,12)(13,14)]); # Design 1460: autom. group order 2, simple B[1460]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,11],[1,2,3,9,12,13,14],[1,2,4,6,10,13,14],[1,3,5,8,11,13,14],[1,4,5,7,10,12,13],[1,4,6,7,8,12,14],[1,4,8,9,10,12,14],[1,5,6,9,11,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,11,13],[2,3,7,9,12,13,14],[2,4,5,6,11,13,14],[2,4,5,8,9,11,12],[2,4,7,8,11,12,13],[2,5,6,8,9,10,14],[2,5,7,10,11,12,14],[2,6,7,8,9,10,13],[3,4,5,7,9,10,13],[3,4,6,7,9,11,14],[3,4,6,9,10,11,12],[3,4,8,10,11,13,14],[3,5,6,7,8,12,14],[3,5,6,8,10,12,13]]; G[1460]:=Group([(2,3)(4,11)(5,10)(6,8)(9,12)(13,14)]); # Design 1461: autom. group order 2, simple, residual B[1461]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,11,12,14],[1,2,4,6,10,13,14],[1,3,5,11,12,13,14],[1,4,5,7,8,10,12],[1,4,6,8,9,11,12],[1,4,7,8,11,13,14],[1,5,6,7,9,11,13],[1,5,7,9,10,12,14],[1,6,8,9,10,13,14],[2,3,7,8,9,13,14],[2,4,5,6,12,13,14],[2,4,5,9,10,11,13],[2,4,7,8,11,12,14],[2,5,6,8,9,12,14],[2,5,7,8,10,11,13],[2,6,7,9,10,11,12],[3,4,5,9,10,11,14],[3,4,6,7,9,11,14],[3,4,6,7,10,12,13],[3,4,8,9,10,12,13],[3,5,6,7,8,10,14],[3,5,6,8,11,12,13]]; G[1461]:=Group([(1,12)(2,13)(5,10)]); # Design 1462: autom. group order 2, simple, residual B[1462]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,12,13,14],[1,3,5,9,10,12,14],[1,4,5,7,8,11,14],[1,4,6,8,9,10,12],[1,4,7,9,10,11,13],[1,5,6,7,12,13,14],[1,5,8,10,11,13,14],[1,6,7,8,9,11,12],[2,3,7,8,11,12,14],[2,4,5,6,10,11,14],[2,4,5,9,11,12,13],[2,4,7,8,10,12,14],[2,5,6,7,8,9,13],[2,5,7,9,10,11,12],[2,6,8,9,10,13,14],[3,4,5,8,10,12,13],[3,4,6,7,10,11,13],[3,4,6,8,9,11,14],[3,4,7,9,12,13,14],[3,5,6,7,9,10,14],[3,5,6,8,11,12,13]]; G[1462]:=Group([(1,9)(2,14)(4,10)(8,12)]); # Design 1463: autom. group order 2, simple, residual B[1463]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,12,13,14],[1,3,5,9,10,13,14],[1,4,5,7,8,11,14],[1,4,6,8,9,10,13],[1,4,7,9,10,11,12],[1,5,6,7,12,13,14],[1,5,8,10,11,12,14],[1,6,7,8,9,11,13],[2,3,7,8,11,13,14],[2,4,5,6,10,11,14],[2,4,5,9,11,12,13],[2,4,7,8,10,13,14],[2,5,6,7,8,9,12],[2,5,7,9,10,11,13],[2,6,8,9,10,12,14],[3,4,5,8,10,12,13],[3,4,6,7,10,11,12],[3,4,6,9,11,13,14],[3,4,7,8,9,12,14],[3,5,6,7,9,10,14],[3,5,6,8,11,12,13]]; G[1463]:=Group([(1,9)(2,14)(4,10)(8,13)]); # Design 1464: autom. group order 2, simple, residual B[1464]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,11,13,14],[1,3,5,8,12,13,14],[1,4,5,7,9,10,12],[1,4,6,8,9,10,13],[1,4,7,8,11,12,14],[1,5,6,7,10,11,14],[1,5,9,10,11,13,14],[1,6,7,8,9,12,13],[2,3,7,9,10,13,14],[2,4,5,6,12,13,14],[2,4,5,9,10,11,12],[2,4,7,8,10,11,13],[2,5,6,7,8,9,14],[2,5,7,8,11,12,13],[2,6,8,9,10,12,14],[3,4,5,8,10,13,14],[3,4,6,7,10,12,14],[3,4,6,9,11,12,13],[3,4,7,8,9,11,14],[3,5,6,7,9,11,13],[3,5,6,8,10,11,12]]; G[1464]:=Group([(2,11)(3,14)(4,10)(8,13)]); # Design 1465: autom. group order 2, simple, residual B[1465]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,9,12,14],[1,3,5,11,12,13,14],[1,4,5,7,10,12,13],[1,4,6,8,10,11,13],[1,4,7,8,9,12,14],[1,5,6,7,8,11,12],[1,5,8,9,10,11,14],[1,6,7,9,10,13,14],[2,3,7,8,10,12,14],[2,4,5,6,10,11,14],[2,4,5,8,10,13,14],[2,4,7,11,12,13,14],[2,5,6,8,9,12,13],[2,5,7,9,10,11,12],[2,6,7,8,9,11,13],[3,4,5,7,9,11,13],[3,4,6,7,8,11,14],[3,4,6,9,10,12,13],[3,4,8,9,10,11,12],[3,5,6,7,9,10,14],[3,5,6,8,12,13,14]]; G[1465]:=Group([(2,9)(3,14)(5,12)(6,8)]); # Design 1466: autom. group order 2, simple, residual B[1466]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,9,12,14],[1,3,5,11,12,13,14],[1,4,5,7,10,12,13],[1,4,6,8,10,11,13],[1,4,7,8,9,12,14],[1,5,6,7,8,11,12],[1,5,8,9,10,11,14],[1,6,7,9,10,13,14],[2,3,7,8,10,12,14],[2,4,5,6,10,13,14],[2,4,5,8,10,11,14],[2,4,7,11,12,13,14],[2,5,6,8,9,12,13],[2,5,7,9,10,11,12],[2,6,7,8,9,11,13],[3,4,5,7,9,11,13],[3,4,6,7,8,11,14],[3,4,6,9,10,11,12],[3,4,8,9,10,12,13],[3,5,6,7,9,10,14],[3,5,6,8,12,13,14]]; G[1466]:=Group([(2,9)(3,14)(5,12)(6,8)]); # Design 1467: autom. group order 2, simple, residual B[1467]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,12,13],[1,2,4,6,11,12,14],[1,3,5,10,11,13,14],[1,4,5,7,9,11,13],[1,4,6,9,10,12,14],[1,4,7,8,10,11,12],[1,5,6,8,11,13,14],[1,5,7,8,9,10,12],[1,6,7,8,9,13,14],[2,3,7,8,9,11,14],[2,4,5,6,7,10,13],[2,4,5,8,12,13,14],[2,4,8,9,10,13,14],[2,5,6,8,9,11,12],[2,5,7,10,11,12,14],[2,6,7,9,10,11,13],[3,4,5,9,10,11,14],[3,4,6,7,8,10,14],[3,4,6,9,11,12,13],[3,4,7,8,11,12,13],[3,5,6,7,9,12,14],[3,5,6,8,10,12,13]]; G[1467]:=Group([(1,13)(2,12)(5,11)(6,8)]); # Design 1468: autom. group order 2, simple, residual B[1468]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,8,12,14],[1,3,5,9,10,12,14],[1,4,5,7,9,11,13],[1,4,6,9,10,12,13],[1,4,7,10,12,13,14],[1,5,6,8,11,13,14],[1,5,7,8,10,11,12],[1,6,7,8,9,11,14],[2,3,7,11,12,13,14],[2,4,5,6,11,12,13],[2,4,5,7,10,11,14],[2,4,7,8,9,12,14],[2,5,6,9,10,13,14],[2,5,8,9,10,11,12],[2,6,7,8,9,10,13],[3,4,5,8,10,13,14],[3,4,6,7,9,10,11],[3,4,6,8,10,11,14],[3,4,8,9,11,12,13],[3,5,6,7,8,12,13],[3,5,6,7,9,12,14]]; G[1468]:=Group([(2,12)(3,10)(5,13)(7,9)(8,14)]); # Design 1469: autom. group order 2, simple, residual B[1469]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,6,9,11,14],[1,3,5,8,9,13,14],[1,4,5,7,10,11,13],[1,4,6,9,10,12,13],[1,4,7,8,10,12,14],[1,5,6,8,10,12,14],[1,5,7,9,11,12,13],[1,6,7,8,9,11,14],[2,3,7,9,10,12,14],[2,4,5,6,12,13,14],[2,4,5,8,10,11,14],[2,4,7,8,9,10,13],[2,5,6,7,8,12,13],[2,5,7,9,11,12,14],[2,6,8,9,10,11,13],[3,4,5,9,10,11,12],[3,4,6,7,8,9,12],[3,4,6,7,11,13,14],[3,4,8,11,12,13,14],[3,5,6,7,8,10,11],[3,5,6,9,10,13,14]]; G[1469]:=Group([(1,13)(2,14)(5,11)(9,12)]); # Design 1470: autom. group order 2, simple, residual B[1470]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,3,9,10,11,13],[1,2,4,6,10,12,14],[1,3,5,8,12,13,14],[1,4,5,7,9,11,12],[1,4,6,9,12,13,14],[1,4,7,8,9,10,11],[1,5,6,8,10,11,14],[1,5,7,10,11,13,14],[1,6,7,8,9,12,13],[2,3,7,9,11,12,14],[2,4,5,6,8,11,13],[2,4,5,9,10,13,14],[2,4,7,8,10,12,14],[2,5,6,7,11,12,13],[2,5,8,9,11,12,14],[2,6,7,8,9,10,13],[3,4,5,7,10,12,13],[3,4,6,7,8,11,14],[3,4,6,9,11,13,14],[3,4,8,10,11,12,13],[3,5,6,7,9,10,14],[3,5,6,8,9,10,12]]; G[1470]:=Group([(2,10)(3,11)(4,14)(7,8)(9,13)]); # Design 1471: autom. group order 2, simple, residual B[1471]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,3,9,10,11,13],[1,2,4,6,10,12,14],[1,3,5,11,12,13,14],[1,4,5,7,11,12,14],[1,4,6,8,9,12,13],[1,4,8,9,10,11,14],[1,5,6,7,8,10,13],[1,5,7,9,10,12,13],[1,6,7,8,9,11,14],[2,3,7,8,9,12,14],[2,4,5,6,9,13,14],[2,4,5,8,11,12,13],[2,4,7,9,10,11,13],[2,5,6,8,10,11,14],[2,5,7,9,10,12,14],[2,6,7,8,11,12,13],[3,4,5,7,8,10,11],[3,4,6,7,9,11,12],[3,4,6,7,10,13,14],[3,4,8,10,12,13,14],[3,5,6,8,9,10,12],[3,5,6,9,11,13,14]]; G[1471]:=Group([(1,13)(2,14)(5,10)(9,12)]); # Design 1472: autom. group order 2, simple, residual B[1472]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,11,13,14],[1,3,5,9,12,13,14],[1,4,5,7,9,10,13],[1,4,6,8,9,10,12],[1,4,8,10,11,13,14],[1,5,6,7,8,11,12],[1,5,7,10,11,12,14],[1,6,7,8,9,13,14],[2,3,7,8,10,13,14],[2,4,5,6,12,13,14],[2,4,5,8,10,12,14],[2,4,7,9,10,11,12],[2,5,6,9,10,11,13],[2,5,7,8,9,11,13],[2,6,7,8,9,12,14],[3,4,5,7,8,11,14],[3,4,6,7,9,10,14],[3,4,6,7,11,12,13],[3,4,8,9,11,12,13],[3,5,6,8,10,12,13],[3,5,6,9,10,11,14]]; G[1472]:=Group([(1,12)(2,13)(5,11)]); # Design 1473: autom. group order 2, simple, residual B[1473]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,12,13],[1,2,4,6,11,12,14],[1,3,5,9,10,11,14],[1,4,5,10,11,13,14],[1,4,6,7,8,9,13],[1,4,7,8,10,11,13],[1,5,6,7,8,12,14],[1,5,7,9,11,12,13],[1,6,8,9,10,12,14],[2,3,7,8,11,13,14],[2,4,5,6,10,13,14],[2,4,5,8,9,11,12],[2,4,7,9,10,12,14],[2,5,6,7,9,10,13],[2,5,7,8,10,11,12],[2,6,8,9,11,13,14],[3,4,5,8,12,13,14],[3,4,6,7,10,11,12],[3,4,6,9,11,12,13],[3,4,7,8,9,10,14],[3,5,6,7,9,11,14],[3,5,6,8,10,12,13]]; G[1473]:=Group([(1,11)(3,8)(4,14)(5,13)(7,9)]); # Design 1474: autom. group order 2, simple, residual B[1474]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,11,14],[1,3,5,9,10,12,14],[1,4,5,8,9,12,13],[1,4,6,7,12,13,14],[1,4,7,9,10,11,14],[1,5,6,7,8,10,13],[1,5,7,8,10,11,14],[1,6,8,9,11,12,13],[2,3,7,8,9,13,14],[2,4,5,6,10,13,14],[2,4,5,10,11,12,13],[2,4,7,8,9,10,12],[2,5,6,7,9,11,12],[2,5,7,8,11,12,14],[2,6,8,9,10,13,14],[3,4,5,8,11,13,14],[3,4,6,7,8,12,14],[3,4,6,8,10,11,12],[3,4,7,9,10,11,13],[3,5,6,7,9,11,13],[3,5,6,9,10,12,14]]; G[1474]:=Group([(2,13)(3,12)(4,8)(5,9)(7,11)(10,14)]); # Design 1475: autom. group order 2, simple, residual B[1475]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,12,13,14],[1,2,4,6,11,12,14],[1,3,5,9,11,13,14],[1,4,5,8,11,12,14],[1,4,6,7,8,10,13],[1,4,7,9,10,11,12],[1,5,6,7,11,13,14],[1,5,7,8,9,10,12],[1,6,8,9,10,13,14],[2,3,7,8,10,11,14],[2,4,5,6,10,12,13],[2,4,5,9,10,13,14],[2,4,7,9,10,11,14],[2,5,6,7,8,9,14],[2,5,7,8,11,12,13],[2,6,8,9,11,12,13],[3,4,5,8,10,11,13],[3,4,6,7,9,11,13],[3,4,6,8,9,12,14],[3,4,7,8,12,13,14],[3,5,6,7,10,12,14],[3,5,6,9,10,11,12]]; G[1475]:=Group([(1,12)(3,13)(4,11)(5,8)(7,9)]); # Design 1476: autom. group order 2, simple, residual B[1476]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,12,13,14],[1,2,4,6,11,12,14],[1,3,5,9,11,13,14],[1,4,5,8,11,12,14],[1,4,6,7,8,13,14],[1,4,7,9,10,11,12],[1,5,6,7,10,11,13],[1,5,7,8,9,10,12],[1,6,8,9,10,13,14],[2,3,7,8,10,11,14],[2,4,5,6,10,12,13],[2,4,5,9,10,13,14],[2,4,7,9,10,11,14],[2,5,6,7,8,9,14],[2,5,7,8,11,12,13],[2,6,8,9,11,12,13],[3,4,5,8,10,11,13],[3,4,6,7,9,11,13],[3,4,6,8,9,10,12],[3,4,7,8,12,13,14],[3,5,6,7,10,12,14],[3,5,6,9,11,12,14]]; G[1476]:=Group([(1,12)(3,13)(4,11)(5,8)(7,9)]); # Design 1477: autom. group order 2, simple B[1477]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,12,13,14],[1,3,5,8,11,13,14],[1,4,5,10,11,13,14],[1,4,6,7,8,9,10],[1,4,7,9,10,11,14],[1,5,6,7,9,12,13],[1,5,7,8,10,12,14],[1,6,8,9,11,12,13],[2,3,7,9,10,13,14],[2,4,5,6,10,11,13],[2,4,5,8,9,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,14],[2,5,7,8,10,11,12],[2,6,8,9,10,13,14],[3,4,5,9,10,12,13],[3,4,6,7,11,12,14],[3,4,6,8,10,12,14],[3,4,7,8,9,11,13],[3,5,6,7,8,13,14],[3,5,6,9,10,11,12]]; G[1477]:=Group([(1,14)(3,9)(4,13)(5,10)(7,8)]); # Design 1478: autom. group order 2, simple, residual B[1478]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,11,12,13,14],[1,2,4,6,9,10,14],[1,3,5,9,11,13,14],[1,4,5,8,9,11,12],[1,4,6,7,8,13,14],[1,4,7,10,11,12,13],[1,5,6,7,8,11,12],[1,5,7,9,10,13,14],[1,6,8,9,10,12,14],[2,3,7,8,9,12,14],[2,4,5,6,11,13,14],[2,4,5,8,10,12,13],[2,4,7,9,11,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[2,6,7,8,9,11,13],[3,4,5,7,10,12,14],[3,4,6,7,9,12,13],[3,4,6,8,10,11,14],[3,4,8,9,10,11,13],[3,5,6,7,9,10,11],[3,5,6,8,12,13,14]]; G[1478]:=Group([(2,12)(3,11)(4,8)]); # Design 1479: autom. group order 2, simple, residual B[1479]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,6,9,11,14],[1,3,5,9,10,13,14],[1,4,5,8,9,10,12],[1,4,6,7,8,13,14],[1,4,7,8,10,11,12],[1,5,6,7,11,12,14],[1,5,9,11,12,13,14],[1,6,7,8,9,10,13],[2,3,7,8,9,12,14],[2,4,5,6,10,12,13],[2,4,5,8,11,13,14],[2,4,7,9,10,11,14],[2,5,6,7,9,12,13],[2,5,7,8,10,11,13],[2,6,8,9,10,12,14],[3,4,5,7,10,12,14],[3,4,6,8,12,13,14],[3,4,6,9,10,11,13],[3,4,7,9,11,12,13],[3,5,6,7,8,9,11],[3,5,6,8,10,11,14]]; G[1479]:=Group([(2,11)(3,12)(4,14)(8,13)]); # Design 1480: autom. group order 2, simple, residual B[1480]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,6,9,11,14],[1,3,5,9,10,13,14],[1,4,5,8,9,10,12],[1,4,6,7,8,13,14],[1,4,7,8,10,11,12],[1,5,6,7,11,12,14],[1,5,9,11,12,13,14],[1,6,7,8,9,10,13],[2,3,7,8,9,12,14],[2,4,5,6,10,12,13],[2,4,5,8,11,13,14],[2,4,7,9,10,11,14],[2,5,6,7,9,12,13],[2,5,7,8,10,12,14],[2,6,8,9,10,11,13],[3,4,5,7,10,11,13],[3,4,6,8,12,13,14],[3,4,6,9,10,12,14],[3,4,7,9,11,12,13],[3,5,6,7,8,9,11],[3,5,6,8,10,11,14]]; G[1480]:=Group([(2,11)(3,12)(4,14)(8,13)]); # Design 1481: autom. group order 2, simple, residual B[1481]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,6,9,11,14],[1,3,5,8,9,10,14],[1,4,5,9,10,12,13],[1,4,6,7,8,13,14],[1,4,7,8,10,11,12],[1,5,6,7,11,12,14],[1,5,9,11,12,13,14],[1,6,7,8,9,10,13],[2,3,7,9,12,13,14],[2,4,5,6,10,12,13],[2,4,5,8,11,13,14],[2,4,7,9,10,11,14],[2,5,6,7,8,9,12],[2,5,7,8,10,11,13],[2,6,8,9,10,12,14],[3,4,5,7,10,12,14],[3,4,6,8,12,13,14],[3,4,6,9,10,11,13],[3,4,7,8,9,11,12],[3,5,6,7,9,11,13],[3,5,6,8,10,11,14]]; G[1481]:=Group([(2,11)(3,12)(4,14)(8,13)]); # Design 1482: autom. group order 2, simple, residual B[1482]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,6,9,11,14],[1,3,5,8,9,10,14],[1,4,5,9,10,12,13],[1,4,6,7,8,13,14],[1,4,7,8,10,11,12],[1,5,6,7,11,12,14],[1,5,9,11,12,13,14],[1,6,7,8,9,10,13],[2,3,7,9,12,13,14],[2,4,5,6,10,12,13],[2,4,5,8,11,13,14],[2,4,7,9,10,11,14],[2,5,6,7,8,9,12],[2,5,7,8,10,12,14],[2,6,8,9,10,11,13],[3,4,5,7,10,11,13],[3,4,6,8,12,13,14],[3,4,6,9,10,12,14],[3,4,7,8,9,11,12],[3,5,6,7,9,11,13],[3,5,6,8,10,11,14]]; G[1482]:=Group([(2,11)(3,12)(4,14)(8,13)]); # Design 1483: autom. group order 2, simple, residual B[1483]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,11,13,14],[1,3,5,8,12,13,14],[1,4,5,8,9,10,13],[1,4,6,7,9,10,12],[1,4,7,8,11,12,14],[1,5,6,7,10,11,14],[1,5,9,10,11,13,14],[1,6,7,8,9,12,13],[2,3,7,9,10,13,14],[2,4,5,6,12,13,14],[2,4,5,9,10,11,12],[2,4,7,8,10,11,13],[2,5,6,7,8,9,14],[2,5,7,8,10,12,14],[2,6,8,9,11,12,13],[3,4,5,7,11,12,13],[3,4,6,8,10,13,14],[3,4,6,9,10,12,14],[3,4,7,8,9,11,14],[3,5,6,7,9,11,13],[3,5,6,8,10,11,12]]; G[1483]:=Group([(2,11)(3,14)(4,10)(8,13)]); # Design 1484: autom. group order 2, simple B[1484]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,11,13,14],[1,3,5,8,12,13,14],[1,4,5,8,9,10,13],[1,4,6,7,9,10,12],[1,4,7,8,11,12,14],[1,5,6,7,10,11,14],[1,5,9,10,11,13,14],[1,6,7,8,9,12,13],[2,3,7,9,10,13,14],[2,4,5,6,12,13,14],[2,4,5,9,10,11,12],[2,4,7,8,10,11,13],[2,5,6,7,8,9,14],[2,5,7,8,11,12,13],[2,6,8,9,10,12,14],[3,4,5,7,10,12,14],[3,4,6,8,10,13,14],[3,4,6,9,11,12,13],[3,4,7,8,9,11,14],[3,5,6,7,9,11,13],[3,5,6,8,10,11,12]]; G[1484]:=Group([(2,11)(3,14)(4,10)(8,13)]); # Design 1485: autom. group order 2, simple, residual B[1485]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,12,13],[1,2,4,6,11,12,14],[1,3,5,10,11,13,14],[1,4,5,8,11,12,14],[1,4,6,7,8,10,13],[1,4,7,9,10,11,12],[1,5,6,9,11,13,14],[1,5,7,8,9,10,12],[1,6,7,8,9,13,14],[2,3,7,8,9,11,14],[2,4,5,6,9,12,13],[2,4,5,7,10,13,14],[2,4,7,9,10,11,14],[2,5,6,8,9,10,14],[2,5,8,10,11,12,13],[2,6,7,8,11,12,13],[3,4,5,7,8,11,13],[3,4,6,8,10,12,14],[3,4,6,9,10,11,13],[3,4,8,9,12,13,14],[3,5,6,7,9,11,12],[3,5,6,7,10,12,14]]; G[1485]:=Group([(1,12)(3,13)(4,11)(5,8)(9,10)]); # Design 1486: autom. group order 2, simple B[1486]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,12,13],[1,2,4,6,11,12,14],[1,3,5,10,11,13,14],[1,4,5,8,11,12,14],[1,4,6,7,8,10,13],[1,4,7,8,9,11,13],[1,5,6,9,11,13,14],[1,5,7,8,9,10,12],[1,6,7,9,10,12,14],[2,3,7,8,9,11,14],[2,4,5,6,9,12,13],[2,4,5,7,10,13,14],[2,4,7,9,10,11,14],[2,5,6,8,9,10,14],[2,5,8,10,11,12,13],[2,6,7,8,11,12,13],[3,4,5,7,10,11,12],[3,4,6,8,10,12,14],[3,4,6,9,10,11,13],[3,4,8,9,12,13,14],[3,5,6,7,8,13,14],[3,5,6,7,9,11,12]]; G[1486]:=Group([(1,12)(3,13)(4,11)(5,8)(9,10)]); # Design 1487: autom. group order 2, simple B[1487]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,11,12],[1,2,4,6,12,13,14],[1,3,5,9,10,13,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,12],[1,4,7,8,10,11,14],[1,5,6,8,9,13,14],[1,5,7,8,11,12,13],[1,6,7,9,10,11,14],[2,3,7,8,11,13,14],[2,4,5,6,10,11,13],[2,4,5,7,9,11,14],[2,4,8,9,10,12,14],[2,5,6,7,10,12,14],[2,5,7,8,9,10,13],[2,6,8,9,11,12,13],[3,4,5,8,11,12,14],[3,4,6,7,8,10,13],[3,4,6,9,11,13,14],[3,4,7,9,10,12,13],[3,5,6,7,9,11,12],[3,5,6,8,10,12,14]]; G[1487]:=Group([(2,11)(3,10)(4,7)(5,14)(6,8)]); # Design 1488: autom. group order 2, simple B[1488]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,11,12],[1,2,4,6,12,13,14],[1,3,5,9,10,13,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,12],[1,4,7,8,10,11,14],[1,5,6,8,9,13,14],[1,5,7,8,11,12,13],[1,6,7,9,10,11,14],[2,3,7,8,11,13,14],[2,4,5,6,10,11,13],[2,4,5,7,9,11,14],[2,4,8,9,10,13,14],[2,5,6,7,10,12,14],[2,5,7,8,9,10,12],[2,6,8,9,11,12,13],[3,4,5,8,11,12,14],[3,4,6,7,8,10,13],[3,4,6,9,11,12,14],[3,4,7,9,10,12,13],[3,5,6,7,9,11,13],[3,5,6,8,10,12,14]]; G[1488]:=Group([(2,11)(3,10)(4,7)(5,14)(6,8)]); # Design 1489: autom. group order 2, simple, residual B[1489]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,11,12],[1,2,4,6,12,13,14],[1,3,5,9,10,13,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,8,10,11,14],[1,5,6,8,9,12,14],[1,5,7,8,11,12,13],[1,6,7,9,10,11,14],[2,3,7,8,11,13,14],[2,4,5,6,10,11,13],[2,4,5,7,9,11,14],[2,4,8,9,10,12,14],[2,5,6,7,10,12,14],[2,5,7,8,9,10,13],[2,6,8,9,11,12,13],[3,4,5,8,11,12,14],[3,4,6,7,8,10,12],[3,4,6,9,11,13,14],[3,4,7,9,10,12,13],[3,5,6,7,9,11,12],[3,5,6,8,10,13,14]]; G[1489]:=Group([(2,11)(3,10)(4,7)(5,14)(6,8)]); # Design 1490: autom. group order 2, simple, residual B[1490]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,11,12],[1,2,4,6,12,13,14],[1,3,5,9,10,13,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,8,10,11,14],[1,5,6,8,9,12,14],[1,5,7,8,11,12,13],[1,6,7,9,10,11,14],[2,3,7,8,11,13,14],[2,4,5,6,10,11,13],[2,4,5,7,9,11,14],[2,4,8,9,10,13,14],[2,5,6,7,10,12,14],[2,5,7,8,9,10,12],[2,6,8,9,11,12,13],[3,4,5,8,11,12,14],[3,4,6,7,8,10,12],[3,4,6,9,11,12,14],[3,4,7,9,10,12,13],[3,5,6,7,9,11,13],[3,5,6,8,10,13,14]]; G[1490]:=Group([(2,11)(3,10)(4,7)(5,14)(6,8)]); # Design 1491: autom. group order 2, simple, residual B[1491]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,11,12,14],[1,2,4,6,12,13,14],[1,3,5,9,10,13,14],[1,4,5,9,10,11,12],[1,4,6,7,8,9,14],[1,4,7,8,10,11,13],[1,5,6,8,12,13,14],[1,5,7,8,11,12,14],[1,6,7,9,10,11,13],[2,3,7,8,11,13,14],[2,4,5,6,10,11,14],[2,4,5,7,11,12,13],[2,4,8,9,10,12,13],[2,5,6,8,9,11,13],[2,5,7,8,9,10,14],[2,6,7,9,10,12,14],[3,4,5,7,10,13,14],[3,4,6,7,8,10,12],[3,4,6,9,11,13,14],[3,4,8,9,11,12,14],[3,5,6,7,9,11,12],[3,5,6,8,10,12,13]]; G[1491]:=Group([(2,11)(3,10)(4,7)(5,13)(6,8)]); # Design 1492: autom. group order 2, simple, residual B[1492]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,11,12,14],[1,2,4,6,12,13,14],[1,3,5,9,10,13,14],[1,4,5,9,10,11,12],[1,4,6,7,8,9,14],[1,4,7,8,10,11,13],[1,5,6,8,12,13,14],[1,5,7,8,11,12,14],[1,6,7,9,10,11,13],[2,3,7,8,11,13,14],[2,4,5,6,10,11,14],[2,4,5,7,11,12,13],[2,4,8,9,10,13,14],[2,5,6,8,9,11,13],[2,5,7,8,9,10,12],[2,6,7,9,10,12,14],[3,4,5,7,10,13,14],[3,4,6,7,8,10,12],[3,4,6,9,11,12,13],[3,4,8,9,11,12,14],[3,5,6,7,9,11,14],[3,5,6,8,10,12,13]]; G[1492]:=Group([(2,11)(3,10)(4,7)(5,13)(6,8)]); # Design 1493: autom. group order 2, simple, residual B[1493]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,11,12],[1,2,4,6,9,13,14],[1,3,5,10,12,13,14],[1,4,5,10,11,12,13],[1,4,6,7,8,12,13],[1,4,7,8,10,11,14],[1,5,6,8,9,12,14],[1,5,7,8,9,11,13],[1,6,7,9,10,11,14],[2,3,7,8,11,13,14],[2,4,5,6,10,11,13],[2,4,5,7,11,12,14],[2,4,8,9,10,13,14],[2,5,6,8,11,12,14],[2,5,7,8,9,10,12],[2,6,7,9,10,12,13],[3,4,5,7,9,10,14],[3,4,6,7,8,10,12],[3,4,6,9,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,9,11,13],[3,5,6,8,10,13,14]]; G[1493]:=Group([(2,11)(3,10)(4,7)(5,14)(6,8)]); # Design 1494: autom. group order 2, simple, residual B[1494]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,11,12],[1,2,4,6,12,13,14],[1,3,5,9,10,13,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,12],[1,4,7,8,10,11,14],[1,5,6,8,9,13,14],[1,5,7,8,11,12,13],[1,6,7,9,10,11,14],[2,3,7,8,11,13,14],[2,4,5,6,10,11,13],[2,4,5,7,9,11,14],[2,4,8,9,10,12,14],[2,5,6,8,11,12,14],[2,5,7,8,9,10,13],[2,6,7,9,10,12,13],[3,4,5,7,10,12,14],[3,4,6,7,8,10,13],[3,4,6,9,11,13,14],[3,4,8,9,11,12,13],[3,5,6,7,9,11,12],[3,5,6,8,10,12,14]]; G[1494]:=Group([(2,11)(3,10)(4,7)(5,14)(6,8)]); # Design 1495: autom. group order 2, simple, residual B[1495]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,11,12],[1,2,4,6,12,13,14],[1,3,5,9,10,13,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,12],[1,4,7,8,10,11,14],[1,5,6,8,9,13,14],[1,5,7,8,11,12,13],[1,6,7,9,10,11,14],[2,3,7,8,11,13,14],[2,4,5,6,10,11,13],[2,4,5,7,9,11,14],[2,4,8,9,10,13,14],[2,5,6,8,11,12,14],[2,5,7,8,9,10,12],[2,6,7,9,10,12,13],[3,4,5,7,10,12,14],[3,4,6,7,8,10,13],[3,4,6,9,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,9,11,13],[3,5,6,8,10,12,14]]; G[1495]:=Group([(2,11)(3,10)(4,7)(5,14)(6,8)]); # Design 1496: autom. group order 2, simple, residual B[1496]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,11,12],[1,2,4,6,12,13,14],[1,3,5,9,10,13,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,8,10,11,14],[1,5,6,8,9,12,14],[1,5,7,8,11,12,13],[1,6,7,9,10,11,14],[2,3,7,8,11,13,14],[2,4,5,6,10,11,13],[2,4,5,7,9,11,14],[2,4,8,9,10,13,14],[2,5,6,8,11,12,14],[2,5,7,8,9,10,12],[2,6,7,9,10,12,13],[3,4,5,7,10,12,14],[3,4,6,7,8,10,12],[3,4,6,9,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,9,11,13],[3,5,6,8,10,13,14]]; G[1496]:=Group([(2,11)(3,10)(4,7)(5,14)(6,8)]); # Design 1497: autom. group order 2, simple, residual B[1497]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,10,12,14],[1,3,5,9,11,12,14],[1,4,5,8,10,13,14],[1,4,6,7,11,12,13],[1,4,8,9,11,12,13],[1,5,6,7,9,13,14],[1,5,7,8,10,11,12],[1,6,7,8,9,10,14],[2,3,7,8,12,13,14],[2,4,5,6,8,11,14],[2,4,5,9,10,12,13],[2,4,7,9,10,11,14],[2,5,6,7,9,12,13],[2,5,7,8,11,12,14],[2,6,8,9,10,11,13],[3,4,5,7,10,11,13],[3,4,6,7,8,9,11],[3,4,6,8,12,13,14],[3,4,7,9,10,12,14],[3,5,6,8,9,10,12],[3,5,6,10,11,13,14]]; G[1497]:=Group([(2,12)(3,11)(5,13)]); # Design 1498: autom. group order 2, simple B[1498]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,12,13,14],[1,2,4,6,11,12,14],[1,3,5,9,11,13,14],[1,4,5,8,11,12,14],[1,4,6,7,8,10,13],[1,4,8,9,10,11,13],[1,5,6,7,11,13,14],[1,5,7,8,9,10,12],[1,6,7,9,10,12,14],[2,3,7,8,10,11,14],[2,4,5,6,10,12,13],[2,4,5,9,10,13,14],[2,4,7,9,10,11,14],[2,5,6,7,8,9,14],[2,5,7,8,11,12,13],[2,6,8,9,11,12,13],[3,4,5,7,10,11,12],[3,4,6,7,9,11,13],[3,4,6,8,9,12,14],[3,4,7,8,12,13,14],[3,5,6,8,10,13,14],[3,5,6,9,10,11,12]]; G[1498]:=Group([(1,12)(3,13)(4,11)(5,8)(7,9)]); # Design 1499: autom. group order 2, simple B[1499]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,12,13,14],[1,2,4,6,11,12,14],[1,3,5,9,11,13,14],[1,4,5,8,11,12,14],[1,4,6,7,8,13,14],[1,4,8,9,10,11,13],[1,5,6,7,10,11,13],[1,5,7,8,9,10,12],[1,6,7,9,10,12,14],[2,3,7,8,10,11,14],[2,4,5,6,10,12,13],[2,4,5,9,10,13,14],[2,4,7,9,10,11,14],[2,5,6,7,8,9,14],[2,5,7,8,11,12,13],[2,6,8,9,11,12,13],[3,4,5,7,10,11,12],[3,4,6,7,9,11,13],[3,4,6,8,9,10,12],[3,4,7,8,12,13,14],[3,5,6,8,10,13,14],[3,5,6,9,11,12,14]]; G[1499]:=Group([(1,12)(3,13)(4,11)(5,8)(7,9)]); # Design 1500: autom. group order 2, simple, residual B[1500]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,9,11,13],[1,2,4,6,11,12,14],[1,3,5,8,10,12,14],[1,4,5,9,10,11,13],[1,4,6,9,12,13,14],[1,4,7,8,11,13,14],[1,5,6,7,8,9,14],[1,5,7,9,10,11,12],[1,6,7,8,10,12,13],[2,3,7,9,12,13,14],[2,4,5,6,7,10,13],[2,4,5,8,10,12,14],[2,4,8,9,10,12,13],[2,5,6,8,11,13,14],[2,5,7,9,11,12,14],[2,6,7,8,9,10,11],[3,4,5,7,11,12,13],[3,4,6,7,8,9,12],[3,4,6,9,10,11,14],[3,4,7,8,10,11,14],[3,5,6,8,11,12,13],[3,5,6,9,10,13,14]]; G[1500]:=Group([(1,10)(2,14)(5,11)(6,8)]); # Design 1501: autom. group order 2, simple B[1501]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,9,11,13],[1,2,4,6,11,12,14],[1,3,5,8,10,12,14],[1,4,5,9,10,11,13],[1,4,6,9,12,13,14],[1,4,7,8,11,13,14],[1,5,6,7,8,9,14],[1,5,7,10,11,12,13],[1,6,7,8,9,10,12],[2,3,7,9,12,13,14],[2,4,5,6,7,10,13],[2,4,5,8,10,12,14],[2,4,8,9,10,12,13],[2,5,6,8,11,13,14],[2,5,7,9,11,12,14],[2,6,7,8,9,10,11],[3,4,5,7,9,11,12],[3,4,6,7,8,12,13],[3,4,6,9,10,11,14],[3,4,7,8,10,11,14],[3,5,6,8,11,12,13],[3,5,6,9,10,13,14]]; G[1501]:=Group([(1,10)(2,14)(5,11)(6,8)]); # Design 1502: autom. group order 2, simple B[1502]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,9,11,13],[1,2,4,6,11,12,14],[1,3,5,8,10,12,14],[1,4,5,9,12,13,14],[1,4,6,8,9,10,13],[1,4,7,8,11,13,14],[1,5,6,7,9,11,14],[1,5,7,9,10,11,12],[1,6,7,8,10,12,13],[2,3,7,9,12,13,14],[2,4,5,6,7,10,13],[2,4,5,8,10,12,14],[2,4,9,10,11,12,13],[2,5,6,8,11,13,14],[2,5,7,8,9,10,11],[2,6,7,8,9,12,14],[3,4,5,7,11,12,13],[3,4,6,7,8,9,12],[3,4,6,9,10,11,14],[3,4,7,8,10,11,14],[3,5,6,8,11,12,13],[3,5,6,9,10,13,14]]; G[1502]:=Group([(1,10)(2,14)(5,11)(6,8)]); # Design 1503: autom. group order 2, simple, residual B[1503]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,9,11,13],[1,2,4,6,11,12,14],[1,3,5,8,10,12,14],[1,4,5,9,12,13,14],[1,4,6,8,9,10,13],[1,4,7,8,11,13,14],[1,5,6,7,9,11,14],[1,5,7,10,11,12,13],[1,6,7,8,9,10,12],[2,3,7,9,12,13,14],[2,4,5,6,7,10,13],[2,4,5,8,10,12,14],[2,4,9,10,11,12,13],[2,5,6,8,11,13,14],[2,5,7,8,9,10,11],[2,6,7,8,9,12,14],[3,4,5,7,9,11,12],[3,4,6,7,8,12,13],[3,4,6,9,10,11,14],[3,4,7,8,10,11,14],[3,5,6,8,11,12,13],[3,5,6,9,10,13,14]]; G[1503]:=Group([(1,10)(2,14)(5,11)(6,8)]); # Design 1504: autom. group order 2, simple, residual B[1504]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,12,13,14],[1,3,5,9,10,12,14],[1,4,5,8,11,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,11,13],[1,5,6,7,12,13,14],[1,5,7,8,10,11,14],[1,6,7,8,9,11,12],[2,3,7,8,11,12,14],[2,4,5,6,10,11,14],[2,4,5,7,9,11,12],[2,4,7,8,10,12,14],[2,5,6,7,8,9,13],[2,5,9,10,11,12,13],[2,6,8,9,10,13,14],[3,4,5,8,10,12,13],[3,4,6,7,10,11,13],[3,4,6,8,9,11,14],[3,4,7,9,12,13,14],[3,5,6,7,9,10,14],[3,5,6,8,11,12,13]]; G[1504]:=Group([(1,9)(2,14)(4,10)(8,12)]); # Design 1505: autom. group order 2, simple, residual B[1505]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,10,11,14],[1,3,5,9,11,12,14],[1,4,5,10,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,11,12,13],[1,5,6,7,9,11,13],[1,5,7,8,9,10,14],[1,6,7,8,10,12,14],[2,3,7,8,11,13,14],[2,4,5,6,12,13,14],[2,4,5,7,8,11,12],[2,4,7,9,10,12,14],[2,5,6,7,9,10,13],[2,5,8,9,10,11,12],[2,6,8,9,11,13,14],[3,4,5,8,10,13,14],[3,4,6,7,8,9,14],[3,4,6,9,10,11,12],[3,4,7,9,10,11,13],[3,5,6,7,11,12,14],[3,5,6,8,10,12,13]]; G[1505]:=Group([(1,11)(3,8)(4,14)(5,13)(7,9)]); # Design 1506: autom. group order 2, simple, residual B[1506]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,9,10,11,14],[1,4,5,10,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,10,11,13],[1,5,6,7,8,9,14],[1,5,7,9,11,12,13],[1,6,7,8,10,12,14],[2,3,7,8,11,13,14],[2,4,5,6,10,13,14],[2,4,5,7,8,11,12],[2,4,7,9,10,12,14],[2,5,6,7,9,10,13],[2,5,8,9,10,11,12],[2,6,8,9,11,13,14],[3,4,5,8,12,13,14],[3,4,6,7,9,11,13],[3,4,6,9,10,11,12],[3,4,7,8,9,10,14],[3,5,6,7,11,12,14],[3,5,6,8,10,12,13]]; G[1506]:=Group([(1,11)(3,8)(4,14)(5,13)(7,9)]); # Design 1507: autom. group order 2, simple, residual B[1507]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,12,13,14],[1,3,5,9,10,13,14],[1,4,5,8,11,12,14],[1,4,6,8,9,10,13],[1,4,7,9,10,11,12],[1,5,6,7,12,13,14],[1,5,7,8,10,11,14],[1,6,7,8,9,11,13],[2,3,7,8,11,13,14],[2,4,5,6,10,11,14],[2,4,5,7,9,11,13],[2,4,7,8,10,13,14],[2,5,6,7,8,9,12],[2,5,9,10,11,12,13],[2,6,8,9,10,12,14],[3,4,5,8,10,12,13],[3,4,6,7,10,11,12],[3,4,6,9,11,13,14],[3,4,7,8,9,12,14],[3,5,6,7,9,10,14],[3,5,6,8,11,12,13]]; G[1507]:=Group([(1,9)(2,14)(4,10)(8,13)]); # Design 1508: autom. group order 2, simple, residual B[1508]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,12,13],[1,2,4,6,11,12,14],[1,3,5,10,11,13,14],[1,4,5,8,11,12,14],[1,4,6,8,10,13,14],[1,4,7,9,10,11,12],[1,5,6,7,9,11,13],[1,5,7,8,9,10,12],[1,6,7,8,9,13,14],[2,3,7,8,9,11,14],[2,4,5,6,9,12,13],[2,4,5,7,10,13,14],[2,4,7,9,10,11,14],[2,5,6,8,9,10,14],[2,5,8,10,11,12,13],[2,6,7,8,11,12,13],[3,4,5,7,8,11,13],[3,4,6,7,8,10,12],[3,4,6,9,10,11,13],[3,4,8,9,12,13,14],[3,5,6,7,10,12,14],[3,5,6,9,11,12,14]]; G[1508]:=Group([(1,12)(3,13)(4,11)(5,8)(9,10)]); # Design 1509: autom. group order 2, simple B[1509]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,12,13],[1,2,4,6,11,12,14],[1,3,5,10,11,13,14],[1,4,5,8,11,12,14],[1,4,6,8,10,13,14],[1,4,7,8,9,11,13],[1,5,6,7,9,11,13],[1,5,7,8,9,10,12],[1,6,7,9,10,12,14],[2,3,7,8,9,11,14],[2,4,5,6,9,12,13],[2,4,5,7,10,13,14],[2,4,7,9,10,11,14],[2,5,6,8,9,10,14],[2,5,8,10,11,12,13],[2,6,7,8,11,12,13],[3,4,5,7,10,11,12],[3,4,6,7,8,10,12],[3,4,6,9,10,11,13],[3,4,8,9,12,13,14],[3,5,6,7,8,13,14],[3,5,6,9,11,12,14]]; G[1509]:=Group([(1,12)(3,13)(4,11)(5,8)(9,10)]); # Design 1510: autom. group order 2, simple B[1510]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,6,9,12,13],[1,3,5,8,9,10,12],[1,4,5,9,11,13,14],[1,4,6,8,10,12,14],[1,4,7,10,12,13,14],[1,5,6,7,8,11,14],[1,5,7,9,10,11,12],[1,6,7,8,9,11,13],[2,3,7,9,11,12,14],[2,4,5,6,10,11,13],[2,4,5,7,8,12,14],[2,4,8,9,10,11,14],[2,5,6,7,9,10,14],[2,5,8,10,11,12,13],[2,6,7,8,9,12,13],[3,4,5,7,11,12,13],[3,4,6,7,8,10,11],[3,4,6,9,11,12,14],[3,4,7,8,9,10,13],[3,5,6,8,12,13,14],[3,5,6,9,10,13,14]]; G[1510]:=Group([(2,12)(3,10)(5,14)(7,8)(9,13)]); # Design 1511: autom. group order 2, simple, residual B[1511]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,3,9,10,11,13],[1,2,4,6,10,12,14],[1,3,5,11,12,13,14],[1,4,5,8,11,12,14],[1,4,6,8,9,12,13],[1,4,7,9,10,11,14],[1,5,6,7,8,10,13],[1,5,7,9,10,12,13],[1,6,7,8,9,11,14],[2,3,7,8,9,12,14],[2,4,5,6,9,13,14],[2,4,5,7,11,12,13],[2,4,8,9,10,11,13],[2,5,6,8,10,11,14],[2,5,7,9,10,12,14],[2,6,7,8,11,12,13],[3,4,5,7,8,10,11],[3,4,6,7,9,11,12],[3,4,6,7,10,13,14],[3,4,8,10,12,13,14],[3,5,6,8,9,10,12],[3,5,6,9,11,13,14]]; G[1511]:=Group([(1,13)(2,14)(5,10)(9,12)]); # Design 1512: autom. group order 2, simple, residual B[1512]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,11,13,14],[1,3,5,9,12,13,14],[1,4,5,8,10,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,11,13],[1,5,6,7,8,11,12],[1,5,7,10,11,12,14],[1,6,7,8,9,13,14],[2,3,7,8,10,13,14],[2,4,5,6,12,13,14],[2,4,5,7,9,10,12],[2,4,8,10,11,12,14],[2,5,6,9,10,11,13],[2,5,7,8,9,11,13],[2,6,7,8,9,12,14],[3,4,5,7,8,11,14],[3,4,6,7,9,10,14],[3,4,6,7,11,12,13],[3,4,8,9,11,12,13],[3,5,6,8,10,12,13],[3,5,6,9,10,11,14]]; G[1512]:=Group([(1,12)(2,13)(5,11)]); # Design 1513: autom. group order 2, simple, residual B[1513]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,11,13,14],[1,3,5,9,12,13,14],[1,4,5,8,10,11,12],[1,4,6,8,10,12,14],[1,4,7,9,10,11,13],[1,5,6,7,8,9,13],[1,5,7,8,11,13,14],[1,6,7,9,10,12,14],[2,3,7,8,10,13,14],[2,4,5,6,12,13,14],[2,4,5,7,9,10,12],[2,4,8,9,10,13,14],[2,5,6,9,10,11,13],[2,5,7,8,11,12,14],[2,6,7,8,9,11,12],[3,4,5,7,10,11,14],[3,4,6,7,8,9,14],[3,4,6,7,11,12,13],[3,4,8,9,11,12,13],[3,5,6,8,10,12,13],[3,5,6,9,10,11,14]]; G[1513]:=Group([(1,12)(2,13)(5,11)]); # Design 1514: autom. group order 2, simple, residual B[1514]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,7,12,14],[1,3,5,7,11,13,14],[1,4,5,9,10,11,12],[1,4,6,8,9,11,13],[1,4,7,8,9,12,14],[1,5,6,8,10,12,13],[1,5,7,9,10,13,14],[1,6,7,8,10,11,14],[2,3,7,8,9,10,14],[2,4,5,6,10,13,14],[2,4,5,8,11,13,14],[2,4,7,9,10,11,13],[2,5,6,7,9,11,12],[2,5,7,8,10,11,12],[2,6,8,9,12,13,14],[3,4,5,8,10,12,14],[3,4,6,7,10,12,13],[3,4,6,9,10,11,14],[3,4,7,8,11,12,13],[3,5,6,7,8,9,13],[3,5,6,9,11,12,14]]; G[1514]:=Group([(2,7)(3,14)(5,12)]); # Design 1515: autom. group order 2, simple B[1515]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,7,12,14],[1,3,5,7,11,13,14],[1,4,5,9,10,11,13],[1,4,6,8,9,12,13],[1,4,7,8,9,11,14],[1,5,6,8,10,11,12],[1,5,7,8,10,12,14],[1,6,7,9,10,13,14],[2,3,7,8,9,10,14],[2,4,5,6,10,13,14],[2,4,5,9,11,12,14],[2,4,7,8,10,12,13],[2,5,6,7,8,11,13],[2,5,7,9,10,11,12],[2,6,8,9,11,13,14],[3,4,5,8,10,13,14],[3,4,6,7,9,10,11],[3,4,6,10,11,12,14],[3,4,7,8,11,12,13],[3,5,6,7,9,12,13],[3,5,6,8,9,12,14]]; G[1515]:=Group([(2,3)(4,13)(5,12)(6,11)(7,14)(8,10)]); # Design 1516: autom. group order 2, simple, residual B[1516]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,7,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,12,13],[1,4,6,8,9,11,13],[1,4,7,8,9,12,14],[1,5,6,9,10,11,12],[1,5,7,9,10,13,14],[1,6,7,8,10,11,14],[2,3,7,8,9,10,14],[2,4,5,6,10,13,14],[2,4,5,9,10,11,14],[2,4,7,8,10,11,13],[2,5,6,7,9,11,12],[2,5,7,8,11,12,13],[2,6,8,9,12,13,14],[3,4,5,8,11,12,14],[3,4,6,7,10,12,13],[3,4,6,9,11,13,14],[3,4,7,9,10,11,12],[3,5,6,7,8,9,13],[3,5,6,8,10,12,14]]; G[1516]:=Group([(2,7)(3,14)(5,12)]); # Design 1517: autom. group order 2, simple B[1517]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,3,9,12,13,14],[1,2,4,6,7,10,14],[1,3,5,7,8,12,14],[1,4,5,9,10,12,13],[1,4,6,9,11,13,14],[1,4,7,8,10,13,14],[1,5,6,8,9,11,14],[1,5,7,10,11,12,13],[1,6,7,8,9,11,12],[2,3,7,9,11,13,14],[2,4,5,6,11,12,13],[2,4,5,8,11,12,14],[2,4,7,8,9,12,13],[2,5,6,8,10,13,14],[2,5,7,9,10,11,14],[2,6,7,8,9,10,12],[3,4,5,7,9,10,11],[3,4,6,7,8,11,13],[3,4,6,9,10,12,14],[3,4,8,10,11,12,14],[3,5,6,7,12,13,14],[3,5,6,8,9,10,13]]; G[1517]:=Group([(1,12)(2,14)(5,10)(6,8)(7,11)]); # Design 1518: autom. group order 2, simple B[1518]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,3,9,12,13,14],[1,2,4,6,7,10,14],[1,3,5,7,8,12,14],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,10,13,14],[1,5,6,9,10,11,14],[1,5,7,9,10,11,12],[1,6,7,8,11,12,13],[2,3,7,9,11,13,14],[2,4,5,6,11,12,13],[2,4,5,8,11,12,14],[2,4,7,9,10,12,13],[2,5,6,8,10,13,14],[2,5,7,8,9,10,12],[2,6,7,8,9,11,14],[3,4,5,7,10,11,13],[3,4,6,7,8,9,11],[3,4,6,9,10,12,14],[3,4,8,10,11,12,14],[3,5,6,7,12,13,14],[3,5,6,8,9,10,13]]; G[1518]:=Group([(1,12)(2,14)(5,10)(6,8)(7,11)]); # Design 1519: autom. group order 2, simple, residual B[1519]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,3,9,12,13,14],[1,2,4,6,7,10,14],[1,3,5,7,8,12,14],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,10,13,14],[1,5,6,9,10,11,14],[1,5,7,10,11,12,13],[1,6,7,8,9,11,12],[2,3,7,9,11,13,14],[2,4,5,6,11,12,13],[2,4,5,8,11,12,14],[2,4,7,9,10,12,13],[2,5,6,8,10,13,14],[2,5,7,8,9,10,12],[2,6,7,8,9,11,14],[3,4,5,7,9,10,11],[3,4,6,7,8,11,13],[3,4,6,9,10,12,14],[3,4,8,10,11,12,14],[3,5,6,7,12,13,14],[3,5,6,8,9,10,13]]; G[1519]:=Group([(1,12)(2,14)(5,10)(6,8)(7,11)]); # Design 1520: autom. group order 2, simple, residual B[1520]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,7,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,11,13],[1,4,7,8,9,12,14],[1,5,6,8,9,12,13],[1,5,7,9,10,13,14],[1,6,7,8,10,11,14],[2,3,7,8,9,10,14],[2,4,5,6,10,13,14],[2,4,5,9,10,11,14],[2,4,8,11,12,13,14],[2,5,6,7,9,11,12],[2,5,7,8,10,12,13],[2,6,7,8,9,11,13],[3,4,5,7,8,11,13],[3,4,6,7,10,12,13],[3,4,6,8,9,13,14],[3,4,7,9,10,11,12],[3,5,6,8,10,12,14],[3,5,6,9,11,12,14]]; G[1520]:=Group([(2,7)(3,14)(5,12)]); # Design 1521: autom. group order 2, simple B[1521]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,3,9,11,12,13],[1,2,4,6,7,13,14],[1,3,5,7,10,11,14],[1,4,5,8,11,12,13],[1,4,6,8,9,10,13],[1,4,9,10,11,12,14],[1,5,6,7,8,11,12],[1,5,7,9,10,13,14],[1,6,7,8,9,12,14],[2,3,7,8,9,12,14],[2,4,5,6,9,11,14],[2,4,5,8,10,12,14],[2,4,7,11,12,13,14],[2,5,6,9,10,12,13],[2,5,7,8,9,10,11],[2,6,7,8,10,11,13],[3,4,5,7,10,12,13],[3,4,6,7,9,10,12],[3,4,6,8,10,11,14],[3,4,7,8,9,11,13],[3,5,6,8,12,13,14],[3,5,6,9,11,13,14]]; G[1521]:=Group([(2,12)(3,11)(4,8)(9,13)]); # Design 1522: autom. group order 2, simple B[1522]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,3,9,11,12,13],[1,2,4,6,7,13,14],[1,3,5,7,10,11,14],[1,4,5,8,11,12,13],[1,4,6,8,9,10,13],[1,4,9,10,11,12,14],[1,5,6,7,8,11,12],[1,5,7,9,10,13,14],[1,6,7,8,9,12,14],[2,3,7,8,9,12,14],[2,4,5,6,9,11,14],[2,4,5,8,10,12,14],[2,4,7,11,12,13,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,13],[2,6,7,8,9,10,11],[3,4,5,7,9,10,12],[3,4,6,7,10,12,13],[3,4,6,8,10,11,14],[3,4,7,8,9,11,13],[3,5,6,8,12,13,14],[3,5,6,9,11,13,14]]; G[1522]:=Group([(2,12)(3,11)(4,8)(9,13)]); # Design 1523: autom. group order 2, simple, residual B[1523]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,7,10,14],[1,3,5,7,11,12,14],[1,4,5,8,10,12,13],[1,4,6,9,11,12,13],[1,4,8,9,10,11,14],[1,5,6,7,8,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,13,14],[2,3,7,8,9,13,14],[2,4,5,6,9,12,14],[2,4,5,8,11,13,14],[2,4,7,10,12,13,14],[2,5,6,9,10,11,13],[2,5,7,8,9,11,12],[2,6,7,8,10,11,12],[3,4,5,7,10,11,13],[3,4,6,7,9,11,13],[3,4,6,8,11,12,14],[3,4,7,8,9,10,12],[3,5,6,8,10,13,14],[3,5,6,9,10,12,14]]; G[1523]:=Group([(2,13)(3,12)(4,8)(9,10)]); # Design 1524: autom. group order 2, simple, residual B[1524]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,7,10,14],[1,3,5,7,11,12,14],[1,4,5,8,10,12,13],[1,4,6,9,11,12,13],[1,4,8,9,10,11,14],[1,5,6,7,8,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,13,14],[2,3,7,8,9,13,14],[2,4,5,6,9,12,14],[2,4,5,8,11,13,14],[2,4,7,10,12,13,14],[2,5,6,9,10,11,13],[2,5,7,8,10,11,12],[2,6,7,8,9,11,12],[3,4,5,7,9,11,13],[3,4,6,7,10,11,13],[3,4,6,8,11,12,14],[3,4,7,8,9,10,12],[3,5,6,8,10,13,14],[3,5,6,9,10,12,14]]; G[1524]:=Group([(2,13)(3,12)(4,8)(9,10)]); # Design 1525: autom. group order 2, simple, residual B[1525]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,3,9,10,11,13],[1,2,4,6,10,12,14],[1,3,5,8,11,12,14],[1,4,5,7,9,10,14],[1,4,6,7,9,11,13],[1,4,7,11,12,13,14],[1,5,6,8,11,13,14],[1,5,7,8,9,10,12],[1,6,8,9,10,12,13],[2,3,7,9,12,13,14],[2,4,5,8,10,11,13],[2,4,5,9,11,12,13],[2,4,6,8,9,12,14],[2,5,6,7,8,12,13],[2,5,6,7,10,11,14],[2,7,8,9,10,11,14],[3,4,5,10,12,13,14],[3,4,6,7,8,10,13],[3,4,6,8,9,11,14],[3,4,7,8,10,11,12],[3,5,6,7,9,11,12],[3,5,6,9,10,13,14]]; G[1525]:=Group([(1,10)(3,11)(4,14)(5,7)]); # Design 1526: autom. group order 2, simple, residual B[1526]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,3,9,10,11,13],[1,2,4,6,10,12,14],[1,3,5,8,11,12,14],[1,4,5,7,10,13,14],[1,4,6,7,9,11,13],[1,4,7,9,11,12,14],[1,5,6,8,9,11,14],[1,5,7,8,10,12,13],[1,6,8,9,10,12,13],[2,3,7,9,12,13,14],[2,4,5,8,10,11,13],[2,4,5,9,11,12,13],[2,4,6,8,12,13,14],[2,5,6,7,8,9,12],[2,5,6,7,10,11,14],[2,7,8,9,10,11,14],[3,4,5,9,10,12,14],[3,4,6,7,8,9,10],[3,4,6,8,11,13,14],[3,4,7,8,10,11,12],[3,5,6,7,11,12,13],[3,5,6,9,10,13,14]]; G[1526]:=Group([(1,10)(3,11)(4,14)(5,7)]); # Design 1527: autom. group order 2, simple, residual B[1527]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,3,9,10,11,13],[1,2,4,6,10,12,14],[1,3,5,8,11,12,14],[1,4,5,7,9,10,14],[1,4,6,7,8,11,13],[1,4,7,11,12,13,14],[1,5,6,9,11,13,14],[1,5,7,8,9,10,12],[1,6,8,9,10,12,13],[2,3,7,9,12,13,14],[2,4,5,8,10,11,13],[2,4,5,9,11,12,13],[2,4,6,8,9,12,14],[2,5,6,7,8,12,13],[2,5,6,7,10,11,14],[2,7,8,9,10,11,14],[3,4,5,10,12,13,14],[3,4,6,7,9,10,13],[3,4,6,8,9,11,14],[3,4,7,8,10,11,12],[3,5,6,7,9,11,12],[3,5,6,8,10,13,14]]; G[1527]:=Group([(1,10)(3,11)(4,14)(5,7)]); # Design 1528: autom. group order 2, simple, residual B[1528]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,3,9,10,11,13],[1,2,4,6,10,12,14],[1,3,5,8,11,12,14],[1,4,5,7,10,13,14],[1,4,6,7,8,9,11],[1,4,7,9,11,12,14],[1,5,6,9,11,13,14],[1,5,7,8,10,12,13],[1,6,8,9,10,12,13],[2,3,7,9,12,13,14],[2,4,5,8,10,11,13],[2,4,5,9,11,12,13],[2,4,6,8,12,13,14],[2,5,6,7,8,9,12],[2,5,6,7,10,11,14],[2,7,8,9,10,11,14],[3,4,5,9,10,12,14],[3,4,6,7,9,10,13],[3,4,6,8,11,13,14],[3,4,7,8,10,11,12],[3,5,6,7,11,12,13],[3,5,6,8,9,10,14]]; G[1528]:=Group([(1,10)(3,11)(4,14)(5,7)]); # Design 1529: autom. group order 2, simple, residual B[1529]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,3,9,10,11,13],[1,2,4,6,12,13,14],[1,3,5,9,10,12,14],[1,4,5,7,10,11,13],[1,4,6,7,8,9,12],[1,4,8,9,10,11,14],[1,5,6,8,11,12,13],[1,5,7,9,12,13,14],[1,6,7,8,10,11,14],[2,3,7,8,11,12,14],[2,4,5,7,10,11,12],[2,4,5,8,11,13,14],[2,4,6,7,9,10,14],[2,5,6,8,9,10,13],[2,5,6,9,11,12,14],[2,7,8,9,10,12,13],[3,4,5,8,10,12,14],[3,4,6,8,10,12,13],[3,4,6,9,11,13,14],[3,4,7,9,11,12,13],[3,5,6,7,8,9,11],[3,5,6,7,10,13,14]]; G[1529]:=Group([(2,11)(3,10)(4,8)(5,14)]); # Design 1530: autom. group order 2, simple, residual B[1530]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,3,9,10,11,13],[1,2,4,6,12,13,14],[1,3,5,9,10,12,14],[1,4,5,7,10,11,13],[1,4,6,7,8,9,12],[1,4,8,9,10,11,14],[1,5,6,8,11,12,13],[1,5,7,9,12,13,14],[1,6,7,8,10,11,14],[2,3,7,8,11,12,14],[2,4,5,7,10,11,12],[2,4,5,8,11,13,14],[2,4,6,9,10,13,14],[2,5,6,7,8,9,10],[2,5,6,9,11,12,14],[2,7,8,9,10,12,13],[3,4,5,8,10,12,14],[3,4,6,7,9,11,14],[3,4,6,8,10,12,13],[3,4,7,9,11,12,13],[3,5,6,7,10,13,14],[3,5,6,8,9,11,13]]; G[1530]:=Group([(2,11)(3,10)(4,8)(5,14)]); # Design 1531: autom. group order 2, simple, residual B[1531]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,12,14],[1,2,4,6,11,13,14],[1,3,5,8,12,13,14],[1,4,5,7,11,13,14],[1,4,6,7,9,10,12],[1,4,8,9,10,11,13],[1,5,6,8,9,12,13],[1,5,7,9,10,11,14],[1,6,7,8,10,12,14],[2,3,7,9,10,13,14],[2,4,5,8,10,11,12],[2,4,5,9,10,12,14],[2,4,6,8,10,13,14],[2,5,6,7,8,9,14],[2,5,6,7,11,12,13],[2,7,8,9,11,12,13],[3,4,5,7,10,12,13],[3,4,6,7,8,9,11],[3,4,6,9,12,13,14],[3,4,7,8,11,12,14],[3,5,6,8,10,11,14],[3,5,6,9,10,11,13]]; G[1531]:=Group([(1,11)(3,12)(4,13)(5,7)]); # Design 1532: autom. group order 2, simple, residual B[1532]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,12,14],[1,2,4,6,11,13,14],[1,3,5,8,12,13,14],[1,4,5,7,11,13,14],[1,4,6,7,8,9,12],[1,4,8,9,10,11,13],[1,5,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,10,12,14],[2,3,7,9,10,13,14],[2,4,5,8,10,11,12],[2,4,5,9,10,12,14],[2,4,6,8,10,13,14],[2,5,6,7,8,9,14],[2,5,6,7,11,12,13],[2,7,8,9,11,12,13],[3,4,5,7,10,12,13],[3,4,6,7,9,10,11],[3,4,6,9,12,13,14],[3,4,7,8,11,12,14],[3,5,6,8,9,11,13],[3,5,6,8,10,11,14]]; G[1532]:=Group([(1,11)(3,12)(4,13)(5,7)]); # Design 1533: autom. group order 2, simple, residual B[1533]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,11,12,14],[1,2,4,6,10,13,14],[1,3,5,9,11,13,14],[1,4,5,7,10,13,14],[1,4,6,7,9,11,12],[1,4,8,9,10,12,13],[1,5,6,8,11,12,13],[1,5,7,8,10,12,14],[1,6,7,8,9,11,14],[2,3,7,8,12,13,14],[2,4,5,8,11,12,14],[2,4,5,9,10,11,12],[2,4,6,8,9,13,14],[2,5,6,7,9,12,14],[2,5,6,7,10,11,13],[2,7,8,9,10,11,13],[3,4,5,7,8,11,13],[3,4,6,7,8,10,12],[3,4,6,11,12,13,14],[3,4,7,9,10,11,14],[3,5,6,8,9,10,14],[3,5,6,9,10,12,13]]; G[1533]:=Group([(1,10)(3,11)(4,13)(5,7)]); # Design 1534: autom. group order 2, simple, residual B[1534]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,11,12,14],[1,2,4,6,10,13,14],[1,3,5,9,11,13,14],[1,4,5,7,10,13,14],[1,4,6,7,8,11,12],[1,4,8,9,10,12,13],[1,5,6,9,11,12,13],[1,5,7,8,10,12,14],[1,6,7,8,9,11,14],[2,3,7,8,12,13,14],[2,4,5,8,11,12,14],[2,4,5,9,10,11,12],[2,4,6,8,9,13,14],[2,5,6,7,9,12,14],[2,5,6,7,10,11,13],[2,7,8,9,10,11,13],[3,4,5,7,8,11,13],[3,4,6,7,9,10,12],[3,4,6,11,12,13,14],[3,4,7,9,10,11,14],[3,5,6,8,9,10,14],[3,5,6,8,10,12,13]]; G[1534]:=Group([(1,10)(3,11)(4,13)(5,7)]); # Design 1535: autom. group order 2, simple, residual B[1535]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,7,12,14],[1,3,5,7,11,13,14],[1,4,5,9,10,11,12],[1,4,6,8,9,11,13],[1,4,7,8,10,13,14],[1,5,6,8,10,12,13],[1,5,7,8,9,11,14],[1,6,7,9,10,12,14],[2,3,7,8,9,10,14],[2,4,5,7,9,10,13],[2,4,5,10,11,12,14],[2,4,6,9,11,13,14],[2,5,6,7,8,11,12],[2,5,6,8,10,13,14],[2,7,8,9,11,12,13],[3,4,5,8,12,13,14],[3,4,6,7,10,11,13],[3,4,6,8,9,12,14],[3,4,7,8,10,11,12],[3,5,6,7,9,12,13],[3,5,6,9,10,11,14]]; G[1535]:=Group([(2,14)(3,7)(4,11)(6,13)]); # Design 1536: autom. group order 2, simple B[1536]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,7,12,14],[1,3,5,7,11,13,14],[1,4,5,9,10,11,12],[1,4,6,8,10,11,13],[1,4,7,8,10,13,14],[1,5,6,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,9,10,12,14],[2,3,7,8,9,10,14],[2,4,5,7,9,10,13],[2,4,5,10,11,12,14],[2,4,6,9,11,13,14],[2,5,6,7,8,11,12],[2,5,6,8,10,13,14],[2,7,8,9,11,12,13],[3,4,5,8,12,13,14],[3,4,6,7,9,11,13],[3,4,6,8,9,12,14],[3,4,7,8,10,11,12],[3,5,6,7,10,12,13],[3,5,6,9,10,11,14]]; G[1536]:=Group([(2,14)(3,7)(4,11)(6,13)]); # Design 1537: autom. group order 2, simple, residual B[1537]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,7,12,14],[1,3,5,7,11,13,14],[1,4,5,9,10,11,12],[1,4,6,8,10,11,13],[1,4,7,8,10,13,14],[1,5,6,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,9,10,12,14],[2,3,7,8,9,10,14],[2,4,5,7,10,12,13],[2,4,5,9,10,11,14],[2,4,6,9,11,13,14],[2,5,6,7,8,11,12],[2,5,6,8,10,13,14],[2,7,8,9,11,12,13],[3,4,5,8,12,13,14],[3,4,6,7,9,11,13],[3,4,6,8,9,12,14],[3,4,7,8,10,11,12],[3,5,6,7,9,10,13],[3,5,6,10,11,12,14]]; G[1537]:=Group([(2,14)(3,7)(4,11)(6,13)]); # Design 1538: autom. group order 2, simple B[1538]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,7,12,14],[1,3,5,7,11,13,14],[1,4,5,9,10,11,12],[1,4,6,8,10,11,13],[1,4,7,8,10,13,14],[1,5,6,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,9,10,12,14],[2,3,7,8,9,10,14],[2,4,5,7,9,10,13],[2,4,5,8,11,12,14],[2,4,6,9,11,13,14],[2,5,6,7,10,11,12],[2,5,6,8,10,13,14],[2,7,8,9,11,12,13],[3,4,5,10,12,13,14],[3,4,6,7,9,11,13],[3,4,6,8,9,12,14],[3,4,7,8,10,11,12],[3,5,6,7,8,12,13],[3,5,6,9,10,11,14]]; G[1538]:=Group([(2,14)(3,7)(4,11)(6,13)]); # Design 1539: autom. group order 2, simple B[1539]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,7,12,14],[1,3,5,7,11,13,14],[1,4,5,9,10,11,12],[1,4,6,8,10,11,13],[1,4,7,8,10,13,14],[1,5,6,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,9,10,12,14],[2,3,7,8,9,10,14],[2,4,5,7,10,12,13],[2,4,5,8,11,12,14],[2,4,6,9,11,13,14],[2,5,6,7,9,10,11],[2,5,6,8,10,13,14],[2,7,8,9,11,12,13],[3,4,5,9,10,13,14],[3,4,6,7,9,11,13],[3,4,6,8,9,12,14],[3,4,7,8,10,11,12],[3,5,6,7,8,12,13],[3,5,6,10,11,12,14]]; G[1539]:=Group([(2,14)(3,7)(4,11)(6,13)]); # Design 1540: autom. group order 2, simple, residual B[1540]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,7,12,14],[1,3,5,7,11,13,14],[1,4,5,9,10,11,12],[1,4,6,8,9,11,13],[1,4,7,8,10,13,14],[1,5,6,8,10,12,13],[1,5,7,8,9,11,14],[1,6,7,9,10,12,14],[2,3,7,8,9,10,14],[2,4,5,7,8,12,13],[2,4,5,10,11,12,14],[2,4,6,9,11,13,14],[2,5,6,7,9,10,11],[2,5,6,8,10,13,14],[2,7,8,9,11,12,13],[3,4,5,9,10,13,14],[3,4,6,7,10,11,13],[3,4,6,8,9,12,14],[3,4,7,8,10,11,12],[3,5,6,7,9,12,13],[3,5,6,8,11,12,14]]; G[1540]:=Group([(2,14)(3,7)(4,11)(6,13)]); # Design 1541: autom. group order 2, simple, residual B[1541]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,7,12,14],[1,3,5,7,11,13,14],[1,4,5,9,10,11,12],[1,4,6,8,10,11,13],[1,4,7,8,10,13,14],[1,5,6,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,9,10,12,14],[2,3,7,8,9,10,14],[2,4,5,7,8,12,13],[2,4,5,9,10,11,14],[2,4,6,9,11,13,14],[2,5,6,7,10,11,12],[2,5,6,8,10,13,14],[2,7,8,9,11,12,13],[3,4,5,10,12,13,14],[3,4,6,7,9,11,13],[3,4,6,8,9,12,14],[3,4,7,8,10,11,12],[3,5,6,7,9,10,13],[3,5,6,8,11,12,14]]; G[1541]:=Group([(2,14)(3,7)(4,11)(6,13)]); # Design 1542: autom. group order 2, simple B[1542]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,7,12,14],[1,3,5,7,11,13,14],[1,4,5,9,10,11,12],[1,4,6,8,10,11,13],[1,4,7,8,10,13,14],[1,5,6,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,9,10,12,14],[2,3,7,8,9,10,14],[2,4,5,7,8,12,13],[2,4,5,10,11,12,14],[2,4,6,9,11,13,14],[2,5,6,7,9,10,11],[2,5,6,8,10,13,14],[2,7,8,9,11,12,13],[3,4,5,9,10,13,14],[3,4,6,7,9,11,13],[3,4,6,8,9,12,14],[3,4,7,8,10,11,12],[3,5,6,7,10,12,13],[3,5,6,8,11,12,14]]; G[1542]:=Group([(2,14)(3,7)(4,11)(6,13)]); # Design 1543: autom. group order 2, simple, residual B[1543]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,7,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,11,13],[1,4,7,8,10,13,14],[1,5,6,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,9,10,12,14],[2,3,7,8,9,10,14],[2,4,5,7,9,10,13],[2,4,5,9,11,12,14],[2,4,6,8,11,13,14],[2,5,6,7,10,11,12],[2,5,6,8,10,13,14],[2,7,8,9,11,12,13],[3,4,5,10,12,13,14],[3,4,6,7,9,11,13],[3,4,6,8,9,12,14],[3,4,7,8,10,11,12],[3,5,6,7,8,12,13],[3,5,6,9,10,11,14]]; G[1543]:=Group([(2,14)(3,7)(4,11)(6,13)]); # Design 1544: autom. group order 2, simple, residual B[1544]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,7,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,11,13],[1,4,7,8,10,13,14],[1,5,6,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,9,10,12,14],[2,3,7,8,9,10,14],[2,4,5,7,10,12,13],[2,4,5,9,11,12,14],[2,4,6,8,11,13,14],[2,5,6,7,9,10,11],[2,5,6,8,10,13,14],[2,7,8,9,11,12,13],[3,4,5,9,10,13,14],[3,4,6,7,9,11,13],[3,4,6,8,9,12,14],[3,4,7,8,10,11,12],[3,5,6,7,8,12,13],[3,5,6,10,11,12,14]]; G[1544]:=Group([(2,14)(3,7)(4,11)(6,13)]); # Design 1545: autom. group order 2, simple B[1545]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,6,9,12,13],[1,3,5,7,9,11,12],[1,4,5,7,8,10,14],[1,4,6,8,11,12,14],[1,4,7,11,12,13,14],[1,5,6,9,10,13,14],[1,5,8,9,10,11,12],[1,6,7,8,9,10,13],[2,3,8,9,10,12,14],[2,4,5,8,10,11,13],[2,4,5,9,12,13,14],[2,4,6,7,9,10,11],[2,5,6,7,8,12,14],[2,5,7,10,11,12,13],[2,6,7,8,9,11,14],[3,4,5,6,10,11,14],[3,4,6,8,10,12,13],[3,4,7,8,9,11,13],[3,4,7,9,10,12,14],[3,5,6,7,8,12,13],[3,5,6,9,11,13,14]]; G[1545]:=Group([(2,12)(3,11)(5,14)(7,8)(9,13)]); # Design 1546: autom. group order 2, simple, residual B[1546]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,6,9,12,13],[1,3,5,7,9,11,12],[1,4,5,7,8,10,14],[1,4,6,8,11,12,14],[1,4,7,11,12,13,14],[1,5,6,9,10,13,14],[1,5,8,9,10,11,12],[1,6,7,8,9,10,13],[2,3,8,9,10,12,14],[2,4,5,8,10,11,13],[2,4,5,9,12,13,14],[2,4,6,7,8,10,12],[2,5,6,7,9,11,14],[2,5,7,10,11,12,13],[2,6,7,8,9,11,14],[3,4,5,6,10,11,14],[3,4,6,9,10,11,13],[3,4,7,8,9,11,13],[3,4,7,9,10,12,14],[3,5,6,7,8,12,13],[3,5,6,8,12,13,14]]; G[1546]:=Group([(2,12)(3,11)(5,14)(7,8)(9,13)]); # Design 1547: autom. group order 2, simple, residual B[1547]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,11,12,13,14],[1,2,4,6,9,13,14],[1,3,5,7,9,11,14],[1,4,5,10,12,13,14],[1,4,6,7,9,10,12],[1,4,8,9,10,11,14],[1,5,6,8,12,13,14],[1,5,7,8,10,11,12],[1,6,7,8,9,11,13],[2,3,8,9,10,12,14],[2,4,5,7,11,12,13],[2,4,5,8,9,11,12],[2,4,6,8,10,11,13],[2,5,6,7,8,10,14],[2,5,7,9,10,13,14],[2,6,7,9,11,12,14],[3,4,5,6,10,11,14],[3,4,6,7,8,12,14],[3,4,7,8,11,13,14],[3,4,7,9,10,12,13],[3,5,6,8,9,12,13],[3,5,6,9,10,11,13]]; G[1547]:=Group([(1,11)(3,12)(6,13)(8,9)(10,14)]); # Design 1548: autom. group order 2, simple, residual B[1548]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,11,12,13,14],[1,2,4,6,9,13,14],[1,3,5,7,9,11,14],[1,4,5,10,12,13,14],[1,4,6,7,8,12,14],[1,4,8,9,10,11,14],[1,5,6,9,10,12,13],[1,5,7,8,10,11,12],[1,6,7,8,9,11,13],[2,3,8,9,10,12,14],[2,4,5,7,11,12,13],[2,4,5,8,9,11,12],[2,4,6,8,10,11,13],[2,5,6,7,8,10,14],[2,5,7,9,10,13,14],[2,6,7,9,11,12,14],[3,4,5,6,10,11,14],[3,4,6,7,9,10,12],[3,4,7,8,12,13,14],[3,4,7,9,10,11,13],[3,5,6,8,9,12,13],[3,5,6,8,11,13,14]]; G[1548]:=Group([(1,11)(3,12)(6,13)(8,9)(10,14)]); # Design 1549: autom. group order 2, simple B[1549]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,3,9,10,11,13],[1,2,4,6,12,13,14],[1,3,5,7,10,12,14],[1,4,5,8,11,12,13],[1,4,6,7,9,11,14],[1,4,8,9,10,12,14],[1,5,6,8,11,13,14],[1,5,7,8,9,10,11],[1,6,7,9,10,12,13],[2,3,8,9,11,12,14],[2,4,5,7,10,11,13],[2,4,5,10,11,12,14],[2,4,6,8,9,10,13],[2,5,6,7,8,9,12],[2,5,7,9,12,13,14],[2,6,7,8,10,11,14],[3,4,5,6,9,10,14],[3,4,6,7,8,11,12],[3,4,7,8,10,12,13],[3,4,7,9,11,13,14],[3,5,6,8,10,13,14],[3,5,6,9,11,12,13]]; G[1549]:=Group([(1,10)(3,11)(6,13)(8,14)(9,12)]); # Design 1550: autom. group order 2, simple B[1550]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,11,12,14],[1,2,4,6,12,13,14],[1,3,5,7,10,13,14],[1,4,5,8,11,12,13],[1,4,6,7,9,11,14],[1,4,8,9,10,13,14],[1,5,6,9,11,12,13],[1,5,7,8,9,10,11],[1,6,7,8,10,12,14],[2,3,8,9,11,13,14],[2,4,5,7,10,11,12],[2,4,5,10,11,13,14],[2,4,6,8,9,10,12],[2,5,6,7,8,13,14],[2,5,7,8,9,12,14],[2,6,7,9,10,11,13],[3,4,5,6,9,10,14],[3,4,6,7,8,11,13],[3,4,7,8,10,12,13],[3,4,7,9,11,12,14],[3,5,6,8,11,12,14],[3,5,6,9,10,12,13]]; G[1550]:=Group([(1,10)(3,11)(6,12)(8,14)(9,13)]); # Design 1551: autom. group order 2, simple, residual B[1551]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,6,9,12,13],[1,3,5,7,9,11,12],[1,4,5,9,10,13,14],[1,4,6,8,11,12,14],[1,4,7,11,12,13,14],[1,5,6,7,8,10,14],[1,5,8,9,10,11,12],[1,6,7,8,9,10,13],[2,3,8,9,10,12,14],[2,4,5,7,8,12,14],[2,4,5,8,10,11,13],[2,4,6,7,9,10,11],[2,5,6,9,12,13,14],[2,5,7,10,11,12,13],[2,6,7,8,9,11,14],[3,4,5,6,10,11,14],[3,4,6,8,10,12,13],[3,4,7,8,9,11,13],[3,4,7,9,10,12,14],[3,5,6,7,8,12,13],[3,5,6,9,11,13,14]]; G[1551]:=Group([(2,12)(3,11)(5,14)(7,8)(9,13)]); # Design 1552: autom. group order 2, simple B[1552]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,6,9,12,13],[1,3,5,7,9,11,12],[1,4,5,9,10,13,14],[1,4,6,8,11,12,14],[1,4,7,11,12,13,14],[1,5,6,7,8,10,14],[1,5,8,9,10,11,12],[1,6,7,8,9,10,13],[2,3,8,9,10,12,14],[2,4,5,7,8,12,14],[2,4,5,8,10,11,13],[2,4,6,9,10,11,14],[2,5,6,7,9,11,14],[2,5,7,10,11,12,13],[2,6,7,8,9,12,13],[3,4,5,6,10,12,13],[3,4,6,7,8,10,11],[3,4,7,8,9,11,13],[3,4,7,9,10,12,14],[3,5,6,8,12,13,14],[3,5,6,9,11,13,14]]; G[1552]:=Group([(2,12)(3,11)(5,14)(7,8)(9,13)]); # Design 1553: autom. group order 2, simple B[1553]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,10,12,14],[1,3,5,7,11,12,14],[1,4,5,8,10,13,14],[1,4,6,9,11,12,13],[1,4,7,8,11,12,13],[1,5,6,7,9,13,14],[1,5,8,9,10,11,12],[1,6,7,8,9,10,14],[2,3,8,9,12,13,14],[2,4,5,7,9,10,11],[2,4,5,10,12,13,14],[2,4,6,8,9,11,14],[2,5,6,7,9,12,13],[2,5,7,8,11,12,14],[2,6,7,8,10,11,13],[3,4,5,6,8,11,13],[3,4,6,7,8,12,14],[3,4,7,9,10,11,14],[3,4,7,9,10,12,13],[3,5,6,8,9,10,12],[3,5,6,10,11,13,14]]; G[1553]:=Group([(2,12)(3,11)(5,13)(7,9)]); # Design 1554: autom. group order 2, simple, residual B[1554]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,11,12,14],[1,2,4,6,10,13,14],[1,3,5,7,11,13,14],[1,4,5,9,10,12,13],[1,4,6,9,11,12,14],[1,4,7,8,10,12,13],[1,5,6,8,9,10,14],[1,5,7,8,11,13,14],[1,6,7,8,9,11,12],[2,3,8,9,12,13,14],[2,4,5,7,10,11,12],[2,4,5,8,11,12,14],[2,4,6,7,8,13,14],[2,5,6,7,9,12,14],[2,5,8,9,10,11,13],[2,6,7,9,10,11,13],[3,4,5,6,9,11,13],[3,4,6,8,11,12,13],[3,4,7,8,9,10,14],[3,4,7,9,10,11,14],[3,5,6,7,8,10,12],[3,5,6,10,12,13,14]]; G[1554]:=Group([(1,10)(3,11)(4,13)(5,9)]); # Design 1555: autom. group order 2, simple B[1555]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,6,9,11,14],[1,3,5,7,9,12,14],[1,4,5,9,10,11,13],[1,4,6,8,11,13,14],[1,4,7,8,9,12,13],[1,5,6,10,12,13,14],[1,5,7,8,10,11,14],[1,6,7,8,9,10,12],[2,3,8,9,10,13,14],[2,4,5,7,10,11,12],[2,4,5,8,10,12,13],[2,4,6,7,12,13,14],[2,5,6,8,9,12,14],[2,5,7,9,11,13,14],[2,6,7,8,9,10,11],[3,4,5,6,8,10,14],[3,4,6,7,9,10,13],[3,4,7,8,11,12,14],[3,4,9,10,11,12,14],[3,5,6,7,8,11,13],[3,5,6,9,11,12,13]]; G[1555]:=Group([(1,12)(2,11)(5,14)(6,10)(7,9)]); # Design 1556: autom. group order 2, simple, residual B[1556]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,6,9,11,14],[1,3,5,7,9,12,14],[1,4,5,9,10,11,13],[1,4,6,8,11,13,14],[1,4,7,8,9,12,13],[1,5,6,8,10,12,14],[1,5,7,10,11,13,14],[1,6,7,8,9,10,12],[2,3,8,9,10,13,14],[2,4,5,7,10,11,12],[2,4,5,8,10,12,13],[2,4,6,7,12,13,14],[2,5,6,9,12,13,14],[2,5,7,8,9,11,14],[2,6,7,8,9,10,11],[3,4,5,6,8,10,14],[3,4,6,7,9,10,13],[3,4,7,8,11,12,14],[3,4,9,10,11,12,14],[3,5,6,7,8,11,13],[3,5,6,9,11,12,13]]; G[1556]:=Group([(1,12)(2,11)(5,14)(6,10)(7,9)]); # Design 1557: autom. group order 2, simple, residual B[1557]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,6,9,11,14],[1,3,5,7,9,12,14],[1,4,5,9,10,11,13],[1,4,6,8,10,12,13],[1,4,7,8,9,12,13],[1,5,6,8,10,12,14],[1,5,7,8,10,11,14],[1,6,7,9,11,13,14],[2,3,8,9,10,13,14],[2,4,5,7,10,11,12],[2,4,5,8,11,13,14],[2,4,6,7,12,13,14],[2,5,6,8,9,12,14],[2,5,7,9,10,12,13],[2,6,7,8,9,10,11],[3,4,5,6,10,13,14],[3,4,6,7,8,9,10],[3,4,7,8,11,12,14],[3,4,9,10,11,12,14],[3,5,6,7,8,11,13],[3,5,6,9,11,12,13]]; G[1557]:=Group([(1,12)(2,11)(5,14)(6,10)(7,9)]); # Design 1558: autom. group order 2, simple B[1558]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,6,9,11,14],[1,3,5,7,9,12,14],[1,4,5,9,10,11,13],[1,4,6,8,11,13,14],[1,4,7,8,9,12,13],[1,5,6,8,10,12,14],[1,5,7,8,10,11,14],[1,6,7,9,10,12,13],[2,3,8,9,10,13,14],[2,4,5,7,10,11,12],[2,4,5,8,10,12,13],[2,4,6,7,12,13,14],[2,5,6,8,9,12,14],[2,5,7,9,11,13,14],[2,6,7,8,9,10,11],[3,4,5,6,10,13,14],[3,4,6,7,8,9,10],[3,4,7,8,11,12,14],[3,4,9,10,11,12,14],[3,5,6,7,8,11,13],[3,5,6,9,11,12,13]]; G[1558]:=Group([(1,12)(2,11)(5,14)(6,10)(7,9)]); # Design 1559: autom. group order 2, simple, residual B[1559]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,11,12,14],[1,2,4,6,12,13,14],[1,3,5,7,10,13,14],[1,4,5,8,11,13,14],[1,4,6,9,10,11,12],[1,4,7,9,10,11,13],[1,5,6,8,11,12,13],[1,5,7,8,9,12,14],[1,6,7,8,9,10,14],[2,3,8,9,11,13,14],[2,4,5,7,10,11,14],[2,4,5,9,10,12,13],[2,4,6,7,8,12,14],[2,5,6,8,9,10,13],[2,5,7,8,10,11,12],[2,6,7,9,11,13,14],[3,4,5,6,9,11,14],[3,4,6,7,8,10,13],[3,4,7,8,11,12,13],[3,4,8,9,10,12,14],[3,5,6,7,9,11,12],[3,5,6,10,12,13,14]]; G[1559]:=Group([(1,13)(3,9)(4,14)(5,11)]); # Design 1560: autom. group order 2, simple, residual B[1560]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,11],[1,2,3,9,12,13,14],[1,2,4,6,10,13,14],[1,3,5,8,11,13,14],[1,4,5,7,11,13,14],[1,4,6,7,9,10,13],[1,4,8,9,10,12,14],[1,5,6,9,11,12,13],[1,5,7,8,9,10,12],[1,6,7,8,11,12,14],[2,3,7,9,12,13,14],[2,4,5,7,9,11,12],[2,4,5,10,11,12,14],[2,4,6,8,9,11,14],[2,5,6,8,10,12,13],[2,5,7,8,10,13,14],[2,6,7,8,9,11,13],[3,4,5,6,8,12,13],[3,4,6,7,8,12,14],[3,4,7,10,11,12,13],[3,4,8,9,10,11,13],[3,5,6,7,9,10,14],[3,5,6,9,10,11,14]]; G[1560]:=Group([(1,11)(2,10)(5,13)(6,12)]); # Design 1561: autom. group order 2, simple, residual B[1561]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,11],[1,2,3,9,12,13,14],[1,2,4,6,10,13,14],[1,3,5,8,11,13,14],[1,4,5,7,11,13,14],[1,4,6,7,9,10,13],[1,4,8,9,10,12,14],[1,5,6,9,11,12,13],[1,5,7,8,10,12,14],[1,6,7,8,9,11,12],[2,3,7,9,12,13,14],[2,4,5,7,9,11,12],[2,4,5,10,11,12,14],[2,4,6,8,9,11,14],[2,5,6,8,10,12,13],[2,5,7,8,9,10,13],[2,6,7,8,11,13,14],[3,4,5,6,8,12,13],[3,4,6,7,8,12,14],[3,4,7,10,11,12,13],[3,4,8,9,10,11,13],[3,5,6,7,9,10,14],[3,5,6,9,10,11,14]]; G[1561]:=Group([(1,11)(2,10)(5,13)(6,12)]); # Design 1562: autom. group order 2, simple, residual B[1562]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,11],[1,2,3,9,12,13,14],[1,2,4,6,10,13,14],[1,3,5,8,11,13,14],[1,4,5,7,11,13,14],[1,4,6,7,9,11,12],[1,4,8,9,10,12,13],[1,5,6,9,11,12,14],[1,5,7,8,10,12,13],[1,6,7,8,9,10,14],[2,3,7,9,12,13,14],[2,4,5,7,9,10,14],[2,4,5,10,11,12,13],[2,4,6,8,9,11,13],[2,5,6,8,10,12,14],[2,5,7,8,9,11,12],[2,6,7,8,11,13,14],[3,4,5,6,8,12,14],[3,4,6,7,8,12,13],[3,4,7,10,11,12,14],[3,4,8,9,10,11,14],[3,5,6,7,9,10,13],[3,5,6,9,10,11,13]]; G[1562]:=Group([(1,11)(2,10)(5,14)(6,12)]); # Design 1563: autom. group order 2, simple, residual B[1563]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,12,13,14],[1,3,5,9,10,12,14],[1,4,5,7,8,11,14],[1,4,6,8,9,10,12],[1,4,7,9,10,11,13],[1,5,6,7,12,13,14],[1,5,8,9,11,12,13],[1,6,7,8,10,11,14],[2,3,7,8,11,12,14],[2,4,5,8,10,12,14],[2,4,5,10,11,13,14],[2,4,6,7,9,11,12],[2,5,6,7,8,9,13],[2,5,7,9,10,11,12],[2,6,8,9,10,13,14],[3,4,5,6,10,11,13],[3,4,6,8,9,11,14],[3,4,7,8,10,12,13],[3,4,7,9,12,13,14],[3,5,6,7,9,10,14],[3,5,6,8,11,12,13]]; G[1563]:=Group([(1,9)(2,14)(4,10)(8,12)]); # Design 1564: autom. group order 2, simple B[1564]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,12,13,14],[1,3,5,9,10,12,14],[1,4,5,7,8,11,14],[1,4,6,8,9,10,12],[1,4,7,9,10,11,13],[1,5,6,7,12,13,14],[1,5,8,10,11,13,14],[1,6,7,8,9,11,12],[2,3,7,8,11,12,14],[2,4,5,8,10,12,14],[2,4,5,9,11,12,13],[2,4,6,7,10,11,14],[2,5,6,7,8,9,13],[2,5,7,9,10,11,12],[2,6,8,9,10,13,14],[3,4,5,6,10,11,13],[3,4,6,8,9,11,14],[3,4,7,8,10,12,13],[3,4,7,9,12,13,14],[3,5,6,7,9,10,14],[3,5,6,8,11,12,13]]; G[1564]:=Group([(1,9)(2,14)(4,10)(8,12)]); # Design 1565: autom. group order 2, simple, residual B[1565]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,12,13,14],[1,3,5,9,10,13,14],[1,4,5,7,8,11,14],[1,4,6,8,9,10,13],[1,4,7,9,10,11,12],[1,5,6,7,12,13,14],[1,5,8,9,11,12,13],[1,6,7,8,10,11,14],[2,3,7,8,11,13,14],[2,4,5,8,10,13,14],[2,4,5,10,11,12,14],[2,4,6,7,9,11,13],[2,5,6,7,8,9,12],[2,5,7,9,10,11,13],[2,6,8,9,10,12,14],[3,4,5,6,10,11,12],[3,4,6,9,11,13,14],[3,4,7,8,9,12,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,14],[3,5,6,8,11,12,13]]; G[1565]:=Group([(1,9)(2,14)(4,10)(8,13)]); # Design 1566: autom. group order 2, simple B[1566]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,12,13,14],[1,3,5,9,10,13,14],[1,4,5,7,8,11,14],[1,4,6,8,9,10,13],[1,4,7,9,10,11,12],[1,5,6,7,12,13,14],[1,5,8,10,11,12,14],[1,6,7,8,9,11,13],[2,3,7,8,11,13,14],[2,4,5,8,10,13,14],[2,4,5,9,11,12,13],[2,4,6,7,10,11,14],[2,5,6,7,8,9,12],[2,5,7,9,10,11,13],[2,6,8,9,10,12,14],[3,4,5,6,10,11,12],[3,4,6,9,11,13,14],[3,4,7,8,9,12,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,14],[3,5,6,8,11,12,13]]; G[1566]:=Group([(1,9)(2,14)(4,10)(8,13)]); # Design 1567: autom. group order 2, simple, residual B[1567]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,8,12,14],[1,3,5,9,10,12,14],[1,4,5,7,9,11,13],[1,4,6,9,10,12,13],[1,4,7,10,12,13,14],[1,5,6,8,11,13,14],[1,5,7,8,10,11,12],[1,6,7,8,9,11,14],[2,3,7,11,12,13,14],[2,4,5,7,10,11,14],[2,4,5,8,12,13,14],[2,4,6,7,9,11,12],[2,5,6,9,10,13,14],[2,5,8,9,10,11,12],[2,6,7,8,9,10,13],[3,4,5,6,10,11,13],[3,4,6,8,10,11,14],[3,4,7,8,9,10,14],[3,4,8,9,11,12,13],[3,5,6,7,8,12,13],[3,5,6,7,9,12,14]]; G[1567]:=Group([(2,12)(3,10)(5,13)(7,9)(8,14)]); # Design 1568: autom. group order 2, simple B[1568]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,8,12,14],[1,3,5,9,10,12,14],[1,4,5,7,9,11,13],[1,4,6,9,10,12,13],[1,4,7,10,12,13,14],[1,5,6,8,11,13,14],[1,5,7,8,10,11,12],[1,6,7,8,9,11,14],[2,3,7,11,12,13,14],[2,4,5,7,10,11,14],[2,4,5,8,12,13,14],[2,4,6,9,10,11,14],[2,5,6,7,9,12,13],[2,5,8,9,10,11,12],[2,6,7,8,9,10,13],[3,4,5,6,10,11,13],[3,4,6,7,8,11,12],[3,4,7,8,9,10,14],[3,4,8,9,11,12,13],[3,5,6,7,9,12,14],[3,5,6,8,10,13,14]]; G[1568]:=Group([(2,12)(3,10)(5,13)(7,9)(8,14)]); # Design 1569: autom. group order 2, simple, residual B[1569]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,9,10,13,14],[1,4,5,7,10,11,14],[1,4,6,8,10,11,13],[1,4,8,9,11,13,14],[1,5,6,7,11,12,14],[1,5,7,8,9,10,12],[1,6,7,8,9,12,13],[2,3,7,8,9,11,14],[2,4,5,7,9,11,13],[2,4,5,8,10,12,13],[2,4,6,9,10,12,14],[2,5,6,7,8,13,14],[2,5,8,10,11,12,14],[2,6,7,9,10,11,13],[3,4,5,6,11,12,13],[3,4,6,7,8,10,14],[3,4,7,8,12,13,14],[3,4,7,9,10,11,12],[3,5,6,8,9,11,12],[3,5,6,9,10,13,14]]; G[1569]:=Group([(2,3)(4,13)(5,12)(6,10)(8,11)(9,14)]); # Design 1570: autom. group order 2, simple, residual B[1570]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,9,10,13,14],[1,4,5,7,10,11,14],[1,4,6,8,10,11,13],[1,4,8,9,11,13,14],[1,5,6,7,11,12,14],[1,5,7,8,9,10,12],[1,6,7,8,9,12,13],[2,3,7,8,9,11,14],[2,4,5,7,8,13,14],[2,4,5,10,11,12,13],[2,4,6,9,10,12,14],[2,5,6,7,9,11,13],[2,5,8,9,10,11,12],[2,6,7,8,10,13,14],[3,4,5,6,8,12,13],[3,4,6,7,9,10,11],[3,4,7,8,10,12,14],[3,4,7,9,11,12,13],[3,5,6,8,11,12,14],[3,5,6,9,10,13,14]]; G[1570]:=Group([(2,3)(4,13)(5,12)(6,10)(8,11)(9,14)]); # Design 1571: autom. group order 2, simple, residual B[1571]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,11],[1,2,3,9,12,13,14],[1,2,4,6,10,13,14],[1,3,5,8,11,13,14],[1,4,5,9,10,12,13],[1,4,6,7,9,11,12],[1,4,7,8,10,12,13],[1,5,6,7,11,13,14],[1,5,7,8,9,10,14],[1,6,8,9,11,12,14],[2,3,7,9,12,13,14],[2,4,5,8,11,12,14],[2,4,5,10,11,12,14],[2,4,6,7,8,13,14],[2,5,6,7,8,9,12],[2,5,7,9,10,11,13],[2,6,8,9,10,11,13],[3,4,5,6,9,11,13],[3,4,6,8,9,10,14],[3,4,7,8,11,12,13],[3,4,7,9,10,11,14],[3,5,6,7,10,12,14],[3,5,6,8,10,12,13]]; G[1571]:=Group([(1,10)(3,11)(4,13)(5,9)(7,8)]); # Design 1572: autom. group order 2, simple, residual B[1572]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,11],[1,2,3,9,12,13,14],[1,2,4,6,10,13,14],[1,3,5,8,11,13,14],[1,4,5,9,10,12,13],[1,4,6,7,9,11,14],[1,4,7,8,10,12,13],[1,5,6,7,11,12,13],[1,5,7,8,9,10,14],[1,6,8,9,11,12,14],[2,3,7,9,12,13,14],[2,4,5,8,11,12,14],[2,4,5,10,11,12,14],[2,4,6,7,8,13,14],[2,5,6,7,8,9,12],[2,5,7,9,10,11,13],[2,6,8,9,10,11,13],[3,4,5,6,9,11,13],[3,4,6,8,9,10,12],[3,4,7,8,11,12,13],[3,4,7,9,10,11,14],[3,5,6,7,10,12,14],[3,5,6,8,10,13,14]]; G[1572]:=Group([(1,10)(3,11)(4,13)(5,9)(7,8)]); # Design 1573: autom. group order 2, simple, residual B[1573]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,11],[1,2,3,9,12,13,14],[1,2,4,6,10,13,14],[1,3,5,8,11,13,14],[1,4,5,9,10,12,13],[1,4,6,7,9,11,14],[1,4,7,8,10,13,14],[1,5,6,7,11,12,13],[1,5,7,8,9,10,12],[1,6,8,9,11,12,14],[2,3,7,9,12,13,14],[2,4,5,8,11,12,14],[2,4,5,10,11,12,14],[2,4,6,7,8,12,13],[2,5,6,7,8,9,14],[2,5,7,9,10,11,13],[2,6,8,9,10,11,13],[3,4,5,6,9,11,13],[3,4,6,8,9,10,12],[3,4,7,8,11,12,13],[3,4,7,9,10,11,14],[3,5,6,7,10,12,14],[3,5,6,8,10,13,14]]; G[1573]:=Group([(1,10)(3,11)(4,13)(5,9)(7,8)]); # Design 1574: autom. group order 2, simple, residual B[1574]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,3,9,10,11,13],[1,2,4,6,10,12,14],[1,3,5,11,12,13,14],[1,4,5,8,10,12,14],[1,4,6,7,8,11,13],[1,4,7,9,10,13,14],[1,5,6,8,9,10,13],[1,5,7,9,11,12,14],[1,6,7,8,9,11,12],[2,3,7,8,9,12,14],[2,4,5,7,9,10,11],[2,4,5,7,11,12,13],[2,4,6,9,12,13,14],[2,5,6,8,9,12,13],[2,5,8,10,11,13,14],[2,6,7,8,10,11,14],[3,4,5,6,8,11,14],[3,4,6,9,11,13,14],[3,4,7,8,10,12,13],[3,4,8,9,10,11,12],[3,5,6,7,9,10,14],[3,5,6,7,10,12,13]]; G[1574]:=Group([(1,10)(3,11)(4,14)(5,8)(9,13)]); # Design 1575: autom. group order 2, simple, residual B[1575]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,3,8,12,13,14],[1,2,4,6,9,10,14],[1,3,5,9,11,13,14],[1,4,5,8,10,12,13],[1,4,6,7,8,11,12],[1,4,7,8,9,11,13],[1,5,6,9,11,12,14],[1,5,7,8,10,12,14],[1,6,7,9,10,13,14],[2,3,7,8,9,12,14],[2,4,5,7,10,13,14],[2,4,5,9,10,11,12],[2,4,6,8,11,13,14],[2,5,6,7,8,11,14],[2,5,7,9,11,12,13],[2,6,8,9,10,12,13],[3,4,5,6,12,13,14],[3,4,6,7,9,12,13],[3,4,7,10,11,12,14],[3,4,8,9,10,11,14],[3,5,6,7,8,9,10],[3,5,6,8,10,11,13]]; G[1575]:=Group([(1,11)(2,10)(5,14)(6,12)]); # Design 1576: autom. group order 2, simple B[1576]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,12,13,14],[1,3,5,9,10,12,14],[1,4,5,8,11,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,11,13],[1,5,6,7,12,13,14],[1,5,7,8,9,11,12],[1,6,7,8,10,11,14],[2,3,7,8,11,12,14],[2,4,5,7,10,11,14],[2,4,5,8,10,12,14],[2,4,6,7,9,11,12],[2,5,6,7,8,9,13],[2,5,9,10,11,12,13],[2,6,8,9,10,13,14],[3,4,5,6,10,11,13],[3,4,6,8,9,11,14],[3,4,7,8,10,12,13],[3,4,7,9,12,13,14],[3,5,6,7,9,10,14],[3,5,6,8,11,12,13]]; G[1576]:=Group([(1,9)(2,14)(4,10)(8,12)]); # Design 1577: autom. group order 2, simple B[1577]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,12,13,14],[1,3,5,9,10,12,14],[1,4,5,8,11,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,11,13],[1,5,6,7,12,13,14],[1,5,7,8,10,11,14],[1,6,7,8,9,11,12],[2,3,7,8,11,12,14],[2,4,5,7,9,11,12],[2,4,5,8,10,12,14],[2,4,6,7,10,11,14],[2,5,6,7,8,9,13],[2,5,9,10,11,12,13],[2,6,8,9,10,13,14],[3,4,5,6,10,11,13],[3,4,6,8,9,11,14],[3,4,7,8,10,12,13],[3,4,7,9,12,13,14],[3,5,6,7,9,10,14],[3,5,6,8,11,12,13]]; G[1577]:=Group([(1,9)(2,14)(4,10)(8,12)]); # Design 1578: autom. group order 2, simple B[1578]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,12,13,14],[1,3,5,9,10,13,14],[1,4,5,8,11,12,14],[1,4,6,8,9,10,13],[1,4,7,9,10,11,12],[1,5,6,7,12,13,14],[1,5,7,8,9,11,13],[1,6,7,8,10,11,14],[2,3,7,8,11,13,14],[2,4,5,7,10,11,14],[2,4,5,8,10,13,14],[2,4,6,7,9,11,13],[2,5,6,7,8,9,12],[2,5,9,10,11,12,13],[2,6,8,9,10,12,14],[3,4,5,6,10,11,12],[3,4,6,9,11,13,14],[3,4,7,8,9,12,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,14],[3,5,6,8,11,12,13]]; G[1578]:=Group([(1,9)(2,14)(4,10)(8,13)]); # Design 1579: autom. group order 2, simple B[1579]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,12,13,14],[1,3,5,9,10,13,14],[1,4,5,8,11,12,14],[1,4,6,8,9,10,13],[1,4,7,9,10,11,12],[1,5,6,7,12,13,14],[1,5,7,8,10,11,14],[1,6,7,8,9,11,13],[2,3,7,8,11,13,14],[2,4,5,7,9,11,13],[2,4,5,8,10,13,14],[2,4,6,7,10,11,14],[2,5,6,7,8,9,12],[2,5,9,10,11,12,13],[2,6,8,9,10,12,14],[3,4,5,6,10,11,12],[3,4,6,9,11,13,14],[3,4,7,8,9,12,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,14],[3,5,6,8,11,12,13]]; G[1579]:=Group([(1,9)(2,14)(4,10)(8,13)]); # Design 1580: autom. group order 2, simple, residual B[1580]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,3,9,11,12,13],[1,2,4,6,7,11,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,14],[1,4,6,8,10,12,13],[1,4,7,9,11,13,14],[1,5,6,8,9,11,13],[1,5,7,9,10,12,14],[1,6,7,8,9,10,12],[2,3,7,8,9,10,14],[2,4,5,7,10,12,13],[2,4,5,9,10,11,12],[2,4,6,9,10,13,14],[2,5,6,7,8,9,13],[2,5,8,11,12,13,14],[2,6,7,8,11,12,14],[3,4,5,6,8,12,14],[3,4,6,9,12,13,14],[3,4,7,8,9,11,12],[3,4,7,8,10,11,13],[3,5,6,7,10,11,13],[3,5,6,9,10,11,14]]; G[1580]:=Group([(1,11)(3,12)(4,14)(5,8)(9,13)]); # Design 1581: autom. group order 2, simple B[1581]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,3,9,11,12,13],[1,2,4,6,7,11,14],[1,3,5,7,8,12,14],[1,4,5,9,12,13,14],[1,4,6,8,11,13,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,5,7,8,9,10,11],[1,6,7,8,10,12,13],[2,3,7,9,10,13,14],[2,4,5,7,10,12,13],[2,4,5,8,10,11,12],[2,4,6,8,9,12,13],[2,5,6,9,10,11,14],[2,5,7,8,11,13,14],[2,6,7,8,9,12,14],[3,4,5,6,10,13,14],[3,4,6,7,8,9,10],[3,4,7,9,11,12,14],[3,4,8,10,11,12,14],[3,5,6,7,11,12,13],[3,5,6,8,9,11,13]]; G[1581]:=Group([(1,12)(2,11)(5,14)(6,10)(7,8)]); # Design 1582: autom. group order 2, simple, residual B[1582]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,3,9,11,12,13],[1,2,4,6,7,11,14],[1,3,5,7,8,12,14],[1,4,5,9,12,13,14],[1,4,6,8,11,13,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,5,7,8,10,11,13],[1,6,7,8,9,10,12],[2,3,7,9,10,13,14],[2,4,5,7,10,12,13],[2,4,5,8,10,11,12],[2,4,6,8,9,12,13],[2,5,6,9,10,11,14],[2,5,7,8,9,11,14],[2,6,7,8,12,13,14],[3,4,5,6,10,13,14],[3,4,6,7,8,9,10],[3,4,7,9,11,12,14],[3,4,8,10,11,12,14],[3,5,6,7,11,12,13],[3,5,6,8,9,11,13]]; G[1582]:=Group([(1,12)(2,11)(5,14)(6,10)(7,8)]); # Design 1583: autom. group order 2, simple B[1583]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,3,9,11,12,13],[1,2,4,6,7,11,14],[1,3,5,7,8,12,14],[1,4,5,9,12,13,14],[1,4,6,8,11,13,14],[1,4,7,9,10,11,13],[1,5,6,10,12,13,14],[1,5,7,8,9,10,11],[1,6,7,8,9,10,12],[2,3,7,9,10,13,14],[2,4,5,7,10,12,13],[2,4,5,8,10,11,12],[2,4,6,8,9,12,13],[2,5,6,9,10,11,14],[2,5,7,8,11,13,14],[2,6,7,8,9,12,14],[3,4,5,6,9,10,14],[3,4,6,7,8,10,13],[3,4,7,9,11,12,14],[3,4,8,10,11,12,14],[3,5,6,7,11,12,13],[3,5,6,8,9,11,13]]; G[1583]:=Group([(1,12)(2,11)(5,14)(6,10)(7,8)]); # Design 1584: autom. group order 2, simple B[1584]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,3,9,11,12,13],[1,2,4,6,7,11,14],[1,3,5,7,8,12,14],[1,4,5,9,10,11,13],[1,4,6,8,11,13,14],[1,4,7,8,9,12,13],[1,5,6,9,10,12,14],[1,5,7,9,10,11,14],[1,6,7,8,10,12,13],[2,3,7,9,10,13,14],[2,4,5,7,10,12,13],[2,4,5,8,10,11,12],[2,4,6,9,12,13,14],[2,5,6,8,9,12,14],[2,5,7,8,11,13,14],[2,6,7,8,9,10,11],[3,4,5,6,10,13,14],[3,4,6,7,8,9,10],[3,4,7,9,11,12,14],[3,4,8,10,11,12,14],[3,5,6,7,11,12,13],[3,5,6,8,9,11,13]]; G[1584]:=Group([(1,12)(2,11)(5,14)(6,10)(7,8)]); # Design 1585: autom. group order 2, simple, residual B[1585]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,3,9,11,12,13],[1,2,4,6,7,11,14],[1,3,5,7,8,12,14],[1,4,5,9,10,11,13],[1,4,6,8,11,13,14],[1,4,7,8,9,12,13],[1,5,6,9,10,12,14],[1,5,7,10,11,13,14],[1,6,7,8,9,10,12],[2,3,7,9,10,13,14],[2,4,5,7,10,12,13],[2,4,5,8,10,11,12],[2,4,6,9,12,13,14],[2,5,6,8,12,13,14],[2,5,7,8,9,11,14],[2,6,7,8,9,10,11],[3,4,5,6,9,10,14],[3,4,6,7,8,10,13],[3,4,7,9,11,12,14],[3,4,8,10,11,12,14],[3,5,6,7,11,12,13],[3,5,6,8,9,11,13]]; G[1585]:=Group([(1,12)(2,11)(5,14)(6,10)(7,8)]); # Design 1586: autom. group order 2, simple B[1586]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,3,9,11,12,13],[1,2,4,6,7,11,14],[1,3,5,7,8,12,14],[1,4,5,9,10,11,13],[1,4,6,8,11,13,14],[1,4,7,8,9,12,13],[1,5,6,10,12,13,14],[1,5,7,9,10,11,14],[1,6,7,8,9,10,12],[2,3,7,9,10,13,14],[2,4,5,7,10,12,13],[2,4,5,8,10,11,12],[2,4,6,9,12,13,14],[2,5,6,8,9,12,14],[2,5,7,8,11,13,14],[2,6,7,8,9,10,11],[3,4,5,6,9,10,14],[3,4,6,7,8,10,13],[3,4,7,9,11,12,14],[3,4,8,10,11,12,14],[3,5,6,7,11,12,13],[3,5,6,8,9,11,13]]; G[1586]:=Group([(1,12)(2,11)(5,14)(6,10)(7,8)]); # Design 1587: autom. group order 2, simple, residual B[1587]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,7,12,14],[1,3,5,7,11,13,14],[1,4,5,9,10,11,13],[1,4,6,8,9,12,13],[1,4,7,9,10,11,14],[1,5,6,8,10,11,12],[1,5,7,8,10,12,14],[1,6,7,8,9,13,14],[2,3,7,8,9,10,14],[2,4,5,7,8,10,13],[2,4,5,9,11,12,14],[2,4,6,8,11,13,14],[2,5,6,9,10,13,14],[2,5,7,8,11,12,13],[2,6,7,9,10,11,12],[3,4,5,6,10,12,14],[3,4,6,7,10,11,13],[3,4,7,8,9,11,12],[3,4,8,10,12,13,14],[3,5,6,7,9,12,13],[3,5,6,8,9,11,14]]; G[1587]:=Group([(2,3)(4,13)(5,12)(6,11)(7,14)(8,10)]); # Design 1588: autom. group order 2, simple, residual B[1588]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,7,12,14],[1,3,5,7,11,13,14],[1,4,5,9,10,11,12],[1,4,6,8,10,11,13],[1,4,7,8,10,13,14],[1,5,6,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,9,10,12,14],[2,3,7,8,9,10,14],[2,4,5,7,10,12,13],[2,4,5,9,10,11,14],[2,4,6,9,11,13,14],[2,5,6,8,10,13,14],[2,5,7,8,11,12,13],[2,6,7,8,9,11,12],[3,4,5,6,8,12,14],[3,4,6,7,9,11,13],[3,4,7,8,10,11,12],[3,4,8,9,12,13,14],[3,5,6,7,9,10,13],[3,5,6,10,11,12,14]]; G[1588]:=Group([(2,14)(3,7)(4,11)(6,13)]); # Design 1589: autom. group order 2, simple B[1589]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,7,12,14],[1,3,5,7,11,13,14],[1,4,5,9,10,11,12],[1,4,6,8,10,11,13],[1,4,7,8,10,13,14],[1,5,6,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,9,10,12,14],[2,3,7,8,9,10,14],[2,4,5,7,9,10,13],[2,4,5,8,11,12,14],[2,4,6,9,11,13,14],[2,5,6,8,10,13,14],[2,5,7,10,11,12,13],[2,6,7,8,9,11,12],[3,4,5,6,10,12,14],[3,4,6,7,9,11,13],[3,4,7,8,10,11,12],[3,4,8,9,12,13,14],[3,5,6,7,8,12,13],[3,5,6,9,10,11,14]]; G[1589]:=Group([(2,14)(3,7)(4,11)(6,13)]); # Design 1590: autom. group order 2, simple, residual B[1590]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,7,12,14],[1,3,5,7,11,13,14],[1,4,5,9,10,11,12],[1,4,6,8,10,11,13],[1,4,7,8,10,13,14],[1,5,6,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,9,10,12,14],[2,3,7,8,9,10,14],[2,4,5,7,8,12,13],[2,4,5,9,10,11,14],[2,4,6,9,11,13,14],[2,5,6,8,10,13,14],[2,5,7,10,11,12,13],[2,6,7,8,9,11,12],[3,4,5,6,10,12,14],[3,4,6,7,9,11,13],[3,4,7,8,10,11,12],[3,4,8,9,12,13,14],[3,5,6,7,9,10,13],[3,5,6,8,11,12,14]]; G[1590]:=Group([(2,14)(3,7)(4,11)(6,13)]); # Design 1591: autom. group order 2, simple, residual B[1591]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,7,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,11,13],[1,4,7,8,10,13,14],[1,5,6,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,9,10,12,14],[2,3,7,8,9,10,14],[2,4,5,7,9,10,13],[2,4,5,9,11,12,14],[2,4,6,8,11,13,14],[2,5,6,8,10,13,14],[2,5,7,10,11,12,13],[2,6,7,8,9,11,12],[3,4,5,6,10,12,14],[3,4,6,7,9,11,13],[3,4,7,8,10,11,12],[3,4,8,9,12,13,14],[3,5,6,7,8,12,13],[3,5,6,9,10,11,14]]; G[1591]:=Group([(2,14)(3,7)(4,11)(6,13)]); # Design 1592: autom. group order 2, simple, residual B[1592]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,3,9,11,12,13],[1,2,4,6,7,13,14],[1,3,5,7,8,11,14],[1,4,5,9,10,13,14],[1,4,6,9,10,11,14],[1,4,7,8,9,11,12],[1,5,6,8,10,12,13],[1,5,7,10,11,12,14],[1,6,7,8,9,12,13],[2,3,7,9,10,12,14],[2,4,5,8,9,10,12],[2,4,5,11,12,13,14],[2,4,6,7,8,10,11],[2,5,6,7,9,12,14],[2,5,7,8,10,11,13],[2,6,8,9,11,13,14],[3,4,5,6,11,12,13],[3,4,6,8,10,12,14],[3,4,7,8,12,13,14],[3,4,7,9,10,11,13],[3,5,6,7,9,10,13],[3,5,6,8,9,11,14]]; G[1592]:=Group([(1,8)(2,14)(4,11)(7,9)]); # Design 1593: autom. group order 2, simple, residual B[1593]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,7,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,12,13],[1,4,6,9,10,11,13],[1,4,7,8,9,12,14],[1,5,6,8,9,11,12],[1,5,7,9,10,13,14],[1,6,7,8,10,11,14],[2,3,7,8,9,10,14],[2,4,5,8,11,13,14],[2,4,5,9,10,11,14],[2,4,6,7,9,11,13],[2,5,6,7,10,12,13],[2,5,7,8,10,11,12],[2,6,8,9,12,13,14],[3,4,5,6,10,12,14],[3,4,6,8,10,13,14],[3,4,7,8,11,12,13],[3,4,7,9,10,11,12],[3,5,6,7,8,9,13],[3,5,6,9,11,12,14]]; G[1593]:=Group([(2,7)(3,14)(5,12)]); # Design 1594: autom. group order 2, simple, residual B[1594]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,7,12,14],[1,3,5,7,11,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,11,13],[1,4,7,8,9,12,14],[1,5,6,8,9,12,13],[1,5,7,9,10,13,14],[1,6,7,8,10,11,14],[2,3,7,8,9,10,14],[2,4,5,8,11,13,14],[2,4,5,9,10,11,14],[2,4,6,10,12,13,14],[2,5,6,7,9,11,12],[2,5,7,8,10,12,13],[2,6,7,8,9,11,13],[3,4,5,6,7,10,13],[3,4,6,8,9,13,14],[3,4,7,8,11,12,13],[3,4,7,9,10,11,12],[3,5,6,8,10,12,14],[3,5,6,9,11,12,14]]; G[1594]:=Group([(2,7)(3,14)(5,12)]); # Design 1595: autom. group order 2, simple B[1595]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,3,9,12,13,14],[1,2,4,6,7,13,14],[1,3,5,7,10,12,14],[1,4,5,8,10,11,12],[1,4,6,8,9,12,13],[1,4,9,10,11,13,14],[1,5,6,7,8,9,11],[1,5,7,8,12,13,14],[1,6,7,9,10,11,14],[2,3,7,8,9,11,14],[2,4,5,7,10,11,13],[2,4,5,9,11,12,14],[2,4,6,8,10,12,14],[2,5,6,8,9,10,14],[2,5,7,9,10,12,13],[2,6,7,8,11,12,13],[3,4,5,6,11,13,14],[3,4,6,7,9,10,12],[3,4,7,8,9,10,13],[3,4,7,8,11,12,14],[3,5,6,8,10,13,14],[3,5,6,9,11,12,13]]; G[1595]:=Group([(2,11)(3,10)(4,9)(5,14)(8,13)]); # Design 1596: autom. group order 2, simple, residual B[1596]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,3,9,12,13,14],[1,2,4,6,7,13,14],[1,3,5,7,10,12,14],[1,4,5,8,10,11,12],[1,4,6,8,9,12,13],[1,4,9,10,11,13,14],[1,5,6,7,8,9,11],[1,5,7,8,12,13,14],[1,6,7,9,10,11,14],[2,3,7,8,9,11,14],[2,4,5,7,10,11,13],[2,4,5,9,11,12,14],[2,4,6,8,10,12,14],[2,5,6,8,11,13,14],[2,5,7,9,10,12,13],[2,6,7,8,9,10,12],[3,4,5,6,9,10,14],[3,4,6,7,11,12,13],[3,4,7,8,9,10,13],[3,4,7,8,11,12,14],[3,5,6,8,10,13,14],[3,5,6,9,11,12,13]]; G[1596]:=Group([(2,11)(3,10)(4,9)(5,14)(8,13)]); # Design 1597: autom. group order 2, simple, residual B[1597]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,9,11,13],[1,2,4,6,12,13,14],[1,3,5,7,8,12,14],[1,4,5,8,10,11,12],[1,4,6,7,9,10,11],[1,4,8,9,10,13,14],[1,5,6,11,12,13,14],[1,5,7,9,11,13,14],[1,6,7,8,9,10,12],[2,3,9,10,11,12,14],[2,4,5,7,10,11,13],[2,4,5,9,10,12,14],[2,4,7,8,11,12,13],[2,5,6,7,8,10,14],[2,5,6,8,9,12,13],[2,6,7,8,9,11,14],[3,4,5,6,9,11,14],[3,4,6,7,9,12,13],[3,4,6,8,10,13,14],[3,4,7,8,11,12,14],[3,5,6,8,10,11,13],[3,5,7,9,10,12,13]]; G[1597]:=Group([(2,13)(3,14)(4,11)(6,9)(8,12)]); # Design 1598: autom. group order 2, simple, residual B[1598]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,12,13,14],[1,3,5,7,10,13,14],[1,4,5,8,10,11,14],[1,4,6,7,9,11,14],[1,4,8,9,10,12,13],[1,5,6,8,11,12,13],[1,5,7,9,11,12,13],[1,6,7,8,9,10,14],[2,3,8,9,11,13,14],[2,4,5,7,8,13,14],[2,4,5,9,10,11,13],[2,4,7,10,11,12,14],[2,5,6,7,8,9,12],[2,5,6,9,10,12,14],[2,6,7,8,10,11,13],[3,4,5,6,10,11,12],[3,4,6,7,9,11,13],[3,4,6,8,12,13,14],[3,4,7,8,9,10,12],[3,5,6,9,10,13,14],[3,5,7,8,11,12,14]]; G[1598]:=Group([(2,12)(3,13)(4,11)(6,9)]); # Design 1599: autom. group order 2, simple, residual B[1599]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,3,9,10,11,13],[1,2,4,6,10,12,14],[1,3,5,7,9,12,14],[1,4,5,8,11,12,13],[1,4,6,9,12,13,14],[1,4,7,8,9,10,11],[1,5,6,8,10,11,14],[1,5,7,10,11,13,14],[1,6,7,8,9,12,13],[2,3,8,11,12,13,14],[2,4,5,7,11,12,13],[2,4,5,9,10,13,14],[2,4,7,8,10,12,14],[2,5,6,7,9,11,14],[2,5,6,8,9,11,12],[2,6,7,8,9,10,13],[3,4,5,6,8,10,13],[3,4,6,7,8,11,14],[3,4,6,9,11,13,14],[3,4,7,9,10,11,12],[3,5,6,7,10,12,13],[3,5,8,9,10,12,14]]; G[1599]:=Group([(2,10)(3,11)(4,14)(7,8)(9,13)]); # Design 1600: autom. group order 2, simple B[1600]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,3,9,10,13,14],[1,2,4,6,11,12,13],[1,3,5,7,9,11,12],[1,4,5,8,10,11,14],[1,4,6,9,11,13,14],[1,4,7,8,9,10,12],[1,5,6,8,12,13,14],[1,5,7,10,12,13,14],[1,6,7,8,9,10,11],[2,3,8,10,11,12,14],[2,4,5,7,10,11,14],[2,4,5,9,10,12,13],[2,4,7,8,11,12,13],[2,5,6,7,9,12,14],[2,5,6,8,9,11,14],[2,6,7,8,9,10,13],[3,4,5,6,8,10,13],[3,4,6,7,8,12,14],[3,4,6,9,10,12,14],[3,4,7,9,11,13,14],[3,5,6,7,10,11,13],[3,5,8,9,11,12,13]]; G[1600]:=Group([(2,13)(3,14)(4,12)(7,8)(9,10)]); # Design 1601: autom. group order 2, simple B[1601]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,9,11,13],[1,2,4,6,12,13,14],[1,3,5,8,10,12,14],[1,4,5,7,8,11,12],[1,4,6,7,9,10,11],[1,4,8,9,10,13,14],[1,5,6,11,12,13,14],[1,5,7,9,11,13,14],[1,6,7,8,9,10,12],[2,3,7,9,11,12,14],[2,4,5,7,10,11,13],[2,4,5,9,10,12,14],[2,4,8,10,11,12,13],[2,5,6,7,8,10,14],[2,5,6,8,9,11,14],[2,6,7,8,9,12,13],[3,4,5,6,9,12,13],[3,4,6,7,8,13,14],[3,4,6,9,10,11,14],[3,4,7,8,11,12,14],[3,5,6,8,10,11,13],[3,5,7,9,10,12,13]]; G[1601]:=Group([(2,13)(3,14)(4,11)(6,9)(8,12)]); # Design 1602: autom. group order 2, simple B[1602]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,11],[1,2,3,9,12,13,14],[1,2,4,6,10,13,14],[1,3,5,8,11,13,14],[1,4,5,7,9,10,13],[1,4,6,7,8,12,13],[1,4,8,9,10,12,14],[1,5,6,9,11,12,13],[1,5,7,10,11,12,14],[1,6,7,8,9,11,14],[2,3,7,9,12,13,14],[2,4,5,7,11,12,14],[2,4,5,8,9,11,12],[2,4,8,10,11,13,14],[2,5,6,7,9,10,14],[2,5,6,8,10,12,13],[2,6,7,8,9,11,13],[3,4,5,6,11,13,14],[3,4,6,7,8,12,14],[3,4,6,9,10,11,12],[3,4,7,9,10,11,13],[3,5,6,8,9,10,14],[3,5,7,8,10,12,13]]; G[1602]:=Group([(2,3)(4,11)(5,10)(6,8)(9,12)(13,14)]); # Design 1603: autom. group order 2, simple B[1603]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,11],[1,2,3,9,12,13,14],[1,2,4,6,10,13,14],[1,3,5,8,11,13,14],[1,4,5,7,9,10,13],[1,4,6,7,8,12,13],[1,4,8,9,10,12,14],[1,5,6,9,11,12,13],[1,5,7,10,11,12,14],[1,6,7,8,9,11,14],[2,3,7,9,12,13,14],[2,4,5,7,11,12,14],[2,4,5,8,11,13,14],[2,4,8,9,10,11,12],[2,5,6,7,9,10,14],[2,5,6,8,10,12,13],[2,6,7,8,9,11,13],[3,4,5,6,9,11,12],[3,4,6,7,8,12,14],[3,4,6,10,11,13,14],[3,4,7,9,10,11,13],[3,5,6,8,9,10,14],[3,5,7,8,10,12,13]]; G[1603]:=Group([(2,3)(4,11)(5,10)(6,8)(9,12)(13,14)]); # Design 1604: autom. group order 2, simple B[1604]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,11],[1,2,3,9,12,13,14],[1,2,4,6,10,13,14],[1,3,5,8,11,13,14],[1,4,5,7,10,12,13],[1,4,6,7,8,9,13],[1,4,8,9,10,12,14],[1,5,6,9,11,12,13],[1,5,7,9,10,11,14],[1,6,7,8,11,12,14],[2,3,7,9,12,13,14],[2,4,5,7,11,12,14],[2,4,5,8,9,11,12],[2,4,8,10,11,13,14],[2,5,6,7,9,10,14],[2,5,6,8,10,12,13],[2,6,7,8,9,11,13],[3,4,5,6,11,13,14],[3,4,6,7,8,12,14],[3,4,6,9,10,11,12],[3,4,7,9,10,11,13],[3,5,6,8,9,10,14],[3,5,7,8,10,12,13]]; G[1604]:=Group([(2,3)(4,11)(5,10)(6,8)(9,12)(13,14)]); # Design 1605: autom. group order 2, simple B[1605]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,11],[1,2,3,9,12,13,14],[1,2,4,6,10,13,14],[1,3,5,8,11,13,14],[1,4,5,7,10,12,13],[1,4,6,7,8,9,13],[1,4,8,9,10,12,14],[1,5,6,9,11,12,13],[1,5,7,9,10,11,14],[1,6,7,8,11,12,14],[2,3,7,9,12,13,14],[2,4,5,7,11,12,14],[2,4,5,8,11,13,14],[2,4,8,9,10,11,12],[2,5,6,7,9,10,14],[2,5,6,8,10,12,13],[2,6,7,8,9,11,13],[3,4,5,6,9,11,12],[3,4,6,7,8,12,14],[3,4,6,10,11,13,14],[3,4,7,9,10,11,13],[3,5,6,8,9,10,14],[3,5,7,8,10,12,13]]; G[1605]:=Group([(2,3)(4,11)(5,10)(6,8)(9,12)(13,14)]); # Design 1606: autom. group order 2, simple, residual B[1606]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,11,12,14],[1,3,5,9,12,13,14],[1,4,5,7,10,12,13],[1,4,6,8,9,10,12],[1,4,7,8,11,13,14],[1,5,6,7,10,11,14],[1,5,8,9,10,11,14],[1,6,7,8,9,12,13],[2,3,7,8,10,12,14],[2,4,5,7,9,12,14],[2,4,5,8,10,11,13],[2,4,9,10,11,12,13],[2,5,6,7,8,9,11],[2,5,6,8,12,13,14],[2,6,7,9,10,13,14],[3,4,5,6,10,13,14],[3,4,6,7,9,11,13],[3,4,6,8,9,10,14],[3,4,7,8,11,12,14],[3,5,6,8,11,12,13],[3,5,7,9,10,11,12]]; G[1606]:=Group([(2,11)(3,14)(4,10)]); # Design 1607: autom. group order 2, simple, residual B[1607]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,3,9,10,11,13],[1,2,4,6,10,12,14],[1,3,5,8,12,13,14],[1,4,5,7,9,11,12],[1,4,6,9,12,13,14],[1,4,7,8,9,10,11],[1,5,6,8,10,11,14],[1,5,7,10,11,13,14],[1,6,7,8,9,12,13],[2,3,7,9,11,12,14],[2,4,5,8,11,12,13],[2,4,5,9,10,13,14],[2,4,7,8,10,12,14],[2,5,6,7,11,12,13],[2,5,6,8,9,11,14],[2,6,7,8,9,10,13],[3,4,5,6,7,10,13],[3,4,6,7,8,11,14],[3,4,6,9,11,13,14],[3,4,8,10,11,12,13],[3,5,6,8,9,10,12],[3,5,7,9,10,12,14]]; G[1607]:=Group([(2,10)(3,11)(4,14)(7,8)(9,13)]); # Design 1608: autom. group order 2, simple B[1608]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,3,9,10,13,14],[1,2,4,6,11,12,13],[1,3,5,8,10,11,12],[1,4,5,7,9,11,14],[1,4,6,9,11,13,14],[1,4,7,8,9,10,12],[1,5,6,8,12,13,14],[1,5,7,10,12,13,14],[1,6,7,8,9,10,11],[2,3,7,9,11,12,14],[2,4,5,8,10,11,14],[2,4,5,9,10,12,13],[2,4,7,8,11,12,13],[2,5,6,7,10,11,14],[2,5,6,8,9,12,14],[2,6,7,8,9,10,13],[3,4,5,6,7,10,13],[3,4,6,7,8,12,14],[3,4,6,9,10,12,14],[3,4,8,10,11,13,14],[3,5,6,8,9,11,13],[3,5,7,9,11,12,13]]; G[1608]:=Group([(2,13)(3,14)(4,12)(7,8)(9,10)]); # Design 1609: autom. group order 2, simple, residual B[1609]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,11,12,13,14],[1,2,4,6,9,10,14],[1,3,5,9,11,13,14],[1,4,5,8,9,11,12],[1,4,6,7,8,13,14],[1,4,7,10,11,12,13],[1,5,6,7,8,11,12],[1,5,7,9,10,13,14],[1,6,8,9,10,12,14],[2,3,7,8,9,12,14],[2,4,5,7,10,11,14],[2,4,5,8,10,12,13],[2,4,7,9,11,12,14],[2,5,6,8,11,13,14],[2,5,6,9,10,12,13],[2,6,7,8,9,11,13],[3,4,5,6,12,13,14],[3,4,6,7,9,12,13],[3,4,6,8,10,11,14],[3,4,8,9,10,11,13],[3,5,6,7,9,10,11],[3,5,7,8,10,12,14]]; G[1609]:=Group([(2,12)(3,11)(4,8)]); # Design 1610: autom. group order 2, simple, residual B[1610]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,6,9,11,14],[1,3,5,9,10,13,14],[1,4,5,8,9,10,12],[1,4,6,7,8,13,14],[1,4,7,8,10,11,12],[1,5,6,7,11,12,14],[1,5,9,11,12,13,14],[1,6,7,8,9,10,13],[2,3,7,8,9,12,14],[2,4,5,7,10,12,13],[2,4,5,8,11,13,14],[2,4,7,9,10,11,14],[2,5,6,7,9,12,13],[2,5,6,8,10,11,13],[2,6,8,9,10,12,14],[3,4,5,6,10,12,14],[3,4,6,8,12,13,14],[3,4,6,9,10,11,13],[3,4,7,9,11,12,13],[3,5,6,7,8,9,11],[3,5,7,8,10,11,14]]; G[1610]:=Group([(2,11)(3,12)(4,14)(8,13)]); # Design 1611: autom. group order 2, simple, residual B[1611]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,6,9,11,14],[1,3,5,9,10,13,14],[1,4,5,8,9,10,12],[1,4,6,7,8,13,14],[1,4,7,8,10,11,12],[1,5,6,7,11,12,14],[1,5,9,11,12,13,14],[1,6,7,8,9,10,13],[2,3,7,8,9,12,14],[2,4,5,7,10,12,13],[2,4,5,8,11,13,14],[2,4,7,9,10,11,14],[2,5,6,7,9,12,13],[2,5,6,8,10,12,14],[2,6,8,9,10,11,13],[3,4,5,6,10,11,13],[3,4,6,8,12,13,14],[3,4,6,9,10,12,14],[3,4,7,9,11,12,13],[3,5,6,7,8,9,11],[3,5,7,8,10,11,14]]; G[1611]:=Group([(2,11)(3,12)(4,14)(8,13)]); # Design 1612: autom. group order 2, simple, residual B[1612]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,6,9,11,14],[1,3,5,8,9,10,14],[1,4,5,9,10,12,13],[1,4,6,7,8,13,14],[1,4,7,8,10,11,12],[1,5,6,7,11,12,14],[1,5,9,11,12,13,14],[1,6,7,8,9,10,13],[2,3,7,9,12,13,14],[2,4,5,7,10,12,13],[2,4,5,8,11,13,14],[2,4,7,9,10,11,14],[2,5,6,7,8,9,12],[2,5,6,8,10,11,13],[2,6,8,9,10,12,14],[3,4,5,6,10,12,14],[3,4,6,8,12,13,14],[3,4,6,9,10,11,13],[3,4,7,8,9,11,12],[3,5,6,7,9,11,13],[3,5,7,8,10,11,14]]; G[1612]:=Group([(2,11)(3,12)(4,14)(8,13)]); # Design 1613: autom. group order 2, simple, residual B[1613]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,6,9,11,14],[1,3,5,8,9,10,14],[1,4,5,9,10,12,13],[1,4,6,7,8,13,14],[1,4,7,8,10,11,12],[1,5,6,7,11,12,14],[1,5,9,11,12,13,14],[1,6,7,8,9,10,13],[2,3,7,9,12,13,14],[2,4,5,7,10,12,13],[2,4,5,8,11,13,14],[2,4,7,9,10,11,14],[2,5,6,7,8,9,12],[2,5,6,8,10,12,14],[2,6,8,9,10,11,13],[3,4,5,6,10,11,13],[3,4,6,8,12,13,14],[3,4,6,9,10,12,14],[3,4,7,8,9,11,12],[3,5,6,7,9,11,13],[3,5,7,8,10,11,14]]; G[1613]:=Group([(2,11)(3,12)(4,14)(8,13)]); # Design 1614: autom. group order 2, simple, residual B[1614]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,11,12,13,14],[1,2,4,6,9,13,14],[1,3,5,9,10,11,14],[1,4,5,8,11,13,14],[1,4,6,7,9,12,13],[1,4,7,8,10,12,14],[1,5,6,7,11,12,14],[1,5,8,9,10,12,13],[1,6,7,8,9,10,11],[2,3,7,8,9,12,14],[2,4,5,7,8,11,12],[2,4,5,9,10,11,12],[2,4,7,10,11,13,14],[2,5,6,7,9,10,14],[2,5,6,8,10,13,14],[2,6,8,9,11,12,13],[3,4,5,6,10,12,13],[3,4,6,8,9,11,14],[3,4,6,8,10,12,14],[3,4,7,9,10,11,13],[3,5,6,7,8,11,13],[3,5,7,9,12,13,14]]; G[1614]:=Group([(1,11)(3,12)(6,10)(7,9)]); # Design 1615: autom. group order 2, simple, residual B[1615]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,11,13,14],[1,3,5,8,12,13,14],[1,4,5,8,9,10,13],[1,4,6,7,9,10,12],[1,4,7,8,11,12,14],[1,5,6,7,10,11,14],[1,5,9,10,11,13,14],[1,6,7,8,9,12,13],[2,3,7,9,10,13,14],[2,4,5,7,12,13,14],[2,4,5,9,10,11,12],[2,4,7,8,10,11,13],[2,5,6,7,8,9,14],[2,5,6,8,10,12,14],[2,6,8,9,11,12,13],[3,4,5,6,11,12,13],[3,4,6,8,10,13,14],[3,4,6,9,10,12,14],[3,4,7,8,9,11,14],[3,5,6,7,9,11,13],[3,5,7,8,10,11,12]]; G[1615]:=Group([(2,11)(3,14)(4,10)(8,13)]); # Design 1616: autom. group order 2, simple B[1616]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,11,13,14],[1,3,5,8,12,13,14],[1,4,5,8,9,10,13],[1,4,6,7,9,10,12],[1,4,7,8,11,12,14],[1,5,6,7,10,11,14],[1,5,9,10,11,13,14],[1,6,7,8,9,12,13],[2,3,7,9,10,13,14],[2,4,5,7,12,13,14],[2,4,5,9,10,11,12],[2,4,7,8,10,11,13],[2,5,6,7,8,9,14],[2,5,6,8,11,12,13],[2,6,8,9,10,12,14],[3,4,5,6,10,12,14],[3,4,6,8,10,13,14],[3,4,6,9,11,12,13],[3,4,7,8,9,11,14],[3,5,6,7,9,11,13],[3,5,7,8,10,11,12]]; G[1616]:=Group([(2,11)(3,14)(4,10)(8,13)]); # Design 1617: autom. group order 2, simple, residual B[1617]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,11,12,13,14],[1,2,4,6,9,13,14],[1,3,5,9,10,11,14],[1,4,5,8,11,13,14],[1,4,6,7,9,12,13],[1,4,8,9,10,12,14],[1,5,6,7,11,12,14],[1,5,7,8,10,12,13],[1,6,7,8,9,10,11],[2,3,7,8,9,12,14],[2,4,5,7,8,11,12],[2,4,5,9,10,11,12],[2,4,7,10,11,13,14],[2,5,6,7,9,10,14],[2,5,6,8,10,13,14],[2,6,8,9,11,12,13],[3,4,5,6,10,12,13],[3,4,6,7,8,11,14],[3,4,6,8,10,12,14],[3,4,7,9,10,11,13],[3,5,6,8,9,11,13],[3,5,7,9,12,13,14]]; G[1617]:=Group([(1,11)(3,12)(6,10)(7,9)]); # Design 1618: autom. group order 2, simple B[1618]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,3,9,11,12,13],[1,2,4,6,7,13,14],[1,3,5,7,10,11,14],[1,4,5,7,8,11,12],[1,4,6,8,9,10,12],[1,4,7,9,10,13,14],[1,5,6,8,12,13,14],[1,5,9,11,12,13,14],[1,6,7,8,9,10,11],[2,3,7,8,9,12,14],[2,4,5,8,10,12,13],[2,4,5,9,10,11,14],[2,4,7,10,11,12,13],[2,5,6,7,9,12,14],[2,5,6,8,10,11,14],[2,6,7,8,9,11,13],[3,4,5,6,9,11,13],[3,4,6,8,11,13,14],[3,4,6,9,10,12,14],[3,4,7,8,11,12,14],[3,5,6,7,10,12,13],[3,5,7,8,9,10,13]]; G[1618]:=Group([(2,13)(3,14)(4,12)(6,9)(7,11)]); # Design 1619: autom. group order 2, simple, residual B[1619]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,3,9,11,12,13],[1,2,4,6,7,13,14],[1,3,5,7,8,11,14],[1,4,5,7,10,11,12],[1,4,6,8,9,10,12],[1,4,7,9,10,13,14],[1,5,6,8,12,13,14],[1,5,9,11,12,13,14],[1,6,7,8,9,10,11],[2,3,7,9,10,12,14],[2,4,5,8,10,12,13],[2,4,5,9,10,11,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,13],[2,5,6,8,10,11,14],[2,6,7,8,9,12,14],[3,4,5,6,9,12,14],[3,4,6,8,9,11,13],[3,4,6,10,11,13,14],[3,4,7,8,11,12,14],[3,5,6,7,10,12,13],[3,5,7,8,9,10,13]]; G[1619]:=Group([(2,13)(3,14)(4,12)(6,9)(7,11)]); # Design 1620: autom. group order 2, simple B[1620]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,7,12,14],[1,3,5,7,11,13,14],[1,4,5,9,10,11,13],[1,4,6,8,9,12,13],[1,4,7,9,10,11,14],[1,5,6,8,10,11,12],[1,5,7,8,10,12,14],[1,6,7,8,9,13,14],[2,3,7,8,9,10,14],[2,4,5,7,8,10,13],[2,4,5,9,11,12,14],[2,4,7,8,11,12,13],[2,5,6,8,11,13,14],[2,5,6,9,10,12,14],[2,6,7,9,10,11,13],[3,4,5,6,10,13,14],[3,4,6,7,10,11,12],[3,4,6,8,9,11,14],[3,4,8,10,12,13,14],[3,5,6,7,9,12,13],[3,5,7,8,9,11,12]]; G[1620]:=Group([(2,3)(4,13)(5,12)(6,11)(7,14)(8,10)]); # Design 1621: autom. group order 2, simple B[1621]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,3,9,11,12,13],[1,2,4,6,7,13,14],[1,3,5,7,10,11,14],[1,4,5,8,11,12,13],[1,4,6,8,9,10,13],[1,4,9,10,11,12,14],[1,5,6,7,8,11,12],[1,5,7,9,10,13,14],[1,6,7,8,9,12,14],[2,3,7,8,9,12,14],[2,4,5,7,9,10,11],[2,4,5,8,10,12,14],[2,4,7,11,12,13,14],[2,5,6,8,9,11,14],[2,5,6,9,10,12,13],[2,6,7,8,10,11,13],[3,4,5,6,12,13,14],[3,4,6,7,9,10,12],[3,4,6,8,10,11,14],[3,4,7,8,9,11,13],[3,5,6,9,11,13,14],[3,5,7,8,10,12,13]]; G[1621]:=Group([(2,12)(3,11)(4,8)(9,13)]); # Design 1622: autom. group order 2, simple B[1622]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,3,9,11,12,13],[1,2,4,6,7,13,14],[1,3,5,7,10,11,14],[1,4,5,8,11,12,13],[1,4,6,8,9,10,13],[1,4,9,10,11,12,14],[1,5,6,7,8,11,12],[1,5,7,9,10,13,14],[1,6,7,8,9,12,14],[2,3,7,8,9,12,14],[2,4,5,7,9,10,11],[2,4,5,8,10,12,14],[2,4,7,11,12,13,14],[2,5,6,8,11,13,14],[2,5,6,9,10,12,13],[2,6,7,8,9,10,11],[3,4,5,6,9,12,14],[3,4,6,7,10,12,13],[3,4,6,8,10,11,14],[3,4,7,8,9,11,13],[3,5,6,9,11,13,14],[3,5,7,8,10,12,13]]; G[1622]:=Group([(2,12)(3,11)(4,8)(9,13)]); # Design 1623: autom. group order 2, simple B[1623]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,3,9,12,13,14],[1,2,4,6,7,13,14],[1,3,5,7,10,12,14],[1,4,5,8,10,11,12],[1,4,6,8,9,12,13],[1,4,9,10,11,13,14],[1,5,6,7,8,9,11],[1,5,7,8,12,13,14],[1,6,7,9,10,11,14],[2,3,7,8,9,11,14],[2,4,5,7,10,11,13],[2,4,5,9,11,12,14],[2,4,7,8,10,12,14],[2,5,6,8,9,10,14],[2,5,6,9,10,12,13],[2,6,7,8,11,12,13],[3,4,5,6,11,13,14],[3,4,6,7,9,10,12],[3,4,6,8,11,12,14],[3,4,7,8,9,10,13],[3,5,6,8,10,13,14],[3,5,7,9,11,12,13]]; G[1623]:=Group([(2,11)(3,10)(4,9)(5,14)(8,13)]); # Design 1624: autom. group order 2, simple, residual B[1624]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,3,9,12,13,14],[1,2,4,6,7,13,14],[1,3,5,7,10,12,14],[1,4,5,8,10,11,12],[1,4,6,8,9,12,13],[1,4,9,10,11,13,14],[1,5,6,7,8,9,11],[1,5,7,8,12,13,14],[1,6,7,9,10,11,14],[2,3,7,8,9,11,14],[2,4,5,7,10,11,13],[2,4,5,9,11,12,14],[2,4,7,8,10,12,14],[2,5,6,8,11,13,14],[2,5,6,9,10,12,13],[2,6,7,8,9,10,12],[3,4,5,6,9,10,14],[3,4,6,7,11,12,13],[3,4,6,8,11,12,14],[3,4,7,8,9,10,13],[3,5,6,8,10,13,14],[3,5,7,9,11,12,13]]; G[1624]:=Group([(2,11)(3,10)(4,9)(5,14)(8,13)]); # Design 1625: autom. group order 2, simple, residual B[1625]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,7,10,14],[1,3,5,7,11,12,14],[1,4,5,8,10,12,13],[1,4,6,9,11,12,13],[1,4,8,9,10,11,14],[1,5,6,7,8,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,13,14],[2,3,7,8,9,13,14],[2,4,5,7,9,11,12],[2,4,5,8,11,13,14],[2,4,7,10,12,13,14],[2,5,6,8,9,12,14],[2,5,6,9,10,11,13],[2,6,7,8,10,11,12],[3,4,5,6,10,13,14],[3,4,6,7,9,11,13],[3,4,6,8,11,12,14],[3,4,7,8,9,10,12],[3,5,6,9,10,12,14],[3,5,7,8,10,11,13]]; G[1625]:=Group([(2,13)(3,12)(4,8)(9,10)]); # Design 1626: autom. group order 2, simple, residual B[1626]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,7,10,14],[1,3,5,7,11,12,14],[1,4,5,8,10,12,13],[1,4,6,9,11,12,13],[1,4,8,9,10,11,14],[1,5,6,7,8,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,13,14],[2,3,7,8,9,13,14],[2,4,5,7,9,11,12],[2,4,5,8,11,13,14],[2,4,7,10,12,13,14],[2,5,6,8,10,12,14],[2,5,6,9,10,11,13],[2,6,7,8,9,11,12],[3,4,5,6,9,13,14],[3,4,6,7,10,11,13],[3,4,6,8,11,12,14],[3,4,7,8,9,10,12],[3,5,6,9,10,12,14],[3,5,7,8,10,11,13]]; G[1626]:=Group([(2,13)(3,12)(4,8)(9,10)]); # Design 1627: autom. group order 2, simple, residual B[1627]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,3,9,10,11,13],[1,2,4,6,12,13,14],[1,3,5,7,10,12,14],[1,4,5,7,9,10,11],[1,4,7,8,9,12,13],[1,4,8,10,11,13,14],[1,5,6,8,9,11,12],[1,5,6,9,12,13,14],[1,6,7,8,10,11,14],[2,3,8,9,11,12,14],[2,4,5,6,8,11,14],[2,4,5,10,11,12,13],[2,4,6,7,9,10,14],[2,5,7,8,10,12,13],[2,5,7,9,11,13,14],[2,6,7,8,9,10,12],[3,4,5,8,10,12,14],[3,4,6,7,11,12,13],[3,4,6,8,9,10,13],[3,4,7,9,11,12,14],[3,5,6,7,8,11,13],[3,5,6,9,10,13,14]]; G[1627]:=Group([(2,11)(3,10)(4,8)(5,14)(9,13)]); # Design 1628: autom. group order 2, simple, residual B[1628]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,11,12,14],[1,2,4,6,12,13,14],[1,3,5,8,10,13,14],[1,4,5,7,10,11,12],[1,4,7,8,9,12,14],[1,4,8,9,10,11,13],[1,5,6,7,8,13,14],[1,5,6,9,11,12,14],[1,6,7,9,10,11,13],[2,3,7,9,11,13,14],[2,4,5,6,9,11,13],[2,4,5,7,10,11,14],[2,4,6,8,10,12,13],[2,5,7,8,9,10,12],[2,5,8,11,12,13,14],[2,6,7,8,9,10,14],[3,4,5,9,10,13,14],[3,4,6,7,8,11,14],[3,4,6,9,10,12,14],[3,4,7,8,11,12,13],[3,5,6,7,10,12,13],[3,5,6,8,9,11,12]]; G[1628]:=Group([(2,11)(3,10)(4,9)(5,13)]); # Design 1629: autom. group order 2, simple, residual B[1629]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,9,11,13,14],[1,4,5,7,11,12,14],[1,4,7,8,10,13,14],[1,4,8,9,10,11,13],[1,5,6,7,9,10,13],[1,5,6,8,10,12,14],[1,6,7,8,9,11,12],[2,3,7,8,9,10,14],[2,4,5,6,10,13,14],[2,4,5,8,10,11,12],[2,4,6,7,9,11,13],[2,5,7,8,11,13,14],[2,5,7,9,10,11,12],[2,6,8,9,12,13,14],[3,4,5,8,9,12,13],[3,4,6,7,8,11,14],[3,4,6,10,11,12,13],[3,4,7,9,10,12,14],[3,5,6,7,8,12,13],[3,5,6,9,10,11,14]]; G[1629]:=Group([(1,13)(2,12)(4,8)]); # Design 1630: autom. group order 2, simple, residual B[1630]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,6,9,13,14],[1,3,5,7,9,11,14],[1,4,5,7,8,10,12],[1,4,7,11,12,13,14],[1,4,9,10,11,12,14],[1,5,6,8,9,11,12],[1,5,6,8,10,13,14],[1,6,7,8,9,10,13],[2,3,8,9,10,12,14],[2,4,5,6,10,12,14],[2,4,5,9,10,11,13],[2,4,7,8,9,12,13],[2,5,6,7,11,12,13],[2,5,7,8,10,11,14],[2,6,7,8,9,11,14],[3,4,5,8,11,13,14],[3,4,6,7,8,12,14],[3,4,6,7,9,10,11],[3,4,6,8,10,11,13],[3,5,6,9,12,13,14],[3,5,7,9,10,12,13]]; G[1630]:=Group([(2,12)(3,11)(5,14)(6,10)(7,9)(8,13)]); # Design 1631: autom. group order 2, simple, residual B[1631]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,3,9,10,11,13],[1,2,4,6,12,13,14],[1,3,5,7,10,12,14],[1,4,5,7,9,10,11],[1,4,7,8,9,12,13],[1,4,8,10,11,13,14],[1,5,6,8,9,11,12],[1,5,6,9,12,13,14],[1,6,7,8,10,11,14],[2,3,8,9,11,12,14],[2,4,5,6,8,11,14],[2,4,5,10,11,12,13],[2,4,7,9,10,12,14],[2,5,6,7,8,10,13],[2,5,7,9,11,13,14],[2,6,7,8,9,10,12],[3,4,5,8,10,12,14],[3,4,6,7,9,11,14],[3,4,6,7,11,12,13],[3,4,6,8,9,10,13],[3,5,6,9,10,13,14],[3,5,7,8,11,12,13]]; G[1631]:=Group([(2,11)(3,10)(4,8)(5,14)(9,13)]); # Design 1632: autom. group order 2, simple B[1632]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,11,12,14],[1,2,4,6,12,13,14],[1,3,5,7,10,13,14],[1,4,5,8,11,13,14],[1,4,7,8,9,11,12],[1,4,7,9,10,11,13],[1,5,6,8,9,12,14],[1,5,6,10,11,12,13],[1,6,7,8,9,10,14],[2,3,8,9,11,13,14],[2,4,5,6,7,11,14],[2,4,5,9,10,12,13],[2,4,7,8,10,12,14],[2,5,6,8,9,10,13],[2,5,7,8,10,11,12],[2,6,7,9,11,13,14],[3,4,5,9,10,11,14],[3,4,6,7,8,10,13],[3,4,6,8,11,12,13],[3,4,6,9,10,12,14],[3,5,6,7,9,11,12],[3,5,7,8,12,13,14]]; G[1632]:=Group([(1,13)(3,9)(4,14)(5,11)]); # Design 1633: autom. group order 2, simple, residual B[1633]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,6,9,13,14],[1,3,5,7,9,11,14],[1,4,5,8,9,10,12],[1,4,7,10,11,12,14],[1,4,9,11,12,13,14],[1,5,6,7,8,11,12],[1,5,6,8,10,13,14],[1,6,7,8,9,10,13],[2,3,8,9,10,12,14],[2,4,5,6,10,12,14],[2,4,5,7,10,11,13],[2,4,7,8,9,10,11],[2,5,6,9,11,12,13],[2,5,7,8,12,13,14],[2,6,7,8,9,11,14],[3,4,5,8,11,13,14],[3,4,6,7,8,12,14],[3,4,6,7,9,12,13],[3,4,6,8,10,11,13],[3,5,6,9,10,11,14],[3,5,7,9,10,12,13]]; G[1633]:=Group([(2,12)(3,11)(5,14)(6,10)(8,13)]); # Design 1634: autom. group order 2, simple, residual B[1634]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,3,8,12,13,14],[1,2,4,6,9,12,14],[1,3,5,9,10,13,14],[1,4,5,7,8,11,14],[1,4,7,8,10,12,13],[1,4,7,9,10,11,12],[1,5,6,7,11,13,14],[1,5,6,8,9,11,12],[1,6,8,9,10,13,14],[2,3,7,8,9,11,14],[2,4,5,6,8,10,13],[2,4,5,9,10,11,13],[2,4,7,9,12,13,14],[2,5,6,7,10,12,14],[2,5,8,10,11,12,14],[2,6,7,8,9,11,13],[3,4,5,11,12,13,14],[3,4,6,7,8,10,14],[3,4,6,8,11,12,13],[3,4,6,9,10,11,14],[3,5,6,7,9,12,13],[3,5,7,8,9,10,12]]; G[1634]:=Group([(1,12)(3,14)(4,10)(9,11)]); # Design 1635: autom. group order 2, simple, residual B[1635]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,11,13,14],[1,3,5,10,12,13,14],[1,4,5,7,9,13,14],[1,4,7,8,10,11,13],[1,4,7,9,10,11,12],[1,5,6,7,8,12,14],[1,5,6,8,9,11,13],[1,6,8,9,10,12,14],[2,3,7,8,9,13,14],[2,4,5,6,9,10,12],[2,4,5,8,10,12,13],[2,4,7,8,11,12,14],[2,5,6,7,10,11,14],[2,5,9,10,11,13,14],[2,6,7,8,9,12,13],[3,4,5,8,11,12,14],[3,4,6,7,9,10,14],[3,4,6,8,10,13,14],[3,4,6,9,11,12,13],[3,5,6,7,11,12,13],[3,5,7,8,9,10,11]]; G[1635]:=Group([(1,11)(3,14)(4,10)(8,13)]); # Design 1636: autom. group order 2, simple, residual B[1636]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,11,12,14],[1,2,4,6,12,13,14],[1,3,5,8,10,13,14],[1,4,5,7,10,11,12],[1,4,7,8,9,12,14],[1,4,8,9,10,11,13],[1,5,6,7,8,13,14],[1,5,6,9,11,12,14],[1,6,7,9,10,11,13],[2,3,7,9,11,13,14],[2,4,5,6,9,11,13],[2,4,5,7,10,11,14],[2,4,7,8,10,12,13],[2,5,6,8,9,10,12],[2,5,8,11,12,13,14],[2,6,7,8,9,10,14],[3,4,5,9,10,13,14],[3,4,6,7,8,11,14],[3,4,6,8,11,12,13],[3,4,6,9,10,12,14],[3,5,6,7,10,12,13],[3,5,7,8,9,11,12]]; G[1636]:=Group([(2,11)(3,10)(4,9)(5,13)]); # Design 1637: autom. group order 2, simple, residual B[1637]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,12,13,14],[1,3,5,8,10,13,14],[1,4,5,7,9,11,12],[1,4,7,10,11,13,14],[1,4,8,9,10,11,13],[1,5,6,7,8,11,14],[1,5,6,9,10,12,13],[1,6,7,8,9,12,14],[2,3,7,9,11,13,14],[2,4,5,6,11,13,14],[2,4,5,8,10,12,14],[2,4,7,8,9,10,14],[2,5,6,7,9,10,13],[2,5,8,9,11,12,13],[2,6,7,8,10,11,12],[3,4,5,7,10,11,12],[3,4,6,7,8,9,13],[3,4,6,8,11,12,13],[3,4,6,9,10,12,14],[3,5,6,9,10,11,14],[3,5,7,8,12,13,14]]; G[1637]:=Group([(2,13)(3,10)(5,11)(6,14)]); # Design 1638: autom. group order 2, simple, residual B[1638]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,11,13,14],[1,3,5,8,12,13,14],[1,4,5,10,11,13,14],[1,4,7,8,9,10,11],[1,4,7,9,10,12,14],[1,5,6,7,8,10,14],[1,5,6,7,9,12,13],[1,6,8,9,11,12,13],[2,3,7,9,10,13,14],[2,4,5,6,10,12,13],[2,4,5,8,9,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,14],[2,5,7,8,10,11,12],[2,6,8,9,10,13,14],[3,4,5,9,10,11,13],[3,4,6,7,8,9,13],[3,4,6,7,11,12,14],[3,4,6,8,10,12,14],[3,5,6,9,10,11,12],[3,5,7,8,11,13,14]]; G[1638]:=Group([(1,14)(3,9)(4,13)(5,10)(7,8)]); # Design 1639: autom. group order 2, simple, residual B[1639]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,3,9,11,12,13],[1,2,4,6,7,13,14],[1,3,5,7,10,11,14],[1,4,5,8,11,12,13],[1,4,7,8,9,10,13],[1,4,9,10,11,12,14],[1,5,6,7,8,11,12],[1,5,6,9,10,13,14],[1,6,7,8,9,12,14],[2,3,7,8,9,12,14],[2,4,5,6,9,11,14],[2,4,5,8,10,12,14],[2,4,7,11,12,13,14],[2,5,6,9,10,12,13],[2,5,7,8,9,10,11],[2,6,7,8,10,11,13],[3,4,5,7,10,12,13],[3,4,6,7,9,10,12],[3,4,6,8,9,11,13],[3,4,6,8,10,11,14],[3,5,6,8,12,13,14],[3,5,7,9,11,13,14]]; G[1639]:=Group([(2,12)(3,11)(4,8)(9,13)]); # Design 1640: autom. group order 2, simple, residual B[1640]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,3,9,11,12,13],[1,2,4,6,7,13,14],[1,3,5,7,10,11,14],[1,4,5,8,11,12,13],[1,4,7,8,9,10,13],[1,4,9,10,11,12,14],[1,5,6,7,8,11,12],[1,5,6,9,10,13,14],[1,6,7,8,9,12,14],[2,3,7,8,9,12,14],[2,4,5,6,9,11,14],[2,4,5,8,10,12,14],[2,4,7,11,12,13,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,13],[2,6,7,8,9,10,11],[3,4,5,7,9,10,12],[3,4,6,7,10,12,13],[3,4,6,8,9,11,13],[3,4,6,8,10,11,14],[3,5,6,8,12,13,14],[3,5,7,9,11,13,14]]; G[1640]:=Group([(2,12)(3,11)(4,8)(9,13)]); # Design 1641: autom. group order 2, simple, residual B[1641]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,6,9,13,14],[1,3,5,7,9,11,14],[1,4,5,7,8,10,12],[1,4,7,11,12,13,14],[1,4,9,10,11,12,14],[1,5,6,8,9,11,12],[1,5,6,8,10,13,14],[1,6,7,8,9,10,13],[2,3,8,9,10,12,14],[2,4,5,8,12,13,14],[2,4,5,9,10,11,13],[2,4,6,7,9,10,12],[2,5,6,7,11,12,13],[2,5,7,8,10,11,14],[2,6,7,8,9,11,14],[3,4,5,6,10,11,14],[3,4,6,7,8,12,14],[3,4,6,8,10,11,13],[3,4,7,8,9,11,13],[3,5,6,9,12,13,14],[3,5,7,9,10,12,13]]; G[1641]:=Group([(2,12)(3,11)(5,14)(6,10)(7,9)(8,13)]); # Design 1642: autom. group order 2, simple, residual B[1642]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,11,12,14],[1,2,4,6,10,13,14],[1,3,5,7,11,13,14],[1,4,5,9,10,12,13],[1,4,7,8,9,11,14],[1,4,7,8,10,12,13],[1,5,6,8,9,10,14],[1,5,6,11,12,13,14],[1,6,7,8,9,11,12],[2,3,8,9,12,13,14],[2,4,5,7,10,11,12],[2,4,5,8,11,12,14],[2,4,6,7,8,13,14],[2,5,6,7,9,12,14],[2,5,8,9,10,11,13],[2,6,7,9,10,11,13],[3,4,5,6,9,11,13],[3,4,6,8,11,12,13],[3,4,6,9,10,12,14],[3,4,7,9,10,11,14],[3,5,6,7,8,10,12],[3,5,7,8,10,13,14]]; G[1642]:=Group([(1,10)(3,11)(4,13)(5,9)]); # Design 1643: autom. group order 2, simple, residual B[1643]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,3,8,12,13,14],[1,2,4,6,9,13,14],[1,3,5,7,9,10,14],[1,4,5,9,11,12,13],[1,4,7,10,11,12,14],[1,4,8,9,10,11,14],[1,5,6,7,8,12,14],[1,5,6,8,10,11,13],[1,6,7,8,9,12,13],[2,3,8,9,11,12,14],[2,4,5,7,8,10,12],[2,4,5,10,12,13,14],[2,4,6,7,9,11,12],[2,5,6,8,9,10,11],[2,5,7,8,11,13,14],[2,6,7,9,10,13,14],[3,4,5,6,11,13,14],[3,4,6,7,8,11,14],[3,4,6,8,10,12,13],[3,4,7,8,9,10,13],[3,5,6,9,10,12,14],[3,5,7,9,11,12,13]]; G[1643]:=Group([(2,11)(3,10)(5,14)(6,12)]); # Design 1644: autom. group order 2, simple, residual B[1644]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,6,9,13,14],[1,3,5,7,9,11,14],[1,4,5,8,9,10,12],[1,4,7,10,11,12,14],[1,4,9,11,12,13,14],[1,5,6,7,8,11,12],[1,5,6,8,10,13,14],[1,6,7,8,9,10,13],[2,3,8,9,10,12,14],[2,4,5,7,10,11,13],[2,4,5,8,10,11,14],[2,4,6,7,9,10,12],[2,5,6,9,11,12,13],[2,5,7,8,12,13,14],[2,6,7,8,9,11,14],[3,4,5,6,12,13,14],[3,4,6,7,8,12,14],[3,4,6,8,10,11,13],[3,4,7,8,9,11,13],[3,5,6,9,10,11,14],[3,5,7,9,10,12,13]]; G[1644]:=Group([(2,12)(3,11)(5,14)(6,10)(8,13)]); # Design 1645: autom. group order 2, simple B[1645]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,11,12],[1,2,4,6,10,13,14],[1,3,5,9,11,13,14],[1,4,5,7,8,11,13],[1,4,7,9,10,12,13],[1,4,8,10,11,12,14],[1,5,6,7,11,12,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,14],[2,3,7,8,12,13,14],[2,4,5,7,9,10,12],[2,4,5,8,11,12,14],[2,4,6,7,9,11,14],[2,5,6,8,10,12,13],[2,5,9,10,11,13,14],[2,6,7,8,9,11,13],[3,4,5,6,10,13,14],[3,4,6,8,9,12,14],[3,4,6,9,11,12,13],[3,4,7,8,10,11,13],[3,5,6,7,10,11,12],[3,5,7,8,9,10,14]]; G[1645]:=Group([(2,3)(4,11)(5,10)(6,9)(7,12)(13,14)]); # Design 1646: autom. group order 2, simple B[1646]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,12,13,14],[1,2,4,6,11,12,14],[1,3,5,9,10,11,14],[1,4,5,7,8,10,14],[1,4,7,9,10,11,13],[1,4,8,10,11,12,13],[1,5,6,7,9,11,12],[1,5,6,8,12,13,14],[1,6,7,8,9,13,14],[2,3,7,8,11,13,14],[2,4,5,7,11,12,13],[2,4,5,9,10,13,14],[2,4,6,8,9,10,12],[2,5,6,7,8,10,13],[2,5,8,9,11,12,14],[2,6,7,9,10,11,14],[3,4,5,6,11,13,14],[3,4,6,7,10,12,14],[3,4,6,8,9,11,13],[3,4,7,8,9,12,14],[3,5,6,9,10,12,13],[3,5,7,8,10,11,12]]; G[1646]:=Group([(1,4)(2,11)(3,13)(5,10)(6,12)(7,8)]); # Design 1647: autom. group order 2, simple B[1647]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,11,12],[1,2,4,6,10,13,14],[1,3,5,9,11,13,14],[1,4,5,7,8,11,13],[1,4,7,9,10,12,13],[1,4,8,10,11,12,14],[1,5,6,7,11,12,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,14],[2,3,7,8,12,13,14],[2,4,5,8,11,12,14],[2,4,5,9,10,13,14],[2,4,6,7,9,11,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,12],[2,6,7,8,9,11,13],[3,4,5,6,7,10,12],[3,4,6,8,9,12,14],[3,4,6,9,11,12,13],[3,4,7,8,10,11,13],[3,5,6,10,11,13,14],[3,5,7,8,9,10,14]]; G[1647]:=Group([(2,3)(4,11)(5,10)(6,9)(7,12)(13,14)]); # Design 1648: autom. group order 2, simple B[1648]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,11,12],[1,2,4,6,10,13,14],[1,3,5,9,11,13,14],[1,4,5,8,11,12,13],[1,4,7,8,10,11,14],[1,4,7,9,10,12,13],[1,5,6,7,8,9,13],[1,5,6,7,11,12,14],[1,6,8,9,10,12,14],[2,3,7,8,12,13,14],[2,4,5,7,9,10,12],[2,4,5,8,11,12,14],[2,4,6,7,9,11,14],[2,5,6,8,10,12,13],[2,5,9,10,11,13,14],[2,6,7,8,9,11,13],[3,4,5,6,10,13,14],[3,4,6,8,9,12,14],[3,4,6,9,11,12,13],[3,4,7,8,10,11,13],[3,5,6,7,10,11,12],[3,5,7,8,9,10,14]]; G[1648]:=Group([(2,3)(4,11)(5,10)(6,9)(7,12)(13,14)]); # Design 1649: autom. group order 2, simple B[1649]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,11,13,14],[1,3,5,8,12,13,14],[1,4,5,10,11,13,14],[1,4,7,8,9,10,11],[1,4,7,9,10,12,14],[1,5,6,7,8,10,14],[1,5,6,7,9,12,13],[1,6,8,9,11,12,13],[2,3,7,9,10,13,14],[2,4,5,8,9,12,14],[2,4,5,10,11,12,13],[2,4,6,7,8,12,13],[2,5,6,7,9,11,14],[2,5,7,8,10,11,12],[2,6,8,9,10,13,14],[3,4,5,6,9,10,13],[3,4,6,7,11,12,14],[3,4,6,8,10,12,14],[3,4,7,8,9,11,13],[3,5,6,9,10,11,12],[3,5,7,8,11,13,14]]; G[1649]:=Group([(1,14)(3,9)(4,13)(5,10)(7,8)]); # Design 1650: autom. group order 2, simple, residual B[1650]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,12,13,14],[1,3,5,8,11,13,14],[1,4,5,10,11,13,14],[1,4,7,8,9,10,12],[1,4,7,9,10,11,14],[1,5,6,7,8,10,14],[1,5,6,7,9,12,13],[1,6,8,9,11,12,13],[2,3,7,9,10,13,14],[2,4,5,8,9,12,14],[2,4,5,10,11,12,13],[2,4,6,7,8,11,13],[2,5,6,7,9,11,14],[2,5,7,8,10,11,12],[2,6,8,9,10,13,14],[3,4,5,6,9,10,13],[3,4,6,7,11,12,14],[3,4,6,8,10,12,14],[3,4,7,8,9,11,13],[3,5,6,9,10,11,12],[3,5,7,8,12,13,14]]; G[1650]:=Group([(1,14)(3,9)(4,13)(5,10)(7,8)]); # Design 1651: autom. group order 2, simple B[1651]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,11,12],[1,2,4,6,10,13,14],[1,3,5,9,11,13,14],[1,4,5,8,11,12,13],[1,4,7,8,10,11,14],[1,4,7,9,10,12,13],[1,5,6,7,8,9,13],[1,5,6,7,11,12,14],[1,6,8,9,10,12,14],[2,3,7,8,12,13,14],[2,4,5,8,11,12,14],[2,4,5,9,10,13,14],[2,4,6,7,9,11,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,12],[2,6,7,8,9,11,13],[3,4,5,6,7,10,12],[3,4,6,8,9,12,14],[3,4,6,9,11,12,13],[3,4,7,8,10,11,13],[3,5,6,10,11,13,14],[3,5,7,8,9,10,14]]; G[1651]:=Group([(2,3)(4,11)(5,10)(6,9)(7,12)(13,14)]); # Design 1652: autom. group order 2, simple, residual B[1652]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,3,9,10,11,13],[1,2,4,6,10,12,14],[1,3,5,11,12,13,14],[1,4,5,8,10,12,14],[1,4,7,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,7,9,11,14],[1,5,6,8,9,10,13],[1,6,7,8,9,11,12],[2,3,7,8,9,12,14],[2,4,5,7,9,10,11],[2,4,5,7,11,12,13],[2,4,6,9,12,13,14],[2,5,6,8,9,12,13],[2,5,8,10,11,13,14],[2,6,7,8,10,11,14],[3,4,5,6,8,11,14],[3,4,6,7,8,10,13],[3,4,6,9,11,13,14],[3,4,8,9,10,11,12],[3,5,6,7,10,12,13],[3,5,7,9,10,12,14]]; G[1652]:=Group([(1,10)(3,11)(4,14)(5,8)(9,13)]); # Design 1653: autom. group order 2, simple, residual B[1653]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,12,13,14],[1,3,5,9,10,12,14],[1,4,5,8,11,13,14],[1,4,7,8,9,10,12],[1,4,7,9,10,11,13],[1,5,6,7,12,13,14],[1,5,6,8,9,11,12],[1,6,7,8,10,11,14],[2,3,7,8,11,12,14],[2,4,5,7,10,11,14],[2,4,5,8,10,12,14],[2,4,6,7,9,11,12],[2,5,6,7,8,9,13],[2,5,9,10,11,12,13],[2,6,8,9,10,13,14],[3,4,5,6,10,11,13],[3,4,6,8,9,11,14],[3,4,6,8,10,12,13],[3,4,7,9,12,13,14],[3,5,6,7,9,10,14],[3,5,7,8,11,12,13]]; G[1653]:=Group([(1,9)(2,14)(4,10)(8,12)]); # Design 1654: autom. group order 2, simple, residual B[1654]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,12,13,14],[1,3,5,9,10,13,14],[1,4,5,8,11,12,14],[1,4,7,8,9,10,13],[1,4,7,9,10,11,12],[1,5,6,7,12,13,14],[1,5,6,8,9,11,13],[1,6,7,8,10,11,14],[2,3,7,8,11,13,14],[2,4,5,7,10,11,14],[2,4,5,8,10,13,14],[2,4,6,7,9,11,13],[2,5,6,7,8,9,12],[2,5,9,10,11,12,13],[2,6,8,9,10,12,14],[3,4,5,6,10,11,12],[3,4,6,8,10,12,13],[3,4,6,9,11,13,14],[3,4,7,8,9,12,14],[3,5,6,7,9,10,14],[3,5,7,8,11,12,13]]; G[1654]:=Group([(1,9)(2,14)(4,10)(8,13)]); # Design 1655: autom. group order 2, simple, residual B[1655]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,3,9,11,12,13],[1,2,4,6,7,11,14],[1,3,5,7,12,13,14],[1,4,5,8,10,11,14],[1,4,7,8,10,12,13],[1,4,7,9,11,13,14],[1,5,6,8,9,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,10,12],[2,3,7,8,9,10,14],[2,4,5,7,10,12,13],[2,4,5,9,10,11,12],[2,4,6,9,10,13,14],[2,5,6,7,8,9,13],[2,5,8,11,12,13,14],[2,6,7,8,11,12,14],[3,4,5,6,8,12,14],[3,4,6,8,10,11,13],[3,4,6,9,12,13,14],[3,4,7,8,9,11,12],[3,5,6,7,10,11,13],[3,5,7,9,10,11,14]]; G[1655]:=Group([(1,11)(3,12)(4,14)(5,8)(9,13)]); # Design 1656: autom. group order 2, simple, residual B[1656]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,3,9,12,13,14],[1,2,4,6,7,13,14],[1,3,5,7,10,12,14],[1,4,5,8,10,11,12],[1,4,7,8,9,12,13],[1,4,9,10,11,13,14],[1,5,6,7,8,9,11],[1,5,6,8,12,13,14],[1,6,7,9,10,11,14],[2,3,7,8,9,11,14],[2,4,5,7,10,11,13],[2,4,5,9,11,12,14],[2,4,6,8,10,12,14],[2,5,6,8,9,10,14],[2,5,7,9,10,12,13],[2,6,7,8,11,12,13],[3,4,5,6,11,13,14],[3,4,6,7,9,10,12],[3,4,6,8,9,10,13],[3,4,7,8,11,12,14],[3,5,6,9,11,12,13],[3,5,7,8,10,13,14]]; G[1656]:=Group([(2,11)(3,10)(4,9)(5,14)(8,13)]); # Design 1657: autom. group order 2, simple, residual B[1657]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,3,9,12,13,14],[1,2,4,6,7,13,14],[1,3,5,7,10,12,14],[1,4,5,8,10,11,12],[1,4,7,8,9,12,13],[1,4,9,10,11,13,14],[1,5,6,7,8,9,11],[1,5,6,8,12,13,14],[1,6,7,9,10,11,14],[2,3,7,8,9,11,14],[2,4,5,7,10,11,13],[2,4,5,9,11,12,14],[2,4,6,8,10,12,14],[2,5,6,8,11,13,14],[2,5,7,9,10,12,13],[2,6,7,8,9,10,12],[3,4,5,6,9,10,14],[3,4,6,7,11,12,13],[3,4,6,8,9,10,13],[3,4,7,8,11,12,14],[3,5,6,9,11,12,13],[3,5,7,8,10,13,14]]; G[1657]:=Group([(2,11)(3,10)(4,9)(5,14)(8,13)]); # Design 1658: autom. group order 2, simple, residual B[1658]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,3,9,11,12,13],[1,2,4,6,7,13,14],[1,3,5,7,10,11,14],[1,4,5,8,11,12,13],[1,4,7,8,9,10,13],[1,4,9,10,11,12,14],[1,5,6,7,8,11,12],[1,5,6,9,10,13,14],[1,6,7,8,9,12,14],[2,3,7,8,9,12,14],[2,4,5,7,9,10,11],[2,4,5,8,10,12,14],[2,4,7,11,12,13,14],[2,5,6,8,9,11,14],[2,5,6,9,10,12,13],[2,6,7,8,10,11,13],[3,4,5,6,12,13,14],[3,4,6,7,9,10,12],[3,4,6,8,9,11,13],[3,4,6,8,10,11,14],[3,5,7,8,10,12,13],[3,5,7,9,11,13,14]]; G[1658]:=Group([(2,12)(3,11)(4,8)(9,13)]); # Design 1659: autom. group order 2, simple, residual B[1659]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,3,9,11,12,13],[1,2,4,6,7,13,14],[1,3,5,7,10,11,14],[1,4,5,8,11,12,13],[1,4,7,8,9,10,13],[1,4,9,10,11,12,14],[1,5,6,7,8,11,12],[1,5,6,9,10,13,14],[1,6,7,8,9,12,14],[2,3,7,8,9,12,14],[2,4,5,7,9,10,11],[2,4,5,8,10,12,14],[2,4,7,11,12,13,14],[2,5,6,8,11,13,14],[2,5,6,9,10,12,13],[2,6,7,8,9,10,11],[3,4,5,6,9,12,14],[3,4,6,7,10,12,13],[3,4,6,8,9,11,13],[3,4,6,8,10,11,14],[3,5,7,8,10,12,13],[3,5,7,9,11,13,14]]; G[1659]:=Group([(2,12)(3,11)(4,8)(9,13)]); # Design 1660: autom. group order 2, simple B[1660]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,10,11,13,14],[1,3,5,6,12,13,14],[1,4,5,6,9,11,13],[1,4,7,8,12,13,14],[1,4,7,9,10,11,12],[1,5,6,7,8,10,12],[1,5,7,8,9,11,14],[1,6,8,9,10,13,14],[2,3,7,8,9,13,14],[2,4,5,8,10,12,14],[2,4,5,8,11,12,13],[2,4,6,7,9,10,13],[2,5,6,7,11,13,14],[2,5,6,9,10,12,14],[2,6,7,8,9,11,12],[3,4,5,7,9,10,14],[3,4,6,7,11,12,14],[3,4,6,8,9,12,13],[3,4,6,8,10,11,14],[3,5,7,8,10,11,13],[3,5,9,10,11,12,13]]; G[1660]:=Group([(1,13)(2,11)(3,5)(4,10)(6,12)(7,9)]); # Design 1661: autom. group order 2, simple, residual B[1661]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,11,12,14],[1,2,4,10,11,13,14],[1,3,5,6,8,13,14],[1,4,5,7,10,12,14],[1,4,6,8,11,12,13],[1,4,6,9,10,12,14],[1,5,6,7,9,11,12],[1,5,7,8,9,13,14],[1,7,8,9,10,11,13],[2,3,7,9,12,13,14],[2,4,5,7,11,13,14],[2,4,5,8,9,10,11],[2,4,6,7,8,12,13],[2,5,6,8,10,12,14],[2,5,6,9,11,12,13],[2,6,7,8,9,10,14],[3,4,5,9,10,12,13],[3,4,6,7,9,10,13],[3,4,6,8,9,11,14],[3,4,7,8,11,12,14],[3,5,6,10,11,13,14],[3,5,7,8,10,11,12]]; G[1661]:=Group([(2,13)(3,8)(4,14)(6,9)]); # Design 1662: autom. group order 2, simple, residual B[1662]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,11,12,14],[1,2,4,10,11,13,14],[1,3,5,6,8,13,14],[1,4,5,7,10,12,14],[1,4,6,8,11,12,13],[1,4,6,9,10,12,14],[1,5,6,7,9,11,12],[1,5,7,8,9,13,14],[1,7,8,9,10,11,13],[2,3,7,9,12,13,14],[2,4,5,7,11,13,14],[2,4,5,8,9,10,12],[2,4,6,7,8,12,13],[2,5,6,8,10,11,14],[2,5,6,9,11,12,13],[2,6,7,8,9,10,14],[3,4,5,9,10,11,13],[3,4,6,7,9,10,13],[3,4,6,8,9,11,14],[3,4,7,8,11,12,14],[3,5,6,10,12,13,14],[3,5,7,8,10,11,12]]; G[1662]:=Group([(2,13)(3,8)(4,14)(6,9)]); # Design 1663: autom. group order 2, simple B[1663]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,11,12,13,14],[1,3,5,6,8,12,14],[1,4,5,7,10,13,14],[1,4,6,7,9,10,14],[1,4,6,9,10,11,12],[1,5,7,8,11,12,14],[1,5,8,9,10,12,13],[1,6,7,8,9,11,13],[2,3,7,9,10,12,14],[2,4,5,6,8,10,11],[2,4,5,7,11,12,13],[2,4,6,8,9,13,14],[2,5,6,7,9,12,14],[2,5,8,9,10,11,14],[2,6,7,8,10,12,13],[3,4,5,9,10,12,13],[3,4,6,8,12,13,14],[3,4,7,8,9,11,12],[3,4,7,8,10,11,14],[3,5,6,7,9,11,13],[3,5,6,10,11,13,14]]; G[1663]:=Group([(1,14)(3,9)(4,12)(5,7)(8,10)(11,13)]); # Design 1664: autom. group order 2, simple, residual B[1664]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,12,13],[1,2,4,10,11,12,14],[1,3,5,6,11,13,14],[1,4,5,7,8,11,12],[1,4,6,7,9,11,12],[1,4,6,8,9,13,14],[1,5,7,10,11,13,14],[1,5,8,9,10,12,14],[1,6,7,8,9,10,13],[2,3,7,8,9,11,14],[2,4,5,6,10,12,13],[2,4,5,7,9,13,14],[2,4,6,9,10,11,14],[2,5,6,7,8,10,14],[2,5,8,9,11,12,13],[2,6,7,8,11,12,13],[3,4,5,8,10,11,13],[3,4,6,8,12,13,14],[3,4,7,8,10,12,14],[3,4,7,9,10,11,13],[3,5,6,7,9,10,12],[3,5,6,9,11,12,14]]; G[1664]:=Group([(1,12)(3,13)(4,11)(5,8)]); # Design 1665: autom. group order 2, simple B[1665]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,12,13,14],[1,2,4,10,11,12,14],[1,3,5,6,9,11,14],[1,4,5,10,11,13,14],[1,4,6,7,8,11,13],[1,4,6,8,9,12,13],[1,5,7,8,9,10,14],[1,5,7,9,11,12,13],[1,6,7,8,10,12,14],[2,3,7,8,11,13,14],[2,4,5,6,10,13,14],[2,4,5,7,8,11,12],[2,4,6,7,9,12,14],[2,5,6,7,9,10,13],[2,5,8,9,10,11,12],[2,6,8,9,11,13,14],[3,4,5,8,12,13,14],[3,4,6,9,10,11,12],[3,4,7,8,9,10,14],[3,4,7,9,10,11,13],[3,5,6,7,11,12,14],[3,5,6,8,10,12,13]]; G[1665]:=Group([(1,11)(3,8)(4,14)(5,13)(7,9)]); # Design 1666: autom. group order 2, simple B[1666]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,9,10,12,13],[1,3,5,6,9,12,14],[1,4,5,8,10,11,13],[1,4,6,7,11,12,13],[1,4,6,8,9,11,14],[1,5,7,8,9,12,13],[1,5,7,10,11,12,14],[1,6,7,8,9,10,14],[2,3,7,8,9,11,12],[2,4,5,6,7,13,14],[2,4,5,9,10,11,14],[2,4,7,8,11,12,14],[2,5,6,8,10,12,14],[2,5,6,9,11,12,13],[2,6,7,8,9,10,13],[3,4,5,7,8,10,12],[3,4,6,7,9,10,11],[3,4,6,8,12,13,14],[3,4,9,10,12,13,14],[3,5,6,8,10,11,13],[3,5,7,9,11,13,14]]; G[1666]:=Group([(1,14)(2,13)(5,12)(6,9)(7,10)]); # Design 1667: autom. group order 2, simple, residual B[1667]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,9,10,12,13],[1,3,5,6,9,12,14],[1,4,5,8,10,11,13],[1,4,6,7,11,12,13],[1,4,6,8,9,11,14],[1,5,7,8,10,12,14],[1,5,7,9,11,12,13],[1,6,7,8,9,10,14],[2,3,7,8,9,11,12],[2,4,5,6,7,13,14],[2,4,5,9,10,11,14],[2,4,7,8,11,12,14],[2,5,6,8,9,12,13],[2,5,6,10,11,12,14],[2,6,7,8,9,10,13],[3,4,5,7,8,10,12],[3,4,6,7,9,10,11],[3,4,6,8,12,13,14],[3,4,9,10,12,13,14],[3,5,6,8,10,11,13],[3,5,7,9,11,13,14]]; G[1667]:=Group([(1,14)(2,13)(5,12)(6,9)(7,10)]); # Design 1668: autom. group order 2, simple B[1668]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,9,10,12,13],[1,3,5,6,9,12,14],[1,4,5,8,10,11,13],[1,4,6,7,11,12,13],[1,4,6,8,9,11,14],[1,5,7,8,9,12,13],[1,5,7,8,10,12,14],[1,6,7,9,10,11,14],[2,3,7,8,9,11,12],[2,4,5,6,7,13,14],[2,4,5,9,10,11,14],[2,4,7,8,11,12,14],[2,5,6,8,10,12,14],[2,5,6,9,11,12,13],[2,6,7,8,9,10,13],[3,4,5,7,10,11,12],[3,4,6,7,8,9,10],[3,4,6,8,12,13,14],[3,4,9,10,12,13,14],[3,5,6,8,10,11,13],[3,5,7,9,11,13,14]]; G[1668]:=Group([(1,14)(2,13)(5,12)(6,9)(7,10)]); # Design 1669: autom. group order 2, simple, residual B[1669]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,3,9,11,12,13],[1,2,4,7,10,11,14],[1,3,5,6,7,13,14],[1,4,5,8,11,12,13],[1,4,6,7,8,11,12],[1,4,6,9,10,13,14],[1,5,7,8,9,10,13],[1,5,9,10,11,12,14],[1,6,7,8,9,12,14],[2,3,7,8,9,12,14],[2,4,5,6,9,12,14],[2,4,5,7,10,12,13],[2,4,7,9,11,13,14],[2,5,6,8,9,11,13],[2,5,6,8,10,11,14],[2,6,7,8,10,12,13],[3,4,5,8,10,12,14],[3,4,6,8,11,13,14],[3,4,6,9,10,12,13],[3,4,7,8,9,10,11],[3,5,6,7,9,10,11],[3,5,7,11,12,13,14]]; G[1669]:=Group([(2,11)(3,12)(5,8)(9,13)]); # Design 1670: autom. group order 2, simple, residual B[1670]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,3,9,11,12,13],[1,2,4,7,10,11,14],[1,3,5,6,7,13,14],[1,4,5,8,11,12,13],[1,4,6,7,8,11,12],[1,4,6,9,10,13,14],[1,5,7,8,9,10,13],[1,5,9,10,11,12,14],[1,6,7,8,9,12,14],[2,3,7,8,9,12,14],[2,4,5,6,12,13,14],[2,4,5,7,9,10,12],[2,4,7,9,11,13,14],[2,5,6,8,9,11,13],[2,5,6,8,10,11,14],[2,6,7,8,10,12,13],[3,4,5,8,10,12,14],[3,4,6,8,9,11,14],[3,4,6,9,10,12,13],[3,4,7,8,10,11,13],[3,5,6,7,9,10,11],[3,5,7,11,12,13,14]]; G[1670]:=Group([(2,11)(3,12)(5,8)(9,13)]); # Design 1671: autom. group order 2, simple, residual B[1671]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,12,13],[1,2,4,10,11,12,14],[1,3,5,6,11,13,14],[1,4,5,7,8,11,12],[1,4,6,7,9,11,12],[1,4,7,8,10,13,14],[1,5,6,9,11,13,14],[1,5,8,9,10,12,14],[1,6,7,8,9,10,13],[2,3,7,8,9,11,14],[2,4,5,6,10,12,13],[2,4,5,7,9,13,14],[2,4,6,9,10,11,14],[2,5,6,7,8,10,14],[2,5,8,9,11,12,13],[2,6,7,8,11,12,13],[3,4,5,8,10,11,13],[3,4,6,8,9,12,14],[3,4,6,8,12,13,14],[3,4,7,9,10,11,13],[3,5,6,7,9,10,12],[3,5,7,10,11,12,14]]; G[1671]:=Group([(1,12)(3,13)(4,11)(5,8)]); # Design 1672: autom. group order 2, simple B[1672]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,10,11,12,14],[1,3,5,6,12,13,14],[1,4,5,7,9,11,13],[1,4,6,7,8,10,12],[1,4,8,9,10,11,14],[1,5,6,8,9,12,14],[1,5,7,8,10,13,14],[1,6,7,9,11,12,13],[2,3,7,8,9,12,14],[2,4,5,6,7,11,14],[2,4,5,9,10,12,13],[2,4,6,8,9,12,13],[2,5,6,8,10,11,13],[2,5,7,8,11,12,14],[2,6,7,9,10,13,14],[3,4,5,10,12,13,14],[3,4,6,7,9,10,14],[3,4,6,8,11,13,14],[3,4,7,8,11,12,13],[3,5,6,8,9,10,11],[3,5,7,9,10,11,12]]; G[1672]:=Group([(2,12)(3,6)(4,14)(7,13)(8,9)(10,11)]); # Design 1673: autom. group order 2, simple B[1673]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,10,11,12,14],[1,3,5,6,12,13,14],[1,4,5,7,9,11,13],[1,4,6,7,8,10,12],[1,4,8,9,10,11,14],[1,5,6,8,9,12,14],[1,5,7,8,10,13,14],[1,6,7,9,11,12,13],[2,3,7,8,9,12,14],[2,4,5,6,10,13,14],[2,4,5,8,11,12,13],[2,4,6,8,9,12,13],[2,5,6,7,9,10,11],[2,5,7,9,10,12,14],[2,6,7,8,11,13,14],[3,4,5,7,11,12,14],[3,4,6,7,8,11,14],[3,4,6,9,10,13,14],[3,4,7,9,10,12,13],[3,5,6,8,9,10,11],[3,5,8,10,11,12,13]]; G[1673]:=Group([(2,12)(3,6)(4,14)(7,13)(8,9)(10,11)]); # Design 1674: autom. group order 2, simple, residual B[1674]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,11,12,14],[1,2,4,10,12,13,14],[1,3,5,6,11,13,14],[1,4,5,7,10,13,14],[1,4,6,8,9,10,13],[1,4,7,8,9,11,12],[1,5,6,7,8,10,12],[1,5,8,9,11,13,14],[1,6,7,9,11,12,14],[2,3,7,8,9,13,14],[2,4,5,6,9,11,14],[2,4,5,9,10,11,12],[2,4,6,8,12,13,14],[2,5,6,7,8,12,14],[2,5,7,8,10,11,13],[2,6,7,9,10,11,13],[3,4,5,7,11,12,13],[3,4,6,7,9,10,14],[3,4,6,8,11,12,13],[3,4,7,8,10,11,14],[3,5,6,9,10,12,13],[3,5,8,9,10,12,14]]; G[1674]:=Group([(1,10)(3,11)(4,13)(5,7)(6,8)]); # Design 1675: autom. group order 2, simple, residual B[1675]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,11,12,14],[1,2,4,10,12,13,14],[1,3,5,6,11,13,14],[1,4,5,7,10,13,14],[1,4,6,8,9,10,13],[1,4,7,8,9,11,14],[1,5,6,7,8,10,12],[1,5,8,9,11,12,13],[1,6,7,9,11,12,14],[2,3,7,8,9,13,14],[2,4,5,6,9,11,14],[2,4,5,9,10,11,12],[2,4,6,8,12,13,14],[2,5,6,7,8,12,14],[2,5,7,8,10,11,13],[2,6,7,9,10,11,13],[3,4,5,7,11,12,13],[3,4,6,7,9,10,12],[3,4,6,8,11,12,13],[3,4,7,8,10,11,14],[3,5,6,9,10,13,14],[3,5,8,9,10,12,14]]; G[1675]:=Group([(1,10)(3,11)(4,13)(5,7)(6,8)]); # Design 1676: autom. group order 2, simple, residual B[1676]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,11,12],[1,2,4,10,12,13,14],[1,3,5,6,11,13,14],[1,4,5,7,9,10,13],[1,4,6,8,10,13,14],[1,4,7,8,9,11,14],[1,5,6,7,8,10,12],[1,5,8,9,11,12,13],[1,6,7,9,11,12,14],[2,3,7,8,9,13,14],[2,4,5,6,9,11,14],[2,4,5,10,11,12,14],[2,4,6,8,9,12,13],[2,5,6,7,8,12,14],[2,5,7,8,10,11,13],[2,6,7,9,10,11,13],[3,4,5,7,11,12,13],[3,4,6,7,9,10,12],[3,4,6,8,11,12,13],[3,4,7,8,10,11,14],[3,5,6,9,10,13,14],[3,5,8,9,10,12,14]]; G[1676]:=Group([(1,10)(3,11)(4,13)(5,7)(6,8)]); # Design 1677: autom. group order 2, simple, residual B[1677]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,11,12,13,14],[1,2,4,9,10,12,14],[1,3,5,6,9,13,14],[1,4,5,7,10,11,14],[1,4,6,8,10,11,13],[1,4,8,9,11,13,14],[1,5,6,7,11,12,14],[1,5,7,8,9,10,12],[1,6,7,8,9,12,13],[2,3,7,8,9,11,14],[2,4,5,6,11,12,13],[2,4,5,7,8,13,14],[2,4,6,9,10,12,14],[2,5,6,8,9,11,12],[2,5,7,9,10,11,13],[2,6,7,8,10,13,14],[3,4,5,8,10,12,13],[3,4,6,7,8,12,14],[3,4,6,7,9,10,11],[3,4,7,9,11,12,13],[3,5,6,9,10,13,14],[3,5,8,10,11,12,14]]; G[1677]:=Group([(2,3)(4,13)(5,12)(6,10)(8,11)(9,14)]); # Design 1678: autom. group order 2, simple, residual B[1678]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,11,12,13,14],[1,2,4,9,10,12,14],[1,3,5,6,9,13,14],[1,4,5,7,10,11,14],[1,4,6,8,10,11,13],[1,4,8,9,11,13,14],[1,5,6,7,11,12,14],[1,5,7,8,9,10,12],[1,6,7,8,9,12,13],[2,3,7,8,9,11,14],[2,4,5,6,8,12,13],[2,4,5,7,9,11,13],[2,4,6,9,10,12,14],[2,5,6,8,11,12,14],[2,5,7,8,10,13,14],[2,6,7,9,10,11,13],[3,4,5,10,11,12,13],[3,4,6,7,8,10,14],[3,4,6,7,9,11,12],[3,4,7,8,12,13,14],[3,5,6,9,10,13,14],[3,5,8,9,10,11,12]]; G[1678]:=Group([(2,3)(4,13)(5,12)(6,10)(8,11)(9,14)]); # Design 1679: autom. group order 2, simple, residual B[1679]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,11,12,13,14],[1,2,4,9,10,12,14],[1,3,5,6,9,11,14],[1,4,5,8,9,12,13],[1,4,6,7,8,10,13],[1,4,7,8,10,11,14],[1,5,6,7,12,13,14],[1,5,7,9,10,11,14],[1,6,8,9,11,12,13],[2,3,7,8,9,13,14],[2,4,5,6,7,11,12],[2,4,5,8,11,13,14],[2,4,6,9,10,12,14],[2,5,6,8,10,13,14],[2,5,7,9,10,11,13],[2,6,7,8,9,11,12],[3,4,5,10,11,12,13],[3,4,6,7,9,13,14],[3,4,6,9,10,11,13],[3,4,7,8,11,12,14],[3,5,6,8,10,12,14],[3,5,7,8,9,10,12]]; G[1679]:=Group([(2,12)(3,13)(4,9)(5,8)(7,11)(10,14)]); # Design 1680: autom. group order 2, simple, residual B[1680]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,11,12,13,14],[1,2,4,9,11,13,14],[1,3,5,6,9,10,14],[1,4,5,8,9,11,12],[1,4,6,7,8,11,12],[1,4,7,9,10,13,14],[1,5,6,7,8,13,14],[1,5,7,10,11,12,13],[1,6,8,9,10,12,14],[2,3,7,8,9,12,14],[2,4,5,6,12,13,14],[2,4,5,7,10,12,14],[2,4,6,7,9,10,11],[2,5,6,8,10,11,14],[2,5,8,9,10,11,13],[2,6,7,8,9,12,13],[3,4,5,8,10,12,13],[3,4,6,8,11,13,14],[3,4,6,9,10,12,13],[3,4,7,8,10,11,14],[3,5,6,7,9,11,13],[3,5,7,9,11,12,14]]; G[1680]:=Group([(2,11)(3,12)(5,8)]); # Design 1681: autom. group order 2, simple, residual B[1681]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,9,11,12,13],[1,3,5,6,9,12,14],[1,4,5,9,10,11,13],[1,4,6,7,9,10,14],[1,4,7,8,10,11,14],[1,5,6,7,8,12,13],[1,5,7,8,11,12,14],[1,6,8,9,10,12,13],[2,3,7,8,9,10,12],[2,4,5,6,8,13,14],[2,4,5,7,10,12,13],[2,4,6,8,10,12,14],[2,5,6,9,10,11,14],[2,5,7,9,11,12,14],[2,6,7,8,9,11,13],[3,4,5,8,10,11,12],[3,4,6,7,8,9,11],[3,4,6,11,12,13,14],[3,4,7,9,12,13,14],[3,5,6,7,10,11,13],[3,5,8,9,10,13,14]]; G[1681]:=Group([(1,14)(2,13)(5,12)(6,9)(8,11)]); # Design 1682: autom. group order 2, simple B[1682]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,9,11,12,13],[1,3,5,6,9,12,14],[1,4,5,9,10,11,13],[1,4,6,7,9,10,14],[1,4,7,8,10,12,13],[1,5,6,7,8,12,13],[1,5,7,8,11,12,14],[1,6,8,9,10,11,14],[2,3,7,8,9,10,12],[2,4,5,6,8,13,14],[2,4,5,7,10,11,14],[2,4,6,8,10,12,14],[2,5,6,9,10,12,13],[2,5,7,9,11,12,14],[2,6,7,8,9,11,13],[3,4,5,8,10,11,12],[3,4,6,7,8,9,11],[3,4,6,11,12,13,14],[3,4,7,9,12,13,14],[3,5,6,7,10,11,13],[3,5,8,9,10,13,14]]; G[1682]:=Group([(1,14)(2,13)(5,12)(6,9)(8,11)]); # Design 1683: autom. group order 2, simple B[1683]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,12,13],[1,2,4,10,11,12,14],[1,3,5,6,9,11,14],[1,4,5,10,11,13,14],[1,4,6,7,8,11,13],[1,4,7,8,9,10,13],[1,5,6,7,8,12,14],[1,5,7,9,11,12,13],[1,6,8,9,10,12,14],[2,3,7,8,11,13,14],[2,4,5,6,10,13,14],[2,4,5,8,9,11,12],[2,4,6,7,9,12,14],[2,5,6,7,9,10,13],[2,5,7,8,10,11,12],[2,6,8,9,11,13,14],[3,4,5,8,12,13,14],[3,4,6,7,10,11,12],[3,4,6,9,11,12,13],[3,4,7,8,9,10,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,14]]; G[1683]:=Group([(1,11)(3,8)(4,14)(5,13)(7,9)]); # Design 1684: autom. group order 2, simple B[1684]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,11,12,13,14],[1,3,5,6,8,13,14],[1,4,5,10,11,13,14],[1,4,6,7,9,10,14],[1,4,7,8,9,10,11],[1,5,6,7,9,12,13],[1,5,7,8,10,12,14],[1,6,8,9,11,12,13],[2,3,7,9,10,13,14],[2,4,5,6,10,11,13],[2,4,5,8,9,12,14],[2,4,6,7,8,12,13],[2,5,6,7,9,11,14],[2,5,7,8,10,11,12],[2,6,8,9,10,13,14],[3,4,5,9,10,12,13],[3,4,6,7,11,12,14],[3,4,6,8,10,12,14],[3,4,7,8,9,11,13],[3,5,6,9,10,11,12],[3,5,7,8,11,13,14]]; G[1684]:=Group([(1,14)(3,9)(4,13)(5,10)(7,8)]); # Design 1685: autom. group order 2, simple, residual B[1685]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,11,12,13,14],[1,3,5,6,8,13,14],[1,4,5,10,11,13,14],[1,4,6,7,9,10,14],[1,4,7,8,9,10,11],[1,5,6,7,9,12,13],[1,5,7,8,10,12,14],[1,6,8,9,11,12,13],[2,3,7,9,10,13,14],[2,4,5,6,10,12,13],[2,4,5,8,9,12,14],[2,4,6,7,8,11,13],[2,5,6,7,9,11,14],[2,5,7,8,10,11,12],[2,6,8,9,10,13,14],[3,4,5,9,10,11,13],[3,4,6,7,11,12,14],[3,4,6,8,10,12,14],[3,4,7,8,9,12,13],[3,5,6,9,10,11,12],[3,5,7,8,11,13,14]]; G[1685]:=Group([(1,14)(3,9)(4,13)(5,10)(7,8)]); # Design 1686: autom. group order 2, simple, residual B[1686]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,10,12,13,14],[1,3,5,6,11,13,14],[1,4,5,8,10,11,13],[1,4,6,7,8,12,14],[1,4,7,8,9,11,13],[1,5,6,7,9,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,12,14],[2,3,7,8,9,13,14],[2,4,5,6,9,10,14],[2,4,5,8,11,12,14],[2,4,6,7,11,12,13],[2,5,6,9,11,12,13],[2,5,7,8,10,13,14],[2,6,7,8,9,10,11],[3,4,5,7,9,10,12],[3,4,6,7,10,11,14],[3,4,6,8,9,12,13],[3,4,9,10,11,13,14],[3,5,6,8,10,12,13],[3,5,7,8,11,12,14]]; G[1686]:=Group([(1,11)(2,14)(5,10)(8,13)]); # Design 1687: autom. group order 2, simple B[1687]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,9,11,12,13],[1,3,5,6,9,12,14],[1,4,5,9,10,11,13],[1,4,6,7,9,10,14],[1,4,7,8,10,12,13],[1,5,6,7,8,12,13],[1,5,8,10,11,12,14],[1,6,7,8,9,11,14],[2,3,7,8,9,10,12],[2,4,5,6,8,13,14],[2,4,5,7,10,11,14],[2,4,6,8,10,12,14],[2,5,6,9,10,12,13],[2,5,7,9,11,12,14],[2,6,7,8,9,11,13],[3,4,5,7,8,11,12],[3,4,6,8,9,10,11],[3,4,6,11,12,13,14],[3,4,7,9,12,13,14],[3,5,6,7,10,11,13],[3,5,8,9,10,13,14]]; G[1687]:=Group([(1,14)(2,13)(5,12)(6,9)(8,11)]); # Design 1688: autom. group order 2, simple, residual B[1688]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,9,10,12,13],[1,3,5,6,9,12,14],[1,4,5,8,11,12,14],[1,4,6,7,11,12,13],[1,4,7,8,9,11,13],[1,5,6,9,10,11,13],[1,5,7,8,10,12,14],[1,6,7,8,9,10,14],[2,3,7,8,9,11,12],[2,4,5,6,7,13,14],[2,4,5,9,10,11,14],[2,4,6,8,10,11,14],[2,5,6,8,9,12,13],[2,5,7,8,10,12,13],[2,6,7,9,11,12,14],[3,4,5,7,10,11,12],[3,4,6,7,8,9,10],[3,4,6,8,12,13,14],[3,4,9,10,12,13,14],[3,5,6,8,10,11,13],[3,5,7,9,11,13,14]]; G[1688]:=Group([(1,14)(2,13)(5,12)(6,9)(7,10)]); # Design 1689: autom. group order 2, simple B[1689]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,9,10,12,13],[1,3,5,6,9,12,14],[1,4,5,8,11,12,14],[1,4,6,7,11,12,13],[1,4,7,8,10,11,14],[1,5,6,9,10,11,13],[1,5,7,8,9,12,13],[1,6,7,8,9,10,14],[2,3,7,8,9,11,12],[2,4,5,6,7,13,14],[2,4,5,9,10,11,14],[2,4,6,8,9,11,13],[2,5,6,8,10,12,14],[2,5,7,8,10,12,13],[2,6,7,9,11,12,14],[3,4,5,7,10,11,12],[3,4,6,7,8,9,10],[3,4,6,8,12,13,14],[3,4,9,10,12,13,14],[3,5,6,8,10,11,13],[3,5,7,9,11,13,14]]; G[1689]:=Group([(1,14)(2,13)(5,12)(6,9)(7,10)]); # Design 1690: autom. group order 2, simple B[1690]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,9,10,12,13],[1,3,5,6,9,12,14],[1,4,5,8,11,12,14],[1,4,6,7,11,12,13],[1,4,7,8,9,11,13],[1,5,6,8,9,10,13],[1,5,7,10,11,12,14],[1,6,7,8,9,10,14],[2,3,7,8,9,11,12],[2,4,5,6,7,13,14],[2,4,5,9,10,11,14],[2,4,6,8,10,11,14],[2,5,6,9,11,12,13],[2,5,7,8,10,12,13],[2,6,7,8,9,12,14],[3,4,5,7,8,10,12],[3,4,6,7,9,10,11],[3,4,6,8,12,13,14],[3,4,9,10,12,13,14],[3,5,6,8,10,11,13],[3,5,7,9,11,13,14]]; G[1690]:=Group([(1,14)(2,13)(5,12)(6,9)(7,10)]); # Design 1691: autom. group order 2, simple, residual B[1691]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,9,10,12,13],[1,3,5,6,9,12,14],[1,4,5,8,11,12,14],[1,4,6,7,11,12,13],[1,4,7,8,10,11,14],[1,5,6,8,9,10,13],[1,5,7,9,11,12,13],[1,6,7,8,9,10,14],[2,3,7,8,9,11,12],[2,4,5,6,7,13,14],[2,4,5,9,10,11,14],[2,4,6,8,9,11,13],[2,5,6,10,11,12,14],[2,5,7,8,10,12,13],[2,6,7,8,9,12,14],[3,4,5,7,8,10,12],[3,4,6,7,9,10,11],[3,4,6,8,12,13,14],[3,4,9,10,12,13,14],[3,5,6,8,10,11,13],[3,5,7,9,11,13,14]]; G[1691]:=Group([(1,14)(2,13)(5,12)(6,9)(7,10)]); # Design 1692: autom. group order 2, simple B[1692]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,9,10,12,13],[1,3,5,6,9,12,14],[1,4,5,8,11,12,14],[1,4,6,7,11,12,13],[1,4,7,8,9,11,13],[1,5,6,8,9,10,13],[1,5,7,8,10,12,14],[1,6,7,9,10,11,14],[2,3,7,8,9,11,12],[2,4,5,6,7,13,14],[2,4,5,9,10,11,14],[2,4,6,8,10,11,14],[2,5,6,9,11,12,13],[2,5,7,8,10,12,13],[2,6,7,8,9,12,14],[3,4,5,7,10,11,12],[3,4,6,7,8,9,10],[3,4,6,8,12,13,14],[3,4,9,10,12,13,14],[3,5,6,8,10,11,13],[3,5,7,9,11,13,14]]; G[1692]:=Group([(1,14)(2,13)(5,12)(6,9)(7,10)]); # Design 1693: autom. group order 2, simple B[1693]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,9,11,12,13],[1,3,5,6,9,12,14],[1,4,5,9,10,11,13],[1,4,6,7,9,10,14],[1,4,7,8,10,11,14],[1,5,6,8,10,12,13],[1,5,7,8,11,12,14],[1,6,7,8,9,12,13],[2,3,7,8,9,10,12],[2,4,5,6,8,13,14],[2,4,5,7,10,12,13],[2,4,6,8,10,12,14],[2,5,6,7,9,11,14],[2,5,9,10,11,12,14],[2,6,7,8,9,11,13],[3,4,5,7,8,11,12],[3,4,6,8,9,10,11],[3,4,6,11,12,13,14],[3,4,7,9,12,13,14],[3,5,6,7,10,11,13],[3,5,8,9,10,13,14]]; G[1693]:=Group([(1,14)(2,13)(5,12)(6,9)(8,11)]); # Design 1694: autom. group order 2, simple, residual B[1694]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,9,11,12,13],[1,3,5,6,9,12,14],[1,4,5,9,10,11,13],[1,4,6,7,9,10,14],[1,4,7,8,10,12,13],[1,5,6,8,10,12,13],[1,5,7,8,11,12,14],[1,6,7,8,9,11,14],[2,3,7,8,9,10,12],[2,4,5,6,8,13,14],[2,4,5,7,10,11,14],[2,4,6,8,10,12,14],[2,5,6,7,9,12,13],[2,5,9,10,11,12,14],[2,6,7,8,9,11,13],[3,4,5,7,8,11,12],[3,4,6,8,9,10,11],[3,4,6,11,12,13,14],[3,4,7,9,12,13,14],[3,5,6,7,10,11,13],[3,5,8,9,10,13,14]]; G[1694]:=Group([(1,14)(2,13)(5,12)(6,9)(8,11)]); # Design 1695: autom. group order 2, simple, residual B[1695]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,9,10,13,14],[1,3,5,6,9,11,14],[1,4,5,8,9,10,12],[1,4,6,7,11,12,14],[1,4,9,11,12,13,14],[1,5,6,7,8,13,14],[1,5,7,8,10,11,12],[1,6,7,8,9,10,13],[2,3,7,8,9,12,14],[2,4,5,6,10,11,13],[2,4,5,7,10,12,14],[2,4,6,7,8,9,11],[2,5,6,8,12,13,14],[2,5,7,9,11,12,13],[2,6,8,9,10,11,14],[3,4,5,8,11,13,14],[3,4,6,7,9,12,13],[3,4,6,8,10,12,14],[3,4,7,8,10,11,13],[3,5,6,9,10,12,13],[3,5,7,9,10,11,14]]; G[1695]:=Group([(2,12)(3,11)(5,14)(8,13)]); # Design 1696: autom. group order 2, simple, residual B[1696]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,9,10,13,14],[1,3,5,6,9,11,14],[1,4,5,8,9,10,12],[1,4,6,7,11,12,14],[1,4,9,11,12,13,14],[1,5,6,7,8,13,14],[1,5,7,8,10,11,12],[1,6,7,8,9,10,13],[2,3,7,8,9,12,14],[2,4,5,6,10,12,14],[2,4,5,7,10,11,13],[2,4,6,7,8,9,11],[2,5,6,8,12,13,14],[2,5,7,9,11,12,13],[2,6,8,9,10,11,14],[3,4,5,8,11,13,14],[3,4,6,7,9,12,13],[3,4,6,8,10,11,13],[3,4,7,8,10,12,14],[3,5,6,9,10,12,13],[3,5,7,9,10,11,14]]; G[1696]:=Group([(2,12)(3,11)(5,14)(8,13)]); # Design 1697: autom. group order 2, simple, residual B[1697]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,3,9,11,12,13],[1,2,4,7,10,11,14],[1,3,5,6,7,13,14],[1,4,5,7,8,11,12],[1,4,6,8,12,13,14],[1,4,9,11,12,13,14],[1,5,6,8,9,10,12],[1,5,7,9,10,13,14],[1,6,7,8,9,10,11],[2,3,7,8,9,12,14],[2,4,5,6,9,12,14],[2,4,5,8,10,11,13],[2,4,6,7,10,12,13],[2,5,6,8,11,13,14],[2,5,7,9,10,12,13],[2,6,7,8,9,11,14],[3,4,5,9,10,11,14],[3,4,6,7,9,11,13],[3,4,6,8,9,10,13],[3,4,7,8,10,12,14],[3,5,6,10,11,12,14],[3,5,7,8,11,12,13]]; G[1697]:=Group([(2,14)(3,13)(5,12)(6,9)(7,11)]); # Design 1698: autom. group order 2, simple B[1698]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,3,9,11,12,13],[1,2,4,7,10,11,14],[1,3,5,6,7,13,14],[1,4,5,8,11,12,13],[1,4,6,7,8,11,12],[1,4,7,9,10,13,14],[1,5,6,8,9,10,13],[1,5,9,10,11,12,14],[1,6,7,8,9,12,14],[2,3,7,8,9,12,14],[2,4,5,6,9,12,14],[2,4,5,7,10,12,13],[2,4,6,9,11,13,14],[2,5,6,8,10,11,14],[2,5,7,8,9,11,13],[2,6,7,8,10,12,13],[3,4,5,8,10,12,14],[3,4,6,8,11,13,14],[3,4,6,9,10,12,13],[3,4,7,8,9,10,11],[3,5,6,7,9,10,11],[3,5,7,11,12,13,14]]; G[1698]:=Group([(2,11)(3,12)(5,8)(9,13)]); # Design 1699: autom. group order 2, simple B[1699]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,3,9,11,12,13],[1,2,4,7,10,11,14],[1,3,5,6,7,13,14],[1,4,5,8,11,12,13],[1,4,6,7,8,11,12],[1,4,7,9,10,13,14],[1,5,6,8,9,10,13],[1,5,9,10,11,12,14],[1,6,7,8,9,12,14],[2,3,7,8,9,12,14],[2,4,5,6,12,13,14],[2,4,5,7,9,10,12],[2,4,6,9,11,13,14],[2,5,6,8,10,11,14],[2,5,7,8,9,11,13],[2,6,7,8,10,12,13],[3,4,5,8,10,12,14],[3,4,6,8,9,11,14],[3,4,6,9,10,12,13],[3,4,7,8,10,11,13],[3,5,6,7,9,10,11],[3,5,7,11,12,13,14]]; G[1699]:=Group([(2,11)(3,12)(5,8)(9,13)]); # Design 1700: autom. group order 2, simple, residual B[1700]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,7,11,12,14],[1,3,5,6,7,10,14],[1,4,5,8,10,12,13],[1,4,6,7,8,12,13],[1,4,7,9,10,11,14],[1,5,6,9,11,12,13],[1,5,8,9,10,11,14],[1,6,7,8,9,13,14],[2,3,7,8,9,13,14],[2,4,5,6,9,13,14],[2,4,5,7,10,11,13],[2,4,6,9,10,12,14],[2,5,6,8,11,12,14],[2,5,7,8,9,10,12],[2,6,7,8,10,11,13],[3,4,5,8,11,13,14],[3,4,6,8,10,12,14],[3,4,6,9,10,11,13],[3,4,7,8,9,11,12],[3,5,6,7,9,11,12],[3,5,7,10,12,13,14]]; G[1700]:=Group([(2,12)(3,13)(5,8)(9,10)]); # Design 1701: autom. group order 2, simple, residual B[1701]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,7,11,12,14],[1,3,5,6,7,10,14],[1,4,5,8,10,12,13],[1,4,6,7,8,12,13],[1,4,7,9,10,11,14],[1,5,6,9,11,12,13],[1,5,8,9,10,11,14],[1,6,7,8,9,13,14],[2,3,7,8,9,13,14],[2,4,5,6,10,13,14],[2,4,5,7,9,11,13],[2,4,6,9,10,12,14],[2,5,6,8,11,12,14],[2,5,7,8,9,10,12],[2,6,7,8,10,11,13],[3,4,5,8,11,13,14],[3,4,6,8,9,12,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,12],[3,5,6,7,9,11,12],[3,5,7,10,12,13,14]]; G[1701]:=Group([(2,12)(3,13)(5,8)(9,10)]); # Design 1702: autom. group order 2, simple, residual B[1702]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,3,9,12,13,14],[1,2,4,7,12,13,14],[1,3,5,6,7,10,14],[1,4,5,8,10,11,12],[1,4,6,7,8,9,13],[1,4,9,10,11,13,14],[1,5,6,8,12,13,14],[1,5,7,8,9,11,12],[1,6,7,9,10,11,14],[2,3,7,8,9,11,14],[2,4,5,6,9,11,14],[2,4,5,7,10,11,13],[2,4,6,8,10,12,14],[2,5,6,8,11,13,14],[2,5,7,9,10,12,13],[2,6,7,8,9,10,12],[3,4,5,9,10,12,14],[3,4,6,7,11,12,13],[3,4,6,8,9,10,13],[3,4,7,8,11,12,14],[3,5,6,9,11,12,13],[3,5,7,8,10,13,14]]; G[1702]:=Group([(2,11)(3,10)(4,9)(5,14)(8,13)]); # Design 1703: autom. group order 2, simple, residual B[1703]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,7,11,12,14],[1,3,5,6,7,13,14],[1,4,5,8,10,12,13],[1,4,6,9,10,11,13],[1,4,7,9,10,12,14],[1,5,6,8,9,11,12],[1,5,7,8,9,13,14],[1,6,7,8,10,11,14],[2,3,7,8,9,10,14],[2,4,5,6,7,10,12],[2,4,5,8,11,13,14],[2,4,6,8,10,13,14],[2,5,6,9,11,12,14],[2,5,7,9,10,11,13],[2,6,7,8,9,12,13],[3,4,5,9,10,11,14],[3,4,6,7,9,11,13],[3,4,6,8,9,12,14],[3,4,7,8,11,12,13],[3,5,6,10,12,13,14],[3,5,7,8,10,11,12]]; G[1703]:=Group([(2,14)(3,7)(4,13)]); # Design 1704: autom. group order 2, simple, residual B[1704]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,7,11,12,14],[1,3,5,6,7,13,14],[1,4,5,9,10,11,13],[1,4,6,8,9,12,13],[1,4,7,8,9,11,14],[1,5,6,8,10,11,12],[1,5,7,8,10,12,14],[1,6,7,9,10,13,14],[2,3,7,8,9,10,14],[2,4,5,6,10,13,14],[2,4,5,8,12,13,14],[2,4,6,7,9,10,12],[2,5,6,7,9,11,12],[2,5,7,8,10,11,13],[2,6,8,9,11,13,14],[3,4,5,9,10,11,14],[3,4,6,7,8,11,13],[3,4,6,8,10,12,14],[3,4,7,10,11,12,13],[3,5,6,9,11,12,14],[3,5,7,8,9,12,13]]; G[1704]:=Group([(2,7)(3,14)(5,11)(6,12)]); # Design 1705: autom. group order 2, simple, residual B[1705]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,7,11,12,14],[1,3,5,6,7,13,14],[1,4,5,9,10,11,12],[1,4,6,8,10,11,13],[1,4,7,8,10,13,14],[1,5,6,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,9,10,12,14],[2,3,7,8,9,10,14],[2,4,5,6,10,13,14],[2,4,5,8,10,12,14],[2,4,6,7,9,12,13],[2,5,6,7,8,11,12],[2,5,7,9,10,11,13],[2,6,8,9,11,13,14],[3,4,5,9,11,13,14],[3,4,6,7,9,10,11],[3,4,6,8,9,12,14],[3,4,7,8,11,12,13],[3,5,6,10,11,12,14],[3,5,7,8,10,12,13]]; G[1705]:=Group([(2,3)(4,13)(5,12)(6,11)(7,14)(8,10)]); # Design 1706: autom. group order 2, simple B[1706]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,7,11,12,14],[1,3,5,6,7,13,14],[1,4,5,9,10,11,13],[1,4,6,8,9,12,13],[1,4,7,8,9,11,14],[1,5,6,8,10,11,12],[1,5,7,8,10,12,14],[1,6,7,9,10,13,14],[2,3,7,8,9,10,14],[2,4,5,6,8,13,14],[2,4,5,9,10,12,14],[2,4,6,7,10,12,13],[2,5,6,7,9,11,12],[2,5,7,8,10,11,13],[2,6,8,9,11,13,14],[3,4,5,10,11,13,14],[3,4,6,7,9,10,11],[3,4,6,8,10,12,14],[3,4,7,8,11,12,13],[3,5,6,9,11,12,14],[3,5,7,8,9,12,13]]; G[1706]:=Group([(2,7)(3,14)(5,11)(6,12)]); # Design 1707: autom. group order 2, simple, residual B[1707]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,7,11,12,14],[1,3,5,6,7,13,14],[1,4,5,9,10,11,13],[1,4,6,8,9,12,13],[1,4,7,8,9,11,14],[1,5,6,8,10,11,12],[1,5,7,8,10,12,14],[1,6,7,9,10,13,14],[2,3,7,8,9,10,14],[2,4,5,6,8,13,14],[2,4,5,10,12,13,14],[2,4,6,7,9,10,12],[2,5,6,7,9,11,12],[2,5,7,8,10,11,13],[2,6,8,9,11,13,14],[3,4,5,9,10,11,14],[3,4,6,7,10,11,13],[3,4,6,8,10,12,14],[3,4,7,8,11,12,13],[3,5,6,9,11,12,14],[3,5,7,8,9,12,13]]; G[1707]:=Group([(2,7)(3,14)(5,11)(6,12)]); # Design 1708: autom. group order 2, simple, residual B[1708]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,7,11,12,14],[1,3,5,6,7,13,14],[1,4,5,8,10,11,13],[1,4,6,8,9,12,13],[1,4,7,8,9,11,14],[1,5,6,9,10,11,12],[1,5,7,8,10,12,14],[1,6,7,9,10,13,14],[2,3,7,8,9,10,14],[2,4,5,6,10,13,14],[2,4,5,9,10,12,14],[2,4,6,7,8,12,13],[2,5,6,7,9,11,12],[2,5,7,8,10,11,13],[2,6,8,9,11,13,14],[3,4,5,9,11,13,14],[3,4,6,7,9,10,11],[3,4,6,8,10,12,14],[3,4,7,10,11,12,13],[3,5,6,8,11,12,14],[3,5,7,8,9,12,13]]; G[1708]:=Group([(2,7)(3,14)(5,11)(6,12)]); # Design 1709: autom. group order 2, simple B[1709]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,12,13],[1,2,4,10,11,12,14],[1,3,5,6,11,13,14],[1,4,5,7,11,12,13],[1,4,6,7,8,10,12],[1,4,8,9,11,13,14],[1,5,6,8,9,10,13],[1,5,7,8,9,12,14],[1,6,7,9,10,11,14],[2,3,7,8,9,11,14],[2,4,5,6,9,11,12],[2,4,5,9,10,13,14],[2,4,7,8,10,11,13],[2,5,6,7,10,13,14],[2,5,6,8,11,12,14],[2,6,7,8,9,12,13],[3,4,5,7,8,10,14],[3,4,6,7,9,11,13],[3,4,6,8,12,13,14],[3,4,6,9,10,12,14],[3,5,7,9,10,11,12],[3,5,8,10,11,12,13]]; G[1709]:=Group([(1,11)(2,12)(3,5)(4,10)(6,13)(7,8)]); # Design 1710: autom. group order 2, simple, residual B[1710]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,9,10,11,14],[1,3,5,6,9,13,14],[1,4,5,7,9,11,12],[1,4,6,11,12,13,14],[1,4,7,8,12,13,14],[1,5,6,7,8,10,12],[1,5,8,9,10,13,14],[1,6,7,8,9,10,11],[2,3,7,8,9,12,14],[2,4,5,6,8,12,14],[2,4,5,8,10,11,13],[2,4,7,9,10,12,13],[2,5,6,7,11,13,14],[2,5,6,9,10,12,13],[2,6,7,8,9,11,14],[3,4,5,7,10,11,14],[3,4,6,7,8,10,13],[3,4,6,8,9,11,13],[3,4,6,9,10,12,14],[3,5,7,9,11,12,13],[3,5,8,10,11,12,14]]; G[1710]:=Group([(2,14)(3,13)(5,12)(6,8)(9,11)]); # Design 1711: autom. group order 2, simple, residual B[1711]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,3,9,12,13,14],[1,2,4,7,12,13,14],[1,3,5,6,7,10,14],[1,4,5,8,10,11,12],[1,4,6,7,8,9,13],[1,4,9,10,11,13,14],[1,5,6,8,12,13,14],[1,5,7,8,9,11,12],[1,6,7,9,10,11,14],[2,3,7,8,9,11,14],[2,4,5,6,9,11,14],[2,4,5,7,10,11,13],[2,4,7,8,10,12,14],[2,5,6,8,11,13,14],[2,5,6,9,10,12,13],[2,6,7,8,9,10,12],[3,4,5,9,10,12,14],[3,4,6,7,11,12,13],[3,4,6,8,9,10,13],[3,4,6,8,11,12,14],[3,5,7,8,10,13,14],[3,5,7,9,11,12,13]]; G[1711]:=Group([(2,11)(3,10)(4,9)(5,14)(8,13)]); # Design 1712: autom. group order 2, simple, residual B[1712]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,11,12],[1,2,4,10,12,13,14],[1,3,5,6,11,13,14],[1,4,5,8,11,13,14],[1,4,6,7,9,10,13],[1,4,7,8,9,10,14],[1,5,6,7,8,10,12],[1,5,7,9,11,12,14],[1,6,8,9,11,12,13],[2,3,7,8,9,13,14],[2,4,5,7,8,11,12],[2,4,5,9,10,11,13],[2,4,6,7,11,12,13],[2,5,6,8,10,13,14],[2,5,6,9,10,12,14],[2,6,7,8,9,11,14],[3,4,5,6,9,12,14],[3,4,6,7,10,11,14],[3,4,6,8,9,12,13],[3,4,8,10,11,12,14],[3,5,7,8,10,12,13],[3,5,7,9,10,11,13]]; G[1712]:=Group([(1,11)(2,10)(5,14)(9,12)]); # Design 1713: autom. group order 2, simple, residual B[1713]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,10,12,13,14],[1,3,5,6,11,13,14],[1,4,5,8,10,11,13],[1,4,6,7,8,12,14],[1,4,7,8,9,10,14],[1,5,6,7,9,13,14],[1,5,7,9,10,11,12],[1,6,8,9,11,12,13],[2,3,7,8,9,13,14],[2,4,5,7,9,11,13],[2,4,5,8,11,12,14],[2,4,6,7,11,12,13],[2,5,6,8,10,13,14],[2,5,6,9,10,12,14],[2,6,7,8,9,10,11],[3,4,5,6,9,10,12],[3,4,6,7,10,11,14],[3,4,6,8,9,12,13],[3,4,9,10,11,13,14],[3,5,7,8,10,12,13],[3,5,7,8,11,12,14]]; G[1713]:=Group([(1,11)(2,14)(5,10)(8,13)]); # Design 1714: autom. group order 2, simple B[1714]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,10,12,13,14],[1,3,5,6,11,13,14],[1,4,5,8,10,11,13],[1,4,6,7,8,12,14],[1,4,7,8,9,11,13],[1,5,6,7,9,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,12,14],[2,3,7,8,9,13,14],[2,4,5,7,9,10,14],[2,4,5,8,11,12,14],[2,4,6,7,11,12,13],[2,5,6,8,10,13,14],[2,5,6,9,11,12,13],[2,6,7,8,9,10,11],[3,4,5,6,9,10,12],[3,4,6,7,10,11,14],[3,4,6,8,9,12,13],[3,4,9,10,11,13,14],[3,5,7,8,10,12,13],[3,5,7,8,11,12,14]]; G[1714]:=Group([(1,11)(2,14)(5,10)(8,13)]); # Design 1715: autom. group order 2, simple, residual B[1715]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,11,12,13,14],[1,2,4,9,10,13,14],[1,3,5,6,9,11,14],[1,4,5,8,11,13,14],[1,4,6,7,8,12,14],[1,4,7,9,10,12,13],[1,5,6,8,9,12,13],[1,5,7,10,11,12,14],[1,6,7,8,9,10,11],[2,3,7,8,9,12,14],[2,4,5,7,8,11,12],[2,4,5,9,10,11,12],[2,4,6,7,11,13,14],[2,5,6,7,9,10,14],[2,5,6,8,10,13,14],[2,6,8,9,11,12,13],[3,4,5,6,10,12,13],[3,4,6,7,9,11,13],[3,4,6,8,10,12,14],[3,4,8,9,10,11,14],[3,5,7,8,10,11,13],[3,5,7,9,12,13,14]]; G[1715]:=Group([(1,11)(3,12)(6,10)(7,9)]); # Design 1716: autom. group order 2, simple, residual B[1716]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,11,12],[1,2,4,10,12,13,14],[1,3,5,6,11,13,14],[1,4,5,8,11,13,14],[1,4,6,7,9,10,13],[1,4,7,8,9,10,14],[1,5,6,8,10,12,13],[1,5,7,9,11,12,14],[1,6,7,8,9,11,12],[2,3,7,8,9,13,14],[2,4,5,7,8,11,12],[2,4,5,9,10,11,13],[2,4,6,7,11,12,13],[2,5,6,7,8,10,14],[2,5,6,9,10,12,14],[2,6,8,9,11,13,14],[3,4,5,6,9,12,14],[3,4,6,7,10,11,14],[3,4,6,8,9,12,13],[3,4,8,10,11,12,14],[3,5,7,8,10,12,13],[3,5,7,9,10,11,13]]; G[1716]:=Group([(1,11)(2,10)(5,14)(9,12)]); # Design 1717: autom. group order 2, simple, residual B[1717]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,11,12],[1,2,4,10,12,13,14],[1,3,5,6,11,13,14],[1,4,5,8,11,13,14],[1,4,6,7,9,10,13],[1,4,7,8,9,11,12],[1,5,6,8,10,12,13],[1,5,7,9,11,12,14],[1,6,7,8,9,10,14],[2,3,7,8,9,13,14],[2,4,5,7,8,10,14],[2,4,5,9,10,11,13],[2,4,6,7,11,12,13],[2,5,6,7,8,11,12],[2,5,6,9,10,12,14],[2,6,8,9,11,13,14],[3,4,5,6,9,12,14],[3,4,6,7,10,11,14],[3,4,6,8,9,12,13],[3,4,8,10,11,12,14],[3,5,7,8,10,12,13],[3,5,7,9,10,11,13]]; G[1717]:=Group([(1,11)(2,10)(5,14)(9,12)]); # Design 1718: autom. group order 2, simple B[1718]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,10,12,13,14],[1,3,5,6,11,13,14],[1,4,5,8,10,11,13],[1,4,6,7,8,12,14],[1,4,7,8,9,10,14],[1,5,6,9,12,13,14],[1,5,7,9,10,11,12],[1,6,7,8,9,11,13],[2,3,7,8,9,13,14],[2,4,5,7,9,11,13],[2,4,5,8,11,12,14],[2,4,6,7,11,12,13],[2,5,6,7,9,10,14],[2,5,6,8,10,13,14],[2,6,8,9,10,11,12],[3,4,5,6,9,10,12],[3,4,6,7,10,11,14],[3,4,6,8,9,12,13],[3,4,9,10,11,13,14],[3,5,7,8,10,12,13],[3,5,7,8,11,12,14]]; G[1718]:=Group([(1,11)(2,14)(5,10)(8,13)]); # Design 1719: autom. group order 2, simple B[1719]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,10,12,13,14],[1,3,5,6,11,13,14],[1,4,5,8,10,11,13],[1,4,6,7,8,12,14],[1,4,7,8,9,11,13],[1,5,6,9,12,13,14],[1,5,7,9,10,11,12],[1,6,7,8,9,10,14],[2,3,7,8,9,13,14],[2,4,5,7,9,10,14],[2,4,5,8,11,12,14],[2,4,6,7,11,12,13],[2,5,6,7,9,11,13],[2,5,6,8,10,13,14],[2,6,8,9,10,11,12],[3,4,5,6,9,10,12],[3,4,6,7,10,11,14],[3,4,6,8,9,12,13],[3,4,9,10,11,13,14],[3,5,7,8,10,12,13],[3,5,7,8,11,12,14]]; G[1719]:=Group([(1,11)(2,14)(5,10)(8,13)]); # Design 1720: autom. group order 2, simple, residual B[1720]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,11,12,13,14],[1,2,4,9,10,13,14],[1,3,5,6,9,11,14],[1,4,5,8,11,13,14],[1,4,6,8,9,12,14],[1,4,7,9,10,12,13],[1,5,6,7,8,12,13],[1,5,7,10,11,12,14],[1,6,7,8,9,10,11],[2,3,7,8,9,12,14],[2,4,5,7,8,11,12],[2,4,5,9,10,11,12],[2,4,6,7,11,13,14],[2,5,6,7,9,10,14],[2,5,6,8,10,13,14],[2,6,8,9,11,12,13],[3,4,5,6,10,12,13],[3,4,6,7,9,11,13],[3,4,6,8,10,12,14],[3,4,7,8,10,11,14],[3,5,7,9,12,13,14],[3,5,8,9,10,11,13]]; G[1720]:=Group([(1,11)(3,12)(6,10)(7,9)]); # Design 1721: autom. group order 2, simple, residual B[1721]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,3,9,11,12,13],[1,2,4,7,11,13,14],[1,3,5,6,7,10,14],[1,4,5,8,11,12,14],[1,4,6,8,9,10,13],[1,4,7,9,10,12,13],[1,5,6,8,9,12,14],[1,5,7,9,10,11,12],[1,6,7,8,11,13,14],[2,3,7,8,9,12,14],[2,4,5,7,8,10,11],[2,4,5,10,12,13,14],[2,4,6,7,9,12,14],[2,5,6,8,10,12,13],[2,5,6,9,11,13,14],[2,6,7,8,9,10,11],[3,4,5,6,9,11,13],[3,4,6,7,8,12,13],[3,4,6,10,11,12,14],[3,4,8,9,10,11,14],[3,5,7,8,11,12,13],[3,5,7,9,10,13,14]]; G[1721]:=Group([(1,10)(2,14)(5,11)(7,12)]); # Design 1722: autom. group order 2, simple, residual B[1722]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,3,9,11,12,13],[1,2,4,7,11,13,14],[1,3,5,6,7,10,14],[1,4,5,8,11,12,14],[1,4,6,8,9,10,13],[1,4,7,9,10,12,13],[1,5,6,8,12,13,14],[1,5,7,9,10,11,12],[1,6,7,8,9,11,14],[2,3,7,8,9,12,14],[2,4,5,7,8,10,11],[2,4,5,10,12,13,14],[2,4,6,7,9,12,14],[2,5,6,8,9,10,12],[2,5,6,9,11,13,14],[2,6,7,8,10,11,13],[3,4,5,6,9,11,13],[3,4,6,7,8,12,13],[3,4,6,10,11,12,14],[3,4,8,9,10,11,14],[3,5,7,8,11,12,13],[3,5,7,9,10,13,14]]; G[1722]:=Group([(1,10)(2,14)(5,11)(7,12)]); # Design 1723: autom. group order 2, simple, residual B[1723]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,3,9,11,13,14],[1,2,4,7,11,12,13],[1,3,5,7,10,12,14],[1,4,5,6,10,11,13],[1,4,6,7,8,10,14],[1,4,6,8,9,11,14],[1,5,6,8,9,12,13],[1,5,7,9,11,12,14],[1,7,8,9,10,12,13],[2,3,6,7,8,9,12],[2,4,5,7,9,13,14],[2,4,5,8,10,12,13],[2,4,6,9,10,12,14],[2,5,6,8,11,12,14],[2,5,7,8,10,11,14],[2,6,7,9,10,11,13],[3,4,5,9,10,11,12],[3,4,6,7,12,13,14],[3,4,7,8,9,10,11],[3,4,8,11,12,13,14],[3,5,6,7,8,11,13],[3,5,6,9,10,13,14]]; G[1723]:=Group([(1,14)(2,13)(5,12)(9,11)]); # Design 1724: autom. group order 2, simple, residual B[1724]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,3,9,11,12,13],[1,2,4,7,10,11,14],[1,3,5,7,12,13,14],[1,4,5,6,8,11,14],[1,4,6,8,10,12,13],[1,4,6,9,11,13,14],[1,5,7,8,9,11,13],[1,5,7,9,10,12,14],[1,6,7,8,9,10,12],[2,3,6,7,8,9,14],[2,4,5,6,7,12,13],[2,4,5,9,10,11,12],[2,4,7,9,10,13,14],[2,5,6,8,9,10,13],[2,5,8,11,12,13,14],[2,6,7,8,11,12,14],[3,4,5,8,10,12,14],[3,4,6,9,12,13,14],[3,4,7,8,9,11,12],[3,4,7,8,10,11,13],[3,5,6,7,10,11,13],[3,5,6,9,10,11,14]]; G[1724]:=Group([(1,11)(3,12)(4,14)(5,8)(9,13)]); # Design 1725: autom. group order 2, simple B[1725]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,9,10,11,14],[1,3,5,9,12,13,14],[1,4,5,6,9,11,13],[1,4,6,7,9,10,12],[1,4,7,8,12,13,14],[1,5,6,7,8,11,14],[1,5,6,8,10,12,14],[1,7,8,9,10,11,13],[2,3,6,7,8,9,14],[2,4,5,7,11,13,14],[2,4,5,8,10,12,14],[2,4,6,8,9,12,13],[2,5,6,8,10,11,13],[2,5,7,9,10,12,13],[2,6,7,9,11,12,14],[3,4,5,7,10,11,12],[3,4,6,7,8,10,13],[3,4,6,11,12,13,14],[3,4,8,9,10,11,14],[3,5,6,9,10,13,14],[3,5,7,8,9,11,12]]; G[1725]:=Group([(1,12)(2,11)(4,7)(6,10)]); # Design 1726: autom. group order 2, simple, residual B[1726]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,9,10,11,14],[1,3,5,9,12,13,14],[1,4,5,6,9,11,13],[1,4,6,7,8,10,12],[1,4,7,8,12,13,14],[1,5,6,7,8,11,14],[1,5,6,9,10,12,14],[1,7,8,9,10,11,13],[2,3,6,7,8,9,14],[2,4,5,7,11,13,14],[2,4,5,8,10,12,14],[2,4,6,8,9,12,13],[2,5,6,8,10,11,13],[2,5,7,9,10,12,13],[2,6,7,9,11,12,14],[3,4,5,7,10,11,12],[3,4,6,7,9,10,13],[3,4,6,11,12,13,14],[3,4,8,9,10,11,14],[3,5,6,8,10,13,14],[3,5,7,8,9,11,12]]; G[1726]:=Group([(1,12)(2,11)(4,7)(6,10)]); # Design 1727: autom. group order 2, simple, residual B[1727]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,11,12,13,14],[1,2,4,9,10,11,14],[1,3,5,9,12,13,14],[1,4,5,6,9,11,13],[1,4,6,7,9,10,12],[1,4,7,8,12,13,14],[1,5,6,7,8,11,14],[1,5,6,8,10,12,14],[1,7,8,9,10,11,13],[2,3,6,7,8,9,14],[2,4,5,7,11,13,14],[2,4,5,8,10,12,14],[2,4,6,8,9,12,13],[2,5,6,8,10,11,13],[2,5,7,9,10,12,13],[2,6,7,9,11,12,14],[3,4,5,7,10,11,12],[3,4,6,7,10,13,14],[3,4,6,8,11,12,13],[3,4,8,9,10,11,14],[3,5,6,9,10,13,14],[3,5,7,8,9,11,12]]; G[1727]:=Group([(1,12)(2,11)(4,7)(6,10)]); # Design 1728: autom. group order 2, simple, residual B[1728]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,11,12,13,14],[1,2,4,9,10,11,14],[1,3,5,9,12,13,14],[1,4,5,6,8,11,14],[1,4,6,7,9,10,12],[1,4,7,8,12,13,14],[1,5,6,7,9,11,13],[1,5,6,8,10,12,14],[1,7,8,9,10,11,13],[2,3,6,7,8,9,14],[2,4,5,7,11,13,14],[2,4,5,9,10,12,13],[2,4,6,8,9,12,13],[2,5,6,8,10,11,13],[2,5,7,8,10,12,14],[2,6,7,9,11,12,14],[3,4,5,7,10,11,12],[3,4,6,7,10,13,14],[3,4,6,8,11,12,13],[3,4,8,9,10,11,14],[3,5,6,9,10,13,14],[3,5,7,8,9,11,12]]; G[1728]:=Group([(1,12)(2,11)(4,7)(6,10)]); # Design 1729: autom. group order 2, simple B[1729]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,11,12,13,14],[1,2,4,9,11,12,14],[1,3,5,9,10,13,14],[1,4,5,6,10,12,14],[1,4,6,8,11,13,14],[1,4,7,8,9,10,12],[1,5,6,7,8,13,14],[1,5,6,7,9,11,12],[1,7,8,9,10,11,13],[2,3,6,7,8,9,14],[2,4,5,7,10,11,14],[2,4,5,8,10,11,13],[2,4,6,8,9,12,13],[2,5,6,9,10,12,13],[2,5,7,8,12,13,14],[2,6,7,9,10,11,14],[3,4,5,7,9,11,13],[3,4,6,7,11,12,13],[3,4,6,9,10,13,14],[3,4,7,8,10,12,14],[3,5,6,8,10,11,12],[3,5,8,9,11,12,14]]; G[1729]:=Group([(1,12)(3,13)(4,9)(5,6)(7,10)(11,14)]); # Design 1730: autom. group order 2, simple, residual B[1730]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,3,9,11,12,13],[1,2,4,7,10,11,14],[1,3,5,7,12,13,14],[1,4,5,6,8,11,14],[1,4,6,8,10,12,13],[1,4,7,9,11,13,14],[1,5,6,8,9,11,13],[1,5,7,9,10,12,14],[1,6,7,8,9,10,12],[2,3,6,7,8,9,14],[2,4,5,6,7,12,13],[2,4,5,9,10,11,12],[2,4,6,9,10,13,14],[2,5,7,8,9,10,13],[2,5,8,11,12,13,14],[2,6,7,8,11,12,14],[3,4,5,8,10,12,14],[3,4,6,9,12,13,14],[3,4,7,8,9,11,12],[3,4,7,8,10,11,13],[3,5,6,7,10,11,13],[3,5,6,9,10,11,14]]; G[1730]:=Group([(1,11)(3,12)(4,14)(5,8)(9,13)]); # Design 1731: autom. group order 2, simple, residual B[1731]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,11,12,13,14],[1,2,4,9,10,12,14],[1,3,5,9,11,13,14],[1,4,5,6,7,11,12],[1,4,6,9,10,12,14],[1,4,7,8,11,13,14],[1,5,6,8,10,13,14],[1,5,7,8,9,10,13],[1,6,7,8,9,11,12],[2,3,6,7,8,9,14],[2,4,5,6,10,11,13],[2,4,5,8,9,12,13],[2,4,7,8,10,11,14],[2,5,6,7,12,13,14],[2,5,7,9,10,11,14],[2,6,8,9,11,12,13],[3,4,5,8,11,12,14],[3,4,6,7,9,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,12,13],[3,5,6,8,10,12,14],[3,5,7,9,10,11,12]]; G[1731]:=Group([(1,12)(3,13)(4,9)(5,8)(7,11)(10,14)]); # Design 1732: autom. group order 2, simple, residual B[1732]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,10,11,12,13],[1,2,4,9,10,12,14],[1,3,5,9,11,13,14],[1,4,5,6,7,11,12],[1,4,6,9,10,12,14],[1,4,7,8,11,13,14],[1,5,6,8,10,13,14],[1,5,7,8,9,10,13],[1,6,7,8,9,11,12],[2,3,6,7,8,9,14],[2,4,5,6,10,11,13],[2,4,5,8,9,12,13],[2,4,7,8,10,11,14],[2,5,6,7,12,13,14],[2,5,7,9,10,11,14],[2,6,8,9,11,12,13],[3,4,5,8,11,12,14],[3,4,6,7,9,10,13],[3,4,6,9,11,13,14],[3,4,7,8,10,12,13],[3,5,6,8,10,12,14],[3,5,7,9,10,11,12]]; G[1732]:=Group([(1,12)(3,13)(4,9)(5,8)(7,11)(10,14)]); # Design 1733: autom. group order 2, simple B[1733]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,9,10,11,14],[1,3,5,9,12,13,14],[1,4,5,6,9,11,13],[1,4,6,7,9,10,12],[1,4,7,8,12,13,14],[1,5,6,8,10,12,14],[1,5,7,8,10,11,14],[1,6,7,8,9,11,13],[2,3,6,7,8,9,14],[2,4,5,6,8,12,14],[2,4,5,7,11,13,14],[2,4,8,9,10,12,13],[2,5,6,8,10,11,13],[2,5,7,9,10,12,13],[2,6,7,9,11,12,14],[3,4,5,7,10,11,12],[3,4,6,7,8,10,13],[3,4,6,11,12,13,14],[3,4,8,9,10,11,14],[3,5,6,9,10,13,14],[3,5,7,8,9,11,12]]; G[1733]:=Group([(1,12)(2,11)(4,7)(6,10)]); # Design 1734: autom. group order 2, simple, residual B[1734]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,9,10,11,14],[1,3,5,9,12,13,14],[1,4,5,6,9,11,13],[1,4,6,7,8,10,12],[1,4,7,8,12,13,14],[1,5,6,9,10,12,14],[1,5,7,8,10,11,14],[1,6,7,8,9,11,13],[2,3,6,7,8,9,14],[2,4,5,6,8,12,14],[2,4,5,7,11,13,14],[2,4,8,9,10,12,13],[2,5,6,8,10,11,13],[2,5,7,9,10,12,13],[2,6,7,9,11,12,14],[3,4,5,7,10,11,12],[3,4,6,7,9,10,13],[3,4,6,11,12,13,14],[3,4,8,9,10,11,14],[3,5,6,8,10,13,14],[3,5,7,8,9,11,12]]; G[1734]:=Group([(1,12)(2,11)(4,7)(6,10)]); # Design 1735: autom. group order 2, simple, residual B[1735]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,11,12,13,14],[1,2,4,9,10,11,14],[1,3,5,9,12,13,14],[1,4,5,6,9,11,13],[1,4,6,7,9,10,12],[1,4,7,8,12,13,14],[1,5,6,8,10,12,14],[1,5,7,8,10,11,14],[1,6,7,8,9,11,13],[2,3,6,7,8,9,14],[2,4,5,6,8,12,14],[2,4,5,7,11,13,14],[2,4,8,9,10,12,13],[2,5,6,8,10,11,13],[2,5,7,9,10,12,13],[2,6,7,9,11,12,14],[3,4,5,7,10,11,12],[3,4,6,7,10,13,14],[3,4,6,8,11,12,13],[3,4,8,9,10,11,14],[3,5,6,9,10,13,14],[3,5,7,8,9,11,12]]; G[1735]:=Group([(1,12)(2,11)(4,7)(6,10)]); # Design 1736: autom. group order 2, simple, residual B[1736]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,11,12,13,14],[1,2,4,9,10,11,14],[1,3,5,9,12,13,14],[1,4,5,6,8,11,14],[1,4,6,7,9,10,12],[1,4,7,8,12,13,14],[1,5,6,8,10,12,14],[1,5,7,9,10,11,13],[1,6,7,8,9,11,13],[2,3,6,7,8,9,14],[2,4,5,6,9,12,13],[2,4,5,7,11,13,14],[2,4,8,9,10,12,13],[2,5,6,8,10,11,13],[2,5,7,8,10,12,14],[2,6,7,9,11,12,14],[3,4,5,7,10,11,12],[3,4,6,7,10,13,14],[3,4,6,8,11,12,13],[3,4,8,9,10,11,14],[3,5,6,9,10,13,14],[3,5,7,8,9,11,12]]; G[1736]:=Group([(1,12)(2,11)(4,7)(6,10)]); # Design 1737: autom. group order 2, simple, residual B[1737]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,3,9,11,12,13],[1,2,4,7,10,11,14],[1,3,5,7,12,13,14],[1,4,5,6,8,11,14],[1,4,6,9,11,13,14],[1,4,7,8,10,12,13],[1,5,6,9,10,12,14],[1,5,7,8,9,11,13],[1,6,7,8,9,10,12],[2,3,6,7,8,9,14],[2,4,5,6,7,12,13],[2,4,5,9,10,11,12],[2,4,7,9,10,13,14],[2,5,6,8,9,10,13],[2,5,8,11,12,13,14],[2,6,7,8,11,12,14],[3,4,5,8,10,12,14],[3,4,6,8,10,11,13],[3,4,6,9,12,13,14],[3,4,7,8,9,11,12],[3,5,6,7,10,11,13],[3,5,7,9,10,11,14]]; G[1737]:=Group([(1,11)(3,12)(4,14)(5,8)(9,13)]); # Design 1738: autom. group order 2, simple, residual B[1738]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,9,11,12,13],[1,3,5,9,10,12,14],[1,4,5,6,8,12,13],[1,4,6,9,10,11,14],[1,4,7,9,10,12,13],[1,5,6,7,8,10,13],[1,5,7,8,11,12,14],[1,6,7,8,9,11,14],[2,3,6,7,8,9,12],[2,4,5,7,11,13,14],[2,4,5,8,9,10,14],[2,4,7,8,10,11,12],[2,5,6,7,9,10,11],[2,5,6,10,12,13,14],[2,6,8,9,12,13,14],[3,4,5,6,11,12,14],[3,4,6,7,9,13,14],[3,4,6,8,10,11,13],[3,4,7,8,10,12,14],[3,5,7,9,11,12,13],[3,5,8,9,10,11,13]]; G[1738]:=Group([(1,13)(3,14)(4,12)(5,6)(7,10)]); # Design 1739: autom. group order 2, simple, residual B[1739]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,7,11,13,14],[1,4,6,8,9,10,13],[1,4,6,8,11,12,14],[1,4,7,9,10,13,14],[1,5,6,8,9,11,13],[1,5,7,8,10,12,14],[1,5,7,9,10,11,12],[2,3,8,9,10,11,14],[2,4,5,7,8,12,13],[2,4,5,9,10,11,12],[2,4,5,10,11,13,14],[2,5,6,7,8,9,14],[2,6,7,8,10,11,13],[2,6,7,9,12,13,14],[3,4,5,6,10,13,14],[3,4,6,7,9,10,12],[3,4,7,8,9,11,14],[3,4,7,8,11,12,13],[3,5,6,8,10,12,14],[3,5,6,9,11,12,13]]; G[1739]:=Group([(1,6)(3,7)(4,11)(5,10)(9,13)(12,14)]); # Design 1740: autom. group order 2, simple B[1740]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,6,9,10,14],[1,3,5,9,11,13,14],[1,4,6,7,8,9,13],[1,4,6,7,11,12,14],[1,4,8,9,10,11,12],[1,5,6,8,12,13,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,9,12,14],[2,4,5,7,11,12,13],[2,4,5,8,10,13,14],[2,4,5,9,11,12,14],[2,5,6,7,8,10,12],[2,6,7,9,11,13,14],[2,6,8,9,10,11,13],[3,4,5,6,10,11,13],[3,4,6,8,12,13,14],[3,4,7,8,10,11,14],[3,4,7,9,10,12,13],[3,5,6,7,8,9,11],[3,5,6,9,10,12,14]]; G[1740]:=Group([(1,4)(3,5)(6,9)(7,8)(10,14)]); # Design 1741: autom. group order 2, simple B[1741]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,3,8,12,13,14],[1,2,4,6,9,12,14],[1,3,5,9,10,13,14],[1,4,6,7,8,9,13],[1,4,6,7,10,11,14],[1,4,8,9,10,11,12],[1,5,6,8,11,13,14],[1,5,7,8,10,12,14],[1,5,7,9,11,12,13],[2,3,7,8,9,11,14],[2,4,5,7,12,13,14],[2,4,5,8,10,11,13],[2,4,5,9,10,11,14],[2,5,6,7,8,11,12],[2,6,7,9,10,13,14],[2,6,8,9,10,12,13],[3,4,5,6,10,12,13],[3,4,6,8,11,13,14],[3,4,7,8,10,12,14],[3,4,7,9,11,12,13],[3,5,6,7,8,9,10],[3,5,6,9,11,12,14]]; G[1741]:=Group([(1,4)(3,5)(6,9)(7,8)(12,14)]); # Design 1742: autom. group order 2, simple B[1742]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,12,13,14],[1,3,5,9,10,12,14],[1,4,6,7,8,11,14],[1,4,6,8,9,10,12],[1,4,7,9,10,11,13],[1,5,6,7,12,13,14],[1,5,7,8,9,11,12],[1,5,8,10,11,13,14],[2,3,7,8,11,12,14],[2,4,5,7,10,11,14],[2,4,5,8,10,12,14],[2,4,5,9,11,12,13],[2,5,6,7,8,9,13],[2,6,7,9,10,11,12],[2,6,8,9,10,13,14],[3,4,5,6,10,11,13],[3,4,6,8,9,11,14],[3,4,7,8,10,12,13],[3,4,7,9,12,13,14],[3,5,6,7,9,10,14],[3,5,6,8,11,12,13]]; G[1742]:=Group([(1,9)(2,14)(4,10)(8,12)]); # Design 1743: autom. group order 2, simple, residual B[1743]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,12,13,14],[1,3,5,9,10,12,14],[1,4,6,7,8,11,14],[1,4,6,8,9,10,12],[1,4,7,9,10,11,13],[1,5,6,7,12,13,14],[1,5,7,8,10,11,14],[1,5,8,9,11,12,13],[2,3,7,8,11,12,14],[2,4,5,7,9,11,12],[2,4,5,8,10,12,14],[2,4,5,10,11,13,14],[2,5,6,7,8,9,13],[2,6,7,9,10,11,12],[2,6,8,9,10,13,14],[3,4,5,6,10,11,13],[3,4,6,8,9,11,14],[3,4,7,8,10,12,13],[3,4,7,9,12,13,14],[3,5,6,7,9,10,14],[3,5,6,8,11,12,13]]; G[1743]:=Group([(1,9)(2,14)(4,10)(8,12)]); # Design 1744: autom. group order 2, simple B[1744]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,12,13,14],[1,3,5,9,10,13,14],[1,4,6,7,8,11,14],[1,4,6,8,9,10,13],[1,4,7,9,10,11,12],[1,5,6,7,12,13,14],[1,5,7,8,9,11,13],[1,5,8,10,11,12,14],[2,3,7,8,11,13,14],[2,4,5,7,10,11,14],[2,4,5,8,10,13,14],[2,4,5,9,11,12,13],[2,5,6,7,8,9,12],[2,6,7,9,10,11,13],[2,6,8,9,10,12,14],[3,4,5,6,10,11,12],[3,4,6,9,11,13,14],[3,4,7,8,9,12,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,14],[3,5,6,8,11,12,13]]; G[1744]:=Group([(1,9)(2,14)(4,10)(8,13)]); # Design 1745: autom. group order 2, simple, residual B[1745]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,12,13,14],[1,3,5,9,10,13,14],[1,4,6,7,8,11,14],[1,4,6,8,9,10,13],[1,4,7,9,10,11,12],[1,5,6,7,12,13,14],[1,5,7,8,10,11,14],[1,5,8,9,11,12,13],[2,3,7,8,11,13,14],[2,4,5,7,9,11,13],[2,4,5,8,10,13,14],[2,4,5,10,11,12,14],[2,5,6,7,8,9,12],[2,6,7,9,10,11,13],[2,6,8,9,10,12,14],[3,4,5,6,10,11,12],[3,4,6,9,11,13,14],[3,4,7,8,9,12,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,14],[3,5,6,8,11,12,13]]; G[1745]:=Group([(1,9)(2,14)(4,10)(8,13)]); # Design 1746: autom. group order 2, simple, residual B[1746]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,8,9,13,14],[1,4,6,8,10,11,13],[1,4,6,9,10,12,14],[1,4,7,9,10,11,13],[1,5,6,7,11,13,14],[1,5,7,8,9,11,12],[1,5,7,8,10,12,14],[2,3,7,9,10,11,14],[2,4,5,7,9,10,13],[2,4,5,8,10,11,14],[2,4,5,11,12,13,14],[2,5,6,8,10,12,13],[2,6,7,8,9,11,12],[2,6,7,8,9,13,14],[3,4,5,6,7,11,12],[3,4,6,7,8,13,14],[3,4,7,8,10,12,14],[3,4,8,9,11,12,13],[3,5,6,9,10,11,14],[3,5,6,9,10,12,13]]; G[1746]:=Group([(1,4)(3,5)(6,9)(7,8)(11,13)(12,14)]); # Design 1747: autom. group order 2, simple, residual B[1747]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,12,13,14],[1,3,5,7,10,13,14],[1,4,6,7,9,11,14],[1,4,7,8,10,11,14],[1,4,8,9,10,12,13],[1,5,6,8,9,10,14],[1,5,6,8,11,12,13],[1,5,7,9,11,12,13],[2,3,8,9,11,13,14],[2,4,5,6,9,10,13],[2,4,5,7,8,11,12],[2,4,5,10,11,12,14],[2,5,7,8,9,13,14],[2,6,7,8,10,11,13],[2,6,7,9,10,12,14],[3,4,5,10,11,13,14],[3,4,6,7,9,11,13],[3,4,6,8,12,13,14],[3,4,7,8,9,10,12],[3,5,6,7,8,12,14],[3,5,6,9,10,11,12]]; G[1747]:=Group([(2,12)(3,13)(4,11)(6,9)]); # Design 1748: autom. group order 2, simple, residual B[1748]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,12,13,14],[1,3,5,9,10,12,14],[1,4,6,7,8,9,11],[1,4,7,10,12,13,14],[1,4,8,9,11,12,13],[1,5,6,7,8,12,14],[1,5,6,9,10,11,14],[1,5,7,8,10,11,13],[2,3,7,8,11,12,14],[2,4,5,6,10,11,13],[2,4,5,7,9,10,12],[2,4,5,8,11,12,14],[2,5,7,9,11,13,14],[2,6,7,8,9,10,14],[2,6,8,9,10,12,13],[3,4,5,8,10,13,14],[3,4,6,7,9,13,14],[3,4,6,8,10,11,14],[3,4,7,9,10,11,12],[3,5,6,7,11,12,13],[3,5,6,8,9,12,13]]; G[1748]:=Group([(1,4)(3,5)(8,9)(12,13)]); # Design 1749: autom. group order 2, simple, residual B[1749]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,12,13,14],[1,3,5,9,10,12,14],[1,4,6,7,8,9,11],[1,4,7,10,12,13,14],[1,4,8,9,11,12,13],[1,5,6,7,8,13,14],[1,5,6,9,10,11,14],[1,5,7,8,10,11,12],[2,3,7,8,11,12,14],[2,4,5,6,10,11,13],[2,4,5,7,9,10,12],[2,4,5,8,11,12,14],[2,5,7,9,11,13,14],[2,6,7,8,9,10,14],[2,6,8,9,10,12,13],[3,4,5,8,10,13,14],[3,4,6,7,9,12,14],[3,4,6,8,10,11,14],[3,4,7,9,10,11,13],[3,5,6,7,11,12,13],[3,5,6,8,9,12,13]]; G[1749]:=Group([(1,4)(3,5)(8,9)(12,13)]); # Design 1750: autom. group order 2, simple, residual B[1750]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,12,13,14],[1,3,5,9,10,12,14],[1,4,6,7,8,9,14],[1,4,7,10,12,13,14],[1,4,8,9,11,12,13],[1,5,6,7,8,11,12],[1,5,6,9,10,11,14],[1,5,7,8,10,11,13],[2,3,7,8,11,12,14],[2,4,5,6,10,11,13],[2,4,5,7,9,10,12],[2,4,5,8,11,12,14],[2,5,7,9,11,13,14],[2,6,7,8,9,10,14],[2,6,8,9,10,12,13],[3,4,5,8,10,13,14],[3,4,6,7,9,11,13],[3,4,6,8,10,11,14],[3,4,7,9,10,11,12],[3,5,6,7,12,13,14],[3,5,6,8,9,12,13]]; G[1750]:=Group([(1,4)(3,5)(8,9)(12,13)]); # Design 1751: autom. group order 2, simple, residual B[1751]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,12,13,14],[1,3,5,9,10,12,14],[1,4,6,7,8,9,14],[1,4,7,10,12,13,14],[1,4,8,9,11,12,13],[1,5,6,7,8,11,13],[1,5,6,9,10,11,14],[1,5,7,8,10,11,12],[2,3,7,8,11,12,14],[2,4,5,6,10,11,13],[2,4,5,7,9,10,12],[2,4,5,8,11,12,14],[2,5,7,9,11,13,14],[2,6,7,8,9,10,14],[2,6,8,9,10,12,13],[3,4,5,8,10,13,14],[3,4,6,7,9,11,12],[3,4,6,8,10,11,14],[3,4,7,9,10,11,13],[3,5,6,7,12,13,14],[3,5,6,8,9,12,13]]; G[1751]:=Group([(1,4)(3,5)(8,9)(12,13)]); # Design 1752: autom. group order 2, simple, residual B[1752]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,12,13,14],[1,3,5,8,10,12,14],[1,4,6,7,8,9,11],[1,4,7,10,12,13,14],[1,4,8,9,11,12,13],[1,5,6,7,9,12,14],[1,5,6,8,10,11,14],[1,5,7,9,10,11,13],[2,3,7,9,11,12,14],[2,4,5,6,10,11,13],[2,4,5,7,9,10,12],[2,4,5,8,11,12,14],[2,5,7,8,11,13,14],[2,6,7,8,9,10,14],[2,6,8,9,10,12,13],[3,4,5,9,10,13,14],[3,4,6,7,8,13,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,12],[3,5,6,7,11,12,13],[3,5,6,8,9,12,13]]; G[1752]:=Group([(1,4)(3,5)(8,9)(12,13)]); # Design 1753: autom. group order 2, simple, residual B[1753]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,12,13,14],[1,3,5,8,10,12,14],[1,4,6,7,8,9,11],[1,4,7,10,12,13,14],[1,4,8,9,11,12,13],[1,5,6,7,9,13,14],[1,5,6,8,10,11,14],[1,5,7,9,10,11,12],[2,3,7,9,11,12,14],[2,4,5,6,10,11,13],[2,4,5,7,9,10,12],[2,4,5,8,11,12,14],[2,5,7,8,11,13,14],[2,6,7,8,9,10,14],[2,6,8,9,10,12,13],[3,4,5,9,10,13,14],[3,4,6,7,8,12,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,13],[3,5,6,7,11,12,13],[3,5,6,8,9,12,13]]; G[1753]:=Group([(1,4)(3,5)(8,9)(12,13)]); # Design 1754: autom. group order 2, simple, residual B[1754]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,12,13,14],[1,3,5,8,10,12,14],[1,4,6,7,8,9,14],[1,4,7,10,12,13,14],[1,4,8,9,11,12,13],[1,5,6,7,9,11,12],[1,5,6,8,10,11,14],[1,5,7,9,10,11,13],[2,3,7,9,11,12,14],[2,4,5,6,10,11,13],[2,4,5,7,9,10,12],[2,4,5,8,11,12,14],[2,5,7,8,11,13,14],[2,6,7,8,9,10,14],[2,6,8,9,10,12,13],[3,4,5,9,10,13,14],[3,4,6,7,8,11,13],[3,4,6,9,10,11,14],[3,4,7,8,10,11,12],[3,5,6,7,12,13,14],[3,5,6,8,9,12,13]]; G[1754]:=Group([(1,4)(3,5)(8,9)(12,13)]); # Design 1755: autom. group order 2, simple, residual B[1755]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,12,13,14],[1,3,5,8,10,12,14],[1,4,6,7,8,9,14],[1,4,7,10,12,13,14],[1,4,8,9,11,12,13],[1,5,6,7,9,11,13],[1,5,6,8,10,11,14],[1,5,7,9,10,11,12],[2,3,7,9,11,12,14],[2,4,5,6,10,11,13],[2,4,5,7,9,10,12],[2,4,5,8,11,12,14],[2,5,7,8,11,13,14],[2,6,7,8,9,10,14],[2,6,8,9,10,12,13],[3,4,5,9,10,13,14],[3,4,6,7,8,11,12],[3,4,6,9,10,11,14],[3,4,7,8,10,11,13],[3,5,6,7,12,13,14],[3,5,6,8,9,12,13]]; G[1755]:=Group([(1,4)(3,5)(8,9)(12,13)]); # Design 1756: autom. group order 2, simple B[1756]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,10,13,14],[1,3,5,9,11,13,14],[1,4,6,7,11,12,13],[1,4,7,8,9,10,14],[1,4,8,9,11,12,13],[1,5,6,7,9,10,12],[1,5,6,8,12,13,14],[1,5,7,8,10,11,14],[2,3,7,8,12,13,14],[2,4,5,6,9,12,14],[2,4,5,7,11,13,14],[2,4,5,8,10,11,12],[2,5,7,9,10,11,13],[2,6,7,8,9,11,12],[2,6,8,9,10,13,14],[3,4,5,8,10,12,13],[3,4,6,7,8,11,14],[3,4,6,9,10,11,13],[3,4,7,9,10,12,14],[3,5,6,7,8,9,13],[3,5,6,10,11,12,14]]; G[1756]:=Group([(1,4)(3,5)(8,9)(10,14)(11,12)]); # Design 1757: autom. group order 2, simple, residual B[1757]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,10,13,14],[1,3,5,9,11,13,14],[1,4,6,7,11,12,13],[1,4,7,8,9,11,12],[1,4,8,9,10,13,14],[1,5,6,7,9,10,12],[1,5,6,8,12,13,14],[1,5,7,8,10,11,14],[2,3,7,8,12,13,14],[2,4,5,6,9,12,14],[2,4,5,7,11,13,14],[2,4,5,8,10,11,12],[2,5,7,9,10,11,13],[2,6,7,8,9,10,14],[2,6,8,9,11,12,13],[3,4,5,8,10,12,13],[3,4,6,7,8,11,14],[3,4,6,9,10,11,13],[3,4,7,9,10,12,14],[3,5,6,7,8,9,13],[3,5,6,10,11,12,14]]; G[1757]:=Group([(1,4)(3,5)(8,9)(10,14)(11,12)]); # Design 1758: autom. group order 2, simple B[1758]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,10,13,14],[1,3,5,9,11,13,14],[1,4,6,7,11,12,13],[1,4,7,8,9,10,14],[1,4,8,9,11,12,13],[1,5,6,7,8,12,14],[1,5,6,9,10,12,13],[1,5,7,8,10,11,14],[2,3,7,8,12,13,14],[2,4,5,6,9,12,14],[2,4,5,7,11,13,14],[2,4,5,8,10,11,12],[2,5,7,9,10,11,13],[2,6,7,8,9,11,12],[2,6,8,9,10,13,14],[3,4,5,8,10,12,13],[3,4,6,7,9,10,11],[3,4,6,8,11,13,14],[3,4,7,9,10,12,14],[3,5,6,7,8,9,13],[3,5,6,10,11,12,14]]; G[1758]:=Group([(1,4)(3,5)(8,9)(10,14)(11,12)]); # Design 1759: autom. group order 2, simple, residual B[1759]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,10,13,14],[1,3,5,9,11,13,14],[1,4,6,7,11,12,13],[1,4,7,8,9,11,12],[1,4,8,9,10,13,14],[1,5,6,7,8,12,14],[1,5,6,9,10,12,13],[1,5,7,8,10,11,14],[2,3,7,8,12,13,14],[2,4,5,6,9,12,14],[2,4,5,7,11,13,14],[2,4,5,8,10,11,12],[2,5,7,9,10,11,13],[2,6,7,8,9,10,14],[2,6,8,9,11,12,13],[3,4,5,8,10,12,13],[3,4,6,7,9,10,11],[3,4,6,8,11,13,14],[3,4,7,9,10,12,14],[3,5,6,7,8,9,13],[3,5,6,10,11,12,14]]; G[1759]:=Group([(1,4)(3,5)(8,9)(10,14)(11,12)]); # Design 1760: autom. group order 2, simple B[1760]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,11,12],[1,2,4,6,10,13,14],[1,3,5,9,11,13,14],[1,4,6,7,11,12,13],[1,4,7,8,9,10,14],[1,4,8,9,11,12,13],[1,5,6,7,8,10,12],[1,5,6,8,11,13,14],[1,5,7,9,10,12,14],[2,3,7,8,12,13,14],[2,4,5,6,9,12,14],[2,4,5,7,10,11,13],[2,4,5,8,11,12,14],[2,5,7,9,10,11,13],[2,6,7,8,9,11,12],[2,6,8,9,10,13,14],[3,4,5,8,10,12,13],[3,4,6,7,9,11,14],[3,4,6,9,10,12,13],[3,4,7,8,10,11,14],[3,5,6,7,8,9,13],[3,5,6,10,11,12,14]]; G[1760]:=Group([(1,4)(3,5)(8,9)(10,14)(11,12)]); # Design 1761: autom. group order 2, simple B[1761]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,11,12],[1,2,4,6,10,13,14],[1,3,5,9,11,13,14],[1,4,6,7,11,12,13],[1,4,7,8,9,10,14],[1,4,8,9,11,12,13],[1,5,6,7,8,11,14],[1,5,6,8,10,12,13],[1,5,7,9,10,12,14],[2,3,7,8,12,13,14],[2,4,5,6,9,12,14],[2,4,5,7,10,11,13],[2,4,5,8,11,12,14],[2,5,7,9,10,11,13],[2,6,7,8,9,11,12],[2,6,8,9,10,13,14],[3,4,5,8,10,12,13],[3,4,6,7,9,10,12],[3,4,6,9,11,13,14],[3,4,7,8,10,11,14],[3,5,6,7,8,9,13],[3,5,6,10,11,12,14]]; G[1761]:=Group([(1,4)(3,5)(8,9)(10,14)(11,12)]); # Design 1762: autom. group order 2, simple, residual B[1762]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,11,12],[1,2,4,6,10,13,14],[1,3,5,9,11,13,14],[1,4,6,7,11,12,13],[1,4,7,8,9,11,12],[1,4,8,9,10,13,14],[1,5,6,7,8,11,14],[1,5,6,8,10,12,13],[1,5,7,9,10,12,14],[2,3,7,8,12,13,14],[2,4,5,6,9,12,14],[2,4,5,7,10,11,13],[2,4,5,8,11,12,14],[2,5,7,9,10,11,13],[2,6,7,8,9,10,14],[2,6,8,9,11,12,13],[3,4,5,8,10,12,13],[3,4,6,7,9,10,12],[3,4,6,9,11,13,14],[3,4,7,8,10,11,14],[3,5,6,7,8,9,13],[3,5,6,10,11,12,14]]; G[1762]:=Group([(1,4)(3,5)(8,9)(10,14)(11,12)]); # Design 1763: autom. group order 2, simple, residual B[1763]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,10,12],[1,2,3,11,12,13,14],[1,2,4,6,10,13,14],[1,3,5,9,12,13,14],[1,4,6,7,11,12,13],[1,4,7,8,9,11,12],[1,4,8,9,10,13,14],[1,5,6,7,8,10,13],[1,5,6,8,11,12,14],[1,5,7,9,10,11,14],[2,3,7,8,11,13,14],[2,4,5,6,9,11,14],[2,4,5,7,8,12,14],[2,4,5,10,11,12,13],[2,5,7,9,10,11,13],[2,6,7,8,9,12,13],[2,6,8,9,10,12,14],[3,4,5,8,10,12,13],[3,4,6,7,9,13,14],[3,4,6,9,10,11,12],[3,4,7,8,10,11,14],[3,5,6,7,10,12,14],[3,5,6,8,9,11,13]]; G[1763]:=Group([(1,4)(3,5)(8,9)(10,14)]); # Design 1764: autom. group order 2, simple, residual B[1764]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,12,13],[1,2,4,6,11,12,14],[1,3,5,8,11,13,14],[1,4,6,7,10,11,13],[1,4,7,8,9,10,13],[1,4,8,9,11,12,14],[1,5,6,7,9,13,14],[1,5,6,9,10,12,14],[1,5,7,8,10,11,12],[2,3,7,9,10,11,14],[2,4,5,6,9,11,13],[2,4,5,7,10,12,14],[2,4,5,8,10,12,13],[2,5,7,8,11,13,14],[2,6,7,8,9,11,12],[2,6,8,9,10,13,14],[3,4,5,9,10,11,14],[3,4,6,7,8,10,14],[3,4,6,8,12,13,14],[3,4,7,9,11,12,13],[3,5,6,7,8,9,12],[3,5,6,10,11,12,13]]; G[1764]:=Group([(1,4)(3,5)(8,9)(10,13)]); # Design 1765: autom. group order 2, simple, residual B[1765]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,10,12],[1,2,3,11,12,13,14],[1,2,4,6,10,13,14],[1,3,5,8,12,13,14],[1,4,6,7,11,12,13],[1,4,7,8,9,11,12],[1,4,8,9,10,13,14],[1,5,6,7,9,10,13],[1,5,6,9,11,12,14],[1,5,7,8,10,11,14],[2,3,7,9,11,13,14],[2,4,5,6,9,11,14],[2,4,5,7,8,12,14],[2,4,5,10,11,12,13],[2,5,7,8,10,11,13],[2,6,7,8,9,12,13],[2,6,8,9,10,12,14],[3,4,5,9,10,12,13],[3,4,6,7,8,13,14],[3,4,6,8,10,11,12],[3,4,7,9,10,11,14],[3,5,6,7,10,12,14],[3,5,6,8,9,11,13]]; G[1765]:=Group([(1,4)(3,5)(8,9)(10,14)]); # Design 1766: autom. group order 2, simple B[1766]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,10,13,14],[1,3,5,8,12,13,14],[1,4,6,7,11,12,13],[1,4,7,8,9,10,14],[1,4,8,9,11,12,13],[1,5,6,7,9,10,11],[1,5,6,8,11,13,14],[1,5,7,9,10,12,14],[2,3,7,9,11,13,14],[2,4,5,6,9,12,14],[2,4,5,7,11,13,14],[2,4,5,8,10,11,12],[2,5,7,8,10,12,13],[2,6,7,8,9,11,12],[2,6,8,9,10,13,14],[3,4,5,9,10,11,13],[3,4,6,7,8,12,14],[3,4,6,9,10,12,13],[3,4,7,8,10,11,14],[3,5,6,7,8,9,13],[3,5,6,10,11,12,14]]; G[1766]:=Group([(1,4)(3,5)(8,9)(10,14)(11,12)]); # Design 1767: autom. group order 2, simple, residual B[1767]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,10,13,14],[1,3,5,8,12,13,14],[1,4,6,7,11,12,13],[1,4,7,8,9,11,12],[1,4,8,9,10,13,14],[1,5,6,7,9,10,11],[1,5,6,8,11,13,14],[1,5,7,9,10,12,14],[2,3,7,9,11,13,14],[2,4,5,6,9,12,14],[2,4,5,7,11,13,14],[2,4,5,8,10,11,12],[2,5,7,8,10,12,13],[2,6,7,8,9,10,14],[2,6,8,9,11,12,13],[3,4,5,9,10,11,13],[3,4,6,7,8,12,14],[3,4,6,9,10,12,13],[3,4,7,8,10,11,14],[3,5,6,7,8,9,13],[3,5,6,10,11,12,14]]; G[1767]:=Group([(1,4)(3,5)(8,9)(10,14)(11,12)]); # Design 1768: autom. group order 2, simple, residual B[1768]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,12,13],[1,2,4,6,11,12,14],[1,3,5,8,11,13,14],[1,4,6,7,10,11,13],[1,4,7,8,9,10,13],[1,4,8,9,11,12,14],[1,5,6,7,9,13,14],[1,5,6,8,10,12,14],[1,5,7,9,10,11,12],[2,3,7,9,10,11,14],[2,4,5,6,9,11,13],[2,4,5,7,10,12,14],[2,4,5,8,10,12,13],[2,5,7,8,11,13,14],[2,6,7,8,9,11,12],[2,6,8,9,10,13,14],[3,4,5,9,10,11,14],[3,4,6,7,8,10,14],[3,4,6,9,12,13,14],[3,4,7,8,11,12,13],[3,5,6,7,8,9,12],[3,5,6,10,11,12,13]]; G[1768]:=Group([(1,4)(3,5)(8,9)(10,13)]); # Design 1769: autom. group order 2, simple, residual B[1769]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,12,13],[1,2,4,6,11,12,14],[1,3,5,8,11,13,14],[1,4,6,7,10,13,14],[1,4,7,8,9,10,13],[1,4,8,9,11,12,14],[1,5,6,7,9,11,13],[1,5,6,8,10,12,14],[1,5,7,9,10,11,12],[2,3,7,9,10,11,14],[2,4,5,6,9,12,13],[2,4,5,7,10,11,14],[2,4,5,8,10,11,13],[2,5,7,8,12,13,14],[2,6,7,8,9,11,12],[2,6,8,9,10,13,14],[3,4,5,9,10,12,14],[3,4,6,7,8,10,12],[3,4,6,9,11,13,14],[3,4,7,8,11,12,13],[3,5,6,7,8,9,14],[3,5,6,10,11,12,13]]; G[1769]:=Group([(1,4)(3,5)(8,9)(10,13)(11,12)]); # Design 1770: autom. group order 2, simple B[1770]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,12,13],[1,2,4,6,11,12,14],[1,3,5,8,11,13,14],[1,4,6,7,10,13,14],[1,4,7,8,9,11,12],[1,4,8,9,10,13,14],[1,5,6,7,9,11,13],[1,5,6,8,10,12,14],[1,5,7,9,10,11,12],[2,3,7,9,10,11,14],[2,4,5,6,9,12,13],[2,4,5,7,10,11,14],[2,4,5,8,10,11,13],[2,5,7,8,12,13,14],[2,6,7,8,9,10,13],[2,6,8,9,11,12,14],[3,4,5,9,10,12,14],[3,4,6,7,8,10,12],[3,4,6,9,11,13,14],[3,4,7,8,11,12,13],[3,5,6,7,8,9,14],[3,5,6,10,11,12,13]]; G[1770]:=Group([(1,4)(3,5)(8,9)(10,13)(11,12)]); # Design 1771: autom. group order 2, simple B[1771]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,10,13,14],[1,3,5,8,12,13,14],[1,4,6,7,11,12,13],[1,4,7,8,9,10,14],[1,4,8,9,11,12,13],[1,5,6,7,8,11,14],[1,5,6,9,10,11,13],[1,5,7,9,10,12,14],[2,3,7,9,11,13,14],[2,4,5,6,9,12,14],[2,4,5,7,11,13,14],[2,4,5,8,10,11,12],[2,5,7,8,10,12,13],[2,6,7,8,9,11,12],[2,6,8,9,10,13,14],[3,4,5,9,10,11,13],[3,4,6,7,9,10,12],[3,4,6,8,12,13,14],[3,4,7,8,10,11,14],[3,5,6,7,8,9,13],[3,5,6,10,11,12,14]]; G[1771]:=Group([(1,4)(3,5)(8,9)(10,14)(11,12)]); # Design 1772: autom. group order 2, simple, residual B[1772]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,10,13,14],[1,3,5,8,12,13,14],[1,4,6,7,11,12,13],[1,4,7,8,9,11,12],[1,4,8,9,10,13,14],[1,5,6,7,8,11,14],[1,5,6,9,10,11,13],[1,5,7,9,10,12,14],[2,3,7,9,11,13,14],[2,4,5,6,9,12,14],[2,4,5,7,11,13,14],[2,4,5,8,10,11,12],[2,5,7,8,10,12,13],[2,6,7,8,9,10,14],[2,6,8,9,11,12,13],[3,4,5,9,10,11,13],[3,4,6,7,9,10,12],[3,4,6,8,12,13,14],[3,4,7,8,10,11,14],[3,5,6,7,8,9,13],[3,5,6,10,11,12,14]]; G[1772]:=Group([(1,4)(3,5)(8,9)(10,14)(11,12)]); # Design 1773: autom. group order 2, simple, residual B[1773]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,12,13],[1,2,4,6,11,12,14],[1,3,5,8,11,13,14],[1,4,6,7,10,13,14],[1,4,7,8,9,10,13],[1,4,8,9,11,12,14],[1,5,6,7,8,10,12],[1,5,6,9,11,13,14],[1,5,7,9,10,11,12],[2,3,7,9,10,11,14],[2,4,5,6,9,12,13],[2,4,5,7,10,11,14],[2,4,5,8,10,11,13],[2,5,7,8,12,13,14],[2,6,7,8,9,11,12],[2,6,8,9,10,13,14],[3,4,5,9,10,12,14],[3,4,6,7,9,11,13],[3,4,6,8,10,12,14],[3,4,7,8,11,12,13],[3,5,6,7,8,9,14],[3,5,6,10,11,12,13]]; G[1773]:=Group([(1,4)(3,5)(8,9)(10,13)(11,12)]); # Design 1774: autom. group order 2, simple, residual B[1774]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,12,13,14],[1,2,4,6,11,12,14],[1,3,5,8,11,13,14],[1,4,6,7,10,13,14],[1,4,7,8,9,10,13],[1,4,8,9,11,12,14],[1,5,6,7,8,12,14],[1,5,6,9,10,11,13],[1,5,7,9,10,11,12],[2,3,7,9,10,11,14],[2,4,5,6,9,10,12],[2,4,5,7,8,11,13],[2,4,5,10,11,13,14],[2,5,7,8,10,12,14],[2,6,7,8,9,13,14],[2,6,8,9,11,12,13],[3,4,5,9,12,13,14],[3,4,6,7,9,11,14],[3,4,6,8,10,12,13],[3,4,7,8,10,11,12],[3,5,6,7,11,12,13],[3,5,6,8,9,10,14]]; G[1774]:=Group([(1,4)(3,5)(8,9)(11,12)]); # Design 1775: autom. group order 2, simple, residual B[1775]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,10,12,14],[1,3,5,9,12,13,14],[1,4,6,8,9,11,13],[1,4,7,10,11,13,14],[1,4,8,9,10,12,14],[1,5,6,7,8,12,13],[1,5,6,7,9,10,11],[1,5,7,8,11,12,14],[2,3,7,8,11,12,14],[2,4,5,6,12,13,14],[2,4,5,7,9,11,14],[2,4,5,8,10,11,13],[2,5,7,9,10,12,13],[2,6,7,8,9,10,14],[2,6,8,9,11,12,13],[3,4,5,8,10,11,12],[3,4,6,7,8,13,14],[3,4,6,7,9,11,12],[3,4,7,9,10,12,13],[3,5,6,8,9,10,14],[3,5,6,10,11,13,14]]; G[1775]:=Group([(1,4)(3,5)(8,9)(10,14)(11,13)]); # Design 1776: autom. group order 2, simple, residual B[1776]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,10,12,14],[1,3,5,9,12,13,14],[1,4,6,8,9,11,13],[1,4,7,10,11,13,14],[1,4,8,9,10,12,14],[1,5,6,7,8,11,14],[1,5,6,7,8,12,13],[1,5,7,9,10,11,12],[2,3,7,8,11,12,14],[2,4,5,6,12,13,14],[2,4,5,7,9,11,14],[2,4,5,8,10,11,13],[2,5,7,9,10,12,13],[2,6,7,8,9,10,14],[2,6,8,9,11,12,13],[3,4,5,8,10,11,12],[3,4,6,7,9,10,13],[3,4,6,7,9,11,12],[3,4,7,8,12,13,14],[3,5,6,8,9,10,14],[3,5,6,10,11,13,14]]; G[1776]:=Group([(1,4)(3,5)(8,9)(10,14)(11,13)]); # Design 1777: autom. group order 2, simple, residual B[1777]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,10,12,14],[1,3,5,8,11,12,14],[1,4,6,8,9,11,13],[1,4,7,10,11,13,14],[1,4,8,9,10,12,14],[1,5,6,7,9,10,13],[1,5,6,7,9,11,12],[1,5,7,8,12,13,14],[2,3,7,9,12,13,14],[2,4,5,6,12,13,14],[2,4,5,7,9,11,14],[2,4,5,8,10,11,13],[2,5,7,8,10,11,12],[2,6,7,8,9,10,14],[2,6,8,9,11,12,13],[3,4,5,9,10,12,13],[3,4,6,7,8,11,14],[3,4,6,7,8,12,13],[3,4,7,9,10,11,12],[3,5,6,8,9,10,14],[3,5,6,10,11,13,14]]; G[1777]:=Group([(1,4)(3,5)(8,9)(10,14)(11,13)]); # Design 1778: autom. group order 2, simple, residual B[1778]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,10,12,14],[1,3,5,8,11,12,14],[1,4,6,8,9,11,13],[1,4,7,10,11,13,14],[1,4,8,9,10,12,14],[1,5,6,7,8,13,14],[1,5,6,7,9,11,12],[1,5,7,9,10,12,13],[2,3,7,9,12,13,14],[2,4,5,6,12,13,14],[2,4,5,7,9,11,14],[2,4,5,8,10,11,13],[2,5,7,8,10,11,12],[2,6,7,8,9,10,14],[2,6,8,9,11,12,13],[3,4,5,9,10,12,13],[3,4,6,7,8,12,13],[3,4,6,7,9,10,11],[3,4,7,8,11,12,14],[3,5,6,8,9,10,14],[3,5,6,10,11,13,14]]; G[1778]:=Group([(1,4)(3,5)(8,9)(10,14)(11,13)]); # Design 1779: autom. group order 2, simple, residual B[1779]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,12,13,14],[1,3,5,9,10,13,14],[1,4,6,10,11,13,14],[1,4,7,8,9,10,14],[1,4,8,9,11,12,13],[1,5,6,7,8,11,13],[1,5,6,7,9,12,14],[1,5,7,8,10,11,12],[2,3,7,8,11,13,14],[2,4,5,6,9,10,11],[2,4,5,7,10,12,13],[2,4,5,8,11,12,14],[2,5,7,9,11,13,14],[2,6,7,8,9,10,14],[2,6,8,9,10,12,13],[3,4,5,8,10,13,14],[3,4,6,7,8,12,14],[3,4,6,7,9,11,13],[3,4,7,9,10,11,12],[3,5,6,8,9,12,13],[3,5,6,10,11,12,14]]; G[1779]:=Group([(1,4)(3,5)(8,9)]); # Design 1780: autom. group order 2, simple, residual B[1780]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,12,13,14],[1,3,5,9,10,13,14],[1,4,6,10,11,13,14],[1,4,7,8,9,10,14],[1,4,8,9,11,12,13],[1,5,6,7,8,12,14],[1,5,6,7,9,11,13],[1,5,7,8,10,11,12],[2,3,7,8,11,13,14],[2,4,5,6,9,10,11],[2,4,5,7,10,12,13],[2,4,5,8,11,12,14],[2,5,7,9,11,13,14],[2,6,7,8,9,10,14],[2,6,8,9,10,12,13],[3,4,5,8,10,13,14],[3,4,6,7,8,11,13],[3,4,6,7,9,12,14],[3,4,7,9,10,11,12],[3,5,6,8,9,12,13],[3,5,6,10,11,12,14]]; G[1780]:=Group([(1,4)(3,5)(8,9)]); # Design 1781: autom. group order 2, simple, residual B[1781]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,12,13,14],[1,3,5,9,10,13,14],[1,4,6,10,11,13,14],[1,4,7,8,9,10,14],[1,4,8,9,11,12,13],[1,5,6,7,8,11,13],[1,5,6,7,8,12,14],[1,5,7,9,10,11,12],[2,3,7,8,11,13,14],[2,4,5,6,9,10,11],[2,4,5,7,10,12,13],[2,4,5,8,11,12,14],[2,5,7,9,11,13,14],[2,6,7,8,9,10,14],[2,6,8,9,10,12,13],[3,4,5,8,10,13,14],[3,4,6,7,9,11,13],[3,4,6,7,9,12,14],[3,4,7,8,10,11,12],[3,5,6,8,9,12,13],[3,5,6,10,11,12,14]]; G[1781]:=Group([(1,4)(3,5)(8,9)]); # Design 1782: autom. group order 2, simple, residual B[1782]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,12,13,14],[1,3,5,8,10,13,14],[1,4,6,10,11,13,14],[1,4,7,8,9,10,14],[1,4,8,9,11,12,13],[1,5,6,7,9,11,13],[1,5,6,7,9,12,14],[1,5,7,8,10,11,12],[2,3,7,9,11,13,14],[2,4,5,6,9,10,11],[2,4,5,7,10,12,13],[2,4,5,8,11,12,14],[2,5,7,8,11,13,14],[2,6,7,8,9,10,14],[2,6,8,9,10,12,13],[3,4,5,9,10,13,14],[3,4,6,7,8,11,13],[3,4,6,7,8,12,14],[3,4,7,9,10,11,12],[3,5,6,8,9,12,13],[3,5,6,10,11,12,14]]; G[1782]:=Group([(1,4)(3,5)(8,9)]); # Design 1783: autom. group order 2, simple, residual B[1783]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,12,13,14],[1,3,5,8,10,13,14],[1,4,6,10,11,13,14],[1,4,7,8,9,10,14],[1,4,8,9,11,12,13],[1,5,6,7,8,11,13],[1,5,6,7,9,12,14],[1,5,7,9,10,11,12],[2,3,7,9,11,13,14],[2,4,5,6,9,10,11],[2,4,5,7,10,12,13],[2,4,5,8,11,12,14],[2,5,7,8,11,13,14],[2,6,7,8,9,10,14],[2,6,8,9,10,12,13],[3,4,5,9,10,13,14],[3,4,6,7,8,12,14],[3,4,6,7,9,11,13],[3,4,7,8,10,11,12],[3,5,6,8,9,12,13],[3,5,6,10,11,12,14]]; G[1783]:=Group([(1,4)(3,5)(8,9)]); # Design 1784: autom. group order 2, simple, residual B[1784]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,12,13,14],[1,3,5,8,10,13,14],[1,4,6,10,11,13,14],[1,4,7,8,9,10,14],[1,4,8,9,11,12,13],[1,5,6,7,8,12,14],[1,5,6,7,9,11,13],[1,5,7,9,10,11,12],[2,3,7,9,11,13,14],[2,4,5,6,9,10,11],[2,4,5,7,10,12,13],[2,4,5,8,11,12,14],[2,5,7,8,11,13,14],[2,6,7,8,9,10,14],[2,6,8,9,10,12,13],[3,4,5,9,10,13,14],[3,4,6,7,8,11,13],[3,4,6,7,9,12,14],[3,4,7,8,10,11,12],[3,5,6,8,9,12,13],[3,5,6,10,11,12,14]]; G[1784]:=Group([(1,4)(3,5)(8,9)]); # Design 1785: autom. group order 2, simple B[1785]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,9,11,13],[1,2,4,6,12,13,14],[1,3,5,7,8,12,14],[1,4,6,7,9,10,11],[1,4,7,8,10,11,12],[1,4,8,9,10,13,14],[1,5,6,8,9,10,12],[1,5,6,11,12,13,14],[1,5,7,9,11,13,14],[2,3,9,10,11,12,14],[2,4,5,7,10,11,13],[2,4,5,8,11,12,13],[2,4,5,9,10,12,14],[2,5,6,7,8,10,14],[2,6,7,8,9,11,14],[2,6,7,8,9,12,13],[3,4,5,6,9,11,14],[3,4,6,7,9,12,13],[3,4,6,8,10,13,14],[3,4,7,8,11,12,14],[3,5,6,8,10,11,13],[3,5,7,9,10,12,13]]; G[1785]:=Group([(2,13)(3,14)(4,11)(6,9)(8,12)]); # Design 1786: autom. group order 2, simple, residual B[1786]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,3,8,9,11,13],[1,2,4,6,12,13,14],[1,3,5,8,10,12,14],[1,4,6,7,9,10,11],[1,4,7,8,10,11,12],[1,4,8,9,10,13,14],[1,5,6,7,8,9,12],[1,5,6,11,12,13,14],[1,5,7,9,11,13,14],[2,3,7,9,11,12,14],[2,4,5,7,10,11,13],[2,4,5,8,11,12,13],[2,4,5,9,10,12,14],[2,5,6,7,8,10,14],[2,6,7,8,9,12,13],[2,6,8,9,10,11,14],[3,4,5,6,9,11,14],[3,4,6,7,8,13,14],[3,4,6,9,10,12,13],[3,4,7,8,11,12,14],[3,5,6,8,10,11,13],[3,5,7,9,10,12,13]]; G[1786]:=Group([(2,13)(3,14)(4,11)(6,9)(8,12)]); # Design 1787: autom. group order 2, simple B[1787]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,7,12,14],[1,3,5,7,10,11,14],[1,4,6,9,10,13,14],[1,4,7,8,10,12,13],[1,4,8,9,11,12,14],[1,5,6,7,8,12,13],[1,5,6,8,9,11,14],[1,5,7,9,10,11,13],[2,3,7,8,9,13,14],[2,4,5,7,9,11,13],[2,4,5,8,10,13,14],[2,4,5,10,11,12,14],[2,5,6,8,9,10,12],[2,6,7,8,11,13,14],[2,6,7,9,10,11,12],[3,4,5,6,11,12,13],[3,4,6,7,9,10,14],[3,4,6,8,10,11,13],[3,4,7,8,9,11,12],[3,5,6,9,12,13,14],[3,5,7,8,10,12,14]]; G[1787]:=Group([(1,4)(3,5)(6,7)(8,9)(10,13)(12,14)]); # Design 1788: autom. group order 2, simple, residual B[1788]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,12,13,14],[1,3,5,9,10,12,14],[1,4,7,8,9,10,11],[1,4,7,10,12,13,14],[1,4,8,9,11,12,13],[1,5,6,7,8,11,12],[1,5,6,7,8,13,14],[1,5,6,9,10,11,14],[2,3,7,8,11,12,14],[2,4,5,6,10,11,13],[2,4,5,7,9,10,12],[2,4,5,8,11,12,14],[2,5,7,9,11,13,14],[2,6,7,8,9,10,14],[2,6,8,9,10,12,13],[3,4,5,8,10,13,14],[3,4,6,7,9,11,13],[3,4,6,7,9,12,14],[3,4,6,8,10,11,14],[3,5,6,8,9,12,13],[3,5,7,10,11,12,13]]; G[1788]:=Group([(1,4)(3,5)(8,9)(12,13)]); # Design 1789: autom. group order 2, simple, residual B[1789]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,12,13,14],[1,3,5,9,10,12,14],[1,4,7,8,9,10,11],[1,4,7,10,12,13,14],[1,4,8,9,11,12,13],[1,5,6,7,8,11,13],[1,5,6,7,8,12,14],[1,5,6,9,10,11,14],[2,3,7,8,11,12,14],[2,4,5,6,10,11,13],[2,4,5,7,9,10,12],[2,4,5,8,11,12,14],[2,5,7,9,11,13,14],[2,6,7,8,9,10,14],[2,6,8,9,10,12,13],[3,4,5,8,10,13,14],[3,4,6,7,9,11,12],[3,4,6,7,9,13,14],[3,4,6,8,10,11,14],[3,5,6,8,9,12,13],[3,5,7,10,11,12,13]]; G[1789]:=Group([(1,4)(3,5)(8,9)(12,13)]); # Design 1790: autom. group order 2, simple, residual B[1790]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,12,13,14],[1,3,5,8,10,12,14],[1,4,7,8,9,10,11],[1,4,7,10,12,13,14],[1,4,8,9,11,12,13],[1,5,6,7,9,11,12],[1,5,6,7,9,13,14],[1,5,6,8,10,11,14],[2,3,7,9,11,12,14],[2,4,5,6,10,11,13],[2,4,5,7,9,10,12],[2,4,5,8,11,12,14],[2,5,7,8,11,13,14],[2,6,7,8,9,10,14],[2,6,8,9,10,12,13],[3,4,5,9,10,13,14],[3,4,6,7,8,11,13],[3,4,6,7,8,12,14],[3,4,6,9,10,11,14],[3,5,6,8,9,12,13],[3,5,7,10,11,12,13]]; G[1790]:=Group([(1,4)(3,5)(8,9)(12,13)]); # Design 1791: autom. group order 2, simple, residual B[1791]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,12,13,14],[1,3,5,8,10,12,14],[1,4,7,8,9,10,11],[1,4,7,10,12,13,14],[1,4,8,9,11,12,13],[1,5,6,7,9,11,13],[1,5,6,7,9,12,14],[1,5,6,8,10,11,14],[2,3,7,9,11,12,14],[2,4,5,6,10,11,13],[2,4,5,7,9,10,12],[2,4,5,8,11,12,14],[2,5,7,8,11,13,14],[2,6,7,8,9,10,14],[2,6,8,9,10,12,13],[3,4,5,9,10,13,14],[3,4,6,7,8,11,12],[3,4,6,7,8,13,14],[3,4,6,9,10,11,14],[3,5,6,8,9,12,13],[3,5,7,10,11,12,13]]; G[1791]:=Group([(1,4)(3,5)(8,9)(12,13)]); # Design 1792: autom. group order 2, simple, residual B[1792]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,10,13,14],[1,3,5,9,11,13,14],[1,4,7,8,9,10,14],[1,4,7,10,11,12,14],[1,4,8,9,11,12,13],[1,5,6,7,8,11,13],[1,5,6,7,9,10,12],[1,5,6,8,12,13,14],[2,3,7,8,12,13,14],[2,4,5,6,9,12,14],[2,4,5,7,11,13,14],[2,4,5,8,10,11,12],[2,5,7,9,10,11,13],[2,6,7,8,9,11,12],[2,6,8,9,10,13,14],[3,4,5,8,10,12,13],[3,4,6,7,8,11,14],[3,4,6,7,9,12,13],[3,4,6,9,10,11,13],[3,5,6,10,11,12,14],[3,5,7,8,9,10,14]]; G[1792]:=Group([(1,4)(3,5)(8,9)(10,14)(11,12)]); # Design 1793: autom. group order 2, simple, residual B[1793]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,10,13,14],[1,3,5,9,11,13,14],[1,4,7,8,9,11,12],[1,4,7,10,11,12,14],[1,4,8,9,10,13,14],[1,5,6,7,8,11,13],[1,5,6,7,9,10,12],[1,5,6,8,12,13,14],[2,3,7,8,12,13,14],[2,4,5,6,9,12,14],[2,4,5,7,11,13,14],[2,4,5,8,10,11,12],[2,5,7,9,10,11,13],[2,6,7,8,9,10,14],[2,6,8,9,11,12,13],[3,4,5,8,10,12,13],[3,4,6,7,8,11,14],[3,4,6,7,9,12,13],[3,4,6,9,10,11,13],[3,5,6,10,11,12,14],[3,5,7,8,9,10,14]]; G[1793]:=Group([(1,4)(3,5)(8,9)(10,14)(11,12)]); # Design 1794: autom. group order 2, simple, residual B[1794]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,10,13,14],[1,3,5,9,11,13,14],[1,4,7,8,9,10,14],[1,4,7,10,11,12,14],[1,4,8,9,11,12,13],[1,5,6,7,8,11,13],[1,5,6,7,8,12,14],[1,5,6,9,10,12,13],[2,3,7,8,12,13,14],[2,4,5,6,9,12,14],[2,4,5,7,11,13,14],[2,4,5,8,10,11,12],[2,5,7,9,10,11,13],[2,6,7,8,9,11,12],[2,6,8,9,10,13,14],[3,4,5,8,10,12,13],[3,4,6,7,9,10,11],[3,4,6,7,9,12,13],[3,4,6,8,11,13,14],[3,5,6,10,11,12,14],[3,5,7,8,9,10,14]]; G[1794]:=Group([(1,4)(3,5)(8,9)(10,14)(11,12)]); # Design 1795: autom. group order 2, simple, residual B[1795]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,10,13,14],[1,3,5,9,11,13,14],[1,4,7,8,9,11,12],[1,4,7,10,11,12,14],[1,4,8,9,10,13,14],[1,5,6,7,8,11,13],[1,5,6,7,8,12,14],[1,5,6,9,10,12,13],[2,3,7,8,12,13,14],[2,4,5,6,9,12,14],[2,4,5,7,11,13,14],[2,4,5,8,10,11,12],[2,5,7,9,10,11,13],[2,6,7,8,9,10,14],[2,6,8,9,11,12,13],[3,4,5,8,10,12,13],[3,4,6,7,9,10,11],[3,4,6,7,9,12,13],[3,4,6,8,11,13,14],[3,5,6,10,11,12,14],[3,5,7,8,9,10,14]]; G[1795]:=Group([(1,4)(3,5)(8,9)(10,14)(11,12)]); # Design 1796: autom. group order 2, simple, residual B[1796]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,10,13,14],[1,3,5,8,12,13,14],[1,4,7,8,9,10,14],[1,4,7,10,11,12,14],[1,4,8,9,11,12,13],[1,5,6,7,9,10,11],[1,5,6,7,9,12,13],[1,5,6,8,11,13,14],[2,3,7,9,11,13,14],[2,4,5,6,9,12,14],[2,4,5,7,11,13,14],[2,4,5,8,10,11,12],[2,5,7,8,10,12,13],[2,6,7,8,9,11,12],[2,6,8,9,10,13,14],[3,4,5,9,10,11,13],[3,4,6,7,8,11,13],[3,4,6,7,8,12,14],[3,4,6,9,10,12,13],[3,5,6,10,11,12,14],[3,5,7,8,9,10,14]]; G[1796]:=Group([(1,4)(3,5)(8,9)(10,14)(11,12)]); # Design 1797: autom. group order 2, simple, residual B[1797]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,10,13,14],[1,3,5,8,12,13,14],[1,4,7,8,9,11,12],[1,4,7,10,11,12,14],[1,4,8,9,10,13,14],[1,5,6,7,9,10,11],[1,5,6,7,9,12,13],[1,5,6,8,11,13,14],[2,3,7,9,11,13,14],[2,4,5,6,9,12,14],[2,4,5,7,11,13,14],[2,4,5,8,10,11,12],[2,5,7,8,10,12,13],[2,6,7,8,9,10,14],[2,6,8,9,11,12,13],[3,4,5,9,10,11,13],[3,4,6,7,8,11,13],[3,4,6,7,8,12,14],[3,4,6,9,10,12,13],[3,5,6,10,11,12,14],[3,5,7,8,9,10,14]]; G[1797]:=Group([(1,4)(3,5)(8,9)(10,14)(11,12)]); # Design 1798: autom. group order 2, simple, residual B[1798]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,10,13,14],[1,3,5,8,12,13,14],[1,4,7,8,9,10,14],[1,4,7,10,11,12,14],[1,4,8,9,11,12,13],[1,5,6,7,8,11,14],[1,5,6,7,9,12,13],[1,5,6,9,10,11,13],[2,3,7,9,11,13,14],[2,4,5,6,9,12,14],[2,4,5,7,11,13,14],[2,4,5,8,10,11,12],[2,5,7,8,10,12,13],[2,6,7,8,9,11,12],[2,6,8,9,10,13,14],[3,4,5,9,10,11,13],[3,4,6,7,8,11,13],[3,4,6,7,9,10,12],[3,4,6,8,12,13,14],[3,5,6,10,11,12,14],[3,5,7,8,9,10,14]]; G[1798]:=Group([(1,4)(3,5)(8,9)(10,14)(11,12)]); # Design 1799: autom. group order 2, simple, residual B[1799]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,10,13,14],[1,3,5,8,12,13,14],[1,4,7,8,9,11,12],[1,4,7,10,11,12,14],[1,4,8,9,10,13,14],[1,5,6,7,8,11,14],[1,5,6,7,9,12,13],[1,5,6,9,10,11,13],[2,3,7,9,11,13,14],[2,4,5,6,9,12,14],[2,4,5,7,11,13,14],[2,4,5,8,10,11,12],[2,5,7,8,10,12,13],[2,6,7,8,9,10,14],[2,6,8,9,11,12,13],[3,4,5,9,10,11,13],[3,4,6,7,8,11,13],[3,4,6,7,9,10,12],[3,4,6,8,12,13,14],[3,5,6,10,11,12,14],[3,5,7,8,9,10,14]]; G[1799]:=Group([(1,4)(3,5)(8,9)(10,14)(11,12)]); # Design 1800: autom. group order 2, simple, residual B[1800]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,10,12,13,14],[1,3,5,6,11,12,14],[1,4,6,7,9,10,14],[1,4,6,7,9,12,13],[1,4,8,9,10,11,14],[1,5,6,8,9,11,13],[1,5,7,8,10,11,12],[1,5,7,8,12,13,14],[2,3,7,8,9,12,14],[2,4,5,6,8,12,14],[2,4,5,7,11,13,14],[2,4,5,9,10,11,12],[2,5,6,8,9,10,13],[2,6,7,8,10,11,14],[2,6,7,9,11,12,13],[3,4,5,7,10,11,13],[3,4,6,8,10,12,13],[3,4,6,8,11,13,14],[3,4,7,8,9,11,12],[3,5,6,7,9,10,14],[3,5,9,10,12,13,14]]; G[1800]:=Group([(1,4)(3,5)(6,7)(10,14)(12,13)]); # Design 1801: autom. group order 2, simple, residual B[1801]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,10,12,13,14],[1,3,5,6,11,12,14],[1,4,6,7,9,10,14],[1,4,6,7,9,12,13],[1,4,8,9,11,12,13],[1,5,6,8,10,13,14],[1,5,7,8,9,11,14],[1,5,7,8,10,11,12],[2,3,7,8,9,12,14],[2,4,5,6,8,12,14],[2,4,5,7,11,13,14],[2,4,5,9,10,11,12],[2,5,6,8,9,10,13],[2,6,7,8,11,12,13],[2,6,7,9,10,11,14],[3,4,5,7,10,11,13],[3,4,6,8,9,10,11],[3,4,6,8,11,13,14],[3,4,7,8,10,12,14],[3,5,6,7,9,12,13],[3,5,9,10,12,13,14]]; G[1801]:=Group([(1,4)(3,5)(6,7)(10,14)(12,13)]); # Design 1802: autom. group order 2, simple, residual B[1802]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,10,12,13,14],[1,3,5,6,11,12,14],[1,4,6,7,8,9,11],[1,4,6,7,9,10,14],[1,4,8,9,11,12,13],[1,5,6,9,10,13,14],[1,5,7,8,10,11,12],[1,5,7,8,12,13,14],[2,3,7,8,9,12,14],[2,4,5,6,8,12,14],[2,4,5,7,11,13,14],[2,4,5,9,10,11,12],[2,5,6,8,9,10,13],[2,6,7,8,10,11,14],[2,6,7,9,11,12,13],[3,4,5,7,10,11,13],[3,4,6,8,10,12,13],[3,4,6,8,11,13,14],[3,4,7,9,10,12,14],[3,5,6,7,9,12,13],[3,5,8,9,10,11,14]]; G[1802]:=Group([(1,4)(3,5)(6,7)(10,14)(12,13)]); # Design 1803: autom. group order 2, simple B[1803]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,10,12,13,14],[1,3,5,6,11,12,14],[1,4,6,7,8,9,11],[1,4,6,7,9,12,13],[1,4,8,9,10,11,14],[1,5,6,9,10,13,14],[1,5,7,8,10,11,12],[1,5,7,8,12,13,14],[2,3,7,8,9,12,14],[2,4,5,6,8,12,14],[2,4,5,7,11,13,14],[2,4,5,9,10,11,12],[2,5,6,8,9,10,13],[2,6,7,8,10,11,14],[2,6,7,9,11,12,13],[3,4,5,7,10,11,13],[3,4,6,8,10,12,13],[3,4,6,8,11,13,14],[3,4,7,9,10,12,14],[3,5,6,7,9,10,14],[3,5,8,9,11,12,13]]; G[1803]:=Group([(1,4)(3,5)(6,7)(10,14)(12,13)]); # Design 1804: autom. group order 2, simple B[1804]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,10,12,13,14],[1,3,5,6,11,12,14],[1,4,6,7,8,10,14],[1,4,6,7,9,12,13],[1,4,8,9,11,12,13],[1,5,6,9,10,13,14],[1,5,7,8,9,11,14],[1,5,7,8,10,11,12],[2,3,7,8,9,12,14],[2,4,5,6,8,12,14],[2,4,5,7,11,13,14],[2,4,5,9,10,11,12],[2,5,6,8,9,10,13],[2,6,7,8,11,12,13],[2,6,7,9,10,11,14],[3,4,5,7,10,11,13],[3,4,6,8,9,10,11],[3,4,6,8,11,13,14],[3,4,7,9,10,12,14],[3,5,6,7,9,12,13],[3,5,8,10,12,13,14]]; G[1804]:=Group([(1,4)(3,5)(6,7)(10,14)(12,13)]); # Design 1805: autom. group order 2, simple B[1805]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,10,12,13,14],[1,3,5,6,11,12,14],[1,4,6,7,8,12,13],[1,4,6,7,9,10,14],[1,4,8,9,11,12,13],[1,5,6,9,10,13,14],[1,5,7,8,9,11,14],[1,5,7,8,10,11,12],[2,3,7,8,9,12,14],[2,4,5,6,8,12,14],[2,4,5,7,11,13,14],[2,4,5,9,10,11,12],[2,5,6,8,9,10,13],[2,6,7,8,10,11,14],[2,6,7,9,11,12,13],[3,4,5,7,10,11,13],[3,4,6,8,9,10,11],[3,4,6,8,11,13,14],[3,4,7,9,10,12,14],[3,5,6,7,9,12,13],[3,5,8,10,12,13,14]]; G[1805]:=Group([(1,4)(3,5)(6,7)(10,14)(12,13)]); # Design 1806: autom. group order 2, simple B[1806]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,10,12,13,14],[1,3,5,6,11,12,14],[1,4,6,7,8,9,11],[1,4,6,7,9,10,14],[1,4,8,9,11,12,13],[1,5,6,8,10,13,14],[1,5,7,8,10,11,12],[1,5,7,9,12,13,14],[2,3,7,8,9,12,14],[2,4,5,6,8,12,14],[2,4,5,7,11,13,14],[2,4,5,9,10,11,12],[2,5,6,8,9,10,13],[2,6,7,8,11,12,13],[2,6,7,9,10,11,14],[3,4,5,7,10,11,13],[3,4,6,8,11,13,14],[3,4,6,9,10,12,13],[3,4,7,8,10,12,14],[3,5,6,7,9,12,13],[3,5,8,9,10,11,14]]; G[1806]:=Group([(1,4)(3,5)(6,7)(10,14)(12,13)]); # Design 1807: autom. group order 2, simple, residual B[1807]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,10,12,13,14],[1,3,5,6,11,12,14],[1,4,6,7,8,9,11],[1,4,6,7,9,12,13],[1,4,8,9,10,11,14],[1,5,6,8,10,13,14],[1,5,7,8,10,11,12],[1,5,7,9,12,13,14],[2,3,7,8,9,12,14],[2,4,5,6,8,12,14],[2,4,5,7,11,13,14],[2,4,5,9,10,11,12],[2,5,6,8,9,10,13],[2,6,7,8,11,12,13],[2,6,7,9,10,11,14],[3,4,5,7,10,11,13],[3,4,6,8,11,13,14],[3,4,6,9,10,12,13],[3,4,7,8,10,12,14],[3,5,6,7,9,10,14],[3,5,8,9,11,12,13]]; G[1807]:=Group([(1,4)(3,5)(6,7)(10,14)(12,13)]); # Design 1808: autom. group order 2, simple B[1808]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,10,12,13,14],[1,3,5,6,11,12,14],[1,4,6,7,8,10,14],[1,4,6,7,9,12,13],[1,4,8,9,10,11,14],[1,5,6,8,9,11,13],[1,5,7,8,10,11,12],[1,5,7,9,12,13,14],[2,3,7,8,9,12,14],[2,4,5,6,8,12,14],[2,4,5,7,11,13,14],[2,4,5,9,10,11,12],[2,5,6,8,9,10,13],[2,6,7,8,11,12,13],[2,6,7,9,10,11,14],[3,4,5,7,10,11,13],[3,4,6,8,11,13,14],[3,4,6,9,10,12,13],[3,4,7,8,9,11,12],[3,5,6,7,9,10,14],[3,5,8,10,12,13,14]]; G[1808]:=Group([(1,4)(3,5)(6,7)(10,14)(12,13)]); # Design 1809: autom. group order 2, simple B[1809]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,10,12,13,14],[1,3,5,6,11,12,14],[1,4,6,7,8,12,13],[1,4,6,7,9,10,14],[1,4,8,9,10,11,14],[1,5,6,8,9,11,13],[1,5,7,8,10,11,12],[1,5,7,9,12,13,14],[2,3,7,8,9,12,14],[2,4,5,6,8,12,14],[2,4,5,7,11,13,14],[2,4,5,9,10,11,12],[2,5,6,8,9,10,13],[2,6,7,8,10,11,14],[2,6,7,9,11,12,13],[3,4,5,7,10,11,13],[3,4,6,8,11,13,14],[3,4,6,9,10,12,13],[3,4,7,8,9,11,12],[3,5,6,7,9,10,14],[3,5,8,10,12,13,14]]; G[1809]:=Group([(1,4)(3,5)(6,7)(10,14)(12,13)]); # Design 1810: autom. group order 2, simple, residual B[1810]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,10,11,13,14],[1,3,5,6,12,13,14],[1,4,6,7,9,10,14],[1,4,6,7,9,11,13],[1,4,8,9,10,12,14],[1,5,6,8,9,12,13],[1,5,7,8,10,11,13],[1,5,7,8,11,12,14],[2,3,7,8,9,13,14],[2,4,5,6,11,12,14],[2,4,5,7,8,13,14],[2,4,5,9,10,12,13],[2,5,6,8,9,10,11],[2,6,7,8,10,12,14],[2,6,7,9,11,12,13],[3,4,5,7,10,11,12],[3,4,6,8,10,12,13],[3,4,6,8,11,13,14],[3,4,7,8,9,11,12],[3,5,6,7,9,10,14],[3,5,9,10,11,13,14]]; G[1810]:=Group([(1,4)(3,5)(6,7)(10,14)(11,13)]); # Design 1811: autom. group order 2, simple, residual B[1811]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,10,11,13,14],[1,3,5,6,12,13,14],[1,4,6,7,9,10,14],[1,4,6,7,9,11,13],[1,4,8,9,11,12,13],[1,5,6,8,10,13,14],[1,5,7,8,9,10,12],[1,5,7,8,11,12,14],[2,3,7,8,9,13,14],[2,4,5,6,11,12,14],[2,4,5,7,8,13,14],[2,4,5,9,10,12,13],[2,5,6,8,9,10,11],[2,6,7,8,11,12,13],[2,6,7,9,10,12,14],[3,4,5,7,10,11,12],[3,4,6,8,9,12,14],[3,4,6,8,10,12,13],[3,4,7,8,10,11,14],[3,5,6,7,9,11,13],[3,5,9,10,11,13,14]]; G[1811]:=Group([(1,4)(3,5)(6,7)(10,14)(11,13)]); # Design 1812: autom. group order 2, simple, residual B[1812]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,10,11,13,14],[1,3,5,6,12,13,14],[1,4,6,7,8,9,12],[1,4,6,7,9,10,14],[1,4,8,9,11,12,13],[1,5,6,9,10,13,14],[1,5,7,8,10,11,13],[1,5,7,8,11,12,14],[2,3,7,8,9,13,14],[2,4,5,6,11,12,14],[2,4,5,7,8,13,14],[2,4,5,9,10,12,13],[2,5,6,8,9,10,11],[2,6,7,8,10,12,14],[2,6,7,9,11,12,13],[3,4,5,7,10,11,12],[3,4,6,8,10,12,13],[3,4,6,8,11,13,14],[3,4,7,9,10,11,14],[3,5,6,7,9,11,13],[3,5,8,9,10,12,14]]; G[1812]:=Group([(1,4)(3,5)(6,7)(10,14)(11,13)]); # Design 1813: autom. group order 2, simple B[1813]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,10,11,13,14],[1,3,5,6,12,13,14],[1,4,6,7,8,9,12],[1,4,6,7,9,11,13],[1,4,8,9,10,12,14],[1,5,6,9,10,13,14],[1,5,7,8,10,11,13],[1,5,7,8,11,12,14],[2,3,7,8,9,13,14],[2,4,5,6,11,12,14],[2,4,5,7,8,13,14],[2,4,5,9,10,12,13],[2,5,6,8,9,10,11],[2,6,7,8,10,12,14],[2,6,7,9,11,12,13],[3,4,5,7,10,11,12],[3,4,6,8,10,12,13],[3,4,6,8,11,13,14],[3,4,7,9,10,11,14],[3,5,6,7,9,10,14],[3,5,8,9,11,12,13]]; G[1813]:=Group([(1,4)(3,5)(6,7)(10,14)(11,13)]); # Design 1814: autom. group order 2, simple B[1814]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,10,11,13,14],[1,3,5,6,12,13,14],[1,4,6,7,8,10,14],[1,4,6,7,9,11,13],[1,4,8,9,11,12,13],[1,5,6,9,10,13,14],[1,5,7,8,9,10,12],[1,5,7,8,11,12,14],[2,3,7,8,9,13,14],[2,4,5,6,11,12,14],[2,4,5,7,8,13,14],[2,4,5,9,10,12,13],[2,5,6,8,9,10,11],[2,6,7,8,11,12,13],[2,6,7,9,10,12,14],[3,4,5,7,10,11,12],[3,4,6,8,9,12,14],[3,4,6,8,10,12,13],[3,4,7,9,10,11,14],[3,5,6,7,9,11,13],[3,5,8,10,11,13,14]]; G[1814]:=Group([(1,4)(3,5)(6,7)(10,14)(11,13)]); # Design 1815: autom. group order 2, simple B[1815]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,10,11,13,14],[1,3,5,6,12,13,14],[1,4,6,7,8,11,13],[1,4,6,7,9,10,14],[1,4,8,9,11,12,13],[1,5,6,9,10,13,14],[1,5,7,8,9,10,12],[1,5,7,8,11,12,14],[2,3,7,8,9,13,14],[2,4,5,6,11,12,14],[2,4,5,7,8,13,14],[2,4,5,9,10,12,13],[2,5,6,8,9,10,11],[2,6,7,8,10,12,14],[2,6,7,9,11,12,13],[3,4,5,7,10,11,12],[3,4,6,8,9,12,14],[3,4,6,8,10,12,13],[3,4,7,9,10,11,14],[3,5,6,7,9,11,13],[3,5,8,10,11,13,14]]; G[1815]:=Group([(1,4)(3,5)(6,7)(10,14)(11,13)]); # Design 1816: autom. group order 2, simple, residual B[1816]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,10,11,13,14],[1,3,5,6,9,13,14],[1,4,6,7,8,9,12],[1,4,6,7,10,12,14],[1,4,8,9,10,13,14],[1,5,6,8,11,12,13],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,7,8,12,13,14],[2,4,5,6,12,13,14],[2,4,5,7,9,11,14],[2,4,5,8,10,11,12],[2,5,6,9,10,12,13],[2,6,7,8,9,10,14],[2,6,7,8,9,11,13],[3,4,5,7,8,10,13],[3,4,6,8,11,13,14],[3,4,6,9,10,11,12],[3,4,7,9,11,12,13],[3,5,6,7,10,11,14],[3,5,8,9,10,12,14]]; G[1816]:=Group([(1,4)(3,5)(6,7)(8,9)(10,14)]); # Design 1817: autom. group order 2, simple, residual B[1817]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,10,11,13,14],[1,3,5,6,9,13,14],[1,4,6,7,8,9,12],[1,4,6,7,10,12,14],[1,4,8,9,10,13,14],[1,5,6,8,11,12,13],[1,5,7,8,11,13,14],[1,5,7,9,10,11,12],[2,3,7,8,12,13,14],[2,4,5,6,12,13,14],[2,4,5,7,9,11,14],[2,4,5,8,10,11,12],[2,5,6,9,10,12,13],[2,6,7,8,9,10,14],[2,6,7,8,9,11,13],[3,4,5,7,8,10,13],[3,4,6,8,11,12,14],[3,4,6,9,10,11,13],[3,4,7,9,11,12,13],[3,5,6,7,10,11,14],[3,5,8,9,10,12,14]]; G[1817]:=Group([(1,4)(3,5)(6,7)(8,9)(10,14)]); # Design 1818: autom. group order 2, simple B[1818]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,10,12,13,14],[1,3,5,6,9,13,14],[1,4,6,7,8,9,12],[1,4,6,7,10,11,14],[1,4,8,9,10,13,14],[1,5,6,8,11,12,13],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,7,8,11,13,14],[2,4,5,6,12,13,14],[2,4,5,7,9,11,14],[2,4,5,8,10,11,12],[2,5,6,9,10,11,13],[2,6,7,8,9,10,14],[2,6,7,8,9,12,13],[3,4,5,7,8,10,13],[3,4,6,8,11,13,14],[3,4,6,9,10,11,12],[3,4,7,9,11,12,13],[3,5,6,7,10,12,14],[3,5,8,9,10,12,14]]; G[1818]:=Group([(1,4)(3,5)(6,7)(8,9)(10,14)]); # Design 1819: autom. group order 2, simple B[1819]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,10,12,13,14],[1,3,5,6,9,13,14],[1,4,6,7,8,9,12],[1,4,6,7,10,11,14],[1,4,8,9,10,13,14],[1,5,6,8,11,12,13],[1,5,7,8,11,13,14],[1,5,7,9,10,11,12],[2,3,7,8,11,13,14],[2,4,5,6,12,13,14],[2,4,5,7,9,11,14],[2,4,5,8,10,11,12],[2,5,6,9,10,11,13],[2,6,7,8,9,10,14],[2,6,7,8,9,12,13],[3,4,5,7,8,10,13],[3,4,6,8,11,12,14],[3,4,6,9,10,11,13],[3,4,7,9,11,12,13],[3,5,6,7,10,12,14],[3,5,8,9,10,12,14]]; G[1819]:=Group([(1,4)(3,5)(6,7)(8,9)(10,14)]); # Design 1820: autom. group order 2, simple, residual B[1820]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,10,11,13,14],[1,3,5,6,9,13,14],[1,4,6,7,8,9,12],[1,4,6,7,10,12,14],[1,4,8,9,11,12,13],[1,5,6,8,10,13,14],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,7,8,12,13,14],[2,4,5,6,11,12,14],[2,4,5,7,9,13,14],[2,4,5,8,10,12,13],[2,5,6,9,10,11,12],[2,6,7,8,9,10,14],[2,6,7,8,9,11,13],[3,4,5,7,8,10,11],[3,4,6,8,11,13,14],[3,4,6,9,10,12,13],[3,4,7,9,10,11,14],[3,5,6,7,11,12,13],[3,5,8,9,10,12,14]]; G[1820]:=Group([(1,4)(3,5)(6,7)(8,9)(10,14)(11,13)]); # Design 1821: autom. group order 2, simple, residual B[1821]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,10,11,13,14],[1,3,5,6,9,13,14],[1,4,6,7,8,9,12],[1,4,6,7,11,13,14],[1,4,8,9,10,12,14],[1,5,6,8,10,12,13],[1,5,7,8,10,11,14],[1,5,7,9,11,12,13],[2,3,7,8,12,13,14],[2,4,5,6,10,11,12],[2,4,5,7,9,10,13],[2,4,5,8,12,13,14],[2,5,6,9,11,12,14],[2,6,7,8,9,10,14],[2,6,7,8,9,11,13],[3,4,5,7,8,11,14],[3,4,6,8,11,12,13],[3,4,6,9,10,13,14],[3,4,7,9,10,11,12],[3,5,6,7,10,12,14],[3,5,8,9,10,11,13]]; G[1821]:=Group([(1,4)(3,5)(6,7)(8,9)(11,13)]); # Design 1822: autom. group order 2, simple, residual B[1822]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,10,11,13,14],[1,3,5,6,9,13,14],[1,4,6,7,8,9,12],[1,4,6,7,11,13,14],[1,4,8,9,10,12,14],[1,5,6,8,10,13,14],[1,5,7,8,10,11,12],[1,5,7,9,11,12,13],[2,3,7,8,12,13,14],[2,4,5,6,10,11,12],[2,4,5,7,9,10,13],[2,4,5,8,12,13,14],[2,5,6,9,11,12,14],[2,6,7,8,9,10,14],[2,6,7,8,9,11,13],[3,4,5,7,8,11,14],[3,4,6,8,11,12,13],[3,4,6,9,10,12,13],[3,4,7,9,10,11,14],[3,5,6,7,10,12,14],[3,5,8,9,10,11,13]]; G[1822]:=Group([(1,4)(3,5)(6,7)(8,9)(11,13)]); # Design 1823: autom. group order 2, simple, residual B[1823]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,10,11,13,14],[1,3,5,6,9,13,14],[1,4,6,7,8,9,12],[1,4,6,7,11,12,13],[1,4,8,9,10,12,14],[1,5,6,8,10,13,14],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,7,8,12,13,14],[2,4,5,6,11,12,14],[2,4,5,7,9,13,14],[2,4,5,8,10,12,13],[2,5,6,9,10,11,12],[2,6,7,8,9,10,14],[2,6,7,8,9,11,13],[3,4,5,7,8,10,11],[3,4,6,8,11,13,14],[3,4,6,9,10,12,13],[3,4,7,9,10,11,14],[3,5,6,7,10,12,14],[3,5,8,9,11,12,13]]; G[1823]:=Group([(1,4)(3,5)(6,7)(8,9)(10,14)(11,13)]); # Design 1824: autom. group order 2, simple, residual B[1824]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,10,11,13,14],[1,3,5,6,9,13,14],[1,4,6,7,8,9,12],[1,4,6,7,11,12,13],[1,4,8,9,10,13,14],[1,5,6,8,10,12,14],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,7,8,12,13,14],[2,4,5,6,12,13,14],[2,4,5,7,9,11,14],[2,4,5,8,10,11,12],[2,5,6,9,10,12,13],[2,6,7,8,9,10,14],[2,6,7,8,9,11,13],[3,4,5,7,8,10,13],[3,4,6,8,11,13,14],[3,4,6,9,10,11,12],[3,4,7,9,10,12,14],[3,5,6,7,10,11,14],[3,5,8,9,11,12,13]]; G[1824]:=Group([(1,4)(3,5)(6,7)(8,9)(10,14)]); # Design 1825: autom. group order 2, simple, residual B[1825]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,10,11,13,14],[1,3,5,6,9,13,14],[1,4,6,7,8,9,12],[1,4,6,7,11,12,13],[1,4,8,9,10,13,14],[1,5,6,8,10,12,14],[1,5,7,8,11,13,14],[1,5,7,9,10,11,12],[2,3,7,8,12,13,14],[2,4,5,6,12,13,14],[2,4,5,7,9,11,14],[2,4,5,8,10,11,12],[2,5,6,9,10,12,13],[2,6,7,8,9,10,14],[2,6,7,8,9,11,13],[3,4,5,7,8,10,13],[3,4,6,8,11,12,14],[3,4,6,9,10,11,13],[3,4,7,9,10,12,14],[3,5,6,7,10,11,14],[3,5,8,9,11,12,13]]; G[1825]:=Group([(1,4)(3,5)(6,7)(8,9)(10,14)]); # Design 1826: autom. group order 2, simple, residual B[1826]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,10,11,13,14],[1,3,5,6,9,13,14],[1,4,6,7,8,9,12],[1,4,6,7,11,13,14],[1,4,8,9,11,12,13],[1,5,6,8,10,12,13],[1,5,7,8,10,11,14],[1,5,7,9,10,12,14],[2,3,7,8,12,13,14],[2,4,5,6,10,11,12],[2,4,5,7,9,10,13],[2,4,5,8,12,13,14],[2,5,6,9,11,12,14],[2,6,7,8,9,10,14],[2,6,7,8,9,11,13],[3,4,5,7,8,11,14],[3,4,6,8,10,12,14],[3,4,6,9,10,13,14],[3,4,7,9,10,11,12],[3,5,6,7,11,12,13],[3,5,8,9,10,11,13]]; G[1826]:=Group([(1,4)(3,5)(6,7)(8,9)(11,13)]); # Design 1827: autom. group order 2, simple, residual B[1827]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,10,11,13,14],[1,3,5,6,9,13,14],[1,4,6,7,8,9,12],[1,4,6,7,11,13,14],[1,4,8,9,11,12,13],[1,5,6,8,10,13,14],[1,5,7,8,10,11,12],[1,5,7,9,10,12,14],[2,3,7,8,12,13,14],[2,4,5,6,10,11,12],[2,4,5,7,9,10,13],[2,4,5,8,12,13,14],[2,5,6,9,11,12,14],[2,6,7,8,9,10,14],[2,6,7,8,9,11,13],[3,4,5,7,8,11,14],[3,4,6,8,10,12,14],[3,4,6,9,10,12,13],[3,4,7,9,10,11,14],[3,5,6,7,11,12,13],[3,5,8,9,10,11,13]]; G[1827]:=Group([(1,4)(3,5)(6,7)(8,9)(11,13)]); # Design 1828: autom. group order 2, simple B[1828]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,11,12,13,14],[1,3,5,6,9,13,14],[1,4,6,7,8,9,12],[1,4,6,7,11,13,14],[1,4,8,9,10,11,13],[1,5,6,8,10,12,13],[1,5,7,8,10,11,14],[1,5,7,9,10,12,14],[2,3,7,8,10,13,14],[2,4,5,6,10,11,12],[2,4,5,7,9,10,13],[2,4,5,8,12,13,14],[2,5,6,9,10,11,14],[2,6,7,8,9,11,13],[2,6,7,8,9,12,14],[3,4,5,7,8,11,14],[3,4,6,8,10,12,14],[3,4,6,9,10,13,14],[3,4,7,9,10,11,12],[3,5,6,7,11,12,13],[3,5,8,9,11,12,13]]; G[1828]:=Group([(1,4)(3,5)(6,7)(8,9)(11,13)]); # Design 1829: autom. group order 2, simple B[1829]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,11,12,13,14],[1,3,5,6,9,13,14],[1,4,6,7,8,9,12],[1,4,6,7,11,13,14],[1,4,8,9,10,11,13],[1,5,6,8,10,13,14],[1,5,7,8,10,11,12],[1,5,7,9,10,12,14],[2,3,7,8,10,13,14],[2,4,5,6,10,11,12],[2,4,5,7,9,10,13],[2,4,5,8,12,13,14],[2,5,6,9,10,11,14],[2,6,7,8,9,11,13],[2,6,7,8,9,12,14],[3,4,5,7,8,11,14],[3,4,6,8,10,12,14],[3,4,6,9,10,12,13],[3,4,7,9,10,11,14],[3,5,6,7,11,12,13],[3,5,8,9,11,12,13]]; G[1829]:=Group([(1,4)(3,5)(6,7)(8,9)(11,13)]); # Design 1830: autom. group order 2, simple B[1830]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,10,11,13,14],[1,3,5,6,12,13,14],[1,4,6,7,8,9,12],[1,4,6,7,9,10,14],[1,4,8,9,11,12,13],[1,5,6,8,10,13,14],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,7,8,9,13,14],[2,4,5,6,11,12,14],[2,4,5,7,8,13,14],[2,4,5,9,10,12,13],[2,5,6,8,9,10,11],[2,6,7,8,11,12,13],[2,6,7,9,10,12,14],[3,4,5,7,10,11,12],[3,4,6,8,10,12,13],[3,4,6,9,11,13,14],[3,4,7,8,10,11,14],[3,5,6,7,9,11,13],[3,5,8,9,10,12,14]]; G[1830]:=Group([(1,4)(3,5)(6,7)(10,14)(11,13)]); # Design 1831: autom. group order 2, simple, residual B[1831]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,10,11,13,14],[1,3,5,6,12,13,14],[1,4,6,7,8,9,12],[1,4,6,7,9,11,13],[1,4,8,9,10,12,14],[1,5,6,8,10,13,14],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,7,8,9,13,14],[2,4,5,6,11,12,14],[2,4,5,7,8,13,14],[2,4,5,9,10,12,13],[2,5,6,8,9,10,11],[2,6,7,8,11,12,13],[2,6,7,9,10,12,14],[3,4,5,7,10,11,12],[3,4,6,8,10,12,13],[3,4,6,9,11,13,14],[3,4,7,8,10,11,14],[3,5,6,7,9,10,14],[3,5,8,9,11,12,13]]; G[1831]:=Group([(1,4)(3,5)(6,7)(10,14)(11,13)]); # Design 1832: autom. group order 2, simple B[1832]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,10,11,13,14],[1,3,5,6,12,13,14],[1,4,6,7,8,10,14],[1,4,6,7,9,11,13],[1,4,8,9,10,12,14],[1,5,6,8,9,12,13],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,7,8,9,13,14],[2,4,5,6,11,12,14],[2,4,5,7,8,13,14],[2,4,5,9,10,12,13],[2,5,6,8,9,10,11],[2,6,7,8,11,12,13],[2,6,7,9,10,12,14],[3,4,5,7,10,11,12],[3,4,6,8,10,12,13],[3,4,6,9,11,13,14],[3,4,7,8,9,11,12],[3,5,6,7,9,10,14],[3,5,8,10,11,13,14]]; G[1832]:=Group([(1,4)(3,5)(6,7)(10,14)(11,13)]); # Design 1833: autom. group order 2, simple B[1833]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,10,11,13,14],[1,3,5,6,12,13,14],[1,4,6,7,8,11,13],[1,4,6,7,9,10,14],[1,4,8,9,10,12,14],[1,5,6,8,9,12,13],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,7,8,9,13,14],[2,4,5,6,11,12,14],[2,4,5,7,8,13,14],[2,4,5,9,10,12,13],[2,5,6,8,9,10,11],[2,6,7,8,10,12,14],[2,6,7,9,11,12,13],[3,4,5,7,10,11,12],[3,4,6,8,10,12,13],[3,4,6,9,11,13,14],[3,4,7,8,9,11,12],[3,5,6,7,9,10,14],[3,5,8,10,11,13,14]]; G[1833]:=Group([(1,4)(3,5)(6,7)(10,14)(11,13)]); # Design 1834: autom. group order 2, simple B[1834]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,11,13,14],[1,3,5,8,12,13,14],[1,4,6,7,8,13,14],[1,4,6,9,10,11,12],[1,4,7,9,10,12,14],[1,5,6,7,9,12,13],[1,5,7,8,10,11,14],[1,5,8,9,10,11,13],[2,3,7,9,10,13,14],[2,4,5,8,9,12,14],[2,4,5,10,11,12,13],[2,4,7,8,11,12,13],[2,5,6,7,8,10,12],[2,5,6,7,9,11,14],[2,6,8,9,10,13,14],[3,4,5,6,9,10,13],[3,4,5,7,10,11,14],[3,4,6,8,10,12,14],[3,4,7,8,9,11,13],[3,5,6,11,12,13,14],[3,6,7,8,9,11,12]]; G[1834]:=Group([(1,14)(3,9)(4,13)(5,10)(7,8)]); # Design 1835: autom. group order 2, simple B[1835]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,12,14],[1,2,4,6,10,13,14],[1,3,5,8,11,13,14],[1,4,6,7,11,12,14],[1,4,6,8,9,12,13],[1,4,7,8,9,11,14],[1,5,6,9,10,13,14],[1,5,7,8,10,11,12],[1,5,7,9,10,12,13],[2,3,7,9,12,13,14],[2,4,5,7,10,12,14],[2,4,5,9,11,12,13],[2,4,8,10,11,13,14],[2,5,6,7,8,9,14],[2,5,6,8,11,12,13],[2,6,7,8,9,10,11],[3,4,5,6,7,11,13],[3,4,5,8,10,12,14],[3,4,6,8,9,10,12],[3,4,7,9,10,11,13],[3,5,6,9,10,11,14],[3,6,7,8,12,13,14]]; G[1835]:=Group([(1,13)(2,7)(4,12)(5,14)(6,9)]); # Design 1836: autom. group order 2, simple, residual B[1836]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,12,14],[1,2,4,6,8,13,14],[1,3,5,10,11,13,14],[1,4,6,7,10,12,14],[1,4,6,9,11,12,13],[1,4,7,8,9,11,14],[1,5,6,9,10,13,14],[1,5,7,8,9,12,13],[1,5,7,8,10,11,12],[2,3,7,9,12,13,14],[2,4,5,7,11,12,14],[2,4,5,9,10,12,13],[2,4,8,10,11,13,14],[2,5,6,7,9,10,14],[2,5,6,8,11,12,13],[2,6,7,8,9,10,11],[3,4,5,6,7,11,13],[3,4,5,8,10,12,14],[3,4,6,8,9,10,12],[3,4,7,9,10,11,13],[3,5,6,8,9,11,14],[3,6,7,8,12,13,14]]; G[1836]:=Group([(1,13)(2,7)(4,12)(5,14)(6,9)]); # Design 1837: autom. group order 2, simple, residual B[1837]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,10,13,14],[1,3,5,8,12,13,14],[1,4,6,7,11,12,14],[1,4,6,8,9,11,13],[1,4,7,8,9,12,14],[1,5,6,9,10,13,14],[1,5,7,8,10,11,12],[1,5,7,9,10,11,13],[2,3,7,9,11,13,14],[2,4,5,7,10,11,14],[2,4,5,9,11,12,13],[2,4,8,10,12,13,14],[2,5,6,7,8,9,14],[2,5,6,8,11,12,13],[2,6,7,8,9,10,12],[3,4,5,6,7,12,13],[3,4,5,8,10,11,14],[3,4,6,9,10,11,12],[3,4,7,8,9,10,13],[3,5,6,9,10,12,14],[3,6,7,8,11,13,14]]; G[1837]:=Group([(1,13)(2,7)(4,11)(5,14)(6,9)]); # Design 1838: autom. group order 2, simple B[1838]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,12,13,14],[1,3,5,8,10,13,14],[1,4,6,7,10,11,14],[1,4,6,8,9,11,13],[1,4,7,8,9,12,14],[1,5,6,9,10,13,14],[1,5,7,8,10,11,12],[1,5,7,9,11,12,13],[2,3,7,9,11,13,14],[2,4,5,7,10,11,14],[2,4,5,9,10,11,13],[2,4,8,10,12,13,14],[2,5,6,7,8,9,14],[2,5,6,8,11,12,13],[2,6,7,8,9,10,12],[3,4,5,6,7,12,13],[3,4,5,8,11,12,14],[3,4,6,9,10,11,12],[3,4,7,8,9,10,13],[3,5,6,9,10,12,14],[3,6,7,8,11,13,14]]; G[1838]:=Group([(1,13)(2,7)(4,11)(5,14)(6,9)]); # Design 1839: autom. group order 2, simple, residual B[1839]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,12,13,14],[1,3,5,8,10,13,14],[1,4,6,7,10,11,14],[1,4,6,8,9,11,13],[1,4,7,8,9,12,14],[1,5,6,9,10,13,14],[1,5,7,8,10,11,12],[1,5,7,9,11,12,13],[2,3,7,9,11,13,14],[2,4,5,7,8,11,14],[2,4,5,9,10,11,13],[2,4,8,10,12,13,14],[2,5,6,7,9,10,14],[2,5,6,8,11,12,13],[2,6,7,8,9,10,12],[3,4,5,6,7,12,13],[3,4,5,10,11,12,14],[3,4,6,9,10,11,12],[3,4,7,8,9,10,13],[3,5,6,8,9,12,14],[3,6,7,8,11,13,14]]; G[1839]:=Group([(1,13)(2,7)(4,11)(5,14)(6,9)]); # Design 1840: autom. group order 2, simple B[1840]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,10,13,14],[1,3,5,8,12,13,14],[1,4,6,7,8,11,14],[1,4,6,9,11,12,13],[1,4,7,8,9,12,14],[1,5,6,9,10,13,14],[1,5,7,8,10,11,12],[1,5,7,9,10,11,13],[2,3,7,9,11,13,14],[2,4,5,7,10,11,14],[2,4,5,8,9,11,13],[2,4,8,10,12,13,14],[2,5,6,7,9,12,14],[2,5,6,8,11,12,13],[2,6,7,8,9,10,12],[3,4,5,6,7,12,13],[3,4,5,10,11,12,14],[3,4,6,9,10,11,12],[3,4,7,8,9,10,13],[3,5,6,8,9,10,14],[3,6,7,8,11,13,14]]; G[1840]:=Group([(1,13)(2,7)(4,11)(5,14)(6,9)]); # Design 1841: autom. group order 2, simple B[1841]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,8,13,14],[1,3,5,10,12,13,14],[1,4,6,7,10,11,14],[1,4,6,9,11,12,13],[1,4,7,8,9,12,14],[1,5,6,9,10,13,14],[1,5,7,8,9,11,13],[1,5,7,8,10,11,12],[2,3,7,9,11,13,14],[2,4,5,7,10,11,14],[2,4,5,9,10,11,13],[2,4,8,10,12,13,14],[2,5,6,7,9,12,14],[2,5,6,8,11,12,13],[2,6,7,8,9,10,12],[3,4,5,6,7,12,13],[3,4,5,8,11,12,14],[3,4,6,9,10,11,12],[3,4,7,8,9,10,13],[3,5,6,8,9,10,14],[3,6,7,8,11,13,14]]; G[1841]:=Group([(1,13)(2,7)(4,11)(5,14)(6,9)]); # Design 1842: autom. group order 2, simple, residual B[1842]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,8,13,14],[1,3,5,10,12,13,14],[1,4,6,7,10,11,14],[1,4,6,9,11,12,13],[1,4,7,8,9,12,14],[1,5,6,9,10,13,14],[1,5,7,8,9,11,13],[1,5,7,8,10,11,12],[2,3,7,9,11,13,14],[2,4,5,7,11,12,14],[2,4,5,9,10,11,13],[2,4,8,10,12,13,14],[2,5,6,7,9,10,14],[2,5,6,8,11,12,13],[2,6,7,8,9,10,12],[3,4,5,6,7,12,13],[3,4,5,8,10,11,14],[3,4,6,9,10,11,12],[3,4,7,8,9,10,13],[3,5,6,8,9,12,14],[3,6,7,8,11,13,14]]; G[1842]:=Group([(1,13)(2,7)(4,11)(5,14)(6,9)]); # Design 1843: autom. group order 2, simple B[1843]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,12,13,14],[1,3,5,7,10,13,14],[1,4,6,7,9,11,14],[1,4,7,8,10,11,14],[1,4,8,9,10,12,13],[1,5,6,8,9,10,14],[1,5,6,8,11,12,13],[1,5,7,9,11,12,13],[2,3,8,9,11,13,14],[2,4,5,6,10,11,13],[2,4,5,10,11,12,14],[2,4,7,8,9,10,13],[2,5,6,7,8,9,12],[2,5,7,8,11,13,14],[2,6,7,9,10,12,14],[3,4,5,7,8,12,14],[3,4,5,9,10,11,12],[3,4,6,7,9,11,13],[3,4,6,8,12,13,14],[3,5,6,9,10,13,14],[3,6,7,8,10,11,12]]; G[1843]:=Group([(2,12)(3,13)(4,11)(6,9)]); # Design 1844: autom. group order 2, simple, residual B[1844]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,9,10,13,14],[1,4,6,7,11,13,14],[1,4,7,8,9,10,13],[1,4,7,8,10,12,14],[1,5,6,7,9,11,13],[1,5,6,8,10,11,12],[1,5,8,9,11,12,14],[2,3,7,8,9,11,14],[2,4,5,6,8,12,13],[2,4,5,7,10,11,14],[2,4,8,9,10,11,13],[2,5,6,9,10,13,14],[2,5,7,8,12,13,14],[2,6,7,9,10,11,12],[3,4,5,7,9,11,12],[3,4,5,10,11,12,13],[3,4,6,8,11,13,14],[3,4,6,9,10,12,14],[3,5,6,7,8,10,14],[3,6,7,8,9,12,13]]; G[1844]:=Group([(2,3)(4,13)(5,12)(6,10)(8,11)(9,14)]); # Design 1845: autom. group order 2, simple B[1845]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,11],[1,2,3,9,12,13,14],[1,2,4,6,10,13,14],[1,3,5,8,11,13,14],[1,4,6,7,9,11,13],[1,4,7,8,11,12,14],[1,4,8,9,10,12,13],[1,5,6,7,10,12,13],[1,5,6,9,11,12,14],[1,5,7,8,9,10,14],[2,3,7,9,12,13,14],[2,4,5,6,8,9,12],[2,4,5,10,11,12,14],[2,4,7,9,10,11,14],[2,5,6,8,11,13,14],[2,5,7,8,10,12,13],[2,6,7,8,9,11,13],[3,4,5,7,11,12,13],[3,4,5,9,10,11,13],[3,4,6,7,8,12,14],[3,4,6,8,10,13,14],[3,5,6,7,9,10,14],[3,6,8,9,10,11,12]]; G[1845]:=Group([(2,3)(4,11)(5,10)(6,8)(9,12)(13,14)]); # Design 1846: autom. group order 2, simple B[1846]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,11],[1,2,3,9,12,13,14],[1,2,4,6,10,13,14],[1,3,5,8,11,13,14],[1,4,6,7,9,11,13],[1,4,7,8,11,12,14],[1,4,8,9,10,12,13],[1,5,6,7,10,12,13],[1,5,6,9,11,12,14],[1,5,7,8,9,10,14],[2,3,7,9,12,13,14],[2,4,5,6,8,13,14],[2,4,5,10,11,12,14],[2,4,7,9,10,11,14],[2,5,6,8,9,11,12],[2,5,7,8,10,12,13],[2,6,7,8,9,11,13],[3,4,5,7,11,12,13],[3,4,5,9,10,11,13],[3,4,6,7,8,12,14],[3,4,6,8,9,10,12],[3,5,6,7,9,10,14],[3,6,8,10,11,13,14]]; G[1846]:=Group([(2,3)(4,11)(5,10)(6,8)(9,12)(13,14)]); # Design 1847: autom. group order 2, simple B[1847]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,11],[1,2,3,9,12,13,14],[1,2,4,6,10,13,14],[1,3,5,8,11,13,14],[1,4,6,7,11,12,13],[1,4,7,8,9,11,14],[1,4,8,9,10,12,13],[1,5,6,7,9,10,13],[1,5,6,9,11,12,14],[1,5,7,8,10,12,14],[2,3,7,9,12,13,14],[2,4,5,6,8,9,12],[2,4,5,10,11,12,14],[2,4,7,9,10,11,14],[2,5,6,8,11,13,14],[2,5,7,8,10,12,13],[2,6,7,8,9,11,13],[3,4,5,7,11,12,13],[3,4,5,9,10,11,13],[3,4,6,7,8,12,14],[3,4,6,8,10,13,14],[3,5,6,7,9,10,14],[3,6,8,9,10,11,12]]; G[1847]:=Group([(2,3)(4,11)(5,10)(6,8)(9,12)(13,14)]); # Design 1848: autom. group order 2, simple B[1848]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,11],[1,2,3,9,12,13,14],[1,2,4,6,10,13,14],[1,3,5,8,11,13,14],[1,4,6,7,11,12,13],[1,4,7,8,9,11,14],[1,4,8,9,10,12,13],[1,5,6,7,9,10,13],[1,5,6,9,11,12,14],[1,5,7,8,10,12,14],[2,3,7,9,12,13,14],[2,4,5,6,8,13,14],[2,4,5,10,11,12,14],[2,4,7,9,10,11,14],[2,5,6,8,9,11,12],[2,5,7,8,10,12,13],[2,6,7,8,9,11,13],[3,4,5,7,11,12,13],[3,4,5,9,10,11,13],[3,4,6,7,8,12,14],[3,4,6,8,9,10,12],[3,5,6,7,9,10,14],[3,6,8,10,11,13,14]]; G[1848]:=Group([(2,3)(4,11)(5,10)(6,8)(9,12)(13,14)]); # Design 1849: autom. group order 2, simple B[1849]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,11],[1,2,3,9,12,13,14],[1,2,4,6,10,13,14],[1,3,5,8,11,13,14],[1,4,6,7,9,11,13],[1,4,7,8,11,12,14],[1,4,8,9,10,12,13],[1,5,6,7,10,12,13],[1,5,6,9,11,12,14],[1,5,7,8,9,10,14],[2,3,7,9,12,13,14],[2,4,5,6,8,9,12],[2,4,5,10,11,12,14],[2,4,7,8,11,12,13],[2,5,6,8,11,13,14],[2,5,7,9,10,11,13],[2,6,7,8,9,10,14],[3,4,5,7,10,12,14],[3,4,5,9,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,10,13,14],[3,5,6,7,8,12,13],[3,6,8,9,10,11,12]]; G[1849]:=Group([(2,3)(4,11)(5,10)(6,8)(9,12)(13,14)]); # Design 1850: autom. group order 2, simple B[1850]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,11],[1,2,3,9,12,13,14],[1,2,4,6,10,13,14],[1,3,5,8,11,13,14],[1,4,6,7,9,11,13],[1,4,7,8,11,12,14],[1,4,8,9,10,12,13],[1,5,6,7,10,12,13],[1,5,6,9,11,12,14],[1,5,7,8,9,10,14],[2,3,7,9,12,13,14],[2,4,5,6,8,13,14],[2,4,5,10,11,12,14],[2,4,7,8,11,12,13],[2,5,6,8,9,11,12],[2,5,7,9,10,11,13],[2,6,7,8,9,10,14],[3,4,5,7,10,12,14],[3,4,5,9,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,9,10,12],[3,5,6,7,8,12,13],[3,6,8,10,11,13,14]]; G[1850]:=Group([(2,3)(4,11)(5,10)(6,8)(9,12)(13,14)]); # Design 1851: autom. group order 2, simple B[1851]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,11],[1,2,3,9,12,13,14],[1,2,4,6,10,13,14],[1,3,5,8,11,13,14],[1,4,6,7,11,12,13],[1,4,7,8,9,11,14],[1,4,8,9,10,12,13],[1,5,6,7,9,10,13],[1,5,6,9,11,12,14],[1,5,7,8,10,12,14],[2,3,7,9,12,13,14],[2,4,5,6,8,9,12],[2,4,5,10,11,12,14],[2,4,7,8,11,12,13],[2,5,6,8,11,13,14],[2,5,7,9,10,11,13],[2,6,7,8,9,10,14],[3,4,5,7,10,12,14],[3,4,5,9,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,10,13,14],[3,5,6,7,8,12,13],[3,6,8,9,10,11,12]]; G[1851]:=Group([(2,3)(4,11)(5,10)(6,8)(9,12)(13,14)]); # Design 1852: autom. group order 2, simple B[1852]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,11],[1,2,3,9,12,13,14],[1,2,4,6,10,13,14],[1,3,5,8,11,13,14],[1,4,6,7,11,12,13],[1,4,7,8,9,11,14],[1,4,8,9,10,12,13],[1,5,6,7,9,10,13],[1,5,6,9,11,12,14],[1,5,7,8,10,12,14],[2,3,7,9,12,13,14],[2,4,5,6,8,13,14],[2,4,5,10,11,12,14],[2,4,7,8,11,12,13],[2,5,6,8,9,11,12],[2,5,7,9,10,11,13],[2,6,7,8,9,10,14],[3,4,5,7,10,12,14],[3,4,5,9,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,9,10,12],[3,5,6,7,8,12,13],[3,6,8,10,11,13,14]]; G[1852]:=Group([(2,3)(4,11)(5,10)(6,8)(9,12)(13,14)]); # Design 1853: autom. group order 2, simple B[1853]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,11,12],[1,2,4,6,10,13,14],[1,3,5,9,11,13,14],[1,4,6,8,11,12,13],[1,4,7,8,9,11,14],[1,4,7,9,10,12,13],[1,5,6,7,11,12,14],[1,5,6,8,10,12,14],[1,5,7,8,9,10,13],[2,3,7,8,12,13,14],[2,4,5,6,7,9,12],[2,4,5,10,11,12,13],[2,4,7,8,10,11,14],[2,5,6,9,11,13,14],[2,5,8,9,10,12,14],[2,6,7,8,9,11,13],[3,4,5,7,10,11,14],[3,4,5,8,11,12,13],[3,4,6,8,9,12,14],[3,4,6,9,10,13,14],[3,5,6,7,8,10,13],[3,6,7,9,10,11,12]]; G[1853]:=Group([(2,3)(4,11)(5,10)(6,9)(7,12)(13,14)]); # Design 1854: autom. group order 2, simple B[1854]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,11,12],[1,2,4,6,10,13,14],[1,3,5,9,11,13,14],[1,4,6,8,11,12,13],[1,4,7,8,9,11,14],[1,4,7,9,10,12,14],[1,5,6,7,11,12,13],[1,5,6,8,10,12,14],[1,5,7,8,9,10,13],[2,3,7,8,12,13,14],[2,4,5,6,7,9,12],[2,4,5,10,11,12,14],[2,4,7,8,10,11,13],[2,5,6,9,11,13,14],[2,5,8,9,10,12,13],[2,6,7,8,9,11,14],[3,4,5,7,10,11,13],[3,4,5,8,11,12,14],[3,4,6,8,9,12,13],[3,4,6,9,10,13,14],[3,5,6,7,8,10,14],[3,6,7,9,10,11,12]]; G[1854]:=Group([(2,3)(4,11)(5,10)(6,9)(7,12)(13,14)]); # Design 1855: autom. group order 2, simple B[1855]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,11,12],[1,2,4,6,10,13,14],[1,3,5,9,11,13,14],[1,4,6,8,11,12,13],[1,4,7,8,9,11,14],[1,4,7,9,10,12,13],[1,5,6,7,11,12,14],[1,5,6,8,10,12,14],[1,5,7,8,9,10,13],[2,3,7,8,12,13,14],[2,4,5,6,7,9,12],[2,4,5,10,11,12,13],[2,4,8,9,11,12,14],[2,5,6,9,11,13,14],[2,5,7,8,10,11,13],[2,6,7,8,9,10,14],[3,4,5,7,10,11,14],[3,4,5,8,10,12,14],[3,4,6,7,8,11,13],[3,4,6,9,10,13,14],[3,5,6,8,9,12,13],[3,6,7,9,10,11,12]]; G[1855]:=Group([(2,3)(4,11)(5,10)(6,9)(7,12)(13,14)]); # Design 1856: autom. group order 2, simple B[1856]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,11,12],[1,2,4,6,10,13,14],[1,3,5,9,11,13,14],[1,4,6,8,11,12,13],[1,4,7,8,9,11,14],[1,4,7,9,10,12,14],[1,5,6,7,11,12,13],[1,5,6,8,10,12,14],[1,5,7,8,9,10,13],[2,3,7,8,12,13,14],[2,4,5,6,7,9,12],[2,4,5,10,11,12,14],[2,4,8,9,11,12,13],[2,5,6,9,11,13,14],[2,5,7,8,10,11,14],[2,6,7,8,9,10,13],[3,4,5,7,10,11,13],[3,4,5,8,10,12,13],[3,4,6,7,8,11,14],[3,4,6,9,10,13,14],[3,5,6,8,9,12,14],[3,6,7,9,10,11,12]]; G[1856]:=Group([(2,3)(4,11)(5,10)(6,9)(7,12)(13,14)]); # Design 1857: autom. group order 2, simple B[1857]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,9,10,11,14],[1,4,6,8,9,12,13],[1,4,7,8,10,11,13],[1,4,7,9,10,11,14],[1,5,6,7,9,11,13],[1,5,6,8,10,12,14],[1,5,7,8,12,13,14],[2,3,7,8,11,13,14],[2,4,5,6,10,13,14],[2,4,5,7,8,11,12],[2,4,7,9,10,12,14],[2,5,6,7,9,10,13],[2,5,8,9,10,11,12],[2,6,8,9,11,13,14],[3,4,5,8,10,13,14],[3,4,5,9,11,12,13],[3,4,6,7,8,9,14],[3,4,6,10,11,12,13],[3,5,6,7,11,12,14],[3,6,7,8,9,10,12]]; G[1857]:=Group([(1,11)(3,8)(4,14)(5,13)(7,9)]); # Design 1858: autom. group order 2, simple, residual B[1858]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,3,9,10,11,13],[1,2,4,6,8,12,14],[1,3,5,10,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,10,12,13],[1,4,7,9,11,12,13],[1,5,6,7,8,10,11],[1,5,6,9,12,13,14],[1,5,7,8,9,11,14],[2,3,7,9,11,12,14],[2,4,5,6,11,13,14],[2,4,5,7,10,11,12],[2,4,8,9,10,12,14],[2,5,6,7,9,12,13],[2,5,8,10,11,13,14],[2,6,7,8,9,10,13],[3,4,5,7,9,10,14],[3,4,5,8,11,12,13],[3,4,6,7,10,13,14],[3,4,6,8,9,11,13],[3,5,6,8,9,10,12],[3,6,7,8,11,12,14]]; G[1858]:=Group([(1,14)(2,7)(4,11)(5,12)(6,9)]); # Design 1859: autom. group order 2, simple, residual B[1859]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,11,13,14],[1,3,5,10,12,13,14],[1,4,6,9,12,13,14],[1,4,7,8,10,11,13],[1,4,7,9,10,11,12],[1,5,6,7,8,12,14],[1,5,6,8,9,11,13],[1,5,7,8,9,10,14],[2,3,7,8,9,13,14],[2,4,5,6,9,10,12],[2,4,5,8,10,12,13],[2,4,7,8,11,12,14],[2,5,6,7,10,11,14],[2,5,9,10,11,13,14],[2,6,7,8,9,12,13],[3,4,5,7,9,11,13],[3,4,5,8,11,12,14],[3,4,6,7,9,10,14],[3,4,6,8,10,13,14],[3,5,6,7,11,12,13],[3,6,8,9,10,11,12]]; G[1859]:=Group([(1,11)(3,14)(4,10)(8,13)]); # Design 1860: autom. group order 2, simple B[1860]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,11,12],[1,2,4,6,10,13,14],[1,3,5,9,11,13,14],[1,4,6,8,11,12,13],[1,4,7,8,9,11,14],[1,4,7,9,10,12,13],[1,5,6,7,11,12,14],[1,5,6,8,10,12,14],[1,5,7,8,9,10,13],[2,3,7,8,12,13,14],[2,4,5,6,9,13,14],[2,4,5,10,11,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,11,12],[2,5,8,9,10,12,14],[2,6,7,8,9,11,13],[3,4,5,7,10,11,14],[3,4,5,8,11,12,13],[3,4,6,7,9,10,12],[3,4,6,8,9,12,14],[3,5,6,7,8,10,13],[3,6,9,10,11,13,14]]; G[1860]:=Group([(2,3)(4,11)(5,10)(6,9)(7,12)(13,14)]); # Design 1861: autom. group order 2, simple B[1861]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,11,12],[1,2,4,6,10,13,14],[1,3,5,9,11,13,14],[1,4,6,8,11,12,13],[1,4,7,8,9,11,14],[1,4,7,9,10,12,14],[1,5,6,7,11,12,13],[1,5,6,8,10,12,14],[1,5,7,8,9,10,13],[2,3,7,8,12,13,14],[2,4,5,6,9,13,14],[2,4,5,10,11,12,14],[2,4,7,8,10,11,13],[2,5,6,7,9,11,12],[2,5,8,9,10,12,13],[2,6,7,8,9,11,14],[3,4,5,7,10,11,13],[3,4,5,8,11,12,14],[3,4,6,7,9,10,12],[3,4,6,8,9,12,13],[3,5,6,7,8,10,14],[3,6,9,10,11,13,14]]; G[1861]:=Group([(2,3)(4,11)(5,10)(6,9)(7,12)(13,14)]); # Design 1862: autom. group order 2, simple B[1862]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,11,12],[1,2,4,6,10,13,14],[1,3,5,9,11,13,14],[1,4,6,8,11,12,13],[1,4,7,8,9,11,14],[1,4,7,9,10,12,13],[1,5,6,7,11,12,14],[1,5,6,8,10,12,14],[1,5,7,8,9,10,13],[2,3,7,8,12,13,14],[2,4,5,6,9,13,14],[2,4,5,10,11,12,13],[2,4,8,9,11,12,14],[2,5,6,7,9,11,12],[2,5,7,8,10,11,13],[2,6,7,8,9,10,14],[3,4,5,7,10,11,14],[3,4,5,8,10,12,14],[3,4,6,7,8,11,13],[3,4,6,7,9,10,12],[3,5,6,8,9,12,13],[3,6,9,10,11,13,14]]; G[1862]:=Group([(2,3)(4,11)(5,10)(6,9)(7,12)(13,14)]); # Design 1863: autom. group order 2, simple B[1863]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,3,9,10,11,12],[1,2,4,6,10,13,14],[1,3,5,9,11,13,14],[1,4,6,8,11,12,13],[1,4,7,8,9,11,14],[1,4,7,9,10,12,14],[1,5,6,7,11,12,13],[1,5,6,8,10,12,14],[1,5,7,8,9,10,13],[2,3,7,8,12,13,14],[2,4,5,6,9,13,14],[2,4,5,10,11,12,14],[2,4,8,9,11,12,13],[2,5,6,7,9,11,12],[2,5,7,8,10,11,14],[2,6,7,8,9,10,13],[3,4,5,7,10,11,13],[3,4,5,8,10,12,13],[3,4,6,7,8,11,14],[3,4,6,7,9,10,12],[3,5,6,8,9,12,14],[3,6,9,10,11,13,14]]; G[1863]:=Group([(2,3)(4,11)(5,10)(6,9)(7,12)(13,14)]); # Design 1864: autom. group order 2, simple, residual B[1864]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,9,10,13,14],[1,4,6,8,10,11,13],[1,4,7,8,10,12,14],[1,4,8,9,11,13,14],[1,5,6,7,9,11,13],[1,5,6,7,11,12,14],[1,5,7,8,9,10,12],[2,3,7,8,9,11,14],[2,4,5,6,8,12,13],[2,4,5,7,10,11,14],[2,4,7,9,11,12,13],[2,5,6,9,10,13,14],[2,5,8,9,10,11,12],[2,6,7,8,10,13,14],[3,4,5,7,8,13,14],[3,4,5,10,11,12,13],[3,4,6,7,9,10,11],[3,4,6,9,10,12,14],[3,5,6,8,11,12,14],[3,6,7,8,9,12,13]]; G[1864]:=Group([(2,3)(4,13)(5,12)(6,10)(8,11)(9,14)]); # Design 1865: autom. group order 2, simple B[1865]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,12,13,14],[1,3,5,7,11,13,14],[1,4,6,7,8,9,13],[1,4,7,9,10,11,14],[1,4,8,10,11,13,14],[1,5,6,8,11,12,14],[1,5,6,9,10,12,13],[1,5,7,8,9,10,12],[2,3,8,9,10,13,14],[2,4,5,7,10,11,13],[2,4,5,8,11,12,13],[2,4,6,9,10,11,12],[2,5,6,7,9,11,14],[2,5,7,8,10,12,14],[2,6,7,8,9,13,14],[3,4,5,6,8,10,14],[3,4,5,9,12,13,14],[3,4,6,7,10,12,14],[3,4,7,8,9,11,12],[3,5,6,9,10,11,13],[3,6,7,8,11,12,13]]; G[1865]:=Group([(2,14)(3,11)(5,10)(6,13)(7,8)]); # Design 1866: autom. group order 2, simple, residual B[1866]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,9,13,14],[1,3,5,7,11,13,14],[1,4,6,7,8,12,13],[1,4,7,9,10,11,14],[1,4,8,10,11,13,14],[1,5,6,8,11,12,14],[1,5,6,9,10,12,13],[1,5,7,8,9,10,12],[2,3,8,10,12,13,14],[2,4,5,7,8,10,14],[2,4,5,8,11,12,13],[2,4,6,9,10,11,12],[2,5,6,7,11,12,14],[2,5,7,9,10,11,13],[2,6,7,8,9,13,14],[3,4,5,6,10,11,13],[3,4,5,9,12,13,14],[3,4,6,7,10,12,14],[3,4,7,8,9,11,12],[3,5,6,8,9,10,14],[3,6,7,8,9,11,13]]; G[1866]:=Group([(2,14)(3,11)(5,10)(6,13)(7,8)]); # Design 1867: autom. group order 2, simple, residual B[1867]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,10,12,14],[1,3,5,7,11,12,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,14],[1,4,7,8,11,12,13],[1,5,6,7,9,13,14],[1,5,6,8,10,13,14],[1,5,8,9,10,11,12],[2,3,8,9,12,13,14],[2,4,5,7,9,10,11],[2,4,5,10,12,13,14],[2,4,6,8,9,11,14],[2,5,6,7,9,12,13],[2,5,7,8,11,12,14],[2,6,7,8,10,11,13],[3,4,5,6,8,11,13],[3,4,5,10,11,13,14],[3,4,6,7,8,12,14],[3,4,7,9,10,12,13],[3,5,6,8,9,10,12],[3,6,7,9,10,11,14]]; G[1867]:=Group([(2,12)(3,11)(5,13)(7,9)]); # Design 1868: autom. group order 2, simple B[1868]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,12,13,14],[1,3,5,7,9,12,14],[1,4,6,8,9,10,11],[1,4,7,8,11,13,14],[1,4,7,9,10,11,12],[1,5,6,7,8,11,12],[1,5,6,9,10,13,14],[1,5,8,10,12,13,14],[2,3,8,10,11,12,14],[2,4,5,7,10,12,13],[2,4,5,9,10,11,13],[2,4,6,8,9,12,14],[2,5,6,7,10,11,14],[2,5,7,8,9,11,14],[2,6,7,8,9,12,13],[3,4,5,6,8,10,14],[3,4,5,8,11,12,13],[3,4,6,7,11,13,14],[3,4,7,9,10,12,14],[3,5,6,9,11,12,13],[3,6,7,8,9,10,13]]; G[1868]:=Group([(2,13)(3,14)(4,10)(6,8)(7,12)]); # Design 1869: autom. group order 2, simple, residual B[1869]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,12,13,14],[1,3,5,7,11,12,14],[1,4,6,8,9,10,11],[1,4,7,8,11,13,14],[1,4,7,9,10,11,12],[1,5,6,7,8,9,12],[1,5,6,9,10,13,14],[1,5,8,10,12,13,14],[2,3,8,9,10,12,14],[2,4,5,7,10,12,13],[2,4,5,9,10,11,13],[2,4,6,8,11,12,14],[2,5,6,7,10,11,14],[2,5,7,8,9,11,14],[2,6,7,8,9,12,13],[3,4,5,6,8,10,14],[3,4,5,8,11,12,13],[3,4,6,7,9,13,14],[3,4,7,9,10,12,14],[3,5,6,9,11,12,13],[3,6,7,8,10,11,13]]; G[1869]:=Group([(2,13)(3,14)(4,10)(6,8)(7,12)]); # Design 1870: autom. group order 2, simple, residual B[1870]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,9,10,13,14],[1,4,6,7,11,13,14],[1,4,7,8,9,10,13],[1,4,7,9,10,11,12],[1,5,6,7,8,13,14],[1,5,6,8,10,11,12],[1,5,8,9,11,12,14],[2,3,7,8,9,11,14],[2,4,5,7,10,11,14],[2,4,5,8,10,12,13],[2,4,6,8,9,11,13],[2,5,6,9,10,13,14],[2,5,7,9,11,12,13],[2,6,7,8,10,12,14],[3,4,5,6,11,12,13],[3,4,5,7,8,12,14],[3,4,6,9,10,12,14],[3,4,8,10,11,13,14],[3,5,6,7,9,10,11],[3,6,7,8,9,12,13]]; G[1870]:=Group([(2,3)(4,13)(5,12)(6,10)(8,11)(9,14)]); # Design 1871: autom. group order 2, simple, residual B[1871]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,11,13,14],[1,3,5,8,12,13,14],[1,4,6,7,9,10,12],[1,4,7,8,9,10,13],[1,4,7,8,11,12,14],[1,5,6,7,10,11,14],[1,5,6,8,9,12,13],[1,5,9,10,11,13,14],[2,3,7,9,10,13,14],[2,4,5,8,10,11,13],[2,4,5,9,10,11,12],[2,4,6,9,12,13,14],[2,5,6,7,8,9,14],[2,5,7,8,10,12,14],[2,6,7,8,11,12,13],[3,4,5,6,10,12,14],[3,4,5,7,11,12,13],[3,4,6,8,10,13,14],[3,4,7,8,9,11,14],[3,5,6,7,9,11,13],[3,6,8,9,10,11,12]]; G[1871]:=Group([(2,11)(3,14)(4,10)(8,13)]); # Design 1872: autom. group order 2, simple, residual B[1872]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,3,9,11,13,14],[1,2,4,6,10,12,14],[1,3,5,9,11,12,14],[1,4,6,7,11,12,13],[1,4,7,8,9,10,14],[1,4,8,9,11,12,13],[1,5,6,7,9,13,14],[1,5,6,8,10,13,14],[1,5,7,8,10,11,12],[2,3,7,8,12,13,14],[2,4,5,7,9,10,11],[2,4,5,10,11,13,14],[2,4,6,8,9,12,14],[2,5,6,7,9,12,13],[2,5,7,8,11,12,14],[2,6,8,9,10,11,13],[3,4,5,6,8,11,13],[3,4,5,10,12,13,14],[3,4,6,7,8,11,14],[3,4,7,9,10,12,13],[3,5,6,8,9,10,12],[3,6,7,9,10,11,14]]; G[1872]:=Group([(2,12)(3,11)(5,13)]); # Design 1873: autom. group order 2, simple, residual B[1873]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,12,13,14],[1,3,5,8,10,13,14],[1,4,6,7,10,11,14],[1,4,7,8,9,12,14],[1,4,8,10,11,12,13],[1,5,6,7,9,10,11],[1,5,6,8,9,13,14],[1,5,7,9,11,12,13],[2,3,7,9,11,13,14],[2,4,5,7,8,11,14],[2,4,5,9,10,11,13],[2,4,6,9,10,13,14],[2,5,6,8,11,12,13],[2,5,7,8,10,12,14],[2,6,7,8,9,10,12],[3,4,5,6,7,12,13],[3,4,5,10,11,12,14],[3,4,6,8,9,11,12],[3,4,7,8,9,10,13],[3,5,6,9,10,12,14],[3,6,7,8,11,13,14]]; G[1873]:=Group([(1,13)(2,7)(4,11)(5,14)(6,9)]); # Design 1874: autom. group order 2, simple B[1874]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,7,12,14],[1,3,5,7,11,13,14],[1,4,6,7,9,10,13],[1,4,7,9,10,11,12],[1,4,8,9,11,13,14],[1,5,6,8,9,13,14],[1,5,6,8,10,11,12],[1,5,7,8,10,12,14],[2,3,7,8,9,10,14],[2,4,5,8,9,11,12],[2,4,5,10,12,13,14],[2,4,6,8,10,13,14],[2,5,6,7,9,11,13],[2,5,7,9,10,11,14],[2,6,7,8,11,12,13],[3,4,5,6,10,11,14],[3,4,5,7,8,12,13],[3,4,6,9,11,12,14],[3,4,7,8,10,11,13],[3,5,6,9,10,12,13],[3,6,7,8,9,12,14]]; G[1874]:=Group([(2,3)(4,13)(5,12)(6,11)(7,14)(8,10)]); # Design 1875: autom. group order 2, simple B[1875]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,7,12,14],[1,3,5,7,11,13,14],[1,4,6,7,9,10,13],[1,4,7,8,9,11,12],[1,4,8,9,11,13,14],[1,5,6,8,10,11,12],[1,5,6,9,10,13,14],[1,5,7,8,10,12,14],[2,3,7,8,9,10,14],[2,4,5,8,12,13,14],[2,4,5,9,10,11,12],[2,4,6,8,10,13,14],[2,5,6,7,8,11,13],[2,5,7,9,10,11,14],[2,6,7,9,11,12,13],[3,4,5,6,9,11,14],[3,4,5,7,10,12,13],[3,4,6,10,11,12,14],[3,4,7,8,10,11,13],[3,5,6,8,9,12,13],[3,6,7,8,9,12,14]]; G[1875]:=Group([(2,3)(4,13)(5,12)(6,11)(7,14)(8,10)]); # Design 1876: autom. group order 2, simple B[1876]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,7,12,14],[1,3,5,7,11,13,14],[1,4,6,8,10,11,13],[1,4,7,8,9,11,12],[1,4,7,8,10,13,14],[1,5,6,7,9,10,12],[1,5,6,9,10,13,14],[1,5,8,9,11,12,14],[2,3,7,8,9,10,14],[2,4,5,8,9,13,14],[2,4,5,10,11,12,13],[2,4,6,9,10,11,14],[2,5,6,7,9,11,13],[2,5,7,8,10,11,12],[2,6,7,8,12,13,14],[3,4,5,6,8,12,13],[3,4,5,7,10,11,14],[3,4,6,9,11,12,14],[3,4,7,9,10,12,13],[3,5,6,8,10,12,14],[3,6,7,8,9,11,13]]; G[1876]:=Group([(2,3)(4,13)(5,12)(6,11)(7,14)(8,10)]); # Design 1877: autom. group order 2, simple B[1877]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,7,12,14],[1,3,5,7,11,13,14],[1,4,6,9,10,13,14],[1,4,7,8,9,11,13],[1,4,8,9,11,12,14],[1,5,6,7,9,10,13],[1,5,6,8,10,11,12],[1,5,7,8,10,12,14],[2,3,7,8,9,10,14],[2,4,5,7,8,12,13],[2,4,5,9,10,11,12],[2,4,6,8,10,13,14],[2,5,6,8,11,13,14],[2,5,7,9,10,11,14],[2,6,7,9,11,12,13],[3,4,5,6,9,11,14],[3,4,5,10,12,13,14],[3,4,6,7,10,11,12],[3,4,7,8,10,11,13],[3,5,6,8,9,12,13],[3,6,7,8,9,12,14]]; G[1877]:=Group([(2,3)(4,13)(5,12)(6,11)(7,14)(8,10)]); # Design 1878: autom. group order 2, simple, residual B[1878]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,9,12,14],[1,3,5,9,10,13,14],[1,4,6,8,10,11,13],[1,4,7,9,10,11,12],[1,4,8,9,11,13,14],[1,5,6,7,8,13,14],[1,5,6,7,11,12,14],[1,5,7,8,9,10,12],[2,3,7,8,9,11,14],[2,4,5,7,10,11,14],[2,4,5,8,10,12,13],[2,4,7,8,12,13,14],[2,5,6,8,9,11,12],[2,5,6,9,10,13,14],[2,6,7,9,10,11,13],[3,4,5,6,11,12,13],[3,4,5,7,9,11,13],[3,4,6,7,8,10,14],[3,4,6,9,10,12,14],[3,5,8,10,11,12,14],[3,6,7,8,9,12,13]]; G[1878]:=Group([(2,3)(4,13)(5,12)(6,10)(8,11)(9,14)]); # Design 1879: autom. group order 2, simple B[1879]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,7,12,14],[1,3,5,7,11,13,14],[1,4,6,7,9,10,13],[1,4,7,8,9,11,12],[1,4,8,9,11,13,14],[1,5,6,8,10,11,12],[1,5,6,9,10,13,14],[1,5,7,8,10,12,14],[2,3,7,8,9,10,14],[2,4,5,9,10,12,14],[2,4,5,10,11,12,13],[2,4,7,8,10,11,13],[2,5,6,7,9,11,13],[2,5,6,8,9,11,14],[2,6,7,8,12,13,14],[3,4,5,6,8,12,13],[3,4,5,7,10,11,14],[3,4,6,8,10,13,14],[3,4,6,9,11,12,14],[3,5,7,8,9,12,13],[3,6,7,9,10,11,12]]; G[1879]:=Group([(2,3)(4,13)(5,12)(6,11)(7,14)(8,10)]); # Design 1880: autom. group order 2, simple B[1880]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,7,12,14],[1,3,5,7,11,13,14],[1,4,6,8,10,11,13],[1,4,7,8,10,13,14],[1,4,7,9,10,11,12],[1,5,6,7,9,10,12],[1,5,6,8,9,13,14],[1,5,8,9,11,12,14],[2,3,7,8,9,10,14],[2,4,5,9,10,11,13],[2,4,5,10,12,13,14],[2,4,7,8,9,11,14],[2,5,6,7,9,11,13],[2,5,6,8,10,12,14],[2,6,7,8,11,12,13],[3,4,5,6,10,11,14],[3,4,5,7,8,12,13],[3,4,6,8,9,12,13],[3,4,6,9,11,12,14],[3,5,7,8,10,11,12],[3,6,7,9,10,13,14]]; G[1880]:=Group([(2,3)(4,13)(5,12)(6,11)(7,14)(8,10)]); # Design 1881: autom. group order 2, simple B[1881]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,7,12,14],[1,3,5,7,11,13,14],[1,4,6,8,10,11,13],[1,4,7,8,9,11,12],[1,4,7,8,10,13,14],[1,5,6,7,9,10,12],[1,5,6,9,10,13,14],[1,5,8,9,11,12,14],[2,3,7,8,9,10,14],[2,4,5,8,12,13,14],[2,4,5,9,10,11,13],[2,4,7,9,10,11,14],[2,5,6,7,8,11,13],[2,5,6,8,10,12,14],[2,6,7,9,11,12,13],[3,4,5,6,9,11,14],[3,4,5,7,10,12,13],[3,4,6,8,9,12,13],[3,4,6,10,11,12,14],[3,5,7,8,10,11,12],[3,6,7,8,9,13,14]]; G[1881]:=Group([(2,3)(4,13)(5,12)(6,11)(7,14)(8,10)]); # Design 1882: autom. group order 2, simple B[1882]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,3,11,12,13,14],[1,2,4,6,7,12,14],[1,3,5,7,11,13,14],[1,4,6,8,10,11,13],[1,4,7,8,10,13,14],[1,4,8,9,11,12,14],[1,5,6,7,9,10,13],[1,5,6,9,10,12,14],[1,5,7,8,9,11,12],[2,3,7,8,9,10,14],[2,4,5,7,8,12,13],[2,4,5,9,10,11,13],[2,4,7,9,10,11,14],[2,5,6,8,10,12,14],[2,5,6,8,11,13,14],[2,6,7,9,11,12,13],[3,4,5,6,9,11,14],[3,4,5,10,12,13,14],[3,4,6,7,10,11,12],[3,4,6,8,9,12,13],[3,5,7,8,10,11,12],[3,6,7,8,9,13,14]]; G[1882]:=Group([(2,3)(4,13)(5,12)(6,11)(7,14)(8,10)]); # Design 1883: autom. group order 2, simple B[1883]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,7,12,13,14],[1,4,5,6,9,10,12],[1,4,5,10,11,13,14],[1,4,6,9,11,12,14],[1,5,7,8,9,11,13],[1,6,7,8,10,11,14],[1,7,8,9,10,12,13],[2,3,9,10,11,13,14],[2,4,6,7,8,10,11],[2,4,6,8,12,13,14],[2,4,7,10,11,12,13],[2,5,6,7,9,11,14],[2,5,6,9,10,12,13],[2,5,7,8,9,12,14],[3,4,5,7,9,10,14],[3,4,5,7,11,12,13],[3,4,6,7,8,9,13],[3,4,8,9,11,12,14],[3,5,6,8,10,11,12],[3,5,6,8,10,13,14]]; G[1883]:=Group([(1,2)(5,8)(6,10)(7,9)(11,12)(13,14)]); # Design 1884: autom. group order 2, simple, residual B[1884]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,7,12,13,14],[1,4,5,6,10,11,14],[1,4,5,9,10,12,13],[1,4,6,9,11,12,14],[1,5,7,8,9,11,13],[1,6,7,8,9,10,12],[1,7,8,10,11,13,14],[2,3,9,10,11,13,14],[2,4,6,7,8,11,14],[2,4,6,8,10,12,13],[2,4,7,10,11,12,13],[2,5,6,7,9,10,11],[2,5,6,9,12,13,14],[2,5,7,8,9,12,14],[3,4,5,7,9,10,14],[3,4,5,7,11,12,13],[3,4,6,7,8,9,13],[3,4,8,9,11,12,14],[3,5,6,8,10,11,12],[3,5,6,8,10,13,14]]; G[1884]:=Group([(1,2)(5,8)(6,10)(7,9)(11,12)(13,14)]); # Design 1885: autom. group order 2, simple, residual B[1885]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,9,12],[1,4,5,8,9,11,14],[1,4,6,10,11,12,14],[1,5,7,8,10,11,13],[1,6,7,9,11,13,14],[1,7,8,9,10,12,13],[2,3,7,9,10,11,14],[2,4,6,7,10,11,12],[2,4,6,8,9,13,14],[2,4,7,8,11,12,13],[2,5,6,7,8,9,10],[2,5,6,8,12,13,14],[2,5,9,10,11,12,14],[3,4,5,7,10,13,14],[3,4,5,9,11,12,13],[3,4,6,8,10,11,13],[3,4,7,8,9,12,14],[3,5,6,7,8,11,14],[3,5,6,9,10,12,13]]; G[1885]:=Group([(1,14)(2,7)(4,11)(5,9)(6,10)]); # Design 1886: autom. group order 2, simple, residual B[1886]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,10,12,14],[1,3,6,8,10,13,14],[1,4,5,6,7,9,13],[1,4,5,8,9,11,14],[1,4,6,10,11,12,14],[1,5,7,8,10,11,13],[1,6,7,9,11,12,14],[1,7,8,9,10,12,13],[2,3,7,9,10,11,14],[2,4,6,7,8,10,11],[2,4,6,8,9,13,14],[2,4,7,8,11,12,13],[2,5,6,7,9,10,12],[2,5,6,8,12,13,14],[2,5,9,10,11,13,14],[3,4,5,7,10,13,14],[3,4,5,9,11,12,13],[3,4,6,10,11,12,13],[3,4,7,8,9,12,14],[3,5,6,7,8,11,14],[3,5,6,8,9,10,12]]; G[1886]:=Group([(1,14)(2,7)(4,11)(5,9)(6,10)]); # Design 1887: autom. group order 2, simple B[1887]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,9,12],[1,4,5,8,9,11,14],[1,4,6,10,11,12,14],[1,5,7,8,10,11,13],[1,6,7,9,11,13,14],[1,7,8,9,10,12,13],[2,3,7,9,10,11,14],[2,4,6,7,8,10,11],[2,4,6,8,9,13,14],[2,4,7,8,11,12,13],[2,5,6,7,9,10,12],[2,5,6,8,12,13,14],[2,5,9,10,11,12,14],[3,4,5,7,10,13,14],[3,4,5,9,11,12,13],[3,4,6,10,11,12,13],[3,4,7,8,9,12,14],[3,5,6,7,8,11,14],[3,5,6,8,9,10,13]]; G[1887]:=Group([(1,14)(2,7)(4,11)(5,9)(6,10)]); # Design 1888: autom. group order 2, simple B[1888]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,10,12,14],[1,3,6,8,10,13,14],[1,4,5,6,7,8,9],[1,4,5,9,11,13,14],[1,4,6,10,11,12,14],[1,5,7,8,10,11,13],[1,6,7,9,11,12,14],[1,7,8,9,10,12,13],[2,3,7,9,10,11,14],[2,4,6,7,10,11,13],[2,4,6,8,9,13,14],[2,4,7,8,11,12,13],[2,5,6,7,9,10,12],[2,5,6,8,12,13,14],[2,5,8,9,10,11,14],[3,4,5,7,10,13,14],[3,4,5,9,11,12,13],[3,4,6,8,10,11,12],[3,4,7,8,9,12,14],[3,5,6,7,8,11,14],[3,5,6,9,10,12,13]]; G[1888]:=Group([(1,14)(2,7)(4,11)(5,9)(6,10)]); # Design 1889: autom. group order 2, simple, residual B[1889]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,8,10,14],[1,3,6,10,12,13,14],[1,4,5,6,7,9,12],[1,4,5,9,11,13,14],[1,4,6,10,11,12,14],[1,5,7,8,10,11,13],[1,6,7,8,9,11,14],[1,7,8,9,10,12,13],[2,3,7,9,10,11,14],[2,4,6,7,10,11,12],[2,4,6,8,9,13,14],[2,4,7,8,11,12,13],[2,5,6,7,9,10,13],[2,5,6,8,12,13,14],[2,5,9,10,11,12,14],[3,4,5,7,10,13,14],[3,4,5,9,11,12,13],[3,4,6,8,10,11,13],[3,4,7,8,9,12,14],[3,5,6,7,8,11,14],[3,5,6,8,9,10,12]]; G[1889]:=Group([(1,14)(2,7)(4,11)(5,9)(6,10)]); # Design 1890: autom. group order 2, simple B[1890]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,8,10,14],[1,3,6,10,12,13,14],[1,4,5,6,7,9,12],[1,4,5,9,11,13,14],[1,4,6,10,11,12,14],[1,5,7,8,10,11,13],[1,6,7,8,9,11,14],[1,7,8,9,10,12,13],[2,3,7,9,10,11,14],[2,4,6,7,10,11,13],[2,4,6,8,9,13,14],[2,4,7,8,11,12,13],[2,5,6,7,9,10,12],[2,5,6,8,12,13,14],[2,5,9,10,11,12,14],[3,4,5,7,10,13,14],[3,4,5,9,11,12,13],[3,4,6,8,10,11,12],[3,4,7,8,9,12,14],[3,5,6,7,8,11,14],[3,5,6,8,9,10,13]]; G[1890]:=Group([(1,14)(2,7)(4,11)(5,9)(6,10)]); # Design 1891: autom. group order 2, simple B[1891]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,7,11,13,14],[1,4,5,6,9,10,12],[1,4,5,10,11,13,14],[1,4,7,10,11,12,13],[1,5,7,8,9,12,14],[1,6,7,8,9,12,13],[1,6,8,9,10,11,14],[2,3,9,10,12,13,14],[2,4,6,7,8,10,11],[2,4,6,8,12,13,14],[2,4,6,9,11,12,14],[2,5,6,7,10,12,13],[2,5,7,8,9,11,13],[2,5,7,9,10,11,14],[3,4,5,6,7,9,14],[3,4,5,9,11,12,13],[3,4,7,8,9,10,13],[3,4,7,8,11,12,14],[3,5,6,8,10,11,12],[3,5,6,8,10,13,14]]; G[1891]:=Group([(1,2)(5,8)(6,10)(7,9)(11,12)(13,14)]); # Design 1892: autom. group order 2, simple, residual B[1892]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,7,11,13,14],[1,4,5,6,10,12,13],[1,4,5,9,10,11,14],[1,4,7,10,11,12,13],[1,5,7,8,9,12,14],[1,6,7,8,9,10,11],[1,6,8,9,12,13,14],[2,3,9,10,12,13,14],[2,4,6,7,8,12,13],[2,4,6,8,10,11,14],[2,4,6,9,11,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,11,13],[2,5,7,10,11,13,14],[3,4,5,6,7,9,14],[3,4,5,9,11,12,13],[3,4,7,8,9,10,13],[3,4,7,8,11,12,14],[3,5,6,8,10,11,12],[3,5,6,8,10,13,14]]; G[1892]:=Group([(1,2)(5,8)(6,10)(7,9)(11,12)(13,14)]); # Design 1893: autom. group order 2, simple B[1893]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,9,10,14],[1,3,6,8,10,12,14],[1,4,5,6,11,13,14],[1,4,5,10,11,12,13],[1,4,7,8,9,12,13],[1,5,7,8,9,13,14],[1,6,7,8,10,11,14],[1,6,7,9,10,11,12],[2,3,7,10,11,13,14],[2,4,6,7,8,12,13],[2,4,6,8,10,13,14],[2,4,6,9,11,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,11,14],[2,5,8,10,11,12,13],[3,4,5,6,7,8,11],[3,4,5,7,10,12,14],[3,4,7,9,10,11,13],[3,4,8,9,11,12,14],[3,5,6,8,9,10,13],[3,5,6,9,12,13,14]]; G[1893]:=Group([(1,12)(2,14)(4,9)(5,6)(7,13)(10,11)]); # Design 1894: autom. group order 2, simple, residual B[1894]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,11,13,14],[1,4,5,7,10,11,13],[1,4,5,9,11,12,14],[1,4,6,8,9,12,13],[1,5,6,7,9,10,14],[1,6,7,8,11,12,14],[1,7,8,9,10,12,13],[2,3,7,9,12,13,14],[2,4,6,7,11,12,13],[2,4,6,8,10,12,14],[2,4,6,9,10,11,14],[2,5,6,7,8,10,13],[2,5,7,8,9,11,14],[2,5,9,10,11,12,13],[3,4,5,6,7,9,12],[3,4,5,10,12,13,14],[3,4,7,8,9,10,11],[3,4,7,8,11,13,14],[3,5,6,8,9,13,14],[3,5,6,8,10,11,12]]; G[1894]:=Group([(1,2)(4,8)(6,12)(7,11)(9,10)(13,14)]); # Design 1895: autom. group order 2, simple B[1895]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,11,13,14],[1,4,5,7,11,12,13],[1,4,5,9,10,11,14],[1,4,6,8,9,12,13],[1,5,6,7,9,10,14],[1,6,7,8,10,12,13],[1,7,8,9,11,12,14],[2,3,7,9,12,13,14],[2,4,6,7,10,11,13],[2,4,6,8,10,12,14],[2,4,6,9,11,12,14],[2,5,6,7,8,11,14],[2,5,7,8,9,10,13],[2,5,9,10,11,12,13],[3,4,5,6,7,9,12],[3,4,5,10,12,13,14],[3,4,7,8,9,10,11],[3,4,7,8,11,13,14],[3,5,6,8,9,13,14],[3,5,6,8,10,11,12]]; G[1895]:=Group([(1,2)(4,8)(6,12)(7,11)(9,10)(13,14)]); # Design 1896: autom. group order 2, simple B[1896]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,13,14],[1,2,3,7,10,11,13],[1,2,4,5,11,12,14],[1,3,6,10,12,13,14],[1,4,5,7,9,12,13],[1,4,5,8,10,13,14],[1,4,6,8,9,11,13],[1,5,7,9,10,11,14],[1,6,7,8,9,10,12],[1,6,7,8,11,12,14],[2,3,7,8,9,12,14],[2,4,6,7,10,11,14],[2,4,6,9,10,11,12],[2,4,8,10,12,13,14],[2,5,6,7,8,13,14],[2,5,6,8,9,11,13],[2,5,7,9,10,12,13],[3,4,5,6,7,8,10],[3,4,5,6,9,12,14],[3,4,7,8,11,12,13],[3,4,7,9,11,13,14],[3,5,6,10,11,12,13],[3,5,8,9,10,11,14]]; G[1896]:=Group([(1,14)(2,9)(4,7)(5,11)(6,13)(10,12)]); # Design 1897: autom. group order 2, simple, residual B[1897]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,9,10,11,13,14],[1,4,5,6,9,12,14],[1,4,5,10,11,12,13],[1,4,6,7,10,11,14],[1,5,6,7,8,9,13],[1,6,7,8,10,12,13],[1,7,8,9,11,12,14],[2,3,6,7,12,13,14],[2,4,6,8,11,12,14],[2,4,6,9,10,12,13],[2,4,7,8,10,11,13],[2,5,6,9,10,11,14],[2,5,7,8,9,10,14],[2,5,7,9,11,12,13],[3,4,5,7,9,10,12],[3,4,5,7,11,13,14],[3,4,6,7,8,9,11],[3,4,8,9,12,13,14],[3,5,6,8,10,11,12],[3,5,6,8,10,13,14]]; G[1897]:=Group([(1,2)(5,8)(6,10)(7,9)(11,12)(13,14)]); # Design 1898: autom. group order 2, simple B[1898]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,9,10,11,13,14],[1,4,5,6,10,12,13],[1,4,5,9,11,12,14],[1,4,6,7,10,11,14],[1,5,6,7,8,9,13],[1,6,7,8,9,12,14],[1,7,8,10,11,12,13],[2,3,6,7,12,13,14],[2,4,6,8,10,11,14],[2,4,6,9,10,12,13],[2,4,7,8,11,12,13],[2,5,6,9,11,12,14],[2,5,7,8,9,10,14],[2,5,7,9,10,11,13],[3,4,5,7,9,10,12],[3,4,5,7,11,13,14],[3,4,6,7,8,9,11],[3,4,8,9,12,13,14],[3,5,6,8,10,11,12],[3,5,6,8,10,13,14]]; G[1898]:=Group([(1,2)(5,8)(6,10)(7,9)(11,12)(13,14)]); # Design 1899: autom. group order 2, simple B[1899]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,10,12,13,14],[1,2,4,5,7,13,14],[1,3,7,8,9,11,14],[1,4,5,6,8,9,12],[1,4,5,10,11,12,14],[1,4,6,8,10,13,14],[1,5,7,9,10,11,13],[1,6,7,8,11,12,14],[1,6,7,9,10,12,13],[2,3,6,7,10,12,14],[2,4,6,7,8,10,11],[2,4,6,9,11,12,13],[2,4,7,9,11,12,14],[2,5,6,8,9,10,14],[2,5,7,8,10,11,13],[2,5,8,9,12,13,14],[3,4,5,6,11,13,14],[3,4,5,7,9,10,12],[3,4,7,8,9,13,14],[3,4,8,10,11,12,13],[3,5,6,7,8,12,13],[3,5,6,9,10,11,14]]; G[1899]:=Group([(1,3)(4,12)(5,10)(6,13)(7,14)(9,11)]); # Design 1900: autom. group order 2, simple, residual B[1900]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,6,10,13],[1,3,7,8,10,11,13],[1,4,5,7,8,12,14],[1,4,6,9,11,12,13],[1,4,7,10,11,12,14],[1,5,6,8,9,13,14],[1,5,7,9,10,13,14],[1,6,8,9,10,11,12],[2,3,9,10,12,13,14],[2,4,5,8,9,10,12],[2,4,6,7,9,11,14],[2,4,7,8,9,11,13],[2,5,6,10,11,12,14],[2,5,7,8,11,12,13],[2,6,7,8,10,13,14],[3,4,5,8,10,11,14],[3,4,5,9,11,13,14],[3,4,6,7,10,12,13],[3,4,6,8,12,13,14],[3,5,6,7,8,9,12],[3,5,6,7,9,10,11]]; G[1900]:=Group([(1,3)(4,9)(5,12)(6,14)]); # Design 1901: autom. group order 2, simple, residual B[1901]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,6,10,13],[1,3,7,8,10,11,13],[1,4,5,7,8,12,14],[1,4,6,9,11,12,13],[1,4,7,10,12,13,14],[1,5,6,8,9,13,14],[1,5,7,9,10,11,14],[1,6,8,9,10,11,12],[2,3,9,10,12,13,14],[2,4,5,8,9,10,12],[2,4,6,7,9,11,14],[2,4,7,8,9,11,13],[2,5,6,10,11,12,14],[2,5,7,8,11,12,13],[2,6,7,8,10,13,14],[3,4,5,8,10,11,14],[3,4,5,9,11,13,14],[3,4,6,7,10,11,12],[3,4,6,8,12,13,14],[3,5,6,7,8,9,12],[3,5,6,7,9,10,13]]; G[1901]:=Group([(1,3)(4,9)(5,12)(6,14)]); # Design 1902: autom. group order 2, simple B[1902]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,6,10,13],[1,3,7,8,10,11,13],[1,4,5,7,8,12,14],[1,4,6,8,9,12,13],[1,4,7,10,11,12,14],[1,5,6,9,11,13,14],[1,5,7,9,10,13,14],[1,6,8,9,10,11,12],[2,3,9,10,12,13,14],[2,4,5,9,10,11,12],[2,4,6,7,9,11,14],[2,4,7,8,9,11,13],[2,5,6,8,10,12,14],[2,5,7,8,11,12,13],[2,6,7,8,10,13,14],[3,4,5,8,9,13,14],[3,4,5,8,10,11,14],[3,4,6,7,10,12,13],[3,4,6,11,12,13,14],[3,5,6,7,8,9,12],[3,5,6,7,9,10,11]]; G[1902]:=Group([(1,3)(4,9)(5,12)(6,14)]); # Design 1903: autom. group order 2, simple B[1903]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,6,10,13],[1,3,7,8,10,11,13],[1,4,5,7,8,12,14],[1,4,6,8,9,12,13],[1,4,7,10,12,13,14],[1,5,6,9,11,13,14],[1,5,7,9,10,11,14],[1,6,8,9,10,11,12],[2,3,9,10,12,13,14],[2,4,5,9,10,11,12],[2,4,6,7,9,11,14],[2,4,7,8,9,11,13],[2,5,6,8,10,12,14],[2,5,7,8,11,12,13],[2,6,7,8,10,13,14],[3,4,5,8,9,13,14],[3,4,5,8,10,11,14],[3,4,6,7,10,11,12],[3,4,6,11,12,13,14],[3,5,6,7,8,9,12],[3,5,6,7,9,10,13]]; G[1903]:=Group([(1,3)(4,9)(5,12)(6,14)]); # Design 1904: autom. group order 2, simple, residual B[1904]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,13,14],[1,2,3,7,10,11,13],[1,2,4,5,6,12,14],[1,3,7,8,9,12,14],[1,4,5,7,9,11,13],[1,4,6,9,10,11,12],[1,4,7,11,12,13,14],[1,5,6,8,10,12,13],[1,5,7,8,10,13,14],[1,6,8,9,10,11,14],[2,3,10,11,12,13,14],[2,4,5,8,10,11,14],[2,4,6,7,8,10,13],[2,4,7,9,10,12,14],[2,5,6,9,11,13,14],[2,5,7,8,9,11,12],[2,6,7,8,9,12,13],[3,4,5,8,9,13,14],[3,4,5,9,10,12,13],[3,4,6,7,8,11,14],[3,4,6,8,11,12,13],[3,5,6,7,9,10,11],[3,5,6,7,10,12,14]]; G[1904]:=Group([(1,3)(4,10)(5,11)(6,13)]); # Design 1905: autom. group order 2, simple, residual B[1905]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,13,14],[1,2,3,7,10,11,13],[1,2,4,5,6,12,14],[1,3,7,8,9,12,14],[1,4,5,7,9,11,13],[1,4,6,9,10,11,12],[1,4,7,8,11,13,14],[1,5,6,8,10,12,13],[1,5,7,10,12,13,14],[1,6,8,9,10,11,14],[2,3,10,11,12,13,14],[2,4,5,8,10,11,14],[2,4,6,7,8,10,13],[2,4,7,9,10,12,14],[2,5,6,9,11,13,14],[2,5,7,8,9,11,12],[2,6,7,8,9,12,13],[3,4,5,8,9,13,14],[3,4,5,9,10,12,13],[3,4,6,7,11,12,14],[3,4,6,8,11,12,13],[3,5,6,7,8,10,14],[3,5,6,7,9,10,11]]; G[1905]:=Group([(1,3)(4,10)(5,11)(6,13)]); # Design 1906: autom. group order 2, simple B[1906]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,13,14],[1,2,3,7,10,11,13],[1,2,4,5,6,12,14],[1,3,7,8,9,12,14],[1,4,5,7,9,11,13],[1,4,6,8,10,11,12],[1,4,7,11,12,13,14],[1,5,6,9,10,12,13],[1,5,7,8,10,13,14],[1,6,8,9,10,11,14],[2,3,10,11,12,13,14],[2,4,5,9,10,11,14],[2,4,6,7,8,10,13],[2,4,7,9,10,12,14],[2,5,6,8,11,13,14],[2,5,7,8,9,11,12],[2,6,7,8,9,12,13],[3,4,5,8,9,13,14],[3,4,5,8,10,12,13],[3,4,6,7,8,11,14],[3,4,6,9,11,12,13],[3,5,6,7,9,10,11],[3,5,6,7,10,12,14]]; G[1906]:=Group([(1,3)(4,10)(5,11)(6,13)]); # Design 1907: autom. group order 2, simple, residual B[1907]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,11,13,14],[1,2,3,7,9,12,13],[1,2,4,5,6,10,14],[1,3,7,8,10,11,14],[1,4,5,7,10,12,13],[1,4,6,8,9,11,12],[1,4,7,11,12,13,14],[1,5,6,9,10,11,13],[1,5,7,8,9,13,14],[1,6,8,9,10,12,14],[2,3,9,10,12,13,14],[2,4,5,9,11,12,14],[2,4,6,7,8,9,13],[2,4,7,9,10,11,14],[2,5,6,8,12,13,14],[2,5,7,8,10,11,12],[2,6,7,8,10,11,13],[3,4,5,8,9,11,13],[3,4,5,8,10,13,14],[3,4,6,7,8,12,14],[3,4,6,10,11,12,13],[3,5,6,7,9,10,12],[3,5,6,7,9,11,14]]; G[1907]:=Group([(1,3)(4,9)(5,12)(6,13)]); # Design 1908: autom. group order 2, simple, residual B[1908]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,11,13,14],[1,2,3,7,9,12,13],[1,2,4,5,6,10,14],[1,3,7,8,10,11,14],[1,4,5,7,12,13,14],[1,4,6,8,9,12,14],[1,4,7,10,11,12,13],[1,5,6,8,9,11,13],[1,5,7,8,9,10,13],[1,6,9,10,11,12,14],[2,3,9,10,12,13,14],[2,4,5,9,10,11,12],[2,4,6,7,9,11,13],[2,4,7,8,9,11,14],[2,5,6,8,10,12,13],[2,5,7,8,11,12,14],[2,6,7,8,10,13,14],[3,4,5,8,9,13,14],[3,4,5,10,11,13,14],[3,4,6,7,8,10,12],[3,4,6,8,11,12,13],[3,5,6,7,9,10,11],[3,5,6,7,9,12,14]]; G[1908]:=Group([(1,3)(4,9)(5,12)(6,13)]); # Design 1909: autom. group order 2, simple B[1909]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,13,14],[1,2,3,7,10,11,13],[1,2,4,5,6,12,14],[1,3,7,8,9,12,14],[1,4,5,7,9,11,13],[1,4,6,8,10,11,12],[1,4,7,8,11,13,14],[1,5,6,9,10,12,13],[1,5,7,10,12,13,14],[1,6,8,9,10,11,14],[2,3,10,11,12,13,14],[2,4,5,9,10,11,14],[2,4,6,7,8,10,13],[2,4,7,9,10,12,14],[2,5,6,8,11,13,14],[2,5,7,8,9,11,12],[2,6,7,8,9,12,13],[3,4,5,8,9,13,14],[3,4,5,8,10,12,13],[3,4,6,7,11,12,14],[3,4,6,9,11,12,13],[3,5,6,7,8,10,14],[3,5,6,7,9,10,11]]; G[1909]:=Group([(1,3)(4,10)(5,11)(6,13)]); # Design 1910: autom. group order 2, simple, residual B[1910]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,11,13,14],[1,2,3,7,9,12,13],[1,2,4,5,6,10,14],[1,3,7,8,10,11,14],[1,4,5,7,10,12,13],[1,4,6,8,9,11,12],[1,4,7,8,12,13,14],[1,5,6,9,10,11,13],[1,5,7,9,11,13,14],[1,6,8,9,10,12,14],[2,3,9,10,12,13,14],[2,4,5,9,11,12,14],[2,4,6,7,8,9,13],[2,4,7,9,10,11,14],[2,5,6,8,12,13,14],[2,5,7,8,10,11,12],[2,6,7,8,10,11,13],[3,4,5,8,9,11,13],[3,4,5,8,10,13,14],[3,4,6,7,11,12,14],[3,4,6,10,11,12,13],[3,5,6,7,8,9,14],[3,5,6,7,9,10,12]]; G[1910]:=Group([(1,3)(4,9)(5,12)(6,13)]); # Design 1911: autom. group order 2, simple, residual B[1911]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,11,13,14],[1,2,3,7,9,12,13],[1,2,4,5,6,10,14],[1,3,7,8,10,11,14],[1,4,5,7,12,13,14],[1,4,6,8,9,12,14],[1,4,7,8,10,12,13],[1,5,6,8,9,11,13],[1,5,7,9,10,11,13],[1,6,9,10,11,12,14],[2,3,9,10,12,13,14],[2,4,5,9,10,11,12],[2,4,6,7,9,11,13],[2,4,7,8,9,11,14],[2,5,6,8,10,12,13],[2,5,7,8,11,12,14],[2,6,7,8,10,13,14],[3,4,5,8,9,13,14],[3,4,5,10,11,13,14],[3,4,6,7,10,11,12],[3,4,6,8,11,12,13],[3,5,6,7,8,9,10],[3,5,6,7,9,12,14]]; G[1911]:=Group([(1,3)(4,9)(5,12)(6,13)]); # Design 1912: autom. group order 2, simple, residual B[1912]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,6,10,13],[1,3,7,8,10,11,13],[1,4,5,7,8,12,14],[1,4,6,9,11,12,13],[1,4,7,10,11,12,14],[1,5,6,8,9,13,14],[1,5,8,9,10,11,14],[1,6,7,9,10,12,13],[2,3,9,10,12,13,14],[2,4,5,8,9,10,12],[2,4,6,7,9,11,14],[2,4,7,8,9,11,13],[2,5,6,10,11,12,14],[2,5,7,8,11,12,13],[2,6,7,8,10,13,14],[3,4,5,7,10,13,14],[3,4,5,9,11,13,14],[3,4,6,8,10,11,12],[3,4,6,8,12,13,14],[3,5,6,7,8,9,12],[3,5,6,7,9,10,11]]; G[1912]:=Group([(1,3)(4,9)(5,12)(6,14)]); # Design 1913: autom. group order 2, simple, residual B[1913]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,6,10,13],[1,3,7,8,10,11,13],[1,4,5,7,8,12,14],[1,4,6,9,11,12,13],[1,4,7,10,12,13,14],[1,5,6,8,9,13,14],[1,5,8,9,10,11,14],[1,6,7,9,10,11,12],[2,3,9,10,12,13,14],[2,4,5,8,9,10,12],[2,4,6,7,9,11,14],[2,4,7,8,9,11,13],[2,5,6,10,11,12,14],[2,5,7,8,11,12,13],[2,6,7,8,10,13,14],[3,4,5,7,10,11,14],[3,4,5,9,11,13,14],[3,4,6,8,10,11,12],[3,4,6,8,12,13,14],[3,5,6,7,8,9,12],[3,5,6,7,9,10,13]]; G[1913]:=Group([(1,3)(4,9)(5,12)(6,14)]); # Design 1914: autom. group order 2, simple B[1914]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,6,10,13],[1,3,7,8,10,11,13],[1,4,5,7,8,12,14],[1,4,6,8,9,12,13],[1,4,7,10,11,12,14],[1,5,6,9,11,13,14],[1,5,8,9,10,11,14],[1,6,7,9,10,12,13],[2,3,9,10,12,13,14],[2,4,5,9,10,11,12],[2,4,6,7,9,11,14],[2,4,7,8,9,11,13],[2,5,6,8,10,12,14],[2,5,7,8,11,12,13],[2,6,7,8,10,13,14],[3,4,5,7,10,13,14],[3,4,5,8,9,13,14],[3,4,6,8,10,11,12],[3,4,6,11,12,13,14],[3,5,6,7,8,9,12],[3,5,6,7,9,10,11]]; G[1914]:=Group([(1,3)(4,9)(5,12)(6,14)]); # Design 1915: autom. group order 2, simple B[1915]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,6,10,13],[1,3,7,8,10,11,13],[1,4,5,7,8,12,14],[1,4,6,8,9,12,13],[1,4,7,10,12,13,14],[1,5,6,9,11,13,14],[1,5,8,9,10,11,14],[1,6,7,9,10,11,12],[2,3,9,10,12,13,14],[2,4,5,9,10,11,12],[2,4,6,7,9,11,14],[2,4,7,8,9,11,13],[2,5,6,8,10,12,14],[2,5,7,8,11,12,13],[2,6,7,8,10,13,14],[3,4,5,7,10,11,14],[3,4,5,8,9,13,14],[3,4,6,8,10,11,12],[3,4,6,11,12,13,14],[3,5,6,7,8,9,12],[3,5,6,7,9,10,13]]; G[1915]:=Group([(1,3)(4,9)(5,12)(6,14)]); # Design 1916: autom. group order 2, simple, residual B[1916]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,13,14],[1,2,3,7,10,11,13],[1,2,4,5,6,12,14],[1,3,7,8,9,12,14],[1,4,5,7,9,11,13],[1,4,6,9,10,11,12],[1,4,7,11,12,13,14],[1,5,6,8,10,12,13],[1,5,8,9,10,13,14],[1,6,7,8,10,11,14],[2,3,10,11,12,13,14],[2,4,5,8,10,11,14],[2,4,6,7,8,10,13],[2,4,7,9,10,12,14],[2,5,6,9,11,13,14],[2,5,7,8,9,11,12],[2,6,7,8,9,12,13],[3,4,5,7,8,13,14],[3,4,5,9,10,12,13],[3,4,6,8,9,11,14],[3,4,6,8,11,12,13],[3,5,6,7,9,10,11],[3,5,6,7,10,12,14]]; G[1916]:=Group([(1,3)(4,10)(5,11)(6,13)]); # Design 1917: autom. group order 2, simple, residual B[1917]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,6,13,14],[1,3,7,8,12,13,14],[1,4,5,7,9,10,13],[1,4,6,9,11,12,14],[1,4,7,8,11,13,14],[1,5,6,8,10,11,14],[1,5,9,10,11,12,13],[1,6,7,8,9,10,12],[2,3,9,10,11,13,14],[2,4,5,8,9,12,14],[2,4,6,7,10,11,12],[2,4,7,8,10,11,13],[2,5,6,8,10,12,13],[2,5,7,8,9,11,14],[2,6,7,9,12,13,14],[3,4,5,7,9,11,12],[3,4,5,10,12,13,14],[3,4,6,8,9,10,14],[3,4,6,8,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,11,14]]; G[1917]:=Group([(1,14)(2,10)(4,11)(8,13)]); # Design 1918: autom. group order 2, simple, residual B[1918]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,13,14],[1,2,3,7,10,11,13],[1,2,4,5,6,12,14],[1,3,7,8,9,12,14],[1,4,5,7,9,11,13],[1,4,6,9,10,11,12],[1,4,7,8,11,13,14],[1,5,6,8,10,12,13],[1,5,8,9,10,13,14],[1,6,7,10,11,12,14],[2,3,10,11,12,13,14],[2,4,5,8,10,11,14],[2,4,6,7,8,10,13],[2,4,7,9,10,12,14],[2,5,6,9,11,13,14],[2,5,7,8,9,11,12],[2,6,7,8,9,12,13],[3,4,5,7,12,13,14],[3,4,5,9,10,12,13],[3,4,6,8,9,11,14],[3,4,6,8,11,12,13],[3,5,6,7,8,10,14],[3,5,6,7,9,10,11]]; G[1918]:=Group([(1,3)(4,10)(5,11)(6,13)]); # Design 1919: autom. group order 2, simple B[1919]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,13,14],[1,2,3,7,10,11,13],[1,2,4,5,6,12,14],[1,3,7,8,9,12,14],[1,4,5,7,9,11,13],[1,4,6,8,10,11,12],[1,4,7,11,12,13,14],[1,5,6,9,10,12,13],[1,5,8,9,10,13,14],[1,6,7,8,10,11,14],[2,3,10,11,12,13,14],[2,4,5,9,10,11,14],[2,4,6,7,8,10,13],[2,4,7,9,10,12,14],[2,5,6,8,11,13,14],[2,5,7,8,9,11,12],[2,6,7,8,9,12,13],[3,4,5,7,8,13,14],[3,4,5,8,10,12,13],[3,4,6,8,9,11,14],[3,4,6,9,11,12,13],[3,5,6,7,9,10,11],[3,5,6,7,10,12,14]]; G[1919]:=Group([(1,3)(4,10)(5,11)(6,13)]); # Design 1920: autom. group order 2, simple, residual B[1920]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,11,13,14],[1,2,3,7,9,12,13],[1,2,4,5,6,10,14],[1,3,7,8,10,11,14],[1,4,5,7,10,12,13],[1,4,6,8,9,11,12],[1,4,7,11,12,13,14],[1,5,6,9,10,11,13],[1,5,8,9,10,13,14],[1,6,7,8,9,12,14],[2,3,9,10,12,13,14],[2,4,5,9,11,12,14],[2,4,6,7,8,9,13],[2,4,7,9,10,11,14],[2,5,6,8,12,13,14],[2,5,7,8,10,11,12],[2,6,7,8,10,11,13],[3,4,5,7,8,13,14],[3,4,5,8,9,11,13],[3,4,6,8,10,12,14],[3,4,6,10,11,12,13],[3,5,6,7,9,10,12],[3,5,6,7,9,11,14]]; G[1920]:=Group([(1,3)(4,9)(5,12)(6,13)]); # Design 1921: autom. group order 2, simple, residual B[1921]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,11,13,14],[1,2,3,7,9,12,13],[1,2,4,5,6,10,14],[1,3,7,8,10,11,14],[1,4,5,7,12,13,14],[1,4,6,8,9,12,14],[1,4,7,10,11,12,13],[1,5,6,8,9,11,13],[1,5,9,10,11,13,14],[1,6,7,8,9,10,12],[2,3,9,10,12,13,14],[2,4,5,9,10,11,12],[2,4,6,7,9,11,13],[2,4,7,8,9,11,14],[2,5,6,8,10,12,13],[2,5,7,8,11,12,14],[2,6,7,8,10,13,14],[3,4,5,7,8,10,13],[3,4,5,8,9,13,14],[3,4,6,8,11,12,13],[3,4,6,10,11,12,14],[3,5,6,7,9,10,11],[3,5,6,7,9,12,14]]; G[1921]:=Group([(1,3)(4,9)(5,12)(6,13)]); # Design 1922: autom. group order 2, simple B[1922]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,13,14],[1,2,3,7,10,11,13],[1,2,4,5,6,12,14],[1,3,7,8,9,12,14],[1,4,5,7,9,11,13],[1,4,6,8,10,11,12],[1,4,7,8,11,13,14],[1,5,6,9,10,12,13],[1,5,8,9,10,13,14],[1,6,7,10,11,12,14],[2,3,10,11,12,13,14],[2,4,5,9,10,11,14],[2,4,6,7,8,10,13],[2,4,7,9,10,12,14],[2,5,6,8,11,13,14],[2,5,7,8,9,11,12],[2,6,7,8,9,12,13],[3,4,5,7,12,13,14],[3,4,5,8,10,12,13],[3,4,6,8,9,11,14],[3,4,6,9,11,12,13],[3,5,6,7,8,10,14],[3,5,6,7,9,10,11]]; G[1922]:=Group([(1,3)(4,10)(5,11)(6,13)]); # Design 1923: autom. group order 2, simple, residual B[1923]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,11,13,14],[1,2,3,7,9,12,13],[1,2,4,5,6,10,14],[1,3,7,8,10,11,14],[1,4,5,7,10,12,13],[1,4,6,8,9,11,12],[1,4,7,8,12,13,14],[1,5,6,9,10,11,13],[1,5,8,9,10,13,14],[1,6,7,9,11,12,14],[2,3,9,10,12,13,14],[2,4,5,9,11,12,14],[2,4,6,7,8,9,13],[2,4,7,9,10,11,14],[2,5,6,8,12,13,14],[2,5,7,8,10,11,12],[2,6,7,8,10,11,13],[3,4,5,7,11,13,14],[3,4,5,8,9,11,13],[3,4,6,8,10,12,14],[3,4,6,10,11,12,13],[3,5,6,7,8,9,14],[3,5,6,7,9,10,12]]; G[1923]:=Group([(1,3)(4,9)(5,12)(6,13)]); # Design 1924: autom. group order 2, simple, residual B[1924]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,11,13,14],[1,2,3,7,9,12,13],[1,2,4,5,6,10,14],[1,3,7,8,10,11,14],[1,4,5,7,12,13,14],[1,4,6,8,9,12,14],[1,4,7,8,10,12,13],[1,5,6,8,9,11,13],[1,5,9,10,11,13,14],[1,6,7,9,10,11,12],[2,3,9,10,12,13,14],[2,4,5,9,10,11,12],[2,4,6,7,9,11,13],[2,4,7,8,9,11,14],[2,5,6,8,10,12,13],[2,5,7,8,11,12,14],[2,6,7,8,10,13,14],[3,4,5,7,10,11,13],[3,4,5,8,9,13,14],[3,4,6,8,11,12,13],[3,4,6,10,11,12,14],[3,5,6,7,8,9,10],[3,5,6,7,9,12,14]]; G[1924]:=Group([(1,3)(4,9)(5,12)(6,13)]); # Design 1925: autom. group order 2, simple, residual B[1925]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,6,10,13],[1,3,7,8,10,11,13],[1,4,5,7,9,11,14],[1,4,6,10,11,12,14],[1,4,7,10,12,13,14],[1,5,6,8,9,10,12],[1,5,8,9,11,13,14],[1,6,7,8,9,12,13],[2,3,9,10,12,13,14],[2,4,5,9,11,12,13],[2,4,6,8,9,13,14],[2,4,7,8,9,10,11],[2,5,6,7,8,12,14],[2,5,7,8,10,11,12],[2,6,7,10,11,13,14],[3,4,5,7,8,13,14],[3,4,5,8,10,12,14],[3,4,6,7,9,11,12],[3,4,6,8,11,12,13],[3,5,6,7,9,10,13],[3,5,6,9,10,11,14]]; G[1925]:=Group([(1,3)(4,9)(5,12)(6,14)]); # Design 1926: autom. group order 2, simple, residual B[1926]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,6,10,13],[1,3,7,8,10,11,13],[1,4,5,7,9,11,14],[1,4,6,10,11,12,14],[1,4,7,8,12,13,14],[1,5,6,8,9,10,12],[1,5,8,9,11,13,14],[1,6,7,9,10,12,13],[2,3,9,10,12,13,14],[2,4,5,9,11,12,13],[2,4,6,8,9,13,14],[2,4,7,8,9,10,11],[2,5,6,7,8,12,14],[2,5,7,8,10,11,12],[2,6,7,10,11,13,14],[3,4,5,7,10,13,14],[3,4,5,8,10,12,14],[3,4,6,7,9,11,12],[3,4,6,8,11,12,13],[3,5,6,7,8,9,13],[3,5,6,9,10,11,14]]; G[1926]:=Group([(1,3)(4,9)(5,12)(6,14)]); # Design 1927: autom. group order 2, simple B[1927]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,6,10,13],[1,3,7,8,10,11,13],[1,4,5,7,9,11,14],[1,4,6,8,10,12,14],[1,4,7,10,12,13,14],[1,5,6,9,10,11,12],[1,5,8,9,11,13,14],[1,6,7,8,9,12,13],[2,3,9,10,12,13,14],[2,4,5,8,9,12,13],[2,4,6,9,11,13,14],[2,4,7,8,9,10,11],[2,5,6,7,8,12,14],[2,5,7,8,10,11,12],[2,6,7,10,11,13,14],[3,4,5,7,8,13,14],[3,4,5,10,11,12,14],[3,4,6,7,9,11,12],[3,4,6,8,11,12,13],[3,5,6,7,9,10,13],[3,5,6,8,9,10,14]]; G[1927]:=Group([(1,3)(4,9)(5,12)(6,14)]); # Design 1928: autom. group order 2, simple B[1928]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,6,10,13],[1,3,7,8,10,11,13],[1,4,5,7,9,11,14],[1,4,6,8,10,12,14],[1,4,7,8,12,13,14],[1,5,6,9,10,11,12],[1,5,8,9,11,13,14],[1,6,7,9,10,12,13],[2,3,9,10,12,13,14],[2,4,5,8,9,12,13],[2,4,6,9,11,13,14],[2,4,7,8,9,10,11],[2,5,6,7,8,12,14],[2,5,7,8,10,11,12],[2,6,7,10,11,13,14],[3,4,5,7,10,13,14],[3,4,5,10,11,12,14],[3,4,6,7,9,11,12],[3,4,6,8,11,12,13],[3,5,6,7,8,9,13],[3,5,6,8,9,10,14]]; G[1928]:=Group([(1,3)(4,9)(5,12)(6,14)]); # Design 1929: autom. group order 2, simple, residual B[1929]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,13,14],[1,2,3,7,10,11,13],[1,2,4,5,6,12,14],[1,3,7,8,9,12,14],[1,4,5,7,10,12,13],[1,4,6,9,11,12,13],[1,4,7,9,11,13,14],[1,5,6,8,9,10,11],[1,5,8,10,12,13,14],[1,6,7,8,10,11,14],[2,3,10,11,12,13,14],[2,4,5,9,10,11,14],[2,4,6,8,10,13,14],[2,4,7,8,9,10,12],[2,5,6,7,8,11,13],[2,5,7,9,11,12,14],[2,6,7,8,9,12,13],[3,4,5,7,8,13,14],[3,4,5,8,9,11,13],[3,4,6,7,10,11,12],[3,4,6,8,11,12,14],[3,5,6,7,9,10,14],[3,5,6,9,10,12,13]]; G[1929]:=Group([(1,3)(4,10)(5,11)(6,13)]); # Design 1930: autom. group order 2, simple B[1930]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,11,13,14],[1,2,3,7,9,12,13],[1,2,4,5,6,10,14],[1,3,7,8,10,11,14],[1,4,5,7,9,11,13],[1,4,6,10,11,12,13],[1,4,7,10,12,13,14],[1,5,6,8,9,10,12],[1,5,8,9,11,13,14],[1,6,7,8,9,12,14],[2,3,9,10,12,13,14],[2,4,5,9,11,12,14],[2,4,6,8,9,13,14],[2,4,7,8,9,10,11],[2,5,6,7,8,12,13],[2,5,7,10,11,12,14],[2,6,7,8,10,11,13],[3,4,5,7,8,13,14],[3,4,5,8,10,12,13],[3,4,6,7,9,11,12],[3,4,6,8,11,12,14],[3,5,6,7,9,10,14],[3,5,6,9,10,11,13]]; G[1930]:=Group([(1,3)(4,9)(5,12)(6,13)]); # Design 1931: autom. group order 2, simple, residual B[1931]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,13,14],[1,2,3,7,10,11,13],[1,2,4,5,6,12,14],[1,3,7,8,9,12,14],[1,4,5,7,10,12,13],[1,4,6,9,11,12,13],[1,4,7,8,11,13,14],[1,5,6,8,9,10,11],[1,5,8,10,12,13,14],[1,6,7,9,10,11,14],[2,3,10,11,12,13,14],[2,4,5,9,10,11,14],[2,4,6,8,10,13,14],[2,4,7,8,9,10,12],[2,5,6,7,8,11,13],[2,5,7,9,11,12,14],[2,6,7,8,9,12,13],[3,4,5,7,9,13,14],[3,4,5,8,9,11,13],[3,4,6,7,10,11,12],[3,4,6,8,11,12,14],[3,5,6,7,8,10,14],[3,5,6,9,10,12,13]]; G[1931]:=Group([(1,3)(4,10)(5,11)(6,13)]); # Design 1932: autom. group order 2, simple B[1932]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,11,13,14],[1,2,3,7,9,12,13],[1,2,4,5,6,10,14],[1,3,7,8,10,11,14],[1,4,5,7,9,11,13],[1,4,6,10,11,12,13],[1,4,7,8,12,13,14],[1,5,6,8,9,10,12],[1,5,8,9,11,13,14],[1,6,7,9,10,12,14],[2,3,9,10,12,13,14],[2,4,5,9,11,12,14],[2,4,6,8,9,13,14],[2,4,7,8,9,10,11],[2,5,6,7,8,12,13],[2,5,7,10,11,12,14],[2,6,7,8,10,11,13],[3,4,5,7,10,13,14],[3,4,5,8,10,12,13],[3,4,6,7,9,11,12],[3,4,6,8,11,12,14],[3,5,6,7,8,9,14],[3,5,6,9,10,11,13]]; G[1932]:=Group([(1,3)(4,9)(5,12)(6,13)]); # Design 1933: autom. group order 2, simple, residual B[1933]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,11,13,14],[1,2,3,7,9,12,13],[1,2,4,5,6,10,14],[1,3,7,8,10,11,14],[1,4,5,7,9,11,13],[1,4,6,8,10,12,13],[1,4,7,10,12,13,14],[1,5,6,9,10,11,12],[1,5,8,9,11,13,14],[1,6,7,8,9,12,14],[2,3,9,10,12,13,14],[2,4,5,8,9,12,14],[2,4,6,9,11,13,14],[2,4,7,8,9,10,11],[2,5,6,7,8,12,13],[2,5,7,10,11,12,14],[2,6,7,8,10,11,13],[3,4,5,7,8,13,14],[3,4,5,10,11,12,13],[3,4,6,7,9,11,12],[3,4,6,8,11,12,14],[3,5,6,7,9,10,14],[3,5,6,8,9,10,13]]; G[1933]:=Group([(1,3)(4,9)(5,12)(6,13)]); # Design 1934: autom. group order 2, simple, residual B[1934]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,13,14],[1,2,3,7,10,11,13],[1,2,4,5,6,12,14],[1,3,7,8,9,12,14],[1,4,5,7,10,13,14],[1,4,6,8,9,11,13],[1,4,7,9,11,12,13],[1,5,6,8,10,11,14],[1,5,9,10,12,13,14],[1,6,7,8,10,11,12],[2,3,10,11,12,13,14],[2,4,5,9,10,11,12],[2,4,6,8,10,12,13],[2,4,7,8,9,10,14],[2,5,6,7,9,11,13],[2,5,7,8,9,11,14],[2,6,7,8,12,13,14],[3,4,5,7,8,12,13],[3,4,5,8,11,13,14],[3,4,6,7,10,11,14],[3,4,6,9,11,12,14],[3,5,6,7,9,10,12],[3,5,6,8,9,10,13]]; G[1934]:=Group([(1,3)(4,10)(5,11)(6,13)]); # Design 1935: autom. group order 2, simple, residual B[1935]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,11,13,14],[1,2,3,7,9,12,13],[1,2,4,5,6,10,14],[1,3,7,8,10,11,14],[1,4,5,7,9,11,13],[1,4,6,8,10,12,13],[1,4,7,8,12,13,14],[1,5,6,9,10,11,12],[1,5,8,9,11,13,14],[1,6,7,9,10,12,14],[2,3,9,10,12,13,14],[2,4,5,8,9,12,14],[2,4,6,9,11,13,14],[2,4,7,8,9,10,11],[2,5,6,7,8,12,13],[2,5,7,10,11,12,14],[2,6,7,8,10,11,13],[3,4,5,7,10,13,14],[3,4,5,10,11,12,13],[3,4,6,7,9,11,12],[3,4,6,8,11,12,14],[3,5,6,7,8,9,14],[3,5,6,8,9,10,13]]; G[1935]:=Group([(1,3)(4,9)(5,12)(6,13)]); # Design 1936: autom. group order 2, simple, residual B[1936]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,13,14],[1,2,3,7,10,11,13],[1,2,4,5,6,12,14],[1,3,7,8,9,12,14],[1,4,5,7,10,13,14],[1,4,6,8,9,11,13],[1,4,7,8,11,12,13],[1,5,6,8,10,11,14],[1,5,9,10,12,13,14],[1,6,7,9,10,11,12],[2,3,10,11,12,13,14],[2,4,5,9,10,11,12],[2,4,6,8,10,12,13],[2,4,7,8,9,10,14],[2,5,6,7,9,11,13],[2,5,7,8,9,11,14],[2,6,7,8,12,13,14],[3,4,5,7,9,12,13],[3,4,5,8,11,13,14],[3,4,6,7,10,11,14],[3,4,6,9,11,12,14],[3,5,6,7,8,10,12],[3,5,6,8,9,10,13]]; G[1936]:=Group([(1,3)(4,10)(5,11)(6,13)]); # Design 1937: autom. group order 2, simple, residual B[1937]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,6,12,14],[1,3,7,9,12,13,14],[1,4,5,8,11,13,14],[1,4,6,8,10,12,13],[1,4,7,9,11,12,14],[1,5,6,9,10,11,14],[1,5,7,8,9,10,13],[1,6,7,8,10,11,12],[2,3,8,10,11,12,14],[2,4,5,7,10,11,13],[2,4,6,7,8,9,14],[2,4,7,9,10,11,12],[2,5,6,9,10,12,13],[2,5,7,8,12,13,14],[2,6,8,9,11,13,14],[3,4,5,8,9,10,14],[3,4,5,9,11,12,13],[3,4,6,7,8,11,13],[3,4,6,10,12,13,14],[3,5,6,7,8,9,12],[3,5,6,7,10,11,14]]; G[1937]:=Group([(1,14)(2,10)(4,11)(9,12)]); # Design 1938: autom. group order 2, simple B[1938]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,10,12,13,14],[1,2,4,5,6,7,14],[1,3,7,8,9,11,14],[1,4,5,10,11,13,14],[1,4,6,8,12,13,14],[1,4,7,8,10,11,12],[1,5,6,9,10,12,14],[1,5,7,8,9,10,13],[1,6,7,9,11,12,13],[2,3,7,10,12,13,14],[2,4,5,9,11,12,13],[2,4,6,8,9,10,13],[2,4,7,9,11,12,14],[2,5,6,8,10,11,12],[2,5,7,8,9,13,14],[2,6,7,8,10,11,14],[3,4,5,7,10,11,13],[3,4,5,8,9,12,14],[3,4,6,7,8,12,13],[3,4,6,9,10,11,14],[3,5,6,7,9,10,12],[3,5,6,8,11,13,14]]; G[1938]:=Group([(1,7)(3,14)(5,6)(8,11)(10,12)]); # Design 1939: autom. group order 2, simple, residual B[1939]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,10,12,13,14],[1,2,4,5,6,7,14],[1,3,7,8,9,11,14],[1,4,5,10,11,13,14],[1,4,6,8,10,12,14],[1,4,7,8,11,12,13],[1,5,6,9,12,13,14],[1,5,7,8,9,10,13],[1,6,7,9,10,11,12],[2,3,7,10,12,13,14],[2,4,5,9,11,12,13],[2,4,6,8,10,11,13],[2,4,7,9,10,11,14],[2,5,6,8,9,10,12],[2,5,7,8,11,12,14],[2,6,7,8,9,13,14],[3,4,5,7,9,10,12],[3,4,5,8,9,13,14],[3,4,6,7,8,12,13],[3,4,6,9,11,12,14],[3,5,6,7,10,11,13],[3,5,6,8,10,11,14]]; G[1939]:=Group([(1,14)(3,7)(4,10)(5,12)(6,13)(8,11)]); # Design 1940: autom. group order 2, simple B[1940]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,10,12,13,14],[1,2,4,5,6,7,14],[1,3,7,8,9,11,14],[1,4,5,10,11,13,14],[1,4,6,8,10,12,14],[1,4,7,8,11,12,13],[1,5,6,9,12,13,14],[1,5,7,8,9,10,13],[1,6,7,9,10,11,12],[2,3,7,10,12,13,14],[2,4,5,9,11,12,13],[2,4,6,8,10,11,13],[2,4,7,8,9,13,14],[2,5,6,8,9,10,12],[2,5,7,9,10,11,14],[2,6,7,8,11,12,14],[3,4,5,7,10,11,12],[3,4,5,8,9,12,14],[3,4,6,7,9,12,13],[3,4,6,9,10,11,14],[3,5,6,7,8,10,13],[3,5,6,8,11,13,14]]; G[1940]:=Group([(1,14)(3,7)(4,12)(5,13)(6,10)(9,11)]); # Design 1941: autom. group order 2, simple B[1941]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,10,12,13,14],[1,2,4,5,6,7,14],[1,3,7,8,9,11,14],[1,4,5,10,11,13,14],[1,4,6,8,12,13,14],[1,4,7,8,9,12,13],[1,5,6,9,10,12,14],[1,5,7,8,10,11,13],[1,6,7,9,10,11,12],[2,3,7,10,12,13,14],[2,4,5,9,10,11,13],[2,4,6,8,10,11,12],[2,4,7,8,9,10,14],[2,5,6,8,9,12,13],[2,5,7,8,11,12,14],[2,6,7,9,11,13,14],[3,4,5,7,9,12,13],[3,4,5,9,11,12,14],[3,4,6,7,10,11,12],[3,4,6,8,11,13,14],[3,5,6,7,8,10,13],[3,5,6,8,9,10,14]]; G[1941]:=Group([(1,7)(3,14)(5,6)(8,9)(12,13)]); # Design 1942: autom. group order 2, simple B[1942]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,10,12,13,14],[1,2,4,5,6,7,14],[1,3,7,8,9,11,14],[1,4,5,10,11,13,14],[1,4,6,8,12,13,14],[1,4,7,8,11,12,13],[1,5,6,9,10,12,14],[1,5,7,8,9,10,13],[1,6,7,9,10,11,12],[2,3,7,10,12,13,14],[2,4,5,9,10,11,12],[2,4,6,8,9,12,13],[2,4,7,8,9,10,14],[2,5,6,8,10,11,13],[2,5,7,8,11,12,14],[2,6,7,9,11,13,14],[3,4,5,7,9,12,13],[3,4,5,9,11,13,14],[3,4,6,7,10,11,12],[3,4,6,8,10,11,14],[3,5,6,7,8,10,13],[3,5,6,8,9,12,14]]; G[1942]:=Group([(1,7)(3,14)(4,5)(9,11)(10,12)]); # Design 1943: autom. group order 2, simple B[1943]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,10,12,13,14],[1,2,4,5,6,7,14],[1,3,7,8,9,11,14],[1,4,5,10,11,13,14],[1,4,6,8,12,13,14],[1,4,7,8,10,11,12],[1,5,6,9,10,12,14],[1,5,7,8,9,10,13],[1,6,7,9,11,12,13],[2,3,7,10,12,13,14],[2,4,5,8,9,12,13],[2,4,6,9,10,11,13],[2,4,7,9,11,12,14],[2,5,6,8,10,11,12],[2,5,7,8,9,13,14],[2,6,7,8,10,11,14],[3,4,5,7,10,11,13],[3,4,5,9,11,12,14],[3,4,6,7,8,12,13],[3,4,6,8,9,10,14],[3,5,6,7,9,10,12],[3,5,6,8,11,13,14]]; G[1943]:=Group([(1,7)(3,14)(5,6)(8,11)(10,12)]); # Design 1944: autom. group order 2, simple, residual B[1944]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,10,12,13,14],[1,2,4,5,6,7,14],[1,3,7,8,9,11,14],[1,4,5,10,11,12,14],[1,4,6,8,12,13,14],[1,4,7,8,10,11,13],[1,5,6,9,10,13,14],[1,5,7,8,9,12,13],[1,6,7,9,10,11,12],[2,3,7,10,12,13,14],[2,4,5,8,9,10,13],[2,4,6,9,11,12,13],[2,4,7,9,11,12,14],[2,5,6,8,10,11,12],[2,5,7,8,11,13,14],[2,6,7,8,9,10,14],[3,4,5,7,9,10,12],[3,4,5,9,11,13,14],[3,4,6,7,8,12,13],[3,4,6,8,10,11,14],[3,5,6,7,10,11,13],[3,5,6,8,9,12,14]]; G[1944]:=Group([(1,3)(4,12)(5,10)(6,13)(7,14)(9,11)]); # Design 1945: autom. group order 2, simple B[1945]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,10,12,13,14],[1,2,4,5,6,7,14],[1,3,7,8,9,11,14],[1,4,5,10,11,12,14],[1,4,6,8,12,13,14],[1,4,7,8,10,11,13],[1,5,6,9,10,13,14],[1,5,7,8,9,12,13],[1,6,7,9,10,11,12],[2,3,7,10,12,13,14],[2,4,5,8,9,10,13],[2,4,6,9,11,12,13],[2,4,7,8,9,12,14],[2,5,6,8,10,11,12],[2,5,7,9,11,13,14],[2,6,7,8,10,11,14],[3,4,5,7,10,11,13],[3,4,5,9,11,12,14],[3,4,6,7,9,10,12],[3,4,6,8,11,13,14],[3,5,6,7,8,12,13],[3,5,6,8,9,10,14]]; G[1945]:=Group([(1,3)(4,13)(5,12)(6,10)(7,14)(8,11)]); # Design 1946: autom. group order 2, simple, residual B[1946]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,10,12,13,14],[1,2,4,5,6,7,14],[1,3,7,8,9,11,14],[1,4,5,10,11,13,14],[1,4,6,8,12,13,14],[1,4,7,8,11,12,13],[1,5,6,9,10,12,14],[1,5,7,8,9,10,13],[1,6,7,9,10,11,12],[2,3,7,10,12,13,14],[2,4,5,8,9,10,12],[2,4,6,9,10,11,13],[2,4,7,8,10,11,14],[2,5,6,8,11,12,13],[2,5,7,9,11,12,14],[2,6,7,8,9,13,14],[3,4,5,7,9,12,13],[3,4,5,9,11,13,14],[3,4,6,7,10,11,12],[3,4,6,8,9,12,14],[3,5,6,7,8,10,13],[3,5,6,8,10,11,14]]; G[1946]:=Group([(1,3)(4,10)(5,12)(6,13)(7,14)]); # Design 1947: autom. group order 2, simple, residual B[1947]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,10,12,13,14],[1,2,4,5,6,7,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,8,10,12,14],[1,4,7,8,10,11,13],[1,5,6,9,10,13,14],[1,5,7,8,9,10,12],[1,6,7,9,11,12,13],[2,3,7,10,12,13,14],[2,4,5,8,9,12,13],[2,4,6,9,10,11,12],[2,4,7,8,11,13,14],[2,5,6,8,10,11,13],[2,5,7,9,10,11,14],[2,6,7,8,9,12,14],[3,4,5,7,9,12,13],[3,4,5,9,10,11,14],[3,4,6,7,10,11,12],[3,4,6,8,9,13,14],[3,5,6,7,8,10,13],[3,5,6,8,11,12,14]]; G[1947]:=Group([(1,14)(3,7)(4,12)(5,13)(6,10)]); # Design 1948: autom. group order 2, simple B[1948]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,10,12,13,14],[1,2,4,5,6,7,14],[1,3,7,8,9,11,14],[1,4,5,8,10,13,14],[1,4,6,11,12,13,14],[1,4,7,8,9,10,12],[1,5,6,9,10,12,14],[1,5,7,9,11,12,13],[1,6,7,8,10,11,13],[2,3,7,10,12,13,14],[2,4,5,9,10,11,13],[2,4,6,8,9,12,13],[2,4,7,9,11,12,14],[2,5,6,8,10,11,12],[2,5,7,8,9,13,14],[2,6,7,8,10,11,14],[3,4,5,7,10,11,13],[3,4,5,8,11,12,14],[3,4,6,7,8,12,13],[3,4,6,9,10,11,14],[3,5,6,7,9,10,12],[3,5,6,8,9,13,14]]; G[1948]:=Group([(1,14)(3,7)(4,13)(5,10)(6,12)]); # Design 1949: autom. group order 2, simple B[1949]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,10,12,13,14],[1,2,4,5,6,7,14],[1,3,7,8,9,11,14],[1,4,5,8,10,13,14],[1,4,6,11,12,13,14],[1,4,7,8,9,12,13],[1,5,6,9,10,12,14],[1,5,7,9,10,11,13],[1,6,7,8,10,11,12],[2,3,7,10,12,13,14],[2,4,5,9,10,11,12],[2,4,6,8,10,11,13],[2,4,7,9,10,11,14],[2,5,6,8,9,12,13],[2,5,7,8,11,12,14],[2,6,7,8,9,13,14],[3,4,5,7,9,12,13],[3,4,5,8,11,13,14],[3,4,6,7,8,10,12],[3,4,6,9,11,12,14],[3,5,6,7,10,11,13],[3,5,6,8,9,10,14]]; G[1949]:=Group([(1,3)(4,10)(5,12)(6,13)(7,14)]); # Design 1950: autom. group order 2, simple B[1950]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,10,12,13,14],[1,2,4,5,6,7,14],[1,3,7,8,9,11,14],[1,4,5,8,10,13,14],[1,4,6,11,12,13,14],[1,4,7,8,10,11,12],[1,5,6,9,10,12,14],[1,5,7,9,11,12,13],[1,6,7,8,9,10,13],[2,3,7,10,12,13,14],[2,4,5,9,10,11,13],[2,4,6,8,9,12,13],[2,4,7,9,11,12,14],[2,5,6,8,10,11,12],[2,5,7,8,9,13,14],[2,6,7,8,10,11,14],[3,4,5,7,10,11,13],[3,4,5,8,9,12,14],[3,4,6,7,8,12,13],[3,4,6,9,10,11,14],[3,5,6,7,9,10,12],[3,5,6,8,11,13,14]]; G[1950]:=Group([(1,14)(3,7)(4,13)(5,10)(6,12)]); # Design 1951: autom. group order 2, simple B[1951]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,10,12,13,14],[1,2,4,5,6,7,14],[1,3,7,8,9,11,14],[1,4,5,8,10,13,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,13],[1,5,6,9,10,12,14],[1,5,7,9,10,11,13],[1,6,7,8,9,10,12],[2,3,7,10,12,13,14],[2,4,5,9,10,11,12],[2,4,6,8,10,11,13],[2,4,7,9,10,11,14],[2,5,6,8,9,12,13],[2,5,7,8,11,12,14],[2,6,7,8,9,13,14],[3,4,5,7,9,12,13],[3,4,5,8,9,13,14],[3,4,6,7,8,10,12],[3,4,6,9,11,12,14],[3,5,6,7,10,11,13],[3,5,6,8,10,11,14]]; G[1951]:=Group([(1,3)(4,10)(5,12)(6,13)(7,14)]); # Design 1952: autom. group order 2, simple B[1952]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,10,12,13,14],[1,2,4,5,6,7,14],[1,3,7,8,9,11,14],[1,4,5,8,12,13,14],[1,4,6,10,11,12,14],[1,4,7,8,9,10,13],[1,5,6,9,10,13,14],[1,5,7,9,10,11,12],[1,6,7,8,11,12,13],[2,3,7,10,12,13,14],[2,4,5,9,11,12,13],[2,4,6,8,9,10,12],[2,4,7,8,11,13,14],[2,5,6,8,10,11,13],[2,5,7,9,10,11,14],[2,6,7,8,9,12,14],[3,4,5,7,9,12,13],[3,4,5,8,10,11,14],[3,4,6,7,10,11,12],[3,4,6,9,11,13,14],[3,5,6,7,8,10,13],[3,5,6,8,9,12,14]]; G[1952]:=Group([(1,14)(3,7)(4,12)(5,13)(6,10)]); # Design 1953: autom. group order 2, simple B[1953]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,10,12,13,14],[1,2,4,5,6,7,14],[1,3,7,8,9,11,14],[1,4,5,8,12,13,14],[1,4,6,10,11,12,14],[1,4,7,8,9,12,13],[1,5,6,9,10,13,14],[1,5,7,9,10,11,13],[1,6,7,8,10,11,12],[2,3,7,10,12,13,14],[2,4,5,9,10,11,12],[2,4,6,8,10,11,13],[2,4,7,8,9,10,14],[2,5,6,8,9,12,13],[2,5,7,9,11,12,14],[2,6,7,8,11,13,14],[3,4,5,7,10,11,13],[3,4,5,8,11,13,14],[3,4,6,7,9,12,13],[3,4,6,9,11,12,14],[3,5,6,7,8,10,12],[3,5,6,8,9,10,14]]; G[1953]:=Group([(1,3)(4,10)(5,12)(6,13)(7,14)]); # Design 1954: autom. group order 2, simple B[1954]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,10,12,13,14],[1,2,4,5,6,7,14],[1,3,7,8,9,11,14],[1,4,5,8,12,13,14],[1,4,6,10,11,12,14],[1,4,7,8,10,11,13],[1,5,6,9,10,13,14],[1,5,7,9,10,11,12],[1,6,7,8,9,12,13],[2,3,7,10,12,13,14],[2,4,5,9,11,12,13],[2,4,6,8,9,10,12],[2,4,7,8,11,13,14],[2,5,6,8,10,11,13],[2,5,7,9,10,11,14],[2,6,7,8,9,12,14],[3,4,5,7,9,12,13],[3,4,5,8,9,10,14],[3,4,6,7,10,11,12],[3,4,6,9,11,13,14],[3,5,6,7,8,10,13],[3,5,6,8,11,12,14]]; G[1954]:=Group([(1,14)(3,7)(4,12)(5,13)(6,10)]); # Design 1955: autom. group order 2, simple B[1955]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,10,12,13,14],[1,2,4,5,6,7,14],[1,3,7,8,9,11,14],[1,4,5,8,12,13,14],[1,4,6,10,11,12,14],[1,4,7,8,11,12,13],[1,5,6,9,10,13,14],[1,5,7,9,10,11,13],[1,6,7,8,9,10,12],[2,3,7,10,12,13,14],[2,4,5,9,10,11,12],[2,4,6,8,10,11,13],[2,4,7,8,9,10,14],[2,5,6,8,9,12,13],[2,5,7,9,11,12,14],[2,6,7,8,11,13,14],[3,4,5,7,10,11,13],[3,4,5,8,9,13,14],[3,4,6,7,9,12,13],[3,4,6,9,11,12,14],[3,5,6,7,8,10,12],[3,5,6,8,10,11,14]]; G[1955]:=Group([(1,3)(4,10)(5,12)(6,13)(7,14)]); # Design 1956: autom. group order 2, simple B[1956]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,10,12,13,14],[1,2,4,5,6,7,14],[1,3,7,8,9,11,14],[1,4,5,8,12,13,14],[1,4,6,10,11,13,14],[1,4,7,8,9,12,13],[1,5,6,9,10,12,14],[1,5,7,9,10,11,12],[1,6,7,8,10,11,13],[2,3,7,10,12,13,14],[2,4,5,8,9,10,13],[2,4,6,9,11,12,13],[2,4,7,9,11,12,14],[2,5,6,8,10,11,12],[2,5,7,8,11,13,14],[2,6,7,8,9,10,14],[3,4,5,7,10,11,13],[3,4,5,9,10,11,14],[3,4,6,7,8,10,12],[3,4,6,8,11,12,14],[3,5,6,7,9,12,13],[3,5,6,8,9,13,14]]; G[1956]:=Group([(1,3)(4,12)(5,10)(6,13)(7,14)(9,11)]); # Design 1957: autom. group order 2, simple, residual B[1957]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,10,12,13,14],[1,2,4,5,6,7,14],[1,3,7,8,9,11,14],[1,4,5,8,10,13,14],[1,4,6,11,12,13,14],[1,4,7,8,9,12,13],[1,5,6,9,10,12,14],[1,5,7,9,10,11,13],[1,6,7,8,10,11,12],[2,3,7,10,12,13,14],[2,4,5,8,11,12,13],[2,4,6,9,10,11,12],[2,4,7,9,10,11,14],[2,5,6,8,9,10,13],[2,5,7,8,9,12,14],[2,6,7,8,11,13,14],[3,4,5,7,10,11,12],[3,4,5,9,11,13,14],[3,4,6,7,8,10,13],[3,4,6,8,9,12,14],[3,5,6,7,9,12,13],[3,5,6,8,10,11,14]]; G[1957]:=Group([(1,14)(3,7)(4,12)(5,10)(6,13)(8,9)]); # Design 1958: autom. group order 2, simple B[1958]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,10,12,13,14],[1,2,4,5,6,7,14],[1,3,7,8,9,11,14],[1,4,5,8,12,13,14],[1,4,6,10,11,13,14],[1,4,7,8,10,11,13],[1,5,6,9,10,12,14],[1,5,7,9,11,12,13],[1,6,7,8,9,10,12],[2,3,7,10,12,13,14],[2,4,5,8,9,10,13],[2,4,6,9,11,12,13],[2,4,7,9,11,12,14],[2,5,6,8,10,11,12],[2,5,7,8,9,13,14],[2,6,7,8,10,11,14],[3,4,5,7,10,11,12],[3,4,5,9,10,11,14],[3,4,6,7,8,12,13],[3,4,6,8,9,12,14],[3,5,6,7,9,10,13],[3,5,6,8,11,13,14]]; G[1958]:=Group([(1,3)(4,10)(5,13)(6,12)(7,14)(8,9)]); # Design 1959: autom. group order 2, simple B[1959]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,10,12,13,14],[1,2,4,5,6,7,14],[1,3,7,8,9,11,14],[1,4,5,8,12,13,14],[1,4,6,10,11,13,14],[1,4,7,8,11,12,13],[1,5,6,9,10,12,14],[1,5,7,9,10,11,12],[1,6,7,8,9,10,13],[2,3,7,10,12,13,14],[2,4,5,8,9,10,13],[2,4,6,9,11,12,13],[2,4,7,9,11,12,14],[2,5,6,8,10,11,12],[2,5,7,8,9,13,14],[2,6,7,8,10,11,14],[3,4,5,7,10,11,13],[3,4,5,9,10,11,14],[3,4,6,7,8,10,12],[3,4,6,8,9,12,14],[3,5,6,7,9,12,13],[3,5,6,8,11,13,14]]; G[1959]:=Group([(1,3)(4,12)(5,10)(6,13)(7,14)(9,11)]); # Design 1960: autom. group order 2, simple, residual B[1960]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,10,12,13,14],[1,2,4,5,6,7,14],[1,3,7,8,9,11,14],[1,4,5,8,12,13,14],[1,4,6,10,11,12,14],[1,4,7,8,10,11,13],[1,5,6,9,10,13,14],[1,5,7,9,10,11,12],[1,6,7,8,9,12,13],[2,3,7,10,12,13,14],[2,4,5,8,9,10,13],[2,4,6,9,11,12,13],[2,4,7,9,11,12,14],[2,5,6,8,10,11,12],[2,5,7,8,11,13,14],[2,6,7,8,9,10,14],[3,4,5,7,9,12,13],[3,4,5,9,10,11,14],[3,4,6,7,8,10,12],[3,4,6,8,11,13,14],[3,5,6,7,10,11,13],[3,5,6,8,9,12,14]]; G[1960]:=Group([(1,3)(4,12)(5,10)(6,13)(7,14)(9,11)]); # Design 1961: autom. group order 2, simple B[1961]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,10,12,13,14],[1,2,4,5,6,7,14],[1,3,7,8,9,11,14],[1,4,5,8,12,13,14],[1,4,6,10,11,13,14],[1,4,7,8,9,10,13],[1,5,6,9,10,12,14],[1,5,7,9,10,11,12],[1,6,7,8,11,12,13],[2,3,7,10,12,13,14],[2,4,5,8,10,11,13],[2,4,6,9,10,11,12],[2,4,7,8,9,12,14],[2,5,6,8,9,12,13],[2,5,7,9,11,13,14],[2,6,7,8,10,11,14],[3,4,5,7,10,11,12],[3,4,5,9,11,13,14],[3,4,6,7,9,12,13],[3,4,6,8,11,12,14],[3,5,6,7,8,10,13],[3,5,6,8,9,10,14]]; G[1961]:=Group([(1,14)(3,7)(4,13)(5,10)(6,12)(8,11)]); # Design 1962: autom. group order 2, simple B[1962]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,10,12,13,14],[1,2,4,5,6,7,14],[1,3,7,8,9,11,14],[1,4,5,8,12,13,14],[1,4,6,10,11,13,14],[1,4,7,8,9,10,12],[1,5,6,9,10,12,14],[1,5,7,9,11,12,13],[1,6,7,8,10,11,13],[2,3,7,10,12,13,14],[2,4,5,8,10,11,13],[2,4,6,9,10,11,12],[2,4,7,8,9,13,14],[2,5,6,8,9,12,13],[2,5,7,9,10,11,14],[2,6,7,8,11,12,14],[3,4,5,7,10,11,12],[3,4,5,9,11,13,14],[3,4,6,7,9,12,13],[3,4,6,8,11,12,14],[3,5,6,7,8,10,13],[3,5,6,8,9,10,14]]; G[1962]:=Group([(1,14)(3,7)(4,12)(5,13)(6,10)(9,11)]); # Design 1963: autom. group order 2, simple, residual B[1963]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,10,12,13,14],[1,2,4,5,6,7,14],[1,3,7,8,9,11,14],[1,4,5,8,12,13,14],[1,4,6,10,11,13,14],[1,4,7,8,9,12,13],[1,5,6,9,10,12,14],[1,5,7,9,10,11,13],[1,6,7,8,10,11,12],[2,3,7,10,12,13,14],[2,4,5,8,10,11,13],[2,4,6,9,10,11,12],[2,4,7,8,9,10,14],[2,5,6,8,9,12,13],[2,5,7,9,11,12,14],[2,6,7,8,11,13,14],[3,4,5,7,10,11,12],[3,4,5,9,11,13,14],[3,4,6,7,9,12,13],[3,4,6,8,11,12,14],[3,5,6,7,8,10,13],[3,5,6,8,9,10,14]]; G[1963]:=Group([(1,14)(3,7)(4,10)(5,12)(6,13)(8,9)]); # Design 1964: autom. group order 2, simple, residual B[1964]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,10,12,13,14],[1,2,4,5,6,7,14],[1,3,7,8,9,11,14],[1,4,5,8,10,13,14],[1,4,6,11,12,13,14],[1,4,7,8,9,12,13],[1,5,6,9,10,12,14],[1,5,7,9,10,11,13],[1,6,7,8,10,11,12],[2,3,7,10,12,13,14],[2,4,5,8,11,12,13],[2,4,6,9,10,11,12],[2,4,7,8,10,11,14],[2,5,6,8,9,10,13],[2,5,7,9,11,12,14],[2,6,7,8,9,13,14],[3,4,5,7,9,10,12],[3,4,5,9,11,13,14],[3,4,6,7,10,11,13],[3,4,6,8,9,12,14],[3,5,6,7,8,12,13],[3,5,6,8,10,11,14]]; G[1964]:=Group([(1,14)(3,7)(4,10)(5,13)(6,12)(9,11)]); # Design 1965: autom. group order 2, simple, residual B[1965]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,10,12,13,14],[1,2,4,5,6,7,14],[1,3,7,8,9,11,14],[1,4,5,8,12,13,14],[1,4,6,10,11,12,14],[1,4,7,8,10,11,13],[1,5,6,9,10,13,14],[1,5,7,9,10,11,12],[1,6,7,8,9,12,13],[2,3,7,10,12,13,14],[2,4,5,8,9,10,13],[2,4,6,9,11,12,13],[2,4,7,8,9,12,14],[2,5,6,8,10,11,12],[2,5,7,9,11,13,14],[2,6,7,8,10,11,14],[3,4,5,7,11,12,13],[3,4,5,9,10,11,14],[3,4,6,7,9,10,12],[3,4,6,8,11,13,14],[3,5,6,7,8,10,13],[3,5,6,8,9,12,14]]; G[1965]:=Group([(1,3)(4,13)(5,12)(6,10)(7,14)(8,11)]); # Design 1966: autom. group order 2, simple B[1966]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,10,12,13,14],[1,2,4,5,6,7,14],[1,3,7,8,9,11,14],[1,4,5,8,12,13,14],[1,4,6,10,11,13,14],[1,4,7,8,10,11,12],[1,5,6,9,10,12,14],[1,5,7,9,11,12,13],[1,6,7,8,9,10,13],[2,3,7,10,12,13,14],[2,4,5,8,10,11,13],[2,4,6,9,10,11,12],[2,4,7,8,9,13,14],[2,5,6,8,9,12,13],[2,5,7,9,10,11,14],[2,6,7,8,11,12,14],[3,4,5,7,9,10,12],[3,4,5,9,11,13,14],[3,4,6,7,11,12,13],[3,4,6,8,9,12,14],[3,5,6,7,8,10,13],[3,5,6,8,10,11,14]]; G[1966]:=Group([(1,14)(3,7)(4,12)(5,13)(6,10)(9,11)]); # Design 1967: autom. group order 2, simple, residual B[1967]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,10,12,13,14],[1,2,4,5,6,7,14],[1,3,7,8,9,11,14],[1,4,5,8,10,13,14],[1,4,6,10,11,12,14],[1,4,7,8,9,12,13],[1,5,6,9,12,13,14],[1,5,7,9,10,11,12],[1,6,7,8,10,11,13],[2,3,7,10,12,13,14],[2,4,5,8,11,12,13],[2,4,6,8,9,10,12],[2,4,7,9,11,13,14],[2,5,6,9,10,11,13],[2,5,7,8,10,11,14],[2,6,7,8,9,12,14],[3,4,5,7,9,10,13],[3,4,5,9,11,12,14],[3,4,6,7,10,11,12],[3,4,6,8,11,13,14],[3,5,6,7,8,12,13],[3,5,6,8,9,10,14]]; G[1967]:=Group([(1,3)(4,10)(5,13)(6,12)(7,14)(8,9)]); # Design 1968: autom. group order 2, simple, residual B[1968]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,10,12,13,14],[1,2,4,5,6,7,14],[1,3,7,8,9,11,14],[1,4,5,8,10,13,14],[1,4,6,10,11,12,14],[1,4,7,8,11,12,13],[1,5,6,9,12,13,14],[1,5,7,9,10,11,13],[1,6,7,8,9,10,12],[2,3,7,10,12,13,14],[2,4,5,8,9,12,13],[2,4,6,8,10,11,13],[2,4,7,9,10,11,14],[2,5,6,9,10,11,12],[2,5,7,8,11,12,14],[2,6,7,8,9,13,14],[3,4,5,7,9,10,12],[3,4,5,9,11,13,14],[3,4,6,7,11,12,13],[3,4,6,8,9,12,14],[3,5,6,7,8,10,13],[3,5,6,8,10,11,14]]; G[1968]:=Group([(1,14)(3,7)(4,10)(5,12)(6,13)(8,11)]); # Design 1969: autom. group order 2, simple, residual B[1969]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,10,12,13,14],[1,2,4,5,6,7,14],[1,3,7,8,9,11,14],[1,4,5,8,12,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,11,13],[1,5,6,10,11,13,14],[1,5,7,8,9,10,12],[1,6,7,9,11,12,13],[2,3,7,10,12,13,14],[2,4,5,9,11,12,13],[2,4,6,8,10,11,12],[2,4,7,8,11,13,14],[2,5,6,8,9,10,13],[2,5,7,9,10,11,14],[2,6,7,8,9,12,14],[3,4,5,7,9,12,13],[3,4,5,9,10,11,14],[3,4,6,7,10,11,12],[3,4,6,8,9,13,14],[3,5,6,7,8,10,13],[3,5,6,8,11,12,14]]; G[1969]:=Group([(1,14)(3,7)(4,12)(5,13)(6,10)]); # Design 1970: autom. group order 2, simple, residual B[1970]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,10,12,13,14],[1,2,4,5,6,7,14],[1,3,7,8,9,11,14],[1,4,5,8,12,13,14],[1,4,6,9,10,12,14],[1,4,7,8,11,12,13],[1,5,6,10,11,13,14],[1,5,7,8,9,10,13],[1,6,7,9,10,11,12],[2,3,7,10,12,13,14],[2,4,5,9,10,11,12],[2,4,6,8,10,11,13],[2,4,7,8,10,11,14],[2,5,6,8,9,12,13],[2,5,7,9,11,12,14],[2,6,7,8,9,13,14],[3,4,5,7,9,10,13],[3,4,5,9,11,13,14],[3,4,6,7,11,12,13],[3,4,6,8,9,12,14],[3,5,6,7,8,10,12],[3,5,6,8,10,11,14]]; G[1970]:=Group([(1,3)(4,10)(5,12)(6,13)(7,14)]); # Design 1971: autom. group order 2, simple B[1971]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,10,12,13,14],[1,2,4,5,6,7,14],[1,3,7,8,9,11,14],[1,4,5,8,12,13,14],[1,4,6,10,11,12,14],[1,4,7,8,9,10,13],[1,5,6,9,10,13,14],[1,5,7,8,10,11,12],[1,6,7,9,11,12,13],[2,3,7,10,12,13,14],[2,4,5,9,11,12,13],[2,4,6,8,9,10,12],[2,4,7,8,11,13,14],[2,5,6,8,10,11,13],[2,5,7,9,10,11,14],[2,6,7,8,9,12,14],[3,4,5,7,9,12,13],[3,4,5,9,10,11,14],[3,4,6,7,10,11,12],[3,4,6,8,11,13,14],[3,5,6,7,8,10,13],[3,5,6,8,9,12,14]]; G[1971]:=Group([(1,14)(3,7)(4,12)(5,13)(6,10)]); # Design 1972: autom. group order 2, simple B[1972]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,10,12,13,14],[1,2,4,5,6,7,14],[1,3,7,8,9,11,14],[1,4,5,8,12,13,14],[1,4,6,10,11,12,14],[1,4,7,8,9,12,13],[1,5,6,9,10,13,14],[1,5,7,8,10,11,13],[1,6,7,9,10,11,12],[2,3,7,10,12,13,14],[2,4,5,9,10,11,12],[2,4,6,8,10,11,13],[2,4,7,8,9,10,14],[2,5,6,8,9,12,13],[2,5,7,9,11,12,14],[2,6,7,8,11,13,14],[3,4,5,7,10,11,13],[3,4,5,9,11,13,14],[3,4,6,7,9,12,13],[3,4,6,8,11,12,14],[3,5,6,7,8,10,12],[3,5,6,8,9,10,14]]; G[1972]:=Group([(1,3)(4,10)(5,12)(6,13)(7,14)]); # Design 1973: autom. group order 2, simple B[1973]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,10,12,13,14],[1,2,4,5,6,7,14],[1,3,7,8,9,11,14],[1,4,5,8,12,13,14],[1,4,6,10,11,12,14],[1,4,7,8,10,11,13],[1,5,6,9,10,13,14],[1,5,7,8,9,10,12],[1,6,7,9,11,12,13],[2,3,7,10,12,13,14],[2,4,5,9,11,12,13],[2,4,6,8,9,10,12],[2,4,7,8,11,13,14],[2,5,6,8,10,11,13],[2,5,7,9,10,11,14],[2,6,7,8,9,12,14],[3,4,5,7,9,12,13],[3,4,5,9,10,11,14],[3,4,6,7,10,11,12],[3,4,6,8,9,13,14],[3,5,6,7,8,10,13],[3,5,6,8,11,12,14]]; G[1973]:=Group([(1,14)(3,7)(4,12)(5,13)(6,10)]); # Design 1974: autom. group order 2, simple B[1974]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,10,12,13,14],[1,2,4,5,6,7,14],[1,3,7,8,9,11,14],[1,4,5,8,12,13,14],[1,4,6,10,11,12,14],[1,4,7,8,11,12,13],[1,5,6,9,10,13,14],[1,5,7,8,9,10,13],[1,6,7,9,10,11,12],[2,3,7,10,12,13,14],[2,4,5,9,10,11,12],[2,4,6,8,10,11,13],[2,4,7,8,9,10,14],[2,5,6,8,9,12,13],[2,5,7,9,11,12,14],[2,6,7,8,11,13,14],[3,4,5,7,10,11,13],[3,4,5,9,11,13,14],[3,4,6,7,9,12,13],[3,4,6,8,9,12,14],[3,5,6,7,8,10,12],[3,5,6,8,10,11,14]]; G[1974]:=Group([(1,3)(4,10)(5,12)(6,13)(7,14)]); # Design 1975: autom. group order 2, simple, residual B[1975]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,7,8,12],[1,4,6,7,9,11,13],[1,4,6,10,11,13,14],[1,5,7,8,9,10,11],[1,5,8,9,12,13,14],[1,7,8,10,11,12,14],[2,3,7,8,10,11,13],[2,4,5,8,11,12,13],[2,4,6,8,9,10,12],[2,4,7,8,9,13,14],[2,5,6,7,9,11,14],[2,5,6,9,10,11,12],[2,6,7,10,12,13,14],[3,4,5,7,10,12,14],[3,4,5,9,10,11,14],[3,4,6,8,11,12,14],[3,4,7,9,11,12,13],[3,5,6,7,8,10,13],[3,5,6,8,9,13,14]]; G[1975]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 1976: autom. group order 2, simple B[1976]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,7,8,12],[1,4,6,7,9,11,13],[1,4,6,10,11,13,14],[1,5,7,8,9,10,14],[1,5,8,10,11,12,14],[1,7,8,9,11,12,13],[2,3,7,8,10,11,13],[2,4,5,8,9,11,13],[2,4,6,8,9,10,12],[2,4,7,8,12,13,14],[2,5,6,7,9,11,14],[2,5,6,9,10,11,12],[2,6,7,10,12,13,14],[3,4,5,7,10,11,12],[3,4,5,9,12,13,14],[3,4,6,8,11,12,14],[3,4,7,9,10,11,14],[3,5,6,7,8,10,13],[3,5,6,8,9,13,14]]; G[1976]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 1977: autom. group order 2, simple B[1977]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,7,8,12],[1,4,6,7,9,11,13],[1,4,6,10,11,13,14],[1,5,7,8,10,11,12],[1,5,8,9,12,13,14],[1,7,8,9,10,11,14],[2,3,7,8,10,11,13],[2,4,5,8,9,11,13],[2,4,6,8,9,10,12],[2,4,7,8,12,13,14],[2,5,6,7,9,11,14],[2,5,6,9,10,11,12],[2,6,7,10,12,13,14],[3,4,5,7,9,10,14],[3,4,5,10,11,12,14],[3,4,6,8,11,12,14],[3,4,7,9,11,12,13],[3,5,6,7,8,10,13],[3,5,6,8,9,13,14]]; G[1977]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 1978: autom. group order 2, simple, residual B[1978]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,7,8,12],[1,4,6,7,9,11,13],[1,4,6,10,11,13,14],[1,5,7,8,10,12,14],[1,5,8,9,10,11,14],[1,7,8,9,11,12,13],[2,3,7,8,10,11,13],[2,4,5,8,11,12,13],[2,4,6,8,9,10,12],[2,4,7,8,9,13,14],[2,5,6,7,9,11,14],[2,5,6,9,10,11,12],[2,6,7,10,12,13,14],[3,4,5,7,9,10,11],[3,4,5,9,12,13,14],[3,4,6,8,11,12,14],[3,4,7,10,11,12,14],[3,5,6,7,8,10,13],[3,5,6,8,9,13,14]]; G[1978]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 1979: autom. group order 2, simple, residual B[1979]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,7,8,12],[1,4,6,7,10,11,13],[1,4,6,9,11,13,14],[1,5,7,8,9,10,11],[1,5,8,9,12,13,14],[1,7,8,10,11,12,14],[2,3,7,8,10,11,13],[2,4,5,8,11,12,13],[2,4,6,8,9,10,12],[2,4,7,8,9,13,14],[2,5,6,7,9,11,14],[2,5,6,9,10,11,12],[2,6,7,10,12,13,14],[3,4,5,7,10,12,14],[3,4,5,9,10,11,14],[3,4,6,8,11,12,14],[3,4,7,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,8,10,13,14]]; G[1979]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 1980: autom. group order 2, simple B[1980]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,7,8,12],[1,4,6,7,10,11,13],[1,4,6,9,11,13,14],[1,5,7,8,9,10,14],[1,5,8,10,11,12,14],[1,7,8,9,11,12,13],[2,3,7,8,10,11,13],[2,4,5,8,9,11,13],[2,4,6,8,9,10,12],[2,4,7,8,12,13,14],[2,5,6,7,9,11,14],[2,5,6,9,10,11,12],[2,6,7,10,12,13,14],[3,4,5,7,10,11,12],[3,4,5,9,12,13,14],[3,4,6,8,11,12,14],[3,4,7,9,10,11,14],[3,5,6,7,8,9,13],[3,5,6,8,10,13,14]]; G[1980]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 1981: autom. group order 2, simple B[1981]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,7,8,12],[1,4,6,7,10,11,13],[1,4,6,9,11,13,14],[1,5,7,8,10,11,12],[1,5,8,9,12,13,14],[1,7,8,9,10,11,14],[2,3,7,8,10,11,13],[2,4,5,8,9,11,13],[2,4,6,8,9,10,12],[2,4,7,8,12,13,14],[2,5,6,7,9,11,14],[2,5,6,9,10,11,12],[2,6,7,10,12,13,14],[3,4,5,7,9,10,14],[3,4,5,10,11,12,14],[3,4,6,8,11,12,14],[3,4,7,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,8,10,13,14]]; G[1981]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 1982: autom. group order 2, simple, residual B[1982]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,7,8,12],[1,4,6,7,10,11,13],[1,4,6,9,11,13,14],[1,5,7,8,10,12,14],[1,5,8,9,10,11,14],[1,7,8,9,11,12,13],[2,3,7,8,10,11,13],[2,4,5,8,11,12,13],[2,4,6,8,9,10,12],[2,4,7,8,9,13,14],[2,5,6,7,9,11,14],[2,5,6,9,10,11,12],[2,6,7,10,12,13,14],[3,4,5,7,9,10,11],[3,4,5,9,12,13,14],[3,4,6,8,11,12,14],[3,4,7,10,11,12,14],[3,5,6,7,8,9,13],[3,5,6,8,10,13,14]]; G[1982]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 1983: autom. group order 2, simple, residual B[1983]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,9,12],[1,4,6,7,10,11,14],[1,4,6,8,11,13,14],[1,5,7,9,10,12,13],[1,5,8,9,10,11,13],[1,7,8,9,11,12,14],[2,3,7,9,11,12,14],[2,4,5,9,10,11,14],[2,4,6,8,9,10,12],[2,4,7,8,9,13,14],[2,5,6,7,8,11,13],[2,5,6,10,11,12,14],[2,6,7,8,10,12,13],[3,4,5,7,8,10,11],[3,4,5,8,12,13,14],[3,4,6,9,11,12,13],[3,4,7,10,11,12,13],[3,5,6,7,8,9,14],[3,5,6,9,10,13,14]]; G[1983]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 1984: autom. group order 2, simple B[1984]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,9,12],[1,4,6,7,10,11,14],[1,4,6,8,11,13,14],[1,5,7,9,10,12,13],[1,5,8,9,10,11,13],[1,7,8,9,11,12,14],[2,3,7,9,10,11,14],[2,4,5,9,11,12,14],[2,4,6,8,9,10,12],[2,4,7,8,9,13,14],[2,5,6,7,8,11,13],[2,5,6,10,11,12,14],[2,6,7,8,10,12,13],[3,4,5,7,8,10,11],[3,4,5,8,12,13,14],[3,4,6,9,11,12,13],[3,4,7,10,11,12,13],[3,5,6,7,8,9,14],[3,5,6,9,10,13,14]]; G[1984]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 1985: autom. group order 2, simple, residual B[1985]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,9,12],[1,4,6,7,10,11,14],[1,4,6,8,11,13,14],[1,5,7,9,10,11,12],[1,5,8,9,12,13,14],[1,7,8,9,10,11,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,14],[2,4,6,8,9,10,12],[2,4,7,9,12,13,14],[2,5,6,7,8,11,13],[2,5,6,10,11,12,14],[2,6,7,8,10,12,13],[3,4,5,7,8,10,13],[3,4,5,10,11,12,13],[3,4,6,9,11,12,13],[3,4,7,8,11,12,14],[3,5,6,7,8,9,14],[3,5,6,9,10,13,14]]; G[1985]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 1986: autom. group order 2, simple, residual B[1986]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,9,14],[1,4,6,7,10,11,12],[1,4,6,8,11,12,13],[1,5,7,8,9,11,14],[1,5,9,10,12,13,14],[1,7,8,9,10,11,13],[2,3,7,9,11,12,14],[2,4,5,9,10,11,12],[2,4,6,8,9,10,14],[2,4,7,8,9,12,13],[2,5,6,7,10,11,13],[2,5,6,8,10,11,14],[2,6,7,8,12,13,14],[3,4,5,7,8,10,13],[3,4,5,8,11,13,14],[3,4,6,9,11,13,14],[3,4,7,10,11,12,14],[3,5,6,7,8,9,12],[3,5,6,9,10,12,13]]; G[1986]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 1987: autom. group order 2, simple, residual B[1987]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,9,12],[1,4,6,7,10,11,14],[1,4,6,8,11,13,14],[1,5,7,8,9,10,13],[1,5,9,10,11,12,13],[1,7,8,9,11,12,14],[2,3,7,9,10,11,14],[2,4,5,8,9,11,14],[2,4,6,8,9,10,12],[2,4,7,9,12,13,14],[2,5,6,7,8,11,13],[2,5,6,10,11,12,14],[2,6,7,8,10,12,13],[3,4,5,7,10,11,12],[3,4,5,8,12,13,14],[3,4,6,9,11,12,13],[3,4,7,8,10,11,13],[3,5,6,7,8,9,14],[3,5,6,9,10,13,14]]; G[1987]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 1988: autom. group order 2, simple, residual B[1988]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,9,14],[1,4,6,7,10,11,12],[1,4,6,8,11,12,13],[1,5,7,8,9,10,13],[1,5,8,9,11,13,14],[1,7,9,10,11,12,14],[2,3,7,9,11,12,14],[2,4,5,9,10,11,12],[2,4,6,8,9,10,14],[2,4,7,8,9,12,13],[2,5,6,7,10,11,13],[2,5,6,8,10,11,14],[2,6,7,8,12,13,14],[3,4,5,7,8,11,14],[3,4,5,10,12,13,14],[3,4,6,9,11,13,14],[3,4,7,8,10,11,13],[3,5,6,7,8,9,12],[3,5,6,9,10,12,13]]; G[1988]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 1989: autom. group order 2, simple, residual B[1989]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,9,12],[1,4,6,7,10,11,14],[1,4,6,8,11,13,14],[1,5,7,8,9,10,11],[1,5,8,9,12,13,14],[1,7,9,10,11,12,13],[2,3,7,9,11,12,14],[2,4,5,9,10,11,14],[2,4,6,8,9,10,12],[2,4,7,8,9,13,14],[2,5,6,7,8,11,13],[2,5,6,10,11,12,14],[2,6,7,8,10,12,13],[3,4,5,7,10,12,13],[3,4,5,8,10,11,13],[3,4,6,9,11,12,13],[3,4,7,8,11,12,14],[3,5,6,7,8,9,14],[3,5,6,9,10,13,14]]; G[1989]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 1990: autom. group order 2, simple B[1990]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,9,12],[1,4,6,7,10,11,14],[1,4,6,8,11,13,14],[1,5,7,8,9,10,11],[1,5,8,9,12,13,14],[1,7,9,10,11,12,13],[2,3,7,9,10,11,14],[2,4,5,9,11,12,14],[2,4,6,8,9,10,12],[2,4,7,8,9,13,14],[2,5,6,7,8,11,13],[2,5,6,10,11,12,14],[2,6,7,8,10,12,13],[3,4,5,7,10,12,13],[3,4,5,8,10,11,13],[3,4,6,9,11,12,13],[3,4,7,8,11,12,14],[3,5,6,7,8,9,14],[3,5,6,9,10,13,14]]; G[1990]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 1991: autom. group order 2, simple, residual B[1991]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,9,12],[1,4,6,7,8,11,14],[1,4,6,10,11,13,14],[1,5,7,9,10,12,13],[1,5,8,9,10,11,13],[1,7,8,9,11,12,14],[2,3,7,9,11,12,14],[2,4,5,9,10,11,14],[2,4,6,8,9,10,12],[2,4,7,8,9,13,14],[2,5,6,7,8,11,13],[2,5,6,10,11,12,14],[2,6,7,8,10,12,13],[3,4,5,7,8,10,11],[3,4,5,8,12,13,14],[3,4,6,9,11,12,13],[3,4,7,10,11,12,13],[3,5,6,7,9,10,14],[3,5,6,8,9,13,14]]; G[1991]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 1992: autom. group order 2, simple B[1992]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,9,12],[1,4,6,7,8,11,14],[1,4,6,10,11,13,14],[1,5,7,9,10,12,13],[1,5,8,9,10,11,13],[1,7,8,9,11,12,14],[2,3,7,9,10,11,14],[2,4,5,9,11,12,14],[2,4,6,8,9,10,12],[2,4,7,8,9,13,14],[2,5,6,7,8,11,13],[2,5,6,10,11,12,14],[2,6,7,8,10,12,13],[3,4,5,7,8,10,11],[3,4,5,8,12,13,14],[3,4,6,9,11,12,13],[3,4,7,10,11,12,13],[3,5,6,7,9,10,14],[3,5,6,8,9,13,14]]; G[1992]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 1993: autom. group order 2, simple, residual B[1993]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,9,12],[1,4,6,7,8,11,14],[1,4,6,10,11,13,14],[1,5,7,9,10,11,12],[1,5,8,9,12,13,14],[1,7,8,9,10,11,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,14],[2,4,6,8,9,10,12],[2,4,7,9,12,13,14],[2,5,6,7,8,11,13],[2,5,6,10,11,12,14],[2,6,7,8,10,12,13],[3,4,5,7,8,10,13],[3,4,5,10,11,12,13],[3,4,6,9,11,12,13],[3,4,7,8,11,12,14],[3,5,6,7,9,10,14],[3,5,6,8,9,13,14]]; G[1993]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 1994: autom. group order 2, simple, residual B[1994]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,9,14],[1,4,6,7,8,11,12],[1,4,6,10,11,12,13],[1,5,7,8,9,11,14],[1,5,9,10,12,13,14],[1,7,8,9,10,11,13],[2,3,7,9,11,12,14],[2,4,5,9,10,11,12],[2,4,6,8,9,10,14],[2,4,7,8,9,12,13],[2,5,6,7,10,11,13],[2,5,6,8,10,11,14],[2,6,7,8,12,13,14],[3,4,5,7,8,10,13],[3,4,5,8,11,13,14],[3,4,6,9,11,13,14],[3,4,7,10,11,12,14],[3,5,6,7,9,10,12],[3,5,6,8,9,12,13]]; G[1994]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 1995: autom. group order 2, simple, residual B[1995]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,9,12],[1,4,6,7,8,11,14],[1,4,6,10,11,13,14],[1,5,7,8,9,10,13],[1,5,9,10,11,12,13],[1,7,8,9,11,12,14],[2,3,7,9,10,11,14],[2,4,5,8,9,11,14],[2,4,6,8,9,10,12],[2,4,7,9,12,13,14],[2,5,6,7,8,11,13],[2,5,6,10,11,12,14],[2,6,7,8,10,12,13],[3,4,5,7,10,11,12],[3,4,5,8,12,13,14],[3,4,6,9,11,12,13],[3,4,7,8,10,11,13],[3,5,6,7,9,10,14],[3,5,6,8,9,13,14]]; G[1995]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 1996: autom. group order 2, simple, residual B[1996]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,9,14],[1,4,6,7,8,11,12],[1,4,6,10,11,12,13],[1,5,7,8,9,10,13],[1,5,8,9,11,13,14],[1,7,9,10,11,12,14],[2,3,7,9,11,12,14],[2,4,5,9,10,11,12],[2,4,6,8,9,10,14],[2,4,7,8,9,12,13],[2,5,6,7,10,11,13],[2,5,6,8,10,11,14],[2,6,7,8,12,13,14],[3,4,5,7,8,11,14],[3,4,5,10,12,13,14],[3,4,6,9,11,13,14],[3,4,7,8,10,11,13],[3,5,6,7,9,10,12],[3,5,6,8,9,12,13]]; G[1996]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 1997: autom. group order 2, simple, residual B[1997]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,9,12],[1,4,6,7,8,11,14],[1,4,6,10,11,13,14],[1,5,7,8,9,10,11],[1,5,8,9,12,13,14],[1,7,9,10,11,12,13],[2,3,7,9,11,12,14],[2,4,5,9,10,11,14],[2,4,6,8,9,10,12],[2,4,7,8,9,13,14],[2,5,6,7,8,11,13],[2,5,6,10,11,12,14],[2,6,7,8,10,12,13],[3,4,5,7,10,12,13],[3,4,5,8,10,11,13],[3,4,6,9,11,12,13],[3,4,7,8,11,12,14],[3,5,6,7,9,10,14],[3,5,6,8,9,13,14]]; G[1997]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 1998: autom. group order 2, simple B[1998]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,9,12],[1,4,6,7,8,11,14],[1,4,6,10,11,13,14],[1,5,7,8,9,10,11],[1,5,8,9,12,13,14],[1,7,9,10,11,12,13],[2,3,7,9,10,11,14],[2,4,5,9,11,12,14],[2,4,6,8,9,10,12],[2,4,7,8,9,13,14],[2,5,6,7,8,11,13],[2,5,6,10,11,12,14],[2,6,7,8,10,12,13],[3,4,5,7,10,12,13],[3,4,5,8,10,11,13],[3,4,6,9,11,12,13],[3,4,7,8,11,12,14],[3,5,6,7,9,10,14],[3,5,6,8,9,13,14]]; G[1998]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 1999: autom. group order 2, simple, residual B[1999]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,9,10,11],[1,4,6,7,8,12,13],[1,4,6,8,11,12,14],[1,5,7,8,9,12,13],[1,5,7,9,10,11,14],[1,7,8,10,11,13,14],[2,3,7,8,10,11,13],[2,4,5,7,8,10,12],[2,4,6,7,9,11,13],[2,4,7,9,11,12,14],[2,5,6,8,9,11,13],[2,5,6,8,10,12,14],[2,6,9,10,12,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[1999]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2000: autom. group order 2, simple B[2000]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,6,9,12,13],[1,4,6,7,8,10,11],[1,4,6,8,12,13,14],[1,5,7,8,9,11,14],[1,5,7,9,10,11,12],[1,7,8,10,12,13,14],[2,3,7,8,10,12,13],[2,4,5,7,8,11,13],[2,4,6,7,9,10,12],[2,4,7,9,11,13,14],[2,5,6,8,9,12,14],[2,5,6,8,10,11,12],[2,6,9,10,11,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2000]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2001: autom. group order 2, simple B[2001]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,9,11,13],[1,4,6,7,8,10,11],[1,4,6,8,12,13,14],[1,5,7,8,9,11,14],[1,5,7,9,10,11,12],[1,7,8,10,12,13,14],[2,3,7,8,10,11,13],[2,4,5,7,8,12,13],[2,4,6,7,9,10,12],[2,4,7,9,11,13,14],[2,5,6,8,9,12,14],[2,5,6,8,10,11,12],[2,6,9,10,11,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2001]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2002: autom. group order 2, simple, residual B[2002]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,9,10,11],[1,4,6,7,8,12,13],[1,4,6,8,11,12,14],[1,5,7,8,9,12,13],[1,5,7,8,10,11,14],[1,7,9,10,11,13,14],[2,3,7,8,10,11,13],[2,4,5,7,8,10,12],[2,4,6,7,9,11,13],[2,4,7,9,11,12,14],[2,5,6,8,9,11,13],[2,5,6,9,10,12,14],[2,6,8,10,12,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2002]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2003: autom. group order 2, simple B[2003]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,6,9,12,13],[1,4,6,7,8,10,11],[1,4,6,8,12,13,14],[1,5,7,8,9,12,14],[1,5,7,8,10,11,12],[1,7,9,10,11,13,14],[2,3,7,8,10,12,13],[2,4,5,7,8,11,13],[2,4,6,7,9,10,12],[2,4,7,9,11,13,14],[2,5,6,8,9,11,14],[2,5,6,9,10,11,12],[2,6,8,10,12,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2003]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2004: autom. group order 2, simple B[2004]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,9,11,13],[1,4,6,7,8,10,11],[1,4,6,8,12,13,14],[1,5,7,8,9,12,14],[1,5,7,8,10,11,12],[1,7,9,10,11,13,14],[2,3,7,8,10,11,13],[2,4,5,7,8,12,13],[2,4,6,7,9,10,12],[2,4,7,9,11,13,14],[2,5,6,8,9,11,14],[2,5,6,9,10,11,12],[2,6,8,10,12,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2004]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2005: autom. group order 2, simple, residual B[2005]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,6,8,10,12],[1,4,6,7,8,12,13],[1,4,6,9,11,12,14],[1,5,7,8,9,11,13],[1,5,7,9,10,12,14],[1,7,8,10,11,13,14],[2,3,7,8,10,12,13],[2,4,5,7,9,10,11],[2,4,6,7,9,11,13],[2,4,7,8,11,12,14],[2,5,6,8,9,12,13],[2,5,6,8,10,11,14],[2,6,9,10,12,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2005]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2006: autom. group order 2, simple, residual B[2006]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,8,10,11],[1,4,6,7,8,12,13],[1,4,6,9,11,12,14],[1,5,7,8,9,11,13],[1,5,7,9,10,11,14],[1,7,8,10,12,13,14],[2,3,7,8,10,11,13],[2,4,5,7,9,10,12],[2,4,6,7,9,11,13],[2,4,7,8,11,12,14],[2,5,6,8,9,12,13],[2,5,6,8,10,12,14],[2,6,9,10,11,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2006]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2007: autom. group order 2, simple B[2007]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,6,8,12,13],[1,4,6,7,8,10,11],[1,4,6,9,12,13,14],[1,5,7,8,9,11,14],[1,5,7,9,10,11,12],[1,7,8,10,12,13,14],[2,3,7,8,10,12,13],[2,4,5,7,9,11,13],[2,4,6,7,9,10,12],[2,4,7,8,11,13,14],[2,5,6,8,9,12,14],[2,5,6,8,10,11,12],[2,6,9,10,11,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2007]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2008: autom. group order 2, simple B[2008]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,8,12,13],[1,4,6,7,8,10,11],[1,4,6,9,11,13,14],[1,5,7,8,9,11,14],[1,5,7,9,10,11,12],[1,7,8,10,12,13,14],[2,3,7,8,10,11,13],[2,4,5,7,9,11,13],[2,4,6,7,9,10,12],[2,4,7,8,12,13,14],[2,5,6,8,9,12,14],[2,5,6,8,10,11,12],[2,6,9,10,11,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2008]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2009: autom. group order 2, simple, residual B[2009]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,6,8,10,12],[1,4,6,7,8,12,13],[1,4,6,9,11,12,14],[1,5,7,8,9,11,13],[1,5,7,8,10,11,14],[1,7,9,10,12,13,14],[2,3,7,8,10,12,13],[2,4,5,7,9,10,11],[2,4,6,7,9,11,13],[2,4,7,8,11,12,14],[2,5,6,8,9,12,13],[2,5,6,9,10,12,14],[2,6,8,10,11,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2009]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2010: autom. group order 2, simple, residual B[2010]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,8,10,11],[1,4,6,7,8,12,13],[1,4,6,9,11,12,14],[1,5,7,8,9,11,13],[1,5,7,8,10,12,14],[1,7,9,10,11,13,14],[2,3,7,8,10,11,13],[2,4,5,7,9,10,12],[2,4,6,7,9,11,13],[2,4,7,8,11,12,14],[2,5,6,8,9,12,13],[2,5,6,9,10,11,14],[2,6,8,10,12,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2010]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2011: autom. group order 2, simple B[2011]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,6,8,12,13],[1,4,6,7,8,10,11],[1,4,6,9,12,13,14],[1,5,7,8,9,12,14],[1,5,7,8,10,11,12],[1,7,9,10,11,13,14],[2,3,7,8,10,12,13],[2,4,5,7,9,11,13],[2,4,6,7,9,10,12],[2,4,7,8,11,13,14],[2,5,6,8,9,11,14],[2,5,6,9,10,11,12],[2,6,8,10,12,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2011]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2012: autom. group order 2, simple, residual B[2012]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,6,9,10,11],[1,4,6,7,8,12,13],[1,4,6,9,11,12,14],[1,5,7,8,9,11,13],[1,5,7,9,10,12,14],[1,7,8,10,11,13,14],[2,3,7,9,10,11,13],[2,4,5,7,8,10,12],[2,4,6,7,9,11,13],[2,4,7,8,11,12,14],[2,5,6,8,9,12,13],[2,5,6,8,10,11,14],[2,6,9,10,12,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2012]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2013: autom. group order 2, simple B[2013]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,6,9,11,13],[1,4,6,7,8,10,11],[1,4,6,9,12,13,14],[1,5,7,8,9,11,14],[1,5,7,9,10,11,12],[1,7,8,10,12,13,14],[2,3,7,9,10,11,13],[2,4,5,7,8,12,13],[2,4,6,7,9,10,12],[2,4,7,8,11,13,14],[2,5,6,8,9,12,14],[2,5,6,8,10,11,12],[2,6,9,10,11,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2013]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2014: autom. group order 2, simple B[2014]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,6,9,12,13],[1,4,6,7,8,10,11],[1,4,6,9,11,13,14],[1,5,7,8,9,11,14],[1,5,7,9,10,11,12],[1,7,8,10,12,13,14],[2,3,7,9,10,11,13],[2,4,5,7,8,11,13],[2,4,6,7,9,10,12],[2,4,7,8,12,13,14],[2,5,6,8,9,12,14],[2,5,6,8,10,11,12],[2,6,9,10,11,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2014]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2015: autom. group order 2, simple, residual B[2015]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,6,9,10,11],[1,4,6,7,8,12,13],[1,4,6,9,11,12,14],[1,5,7,8,9,11,13],[1,5,7,8,10,11,14],[1,7,9,10,12,13,14],[2,3,7,9,10,11,13],[2,4,5,7,8,10,12],[2,4,6,7,9,11,13],[2,4,7,8,11,12,14],[2,5,6,8,9,12,13],[2,5,6,9,10,12,14],[2,6,8,10,11,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2015]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2016: autom. group order 2, simple B[2016]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,6,9,11,13],[1,4,6,7,8,10,11],[1,4,6,9,12,13,14],[1,5,7,8,9,12,14],[1,5,7,8,10,11,12],[1,7,9,10,11,13,14],[2,3,7,9,10,11,13],[2,4,5,7,8,12,13],[2,4,6,7,9,10,12],[2,4,7,8,11,13,14],[2,5,6,8,9,11,14],[2,5,6,9,10,11,12],[2,6,8,10,12,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2016]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2017: autom. group order 2, simple B[2017]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,6,9,12,13],[1,4,6,7,8,10,11],[1,4,6,9,11,13,14],[1,5,7,8,9,12,14],[1,5,7,8,10,11,12],[1,7,9,10,11,13,14],[2,3,7,9,10,11,13],[2,4,5,7,8,11,13],[2,4,6,7,9,10,12],[2,4,7,8,12,13,14],[2,5,6,8,9,11,14],[2,5,6,9,10,11,12],[2,6,8,10,12,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2017]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2018: autom. group order 2, simple B[2018]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,9,12,13,14],[1,4,5,6,10,11,13],[1,4,6,7,9,11,14],[1,4,6,8,10,12,14],[1,5,7,8,9,12,13],[1,5,7,9,10,11,14],[1,7,8,10,11,12,13],[2,3,7,10,11,13,14],[2,4,5,7,9,12,14],[2,4,6,7,10,12,13],[2,4,7,8,9,11,13],[2,5,6,8,10,11,14],[2,5,6,9,10,12,13],[2,6,8,9,11,12,14],[3,4,5,9,10,11,12],[3,4,5,11,12,13,14],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2018]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2019: autom. group order 2, simple B[2019]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,9,12,13,14],[1,4,5,6,10,12,14],[1,4,6,7,9,11,14],[1,4,6,8,10,11,13],[1,5,7,8,9,12,13],[1,5,7,9,10,11,14],[1,7,8,10,11,12,13],[2,3,7,10,11,13,14],[2,4,5,7,9,11,13],[2,4,6,7,10,12,13],[2,4,7,8,9,12,14],[2,5,6,8,10,11,14],[2,5,6,9,10,12,13],[2,6,8,9,11,12,14],[3,4,5,9,10,11,12],[3,4,5,11,12,13,14],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2019]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2020: autom. group order 2, simple, residual B[2020]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,9,12,13,14],[1,4,5,6,10,11,13],[1,4,6,7,9,11,14],[1,4,6,8,10,12,14],[1,5,7,8,9,12,13],[1,5,7,10,11,12,13],[1,7,8,9,10,11,14],[2,3,7,10,11,13,14],[2,4,5,7,9,12,14],[2,4,6,7,10,12,13],[2,4,7,8,9,11,13],[2,5,6,8,10,11,14],[2,5,6,9,11,12,14],[2,6,8,9,10,12,13],[3,4,5,9,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,8,11,12],[3,4,8,11,12,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2020]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2021: autom. group order 2, simple, residual B[2021]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,9,12,13,14],[1,4,5,6,10,12,14],[1,4,6,7,9,11,14],[1,4,6,8,10,11,13],[1,5,7,8,9,12,13],[1,5,7,10,11,12,13],[1,7,8,9,10,11,14],[2,3,7,10,11,13,14],[2,4,5,7,9,11,13],[2,4,6,7,10,12,13],[2,4,7,8,9,12,14],[2,5,6,8,10,11,14],[2,5,6,9,11,12,14],[2,6,8,9,10,12,13],[3,4,5,9,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,8,11,12],[3,4,8,11,12,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2021]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2022: autom. group order 2, simple B[2022]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,9,12,13,14],[1,4,5,6,10,11,14],[1,4,6,7,9,11,14],[1,4,6,8,10,12,13],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[1,7,8,9,11,12,13],[2,3,7,10,11,13,14],[2,4,5,7,9,12,13],[2,4,6,7,10,12,13],[2,4,7,8,9,11,14],[2,5,6,8,9,12,14],[2,5,6,9,10,11,13],[2,6,8,10,11,12,14],[3,4,5,9,10,11,12],[3,4,5,11,12,13,14],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2022]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2023: autom. group order 2, simple B[2023]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,9,12,13,14],[1,4,5,6,10,12,13],[1,4,6,7,9,11,14],[1,4,6,8,10,11,14],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[1,7,8,9,11,12,13],[2,3,7,10,11,13,14],[2,4,5,7,9,11,14],[2,4,6,7,10,12,13],[2,4,7,8,9,12,13],[2,5,6,8,9,12,14],[2,5,6,9,10,11,13],[2,6,8,10,11,12,14],[3,4,5,9,10,11,12],[3,4,5,11,12,13,14],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2023]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2024: autom. group order 2, simple, residual B[2024]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,9,12,13,14],[1,4,5,6,10,11,14],[1,4,6,7,9,11,14],[1,4,6,8,10,12,13],[1,5,7,8,10,11,13],[1,5,7,9,11,12,13],[1,7,8,9,10,12,14],[2,3,7,10,11,13,14],[2,4,5,7,9,12,13],[2,4,6,7,10,12,13],[2,4,7,8,9,11,14],[2,5,6,8,9,12,14],[2,5,6,10,11,12,14],[2,6,8,9,10,11,13],[3,4,5,9,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,8,11,12],[3,4,8,11,12,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2024]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2025: autom. group order 2, simple, residual B[2025]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,9,12,13,14],[1,4,5,6,10,12,13],[1,4,6,7,9,11,14],[1,4,6,8,10,11,14],[1,5,7,8,10,11,13],[1,5,7,9,11,12,13],[1,7,8,9,10,12,14],[2,3,7,10,11,13,14],[2,4,5,7,9,11,14],[2,4,6,7,10,12,13],[2,4,7,8,9,12,13],[2,5,6,8,9,12,14],[2,5,6,10,11,12,14],[2,6,8,9,10,11,13],[3,4,5,9,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,8,11,12],[3,4,8,11,12,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2025]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2026: autom. group order 2, simple B[2026]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,11,13,14],[1,4,5,6,9,12,14],[1,4,6,7,9,11,14],[1,4,6,8,10,12,13],[1,5,7,8,9,12,13],[1,5,7,9,10,11,13],[1,7,8,10,11,12,14],[2,3,7,9,12,13,14],[2,4,5,7,10,11,13],[2,4,6,7,10,12,13],[2,4,7,8,9,11,14],[2,5,6,8,10,11,14],[2,5,6,9,10,12,14],[2,6,8,9,11,12,13],[3,4,5,9,10,11,12],[3,4,5,11,12,13,14],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2026]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2027: autom. group order 2, simple B[2027]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,12,13,14],[1,4,5,6,9,12,13],[1,4,6,7,9,11,14],[1,4,6,8,10,11,14],[1,5,7,8,9,12,14],[1,5,7,9,10,11,13],[1,7,8,10,11,12,13],[2,3,7,9,11,13,14],[2,4,5,7,10,11,14],[2,4,6,7,10,12,13],[2,4,7,8,9,12,13],[2,5,6,8,10,11,13],[2,5,6,9,10,12,14],[2,6,8,9,11,12,14],[3,4,5,9,10,11,12],[3,4,5,11,12,13,14],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2027]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2028: autom. group order 2, simple, residual B[2028]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,11,13,14],[1,4,5,6,9,12,14],[1,4,6,7,9,11,14],[1,4,6,8,10,12,13],[1,5,7,8,9,12,13],[1,5,7,10,11,12,14],[1,7,8,9,10,11,13],[2,3,7,9,12,13,14],[2,4,5,7,10,11,13],[2,4,6,7,10,12,13],[2,4,7,8,9,11,14],[2,5,6,8,10,11,14],[2,5,6,9,11,12,13],[2,6,8,9,10,12,14],[3,4,5,9,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,8,11,12],[3,4,8,11,12,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2028]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2029: autom. group order 2, simple, residual B[2029]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,12,13,14],[1,4,5,6,9,12,13],[1,4,6,7,9,11,14],[1,4,6,8,10,11,14],[1,5,7,8,9,12,14],[1,5,7,10,11,12,13],[1,7,8,9,10,11,13],[2,3,7,9,11,13,14],[2,4,5,7,10,11,14],[2,4,6,7,10,12,13],[2,4,7,8,9,12,13],[2,5,6,8,10,11,13],[2,5,6,9,11,12,14],[2,6,8,9,10,12,14],[3,4,5,9,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,8,11,12],[3,4,8,11,12,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2029]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2030: autom. group order 2, simple B[2030]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,11,13,14],[1,4,5,6,9,12,13],[1,4,6,7,9,11,14],[1,4,6,8,10,12,14],[1,5,7,8,10,11,13],[1,5,7,9,10,12,13],[1,7,8,9,11,12,14],[2,3,7,9,12,13,14],[2,4,5,7,10,11,14],[2,4,6,7,10,12,13],[2,4,7,8,9,11,13],[2,5,6,8,9,12,14],[2,5,6,9,10,11,14],[2,6,8,10,11,12,13],[3,4,5,9,10,11,12],[3,4,5,11,12,13,14],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2030]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2031: autom. group order 2, simple B[2031]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,12,13,14],[1,4,5,6,9,12,14],[1,4,6,7,9,11,14],[1,4,6,8,10,11,13],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[1,7,8,9,11,12,13],[2,3,7,9,11,13,14],[2,4,5,7,10,11,13],[2,4,6,7,10,12,13],[2,4,7,8,9,12,14],[2,5,6,8,9,12,13],[2,5,6,9,10,11,14],[2,6,8,10,11,12,14],[3,4,5,9,10,11,12],[3,4,5,11,12,13,14],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2031]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2032: autom. group order 2, simple B[2032]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,11,13,14],[1,4,5,6,10,12,13],[1,4,6,7,9,11,14],[1,4,6,8,9,12,14],[1,5,7,8,9,12,13],[1,5,7,9,10,11,13],[1,7,8,10,11,12,14],[2,3,7,9,12,13,14],[2,4,5,7,9,11,14],[2,4,6,7,10,12,13],[2,4,7,8,10,11,13],[2,5,6,8,10,11,14],[2,5,6,9,10,12,14],[2,6,8,9,11,12,13],[3,4,5,9,10,11,12],[3,4,5,11,12,13,14],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2032]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2033: autom. group order 2, simple, residual B[2033]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,11,13,14],[1,4,5,6,10,12,13],[1,4,6,7,9,11,14],[1,4,6,8,9,12,14],[1,5,7,8,9,12,13],[1,5,7,10,11,12,14],[1,7,8,9,10,11,13],[2,3,7,9,12,13,14],[2,4,5,7,9,11,14],[2,4,6,7,10,12,13],[2,4,7,8,10,11,13],[2,5,6,8,10,11,14],[2,5,6,9,11,12,13],[2,6,8,9,10,12,14],[3,4,5,9,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,8,11,12],[3,4,8,11,12,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2033]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2034: autom. group order 2, simple, residual B[2034]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,12,13,14],[1,4,5,6,10,11,14],[1,4,6,7,9,11,14],[1,4,6,8,9,12,13],[1,5,7,8,9,12,14],[1,5,7,10,11,12,13],[1,7,8,9,10,11,13],[2,3,7,9,11,13,14],[2,4,5,7,9,12,13],[2,4,6,7,10,12,13],[2,4,7,8,10,11,14],[2,5,6,8,10,11,13],[2,5,6,9,11,12,14],[2,6,8,9,10,12,14],[3,4,5,9,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,8,11,12],[3,4,8,11,12,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2034]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2035: autom. group order 2, simple B[2035]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,11,13,14],[1,4,5,6,10,12,14],[1,4,6,7,9,11,14],[1,4,6,8,9,12,13],[1,5,7,8,10,11,13],[1,5,7,9,10,12,13],[1,7,8,9,11,12,14],[2,3,7,9,12,13,14],[2,4,5,7,9,11,13],[2,4,6,7,10,12,13],[2,4,7,8,10,11,14],[2,5,6,8,9,12,14],[2,5,6,9,10,11,14],[2,6,8,10,11,12,13],[3,4,5,9,10,11,12],[3,4,5,11,12,13,14],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2035]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2036: autom. group order 2, simple B[2036]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,12,13,14],[1,4,5,6,10,11,13],[1,4,6,7,9,11,14],[1,4,6,8,9,12,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[1,7,8,9,11,12,13],[2,3,7,9,11,13,14],[2,4,5,7,9,12,14],[2,4,6,7,10,12,13],[2,4,7,8,10,11,13],[2,5,6,8,9,12,13],[2,5,6,9,10,11,14],[2,6,8,10,11,12,14],[3,4,5,9,10,11,12],[3,4,5,11,12,13,14],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2036]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2037: autom. group order 2, simple, residual B[2037]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,11,13,14],[1,4,5,6,10,12,14],[1,4,6,7,9,11,14],[1,4,6,8,9,12,13],[1,5,7,8,10,11,13],[1,5,7,9,11,12,14],[1,7,8,9,10,12,13],[2,3,7,9,12,13,14],[2,4,5,7,9,11,13],[2,4,6,7,10,12,13],[2,4,7,8,10,11,14],[2,5,6,8,9,12,14],[2,5,6,10,11,12,13],[2,6,8,9,10,11,14],[3,4,5,9,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,8,11,12],[3,4,8,11,12,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2037]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2038: autom. group order 2, simple, residual B[2038]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,12,13,14],[1,4,5,6,10,11,13],[1,4,6,7,9,11,14],[1,4,6,8,9,12,14],[1,5,7,8,10,11,14],[1,5,7,9,11,12,13],[1,7,8,9,10,12,13],[2,3,7,9,11,13,14],[2,4,5,7,9,12,14],[2,4,6,7,10,12,13],[2,4,7,8,10,11,13],[2,5,6,8,9,12,13],[2,5,6,10,11,12,14],[2,6,8,9,10,11,14],[3,4,5,9,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,8,11,12],[3,4,8,11,12,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2038]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2039: autom. group order 2, simple B[2039]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,9,10,14],[1,3,6,7,8,10,14],[1,4,5,6,12,13,14],[1,4,6,7,9,11,12],[1,4,8,10,11,12,14],[1,5,6,8,10,11,13],[1,5,7,9,11,13,14],[1,7,8,9,10,12,13],[2,3,10,11,12,13,14],[2,4,5,8,9,12,13],[2,4,6,7,10,11,12],[2,4,6,8,11,13,14],[2,5,6,7,8,10,13],[2,5,7,9,10,11,14],[2,6,7,8,9,12,14],[3,4,5,7,8,11,14],[3,4,5,7,10,12,13],[3,4,6,9,10,13,14],[3,4,7,8,9,11,13],[3,5,6,8,9,12,14],[3,5,6,9,10,11,12]]; G[2039]:=Group([(2,10)(3,8)(5,14)(6,12)(7,11)]); # Design 2040: autom. group order 2, simple B[2040]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,10,13,14],[1,3,6,7,8,10,14],[1,4,5,6,9,12,14],[1,4,6,7,9,11,12],[1,4,8,10,11,12,14],[1,5,6,8,10,11,13],[1,5,7,9,11,13,14],[1,7,8,9,10,12,13],[2,3,9,10,11,12,14],[2,4,5,8,9,12,13],[2,4,6,7,10,11,12],[2,4,6,8,11,13,14],[2,5,6,7,8,9,10],[2,5,7,9,10,11,14],[2,6,7,8,12,13,14],[3,4,5,7,8,11,14],[3,4,5,7,10,12,13],[3,4,6,9,10,13,14],[3,4,7,8,9,11,13],[3,5,6,8,9,12,14],[3,5,6,10,11,12,13]]; G[2040]:=Group([(2,10)(3,8)(5,14)(6,12)(7,11)]); # Design 2041: autom. group order 2, simple, residual B[2041]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,9,12,14],[1,3,6,7,8,12,14],[1,4,5,6,11,13,14],[1,4,6,8,10,12,13],[1,4,7,9,12,13,14],[1,5,6,7,9,10,11],[1,5,8,10,11,13,14],[1,7,8,9,10,11,12],[2,3,10,11,12,13,14],[2,4,5,7,10,11,12],[2,4,6,7,8,10,13],[2,4,6,8,11,12,14],[2,5,6,8,9,10,14],[2,5,7,8,9,13,14],[2,6,7,9,11,12,13],[3,4,5,7,8,11,13],[3,4,5,9,10,12,13],[3,4,6,9,10,11,14],[3,4,7,8,9,11,14],[3,5,6,7,10,12,14],[3,5,6,8,9,12,13]]; G[2041]:=Group([(1,12)(3,11)(6,10)(9,14)]); # Design 2042: autom. group order 2, simple, residual B[2042]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,7,11,13,14],[1,4,5,6,9,10,13],[1,4,6,10,11,12,14],[1,4,7,8,10,12,13],[1,5,6,8,9,12,14],[1,5,7,9,10,11,14],[1,7,8,9,11,12,13],[2,3,9,10,12,13,14],[2,4,5,9,11,12,14],[2,4,6,7,8,11,14],[2,4,6,7,9,12,13],[2,5,6,10,11,12,13],[2,5,7,8,10,11,13],[2,6,7,8,9,10,14],[3,4,5,7,9,10,11],[3,4,5,7,12,13,14],[3,4,6,8,10,11,12],[3,4,8,9,11,13,14],[3,5,6,7,8,9,12],[3,5,6,8,10,13,14]]; G[2042]:=Group([(1,14)(2,13)(6,12)(10,11)]); # Design 2043: autom. group order 2, simple, residual B[2043]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,7,11,13,14],[1,4,5,6,9,10,13],[1,4,6,10,11,12,14],[1,4,7,8,11,12,13],[1,5,6,8,9,12,14],[1,5,7,9,10,11,14],[1,7,8,9,10,12,13],[2,3,9,10,12,13,14],[2,4,5,9,11,12,14],[2,4,6,7,8,10,14],[2,4,6,7,9,12,13],[2,5,6,10,11,12,13],[2,5,7,8,10,11,13],[2,6,7,8,9,11,14],[3,4,5,7,9,10,11],[3,4,5,7,12,13,14],[3,4,6,8,10,11,12],[3,4,8,9,11,13,14],[3,5,6,7,8,9,12],[3,5,6,8,10,13,14]]; G[2043]:=Group([(1,14)(2,13)(6,12)(10,11)]); # Design 2044: autom. group order 2, simple, residual B[2044]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,7,10,13,14],[1,4,5,6,10,11,13],[1,4,6,8,9,12,14],[1,4,7,9,11,12,13],[1,5,6,9,10,12,14],[1,5,7,8,9,11,14],[1,7,8,10,11,12,13],[2,3,9,11,12,13,14],[2,4,5,10,11,12,14],[2,4,6,7,8,12,13],[2,4,6,7,9,11,14],[2,5,6,9,10,12,13],[2,5,7,8,9,10,13],[2,6,7,8,10,11,14],[3,4,5,7,9,10,11],[3,4,5,7,12,13,14],[3,4,6,8,10,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,9,12],[3,5,6,8,11,13,14]]; G[2044]:=Group([(1,14)(2,13)(6,12)]); # Design 2045: autom. group order 2, simple, residual B[2045]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,7,10,13,14],[1,4,5,6,10,11,13],[1,4,6,9,11,12,14],[1,4,7,8,9,11,14],[1,5,6,9,10,12,14],[1,5,7,8,9,12,13],[1,7,8,10,11,12,13],[2,3,9,11,12,13,14],[2,4,5,10,11,12,14],[2,4,6,7,9,12,13],[2,4,6,8,10,12,13],[2,5,6,7,8,9,14],[2,5,7,9,10,11,13],[2,6,7,8,10,11,14],[3,4,5,7,9,10,11],[3,4,5,7,12,13,14],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,8,9,10,12],[3,5,6,8,11,13,14]]; G[2045]:=Group([(1,14)(2,13)(6,12)]); # Design 2046: autom. group order 2, simple, residual B[2046]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,7,11,13,14],[1,4,5,6,9,10,13],[1,4,6,10,11,12,14],[1,4,7,8,10,11,14],[1,5,6,8,9,12,14],[1,5,7,9,10,12,13],[1,7,8,9,11,12,13],[2,3,9,10,12,13,14],[2,4,5,9,11,12,14],[2,4,6,7,8,12,13],[2,4,6,10,11,12,13],[2,5,6,7,9,11,14],[2,5,7,8,10,11,13],[2,6,7,8,9,10,14],[3,4,5,7,9,10,11],[3,4,5,7,12,13,14],[3,4,6,7,8,9,12],[3,4,8,9,11,13,14],[3,5,6,8,10,11,12],[3,5,6,8,10,13,14]]; G[2046]:=Group([(1,14)(2,13)(6,12)(10,11)]); # Design 2047: autom. group order 2, simple B[2047]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,7,11,13,14],[1,4,5,6,9,10,13],[1,4,6,10,11,12,14],[1,4,7,8,10,12,13],[1,5,6,8,9,12,14],[1,5,7,9,10,11,14],[1,7,8,9,11,12,13],[2,3,9,10,12,13,14],[2,4,5,9,11,12,14],[2,4,6,7,8,11,14],[2,4,6,10,11,12,13],[2,5,6,7,9,12,13],[2,5,7,8,10,11,13],[2,6,7,8,9,10,14],[3,4,5,7,9,10,11],[3,4,5,7,12,13,14],[3,4,6,7,8,9,12],[3,4,8,9,11,13,14],[3,5,6,8,10,11,12],[3,5,6,8,10,13,14]]; G[2047]:=Group([(1,14)(2,13)(6,12)(10,11)]); # Design 2048: autom. group order 2, simple, residual B[2048]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,7,11,13,14],[1,4,5,6,9,10,13],[1,4,6,10,11,12,14],[1,4,7,8,10,11,14],[1,5,6,8,9,12,14],[1,5,7,9,11,12,13],[1,7,8,9,10,12,13],[2,3,9,10,12,13,14],[2,4,5,9,11,12,14],[2,4,6,7,8,12,13],[2,4,6,10,11,12,13],[2,5,6,7,9,10,14],[2,5,7,8,10,11,13],[2,6,7,8,9,11,14],[3,4,5,7,9,10,11],[3,4,5,7,12,13,14],[3,4,6,7,8,9,12],[3,4,8,9,11,13,14],[3,5,6,8,10,11,12],[3,5,6,8,10,13,14]]; G[2048]:=Group([(1,14)(2,13)(6,12)(10,11)]); # Design 2049: autom. group order 2, simple B[2049]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,7,11,13,14],[1,4,5,6,9,10,13],[1,4,6,10,11,12,14],[1,4,7,8,10,12,13],[1,5,6,8,9,12,14],[1,5,7,9,11,12,13],[1,7,8,9,10,11,14],[2,3,9,10,12,13,14],[2,4,5,9,11,12,14],[2,4,6,7,8,11,14],[2,4,6,10,11,12,13],[2,5,6,7,9,10,14],[2,5,7,8,10,11,13],[2,6,7,8,9,12,13],[3,4,5,7,9,10,11],[3,4,5,7,12,13,14],[3,4,6,7,8,9,12],[3,4,8,9,11,13,14],[3,5,6,8,10,11,12],[3,5,6,8,10,13,14]]; G[2049]:=Group([(1,14)(2,13)(6,12)(10,11)]); # Design 2050: autom. group order 2, simple B[2050]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,7,11,13,14],[1,4,5,6,9,10,13],[1,4,6,10,11,12,14],[1,4,7,8,11,12,13],[1,5,6,8,9,12,14],[1,5,7,9,10,11,14],[1,7,8,9,10,12,13],[2,3,9,10,12,13,14],[2,4,5,9,11,12,14],[2,4,6,7,8,10,14],[2,4,6,10,11,12,13],[2,5,6,7,9,12,13],[2,5,7,8,10,11,13],[2,6,7,8,9,11,14],[3,4,5,7,9,10,11],[3,4,5,7,12,13,14],[3,4,6,7,8,9,12],[3,4,8,9,11,13,14],[3,5,6,8,10,11,12],[3,5,6,8,10,13,14]]; G[2050]:=Group([(1,14)(2,13)(6,12)(10,11)]); # Design 2051: autom. group order 2, simple B[2051]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,7,11,13,14],[1,4,5,6,9,10,11],[1,4,6,8,12,13,14],[1,4,7,10,11,12,13],[1,5,6,9,10,12,14],[1,5,7,8,9,12,13],[1,7,8,9,10,11,14],[2,3,9,10,12,13,14],[2,4,5,10,11,13,14],[2,4,6,7,8,10,12],[2,4,6,9,11,12,14],[2,5,6,7,9,12,13],[2,5,7,8,9,11,14],[2,6,7,8,10,11,13],[3,4,5,7,9,10,13],[3,4,5,7,11,12,14],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,8,10,11,12],[3,5,6,8,10,13,14]]; G[2051]:=Group([(1,2)(5,8)(6,10)(7,9)(11,12)(13,14)]); # Design 2052: autom. group order 2, simple B[2052]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,7,11,13,14],[1,4,5,6,9,10,12],[1,4,6,8,12,13,14],[1,4,7,10,11,12,14],[1,5,6,9,10,11,14],[1,5,7,8,9,12,13],[1,7,8,9,10,11,13],[2,3,9,10,12,13,14],[2,4,5,10,11,13,14],[2,4,6,7,8,10,11],[2,4,6,9,11,12,13],[2,5,6,7,9,12,14],[2,5,7,8,9,11,14],[2,6,7,8,10,12,13],[3,4,5,7,9,10,13],[3,4,5,7,11,12,13],[3,4,6,7,8,9,14],[3,4,8,9,11,12,14],[3,5,6,8,10,11,12],[3,5,6,8,10,13,14]]; G[2052]:=Group([(1,2)(5,8)(6,10)(7,9)(11,12)(13,14)]); # Design 2053: autom. group order 2, simple B[2053]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,7,9,11],[1,4,6,10,11,13,14],[1,4,7,8,9,11,13],[1,5,6,7,8,10,12],[1,5,8,9,10,12,14],[1,7,8,11,12,13,14],[2,3,7,8,10,11,13],[2,4,5,8,10,11,12],[2,4,6,7,8,12,14],[2,4,6,8,9,12,13],[2,5,6,9,11,12,13],[2,5,7,9,10,11,14],[2,6,7,9,10,13,14],[3,4,5,7,12,13,14],[3,4,5,8,9,13,14],[3,4,6,10,11,12,14],[3,4,7,9,10,11,12],[3,5,6,7,8,10,13],[3,5,6,8,9,11,14]]; G[2053]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 2054: autom. group order 2, simple, residual B[2054]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,7,9,11],[1,4,6,10,11,12,14],[1,4,7,8,11,12,13],[1,5,6,7,8,10,13],[1,5,8,9,10,12,14],[1,7,8,9,11,13,14],[2,3,7,8,10,11,13],[2,4,5,8,9,10,11],[2,4,6,7,8,12,14],[2,4,6,8,9,12,13],[2,5,6,9,11,12,13],[2,5,7,10,11,12,14],[2,6,7,9,10,13,14],[3,4,5,7,9,13,14],[3,4,5,8,12,13,14],[3,4,6,10,11,13,14],[3,4,7,9,10,11,12],[3,5,6,7,8,10,12],[3,5,6,8,9,11,14]]; G[2054]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 2055: autom. group order 2, simple, residual B[2055]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,7,9,11],[1,4,6,10,11,13,14],[1,4,7,8,11,12,13],[1,5,6,7,8,10,12],[1,5,8,9,10,12,14],[1,7,8,9,11,13,14],[2,3,7,8,10,11,13],[2,4,5,8,9,10,11],[2,4,6,7,8,12,14],[2,4,6,8,9,12,13],[2,5,6,9,11,12,13],[2,5,7,10,11,12,14],[2,6,7,9,10,13,14],[3,4,5,7,9,13,14],[3,4,5,8,12,13,14],[3,4,6,10,11,12,14],[3,4,7,9,10,11,12],[3,5,6,7,8,10,13],[3,5,6,8,9,11,14]]; G[2055]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 2056: autom. group order 2, simple, residual B[2056]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,10,11],[1,4,6,11,12,13,14],[1,4,7,9,10,11,12],[1,5,6,7,8,9,14],[1,5,8,9,10,13,14],[1,7,8,9,11,12,13],[2,3,7,9,11,12,14],[2,4,5,8,9,11,14],[2,4,6,7,8,9,13],[2,4,6,9,10,12,14],[2,5,6,8,10,11,12],[2,5,7,10,11,13,14],[2,6,7,8,10,12,13],[3,4,5,7,8,12,13],[3,4,5,9,10,12,13],[3,4,6,8,11,13,14],[3,4,7,8,10,11,14],[3,5,6,7,9,12,14],[3,5,6,9,10,11,13]]; G[2056]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2057: autom. group order 2, simple, residual B[2057]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,11,14],[1,4,6,10,11,12,13],[1,4,7,8,9,11,14],[1,5,6,7,8,9,10],[1,5,9,10,12,13,14],[1,7,8,9,11,12,13],[2,3,7,9,10,11,14],[2,4,5,9,10,11,12],[2,4,6,7,9,12,13],[2,4,6,8,9,12,14],[2,5,6,8,11,12,14],[2,5,7,8,10,11,13],[2,6,7,8,10,13,14],[3,4,5,7,8,12,13],[3,4,5,8,9,13,14],[3,4,6,8,10,11,13],[3,4,7,10,11,12,14],[3,5,6,7,9,10,12],[3,5,6,9,11,13,14]]; G[2057]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2058: autom. group order 2, simple B[2058]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,10,11],[1,4,6,11,12,13,14],[1,4,7,8,9,11,12],[1,5,6,7,8,9,14],[1,5,8,9,10,13,14],[1,7,9,10,11,12,13],[2,3,7,9,11,12,14],[2,4,5,9,10,11,14],[2,4,6,7,8,9,13],[2,4,6,9,10,12,14],[2,5,6,8,10,11,12],[2,5,7,8,11,13,14],[2,6,7,8,10,12,13],[3,4,5,7,10,12,13],[3,4,5,8,9,12,13],[3,4,6,8,11,13,14],[3,4,7,8,10,11,14],[3,5,6,7,9,12,14],[3,5,6,9,10,11,13]]; G[2058]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2059: autom. group order 2, simple, residual B[2059]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,10,11],[1,4,6,11,12,13,14],[1,4,7,8,9,11,12],[1,5,6,7,8,9,14],[1,5,8,9,10,13,14],[1,7,9,10,11,12,13],[2,3,7,9,10,11,14],[2,4,5,9,11,12,14],[2,4,6,7,8,9,13],[2,4,6,9,10,12,14],[2,5,6,8,10,11,12],[2,5,7,8,11,13,14],[2,6,7,8,10,12,13],[3,4,5,7,10,12,13],[3,4,5,8,9,12,13],[3,4,6,8,11,13,14],[3,4,7,8,10,11,14],[3,5,6,7,9,12,14],[3,5,6,9,10,11,13]]; G[2059]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2060: autom. group order 2, simple, residual B[2060]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,10,11],[1,4,6,8,11,13,14],[1,4,7,9,10,11,12],[1,5,6,7,9,12,14],[1,5,8,9,10,13,14],[1,7,8,9,11,12,13],[2,3,7,9,11,12,14],[2,4,5,8,9,11,14],[2,4,6,7,8,9,13],[2,4,6,9,10,12,14],[2,5,6,8,10,11,12],[2,5,7,10,11,13,14],[2,6,7,8,10,12,13],[3,4,5,7,8,12,13],[3,4,5,9,10,12,13],[3,4,6,11,12,13,14],[3,4,7,8,10,11,14],[3,5,6,7,8,9,14],[3,5,6,9,10,11,13]]; G[2060]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2061: autom. group order 2, simple, residual B[2061]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,11,14],[1,4,6,8,10,11,13],[1,4,7,8,9,11,14],[1,5,6,7,9,10,12],[1,5,9,10,12,13,14],[1,7,8,9,11,12,13],[2,3,7,9,10,11,14],[2,4,5,9,10,11,12],[2,4,6,7,9,12,13],[2,4,6,8,9,12,14],[2,5,6,8,11,12,14],[2,5,7,8,10,11,13],[2,6,7,8,10,13,14],[3,4,5,7,8,12,13],[3,4,5,8,9,13,14],[3,4,6,10,11,12,13],[3,4,7,10,11,12,14],[3,5,6,7,8,9,10],[3,5,6,9,11,13,14]]; G[2061]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2062: autom. group order 2, simple B[2062]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,10,11],[1,4,6,8,11,13,14],[1,4,7,8,9,11,12],[1,5,6,7,9,12,14],[1,5,8,9,10,13,14],[1,7,9,10,11,12,13],[2,3,7,9,11,12,14],[2,4,5,9,10,11,14],[2,4,6,7,8,9,13],[2,4,6,9,10,12,14],[2,5,6,8,10,11,12],[2,5,7,8,11,13,14],[2,6,7,8,10,12,13],[3,4,5,7,10,12,13],[3,4,5,8,9,12,13],[3,4,6,11,12,13,14],[3,4,7,8,10,11,14],[3,5,6,7,8,9,14],[3,5,6,9,10,11,13]]; G[2062]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2063: autom. group order 2, simple, residual B[2063]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,10,11],[1,4,6,8,11,13,14],[1,4,7,8,9,11,12],[1,5,6,7,9,12,14],[1,5,8,9,10,13,14],[1,7,9,10,11,12,13],[2,3,7,9,10,11,14],[2,4,5,9,11,12,14],[2,4,6,7,8,9,13],[2,4,6,9,10,12,14],[2,5,6,8,10,11,12],[2,5,7,8,11,13,14],[2,6,7,8,10,12,13],[3,4,5,7,10,12,13],[3,4,5,8,9,12,13],[3,4,6,11,12,13,14],[3,4,7,8,10,11,14],[3,5,6,7,8,9,14],[3,5,6,9,10,11,13]]; G[2063]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2064: autom. group order 2, simple B[2064]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,7,9,11],[1,4,6,10,11,12,14],[1,4,7,8,9,11,13],[1,5,6,8,10,13,14],[1,5,7,8,9,10,12],[1,7,8,11,12,13,14],[2,3,7,8,10,11,13],[2,4,5,8,10,11,12],[2,4,6,7,8,12,14],[2,4,6,8,9,12,13],[2,5,6,9,11,12,13],[2,5,7,9,10,11,14],[2,6,7,9,10,13,14],[3,4,5,7,12,13,14],[3,4,5,8,9,13,14],[3,4,6,7,10,11,13],[3,4,9,10,11,12,14],[3,5,6,7,8,10,12],[3,5,6,8,9,11,14]]; G[2064]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 2065: autom. group order 2, simple B[2065]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,7,9,11],[1,4,6,10,11,13,14],[1,4,7,8,9,11,13],[1,5,6,8,10,12,14],[1,5,7,8,9,10,12],[1,7,8,11,12,13,14],[2,3,7,8,10,11,13],[2,4,5,8,10,11,12],[2,4,6,7,8,12,14],[2,4,6,8,9,12,13],[2,5,6,9,11,12,13],[2,5,7,9,10,11,14],[2,6,7,9,10,13,14],[3,4,5,7,12,13,14],[3,4,5,8,9,13,14],[3,4,6,7,10,11,12],[3,4,9,10,11,12,14],[3,5,6,7,8,10,13],[3,5,6,8,9,11,14]]; G[2065]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 2066: autom. group order 2, simple, residual B[2066]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,7,9,11],[1,4,6,10,11,12,14],[1,4,7,8,11,12,13],[1,5,6,8,10,13,14],[1,5,7,8,9,10,12],[1,7,8,9,11,13,14],[2,3,7,8,10,11,13],[2,4,5,8,9,10,11],[2,4,6,7,8,12,14],[2,4,6,8,9,12,13],[2,5,6,9,11,12,13],[2,5,7,10,11,12,14],[2,6,7,9,10,13,14],[3,4,5,7,9,13,14],[3,4,5,8,12,13,14],[3,4,6,7,10,11,13],[3,4,9,10,11,12,14],[3,5,6,7,8,10,12],[3,5,6,8,9,11,14]]; G[2066]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 2067: autom. group order 2, simple, residual B[2067]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,7,9,11],[1,4,6,10,11,13,14],[1,4,7,8,11,12,13],[1,5,6,8,10,12,14],[1,5,7,8,9,10,12],[1,7,8,9,11,13,14],[2,3,7,8,10,11,13],[2,4,5,8,9,10,11],[2,4,6,7,8,12,14],[2,4,6,8,9,12,13],[2,5,6,9,11,12,13],[2,5,7,10,11,12,14],[2,6,7,9,10,13,14],[3,4,5,7,9,13,14],[3,4,5,8,12,13,14],[3,4,6,7,10,11,12],[3,4,9,10,11,12,14],[3,5,6,7,8,10,13],[3,5,6,8,9,11,14]]; G[2067]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 2068: autom. group order 2, simple, residual B[2068]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,10,11],[1,4,6,11,12,13,14],[1,4,7,9,10,11,12],[1,5,6,8,9,13,14],[1,5,7,8,9,10,14],[1,7,8,9,11,12,13],[2,3,7,9,11,12,14],[2,4,5,8,9,11,14],[2,4,6,7,8,9,13],[2,4,6,9,10,12,14],[2,5,6,8,10,11,12],[2,5,7,10,11,13,14],[2,6,7,8,10,12,13],[3,4,5,7,8,12,13],[3,4,5,9,10,12,13],[3,4,6,7,8,11,14],[3,4,8,10,11,13,14],[3,5,6,7,9,12,14],[3,5,6,9,10,11,13]]; G[2068]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2069: autom. group order 2, simple, residual B[2069]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,11,14],[1,4,6,10,11,12,13],[1,4,7,8,9,11,14],[1,5,6,8,9,10,13],[1,5,7,9,10,12,14],[1,7,8,9,11,12,13],[2,3,7,9,10,11,14],[2,4,5,9,10,11,12],[2,4,6,7,9,12,13],[2,4,6,8,9,12,14],[2,5,6,8,11,12,14],[2,5,7,8,10,11,13],[2,6,7,8,10,13,14],[3,4,5,7,8,12,13],[3,4,5,8,9,13,14],[3,4,6,7,8,10,11],[3,4,10,11,12,13,14],[3,5,6,7,9,10,12],[3,5,6,9,11,13,14]]; G[2069]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2070: autom. group order 2, simple B[2070]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,10,11],[1,4,6,11,12,13,14],[1,4,7,8,9,11,12],[1,5,6,8,9,13,14],[1,5,7,8,9,10,14],[1,7,9,10,11,12,13],[2,3,7,9,11,12,14],[2,4,5,9,10,11,14],[2,4,6,7,8,9,13],[2,4,6,9,10,12,14],[2,5,6,8,10,11,12],[2,5,7,8,11,13,14],[2,6,7,8,10,12,13],[3,4,5,7,10,12,13],[3,4,5,8,9,12,13],[3,4,6,7,8,11,14],[3,4,8,10,11,13,14],[3,5,6,7,9,12,14],[3,5,6,9,10,11,13]]; G[2070]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2071: autom. group order 2, simple, residual B[2071]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,10,11],[1,4,6,11,12,13,14],[1,4,7,8,9,11,12],[1,5,6,8,9,13,14],[1,5,7,8,9,10,14],[1,7,9,10,11,12,13],[2,3,7,9,10,11,14],[2,4,5,9,11,12,14],[2,4,6,7,8,9,13],[2,4,6,9,10,12,14],[2,5,6,8,10,11,12],[2,5,7,8,11,13,14],[2,6,7,8,10,12,13],[3,4,5,7,10,12,13],[3,4,5,8,9,12,13],[3,4,6,7,8,11,14],[3,4,8,10,11,13,14],[3,5,6,7,9,12,14],[3,5,6,9,10,11,13]]; G[2071]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2072: autom. group order 2, simple, residual B[2072]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,10,11],[1,4,6,8,11,13,14],[1,4,7,9,10,11,12],[1,5,6,9,12,13,14],[1,5,7,8,9,10,14],[1,7,8,9,11,12,13],[2,3,7,9,11,12,14],[2,4,5,8,9,11,14],[2,4,6,7,8,9,13],[2,4,6,9,10,12,14],[2,5,6,8,10,11,12],[2,5,7,10,11,13,14],[2,6,7,8,10,12,13],[3,4,5,7,8,12,13],[3,4,5,9,10,12,13],[3,4,6,7,11,12,14],[3,4,8,10,11,13,14],[3,5,6,7,8,9,14],[3,5,6,9,10,11,13]]; G[2072]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2073: autom. group order 2, simple, residual B[2073]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,11,14],[1,4,6,8,10,11,13],[1,4,7,8,9,11,14],[1,5,6,9,10,12,13],[1,5,7,9,10,12,14],[1,7,8,9,11,12,13],[2,3,7,9,10,11,14],[2,4,5,9,10,11,12],[2,4,6,7,9,12,13],[2,4,6,8,9,12,14],[2,5,6,8,11,12,14],[2,5,7,8,10,11,13],[2,6,7,8,10,13,14],[3,4,5,7,8,12,13],[3,4,5,8,9,13,14],[3,4,6,7,10,11,12],[3,4,10,11,12,13,14],[3,5,6,7,8,9,10],[3,5,6,9,11,13,14]]; G[2073]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2074: autom. group order 2, simple B[2074]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,10,11],[1,4,6,8,11,13,14],[1,4,7,8,9,11,12],[1,5,6,9,12,13,14],[1,5,7,8,9,10,14],[1,7,9,10,11,12,13],[2,3,7,9,11,12,14],[2,4,5,9,10,11,14],[2,4,6,7,8,9,13],[2,4,6,9,10,12,14],[2,5,6,8,10,11,12],[2,5,7,8,11,13,14],[2,6,7,8,10,12,13],[3,4,5,7,10,12,13],[3,4,5,8,9,12,13],[3,4,6,7,11,12,14],[3,4,8,10,11,13,14],[3,5,6,7,8,9,14],[3,5,6,9,10,11,13]]; G[2074]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2075: autom. group order 2, simple, residual B[2075]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,10,11],[1,4,6,8,11,13,14],[1,4,7,8,9,11,12],[1,5,6,9,12,13,14],[1,5,7,8,9,10,14],[1,7,9,10,11,12,13],[2,3,7,9,10,11,14],[2,4,5,9,11,12,14],[2,4,6,7,8,9,13],[2,4,6,9,10,12,14],[2,5,6,8,10,11,12],[2,5,7,8,11,13,14],[2,6,7,8,10,12,13],[3,4,5,7,10,12,13],[3,4,5,8,9,12,13],[3,4,6,7,11,12,14],[3,4,8,10,11,13,14],[3,5,6,7,8,9,14],[3,5,6,9,10,11,13]]; G[2075]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2076: autom. group order 2, simple B[2076]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,9,12,13,14],[1,4,5,6,7,10,11],[1,4,6,8,11,13,14],[1,4,9,10,11,12,14],[1,5,6,7,9,10,14],[1,5,7,8,9,12,13],[1,7,8,10,11,12,13],[2,3,7,10,11,13,14],[2,4,5,10,12,13,14],[2,4,6,7,11,12,13],[2,4,6,8,9,10,12],[2,5,6,9,11,12,14],[2,5,7,8,9,11,14],[2,6,7,8,9,10,13],[3,4,5,7,9,12,13],[3,4,5,9,10,11,13],[3,4,6,7,8,12,14],[3,4,7,8,9,11,14],[3,5,6,8,10,11,12],[3,5,6,8,10,13,14]]; G[2076]:=Group([(1,2)(5,8)(6,10)(7,9)(11,12)(13,14)]); # Design 2077: autom. group order 2, simple B[2077]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,9,11,14],[1,4,6,7,10,11,12],[1,4,7,8,9,11,13],[1,5,6,7,8,10,13],[1,5,7,8,12,13,14],[1,8,9,10,11,12,14],[2,3,7,8,10,11,13],[2,4,5,8,10,11,12],[2,4,6,7,8,12,14],[2,4,6,8,9,12,13],[2,5,6,9,11,12,13],[2,5,7,9,10,11,14],[2,6,7,9,10,13,14],[3,4,5,7,9,10,12],[3,4,5,8,9,13,14],[3,4,6,10,11,13,14],[3,4,7,11,12,13,14],[3,5,6,7,8,9,11],[3,5,6,8,10,12,14]]; G[2077]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 2078: autom. group order 2, simple B[2078]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,9,11,14],[1,4,6,7,10,11,13],[1,4,7,8,9,11,13],[1,5,6,7,8,10,12],[1,5,7,8,12,13,14],[1,8,9,10,11,12,14],[2,3,7,8,10,11,13],[2,4,5,8,10,11,12],[2,4,6,7,8,12,14],[2,4,6,8,9,12,13],[2,5,6,9,11,12,13],[2,5,7,9,10,11,14],[2,6,7,9,10,13,14],[3,4,5,7,9,10,12],[3,4,5,8,9,13,14],[3,4,6,10,11,12,14],[3,4,7,11,12,13,14],[3,5,6,7,8,9,11],[3,5,6,8,10,13,14]]; G[2078]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 2079: autom. group order 2, simple, residual B[2079]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,6,10,11,13],[1,4,6,7,11,12,14],[1,4,7,9,10,11,12],[1,5,6,7,8,9,14],[1,5,7,8,9,12,13],[1,8,9,10,11,13,14],[2,3,7,9,11,12,14],[2,4,5,8,9,11,14],[2,4,6,7,8,9,13],[2,4,6,9,10,12,14],[2,5,6,8,10,11,12],[2,5,7,10,11,13,14],[2,6,7,8,10,12,13],[3,4,5,7,8,10,14],[3,4,5,9,10,12,13],[3,4,6,8,11,13,14],[3,4,7,8,11,12,13],[3,5,6,7,9,10,11],[3,5,6,9,12,13,14]]; G[2079]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2080: autom. group order 2, simple B[2080]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,6,10,11,13],[1,4,6,7,11,12,14],[1,4,7,8,9,11,12],[1,5,6,7,8,9,14],[1,5,7,9,10,12,13],[1,8,9,10,11,13,14],[2,3,7,9,11,12,14],[2,4,5,9,10,11,14],[2,4,6,7,8,9,13],[2,4,6,9,10,12,14],[2,5,6,8,10,11,12],[2,5,7,8,11,13,14],[2,6,7,8,10,12,13],[3,4,5,7,8,10,14],[3,4,5,8,9,12,13],[3,4,6,8,11,13,14],[3,4,7,10,11,12,13],[3,5,6,7,9,10,11],[3,5,6,9,12,13,14]]; G[2080]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2081: autom. group order 2, simple, residual B[2081]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,14],[1,4,5,6,10,11,13],[1,4,6,7,11,12,14],[1,4,7,8,9,11,12],[1,5,6,7,8,9,14],[1,5,7,9,10,12,13],[1,8,9,10,11,13,14],[2,3,7,9,10,11,14],[2,4,5,9,11,12,14],[2,4,6,7,8,9,13],[2,4,6,9,10,12,14],[2,5,6,8,10,11,12],[2,5,7,8,11,13,14],[2,6,7,8,10,12,13],[3,4,5,7,8,10,14],[3,4,5,8,9,12,13],[3,4,6,8,11,13,14],[3,4,7,10,11,12,13],[3,5,6,7,9,10,11],[3,5,6,9,12,13,14]]; G[2081]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2082: autom. group order 2, simple, residual B[2082]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,14],[1,4,5,6,11,13,14],[1,4,6,7,10,11,12],[1,4,7,8,9,11,14],[1,5,6,7,8,9,10],[1,5,7,8,9,12,13],[1,9,10,11,12,13,14],[2,3,7,9,10,11,14],[2,4,5,9,10,11,12],[2,4,6,7,9,12,13],[2,4,6,8,9,12,14],[2,5,6,8,11,12,14],[2,5,7,8,10,11,13],[2,6,7,8,10,13,14],[3,4,5,7,10,12,14],[3,4,5,8,9,13,14],[3,4,6,8,10,11,13],[3,4,7,8,11,12,13],[3,5,6,7,9,11,14],[3,5,6,9,10,12,13]]; G[2082]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2083: autom. group order 2, simple, residual B[2083]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,6,10,11,13],[1,4,6,7,8,11,14],[1,4,7,9,10,11,12],[1,5,6,7,9,12,14],[1,5,7,8,9,12,13],[1,8,9,10,11,13,14],[2,3,7,9,11,12,14],[2,4,5,8,9,11,14],[2,4,6,7,8,9,13],[2,4,6,9,10,12,14],[2,5,6,8,10,11,12],[2,5,7,10,11,13,14],[2,6,7,8,10,12,13],[3,4,5,7,8,10,14],[3,4,5,9,10,12,13],[3,4,6,11,12,13,14],[3,4,7,8,11,12,13],[3,5,6,7,9,10,11],[3,5,6,8,9,13,14]]; G[2083]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2084: autom. group order 2, simple B[2084]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,6,10,11,13],[1,4,6,7,8,11,14],[1,4,7,8,9,11,12],[1,5,6,7,9,12,14],[1,5,7,9,10,12,13],[1,8,9,10,11,13,14],[2,3,7,9,11,12,14],[2,4,5,9,10,11,14],[2,4,6,7,8,9,13],[2,4,6,9,10,12,14],[2,5,6,8,10,11,12],[2,5,7,8,11,13,14],[2,6,7,8,10,12,13],[3,4,5,7,8,10,14],[3,4,5,8,9,12,13],[3,4,6,11,12,13,14],[3,4,7,10,11,12,13],[3,5,6,7,9,10,11],[3,5,6,8,9,13,14]]; G[2084]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2085: autom. group order 2, simple, residual B[2085]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,14],[1,4,5,6,10,11,13],[1,4,6,7,8,11,14],[1,4,7,8,9,11,12],[1,5,6,7,9,12,14],[1,5,7,9,10,12,13],[1,8,9,10,11,13,14],[2,3,7,9,10,11,14],[2,4,5,9,11,12,14],[2,4,6,7,8,9,13],[2,4,6,9,10,12,14],[2,5,6,8,10,11,12],[2,5,7,8,11,13,14],[2,6,7,8,10,12,13],[3,4,5,7,8,10,14],[3,4,5,8,9,12,13],[3,4,6,11,12,13,14],[3,4,7,10,11,12,13],[3,5,6,7,9,10,11],[3,5,6,8,9,13,14]]; G[2085]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2086: autom. group order 2, simple, residual B[2086]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,14],[1,4,5,6,11,13,14],[1,4,6,7,8,10,11],[1,4,7,8,9,11,14],[1,5,6,7,9,10,12],[1,5,7,8,9,12,13],[1,9,10,11,12,13,14],[2,3,7,9,10,11,14],[2,4,5,9,10,11,12],[2,4,6,7,9,12,13],[2,4,6,8,9,12,14],[2,5,6,8,11,12,14],[2,5,7,8,10,11,13],[2,6,7,8,10,13,14],[3,4,5,7,10,12,14],[3,4,5,8,9,13,14],[3,4,6,10,11,12,13],[3,4,7,8,11,12,13],[3,5,6,7,9,11,14],[3,5,6,8,9,10,13]]; G[2086]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2087: autom. group order 2, simple, residual B[2087]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,6,9,10,12],[1,4,6,7,8,11,13],[1,4,7,9,11,12,14],[1,5,6,8,10,12,14],[1,5,7,8,9,11,13],[1,7,8,10,12,13,14],[2,3,7,8,10,12,13],[2,4,5,7,8,10,11],[2,4,6,7,9,12,13],[2,4,6,8,11,12,14],[2,5,6,8,9,12,13],[2,5,7,9,10,11,14],[2,6,9,10,11,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2087]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2088: autom. group order 2, simple B[2088]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,6,9,12,13],[1,4,6,7,8,10,12],[1,4,7,9,11,13,14],[1,5,6,8,10,11,12],[1,5,7,8,9,12,14],[1,7,8,10,11,13,14],[2,3,7,8,10,12,13],[2,4,5,7,8,11,13],[2,4,6,7,9,10,11],[2,4,6,8,12,13,14],[2,5,6,8,9,11,14],[2,5,7,9,10,11,12],[2,6,9,10,12,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2088]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2089: autom. group order 2, simple B[2089]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,9,11,13],[1,4,6,7,8,10,12],[1,4,7,9,11,13,14],[1,5,6,8,10,11,12],[1,5,7,8,9,12,14],[1,7,8,10,11,13,14],[2,3,7,8,10,11,13],[2,4,5,7,8,12,13],[2,4,6,7,9,10,11],[2,4,6,8,12,13,14],[2,5,6,8,9,11,14],[2,5,7,9,10,11,12],[2,6,9,10,12,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2089]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2090: autom. group order 2, simple, residual B[2090]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,6,9,10,12],[1,4,6,7,8,11,13],[1,4,7,8,11,12,14],[1,5,6,8,10,12,14],[1,5,7,8,9,12,13],[1,7,9,10,11,13,14],[2,3,7,8,10,12,13],[2,4,5,7,8,10,11],[2,4,6,7,9,12,13],[2,4,6,9,11,12,14],[2,5,6,8,9,11,13],[2,5,7,9,10,11,14],[2,6,8,10,12,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2090]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2091: autom. group order 2, simple, residual B[2091]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,9,10,11],[1,4,6,7,8,11,13],[1,4,7,8,11,12,14],[1,5,6,8,10,12,14],[1,5,7,8,9,12,13],[1,7,9,10,11,13,14],[2,3,7,8,10,11,13],[2,4,5,7,8,10,12],[2,4,6,7,9,12,13],[2,4,6,9,11,12,14],[2,5,6,8,9,11,13],[2,5,7,9,10,11,14],[2,6,8,10,12,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2091]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2092: autom. group order 2, simple B[2092]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,6,9,12,13],[1,4,6,7,8,10,12],[1,4,7,8,11,13,14],[1,5,6,8,10,11,12],[1,5,7,8,9,12,14],[1,7,9,10,11,13,14],[2,3,7,8,10,12,13],[2,4,5,7,8,11,13],[2,4,6,7,9,10,11],[2,4,6,9,12,13,14],[2,5,6,8,9,11,14],[2,5,7,9,10,11,12],[2,6,8,10,12,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2092]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2093: autom. group order 2, simple B[2093]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,9,11,13],[1,4,6,7,8,10,12],[1,4,7,8,11,13,14],[1,5,6,8,10,11,12],[1,5,7,8,9,12,14],[1,7,9,10,11,13,14],[2,3,7,8,10,11,13],[2,4,5,7,8,12,13],[2,4,6,7,9,10,11],[2,4,6,9,12,13,14],[2,5,6,8,9,11,14],[2,5,7,9,10,11,12],[2,6,8,10,12,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2093]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2094: autom. group order 2, simple, residual B[2094]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,8,10,12],[1,4,6,7,9,11,13],[1,4,7,9,11,12,14],[1,5,6,8,9,11,13],[1,5,7,8,10,11,14],[1,7,8,10,12,13,14],[2,3,7,8,10,11,13],[2,4,5,7,9,10,11],[2,4,6,7,8,12,13],[2,4,6,8,11,12,14],[2,5,6,9,10,12,14],[2,5,7,8,9,12,13],[2,6,9,10,11,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2094]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2095: autom. group order 2, simple, residual B[2095]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,8,10,12],[1,4,6,7,9,11,13],[1,4,7,9,11,12,14],[1,5,6,8,9,11,13],[1,5,7,8,10,12,14],[1,7,8,10,11,13,14],[2,3,7,8,10,11,13],[2,4,5,7,9,10,11],[2,4,6,7,8,12,13],[2,4,6,8,11,12,14],[2,5,6,9,10,11,14],[2,5,7,8,9,12,13],[2,6,9,10,12,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2095]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2096: autom. group order 2, simple B[2096]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,6,8,12,13],[1,4,6,7,9,10,11],[1,4,7,9,12,13,14],[1,5,6,8,9,12,14],[1,5,7,8,10,11,12],[1,7,8,10,11,13,14],[2,3,7,8,10,12,13],[2,4,5,7,9,11,13],[2,4,6,7,8,10,12],[2,4,6,8,11,13,14],[2,5,6,9,10,11,12],[2,5,7,8,9,11,14],[2,6,9,10,12,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2096]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2097: autom. group order 2, simple, residual B[2097]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,6,8,10,12],[1,4,6,7,9,11,13],[1,4,7,8,11,12,14],[1,5,6,8,9,12,13],[1,5,7,9,10,12,14],[1,7,8,10,11,13,14],[2,3,7,8,10,12,13],[2,4,5,7,9,10,11],[2,4,6,7,8,12,13],[2,4,6,9,11,12,14],[2,5,6,8,10,11,14],[2,5,7,8,9,11,13],[2,6,9,10,12,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2097]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2098: autom. group order 2, simple, residual B[2098]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,8,10,11],[1,4,6,7,9,11,13],[1,4,7,8,11,12,14],[1,5,6,8,9,12,13],[1,5,7,9,10,11,14],[1,7,8,10,12,13,14],[2,3,7,8,10,11,13],[2,4,5,7,9,10,12],[2,4,6,7,8,12,13],[2,4,6,9,11,12,14],[2,5,6,8,10,12,14],[2,5,7,8,9,11,13],[2,6,9,10,11,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2098]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2099: autom. group order 2, simple B[2099]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,8,12,13],[1,4,6,7,9,10,11],[1,4,7,8,11,13,14],[1,5,6,8,9,11,14],[1,5,7,9,10,11,12],[1,7,8,10,12,13,14],[2,3,7,8,10,11,13],[2,4,5,7,9,11,13],[2,4,6,7,8,10,12],[2,4,6,9,12,13,14],[2,5,6,8,10,11,12],[2,5,7,8,9,12,14],[2,6,9,10,11,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2099]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2100: autom. group order 2, simple B[2100]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,8,12,13],[1,4,6,7,9,10,11],[1,4,7,8,12,13,14],[1,5,6,8,9,11,14],[1,5,7,9,10,11,12],[1,7,8,10,11,13,14],[2,3,7,8,10,11,13],[2,4,5,7,9,11,13],[2,4,6,7,8,10,12],[2,4,6,9,11,13,14],[2,5,6,8,10,11,12],[2,5,7,8,9,12,14],[2,6,9,10,12,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2100]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2101: autom. group order 2, simple, residual B[2101]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,6,8,10,12],[1,4,6,7,9,11,13],[1,4,7,8,11,12,14],[1,5,6,8,9,12,13],[1,5,7,8,10,11,14],[1,7,9,10,12,13,14],[2,3,7,8,10,12,13],[2,4,5,7,9,10,11],[2,4,6,7,8,12,13],[2,4,6,9,11,12,14],[2,5,6,9,10,12,14],[2,5,7,8,9,11,13],[2,6,8,10,11,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2101]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2102: autom. group order 2, simple, residual B[2102]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,8,10,11],[1,4,6,7,9,11,13],[1,4,7,8,11,12,14],[1,5,6,8,9,12,13],[1,5,7,8,10,12,14],[1,7,9,10,11,13,14],[2,3,7,8,10,11,13],[2,4,5,7,9,10,12],[2,4,6,7,8,12,13],[2,4,6,9,11,12,14],[2,5,6,9,10,11,14],[2,5,7,8,9,11,13],[2,6,8,10,12,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2102]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2103: autom. group order 2, simple B[2103]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,6,8,12,13],[1,4,6,7,9,10,11],[1,4,7,8,11,13,14],[1,5,6,8,9,12,14],[1,5,7,8,10,11,12],[1,7,9,10,12,13,14],[2,3,7,8,10,12,13],[2,4,5,7,9,11,13],[2,4,6,7,8,10,12],[2,4,6,9,12,13,14],[2,5,6,9,10,11,12],[2,5,7,8,9,11,14],[2,6,8,10,11,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2103]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2104: autom. group order 2, simple, residual B[2104]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,6,8,10,12],[1,4,6,7,8,11,13],[1,4,7,9,11,12,14],[1,5,6,9,10,12,14],[1,5,7,8,9,11,13],[1,7,8,10,12,13,14],[2,3,7,8,10,12,13],[2,4,5,7,9,10,11],[2,4,6,7,9,12,13],[2,4,6,8,11,12,14],[2,5,6,8,9,12,13],[2,5,7,8,10,11,14],[2,6,9,10,11,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2104]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2105: autom. group order 2, simple B[2105]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,6,8,12,13],[1,4,6,7,8,10,12],[1,4,7,9,12,13,14],[1,5,6,9,10,11,12],[1,5,7,8,9,11,14],[1,7,8,10,11,13,14],[2,3,7,8,10,12,13],[2,4,5,7,9,11,13],[2,4,6,7,9,10,11],[2,4,6,8,11,13,14],[2,5,6,8,9,12,14],[2,5,7,8,10,11,12],[2,6,9,10,12,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2105]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2106: autom. group order 2, simple B[2106]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,8,11,13],[1,4,6,7,8,10,12],[1,4,7,9,11,13,14],[1,5,6,9,10,11,12],[1,5,7,8,9,11,14],[1,7,8,10,12,13,14],[2,3,7,8,10,11,13],[2,4,5,7,9,12,13],[2,4,6,7,9,10,11],[2,4,6,8,12,13,14],[2,5,6,8,9,12,14],[2,5,7,8,10,11,12],[2,6,9,10,11,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2106]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2107: autom. group order 2, simple, residual B[2107]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,6,8,10,12],[1,4,6,7,8,11,13],[1,4,7,8,11,12,14],[1,5,6,9,10,12,14],[1,5,7,8,9,12,13],[1,7,9,10,11,13,14],[2,3,7,8,10,12,13],[2,4,5,7,9,10,11],[2,4,6,7,9,12,13],[2,4,6,9,11,12,14],[2,5,6,8,9,11,13],[2,5,7,8,10,11,14],[2,6,8,10,12,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2107]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2108: autom. group order 2, simple, residual B[2108]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,8,10,12],[1,4,6,7,8,11,13],[1,4,7,8,11,12,14],[1,5,6,9,10,11,14],[1,5,7,8,9,12,13],[1,7,9,10,11,13,14],[2,3,7,8,10,11,13],[2,4,5,7,9,10,11],[2,4,6,7,9,12,13],[2,4,6,9,11,12,14],[2,5,6,8,9,11,13],[2,5,7,8,10,12,14],[2,6,8,10,12,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2108]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2109: autom. group order 2, simple B[2109]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,6,8,12,13],[1,4,6,7,8,10,12],[1,4,7,8,11,13,14],[1,5,6,9,10,11,12],[1,5,7,8,9,11,14],[1,7,9,10,12,13,14],[2,3,7,8,10,12,13],[2,4,5,7,9,11,13],[2,4,6,7,9,10,11],[2,4,6,9,12,13,14],[2,5,6,8,9,12,14],[2,5,7,8,10,11,12],[2,6,8,10,11,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2109]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2110: autom. group order 2, simple B[2110]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,8,11,13],[1,4,6,7,8,10,12],[1,4,7,8,12,13,14],[1,5,6,9,10,11,12],[1,5,7,8,9,11,14],[1,7,9,10,11,13,14],[2,3,7,8,10,11,13],[2,4,5,7,9,12,13],[2,4,6,7,9,10,11],[2,4,6,9,11,13,14],[2,5,6,8,9,12,14],[2,5,7,8,10,11,12],[2,6,8,10,12,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2110]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2111: autom. group order 2, simple, residual B[2111]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,6,9,10,12],[1,4,6,7,9,11,13],[1,4,7,9,11,12,14],[1,5,6,8,9,11,13],[1,5,7,8,10,11,14],[1,7,8,10,12,13,14],[2,3,7,9,10,11,13],[2,4,5,7,8,10,11],[2,4,6,7,8,12,13],[2,4,6,8,11,12,14],[2,5,6,9,10,12,14],[2,5,7,8,9,12,13],[2,6,9,10,11,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2111]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2112: autom. group order 2, simple, residual B[2112]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,6,9,10,12],[1,4,6,7,9,11,13],[1,4,7,9,11,12,14],[1,5,6,8,9,11,13],[1,5,7,8,10,12,14],[1,7,8,10,11,13,14],[2,3,7,9,10,11,13],[2,4,5,7,8,10,11],[2,4,6,7,8,12,13],[2,4,6,8,11,12,14],[2,5,6,9,10,11,14],[2,5,7,8,9,12,13],[2,6,9,10,12,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2112]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2113: autom. group order 2, simple B[2113]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,6,9,11,13],[1,4,6,7,9,10,11],[1,4,7,9,12,13,14],[1,5,6,8,9,12,14],[1,5,7,8,10,11,12],[1,7,8,10,11,13,14],[2,3,7,9,10,11,13],[2,4,5,7,8,12,13],[2,4,6,7,8,10,12],[2,4,6,8,11,13,14],[2,5,6,9,10,11,12],[2,5,7,8,9,11,14],[2,6,9,10,12,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2113]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2114: autom. group order 2, simple, residual B[2114]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,6,9,10,11],[1,4,6,7,9,11,13],[1,4,7,8,11,12,14],[1,5,6,8,9,12,13],[1,5,7,9,10,12,14],[1,7,8,10,11,13,14],[2,3,7,9,10,11,13],[2,4,5,7,8,10,12],[2,4,6,7,8,12,13],[2,4,6,9,11,12,14],[2,5,6,8,10,11,14],[2,5,7,8,9,11,13],[2,6,9,10,12,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2114]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2115: autom. group order 2, simple, residual B[2115]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,6,9,10,11],[1,4,6,7,9,11,13],[1,4,7,8,11,12,14],[1,5,6,8,9,12,13],[1,5,7,8,10,11,14],[1,7,9,10,12,13,14],[2,3,7,9,10,11,13],[2,4,5,7,8,10,12],[2,4,6,7,8,12,13],[2,4,6,9,11,12,14],[2,5,6,9,10,12,14],[2,5,7,8,9,11,13],[2,6,8,10,11,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2115]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2116: autom. group order 2, simple B[2116]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,6,9,11,13],[1,4,6,7,9,10,11],[1,4,7,8,11,13,14],[1,5,6,8,9,12,14],[1,5,7,8,10,11,12],[1,7,9,10,12,13,14],[2,3,7,9,10,11,13],[2,4,5,7,8,12,13],[2,4,6,7,8,10,12],[2,4,6,9,12,13,14],[2,5,6,9,10,11,12],[2,5,7,8,9,11,14],[2,6,8,10,11,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2116]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2117: autom. group order 2, simple, residual B[2117]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,6,9,10,11],[1,4,6,7,8,11,13],[1,4,7,9,11,12,14],[1,5,6,9,10,12,14],[1,5,7,8,9,11,13],[1,7,8,10,12,13,14],[2,3,7,9,10,11,13],[2,4,5,7,8,10,12],[2,4,6,7,9,12,13],[2,4,6,8,11,12,14],[2,5,6,8,9,12,13],[2,5,7,8,10,11,14],[2,6,9,10,11,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2117]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2118: autom. group order 2, simple, residual B[2118]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,6,9,10,12],[1,4,6,7,8,11,13],[1,4,7,9,11,12,14],[1,5,6,9,10,11,14],[1,5,7,8,9,11,13],[1,7,8,10,12,13,14],[2,3,7,9,10,11,13],[2,4,5,7,8,10,11],[2,4,6,7,9,12,13],[2,4,6,8,11,12,14],[2,5,6,8,9,12,13],[2,5,7,8,10,12,14],[2,6,9,10,11,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2118]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2119: autom. group order 2, simple B[2119]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,6,9,11,13],[1,4,6,7,8,10,12],[1,4,7,9,12,13,14],[1,5,6,9,10,11,12],[1,5,7,8,9,11,14],[1,7,8,10,11,13,14],[2,3,7,9,10,11,13],[2,4,5,7,8,12,13],[2,4,6,7,9,10,11],[2,4,6,8,11,13,14],[2,5,6,8,9,12,14],[2,5,7,8,10,11,12],[2,6,9,10,12,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2119]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2120: autom. group order 2, simple, residual B[2120]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,6,9,10,11],[1,4,6,7,8,11,13],[1,4,7,8,11,12,14],[1,5,6,9,10,12,14],[1,5,7,8,9,12,13],[1,7,9,10,11,13,14],[2,3,7,9,10,11,13],[2,4,5,7,8,10,12],[2,4,6,7,9,12,13],[2,4,6,9,11,12,14],[2,5,6,8,9,11,13],[2,5,7,8,10,11,14],[2,6,8,10,12,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2120]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2121: autom. group order 2, simple, residual B[2121]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,6,9,10,12],[1,4,6,7,8,11,13],[1,4,7,8,11,12,14],[1,5,6,9,10,11,14],[1,5,7,8,9,12,13],[1,7,9,10,11,13,14],[2,3,7,9,10,11,13],[2,4,5,7,8,10,11],[2,4,6,7,9,12,13],[2,4,6,9,11,12,14],[2,5,6,8,9,11,13],[2,5,7,8,10,12,14],[2,6,8,10,12,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2121]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2122: autom. group order 2, simple B[2122]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,6,9,11,13],[1,4,6,7,8,10,12],[1,4,7,8,11,13,14],[1,5,6,9,10,11,12],[1,5,7,8,9,11,14],[1,7,9,10,12,13,14],[2,3,7,9,10,11,13],[2,4,5,7,8,12,13],[2,4,6,7,9,10,11],[2,4,6,9,12,13,14],[2,5,6,8,9,12,14],[2,5,7,8,10,11,12],[2,6,8,10,11,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2122]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2123: autom. group order 2, simple, residual B[2123]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,9,12,13,14],[1,4,5,6,10,11,14],[1,4,6,7,9,12,14],[1,4,7,8,9,11,13],[1,5,6,10,11,12,13],[1,5,7,8,10,12,13],[1,7,8,9,10,11,14],[2,3,7,10,11,13,14],[2,4,5,7,9,12,13],[2,4,6,7,10,11,13],[2,4,6,8,10,12,14],[2,5,6,8,9,11,14],[2,5,7,9,11,12,14],[2,6,8,9,10,12,13],[3,4,5,9,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,8,11,12],[3,4,8,11,12,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2123]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2124: autom. group order 2, simple, residual B[2124]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,9,12,13,14],[1,4,5,6,10,11,14],[1,4,6,7,9,12,14],[1,4,7,8,10,12,13],[1,5,6,10,11,12,13],[1,5,7,8,9,11,13],[1,7,8,9,10,11,14],[2,3,7,10,11,13,14],[2,4,5,7,9,12,13],[2,4,6,7,10,11,13],[2,4,6,8,9,11,14],[2,5,6,8,10,12,14],[2,5,7,9,11,12,14],[2,6,8,9,10,12,13],[3,4,5,9,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,8,11,12],[3,4,8,11,12,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2124]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2125: autom. group order 2, simple B[2125]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,9,12,13,14],[1,4,5,6,10,12,13],[1,4,6,7,10,11,14],[1,4,7,8,9,12,14],[1,5,6,9,10,11,14],[1,5,7,8,9,11,13],[1,7,8,10,11,12,13],[2,3,7,10,11,13,14],[2,4,5,7,9,11,14],[2,4,6,7,9,12,13],[2,4,6,8,10,11,13],[2,5,6,8,10,12,14],[2,5,7,9,10,12,13],[2,6,8,9,11,12,14],[3,4,5,9,10,11,12],[3,4,5,11,12,13,14],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2125]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2126: autom. group order 2, simple B[2126]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,9,12,13,14],[1,4,5,6,10,11,13],[1,4,6,7,10,11,14],[1,4,7,8,9,11,14],[1,5,6,9,10,12,14],[1,5,7,8,10,12,13],[1,7,8,9,11,12,13],[2,3,7,10,11,13,14],[2,4,5,7,9,12,14],[2,4,6,7,9,12,13],[2,4,6,8,10,12,13],[2,5,6,8,9,11,14],[2,5,7,9,10,11,13],[2,6,8,10,11,12,14],[3,4,5,9,10,11,12],[3,4,5,11,12,13,14],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2126]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2127: autom. group order 2, simple B[2127]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,9,12,13,14],[1,4,5,6,10,11,13],[1,4,6,7,10,11,14],[1,4,7,8,10,12,13],[1,5,6,9,10,12,14],[1,5,7,8,9,11,14],[1,7,8,9,11,12,13],[2,3,7,10,11,13,14],[2,4,5,7,9,12,14],[2,4,6,7,9,12,13],[2,4,6,8,9,11,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,13],[2,6,8,10,11,12,14],[3,4,5,9,10,11,12],[3,4,5,11,12,13,14],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2127]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2128: autom. group order 2, simple, residual B[2128]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,11,13,14],[1,4,5,6,9,12,13],[1,4,6,7,9,12,14],[1,4,7,8,9,11,14],[1,5,6,10,11,12,14],[1,5,7,8,10,12,13],[1,7,8,9,10,11,13],[2,3,7,9,12,13,14],[2,4,5,7,10,11,14],[2,4,6,7,10,11,13],[2,4,6,8,10,12,13],[2,5,6,8,9,11,14],[2,5,7,9,11,12,13],[2,6,8,9,10,12,14],[3,4,5,9,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,8,11,12],[3,4,8,11,12,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2128]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2129: autom. group order 2, simple, residual B[2129]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,12,13,14],[1,4,5,6,9,11,14],[1,4,6,7,9,12,14],[1,4,7,8,9,12,13],[1,5,6,10,11,12,13],[1,5,7,8,10,11,14],[1,7,8,9,10,11,13],[2,3,7,9,11,13,14],[2,4,5,7,10,12,13],[2,4,6,7,10,11,13],[2,4,6,8,10,11,14],[2,5,6,8,9,12,13],[2,5,7,9,11,12,14],[2,6,8,9,10,12,14],[3,4,5,9,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,8,11,12],[3,4,8,11,12,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2129]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2130: autom. group order 2, simple, residual B[2130]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,12,13,14],[1,4,5,6,9,11,14],[1,4,6,7,9,12,14],[1,4,7,8,10,11,14],[1,5,6,10,11,12,13],[1,5,7,8,9,12,13],[1,7,8,9,10,11,13],[2,3,7,9,11,13,14],[2,4,5,7,10,12,13],[2,4,6,7,10,11,13],[2,4,6,8,9,12,13],[2,5,6,8,10,11,14],[2,5,7,9,11,12,14],[2,6,8,9,10,12,14],[3,4,5,9,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,8,11,12],[3,4,8,11,12,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2130]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2131: autom. group order 2, simple B[2131]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,12,13,14],[1,4,5,6,9,12,14],[1,4,6,7,10,11,14],[1,4,7,8,9,12,13],[1,5,6,9,10,11,13],[1,5,7,8,9,11,14],[1,7,8,10,11,12,13],[2,3,7,9,11,13,14],[2,4,5,7,10,11,13],[2,4,6,7,9,12,13],[2,4,6,8,10,11,14],[2,5,6,8,10,12,13],[2,5,7,9,10,12,14],[2,6,8,9,11,12,14],[3,4,5,9,10,11,12],[3,4,5,11,12,13,14],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2131]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2132: autom. group order 2, simple B[2132]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,11,13,14],[1,4,5,6,9,12,14],[1,4,6,7,10,11,14],[1,4,7,8,9,11,13],[1,5,6,9,10,12,13],[1,5,7,8,10,12,13],[1,7,8,9,11,12,14],[2,3,7,9,12,13,14],[2,4,5,7,10,11,13],[2,4,6,7,9,12,13],[2,4,6,8,10,12,14],[2,5,6,8,9,11,14],[2,5,7,9,10,11,14],[2,6,8,10,11,12,13],[3,4,5,9,10,11,12],[3,4,5,11,12,13,14],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2132]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2133: autom. group order 2, simple B[2133]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,12,13,14],[1,4,5,6,9,11,14],[1,4,6,7,10,11,14],[1,4,7,8,9,12,14],[1,5,6,9,10,12,13],[1,5,7,8,10,11,13],[1,7,8,9,11,12,13],[2,3,7,9,11,13,14],[2,4,5,7,10,12,13],[2,4,6,7,9,12,13],[2,4,6,8,10,11,13],[2,5,6,8,9,12,14],[2,5,7,9,10,11,14],[2,6,8,10,11,12,14],[3,4,5,9,10,11,12],[3,4,5,11,12,13,14],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2133]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2134: autom. group order 2, simple B[2134]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,11,13,14],[1,4,5,6,9,12,14],[1,4,6,7,10,11,14],[1,4,7,8,10,12,13],[1,5,6,9,10,12,13],[1,5,7,8,9,11,13],[1,7,8,9,11,12,14],[2,3,7,9,12,13,14],[2,4,5,7,10,11,13],[2,4,6,7,9,12,13],[2,4,6,8,9,11,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,14],[2,6,8,10,11,12,13],[3,4,5,9,10,11,12],[3,4,5,11,12,13,14],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2134]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2135: autom. group order 2, simple, residual B[2135]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,12,13,14],[1,4,5,6,10,11,14],[1,4,6,7,9,12,14],[1,4,7,8,9,11,14],[1,5,6,9,11,12,13],[1,5,7,8,10,11,13],[1,7,8,9,10,12,13],[2,3,7,9,11,13,14],[2,4,5,7,9,12,13],[2,4,6,7,10,11,13],[2,4,6,8,10,12,13],[2,5,6,8,9,12,14],[2,5,7,10,11,12,14],[2,6,8,9,10,11,14],[3,4,5,9,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,8,11,12],[3,4,8,11,12,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2135]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2136: autom. group order 2, simple B[2136]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,9,12,13,14],[1,4,5,6,10,12,14],[1,4,6,7,9,11,14],[1,4,7,8,9,12,13],[1,5,6,8,10,11,13],[1,5,7,9,10,11,14],[1,7,8,10,11,12,13],[2,3,7,10,11,13,14],[2,4,5,7,9,11,13],[2,4,6,7,10,12,13],[2,4,6,8,10,11,14],[2,5,6,9,10,12,13],[2,5,7,8,9,12,14],[2,6,8,9,11,12,14],[3,4,5,9,10,11,12],[3,4,5,11,12,13,14],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2136]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2137: autom. group order 2, simple, residual B[2137]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,9,12,13,14],[1,4,5,6,10,11,13],[1,4,6,7,9,11,14],[1,4,7,8,9,12,13],[1,5,6,8,10,12,14],[1,5,7,10,11,12,13],[1,7,8,9,10,11,14],[2,3,7,10,11,13,14],[2,4,5,7,9,12,14],[2,4,6,7,10,12,13],[2,4,6,8,10,11,14],[2,5,6,9,11,12,14],[2,5,7,8,9,11,13],[2,6,8,9,10,12,13],[3,4,5,9,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,8,11,12],[3,4,8,11,12,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2137]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2138: autom. group order 2, simple, residual B[2138]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,9,12,13,14],[1,4,5,6,10,12,14],[1,4,6,7,9,11,14],[1,4,7,8,9,12,13],[1,5,6,8,10,11,13],[1,5,7,10,11,12,13],[1,7,8,9,10,11,14],[2,3,7,10,11,13,14],[2,4,5,7,9,11,13],[2,4,6,7,10,12,13],[2,4,6,8,10,11,14],[2,5,6,9,11,12,14],[2,5,7,8,9,12,14],[2,6,8,9,10,12,13],[3,4,5,9,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,8,11,12],[3,4,8,11,12,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2138]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2139: autom. group order 2, simple B[2139]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,9,12,13,14],[1,4,5,6,10,11,14],[1,4,6,7,9,11,14],[1,4,7,8,10,11,13],[1,5,6,8,10,12,13],[1,5,7,9,10,12,14],[1,7,8,9,11,12,13],[2,3,7,10,11,13,14],[2,4,5,7,9,12,13],[2,4,6,7,10,12,13],[2,4,6,8,9,12,14],[2,5,6,9,10,11,13],[2,5,7,8,9,11,14],[2,6,8,10,11,12,14],[3,4,5,9,10,11,12],[3,4,5,11,12,13,14],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2139]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2140: autom. group order 2, simple B[2140]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,9,12,13,14],[1,4,5,6,10,12,13],[1,4,6,7,9,11,14],[1,4,7,8,10,11,13],[1,5,6,8,10,11,14],[1,5,7,9,10,12,14],[1,7,8,9,11,12,13],[2,3,7,10,11,13,14],[2,4,5,7,9,11,14],[2,4,6,7,10,12,13],[2,4,6,8,9,12,14],[2,5,6,9,10,11,13],[2,5,7,8,9,12,13],[2,6,8,10,11,12,14],[3,4,5,9,10,11,12],[3,4,5,11,12,13,14],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2140]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2141: autom. group order 2, simple, residual B[2141]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,9,12,13,14],[1,4,5,6,10,11,14],[1,4,6,7,9,11,14],[1,4,7,8,10,11,13],[1,5,6,8,10,12,13],[1,5,7,9,11,12,13],[1,7,8,9,10,12,14],[2,3,7,10,11,13,14],[2,4,5,7,9,12,13],[2,4,6,7,10,12,13],[2,4,6,8,9,12,14],[2,5,6,10,11,12,14],[2,5,7,8,9,11,14],[2,6,8,9,10,11,13],[3,4,5,9,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,8,11,12],[3,4,8,11,12,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2141]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2142: autom. group order 2, simple, residual B[2142]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,9,12,13,14],[1,4,5,6,10,12,13],[1,4,6,7,9,11,14],[1,4,7,8,10,11,13],[1,5,6,8,10,11,14],[1,5,7,9,11,12,13],[1,7,8,9,10,12,14],[2,3,7,10,11,13,14],[2,4,5,7,9,11,14],[2,4,6,7,10,12,13],[2,4,6,8,9,12,14],[2,5,6,10,11,12,14],[2,5,7,8,9,12,13],[2,6,8,9,10,11,13],[3,4,5,9,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,8,11,12],[3,4,8,11,12,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2142]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2143: autom. group order 2, simple B[2143]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,11,13,14],[1,4,5,6,9,12,14],[1,4,6,7,9,11,14],[1,4,7,8,9,12,13],[1,5,6,8,10,12,13],[1,5,7,9,10,11,13],[1,7,8,10,11,12,14],[2,3,7,9,12,13,14],[2,4,5,7,10,11,13],[2,4,6,7,10,12,13],[2,4,6,8,10,11,14],[2,5,6,9,10,12,14],[2,5,7,8,9,11,14],[2,6,8,9,11,12,13],[3,4,5,9,10,11,12],[3,4,5,11,12,13,14],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2143]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2144: autom. group order 2, simple B[2144]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,12,13,14],[1,4,5,6,9,12,13],[1,4,6,7,9,11,14],[1,4,7,8,9,12,14],[1,5,6,8,10,11,14],[1,5,7,9,10,11,13],[1,7,8,10,11,12,13],[2,3,7,9,11,13,14],[2,4,5,7,10,11,14],[2,4,6,7,10,12,13],[2,4,6,8,10,11,13],[2,5,6,9,10,12,14],[2,5,7,8,9,12,13],[2,6,8,9,11,12,14],[3,4,5,9,10,11,12],[3,4,5,11,12,13,14],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2144]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2145: autom. group order 2, simple, residual B[2145]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,11,13,14],[1,4,5,6,9,12,14],[1,4,6,7,9,11,14],[1,4,7,8,9,12,13],[1,5,6,8,10,12,13],[1,5,7,10,11,12,14],[1,7,8,9,10,11,13],[2,3,7,9,12,13,14],[2,4,5,7,10,11,13],[2,4,6,7,10,12,13],[2,4,6,8,10,11,14],[2,5,6,9,11,12,13],[2,5,7,8,9,11,14],[2,6,8,9,10,12,14],[3,4,5,9,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,8,11,12],[3,4,8,11,12,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2145]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2146: autom. group order 2, simple, residual B[2146]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,12,13,14],[1,4,5,6,9,12,13],[1,4,6,7,9,11,14],[1,4,7,8,9,12,14],[1,5,6,8,10,11,14],[1,5,7,10,11,12,13],[1,7,8,9,10,11,13],[2,3,7,9,11,13,14],[2,4,5,7,10,11,14],[2,4,6,7,10,12,13],[2,4,6,8,10,11,13],[2,5,6,9,11,12,14],[2,5,7,8,9,12,13],[2,6,8,9,10,12,14],[3,4,5,9,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,8,11,12],[3,4,8,11,12,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2146]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2147: autom. group order 2, simple B[2147]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,11,13,14],[1,4,5,6,9,12,13],[1,4,6,7,9,11,14],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,5,7,9,10,12,13],[1,7,8,9,11,12,14],[2,3,7,9,12,13,14],[2,4,5,7,10,11,14],[2,4,6,7,10,12,13],[2,4,6,8,9,12,14],[2,5,6,9,10,11,14],[2,5,7,8,9,11,13],[2,6,8,10,11,12,13],[3,4,5,9,10,11,12],[3,4,5,11,12,13,14],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2147]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2148: autom. group order 2, simple B[2148]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,12,13,14],[1,4,5,6,9,12,14],[1,4,6,7,9,11,14],[1,4,7,8,10,11,14],[1,5,6,8,10,11,13],[1,5,7,9,10,12,13],[1,7,8,9,11,12,13],[2,3,7,9,11,13,14],[2,4,5,7,10,11,13],[2,4,6,7,10,12,13],[2,4,6,8,9,12,13],[2,5,6,9,10,11,14],[2,5,7,8,9,12,14],[2,6,8,10,11,12,14],[3,4,5,9,10,11,12],[3,4,5,11,12,13,14],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2148]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2149: autom. group order 2, simple B[2149]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,11,13,14],[1,4,5,6,10,12,13],[1,4,6,7,9,11,14],[1,4,7,8,9,12,13],[1,5,6,8,9,12,14],[1,5,7,9,10,11,13],[1,7,8,10,11,12,14],[2,3,7,9,12,13,14],[2,4,5,7,9,11,14],[2,4,6,7,10,12,13],[2,4,6,8,10,11,14],[2,5,6,9,10,12,14],[2,5,7,8,10,11,13],[2,6,8,9,11,12,13],[3,4,5,9,10,11,12],[3,4,5,11,12,13,14],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2149]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2150: autom. group order 2, simple, residual B[2150]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,11,13,14],[1,4,5,6,10,12,13],[1,4,6,7,9,11,14],[1,4,7,8,9,12,13],[1,5,6,8,9,12,14],[1,5,7,10,11,12,14],[1,7,8,9,10,11,13],[2,3,7,9,12,13,14],[2,4,5,7,9,11,14],[2,4,6,7,10,12,13],[2,4,6,8,10,11,14],[2,5,6,9,11,12,13],[2,5,7,8,10,11,13],[2,6,8,9,10,12,14],[3,4,5,9,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,8,11,12],[3,4,8,11,12,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2150]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2151: autom. group order 2, simple, residual B[2151]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,12,13,14],[1,4,5,6,10,11,14],[1,4,6,7,9,11,14],[1,4,7,8,9,12,14],[1,5,6,8,9,12,13],[1,5,7,10,11,12,13],[1,7,8,9,10,11,13],[2,3,7,9,11,13,14],[2,4,5,7,9,12,13],[2,4,6,7,10,12,13],[2,4,6,8,10,11,13],[2,5,6,9,11,12,14],[2,5,7,8,10,11,14],[2,6,8,9,10,12,14],[3,4,5,9,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,8,11,12],[3,4,8,11,12,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2151]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2152: autom. group order 2, simple B[2152]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,11,13,14],[1,4,5,6,10,12,14],[1,4,6,7,9,11,14],[1,4,7,8,10,11,13],[1,5,6,8,9,12,13],[1,5,7,9,10,12,13],[1,7,8,9,11,12,14],[2,3,7,9,12,13,14],[2,4,5,7,9,11,13],[2,4,6,7,10,12,13],[2,4,6,8,9,12,14],[2,5,6,9,10,11,14],[2,5,7,8,10,11,14],[2,6,8,10,11,12,13],[3,4,5,9,10,11,12],[3,4,5,11,12,13,14],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2152]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2153: autom. group order 2, simple B[2153]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,12,13,14],[1,4,5,6,10,11,13],[1,4,6,7,9,11,14],[1,4,7,8,10,11,14],[1,5,6,8,9,12,14],[1,5,7,9,10,12,13],[1,7,8,9,11,12,13],[2,3,7,9,11,13,14],[2,4,5,7,9,12,14],[2,4,6,7,10,12,13],[2,4,6,8,9,12,13],[2,5,6,9,10,11,14],[2,5,7,8,10,11,13],[2,6,8,10,11,12,14],[3,4,5,9,10,11,12],[3,4,5,11,12,13,14],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2153]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2154: autom. group order 2, simple, residual B[2154]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,6,9,12,13],[1,4,6,7,10,11,12],[1,4,7,8,10,13,14],[1,5,6,8,9,11,14],[1,5,7,8,9,10,11],[1,7,9,11,12,13,14],[2,3,7,9,10,11,13],[2,4,5,8,9,11,13],[2,4,6,7,8,9,12],[2,4,6,7,11,13,14],[2,5,6,9,10,12,14],[2,5,7,8,10,12,14],[2,6,8,10,11,12,13],[3,4,5,7,8,11,12],[3,4,5,10,11,12,14],[3,4,6,9,10,11,14],[3,4,8,9,12,13,14],[3,5,6,7,8,13,14],[3,5,6,7,9,10,13]]; G[2154]:=Group([(1,13)(3,11)(6,9)(7,8)(10,14)]); # Design 2155: autom. group order 2, simple, residual B[2155]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,11,12,14],[1,3,6,8,10,12,14],[1,4,5,6,10,13,14],[1,4,6,7,8,12,13],[1,4,9,11,12,13,14],[1,5,6,7,9,10,12],[1,5,7,8,9,11,13],[1,7,8,9,10,11,14],[2,3,7,9,12,13,14],[2,4,5,8,9,10,13],[2,4,6,7,8,9,14],[2,4,6,9,10,11,12],[2,5,6,7,8,11,14],[2,5,8,10,12,13,14],[2,6,7,10,11,12,13],[3,4,5,7,9,12,14],[3,4,5,7,10,11,13],[3,4,6,8,11,13,14],[3,4,7,8,10,11,12],[3,5,6,8,9,12,13],[3,5,6,9,10,11,14]]; G[2155]:=Group([(1,3)(4,9)(5,13)(7,11)(8,10)(12,14)]); # Design 2156: autom. group order 2, simple, residual B[2156]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,11,12,14],[1,3,6,8,10,12,14],[1,4,5,6,10,13,14],[1,4,6,7,8,12,13],[1,4,9,11,12,13,14],[1,5,6,7,8,9,14],[1,5,7,9,10,11,13],[1,7,8,9,10,11,12],[2,3,7,9,12,13,14],[2,4,5,8,9,10,13],[2,4,6,7,9,10,12],[2,4,6,8,9,11,14],[2,5,6,7,10,11,12],[2,5,8,10,12,13,14],[2,6,7,8,11,13,14],[3,4,5,7,8,11,13],[3,4,5,7,9,12,14],[3,4,6,10,11,12,13],[3,4,7,8,10,11,14],[3,5,6,8,9,12,13],[3,5,6,9,10,11,14]]; G[2156]:=Group([(1,3)(4,9)(5,13)(7,11)(8,10)(12,14)]); # Design 2157: autom. group order 2, simple, residual B[2157]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,11,13],[1,3,6,7,10,13,14],[1,4,5,6,8,9,10],[1,4,6,9,12,13,14],[1,4,7,8,11,12,13],[1,5,7,8,10,12,14],[1,5,9,10,11,12,14],[1,6,7,8,9,11,13],[2,3,8,9,10,12,13],[2,4,5,6,8,12,14],[2,4,6,7,9,11,12],[2,4,7,9,10,13,14],[2,5,6,7,10,12,13],[2,5,7,8,9,11,14],[2,6,8,10,11,13,14],[3,4,5,7,8,13,14],[3,4,5,9,11,13,14],[3,4,6,10,11,12,14],[3,4,7,8,10,11,12],[3,5,6,7,9,10,11],[3,5,6,8,9,12,13]]; G[2157]:=Group([(1,13)(3,10)(4,12)]); # Design 2158: autom. group order 2, simple, residual B[2158]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,12,13],[1,3,6,7,10,13,14],[1,4,5,6,8,13,14],[1,4,6,8,10,11,12],[1,4,7,9,11,12,13],[1,5,7,9,10,11,14],[1,5,8,9,10,12,14],[1,6,7,8,9,11,13],[2,3,8,9,10,11,13],[2,4,5,6,9,11,14],[2,4,6,7,9,10,13],[2,4,7,8,11,12,14],[2,5,6,7,8,9,12],[2,5,7,8,10,13,14],[2,6,10,11,12,13,14],[3,4,5,7,8,10,11],[3,4,5,9,11,13,14],[3,4,6,9,10,12,14],[3,4,7,8,12,13,14],[3,5,6,7,10,11,12],[3,5,6,8,9,12,13]]; G[2158]:=Group([(1,10)(3,13)(5,9)(8,12)]); # Design 2159: autom. group order 2, simple, residual B[2159]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,12,13],[1,3,6,7,10,13,14],[1,4,5,6,8,13,14],[1,4,6,8,10,11,12],[1,4,7,8,9,11,13],[1,5,7,9,10,11,14],[1,5,8,9,10,12,14],[1,6,7,9,11,12,13],[2,3,8,9,10,11,13],[2,4,5,6,9,11,14],[2,4,6,7,9,10,13],[2,4,7,8,11,12,14],[2,5,6,7,8,9,12],[2,5,7,8,10,13,14],[2,6,10,11,12,13,14],[3,4,5,7,10,11,12],[3,4,5,9,11,13,14],[3,4,6,9,10,12,14],[3,4,7,8,12,13,14],[3,5,6,7,8,10,11],[3,5,6,8,9,12,13]]; G[2159]:=Group([(1,10)(3,13)(5,9)(8,12)]); # Design 2160: autom. group order 2, simple, residual B[2160]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,13,14],[1,2,3,7,10,11,13],[1,2,4,5,12,13,14],[1,3,6,7,10,12,14],[1,4,5,6,9,10,11],[1,4,6,8,9,12,13],[1,4,7,8,11,13,14],[1,5,7,8,10,12,14],[1,5,9,10,11,13,14],[1,6,7,8,9,11,12],[2,3,8,9,11,12,14],[2,4,5,6,11,12,14],[2,4,6,7,8,10,14],[2,4,7,9,10,11,12],[2,5,6,7,8,9,13],[2,5,7,9,10,12,13],[2,6,8,10,11,13,14],[3,4,5,7,8,11,13],[3,4,5,8,9,10,14],[3,4,6,10,11,12,13],[3,4,7,9,12,13,14],[3,5,6,7,9,11,14],[3,5,6,8,10,12,13]]; G[2160]:=Group([(1,14)(2,9)(4,11)(10,12)]); # Design 2161: autom. group order 2, simple, residual B[2161]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,7,12,13,14],[1,4,5,6,10,11,14],[1,4,6,9,11,12,13],[1,4,7,8,10,11,13],[1,5,7,8,9,11,14],[1,5,9,10,12,13,14],[1,6,7,8,9,10,12],[2,3,9,10,11,13,14],[2,4,5,6,9,12,14],[2,4,6,8,10,12,13],[2,4,7,10,11,12,14],[2,5,6,7,9,10,11],[2,5,7,8,9,12,13],[2,6,7,8,11,13,14],[3,4,5,7,9,10,13],[3,4,5,7,11,12,13],[3,4,6,7,8,9,14],[3,4,8,9,11,12,14],[3,5,6,8,10,11,12],[3,5,6,8,10,13,14]]; G[2161]:=Group([(1,2)(5,8)(6,10)(7,9)(11,12)(13,14)]); # Design 2162: autom. group order 2, simple, residual B[2162]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,7,11,13,14],[1,4,5,6,9,12,14],[1,4,6,8,10,12,13],[1,4,7,10,11,12,14],[1,5,7,8,9,12,13],[1,5,9,10,11,13,14],[1,6,7,8,9,10,11],[2,3,9,10,12,13,14],[2,4,5,6,10,11,14],[2,4,6,9,11,12,13],[2,4,7,8,10,11,13],[2,5,6,7,9,10,12],[2,5,7,8,9,11,14],[2,6,7,8,12,13,14],[3,4,5,7,9,10,13],[3,4,5,7,11,12,13],[3,4,6,7,8,9,14],[3,4,8,9,11,12,14],[3,5,6,8,10,11,12],[3,5,6,8,10,13,14]]; G[2162]:=Group([(1,2)(5,8)(6,10)(7,9)(11,12)(13,14)]); # Design 2163: autom. group order 2, simple, residual B[2163]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,11,13],[1,3,6,7,10,13,14],[1,4,5,6,8,9,10],[1,4,6,8,12,13,14],[1,4,9,11,12,13,14],[1,5,7,8,9,11,13],[1,5,7,8,10,12,14],[1,6,7,9,10,11,12],[2,3,8,9,10,12,13],[2,4,5,6,9,12,14],[2,4,6,7,8,11,12],[2,4,7,9,10,13,14],[2,5,6,7,10,12,13],[2,5,7,8,9,11,14],[2,6,8,10,11,13,14],[3,4,5,7,8,13,14],[3,4,5,10,11,12,14],[3,4,6,7,9,11,13],[3,4,7,8,10,11,12],[3,5,6,8,9,12,13],[3,5,6,9,10,11,14]]; G[2163]:=Group([(1,13)(3,10)(4,12)]); # Design 2164: autom. group order 2, simple B[2164]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,7,12,13,14],[1,4,5,6,9,10,13],[1,4,6,9,11,12,14],[1,4,8,10,11,12,13],[1,5,7,8,9,11,14],[1,5,7,10,11,13,14],[1,6,7,8,9,10,12],[2,3,9,10,11,13,14],[2,4,5,6,11,12,14],[2,4,6,7,8,10,14],[2,4,7,10,11,12,13],[2,5,6,7,9,10,11],[2,5,7,8,9,12,13],[2,6,8,9,12,13,14],[3,4,5,7,9,12,13],[3,4,5,9,10,12,14],[3,4,6,7,8,11,13],[3,4,7,8,9,11,14],[3,5,6,8,10,11,12],[3,5,6,8,10,13,14]]; G[2164]:=Group([(1,2)(5,8)(6,10)(7,9)(11,12)(13,14)]); # Design 2165: autom. group order 2, simple B[2165]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,11,12,14],[1,3,6,10,12,13,14],[1,4,5,6,8,13,14],[1,4,6,7,10,11,12],[1,4,7,8,9,12,13],[1,5,7,9,10,11,13],[1,5,8,9,10,12,14],[1,6,7,8,9,11,14],[2,3,7,8,9,12,14],[2,4,5,6,9,10,14],[2,4,6,7,8,12,13],[2,4,8,10,11,13,14],[2,5,6,7,9,10,12],[2,5,7,8,10,11,13],[2,6,9,11,12,13,14],[3,4,5,7,9,13,14],[3,4,5,9,11,12,13],[3,4,6,8,9,10,11],[3,4,7,10,11,12,14],[3,5,6,7,8,11,14],[3,5,6,8,10,12,13]]; G[2165]:=Group([(1,14)(2,7)(4,9)(5,8)(6,12)(10,13)]); # Design 2166: autom. group order 2, simple B[2166]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,9,10,13],[1,3,6,7,10,13,14],[1,4,5,6,10,11,14],[1,4,6,9,11,12,13],[1,4,7,8,12,13,14],[1,5,7,8,9,10,12],[1,5,8,9,11,13,14],[1,6,7,8,10,11,12],[2,3,8,10,11,12,13],[2,4,5,6,8,12,14],[2,4,7,9,11,12,14],[2,4,7,10,11,13,14],[2,5,6,7,8,9,11],[2,5,6,7,10,12,13],[2,6,8,9,10,13,14],[3,4,5,7,8,11,13],[3,4,5,8,10,12,14],[3,4,6,7,8,9,13],[3,4,6,9,10,11,12],[3,5,6,9,12,13,14],[3,5,7,9,10,11,14]]; G[2166]:=Group([(1,13)(3,10)(4,12)(9,11)]); # Design 2167: autom. group order 2, simple B[2167]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,9,10,13],[1,3,6,7,10,13,14],[1,4,5,6,10,11,14],[1,4,6,9,11,12,13],[1,4,7,8,12,13,14],[1,5,7,8,9,11,13],[1,5,8,9,10,12,14],[1,6,7,8,10,11,12],[2,3,8,10,11,12,13],[2,4,5,6,8,12,14],[2,4,7,9,11,12,14],[2,4,7,10,11,13,14],[2,5,6,7,8,9,11],[2,5,6,7,10,12,13],[2,6,8,9,10,13,14],[3,4,5,7,8,10,12],[3,4,5,8,11,13,14],[3,4,6,7,8,9,13],[3,4,6,9,10,11,12],[3,5,6,9,12,13,14],[3,5,7,9,10,11,14]]; G[2167]:=Group([(1,13)(3,10)(4,12)(9,11)]); # Design 2168: autom. group order 2, simple, residual B[2168]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,9,10,13],[1,3,6,7,10,13,14],[1,4,5,6,10,11,14],[1,4,6,9,11,12,13],[1,4,7,8,12,13,14],[1,5,7,8,9,10,12],[1,5,8,10,11,12,14],[1,6,7,8,9,11,13],[2,3,8,10,11,12,13],[2,4,5,6,8,12,14],[2,4,7,9,11,12,14],[2,4,7,10,11,13,14],[2,5,6,7,8,9,11],[2,5,6,7,10,12,13],[2,6,8,9,10,13,14],[3,4,5,7,8,11,13],[3,4,5,8,9,13,14],[3,4,6,7,8,10,12],[3,4,6,9,10,11,12],[3,5,6,9,12,13,14],[3,5,7,9,10,11,14]]; G[2168]:=Group([(1,13)(3,10)(4,12)(9,11)]); # Design 2169: autom. group order 2, simple B[2169]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,9,10,13],[1,3,6,7,10,13,14],[1,4,5,6,10,11,14],[1,4,6,9,11,12,13],[1,4,7,8,12,13,14],[1,5,7,8,9,11,13],[1,5,8,10,11,12,14],[1,6,7,8,9,10,12],[2,3,8,10,11,12,13],[2,4,5,6,8,12,14],[2,4,7,9,11,12,14],[2,4,7,10,11,13,14],[2,5,6,7,8,9,11],[2,5,6,7,10,12,13],[2,6,8,9,10,13,14],[3,4,5,7,8,10,12],[3,4,5,8,9,13,14],[3,4,6,7,8,11,13],[3,4,6,9,10,11,12],[3,5,6,9,12,13,14],[3,5,7,9,10,11,14]]; G[2169]:=Group([(1,13)(3,10)(4,12)(9,11)]); # Design 2170: autom. group order 2, simple, residual B[2170]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,9,10,13],[1,3,6,7,10,13,14],[1,4,5,6,10,11,14],[1,4,6,9,11,12,13],[1,4,7,8,12,13,14],[1,5,7,8,10,11,12],[1,5,8,9,10,12,14],[1,6,7,8,9,11,13],[2,3,8,10,11,12,13],[2,4,5,6,8,12,14],[2,4,7,9,11,12,14],[2,4,7,10,11,13,14],[2,5,6,7,8,9,11],[2,5,6,7,10,12,13],[2,6,8,9,10,13,14],[3,4,5,7,8,9,13],[3,4,5,8,11,13,14],[3,4,6,7,8,10,12],[3,4,6,9,10,11,12],[3,5,6,9,12,13,14],[3,5,7,9,10,11,14]]; G[2170]:=Group([(1,13)(3,10)(4,12)(9,11)]); # Design 2171: autom. group order 2, simple B[2171]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,12,13],[1,3,6,7,10,13,14],[1,4,5,6,9,11,14],[1,4,6,8,9,10,12],[1,4,7,8,11,12,13],[1,5,7,8,9,13,14],[1,5,8,10,11,12,14],[1,6,7,9,10,11,13],[2,3,8,9,10,11,13],[2,4,5,6,8,13,14],[2,4,7,9,11,12,14],[2,4,7,10,11,13,14],[2,5,6,7,8,10,11],[2,5,6,7,9,10,12],[2,6,8,9,12,13,14],[3,4,5,7,8,9,13],[3,4,5,9,10,11,14],[3,4,6,7,8,11,12],[3,4,6,10,12,13,14],[3,5,6,9,11,12,13],[3,5,7,8,10,12,14]]; G[2171]:=Group([(1,3)(4,11)(5,8)(7,14)(9,12)(10,13)]); # Design 2172: autom. group order 2, simple B[2172]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,12,13],[1,3,6,7,10,13,14],[1,4,5,6,9,11,14],[1,4,6,8,9,12,13],[1,4,8,10,11,12,14],[1,5,7,8,9,10,11],[1,5,7,8,9,13,14],[1,6,7,10,11,12,13],[2,3,8,9,10,11,13],[2,4,5,6,7,8,10],[2,4,7,9,11,12,14],[2,4,7,10,11,13,14],[2,5,6,8,11,13,14],[2,5,6,9,10,12,14],[2,6,7,8,9,12,13],[3,4,5,7,9,11,13],[3,4,5,8,12,13,14],[3,4,6,7,8,11,12],[3,4,6,9,10,13,14],[3,5,6,9,10,11,12],[3,5,7,8,10,12,14]]; G[2172]:=Group([(1,3)(4,11)(5,8)(7,14)(9,12)(10,13)]); # Design 2173: autom. group order 2, simple B[2173]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,12,13],[1,3,6,7,10,13,14],[1,4,5,6,9,11,14],[1,4,6,8,9,10,12],[1,4,8,11,12,13,14],[1,5,7,8,9,13,14],[1,5,7,8,10,11,12],[1,6,7,9,10,11,13],[2,3,8,9,10,11,13],[2,4,5,6,7,8,13],[2,4,7,9,11,12,14],[2,4,7,10,11,13,14],[2,5,6,8,10,11,14],[2,5,6,9,10,12,14],[2,6,7,8,9,12,13],[3,4,5,7,9,10,11],[3,4,5,8,9,13,14],[3,4,6,7,8,11,12],[3,4,6,10,12,13,14],[3,5,6,9,11,12,13],[3,5,7,8,10,12,14]]; G[2173]:=Group([(1,3)(4,11)(5,8)(7,14)(9,12)(10,13)]); # Design 2174: autom. group order 2, simple, residual B[2174]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,10,11],[1,4,6,8,11,12,14],[1,4,7,8,9,12,13],[1,5,7,9,10,11,12],[1,5,8,9,10,13,14],[1,6,7,9,11,13,14],[2,3,7,9,11,12,14],[2,4,5,6,9,10,14],[2,4,7,8,10,11,13],[2,4,9,10,11,12,14],[2,5,6,7,8,9,12],[2,5,6,8,11,13,14],[2,6,7,8,10,12,13],[3,4,5,7,12,13,14],[3,4,5,8,9,11,13],[3,4,6,7,8,9,14],[3,4,6,10,11,12,13],[3,5,6,9,10,12,13],[3,5,7,8,10,11,14]]; G[2174]:=Group([(1,14)(2,7)(4,11)(5,9)(6,12)]); # Design 2175: autom. group order 2, simple, residual B[2175]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,12,13],[1,3,6,7,10,13,14],[1,4,5,6,9,10,14],[1,4,6,9,11,12,13],[1,4,7,8,9,11,13],[1,5,7,8,9,13,14],[1,5,8,10,11,12,14],[1,6,7,8,10,11,12],[2,3,8,9,10,11,13],[2,4,5,7,8,11,14],[2,4,6,8,10,13,14],[2,4,6,9,11,12,14],[2,5,6,7,8,9,12],[2,5,6,7,10,11,13],[2,7,9,10,12,13,14],[3,4,5,7,9,10,11],[3,4,5,8,12,13,14],[3,4,6,7,8,12,13],[3,4,7,10,11,12,14],[3,5,6,8,9,10,12],[3,5,6,9,11,13,14]]; G[2175]:=Group([(1,13)(3,10)(4,11)]); # Design 2176: autom. group order 2, simple, residual B[2176]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,8,10,13],[1,3,6,7,10,13,14],[1,4,5,6,9,10,12],[1,4,6,9,11,13,14],[1,4,7,8,11,12,13],[1,5,7,8,12,13,14],[1,5,8,9,10,11,14],[1,6,7,9,10,11,12],[2,3,9,10,11,12,13],[2,4,5,7,9,11,14],[2,4,6,8,11,12,14],[2,4,6,10,12,13,14],[2,5,6,7,8,9,12],[2,5,6,7,10,11,13],[2,7,8,9,10,13,14],[3,4,5,7,10,11,14],[3,4,5,9,12,13,14],[3,4,6,7,8,9,13],[3,4,7,8,10,11,12],[3,5,6,8,9,11,13],[3,5,6,8,10,12,14]]; G[2176]:=Group([(1,13)(3,10)(4,11)(8,12)]); # Design 2177: autom. group order 2, simple, residual B[2177]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,8,10,13],[1,3,6,7,10,13,14],[1,4,5,6,9,10,12],[1,4,6,9,11,13,14],[1,4,8,11,12,13,14],[1,5,7,8,9,12,13],[1,5,7,10,11,12,14],[1,6,7,8,9,10,11],[2,3,9,10,11,12,13],[2,4,5,7,9,11,14],[2,4,6,7,8,11,12],[2,4,6,10,12,13,14],[2,5,6,7,10,11,13],[2,5,6,8,9,12,14],[2,7,8,9,10,13,14],[3,4,5,7,8,13,14],[3,4,5,9,10,11,14],[3,4,6,7,9,12,13],[3,4,7,8,10,11,12],[3,5,6,8,9,11,13],[3,5,6,8,10,12,14]]; G[2177]:=Group([(1,13)(3,10)(4,11)(8,12)]); # Design 2178: autom. group order 2, simple, residual B[2178]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,6,9,10,12],[1,4,6,7,8,11,13],[1,4,7,9,11,12,14],[1,5,7,8,9,11,13],[1,5,7,8,10,12,14],[1,6,8,10,12,13,14],[2,3,7,8,10,12,13],[2,4,5,7,8,10,11],[2,4,6,7,9,12,13],[2,4,6,8,11,12,14],[2,5,6,8,9,12,13],[2,5,6,9,10,11,14],[2,7,9,10,11,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2178]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2179: autom. group order 2, simple B[2179]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,6,9,12,13],[1,4,6,7,8,10,11],[1,4,7,9,11,13,14],[1,5,7,8,9,12,14],[1,5,7,8,10,11,12],[1,6,8,10,12,13,14],[2,3,7,8,10,12,13],[2,4,5,7,8,11,13],[2,4,6,7,9,10,12],[2,4,6,8,12,13,14],[2,5,6,8,9,11,14],[2,5,6,9,10,11,12],[2,7,9,10,11,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2179]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2180: autom. group order 2, simple, residual B[2180]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,6,9,10,12],[1,4,6,7,8,11,13],[1,4,7,8,11,12,14],[1,5,7,8,9,12,13],[1,5,7,9,10,11,14],[1,6,8,10,12,13,14],[2,3,7,8,10,12,13],[2,4,5,7,8,10,11],[2,4,6,7,9,12,13],[2,4,6,9,11,12,14],[2,5,6,8,9,11,13],[2,5,6,8,10,12,14],[2,7,9,10,11,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2180]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2181: autom. group order 2, simple, residual B[2181]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,9,10,11],[1,4,6,7,8,11,13],[1,4,7,8,11,12,14],[1,5,7,8,9,12,13],[1,5,7,9,10,11,14],[1,6,8,10,12,13,14],[2,3,7,8,10,11,13],[2,4,5,7,8,10,12],[2,4,6,7,9,12,13],[2,4,6,9,11,12,14],[2,5,6,8,9,11,13],[2,5,6,8,10,12,14],[2,7,9,10,11,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2181]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2182: autom. group order 2, simple B[2182]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,6,9,12,13],[1,4,6,7,8,10,11],[1,4,7,8,12,13,14],[1,5,7,8,9,11,14],[1,5,7,9,10,11,12],[1,6,8,10,12,13,14],[2,3,7,8,10,12,13],[2,4,5,7,8,11,13],[2,4,6,7,9,10,12],[2,4,6,9,11,13,14],[2,5,6,8,9,12,14],[2,5,6,8,10,11,12],[2,7,9,10,11,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2182]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2183: autom. group order 2, simple B[2183]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,9,11,13],[1,4,6,7,8,10,11],[1,4,7,8,12,13,14],[1,5,7,8,9,11,14],[1,5,7,9,10,11,12],[1,6,8,10,12,13,14],[2,3,7,8,10,11,13],[2,4,5,7,8,12,13],[2,4,6,7,9,10,12],[2,4,6,9,11,13,14],[2,5,6,8,9,12,14],[2,5,6,8,10,11,12],[2,7,9,10,11,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2183]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2184: autom. group order 2, simple, residual B[2184]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,6,8,10,12],[1,4,6,7,8,11,13],[1,4,7,9,11,12,14],[1,5,7,8,9,11,13],[1,5,7,8,10,12,14],[1,6,9,10,12,13,14],[2,3,7,8,10,12,13],[2,4,5,7,9,10,11],[2,4,6,7,9,12,13],[2,4,6,8,11,12,14],[2,5,6,8,9,12,13],[2,5,6,9,10,11,14],[2,7,8,10,11,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2184]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2185: autom. group order 2, simple B[2185]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,6,8,12,13],[1,4,6,7,8,10,11],[1,4,7,9,11,13,14],[1,5,7,8,9,12,14],[1,5,7,8,10,11,12],[1,6,9,10,12,13,14],[2,3,7,8,10,12,13],[2,4,5,7,9,11,13],[2,4,6,7,9,10,12],[2,4,6,8,12,13,14],[2,5,6,8,9,11,14],[2,5,6,9,10,11,12],[2,7,8,10,11,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2185]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2186: autom. group order 2, simple, residual B[2186]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,6,8,10,12],[1,4,6,7,8,11,13],[1,4,7,8,11,12,14],[1,5,7,8,9,12,13],[1,5,7,9,10,11,14],[1,6,9,10,12,13,14],[2,3,7,8,10,12,13],[2,4,5,7,9,10,11],[2,4,6,7,9,12,13],[2,4,6,9,11,12,14],[2,5,6,8,9,11,13],[2,5,6,8,10,12,14],[2,7,8,10,11,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2186]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2187: autom. group order 2, simple, residual B[2187]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,8,10,12],[1,4,6,7,8,11,13],[1,4,7,8,11,12,14],[1,5,7,8,9,12,13],[1,5,7,9,10,11,14],[1,6,9,10,11,13,14],[2,3,7,8,10,11,13],[2,4,5,7,9,10,11],[2,4,6,7,9,12,13],[2,4,6,9,11,12,14],[2,5,6,8,9,11,13],[2,5,6,8,10,12,14],[2,7,8,10,12,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2187]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2188: autom. group order 2, simple B[2188]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,6,8,12,13],[1,4,6,7,8,10,11],[1,4,7,8,12,13,14],[1,5,7,8,9,11,14],[1,5,7,9,10,11,12],[1,6,9,10,12,13,14],[2,3,7,8,10,12,13],[2,4,5,7,9,11,13],[2,4,6,7,9,10,12],[2,4,6,9,11,13,14],[2,5,6,8,9,12,14],[2,5,6,8,10,11,12],[2,7,8,10,11,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2188]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2189: autom. group order 2, simple B[2189]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,8,12,13],[1,4,6,7,8,10,11],[1,4,7,8,12,13,14],[1,5,7,8,9,11,14],[1,5,7,9,10,11,12],[1,6,9,10,11,13,14],[2,3,7,8,10,11,13],[2,4,5,7,9,11,13],[2,4,6,7,9,10,12],[2,4,6,9,11,13,14],[2,5,6,8,9,12,14],[2,5,6,8,10,11,12],[2,7,8,10,12,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2189]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2190: autom. group order 2, simple, residual B[2190]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,6,9,10,11],[1,4,6,7,8,11,13],[1,4,7,9,11,12,14],[1,5,7,8,9,11,13],[1,5,7,8,10,12,14],[1,6,9,10,12,13,14],[2,3,7,9,10,11,13],[2,4,5,7,8,10,12],[2,4,6,7,9,12,13],[2,4,6,8,11,12,14],[2,5,6,8,9,12,13],[2,5,6,9,10,11,14],[2,7,8,10,11,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2190]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2191: autom. group order 2, simple, residual B[2191]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,6,9,10,12],[1,4,6,7,8,11,13],[1,4,7,9,11,12,14],[1,5,7,8,9,11,13],[1,5,7,8,10,12,14],[1,6,9,10,11,13,14],[2,3,7,9,10,11,13],[2,4,5,7,8,10,11],[2,4,6,7,9,12,13],[2,4,6,8,11,12,14],[2,5,6,8,9,12,13],[2,5,6,9,10,11,14],[2,7,8,10,12,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2191]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2192: autom. group order 2, simple B[2192]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,6,9,11,13],[1,4,6,7,8,10,11],[1,4,7,9,11,13,14],[1,5,7,8,9,12,14],[1,5,7,8,10,11,12],[1,6,9,10,12,13,14],[2,3,7,9,10,11,13],[2,4,5,7,8,12,13],[2,4,6,7,9,10,12],[2,4,6,8,12,13,14],[2,5,6,8,9,11,14],[2,5,6,9,10,11,12],[2,7,8,10,11,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2192]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2193: autom. group order 2, simple B[2193]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,6,9,12,13],[1,4,6,7,8,10,11],[1,4,7,9,11,13,14],[1,5,7,8,9,12,14],[1,5,7,8,10,11,12],[1,6,9,10,11,13,14],[2,3,7,9,10,11,13],[2,4,5,7,8,11,13],[2,4,6,7,9,10,12],[2,4,6,8,12,13,14],[2,5,6,8,9,11,14],[2,5,6,9,10,11,12],[2,7,8,10,12,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2193]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2194: autom. group order 2, simple, residual B[2194]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,6,9,10,11],[1,4,6,7,8,11,13],[1,4,7,8,11,12,14],[1,5,7,8,9,12,13],[1,5,7,9,10,11,14],[1,6,9,10,12,13,14],[2,3,7,9,10,11,13],[2,4,5,7,8,10,12],[2,4,6,7,9,12,13],[2,4,6,9,11,12,14],[2,5,6,8,9,11,13],[2,5,6,8,10,12,14],[2,7,8,10,11,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2194]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2195: autom. group order 2, simple, residual B[2195]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,6,9,10,12],[1,4,6,7,8,11,13],[1,4,7,8,11,12,14],[1,5,7,8,9,12,13],[1,5,7,9,10,11,14],[1,6,9,10,11,13,14],[2,3,7,9,10,11,13],[2,4,5,7,8,10,11],[2,4,6,7,9,12,13],[2,4,6,9,11,12,14],[2,5,6,8,9,11,13],[2,5,6,8,10,12,14],[2,7,8,10,12,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2195]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2196: autom. group order 2, simple B[2196]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,6,9,11,13],[1,4,6,7,8,10,11],[1,4,7,8,12,13,14],[1,5,7,8,9,11,14],[1,5,7,9,10,11,12],[1,6,9,10,12,13,14],[2,3,7,9,10,11,13],[2,4,5,7,8,12,13],[2,4,6,7,9,10,12],[2,4,6,9,11,13,14],[2,5,6,8,9,12,14],[2,5,6,8,10,11,12],[2,7,8,10,11,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2196]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2197: autom. group order 2, simple B[2197]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,6,9,12,13],[1,4,6,7,8,10,11],[1,4,7,8,12,13,14],[1,5,7,8,9,11,14],[1,5,7,9,10,11,12],[1,6,9,10,11,13,14],[2,3,7,9,10,11,13],[2,4,5,7,8,11,13],[2,4,6,7,9,10,12],[2,4,6,9,11,13,14],[2,5,6,8,9,12,14],[2,5,6,8,10,11,12],[2,7,8,10,12,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2197]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2198: autom. group order 2, simple B[2198]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,9,12,13,14],[1,4,5,6,10,11,14],[1,4,6,7,9,12,14],[1,4,7,8,9,11,13],[1,5,7,8,10,12,13],[1,5,7,9,10,11,14],[1,6,8,10,11,12,13],[2,3,7,10,11,13,14],[2,4,5,7,9,12,13],[2,4,6,7,10,11,13],[2,4,6,8,10,12,14],[2,5,6,8,9,11,14],[2,5,6,9,10,12,13],[2,7,8,9,11,12,14],[3,4,5,9,10,11,12],[3,4,5,11,12,13,14],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2198]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2199: autom. group order 2, simple B[2199]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,9,12,13,14],[1,4,5,6,10,11,14],[1,4,6,7,9,12,14],[1,4,7,8,10,12,13],[1,5,7,8,9,11,13],[1,5,7,9,10,11,14],[1,6,8,10,11,12,13],[2,3,7,10,11,13,14],[2,4,5,7,9,12,13],[2,4,6,7,10,11,13],[2,4,6,8,9,11,14],[2,5,6,8,10,12,14],[2,5,6,9,10,12,13],[2,7,8,9,11,12,14],[3,4,5,9,10,11,12],[3,4,5,11,12,13,14],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2199]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2200: autom. group order 2, simple, residual B[2200]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,9,12,13,14],[1,4,5,6,10,11,13],[1,4,6,7,10,11,14],[1,4,7,8,10,12,13],[1,5,7,8,9,11,14],[1,5,7,9,11,12,13],[1,6,8,9,10,12,14],[2,3,7,10,11,13,14],[2,4,5,7,9,12,14],[2,4,6,7,9,12,13],[2,4,6,8,9,11,14],[2,5,6,8,10,12,13],[2,5,6,10,11,12,14],[2,7,8,9,10,11,13],[3,4,5,9,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,8,11,12],[3,4,8,11,12,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2200]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2201: autom. group order 2, simple B[2201]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,11,13,14],[1,4,5,6,9,12,13],[1,4,6,7,9,12,14],[1,4,7,8,9,11,14],[1,5,7,8,10,12,13],[1,5,7,9,10,11,13],[1,6,8,10,11,12,14],[2,3,7,9,12,13,14],[2,4,5,7,10,11,14],[2,4,6,7,10,11,13],[2,4,6,8,10,12,13],[2,5,6,8,9,11,14],[2,5,6,9,10,12,14],[2,7,8,9,11,12,13],[3,4,5,9,10,11,12],[3,4,5,11,12,13,14],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2201]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2202: autom. group order 2, simple B[2202]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,12,13,14],[1,4,5,6,9,11,14],[1,4,6,7,9,12,14],[1,4,7,8,9,12,13],[1,5,7,8,10,11,14],[1,5,7,9,10,11,13],[1,6,8,10,11,12,13],[2,3,7,9,11,13,14],[2,4,5,7,10,12,13],[2,4,6,7,10,11,13],[2,4,6,8,10,11,14],[2,5,6,8,9,12,13],[2,5,6,9,10,12,14],[2,7,8,9,11,12,14],[3,4,5,9,10,11,12],[3,4,5,11,12,13,14],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2202]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2203: autom. group order 2, simple, residual B[2203]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,12,13,14],[1,4,5,6,9,12,14],[1,4,6,7,10,11,14],[1,4,7,8,9,12,13],[1,5,7,8,9,11,14],[1,5,7,10,11,12,13],[1,6,8,9,10,11,13],[2,3,7,9,11,13,14],[2,4,5,7,10,11,13],[2,4,6,7,9,12,13],[2,4,6,8,10,11,14],[2,5,6,8,10,12,13],[2,5,6,9,11,12,14],[2,7,8,9,10,12,14],[3,4,5,9,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,8,11,12],[3,4,8,11,12,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2203]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2204: autom. group order 2, simple, residual B[2204]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,11,13,14],[1,4,5,6,9,12,14],[1,4,6,7,10,11,14],[1,4,7,8,9,11,13],[1,5,7,8,10,12,13],[1,5,7,9,11,12,14],[1,6,8,9,10,12,13],[2,3,7,9,12,13,14],[2,4,5,7,10,11,13],[2,4,6,7,9,12,13],[2,4,6,8,10,12,14],[2,5,6,8,9,11,14],[2,5,6,10,11,12,13],[2,7,8,9,10,11,14],[3,4,5,9,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,8,11,12],[3,4,8,11,12,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2204]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2205: autom. group order 2, simple, residual B[2205]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,12,13,14],[1,4,5,6,9,11,14],[1,4,6,7,10,11,14],[1,4,7,8,9,12,14],[1,5,7,8,10,11,13],[1,5,7,9,11,12,13],[1,6,8,9,10,12,13],[2,3,7,9,11,13,14],[2,4,5,7,10,12,13],[2,4,6,7,9,12,13],[2,4,6,8,10,11,13],[2,5,6,8,9,12,14],[2,5,6,10,11,12,14],[2,7,8,9,10,11,14],[3,4,5,9,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,8,11,12],[3,4,8,11,12,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2205]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2206: autom. group order 2, simple B[2206]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,12,13,14],[1,4,5,6,10,11,14],[1,4,6,7,9,12,14],[1,4,7,8,9,11,14],[1,5,7,8,10,11,13],[1,5,7,9,10,12,13],[1,6,8,9,11,12,13],[2,3,7,9,11,13,14],[2,4,5,7,9,12,13],[2,4,6,7,10,11,13],[2,4,6,8,10,12,13],[2,5,6,8,9,12,14],[2,5,6,9,10,11,14],[2,7,8,10,11,12,14],[3,4,5,9,10,11,12],[3,4,5,11,12,13,14],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2206]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2207: autom. group order 2, simple B[2207]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,12,13,14],[1,4,5,6,10,11,14],[1,4,6,7,9,12,14],[1,4,7,8,10,11,13],[1,5,7,8,9,11,14],[1,5,7,9,10,12,13],[1,6,8,9,11,12,13],[2,3,7,9,11,13,14],[2,4,5,7,9,12,13],[2,4,6,7,10,11,13],[2,4,6,8,9,12,14],[2,5,6,8,10,12,13],[2,5,6,9,10,11,14],[2,7,8,10,11,12,14],[3,4,5,9,10,11,12],[3,4,5,11,12,13,14],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2207]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2208: autom. group order 2, simple, residual B[2208]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,10,12,13,14],[1,2,4,5,7,9,14],[1,3,6,7,8,13,14],[1,4,5,6,10,11,12],[1,4,6,11,12,13,14],[1,4,7,8,10,11,13],[1,5,7,9,11,12,14],[1,5,8,9,10,13,14],[1,6,7,8,9,10,12],[2,3,7,10,11,12,14],[2,4,5,7,8,12,13],[2,4,6,8,9,11,14],[2,4,6,8,10,12,14],[2,5,6,7,10,13,14],[2,5,6,9,10,11,13],[2,7,8,9,11,12,13],[3,4,5,8,11,13,14],[3,4,5,9,10,12,13],[3,4,6,7,9,12,13],[3,4,7,9,10,11,14],[3,5,6,7,8,10,11],[3,5,6,8,9,12,14]]; G[2208]:=Group([(1,3)(4,12)(5,10)(6,13)(7,14)(9,11)]); # Design 2209: autom. group order 2, simple B[2209]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,7,11,13,14],[1,4,5,6,9,10,12],[1,4,6,8,12,13,14],[1,4,7,10,11,12,14],[1,5,7,8,9,12,13],[1,5,7,9,10,11,13],[1,6,8,9,10,11,14],[2,3,9,10,12,13,14],[2,4,5,10,11,13,14],[2,4,6,7,8,10,11],[2,4,6,9,11,12,13],[2,5,6,7,10,12,13],[2,5,7,8,9,11,14],[2,6,7,8,9,12,14],[3,4,5,6,7,9,14],[3,4,5,9,11,12,14],[3,4,7,8,9,10,13],[3,4,7,8,11,12,13],[3,5,6,8,10,11,12],[3,5,6,8,10,13,14]]; G[2209]:=Group([(1,2)(5,8)(6,10)(7,9)(11,12)(13,14)]); # Design 2210: autom. group order 2, simple, residual B[2210]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,7,11,13,14],[1,4,5,6,10,12,13],[1,4,6,8,9,12,14],[1,4,7,10,11,12,14],[1,5,7,8,9,12,13],[1,5,9,10,11,13,14],[1,6,7,8,9,10,11],[2,3,9,10,12,13,14],[2,4,5,7,10,11,13],[2,4,6,8,10,11,14],[2,4,6,9,11,12,13],[2,5,6,7,9,10,12],[2,5,7,8,9,11,14],[2,6,7,8,12,13,14],[3,4,5,6,7,9,14],[3,4,5,9,11,12,14],[3,4,7,8,9,10,13],[3,4,7,8,11,12,13],[3,5,6,8,10,11,12],[3,5,6,8,10,13,14]]; G[2210]:=Group([(1,2)(5,8)(6,10)(7,9)(11,12)(13,14)]); # Design 2211: autom. group order 2, simple, residual B[2211]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,7,9,13,14],[1,4,5,6,10,11,14],[1,4,6,8,10,12,13],[1,4,9,11,12,13,14],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[1,6,7,8,9,11,12],[2,3,10,11,12,13,14],[2,4,5,7,9,11,14],[2,4,6,7,10,11,12],[2,4,6,8,9,12,14],[2,5,6,9,10,11,13],[2,5,7,8,9,12,13],[2,6,7,8,10,13,14],[3,4,5,6,7,12,13],[3,4,5,9,10,12,13],[3,4,7,8,9,10,11],[3,4,7,8,11,13,14],[3,5,6,8,9,10,14],[3,5,6,8,11,12,14]]; G[2211]:=Group([(1,2)(4,8)(6,12)(7,11)(9,10)(13,14)]); # Design 2212: autom. group order 2, simple B[2212]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,9,11,14],[1,4,6,7,10,11,12],[1,4,7,8,9,11,13],[1,5,7,8,9,10,12],[1,5,7,8,12,13,14],[1,6,8,10,11,13,14],[2,3,7,8,10,11,13],[2,4,5,8,10,11,12],[2,4,6,7,8,12,14],[2,4,6,8,9,12,13],[2,5,6,9,11,12,13],[2,5,7,9,10,11,14],[2,6,7,9,10,13,14],[3,4,5,6,7,10,13],[3,4,5,8,9,13,14],[3,4,7,11,12,13,14],[3,4,9,10,11,12,14],[3,5,6,7,8,9,11],[3,5,6,8,10,12,14]]; G[2212]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 2213: autom. group order 2, simple B[2213]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,9,11,14],[1,4,6,7,10,11,13],[1,4,7,8,9,11,13],[1,5,7,8,9,10,12],[1,5,7,8,12,13,14],[1,6,8,10,11,12,14],[2,3,7,8,10,11,13],[2,4,5,8,10,11,12],[2,4,6,7,8,12,14],[2,4,6,8,9,12,13],[2,5,6,9,11,12,13],[2,5,7,9,10,11,14],[2,6,7,9,10,13,14],[3,4,5,6,7,10,12],[3,4,5,8,9,13,14],[3,4,7,11,12,13,14],[3,4,9,10,11,12,14],[3,5,6,7,8,9,11],[3,5,6,8,10,13,14]]; G[2213]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 2214: autom. group order 2, simple, residual B[2214]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,9,11,14],[1,4,6,7,10,11,12],[1,4,7,8,11,12,13],[1,5,7,8,9,10,12],[1,5,7,8,9,13,14],[1,6,8,10,11,13,14],[2,3,7,8,10,11,13],[2,4,5,8,9,10,11],[2,4,6,7,8,12,14],[2,4,6,8,9,12,13],[2,5,6,9,11,12,13],[2,5,7,10,11,12,14],[2,6,7,9,10,13,14],[3,4,5,6,7,10,13],[3,4,5,8,12,13,14],[3,4,7,9,11,13,14],[3,4,9,10,11,12,14],[3,5,6,7,8,9,11],[3,5,6,8,10,12,14]]; G[2214]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 2215: autom. group order 2, simple, residual B[2215]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,9,11,14],[1,4,6,7,10,11,13],[1,4,7,8,11,12,13],[1,5,7,8,9,10,12],[1,5,7,8,9,13,14],[1,6,8,10,11,12,14],[2,3,7,8,10,11,13],[2,4,5,8,9,10,11],[2,4,6,7,8,12,14],[2,4,6,8,9,12,13],[2,5,6,9,11,12,13],[2,5,7,10,11,12,14],[2,6,7,9,10,13,14],[3,4,5,6,7,10,12],[3,4,5,8,12,13,14],[3,4,7,9,11,13,14],[3,4,9,10,11,12,14],[3,5,6,7,8,9,11],[3,5,6,8,10,13,14]]; G[2215]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 2216: autom. group order 2, simple, residual B[2216]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,6,10,11,13],[1,4,6,7,11,12,14],[1,4,7,9,10,11,12],[1,5,7,8,9,10,14],[1,5,7,8,9,12,13],[1,6,8,9,11,13,14],[2,3,7,9,11,12,14],[2,4,5,8,9,11,14],[2,4,6,7,8,9,13],[2,4,6,9,10,12,14],[2,5,6,8,10,11,12],[2,5,7,10,11,13,14],[2,6,7,8,10,12,13],[3,4,5,6,7,8,14],[3,4,5,9,10,12,13],[3,4,7,8,11,12,13],[3,4,8,10,11,13,14],[3,5,6,7,9,10,11],[3,5,6,9,12,13,14]]; G[2216]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2217: autom. group order 2, simple, residual B[2217]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,14],[1,4,5,6,11,13,14],[1,4,6,7,10,11,12],[1,4,7,8,9,11,14],[1,5,7,8,9,12,13],[1,5,7,9,10,12,14],[1,6,8,9,10,11,13],[2,3,7,9,10,11,14],[2,4,5,9,10,11,12],[2,4,6,7,9,12,13],[2,4,6,8,9,12,14],[2,5,6,8,11,12,14],[2,5,7,8,10,11,13],[2,6,7,8,10,13,14],[3,4,5,6,7,8,10],[3,4,5,8,9,13,14],[3,4,7,8,11,12,13],[3,4,10,11,12,13,14],[3,5,6,7,9,11,14],[3,5,6,9,10,12,13]]; G[2217]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2218: autom. group order 2, simple B[2218]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,6,10,11,13],[1,4,6,7,11,12,14],[1,4,7,8,9,11,12],[1,5,7,8,9,10,14],[1,5,7,9,10,12,13],[1,6,8,9,11,13,14],[2,3,7,9,11,12,14],[2,4,5,9,10,11,14],[2,4,6,7,8,9,13],[2,4,6,9,10,12,14],[2,5,6,8,10,11,12],[2,5,7,8,11,13,14],[2,6,7,8,10,12,13],[3,4,5,6,7,8,14],[3,4,5,8,9,12,13],[3,4,7,10,11,12,13],[3,4,8,10,11,13,14],[3,5,6,7,9,10,11],[3,5,6,9,12,13,14]]; G[2218]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2219: autom. group order 2, simple, residual B[2219]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,14],[1,4,5,6,10,11,13],[1,4,6,7,11,12,14],[1,4,7,8,9,11,12],[1,5,7,8,9,10,14],[1,5,7,9,10,12,13],[1,6,8,9,11,13,14],[2,3,7,9,10,11,14],[2,4,5,9,11,12,14],[2,4,6,7,8,9,13],[2,4,6,9,10,12,14],[2,5,6,8,10,11,12],[2,5,7,8,11,13,14],[2,6,7,8,10,12,13],[3,4,5,6,7,8,14],[3,4,5,8,9,12,13],[3,4,7,10,11,12,13],[3,4,8,10,11,13,14],[3,5,6,7,9,10,11],[3,5,6,9,12,13,14]]; G[2219]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2220: autom. group order 2, simple, residual B[2220]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,6,10,11,13],[1,4,6,7,8,11,14],[1,4,7,9,10,11,12],[1,5,7,8,9,10,14],[1,5,7,8,9,12,13],[1,6,9,11,12,13,14],[2,3,7,9,11,12,14],[2,4,5,8,9,11,14],[2,4,6,7,8,9,13],[2,4,6,9,10,12,14],[2,5,6,8,10,11,12],[2,5,7,10,11,13,14],[2,6,7,8,10,12,13],[3,4,5,6,7,12,14],[3,4,5,9,10,12,13],[3,4,7,8,11,12,13],[3,4,8,10,11,13,14],[3,5,6,7,9,10,11],[3,5,6,8,9,13,14]]; G[2220]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2221: autom. group order 2, simple, residual B[2221]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,14],[1,4,5,6,11,13,14],[1,4,6,7,8,10,11],[1,4,7,8,9,11,14],[1,5,7,8,9,12,13],[1,5,7,9,10,12,14],[1,6,9,10,11,12,13],[2,3,7,9,10,11,14],[2,4,5,9,10,11,12],[2,4,6,7,9,12,13],[2,4,6,8,9,12,14],[2,5,6,8,11,12,14],[2,5,7,8,10,11,13],[2,6,7,8,10,13,14],[3,4,5,6,7,10,12],[3,4,5,8,9,13,14],[3,4,7,8,11,12,13],[3,4,10,11,12,13,14],[3,5,6,7,9,11,14],[3,5,6,8,9,10,13]]; G[2221]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2222: autom. group order 2, simple B[2222]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,6,10,11,13],[1,4,6,7,8,11,14],[1,4,7,8,9,11,12],[1,5,7,8,9,10,14],[1,5,7,9,10,12,13],[1,6,9,11,12,13,14],[2,3,7,9,11,12,14],[2,4,5,9,10,11,14],[2,4,6,7,8,9,13],[2,4,6,9,10,12,14],[2,5,6,8,10,11,12],[2,5,7,8,11,13,14],[2,6,7,8,10,12,13],[3,4,5,6,7,12,14],[3,4,5,8,9,12,13],[3,4,7,10,11,12,13],[3,4,8,10,11,13,14],[3,5,6,7,9,10,11],[3,5,6,8,9,13,14]]; G[2222]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2223: autom. group order 2, simple, residual B[2223]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,14],[1,4,5,6,10,11,13],[1,4,6,7,8,11,14],[1,4,7,8,9,11,12],[1,5,7,8,9,10,14],[1,5,7,9,10,12,13],[1,6,9,11,12,13,14],[2,3,7,9,10,11,14],[2,4,5,9,11,12,14],[2,4,6,7,8,9,13],[2,4,6,9,10,12,14],[2,5,6,8,10,11,12],[2,5,7,8,11,13,14],[2,6,7,8,10,12,13],[3,4,5,6,7,12,14],[3,4,5,8,9,12,13],[3,4,7,10,11,12,13],[3,4,8,10,11,13,14],[3,5,6,7,9,10,11],[3,5,6,8,9,13,14]]; G[2223]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2224: autom. group order 2, simple, residual B[2224]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,11,13,14],[1,2,3,7,9,12,13],[1,2,4,5,9,10,14],[1,3,6,7,8,10,14],[1,4,5,6,12,13,14],[1,4,6,7,9,11,12],[1,4,8,10,11,12,14],[1,5,7,8,10,12,13],[1,5,7,9,11,13,14],[1,6,8,9,10,11,13],[2,3,10,11,12,13,14],[2,4,5,8,9,11,13],[2,4,6,7,10,11,12],[2,4,7,8,12,13,14],[2,5,6,7,8,10,13],[2,5,6,9,10,12,14],[2,6,7,8,9,11,14],[3,4,5,6,10,11,13],[3,4,5,7,8,11,14],[3,4,6,8,9,12,13],[3,4,7,9,10,13,14],[3,5,6,8,9,12,14],[3,5,7,9,10,11,12]]; G[2224]:=Group([(2,10)(3,8)(5,14)(6,12)(7,11)]); # Design 2225: autom. group order 2, simple, residual B[2225]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,11,13,14],[1,2,3,7,9,12,13],[1,2,4,5,10,13,14],[1,3,6,7,8,10,14],[1,4,5,6,9,12,14],[1,4,6,7,9,11,12],[1,4,8,10,11,12,14],[1,5,7,8,10,12,13],[1,5,7,9,11,13,14],[1,6,8,9,10,11,13],[2,3,9,10,11,12,14],[2,4,5,8,9,11,13],[2,4,6,7,8,11,14],[2,4,7,8,12,13,14],[2,5,6,7,8,9,10],[2,5,6,9,10,12,14],[2,6,7,10,11,12,13],[3,4,5,6,10,11,13],[3,4,5,7,10,11,12],[3,4,6,8,9,12,13],[3,4,7,9,10,13,14],[3,5,6,8,12,13,14],[3,5,7,8,9,11,14]]; G[2225]:=Group([(2,10)(3,8)(5,14)(6,12)(7,11)]); # Design 2226: autom. group order 2, simple, residual B[2226]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,7,9,13,14],[1,4,5,6,11,12,13],[1,4,6,8,10,11,14],[1,4,7,9,10,11,13],[1,5,7,8,10,12,13],[1,5,7,9,11,12,14],[1,6,8,9,10,12,14],[2,3,10,11,12,13,14],[2,4,5,9,10,11,14],[2,4,6,7,11,12,14],[2,4,7,8,9,12,13],[2,5,6,7,8,9,14],[2,5,6,9,10,12,13],[2,6,7,8,10,11,13],[3,4,5,6,9,10,12],[3,4,5,7,10,13,14],[3,4,6,8,12,13,14],[3,4,7,8,9,11,12],[3,5,6,7,8,10,11],[3,5,8,9,11,13,14]]; G[2226]:=Group([(1,14)(2,13)(6,10)(9,12)]); # Design 2227: autom. group order 2, simple, residual B[2227]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,11,13],[1,3,6,7,10,13,14],[1,4,5,6,8,9,10],[1,4,6,8,12,13,14],[1,4,7,8,11,12,13],[1,5,7,8,9,13,14],[1,5,9,10,11,12,14],[1,6,7,9,10,11,12],[2,3,8,9,10,12,13],[2,4,5,7,8,12,14],[2,4,6,9,11,12,14],[2,4,7,9,10,13,14],[2,5,6,7,8,9,11],[2,5,6,7,10,12,13],[2,6,8,10,11,13,14],[3,4,5,6,10,12,14],[3,4,5,9,11,13,14],[3,4,6,7,9,11,13],[3,4,7,8,10,11,12],[3,5,6,8,9,12,13],[3,5,7,8,10,11,14]]; G[2227]:=Group([(1,13)(3,10)(4,12)]); # Design 2228: autom. group order 2, simple, residual B[2228]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,9,14],[1,4,6,7,10,11,12],[1,4,10,11,12,13,14],[1,5,7,8,9,10,13],[1,5,8,9,11,13,14],[1,6,7,8,9,11,12],[2,3,7,9,11,12,14],[2,4,5,9,10,11,12],[2,4,6,8,9,10,14],[2,4,7,8,9,12,13],[2,5,6,7,10,11,13],[2,5,6,8,10,11,14],[2,6,7,8,12,13,14],[3,4,5,6,8,12,13],[3,4,5,7,8,11,14],[3,4,6,9,11,13,14],[3,4,7,8,10,11,13],[3,5,6,9,10,12,13],[3,5,7,9,10,12,14]]; G[2228]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2229: autom. group order 2, simple, residual B[2229]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,9,12],[1,4,6,7,10,11,14],[1,4,8,11,12,13,14],[1,5,7,9,10,12,13],[1,5,8,9,10,11,13],[1,6,7,8,9,11,14],[2,3,7,9,11,12,14],[2,4,5,9,10,11,14],[2,4,6,8,9,10,12],[2,4,7,8,9,13,14],[2,5,6,7,8,11,13],[2,5,6,10,11,12,14],[2,6,7,8,10,12,13],[3,4,5,6,8,13,14],[3,4,5,7,8,10,11],[3,4,6,9,11,12,13],[3,4,7,10,11,12,13],[3,5,6,9,10,13,14],[3,5,7,8,9,12,14]]; G[2229]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2230: autom. group order 2, simple B[2230]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,9,12],[1,4,6,7,10,11,14],[1,4,8,11,12,13,14],[1,5,7,9,10,12,13],[1,5,8,9,10,11,13],[1,6,7,8,9,11,14],[2,3,7,9,10,11,14],[2,4,5,9,11,12,14],[2,4,6,8,9,10,12],[2,4,7,8,9,13,14],[2,5,6,7,8,11,13],[2,5,6,10,11,12,14],[2,6,7,8,10,12,13],[3,4,5,6,8,13,14],[3,4,5,7,8,10,11],[3,4,6,9,11,12,13],[3,4,7,10,11,12,13],[3,5,6,9,10,13,14],[3,5,7,8,9,12,14]]; G[2230]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2231: autom. group order 2, simple, residual B[2231]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,9,12],[1,4,6,7,10,11,14],[1,4,8,11,12,13,14],[1,5,7,8,9,10,13],[1,5,9,10,11,12,13],[1,6,7,8,9,11,14],[2,3,7,9,10,11,14],[2,4,5,8,9,11,14],[2,4,6,8,9,10,12],[2,4,7,9,12,13,14],[2,5,6,7,8,11,13],[2,5,6,10,11,12,14],[2,6,7,8,10,12,13],[3,4,5,6,8,13,14],[3,4,5,7,10,11,12],[3,4,6,9,11,12,13],[3,4,7,8,10,11,13],[3,5,6,9,10,13,14],[3,5,7,8,9,12,14]]; G[2231]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2232: autom. group order 2, simple, residual B[2232]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,9,14],[1,4,6,7,8,11,12],[1,4,10,11,12,13,14],[1,5,7,8,9,10,13],[1,5,8,9,11,13,14],[1,6,7,9,10,11,12],[2,3,7,9,11,12,14],[2,4,5,9,10,11,12],[2,4,6,8,9,10,14],[2,4,7,8,9,12,13],[2,5,6,7,10,11,13],[2,5,6,8,10,11,14],[2,6,7,8,12,13,14],[3,4,5,6,10,12,13],[3,4,5,7,8,11,14],[3,4,6,9,11,13,14],[3,4,7,8,10,11,13],[3,5,6,8,9,12,13],[3,5,7,9,10,12,14]]; G[2232]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2233: autom. group order 2, simple, residual B[2233]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,9,12],[1,4,6,7,8,11,14],[1,4,8,11,12,13,14],[1,5,7,9,10,12,13],[1,5,8,9,10,11,13],[1,6,7,9,10,11,14],[2,3,7,9,11,12,14],[2,4,5,9,10,11,14],[2,4,6,8,9,10,12],[2,4,7,8,9,13,14],[2,5,6,7,8,11,13],[2,5,6,10,11,12,14],[2,6,7,8,10,12,13],[3,4,5,6,10,13,14],[3,4,5,7,8,10,11],[3,4,6,9,11,12,13],[3,4,7,10,11,12,13],[3,5,6,8,9,13,14],[3,5,7,8,9,12,14]]; G[2233]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2234: autom. group order 2, simple B[2234]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,9,12],[1,4,6,7,8,11,14],[1,4,8,11,12,13,14],[1,5,7,9,10,12,13],[1,5,8,9,10,11,13],[1,6,7,9,10,11,14],[2,3,7,9,10,11,14],[2,4,5,9,11,12,14],[2,4,6,8,9,10,12],[2,4,7,8,9,13,14],[2,5,6,7,8,11,13],[2,5,6,10,11,12,14],[2,6,7,8,10,12,13],[3,4,5,6,10,13,14],[3,4,5,7,8,10,11],[3,4,6,9,11,12,13],[3,4,7,10,11,12,13],[3,5,6,8,9,13,14],[3,5,7,8,9,12,14]]; G[2234]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2235: autom. group order 2, simple, residual B[2235]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,9,12],[1,4,6,7,8,11,14],[1,4,8,11,12,13,14],[1,5,7,8,9,10,13],[1,5,9,10,11,12,13],[1,6,7,9,10,11,14],[2,3,7,9,10,11,14],[2,4,5,8,9,11,14],[2,4,6,8,9,10,12],[2,4,7,9,12,13,14],[2,5,6,7,8,11,13],[2,5,6,10,11,12,14],[2,6,7,8,10,12,13],[3,4,5,6,10,13,14],[3,4,5,7,10,11,12],[3,4,6,9,11,12,13],[3,4,7,8,10,11,13],[3,5,6,8,9,13,14],[3,5,7,8,9,12,14]]; G[2235]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2236: autom. group order 2, simple B[2236]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,7,8,12],[1,4,6,9,11,13,14],[1,4,7,9,11,12,13],[1,5,7,8,9,10,14],[1,5,8,10,11,12,14],[1,6,7,8,10,11,13],[2,3,7,8,10,11,13],[2,4,5,8,9,11,13],[2,4,6,8,9,10,12],[2,4,7,8,12,13,14],[2,5,6,7,9,11,14],[2,5,6,9,10,11,12],[2,6,7,10,12,13,14],[3,4,5,6,10,13,14],[3,4,5,7,10,11,12],[3,4,6,8,11,12,14],[3,4,7,9,10,11,14],[3,5,6,7,8,9,13],[3,5,8,9,12,13,14]]; G[2236]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 2237: autom. group order 2, simple, residual B[2237]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,7,8,12],[1,4,6,9,11,13,14],[1,4,7,9,11,12,13],[1,5,7,8,10,12,14],[1,5,8,9,10,11,14],[1,6,7,8,10,11,13],[2,3,7,8,10,11,13],[2,4,5,8,11,12,13],[2,4,6,8,9,10,12],[2,4,7,8,9,13,14],[2,5,6,7,9,11,14],[2,5,6,9,10,11,12],[2,6,7,10,12,13,14],[3,4,5,6,10,13,14],[3,4,5,7,9,10,11],[3,4,6,8,11,12,14],[3,4,7,10,11,12,14],[3,5,6,7,8,9,13],[3,5,8,9,12,13,14]]; G[2237]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 2238: autom. group order 2, simple B[2238]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,7,8,12],[1,4,6,10,11,13,14],[1,4,7,9,11,12,13],[1,5,7,8,9,10,14],[1,5,8,10,11,12,14],[1,6,7,8,9,11,13],[2,3,7,8,10,11,13],[2,4,5,8,9,11,13],[2,4,6,8,9,10,12],[2,4,7,8,12,13,14],[2,5,6,7,9,11,14],[2,5,6,9,10,11,12],[2,6,7,10,12,13,14],[3,4,5,6,9,13,14],[3,4,5,7,10,11,12],[3,4,6,8,11,12,14],[3,4,7,9,10,11,14],[3,5,6,7,8,10,13],[3,5,8,9,12,13,14]]; G[2238]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 2239: autom. group order 2, simple, residual B[2239]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,7,8,12],[1,4,6,10,11,13,14],[1,4,7,9,11,12,13],[1,5,7,8,10,12,14],[1,5,8,9,10,11,14],[1,6,7,8,9,11,13],[2,3,7,8,10,11,13],[2,4,5,8,11,12,13],[2,4,6,8,9,10,12],[2,4,7,8,9,13,14],[2,5,6,7,9,11,14],[2,5,6,9,10,11,12],[2,6,7,10,12,13,14],[3,4,5,6,9,13,14],[3,4,5,7,9,10,11],[3,4,6,8,11,12,14],[3,4,7,10,11,12,14],[3,5,6,7,8,10,13],[3,5,8,9,12,13,14]]; G[2239]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 2240: autom. group order 2, simple, residual B[2240]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,9,14],[1,4,6,10,11,12,13],[1,4,7,10,11,12,14],[1,5,7,8,9,10,13],[1,5,8,9,11,13,14],[1,6,7,8,9,11,12],[2,3,7,9,11,12,14],[2,4,5,9,10,11,12],[2,4,6,8,9,10,14],[2,4,7,8,9,12,13],[2,5,6,7,10,11,13],[2,5,6,8,10,11,14],[2,6,7,8,12,13,14],[3,4,5,6,8,12,13],[3,4,5,7,8,11,14],[3,4,6,9,11,13,14],[3,4,7,8,10,11,13],[3,5,6,7,9,10,12],[3,5,9,10,12,13,14]]; G[2240]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2241: autom. group order 2, simple, residual B[2241]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,9,12],[1,4,6,10,11,13,14],[1,4,7,8,11,12,14],[1,5,7,9,10,12,13],[1,5,8,9,10,11,13],[1,6,7,8,9,11,14],[2,3,7,9,11,12,14],[2,4,5,9,10,11,14],[2,4,6,8,9,10,12],[2,4,7,8,9,13,14],[2,5,6,7,8,11,13],[2,5,6,10,11,12,14],[2,6,7,8,10,12,13],[3,4,5,6,8,13,14],[3,4,5,7,8,10,11],[3,4,6,9,11,12,13],[3,4,7,10,11,12,13],[3,5,6,7,9,10,14],[3,5,8,9,12,13,14]]; G[2241]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2242: autom. group order 2, simple B[2242]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,9,12],[1,4,6,10,11,13,14],[1,4,7,8,11,12,14],[1,5,7,9,10,12,13],[1,5,8,9,10,11,13],[1,6,7,8,9,11,14],[2,3,7,9,10,11,14],[2,4,5,9,11,12,14],[2,4,6,8,9,10,12],[2,4,7,8,9,13,14],[2,5,6,7,8,11,13],[2,5,6,10,11,12,14],[2,6,7,8,10,12,13],[3,4,5,6,8,13,14],[3,4,5,7,8,10,11],[3,4,6,9,11,12,13],[3,4,7,10,11,12,13],[3,5,6,7,9,10,14],[3,5,8,9,12,13,14]]; G[2242]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2243: autom. group order 2, simple, residual B[2243]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,9,12],[1,4,6,10,11,13,14],[1,4,7,8,11,12,14],[1,5,7,8,9,10,13],[1,5,9,10,11,12,13],[1,6,7,8,9,11,14],[2,3,7,9,10,11,14],[2,4,5,8,9,11,14],[2,4,6,8,9,10,12],[2,4,7,9,12,13,14],[2,5,6,7,8,11,13],[2,5,6,10,11,12,14],[2,6,7,8,10,12,13],[3,4,5,6,8,13,14],[3,4,5,7,10,11,12],[3,4,6,9,11,12,13],[3,4,7,8,10,11,13],[3,5,6,7,9,10,14],[3,5,8,9,12,13,14]]; G[2243]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2244: autom. group order 2, simple, residual B[2244]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,9,14],[1,4,6,8,11,12,13],[1,4,7,10,11,12,14],[1,5,7,8,9,10,13],[1,5,8,9,11,13,14],[1,6,7,9,10,11,12],[2,3,7,9,11,12,14],[2,4,5,9,10,11,12],[2,4,6,8,9,10,14],[2,4,7,8,9,12,13],[2,5,6,7,10,11,13],[2,5,6,8,10,11,14],[2,6,7,8,12,13,14],[3,4,5,6,10,12,13],[3,4,5,7,8,11,14],[3,4,6,9,11,13,14],[3,4,7,8,10,11,13],[3,5,6,7,8,9,12],[3,5,9,10,12,13,14]]; G[2244]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2245: autom. group order 2, simple, residual B[2245]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,9,12],[1,4,6,8,11,13,14],[1,4,7,8,11,12,14],[1,5,7,9,10,12,13],[1,5,8,9,10,11,13],[1,6,7,9,10,11,14],[2,3,7,9,11,12,14],[2,4,5,9,10,11,14],[2,4,6,8,9,10,12],[2,4,7,8,9,13,14],[2,5,6,7,8,11,13],[2,5,6,10,11,12,14],[2,6,7,8,10,12,13],[3,4,5,6,10,13,14],[3,4,5,7,8,10,11],[3,4,6,9,11,12,13],[3,4,7,10,11,12,13],[3,5,6,7,8,9,14],[3,5,8,9,12,13,14]]; G[2245]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2246: autom. group order 2, simple B[2246]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,9,12],[1,4,6,8,11,13,14],[1,4,7,8,11,12,14],[1,5,7,9,10,12,13],[1,5,8,9,10,11,13],[1,6,7,9,10,11,14],[2,3,7,9,10,11,14],[2,4,5,9,11,12,14],[2,4,6,8,9,10,12],[2,4,7,8,9,13,14],[2,5,6,7,8,11,13],[2,5,6,10,11,12,14],[2,6,7,8,10,12,13],[3,4,5,6,10,13,14],[3,4,5,7,8,10,11],[3,4,6,9,11,12,13],[3,4,7,10,11,12,13],[3,5,6,7,8,9,14],[3,5,8,9,12,13,14]]; G[2246]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2247: autom. group order 2, simple, residual B[2247]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,14],[1,4,5,6,7,9,12],[1,4,6,8,11,13,14],[1,4,7,8,11,12,14],[1,5,7,8,9,10,13],[1,5,9,10,11,12,13],[1,6,7,9,10,11,14],[2,3,7,9,10,11,14],[2,4,5,8,9,11,14],[2,4,6,8,9,10,12],[2,4,7,9,12,13,14],[2,5,6,7,8,11,13],[2,5,6,10,11,12,14],[2,6,7,8,10,12,13],[3,4,5,6,10,13,14],[3,4,5,7,10,11,12],[3,4,6,9,11,12,13],[3,4,7,8,10,11,13],[3,5,6,7,8,9,14],[3,5,8,9,12,13,14]]; G[2247]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2248: autom. group order 2, simple B[2248]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,8,12,14],[1,4,6,7,9,11,13],[1,4,7,9,10,11,14],[1,5,7,8,9,12,13],[1,5,7,8,10,11,12],[1,6,8,10,11,13,14],[2,3,7,8,10,11,13],[2,4,5,8,9,11,13],[2,4,6,8,9,10,12],[2,4,7,8,12,13,14],[2,5,6,7,9,11,14],[2,5,6,9,10,11,12],[2,6,7,10,12,13,14],[3,4,5,6,7,10,13],[3,4,5,10,11,12,14],[3,4,6,7,8,11,12],[3,4,9,11,12,13,14],[3,5,6,8,9,13,14],[3,5,7,8,9,10,14]]; G[2248]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 2249: autom. group order 2, simple, residual B[2249]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,8,12,14],[1,4,6,7,9,11,13],[1,4,7,10,11,12,14],[1,5,7,8,9,10,11],[1,5,7,8,9,12,13],[1,6,8,10,11,13,14],[2,3,7,8,10,11,13],[2,4,5,8,11,12,13],[2,4,6,8,9,10,12],[2,4,7,8,9,13,14],[2,5,6,7,9,11,14],[2,5,6,9,10,11,12],[2,6,7,10,12,13,14],[3,4,5,6,7,10,13],[3,4,5,9,10,11,14],[3,4,6,7,8,11,12],[3,4,9,11,12,13,14],[3,5,6,8,9,13,14],[3,5,7,8,10,12,14]]; G[2249]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 2250: autom. group order 2, simple B[2250]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,8,12,14],[1,4,6,7,10,11,13],[1,4,7,9,10,11,14],[1,5,7,8,9,12,13],[1,5,7,8,10,11,12],[1,6,8,9,11,13,14],[2,3,7,8,10,11,13],[2,4,5,8,9,11,13],[2,4,6,8,9,10,12],[2,4,7,8,12,13,14],[2,5,6,7,9,11,14],[2,5,6,9,10,11,12],[2,6,7,10,12,13,14],[3,4,5,6,7,9,13],[3,4,5,10,11,12,14],[3,4,6,7,8,11,12],[3,4,9,11,12,13,14],[3,5,6,8,10,13,14],[3,5,7,8,9,10,14]]; G[2250]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 2251: autom. group order 2, simple, residual B[2251]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,8,12,14],[1,4,6,7,10,11,13],[1,4,7,10,11,12,14],[1,5,7,8,9,10,11],[1,5,7,8,9,12,13],[1,6,8,9,11,13,14],[2,3,7,8,10,11,13],[2,4,5,8,11,12,13],[2,4,6,8,9,10,12],[2,4,7,8,9,13,14],[2,5,6,7,9,11,14],[2,5,6,9,10,11,12],[2,6,7,10,12,13,14],[3,4,5,6,7,9,13],[3,4,5,9,10,11,14],[3,4,6,7,8,11,12],[3,4,9,11,12,13,14],[3,5,6,8,10,13,14],[3,5,7,8,10,12,14]]; G[2251]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 2252: autom. group order 2, simple, residual B[2252]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,6,9,12,13],[1,4,6,7,10,11,14],[1,4,7,10,11,12,13],[1,5,7,8,9,10,11],[1,5,7,8,9,12,14],[1,6,8,9,11,13,14],[2,3,7,9,11,12,14],[2,4,5,9,10,11,14],[2,4,6,8,9,10,12],[2,4,7,8,9,13,14],[2,5,6,7,8,11,13],[2,5,6,10,11,12,14],[2,6,7,8,10,12,13],[3,4,5,6,7,8,14],[3,4,5,8,10,11,13],[3,4,6,7,9,11,12],[3,4,8,11,12,13,14],[3,5,6,9,10,13,14],[3,5,7,9,10,12,13]]; G[2252]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2253: autom. group order 2, simple, residual B[2253]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,6,9,13,14],[1,4,6,7,10,11,12],[1,4,7,8,10,11,13],[1,5,7,8,9,11,14],[1,5,7,9,10,12,14],[1,6,8,9,11,12,13],[2,3,7,9,11,12,14],[2,4,5,9,10,11,12],[2,4,6,8,9,10,14],[2,4,7,8,9,12,13],[2,5,6,7,10,11,13],[2,5,6,8,10,11,14],[2,6,7,8,12,13,14],[3,4,5,6,7,8,12],[3,4,5,8,11,13,14],[3,4,6,7,9,11,14],[3,4,10,11,12,13,14],[3,5,6,9,10,12,13],[3,5,7,8,9,10,13]]; G[2253]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2254: autom. group order 2, simple, residual B[2254]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,6,9,12,13],[1,4,6,7,8,11,14],[1,4,7,10,11,12,13],[1,5,7,8,9,10,11],[1,5,7,8,9,12,14],[1,6,9,10,11,13,14],[2,3,7,9,11,12,14],[2,4,5,9,10,11,14],[2,4,6,8,9,10,12],[2,4,7,8,9,13,14],[2,5,6,7,8,11,13],[2,5,6,10,11,12,14],[2,6,7,8,10,12,13],[3,4,5,6,7,10,14],[3,4,5,8,10,11,13],[3,4,6,7,9,11,12],[3,4,8,11,12,13,14],[3,5,6,8,9,13,14],[3,5,7,9,10,12,13]]; G[2254]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2255: autom. group order 2, simple, residual B[2255]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,6,9,13,14],[1,4,6,7,8,11,12],[1,4,7,8,10,11,13],[1,5,7,8,9,11,14],[1,5,7,9,10,12,14],[1,6,9,10,11,12,13],[2,3,7,9,11,12,14],[2,4,5,9,10,11,12],[2,4,6,8,9,10,14],[2,4,7,8,9,12,13],[2,5,6,7,10,11,13],[2,5,6,8,10,11,14],[2,6,7,8,12,13,14],[3,4,5,6,7,10,12],[3,4,5,8,11,13,14],[3,4,6,7,9,11,14],[3,4,10,11,12,13,14],[3,5,6,8,9,12,13],[3,5,7,8,9,10,13]]; G[2255]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2256: autom. group order 2, simple, residual B[2256]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,6,9,11,12],[1,4,6,8,10,12,14],[1,4,7,8,9,11,13],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[1,6,7,8,12,13,14],[2,3,7,8,10,12,13],[2,4,5,7,8,11,12],[2,4,6,8,9,12,13],[2,4,7,9,10,11,14],[2,5,6,8,10,11,14],[2,5,6,9,10,12,13],[2,6,7,9,11,13,14],[3,4,5,6,7,13,14],[3,4,5,8,9,13,14],[3,4,6,7,10,11,12],[3,4,10,11,12,13,14],[3,5,6,7,8,9,10],[3,5,8,9,11,12,14]]; G[2256]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2257: autom. group order 2, simple, residual B[2257]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,6,9,11,12],[1,4,6,8,10,12,14],[1,4,7,8,9,11,13],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[1,6,7,8,12,13,14],[2,3,7,8,10,12,13],[2,4,5,7,8,11,12],[2,4,6,8,9,12,13],[2,4,7,9,10,11,14],[2,5,6,8,10,11,13],[2,5,6,9,10,12,14],[2,6,7,9,11,13,14],[3,4,5,6,7,13,14],[3,4,5,8,9,13,14],[3,4,6,7,10,11,12],[3,4,10,11,12,13,14],[3,5,6,7,8,9,10],[3,5,8,9,11,12,14]]; G[2257]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2258: autom. group order 2, simple, residual B[2258]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,9,11,12],[1,4,6,8,10,11,14],[1,4,7,8,9,11,13],[1,5,7,8,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,12,13,14],[2,3,7,8,10,11,13],[2,4,5,7,8,11,12],[2,4,6,8,9,12,13],[2,4,7,9,10,12,14],[2,5,6,8,10,12,14],[2,5,6,9,10,11,13],[2,6,7,9,11,13,14],[3,4,5,6,7,13,14],[3,4,5,8,9,13,14],[3,4,6,7,10,11,12],[3,4,10,11,12,13,14],[3,5,6,7,8,9,10],[3,5,8,9,11,12,14]]; G[2258]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2259: autom. group order 2, simple, residual B[2259]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,9,11,12],[1,4,6,8,10,11,14],[1,4,7,8,9,11,13],[1,5,7,8,10,12,14],[1,5,7,9,10,11,13],[1,6,7,8,12,13,14],[2,3,7,8,10,11,13],[2,4,5,7,8,11,12],[2,4,6,8,9,12,13],[2,4,7,9,10,12,14],[2,5,6,8,10,12,13],[2,5,6,9,10,11,14],[2,6,7,9,11,13,14],[3,4,5,6,7,13,14],[3,4,5,8,9,13,14],[3,4,6,7,10,11,12],[3,4,10,11,12,13,14],[3,5,6,7,8,9,10],[3,5,8,9,11,12,14]]; G[2259]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2260: autom. group order 2, simple, residual B[2260]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,6,8,11,12],[1,4,6,9,10,12,14],[1,4,7,8,9,12,13],[1,5,7,8,10,11,13],[1,5,7,9,10,11,14],[1,6,7,8,12,13,14],[2,3,7,8,10,12,13],[2,4,5,7,9,11,12],[2,4,6,8,9,11,13],[2,4,7,8,10,11,14],[2,5,6,8,10,12,14],[2,5,6,9,10,12,13],[2,6,7,9,11,13,14],[3,4,5,6,7,13,14],[3,4,5,8,9,13,14],[3,4,6,7,10,11,12],[3,4,10,11,12,13,14],[3,5,6,7,8,9,10],[3,5,8,9,11,12,14]]; G[2260]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2261: autom. group order 2, simple, residual B[2261]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,6,8,11,12],[1,4,6,9,10,12,14],[1,4,7,8,9,12,13],[1,5,7,8,10,11,14],[1,5,7,9,10,11,13],[1,6,7,8,12,13,14],[2,3,7,8,10,12,13],[2,4,5,7,9,11,12],[2,4,6,8,9,11,13],[2,4,7,8,10,11,14],[2,5,6,8,10,12,13],[2,5,6,9,10,12,14],[2,6,7,9,11,13,14],[3,4,5,6,7,13,14],[3,4,5,8,9,13,14],[3,4,6,7,10,11,12],[3,4,10,11,12,13,14],[3,5,6,7,8,9,10],[3,5,8,9,11,12,14]]; G[2261]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2262: autom. group order 2, simple, residual B[2262]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,8,11,12],[1,4,6,9,10,11,14],[1,4,7,8,9,12,13],[1,5,7,8,10,11,13],[1,5,7,9,10,11,14],[1,6,7,8,12,13,14],[2,3,7,8,10,11,13],[2,4,5,7,9,11,12],[2,4,6,8,9,11,13],[2,4,7,8,10,12,14],[2,5,6,8,10,12,14],[2,5,6,9,10,12,13],[2,6,7,9,11,13,14],[3,4,5,6,7,13,14],[3,4,5,8,9,13,14],[3,4,6,7,10,11,12],[3,4,10,11,12,13,14],[3,5,6,7,8,9,10],[3,5,8,9,11,12,14]]; G[2262]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2263: autom. group order 2, simple, residual B[2263]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,8,11,12],[1,4,6,9,10,11,14],[1,4,7,8,9,12,13],[1,5,7,8,10,11,14],[1,5,7,9,10,11,13],[1,6,7,8,12,13,14],[2,3,7,8,10,11,13],[2,4,5,7,9,11,12],[2,4,6,8,9,11,13],[2,4,7,8,10,12,14],[2,5,6,8,10,12,13],[2,5,6,9,10,12,14],[2,6,7,9,11,13,14],[3,4,5,6,7,13,14],[3,4,5,8,9,13,14],[3,4,6,7,10,11,12],[3,4,10,11,12,13,14],[3,5,6,7,8,9,10],[3,5,8,9,11,12,14]]; G[2263]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2264: autom. group order 2, simple, residual B[2264]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,6,8,11,12],[1,4,6,8,9,12,13],[1,4,7,9,10,11,14],[1,5,7,8,10,11,13],[1,5,7,8,10,12,14],[1,6,7,9,12,13,14],[2,3,7,8,10,12,13],[2,4,5,7,9,11,12],[2,4,6,8,10,12,14],[2,4,7,8,9,11,13],[2,5,6,9,10,11,14],[2,5,6,9,10,12,13],[2,6,7,8,11,13,14],[3,4,5,6,7,13,14],[3,4,5,8,9,13,14],[3,4,6,7,10,11,12],[3,4,10,11,12,13,14],[3,5,6,7,8,9,10],[3,5,8,9,11,12,14]]; G[2264]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2265: autom. group order 2, simple, residual B[2265]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,6,8,11,12],[1,4,6,8,9,12,13],[1,4,7,9,10,11,14],[1,5,7,8,10,11,14],[1,5,7,8,10,12,13],[1,6,7,9,12,13,14],[2,3,7,8,10,12,13],[2,4,5,7,9,11,12],[2,4,6,8,10,12,14],[2,4,7,8,9,11,13],[2,5,6,9,10,11,13],[2,5,6,9,10,12,14],[2,6,7,8,11,13,14],[3,4,5,6,7,13,14],[3,4,5,8,9,13,14],[3,4,6,7,10,11,12],[3,4,10,11,12,13,14],[3,5,6,7,8,9,10],[3,5,8,9,11,12,14]]; G[2265]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2266: autom. group order 2, simple, residual B[2266]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,8,9,12],[1,4,6,8,10,11,13],[1,4,7,9,11,13,14],[1,5,7,8,10,11,12],[1,5,7,8,12,13,14],[1,6,7,9,10,11,14],[2,3,7,8,10,11,13],[2,4,5,7,8,9,11],[2,4,6,8,12,13,14],[2,4,7,9,10,12,13],[2,5,6,9,10,11,12],[2,5,6,9,11,13,14],[2,6,7,8,10,12,14],[3,4,5,6,7,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,13],[3,4,8,9,11,12,14],[3,5,6,7,8,9,13],[3,5,8,9,10,13,14]]; G[2266]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2267: autom. group order 2, simple, residual B[2267]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,8,9,12],[1,4,6,8,11,13,14],[1,4,7,9,10,11,13],[1,5,7,8,10,11,12],[1,5,7,8,12,13,14],[1,6,7,9,10,11,14],[2,3,7,8,10,11,13],[2,4,5,7,8,9,11],[2,4,6,8,10,12,13],[2,4,7,9,12,13,14],[2,5,6,9,10,11,12],[2,5,6,9,11,13,14],[2,6,7,8,10,12,14],[3,4,5,6,7,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,13],[3,4,8,9,11,12,14],[3,5,6,7,8,9,13],[3,5,8,9,10,13,14]]; G[2267]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2268: autom. group order 2, simple, residual B[2268]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,6,8,11,12],[1,4,6,8,9,12,13],[1,4,7,8,10,11,14],[1,5,7,8,10,12,13],[1,5,7,9,10,11,14],[1,6,7,9,12,13,14],[2,3,7,8,10,12,13],[2,4,5,7,9,11,12],[2,4,6,9,10,12,14],[2,4,7,8,9,11,13],[2,5,6,8,10,12,14],[2,5,6,9,10,11,13],[2,6,7,8,11,13,14],[3,4,5,6,7,13,14],[3,4,5,8,9,13,14],[3,4,6,7,10,11,12],[3,4,10,11,12,13,14],[3,5,6,7,8,9,10],[3,5,8,9,11,12,14]]; G[2268]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2269: autom. group order 2, simple, residual B[2269]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,6,8,11,12],[1,4,6,8,9,12,13],[1,4,7,8,10,11,14],[1,5,7,8,10,12,14],[1,5,7,9,10,11,13],[1,6,7,9,12,13,14],[2,3,7,8,10,12,13],[2,4,5,7,9,11,12],[2,4,6,9,10,12,14],[2,4,7,8,9,11,13],[2,5,6,8,10,12,13],[2,5,6,9,10,11,14],[2,6,7,8,11,13,14],[3,4,5,6,7,13,14],[3,4,5,8,9,13,14],[3,4,6,7,10,11,12],[3,4,10,11,12,13,14],[3,5,6,7,8,9,10],[3,5,8,9,11,12,14]]; G[2269]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2270: autom. group order 2, simple, residual B[2270]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,6,8,11,12],[1,4,6,8,9,12,13],[1,4,7,8,10,12,14],[1,5,7,8,10,11,13],[1,5,7,9,10,11,14],[1,6,7,9,12,13,14],[2,3,7,8,10,12,13],[2,4,5,7,9,11,12],[2,4,6,9,10,11,14],[2,4,7,8,9,11,13],[2,5,6,8,10,12,14],[2,5,6,9,10,12,13],[2,6,7,8,11,13,14],[3,4,5,6,7,13,14],[3,4,5,8,9,13,14],[3,4,6,7,10,11,12],[3,4,10,11,12,13,14],[3,5,6,7,8,9,10],[3,5,8,9,11,12,14]]; G[2270]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2271: autom. group order 2, simple, residual B[2271]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,6,8,11,12],[1,4,6,8,9,12,13],[1,4,7,8,10,12,14],[1,5,7,8,10,11,14],[1,5,7,9,10,11,13],[1,6,7,9,12,13,14],[2,3,7,8,10,12,13],[2,4,5,7,9,11,12],[2,4,6,9,10,11,14],[2,4,7,8,9,11,13],[2,5,6,8,10,12,13],[2,5,6,9,10,12,14],[2,6,7,8,11,13,14],[3,4,5,6,7,13,14],[3,4,5,8,9,13,14],[3,4,6,7,10,11,12],[3,4,10,11,12,13,14],[3,5,6,7,8,9,10],[3,5,8,9,11,12,14]]; G[2271]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2272: autom. group order 2, simple, residual B[2272]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,8,9,12],[1,4,6,8,10,11,13],[1,4,7,8,12,13,14],[1,5,7,8,10,11,12],[1,5,7,9,11,13,14],[1,6,7,9,10,11,14],[2,3,7,8,10,11,13],[2,4,5,7,8,9,11],[2,4,6,9,11,13,14],[2,4,7,9,10,12,13],[2,5,6,8,12,13,14],[2,5,6,9,10,11,12],[2,6,7,8,10,12,14],[3,4,5,6,7,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,13],[3,4,8,9,11,12,14],[3,5,6,7,8,9,13],[3,5,8,9,10,13,14]]; G[2272]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2273: autom. group order 2, simple, residual B[2273]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,8,9,11],[1,4,6,8,10,12,13],[1,4,7,8,11,13,14],[1,5,7,8,12,13,14],[1,5,7,9,10,11,12],[1,6,7,9,10,11,14],[2,3,7,8,10,11,13],[2,4,5,7,8,9,12],[2,4,6,9,12,13,14],[2,4,7,9,10,11,13],[2,5,6,8,10,11,12],[2,5,6,9,11,13,14],[2,6,7,8,10,12,14],[3,4,5,6,7,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,13],[3,4,8,9,11,12,14],[3,5,6,7,8,9,13],[3,5,8,9,10,13,14]]; G[2273]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2274: autom. group order 2, simple, residual B[2274]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,8,9,11],[1,4,6,8,10,12,13],[1,4,7,8,12,13,14],[1,5,7,8,11,13,14],[1,5,7,9,10,11,12],[1,6,7,9,10,11,14],[2,3,7,8,10,11,13],[2,4,5,7,8,9,12],[2,4,6,9,11,13,14],[2,4,7,9,10,11,13],[2,5,6,8,10,11,12],[2,5,6,9,12,13,14],[2,6,7,8,10,12,14],[3,4,5,6,7,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,13],[3,4,8,9,11,12,14],[3,5,6,7,8,9,13],[3,5,8,9,10,13,14]]; G[2274]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2275: autom. group order 2, simple, residual B[2275]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,8,9,12],[1,4,6,8,11,13,14],[1,4,7,8,10,12,13],[1,5,7,8,10,11,12],[1,5,7,9,11,13,14],[1,6,7,9,10,11,14],[2,3,7,8,10,11,13],[2,4,5,7,8,9,11],[2,4,6,9,10,11,13],[2,4,7,9,12,13,14],[2,5,6,8,12,13,14],[2,5,6,9,10,11,12],[2,6,7,8,10,12,14],[3,4,5,6,7,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,13],[3,4,8,9,11,12,14],[3,5,6,7,8,9,13],[3,5,8,9,10,13,14]]; G[2275]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2276: autom. group order 2, simple, residual B[2276]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,8,9,11],[1,4,6,8,12,13,14],[1,4,7,8,10,11,13],[1,5,7,8,12,13,14],[1,5,7,9,10,11,12],[1,6,7,9,10,11,14],[2,3,7,8,10,11,13],[2,4,5,7,8,9,12],[2,4,6,9,10,12,13],[2,4,7,9,11,13,14],[2,5,6,8,10,11,12],[2,5,6,9,11,13,14],[2,6,7,8,10,12,14],[3,4,5,6,7,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,13],[3,4,8,9,11,12,14],[3,5,6,7,8,9,13],[3,5,8,9,10,13,14]]; G[2276]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2277: autom. group order 2, simple, residual B[2277]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,6,8,9,11],[1,4,6,8,12,13,14],[1,4,7,8,10,12,13],[1,5,7,8,11,13,14],[1,5,7,9,10,11,12],[1,6,7,9,10,11,14],[2,3,7,8,10,11,13],[2,4,5,7,8,9,12],[2,4,6,9,10,11,13],[2,4,7,9,11,13,14],[2,5,6,8,10,11,12],[2,5,6,9,12,13,14],[2,6,7,8,10,12,14],[3,4,5,6,7,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,13],[3,4,8,9,11,12,14],[3,5,6,7,8,9,13],[3,5,8,9,10,13,14]]; G[2277]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2278: autom. group order 2, simple, residual B[2278]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,6,9,11,12],[1,4,6,8,9,11,13],[1,4,7,9,10,11,14],[1,5,7,8,10,11,13],[1,5,7,8,10,12,14],[1,6,7,9,12,13,14],[2,3,7,9,10,11,13],[2,4,5,7,8,11,12],[2,4,6,8,10,12,14],[2,4,7,8,9,12,13],[2,5,6,9,10,11,14],[2,5,6,9,10,12,13],[2,6,7,8,11,13,14],[3,4,5,6,7,13,14],[3,4,5,8,9,13,14],[3,4,6,7,10,11,12],[3,4,10,11,12,13,14],[3,5,6,7,8,9,10],[3,5,8,9,11,12,14]]; G[2278]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2279: autom. group order 2, simple, residual B[2279]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,6,9,11,12],[1,4,6,8,9,11,13],[1,4,7,9,10,11,14],[1,5,7,8,10,11,14],[1,5,7,8,10,12,13],[1,6,7,9,12,13,14],[2,3,7,9,10,11,13],[2,4,5,7,8,11,12],[2,4,6,8,10,12,14],[2,4,7,8,9,12,13],[2,5,6,9,10,11,13],[2,5,6,9,10,12,14],[2,6,7,8,11,13,14],[3,4,5,6,7,13,14],[3,4,5,8,9,13,14],[3,4,6,7,10,11,12],[3,4,10,11,12,13,14],[3,5,6,7,8,9,10],[3,5,8,9,11,12,14]]; G[2279]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2280: autom. group order 2, simple, residual B[2280]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,6,9,11,12],[1,4,6,8,9,11,13],[1,4,7,8,10,11,14],[1,5,7,8,10,12,13],[1,5,7,9,10,11,14],[1,6,7,9,12,13,14],[2,3,7,9,10,11,13],[2,4,5,7,8,11,12],[2,4,6,9,10,12,14],[2,4,7,8,9,12,13],[2,5,6,8,10,12,14],[2,5,6,9,10,11,13],[2,6,7,8,11,13,14],[3,4,5,6,7,13,14],[3,4,5,8,9,13,14],[3,4,6,7,10,11,12],[3,4,10,11,12,13,14],[3,5,6,7,8,9,10],[3,5,8,9,11,12,14]]; G[2280]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2281: autom. group order 2, simple, residual B[2281]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,6,9,11,12],[1,4,6,8,9,11,13],[1,4,7,8,10,11,14],[1,5,7,8,10,12,14],[1,5,7,9,10,11,13],[1,6,7,9,12,13,14],[2,3,7,9,10,11,13],[2,4,5,7,8,11,12],[2,4,6,9,10,12,14],[2,4,7,8,9,12,13],[2,5,6,8,10,12,13],[2,5,6,9,10,11,14],[2,6,7,8,11,13,14],[3,4,5,6,7,13,14],[3,4,5,8,9,13,14],[3,4,6,7,10,11,12],[3,4,10,11,12,13,14],[3,5,6,7,8,9,10],[3,5,8,9,11,12,14]]; G[2281]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2282: autom. group order 2, simple, residual B[2282]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,6,9,11,12],[1,4,6,8,9,11,13],[1,4,7,8,10,12,14],[1,5,7,8,10,11,13],[1,5,7,9,10,11,14],[1,6,7,9,12,13,14],[2,3,7,9,10,11,13],[2,4,5,7,8,11,12],[2,4,6,9,10,11,14],[2,4,7,8,9,12,13],[2,5,6,8,10,12,14],[2,5,6,9,10,12,13],[2,6,7,8,11,13,14],[3,4,5,6,7,13,14],[3,4,5,8,9,13,14],[3,4,6,7,10,11,12],[3,4,10,11,12,13,14],[3,5,6,7,8,9,10],[3,5,8,9,11,12,14]]; G[2282]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2283: autom. group order 2, simple, residual B[2283]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,6,9,11,12],[1,4,6,8,9,11,13],[1,4,7,8,10,12,14],[1,5,7,8,10,11,14],[1,5,7,9,10,11,13],[1,6,7,9,12,13,14],[2,3,7,9,10,11,13],[2,4,5,7,8,11,12],[2,4,6,9,10,11,14],[2,4,7,8,9,12,13],[2,5,6,8,10,12,13],[2,5,6,9,10,12,14],[2,6,7,8,11,13,14],[3,4,5,6,7,13,14],[3,4,5,8,9,13,14],[3,4,6,7,10,11,12],[3,4,10,11,12,13,14],[3,5,6,7,8,9,10],[3,5,8,9,11,12,14]]; G[2283]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2284: autom. group order 2, simple, residual B[2284]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,6,8,9,12],[1,4,6,9,10,11,13],[1,4,7,9,12,13,14],[1,5,7,8,10,11,12],[1,5,7,8,11,13,14],[1,6,7,9,10,11,14],[2,3,7,9,10,11,13],[2,4,5,7,8,9,11],[2,4,6,8,11,13,14],[2,4,7,8,10,12,13],[2,5,6,9,10,11,12],[2,5,6,9,12,13,14],[2,6,7,8,10,12,14],[3,4,5,6,7,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,13],[3,4,8,9,11,12,14],[3,5,6,7,8,9,13],[3,5,8,9,10,13,14]]; G[2284]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2285: autom. group order 2, simple, residual B[2285]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,6,8,9,12],[1,4,6,9,11,13,14],[1,4,7,9,10,12,13],[1,5,7,8,10,11,12],[1,5,7,8,11,13,14],[1,6,7,9,10,11,14],[2,3,7,9,10,11,13],[2,4,5,7,8,9,11],[2,4,6,8,10,11,13],[2,4,7,8,12,13,14],[2,5,6,9,10,11,12],[2,5,6,9,12,13,14],[2,6,7,8,10,12,14],[3,4,5,6,7,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,13],[3,4,8,9,11,12,14],[3,5,6,7,8,9,13],[3,5,8,9,10,13,14]]; G[2285]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2286: autom. group order 2, simple, residual B[2286]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,6,8,9,12],[1,4,6,9,10,11,13],[1,4,7,8,11,13,14],[1,5,7,8,10,11,12],[1,5,7,9,12,13,14],[1,6,7,9,10,11,14],[2,3,7,9,10,11,13],[2,4,5,7,8,9,11],[2,4,6,9,12,13,14],[2,4,7,8,10,12,13],[2,5,6,8,11,13,14],[2,5,6,9,10,11,12],[2,6,7,8,10,12,14],[3,4,5,6,7,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,13],[3,4,8,9,11,12,14],[3,5,6,7,8,9,13],[3,5,8,9,10,13,14]]; G[2286]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2287: autom. group order 2, simple, residual B[2287]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,6,8,9,11],[1,4,6,9,10,12,13],[1,4,7,8,11,13,14],[1,5,7,8,12,13,14],[1,5,7,9,10,11,12],[1,6,7,9,10,11,14],[2,3,7,9,10,11,13],[2,4,5,7,8,9,12],[2,4,6,9,12,13,14],[2,4,7,8,10,11,13],[2,5,6,8,10,11,12],[2,5,6,9,11,13,14],[2,6,7,8,10,12,14],[3,4,5,6,7,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,13],[3,4,8,9,11,12,14],[3,5,6,7,8,9,13],[3,5,8,9,10,13,14]]; G[2287]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2288: autom. group order 2, simple, residual B[2288]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,6,8,9,11],[1,4,6,9,10,12,13],[1,4,7,8,12,13,14],[1,5,7,8,11,13,14],[1,5,7,9,10,11,12],[1,6,7,9,10,11,14],[2,3,7,9,10,11,13],[2,4,5,7,8,9,12],[2,4,6,9,11,13,14],[2,4,7,8,10,11,13],[2,5,6,8,10,11,12],[2,5,6,9,12,13,14],[2,6,7,8,10,12,14],[3,4,5,6,7,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,13],[3,4,8,9,11,12,14],[3,5,6,7,8,9,13],[3,5,8,9,10,13,14]]; G[2288]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2289: autom. group order 2, simple, residual B[2289]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,6,8,9,12],[1,4,6,9,11,13,14],[1,4,7,8,10,11,13],[1,5,7,8,10,11,12],[1,5,7,9,12,13,14],[1,6,7,9,10,11,14],[2,3,7,9,10,11,13],[2,4,5,7,8,9,11],[2,4,6,9,10,12,13],[2,4,7,8,12,13,14],[2,5,6,8,11,13,14],[2,5,6,9,10,11,12],[2,6,7,8,10,12,14],[3,4,5,6,7,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,13],[3,4,8,9,11,12,14],[3,5,6,7,8,9,13],[3,5,8,9,10,13,14]]; G[2289]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2290: autom. group order 2, simple, residual B[2290]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,6,8,9,11],[1,4,6,9,12,13,14],[1,4,7,8,10,11,13],[1,5,7,8,12,13,14],[1,5,7,9,10,11,12],[1,6,7,9,10,11,14],[2,3,7,9,10,11,13],[2,4,5,7,8,9,12],[2,4,6,9,10,12,13],[2,4,7,8,11,13,14],[2,5,6,8,10,11,12],[2,5,6,9,11,13,14],[2,6,7,8,10,12,14],[3,4,5,6,7,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,13],[3,4,8,9,11,12,14],[3,5,6,7,8,9,13],[3,5,8,9,10,13,14]]; G[2290]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2291: autom. group order 2, simple, residual B[2291]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,6,8,9,11],[1,4,6,9,12,13,14],[1,4,7,8,10,12,13],[1,5,7,8,11,13,14],[1,5,7,9,10,11,12],[1,6,7,9,10,11,14],[2,3,7,9,10,11,13],[2,4,5,7,8,9,12],[2,4,6,9,10,11,13],[2,4,7,8,11,13,14],[2,5,6,8,10,11,12],[2,5,6,9,12,13,14],[2,6,7,8,10,12,14],[3,4,5,6,7,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,13],[3,4,8,9,11,12,14],[3,5,6,7,8,9,13],[3,5,8,9,10,13,14]]; G[2291]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2292: autom. group order 2, simple, residual B[2292]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,9,12,13,14],[1,4,5,6,10,11,14],[1,4,6,10,11,12,13],[1,4,7,8,9,11,13],[1,5,7,8,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,12,14],[2,3,7,10,11,13,14],[2,4,5,7,9,12,13],[2,4,6,8,10,12,14],[2,4,7,9,11,12,14],[2,5,6,8,9,11,14],[2,5,6,9,10,12,13],[2,6,7,8,10,11,13],[3,4,5,6,7,9,10],[3,4,5,11,12,13,14],[3,4,6,7,8,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,11,12],[3,5,8,9,10,13,14]]; G[2292]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2293: autom. group order 2, simple B[2293]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,9,12,13,14],[1,4,5,6,10,11,14],[1,4,6,10,11,12,13],[1,4,7,8,10,12,13],[1,5,7,8,9,11,13],[1,5,7,9,10,11,14],[1,6,7,8,9,12,14],[2,3,7,10,11,13,14],[2,4,5,7,9,12,13],[2,4,6,8,9,11,14],[2,4,7,9,11,12,14],[2,5,6,8,10,12,14],[2,5,6,9,10,12,13],[2,6,7,8,10,11,13],[3,4,5,6,7,9,10],[3,4,5,11,12,13,14],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,13,14],[3,5,8,9,10,11,12]]; G[2293]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2294: autom. group order 2, simple B[2294]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,9,12,13,14],[1,4,5,6,10,11,14],[1,4,6,10,11,12,13],[1,4,7,8,10,12,13],[1,5,7,8,9,11,13],[1,5,7,9,10,11,14],[1,6,7,8,9,12,14],[2,3,7,10,11,13,14],[2,4,5,7,9,12,13],[2,4,6,8,9,11,14],[2,4,7,9,11,12,14],[2,5,6,8,10,12,14],[2,5,6,9,10,12,13],[2,6,7,8,10,11,13],[3,4,5,6,7,13,14],[3,4,5,9,10,11,12],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,9,10],[3,5,8,11,12,13,14]]; G[2294]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2295: autom. group order 2, simple B[2295]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,12,13,14],[1,4,5,6,9,12,14],[1,4,6,9,10,11,13],[1,4,7,8,9,12,13],[1,5,7,8,9,11,14],[1,5,7,10,11,12,13],[1,6,7,8,10,11,14],[2,3,7,9,11,13,14],[2,4,5,7,10,11,13],[2,4,6,8,10,11,14],[2,4,7,9,10,12,14],[2,5,6,8,10,12,13],[2,5,6,9,11,12,14],[2,6,7,8,9,12,13],[3,4,5,6,7,13,14],[3,4,5,9,10,11,12],[3,4,6,7,8,11,12],[3,4,8,11,12,13,14],[3,5,6,7,8,9,10],[3,5,8,9,10,13,14]]; G[2295]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2296: autom. group order 2, simple B[2296]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,11,13,14],[1,4,5,6,9,12,13],[1,4,6,10,11,12,14],[1,4,7,8,9,11,14],[1,5,7,8,10,12,13],[1,5,7,9,10,11,13],[1,6,7,8,9,12,14],[2,3,7,9,12,13,14],[2,4,5,7,10,11,14],[2,4,6,8,10,12,13],[2,4,7,9,11,12,13],[2,5,6,8,9,11,14],[2,5,6,9,10,12,14],[2,6,7,8,10,11,13],[3,4,5,6,7,9,10],[3,4,5,11,12,13,14],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,13,14],[3,5,8,9,10,11,12]]; G[2296]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2297: autom. group order 2, simple B[2297]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,12,13,14],[1,4,5,6,9,11,14],[1,4,6,10,11,12,13],[1,4,7,8,9,12,13],[1,5,7,8,10,11,14],[1,5,7,9,10,11,13],[1,6,7,8,9,12,14],[2,3,7,9,11,13,14],[2,4,5,7,10,12,13],[2,4,6,8,10,11,14],[2,4,7,9,11,12,14],[2,5,6,8,9,12,13],[2,5,6,9,10,12,14],[2,6,7,8,10,11,13],[3,4,5,6,7,11,12],[3,4,5,9,10,13,14],[3,4,6,7,8,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,10],[3,5,8,11,12,13,14]]; G[2297]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2298: autom. group order 2, simple B[2298]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,12,13,14],[1,4,5,6,10,11,14],[1,4,6,9,11,12,13],[1,4,7,8,9,11,14],[1,5,7,8,10,11,13],[1,5,7,9,10,12,13],[1,6,7,8,9,12,14],[2,3,7,9,11,13,14],[2,4,5,7,9,12,13],[2,4,6,8,10,12,13],[2,4,7,10,11,12,14],[2,5,6,8,9,12,14],[2,5,6,9,10,11,14],[2,6,7,8,10,11,13],[3,4,5,6,7,9,10],[3,4,5,11,12,13,14],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,13,14],[3,5,8,9,10,11,12]]; G[2298]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2299: autom. group order 2, simple B[2299]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,12,13,14],[1,4,5,6,10,11,14],[1,4,6,9,11,12,13],[1,4,7,8,9,11,14],[1,5,7,8,10,11,13],[1,5,7,9,10,12,13],[1,6,7,8,9,12,14],[2,3,7,9,11,13,14],[2,4,5,7,9,12,13],[2,4,6,8,10,12,13],[2,4,7,10,11,12,14],[2,5,6,8,9,12,14],[2,5,6,9,10,11,14],[2,6,7,8,10,11,13],[3,4,5,6,7,13,14],[3,4,5,9,10,11,12],[3,4,6,7,8,9,10],[3,4,8,11,12,13,14],[3,5,6,7,8,11,12],[3,5,8,9,10,13,14]]; G[2299]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2300: autom. group order 2, simple B[2300]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,9,12,13,14],[1,4,5,6,10,11,14],[1,4,6,8,10,12,13],[1,4,7,9,10,12,14],[1,5,7,8,10,11,13],[1,5,7,9,11,12,13],[1,6,7,8,9,11,14],[2,3,7,10,11,13,14],[2,4,5,7,9,12,13],[2,4,6,9,10,11,13],[2,4,7,8,9,11,14],[2,5,6,8,9,12,14],[2,5,6,10,11,12,14],[2,6,7,8,10,12,13],[3,4,5,6,7,13,14],[3,4,5,9,10,11,12],[3,4,6,7,8,11,12],[3,4,8,11,12,13,14],[3,5,6,7,8,9,10],[3,5,8,9,10,13,14]]; G[2300]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2301: autom. group order 2, simple B[2301]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,9,12,13,14],[1,4,5,6,10,12,13],[1,4,6,8,10,11,14],[1,4,7,9,10,12,14],[1,5,7,8,10,11,13],[1,5,7,9,11,12,13],[1,6,7,8,9,11,14],[2,3,7,10,11,13,14],[2,4,5,7,9,11,14],[2,4,6,9,10,11,13],[2,4,7,8,9,12,13],[2,5,6,8,9,12,14],[2,5,6,10,11,12,14],[2,6,7,8,10,12,13],[3,4,5,6,7,13,14],[3,4,5,9,10,11,12],[3,4,6,7,8,11,12],[3,4,8,11,12,13,14],[3,5,6,7,8,9,10],[3,5,8,9,10,13,14]]; G[2301]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2302: autom. group order 2, simple B[2302]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,9,12,13,14],[1,4,5,6,10,11,14],[1,4,6,8,10,12,13],[1,4,7,9,11,12,13],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[1,6,7,8,9,11,14],[2,3,7,10,11,13,14],[2,4,5,7,9,12,13],[2,4,6,10,11,12,14],[2,4,7,8,9,11,14],[2,5,6,8,9,12,14],[2,5,6,9,10,11,13],[2,6,7,8,10,12,13],[3,4,5,6,7,9,10],[3,4,5,11,12,13,14],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,13,14],[3,5,8,9,10,11,12]]; G[2302]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2303: autom. group order 2, simple B[2303]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,9,12,13,14],[1,4,5,6,10,12,13],[1,4,6,8,10,11,14],[1,4,7,9,11,12,13],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[1,6,7,8,9,11,14],[2,3,7,10,11,13,14],[2,4,5,7,9,11,14],[2,4,6,10,11,12,14],[2,4,7,8,9,12,13],[2,5,6,8,9,12,14],[2,5,6,9,10,11,13],[2,6,7,8,10,12,13],[3,4,5,6,7,9,10],[3,4,5,11,12,13,14],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,13,14],[3,5,8,9,10,11,12]]; G[2303]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2304: autom. group order 2, simple, residual B[2304]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,9,12,13,14],[1,4,5,6,10,12,13],[1,4,6,8,10,11,14],[1,4,7,9,11,12,13],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[1,6,7,8,9,11,14],[2,3,7,10,11,13,14],[2,4,5,7,9,11,14],[2,4,6,10,11,12,14],[2,4,7,8,9,12,13],[2,5,6,8,9,12,14],[2,5,6,9,10,11,13],[2,6,7,8,10,12,13],[3,4,5,6,7,9,10],[3,4,5,11,12,13,14],[3,4,6,7,8,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,11,12],[3,5,8,9,10,13,14]]; G[2304]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2305: autom. group order 2, simple B[2305]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,9,12,13,14],[1,4,5,6,10,11,14],[1,4,6,8,10,12,13],[1,4,7,9,11,12,13],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[1,6,7,8,9,11,14],[2,3,7,10,11,13,14],[2,4,5,7,9,12,13],[2,4,6,10,11,12,14],[2,4,7,8,9,11,14],[2,5,6,8,9,12,14],[2,5,6,9,10,11,13],[2,6,7,8,10,12,13],[3,4,5,6,7,13,14],[3,4,5,9,10,11,12],[3,4,6,7,8,9,10],[3,4,8,11,12,13,14],[3,5,6,7,8,11,12],[3,5,8,9,10,13,14]]; G[2305]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2306: autom. group order 2, simple, residual B[2306]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,9,12,13,14],[1,4,5,6,10,12,13],[1,4,6,8,10,11,14],[1,4,7,9,11,12,13],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[1,6,7,8,9,11,14],[2,3,7,10,11,13,14],[2,4,5,7,9,11,14],[2,4,6,10,11,12,14],[2,4,7,8,9,12,13],[2,5,6,8,9,12,14],[2,5,6,9,10,11,13],[2,6,7,8,10,12,13],[3,4,5,6,7,11,12],[3,4,5,9,10,13,14],[3,4,6,7,8,9,10],[3,4,8,11,12,13,14],[3,5,6,7,8,13,14],[3,5,8,9,10,11,12]]; G[2306]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2307: autom. group order 2, simple B[2307]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,9,12,13,14],[1,4,5,6,10,12,13],[1,4,6,8,10,11,14],[1,4,7,9,11,12,13],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[1,6,7,8,9,11,14],[2,3,7,10,11,13,14],[2,4,5,7,9,11,14],[2,4,6,10,11,12,14],[2,4,7,8,9,12,13],[2,5,6,8,9,12,14],[2,5,6,9,10,11,13],[2,6,7,8,10,12,13],[3,4,5,6,7,13,14],[3,4,5,9,10,11,12],[3,4,6,7,8,9,10],[3,4,8,11,12,13,14],[3,5,6,7,8,11,12],[3,5,8,9,10,13,14]]; G[2307]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2308: autom. group order 2, simple B[2308]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,9,12,13,14],[1,4,5,6,10,11,14],[1,4,6,8,10,12,13],[1,4,7,9,11,12,13],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[1,6,7,8,9,11,14],[2,3,7,10,11,13,14],[2,4,5,7,9,12,13],[2,4,6,10,11,12,14],[2,4,7,8,9,11,14],[2,5,6,8,9,12,14],[2,5,6,9,10,11,13],[2,6,7,8,10,12,13],[3,4,5,6,7,13,14],[3,4,5,9,10,11,12],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,9,10],[3,5,8,11,12,13,14]]; G[2308]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2309: autom. group order 2, simple B[2309]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,9,12,13,14],[1,4,5,6,10,12,13],[1,4,6,8,10,11,14],[1,4,7,9,11,12,13],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[1,6,7,8,9,11,14],[2,3,7,10,11,13,14],[2,4,5,7,9,11,14],[2,4,6,10,11,12,14],[2,4,7,8,9,12,13],[2,5,6,8,9,12,14],[2,5,6,9,10,11,13],[2,6,7,8,10,12,13],[3,4,5,6,7,11,12],[3,4,5,9,10,13,14],[3,4,6,7,8,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,10],[3,5,8,11,12,13,14]]; G[2309]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2310: autom. group order 2, simple B[2310]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,9,12,13,14],[1,4,5,6,10,12,13],[1,4,6,8,10,11,14],[1,4,7,9,11,12,13],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[1,6,7,8,9,11,14],[2,3,7,10,11,13,14],[2,4,5,7,9,11,14],[2,4,6,10,11,12,14],[2,4,7,8,9,12,13],[2,5,6,8,9,12,14],[2,5,6,9,10,11,13],[2,6,7,8,10,12,13],[3,4,5,6,7,13,14],[3,4,5,9,10,11,12],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,9,10],[3,5,8,11,12,13,14]]; G[2310]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2311: autom. group order 2, simple B[2311]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,9,12,13,14],[1,4,5,6,10,11,13],[1,4,6,8,10,12,14],[1,4,7,10,11,12,13],[1,5,7,8,9,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,11,14],[2,3,7,10,11,13,14],[2,4,5,7,9,12,14],[2,4,6,9,11,12,14],[2,4,7,8,9,11,13],[2,5,6,8,10,11,14],[2,5,6,9,10,12,13],[2,6,7,8,10,12,13],[3,4,5,6,7,11,12],[3,4,5,9,10,13,14],[3,4,6,7,8,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,10],[3,5,8,11,12,13,14]]; G[2311]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2312: autom. group order 2, simple B[2312]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,9,12,13,14],[1,4,5,6,10,11,13],[1,4,6,8,10,12,14],[1,4,7,10,11,12,13],[1,5,7,8,9,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,11,14],[2,3,7,10,11,13,14],[2,4,5,7,9,12,14],[2,4,6,9,11,12,14],[2,4,7,8,9,11,13],[2,5,6,8,10,11,14],[2,5,6,9,10,12,13],[2,6,7,8,10,12,13],[3,4,5,6,7,13,14],[3,4,5,9,10,11,12],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,9,10],[3,5,8,11,12,13,14]]; G[2312]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2313: autom. group order 2, simple B[2313]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,9,12,13,14],[1,4,5,6,10,12,14],[1,4,6,8,10,11,13],[1,4,7,10,11,12,13],[1,5,7,8,9,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,11,14],[2,3,7,10,11,13,14],[2,4,5,7,9,11,13],[2,4,6,9,11,12,14],[2,4,7,8,9,12,14],[2,5,6,8,10,11,14],[2,5,6,9,10,12,13],[2,6,7,8,10,12,13],[3,4,5,6,7,13,14],[3,4,5,9,10,11,12],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,9,10],[3,5,8,11,12,13,14]]; G[2313]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2314: autom. group order 2, simple B[2314]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,11,13,14],[1,4,5,6,9,12,13],[1,4,6,8,10,12,14],[1,4,7,9,11,12,14],[1,5,7,8,10,11,13],[1,5,7,9,10,12,13],[1,6,7,8,9,11,14],[2,3,7,9,12,13,14],[2,4,5,7,10,11,14],[2,4,6,10,11,12,13],[2,4,7,8,9,11,13],[2,5,6,8,9,12,14],[2,5,6,9,10,11,14],[2,6,7,8,10,12,13],[3,4,5,6,7,9,10],[3,4,5,11,12,13,14],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,13,14],[3,5,8,9,10,11,12]]; G[2314]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2315: autom. group order 2, simple, residual B[2315]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,11,13,14],[1,4,5,6,9,12,13],[1,4,6,8,10,12,14],[1,4,7,9,11,12,14],[1,5,7,8,10,11,13],[1,5,7,9,10,12,13],[1,6,7,8,9,11,14],[2,3,7,9,12,13,14],[2,4,5,7,10,11,14],[2,4,6,10,11,12,13],[2,4,7,8,9,11,13],[2,5,6,8,9,12,14],[2,5,6,9,10,11,14],[2,6,7,8,10,12,13],[3,4,5,6,7,9,10],[3,4,5,11,12,13,14],[3,4,6,7,8,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,11,12],[3,5,8,9,10,13,14]]; G[2315]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2316: autom. group order 2, simple, residual B[2316]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,11,13,14],[1,4,5,6,9,12,14],[1,4,6,8,10,12,13],[1,4,7,10,11,12,14],[1,5,7,8,9,12,13],[1,5,7,9,10,11,13],[1,6,7,8,9,11,14],[2,3,7,9,12,13,14],[2,4,5,7,10,11,13],[2,4,6,9,11,12,13],[2,4,7,8,9,11,14],[2,5,6,8,10,11,14],[2,5,6,9,10,12,14],[2,6,7,8,10,12,13],[3,4,5,6,7,11,12],[3,4,5,9,10,13,14],[3,4,6,7,8,9,10],[3,4,8,11,12,13,14],[3,5,6,7,8,13,14],[3,5,8,9,10,11,12]]; G[2316]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2317: autom. group order 2, simple B[2317]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,11,13,14],[1,4,5,6,9,12,14],[1,4,6,8,10,12,13],[1,4,7,10,11,12,14],[1,5,7,8,9,12,13],[1,5,7,9,10,11,13],[1,6,7,8,9,11,14],[2,3,7,9,12,13,14],[2,4,5,7,10,11,13],[2,4,6,9,11,12,13],[2,4,7,8,9,11,14],[2,5,6,8,10,11,14],[2,5,6,9,10,12,14],[2,6,7,8,10,12,13],[3,4,5,6,7,13,14],[3,4,5,9,10,11,12],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,9,10],[3,5,8,11,12,13,14]]; G[2317]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2318: autom. group order 2, simple B[2318]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,11,13,14],[1,4,5,6,10,12,13],[1,4,6,8,9,12,14],[1,4,7,9,10,11,13],[1,5,7,8,9,12,13],[1,5,7,10,11,12,14],[1,6,7,8,9,11,14],[2,3,7,9,12,13,14],[2,4,5,7,9,11,14],[2,4,6,9,10,12,14],[2,4,7,8,10,11,13],[2,5,6,8,10,11,14],[2,5,6,9,11,12,13],[2,6,7,8,10,12,13],[3,4,5,6,7,13,14],[3,4,5,9,10,11,12],[3,4,6,7,8,11,12],[3,4,8,11,12,13,14],[3,5,6,7,8,9,10],[3,5,8,9,10,13,14]]; G[2318]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2319: autom. group order 2, simple B[2319]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,11,13,14],[1,4,5,6,10,12,14],[1,4,6,8,9,12,13],[1,4,7,9,11,12,14],[1,5,7,8,10,11,13],[1,5,7,9,10,12,13],[1,6,7,8,9,11,14],[2,3,7,9,12,13,14],[2,4,5,7,9,11,13],[2,4,6,10,11,12,13],[2,4,7,8,10,11,14],[2,5,6,8,9,12,14],[2,5,6,9,10,11,14],[2,6,7,8,10,12,13],[3,4,5,6,7,13,14],[3,4,5,9,10,11,12],[3,4,6,7,8,9,10],[3,4,8,11,12,13,14],[3,5,6,7,8,11,12],[3,5,8,9,10,13,14]]; G[2319]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2320: autom. group order 2, simple B[2320]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,12,13,14],[1,4,5,6,10,11,13],[1,4,6,8,9,12,14],[1,4,7,9,11,12,13],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[1,6,7,8,9,11,14],[2,3,7,9,11,13,14],[2,4,5,7,9,12,14],[2,4,6,10,11,12,14],[2,4,7,8,10,11,13],[2,5,6,8,9,12,13],[2,5,6,9,10,11,14],[2,6,7,8,10,12,13],[3,4,5,6,7,11,12],[3,4,5,9,10,13,14],[3,4,6,7,8,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,10],[3,5,8,11,12,13,14]]; G[2320]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2321: autom. group order 2, simple B[2321]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,11,13,14],[1,4,5,6,10,12,13],[1,4,6,8,9,12,14],[1,4,7,10,11,12,14],[1,5,7,8,9,12,13],[1,5,7,9,10,11,13],[1,6,7,8,9,11,14],[2,3,7,9,12,13,14],[2,4,5,7,9,11,14],[2,4,6,9,11,12,13],[2,4,7,8,10,11,13],[2,5,6,8,10,11,14],[2,5,6,9,10,12,14],[2,6,7,8,10,12,13],[3,4,5,6,7,9,10],[3,4,5,11,12,13,14],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,13,14],[3,5,8,9,10,11,12]]; G[2321]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2322: autom. group order 2, simple B[2322]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,11,13,14],[1,4,5,6,10,12,13],[1,4,6,8,9,12,14],[1,4,7,10,11,12,14],[1,5,7,8,9,12,13],[1,5,7,9,10,11,13],[1,6,7,8,9,11,14],[2,3,7,9,12,13,14],[2,4,5,7,9,11,14],[2,4,6,9,11,12,13],[2,4,7,8,10,11,13],[2,5,6,8,10,11,14],[2,5,6,9,10,12,14],[2,6,7,8,10,12,13],[3,4,5,6,7,11,12],[3,4,5,9,10,13,14],[3,4,6,7,8,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,10],[3,5,8,11,12,13,14]]; G[2322]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2323: autom. group order 2, simple B[2323]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,11,13,14],[1,4,5,6,10,12,13],[1,4,6,8,9,12,14],[1,4,7,10,11,12,14],[1,5,7,8,9,12,13],[1,5,7,9,10,11,13],[1,6,7,8,9,11,14],[2,3,7,9,12,13,14],[2,4,5,7,9,11,14],[2,4,6,9,11,12,13],[2,4,7,8,10,11,13],[2,5,6,8,10,11,14],[2,5,6,9,10,12,14],[2,6,7,8,10,12,13],[3,4,5,6,7,13,14],[3,4,5,9,10,11,12],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,9,10],[3,5,8,11,12,13,14]]; G[2323]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2324: autom. group order 2, simple B[2324]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,11,13,14],[1,4,5,6,10,12,13],[1,4,6,8,9,12,14],[1,4,7,9,11,12,14],[1,5,7,8,9,11,13],[1,5,7,9,10,12,13],[1,6,7,8,10,11,14],[2,3,7,9,12,13,14],[2,4,5,10,11,12,14],[2,4,6,9,11,12,13],[2,4,7,8,10,11,13],[2,5,6,7,8,9,14],[2,5,6,9,10,11,14],[2,6,7,8,10,12,13],[3,4,5,6,7,13,14],[3,4,5,7,9,10,11],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,8,9,10,12],[3,5,8,11,12,13,14]]; G[2324]:=Group([(1,13)(2,14)(4,8)(6,11)(7,12)(9,10)]); # Design 2325: autom. group order 2, simple, residual B[2325]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,7,8,9,12],[1,4,6,7,9,11,13],[1,4,6,11,12,13,14],[1,5,6,7,8,10,14],[1,5,8,10,11,12,14],[1,7,8,9,10,11,13],[2,3,7,8,10,11,13],[2,4,5,6,8,9,11],[2,4,6,8,10,12,13],[2,4,7,8,12,13,14],[2,5,6,9,10,11,12],[2,5,7,9,11,13,14],[2,6,7,9,10,12,14],[3,4,5,7,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,10,11,14],[3,4,8,9,11,12,14],[3,5,6,7,8,12,13],[3,5,6,8,9,13,14]]; G[2325]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 2326: autom. group order 2, simple, residual B[2326]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,7,8,9,12],[1,4,6,7,11,12,13],[1,4,6,9,11,13,14],[1,5,6,7,8,10,14],[1,5,8,10,11,12,14],[1,7,8,9,10,11,13],[2,3,7,8,10,11,13],[2,4,5,6,8,9,11],[2,4,6,8,10,12,13],[2,4,7,8,12,13,14],[2,5,6,9,10,11,12],[2,5,7,9,11,13,14],[2,6,7,9,10,12,14],[3,4,5,7,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,10,11,14],[3,4,8,9,11,12,14],[3,5,6,7,8,9,13],[3,5,6,8,12,13,14]]; G[2326]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 2327: autom. group order 2, simple B[2327]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,7,9,10,14],[1,4,6,7,10,11,12],[1,4,6,11,12,13,14],[1,5,6,7,8,9,13],[1,5,8,9,11,13,14],[1,7,8,9,10,11,12],[2,3,7,9,11,12,14],[2,4,5,6,9,10,11],[2,4,6,8,9,12,14],[2,4,7,8,9,12,13],[2,5,6,8,10,11,14],[2,5,7,10,11,12,13],[2,6,7,8,10,13,14],[3,4,5,7,8,11,14],[3,4,5,8,10,12,13],[3,4,6,7,8,11,13],[3,4,9,10,11,13,14],[3,5,6,7,9,12,14],[3,5,6,9,10,12,13]]; G[2327]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2328: autom. group order 2, simple B[2328]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,7,9,10,14],[1,4,6,7,11,12,14],[1,4,6,10,11,12,13],[1,5,6,7,8,9,13],[1,5,8,9,11,13,14],[1,7,8,9,10,11,12],[2,3,7,9,11,12,14],[2,4,5,6,9,10,11],[2,4,6,8,9,12,14],[2,4,7,8,9,12,13],[2,5,6,8,10,11,14],[2,5,7,10,11,12,13],[2,6,7,8,10,13,14],[3,4,5,7,8,11,14],[3,4,5,8,10,12,13],[3,4,6,7,8,11,13],[3,4,9,10,11,13,14],[3,5,6,7,9,10,12],[3,5,6,9,12,13,14]]; G[2328]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2329: autom. group order 2, simple, residual B[2329]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,14],[1,4,5,7,9,12,14],[1,4,6,7,10,11,12],[1,4,6,10,11,13,14],[1,5,6,7,8,9,13],[1,5,8,9,11,13,14],[1,7,8,9,10,11,12],[2,3,7,9,10,11,14],[2,4,5,6,9,11,12],[2,4,6,8,9,12,14],[2,4,7,8,9,10,13],[2,5,6,8,10,11,14],[2,5,7,10,11,12,13],[2,6,7,8,12,13,14],[3,4,5,7,8,11,14],[3,4,5,8,10,12,13],[3,4,6,7,8,11,13],[3,4,9,11,12,13,14],[3,5,6,7,9,10,14],[3,5,6,9,10,12,13]]; G[2329]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2330: autom. group order 2, simple, residual B[2330]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,14],[1,4,5,7,9,12,14],[1,4,6,7,10,11,14],[1,4,6,10,11,12,13],[1,5,6,7,8,9,13],[1,5,8,9,11,13,14],[1,7,8,9,10,11,12],[2,3,7,9,10,11,14],[2,4,5,6,9,11,12],[2,4,6,8,9,12,14],[2,4,7,8,9,10,13],[2,5,6,8,10,11,14],[2,5,7,10,11,12,13],[2,6,7,8,12,13,14],[3,4,5,7,8,11,14],[3,4,5,8,10,12,13],[3,4,6,7,8,11,13],[3,4,9,11,12,13,14],[3,5,6,7,9,10,12],[3,5,6,9,10,13,14]]; G[2330]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2331: autom. group order 2, simple, residual B[2331]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,7,8,9,14],[1,4,6,7,10,11,12],[1,4,6,11,12,13,14],[1,5,6,7,8,9,13],[1,5,9,10,11,13,14],[1,7,8,9,10,11,12],[2,3,7,9,11,12,14],[2,4,5,6,9,10,11],[2,4,6,8,9,12,14],[2,4,7,9,10,12,13],[2,5,6,8,10,11,14],[2,5,7,8,11,12,13],[2,6,7,8,10,13,14],[3,4,5,7,10,11,14],[3,4,5,8,10,12,13],[3,4,6,7,8,11,13],[3,4,8,9,11,13,14],[3,5,6,7,9,12,14],[3,5,6,9,10,12,13]]; G[2331]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2332: autom. group order 2, simple, residual B[2332]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,7,8,9,14],[1,4,6,7,11,12,14],[1,4,6,10,11,12,13],[1,5,6,7,8,9,13],[1,5,9,10,11,13,14],[1,7,8,9,10,11,12],[2,3,7,9,11,12,14],[2,4,5,6,9,10,11],[2,4,6,8,9,12,14],[2,4,7,9,10,12,13],[2,5,6,8,10,11,14],[2,5,7,8,11,12,13],[2,6,7,8,10,13,14],[3,4,5,7,10,11,14],[3,4,5,8,10,12,13],[3,4,6,7,8,11,13],[3,4,8,9,11,13,14],[3,5,6,7,9,10,12],[3,5,6,9,12,13,14]]; G[2332]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2333: autom. group order 2, simple B[2333]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,14],[1,4,5,7,8,9,14],[1,4,6,7,10,11,12],[1,4,6,10,11,13,14],[1,5,6,7,8,9,13],[1,5,9,11,12,13,14],[1,7,8,9,10,11,12],[2,3,7,9,10,11,14],[2,4,5,6,9,11,12],[2,4,6,8,9,12,14],[2,4,7,9,10,12,13],[2,5,6,8,10,11,14],[2,5,7,8,10,11,13],[2,6,7,8,12,13,14],[3,4,5,7,11,12,14],[3,4,5,8,10,12,13],[3,4,6,7,8,11,13],[3,4,8,9,11,13,14],[3,5,6,7,9,10,14],[3,5,6,9,10,12,13]]; G[2333]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2334: autom. group order 2, simple B[2334]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,14],[1,4,5,7,8,9,14],[1,4,6,7,10,11,14],[1,4,6,10,11,12,13],[1,5,6,7,8,9,13],[1,5,9,11,12,13,14],[1,7,8,9,10,11,12],[2,3,7,9,10,11,14],[2,4,5,6,9,11,12],[2,4,6,8,9,12,14],[2,4,7,9,10,12,13],[2,5,6,8,10,11,14],[2,5,7,8,10,11,13],[2,6,7,8,12,13,14],[3,4,5,7,11,12,14],[3,4,5,8,10,12,13],[3,4,6,7,8,11,13],[3,4,8,9,11,13,14],[3,5,6,7,9,10,12],[3,5,6,9,10,13,14]]; G[2334]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2335: autom. group order 2, simple B[2335]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,7,9,12,13],[1,4,6,7,9,10,11],[1,4,6,8,12,13,14],[1,5,6,8,9,12,14],[1,5,7,8,10,11,12],[1,7,8,10,11,13,14],[2,3,7,8,10,12,13],[2,4,5,6,8,11,13],[2,4,6,7,8,10,12],[2,4,7,9,11,13,14],[2,5,6,9,10,11,12],[2,5,7,8,9,11,14],[2,6,9,10,12,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2335]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2336: autom. group order 2, simple B[2336]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,7,9,11,13],[1,4,6,7,8,10,12],[1,4,6,9,12,13,14],[1,5,6,8,10,11,12],[1,5,7,8,9,12,14],[1,7,8,10,11,13,14],[2,3,7,8,10,12,13],[2,4,5,6,8,12,13],[2,4,6,7,9,10,11],[2,4,7,8,11,13,14],[2,5,6,8,9,11,14],[2,5,7,9,10,11,12],[2,6,9,10,12,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2336]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2337: autom. group order 2, simple, residual B[2337]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,7,9,10,11],[1,4,6,7,8,12,13],[1,4,6,8,11,12,14],[1,5,6,9,10,11,14],[1,5,7,8,9,12,13],[1,7,8,10,11,13,14],[2,3,7,8,10,11,13],[2,4,5,6,8,10,12],[2,4,6,7,9,11,13],[2,4,7,9,11,12,14],[2,5,6,8,9,11,13],[2,5,7,8,10,12,14],[2,6,9,10,12,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2337]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2338: autom. group order 2, simple B[2338]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,7,9,12,13],[1,4,6,7,8,10,12],[1,4,6,8,12,13,14],[1,5,6,9,10,11,12],[1,5,7,8,9,11,14],[1,7,8,10,11,13,14],[2,3,7,8,10,12,13],[2,4,5,6,8,11,13],[2,4,6,7,9,10,11],[2,4,7,9,11,13,14],[2,5,6,8,9,12,14],[2,5,7,8,10,11,12],[2,6,9,10,12,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2338]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2339: autom. group order 2, simple B[2339]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,7,9,11,13],[1,4,6,7,8,10,12],[1,4,6,8,11,13,14],[1,5,6,9,10,11,12],[1,5,7,8,9,11,14],[1,7,8,10,12,13,14],[2,3,7,8,10,11,13],[2,4,5,6,8,12,13],[2,4,6,7,9,10,11],[2,4,7,9,12,13,14],[2,5,6,8,9,12,14],[2,5,7,8,10,11,12],[2,6,9,10,11,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2339]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2340: autom. group order 2, simple B[2340]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,7,8,11,13],[1,4,6,7,9,10,11],[1,4,6,8,12,13,14],[1,5,6,8,9,11,14],[1,5,7,9,10,11,12],[1,7,8,10,12,13,14],[2,3,7,8,10,11,13],[2,4,5,6,9,12,13],[2,4,6,7,8,10,12],[2,4,7,9,11,13,14],[2,5,6,8,10,11,12],[2,5,7,8,9,12,14],[2,6,9,10,11,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2340]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2341: autom. group order 2, simple B[2341]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,7,8,12,13],[1,4,6,7,9,10,11],[1,4,6,8,12,13,14],[1,5,6,8,9,11,14],[1,5,7,9,10,11,12],[1,7,8,10,11,13,14],[2,3,7,8,10,11,13],[2,4,5,6,9,11,13],[2,4,6,7,8,10,12],[2,4,7,9,11,13,14],[2,5,6,8,10,11,12],[2,5,7,8,9,12,14],[2,6,9,10,12,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2341]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2342: autom. group order 2, simple B[2342]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,7,8,11,13],[1,4,6,7,9,10,11],[1,4,6,8,12,13,14],[1,5,6,8,9,12,14],[1,5,7,8,10,11,12],[1,7,9,10,12,13,14],[2,3,7,8,10,12,13],[2,4,5,6,9,12,13],[2,4,6,7,8,10,12],[2,4,7,9,11,13,14],[2,5,6,9,10,11,12],[2,5,7,8,9,11,14],[2,6,8,10,11,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2342]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2343: autom. group order 2, simple B[2343]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,7,8,11,13],[1,4,6,7,8,10,12],[1,4,6,9,12,13,14],[1,5,6,8,10,11,12],[1,5,7,8,9,12,14],[1,7,9,10,11,13,14],[2,3,7,8,10,12,13],[2,4,5,6,9,12,13],[2,4,6,7,9,10,11],[2,4,7,8,11,13,14],[2,5,6,8,9,11,14],[2,5,7,9,10,11,12],[2,6,8,10,12,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2343]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2344: autom. group order 2, simple, residual B[2344]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,7,8,10,11],[1,4,6,7,8,12,13],[1,4,6,8,11,12,14],[1,5,6,9,10,11,14],[1,5,7,8,9,12,13],[1,7,9,10,11,13,14],[2,3,7,8,10,11,13],[2,4,5,6,9,10,12],[2,4,6,7,9,11,13],[2,4,7,9,11,12,14],[2,5,6,8,9,11,13],[2,5,7,8,10,12,14],[2,6,8,10,12,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2344]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2345: autom. group order 2, simple B[2345]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,7,8,11,13],[1,4,6,7,8,10,12],[1,4,6,8,12,13,14],[1,5,6,9,10,11,12],[1,5,7,8,9,11,14],[1,7,9,10,12,13,14],[2,3,7,8,10,12,13],[2,4,5,6,9,12,13],[2,4,6,7,9,10,11],[2,4,7,9,11,13,14],[2,5,6,8,9,12,14],[2,5,7,8,10,11,12],[2,6,8,10,11,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2345]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2346: autom. group order 2, simple B[2346]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,7,8,12,13],[1,4,6,7,8,10,12],[1,4,6,8,11,13,14],[1,5,6,9,10,11,12],[1,5,7,8,9,11,14],[1,7,9,10,11,13,14],[2,3,7,8,10,11,13],[2,4,5,6,9,11,13],[2,4,6,7,9,10,11],[2,4,7,9,12,13,14],[2,5,6,8,9,12,14],[2,5,7,8,10,11,12],[2,6,8,10,12,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2346]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2347: autom. group order 2, simple, residual B[2347]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,7,9,10,12],[1,4,6,7,8,12,13],[1,4,6,9,11,12,14],[1,5,6,9,10,11,14],[1,5,7,8,9,11,13],[1,7,8,10,11,13,14],[2,3,7,9,10,11,13],[2,4,5,6,8,10,11],[2,4,6,7,9,11,13],[2,4,7,8,11,12,14],[2,5,6,8,9,12,13],[2,5,7,8,10,12,14],[2,6,9,10,12,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2347]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2348: autom. group order 2, simple B[2348]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,7,9,12,13],[1,4,6,7,8,10,12],[1,4,6,9,11,13,14],[1,5,6,9,10,11,12],[1,5,7,8,9,11,14],[1,7,8,10,11,13,14],[2,3,7,9,10,11,13],[2,4,5,6,8,11,13],[2,4,6,7,9,10,11],[2,4,7,8,12,13,14],[2,5,6,8,9,12,14],[2,5,7,8,10,11,12],[2,6,9,10,12,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2348]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2349: autom. group order 2, simple, residual B[2349]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,7,8,10,11],[1,4,6,7,9,12,13],[1,4,6,9,11,12,14],[1,5,6,8,9,11,13],[1,5,7,9,10,11,14],[1,7,8,10,12,13,14],[2,3,7,9,10,11,13],[2,4,5,6,9,10,12],[2,4,6,7,8,11,13],[2,4,7,8,11,12,14],[2,5,6,8,10,12,14],[2,5,7,8,9,12,13],[2,6,9,10,11,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2349]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2350: autom. group order 2, simple, residual B[2350]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,7,8,10,12],[1,4,6,7,9,12,13],[1,4,6,9,11,12,14],[1,5,6,8,9,11,13],[1,5,7,9,10,11,14],[1,7,8,10,11,13,14],[2,3,7,9,10,11,13],[2,4,5,6,9,10,11],[2,4,6,7,8,11,13],[2,4,7,8,11,12,14],[2,5,6,8,10,12,14],[2,5,7,8,9,12,13],[2,6,9,10,12,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2350]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2351: autom. group order 2, simple, residual B[2351]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,7,8,10,11],[1,4,6,7,9,12,13],[1,4,6,9,11,12,14],[1,5,6,8,9,11,13],[1,5,7,8,10,12,14],[1,7,9,10,11,13,14],[2,3,7,9,10,11,13],[2,4,5,6,9,10,12],[2,4,6,7,8,11,13],[2,4,7,8,11,12,14],[2,5,6,9,10,11,14],[2,5,7,8,9,12,13],[2,6,8,10,12,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2351]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2352: autom. group order 2, simple, residual B[2352]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,7,8,10,12],[1,4,6,7,9,12,13],[1,4,6,9,11,12,14],[1,5,6,8,9,11,13],[1,5,7,8,10,11,14],[1,7,9,10,11,13,14],[2,3,7,9,10,11,13],[2,4,5,6,9,10,11],[2,4,6,7,8,11,13],[2,4,7,8,11,12,14],[2,5,6,9,10,12,14],[2,5,7,8,9,12,13],[2,6,8,10,12,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2352]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2353: autom. group order 2, simple, residual B[2353]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,7,8,10,11],[1,4,6,7,8,12,13],[1,4,6,9,11,12,14],[1,5,6,9,10,11,14],[1,5,7,8,9,11,13],[1,7,9,10,12,13,14],[2,3,7,9,10,11,13],[2,4,5,6,9,10,12],[2,4,6,7,9,11,13],[2,4,7,8,11,12,14],[2,5,6,8,9,12,13],[2,5,7,8,10,12,14],[2,6,8,10,11,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2353]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2354: autom. group order 2, simple B[2354]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,7,8,11,13],[1,4,6,7,8,10,12],[1,4,6,9,11,13,14],[1,5,6,9,10,11,12],[1,5,7,8,9,11,14],[1,7,9,10,12,13,14],[2,3,7,9,10,11,13],[2,4,5,6,9,12,13],[2,4,6,7,9,10,11],[2,4,7,8,12,13,14],[2,5,6,8,9,12,14],[2,5,7,8,10,11,12],[2,6,8,10,11,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2354]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2355: autom. group order 2, simple, residual B[2355]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,9,12,13,14],[1,4,5,7,10,12,13],[1,4,6,7,9,12,14],[1,4,6,8,10,11,14],[1,5,6,10,11,12,13],[1,5,7,8,9,11,13],[1,7,8,9,10,11,14],[2,3,7,10,11,13,14],[2,4,5,6,9,11,14],[2,4,6,7,10,11,13],[2,4,7,8,9,12,13],[2,5,6,8,10,12,14],[2,5,7,9,11,12,14],[2,6,8,9,10,12,13],[3,4,5,9,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,8,11,12],[3,4,8,11,12,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2355]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2356: autom. group order 2, simple, residual B[2356]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,9,12,13,14],[1,4,5,7,10,11,13],[1,4,6,7,9,11,14],[1,4,6,8,10,12,13],[1,5,6,8,10,11,14],[1,5,7,9,11,12,13],[1,7,8,9,10,12,14],[2,3,7,10,11,13,14],[2,4,5,6,9,12,14],[2,4,6,7,10,12,13],[2,4,7,8,9,11,14],[2,5,6,10,11,12,14],[2,5,7,8,9,12,13],[2,6,8,9,10,11,13],[3,4,5,9,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,8,11,12],[3,4,8,11,12,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2356]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2357: autom. group order 2, simple, residual B[2357]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,12,13,14],[1,4,5,7,9,12,14],[1,4,6,7,9,11,14],[1,4,6,8,9,12,13],[1,5,6,8,10,11,14],[1,5,7,10,11,12,13],[1,7,8,9,10,11,13],[2,3,7,9,11,13,14],[2,4,5,6,10,11,13],[2,4,6,7,10,12,13],[2,4,7,8,10,11,14],[2,5,6,9,11,12,14],[2,5,7,8,9,12,13],[2,6,8,9,10,12,14],[3,4,5,9,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,8,11,12],[3,4,8,11,12,13,14],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[2357]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2358: autom. group order 2, simple, residual B[2358]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,8,9,13,14],[1,4,6,7,9,10,11],[1,4,6,7,11,13,14],[1,5,6,7,8,10,12],[1,5,7,8,9,11,12],[1,8,10,11,12,13,14],[2,3,7,8,10,11,13],[2,4,5,6,8,11,12],[2,4,6,8,9,12,13],[2,4,7,8,10,12,14],[2,5,6,9,10,11,13],[2,5,7,9,10,11,14],[2,6,7,9,12,13,14],[3,4,5,7,10,12,13],[3,4,5,9,11,12,14],[3,4,6,10,11,12,14],[3,4,7,8,9,11,13],[3,5,6,7,8,13,14],[3,5,6,8,9,10,14]]; G[2358]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 2359: autom. group order 2, simple, residual B[2359]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,8,9,13,14],[1,4,6,7,10,11,12],[1,4,6,7,11,13,14],[1,5,6,7,8,9,10],[1,5,7,8,9,11,12],[1,8,10,11,12,13,14],[2,3,7,8,10,11,13],[2,4,5,6,8,11,12],[2,4,6,8,9,12,13],[2,4,7,8,10,12,14],[2,5,6,9,10,11,13],[2,5,7,9,10,11,14],[2,6,7,9,12,13,14],[3,4,5,7,10,12,13],[3,4,5,9,11,12,14],[3,4,6,9,10,11,14],[3,4,7,8,9,11,13],[3,5,6,7,8,13,14],[3,5,6,8,10,12,14]]; G[2359]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 2360: autom. group order 2, simple B[2360]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,9,10,13,14],[1,4,6,7,8,11,13],[1,4,6,7,11,12,14],[1,5,6,7,9,10,12],[1,5,7,8,9,11,14],[1,8,9,10,11,12,13],[2,3,7,9,11,12,14],[2,4,5,6,9,10,11],[2,4,6,8,9,12,14],[2,4,7,8,9,12,13],[2,5,6,8,10,11,14],[2,5,7,10,11,12,13],[2,6,7,8,10,13,14],[3,4,5,7,8,10,12],[3,4,5,8,11,13,14],[3,4,6,10,11,12,13],[3,4,7,9,10,11,14],[3,5,6,7,8,9,13],[3,5,6,9,12,13,14]]; G[2360]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2361: autom. group order 2, simple, residual B[2361]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,14],[1,4,5,9,12,13,14],[1,4,6,7,8,11,13],[1,4,6,7,10,11,12],[1,5,6,7,9,10,14],[1,5,7,8,9,11,14],[1,8,9,10,11,12,13],[2,3,7,9,10,11,14],[2,4,5,6,9,11,12],[2,4,6,8,9,12,14],[2,4,7,8,9,10,13],[2,5,6,8,10,11,14],[2,5,7,10,11,12,13],[2,6,7,8,12,13,14],[3,4,5,7,8,10,12],[3,4,5,8,11,13,14],[3,4,6,10,11,13,14],[3,4,7,9,11,12,14],[3,5,6,7,8,9,13],[3,5,6,9,10,12,13]]; G[2361]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2362: autom. group order 2, simple, residual B[2362]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,14],[1,4,5,9,12,13,14],[1,4,6,7,8,11,13],[1,4,6,7,10,11,14],[1,5,6,7,9,10,12],[1,5,7,8,9,11,14],[1,8,9,10,11,12,13],[2,3,7,9,10,11,14],[2,4,5,6,9,11,12],[2,4,6,8,9,12,14],[2,4,7,8,9,10,13],[2,5,6,8,10,11,14],[2,5,7,10,11,12,13],[2,6,7,8,12,13,14],[3,4,5,7,8,10,12],[3,4,5,8,11,13,14],[3,4,6,10,11,12,13],[3,4,7,9,11,12,14],[3,5,6,7,8,9,13],[3,5,6,9,10,13,14]]; G[2362]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2363: autom. group order 2, simple, residual B[2363]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,8,9,13,14],[1,4,6,7,8,11,13],[1,4,6,7,11,12,14],[1,5,6,7,9,10,12],[1,5,7,9,10,11,14],[1,8,9,10,11,12,13],[2,3,7,9,11,12,14],[2,4,5,6,9,10,11],[2,4,6,8,9,12,14],[2,4,7,9,10,12,13],[2,5,6,8,10,11,14],[2,5,7,8,11,12,13],[2,6,7,8,10,13,14],[3,4,5,7,8,10,12],[3,4,5,10,11,13,14],[3,4,6,10,11,12,13],[3,4,7,8,9,11,14],[3,5,6,7,8,9,13],[3,5,6,9,12,13,14]]; G[2363]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2364: autom. group order 2, simple B[2364]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,14],[1,4,5,8,9,13,14],[1,4,6,7,8,11,13],[1,4,6,7,10,11,12],[1,5,6,7,9,10,14],[1,5,7,9,11,12,14],[1,8,9,10,11,12,13],[2,3,7,9,10,11,14],[2,4,5,6,9,11,12],[2,4,6,8,9,12,14],[2,4,7,9,10,12,13],[2,5,6,8,10,11,14],[2,5,7,8,10,11,13],[2,6,7,8,12,13,14],[3,4,5,7,8,10,12],[3,4,5,11,12,13,14],[3,4,6,10,11,13,14],[3,4,7,8,9,11,14],[3,5,6,7,8,9,13],[3,5,6,9,10,12,13]]; G[2364]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2365: autom. group order 2, simple, residual B[2365]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,7,9,11,13],[1,4,6,8,10,11,12],[1,4,6,9,12,13,14],[1,5,6,7,8,10,12],[1,5,7,8,9,12,14],[1,7,8,10,11,13,14],[2,3,7,8,10,12,13],[2,4,5,6,8,12,13],[2,4,7,8,11,13,14],[2,4,7,9,10,11,12],[2,5,6,7,9,10,11],[2,5,6,8,9,11,14],[2,6,9,10,12,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,8,9,13],[3,4,6,7,11,12,14],[3,5,6,7,10,13,14],[3,5,8,9,11,12,13]]; G[2365]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2366: autom. group order 2, simple, residual B[2366]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,7,9,11,13],[1,4,6,8,11,13,14],[1,4,6,9,10,11,12],[1,5,6,7,8,10,12],[1,5,7,8,9,11,14],[1,7,8,10,12,13,14],[2,3,7,8,10,11,13],[2,4,5,6,8,12,13],[2,4,7,8,10,11,12],[2,4,7,9,12,13,14],[2,5,6,7,9,10,11],[2,5,6,8,9,12,14],[2,6,9,10,11,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,8,9,13],[3,4,6,7,11,12,14],[3,5,6,7,10,13,14],[3,5,8,9,11,12,13]]; G[2366]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2367: autom. group order 2, simple, residual B[2367]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,7,8,11,13],[1,4,6,8,10,11,12],[1,4,6,9,12,13,14],[1,5,6,7,8,10,12],[1,5,7,8,9,12,14],[1,7,9,10,11,13,14],[2,3,7,8,10,12,13],[2,4,5,6,9,12,13],[2,4,7,8,11,13,14],[2,4,7,9,10,11,12],[2,5,6,7,9,10,11],[2,5,6,8,9,11,14],[2,6,8,10,12,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,8,9,13],[3,4,6,7,11,12,14],[3,5,6,7,10,13,14],[3,5,8,9,11,12,13]]; G[2367]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2368: autom. group order 2, simple, residual B[2368]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,7,8,11,13],[1,4,6,8,12,13,14],[1,4,6,9,10,11,12],[1,5,6,7,8,10,12],[1,5,7,8,9,11,14],[1,7,9,10,12,13,14],[2,3,7,8,10,12,13],[2,4,5,6,9,12,13],[2,4,7,8,10,11,12],[2,4,7,9,11,13,14],[2,5,6,7,9,10,11],[2,5,6,8,9,12,14],[2,6,8,10,11,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,8,9,13],[3,4,6,7,11,12,14],[3,5,6,7,10,13,14],[3,5,8,9,11,12,13]]; G[2368]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2369: autom. group order 2, simple, residual B[2369]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,7,8,12,13],[1,4,6,8,11,13,14],[1,4,6,9,10,11,12],[1,5,6,7,8,10,12],[1,5,7,8,9,11,14],[1,7,9,10,11,13,14],[2,3,7,8,10,11,13],[2,4,5,6,9,11,13],[2,4,7,8,10,11,12],[2,4,7,9,12,13,14],[2,5,6,7,9,10,11],[2,5,6,8,9,12,14],[2,6,8,10,12,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,8,9,13],[3,4,6,7,11,12,14],[3,5,6,7,10,13,14],[3,5,8,9,11,12,13]]; G[2369]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2370: autom. group order 2, simple, residual B[2370]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,7,9,12,13],[1,4,6,9,10,11,12],[1,4,6,9,11,13,14],[1,5,6,7,8,10,12],[1,5,7,8,9,11,14],[1,7,8,10,11,13,14],[2,3,7,9,10,11,13],[2,4,5,6,8,11,13],[2,4,7,8,10,11,12],[2,4,7,8,12,13,14],[2,5,6,7,9,10,11],[2,5,6,8,9,12,14],[2,6,9,10,12,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,8,9,13],[3,4,6,7,11,12,14],[3,5,6,7,10,13,14],[3,5,8,9,11,12,13]]; G[2370]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2371: autom. group order 2, simple, residual B[2371]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,7,8,11,13],[1,4,6,9,10,11,12],[1,4,6,9,11,13,14],[1,5,6,7,8,10,12],[1,5,7,8,9,11,14],[1,7,9,10,12,13,14],[2,3,7,9,10,11,13],[2,4,5,6,9,12,13],[2,4,7,8,10,11,12],[2,4,7,8,12,13,14],[2,5,6,7,9,10,11],[2,5,6,8,9,12,14],[2,6,8,10,11,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,8,9,13],[3,4,6,7,11,12,14],[3,5,6,7,10,13,14],[3,5,8,9,11,12,13]]; G[2371]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2372: autom. group order 2, simple B[2372]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,7,8,10,11],[1,4,6,8,9,11,13],[1,4,6,9,11,12,14],[1,5,6,7,9,12,13],[1,5,7,9,10,11,14],[1,7,8,10,12,13,14],[2,3,7,9,10,11,13],[2,4,5,6,9,10,12],[2,4,7,8,9,12,13],[2,4,7,8,11,12,14],[2,5,6,7,8,11,13],[2,5,6,8,10,12,14],[2,6,9,10,11,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,11,12],[3,4,6,7,10,13,14],[3,5,6,7,8,9,14],[3,5,8,9,10,11,12]]; G[2372]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2373: autom. group order 2, simple B[2373]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,7,8,10,12],[1,4,6,8,9,11,13],[1,4,6,9,11,12,14],[1,5,6,7,9,12,13],[1,5,7,9,10,11,14],[1,7,8,10,11,13,14],[2,3,7,9,10,11,13],[2,4,5,6,9,10,11],[2,4,7,8,9,12,13],[2,4,7,8,11,12,14],[2,5,6,7,8,11,13],[2,5,6,8,10,12,14],[2,6,9,10,12,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,11,12],[3,4,6,7,10,13,14],[3,5,6,7,8,9,14],[3,5,8,9,10,11,12]]; G[2373]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2374: autom. group order 2, simple B[2374]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,7,8,10,11],[1,4,6,8,9,11,13],[1,4,6,9,11,12,14],[1,5,6,7,9,12,13],[1,5,7,8,10,12,14],[1,7,9,10,11,13,14],[2,3,7,9,10,11,13],[2,4,5,6,9,10,12],[2,4,7,8,9,12,13],[2,4,7,8,11,12,14],[2,5,6,7,8,11,13],[2,5,6,9,10,11,14],[2,6,8,10,12,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,11,12],[3,4,6,7,10,13,14],[3,5,6,7,8,9,14],[3,5,8,9,10,11,12]]; G[2374]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2375: autom. group order 2, simple B[2375]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,7,8,10,12],[1,4,6,8,9,11,13],[1,4,6,9,11,12,14],[1,5,6,7,9,12,13],[1,5,7,8,10,11,14],[1,7,9,10,11,13,14],[2,3,7,9,10,11,13],[2,4,5,6,9,10,11],[2,4,7,8,9,12,13],[2,4,7,8,11,12,14],[2,5,6,7,8,11,13],[2,5,6,9,10,12,14],[2,6,8,10,12,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,11,12],[3,4,6,7,10,13,14],[3,5,6,7,8,9,14],[3,5,8,9,10,11,12]]; G[2375]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2376: autom. group order 2, simple, residual B[2376]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,10,12,13,14],[1,2,4,5,7,12,14],[1,3,6,7,10,13,14],[1,4,5,8,9,10,13],[1,4,6,7,9,11,14],[1,4,6,8,11,12,13],[1,5,6,9,10,11,12],[1,5,7,8,9,13,14],[1,7,8,10,11,12,14],[2,3,7,8,9,11,14],[2,4,5,10,11,13,14],[2,4,6,7,8,10,12],[2,4,6,8,11,13,14],[2,5,6,7,9,12,13],[2,5,6,8,9,10,14],[2,7,9,10,11,12,13],[3,4,5,7,10,11,13],[3,4,5,9,11,12,14],[3,4,6,9,10,12,14],[3,4,7,8,9,12,13],[3,5,6,7,8,10,11],[3,5,6,8,12,13,14]]; G[2376]:=Group([(2,14)(3,7)(4,13)(5,10)]); # Design 2377: autom. group order 2, simple, residual B[2377]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,7,9,10,12],[1,4,6,7,11,12,14],[1,4,6,8,11,13,14],[1,5,6,7,9,10,11],[1,5,8,9,10,13,14],[1,7,8,9,11,12,13],[2,3,7,9,11,12,14],[2,4,5,8,9,11,14],[2,4,6,7,8,9,13],[2,4,6,9,10,12,14],[2,5,6,8,10,11,12],[2,5,7,10,11,13,14],[2,6,7,8,10,12,13],[3,4,5,6,10,11,13],[3,4,5,7,8,12,13],[3,4,7,8,10,11,14],[3,4,9,10,11,12,13],[3,5,6,7,8,9,14],[3,5,6,9,12,13,14]]; G[2377]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2378: autom. group order 2, simple, residual B[2378]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,7,9,10,12],[1,4,6,7,8,11,14],[1,4,6,11,12,13,14],[1,5,6,7,9,10,11],[1,5,8,9,10,13,14],[1,7,8,9,11,12,13],[2,3,7,9,11,12,14],[2,4,5,8,9,11,14],[2,4,6,7,8,9,13],[2,4,6,9,10,12,14],[2,5,6,8,10,11,12],[2,5,7,10,11,13,14],[2,6,7,8,10,12,13],[3,4,5,6,10,11,13],[3,4,5,7,8,12,13],[3,4,7,8,10,11,14],[3,4,9,10,11,12,13],[3,5,6,7,9,12,14],[3,5,6,8,9,13,14]]; G[2378]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2379: autom. group order 2, simple, residual B[2379]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,14],[1,4,5,7,8,9,14],[1,4,6,7,10,11,12],[1,4,6,8,10,11,13],[1,5,6,7,9,11,14],[1,5,9,10,12,13,14],[1,7,8,9,11,12,13],[2,3,7,9,10,11,14],[2,4,5,9,10,11,12],[2,4,6,7,9,12,13],[2,4,6,8,9,12,14],[2,5,6,8,11,12,14],[2,5,7,8,10,11,13],[2,6,7,8,10,13,14],[3,4,5,6,11,13,14],[3,4,5,7,8,12,13],[3,4,7,10,11,12,14],[3,4,8,9,11,13,14],[3,5,6,7,8,9,10],[3,5,6,9,10,12,13]]; G[2379]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2380: autom. group order 2, simple B[2380]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,7,8,9,12],[1,4,6,7,11,12,14],[1,4,6,8,11,13,14],[1,5,6,7,9,10,11],[1,5,8,9,10,13,14],[1,7,9,10,11,12,13],[2,3,7,9,11,12,14],[2,4,5,9,10,11,14],[2,4,6,7,8,9,13],[2,4,6,9,10,12,14],[2,5,6,8,10,11,12],[2,5,7,8,11,13,14],[2,6,7,8,10,12,13],[3,4,5,6,10,11,13],[3,4,5,7,10,12,13],[3,4,7,8,10,11,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,14],[3,5,6,9,12,13,14]]; G[2380]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2381: autom. group order 2, simple, residual B[2381]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,14],[1,4,5,7,8,9,14],[1,4,6,7,8,10,11],[1,4,6,10,11,12,13],[1,5,6,7,9,11,14],[1,5,9,10,12,13,14],[1,7,8,9,11,12,13],[2,3,7,9,10,11,14],[2,4,5,9,10,11,12],[2,4,6,7,9,12,13],[2,4,6,8,9,12,14],[2,5,6,8,11,12,14],[2,5,7,8,10,11,13],[2,6,7,8,10,13,14],[3,4,5,6,11,13,14],[3,4,5,7,8,12,13],[3,4,7,10,11,12,14],[3,4,8,9,11,13,14],[3,5,6,7,9,10,12],[3,5,6,8,9,10,13]]; G[2381]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2382: autom. group order 2, simple B[2382]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,7,8,9,12],[1,4,6,7,8,11,14],[1,4,6,11,12,13,14],[1,5,6,7,9,10,11],[1,5,8,9,10,13,14],[1,7,9,10,11,12,13],[2,3,7,9,11,12,14],[2,4,5,9,10,11,14],[2,4,6,7,8,9,13],[2,4,6,9,10,12,14],[2,5,6,8,10,11,12],[2,5,7,8,11,13,14],[2,6,7,8,10,12,13],[3,4,5,6,10,11,13],[3,4,5,7,10,12,13],[3,4,7,8,10,11,14],[3,4,8,9,11,12,13],[3,5,6,7,9,12,14],[3,5,6,8,9,13,14]]; G[2382]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2383: autom. group order 2, simple B[2383]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,7,8,9,13],[1,4,6,7,10,11,12],[1,4,6,10,11,13,14],[1,5,6,8,9,11,14],[1,5,7,8,12,13,14],[1,7,8,9,10,11,12],[2,3,7,8,10,11,13],[2,4,5,8,10,11,12],[2,4,6,7,8,12,14],[2,4,6,8,9,12,13],[2,5,6,9,11,12,13],[2,5,7,9,10,11,14],[2,6,7,9,10,13,14],[3,4,5,6,7,9,11],[3,4,5,9,10,12,14],[3,4,7,11,12,13,14],[3,4,8,9,11,13,14],[3,5,6,7,8,10,13],[3,5,6,8,10,12,14]]; G[2383]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 2384: autom. group order 2, simple, residual B[2384]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,7,8,12,13],[1,4,6,7,10,11,12],[1,4,6,10,11,13,14],[1,5,6,8,9,11,14],[1,5,7,8,9,13,14],[1,7,8,9,10,11,12],[2,3,7,8,10,11,13],[2,4,5,8,9,10,11],[2,4,6,7,8,12,14],[2,4,6,8,9,12,13],[2,5,6,9,11,12,13],[2,5,7,10,11,12,14],[2,6,7,9,10,13,14],[3,4,5,6,7,9,11],[3,4,5,9,10,12,14],[3,4,7,9,11,13,14],[3,4,8,11,12,13,14],[3,5,6,7,8,10,13],[3,5,6,8,10,12,14]]; G[2384]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 2385: autom. group order 2, simple, residual B[2385]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,7,9,10,12],[1,4,6,7,11,12,14],[1,4,6,8,11,13,14],[1,5,6,9,10,11,13],[1,5,7,8,9,12,13],[1,7,8,9,10,11,14],[2,3,7,9,11,12,14],[2,4,5,8,9,11,14],[2,4,6,7,8,9,13],[2,4,6,9,10,12,14],[2,5,6,8,10,11,12],[2,5,7,10,11,13,14],[2,6,7,8,10,12,13],[3,4,5,6,7,10,11],[3,4,5,8,10,13,14],[3,4,7,8,11,12,13],[3,4,9,10,11,12,13],[3,5,6,7,8,9,14],[3,5,6,9,12,13,14]]; G[2385]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2386: autom. group order 2, simple, residual B[2386]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,7,9,10,12],[1,4,6,7,8,11,14],[1,4,6,11,12,13,14],[1,5,6,9,10,11,13],[1,5,7,8,9,12,13],[1,7,8,9,10,11,14],[2,3,7,9,11,12,14],[2,4,5,8,9,11,14],[2,4,6,7,8,9,13],[2,4,6,9,10,12,14],[2,5,6,8,10,11,12],[2,5,7,10,11,13,14],[2,6,7,8,10,12,13],[3,4,5,6,7,10,11],[3,4,5,8,10,13,14],[3,4,7,8,11,12,13],[3,4,9,10,11,12,13],[3,5,6,7,9,12,14],[3,5,6,8,9,13,14]]; G[2386]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2387: autom. group order 2, simple B[2387]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,7,8,9,12],[1,4,6,7,11,12,14],[1,4,6,8,11,13,14],[1,5,6,9,10,11,13],[1,5,7,9,10,12,13],[1,7,8,9,10,11,14],[2,3,7,9,11,12,14],[2,4,5,9,10,11,14],[2,4,6,7,8,9,13],[2,4,6,9,10,12,14],[2,5,6,8,10,11,12],[2,5,7,8,11,13,14],[2,6,7,8,10,12,13],[3,4,5,6,7,10,11],[3,4,5,8,10,13,14],[3,4,7,10,11,12,13],[3,4,8,9,11,12,13],[3,5,6,7,8,9,14],[3,5,6,9,12,13,14]]; G[2387]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2388: autom. group order 2, simple B[2388]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,7,8,9,12],[1,4,6,7,8,11,14],[1,4,6,11,12,13,14],[1,5,6,9,10,11,13],[1,5,7,9,10,12,13],[1,7,8,9,10,11,14],[2,3,7,9,11,12,14],[2,4,5,9,10,11,14],[2,4,6,7,8,9,13],[2,4,6,9,10,12,14],[2,5,6,8,10,11,12],[2,5,7,8,11,13,14],[2,6,7,8,10,12,13],[3,4,5,6,7,10,11],[3,4,5,8,10,13,14],[3,4,7,10,11,12,13],[3,4,8,9,11,12,13],[3,5,6,7,9,12,14],[3,5,6,8,9,13,14]]; G[2388]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2389: autom. group order 2, simple, residual B[2389]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,8,11,12,14],[1,4,6,7,8,9,13],[1,4,6,7,10,11,12],[1,5,6,9,10,13,14],[1,5,7,8,9,10,11],[1,7,9,11,12,13,14],[2,3,7,9,10,11,13],[2,4,5,8,9,11,13],[2,4,6,7,11,13,14],[2,4,6,9,10,12,14],[2,5,6,7,8,9,12],[2,5,7,8,10,12,14],[2,6,8,10,11,12,13],[3,4,5,6,9,11,12],[3,4,5,7,10,12,13],[3,4,7,8,10,11,14],[3,4,8,9,12,13,14],[3,5,6,7,8,13,14],[3,5,6,9,10,11,14]]; G[2389]:=Group([(1,13)(3,11)(6,9)(7,8)(10,14)]); # Design 2390: autom. group order 2, simple B[2390]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,8,9,12,13],[1,4,6,7,12,13,14],[1,4,6,9,10,11,14],[1,5,6,7,8,9,11],[1,5,7,8,10,11,14],[1,7,9,10,11,12,13],[2,3,7,9,10,11,13],[2,4,5,9,11,12,14],[2,4,6,7,8,9,13],[2,4,6,7,10,11,12],[2,5,6,8,9,10,12],[2,5,7,8,10,13,14],[2,6,8,11,12,13,14],[3,4,5,6,10,11,13],[3,4,5,7,8,11,12],[3,4,7,8,10,12,14],[3,4,8,9,11,13,14],[3,5,6,7,9,13,14],[3,5,6,9,10,12,14]]; G[2390]:=Group([(2,13)(3,12)(6,9)(7,8)(10,14)]); # Design 2391: autom. group order 2, simple B[2391]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,8,11,12,14],[1,4,6,7,10,11,12],[1,4,6,9,10,13,14],[1,5,6,7,8,9,13],[1,5,7,8,9,10,11],[1,7,9,11,12,13,14],[2,3,7,9,10,11,13],[2,4,5,8,9,11,13],[2,4,6,7,8,9,12],[2,4,6,7,11,13,14],[2,5,6,9,10,12,14],[2,5,7,8,10,12,14],[2,6,8,10,11,12,13],[3,4,5,6,9,11,12],[3,4,5,7,10,12,13],[3,4,7,8,10,11,14],[3,4,8,9,12,13,14],[3,5,6,7,8,13,14],[3,5,6,9,10,11,14]]; G[2391]:=Group([(1,13)(3,11)(6,9)(7,8)(10,14)]); # Design 2392: autom. group order 2, simple, residual B[2392]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,7,8,11,14],[1,4,6,7,9,11,14],[1,4,6,10,11,12,13],[1,5,6,7,8,9,12],[1,5,9,10,12,13,14],[1,7,8,9,10,11,13],[2,3,7,9,11,12,14],[2,4,5,9,10,11,12],[2,4,6,8,9,10,14],[2,4,7,8,9,12,13],[2,5,6,7,10,11,13],[2,5,6,8,10,11,14],[2,6,7,8,12,13,14],[3,4,5,6,9,13,14],[3,4,5,7,8,10,13],[3,4,6,8,11,12,13],[3,4,7,10,11,12,14],[3,5,6,7,9,10,12],[3,5,8,9,11,13,14]]; G[2392]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2393: autom. group order 2, simple, residual B[2393]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,7,8,11,14],[1,4,6,7,9,11,14],[1,4,6,8,11,12,13],[1,5,6,7,9,10,12],[1,5,9,10,12,13,14],[1,7,8,9,10,11,13],[2,3,7,9,11,12,14],[2,4,5,9,10,11,12],[2,4,6,8,9,10,14],[2,4,7,8,9,12,13],[2,5,6,7,10,11,13],[2,5,6,8,10,11,14],[2,6,7,8,12,13,14],[3,4,5,6,9,13,14],[3,4,5,7,8,10,13],[3,4,6,10,11,12,13],[3,4,7,10,11,12,14],[3,5,6,7,8,9,12],[3,5,8,9,11,13,14]]; G[2393]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2394: autom. group order 2, simple, residual B[2394]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,7,9,10,11],[1,4,6,7,8,11,12],[1,4,6,9,11,13,14],[1,5,6,8,10,13,14],[1,5,7,8,9,12,13],[1,7,8,10,11,12,14],[2,3,7,8,10,11,13],[2,4,5,8,11,12,13],[2,4,6,8,9,10,12],[2,4,7,8,9,13,14],[2,5,6,7,9,11,14],[2,5,6,9,10,11,12],[2,6,7,10,12,13,14],[3,4,5,6,8,12,14],[3,4,5,7,10,12,14],[3,4,6,7,10,11,13],[3,4,9,11,12,13,14],[3,5,6,7,8,9,13],[3,5,8,9,10,11,14]]; G[2394]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 2395: autom. group order 2, simple, residual B[2395]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,7,9,10,11],[1,4,6,7,8,11,12],[1,4,6,10,11,13,14],[1,5,6,8,9,13,14],[1,5,7,8,9,12,13],[1,7,8,10,11,12,14],[2,3,7,8,10,11,13],[2,4,5,8,11,12,13],[2,4,6,8,9,10,12],[2,4,7,8,9,13,14],[2,5,6,7,9,11,14],[2,5,6,9,10,11,12],[2,6,7,10,12,13,14],[3,4,5,6,8,12,14],[3,4,5,7,10,12,14],[3,4,6,7,9,11,13],[3,4,9,11,12,13,14],[3,5,6,7,8,10,13],[3,5,8,9,10,11,14]]; G[2395]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 2396: autom. group order 2, simple B[2396]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,7,10,11,12],[1,4,6,7,8,11,12],[1,4,6,9,11,13,14],[1,5,6,8,10,13,14],[1,5,7,8,9,12,13],[1,7,8,9,10,11,14],[2,3,7,8,10,11,13],[2,4,5,8,9,11,13],[2,4,6,8,9,10,12],[2,4,7,8,12,13,14],[2,5,6,7,9,11,14],[2,5,6,9,10,11,12],[2,6,7,10,12,13,14],[3,4,5,6,8,12,14],[3,4,5,7,9,10,14],[3,4,6,7,10,11,13],[3,4,9,11,12,13,14],[3,5,6,7,8,9,13],[3,5,8,10,11,12,14]]; G[2396]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 2397: autom. group order 2, simple B[2397]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,7,10,11,12],[1,4,6,7,8,11,12],[1,4,6,10,11,13,14],[1,5,6,8,9,13,14],[1,5,7,8,9,12,13],[1,7,8,9,10,11,14],[2,3,7,8,10,11,13],[2,4,5,8,9,11,13],[2,4,6,8,9,10,12],[2,4,7,8,12,13,14],[2,5,6,7,9,11,14],[2,5,6,9,10,11,12],[2,6,7,10,12,13,14],[3,4,5,6,8,12,14],[3,4,5,7,9,10,14],[3,4,6,7,9,11,13],[3,4,9,11,12,13,14],[3,5,6,7,8,10,13],[3,5,8,10,11,12,14]]; G[2397]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 2398: autom. group order 2, simple, residual B[2398]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,7,8,11,14],[1,4,6,7,9,11,14],[1,4,6,10,11,12,13],[1,5,6,8,9,12,13],[1,5,7,9,10,12,14],[1,7,8,9,10,11,13],[2,3,7,9,11,12,14],[2,4,5,9,10,11,12],[2,4,6,8,9,10,14],[2,4,7,8,9,12,13],[2,5,6,7,10,11,13],[2,5,6,8,10,11,14],[2,6,7,8,12,13,14],[3,4,5,6,9,13,14],[3,4,5,7,8,10,13],[3,4,6,7,8,11,12],[3,4,10,11,12,13,14],[3,5,6,7,9,10,12],[3,5,8,9,11,13,14]]; G[2398]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2399: autom. group order 2, simple, residual B[2399]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,7,8,11,14],[1,4,6,7,9,11,14],[1,4,6,8,11,12,13],[1,5,6,9,10,12,13],[1,5,7,9,10,12,14],[1,7,8,9,10,11,13],[2,3,7,9,11,12,14],[2,4,5,9,10,11,12],[2,4,6,8,9,10,14],[2,4,7,8,9,12,13],[2,5,6,7,10,11,13],[2,5,6,8,10,11,14],[2,6,7,8,12,13,14],[3,4,5,6,9,13,14],[3,4,5,7,8,10,13],[3,4,6,7,10,11,12],[3,4,10,11,12,13,14],[3,5,6,7,8,9,12],[3,5,8,9,11,13,14]]; G[2399]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2400: autom. group order 2, simple, residual B[2400]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,14],[1,4,5,10,11,12,13],[1,4,6,7,8,11,14],[1,4,6,7,9,11,12],[1,5,6,7,9,10,14],[1,5,7,8,9,10,13],[1,8,9,11,12,13,14],[2,3,7,9,10,11,14],[2,4,5,8,9,11,14],[2,4,6,8,9,10,12],[2,4,7,9,12,13,14],[2,5,6,7,8,11,13],[2,5,6,10,11,12,14],[2,6,7,8,10,12,13],[3,4,5,6,9,12,13],[3,4,5,7,8,12,14],[3,4,6,10,11,13,14],[3,4,7,8,10,11,13],[3,5,6,8,9,13,14],[3,5,7,9,10,11,12]]; G[2400]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2401: autom. group order 2, simple, residual B[2401]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,8,11,13,14],[1,4,6,7,9,11,14],[1,4,6,7,10,11,12],[1,5,6,7,8,9,12],[1,5,7,8,9,10,13],[1,9,10,11,12,13,14],[2,3,7,9,11,12,14],[2,4,5,9,10,11,12],[2,4,6,8,9,10,14],[2,4,7,8,9,12,13],[2,5,6,7,10,11,13],[2,5,6,8,10,11,14],[2,6,7,8,12,13,14],[3,4,5,6,9,13,14],[3,4,5,7,10,12,14],[3,4,6,8,11,12,13],[3,4,7,8,10,11,13],[3,5,6,9,10,12,13],[3,5,7,8,9,11,14]]; G[2401]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2402: autom. group order 2, simple B[2402]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,12,13,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,14],[1,4,5,8,10,11,13],[1,4,6,7,8,11,14],[1,4,6,7,9,11,12],[1,5,6,7,9,10,14],[1,5,7,9,10,12,13],[1,8,9,11,12,13,14],[2,3,7,9,10,11,14],[2,4,5,9,11,12,14],[2,4,6,8,9,10,12],[2,4,7,8,9,13,14],[2,5,6,7,8,11,13],[2,5,6,10,11,12,14],[2,6,7,8,10,12,13],[3,4,5,6,9,12,13],[3,4,5,7,8,12,14],[3,4,6,10,11,13,14],[3,4,7,10,11,12,13],[3,5,6,8,9,13,14],[3,5,7,8,9,10,11]]; G[2402]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2403: autom. group order 2, simple, residual B[2403]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,8,11,13,14],[1,4,6,7,8,11,12],[1,4,6,7,9,11,14],[1,5,6,7,9,10,12],[1,5,7,8,9,10,13],[1,9,10,11,12,13,14],[2,3,7,9,11,12,14],[2,4,5,9,10,11,12],[2,4,6,8,9,10,14],[2,4,7,8,9,12,13],[2,5,6,7,10,11,13],[2,5,6,8,10,11,14],[2,6,7,8,12,13,14],[3,4,5,6,9,13,14],[3,4,5,7,10,12,14],[3,4,6,10,11,12,13],[3,4,7,8,10,11,13],[3,5,6,8,9,12,13],[3,5,7,8,9,11,14]]; G[2403]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2404: autom. group order 2, simple B[2404]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,7,9,11,13],[1,4,6,7,8,10,11],[1,4,6,9,12,13,14],[1,5,7,8,9,12,14],[1,5,7,8,10,11,12],[1,6,8,10,12,13,14],[2,3,7,8,10,12,13],[2,4,5,6,8,12,13],[2,4,6,7,9,10,12],[2,4,7,8,11,13,14],[2,5,6,8,9,11,14],[2,5,6,9,10,11,12],[2,7,9,10,11,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2404]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2405: autom. group order 2, simple, residual B[2405]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,7,9,10,11],[1,4,6,7,8,12,13],[1,4,6,8,11,12,14],[1,5,7,8,9,12,13],[1,5,7,8,10,11,14],[1,6,9,10,11,13,14],[2,3,7,8,10,11,13],[2,4,5,6,8,10,12],[2,4,6,7,9,11,13],[2,4,7,9,11,12,14],[2,5,6,8,9,11,13],[2,5,6,9,10,12,14],[2,7,8,10,12,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2405]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2406: autom. group order 2, simple B[2406]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,7,9,11,13],[1,4,6,7,8,10,11],[1,4,6,8,12,13,14],[1,5,7,8,9,12,14],[1,5,7,8,10,11,12],[1,6,9,10,12,13,14],[2,3,7,8,10,12,13],[2,4,5,6,8,12,13],[2,4,6,7,9,10,12],[2,4,7,9,11,13,14],[2,5,6,8,9,11,14],[2,5,6,9,10,11,12],[2,7,8,10,11,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2406]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2407: autom. group order 2, simple, residual B[2407]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,7,8,10,11],[1,4,6,7,8,12,13],[1,4,6,9,11,12,14],[1,5,7,8,9,11,13],[1,5,7,9,10,12,14],[1,6,9,10,11,13,14],[2,3,7,9,10,11,13],[2,4,5,6,9,10,12],[2,4,6,7,9,11,13],[2,4,7,8,11,12,14],[2,5,6,8,9,12,13],[2,5,6,8,10,11,14],[2,7,8,10,12,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2407]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2408: autom. group order 2, simple, residual B[2408]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,7,12,13,14],[1,4,5,9,10,12,13],[1,4,6,8,10,11,13],[1,4,6,9,11,12,14],[1,5,7,8,9,11,14],[1,5,7,10,11,13,14],[1,6,7,8,9,10,12],[2,3,9,10,11,13,14],[2,4,5,6,10,12,14],[2,4,6,7,8,11,14],[2,4,7,10,11,12,13],[2,5,6,7,9,10,11],[2,5,7,8,9,12,13],[2,6,8,9,12,13,14],[3,4,5,6,7,9,13],[3,4,5,9,11,12,14],[3,4,7,8,9,10,14],[3,4,7,8,11,12,13],[3,5,6,8,10,11,12],[3,5,6,8,10,13,14]]; G[2408]:=Group([(1,2)(5,8)(6,10)(7,9)(11,12)(13,14)]); # Design 2409: autom. group order 2, simple, residual B[2409]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,7,8,9,13],[1,4,6,7,9,10,11],[1,4,6,10,11,12,14],[1,5,7,8,9,11,12],[1,5,8,10,12,13,14],[1,6,7,8,11,13,14],[2,3,7,8,10,11,13],[2,4,5,6,8,11,12],[2,4,6,8,9,12,13],[2,4,7,8,10,12,14],[2,5,6,9,10,11,13],[2,5,7,9,10,11,14],[2,6,7,9,12,13,14],[3,4,5,6,7,13,14],[3,4,5,9,11,12,14],[3,4,7,10,11,12,13],[3,4,8,9,11,13,14],[3,5,6,7,8,10,12],[3,5,6,8,9,10,14]]; G[2409]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 2410: autom. group order 2, simple, residual B[2410]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,7,8,9,12],[1,4,6,7,9,11,13],[1,4,6,11,12,13,14],[1,5,7,8,10,11,12],[1,5,8,9,10,13,14],[1,6,7,8,10,11,14],[2,3,7,8,10,11,13],[2,4,5,6,8,9,11],[2,4,6,8,10,12,13],[2,4,7,8,12,13,14],[2,5,6,9,10,11,12],[2,5,7,9,11,13,14],[2,6,7,9,10,12,14],[3,4,5,6,7,10,14],[3,4,5,10,11,12,14],[3,4,7,9,10,11,13],[3,4,8,9,11,12,14],[3,5,6,7,8,12,13],[3,5,6,8,9,13,14]]; G[2410]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 2411: autom. group order 2, simple, residual B[2411]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,7,8,9,13],[1,4,6,7,10,11,12],[1,4,6,9,10,11,14],[1,5,7,8,9,11,12],[1,5,8,10,12,13,14],[1,6,7,8,11,13,14],[2,3,7,8,10,11,13],[2,4,5,6,8,11,12],[2,4,6,8,9,12,13],[2,4,7,8,10,12,14],[2,5,6,9,10,11,13],[2,5,7,9,10,11,14],[2,6,7,9,12,13,14],[3,4,5,6,7,13,14],[3,4,5,9,11,12,14],[3,4,7,10,11,12,13],[3,4,8,9,11,13,14],[3,5,6,7,8,9,10],[3,5,6,8,10,12,14]]; G[2411]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 2412: autom. group order 2, simple, residual B[2412]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,7,8,9,12],[1,4,6,7,11,12,13],[1,4,6,9,11,13,14],[1,5,7,8,10,11,12],[1,5,8,9,10,13,14],[1,6,7,8,10,11,14],[2,3,7,8,10,11,13],[2,4,5,6,8,9,11],[2,4,6,8,10,12,13],[2,4,7,8,12,13,14],[2,5,6,9,10,11,12],[2,5,7,9,11,13,14],[2,6,7,9,10,12,14],[3,4,5,6,7,10,14],[3,4,5,10,11,12,14],[3,4,7,9,10,11,13],[3,4,8,9,11,12,14],[3,5,6,7,8,9,13],[3,5,6,8,12,13,14]]; G[2412]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 2413: autom. group order 2, simple, residual B[2413]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,7,8,9,14],[1,4,6,7,10,11,12],[1,4,6,11,12,13,14],[1,5,7,9,10,11,14],[1,5,8,9,10,12,13],[1,6,7,8,9,11,13],[2,3,7,9,11,12,14],[2,4,5,6,9,10,11],[2,4,6,8,9,12,14],[2,4,7,9,10,12,13],[2,5,6,8,10,11,14],[2,5,7,8,11,12,13],[2,6,7,8,10,13,14],[3,4,5,6,7,8,13],[3,4,5,10,11,13,14],[3,4,7,8,10,11,12],[3,4,8,9,11,13,14],[3,5,6,7,9,12,14],[3,5,6,9,10,12,13]]; G[2413]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2414: autom. group order 2, simple, residual B[2414]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,7,8,9,14],[1,4,6,7,11,12,14],[1,4,6,10,11,12,13],[1,5,7,9,10,11,14],[1,5,8,9,10,12,13],[1,6,7,8,9,11,13],[2,3,7,9,11,12,14],[2,4,5,6,9,10,11],[2,4,6,8,9,12,14],[2,4,7,9,10,12,13],[2,5,6,8,10,11,14],[2,5,7,8,11,12,13],[2,6,7,8,10,13,14],[3,4,5,6,7,8,13],[3,4,5,10,11,13,14],[3,4,7,8,10,11,12],[3,4,8,9,11,13,14],[3,5,6,7,9,10,12],[3,5,6,9,12,13,14]]; G[2414]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2415: autom. group order 2, simple, residual B[2415]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,8,9,13,14],[1,4,6,7,9,10,11],[1,4,6,7,11,13,14],[1,5,7,8,9,11,12],[1,5,7,8,10,12,13],[1,6,8,10,11,12,14],[2,3,7,8,10,11,13],[2,4,5,6,8,11,12],[2,4,6,8,9,12,13],[2,4,7,8,10,12,14],[2,5,6,9,10,11,13],[2,5,7,9,10,11,14],[2,6,7,9,12,13,14],[3,4,5,6,7,10,12],[3,4,5,9,11,12,14],[3,4,7,8,9,11,13],[3,4,10,11,12,13,14],[3,5,6,7,8,13,14],[3,5,6,8,9,10,14]]; G[2415]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 2416: autom. group order 2, simple, residual B[2416]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,8,9,13,14],[1,4,6,7,10,11,12],[1,4,6,7,11,13,14],[1,5,7,8,9,11,12],[1,5,7,8,10,12,13],[1,6,8,9,10,11,14],[2,3,7,8,10,11,13],[2,4,5,6,8,11,12],[2,4,6,8,9,12,13],[2,4,7,8,10,12,14],[2,5,6,9,10,11,13],[2,5,7,9,10,11,14],[2,6,7,9,12,13,14],[3,4,5,6,7,9,10],[3,4,5,9,11,12,14],[3,4,7,8,9,11,13],[3,4,10,11,12,13,14],[3,5,6,7,8,13,14],[3,5,6,8,10,12,14]]; G[2416]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 2417: autom. group order 2, simple B[2417]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,9,10,13,14],[1,4,6,7,8,11,13],[1,4,6,7,11,12,14],[1,5,7,8,9,10,12],[1,5,7,8,9,11,14],[1,6,9,10,11,12,13],[2,3,7,9,11,12,14],[2,4,5,6,9,10,11],[2,4,6,8,9,12,14],[2,4,7,8,9,12,13],[2,5,6,8,10,11,14],[2,5,7,10,11,12,13],[2,6,7,8,10,13,14],[3,4,5,6,7,10,12],[3,4,5,8,11,13,14],[3,4,7,9,10,11,14],[3,4,8,10,11,12,13],[3,5,6,7,8,9,13],[3,5,6,9,12,13,14]]; G[2417]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2418: autom. group order 2, simple, residual B[2418]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,7,9,11,12],[1,4,6,8,9,11,13],[1,4,6,8,10,12,14],[1,5,7,8,10,11,14],[1,5,7,8,10,12,13],[1,6,7,9,11,13,14],[2,3,7,8,10,11,13],[2,4,5,6,8,11,12],[2,4,7,8,9,12,13],[2,4,7,9,10,11,14],[2,5,6,9,10,11,13],[2,5,6,9,10,12,14],[2,6,7,8,12,13,14],[3,4,5,6,7,13,14],[3,4,5,8,9,13,14],[3,4,6,7,10,11,12],[3,4,10,11,12,13,14],[3,5,6,7,8,9,10],[3,5,8,9,11,12,14]]; G[2418]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2419: autom. group order 2, simple, residual B[2419]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,7,8,9,11],[1,4,6,8,10,12,13],[1,4,6,9,11,13,14],[1,5,7,8,12,13,14],[1,5,7,9,10,11,12],[1,6,7,8,10,11,14],[2,3,7,8,10,11,13],[2,4,5,6,8,9,12],[2,4,7,8,12,13,14],[2,4,7,9,10,11,13],[2,5,6,8,10,11,12],[2,5,6,9,11,13,14],[2,6,7,9,10,12,14],[3,4,5,6,7,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,13],[3,4,8,9,11,12,14],[3,5,6,7,8,9,13],[3,5,8,9,10,13,14]]; G[2419]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2420: autom. group order 2, simple, residual B[2420]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,7,8,9,12],[1,4,6,8,12,13,14],[1,4,6,9,10,11,13],[1,5,7,8,10,11,12],[1,5,7,9,11,13,14],[1,6,7,8,10,11,14],[2,3,7,8,10,11,13],[2,4,5,6,8,9,11],[2,4,7,8,10,12,13],[2,4,7,9,11,13,14],[2,5,6,8,12,13,14],[2,5,6,9,10,11,12],[2,6,7,9,10,12,14],[3,4,5,6,7,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,13],[3,4,8,9,11,12,14],[3,5,6,7,8,9,13],[3,5,8,9,10,13,14]]; G[2420]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2421: autom. group order 2, simple, residual B[2421]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,7,8,11,12],[1,4,6,8,9,12,13],[1,4,6,8,10,11,14],[1,5,7,8,10,12,14],[1,5,7,9,10,11,13],[1,6,7,9,11,13,14],[2,3,7,8,10,11,13],[2,4,5,6,9,11,12],[2,4,7,8,9,11,13],[2,4,7,9,10,12,14],[2,5,6,8,10,12,13],[2,5,6,9,10,11,14],[2,6,7,8,12,13,14],[3,4,5,6,7,13,14],[3,4,5,8,9,13,14],[3,4,6,7,10,11,12],[3,4,10,11,12,13,14],[3,5,6,7,8,9,10],[3,5,8,9,11,12,14]]; G[2421]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2422: autom. group order 2, simple, residual B[2422]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,7,8,11,12],[1,4,6,8,9,12,13],[1,4,6,9,10,11,14],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[1,6,7,9,11,13,14],[2,3,7,9,10,11,13],[2,4,5,6,9,11,12],[2,4,7,8,9,11,13],[2,4,7,8,10,12,14],[2,5,6,8,10,11,14],[2,5,6,9,10,12,13],[2,6,7,8,12,13,14],[3,4,5,6,7,13,14],[3,4,5,8,9,13,14],[3,4,6,7,10,11,12],[3,4,10,11,12,13,14],[3,5,6,7,8,9,10],[3,5,8,9,11,12,14]]; G[2422]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2423: autom. group order 2, simple B[2423]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,12,13,14],[1,4,5,7,9,12,13],[1,4,6,8,9,11,14],[1,4,6,10,11,12,13],[1,5,7,8,10,11,14],[1,5,7,9,10,11,13],[1,6,7,8,9,12,14],[2,3,7,9,11,13,14],[2,4,5,6,10,11,14],[2,4,7,8,10,12,13],[2,4,7,9,11,12,14],[2,5,6,8,9,12,13],[2,5,6,9,10,12,14],[2,6,7,8,10,11,13],[3,4,5,6,7,13,14],[3,4,5,9,10,11,12],[3,4,6,7,8,11,12],[3,4,8,9,10,13,14],[3,5,6,7,8,9,10],[3,5,8,11,12,13,14]]; G[2423]:=Group([(1,2)(6,7)(9,10)(11,12)(13,14)]); # Design 2424: autom. group order 2, simple, residual B[2424]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,10,12,13,14],[1,2,4,5,7,9,14],[1,3,6,7,8,13,14],[1,4,5,10,11,12,13],[1,4,6,7,11,12,13],[1,4,6,8,10,11,14],[1,5,7,9,11,12,14],[1,5,8,9,10,13,14],[1,6,7,8,9,10,12],[2,3,7,10,11,12,14],[2,4,5,6,8,12,14],[2,4,7,8,9,11,13],[2,4,7,8,10,12,13],[2,5,6,7,10,13,14],[2,5,6,9,10,11,13],[2,6,8,9,11,12,14],[3,4,5,6,9,10,12],[3,4,5,8,11,13,14],[3,4,6,9,12,13,14],[3,4,7,9,10,11,14],[3,5,6,7,8,10,11],[3,5,7,8,9,12,13]]; G[2424]:=Group([(1,3)(4,12)(5,10)(6,13)(7,14)(9,11)]); # Design 2425: autom. group order 2, simple B[2425]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,10,12,13,14],[1,2,4,5,7,12,14],[1,3,6,7,10,13,14],[1,4,5,8,9,10,13],[1,4,6,7,8,11,13],[1,4,6,8,11,12,14],[1,5,7,8,9,13,14],[1,5,9,10,11,12,14],[1,6,7,9,10,11,12],[2,3,7,8,9,11,14],[2,4,5,6,9,12,13],[2,4,7,10,11,12,13],[2,4,8,10,11,13,14],[2,5,6,7,8,10,14],[2,5,6,9,11,13,14],[2,6,7,8,9,10,12],[3,4,5,6,10,11,14],[3,4,5,7,9,10,11],[3,4,6,8,9,12,14],[3,4,7,9,12,13,14],[3,5,6,8,10,12,13],[3,5,7,8,11,12,13]]; G[2425]:=Group([(2,3)(4,10)(5,13)(6,12)(7,14)(8,9)]); # Design 2426: autom. group order 2, simple, residual B[2426]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,9,10,11,14],[1,4,6,7,8,11,12],[1,4,6,7,9,11,13],[1,5,7,8,9,12,13],[1,5,7,8,10,12,14],[1,6,8,10,11,13,14],[2,3,7,8,10,11,13],[2,4,5,8,11,12,13],[2,4,6,8,9,10,12],[2,4,7,8,9,13,14],[2,5,6,7,9,11,14],[2,5,6,9,10,11,12],[2,6,7,10,12,13,14],[3,4,5,6,7,10,13],[3,4,5,6,8,12,14],[3,4,7,10,11,12,14],[3,4,9,11,12,13,14],[3,5,6,8,9,13,14],[3,5,7,8,9,10,11]]; G[2426]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 2427: autom. group order 2, simple B[2427]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,10,11,12,14],[1,4,6,7,8,11,12],[1,4,6,7,9,11,13],[1,5,7,8,9,10,14],[1,5,7,8,9,12,13],[1,6,8,10,11,13,14],[2,3,7,8,10,11,13],[2,4,5,8,9,11,13],[2,4,6,8,9,10,12],[2,4,7,8,12,13,14],[2,5,6,7,9,11,14],[2,5,6,9,10,11,12],[2,6,7,10,12,13,14],[3,4,5,6,7,10,13],[3,4,5,6,8,12,14],[3,4,7,9,10,11,14],[3,4,9,11,12,13,14],[3,5,6,8,9,13,14],[3,5,7,8,10,11,12]]; G[2427]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 2428: autom. group order 2, simple, residual B[2428]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,13,14],[1,2,4,5,12,13,14],[1,3,6,8,10,12,14],[1,4,5,8,11,13,14],[1,4,6,7,9,11,14],[1,4,6,7,10,11,12],[1,5,7,8,9,10,13],[1,5,7,9,10,12,14],[1,6,8,9,11,12,13],[2,3,7,9,11,12,14],[2,4,5,9,10,11,12],[2,4,6,8,9,10,14],[2,4,7,8,9,12,13],[2,5,6,7,10,11,13],[2,5,6,8,10,11,14],[2,6,7,8,12,13,14],[3,4,5,6,7,8,12],[3,4,5,6,9,13,14],[3,4,7,8,10,11,13],[3,4,10,11,12,13,14],[3,5,6,9,10,12,13],[3,5,7,8,9,11,14]]; G[2428]:=Group([(1,3)(4,9)(5,11)(7,13)]); # Design 2429: autom. group order 2, simple, residual B[2429]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,7,11,13,14],[1,4,5,9,10,11,14],[1,4,6,8,10,12,14],[1,4,7,10,11,12,13],[1,5,6,9,12,13,14],[1,5,7,8,9,12,13],[1,6,7,8,9,10,11],[2,3,9,10,12,13,14],[2,4,5,6,10,11,13],[2,4,6,7,8,12,13],[2,4,6,9,11,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,11,14],[2,7,8,10,11,13,14],[3,4,5,7,9,10,13],[3,4,5,7,11,12,14],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,8,10,11,12],[3,5,6,8,10,13,14]]; G[2429]:=Group([(1,2)(5,8)(6,10)(7,9)(11,12)(13,14)]); # Design 2430: autom. group order 2, simple B[2430]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,7,9,11,13],[1,4,6,7,8,10,12],[1,4,7,8,12,13,14],[1,5,6,9,10,11,12],[1,5,7,8,9,11,14],[1,6,8,10,11,13,14],[2,3,7,8,10,11,13],[2,4,5,6,8,12,13],[2,4,6,7,9,10,11],[2,4,6,9,11,13,14],[2,5,6,8,9,12,14],[2,5,7,8,10,11,12],[2,7,9,10,12,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2430]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2431: autom. group order 2, simple B[2431]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,7,9,11,13],[1,4,6,7,8,10,12],[1,4,7,8,11,13,14],[1,5,6,8,10,11,12],[1,5,7,8,9,12,14],[1,6,9,10,12,13,14],[2,3,7,8,10,12,13],[2,4,5,6,8,12,13],[2,4,6,7,9,10,11],[2,4,6,9,12,13,14],[2,5,6,8,9,11,14],[2,5,7,9,10,11,12],[2,7,8,10,11,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2431]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2432: autom. group order 2, simple, residual B[2432]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,7,8,10,11],[1,4,6,7,9,11,13],[1,4,7,8,11,12,14],[1,5,6,8,9,12,13],[1,5,7,9,10,12,14],[1,6,8,10,12,13,14],[2,3,7,8,10,12,13],[2,4,5,6,9,10,12],[2,4,6,7,8,12,13],[2,4,6,9,11,12,14],[2,5,6,8,10,11,14],[2,5,7,8,9,11,13],[2,7,9,10,11,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2432]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2433: autom. group order 2, simple, residual B[2433]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,7,8,10,12],[1,4,6,7,9,11,13],[1,4,7,8,11,12,14],[1,5,6,8,9,12,13],[1,5,7,9,10,11,14],[1,6,8,10,11,13,14],[2,3,7,8,10,11,13],[2,4,5,6,9,10,11],[2,4,6,7,8,12,13],[2,4,6,9,11,12,14],[2,5,6,8,10,12,14],[2,5,7,8,9,11,13],[2,7,9,10,12,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2433]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2434: autom. group order 2, simple B[2434]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,7,8,12,13],[1,4,6,7,9,10,11],[1,4,7,8,11,13,14],[1,5,6,8,9,11,14],[1,5,7,9,10,11,12],[1,6,8,10,12,13,14],[2,3,7,8,10,11,13],[2,4,5,6,9,11,13],[2,4,6,7,8,10,12],[2,4,6,9,12,13,14],[2,5,6,8,10,11,12],[2,5,7,8,9,12,14],[2,7,9,10,11,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2434]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2435: autom. group order 2, simple B[2435]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,7,8,11,13],[1,4,6,7,8,10,12],[1,4,7,9,12,13,14],[1,5,6,9,10,11,12],[1,5,7,8,9,11,14],[1,6,8,10,12,13,14],[2,3,7,8,10,12,13],[2,4,5,6,9,12,13],[2,4,6,7,9,10,11],[2,4,6,8,11,13,14],[2,5,6,8,9,12,14],[2,5,7,8,10,11,12],[2,7,9,10,11,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2435]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2436: autom. group order 2, simple B[2436]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,11,13],[1,4,5,7,8,11,13],[1,4,6,7,8,10,12],[1,4,7,9,11,13,14],[1,5,6,8,10,11,12],[1,5,7,8,9,12,14],[1,6,9,10,12,13,14],[2,3,7,8,10,12,13],[2,4,5,6,9,12,13],[2,4,6,7,9,10,11],[2,4,6,8,12,13,14],[2,5,6,8,9,11,14],[2,5,7,9,10,11,12],[2,7,8,10,11,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2436]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2437: autom. group order 2, simple, residual B[2437]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,7,8,10,11],[1,4,6,7,9,11,13],[1,4,7,9,11,12,14],[1,5,6,8,9,11,13],[1,5,7,8,10,12,14],[1,6,9,10,12,13,14],[2,3,7,9,10,11,13],[2,4,5,6,9,10,12],[2,4,6,7,8,12,13],[2,4,6,8,11,12,14],[2,5,6,9,10,11,14],[2,5,7,8,9,12,13],[2,7,8,10,11,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2437]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2438: autom. group order 2, simple, residual B[2438]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,7,8,10,12],[1,4,6,7,9,11,13],[1,4,7,9,11,12,14],[1,5,6,8,9,11,13],[1,5,7,8,10,11,14],[1,6,9,10,12,13,14],[2,3,7,9,10,11,13],[2,4,5,6,9,10,11],[2,4,6,7,8,12,13],[2,4,6,8,11,12,14],[2,5,6,9,10,12,14],[2,5,7,8,9,12,13],[2,7,8,10,11,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2438]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2439: autom. group order 2, simple, residual B[2439]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,7,8,10,11],[1,4,6,7,9,11,13],[1,4,7,8,11,12,14],[1,5,6,8,9,12,13],[1,5,7,9,10,12,14],[1,6,9,10,11,13,14],[2,3,7,9,10,11,13],[2,4,5,6,9,10,12],[2,4,6,7,8,12,13],[2,4,6,9,11,12,14],[2,5,6,8,10,11,14],[2,5,7,8,9,11,13],[2,7,8,10,12,13,14],[3,4,5,8,9,13,14],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12]]; G[2439]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2440: autom. group order 2, simple B[2440]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,7,8,11,13],[1,4,6,7,8,10,12],[1,4,7,9,12,13,14],[1,5,6,9,10,11,12],[1,5,7,8,9,11,14],[1,6,9,10,11,13,14],[2,3,7,9,10,11,13],[2,4,5,6,9,12,13],[2,4,6,7,9,10,11],[2,4,6,8,11,13,14],[2,5,6,8,9,12,14],[2,5,7,8,10,11,12],[2,7,8,10,12,13,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[3,5,6,7,10,13,14]]; G[2440]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2441: autom. group order 2, simple, residual B[2441]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,7,8,9,12],[1,4,6,7,9,11,13],[1,4,9,10,11,13,14],[1,5,6,7,8,10,14],[1,5,8,10,11,12,14],[1,6,7,8,11,12,13],[2,3,7,8,10,11,13],[2,4,5,6,8,9,11],[2,4,6,8,10,12,13],[2,4,7,8,12,13,14],[2,5,6,9,10,11,12],[2,5,7,9,11,13,14],[2,6,7,9,10,12,14],[3,4,5,6,12,13,14],[3,4,5,7,10,11,12],[3,4,6,7,10,11,14],[3,4,8,9,11,12,14],[3,5,6,8,9,13,14],[3,5,7,8,9,10,13]]; G[2441]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 2442: autom. group order 2, simple, residual B[2442]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,7,8,9,12],[1,4,6,7,11,12,13],[1,4,9,10,11,13,14],[1,5,6,7,8,10,14],[1,5,8,10,11,12,14],[1,6,7,8,9,11,13],[2,3,7,8,10,11,13],[2,4,5,6,8,9,11],[2,4,6,8,10,12,13],[2,4,7,8,12,13,14],[2,5,6,9,10,11,12],[2,5,7,9,11,13,14],[2,6,7,9,10,12,14],[3,4,5,6,9,13,14],[3,4,5,7,10,11,12],[3,4,6,7,10,11,14],[3,4,8,9,11,12,14],[3,5,6,8,12,13,14],[3,5,7,8,9,10,13]]; G[2442]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 2443: autom. group order 2, simple, residual B[2443]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,7,8,9,12],[1,4,6,7,9,11,13],[1,4,9,10,11,13,14],[1,5,6,8,12,13,14],[1,5,7,8,10,11,12],[1,6,7,8,10,11,14],[2,3,7,8,10,11,13],[2,4,5,6,8,9,11],[2,4,6,8,10,12,13],[2,4,7,8,12,13,14],[2,5,6,9,10,11,12],[2,5,7,9,11,13,14],[2,6,7,9,10,12,14],[3,4,5,6,7,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,13],[3,4,8,9,11,12,14],[3,5,6,8,9,13,14],[3,5,7,8,9,10,13]]; G[2443]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 2444: autom. group order 2, simple, residual B[2444]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,7,8,9,13],[1,4,6,7,10,11,12],[1,4,10,11,12,13,14],[1,5,6,8,9,10,14],[1,5,7,8,9,11,12],[1,6,7,8,11,13,14],[2,3,7,8,10,11,13],[2,4,5,6,8,11,12],[2,4,6,8,9,12,13],[2,4,7,8,10,12,14],[2,5,6,9,10,11,13],[2,5,7,9,10,11,14],[2,6,7,9,12,13,14],[3,4,5,6,7,13,14],[3,4,5,9,11,12,14],[3,4,6,7,9,10,11],[3,4,8,9,11,13,14],[3,5,6,8,10,12,14],[3,5,7,8,10,12,13]]; G[2444]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 2445: autom. group order 2, simple, residual B[2445]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,7,9,11,12],[1,4,6,7,11,13,14],[1,4,8,9,11,13,14],[1,5,6,8,10,12,14],[1,5,7,8,10,12,13],[1,6,7,8,9,10,11],[2,3,7,8,10,11,13],[2,4,5,6,8,11,12],[2,4,6,8,9,12,13],[2,4,7,8,10,12,14],[2,5,6,9,10,11,13],[2,5,7,9,10,11,14],[2,6,7,9,12,13,14],[3,4,5,6,9,10,14],[3,4,5,7,8,9,13],[3,4,6,7,10,11,12],[3,4,10,11,12,13,14],[3,5,6,7,8,13,14],[3,5,8,9,11,12,14]]; G[2445]:=Group([(1,3)(4,8)(5,11)(7,14)]); # Design 2446: autom. group order 2, simple, residual B[2446]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,7,8,9,11],[1,4,6,9,11,13,14],[1,4,7,8,10,12,13],[1,5,6,8,12,13,14],[1,5,7,9,10,11,12],[1,6,7,8,10,11,14],[2,3,7,8,10,11,13],[2,4,5,6,8,9,12],[2,4,6,9,10,11,13],[2,4,7,8,12,13,14],[2,5,6,8,10,11,12],[2,5,7,9,11,13,14],[2,6,7,9,10,12,14],[3,4,5,6,7,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,13],[3,4,8,9,11,12,14],[3,5,6,7,8,9,13],[3,5,8,9,10,13,14]]; G[2446]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2447: autom. group order 2, simple, residual B[2447]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,7,8,9,12],[1,4,6,8,12,13,14],[1,4,7,9,10,11,13],[1,5,6,9,11,13,14],[1,5,7,8,10,11,12],[1,6,7,8,10,11,14],[2,3,7,8,10,11,13],[2,4,5,6,8,9,11],[2,4,6,8,10,12,13],[2,4,7,9,11,13,14],[2,5,6,9,10,11,12],[2,5,7,8,12,13,14],[2,6,7,9,10,12,14],[3,4,5,6,7,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,13],[3,4,8,9,11,12,14],[3,5,6,7,8,9,13],[3,5,8,9,10,13,14]]; G[2447]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2448: autom. group order 2, simple, residual B[2448]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,7,8,9,11],[1,4,6,8,12,13,14],[1,4,7,8,10,12,13],[1,5,6,9,11,13,14],[1,5,7,9,10,11,12],[1,6,7,8,10,11,14],[2,3,7,8,10,11,13],[2,4,5,6,8,9,12],[2,4,6,9,10,11,13],[2,4,7,9,11,13,14],[2,5,6,8,10,11,12],[2,5,7,8,12,13,14],[2,6,7,9,10,12,14],[3,4,5,6,7,10,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,13],[3,4,8,9,11,12,14],[3,5,6,7,8,9,13],[3,5,8,9,10,13,14]]; G[2448]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2449: autom. group order 2, simple, residual B[2449]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,9,10,12,13],[1,4,5,7,8,11,12],[1,4,6,8,9,12,13],[1,4,7,8,10,12,14],[1,5,6,8,10,11,14],[1,5,7,9,10,11,13],[1,6,7,9,11,13,14],[2,3,7,8,10,11,13],[2,4,5,6,9,11,12],[2,4,6,9,10,11,14],[2,4,7,8,9,11,13],[2,5,6,8,10,12,13],[2,5,7,9,10,12,14],[2,6,7,8,12,13,14],[3,4,5,6,7,13,14],[3,4,5,8,9,13,14],[3,4,6,7,10,11,12],[3,4,10,11,12,13,14],[3,5,6,7,8,9,10],[3,5,8,9,11,12,14]]; G[2449]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2450: autom. group order 2, simple, residual B[2450]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,7,8,11,12],[1,4,6,8,9,12,13],[1,4,7,9,10,12,14],[1,5,6,9,10,11,13],[1,5,7,8,10,11,14],[1,6,7,9,11,13,14],[2,3,7,9,10,11,13],[2,4,5,6,9,11,12],[2,4,6,8,10,11,14],[2,4,7,8,9,11,13],[2,5,6,9,10,12,14],[2,5,7,8,10,12,13],[2,6,7,8,12,13,14],[3,4,5,6,7,13,14],[3,4,5,8,9,13,14],[3,4,6,7,10,11,12],[3,4,10,11,12,13,14],[3,5,6,7,8,9,10],[3,5,8,9,11,12,14]]; G[2450]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2451: autom. group order 2, simple, residual B[2451]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,3,7,9,12,14],[1,2,4,5,10,13,14],[1,3,6,8,10,12,13],[1,4,5,7,8,11,12],[1,4,6,8,9,12,13],[1,4,7,8,10,11,14],[1,5,6,9,10,11,13],[1,5,7,9,10,12,14],[1,6,7,9,11,13,14],[2,3,7,9,10,11,13],[2,4,5,6,9,11,12],[2,4,6,9,10,12,14],[2,4,7,8,9,11,13],[2,5,6,8,10,11,14],[2,5,7,8,10,12,13],[2,6,7,8,12,13,14],[3,4,5,6,7,13,14],[3,4,5,8,9,13,14],[3,4,6,7,10,11,12],[3,4,10,11,12,13,14],[3,5,6,7,8,9,10],[3,5,8,9,11,12,14]]; G[2451]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 2452: autom. group order 2, simple B[2452]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,3,7,10,12,14],[1,2,4,5,8,13,14],[1,3,6,10,12,13,14],[1,4,5,7,9,12,13],[1,4,6,8,9,12,14],[1,4,7,10,11,12,13],[1,5,6,9,10,11,13],[1,5,7,8,10,11,14],[1,6,7,8,9,11,14],[2,3,7,9,11,13,14],[2,4,5,6,10,11,14],[2,4,6,8,11,12,13],[2,4,7,9,11,12,14],[2,5,6,9,10,12,14],[2,5,7,8,9,10,13],[2,6,7,8,10,12,13],[3,4,5,6,7,13,14],[3,4,5,9,10,11,12],[3,4,6,7,8,10,11],[3,4,8,9,10,13,14],[3,5,6,7,8,9,12],[3,5,8,11,12,13,14]]; G[2452]:=Group([(1,14)(2,13)(4,5)(6,7)(9,11)(10,12)]); # Design 2453: autom. group order 2, simple B[2453]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,10,14],[1,3,6,7,8,12,13],[1,3,6,9,12,13,14],[1,4,5,6,11,12,14],[1,4,7,8,9,10,14],[1,4,7,9,11,13,14],[1,5,7,9,10,11,12],[1,5,8,10,11,12,13],[2,3,7,8,9,11,12],[2,3,7,10,11,13,14],[2,4,5,7,9,12,13],[2,4,6,8,11,12,14],[2,4,6,9,10,11,13],[2,5,6,7,10,12,14],[2,5,8,9,12,13,14],[3,4,5,8,11,13,14],[3,4,6,9,10,12,13],[3,4,7,8,10,12,14],[3,5,6,7,9,11,14],[3,5,6,8,9,10,11],[4,5,6,7,8,10,13]]; G[2453]:=Group([(2,11)(3,12)(4,10)(6,13)(7,8)]); # Design 2454: autom. group order 2, simple B[2454]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,10,14],[1,3,6,7,8,12,13],[1,3,6,9,12,13,14],[1,4,5,6,11,12,14],[1,4,7,8,9,10,14],[1,4,7,9,11,13,14],[1,5,7,9,10,11,12],[1,5,8,10,11,12,13],[2,3,7,8,9,11,12],[2,3,7,10,11,13,14],[2,4,5,7,12,13,14],[2,4,6,8,11,12,14],[2,4,6,9,10,11,13],[2,5,6,7,9,10,12],[2,5,8,9,12,13,14],[3,4,5,8,9,11,13],[3,4,6,9,10,12,13],[3,4,7,8,10,12,14],[3,5,6,7,9,11,14],[3,5,6,8,10,11,14],[4,5,6,7,8,10,13]]; G[2454]:=Group([(2,11)(3,12)(4,10)(6,13)(7,8)]); # Design 2455: autom. group order 2, simple B[2455]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,10,14],[1,3,6,7,8,12,13],[1,3,6,9,12,13,14],[1,4,5,6,11,12,14],[1,4,7,8,9,10,14],[1,4,7,9,11,13,14],[1,5,7,9,10,11,12],[1,5,8,10,11,12,13],[2,3,7,8,11,12,14],[2,3,7,9,10,11,13],[2,4,5,7,9,12,13],[2,4,6,8,9,11,12],[2,4,6,10,11,13,14],[2,5,6,7,10,12,14],[2,5,8,9,12,13,14],[3,4,5,8,11,13,14],[3,4,6,9,10,12,13],[3,4,7,8,10,12,14],[3,5,6,7,9,11,14],[3,5,6,8,9,10,11],[4,5,6,7,8,10,13]]; G[2455]:=Group([(2,11)(3,12)(4,10)(6,13)(7,8)]); # Design 2456: autom. group order 2, simple B[2456]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,10,14],[1,3,6,7,8,12,13],[1,3,6,9,12,13,14],[1,4,5,6,11,12,14],[1,4,7,8,9,10,14],[1,4,7,9,11,13,14],[1,5,7,9,10,11,12],[1,5,8,10,11,12,13],[2,3,7,8,11,12,14],[2,3,7,9,10,11,13],[2,4,5,7,12,13,14],[2,4,6,8,9,11,12],[2,4,6,10,11,13,14],[2,5,6,7,9,10,12],[2,5,8,9,12,13,14],[3,4,5,8,9,11,13],[3,4,6,9,10,12,13],[3,4,7,8,10,12,14],[3,5,6,7,9,11,14],[3,5,6,8,10,11,14],[4,5,6,7,8,10,13]]; G[2456]:=Group([(2,11)(3,12)(4,10)(6,13)(7,8)]); # Design 2457: autom. group order 2, simple B[2457]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,13,14],[1,3,6,7,8,12,13],[1,3,6,8,9,10,14],[1,4,5,6,11,12,14],[1,4,7,8,9,10,14],[1,4,7,9,12,13,14],[1,5,7,9,10,11,12],[1,5,8,10,11,12,13],[2,3,7,8,11,12,14],[2,3,7,9,10,12,13],[2,4,5,8,9,12,13],[2,4,6,7,10,12,14],[2,4,6,9,10,11,13],[2,5,6,8,10,12,14],[2,5,7,8,9,11,14],[3,4,5,7,11,13,14],[3,4,6,8,9,11,12],[3,4,8,10,11,13,14],[3,5,6,7,9,10,11],[3,5,6,9,12,13,14],[4,5,6,7,8,10,13]]; G[2457]:=Group([(2,11)(3,12)(4,10)(6,13)(7,8)]); # Design 2458: autom. group order 2, simple B[2458]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,13,14],[1,3,6,7,8,12,13],[1,3,6,8,9,10,14],[1,4,5,6,11,12,14],[1,4,7,8,9,10,14],[1,4,7,9,12,13,14],[1,5,7,9,10,11,12],[1,5,8,10,11,12,13],[2,3,7,8,11,12,14],[2,3,7,9,10,12,13],[2,4,5,8,12,13,14],[2,4,6,7,10,12,14],[2,4,6,9,10,11,13],[2,5,6,8,9,10,12],[2,5,7,8,9,11,14],[3,4,5,7,9,11,13],[3,4,6,8,9,11,12],[3,4,8,10,11,13,14],[3,5,6,7,10,11,14],[3,5,6,9,12,13,14],[4,5,6,7,8,10,13]]; G[2458]:=Group([(2,11)(3,12)(4,10)(6,13)(7,8)]); # Design 2459: autom. group order 2, simple B[2459]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,9,11,13,14],[1,3,6,7,8,12,14],[1,3,6,9,12,13,14],[1,4,5,6,9,11,12],[1,4,7,8,9,10,13],[1,4,7,8,9,11,14],[1,5,7,10,11,12,14],[1,5,8,10,11,12,13],[2,3,7,9,10,11,14],[2,3,8,9,11,12,13],[2,4,5,7,12,13,14],[2,4,6,7,11,12,13],[2,4,6,8,10,11,14],[2,5,6,8,9,10,12],[2,5,7,8,9,12,14],[3,4,5,8,11,13,14],[3,4,6,8,10,12,14],[3,4,7,9,10,12,13],[3,5,6,7,8,11,13],[3,5,6,7,9,10,11],[4,5,6,9,10,13,14]]; G[2459]:=Group([(2,11)(3,12)(4,10)(6,14)(9,13)]); # Design 2460: autom. group order 2, simple B[2460]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,9,11,13,14],[1,3,6,7,8,12,14],[1,3,6,9,12,13,14],[1,4,5,6,9,11,12],[1,4,7,8,9,10,13],[1,4,7,8,9,11,14],[1,5,7,10,11,12,14],[1,5,8,10,11,12,13],[2,3,7,9,11,12,13],[2,3,8,9,10,11,14],[2,4,5,7,12,13,14],[2,4,6,7,10,11,14],[2,4,6,8,11,12,13],[2,5,6,8,9,10,12],[2,5,7,8,9,12,14],[3,4,5,8,11,13,14],[3,4,6,8,10,12,14],[3,4,7,9,10,12,13],[3,5,6,7,8,11,13],[3,5,6,7,9,10,11],[4,5,6,9,10,13,14]]; G[2460]:=Group([(2,11)(3,12)(4,10)(6,14)(9,13)]); # Design 2461: autom. group order 2, simple B[2461]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,13,14],[1,3,6,7,8,10,14],[1,3,6,9,12,13,14],[1,4,5,6,9,11,12],[1,4,7,8,9,10,14],[1,4,7,8,9,12,13],[1,5,7,10,11,12,13],[1,5,8,10,11,12,14],[2,3,7,9,11,12,14],[2,3,8,9,10,12,13],[2,4,5,7,12,13,14],[2,4,6,7,10,12,14],[2,4,6,8,10,11,13],[2,5,6,8,9,10,12],[2,5,7,8,9,11,14],[3,4,5,8,11,13,14],[3,4,6,8,11,12,14],[3,4,7,9,10,11,13],[3,5,6,7,8,12,13],[3,5,6,7,9,10,11],[4,5,6,9,10,13,14]]; G[2461]:=Group([(2,11)(3,12)(4,10)(6,13)(9,14)]); # Design 2462: autom. group order 2, simple B[2462]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,9,11,13,14],[1,3,6,7,8,12,14],[1,3,6,9,12,13,14],[1,4,5,6,9,11,12],[1,4,7,8,9,10,13],[1,4,7,8,9,11,14],[1,5,7,10,11,12,14],[1,5,8,10,11,12,13],[2,3,7,9,10,11,14],[2,3,8,9,11,12,13],[2,4,5,8,12,13,14],[2,4,6,7,11,12,13],[2,4,6,8,10,11,14],[2,5,6,7,9,10,12],[2,5,7,8,9,12,14],[3,4,5,7,11,13,14],[3,4,6,8,10,12,14],[3,4,7,9,10,12,13],[3,5,6,7,8,11,13],[3,5,6,8,9,10,11],[4,5,6,9,10,13,14]]; G[2462]:=Group([(2,11)(3,12)(4,10)(6,14)(9,13)]); # Design 2463: autom. group order 2, simple B[2463]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,9,11,13,14],[1,3,6,7,8,12,14],[1,3,6,9,12,13,14],[1,4,5,6,9,11,12],[1,4,7,8,9,10,13],[1,4,7,8,9,11,14],[1,5,7,10,11,12,14],[1,5,8,10,11,12,13],[2,3,7,9,11,12,13],[2,3,8,9,10,11,14],[2,4,5,8,12,13,14],[2,4,6,7,10,11,14],[2,4,6,8,11,12,13],[2,5,6,7,9,10,12],[2,5,7,8,9,12,14],[3,4,5,7,11,13,14],[3,4,6,8,10,12,14],[3,4,7,9,10,12,13],[3,5,6,7,8,11,13],[3,5,6,8,9,10,11],[4,5,6,9,10,13,14]]; G[2463]:=Group([(2,11)(3,12)(4,10)(6,14)(9,13)]); # Design 2464: autom. group order 2, simple B[2464]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,13,14],[1,3,6,7,8,10,14],[1,3,6,9,12,13,14],[1,4,5,6,9,11,12],[1,4,7,8,9,10,14],[1,4,7,8,9,12,13],[1,5,7,10,11,12,13],[1,5,8,10,11,12,14],[2,3,7,9,11,12,14],[2,3,8,9,10,12,13],[2,4,5,8,12,13,14],[2,4,6,7,10,12,14],[2,4,6,8,10,11,13],[2,5,6,7,9,10,12],[2,5,7,8,9,11,14],[3,4,5,7,11,13,14],[3,4,6,8,11,12,14],[3,4,7,9,10,11,13],[3,5,6,7,8,12,13],[3,5,6,8,9,10,11],[4,5,6,9,10,13,14]]; G[2464]:=Group([(2,11)(3,12)(4,10)(6,13)(9,14)]); # Design 2465: autom. group order 2, simple, residual B[2465]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,11,12,13],[1,2,6,8,10,11,14],[1,3,6,7,9,11,14],[1,3,6,8,9,12,13],[1,4,5,7,12,13,14],[1,4,6,8,9,10,12],[1,4,7,8,9,13,14],[1,5,7,8,10,11,13],[1,5,9,10,11,12,14],[2,3,7,9,10,12,13],[2,3,8,9,11,13,14],[2,4,5,6,9,11,13],[2,4,6,7,8,10,14],[2,4,7,9,11,12,14],[2,5,6,8,12,13,14],[2,5,7,8,9,10,12],[3,4,5,8,11,12,14],[3,4,6,10,12,13,14],[3,4,7,8,10,11,13],[3,5,6,7,8,11,12],[3,5,6,7,9,10,14],[4,5,6,9,10,11,13]]; G[2465]:=Group([(1,3)(4,5)(6,9)(7,8)(11,13)(12,14)]); # Design 2466: autom. group order 2, simple, residual B[2466]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,11,13,14],[1,2,6,8,10,12,13],[1,3,6,7,9,12,13],[1,3,6,8,9,11,14],[1,4,5,7,11,12,14],[1,4,6,9,10,12,14],[1,4,7,8,9,10,13],[1,5,7,8,9,11,12],[1,5,8,10,11,13,14],[2,3,7,9,10,11,14],[2,3,8,9,11,12,13],[2,4,5,6,9,11,13],[2,4,6,8,11,12,14],[2,4,7,8,9,10,14],[2,5,6,7,8,10,12],[2,5,7,9,12,13,14],[3,4,5,8,12,13,14],[3,4,6,7,8,13,14],[3,4,7,10,11,12,13],[3,5,6,7,8,10,11],[3,5,6,9,10,12,14],[4,5,6,9,10,11,13]]; G[2466]:=Group([(1,3)(4,5)(6,9)(7,8)(11,13)(12,14)]); # Design 2467: autom. group order 2, simple B[2467]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,8,11,14],[1,3,6,9,10,11,12],[1,4,5,7,12,13,14],[1,4,6,9,10,13,14],[1,4,8,10,11,13,14],[1,5,7,8,9,12,14],[1,5,7,9,10,11,12],[2,3,7,8,10,12,14],[2,3,7,9,11,13,14],[2,4,5,6,9,11,14],[2,4,6,7,10,12,14],[2,4,7,9,11,12,13],[2,5,6,8,10,12,13],[2,5,8,9,10,11,14],[3,4,5,8,11,12,13],[3,4,6,8,9,12,14],[3,4,7,8,9,10,13],[3,5,6,7,9,10,13],[3,5,6,11,12,13,14],[4,5,6,7,8,10,11]]; G[2467]:=Group([(2,13)(3,14)(5,10)(6,8)(7,11)]); # Design 2468: autom. group order 2, simple B[2468]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,8,11,14],[1,3,6,9,10,11,12],[1,4,5,7,12,13,14],[1,4,6,9,10,13,14],[1,4,8,10,11,13,14],[1,5,7,8,9,12,14],[1,5,7,9,10,11,12],[2,3,7,8,10,12,14],[2,3,7,9,11,13,14],[2,4,5,6,11,12,14],[2,4,6,7,9,10,14],[2,4,7,9,11,12,13],[2,5,6,8,10,12,13],[2,5,8,9,10,11,14],[3,4,5,8,9,11,13],[3,4,6,8,9,12,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,13],[3,5,6,11,12,13,14],[4,5,6,7,8,10,11]]; G[2468]:=Group([(2,13)(3,14)(5,10)(6,8)(7,11)]); # Design 2469: autom. group order 2, simple B[2469]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,8,11,14],[1,3,6,9,10,11,12],[1,4,5,7,12,13,14],[1,4,6,9,10,13,14],[1,4,8,10,11,13,14],[1,5,7,8,9,12,14],[1,5,7,9,10,11,12],[2,3,7,8,9,10,14],[2,3,7,11,12,13,14],[2,4,5,6,9,11,14],[2,4,6,7,10,12,14],[2,4,8,9,11,12,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,13],[3,4,5,8,11,12,13],[3,4,6,7,9,12,13],[3,4,7,8,9,10,13],[3,5,6,8,10,12,14],[3,5,6,9,11,13,14],[4,5,6,7,8,10,11]]; G[2469]:=Group([(2,13)(3,14)(5,10)(6,8)(7,11)]); # Design 2470: autom. group order 2, simple B[2470]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,8,11,14],[1,3,6,9,10,11,12],[1,4,5,7,12,13,14],[1,4,6,9,10,13,14],[1,4,8,10,11,13,14],[1,5,7,8,9,12,14],[1,5,7,9,10,11,12],[2,3,7,8,9,10,14],[2,3,7,11,12,13,14],[2,4,5,6,11,12,14],[2,4,6,7,9,10,14],[2,4,8,9,11,12,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,13],[3,4,5,8,9,11,13],[3,4,6,7,9,12,13],[3,4,7,8,10,12,13],[3,5,6,8,10,12,14],[3,5,6,9,11,13,14],[4,5,6,7,8,10,11]]; G[2470]:=Group([(2,13)(3,14)(5,10)(6,8)(7,11)]); # Design 2471: autom. group order 2, simple B[2471]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,8,11,14],[1,3,6,9,10,11,12],[1,4,5,7,12,13,14],[1,4,6,9,10,13,14],[1,4,8,10,11,13,14],[1,5,7,8,9,12,14],[1,5,7,9,10,11,12],[2,3,7,8,10,12,14],[2,3,7,9,11,13,14],[2,4,5,6,9,11,14],[2,4,6,7,10,12,14],[2,4,8,9,11,12,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,13],[3,4,5,8,11,12,13],[3,4,6,7,9,12,13],[3,4,7,8,9,10,13],[3,5,6,8,9,10,14],[3,5,6,11,12,13,14],[4,5,6,7,8,10,11]]; G[2471]:=Group([(2,13)(3,14)(5,10)(6,8)(7,11)]); # Design 2472: autom. group order 2, simple B[2472]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,8,11,14],[1,3,6,9,10,11,12],[1,4,5,7,12,13,14],[1,4,6,9,10,13,14],[1,4,8,10,11,13,14],[1,5,7,8,9,12,14],[1,5,7,9,10,11,12],[2,3,7,8,10,12,14],[2,3,7,9,11,13,14],[2,4,5,6,11,12,14],[2,4,6,7,9,10,14],[2,4,8,9,11,12,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,13],[3,4,5,8,9,11,13],[3,4,6,7,9,12,13],[3,4,7,8,10,12,13],[3,5,6,8,9,10,14],[3,5,6,11,12,13,14],[4,5,6,7,8,10,11]]; G[2472]:=Group([(2,13)(3,14)(5,10)(6,8)(7,11)]); # Design 2473: autom. group order 2, simple, residual B[2473]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,11,12,13],[1,2,6,8,10,13,14],[1,3,6,7,9,11,14],[1,3,6,8,9,12,13],[1,4,5,8,11,12,14],[1,4,6,7,9,10,14],[1,4,7,8,9,12,13],[1,5,7,8,10,11,13],[1,5,9,10,11,12,14],[2,3,7,9,10,11,12],[2,3,8,9,11,13,14],[2,4,5,6,9,11,13],[2,4,6,8,11,12,14],[2,4,7,8,9,10,14],[2,5,6,7,8,10,12],[2,5,7,9,12,13,14],[3,4,5,7,12,13,14],[3,4,6,10,12,13,14],[3,4,7,8,10,11,13],[3,5,6,7,8,11,14],[3,5,6,8,9,10,12],[4,5,6,9,10,11,13]]; G[2473]:=Group([(1,3)(4,5)(6,9)(7,8)(11,13)(12,14)]); # Design 2474: autom. group order 2, simple, residual B[2474]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,11],[1,2,6,9,10,12,13],[1,3,6,7,11,12,14],[1,3,6,8,12,13,14],[1,4,5,8,9,12,14],[1,4,6,7,8,9,13],[1,4,7,9,10,11,14],[1,5,7,9,11,12,13],[1,5,8,10,11,13,14],[2,3,7,8,9,11,14],[2,3,8,9,11,12,13],[2,4,5,6,11,13,14],[2,4,6,9,11,13,14],[2,4,7,8,10,12,13],[2,5,6,7,8,12,14],[2,5,7,9,10,12,14],[3,4,5,7,11,12,13],[3,4,6,9,10,12,14],[3,4,7,8,10,13,14],[3,5,6,7,9,10,13],[3,5,6,8,9,10,11],[4,5,6,8,10,11,12]]; G[2474]:=Group([(1,10)(2,11)(3,8)(4,6)(7,12)(13,14)]); # Design 2475: autom. group order 2, simple B[2475]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,10,11],[1,3,6,8,9,12,14],[1,4,5,9,11,13,14],[1,4,6,10,12,13,14],[1,4,7,8,10,13,14],[1,5,7,8,11,12,14],[1,5,7,9,10,11,12],[2,3,7,9,12,13,14],[2,3,8,10,11,12,14],[2,4,5,6,7,12,14],[2,4,6,9,10,11,14],[2,4,7,9,11,12,13],[2,5,6,8,10,11,13],[2,5,7,8,9,10,14],[3,4,5,8,11,12,13],[3,4,6,7,8,11,14],[3,4,7,8,9,10,13],[3,5,6,7,10,12,13],[3,5,6,9,11,13,14],[4,5,6,8,9,10,12]]; G[2475]:=Group([(2,13)(3,14)(5,10)(6,8)(9,12)]); # Design 2476: autom. group order 2, simple B[2476]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,10,11],[1,3,6,8,9,12,14],[1,4,5,9,11,13,14],[1,4,6,10,12,13,14],[1,4,7,8,10,13,14],[1,5,7,8,11,12,14],[1,5,7,9,10,11,12],[2,3,7,9,12,13,14],[2,3,8,10,11,12,14],[2,4,5,6,7,12,14],[2,4,6,9,10,11,14],[2,4,7,8,9,11,14],[2,5,6,8,10,11,13],[2,5,7,9,10,12,13],[3,4,5,8,11,12,13],[3,4,6,7,11,12,13],[3,4,7,8,9,10,13],[3,5,6,7,8,10,14],[3,5,6,9,11,13,14],[4,5,6,8,9,10,12]]; G[2476]:=Group([(2,13)(3,14)(5,10)(6,8)(9,12)]); # Design 2477: autom. group order 2, simple B[2477]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,10,11],[1,3,6,8,9,12,14],[1,4,5,9,11,13,14],[1,4,6,10,12,13,14],[1,4,7,8,10,13,14],[1,5,7,8,11,12,14],[1,5,7,9,10,11,12],[2,3,7,8,10,12,14],[2,3,9,11,12,13,14],[2,4,5,6,7,12,14],[2,4,6,9,10,11,14],[2,4,7,8,9,11,14],[2,5,6,8,10,11,13],[2,5,7,9,10,12,13],[3,4,5,8,11,12,13],[3,4,6,7,11,12,13],[3,4,7,8,9,10,13],[3,5,6,7,9,13,14],[3,5,6,8,10,11,14],[4,5,6,8,9,10,12]]; G[2477]:=Group([(2,13)(3,14)(5,10)(6,8)(9,12)]); # Design 2478: autom. group order 2, simple, residual B[2478]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,11,13,14],[1,2,6,8,10,11,12],[1,3,6,7,9,12,13],[1,3,6,8,9,11,14],[1,4,5,8,12,13,14],[1,4,6,9,10,12,14],[1,4,7,8,9,10,13],[1,5,7,8,9,11,14],[1,5,7,10,11,12,13],[2,3,7,9,10,13,14],[2,3,8,9,11,12,13],[2,4,5,6,9,11,13],[2,4,6,7,8,10,14],[2,4,7,9,11,12,14],[2,5,6,8,12,13,14],[2,5,7,8,9,10,12],[3,4,5,7,11,12,14],[3,4,6,7,8,12,13],[3,4,8,10,11,13,14],[3,5,6,7,8,10,11],[3,5,6,9,10,12,14],[4,5,6,9,10,11,13]]; G[2478]:=Group([(1,3)(4,5)(6,9)(7,8)(11,13)(12,14)]); # Design 2479: autom. group order 2, simple B[2479]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,10,11],[1,3,6,8,9,12,14],[1,4,5,9,11,13,14],[1,4,6,10,12,13,14],[1,4,7,8,10,13,14],[1,5,7,8,11,12,14],[1,5,7,9,10,11,12],[2,3,7,9,12,13,14],[2,3,8,10,11,12,14],[2,4,5,6,11,12,14],[2,4,6,7,9,10,14],[2,4,7,9,11,12,13],[2,5,6,8,10,11,13],[2,5,7,8,9,10,14],[3,4,5,7,8,12,13],[3,4,6,7,8,11,14],[3,4,8,9,10,11,13],[3,5,6,7,10,12,13],[3,5,6,9,11,13,14],[4,5,6,8,9,10,12]]; G[2479]:=Group([(2,13)(3,14)(5,10)(6,8)(9,12)]); # Design 2480: autom. group order 2, simple B[2480]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,10,11],[1,3,6,8,9,12,14],[1,4,5,9,11,13,14],[1,4,6,10,12,13,14],[1,4,7,8,10,13,14],[1,5,7,8,11,12,14],[1,5,7,9,10,11,12],[2,3,7,9,12,13,14],[2,3,8,10,11,12,14],[2,4,5,6,11,12,14],[2,4,6,7,9,10,14],[2,4,7,8,9,11,14],[2,5,6,8,10,11,13],[2,5,7,9,10,12,13],[3,4,5,7,8,12,13],[3,4,6,7,11,12,13],[3,4,8,9,10,11,13],[3,5,6,7,8,10,14],[3,5,6,9,11,13,14],[4,5,6,8,9,10,12]]; G[2480]:=Group([(2,13)(3,14)(5,10)(6,8)(9,12)]); # Design 2481: autom. group order 2, simple B[2481]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,10,11],[1,3,6,8,9,12,14],[1,4,5,9,11,13,14],[1,4,6,10,12,13,14],[1,4,7,8,10,13,14],[1,5,7,8,11,12,14],[1,5,7,9,10,11,12],[2,3,7,8,10,12,14],[2,3,9,11,12,13,14],[2,4,5,6,11,12,14],[2,4,6,7,9,10,14],[2,4,7,8,9,11,14],[2,5,6,8,10,11,13],[2,5,7,9,10,12,13],[3,4,5,7,8,12,13],[3,4,6,7,11,12,13],[3,4,8,9,10,11,13],[3,5,6,7,9,13,14],[3,5,6,8,10,11,14],[4,5,6,8,9,10,12]]; G[2481]:=Group([(2,13)(3,14)(5,10)(6,8)(9,12)]); # Design 2482: autom. group order 2, simple, residual B[2482]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,10,11,13],[1,2,6,9,11,13,14],[1,3,6,7,8,9,14],[1,3,6,7,11,12,14],[1,4,5,8,12,13,14],[1,4,6,9,10,12,13],[1,4,7,9,10,12,14],[1,5,7,8,9,10,11],[1,5,7,8,11,12,13],[2,3,7,8,12,13,14],[2,3,7,9,10,12,13],[2,4,5,6,7,11,12],[2,4,6,7,8,9,13],[2,4,8,9,11,12,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,14],[3,4,5,9,11,13,14],[3,4,6,8,10,11,14],[3,4,7,8,10,11,13],[3,5,6,8,9,10,12],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[2482]:=Group([(1,3)(6,7)(8,9)(11,12)]); # Design 2483: autom. group order 2, simple, residual B[2483]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,10,11,13],[1,2,6,9,11,13,14],[1,3,6,7,8,9,14],[1,3,6,7,11,12,14],[1,4,5,8,12,13,14],[1,4,6,9,10,12,14],[1,4,7,9,10,12,13],[1,5,7,8,9,10,11],[1,5,7,8,11,12,13],[2,3,7,8,12,13,14],[2,3,7,9,10,12,13],[2,4,5,6,7,11,12],[2,4,6,7,8,9,13],[2,4,8,9,11,12,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,14],[3,4,5,9,11,13,14],[3,4,6,8,10,11,13],[3,4,7,8,10,11,14],[3,5,6,8,9,10,12],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[2483]:=Group([(1,3)(6,7)(8,9)(11,12)]); # Design 2484: autom. group order 2, simple, residual B[2484]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,10,11,13],[1,2,6,9,12,13,14],[1,3,6,7,8,9,14],[1,3,6,7,11,12,14],[1,4,5,8,12,13,14],[1,4,6,9,10,11,13],[1,4,7,9,10,12,14],[1,5,7,8,9,10,11],[1,5,7,8,11,12,13],[2,3,7,8,11,13,14],[2,3,7,9,10,12,13],[2,4,5,6,7,11,12],[2,4,6,7,8,9,13],[2,4,8,9,11,12,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,14],[3,4,5,9,11,13,14],[3,4,6,8,10,11,14],[3,4,7,8,10,12,13],[3,5,6,8,9,10,12],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[2484]:=Group([(1,3)(6,7)(8,9)(11,12)]); # Design 2485: autom. group order 2, simple, residual B[2485]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,10,11,13],[1,2,6,9,12,13,14],[1,3,6,7,8,9,14],[1,3,6,7,11,12,14],[1,4,5,8,12,13,14],[1,4,6,9,10,11,14],[1,4,7,9,10,12,13],[1,5,7,8,9,10,11],[1,5,7,8,11,12,13],[2,3,7,8,11,13,14],[2,3,7,9,10,12,13],[2,4,5,6,7,11,12],[2,4,6,7,8,9,13],[2,4,8,9,11,12,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,14],[3,4,5,9,11,13,14],[3,4,6,8,10,11,13],[3,4,7,8,10,12,14],[3,5,6,8,9,10,12],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[2485]:=Group([(1,3)(6,7)(8,9)(11,12)]); # Design 2486: autom. group order 2, simple, residual B[2486]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,11,13,14],[1,2,6,9,10,11,13],[1,3,6,7,8,9,14],[1,3,6,7,11,12,14],[1,4,5,8,12,13,14],[1,4,6,9,10,12,13],[1,4,7,9,10,12,14],[1,5,7,8,9,10,11],[1,5,7,8,11,12,13],[2,3,7,8,10,12,13],[2,3,7,9,12,13,14],[2,4,5,6,7,11,12],[2,4,6,7,8,9,13],[2,4,8,9,11,12,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,14],[3,4,5,9,11,13,14],[3,4,6,8,10,11,14],[3,4,7,8,10,11,13],[3,5,6,8,9,10,12],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[2486]:=Group([(1,3)(6,7)(8,9)(11,12)]); # Design 2487: autom. group order 2, simple, residual B[2487]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,11,13,14],[1,2,6,9,10,11,13],[1,3,6,7,8,9,14],[1,3,6,7,11,12,14],[1,4,5,8,12,13,14],[1,4,6,9,10,12,14],[1,4,7,9,10,12,13],[1,5,7,8,9,10,11],[1,5,7,8,11,12,13],[2,3,7,8,10,12,13],[2,3,7,9,12,13,14],[2,4,5,6,7,11,12],[2,4,6,7,8,9,13],[2,4,8,9,11,12,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,14],[3,4,5,9,11,13,14],[3,4,6,8,10,11,13],[3,4,7,8,10,11,14],[3,5,6,8,9,10,12],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[2487]:=Group([(1,3)(6,7)(8,9)(11,12)]); # Design 2488: autom. group order 2, simple, residual B[2488]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,11,13,14],[1,2,6,9,10,12,13],[1,3,6,7,8,9,14],[1,3,6,7,11,12,14],[1,4,5,8,12,13,14],[1,4,6,9,10,11,13],[1,4,7,9,10,12,14],[1,5,7,8,9,10,11],[1,5,7,8,11,12,13],[2,3,7,8,10,11,13],[2,3,7,9,12,13,14],[2,4,5,6,7,11,12],[2,4,6,7,8,9,13],[2,4,8,9,11,12,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,14],[3,4,5,9,11,13,14],[3,4,6,8,10,11,14],[3,4,7,8,10,12,13],[3,5,6,8,9,10,12],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[2488]:=Group([(1,3)(6,7)(8,9)(11,12)]); # Design 2489: autom. group order 2, simple, residual B[2489]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,11,13,14],[1,2,6,9,10,12,13],[1,3,6,7,8,9,14],[1,3,6,7,11,12,14],[1,4,5,8,12,13,14],[1,4,6,9,10,11,14],[1,4,7,9,10,12,13],[1,5,7,8,9,10,11],[1,5,7,8,11,12,13],[2,3,7,8,10,11,13],[2,3,7,9,12,13,14],[2,4,5,6,7,11,12],[2,4,6,7,8,9,13],[2,4,8,9,11,12,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,14],[3,4,5,9,11,13,14],[3,4,6,8,10,11,13],[3,4,7,8,10,12,14],[3,5,6,8,9,10,12],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[2489]:=Group([(1,3)(6,7)(8,9)(11,12)]); # Design 2490: autom. group order 2, simple, residual B[2490]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,10,11,13],[1,2,6,9,11,13,14],[1,3,6,7,8,9,14],[1,3,6,7,11,12,14],[1,4,5,8,12,13,14],[1,4,6,9,10,12,13],[1,4,7,8,10,11,14],[1,5,7,8,9,10,12],[1,5,7,9,11,12,13],[2,3,7,8,12,13,14],[2,3,7,9,10,12,13],[2,4,5,6,7,11,12],[2,4,6,7,8,9,13],[2,4,8,9,11,12,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,14],[3,4,5,9,11,13,14],[3,4,6,9,10,12,14],[3,4,7,8,10,11,13],[3,5,6,8,9,10,11],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[2490]:=Group([(1,3)(6,7)(8,9)(11,12)]); # Design 2491: autom. group order 2, simple, residual B[2491]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,10,11,13],[1,2,6,9,11,13,14],[1,3,6,7,8,9,14],[1,3,6,7,11,12,14],[1,4,5,8,12,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,11,13],[1,5,7,8,9,10,12],[1,5,7,9,11,12,13],[2,3,7,8,12,13,14],[2,3,7,9,10,12,13],[2,4,5,6,7,11,12],[2,4,6,7,8,9,13],[2,4,8,9,11,12,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,14],[3,4,5,9,11,13,14],[3,4,6,9,10,12,13],[3,4,7,8,10,11,14],[3,5,6,8,9,10,11],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[2491]:=Group([(1,3)(6,7)(8,9)(11,12)]); # Design 2492: autom. group order 2, simple, residual B[2492]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,10,11,13],[1,2,6,9,12,13,14],[1,3,6,7,8,9,14],[1,3,6,7,11,12,14],[1,4,5,8,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,11,14],[1,5,7,8,9,10,12],[1,5,7,9,11,12,13],[2,3,7,8,11,13,14],[2,3,7,9,10,12,13],[2,4,5,6,7,11,12],[2,4,6,7,8,9,13],[2,4,8,9,11,12,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,14],[3,4,5,9,11,13,14],[3,4,6,9,10,12,14],[3,4,7,8,10,12,13],[3,5,6,8,9,10,11],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[2492]:=Group([(1,3)(6,7)(8,9)(11,12)]); # Design 2493: autom. group order 2, simple, residual B[2493]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,10,11,13],[1,2,6,9,12,13,14],[1,3,6,7,8,9,14],[1,3,6,7,11,12,14],[1,4,5,8,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,10,11,13],[1,5,7,8,9,10,12],[1,5,7,9,11,12,13],[2,3,7,8,11,13,14],[2,3,7,9,10,12,13],[2,4,5,6,7,11,12],[2,4,6,7,8,9,13],[2,4,8,9,11,12,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,14],[3,4,5,9,11,13,14],[3,4,6,9,10,12,13],[3,4,7,8,10,12,14],[3,5,6,8,9,10,11],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[2493]:=Group([(1,3)(6,7)(8,9)(11,12)]); # Design 2494: autom. group order 2, simple, residual B[2494]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,11,13,14],[1,2,6,9,10,11,13],[1,3,6,7,8,9,14],[1,3,6,7,11,12,14],[1,4,5,8,12,13,14],[1,4,6,9,10,12,13],[1,4,7,8,10,11,14],[1,5,7,8,9,10,12],[1,5,7,9,11,12,13],[2,3,7,8,10,12,13],[2,3,7,9,12,13,14],[2,4,5,6,7,11,12],[2,4,6,7,8,9,13],[2,4,8,9,11,12,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,14],[3,4,5,9,11,13,14],[3,4,6,9,10,12,14],[3,4,7,8,10,11,13],[3,5,6,8,9,10,11],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[2494]:=Group([(1,3)(6,7)(8,9)(11,12)]); # Design 2495: autom. group order 2, simple, residual B[2495]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,11,13,14],[1,2,6,9,10,11,13],[1,3,6,7,8,9,14],[1,3,6,7,11,12,14],[1,4,5,8,12,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,11,13],[1,5,7,8,9,10,12],[1,5,7,9,11,12,13],[2,3,7,8,10,12,13],[2,3,7,9,12,13,14],[2,4,5,6,7,11,12],[2,4,6,7,8,9,13],[2,4,8,9,11,12,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,14],[3,4,5,9,11,13,14],[3,4,6,9,10,12,13],[3,4,7,8,10,11,14],[3,5,6,8,9,10,11],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[2495]:=Group([(1,3)(6,7)(8,9)(11,12)]); # Design 2496: autom. group order 2, simple, residual B[2496]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,11,13,14],[1,2,6,9,10,12,13],[1,3,6,7,8,9,14],[1,3,6,7,11,12,14],[1,4,5,8,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,11,14],[1,5,7,8,9,10,12],[1,5,7,9,11,12,13],[2,3,7,8,10,11,13],[2,3,7,9,12,13,14],[2,4,5,6,7,11,12],[2,4,6,7,8,9,13],[2,4,8,9,11,12,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,14],[3,4,5,9,11,13,14],[3,4,6,9,10,12,14],[3,4,7,8,10,12,13],[3,5,6,8,9,10,11],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[2496]:=Group([(1,3)(6,7)(8,9)(11,12)]); # Design 2497: autom. group order 2, simple, residual B[2497]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,11,13,14],[1,2,6,9,10,12,13],[1,3,6,7,8,9,14],[1,3,6,7,11,12,14],[1,4,5,8,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,10,11,13],[1,5,7,8,9,10,12],[1,5,7,9,11,12,13],[2,3,7,8,10,11,13],[2,3,7,9,12,13,14],[2,4,5,6,7,11,12],[2,4,6,7,8,9,13],[2,4,8,9,11,12,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,14],[3,4,5,9,11,13,14],[3,4,6,9,10,12,13],[3,4,7,8,10,12,14],[3,5,6,8,9,10,11],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[2497]:=Group([(1,3)(6,7)(8,9)(11,12)]); # Design 2498: autom. group order 2, simple, residual B[2498]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,10,11,13],[1,2,6,8,12,13,14],[1,3,6,7,8,9,14],[1,3,6,7,11,12,14],[1,4,5,9,11,13,14],[1,4,6,9,10,12,13],[1,4,7,9,10,12,14],[1,5,7,8,9,10,11],[1,5,7,8,11,12,13],[2,3,7,9,10,12,13],[2,3,7,9,11,13,14],[2,4,5,6,7,11,12],[2,4,6,7,8,9,13],[2,4,8,9,11,12,14],[2,5,6,9,10,11,14],[2,5,7,8,10,12,14],[3,4,5,8,12,13,14],[3,4,6,8,10,11,14],[3,4,7,8,10,11,13],[3,5,6,8,9,10,12],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[2498]:=Group([(1,3)(6,7)(8,9)(11,12)]); # Design 2499: autom. group order 2, simple, residual B[2499]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,10,11,13],[1,2,6,8,12,13,14],[1,3,6,7,8,9,14],[1,3,6,7,11,12,14],[1,4,5,9,11,13,14],[1,4,6,9,10,12,14],[1,4,7,9,10,12,13],[1,5,7,8,9,10,11],[1,5,7,8,11,12,13],[2,3,7,9,10,12,13],[2,3,7,9,11,13,14],[2,4,5,6,7,11,12],[2,4,6,7,8,9,13],[2,4,8,9,11,12,14],[2,5,6,9,10,11,14],[2,5,7,8,10,12,14],[3,4,5,8,12,13,14],[3,4,6,8,10,11,13],[3,4,7,8,10,11,14],[3,5,6,8,9,10,12],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[2499]:=Group([(1,3)(6,7)(8,9)(11,12)]); # Design 2500: autom. group order 2, simple, residual B[2500]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,10,11,13],[1,2,6,8,12,13,14],[1,3,6,7,8,9,14],[1,3,6,7,11,12,14],[1,4,5,9,12,13,14],[1,4,6,9,10,11,13],[1,4,7,9,10,11,14],[1,5,7,8,9,10,12],[1,5,7,8,11,12,13],[2,3,7,9,10,12,13],[2,3,7,9,11,13,14],[2,4,5,6,7,11,12],[2,4,6,7,8,9,13],[2,4,8,9,11,12,14],[2,5,6,9,10,12,14],[2,5,7,8,10,11,14],[3,4,5,8,11,13,14],[3,4,6,8,10,12,14],[3,4,7,8,10,12,13],[3,5,6,8,9,10,11],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[2500]:=Group([(1,3)(6,7)(8,9)(11,12)]); # Design 2501: autom. group order 2, simple, residual B[2501]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,10,11,13],[1,2,6,8,12,13,14],[1,3,6,7,8,9,14],[1,3,6,7,11,12,14],[1,4,5,9,12,13,14],[1,4,6,9,10,11,14],[1,4,7,9,10,11,13],[1,5,7,8,9,10,12],[1,5,7,8,11,12,13],[2,3,7,9,10,12,13],[2,3,7,9,11,13,14],[2,4,5,6,7,11,12],[2,4,6,7,8,9,13],[2,4,8,9,11,12,14],[2,5,6,9,10,12,14],[2,5,7,8,10,11,14],[3,4,5,8,11,13,14],[3,4,6,8,10,12,13],[3,4,7,8,10,12,14],[3,5,6,8,9,10,11],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[2501]:=Group([(1,3)(6,7)(8,9)(11,12)]); # Design 2502: autom. group order 2, simple, residual B[2502]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,10,12,14],[1,3,6,7,8,9,12],[1,3,6,7,11,13,14],[1,4,5,9,11,12,13],[1,4,6,9,10,11,14],[1,4,7,9,12,13,14],[1,5,7,8,10,11,13],[1,5,7,8,10,12,14],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,6,7,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,8,11,12,13],[2,5,7,9,11,12,14],[3,4,5,8,11,12,14],[3,4,6,8,12,13,14],[3,4,7,8,10,11,13],[3,5,6,9,10,11,14],[3,5,6,9,10,12,13],[4,5,6,7,8,9,10]]; G[2502]:=Group([(1,3)(6,7)(8,9)(13,14)]); # Design 2503: autom. group order 2, simple, residual B[2503]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,10,12,14],[1,3,6,7,8,9,12],[1,3,6,7,11,13,14],[1,4,5,9,11,12,13],[1,4,6,9,10,11,14],[1,4,7,9,12,13,14],[1,5,7,8,10,11,14],[1,5,7,8,10,12,13],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,6,7,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,8,11,12,13],[2,5,7,9,11,12,14],[3,4,5,8,11,12,14],[3,4,6,8,12,13,14],[3,4,7,8,10,11,13],[3,5,6,9,10,11,13],[3,5,6,9,10,12,14],[4,5,6,7,8,9,10]]; G[2503]:=Group([(1,3)(6,7)(8,9)(13,14)]); # Design 2504: autom. group order 2, simple, residual B[2504]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,10,12,14],[1,3,6,7,8,9,12],[1,3,6,7,11,13,14],[1,4,5,9,11,12,14],[1,4,6,9,12,13,14],[1,4,7,9,10,11,13],[1,5,7,8,10,11,13],[1,5,7,8,10,12,14],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,6,7,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,8,11,12,13],[2,5,7,9,11,12,14],[3,4,5,8,11,12,13],[3,4,6,8,10,11,14],[3,4,7,8,12,13,14],[3,5,6,9,10,11,14],[3,5,6,9,10,12,13],[4,5,6,7,8,9,10]]; G[2504]:=Group([(1,3)(6,7)(8,9)(13,14)]); # Design 2505: autom. group order 2, simple, residual B[2505]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,10,12,14],[1,3,6,7,8,9,12],[1,3,6,7,11,13,14],[1,4,5,9,11,12,14],[1,4,6,9,12,13,14],[1,4,7,9,10,11,13],[1,5,7,8,10,11,14],[1,5,7,8,10,12,13],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,6,7,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,8,11,12,13],[2,5,7,9,11,12,14],[3,4,5,8,11,12,13],[3,4,6,8,10,11,14],[3,4,7,8,12,13,14],[3,5,6,9,10,11,13],[3,5,6,9,10,12,14],[4,5,6,7,8,9,10]]; G[2505]:=Group([(1,3)(6,7)(8,9)(13,14)]); # Design 2506: autom. group order 2, simple, residual B[2506]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,10,11,13],[1,2,6,8,12,13,14],[1,3,6,7,8,9,14],[1,3,6,7,11,12,14],[1,4,5,9,11,13,14],[1,4,6,9,10,12,13],[1,4,7,8,10,11,14],[1,5,7,8,9,10,12],[1,5,7,9,11,12,13],[2,3,7,9,10,12,13],[2,3,7,9,11,13,14],[2,4,5,6,7,11,12],[2,4,6,7,8,9,13],[2,4,8,9,11,12,14],[2,5,6,9,10,11,14],[2,5,7,8,10,12,14],[3,4,5,8,12,13,14],[3,4,6,9,10,12,14],[3,4,7,8,10,11,13],[3,5,6,8,9,10,11],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[2506]:=Group([(1,3)(6,7)(8,9)(11,12)]); # Design 2507: autom. group order 2, simple, residual B[2507]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,10,11,13],[1,2,6,8,12,13,14],[1,3,6,7,8,9,14],[1,3,6,7,11,12,14],[1,4,5,9,11,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,11,13],[1,5,7,8,9,10,12],[1,5,7,9,11,12,13],[2,3,7,9,10,12,13],[2,3,7,9,11,13,14],[2,4,5,6,7,11,12],[2,4,6,7,8,9,13],[2,4,8,9,11,12,14],[2,5,6,9,10,11,14],[2,5,7,8,10,12,14],[3,4,5,8,12,13,14],[3,4,6,9,10,12,13],[3,4,7,8,10,11,14],[3,5,6,8,9,10,11],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[2507]:=Group([(1,3)(6,7)(8,9)(11,12)]); # Design 2508: autom. group order 2, simple, residual B[2508]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,10,11,13],[1,2,6,8,12,13,14],[1,3,6,7,8,9,14],[1,3,6,7,11,12,14],[1,4,5,9,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,12,14],[1,5,7,8,9,10,11],[1,5,7,9,11,12,13],[2,3,7,9,10,12,13],[2,3,7,9,11,13,14],[2,4,5,6,7,11,12],[2,4,6,7,8,9,13],[2,4,8,9,11,12,14],[2,5,6,9,10,12,14],[2,5,7,8,10,11,14],[3,4,5,8,11,13,14],[3,4,6,9,10,11,14],[3,4,7,8,10,12,13],[3,5,6,8,9,10,12],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[2508]:=Group([(1,3)(6,7)(8,9)(11,12)]); # Design 2509: autom. group order 2, simple, residual B[2509]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,10,11,13],[1,2,6,8,12,13,14],[1,3,6,7,8,9,14],[1,3,6,7,11,12,14],[1,4,5,9,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,10,12,13],[1,5,7,8,9,10,11],[1,5,7,9,11,12,13],[2,3,7,9,10,12,13],[2,3,7,9,11,13,14],[2,4,5,6,7,11,12],[2,4,6,7,8,9,13],[2,4,8,9,11,12,14],[2,5,6,9,10,12,14],[2,5,7,8,10,11,14],[3,4,5,8,11,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,12,14],[3,5,6,8,9,10,12],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[2509]:=Group([(1,3)(6,7)(8,9)(11,12)]); # Design 2510: autom. group order 2, simple, residual B[2510]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,10,12,13],[1,3,6,7,8,9,12],[1,3,6,7,11,13,14],[1,4,5,9,11,12,14],[1,4,6,9,10,11,14],[1,4,7,8,12,13,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,9,11,14],[2,3,7,9,10,12,14],[2,4,5,6,7,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,8,11,12,14],[2,5,7,9,11,12,13],[3,4,5,8,11,12,13],[3,4,6,9,12,13,14],[3,4,7,8,10,11,13],[3,5,6,8,10,12,14],[3,5,6,9,10,11,13],[4,5,6,7,8,9,10]]; G[2510]:=Group([(1,3)(6,7)(8,9)(13,14)]); # Design 2511: autom. group order 2, simple, residual B[2511]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,10,12,14],[1,3,6,7,8,9,12],[1,3,6,7,11,13,14],[1,4,5,9,11,12,14],[1,4,6,9,10,11,13],[1,4,7,8,12,13,14],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,6,7,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,8,11,12,14],[2,5,7,9,11,12,13],[3,4,5,8,11,12,13],[3,4,6,9,12,13,14],[3,4,7,8,10,11,14],[3,5,6,8,10,12,13],[3,5,6,9,10,11,14],[4,5,6,7,8,9,10]]; G[2511]:=Group([(1,3)(6,7)(8,9)(13,14)]); # Design 2512: autom. group order 2, simple, residual B[2512]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,10,12,13],[1,3,6,7,8,9,12],[1,3,6,7,11,13,14],[1,4,5,9,11,12,14],[1,4,6,9,10,11,14],[1,4,7,8,12,13,14],[1,5,7,8,10,12,14],[1,5,7,9,10,11,13],[2,3,7,8,9,11,14],[2,3,7,9,10,12,14],[2,4,5,6,7,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,8,11,12,14],[2,5,7,9,11,12,13],[3,4,5,8,11,12,13],[3,4,6,9,12,13,14],[3,4,7,8,10,11,13],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13],[4,5,6,7,8,9,10]]; G[2512]:=Group([(1,3)(6,7)(8,9)(13,14)]); # Design 2513: autom. group order 2, simple, residual B[2513]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,10,12,14],[1,3,6,7,8,9,12],[1,3,6,7,11,13,14],[1,4,5,9,11,12,14],[1,4,6,9,10,11,13],[1,4,7,8,12,13,14],[1,5,7,8,10,12,13],[1,5,7,9,10,11,14],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,6,7,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,8,11,12,14],[2,5,7,9,11,12,13],[3,4,5,8,11,12,13],[3,4,6,9,12,13,14],[3,4,7,8,10,11,14],[3,5,6,8,10,11,13],[3,5,6,9,10,12,14],[4,5,6,7,8,9,10]]; G[2513]:=Group([(1,3)(6,7)(8,9)(13,14)]); # Design 2514: autom. group order 2, simple, residual B[2514]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,10,12,14],[1,3,6,7,8,9,12],[1,3,6,7,11,13,14],[1,4,5,9,11,12,14],[1,4,6,9,12,13,14],[1,4,7,8,10,11,13],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,6,7,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,8,11,12,13],[2,5,7,9,11,12,14],[3,4,5,8,11,12,13],[3,4,6,9,10,11,14],[3,4,7,8,12,13,14],[3,5,6,8,10,12,14],[3,5,6,9,10,11,13],[4,5,6,7,8,9,10]]; G[2514]:=Group([(1,3)(6,7)(8,9)(13,14)]); # Design 2515: autom. group order 2, simple, residual B[2515]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,10,12,14],[1,3,6,7,8,9,12],[1,3,6,7,11,13,14],[1,4,5,9,11,12,14],[1,4,6,9,12,13,14],[1,4,7,8,10,11,14],[1,5,7,8,10,11,13],[1,5,7,9,10,12,13],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,6,7,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,8,11,12,13],[2,5,7,9,11,12,14],[3,4,5,8,11,12,13],[3,4,6,9,10,11,13],[3,4,7,8,12,13,14],[3,5,6,8,10,12,14],[3,5,6,9,10,11,14],[4,5,6,7,8,9,10]]; G[2515]:=Group([(1,3)(6,7)(8,9)(13,14)]); # Design 2516: autom. group order 2, simple, residual B[2516]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,10,12,14],[1,3,6,7,8,9,12],[1,3,6,7,11,13,14],[1,4,5,9,11,12,14],[1,4,6,9,12,13,14],[1,4,7,8,10,11,13],[1,5,7,8,10,12,14],[1,5,7,9,10,11,13],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,6,7,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,8,11,12,13],[2,5,7,9,11,12,14],[3,4,5,8,11,12,13],[3,4,6,9,10,11,14],[3,4,7,8,12,13,14],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13],[4,5,6,7,8,9,10]]; G[2516]:=Group([(1,3)(6,7)(8,9)(13,14)]); # Design 2517: autom. group order 2, simple, residual B[2517]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,10,12,14],[1,3,6,7,8,9,12],[1,3,6,7,11,13,14],[1,4,5,9,11,12,14],[1,4,6,9,12,13,14],[1,4,7,8,10,11,14],[1,5,7,8,10,12,13],[1,5,7,9,10,11,13],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,6,7,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,8,11,12,13],[2,5,7,9,11,12,14],[3,4,5,8,11,12,13],[3,4,6,9,10,11,13],[3,4,7,8,12,13,14],[3,5,6,8,10,11,14],[3,5,6,9,10,12,14],[4,5,6,7,8,9,10]]; G[2517]:=Group([(1,3)(6,7)(8,9)(13,14)]); # Design 2518: autom. group order 2, simple, residual B[2518]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,10,12,13],[1,3,6,7,8,9,12],[1,3,6,7,11,13,14],[1,4,5,8,11,12,14],[1,4,6,9,10,11,14],[1,4,7,9,12,13,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,9,11,14],[2,3,7,9,10,12,14],[2,4,5,6,7,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,9,11,12,14],[2,5,7,8,11,12,13],[3,4,5,9,11,12,13],[3,4,6,8,12,13,14],[3,4,7,8,10,11,13],[3,5,6,8,10,12,14],[3,5,6,9,10,11,13],[4,5,6,7,8,9,10]]; G[2518]:=Group([(1,3)(6,7)(8,9)(13,14)]); # Design 2519: autom. group order 2, simple, residual B[2519]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,10,12,14],[1,3,6,7,8,9,12],[1,3,6,7,11,13,14],[1,4,5,8,11,12,14],[1,4,6,9,10,11,13],[1,4,7,9,12,13,14],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,6,7,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,9,11,12,14],[2,5,7,8,11,12,13],[3,4,5,9,11,12,13],[3,4,6,8,12,13,14],[3,4,7,8,10,11,14],[3,5,6,8,10,12,13],[3,5,6,9,10,11,14],[4,5,6,7,8,9,10]]; G[2519]:=Group([(1,3)(6,7)(8,9)(13,14)]); # Design 2520: autom. group order 2, simple, residual B[2520]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,10,12,13],[1,3,6,7,8,9,12],[1,3,6,7,11,13,14],[1,4,5,8,11,12,14],[1,4,6,9,10,11,14],[1,4,7,9,12,13,14],[1,5,7,8,10,12,14],[1,5,7,9,10,11,13],[2,3,7,8,9,11,14],[2,3,7,9,10,12,14],[2,4,5,6,7,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,9,11,12,14],[2,5,7,8,11,12,13],[3,4,5,9,11,12,13],[3,4,6,8,12,13,14],[3,4,7,8,10,11,13],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13],[4,5,6,7,8,9,10]]; G[2520]:=Group([(1,3)(6,7)(8,9)(13,14)]); # Design 2521: autom. group order 2, simple, residual B[2521]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,10,12,14],[1,3,6,7,8,9,12],[1,3,6,7,11,13,14],[1,4,5,8,11,12,14],[1,4,6,9,10,11,13],[1,4,7,9,12,13,14],[1,5,7,8,10,12,13],[1,5,7,9,10,11,14],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,6,7,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,9,11,12,14],[2,5,7,8,11,12,13],[3,4,5,9,11,12,13],[3,4,6,8,12,13,14],[3,4,7,8,10,11,14],[3,5,6,8,10,11,13],[3,5,6,9,10,12,14],[4,5,6,7,8,9,10]]; G[2521]:=Group([(1,3)(6,7)(8,9)(13,14)]); # Design 2522: autom. group order 2, simple, residual B[2522]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,10,12,14],[1,3,6,7,8,9,12],[1,3,6,7,11,13,14],[1,4,5,8,11,12,13],[1,4,6,9,12,13,14],[1,4,7,9,10,11,13],[1,5,7,8,10,11,14],[1,5,7,9,10,12,14],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,6,7,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,9,11,12,14],[2,5,7,8,11,12,13],[3,4,5,9,11,12,14],[3,4,6,8,10,11,14],[3,4,7,8,12,13,14],[3,5,6,8,10,12,13],[3,5,6,9,10,11,13],[4,5,6,7,8,9,10]]; G[2522]:=Group([(1,3)(6,7)(8,9)(13,14)]); # Design 2523: autom. group order 2, simple, residual B[2523]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,10,12,14],[1,3,6,7,8,9,12],[1,3,6,7,11,13,14],[1,4,5,8,11,12,13],[1,4,6,9,12,13,14],[1,4,7,9,10,11,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,6,7,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,9,11,12,14],[2,5,7,8,11,12,13],[3,4,5,9,11,12,14],[3,4,6,8,10,11,13],[3,4,7,8,12,13,14],[3,5,6,8,10,12,14],[3,5,6,9,10,11,13],[4,5,6,7,8,9,10]]; G[2523]:=Group([(1,3)(6,7)(8,9)(13,14)]); # Design 2524: autom. group order 2, simple, residual B[2524]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,10,12,14],[1,3,6,7,8,9,12],[1,3,6,7,11,13,14],[1,4,5,8,11,12,13],[1,4,6,9,12,13,14],[1,4,7,9,10,11,13],[1,5,7,8,10,12,14],[1,5,7,9,10,11,14],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,6,7,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,9,11,12,14],[2,5,7,8,11,12,13],[3,4,5,9,11,12,14],[3,4,6,8,10,11,14],[3,4,7,8,12,13,14],[3,5,6,8,10,11,13],[3,5,6,9,10,12,13],[4,5,6,7,8,9,10]]; G[2524]:=Group([(1,3)(6,7)(8,9)(13,14)]); # Design 2525: autom. group order 2, simple, residual B[2525]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,10,12,14],[1,3,6,7,8,9,12],[1,3,6,7,11,13,14],[1,4,5,8,11,12,13],[1,4,6,9,12,13,14],[1,4,7,9,10,11,14],[1,5,7,8,10,12,14],[1,5,7,9,10,11,13],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,6,7,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,9,11,12,14],[2,5,7,8,11,12,13],[3,4,5,9,11,12,14],[3,4,6,8,10,11,13],[3,4,7,8,12,13,14],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13],[4,5,6,7,8,9,10]]; G[2525]:=Group([(1,3)(6,7)(8,9)(13,14)]); # Design 2526: autom. group order 2, simple, residual B[2526]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,10,12,14],[1,3,6,7,8,9,12],[1,3,6,7,11,13,14],[1,4,5,8,11,12,13],[1,4,6,9,10,11,14],[1,4,7,8,12,13,14],[1,5,7,9,10,11,13],[1,5,7,9,10,12,14],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,6,7,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,9,11,12,13],[2,5,7,8,11,12,14],[3,4,5,9,11,12,14],[3,4,6,9,12,13,14],[3,4,7,8,10,11,13],[3,5,6,8,10,11,14],[3,5,6,8,10,12,13],[4,5,6,7,8,9,10]]; G[2526]:=Group([(1,3)(6,7)(8,9)(13,14)]); # Design 2527: autom. group order 2, simple, residual B[2527]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,10,12,14],[1,3,6,7,8,9,12],[1,3,6,7,11,13,14],[1,4,5,8,11,12,13],[1,4,6,9,10,11,14],[1,4,7,8,12,13,14],[1,5,7,9,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,6,7,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,9,11,12,13],[2,5,7,8,11,12,14],[3,4,5,9,11,12,14],[3,4,6,9,12,13,14],[3,4,7,8,10,11,13],[3,5,6,8,10,11,13],[3,5,6,8,10,12,14],[4,5,6,7,8,9,10]]; G[2527]:=Group([(1,3)(6,7)(8,9)(13,14)]); # Design 2528: autom. group order 2, simple, residual B[2528]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,10,12,14],[1,3,6,7,8,9,12],[1,3,6,7,11,13,14],[1,4,5,8,11,12,13],[1,4,6,9,12,13,14],[1,4,7,8,10,11,14],[1,5,7,9,10,11,13],[1,5,7,9,10,12,14],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,6,7,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,9,11,12,14],[2,5,7,8,11,12,13],[3,4,5,9,11,12,14],[3,4,6,9,10,11,13],[3,4,7,8,12,13,14],[3,5,6,8,10,11,14],[3,5,6,8,10,12,13],[4,5,6,7,8,9,10]]; G[2528]:=Group([(1,3)(6,7)(8,9)(13,14)]); # Design 2529: autom. group order 2, simple, residual B[2529]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,10,12,14],[1,3,6,7,8,9,12],[1,3,6,7,11,13,14],[1,4,5,8,11,12,13],[1,4,6,9,12,13,14],[1,4,7,8,10,11,14],[1,5,7,9,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,6,7,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,9,11,12,14],[2,5,7,8,11,12,13],[3,4,5,9,11,12,14],[3,4,6,9,10,11,13],[3,4,7,8,12,13,14],[3,5,6,8,10,11,13],[3,5,6,8,10,12,14],[4,5,6,7,8,9,10]]; G[2529]:=Group([(1,3)(6,7)(8,9)(13,14)]); # Design 2530: autom. group order 2, simple, residual B[2530]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,10,11,13],[1,2,6,9,11,12,14],[1,3,6,7,8,9,12],[1,3,6,7,12,13,14],[1,4,5,8,11,12,13],[1,4,6,9,11,13,14],[1,4,7,8,9,10,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,11,12,13],[2,3,7,9,10,11,14],[2,4,5,6,7,13,14],[2,4,6,8,10,12,14],[2,4,7,9,10,12,13],[2,5,6,7,8,9,11],[2,5,8,9,12,13,14],[3,4,5,9,11,12,14],[3,4,6,8,9,10,13],[3,4,7,8,11,13,14],[3,5,6,8,10,12,14],[3,5,6,9,10,11,13],[4,5,6,7,10,11,12]]; G[2530]:=Group([(1,3)(6,7)(8,9)(13,14)]); # Design 2531: autom. group order 2, simple, residual B[2531]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,10,11,13],[1,2,6,9,11,12,14],[1,3,6,7,8,9,12],[1,3,6,7,12,13,14],[1,4,5,8,11,12,14],[1,4,6,9,11,13,14],[1,4,7,8,9,10,13],[1,5,7,8,10,12,14],[1,5,7,9,10,11,13],[2,3,7,8,11,12,13],[2,3,7,9,10,11,14],[2,4,5,6,7,13,14],[2,4,6,8,10,12,13],[2,4,7,9,10,12,14],[2,5,6,7,8,9,11],[2,5,8,9,12,13,14],[3,4,5,9,11,12,13],[3,4,6,8,9,10,14],[3,4,7,8,11,13,14],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13],[4,5,6,7,10,11,12]]; G[2531]:=Group([(1,3)(6,7)(8,9)(13,14)]); # Design 2532: autom. group order 2, simple, residual B[2532]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,10,11,13],[1,2,6,9,11,12,14],[1,3,6,7,8,9,12],[1,3,6,7,12,13,14],[1,4,5,8,11,12,14],[1,4,6,8,9,10,13],[1,4,7,9,11,13,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,11,12,13],[2,3,7,9,10,11,14],[2,4,5,6,7,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,12,13],[2,5,6,7,8,9,11],[2,5,8,9,12,13,14],[3,4,5,9,11,12,13],[3,4,6,8,11,13,14],[3,4,7,8,9,10,14],[3,5,6,8,10,12,14],[3,5,6,9,10,11,13],[4,5,6,7,10,11,12]]; G[2532]:=Group([(1,3)(6,7)(8,9)(13,14)]); # Design 2533: autom. group order 2, simple, residual B[2533]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,10,11,13],[1,2,6,9,11,12,14],[1,3,6,7,8,9,12],[1,3,6,7,12,13,14],[1,4,5,8,11,12,13],[1,4,6,8,9,10,14],[1,4,7,9,11,13,14],[1,5,7,8,10,12,14],[1,5,7,9,10,11,13],[2,3,7,8,11,12,13],[2,3,7,9,10,11,14],[2,4,5,6,7,13,14],[2,4,6,9,10,12,13],[2,4,7,8,10,12,14],[2,5,6,7,8,9,11],[2,5,8,9,12,13,14],[3,4,5,9,11,12,14],[3,4,6,8,11,13,14],[3,4,7,8,9,10,13],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13],[4,5,6,7,10,11,12]]; G[2533]:=Group([(1,3)(6,7)(8,9)(13,14)]); # Design 2534: autom. group order 2, simple, residual B[2534]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,10,11,13],[1,2,6,9,11,12,13],[1,3,6,7,8,9,12],[1,3,6,7,12,13,14],[1,4,5,8,11,12,14],[1,4,6,8,9,10,14],[1,4,7,8,11,13,14],[1,5,7,9,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,11,12,14],[2,3,7,9,10,11,14],[2,4,5,6,7,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,12,13],[2,5,6,7,8,9,11],[2,5,8,9,12,13,14],[3,4,5,9,11,12,13],[3,4,6,9,11,13,14],[3,4,7,8,9,10,13],[3,5,6,8,10,11,13],[3,5,6,8,10,12,14],[4,5,6,7,10,11,12]]; G[2534]:=Group([(1,3)(6,7)(8,9)(13,14)]); # Design 2535: autom. group order 2, simple, residual B[2535]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,10,11,13],[1,2,6,8,11,12,14],[1,3,6,7,8,9,12],[1,3,6,7,12,13,14],[1,4,5,9,11,12,14],[1,4,6,9,11,13,14],[1,4,7,8,9,10,14],[1,5,7,8,10,11,13],[1,5,7,9,10,12,13],[2,3,7,9,10,11,14],[2,3,7,9,11,12,13],[2,4,5,6,7,13,14],[2,4,6,9,10,12,13],[2,4,7,8,10,12,14],[2,5,6,7,8,9,11],[2,5,8,9,12,13,14],[3,4,5,8,11,12,13],[3,4,6,8,9,10,13],[3,4,7,8,11,13,14],[3,5,6,8,10,12,14],[3,5,6,9,10,11,14],[4,5,6,7,10,11,12]]; G[2535]:=Group([(1,3)(6,7)(8,9)(13,14)]); # Design 2536: autom. group order 2, simple, residual B[2536]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,10,11,14],[1,3,6,7,8,9,14],[1,3,6,7,11,12,13],[1,4,5,8,12,13,14],[1,4,6,9,10,12,13],[1,4,7,9,10,11,14],[1,5,7,8,10,12,13],[1,5,7,9,11,12,14],[2,3,7,8,9,12,13],[2,3,7,9,10,12,14],[2,4,5,6,7,11,12],[2,4,6,9,12,13,14],[2,4,7,8,11,13,14],[2,5,6,7,10,13,14],[2,5,8,9,10,11,12],[3,4,5,9,11,13,14],[3,4,6,8,10,12,14],[3,4,7,8,10,11,13],[3,5,6,8,11,12,14],[3,5,6,9,10,11,13],[4,5,6,7,8,9,10]]; G[2536]:=Group([(1,3)(6,7)(8,9)(11,12)]); # Design 2537: autom. group order 2, simple, residual B[2537]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,10,11,14],[1,3,6,7,8,9,14],[1,3,6,7,11,12,13],[1,4,5,8,12,13,14],[1,4,6,9,10,12,14],[1,4,7,9,10,11,13],[1,5,7,8,10,12,13],[1,5,7,9,11,12,14],[2,3,7,8,9,12,13],[2,3,7,9,10,12,14],[2,4,5,6,7,11,12],[2,4,6,9,12,13,14],[2,4,7,8,11,13,14],[2,5,6,7,10,13,14],[2,5,8,9,10,11,12],[3,4,5,9,11,13,14],[3,4,6,8,10,12,13],[3,4,7,8,10,11,14],[3,5,6,8,11,12,14],[3,5,6,9,10,11,13],[4,5,6,7,8,9,10]]; G[2537]:=Group([(1,3)(6,7)(8,9)(11,12)]); # Design 2538: autom. group order 2, simple, residual B[2538]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,10,12,14],[1,3,6,7,8,9,14],[1,3,6,7,11,12,13],[1,4,5,8,11,13,14],[1,4,6,9,10,12,13],[1,4,7,9,10,12,14],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,7,8,9,12,13],[2,3,7,9,10,11,14],[2,4,5,6,7,11,12],[2,4,6,9,11,13,14],[2,4,7,8,12,13,14],[2,5,6,7,10,13,14],[2,5,8,9,10,11,12],[3,4,5,9,12,13,14],[3,4,6,8,10,11,14],[3,4,7,8,10,11,13],[3,5,6,8,10,12,13],[3,5,6,9,11,12,14],[4,5,6,7,8,9,10]]; G[2538]:=Group([(1,3)(6,7)(8,9)(11,12)]); # Design 2539: autom. group order 2, simple, residual B[2539]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,10,12,14],[1,3,6,7,8,9,14],[1,3,6,7,11,12,13],[1,4,5,8,11,13,14],[1,4,6,9,10,12,14],[1,4,7,9,10,12,13],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,7,8,9,12,13],[2,3,7,9,10,11,14],[2,4,5,6,7,11,12],[2,4,6,9,11,13,14],[2,4,7,8,12,13,14],[2,5,6,7,10,13,14],[2,5,8,9,10,11,12],[3,4,5,9,12,13,14],[3,4,6,8,10,11,13],[3,4,7,8,10,11,14],[3,5,6,8,10,12,13],[3,5,6,9,11,12,14],[4,5,6,7,8,9,10]]; G[2539]:=Group([(1,3)(6,7)(8,9)(11,12)]); # Design 2540: autom. group order 2, simple, residual B[2540]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,10,12,14],[1,3,6,7,8,9,14],[1,3,6,7,11,12,13],[1,4,5,8,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,11,14],[1,5,7,9,10,12,13],[1,5,7,9,11,12,14],[2,3,7,8,9,12,13],[2,3,7,9,10,11,14],[2,4,5,6,7,11,12],[2,4,6,9,12,13,14],[2,4,7,8,11,13,14],[2,5,6,7,10,13,14],[2,5,8,9,10,11,12],[3,4,5,9,11,13,14],[3,4,6,9,10,12,14],[3,4,7,8,10,12,13],[3,5,6,8,10,11,13],[3,5,6,8,11,12,14],[4,5,6,7,8,9,10]]; G[2540]:=Group([(1,3)(6,7)(8,9)(11,12)]); # Design 2541: autom. group order 2, simple, residual B[2541]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,10,12,14],[1,3,6,7,8,9,14],[1,3,6,7,11,12,13],[1,4,5,8,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,10,11,13],[1,5,7,9,10,12,13],[1,5,7,9,11,12,14],[2,3,7,8,9,12,13],[2,3,7,9,10,11,14],[2,4,5,6,7,11,12],[2,4,6,9,12,13,14],[2,4,7,8,11,13,14],[2,5,6,7,10,13,14],[2,5,8,9,10,11,12],[3,4,5,9,11,13,14],[3,4,6,9,10,12,13],[3,4,7,8,10,12,14],[3,5,6,8,10,11,13],[3,5,6,8,11,12,14],[4,5,6,7,8,9,10]]; G[2541]:=Group([(1,3)(6,7)(8,9)(11,12)]); # Design 2542: autom. group order 2, simple B[2542]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,8,9,10,13],[1,3,6,11,12,13,14],[1,4,5,8,9,11,14],[1,4,6,8,10,12,14],[1,4,7,9,10,11,12],[1,5,7,8,10,12,13],[1,5,7,9,11,13,14],[2,3,7,8,9,12,14],[2,3,8,9,11,12,13],[2,4,5,6,12,13,14],[2,4,7,9,10,13,14],[2,4,8,10,11,13,14],[2,5,6,7,8,10,11],[2,5,6,9,10,11,12],[3,4,5,7,11,12,13],[3,4,6,7,8,11,14],[3,4,6,7,9,10,13],[3,5,6,9,10,11,14],[3,5,7,8,10,12,14],[4,5,6,8,9,12,13]]; G[2542]:=Group([(1,13)(3,14)(5,10)(6,11)(7,8)]); # Design 2543: autom. group order 2, simple B[2543]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,8,9,10,13],[1,3,6,11,12,13,14],[1,4,5,8,11,12,14],[1,4,6,8,9,10,14],[1,4,7,9,10,11,12],[1,5,7,8,10,12,13],[1,5,7,9,11,13,14],[2,3,7,8,9,12,14],[2,3,8,9,11,12,13],[2,4,5,6,12,13,14],[2,4,7,9,10,13,14],[2,4,8,10,11,13,14],[2,5,6,7,8,10,11],[2,5,6,9,10,11,12],[3,4,5,7,9,11,13],[3,4,6,7,8,11,14],[3,4,6,7,10,12,13],[3,5,6,9,10,11,14],[3,5,7,8,10,12,14],[4,5,6,8,9,12,13]]; G[2543]:=Group([(1,13)(3,14)(5,10)(6,11)(7,8)]); # Design 2544: autom. group order 2, simple B[2544]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,8,10,12,13],[1,3,6,9,11,13,14],[1,4,5,8,9,11,14],[1,4,6,8,10,12,14],[1,4,7,9,10,11,12],[1,5,7,8,9,10,13],[1,5,7,11,12,13,14],[2,3,7,8,9,12,14],[2,3,8,9,11,12,13],[2,4,5,6,12,13,14],[2,4,7,9,10,13,14],[2,4,8,10,11,13,14],[2,5,6,7,8,10,11],[2,5,6,9,10,11,12],[3,4,5,7,11,12,13],[3,4,6,7,8,11,14],[3,4,6,7,9,10,13],[3,5,6,9,10,11,14],[3,5,7,8,10,12,14],[4,5,6,8,9,12,13]]; G[2544]:=Group([(1,13)(3,14)(5,10)(6,11)(7,8)]); # Design 2545: autom. group order 2, simple B[2545]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,8,10,12,13],[1,3,6,9,11,13,14],[1,4,5,8,11,12,14],[1,4,6,8,9,10,14],[1,4,7,9,10,11,12],[1,5,7,8,9,10,13],[1,5,7,11,12,13,14],[2,3,7,8,9,12,14],[2,3,8,9,11,12,13],[2,4,5,6,12,13,14],[2,4,7,9,10,13,14],[2,4,8,10,11,13,14],[2,5,6,7,8,10,11],[2,5,6,9,10,11,12],[3,4,5,7,9,11,13],[3,4,6,7,8,11,14],[3,4,6,7,10,12,13],[3,5,6,9,10,11,14],[3,5,7,8,10,12,14],[4,5,6,8,9,12,13]]; G[2545]:=Group([(1,13)(3,14)(5,10)(6,11)(7,8)]); # Design 2546: autom. group order 2, simple, residual B[2546]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,10,11,13],[1,2,6,8,11,12,14],[1,3,6,7,9,11,13],[1,3,6,8,12,13,14],[1,4,5,7,8,11,14],[1,4,6,8,9,10,12],[1,4,7,9,10,12,14],[1,5,7,9,12,13,14],[1,5,8,9,10,11,13],[2,3,7,8,9,10,14],[2,3,7,8,9,12,13],[2,4,5,6,9,12,13],[2,4,7,8,11,12,13],[2,4,9,10,11,13,14],[2,5,6,7,10,12,14],[2,5,6,8,9,11,14],[3,4,5,11,12,13,14],[3,4,6,7,9,11,14],[3,4,6,8,10,13,14],[3,5,6,9,10,11,12],[3,5,7,8,10,11,12],[4,5,6,7,8,10,13]]; G[2546]:=Group([(1,12)(2,11)(4,10)(6,8)]); # Design 2547: autom. group order 2, simple B[2547]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,11],[1,2,6,9,11,12,13],[1,3,6,7,9,12,13],[1,3,6,8,9,12,14],[1,4,5,7,9,11,14],[1,4,6,10,11,13,14],[1,4,7,8,10,12,14],[1,5,7,8,12,13,14],[1,5,8,9,10,11,13],[2,3,7,8,11,13,14],[2,3,7,9,10,13,14],[2,4,5,6,12,13,14],[2,4,7,9,11,12,14],[2,4,8,9,10,12,13],[2,5,6,7,8,10,12],[2,5,6,8,9,11,14],[3,4,5,8,11,12,13],[3,4,6,7,8,11,13],[3,4,6,8,9,10,14],[3,5,6,10,11,12,14],[3,5,7,9,10,11,12],[4,5,6,7,9,10,13]]; G[2547]:=Group([(1,12)(2,11)(4,10)(6,9)(8,14)]); # Design 2548: autom. group order 2, simple, residual B[2548]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,11],[1,2,6,9,11,12,13],[1,3,6,7,11,13,14],[1,3,6,8,9,12,14],[1,4,5,7,9,11,14],[1,4,6,9,10,12,13],[1,4,7,8,10,12,14],[1,5,7,8,12,13,14],[1,5,8,9,10,11,13],[2,3,7,8,9,12,13],[2,3,7,9,10,13,14],[2,4,5,6,12,13,14],[2,4,7,9,11,12,14],[2,4,8,10,11,13,14],[2,5,6,7,8,10,12],[2,5,6,8,9,11,14],[3,4,5,8,11,12,13],[3,4,6,7,8,11,13],[3,4,6,8,9,10,14],[3,5,6,10,11,12,14],[3,5,7,9,10,11,12],[4,5,6,7,9,10,13]]; G[2548]:=Group([(1,12)(2,11)(4,10)(6,9)(8,14)]); # Design 2549: autom. group order 2, simple B[2549]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,14],[1,3,6,7,10,11,14],[1,3,6,8,12,13,14],[1,4,5,7,11,12,13],[1,4,6,8,9,10,13],[1,4,7,8,9,10,12],[1,5,7,9,12,13,14],[1,5,8,9,10,11,14],[2,3,7,8,9,11,13],[2,3,7,8,9,12,14],[2,4,5,6,9,13,14],[2,4,7,10,12,13,14],[2,4,8,10,11,13,14],[2,5,6,7,8,10,12],[2,5,6,9,10,11,12],[3,4,5,8,11,12,14],[3,4,6,7,9,10,14],[3,4,6,9,11,12,13],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,6,7,8,11,14]]; G[2549]:=Group([(1,14)(3,13)(5,10)(6,12)(9,11)]); # Design 2550: autom. group order 2, simple B[2550]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,13],[1,3,6,7,10,12,14],[1,3,6,8,11,13,14],[1,4,5,7,11,12,14],[1,4,6,8,9,10,14],[1,4,7,8,9,12,13],[1,5,7,9,10,12,13],[1,5,8,9,10,11,14],[2,3,7,8,9,10,11],[2,3,7,8,9,12,14],[2,4,5,6,9,13,14],[2,4,7,10,11,13,14],[2,4,8,10,12,13,14],[2,5,6,7,8,12,14],[2,5,6,9,10,11,12],[3,4,5,8,11,12,13],[3,4,6,7,9,10,13],[3,4,6,9,11,12,14],[3,5,6,8,10,12,13],[3,5,7,9,11,13,14],[4,5,6,7,8,10,11]]; G[2550]:=Group([(1,13)(3,14)(5,10)(6,11)(9,12)]); # Design 2551: autom. group order 2, simple B[2551]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,14],[1,3,6,7,12,13,14],[1,3,6,8,10,11,14],[1,4,5,7,11,12,13],[1,4,6,8,9,10,13],[1,4,7,8,9,10,12],[1,5,7,9,10,11,14],[1,5,8,9,12,13,14],[2,3,7,8,9,11,13],[2,3,7,8,9,12,14],[2,4,5,6,9,13,14],[2,4,7,10,12,13,14],[2,4,8,10,11,13,14],[2,5,6,7,8,10,12],[2,5,6,9,10,11,12],[3,4,5,8,11,12,14],[3,4,6,7,9,10,14],[3,4,6,9,11,12,13],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,6,7,8,11,14]]; G[2551]:=Group([(1,14)(3,13)(5,10)(6,12)(9,11)]); # Design 2552: autom. group order 2, simple, residual B[2552]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,12],[1,2,6,9,10,11,13],[1,3,6,7,11,13,14],[1,3,6,8,9,12,14],[1,4,5,7,8,11,14],[1,4,6,8,10,12,13],[1,4,7,9,10,12,14],[1,5,7,9,12,13,14],[1,5,8,9,10,11,13],[2,3,7,8,9,12,13],[2,3,7,8,10,13,14],[2,4,5,6,12,13,14],[2,4,7,9,10,11,14],[2,4,8,11,12,13,14],[2,5,6,7,9,10,12],[2,5,6,8,9,11,14],[3,4,5,9,11,12,13],[3,4,6,7,9,11,13],[3,4,6,8,9,10,14],[3,5,6,10,11,12,14],[3,5,7,8,10,11,12],[4,5,6,7,8,10,13]]; G[2552]:=Group([(1,12)(2,11)(4,10)(6,8)(9,14)]); # Design 2553: autom. group order 2, simple B[2553]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,14],[1,3,6,7,10,11,14],[1,3,6,8,12,13,14],[1,4,5,8,11,12,13],[1,4,6,7,9,10,13],[1,4,7,8,9,10,12],[1,5,7,9,12,13,14],[1,5,8,9,10,11,14],[2,3,7,8,9,11,13],[2,3,7,8,9,12,14],[2,4,5,6,9,13,14],[2,4,7,10,12,13,14],[2,4,8,10,11,13,14],[2,5,6,7,8,10,12],[2,5,6,9,10,11,12],[3,4,5,7,11,12,14],[3,4,6,8,9,10,14],[3,4,6,9,11,12,13],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,6,7,8,11,14]]; G[2553]:=Group([(1,14)(3,13)(5,10)(6,12)(9,11)]); # Design 2554: autom. group order 2, simple B[2554]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,13],[1,3,6,7,10,12,14],[1,3,6,8,11,13,14],[1,4,5,8,11,12,14],[1,4,6,7,9,10,14],[1,4,7,8,9,12,13],[1,5,7,9,10,12,13],[1,5,8,9,10,11,14],[2,3,7,8,9,10,11],[2,3,7,8,9,12,14],[2,4,5,6,9,13,14],[2,4,7,10,11,13,14],[2,4,8,10,12,13,14],[2,5,6,7,8,12,14],[2,5,6,9,10,11,12],[3,4,5,7,11,12,13],[3,4,6,8,9,10,13],[3,4,6,9,11,12,14],[3,5,6,8,10,12,13],[3,5,7,9,11,13,14],[4,5,6,7,8,10,11]]; G[2554]:=Group([(1,13)(3,14)(5,10)(6,11)(9,12)]); # Design 2555: autom. group order 2, simple B[2555]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,14],[1,3,6,7,12,13,14],[1,3,6,8,10,11,14],[1,4,5,8,11,12,13],[1,4,6,7,9,10,13],[1,4,7,8,9,10,12],[1,5,7,9,10,11,14],[1,5,8,9,12,13,14],[2,3,7,8,9,11,13],[2,3,7,8,9,12,14],[2,4,5,6,9,13,14],[2,4,7,10,12,13,14],[2,4,8,10,11,13,14],[2,5,6,7,8,10,12],[2,5,6,9,10,11,12],[3,4,5,7,11,12,14],[3,4,6,8,9,10,14],[3,4,6,9,11,12,13],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,6,7,8,11,14]]; G[2555]:=Group([(1,14)(3,13)(5,10)(6,12)(9,11)]); # Design 2556: autom. group order 2, simple, residual B[2556]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,10,11,13],[1,2,6,8,11,12,14],[1,3,6,7,9,11,13],[1,3,6,8,12,13,14],[1,4,5,8,9,11,13],[1,4,6,8,9,10,12],[1,4,7,9,10,12,14],[1,5,7,8,10,11,14],[1,5,7,9,12,13,14],[2,3,7,8,9,10,14],[2,3,7,8,9,12,13],[2,4,5,6,7,12,14],[2,4,7,8,11,12,13],[2,4,9,10,11,13,14],[2,5,6,8,9,11,14],[2,5,6,9,10,12,13],[3,4,5,11,12,13,14],[3,4,6,7,9,11,14],[3,4,6,8,10,13,14],[3,5,6,9,10,11,12],[3,5,7,8,10,11,12],[4,5,6,7,8,10,13]]; G[2556]:=Group([(1,12)(2,11)(4,10)(6,8)]); # Design 2557: autom. group order 2, simple B[2557]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,11],[1,2,6,9,11,12,13],[1,3,6,7,9,12,13],[1,3,6,8,9,12,14],[1,4,5,9,11,13,14],[1,4,6,10,11,13,14],[1,4,7,8,10,12,14],[1,5,7,8,9,10,11],[1,5,7,8,12,13,14],[2,3,7,8,11,13,14],[2,3,7,9,10,13,14],[2,4,5,6,7,12,14],[2,4,7,9,11,12,14],[2,4,8,9,10,12,13],[2,5,6,8,9,11,14],[2,5,6,8,10,12,13],[3,4,5,8,11,12,13],[3,4,6,7,8,11,13],[3,4,6,8,9,10,14],[3,5,6,10,11,12,14],[3,5,7,9,10,11,12],[4,5,6,7,9,10,13]]; G[2557]:=Group([(1,12)(2,11)(4,10)(6,9)(8,14)]); # Design 2558: autom. group order 2, simple, residual B[2558]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,11],[1,2,6,9,11,12,13],[1,3,6,7,11,13,14],[1,3,6,8,9,12,14],[1,4,5,9,11,13,14],[1,4,6,9,10,12,13],[1,4,7,8,10,12,14],[1,5,7,8,9,10,11],[1,5,7,8,12,13,14],[2,3,7,8,9,12,13],[2,3,7,9,10,13,14],[2,4,5,6,7,12,14],[2,4,7,9,11,12,14],[2,4,8,10,11,13,14],[2,5,6,8,9,11,14],[2,5,6,8,10,12,13],[3,4,5,8,11,12,13],[3,4,6,7,8,11,13],[3,4,6,8,9,10,14],[3,5,6,10,11,12,14],[3,5,7,9,10,11,12],[4,5,6,7,9,10,13]]; G[2558]:=Group([(1,12)(2,11)(4,10)(6,9)(8,14)]); # Design 2559: autom. group order 2, simple, residual B[2559]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,12],[1,2,6,9,10,11,13],[1,3,6,7,11,13,14],[1,3,6,8,9,12,14],[1,4,5,8,11,13,14],[1,4,6,8,10,12,13],[1,4,7,9,10,12,14],[1,5,7,8,9,10,11],[1,5,7,9,12,13,14],[2,3,7,8,9,12,13],[2,3,7,8,10,13,14],[2,4,5,6,7,12,14],[2,4,7,9,10,11,14],[2,4,8,11,12,13,14],[2,5,6,8,9,11,14],[2,5,6,9,10,12,13],[3,4,5,9,11,12,13],[3,4,6,7,9,11,13],[3,4,6,8,9,10,14],[3,5,6,10,11,12,14],[3,5,7,8,10,11,12],[4,5,6,7,8,10,13]]; G[2559]:=Group([(1,12)(2,11)(4,10)(6,8)(9,14)]); # Design 2560: autom. group order 2, simple B[2560]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,13],[1,3,6,8,10,12,14],[1,3,6,9,11,13,14],[1,4,5,7,9,11,14],[1,4,6,7,10,12,14],[1,4,7,8,9,12,13],[1,5,7,8,10,12,13],[1,5,8,9,10,11,14],[2,3,7,8,9,12,14],[2,3,7,9,10,11,12],[2,4,5,6,12,13,14],[2,4,7,9,10,13,14],[2,4,8,10,11,13,14],[2,5,6,7,8,10,11],[2,5,6,8,9,12,14],[3,4,5,8,11,12,13],[3,4,6,7,8,11,14],[3,4,6,8,9,10,13],[3,5,6,7,9,10,13],[3,5,7,11,12,13,14],[4,5,6,9,10,11,12]]; G[2560]:=Group([(1,13)(3,14)(5,10)(6,11)(7,8)]); # Design 2561: autom. group order 2, simple B[2561]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,13],[1,3,6,8,10,12,14],[1,3,6,9,11,13,14],[1,4,5,7,11,12,14],[1,4,6,7,9,10,14],[1,4,7,8,9,12,13],[1,5,7,8,10,12,13],[1,5,8,9,10,11,14],[2,3,7,8,9,12,14],[2,3,7,9,10,11,12],[2,4,5,6,12,13,14],[2,4,7,9,10,13,14],[2,4,8,10,11,13,14],[2,5,6,7,8,10,11],[2,5,6,8,9,12,14],[3,4,5,8,9,11,13],[3,4,6,7,8,11,14],[3,4,6,8,10,12,13],[3,5,6,7,9,10,13],[3,5,7,11,12,13,14],[4,5,6,9,10,11,12]]; G[2561]:=Group([(1,13)(3,14)(5,10)(6,11)(7,8)]); # Design 2562: autom. group order 2, simple, residual B[2562]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,12],[1,2,6,10,11,13,14],[1,3,6,7,8,12,13],[1,3,6,7,9,11,14],[1,4,5,8,9,11,13],[1,4,6,8,10,12,14],[1,4,7,9,10,12,13],[1,5,7,8,10,11,14],[1,5,7,9,12,13,14],[2,3,7,8,9,10,14],[2,3,8,9,12,13,14],[2,4,5,6,12,13,14],[2,4,7,8,11,12,14],[2,4,7,9,10,11,13],[2,5,6,7,8,11,13],[2,5,6,7,9,10,12],[3,4,5,7,11,12,14],[3,4,6,7,8,10,13],[3,4,6,9,11,13,14],[3,5,6,9,10,11,12],[3,5,8,10,11,12,13],[4,5,6,8,9,10,14]]; G[2562]:=Group([(1,12)(2,11)(4,10)(6,8)(7,13)]); # Design 2563: autom. group order 2, simple, residual B[2563]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,12],[1,2,6,10,11,13,14],[1,3,6,7,8,12,13],[1,3,6,7,9,11,14],[1,4,5,8,11,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,12,13],[1,5,7,8,9,10,11],[1,5,7,9,12,13,14],[2,3,7,8,9,10,14],[2,3,8,9,12,13,14],[2,4,5,6,9,12,13],[2,4,7,8,11,12,14],[2,4,7,9,10,11,13],[2,5,6,7,8,11,13],[2,5,6,7,10,12,14],[3,4,5,7,11,12,14],[3,4,6,7,8,10,13],[3,4,6,9,11,13,14],[3,5,6,9,10,11,12],[3,5,8,10,11,12,13],[4,5,6,8,9,10,14]]; G[2563]:=Group([(1,12)(2,11)(4,10)(6,8)(7,13)]); # Design 2564: autom. group order 2, simple, residual B[2564]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,11,12,13],[1,2,6,9,10,11,14],[1,3,6,7,8,12,14],[1,3,6,7,9,11,13],[1,4,5,8,9,11,14],[1,4,6,8,10,12,13],[1,4,7,9,10,12,14],[1,5,7,8,10,11,13],[1,5,7,9,12,13,14],[2,3,7,8,9,10,13],[2,3,8,9,12,13,14],[2,4,5,6,12,13,14],[2,4,7,8,9,11,12],[2,4,7,10,11,13,14],[2,5,6,7,8,11,14],[2,5,6,7,9,10,12],[3,4,5,7,11,12,13],[3,4,6,7,8,10,14],[3,4,6,9,11,13,14],[3,5,6,9,10,11,12],[3,5,8,10,11,12,14],[4,5,6,8,9,10,13]]; G[2564]:=Group([(1,12)(2,11)(4,10)(6,8)(7,14)]); # Design 2565: autom. group order 2, simple, residual B[2565]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,11,12,13],[1,2,6,9,10,11,14],[1,3,6,7,8,12,14],[1,3,6,7,9,11,13],[1,4,5,8,11,13,14],[1,4,6,8,10,12,13],[1,4,7,9,10,12,14],[1,5,7,8,9,10,11],[1,5,7,9,12,13,14],[2,3,7,8,9,10,13],[2,3,8,9,12,13,14],[2,4,5,6,9,12,14],[2,4,7,8,9,11,12],[2,4,7,10,11,13,14],[2,5,6,7,8,11,14],[2,5,6,7,10,12,13],[3,4,5,7,11,12,13],[3,4,6,7,8,10,14],[3,4,6,9,11,13,14],[3,5,6,9,10,11,12],[3,5,8,10,11,12,14],[4,5,6,8,9,10,13]]; G[2565]:=Group([(1,12)(2,11)(4,10)(6,8)(7,14)]); # Design 2566: autom. group order 2, simple, residual B[2566]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,10,11,13],[1,2,6,9,11,12,14],[1,3,6,7,8,11,13],[1,3,6,9,12,13,14],[1,4,5,7,9,11,13],[1,4,6,7,9,10,12],[1,4,7,8,10,12,14],[1,5,7,8,12,13,14],[1,5,8,9,10,11,14],[2,3,7,8,9,10,14],[2,3,7,8,9,12,13],[2,4,5,6,8,12,14],[2,4,7,10,11,13,14],[2,4,8,9,11,12,13],[2,5,6,7,9,11,14],[2,5,6,7,10,12,13],[3,4,5,11,12,13,14],[3,4,6,7,8,11,14],[3,4,6,9,10,13,14],[3,5,6,8,10,11,12],[3,5,7,9,10,11,12],[4,5,6,8,9,10,13]]; G[2566]:=Group([(1,12)(2,11)(4,10)(6,9)]); # Design 2567: autom. group order 2, simple, residual B[2567]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,10,11,13],[1,2,6,9,11,12,14],[1,3,6,7,8,11,13],[1,3,6,9,12,13,14],[1,4,5,8,9,11,14],[1,4,6,7,9,10,12],[1,4,7,8,10,12,14],[1,5,7,8,12,13,14],[1,5,7,9,10,11,13],[2,3,7,8,9,10,14],[2,3,7,8,9,12,13],[2,4,5,6,7,12,13],[2,4,7,10,11,13,14],[2,4,8,9,11,12,13],[2,5,6,7,9,11,14],[2,5,6,8,10,12,14],[3,4,5,11,12,13,14],[3,4,6,7,8,11,14],[3,4,6,9,10,13,14],[3,5,6,8,10,11,12],[3,5,7,9,10,11,12],[4,5,6,8,9,10,13]]; G[2567]:=Group([(1,12)(2,11)(4,10)(6,9)]); # Design 2568: autom. group order 2, simple B[2568]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,11,12,13],[1,2,6,9,10,11,14],[1,3,6,7,8,12,14],[1,3,6,8,9,12,13],[1,4,5,8,9,11,14],[1,4,6,7,10,11,13],[1,4,7,9,10,12,14],[1,5,7,8,10,11,13],[1,5,7,9,12,13,14],[2,3,7,8,9,10,13],[2,3,7,9,11,13,14],[2,4,5,6,12,13,14],[2,4,7,8,9,11,12],[2,4,8,10,12,13,14],[2,5,6,7,8,11,14],[2,5,6,7,9,10,12],[3,4,5,7,11,12,13],[3,4,6,7,8,10,14],[3,4,6,9,11,13,14],[3,5,6,9,10,11,12],[3,5,8,10,11,12,14],[4,5,6,8,9,10,13]]; G[2568]:=Group([(1,12)(2,11)(4,10)(6,8)(7,14)]); # Design 2569: autom. group order 2, simple B[2569]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,11,12,13],[1,2,6,9,10,11,14],[1,3,6,7,8,12,14],[1,3,6,8,9,12,13],[1,4,5,8,11,13,14],[1,4,6,7,10,11,13],[1,4,7,9,10,12,14],[1,5,7,8,9,10,11],[1,5,7,9,12,13,14],[2,3,7,8,9,10,13],[2,3,7,9,11,13,14],[2,4,5,6,9,12,14],[2,4,7,8,9,11,12],[2,4,8,10,12,13,14],[2,5,6,7,8,11,14],[2,5,6,7,10,12,13],[3,4,5,7,11,12,13],[3,4,6,7,8,10,14],[3,4,6,9,11,13,14],[3,5,6,9,10,11,12],[3,5,8,10,11,12,14],[4,5,6,8,9,10,13]]; G[2569]:=Group([(1,12)(2,11)(4,10)(6,8)(7,14)]); # Design 2570: autom. group order 2, simple B[2570]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,7,11,13,14],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,6,9,11,14],[1,4,6,8,10,12,14],[1,4,7,9,10,12,13],[1,5,7,8,9,12,14],[1,5,8,9,10,11,13],[2,3,6,8,9,12,13],[2,3,7,8,9,11,14],[2,4,5,8,11,12,13],[2,4,6,9,12,13,14],[2,4,7,8,9,10,14],[2,5,6,9,10,11,12],[2,5,7,10,11,12,14],[3,4,5,7,12,13,14],[3,4,6,8,10,11,14],[3,4,7,9,10,11,13],[3,5,6,7,8,10,12],[3,5,6,9,10,13,14],[4,5,6,7,8,11,13]]; G[2570]:=Group([(1,12)(3,11)(4,10)(7,9)(8,14)]); # Design 2571: autom. group order 2, simple, residual B[2571]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,12,13],[1,3,8,9,10,11,14],[1,4,5,6,8,12,14],[1,4,6,9,10,11,13],[1,4,7,9,11,12,14],[1,5,7,8,11,13,14],[1,5,8,9,10,12,13],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,9,10,13,14],[2,4,7,8,10,13,14],[2,5,6,8,10,11,12],[2,5,7,9,10,11,12],[3,4,5,7,9,11,13],[3,4,6,8,11,12,13],[3,4,7,8,10,12,14],[3,5,6,7,10,11,14],[3,5,6,9,12,13,14],[4,5,6,7,8,9,10]]; G[2571]:=Group([(1,11)(3,12)(4,10)(7,8)]); # Design 2572: autom. group order 2, simple B[2572]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,12,13,14],[1,3,6,7,9,10,12],[1,3,8,10,11,13,14],[1,4,5,6,8,12,14],[1,4,6,9,10,11,14],[1,4,7,9,11,12,13],[1,5,7,8,9,11,14],[1,5,8,9,10,12,13],[2,3,6,8,9,11,13],[2,3,7,8,9,12,14],[2,4,5,9,11,12,13],[2,4,6,9,10,13,14],[2,4,7,8,9,10,14],[2,5,6,8,10,11,12],[2,5,7,10,11,12,14],[3,4,5,7,11,13,14],[3,4,6,8,11,12,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,9,12,13,14],[4,5,6,7,8,10,13]]; G[2572]:=Group([(1,11)(3,12)(4,10)(7,8)(9,14)]); # Design 2573: autom. group order 2, simple, residual B[2573]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,8,12,13],[1,3,8,9,11,13,14],[1,4,5,6,11,12,14],[1,4,6,9,10,13,14],[1,4,7,8,9,10,14],[1,5,7,9,10,11,12],[1,5,8,10,11,12,13],[2,3,6,8,10,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,12,13],[2,4,6,9,10,11,13],[2,4,7,11,12,13,14],[2,5,6,8,10,12,14],[2,5,7,8,9,11,14],[3,4,5,7,11,13,14],[3,4,6,8,9,11,12],[3,4,7,8,10,12,14],[3,5,6,7,9,10,11],[3,5,6,9,12,13,14],[4,5,6,7,8,10,13]]; G[2573]:=Group([(2,11)(3,12)(4,10)(6,13)(7,8)]); # Design 2574: autom. group order 2, simple, residual B[2574]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,8,12,13],[1,3,8,9,11,13,14],[1,4,5,6,11,12,14],[1,4,6,9,10,13,14],[1,4,7,8,9,10,14],[1,5,7,9,10,11,12],[1,5,8,10,11,12,13],[2,3,6,8,10,11,14],[2,3,7,9,10,12,13],[2,4,5,8,12,13,14],[2,4,6,9,10,11,13],[2,4,7,11,12,13,14],[2,5,6,8,9,10,12],[2,5,7,8,9,11,14],[3,4,5,7,9,11,13],[3,4,6,8,9,11,12],[3,4,7,8,10,12,14],[3,5,6,7,10,11,14],[3,5,6,9,12,13,14],[4,5,6,7,8,10,13]]; G[2574]:=Group([(2,11)(3,12)(4,10)(6,13)(7,8)]); # Design 2575: autom. group order 2, simple, residual B[2575]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,10,11,12,13],[1,3,7,8,10,12,14],[1,4,5,6,8,11,14],[1,4,6,7,9,10,13],[1,4,8,9,11,12,13],[1,5,7,9,11,12,14],[1,5,8,9,10,13,14],[2,3,6,8,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,9,10,13,14],[2,4,7,8,10,11,14],[2,5,6,9,10,11,12],[2,5,7,8,10,12,13],[3,4,5,7,9,12,13],[3,4,6,8,12,13,14],[3,4,7,9,10,11,14],[3,5,6,7,11,13,14],[3,5,6,8,9,10,11],[4,5,6,7,8,10,12]]; G[2575]:=Group([(1,7)(3,8)(4,13)(5,11)]); # Design 2576: autom. group order 2, simple, residual B[2576]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,10,11,13,14],[1,3,7,8,10,12,14],[1,4,5,6,8,11,12],[1,4,6,7,9,10,13],[1,4,8,9,11,13,14],[1,5,7,9,11,12,14],[1,5,8,9,10,12,13],[2,3,6,8,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,9,10,12,13],[2,4,7,8,10,11,14],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,7,9,13,14],[3,4,6,8,12,13,14],[3,4,7,9,10,11,12],[3,5,6,7,11,12,13],[3,5,6,8,9,10,11],[4,5,6,7,8,10,14]]; G[2576]:=Group([(1,7)(3,8)(4,13)(5,11)]); # Design 2577: autom. group order 2, simple B[2577]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,7,9,11,13],[1,3,6,8,11,12,14],[1,3,7,9,11,12,13],[1,4,5,6,9,12,14],[1,4,6,7,10,12,14],[1,4,8,10,11,13,14],[1,5,7,8,9,11,14],[1,5,8,9,10,12,13],[2,3,6,8,12,13,14],[2,3,7,8,9,12,14],[2,4,5,8,11,12,13],[2,4,6,9,11,13,14],[2,4,7,8,9,10,14],[2,5,6,9,10,11,12],[2,5,7,10,11,12,14],[3,4,5,7,11,13,14],[3,4,6,8,9,10,11],[3,4,7,9,10,12,13],[3,5,6,7,8,10,11],[3,5,6,9,10,13,14],[4,5,6,7,8,12,13]]; G[2577]:=Group([(1,11)(3,12)(4,10)(7,9)(8,14)]); # Design 2578: autom. group order 2, simple B[2578]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,7,11,13,14],[1,3,6,8,11,12,14],[1,3,7,9,11,12,13],[1,4,5,6,9,11,14],[1,4,6,7,9,10,12],[1,4,8,10,12,13,14],[1,5,7,8,9,12,14],[1,5,8,9,10,11,13],[2,3,6,8,9,12,13],[2,3,7,8,9,11,14],[2,4,5,8,11,12,13],[2,4,6,9,12,13,14],[2,4,7,8,9,10,14],[2,5,6,9,10,11,12],[2,5,7,10,11,12,14],[3,4,5,7,12,13,14],[3,4,6,8,10,11,14],[3,4,7,9,10,11,13],[3,5,6,7,8,10,12],[3,5,6,9,10,13,14],[4,5,6,7,8,11,13]]; G[2578]:=Group([(1,12)(3,11)(4,10)(7,9)(8,14)]); # Design 2579: autom. group order 2, simple, residual B[2579]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,8,10,12,13],[1,3,7,9,10,11,14],[1,4,5,6,9,12,13],[1,4,6,8,9,11,14],[1,4,7,8,10,11,13],[1,5,7,8,10,12,14],[1,5,9,11,12,13,14],[2,3,6,8,11,12,14],[2,3,7,9,11,12,13],[2,4,5,7,11,13,14],[2,4,6,10,12,13,14],[2,4,8,9,10,13,14],[2,5,6,8,9,10,11],[2,5,7,8,9,10,12],[3,4,5,8,11,12,14],[3,4,6,7,9,10,14],[3,4,7,8,9,12,13],[3,5,6,7,8,13,14],[3,5,6,9,10,11,13],[4,5,6,7,10,11,12]]; G[2579]:=Group([(1,14)(3,13)(5,10)(7,12)]); # Design 2580: autom. group order 2, simple B[2580]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,8,10,12,14],[1,3,7,9,11,12,13],[1,4,5,6,11,13,14],[1,4,6,8,9,10,11],[1,4,7,8,9,13,14],[1,5,7,8,10,12,13],[1,5,9,10,11,12,14],[2,3,6,8,12,13,14],[2,3,7,9,10,11,13],[2,4,5,7,11,12,14],[2,4,6,9,10,12,13],[2,4,8,10,11,13,14],[2,5,6,8,9,11,12],[2,5,7,8,9,10,14],[3,4,5,8,9,12,13],[3,4,6,7,9,10,14],[3,4,7,8,11,12,14],[3,5,6,7,8,10,11],[3,5,6,9,11,13,14],[4,5,6,7,10,12,13]]; G[2580]:=Group([(1,2)(4,5)(6,7)(8,9)(11,14)(12,13)]); # Design 2581: autom. group order 2, simple B[2581]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,12],[1,2,6,7,9,13,14],[1,3,6,8,11,12,13],[1,3,7,9,10,11,13],[1,4,5,6,11,13,14],[1,4,6,8,9,10,14],[1,4,7,8,9,12,14],[1,5,7,8,10,12,13],[1,5,9,10,11,12,14],[2,3,6,8,10,12,14],[2,3,7,9,12,13,14],[2,4,5,7,11,12,14],[2,4,6,9,10,12,13],[2,4,8,10,11,13,14],[2,5,6,8,9,11,13],[2,5,7,8,9,10,11],[3,4,5,8,9,12,13],[3,4,6,7,9,10,11],[3,4,7,8,11,13,14],[3,5,6,7,8,10,14],[3,5,6,9,11,12,14],[4,5,6,7,10,12,13]]; G[2581]:=Group([(1,2)(4,5)(6,7)(8,9)(11,14)(12,13)]); # Design 2582: autom. group order 2, simple B[2582]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,12],[1,2,6,7,9,13,14],[1,3,6,8,11,13,14],[1,3,7,9,10,12,13],[1,4,5,6,12,13,14],[1,4,6,8,9,10,12],[1,4,7,8,9,11,14],[1,5,7,8,10,11,13],[1,5,9,10,11,12,14],[2,3,6,8,10,11,14],[2,3,7,9,11,12,13],[2,4,5,7,11,12,14],[2,4,6,9,10,11,13],[2,4,8,10,12,13,14],[2,5,6,8,9,12,13],[2,5,7,8,9,10,14],[3,4,5,8,9,11,13],[3,4,6,7,9,10,14],[3,4,7,8,12,13,14],[3,5,6,7,8,10,12],[3,5,6,9,11,12,14],[4,5,6,7,10,11,13]]; G[2582]:=Group([(1,2)(4,5)(6,7)(8,9)(11,13)(12,14)]); # Design 2583: autom. group order 2, simple B[2583]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,8,11,12,13],[1,3,7,9,10,11,13],[1,4,5,6,11,12,14],[1,4,6,8,9,13,14],[1,4,7,8,9,10,14],[1,5,7,8,10,12,13],[1,5,9,10,11,12,14],[2,3,6,8,10,12,14],[2,3,7,9,12,13,14],[2,4,5,7,11,13,14],[2,4,6,9,10,12,13],[2,4,8,10,11,13,14],[2,5,6,8,9,10,11],[2,5,7,8,9,11,12],[3,4,5,8,9,12,13],[3,4,6,7,9,10,11],[3,4,7,8,11,12,14],[3,5,6,7,8,10,14],[3,5,6,9,11,13,14],[4,5,6,7,10,12,13]]; G[2583]:=Group([(1,2)(4,5)(6,7)(8,9)(11,14)(12,13)]); # Design 2584: autom. group order 2, simple B[2584]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,8,10,12,14],[1,3,7,8,12,13,14],[1,4,5,6,11,13,14],[1,4,6,8,9,10,11],[1,4,7,9,10,12,13],[1,5,7,8,9,11,12],[1,5,9,10,11,13,14],[2,3,6,9,11,12,13],[2,3,7,9,10,11,13],[2,4,5,7,11,12,14],[2,4,6,8,9,13,14],[2,4,8,10,11,12,14],[2,5,6,8,10,12,13],[2,5,7,8,9,10,14],[3,4,5,8,9,12,13],[3,4,6,7,9,10,14],[3,4,7,8,11,13,14],[3,5,6,7,8,10,11],[3,5,6,9,11,12,14],[4,5,6,7,10,12,13]]; G[2584]:=Group([(1,2)(4,5)(6,7)(8,9)(11,14)(12,13)]); # Design 2585: autom. group order 2, simple B[2585]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,12],[1,2,6,7,9,13,14],[1,3,6,8,11,12,13],[1,3,7,8,10,11,14],[1,4,5,6,12,13,14],[1,4,6,8,9,10,14],[1,4,7,9,10,11,13],[1,5,7,8,9,12,13],[1,5,9,10,11,12,14],[2,3,6,9,10,12,13],[2,3,7,9,11,13,14],[2,4,5,7,11,12,14],[2,4,6,8,9,11,14],[2,4,8,10,12,13,14],[2,5,6,8,10,11,13],[2,5,7,8,9,10,12],[3,4,5,8,9,11,13],[3,4,6,7,9,10,12],[3,4,7,8,12,13,14],[3,5,6,7,8,10,14],[3,5,6,9,11,12,14],[4,5,6,7,10,11,13]]; G[2585]:=Group([(1,2)(4,5)(6,7)(8,9)(11,13)(12,14)]); # Design 2586: autom. group order 2, simple B[2586]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,12],[1,2,6,7,9,13,14],[1,3,6,8,11,13,14],[1,3,7,8,10,11,13],[1,4,5,6,12,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,11,14],[1,5,7,8,9,12,14],[1,5,9,10,11,12,13],[2,3,6,9,10,12,14],[2,3,7,9,11,12,14],[2,4,5,7,11,12,13],[2,4,6,8,9,11,13],[2,4,8,10,12,13,14],[2,5,6,8,10,11,14],[2,5,7,8,9,10,13],[3,4,5,8,9,11,14],[3,4,6,7,9,10,13],[3,4,7,8,12,13,14],[3,5,6,7,8,10,12],[3,5,6,9,11,12,13],[4,5,6,7,10,11,14]]; G[2586]:=Group([(1,2)(4,5)(6,7)(8,9)(11,14)(12,13)]); # Design 2587: autom. group order 2, simple B[2587]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,8,11,12,13],[1,3,7,8,10,12,14],[1,4,5,6,11,12,14],[1,4,6,8,9,13,14],[1,4,7,9,10,12,13],[1,5,7,8,9,10,11],[1,5,9,10,11,13,14],[2,3,6,9,10,11,13],[2,3,7,9,12,13,14],[2,4,5,7,11,13,14],[2,4,6,8,9,10,14],[2,4,8,10,11,12,14],[2,5,6,8,10,12,13],[2,5,7,8,9,11,12],[3,4,5,8,9,12,13],[3,4,6,7,9,10,11],[3,4,7,8,11,13,14],[3,5,6,7,8,10,14],[3,5,6,9,11,12,14],[4,5,6,7,10,12,13]]; G[2587]:=Group([(1,2)(4,5)(6,7)(8,9)(11,14)(12,13)]); # Design 2588: autom. group order 2, simple, residual B[2588]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,11,14],[1,3,6,10,12,13,14],[1,3,7,8,11,12,13],[1,4,5,6,9,12,13],[1,4,6,9,10,11,14],[1,4,7,8,9,10,12],[1,5,7,8,10,12,14],[1,5,8,9,11,13,14],[2,3,6,8,9,12,13],[2,3,7,8,9,10,14],[2,4,5,8,11,12,14],[2,4,6,8,10,13,14],[2,4,7,9,12,13,14],[2,5,6,7,10,11,12],[2,5,9,10,11,12,13],[3,4,5,7,11,13,14],[3,4,6,8,11,12,14],[3,4,7,9,10,11,13],[3,5,6,7,9,12,14],[3,5,6,8,9,10,11],[4,5,6,7,8,10,13]]; G[2588]:=Group([(1,11)(3,12)(4,10)(8,13)]); # Design 2589: autom. group order 2, simple, residual B[2589]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,11,14],[1,3,6,10,12,13,14],[1,3,7,8,11,12,13],[1,4,5,6,8,12,14],[1,4,6,9,10,11,14],[1,4,7,8,9,10,12],[1,5,7,9,10,12,13],[1,5,8,9,11,13,14],[2,3,6,8,9,10,13],[2,3,7,8,9,12,14],[2,4,5,9,11,12,13],[2,4,6,8,12,13,14],[2,4,7,9,10,13,14],[2,5,6,7,10,11,12],[2,5,8,10,11,12,14],[3,4,5,7,11,13,14],[3,4,6,9,11,12,13],[3,4,7,8,10,11,14],[3,5,6,7,9,12,14],[3,5,6,8,9,10,11],[4,5,6,7,8,10,13]]; G[2589]:=Group([(1,11)(3,12)(4,10)(9,14)]); # Design 2590: autom. group order 2, simple, residual B[2590]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,11,14],[1,3,6,8,10,12,14],[1,3,7,9,11,12,14],[1,4,5,6,12,13,14],[1,4,6,8,10,11,13],[1,4,7,9,10,12,13],[1,5,7,8,9,10,12],[1,5,8,9,11,13,14],[2,3,6,9,12,13,14],[2,3,7,8,9,10,13],[2,4,5,9,11,12,13],[2,4,6,8,9,10,14],[2,4,7,8,12,13,14],[2,5,6,7,10,11,12],[2,5,8,10,11,12,14],[3,4,5,7,8,11,14],[3,4,6,8,9,11,12],[3,4,7,10,11,13,14],[3,5,6,7,8,12,13],[3,5,6,9,10,11,13],[4,5,6,7,9,10,14]]; G[2590]:=Group([(1,11)(3,12)(4,10)(9,14)]); # Design 2591: autom. group order 2, simple, residual B[2591]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,11,14],[1,3,6,8,10,12,14],[1,3,7,9,11,12,14],[1,4,5,6,9,12,13],[1,4,6,8,10,11,13],[1,4,7,9,10,12,13],[1,5,7,8,10,12,14],[1,5,8,9,11,13,14],[2,3,6,9,10,13,14],[2,3,7,8,9,12,13],[2,4,5,8,11,12,14],[2,4,6,8,9,12,14],[2,4,7,8,10,13,14],[2,5,6,7,10,11,12],[2,5,9,10,11,12,13],[3,4,5,7,11,13,14],[3,4,6,11,12,13,14],[3,4,7,8,9,10,11],[3,5,6,7,8,12,13],[3,5,6,8,9,10,11],[4,5,6,7,9,10,14]]; G[2591]:=Group([(1,11)(3,12)(4,10)(8,13)]); # Design 2592: autom. group order 2, simple, residual B[2592]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,11,14],[1,3,6,8,10,11,14],[1,3,7,9,10,12,13],[1,4,5,6,9,12,14],[1,4,6,8,10,12,13],[1,4,7,9,11,12,13],[1,5,7,8,10,12,14],[1,5,8,9,11,13,14],[2,3,6,8,9,12,13],[2,3,7,8,9,12,14],[2,4,5,11,12,13,14],[2,4,6,9,10,13,14],[2,4,7,8,10,13,14],[2,5,6,7,10,11,12],[2,5,8,9,10,11,12],[3,4,5,7,8,11,13],[3,4,6,8,11,12,14],[3,4,7,9,10,11,14],[3,5,6,7,12,13,14],[3,5,6,9,10,11,13],[4,5,6,7,8,9,10]]; G[2592]:=Group([(1,12)(3,11)(4,10)(6,8)(7,9)]); # Design 2593: autom. group order 2, simple, residual B[2593]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,11,14],[1,3,6,8,11,12,13],[1,3,7,9,10,12,13],[1,4,5,6,12,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,11,14],[1,5,7,8,9,10,12],[1,5,8,9,11,13,14],[2,3,6,8,9,12,14],[2,3,7,8,10,13,14],[2,4,5,9,11,12,13],[2,4,6,9,10,13,14],[2,4,7,8,9,12,13],[2,5,6,7,10,11,12],[2,5,8,10,11,12,14],[3,4,5,7,8,11,14],[3,4,6,8,9,10,11],[3,4,7,11,12,13,14],[3,5,6,7,9,12,14],[3,5,6,9,10,11,13],[4,5,6,7,8,10,13]]; G[2593]:=Group([(1,11)(3,12)(4,10)(9,14)]); # Design 2594: autom. group order 2, simple, residual B[2594]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,11,14],[1,3,6,8,11,12,13],[1,3,7,10,12,13,14],[1,4,5,6,12,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,11,14],[1,5,7,8,9,10,12],[1,5,8,9,11,13,14],[2,3,6,8,9,12,14],[2,3,7,8,9,10,13],[2,4,5,9,11,12,13],[2,4,6,9,10,13,14],[2,4,7,8,12,13,14],[2,5,6,7,10,11,12],[2,5,8,10,11,12,14],[3,4,5,7,8,11,14],[3,4,6,8,10,11,14],[3,4,7,9,11,12,13],[3,5,6,7,9,12,14],[3,5,6,9,10,11,13],[4,5,6,7,8,10,13]]; G[2594]:=Group([(1,11)(3,12)(4,10)(9,14)]); # Design 2595: autom. group order 2, simple, residual B[2595]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,11,14],[1,3,6,8,11,12,13],[1,3,7,9,10,12,13],[1,4,5,6,9,12,13],[1,4,6,8,10,12,14],[1,4,7,9,10,11,14],[1,5,7,8,10,12,14],[1,5,8,9,11,13,14],[2,3,6,8,9,10,14],[2,3,7,8,12,13,14],[2,4,5,8,11,12,14],[2,4,6,9,12,13,14],[2,4,7,8,9,10,13],[2,5,6,7,10,11,12],[2,5,9,10,11,12,13],[3,4,5,7,11,13,14],[3,4,6,10,11,13,14],[3,4,7,8,9,11,12],[3,5,6,7,9,12,14],[3,5,6,8,9,10,11],[4,5,6,7,8,10,13]]; G[2595]:=Group([(1,11)(3,12)(4,10)(8,13)]); # Design 2596: autom. group order 2, simple, residual B[2596]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,11,14],[1,3,6,8,11,12,13],[1,3,7,10,12,13,14],[1,4,5,6,12,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,11,14],[1,5,7,8,9,10,12],[1,5,8,9,11,13,14],[2,3,6,8,9,10,14],[2,3,7,8,9,12,13],[2,4,5,8,11,12,14],[2,4,6,9,12,13,14],[2,4,7,8,10,13,14],[2,5,6,7,10,11,12],[2,5,9,10,11,12,13],[3,4,5,7,9,11,13],[3,4,6,9,10,11,13],[3,4,7,8,11,12,14],[3,5,6,7,9,12,14],[3,5,6,8,10,11,14],[4,5,6,7,8,10,13]]; G[2596]:=Group([(1,11)(3,12)(4,10)(8,13)]); # Design 2597: autom. group order 2, simple, residual B[2597]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,11,14],[1,3,6,8,11,12,13],[1,3,7,8,9,10,12],[1,4,5,6,9,12,13],[1,4,6,10,12,13,14],[1,4,7,9,10,11,14],[1,5,7,8,10,12,14],[1,5,8,9,11,13,14],[2,3,6,9,10,13,14],[2,3,7,8,12,13,14],[2,4,5,8,11,12,14],[2,4,6,8,9,12,14],[2,4,7,8,9,10,13],[2,5,6,7,10,11,12],[2,5,9,10,11,12,13],[3,4,5,7,11,13,14],[3,4,6,8,10,11,14],[3,4,7,9,11,12,13],[3,5,6,7,9,12,14],[3,5,6,8,9,10,11],[4,5,6,7,8,10,13]]; G[2597]:=Group([(1,11)(3,12)(4,10)(8,13)]); # Design 2598: autom. group order 2, simple, residual B[2598]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,11,14],[1,3,6,8,11,12,13],[1,3,7,8,10,12,14],[1,4,5,6,12,13,14],[1,4,6,9,10,12,13],[1,4,7,9,10,11,14],[1,5,7,8,9,10,12],[1,5,8,9,11,13,14],[2,3,6,9,10,13,14],[2,3,7,8,9,12,13],[2,4,5,8,11,12,14],[2,4,6,8,9,12,14],[2,4,7,8,10,13,14],[2,5,6,7,10,11,12],[2,5,9,10,11,12,13],[3,4,5,7,9,11,13],[3,4,6,8,9,10,11],[3,4,7,11,12,13,14],[3,5,6,7,9,12,14],[3,5,6,8,10,11,14],[4,5,6,7,8,10,13]]; G[2598]:=Group([(1,11)(3,12)(4,10)(8,13)]); # Design 2599: autom. group order 2, simple, residual B[2599]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,11,14],[1,3,6,8,9,10,12],[1,3,7,8,11,12,13],[1,4,5,6,12,13,14],[1,4,6,9,10,11,14],[1,4,7,10,12,13,14],[1,5,7,8,9,10,12],[1,5,8,9,11,13,14],[2,3,6,8,10,13,14],[2,3,7,9,12,13,14],[2,4,5,9,11,12,13],[2,4,6,8,9,12,13],[2,4,7,8,9,10,14],[2,5,6,7,10,11,12],[2,5,8,10,11,12,14],[3,4,5,7,8,11,14],[3,4,6,8,11,12,14],[3,4,7,9,10,11,13],[3,5,6,7,9,12,14],[3,5,6,9,10,11,13],[4,5,6,7,8,10,13]]; G[2599]:=Group([(1,11)(3,12)(4,10)(9,14)]); # Design 2600: autom. group order 2, simple, residual B[2600]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,11,14],[1,3,6,8,10,12,14],[1,3,7,8,11,12,13],[1,4,5,6,12,13,14],[1,4,6,9,10,11,14],[1,4,7,9,10,12,13],[1,5,7,8,9,10,12],[1,5,8,9,11,13,14],[2,3,6,8,9,10,13],[2,3,7,9,12,13,14],[2,4,5,9,11,12,13],[2,4,6,8,12,13,14],[2,4,7,8,9,10,14],[2,5,6,7,10,11,12],[2,5,8,10,11,12,14],[3,4,5,7,8,11,14],[3,4,6,8,9,11,12],[3,4,7,10,11,13,14],[3,5,6,7,9,12,14],[3,5,6,9,10,11,13],[4,5,6,7,8,10,13]]; G[2600]:=Group([(1,11)(3,12)(4,10)(9,14)]); # Design 2601: autom. group order 2, simple, residual B[2601]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,11,14],[1,3,6,8,9,10,12],[1,3,7,8,11,12,13],[1,4,5,6,12,13,14],[1,4,6,9,10,11,14],[1,4,7,10,12,13,14],[1,5,7,8,9,10,12],[1,5,8,9,11,13,14],[2,3,6,8,12,13,14],[2,3,7,9,10,13,14],[2,4,5,8,11,12,14],[2,4,6,8,9,10,13],[2,4,7,8,9,12,14],[2,5,6,7,10,11,12],[2,5,9,10,11,12,13],[3,4,5,7,9,11,13],[3,4,6,9,11,12,13],[3,4,7,8,10,11,14],[3,5,6,7,9,12,14],[3,5,6,8,10,11,14],[4,5,6,7,8,10,13]]; G[2601]:=Group([(1,11)(3,12)(4,10)(8,13)]); # Design 2602: autom. group order 2, simple, residual B[2602]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,11,14],[1,3,6,8,10,12,14],[1,3,7,8,11,12,13],[1,4,5,6,9,12,13],[1,4,6,9,10,11,14],[1,4,7,9,10,12,13],[1,5,7,8,10,12,14],[1,5,8,9,11,13,14],[2,3,6,8,9,12,13],[2,3,7,9,10,13,14],[2,4,5,8,11,12,14],[2,4,6,8,10,13,14],[2,4,7,8,9,12,14],[2,5,6,7,10,11,12],[2,5,9,10,11,12,13],[3,4,5,7,11,13,14],[3,4,6,11,12,13,14],[3,4,7,8,9,10,11],[3,5,6,7,9,12,14],[3,5,6,8,9,10,11],[4,5,6,7,8,10,13]]; G[2602]:=Group([(1,11)(3,12)(4,10)(8,13)]); # Design 2603: autom. group order 2, simple, residual B[2603]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,11,14],[1,3,6,8,11,12,13],[1,3,7,8,9,10,12],[1,4,5,6,8,12,14],[1,4,6,10,12,13,14],[1,4,7,9,10,11,14],[1,5,7,9,10,12,13],[1,5,8,9,11,13,14],[2,3,6,9,12,13,14],[2,3,7,8,10,13,14],[2,4,5,9,11,12,13],[2,4,6,8,9,10,14],[2,4,7,8,9,12,13],[2,5,6,7,10,11,12],[2,5,8,10,11,12,14],[3,4,5,7,11,13,14],[3,4,6,9,10,11,13],[3,4,7,8,11,12,14],[3,5,6,7,9,12,14],[3,5,6,8,9,10,11],[4,5,6,7,8,10,13]]; G[2603]:=Group([(1,11)(3,12)(4,10)(9,14)]); # Design 2604: autom. group order 2, simple, residual B[2604]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,11,14],[1,3,6,8,11,12,13],[1,3,7,8,10,12,14],[1,4,5,6,8,12,14],[1,4,6,9,10,12,13],[1,4,7,9,10,11,14],[1,5,7,9,10,12,13],[1,5,8,9,11,13,14],[2,3,6,9,12,13,14],[2,3,7,8,9,10,13],[2,4,5,9,11,12,13],[2,4,6,8,9,10,14],[2,4,7,8,12,13,14],[2,5,6,7,10,11,12],[2,5,8,10,11,12,14],[3,4,5,7,11,13,14],[3,4,6,10,11,13,14],[3,4,7,8,9,11,12],[3,5,6,7,9,12,14],[3,5,6,8,9,10,11],[4,5,6,7,8,10,13]]; G[2604]:=Group([(1,11)(3,12)(4,10)(9,14)]); # Design 2605: autom. group order 2, simple B[2605]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,7,9,11,13],[1,3,6,8,11,12,14],[1,3,7,9,11,12,13],[1,4,5,6,9,12,14],[1,4,6,8,10,11,14],[1,4,7,10,12,13,14],[1,5,7,8,9,11,14],[1,5,8,9,10,12,13],[2,3,6,8,12,13,14],[2,3,7,8,9,12,14],[2,4,5,8,11,12,13],[2,4,6,9,11,13,14],[2,4,7,8,9,10,14],[2,5,6,9,10,11,12],[2,5,7,10,11,12,14],[3,4,5,7,11,13,14],[3,4,6,7,9,10,12],[3,4,8,9,10,11,13],[3,5,6,7,8,10,11],[3,5,6,9,10,13,14],[4,5,6,7,8,12,13]]; G[2605]:=Group([(1,11)(3,12)(4,10)(7,9)(8,14)]); # Design 2606: autom. group order 2, simple B[2606]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,7,11,13,14],[1,3,6,8,11,12,14],[1,3,7,9,11,12,13],[1,4,5,6,9,11,14],[1,4,6,8,10,12,14],[1,4,7,9,10,12,13],[1,5,7,8,9,12,14],[1,5,8,9,10,11,13],[2,3,6,8,9,12,13],[2,3,7,8,9,11,14],[2,4,5,8,11,12,13],[2,4,6,9,12,13,14],[2,4,7,8,9,10,14],[2,5,6,9,10,11,12],[2,5,7,10,11,12,14],[3,4,5,7,12,13,14],[3,4,6,7,9,10,11],[3,4,8,10,11,13,14],[3,5,6,7,8,10,12],[3,5,6,9,10,13,14],[4,5,6,7,8,11,13]]; G[2606]:=Group([(1,12)(3,11)(4,10)(7,9)(8,14)]); # Design 2607: autom. group order 2, simple, residual B[2607]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,8,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,11,12,14],[1,4,6,8,9,10,13],[1,4,7,8,9,10,14],[1,5,7,10,11,12,13],[1,5,8,9,10,11,12],[2,3,6,8,10,11,14],[2,3,7,9,10,12,13],[2,4,5,9,12,13,14],[2,4,6,9,10,11,13],[2,4,8,11,12,13,14],[2,5,6,7,8,10,12],[2,5,7,8,9,11,14],[3,4,5,7,8,11,13],[3,4,6,7,9,11,12],[3,4,7,8,10,12,14],[3,5,6,8,9,12,13],[3,5,6,9,10,11,14],[4,5,6,7,10,13,14]]; G[2607]:=Group([(2,11)(3,12)(4,10)(6,13)]); # Design 2608: autom. group order 2, simple, residual B[2608]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,8,10,12,13],[1,3,7,9,10,11,14],[1,4,5,6,9,12,13],[1,4,6,8,10,11,14],[1,4,9,11,12,13,14],[1,5,7,8,9,11,13],[1,5,7,8,10,12,14],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,5,7,11,12,14],[2,4,6,8,9,10,14],[2,4,7,8,9,10,13],[2,5,6,10,11,12,13],[2,5,8,9,10,11,12],[3,4,5,8,11,13,14],[3,4,6,7,8,11,12],[3,4,7,9,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,9,12,14],[4,5,6,7,10,13,14]]; G[2608]:=Group([(1,11)(3,12)(4,10)(7,13)]); # Design 2609: autom. group order 2, simple B[2609]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,7,8,11,14],[1,3,6,9,11,12,13],[1,3,7,8,11,12,14],[1,4,5,6,12,13,14],[1,4,6,9,10,11,13],[1,4,8,9,10,12,14],[1,5,7,8,9,10,12],[1,5,7,9,11,13,14],[2,3,6,8,9,12,13],[2,3,7,9,12,13,14],[2,4,5,7,9,11,12],[2,4,6,8,9,11,14],[2,4,7,9,10,13,14],[2,5,6,10,11,12,14],[2,5,8,10,11,12,13],[3,4,5,8,11,13,14],[3,4,6,7,10,12,14],[3,4,7,8,10,11,13],[3,5,6,7,9,10,11],[3,5,6,8,9,10,14],[4,5,6,7,8,12,13]]; G[2609]:=Group([(1,11)(3,12)(4,10)(7,14)(9,13)]); # Design 2610: autom. group order 2, simple B[2610]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,7,8,11,14],[1,3,6,9,11,12,13],[1,3,7,8,11,12,14],[1,4,5,6,12,13,14],[1,4,6,9,10,12,14],[1,4,8,9,10,11,13],[1,5,7,8,9,10,12],[1,5,7,9,11,13,14],[2,3,6,8,9,12,13],[2,3,7,9,12,13,14],[2,4,5,7,9,11,12],[2,4,6,8,9,11,14],[2,4,7,9,10,13,14],[2,5,6,10,11,12,14],[2,5,8,10,11,12,13],[3,4,5,8,11,13,14],[3,4,6,7,10,11,13],[3,4,7,8,10,12,14],[3,5,6,7,9,10,11],[3,5,6,8,9,10,14],[4,5,6,7,8,12,13]]; G[2610]:=Group([(1,11)(3,12)(4,10)(7,14)(9,13)]); # Design 2611: autom. group order 2, simple B[2611]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,9,10,11,14],[1,3,7,8,10,12,13],[1,4,5,6,11,13,14],[1,4,6,9,10,12,13],[1,4,8,9,11,12,14],[1,5,7,8,9,10,11],[1,5,7,9,12,13,14],[2,3,6,8,9,12,14],[2,3,7,9,11,13,14],[2,4,5,7,9,11,12],[2,4,6,8,9,10,13],[2,4,7,9,10,13,14],[2,5,6,10,11,12,14],[2,5,8,10,11,12,13],[3,4,5,8,12,13,14],[3,4,6,7,11,12,13],[3,4,7,8,10,11,14],[3,5,6,7,9,10,12],[3,5,6,8,9,11,13],[4,5,6,7,8,10,14]]; G[2611]:=Group([(1,12)(3,11)(4,10)(7,14)(9,13)]); # Design 2612: autom. group order 2, simple, residual B[2612]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,7,11,12,14],[1,3,6,9,11,13,14],[1,3,7,8,9,10,12],[1,4,5,6,9,12,13],[1,4,6,8,10,11,14],[1,4,8,9,12,13,14],[1,5,7,8,11,12,13],[1,5,7,9,10,11,14],[2,3,6,8,11,12,13],[2,3,7,9,12,13,14],[2,4,5,8,11,13,14],[2,4,6,9,10,12,14],[2,4,7,9,10,11,13],[2,5,6,7,8,9,14],[2,5,8,9,10,11,12],[3,4,5,7,11,12,14],[3,4,6,7,8,9,11],[3,4,7,8,10,13,14],[3,5,6,8,10,12,14],[3,5,6,9,10,11,13],[4,5,6,7,10,12,13]]; G[2612]:=Group([(1,6)(2,11)(4,13)(5,9)(7,14)(8,10)]); # Design 2613: autom. group order 2, simple B[2613]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,7,9,11,13],[1,3,6,8,11,12,14],[1,3,9,10,11,13,14],[1,4,5,6,9,12,14],[1,4,6,7,10,12,14],[1,4,7,8,11,12,13],[1,5,7,8,9,11,14],[1,5,8,9,10,12,13],[2,3,6,8,12,13,14],[2,3,7,8,9,12,14],[2,4,5,8,11,12,13],[2,4,6,9,11,13,14],[2,4,7,8,9,10,14],[2,5,6,9,10,11,12],[2,5,7,10,11,12,14],[3,4,5,7,11,13,14],[3,4,6,8,9,10,11],[3,4,7,9,10,12,13],[3,5,6,7,8,10,11],[3,5,6,7,9,12,13],[4,5,6,8,10,13,14]]; G[2613]:=Group([(1,11)(3,12)(4,10)(7,9)(8,14)]); # Design 2614: autom. group order 2, simple, residual B[2614]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,7,9,11,14],[1,3,6,8,11,12,14],[1,3,8,9,10,11,13],[1,4,5,6,9,12,13],[1,4,6,7,10,12,14],[1,4,7,8,11,12,13],[1,5,7,9,11,13,14],[1,5,8,9,10,12,14],[2,3,6,8,12,13,14],[2,3,7,9,12,13,14],[2,4,5,11,12,13,14],[2,4,6,8,9,11,13],[2,4,7,8,9,10,14],[2,5,6,9,10,11,12],[2,5,7,8,10,11,12],[3,4,5,7,8,11,14],[3,4,6,9,10,11,14],[3,4,7,9,10,12,13],[3,5,6,7,8,9,12],[3,5,6,7,10,11,13],[4,5,6,8,10,13,14]]; G[2614]:=Group([(1,11)(3,12)(4,10)(7,9)]); # Design 2615: autom. group order 2, simple B[2615]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,8,11,13,14],[1,3,8,9,12,13,14],[1,4,5,6,11,12,13],[1,4,6,7,9,10,14],[1,4,7,8,9,10,13],[1,5,7,8,10,11,12],[1,5,9,10,11,12,14],[2,3,6,9,10,12,13],[2,3,7,8,9,11,12],[2,4,5,9,11,13,14],[2,4,6,8,10,12,14],[2,4,7,11,12,13,14],[2,5,6,8,9,10,11],[2,5,7,8,10,13,14],[3,4,5,7,8,12,14],[3,4,6,8,10,11,14],[3,4,7,9,10,11,13],[3,5,6,7,9,11,14],[3,5,6,7,10,12,13],[4,5,6,8,9,12,13]]; G[2615]:=Group([(2,12)(3,11)(4,10)(6,14)(7,9)]); # Design 2616: autom. group order 2, simple B[2616]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,8,11,13,14],[1,3,8,9,12,13,14],[1,4,5,6,11,12,13],[1,4,6,7,9,10,14],[1,4,7,8,9,10,13],[1,5,7,8,10,11,12],[1,5,9,10,11,12,14],[2,3,6,9,10,12,13],[2,3,7,8,10,11,14],[2,4,5,9,11,13,14],[2,4,6,8,10,12,14],[2,4,7,11,12,13,14],[2,5,6,8,9,10,11],[2,5,7,8,9,12,13],[3,4,5,7,8,12,14],[3,4,6,8,9,11,12],[3,4,7,9,10,11,13],[3,5,6,7,9,11,14],[3,5,6,7,10,12,13],[4,5,6,8,10,13,14]]; G[2616]:=Group([(2,12)(3,11)(4,10)(6,14)(7,9)]); # Design 2617: autom. group order 2, simple B[2617]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,8,11,13,14],[1,3,8,9,12,13,14],[1,4,5,6,11,12,13],[1,4,6,7,9,10,14],[1,4,7,8,9,10,13],[1,5,7,8,10,11,12],[1,5,9,10,11,12,14],[2,3,6,9,10,12,13],[2,3,7,8,9,11,12],[2,4,5,8,9,11,14],[2,4,6,8,10,12,14],[2,4,7,11,12,13,14],[2,5,6,9,10,11,13],[2,5,7,8,10,13,14],[3,4,5,7,12,13,14],[3,4,6,8,10,11,14],[3,4,7,9,10,11,13],[3,5,6,7,8,10,12],[3,5,6,7,9,11,14],[4,5,6,8,9,12,13]]; G[2617]:=Group([(2,12)(3,11)(4,10)(6,14)(7,9)]); # Design 2618: autom. group order 2, simple B[2618]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,8,11,13,14],[1,3,8,9,12,13,14],[1,4,5,6,11,12,13],[1,4,6,7,9,10,14],[1,4,7,8,9,10,13],[1,5,7,8,10,11,12],[1,5,9,10,11,12,14],[2,3,6,9,10,12,13],[2,3,7,8,10,11,14],[2,4,5,8,9,11,14],[2,4,6,8,10,12,14],[2,4,7,11,12,13,14],[2,5,6,9,10,11,13],[2,5,7,8,9,12,13],[3,4,5,7,12,13,14],[3,4,6,8,9,11,12],[3,4,7,9,10,11,13],[3,5,6,7,8,10,12],[3,5,6,7,9,11,14],[4,5,6,8,10,13,14]]; G[2618]:=Group([(2,12)(3,11)(4,10)(6,14)(7,9)]); # Design 2619: autom. group order 2, simple, residual B[2619]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,8,9,10,14],[1,3,8,9,11,13,14],[1,4,5,6,11,12,14],[1,4,6,7,8,10,13],[1,4,7,9,12,13,14],[1,5,7,9,10,11,12],[1,5,8,10,11,12,13],[2,3,6,9,11,12,13],[2,3,7,10,12,13,14],[2,4,5,8,9,12,13],[2,4,6,9,10,11,13],[2,4,7,8,10,11,14],[2,5,6,8,10,12,14],[2,5,7,8,9,11,14],[3,4,5,7,11,13,14],[3,4,6,8,11,12,14],[3,4,7,8,9,10,12],[3,5,6,7,8,12,13],[3,5,6,7,9,10,11],[4,5,6,9,10,13,14]]; G[2619]:=Group([(2,11)(3,12)(4,10)(6,13)(7,8)]); # Design 2620: autom. group order 2, simple, residual B[2620]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,8,9,10,14],[1,3,8,9,11,13,14],[1,4,5,6,11,12,14],[1,4,6,7,8,10,13],[1,4,7,9,12,13,14],[1,5,7,9,10,11,12],[1,5,8,10,11,12,13],[2,3,6,9,11,12,13],[2,3,7,10,12,13,14],[2,4,5,8,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,11,14],[2,5,6,8,9,10,12],[2,5,7,8,9,11,14],[3,4,5,7,9,11,13],[3,4,6,8,11,12,14],[3,4,7,8,9,10,12],[3,5,6,7,8,12,13],[3,5,6,7,10,11,14],[4,5,6,9,10,13,14]]; G[2620]:=Group([(2,11)(3,12)(4,10)(6,13)(7,8)]); # Design 2621: autom. group order 2, simple, residual B[2621]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,8,9,10,14],[1,3,8,9,11,13,14],[1,4,5,6,11,12,14],[1,4,6,7,8,10,13],[1,4,7,9,12,13,14],[1,5,7,9,10,11,12],[1,5,8,10,11,12,13],[2,3,6,11,12,13,14],[2,3,7,9,10,12,13],[2,4,5,8,9,12,13],[2,4,6,9,10,11,13],[2,4,7,8,10,11,14],[2,5,6,8,10,12,14],[2,5,7,8,9,11,14],[3,4,5,7,11,13,14],[3,4,6,8,9,11,12],[3,4,7,8,10,12,14],[3,5,6,7,8,12,13],[3,5,6,7,9,10,11],[4,5,6,9,10,13,14]]; G[2621]:=Group([(2,11)(3,12)(4,10)(6,13)(7,8)]); # Design 2622: autom. group order 2, simple, residual B[2622]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,8,9,10,14],[1,3,8,9,11,13,14],[1,4,5,6,11,12,14],[1,4,6,7,8,10,13],[1,4,7,9,12,13,14],[1,5,7,9,10,11,12],[1,5,8,10,11,12,13],[2,3,6,11,12,13,14],[2,3,7,9,10,12,13],[2,4,5,8,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,11,14],[2,5,6,8,9,10,12],[2,5,7,8,9,11,14],[3,4,5,7,9,11,13],[3,4,6,8,9,11,12],[3,4,7,8,10,12,14],[3,5,6,7,8,12,13],[3,5,6,7,10,11,14],[4,5,6,9,10,13,14]]; G[2622]:=Group([(2,11)(3,12)(4,10)(6,13)(7,8)]); # Design 2623: autom. group order 2, simple B[2623]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,8,9,10,14],[1,3,8,9,11,13,14],[1,4,5,6,11,12,14],[1,4,6,7,8,10,13],[1,4,7,9,12,13,14],[1,5,7,9,10,11,12],[1,5,8,10,11,12,13],[2,3,6,9,11,12,13],[2,3,7,8,11,12,14],[2,4,5,8,9,12,13],[2,4,6,9,10,11,13],[2,4,7,8,10,11,14],[2,5,6,8,10,12,14],[2,5,7,9,10,13,14],[3,4,5,7,11,13,14],[3,4,6,10,12,13,14],[3,4,7,8,9,10,12],[3,5,6,7,8,12,13],[3,5,6,7,9,10,11],[4,5,6,8,9,11,14]]; G[2623]:=Group([(2,11)(3,12)(4,10)(6,13)(7,8)]); # Design 2624: autom. group order 2, simple B[2624]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,8,9,10,14],[1,3,8,9,11,13,14],[1,4,5,6,11,12,14],[1,4,6,7,8,10,13],[1,4,7,9,12,13,14],[1,5,7,9,10,11,12],[1,5,8,10,11,12,13],[2,3,6,11,12,13,14],[2,3,7,8,9,11,12],[2,4,5,8,9,12,13],[2,4,6,9,10,11,13],[2,4,7,8,10,11,14],[2,5,6,8,10,12,14],[2,5,7,9,10,13,14],[3,4,5,7,11,13,14],[3,4,6,9,10,12,13],[3,4,7,8,10,12,14],[3,5,6,7,8,12,13],[3,5,6,7,9,10,11],[4,5,6,8,9,11,14]]; G[2624]:=Group([(2,11)(3,12)(4,10)(6,13)(7,8)]); # Design 2625: autom. group order 2, simple, residual B[2625]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,7,8,11,14],[1,3,6,9,10,12,13],[1,3,8,11,12,13,14],[1,4,5,6,9,11,14],[1,4,6,7,11,12,13],[1,4,7,9,10,12,14],[1,5,7,8,9,12,14],[1,5,8,9,10,11,13],[2,3,6,8,9,12,14],[2,3,7,9,11,13,14],[2,4,5,11,12,13,14],[2,4,6,8,9,12,13],[2,4,7,9,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,11,12],[3,4,5,7,8,12,13],[3,4,6,8,10,11,14],[3,4,7,8,9,10,11],[3,5,6,7,9,11,13],[3,5,6,7,10,12,14],[4,5,6,8,10,13,14]]; G[2625]:=Group([(1,12)(3,11)(4,10)(7,9)]); # Design 2626: autom. group order 2, simple, residual B[2626]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,11],[1,2,6,7,8,12,13],[1,3,6,11,12,13,14],[1,3,8,9,10,11,14],[1,4,5,6,9,11,13],[1,4,6,7,9,12,14],[1,4,8,9,10,12,13],[1,5,7,8,11,13,14],[1,5,7,9,10,12,14],[2,3,6,8,9,12,14],[2,3,7,9,11,12,13],[2,4,5,11,12,13,14],[2,4,6,9,10,13,14],[2,4,7,8,10,13,14],[2,5,6,8,9,11,14],[2,5,7,9,10,11,12],[3,4,5,7,8,12,14],[3,4,6,7,10,11,14],[3,4,7,8,9,11,13],[3,5,6,7,9,10,13],[3,5,6,8,10,12,13],[4,5,6,8,10,11,12]]; G[2626]:=Group([(1,14)(3,13)(5,10)(7,9)]); # Design 2627: autom. group order 2, simple B[2627]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,11,13,14],[1,2,6,8,10,12,13],[1,3,6,7,8,12,14],[1,3,7,8,9,11,13],[1,4,5,6,9,11,14],[1,4,6,7,9,10,12],[1,4,8,10,11,13,14],[1,5,7,8,9,12,13],[1,5,9,10,11,12,14],[2,3,6,8,9,11,14],[2,3,7,9,10,11,12],[2,4,5,7,12,13,14],[2,4,6,8,9,10,13],[2,4,7,8,11,12,14],[2,5,6,9,11,12,13],[2,5,7,8,9,10,14],[3,4,5,8,11,12,13],[3,4,6,9,12,13,14],[3,4,7,9,10,13,14],[3,5,6,7,10,11,13],[3,5,6,8,10,12,14],[4,5,6,7,8,10,11]]; G[2627]:=Group([(1,6)(2,14)(4,12)(5,8)(9,10)(11,13)]); # Design 2628: autom. group order 2, simple B[2628]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,8,12,13],[1,3,7,9,12,13,14],[1,4,5,6,11,12,14],[1,4,6,7,9,10,14],[1,4,8,9,10,13,14],[1,5,7,9,10,11,12],[1,5,8,10,11,12,13],[2,3,6,9,10,11,13],[2,3,7,8,10,12,14],[2,4,5,7,9,12,13],[2,4,6,10,12,13,14],[2,4,7,8,11,12,14],[2,5,6,8,9,10,12],[2,5,7,9,11,13,14],[3,4,5,8,11,13,14],[3,4,6,9,11,12,13],[3,4,7,8,9,10,11],[3,5,6,7,10,11,14],[3,5,6,8,9,12,14],[4,5,6,7,8,10,13]]; G[2628]:=Group([(2,12)(3,11)(4,10)(6,13)(7,8)]); # Design 2629: autom. group order 2, simple B[2629]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,8,12,13],[1,3,7,9,12,13,14],[1,4,5,6,11,12,14],[1,4,6,7,9,10,14],[1,4,8,9,10,13,14],[1,5,7,9,10,11,12],[1,5,8,10,11,12,13],[2,3,6,9,10,12,13],[2,3,7,8,10,11,14],[2,4,5,7,12,13,14],[2,4,6,9,11,12,13],[2,4,7,8,9,10,12],[2,5,6,8,10,12,14],[2,5,7,9,11,13,14],[3,4,5,8,9,11,13],[3,4,6,10,11,13,14],[3,4,7,8,11,12,14],[3,5,6,7,9,10,11],[3,5,6,8,9,12,14],[4,5,6,7,8,10,13]]; G[2629]:=Group([(2,12)(3,11)(4,10)(6,13)(7,8)]); # Design 2630: autom. group order 2, simple B[2630]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,8,12,13],[1,3,7,9,12,13,14],[1,4,5,6,11,12,14],[1,4,6,7,9,10,14],[1,4,8,9,10,13,14],[1,5,7,9,10,11,12],[1,5,8,10,11,12,13],[2,3,6,9,10,11,13],[2,3,7,8,10,12,14],[2,4,5,8,9,12,13],[2,4,6,10,12,13,14],[2,4,7,8,11,12,14],[2,5,6,7,9,10,12],[2,5,7,9,11,13,14],[3,4,5,7,11,13,14],[3,4,6,9,11,12,13],[3,4,7,8,9,10,11],[3,5,6,8,9,12,14],[3,5,6,8,10,11,14],[4,5,6,7,8,10,13]]; G[2630]:=Group([(2,12)(3,11)(4,10)(6,13)(7,8)]); # Design 2631: autom. group order 2, simple B[2631]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,8,12,13],[1,3,7,9,12,13,14],[1,4,5,6,11,12,14],[1,4,6,7,9,10,14],[1,4,8,9,10,13,14],[1,5,7,9,10,11,12],[1,5,8,10,11,12,13],[2,3,6,9,10,12,13],[2,3,7,8,10,11,14],[2,4,5,8,12,13,14],[2,4,6,9,11,12,13],[2,4,7,8,9,10,12],[2,5,6,7,10,12,14],[2,5,7,9,11,13,14],[3,4,5,7,9,11,13],[3,4,6,10,11,13,14],[3,4,7,8,11,12,14],[3,5,6,8,9,10,11],[3,5,6,8,9,12,14],[4,5,6,7,8,10,13]]; G[2631]:=Group([(2,12)(3,11)(4,10)(6,13)(7,8)]); # Design 2632: autom. group order 2, simple, residual B[2632]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,12,13,14],[1,3,6,7,9,11,14],[1,3,7,8,12,13,14],[1,4,5,6,11,12,13],[1,4,6,8,9,10,14],[1,4,7,8,9,10,13],[1,5,7,10,11,12,14],[1,5,8,9,10,11,12],[2,3,6,7,9,10,12],[2,3,8,10,11,13,14],[2,4,5,7,8,11,14],[2,4,6,8,10,12,14],[2,4,7,9,11,12,14],[2,5,6,9,10,11,13],[2,5,7,8,9,12,13],[3,4,5,9,12,13,14],[3,4,6,8,11,12,13],[3,4,7,9,10,11,13],[3,5,6,7,8,10,12],[3,5,6,8,9,11,14],[4,5,6,7,10,13,14]]; G[2632]:=Group([(2,12)(3,11)(4,10)(6,14)]); # Design 2633: autom. group order 2, simple B[2633]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,13,14],[1,3,6,7,8,12,13],[1,3,7,8,9,10,14],[1,4,5,6,9,11,12],[1,4,6,9,12,13,14],[1,4,7,8,9,11,14],[1,5,7,10,11,12,14],[1,5,8,10,11,12,13],[2,3,6,7,11,12,14],[2,3,8,9,11,12,13],[2,4,5,7,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,10,11,13],[2,5,6,8,9,10,12],[2,5,7,8,9,12,14],[3,4,5,8,11,13,14],[3,4,6,8,10,12,14],[3,4,7,9,10,12,13],[3,5,6,7,9,10,11],[3,5,6,9,11,13,14],[4,5,6,7,8,10,13]]; G[2633]:=Group([(2,12)(3,11)(4,10)(6,13)(7,8)(9,14)]); # Design 2634: autom. group order 2, simple, residual B[2634]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,12,13,14],[1,3,6,7,8,10,13],[1,3,7,8,9,12,14],[1,4,5,6,9,11,12],[1,4,6,9,10,13,14],[1,4,7,8,9,11,14],[1,5,7,10,11,12,14],[1,5,8,10,11,12,13],[2,3,6,7,11,12,14],[2,3,8,9,10,11,14],[2,4,5,7,11,13,14],[2,4,6,8,10,12,14],[2,4,7,9,10,12,13],[2,5,6,8,9,10,11],[2,5,7,8,9,12,13],[3,4,5,8,12,13,14],[3,4,6,8,11,12,13],[3,4,7,9,10,11,13],[3,5,6,7,9,10,12],[3,5,6,9,11,13,14],[4,5,6,7,8,10,14]]; G[2634]:=Group([(2,12)(3,11)(4,10)(6,14)(9,13)]); # Design 2635: autom. group order 2, simple B[2635]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,12,13,14],[1,3,6,7,8,10,13],[1,3,7,8,9,12,14],[1,4,5,6,9,11,12],[1,4,6,9,10,13,14],[1,4,7,8,9,11,14],[1,5,7,10,11,12,14],[1,5,8,10,11,12,13],[2,3,6,7,11,12,14],[2,3,8,9,11,12,13],[2,4,5,7,11,13,14],[2,4,6,8,10,12,14],[2,4,7,9,10,12,13],[2,5,6,8,9,10,11],[2,5,7,8,9,10,14],[3,4,5,8,12,13,14],[3,4,6,8,10,11,14],[3,4,7,9,10,11,13],[3,5,6,7,9,10,12],[3,5,6,9,11,13,14],[4,5,6,7,8,12,13]]; G[2635]:=Group([(2,12)(3,11)(4,10)(6,14)(9,13)]); # Design 2636: autom. group order 2, simple B[2636]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,12,13,14],[1,3,6,7,8,11,14],[1,3,7,8,9,12,14],[1,4,5,6,9,11,12],[1,4,6,9,10,13,14],[1,4,7,8,9,10,13],[1,5,7,10,11,12,14],[1,5,8,10,11,12,13],[2,3,6,7,10,12,13],[2,3,8,9,10,11,14],[2,4,5,7,11,13,14],[2,4,6,8,10,12,14],[2,4,7,9,11,12,14],[2,5,6,8,9,10,11],[2,5,7,8,9,12,13],[3,4,5,8,12,13,14],[3,4,6,8,11,12,13],[3,4,7,9,10,11,13],[3,5,6,7,9,10,12],[3,5,6,9,11,13,14],[4,5,6,7,8,10,14]]; G[2636]:=Group([(2,12)(3,11)(4,10)(6,14)(9,13)]); # Design 2637: autom. group order 2, simple B[2637]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,12,13,14],[1,3,6,7,8,11,14],[1,3,7,8,9,12,14],[1,4,5,6,9,11,12],[1,4,6,9,10,13,14],[1,4,7,8,9,10,13],[1,5,7,10,11,12,14],[1,5,8,10,11,12,13],[2,3,6,7,10,12,13],[2,3,8,9,11,12,13],[2,4,5,7,11,13,14],[2,4,6,8,10,12,14],[2,4,7,9,11,12,14],[2,5,6,8,9,10,11],[2,5,7,8,9,10,14],[3,4,5,8,12,13,14],[3,4,6,8,10,11,14],[3,4,7,9,10,11,13],[3,5,6,7,9,10,12],[3,5,6,9,11,13,14],[4,5,6,7,8,12,13]]; G[2637]:=Group([(2,12)(3,11)(4,10)(6,14)(9,13)]); # Design 2638: autom. group order 2, simple, residual B[2638]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,12,13,14],[1,3,6,7,9,11,14],[1,3,7,8,12,13,14],[1,4,5,6,11,12,13],[1,4,6,8,9,10,14],[1,4,7,8,9,10,13],[1,5,7,10,11,12,14],[1,5,8,9,10,11,12],[2,3,6,7,9,10,12],[2,3,8,10,11,13,14],[2,4,5,9,11,13,14],[2,4,6,8,10,12,14],[2,4,7,9,11,12,14],[2,5,6,7,8,10,11],[2,5,7,8,9,12,13],[3,4,5,7,8,12,14],[3,4,6,8,11,12,13],[3,4,7,9,10,11,13],[3,5,6,8,9,11,14],[3,5,6,9,10,12,13],[4,5,6,7,10,13,14]]; G[2638]:=Group([(2,12)(3,11)(4,10)(6,14)]); # Design 2639: autom. group order 2, simple B[2639]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,13,14],[1,3,6,7,8,12,13],[1,3,7,8,9,10,14],[1,4,5,6,9,11,12],[1,4,6,9,12,13,14],[1,4,7,8,9,11,14],[1,5,7,10,11,12,14],[1,5,8,10,11,12,13],[2,3,6,7,11,12,14],[2,3,8,9,11,12,13],[2,4,5,8,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,10,11,13],[2,5,6,7,9,10,12],[2,5,7,8,9,12,14],[3,4,5,7,11,13,14],[3,4,6,8,10,12,14],[3,4,7,9,10,12,13],[3,5,6,8,9,10,11],[3,5,6,9,11,13,14],[4,5,6,7,8,10,13]]; G[2639]:=Group([(2,12)(3,11)(4,10)(6,13)(7,8)(9,14)]); # Design 2640: autom. group order 2, simple, residual B[2640]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,12,13,14],[1,3,6,7,8,10,13],[1,3,7,8,9,12,14],[1,4,5,6,9,11,12],[1,4,6,9,10,13,14],[1,4,7,8,9,11,14],[1,5,7,10,11,12,14],[1,5,8,10,11,12,13],[2,3,6,7,11,12,14],[2,3,8,9,10,11,14],[2,4,5,8,11,13,14],[2,4,6,8,10,12,14],[2,4,7,9,10,12,13],[2,5,6,7,9,10,11],[2,5,7,8,9,12,13],[3,4,5,7,12,13,14],[3,4,6,8,11,12,13],[3,4,7,9,10,11,13],[3,5,6,8,9,10,12],[3,5,6,9,11,13,14],[4,5,6,7,8,10,14]]; G[2640]:=Group([(2,12)(3,11)(4,10)(6,14)(9,13)]); # Design 2641: autom. group order 2, simple B[2641]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,12,13,14],[1,3,6,7,8,10,13],[1,3,7,8,9,12,14],[1,4,5,6,9,11,12],[1,4,6,9,10,13,14],[1,4,7,8,9,11,14],[1,5,7,10,11,12,14],[1,5,8,10,11,12,13],[2,3,6,7,11,12,14],[2,3,8,9,11,12,13],[2,4,5,8,11,13,14],[2,4,6,8,10,12,14],[2,4,7,9,10,12,13],[2,5,6,7,9,10,11],[2,5,7,8,9,10,14],[3,4,5,7,12,13,14],[3,4,6,8,10,11,14],[3,4,7,9,10,11,13],[3,5,6,8,9,10,12],[3,5,6,9,11,13,14],[4,5,6,7,8,12,13]]; G[2641]:=Group([(2,12)(3,11)(4,10)(6,14)(9,13)]); # Design 2642: autom. group order 2, simple B[2642]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,12,13,14],[1,3,6,7,8,11,14],[1,3,7,8,9,12,14],[1,4,5,6,9,11,12],[1,4,6,9,10,13,14],[1,4,7,8,9,10,13],[1,5,7,10,11,12,14],[1,5,8,10,11,12,13],[2,3,6,7,10,12,13],[2,3,8,9,10,11,14],[2,4,5,8,11,13,14],[2,4,6,8,10,12,14],[2,4,7,9,11,12,14],[2,5,6,7,9,10,11],[2,5,7,8,9,12,13],[3,4,5,7,12,13,14],[3,4,6,8,11,12,13],[3,4,7,9,10,11,13],[3,5,6,8,9,10,12],[3,5,6,9,11,13,14],[4,5,6,7,8,10,14]]; G[2642]:=Group([(2,12)(3,11)(4,10)(6,14)(9,13)]); # Design 2643: autom. group order 2, simple B[2643]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,12,13,14],[1,3,6,7,8,11,14],[1,3,7,8,9,12,14],[1,4,5,6,9,11,12],[1,4,6,9,10,13,14],[1,4,7,8,9,10,13],[1,5,7,10,11,12,14],[1,5,8,10,11,12,13],[2,3,6,7,10,12,13],[2,3,8,9,11,12,13],[2,4,5,8,11,13,14],[2,4,6,8,10,12,14],[2,4,7,9,11,12,14],[2,5,6,7,9,10,11],[2,5,7,8,9,10,14],[3,4,5,7,12,13,14],[3,4,6,8,10,11,14],[3,4,7,9,10,11,13],[3,5,6,8,9,10,12],[3,5,6,9,11,13,14],[4,5,6,7,8,12,13]]; G[2643]:=Group([(2,12)(3,11)(4,10)(6,14)(9,13)]); # Design 2644: autom. group order 2, simple, residual B[2644]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,9,11,13,14],[1,3,6,7,8,12,14],[1,3,7,8,9,12,13],[1,4,5,6,9,11,12],[1,4,6,9,10,13,14],[1,4,7,8,9,11,14],[1,5,7,10,11,12,14],[1,5,8,10,11,12,13],[2,3,6,8,11,12,14],[2,3,7,9,10,11,14],[2,4,5,7,12,13,14],[2,4,6,7,11,12,13],[2,4,8,9,10,12,14],[2,5,6,8,9,10,12],[2,5,7,8,9,11,13],[3,4,5,8,11,13,14],[3,4,6,8,10,11,13],[3,4,7,9,10,12,13],[3,5,6,7,9,10,11],[3,5,6,9,12,13,14],[4,5,6,7,8,10,14]]; G[2644]:=Group([(2,11)(3,12)(4,10)(6,14)(9,13)]); # Design 2645: autom. group order 2, simple B[2645]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,13,14],[1,3,6,7,8,10,14],[1,3,7,8,9,12,14],[1,4,5,6,9,11,12],[1,4,6,9,10,13,14],[1,4,7,8,9,12,13],[1,5,7,10,11,12,13],[1,5,8,10,11,12,14],[2,3,6,8,11,12,13],[2,3,7,9,11,12,14],[2,4,5,7,12,13,14],[2,4,6,7,10,12,14],[2,4,8,9,10,11,14],[2,5,6,8,9,10,12],[2,5,7,8,9,10,13],[3,4,5,8,11,13,14],[3,4,6,8,10,12,13],[3,4,7,9,10,11,13],[3,5,6,7,9,10,11],[3,5,6,9,12,13,14],[4,5,6,7,8,11,14]]; G[2645]:=Group([(2,11)(3,12)(4,10)(6,13)(9,14)]); # Design 2646: autom. group order 2, simple B[2646]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,13,14],[1,3,6,7,8,12,13],[1,3,7,8,9,12,14],[1,4,5,6,9,11,12],[1,4,6,9,10,13,14],[1,4,7,8,9,10,14],[1,5,7,10,11,12,13],[1,5,8,10,11,12,14],[2,3,6,8,10,11,14],[2,3,7,9,11,12,14],[2,4,5,7,12,13,14],[2,4,6,7,10,12,14],[2,4,8,9,11,12,13],[2,5,6,8,9,10,12],[2,5,7,8,9,10,13],[3,4,5,8,11,13,14],[3,4,6,8,10,12,13],[3,4,7,9,10,11,13],[3,5,6,7,9,10,11],[3,5,6,9,12,13,14],[4,5,6,7,8,11,14]]; G[2646]:=Group([(2,11)(3,12)(4,10)(6,13)(9,14)]); # Design 2647: autom. group order 2, simple B[2647]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,12,13,14],[1,3,6,7,8,11,14],[1,3,7,8,9,12,14],[1,4,5,6,9,11,12],[1,4,6,9,10,13,14],[1,4,7,8,9,10,13],[1,5,7,10,11,12,14],[1,5,8,10,11,12,13],[2,3,6,8,10,12,13],[2,3,7,9,11,12,13],[2,4,5,7,11,13,14],[2,4,6,7,10,12,14],[2,4,8,9,11,12,14],[2,5,6,8,9,10,11],[2,5,7,8,9,10,14],[3,4,5,8,12,13,14],[3,4,6,8,10,11,14],[3,4,7,9,10,11,13],[3,5,6,7,9,10,12],[3,5,6,9,11,13,14],[4,5,6,7,8,12,13]]; G[2647]:=Group([(2,12)(3,11)(4,10)(6,14)(9,13)]); # Design 2648: autom. group order 2, simple B[2648]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,13,14],[1,3,6,7,8,12,13],[1,3,7,9,10,13,14],[1,4,5,6,11,12,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,14],[1,5,7,9,10,11,12],[1,5,8,10,11,12,13],[2,3,6,8,9,10,12],[2,3,7,8,11,12,14],[2,4,5,7,9,12,13],[2,4,6,9,10,11,13],[2,4,7,8,10,11,14],[2,5,6,7,10,12,14],[2,5,8,9,12,13,14],[3,4,5,8,11,13,14],[3,4,6,10,12,13,14],[3,4,7,9,11,12,13],[3,5,6,7,9,11,14],[3,5,6,8,9,10,11],[4,5,6,7,8,10,13]]; G[2648]:=Group([(2,11)(3,12)(4,10)(6,13)(7,8)]); # Design 2649: autom. group order 2, simple B[2649]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,13,14],[1,3,6,7,8,12,13],[1,3,7,9,10,13,14],[1,4,5,6,11,12,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,14],[1,5,7,9,10,11,12],[1,5,8,10,11,12,13],[2,3,6,8,9,10,12],[2,3,7,8,11,12,14],[2,4,5,7,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,11,14],[2,5,6,7,9,10,12],[2,5,8,9,12,13,14],[3,4,5,8,9,11,13],[3,4,6,10,12,13,14],[3,4,7,9,11,12,13],[3,5,6,7,9,11,14],[3,5,6,8,10,11,14],[4,5,6,7,8,10,13]]; G[2649]:=Group([(2,11)(3,12)(4,10)(6,13)(7,8)]); # Design 2650: autom. group order 2, simple B[2650]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,13,14],[1,3,6,7,8,12,13],[1,3,7,9,10,13,14],[1,4,5,6,11,12,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,14],[1,5,7,9,10,11,12],[1,5,8,10,11,12,13],[2,3,6,8,10,12,14],[2,3,7,8,9,11,12],[2,4,5,7,9,12,13],[2,4,6,9,10,11,13],[2,4,7,8,10,11,14],[2,5,6,7,10,12,14],[2,5,8,9,12,13,14],[3,4,5,8,11,13,14],[3,4,6,9,10,12,13],[3,4,7,11,12,13,14],[3,5,6,7,9,11,14],[3,5,6,8,9,10,11],[4,5,6,7,8,10,13]]; G[2650]:=Group([(2,11)(3,12)(4,10)(6,13)(7,8)]); # Design 2651: autom. group order 2, simple B[2651]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,13,14],[1,3,6,7,8,12,13],[1,3,7,9,10,13,14],[1,4,5,6,11,12,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,14],[1,5,7,9,10,11,12],[1,5,8,10,11,12,13],[2,3,6,8,10,12,14],[2,3,7,8,9,11,12],[2,4,5,7,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,11,14],[2,5,6,7,9,10,12],[2,5,8,9,12,13,14],[3,4,5,8,9,11,13],[3,4,6,9,10,12,13],[3,4,7,11,12,13,14],[3,5,6,7,9,11,14],[3,5,6,8,10,11,14],[4,5,6,7,8,10,13]]; G[2651]:=Group([(2,11)(3,12)(4,10)(6,13)(7,8)]); # Design 2652: autom. group order 2, simple B[2652]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,13,14],[1,3,6,7,8,12,13],[1,3,7,8,9,12,14],[1,4,5,6,11,12,14],[1,4,6,9,10,13,14],[1,4,7,8,9,10,14],[1,5,7,9,10,11,12],[1,5,8,10,11,12,13],[2,3,6,8,10,12,14],[2,3,7,9,10,11,13],[2,4,5,7,9,12,13],[2,4,6,8,9,11,12],[2,4,7,8,10,11,14],[2,5,6,7,10,12,14],[2,5,8,9,12,13,14],[3,4,5,8,11,13,14],[3,4,6,9,10,12,13],[3,4,7,11,12,13,14],[3,5,6,7,9,11,14],[3,5,6,8,9,10,11],[4,5,6,7,8,10,13]]; G[2652]:=Group([(2,11)(3,12)(4,10)(6,13)(7,8)]); # Design 2653: autom. group order 2, simple B[2653]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,13,14],[1,3,6,7,8,12,13],[1,3,7,8,9,12,14],[1,4,5,6,11,12,14],[1,4,6,9,10,13,14],[1,4,7,8,9,10,14],[1,5,7,9,10,11,12],[1,5,8,10,11,12,13],[2,3,6,8,10,12,14],[2,3,7,9,10,11,13],[2,4,5,7,12,13,14],[2,4,6,8,9,11,12],[2,4,7,8,10,11,14],[2,5,6,7,9,10,12],[2,5,8,9,12,13,14],[3,4,5,8,9,11,13],[3,4,6,9,10,12,13],[3,4,7,11,12,13,14],[3,5,6,7,9,11,14],[3,5,6,8,10,11,14],[4,5,6,7,8,10,13]]; G[2653]:=Group([(2,11)(3,12)(4,10)(6,13)(7,8)]); # Design 2654: autom. group order 2, simple B[2654]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,10,14],[1,3,6,7,8,12,13],[1,3,7,9,10,13,14],[1,4,5,6,11,12,14],[1,4,6,8,9,12,14],[1,4,7,9,11,13,14],[1,5,7,9,10,11,12],[1,5,8,10,11,12,13],[2,3,6,9,11,12,13],[2,3,7,8,11,12,14],[2,4,5,7,9,12,13],[2,4,6,9,10,11,13],[2,4,7,8,10,11,14],[2,5,6,7,10,12,14],[2,5,8,9,12,13,14],[3,4,5,8,11,13,14],[3,4,6,10,12,13,14],[3,4,7,8,9,10,12],[3,5,6,7,9,11,14],[3,5,6,8,9,10,11],[4,5,6,7,8,10,13]]; G[2654]:=Group([(2,11)(3,12)(4,10)(6,13)(7,8)]); # Design 2655: autom. group order 2, simple B[2655]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,10,14],[1,3,6,7,8,12,13],[1,3,7,9,10,13,14],[1,4,5,6,11,12,14],[1,4,6,8,9,12,14],[1,4,7,9,11,13,14],[1,5,7,9,10,11,12],[1,5,8,10,11,12,13],[2,3,6,9,11,12,13],[2,3,7,8,11,12,14],[2,4,5,7,9,12,13],[2,4,6,10,11,13,14],[2,4,7,8,9,10,11],[2,5,6,7,10,12,14],[2,5,8,9,12,13,14],[3,4,5,8,11,13,14],[3,4,6,9,10,12,13],[3,4,7,8,10,12,14],[3,5,6,7,9,11,14],[3,5,6,8,9,10,11],[4,5,6,7,8,10,13]]; G[2655]:=Group([(2,11)(3,12)(4,10)(6,13)(7,8)]); # Design 2656: autom. group order 2, simple B[2656]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,10,14],[1,3,6,7,8,12,13],[1,3,7,9,10,13,14],[1,4,5,6,11,12,14],[1,4,6,8,9,12,14],[1,4,7,9,11,13,14],[1,5,7,9,10,11,12],[1,5,8,10,11,12,13],[2,3,6,9,11,12,13],[2,3,7,8,11,12,14],[2,4,5,7,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,11,14],[2,5,6,7,9,10,12],[2,5,8,9,12,13,14],[3,4,5,8,9,11,13],[3,4,6,10,12,13,14],[3,4,7,8,9,10,12],[3,5,6,7,9,11,14],[3,5,6,8,10,11,14],[4,5,6,7,8,10,13]]; G[2656]:=Group([(2,11)(3,12)(4,10)(6,13)(7,8)]); # Design 2657: autom. group order 2, simple B[2657]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,10,14],[1,3,6,7,8,12,13],[1,3,7,9,10,13,14],[1,4,5,6,11,12,14],[1,4,6,8,9,12,14],[1,4,7,9,11,13,14],[1,5,7,9,10,11,12],[1,5,8,10,11,12,13],[2,3,6,9,11,12,13],[2,3,7,8,11,12,14],[2,4,5,7,12,13,14],[2,4,6,10,11,13,14],[2,4,7,8,9,10,11],[2,5,6,7,9,10,12],[2,5,8,9,12,13,14],[3,4,5,8,9,11,13],[3,4,6,9,10,12,13],[3,4,7,8,10,12,14],[3,5,6,7,9,11,14],[3,5,6,8,10,11,14],[4,5,6,7,8,10,13]]; G[2657]:=Group([(2,11)(3,12)(4,10)(6,13)(7,8)]); # Design 2658: autom. group order 2, simple B[2658]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,10,14],[1,3,6,7,8,12,13],[1,3,7,9,10,13,14],[1,4,5,6,11,12,14],[1,4,6,8,9,12,14],[1,4,7,9,11,13,14],[1,5,7,9,10,11,12],[1,5,8,10,11,12,13],[2,3,6,11,12,13,14],[2,3,7,8,9,11,12],[2,4,5,7,9,12,13],[2,4,6,9,10,11,13],[2,4,7,8,10,11,14],[2,5,6,7,10,12,14],[2,5,8,9,12,13,14],[3,4,5,8,11,13,14],[3,4,6,9,10,12,13],[3,4,7,8,10,12,14],[3,5,6,7,9,11,14],[3,5,6,8,9,10,11],[4,5,6,7,8,10,13]]; G[2658]:=Group([(2,11)(3,12)(4,10)(6,13)(7,8)]); # Design 2659: autom. group order 2, simple B[2659]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,10,14],[1,3,6,7,8,12,13],[1,3,7,9,10,13,14],[1,4,5,6,11,12,14],[1,4,6,8,9,12,14],[1,4,7,9,11,13,14],[1,5,7,9,10,11,12],[1,5,8,10,11,12,13],[2,3,6,11,12,13,14],[2,3,7,8,9,11,12],[2,4,5,7,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,11,14],[2,5,6,7,9,10,12],[2,5,8,9,12,13,14],[3,4,5,8,9,11,13],[3,4,6,9,10,12,13],[3,4,7,8,10,12,14],[3,5,6,7,9,11,14],[3,5,6,8,10,11,14],[4,5,6,7,8,10,13]]; G[2659]:=Group([(2,11)(3,12)(4,10)(6,13)(7,8)]); # Design 2660: autom. group order 2, simple, residual B[2660]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,11,13,14],[1,2,6,8,12,13,14],[1,3,6,7,9,10,12],[1,3,7,8,9,11,13],[1,4,5,6,9,11,13],[1,4,6,8,9,12,14],[1,4,7,8,10,12,13],[1,5,7,8,10,11,14],[1,5,9,10,11,12,14],[2,3,6,8,10,11,12],[2,3,7,8,9,11,14],[2,4,5,7,8,12,14],[2,4,6,9,10,11,14],[2,4,7,9,11,12,13],[2,5,6,8,9,10,13],[2,5,7,9,10,12,13],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,13,14],[3,5,6,7,9,12,14],[3,5,6,8,11,12,13],[4,5,6,7,8,10,11]]; G[2660]:=Group([(1,14)(2,13)(5,10)]); # Design 2661: autom. group order 2, simple, residual B[2661]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,11,13,14],[1,2,6,8,10,12,13],[1,3,6,7,9,12,14],[1,3,7,8,9,11,13],[1,4,5,6,11,12,13],[1,4,6,8,9,12,14],[1,4,7,8,9,10,13],[1,5,7,8,10,11,14],[1,5,9,10,11,12,14],[2,3,6,8,9,10,11],[2,3,7,8,11,12,14],[2,4,5,7,8,12,14],[2,4,6,9,10,11,14],[2,4,7,9,11,12,13],[2,5,6,8,9,13,14],[2,5,7,9,10,12,13],[3,4,5,9,11,13,14],[3,4,6,7,10,13,14],[3,4,8,10,12,13,14],[3,5,6,7,9,10,12],[3,5,6,8,11,12,13],[4,5,6,7,8,10,11]]; G[2661]:=Group([(1,14)(2,13)(5,10)(9,12)]); # Design 2662: autom. group order 2, simple, residual B[2662]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,11,13,14],[1,2,6,8,9,10,13],[1,3,6,7,8,12,14],[1,3,7,9,11,12,13],[1,4,5,6,11,12,13],[1,4,6,8,9,12,14],[1,4,7,8,9,10,13],[1,5,7,9,10,11,14],[1,5,8,10,11,12,14],[2,3,6,9,10,11,12],[2,3,7,8,9,11,14],[2,4,5,7,9,12,14],[2,4,6,8,10,11,14],[2,4,7,8,11,12,13],[2,5,6,9,12,13,14],[2,5,7,8,10,12,13],[3,4,5,8,11,13,14],[3,4,6,7,10,13,14],[3,4,9,10,12,13,14],[3,5,6,7,8,10,12],[3,5,6,8,9,11,13],[4,5,6,7,9,10,11]]; G[2662]:=Group([(1,14)(2,13)(5,10)(8,12)]); # Design 2663: autom. group order 2, simple, residual B[2663]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,13,14],[1,2,6,9,11,13,14],[1,3,6,7,9,10,12],[1,3,7,8,11,12,13],[1,4,5,6,8,12,13],[1,4,6,9,11,12,14],[1,4,7,9,10,11,13],[1,5,7,8,10,11,14],[1,5,8,9,10,12,14],[2,3,6,8,9,10,11],[2,3,7,8,11,12,14],[2,4,5,7,9,11,14],[2,4,6,8,10,12,14],[2,4,7,8,9,12,13],[2,5,6,10,11,12,13],[2,5,7,9,10,12,13],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,4,8,9,10,13,14],[3,5,6,7,9,12,14],[3,5,6,8,9,11,13],[4,5,6,7,8,10,11]]; G[2663]:=Group([(1,14)(2,13)(5,10)]); # Design 2664: autom. group order 2, simple, residual B[2664]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,13,14],[1,2,6,9,10,11,13],[1,3,6,7,9,12,14],[1,3,7,8,11,12,13],[1,4,5,6,8,12,13],[1,4,6,9,11,12,14],[1,4,7,9,10,11,13],[1,5,7,8,10,11,14],[1,5,8,9,10,12,14],[2,3,6,8,10,11,12],[2,3,7,8,9,11,14],[2,4,5,7,11,12,14],[2,4,6,8,9,10,14],[2,4,7,8,9,12,13],[2,5,6,11,12,13,14],[2,5,7,9,10,12,13],[3,4,5,9,11,13,14],[3,4,6,7,10,13,14],[3,4,8,10,12,13,14],[3,5,6,7,9,10,12],[3,5,6,8,9,11,13],[4,5,6,7,8,10,11]]; G[2664]:=Group([(1,14)(2,13)(5,10)(9,12)]); # Design 2665: autom. group order 2, simple, residual B[2665]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,13,14],[1,2,6,10,11,12,13],[1,3,6,7,9,11,14],[1,3,7,8,9,12,13],[1,4,5,6,8,11,13],[1,4,6,9,11,12,14],[1,4,7,9,10,12,13],[1,5,7,8,10,12,14],[1,5,8,9,10,11,14],[2,3,6,8,9,10,12],[2,3,7,8,11,12,14],[2,4,5,7,11,12,14],[2,4,6,8,9,10,14],[2,4,7,8,9,11,13],[2,5,6,9,12,13,14],[2,5,7,9,10,11,13],[3,4,5,9,12,13,14],[3,4,6,7,10,13,14],[3,4,8,10,11,13,14],[3,5,6,7,9,10,11],[3,5,6,8,11,12,13],[4,5,6,7,8,10,12]]; G[2665]:=Group([(1,14)(2,13)(5,10)(9,11)]); # Design 2666: autom. group order 2, simple B[2666]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,13,14],[1,3,6,7,8,10,14],[1,3,7,8,9,12,14],[1,4,5,6,9,11,12],[1,4,6,9,10,13,14],[1,4,7,8,9,12,13],[1,5,7,10,11,12,13],[1,5,8,10,11,12,14],[2,3,6,8,11,12,13],[2,3,7,9,10,12,13],[2,4,5,7,12,13,14],[2,4,6,8,10,12,14],[2,4,7,9,10,11,14],[2,5,6,8,9,10,12],[2,5,7,8,9,11,14],[3,4,5,8,11,13,14],[3,4,6,7,11,12,14],[3,4,8,9,10,11,13],[3,5,6,7,9,10,11],[3,5,6,9,12,13,14],[4,5,6,7,8,10,13]]; G[2666]:=Group([(2,11)(3,12)(4,10)(6,13)(9,14)]); # Design 2667: autom. group order 2, simple, residual B[2667]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,12,13,14],[1,3,6,7,8,10,13],[1,3,7,8,9,12,14],[1,4,5,6,9,11,12],[1,4,6,9,10,13,14],[1,4,7,8,9,11,14],[1,5,7,10,11,12,14],[1,5,8,10,11,12,13],[2,3,6,8,11,12,14],[2,3,7,9,10,11,14],[2,4,5,7,11,13,14],[2,4,6,8,10,12,14],[2,4,7,9,10,12,13],[2,5,6,8,9,10,11],[2,5,7,8,9,12,13],[3,4,5,8,12,13,14],[3,4,6,7,11,12,13],[3,4,8,9,10,11,13],[3,5,6,7,9,10,12],[3,5,6,9,11,13,14],[4,5,6,7,8,10,14]]; G[2667]:=Group([(2,12)(3,11)(4,10)(6,14)(9,13)]); # Design 2668: autom. group order 2, simple B[2668]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,13,14],[1,3,6,7,8,10,14],[1,3,7,8,9,12,14],[1,4,5,6,9,11,12],[1,4,6,9,10,13,14],[1,4,7,8,9,12,13],[1,5,7,10,11,12,13],[1,5,8,10,11,12,14],[2,3,6,8,11,12,13],[2,3,7,9,11,12,14],[2,4,5,7,12,13,14],[2,4,6,8,10,12,14],[2,4,7,9,10,11,14],[2,5,6,8,9,10,12],[2,5,7,8,9,10,13],[3,4,5,8,11,13,14],[3,4,6,7,10,12,13],[3,4,8,9,10,11,13],[3,5,6,7,9,10,11],[3,5,6,9,12,13,14],[4,5,6,7,8,11,14]]; G[2668]:=Group([(2,11)(3,12)(4,10)(6,13)(9,14)]); # Design 2669: autom. group order 2, simple B[2669]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,12,13,14],[1,3,6,7,8,10,13],[1,3,7,8,9,12,14],[1,4,5,6,9,11,12],[1,4,6,9,10,13,14],[1,4,7,8,9,11,14],[1,5,7,10,11,12,14],[1,5,8,10,11,12,13],[2,3,6,8,11,12,14],[2,3,7,9,11,12,13],[2,4,5,7,11,13,14],[2,4,6,8,10,12,14],[2,4,7,9,10,12,13],[2,5,6,8,9,10,11],[2,5,7,8,9,10,14],[3,4,5,8,12,13,14],[3,4,6,7,10,11,14],[3,4,8,9,10,11,13],[3,5,6,7,9,10,12],[3,5,6,9,11,13,14],[4,5,6,7,8,12,13]]; G[2669]:=Group([(2,12)(3,11)(4,10)(6,14)(9,13)]); # Design 2670: autom. group order 2, simple, residual B[2670]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,7,9,10,13],[1,3,7,8,12,13,14],[1,4,5,6,11,12,13],[1,4,6,8,9,10,14],[1,4,7,9,11,13,14],[1,5,7,10,11,12,14],[1,5,8,9,10,11,12],[2,3,6,9,11,12,14],[2,3,7,8,10,11,14],[2,4,5,7,9,11,14],[2,4,6,10,12,13,14],[2,4,7,9,10,12,13],[2,5,6,8,10,11,13],[2,5,7,8,9,12,13],[3,4,5,8,12,13,14],[3,4,6,7,8,11,12],[3,4,8,9,10,11,13],[3,5,6,7,9,10,12],[3,5,6,9,11,13,14],[4,5,6,7,8,10,14]]; G[2670]:=Group([(2,12)(3,11)(4,10)(6,14)]); # Design 2671: autom. group order 2, simple B[2671]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,13,14],[1,3,6,7,8,12,13],[1,3,7,9,10,13,14],[1,4,5,6,11,12,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,14],[1,5,7,9,10,11,12],[1,5,8,10,11,12,13],[2,3,6,8,9,10,12],[2,3,7,8,11,12,14],[2,4,5,7,9,12,13],[2,4,6,9,10,11,13],[2,4,8,10,12,13,14],[2,5,6,7,10,12,14],[2,5,7,8,9,11,14],[3,4,5,8,11,13,14],[3,4,6,7,10,11,14],[3,4,7,9,11,12,13],[3,5,6,8,9,10,11],[3,5,6,9,12,13,14],[4,5,6,7,8,10,13]]; G[2671]:=Group([(2,11)(3,12)(4,10)(6,13)(7,8)]); # Design 2672: autom. group order 2, simple B[2672]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,13,14],[1,3,6,7,8,12,13],[1,3,7,9,10,13,14],[1,4,5,6,11,12,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,14],[1,5,7,9,10,11,12],[1,5,8,10,11,12,13],[2,3,6,8,9,10,12],[2,3,7,8,11,12,14],[2,4,5,7,12,13,14],[2,4,6,9,10,11,13],[2,4,8,10,12,13,14],[2,5,6,7,9,10,12],[2,5,7,8,9,11,14],[3,4,5,8,9,11,13],[3,4,6,7,10,11,14],[3,4,7,9,11,12,13],[3,5,6,8,10,11,14],[3,5,6,9,12,13,14],[4,5,6,7,8,10,13]]; G[2672]:=Group([(2,11)(3,12)(4,10)(6,13)(7,8)]); # Design 2673: autom. group order 2, simple, residual B[2673]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,13,14],[1,3,6,7,8,12,13],[1,3,7,8,9,12,14],[1,4,5,6,9,11,12],[1,4,6,9,10,13,14],[1,4,7,8,9,10,14],[1,5,7,10,11,12,14],[1,5,8,10,11,12,13],[2,3,6,8,10,12,14],[2,3,7,9,10,11,13],[2,4,5,7,12,13,14],[2,4,6,8,11,12,14],[2,4,8,9,10,12,13],[2,5,6,7,9,10,12],[2,5,7,8,9,11,14],[3,4,5,8,11,13,14],[3,4,6,7,10,11,14],[3,4,7,9,11,12,13],[3,5,6,8,9,10,11],[3,5,6,9,12,13,14],[4,5,6,7,8,10,13]]; G[2673]:=Group([(2,11)(3,12)(4,10)(6,13)(7,8)(9,14)]); # Design 2674: autom. group order 2, simple, residual B[2674]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,10,14],[1,3,6,7,8,12,13],[1,3,7,9,10,13,14],[1,4,5,6,11,12,14],[1,4,6,8,9,12,14],[1,4,7,9,11,13,14],[1,5,7,9,10,11,12],[1,5,8,10,11,12,13],[2,3,6,9,11,12,13],[2,3,7,8,11,12,14],[2,4,5,7,9,12,13],[2,4,6,9,10,11,13],[2,4,8,10,12,13,14],[2,5,6,7,10,12,14],[2,5,7,8,9,11,14],[3,4,5,8,11,13,14],[3,4,6,7,10,11,14],[3,4,7,8,9,10,12],[3,5,6,8,9,10,11],[3,5,6,9,12,13,14],[4,5,6,7,8,10,13]]; G[2674]:=Group([(2,11)(3,12)(4,10)(6,13)(7,8)]); # Design 2675: autom. group order 2, simple, residual B[2675]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,10,14],[1,3,6,7,8,12,13],[1,3,7,9,10,13,14],[1,4,5,6,11,12,14],[1,4,6,8,9,12,14],[1,4,7,9,11,13,14],[1,5,7,9,10,11,12],[1,5,8,10,11,12,13],[2,3,6,9,11,12,13],[2,3,7,8,11,12,14],[2,4,5,7,9,12,13],[2,4,6,10,11,13,14],[2,4,8,9,10,12,13],[2,5,6,7,10,12,14],[2,5,7,8,9,11,14],[3,4,5,8,11,13,14],[3,4,6,7,9,10,11],[3,4,7,8,10,12,14],[3,5,6,8,9,10,11],[3,5,6,9,12,13,14],[4,5,6,7,8,10,13]]; G[2675]:=Group([(2,11)(3,12)(4,10)(6,13)(7,8)]); # Design 2676: autom. group order 2, simple, residual B[2676]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,10,14],[1,3,6,7,8,12,13],[1,3,7,9,10,13,14],[1,4,5,6,11,12,14],[1,4,6,8,9,12,14],[1,4,7,9,11,13,14],[1,5,7,9,10,11,12],[1,5,8,10,11,12,13],[2,3,6,9,11,12,13],[2,3,7,8,11,12,14],[2,4,5,7,12,13,14],[2,4,6,9,10,11,13],[2,4,8,10,12,13,14],[2,5,6,7,9,10,12],[2,5,7,8,9,11,14],[3,4,5,8,9,11,13],[3,4,6,7,10,11,14],[3,4,7,8,9,10,12],[3,5,6,8,10,11,14],[3,5,6,9,12,13,14],[4,5,6,7,8,10,13]]; G[2676]:=Group([(2,11)(3,12)(4,10)(6,13)(7,8)]); # Design 2677: autom. group order 2, simple, residual B[2677]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,10,14],[1,3,6,7,8,12,13],[1,3,7,9,10,13,14],[1,4,5,6,11,12,14],[1,4,6,8,9,12,14],[1,4,7,9,11,13,14],[1,5,7,9,10,11,12],[1,5,8,10,11,12,13],[2,3,6,9,11,12,13],[2,3,7,8,11,12,14],[2,4,5,7,12,13,14],[2,4,6,10,11,13,14],[2,4,8,9,10,12,13],[2,5,6,7,9,10,12],[2,5,7,8,9,11,14],[3,4,5,8,9,11,13],[3,4,6,7,9,10,11],[3,4,7,8,10,12,14],[3,5,6,8,10,11,14],[3,5,6,9,12,13,14],[4,5,6,7,8,10,13]]; G[2677]:=Group([(2,11)(3,12)(4,10)(6,13)(7,8)]); # Design 2678: autom. group order 2, simple, residual B[2678]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,11,13,14],[1,2,6,8,12,13,14],[1,3,6,7,9,10,12],[1,3,7,8,9,11,13],[1,4,5,6,9,11,14],[1,4,6,8,9,12,13],[1,4,7,8,10,12,14],[1,5,7,8,10,11,13],[1,5,9,10,11,12,14],[2,3,6,8,10,11,12],[2,3,7,8,9,11,14],[2,4,5,8,11,12,13],[2,4,6,7,9,10,13],[2,4,7,9,11,12,14],[2,5,6,8,9,10,14],[2,5,7,9,10,12,13],[3,4,5,7,12,13,14],[3,4,6,10,11,13,14],[3,4,8,9,10,13,14],[3,5,6,7,8,12,14],[3,5,6,9,11,12,13],[4,5,6,7,8,10,11]]; G[2678]:=Group([(1,13)(2,14)(5,10)(7,11)]); # Design 2679: autom. group order 2, simple B[2679]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,13,14],[1,3,6,7,9,10,12],[1,3,7,8,11,12,13],[1,4,5,6,8,12,14],[1,4,6,9,10,11,14],[1,4,7,10,12,13,14],[1,5,7,8,9,11,14],[1,5,8,9,10,12,13],[2,3,6,9,12,13,14],[2,3,7,8,9,12,14],[2,4,5,9,11,12,13],[2,4,6,7,8,10,13],[2,4,7,8,9,10,14],[2,5,6,8,10,11,12],[2,5,7,10,11,12,14],[3,4,5,7,11,13,14],[3,4,6,8,11,12,14],[3,4,8,9,10,11,13],[3,5,6,7,9,10,11],[3,5,6,8,10,13,14],[4,5,6,7,9,12,13]]; G[2679]:=Group([(1,11)(3,12)(4,10)(7,8)(9,14)]); # Design 2680: autom. group order 2, simple, residual B[2680]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,13,14],[1,3,6,7,9,10,12],[1,3,7,8,11,12,13],[1,4,5,6,8,12,14],[1,4,6,9,10,11,14],[1,4,7,10,12,13,14],[1,5,7,8,9,11,14],[1,5,8,9,10,12,13],[2,3,6,8,10,13,14],[2,3,7,8,9,12,14],[2,4,5,9,11,12,13],[2,4,6,7,9,12,13],[2,4,7,8,9,10,14],[2,5,6,8,10,11,12],[2,5,7,10,11,12,14],[3,4,5,7,11,13,14],[3,4,6,8,11,12,14],[3,4,8,9,10,11,13],[3,5,6,7,9,10,11],[3,5,6,9,12,13,14],[4,5,6,7,8,10,13]]; G[2680]:=Group([(1,11)(3,12)(4,10)(7,8)(9,14)]); # Design 2681: autom. group order 2, simple, residual B[2681]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,13,14],[1,3,6,7,8,12,13],[1,3,7,8,9,12,14],[1,4,5,6,9,11,12],[1,4,6,9,10,13,14],[1,4,7,8,9,10,14],[1,5,7,10,11,12,14],[1,5,8,10,11,12,13],[2,3,6,8,10,11,14],[2,3,7,9,10,12,13],[2,4,5,8,12,13,14],[2,4,6,7,10,12,14],[2,4,7,9,11,12,13],[2,5,6,8,9,10,12],[2,5,7,8,9,11,14],[3,4,5,7,11,13,14],[3,4,6,8,11,12,14],[3,4,8,9,10,11,13],[3,5,6,7,9,10,11],[3,5,6,9,12,13,14],[4,5,6,7,8,10,13]]; G[2681]:=Group([(2,11)(3,12)(4,10)(6,13)(7,8)(9,14)]); # Design 2682: autom. group order 2, simple, residual B[2682]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,9,11,13,14],[1,3,6,7,8,12,14],[1,3,7,8,9,12,13],[1,4,5,6,9,11,12],[1,4,6,9,10,13,14],[1,4,7,8,9,11,14],[1,5,7,10,11,12,14],[1,5,8,10,11,12,13],[2,3,6,8,11,12,14],[2,3,7,9,10,11,14],[2,4,5,8,12,13,14],[2,4,6,7,11,12,13],[2,4,8,9,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,11,13],[3,4,5,7,11,13,14],[3,4,6,8,10,11,13],[3,4,7,9,10,12,13],[3,5,6,8,9,10,11],[3,5,6,9,12,13,14],[4,5,6,7,8,10,14]]; G[2682]:=Group([(2,11)(3,12)(4,10)(6,14)(9,13)]); # Design 2683: autom. group order 2, simple B[2683]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,13,14],[1,3,6,7,8,10,14],[1,3,7,8,9,12,14],[1,4,5,6,9,11,12],[1,4,6,9,10,13,14],[1,4,7,8,9,12,13],[1,5,7,10,11,12,13],[1,5,8,10,11,12,14],[2,3,6,8,11,12,13],[2,3,7,9,11,12,14],[2,4,5,8,12,13,14],[2,4,6,7,10,12,14],[2,4,8,9,10,11,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,13],[3,4,5,7,11,13,14],[3,4,6,8,10,12,13],[3,4,7,9,10,11,13],[3,5,6,8,9,10,11],[3,5,6,9,12,13,14],[4,5,6,7,8,11,14]]; G[2683]:=Group([(2,11)(3,12)(4,10)(6,13)(9,14)]); # Design 2684: autom. group order 2, simple B[2684]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,12,13,14],[1,3,6,7,8,10,13],[1,3,7,8,9,12,14],[1,4,5,6,9,11,12],[1,4,6,9,10,13,14],[1,4,7,8,9,11,14],[1,5,7,10,11,12,14],[1,5,8,10,11,12,13],[2,3,6,8,11,12,14],[2,3,7,9,11,12,13],[2,4,5,8,11,13,14],[2,4,6,7,10,12,14],[2,4,8,9,10,12,13],[2,5,6,7,9,10,11],[2,5,7,8,9,10,14],[3,4,5,7,12,13,14],[3,4,6,8,10,11,14],[3,4,7,9,10,11,13],[3,5,6,8,9,10,12],[3,5,6,9,11,13,14],[4,5,6,7,8,12,13]]; G[2684]:=Group([(2,12)(3,11)(4,10)(6,14)(9,13)]); # Design 2685: autom. group order 2, simple B[2685]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,13,14],[1,3,6,7,8,12,13],[1,3,7,8,9,12,14],[1,4,5,6,9,11,12],[1,4,6,9,10,13,14],[1,4,7,8,9,10,14],[1,5,7,10,11,12,13],[1,5,8,10,11,12,14],[2,3,6,8,10,11,14],[2,3,7,9,11,12,14],[2,4,5,8,12,13,14],[2,4,6,7,10,12,14],[2,4,8,9,11,12,13],[2,5,6,7,9,10,12],[2,5,7,8,9,10,13],[3,4,5,7,11,13,14],[3,4,6,8,10,12,13],[3,4,7,9,10,11,13],[3,5,6,8,9,10,11],[3,5,6,9,12,13,14],[4,5,6,7,8,11,14]]; G[2685]:=Group([(2,11)(3,12)(4,10)(6,13)(9,14)]); # Design 2686: autom. group order 2, simple B[2686]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,12,13,14],[1,3,6,7,8,11,14],[1,3,7,8,9,12,14],[1,4,5,6,9,11,12],[1,4,6,9,10,13,14],[1,4,7,8,9,10,13],[1,5,7,10,11,12,14],[1,5,8,10,11,12,13],[2,3,6,8,10,12,13],[2,3,7,9,11,12,13],[2,4,5,8,11,13,14],[2,4,6,7,10,12,14],[2,4,8,9,11,12,14],[2,5,6,7,9,10,11],[2,5,7,8,9,10,14],[3,4,5,7,12,13,14],[3,4,6,8,10,11,14],[3,4,7,9,10,11,13],[3,5,6,8,9,10,12],[3,5,6,9,11,13,14],[4,5,6,7,8,12,13]]; G[2686]:=Group([(2,12)(3,11)(4,10)(6,14)(9,13)]); # Design 2687: autom. group order 2, simple, residual B[2687]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,9,11,12,14],[1,3,6,7,11,13,14],[1,3,7,8,9,10,12],[1,4,5,6,9,12,13],[1,4,6,8,10,11,14],[1,4,7,8,12,13,14],[1,5,7,9,10,11,14],[1,5,8,9,11,12,13],[2,3,6,8,11,12,13],[2,3,7,9,12,13,14],[2,4,5,8,11,13,14],[2,4,6,9,10,12,14],[2,4,7,9,10,11,13],[2,5,6,7,8,9,14],[2,5,7,8,10,11,12],[3,4,5,7,11,12,14],[3,4,6,7,8,9,11],[3,4,8,9,10,13,14],[3,5,6,8,10,12,14],[3,5,6,9,10,11,13],[4,5,6,7,10,12,13]]; G[2687]:=Group([(1,9)(3,14)(4,6)(5,12)(7,10)(8,11)]); # Design 2688: autom. group order 2, simple B[2688]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,13,14],[1,3,6,7,8,10,14],[1,3,7,8,9,12,14],[1,4,5,6,9,11,12],[1,4,6,9,10,13,14],[1,4,7,8,9,12,13],[1,5,7,10,11,12,13],[1,5,8,10,11,12,14],[2,3,6,8,11,12,13],[2,3,7,9,10,12,13],[2,4,5,8,12,13,14],[2,4,6,8,10,12,14],[2,4,7,9,10,11,14],[2,5,6,7,9,10,12],[2,5,7,8,9,11,14],[3,4,5,7,11,13,14],[3,4,6,7,11,12,14],[3,4,8,9,10,11,13],[3,5,6,8,9,10,11],[3,5,6,9,12,13,14],[4,5,6,7,8,10,13]]; G[2688]:=Group([(2,11)(3,12)(4,10)(6,13)(9,14)]); # Design 2689: autom. group order 2, simple, residual B[2689]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,12,13,14],[1,3,6,7,8,10,13],[1,3,7,8,9,12,14],[1,4,5,6,9,11,12],[1,4,6,9,10,13,14],[1,4,7,8,9,11,14],[1,5,7,10,11,12,14],[1,5,8,10,11,12,13],[2,3,6,8,11,12,14],[2,3,7,9,10,11,14],[2,4,5,8,11,13,14],[2,4,6,8,10,12,14],[2,4,7,9,10,12,13],[2,5,6,7,9,10,11],[2,5,7,8,9,12,13],[3,4,5,7,12,13,14],[3,4,6,7,11,12,13],[3,4,8,9,10,11,13],[3,5,6,8,9,10,12],[3,5,6,9,11,13,14],[4,5,6,7,8,10,14]]; G[2689]:=Group([(2,12)(3,11)(4,10)(6,14)(9,13)]); # Design 2690: autom. group order 2, simple B[2690]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,13,14],[1,3,6,7,8,10,14],[1,3,7,8,9,12,14],[1,4,5,6,9,11,12],[1,4,6,9,10,13,14],[1,4,7,8,9,12,13],[1,5,7,10,11,12,13],[1,5,8,10,11,12,14],[2,3,6,8,11,12,13],[2,3,7,9,11,12,14],[2,4,5,8,12,13,14],[2,4,6,8,10,12,14],[2,4,7,9,10,11,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,13],[3,4,5,7,11,13,14],[3,4,6,7,10,12,13],[3,4,8,9,10,11,13],[3,5,6,8,9,10,11],[3,5,6,9,12,13,14],[4,5,6,7,8,11,14]]; G[2690]:=Group([(2,11)(3,12)(4,10)(6,13)(9,14)]); # Design 2691: autom. group order 2, simple B[2691]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,12,13,14],[1,3,6,7,8,10,13],[1,3,7,8,9,12,14],[1,4,5,6,9,11,12],[1,4,6,9,10,13,14],[1,4,7,8,9,11,14],[1,5,7,10,11,12,14],[1,5,8,10,11,12,13],[2,3,6,8,11,12,14],[2,3,7,9,11,12,13],[2,4,5,8,11,13,14],[2,4,6,8,10,12,14],[2,4,7,9,10,12,13],[2,5,6,7,9,10,11],[2,5,7,8,9,10,14],[3,4,5,7,12,13,14],[3,4,6,7,10,11,14],[3,4,8,9,10,11,13],[3,5,6,8,9,10,12],[3,5,6,9,11,13,14],[4,5,6,7,8,12,13]]; G[2691]:=Group([(2,12)(3,11)(4,10)(6,14)(9,13)]); # Design 2692: autom. group order 2, simple, residual B[2692]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,7,9,10,13],[1,3,7,8,12,13,14],[1,4,5,6,11,12,13],[1,4,6,8,9,10,14],[1,4,7,9,11,13,14],[1,5,7,10,11,12,14],[1,5,8,9,10,11,12],[2,3,6,9,11,12,14],[2,3,7,8,10,11,14],[2,4,5,8,11,13,14],[2,4,6,10,12,13,14],[2,4,7,9,10,12,13],[2,5,6,7,9,10,11],[2,5,7,8,9,12,13],[3,4,5,7,9,12,14],[3,4,6,7,8,11,12],[3,4,8,9,10,11,13],[3,5,6,8,10,12,13],[3,5,6,9,11,13,14],[4,5,6,7,8,10,14]]; G[2692]:=Group([(2,12)(3,11)(4,10)(6,14)]); # Design 2693: autom. group order 2, simple, residual B[2693]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,7,9,10,13],[1,3,7,8,12,13,14],[1,4,5,6,11,12,13],[1,4,6,8,9,10,14],[1,4,7,9,11,13,14],[1,5,7,10,11,12,14],[1,5,8,9,10,11,12],[2,3,6,9,11,12,14],[2,3,8,10,11,13,14],[2,4,5,7,8,11,14],[2,4,6,7,10,12,14],[2,4,7,9,10,12,13],[2,5,6,9,10,11,13],[2,5,7,8,9,12,13],[3,4,5,9,12,13,14],[3,4,6,8,11,12,13],[3,4,7,8,9,10,11],[3,5,6,7,8,10,12],[3,5,6,7,9,11,14],[4,5,6,8,10,13,14]]; G[2693]:=Group([(2,12)(3,11)(4,10)(6,14)]); # Design 2694: autom. group order 2, simple, residual B[2694]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,7,9,10,13],[1,3,7,8,12,13,14],[1,4,5,6,11,12,13],[1,4,6,8,9,10,14],[1,4,7,9,11,13,14],[1,5,7,10,11,12,14],[1,5,8,9,10,11,12],[2,3,6,9,11,12,14],[2,3,8,10,11,13,14],[2,4,5,9,11,13,14],[2,4,6,7,10,12,14],[2,4,7,9,10,12,13],[2,5,6,7,8,10,11],[2,5,7,8,9,12,13],[3,4,5,7,8,12,14],[3,4,6,8,11,12,13],[3,4,7,8,9,10,11],[3,5,6,7,9,11,14],[3,5,6,9,10,12,13],[4,5,6,8,10,13,14]]; G[2694]:=Group([(2,12)(3,11)(4,10)(6,14)]); # Design 2695: autom. group order 2, simple, residual B[2695]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,13,14],[1,2,6,9,11,13,14],[1,3,6,7,9,10,12],[1,3,7,8,11,12,13],[1,4,5,6,8,12,14],[1,4,6,9,11,12,13],[1,4,8,9,10,11,14],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[2,3,6,8,9,10,11],[2,3,7,8,11,12,14],[2,4,5,7,9,11,13],[2,4,6,7,10,12,13],[2,4,7,8,9,12,14],[2,5,6,10,11,12,14],[2,5,8,9,10,12,13],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,4,7,9,10,13,14],[3,5,6,7,9,11,14],[3,5,6,8,9,12,13],[4,5,6,7,8,10,11]]; G[2695]:=Group([(1,13)(2,14)(5,10)(7,8)]); # Design 2696: autom. group order 2, simple, residual B[2696]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,13,14],[1,3,6,7,8,10,12],[1,3,7,9,11,12,14],[1,4,5,6,9,11,14],[1,4,6,8,11,12,14],[1,4,8,9,10,12,13],[1,5,7,8,10,11,13],[1,5,7,9,12,13,14],[2,3,6,8,12,13,14],[2,3,7,8,9,11,14],[2,4,5,7,11,12,13],[2,4,6,7,9,12,13],[2,4,7,8,9,10,14],[2,5,6,10,11,12,14],[2,5,8,9,10,11,12],[3,4,5,8,12,13,14],[3,4,6,9,10,11,13],[3,4,7,10,11,13,14],[3,5,6,7,9,10,12],[3,5,6,8,9,11,13],[4,5,6,7,8,10,14]]; G[2696]:=Group([(1,12)(3,11)(4,10)(7,14)]); # Design 2697: autom. group order 2, simple, residual B[2697]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,10,14],[1,3,6,7,10,12,13],[1,3,7,8,11,12,14],[1,4,5,6,11,13,14],[1,4,6,9,11,12,14],[1,4,8,9,10,12,13],[1,5,7,8,9,10,11],[1,5,7,9,12,13,14],[2,3,6,8,9,12,14],[2,3,7,9,11,13,14],[2,4,5,7,9,11,12],[2,4,6,7,8,12,13],[2,4,7,9,10,13,14],[2,5,6,10,11,12,14],[2,5,8,10,11,12,13],[3,4,5,8,12,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,14],[3,5,6,7,9,10,12],[3,5,6,8,9,11,13],[4,5,6,7,8,10,14]]; G[2697]:=Group([(1,12)(3,11)(4,10)(7,14)(9,13)]); # Design 2698: autom. group order 2, simple, residual B[2698]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,10,14],[1,3,6,7,11,12,14],[1,3,7,8,10,12,13],[1,4,5,6,11,13,14],[1,4,6,9,10,12,13],[1,4,8,9,11,12,14],[1,5,7,8,9,10,11],[1,5,7,9,12,13,14],[2,3,6,8,9,12,14],[2,3,7,9,11,13,14],[2,4,5,7,9,11,12],[2,4,6,7,8,12,13],[2,4,7,9,10,13,14],[2,5,6,10,11,12,14],[2,5,8,10,11,12,13],[3,4,5,8,12,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,14],[3,5,6,7,9,10,12],[3,5,6,8,9,11,13],[4,5,6,7,8,10,14]]; G[2698]:=Group([(1,12)(3,11)(4,10)(7,14)(9,13)]); # Design 2699: autom. group order 2, simple, residual B[2699]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,10,12,14],[1,3,7,8,11,12,13],[1,4,5,6,12,13,14],[1,4,6,9,10,11,14],[1,4,8,9,10,12,13],[1,5,7,8,9,10,12],[1,5,7,9,11,13,14],[2,3,6,8,9,10,13],[2,3,7,9,12,13,14],[2,4,5,7,9,11,12],[2,4,6,7,8,12,14],[2,4,7,9,10,13,14],[2,5,6,10,11,12,13],[2,5,8,10,11,12,14],[3,4,5,8,11,13,14],[3,4,6,9,11,12,13],[3,4,7,8,10,11,14],[3,5,6,7,9,10,11],[3,5,6,8,9,12,14],[4,5,6,7,8,10,13]]; G[2699]:=Group([(1,11)(3,12)(4,10)(7,13)(9,14)]); # Design 2700: autom. group order 2, simple B[2700]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,10,12,14],[1,3,7,8,11,12,13],[1,4,5,6,12,13,14],[1,4,6,9,10,11,14],[1,4,8,9,10,12,13],[1,5,7,8,9,10,12],[1,5,7,9,11,13,14],[2,3,6,8,9,12,14],[2,3,7,9,12,13,14],[2,4,5,7,9,11,12],[2,4,6,7,8,10,13],[2,4,7,9,10,13,14],[2,5,6,10,11,12,13],[2,5,8,10,11,12,14],[3,4,5,8,11,13,14],[3,4,6,9,11,12,13],[3,4,7,8,10,11,14],[3,5,6,7,9,10,11],[3,5,6,8,9,10,13],[4,5,6,7,8,12,14]]; G[2700]:=Group([(1,11)(3,12)(4,10)(7,13)(9,14)]); # Design 2701: autom. group order 2, simple, residual B[2701]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,12,13,14],[1,3,6,7,9,11,12],[1,3,7,8,10,12,14],[1,4,5,6,12,13,14],[1,4,6,9,10,11,14],[1,4,8,9,10,11,13],[1,5,7,8,9,10,12],[1,5,7,8,11,13,14],[2,3,6,8,9,11,14],[2,3,7,9,10,13,14],[2,4,5,8,11,12,14],[2,4,6,7,8,10,13],[2,4,7,8,9,12,14],[2,5,6,7,10,11,12],[2,5,9,10,11,12,13],[3,4,5,7,9,11,13],[3,4,6,8,10,12,13],[3,4,7,11,12,13,14],[3,5,6,8,9,12,13],[3,5,6,8,10,11,14],[4,5,6,7,9,10,14]]; G[2701]:=Group([(1,11)(3,12)(4,10)(8,13)]); # Design 2702: autom. group order 2, simple, residual B[2702]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,12,13,14],[1,3,6,7,11,12,14],[1,3,7,8,9,10,12],[1,4,5,6,9,12,13],[1,4,6,9,10,11,14],[1,4,8,10,11,13,14],[1,5,7,8,9,11,13],[1,5,7,8,10,12,14],[2,3,6,8,9,11,14],[2,3,7,9,10,13,14],[2,4,5,8,11,12,14],[2,4,6,7,8,10,13],[2,4,7,8,9,12,14],[2,5,6,7,10,11,12],[2,5,9,10,11,12,13],[3,4,5,7,11,13,14],[3,4,6,8,10,12,13],[3,4,7,9,11,12,13],[3,5,6,8,9,10,11],[3,5,6,8,12,13,14],[4,5,6,7,9,10,14]]; G[2702]:=Group([(1,11)(3,12)(4,10)(8,13)]); # Design 2703: autom. group order 2, simple, residual B[2703]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,9,11,13,14],[1,3,6,7,9,11,12],[1,3,7,8,11,12,14],[1,4,5,6,8,11,14],[1,4,6,9,10,12,14],[1,4,8,9,10,12,13],[1,5,7,8,12,13,14],[1,5,7,9,10,11,13],[2,3,6,9,12,13,14],[2,3,7,8,9,10,14],[2,4,5,11,12,13,14],[2,4,6,7,8,12,13],[2,4,7,8,9,11,14],[2,5,6,7,10,11,12],[2,5,8,9,10,11,12],[3,4,5,7,9,12,13],[3,4,6,8,10,11,13],[3,4,7,10,11,13,14],[3,5,6,8,9,11,13],[3,5,6,8,10,12,14],[4,5,6,7,9,10,14]]; G[2703]:=Group([(1,12)(3,11)(4,10)]); # Design 2704: autom. group order 2, simple, residual B[2704]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,7,9,11,12],[1,3,7,10,12,13,14],[1,4,5,6,12,13,14],[1,4,6,9,10,11,14],[1,4,8,9,10,11,13],[1,5,7,8,9,10,12],[1,5,7,8,11,13,14],[2,3,6,9,11,13,14],[2,3,7,8,9,10,14],[2,4,5,8,11,12,14],[2,4,6,7,8,10,13],[2,4,7,9,12,13,14],[2,5,6,7,10,11,12],[2,5,9,10,11,12,13],[3,4,5,7,9,11,13],[3,4,6,8,10,12,13],[3,4,7,8,11,12,14],[3,5,6,8,9,12,13],[3,5,6,8,10,11,14],[4,5,6,7,9,10,14]]; G[2704]:=Group([(1,11)(3,12)(4,10)(8,13)]); # Design 2705: autom. group order 2, simple, residual B[2705]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,7,11,12,14],[1,3,7,9,10,12,13],[1,4,5,6,9,12,13],[1,4,6,9,10,11,14],[1,4,8,10,11,13,14],[1,5,7,8,9,11,13],[1,5,7,8,10,12,14],[2,3,6,9,11,13,14],[2,3,7,8,9,10,14],[2,4,5,8,11,12,14],[2,4,6,7,8,10,13],[2,4,7,9,12,13,14],[2,5,6,7,10,11,12],[2,5,9,10,11,12,13],[3,4,5,7,11,13,14],[3,4,6,8,10,12,13],[3,4,7,8,9,11,12],[3,5,6,8,9,10,11],[3,5,6,8,12,13,14],[4,5,6,7,9,10,14]]; G[2705]:=Group([(1,11)(3,12)(4,10)(8,13)]); # Design 2706: autom. group order 2, simple, residual B[2706]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,8,9,11,14],[1,3,6,7,11,12,14],[1,3,7,9,11,12,13],[1,4,5,6,9,11,13],[1,4,6,9,10,12,14],[1,4,8,10,12,13,14],[1,5,7,8,9,12,13],[1,5,7,8,10,11,14],[2,3,6,8,9,12,14],[2,3,7,9,10,13,14],[2,4,5,11,12,13,14],[2,4,6,7,8,12,13],[2,4,7,9,11,13,14],[2,5,6,7,10,11,12],[2,5,8,9,10,11,12],[3,4,5,7,8,12,14],[3,4,6,8,10,11,13],[3,4,7,8,9,10,11],[3,5,6,8,11,13,14],[3,5,6,9,10,12,13],[4,5,6,7,9,10,14]]; G[2706]:=Group([(1,12)(3,11)(4,10)]); # Design 2707: autom. group order 2, simple, residual B[2707]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,14],[1,3,6,7,9,10,14],[1,3,8,10,11,12,13],[1,4,5,6,8,11,14],[1,4,6,8,9,12,13],[1,4,7,9,10,12,14],[1,5,7,8,12,13,14],[1,5,7,9,10,11,13],[2,3,6,7,9,12,13],[2,3,7,8,11,12,14],[2,4,5,7,12,13,14],[2,4,6,10,11,13,14],[2,4,8,9,10,13,14],[2,5,6,8,9,10,12],[2,5,7,8,9,10,11],[3,4,5,9,11,12,13],[3,4,6,7,8,10,13],[3,4,7,8,9,11,14],[3,5,6,8,10,12,14],[3,5,6,9,11,13,14],[4,5,6,7,10,11,12]]; G[2707]:=Group([(1,13)(3,14)(5,10)(7,11)]); # Design 2708: autom. group order 2, simple, residual B[2708]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,6,11,12,14],[1,4,6,9,10,11,14],[1,4,7,8,9,12,13],[1,5,7,8,9,10,11],[1,5,7,8,10,12,14],[2,3,6,7,8,11,14],[2,3,7,9,10,12,14],[2,4,5,8,9,13,14],[2,4,6,7,8,10,12],[2,4,8,10,11,13,14],[2,5,6,9,11,12,13],[2,5,7,9,11,12,14],[3,4,5,7,11,12,13],[3,4,6,8,9,12,14],[3,4,7,9,10,11,13],[3,5,6,8,9,10,11],[3,5,6,8,10,12,13],[4,5,6,7,10,13,14]]; G[2708]:=Group([(1,3)(6,7)(13,14)]); # Design 2709: autom. group order 2, simple, residual B[2709]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,6,11,12,14],[1,4,6,9,10,11,14],[1,4,7,8,9,12,14],[1,5,7,8,9,10,11],[1,5,7,8,10,12,13],[2,3,6,7,8,11,14],[2,3,7,9,10,12,14],[2,4,5,8,9,13,14],[2,4,6,7,8,10,12],[2,4,8,10,11,13,14],[2,5,6,9,11,12,13],[2,5,7,9,11,12,14],[3,4,5,7,11,12,13],[3,4,6,8,9,12,13],[3,4,7,9,10,11,13],[3,5,6,8,9,10,11],[3,5,6,8,10,12,14],[4,5,6,7,10,13,14]]; G[2709]:=Group([(1,3)(6,7)(13,14)]); # Design 2710: autom. group order 2, simple, residual B[2710]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,6,11,12,13],[1,4,6,9,10,11,14],[1,4,7,8,9,12,13],[1,5,7,8,9,10,11],[1,5,7,8,10,12,14],[2,3,6,7,8,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,13,14],[2,4,6,7,8,10,12],[2,4,8,10,11,13,14],[2,5,6,9,11,12,13],[2,5,7,9,11,12,14],[3,4,5,7,11,12,14],[3,4,6,8,9,12,14],[3,4,7,9,10,11,13],[3,5,6,8,9,10,11],[3,5,6,8,10,12,13],[4,5,6,7,10,13,14]]; G[2710]:=Group([(1,3)(6,7)(13,14)]); # Design 2711: autom. group order 2, simple, residual B[2711]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,6,11,12,13],[1,4,6,9,10,11,14],[1,4,7,8,9,12,14],[1,5,7,8,9,10,11],[1,5,7,8,10,12,13],[2,3,6,7,8,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,13,14],[2,4,6,7,8,10,12],[2,4,8,10,11,13,14],[2,5,6,9,11,12,13],[2,5,7,9,11,12,14],[3,4,5,7,11,12,14],[3,4,6,8,9,12,13],[3,4,7,9,10,11,13],[3,5,6,8,9,10,11],[3,5,6,8,10,12,14],[4,5,6,7,10,13,14]]; G[2711]:=Group([(1,3)(6,7)(13,14)]); # Design 2712: autom. group order 2, simple, residual B[2712]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,6,11,12,14],[1,4,6,9,10,11,13],[1,4,7,8,9,12,13],[1,5,7,8,9,10,11],[1,5,7,8,10,12,14],[2,3,6,7,8,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,13,14],[2,4,6,7,8,10,12],[2,4,8,10,11,13,14],[2,5,6,9,11,12,13],[2,5,7,9,11,12,14],[3,4,5,7,11,12,13],[3,4,6,8,9,12,14],[3,4,7,9,10,11,14],[3,5,6,8,9,10,11],[3,5,6,8,10,12,13],[4,5,6,7,10,13,14]]; G[2712]:=Group([(1,3)(6,7)(13,14)]); # Design 2713: autom. group order 2, simple, residual B[2713]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,6,11,12,14],[1,4,6,9,10,11,13],[1,4,7,8,9,12,14],[1,5,7,8,9,10,11],[1,5,7,8,10,12,13],[2,3,6,7,8,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,13,14],[2,4,6,7,8,10,12],[2,4,8,10,11,13,14],[2,5,6,9,11,12,13],[2,5,7,9,11,12,14],[3,4,5,7,11,12,13],[3,4,6,8,9,12,13],[3,4,7,9,10,11,14],[3,5,6,8,9,10,11],[3,5,6,8,10,12,14],[4,5,6,7,10,13,14]]; G[2713]:=Group([(1,3)(6,7)(13,14)]); # Design 2714: autom. group order 2, simple, residual B[2714]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,11,13],[1,4,6,8,10,12,14],[1,4,7,9,12,13,14],[1,5,7,8,9,12,13],[1,5,7,8,10,11,14],[2,3,6,7,9,12,14],[2,3,7,8,11,12,13],[2,4,5,11,12,13,14],[2,4,6,7,8,9,10],[2,4,8,9,10,13,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,14],[3,4,5,7,8,12,14],[3,4,6,8,11,13,14],[3,4,7,9,10,11,13],[3,5,6,8,9,11,14],[3,5,6,9,10,12,13],[4,5,6,7,10,11,12]]; G[2714]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2715: autom. group order 2, simple, residual B[2715]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,13],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,12,14],[1,4,6,8,10,11,14],[1,4,7,9,11,13,14],[1,5,7,8,9,12,13],[1,5,7,8,10,12,14],[2,3,6,7,9,12,14],[2,3,7,8,11,12,14],[2,4,5,11,12,13,14],[2,4,6,7,8,9,10],[2,4,8,9,10,13,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,14],[3,4,5,7,8,11,13],[3,4,6,8,12,13,14],[3,4,7,9,10,12,13],[3,5,6,8,9,11,14],[3,5,6,9,10,11,13],[4,5,6,7,10,11,12]]; G[2715]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2716: autom. group order 2, simple, residual B[2716]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,13],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,11,14],[1,4,6,8,12,13,14],[1,4,7,9,10,12,14],[1,5,7,8,9,12,13],[1,5,7,8,10,11,14],[2,3,6,7,9,12,14],[2,3,7,8,11,12,14],[2,4,5,11,12,13,14],[2,4,6,7,8,9,10],[2,4,8,9,10,13,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,7,8,12,13],[3,4,6,8,10,11,13],[3,4,7,9,11,13,14],[3,5,6,8,9,11,14],[3,5,6,9,10,12,13],[4,5,6,7,10,11,12]]; G[2716]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2717: autom. group order 2, simple, residual B[2717]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,12,13],[1,4,6,8,11,13,14],[1,4,7,9,10,11,14],[1,5,7,8,9,12,13],[1,5,7,8,10,12,14],[2,3,6,7,9,12,14],[2,3,7,8,11,12,13],[2,4,5,11,12,13,14],[2,4,6,7,8,9,10],[2,4,8,9,10,13,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,7,8,11,14],[3,4,6,8,10,12,13],[3,4,7,9,12,13,14],[3,5,6,8,9,11,14],[3,5,6,9,10,11,13],[4,5,6,7,10,11,12]]; G[2717]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2718: autom. group order 2, simple, residual B[2718]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,6,11,12,14],[1,4,6,8,9,12,14],[1,4,7,9,10,11,13],[1,5,7,8,9,10,11],[1,5,7,8,10,12,14],[2,3,6,7,8,11,14],[2,3,7,9,10,12,14],[2,4,5,8,9,13,14],[2,4,6,7,8,10,12],[2,4,8,10,11,13,14],[2,5,6,9,11,12,13],[2,5,7,9,11,12,14],[3,4,5,7,11,12,13],[3,4,6,9,10,11,14],[3,4,7,8,9,12,13],[3,5,6,8,9,10,11],[3,5,6,8,10,12,13],[4,5,6,7,10,13,14]]; G[2718]:=Group([(1,3)(6,7)(13,14)]); # Design 2719: autom. group order 2, simple, residual B[2719]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,6,11,12,14],[1,4,6,8,9,12,14],[1,4,7,9,10,11,14],[1,5,7,8,9,10,11],[1,5,7,8,10,12,13],[2,3,6,7,8,11,14],[2,3,7,9,10,12,14],[2,4,5,8,9,13,14],[2,4,6,7,8,10,12],[2,4,8,10,11,13,14],[2,5,6,9,11,12,13],[2,5,7,9,11,12,14],[3,4,5,7,11,12,13],[3,4,6,9,10,11,13],[3,4,7,8,9,12,13],[3,5,6,8,9,10,11],[3,5,6,8,10,12,14],[4,5,6,7,10,13,14]]; G[2719]:=Group([(1,3)(6,7)(13,14)]); # Design 2720: autom. group order 2, simple, residual B[2720]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,6,11,12,13],[1,4,6,8,9,12,14],[1,4,7,9,10,11,13],[1,5,7,8,9,10,11],[1,5,7,8,10,12,14],[2,3,6,7,8,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,13,14],[2,4,6,7,8,10,12],[2,4,8,10,11,13,14],[2,5,6,9,11,12,13],[2,5,7,9,11,12,14],[3,4,5,7,11,12,14],[3,4,6,9,10,11,14],[3,4,7,8,9,12,13],[3,5,6,8,9,10,11],[3,5,6,8,10,12,13],[4,5,6,7,10,13,14]]; G[2720]:=Group([(1,3)(6,7)(13,14)]); # Design 2721: autom. group order 2, simple, residual B[2721]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,6,11,12,13],[1,4,6,8,9,12,14],[1,4,7,9,10,11,14],[1,5,7,8,9,10,11],[1,5,7,8,10,12,13],[2,3,6,7,8,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,13,14],[2,4,6,7,8,10,12],[2,4,8,10,11,13,14],[2,5,6,9,11,12,13],[2,5,7,9,11,12,14],[3,4,5,7,11,12,14],[3,4,6,9,10,11,13],[3,4,7,8,9,12,13],[3,5,6,8,9,10,11],[3,5,6,8,10,12,14],[4,5,6,7,10,13,14]]; G[2721]:=Group([(1,3)(6,7)(13,14)]); # Design 2722: autom. group order 2, simple, residual B[2722]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,6,11,12,14],[1,4,6,8,9,12,13],[1,4,7,9,10,11,13],[1,5,7,8,9,10,11],[1,5,7,8,10,12,14],[2,3,6,7,8,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,13,14],[2,4,6,7,8,10,12],[2,4,8,10,11,13,14],[2,5,6,9,11,12,13],[2,5,7,9,11,12,14],[3,4,5,7,11,12,13],[3,4,6,9,10,11,14],[3,4,7,8,9,12,14],[3,5,6,8,9,10,11],[3,5,6,8,10,12,13],[4,5,6,7,10,13,14]]; G[2722]:=Group([(1,3)(6,7)(13,14)]); # Design 2723: autom. group order 2, simple, residual B[2723]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,6,11,12,14],[1,4,6,8,9,12,13],[1,4,7,9,10,11,14],[1,5,7,8,9,10,11],[1,5,7,8,10,12,13],[2,3,6,7,8,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,13,14],[2,4,6,7,8,10,12],[2,4,8,10,11,13,14],[2,5,6,9,11,12,13],[2,5,7,9,11,12,14],[3,4,5,7,11,12,13],[3,4,6,9,10,11,13],[3,4,7,8,9,12,14],[3,5,6,8,9,10,11],[3,5,6,8,10,12,14],[4,5,6,7,10,13,14]]; G[2723]:=Group([(1,3)(6,7)(13,14)]); # Design 2724: autom. group order 2, simple, residual B[2724]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,13],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,11,14],[1,4,6,8,10,12,14],[1,4,7,8,11,13,14],[1,5,7,8,9,12,14],[1,5,7,9,10,12,13],[2,3,6,7,9,12,14],[2,3,7,8,11,12,14],[2,4,5,11,12,13,14],[2,4,6,7,8,9,10],[2,4,8,9,10,13,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,14],[3,4,5,7,8,12,13],[3,4,6,9,12,13,14],[3,4,7,9,10,11,13],[3,5,6,8,9,11,13],[3,5,6,8,10,11,14],[4,5,6,7,10,11,12]]; G[2724]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2725: autom. group order 2, simple, residual B[2725]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,12,13],[1,4,6,8,10,11,14],[1,4,7,8,12,13,14],[1,5,7,8,9,12,14],[1,5,7,9,10,11,13],[2,3,6,7,9,12,14],[2,3,7,8,11,12,13],[2,4,5,11,12,13,14],[2,4,6,7,8,9,10],[2,4,8,9,10,13,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,14],[3,4,5,7,8,11,14],[3,4,6,9,11,13,14],[3,4,7,9,10,12,13],[3,5,6,8,9,11,13],[3,5,6,8,10,12,14],[4,5,6,7,10,11,12]]; G[2725]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2726: autom. group order 2, simple, residual B[2726]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,13],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,11,14],[1,4,6,8,12,13,14],[1,4,7,8,10,11,14],[1,5,7,8,9,12,13],[1,5,7,9,10,12,14],[2,3,6,7,9,12,14],[2,3,7,8,11,12,14],[2,4,5,11,12,13,14],[2,4,6,7,8,9,10],[2,4,8,9,10,13,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,7,8,12,13],[3,4,6,9,10,12,13],[3,4,7,9,11,13,14],[3,5,6,8,9,11,14],[3,5,6,8,10,11,13],[4,5,6,7,10,11,12]]; G[2726]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2727: autom. group order 2, simple, residual B[2727]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,12,13],[1,4,6,8,11,13,14],[1,4,7,8,10,12,14],[1,5,7,8,9,12,13],[1,5,7,9,10,11,14],[2,3,6,7,9,12,14],[2,3,7,8,11,12,13],[2,4,5,11,12,13,14],[2,4,6,7,8,9,10],[2,4,8,9,10,13,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,7,8,11,14],[3,4,6,9,10,11,13],[3,4,7,9,12,13,14],[3,5,6,8,9,11,14],[3,5,6,8,10,12,13],[4,5,6,7,10,11,12]]; G[2727]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2728: autom. group order 2, simple, residual B[2728]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,6,12,13,14],[1,4,6,8,9,10,13],[1,4,7,8,10,11,14],[1,5,7,8,9,12,13],[1,5,7,9,10,12,14],[2,3,6,7,8,12,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,12],[2,4,6,7,9,13,14],[2,4,9,11,12,13,14],[2,5,6,8,10,12,14],[2,5,7,8,10,11,13],[3,4,5,7,11,13,14],[3,4,6,8,10,12,13],[3,4,7,8,9,10,14],[3,5,6,8,9,11,14],[3,5,6,9,10,11,13],[4,5,6,7,10,11,12]]; G[2728]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 2729: autom. group order 2, simple, residual B[2729]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,6,12,13,14],[1,4,6,8,9,10,13],[1,4,7,8,10,11,14],[1,5,7,8,9,12,14],[1,5,7,9,10,12,13],[2,3,6,7,8,12,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,12],[2,4,6,7,9,13,14],[2,4,9,11,12,13,14],[2,5,6,8,10,12,14],[2,5,7,8,10,11,13],[3,4,5,7,11,13,14],[3,4,6,8,10,12,13],[3,4,7,8,9,10,14],[3,5,6,8,9,11,13],[3,5,6,9,10,11,14],[4,5,6,7,10,11,12]]; G[2729]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 2730: autom. group order 2, simple, residual B[2730]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,6,12,13,14],[1,4,6,8,9,10,13],[1,4,7,8,10,12,13],[1,5,7,8,9,11,14],[1,5,7,9,10,12,14],[2,3,6,7,8,12,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,12],[2,4,6,7,9,13,14],[2,4,9,11,12,13,14],[2,5,6,8,10,12,14],[2,5,7,8,10,11,13],[3,4,5,7,11,13,14],[3,4,6,8,10,11,14],[3,4,7,8,9,10,14],[3,5,6,8,9,12,13],[3,5,6,9,10,11,13],[4,5,6,7,10,11,12]]; G[2730]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 2731: autom. group order 2, simple, residual B[2731]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,6,12,13,14],[1,4,6,8,9,10,13],[1,4,7,8,10,12,14],[1,5,7,8,9,11,14],[1,5,7,9,10,12,13],[2,3,6,7,8,12,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,12],[2,4,6,7,9,13,14],[2,4,9,11,12,13,14],[2,5,6,8,10,12,14],[2,5,7,8,10,11,13],[3,4,5,7,11,13,14],[3,4,6,8,10,11,13],[3,4,7,8,9,10,14],[3,5,6,8,9,12,13],[3,5,6,9,10,11,14],[4,5,6,7,10,11,12]]; G[2731]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 2732: autom. group order 2, simple, residual B[2732]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,6,12,13,14],[1,4,6,8,9,10,13],[1,4,7,8,10,12,13],[1,5,7,8,9,12,14],[1,5,7,9,10,11,14],[2,3,6,7,8,12,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,12],[2,4,6,7,9,13,14],[2,4,9,11,12,13,14],[2,5,6,8,10,12,14],[2,5,7,8,10,11,13],[3,4,5,7,11,13,14],[3,4,6,8,10,11,14],[3,4,7,8,9,10,14],[3,5,6,8,9,11,13],[3,5,6,9,10,12,13],[4,5,6,7,10,11,12]]; G[2732]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 2733: autom. group order 2, simple, residual B[2733]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,6,12,13,14],[1,4,6,8,9,10,13],[1,4,7,8,10,12,14],[1,5,7,8,9,12,13],[1,5,7,9,10,11,14],[2,3,6,7,8,12,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,12],[2,4,6,7,9,13,14],[2,4,9,11,12,13,14],[2,5,6,8,10,12,14],[2,5,7,8,10,11,13],[3,4,5,7,11,13,14],[3,4,6,8,10,11,13],[3,4,7,8,9,10,14],[3,5,6,8,9,11,14],[3,5,6,9,10,12,13],[4,5,6,7,10,11,12]]; G[2733]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 2734: autom. group order 2, simple, residual B[2734]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,6,11,13,14],[1,4,6,8,9,10,14],[1,4,7,8,10,11,14],[1,5,7,8,9,12,13],[1,5,7,9,10,12,14],[2,3,6,7,8,12,14],[2,3,7,9,10,11,14],[2,4,5,8,9,11,12],[2,4,6,7,9,13,14],[2,4,9,11,12,13,14],[2,5,6,8,10,12,14],[2,5,7,8,10,11,13],[3,4,5,7,12,13,14],[3,4,6,8,10,12,13],[3,4,7,8,9,10,13],[3,5,6,8,9,11,14],[3,5,6,9,10,11,13],[4,5,6,7,10,11,12]]; G[2734]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 2735: autom. group order 2, simple, residual B[2735]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,6,11,13,14],[1,4,6,8,9,10,14],[1,4,7,8,10,11,14],[1,5,7,8,9,12,14],[1,5,7,9,10,12,13],[2,3,6,7,8,12,14],[2,3,7,9,10,11,14],[2,4,5,8,9,11,12],[2,4,6,7,9,13,14],[2,4,9,11,12,13,14],[2,5,6,8,10,12,14],[2,5,7,8,10,11,13],[3,4,5,7,12,13,14],[3,4,6,8,10,12,13],[3,4,7,8,9,10,13],[3,5,6,8,9,11,13],[3,5,6,9,10,11,14],[4,5,6,7,10,11,12]]; G[2735]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 2736: autom. group order 2, simple, residual B[2736]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,6,11,13,14],[1,4,6,8,9,10,14],[1,4,7,8,10,12,13],[1,5,7,8,9,11,14],[1,5,7,9,10,12,14],[2,3,6,7,8,12,14],[2,3,7,9,10,11,14],[2,4,5,8,9,11,12],[2,4,6,7,9,13,14],[2,4,9,11,12,13,14],[2,5,6,8,10,12,14],[2,5,7,8,10,11,13],[3,4,5,7,12,13,14],[3,4,6,8,10,11,14],[3,4,7,8,9,10,13],[3,5,6,8,9,12,13],[3,5,6,9,10,11,13],[4,5,6,7,10,11,12]]; G[2736]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 2737: autom. group order 2, simple, residual B[2737]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,6,11,13,14],[1,4,6,8,9,10,14],[1,4,7,8,10,12,14],[1,5,7,8,9,11,14],[1,5,7,9,10,12,13],[2,3,6,7,8,12,14],[2,3,7,9,10,11,14],[2,4,5,8,9,11,12],[2,4,6,7,9,13,14],[2,4,9,11,12,13,14],[2,5,6,8,10,12,14],[2,5,7,8,10,11,13],[3,4,5,7,12,13,14],[3,4,6,8,10,11,13],[3,4,7,8,9,10,13],[3,5,6,8,9,12,13],[3,5,6,9,10,11,14],[4,5,6,7,10,11,12]]; G[2737]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 2738: autom. group order 2, simple, residual B[2738]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,6,11,13,14],[1,4,6,8,9,10,14],[1,4,7,8,10,12,13],[1,5,7,8,9,12,14],[1,5,7,9,10,11,14],[2,3,6,7,8,12,14],[2,3,7,9,10,11,14],[2,4,5,8,9,11,12],[2,4,6,7,9,13,14],[2,4,9,11,12,13,14],[2,5,6,8,10,12,14],[2,5,7,8,10,11,13],[3,4,5,7,12,13,14],[3,4,6,8,10,11,14],[3,4,7,8,9,10,13],[3,5,6,8,9,11,13],[3,5,6,9,10,12,13],[4,5,6,7,10,11,12]]; G[2738]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 2739: autom. group order 2, simple, residual B[2739]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,6,11,13,14],[1,4,6,8,9,10,14],[1,4,7,8,10,12,14],[1,5,7,8,9,12,13],[1,5,7,9,10,11,14],[2,3,6,7,8,12,14],[2,3,7,9,10,11,14],[2,4,5,8,9,11,12],[2,4,6,7,9,13,14],[2,4,9,11,12,13,14],[2,5,6,8,10,12,14],[2,5,7,8,10,11,13],[3,4,5,7,12,13,14],[3,4,6,8,10,11,13],[3,4,7,8,9,10,13],[3,5,6,8,9,11,14],[3,5,6,9,10,12,13],[4,5,6,7,10,11,12]]; G[2739]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 2740: autom. group order 2, simple, residual B[2740]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,13],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,6,12,13,14],[1,4,6,8,10,12,14],[1,4,7,8,9,10,14],[1,5,7,8,9,11,14],[1,5,7,9,10,12,13],[2,3,6,7,8,12,14],[2,3,7,9,10,12,14],[2,4,5,8,9,11,12],[2,4,6,7,9,13,14],[2,4,9,11,12,13,14],[2,5,6,8,10,11,14],[2,5,7,8,10,12,13],[3,4,5,7,11,13,14],[3,4,6,8,9,10,13],[3,4,7,8,10,11,13],[3,5,6,8,9,12,13],[3,5,6,9,10,11,14],[4,5,6,7,10,11,12]]; G[2740]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 2741: autom. group order 2, simple, residual B[2741]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,6,12,13,14],[1,4,6,8,10,12,13],[1,4,7,8,9,10,14],[1,5,7,8,9,11,13],[1,5,7,9,10,12,14],[2,3,6,7,8,12,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,12],[2,4,6,7,9,13,14],[2,4,9,11,12,13,14],[2,5,6,8,10,11,14],[2,5,7,8,10,12,13],[3,4,5,7,11,13,14],[3,4,6,8,9,10,13],[3,4,7,8,10,11,14],[3,5,6,8,9,12,14],[3,5,6,9,10,11,13],[4,5,6,7,10,11,12]]; G[2741]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 2742: autom. group order 2, simple, residual B[2742]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,13],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,6,12,13,14],[1,4,6,8,10,12,14],[1,4,7,8,9,10,14],[1,5,7,8,9,12,13],[1,5,7,9,10,11,14],[2,3,6,7,8,12,14],[2,3,7,9,10,12,14],[2,4,5,8,9,11,12],[2,4,6,7,9,13,14],[2,4,9,11,12,13,14],[2,5,6,8,10,11,14],[2,5,7,8,10,12,13],[3,4,5,7,11,13,14],[3,4,6,8,9,10,13],[3,4,7,8,10,11,13],[3,5,6,8,9,11,14],[3,5,6,9,10,12,13],[4,5,6,7,10,11,12]]; G[2742]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 2743: autom. group order 2, simple, residual B[2743]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,6,12,13,14],[1,4,6,8,10,12,13],[1,4,7,8,9,10,14],[1,5,7,8,9,12,14],[1,5,7,9,10,11,13],[2,3,6,7,8,12,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,12],[2,4,6,7,9,13,14],[2,4,9,11,12,13,14],[2,5,6,8,10,11,14],[2,5,7,8,10,12,13],[3,4,5,7,11,13,14],[3,4,6,8,9,10,13],[3,4,7,8,10,11,14],[3,5,6,8,9,11,13],[3,5,6,9,10,12,14],[4,5,6,7,10,11,12]]; G[2743]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 2744: autom. group order 2, simple, residual B[2744]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,6,11,13,14],[1,4,6,8,10,12,14],[1,4,7,8,9,10,13],[1,5,7,8,9,11,14],[1,5,7,9,10,12,14],[2,3,6,7,8,12,14],[2,3,7,9,10,11,14],[2,4,5,8,9,11,12],[2,4,6,7,9,13,14],[2,4,9,11,12,13,14],[2,5,6,8,10,11,14],[2,5,7,8,10,12,13],[3,4,5,7,12,13,14],[3,4,6,8,9,10,14],[3,4,7,8,10,11,13],[3,5,6,8,9,12,13],[3,5,6,9,10,11,13],[4,5,6,7,10,11,12]]; G[2744]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 2745: autom. group order 2, simple, residual B[2745]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,6,11,13,14],[1,4,6,8,10,12,13],[1,4,7,8,9,10,13],[1,5,7,8,9,11,14],[1,5,7,9,10,12,14],[2,3,6,7,8,12,14],[2,3,7,9,10,11,13],[2,4,5,8,9,11,12],[2,4,6,7,9,13,14],[2,4,9,11,12,13,14],[2,5,6,8,10,11,14],[2,5,7,8,10,12,13],[3,4,5,7,12,13,14],[3,4,6,8,9,10,14],[3,4,7,8,10,11,14],[3,5,6,8,9,12,13],[3,5,6,9,10,11,13],[4,5,6,7,10,11,12]]; G[2745]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 2746: autom. group order 2, simple, residual B[2746]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,6,11,13,14],[1,4,6,8,10,12,14],[1,4,7,8,9,10,13],[1,5,7,8,9,12,14],[1,5,7,9,10,11,14],[2,3,6,7,8,12,14],[2,3,7,9,10,11,14],[2,4,5,8,9,11,12],[2,4,6,7,9,13,14],[2,4,9,11,12,13,14],[2,5,6,8,10,11,14],[2,5,7,8,10,12,13],[3,4,5,7,12,13,14],[3,4,6,8,9,10,14],[3,4,7,8,10,11,13],[3,5,6,8,9,11,13],[3,5,6,9,10,12,13],[4,5,6,7,10,11,12]]; G[2746]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 2747: autom. group order 2, simple, residual B[2747]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,6,11,13,14],[1,4,6,8,10,12,13],[1,4,7,8,9,10,13],[1,5,7,8,9,12,14],[1,5,7,9,10,11,14],[2,3,6,7,8,12,14],[2,3,7,9,10,11,13],[2,4,5,8,9,11,12],[2,4,6,7,9,13,14],[2,4,9,11,12,13,14],[2,5,6,8,10,11,14],[2,5,7,8,10,12,13],[3,4,5,7,12,13,14],[3,4,6,8,9,10,14],[3,4,7,8,10,11,14],[3,5,6,8,9,11,13],[3,5,6,9,10,12,13],[4,5,6,7,10,11,12]]; G[2747]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 2748: autom. group order 2, simple, residual B[2748]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,6,12,13,14],[1,4,6,8,10,11,14],[1,4,7,8,9,10,14],[1,5,7,8,9,11,13],[1,5,7,9,10,12,14],[2,3,6,7,8,12,14],[2,3,7,9,10,11,14],[2,4,5,8,9,11,12],[2,4,6,7,9,13,14],[2,4,9,11,12,13,14],[2,5,6,8,10,11,14],[2,5,7,8,10,12,13],[3,4,5,7,11,13,14],[3,4,6,8,9,10,13],[3,4,7,8,10,12,13],[3,5,6,8,9,12,14],[3,5,6,9,10,11,13],[4,5,6,7,10,11,12]]; G[2748]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 2749: autom. group order 2, simple, residual B[2749]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,6,12,13,14],[1,4,6,8,10,11,13],[1,4,7,8,9,10,14],[1,5,7,8,9,11,14],[1,5,7,9,10,12,13],[2,3,6,7,8,12,14],[2,3,7,9,10,11,13],[2,4,5,8,9,11,12],[2,4,6,7,9,13,14],[2,4,9,11,12,13,14],[2,5,6,8,10,11,14],[2,5,7,8,10,12,13],[3,4,5,7,11,13,14],[3,4,6,8,9,10,13],[3,4,7,8,10,12,14],[3,5,6,8,9,12,13],[3,5,6,9,10,11,14],[4,5,6,7,10,11,12]]; G[2749]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 2750: autom. group order 2, simple, residual B[2750]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,6,12,13,14],[1,4,6,8,10,11,14],[1,4,7,8,9,10,14],[1,5,7,8,9,12,14],[1,5,7,9,10,11,13],[2,3,6,7,8,12,14],[2,3,7,9,10,11,14],[2,4,5,8,9,11,12],[2,4,6,7,9,13,14],[2,4,9,11,12,13,14],[2,5,6,8,10,11,14],[2,5,7,8,10,12,13],[3,4,5,7,11,13,14],[3,4,6,8,9,10,13],[3,4,7,8,10,12,13],[3,5,6,8,9,11,13],[3,5,6,9,10,12,14],[4,5,6,7,10,11,12]]; G[2750]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 2751: autom. group order 2, simple, residual B[2751]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,6,12,13,14],[1,4,6,8,10,11,13],[1,4,7,8,9,10,14],[1,5,7,8,9,12,13],[1,5,7,9,10,11,14],[2,3,6,7,8,12,14],[2,3,7,9,10,11,13],[2,4,5,8,9,11,12],[2,4,6,7,9,13,14],[2,4,9,11,12,13,14],[2,5,6,8,10,11,14],[2,5,7,8,10,12,13],[3,4,5,7,11,13,14],[3,4,6,8,9,10,13],[3,4,7,8,10,12,14],[3,5,6,8,9,11,14],[3,5,6,9,10,12,13],[4,5,6,7,10,11,12]]; G[2751]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 2752: autom. group order 2, simple, residual B[2752]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,13],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,8,11,14],[1,4,6,9,10,12,14],[1,4,7,9,11,13,14],[1,5,7,8,9,12,13],[1,5,7,8,10,12,14],[2,3,6,7,9,12,14],[2,3,7,8,11,12,14],[2,4,5,11,12,13,14],[2,4,6,7,8,9,10],[2,4,8,9,10,13,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,14],[3,4,5,7,9,12,13],[3,4,6,8,12,13,14],[3,4,7,8,10,11,13],[3,5,6,8,9,11,14],[3,5,6,9,10,11,13],[4,5,6,7,10,11,12]]; G[2752]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2753: autom. group order 2, simple, residual B[2753]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,8,12,14],[1,4,6,9,10,11,13],[1,4,7,9,12,13,14],[1,5,7,8,9,12,13],[1,5,7,8,10,11,14],[2,3,6,7,9,12,14],[2,3,7,8,11,12,13],[2,4,5,11,12,13,14],[2,4,6,7,8,9,10],[2,4,8,9,10,13,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,14],[3,4,5,7,9,11,13],[3,4,6,8,11,13,14],[3,4,7,8,10,12,14],[3,5,6,8,9,11,14],[3,5,6,9,10,12,13],[4,5,6,7,10,11,12]]; G[2753]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2754: autom. group order 2, simple, residual B[2754]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,13],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,8,11,14],[1,4,6,9,12,13,14],[1,4,7,9,10,11,14],[1,5,7,8,9,12,14],[1,5,7,8,10,12,13],[2,3,6,7,9,12,14],[2,3,7,8,11,12,14],[2,4,5,11,12,13,14],[2,4,6,7,8,9,10],[2,4,8,9,10,13,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,7,9,12,13],[3,4,6,8,10,12,13],[3,4,7,8,11,13,14],[3,5,6,8,9,11,13],[3,5,6,9,10,11,14],[4,5,6,7,10,11,12]]; G[2754]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2755: autom. group order 2, simple, residual B[2755]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,8,12,13],[1,4,6,9,11,13,14],[1,4,7,9,10,12,13],[1,5,7,8,9,12,14],[1,5,7,8,10,11,14],[2,3,6,7,9,12,14],[2,3,7,8,11,12,13],[2,4,5,11,12,13,14],[2,4,6,7,8,9,10],[2,4,8,9,10,13,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,7,9,11,14],[3,4,6,8,10,11,14],[3,4,7,8,12,13,14],[3,5,6,8,9,11,13],[3,5,6,9,10,12,13],[4,5,6,7,10,11,12]]; G[2755]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2756: autom. group order 2, simple, residual B[2756]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,8,11,14],[1,4,6,9,10,12,13],[1,4,7,8,12,13,14],[1,5,7,8,9,12,14],[1,5,7,9,10,11,13],[2,3,6,7,9,12,14],[2,3,7,8,11,12,13],[2,4,5,11,12,13,14],[2,4,6,7,8,9,10],[2,4,8,9,10,13,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,14],[3,4,5,7,9,12,13],[3,4,6,9,11,13,14],[3,4,7,8,10,11,14],[3,5,6,8,9,11,13],[3,5,6,8,10,12,14],[4,5,6,7,10,11,12]]; G[2756]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2757: autom. group order 2, simple, residual B[2757]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,13],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,8,12,14],[1,4,6,9,10,11,14],[1,4,7,8,11,13,14],[1,5,7,8,9,12,14],[1,5,7,9,10,12,13],[2,3,6,7,9,12,14],[2,3,7,8,11,12,14],[2,4,5,11,12,13,14],[2,4,6,7,8,9,10],[2,4,8,9,10,13,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,14],[3,4,5,7,9,11,13],[3,4,6,9,12,13,14],[3,4,7,8,10,12,13],[3,5,6,8,9,11,13],[3,5,6,8,10,11,14],[4,5,6,7,10,11,12]]; G[2757]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2758: autom. group order 2, simple, residual B[2758]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,13],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,8,11,14],[1,4,6,9,12,13,14],[1,4,7,8,10,12,13],[1,5,7,8,9,12,14],[1,5,7,9,10,11,14],[2,3,6,7,9,12,14],[2,3,7,8,11,12,14],[2,4,5,11,12,13,14],[2,4,6,7,8,9,10],[2,4,8,9,10,13,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,7,9,12,13],[3,4,6,9,10,11,14],[3,4,7,8,11,13,14],[3,5,6,8,9,11,13],[3,5,6,8,10,12,13],[4,5,6,7,10,11,12]]; G[2758]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2759: autom. group order 2, simple, residual B[2759]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,8,12,13],[1,4,6,9,11,13,14],[1,4,7,8,10,11,14],[1,5,7,8,9,12,14],[1,5,7,9,10,12,13],[2,3,6,7,9,12,14],[2,3,7,8,11,12,13],[2,4,5,11,12,13,14],[2,4,6,7,8,9,10],[2,4,8,9,10,13,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,7,9,11,14],[3,4,6,9,10,12,13],[3,4,7,8,12,13,14],[3,5,6,8,9,11,13],[3,5,6,8,10,11,14],[4,5,6,7,10,11,12]]; G[2759]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2760: autom. group order 2, simple, residual B[2760]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,8,9,12],[1,3,8,9,11,13,14],[1,4,5,6,11,12,14],[1,4,6,8,10,11,13],[1,4,7,9,12,13,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,6,7,9,11,14],[2,3,7,8,10,12,13],[2,4,5,8,9,13,14],[2,4,6,7,10,13,14],[2,4,8,9,10,11,12],[2,5,6,9,11,12,13],[2,5,7,8,11,12,14],[3,4,5,7,11,12,13],[3,4,6,8,12,13,14],[3,4,7,9,10,11,14],[3,5,6,8,10,12,14],[3,5,6,9,10,11,13],[4,5,6,7,8,9,10]]; G[2760]:=Group([(1,3)(6,7)(8,9)(13,14)]); # Design 2761: autom. group order 2, simple, residual B[2761]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,8,9,12],[1,3,8,9,11,13,14],[1,4,5,6,11,12,14],[1,4,6,8,10,11,13],[1,4,7,9,12,13,14],[1,5,7,8,10,12,14],[1,5,7,9,10,11,13],[2,3,6,7,9,11,14],[2,3,7,8,10,12,13],[2,4,5,8,9,13,14],[2,4,6,7,10,13,14],[2,4,8,9,10,11,12],[2,5,6,9,11,12,13],[2,5,7,8,11,12,14],[3,4,5,7,11,12,13],[3,4,6,8,12,13,14],[3,4,7,9,10,11,14],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13],[4,5,6,7,8,9,10]]; G[2761]:=Group([(1,3)(6,7)(8,9)(13,14)]); # Design 2762: autom. group order 2, simple, residual B[2762]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,8,9,12],[1,3,8,9,11,13,14],[1,4,5,6,11,12,14],[1,4,6,8,12,13,14],[1,4,7,9,10,11,13],[1,5,7,8,10,11,14],[1,5,7,9,10,12,14],[2,3,6,7,9,11,14],[2,3,7,8,10,12,14],[2,4,5,8,9,13,14],[2,4,6,7,10,13,14],[2,4,8,9,10,11,12],[2,5,6,9,11,12,14],[2,5,7,8,11,12,13],[3,4,5,7,11,12,13],[3,4,6,8,10,11,14],[3,4,7,9,12,13,14],[3,5,6,8,10,12,13],[3,5,6,9,10,11,13],[4,5,6,7,8,9,10]]; G[2762]:=Group([(1,3)(6,7)(8,9)(13,14)]); # Design 2763: autom. group order 2, simple, residual B[2763]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,8,9,12],[1,3,8,9,11,13,14],[1,4,5,6,11,12,14],[1,4,6,8,12,13,14],[1,4,7,9,10,11,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,6,7,9,11,14],[2,3,7,8,10,12,14],[2,4,5,8,9,13,14],[2,4,6,7,10,13,14],[2,4,8,9,10,11,12],[2,5,6,9,11,12,14],[2,5,7,8,11,12,13],[3,4,5,7,11,12,13],[3,4,6,8,10,11,13],[3,4,7,9,12,13,14],[3,5,6,8,10,12,14],[3,5,6,9,10,11,13],[4,5,6,7,8,9,10]]; G[2763]:=Group([(1,3)(6,7)(8,9)(13,14)]); # Design 2764: autom. group order 2, simple, residual B[2764]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,8,9,12],[1,3,8,9,11,13,14],[1,4,5,6,11,12,14],[1,4,6,8,12,13,14],[1,4,7,9,10,11,13],[1,5,7,8,10,12,14],[1,5,7,9,10,11,14],[2,3,6,7,9,11,14],[2,3,7,8,10,12,14],[2,4,5,8,9,13,14],[2,4,6,7,10,13,14],[2,4,8,9,10,11,12],[2,5,6,9,11,12,14],[2,5,7,8,11,12,13],[3,4,5,7,11,12,13],[3,4,6,8,10,11,14],[3,4,7,9,12,13,14],[3,5,6,8,10,11,13],[3,5,6,9,10,12,13],[4,5,6,7,8,9,10]]; G[2764]:=Group([(1,3)(6,7)(8,9)(13,14)]); # Design 2765: autom. group order 2, simple, residual B[2765]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,11,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,11,14],[1,4,6,9,10,12,13],[1,4,7,9,12,13,14],[1,5,7,8,9,11,13],[1,5,7,8,10,12,14],[2,3,6,7,9,12,14],[2,3,7,9,11,12,13],[2,4,5,11,12,13,14],[2,4,6,7,8,9,10],[2,4,8,9,10,13,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,14],[3,4,5,7,8,12,13],[3,4,6,8,11,13,14],[3,4,7,8,10,11,14],[3,5,6,8,9,12,14],[3,5,6,9,10,11,13],[4,5,6,7,10,11,12]]; G[2765]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2766: autom. group order 2, simple, residual B[2766]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,11,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,12,13],[1,4,6,9,10,11,14],[1,4,7,9,12,13,14],[1,5,7,8,9,11,13],[1,5,7,8,10,12,14],[2,3,6,7,9,12,14],[2,3,7,9,11,12,13],[2,4,5,11,12,13,14],[2,4,6,7,8,9,10],[2,4,8,9,10,13,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,14],[3,4,5,7,8,11,14],[3,4,6,8,11,13,14],[3,4,7,8,10,12,13],[3,5,6,8,9,12,14],[3,5,6,9,10,11,13],[4,5,6,7,10,11,12]]; G[2766]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2767: autom. group order 2, simple, residual B[2767]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,11,12,13],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,11,14],[1,4,6,9,12,13,14],[1,4,7,9,10,12,13],[1,5,7,8,9,11,14],[1,5,7,8,10,12,14],[2,3,6,7,9,12,14],[2,3,7,9,11,12,14],[2,4,5,11,12,13,14],[2,4,6,7,8,9,10],[2,4,8,9,10,13,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,7,8,12,13],[3,4,6,8,10,11,14],[3,4,7,8,11,13,14],[3,5,6,8,9,12,13],[3,5,6,9,10,11,13],[4,5,6,7,10,11,12]]; G[2767]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2768: autom. group order 2, simple, residual B[2768]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,11,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,12,13],[1,4,6,9,11,13,14],[1,4,7,9,10,12,14],[1,5,7,8,9,11,14],[1,5,7,8,10,12,13],[2,3,6,7,9,12,14],[2,3,7,9,11,12,13],[2,4,5,11,12,13,14],[2,4,6,7,8,9,10],[2,4,8,9,10,13,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,7,8,11,14],[3,4,6,8,10,11,13],[3,4,7,8,12,13,14],[3,5,6,8,9,12,13],[3,5,6,9,10,11,14],[4,5,6,7,10,11,12]]; G[2768]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2769: autom. group order 2, simple, residual B[2769]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,11,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,11,13],[1,4,6,9,10,12,14],[1,4,7,8,12,13,14],[1,5,7,8,9,11,14],[1,5,7,9,10,12,13],[2,3,6,7,9,12,14],[2,3,7,9,11,12,13],[2,4,5,11,12,13,14],[2,4,6,7,8,9,10],[2,4,8,9,10,13,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,14],[3,4,5,7,8,12,14],[3,4,6,9,11,13,14],[3,4,7,8,10,11,13],[3,5,6,8,9,12,13],[3,5,6,8,10,11,14],[4,5,6,7,10,11,12]]; G[2769]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2770: autom. group order 2, simple, residual B[2770]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,11,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,12,14],[1,4,6,9,10,11,13],[1,4,7,8,12,13,14],[1,5,7,8,9,11,14],[1,5,7,9,10,12,13],[2,3,6,7,9,12,14],[2,3,7,9,11,12,13],[2,4,5,11,12,13,14],[2,4,6,7,8,9,10],[2,4,8,9,10,13,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,14],[3,4,5,7,8,11,13],[3,4,6,9,11,13,14],[3,4,7,8,10,12,14],[3,5,6,8,9,12,13],[3,5,6,8,10,11,14],[4,5,6,7,10,11,12]]; G[2770]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2771: autom. group order 2, simple, residual B[2771]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,11,12,13],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,11,14],[1,4,6,9,12,13,14],[1,4,7,8,10,12,14],[1,5,7,8,9,11,14],[1,5,7,9,10,12,13],[2,3,6,7,9,12,14],[2,3,7,9,11,12,14],[2,4,5,11,12,13,14],[2,4,6,7,8,9,10],[2,4,8,9,10,13,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,7,8,12,13],[3,4,6,9,10,11,13],[3,4,7,8,11,13,14],[3,5,6,8,9,12,13],[3,5,6,8,10,11,14],[4,5,6,7,10,11,12]]; G[2771]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2772: autom. group order 2, simple, residual B[2772]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,11,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,12,13],[1,4,6,9,11,13,14],[1,4,7,8,10,12,13],[1,5,7,8,9,11,14],[1,5,7,9,10,12,14],[2,3,6,7,9,12,14],[2,3,7,9,11,12,13],[2,4,5,11,12,13,14],[2,4,6,7,8,9,10],[2,4,8,9,10,13,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,7,8,11,14],[3,4,6,9,10,11,14],[3,4,7,8,12,13,14],[3,5,6,8,9,12,13],[3,5,6,8,10,11,13],[4,5,6,7,10,11,12]]; G[2772]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2773: autom. group order 2, simple, residual B[2773]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,9,11,14],[1,4,6,8,10,12,13],[1,4,7,9,12,13,14],[1,5,7,8,10,11,14],[1,5,7,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,7,10,13,14],[2,4,8,9,10,11,12],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,7,8,12,13],[3,4,6,8,11,13,14],[3,4,7,9,10,11,14],[3,5,6,8,11,12,14],[3,5,6,9,10,12,13],[4,5,6,7,8,9,10]]; G[2773]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2774: autom. group order 2, simple, residual B[2774]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,9,12,13],[1,4,6,8,10,11,14],[1,4,7,9,11,13,14],[1,5,7,8,10,12,13],[1,5,7,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,7,10,13,14],[2,4,8,9,10,11,12],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,7,8,11,14],[3,4,6,8,12,13,14],[3,4,7,9,10,12,13],[3,5,6,8,11,12,13],[3,5,6,9,10,11,14],[4,5,6,7,8,9,10]]; G[2774]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2775: autom. group order 2, simple, residual B[2775]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,11,14],[1,4,6,8,10,12,13],[1,4,7,9,12,13,14],[1,5,7,8,10,11,14],[1,5,7,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,7,8,12,13],[3,4,6,8,11,13,14],[3,4,7,9,10,11,14],[3,5,6,8,11,12,14],[3,5,6,9,10,12,13],[4,5,6,7,8,9,10]]; G[2775]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2776: autom. group order 2, simple, residual B[2776]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,12,13],[1,4,6,8,10,11,14],[1,4,7,9,11,13,14],[1,5,7,8,10,12,13],[1,5,7,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,7,8,11,14],[3,4,6,8,12,13,14],[3,4,7,9,10,12,13],[3,5,6,8,11,12,13],[3,5,6,9,10,11,14],[4,5,6,7,8,9,10]]; G[2776]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2777: autom. group order 2, simple, residual B[2777]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,9,12,14],[1,4,6,8,10,12,13],[1,4,7,9,11,13,14],[1,5,7,8,11,12,14],[1,5,7,9,10,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,7,10,13,14],[2,4,8,9,10,11,12],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,7,8,11,13],[3,4,6,8,12,13,14],[3,4,7,9,10,11,14],[3,5,6,8,10,11,14],[3,5,6,9,11,12,13],[4,5,6,7,8,9,10]]; G[2777]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2778: autom. group order 2, simple, residual B[2778]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,9,12,13],[1,4,6,8,10,12,14],[1,4,7,9,12,13,14],[1,5,7,8,11,12,13],[1,5,7,9,10,11,14],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,7,10,13,14],[2,4,8,9,10,11,12],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,7,8,11,14],[3,4,6,8,11,13,14],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[3,5,6,9,11,12,14],[4,5,6,7,8,9,10]]; G[2778]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2779: autom. group order 2, simple, residual B[2779]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,12,14],[1,4,6,8,10,12,13],[1,4,7,9,11,13,14],[1,5,7,8,11,12,14],[1,5,7,9,10,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,7,8,11,13],[3,4,6,8,12,13,14],[3,4,7,9,10,11,14],[3,5,6,8,10,11,14],[3,5,6,9,11,12,13],[4,5,6,7,8,9,10]]; G[2779]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2780: autom. group order 2, simple, residual B[2780]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,12,13],[1,4,6,8,10,12,14],[1,4,7,9,12,13,14],[1,5,7,8,11,12,13],[1,5,7,9,10,11,14],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,7,8,11,14],[3,4,6,8,11,13,14],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[3,5,6,9,11,12,14],[4,5,6,7,8,9,10]]; G[2780]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2781: autom. group order 2, simple, residual B[2781]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,9,11,13],[1,4,6,8,12,13,14],[1,4,7,9,10,12,13],[1,5,7,8,10,11,14],[1,5,7,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,7,10,13,14],[2,4,8,9,10,11,12],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,7,8,12,14],[3,4,6,8,10,11,14],[3,4,7,9,11,13,14],[3,5,6,8,11,12,13],[3,5,6,9,10,12,13],[4,5,6,7,8,9,10]]; G[2781]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2782: autom. group order 2, simple, residual B[2782]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,9,12,13],[1,4,6,8,11,13,14],[1,4,7,9,10,11,14],[1,5,7,8,10,12,14],[1,5,7,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,7,10,13,14],[2,4,8,9,10,11,12],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,7,8,11,14],[3,4,6,8,10,12,13],[3,4,7,9,12,13,14],[3,5,6,8,11,12,14],[3,5,6,9,10,11,13],[4,5,6,7,8,9,10]]; G[2782]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2783: autom. group order 2, simple, residual B[2783]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,11,13],[1,4,6,8,12,13,14],[1,4,7,9,10,12,13],[1,5,7,8,10,11,14],[1,5,7,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,7,8,12,14],[3,4,6,8,10,11,14],[3,4,7,9,11,13,14],[3,5,6,8,11,12,13],[3,5,6,9,10,12,13],[4,5,6,7,8,9,10]]; G[2783]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2784: autom. group order 2, simple, residual B[2784]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,12,13],[1,4,6,8,11,13,14],[1,4,7,9,10,11,14],[1,5,7,8,10,12,14],[1,5,7,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,7,8,11,14],[3,4,6,8,10,12,13],[3,4,7,9,12,13,14],[3,5,6,8,11,12,14],[3,5,6,9,10,11,13],[4,5,6,7,8,9,10]]; G[2784]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2785: autom. group order 2, simple, residual B[2785]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,9,12,13],[1,4,6,8,12,13,14],[1,4,7,9,10,11,13],[1,5,7,8,11,12,14],[1,5,7,9,10,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,7,10,13,14],[2,4,8,9,10,11,12],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,7,8,11,14],[3,4,6,8,10,12,14],[3,4,7,9,11,13,14],[3,5,6,8,10,11,13],[3,5,6,9,11,12,13],[4,5,6,7,8,9,10]]; G[2785]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2786: autom. group order 2, simple, residual B[2786]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,9,12,13],[1,4,6,8,12,13,14],[1,4,7,9,10,12,14],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,7,10,13,14],[2,4,8,9,10,11,12],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,7,8,11,14],[3,4,6,8,10,11,13],[3,4,7,9,11,13,14],[3,5,6,8,10,12,14],[3,5,6,9,11,12,13],[4,5,6,7,8,9,10]]; G[2786]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2787: autom. group order 2, simple, residual B[2787]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,12,13],[1,4,6,8,12,13,14],[1,4,7,9,10,11,13],[1,5,7,8,11,12,14],[1,5,7,9,10,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,7,8,11,14],[3,4,6,8,10,12,14],[3,4,7,9,11,13,14],[3,5,6,8,10,11,13],[3,5,6,9,11,12,13],[4,5,6,7,8,9,10]]; G[2787]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2788: autom. group order 2, simple, residual B[2788]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,12,13],[1,4,6,8,12,13,14],[1,4,7,9,10,12,14],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,7,8,11,14],[3,4,6,8,10,11,13],[3,4,7,9,11,13,14],[3,5,6,8,10,12,14],[3,5,6,9,11,12,13],[4,5,6,7,8,9,10]]; G[2788]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2789: autom. group order 2, simple, residual B[2789]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,9,11,14],[1,4,6,8,10,12,14],[1,4,7,8,11,13,14],[1,5,7,9,10,12,13],[1,5,7,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,14],[2,4,5,11,12,13,14],[2,4,6,7,10,13,14],[2,4,8,9,10,11,12],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,7,8,12,13],[3,4,6,9,12,13,14],[3,4,7,9,10,11,13],[3,5,6,8,10,11,14],[3,5,6,8,11,12,13],[4,5,6,7,8,9,10]]; G[2789]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2790: autom. group order 2, simple, residual B[2790]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,9,12,14],[1,4,6,8,10,11,14],[1,4,7,8,12,13,14],[1,5,7,9,10,11,14],[1,5,7,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,11,14],[2,4,5,11,12,13,14],[2,4,6,7,10,13,14],[2,4,8,9,10,11,12],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,7,8,11,13],[3,4,6,9,11,13,14],[3,4,7,9,10,12,13],[3,5,6,8,10,12,13],[3,5,6,8,11,12,14],[4,5,6,7,8,9,10]]; G[2790]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2791: autom. group order 2, simple, residual B[2791]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,11,14],[1,4,6,8,10,12,14],[1,4,7,8,11,13,14],[1,5,7,9,10,12,13],[1,5,7,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,14],[2,4,5,11,12,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,7,8,12,13],[3,4,6,9,12,13,14],[3,4,7,9,10,11,13],[3,5,6,8,10,11,14],[3,5,6,8,11,12,13],[4,5,6,7,8,9,10]]; G[2791]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2792: autom. group order 2, simple, residual B[2792]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,12,14],[1,4,6,8,10,11,14],[1,4,7,8,12,13,14],[1,5,7,9,10,11,14],[1,5,7,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,11,14],[2,4,5,11,12,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,7,8,11,13],[3,4,6,9,11,13,14],[3,4,7,9,10,12,13],[3,5,6,8,10,12,13],[3,5,6,8,11,12,14],[4,5,6,7,8,9,10]]; G[2792]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2793: autom. group order 2, simple, residual B[2793]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,9,11,13],[1,4,6,8,12,13,14],[1,4,7,8,10,11,14],[1,5,7,9,10,12,13],[1,5,7,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,7,10,13,14],[2,4,8,9,10,11,12],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,7,8,12,14],[3,4,6,9,10,12,13],[3,4,7,9,11,13,14],[3,5,6,8,10,11,14],[3,5,6,8,11,12,13],[4,5,6,7,8,9,10]]; G[2793]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2794: autom. group order 2, simple, residual B[2794]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,11,13],[1,4,6,8,12,13,14],[1,4,7,8,10,11,14],[1,5,7,9,10,12,13],[1,5,7,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,7,8,12,14],[3,4,6,9,10,12,13],[3,4,7,9,11,13,14],[3,5,6,8,10,11,14],[3,5,6,8,11,12,13],[4,5,6,7,8,9,10]]; G[2794]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2795: autom. group order 2, simple, residual B[2795]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,8,11,14],[1,4,6,9,10,12,13],[1,4,7,9,11,13,14],[1,5,7,8,10,12,13],[1,5,7,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,7,10,13,14],[2,4,8,9,10,11,12],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,7,9,12,13],[3,4,6,8,12,13,14],[3,4,7,8,10,11,14],[3,5,6,8,11,12,13],[3,5,6,9,10,11,14],[4,5,6,7,8,9,10]]; G[2795]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2796: autom. group order 2, simple, residual B[2796]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,8,12,13],[1,4,6,9,10,11,14],[1,4,7,9,12,13,14],[1,5,7,8,10,11,14],[1,5,7,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,7,10,13,14],[2,4,8,9,10,11,12],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,7,9,11,14],[3,4,6,8,11,13,14],[3,4,7,8,10,12,13],[3,5,6,8,11,12,14],[3,5,6,9,10,12,13],[4,5,6,7,8,9,10]]; G[2796]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2797: autom. group order 2, simple, residual B[2797]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,8,11,14],[1,4,6,9,10,12,13],[1,4,7,9,11,13,14],[1,5,7,8,10,12,13],[1,5,7,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,7,9,12,13],[3,4,6,8,12,13,14],[3,4,7,8,10,11,14],[3,5,6,8,11,12,13],[3,5,6,9,10,11,14],[4,5,6,7,8,9,10]]; G[2797]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2798: autom. group order 2, simple, residual B[2798]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,8,12,13],[1,4,6,9,10,11,14],[1,4,7,9,12,13,14],[1,5,7,8,10,11,14],[1,5,7,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,7,9,11,14],[3,4,6,8,11,13,14],[3,4,7,8,10,12,13],[3,5,6,8,11,12,14],[3,5,6,9,10,12,13],[4,5,6,7,8,9,10]]; G[2798]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2799: autom. group order 2, simple, residual B[2799]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,8,12,13],[1,4,6,9,10,12,14],[1,4,7,9,11,13,14],[1,5,7,8,11,12,14],[1,5,7,9,10,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,7,10,13,14],[2,4,8,9,10,11,12],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,7,9,11,14],[3,4,6,8,12,13,14],[3,4,7,8,10,11,13],[3,5,6,8,10,11,14],[3,5,6,9,11,12,13],[4,5,6,7,8,9,10]]; G[2799]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2800: autom. group order 2, simple, residual B[2800]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,8,12,14],[1,4,6,9,10,12,13],[1,4,7,9,12,13,14],[1,5,7,8,11,12,13],[1,5,7,9,10,11,14],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,7,10,13,14],[2,4,8,9,10,11,12],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,7,9,11,13],[3,4,6,8,11,13,14],[3,4,7,8,10,11,14],[3,5,6,8,10,12,13],[3,5,6,9,11,12,14],[4,5,6,7,8,9,10]]; G[2800]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2801: autom. group order 2, simple, residual B[2801]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,8,12,13],[1,4,6,9,10,12,14],[1,4,7,9,11,13,14],[1,5,7,8,11,12,14],[1,5,7,9,10,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,7,9,11,14],[3,4,6,8,12,13,14],[3,4,7,8,10,11,13],[3,5,6,8,10,11,14],[3,5,6,9,11,12,13],[4,5,6,7,8,9,10]]; G[2801]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2802: autom. group order 2, simple, residual B[2802]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,8,12,14],[1,4,6,9,10,12,13],[1,4,7,9,12,13,14],[1,5,7,8,11,12,13],[1,5,7,9,10,11,14],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,7,9,11,13],[3,4,6,8,11,13,14],[3,4,7,8,10,11,14],[3,5,6,8,10,12,13],[3,5,6,9,11,12,14],[4,5,6,7,8,9,10]]; G[2802]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2803: autom. group order 2, simple, residual B[2803]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,8,11,14],[1,4,6,9,12,13,14],[1,4,7,9,10,11,13],[1,5,7,8,10,12,14],[1,5,7,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,14],[2,4,5,11,12,13,14],[2,4,6,7,10,13,14],[2,4,8,9,10,11,12],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,7,9,12,13],[3,4,6,8,10,12,14],[3,4,7,8,11,13,14],[3,5,6,8,11,12,13],[3,5,6,9,10,11,13],[4,5,6,7,8,9,10]]; G[2803]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2804: autom. group order 2, simple, residual B[2804]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,8,12,14],[1,4,6,9,11,13,14],[1,4,7,9,10,12,14],[1,5,7,8,10,11,14],[1,5,7,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,11,14],[2,4,5,11,12,13,14],[2,4,6,7,10,13,14],[2,4,8,9,10,11,12],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,7,9,11,13],[3,4,6,8,10,11,13],[3,4,7,8,12,13,14],[3,5,6,8,11,12,14],[3,5,6,9,10,12,13],[4,5,6,7,8,9,10]]; G[2804]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2805: autom. group order 2, simple, residual B[2805]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,8,11,14],[1,4,6,9,12,13,14],[1,4,7,9,10,11,13],[1,5,7,8,10,12,14],[1,5,7,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,14],[2,4,5,11,12,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,7,9,12,13],[3,4,6,8,10,12,14],[3,4,7,8,11,13,14],[3,5,6,8,11,12,13],[3,5,6,9,10,11,13],[4,5,6,7,8,9,10]]; G[2805]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2806: autom. group order 2, simple, residual B[2806]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,8,12,14],[1,4,6,9,11,13,14],[1,4,7,9,10,12,14],[1,5,7,8,10,11,14],[1,5,7,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,11,14],[2,4,5,11,12,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,7,9,11,13],[3,4,6,8,10,11,13],[3,4,7,8,12,13,14],[3,5,6,8,11,12,14],[3,5,6,9,10,12,13],[4,5,6,7,8,9,10]]; G[2806]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2807: autom. group order 2, simple, residual B[2807]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,13],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,8,12,14],[1,4,6,9,12,13,14],[1,4,7,9,10,11,14],[1,5,7,8,11,12,14],[1,5,7,9,10,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,12,14],[2,4,5,11,12,13,14],[2,4,6,7,10,13,14],[2,4,8,9,10,11,12],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,7,9,11,13],[3,4,6,8,10,12,13],[3,4,7,8,11,13,14],[3,5,6,8,10,11,14],[3,5,6,9,11,12,13],[4,5,6,7,8,9,10]]; G[2807]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2808: autom. group order 2, simple, residual B[2808]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,13],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,8,12,14],[1,4,6,9,12,13,14],[1,4,7,9,10,12,13],[1,5,7,8,11,12,14],[1,5,7,9,10,11,14],[2,3,6,7,9,12,14],[2,3,7,8,9,12,14],[2,4,5,11,12,13,14],[2,4,6,7,10,13,14],[2,4,8,9,10,11,12],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,7,9,11,13],[3,4,6,8,10,11,14],[3,4,7,8,11,13,14],[3,5,6,8,10,12,13],[3,5,6,9,11,12,13],[4,5,6,7,8,9,10]]; G[2808]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2809: autom. group order 2, simple, residual B[2809]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,13],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,8,12,14],[1,4,6,9,12,13,14],[1,4,7,9,10,11,14],[1,5,7,8,11,12,14],[1,5,7,9,10,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,12,14],[2,4,5,11,12,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,7,9,11,13],[3,4,6,8,10,12,13],[3,4,7,8,11,13,14],[3,5,6,8,10,11,14],[3,5,6,9,11,12,13],[4,5,6,7,8,9,10]]; G[2809]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2810: autom. group order 2, simple, residual B[2810]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,13],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,8,12,14],[1,4,6,9,12,13,14],[1,4,7,9,10,12,13],[1,5,7,8,11,12,14],[1,5,7,9,10,11,14],[2,3,6,7,9,12,14],[2,3,7,8,9,12,14],[2,4,5,11,12,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,7,9,11,13],[3,4,6,8,10,11,14],[3,4,7,8,11,13,14],[3,5,6,8,10,12,13],[3,5,6,9,11,12,13],[4,5,6,7,8,9,10]]; G[2810]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2811: autom. group order 2, simple, residual B[2811]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,8,11,14],[1,4,6,9,10,12,14],[1,4,7,8,12,13,14],[1,5,7,9,10,11,14],[1,5,7,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,11,14],[2,4,5,11,12,13,14],[2,4,6,7,10,13,14],[2,4,8,9,10,11,12],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,7,9,12,13],[3,4,6,9,11,13,14],[3,4,7,8,10,11,13],[3,5,6,8,10,12,13],[3,5,6,8,11,12,14],[4,5,6,7,8,9,10]]; G[2811]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2812: autom. group order 2, simple, residual B[2812]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,8,12,14],[1,4,6,9,10,11,14],[1,4,7,8,11,13,14],[1,5,7,9,10,12,13],[1,5,7,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,14],[2,4,5,11,12,13,14],[2,4,6,7,10,13,14],[2,4,8,9,10,11,12],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,7,9,11,13],[3,4,6,9,12,13,14],[3,4,7,8,10,12,13],[3,5,6,8,10,11,14],[3,5,6,8,11,12,13],[4,5,6,7,8,9,10]]; G[2812]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2813: autom. group order 2, simple, residual B[2813]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,8,11,14],[1,4,6,9,10,12,14],[1,4,7,8,12,13,14],[1,5,7,9,10,11,14],[1,5,7,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,11,14],[2,4,5,11,12,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,7,9,12,13],[3,4,6,9,11,13,14],[3,4,7,8,10,11,13],[3,5,6,8,10,12,13],[3,5,6,8,11,12,14],[4,5,6,7,8,9,10]]; G[2813]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2814: autom. group order 2, simple, residual B[2814]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,8,12,14],[1,4,6,9,10,11,14],[1,4,7,8,11,13,14],[1,5,7,9,10,12,13],[1,5,7,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,14],[2,4,5,11,12,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,7,9,11,13],[3,4,6,9,12,13,14],[3,4,7,8,10,12,13],[3,5,6,8,10,11,14],[3,5,6,8,11,12,13],[4,5,6,7,8,9,10]]; G[2814]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2815: autom. group order 2, simple, residual B[2815]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,13],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,6,11,12,14],[1,4,6,9,10,12,14],[1,4,7,8,9,11,14],[1,5,7,8,9,10,12],[1,5,7,8,10,12,13],[2,3,6,7,8,12,14],[2,3,7,9,10,12,14],[2,4,5,8,9,13,14],[2,4,6,8,10,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,11,12],[2,5,9,11,12,13,14],[3,4,5,7,11,12,13],[3,4,6,8,9,12,13],[3,4,7,9,10,11,13],[3,5,6,8,9,10,11],[3,5,6,8,10,11,14],[4,5,6,7,10,13,14]]; G[2815]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 2816: autom. group order 2, simple, residual B[2816]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,6,11,12,14],[1,4,6,9,10,12,13],[1,4,7,8,9,11,13],[1,5,7,8,9,10,12],[1,5,7,8,10,12,14],[2,3,6,7,8,12,14],[2,3,7,9,10,12,13],[2,4,5,8,9,13,14],[2,4,6,8,10,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,11,12],[2,5,9,11,12,13,14],[3,4,5,7,11,12,13],[3,4,6,8,9,12,14],[3,4,7,9,10,11,14],[3,5,6,8,9,10,11],[3,5,6,8,10,11,13],[4,5,6,7,10,13,14]]; G[2816]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 2817: autom. group order 2, simple, residual B[2817]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,6,11,12,13],[1,4,6,9,10,12,14],[1,4,7,8,9,12,13],[1,5,7,8,9,10,11],[1,5,7,8,10,12,14],[2,3,6,7,8,12,14],[2,3,7,9,10,12,13],[2,4,5,8,9,13,14],[2,4,6,8,10,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,11,12],[2,5,9,11,12,13,14],[3,4,5,7,11,12,14],[3,4,6,8,9,11,14],[3,4,7,9,10,11,13],[3,5,6,8,9,10,12],[3,5,6,8,10,11,13],[4,5,6,7,10,13,14]]; G[2817]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 2818: autom. group order 2, simple, residual B[2818]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,6,11,12,13],[1,4,6,9,10,12,14],[1,4,7,8,9,12,14],[1,5,7,8,9,10,11],[1,5,7,8,10,12,13],[2,3,6,7,8,12,14],[2,3,7,9,10,12,13],[2,4,5,8,9,13,14],[2,4,6,8,10,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,11,12],[2,5,9,11,12,13,14],[3,4,5,7,11,12,14],[3,4,6,8,9,11,13],[3,4,7,9,10,11,13],[3,5,6,8,9,10,12],[3,5,6,8,10,11,14],[4,5,6,7,10,13,14]]; G[2818]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 2819: autom. group order 2, simple, residual B[2819]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,13],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,6,11,12,14],[1,4,6,9,10,12,14],[1,4,7,8,9,12,13],[1,5,7,8,9,10,12],[1,5,7,8,10,11,14],[2,3,6,7,8,12,14],[2,3,7,9,10,12,14],[2,4,5,8,9,13,14],[2,4,6,8,10,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,11,12],[2,5,9,11,12,13,14],[3,4,5,7,11,12,13],[3,4,6,8,9,11,14],[3,4,7,9,10,11,13],[3,5,6,8,9,10,11],[3,5,6,8,10,12,13],[4,5,6,7,10,13,14]]; G[2819]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 2820: autom. group order 2, simple, residual B[2820]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,6,11,12,14],[1,4,6,9,10,12,13],[1,4,7,8,9,12,14],[1,5,7,8,9,10,12],[1,5,7,8,10,11,13],[2,3,6,7,8,12,14],[2,3,7,9,10,12,13],[2,4,5,8,9,13,14],[2,4,6,8,10,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,11,12],[2,5,9,11,12,13,14],[3,4,5,7,11,12,13],[3,4,6,8,9,11,13],[3,4,7,9,10,11,14],[3,5,6,8,9,10,11],[3,5,6,8,10,12,14],[4,5,6,7,10,13,14]]; G[2820]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 2821: autom. group order 2, simple, residual B[2821]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,6,11,12,14],[1,4,6,9,10,11,14],[1,4,7,8,9,11,13],[1,5,7,8,9,10,12],[1,5,7,8,10,12,14],[2,3,6,7,8,12,14],[2,3,7,9,10,11,14],[2,4,5,8,9,13,14],[2,4,6,8,10,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,11,12],[2,5,9,11,12,13,14],[3,4,5,7,11,12,13],[3,4,6,8,9,12,14],[3,4,7,9,10,12,13],[3,5,6,8,9,10,11],[3,5,6,8,10,11,13],[4,5,6,7,10,13,14]]; G[2821]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 2822: autom. group order 2, simple, residual B[2822]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,6,11,12,14],[1,4,6,9,10,11,13],[1,4,7,8,9,11,14],[1,5,7,8,9,10,12],[1,5,7,8,10,12,13],[2,3,6,7,8,12,14],[2,3,7,9,10,11,13],[2,4,5,8,9,13,14],[2,4,6,8,10,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,11,12],[2,5,9,11,12,13,14],[3,4,5,7,11,12,13],[3,4,6,8,9,12,13],[3,4,7,9,10,12,14],[3,5,6,8,9,10,11],[3,5,6,8,10,11,14],[4,5,6,7,10,13,14]]; G[2822]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 2823: autom. group order 2, simple, residual B[2823]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,6,11,12,13],[1,4,6,9,10,11,14],[1,4,7,8,9,12,13],[1,5,7,8,9,10,11],[1,5,7,8,10,12,14],[2,3,6,7,8,12,14],[2,3,7,9,10,11,13],[2,4,5,8,9,13,14],[2,4,6,8,10,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,11,12],[2,5,9,11,12,13,14],[3,4,5,7,11,12,14],[3,4,6,8,9,11,14],[3,4,7,9,10,12,13],[3,5,6,8,9,10,12],[3,5,6,8,10,11,13],[4,5,6,7,10,13,14]]; G[2823]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 2824: autom. group order 2, simple, residual B[2824]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,6,11,12,13],[1,4,6,9,10,11,14],[1,4,7,8,9,12,14],[1,5,7,8,9,10,11],[1,5,7,8,10,12,13],[2,3,6,7,8,12,14],[2,3,7,9,10,11,13],[2,4,5,8,9,13,14],[2,4,6,8,10,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,11,12],[2,5,9,11,12,13,14],[3,4,5,7,11,12,14],[3,4,6,8,9,11,13],[3,4,7,9,10,12,13],[3,5,6,8,9,10,12],[3,5,6,8,10,11,14],[4,5,6,7,10,13,14]]; G[2824]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 2825: autom. group order 2, simple, residual B[2825]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,6,11,12,14],[1,4,6,9,10,11,14],[1,4,7,8,9,12,14],[1,5,7,8,9,10,12],[1,5,7,8,10,11,13],[2,3,6,7,8,12,14],[2,3,7,9,10,11,14],[2,4,5,8,9,13,14],[2,4,6,8,10,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,11,12],[2,5,9,11,12,13,14],[3,4,5,7,11,12,13],[3,4,6,8,9,11,13],[3,4,7,9,10,12,13],[3,5,6,8,9,10,11],[3,5,6,8,10,12,14],[4,5,6,7,10,13,14]]; G[2825]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 2826: autom. group order 2, simple, residual B[2826]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,6,11,12,14],[1,4,6,9,10,11,13],[1,4,7,8,9,12,13],[1,5,7,8,9,10,12],[1,5,7,8,10,11,14],[2,3,6,7,8,12,14],[2,3,7,9,10,11,13],[2,4,5,8,9,13,14],[2,4,6,8,10,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,11,12],[2,5,9,11,12,13,14],[3,4,5,7,11,12,13],[3,4,6,8,9,11,14],[3,4,7,9,10,12,14],[3,5,6,8,9,10,11],[3,5,6,8,10,12,13],[4,5,6,7,10,13,14]]; G[2826]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 2827: autom. group order 2, simple, residual B[2827]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,13],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,6,11,12,14],[1,4,6,8,9,12,14],[1,4,7,9,10,11,14],[1,5,7,8,9,10,12],[1,5,7,8,10,12,13],[2,3,6,7,8,12,14],[2,3,7,9,10,12,14],[2,4,5,8,9,13,14],[2,4,6,8,10,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,11,12],[2,5,9,11,12,13,14],[3,4,5,7,11,12,13],[3,4,6,9,10,12,13],[3,4,7,8,9,11,13],[3,5,6,8,9,10,11],[3,5,6,8,10,11,14],[4,5,6,7,10,13,14]]; G[2827]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 2828: autom. group order 2, simple, residual B[2828]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,6,11,12,14],[1,4,6,8,9,12,13],[1,4,7,9,10,11,13],[1,5,7,8,9,10,12],[1,5,7,8,10,12,14],[2,3,6,7,8,12,14],[2,3,7,9,10,12,13],[2,4,5,8,9,13,14],[2,4,6,8,10,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,11,12],[2,5,9,11,12,13,14],[3,4,5,7,11,12,13],[3,4,6,9,10,12,14],[3,4,7,8,9,11,14],[3,5,6,8,9,10,11],[3,5,6,8,10,11,13],[4,5,6,7,10,13,14]]; G[2828]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 2829: autom. group order 2, simple, residual B[2829]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,6,11,12,13],[1,4,6,8,9,12,14],[1,4,7,9,10,12,13],[1,5,7,8,9,10,11],[1,5,7,8,10,12,14],[2,3,6,7,8,12,14],[2,3,7,9,10,12,13],[2,4,5,8,9,13,14],[2,4,6,8,10,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,11,12],[2,5,9,11,12,13,14],[3,4,5,7,11,12,14],[3,4,6,9,10,11,14],[3,4,7,8,9,11,13],[3,5,6,8,9,10,12],[3,5,6,8,10,11,13],[4,5,6,7,10,13,14]]; G[2829]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 2830: autom. group order 2, simple, residual B[2830]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,6,11,12,13],[1,4,6,8,9,12,14],[1,4,7,9,10,12,14],[1,5,7,8,9,10,11],[1,5,7,8,10,12,13],[2,3,6,7,8,12,14],[2,3,7,9,10,12,13],[2,4,5,8,9,13,14],[2,4,6,8,10,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,11,12],[2,5,9,11,12,13,14],[3,4,5,7,11,12,14],[3,4,6,9,10,11,13],[3,4,7,8,9,11,13],[3,5,6,8,9,10,12],[3,5,6,8,10,11,14],[4,5,6,7,10,13,14]]; G[2830]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 2831: autom. group order 2, simple, residual B[2831]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,13],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,6,11,12,14],[1,4,6,8,9,12,14],[1,4,7,9,10,12,13],[1,5,7,8,9,10,12],[1,5,7,8,10,11,14],[2,3,6,7,8,12,14],[2,3,7,9,10,12,14],[2,4,5,8,9,13,14],[2,4,6,8,10,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,11,12],[2,5,9,11,12,13,14],[3,4,5,7,11,12,13],[3,4,6,9,10,11,14],[3,4,7,8,9,11,13],[3,5,6,8,9,10,11],[3,5,6,8,10,12,13],[4,5,6,7,10,13,14]]; G[2831]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 2832: autom. group order 2, simple, residual B[2832]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,6,11,12,14],[1,4,6,8,9,12,13],[1,4,7,9,10,12,14],[1,5,7,8,9,10,12],[1,5,7,8,10,11,13],[2,3,6,7,8,12,14],[2,3,7,9,10,12,13],[2,4,5,8,9,13,14],[2,4,6,8,10,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,11,12],[2,5,9,11,12,13,14],[3,4,5,7,11,12,13],[3,4,6,9,10,11,13],[3,4,7,8,9,11,14],[3,5,6,8,9,10,11],[3,5,6,8,10,12,14],[4,5,6,7,10,13,14]]; G[2832]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 2833: autom. group order 2, simple, residual B[2833]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,6,11,12,14],[1,4,6,8,9,11,14],[1,4,7,9,10,11,13],[1,5,7,8,9,10,12],[1,5,7,8,10,12,14],[2,3,6,7,8,12,14],[2,3,7,9,10,11,14],[2,4,5,8,9,13,14],[2,4,6,8,10,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,11,12],[2,5,9,11,12,13,14],[3,4,5,7,11,12,13],[3,4,6,9,10,12,14],[3,4,7,8,9,12,13],[3,5,6,8,9,10,11],[3,5,6,8,10,11,13],[4,5,6,7,10,13,14]]; G[2833]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 2834: autom. group order 2, simple, residual B[2834]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,6,11,12,14],[1,4,6,8,9,11,13],[1,4,7,9,10,11,14],[1,5,7,8,9,10,12],[1,5,7,8,10,12,13],[2,3,6,7,8,12,14],[2,3,7,9,10,11,13],[2,4,5,8,9,13,14],[2,4,6,8,10,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,11,12],[2,5,9,11,12,13,14],[3,4,5,7,11,12,13],[3,4,6,9,10,12,13],[3,4,7,8,9,12,14],[3,5,6,8,9,10,11],[3,5,6,8,10,11,14],[4,5,6,7,10,13,14]]; G[2834]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 2835: autom. group order 2, simple, residual B[2835]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,6,11,12,13],[1,4,6,8,9,11,14],[1,4,7,9,10,12,13],[1,5,7,8,9,10,11],[1,5,7,8,10,12,14],[2,3,6,7,8,12,14],[2,3,7,9,10,11,13],[2,4,5,8,9,13,14],[2,4,6,8,10,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,11,12],[2,5,9,11,12,13,14],[3,4,5,7,11,12,14],[3,4,6,9,10,11,14],[3,4,7,8,9,12,13],[3,5,6,8,9,10,12],[3,5,6,8,10,11,13],[4,5,6,7,10,13,14]]; G[2835]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 2836: autom. group order 2, simple, residual B[2836]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,6,11,12,13],[1,4,6,8,9,11,14],[1,4,7,9,10,12,14],[1,5,7,8,9,10,11],[1,5,7,8,10,12,13],[2,3,6,7,8,12,14],[2,3,7,9,10,11,13],[2,4,5,8,9,13,14],[2,4,6,8,10,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,11,12],[2,5,9,11,12,13,14],[3,4,5,7,11,12,14],[3,4,6,9,10,11,13],[3,4,7,8,9,12,13],[3,5,6,8,9,10,12],[3,5,6,8,10,11,14],[4,5,6,7,10,13,14]]; G[2836]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 2837: autom. group order 2, simple, residual B[2837]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,6,11,12,14],[1,4,6,8,9,11,14],[1,4,7,9,10,12,14],[1,5,7,8,9,10,12],[1,5,7,8,10,11,13],[2,3,6,7,8,12,14],[2,3,7,9,10,11,14],[2,4,5,8,9,13,14],[2,4,6,8,10,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,11,12],[2,5,9,11,12,13,14],[3,4,5,7,11,12,13],[3,4,6,9,10,11,13],[3,4,7,8,9,12,13],[3,5,6,8,9,10,11],[3,5,6,8,10,12,14],[4,5,6,7,10,13,14]]; G[2837]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 2838: autom. group order 2, simple, residual B[2838]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,6,11,12,14],[1,4,6,8,9,11,13],[1,4,7,9,10,12,13],[1,5,7,8,9,10,12],[1,5,7,8,10,11,14],[2,3,6,7,8,12,14],[2,3,7,9,10,11,13],[2,4,5,8,9,13,14],[2,4,6,8,10,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,11,12],[2,5,9,11,12,13,14],[3,4,5,7,11,12,13],[3,4,6,9,10,11,14],[3,4,7,8,9,12,14],[3,5,6,8,9,10,11],[3,5,6,8,10,12,13],[4,5,6,7,10,13,14]]; G[2838]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 2839: autom. group order 2, simple, residual B[2839]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,13,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,9,12,14],[1,4,6,8,10,12,13],[1,4,7,8,9,11,14],[1,5,7,8,10,12,14],[1,5,7,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,12,13,14],[2,4,5,11,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,10,12,13],[2,5,6,7,8,9,10],[2,5,8,9,10,11,12],[3,4,5,7,8,11,13],[3,4,6,8,9,12,13],[3,4,7,9,10,11,14],[3,5,6,8,11,12,14],[3,5,6,9,10,11,13],[4,5,6,7,10,13,14]]; G[2839]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2840: autom. group order 2, simple, residual B[2840]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,12,13,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,9,11,13],[1,4,6,8,10,12,14],[1,4,7,8,9,11,14],[1,5,7,8,10,12,13],[1,5,7,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,11,13,14],[2,4,5,11,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,10,12,13],[2,5,6,7,8,9,10],[2,5,8,9,10,11,12],[3,4,5,7,8,12,14],[3,4,6,8,9,12,13],[3,4,7,9,10,11,13],[3,5,6,8,11,12,13],[3,5,6,9,10,11,14],[4,5,6,7,10,13,14]]; G[2840]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2841: autom. group order 2, simple, residual B[2841]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,13,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,9,12,13],[1,4,6,8,10,12,14],[1,4,7,8,9,12,14],[1,5,7,8,11,12,13],[1,5,7,9,10,11,14],[2,3,6,7,9,12,14],[2,3,7,8,12,13,14],[2,4,5,11,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,10,12,13],[2,5,6,7,8,9,10],[2,5,8,9,10,11,12],[3,4,5,7,8,11,14],[3,4,6,8,9,11,13],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[3,5,6,9,11,12,14],[4,5,6,7,10,13,14]]; G[2841]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2842: autom. group order 2, simple, residual B[2842]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,12,13,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,9,11,14],[1,4,6,8,10,12,13],[1,4,7,8,9,12,14],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,6,7,9,12,14],[2,3,7,8,11,13,14],[2,4,5,11,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,10,12,13],[2,5,6,7,8,9,10],[2,5,8,9,10,11,12],[3,4,5,7,8,12,13],[3,4,6,8,9,11,13],[3,4,7,9,10,11,14],[3,5,6,8,10,12,14],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[2842]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2843: autom. group order 2, simple, residual B[2843]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,6,12,13,14],[1,4,6,8,9,10,13],[1,4,7,8,10,11,14],[1,5,7,8,9,12,14],[1,5,7,9,10,12,13],[2,3,6,7,8,12,13],[2,3,7,9,10,12,14],[2,4,5,8,9,11,12],[2,4,6,9,12,13,14],[2,4,7,9,11,13,14],[2,5,6,7,8,10,14],[2,5,8,10,11,12,13],[3,4,5,7,11,13,14],[3,4,6,8,10,12,14],[3,4,7,8,9,10,13],[3,5,6,8,9,11,14],[3,5,6,9,10,11,13],[4,5,6,7,10,11,12]]; G[2843]:=Group([(1,3)(6,7)(11,12)]); # Design 2844: autom. group order 2, simple, residual B[2844]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,6,12,13,14],[1,4,6,8,9,10,13],[1,4,7,8,10,12,14],[1,5,7,8,9,11,14],[1,5,7,9,10,12,13],[2,3,6,7,8,12,13],[2,3,7,9,10,12,14],[2,4,5,8,9,11,12],[2,4,6,9,12,13,14],[2,4,7,9,11,13,14],[2,5,6,7,8,10,14],[2,5,8,10,11,12,13],[3,4,5,7,11,13,14],[3,4,6,8,10,11,14],[3,4,7,8,9,10,13],[3,5,6,8,9,12,14],[3,5,6,9,10,11,13],[4,5,6,7,10,11,12]]; G[2844]:=Group([(1,3)(6,7)(11,12)]); # Design 2845: autom. group order 2, simple, residual B[2845]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,6,12,13,14],[1,4,6,8,9,10,13],[1,4,7,8,10,12,14],[1,5,7,8,9,12,14],[1,5,7,9,10,11,13],[2,3,6,7,8,12,13],[2,3,7,9,10,12,14],[2,4,5,8,9,11,12],[2,4,6,9,12,13,14],[2,4,7,9,11,13,14],[2,5,6,7,8,10,14],[2,5,8,10,11,12,13],[3,4,5,7,11,13,14],[3,4,6,8,10,11,14],[3,4,7,8,9,10,13],[3,5,6,8,9,11,14],[3,5,6,9,10,12,13],[4,5,6,7,10,11,12]]; G[2845]:=Group([(1,3)(6,7)(11,12)]); # Design 2846: autom. group order 2, simple, residual B[2846]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,6,11,13,14],[1,4,6,8,9,10,13],[1,4,7,8,10,11,14],[1,5,7,8,9,12,14],[1,5,7,9,10,12,13],[2,3,6,7,8,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,12],[2,4,6,9,12,13,14],[2,4,7,9,11,13,14],[2,5,6,7,8,10,14],[2,5,8,10,11,12,13],[3,4,5,7,12,13,14],[3,4,6,8,10,12,14],[3,4,7,8,9,10,13],[3,5,6,8,9,11,14],[3,5,6,9,10,11,13],[4,5,6,7,10,11,12]]; G[2846]:=Group([(1,3)(6,7)(11,12)]); # Design 2847: autom. group order 2, simple, residual B[2847]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,6,11,13,14],[1,4,6,8,9,10,13],[1,4,7,8,10,12,14],[1,5,7,8,9,11,14],[1,5,7,9,10,12,13],[2,3,6,7,8,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,12],[2,4,6,9,12,13,14],[2,4,7,9,11,13,14],[2,5,6,7,8,10,14],[2,5,8,10,11,12,13],[3,4,5,7,12,13,14],[3,4,6,8,10,11,14],[3,4,7,8,9,10,13],[3,5,6,8,9,12,14],[3,5,6,9,10,11,13],[4,5,6,7,10,11,12]]; G[2847]:=Group([(1,3)(6,7)(11,12)]); # Design 2848: autom. group order 2, simple, residual B[2848]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,6,11,13,14],[1,4,6,8,9,10,13],[1,4,7,8,10,12,14],[1,5,7,8,9,12,14],[1,5,7,9,10,11,13],[2,3,6,7,8,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,12],[2,4,6,9,12,13,14],[2,4,7,9,11,13,14],[2,5,6,7,8,10,14],[2,5,8,10,11,12,13],[3,4,5,7,12,13,14],[3,4,6,8,10,11,14],[3,4,7,8,9,10,13],[3,5,6,8,9,11,14],[3,5,6,9,10,12,13],[4,5,6,7,10,11,12]]; G[2848]:=Group([(1,3)(6,7)(11,12)]); # Design 2849: autom. group order 2, simple, residual B[2849]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,6,12,13,14],[1,4,6,8,10,12,14],[1,4,7,8,9,10,13],[1,5,7,8,9,11,14],[1,5,7,9,10,12,13],[2,3,6,7,8,12,13],[2,3,7,9,10,12,14],[2,4,5,8,9,11,12],[2,4,6,9,11,13,14],[2,4,7,9,12,13,14],[2,5,6,7,8,10,14],[2,5,8,10,11,12,13],[3,4,5,7,11,13,14],[3,4,6,8,9,10,13],[3,4,7,8,10,11,14],[3,5,6,8,9,12,14],[3,5,6,9,10,11,13],[4,5,6,7,10,11,12]]; G[2849]:=Group([(1,3)(6,7)(11,12)]); # Design 2850: autom. group order 2, simple, residual B[2850]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,6,12,13,14],[1,4,6,8,10,12,14],[1,4,7,8,9,10,13],[1,5,7,8,9,12,14],[1,5,7,9,10,11,13],[2,3,6,7,8,12,13],[2,3,7,9,10,12,14],[2,4,5,8,9,11,12],[2,4,6,9,11,13,14],[2,4,7,9,12,13,14],[2,5,6,7,8,10,14],[2,5,8,10,11,12,13],[3,4,5,7,11,13,14],[3,4,6,8,9,10,13],[3,4,7,8,10,11,14],[3,5,6,8,9,11,14],[3,5,6,9,10,12,13],[4,5,6,7,10,11,12]]; G[2850]:=Group([(1,3)(6,7)(11,12)]); # Design 2851: autom. group order 2, simple, residual B[2851]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,6,11,13,14],[1,4,6,8,10,12,14],[1,4,7,8,9,10,13],[1,5,7,8,9,11,14],[1,5,7,9,10,12,13],[2,3,6,7,8,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,12],[2,4,6,9,11,13,14],[2,4,7,9,12,13,14],[2,5,6,7,8,10,14],[2,5,8,10,11,12,13],[3,4,5,7,12,13,14],[3,4,6,8,9,10,13],[3,4,7,8,10,11,14],[3,5,6,8,9,12,14],[3,5,6,9,10,11,13],[4,5,6,7,10,11,12]]; G[2851]:=Group([(1,3)(6,7)(11,12)]); # Design 2852: autom. group order 2, simple, residual B[2852]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,6,11,13,14],[1,4,6,8,10,12,14],[1,4,7,8,9,10,13],[1,5,7,8,9,12,14],[1,5,7,9,10,11,13],[2,3,6,7,8,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,12],[2,4,6,9,11,13,14],[2,4,7,9,12,13,14],[2,5,6,7,8,10,14],[2,5,8,10,11,12,13],[3,4,5,7,12,13,14],[3,4,6,8,9,10,13],[3,4,7,8,10,11,14],[3,5,6,8,9,11,14],[3,5,6,9,10,12,13],[4,5,6,7,10,11,12]]; G[2852]:=Group([(1,3)(6,7)(11,12)]); # Design 2853: autom. group order 2, simple, residual B[2853]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,6,12,13,14],[1,4,6,8,10,11,14],[1,4,7,8,9,10,13],[1,5,7,8,9,11,14],[1,5,7,9,10,12,13],[2,3,6,7,8,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,12],[2,4,6,9,11,13,14],[2,4,7,9,12,13,14],[2,5,6,7,8,10,14],[2,5,8,10,11,12,13],[3,4,5,7,11,13,14],[3,4,6,8,9,10,13],[3,4,7,8,10,12,14],[3,5,6,8,9,12,14],[3,5,6,9,10,11,13],[4,5,6,7,10,11,12]]; G[2853]:=Group([(1,3)(6,7)(11,12)]); # Design 2854: autom. group order 2, simple, residual B[2854]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,6,12,13,14],[1,4,6,8,10,11,14],[1,4,7,8,9,10,13],[1,5,7,8,9,12,14],[1,5,7,9,10,11,13],[2,3,6,7,8,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,12],[2,4,6,9,11,13,14],[2,4,7,9,12,13,14],[2,5,6,7,8,10,14],[2,5,8,10,11,12,13],[3,4,5,7,11,13,14],[3,4,6,8,9,10,13],[3,4,7,8,10,12,14],[3,5,6,8,9,11,14],[3,5,6,9,10,12,13],[4,5,6,7,10,11,12]]; G[2854]:=Group([(1,3)(6,7)(11,12)]); # Design 2855: autom. group order 2, simple, residual B[2855]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,13,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,8,12,13],[1,4,6,9,10,12,14],[1,4,7,8,9,11,14],[1,5,7,8,10,12,14],[1,5,7,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,12,13,14],[2,4,5,11,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,10,12,13],[2,5,6,7,8,9,10],[2,5,8,9,10,11,12],[3,4,5,7,9,11,14],[3,4,6,8,9,12,13],[3,4,7,8,10,11,13],[3,5,6,8,11,12,14],[3,5,6,9,10,11,13],[4,5,6,7,10,13,14]]; G[2855]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2856: autom. group order 2, simple, residual B[2856]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,12,13,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,8,12,14],[1,4,6,9,10,11,13],[1,4,7,8,9,11,14],[1,5,7,8,10,12,13],[1,5,7,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,11,13,14],[2,4,5,11,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,10,12,13],[2,5,6,7,8,9,10],[2,5,8,9,10,11,12],[3,4,5,7,9,11,13],[3,4,6,8,9,12,13],[3,4,7,8,10,12,14],[3,5,6,8,11,12,13],[3,5,6,9,10,11,14],[4,5,6,7,10,13,14]]; G[2856]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2857: autom. group order 2, simple, residual B[2857]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,13,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,8,12,14],[1,4,6,9,10,12,13],[1,4,7,8,9,12,14],[1,5,7,8,11,12,13],[1,5,7,9,10,11,14],[2,3,6,7,9,12,14],[2,3,7,8,12,13,14],[2,4,5,11,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,10,12,13],[2,5,6,7,8,9,10],[2,5,8,9,10,11,12],[3,4,5,7,9,11,13],[3,4,6,8,9,11,13],[3,4,7,8,10,11,14],[3,5,6,8,10,12,13],[3,5,6,9,11,12,14],[4,5,6,7,10,13,14]]; G[2857]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2858: autom. group order 2, simple, residual B[2858]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,12,13,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,8,12,13],[1,4,6,9,10,11,14],[1,4,7,8,9,12,14],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,6,7,9,12,14],[2,3,7,8,11,13,14],[2,4,5,11,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,10,12,13],[2,5,6,7,8,9,10],[2,5,8,9,10,11,12],[3,4,5,7,9,11,14],[3,4,6,8,9,11,13],[3,4,7,8,10,12,13],[3,5,6,8,10,12,14],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[2858]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2859: autom. group order 2, simple, residual B[2859]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,13,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,8,12,14],[1,4,6,8,9,12,13],[1,4,7,9,10,12,14],[1,5,7,8,10,11,14],[1,5,7,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,12,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,8,9,10],[2,5,8,9,10,11,12],[3,4,5,7,9,11,13],[3,4,6,8,10,11,13],[3,4,7,8,9,11,14],[3,5,6,8,11,12,14],[3,5,6,9,10,12,13],[4,5,6,7,10,13,14]]; G[2859]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2860: autom. group order 2, simple, residual B[2860]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,12,13,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,8,11,14],[1,4,6,8,9,12,13],[1,4,7,9,10,11,13],[1,5,7,8,10,12,14],[1,5,7,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,11,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,8,9,10],[2,5,8,9,10,11,12],[3,4,5,7,9,12,13],[3,4,6,8,10,12,14],[3,4,7,8,9,11,14],[3,5,6,8,11,12,13],[3,5,6,9,10,11,13],[4,5,6,7,10,13,14]]; G[2860]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2861: autom. group order 2, simple, residual B[2861]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,12,13,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,8,12,14],[1,4,6,8,9,11,13],[1,4,7,9,10,11,14],[1,5,7,8,11,12,14],[1,5,7,9,10,12,13],[2,3,6,7,9,12,14],[2,3,7,8,11,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,8,9,10],[2,5,8,9,10,11,12],[3,4,5,7,9,11,13],[3,4,6,8,10,12,13],[3,4,7,8,9,12,14],[3,5,6,8,10,11,14],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[2861]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2862: autom. group order 2, simple, residual B[2862]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,12,13,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,8,12,14],[1,4,6,8,9,11,13],[1,4,7,9,10,12,13],[1,5,7,8,11,12,14],[1,5,7,9,10,11,14],[2,3,6,7,9,12,14],[2,3,7,8,11,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,8,9,10],[2,5,8,9,10,11,12],[3,4,5,7,9,11,13],[3,4,6,8,10,11,14],[3,4,7,8,9,12,14],[3,5,6,8,10,12,13],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[2862]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2863: autom. group order 2, simple, residual B[2863]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,13,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,8,12,14],[1,4,6,8,9,12,13],[1,4,7,8,10,11,14],[1,5,7,9,10,12,14],[1,5,7,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,12,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,8,9,10],[2,5,8,9,10,11,12],[3,4,5,7,9,11,13],[3,4,6,9,10,12,13],[3,4,7,8,9,11,14],[3,5,6,8,10,11,13],[3,5,6,8,11,12,14],[4,5,6,7,10,13,14]]; G[2863]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2864: autom. group order 2, simple, residual B[2864]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,12,13,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,8,11,14],[1,4,6,8,9,12,13],[1,4,7,8,10,12,14],[1,5,7,9,10,11,13],[1,5,7,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,11,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,8,9,10],[2,5,8,9,10,11,12],[3,4,5,7,9,12,13],[3,4,6,9,10,11,13],[3,4,7,8,9,11,14],[3,5,6,8,10,12,14],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[2864]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2865: autom. group order 2, simple, residual B[2865]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,8,9,14],[1,3,8,9,11,12,13],[1,4,5,6,12,13,14],[1,4,6,8,10,12,13],[1,4,7,9,10,12,14],[1,5,7,8,10,11,13],[1,5,7,9,11,12,14],[2,3,6,7,9,12,13],[2,3,7,8,10,12,14],[2,4,5,8,9,11,12],[2,4,6,9,11,13,14],[2,4,7,8,12,13,14],[2,5,6,7,10,11,12],[2,5,8,9,10,13,14],[3,4,5,7,11,13,14],[3,4,6,8,10,11,14],[3,4,7,9,10,11,13],[3,5,6,8,11,12,14],[3,5,6,9,10,12,13],[4,5,6,7,8,9,10]]; G[2865]:=Group([(1,3)(6,7)(8,9)(11,12)]); # Design 2866: autom. group order 2, simple, residual B[2866]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,8,9,14],[1,3,8,9,11,12,13],[1,4,5,6,12,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,12,13],[1,5,7,8,10,11,13],[1,5,7,9,11,12,14],[2,3,6,7,9,12,13],[2,3,7,8,10,12,14],[2,4,5,8,9,11,12],[2,4,6,9,11,13,14],[2,4,7,8,12,13,14],[2,5,6,7,10,11,12],[2,5,8,9,10,13,14],[3,4,5,7,11,13,14],[3,4,6,8,10,11,13],[3,4,7,9,10,11,14],[3,5,6,8,11,12,14],[3,5,6,9,10,12,13],[4,5,6,7,8,9,10]]; G[2866]:=Group([(1,3)(6,7)(8,9)(11,12)]); # Design 2867: autom. group order 2, simple, residual B[2867]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,8,9,14],[1,3,8,9,11,12,13],[1,4,5,6,11,13,14],[1,4,6,8,10,12,13],[1,4,7,9,10,11,14],[1,5,7,8,11,12,14],[1,5,7,9,10,12,13],[2,3,6,7,9,12,13],[2,3,7,8,10,11,14],[2,4,5,8,9,11,12],[2,4,6,9,11,13,14],[2,4,7,8,12,13,14],[2,5,6,7,10,11,12],[2,5,8,9,10,13,14],[3,4,5,7,12,13,14],[3,4,6,8,10,12,14],[3,4,7,9,10,11,13],[3,5,6,8,10,11,13],[3,5,6,9,11,12,14],[4,5,6,7,8,9,10]]; G[2867]:=Group([(1,3)(6,7)(8,9)(11,12)]); # Design 2868: autom. group order 2, simple, residual B[2868]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,8,9,14],[1,3,8,9,11,12,13],[1,4,5,6,11,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,11,13],[1,5,7,8,11,12,14],[1,5,7,9,10,12,13],[2,3,6,7,9,12,13],[2,3,7,8,10,11,14],[2,4,5,8,9,11,12],[2,4,6,9,11,13,14],[2,4,7,8,12,13,14],[2,5,6,7,10,11,12],[2,5,8,9,10,13,14],[3,4,5,7,12,13,14],[3,4,6,8,10,12,13],[3,4,7,9,10,11,14],[3,5,6,8,10,11,13],[3,5,6,9,11,12,14],[4,5,6,7,8,9,10]]; G[2868]:=Group([(1,3)(6,7)(8,9)(11,12)]); # Design 2869: autom. group order 2, simple, residual B[2869]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,8,9,14],[1,3,8,9,11,12,13],[1,4,5,6,11,13,14],[1,4,6,8,10,12,13],[1,4,7,9,10,12,14],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,6,7,9,12,13],[2,3,7,8,10,11,14],[2,4,5,8,9,11,12],[2,4,6,9,11,13,14],[2,4,7,8,12,13,14],[2,5,6,7,10,11,12],[2,5,8,9,10,13,14],[3,4,5,7,12,13,14],[3,4,6,8,10,11,14],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[3,5,6,9,11,12,14],[4,5,6,7,8,9,10]]; G[2869]:=Group([(1,3)(6,7)(8,9)(11,12)]); # Design 2870: autom. group order 2, simple, residual B[2870]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,12,13,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,9,11,14],[1,4,6,9,10,12,13],[1,4,7,8,9,11,13],[1,5,7,8,10,12,14],[1,5,7,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,9,11,13,14],[2,4,5,11,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,10,12,13],[2,5,6,7,8,9,10],[2,5,8,9,10,11,12],[3,4,5,7,8,12,13],[3,4,6,8,9,12,14],[3,4,7,8,10,11,14],[3,5,6,8,11,12,13],[3,5,6,9,10,11,13],[4,5,6,7,10,13,14]]; G[2870]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2871: autom. group order 2, simple, residual B[2871]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,12,13,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,9,12,13],[1,4,6,9,10,11,14],[1,4,7,8,9,11,13],[1,5,7,8,10,12,14],[1,5,7,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,9,11,13,14],[2,4,5,11,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,10,12,13],[2,5,6,7,8,9,10],[2,5,8,9,10,11,12],[3,4,5,7,8,11,14],[3,4,6,8,9,12,14],[3,4,7,8,10,12,13],[3,5,6,8,11,12,13],[3,5,6,9,10,11,13],[4,5,6,7,10,13,14]]; G[2871]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2872: autom. group order 2, simple, residual B[2872]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,12,13,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,9,11,13],[1,4,6,9,10,12,14],[1,4,7,8,9,12,13],[1,5,7,8,11,12,14],[1,5,7,9,10,11,14],[2,3,6,7,9,12,14],[2,3,7,9,11,13,14],[2,4,5,11,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,10,12,13],[2,5,6,7,8,9,10],[2,5,8,9,10,11,12],[3,4,5,7,8,12,14],[3,4,6,8,9,11,14],[3,4,7,8,10,11,13],[3,5,6,8,10,12,13],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[2872]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2873: autom. group order 2, simple, residual B[2873]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,12,13,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,9,12,14],[1,4,6,9,10,11,13],[1,4,7,8,9,12,13],[1,5,7,8,11,12,14],[1,5,7,9,10,11,14],[2,3,6,7,9,12,14],[2,3,7,9,11,13,14],[2,4,5,11,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,10,12,13],[2,5,6,7,8,9,10],[2,5,8,9,10,11,12],[3,4,5,7,8,11,13],[3,4,6,8,9,11,14],[3,4,7,8,10,12,14],[3,5,6,8,10,12,13],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[2873]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2874: autom. group order 2, simple, residual B[2874]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,11,13,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,9,12,13],[1,4,6,8,9,12,14],[1,4,7,9,10,11,14],[1,5,7,8,10,12,14],[1,5,7,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,9,12,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,8,9,10],[2,5,8,9,10,11,12],[3,4,5,7,8,11,14],[3,4,6,8,10,12,13],[3,4,7,8,9,11,13],[3,5,6,8,11,12,14],[3,5,6,9,10,11,13],[4,5,6,7,10,13,14]]; G[2874]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2875: autom. group order 2, simple, residual B[2875]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,12,13,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,9,11,13],[1,4,6,8,9,12,14],[1,4,7,9,10,12,13],[1,5,7,8,10,11,14],[1,5,7,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,9,11,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,8,9,10],[2,5,8,9,10,11,12],[3,4,5,7,8,12,14],[3,4,6,8,10,11,14],[3,4,7,8,9,11,13],[3,5,6,8,11,12,13],[3,5,6,9,10,12,13],[4,5,6,7,10,13,14]]; G[2875]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2876: autom. group order 2, simple, residual B[2876]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,12,13,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,9,12,13],[1,4,6,8,9,11,14],[1,4,7,9,10,11,13],[1,5,7,8,11,12,14],[1,5,7,9,10,12,14],[2,3,6,7,9,12,14],[2,3,7,9,11,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,8,9,10],[2,5,8,9,10,11,12],[3,4,5,7,8,11,14],[3,4,6,8,10,12,14],[3,4,7,8,9,12,13],[3,5,6,8,10,11,13],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[2876]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2877: autom. group order 2, simple, residual B[2877]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,12,13,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,9,12,13],[1,4,6,8,9,11,14],[1,4,7,9,10,12,14],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,6,7,9,12,14],[2,3,7,9,11,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,8,9,10],[2,5,8,9,10,11,12],[3,4,5,7,8,11,14],[3,4,6,8,10,11,13],[3,4,7,8,9,12,13],[3,5,6,8,10,12,14],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[2877]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2878: autom. group order 2, simple, residual B[2878]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,9,11,14],[1,4,6,8,10,12,13],[1,4,7,9,12,13,14],[1,5,7,8,10,11,14],[1,5,7,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,12,14],[2,5,6,7,10,13,14],[2,5,8,9,10,11,12],[3,4,5,7,8,12,13],[3,4,6,8,11,13,14],[3,4,7,9,10,11,14],[3,5,6,8,11,12,14],[3,5,6,9,10,12,13],[4,5,6,7,8,9,10]]; G[2878]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2879: autom. group order 2, simple, residual B[2879]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,9,12,13],[1,4,6,8,10,11,14],[1,4,7,9,11,13,14],[1,5,7,8,10,12,13],[1,5,7,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,12,14],[2,5,6,7,10,13,14],[2,5,8,9,10,11,12],[3,4,5,7,8,11,14],[3,4,6,8,12,13,14],[3,4,7,9,10,12,13],[3,5,6,8,11,12,13],[3,5,6,9,10,11,14],[4,5,6,7,8,9,10]]; G[2879]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2880: autom. group order 2, simple, residual B[2880]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,11,14],[1,4,6,8,10,12,13],[1,4,7,9,12,13,14],[1,5,7,8,10,11,14],[1,5,7,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,12,14],[2,5,6,7,10,11,12],[2,5,8,9,10,13,14],[3,4,5,7,8,12,13],[3,4,6,8,11,13,14],[3,4,7,9,10,11,14],[3,5,6,8,11,12,14],[3,5,6,9,10,12,13],[4,5,6,7,8,9,10]]; G[2880]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2881: autom. group order 2, simple, residual B[2881]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,12,13],[1,4,6,8,10,11,14],[1,4,7,9,11,13,14],[1,5,7,8,10,12,13],[1,5,7,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,12,14],[2,5,6,7,10,11,12],[2,5,8,9,10,13,14],[3,4,5,7,8,11,14],[3,4,6,8,12,13,14],[3,4,7,9,10,12,13],[3,5,6,8,11,12,13],[3,5,6,9,10,11,14],[4,5,6,7,8,9,10]]; G[2881]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2882: autom. group order 2, simple, residual B[2882]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,9,12,14],[1,4,6,8,10,12,13],[1,4,7,9,11,13,14],[1,5,7,8,11,12,14],[1,5,7,9,10,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,12,14],[2,5,6,7,10,13,14],[2,5,8,9,10,11,12],[3,4,5,7,8,11,13],[3,4,6,8,12,13,14],[3,4,7,9,10,11,14],[3,5,6,8,10,11,14],[3,5,6,9,11,12,13],[4,5,6,7,8,9,10]]; G[2882]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2883: autom. group order 2, simple, residual B[2883]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,9,12,13],[1,4,6,8,10,12,14],[1,4,7,9,12,13,14],[1,5,7,8,11,12,13],[1,5,7,9,10,11,14],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,12,14],[2,5,6,7,10,13,14],[2,5,8,9,10,11,12],[3,4,5,7,8,11,14],[3,4,6,8,11,13,14],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[3,5,6,9,11,12,14],[4,5,6,7,8,9,10]]; G[2883]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2884: autom. group order 2, simple, residual B[2884]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,12,14],[1,4,6,8,10,12,13],[1,4,7,9,11,13,14],[1,5,7,8,11,12,14],[1,5,7,9,10,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,12,14],[2,5,6,7,10,11,12],[2,5,8,9,10,13,14],[3,4,5,7,8,11,13],[3,4,6,8,12,13,14],[3,4,7,9,10,11,14],[3,5,6,8,10,11,14],[3,5,6,9,11,12,13],[4,5,6,7,8,9,10]]; G[2884]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2885: autom. group order 2, simple, residual B[2885]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,12,13],[1,4,6,8,10,12,14],[1,4,7,9,12,13,14],[1,5,7,8,11,12,13],[1,5,7,9,10,11,14],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,12,14],[2,5,6,7,10,11,12],[2,5,8,9,10,13,14],[3,4,5,7,8,11,14],[3,4,6,8,11,13,14],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[3,5,6,9,11,12,14],[4,5,6,7,8,9,10]]; G[2885]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2886: autom. group order 2, simple, residual B[2886]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,9,11,13],[1,4,6,8,12,13,14],[1,4,7,9,10,12,13],[1,5,7,8,10,11,14],[1,5,7,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,10,13,14],[2,5,8,9,10,11,12],[3,4,5,7,8,12,14],[3,4,6,8,10,11,14],[3,4,7,9,11,13,14],[3,5,6,8,11,12,13],[3,5,6,9,10,12,13],[4,5,6,7,8,9,10]]; G[2886]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2887: autom. group order 2, simple, residual B[2887]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,11,13],[1,4,6,8,12,13,14],[1,4,7,9,10,12,13],[1,5,7,8,10,11,14],[1,5,7,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,10,11,12],[2,5,8,9,10,13,14],[3,4,5,7,8,12,14],[3,4,6,8,10,11,14],[3,4,7,9,11,13,14],[3,5,6,8,11,12,13],[3,5,6,9,10,12,13],[4,5,6,7,8,9,10]]; G[2887]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2888: autom. group order 2, simple, residual B[2888]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,9,12,13],[1,4,6,8,12,13,14],[1,4,7,9,10,11,13],[1,5,7,8,11,12,14],[1,5,7,9,10,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,10,13,14],[2,5,8,9,10,11,12],[3,4,5,7,8,11,14],[3,4,6,8,10,12,14],[3,4,7,9,11,13,14],[3,5,6,8,10,11,13],[3,5,6,9,11,12,13],[4,5,6,7,8,9,10]]; G[2888]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2889: autom. group order 2, simple, residual B[2889]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,9,12,13],[1,4,6,8,12,13,14],[1,4,7,9,10,12,14],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,10,13,14],[2,5,8,9,10,11,12],[3,4,5,7,8,11,14],[3,4,6,8,10,11,13],[3,4,7,9,11,13,14],[3,5,6,8,10,12,14],[3,5,6,9,11,12,13],[4,5,6,7,8,9,10]]; G[2889]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2890: autom. group order 2, simple, residual B[2890]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,12,13],[1,4,6,8,12,13,14],[1,4,7,9,10,11,13],[1,5,7,8,11,12,14],[1,5,7,9,10,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,10,11,12],[2,5,8,9,10,13,14],[3,4,5,7,8,11,14],[3,4,6,8,10,12,14],[3,4,7,9,11,13,14],[3,5,6,8,10,11,13],[3,5,6,9,11,12,13],[4,5,6,7,8,9,10]]; G[2890]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2891: autom. group order 2, simple, residual B[2891]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,12,13],[1,4,6,8,12,13,14],[1,4,7,9,10,12,14],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,10,11,12],[2,5,8,9,10,13,14],[3,4,5,7,8,11,14],[3,4,6,8,10,11,13],[3,4,7,9,11,13,14],[3,5,6,8,10,12,14],[3,5,6,9,11,12,13],[4,5,6,7,8,9,10]]; G[2891]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2892: autom. group order 2, simple, residual B[2892]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,11,13,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,9,12,13],[1,4,6,8,9,12,14],[1,4,7,8,10,12,14],[1,5,7,9,10,11,14],[1,5,7,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,9,12,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,8,9,10],[2,5,8,9,10,11,12],[3,4,5,7,8,11,14],[3,4,6,9,10,11,13],[3,4,7,8,9,11,13],[3,5,6,8,10,12,13],[3,5,6,8,11,12,14],[4,5,6,7,10,13,14]]; G[2892]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2893: autom. group order 2, simple, residual B[2893]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,12,13,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,9,11,13],[1,4,6,8,9,12,14],[1,4,7,8,10,11,14],[1,5,7,9,10,12,13],[1,5,7,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,9,11,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,8,9,10],[2,5,8,9,10,11,12],[3,4,5,7,8,12,14],[3,4,6,9,10,12,13],[3,4,7,8,9,11,13],[3,5,6,8,10,11,14],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[2893]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2894: autom. group order 2, simple, residual B[2894]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,9,11,14],[1,4,6,8,10,12,14],[1,4,7,8,11,13,14],[1,5,7,9,10,12,13],[1,5,7,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,12,14],[2,5,6,7,10,13,14],[2,5,8,9,10,11,12],[3,4,5,7,8,12,13],[3,4,6,9,12,13,14],[3,4,7,9,10,11,13],[3,5,6,8,10,11,14],[3,5,6,8,11,12,13],[4,5,6,7,8,9,10]]; G[2894]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2895: autom. group order 2, simple, residual B[2895]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,9,12,14],[1,4,6,8,10,11,14],[1,4,7,8,12,13,14],[1,5,7,9,10,11,14],[1,5,7,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,11,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,12,14],[2,5,6,7,10,13,14],[2,5,8,9,10,11,12],[3,4,5,7,8,11,13],[3,4,6,9,11,13,14],[3,4,7,9,10,12,13],[3,5,6,8,10,12,13],[3,5,6,8,11,12,14],[4,5,6,7,8,9,10]]; G[2895]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2896: autom. group order 2, simple, residual B[2896]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,11,14],[1,4,6,8,10,12,14],[1,4,7,8,11,13,14],[1,5,7,9,10,12,13],[1,5,7,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,12,14],[2,5,6,7,10,11,12],[2,5,8,9,10,13,14],[3,4,5,7,8,12,13],[3,4,6,9,12,13,14],[3,4,7,9,10,11,13],[3,5,6,8,10,11,14],[3,5,6,8,11,12,13],[4,5,6,7,8,9,10]]; G[2896]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2897: autom. group order 2, simple, residual B[2897]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,12,14],[1,4,6,8,10,11,14],[1,4,7,8,12,13,14],[1,5,7,9,10,11,14],[1,5,7,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,11,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,12,14],[2,5,6,7,10,11,12],[2,5,8,9,10,13,14],[3,4,5,7,8,11,13],[3,4,6,9,11,13,14],[3,4,7,9,10,12,13],[3,5,6,8,10,12,13],[3,5,6,8,11,12,14],[4,5,6,7,8,9,10]]; G[2897]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2898: autom. group order 2, simple, residual B[2898]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,9,11,13],[1,4,6,8,12,13,14],[1,4,7,8,10,11,14],[1,5,7,9,10,12,13],[1,5,7,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,10,13,14],[2,5,8,9,10,11,12],[3,4,5,7,8,12,14],[3,4,6,9,10,12,13],[3,4,7,9,11,13,14],[3,5,6,8,10,11,14],[3,5,6,8,11,12,13],[4,5,6,7,8,9,10]]; G[2898]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2899: autom. group order 2, simple, residual B[2899]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,9,12,13],[1,4,6,8,11,13,14],[1,4,7,8,10,12,14],[1,5,7,9,10,11,14],[1,5,7,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,10,13,14],[2,5,8,9,10,11,12],[3,4,5,7,8,11,14],[3,4,6,9,10,11,13],[3,4,7,9,12,13,14],[3,5,6,8,10,12,13],[3,5,6,8,11,12,14],[4,5,6,7,8,9,10]]; G[2899]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2900: autom. group order 2, simple, residual B[2900]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,11,13],[1,4,6,8,12,13,14],[1,4,7,8,10,11,14],[1,5,7,9,10,12,13],[1,5,7,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,10,11,12],[2,5,8,9,10,13,14],[3,4,5,7,8,12,14],[3,4,6,9,10,12,13],[3,4,7,9,11,13,14],[3,5,6,8,10,11,14],[3,5,6,8,11,12,13],[4,5,6,7,8,9,10]]; G[2900]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2901: autom. group order 2, simple, residual B[2901]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,12,13],[1,4,6,8,11,13,14],[1,4,7,8,10,12,14],[1,5,7,9,10,11,14],[1,5,7,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,10,11,12],[2,5,8,9,10,13,14],[3,4,5,7,8,11,14],[3,4,6,9,10,11,13],[3,4,7,9,12,13,14],[3,5,6,8,10,12,13],[3,5,6,8,11,12,14],[4,5,6,7,8,9,10]]; G[2901]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2902: autom. group order 2, simple, residual B[2902]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,8,11,14],[1,4,6,9,10,12,14],[1,4,7,8,12,13,14],[1,5,7,9,10,11,14],[1,5,7,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,11,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,12,14],[2,5,6,7,10,13,14],[2,5,8,9,10,11,12],[3,4,5,7,9,12,13],[3,4,6,9,11,13,14],[3,4,7,8,10,11,13],[3,5,6,8,10,12,13],[3,5,6,8,11,12,14],[4,5,6,7,8,9,10]]; G[2902]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2903: autom. group order 2, simple, residual B[2903]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,8,12,14],[1,4,6,9,10,11,14],[1,4,7,8,11,13,14],[1,5,7,9,10,12,13],[1,5,7,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,12,14],[2,5,6,7,10,13,14],[2,5,8,9,10,11,12],[3,4,5,7,9,11,13],[3,4,6,9,12,13,14],[3,4,7,8,10,12,13],[3,5,6,8,10,11,14],[3,5,6,8,11,12,13],[4,5,6,7,8,9,10]]; G[2903]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2904: autom. group order 2, simple, residual B[2904]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,8,11,14],[1,4,6,9,10,12,14],[1,4,7,8,12,13,14],[1,5,7,9,10,11,14],[1,5,7,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,11,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,12,14],[2,5,6,7,10,11,12],[2,5,8,9,10,13,14],[3,4,5,7,9,12,13],[3,4,6,9,11,13,14],[3,4,7,8,10,11,13],[3,5,6,8,10,12,13],[3,5,6,8,11,12,14],[4,5,6,7,8,9,10]]; G[2904]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2905: autom. group order 2, simple, residual B[2905]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,8,12,14],[1,4,6,9,10,11,14],[1,4,7,8,11,13,14],[1,5,7,9,10,12,13],[1,5,7,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,12,14],[2,5,6,7,10,11,12],[2,5,8,9,10,13,14],[3,4,5,7,9,11,13],[3,4,6,9,12,13,14],[3,4,7,8,10,12,13],[3,5,6,8,10,11,14],[3,5,6,8,11,12,13],[4,5,6,7,8,9,10]]; G[2905]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 2906: autom. group order 2, simple, residual B[2906]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,9,11,13,14],[1,3,6,8,9,12,13],[1,3,7,9,10,11,12],[1,4,5,6,7,12,14],[1,4,6,8,10,11,14],[1,4,7,8,11,12,13],[1,5,7,9,12,13,14],[1,5,8,9,10,11,14],[2,3,6,7,9,11,14],[2,3,7,8,11,12,14],[2,4,5,9,11,12,13],[2,4,6,8,9,12,14],[2,4,7,8,9,10,13],[2,5,6,10,11,12,13],[2,5,7,8,10,12,14],[3,4,5,8,11,13,14],[3,4,6,10,12,13,14],[3,4,7,9,10,13,14],[3,5,6,7,8,11,13],[3,5,6,8,9,10,12],[4,5,6,7,9,10,11]]; G[2906]:=Group([(1,13)(2,14)(5,10)(6,9)(8,12)]); # Design 2907: autom. group order 2, simple, residual B[2907]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,13,14],[1,2,6,9,11,13,14],[1,3,6,8,9,10,12],[1,3,7,8,11,12,13],[1,4,5,6,7,12,14],[1,4,6,9,11,12,13],[1,4,7,9,10,11,14],[1,5,7,8,10,11,13],[1,5,8,9,10,12,14],[2,3,6,7,9,10,11],[2,3,7,8,11,12,14],[2,4,5,8,9,11,13],[2,4,6,8,10,12,13],[2,4,7,8,9,12,14],[2,5,6,10,11,12,14],[2,5,7,9,10,12,13],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,4,7,9,10,13,14],[3,5,6,7,9,12,13],[3,5,6,8,9,11,14],[4,5,6,7,8,10,11]]; G[2907]:=Group([(1,13)(2,14)(5,10)(7,8)]); # Design 2908: autom. group order 2, simple B[2908]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,9,11,13,14],[1,3,6,8,9,12,13],[1,3,7,8,11,12,13],[1,4,5,6,7,12,14],[1,4,6,8,10,11,14],[1,4,7,9,10,11,12],[1,5,7,9,12,13,14],[1,5,8,9,10,11,14],[2,3,6,7,9,11,14],[2,3,7,8,11,12,14],[2,4,5,9,11,12,13],[2,4,6,8,9,12,14],[2,4,7,8,9,10,13],[2,5,6,10,11,12,13],[2,5,7,8,10,12,14],[3,4,5,8,11,13,14],[3,4,6,10,12,13,14],[3,4,7,9,10,13,14],[3,5,6,7,9,10,11],[3,5,6,8,9,10,12],[4,5,6,7,8,11,13]]; G[2908]:=Group([(1,13)(2,14)(5,10)(6,9)(8,12)]); # Design 2909: autom. group order 2, simple B[2909]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,9,10,11,13],[1,3,7,9,12,13,14],[1,4,5,6,7,12,14],[1,4,6,9,10,11,14],[1,4,7,8,10,11,12],[1,5,7,8,9,10,14],[1,5,8,11,12,13,14],[2,3,6,7,8,11,14],[2,3,7,9,11,12,14],[2,4,5,9,11,13,14],[2,4,6,10,12,13,14],[2,4,7,8,10,13,14],[2,5,6,8,9,10,12],[2,5,7,9,10,11,12],[3,4,5,8,11,12,13],[3,4,6,8,9,12,14],[3,4,7,8,9,10,13],[3,5,6,7,10,12,13],[3,5,6,8,10,11,14],[4,5,6,7,9,11,13]]; G[2909]:=Group([(1,13)(3,14)(5,10)(6,8)(9,12)]); # Design 2910: autom. group order 2, simple, residual B[2910]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,8,10,12,14],[1,3,7,9,10,11,13],[1,4,5,6,7,11,14],[1,4,6,9,11,12,13],[1,4,7,9,10,12,14],[1,5,7,8,10,12,13],[1,5,8,9,11,13,14],[2,3,6,7,9,12,13],[2,3,7,8,9,11,14],[2,4,5,11,12,13,14],[2,4,6,8,10,13,14],[2,4,7,9,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,11,12],[3,4,5,8,9,12,13],[3,4,6,8,10,11,13],[3,4,7,8,11,12,14],[3,5,6,7,12,13,14],[3,5,6,9,10,11,14],[4,5,6,7,8,9,10]]; G[2910]:=Group([(1,13)(3,14)(5,10)(7,8)]); # Design 2911: autom. group order 2, simple B[2911]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,8,11,13,14],[1,3,7,9,12,13,14],[1,4,5,6,7,12,14],[1,4,6,9,10,11,14],[1,4,7,8,10,11,12],[1,5,7,9,10,12,13],[1,5,8,9,10,11,14],[2,3,6,7,9,10,11],[2,3,7,9,11,12,14],[2,4,5,9,11,13,14],[2,4,6,10,12,13,14],[2,4,7,8,10,13,14],[2,5,6,8,9,10,12],[2,5,7,8,11,12,14],[3,4,5,8,11,12,13],[3,4,6,8,9,12,14],[3,4,7,8,9,10,13],[3,5,6,7,8,10,14],[3,5,6,10,11,12,13],[4,5,6,7,9,11,13]]; G[2911]:=Group([(1,13)(3,14)(5,10)(6,8)(9,12)]); # Design 2912: autom. group order 2, simple B[2912]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,8,11,13,14],[1,3,7,9,12,13,14],[1,4,5,6,7,12,14],[1,4,6,9,10,11,14],[1,4,7,8,10,11,12],[1,5,7,8,9,10,14],[1,5,9,10,11,12,13],[2,3,6,7,9,10,11],[2,3,7,9,11,12,14],[2,4,5,9,11,13,14],[2,4,6,10,12,13,14],[2,4,7,8,10,13,14],[2,5,6,8,9,10,12],[2,5,7,8,11,12,14],[3,4,5,8,11,12,13],[3,4,6,8,9,12,14],[3,4,7,8,9,10,13],[3,5,6,7,10,12,13],[3,5,6,8,10,11,14],[4,5,6,7,9,11,13]]; G[2912]:=Group([(1,13)(3,14)(5,10)(6,8)(9,12)]); # Design 2913: autom. group order 2, simple, residual B[2913]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,10,11,13],[1,2,6,8,12,13,14],[1,3,6,8,9,11,13],[1,3,7,8,9,10,12],[1,4,5,6,7,12,14],[1,4,6,9,10,11,14],[1,4,7,9,11,12,13],[1,5,7,8,11,13,14],[1,5,8,9,10,12,14],[2,3,6,8,11,12,14],[2,3,7,9,11,12,14],[2,4,5,8,9,11,13],[2,4,6,7,8,9,14],[2,4,7,8,10,12,13],[2,5,6,9,10,12,13],[2,5,7,9,10,11,14],[3,4,5,11,12,13,14],[3,4,6,9,10,13,14],[3,4,7,8,10,13,14],[3,5,6,7,8,10,11],[3,5,6,7,9,12,13],[4,5,6,8,10,11,12]]; G[2913]:=Group([(1,13)(2,14)(5,10)(6,8)]); # Design 2914: autom. group order 2, simple, residual B[2914]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,13,14],[1,3,6,8,10,12,14],[1,3,7,8,11,12,13],[1,4,5,6,7,12,14],[1,4,6,9,10,11,14],[1,4,8,9,10,12,13],[1,5,7,8,9,11,14],[1,5,7,9,10,12,13],[2,3,6,7,9,10,13],[2,3,7,8,9,12,14],[2,4,5,9,11,12,13],[2,4,6,8,12,13,14],[2,4,7,8,9,10,14],[2,5,6,8,10,11,12],[2,5,7,10,11,12,14],[3,4,5,8,11,13,14],[3,4,6,7,9,11,12],[3,4,7,10,11,13,14],[3,5,6,8,9,10,11],[3,5,6,9,12,13,14],[4,5,6,7,8,10,13]]; G[2914]:=Group([(1,11)(3,12)(4,10)(7,8)(9,14)]); # Design 2915: autom. group order 2, simple B[2915]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,8,10,12,14],[1,3,7,9,10,11,13],[1,4,5,6,7,12,14],[1,4,6,9,10,11,14],[1,4,8,11,12,13,14],[1,5,7,8,9,11,14],[1,5,7,9,10,12,13],[2,3,6,7,11,13,14],[2,3,7,8,9,12,14],[2,4,5,9,11,12,13],[2,4,6,9,10,13,14],[2,4,7,8,9,10,14],[2,5,6,8,10,11,12],[2,5,7,10,11,12,14],[3,4,5,8,11,13,14],[3,4,6,7,9,11,12],[3,4,7,8,10,12,13],[3,5,6,8,9,10,11],[3,5,6,9,12,13,14],[4,5,6,7,8,10,13]]; G[2915]:=Group([(1,11)(3,12)(4,10)(7,8)(9,14)]); # Design 2916: autom. group order 2, simple B[2916]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,13,14],[1,3,6,8,10,12,14],[1,3,7,8,11,12,13],[1,4,5,6,7,12,14],[1,4,6,9,10,11,14],[1,4,8,9,10,12,13],[1,5,7,8,9,11,14],[1,5,7,9,10,12,13],[2,3,6,9,12,13,14],[2,3,7,8,9,12,14],[2,4,5,9,11,12,13],[2,4,6,7,8,10,13],[2,4,7,8,9,10,14],[2,5,6,8,10,11,12],[2,5,7,10,11,12,14],[3,4,5,8,11,13,14],[3,4,6,7,9,11,12],[3,4,7,10,11,13,14],[3,5,6,7,9,10,13],[3,5,6,8,9,10,11],[4,5,6,8,12,13,14]]; G[2916]:=Group([(1,11)(3,12)(4,10)(7,8)(9,14)]); # Design 2917: autom. group order 2, simple, residual B[2917]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,10,14],[1,3,6,9,11,12,13],[1,3,7,9,10,11,14],[1,4,5,6,7,12,14],[1,4,6,8,10,12,13],[1,4,8,9,11,12,14],[1,5,7,8,11,13,14],[1,5,7,9,10,12,13],[2,3,6,9,12,13,14],[2,3,7,8,12,13,14],[2,4,5,11,12,13,14],[2,4,6,7,9,11,14],[2,4,7,8,9,10,13],[2,5,6,8,10,11,12],[2,5,7,9,10,11,12],[3,4,5,8,9,11,13],[3,4,6,7,10,11,13],[3,4,7,8,10,12,14],[3,5,6,7,8,9,12],[3,5,6,8,10,11,14],[4,5,6,9,10,13,14]]; G[2917]:=Group([(1,11)(3,12)(4,10)(7,8)]); # Design 2918: autom. group order 2, simple B[2918]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,10,13,14],[1,3,6,9,11,12,14],[1,3,7,8,11,12,13],[1,4,5,6,7,12,14],[1,4,6,9,10,11,14],[1,4,8,9,10,12,13],[1,5,7,8,9,11,14],[1,5,7,9,10,12,13],[2,3,6,9,12,13,14],[2,3,7,8,9,12,14],[2,4,5,9,11,12,13],[2,4,6,7,9,11,13],[2,4,7,8,9,10,14],[2,5,6,8,10,11,12],[2,5,7,10,11,12,14],[3,4,5,8,11,13,14],[3,4,6,7,8,10,12],[3,4,7,10,11,13,14],[3,5,6,7,9,10,13],[3,5,6,8,9,10,11],[4,5,6,8,12,13,14]]; G[2918]:=Group([(1,11)(3,12)(4,10)(7,8)(9,14)]); # Design 2919: autom. group order 2, simple B[2919]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,10,13,14],[1,3,6,9,11,12,14],[1,3,7,8,11,12,13],[1,4,5,6,7,12,14],[1,4,6,8,9,10,12],[1,4,9,10,11,13,14],[1,5,7,8,9,11,14],[1,5,7,9,10,12,13],[2,3,6,9,12,13,14],[2,3,7,8,9,12,14],[2,4,5,9,11,12,13],[2,4,6,7,9,11,13],[2,4,7,8,9,10,14],[2,5,6,8,10,11,12],[2,5,7,10,11,12,14],[3,4,5,8,11,13,14],[3,4,6,7,10,11,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,13],[3,5,6,8,9,10,11],[4,5,6,8,12,13,14]]; G[2919]:=Group([(1,11)(3,12)(4,10)(7,8)(9,14)]); # Design 2920: autom. group order 2, simple, residual B[2920]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,11],[1,2,6,9,12,13,14],[1,3,6,8,11,13,14],[1,3,7,9,11,12,13],[1,4,5,6,11,12,14],[1,4,6,7,8,9,12],[1,4,7,8,10,13,14],[1,5,7,9,10,11,14],[1,5,8,9,10,12,13],[2,3,6,7,9,10,13],[2,3,7,8,11,12,14],[2,4,5,8,9,11,13],[2,4,6,9,11,13,14],[2,4,7,9,10,12,14],[2,5,6,8,10,12,14],[2,5,7,8,11,12,13],[3,4,5,7,12,13,14],[3,4,6,8,10,12,13],[3,4,8,9,10,11,14],[3,5,6,7,8,9,14],[3,5,6,9,10,11,12],[4,5,6,7,10,11,13]]; G[2920]:=Group([(1,3)(4,5)(6,7)(8,9)(11,13)(12,14)]); # Design 2921: autom. group order 2, simple B[2921]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,9,10,11,13],[1,3,7,9,12,13,14],[1,4,5,6,11,12,14],[1,4,6,7,9,10,14],[1,4,7,8,10,11,12],[1,5,7,8,9,10,14],[1,5,8,11,12,13,14],[2,3,6,7,8,11,14],[2,3,7,9,11,12,14],[2,4,5,9,11,13,14],[2,4,6,10,12,13,14],[2,4,7,8,10,13,14],[2,5,6,8,9,10,12],[2,5,7,9,10,11,12],[3,4,5,7,8,12,13],[3,4,6,8,9,12,14],[3,4,8,9,10,11,13],[3,5,6,7,10,12,13],[3,5,6,8,10,11,14],[4,5,6,7,9,11,13]]; G[2921]:=Group([(1,13)(3,14)(5,10)(6,8)(9,12)]); # Design 2922: autom. group order 2, simple, residual B[2922]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,9,10,11,12],[1,3,7,8,10,13,14],[1,4,5,6,8,11,14],[1,4,6,7,10,12,13],[1,4,7,9,11,13,14],[1,5,7,9,11,12,14],[1,5,8,9,10,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,9,10,13,14],[2,4,7,8,10,12,14],[2,5,6,9,10,11,13],[2,5,7,8,10,11,12],[3,4,5,7,9,12,13],[3,4,6,8,11,12,13],[3,4,8,9,10,11,14],[3,5,6,7,10,11,14],[3,5,6,8,12,13,14],[4,5,6,7,8,9,10]]; G[2922]:=Group([(4,5)(6,8)(7,9)(11,14)(12,13)]); # Design 2923: autom. group order 2, simple, residual B[2923]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,9,10,13,14],[1,3,7,8,10,11,12],[1,4,5,6,8,11,14],[1,4,6,7,10,12,13],[1,4,7,9,11,12,14],[1,5,7,9,11,13,14],[1,5,8,9,10,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,12,14],[3,4,5,7,9,12,13],[3,4,6,8,12,13,14],[3,4,8,9,10,11,14],[3,5,6,7,10,11,14],[3,5,6,8,11,12,13],[4,5,6,7,8,9,10]]; G[2923]:=Group([(4,5)(6,8)(7,9)(11,14)(12,13)]); # Design 2924: autom. group order 2, simple B[2924]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,8,11,13,14],[1,3,7,9,12,13,14],[1,4,5,6,11,12,14],[1,4,6,7,9,10,14],[1,4,7,8,10,11,12],[1,5,7,9,10,12,13],[1,5,8,9,10,11,14],[2,3,6,7,9,10,11],[2,3,7,9,11,12,14],[2,4,5,9,11,13,14],[2,4,6,10,12,13,14],[2,4,7,8,10,13,14],[2,5,6,8,9,10,12],[2,5,7,8,11,12,14],[3,4,5,7,8,12,13],[3,4,6,8,9,12,14],[3,4,8,9,10,11,13],[3,5,6,7,8,10,14],[3,5,6,10,11,12,13],[4,5,6,7,9,11,13]]; G[2924]:=Group([(1,13)(3,14)(5,10)(6,8)(9,12)]); # Design 2925: autom. group order 2, simple, residual B[2925]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,9,10,11,12],[1,3,7,8,10,13,14],[1,4,5,6,8,11,14],[1,4,6,7,10,12,13],[1,4,7,9,11,12,14],[1,5,7,9,11,13,14],[1,5,8,9,10,12,13],[2,3,6,7,9,11,13],[2,3,7,8,9,12,14],[2,4,5,11,12,13,14],[2,4,6,9,10,13,14],[2,4,8,9,10,11,13],[2,5,6,7,10,12,14],[2,5,7,8,10,11,12],[3,4,5,7,9,12,13],[3,4,6,8,12,13,14],[3,4,7,8,10,11,14],[3,5,6,8,11,12,13],[3,5,6,9,10,11,14],[4,5,6,7,8,9,10]]; G[2925]:=Group([(4,5)(6,8)(7,9)(11,14)(12,13)]); # Design 2926: autom. group order 2, simple, residual B[2926]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,9,10,11,12],[1,3,7,8,10,13,14],[1,4,5,6,8,12,13],[1,4,6,7,10,11,14],[1,4,7,9,12,13,14],[1,5,7,9,11,12,13],[1,5,8,9,10,11,14],[2,3,6,7,9,11,13],[2,3,7,8,9,12,14],[2,4,5,11,12,13,14],[2,4,6,9,10,13,14],[2,4,8,9,10,11,13],[2,5,6,7,10,12,14],[2,5,7,8,10,11,12],[3,4,5,7,9,11,14],[3,4,6,8,11,12,14],[3,4,7,8,10,12,13],[3,5,6,8,11,13,14],[3,5,6,9,10,12,13],[4,5,6,7,8,9,10]]; G[2926]:=Group([(4,5)(6,8)(7,9)(11,14)(12,13)]); # Design 2927: autom. group order 2, simple, residual B[2927]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,8,9,11,14],[1,3,6,8,9,12,14],[1,3,7,9,10,13,14],[1,4,5,6,11,12,13],[1,4,6,7,9,12,13],[1,4,7,8,11,13,14],[1,5,7,10,11,12,14],[1,5,8,9,10,11,12],[2,3,6,7,11,12,14],[2,3,7,9,11,12,13],[2,4,5,9,12,13,14],[2,4,6,9,10,11,14],[2,4,8,10,12,13,14],[2,5,6,7,8,10,12],[2,5,7,8,9,11,13],[3,4,5,7,8,11,14],[3,4,6,8,10,11,13],[3,4,7,8,9,10,12],[3,5,6,8,12,13,14],[3,5,6,9,10,11,13],[4,5,6,7,9,10,14]]; G[2927]:=Group([(2,11)(3,12)(4,10)(6,14)]); # Design 2928: autom. group order 2, simple, residual B[2928]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,9,11,13,14],[1,3,6,9,12,13,14],[1,3,7,8,9,10,14],[1,4,5,6,9,11,12],[1,4,6,7,8,11,13],[1,4,7,8,9,12,14],[1,5,7,10,11,12,13],[1,5,8,10,11,12,14],[2,3,6,7,11,12,14],[2,3,8,9,11,12,13],[2,4,5,7,12,13,14],[2,4,6,8,10,12,14],[2,4,7,9,10,11,14],[2,5,6,8,9,10,11],[2,5,7,8,9,12,13],[3,4,5,8,11,13,14],[3,4,6,8,10,12,13],[3,4,7,9,10,11,13],[3,5,6,7,8,11,14],[3,5,6,7,9,10,12],[4,5,6,9,10,13,14]]; G[2928]:=Group([(2,3)(6,9)(7,8)(11,12)(13,14)]); # Design 2929: autom. group order 2, simple, residual B[2929]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,9,11,13,14],[1,3,6,9,12,13,14],[1,3,7,8,9,10,14],[1,4,5,6,9,11,12],[1,4,6,7,8,12,13],[1,4,7,8,9,11,14],[1,5,7,10,11,12,13],[1,5,8,10,11,12,14],[2,3,6,7,11,12,14],[2,3,8,9,11,12,13],[2,4,5,7,11,13,14],[2,4,6,8,10,12,14],[2,4,7,9,10,12,14],[2,5,6,8,9,10,11],[2,5,7,8,9,12,13],[3,4,5,8,12,13,14],[3,4,6,8,10,11,13],[3,4,7,9,10,11,13],[3,5,6,7,8,11,14],[3,5,6,7,9,10,12],[4,5,6,9,10,13,14]]; G[2929]:=Group([(2,3)(6,9)(7,8)(11,12)(13,14)]); # Design 2930: autom. group order 2, simple, residual B[2930]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,9,11,13,14],[1,3,6,9,12,13,14],[1,3,7,8,9,10,14],[1,4,5,6,9,11,12],[1,4,6,7,8,12,13],[1,4,7,8,9,11,14],[1,5,7,10,11,12,14],[1,5,8,10,11,12,13],[2,3,6,7,11,12,14],[2,3,8,9,11,12,13],[2,4,5,7,11,13,14],[2,4,6,8,10,12,14],[2,4,7,9,10,12,13],[2,5,6,8,9,10,11],[2,5,7,8,9,12,14],[3,4,5,8,12,13,14],[3,4,6,8,10,11,14],[3,4,7,9,10,11,13],[3,5,6,7,8,11,13],[3,5,6,7,9,10,12],[4,5,6,9,10,13,14]]; G[2930]:=Group([(2,3)(6,9)(7,8)(11,12)(13,14)]); # Design 2931: autom. group order 2, simple B[2931]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,12,13,14],[1,3,6,9,11,13,14],[1,3,7,8,9,12,14],[1,4,5,6,9,11,12],[1,4,6,7,8,10,13],[1,4,7,8,9,10,14],[1,5,7,10,11,12,14],[1,5,8,10,11,12,13],[2,3,6,7,10,11,14],[2,3,8,9,10,12,13],[2,4,5,7,12,13,14],[2,4,6,8,10,12,14],[2,4,7,9,11,12,13],[2,5,6,8,9,10,11],[2,5,7,8,9,11,14],[3,4,5,8,11,13,14],[3,4,6,8,11,12,14],[3,4,7,9,10,11,13],[3,5,6,7,8,12,13],[3,5,6,7,9,10,12],[4,5,6,9,10,13,14]]; G[2931]:=Group([(2,3)(6,9)(7,8)(11,12)(13,14)]); # Design 2932: autom. group order 2, simple B[2932]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,12,13,14],[1,3,6,9,11,13,14],[1,3,7,8,9,12,14],[1,4,5,6,9,11,12],[1,4,6,7,8,10,13],[1,4,7,8,9,10,14],[1,5,7,10,11,12,14],[1,5,8,10,11,12,13],[2,3,6,7,10,12,14],[2,3,8,9,10,11,13],[2,4,5,7,11,13,14],[2,4,6,8,11,12,14],[2,4,7,9,10,12,13],[2,5,6,8,9,10,12],[2,5,7,8,9,11,14],[3,4,5,8,12,13,14],[3,4,6,8,10,11,14],[3,4,7,9,11,12,13],[3,5,6,7,8,12,13],[3,5,6,7,9,10,11],[4,5,6,9,10,13,14]]; G[2932]:=Group([(2,3)(6,9)(7,8)(11,12)(13,14)]); # Design 2933: autom. group order 2, simple, residual B[2933]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,9,11,13,14],[1,3,6,9,12,13,14],[1,3,7,8,9,10,14],[1,4,5,6,9,11,12],[1,4,6,7,8,11,13],[1,4,7,8,9,12,14],[1,5,7,10,11,12,13],[1,5,8,10,11,12,14],[2,3,6,7,11,12,14],[2,3,8,9,11,12,13],[2,4,5,8,11,13,14],[2,4,6,8,10,12,14],[2,4,7,9,10,11,14],[2,5,6,7,9,10,12],[2,5,7,8,9,12,13],[3,4,5,7,12,13,14],[3,4,6,8,10,12,13],[3,4,7,9,10,11,13],[3,5,6,7,8,11,14],[3,5,6,8,9,10,11],[4,5,6,9,10,13,14]]; G[2933]:=Group([(2,3)(6,9)(7,8)(11,12)(13,14)]); # Design 2934: autom. group order 2, simple, residual B[2934]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,9,11,13,14],[1,3,6,9,12,13,14],[1,3,7,8,9,10,14],[1,4,5,6,9,11,12],[1,4,6,7,8,12,13],[1,4,7,8,9,11,14],[1,5,7,10,11,12,13],[1,5,8,10,11,12,14],[2,3,6,7,11,12,14],[2,3,8,9,11,12,13],[2,4,5,8,11,13,14],[2,4,6,8,10,12,14],[2,4,7,9,10,12,14],[2,5,6,7,9,10,11],[2,5,7,8,9,12,13],[3,4,5,7,12,13,14],[3,4,6,8,10,11,13],[3,4,7,9,10,11,13],[3,5,6,7,8,11,14],[3,5,6,8,9,10,12],[4,5,6,9,10,13,14]]; G[2934]:=Group([(2,3)(6,9)(7,8)(11,12)(13,14)]); # Design 2935: autom. group order 2, simple B[2935]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,9,11,13,14],[1,3,6,9,12,13,14],[1,3,7,8,9,12,13],[1,4,5,6,9,11,12],[1,4,6,7,8,10,14],[1,4,7,8,9,11,14],[1,5,7,10,11,12,14],[1,5,8,10,11,12,13],[2,3,6,7,11,12,14],[2,3,8,9,10,11,14],[2,4,5,8,12,13,14],[2,4,6,8,11,12,13],[2,4,7,9,10,11,13],[2,5,6,7,9,10,12],[2,5,7,8,9,12,14],[3,4,5,7,11,13,14],[3,4,6,8,10,12,14],[3,4,7,9,10,12,13],[3,5,6,7,8,11,13],[3,5,6,8,9,10,11],[4,5,6,9,10,13,14]]; G[2935]:=Group([(2,11)(3,12)(4,10)(6,14)(9,13)]); # Design 2936: autom. group order 2, simple B[2936]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,12,13,14],[1,3,6,9,11,13,14],[1,3,7,8,9,12,14],[1,4,5,6,9,11,12],[1,4,6,7,8,10,13],[1,4,7,8,9,10,14],[1,5,7,10,11,12,14],[1,5,8,10,11,12,13],[2,3,6,7,10,11,14],[2,3,8,9,10,12,13],[2,4,5,8,11,13,14],[2,4,6,8,10,12,14],[2,4,7,9,11,12,13],[2,5,6,7,9,10,12],[2,5,7,8,9,11,14],[3,4,5,7,12,13,14],[3,4,6,8,11,12,14],[3,4,7,9,10,11,13],[3,5,6,7,8,12,13],[3,5,6,8,9,10,11],[4,5,6,9,10,13,14]]; G[2936]:=Group([(2,3)(6,9)(7,8)(11,12)(13,14)]); # Design 2937: autom. group order 2, simple B[2937]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,12,13,14],[1,3,6,9,11,13,14],[1,3,7,8,9,12,14],[1,4,5,6,9,11,12],[1,4,6,7,8,10,13],[1,4,7,8,9,10,14],[1,5,7,10,11,12,14],[1,5,8,10,11,12,13],[2,3,6,7,10,12,14],[2,3,8,9,10,11,13],[2,4,5,8,12,13,14],[2,4,6,8,11,12,14],[2,4,7,9,10,12,13],[2,5,6,7,9,10,11],[2,5,7,8,9,11,14],[3,4,5,7,11,13,14],[3,4,6,8,10,11,14],[3,4,7,9,11,12,13],[3,5,6,7,8,12,13],[3,5,6,8,9,10,12],[4,5,6,9,10,13,14]]; G[2937]:=Group([(2,3)(6,9)(7,8)(11,12)(13,14)]); # Design 2938: autom. group order 2, simple, residual B[2938]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,10,11,13],[1,2,6,8,12,13,14],[1,3,6,8,9,11,13],[1,3,7,8,9,10,12],[1,4,5,6,9,11,14],[1,4,6,7,10,12,14],[1,4,7,9,11,12,13],[1,5,7,8,11,13,14],[1,5,8,9,10,12,14],[2,3,6,8,11,12,14],[2,3,7,9,11,12,14],[2,4,5,7,8,12,13],[2,4,6,7,8,9,14],[2,4,8,9,10,11,13],[2,5,6,9,10,12,13],[2,5,7,9,10,11,14],[3,4,5,11,12,13,14],[3,4,6,9,10,13,14],[3,4,7,8,10,13,14],[3,5,6,7,8,10,11],[3,5,6,7,9,12,13],[4,5,6,8,10,11,12]]; G[2938]:=Group([(1,13)(2,14)(5,10)(6,8)]); # Design 2939: autom. group order 2, simple B[2939]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,9,11,13,14],[1,3,6,9,12,13,14],[1,3,7,8,9,10,14],[1,4,5,6,9,11,12],[1,4,6,7,8,12,13],[1,4,7,8,9,11,14],[1,5,7,10,11,12,14],[1,5,8,10,11,12,13],[2,3,6,8,11,12,14],[2,3,7,9,11,12,13],[2,4,5,7,12,13,14],[2,4,6,7,10,11,14],[2,4,8,9,10,11,13],[2,5,6,8,9,10,12],[2,5,7,8,9,12,14],[3,4,5,8,11,13,14],[3,4,6,8,10,12,14],[3,4,7,9,10,12,13],[3,5,6,7,8,11,13],[3,5,6,7,9,10,11],[4,5,6,9,10,13,14]]; G[2939]:=Group([(2,11)(3,12)(4,10)(6,14)(9,13)]); # Design 2940: autom. group order 2, simple, residual B[2940]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,9,11,13,14],[1,3,6,9,12,13,14],[1,3,7,8,9,10,14],[1,4,5,6,9,11,12],[1,4,6,7,8,12,13],[1,4,7,8,9,11,14],[1,5,7,10,11,12,14],[1,5,8,10,11,12,13],[2,3,6,8,11,12,14],[2,3,7,9,11,12,13],[2,4,5,7,12,13,14],[2,4,6,7,10,11,14],[2,4,8,9,10,12,14],[2,5,6,8,9,10,12],[2,5,7,8,9,11,13],[3,4,5,8,11,13,14],[3,4,6,8,10,11,13],[3,4,7,9,10,12,13],[3,5,6,7,8,12,14],[3,5,6,7,9,10,11],[4,5,6,9,10,13,14]]; G[2940]:=Group([(2,11)(3,12)(4,10)(6,14)(9,13)]); # Design 2941: autom. group order 2, simple B[2941]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,9,11,13,14],[1,3,6,9,12,13,14],[1,3,7,8,9,12,13],[1,4,5,6,9,11,12],[1,4,6,7,8,10,14],[1,4,7,8,9,11,14],[1,5,7,10,11,12,14],[1,5,8,10,11,12,13],[2,3,6,8,11,12,14],[2,3,7,9,10,11,14],[2,4,5,7,12,13,14],[2,4,6,7,11,12,13],[2,4,8,9,10,11,13],[2,5,6,8,9,10,12],[2,5,7,8,9,12,14],[3,4,5,8,11,13,14],[3,4,6,8,10,12,14],[3,4,7,9,10,12,13],[3,5,6,7,8,11,13],[3,5,6,7,9,10,11],[4,5,6,9,10,13,14]]; G[2941]:=Group([(2,11)(3,12)(4,10)(6,14)(9,13)]); # Design 2942: autom. group order 2, simple B[2942]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,9,11,13,14],[1,3,6,9,12,13,14],[1,3,7,8,9,12,13],[1,4,5,6,9,11,12],[1,4,6,7,8,10,14],[1,4,7,8,9,11,14],[1,5,7,10,11,12,14],[1,5,8,10,11,12,13],[2,3,6,8,11,12,14],[2,3,7,9,10,11,14],[2,4,5,7,12,13,14],[2,4,6,7,11,12,13],[2,4,8,9,10,12,14],[2,5,6,8,9,10,12],[2,5,7,8,9,11,13],[3,4,5,8,11,13,14],[3,4,6,8,10,11,13],[3,4,7,9,10,12,13],[3,5,6,7,8,12,14],[3,5,6,7,9,10,11],[4,5,6,9,10,13,14]]; G[2942]:=Group([(2,11)(3,12)(4,10)(6,14)(9,13)]); # Design 2943: autom. group order 2, simple, residual B[2943]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,8,9,11,14],[1,3,6,8,9,12,14],[1,3,7,9,10,13,14],[1,4,5,6,11,12,13],[1,4,6,7,9,12,13],[1,4,7,8,11,13,14],[1,5,7,10,11,12,14],[1,5,8,9,10,11,12],[2,3,6,11,12,13,14],[2,3,7,9,11,12,13],[2,4,5,7,9,12,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,14],[2,5,6,8,10,12,13],[2,5,7,8,9,11,13],[3,4,5,8,11,13,14],[3,4,6,7,8,10,11],[3,4,8,9,10,12,13],[3,5,6,7,8,12,14],[3,5,6,7,9,10,11],[4,5,6,9,10,13,14]]; G[2943]:=Group([(2,11)(3,12)(4,10)(6,14)]); # Design 2944: autom. group order 2, simple B[2944]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,10,11,12,13],[1,3,7,9,11,13,14],[1,4,5,6,9,11,14],[1,4,6,7,10,12,14],[1,4,7,8,9,10,12],[1,5,7,8,12,13,14],[1,5,8,9,10,11,14],[2,3,6,8,9,12,14],[2,3,7,9,11,12,14],[2,4,5,7,12,13,14],[2,4,6,9,10,13,14],[2,4,8,10,11,13,14],[2,5,6,7,8,10,11],[2,5,7,9,10,11,12],[3,4,5,8,11,12,13],[3,4,6,7,8,11,14],[3,4,7,8,9,10,13],[3,5,6,7,9,10,13],[3,5,6,8,10,12,14],[4,5,6,9,11,12,13]]; G[2944]:=Group([(1,13)(3,14)(5,10)(6,8)(7,11)]); # Design 2945: autom. group order 2, simple B[2945]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,10,11,12,13],[1,3,7,9,11,13,14],[1,4,5,6,11,12,14],[1,4,6,7,9,10,14],[1,4,7,8,9,10,12],[1,5,7,8,12,13,14],[1,5,8,9,10,11,14],[2,3,6,8,9,12,14],[2,3,7,9,11,12,14],[2,4,5,7,12,13,14],[2,4,6,9,10,13,14],[2,4,8,10,11,13,14],[2,5,6,7,8,10,11],[2,5,7,9,10,11,12],[3,4,5,8,9,11,13],[3,4,6,7,8,11,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,13],[3,5,6,8,10,12,14],[4,5,6,9,11,12,13]]; G[2945]:=Group([(1,13)(3,14)(5,10)(6,8)(7,11)]); # Design 2946: autom. group order 2, simple, residual B[2946]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,10,14],[1,3,6,9,12,13,14],[1,3,7,8,9,12,14],[1,4,5,6,11,12,14],[1,4,6,7,8,10,13],[1,4,7,9,11,13,14],[1,5,7,9,10,11,12],[1,5,8,10,11,12,13],[2,3,6,9,11,12,13],[2,3,7,10,11,13,14],[2,4,5,7,9,12,13],[2,4,6,8,11,12,14],[2,4,8,9,10,12,13],[2,5,6,7,10,12,14],[2,5,7,8,9,11,14],[3,4,5,8,11,13,14],[3,4,6,7,9,10,11],[3,4,7,8,10,12,14],[3,5,6,7,8,12,13],[3,5,6,8,9,10,11],[4,5,6,9,10,13,14]]; G[2946]:=Group([(2,11)(3,12)(4,10)(6,13)(7,8)]); # Design 2947: autom. group order 2, simple, residual B[2947]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,10,14],[1,3,6,9,12,13,14],[1,3,7,8,9,12,14],[1,4,5,6,11,12,14],[1,4,6,7,8,10,13],[1,4,7,9,11,13,14],[1,5,7,9,10,11,12],[1,5,8,10,11,12,13],[2,3,6,9,11,12,13],[2,3,7,10,11,13,14],[2,4,5,7,12,13,14],[2,4,6,8,11,12,14],[2,4,8,9,10,12,13],[2,5,6,7,9,10,12],[2,5,7,8,9,11,14],[3,4,5,8,9,11,13],[3,4,6,7,9,10,11],[3,4,7,8,10,12,14],[3,5,6,7,8,12,13],[3,5,6,8,10,11,14],[4,5,6,9,10,13,14]]; G[2947]:=Group([(2,11)(3,12)(4,10)(6,13)(7,8)]); # Design 2948: autom. group order 2, simple B[2948]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,8,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,9,11,14],[1,4,6,7,10,12,14],[1,4,7,8,9,10,12],[1,5,7,9,10,11,13],[1,5,8,10,11,12,14],[2,3,6,9,10,11,12],[2,3,7,9,11,12,14],[2,4,5,7,12,13,14],[2,4,6,9,10,13,14],[2,4,8,10,11,13,14],[2,5,6,7,8,10,11],[2,5,7,8,9,12,14],[3,4,5,8,11,12,13],[3,4,6,7,8,11,14],[3,4,7,8,9,10,13],[3,5,6,7,10,12,13],[3,5,6,8,9,10,14],[4,5,6,9,11,12,13]]; G[2948]:=Group([(1,13)(3,14)(5,10)(6,8)(7,11)]); # Design 2949: autom. group order 2, simple B[2949]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,8,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,11,12,14],[1,4,6,7,9,10,14],[1,4,7,8,9,10,12],[1,5,7,9,10,11,13],[1,5,8,10,11,12,14],[2,3,6,9,10,11,12],[2,3,7,9,11,12,14],[2,4,5,7,12,13,14],[2,4,6,9,10,13,14],[2,4,8,10,11,13,14],[2,5,6,7,8,10,11],[2,5,7,8,9,12,14],[3,4,5,8,9,11,13],[3,4,6,7,8,11,14],[3,4,7,8,10,12,13],[3,5,6,7,10,12,13],[3,5,6,8,9,10,14],[4,5,6,9,11,12,13]]; G[2949]:=Group([(1,13)(3,14)(5,10)(6,8)(7,11)]); # Design 2950: autom. group order 2, simple B[2950]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,8,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,11,12,14],[1,4,6,7,9,10,14],[1,4,7,8,9,10,12],[1,5,7,10,11,12,13],[1,5,8,9,10,11,14],[2,3,6,9,10,11,12],[2,3,7,9,11,12,14],[2,4,5,7,12,13,14],[2,4,6,9,10,13,14],[2,4,8,10,11,13,14],[2,5,6,7,8,10,11],[2,5,7,8,9,12,14],[3,4,5,8,9,11,13],[3,4,6,7,8,11,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,13],[3,5,6,8,10,12,14],[4,5,6,9,11,12,13]]; G[2950]:=Group([(1,13)(3,14)(5,10)(6,8)(7,11)]); # Design 2951: autom. group order 2, simple, residual B[2951]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,13,14],[1,3,6,9,11,12,14],[1,3,7,9,10,12,13],[1,4,5,6,8,12,14],[1,4,6,7,10,12,14],[1,4,7,8,10,11,13],[1,5,7,8,9,11,14],[1,5,8,9,10,12,13],[2,3,6,8,10,13,14],[2,3,7,8,9,12,14],[2,4,5,9,11,12,13],[2,4,6,7,9,12,13],[2,4,7,8,9,10,14],[2,5,6,8,10,11,12],[2,5,7,10,11,12,14],[3,4,5,7,11,13,14],[3,4,6,8,9,10,11],[3,4,8,11,12,13,14],[3,5,6,7,8,12,13],[3,5,6,7,9,10,11],[4,5,6,9,10,13,14]]; G[2951]:=Group([(1,11)(3,12)(4,10)(7,8)(9,14)]); # Design 2952: autom. group order 2, simple B[2952]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,13,14],[1,3,6,8,9,10,14],[1,3,7,8,9,12,14],[1,4,5,6,11,12,14],[1,4,6,7,8,10,13],[1,4,7,9,12,13,14],[1,5,7,9,10,11,12],[1,5,8,10,11,12,13],[2,3,6,9,11,12,13],[2,3,7,10,12,13,14],[2,4,5,8,9,12,13],[2,4,6,7,9,10,12],[2,4,7,8,10,11,14],[2,5,6,8,10,12,14],[2,5,7,8,9,11,14],[3,4,5,7,11,13,14],[3,4,6,8,11,12,14],[3,4,8,9,10,11,13],[3,5,6,7,8,12,13],[3,5,6,7,9,10,11],[4,5,6,9,10,13,14]]; G[2952]:=Group([(2,11)(3,12)(4,10)(6,13)(7,8)]); # Design 2953: autom. group order 2, simple B[2953]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,13,14],[1,3,6,8,9,10,14],[1,3,7,8,9,12,14],[1,4,5,6,11,12,14],[1,4,6,7,8,10,13],[1,4,7,9,12,13,14],[1,5,7,9,10,11,12],[1,5,8,10,11,12,13],[2,3,6,9,11,12,13],[2,3,7,8,11,12,14],[2,4,5,8,9,12,13],[2,4,6,7,9,10,12],[2,4,7,8,10,11,14],[2,5,6,8,10,12,14],[2,5,7,9,10,13,14],[3,4,5,7,11,13,14],[3,4,6,10,12,13,14],[3,4,8,9,10,11,13],[3,5,6,7,8,12,13],[3,5,6,7,9,10,11],[4,5,6,8,9,11,14]]; G[2953]:=Group([(2,11)(3,12)(4,10)(6,13)(7,8)]); # Design 2954: autom. group order 2, simple B[2954]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,9,11,13,14],[1,3,6,9,12,13,14],[1,3,7,8,9,10,14],[1,4,5,6,9,11,12],[1,4,6,7,8,12,13],[1,4,7,8,9,11,14],[1,5,7,10,11,12,14],[1,5,8,10,11,12,13],[2,3,6,8,11,12,14],[2,3,7,9,11,12,13],[2,4,5,8,12,13,14],[2,4,6,7,10,11,14],[2,4,8,9,10,11,13],[2,5,6,7,9,10,12],[2,5,7,8,9,12,14],[3,4,5,7,11,13,14],[3,4,6,8,10,12,14],[3,4,7,9,10,12,13],[3,5,6,7,8,11,13],[3,5,6,8,9,10,11],[4,5,6,9,10,13,14]]; G[2954]:=Group([(2,11)(3,12)(4,10)(6,14)(9,13)]); # Design 2955: autom. group order 2, simple, residual B[2955]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,9,11,13,14],[1,3,6,9,12,13,14],[1,3,7,8,9,10,14],[1,4,5,6,9,11,12],[1,4,6,7,8,12,13],[1,4,7,8,9,11,14],[1,5,7,10,11,12,14],[1,5,8,10,11,12,13],[2,3,6,8,11,12,14],[2,3,7,9,11,12,13],[2,4,5,8,12,13,14],[2,4,6,7,10,11,14],[2,4,8,9,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,11,13],[3,4,5,7,11,13,14],[3,4,6,8,10,11,13],[3,4,7,9,10,12,13],[3,5,6,7,8,12,14],[3,5,6,8,9,10,11],[4,5,6,9,10,13,14]]; G[2955]:=Group([(2,11)(3,12)(4,10)(6,14)(9,13)]); # Design 2956: autom. group order 2, simple B[2956]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,9,11,13,14],[1,3,6,9,12,13,14],[1,3,7,8,9,12,13],[1,4,5,6,9,11,12],[1,4,6,7,8,10,14],[1,4,7,8,9,11,14],[1,5,7,10,11,12,14],[1,5,8,10,11,12,13],[2,3,6,8,11,12,14],[2,3,7,9,10,11,14],[2,4,5,8,12,13,14],[2,4,6,7,11,12,13],[2,4,8,9,10,11,13],[2,5,6,7,9,10,12],[2,5,7,8,9,12,14],[3,4,5,7,11,13,14],[3,4,6,8,10,12,14],[3,4,7,9,10,12,13],[3,5,6,7,8,11,13],[3,5,6,8,9,10,11],[4,5,6,9,10,13,14]]; G[2956]:=Group([(2,11)(3,12)(4,10)(6,14)(9,13)]); # Design 2957: autom. group order 2, simple B[2957]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,9,11,13,14],[1,3,6,9,12,13,14],[1,3,7,8,9,12,13],[1,4,5,6,9,11,12],[1,4,6,7,8,10,14],[1,4,7,8,9,11,14],[1,5,7,10,11,12,14],[1,5,8,10,11,12,13],[2,3,6,8,11,12,14],[2,3,7,9,10,11,14],[2,4,5,8,12,13,14],[2,4,6,7,11,12,13],[2,4,8,9,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,11,13],[3,4,5,7,11,13,14],[3,4,6,8,10,11,13],[3,4,7,9,10,12,13],[3,5,6,7,8,12,14],[3,5,6,8,9,10,11],[4,5,6,9,10,13,14]]; G[2957]:=Group([(2,11)(3,12)(4,10)(6,14)(9,13)]); # Design 2958: autom. group order 2, simple, residual B[2958]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,14],[1,3,6,8,10,12,14],[1,3,7,8,11,13,14],[1,4,5,6,9,11,14],[1,4,6,7,9,12,13],[1,4,7,8,10,12,14],[1,5,7,9,10,12,13],[1,5,8,9,10,11,13],[2,3,6,8,9,12,13],[2,3,7,9,10,11,12],[2,4,5,8,12,13,14],[2,4,6,7,10,13,14],[2,4,9,10,11,13,14],[2,5,6,7,8,10,11],[2,5,7,8,9,12,14],[3,4,5,7,11,12,13],[3,4,6,8,9,10,13],[3,4,7,8,9,11,14],[3,5,6,7,9,10,14],[3,5,6,11,12,13,14],[4,5,6,8,10,11,12]]; G[2958]:=Group([(1,13)(3,14)(5,10)(8,11)]); # Design 2959: autom. group order 2, simple, residual B[2959]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,11],[1,2,6,8,9,12,13],[1,3,6,11,12,13,14],[1,3,7,8,11,13,14],[1,4,5,6,9,11,13],[1,4,6,7,9,12,14],[1,4,7,8,10,12,13],[1,5,7,9,10,12,14],[1,5,8,9,10,11,14],[2,3,6,8,9,12,14],[2,3,7,9,10,11,12],[2,4,5,11,12,13,14],[2,4,6,7,10,13,14],[2,4,8,9,10,13,14],[2,5,6,7,8,11,14],[2,5,7,9,11,12,13],[3,4,5,7,8,12,14],[3,4,6,9,10,11,14],[3,4,7,8,9,11,13],[3,5,6,7,9,10,13],[3,5,6,8,10,12,13],[4,5,6,8,10,11,12]]; G[2959]:=Group([(1,14)(3,13)(5,10)]); # Design 2960: autom. group order 2, simple, residual B[2960]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,8,9,11,14],[1,3,6,8,9,12,14],[1,3,7,9,10,13,14],[1,4,5,6,11,12,13],[1,4,6,7,9,12,13],[1,4,7,8,11,13,14],[1,5,7,10,11,12,14],[1,5,8,9,10,11,12],[2,3,6,11,12,13,14],[2,3,7,9,11,12,13],[2,4,5,8,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,11,13],[3,4,5,7,9,11,14],[3,4,6,7,8,10,11],[3,4,8,9,10,12,13],[3,5,6,7,8,12,14],[3,5,6,8,10,11,13],[4,5,6,9,10,13,14]]; G[2960]:=Group([(2,11)(3,12)(4,10)(6,14)]); # Design 2961: autom. group order 2, simple B[2961]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,10,11,12,13],[1,3,7,8,9,10,14],[1,4,5,6,9,11,14],[1,4,6,7,10,12,14],[1,4,8,9,11,12,14],[1,5,7,8,12,13,14],[1,5,7,9,10,11,13],[2,3,6,7,8,11,14],[2,3,7,9,11,12,14],[2,4,5,7,12,13,14],[2,4,6,9,10,13,14],[2,4,8,10,11,13,14],[2,5,6,8,9,10,12],[2,5,7,9,10,11,12],[3,4,5,8,11,12,13],[3,4,6,7,9,12,13],[3,4,7,8,9,10,13],[3,5,6,8,10,12,14],[3,5,6,9,11,13,14],[4,5,6,7,8,10,11]]; G[2961]:=Group([(1,13)(3,14)(5,10)(6,8)(7,11)]); # Design 2962: autom. group order 2, simple B[2962]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,10,11,12,13],[1,3,7,8,9,10,14],[1,4,5,6,11,12,14],[1,4,6,7,9,10,14],[1,4,8,9,11,12,14],[1,5,7,8,12,13,14],[1,5,7,9,10,11,13],[2,3,6,7,8,11,14],[2,3,7,9,11,12,14],[2,4,5,7,12,13,14],[2,4,6,9,10,13,14],[2,4,8,10,11,13,14],[2,5,6,8,9,10,12],[2,5,7,9,10,11,12],[3,4,5,8,9,11,13],[3,4,6,7,9,12,13],[3,4,7,8,10,12,13],[3,5,6,8,10,12,14],[3,5,6,9,11,13,14],[4,5,6,7,8,10,11]]; G[2962]:=Group([(1,13)(3,14)(5,10)(6,8)(7,11)]); # Design 2963: autom. group order 2, simple, residual B[2963]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,11,13,14],[1,2,6,8,12,13,14],[1,3,6,9,10,11,12],[1,3,7,8,9,11,13],[1,4,5,6,9,11,14],[1,4,6,8,9,12,13],[1,4,7,8,10,12,14],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[2,3,6,7,8,10,12],[2,3,7,8,9,11,14],[2,4,5,8,11,12,13],[2,4,6,7,9,10,13],[2,4,7,9,11,12,14],[2,5,6,8,9,10,14],[2,5,9,10,11,12,13],[3,4,5,7,12,13,14],[3,4,6,10,11,13,14],[3,4,8,9,10,13,14],[3,5,6,7,9,12,13],[3,5,6,8,11,12,14],[4,5,6,7,8,10,11]]; G[2963]:=Group([(1,13)(2,14)(5,10)(7,11)]); # Design 2964: autom. group order 2, simple, residual B[2964]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,9,10,13,14],[1,3,7,8,10,11,12],[1,4,5,6,8,11,14],[1,4,6,9,10,12,13],[1,4,7,9,11,13,14],[1,5,7,8,10,12,13],[1,5,7,9,11,12,14],[2,3,6,7,9,11,13],[2,3,7,8,9,12,14],[2,4,5,11,12,13,14],[2,4,6,7,10,12,14],[2,4,7,8,10,13,14],[2,5,6,9,10,11,12],[2,5,8,9,10,11,13],[3,4,5,7,9,12,13],[3,4,6,8,11,12,13],[3,4,8,9,10,11,14],[3,5,6,7,10,11,14],[3,5,6,8,12,13,14],[4,5,6,7,8,9,10]]; G[2964]:=Group([(4,5)(6,8)(7,9)(11,14)(12,13)]); # Design 2965: autom. group order 2, simple, residual B[2965]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,9,10,13,14],[1,3,7,8,10,11,12],[1,4,5,6,8,12,13],[1,4,6,9,10,11,14],[1,4,7,9,11,12,13],[1,5,7,8,10,11,14],[1,5,7,9,12,13,14],[2,3,6,7,9,11,13],[2,3,7,8,9,12,14],[2,4,5,11,12,13,14],[2,4,6,7,10,12,14],[2,4,7,8,10,13,14],[2,5,6,9,10,11,12],[2,5,8,9,10,11,13],[3,4,5,7,9,11,14],[3,4,6,8,11,13,14],[3,4,8,9,10,12,13],[3,5,6,7,10,12,13],[3,5,6,8,11,12,14],[4,5,6,7,8,9,10]]; G[2965]:=Group([(4,5)(6,8)(7,9)(11,14)(12,13)]); # Design 2966: autom. group order 2, simple, residual B[2966]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,10,13],[1,3,6,9,11,12,14],[1,3,8,9,12,13,14],[1,4,5,6,7,12,14],[1,4,6,10,11,12,13],[1,4,7,8,11,13,14],[1,5,7,8,9,10,12],[1,5,7,9,10,11,14],[2,3,6,7,9,11,14],[2,3,7,10,12,13,14],[2,4,5,9,11,12,13],[2,4,6,8,9,12,14],[2,4,7,8,10,12,14],[2,5,6,8,10,11,14],[2,5,7,9,11,12,13],[3,4,5,8,11,13,14],[3,4,6,7,9,10,13],[3,4,7,8,9,10,11],[3,5,6,7,8,12,13],[3,5,6,8,10,11,12],[4,5,6,9,10,13,14]]; G[2966]:=Group([(1,10)(2,13)(3,6)(5,9)(8,14)(11,12)]); # Design 2967: autom. group order 2, simple B[2967]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,9,11,12,14],[1,3,8,10,12,13,14],[1,4,5,6,7,12,14],[1,4,6,9,10,11,14],[1,4,7,8,10,11,13],[1,5,7,8,9,11,14],[1,5,7,9,10,12,13],[2,3,6,7,11,13,14],[2,3,7,8,9,12,14],[2,4,5,9,11,12,13],[2,4,6,9,10,13,14],[2,4,7,8,9,10,14],[2,5,6,8,10,11,12],[2,5,7,10,11,12,14],[3,4,5,8,11,13,14],[3,4,6,7,8,10,12],[3,4,7,9,11,12,13],[3,5,6,7,9,10,13],[3,5,6,8,9,10,11],[4,5,6,8,12,13,14]]; G[2967]:=Group([(1,11)(3,12)(4,10)(7,8)(9,14)]); # Design 2968: autom. group order 2, simple B[2968]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,8,10,12,14],[1,3,9,11,12,13,14],[1,4,5,6,7,12,14],[1,4,6,9,10,11,14],[1,4,7,8,10,11,13],[1,5,7,8,9,11,14],[1,5,7,9,10,12,13],[2,3,6,7,11,13,14],[2,3,7,8,9,12,14],[2,4,5,9,11,12,13],[2,4,6,9,10,13,14],[2,4,7,8,9,10,14],[2,5,6,8,10,11,12],[2,5,7,10,11,12,14],[3,4,5,8,11,13,14],[3,4,6,7,9,11,12],[3,4,7,8,10,12,13],[3,5,6,7,9,10,13],[3,5,6,8,9,10,11],[4,5,6,8,12,13,14]]; G[2968]:=Group([(1,11)(3,12)(4,10)(7,8)(9,14)]); # Design 2969: autom. group order 2, simple B[2969]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,11],[1,2,6,11,12,13,14],[1,3,6,8,9,10,12],[1,3,8,11,12,13,14],[1,4,5,6,8,13,14],[1,4,6,7,9,11,13],[1,4,7,8,9,12,14],[1,5,7,9,10,11,13],[1,5,7,9,10,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,7,11,12,14],[2,4,6,9,10,13,14],[2,4,7,8,10,12,13],[2,5,6,8,9,12,13],[2,5,8,9,10,11,14],[3,4,5,9,11,12,13],[3,4,6,9,10,11,14],[3,4,7,8,10,13,14],[3,5,6,7,8,11,14],[3,5,6,7,10,12,13],[4,5,6,8,10,11,12]]; G[2969]:=Group([(2,3)(6,8)(7,9)(11,12)(13,14)]); # Design 2970: autom. group order 2, simple B[2970]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,11],[1,2,6,11,12,13,14],[1,3,6,8,9,10,12],[1,3,8,11,12,13,14],[1,4,5,6,8,13,14],[1,4,6,7,9,11,13],[1,4,7,8,9,12,14],[1,5,7,9,10,11,14],[1,5,7,9,10,12,13],[2,3,6,7,9,12,13],[2,3,7,8,9,11,14],[2,4,5,7,11,12,14],[2,4,6,9,10,13,14],[2,4,7,8,10,12,13],[2,5,6,8,9,12,14],[2,5,8,9,10,11,13],[3,4,5,9,11,12,13],[3,4,6,9,10,11,14],[3,4,7,8,10,13,14],[3,5,6,7,8,11,13],[3,5,6,7,10,12,14],[4,5,6,8,10,11,12]]; G[2970]:=Group([(2,3)(6,8)(7,9)(11,12)(13,14)]); # Design 2971: autom. group order 2, simple, residual B[2971]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,11],[1,2,6,11,12,13,14],[1,3,6,8,9,10,12],[1,3,8,11,12,13,14],[1,4,5,6,8,13,14],[1,4,6,7,9,12,13],[1,4,7,8,9,11,14],[1,5,7,9,10,11,14],[1,5,7,9,10,12,13],[2,3,6,7,9,11,13],[2,3,7,8,9,12,14],[2,4,5,7,11,12,14],[2,4,6,9,10,13,14],[2,4,7,8,10,12,13],[2,5,6,8,9,12,14],[2,5,8,9,10,11,13],[3,4,5,9,11,12,13],[3,4,6,9,10,11,14],[3,4,7,8,10,13,14],[3,5,6,7,8,11,13],[3,5,6,7,10,12,14],[4,5,6,8,10,11,12]]; G[2971]:=Group([(2,3)(6,8)(7,9)(11,12)(13,14)]); # Design 2972: autom. group order 2, simple B[2972]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,11],[1,2,6,11,12,13,14],[1,3,6,8,9,10,12],[1,3,8,11,12,13,14],[1,4,5,6,8,13,14],[1,4,6,7,9,12,13],[1,4,7,8,9,11,14],[1,5,7,9,10,11,14],[1,5,7,9,10,12,13],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,7,11,12,13],[2,4,6,9,10,13,14],[2,4,7,8,10,12,14],[2,5,6,8,9,12,14],[2,5,8,9,10,11,13],[3,4,5,9,11,12,14],[3,4,6,9,10,11,13],[3,4,7,8,10,13,14],[3,5,6,7,8,11,13],[3,5,6,7,10,12,14],[4,5,6,8,10,11,12]]; G[2972]:=Group([(2,3)(6,8)(7,9)(11,12)(13,14)]); # Design 2973: autom. group order 2, simple B[2973]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,11],[1,2,6,11,12,13,14],[1,3,6,8,9,10,12],[1,3,8,11,12,13,14],[1,4,5,6,8,13,14],[1,4,6,7,9,12,13],[1,4,7,8,9,11,14],[1,5,7,9,10,11,13],[1,5,7,9,10,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,7,11,12,13],[2,4,6,9,10,13,14],[2,4,7,8,10,12,14],[2,5,6,8,9,11,14],[2,5,8,9,10,12,13],[3,4,5,9,11,12,14],[3,4,6,9,10,11,13],[3,4,7,8,10,13,14],[3,5,6,7,8,12,13],[3,5,6,7,10,11,14],[4,5,6,8,10,11,12]]; G[2973]:=Group([(2,3)(6,8)(7,9)(11,12)(13,14)]); # Design 2974: autom. group order 2, simple, residual B[2974]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,11],[1,2,6,11,12,13,14],[1,3,6,8,9,10,12],[1,3,8,11,12,13,14],[1,4,5,6,8,13,14],[1,4,6,7,9,12,13],[1,4,7,8,9,11,14],[1,5,7,9,10,11,14],[1,5,7,9,10,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,7,11,12,14],[2,4,6,9,10,13,14],[2,4,7,8,10,12,13],[2,5,6,8,9,11,13],[2,5,8,9,10,12,14],[3,4,5,9,11,12,13],[3,4,6,9,10,11,14],[3,4,7,8,10,13,14],[3,5,6,7,8,12,14],[3,5,6,7,10,11,13],[4,5,6,8,10,11,12]]; G[2974]:=Group([(2,3)(6,8)(7,9)(11,12)(13,14)]); # Design 2975: autom. group order 2, simple, residual B[2975]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,11,12,13,14],[1,3,6,8,9,10,14],[1,3,8,11,12,13,14],[1,4,5,6,8,11,12],[1,4,6,7,9,11,13],[1,4,7,8,9,12,14],[1,5,7,9,10,11,14],[1,5,7,9,10,12,13],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,7,12,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,11,14],[2,5,6,8,9,11,13],[2,5,8,9,10,11,12],[3,4,5,9,11,13,14],[3,4,6,9,10,12,13],[3,4,7,8,10,11,13],[3,5,6,7,8,12,14],[3,5,6,7,10,11,12],[4,5,6,8,10,13,14]]; G[2975]:=Group([(2,3)(6,8)(7,9)(11,12)(13,14)]); # Design 2976: autom. group order 2, simple, residual B[2976]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,11,12,13,14],[1,3,6,8,9,10,14],[1,3,8,11,12,13,14],[1,4,5,6,8,11,12],[1,4,6,7,9,11,14],[1,4,7,8,9,12,13],[1,5,7,9,10,11,14],[1,5,7,9,10,12,13],[2,3,6,7,9,11,13],[2,3,7,8,9,12,14],[2,4,5,7,12,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,11,14],[2,5,6,8,9,11,13],[2,5,8,9,10,11,12],[3,4,5,9,11,13,14],[3,4,6,9,10,12,13],[3,4,7,8,10,11,13],[3,5,6,7,8,12,14],[3,5,6,7,10,11,12],[4,5,6,8,10,13,14]]; G[2976]:=Group([(2,3)(6,8)(7,9)(11,12)(13,14)]); # Design 2977: autom. group order 2, simple, residual B[2977]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,11,12,13,14],[1,3,6,8,9,10,14],[1,3,8,11,12,13,14],[1,4,5,6,8,11,12],[1,4,6,7,9,11,14],[1,4,7,8,9,12,13],[1,5,7,9,10,11,13],[1,5,7,9,10,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,7,11,13,14],[2,4,6,9,10,12,13],[2,4,7,8,10,12,14],[2,5,6,8,9,11,14],[2,5,8,9,10,11,12],[3,4,5,9,12,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,14],[3,5,6,7,8,12,13],[3,5,6,7,10,11,12],[4,5,6,8,10,13,14]]; G[2977]:=Group([(2,3)(6,8)(7,9)(11,12)(13,14)]); # Design 2978: autom. group order 2, simple, residual B[2978]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,11,12,13,14],[1,3,6,8,9,10,14],[1,3,8,11,12,13,14],[1,4,5,6,8,11,12],[1,4,6,7,9,11,14],[1,4,7,8,9,12,13],[1,5,7,9,10,11,14],[1,5,7,9,10,12,13],[2,3,6,7,9,12,13],[2,3,7,8,9,11,14],[2,4,5,7,11,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,12,14],[2,5,6,8,9,11,13],[2,5,8,9,10,11,12],[3,4,5,9,12,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,13],[3,5,6,7,8,12,14],[3,5,6,7,10,11,12],[4,5,6,8,10,13,14]]; G[2978]:=Group([(2,3)(6,8)(7,9)(11,12)(13,14)]); # Design 2979: autom. group order 2, simple, residual B[2979]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,11,12,13,14],[1,3,6,8,9,10,14],[1,3,8,11,12,13,14],[1,4,5,6,8,11,12],[1,4,6,7,9,11,13],[1,4,7,8,9,12,14],[1,5,7,9,10,11,13],[1,5,7,9,10,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,7,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,11,14],[2,5,6,8,9,12,13],[2,5,8,9,10,11,12],[3,4,5,9,11,13,14],[3,4,6,9,10,12,13],[3,4,7,8,10,12,13],[3,5,6,7,8,11,14],[3,5,6,7,10,11,12],[4,5,6,8,10,13,14]]; G[2979]:=Group([(2,3)(6,8)(7,9)(11,12)(13,14)]); # Design 2980: autom. group order 2, simple, residual B[2980]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,11,12,13,14],[1,3,6,8,9,10,14],[1,3,8,11,12,13,14],[1,4,5,6,8,11,12],[1,4,6,7,9,11,14],[1,4,7,8,9,12,13],[1,5,7,9,10,11,14],[1,5,7,9,10,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,7,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,11,14],[2,5,6,8,9,12,14],[2,5,8,9,10,11,12],[3,4,5,9,11,13,14],[3,4,6,9,10,12,13],[3,4,7,8,10,12,14],[3,5,6,7,8,11,13],[3,5,6,7,10,11,12],[4,5,6,8,10,13,14]]; G[2980]:=Group([(2,3)(6,8)(7,9)(11,12)(13,14)]); # Design 2981: autom. group order 2, simple, residual B[2981]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,8,9,11,14],[1,3,6,9,10,12,14],[1,3,8,9,11,12,13],[1,4,5,6,11,13,14],[1,4,6,7,11,12,13],[1,4,7,8,10,12,14],[1,5,7,8,9,10,11],[1,5,7,9,12,13,14],[2,3,6,7,8,12,13],[2,3,7,9,11,13,14],[2,4,5,7,9,11,12],[2,4,6,8,9,12,14],[2,4,7,9,10,13,14],[2,5,6,10,11,12,14],[2,5,8,10,11,12,13],[3,4,5,8,12,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,14],[3,5,6,7,8,11,14],[3,5,6,7,9,10,12],[4,5,6,8,9,10,13]]; G[2981]:=Group([(1,12)(3,11)(4,10)(7,14)(9,13)]); # Design 2982: autom. group order 2, simple, residual B[2982]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,8,9,11,14],[1,3,6,9,11,12,13],[1,3,8,9,10,12,14],[1,4,5,6,11,13,14],[1,4,6,7,10,12,14],[1,4,7,8,11,12,13],[1,5,7,8,9,10,11],[1,5,7,9,12,13,14],[2,3,6,7,8,12,13],[2,3,7,9,11,13,14],[2,4,5,7,9,11,12],[2,4,6,8,9,12,14],[2,4,7,9,10,13,14],[2,5,6,10,11,12,14],[2,5,8,10,11,12,13],[3,4,5,8,12,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,14],[3,5,6,7,8,11,14],[3,5,6,7,9,10,12],[4,5,6,8,9,10,13]]; G[2982]:=Group([(1,12)(3,11)(4,10)(7,14)(9,13)]); # Design 2983: autom. group order 2, simple, residual B[2983]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,9,11,12,14],[1,3,8,9,10,12,13],[1,4,5,6,12,13,14],[1,4,6,7,10,12,14],[1,4,7,8,10,11,13],[1,5,7,8,9,10,12],[1,5,7,9,11,13,14],[2,3,6,7,8,10,14],[2,3,7,9,12,13,14],[2,4,5,7,9,11,12],[2,4,6,8,9,12,13],[2,4,7,9,10,13,14],[2,5,6,10,11,12,13],[2,5,8,10,11,12,14],[3,4,5,8,11,13,14],[3,4,6,9,10,11,13],[3,4,7,8,11,12,14],[3,5,6,7,8,12,13],[3,5,6,7,9,10,11],[4,5,6,8,9,10,14]]; G[2983]:=Group([(1,11)(3,12)(4,10)(7,13)(9,14)]); # Design 2984: autom. group order 2, simple B[2984]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,9,11,12,14],[1,3,8,9,10,12,13],[1,4,5,6,12,13,14],[1,4,6,7,10,12,14],[1,4,7,8,10,11,13],[1,5,7,8,9,10,12],[1,5,7,9,11,13,14],[2,3,6,7,8,12,13],[2,3,7,9,12,13,14],[2,4,5,7,9,11,12],[2,4,6,8,9,10,14],[2,4,7,9,10,13,14],[2,5,6,10,11,12,13],[2,5,8,10,11,12,14],[3,4,5,8,11,13,14],[3,4,6,9,10,11,13],[3,4,7,8,11,12,14],[3,5,6,7,8,10,14],[3,5,6,7,9,10,11],[4,5,6,8,9,12,13]]; G[2984]:=Group([(1,11)(3,12)(4,10)(7,13)(9,14)]); # Design 2985: autom. group order 2, simple B[2985]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,11],[1,2,6,11,12,13,14],[1,3,6,8,9,10,12],[1,3,8,11,12,13,14],[1,4,5,6,8,13,14],[1,4,6,7,9,11,13],[1,4,7,8,9,12,14],[1,5,7,9,10,11,13],[1,5,7,9,10,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,7,11,12,14],[2,4,6,9,10,13,14],[2,4,8,9,10,11,14],[2,5,6,8,9,12,13],[2,5,7,8,10,12,13],[3,4,5,9,11,12,13],[3,4,6,7,10,12,13],[3,4,7,8,10,13,14],[3,5,6,7,8,11,14],[3,5,6,9,10,11,14],[4,5,6,8,10,11,12]]; G[2985]:=Group([(2,3)(6,8)(7,9)(11,12)(13,14)]); # Design 2986: autom. group order 2, simple B[2986]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,11],[1,2,6,11,12,13,14],[1,3,6,8,9,10,12],[1,3,8,11,12,13,14],[1,4,5,6,8,13,14],[1,4,6,7,9,11,13],[1,4,7,8,9,12,14],[1,5,7,9,10,11,14],[1,5,7,9,10,12,13],[2,3,6,7,9,12,13],[2,3,7,8,9,11,14],[2,4,5,7,11,12,14],[2,4,6,9,10,13,14],[2,4,8,9,10,11,13],[2,5,6,8,9,12,14],[2,5,7,8,10,12,13],[3,4,5,9,11,12,13],[3,4,6,7,10,12,14],[3,4,7,8,10,13,14],[3,5,6,7,8,11,13],[3,5,6,9,10,11,14],[4,5,6,8,10,11,12]]; G[2986]:=Group([(2,3)(6,8)(7,9)(11,12)(13,14)]); # Design 2987: autom. group order 2, simple B[2987]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,11],[1,2,6,11,12,13,14],[1,3,6,8,9,10,12],[1,3,8,11,12,13,14],[1,4,5,6,8,13,14],[1,4,6,7,9,11,13],[1,4,7,8,9,12,14],[1,5,7,9,10,11,13],[1,5,7,9,10,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,7,11,12,14],[2,4,6,9,10,12,13],[2,4,8,9,10,13,14],[2,5,6,8,9,11,14],[2,5,7,8,10,12,13],[3,4,5,9,11,12,13],[3,4,6,7,10,13,14],[3,4,7,8,10,11,14],[3,5,6,7,8,12,13],[3,5,6,9,10,11,14],[4,5,6,8,10,11,12]]; G[2987]:=Group([(2,3)(6,8)(7,9)(11,12)(13,14)]); # Design 2988: autom. group order 2, simple B[2988]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,11],[1,2,6,11,12,13,14],[1,3,6,8,9,10,12],[1,3,8,11,12,13,14],[1,4,5,6,8,13,14],[1,4,6,7,9,11,13],[1,4,7,8,9,12,14],[1,5,7,9,10,11,14],[1,5,7,9,10,12,13],[2,3,6,7,9,12,13],[2,3,7,8,9,11,14],[2,4,5,7,11,12,14],[2,4,6,9,10,12,14],[2,4,8,9,10,13,14],[2,5,6,8,9,11,13],[2,5,7,8,10,12,13],[3,4,5,9,11,12,13],[3,4,6,7,10,13,14],[3,4,7,8,10,11,13],[3,5,6,7,8,12,14],[3,5,6,9,10,11,14],[4,5,6,8,10,11,12]]; G[2988]:=Group([(2,3)(6,8)(7,9)(11,12)(13,14)]); # Design 2989: autom. group order 2, simple, residual B[2989]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,11],[1,2,6,11,12,13,14],[1,3,6,8,9,10,12],[1,3,8,11,12,13,14],[1,4,5,6,8,13,14],[1,4,6,7,9,12,13],[1,4,7,8,9,11,14],[1,5,7,9,10,11,14],[1,5,7,9,10,12,13],[2,3,6,7,9,11,13],[2,3,7,8,9,12,14],[2,4,5,7,11,12,14],[2,4,6,9,10,13,14],[2,4,8,9,10,11,13],[2,5,6,8,9,12,14],[2,5,7,8,10,12,13],[3,4,5,9,11,12,13],[3,4,6,7,10,12,14],[3,4,7,8,10,13,14],[3,5,6,7,8,11,13],[3,5,6,9,10,11,14],[4,5,6,8,10,11,12]]; G[2989]:=Group([(2,3)(6,8)(7,9)(11,12)(13,14)]); # Design 2990: autom. group order 2, simple B[2990]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,11],[1,2,6,11,12,13,14],[1,3,6,8,9,10,12],[1,3,8,11,12,13,14],[1,4,5,6,8,13,14],[1,4,6,7,9,12,13],[1,4,7,8,9,11,14],[1,5,7,9,10,11,14],[1,5,7,9,10,12,13],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,7,11,12,13],[2,4,6,9,10,13,14],[2,4,8,9,10,11,13],[2,5,6,8,9,12,14],[2,5,7,8,10,12,14],[3,4,5,9,11,12,14],[3,4,6,7,10,12,14],[3,4,7,8,10,13,14],[3,5,6,7,8,11,13],[3,5,6,9,10,11,13],[4,5,6,8,10,11,12]]; G[2990]:=Group([(2,3)(6,8)(7,9)(11,12)(13,14)]); # Design 2991: autom. group order 2, simple, residual B[2991]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,11],[1,2,6,11,12,13,14],[1,3,6,8,9,10,12],[1,3,8,11,12,13,14],[1,4,5,6,8,13,14],[1,4,6,7,9,12,13],[1,4,7,8,9,11,14],[1,5,7,9,10,11,14],[1,5,7,9,10,12,13],[2,3,6,7,9,11,13],[2,3,7,8,9,12,14],[2,4,5,7,11,12,14],[2,4,6,9,10,12,14],[2,4,8,9,10,13,14],[2,5,6,8,9,11,13],[2,5,7,8,10,12,13],[3,4,5,9,11,12,13],[3,4,6,7,10,13,14],[3,4,7,8,10,11,13],[3,5,6,7,8,12,14],[3,5,6,9,10,11,14],[4,5,6,8,10,11,12]]; G[2991]:=Group([(2,3)(6,8)(7,9)(11,12)(13,14)]); # Design 2992: autom. group order 2, simple B[2992]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,11],[1,2,6,11,12,13,14],[1,3,6,8,9,10,12],[1,3,8,11,12,13,14],[1,4,5,6,8,13,14],[1,4,6,7,9,12,13],[1,4,7,8,9,11,14],[1,5,7,9,10,11,14],[1,5,7,9,10,12,13],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,7,11,12,13],[2,4,6,9,10,12,14],[2,4,8,9,10,13,14],[2,5,6,8,9,11,13],[2,5,7,8,10,12,14],[3,4,5,9,11,12,14],[3,4,6,7,10,13,14],[3,4,7,8,10,11,13],[3,5,6,7,8,12,14],[3,5,6,9,10,11,13],[4,5,6,8,10,11,12]]; G[2992]:=Group([(2,3)(6,8)(7,9)(11,12)(13,14)]); # Design 2993: autom. group order 2, simple B[2993]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,11],[1,2,6,11,12,13,14],[1,3,6,8,9,10,12],[1,3,8,11,12,13,14],[1,4,5,6,8,13,14],[1,4,6,7,9,12,13],[1,4,7,8,9,11,14],[1,5,7,9,10,11,13],[1,5,7,9,10,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,7,11,12,13],[2,4,6,9,10,11,14],[2,4,8,9,10,13,14],[2,5,6,8,9,12,13],[2,5,7,8,10,12,14],[3,4,5,9,11,12,14],[3,4,6,7,10,13,14],[3,4,7,8,10,12,13],[3,5,6,7,8,11,14],[3,5,6,9,10,11,13],[4,5,6,8,10,11,12]]; G[2993]:=Group([(2,3)(6,8)(7,9)(11,12)(13,14)]); # Design 2994: autom. group order 2, simple, residual B[2994]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,11],[1,2,6,11,12,13,14],[1,3,6,8,9,10,12],[1,3,8,11,12,13,14],[1,4,5,6,8,13,14],[1,4,6,7,9,12,13],[1,4,7,8,9,11,14],[1,5,7,9,10,11,14],[1,5,7,9,10,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,7,11,12,14],[2,4,6,9,10,11,13],[2,4,8,9,10,13,14],[2,5,6,8,9,12,14],[2,5,7,8,10,12,13],[3,4,5,9,11,12,13],[3,4,6,7,10,13,14],[3,4,7,8,10,12,14],[3,5,6,7,8,11,13],[3,5,6,9,10,11,14],[4,5,6,8,10,11,12]]; G[2994]:=Group([(2,3)(6,8)(7,9)(11,12)(13,14)]); # Design 2995: autom. group order 2, simple B[2995]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,11],[1,2,6,11,12,13,14],[1,3,6,8,9,10,12],[1,3,8,11,12,13,14],[1,4,5,6,8,13,14],[1,4,6,7,9,12,13],[1,4,7,8,9,11,14],[1,5,7,9,10,11,13],[1,5,7,9,10,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,7,11,12,13],[2,4,6,9,10,13,14],[2,4,8,9,10,12,13],[2,5,6,8,9,11,14],[2,5,7,8,10,12,14],[3,4,5,9,11,12,14],[3,4,6,7,10,11,14],[3,4,7,8,10,13,14],[3,5,6,7,8,12,13],[3,5,6,9,10,11,13],[4,5,6,8,10,11,12]]; G[2995]:=Group([(2,3)(6,8)(7,9)(11,12)(13,14)]); # Design 2996: autom. group order 2, simple, residual B[2996]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,11],[1,2,6,11,12,13,14],[1,3,6,8,9,10,12],[1,3,8,11,12,13,14],[1,4,5,6,8,13,14],[1,4,6,7,9,12,13],[1,4,7,8,9,11,14],[1,5,7,9,10,11,14],[1,5,7,9,10,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,7,11,12,14],[2,4,6,9,10,13,14],[2,4,8,9,10,12,14],[2,5,6,8,9,11,13],[2,5,7,8,10,12,13],[3,4,5,9,11,12,13],[3,4,6,7,10,11,13],[3,4,7,8,10,13,14],[3,5,6,7,8,12,14],[3,5,6,9,10,11,14],[4,5,6,8,10,11,12]]; G[2996]:=Group([(2,3)(6,8)(7,9)(11,12)(13,14)]); # Design 2997: autom. group order 2, simple, residual B[2997]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,10,14],[1,3,6,9,11,12,14],[1,3,8,11,12,13,14],[1,4,5,6,9,11,13],[1,4,6,7,10,12,14],[1,4,7,9,10,12,13],[1,5,7,8,9,12,13],[1,5,7,8,10,11,14],[2,3,6,7,8,12,13],[2,3,7,9,10,13,14],[2,4,5,11,12,13,14],[2,4,6,8,9,12,14],[2,4,7,9,11,13,14],[2,5,6,7,10,11,12],[2,5,8,9,10,11,12],[3,4,5,7,8,12,14],[3,4,6,8,10,11,13],[3,4,7,8,9,10,11],[3,5,6,7,9,11,14],[3,5,6,9,10,12,13],[4,5,6,8,10,13,14]]; G[2997]:=Group([(1,12)(3,11)(4,10)]); # Design 2998: autom. group order 2, simple, residual B[2998]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,10,14],[1,3,6,9,11,12,14],[1,3,8,11,12,13,14],[1,4,5,6,9,12,13],[1,4,6,7,10,11,14],[1,4,7,9,10,12,13],[1,5,7,8,9,11,13],[1,5,7,8,10,12,14],[2,3,6,7,8,12,13],[2,3,7,9,10,13,14],[2,4,5,8,11,12,14],[2,4,6,9,11,13,14],[2,4,7,8,9,12,14],[2,5,6,7,10,11,12],[2,5,9,10,11,12,13],[3,4,5,7,11,13,14],[3,4,6,8,10,12,13],[3,4,7,8,9,10,11],[3,5,6,7,9,12,14],[3,5,6,8,9,10,11],[4,5,6,8,10,13,14]]; G[2998]:=Group([(1,11)(3,12)(4,10)(8,13)]); # Design 2999: autom. group order 2, simple, residual B[2999]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,11,13,14],[1,2,6,9,10,12,13],[1,3,6,7,8,12,13],[1,3,7,8,9,10,11],[1,4,5,6,7,12,14],[1,4,6,9,10,11,14],[1,4,7,9,11,12,13],[1,5,7,8,10,11,14],[1,5,8,9,12,13,14],[2,3,6,8,11,12,14],[2,3,7,9,11,12,14],[2,4,5,8,9,11,13],[2,4,6,7,8,9,14],[2,4,7,8,10,12,13],[2,5,6,7,10,11,13],[2,5,7,9,10,12,14],[3,4,5,11,12,13,14],[3,4,6,9,10,13,14],[3,4,7,8,10,13,14],[3,5,6,7,9,11,13],[3,5,6,8,9,10,12],[4,5,6,8,10,11,12]]; G[2999]:=Group([(1,13)(2,14)(5,10)(6,8)]); # Design 3000: autom. group order 2, simple, residual B[3000]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,11,13,14],[1,2,6,9,10,12,13],[1,3,6,7,8,12,13],[1,3,7,8,9,10,11],[1,4,5,6,9,11,14],[1,4,6,7,10,12,14],[1,4,7,9,11,12,13],[1,5,7,8,10,11,14],[1,5,8,9,12,13,14],[2,3,6,8,11,12,14],[2,3,7,9,11,12,14],[2,4,5,7,8,12,13],[2,4,6,7,8,9,14],[2,4,8,9,10,11,13],[2,5,6,7,10,11,13],[2,5,7,9,10,12,14],[3,4,5,11,12,13,14],[3,4,6,9,10,13,14],[3,4,7,8,10,13,14],[3,5,6,7,9,11,13],[3,5,6,8,9,10,12],[4,5,6,8,10,11,12]]; G[3000]:=Group([(1,13)(2,14)(5,10)(6,8)]); # Design 3001: autom. group order 2, simple B[3001]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,11,13,14],[1,2,6,9,10,12,13],[1,3,6,7,8,12,13],[1,3,7,9,11,12,13],[1,4,5,6,9,12,14],[1,4,6,7,10,11,14],[1,4,7,8,9,10,11],[1,5,7,8,9,13,14],[1,5,8,10,11,12,14],[2,3,6,8,9,11,14],[2,3,7,9,11,12,14],[2,4,5,8,11,12,13],[2,4,6,7,8,12,14],[2,4,7,8,9,10,13],[2,5,6,7,10,11,13],[2,5,7,9,10,12,14],[3,4,5,7,11,13,14],[3,4,6,9,10,13,14],[3,4,8,10,12,13,14],[3,5,6,7,8,10,12],[3,5,6,8,9,10,11],[4,5,6,9,11,12,13]]; G[3001]:=Group([(1,13)(2,14)(5,10)(6,8)(7,12)]); # Design 3002: autom. group order 2, simple, residual B[3002]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,11,13,14],[1,2,6,9,10,12,13],[1,3,6,7,8,12,13],[1,3,7,8,9,10,11],[1,4,5,6,9,12,14],[1,4,6,7,10,11,14],[1,4,7,9,11,12,13],[1,5,7,8,9,13,14],[1,5,8,10,11,12,14],[2,3,6,8,9,11,14],[2,3,7,9,11,12,14],[2,4,5,8,11,12,13],[2,4,6,7,8,12,14],[2,4,7,8,9,10,13],[2,5,6,7,10,11,13],[2,5,7,9,10,12,14],[3,4,5,7,11,13,14],[3,4,6,9,10,13,14],[3,4,8,10,12,13,14],[3,5,6,7,8,10,12],[3,5,6,9,11,12,13],[4,5,6,8,9,10,11]]; G[3002]:=Group([(1,13)(2,14)(5,10)(6,8)(7,12)]); # Design 3003: autom. group order 2, simple B[3003]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,12,13,14],[1,3,6,7,9,11,12],[1,3,9,10,11,13,14],[1,4,5,6,7,11,14],[1,4,6,8,10,12,14],[1,4,7,9,10,12,13],[1,5,7,8,9,12,14],[1,5,7,8,10,11,13],[2,3,6,7,12,13,14],[2,3,7,8,9,11,14],[2,4,5,8,11,12,13],[2,4,6,7,9,10,13],[2,4,7,8,9,10,14],[2,5,6,9,10,11,12],[2,5,7,10,11,12,14],[3,4,5,9,12,13,14],[3,4,6,8,10,11,14],[3,4,7,8,11,12,13],[3,5,6,7,8,10,13],[3,5,6,8,9,10,12],[4,5,6,9,11,13,14]]; G[3003]:=Group([(1,12)(3,11)(4,10)(7,9)(8,14)]); # Design 3004: autom. group order 2, simple, residual B[3004]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,10,13,14],[1,3,6,7,9,10,12],[1,3,9,11,12,13,14],[1,4,5,6,7,11,14],[1,4,6,8,11,12,14],[1,4,7,8,10,12,13],[1,5,7,8,9,12,14],[1,5,7,9,10,11,13],[2,3,6,7,12,13,14],[2,3,7,8,9,11,14],[2,4,5,9,11,12,13],[2,4,6,7,9,12,13],[2,4,7,8,9,10,14],[2,5,6,8,10,11,12],[2,5,7,10,11,12,14],[3,4,5,8,12,13,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,13],[3,5,6,7,8,11,13],[3,5,6,8,9,10,12],[4,5,6,9,10,13,14]]; G[3004]:=Group([(1,12)(3,11)(4,10)(7,8)(9,14)]); # Design 3005: autom. group order 2, simple, residual B[3005]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,10,13],[1,2,6,8,9,11,14],[1,3,6,7,10,12,13],[1,3,8,11,12,13,14],[1,4,5,6,7,11,14],[1,4,6,9,11,12,13],[1,4,7,9,10,12,14],[1,5,7,8,9,12,14],[1,5,7,8,10,11,13],[2,3,6,7,8,12,14],[2,3,7,9,11,13,14],[2,4,5,11,12,13,14],[2,4,6,7,8,12,13],[2,4,7,9,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,11,12],[3,4,5,8,9,12,13],[3,4,6,8,10,11,14],[3,4,7,8,9,10,11],[3,5,6,7,9,11,13],[3,5,6,9,10,12,14],[4,5,6,8,10,13,14]]; G[3005]:=Group([(1,12)(3,11)(4,10)(7,9)]); # Design 3006: autom. group order 2, simple B[3006]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,12,13,14],[1,3,6,7,8,10,12],[1,3,9,10,11,13,14],[1,4,5,6,7,11,14],[1,4,6,9,11,12,14],[1,4,7,9,10,12,13],[1,5,7,8,9,12,14],[1,5,7,8,10,11,13],[2,3,6,7,12,13,14],[2,3,7,8,9,11,14],[2,4,5,8,11,12,13],[2,4,6,7,9,10,13],[2,4,7,8,9,10,14],[2,5,6,9,10,11,12],[2,5,7,10,11,12,14],[3,4,5,9,12,13,14],[3,4,6,8,10,11,14],[3,4,7,8,11,12,13],[3,5,6,7,9,11,13],[3,5,6,8,9,10,12],[4,5,6,8,10,13,14]]; G[3006]:=Group([(1,12)(3,11)(4,10)(7,9)(8,14)]); # Design 3007: autom. group order 2, simple B[3007]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,10,13,14],[1,3,6,7,8,11,12],[1,3,9,11,12,13,14],[1,4,5,6,7,11,14],[1,4,6,9,10,12,14],[1,4,7,8,10,12,13],[1,5,7,8,9,12,14],[1,5,7,9,10,11,13],[2,3,6,7,12,13,14],[2,3,7,8,9,11,14],[2,4,5,9,11,12,13],[2,4,6,7,9,12,13],[2,4,7,8,9,10,14],[2,5,6,8,10,11,12],[2,5,7,10,11,12,14],[3,4,5,8,12,13,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,13],[3,5,6,7,9,10,13],[3,5,6,8,9,10,12],[4,5,6,8,11,13,14]]; G[3007]:=Group([(1,12)(3,11)(4,10)(7,8)(9,14)]); # Design 3008: autom. group order 2, simple B[3008]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,13,14],[1,2,6,10,11,12,13],[1,3,6,7,8,11,13],[1,3,8,9,11,12,14],[1,4,5,6,9,11,14],[1,4,6,7,10,12,14],[1,4,7,8,9,10,12],[1,5,7,8,12,13,14],[1,5,7,9,10,11,13],[2,3,6,7,9,12,13],[2,3,7,9,11,12,14],[2,4,5,8,11,12,13],[2,4,6,7,8,11,14],[2,4,7,8,9,10,13],[2,5,6,8,10,12,14],[2,5,7,9,10,11,14],[3,4,5,7,12,13,14],[3,4,6,9,10,13,14],[3,4,8,10,11,13,14],[3,5,6,7,8,10,11],[3,5,6,8,9,10,12],[4,5,6,9,11,12,13]]; G[3008]:=Group([(1,13)(2,14)(5,10)(6,8)(7,11)]); # Design 3009: autom. group order 2, simple B[3009]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,11,13,14],[1,2,6,9,10,12,13],[1,3,6,7,8,12,13],[1,3,8,9,11,12,14],[1,4,5,6,11,12,14],[1,4,6,7,9,10,14],[1,4,7,8,9,10,11],[1,5,7,8,9,13,14],[1,5,7,10,11,12,13],[2,3,6,7,9,11,13],[2,3,7,9,11,12,14],[2,4,5,8,9,12,13],[2,4,6,7,8,12,14],[2,4,7,8,10,11,13],[2,5,6,8,10,11,14],[2,5,7,9,10,12,14],[3,4,5,7,11,13,14],[3,4,6,9,10,13,14],[3,4,8,10,12,13,14],[3,5,6,7,8,10,12],[3,5,6,8,9,10,11],[4,5,6,9,11,12,13]]; G[3009]:=Group([(1,13)(2,14)(5,10)(6,8)(7,12)]); # Design 3010: autom. group order 2, simple B[3010]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,10,11],[1,2,6,11,12,13,14],[1,3,6,7,8,10,12],[1,3,8,11,12,13,14],[1,4,5,6,8,13,14],[1,4,6,7,9,11,13],[1,4,7,8,9,12,14],[1,5,7,9,10,11,13],[1,5,7,9,10,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,9,11,12,14],[2,4,6,7,10,13,14],[2,4,7,8,10,11,14],[2,5,6,8,9,12,13],[2,5,7,8,10,12,13],[3,4,5,7,11,12,13],[3,4,6,9,10,12,13],[3,4,8,9,10,13,14],[3,5,6,7,8,11,14],[3,5,6,9,10,11,14],[4,5,6,8,10,11,12]]; G[3010]:=Group([(2,3)(6,8)(7,9)(11,12)(13,14)]); # Design 3011: autom. group order 2, simple B[3011]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,10,11],[1,2,6,11,12,13,14],[1,3,6,7,8,10,12],[1,3,8,11,12,13,14],[1,4,5,6,8,13,14],[1,4,6,7,9,11,13],[1,4,7,8,9,12,14],[1,5,7,9,10,11,14],[1,5,7,9,10,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,9,11,12,13],[2,4,6,7,10,13,14],[2,4,7,8,10,11,14],[2,5,6,8,9,12,14],[2,5,7,8,10,12,13],[3,4,5,7,11,12,14],[3,4,6,9,10,12,13],[3,4,8,9,10,13,14],[3,5,6,7,8,11,13],[3,5,6,9,10,11,14],[4,5,6,8,10,11,12]]; G[3011]:=Group([(2,3)(6,8)(7,9)(11,12)(13,14)]); # Design 3012: autom. group order 2, simple B[3012]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,10,11],[1,2,6,11,12,13,14],[1,3,6,7,8,10,12],[1,3,8,11,12,13,14],[1,4,5,6,8,13,14],[1,4,6,7,9,11,13],[1,4,7,8,9,12,14],[1,5,7,9,10,11,13],[1,5,7,9,10,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,9,11,12,14],[2,4,6,7,10,13,14],[2,4,7,8,10,12,13],[2,5,6,8,9,12,13],[2,5,7,8,10,11,14],[3,4,5,7,11,12,13],[3,4,6,9,10,11,14],[3,4,8,9,10,13,14],[3,5,6,7,8,11,14],[3,5,6,9,10,12,13],[4,5,6,8,10,11,12]]; G[3012]:=Group([(2,3)(6,8)(7,9)(11,12)(13,14)]); # Design 3013: autom. group order 2, simple B[3013]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,10,11],[1,2,6,11,12,13,14],[1,3,6,7,8,10,12],[1,3,8,11,12,13,14],[1,4,5,6,8,13,14],[1,4,6,7,9,11,13],[1,4,7,8,9,12,14],[1,5,7,9,10,11,14],[1,5,7,9,10,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,9,11,12,13],[2,4,6,7,10,13,14],[2,4,7,8,10,12,13],[2,5,6,8,9,12,14],[2,5,7,8,10,11,14],[3,4,5,7,11,12,14],[3,4,6,9,10,11,14],[3,4,8,9,10,13,14],[3,5,6,7,8,11,13],[3,5,6,9,10,12,13],[4,5,6,8,10,11,12]]; G[3013]:=Group([(2,3)(6,8)(7,9)(11,12)(13,14)]); # Design 3014: autom. group order 2, simple B[3014]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,10,11],[1,2,6,11,12,13,14],[1,3,6,7,8,10,12],[1,3,8,11,12,13,14],[1,4,5,6,8,13,14],[1,4,6,7,9,12,13],[1,4,7,8,9,11,14],[1,5,7,9,10,11,13],[1,5,7,9,10,12,14],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,9,11,12,14],[2,4,6,7,10,13,14],[2,4,7,8,10,11,13],[2,5,6,8,9,12,13],[2,5,7,8,10,12,14],[3,4,5,7,11,12,13],[3,4,6,9,10,12,14],[3,4,8,9,10,13,14],[3,5,6,7,8,11,14],[3,5,6,9,10,11,13],[4,5,6,8,10,11,12]]; G[3014]:=Group([(2,3)(6,8)(7,9)(11,12)(13,14)]); # Design 3015: autom. group order 2, simple B[3015]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,10,11],[1,2,6,11,12,13,14],[1,3,6,7,8,10,12],[1,3,8,11,12,13,14],[1,4,5,6,8,13,14],[1,4,6,7,9,12,13],[1,4,7,8,9,11,14],[1,5,7,9,10,11,14],[1,5,7,9,10,12,13],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,9,11,12,13],[2,4,6,7,10,13,14],[2,4,7,8,10,11,13],[2,5,6,8,9,12,14],[2,5,7,8,10,12,14],[3,4,5,7,11,12,14],[3,4,6,9,10,12,14],[3,4,8,9,10,13,14],[3,5,6,7,8,11,13],[3,5,6,9,10,11,13],[4,5,6,8,10,11,12]]; G[3015]:=Group([(2,3)(6,8)(7,9)(11,12)(13,14)]); # Design 3016: autom. group order 2, simple B[3016]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,10,11],[1,2,6,11,12,13,14],[1,3,6,7,8,10,12],[1,3,8,11,12,13,14],[1,4,5,6,8,13,14],[1,4,6,7,9,12,13],[1,4,7,8,9,11,14],[1,5,7,9,10,11,13],[1,5,7,9,10,12,14],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,9,11,12,14],[2,4,6,7,10,13,14],[2,4,7,8,10,12,14],[2,5,6,8,9,12,13],[2,5,7,8,10,11,13],[3,4,5,7,11,12,13],[3,4,6,9,10,11,13],[3,4,8,9,10,13,14],[3,5,6,7,8,11,14],[3,5,6,9,10,12,14],[4,5,6,8,10,11,12]]; G[3016]:=Group([(2,3)(6,8)(7,9)(11,12)(13,14)]); # Design 3017: autom. group order 2, simple B[3017]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,10,11],[1,2,6,11,12,13,14],[1,3,6,7,8,10,12],[1,3,8,11,12,13,14],[1,4,5,6,8,13,14],[1,4,6,7,9,12,13],[1,4,7,8,9,11,14],[1,5,7,9,10,11,14],[1,5,7,9,10,12,13],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,9,11,12,13],[2,4,6,7,10,13,14],[2,4,7,8,10,12,14],[2,5,6,8,9,12,14],[2,5,7,8,10,11,13],[3,4,5,7,11,12,14],[3,4,6,9,10,11,13],[3,4,8,9,10,13,14],[3,5,6,7,8,11,13],[3,5,6,9,10,12,14],[4,5,6,8,10,11,12]]; G[3017]:=Group([(2,3)(6,8)(7,9)(11,12)(13,14)]); # Design 3018: autom. group order 2, simple, residual B[3018]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,10,11],[1,2,6,8,9,12,13],[1,3,6,11,12,13,14],[1,3,7,8,10,11,14],[1,4,5,6,7,11,13],[1,4,6,7,9,12,14],[1,4,7,8,10,12,13],[1,5,7,9,10,12,14],[1,5,8,9,11,13,14],[2,3,6,7,8,12,14],[2,3,7,9,11,12,13],[2,4,5,11,12,13,14],[2,4,6,9,10,13,14],[2,4,7,8,10,13,14],[2,5,6,7,8,11,14],[2,5,7,9,10,11,12],[3,4,5,8,9,12,14],[3,4,6,9,10,11,14],[3,4,7,8,9,11,13],[3,5,6,7,9,10,13],[3,5,6,8,10,12,13],[4,5,6,8,10,11,12]]; G[3018]:=Group([(1,14)(3,13)(5,10)(7,9)]); # Design 3019: autom. group order 2, simple, residual B[3019]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,10,13,14],[1,3,6,9,11,12,14],[1,3,7,9,10,12,13],[1,4,5,6,7,11,14],[1,4,6,7,8,10,12],[1,4,8,11,12,13,14],[1,5,7,8,9,12,14],[1,5,7,9,10,11,13],[2,3,6,7,12,13,14],[2,3,7,8,9,11,14],[2,4,5,9,11,12,13],[2,4,6,7,9,12,13],[2,4,7,8,9,10,14],[2,5,6,8,10,11,12],[2,5,7,10,11,12,14],[3,4,5,8,12,13,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,13],[3,5,6,7,8,11,13],[3,5,6,8,9,10,12],[4,5,6,9,10,13,14]]; G[3019]:=Group([(1,12)(3,11)(4,10)(7,8)(9,14)]); # Design 3020: autom. group order 2, simple B[3020]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,10,13,14],[1,3,6,9,11,12,14],[1,3,7,8,11,12,13],[1,4,5,6,7,11,14],[1,4,6,7,8,10,12],[1,4,9,10,12,13,14],[1,5,7,8,9,12,14],[1,5,7,9,10,11,13],[2,3,6,7,12,13,14],[2,3,7,8,9,11,14],[2,4,5,9,11,12,13],[2,4,6,7,9,12,13],[2,4,7,8,9,10,14],[2,5,6,8,10,11,12],[2,5,7,10,11,12,14],[3,4,5,8,12,13,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,13],[3,5,6,7,9,10,13],[3,5,6,8,9,10,12],[4,5,6,8,11,13,14]]; G[3020]:=Group([(1,12)(3,11)(4,10)(7,8)(9,14)]); # Design 3021: autom. group order 2, simple B[3021]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,10,13,14],[1,3,6,9,11,12,14],[1,3,7,8,11,12,13],[1,4,5,6,7,11,14],[1,4,6,9,10,12,14],[1,4,7,8,10,12,13],[1,5,7,8,9,12,14],[1,5,7,9,10,11,13],[2,3,6,7,12,13,14],[2,3,7,8,9,11,14],[2,4,5,9,11,12,13],[2,4,6,7,9,12,13],[2,4,7,8,9,10,14],[2,5,6,8,10,11,12],[2,5,7,10,11,12,14],[3,4,5,8,12,13,14],[3,4,6,7,8,10,11],[3,4,9,10,11,13,14],[3,5,6,7,9,10,13],[3,5,6,8,9,10,12],[4,5,6,8,11,13,14]]; G[3021]:=Group([(1,12)(3,11)(4,10)(7,8)(9,14)]); # Design 3022: autom. group order 2, simple B[3022]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,10,13],[1,2,6,8,9,11,14],[1,3,6,8,11,12,14],[1,3,7,9,11,12,13],[1,4,5,6,12,13,14],[1,4,6,7,10,11,13],[1,4,7,9,10,12,14],[1,5,7,8,9,10,12],[1,5,7,8,11,13,14],[2,3,6,7,9,12,13],[2,3,7,8,12,13,14],[2,4,5,7,8,11,12],[2,4,6,7,9,11,14],[2,4,7,8,10,13,14],[2,5,6,10,11,12,13],[2,5,9,10,11,12,14],[3,4,5,9,11,13,14],[3,4,6,8,10,12,14],[3,4,8,9,10,11,13],[3,5,6,7,8,10,11],[3,5,6,7,9,10,14],[4,5,6,8,9,12,13]]; G[3022]:=Group([(1,11)(3,12)(4,10)(7,13)(8,14)]); # Design 3023: autom. group order 2, simple B[3023]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,10,13],[1,2,6,8,9,11,14],[1,3,6,8,11,12,14],[1,3,7,9,11,12,13],[1,4,5,6,12,13,14],[1,4,6,7,10,12,14],[1,4,7,9,10,11,13],[1,5,7,8,9,10,12],[1,5,7,8,11,13,14],[2,3,6,7,9,12,13],[2,3,7,8,12,13,14],[2,4,5,7,8,11,12],[2,4,6,7,9,11,14],[2,4,7,8,10,13,14],[2,5,6,10,11,12,13],[2,5,9,10,11,12,14],[3,4,5,9,11,13,14],[3,4,6,8,10,11,13],[3,4,8,9,10,12,14],[3,5,6,7,8,10,11],[3,5,6,7,9,10,14],[4,5,6,8,9,12,13]]; G[3023]:=Group([(1,11)(3,12)(4,10)(7,13)(8,14)]); # Design 3024: autom. group order 2, simple B[3024]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,8,10,11,14],[1,3,7,9,10,12,13],[1,4,5,6,12,13,14],[1,4,6,7,11,12,13],[1,4,7,9,10,11,14],[1,5,7,8,9,10,12],[1,5,7,8,11,13,14],[2,3,6,7,9,11,13],[2,3,7,8,12,13,14],[2,4,5,7,8,11,12],[2,4,6,7,9,10,14],[2,4,7,8,10,13,14],[2,5,6,10,11,12,14],[2,5,9,10,11,12,13],[3,4,5,9,11,13,14],[3,4,6,8,10,12,13],[3,4,8,9,11,12,14],[3,5,6,7,8,10,11],[3,5,6,7,9,12,14],[4,5,6,8,9,10,13]]; G[3024]:=Group([(1,11)(3,12)(4,10)(7,14)(8,13)]); # Design 3025: autom. group order 2, simple, residual B[3025]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,8,12,13],[1,3,8,9,11,13,14],[1,4,5,6,11,12,14],[1,4,6,9,10,13,14],[1,4,7,8,9,10,14],[1,5,7,9,10,11,12],[1,5,8,10,11,12,13],[2,3,6,8,9,10,11],[2,3,7,10,12,13,14],[2,4,5,8,9,12,13],[2,4,7,8,10,11,14],[2,4,7,9,11,12,13],[2,5,6,8,10,12,14],[2,5,6,9,11,13,14],[3,4,5,7,11,13,14],[3,4,6,8,11,12,14],[3,4,6,9,10,12,13],[3,5,6,7,9,10,11],[3,5,7,8,9,12,14],[4,5,6,7,8,10,13]]; G[3025]:=Group([(2,11)(3,12)(4,10)(6,13)(7,8)]); # Design 3026: autom. group order 2, simple, residual B[3026]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,8,12,13],[1,3,8,9,11,13,14],[1,4,5,6,11,12,14],[1,4,6,9,10,13,14],[1,4,7,8,9,10,14],[1,5,7,9,10,11,12],[1,5,8,10,11,12,13],[2,3,6,8,9,10,11],[2,3,7,10,12,13,14],[2,4,5,8,12,13,14],[2,4,7,8,10,11,14],[2,4,7,9,11,12,13],[2,5,6,8,9,10,12],[2,5,6,9,11,13,14],[3,4,5,7,9,11,13],[3,4,6,8,11,12,14],[3,4,6,9,10,12,13],[3,5,6,7,10,11,14],[3,5,7,8,9,12,14],[4,5,6,7,8,10,13]]; G[3026]:=Group([(2,11)(3,12)(4,10)(6,13)(7,8)]); # Design 3027: autom. group order 2, simple, residual B[3027]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,8,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,11,12,14],[1,4,6,8,9,10,13],[1,4,7,8,9,10,14],[1,5,7,10,11,12,13],[1,5,8,9,10,11,12],[2,3,6,9,10,11,14],[2,3,7,8,10,12,13],[2,4,5,8,12,13,14],[2,4,7,8,10,11,14],[2,4,9,11,12,13,14],[2,5,6,7,9,10,12],[2,5,6,8,9,11,13],[3,4,5,7,9,11,13],[3,4,6,7,8,11,12],[3,4,6,9,10,12,13],[3,5,6,8,10,11,14],[3,5,7,8,9,12,14],[4,5,6,7,10,13,14]]; G[3027]:=Group([(2,11)(3,12)(4,10)(6,13)]); # Design 3028: autom. group order 2, simple, residual B[3028]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,12,13,14],[1,3,6,7,9,11,14],[1,3,7,8,12,13,14],[1,4,5,6,11,12,13],[1,4,6,8,9,10,14],[1,4,7,8,9,10,13],[1,5,7,10,11,12,14],[1,5,8,9,10,11,12],[2,3,6,7,8,10,12],[2,3,9,10,11,13,14],[2,4,5,7,9,11,14],[2,4,7,8,11,12,14],[2,4,7,9,10,12,13],[2,5,6,8,9,12,14],[2,5,6,8,10,11,13],[3,4,5,8,12,13,14],[3,4,6,8,10,11,14],[3,4,6,9,11,12,13],[3,5,6,7,9,10,12],[3,5,7,8,9,11,13],[4,5,6,7,10,13,14]]; G[3028]:=Group([(2,12)(3,11)(4,10)(6,14)]); # Design 3029: autom. group order 2, simple, residual B[3029]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,12],[1,2,6,9,11,12,13],[1,3,6,7,9,10,13],[1,3,7,8,11,13,14],[1,4,5,6,8,12,14],[1,4,6,10,11,13,14],[1,4,7,9,10,12,14],[1,5,7,8,9,11,14],[1,5,8,9,10,12,13],[2,3,6,8,9,10,14],[2,3,7,8,12,13,14],[2,4,5,7,9,11,13],[2,4,7,8,10,12,13],[2,4,8,9,10,11,14],[2,5,6,7,10,11,14],[2,5,6,9,12,13,14],[3,4,5,11,12,13,14],[3,4,6,7,9,12,14],[3,4,6,8,9,11,13],[3,5,6,8,10,11,12],[3,5,7,9,10,11,12],[4,5,6,7,8,10,13]]; G[3029]:=Group([(1,11)(2,12)(4,10)(7,8)]); # Design 3030: autom. group order 2, simple, residual B[3030]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,10,14],[1,3,6,7,8,12,13],[1,3,7,9,10,13,14],[1,4,5,6,11,12,14],[1,4,6,8,9,12,14],[1,4,7,9,11,13,14],[1,5,7,9,10,11,12],[1,5,8,10,11,12,13],[2,3,6,9,11,12,13],[2,3,7,8,11,12,14],[2,4,5,7,9,12,13],[2,4,7,8,9,10,11],[2,4,8,10,12,13,14],[2,5,6,7,10,12,14],[2,5,6,9,11,13,14],[3,4,5,8,11,13,14],[3,4,6,7,10,11,14],[3,4,6,9,10,12,13],[3,5,6,8,9,10,11],[3,5,7,8,9,12,14],[4,5,6,7,8,10,13]]; G[3030]:=Group([(2,11)(3,12)(4,10)(6,13)(7,8)]); # Design 3031: autom. group order 2, simple, residual B[3031]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,10,14],[1,3,6,7,8,12,13],[1,3,7,9,10,13,14],[1,4,5,6,11,12,14],[1,4,6,8,9,12,14],[1,4,7,9,11,13,14],[1,5,7,9,10,11,12],[1,5,8,10,11,12,13],[2,3,6,9,11,12,13],[2,3,7,8,11,12,14],[2,4,5,7,9,12,13],[2,4,7,8,10,11,14],[2,4,8,9,10,12,13],[2,5,6,7,10,12,14],[2,5,6,9,11,13,14],[3,4,5,8,11,13,14],[3,4,6,7,9,10,11],[3,4,6,10,12,13,14],[3,5,6,8,9,10,11],[3,5,7,8,9,12,14],[4,5,6,7,8,10,13]]; G[3031]:=Group([(2,11)(3,12)(4,10)(6,13)(7,8)]); # Design 3032: autom. group order 2, simple, residual B[3032]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,10,14],[1,3,6,7,8,12,13],[1,3,7,9,10,13,14],[1,4,5,6,11,12,14],[1,4,6,8,9,12,14],[1,4,7,9,11,13,14],[1,5,7,9,10,11,12],[1,5,8,10,11,12,13],[2,3,6,9,11,12,13],[2,3,7,8,11,12,14],[2,4,5,7,12,13,14],[2,4,7,8,9,10,11],[2,4,8,10,12,13,14],[2,5,6,7,9,10,12],[2,5,6,9,11,13,14],[3,4,5,8,9,11,13],[3,4,6,7,10,11,14],[3,4,6,9,10,12,13],[3,5,6,8,10,11,14],[3,5,7,8,9,12,14],[4,5,6,7,8,10,13]]; G[3032]:=Group([(2,11)(3,12)(4,10)(6,13)(7,8)]); # Design 3033: autom. group order 2, simple, residual B[3033]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,10,14],[1,3,6,7,8,12,13],[1,3,7,9,10,13,14],[1,4,5,6,11,12,14],[1,4,6,8,9,12,14],[1,4,7,9,11,13,14],[1,5,7,9,10,11,12],[1,5,8,10,11,12,13],[2,3,6,9,11,12,13],[2,3,7,8,11,12,14],[2,4,5,7,12,13,14],[2,4,7,8,10,11,14],[2,4,8,9,10,12,13],[2,5,6,7,9,10,12],[2,5,6,9,11,13,14],[3,4,5,8,9,11,13],[3,4,6,7,9,10,11],[3,4,6,10,12,13,14],[3,5,6,8,10,11,14],[3,5,7,8,9,12,14],[4,5,6,7,8,10,13]]; G[3033]:=Group([(2,11)(3,12)(4,10)(6,13)(7,8)]); # Design 3034: autom. group order 2, simple, residual B[3034]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,11,12,13],[1,2,6,8,11,12,14],[1,3,6,7,8,10,14],[1,3,7,8,9,11,13],[1,4,5,6,9,12,13],[1,4,6,8,9,10,11],[1,4,9,10,12,13,14],[1,5,7,8,10,12,14],[1,5,7,9,11,13,14],[2,3,6,9,10,13,14],[2,3,7,8,9,12,13],[2,4,5,8,11,13,14],[2,4,7,8,10,12,13],[2,4,7,9,10,11,14],[2,5,6,7,9,10,11],[2,5,6,8,9,12,14],[3,4,5,7,11,12,14],[3,4,6,7,9,12,14],[3,4,6,8,11,13,14],[3,5,6,10,11,12,13],[3,5,8,9,10,11,12],[4,5,6,7,8,10,13]]; G[3034]:=Group([(1,11)(2,12)(4,10)(7,13)]); # Design 3035: autom. group order 2, simple B[3035]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,12,13,14],[1,3,6,7,9,11,14],[1,3,8,9,12,13,14],[1,4,5,6,11,12,13],[1,4,6,7,9,10,14],[1,4,7,8,9,10,13],[1,5,7,8,10,11,12],[1,5,9,10,11,12,14],[2,3,6,8,9,10,12],[2,3,7,10,11,13,14],[2,4,5,9,11,13,14],[2,4,7,8,11,12,14],[2,4,7,9,10,12,13],[2,5,6,7,9,12,14],[2,5,6,8,9,10,11],[3,4,5,7,8,12,14],[3,4,6,8,10,11,14],[3,4,6,9,11,12,13],[3,5,6,7,10,12,13],[3,5,7,8,9,11,13],[4,5,6,8,10,13,14]]; G[3035]:=Group([(2,12)(3,11)(4,10)(6,14)(7,9)]); # Design 3036: autom. group order 2, simple, residual B[3036]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,12],[1,2,6,9,11,12,13],[1,3,6,8,9,10,13],[1,3,7,8,11,13,14],[1,4,5,6,7,12,14],[1,4,6,10,11,13,14],[1,4,8,9,10,12,14],[1,5,7,8,9,11,14],[1,5,7,9,10,12,13],[2,3,6,7,9,10,14],[2,3,7,8,12,13,14],[2,4,5,8,9,11,13],[2,4,7,8,10,12,13],[2,4,7,9,10,11,14],[2,5,6,8,10,11,14],[2,5,6,9,12,13,14],[3,4,5,11,12,13,14],[3,4,6,7,9,11,13],[3,4,6,8,9,12,14],[3,5,6,8,10,11,12],[3,5,7,9,10,11,12],[4,5,6,7,8,10,13]]; G[3036]:=Group([(1,11)(2,12)(4,10)(7,8)]); # Design 3037: autom. group order 2, simple, residual B[3037]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,10,11,13],[1,2,6,8,11,12,14],[1,3,6,8,9,10,13],[1,3,7,8,9,11,14],[1,4,5,6,7,12,14],[1,4,6,9,11,12,13],[1,4,8,9,10,12,14],[1,5,7,8,10,12,13],[1,5,7,9,11,13,14],[2,3,6,8,12,13,14],[2,3,7,9,12,13,14],[2,4,5,8,9,11,13],[2,4,7,8,10,11,14],[2,4,7,9,10,12,13],[2,5,6,7,8,9,12],[2,5,6,9,10,11,14],[3,4,5,11,12,13,14],[3,4,6,7,8,11,13],[3,4,6,7,9,10,14],[3,5,6,9,10,11,12],[3,5,7,8,10,11,12],[4,5,6,8,10,13,14]]; G[3037]:=Group([(1,11)(2,12)(4,10)(7,9)]); # Design 3038: autom. group order 2, simple, residual B[3038]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,9,11,13,14],[1,3,6,9,12,13,14],[1,3,7,8,9,10,14],[1,4,5,6,9,11,12],[1,4,6,7,8,11,13],[1,4,7,8,9,12,14],[1,5,7,10,11,12,13],[1,5,8,10,11,12,14],[2,3,6,7,11,12,14],[2,3,8,9,11,12,13],[2,4,5,8,11,13,14],[2,4,7,9,10,11,14],[2,4,7,9,10,12,13],[2,5,6,7,8,12,14],[2,5,6,8,9,10,12],[3,4,5,7,12,13,14],[3,4,6,8,10,11,14],[3,4,6,8,10,12,13],[3,5,6,7,9,10,11],[3,5,7,8,9,11,13],[4,5,6,9,10,13,14]]; G[3038]:=Group([(2,3)(6,9)(7,8)(11,12)(13,14)]); # Design 3039: autom. group order 2, simple, residual B[3039]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,9,11,13,14],[1,3,6,9,12,13,14],[1,3,7,8,9,10,14],[1,4,5,6,9,11,12],[1,4,6,7,8,11,13],[1,4,7,8,9,12,14],[1,5,7,10,11,12,13],[1,5,8,10,11,12,14],[2,3,6,7,11,12,14],[2,3,8,9,11,12,13],[2,4,5,8,12,13,14],[2,4,7,9,10,11,14],[2,4,7,9,10,12,13],[2,5,6,7,8,12,14],[2,5,6,8,9,10,11],[3,4,5,7,11,13,14],[3,4,6,8,10,11,14],[3,4,6,8,10,12,13],[3,5,6,7,9,10,12],[3,5,7,8,9,11,13],[4,5,6,9,10,13,14]]; G[3039]:=Group([(2,3)(6,9)(7,8)(11,12)(13,14)]); # Design 3040: autom. group order 2, simple, residual B[3040]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,9,11,13,14],[1,3,6,9,12,13,14],[1,3,7,8,9,10,14],[1,4,5,6,9,11,12],[1,4,6,7,8,12,13],[1,4,7,8,9,11,14],[1,5,7,10,11,12,14],[1,5,8,10,11,12,13],[2,3,6,8,11,12,14],[2,3,7,9,11,12,13],[2,4,5,7,12,13,14],[2,4,7,9,10,11,13],[2,4,8,9,10,12,14],[2,5,6,7,8,11,14],[2,5,6,8,9,10,12],[3,4,5,8,11,13,14],[3,4,6,7,10,12,14],[3,4,6,8,10,11,13],[3,5,6,7,9,10,11],[3,5,7,8,9,12,13],[4,5,6,9,10,13,14]]; G[3040]:=Group([(2,11)(3,12)(4,10)(6,14)(9,13)]); # Design 3041: autom. group order 2, simple, residual B[3041]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,9,11,13,14],[1,3,6,9,12,13,14],[1,3,7,8,9,10,14],[1,4,5,6,9,11,12],[1,4,6,7,8,12,13],[1,4,7,8,9,11,14],[1,5,7,10,11,12,14],[1,5,8,10,11,12,13],[2,3,6,8,11,12,14],[2,3,7,9,11,12,13],[2,4,5,8,12,13,14],[2,4,7,9,10,11,13],[2,4,8,9,10,12,14],[2,5,6,7,8,11,14],[2,5,6,7,9,10,12],[3,4,5,7,11,13,14],[3,4,6,7,10,12,14],[3,4,6,8,10,11,13],[3,5,6,8,9,10,11],[3,5,7,8,9,12,13],[4,5,6,9,10,13,14]]; G[3041]:=Group([(2,11)(3,12)(4,10)(6,14)(9,13)]); # Design 3042: autom. group order 2, simple, residual B[3042]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,8,9,11,14],[1,3,6,8,9,12,14],[1,3,7,9,10,13,14],[1,4,5,6,11,12,13],[1,4,6,7,9,12,13],[1,4,7,8,11,13,14],[1,5,7,10,11,12,14],[1,5,8,9,10,11,12],[2,3,6,11,12,13,14],[2,3,7,8,11,12,13],[2,4,5,9,12,13,14],[2,4,7,9,10,12,14],[2,4,8,9,10,11,13],[2,5,6,7,8,10,12],[2,5,6,7,9,11,14],[3,4,5,7,8,11,14],[3,4,6,7,9,10,11],[3,4,6,8,10,12,14],[3,5,6,9,10,11,13],[3,5,7,8,9,12,13],[4,5,6,8,10,13,14]]; G[3042]:=Group([(2,11)(3,12)(4,10)(6,14)]); # Design 3043: autom. group order 2, simple, residual B[3043]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,11],[1,2,6,9,12,13,14],[1,3,6,8,11,13,14],[1,3,7,9,11,12,13],[1,4,5,6,11,12,14],[1,4,6,7,8,9,12],[1,4,8,9,10,13,14],[1,5,7,8,10,12,13],[1,5,7,9,10,11,14],[2,3,6,7,9,10,13],[2,3,7,8,11,12,14],[2,4,5,8,9,11,13],[2,4,7,8,11,13,14],[2,4,7,9,10,12,14],[2,5,6,8,10,12,14],[2,5,6,9,11,12,13],[3,4,5,7,12,13,14],[3,4,6,8,10,12,13],[3,4,6,9,10,11,14],[3,5,6,7,8,9,14],[3,5,8,9,10,11,12],[4,5,6,7,10,11,13]]; G[3043]:=Group([(1,3)(4,5)(6,7)(8,9)(11,13)(12,14)]); # Design 3044: autom. group order 2, simple B[3044]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,11],[1,2,6,11,12,13,14],[1,3,6,8,9,10,12],[1,3,8,11,12,13,14],[1,4,5,6,8,13,14],[1,4,6,7,9,11,13],[1,4,7,8,9,12,14],[1,5,7,9,10,11,13],[1,5,7,9,10,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,7,11,12,14],[2,4,7,8,10,12,13],[2,4,8,9,10,13,14],[2,5,6,8,9,11,14],[2,5,6,9,10,12,13],[3,4,5,9,11,12,13],[3,4,6,7,10,13,14],[3,4,6,9,10,11,14],[3,5,6,7,8,12,13],[3,5,7,8,10,11,14],[4,5,6,8,10,11,12]]; G[3044]:=Group([(2,3)(6,8)(7,9)(11,12)(13,14)]); # Design 3045: autom. group order 2, simple B[3045]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,11],[1,2,6,11,12,13,14],[1,3,6,8,9,10,12],[1,3,8,11,12,13,14],[1,4,5,6,8,13,14],[1,4,6,7,9,11,13],[1,4,7,8,9,12,14],[1,5,7,9,10,11,14],[1,5,7,9,10,12,13],[2,3,6,7,9,12,13],[2,3,7,8,9,11,14],[2,4,5,7,11,12,14],[2,4,7,8,10,12,13],[2,4,8,9,10,13,14],[2,5,6,8,9,11,13],[2,5,6,9,10,12,14],[3,4,5,9,11,12,13],[3,4,6,7,10,13,14],[3,4,6,9,10,11,14],[3,5,6,7,8,12,14],[3,5,7,8,10,11,13],[4,5,6,8,10,11,12]]; G[3045]:=Group([(2,3)(6,8)(7,9)(11,12)(13,14)]); # Design 3046: autom. group order 2, simple, residual B[3046]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,11],[1,2,6,11,12,13,14],[1,3,6,8,9,10,12],[1,3,8,11,12,13,14],[1,4,5,6,8,13,14],[1,4,6,7,9,12,13],[1,4,7,8,9,11,14],[1,5,7,9,10,11,14],[1,5,7,9,10,12,13],[2,3,6,7,9,11,13],[2,3,7,8,9,12,14],[2,4,5,7,11,12,14],[2,4,7,8,10,12,13],[2,4,8,9,10,13,14],[2,5,6,8,9,11,13],[2,5,6,9,10,12,14],[3,4,5,9,11,12,13],[3,4,6,7,10,13,14],[3,4,6,9,10,11,14],[3,5,6,7,8,12,14],[3,5,7,8,10,11,13],[4,5,6,8,10,11,12]]; G[3046]:=Group([(2,3)(6,8)(7,9)(11,12)(13,14)]); # Design 3047: autom. group order 2, simple B[3047]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,11],[1,2,6,11,12,13,14],[1,3,6,8,9,10,12],[1,3,8,11,12,13,14],[1,4,5,6,8,13,14],[1,4,6,7,9,12,13],[1,4,7,8,9,11,14],[1,5,7,9,10,11,14],[1,5,7,9,10,12,13],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,7,11,12,13],[2,4,7,8,10,12,14],[2,4,8,9,10,13,14],[2,5,6,8,9,11,13],[2,5,6,9,10,12,14],[3,4,5,9,11,12,14],[3,4,6,7,10,13,14],[3,4,6,9,10,11,13],[3,5,6,7,8,12,14],[3,5,7,8,10,11,13],[4,5,6,8,10,11,12]]; G[3047]:=Group([(2,3)(6,8)(7,9)(11,12)(13,14)]); # Design 3048: autom. group order 2, simple B[3048]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,11],[1,2,6,11,12,13,14],[1,3,6,8,9,10,12],[1,3,8,11,12,13,14],[1,4,5,6,8,13,14],[1,4,6,7,9,12,13],[1,4,7,8,9,11,14],[1,5,7,9,10,11,13],[1,5,7,9,10,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,7,11,12,13],[2,4,7,8,10,12,14],[2,4,8,9,10,13,14],[2,5,6,8,9,12,13],[2,5,6,9,10,11,14],[3,4,5,9,11,12,14],[3,4,6,7,10,13,14],[3,4,6,9,10,11,13],[3,5,6,7,8,11,14],[3,5,7,8,10,12,13],[4,5,6,8,10,11,12]]; G[3048]:=Group([(2,3)(6,8)(7,9)(11,12)(13,14)]); # Design 3049: autom. group order 2, simple, residual B[3049]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,11],[1,2,6,11,12,13,14],[1,3,6,8,9,10,12],[1,3,8,11,12,13,14],[1,4,5,6,8,13,14],[1,4,6,7,9,12,13],[1,4,7,8,9,11,14],[1,5,7,9,10,11,14],[1,5,7,9,10,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,7,11,12,14],[2,4,7,8,10,12,13],[2,4,8,9,10,13,14],[2,5,6,8,9,12,14],[2,5,6,9,10,11,13],[3,4,5,9,11,12,13],[3,4,6,7,10,13,14],[3,4,6,9,10,11,14],[3,5,6,7,8,11,13],[3,5,7,8,10,12,14],[4,5,6,8,10,11,12]]; G[3049]:=Group([(2,3)(6,8)(7,9)(11,12)(13,14)]); # Design 3050: autom. group order 2, simple, residual B[3050]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,11,12,13,14],[1,3,6,8,9,10,14],[1,3,8,11,12,13,14],[1,4,5,6,8,11,12],[1,4,6,7,9,11,13],[1,4,7,8,9,12,14],[1,5,7,9,10,11,14],[1,5,7,9,10,12,13],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,7,12,13,14],[2,4,7,8,10,11,14],[2,4,8,9,10,11,13],[2,5,6,8,9,12,14],[2,5,6,9,10,11,12],[3,4,5,9,11,13,14],[3,4,6,7,10,12,14],[3,4,6,9,10,12,13],[3,5,6,7,8,11,13],[3,5,7,8,10,11,12],[4,5,6,8,10,13,14]]; G[3050]:=Group([(2,3)(6,8)(7,9)(11,12)(13,14)]); # Design 3051: autom. group order 2, simple, residual B[3051]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,11,12,13,14],[1,3,6,8,9,10,14],[1,3,8,11,12,13,14],[1,4,5,6,8,11,12],[1,4,6,7,9,11,14],[1,4,7,8,9,12,13],[1,5,7,9,10,11,14],[1,5,7,9,10,12,13],[2,3,6,7,9,11,13],[2,3,7,8,9,12,14],[2,4,5,7,12,13,14],[2,4,7,8,10,11,14],[2,4,8,9,10,11,13],[2,5,6,8,9,12,14],[2,5,6,9,10,11,12],[3,4,5,9,11,13,14],[3,4,6,7,10,12,14],[3,4,6,9,10,12,13],[3,5,6,7,8,11,13],[3,5,7,8,10,11,12],[4,5,6,8,10,13,14]]; G[3051]:=Group([(2,3)(6,8)(7,9)(11,12)(13,14)]); # Design 3052: autom. group order 2, simple, residual B[3052]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,11,12,13,14],[1,3,6,8,9,10,14],[1,3,8,11,12,13,14],[1,4,5,6,8,11,12],[1,4,6,7,9,11,14],[1,4,7,8,9,12,13],[1,5,7,9,10,11,13],[1,5,7,9,10,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,7,11,13,14],[2,4,7,8,10,12,14],[2,4,8,9,10,11,14],[2,5,6,8,9,12,13],[2,5,6,9,10,11,12],[3,4,5,9,12,13,14],[3,4,6,7,10,12,13],[3,4,6,9,10,11,13],[3,5,6,7,8,11,14],[3,5,7,8,10,11,12],[4,5,6,8,10,13,14]]; G[3052]:=Group([(2,3)(6,8)(7,9)(11,12)(13,14)]); # Design 3053: autom. group order 2, simple, residual B[3053]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,11,12,13,14],[1,3,6,8,9,10,14],[1,3,8,11,12,13,14],[1,4,5,6,8,11,12],[1,4,6,7,9,11,14],[1,4,7,8,9,12,13],[1,5,7,9,10,11,14],[1,5,7,9,10,12,13],[2,3,6,7,9,12,13],[2,3,7,8,9,11,14],[2,4,5,7,11,13,14],[2,4,7,8,10,12,14],[2,4,8,9,10,11,13],[2,5,6,8,9,12,14],[2,5,6,9,10,11,12],[3,4,5,9,12,13,14],[3,4,6,7,10,12,14],[3,4,6,9,10,11,13],[3,5,6,7,8,11,13],[3,5,7,8,10,11,12],[4,5,6,8,10,13,14]]; G[3053]:=Group([(2,3)(6,8)(7,9)(11,12)(13,14)]); # Design 3054: autom. group order 2, simple, residual B[3054]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,11,12,13,14],[1,3,6,8,9,10,14],[1,3,8,11,12,13,14],[1,4,5,6,8,11,12],[1,4,6,7,9,11,13],[1,4,7,8,9,12,14],[1,5,7,9,10,11,13],[1,5,7,9,10,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,7,12,13,14],[2,4,7,8,10,11,14],[2,4,8,9,10,12,13],[2,5,6,8,9,11,14],[2,5,6,9,10,11,12],[3,4,5,9,11,13,14],[3,4,6,7,10,11,14],[3,4,6,9,10,12,13],[3,5,6,7,8,12,13],[3,5,7,8,10,11,12],[4,5,6,8,10,13,14]]; G[3054]:=Group([(2,3)(6,8)(7,9)(11,12)(13,14)]); # Design 3055: autom. group order 2, simple, residual B[3055]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,11,12,13,14],[1,3,6,8,9,10,14],[1,3,8,11,12,13,14],[1,4,5,6,8,11,12],[1,4,6,7,9,11,14],[1,4,7,8,9,12,13],[1,5,7,9,10,11,14],[1,5,7,9,10,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,7,12,13,14],[2,4,7,8,10,11,14],[2,4,8,9,10,12,14],[2,5,6,8,9,11,13],[2,5,6,9,10,11,12],[3,4,5,9,11,13,14],[3,4,6,7,10,11,13],[3,4,6,9,10,12,13],[3,5,6,7,8,12,14],[3,5,7,8,10,11,12],[4,5,6,8,10,13,14]]; G[3055]:=Group([(2,3)(6,8)(7,9)(11,12)(13,14)]); # Design 3056: autom. group order 2, simple, residual B[3056]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,12],[1,2,6,8,10,13,14],[1,3,6,7,11,13,14],[1,3,7,8,9,12,13],[1,4,5,6,7,12,13],[1,4,6,9,10,11,14],[1,4,7,9,10,12,14],[1,5,7,8,9,10,11],[1,5,8,11,12,13,14],[2,3,6,9,11,12,13],[2,3,7,8,10,12,14],[2,4,5,9,11,13,14],[2,4,7,8,10,11,13],[2,4,7,9,12,13,14],[2,5,6,7,8,9,14],[2,5,6,7,10,11,12],[3,4,5,8,11,12,14],[3,4,6,7,8,11,14],[3,4,6,8,9,10,13],[3,5,6,9,10,12,14],[3,5,7,9,10,11,13],[4,5,6,8,10,12,13]]; G[3056]:=Group([(1,13)(2,10)(3,8)(5,6)(7,12)]); # Design 3057: autom. group order 2, simple, residual B[3057]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,10,13],[1,2,6,8,11,12,14],[1,3,6,7,11,13,14],[1,3,7,8,9,10,12],[1,4,5,6,7,12,13],[1,4,6,9,10,11,14],[1,4,7,9,12,13,14],[1,5,7,8,10,11,14],[1,5,8,9,11,12,13],[2,3,6,9,11,12,13],[2,3,7,8,12,13,14],[2,4,5,9,11,13,14],[2,4,7,8,10,11,13],[2,4,7,9,10,12,14],[2,5,6,7,8,9,14],[2,5,6,7,10,11,12],[3,4,5,8,11,12,14],[3,4,6,7,8,9,11],[3,4,6,8,10,13,14],[3,5,6,9,10,12,14],[3,5,7,9,10,11,13],[4,5,6,8,10,12,13]]; G[3057]:=Group([(1,13)(2,10)(3,8)(5,6)(7,12)(9,14)]); # Design 3058: autom. group order 2, simple, residual B[3058]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,10,13,14],[1,2,6,8,11,12,13],[1,3,6,7,9,11,14],[1,3,7,8,12,13,14],[1,4,5,6,7,12,14],[1,4,6,9,10,11,13],[1,4,7,9,10,12,13],[1,5,7,8,9,10,11],[1,5,8,9,11,12,14],[2,3,6,9,11,12,14],[2,3,7,8,9,10,12],[2,4,5,9,11,13,14],[2,4,7,8,10,11,14],[2,4,7,9,12,13,14],[2,5,6,7,8,9,13],[2,5,6,7,10,11,12],[3,4,5,8,11,12,13],[3,4,6,7,8,11,13],[3,4,6,8,9,10,14],[3,5,6,9,10,12,13],[3,5,7,10,11,13,14],[4,5,6,8,10,12,14]]; G[3058]:=Group([(1,14)(2,10)(3,8)(5,6)(7,12)]); # Design 3059: autom. group order 2, simple, residual B[3059]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,11,12,13],[1,2,6,9,10,11,14],[1,3,6,7,8,10,14],[1,3,7,8,9,11,13],[1,4,5,6,9,12,13],[1,4,6,7,11,12,14],[1,4,7,8,10,12,13],[1,5,7,9,11,13,14],[1,5,8,9,10,12,14],[2,3,6,8,12,13,14],[2,3,7,9,12,13,14],[2,4,5,7,8,11,14],[2,4,7,9,10,12,14],[2,4,8,9,10,11,13],[2,5,6,7,8,9,12],[2,5,6,7,10,11,13],[3,4,5,11,12,13,14],[3,4,6,7,9,10,13],[3,4,6,8,9,11,14],[3,5,6,9,10,11,12],[3,5,7,8,10,11,12],[4,5,6,8,10,13,14]]; G[3059]:=Group([(1,11)(2,12)(4,10)(7,9)]); # Design 3060: autom. group order 2, simple B[3060]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,10,13],[1,2,6,11,12,13,14],[1,3,6,7,8,10,14],[1,3,8,11,12,13,14],[1,4,5,6,8,11,12],[1,4,6,7,9,11,13],[1,4,7,8,9,12,14],[1,5,7,9,10,11,14],[1,5,7,9,10,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,9,11,13,14],[2,4,7,8,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,10,11,12],[2,5,6,8,9,12,14],[3,4,5,7,12,13,14],[3,4,6,9,10,11,14],[3,4,6,9,10,12,13],[3,5,6,7,8,11,13],[3,5,8,9,10,11,12],[4,5,6,8,10,13,14]]; G[3060]:=Group([(2,3)(6,8)(7,9)(11,12)(13,14)]); # Design 3061: autom. group order 2, simple, residual B[3061]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,10,13],[1,2,6,11,12,13,14],[1,3,6,7,8,10,14],[1,3,8,11,12,13,14],[1,4,5,6,8,11,12],[1,4,6,7,9,11,14],[1,4,7,8,9,12,13],[1,5,7,9,10,11,14],[1,5,7,9,10,12,13],[2,3,6,7,9,12,13],[2,3,7,8,9,11,14],[2,4,5,9,11,13,14],[2,4,7,8,10,11,13],[2,4,7,8,10,12,14],[2,5,6,7,10,11,12],[2,5,6,8,9,12,14],[3,4,5,7,12,13,14],[3,4,6,9,10,11,13],[3,4,6,9,10,12,14],[3,5,6,7,8,11,13],[3,5,8,9,10,11,12],[4,5,6,8,10,13,14]]; G[3061]:=Group([(2,3)(6,8)(7,9)(11,12)(13,14)]); # Design 3062: autom. group order 2, simple, residual B[3062]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,10,13],[1,2,6,11,12,13,14],[1,3,6,7,8,10,14],[1,3,8,11,12,13,14],[1,4,5,6,8,11,12],[1,4,6,7,9,11,13],[1,4,7,8,9,12,14],[1,5,7,9,10,11,13],[1,5,7,9,10,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,9,12,13,14],[2,4,7,8,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,10,11,12],[2,5,6,8,9,11,14],[3,4,5,7,11,13,14],[3,4,6,9,10,11,14],[3,4,6,9,10,12,13],[3,5,6,7,8,12,13],[3,5,8,9,10,11,12],[4,5,6,8,10,13,14]]; G[3062]:=Group([(2,3)(6,8)(7,9)(11,12)(13,14)]); # Design 3063: autom. group order 2, simple B[3063]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,10,13],[1,2,6,11,12,13,14],[1,3,6,7,8,10,14],[1,3,8,11,12,13,14],[1,4,5,6,8,11,12],[1,4,6,7,9,11,14],[1,4,7,8,9,12,13],[1,5,7,9,10,11,13],[1,5,7,9,10,12,14],[2,3,6,7,9,12,13],[2,3,7,8,9,11,14],[2,4,5,9,12,13,14],[2,4,7,8,10,11,13],[2,4,7,8,10,12,14],[2,5,6,7,10,11,12],[2,5,6,8,9,11,14],[3,4,5,7,11,13,14],[3,4,6,9,10,11,13],[3,4,6,9,10,12,14],[3,5,6,7,8,12,13],[3,5,8,9,10,11,12],[4,5,6,8,10,13,14]]; G[3063]:=Group([(2,3)(6,8)(7,9)(11,12)(13,14)]); # Design 3064: autom. group order 2, simple, residual B[3064]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,10,11,13],[1,2,6,9,11,12,14],[1,3,6,7,8,9,12],[1,3,8,9,12,13,14],[1,4,5,6,11,12,13],[1,4,6,7,8,10,14],[1,4,7,9,11,13,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,11,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,12,13],[2,5,6,7,8,9,11],[2,5,6,7,12,13,14],[3,4,5,7,11,12,14],[3,4,6,7,9,10,13],[3,4,6,8,11,13,14],[3,5,6,8,10,12,14],[3,5,6,9,10,11,13],[4,5,8,9,10,11,12]]; G[3064]:=Group([(1,3)(6,7)(8,9)(13,14)]); # Design 3065: autom. group order 2, simple, residual B[3065]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,10,11,13],[1,2,6,9,11,12,14],[1,3,6,7,8,9,12],[1,3,8,9,12,13,14],[1,4,5,6,11,12,14],[1,4,6,7,8,10,13],[1,4,7,9,11,13,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,11,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,13,14],[2,4,6,9,10,12,13],[2,4,7,8,10,12,14],[2,5,6,7,8,9,11],[2,5,6,7,12,13,14],[3,4,5,7,11,12,13],[3,4,6,7,9,10,14],[3,4,6,8,11,13,14],[3,5,6,8,10,12,14],[3,5,6,9,10,11,13],[4,5,8,9,10,11,12]]; G[3065]:=Group([(1,3)(6,7)(8,9)(13,14)]); # Design 3066: autom. group order 2, simple, residual B[3066]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,10,11,13],[1,2,6,9,11,12,14],[1,3,6,7,8,9,12],[1,3,8,9,12,13,14],[1,4,5,6,11,12,13],[1,4,6,7,8,10,14],[1,4,7,9,11,13,14],[1,5,7,8,10,12,14],[1,5,7,9,10,11,13],[2,3,7,8,11,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,12,13],[2,5,6,7,8,9,11],[2,5,6,7,12,13,14],[3,4,5,7,11,12,14],[3,4,6,7,9,10,13],[3,4,6,8,11,13,14],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13],[4,5,8,9,10,11,12]]; G[3066]:=Group([(1,3)(6,7)(8,9)(13,14)]); # Design 3067: autom. group order 2, simple, residual B[3067]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,11,12,13],[1,2,6,9,10,11,14],[1,3,6,7,8,9,12],[1,3,8,9,12,13,14],[1,4,5,6,11,12,13],[1,4,6,7,8,10,14],[1,4,7,9,11,13,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,10,11,13],[2,3,7,9,11,12,14],[2,4,5,8,9,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,12,13],[2,5,6,7,8,9,11],[2,5,6,7,12,13,14],[3,4,5,7,11,12,14],[3,4,6,7,9,10,13],[3,4,6,8,11,13,14],[3,5,6,8,10,12,14],[3,5,6,9,10,11,13],[4,5,8,9,10,11,12]]; G[3067]:=Group([(1,3)(6,7)(8,9)(13,14)]); # Design 3068: autom. group order 2, simple, residual B[3068]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,11,12,13],[1,2,6,9,10,11,14],[1,3,6,7,8,9,12],[1,3,8,9,12,13,14],[1,4,5,6,11,12,13],[1,4,6,7,8,10,14],[1,4,7,9,11,13,14],[1,5,7,8,10,12,14],[1,5,7,9,10,11,13],[2,3,7,8,10,11,13],[2,3,7,9,11,12,14],[2,4,5,8,9,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,12,13],[2,5,6,7,8,9,11],[2,5,6,7,12,13,14],[3,4,5,7,11,12,14],[3,4,6,7,9,10,13],[3,4,6,8,11,13,14],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13],[4,5,8,9,10,11,12]]; G[3068]:=Group([(1,3)(6,7)(8,9)(13,14)]); # Design 3069: autom. group order 2, simple, residual B[3069]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,11,13,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,12,14],[1,4,6,7,9,12,13],[1,4,7,9,10,11,14],[1,5,7,8,10,12,13],[1,5,7,8,11,12,14],[2,3,7,8,9,12,14],[2,3,7,9,12,13,14],[2,4,5,11,12,13,14],[2,4,6,8,10,12,14],[2,4,7,9,10,11,13],[2,5,6,7,8,9,10],[2,5,6,7,10,11,12],[3,4,5,7,8,11,13],[3,4,6,7,8,11,14],[3,4,6,8,10,12,13],[3,5,6,9,10,11,14],[3,5,6,9,11,12,13],[4,5,8,9,10,13,14]]; G[3069]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3070: autom. group order 2, simple, residual B[3070]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,12,13,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,11,14],[1,4,6,7,9,12,13],[1,4,7,9,10,12,14],[1,5,7,8,10,11,14],[1,5,7,8,11,12,13],[2,3,7,8,9,12,14],[2,3,7,9,11,13,14],[2,4,5,11,12,13,14],[2,4,6,8,10,12,14],[2,4,7,9,10,11,13],[2,5,6,7,8,9,10],[2,5,6,7,10,11,12],[3,4,5,7,8,12,13],[3,4,6,7,8,11,14],[3,4,6,8,10,11,13],[3,5,6,9,10,12,13],[3,5,6,9,11,12,14],[4,5,8,9,10,13,14]]; G[3070]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3071: autom. group order 2, simple, residual B[3071]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,12,13,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,12,14],[1,4,6,7,9,11,13],[1,4,7,8,10,11,14],[1,5,7,8,10,12,13],[1,5,7,9,11,12,14],[2,3,7,8,9,12,14],[2,3,7,9,11,13,14],[2,4,5,11,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,10,12,13],[2,5,6,7,8,9,10],[2,5,6,7,10,11,12],[3,4,5,7,8,11,13],[3,4,6,7,8,12,14],[3,4,6,9,10,12,13],[3,5,6,8,11,12,13],[3,5,6,9,10,11,14],[4,5,8,9,10,13,14]]; G[3071]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3072: autom. group order 2, simple, residual B[3072]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,12,13,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,12,14],[1,4,6,7,9,11,13],[1,4,7,8,10,12,13],[1,5,7,8,10,11,14],[1,5,7,9,11,12,14],[2,3,7,8,9,12,14],[2,3,7,9,11,13,14],[2,4,5,11,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,10,12,13],[2,5,6,7,8,9,10],[2,5,6,7,10,11,12],[3,4,5,7,8,11,13],[3,4,6,7,8,12,14],[3,4,6,9,10,11,14],[3,5,6,8,11,12,13],[3,5,6,9,10,12,13],[4,5,8,9,10,13,14]]; G[3072]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3073: autom. group order 2, simple, residual B[3073]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,11,13,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,12,14],[1,4,6,7,9,12,13],[1,4,7,8,10,12,13],[1,5,7,8,11,12,14],[1,5,7,9,10,11,14],[2,3,7,8,9,12,14],[2,3,7,9,12,13,14],[2,4,5,11,12,13,14],[2,4,6,8,10,12,14],[2,4,7,9,10,11,13],[2,5,6,7,8,9,10],[2,5,6,7,10,11,12],[3,4,5,7,8,11,13],[3,4,6,7,8,11,14],[3,4,6,9,10,11,14],[3,5,6,8,10,12,13],[3,5,6,9,11,12,13],[4,5,8,9,10,13,14]]; G[3073]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3074: autom. group order 2, simple, residual B[3074]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,12,13,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,11,14],[1,4,6,7,9,12,13],[1,4,7,8,10,11,14],[1,5,7,8,11,12,13],[1,5,7,9,10,12,14],[2,3,7,8,9,12,14],[2,3,7,9,11,13,14],[2,4,5,11,12,13,14],[2,4,6,8,10,12,14],[2,4,7,9,10,11,13],[2,5,6,7,8,9,10],[2,5,6,7,10,11,12],[3,4,5,7,8,12,13],[3,4,6,7,8,11,14],[3,4,6,9,10,12,13],[3,5,6,8,10,11,13],[3,5,6,9,11,12,14],[4,5,8,9,10,13,14]]; G[3074]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3075: autom. group order 2, simple, residual B[3075]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,11,13,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,12,14],[1,4,6,7,8,12,14],[1,4,7,9,10,11,14],[1,5,7,8,10,12,13],[1,5,7,9,11,12,13],[2,3,7,8,9,12,14],[2,3,7,9,12,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,12,13],[2,4,7,8,10,11,14],[2,5,6,7,8,9,10],[2,5,6,7,10,11,12],[3,4,5,7,8,11,13],[3,4,6,7,9,11,13],[3,4,6,8,10,12,13],[3,5,6,8,11,12,14],[3,5,6,9,10,11,14],[4,5,8,9,10,13,14]]; G[3075]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3076: autom. group order 2, simple, residual B[3076]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,12,13,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,11,14],[1,4,6,7,8,12,14],[1,4,7,9,10,12,13],[1,5,7,8,10,11,13],[1,5,7,9,11,12,14],[2,3,7,8,9,12,14],[2,3,7,9,11,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,12,13],[2,4,7,8,10,11,14],[2,5,6,7,8,9,10],[2,5,6,7,10,11,12],[3,4,5,7,8,12,13],[3,4,6,7,9,11,13],[3,4,6,8,10,11,14],[3,5,6,8,11,12,13],[3,5,6,9,10,12,14],[4,5,8,9,10,13,14]]; G[3076]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3077: autom. group order 2, simple, residual B[3077]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,12,13,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,12,14],[1,4,6,7,8,11,14],[1,4,7,9,10,11,14],[1,5,7,8,11,12,13],[1,5,7,9,10,12,13],[2,3,7,8,9,12,14],[2,3,7,9,11,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,12,14],[2,5,6,7,8,9,10],[2,5,6,7,10,11,12],[3,4,5,7,8,11,13],[3,4,6,7,9,12,13],[3,4,6,8,10,12,13],[3,5,6,8,10,11,14],[3,5,6,9,11,12,14],[4,5,8,9,10,13,14]]; G[3077]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3078: autom. group order 2, simple, residual B[3078]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,12,13,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,12,14],[1,4,6,7,8,11,14],[1,4,7,9,10,12,13],[1,5,7,8,11,12,13],[1,5,7,9,10,11,14],[2,3,7,8,9,12,14],[2,3,7,9,11,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,12,14],[2,5,6,7,8,9,10],[2,5,6,7,10,11,12],[3,4,5,7,8,11,13],[3,4,6,7,9,12,13],[3,4,6,8,10,11,14],[3,5,6,8,10,12,13],[3,5,6,9,11,12,14],[4,5,8,9,10,13,14]]; G[3078]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3079: autom. group order 2, simple, residual B[3079]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,11,13,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,12,14],[1,4,6,7,8,12,14],[1,4,7,8,10,12,13],[1,5,7,9,10,11,14],[1,5,7,9,11,12,13],[2,3,7,8,9,12,14],[2,3,7,9,12,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,12,13],[2,4,7,8,10,11,14],[2,5,6,7,8,9,10],[2,5,6,7,10,11,12],[3,4,5,7,8,11,13],[3,4,6,7,9,11,13],[3,4,6,9,10,11,14],[3,5,6,8,10,12,13],[3,5,6,8,11,12,14],[4,5,8,9,10,13,14]]; G[3079]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3080: autom. group order 2, simple, residual B[3080]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,12,13,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,6,9,11,14],[1,4,6,7,8,12,14],[1,4,7,8,10,11,13],[1,5,7,9,10,12,13],[1,5,7,9,11,12,14],[2,3,7,8,9,12,14],[2,3,7,9,11,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,12,13],[2,4,7,8,10,11,14],[2,5,6,7,8,9,10],[2,5,6,7,10,11,12],[3,4,5,7,8,12,13],[3,4,6,7,9,11,13],[3,4,6,9,10,12,14],[3,5,6,8,10,11,14],[3,5,6,8,11,12,13],[4,5,8,9,10,13,14]]; G[3080]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3081: autom. group order 2, simple, residual B[3081]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,11,12,13],[1,2,6,9,10,11,13],[1,3,6,8,9,12,14],[1,3,7,8,9,12,13],[1,4,5,6,11,12,14],[1,4,6,7,8,10,14],[1,4,7,9,11,13,14],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[2,3,7,8,11,12,14],[2,3,7,9,10,11,14],[2,4,5,8,9,13,14],[2,4,6,7,9,10,12],[2,4,8,10,12,13,14],[2,5,6,7,8,9,11],[2,5,6,7,12,13,14],[3,4,5,7,11,12,13],[3,4,6,7,8,10,13],[3,4,6,9,11,13,14],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13],[4,5,8,9,10,11,12]]; G[3081]:=Group([(1,3)(6,7)(13,14)]); # Design 3082: autom. group order 2, simple, residual B[3082]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,11,12,13],[1,2,6,9,10,11,13],[1,3,6,8,9,12,14],[1,3,7,8,9,12,13],[1,4,5,6,11,12,14],[1,4,6,7,8,10,14],[1,4,7,9,11,13,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,11,12,14],[2,3,7,9,10,11,14],[2,4,5,8,9,13,14],[2,4,6,7,9,10,12],[2,4,8,10,12,13,14],[2,5,6,7,8,9,11],[2,5,6,7,12,13,14],[3,4,5,7,11,12,13],[3,4,6,7,8,10,13],[3,4,6,9,11,13,14],[3,5,6,8,10,11,13],[3,5,6,9,10,12,14],[4,5,8,9,10,11,12]]; G[3082]:=Group([(1,3)(6,7)(13,14)]); # Design 3083: autom. group order 2, simple, residual B[3083]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,11,12,13],[1,2,6,9,10,11,14],[1,3,6,8,9,12,13],[1,3,7,8,9,12,14],[1,4,5,6,11,12,14],[1,4,6,7,8,10,13],[1,4,7,9,11,13,14],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[2,3,7,8,11,12,14],[2,3,7,9,10,11,13],[2,4,5,8,9,13,14],[2,4,6,7,9,10,12],[2,4,8,10,12,13,14],[2,5,6,7,8,9,11],[2,5,6,7,12,13,14],[3,4,5,7,11,12,13],[3,4,6,7,8,10,14],[3,4,6,9,11,13,14],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13],[4,5,8,9,10,11,12]]; G[3083]:=Group([(1,3)(6,7)(13,14)]); # Design 3084: autom. group order 2, simple, residual B[3084]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,11,12,13],[1,2,6,9,10,11,14],[1,3,6,8,9,12,13],[1,3,7,8,9,12,14],[1,4,5,6,11,12,14],[1,4,6,7,8,10,13],[1,4,7,9,11,13,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,11,12,14],[2,3,7,9,10,11,13],[2,4,5,8,9,13,14],[2,4,6,7,9,10,12],[2,4,8,10,12,13,14],[2,5,6,7,8,9,11],[2,5,6,7,12,13,14],[3,4,5,7,11,12,13],[3,4,6,7,8,10,14],[3,4,6,9,11,13,14],[3,5,6,8,10,11,13],[3,5,6,9,10,12,14],[4,5,8,9,10,11,12]]; G[3084]:=Group([(1,3)(6,7)(13,14)]); # Design 3085: autom. group order 2, simple, residual B[3085]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,11,12,13],[1,2,6,9,10,11,14],[1,3,6,8,9,12,14],[1,3,7,8,9,12,13],[1,4,5,6,11,12,13],[1,4,6,7,8,10,14],[1,4,7,9,11,13,14],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[2,3,7,8,11,12,14],[2,3,7,9,10,11,13],[2,4,5,8,9,13,14],[2,4,6,7,9,10,12],[2,4,8,10,12,13,14],[2,5,6,7,8,9,11],[2,5,6,7,12,13,14],[3,4,5,7,11,12,14],[3,4,6,7,8,10,13],[3,4,6,9,11,13,14],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13],[4,5,8,9,10,11,12]]; G[3085]:=Group([(1,3)(6,7)(13,14)]); # Design 3086: autom. group order 2, simple, residual B[3086]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,11,12,13],[1,2,6,9,10,11,14],[1,3,6,8,9,12,14],[1,3,7,8,9,12,13],[1,4,5,6,11,12,13],[1,4,6,7,8,10,14],[1,4,7,9,11,13,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,11,12,14],[2,3,7,9,10,11,13],[2,4,5,8,9,13,14],[2,4,6,7,9,10,12],[2,4,8,10,12,13,14],[2,5,6,7,8,9,11],[2,5,6,7,12,13,14],[3,4,5,7,11,12,14],[3,4,6,7,8,10,13],[3,4,6,9,11,13,14],[3,5,6,8,10,11,13],[3,5,6,9,10,12,14],[4,5,8,9,10,11,12]]; G[3086]:=Group([(1,3)(6,7)(13,14)]); # Design 3087: autom. group order 2, simple, residual B[3087]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,12,14],[1,3,8,9,10,11,13],[1,4,5,8,9,12,14],[1,4,6,8,10,11,12],[1,4,6,9,11,13,14],[1,5,7,8,10,13,14],[1,5,7,9,11,12,13],[2,3,6,8,9,12,13],[2,3,7,8,9,11,14],[2,4,5,11,12,13,14],[2,4,6,8,10,13,14],[2,4,7,9,10,11,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,12],[3,4,5,6,7,11,13],[3,4,7,8,12,13,14],[3,4,7,9,10,12,13],[3,5,6,8,11,12,14],[3,5,6,9,10,11,14],[4,5,6,7,8,9,10]]; G[3087]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3088: autom. group order 2, simple, residual B[3088]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,12,14],[1,3,8,9,10,11,13],[1,4,5,8,9,12,14],[1,4,6,8,10,11,14],[1,4,6,9,11,12,13],[1,5,7,8,10,12,13],[1,5,7,9,11,13,14],[2,3,6,8,9,12,13],[2,3,7,8,9,11,14],[2,4,5,11,12,13,14],[2,4,6,8,10,13,14],[2,4,7,9,10,12,13],[2,5,6,9,10,11,14],[2,5,7,8,10,11,12],[3,4,5,6,7,11,13],[3,4,7,8,11,12,14],[3,4,7,9,10,13,14],[3,5,6,8,12,13,14],[3,5,6,9,10,11,12],[4,5,6,7,8,9,10]]; G[3088]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3089: autom. group order 2, simple, residual B[3089]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,12,14],[1,3,8,9,10,11,13],[1,4,5,8,9,12,14],[1,4,6,8,10,11,12],[1,4,6,9,11,13,14],[1,5,7,8,10,13,14],[1,5,7,9,11,12,13],[2,3,6,8,9,12,13],[2,3,7,8,9,11,14],[2,4,5,11,12,13,14],[2,4,6,8,10,13,14],[2,4,7,9,10,12,13],[2,5,6,9,10,11,14],[2,5,7,8,10,11,12],[3,4,5,6,7,11,13],[3,4,7,8,12,13,14],[3,4,7,9,10,11,14],[3,5,6,8,11,12,14],[3,5,6,9,10,12,13],[4,5,6,7,8,9,10]]; G[3089]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3090: autom. group order 2, simple, residual B[3090]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,12,14],[1,3,8,9,10,11,13],[1,4,5,8,9,12,14],[1,4,6,8,10,11,14],[1,4,6,9,11,13,14],[1,5,7,8,10,12,13],[1,5,7,9,11,12,13],[2,3,6,8,9,12,13],[2,3,7,8,9,11,14],[2,4,5,11,12,13,14],[2,4,6,8,10,12,13],[2,4,7,9,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,11,14],[3,4,5,6,7,11,13],[3,4,7,8,12,13,14],[3,4,7,9,10,11,12],[3,5,6,8,11,12,14],[3,5,6,9,10,13,14],[4,5,6,7,8,9,10]]; G[3090]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3091: autom. group order 2, simple, residual B[3091]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,12,14],[1,3,8,9,10,11,13],[1,4,5,8,9,12,14],[1,4,6,8,10,13,14],[1,4,6,9,11,12,13],[1,5,7,8,10,11,12],[1,5,7,9,11,13,14],[2,3,6,8,9,12,13],[2,3,7,8,9,11,14],[2,4,5,11,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,10,12,13],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,6,7,11,13],[3,4,7,8,11,12,14],[3,4,7,9,10,13,14],[3,5,6,8,12,13,14],[3,5,6,9,10,11,12],[4,5,6,7,8,9,10]]; G[3091]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3092: autom. group order 2, simple, residual B[3092]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,12,14],[1,3,8,9,10,11,13],[1,4,5,8,9,12,14],[1,4,6,8,10,13,14],[1,4,6,9,11,12,13],[1,5,7,8,10,11,12],[1,5,7,9,11,13,14],[2,3,6,8,9,12,13],[2,3,7,8,9,11,14],[2,4,5,11,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,12,13],[3,4,5,6,7,11,13],[3,4,7,8,11,12,14],[3,4,7,9,10,12,13],[3,5,6,8,12,13,14],[3,5,6,9,10,11,14],[4,5,6,7,8,9,10]]; G[3092]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3093: autom. group order 2, simple, residual B[3093]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,12,14],[1,3,8,9,10,11,13],[1,4,5,8,9,12,14],[1,4,6,8,10,12,13],[1,4,6,9,11,13,14],[1,5,7,8,10,11,14],[1,5,7,9,11,12,13],[2,3,6,8,9,12,13],[2,3,7,8,9,11,14],[2,4,5,11,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,12,13],[3,4,5,6,7,11,13],[3,4,7,8,12,13,14],[3,4,7,9,10,11,12],[3,5,6,8,11,12,14],[3,5,6,9,10,13,14],[4,5,6,7,8,9,10]]; G[3093]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3094: autom. group order 2, simple, residual B[3094]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,11,13],[1,3,8,9,10,12,14],[1,4,5,8,9,11,13],[1,4,6,8,11,12,14],[1,4,6,9,10,12,13],[1,5,7,8,12,13,14],[1,5,7,9,10,11,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,8,10,13,14],[2,4,7,9,10,11,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,12],[3,4,5,6,7,12,14],[3,4,7,8,10,13,14],[3,4,7,9,11,12,13],[3,5,6,8,10,11,12],[3,5,6,9,11,13,14],[4,5,6,7,8,9,10]]; G[3094]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3095: autom. group order 2, simple, residual B[3095]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,11,13],[1,3,8,9,10,12,14],[1,4,5,8,9,11,13],[1,4,6,8,11,12,14],[1,4,6,9,10,13,14],[1,5,7,8,12,13,14],[1,5,7,9,10,11,12],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,8,10,12,13],[2,4,7,9,10,11,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,7,12,14],[3,4,7,8,10,13,14],[3,4,7,9,11,12,13],[3,5,6,8,10,11,12],[3,5,6,9,11,13,14],[4,5,6,7,8,9,10]]; G[3095]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3096: autom. group order 2, simple, residual B[3096]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,11,13],[1,3,8,9,10,12,14],[1,4,5,8,9,11,13],[1,4,6,8,11,12,14],[1,4,6,9,10,12,13],[1,5,7,8,12,13,14],[1,5,7,9,10,11,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,8,10,13,14],[2,4,7,9,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,11,12],[3,4,5,6,7,12,14],[3,4,7,8,10,11,14],[3,4,7,9,11,12,13],[3,5,6,8,10,12,13],[3,5,6,9,11,13,14],[4,5,6,7,8,9,10]]; G[3096]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3097: autom. group order 2, simple, residual B[3097]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,11,13],[1,3,8,9,10,12,14],[1,4,5,8,9,11,13],[1,4,6,8,11,12,14],[1,4,6,9,10,13,14],[1,5,7,8,12,13,14],[1,5,7,9,10,11,12],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,8,10,12,13],[2,4,7,9,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,11,14],[3,4,5,6,7,12,14],[3,4,7,8,10,11,14],[3,4,7,9,11,12,13],[3,5,6,8,10,12,13],[3,5,6,9,11,13,14],[4,5,6,7,8,9,10]]; G[3097]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3098: autom. group order 2, simple, residual B[3098]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,11,13],[1,3,8,9,10,12,14],[1,4,5,8,9,11,13],[1,4,6,8,12,13,14],[1,4,6,9,10,11,12],[1,5,7,8,11,12,14],[1,5,7,9,10,13,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,8,10,13,14],[2,4,7,9,10,11,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,12],[3,4,5,6,7,12,14],[3,4,7,8,10,12,13],[3,4,7,9,11,13,14],[3,5,6,8,10,11,14],[3,5,6,9,11,12,13],[4,5,6,7,8,9,10]]; G[3098]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3099: autom. group order 2, simple, residual B[3099]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,11,13],[1,3,8,9,10,12,14],[1,4,5,8,9,11,13],[1,4,6,8,12,13,14],[1,4,6,9,10,11,12],[1,5,7,8,11,12,14],[1,5,7,9,10,13,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,8,10,13,14],[2,4,7,9,10,12,13],[2,5,6,9,10,11,14],[2,5,7,8,10,11,12],[3,4,5,6,7,12,14],[3,4,7,8,10,11,14],[3,4,7,9,11,13,14],[3,5,6,8,10,12,13],[3,5,6,9,11,12,13],[4,5,6,7,8,9,10]]; G[3099]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3100: autom. group order 2, simple, residual B[3100]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,11,13],[1,3,8,9,10,12,14],[1,4,5,8,9,11,13],[1,4,6,8,12,13,14],[1,4,6,9,10,11,14],[1,5,7,8,11,12,14],[1,5,7,9,10,12,13],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,8,10,12,13],[2,4,7,9,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,11,14],[3,4,5,6,7,12,14],[3,4,7,8,10,11,12],[3,4,7,9,11,13,14],[3,5,6,8,10,13,14],[3,5,6,9,11,12,13],[4,5,6,7,8,9,10]]; G[3100]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3101: autom. group order 2, simple, residual B[3101]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,11,13],[1,3,8,9,10,12,14],[1,4,5,8,9,11,13],[1,4,6,8,12,13,14],[1,4,6,9,10,12,13],[1,5,7,8,11,12,14],[1,5,7,9,10,11,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,12,13],[3,4,5,6,7,12,14],[3,4,7,8,10,11,12],[3,4,7,9,11,13,14],[3,5,6,8,10,13,14],[3,5,6,9,11,12,13],[4,5,6,7,8,9,10]]; G[3101]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3102: autom. group order 2, simple, residual B[3102]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,6,9,10,11,14],[1,5,7,8,9,10,14],[1,5,7,9,10,12,13],[2,3,6,9,10,13,14],[2,3,7,9,10,11,12],[2,4,5,8,9,11,13],[2,4,6,9,12,13,14],[2,4,7,8,10,11,14],[2,5,6,8,10,12,13],[2,5,7,9,11,12,14],[3,4,5,6,7,12,14],[3,4,7,8,9,12,13],[3,4,7,8,10,13,14],[3,5,6,8,9,11,14],[3,5,6,8,10,11,12],[4,5,6,7,10,11,13]]; G[3102]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3103: autom. group order 2, simple, residual B[3103]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,6,9,10,11,14],[1,5,7,8,9,10,14],[1,5,7,9,10,12,13],[2,3,6,9,10,13,14],[2,3,7,9,10,11,12],[2,4,5,8,9,11,13],[2,4,6,9,12,13,14],[2,4,7,8,10,11,14],[2,5,6,8,10,12,13],[2,5,7,9,11,12,14],[3,4,5,6,7,12,14],[3,4,7,8,9,13,14],[3,4,7,8,10,12,13],[3,5,6,8,9,11,12],[3,5,6,8,10,11,14],[4,5,6,7,10,11,13]]; G[3103]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3104: autom. group order 2, simple, residual B[3104]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,6,9,10,11,14],[1,5,7,8,9,10,14],[1,5,7,9,10,12,13],[2,3,6,9,10,13,14],[2,3,7,9,10,11,12],[2,4,5,8,9,11,13],[2,4,6,9,12,13,14],[2,4,7,8,10,12,13],[2,5,6,8,10,11,14],[2,5,7,9,11,12,14],[3,4,5,6,7,12,14],[3,4,7,8,9,11,14],[3,4,7,8,10,13,14],[3,5,6,8,9,12,13],[3,5,6,8,10,11,12],[4,5,6,7,10,11,13]]; G[3104]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3105: autom. group order 2, simple, residual B[3105]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,6,9,10,11,14],[1,5,7,8,9,10,14],[1,5,7,9,10,12,13],[2,3,6,9,10,13,14],[2,3,7,9,10,11,12],[2,4,5,8,9,11,13],[2,4,6,9,12,13,14],[2,4,7,8,10,13,14],[2,5,6,8,10,11,12],[2,5,7,9,11,12,14],[3,4,5,6,7,12,14],[3,4,7,8,9,11,14],[3,4,7,8,10,12,13],[3,5,6,8,9,12,13],[3,5,6,8,10,11,14],[4,5,6,7,10,11,13]]; G[3105]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3106: autom. group order 2, simple, residual B[3106]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,6,9,10,11,14],[1,5,7,8,9,10,14],[1,5,7,9,10,12,13],[2,3,6,9,10,13,14],[2,3,7,9,10,11,12],[2,4,5,8,9,11,13],[2,4,6,9,12,13,14],[2,4,7,8,10,12,13],[2,5,6,8,10,11,14],[2,5,7,9,11,12,14],[3,4,5,6,7,12,14],[3,4,7,8,9,13,14],[3,4,7,8,10,11,14],[3,5,6,8,9,11,12],[3,5,6,8,10,12,13],[4,5,6,7,10,11,13]]; G[3106]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3107: autom. group order 2, simple, residual B[3107]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,6,9,10,11,14],[1,5,7,8,9,10,14],[1,5,7,9,10,12,13],[2,3,6,9,10,13,14],[2,3,7,9,10,11,12],[2,4,5,8,9,11,13],[2,4,6,9,12,13,14],[2,4,7,8,10,13,14],[2,5,6,8,10,11,12],[2,5,7,9,11,12,14],[3,4,5,6,7,12,14],[3,4,7,8,9,12,13],[3,4,7,8,10,11,14],[3,5,6,8,9,11,14],[3,5,6,8,10,12,13],[4,5,6,7,10,11,13]]; G[3107]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3108: autom. group order 2, simple, residual B[3108]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,6,9,10,12,13],[1,5,7,8,9,10,12],[1,5,7,9,10,11,14],[2,3,6,9,10,13,14],[2,3,7,9,10,11,12],[2,4,5,8,9,11,13],[2,4,6,9,11,12,14],[2,4,7,8,10,11,14],[2,5,6,8,10,12,13],[2,5,7,9,12,13,14],[3,4,5,6,7,12,14],[3,4,7,8,9,12,13],[3,4,7,8,10,13,14],[3,5,6,8,9,11,14],[3,5,6,8,10,11,12],[4,5,6,7,10,11,13]]; G[3108]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3109: autom. group order 2, simple, residual B[3109]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,6,9,10,12,13],[1,5,7,8,9,10,12],[1,5,7,9,10,11,14],[2,3,6,9,10,13,14],[2,3,7,9,10,11,12],[2,4,5,8,9,11,13],[2,4,6,9,11,12,14],[2,4,7,8,10,11,14],[2,5,6,8,10,12,13],[2,5,7,9,12,13,14],[3,4,5,6,7,12,14],[3,4,7,8,9,13,14],[3,4,7,8,10,12,13],[3,5,6,8,9,11,12],[3,5,6,8,10,11,14],[4,5,6,7,10,11,13]]; G[3109]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3110: autom. group order 2, simple, residual B[3110]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,6,9,10,12,13],[1,5,7,8,9,10,12],[1,5,7,9,10,11,14],[2,3,6,9,10,13,14],[2,3,7,9,10,11,12],[2,4,5,8,9,11,13],[2,4,6,9,11,12,14],[2,4,7,8,10,12,13],[2,5,6,8,10,11,14],[2,5,7,9,12,13,14],[3,4,5,6,7,12,14],[3,4,7,8,9,11,14],[3,4,7,8,10,13,14],[3,5,6,8,9,12,13],[3,5,6,8,10,11,12],[4,5,6,7,10,11,13]]; G[3110]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3111: autom. group order 2, simple, residual B[3111]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,6,9,10,12,13],[1,5,7,8,9,10,12],[1,5,7,9,10,11,14],[2,3,6,9,10,13,14],[2,3,7,9,10,11,12],[2,4,5,8,9,11,13],[2,4,6,9,11,12,14],[2,4,7,8,10,13,14],[2,5,6,8,10,11,12],[2,5,7,9,12,13,14],[3,4,5,6,7,12,14],[3,4,7,8,9,11,14],[3,4,7,8,10,12,13],[3,5,6,8,9,12,13],[3,5,6,8,10,11,14],[4,5,6,7,10,11,13]]; G[3111]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3112: autom. group order 2, simple, residual B[3112]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,6,9,10,12,13],[1,5,7,8,9,10,12],[1,5,7,9,10,11,14],[2,3,6,9,10,13,14],[2,3,7,9,10,11,12],[2,4,5,8,9,11,13],[2,4,6,9,11,12,14],[2,4,7,8,10,12,13],[2,5,6,8,10,11,14],[2,5,7,9,12,13,14],[3,4,5,6,7,12,14],[3,4,7,8,9,13,14],[3,4,7,8,10,11,14],[3,5,6,8,9,11,12],[3,5,6,8,10,12,13],[4,5,6,7,10,11,13]]; G[3112]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3113: autom. group order 2, simple, residual B[3113]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,6,9,10,12,13],[1,5,7,8,9,10,12],[1,5,7,9,10,11,14],[2,3,6,9,10,13,14],[2,3,7,9,10,11,12],[2,4,5,8,9,11,13],[2,4,6,9,11,12,14],[2,4,7,8,10,13,14],[2,5,6,8,10,11,12],[2,5,7,9,12,13,14],[3,4,5,6,7,12,14],[3,4,7,8,9,12,13],[3,4,7,8,10,11,14],[3,5,6,8,9,11,14],[3,5,6,8,10,12,13],[4,5,6,7,10,11,13]]; G[3113]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3114: autom. group order 2, simple, residual B[3114]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,6,9,10,11,14],[1,5,7,8,9,10,14],[1,5,7,9,10,12,13],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,6,8,10,13,14],[2,4,7,9,11,12,14],[2,5,6,9,12,13,14],[2,5,7,8,10,11,12],[3,4,5,6,7,12,14],[3,4,7,8,9,12,13],[3,4,7,8,10,13,14],[3,5,6,8,9,11,14],[3,5,6,8,10,11,12],[4,5,6,7,10,11,13]]; G[3114]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3115: autom. group order 2, simple, residual B[3115]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,6,9,10,11,14],[1,5,7,8,9,10,14],[1,5,7,9,10,12,13],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,6,8,10,13,14],[2,4,7,9,11,12,14],[2,5,6,9,12,13,14],[2,5,7,8,10,11,12],[3,4,5,6,7,12,14],[3,4,7,8,9,13,14],[3,4,7,8,10,12,13],[3,5,6,8,9,11,12],[3,5,6,8,10,11,14],[4,5,6,7,10,11,13]]; G[3115]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3116: autom. group order 2, simple, residual B[3116]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,6,9,10,11,12],[1,5,7,8,9,10,12],[1,5,7,9,10,13,14],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,6,8,10,13,14],[2,4,7,9,12,13,14],[2,5,6,9,11,12,14],[2,5,7,8,10,11,12],[3,4,5,6,7,12,14],[3,4,7,8,9,11,14],[3,4,7,8,10,12,13],[3,5,6,8,9,12,13],[3,5,6,8,10,11,14],[4,5,6,7,10,11,13]]; G[3116]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3117: autom. group order 2, simple, residual B[3117]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,6,9,10,11,14],[1,5,7,8,9,10,12],[1,5,7,9,10,12,13],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,6,8,10,12,13],[2,4,7,9,12,13,14],[2,5,6,9,11,12,14],[2,5,7,8,10,11,14],[3,4,5,6,7,12,14],[3,4,7,8,9,11,12],[3,4,7,8,10,13,14],[3,5,6,8,9,13,14],[3,5,6,8,10,11,12],[4,5,6,7,10,11,13]]; G[3117]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3118: autom. group order 2, simple, residual B[3118]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,6,9,10,11,12],[1,5,7,8,9,10,12],[1,5,7,9,10,13,14],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,6,8,10,13,14],[2,4,7,9,12,13,14],[2,5,6,9,11,12,14],[2,5,7,8,10,11,12],[3,4,5,6,7,12,14],[3,4,7,8,9,12,13],[3,4,7,8,10,11,14],[3,5,6,8,9,11,14],[3,5,6,8,10,12,13],[4,5,6,7,10,11,13]]; G[3118]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3119: autom. group order 2, simple, residual B[3119]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,6,9,10,11,14],[1,5,7,8,9,10,12],[1,5,7,9,10,12,13],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,6,8,10,12,13],[2,4,7,9,12,13,14],[2,5,6,9,11,12,14],[2,5,7,8,10,11,14],[3,4,5,6,7,12,14],[3,4,7,8,9,13,14],[3,4,7,8,10,11,12],[3,5,6,8,9,11,12],[3,5,6,8,10,13,14],[4,5,6,7,10,11,13]]; G[3119]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3120: autom. group order 2, simple, residual B[3120]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,6,9,10,13,14],[1,5,7,8,9,10,14],[1,5,7,9,10,11,12],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,6,8,10,11,14],[2,4,7,9,11,12,14],[2,5,6,9,12,13,14],[2,5,7,8,10,12,13],[3,4,5,6,7,12,14],[3,4,7,8,9,12,13],[3,4,7,8,10,13,14],[3,5,6,8,9,11,14],[3,5,6,8,10,11,12],[4,5,6,7,10,11,13]]; G[3120]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3121: autom. group order 2, simple, residual B[3121]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,6,9,10,13,14],[1,5,7,8,9,10,14],[1,5,7,9,10,11,12],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,6,8,10,11,14],[2,4,7,9,11,12,14],[2,5,6,9,12,13,14],[2,5,7,8,10,12,13],[3,4,5,6,7,12,14],[3,4,7,8,9,13,14],[3,4,7,8,10,12,13],[3,5,6,8,9,11,12],[3,5,6,8,10,11,14],[4,5,6,7,10,11,13]]; G[3121]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3122: autom. group order 2, simple, residual B[3122]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,6,9,10,12,13],[1,5,7,8,9,10,12],[1,5,7,9,10,11,14],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,6,8,10,11,14],[2,4,7,9,12,13,14],[2,5,6,9,11,12,14],[2,5,7,8,10,12,13],[3,4,5,6,7,12,14],[3,4,7,8,9,11,12],[3,4,7,8,10,13,14],[3,5,6,8,9,13,14],[3,5,6,8,10,11,12],[4,5,6,7,10,11,13]]; G[3122]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3123: autom. group order 2, simple, residual B[3123]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,6,9,10,13,14],[1,5,7,8,9,10,12],[1,5,7,9,10,11,12],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,6,8,10,11,12],[2,4,7,9,12,13,14],[2,5,6,9,11,12,14],[2,5,7,8,10,13,14],[3,4,5,6,7,12,14],[3,4,7,8,9,11,14],[3,4,7,8,10,12,13],[3,5,6,8,9,12,13],[3,5,6,8,10,11,14],[4,5,6,7,10,11,13]]; G[3123]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3124: autom. group order 2, simple, residual B[3124]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,6,9,10,12,13],[1,5,7,8,9,10,12],[1,5,7,9,10,11,14],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,6,8,10,11,14],[2,4,7,9,12,13,14],[2,5,6,9,11,12,14],[2,5,7,8,10,12,13],[3,4,5,6,7,12,14],[3,4,7,8,9,13,14],[3,4,7,8,10,11,12],[3,5,6,8,9,11,12],[3,5,6,8,10,13,14],[4,5,6,7,10,11,13]]; G[3124]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3125: autom. group order 2, simple, residual B[3125]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,6,9,10,13,14],[1,5,7,8,9,10,12],[1,5,7,9,10,11,12],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,6,8,10,11,12],[2,4,7,9,12,13,14],[2,5,6,9,11,12,14],[2,5,7,8,10,13,14],[3,4,5,6,7,12,14],[3,4,7,8,9,12,13],[3,4,7,8,10,11,14],[3,5,6,8,9,11,14],[3,5,6,8,10,12,13],[4,5,6,7,10,11,13]]; G[3125]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3126: autom. group order 2, simple, residual B[3126]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,8,9,11,12],[1,3,7,8,9,13,14],[1,4,5,11,12,13,14],[1,4,6,8,10,11,14],[1,4,6,9,10,12,13],[1,5,7,8,10,12,13],[1,5,7,9,10,11,14],[2,3,6,7,10,12,14],[2,3,8,9,10,11,13],[2,4,5,8,9,12,14],[2,4,6,8,10,13,14],[2,4,7,9,11,13,14],[2,5,6,9,11,12,13],[2,5,7,8,10,11,12],[3,4,5,6,7,11,13],[3,4,7,8,11,12,14],[3,4,7,9,10,12,13],[3,5,6,8,12,13,14],[3,5,6,9,10,11,14],[4,5,6,7,8,9,10]]; G[3126]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3127: autom. group order 2, simple, residual B[3127]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,8,9,11,12],[1,3,7,8,9,13,14],[1,4,5,11,12,13,14],[1,4,6,8,10,11,14],[1,4,6,9,10,13,14],[1,5,7,8,10,12,13],[1,5,7,9,10,11,12],[2,3,6,7,10,12,14],[2,3,8,9,10,11,13],[2,4,5,8,9,12,14],[2,4,6,8,10,12,13],[2,4,7,9,11,13,14],[2,5,6,9,11,12,13],[2,5,7,8,10,11,14],[3,4,5,6,7,11,13],[3,4,7,8,11,12,14],[3,4,7,9,10,12,13],[3,5,6,8,12,13,14],[3,5,6,9,10,11,14],[4,5,6,7,8,9,10]]; G[3127]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3128: autom. group order 2, simple, residual B[3128]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,8,9,11,12],[1,3,7,8,9,13,14],[1,4,5,11,12,13,14],[1,4,6,8,10,11,14],[1,4,6,9,10,12,13],[1,5,7,8,10,12,13],[1,5,7,9,10,11,14],[2,3,6,7,10,12,14],[2,3,8,9,10,11,13],[2,4,5,8,9,12,14],[2,4,6,8,10,13,14],[2,4,7,9,11,12,13],[2,5,6,9,11,13,14],[2,5,7,8,10,11,12],[3,4,5,6,7,11,13],[3,4,7,8,12,13,14],[3,4,7,9,10,11,14],[3,5,6,8,11,12,14],[3,5,6,9,10,12,13],[4,5,6,7,8,9,10]]; G[3128]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3129: autom. group order 2, simple, residual B[3129]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,8,9,11,12],[1,3,7,8,9,13,14],[1,4,5,11,12,13,14],[1,4,6,8,10,11,14],[1,4,6,9,10,13,14],[1,5,7,8,10,12,13],[1,5,7,9,10,11,12],[2,3,6,7,10,12,14],[2,3,8,9,10,11,13],[2,4,5,8,9,12,14],[2,4,6,8,10,12,13],[2,4,7,9,11,12,13],[2,5,6,9,11,13,14],[2,5,7,8,10,11,14],[3,4,5,6,7,11,13],[3,4,7,8,12,13,14],[3,4,7,9,10,11,14],[3,5,6,8,11,12,14],[3,5,6,9,10,12,13],[4,5,6,7,8,9,10]]; G[3129]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3130: autom. group order 2, simple, residual B[3130]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,8,9,11,12],[1,3,7,8,9,13,14],[1,4,5,11,12,13,14],[1,4,6,8,10,12,13],[1,4,6,9,10,11,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,6,7,10,12,14],[2,3,8,9,10,11,13],[2,4,5,8,9,12,14],[2,4,6,8,10,13,14],[2,4,7,9,11,13,14],[2,5,6,9,11,12,13],[2,5,7,8,10,11,12],[3,4,5,6,7,11,13],[3,4,7,8,11,12,14],[3,4,7,9,10,12,13],[3,5,6,8,12,13,14],[3,5,6,9,10,11,14],[4,5,6,7,8,9,10]]; G[3130]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3131: autom. group order 2, simple, residual B[3131]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,8,9,11,12],[1,3,7,8,9,13,14],[1,4,5,11,12,13,14],[1,4,6,8,10,13,14],[1,4,6,9,10,11,14],[1,5,7,8,10,11,12],[1,5,7,9,10,12,13],[2,3,6,7,10,12,14],[2,3,8,9,10,11,13],[2,4,5,8,9,12,14],[2,4,6,8,10,12,13],[2,4,7,9,11,13,14],[2,5,6,9,11,12,13],[2,5,7,8,10,11,14],[3,4,5,6,7,11,13],[3,4,7,8,11,12,14],[3,4,7,9,10,12,13],[3,5,6,8,12,13,14],[3,5,6,9,10,11,14],[4,5,6,7,8,9,10]]; G[3131]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3132: autom. group order 2, simple, residual B[3132]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,8,9,11,12],[1,3,7,8,9,13,14],[1,4,5,11,12,13,14],[1,4,6,8,10,12,13],[1,4,6,9,10,11,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,6,7,10,12,14],[2,3,8,9,10,11,13],[2,4,5,8,9,12,14],[2,4,6,8,10,13,14],[2,4,7,9,11,12,13],[2,5,6,9,11,13,14],[2,5,7,8,10,11,12],[3,4,5,6,7,11,13],[3,4,7,8,12,13,14],[3,4,7,9,10,11,14],[3,5,6,8,11,12,14],[3,5,6,9,10,12,13],[4,5,6,7,8,9,10]]; G[3132]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3133: autom. group order 2, simple, residual B[3133]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,8,9,11,12],[1,3,7,8,9,13,14],[1,4,5,11,12,13,14],[1,4,6,8,10,13,14],[1,4,6,9,10,11,14],[1,5,7,8,10,11,12],[1,5,7,9,10,12,13],[2,3,6,7,10,12,14],[2,3,8,9,10,11,13],[2,4,5,8,9,12,14],[2,4,6,8,10,12,13],[2,4,7,9,11,12,13],[2,5,6,9,11,13,14],[2,5,7,8,10,11,14],[3,4,5,6,7,11,13],[3,4,7,8,12,13,14],[3,4,7,9,10,11,14],[3,5,6,8,11,12,14],[3,5,6,9,10,12,13],[4,5,6,7,8,9,10]]; G[3133]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3134: autom. group order 2, simple, residual B[3134]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,8,9,11,12],[1,3,7,8,9,13,14],[1,4,5,11,12,13,14],[1,4,6,8,10,12,13],[1,4,6,9,10,13,14],[1,5,7,8,10,11,14],[1,5,7,9,10,11,12],[2,3,6,7,10,12,14],[2,3,8,9,10,11,13],[2,4,5,8,9,12,14],[2,4,6,8,10,11,14],[2,4,7,9,11,13,14],[2,5,6,9,11,12,13],[2,5,7,8,10,12,13],[3,4,5,6,7,11,13],[3,4,7,8,11,12,14],[3,4,7,9,10,12,13],[3,5,6,8,12,13,14],[3,5,6,9,10,11,14],[4,5,6,7,8,9,10]]; G[3134]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3135: autom. group order 2, simple, residual B[3135]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,8,9,11,12],[1,3,7,8,9,13,14],[1,4,5,11,12,13,14],[1,4,6,8,10,13,14],[1,4,6,9,10,12,13],[1,5,7,8,10,11,12],[1,5,7,9,10,11,14],[2,3,6,7,10,12,14],[2,3,8,9,10,11,13],[2,4,5,8,9,12,14],[2,4,6,8,10,11,14],[2,4,7,9,11,13,14],[2,5,6,9,11,12,13],[2,5,7,8,10,12,13],[3,4,5,6,7,11,13],[3,4,7,8,11,12,14],[3,4,7,9,10,12,13],[3,5,6,8,12,13,14],[3,5,6,9,10,11,14],[4,5,6,7,8,9,10]]; G[3135]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3136: autom. group order 2, simple, residual B[3136]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,8,9,11,12],[1,3,7,8,9,13,14],[1,4,5,11,12,13,14],[1,4,6,8,10,12,13],[1,4,6,9,10,13,14],[1,5,7,8,10,11,14],[1,5,7,9,10,11,12],[2,3,6,7,10,12,14],[2,3,8,9,10,11,13],[2,4,5,8,9,12,14],[2,4,6,8,10,11,14],[2,4,7,9,11,12,13],[2,5,6,9,11,13,14],[2,5,7,8,10,12,13],[3,4,5,6,7,11,13],[3,4,7,8,12,13,14],[3,4,7,9,10,11,14],[3,5,6,8,11,12,14],[3,5,6,9,10,12,13],[4,5,6,7,8,9,10]]; G[3136]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3137: autom. group order 2, simple, residual B[3137]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,8,9,11,12],[1,3,7,8,9,13,14],[1,4,5,11,12,13,14],[1,4,6,8,10,13,14],[1,4,6,9,10,12,13],[1,5,7,8,10,11,12],[1,5,7,9,10,11,14],[2,3,6,7,10,12,14],[2,3,8,9,10,11,13],[2,4,5,8,9,12,14],[2,4,6,8,10,11,14],[2,4,7,9,11,12,13],[2,5,6,9,11,13,14],[2,5,7,8,10,12,13],[3,4,5,6,7,11,13],[3,4,7,8,12,13,14],[3,4,7,9,10,11,14],[3,5,6,8,11,12,14],[3,5,6,9,10,12,13],[4,5,6,7,8,9,10]]; G[3137]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3138: autom. group order 2, simple, residual B[3138]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,8,9,11,14],[1,3,7,8,9,12,13],[1,4,5,11,12,13,14],[1,4,6,8,10,11,14],[1,4,6,9,10,12,13],[1,5,7,8,10,12,13],[1,5,7,9,10,11,14],[2,3,6,7,10,11,13],[2,3,8,9,10,12,14],[2,4,5,8,9,11,13],[2,4,6,8,12,13,14],[2,4,7,9,10,11,12],[2,5,6,9,10,13,14],[2,5,7,8,11,12,14],[3,4,5,6,7,12,14],[3,4,7,8,10,13,14],[3,4,7,9,11,13,14],[3,5,6,8,10,11,12],[3,5,6,9,11,12,13],[4,5,6,7,8,9,10]]; G[3138]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3139: autom. group order 2, simple, residual B[3139]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,8,9,11,14],[1,3,7,8,9,12,13],[1,4,5,11,12,13,14],[1,4,6,8,10,11,14],[1,4,6,9,10,12,13],[1,5,7,8,10,12,13],[1,5,7,9,10,11,14],[2,3,6,7,10,11,13],[2,3,8,9,10,12,14],[2,4,5,8,9,11,13],[2,4,6,8,12,13,14],[2,4,7,9,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,11,12,14],[3,4,5,6,7,12,14],[3,4,7,8,10,11,12],[3,4,7,9,11,13,14],[3,5,6,8,10,13,14],[3,5,6,9,11,12,13],[4,5,6,7,8,9,10]]; G[3139]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3140: autom. group order 2, simple, residual B[3140]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,8,9,11,14],[1,3,7,8,9,12,13],[1,4,5,11,12,13,14],[1,4,6,8,10,12,13],[1,4,6,9,10,11,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,6,7,10,11,13],[2,3,8,9,10,12,14],[2,4,5,8,9,11,13],[2,4,6,8,12,13,14],[2,4,7,9,10,11,12],[2,5,6,9,10,13,14],[2,5,7,8,11,12,14],[3,4,5,6,7,12,14],[3,4,7,8,10,13,14],[3,4,7,9,11,13,14],[3,5,6,8,10,11,12],[3,5,6,9,11,12,13],[4,5,6,7,8,9,10]]; G[3140]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3141: autom. group order 2, simple, residual B[3141]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,8,9,11,14],[1,3,7,8,9,12,13],[1,4,5,11,12,13,14],[1,4,6,8,10,12,13],[1,4,6,9,10,11,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,6,7,10,11,13],[2,3,8,9,10,12,14],[2,4,5,8,9,11,13],[2,4,6,8,12,13,14],[2,4,7,9,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,11,12,14],[3,4,5,6,7,12,14],[3,4,7,8,10,11,12],[3,4,7,9,11,13,14],[3,5,6,8,10,13,14],[3,5,6,9,11,12,13],[4,5,6,7,8,9,10]]; G[3141]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3142: autom. group order 2, simple, residual B[3142]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,8,9,11,14],[1,3,7,8,9,12,13],[1,4,5,11,12,13,14],[1,4,6,8,10,12,13],[1,4,6,9,10,13,14],[1,5,7,8,10,11,14],[1,5,7,9,10,11,12],[2,3,6,7,10,11,13],[2,3,8,9,10,12,14],[2,4,5,8,9,11,13],[2,4,6,8,11,12,14],[2,4,7,9,10,11,14],[2,5,6,9,10,12,13],[2,5,7,8,12,13,14],[3,4,5,6,7,12,14],[3,4,7,8,10,13,14],[3,4,7,9,11,12,13],[3,5,6,8,10,11,12],[3,5,6,9,11,13,14],[4,5,6,7,8,9,10]]; G[3142]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3143: autom. group order 2, simple, residual B[3143]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,8,9,11,14],[1,3,7,8,9,12,13],[1,4,5,11,12,13,14],[1,4,6,8,10,13,14],[1,4,6,9,10,12,13],[1,5,7,8,10,11,12],[1,5,7,9,10,11,14],[2,3,6,7,10,11,13],[2,3,8,9,10,12,14],[2,4,5,8,9,11,13],[2,4,6,8,11,12,14],[2,4,7,9,10,11,14],[2,5,6,9,10,12,13],[2,5,7,8,12,13,14],[3,4,5,6,7,12,14],[3,4,7,8,10,13,14],[3,4,7,9,11,12,13],[3,5,6,8,10,11,12],[3,5,6,9,11,13,14],[4,5,6,7,8,9,10]]; G[3143]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3144: autom. group order 2, simple, residual B[3144]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,8,9,11,14],[1,3,7,8,9,12,13],[1,4,5,11,12,13,14],[1,4,6,8,10,12,13],[1,4,6,9,10,13,14],[1,5,7,8,10,11,14],[1,5,7,9,10,11,12],[2,3,6,7,10,11,13],[2,3,8,9,10,12,14],[2,4,5,8,9,11,13],[2,4,6,8,11,12,14],[2,4,7,9,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,12,13,14],[3,4,5,6,7,12,14],[3,4,7,8,10,11,14],[3,4,7,9,11,12,13],[3,5,6,8,10,12,13],[3,5,6,9,11,13,14],[4,5,6,7,8,9,10]]; G[3144]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3145: autom. group order 2, simple, residual B[3145]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,8,9,11,14],[1,3,7,8,9,12,13],[1,4,5,11,12,13,14],[1,4,6,8,10,13,14],[1,4,6,9,10,12,13],[1,5,7,8,10,11,12],[1,5,7,9,10,11,14],[2,3,6,7,10,11,13],[2,3,8,9,10,12,14],[2,4,5,8,9,11,13],[2,4,6,8,11,12,14],[2,4,7,9,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,12,13,14],[3,4,5,6,7,12,14],[3,4,7,8,10,11,14],[3,4,7,9,11,12,13],[3,5,6,8,10,12,13],[3,5,6,9,11,13,14],[4,5,6,7,8,9,10]]; G[3145]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3146: autom. group order 2, simple, residual B[3146]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,9,10,11,14],[1,3,7,9,10,12,13],[1,4,5,8,9,11,13],[1,4,6,8,10,11,12],[1,4,6,9,12,13,14],[1,5,7,8,10,13,14],[1,5,7,9,11,12,14],[2,3,6,7,9,11,13],[2,3,8,11,12,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,13,14],[2,4,7,8,9,10,14],[2,5,6,8,9,10,12],[2,5,7,9,10,11,12],[3,4,5,6,7,12,14],[3,4,7,8,9,11,14],[3,4,7,8,10,12,13],[3,5,6,8,9,12,13],[3,5,6,8,10,11,14],[4,5,6,7,10,11,13]]; G[3146]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3147: autom. group order 2, simple, residual B[3147]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,9,10,11,14],[1,3,7,9,10,12,13],[1,4,5,8,9,11,13],[1,4,6,8,10,11,14],[1,4,6,9,12,13,14],[1,5,7,8,10,12,13],[1,5,7,9,11,12,14],[2,3,6,7,9,11,13],[2,3,8,11,12,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,12,13],[2,4,7,8,9,10,14],[2,5,6,8,9,10,12],[2,5,7,9,10,11,14],[3,4,5,6,7,12,14],[3,4,7,8,9,11,12],[3,4,7,8,10,13,14],[3,5,6,8,9,13,14],[3,5,6,8,10,11,12],[4,5,6,7,10,11,13]]; G[3147]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3148: autom. group order 2, simple, residual B[3148]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,9,10,11,14],[1,3,7,9,10,12,13],[1,4,5,8,9,11,13],[1,4,6,8,10,11,12],[1,4,6,9,12,13,14],[1,5,7,8,10,13,14],[1,5,7,9,11,12,14],[2,3,6,7,9,11,13],[2,3,8,11,12,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,13,14],[2,4,7,8,9,10,14],[2,5,6,8,9,10,12],[2,5,7,9,10,11,12],[3,4,5,6,7,12,14],[3,4,7,8,9,12,13],[3,4,7,8,10,11,14],[3,5,6,8,9,11,14],[3,5,6,8,10,12,13],[4,5,6,7,10,11,13]]; G[3148]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3149: autom. group order 2, simple, residual B[3149]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,9,10,11,14],[1,3,7,9,10,12,13],[1,4,5,8,9,11,13],[1,4,6,8,10,11,14],[1,4,6,9,12,13,14],[1,5,7,8,10,12,13],[1,5,7,9,11,12,14],[2,3,6,7,9,11,13],[2,3,8,11,12,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,12,13],[2,4,7,8,9,10,14],[2,5,6,8,9,10,12],[2,5,7,9,10,11,14],[3,4,5,6,7,12,14],[3,4,7,8,9,13,14],[3,4,7,8,10,11,12],[3,5,6,8,9,11,12],[3,5,6,8,10,13,14],[4,5,6,7,10,11,13]]; G[3149]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3150: autom. group order 2, simple, residual B[3150]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,9,10,11,14],[1,3,7,9,10,12,13],[1,4,5,8,9,11,13],[1,4,6,8,10,12,13],[1,4,6,9,11,12,14],[1,5,7,8,10,11,14],[1,5,7,9,12,13,14],[2,3,6,7,9,11,13],[2,3,8,11,12,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,13,14],[2,4,7,8,9,10,12],[2,5,6,8,9,10,14],[2,5,7,9,10,11,12],[3,4,5,6,7,12,14],[3,4,7,8,9,11,14],[3,4,7,8,10,13,14],[3,5,6,8,9,12,13],[3,5,6,8,10,11,12],[4,5,6,7,10,11,13]]; G[3150]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3151: autom. group order 2, simple, residual B[3151]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,9,10,11,14],[1,3,7,9,10,12,13],[1,4,5,8,9,11,13],[1,4,6,8,10,13,14],[1,4,6,9,11,12,14],[1,5,7,8,10,11,12],[1,5,7,9,12,13,14],[2,3,6,7,9,11,13],[2,3,8,11,12,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,12,13],[2,4,7,8,9,10,12],[2,5,6,8,9,10,14],[2,5,7,9,10,11,14],[3,4,5,6,7,12,14],[3,4,7,8,9,11,14],[3,4,7,8,10,13,14],[3,5,6,8,9,12,13],[3,5,6,8,10,11,12],[4,5,6,7,10,11,13]]; G[3151]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3152: autom. group order 2, simple, residual B[3152]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,9,10,11,14],[1,3,7,9,10,12,13],[1,4,5,8,9,11,13],[1,4,6,8,10,12,13],[1,4,6,9,11,12,14],[1,5,7,8,10,11,14],[1,5,7,9,12,13,14],[2,3,6,7,9,11,13],[2,3,8,11,12,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,13,14],[2,4,7,8,9,10,12],[2,5,6,8,9,10,14],[2,5,7,9,10,11,12],[3,4,5,6,7,12,14],[3,4,7,8,9,13,14],[3,4,7,8,10,11,14],[3,5,6,8,9,11,12],[3,5,6,8,10,12,13],[4,5,6,7,10,11,13]]; G[3152]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3153: autom. group order 2, simple, residual B[3153]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,9,10,11,14],[1,3,7,9,10,12,13],[1,4,5,8,9,11,13],[1,4,6,8,10,13,14],[1,4,6,9,11,12,14],[1,5,7,8,10,11,12],[1,5,7,9,12,13,14],[2,3,6,7,9,11,13],[2,3,8,11,12,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,12,13],[2,4,7,8,9,10,12],[2,5,6,8,9,10,14],[2,5,7,9,10,11,14],[3,4,5,6,7,12,14],[3,4,7,8,9,13,14],[3,4,7,8,10,11,14],[3,5,6,8,9,11,12],[3,5,6,8,10,12,13],[4,5,6,7,10,11,13]]; G[3153]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3154: autom. group order 2, simple, residual B[3154]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,9,10,11,14],[1,3,7,9,10,12,13],[1,4,5,8,9,11,13],[1,4,6,8,10,12,13],[1,4,6,9,12,13,14],[1,5,7,8,10,11,14],[1,5,7,9,11,12,14],[2,3,6,7,9,11,13],[2,3,8,11,12,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,9,10,14],[2,5,6,8,9,10,12],[2,5,7,9,10,12,13],[3,4,5,6,7,12,14],[3,4,7,8,9,11,12],[3,4,7,8,10,13,14],[3,5,6,8,9,13,14],[3,5,6,8,10,11,12],[4,5,6,7,10,11,13]]; G[3154]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3155: autom. group order 2, simple, residual B[3155]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,9,10,11,14],[1,3,7,9,10,12,13],[1,4,5,8,9,11,13],[1,4,6,8,10,13,14],[1,4,6,9,12,13,14],[1,5,7,8,10,11,12],[1,5,7,9,11,12,14],[2,3,6,7,9,11,13],[2,3,8,11,12,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,12],[2,4,7,8,9,10,14],[2,5,6,8,9,10,12],[2,5,7,9,10,13,14],[3,4,5,6,7,12,14],[3,4,7,8,9,11,14],[3,4,7,8,10,12,13],[3,5,6,8,9,12,13],[3,5,6,8,10,11,14],[4,5,6,7,10,11,13]]; G[3155]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3156: autom. group order 2, simple, residual B[3156]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,9,10,11,14],[1,3,7,9,10,12,13],[1,4,5,8,9,11,13],[1,4,6,8,10,12,13],[1,4,6,9,12,13,14],[1,5,7,8,10,11,14],[1,5,7,9,11,12,14],[2,3,6,7,9,11,13],[2,3,8,11,12,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,9,10,14],[2,5,6,8,9,10,12],[2,5,7,9,10,12,13],[3,4,5,6,7,12,14],[3,4,7,8,9,13,14],[3,4,7,8,10,11,12],[3,5,6,8,9,11,12],[3,5,6,8,10,13,14],[4,5,6,7,10,11,13]]; G[3156]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3157: autom. group order 2, simple, residual B[3157]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,9,10,11,14],[1,3,7,9,10,12,13],[1,4,5,8,9,11,13],[1,4,6,8,10,13,14],[1,4,6,9,12,13,14],[1,5,7,8,10,11,12],[1,5,7,9,11,12,14],[2,3,6,7,9,11,13],[2,3,8,11,12,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,12],[2,4,7,8,9,10,14],[2,5,6,8,9,10,12],[2,5,7,9,10,13,14],[3,4,5,6,7,12,14],[3,4,7,8,9,12,13],[3,4,7,8,10,11,14],[3,5,6,8,9,11,14],[3,5,6,8,10,12,13],[4,5,6,7,10,11,13]]; G[3157]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3158: autom. group order 2, simple, residual B[3158]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,9,10,13,14],[1,3,7,9,10,11,12],[1,4,5,8,9,11,13],[1,4,6,8,10,11,14],[1,4,6,9,12,13,14],[1,5,7,8,10,12,13],[1,5,7,9,11,12,14],[2,3,6,7,9,11,13],[2,3,8,11,12,13,14],[2,4,5,11,12,13,14],[2,4,6,8,9,10,12],[2,4,7,9,10,11,14],[2,5,6,9,10,12,13],[2,5,7,8,9,10,14],[3,4,5,6,7,12,14],[3,4,7,8,9,12,13],[3,4,7,8,10,13,14],[3,5,6,8,9,11,14],[3,5,6,8,10,11,12],[4,5,6,7,10,11,13]]; G[3158]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3159: autom. group order 2, simple, residual B[3159]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,9,10,13,14],[1,3,7,9,10,11,12],[1,4,5,8,9,11,13],[1,4,6,8,10,11,14],[1,4,6,9,12,13,14],[1,5,7,8,10,12,13],[1,5,7,9,11,12,14],[2,3,6,7,9,11,13],[2,3,8,11,12,13,14],[2,4,5,11,12,13,14],[2,4,6,8,9,10,12],[2,4,7,9,10,11,14],[2,5,6,9,10,12,13],[2,5,7,8,9,10,14],[3,4,5,6,7,12,14],[3,4,7,8,9,13,14],[3,4,7,8,10,12,13],[3,5,6,8,9,11,12],[3,5,6,8,10,11,14],[4,5,6,7,10,11,13]]; G[3159]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3160: autom. group order 2, simple, residual B[3160]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,9,10,13,14],[1,3,7,9,10,11,12],[1,4,5,8,9,11,13],[1,4,6,8,10,11,14],[1,4,6,9,12,13,14],[1,5,7,8,10,12,13],[1,5,7,9,11,12,14],[2,3,6,7,9,11,13],[2,3,8,11,12,13,14],[2,4,5,11,12,13,14],[2,4,6,8,9,10,12],[2,4,7,9,10,12,13],[2,5,6,9,10,11,14],[2,5,7,8,9,10,14],[3,4,5,6,7,12,14],[3,4,7,8,9,11,14],[3,4,7,8,10,13,14],[3,5,6,8,9,12,13],[3,5,6,8,10,11,12],[4,5,6,7,10,11,13]]; G[3160]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3161: autom. group order 2, simple, residual B[3161]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,9,10,13,14],[1,3,7,9,10,11,12],[1,4,5,8,9,11,13],[1,4,6,8,10,11,14],[1,4,6,9,12,13,14],[1,5,7,8,10,12,13],[1,5,7,9,11,12,14],[2,3,6,7,9,11,13],[2,3,8,11,12,13,14],[2,4,5,11,12,13,14],[2,4,6,8,9,10,12],[2,4,7,9,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,9,10,14],[3,4,5,6,7,12,14],[3,4,7,8,9,11,14],[3,4,7,8,10,12,13],[3,5,6,8,9,12,13],[3,5,6,8,10,11,14],[4,5,6,7,10,11,13]]; G[3161]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3162: autom. group order 2, simple, residual B[3162]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,9,10,13,14],[1,3,7,9,10,11,12],[1,4,5,8,9,11,13],[1,4,6,8,10,11,14],[1,4,6,9,12,13,14],[1,5,7,8,10,12,13],[1,5,7,9,11,12,14],[2,3,6,7,9,11,13],[2,3,8,11,12,13,14],[2,4,5,11,12,13,14],[2,4,6,8,9,10,12],[2,4,7,9,10,12,13],[2,5,6,9,10,11,14],[2,5,7,8,9,10,14],[3,4,5,6,7,12,14],[3,4,7,8,9,13,14],[3,4,7,8,10,11,14],[3,5,6,8,9,11,12],[3,5,6,8,10,12,13],[4,5,6,7,10,11,13]]; G[3162]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3163: autom. group order 2, simple, residual B[3163]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,9,10,13,14],[1,3,7,9,10,11,12],[1,4,5,8,9,11,13],[1,4,6,8,10,11,14],[1,4,6,9,12,13,14],[1,5,7,8,10,12,13],[1,5,7,9,11,12,14],[2,3,6,7,9,11,13],[2,3,8,11,12,13,14],[2,4,5,11,12,13,14],[2,4,6,8,9,10,12],[2,4,7,9,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,9,10,14],[3,4,5,6,7,12,14],[3,4,7,8,9,12,13],[3,4,7,8,10,11,14],[3,5,6,8,9,11,14],[3,5,6,8,10,12,13],[4,5,6,7,10,11,13]]; G[3163]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3164: autom. group order 2, simple, residual B[3164]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,9,10,13,14],[1,3,7,9,10,11,12],[1,4,5,8,9,11,13],[1,4,6,8,10,12,13],[1,4,6,9,11,12,14],[1,5,7,8,10,11,14],[1,5,7,9,12,13,14],[2,3,6,7,9,11,13],[2,3,8,11,12,13,14],[2,4,5,11,12,13,14],[2,4,6,8,9,10,14],[2,4,7,9,10,11,14],[2,5,6,9,10,12,13],[2,5,7,8,9,10,12],[3,4,5,6,7,12,14],[3,4,7,8,9,12,13],[3,4,7,8,10,13,14],[3,5,6,8,9,11,14],[3,5,6,8,10,11,12],[4,5,6,7,10,11,13]]; G[3164]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3165: autom. group order 2, simple, residual B[3165]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,9,10,13,14],[1,3,7,9,10,11,12],[1,4,5,8,9,11,13],[1,4,6,8,10,12,13],[1,4,6,9,11,12,14],[1,5,7,8,10,11,14],[1,5,7,9,12,13,14],[2,3,6,7,9,11,13],[2,3,8,11,12,13,14],[2,4,5,11,12,13,14],[2,4,6,8,9,10,14],[2,4,7,9,10,11,14],[2,5,6,9,10,12,13],[2,5,7,8,9,10,12],[3,4,5,6,7,12,14],[3,4,7,8,9,13,14],[3,4,7,8,10,12,13],[3,5,6,8,9,11,12],[3,5,6,8,10,11,14],[4,5,6,7,10,11,13]]; G[3165]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3166: autom. group order 2, simple, residual B[3166]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,9,10,13,14],[1,3,7,9,10,11,12],[1,4,5,8,9,11,13],[1,4,6,8,10,12,13],[1,4,6,9,11,12,14],[1,5,7,8,10,11,14],[1,5,7,9,12,13,14],[2,3,6,7,9,11,13],[2,3,8,11,12,13,14],[2,4,5,11,12,13,14],[2,4,6,8,9,10,14],[2,4,7,9,10,12,13],[2,5,6,9,10,11,14],[2,5,7,8,9,10,12],[3,4,5,6,7,12,14],[3,4,7,8,9,11,14],[3,4,7,8,10,13,14],[3,5,6,8,9,12,13],[3,5,6,8,10,11,12],[4,5,6,7,10,11,13]]; G[3166]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3167: autom. group order 2, simple, residual B[3167]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,9,10,13,14],[1,3,7,9,10,11,12],[1,4,5,8,9,11,13],[1,4,6,8,10,12,13],[1,4,6,9,11,12,14],[1,5,7,8,10,11,14],[1,5,7,9,12,13,14],[2,3,6,7,9,11,13],[2,3,8,11,12,13,14],[2,4,5,11,12,13,14],[2,4,6,8,9,10,14],[2,4,7,9,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,9,10,12],[3,4,5,6,7,12,14],[3,4,7,8,9,11,14],[3,4,7,8,10,12,13],[3,5,6,8,9,12,13],[3,5,6,8,10,11,14],[4,5,6,7,10,11,13]]; G[3167]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3168: autom. group order 2, simple, residual B[3168]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,9,10,13,14],[1,3,7,9,10,11,12],[1,4,5,8,9,11,13],[1,4,6,8,10,12,13],[1,4,6,9,11,12,14],[1,5,7,8,10,11,14],[1,5,7,9,12,13,14],[2,3,6,7,9,11,13],[2,3,8,11,12,13,14],[2,4,5,11,12,13,14],[2,4,6,8,9,10,14],[2,4,7,9,10,12,13],[2,5,6,9,10,11,14],[2,5,7,8,9,10,12],[3,4,5,6,7,12,14],[3,4,7,8,9,13,14],[3,4,7,8,10,11,14],[3,5,6,8,9,11,12],[3,5,6,8,10,12,13],[4,5,6,7,10,11,13]]; G[3168]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3169: autom. group order 2, simple, residual B[3169]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,9,10,13,14],[1,3,7,9,10,11,12],[1,4,5,8,9,11,13],[1,4,6,8,10,12,13],[1,4,6,9,11,12,14],[1,5,7,8,10,11,14],[1,5,7,9,12,13,14],[2,3,6,7,9,11,13],[2,3,8,11,12,13,14],[2,4,5,11,12,13,14],[2,4,6,8,9,10,14],[2,4,7,9,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,9,10,12],[3,4,5,6,7,12,14],[3,4,7,8,9,12,13],[3,4,7,8,10,11,14],[3,5,6,8,9,11,14],[3,5,6,8,10,12,13],[4,5,6,7,10,11,13]]; G[3169]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3170: autom. group order 2, simple B[3170]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,10,12,13,14],[1,3,7,8,9,10,11],[1,4,5,8,9,12,13],[1,4,6,8,10,11,14],[1,4,6,9,11,12,13],[1,5,7,8,10,12,14],[1,5,7,9,11,13,14],[2,3,6,8,9,12,14],[2,3,8,9,11,13,14],[2,4,5,7,11,12,14],[2,4,6,7,8,10,13],[2,4,7,9,10,13,14],[2,5,6,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,6,11,13,14],[3,4,7,8,11,12,14],[3,4,7,9,10,12,13],[3,5,6,7,8,12,13],[3,5,6,7,9,10,11],[4,5,6,8,9,10,14]]; G[3170]:=Group([(1,11)(3,12)(4,10)(6,8)(7,13)]); # Design 3171: autom. group order 2, simple, residual B[3171]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,9,11,13,14],[1,3,6,7,8,12,14],[1,3,7,9,10,11,12],[1,4,5,8,11,12,14],[1,4,6,7,9,10,14],[1,4,6,9,11,12,13],[1,5,7,8,11,13,14],[1,5,8,9,10,12,13],[2,3,6,8,9,11,14],[2,3,7,8,11,12,13],[2,4,5,7,9,11,13],[2,4,6,8,10,12,13],[2,4,7,8,9,12,14],[2,5,6,10,11,12,14],[2,5,7,9,10,12,14],[3,4,5,6,12,13,14],[3,4,7,10,11,13,14],[3,4,8,9,10,13,14],[3,5,6,7,9,12,13],[3,5,6,8,9,10,11],[4,5,6,7,8,10,11]]; G[3171]:=Group([(1,13)(2,14)(5,10)(6,11)]); # Design 3172: autom. group order 2, simple, residual B[3172]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,7,11,13,14],[1,3,7,8,10,11,12],[1,4,5,9,11,12,13],[1,4,6,7,9,12,14],[1,4,6,8,9,10,13],[1,5,7,9,10,11,14],[1,5,8,10,12,13,14],[2,3,6,9,10,13,14],[2,3,8,9,11,12,14],[2,4,5,7,12,13,14],[2,4,6,10,11,12,13],[2,4,7,9,10,11,14],[2,5,6,7,8,10,12],[2,5,7,8,9,11,13],[3,4,5,6,8,11,14],[3,4,7,8,9,10,13],[3,4,7,8,12,13,14],[3,5,6,7,9,10,12],[3,5,6,9,11,12,13],[4,5,6,8,10,11,14]]; G[3172]:=Group([(1,2)(4,5)(6,8)(7,9)(11,14)(12,13)]); # Design 3173: autom. group order 2, simple, residual B[3173]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,11],[1,2,6,8,12,13,14],[1,3,6,7,9,10,13],[1,3,7,9,11,12,14],[1,4,5,8,9,11,13],[1,4,6,8,11,13,14],[1,4,6,9,10,12,14],[1,5,7,8,10,12,14],[1,5,7,9,11,12,13],[2,3,6,9,11,12,13],[2,3,7,8,11,13,14],[2,4,5,7,11,12,14],[2,4,6,7,8,9,12],[2,4,7,9,10,13,14],[2,5,6,9,10,11,14],[2,5,8,9,10,12,13],[3,4,5,6,12,13,14],[3,4,7,8,10,12,13],[3,4,8,9,10,11,14],[3,5,6,7,8,9,14],[3,5,6,8,10,11,12],[4,5,6,7,10,11,13]]; G[3173]:=Group([(2,3)(4,5)(6,7)(8,9)(11,13)(12,14)]); # Design 3174: autom. group order 2, simple, residual B[3174]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,7,10,12,14],[1,3,7,8,11,13,14],[1,4,5,9,12,13,14],[1,4,6,8,9,10,13],[1,4,6,10,11,12,13],[1,5,7,8,9,11,12],[1,5,7,9,10,11,14],[2,3,6,9,11,12,14],[2,3,8,9,10,11,13],[2,4,5,7,11,12,13],[2,4,6,7,9,13,14],[2,4,7,9,10,11,14],[2,5,6,7,8,10,12],[2,5,8,10,12,13,14],[3,4,5,6,8,11,14],[3,4,7,8,9,10,12],[3,4,7,8,12,13,14],[3,5,6,7,9,10,13],[3,5,6,9,11,12,13],[4,5,6,8,10,11,14]]; G[3174]:=Group([(1,2)(4,5)(6,8)(7,9)(11,14)(12,13)]); # Design 3175: autom. group order 2, simple, residual B[3175]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,13],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,7,9,11,14],[1,4,6,8,10,11,14],[1,4,6,9,12,13,14],[1,5,7,8,9,12,14],[1,5,7,8,10,12,13],[2,3,6,7,9,12,14],[2,3,7,8,11,12,14],[2,4,5,11,12,13,14],[2,4,6,7,8,9,10],[2,4,8,9,10,13,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,6,8,12,13],[3,4,7,8,11,13,14],[3,4,7,9,10,12,13],[3,5,6,8,9,11,13],[3,5,6,9,10,11,14],[4,5,6,7,10,11,12]]; G[3175]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3176: autom. group order 2, simple, residual B[3176]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,7,9,12,13],[1,4,6,8,10,12,13],[1,4,6,9,11,13,14],[1,5,7,8,9,12,14],[1,5,7,8,10,11,14],[2,3,6,7,9,12,14],[2,3,7,8,11,12,13],[2,4,5,11,12,13,14],[2,4,6,7,8,9,10],[2,4,8,9,10,13,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,6,8,11,14],[3,4,7,8,12,13,14],[3,4,7,9,10,11,14],[3,5,6,8,9,11,13],[3,5,6,9,10,12,13],[4,5,6,7,10,11,12]]; G[3176]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3177: autom. group order 2, simple, residual B[3177]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,7,9,11,14],[1,4,6,8,11,13,14],[1,4,6,9,10,12,13],[1,5,7,8,9,12,13],[1,5,7,8,10,12,14],[2,3,6,7,9,12,14],[2,3,7,8,11,12,13],[2,4,5,11,12,13,14],[2,4,6,7,8,9,10],[2,4,8,9,10,13,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,6,8,12,13],[3,4,7,8,10,11,14],[3,4,7,9,12,13,14],[3,5,6,8,9,11,14],[3,5,6,9,10,11,13],[4,5,6,7,10,11,12]]; G[3177]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3178: autom. group order 2, simple, residual B[3178]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,13],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,7,9,12,14],[1,4,6,8,12,13,14],[1,4,6,9,10,11,14],[1,5,7,8,9,12,13],[1,5,7,8,10,11,14],[2,3,6,7,9,12,14],[2,3,7,8,11,12,14],[2,4,5,11,12,13,14],[2,4,6,7,8,9,10],[2,4,8,9,10,13,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,6,8,11,13],[3,4,7,8,10,12,13],[3,4,7,9,11,13,14],[3,5,6,8,9,11,14],[3,5,6,9,10,12,13],[4,5,6,7,10,11,12]]; G[3178]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3179: autom. group order 2, simple, residual B[3179]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,7,11,12,13],[1,4,6,8,9,12,14],[1,4,6,9,10,11,14],[1,5,7,8,9,10,11],[1,5,7,8,10,12,14],[2,3,6,7,8,11,14],[2,3,7,9,10,12,14],[2,4,5,8,9,13,14],[2,4,6,7,8,10,12],[2,4,8,10,11,13,14],[2,5,6,9,11,12,13],[2,5,7,9,11,12,14],[3,4,5,6,11,12,14],[3,4,7,8,9,12,13],[3,4,7,9,10,11,13],[3,5,6,8,9,10,11],[3,5,6,8,10,12,13],[4,5,6,7,10,13,14]]; G[3179]:=Group([(1,3)(6,7)(13,14)]); # Design 3180: autom. group order 2, simple, residual B[3180]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,7,11,12,14],[1,4,6,8,9,12,14],[1,4,6,9,10,11,14],[1,5,7,8,9,10,11],[1,5,7,8,10,12,13],[2,3,6,7,8,11,14],[2,3,7,9,10,12,14],[2,4,5,8,9,13,14],[2,4,6,7,8,10,12],[2,4,8,10,11,13,14],[2,5,6,9,11,12,13],[2,5,7,9,11,12,14],[3,4,5,6,11,12,13],[3,4,7,8,9,12,13],[3,4,7,9,10,11,13],[3,5,6,8,9,10,11],[3,5,6,8,10,12,14],[4,5,6,7,10,13,14]]; G[3180]:=Group([(1,3)(6,7)(13,14)]); # Design 3181: autom. group order 2, simple, residual B[3181]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,7,11,12,13],[1,4,6,8,9,12,13],[1,4,6,9,10,11,14],[1,5,7,8,9,10,11],[1,5,7,8,10,12,14],[2,3,6,7,8,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,13,14],[2,4,6,7,8,10,12],[2,4,8,10,11,13,14],[2,5,6,9,11,12,13],[2,5,7,9,11,12,14],[3,4,5,6,11,12,14],[3,4,7,8,9,12,14],[3,4,7,9,10,11,13],[3,5,6,8,9,10,11],[3,5,6,8,10,12,13],[4,5,6,7,10,13,14]]; G[3181]:=Group([(1,3)(6,7)(13,14)]); # Design 3182: autom. group order 2, simple, residual B[3182]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,7,11,12,13],[1,4,6,8,9,12,14],[1,4,6,9,10,11,13],[1,5,7,8,9,10,11],[1,5,7,8,10,12,14],[2,3,6,7,8,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,13,14],[2,4,6,7,8,10,12],[2,4,8,10,11,13,14],[2,5,6,9,11,12,13],[2,5,7,9,11,12,14],[3,4,5,6,11,12,14],[3,4,7,8,9,12,13],[3,4,7,9,10,11,14],[3,5,6,8,9,10,11],[3,5,6,8,10,12,13],[4,5,6,7,10,13,14]]; G[3182]:=Group([(1,3)(6,7)(13,14)]); # Design 3183: autom. group order 2, simple, residual B[3183]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,7,11,12,14],[1,4,6,8,9,12,13],[1,4,6,9,10,11,14],[1,5,7,8,9,10,11],[1,5,7,8,10,12,13],[2,3,6,7,8,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,13,14],[2,4,6,7,8,10,12],[2,4,8,10,11,13,14],[2,5,6,9,11,12,13],[2,5,7,9,11,12,14],[3,4,5,6,11,12,13],[3,4,7,8,9,12,14],[3,4,7,9,10,11,13],[3,5,6,8,9,10,11],[3,5,6,8,10,12,14],[4,5,6,7,10,13,14]]; G[3183]:=Group([(1,3)(6,7)(13,14)]); # Design 3184: autom. group order 2, simple, residual B[3184]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,7,11,12,14],[1,4,6,8,9,12,14],[1,4,6,9,10,11,13],[1,5,7,8,9,10,11],[1,5,7,8,10,12,13],[2,3,6,7,8,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,13,14],[2,4,6,7,8,10,12],[2,4,8,10,11,13,14],[2,5,6,9,11,12,13],[2,5,7,9,11,12,14],[3,4,5,6,11,12,13],[3,4,7,8,9,12,13],[3,4,7,9,10,11,14],[3,5,6,8,9,10,11],[3,5,6,8,10,12,14],[4,5,6,7,10,13,14]]; G[3184]:=Group([(1,3)(6,7)(13,14)]); # Design 3185: autom. group order 2, simple, residual B[3185]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,7,11,13,14],[1,4,6,8,9,10,13],[1,4,6,8,10,12,14],[1,5,7,8,9,12,13],[1,5,7,9,10,12,14],[2,3,6,7,8,12,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,12],[2,4,6,7,9,13,14],[2,4,9,11,12,13,14],[2,5,6,8,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,12,13,14],[3,4,7,8,9,10,14],[3,4,7,8,10,11,13],[3,5,6,8,9,11,14],[3,5,6,9,10,11,13],[4,5,6,7,10,11,12]]; G[3185]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 3186: autom. group order 2, simple, residual B[3186]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,7,11,13,14],[1,4,6,8,9,10,13],[1,4,6,8,10,12,14],[1,5,7,8,9,12,14],[1,5,7,9,10,12,13],[2,3,6,7,8,12,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,12],[2,4,6,7,9,13,14],[2,4,9,11,12,13,14],[2,5,6,8,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,12,13,14],[3,4,7,8,9,10,14],[3,4,7,8,10,11,13],[3,5,6,8,9,11,13],[3,5,6,9,10,11,14],[4,5,6,7,10,11,12]]; G[3186]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 3187: autom. group order 2, simple, residual B[3187]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,13],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,7,12,13,14],[1,4,6,8,9,10,14],[1,4,6,8,10,12,14],[1,5,7,8,9,11,14],[1,5,7,9,10,12,13],[2,3,6,7,8,12,14],[2,3,7,9,10,12,14],[2,4,5,8,9,11,12],[2,4,6,7,9,13,14],[2,4,9,11,12,13,14],[2,5,6,8,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,11,13,14],[3,4,7,8,9,10,13],[3,4,7,8,10,11,13],[3,5,6,8,9,12,13],[3,5,6,9,10,11,14],[4,5,6,7,10,11,12]]; G[3187]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 3188: autom. group order 2, simple, residual B[3188]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,7,12,13,14],[1,4,6,8,9,10,14],[1,4,6,8,10,12,13],[1,5,7,8,9,11,13],[1,5,7,9,10,12,14],[2,3,6,7,8,12,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,12],[2,4,6,7,9,13,14],[2,4,9,11,12,13,14],[2,5,6,8,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,11,13,14],[3,4,7,8,9,10,13],[3,4,7,8,10,11,14],[3,5,6,8,9,12,14],[3,5,6,9,10,11,13],[4,5,6,7,10,11,12]]; G[3188]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 3189: autom. group order 2, simple, residual B[3189]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,13],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,7,12,13,14],[1,4,6,8,9,10,14],[1,4,6,8,10,12,14],[1,5,7,8,9,12,13],[1,5,7,9,10,11,14],[2,3,6,7,8,12,14],[2,3,7,9,10,12,14],[2,4,5,8,9,11,12],[2,4,6,7,9,13,14],[2,4,9,11,12,13,14],[2,5,6,8,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,11,13,14],[3,4,7,8,9,10,13],[3,4,7,8,10,11,13],[3,5,6,8,9,11,14],[3,5,6,9,10,12,13],[4,5,6,7,10,11,12]]; G[3189]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 3190: autom. group order 2, simple, residual B[3190]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,7,12,13,14],[1,4,6,8,9,10,14],[1,4,6,8,10,12,13],[1,5,7,8,9,12,14],[1,5,7,9,10,11,13],[2,3,6,7,8,12,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,12],[2,4,6,7,9,13,14],[2,4,9,11,12,13,14],[2,5,6,8,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,11,13,14],[3,4,7,8,9,10,13],[3,4,7,8,10,11,14],[3,5,6,8,9,11,13],[3,5,6,9,10,12,14],[4,5,6,7,10,11,12]]; G[3190]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 3191: autom. group order 2, simple, residual B[3191]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,7,11,13,14],[1,4,6,8,9,10,13],[1,4,6,8,10,11,14],[1,5,7,8,9,12,13],[1,5,7,9,10,12,14],[2,3,6,7,8,12,14],[2,3,7,9,10,11,13],[2,4,5,8,9,11,12],[2,4,6,7,9,13,14],[2,4,9,11,12,13,14],[2,5,6,8,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,12,13,14],[3,4,7,8,9,10,14],[3,4,7,8,10,12,13],[3,5,6,8,9,11,14],[3,5,6,9,10,11,13],[4,5,6,7,10,11,12]]; G[3191]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 3192: autom. group order 2, simple, residual B[3192]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,7,11,13,14],[1,4,6,8,9,10,13],[1,4,6,8,10,11,14],[1,5,7,8,9,12,14],[1,5,7,9,10,12,13],[2,3,6,7,8,12,14],[2,3,7,9,10,11,13],[2,4,5,8,9,11,12],[2,4,6,7,9,13,14],[2,4,9,11,12,13,14],[2,5,6,8,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,12,13,14],[3,4,7,8,9,10,14],[3,4,7,8,10,12,13],[3,5,6,8,9,11,13],[3,5,6,9,10,11,14],[4,5,6,7,10,11,12]]; G[3192]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 3193: autom. group order 2, simple, residual B[3193]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,7,12,13,14],[1,4,6,8,9,10,14],[1,4,6,8,10,11,14],[1,5,7,8,9,11,13],[1,5,7,9,10,12,14],[2,3,6,7,8,12,14],[2,3,7,9,10,11,14],[2,4,5,8,9,11,12],[2,4,6,7,9,13,14],[2,4,9,11,12,13,14],[2,5,6,8,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,11,13,14],[3,4,7,8,9,10,13],[3,4,7,8,10,12,13],[3,5,6,8,9,12,14],[3,5,6,9,10,11,13],[4,5,6,7,10,11,12]]; G[3193]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 3194: autom. group order 2, simple, residual B[3194]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,7,12,13,14],[1,4,6,8,9,10,14],[1,4,6,8,10,11,13],[1,5,7,8,9,11,14],[1,5,7,9,10,12,13],[2,3,6,7,8,12,14],[2,3,7,9,10,11,13],[2,4,5,8,9,11,12],[2,4,6,7,9,13,14],[2,4,9,11,12,13,14],[2,5,6,8,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,11,13,14],[3,4,7,8,9,10,13],[3,4,7,8,10,12,14],[3,5,6,8,9,12,13],[3,5,6,9,10,11,14],[4,5,6,7,10,11,12]]; G[3194]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 3195: autom. group order 2, simple, residual B[3195]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,7,12,13,14],[1,4,6,8,9,10,14],[1,4,6,8,10,11,14],[1,5,7,8,9,12,14],[1,5,7,9,10,11,13],[2,3,6,7,8,12,14],[2,3,7,9,10,11,14],[2,4,5,8,9,11,12],[2,4,6,7,9,13,14],[2,4,9,11,12,13,14],[2,5,6,8,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,11,13,14],[3,4,7,8,9,10,13],[3,4,7,8,10,12,13],[3,5,6,8,9,11,13],[3,5,6,9,10,12,14],[4,5,6,7,10,11,12]]; G[3195]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 3196: autom. group order 2, simple, residual B[3196]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,7,12,13,14],[1,4,6,8,9,10,14],[1,4,6,8,10,11,13],[1,5,7,8,9,12,13],[1,5,7,9,10,11,14],[2,3,6,7,8,12,14],[2,3,7,9,10,11,13],[2,4,5,8,9,11,12],[2,4,6,7,9,13,14],[2,4,9,11,12,13,14],[2,5,6,8,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,11,13,14],[3,4,7,8,9,10,13],[3,4,7,8,10,12,14],[3,5,6,8,9,11,14],[3,5,6,9,10,12,13],[4,5,6,7,10,11,12]]; G[3196]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 3197: autom. group order 2, simple, residual B[3197]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,7,8,11,14],[1,4,6,8,10,12,13],[1,4,6,9,11,13,14],[1,5,7,8,9,12,14],[1,5,7,9,10,12,13],[2,3,6,7,9,12,14],[2,3,7,8,11,12,13],[2,4,5,11,12,13,14],[2,4,6,7,8,9,10],[2,4,8,9,10,13,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,6,9,12,13],[3,4,7,8,12,13,14],[3,4,7,9,10,11,14],[3,5,6,8,9,11,13],[3,5,6,8,10,11,14],[4,5,6,7,10,11,12]]; G[3197]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3198: autom. group order 2, simple, residual B[3198]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,13],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,7,8,12,13],[1,4,6,8,10,11,14],[1,4,6,9,12,13,14],[1,5,7,8,9,12,14],[1,5,7,9,10,11,14],[2,3,6,7,9,12,14],[2,3,7,8,11,12,14],[2,4,5,11,12,13,14],[2,4,6,7,8,9,10],[2,4,8,9,10,13,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,6,9,11,14],[3,4,7,8,11,13,14],[3,4,7,9,10,12,13],[3,5,6,8,9,11,13],[3,5,6,8,10,12,13],[4,5,6,7,10,11,12]]; G[3198]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3199: autom. group order 2, simple, residual B[3199]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,13],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,7,8,11,14],[1,4,6,8,12,13,14],[1,4,6,9,10,11,14],[1,5,7,8,9,12,13],[1,5,7,9,10,12,14],[2,3,6,7,9,12,14],[2,3,7,8,11,12,14],[2,4,5,11,12,13,14],[2,4,6,7,8,9,10],[2,4,8,9,10,13,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,6,9,12,13],[3,4,7,8,10,12,13],[3,4,7,9,11,13,14],[3,5,6,8,9,11,14],[3,5,6,8,10,11,13],[4,5,6,7,10,11,12]]; G[3199]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3200: autom. group order 2, simple, residual B[3200]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,7,8,12,14],[1,4,6,8,11,13,14],[1,4,6,9,10,12,13],[1,5,7,8,9,12,13],[1,5,7,9,10,11,14],[2,3,6,7,9,12,14],[2,3,7,8,11,12,13],[2,4,5,11,12,13,14],[2,4,6,7,8,9,10],[2,4,8,9,10,13,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,6,9,11,13],[3,4,7,8,10,11,14],[3,4,7,9,12,13,14],[3,5,6,8,9,11,14],[3,5,6,8,10,12,13],[4,5,6,7,10,11,12]]; G[3200]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3201: autom. group order 2, simple, residual B[3201]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,8,9,12],[1,3,8,9,11,13,14],[1,4,5,7,11,12,13],[1,4,6,8,12,13,14],[1,4,6,9,10,11,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,14],[2,3,6,7,9,11,14],[2,3,7,8,10,12,14],[2,4,5,8,9,13,14],[2,4,6,7,10,13,14],[2,4,8,9,10,11,12],[2,5,6,8,11,12,14],[2,5,7,9,11,12,13],[3,4,5,6,11,12,14],[3,4,7,8,10,11,13],[3,4,7,9,12,13,14],[3,5,6,8,10,12,13],[3,5,6,9,10,11,13],[4,5,6,7,8,9,10]]; G[3201]:=Group([(1,3)(6,7)(8,9)(13,14)]); # Design 3202: autom. group order 2, simple, residual B[3202]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,8,9,12],[1,3,8,9,11,13,14],[1,4,5,7,11,12,13],[1,4,6,8,12,13,14],[1,4,6,9,10,11,14],[1,5,7,8,10,12,14],[1,5,7,9,10,11,14],[2,3,6,7,9,11,14],[2,3,7,8,10,12,14],[2,4,5,8,9,13,14],[2,4,6,7,10,13,14],[2,4,8,9,10,11,12],[2,5,6,8,11,12,14],[2,5,7,9,11,12,13],[3,4,5,6,11,12,14],[3,4,7,8,10,11,13],[3,4,7,9,12,13,14],[3,5,6,8,10,11,13],[3,5,6,9,10,12,13],[4,5,6,7,8,9,10]]; G[3202]:=Group([(1,3)(6,7)(8,9)(13,14)]); # Design 3203: autom. group order 2, simple, residual B[3203]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,11,12,13],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,7,9,12,13],[1,4,6,9,10,11,14],[1,4,6,9,12,13,14],[1,5,7,8,9,11,14],[1,5,7,8,10,12,14],[2,3,6,7,9,12,14],[2,3,7,9,11,12,14],[2,4,5,11,12,13,14],[2,4,6,7,8,9,10],[2,4,8,9,10,13,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,6,8,11,14],[3,4,7,8,10,12,13],[3,4,7,8,11,13,14],[3,5,6,8,9,12,13],[3,5,6,9,10,11,13],[4,5,6,7,10,11,12]]; G[3203]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3204: autom. group order 2, simple, residual B[3204]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,11,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,7,9,12,14],[1,4,6,9,10,12,13],[1,4,6,9,11,13,14],[1,5,7,8,9,11,14],[1,5,7,8,10,12,13],[2,3,6,7,9,12,14],[2,3,7,9,11,12,13],[2,4,5,11,12,13,14],[2,4,6,7,8,9,10],[2,4,8,9,10,13,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,6,8,11,13],[3,4,7,8,10,11,14],[3,4,7,8,12,13,14],[3,5,6,8,9,12,13],[3,5,6,9,10,11,14],[4,5,6,7,10,11,12]]; G[3204]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3205: autom. group order 2, simple, residual B[3205]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,7,9,11,13],[1,4,6,8,10,11,14],[1,4,6,9,12,13,14],[1,5,7,8,10,12,14],[1,5,7,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,14],[2,4,5,11,12,13,14],[2,4,6,7,10,13,14],[2,4,8,9,10,11,12],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,6,8,12,14],[3,4,7,8,11,13,14],[3,4,7,9,10,12,13],[3,5,6,8,11,12,13],[3,5,6,9,10,11,13],[4,5,6,7,8,9,10]]; G[3205]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3206: autom. group order 2, simple, residual B[3206]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,7,9,12,14],[1,4,6,8,10,12,14],[1,4,6,9,11,13,14],[1,5,7,8,10,11,14],[1,5,7,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,11,14],[2,4,5,11,12,13,14],[2,4,6,7,10,13,14],[2,4,8,9,10,11,12],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,6,8,11,13],[3,4,7,8,12,13,14],[3,4,7,9,10,11,13],[3,5,6,8,11,12,14],[3,5,6,9,10,12,13],[4,5,6,7,8,9,10]]; G[3206]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3207: autom. group order 2, simple, residual B[3207]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,7,9,11,13],[1,4,6,8,10,11,14],[1,4,6,9,12,13,14],[1,5,7,8,10,12,14],[1,5,7,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,14],[2,4,5,11,12,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,6,8,12,14],[3,4,7,8,11,13,14],[3,4,7,9,10,12,13],[3,5,6,8,11,12,13],[3,5,6,9,10,11,13],[4,5,6,7,8,9,10]]; G[3207]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3208: autom. group order 2, simple, residual B[3208]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,7,9,12,14],[1,4,6,8,10,12,14],[1,4,6,9,11,13,14],[1,5,7,8,10,11,14],[1,5,7,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,11,14],[2,4,5,11,12,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,6,8,11,13],[3,4,7,8,12,13,14],[3,4,7,9,10,11,13],[3,5,6,8,11,12,14],[3,5,6,9,10,12,13],[4,5,6,7,8,9,10]]; G[3208]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3209: autom. group order 2, simple, residual B[3209]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,7,9,11,14],[1,4,6,8,11,13,14],[1,4,6,9,10,12,13],[1,5,7,8,10,12,14],[1,5,7,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,7,10,13,14],[2,4,8,9,10,11,12],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,6,8,12,13],[3,4,7,8,10,11,14],[3,4,7,9,12,13,14],[3,5,6,8,11,12,14],[3,5,6,9,10,11,13],[4,5,6,7,8,9,10]]; G[3209]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3210: autom. group order 2, simple, residual B[3210]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,7,9,11,14],[1,4,6,8,11,13,14],[1,4,6,9,10,12,13],[1,5,7,8,10,12,14],[1,5,7,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,6,8,12,13],[3,4,7,8,10,11,14],[3,4,7,9,12,13,14],[3,5,6,8,11,12,14],[3,5,6,9,10,11,13],[4,5,6,7,8,9,10]]; G[3210]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3211: autom. group order 2, simple, residual B[3211]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,7,9,11,13],[1,4,6,8,12,13,14],[1,4,6,9,10,12,13],[1,5,7,8,11,12,14],[1,5,7,9,10,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,7,10,13,14],[2,4,8,9,10,11,12],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,6,8,12,14],[3,4,7,8,10,11,14],[3,4,7,9,11,13,14],[3,5,6,8,10,11,13],[3,5,6,9,11,12,13],[4,5,6,7,8,9,10]]; G[3211]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3212: autom. group order 2, simple, residual B[3212]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,7,9,12,14],[1,4,6,8,12,13,14],[1,4,6,9,10,12,13],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,7,10,13,14],[2,4,8,9,10,11,12],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,6,8,11,13],[3,4,7,8,10,11,14],[3,4,7,9,11,13,14],[3,5,6,8,10,12,14],[3,5,6,9,11,12,13],[4,5,6,7,8,9,10]]; G[3212]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3213: autom. group order 2, simple, residual B[3213]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,7,9,11,13],[1,4,6,8,12,13,14],[1,4,6,9,10,12,13],[1,5,7,8,11,12,14],[1,5,7,9,10,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,6,8,12,14],[3,4,7,8,10,11,14],[3,4,7,9,11,13,14],[3,5,6,8,10,11,13],[3,5,6,9,11,12,13],[4,5,6,7,8,9,10]]; G[3213]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3214: autom. group order 2, simple, residual B[3214]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,7,9,12,14],[1,4,6,8,12,13,14],[1,4,6,9,10,12,13],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,7,10,11,12],[2,4,8,9,10,13,14],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,6,8,11,13],[3,4,7,8,10,11,14],[3,4,7,9,11,13,14],[3,5,6,8,10,12,14],[3,5,6,9,11,12,13],[4,5,6,7,8,9,10]]; G[3214]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3215: autom. group order 2, simple, residual B[3215]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,7,11,12,14],[1,4,6,8,9,12,13],[1,4,6,9,10,12,14],[1,5,7,8,9,10,11],[1,5,7,8,10,12,13],[2,3,6,7,8,12,14],[2,3,7,9,10,12,13],[2,4,5,8,9,13,14],[2,4,6,8,10,11,13],[2,4,7,8,10,12,14],[2,5,6,7,9,11,12],[2,5,9,11,12,13,14],[3,4,5,6,11,12,13],[3,4,7,8,9,11,14],[3,4,7,9,10,11,13],[3,5,6,8,9,10,12],[3,5,6,8,10,11,14],[4,5,6,7,10,13,14]]; G[3215]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 3216: autom. group order 2, simple, residual B[3216]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,7,11,12,14],[1,4,6,8,9,12,14],[1,4,6,9,10,12,13],[1,5,7,8,9,10,11],[1,5,7,8,10,12,13],[2,3,6,7,8,12,14],[2,3,7,9,10,12,13],[2,4,5,8,9,13,14],[2,4,6,8,10,11,13],[2,4,7,8,10,12,14],[2,5,6,7,9,11,12],[2,5,9,11,12,13,14],[3,4,5,6,11,12,13],[3,4,7,8,9,11,13],[3,4,7,9,10,11,14],[3,5,6,8,9,10,12],[3,5,6,8,10,11,14],[4,5,6,7,10,13,14]]; G[3216]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 3217: autom. group order 2, simple, residual B[3217]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,7,11,12,13],[1,4,6,8,9,12,13],[1,4,6,9,10,12,14],[1,5,7,8,9,10,12],[1,5,7,8,10,11,14],[2,3,6,7,8,12,14],[2,3,7,9,10,12,13],[2,4,5,8,9,13,14],[2,4,6,8,10,11,13],[2,4,7,8,10,12,14],[2,5,6,7,9,11,12],[2,5,9,11,12,13,14],[3,4,5,6,11,12,14],[3,4,7,8,9,11,14],[3,4,7,9,10,11,13],[3,5,6,8,9,10,11],[3,5,6,8,10,12,13],[4,5,6,7,10,13,14]]; G[3217]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 3218: autom. group order 2, simple, residual B[3218]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,7,11,12,13],[1,4,6,8,9,12,14],[1,4,6,9,10,12,13],[1,5,7,8,9,10,12],[1,5,7,8,10,11,14],[2,3,6,7,8,12,14],[2,3,7,9,10,12,13],[2,4,5,8,9,13,14],[2,4,6,8,10,11,13],[2,4,7,8,10,12,14],[2,5,6,7,9,11,12],[2,5,9,11,12,13,14],[3,4,5,6,11,12,14],[3,4,7,8,9,11,13],[3,4,7,9,10,11,14],[3,5,6,8,9,10,11],[3,5,6,8,10,12,13],[4,5,6,7,10,13,14]]; G[3218]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 3219: autom. group order 2, simple, residual B[3219]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,7,11,12,14],[1,4,6,8,9,11,14],[1,4,6,9,10,12,14],[1,5,7,8,9,10,11],[1,5,7,8,10,12,13],[2,3,6,7,8,12,14],[2,3,7,9,10,11,14],[2,4,5,8,9,13,14],[2,4,6,8,10,11,13],[2,4,7,8,10,12,14],[2,5,6,7,9,11,12],[2,5,9,11,12,13,14],[3,4,5,6,11,12,13],[3,4,7,8,9,12,13],[3,4,7,9,10,11,13],[3,5,6,8,9,10,12],[3,5,6,8,10,11,14],[4,5,6,7,10,13,14]]; G[3219]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 3220: autom. group order 2, simple, residual B[3220]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,7,11,12,14],[1,4,6,8,9,11,14],[1,4,6,9,10,12,13],[1,5,7,8,9,10,11],[1,5,7,8,10,12,13],[2,3,6,7,8,12,14],[2,3,7,9,10,11,13],[2,4,5,8,9,13,14],[2,4,6,8,10,11,13],[2,4,7,8,10,12,14],[2,5,6,7,9,11,12],[2,5,9,11,12,13,14],[3,4,5,6,11,12,13],[3,4,7,8,9,12,13],[3,4,7,9,10,11,14],[3,5,6,8,9,10,12],[3,5,6,8,10,11,14],[4,5,6,7,10,13,14]]; G[3220]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 3221: autom. group order 2, simple, residual B[3221]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,7,11,12,13],[1,4,6,8,9,11,14],[1,4,6,9,10,12,14],[1,5,7,8,9,10,12],[1,5,7,8,10,11,14],[2,3,6,7,8,12,14],[2,3,7,9,10,11,14],[2,4,5,8,9,13,14],[2,4,6,8,10,11,13],[2,4,7,8,10,12,14],[2,5,6,7,9,11,12],[2,5,9,11,12,13,14],[3,4,5,6,11,12,14],[3,4,7,8,9,12,13],[3,4,7,9,10,11,13],[3,5,6,8,9,10,11],[3,5,6,8,10,12,13],[4,5,6,7,10,13,14]]; G[3221]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 3222: autom. group order 2, simple, residual B[3222]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,7,11,12,13],[1,4,6,8,9,11,14],[1,4,6,9,10,12,13],[1,5,7,8,9,10,12],[1,5,7,8,10,11,14],[2,3,6,7,8,12,14],[2,3,7,9,10,11,13],[2,4,5,8,9,13,14],[2,4,6,8,10,11,13],[2,4,7,8,10,12,14],[2,5,6,7,9,11,12],[2,5,9,11,12,13,14],[3,4,5,6,11,12,14],[3,4,7,8,9,12,13],[3,4,7,9,10,11,14],[3,5,6,8,9,10,11],[3,5,6,8,10,12,13],[4,5,6,7,10,13,14]]; G[3222]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 3223: autom. group order 2, simple, residual B[3223]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,7,11,12,14],[1,4,6,8,9,12,14],[1,4,6,9,10,11,14],[1,5,7,8,9,10,11],[1,5,7,8,10,12,13],[2,3,6,7,8,12,14],[2,3,7,9,10,11,14],[2,4,5,8,9,13,14],[2,4,6,8,10,11,13],[2,4,7,8,10,12,14],[2,5,6,7,9,11,12],[2,5,9,11,12,13,14],[3,4,5,6,11,12,13],[3,4,7,8,9,11,13],[3,4,7,9,10,12,13],[3,5,6,8,9,10,12],[3,5,6,8,10,11,14],[4,5,6,7,10,13,14]]; G[3223]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 3224: autom. group order 2, simple, residual B[3224]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,7,11,12,14],[1,4,6,8,9,12,13],[1,4,6,9,10,11,14],[1,5,7,8,9,10,11],[1,5,7,8,10,12,13],[2,3,6,7,8,12,14],[2,3,7,9,10,11,13],[2,4,5,8,9,13,14],[2,4,6,8,10,11,13],[2,4,7,8,10,12,14],[2,5,6,7,9,11,12],[2,5,9,11,12,13,14],[3,4,5,6,11,12,13],[3,4,7,8,9,11,14],[3,4,7,9,10,12,13],[3,5,6,8,9,10,12],[3,5,6,8,10,11,14],[4,5,6,7,10,13,14]]; G[3224]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 3225: autom. group order 2, simple, residual B[3225]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,7,11,12,13],[1,4,6,8,9,12,14],[1,4,6,9,10,11,14],[1,5,7,8,9,10,12],[1,5,7,8,10,11,14],[2,3,6,7,8,12,14],[2,3,7,9,10,11,14],[2,4,5,8,9,13,14],[2,4,6,8,10,11,13],[2,4,7,8,10,12,14],[2,5,6,7,9,11,12],[2,5,9,11,12,13,14],[3,4,5,6,11,12,14],[3,4,7,8,9,11,13],[3,4,7,9,10,12,13],[3,5,6,8,9,10,11],[3,5,6,8,10,12,13],[4,5,6,7,10,13,14]]; G[3225]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 3226: autom. group order 2, simple, residual B[3226]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,7,11,12,13],[1,4,6,8,9,12,13],[1,4,6,9,10,11,14],[1,5,7,8,9,10,12],[1,5,7,8,10,11,14],[2,3,6,7,8,12,14],[2,3,7,9,10,11,13],[2,4,5,8,9,13,14],[2,4,6,8,10,11,13],[2,4,7,8,10,12,14],[2,5,6,7,9,11,12],[2,5,9,11,12,13,14],[3,4,5,6,11,12,14],[3,4,7,8,9,11,14],[3,4,7,9,10,12,13],[3,5,6,8,9,10,11],[3,5,6,8,10,12,13],[4,5,6,7,10,13,14]]; G[3226]:=Group([(1,3)(6,7)(11,12)(13,14)]); # Design 3227: autom. group order 2, simple, residual B[3227]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,13,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,7,9,12,14],[1,4,6,8,9,12,13],[1,4,6,8,10,12,14],[1,5,7,8,10,11,14],[1,5,7,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,12,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,8,9,10],[2,5,8,9,10,11,12],[3,4,5,6,8,11,13],[3,4,7,8,9,11,14],[3,4,7,9,10,11,13],[3,5,6,8,11,12,14],[3,5,6,9,10,12,13],[4,5,6,7,10,13,14]]; G[3227]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3228: autom. group order 2, simple, residual B[3228]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,12,13,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,7,9,11,13],[1,4,6,8,9,12,13],[1,4,6,8,10,11,14],[1,5,7,8,10,12,14],[1,5,7,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,11,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,8,9,10],[2,5,8,9,10,11,12],[3,4,5,6,8,12,14],[3,4,7,8,9,11,14],[3,4,7,9,10,12,13],[3,5,6,8,11,12,13],[3,5,6,9,10,11,13],[4,5,6,7,10,13,14]]; G[3228]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3229: autom. group order 2, simple, residual B[3229]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,12,13,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,7,9,11,14],[1,4,6,8,9,11,13],[1,4,6,8,10,12,14],[1,5,7,8,11,12,14],[1,5,7,9,10,12,13],[2,3,6,7,9,12,14],[2,3,7,8,11,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,8,9,10],[2,5,8,9,10,11,12],[3,4,5,6,8,12,13],[3,4,7,8,9,12,14],[3,4,7,9,10,11,13],[3,5,6,8,10,11,14],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[3229]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3230: autom. group order 2, simple, residual B[3230]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,12,13,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,7,9,12,13],[1,4,6,8,9,11,13],[1,4,6,8,10,12,14],[1,5,7,8,11,12,14],[1,5,7,9,10,11,14],[2,3,6,7,9,12,14],[2,3,7,8,11,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,8,9,10],[2,5,8,9,10,11,12],[3,4,5,6,8,11,14],[3,4,7,8,9,12,14],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[3230]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3231: autom. group order 2, simple, residual B[3231]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,7,11,13,14],[1,4,6,8,9,10,13],[1,4,6,8,10,12,14],[1,5,7,8,9,12,14],[1,5,7,9,10,12,13],[2,3,6,7,8,12,13],[2,3,7,9,10,12,14],[2,4,5,8,9,11,12],[2,4,6,9,12,13,14],[2,4,7,9,11,13,14],[2,5,6,7,8,10,14],[2,5,8,10,11,12,13],[3,4,5,6,12,13,14],[3,4,7,8,9,10,13],[3,4,7,8,10,11,14],[3,5,6,8,9,11,14],[3,5,6,9,10,11,13],[4,5,6,7,10,11,12]]; G[3231]:=Group([(1,3)(6,7)(11,12)]); # Design 3232: autom. group order 2, simple, residual B[3232]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,7,12,13,14],[1,4,6,8,9,10,13],[1,4,6,8,10,12,14],[1,5,7,8,9,11,14],[1,5,7,9,10,12,13],[2,3,6,7,8,12,13],[2,3,7,9,10,12,14],[2,4,5,8,9,11,12],[2,4,6,9,12,13,14],[2,4,7,9,11,13,14],[2,5,6,7,8,10,14],[2,5,8,10,11,12,13],[3,4,5,6,11,13,14],[3,4,7,8,9,10,13],[3,4,7,8,10,11,14],[3,5,6,8,9,12,14],[3,5,6,9,10,11,13],[4,5,6,7,10,11,12]]; G[3232]:=Group([(1,3)(6,7)(11,12)]); # Design 3233: autom. group order 2, simple, residual B[3233]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,7,12,13,14],[1,4,6,8,9,10,13],[1,4,6,8,10,12,14],[1,5,7,8,9,12,14],[1,5,7,9,10,11,13],[2,3,6,7,8,12,13],[2,3,7,9,10,12,14],[2,4,5,8,9,11,12],[2,4,6,9,12,13,14],[2,4,7,9,11,13,14],[2,5,6,7,8,10,14],[2,5,8,10,11,12,13],[3,4,5,6,11,13,14],[3,4,7,8,9,10,13],[3,4,7,8,10,11,14],[3,5,6,8,9,11,14],[3,5,6,9,10,12,13],[4,5,6,7,10,11,12]]; G[3233]:=Group([(1,3)(6,7)(11,12)]); # Design 3234: autom. group order 2, simple, residual B[3234]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,7,11,13,14],[1,4,6,8,9,10,13],[1,4,6,8,10,11,14],[1,5,7,8,9,12,14],[1,5,7,9,10,12,13],[2,3,6,7,8,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,12],[2,4,6,9,12,13,14],[2,4,7,9,11,13,14],[2,5,6,7,8,10,14],[2,5,8,10,11,12,13],[3,4,5,6,12,13,14],[3,4,7,8,9,10,13],[3,4,7,8,10,12,14],[3,5,6,8,9,11,14],[3,5,6,9,10,11,13],[4,5,6,7,10,11,12]]; G[3234]:=Group([(1,3)(6,7)(11,12)]); # Design 3235: autom. group order 2, simple, residual B[3235]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,7,12,13,14],[1,4,6,8,9,10,13],[1,4,6,8,10,11,14],[1,5,7,8,9,11,14],[1,5,7,9,10,12,13],[2,3,6,7,8,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,12],[2,4,6,9,12,13,14],[2,4,7,9,11,13,14],[2,5,6,7,8,10,14],[2,5,8,10,11,12,13],[3,4,5,6,11,13,14],[3,4,7,8,9,10,13],[3,4,7,8,10,12,14],[3,5,6,8,9,12,14],[3,5,6,9,10,11,13],[4,5,6,7,10,11,12]]; G[3235]:=Group([(1,3)(6,7)(11,12)]); # Design 3236: autom. group order 2, simple, residual B[3236]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,7,12,13,14],[1,4,6,8,9,10,13],[1,4,6,8,10,11,14],[1,5,7,8,9,12,14],[1,5,7,9,10,11,13],[2,3,6,7,8,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,12],[2,4,6,9,12,13,14],[2,4,7,9,11,13,14],[2,5,6,7,8,10,14],[2,5,8,10,11,12,13],[3,4,5,6,11,13,14],[3,4,7,8,9,10,13],[3,4,7,8,10,12,14],[3,5,6,8,9,11,14],[3,5,6,9,10,12,13],[4,5,6,7,10,11,12]]; G[3236]:=Group([(1,3)(6,7)(11,12)]); # Design 3237: autom. group order 2, simple, residual B[3237]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,13,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,7,8,11,14],[1,4,6,8,9,12,13],[1,4,6,8,10,12,14],[1,5,7,9,10,12,14],[1,5,7,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,12,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,8,9,10],[2,5,8,9,10,11,12],[3,4,5,6,9,12,13],[3,4,7,8,9,11,14],[3,4,7,9,10,11,13],[3,5,6,8,10,11,13],[3,5,6,8,11,12,14],[4,5,6,7,10,13,14]]; G[3237]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3238: autom. group order 2, simple, residual B[3238]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,12,13,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,7,8,12,14],[1,4,6,8,9,12,13],[1,4,6,8,10,11,14],[1,5,7,9,10,11,13],[1,5,7,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,11,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,8,9,10],[2,5,8,9,10,11,12],[3,4,5,6,9,11,13],[3,4,7,8,9,11,14],[3,4,7,9,10,12,13],[3,5,6,8,10,12,14],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[3238]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3239: autom. group order 2, simple, residual B[3239]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,8,9,14],[1,3,8,9,11,12,13],[1,4,5,7,11,13,14],[1,4,6,8,10,12,13],[1,4,6,9,10,12,14],[1,5,7,8,10,12,13],[1,5,7,9,11,12,14],[2,3,6,7,9,12,13],[2,3,7,8,10,12,14],[2,4,5,8,9,11,12],[2,4,6,8,11,13,14],[2,4,7,9,12,13,14],[2,5,6,7,10,11,12],[2,5,8,9,10,13,14],[3,4,5,6,12,13,14],[3,4,7,8,10,11,14],[3,4,7,9,10,11,13],[3,5,6,8,11,12,14],[3,5,6,9,10,11,13],[4,5,6,7,8,9,10]]; G[3239]:=Group([(1,3)(6,7)(8,9)(11,12)]); # Design 3240: autom. group order 2, simple, residual B[3240]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,8,9,14],[1,3,8,9,11,12,13],[1,4,5,7,11,13,14],[1,4,6,8,10,12,14],[1,4,6,9,10,12,13],[1,5,7,8,10,12,13],[1,5,7,9,11,12,14],[2,3,6,7,9,12,13],[2,3,7,8,10,12,14],[2,4,5,8,9,11,12],[2,4,6,8,11,13,14],[2,4,7,9,12,13,14],[2,5,6,7,10,11,12],[2,5,8,9,10,13,14],[3,4,5,6,12,13,14],[3,4,7,8,10,11,13],[3,4,7,9,10,11,14],[3,5,6,8,11,12,14],[3,5,6,9,10,11,13],[4,5,6,7,8,9,10]]; G[3240]:=Group([(1,3)(6,7)(8,9)(11,12)]); # Design 3241: autom. group order 2, simple, residual B[3241]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,8,9,14],[1,3,8,9,11,12,13],[1,4,5,7,12,13,14],[1,4,6,8,10,12,13],[1,4,6,9,10,12,14],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,6,7,9,12,13],[2,3,7,8,10,12,14],[2,4,5,8,9,11,12],[2,4,6,8,11,13,14],[2,4,7,9,12,13,14],[2,5,6,7,10,11,12],[2,5,8,9,10,13,14],[3,4,5,6,11,13,14],[3,4,7,8,10,11,14],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[3,5,6,9,11,12,14],[4,5,6,7,8,9,10]]; G[3241]:=Group([(1,3)(6,7)(8,9)(11,12)]); # Design 3242: autom. group order 2, simple, residual B[3242]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,8,9,14],[1,3,8,9,11,12,13],[1,4,5,7,12,13,14],[1,4,6,8,10,12,14],[1,4,6,9,10,12,13],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,6,7,9,12,13],[2,3,7,8,10,12,14],[2,4,5,8,9,11,12],[2,4,6,8,11,13,14],[2,4,7,9,12,13,14],[2,5,6,7,10,11,12],[2,5,8,9,10,13,14],[3,4,5,6,11,13,14],[3,4,7,8,10,11,13],[3,4,7,9,10,11,14],[3,5,6,8,10,12,13],[3,5,6,9,11,12,14],[4,5,6,7,8,9,10]]; G[3242]:=Group([(1,3)(6,7)(8,9)(11,12)]); # Design 3243: autom. group order 2, simple, residual B[3243]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,8,9,14],[1,3,8,9,11,12,13],[1,4,5,7,12,13,14],[1,4,6,8,10,12,13],[1,4,6,9,10,11,14],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,6,7,9,12,13],[2,3,7,8,10,11,14],[2,4,5,8,9,11,12],[2,4,6,8,11,13,14],[2,4,7,9,12,13,14],[2,5,6,7,10,11,12],[2,5,8,9,10,13,14],[3,4,5,6,11,13,14],[3,4,7,8,10,12,14],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[3,5,6,9,11,12,14],[4,5,6,7,8,9,10]]; G[3243]:=Group([(1,3)(6,7)(8,9)(11,12)]); # Design 3244: autom. group order 2, simple, residual B[3244]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,11,13,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,7,9,11,14],[1,4,6,8,9,12,14],[1,4,6,9,10,12,13],[1,5,7,8,10,12,14],[1,5,7,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,9,12,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,8,9,10],[2,5,8,9,10,11,12],[3,4,5,6,8,12,13],[3,4,7,8,9,11,13],[3,4,7,8,10,11,14],[3,5,6,8,11,12,14],[3,5,6,9,10,11,13],[4,5,6,7,10,13,14]]; G[3244]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3245: autom. group order 2, simple, residual B[3245]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,12,13,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,7,9,12,13],[1,4,6,8,9,12,14],[1,4,6,9,10,11,13],[1,5,7,8,10,11,14],[1,5,7,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,9,11,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,8,9,10],[2,5,8,9,10,11,12],[3,4,5,6,8,11,14],[3,4,7,8,9,11,13],[3,4,7,8,10,12,14],[3,5,6,8,11,12,13],[3,5,6,9,10,12,13],[4,5,6,7,10,13,14]]; G[3245]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3246: autom. group order 2, simple, residual B[3246]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,12,13,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,7,9,11,13],[1,4,6,8,9,11,14],[1,4,6,9,10,12,13],[1,5,7,8,11,12,14],[1,5,7,9,10,12,14],[2,3,6,7,9,12,14],[2,3,7,9,11,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,8,9,10],[2,5,8,9,10,11,12],[3,4,5,6,8,12,14],[3,4,7,8,9,12,13],[3,4,7,8,10,11,14],[3,5,6,8,10,11,13],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[3246]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3247: autom. group order 2, simple, residual B[3247]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,12,13,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,7,9,12,14],[1,4,6,8,9,11,14],[1,4,6,9,10,12,13],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,6,7,9,12,14],[2,3,7,9,11,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,8,9,10],[2,5,8,9,10,11,12],[3,4,5,6,8,11,13],[3,4,7,8,9,12,13],[3,4,7,8,10,11,14],[3,5,6,8,10,12,14],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[3247]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3248: autom. group order 2, simple, residual B[3248]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,7,9,11,13],[1,4,6,8,10,11,14],[1,4,6,9,12,13,14],[1,5,7,8,10,12,14],[1,5,7,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,10,13,14],[2,5,8,9,10,11,12],[3,4,5,6,8,12,14],[3,4,7,8,11,13,14],[3,4,7,9,10,12,13],[3,5,6,8,11,12,13],[3,5,6,9,10,11,13],[4,5,6,7,8,9,10]]; G[3248]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3249: autom. group order 2, simple, residual B[3249]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,7,9,12,14],[1,4,6,8,10,12,14],[1,4,6,9,11,13,14],[1,5,7,8,10,11,14],[1,5,7,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,11,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,10,13,14],[2,5,8,9,10,11,12],[3,4,5,6,8,11,13],[3,4,7,8,12,13,14],[3,4,7,9,10,11,13],[3,5,6,8,11,12,14],[3,5,6,9,10,12,13],[4,5,6,7,8,9,10]]; G[3249]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3250: autom. group order 2, simple, residual B[3250]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,7,9,11,13],[1,4,6,8,10,11,14],[1,4,6,9,12,13,14],[1,5,7,8,10,12,14],[1,5,7,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,10,11,12],[2,5,8,9,10,13,14],[3,4,5,6,8,12,14],[3,4,7,8,11,13,14],[3,4,7,9,10,12,13],[3,5,6,8,11,12,13],[3,5,6,9,10,11,13],[4,5,6,7,8,9,10]]; G[3250]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3251: autom. group order 2, simple, residual B[3251]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,7,9,12,14],[1,4,6,8,10,12,14],[1,4,6,9,11,13,14],[1,5,7,8,10,11,14],[1,5,7,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,11,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,10,11,12],[2,5,8,9,10,13,14],[3,4,5,6,8,11,13],[3,4,7,8,12,13,14],[3,4,7,9,10,11,13],[3,5,6,8,11,12,14],[3,5,6,9,10,12,13],[4,5,6,7,8,9,10]]; G[3251]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3252: autom. group order 2, simple, residual B[3252]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,13],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,7,9,11,14],[1,4,6,8,10,12,14],[1,4,6,9,12,13,14],[1,5,7,8,11,12,14],[1,5,7,9,10,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,12,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,10,13,14],[2,5,8,9,10,11,12],[3,4,5,6,8,12,13],[3,4,7,8,11,13,14],[3,4,7,9,10,11,13],[3,5,6,8,10,11,14],[3,5,6,9,11,12,13],[4,5,6,7,8,9,10]]; G[3252]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3253: autom. group order 2, simple, residual B[3253]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,13],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,7,9,12,13],[1,4,6,8,10,12,14],[1,4,6,9,12,13,14],[1,5,7,8,11,12,14],[1,5,7,9,10,11,14],[2,3,6,7,9,12,14],[2,3,7,8,9,12,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,10,13,14],[2,5,8,9,10,11,12],[3,4,5,6,8,11,14],[3,4,7,8,11,13,14],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[3,5,6,9,11,12,13],[4,5,6,7,8,9,10]]; G[3253]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3254: autom. group order 2, simple, residual B[3254]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,13],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,7,9,11,14],[1,4,6,8,10,12,14],[1,4,6,9,12,13,14],[1,5,7,8,11,12,14],[1,5,7,9,10,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,12,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,10,11,12],[2,5,8,9,10,13,14],[3,4,5,6,8,12,13],[3,4,7,8,11,13,14],[3,4,7,9,10,11,13],[3,5,6,8,10,11,14],[3,5,6,9,11,12,13],[4,5,6,7,8,9,10]]; G[3254]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3255: autom. group order 2, simple, residual B[3255]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,13],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,7,9,12,13],[1,4,6,8,10,12,14],[1,4,6,9,12,13,14],[1,5,7,8,11,12,14],[1,5,7,9,10,11,14],[2,3,6,7,9,12,14],[2,3,7,8,9,12,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,10,11,12],[2,5,8,9,10,13,14],[3,4,5,6,8,11,14],[3,4,7,8,11,13,14],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[3,5,6,9,11,12,13],[4,5,6,7,8,9,10]]; G[3255]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3256: autom. group order 2, simple, residual B[3256]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,7,9,12,13],[1,4,6,8,12,13,14],[1,4,6,9,10,11,13],[1,5,7,8,10,11,14],[1,5,7,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,10,13,14],[2,5,8,9,10,11,12],[3,4,5,6,8,11,14],[3,4,7,8,10,12,14],[3,4,7,9,11,13,14],[3,5,6,8,11,12,13],[3,5,6,9,10,12,13],[4,5,6,7,8,9,10]]; G[3256]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3257: autom. group order 2, simple, residual B[3257]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,7,9,12,13],[1,4,6,8,12,13,14],[1,4,6,9,10,11,13],[1,5,7,8,10,11,14],[1,5,7,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,10,11,12],[2,5,8,9,10,13,14],[3,4,5,6,8,11,14],[3,4,7,8,10,12,14],[3,4,7,9,11,13,14],[3,5,6,8,11,12,13],[3,5,6,9,10,12,13],[4,5,6,7,8,9,10]]; G[3257]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3258: autom. group order 2, simple, residual B[3258]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,7,9,11,13],[1,4,6,8,12,13,14],[1,4,6,9,10,12,13],[1,5,7,8,11,12,14],[1,5,7,9,10,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,10,13,14],[2,5,8,9,10,11,12],[3,4,5,6,8,12,14],[3,4,7,8,10,11,14],[3,4,7,9,11,13,14],[3,5,6,8,10,11,13],[3,5,6,9,11,12,13],[4,5,6,7,8,9,10]]; G[3258]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3259: autom. group order 2, simple, residual B[3259]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,7,9,12,14],[1,4,6,8,12,13,14],[1,4,6,9,10,12,13],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,10,13,14],[2,5,8,9,10,11,12],[3,4,5,6,8,11,13],[3,4,7,8,10,11,14],[3,4,7,9,11,13,14],[3,5,6,8,10,12,14],[3,5,6,9,11,12,13],[4,5,6,7,8,9,10]]; G[3259]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3260: autom. group order 2, simple, residual B[3260]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,7,9,11,13],[1,4,6,8,12,13,14],[1,4,6,9,10,12,13],[1,5,7,8,11,12,14],[1,5,7,9,10,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,10,11,12],[2,5,8,9,10,13,14],[3,4,5,6,8,12,14],[3,4,7,8,10,11,14],[3,4,7,9,11,13,14],[3,5,6,8,10,11,13],[3,5,6,9,11,12,13],[4,5,6,7,8,9,10]]; G[3260]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3261: autom. group order 2, simple, residual B[3261]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,7,9,12,14],[1,4,6,8,12,13,14],[1,4,6,9,10,12,13],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,10,11,12],[2,5,8,9,10,13,14],[3,4,5,6,8,11,13],[3,4,7,8,10,11,14],[3,4,7,9,11,13,14],[3,5,6,8,10,12,14],[3,5,6,9,11,12,13],[4,5,6,7,8,9,10]]; G[3261]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3262: autom. group order 2, simple B[3262]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,11,13,14],[1,2,6,8,9,12,13],[1,3,6,8,10,11,14],[1,3,7,9,10,12,13],[1,4,5,7,9,11,13],[1,4,6,7,8,11,12],[1,4,6,9,10,12,14],[1,5,7,8,12,13,14],[1,5,8,9,10,11,14],[2,3,6,7,9,11,14],[2,3,7,8,9,12,14],[2,4,5,8,11,12,14],[2,4,6,8,9,10,13],[2,4,7,8,10,13,14],[2,5,6,10,11,12,13],[2,5,7,9,10,11,12],[3,4,5,6,12,13,14],[3,4,7,8,10,11,13],[3,4,9,11,12,13,14],[3,5,6,7,8,10,12],[3,5,6,8,9,11,13],[4,5,6,7,9,10,14]]; G[3262]:=Group([(1,12)(3,11)(4,10)(6,9)(8,13)]); # Design 3263: autom. group order 2, simple, residual B[3263]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,13,14],[1,2,6,8,9,11,12],[1,3,6,9,10,11,13],[1,3,7,8,11,12,13],[1,4,5,7,11,13,14],[1,4,6,7,9,12,14],[1,4,6,8,10,11,14],[1,5,7,8,9,10,12],[1,5,9,10,12,13,14],[2,3,6,9,12,13,14],[2,3,7,8,10,12,14],[2,4,5,9,11,12,14],[2,4,6,7,9,10,13],[2,4,7,10,11,12,13],[2,5,6,8,10,11,14],[2,5,7,8,9,11,13],[3,4,5,6,8,12,13],[3,4,7,8,9,10,14],[3,4,8,9,11,13,14],[3,5,6,7,9,10,11],[3,5,6,7,11,12,14],[4,5,6,8,10,12,13]]; G[3263]:=Group([(1,2)(4,5)(6,8)(7,9)(11,14)(12,13)]); # Design 3264: autom. group order 2, simple, residual B[3264]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,14],[1,3,6,8,10,12,14],[1,3,7,8,11,13,14],[1,4,5,7,11,12,14],[1,4,6,7,9,12,13],[1,4,6,8,9,10,14],[1,5,7,9,10,12,13],[1,5,8,9,10,11,13],[2,3,6,8,9,12,13],[2,3,7,9,10,11,12],[2,4,5,8,12,13,14],[2,4,6,7,10,13,14],[2,4,9,10,11,13,14],[2,5,6,7,8,10,11],[2,5,7,8,9,12,14],[3,4,5,6,9,11,13],[3,4,7,8,9,11,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,14],[3,5,6,11,12,13,14],[4,5,6,8,10,11,12]]; G[3264]:=Group([(1,13)(3,14)(5,10)(8,11)]); # Design 3265: autom. group order 2, simple, residual B[3265]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,13,14],[1,2,6,8,9,11,12],[1,3,6,9,11,13,14],[1,3,7,8,10,11,13],[1,4,5,9,11,12,13],[1,4,6,7,8,10,12],[1,4,6,10,12,13,14],[1,5,7,8,9,12,14],[1,5,7,9,10,11,14],[2,3,6,9,10,12,14],[2,3,7,8,11,12,14],[2,4,5,7,12,13,14],[2,4,6,7,9,11,13],[2,4,7,9,10,11,14],[2,5,6,8,9,10,13],[2,5,8,10,11,12,13],[3,4,5,6,8,11,14],[3,4,7,8,9,10,13],[3,4,8,9,12,13,14],[3,5,6,7,9,10,12],[3,5,6,7,11,12,13],[4,5,6,8,10,11,14]]; G[3265]:=Group([(1,2)(4,5)(6,8)(7,9)(11,14)(12,13)]); # Design 3266: autom. group order 2, simple, residual B[3266]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,9,10,13,14],[1,3,8,9,11,12,14],[1,4,5,7,12,13,14],[1,4,6,7,9,10,11],[1,4,6,8,10,12,13],[1,5,7,8,9,11,13],[1,5,7,10,11,12,14],[2,3,6,7,11,13,14],[2,3,7,8,10,11,12],[2,4,5,9,11,12,13],[2,4,6,7,9,12,14],[2,4,9,10,11,13,14],[2,5,6,8,10,12,13],[2,5,7,8,9,10,14],[3,4,5,6,8,11,14],[3,4,7,8,9,10,13],[3,4,7,8,12,13,14],[3,5,6,7,9,10,12],[3,5,6,9,11,12,13],[4,5,6,8,10,11,14]]; G[3266]:=Group([(1,2)(4,5)(6,8)(7,9)(11,14)(12,13)]); # Design 3267: autom. group order 2, simple, residual B[3267]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,9,11,12,14],[1,3,8,9,10,11,13],[1,4,5,7,11,12,13],[1,4,6,7,9,13,14],[1,4,6,8,10,12,13],[1,5,7,8,9,10,14],[1,5,7,10,11,12,14],[2,3,6,7,10,12,14],[2,3,7,8,11,13,14],[2,4,5,9,12,13,14],[2,4,6,7,9,10,11],[2,4,9,10,11,13,14],[2,5,6,8,10,12,13],[2,5,7,8,9,11,12],[3,4,5,6,8,11,14],[3,4,7,8,9,10,12],[3,4,7,8,12,13,14],[3,5,6,7,9,10,13],[3,5,6,9,11,12,13],[4,5,6,8,10,11,14]]; G[3267]:=Group([(1,2)(4,5)(6,8)(7,9)(11,14)(12,13)]); # Design 3268: autom. group order 2, simple, residual B[3268]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,11,13,14],[1,2,6,9,12,13,14],[1,3,6,7,8,11,12],[1,3,7,9,10,12,13],[1,4,5,8,9,12,14],[1,4,6,7,9,10,14],[1,4,6,8,10,11,13],[1,5,7,8,9,11,13],[1,5,7,10,11,12,14],[2,3,6,7,8,10,14],[2,3,8,9,11,12,14],[2,4,5,7,11,13,14],[2,4,6,7,9,12,13],[2,4,7,8,9,10,11],[2,5,6,9,10,11,12],[2,5,7,8,10,12,13],[3,4,5,6,11,12,13],[3,4,7,8,12,13,14],[3,4,9,10,11,13,14],[3,5,6,7,9,11,14],[3,5,6,8,9,10,13],[4,5,6,8,10,12,14]]; G[3268]:=Group([(2,8)(3,11)(4,6)(5,13)(7,10)(9,14)]); # Design 3269: autom. group order 2, simple, residual B[3269]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,10,13],[1,2,6,11,12,13,14],[1,3,6,7,8,11,14],[1,3,7,8,10,11,12],[1,4,5,9,11,12,14],[1,4,6,7,9,12,13],[1,4,6,8,9,10,14],[1,5,7,8,12,13,14],[1,5,7,9,10,11,13],[2,3,6,7,9,12,14],[2,3,8,9,11,12,13],[2,4,5,7,8,12,13],[2,4,6,7,10,11,13],[2,4,7,8,9,11,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,14],[3,4,5,6,11,13,14],[3,4,7,8,10,13,14],[3,4,9,10,12,13,14],[3,5,6,7,9,10,12],[3,5,6,8,9,11,13],[4,5,6,8,10,11,12]]; G[3269]:=Group([(1,13)(2,14)(5,10)(6,12)(7,9)]); # Design 3270: autom. group order 2, simple, residual B[3270]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,11,13,14],[1,2,6,9,10,12,13],[1,3,6,7,8,12,14],[1,3,7,8,10,11,12],[1,4,5,9,11,12,14],[1,4,6,7,9,11,13],[1,4,6,8,9,10,14],[1,5,7,8,9,10,13],[1,5,7,11,12,13,14],[2,3,6,7,9,11,14],[2,3,8,9,11,12,13],[2,4,5,7,8,11,13],[2,4,6,7,10,12,13],[2,4,7,8,9,12,14],[2,5,6,8,10,11,14],[2,5,7,9,10,12,14],[3,4,5,6,12,13,14],[3,4,7,8,10,13,14],[3,4,9,10,11,13,14],[3,5,6,7,9,10,11],[3,5,6,8,9,12,13],[4,5,6,8,10,11,12]]; G[3270]:=Group([(1,13)(2,14)(5,10)(6,11)(7,9)]); # Design 3271: autom. group order 2, simple, residual B[3271]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,11,13,14],[1,2,6,9,10,12,13],[1,3,6,8,11,12,14],[1,3,7,8,9,12,14],[1,4,5,7,11,12,13],[1,4,6,7,8,10,13],[1,4,6,7,9,11,14],[1,5,7,9,10,12,14],[1,5,8,9,10,11,13],[2,3,6,7,9,11,13],[2,3,7,8,10,11,12],[2,4,5,8,9,11,14],[2,4,6,9,10,12,14],[2,4,7,8,9,12,13],[2,5,6,7,8,10,14],[2,5,7,11,12,13,14],[3,4,5,6,12,13,14],[3,4,7,8,10,13,14],[3,4,9,10,11,13,14],[3,5,6,7,9,10,11],[3,5,6,8,9,12,13],[4,5,6,8,10,11,12]]; G[3271]:=Group([(1,14)(2,13)(5,10)(6,11)(7,9)]); # Design 3272: autom. group order 2, simple, residual B[3272]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,12,14],[1,3,8,9,10,11,13],[1,4,5,8,9,12,14],[1,4,6,8,10,11,14],[1,4,6,9,11,12,13],[1,5,7,8,10,12,13],[1,5,7,9,11,13,14],[2,3,6,8,9,13,14],[2,3,7,8,9,11,12],[2,4,5,11,12,13,14],[2,4,7,8,10,11,14],[2,4,7,9,10,12,13],[2,5,6,8,10,12,13],[2,5,6,9,10,11,14],[3,4,5,6,7,11,13],[3,4,6,8,12,13,14],[3,4,7,9,10,13,14],[3,5,6,9,10,11,12],[3,5,7,8,11,12,14],[4,5,6,7,8,9,10]]; G[3272]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3273: autom. group order 2, simple, residual B[3273]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,12,14],[1,3,8,9,10,11,13],[1,4,5,8,9,12,14],[1,4,6,8,10,11,14],[1,4,6,9,11,12,13],[1,5,7,8,10,12,13],[1,5,7,9,11,13,14],[2,3,6,8,9,13,14],[2,3,7,8,9,11,12],[2,4,5,11,12,13,14],[2,4,7,8,10,11,14],[2,4,7,9,10,13,14],[2,5,6,8,10,12,13],[2,5,6,9,10,11,12],[3,4,5,6,7,11,13],[3,4,6,8,12,13,14],[3,4,7,9,10,12,13],[3,5,6,9,10,11,14],[3,5,7,8,11,12,14],[4,5,6,7,8,9,10]]; G[3273]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3274: autom. group order 2, simple, residual B[3274]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,12,14],[1,3,8,9,10,11,13],[1,4,5,8,9,12,14],[1,4,6,8,10,11,14],[1,4,6,9,11,12,13],[1,5,7,8,10,12,13],[1,5,7,9,11,13,14],[2,3,6,8,9,13,14],[2,3,7,8,9,11,12],[2,4,5,11,12,13,14],[2,4,7,8,10,12,13],[2,4,7,9,10,11,14],[2,5,6,8,10,11,14],[2,5,6,9,10,12,13],[3,4,5,6,7,11,13],[3,4,6,8,12,13,14],[3,4,7,9,10,13,14],[3,5,6,9,10,11,12],[3,5,7,8,11,12,14],[4,5,6,7,8,9,10]]; G[3274]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3275: autom. group order 2, simple, residual B[3275]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,12,14],[1,3,8,9,10,11,13],[1,4,5,8,9,12,14],[1,4,6,8,10,11,14],[1,4,6,9,11,12,13],[1,5,7,8,10,12,13],[1,5,7,9,11,13,14],[2,3,6,8,9,13,14],[2,3,7,8,9,11,12],[2,4,5,11,12,13,14],[2,4,7,8,10,13,14],[2,4,7,9,10,11,14],[2,5,6,8,10,11,12],[2,5,6,9,10,12,13],[3,4,5,6,7,11,13],[3,4,6,8,12,13,14],[3,4,7,9,10,12,13],[3,5,6,9,10,11,14],[3,5,7,8,11,12,14],[4,5,6,7,8,9,10]]; G[3275]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3276: autom. group order 2, simple, residual B[3276]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,12,14],[1,3,8,9,10,11,13],[1,4,5,8,9,12,14],[1,4,6,8,10,11,14],[1,4,6,9,11,12,13],[1,5,7,8,10,12,13],[1,5,7,9,11,13,14],[2,3,6,8,9,13,14],[2,3,7,8,9,11,12],[2,4,5,11,12,13,14],[2,4,7,8,10,12,13],[2,4,7,9,10,13,14],[2,5,6,8,10,11,14],[2,5,6,9,10,11,12],[3,4,5,6,7,11,13],[3,4,6,8,12,13,14],[3,4,7,9,10,11,14],[3,5,6,9,10,12,13],[3,5,7,8,11,12,14],[4,5,6,7,8,9,10]]; G[3276]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3277: autom. group order 2, simple, residual B[3277]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,12,14],[1,3,8,9,10,11,13],[1,4,5,8,9,12,14],[1,4,6,8,10,11,14],[1,4,6,9,11,12,13],[1,5,7,8,10,12,13],[1,5,7,9,11,13,14],[2,3,6,8,9,13,14],[2,3,7,8,9,11,12],[2,4,5,11,12,13,14],[2,4,7,8,10,13,14],[2,4,7,9,10,12,13],[2,5,6,8,10,11,12],[2,5,6,9,10,11,14],[3,4,5,6,7,11,13],[3,4,6,8,12,13,14],[3,4,7,9,10,11,14],[3,5,6,9,10,12,13],[3,5,7,8,11,12,14],[4,5,6,7,8,9,10]]; G[3277]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3278: autom. group order 2, simple, residual B[3278]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,12,14],[1,3,8,9,10,11,13],[1,4,5,8,9,12,14],[1,4,6,8,10,12,13],[1,4,6,9,11,13,14],[1,5,7,8,10,11,14],[1,5,7,9,11,12,13],[2,3,6,8,9,13,14],[2,3,7,8,9,11,12],[2,4,5,11,12,13,14],[2,4,7,8,10,11,14],[2,4,7,9,10,12,13],[2,5,6,8,10,12,13],[2,5,6,9,10,11,14],[3,4,5,6,7,11,13],[3,4,6,8,11,12,14],[3,4,7,9,10,13,14],[3,5,6,9,10,11,12],[3,5,7,8,12,13,14],[4,5,6,7,8,9,10]]; G[3278]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3279: autom. group order 2, simple, residual B[3279]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,12,14],[1,3,8,9,10,11,13],[1,4,5,8,9,12,14],[1,4,6,8,10,12,13],[1,4,6,9,11,13,14],[1,5,7,8,10,11,14],[1,5,7,9,11,12,13],[2,3,6,8,9,13,14],[2,3,7,8,9,11,12],[2,4,5,11,12,13,14],[2,4,7,8,10,11,14],[2,4,7,9,10,13,14],[2,5,6,8,10,12,13],[2,5,6,9,10,11,12],[3,4,5,6,7,11,13],[3,4,6,8,11,12,14],[3,4,7,9,10,12,13],[3,5,6,9,10,11,14],[3,5,7,8,12,13,14],[4,5,6,7,8,9,10]]; G[3279]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3280: autom. group order 2, simple, residual B[3280]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,12,14],[1,3,8,9,10,11,13],[1,4,5,8,9,12,14],[1,4,6,8,10,12,13],[1,4,6,9,11,13,14],[1,5,7,8,10,11,14],[1,5,7,9,11,12,13],[2,3,6,8,9,13,14],[2,3,7,8,9,11,12],[2,4,5,11,12,13,14],[2,4,7,8,10,12,13],[2,4,7,9,10,11,14],[2,5,6,8,10,11,14],[2,5,6,9,10,12,13],[3,4,5,6,7,11,13],[3,4,6,8,11,12,14],[3,4,7,9,10,13,14],[3,5,6,9,10,11,12],[3,5,7,8,12,13,14],[4,5,6,7,8,9,10]]; G[3280]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3281: autom. group order 2, simple, residual B[3281]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,12,14],[1,3,8,9,10,11,13],[1,4,5,8,9,12,14],[1,4,6,8,10,12,13],[1,4,6,9,11,13,14],[1,5,7,8,10,11,14],[1,5,7,9,11,12,13],[2,3,6,8,9,13,14],[2,3,7,8,9,11,12],[2,4,5,11,12,13,14],[2,4,7,8,10,13,14],[2,4,7,9,10,11,14],[2,5,6,8,10,11,12],[2,5,6,9,10,12,13],[3,4,5,6,7,11,13],[3,4,6,8,11,12,14],[3,4,7,9,10,12,13],[3,5,6,9,10,11,14],[3,5,7,8,12,13,14],[4,5,6,7,8,9,10]]; G[3281]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3282: autom. group order 2, simple, residual B[3282]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,12,14],[1,3,8,9,10,11,13],[1,4,5,8,9,12,14],[1,4,6,8,10,12,13],[1,4,6,9,11,13,14],[1,5,7,8,10,11,14],[1,5,7,9,11,12,13],[2,3,6,8,9,13,14],[2,3,7,8,9,11,12],[2,4,5,11,12,13,14],[2,4,7,8,10,12,13],[2,4,7,9,10,13,14],[2,5,6,8,10,11,14],[2,5,6,9,10,11,12],[3,4,5,6,7,11,13],[3,4,6,8,11,12,14],[3,4,7,9,10,11,14],[3,5,6,9,10,12,13],[3,5,7,8,12,13,14],[4,5,6,7,8,9,10]]; G[3282]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3283: autom. group order 2, simple, residual B[3283]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,12,14],[1,3,8,9,10,11,13],[1,4,5,8,9,12,14],[1,4,6,8,10,12,13],[1,4,6,9,11,13,14],[1,5,7,8,10,11,14],[1,5,7,9,11,12,13],[2,3,6,8,9,13,14],[2,3,7,8,9,11,12],[2,4,5,11,12,13,14],[2,4,7,8,10,13,14],[2,4,7,9,10,12,13],[2,5,6,8,10,11,12],[2,5,6,9,10,11,14],[3,4,5,6,7,11,13],[3,4,6,8,11,12,14],[3,4,7,9,10,11,14],[3,5,6,9,10,12,13],[3,5,7,8,12,13,14],[4,5,6,7,8,9,10]]; G[3283]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3284: autom. group order 2, simple, residual B[3284]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,11,13],[1,3,8,9,10,12,14],[1,4,5,8,9,11,13],[1,4,6,8,11,12,14],[1,4,6,9,10,12,13],[1,5,7,8,12,13,14],[1,5,7,9,10,11,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,7,8,10,11,14],[2,4,7,9,10,13,14],[2,5,6,8,10,12,13],[2,5,6,9,10,11,12],[3,4,5,6,7,12,14],[3,4,6,8,10,13,14],[3,4,7,9,11,12,13],[3,5,6,9,11,13,14],[3,5,7,8,10,11,12],[4,5,6,7,8,9,10]]; G[3284]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3285: autom. group order 2, simple, residual B[3285]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,11,13],[1,3,8,9,10,12,14],[1,4,5,8,9,11,13],[1,4,6,8,11,12,14],[1,4,6,9,10,13,14],[1,5,7,8,12,13,14],[1,5,7,9,10,11,12],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,7,8,10,11,14],[2,4,7,9,10,13,14],[2,5,6,8,10,12,13],[2,5,6,9,10,11,12],[3,4,5,6,7,12,14],[3,4,6,8,10,12,13],[3,4,7,9,11,12,13],[3,5,6,9,11,13,14],[3,5,7,8,10,11,14],[4,5,6,7,8,9,10]]; G[3285]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3286: autom. group order 2, simple, residual B[3286]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,11,13],[1,3,8,9,10,12,14],[1,4,5,8,9,11,13],[1,4,6,8,11,12,14],[1,4,6,9,10,12,13],[1,5,7,8,12,13,14],[1,5,7,9,10,11,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,7,8,10,13,14],[2,4,7,9,10,11,14],[2,5,6,8,10,11,12],[2,5,6,9,10,12,13],[3,4,5,6,7,12,14],[3,4,6,8,10,13,14],[3,4,7,9,11,12,13],[3,5,6,9,11,13,14],[3,5,7,8,10,11,12],[4,5,6,7,8,9,10]]; G[3286]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3287: autom. group order 2, simple, residual B[3287]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,11,13],[1,3,8,9,10,12,14],[1,4,5,8,9,11,13],[1,4,6,8,11,12,14],[1,4,6,9,10,13,14],[1,5,7,8,12,13,14],[1,5,7,9,10,11,12],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,7,8,10,13,14],[2,4,7,9,10,11,14],[2,5,6,8,10,11,12],[2,5,6,9,10,12,13],[3,4,5,6,7,12,14],[3,4,6,8,10,12,13],[3,4,7,9,11,12,13],[3,5,6,9,11,13,14],[3,5,7,8,10,11,14],[4,5,6,7,8,9,10]]; G[3287]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3288: autom. group order 2, simple, residual B[3288]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,11,13],[1,3,8,9,10,12,14],[1,4,5,8,9,11,13],[1,4,6,8,12,13,14],[1,4,6,9,10,11,12],[1,5,7,8,11,12,14],[1,5,7,9,10,13,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,7,8,10,11,14],[2,4,7,9,10,12,13],[2,5,6,8,10,12,13],[2,5,6,9,10,11,14],[3,4,5,6,7,12,14],[3,4,6,8,10,13,14],[3,4,7,9,11,13,14],[3,5,6,9,11,12,13],[3,5,7,8,10,11,12],[4,5,6,7,8,9,10]]; G[3288]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3289: autom. group order 2, simple, residual B[3289]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,11,13],[1,3,8,9,10,12,14],[1,4,5,8,9,11,13],[1,4,6,8,12,13,14],[1,4,6,9,10,11,12],[1,5,7,8,11,12,14],[1,5,7,9,10,13,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,7,8,10,12,13],[2,4,7,9,10,11,14],[2,5,6,8,10,11,14],[2,5,6,9,10,12,13],[3,4,5,6,7,12,14],[3,4,6,8,10,13,14],[3,4,7,9,11,13,14],[3,5,6,9,11,12,13],[3,5,7,8,10,11,12],[4,5,6,7,8,9,10]]; G[3289]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3290: autom. group order 2, simple, residual B[3290]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,11,13],[1,3,8,9,10,12,14],[1,4,5,8,9,11,13],[1,4,6,8,12,13,14],[1,4,6,9,10,13,14],[1,5,7,8,11,12,14],[1,5,7,9,10,11,12],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,7,8,10,11,14],[2,4,7,9,10,12,13],[2,5,6,8,10,12,13],[2,5,6,9,10,11,14],[3,4,5,6,7,12,14],[3,4,6,8,10,11,12],[3,4,7,9,11,13,14],[3,5,6,9,11,12,13],[3,5,7,8,10,13,14],[4,5,6,7,8,9,10]]; G[3290]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3291: autom. group order 2, simple, residual B[3291]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,11,13],[1,3,8,9,10,12,14],[1,4,5,8,9,11,13],[1,4,6,8,12,13,14],[1,4,6,9,10,13,14],[1,5,7,8,11,12,14],[1,5,7,9,10,11,12],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,7,8,10,12,13],[2,4,7,9,10,11,14],[2,5,6,8,10,11,14],[2,5,6,9,10,12,13],[3,4,5,6,7,12,14],[3,4,6,8,10,11,12],[3,4,7,9,11,13,14],[3,5,6,9,11,12,13],[3,5,7,8,10,13,14],[4,5,6,7,8,9,10]]; G[3291]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3292: autom. group order 2, simple, residual B[3292]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,6,9,10,11,12],[1,5,7,8,9,10,12],[1,5,7,9,10,13,14],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,7,8,10,11,14],[2,4,7,9,12,13,14],[2,5,6,8,10,12,13],[2,5,6,9,11,12,14],[3,4,5,6,7,12,14],[3,4,6,8,9,13,14],[3,4,7,8,10,12,13],[3,5,6,8,10,11,14],[3,5,7,8,9,11,12],[4,5,6,7,10,11,13]]; G[3292]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3293: autom. group order 2, simple, residual B[3293]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,6,9,10,11,14],[1,5,7,8,9,10,12],[1,5,7,9,10,12,13],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,7,8,10,11,12],[2,4,7,9,12,13,14],[2,5,6,8,10,13,14],[2,5,6,9,11,12,14],[3,4,5,6,7,12,14],[3,4,6,8,9,12,13],[3,4,7,8,10,13,14],[3,5,6,8,10,11,12],[3,5,7,8,9,11,14],[4,5,6,7,10,11,13]]; G[3293]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3294: autom. group order 2, simple, residual B[3294]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,6,9,10,11,14],[1,5,7,8,9,10,14],[1,5,7,9,10,12,13],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,7,8,10,12,13],[2,4,7,9,11,12,14],[2,5,6,8,10,11,14],[2,5,6,9,12,13,14],[3,4,5,6,7,12,14],[3,4,6,8,9,13,14],[3,4,7,8,10,13,14],[3,5,6,8,10,11,12],[3,5,7,8,9,11,12],[4,5,6,7,10,11,13]]; G[3294]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3295: autom. group order 2, simple, residual B[3295]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,6,9,10,11,14],[1,5,7,8,9,10,14],[1,5,7,9,10,12,13],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,7,8,10,13,14],[2,4,7,9,11,12,14],[2,5,6,8,10,11,12],[2,5,6,9,12,13,14],[3,4,5,6,7,12,14],[3,4,6,8,9,13,14],[3,4,7,8,10,12,13],[3,5,6,8,10,11,14],[3,5,7,8,9,11,12],[4,5,6,7,10,11,13]]; G[3295]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3296: autom. group order 2, simple, residual B[3296]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,6,9,10,11,12],[1,5,7,8,9,10,12],[1,5,7,9,10,13,14],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,7,8,10,12,13],[2,4,7,9,12,13,14],[2,5,6,8,10,11,14],[2,5,6,9,11,12,14],[3,4,5,6,7,12,14],[3,4,6,8,9,13,14],[3,4,7,8,10,11,14],[3,5,6,8,10,12,13],[3,5,7,8,9,11,12],[4,5,6,7,10,11,13]]; G[3296]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3297: autom. group order 2, simple, residual B[3297]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,6,9,10,11,14],[1,5,7,8,9,10,12],[1,5,7,9,10,12,13],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,7,8,10,13,14],[2,4,7,9,12,13,14],[2,5,6,8,10,11,12],[2,5,6,9,11,12,14],[3,4,5,6,7,12,14],[3,4,6,8,9,12,13],[3,4,7,8,10,11,12],[3,5,6,8,10,13,14],[3,5,7,8,9,11,14],[4,5,6,7,10,11,13]]; G[3297]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3298: autom. group order 2, simple, residual B[3298]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,6,9,10,12,13],[1,5,7,8,9,10,12],[1,5,7,9,10,11,14],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,7,8,10,11,12],[2,4,7,9,12,13,14],[2,5,6,8,10,13,14],[2,5,6,9,11,12,14],[3,4,5,6,7,12,14],[3,4,6,8,9,11,14],[3,4,7,8,10,13,14],[3,5,6,8,10,11,12],[3,5,7,8,9,12,13],[4,5,6,7,10,11,13]]; G[3298]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3299: autom. group order 2, simple, residual B[3299]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,6,9,10,13,14],[1,5,7,8,9,10,12],[1,5,7,9,10,11,12],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,7,8,10,11,14],[2,4,7,9,12,13,14],[2,5,6,8,10,12,13],[2,5,6,9,11,12,14],[3,4,5,6,7,12,14],[3,4,6,8,9,11,12],[3,4,7,8,10,12,13],[3,5,6,8,10,11,14],[3,5,7,8,9,13,14],[4,5,6,7,10,11,13]]; G[3299]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3300: autom. group order 2, simple, residual B[3300]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,6,9,10,13,14],[1,5,7,8,9,10,14],[1,5,7,9,10,11,12],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,7,8,10,12,13],[2,4,7,9,11,12,14],[2,5,6,8,10,11,14],[2,5,6,9,12,13,14],[3,4,5,6,7,12,14],[3,4,6,8,9,11,14],[3,4,7,8,10,13,14],[3,5,6,8,10,11,12],[3,5,7,8,9,12,13],[4,5,6,7,10,11,13]]; G[3300]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3301: autom. group order 2, simple, residual B[3301]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,6,9,10,13,14],[1,5,7,8,9,10,14],[1,5,7,9,10,11,12],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,7,8,10,13,14],[2,4,7,9,11,12,14],[2,5,6,8,10,11,12],[2,5,6,9,12,13,14],[3,4,5,6,7,12,14],[3,4,6,8,9,11,14],[3,4,7,8,10,12,13],[3,5,6,8,10,11,14],[3,5,7,8,9,12,13],[4,5,6,7,10,11,13]]; G[3301]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3302: autom. group order 2, simple, residual B[3302]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,6,9,10,12,13],[1,5,7,8,9,10,12],[1,5,7,9,10,11,14],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,7,8,10,13,14],[2,4,7,9,12,13,14],[2,5,6,8,10,11,12],[2,5,6,9,11,12,14],[3,4,5,6,7,12,14],[3,4,6,8,9,11,14],[3,4,7,8,10,11,12],[3,5,6,8,10,13,14],[3,5,7,8,9,12,13],[4,5,6,7,10,11,13]]; G[3302]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3303: autom. group order 2, simple, residual B[3303]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,6,9,10,13,14],[1,5,7,8,9,10,12],[1,5,7,9,10,11,12],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,7,8,10,12,13],[2,4,7,9,12,13,14],[2,5,6,8,10,11,14],[2,5,6,9,11,12,14],[3,4,5,6,7,12,14],[3,4,6,8,9,11,12],[3,4,7,8,10,11,14],[3,5,6,8,10,12,13],[3,5,7,8,9,13,14],[4,5,6,7,10,11,13]]; G[3303]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3304: autom. group order 2, simple, residual B[3304]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,6,9,10,11,12],[1,5,7,8,9,10,12],[1,5,7,9,10,13,14],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,7,8,10,11,14],[2,4,7,9,12,13,14],[2,5,6,8,10,12,13],[2,5,6,9,11,12,14],[3,4,5,6,7,12,14],[3,4,6,8,10,13,14],[3,4,7,8,9,12,13],[3,5,6,8,9,11,14],[3,5,7,8,10,11,12],[4,5,6,7,10,11,13]]; G[3304]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3305: autom. group order 2, simple, residual B[3305]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,6,9,10,11,14],[1,5,7,8,9,10,12],[1,5,7,9,10,12,13],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,7,8,10,11,12],[2,4,7,9,12,13,14],[2,5,6,8,10,13,14],[2,5,6,9,11,12,14],[3,4,5,6,7,12,14],[3,4,6,8,10,12,13],[3,4,7,8,9,13,14],[3,5,6,8,9,11,12],[3,5,7,8,10,11,14],[4,5,6,7,10,11,13]]; G[3305]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3306: autom. group order 2, simple, residual B[3306]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,6,9,10,11,14],[1,5,7,8,9,10,14],[1,5,7,9,10,12,13],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,7,8,10,12,13],[2,4,7,9,11,12,14],[2,5,6,8,10,11,14],[2,5,6,9,12,13,14],[3,4,5,6,7,12,14],[3,4,6,8,10,13,14],[3,4,7,8,9,13,14],[3,5,6,8,9,11,12],[3,5,7,8,10,11,12],[4,5,6,7,10,11,13]]; G[3306]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3307: autom. group order 2, simple, residual B[3307]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,6,9,10,11,14],[1,5,7,8,9,10,14],[1,5,7,9,10,12,13],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,7,8,10,13,14],[2,4,7,9,11,12,14],[2,5,6,8,10,11,12],[2,5,6,9,12,13,14],[3,4,5,6,7,12,14],[3,4,6,8,10,13,14],[3,4,7,8,9,12,13],[3,5,6,8,9,11,14],[3,5,7,8,10,11,12],[4,5,6,7,10,11,13]]; G[3307]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3308: autom. group order 2, simple, residual B[3308]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,6,9,10,11,12],[1,5,7,8,9,10,12],[1,5,7,9,10,13,14],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,7,8,10,12,13],[2,4,7,9,12,13,14],[2,5,6,8,10,11,14],[2,5,6,9,11,12,14],[3,4,5,6,7,12,14],[3,4,6,8,10,13,14],[3,4,7,8,9,11,14],[3,5,6,8,9,12,13],[3,5,7,8,10,11,12],[4,5,6,7,10,11,13]]; G[3308]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3309: autom. group order 2, simple, residual B[3309]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,6,9,10,11,14],[1,5,7,8,9,10,12],[1,5,7,9,10,12,13],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,7,8,10,13,14],[2,4,7,9,12,13,14],[2,5,6,8,10,11,12],[2,5,6,9,11,12,14],[3,4,5,6,7,12,14],[3,4,6,8,10,12,13],[3,4,7,8,9,11,12],[3,5,6,8,9,13,14],[3,5,7,8,10,11,14],[4,5,6,7,10,11,13]]; G[3309]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3310: autom. group order 2, simple, residual B[3310]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,6,9,10,12,13],[1,5,7,8,9,10,12],[1,5,7,9,10,11,14],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,7,8,10,11,12],[2,4,7,9,12,13,14],[2,5,6,8,10,13,14],[2,5,6,9,11,12,14],[3,4,5,6,7,12,14],[3,4,6,8,10,11,14],[3,4,7,8,9,13,14],[3,5,6,8,9,11,12],[3,5,7,8,10,12,13],[4,5,6,7,10,11,13]]; G[3310]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3311: autom. group order 2, simple, residual B[3311]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,6,9,10,13,14],[1,5,7,8,9,10,12],[1,5,7,9,10,11,12],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,7,8,10,11,14],[2,4,7,9,12,13,14],[2,5,6,8,10,12,13],[2,5,6,9,11,12,14],[3,4,5,6,7,12,14],[3,4,6,8,10,11,12],[3,4,7,8,9,12,13],[3,5,6,8,9,11,14],[3,5,7,8,10,13,14],[4,5,6,7,10,11,13]]; G[3311]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3312: autom. group order 2, simple, residual B[3312]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,6,9,10,13,14],[1,5,7,8,9,10,14],[1,5,7,9,10,11,12],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,7,8,10,12,13],[2,4,7,9,11,12,14],[2,5,6,8,10,11,14],[2,5,6,9,12,13,14],[3,4,5,6,7,12,14],[3,4,6,8,10,11,14],[3,4,7,8,9,13,14],[3,5,6,8,9,11,12],[3,5,7,8,10,12,13],[4,5,6,7,10,11,13]]; G[3312]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3313: autom. group order 2, simple, residual B[3313]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,6,9,10,13,14],[1,5,7,8,9,10,14],[1,5,7,9,10,11,12],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,7,8,10,13,14],[2,4,7,9,11,12,14],[2,5,6,8,10,11,12],[2,5,6,9,12,13,14],[3,4,5,6,7,12,14],[3,4,6,8,10,11,14],[3,4,7,8,9,12,13],[3,5,6,8,9,11,14],[3,5,7,8,10,12,13],[4,5,6,7,10,11,13]]; G[3313]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3314: autom. group order 2, simple, residual B[3314]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,6,9,10,12,13],[1,5,7,8,9,10,12],[1,5,7,9,10,11,14],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,7,8,10,13,14],[2,4,7,9,12,13,14],[2,5,6,8,10,11,12],[2,5,6,9,11,12,14],[3,4,5,6,7,12,14],[3,4,6,8,10,11,14],[3,4,7,8,9,11,12],[3,5,6,8,9,13,14],[3,5,7,8,10,12,13],[4,5,6,7,10,11,13]]; G[3314]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3315: autom. group order 2, simple, residual B[3315]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,6,9,10,13,14],[1,5,7,8,9,10,12],[1,5,7,9,10,11,12],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,7,8,10,12,13],[2,4,7,9,12,13,14],[2,5,6,8,10,11,14],[2,5,6,9,11,12,14],[3,4,5,6,7,12,14],[3,4,6,8,10,11,12],[3,4,7,8,9,11,14],[3,5,6,8,9,12,13],[3,5,7,8,10,13,14],[4,5,6,7,10,11,13]]; G[3315]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3316: autom. group order 2, simple B[3316]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,13],[1,3,6,9,11,13,14],[1,3,7,8,12,13,14],[1,4,5,7,9,11,14],[1,4,6,7,10,12,14],[1,4,6,8,9,10,12],[1,5,7,8,9,10,13],[1,5,8,10,11,12,14],[2,3,7,8,9,12,14],[2,3,7,9,10,11,12],[2,4,5,6,12,13,14],[2,4,7,9,10,13,14],[2,4,8,10,11,13,14],[2,5,6,7,8,10,11],[2,5,6,8,9,12,14],[3,4,5,8,11,12,13],[3,4,6,7,8,11,14],[3,4,6,8,9,10,13],[3,5,6,7,10,12,13],[3,5,6,9,10,11,14],[4,5,7,9,11,12,13]]; G[3316]:=Group([(1,13)(3,14)(5,10)(6,11)(7,8)]); # Design 3317: autom. group order 2, simple B[3317]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,13],[1,3,6,9,11,13,14],[1,3,7,8,12,13,14],[1,4,5,7,9,11,14],[1,4,6,7,10,12,14],[1,4,6,8,9,10,12],[1,5,7,8,10,12,13],[1,5,8,9,10,11,14],[2,3,7,8,9,12,14],[2,3,7,9,10,11,12],[2,4,5,6,12,13,14],[2,4,7,9,10,13,14],[2,4,8,10,11,13,14],[2,5,6,7,8,10,11],[2,5,6,8,9,12,14],[3,4,5,8,11,12,13],[3,4,6,7,8,11,14],[3,4,6,8,9,10,13],[3,5,6,7,9,10,13],[3,5,6,10,11,12,14],[4,5,7,9,11,12,13]]; G[3317]:=Group([(1,13)(3,14)(5,10)(6,11)(7,8)]); # Design 3318: autom. group order 2, simple, residual B[3318]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,14],[1,4,6,7,9,10,13],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[2,3,7,8,10,11,14],[2,3,7,9,10,12,13],[2,4,5,6,7,11,12],[2,4,7,8,11,13,14],[2,4,7,9,12,13,14],[2,5,6,8,10,12,13],[2,5,6,9,10,11,14],[3,4,5,8,9,13,14],[3,4,6,8,10,12,13],[3,4,6,9,10,11,14],[3,5,6,7,8,12,14],[3,5,6,7,9,11,13],[4,5,8,9,10,11,12]]; G[3318]:=Group([(8,9)(11,12)(13,14)]); # Design 3319: autom. group order 2, simple, residual B[3319]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,14],[1,4,6,7,9,10,13],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[2,3,7,8,10,11,14],[2,3,7,9,10,12,13],[2,4,5,6,7,11,12],[2,4,7,8,11,13,14],[2,4,7,9,12,13,14],[2,5,6,8,10,12,13],[2,5,6,9,10,11,14],[3,4,5,8,9,13,14],[3,4,6,8,10,12,14],[3,4,6,9,10,11,13],[3,5,6,7,8,12,13],[3,5,6,7,9,11,14],[4,5,8,9,10,11,12]]; G[3319]:=Group([(8,9)(11,12)(13,14)]); # Design 3320: autom. group order 2, simple, residual B[3320]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,14],[1,4,6,7,9,10,13],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[2,3,7,8,10,11,14],[2,3,7,9,10,12,13],[2,4,5,6,7,11,12],[2,4,7,8,11,13,14],[2,4,7,9,12,13,14],[2,5,6,8,10,12,14],[2,5,6,9,10,11,13],[3,4,5,8,9,13,14],[3,4,6,8,10,12,13],[3,4,6,9,10,11,14],[3,5,6,7,8,12,13],[3,5,6,7,9,11,14],[4,5,8,9,10,11,12]]; G[3320]:=Group([(8,9)(11,12)(13,14)]); # Design 3321: autom. group order 2, simple, residual B[3321]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,14],[1,4,6,7,9,10,13],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,10,11,13],[2,3,7,9,10,12,14],[2,4,5,6,7,11,12],[2,4,7,8,11,13,14],[2,4,7,9,12,13,14],[2,5,6,8,10,12,13],[2,5,6,9,10,11,14],[3,4,5,8,9,13,14],[3,4,6,8,10,12,13],[3,4,6,9,10,11,14],[3,5,6,7,8,12,14],[3,5,6,7,9,11,13],[4,5,8,9,10,11,12]]; G[3321]:=Group([(8,9)(11,12)(13,14)]); # Design 3322: autom. group order 2, simple, residual B[3322]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,14],[1,4,6,7,9,10,13],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,10,11,13],[2,3,7,9,10,12,14],[2,4,5,6,7,11,12],[2,4,7,8,11,13,14],[2,4,7,9,12,13,14],[2,5,6,8,10,12,13],[2,5,6,9,10,11,14],[3,4,5,8,9,13,14],[3,4,6,8,10,12,14],[3,4,6,9,10,11,13],[3,5,6,7,8,12,13],[3,5,6,7,9,11,14],[4,5,8,9,10,11,12]]; G[3322]:=Group([(8,9)(11,12)(13,14)]); # Design 3323: autom. group order 2, simple, residual B[3323]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,14],[1,4,6,7,9,10,13],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,10,11,13],[2,3,7,9,10,12,14],[2,4,5,6,7,11,12],[2,4,7,8,11,13,14],[2,4,7,9,12,13,14],[2,5,6,8,10,12,14],[2,5,6,9,10,11,13],[3,4,5,8,9,13,14],[3,4,6,8,10,12,13],[3,4,6,9,10,11,14],[3,5,6,7,8,12,13],[3,5,6,7,9,11,14],[4,5,8,9,10,11,12]]; G[3323]:=Group([(8,9)(11,12)(13,14)]); # Design 3324: autom. group order 2, simple, residual B[3324]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,13],[1,4,6,7,9,10,14],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[2,3,7,8,10,11,14],[2,3,7,9,10,12,13],[2,4,5,6,7,11,12],[2,4,7,8,12,13,14],[2,4,7,9,11,13,14],[2,5,6,8,10,11,14],[2,5,6,9,10,12,13],[3,4,5,8,9,13,14],[3,4,6,8,10,12,13],[3,4,6,9,10,11,14],[3,5,6,7,8,12,14],[3,5,6,7,9,11,13],[4,5,8,9,10,11,12]]; G[3324]:=Group([(8,9)(11,12)(13,14)]); # Design 3325: autom. group order 2, simple, residual B[3325]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,13],[1,4,6,7,9,10,14],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[2,3,7,8,10,11,14],[2,3,7,9,10,12,13],[2,4,5,6,7,11,12],[2,4,7,8,12,13,14],[2,4,7,9,11,13,14],[2,5,6,8,10,11,14],[2,5,6,9,10,12,13],[3,4,5,8,9,13,14],[3,4,6,8,10,12,14],[3,4,6,9,10,11,13],[3,5,6,7,8,12,13],[3,5,6,7,9,11,14],[4,5,8,9,10,11,12]]; G[3325]:=Group([(8,9)(11,12)(13,14)]); # Design 3326: autom. group order 2, simple, residual B[3326]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,13],[1,4,6,7,9,10,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,10,11,13],[2,3,7,9,10,12,14],[2,4,5,6,7,11,12],[2,4,7,8,12,13,14],[2,4,7,9,11,13,14],[2,5,6,8,10,11,14],[2,5,6,9,10,12,13],[3,4,5,8,9,13,14],[3,4,6,8,10,12,13],[3,4,6,9,10,11,14],[3,5,6,7,8,12,14],[3,5,6,7,9,11,13],[4,5,8,9,10,11,12]]; G[3326]:=Group([(8,9)(11,12)(13,14)]); # Design 3327: autom. group order 2, simple, residual B[3327]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,13],[1,4,6,7,9,10,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,10,11,13],[2,3,7,9,10,12,14],[2,4,5,6,7,11,12],[2,4,7,8,12,13,14],[2,4,7,9,11,13,14],[2,5,6,8,10,11,14],[2,5,6,9,10,12,13],[3,4,5,8,9,13,14],[3,4,6,8,10,12,14],[3,4,6,9,10,11,13],[3,5,6,7,8,12,13],[3,5,6,7,9,11,14],[4,5,8,9,10,11,12]]; G[3327]:=Group([(8,9)(11,12)(13,14)]); # Design 3328: autom. group order 2, simple, residual B[3328]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,13],[1,4,6,7,9,10,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,10,11,14],[2,3,7,9,10,12,13],[2,4,5,6,7,11,12],[2,4,7,8,12,13,14],[2,4,7,9,11,13,14],[2,5,6,8,10,11,13],[2,5,6,9,10,12,14],[3,4,5,8,9,13,14],[3,4,6,8,10,12,13],[3,4,6,9,10,11,14],[3,5,6,7,8,12,14],[3,5,6,7,9,11,13],[4,5,8,9,10,11,12]]; G[3328]:=Group([(8,9)(11,12)(13,14)]); # Design 3329: autom. group order 2, simple, residual B[3329]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,13],[1,4,6,7,9,10,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,10,11,14],[2,3,7,9,10,12,13],[2,4,5,6,7,11,12],[2,4,7,8,12,13,14],[2,4,7,9,11,13,14],[2,5,6,8,10,11,13],[2,5,6,9,10,12,14],[3,4,5,8,9,13,14],[3,4,6,8,10,12,14],[3,4,6,9,10,11,13],[3,5,6,7,8,12,13],[3,5,6,7,9,11,14],[4,5,8,9,10,11,12]]; G[3329]:=Group([(8,9)(11,12)(13,14)]); # Design 3330: autom. group order 2, simple, residual B[3330]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,13],[1,4,6,7,9,10,14],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[2,3,7,8,10,11,14],[2,3,7,9,10,12,13],[2,4,5,6,7,11,12],[2,4,7,8,12,13,14],[2,4,7,9,11,13,14],[2,5,6,8,10,12,13],[2,5,6,9,10,11,14],[3,4,5,8,9,13,14],[3,4,6,8,10,11,14],[3,4,6,9,10,12,13],[3,5,6,7,8,12,14],[3,5,6,7,9,11,13],[4,5,8,9,10,11,12]]; G[3330]:=Group([(8,9)(11,12)(13,14)]); # Design 3331: autom. group order 2, simple, residual B[3331]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,13],[1,4,6,7,9,10,14],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[2,3,7,8,10,11,14],[2,3,7,9,10,12,13],[2,4,5,6,7,11,12],[2,4,7,8,12,13,14],[2,4,7,9,11,13,14],[2,5,6,8,10,12,14],[2,5,6,9,10,11,13],[3,4,5,8,9,13,14],[3,4,6,8,10,11,14],[3,4,6,9,10,12,13],[3,5,6,7,8,12,13],[3,5,6,7,9,11,14],[4,5,8,9,10,11,12]]; G[3331]:=Group([(8,9)(11,12)(13,14)]); # Design 3332: autom. group order 2, simple, residual B[3332]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,13],[1,4,6,7,9,10,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,10,11,13],[2,3,7,9,10,12,14],[2,4,5,6,7,11,12],[2,4,7,8,12,13,14],[2,4,7,9,11,13,14],[2,5,6,8,10,12,13],[2,5,6,9,10,11,14],[3,4,5,8,9,13,14],[3,4,6,8,10,11,14],[3,4,6,9,10,12,13],[3,5,6,7,8,12,14],[3,5,6,7,9,11,13],[4,5,8,9,10,11,12]]; G[3332]:=Group([(8,9)(11,12)(13,14)]); # Design 3333: autom. group order 2, simple, residual B[3333]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,13],[1,4,6,7,9,10,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,10,11,13],[2,3,7,9,10,12,14],[2,4,5,6,7,11,12],[2,4,7,8,12,13,14],[2,4,7,9,11,13,14],[2,5,6,8,10,12,14],[2,5,6,9,10,11,13],[3,4,5,8,9,13,14],[3,4,6,8,10,11,14],[3,4,6,9,10,12,13],[3,5,6,7,8,12,13],[3,5,6,7,9,11,14],[4,5,8,9,10,11,12]]; G[3333]:=Group([(8,9)(11,12)(13,14)]); # Design 3334: autom. group order 2, simple, residual B[3334]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,13],[1,4,6,7,9,10,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,10,11,14],[2,3,7,9,10,12,13],[2,4,5,6,7,11,12],[2,4,7,8,12,13,14],[2,4,7,9,11,13,14],[2,5,6,8,10,12,13],[2,5,6,9,10,11,14],[3,4,5,8,9,13,14],[3,4,6,8,10,11,13],[3,4,6,9,10,12,14],[3,5,6,7,8,12,14],[3,5,6,7,9,11,13],[4,5,8,9,10,11,12]]; G[3334]:=Group([(8,9)(11,12)(13,14)]); # Design 3335: autom. group order 2, simple, residual B[3335]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,13],[1,4,6,7,9,10,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,10,11,14],[2,3,7,9,10,12,13],[2,4,5,6,7,11,12],[2,4,7,8,12,13,14],[2,4,7,9,11,13,14],[2,5,6,8,10,12,14],[2,5,6,9,10,11,13],[3,4,5,8,9,13,14],[3,4,6,8,10,11,13],[3,4,6,9,10,12,14],[3,5,6,7,8,12,13],[3,5,6,7,9,11,14],[4,5,8,9,10,11,12]]; G[3335]:=Group([(8,9)(11,12)(13,14)]); # Design 3336: autom. group order 2, simple, residual B[3336]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,13],[1,4,6,7,9,10,14],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[2,3,7,8,10,11,14],[2,3,7,9,10,12,13],[2,4,5,6,7,11,12],[2,4,7,8,12,13,14],[2,4,7,9,11,13,14],[2,5,6,8,10,12,13],[2,5,6,9,10,11,14],[3,4,5,8,9,13,14],[3,4,6,8,10,12,14],[3,4,6,9,10,11,13],[3,5,6,7,8,11,14],[3,5,6,7,9,12,13],[4,5,8,9,10,11,12]]; G[3336]:=Group([(8,9)(11,12)(13,14)]); # Design 3337: autom. group order 2, simple, residual B[3337]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,13],[1,4,6,7,9,10,14],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[2,3,7,8,10,11,14],[2,3,7,9,10,12,13],[2,4,5,6,7,11,12],[2,4,7,8,12,13,14],[2,4,7,9,11,13,14],[2,5,6,8,10,12,14],[2,5,6,9,10,11,13],[3,4,5,8,9,13,14],[3,4,6,8,10,12,13],[3,4,6,9,10,11,14],[3,5,6,7,8,11,14],[3,5,6,7,9,12,13],[4,5,8,9,10,11,12]]; G[3337]:=Group([(8,9)(11,12)(13,14)]); # Design 3338: autom. group order 2, simple, residual B[3338]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,13],[1,4,6,7,9,10,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,10,11,13],[2,3,7,9,10,12,14],[2,4,5,6,7,11,12],[2,4,7,8,12,13,14],[2,4,7,9,11,13,14],[2,5,6,8,10,12,13],[2,5,6,9,10,11,14],[3,4,5,8,9,13,14],[3,4,6,8,10,12,14],[3,4,6,9,10,11,13],[3,5,6,7,8,11,14],[3,5,6,7,9,12,13],[4,5,8,9,10,11,12]]; G[3338]:=Group([(8,9)(11,12)(13,14)]); # Design 3339: autom. group order 2, simple, residual B[3339]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,13],[1,4,6,7,9,10,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,10,11,13],[2,3,7,9,10,12,14],[2,4,5,6,7,11,12],[2,4,7,8,12,13,14],[2,4,7,9,11,13,14],[2,5,6,8,10,12,14],[2,5,6,9,10,11,13],[3,4,5,8,9,13,14],[3,4,6,8,10,12,13],[3,4,6,9,10,11,14],[3,5,6,7,8,11,14],[3,5,6,7,9,12,13],[4,5,8,9,10,11,12]]; G[3339]:=Group([(8,9)(11,12)(13,14)]); # Design 3340: autom. group order 2, simple, residual B[3340]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,13],[1,4,6,7,9,10,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,10,11,14],[2,3,7,9,10,12,13],[2,4,5,6,7,11,12],[2,4,7,8,12,13,14],[2,4,7,9,11,13,14],[2,5,6,8,10,12,13],[2,5,6,9,10,11,14],[3,4,5,8,9,13,14],[3,4,6,8,10,12,14],[3,4,6,9,10,11,13],[3,5,6,7,8,11,13],[3,5,6,7,9,12,14],[4,5,8,9,10,11,12]]; G[3340]:=Group([(8,9)(11,12)(13,14)]); # Design 3341: autom. group order 2, simple, residual B[3341]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,13],[1,4,6,7,9,10,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,10,11,14],[2,3,7,9,10,12,13],[2,4,5,6,7,11,12],[2,4,7,8,12,13,14],[2,4,7,9,11,13,14],[2,5,6,8,10,12,14],[2,5,6,9,10,11,13],[3,4,5,8,9,13,14],[3,4,6,8,10,12,13],[3,4,6,9,10,11,14],[3,5,6,7,8,11,13],[3,5,6,7,9,12,14],[4,5,8,9,10,11,12]]; G[3341]:=Group([(8,9)(11,12)(13,14)]); # Design 3342: autom. group order 2, simple, residual B[3342]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,14],[1,4,6,7,9,10,13],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[2,3,7,8,10,12,13],[2,3,7,9,10,11,14],[2,4,5,6,7,11,12],[2,4,7,8,11,13,14],[2,4,7,9,12,13,14],[2,5,6,8,10,11,14],[2,5,6,9,10,12,13],[3,4,5,8,9,13,14],[3,4,6,8,10,12,13],[3,4,6,9,10,11,14],[3,5,6,7,8,12,14],[3,5,6,7,9,11,13],[4,5,8,9,10,11,12]]; G[3342]:=Group([(8,9)(11,12)(13,14)]); # Design 3343: autom. group order 2, simple, residual B[3343]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,14],[1,4,6,7,9,10,13],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[2,3,7,8,10,12,13],[2,3,7,9,10,11,14],[2,4,5,6,7,11,12],[2,4,7,8,11,13,14],[2,4,7,9,12,13,14],[2,5,6,8,10,11,14],[2,5,6,9,10,12,13],[3,4,5,8,9,13,14],[3,4,6,8,10,12,14],[3,4,6,9,10,11,13],[3,5,6,7,8,12,13],[3,5,6,7,9,11,14],[4,5,8,9,10,11,12]]; G[3343]:=Group([(8,9)(11,12)(13,14)]); # Design 3344: autom. group order 2, simple, residual B[3344]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,14],[1,4,6,7,9,10,13],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[2,3,7,8,10,12,14],[2,3,7,9,10,11,13],[2,4,5,6,7,11,12],[2,4,7,8,11,13,14],[2,4,7,9,12,13,14],[2,5,6,8,10,11,14],[2,5,6,9,10,12,13],[3,4,5,8,9,13,14],[3,4,6,8,10,12,13],[3,4,6,9,10,11,14],[3,5,6,7,8,12,13],[3,5,6,7,9,11,14],[4,5,8,9,10,11,12]]; G[3344]:=Group([(8,9)(11,12)(13,14)]); # Design 3345: autom. group order 2, simple, residual B[3345]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,14],[1,4,6,7,9,10,13],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,10,12,13],[2,3,7,9,10,11,14],[2,4,5,6,7,11,12],[2,4,7,8,11,13,14],[2,4,7,9,12,13,14],[2,5,6,8,10,11,13],[2,5,6,9,10,12,14],[3,4,5,8,9,13,14],[3,4,6,8,10,12,13],[3,4,6,9,10,11,14],[3,5,6,7,8,12,14],[3,5,6,7,9,11,13],[4,5,8,9,10,11,12]]; G[3345]:=Group([(8,9)(11,12)(13,14)]); # Design 3346: autom. group order 2, simple, residual B[3346]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,14],[1,4,6,7,9,10,13],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,10,12,13],[2,3,7,9,10,11,14],[2,4,5,6,7,11,12],[2,4,7,8,11,13,14],[2,4,7,9,12,13,14],[2,5,6,8,10,11,13],[2,5,6,9,10,12,14],[3,4,5,8,9,13,14],[3,4,6,8,10,12,14],[3,4,6,9,10,11,13],[3,5,6,7,8,12,13],[3,5,6,7,9,11,14],[4,5,8,9,10,11,12]]; G[3346]:=Group([(8,9)(11,12)(13,14)]); # Design 3347: autom. group order 2, simple, residual B[3347]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,14],[1,4,6,7,9,10,13],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,10,12,14],[2,3,7,9,10,11,13],[2,4,5,6,7,11,12],[2,4,7,8,11,13,14],[2,4,7,9,12,13,14],[2,5,6,8,10,11,13],[2,5,6,9,10,12,14],[3,4,5,8,9,13,14],[3,4,6,8,10,12,13],[3,4,6,9,10,11,14],[3,5,6,7,8,12,13],[3,5,6,7,9,11,14],[4,5,8,9,10,11,12]]; G[3347]:=Group([(8,9)(11,12)(13,14)]); # Design 3348: autom. group order 2, simple, residual B[3348]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,14],[1,4,6,7,9,10,13],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[2,3,7,8,10,12,13],[2,3,7,9,10,11,14],[2,4,5,6,7,11,12],[2,4,7,8,11,13,14],[2,4,7,9,12,13,14],[2,5,6,8,10,12,13],[2,5,6,9,10,11,14],[3,4,5,8,9,13,14],[3,4,6,8,10,11,14],[3,4,6,9,10,12,13],[3,5,6,7,8,12,14],[3,5,6,7,9,11,13],[4,5,8,9,10,11,12]]; G[3348]:=Group([(8,9)(11,12)(13,14)]); # Design 3349: autom. group order 2, simple, residual B[3349]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,14],[1,4,6,7,9,10,13],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[2,3,7,8,10,12,13],[2,3,7,9,10,11,14],[2,4,5,6,7,11,12],[2,4,7,8,11,13,14],[2,4,7,9,12,13,14],[2,5,6,8,10,12,14],[2,5,6,9,10,11,13],[3,4,5,8,9,13,14],[3,4,6,8,10,11,14],[3,4,6,9,10,12,13],[3,5,6,7,8,12,13],[3,5,6,7,9,11,14],[4,5,8,9,10,11,12]]; G[3349]:=Group([(8,9)(11,12)(13,14)]); # Design 3350: autom. group order 2, simple, residual B[3350]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,14],[1,4,6,7,9,10,13],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[2,3,7,8,10,12,14],[2,3,7,9,10,11,13],[2,4,5,6,7,11,12],[2,4,7,8,11,13,14],[2,4,7,9,12,13,14],[2,5,6,8,10,12,13],[2,5,6,9,10,11,14],[3,4,5,8,9,13,14],[3,4,6,8,10,11,14],[3,4,6,9,10,12,13],[3,5,6,7,8,12,13],[3,5,6,7,9,11,14],[4,5,8,9,10,11,12]]; G[3350]:=Group([(8,9)(11,12)(13,14)]); # Design 3351: autom. group order 2, simple, residual B[3351]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,14],[1,4,6,7,9,10,13],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,10,12,13],[2,3,7,9,10,11,14],[2,4,5,6,7,11,12],[2,4,7,8,11,13,14],[2,4,7,9,12,13,14],[2,5,6,8,10,12,13],[2,5,6,9,10,11,14],[3,4,5,8,9,13,14],[3,4,6,8,10,11,13],[3,4,6,9,10,12,14],[3,5,6,7,8,12,14],[3,5,6,7,9,11,13],[4,5,8,9,10,11,12]]; G[3351]:=Group([(8,9)(11,12)(13,14)]); # Design 3352: autom. group order 2, simple, residual B[3352]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,14],[1,4,6,7,9,10,13],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,10,12,13],[2,3,7,9,10,11,14],[2,4,5,6,7,11,12],[2,4,7,8,11,13,14],[2,4,7,9,12,13,14],[2,5,6,8,10,12,14],[2,5,6,9,10,11,13],[3,4,5,8,9,13,14],[3,4,6,8,10,11,13],[3,4,6,9,10,12,14],[3,5,6,7,8,12,13],[3,5,6,7,9,11,14],[4,5,8,9,10,11,12]]; G[3352]:=Group([(8,9)(11,12)(13,14)]); # Design 3353: autom. group order 2, simple, residual B[3353]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,14],[1,4,6,7,9,10,13],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,10,12,14],[2,3,7,9,10,11,13],[2,4,5,6,7,11,12],[2,4,7,8,11,13,14],[2,4,7,9,12,13,14],[2,5,6,8,10,12,13],[2,5,6,9,10,11,14],[3,4,5,8,9,13,14],[3,4,6,8,10,11,13],[3,4,6,9,10,12,14],[3,5,6,7,8,12,13],[3,5,6,7,9,11,14],[4,5,8,9,10,11,12]]; G[3353]:=Group([(8,9)(11,12)(13,14)]); # Design 3354: autom. group order 2, simple, residual B[3354]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,14],[1,4,6,7,9,10,13],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[2,3,7,8,10,12,13],[2,3,7,9,10,11,14],[2,4,5,6,7,11,12],[2,4,7,8,11,13,14],[2,4,7,9,12,13,14],[2,5,6,8,10,12,13],[2,5,6,9,10,11,14],[3,4,5,8,9,13,14],[3,4,6,8,10,12,14],[3,4,6,9,10,11,13],[3,5,6,7,8,11,14],[3,5,6,7,9,12,13],[4,5,8,9,10,11,12]]; G[3354]:=Group([(8,9)(11,12)(13,14)]); # Design 3355: autom. group order 2, simple, residual B[3355]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,14],[1,4,6,7,9,10,13],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[2,3,7,8,10,12,13],[2,3,7,9,10,11,14],[2,4,5,6,7,11,12],[2,4,7,8,11,13,14],[2,4,7,9,12,13,14],[2,5,6,8,10,12,14],[2,5,6,9,10,11,13],[3,4,5,8,9,13,14],[3,4,6,8,10,12,13],[3,4,6,9,10,11,14],[3,5,6,7,8,11,14],[3,5,6,7,9,12,13],[4,5,8,9,10,11,12]]; G[3355]:=Group([(8,9)(11,12)(13,14)]); # Design 3356: autom. group order 2, simple, residual B[3356]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,14],[1,4,6,7,9,10,13],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[2,3,7,8,10,12,14],[2,3,7,9,10,11,13],[2,4,5,6,7,11,12],[2,4,7,8,11,13,14],[2,4,7,9,12,13,14],[2,5,6,8,10,12,13],[2,5,6,9,10,11,14],[3,4,5,8,9,13,14],[3,4,6,8,10,12,13],[3,4,6,9,10,11,14],[3,5,6,7,8,11,14],[3,5,6,7,9,12,13],[4,5,8,9,10,11,12]]; G[3356]:=Group([(8,9)(11,12)(13,14)]); # Design 3357: autom. group order 2, simple, residual B[3357]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,14],[1,4,6,7,9,10,13],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,10,12,13],[2,3,7,9,10,11,14],[2,4,5,6,7,11,12],[2,4,7,8,11,13,14],[2,4,7,9,12,13,14],[2,5,6,8,10,12,13],[2,5,6,9,10,11,14],[3,4,5,8,9,13,14],[3,4,6,8,10,12,14],[3,4,6,9,10,11,13],[3,5,6,7,8,11,13],[3,5,6,7,9,12,14],[4,5,8,9,10,11,12]]; G[3357]:=Group([(8,9)(11,12)(13,14)]); # Design 3358: autom. group order 2, simple, residual B[3358]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,14],[1,4,6,7,9,10,13],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,10,12,13],[2,3,7,9,10,11,14],[2,4,5,6,7,11,12],[2,4,7,8,11,13,14],[2,4,7,9,12,13,14],[2,5,6,8,10,12,14],[2,5,6,9,10,11,13],[3,4,5,8,9,13,14],[3,4,6,8,10,12,13],[3,4,6,9,10,11,14],[3,5,6,7,8,11,13],[3,5,6,7,9,12,14],[4,5,8,9,10,11,12]]; G[3358]:=Group([(8,9)(11,12)(13,14)]); # Design 3359: autom. group order 2, simple, residual B[3359]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,14],[1,4,6,7,9,10,13],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,10,12,14],[2,3,7,9,10,11,13],[2,4,5,6,7,11,12],[2,4,7,8,11,13,14],[2,4,7,9,12,13,14],[2,5,6,8,10,12,13],[2,5,6,9,10,11,14],[3,4,5,8,9,13,14],[3,4,6,8,10,12,13],[3,4,6,9,10,11,14],[3,5,6,7,8,11,13],[3,5,6,7,9,12,14],[4,5,8,9,10,11,12]]; G[3359]:=Group([(8,9)(11,12)(13,14)]); # Design 3360: autom. group order 2, simple, residual B[3360]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,13],[1,4,6,7,9,10,14],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[2,3,7,8,10,12,13],[2,3,7,9,10,11,14],[2,4,5,6,7,11,12],[2,4,7,8,12,13,14],[2,4,7,9,11,13,14],[2,5,6,8,10,11,14],[2,5,6,9,10,12,13],[3,4,5,8,9,13,14],[3,4,6,8,10,11,14],[3,4,6,9,10,12,13],[3,5,6,7,8,12,14],[3,5,6,7,9,11,13],[4,5,8,9,10,11,12]]; G[3360]:=Group([(8,9)(11,12)(13,14)]); # Design 3361: autom. group order 2, simple, residual B[3361]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,13],[1,4,6,7,9,10,14],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[2,3,7,8,10,12,14],[2,3,7,9,10,11,13],[2,4,5,6,7,11,12],[2,4,7,8,12,13,14],[2,4,7,9,11,13,14],[2,5,6,8,10,11,14],[2,5,6,9,10,12,13],[3,4,5,8,9,13,14],[3,4,6,8,10,11,14],[3,4,6,9,10,12,13],[3,5,6,7,8,12,13],[3,5,6,7,9,11,14],[4,5,8,9,10,11,12]]; G[3361]:=Group([(8,9)(11,12)(13,14)]); # Design 3362: autom. group order 2, simple, residual B[3362]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,13],[1,4,6,7,9,10,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,10,12,13],[2,3,7,9,10,11,14],[2,4,5,6,7,11,12],[2,4,7,8,12,13,14],[2,4,7,9,11,13,14],[2,5,6,8,10,11,13],[2,5,6,9,10,12,14],[3,4,5,8,9,13,14],[3,4,6,8,10,11,14],[3,4,6,9,10,12,13],[3,5,6,7,8,12,14],[3,5,6,7,9,11,13],[4,5,8,9,10,11,12]]; G[3362]:=Group([(8,9)(11,12)(13,14)]); # Design 3363: autom. group order 2, simple, residual B[3363]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,13],[1,4,6,7,9,10,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,10,12,13],[2,3,7,9,10,11,14],[2,4,5,6,7,11,12],[2,4,7,8,12,13,14],[2,4,7,9,11,13,14],[2,5,6,8,10,11,14],[2,5,6,9,10,12,13],[3,4,5,8,9,13,14],[3,4,6,8,10,11,13],[3,4,6,9,10,12,14],[3,5,6,7,8,12,14],[3,5,6,7,9,11,13],[4,5,8,9,10,11,12]]; G[3363]:=Group([(8,9)(11,12)(13,14)]); # Design 3364: autom. group order 2, simple, residual B[3364]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,13],[1,4,6,7,9,10,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,10,12,14],[2,3,7,9,10,11,13],[2,4,5,6,7,11,12],[2,4,7,8,12,13,14],[2,4,7,9,11,13,14],[2,5,6,8,10,11,13],[2,5,6,9,10,12,14],[3,4,5,8,9,13,14],[3,4,6,8,10,11,14],[3,4,6,9,10,12,13],[3,5,6,7,8,12,13],[3,5,6,7,9,11,14],[4,5,8,9,10,11,12]]; G[3364]:=Group([(8,9)(11,12)(13,14)]); # Design 3365: autom. group order 2, simple, residual B[3365]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,13],[1,4,6,7,9,10,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,10,12,14],[2,3,7,9,10,11,13],[2,4,5,6,7,11,12],[2,4,7,8,12,13,14],[2,4,7,9,11,13,14],[2,5,6,8,10,11,14],[2,5,6,9,10,12,13],[3,4,5,8,9,13,14],[3,4,6,8,10,11,13],[3,4,6,9,10,12,14],[3,5,6,7,8,12,13],[3,5,6,7,9,11,14],[4,5,8,9,10,11,12]]; G[3365]:=Group([(8,9)(11,12)(13,14)]); # Design 3366: autom. group order 2, simple, residual B[3366]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,13],[1,4,6,7,9,10,14],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[2,3,7,8,10,12,13],[2,3,7,9,10,11,14],[2,4,5,6,7,11,12],[2,4,7,8,12,13,14],[2,4,7,9,11,13,14],[2,5,6,8,10,11,14],[2,5,6,9,10,12,13],[3,4,5,8,9,13,14],[3,4,6,8,10,12,14],[3,4,6,9,10,11,13],[3,5,6,7,8,11,14],[3,5,6,7,9,12,13],[4,5,8,9,10,11,12]]; G[3366]:=Group([(8,9)(11,12)(13,14)]); # Design 3367: autom. group order 2, simple, residual B[3367]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,13],[1,4,6,7,9,10,14],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[2,3,7,8,10,12,14],[2,3,7,9,10,11,13],[2,4,5,6,7,11,12],[2,4,7,8,12,13,14],[2,4,7,9,11,13,14],[2,5,6,8,10,11,14],[2,5,6,9,10,12,13],[3,4,5,8,9,13,14],[3,4,6,8,10,12,13],[3,4,6,9,10,11,14],[3,5,6,7,8,11,14],[3,5,6,7,9,12,13],[4,5,8,9,10,11,12]]; G[3367]:=Group([(8,9)(11,12)(13,14)]); # Design 3368: autom. group order 2, simple, residual B[3368]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,13],[1,4,6,7,9,10,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,10,12,13],[2,3,7,9,10,11,14],[2,4,5,6,7,11,12],[2,4,7,8,12,13,14],[2,4,7,9,11,13,14],[2,5,6,8,10,11,13],[2,5,6,9,10,12,14],[3,4,5,8,9,13,14],[3,4,6,8,10,12,14],[3,4,6,9,10,11,13],[3,5,6,7,8,11,14],[3,5,6,7,9,12,13],[4,5,8,9,10,11,12]]; G[3368]:=Group([(8,9)(11,12)(13,14)]); # Design 3369: autom. group order 2, simple, residual B[3369]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,13],[1,4,6,7,9,10,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,10,12,13],[2,3,7,9,10,11,14],[2,4,5,6,7,11,12],[2,4,7,8,12,13,14],[2,4,7,9,11,13,14],[2,5,6,8,10,11,14],[2,5,6,9,10,12,13],[3,4,5,8,9,13,14],[3,4,6,8,10,12,14],[3,4,6,9,10,11,13],[3,5,6,7,8,11,13],[3,5,6,7,9,12,14],[4,5,8,9,10,11,12]]; G[3369]:=Group([(8,9)(11,12)(13,14)]); # Design 3370: autom. group order 2, simple, residual B[3370]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,13],[1,4,6,7,9,10,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,10,12,14],[2,3,7,9,10,11,13],[2,4,5,6,7,11,12],[2,4,7,8,12,13,14],[2,4,7,9,11,13,14],[2,5,6,8,10,11,13],[2,5,6,9,10,12,14],[3,4,5,8,9,13,14],[3,4,6,8,10,12,13],[3,4,6,9,10,11,14],[3,5,6,7,8,11,14],[3,5,6,7,9,12,13],[4,5,8,9,10,11,12]]; G[3370]:=Group([(8,9)(11,12)(13,14)]); # Design 3371: autom. group order 2, simple, residual B[3371]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,13],[1,4,6,7,9,10,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,10,12,14],[2,3,7,9,10,11,13],[2,4,5,6,7,11,12],[2,4,7,8,12,13,14],[2,4,7,9,11,13,14],[2,5,6,8,10,11,14],[2,5,6,9,10,12,13],[3,4,5,8,9,13,14],[3,4,6,8,10,12,13],[3,4,6,9,10,11,14],[3,5,6,7,8,11,13],[3,5,6,7,9,12,14],[4,5,8,9,10,11,12]]; G[3371]:=Group([(8,9)(11,12)(13,14)]); # Design 3372: autom. group order 2, simple, residual B[3372]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,13],[1,4,6,7,9,10,14],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[2,3,7,8,10,12,13],[2,3,7,9,10,11,14],[2,4,5,6,7,11,12],[2,4,7,8,12,13,14],[2,4,7,9,11,13,14],[2,5,6,8,10,12,14],[2,5,6,9,10,11,13],[3,4,5,8,9,13,14],[3,4,6,8,10,11,14],[3,4,6,9,10,12,13],[3,5,6,7,8,11,14],[3,5,6,7,9,12,13],[4,5,8,9,10,11,12]]; G[3372]:=Group([(8,9)(11,12)(13,14)]); # Design 3373: autom. group order 2, simple, residual B[3373]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,13],[1,4,6,7,9,10,14],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[2,3,7,8,10,12,14],[2,3,7,9,10,11,13],[2,4,5,6,7,11,12],[2,4,7,8,12,13,14],[2,4,7,9,11,13,14],[2,5,6,8,10,12,13],[2,5,6,9,10,11,14],[3,4,5,8,9,13,14],[3,4,6,8,10,11,14],[3,4,6,9,10,12,13],[3,5,6,7,8,11,14],[3,5,6,7,9,12,13],[4,5,8,9,10,11,12]]; G[3373]:=Group([(8,9)(11,12)(13,14)]); # Design 3374: autom. group order 2, simple, residual B[3374]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,13],[1,4,6,7,9,10,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,10,12,13],[2,3,7,9,10,11,14],[2,4,5,6,7,11,12],[2,4,7,8,12,13,14],[2,4,7,9,11,13,14],[2,5,6,8,10,12,14],[2,5,6,9,10,11,13],[3,4,5,8,9,13,14],[3,4,6,8,10,11,13],[3,4,6,9,10,12,14],[3,5,6,7,8,11,14],[3,5,6,7,9,12,13],[4,5,8,9,10,11,12]]; G[3374]:=Group([(8,9)(11,12)(13,14)]); # Design 3375: autom. group order 2, simple, residual B[3375]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,13],[1,4,6,7,9,10,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,10,12,13],[2,3,7,9,10,11,14],[2,4,5,6,7,11,12],[2,4,7,8,12,13,14],[2,4,7,9,11,13,14],[2,5,6,8,10,12,14],[2,5,6,9,10,11,13],[3,4,5,8,9,13,14],[3,4,6,8,10,11,14],[3,4,6,9,10,12,13],[3,5,6,7,8,11,13],[3,5,6,7,9,12,14],[4,5,8,9,10,11,12]]; G[3375]:=Group([(8,9)(11,12)(13,14)]); # Design 3376: autom. group order 2, simple, residual B[3376]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,13],[1,4,6,7,9,10,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,10,12,14],[2,3,7,9,10,11,13],[2,4,5,6,7,11,12],[2,4,7,8,12,13,14],[2,4,7,9,11,13,14],[2,5,6,8,10,12,13],[2,5,6,9,10,11,14],[3,4,5,8,9,13,14],[3,4,6,8,10,11,13],[3,4,6,9,10,12,14],[3,5,6,7,8,11,14],[3,5,6,7,9,12,13],[4,5,8,9,10,11,12]]; G[3376]:=Group([(8,9)(11,12)(13,14)]); # Design 3377: autom. group order 2, simple, residual B[3377]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,9,12,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,10,13],[1,4,6,7,9,10,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,10,12,14],[2,3,7,9,10,11,13],[2,4,5,6,7,11,12],[2,4,7,8,12,13,14],[2,4,7,9,11,13,14],[2,5,6,8,10,12,13],[2,5,6,9,10,11,14],[3,4,5,8,9,13,14],[3,4,6,8,10,11,14],[3,4,6,9,10,12,13],[3,5,6,7,8,11,13],[3,5,6,7,9,12,14],[4,5,8,9,10,11,12]]; G[3377]:=Group([(8,9)(11,12)(13,14)]); # Design 3378: autom. group order 2, simple, residual B[3378]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,10,11],[1,2,6,8,12,13,14],[1,3,6,9,11,13,14],[1,3,7,8,11,12,13],[1,4,5,9,11,12,14],[1,4,6,7,8,9,12],[1,4,6,7,10,13,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,9,10,13],[2,3,7,9,11,12,14],[2,4,5,6,7,11,13],[2,4,7,8,10,12,14],[2,4,7,9,11,13,14],[2,5,6,8,11,12,13],[2,5,6,9,10,12,14],[3,4,5,8,12,13,14],[3,4,6,8,10,11,14],[3,4,6,9,10,12,13],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12],[4,5,8,9,10,11,13]]; G[3378]:=Group([(1,3)(4,5)(6,7)(8,9)(11,13)(12,14)]); # Design 3379: autom. group order 2, simple, residual B[3379]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,10,11,13],[1,2,6,8,12,13,14],[1,3,6,7,8,11,12],[1,3,7,8,9,13,14],[1,4,5,9,11,12,14],[1,4,6,7,9,12,14],[1,4,6,8,9,10,13],[1,5,7,8,10,11,14],[1,5,9,10,11,12,13],[2,3,7,9,11,12,13],[2,3,8,9,10,12,14],[2,4,5,7,8,12,13],[2,4,6,8,9,10,11],[2,4,7,9,11,13,14],[2,5,6,7,9,10,14],[2,5,6,8,11,12,14],[3,4,5,6,11,13,14],[3,4,6,10,12,13,14],[3,4,7,8,10,11,14],[3,5,6,7,9,10,12],[3,5,6,8,9,11,13],[4,5,7,8,10,12,13]]; G[3379]:=Group([(1,3)(4,5)(6,9)(7,8)(11,14)(12,13)]); # Design 3380: autom. group order 2, simple, residual B[3380]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,10,11,13],[1,2,6,9,11,12,14],[1,3,6,7,8,9,12],[1,3,8,9,12,13,14],[1,4,5,7,11,12,13],[1,4,6,7,8,10,14],[1,4,6,9,11,13,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,11,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,13,14],[2,4,6,8,10,12,13],[2,4,7,9,10,12,14],[2,5,6,7,8,9,11],[2,5,6,7,12,13,14],[3,4,5,6,11,12,14],[3,4,6,7,9,10,13],[3,4,7,8,11,13,14],[3,5,6,8,10,12,14],[3,5,6,9,10,11,13],[4,5,8,9,10,11,12]]; G[3380]:=Group([(1,3)(6,7)(8,9)(13,14)]); # Design 3381: autom. group order 2, simple, residual B[3381]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,11,13,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,7,9,11,14],[1,4,6,7,8,12,14],[1,4,6,9,10,12,14],[1,5,7,8,10,12,13],[1,5,7,9,11,12,13],[2,3,7,8,9,12,14],[2,3,7,9,12,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,12,13],[2,4,7,8,10,11,14],[2,5,6,7,8,9,10],[2,5,6,7,10,11,12],[3,4,5,6,8,12,13],[3,4,6,7,9,11,13],[3,4,7,8,10,11,13],[3,5,6,8,11,12,14],[3,5,6,9,10,11,14],[4,5,8,9,10,13,14]]; G[3381]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3382: autom. group order 2, simple, residual B[3382]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,12,13,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,7,9,12,13],[1,4,6,7,8,12,14],[1,4,6,9,10,11,14],[1,5,7,8,10,11,13],[1,5,7,9,11,12,14],[2,3,7,8,9,12,14],[2,3,7,9,11,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,12,13],[2,4,7,8,10,11,14],[2,5,6,7,8,9,10],[2,5,6,7,10,11,12],[3,4,5,6,8,11,14],[3,4,6,7,9,11,13],[3,4,7,8,10,12,13],[3,5,6,8,11,12,13],[3,5,6,9,10,12,14],[4,5,8,9,10,13,14]]; G[3382]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3383: autom. group order 2, simple, residual B[3383]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,12,13,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,7,9,11,14],[1,4,6,7,8,11,14],[1,4,6,9,10,12,14],[1,5,7,8,11,12,13],[1,5,7,9,10,12,13],[2,3,7,8,9,12,14],[2,3,7,9,11,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,12,14],[2,5,6,7,8,9,10],[2,5,6,7,10,11,12],[3,4,5,6,8,12,13],[3,4,6,7,9,12,13],[3,4,7,8,10,11,13],[3,5,6,8,10,11,14],[3,5,6,9,11,12,14],[4,5,8,9,10,13,14]]; G[3383]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3384: autom. group order 2, simple, residual B[3384]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,9,11,13],[1,2,6,8,12,13,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,7,9,12,13],[1,4,6,7,8,11,14],[1,4,6,9,10,12,14],[1,5,7,8,11,12,13],[1,5,7,9,10,11,14],[2,3,7,8,9,12,14],[2,3,7,9,11,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,12,14],[2,5,6,7,8,9,10],[2,5,6,7,10,11,12],[3,4,5,6,8,11,14],[3,4,6,7,9,12,13],[3,4,7,8,10,11,13],[3,5,6,8,10,12,13],[3,5,6,9,11,12,14],[4,5,8,9,10,13,14]]; G[3384]:=Group([(1,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3385: autom. group order 2, simple, residual B[3385]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,11,12,13],[1,2,6,9,10,11,14],[1,3,6,8,9,12,13],[1,3,7,8,9,12,14],[1,4,5,7,11,12,13],[1,4,6,7,8,10,14],[1,4,6,9,11,13,14],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[2,3,7,8,11,12,14],[2,3,7,9,10,11,13],[2,4,5,8,9,13,14],[2,4,6,7,9,10,12],[2,4,8,10,12,13,14],[2,5,6,7,8,9,11],[2,5,6,7,12,13,14],[3,4,5,6,11,12,14],[3,4,6,7,8,10,13],[3,4,7,9,11,13,14],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13],[4,5,8,9,10,11,12]]; G[3385]:=Group([(1,3)(6,7)(13,14)]); # Design 3386: autom. group order 2, simple, residual B[3386]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,11,12,13],[1,2,6,9,10,11,14],[1,3,6,8,9,12,13],[1,3,7,8,9,12,14],[1,4,5,7,11,12,13],[1,4,6,7,8,10,14],[1,4,6,9,11,13,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,11,12,14],[2,3,7,9,10,11,13],[2,4,5,8,9,13,14],[2,4,6,7,9,10,12],[2,4,8,10,12,13,14],[2,5,6,7,8,9,11],[2,5,6,7,12,13,14],[3,4,5,6,11,12,14],[3,4,6,7,8,10,13],[3,4,7,9,11,13,14],[3,5,6,8,10,11,13],[3,5,6,9,10,12,14],[4,5,8,9,10,11,12]]; G[3386]:=Group([(1,3)(6,7)(13,14)]); # Design 3387: autom. group order 2, simple, residual B[3387]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,11,12,13],[1,2,6,9,10,11,14],[1,3,6,8,9,12,13],[1,3,7,8,9,12,14],[1,4,5,7,11,12,14],[1,4,6,7,8,10,14],[1,4,6,9,11,13,14],[1,5,7,8,10,11,13],[1,5,7,9,10,12,13],[2,3,7,8,11,12,14],[2,3,7,9,10,11,13],[2,4,5,8,9,13,14],[2,4,6,7,9,10,12],[2,4,8,10,12,13,14],[2,5,6,7,8,9,11],[2,5,6,7,12,13,14],[3,4,5,6,11,12,13],[3,4,6,7,8,10,13],[3,4,7,9,11,13,14],[3,5,6,8,10,11,14],[3,5,6,9,10,12,14],[4,5,8,9,10,11,12]]; G[3387]:=Group([(1,3)(6,7)(13,14)]); # Design 3388: autom. group order 2, simple, residual B[3388]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,11,12,13],[1,2,6,9,10,11,14],[1,3,6,8,9,12,14],[1,3,7,8,9,12,13],[1,4,5,7,11,12,13],[1,4,6,7,8,10,13],[1,4,6,9,11,13,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,14],[2,3,7,8,11,12,14],[2,3,7,9,10,11,13],[2,4,5,8,9,13,14],[2,4,6,7,9,10,12],[2,4,8,10,12,13,14],[2,5,6,7,8,9,11],[2,5,6,7,12,13,14],[3,4,5,6,11,12,14],[3,4,6,7,8,10,14],[3,4,7,9,11,13,14],[3,5,6,8,10,11,13],[3,5,6,9,10,12,13],[4,5,8,9,10,11,12]]; G[3388]:=Group([(1,3)(6,7)(13,14)]); # Design 3389: autom. group order 2, simple, residual B[3389]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,11,12,13],[1,2,6,9,10,11,14],[1,3,6,8,9,12,14],[1,3,7,8,9,12,13],[1,4,5,7,11,12,14],[1,4,6,7,8,10,13],[1,4,6,9,11,13,14],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[2,3,7,8,11,12,14],[2,3,7,9,10,11,13],[2,4,5,8,9,13,14],[2,4,6,7,9,10,12],[2,4,8,10,12,13,14],[2,5,6,7,8,9,11],[2,5,6,7,12,13,14],[3,4,5,6,11,12,13],[3,4,6,7,8,10,14],[3,4,7,9,11,13,14],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13],[4,5,8,9,10,11,12]]; G[3389]:=Group([(1,3)(6,7)(13,14)]); # Design 3390: autom. group order 2, simple, residual B[3390]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,8,11,12,13],[1,2,6,9,10,11,14],[1,3,6,8,9,12,14],[1,3,7,8,9,12,13],[1,4,5,7,11,12,14],[1,4,6,7,8,10,13],[1,4,6,9,11,13,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,11,12,14],[2,3,7,9,10,11,13],[2,4,5,8,9,13,14],[2,4,6,7,9,10,12],[2,4,8,10,12,13,14],[2,5,6,7,8,9,11],[2,5,6,7,12,13,14],[3,4,5,6,11,12,13],[3,4,6,7,8,10,14],[3,4,7,9,11,13,14],[3,5,6,8,10,11,13],[3,5,6,9,10,12,14],[4,5,8,9,10,11,12]]; G[3390]:=Group([(1,3)(6,7)(13,14)]); # Design 3391: autom. group order 2, simple, residual B[3391]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,8,9,13,14],[1,4,6,8,10,11,13],[1,4,7,9,10,12,14],[1,5,6,9,11,12,13],[1,5,7,8,11,12,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,6,7,11,12],[3,4,6,8,12,13,14],[3,4,7,9,11,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,11,14],[4,5,6,7,8,9,10]]; G[3391]:=Group([(6,7)(8,9)(11,12)(13,14)]); # Design 3392: autom. group order 2, simple, residual B[3392]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,8,9,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,12,13],[1,5,6,9,11,12,13],[1,5,7,8,11,12,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,11,13],[2,5,6,8,10,12,13],[2,5,7,9,10,11,14],[3,4,5,6,7,11,12],[3,4,6,8,12,13,14],[3,4,7,9,11,13,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,14],[4,5,6,7,8,9,10]]; G[3392]:=Group([(6,7)(8,9)(11,12)(13,14)]); # Design 3393: autom. group order 2, simple, residual B[3393]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,8,9,13,14],[1,4,6,8,10,12,13],[1,4,7,9,10,11,14],[1,5,6,9,11,12,14],[1,5,7,8,11,12,13],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,12,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,6,7,11,12],[3,4,6,8,11,13,14],[3,4,7,9,12,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,11,14],[4,5,6,7,8,9,10]]; G[3393]:=Group([(6,7)(8,9)(11,12)(13,14)]); # Design 3394: autom. group order 2, simple, residual B[3394]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,12,13],[1,3,8,9,10,11,14],[1,4,5,8,9,12,13],[1,4,6,8,10,11,12],[1,4,7,9,11,13,14],[1,5,6,9,10,13,14],[1,5,7,8,11,12,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,13,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,12],[3,4,5,6,7,11,14],[3,4,6,8,12,13,14],[3,4,7,9,10,12,14],[3,5,6,9,11,12,13],[3,5,7,8,10,11,13],[4,5,6,7,8,9,10]]; G[3394]:=Group([(4,5)(8,9)(11,14)(12,13)]); # Design 3395: autom. group order 2, simple, residual B[3395]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,12,13],[1,3,8,9,10,11,14],[1,4,5,8,9,12,13],[1,4,6,8,10,11,12],[1,4,7,9,11,13,14],[1,5,6,9,10,13,14],[1,5,7,8,11,12,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,13,14],[2,5,6,8,10,11,13],[2,5,7,9,10,11,12],[3,4,5,6,7,11,14],[3,4,6,8,12,13,14],[3,4,7,9,10,11,13],[3,5,6,9,11,12,13],[3,5,7,8,10,12,14],[4,5,6,7,8,9,10]]; G[3395]:=Group([(4,5)(8,9)(11,14)(12,13)]); # Design 3396: autom. group order 2, simple, residual B[3396]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,12,13],[1,3,8,9,10,11,14],[1,4,5,8,9,12,13],[1,4,6,8,10,11,13],[1,4,7,9,11,13,14],[1,5,6,9,10,12,14],[1,5,7,8,11,12,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,9,10,13,14],[2,4,7,8,10,12,14],[2,5,6,8,10,11,12],[2,5,7,9,10,11,13],[3,4,5,6,7,11,14],[3,4,6,8,12,13,14],[3,4,7,9,10,11,12],[3,5,6,9,11,12,13],[3,5,7,8,10,13,14],[4,5,6,7,8,9,10]]; G[3396]:=Group([(4,5)(8,9)(11,14)(12,13)]); # Design 3397: autom. group order 2, simple, residual B[3397]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,12,13],[1,3,8,9,10,11,14],[1,4,5,8,9,12,13],[1,4,6,8,10,12,14],[1,4,7,9,11,12,14],[1,5,6,9,10,11,13],[1,5,7,8,11,13,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,13,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,12],[3,4,5,6,7,11,14],[3,4,6,8,11,12,13],[3,4,7,9,10,13,14],[3,5,6,9,12,13,14],[3,5,7,8,10,11,12],[4,5,6,7,8,9,10]]; G[3397]:=Group([(4,5)(8,9)(11,14)(12,13)]); # Design 3398: autom. group order 2, simple, residual B[3398]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,12,13],[1,3,8,9,10,11,14],[1,4,5,8,9,12,13],[1,4,6,8,10,13,14],[1,4,7,9,11,12,14],[1,5,6,9,10,11,12],[1,5,7,8,11,13,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,12,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,6,7,11,14],[3,4,6,8,11,12,13],[3,4,7,9,10,13,14],[3,5,6,9,12,13,14],[3,5,7,8,10,11,12],[4,5,6,7,8,9,10]]; G[3398]:=Group([(4,5)(8,9)(11,14)(12,13)]); # Design 3399: autom. group order 2, simple, residual B[3399]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,12,13],[1,3,8,9,10,11,14],[1,4,5,8,9,12,13],[1,4,6,8,10,12,14],[1,4,7,9,11,13,14],[1,5,6,9,10,11,13],[1,5,7,8,11,12,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,9,10,13,14],[2,4,7,8,10,11,13],[2,5,6,8,10,11,12],[2,5,7,9,10,12,14],[3,4,5,6,7,11,14],[3,4,6,8,12,13,14],[3,4,7,9,10,11,12],[3,5,6,9,11,12,13],[3,5,7,8,10,13,14],[4,5,6,7,8,9,10]]; G[3399]:=Group([(4,5)(8,9)(11,14)(12,13)]); # Design 3400: autom. group order 2, simple, residual B[3400]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,12,13],[1,3,8,9,10,11,14],[1,4,5,8,9,12,13],[1,4,6,8,10,13,14],[1,4,7,9,11,12,14],[1,5,6,9,10,11,12],[1,5,7,8,11,13,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,9,10,13,14],[2,4,7,8,10,12,14],[2,5,6,8,10,11,12],[2,5,7,9,10,11,13],[3,4,5,6,7,11,14],[3,4,6,8,11,12,13],[3,4,7,9,10,11,13],[3,5,6,9,12,13,14],[3,5,7,8,10,12,14],[4,5,6,7,8,9,10]]; G[3400]:=Group([(4,5)(8,9)(11,14)(12,13)]); # Design 3401: autom. group order 2, simple, residual B[3401]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,8,9,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,12,13],[1,5,6,9,11,12,13],[1,5,7,8,11,12,14],[2,3,6,8,9,11,13],[2,3,7,8,9,12,14],[2,4,5,11,12,13,14],[2,4,6,8,10,12,13],[2,4,7,9,10,11,14],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,6,7,11,12],[3,4,6,9,12,13,14],[3,4,7,8,11,13,14],[3,5,6,8,10,12,14],[3,5,7,9,10,11,13],[4,5,6,7,8,9,10]]; G[3401]:=Group([(6,7)(8,9)(11,12)(13,14)]); # Design 3402: autom. group order 2, simple, residual B[3402]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,8,9,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,12,13],[1,5,6,9,11,12,13],[1,5,7,8,11,12,14],[2,3,6,8,9,11,13],[2,3,7,8,9,12,14],[2,4,5,11,12,13,14],[2,4,6,8,10,12,14],[2,4,7,9,10,11,13],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,6,7,11,12],[3,4,6,9,12,13,14],[3,4,7,8,11,13,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,14],[4,5,6,7,8,9,10]]; G[3402]:=Group([(6,7)(8,9)(11,12)(13,14)]); # Design 3403: autom. group order 2, simple, residual B[3403]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,8,9,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,12,13],[1,5,6,9,11,12,14],[1,5,7,8,11,12,13],[2,3,6,8,9,11,13],[2,3,7,8,9,12,14],[2,4,5,11,12,13,14],[2,4,6,8,10,12,13],[2,4,7,9,10,11,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,7,11,12],[3,4,6,9,11,13,14],[3,4,7,8,12,13,14],[3,5,6,8,10,12,14],[3,5,7,9,10,11,13],[4,5,6,7,8,9,10]]; G[3403]:=Group([(6,7)(8,9)(11,12)(13,14)]); # Design 3404: autom. group order 2, simple, residual B[3404]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,8,9,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,12,13],[1,5,6,9,11,12,14],[1,5,7,8,11,12,13],[2,3,6,8,9,11,13],[2,3,7,8,9,12,14],[2,4,5,11,12,13,14],[2,4,6,8,10,12,14],[2,4,7,9,10,11,13],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,7,11,12],[3,4,6,9,11,13,14],[3,4,7,8,12,13,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,14],[4,5,6,7,8,9,10]]; G[3404]:=Group([(6,7)(8,9)(11,12)(13,14)]); # Design 3405: autom. group order 2, simple, residual B[3405]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,8,9,13,14],[1,4,6,8,10,12,13],[1,4,7,9,10,11,14],[1,5,6,9,11,12,13],[1,5,7,8,11,12,14],[2,3,6,8,9,11,13],[2,3,7,8,9,12,14],[2,4,5,11,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,10,12,13],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,6,7,11,12],[3,4,6,9,12,13,14],[3,4,7,8,11,13,14],[3,5,6,8,10,12,14],[3,5,7,9,10,11,13],[4,5,6,7,8,9,10]]; G[3405]:=Group([(6,7)(8,9)(11,12)(13,14)]); # Design 3406: autom. group order 2, simple, residual B[3406]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,8,9,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,11,13],[1,5,6,9,11,12,13],[1,5,7,8,11,12,14],[2,3,6,8,9,11,13],[2,3,7,8,9,12,14],[2,4,5,11,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,10,12,13],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,6,7,11,12],[3,4,6,9,12,13,14],[3,4,7,8,11,13,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,14],[4,5,6,7,8,9,10]]; G[3406]:=Group([(6,7)(8,9)(11,12)(13,14)]); # Design 3407: autom. group order 2, simple, residual B[3407]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,8,9,13,14],[1,4,6,8,10,12,13],[1,4,7,9,10,11,14],[1,5,6,9,11,12,14],[1,5,7,8,11,12,13],[2,3,6,8,9,11,13],[2,3,7,8,9,12,14],[2,4,5,11,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,10,12,13],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,7,11,12],[3,4,6,9,11,13,14],[3,4,7,8,12,13,14],[3,5,6,8,10,12,14],[3,5,7,9,10,11,13],[4,5,6,7,8,9,10]]; G[3407]:=Group([(6,7)(8,9)(11,12)(13,14)]); # Design 3408: autom. group order 2, simple, residual B[3408]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,8,9,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,11,13],[1,5,6,9,11,12,14],[1,5,7,8,11,12,13],[2,3,6,8,9,11,13],[2,3,7,8,9,12,14],[2,4,5,11,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,10,12,13],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,7,11,12],[3,4,6,9,11,13,14],[3,4,7,8,12,13,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,14],[4,5,6,7,8,9,10]]; G[3408]:=Group([(6,7)(8,9)(11,12)(13,14)]); # Design 3409: autom. group order 2, simple, residual B[3409]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,8,9,13,14],[1,4,6,8,10,12,13],[1,4,7,9,10,11,14],[1,5,6,9,11,12,13],[1,5,7,8,11,12,14],[2,3,6,8,9,11,13],[2,3,7,8,9,12,14],[2,4,5,11,12,13,14],[2,4,6,8,10,12,14],[2,4,7,9,10,11,13],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,6,7,11,12],[3,4,6,9,12,13,14],[3,4,7,8,11,13,14],[3,5,6,8,10,11,14],[3,5,7,9,10,12,13],[4,5,6,7,8,9,10]]; G[3409]:=Group([(6,7)(8,9)(11,12)(13,14)]); # Design 3410: autom. group order 2, simple, residual B[3410]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,8,9,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,11,13],[1,5,6,9,11,12,13],[1,5,7,8,11,12,14],[2,3,6,8,9,11,13],[2,3,7,8,9,12,14],[2,4,5,11,12,13,14],[2,4,6,8,10,12,13],[2,4,7,9,10,11,14],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,6,7,11,12],[3,4,6,9,12,13,14],[3,4,7,8,11,13,14],[3,5,6,8,10,11,14],[3,5,7,9,10,12,13],[4,5,6,7,8,9,10]]; G[3410]:=Group([(6,7)(8,9)(11,12)(13,14)]); # Design 3411: autom. group order 2, simple, residual B[3411]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,8,9,13,14],[1,4,6,8,10,12,13],[1,4,7,9,10,11,14],[1,5,6,9,11,12,14],[1,5,7,8,11,12,13],[2,3,6,8,9,11,13],[2,3,7,8,9,12,14],[2,4,5,11,12,13,14],[2,4,6,8,10,12,14],[2,4,7,9,10,11,13],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,7,11,12],[3,4,6,9,11,13,14],[3,4,7,8,12,13,14],[3,5,6,8,10,11,14],[3,5,7,9,10,12,13],[4,5,6,7,8,9,10]]; G[3411]:=Group([(6,7)(8,9)(11,12)(13,14)]); # Design 3412: autom. group order 2, simple, residual B[3412]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,8,9,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,11,13],[1,5,6,9,11,12,14],[1,5,7,8,11,12,13],[2,3,6,8,9,11,13],[2,3,7,8,9,12,14],[2,4,5,11,12,13,14],[2,4,6,8,10,12,13],[2,4,7,9,10,11,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,7,11,12],[3,4,6,9,11,13,14],[3,4,7,8,12,13,14],[3,5,6,8,10,11,14],[3,5,7,9,10,12,13],[4,5,6,7,8,9,10]]; G[3412]:=Group([(6,7)(8,9)(11,12)(13,14)]); # Design 3413: autom. group order 2, simple, residual B[3413]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,12],[1,2,6,7,9,13,14],[1,3,6,7,10,11,13],[1,3,8,9,10,12,14],[1,4,5,8,9,11,13],[1,4,6,8,10,11,14],[1,4,7,9,11,12,14],[1,5,6,9,10,12,13],[1,5,7,8,12,13,14],[2,3,6,8,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,8,10,13,14],[2,4,7,9,10,12,13],[2,5,6,9,10,11,12],[2,5,7,8,10,11,14],[3,4,5,6,7,12,14],[3,4,6,9,11,13,14],[3,4,7,8,10,12,13],[3,5,6,8,11,12,13],[3,5,7,9,10,11,14],[4,5,6,7,8,9,10]]; G[3413]:=Group([(4,5)(8,9)(11,13)(12,14)]); # Design 3414: autom. group order 2, simple, residual B[3414]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,12],[1,2,6,7,9,13,14],[1,3,6,7,10,11,13],[1,3,8,9,10,12,14],[1,4,5,8,9,11,13],[1,4,6,8,10,11,14],[1,4,7,9,12,13,14],[1,5,6,9,10,12,13],[1,5,7,8,11,12,14],[2,3,6,8,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,8,10,12,13],[2,4,7,9,10,11,14],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,6,7,12,14],[3,4,6,9,11,12,13],[3,4,7,8,10,13,14],[3,5,6,8,11,13,14],[3,5,7,9,10,11,12],[4,5,6,7,8,9,10]]; G[3414]:=Group([(4,5)(8,9)(11,13)(12,14)]); # Design 3415: autom. group order 2, simple, residual B[3415]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,12],[1,2,6,7,9,13,14],[1,3,6,7,10,11,13],[1,3,8,9,10,12,14],[1,4,5,8,9,11,13],[1,4,6,8,10,11,14],[1,4,7,9,12,13,14],[1,5,6,9,10,12,13],[1,5,7,8,11,12,14],[2,3,6,8,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,8,10,13,14],[2,4,7,9,10,11,14],[2,5,6,9,10,11,12],[2,5,7,8,10,12,13],[3,4,5,6,7,12,14],[3,4,6,9,11,12,13],[3,4,7,8,10,12,13],[3,5,6,8,11,13,14],[3,5,7,9,10,11,14],[4,5,6,7,8,9,10]]; G[3415]:=Group([(4,5)(8,9)(11,13)(12,14)]); # Design 3416: autom. group order 2, simple, residual B[3416]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,12],[1,2,6,7,9,13,14],[1,3,6,7,10,11,13],[1,3,8,9,10,12,14],[1,4,5,8,9,11,13],[1,4,6,8,10,12,13],[1,4,7,9,11,12,14],[1,5,6,9,10,11,14],[1,5,7,8,12,13,14],[2,3,6,8,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,10,12,13],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,7,12,14],[3,4,6,9,11,13,14],[3,4,7,8,10,13,14],[3,5,6,8,11,12,13],[3,5,7,9,10,11,12],[4,5,6,7,8,9,10]]; G[3416]:=Group([(4,5)(8,9)(11,13)(12,14)]); # Design 3417: autom. group order 2, simple, residual B[3417]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,12],[1,2,6,7,9,13,14],[1,3,6,7,10,11,13],[1,3,8,9,10,12,14],[1,4,5,8,9,11,13],[1,4,6,8,10,13,14],[1,4,7,9,11,12,14],[1,5,6,9,10,11,12],[1,5,7,8,12,13,14],[2,3,6,8,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,10,12,13],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,7,12,14],[3,4,6,9,11,13,14],[3,4,7,8,10,12,13],[3,5,6,8,11,12,13],[3,5,7,9,10,11,14],[4,5,6,7,8,9,10]]; G[3417]:=Group([(4,5)(8,9)(11,13)(12,14)]); # Design 3418: autom. group order 2, simple, residual B[3418]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,12],[1,2,6,7,9,13,14],[1,3,6,7,10,11,13],[1,3,8,9,10,12,14],[1,4,5,8,9,11,13],[1,4,6,8,10,12,13],[1,4,7,9,11,12,14],[1,5,6,9,10,11,14],[1,5,7,8,12,13,14],[2,3,6,8,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,8,10,13,14],[2,4,7,9,10,12,13],[2,5,6,9,10,11,12],[2,5,7,8,10,11,14],[3,4,5,6,7,12,14],[3,4,6,9,11,13,14],[3,4,7,8,10,11,14],[3,5,6,8,11,12,13],[3,5,7,9,10,12,13],[4,5,6,7,8,9,10]]; G[3418]:=Group([(4,5)(8,9)(11,13)(12,14)]); # Design 3419: autom. group order 2, simple, residual B[3419]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,12],[1,2,6,7,9,13,14],[1,3,6,7,10,11,13],[1,3,8,9,10,12,14],[1,4,5,8,9,11,13],[1,4,6,8,10,12,13],[1,4,7,9,12,13,14],[1,5,6,9,10,11,14],[1,5,7,8,11,12,14],[2,3,6,8,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,8,10,13,14],[2,4,7,9,10,11,14],[2,5,6,9,10,11,12],[2,5,7,8,10,12,13],[3,4,5,6,7,12,14],[3,4,6,9,11,12,13],[3,4,7,8,10,11,14],[3,5,6,8,11,13,14],[3,5,7,9,10,12,13],[4,5,6,7,8,9,10]]; G[3419]:=Group([(4,5)(8,9)(11,13)(12,14)]); # Design 3420: autom. group order 2, simple, residual B[3420]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,12],[1,2,6,7,9,13,14],[1,3,6,7,10,11,13],[1,3,8,9,10,12,14],[1,4,5,8,9,11,13],[1,4,6,8,10,13,14],[1,4,7,9,12,13,14],[1,5,6,9,10,11,12],[1,5,7,8,11,12,14],[2,3,6,8,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,8,10,12,13],[2,4,7,9,10,11,14],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,6,7,12,14],[3,4,6,9,11,12,13],[3,4,7,8,10,11,14],[3,5,6,8,11,13,14],[3,5,7,9,10,12,13],[4,5,6,7,8,9,10]]; G[3420]:=Group([(4,5)(8,9)(11,13)(12,14)]); # Design 3421: autom. group order 2, simple, residual B[3421]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,12,14],[1,3,8,9,10,11,13],[1,4,5,8,9,12,14],[1,4,6,8,10,11,14],[1,4,7,9,11,12,13],[1,5,6,9,11,13,14],[1,5,7,8,10,12,13],[2,3,6,8,9,11,12],[2,3,7,8,9,13,14],[2,4,5,11,12,13,14],[2,4,6,8,10,12,13],[2,4,7,9,10,11,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,7,11,13],[3,4,6,9,10,13,14],[3,4,7,8,12,13,14],[3,5,6,8,11,12,14],[3,5,7,9,10,11,12],[4,5,6,7,8,9,10]]; G[3421]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3422: autom. group order 2, simple, residual B[3422]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,12,14],[1,3,8,9,10,11,13],[1,4,5,8,9,12,14],[1,4,6,8,10,11,14],[1,4,7,9,11,12,13],[1,5,6,9,11,13,14],[1,5,7,8,10,12,13],[2,3,6,8,9,11,12],[2,3,7,8,9,13,14],[2,4,5,11,12,13,14],[2,4,6,8,10,13,14],[2,4,7,9,10,11,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,12],[3,4,5,6,7,11,13],[3,4,6,9,10,12,13],[3,4,7,8,12,13,14],[3,5,6,8,11,12,14],[3,5,7,9,10,11,14],[4,5,6,7,8,9,10]]; G[3422]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3423: autom. group order 2, simple, residual B[3423]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,12,14],[1,3,8,9,10,11,13],[1,4,5,8,9,12,14],[1,4,6,8,10,11,14],[1,4,7,9,11,13,14],[1,5,6,9,11,12,13],[1,5,7,8,10,12,13],[2,3,6,8,9,11,12],[2,3,7,8,9,13,14],[2,4,5,11,12,13,14],[2,4,6,8,10,13,14],[2,4,7,9,10,12,13],[2,5,6,9,10,11,14],[2,5,7,8,10,11,12],[3,4,5,6,7,11,13],[3,4,6,9,10,12,13],[3,4,7,8,11,12,14],[3,5,6,8,12,13,14],[3,5,7,9,10,11,14],[4,5,6,7,8,9,10]]; G[3423]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3424: autom. group order 2, simple, residual B[3424]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,12,14],[1,3,8,9,10,11,13],[1,4,5,8,9,12,14],[1,4,6,8,10,12,13],[1,4,7,9,11,13,14],[1,5,6,9,11,12,13],[1,5,7,8,10,11,14],[2,3,6,8,9,11,12],[2,3,7,8,9,13,14],[2,4,5,11,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,10,12,13],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,6,7,11,13],[3,4,6,9,10,13,14],[3,4,7,8,11,12,14],[3,5,6,8,12,13,14],[3,5,7,9,10,11,12],[4,5,6,7,8,9,10]]; G[3424]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3425: autom. group order 2, simple, residual B[3425]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,12,14],[1,3,8,9,10,11,13],[1,4,5,8,9,12,14],[1,4,6,8,10,13,14],[1,4,7,9,11,13,14],[1,5,6,9,11,12,13],[1,5,7,8,10,11,12],[2,3,6,8,9,11,12],[2,3,7,8,9,13,14],[2,4,5,11,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,10,12,13],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,6,7,11,13],[3,4,6,9,10,12,13],[3,4,7,8,11,12,14],[3,5,6,8,12,13,14],[3,5,7,9,10,11,14],[4,5,6,7,8,9,10]]; G[3425]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3426: autom. group order 2, simple, residual B[3426]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,12,14],[1,3,8,9,10,11,13],[1,4,5,8,9,12,14],[1,4,6,8,10,12,13],[1,4,7,9,11,12,13],[1,5,6,9,11,13,14],[1,5,7,8,10,11,14],[2,3,6,8,9,11,12],[2,3,7,8,9,13,14],[2,4,5,11,12,13,14],[2,4,6,8,10,13,14],[2,4,7,9,10,11,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,12],[3,4,5,6,7,11,13],[3,4,6,9,10,11,14],[3,4,7,8,12,13,14],[3,5,6,8,11,12,14],[3,5,7,9,10,12,13],[4,5,6,7,8,9,10]]; G[3426]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3427: autom. group order 2, simple, residual B[3427]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,12,14],[1,3,8,9,10,11,13],[1,4,5,8,9,12,14],[1,4,6,8,10,13,14],[1,4,7,9,11,12,13],[1,5,6,9,11,13,14],[1,5,7,8,10,11,12],[2,3,6,8,9,11,12],[2,3,7,8,9,13,14],[2,4,5,11,12,13,14],[2,4,6,8,10,12,13],[2,4,7,9,10,11,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,7,11,13],[3,4,6,9,10,11,14],[3,4,7,8,12,13,14],[3,5,6,8,11,12,14],[3,5,7,9,10,12,13],[4,5,6,7,8,9,10]]; G[3427]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3428: autom. group order 2, simple, residual B[3428]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,12,14],[1,3,8,9,10,11,13],[1,4,5,8,9,12,14],[1,4,6,8,10,12,13],[1,4,7,9,11,13,14],[1,5,6,9,11,12,13],[1,5,7,8,10,11,14],[2,3,6,8,9,11,12],[2,3,7,8,9,13,14],[2,4,5,11,12,13,14],[2,4,6,8,10,13,14],[2,4,7,9,10,12,13],[2,5,6,9,10,11,14],[2,5,7,8,10,11,12],[3,4,5,6,7,11,13],[3,4,6,9,10,11,14],[3,4,7,8,11,12,14],[3,5,6,8,12,13,14],[3,5,7,9,10,12,13],[4,5,6,7,8,9,10]]; G[3428]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3429: autom. group order 2, simple, residual B[3429]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,8,9,13,14],[1,4,6,8,10,11,13],[1,4,7,9,10,12,14],[1,5,6,9,11,12,13],[1,5,7,8,11,12,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,8,10,12,14],[2,4,7,9,10,11,13],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,6,7,11,12],[3,4,6,8,12,13,14],[3,4,7,9,11,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,11,14],[4,5,6,7,8,9,10]]; G[3429]:=Group([(6,7)(8,9)(11,12)(13,14)]); # Design 3430: autom. group order 2, simple, residual B[3430]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,8,9,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,12,13],[1,5,6,9,11,12,13],[1,5,7,8,11,12,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,8,10,12,13],[2,4,7,9,10,11,14],[2,5,6,9,10,12,14],[2,5,7,8,10,11,13],[3,4,5,6,7,11,12],[3,4,6,8,12,13,14],[3,4,7,9,11,13,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,14],[4,5,6,7,8,9,10]]; G[3430]:=Group([(6,7)(8,9)(11,12)(13,14)]); # Design 3431: autom. group order 2, simple, residual B[3431]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,8,9,13,14],[1,4,6,8,10,12,13],[1,4,7,9,10,11,14],[1,5,6,9,11,12,14],[1,5,7,8,11,12,13],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,8,10,12,14],[2,4,7,9,10,11,13],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,6,7,11,12],[3,4,6,8,11,13,14],[3,4,7,9,12,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,11,14],[4,5,6,7,8,9,10]]; G[3431]:=Group([(6,7)(8,9)(11,12)(13,14)]); # Design 3432: autom. group order 2, simple, residual B[3432]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,12,13],[1,3,8,9,10,11,14],[1,4,5,8,9,12,13],[1,4,6,8,10,11,12],[1,4,7,9,11,13,14],[1,5,6,9,10,13,14],[1,5,7,8,11,12,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,8,10,13,14],[2,4,7,9,10,11,13],[2,5,6,9,10,11,12],[2,5,7,8,10,12,14],[3,4,5,6,7,11,14],[3,4,6,8,12,13,14],[3,4,7,9,10,12,14],[3,5,6,9,11,12,13],[3,5,7,8,10,11,13],[4,5,6,7,8,9,10]]; G[3432]:=Group([(4,5)(8,9)(11,14)(12,13)]); # Design 3433: autom. group order 2, simple, residual B[3433]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,12,13],[1,3,8,9,10,11,14],[1,4,5,8,9,12,13],[1,4,6,8,10,11,12],[1,4,7,9,11,13,14],[1,5,6,9,10,13,14],[1,5,7,8,11,12,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,8,10,13,14],[2,4,7,9,10,12,14],[2,5,6,9,10,11,12],[2,5,7,8,10,11,13],[3,4,5,6,7,11,14],[3,4,6,8,12,13,14],[3,4,7,9,10,11,13],[3,5,6,9,11,12,13],[3,5,7,8,10,12,14],[4,5,6,7,8,9,10]]; G[3433]:=Group([(4,5)(8,9)(11,14)(12,13)]); # Design 3434: autom. group order 2, simple, residual B[3434]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,12,13],[1,3,8,9,10,11,14],[1,4,5,8,9,12,13],[1,4,6,8,10,11,13],[1,4,7,9,11,13,14],[1,5,6,9,10,12,14],[1,5,7,8,11,12,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,8,10,12,14],[2,4,7,9,10,13,14],[2,5,6,9,10,11,13],[2,5,7,8,10,11,12],[3,4,5,6,7,11,14],[3,4,6,8,12,13,14],[3,4,7,9,10,11,12],[3,5,6,9,11,12,13],[3,5,7,8,10,13,14],[4,5,6,7,8,9,10]]; G[3434]:=Group([(4,5)(8,9)(11,14)(12,13)]); # Design 3435: autom. group order 2, simple, residual B[3435]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,12,13],[1,3,8,9,10,11,14],[1,4,5,8,9,12,13],[1,4,6,8,10,12,14],[1,4,7,9,11,13,14],[1,5,6,9,10,11,13],[1,5,7,8,11,12,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,8,10,11,13],[2,4,7,9,10,13,14],[2,5,6,9,10,12,14],[2,5,7,8,10,11,12],[3,4,5,6,7,11,14],[3,4,6,8,12,13,14],[3,4,7,9,10,11,12],[3,5,6,9,11,12,13],[3,5,7,8,10,13,14],[4,5,6,7,8,9,10]]; G[3435]:=Group([(4,5)(8,9)(11,14)(12,13)]); # Design 3436: autom. group order 2, simple, residual B[3436]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,12,13],[1,3,8,9,10,11,14],[1,4,5,8,9,12,13],[1,4,6,8,10,12,14],[1,4,7,9,11,12,14],[1,5,6,9,10,11,13],[1,5,7,8,11,13,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,8,10,13,14],[2,4,7,9,10,11,13],[2,5,6,9,10,11,12],[2,5,7,8,10,12,14],[3,4,5,6,7,11,14],[3,4,6,8,11,12,13],[3,4,7,9,10,13,14],[3,5,6,9,12,13,14],[3,5,7,8,10,11,12],[4,5,6,7,8,9,10]]; G[3436]:=Group([(4,5)(8,9)(11,14)(12,13)]); # Design 3437: autom. group order 2, simple, residual B[3437]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,12,13],[1,3,8,9,10,11,14],[1,4,5,8,9,12,13],[1,4,6,8,10,13,14],[1,4,7,9,11,12,14],[1,5,6,9,10,11,12],[1,5,7,8,11,13,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,8,10,12,14],[2,4,7,9,10,11,13],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,6,7,11,14],[3,4,6,8,11,12,13],[3,4,7,9,10,13,14],[3,5,6,9,12,13,14],[3,5,7,8,10,11,12],[4,5,6,7,8,9,10]]; G[3437]:=Group([(4,5)(8,9)(11,14)(12,13)]); # Design 3438: autom. group order 2, simple, residual B[3438]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,12,13],[1,3,8,9,10,11,14],[1,4,5,8,9,12,13],[1,4,6,8,10,13,14],[1,4,7,9,11,12,14],[1,5,6,9,10,11,12],[1,5,7,8,11,13,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,8,10,12,14],[2,4,7,9,10,13,14],[2,5,6,9,10,11,13],[2,5,7,8,10,11,12],[3,4,5,6,7,11,14],[3,4,6,8,11,12,13],[3,4,7,9,10,11,13],[3,5,6,9,12,13,14],[3,5,7,8,10,12,14],[4,5,6,7,8,9,10]]; G[3438]:=Group([(4,5)(8,9)(11,14)(12,13)]); # Design 3439: autom. group order 2, simple, residual B[3439]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,8,9,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,12,13],[1,5,6,8,11,12,13],[1,5,7,9,11,12,14],[2,3,6,8,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,12,14],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,6,7,11,12],[3,4,6,8,12,13,14],[3,4,7,9,11,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,11,14],[4,5,6,7,8,9,10]]; G[3439]:=Group([(6,7)(8,9)(11,12)(13,14)]); # Design 3440: autom. group order 2, simple, residual B[3440]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,8,9,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,12,13],[1,5,6,8,11,12,13],[1,5,7,9,11,12,14],[2,3,6,8,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,6,7,11,12],[3,4,6,8,12,13,14],[3,4,7,9,11,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,11,14],[4,5,6,7,8,9,10]]; G[3440]:=Group([(6,7)(8,9)(11,12)(13,14)]); # Design 3441: autom. group order 2, simple, residual B[3441]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,8,9,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,12,13],[1,5,6,8,11,12,13],[1,5,7,9,11,12,14],[2,3,6,8,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,7,11,12],[3,4,6,8,12,13,14],[3,4,7,9,11,13,14],[3,5,6,9,10,11,14],[3,5,7,8,10,12,13],[4,5,6,7,8,9,10]]; G[3441]:=Group([(6,7)(8,9)(11,12)(13,14)]); # Design 3442: autom. group order 2, simple, residual B[3442]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,8,9,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,12,13],[1,5,6,8,11,12,13],[1,5,7,9,11,12,14],[2,3,6,8,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,7,11,12],[3,4,6,8,12,13,14],[3,4,7,9,11,13,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,14],[4,5,6,7,8,9,10]]; G[3442]:=Group([(6,7)(8,9)(11,12)(13,14)]); # Design 3443: autom. group order 2, simple, residual B[3443]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,8,9,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,12,13],[1,5,6,8,11,12,13],[1,5,7,9,11,12,14],[2,3,6,8,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,9,10,12,13],[2,4,7,8,10,11,14],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,6,7,11,12],[3,4,6,8,12,13,14],[3,4,7,9,11,13,14],[3,5,6,9,10,11,14],[3,5,7,8,10,12,13],[4,5,6,7,8,9,10]]; G[3443]:=Group([(6,7)(8,9)(11,12)(13,14)]); # Design 3444: autom. group order 2, simple, residual B[3444]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,8,9,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,12,13],[1,5,6,8,11,12,13],[1,5,7,9,11,12,14],[2,3,6,8,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,9,10,12,13],[2,4,7,8,10,11,14],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,6,7,11,12],[3,4,6,8,12,13,14],[3,4,7,9,11,13,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,14],[4,5,6,7,8,9,10]]; G[3444]:=Group([(6,7)(8,9)(11,12)(13,14)]); # Design 3445: autom. group order 2, simple, residual B[3445]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,8,9,13,14],[1,4,6,8,10,12,13],[1,4,7,9,10,11,14],[1,5,6,8,11,12,14],[1,5,7,9,11,12,13],[2,3,6,8,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,12,14],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,6,7,11,12],[3,4,6,8,11,13,14],[3,4,7,9,12,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,11,14],[4,5,6,7,8,9,10]]; G[3445]:=Group([(6,7)(8,9)(11,12)(13,14)]); # Design 3446: autom. group order 2, simple, residual B[3446]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,8,9,13,14],[1,4,6,8,10,12,13],[1,4,7,9,10,11,14],[1,5,6,8,11,12,14],[1,5,7,9,11,12,13],[2,3,6,8,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,6,7,11,12],[3,4,6,8,11,13,14],[3,4,7,9,12,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,11,14],[4,5,6,7,8,9,10]]; G[3446]:=Group([(6,7)(8,9)(11,12)(13,14)]); # Design 3447: autom. group order 2, simple, residual B[3447]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,8,9,13,14],[1,4,6,8,10,12,13],[1,4,7,9,10,11,14],[1,5,6,8,11,12,14],[1,5,7,9,11,12,13],[2,3,6,8,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,7,11,12],[3,4,6,8,11,13,14],[3,4,7,9,12,13,14],[3,5,6,9,10,11,14],[3,5,7,8,10,12,13],[4,5,6,7,8,9,10]]; G[3447]:=Group([(6,7)(8,9)(11,12)(13,14)]); # Design 3448: autom. group order 2, simple, residual B[3448]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,8,9,13,14],[1,4,6,8,10,12,13],[1,4,7,9,10,11,14],[1,5,6,8,11,12,14],[1,5,7,9,11,12,13],[2,3,6,8,9,12,14],[2,3,7,8,9,11,13],[2,4,5,11,12,13,14],[2,4,6,9,10,12,13],[2,4,7,8,10,11,14],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,6,7,11,12],[3,4,6,8,11,13,14],[3,4,7,9,12,13,14],[3,5,6,9,10,11,14],[3,5,7,8,10,12,13],[4,5,6,7,8,9,10]]; G[3448]:=Group([(6,7)(8,9)(11,12)(13,14)]); # Design 3449: autom. group order 2, simple, residual B[3449]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,8,9,11,12],[1,4,6,8,11,13,14],[1,4,7,9,12,13,14],[1,5,6,8,10,12,13],[1,5,7,9,10,11,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,7,13,14],[3,4,6,8,10,12,14],[3,4,7,9,10,11,13],[3,5,6,9,11,12,14],[3,5,7,8,11,12,13],[4,5,6,7,8,9,10]]; G[3449]:=Group([(6,7)(8,9)(11,12)(13,14)]); # Design 3450: autom. group order 2, simple, residual B[3450]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,8,9,11,12],[1,4,6,8,11,13,14],[1,4,7,9,12,13,14],[1,5,6,8,10,12,14],[1,5,7,9,10,11,13],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,7,13,14],[3,4,6,8,10,12,13],[3,4,7,9,10,11,14],[3,5,6,9,11,12,14],[3,5,7,8,11,12,13],[4,5,6,7,8,9,10]]; G[3450]:=Group([(6,7)(8,9)(11,12)(13,14)]); # Design 3451: autom. group order 2, simple, residual B[3451]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,8,9,11,12],[1,4,6,8,11,13,14],[1,4,7,9,12,13,14],[1,5,6,8,10,12,13],[1,5,7,9,10,11,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,9,10,12,13],[2,4,7,8,10,11,14],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,6,7,13,14],[3,4,6,8,10,12,14],[3,4,7,9,10,11,13],[3,5,6,9,11,12,14],[3,5,7,8,11,12,13],[4,5,6,7,8,9,10]]; G[3451]:=Group([(6,7)(8,9)(11,12)(13,14)]); # Design 3452: autom. group order 2, simple, residual B[3452]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,8,9,11,12],[1,4,6,8,11,13,14],[1,4,7,9,12,13,14],[1,5,6,8,10,12,14],[1,5,7,9,10,11,13],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,9,10,12,13],[2,4,7,8,10,11,14],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,6,7,13,14],[3,4,6,8,10,12,13],[3,4,7,9,10,11,14],[3,5,6,9,11,12,14],[3,5,7,8,11,12,13],[4,5,6,7,8,9,10]]; G[3452]:=Group([(6,7)(8,9)(11,12)(13,14)]); # Design 3453: autom. group order 2, simple, residual B[3453]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,8,9,11,12],[1,4,6,8,12,13,14],[1,4,7,9,11,13,14],[1,5,6,8,10,11,13],[1,5,7,9,10,12,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,7,13,14],[3,4,6,8,10,12,14],[3,4,7,9,10,11,13],[3,5,6,9,11,12,13],[3,5,7,8,11,12,14],[4,5,6,7,8,9,10]]; G[3453]:=Group([(6,7)(8,9)(11,12)(13,14)]); # Design 3454: autom. group order 2, simple, residual B[3454]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,8,9,11,12],[1,4,6,8,12,13,14],[1,4,7,9,11,13,14],[1,5,6,8,10,11,14],[1,5,7,9,10,12,13],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,12,14],[2,5,6,9,10,12,14],[2,5,7,8,10,11,13],[3,4,5,6,7,13,14],[3,4,6,8,10,12,13],[3,4,7,9,10,11,14],[3,5,6,9,11,12,13],[3,5,7,8,11,12,14],[4,5,6,7,8,9,10]]; G[3454]:=Group([(6,7)(8,9)(11,12)(13,14)]); # Design 3455: autom. group order 2, simple, residual B[3455]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,8,9,11,12],[1,4,6,8,12,13,14],[1,4,7,9,11,13,14],[1,5,6,8,10,11,13],[1,5,7,9,10,12,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,9,10,12,13],[2,4,7,8,10,11,14],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,6,7,13,14],[3,4,6,8,10,12,14],[3,4,7,9,10,11,13],[3,5,6,9,11,12,13],[3,5,7,8,11,12,14],[4,5,6,7,8,9,10]]; G[3455]:=Group([(6,7)(8,9)(11,12)(13,14)]); # Design 3456: autom. group order 2, simple, residual B[3456]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,8,9,11,12],[1,4,6,8,12,13,14],[1,4,7,9,11,13,14],[1,5,6,8,10,11,14],[1,5,7,9,10,12,13],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,11,13],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,6,7,13,14],[3,4,6,8,10,12,13],[3,4,7,9,10,11,14],[3,5,6,9,11,12,13],[3,5,7,8,11,12,14],[4,5,6,7,8,9,10]]; G[3456]:=Group([(6,7)(8,9)(11,12)(13,14)]); # Design 3457: autom. group order 2, simple, residual B[3457]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,8,9,11,12],[1,4,6,8,12,13,14],[1,4,7,9,11,13,14],[1,5,6,8,10,12,13],[1,5,7,9,10,11,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,12,14],[2,5,6,9,10,12,14],[2,5,7,8,10,11,13],[3,4,5,6,7,13,14],[3,4,6,8,10,11,14],[3,4,7,9,10,12,13],[3,5,6,9,11,12,13],[3,5,7,8,11,12,14],[4,5,6,7,8,9,10]]; G[3457]:=Group([(6,7)(8,9)(11,12)(13,14)]); # Design 3458: autom. group order 2, simple, residual B[3458]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,8,9,11,12],[1,4,6,8,12,13,14],[1,4,7,9,11,13,14],[1,5,6,8,10,12,14],[1,5,7,9,10,11,13],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,7,13,14],[3,4,6,8,10,11,13],[3,4,7,9,10,12,14],[3,5,6,9,11,12,13],[3,5,7,8,11,12,14],[4,5,6,7,8,9,10]]; G[3458]:=Group([(6,7)(8,9)(11,12)(13,14)]); # Design 3459: autom. group order 2, simple, residual B[3459]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,8,9,11,12],[1,4,6,8,12,13,14],[1,4,7,9,11,13,14],[1,5,6,8,10,12,13],[1,5,7,9,10,11,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,11,13],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,6,7,13,14],[3,4,6,8,10,11,14],[3,4,7,9,10,12,13],[3,5,6,9,11,12,13],[3,5,7,8,11,12,14],[4,5,6,7,8,9,10]]; G[3459]:=Group([(6,7)(8,9)(11,12)(13,14)]); # Design 3460: autom. group order 2, simple, residual B[3460]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,8,9,11,12],[1,4,6,8,12,13,14],[1,4,7,9,11,13,14],[1,5,6,8,10,12,14],[1,5,7,9,10,11,13],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,9,10,12,13],[2,4,7,8,10,11,14],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,6,7,13,14],[3,4,6,8,10,11,13],[3,4,7,9,10,12,14],[3,5,6,9,11,12,13],[3,5,7,8,11,12,14],[4,5,6,7,8,9,10]]; G[3460]:=Group([(6,7)(8,9)(11,12)(13,14)]); # Design 3461: autom. group order 2, simple, residual B[3461]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,8,9,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,12,13],[1,5,6,8,11,12,14],[1,5,7,9,11,12,13],[2,3,6,8,9,12,13],[2,3,7,8,9,11,14],[2,4,5,11,12,13,14],[2,4,6,8,10,12,13],[2,4,7,9,10,11,14],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,6,7,11,12],[3,4,6,9,11,13,14],[3,4,7,8,12,13,14],[3,5,6,9,10,12,14],[3,5,7,8,10,11,13],[4,5,6,7,8,9,10]]; G[3461]:=Group([(6,7)(8,9)(11,12)(13,14)]); # Design 3462: autom. group order 2, simple, residual B[3462]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,8,9,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,12,13],[1,5,6,8,11,12,13],[1,5,7,9,11,12,14],[2,3,6,8,9,12,13],[2,3,7,8,9,11,14],[2,4,5,11,12,13,14],[2,4,6,8,10,12,14],[2,4,7,9,10,11,13],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,6,7,11,12],[3,4,6,9,12,13,14],[3,4,7,8,11,13,14],[3,5,6,9,10,11,14],[3,5,7,8,10,12,13],[4,5,6,7,8,9,10]]; G[3462]:=Group([(6,7)(8,9)(11,12)(13,14)]); # Design 3463: autom. group order 2, simple, residual B[3463]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,13,14],[1,3,8,9,10,11,12],[1,4,5,8,9,13,14],[1,4,6,8,10,11,13],[1,4,7,9,10,12,14],[1,5,6,8,11,12,14],[1,5,7,9,11,12,13],[2,3,6,8,9,12,13],[2,3,7,8,9,11,14],[2,4,5,11,12,13,14],[2,4,6,8,10,12,14],[2,4,7,9,10,11,13],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,7,11,12],[3,4,6,9,11,13,14],[3,4,7,8,12,13,14],[3,5,6,9,10,11,14],[3,5,7,8,10,12,13],[4,5,6,7,8,9,10]]; G[3463]:=Group([(6,7)(8,9)(11,12)(13,14)]); # Design 3464: autom. group order 2, simple, residual B[3464]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,8,9,11,12],[1,4,6,8,11,13,14],[1,4,7,9,12,13,14],[1,5,6,8,10,12,13],[1,5,7,9,10,11,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,8,10,12,14],[2,4,7,9,10,11,13],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,6,7,13,14],[3,4,6,9,10,12,13],[3,4,7,8,10,11,14],[3,5,6,9,11,12,14],[3,5,7,8,11,12,13],[4,5,6,7,8,9,10]]; G[3464]:=Group([(6,7)(8,9)(11,12)(13,14)]); # Design 3465: autom. group order 2, simple, residual B[3465]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,8,9,11,12],[1,4,6,8,12,13,14],[1,4,7,9,11,13,14],[1,5,6,8,10,11,13],[1,5,7,9,10,12,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,8,10,12,14],[2,4,7,9,10,11,13],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,6,7,13,14],[3,4,6,9,10,12,13],[3,4,7,8,10,11,14],[3,5,6,9,11,12,13],[3,5,7,8,11,12,14],[4,5,6,7,8,9,10]]; G[3465]:=Group([(6,7)(8,9)(11,12)(13,14)]); # Design 3466: autom. group order 2, simple, residual B[3466]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,11,12],[1,3,8,9,10,13,14],[1,4,5,8,9,11,12],[1,4,6,8,12,13,14],[1,4,7,9,11,13,14],[1,5,6,8,10,11,14],[1,5,7,9,10,12,13],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[2,4,6,8,10,12,13],[2,4,7,9,10,11,14],[2,5,6,9,10,12,14],[2,5,7,8,10,11,13],[3,4,5,6,7,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,12,14],[3,5,6,9,11,12,13],[3,5,7,8,11,12,14],[4,5,6,7,8,9,10]]; G[3466]:=Group([(6,7)(8,9)(11,12)(13,14)]); # Design 3467: autom. group order 2, simple, residual B[3467]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,7,9,10,11,14],[1,5,6,9,10,12,13],[1,5,7,8,9,10,12],[2,3,6,9,10,13,14],[2,3,7,9,10,11,12],[2,4,5,8,9,11,13],[2,4,6,9,11,12,14],[2,4,7,8,10,12,13],[2,5,6,8,10,11,14],[2,5,7,9,12,13,14],[3,4,5,6,7,12,14],[3,4,6,8,9,12,13],[3,4,7,8,10,13,14],[3,5,6,8,10,11,12],[3,5,7,8,9,11,14],[4,5,6,7,10,11,13]]; G[3467]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3468: autom. group order 2, simple, residual B[3468]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,7,9,10,11,14],[1,5,6,9,10,12,13],[1,5,7,8,9,10,12],[2,3,6,9,10,13,14],[2,3,7,9,10,11,12],[2,4,5,8,9,11,13],[2,4,6,9,11,12,14],[2,4,7,8,10,13,14],[2,5,6,8,10,11,12],[2,5,7,9,12,13,14],[3,4,5,6,7,12,14],[3,4,6,8,9,12,13],[3,4,7,8,10,12,13],[3,5,6,8,10,11,14],[3,5,7,8,9,11,14],[4,5,6,7,10,11,13]]; G[3468]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3469: autom. group order 2, simple, residual B[3469]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,11,14],[1,5,6,9,10,12,13],[1,5,7,8,9,10,14],[2,3,6,9,10,13,14],[2,3,7,9,10,11,12],[2,4,5,8,9,11,13],[2,4,6,9,12,13,14],[2,4,7,8,10,12,13],[2,5,6,8,10,11,14],[2,5,7,9,11,12,14],[3,4,5,6,7,12,14],[3,4,6,8,9,11,14],[3,4,7,8,10,13,14],[3,5,6,8,10,11,12],[3,5,7,8,9,12,13],[4,5,6,7,10,11,13]]; G[3469]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3470: autom. group order 2, simple, residual B[3470]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,11,14],[1,5,6,9,10,12,13],[1,5,7,8,9,10,14],[2,3,6,9,10,13,14],[2,3,7,9,10,11,12],[2,4,5,8,9,11,13],[2,4,6,9,12,13,14],[2,4,7,8,10,13,14],[2,5,6,8,10,11,12],[2,5,7,9,11,12,14],[3,4,5,6,7,12,14],[3,4,6,8,9,11,14],[3,4,7,8,10,12,13],[3,5,6,8,10,11,14],[3,5,7,8,9,12,13],[4,5,6,7,10,11,13]]; G[3470]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3471: autom. group order 2, simple, residual B[3471]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,5,7,8,9,10,12],[2,3,6,9,10,13,14],[2,3,7,9,10,11,12],[2,4,5,8,9,11,13],[2,4,6,9,11,12,14],[2,4,7,8,10,11,14],[2,5,6,8,10,12,13],[2,5,7,9,12,13,14],[3,4,5,6,7,12,14],[3,4,6,8,9,12,13],[3,4,7,8,10,13,14],[3,5,6,8,10,11,12],[3,5,7,8,9,11,14],[4,5,6,7,10,11,13]]; G[3471]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3472: autom. group order 2, simple, residual B[3472]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,7,9,10,13,14],[1,5,6,9,10,11,12],[1,5,7,8,9,10,12],[2,3,6,9,10,13,14],[2,3,7,9,10,11,12],[2,4,5,8,9,11,13],[2,4,6,9,11,12,14],[2,4,7,8,10,11,14],[2,5,6,8,10,12,13],[2,5,7,9,12,13,14],[3,4,5,6,7,12,14],[3,4,6,8,9,12,13],[3,4,7,8,10,12,13],[3,5,6,8,10,11,14],[3,5,7,8,9,11,14],[4,5,6,7,10,11,13]]; G[3472]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3473: autom. group order 2, simple, residual B[3473]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,5,7,8,9,10,12],[2,3,6,9,10,13,14],[2,3,7,9,10,11,12],[2,4,5,8,9,11,13],[2,4,6,9,11,12,14],[2,4,7,8,10,13,14],[2,5,6,8,10,11,12],[2,5,7,9,12,13,14],[3,4,5,6,7,12,14],[3,4,6,8,9,12,13],[3,4,7,8,10,11,14],[3,5,6,8,10,12,13],[3,5,7,8,9,11,14],[4,5,6,7,10,11,13]]; G[3473]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3474: autom. group order 2, simple, residual B[3474]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,7,9,10,13,14],[1,5,6,9,10,11,12],[1,5,7,8,9,10,12],[2,3,6,9,10,13,14],[2,3,7,9,10,11,12],[2,4,5,8,9,11,13],[2,4,6,9,11,12,14],[2,4,7,8,10,12,13],[2,5,6,8,10,11,14],[2,5,7,9,12,13,14],[3,4,5,6,7,12,14],[3,4,6,8,9,12,13],[3,4,7,8,10,11,14],[3,5,6,8,10,12,13],[3,5,7,8,9,11,14],[4,5,6,7,10,11,13]]; G[3474]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3475: autom. group order 2, simple, residual B[3475]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,5,7,8,9,10,14],[2,3,6,9,10,13,14],[2,3,7,9,10,11,12],[2,4,5,8,9,11,13],[2,4,6,9,12,13,14],[2,4,7,8,10,11,14],[2,5,6,8,10,12,13],[2,5,7,9,11,12,14],[3,4,5,6,7,12,14],[3,4,6,8,9,11,14],[3,4,7,8,10,13,14],[3,5,6,8,10,11,12],[3,5,7,8,9,12,13],[4,5,6,7,10,11,13]]; G[3475]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3476: autom. group order 2, simple, residual B[3476]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,13,14],[1,5,6,9,10,11,12],[1,5,7,8,9,10,14],[2,3,6,9,10,13,14],[2,3,7,9,10,11,12],[2,4,5,8,9,11,13],[2,4,6,9,12,13,14],[2,4,7,8,10,11,14],[2,5,6,8,10,12,13],[2,5,7,9,11,12,14],[3,4,5,6,7,12,14],[3,4,6,8,9,11,14],[3,4,7,8,10,12,13],[3,5,6,8,10,11,14],[3,5,7,8,9,12,13],[4,5,6,7,10,11,13]]; G[3476]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3477: autom. group order 2, simple, residual B[3477]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,5,7,8,9,10,14],[2,3,6,9,10,13,14],[2,3,7,9,10,11,12],[2,4,5,8,9,11,13],[2,4,6,9,12,13,14],[2,4,7,8,10,13,14],[2,5,6,8,10,11,12],[2,5,7,9,11,12,14],[3,4,5,6,7,12,14],[3,4,6,8,9,11,14],[3,4,7,8,10,11,14],[3,5,6,8,10,12,13],[3,5,7,8,9,12,13],[4,5,6,7,10,11,13]]; G[3477]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3478: autom. group order 2, simple, residual B[3478]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,13,14],[1,5,6,9,10,11,12],[1,5,7,8,9,10,14],[2,3,6,9,10,13,14],[2,3,7,9,10,11,12],[2,4,5,8,9,11,13],[2,4,6,9,12,13,14],[2,4,7,8,10,12,13],[2,5,6,8,10,11,14],[2,5,7,9,11,12,14],[3,4,5,6,7,12,14],[3,4,6,8,9,11,14],[3,4,7,8,10,11,14],[3,5,6,8,10,12,13],[3,5,7,8,9,12,13],[4,5,6,7,10,11,13]]; G[3478]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3479: autom. group order 2, simple, residual B[3479]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,7,9,10,11,14],[1,5,6,9,10,12,13],[1,5,7,8,9,10,12],[2,3,6,9,10,13,14],[2,3,7,9,10,11,12],[2,4,5,8,9,11,13],[2,4,6,9,11,12,14],[2,4,7,8,10,12,13],[2,5,6,8,10,11,14],[2,5,7,9,12,13,14],[3,4,5,6,7,12,14],[3,4,6,8,10,12,13],[3,4,7,8,9,13,14],[3,5,6,8,9,11,12],[3,5,7,8,10,11,14],[4,5,6,7,10,11,13]]; G[3479]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3480: autom. group order 2, simple, residual B[3480]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,7,9,10,11,14],[1,5,6,9,10,12,13],[1,5,7,8,9,10,12],[2,3,6,9,10,13,14],[2,3,7,9,10,11,12],[2,4,5,8,9,11,13],[2,4,6,9,11,12,14],[2,4,7,8,10,13,14],[2,5,6,8,10,11,12],[2,5,7,9,12,13,14],[3,4,5,6,7,12,14],[3,4,6,8,10,12,13],[3,4,7,8,9,12,13],[3,5,6,8,9,11,14],[3,5,7,8,10,11,14],[4,5,6,7,10,11,13]]; G[3480]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3481: autom. group order 2, simple, residual B[3481]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,11,14],[1,5,6,9,10,12,13],[1,5,7,8,9,10,14],[2,3,6,9,10,13,14],[2,3,7,9,10,11,12],[2,4,5,8,9,11,13],[2,4,6,9,12,13,14],[2,4,7,8,10,12,13],[2,5,6,8,10,11,14],[2,5,7,9,11,12,14],[3,4,5,6,7,12,14],[3,4,6,8,10,11,14],[3,4,7,8,9,13,14],[3,5,6,8,9,11,12],[3,5,7,8,10,12,13],[4,5,6,7,10,11,13]]; G[3481]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3482: autom. group order 2, simple, residual B[3482]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,11,14],[1,5,6,9,10,12,13],[1,5,7,8,9,10,14],[2,3,6,9,10,13,14],[2,3,7,9,10,11,12],[2,4,5,8,9,11,13],[2,4,6,9,12,13,14],[2,4,7,8,10,13,14],[2,5,6,8,10,11,12],[2,5,7,9,11,12,14],[3,4,5,6,7,12,14],[3,4,6,8,10,11,14],[3,4,7,8,9,12,13],[3,5,6,8,9,11,14],[3,5,7,8,10,12,13],[4,5,6,7,10,11,13]]; G[3482]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3483: autom. group order 2, simple, residual B[3483]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,5,7,8,9,10,12],[2,3,6,9,10,13,14],[2,3,7,9,10,11,12],[2,4,5,8,9,11,13],[2,4,6,9,11,12,14],[2,4,7,8,10,11,14],[2,5,6,8,10,12,13],[2,5,7,9,12,13,14],[3,4,5,6,7,12,14],[3,4,6,8,10,12,13],[3,4,7,8,9,13,14],[3,5,6,8,9,11,12],[3,5,7,8,10,11,14],[4,5,6,7,10,11,13]]; G[3483]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3484: autom. group order 2, simple, residual B[3484]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,7,9,10,13,14],[1,5,6,9,10,11,12],[1,5,7,8,9,10,12],[2,3,6,9,10,13,14],[2,3,7,9,10,11,12],[2,4,5,8,9,11,13],[2,4,6,9,11,12,14],[2,4,7,8,10,11,14],[2,5,6,8,10,12,13],[2,5,7,9,12,13,14],[3,4,5,6,7,12,14],[3,4,6,8,10,12,13],[3,4,7,8,9,12,13],[3,5,6,8,9,11,14],[3,5,7,8,10,11,14],[4,5,6,7,10,11,13]]; G[3484]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3485: autom. group order 2, simple, residual B[3485]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,5,7,8,9,10,12],[2,3,6,9,10,13,14],[2,3,7,9,10,11,12],[2,4,5,8,9,11,13],[2,4,6,9,11,12,14],[2,4,7,8,10,13,14],[2,5,6,8,10,11,12],[2,5,7,9,12,13,14],[3,4,5,6,7,12,14],[3,4,6,8,10,12,13],[3,4,7,8,9,11,14],[3,5,6,8,9,12,13],[3,5,7,8,10,11,14],[4,5,6,7,10,11,13]]; G[3485]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3486: autom. group order 2, simple, residual B[3486]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,7,9,10,13,14],[1,5,6,9,10,11,12],[1,5,7,8,9,10,12],[2,3,6,9,10,13,14],[2,3,7,9,10,11,12],[2,4,5,8,9,11,13],[2,4,6,9,11,12,14],[2,4,7,8,10,12,13],[2,5,6,8,10,11,14],[2,5,7,9,12,13,14],[3,4,5,6,7,12,14],[3,4,6,8,10,12,13],[3,4,7,8,9,11,14],[3,5,6,8,9,12,13],[3,5,7,8,10,11,14],[4,5,6,7,10,11,13]]; G[3486]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3487: autom. group order 2, simple, residual B[3487]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,5,7,8,9,10,14],[2,3,6,9,10,13,14],[2,3,7,9,10,11,12],[2,4,5,8,9,11,13],[2,4,6,9,12,13,14],[2,4,7,8,10,11,14],[2,5,6,8,10,12,13],[2,5,7,9,11,12,14],[3,4,5,6,7,12,14],[3,4,6,8,10,11,14],[3,4,7,8,9,13,14],[3,5,6,8,9,11,12],[3,5,7,8,10,12,13],[4,5,6,7,10,11,13]]; G[3487]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3488: autom. group order 2, simple, residual B[3488]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,13,14],[1,5,6,9,10,11,12],[1,5,7,8,9,10,14],[2,3,6,9,10,13,14],[2,3,7,9,10,11,12],[2,4,5,8,9,11,13],[2,4,6,9,12,13,14],[2,4,7,8,10,11,14],[2,5,6,8,10,12,13],[2,5,7,9,11,12,14],[3,4,5,6,7,12,14],[3,4,6,8,10,11,14],[3,4,7,8,9,12,13],[3,5,6,8,9,11,14],[3,5,7,8,10,12,13],[4,5,6,7,10,11,13]]; G[3488]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3489: autom. group order 2, simple, residual B[3489]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,5,7,8,9,10,14],[2,3,6,9,10,13,14],[2,3,7,9,10,11,12],[2,4,5,8,9,11,13],[2,4,6,9,12,13,14],[2,4,7,8,10,13,14],[2,5,6,8,10,11,12],[2,5,7,9,11,12,14],[3,4,5,6,7,12,14],[3,4,6,8,10,11,14],[3,4,7,8,9,11,14],[3,5,6,8,9,12,13],[3,5,7,8,10,12,13],[4,5,6,7,10,11,13]]; G[3489]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3490: autom. group order 2, simple, residual B[3490]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,13,14],[1,5,6,9,10,11,12],[1,5,7,8,9,10,14],[2,3,6,9,10,13,14],[2,3,7,9,10,11,12],[2,4,5,8,9,11,13],[2,4,6,9,12,13,14],[2,4,7,8,10,12,13],[2,5,6,8,10,11,14],[2,5,7,9,11,12,14],[3,4,5,6,7,12,14],[3,4,6,8,10,11,14],[3,4,7,8,9,11,14],[3,5,6,8,9,12,13],[3,5,7,8,10,12,13],[4,5,6,7,10,11,13]]; G[3490]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3491: autom. group order 2, simple, residual B[3491]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,7,9,10,11,12],[1,5,6,9,10,13,14],[1,5,7,8,9,10,12],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,6,8,10,11,14],[2,4,7,9,12,13,14],[2,5,6,9,11,12,14],[2,5,7,8,10,12,13],[3,4,5,6,7,12,14],[3,4,6,8,9,12,13],[3,4,7,8,10,13,14],[3,5,6,8,10,11,12],[3,5,7,8,9,11,14],[4,5,6,7,10,11,13]]; G[3491]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3492: autom. group order 2, simple, residual B[3492]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,7,9,10,11,14],[1,5,6,9,10,12,13],[1,5,7,8,9,10,12],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,6,8,10,11,12],[2,4,7,9,12,13,14],[2,5,6,9,11,12,14],[2,5,7,8,10,13,14],[3,4,5,6,7,12,14],[3,4,6,8,9,13,14],[3,4,7,8,10,12,13],[3,5,6,8,10,11,14],[3,5,7,8,9,11,12],[4,5,6,7,10,11,13]]; G[3492]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3493: autom. group order 2, simple, residual B[3493]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,7,9,10,11,12],[1,5,6,9,10,13,14],[1,5,7,8,9,10,12],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,6,8,10,12,13],[2,4,7,9,12,13,14],[2,5,6,9,11,12,14],[2,5,7,8,10,11,14],[3,4,5,6,7,12,14],[3,4,6,8,9,11,14],[3,4,7,8,10,13,14],[3,5,6,8,10,11,12],[3,5,7,8,9,12,13],[4,5,6,7,10,11,13]]; G[3493]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3494: autom. group order 2, simple, residual B[3494]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,7,9,10,11,14],[1,5,6,9,10,12,13],[1,5,7,8,9,10,12],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,6,8,10,13,14],[2,4,7,9,12,13,14],[2,5,6,9,11,12,14],[2,5,7,8,10,11,12],[3,4,5,6,7,12,14],[3,4,6,8,9,11,12],[3,4,7,8,10,12,13],[3,5,6,8,10,11,14],[3,5,7,8,9,13,14],[4,5,6,7,10,11,13]]; G[3494]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3495: autom. group order 2, simple, residual B[3495]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,5,7,8,9,10,14],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,6,8,10,11,14],[2,4,7,9,11,12,14],[2,5,6,9,12,13,14],[2,5,7,8,10,12,13],[3,4,5,6,7,12,14],[3,4,6,8,9,13,14],[3,4,7,8,10,13,14],[3,5,6,8,10,11,12],[3,5,7,8,9,11,12],[4,5,6,7,10,11,13]]; G[3495]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3496: autom. group order 2, simple, residual B[3496]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,13,14],[1,5,6,9,10,11,12],[1,5,7,8,9,10,14],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,6,8,10,11,14],[2,4,7,9,11,12,14],[2,5,6,9,12,13,14],[2,5,7,8,10,12,13],[3,4,5,6,7,12,14],[3,4,6,8,9,13,14],[3,4,7,8,10,12,13],[3,5,6,8,10,11,14],[3,5,7,8,9,11,12],[4,5,6,7,10,11,13]]; G[3496]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3497: autom. group order 2, simple, residual B[3497]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,5,7,8,9,10,12],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,6,8,10,11,12],[2,4,7,9,12,13,14],[2,5,6,9,11,12,14],[2,5,7,8,10,13,14],[3,4,5,6,7,12,14],[3,4,6,8,9,13,14],[3,4,7,8,10,11,14],[3,5,6,8,10,12,13],[3,5,7,8,9,11,12],[4,5,6,7,10,11,13]]; G[3497]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3498: autom. group order 2, simple, residual B[3498]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,7,9,10,13,14],[1,5,6,9,10,11,12],[1,5,7,8,9,10,12],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,6,8,10,11,14],[2,4,7,9,12,13,14],[2,5,6,9,11,12,14],[2,5,7,8,10,12,13],[3,4,5,6,7,12,14],[3,4,6,8,9,12,13],[3,4,7,8,10,11,12],[3,5,6,8,10,13,14],[3,5,7,8,9,11,14],[4,5,6,7,10,11,13]]; G[3498]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3499: autom. group order 2, simple, residual B[3499]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,5,7,8,9,10,14],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,6,8,10,13,14],[2,4,7,9,11,12,14],[2,5,6,9,12,13,14],[2,5,7,8,10,11,12],[3,4,5,6,7,12,14],[3,4,6,8,9,11,14],[3,4,7,8,10,13,14],[3,5,6,8,10,11,12],[3,5,7,8,9,12,13],[4,5,6,7,10,11,13]]; G[3499]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3500: autom. group order 2, simple, residual B[3500]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,13,14],[1,5,6,9,10,11,12],[1,5,7,8,9,10,14],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,6,8,10,13,14],[2,4,7,9,11,12,14],[2,5,6,9,12,13,14],[2,5,7,8,10,11,12],[3,4,5,6,7,12,14],[3,4,6,8,9,11,14],[3,4,7,8,10,12,13],[3,5,6,8,10,11,14],[3,5,7,8,9,12,13],[4,5,6,7,10,11,13]]; G[3500]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3501: autom. group order 2, simple, residual B[3501]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,5,7,8,9,10,12],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,6,8,10,13,14],[2,4,7,9,12,13,14],[2,5,6,9,11,12,14],[2,5,7,8,10,11,12],[3,4,5,6,7,12,14],[3,4,6,8,9,11,12],[3,4,7,8,10,11,14],[3,5,6,8,10,12,13],[3,5,7,8,9,13,14],[4,5,6,7,10,11,13]]; G[3501]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3502: autom. group order 2, simple, residual B[3502]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,7,9,10,13,14],[1,5,6,9,10,11,12],[1,5,7,8,9,10,12],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,6,8,10,12,13],[2,4,7,9,12,13,14],[2,5,6,9,11,12,14],[2,5,7,8,10,11,14],[3,4,5,6,7,12,14],[3,4,6,8,9,11,14],[3,4,7,8,10,11,12],[3,5,6,8,10,13,14],[3,5,7,8,9,12,13],[4,5,6,7,10,11,13]]; G[3502]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3503: autom. group order 2, simple, residual B[3503]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,7,9,10,11,12],[1,5,6,9,10,13,14],[1,5,7,8,9,10,12],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,6,8,10,11,14],[2,4,7,9,12,13,14],[2,5,6,9,11,12,14],[2,5,7,8,10,12,13],[3,4,5,6,7,12,14],[3,4,6,8,10,12,13],[3,4,7,8,9,13,14],[3,5,6,8,9,11,12],[3,5,7,8,10,11,14],[4,5,6,7,10,11,13]]; G[3503]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3504: autom. group order 2, simple, residual B[3504]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,7,9,10,11,14],[1,5,6,9,10,12,13],[1,5,7,8,9,10,12],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,6,8,10,11,12],[2,4,7,9,12,13,14],[2,5,6,9,11,12,14],[2,5,7,8,10,13,14],[3,4,5,6,7,12,14],[3,4,6,8,10,13,14],[3,4,7,8,9,12,13],[3,5,6,8,9,11,14],[3,5,7,8,10,11,12],[4,5,6,7,10,11,13]]; G[3504]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3505: autom. group order 2, simple, residual B[3505]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,7,9,10,11,12],[1,5,6,9,10,13,14],[1,5,7,8,9,10,12],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,6,8,10,12,13],[2,4,7,9,12,13,14],[2,5,6,9,11,12,14],[2,5,7,8,10,11,14],[3,4,5,6,7,12,14],[3,4,6,8,10,11,14],[3,4,7,8,9,13,14],[3,5,6,8,9,11,12],[3,5,7,8,10,12,13],[4,5,6,7,10,11,13]]; G[3505]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3506: autom. group order 2, simple, residual B[3506]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,7,9,10,11,14],[1,5,6,9,10,12,13],[1,5,7,8,9,10,12],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,6,8,10,13,14],[2,4,7,9,12,13,14],[2,5,6,9,11,12,14],[2,5,7,8,10,11,12],[3,4,5,6,7,12,14],[3,4,6,8,10,11,12],[3,4,7,8,9,12,13],[3,5,6,8,9,11,14],[3,5,7,8,10,13,14],[4,5,6,7,10,11,13]]; G[3506]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3507: autom. group order 2, simple, residual B[3507]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,5,7,8,9,10,14],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,6,8,10,11,14],[2,4,7,9,11,12,14],[2,5,6,9,12,13,14],[2,5,7,8,10,12,13],[3,4,5,6,7,12,14],[3,4,6,8,10,13,14],[3,4,7,8,9,13,14],[3,5,6,8,9,11,12],[3,5,7,8,10,11,12],[4,5,6,7,10,11,13]]; G[3507]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3508: autom. group order 2, simple, residual B[3508]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,13,14],[1,5,6,9,10,11,12],[1,5,7,8,9,10,14],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,6,8,10,11,14],[2,4,7,9,11,12,14],[2,5,6,9,12,13,14],[2,5,7,8,10,12,13],[3,4,5,6,7,12,14],[3,4,6,8,10,13,14],[3,4,7,8,9,12,13],[3,5,6,8,9,11,14],[3,5,7,8,10,11,12],[4,5,6,7,10,11,13]]; G[3508]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3509: autom. group order 2, simple, residual B[3509]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,5,7,8,9,10,12],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,6,8,10,11,12],[2,4,7,9,12,13,14],[2,5,6,9,11,12,14],[2,5,7,8,10,13,14],[3,4,5,6,7,12,14],[3,4,6,8,10,13,14],[3,4,7,8,9,11,14],[3,5,6,8,9,12,13],[3,5,7,8,10,11,12],[4,5,6,7,10,11,13]]; G[3509]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3510: autom. group order 2, simple, residual B[3510]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,7,9,10,13,14],[1,5,6,9,10,11,12],[1,5,7,8,9,10,12],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,6,8,10,11,14],[2,4,7,9,12,13,14],[2,5,6,9,11,12,14],[2,5,7,8,10,12,13],[3,4,5,6,7,12,14],[3,4,6,8,10,12,13],[3,4,7,8,9,11,12],[3,5,6,8,9,13,14],[3,5,7,8,10,11,14],[4,5,6,7,10,11,13]]; G[3510]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3511: autom. group order 2, simple, residual B[3511]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,5,7,8,9,10,14],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,6,8,10,13,14],[2,4,7,9,11,12,14],[2,5,6,9,12,13,14],[2,5,7,8,10,11,12],[3,4,5,6,7,12,14],[3,4,6,8,10,11,14],[3,4,7,8,9,13,14],[3,5,6,8,9,11,12],[3,5,7,8,10,12,13],[4,5,6,7,10,11,13]]; G[3511]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3512: autom. group order 2, simple, residual B[3512]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,13,14],[1,5,6,9,10,11,12],[1,5,7,8,9,10,14],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,6,8,10,13,14],[2,4,7,9,11,12,14],[2,5,6,9,12,13,14],[2,5,7,8,10,11,12],[3,4,5,6,7,12,14],[3,4,6,8,10,11,14],[3,4,7,8,9,12,13],[3,5,6,8,9,11,14],[3,5,7,8,10,12,13],[4,5,6,7,10,11,13]]; G[3512]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3513: autom. group order 2, simple, residual B[3513]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,5,7,8,9,10,12],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,6,8,10,13,14],[2,4,7,9,12,13,14],[2,5,6,9,11,12,14],[2,5,7,8,10,11,12],[3,4,5,6,7,12,14],[3,4,6,8,10,11,12],[3,4,7,8,9,11,14],[3,5,6,8,9,12,13],[3,5,7,8,10,13,14],[4,5,6,7,10,11,13]]; G[3513]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3514: autom. group order 2, simple, residual B[3514]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,7,9,10,13,14],[1,5,6,9,10,11,12],[1,5,7,8,9,10,12],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,6,8,10,12,13],[2,4,7,9,12,13,14],[2,5,6,9,11,12,14],[2,5,7,8,10,11,14],[3,4,5,6,7,12,14],[3,4,6,8,10,11,14],[3,4,7,8,9,11,12],[3,5,6,8,9,13,14],[3,5,7,8,10,12,13],[4,5,6,7,10,11,13]]; G[3514]:=Group([(4,5)(6,7)(11,13)(12,14)]); # Design 3515: autom. group order 2, simple, residual B[3515]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,12],[1,2,6,7,8,13,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,7,9,10,11,14],[1,5,6,8,9,10,12],[1,5,7,9,10,12,13],[2,3,6,9,10,11,13],[2,3,7,9,10,12,14],[2,4,5,8,9,11,13],[2,4,6,9,11,12,14],[2,4,7,8,10,12,13],[2,5,6,9,12,13,14],[2,5,7,8,10,11,14],[3,4,5,6,7,12,14],[3,4,6,8,10,12,13],[3,4,7,8,9,13,14],[3,5,6,8,10,11,14],[3,5,7,8,9,11,12],[4,5,6,7,10,11,13]]; G[3515]:=Group([(4,5)(11,13)(12,14)]); # Design 3516: autom. group order 2, simple, residual B[3516]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,12],[1,2,6,7,8,13,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,7,9,10,11,14],[1,5,6,8,9,10,12],[1,5,7,9,10,12,13],[2,3,6,9,10,11,13],[2,3,7,9,10,12,14],[2,4,5,8,9,11,13],[2,4,6,9,11,12,14],[2,4,7,8,10,12,13],[2,5,6,9,12,13,14],[2,5,7,8,10,11,14],[3,4,5,6,7,12,14],[3,4,6,8,10,13,14],[3,4,7,8,9,12,13],[3,5,6,8,10,11,12],[3,5,7,8,9,11,14],[4,5,6,7,10,11,13]]; G[3516]:=Group([(4,5)(11,13)(12,14)]); # Design 3517: autom. group order 2, simple, residual B[3517]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,12],[1,2,6,7,8,13,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,7,9,10,11,14],[1,5,6,8,9,10,12],[1,5,7,9,10,12,13],[2,3,6,9,10,11,13],[2,3,7,9,10,12,14],[2,4,5,8,9,11,13],[2,4,6,9,11,12,14],[2,4,7,8,10,13,14],[2,5,6,9,12,13,14],[2,5,7,8,10,11,12],[3,4,5,6,7,12,14],[3,4,6,8,10,12,13],[3,4,7,8,9,12,13],[3,5,6,8,10,11,14],[3,5,7,8,9,11,14],[4,5,6,7,10,11,13]]; G[3517]:=Group([(4,5)(11,13)(12,14)]); # Design 3518: autom. group order 2, simple, residual B[3518]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,14],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,11,13],[1,5,6,8,9,10,13],[1,5,7,9,10,12,14],[2,3,6,9,10,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,14],[2,4,6,9,11,12,13],[2,4,7,8,10,12,14],[2,5,6,9,12,13,14],[2,5,7,8,10,11,13],[3,4,5,6,7,12,13],[3,4,6,8,10,13,14],[3,4,7,8,9,13,14],[3,5,6,8,10,11,12],[3,5,7,8,9,11,12],[4,5,6,7,10,11,14]]; G[3518]:=Group([(4,5)(11,14)(12,13)]); # Design 3519: autom. group order 2, simple, residual B[3519]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,14],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,11,13],[1,5,6,8,9,10,13],[1,5,7,9,10,12,14],[2,3,6,9,10,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,14],[2,4,6,9,11,12,13],[2,4,7,8,10,13,14],[2,5,6,9,12,13,14],[2,5,7,8,10,11,12],[3,4,5,6,7,12,13],[3,4,6,8,10,12,14],[3,4,7,8,9,13,14],[3,5,6,8,10,11,13],[3,5,7,8,9,11,12],[4,5,6,7,10,11,14]]; G[3519]:=Group([(4,5)(11,14)(12,13)]); # Design 3520: autom. group order 2, simple, residual B[3520]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,14],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,11,13],[1,5,6,8,9,10,13],[1,5,7,9,10,12,14],[2,3,6,9,10,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,14],[2,4,6,9,11,12,13],[2,4,7,8,10,13,14],[2,5,6,9,12,13,14],[2,5,7,8,10,11,12],[3,4,5,6,7,12,13],[3,4,6,8,10,13,14],[3,4,7,8,9,12,14],[3,5,6,8,10,11,12],[3,5,7,8,9,11,13],[4,5,6,7,10,11,14]]; G[3520]:=Group([(4,5)(11,14)(12,13)]); # Design 3521: autom. group order 2, simple, residual B[3521]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,12],[1,2,6,7,8,13,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,11,14],[1,5,6,8,9,10,14],[1,5,7,9,10,12,13],[2,3,6,9,10,11,13],[2,3,7,9,10,12,14],[2,4,5,8,9,11,13],[2,4,6,9,12,13,14],[2,4,7,8,10,11,14],[2,5,6,9,11,12,14],[2,5,7,8,10,12,13],[3,4,5,6,7,12,14],[3,4,6,8,10,12,13],[3,4,7,8,9,13,14],[3,5,6,8,10,11,14],[3,5,7,8,9,11,12],[4,5,6,7,10,11,13]]; G[3521]:=Group([(4,5)(11,13)(12,14)]); # Design 3522: autom. group order 2, simple, residual B[3522]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,12],[1,2,6,7,8,13,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,11,14],[1,5,6,8,9,10,14],[1,5,7,9,10,12,13],[2,3,6,9,10,11,13],[2,3,7,9,10,12,14],[2,4,5,8,9,11,13],[2,4,6,9,12,13,14],[2,4,7,8,10,11,14],[2,5,6,9,11,12,14],[2,5,7,8,10,12,13],[3,4,5,6,7,12,14],[3,4,6,8,10,13,14],[3,4,7,8,9,12,13],[3,5,6,8,10,11,12],[3,5,7,8,9,11,14],[4,5,6,7,10,11,13]]; G[3522]:=Group([(4,5)(11,13)(12,14)]); # Design 3523: autom. group order 2, simple, residual B[3523]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,14],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,13],[1,4,7,9,10,11,12],[1,5,6,8,9,10,12],[1,5,7,9,10,13,14],[2,3,6,9,10,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,14],[2,4,6,9,12,13,14],[2,4,7,8,10,11,13],[2,5,6,9,11,12,13],[2,5,7,8,10,12,14],[3,4,5,6,7,12,13],[3,4,6,8,10,12,14],[3,4,7,8,9,13,14],[3,5,6,8,10,11,13],[3,5,7,8,9,11,12],[4,5,6,7,10,11,14]]; G[3523]:=Group([(4,5)(11,14)(12,13)]); # Design 3524: autom. group order 2, simple, residual B[3524]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,14],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,13],[1,4,7,9,10,11,12],[1,5,6,8,9,10,12],[1,5,7,9,10,13,14],[2,3,6,9,10,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,14],[2,4,6,9,12,13,14],[2,4,7,8,10,11,13],[2,5,6,9,11,12,13],[2,5,7,8,10,12,14],[3,4,5,6,7,12,13],[3,4,6,8,10,13,14],[3,4,7,8,9,12,14],[3,5,6,8,10,11,12],[3,5,7,8,9,11,13],[4,5,6,7,10,11,14]]; G[3524]:=Group([(4,5)(11,14)(12,13)]); # Design 3525: autom. group order 2, simple, residual B[3525]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,14],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,13],[1,4,7,9,10,11,13],[1,5,6,8,9,10,12],[1,5,7,9,10,12,14],[2,3,6,9,10,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,14],[2,4,6,9,12,13,14],[2,4,7,8,10,11,12],[2,5,6,9,11,12,13],[2,5,7,8,10,13,14],[3,4,5,6,7,12,13],[3,4,6,8,10,12,14],[3,4,7,8,9,13,14],[3,5,6,8,10,11,13],[3,5,7,8,9,11,12],[4,5,6,7,10,11,14]]; G[3525]:=Group([(4,5)(11,14)(12,13)]); # Design 3526: autom. group order 2, simple, residual B[3526]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,14],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,13],[1,4,7,9,10,11,13],[1,5,6,8,9,10,12],[1,5,7,9,10,12,14],[2,3,6,9,10,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,14],[2,4,6,9,12,13,14],[2,4,7,8,10,11,12],[2,5,6,9,11,12,13],[2,5,7,8,10,13,14],[3,4,5,6,7,12,13],[3,4,6,8,10,13,14],[3,4,7,8,9,12,14],[3,5,6,8,10,11,12],[3,5,7,8,9,11,13],[4,5,6,7,10,11,14]]; G[3526]:=Group([(4,5)(11,14)(12,13)]); # Design 3527: autom. group order 2, simple, residual B[3527]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,12],[1,2,6,7,8,13,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,11,14],[1,5,6,8,9,10,14],[1,5,7,9,10,12,13],[2,3,6,9,10,11,13],[2,3,7,9,10,12,14],[2,4,5,8,9,11,13],[2,4,6,9,12,13,14],[2,4,7,8,10,12,13],[2,5,6,9,11,12,14],[2,5,7,8,10,11,14],[3,4,5,6,7,12,14],[3,4,6,8,10,11,14],[3,4,7,8,9,13,14],[3,5,6,8,10,12,13],[3,5,7,8,9,11,12],[4,5,6,7,10,11,13]]; G[3527]:=Group([(4,5)(11,13)(12,14)]); # Design 3528: autom. group order 2, simple, residual B[3528]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,12],[1,2,6,7,8,13,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,11,14],[1,5,6,8,9,10,14],[1,5,7,9,10,12,13],[2,3,6,9,10,11,13],[2,3,7,9,10,12,14],[2,4,5,8,9,11,13],[2,4,6,9,12,13,14],[2,4,7,8,10,13,14],[2,5,6,9,11,12,14],[2,5,7,8,10,11,12],[3,4,5,6,7,12,14],[3,4,6,8,10,11,14],[3,4,7,8,9,12,13],[3,5,6,8,10,12,13],[3,5,7,8,9,11,14],[4,5,6,7,10,11,13]]; G[3528]:=Group([(4,5)(11,13)(12,14)]); # Design 3529: autom. group order 2, simple, residual B[3529]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,14],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,13],[1,4,7,9,10,11,12],[1,5,6,8,9,10,12],[1,5,7,9,10,13,14],[2,3,6,9,10,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,14],[2,4,6,9,12,13,14],[2,4,7,8,10,12,14],[2,5,6,9,11,12,13],[2,5,7,8,10,11,13],[3,4,5,6,7,12,13],[3,4,6,8,10,11,13],[3,4,7,8,9,13,14],[3,5,6,8,10,12,14],[3,5,7,8,9,11,12],[4,5,6,7,10,11,14]]; G[3529]:=Group([(4,5)(11,14)(12,13)]); # Design 3530: autom. group order 2, simple, residual B[3530]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,14],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,13],[1,4,7,9,10,11,12],[1,5,6,8,9,10,12],[1,5,7,9,10,13,14],[2,3,6,9,10,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,14],[2,4,6,9,12,13,14],[2,4,7,8,10,13,14],[2,5,6,9,11,12,13],[2,5,7,8,10,11,12],[3,4,5,6,7,12,13],[3,4,6,8,10,11,13],[3,4,7,8,9,12,14],[3,5,6,8,10,12,14],[3,5,7,8,9,11,13],[4,5,6,7,10,11,14]]; G[3530]:=Group([(4,5)(11,14)(12,13)]); # Design 3531: autom. group order 2, simple, residual B[3531]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,14],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,13],[1,4,7,9,10,11,13],[1,5,6,8,9,10,12],[1,5,7,9,10,12,14],[2,3,6,9,10,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,14],[2,4,6,9,12,13,14],[2,4,7,8,10,12,14],[2,5,6,9,11,12,13],[2,5,7,8,10,11,13],[3,4,5,6,7,12,13],[3,4,6,8,10,11,12],[3,4,7,8,9,13,14],[3,5,6,8,10,13,14],[3,5,7,8,9,11,12],[4,5,6,7,10,11,14]]; G[3531]:=Group([(4,5)(11,14)(12,13)]); # Design 3532: autom. group order 2, simple, residual B[3532]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,14],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,13],[1,4,7,9,10,11,13],[1,5,6,8,9,10,12],[1,5,7,9,10,12,14],[2,3,6,9,10,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,14],[2,4,6,9,12,13,14],[2,4,7,8,10,13,14],[2,5,6,9,11,12,13],[2,5,7,8,10,11,12],[3,4,5,6,7,12,13],[3,4,6,8,10,11,12],[3,4,7,8,9,12,14],[3,5,6,8,10,13,14],[3,5,7,8,9,11,13],[4,5,6,7,10,11,14]]; G[3532]:=Group([(4,5)(11,14)(12,13)]); # Design 3533: autom. group order 2, simple, residual B[3533]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,12],[1,2,6,7,8,13,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,11,14],[1,5,6,8,9,10,14],[1,5,7,9,10,12,13],[2,3,6,9,10,11,13],[2,3,7,9,10,12,14],[2,4,5,8,9,11,13],[2,4,6,9,12,13,14],[2,4,7,8,10,12,13],[2,5,6,9,11,12,14],[2,5,7,8,10,11,14],[3,4,5,6,7,12,14],[3,4,6,8,10,13,14],[3,4,7,8,9,11,14],[3,5,6,8,10,11,12],[3,5,7,8,9,12,13],[4,5,6,7,10,11,13]]; G[3533]:=Group([(4,5)(11,13)(12,14)]); # Design 3534: autom. group order 2, simple, residual B[3534]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,12],[1,2,6,7,8,13,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,11,14],[1,5,6,8,9,10,14],[1,5,7,9,10,12,13],[2,3,6,9,10,11,13],[2,3,7,9,10,12,14],[2,4,5,8,9,11,13],[2,4,6,9,12,13,14],[2,4,7,8,10,13,14],[2,5,6,9,11,12,14],[2,5,7,8,10,11,12],[3,4,5,6,7,12,14],[3,4,6,8,10,12,13],[3,4,7,8,9,11,14],[3,5,6,8,10,11,14],[3,5,7,8,9,12,13],[4,5,6,7,10,11,13]]; G[3534]:=Group([(4,5)(11,13)(12,14)]); # Design 3535: autom. group order 2, simple, residual B[3535]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,14],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,13],[1,4,7,9,10,11,12],[1,5,6,8,9,10,12],[1,5,7,9,10,13,14],[2,3,6,9,10,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,14],[2,4,6,9,12,13,14],[2,4,7,8,10,12,14],[2,5,6,9,11,12,13],[2,5,7,8,10,11,13],[3,4,5,6,7,12,13],[3,4,6,8,10,13,14],[3,4,7,8,9,11,13],[3,5,6,8,10,11,12],[3,5,7,8,9,12,14],[4,5,6,7,10,11,14]]; G[3535]:=Group([(4,5)(11,14)(12,13)]); # Design 3536: autom. group order 2, simple, residual B[3536]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,14],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,13],[1,4,7,9,10,11,12],[1,5,6,8,9,10,12],[1,5,7,9,10,13,14],[2,3,6,9,10,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,14],[2,4,6,9,12,13,14],[2,4,7,8,10,13,14],[2,5,6,9,11,12,13],[2,5,7,8,10,11,12],[3,4,5,6,7,12,13],[3,4,6,8,10,12,14],[3,4,7,8,9,11,13],[3,5,6,8,10,11,13],[3,5,7,8,9,12,14],[4,5,6,7,10,11,14]]; G[3536]:=Group([(4,5)(11,14)(12,13)]); # Design 3537: autom. group order 2, simple, residual B[3537]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,14],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,13],[1,4,7,9,10,11,13],[1,5,6,8,9,10,12],[1,5,7,9,10,12,14],[2,3,6,9,10,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,14],[2,4,6,9,12,13,14],[2,4,7,8,10,12,14],[2,5,6,9,11,12,13],[2,5,7,8,10,11,13],[3,4,5,6,7,12,13],[3,4,6,8,10,13,14],[3,4,7,8,9,11,12],[3,5,6,8,10,11,12],[3,5,7,8,9,13,14],[4,5,6,7,10,11,14]]; G[3537]:=Group([(4,5)(11,14)(12,13)]); # Design 3538: autom. group order 2, simple, residual B[3538]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,14],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,13],[1,4,7,9,10,11,13],[1,5,6,8,9,10,12],[1,5,7,9,10,12,14],[2,3,6,9,10,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,14],[2,4,6,9,12,13,14],[2,4,7,8,10,13,14],[2,5,6,9,11,12,13],[2,5,7,8,10,11,12],[3,4,5,6,7,12,13],[3,4,6,8,10,12,14],[3,4,7,8,9,11,12],[3,5,6,8,10,11,13],[3,5,7,8,9,13,14],[4,5,6,7,10,11,14]]; G[3538]:=Group([(4,5)(11,14)(12,13)]); # Design 3539: autom. group order 2, simple, residual B[3539]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,12],[1,2,6,7,8,13,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,7,9,10,12,13],[1,5,6,8,9,10,12],[1,5,7,9,10,11,14],[2,3,6,9,10,11,13],[2,3,7,9,10,12,14],[2,4,5,8,9,11,13],[2,4,6,9,11,12,14],[2,4,7,8,10,11,14],[2,5,6,9,12,13,14],[2,5,7,8,10,12,13],[3,4,5,6,7,12,14],[3,4,6,8,10,12,13],[3,4,7,8,9,13,14],[3,5,6,8,10,11,14],[3,5,7,8,9,11,12],[4,5,6,7,10,11,13]]; G[3539]:=Group([(4,5)(11,13)(12,14)]); # Design 3540: autom. group order 2, simple, residual B[3540]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,12],[1,2,6,7,8,13,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,7,9,10,12,13],[1,5,6,8,9,10,12],[1,5,7,9,10,11,14],[2,3,6,9,10,11,13],[2,3,7,9,10,12,14],[2,4,5,8,9,11,13],[2,4,6,9,11,12,14],[2,4,7,8,10,11,14],[2,5,6,9,12,13,14],[2,5,7,8,10,12,13],[3,4,5,6,7,12,14],[3,4,6,8,10,13,14],[3,4,7,8,9,12,13],[3,5,6,8,10,11,12],[3,5,7,8,9,11,14],[4,5,6,7,10,11,13]]; G[3540]:=Group([(4,5)(11,13)(12,14)]); # Design 3541: autom. group order 2, simple, residual B[3541]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,14],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,12,14],[1,5,6,8,9,10,13],[1,5,7,9,10,11,13],[2,3,6,9,10,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,14],[2,4,6,9,11,12,13],[2,4,7,8,10,11,13],[2,5,6,9,12,13,14],[2,5,7,8,10,12,14],[3,4,5,6,7,12,13],[3,4,6,8,10,13,14],[3,4,7,8,9,13,14],[3,5,6,8,10,11,12],[3,5,7,8,9,11,12],[4,5,6,7,10,11,14]]; G[3541]:=Group([(4,5)(11,14)(12,13)]); # Design 3542: autom. group order 2, simple, residual B[3542]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,14],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,13,14],[1,5,6,8,9,10,13],[1,5,7,9,10,11,12],[2,3,6,9,10,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,14],[2,4,6,9,11,12,13],[2,4,7,8,10,11,13],[2,5,6,9,12,13,14],[2,5,7,8,10,12,14],[3,4,5,6,7,12,13],[3,4,6,8,10,12,14],[3,4,7,8,9,13,14],[3,5,6,8,10,11,13],[3,5,7,8,9,11,12],[4,5,6,7,10,11,14]]; G[3542]:=Group([(4,5)(11,14)(12,13)]); # Design 3543: autom. group order 2, simple, residual B[3543]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,14],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,13,14],[1,5,6,8,9,10,13],[1,5,7,9,10,11,12],[2,3,6,9,10,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,14],[2,4,6,9,11,12,13],[2,4,7,8,10,11,13],[2,5,6,9,12,13,14],[2,5,7,8,10,12,14],[3,4,5,6,7,12,13],[3,4,6,8,10,13,14],[3,4,7,8,9,12,14],[3,5,6,8,10,11,12],[3,5,7,8,9,11,13],[4,5,6,7,10,11,14]]; G[3543]:=Group([(4,5)(11,14)(12,13)]); # Design 3544: autom. group order 2, simple, residual B[3544]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,12],[1,2,6,7,8,13,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,7,9,10,12,13],[1,5,6,8,9,10,12],[1,5,7,9,10,11,14],[2,3,6,9,10,11,13],[2,3,7,9,10,12,14],[2,4,5,8,9,11,13],[2,4,6,9,11,12,14],[2,4,7,8,10,12,13],[2,5,6,9,12,13,14],[2,5,7,8,10,11,14],[3,4,5,6,7,12,14],[3,4,6,8,10,11,14],[3,4,7,8,9,13,14],[3,5,6,8,10,12,13],[3,5,7,8,9,11,12],[4,5,6,7,10,11,13]]; G[3544]:=Group([(4,5)(11,13)(12,14)]); # Design 3545: autom. group order 2, simple, residual B[3545]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,12],[1,2,6,7,8,13,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,7,9,10,12,13],[1,5,6,8,9,10,12],[1,5,7,9,10,11,14],[2,3,6,9,10,11,13],[2,3,7,9,10,12,14],[2,4,5,8,9,11,13],[2,4,6,9,11,12,14],[2,4,7,8,10,13,14],[2,5,6,9,12,13,14],[2,5,7,8,10,11,12],[3,4,5,6,7,12,14],[3,4,6,8,10,11,14],[3,4,7,8,9,12,13],[3,5,6,8,10,12,13],[3,5,7,8,9,11,14],[4,5,6,7,10,11,13]]; G[3545]:=Group([(4,5)(11,13)(12,14)]); # Design 3546: autom. group order 2, simple, residual B[3546]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,14],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,12,14],[1,5,6,8,9,10,13],[1,5,7,9,10,11,13],[2,3,6,9,10,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,14],[2,4,6,9,11,12,13],[2,4,7,8,10,13,14],[2,5,6,9,12,13,14],[2,5,7,8,10,11,12],[3,4,5,6,7,12,13],[3,4,6,8,10,11,13],[3,4,7,8,9,13,14],[3,5,6,8,10,12,14],[3,5,7,8,9,11,12],[4,5,6,7,10,11,14]]; G[3546]:=Group([(4,5)(11,14)(12,13)]); # Design 3547: autom. group order 2, simple, residual B[3547]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,14],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,13,14],[1,5,6,8,9,10,13],[1,5,7,9,10,11,12],[2,3,6,9,10,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,14],[2,4,6,9,11,12,13],[2,4,7,8,10,12,14],[2,5,6,9,12,13,14],[2,5,7,8,10,11,13],[3,4,5,6,7,12,13],[3,4,6,8,10,11,13],[3,4,7,8,9,13,14],[3,5,6,8,10,12,14],[3,5,7,8,9,11,12],[4,5,6,7,10,11,14]]; G[3547]:=Group([(4,5)(11,14)(12,13)]); # Design 3548: autom. group order 2, simple, residual B[3548]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,14],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,13,14],[1,5,6,8,9,10,13],[1,5,7,9,10,11,12],[2,3,6,9,10,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,14],[2,4,6,9,11,12,13],[2,4,7,8,10,13,14],[2,5,6,9,12,13,14],[2,5,7,8,10,11,12],[3,4,5,6,7,12,13],[3,4,6,8,10,11,13],[3,4,7,8,9,12,14],[3,5,6,8,10,12,14],[3,5,7,8,9,11,13],[4,5,6,7,10,11,14]]; G[3548]:=Group([(4,5)(11,14)(12,13)]); # Design 3549: autom. group order 2, simple, residual B[3549]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,12],[1,2,6,7,8,13,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,7,9,10,12,13],[1,5,6,8,9,10,12],[1,5,7,9,10,11,14],[2,3,6,9,10,11,13],[2,3,7,9,10,12,14],[2,4,5,8,9,11,13],[2,4,6,9,11,12,14],[2,4,7,8,10,12,13],[2,5,6,9,12,13,14],[2,5,7,8,10,11,14],[3,4,5,6,7,12,14],[3,4,6,8,10,13,14],[3,4,7,8,9,11,14],[3,5,6,8,10,11,12],[3,5,7,8,9,12,13],[4,5,6,7,10,11,13]]; G[3549]:=Group([(4,5)(11,13)(12,14)]); # Design 3550: autom. group order 2, simple, residual B[3550]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,12],[1,2,6,7,8,13,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,7,9,10,12,13],[1,5,6,8,9,10,12],[1,5,7,9,10,11,14],[2,3,6,9,10,11,13],[2,3,7,9,10,12,14],[2,4,5,8,9,11,13],[2,4,6,9,11,12,14],[2,4,7,8,10,13,14],[2,5,6,9,12,13,14],[2,5,7,8,10,11,12],[3,4,5,6,7,12,14],[3,4,6,8,10,12,13],[3,4,7,8,9,11,14],[3,5,6,8,10,11,14],[3,5,7,8,9,12,13],[4,5,6,7,10,11,13]]; G[3550]:=Group([(4,5)(11,13)(12,14)]); # Design 3551: autom. group order 2, simple, residual B[3551]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,14],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,12,14],[1,5,6,8,9,10,13],[1,5,7,9,10,11,13],[2,3,6,9,10,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,14],[2,4,6,9,11,12,13],[2,4,7,8,10,13,14],[2,5,6,9,12,13,14],[2,5,7,8,10,11,12],[3,4,5,6,7,12,13],[3,4,6,8,10,13,14],[3,4,7,8,9,11,13],[3,5,6,8,10,11,12],[3,5,7,8,9,12,14],[4,5,6,7,10,11,14]]; G[3551]:=Group([(4,5)(11,14)(12,13)]); # Design 3552: autom. group order 2, simple, residual B[3552]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,14],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,13,14],[1,5,6,8,9,10,13],[1,5,7,9,10,11,12],[2,3,6,9,10,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,14],[2,4,6,9,11,12,13],[2,4,7,8,10,12,14],[2,5,6,9,12,13,14],[2,5,7,8,10,11,13],[3,4,5,6,7,12,13],[3,4,6,8,10,13,14],[3,4,7,8,9,11,13],[3,5,6,8,10,11,12],[3,5,7,8,9,12,14],[4,5,6,7,10,11,14]]; G[3552]:=Group([(4,5)(11,14)(12,13)]); # Design 3553: autom. group order 2, simple, residual B[3553]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,14],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,13,14],[1,5,6,8,9,10,13],[1,5,7,9,10,11,12],[2,3,6,9,10,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,14],[2,4,6,9,11,12,13],[2,4,7,8,10,13,14],[2,5,6,9,12,13,14],[2,5,7,8,10,11,12],[3,4,5,6,7,12,13],[3,4,6,8,10,12,14],[3,4,7,8,9,11,13],[3,5,6,8,10,11,13],[3,5,7,8,9,12,14],[4,5,6,7,10,11,14]]; G[3553]:=Group([(4,5)(11,14)(12,13)]); # Design 3554: autom. group order 2, simple, residual B[3554]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,12],[1,2,6,7,8,13,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,12,13],[1,5,6,8,9,10,14],[1,5,7,9,10,11,14],[2,3,6,9,10,11,13],[2,3,7,9,10,12,14],[2,4,5,8,9,11,13],[2,4,6,9,12,13,14],[2,4,7,8,10,11,14],[2,5,6,9,11,12,14],[2,5,7,8,10,12,13],[3,4,5,6,7,12,14],[3,4,6,8,10,11,14],[3,4,7,8,9,13,14],[3,5,6,8,10,12,13],[3,5,7,8,9,11,12],[4,5,6,7,10,11,13]]; G[3554]:=Group([(4,5)(11,13)(12,14)]); # Design 3555: autom. group order 2, simple, residual B[3555]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,14],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,13],[1,4,7,9,10,12,14],[1,5,6,8,9,10,12],[1,5,7,9,10,11,13],[2,3,6,9,10,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,14],[2,4,6,9,12,13,14],[2,4,7,8,10,11,12],[2,5,6,9,11,12,13],[2,5,7,8,10,13,14],[3,4,5,6,7,12,13],[3,4,6,8,10,11,13],[3,4,7,8,9,13,14],[3,5,6,8,10,12,14],[3,5,7,8,9,11,12],[4,5,6,7,10,11,14]]; G[3555]:=Group([(4,5)(11,14)(12,13)]); # Design 3556: autom. group order 2, simple, residual B[3556]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,14],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,13],[1,4,7,9,10,12,14],[1,5,6,8,9,10,12],[1,5,7,9,10,11,13],[2,3,6,9,10,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,14],[2,4,6,9,12,13,14],[2,4,7,8,10,11,13],[2,5,6,9,11,12,13],[2,5,7,8,10,12,14],[3,4,5,6,7,12,13],[3,4,6,8,10,11,12],[3,4,7,8,9,13,14],[3,5,6,8,10,13,14],[3,5,7,8,9,11,12],[4,5,6,7,10,11,14]]; G[3556]:=Group([(4,5)(11,14)(12,13)]); # Design 3557: autom. group order 2, simple, residual B[3557]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,14],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,13],[1,4,7,9,10,13,14],[1,5,6,8,9,10,12],[1,5,7,9,10,11,12],[2,3,6,9,10,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,14],[2,4,6,9,12,13,14],[2,4,7,8,10,11,12],[2,5,6,9,11,12,13],[2,5,7,8,10,13,14],[3,4,5,6,7,12,13],[3,4,6,8,10,11,13],[3,4,7,8,9,12,14],[3,5,6,8,10,12,14],[3,5,7,8,9,11,13],[4,5,6,7,10,11,14]]; G[3557]:=Group([(4,5)(11,14)(12,13)]); # Design 3558: autom. group order 2, simple, residual B[3558]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,14],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,13],[1,4,7,9,10,13,14],[1,5,6,8,9,10,12],[1,5,7,9,10,11,12],[2,3,6,9,10,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,14],[2,4,6,9,12,13,14],[2,4,7,8,10,11,13],[2,5,6,9,11,12,13],[2,5,7,8,10,12,14],[3,4,5,6,7,12,13],[3,4,6,8,10,11,12],[3,4,7,8,9,12,14],[3,5,6,8,10,13,14],[3,5,7,8,9,11,13],[4,5,6,7,10,11,14]]; G[3558]:=Group([(4,5)(11,14)(12,13)]); # Design 3559: autom. group order 2, simple, residual B[3559]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,12],[1,2,6,7,8,13,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,12,13],[1,5,6,8,9,10,14],[1,5,7,9,10,11,14],[2,3,6,9,10,11,13],[2,3,7,9,10,12,14],[2,4,5,8,9,11,13],[2,4,6,9,12,13,14],[2,4,7,8,10,11,14],[2,5,6,9,11,12,14],[2,5,7,8,10,12,13],[3,4,5,6,7,12,14],[3,4,6,8,10,13,14],[3,4,7,8,9,11,14],[3,5,6,8,10,11,12],[3,5,7,8,9,12,13],[4,5,6,7,10,11,13]]; G[3559]:=Group([(4,5)(11,13)(12,14)]); # Design 3560: autom. group order 2, simple, residual B[3560]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,14],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,13],[1,4,7,9,10,12,14],[1,5,6,8,9,10,12],[1,5,7,9,10,11,13],[2,3,6,9,10,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,14],[2,4,6,9,12,13,14],[2,4,7,8,10,11,12],[2,5,6,9,11,12,13],[2,5,7,8,10,13,14],[3,4,5,6,7,12,13],[3,4,6,8,10,13,14],[3,4,7,8,9,11,13],[3,5,6,8,10,11,12],[3,5,7,8,9,12,14],[4,5,6,7,10,11,14]]; G[3560]:=Group([(4,5)(11,14)(12,13)]); # Design 3561: autom. group order 2, simple, residual B[3561]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,14],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,13],[1,4,7,9,10,12,14],[1,5,6,8,9,10,12],[1,5,7,9,10,11,13],[2,3,6,9,10,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,14],[2,4,6,9,12,13,14],[2,4,7,8,10,11,13],[2,5,6,9,11,12,13],[2,5,7,8,10,12,14],[3,4,5,6,7,12,13],[3,4,6,8,10,13,14],[3,4,7,8,9,11,12],[3,5,6,8,10,11,12],[3,5,7,8,9,13,14],[4,5,6,7,10,11,14]]; G[3561]:=Group([(4,5)(11,14)(12,13)]); # Design 3562: autom. group order 2, simple, residual B[3562]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,14],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,13],[1,4,7,9,10,13,14],[1,5,6,8,9,10,12],[1,5,7,9,10,11,12],[2,3,6,9,10,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,14],[2,4,6,9,12,13,14],[2,4,7,8,10,11,12],[2,5,6,9,11,12,13],[2,5,7,8,10,13,14],[3,4,5,6,7,12,13],[3,4,6,8,10,12,14],[3,4,7,8,9,11,13],[3,5,6,8,10,11,13],[3,5,7,8,9,12,14],[4,5,6,7,10,11,14]]; G[3562]:=Group([(4,5)(11,14)(12,13)]); # Design 3563: autom. group order 2, simple, residual B[3563]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,14],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,13],[1,4,7,9,10,13,14],[1,5,6,8,9,10,12],[1,5,7,9,10,11,12],[2,3,6,9,10,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,14],[2,4,6,9,12,13,14],[2,4,7,8,10,11,13],[2,5,6,9,11,12,13],[2,5,7,8,10,12,14],[3,4,5,6,7,12,13],[3,4,6,8,10,12,14],[3,4,7,8,9,11,12],[3,5,6,8,10,11,13],[3,5,7,8,9,13,14],[4,5,6,7,10,11,14]]; G[3563]:=Group([(4,5)(11,14)(12,13)]); # Design 3564: autom. group order 2, simple, residual B[3564]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,12],[1,2,6,7,8,13,14],[1,3,6,7,9,11,13],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,12,13],[1,5,6,8,9,10,14],[1,5,7,9,10,11,14],[2,3,6,9,10,11,13],[2,3,7,9,10,12,14],[2,4,5,8,9,11,13],[2,4,6,9,12,13,14],[2,4,7,8,10,13,14],[2,5,6,9,11,12,14],[2,5,7,8,10,11,12],[3,4,5,6,7,12,14],[3,4,6,8,10,11,14],[3,4,7,8,9,11,14],[3,5,6,8,10,12,13],[3,5,7,8,9,12,13],[4,5,6,7,10,11,13]]; G[3564]:=Group([(4,5)(11,13)(12,14)]); # Design 3565: autom. group order 2, simple, residual B[3565]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,14],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,13],[1,4,7,9,10,12,14],[1,5,6,8,9,10,12],[1,5,7,9,10,11,13],[2,3,6,9,10,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,14],[2,4,6,9,12,13,14],[2,4,7,8,10,13,14],[2,5,6,9,11,12,13],[2,5,7,8,10,11,12],[3,4,5,6,7,12,13],[3,4,6,8,10,11,12],[3,4,7,8,9,11,13],[3,5,6,8,10,13,14],[3,5,7,8,9,12,14],[4,5,6,7,10,11,14]]; G[3565]:=Group([(4,5)(11,14)(12,13)]); # Design 3566: autom. group order 2, simple, residual B[3566]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,14],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,13],[1,4,7,9,10,12,14],[1,5,6,8,9,10,12],[1,5,7,9,10,11,13],[2,3,6,9,10,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,14],[2,4,6,9,12,13,14],[2,4,7,8,10,13,14],[2,5,6,9,11,12,13],[2,5,7,8,10,11,12],[3,4,5,6,7,12,13],[3,4,6,8,10,11,13],[3,4,7,8,9,11,12],[3,5,6,8,10,12,14],[3,5,7,8,9,13,14],[4,5,6,7,10,11,14]]; G[3566]:=Group([(4,5)(11,14)(12,13)]); # Design 3567: autom. group order 2, simple, residual B[3567]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,14],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,13],[1,4,7,9,10,13,14],[1,5,6,8,9,10,12],[1,5,7,9,10,11,12],[2,3,6,9,10,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,14],[2,4,6,9,12,13,14],[2,4,7,8,10,12,14],[2,5,6,9,11,12,13],[2,5,7,8,10,11,13],[3,4,5,6,7,12,13],[3,4,6,8,10,11,12],[3,4,7,8,9,11,13],[3,5,6,8,10,13,14],[3,5,7,8,9,12,14],[4,5,6,7,10,11,14]]; G[3567]:=Group([(4,5)(11,14)(12,13)]); # Design 3568: autom. group order 2, simple, residual B[3568]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,11,14],[1,3,8,11,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,13],[1,4,7,9,10,13,14],[1,5,6,8,9,10,12],[1,5,7,9,10,11,12],[2,3,6,9,10,11,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,14],[2,4,6,9,12,13,14],[2,4,7,8,10,12,14],[2,5,6,9,11,12,13],[2,5,7,8,10,11,13],[3,4,5,6,7,12,13],[3,4,6,8,10,11,13],[3,4,7,8,9,11,12],[3,5,6,8,10,12,14],[3,5,7,8,9,13,14],[4,5,6,7,10,11,14]]; G[3568]:=Group([(4,5)(11,14)(12,13)]); # Design 3569: autom. group order 2, simple, residual B[3569]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,9,13],[1,2,6,7,11,12,13],[1,3,6,8,10,11,14],[1,3,7,9,12,13,14],[1,4,5,8,12,13,14],[1,4,6,9,10,11,14],[1,4,7,9,10,11,13],[1,5,6,8,9,10,12],[1,5,7,8,11,12,14],[2,3,6,8,11,13,14],[2,3,7,9,10,12,14],[2,4,5,9,11,13,14],[2,4,6,8,10,12,13],[2,4,7,8,10,12,14],[2,5,6,9,11,12,14],[2,5,7,8,9,10,11],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,7,10,13,14]]; G[3569]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 3570: autom. group order 2, simple, residual B[3570]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,10,12,14],[1,3,7,9,10,11,14],[1,4,5,8,9,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,12,13],[1,5,6,9,11,12,14],[1,5,7,8,11,12,14],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,5,11,12,13,14],[2,4,6,8,10,12,14],[2,4,7,9,10,11,14],[2,5,6,8,9,10,11],[2,5,7,8,9,10,12],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,8,10,11,13],[3,5,7,9,10,12,13],[4,5,6,7,10,13,14]]; G[3570]:=Group([(6,7)(8,9)(11,12)]); # Design 3571: autom. group order 2, simple, residual B[3571]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,9,13],[1,2,6,7,11,12,13],[1,3,6,8,10,11,14],[1,3,7,9,11,13,14],[1,4,5,8,12,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,12,13],[1,5,6,9,11,12,14],[1,5,7,8,9,10,11],[2,3,6,8,12,13,14],[2,3,7,9,10,12,14],[2,4,5,9,11,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,11,14],[2,5,6,8,9,10,12],[2,5,7,8,11,12,14],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,8,10,11,13],[3,5,7,9,10,12,13],[4,5,6,7,10,13,14]]; G[3571]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 3572: autom. group order 2, simple, residual B[3572]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,10,12,14],[1,3,7,9,10,11,14],[1,4,5,8,9,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,12,13],[1,5,6,9,11,12,14],[1,5,7,8,11,12,14],[2,3,6,8,11,13,14],[2,3,7,9,12,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,11,14],[2,5,6,8,9,10,11],[2,5,7,8,9,10,12],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,6,7,10,13,14]]; G[3572]:=Group([(6,7)(8,9)(11,12)]); # Design 3573: autom. group order 2, simple, residual B[3573]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,10,12,14],[1,3,7,9,10,11,14],[1,4,5,8,9,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,12,13],[1,5,6,9,11,12,14],[1,5,7,8,11,12,14],[2,3,6,8,12,13,14],[2,3,7,9,11,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,11,14],[2,5,6,8,9,10,11],[2,5,7,8,9,10,12],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,8,10,11,13],[3,5,7,9,10,12,13],[4,5,6,7,10,13,14]]; G[3573]:=Group([(6,7)(8,9)(11,12)]); # Design 3574: autom. group order 2, simple, residual B[3574]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,10,12,14],[1,3,7,9,10,11,14],[1,4,5,8,9,13,14],[1,4,6,9,10,12,13],[1,4,7,8,10,11,13],[1,5,6,9,11,12,14],[1,5,7,8,11,12,14],[2,3,6,8,12,13,14],[2,3,7,9,11,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,14],[2,5,6,8,9,10,11],[2,5,7,8,9,10,12],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,8,10,11,13],[3,5,7,9,10,12,13],[4,5,6,7,10,13,14]]; G[3574]:=Group([(6,7)(8,9)(11,12)]); # Design 3575: autom. group order 2, simple, residual B[3575]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,10,12,14],[1,3,7,9,10,11,14],[1,4,5,8,9,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,12,13],[1,5,6,9,11,12,14],[1,5,7,8,11,12,14],[2,3,6,8,11,13,14],[2,3,7,9,12,13,14],[2,4,5,11,12,13,14],[2,4,6,8,10,12,14],[2,4,7,9,10,11,14],[2,5,6,8,9,10,11],[2,5,7,8,9,10,12],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,7,10,13,14]]; G[3575]:=Group([(6,7)(8,9)(11,12)]); # Design 3576: autom. group order 2, simple, residual B[3576]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,10,12,14],[1,3,7,9,10,11,14],[1,4,5,8,9,13,14],[1,4,6,9,10,12,13],[1,4,7,8,10,11,13],[1,5,6,9,11,12,14],[1,5,7,8,11,12,14],[2,3,6,8,12,13,14],[2,3,7,9,11,13,14],[2,4,5,11,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,10,12,14],[2,5,6,8,9,10,11],[2,5,7,8,9,10,12],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,7,10,13,14]]; G[3576]:=Group([(6,7)(8,9)(11,12)]); # Design 3577: autom. group order 2, simple, residual B[3577]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,10,11,14],[1,3,7,9,10,12,14],[1,4,5,8,9,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,12,13],[1,5,6,8,11,12,14],[1,5,7,9,11,12,14],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,11,14],[2,5,6,8,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,6,7,10,13,14]]; G[3577]:=Group([(6,7)(8,9)(11,12)]); # Design 3578: autom. group order 2, simple, residual B[3578]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,10,11,14],[1,3,7,9,10,12,14],[1,4,5,8,9,13,14],[1,4,6,9,10,12,13],[1,4,7,8,10,11,13],[1,5,6,8,11,12,14],[1,5,7,9,11,12,14],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,14],[2,5,6,8,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,6,7,10,13,14]]; G[3578]:=Group([(6,7)(8,9)(11,12)]); # Design 3579: autom. group order 2, simple, residual B[3579]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,10,11,14],[1,3,7,9,10,12,14],[1,4,5,8,9,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,12,13],[1,5,6,8,11,12,14],[1,5,7,9,11,12,14],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,5,11,12,13,14],[2,4,6,8,10,12,14],[2,4,7,9,10,11,14],[2,5,6,8,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,7,10,13,14]]; G[3579]:=Group([(6,7)(8,9)(11,12)]); # Design 3580: autom. group order 2, simple, residual B[3580]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,11,13,14],[1,3,7,9,10,11,14],[1,4,5,8,12,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,12,13],[1,5,6,8,9,10,11],[1,5,7,9,11,12,14],[2,3,6,9,12,13,14],[2,3,7,8,10,12,14],[2,4,5,9,11,13,14],[2,4,6,8,10,11,14],[2,4,7,9,10,11,13],[2,5,6,8,9,10,12],[2,5,7,8,11,12,14],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,10,11,12,13],[3,5,7,8,9,10,13],[4,5,6,7,10,13,14]]; G[3580]:=Group([(1,2)(8,9)(11,12)]); # Design 3581: autom. group order 2, simple, residual B[3581]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,12,13,14],[1,3,7,9,10,12,14],[1,4,5,8,11,13,14],[1,4,6,9,10,11,14],[1,4,7,8,10,12,13],[1,5,6,8,9,10,11],[1,5,7,9,11,12,14],[2,3,6,9,11,13,14],[2,3,7,8,10,11,14],[2,4,5,9,12,13,14],[2,4,6,8,10,12,14],[2,4,7,9,10,11,13],[2,5,6,8,9,10,12],[2,5,7,8,11,12,14],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,10,11,12,13],[3,5,7,8,9,10,13],[4,5,6,7,10,13,14]]; G[3581]:=Group([(1,2)(8,9)(11,12)]); # Design 3582: autom. group order 2, simple, residual B[3582]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,9,13],[1,2,6,7,11,12,13],[1,3,6,8,10,11,14],[1,3,7,9,11,13,14],[1,4,5,8,11,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,12,13],[1,5,6,8,9,10,12],[1,5,7,9,11,12,14],[2,3,6,8,12,13,14],[2,3,7,9,10,12,14],[2,4,5,9,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,11,14],[2,5,6,8,11,12,14],[2,5,7,8,9,10,11],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,7,10,13,14]]; G[3582]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 3583: autom. group order 2, simple, residual B[3583]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,9,13],[1,2,6,7,11,12,13],[1,3,6,8,10,11,14],[1,3,7,9,11,13,14],[1,4,5,8,12,13,14],[1,4,6,9,10,12,13],[1,4,7,8,10,12,14],[1,5,6,8,9,10,11],[1,5,7,9,11,12,14],[2,3,6,8,12,13,14],[2,3,7,9,10,12,14],[2,4,5,9,11,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,11,13],[2,5,6,8,11,12,14],[2,5,7,8,9,10,12],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,7,10,13,14]]; G[3583]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 3584: autom. group order 2, simple, residual B[3584]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,9,13],[1,2,6,7,11,12,13],[1,3,6,8,10,11,14],[1,3,7,9,11,13,14],[1,4,5,8,12,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,12,13],[1,5,6,8,9,10,11],[1,5,7,9,11,12,14],[2,3,6,8,12,13,14],[2,3,7,9,10,12,14],[2,4,5,9,11,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,11,14],[2,5,6,8,11,12,14],[2,5,7,8,9,10,12],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,7,10,13,14]]; G[3584]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 3585: autom. group order 2, simple, residual B[3585]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,9,13],[1,2,6,7,11,12,13],[1,3,6,8,11,13,14],[1,3,7,9,10,11,14],[1,4,5,8,12,13,14],[1,4,6,9,10,12,13],[1,4,7,8,10,12,14],[1,5,6,8,9,10,11],[1,5,7,9,11,12,14],[2,3,6,8,10,12,14],[2,3,7,9,12,13,14],[2,4,5,9,11,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,11,13],[2,5,6,8,11,12,14],[2,5,7,8,9,10,12],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,7,10,13,14]]; G[3585]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 3586: autom. group order 2, simple, residual B[3586]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,9,13],[1,2,6,7,11,12,13],[1,3,6,8,11,13,14],[1,3,7,9,10,11,14],[1,4,5,8,12,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,12,13],[1,5,6,8,9,10,11],[1,5,7,9,11,12,14],[2,3,6,8,10,12,14],[2,3,7,9,12,13,14],[2,4,5,9,11,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,11,14],[2,5,6,8,11,12,14],[2,5,7,8,9,10,12],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,7,10,13,14]]; G[3586]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 3587: autom. group order 2, simple, residual B[3587]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,10,11,14],[1,3,7,9,10,12,14],[1,4,5,8,9,13,14],[1,4,6,9,10,12,13],[1,4,7,8,10,11,13],[1,5,6,8,11,12,14],[1,5,7,9,11,12,14],[2,3,6,8,12,13,14],[2,3,7,9,11,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,14],[2,5,6,8,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,7,10,13,14]]; G[3587]:=Group([(6,7)(8,9)(11,12)]); # Design 3588: autom. group order 2, simple, residual B[3588]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,10,12,14],[1,3,7,9,10,11,14],[1,4,5,8,9,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,12,13],[1,5,6,8,11,12,14],[1,5,7,9,11,12,14],[2,3,6,8,11,13,14],[2,3,7,9,12,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,11,14],[2,5,6,8,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,7,10,13,14]]; G[3588]:=Group([(6,7)(8,9)(11,12)]); # Design 3589: autom. group order 2, simple, residual B[3589]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,10,11,14],[1,3,7,9,10,12,14],[1,4,5,8,9,13,14],[1,4,6,8,10,12,13],[1,4,7,9,10,11,13],[1,5,6,9,11,12,14],[1,5,7,8,11,12,14],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,14],[2,5,6,8,9,10,11],[2,5,7,8,9,10,12],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,6,7,10,13,14]]; G[3589]:=Group([(6,7)(8,9)(11,12)]); # Design 3590: autom. group order 2, simple, residual B[3590]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,10,12,14],[1,3,7,9,10,11,14],[1,4,5,8,9,13,14],[1,4,6,8,10,11,13],[1,4,7,9,10,12,13],[1,5,6,9,11,12,14],[1,5,7,8,11,12,14],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,11,14],[2,5,6,8,9,10,11],[2,5,7,8,9,10,12],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,6,7,10,13,14]]; G[3590]:=Group([(6,7)(8,9)(11,12)]); # Design 3591: autom. group order 2, simple, residual B[3591]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,10,12,14],[1,3,7,9,10,11,14],[1,4,5,8,9,13,14],[1,4,6,8,10,12,13],[1,4,7,9,10,11,13],[1,5,6,9,11,12,14],[1,5,7,8,11,12,14],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,14],[2,5,6,8,9,10,11],[2,5,7,8,9,10,12],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,8,10,11,13],[3,5,7,9,10,12,13],[4,5,6,7,10,13,14]]; G[3591]:=Group([(6,7)(8,9)(11,12)]); # Design 3592: autom. group order 2, simple, residual B[3592]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,10,11,14],[1,3,7,9,11,13,14],[1,4,5,8,12,13,14],[1,4,6,8,10,12,13],[1,4,7,9,10,12,14],[1,5,6,9,11,12,14],[1,5,7,8,9,10,11],[2,3,6,9,10,12,14],[2,3,7,8,12,13,14],[2,4,5,9,11,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,11,14],[2,5,6,8,11,12,14],[2,5,7,8,9,10,12],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,8,9,10,13],[3,5,7,10,11,12,13],[4,5,6,7,10,13,14]]; G[3592]:=Group([(1,2)(8,9)(11,12)]); # Design 3593: autom. group order 2, simple, residual B[3593]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,10,11,14],[1,3,7,9,12,13,14],[1,4,5,8,12,13,14],[1,4,6,8,10,12,13],[1,4,7,9,10,11,14],[1,5,6,9,11,12,14],[1,5,7,8,9,10,11],[2,3,6,9,10,12,14],[2,3,7,8,11,13,14],[2,4,5,9,11,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,12,14],[2,5,6,8,11,12,14],[2,5,7,8,9,10,12],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,8,9,10,13],[3,5,7,10,11,12,13],[4,5,6,7,10,13,14]]; G[3593]:=Group([(1,2)(8,9)(11,12)]); # Design 3594: autom. group order 2, simple, residual B[3594]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,10,12,14],[1,3,7,9,11,13,14],[1,4,5,8,11,13,14],[1,4,6,8,10,12,13],[1,4,7,9,10,12,14],[1,5,6,9,11,12,14],[1,5,7,8,9,10,11],[2,3,6,9,10,11,14],[2,3,7,8,12,13,14],[2,4,5,9,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,11,14],[2,5,6,8,11,12,14],[2,5,7,8,9,10,12],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,8,9,10,13],[3,5,7,10,11,12,13],[4,5,6,7,10,13,14]]; G[3594]:=Group([(1,2)(8,9)(11,12)]); # Design 3595: autom. group order 2, simple, residual B[3595]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,10,12,14],[1,3,7,9,11,13,14],[1,4,5,8,12,13,14],[1,4,6,8,10,11,13],[1,4,7,9,10,12,14],[1,5,6,9,11,12,14],[1,5,7,8,9,10,11],[2,3,6,9,10,11,14],[2,3,7,8,12,13,14],[2,4,5,9,11,13,14],[2,4,6,9,10,12,13],[2,4,7,8,10,11,14],[2,5,6,8,11,12,14],[2,5,7,8,9,10,12],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,8,9,10,13],[3,5,7,10,11,12,13],[4,5,6,7,10,13,14]]; G[3595]:=Group([(1,2)(8,9)(11,12)]); # Design 3596: autom. group order 2, simple, residual B[3596]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,10,12,14],[1,3,7,9,12,13,14],[1,4,5,8,11,13,14],[1,4,6,8,10,12,13],[1,4,7,9,10,11,14],[1,5,6,9,11,12,14],[1,5,7,8,9,10,11],[2,3,6,9,10,11,14],[2,3,7,8,11,13,14],[2,4,5,9,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,12,14],[2,5,6,8,11,12,14],[2,5,7,8,9,10,12],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,8,9,10,13],[3,5,7,10,11,12,13],[4,5,6,7,10,13,14]]; G[3596]:=Group([(1,2)(8,9)(11,12)]); # Design 3597: autom. group order 2, simple, residual B[3597]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,10,12,14],[1,3,7,9,12,13,14],[1,4,5,8,12,13,14],[1,4,6,8,10,11,13],[1,4,7,9,10,11,14],[1,5,6,9,11,12,14],[1,5,7,8,9,10,11],[2,3,6,9,10,11,14],[2,3,7,8,11,13,14],[2,4,5,9,11,13,14],[2,4,6,9,10,12,13],[2,4,7,8,10,12,14],[2,5,6,8,11,12,14],[2,5,7,8,9,10,12],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,8,9,10,13],[3,5,7,10,11,12,13],[4,5,6,7,10,13,14]]; G[3597]:=Group([(1,2)(8,9)(11,12)]); # Design 3598: autom. group order 2, simple, residual B[3598]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,10,12,14],[1,3,7,9,10,11,14],[1,4,5,8,9,13,14],[1,4,6,8,10,11,13],[1,4,7,9,10,12,13],[1,5,6,9,11,12,14],[1,5,7,8,11,12,14],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,5,11,12,13,14],[2,4,6,8,10,12,14],[2,4,7,9,10,11,14],[2,5,6,8,9,10,11],[2,5,7,8,9,10,12],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,7,10,13,14]]; G[3598]:=Group([(6,7)(8,9)(11,12)]); # Design 3599: autom. group order 2, simple, residual B[3599]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,10,12,14],[1,3,7,9,10,11,14],[1,4,5,8,9,13,14],[1,4,6,8,10,11,13],[1,4,7,9,10,12,13],[1,5,6,9,11,12,14],[1,5,7,8,11,12,14],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,5,11,12,13,14],[2,4,6,8,10,12,14],[2,4,7,9,10,11,14],[2,5,6,8,9,10,11],[2,5,7,8,9,10,12],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,7,10,13,14]]; G[3599]:=Group([(6,7)(8,9)(11,12)]); # Design 3600: autom. group order 2, simple, residual B[3600]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,10,12,14],[1,3,7,9,10,11,14],[1,4,5,8,9,13,14],[1,4,6,8,10,12,13],[1,4,7,9,10,11,13],[1,5,6,9,11,12,14],[1,5,7,8,11,12,14],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,5,11,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,10,12,14],[2,5,6,8,9,10,11],[2,5,7,8,9,10,12],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,7,10,13,14]]; G[3600]:=Group([(6,7)(8,9)(11,12)]); # Design 3601: autom. group order 2, simple, residual B[3601]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,10,11,14],[1,3,7,9,10,12,14],[1,4,5,8,9,13,14],[1,4,6,8,10,12,13],[1,4,7,9,10,11,13],[1,5,6,9,11,12,14],[1,5,7,8,11,12,14],[2,3,6,8,12,13,14],[2,3,7,9,11,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,14],[2,5,6,8,9,10,11],[2,5,7,8,9,10,12],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,7,10,13,14]]; G[3601]:=Group([(6,7)(8,9)(11,12)]); # Design 3602: autom. group order 2, simple, residual B[3602]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,10,12,14],[1,3,7,9,10,11,14],[1,4,5,8,9,13,14],[1,4,6,8,10,11,13],[1,4,7,9,10,12,13],[1,5,6,9,11,12,14],[1,5,7,8,11,12,14],[2,3,6,8,12,13,14],[2,3,7,9,11,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,11,14],[2,5,6,8,9,10,11],[2,5,7,8,9,10,12],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,7,10,13,14]]; G[3602]:=Group([(6,7)(8,9)(11,12)]); # Design 3603: autom. group order 2, simple, residual B[3603]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,10,11,14],[1,3,7,9,10,12,14],[1,4,5,8,9,13,14],[1,4,6,8,10,12,13],[1,4,7,9,10,11,13],[1,5,6,8,11,12,14],[1,5,7,9,11,12,14],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,14],[2,5,6,8,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,7,10,13,14]]; G[3603]:=Group([(6,7)(8,9)(11,12)]); # Design 3604: autom. group order 2, simple, residual B[3604]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,10,11,14],[1,3,7,9,10,12,14],[1,4,5,8,9,13,14],[1,4,6,8,10,12,13],[1,4,7,9,10,11,13],[1,5,6,8,11,12,14],[1,5,7,9,11,12,14],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,14],[2,5,6,8,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,7,10,13,14]]; G[3604]:=Group([(6,7)(8,9)(11,12)]); # Design 3605: autom. group order 2, simple, residual B[3605]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,10,12,14],[1,3,7,9,10,11,14],[1,4,5,8,9,13,14],[1,4,6,8,10,11,13],[1,4,7,9,10,12,13],[1,5,6,8,11,12,14],[1,5,7,9,11,12,14],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,11,14],[2,5,6,8,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,7,10,13,14]]; G[3605]:=Group([(6,7)(8,9)(11,12)]); # Design 3606: autom. group order 2, simple, residual B[3606]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,11,13,14],[1,3,7,9,10,11,14],[1,4,5,8,12,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,12,13],[1,5,6,8,9,10,11],[1,5,7,9,11,12,14],[2,3,6,9,12,13,14],[2,3,7,8,10,12,14],[2,4,5,9,11,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,11,13],[2,5,6,8,9,10,12],[2,5,7,8,11,12,14],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,10,11,12,13],[3,5,7,8,9,10,13],[4,5,6,7,10,13,14]]; G[3606]:=Group([(1,2)(8,9)(11,12)]); # Design 3607: autom. group order 2, simple, residual B[3607]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,11,13,14],[1,3,7,9,10,12,14],[1,4,5,8,12,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,11,13],[1,5,6,8,9,10,11],[1,5,7,9,11,12,14],[2,3,6,9,12,13,14],[2,3,7,8,10,11,14],[2,4,5,9,11,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,8,9,10,12],[2,5,7,8,11,12,14],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,10,11,12,13],[3,5,7,8,9,10,13],[4,5,6,7,10,13,14]]; G[3607]:=Group([(1,2)(8,9)(11,12)]); # Design 3608: autom. group order 2, simple, residual B[3608]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,12,13,14],[1,3,7,9,10,11,14],[1,4,5,8,11,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,12,13],[1,5,6,8,9,10,11],[1,5,7,9,11,12,14],[2,3,6,9,11,13,14],[2,3,7,8,10,12,14],[2,4,5,9,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,11,13],[2,5,6,8,9,10,12],[2,5,7,8,11,12,14],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,10,11,12,13],[3,5,7,8,9,10,13],[4,5,6,7,10,13,14]]; G[3608]:=Group([(1,2)(8,9)(11,12)]); # Design 3609: autom. group order 2, simple, residual B[3609]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,12,13,14],[1,3,7,9,10,11,14],[1,4,5,8,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,12,13],[1,5,6,8,9,10,11],[1,5,7,9,11,12,14],[2,3,6,9,11,13,14],[2,3,7,8,10,12,14],[2,4,5,9,11,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,11,13],[2,5,6,8,9,10,12],[2,5,7,8,11,12,14],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,10,11,12,13],[3,5,7,8,9,10,13],[4,5,6,7,10,13,14]]; G[3609]:=Group([(1,2)(8,9)(11,12)]); # Design 3610: autom. group order 2, simple, residual B[3610]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,12,13,14],[1,3,7,9,10,12,14],[1,4,5,8,11,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,11,13],[1,5,6,8,9,10,11],[1,5,7,9,11,12,14],[2,3,6,9,11,13,14],[2,3,7,8,10,11,14],[2,4,5,9,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,8,9,10,12],[2,5,7,8,11,12,14],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,10,11,12,13],[3,5,7,8,9,10,13],[4,5,6,7,10,13,14]]; G[3610]:=Group([(1,2)(8,9)(11,12)]); # Design 3611: autom. group order 2, simple, residual B[3611]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,12,13,14],[1,3,7,9,10,12,14],[1,4,5,8,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,11,13],[1,5,6,8,9,10,11],[1,5,7,9,11,12,14],[2,3,6,9,11,13,14],[2,3,7,8,10,11,14],[2,4,5,9,11,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,12,13],[2,5,6,8,9,10,12],[2,5,7,8,11,12,14],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,10,11,12,13],[3,5,7,8,9,10,13],[4,5,6,7,10,13,14]]; G[3611]:=Group([(1,2)(8,9)(11,12)]); # Design 3612: autom. group order 2, simple, residual B[3612]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,10,11,14],[1,3,7,8,12,13,14],[1,4,5,9,11,13,14],[1,4,6,8,10,12,13],[1,4,7,9,10,12,14],[1,5,6,9,11,12,14],[1,5,7,8,9,10,11],[2,3,6,9,10,12,14],[2,3,7,9,11,13,14],[2,4,5,8,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,11,14],[2,5,6,8,11,12,14],[2,5,7,8,9,10,12],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,8,9,10,13],[3,5,7,10,11,12,13],[4,5,6,7,10,13,14]]; G[3612]:=Group([(1,2)(8,9)(11,12)]); # Design 3613: autom. group order 2, simple, residual B[3613]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,10,11,14],[1,3,7,8,12,13,14],[1,4,5,9,12,13,14],[1,4,6,8,10,12,13],[1,4,7,9,10,11,14],[1,5,6,9,11,12,14],[1,5,7,8,9,10,11],[2,3,6,9,10,12,14],[2,3,7,9,11,13,14],[2,4,5,8,11,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,12,14],[2,5,6,8,11,12,14],[2,5,7,8,9,10,12],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,8,9,10,13],[3,5,7,10,11,12,13],[4,5,6,7,10,13,14]]; G[3613]:=Group([(1,2)(8,9)(11,12)]); # Design 3614: autom. group order 2, simple, residual B[3614]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,10,12,14],[1,3,7,8,11,13,14],[1,4,5,9,11,13,14],[1,4,6,8,10,12,13],[1,4,7,9,10,12,14],[1,5,6,9,11,12,14],[1,5,7,8,9,10,11],[2,3,6,9,10,11,14],[2,3,7,9,12,13,14],[2,4,5,8,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,11,14],[2,5,6,8,11,12,14],[2,5,7,8,9,10,12],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,8,9,10,13],[3,5,7,10,11,12,13],[4,5,6,7,10,13,14]]; G[3614]:=Group([(1,2)(8,9)(11,12)]); # Design 3615: autom. group order 2, simple, residual B[3615]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,10,12,14],[1,3,7,8,11,13,14],[1,4,5,9,12,13,14],[1,4,6,8,10,12,13],[1,4,7,9,10,11,14],[1,5,6,9,11,12,14],[1,5,7,8,9,10,11],[2,3,6,9,10,11,14],[2,3,7,9,12,13,14],[2,4,5,8,11,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,12,14],[2,5,6,8,11,12,14],[2,5,7,8,9,10,12],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,8,9,10,13],[3,5,7,10,11,12,13],[4,5,6,7,10,13,14]]; G[3615]:=Group([(1,2)(8,9)(11,12)]); # Design 3616: autom. group order 2, simple, residual B[3616]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,10,12,14],[1,3,7,8,12,13,14],[1,4,5,9,11,13,14],[1,4,6,8,10,11,13],[1,4,7,9,10,12,14],[1,5,6,9,11,12,14],[1,5,7,8,9,10,11],[2,3,6,9,10,11,14],[2,3,7,9,11,13,14],[2,4,5,8,12,13,14],[2,4,6,9,10,12,13],[2,4,7,8,10,11,14],[2,5,6,8,11,12,14],[2,5,7,8,9,10,12],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,8,9,10,13],[3,5,7,10,11,12,13],[4,5,6,7,10,13,14]]; G[3616]:=Group([(1,2)(8,9)(11,12)]); # Design 3617: autom. group order 2, simple, residual B[3617]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,10,12,14],[1,3,7,8,12,13,14],[1,4,5,9,12,13,14],[1,4,6,8,10,11,13],[1,4,7,9,10,11,14],[1,5,6,9,11,12,14],[1,5,7,8,9,10,11],[2,3,6,9,10,11,14],[2,3,7,9,11,13,14],[2,4,5,8,11,13,14],[2,4,6,9,10,12,13],[2,4,7,8,10,12,14],[2,5,6,8,11,12,14],[2,5,7,8,9,10,12],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,8,9,10,13],[3,5,7,10,11,12,13],[4,5,6,7,10,13,14]]; G[3617]:=Group([(1,2)(8,9)(11,12)]); # Design 3618: autom. group order 2, simple, residual B[3618]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,9,13],[1,2,6,7,11,12,13],[1,3,6,8,10,11,14],[1,3,7,8,11,13,14],[1,4,5,9,12,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,11,13],[1,5,6,9,11,12,14],[1,5,7,8,9,10,12],[2,3,6,9,12,13,14],[2,3,7,9,10,12,14],[2,4,5,8,11,13,14],[2,4,6,8,10,12,13],[2,4,7,9,10,11,14],[2,5,6,8,9,10,11],[2,5,7,8,11,12,14],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,7,10,13,14]]; G[3618]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 3619: autom. group order 2, simple, residual B[3619]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,9,13],[1,2,6,7,11,12,13],[1,3,6,8,10,11,14],[1,3,7,8,12,13,14],[1,4,5,9,11,13,14],[1,4,6,8,10,12,13],[1,4,7,9,10,12,14],[1,5,6,9,11,12,14],[1,5,7,8,9,10,11],[2,3,6,9,11,13,14],[2,3,7,9,10,12,14],[2,4,5,8,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,10,11,13],[2,5,6,8,9,10,12],[2,5,7,8,11,12,14],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,7,10,13,14]]; G[3619]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 3620: autom. group order 2, simple, residual B[3620]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,9,13],[1,2,6,7,11,12,13],[1,3,6,8,10,11,14],[1,3,7,8,12,13,14],[1,4,5,9,11,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,12,13],[1,5,6,9,11,12,14],[1,5,7,8,9,10,11],[2,3,6,9,11,13,14],[2,3,7,9,10,12,14],[2,4,5,8,12,13,14],[2,4,6,8,10,11,13],[2,4,7,9,10,11,14],[2,5,6,8,9,10,12],[2,5,7,8,11,12,14],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,7,10,13,14]]; G[3620]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 3621: autom. group order 2, simple, residual B[3621]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,9,13],[1,2,6,7,11,12,13],[1,3,6,8,11,13,14],[1,3,7,8,10,12,14],[1,4,5,9,11,13,14],[1,4,6,8,10,12,13],[1,4,7,9,10,12,14],[1,5,6,9,11,12,14],[1,5,7,8,9,10,11],[2,3,6,9,10,11,14],[2,3,7,9,12,13,14],[2,4,5,8,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,10,11,13],[2,5,6,8,9,10,12],[2,5,7,8,11,12,14],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,7,10,13,14]]; G[3621]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 3622: autom. group order 2, simple, residual B[3622]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,9,13],[1,2,6,7,11,12,13],[1,3,6,8,11,13,14],[1,3,7,8,10,12,14],[1,4,5,9,11,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,12,13],[1,5,6,9,11,12,14],[1,5,7,8,9,10,11],[2,3,6,9,10,11,14],[2,3,7,9,12,13,14],[2,4,5,8,12,13,14],[2,4,6,8,10,11,13],[2,4,7,9,10,11,14],[2,5,6,8,9,10,12],[2,5,7,8,11,12,14],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,7,10,13,14]]; G[3622]:=Group([(1,2)(6,7)(8,9)(11,12)]); # Design 3623: autom. group order 2, simple, residual B[3623]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,9,11],[1,2,6,7,12,13,14],[1,3,6,8,9,12,13],[1,3,7,8,10,11,13],[1,4,5,9,11,12,13],[1,4,6,8,11,13,14],[1,4,7,9,10,12,14],[1,5,6,9,10,11,14],[1,5,7,8,10,12,14],[2,3,6,9,10,11,14],[2,3,7,8,9,12,14],[2,4,5,8,11,12,14],[2,4,6,8,10,12,13],[2,4,7,9,11,13,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,13],[3,4,5,6,7,13,14],[3,4,6,7,10,11,12],[3,4,8,9,10,13,14],[3,5,6,8,11,12,14],[3,5,7,9,11,12,13],[4,5,6,7,8,9,10]]; G[3623]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 3624: autom. group order 2, simple, residual B[3624]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,11,13,14],[1,3,7,8,10,12,14],[1,4,5,9,11,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,12,13],[1,5,6,8,9,10,11],[1,5,7,9,11,12,14],[2,3,6,9,12,13,14],[2,3,7,9,10,11,14],[2,4,5,8,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,11,13],[2,5,6,8,9,10,12],[2,5,7,8,11,12,14],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,10,11,12,13],[3,5,7,8,9,10,13],[4,5,6,7,10,13,14]]; G[3624]:=Group([(1,2)(8,9)(11,12)]); # Design 3625: autom. group order 2, simple, residual B[3625]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,11,13,14],[1,3,7,8,10,12,14],[1,4,5,9,12,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,11,13],[1,5,6,8,9,10,11],[1,5,7,9,11,12,14],[2,3,6,9,12,13,14],[2,3,7,9,10,11,14],[2,4,5,8,11,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,8,9,10,12],[2,5,7,8,11,12,14],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,10,11,12,13],[3,5,7,8,9,10,13],[4,5,6,7,10,13,14]]; G[3625]:=Group([(1,2)(8,9)(11,12)]); # Design 3626: autom. group order 2, simple, residual B[3626]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,12,13,14],[1,3,7,8,10,11,14],[1,4,5,9,11,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,12,13],[1,5,6,8,9,10,11],[1,5,7,9,11,12,14],[2,3,6,9,11,13,14],[2,3,7,9,10,12,14],[2,4,5,8,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,11,13],[2,5,6,8,9,10,12],[2,5,7,8,11,12,14],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,10,11,12,13],[3,5,7,8,9,10,13],[4,5,6,7,10,13,14]]; G[3626]:=Group([(1,2)(8,9)(11,12)]); # Design 3627: autom. group order 2, simple, residual B[3627]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,12,13,14],[1,3,7,8,10,11,14],[1,4,5,9,12,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,11,13],[1,5,6,8,9,10,11],[1,5,7,9,11,12,14],[2,3,6,9,11,13,14],[2,3,7,9,10,12,14],[2,4,5,8,11,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,8,9,10,12],[2,5,7,8,11,12,14],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,10,11,12,13],[3,5,7,8,9,10,13],[4,5,6,7,10,13,14]]; G[3627]:=Group([(1,2)(8,9)(11,12)]); # Design 3628: autom. group order 2, simple, residual B[3628]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,12,13,14],[1,3,7,8,10,12,14],[1,4,5,9,11,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,12,13],[1,5,6,8,9,10,11],[1,5,7,9,11,12,14],[2,3,6,9,11,13,14],[2,3,7,9,10,11,14],[2,4,5,8,12,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,11,13],[2,5,6,8,9,10,12],[2,5,7,8,11,12,14],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,10,11,12,13],[3,5,7,8,9,10,13],[4,5,6,7,10,13,14]]; G[3628]:=Group([(1,2)(8,9)(11,12)]); # Design 3629: autom. group order 2, simple, residual B[3629]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,12,13,14],[1,3,7,8,10,12,14],[1,4,5,9,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,11,13],[1,5,6,8,9,10,11],[1,5,7,9,11,12,14],[2,3,6,9,11,13,14],[2,3,7,9,10,11,14],[2,4,5,8,11,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,12,13],[2,5,6,8,9,10,12],[2,5,7,8,11,12,14],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,10,11,12,13],[3,5,7,8,9,10,13],[4,5,6,7,10,13,14]]; G[3629]:=Group([(1,2)(8,9)(11,12)]); # Design 3630: autom. group order 2, simple, residual B[3630]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,14],[1,3,6,7,9,12,14],[1,3,7,8,11,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,9,10],[1,4,8,9,10,13,14],[1,5,6,9,10,12,13],[1,5,7,8,10,11,14],[2,3,6,7,10,13,14],[2,3,8,9,10,11,12],[2,4,5,7,9,11,13],[2,4,6,8,10,12,13],[2,4,7,9,12,13,14],[2,5,6,8,9,11,14],[2,5,7,8,10,12,14],[3,4,5,6,8,12,14],[3,4,6,8,11,13,14],[3,4,7,9,10,11,14],[3,5,6,9,10,11,13],[3,5,7,8,9,12,13],[4,5,6,7,10,11,12]]; G[3630]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3631: autom. group order 2, simple, residual B[3631]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,13],[1,3,6,7,9,12,14],[1,3,7,8,11,12,14],[1,4,5,11,12,13,14],[1,4,6,7,8,9,10],[1,4,8,9,10,13,14],[1,5,6,9,10,12,13],[1,5,7,8,10,11,14],[2,3,6,7,10,13,14],[2,3,8,9,10,11,12],[2,4,5,7,9,12,14],[2,4,6,8,10,12,14],[2,4,7,9,11,13,14],[2,5,6,8,9,11,14],[2,5,7,8,10,12,13],[3,4,5,6,8,11,13],[3,4,6,8,12,13,14],[3,4,7,9,10,11,13],[3,5,6,9,10,11,14],[3,5,7,8,9,12,13],[4,5,6,7,10,11,12]]; G[3631]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3632: autom. group order 2, simple, residual B[3632]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,13],[1,3,6,7,9,12,14],[1,3,7,8,11,12,14],[1,4,5,11,12,13,14],[1,4,6,7,8,9,10],[1,4,8,9,10,13,14],[1,5,6,9,10,12,14],[1,5,7,8,10,11,13],[2,3,6,7,10,13,14],[2,3,8,9,10,11,12],[2,4,5,7,9,11,14],[2,4,6,8,12,13,14],[2,4,7,9,10,12,13],[2,5,6,8,9,11,14],[2,5,7,8,10,12,14],[3,4,5,6,8,12,13],[3,4,6,8,10,11,14],[3,4,7,9,11,13,14],[3,5,6,9,10,11,13],[3,5,7,8,9,12,13],[4,5,6,7,10,11,12]]; G[3632]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3633: autom. group order 2, simple, residual B[3633]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,13],[1,3,6,7,9,12,14],[1,3,7,8,11,12,14],[1,4,5,11,12,13,14],[1,4,6,7,8,9,10],[1,4,8,9,10,13,14],[1,5,6,9,10,12,14],[1,5,7,8,10,11,13],[2,3,6,7,10,13,14],[2,3,8,9,10,11,12],[2,4,5,7,9,12,13],[2,4,6,8,12,13,14],[2,4,7,9,10,11,14],[2,5,6,8,9,11,14],[2,5,7,8,10,12,14],[3,4,5,6,8,11,14],[3,4,6,8,10,12,13],[3,4,7,9,11,13,14],[3,5,6,9,10,11,13],[3,5,7,8,9,12,13],[4,5,6,7,10,11,12]]; G[3633]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3634: autom. group order 2, simple, residual B[3634]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,14],[1,3,6,7,9,12,14],[1,3,7,8,11,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,9,10],[1,4,8,9,10,13,14],[1,5,6,9,10,12,13],[1,5,7,8,10,11,14],[2,3,6,7,10,13,14],[2,3,8,9,10,11,12],[2,4,5,7,9,11,14],[2,4,6,8,10,12,14],[2,4,7,8,12,13,14],[2,5,6,8,9,11,13],[2,5,7,9,10,12,13],[3,4,5,6,8,12,13],[3,4,6,9,11,13,14],[3,4,7,9,10,11,13],[3,5,6,8,10,11,14],[3,5,7,8,9,12,14],[4,5,6,7,10,11,12]]; G[3634]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3635: autom. group order 2, simple, residual B[3635]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,14],[1,3,6,7,9,12,14],[1,3,7,8,11,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,9,10],[1,4,8,9,10,13,14],[1,5,6,9,10,12,13],[1,5,7,8,10,11,14],[2,3,6,7,10,13,14],[2,3,8,9,10,11,12],[2,4,5,7,9,12,13],[2,4,6,8,10,12,14],[2,4,7,8,12,13,14],[2,5,6,8,9,11,13],[2,5,7,9,10,11,14],[3,4,5,6,8,11,14],[3,4,6,9,11,13,14],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[3,5,7,8,9,12,14],[4,5,6,7,10,11,12]]; G[3635]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3636: autom. group order 2, simple, residual B[3636]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,13],[1,3,6,7,9,12,14],[1,3,7,8,11,12,14],[1,4,5,11,12,13,14],[1,4,6,7,8,9,10],[1,4,8,9,10,13,14],[1,5,6,9,10,12,14],[1,5,7,8,10,11,13],[2,3,6,7,10,13,14],[2,3,8,9,10,11,12],[2,4,5,7,9,11,14],[2,4,6,8,12,13,14],[2,4,7,8,10,12,14],[2,5,6,8,9,11,14],[2,5,7,9,10,12,13],[3,4,5,6,8,12,13],[3,4,6,9,10,11,13],[3,4,7,9,11,13,14],[3,5,6,8,10,11,14],[3,5,7,8,9,12,13],[4,5,6,7,10,11,12]]; G[3636]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3637: autom. group order 2, simple, residual B[3637]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,13],[1,3,6,7,9,12,14],[1,3,7,8,11,12,14],[1,4,5,11,12,13,14],[1,4,6,7,8,9,10],[1,4,8,9,10,13,14],[1,5,6,9,10,12,14],[1,5,7,8,10,11,13],[2,3,6,7,10,13,14],[2,3,8,9,10,11,12],[2,4,5,7,9,12,13],[2,4,6,8,12,13,14],[2,4,7,8,10,12,14],[2,5,6,8,9,11,14],[2,5,7,9,10,11,14],[3,4,5,6,8,11,14],[3,4,6,9,10,11,13],[3,4,7,9,11,13,14],[3,5,6,8,10,12,13],[3,5,7,8,9,12,13],[4,5,6,7,10,11,12]]; G[3637]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3638: autom. group order 2, simple, residual B[3638]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,13],[1,3,6,7,9,12,14],[1,3,7,8,11,12,14],[1,4,5,11,12,13,14],[1,4,6,7,8,9,10],[1,4,8,9,10,13,14],[1,5,6,9,10,12,13],[1,5,7,8,10,11,14],[2,3,6,7,10,13,14],[2,3,8,9,10,11,12],[2,4,5,7,8,12,13],[2,4,6,8,10,12,14],[2,4,7,9,11,13,14],[2,5,6,8,9,11,14],[2,5,7,9,10,12,14],[3,4,5,6,9,11,14],[3,4,6,8,12,13,14],[3,4,7,9,10,11,13],[3,5,6,8,10,11,13],[3,5,7,8,9,12,13],[4,5,6,7,10,11,12]]; G[3638]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3639: autom. group order 2, simple, residual B[3639]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,14],[1,3,6,7,9,12,14],[1,3,7,8,11,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,9,10],[1,4,8,9,10,13,14],[1,5,6,9,10,12,13],[1,5,7,8,10,11,14],[2,3,6,7,10,13,14],[2,3,8,9,10,11,12],[2,4,5,7,8,12,14],[2,4,6,8,10,12,13],[2,4,7,9,12,13,14],[2,5,6,8,9,11,14],[2,5,7,9,10,11,13],[3,4,5,6,9,11,13],[3,4,6,8,11,13,14],[3,4,7,9,10,11,14],[3,5,6,8,10,12,14],[3,5,7,8,9,12,13],[4,5,6,7,10,11,12]]; G[3639]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3640: autom. group order 2, simple, residual B[3640]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,13],[1,3,6,7,9,12,14],[1,3,7,8,11,12,14],[1,4,5,11,12,13,14],[1,4,6,7,8,9,10],[1,4,8,9,10,13,14],[1,5,6,9,10,12,14],[1,5,7,8,10,11,13],[2,3,6,7,10,13,14],[2,3,8,9,10,11,12],[2,4,5,7,8,12,14],[2,4,6,8,12,13,14],[2,4,7,9,10,11,14],[2,5,6,8,9,11,14],[2,5,7,9,10,12,13],[3,4,5,6,9,11,13],[3,4,6,8,10,12,13],[3,4,7,9,11,13,14],[3,5,6,8,10,11,14],[3,5,7,8,9,12,13],[4,5,6,7,10,11,12]]; G[3640]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3641: autom. group order 2, simple, residual B[3641]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,13],[1,3,6,7,9,12,14],[1,3,7,8,11,12,14],[1,4,5,11,12,13,14],[1,4,6,7,8,9,10],[1,4,8,9,10,13,14],[1,5,6,9,10,12,14],[1,5,7,8,10,11,13],[2,3,6,7,10,13,14],[2,3,8,9,10,11,12],[2,4,5,7,8,12,14],[2,4,6,8,12,13,14],[2,4,7,9,10,12,13],[2,5,6,8,9,11,14],[2,5,7,9,10,11,14],[3,4,5,6,9,11,13],[3,4,6,8,10,11,14],[3,4,7,9,11,13,14],[3,5,6,8,10,12,13],[3,5,7,8,9,12,13],[4,5,6,7,10,11,12]]; G[3641]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3642: autom. group order 2, simple, residual B[3642]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,14],[1,3,6,7,9,12,14],[1,3,7,8,11,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,9,10],[1,4,8,9,10,13,14],[1,5,6,8,10,12,13],[1,5,7,9,10,11,14],[2,3,6,7,10,13,14],[2,3,8,9,10,11,12],[2,4,5,7,9,11,13],[2,4,6,9,10,12,13],[2,4,7,8,12,13,14],[2,5,6,8,10,11,14],[2,5,7,8,9,12,14],[3,4,5,6,8,12,14],[3,4,6,9,11,13,14],[3,4,7,8,10,11,14],[3,5,6,8,9,11,13],[3,5,7,9,10,12,13],[4,5,6,7,10,11,12]]; G[3642]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3643: autom. group order 2, simple, residual B[3643]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,13],[1,3,6,7,9,12,14],[1,3,7,8,11,12,14],[1,4,5,11,12,13,14],[1,4,6,7,8,9,10],[1,4,8,9,10,13,14],[1,5,6,8,10,12,13],[1,5,7,9,10,11,14],[2,3,6,7,10,13,14],[2,3,8,9,10,11,12],[2,4,5,7,9,12,13],[2,4,6,9,10,11,14],[2,4,7,8,11,13,14],[2,5,6,8,10,12,14],[2,5,7,8,9,12,14],[3,4,5,6,8,11,14],[3,4,6,9,12,13,14],[3,4,7,8,10,12,13],[3,5,6,8,9,11,13],[3,5,7,9,10,11,13],[4,5,6,7,10,11,12]]; G[3643]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3644: autom. group order 2, simple, residual B[3644]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,13],[1,3,6,7,9,12,14],[1,3,7,8,11,12,14],[1,4,5,11,12,13,14],[1,4,6,7,8,9,10],[1,4,8,9,10,13,14],[1,5,6,8,10,12,14],[1,5,7,9,10,11,13],[2,3,6,7,10,13,14],[2,3,8,9,10,11,12],[2,4,5,7,9,11,14],[2,4,6,9,12,13,14],[2,4,7,8,10,12,13],[2,5,6,8,10,11,14],[2,5,7,8,9,12,14],[3,4,5,6,8,12,13],[3,4,6,9,10,11,14],[3,4,7,8,11,13,14],[3,5,6,8,9,11,13],[3,5,7,9,10,12,13],[4,5,6,7,10,11,12]]; G[3644]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3645: autom. group order 2, simple, residual B[3645]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,14],[1,3,6,7,9,12,14],[1,3,7,8,11,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,9,10],[1,4,8,9,10,13,14],[1,5,6,8,10,12,14],[1,5,7,9,10,11,13],[2,3,6,7,10,13,14],[2,3,8,9,10,11,12],[2,4,5,7,9,12,13],[2,4,6,9,11,13,14],[2,4,7,8,10,11,14],[2,5,6,8,10,12,13],[2,5,7,8,9,12,14],[3,4,5,6,8,11,14],[3,4,6,9,10,12,13],[3,4,7,8,12,13,14],[3,5,6,8,9,11,13],[3,5,7,9,10,11,14],[4,5,6,7,10,11,12]]; G[3645]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3646: autom. group order 2, simple, residual B[3646]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,14],[1,3,6,7,9,12,14],[1,3,7,8,11,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,9,10],[1,4,8,9,10,13,14],[1,5,6,8,10,12,13],[1,5,7,9,10,11,14],[2,3,6,7,10,13,14],[2,3,8,9,10,11,12],[2,4,5,7,9,11,13],[2,4,6,8,10,11,14],[2,4,7,8,12,13,14],[2,5,6,9,10,12,13],[2,5,7,8,9,12,14],[3,4,5,6,8,12,14],[3,4,6,9,11,13,14],[3,4,7,9,10,12,13],[3,5,6,8,9,11,13],[3,5,7,8,10,11,14],[4,5,6,7,10,11,12]]; G[3646]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3647: autom. group order 2, simple, residual B[3647]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,13],[1,3,6,7,9,12,14],[1,3,7,8,11,12,14],[1,4,5,11,12,13,14],[1,4,6,7,8,9,10],[1,4,8,9,10,13,14],[1,5,6,8,10,12,13],[1,5,7,9,10,11,14],[2,3,6,7,10,13,14],[2,3,8,9,10,11,12],[2,4,5,7,9,12,13],[2,4,6,8,10,12,14],[2,4,7,8,11,13,14],[2,5,6,9,10,11,14],[2,5,7,8,9,12,14],[3,4,5,6,8,11,14],[3,4,6,9,12,13,14],[3,4,7,9,10,11,13],[3,5,6,8,9,11,13],[3,5,7,8,10,12,13],[4,5,6,7,10,11,12]]; G[3647]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3648: autom. group order 2, simple, residual B[3648]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,14],[1,3,6,7,9,12,14],[1,3,7,8,11,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,9,10],[1,4,8,9,10,13,14],[1,5,6,8,10,12,14],[1,5,7,9,10,11,13],[2,3,6,7,10,13,14],[2,3,8,9,10,11,12],[2,4,5,7,9,11,14],[2,4,6,8,11,13,14],[2,4,7,8,10,12,14],[2,5,6,9,10,12,13],[2,5,7,8,9,12,13],[3,4,5,6,8,12,13],[3,4,6,9,10,11,13],[3,4,7,9,12,13,14],[3,5,6,8,9,11,14],[3,5,7,8,10,11,14],[4,5,6,7,10,11,12]]; G[3648]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3649: autom. group order 2, simple, residual B[3649]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,13],[1,3,6,7,9,12,14],[1,3,7,8,11,12,14],[1,4,5,11,12,13,14],[1,4,6,7,8,9,10],[1,4,8,9,10,13,14],[1,5,6,8,10,12,14],[1,5,7,9,10,11,13],[2,3,6,7,10,13,14],[2,3,8,9,10,11,12],[2,4,5,7,9,12,14],[2,4,6,8,12,13,14],[2,4,7,8,10,11,14],[2,5,6,9,10,11,14],[2,5,7,8,9,12,13],[3,4,5,6,8,11,13],[3,4,6,9,10,12,13],[3,4,7,9,11,13,14],[3,5,6,8,9,11,14],[3,5,7,8,10,12,13],[4,5,6,7,10,11,12]]; G[3649]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3650: autom. group order 2, simple, residual B[3650]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,14],[1,3,6,7,9,12,14],[1,3,7,8,11,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,9,10],[1,4,8,9,10,13,14],[1,5,6,8,10,12,13],[1,5,7,9,10,11,14],[2,3,6,7,10,13,14],[2,3,8,9,10,11,12],[2,4,5,7,8,11,14],[2,4,6,9,10,11,13],[2,4,7,9,12,13,14],[2,5,6,8,10,12,14],[2,5,7,8,9,12,13],[3,4,5,6,9,12,13],[3,4,6,8,11,13,14],[3,4,7,8,10,12,14],[3,5,6,8,9,11,14],[3,5,7,9,10,11,13],[4,5,6,7,10,11,12]]; G[3650]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3651: autom. group order 2, simple, residual B[3651]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,13],[1,3,6,7,9,12,14],[1,3,7,8,11,12,14],[1,4,5,11,12,13,14],[1,4,6,7,8,9,10],[1,4,8,9,10,13,14],[1,5,6,8,10,12,13],[1,5,7,9,10,11,14],[2,3,6,7,10,13,14],[2,3,8,9,10,11,12],[2,4,5,7,8,12,14],[2,4,6,9,10,12,14],[2,4,7,9,11,13,14],[2,5,6,8,10,11,14],[2,5,7,8,9,12,13],[3,4,5,6,9,11,13],[3,4,6,8,12,13,14],[3,4,7,8,10,11,13],[3,5,6,8,9,11,14],[3,5,7,9,10,12,13],[4,5,6,7,10,11,12]]; G[3651]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3652: autom. group order 2, simple, residual B[3652]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,14],[1,3,6,7,9,12,14],[1,3,7,8,11,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,9,10],[1,4,8,9,10,13,14],[1,5,6,8,10,12,14],[1,5,7,9,10,11,13],[2,3,6,7,10,13,14],[2,3,8,9,10,11,12],[2,4,5,7,8,11,14],[2,4,6,9,11,13,14],[2,4,7,9,10,12,13],[2,5,6,8,10,12,13],[2,5,7,8,9,12,14],[3,4,5,6,9,12,13],[3,4,6,8,10,11,14],[3,4,7,8,12,13,14],[3,5,6,8,9,11,13],[3,5,7,9,10,11,14],[4,5,6,7,10,11,12]]; G[3652]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3653: autom. group order 2, simple, residual B[3653]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,13],[1,3,6,7,9,12,14],[1,3,7,8,11,12,14],[1,4,5,11,12,13,14],[1,4,6,7,8,9,10],[1,4,8,9,10,13,14],[1,5,6,8,10,12,14],[1,5,7,9,10,11,13],[2,3,6,7,10,13,14],[2,3,8,9,10,11,12],[2,4,5,7,8,12,13],[2,4,6,9,12,13,14],[2,4,7,9,10,11,14],[2,5,6,8,10,11,14],[2,5,7,8,9,12,14],[3,4,5,6,9,11,14],[3,4,6,8,10,12,13],[3,4,7,8,11,13,14],[3,5,6,8,9,11,13],[3,5,7,9,10,12,13],[4,5,6,7,10,11,12]]; G[3653]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3654: autom. group order 2, simple, residual B[3654]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,14],[1,3,6,7,9,12,14],[1,3,7,8,11,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,9,10],[1,4,8,9,10,13,14],[1,5,6,8,10,12,13],[1,5,7,9,10,11,14],[2,3,6,7,10,13,14],[2,3,8,9,10,11,12],[2,4,5,7,8,11,14],[2,4,6,8,10,12,14],[2,4,7,9,12,13,14],[2,5,6,9,10,11,13],[2,5,7,8,9,12,13],[3,4,5,6,9,12,13],[3,4,6,8,11,13,14],[3,4,7,9,10,11,13],[3,5,6,8,9,11,14],[3,5,7,8,10,12,14],[4,5,6,7,10,11,12]]; G[3654]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3655: autom. group order 2, simple, residual B[3655]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,13],[1,3,6,7,9,12,14],[1,3,7,8,11,12,14],[1,4,5,11,12,13,14],[1,4,6,7,8,9,10],[1,4,8,9,10,13,14],[1,5,6,8,10,12,13],[1,5,7,9,10,11,14],[2,3,6,7,10,13,14],[2,3,8,9,10,11,12],[2,4,5,7,8,12,14],[2,4,6,8,10,11,14],[2,4,7,9,11,13,14],[2,5,6,9,10,12,14],[2,5,7,8,9,12,13],[3,4,5,6,9,11,13],[3,4,6,8,12,13,14],[3,4,7,9,10,12,13],[3,5,6,8,9,11,14],[3,5,7,8,10,11,13],[4,5,6,7,10,11,12]]; G[3655]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3656: autom. group order 2, simple, residual B[3656]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,13],[1,3,6,7,9,12,14],[1,3,7,8,11,12,14],[1,4,5,11,12,13,14],[1,4,6,7,8,9,10],[1,4,8,9,10,13,14],[1,5,6,8,10,12,14],[1,5,7,9,10,11,13],[2,3,6,7,10,13,14],[2,3,8,9,10,11,12],[2,4,5,7,8,11,14],[2,4,6,8,12,13,14],[2,4,7,9,10,12,14],[2,5,6,9,10,11,14],[2,5,7,8,9,12,13],[3,4,5,6,9,12,13],[3,4,6,8,10,11,13],[3,4,7,9,11,13,14],[3,5,6,8,9,11,14],[3,5,7,8,10,12,13],[4,5,6,7,10,11,12]]; G[3656]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3657: autom. group order 2, simple, residual B[3657]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,14],[1,3,6,7,9,12,14],[1,3,7,8,11,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,9,10],[1,4,8,9,10,13,14],[1,5,6,8,10,12,14],[1,5,7,9,10,11,13],[2,3,6,7,10,13,14],[2,3,8,9,10,11,12],[2,4,5,7,8,12,14],[2,4,6,8,11,13,14],[2,4,7,9,10,11,14],[2,5,6,9,10,12,13],[2,5,7,8,9,12,13],[3,4,5,6,9,11,13],[3,4,6,8,10,12,13],[3,4,7,9,12,13,14],[3,5,6,8,9,11,14],[3,5,7,8,10,11,14],[4,5,6,7,10,11,12]]; G[3657]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3658: autom. group order 2, simple, residual B[3658]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,8,12,14],[1,3,7,9,10,12,13],[1,4,5,8,9,11,12],[1,4,6,7,9,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,12,13],[1,5,7,8,10,11,14],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,11,13,14],[2,4,6,8,9,10,13],[2,4,7,8,10,12,13],[2,5,6,9,10,12,14],[2,5,7,8,9,12,14],[3,4,5,6,12,13,14],[3,4,6,8,10,11,14],[3,4,7,8,9,10,14],[3,5,6,8,9,11,13],[3,5,7,9,10,11,13],[4,5,6,7,10,11,12]]; G[3658]:=Group([(2,3)(6,7)(11,12)(13,14)]); # Design 3659: autom. group order 2, simple, residual B[3659]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,8,12,14],[1,3,7,9,10,12,13],[1,4,5,8,9,11,12],[1,4,6,7,9,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,12,13],[1,5,7,8,10,11,14],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,11,13,14],[2,4,6,8,9,10,13],[2,4,7,8,10,12,14],[2,5,6,9,10,12,14],[2,5,7,8,9,12,13],[3,4,5,6,12,13,14],[3,4,6,8,10,11,13],[3,4,7,8,9,10,14],[3,5,6,8,9,11,14],[3,5,7,9,10,11,13],[4,5,6,7,10,11,12]]; G[3659]:=Group([(2,3)(6,7)(11,12)(13,14)]); # Design 3660: autom. group order 2, simple, residual B[3660]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,13],[1,3,6,7,8,12,14],[1,3,7,9,10,12,14],[1,4,5,8,9,11,12],[1,4,6,7,9,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,12,13],[1,5,7,8,10,11,14],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,9,10,14],[2,4,7,8,10,11,14],[2,5,6,9,10,12,14],[2,5,7,8,9,12,13],[3,4,5,6,11,13,14],[3,4,6,8,10,12,13],[3,4,7,8,9,10,13],[3,5,6,8,9,11,14],[3,5,7,9,10,11,13],[4,5,6,7,10,11,12]]; G[3660]:=Group([(2,3)(6,7)(11,12)(13,14)]); # Design 3661: autom. group order 2, simple, residual B[3661]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,8,12,14],[1,3,7,9,10,12,13],[1,4,5,8,9,11,12],[1,4,6,7,9,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,12,13],[1,5,7,8,10,11,14],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,9,10,14],[2,4,7,8,10,11,13],[2,5,6,9,10,12,13],[2,5,7,8,9,12,14],[3,4,5,6,11,13,14],[3,4,6,8,10,12,14],[3,4,7,8,9,10,13],[3,5,6,8,9,11,13],[3,5,7,9,10,11,14],[4,5,6,7,10,11,12]]; G[3661]:=Group([(2,3)(6,7)(11,12)(13,14)]); # Design 3662: autom. group order 2, simple, residual B[3662]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,13],[1,3,6,7,8,12,14],[1,3,7,9,10,12,14],[1,4,5,8,9,11,12],[1,4,6,7,9,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,12,13],[1,5,7,8,10,11,14],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,9,10,14],[2,4,7,8,10,12,13],[2,5,6,9,10,12,14],[2,5,7,8,9,11,14],[3,4,5,6,11,13,14],[3,4,6,8,10,11,14],[3,4,7,8,9,10,13],[3,5,6,8,9,12,13],[3,5,7,9,10,11,13],[4,5,6,7,10,11,12]]; G[3662]:=Group([(2,3)(6,7)(11,12)(13,14)]); # Design 3663: autom. group order 2, simple, residual B[3663]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,8,12,14],[1,3,7,9,10,12,13],[1,4,5,8,9,11,12],[1,4,6,7,9,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,12,13],[1,5,7,8,10,11,14],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,9,10,14],[2,4,7,8,10,12,14],[2,5,6,9,10,12,13],[2,5,7,8,9,11,13],[3,4,5,6,11,13,14],[3,4,6,8,10,11,13],[3,4,7,8,9,10,13],[3,5,6,8,9,12,14],[3,5,7,9,10,11,14],[4,5,6,7,10,11,12]]; G[3663]:=Group([(2,3)(6,7)(11,12)(13,14)]); # Design 3664: autom. group order 2, simple, residual B[3664]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,8,12,14],[1,3,7,9,10,11,13],[1,4,5,8,9,11,12],[1,4,6,7,9,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,12,13],[1,5,7,8,10,11,14],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,11,13,14],[2,4,6,8,9,10,13],[2,4,7,8,10,12,13],[2,5,6,9,10,11,14],[2,5,7,8,9,12,14],[3,4,5,6,12,13,14],[3,4,6,8,10,11,14],[3,4,7,8,9,10,14],[3,5,6,8,9,11,13],[3,5,7,9,10,12,13],[4,5,6,7,10,11,12]]; G[3664]:=Group([(2,3)(6,7)(11,12)(13,14)]); # Design 3665: autom. group order 2, simple, residual B[3665]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,8,12,14],[1,3,7,9,10,11,13],[1,4,5,8,9,11,12],[1,4,6,7,9,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,12,13],[1,5,7,8,10,11,14],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,11,13,14],[2,4,6,8,9,10,13],[2,4,7,8,10,12,14],[2,5,6,9,10,11,14],[2,5,7,8,9,12,13],[3,4,5,6,12,13,14],[3,4,6,8,10,11,13],[3,4,7,8,9,10,14],[3,5,6,8,9,11,14],[3,5,7,9,10,12,13],[4,5,6,7,10,11,12]]; G[3665]:=Group([(2,3)(6,7)(11,12)(13,14)]); # Design 3666: autom. group order 2, simple, residual B[3666]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,8,12,14],[1,3,7,9,10,11,14],[1,4,5,8,9,11,12],[1,4,6,7,9,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,12,13],[1,5,7,8,10,11,14],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,9,10,14],[2,4,7,8,10,11,13],[2,5,6,9,10,11,14],[2,5,7,8,9,12,14],[3,4,5,6,11,13,14],[3,4,6,8,10,12,14],[3,4,7,8,9,10,13],[3,5,6,8,9,11,13],[3,5,7,9,10,12,13],[4,5,6,7,10,11,12]]; G[3666]:=Group([(2,3)(6,7)(11,12)(13,14)]); # Design 3667: autom. group order 2, simple, residual B[3667]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,8,12,14],[1,3,7,9,10,11,13],[1,4,5,8,9,11,12],[1,4,6,7,9,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,12,13],[1,5,7,8,10,11,14],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,9,10,14],[2,4,7,8,10,11,14],[2,5,6,9,10,11,13],[2,5,7,8,9,12,13],[3,4,5,6,11,13,14],[3,4,6,8,10,12,13],[3,4,7,8,9,10,13],[3,5,6,8,9,11,14],[3,5,7,9,10,12,14],[4,5,6,7,10,11,12]]; G[3667]:=Group([(2,3)(6,7)(11,12)(13,14)]); # Design 3668: autom. group order 2, simple, residual B[3668]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,8,12,14],[1,3,7,9,10,11,14],[1,4,5,8,9,11,12],[1,4,6,7,9,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,12,13],[1,5,7,8,10,11,14],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,9,10,14],[2,4,7,8,10,12,14],[2,5,6,9,10,11,14],[2,5,7,8,9,11,13],[3,4,5,6,11,13,14],[3,4,6,8,10,11,13],[3,4,7,8,9,10,13],[3,5,6,8,9,12,14],[3,5,7,9,10,12,13],[4,5,6,7,10,11,12]]; G[3668]:=Group([(2,3)(6,7)(11,12)(13,14)]); # Design 3669: autom. group order 2, simple, residual B[3669]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,8,12,14],[1,3,7,9,10,11,13],[1,4,5,8,9,11,12],[1,4,6,7,9,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,12,13],[1,5,7,8,10,11,14],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,9,10,14],[2,4,7,8,10,12,13],[2,5,6,9,10,11,13],[2,5,7,8,9,11,14],[3,4,5,6,11,13,14],[3,4,6,8,10,11,14],[3,4,7,8,9,10,13],[3,5,6,8,9,12,13],[3,5,7,9,10,12,14],[4,5,6,7,10,11,12]]; G[3669]:=Group([(2,3)(6,7)(11,12)(13,14)]); # Design 3670: autom. group order 2, simple, residual B[3670]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,8,12,14],[1,3,7,9,10,12,13],[1,4,5,8,9,11,12],[1,4,6,7,9,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,11,13],[1,5,7,8,10,12,14],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,11,13,14],[2,4,6,8,10,12,13],[2,4,7,8,9,10,14],[2,5,6,9,10,12,14],[2,5,7,8,9,12,13],[3,4,5,6,12,13,14],[3,4,6,8,9,10,13],[3,4,7,8,10,11,14],[3,5,6,8,9,11,14],[3,5,7,9,10,11,13],[4,5,6,7,10,11,12]]; G[3670]:=Group([(2,3)(6,7)(11,12)(13,14)]); # Design 3671: autom. group order 2, simple, residual B[3671]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,8,12,14],[1,3,7,9,10,12,13],[1,4,5,8,9,11,12],[1,4,6,7,9,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,11,13],[1,5,7,8,10,12,14],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,11,13,14],[2,4,6,8,10,12,14],[2,4,7,8,9,10,14],[2,5,6,9,10,12,13],[2,5,7,8,9,12,13],[3,4,5,6,12,13,14],[3,4,6,8,9,10,13],[3,4,7,8,10,11,13],[3,5,6,8,9,11,14],[3,5,7,9,10,11,14],[4,5,6,7,10,11,12]]; G[3671]:=Group([(2,3)(6,7)(11,12)(13,14)]); # Design 3672: autom. group order 2, simple, residual B[3672]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,8,12,14],[1,3,7,9,10,12,13],[1,4,5,8,9,11,12],[1,4,6,7,9,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,11,13],[1,5,7,8,10,12,14],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,10,12,13],[2,4,7,8,9,10,13],[2,5,6,9,10,12,14],[2,5,7,8,9,11,14],[3,4,5,6,11,13,14],[3,4,6,8,9,10,14],[3,4,7,8,10,11,14],[3,5,6,8,9,12,13],[3,5,7,9,10,11,13],[4,5,6,7,10,11,12]]; G[3672]:=Group([(2,3)(6,7)(11,12)(13,14)]); # Design 3673: autom. group order 2, simple, residual B[3673]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,8,12,14],[1,3,7,9,10,12,13],[1,4,5,8,9,11,12],[1,4,6,7,9,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,11,13],[1,5,7,8,10,12,14],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,10,12,14],[2,4,7,8,9,10,13],[2,5,6,9,10,12,13],[2,5,7,8,9,11,14],[3,4,5,6,11,13,14],[3,4,6,8,9,10,14],[3,4,7,8,10,11,13],[3,5,6,8,9,12,13],[3,5,7,9,10,11,14],[4,5,6,7,10,11,12]]; G[3673]:=Group([(2,3)(6,7)(11,12)(13,14)]); # Design 3674: autom. group order 2, simple, residual B[3674]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,8,12,14],[1,3,7,9,10,11,14],[1,4,5,8,9,11,12],[1,4,6,7,9,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,11,13],[1,5,7,8,10,12,14],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,11,13,14],[2,4,6,8,10,11,14],[2,4,7,8,9,10,14],[2,5,6,9,10,12,14],[2,5,7,8,9,12,13],[3,4,5,6,12,13,14],[3,4,6,8,9,10,13],[3,4,7,8,10,12,13],[3,5,6,8,9,11,14],[3,5,7,9,10,11,13],[4,5,6,7,10,11,12]]; G[3674]:=Group([(2,3)(6,7)(11,12)(13,14)]); # Design 3675: autom. group order 2, simple, residual B[3675]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,8,12,14],[1,3,7,9,10,11,13],[1,4,5,8,9,11,12],[1,4,6,7,9,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,11,13],[1,5,7,8,10,12,14],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,11,13,14],[2,4,6,8,10,11,14],[2,4,7,8,9,10,14],[2,5,6,9,10,12,13],[2,5,7,8,9,12,13],[3,4,5,6,12,13,14],[3,4,6,8,9,10,13],[3,4,7,8,10,12,13],[3,5,6,8,9,11,14],[3,5,7,9,10,11,14],[4,5,6,7,10,11,12]]; G[3675]:=Group([(2,3)(6,7)(11,12)(13,14)]); # Design 3676: autom. group order 2, simple, residual B[3676]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,8,12,14],[1,3,7,9,10,11,14],[1,4,5,8,9,11,12],[1,4,6,7,9,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,11,13],[1,5,7,8,10,12,14],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,11,13,14],[2,4,6,8,10,12,14],[2,4,7,8,9,10,14],[2,5,6,9,10,11,14],[2,5,7,8,9,12,13],[3,4,5,6,12,13,14],[3,4,6,8,9,10,13],[3,4,7,8,10,11,13],[3,5,6,8,9,11,14],[3,5,7,9,10,12,13],[4,5,6,7,10,11,12]]; G[3676]:=Group([(2,3)(6,7)(11,12)(13,14)]); # Design 3677: autom. group order 2, simple, residual B[3677]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,8,12,14],[1,3,7,9,10,11,13],[1,4,5,8,9,11,12],[1,4,6,7,9,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,11,13],[1,5,7,8,10,12,14],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,11,13,14],[2,4,6,8,10,12,13],[2,4,7,8,9,10,14],[2,5,6,9,10,11,14],[2,5,7,8,9,12,13],[3,4,5,6,12,13,14],[3,4,6,8,9,10,13],[3,4,7,8,10,11,14],[3,5,6,8,9,11,14],[3,5,7,9,10,12,13],[4,5,6,7,10,11,12]]; G[3677]:=Group([(2,3)(6,7)(11,12)(13,14)]); # Design 3678: autom. group order 2, simple, residual B[3678]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,8,12,14],[1,3,7,9,10,11,14],[1,4,5,8,9,11,12],[1,4,6,7,9,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,11,13],[1,5,7,8,10,12,14],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,10,11,14],[2,4,7,8,9,10,13],[2,5,6,9,10,12,14],[2,5,7,8,9,11,14],[3,4,5,6,11,13,14],[3,4,6,8,9,10,14],[3,4,7,8,10,12,13],[3,5,6,8,9,12,13],[3,5,7,9,10,11,13],[4,5,6,7,10,11,12]]; G[3678]:=Group([(2,3)(6,7)(11,12)(13,14)]); # Design 3679: autom. group order 2, simple, residual B[3679]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,8,12,14],[1,3,7,9,10,11,13],[1,4,5,8,9,11,12],[1,4,6,7,9,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,11,13],[1,5,7,8,10,12,14],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,10,11,14],[2,4,7,8,9,10,13],[2,5,6,9,10,12,13],[2,5,7,8,9,11,14],[3,4,5,6,11,13,14],[3,4,6,8,9,10,14],[3,4,7,8,10,12,13],[3,5,6,8,9,12,13],[3,5,7,9,10,11,14],[4,5,6,7,10,11,12]]; G[3679]:=Group([(2,3)(6,7)(11,12)(13,14)]); # Design 3680: autom. group order 2, simple, residual B[3680]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,8,12,14],[1,3,7,9,10,11,14],[1,4,5,8,9,11,12],[1,4,6,7,9,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,11,13],[1,5,7,8,10,12,14],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,10,12,14],[2,4,7,8,9,10,13],[2,5,6,9,10,11,14],[2,5,7,8,9,11,14],[3,4,5,6,11,13,14],[3,4,6,8,9,10,14],[3,4,7,8,10,11,13],[3,5,6,8,9,12,13],[3,5,7,9,10,12,13],[4,5,6,7,10,11,12]]; G[3680]:=Group([(2,3)(6,7)(11,12)(13,14)]); # Design 3681: autom. group order 2, simple, residual B[3681]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,8,12,14],[1,3,7,9,10,11,13],[1,4,5,8,9,11,12],[1,4,6,7,9,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,11,13],[1,5,7,8,10,12,14],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,10,12,13],[2,4,7,8,9,10,13],[2,5,6,9,10,11,14],[2,5,7,8,9,11,14],[3,4,5,6,11,13,14],[3,4,6,8,9,10,14],[3,4,7,8,10,11,14],[3,5,6,8,9,12,13],[3,5,7,9,10,12,13],[4,5,6,7,10,11,12]]; G[3681]:=Group([(2,3)(6,7)(11,12)(13,14)]); # Design 3682: autom. group order 2, simple, residual B[3682]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,8,12,14],[1,3,7,9,10,12,13],[1,4,5,8,9,11,12],[1,4,6,7,9,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,12,13],[1,5,7,8,10,11,14],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,11,13,14],[2,4,6,8,9,10,13],[2,4,7,8,10,12,13],[2,5,6,8,9,12,14],[2,5,7,9,10,12,14],[3,4,5,6,12,13,14],[3,4,6,8,10,11,14],[3,4,7,8,9,10,14],[3,5,6,9,10,11,13],[3,5,7,8,9,11,13],[4,5,6,7,10,11,12]]; G[3682]:=Group([(2,3)(6,7)(11,12)(13,14)]); # Design 3683: autom. group order 2, simple, residual B[3683]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,8,12,14],[1,3,7,9,10,12,13],[1,4,5,8,9,11,12],[1,4,6,7,9,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,12,13],[1,5,7,8,10,11,14],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,11,13,14],[2,4,6,8,9,10,13],[2,4,7,8,10,12,14],[2,5,6,8,9,12,14],[2,5,7,9,10,12,13],[3,4,5,6,12,13,14],[3,4,6,8,10,11,13],[3,4,7,8,9,10,14],[3,5,6,9,10,11,14],[3,5,7,8,9,11,13],[4,5,6,7,10,11,12]]; G[3683]:=Group([(2,3)(6,7)(11,12)(13,14)]); # Design 3684: autom. group order 2, simple, residual B[3684]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,13],[1,3,6,7,8,12,14],[1,3,7,9,10,12,14],[1,4,5,8,9,11,12],[1,4,6,7,9,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,12,13],[1,5,7,8,10,11,14],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,9,10,14],[2,4,7,8,10,11,14],[2,5,6,8,9,12,14],[2,5,7,9,10,12,13],[3,4,5,6,11,13,14],[3,4,6,8,10,12,13],[3,4,7,8,9,10,13],[3,5,6,9,10,11,14],[3,5,7,8,9,11,13],[4,5,6,7,10,11,12]]; G[3684]:=Group([(2,3)(6,7)(11,12)(13,14)]); # Design 3685: autom. group order 2, simple, residual B[3685]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,8,12,14],[1,3,7,9,10,12,13],[1,4,5,8,9,11,12],[1,4,6,7,9,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,12,13],[1,5,7,8,10,11,14],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,9,10,14],[2,4,7,8,10,11,13],[2,5,6,8,9,12,13],[2,5,7,9,10,12,14],[3,4,5,6,11,13,14],[3,4,6,8,10,12,14],[3,4,7,8,9,10,13],[3,5,6,9,10,11,13],[3,5,7,8,9,11,14],[4,5,6,7,10,11,12]]; G[3685]:=Group([(2,3)(6,7)(11,12)(13,14)]); # Design 3686: autom. group order 2, simple, residual B[3686]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,13],[1,3,6,7,8,12,14],[1,3,7,9,10,12,14],[1,4,5,8,9,11,12],[1,4,6,7,9,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,12,13],[1,5,7,8,10,11,14],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,9,10,14],[2,4,7,8,10,12,13],[2,5,6,8,9,12,14],[2,5,7,9,10,11,14],[3,4,5,6,11,13,14],[3,4,6,8,10,11,14],[3,4,7,8,9,10,13],[3,5,6,9,10,12,13],[3,5,7,8,9,11,13],[4,5,6,7,10,11,12]]; G[3686]:=Group([(2,3)(6,7)(11,12)(13,14)]); # Design 3687: autom. group order 2, simple, residual B[3687]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,8,12,14],[1,3,7,9,10,12,13],[1,4,5,8,9,11,12],[1,4,6,7,9,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,12,13],[1,5,7,8,10,11,14],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,9,10,14],[2,4,7,8,10,12,14],[2,5,6,8,9,12,13],[2,5,7,9,10,11,13],[3,4,5,6,11,13,14],[3,4,6,8,10,11,13],[3,4,7,8,9,10,13],[3,5,6,9,10,12,14],[3,5,7,8,9,11,14],[4,5,6,7,10,11,12]]; G[3687]:=Group([(2,3)(6,7)(11,12)(13,14)]); # Design 3688: autom. group order 2, simple, residual B[3688]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,8,12,14],[1,3,7,9,10,11,13],[1,4,5,8,9,11,12],[1,4,6,7,9,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,12,13],[1,5,7,8,10,11,14],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,11,13,14],[2,4,6,8,9,10,13],[2,4,7,8,10,12,13],[2,5,6,8,9,11,14],[2,5,7,9,10,12,14],[3,4,5,6,12,13,14],[3,4,6,8,10,11,14],[3,4,7,8,9,10,14],[3,5,6,9,10,11,13],[3,5,7,8,9,12,13],[4,5,6,7,10,11,12]]; G[3688]:=Group([(2,3)(6,7)(11,12)(13,14)]); # Design 3689: autom. group order 2, simple, residual B[3689]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,8,12,14],[1,3,7,9,10,11,13],[1,4,5,8,9,11,12],[1,4,6,7,9,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,12,13],[1,5,7,8,10,11,14],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,11,13,14],[2,4,6,8,9,10,13],[2,4,7,8,10,12,14],[2,5,6,8,9,11,14],[2,5,7,9,10,12,13],[3,4,5,6,12,13,14],[3,4,6,8,10,11,13],[3,4,7,8,9,10,14],[3,5,6,9,10,11,14],[3,5,7,8,9,12,13],[4,5,6,7,10,11,12]]; G[3689]:=Group([(2,3)(6,7)(11,12)(13,14)]); # Design 3690: autom. group order 2, simple, residual B[3690]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,8,12,14],[1,3,7,9,10,11,14],[1,4,5,8,9,11,12],[1,4,6,7,9,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,12,13],[1,5,7,8,10,11,14],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,9,10,14],[2,4,7,8,10,11,13],[2,5,6,8,9,11,14],[2,5,7,9,10,12,14],[3,4,5,6,11,13,14],[3,4,6,8,10,12,14],[3,4,7,8,9,10,13],[3,5,6,9,10,11,13],[3,5,7,8,9,12,13],[4,5,6,7,10,11,12]]; G[3690]:=Group([(2,3)(6,7)(11,12)(13,14)]); # Design 3691: autom. group order 2, simple, residual B[3691]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,8,12,14],[1,3,7,9,10,11,13],[1,4,5,8,9,11,12],[1,4,6,7,9,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,12,13],[1,5,7,8,10,11,14],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,9,10,14],[2,4,7,8,10,11,14],[2,5,6,8,9,11,13],[2,5,7,9,10,12,13],[3,4,5,6,11,13,14],[3,4,6,8,10,12,13],[3,4,7,8,9,10,13],[3,5,6,9,10,11,14],[3,5,7,8,9,12,14],[4,5,6,7,10,11,12]]; G[3691]:=Group([(2,3)(6,7)(11,12)(13,14)]); # Design 3692: autom. group order 2, simple, residual B[3692]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,8,12,14],[1,3,7,9,10,11,14],[1,4,5,8,9,11,12],[1,4,6,7,9,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,12,13],[1,5,7,8,10,11,14],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,9,10,14],[2,4,7,8,10,12,14],[2,5,6,8,9,11,14],[2,5,7,9,10,11,13],[3,4,5,6,11,13,14],[3,4,6,8,10,11,13],[3,4,7,8,9,10,13],[3,5,6,9,10,12,14],[3,5,7,8,9,12,13],[4,5,6,7,10,11,12]]; G[3692]:=Group([(2,3)(6,7)(11,12)(13,14)]); # Design 3693: autom. group order 2, simple, residual B[3693]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,8,12,14],[1,3,7,9,10,11,13],[1,4,5,8,9,11,12],[1,4,6,7,9,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,12,13],[1,5,7,8,10,11,14],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,9,10,14],[2,4,7,8,10,12,13],[2,5,6,8,9,11,13],[2,5,7,9,10,11,14],[3,4,5,6,11,13,14],[3,4,6,8,10,11,14],[3,4,7,8,9,10,13],[3,5,6,9,10,12,13],[3,5,7,8,9,12,14],[4,5,6,7,10,11,12]]; G[3693]:=Group([(2,3)(6,7)(11,12)(13,14)]); # Design 3694: autom. group order 2, simple, residual B[3694]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,8,12,14],[1,3,7,9,10,12,13],[1,4,5,8,9,11,12],[1,4,6,7,9,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,11,13],[1,5,7,8,10,12,14],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,11,13,14],[2,4,6,8,10,12,13],[2,4,7,8,9,10,14],[2,5,6,8,9,12,14],[2,5,7,9,10,12,13],[3,4,5,6,12,13,14],[3,4,6,8,9,10,13],[3,4,7,8,10,11,14],[3,5,6,9,10,11,14],[3,5,7,8,9,11,13],[4,5,6,7,10,11,12]]; G[3694]:=Group([(2,3)(6,7)(11,12)(13,14)]); # Design 3695: autom. group order 2, simple, residual B[3695]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,8,12,14],[1,3,7,9,10,12,13],[1,4,5,8,9,11,12],[1,4,6,7,9,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,11,13],[1,5,7,8,10,12,14],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,11,13,14],[2,4,6,8,10,12,14],[2,4,7,8,9,10,14],[2,5,6,8,9,12,13],[2,5,7,9,10,12,13],[3,4,5,6,12,13,14],[3,4,6,8,9,10,13],[3,4,7,8,10,11,13],[3,5,6,9,10,11,14],[3,5,7,8,9,11,14],[4,5,6,7,10,11,12]]; G[3695]:=Group([(2,3)(6,7)(11,12)(13,14)]); # Design 3696: autom. group order 2, simple, residual B[3696]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,8,12,14],[1,3,7,9,10,12,13],[1,4,5,8,9,11,12],[1,4,6,7,9,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,11,13],[1,5,7,8,10,12,14],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,10,12,13],[2,4,7,8,9,10,13],[2,5,6,8,9,12,14],[2,5,7,9,10,11,14],[3,4,5,6,11,13,14],[3,4,6,8,9,10,14],[3,4,7,8,10,11,14],[3,5,6,9,10,12,13],[3,5,7,8,9,11,13],[4,5,6,7,10,11,12]]; G[3696]:=Group([(2,3)(6,7)(11,12)(13,14)]); # Design 3697: autom. group order 2, simple, residual B[3697]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,8,12,14],[1,3,7,9,10,12,13],[1,4,5,8,9,11,12],[1,4,6,7,9,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,11,13],[1,5,7,8,10,12,14],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,10,12,14],[2,4,7,8,9,10,13],[2,5,6,8,9,12,13],[2,5,7,9,10,11,14],[3,4,5,6,11,13,14],[3,4,6,8,9,10,14],[3,4,7,8,10,11,13],[3,5,6,9,10,12,13],[3,5,7,8,9,11,14],[4,5,6,7,10,11,12]]; G[3697]:=Group([(2,3)(6,7)(11,12)(13,14)]); # Design 3698: autom. group order 2, simple, residual B[3698]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,8,12,14],[1,3,7,9,10,11,14],[1,4,5,8,9,11,12],[1,4,6,7,9,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,11,13],[1,5,7,8,10,12,14],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,11,13,14],[2,4,6,8,10,11,14],[2,4,7,8,9,10,14],[2,5,6,8,9,12,14],[2,5,7,9,10,12,13],[3,4,5,6,12,13,14],[3,4,6,8,9,10,13],[3,4,7,8,10,12,13],[3,5,6,9,10,11,14],[3,5,7,8,9,11,13],[4,5,6,7,10,11,12]]; G[3698]:=Group([(2,3)(6,7)(11,12)(13,14)]); # Design 3699: autom. group order 2, simple, residual B[3699]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,8,12,14],[1,3,7,9,10,11,13],[1,4,5,8,9,11,12],[1,4,6,7,9,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,11,13],[1,5,7,8,10,12,14],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,11,13,14],[2,4,6,8,10,11,14],[2,4,7,8,9,10,14],[2,5,6,8,9,12,13],[2,5,7,9,10,12,13],[3,4,5,6,12,13,14],[3,4,6,8,9,10,13],[3,4,7,8,10,12,13],[3,5,6,9,10,11,14],[3,5,7,8,9,11,14],[4,5,6,7,10,11,12]]; G[3699]:=Group([(2,3)(6,7)(11,12)(13,14)]); # Design 3700: autom. group order 2, simple, residual B[3700]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,8,12,14],[1,3,7,9,10,11,14],[1,4,5,8,9,11,12],[1,4,6,7,9,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,11,13],[1,5,7,8,10,12,14],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,11,13,14],[2,4,6,8,10,12,14],[2,4,7,8,9,10,14],[2,5,6,8,9,11,14],[2,5,7,9,10,12,13],[3,4,5,6,12,13,14],[3,4,6,8,9,10,13],[3,4,7,8,10,11,13],[3,5,6,9,10,11,14],[3,5,7,8,9,12,13],[4,5,6,7,10,11,12]]; G[3700]:=Group([(2,3)(6,7)(11,12)(13,14)]); # Design 3701: autom. group order 2, simple, residual B[3701]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,8,12,14],[1,3,7,9,10,11,13],[1,4,5,8,9,11,12],[1,4,6,7,9,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,11,13],[1,5,7,8,10,12,14],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,11,13,14],[2,4,6,8,10,12,13],[2,4,7,8,9,10,14],[2,5,6,8,9,11,14],[2,5,7,9,10,12,13],[3,4,5,6,12,13,14],[3,4,6,8,9,10,13],[3,4,7,8,10,11,14],[3,5,6,9,10,11,14],[3,5,7,8,9,12,13],[4,5,6,7,10,11,12]]; G[3701]:=Group([(2,3)(6,7)(11,12)(13,14)]); # Design 3702: autom. group order 2, simple, residual B[3702]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,8,12,14],[1,3,7,9,10,11,14],[1,4,5,8,9,11,12],[1,4,6,7,9,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,11,13],[1,5,7,8,10,12,14],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,10,11,14],[2,4,7,8,9,10,13],[2,5,6,8,9,12,14],[2,5,7,9,10,11,14],[3,4,5,6,11,13,14],[3,4,6,8,9,10,14],[3,4,7,8,10,12,13],[3,5,6,9,10,12,13],[3,5,7,8,9,11,13],[4,5,6,7,10,11,12]]; G[3702]:=Group([(2,3)(6,7)(11,12)(13,14)]); # Design 3703: autom. group order 2, simple, residual B[3703]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,8,12,14],[1,3,7,9,10,11,13],[1,4,5,8,9,11,12],[1,4,6,7,9,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,11,13],[1,5,7,8,10,12,14],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,10,11,14],[2,4,7,8,9,10,13],[2,5,6,8,9,12,13],[2,5,7,9,10,11,14],[3,4,5,6,11,13,14],[3,4,6,8,9,10,14],[3,4,7,8,10,12,13],[3,5,6,9,10,12,13],[3,5,7,8,9,11,14],[4,5,6,7,10,11,12]]; G[3703]:=Group([(2,3)(6,7)(11,12)(13,14)]); # Design 3704: autom. group order 2, simple, residual B[3704]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,8,12,14],[1,3,7,9,10,11,14],[1,4,5,8,9,11,12],[1,4,6,7,9,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,11,13],[1,5,7,8,10,12,14],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,10,12,14],[2,4,7,8,9,10,13],[2,5,6,8,9,11,14],[2,5,7,9,10,11,14],[3,4,5,6,11,13,14],[3,4,6,8,9,10,14],[3,4,7,8,10,11,13],[3,5,6,9,10,12,13],[3,5,7,8,9,12,13],[4,5,6,7,10,11,12]]; G[3704]:=Group([(2,3)(6,7)(11,12)(13,14)]); # Design 3705: autom. group order 2, simple, residual B[3705]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,8,12,14],[1,3,7,9,10,11,13],[1,4,5,8,9,11,12],[1,4,6,7,9,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,11,13],[1,5,7,8,10,12,14],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,10,12,13],[2,4,7,8,9,10,13],[2,5,6,8,9,11,14],[2,5,7,9,10,11,14],[3,4,5,6,11,13,14],[3,4,6,8,9,10,14],[3,4,7,8,10,11,14],[3,5,6,9,10,12,13],[3,5,7,8,9,12,13],[4,5,6,7,10,11,12]]; G[3705]:=Group([(2,3)(6,7)(11,12)(13,14)]); # Design 3706: autom. group order 2, simple, residual B[3706]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,8,11,14],[1,3,7,9,10,12,14],[1,4,5,8,9,13,14],[1,4,6,7,8,10,12],[1,4,8,10,11,13,14],[1,5,6,9,11,12,14],[1,5,7,9,11,12,13],[2,3,6,7,9,13,14],[2,3,8,11,12,13,14],[2,4,5,7,11,12,13],[2,4,6,9,10,11,14],[2,4,7,8,9,12,14],[2,5,6,8,9,10,11],[2,5,7,8,10,12,14],[3,4,5,6,11,12,14],[3,4,6,8,9,12,13],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[3,5,7,8,9,10,11],[4,5,6,7,10,13,14]]; G[3706]:=Group([(2,3)(6,7)(13,14)]); # Design 3707: autom. group order 2, simple, residual B[3707]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,8,11,14],[1,3,7,9,10,12,14],[1,4,5,8,9,13,14],[1,4,6,7,8,10,12],[1,4,8,10,11,13,14],[1,5,6,9,11,12,14],[1,5,7,9,11,12,13],[2,3,6,7,9,13,14],[2,3,8,11,12,13,14],[2,4,5,7,11,12,14],[2,4,6,9,10,11,14],[2,4,7,8,9,12,13],[2,5,6,8,9,10,11],[2,5,7,8,10,12,14],[3,4,5,6,11,12,13],[3,4,6,8,9,12,14],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[3,5,7,8,9,10,11],[4,5,6,7,10,13,14]]; G[3707]:=Group([(2,3)(6,7)(13,14)]); # Design 3708: autom. group order 2, simple, residual B[3708]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,8,11,14],[1,3,7,9,10,12,14],[1,4,5,8,9,13,14],[1,4,6,7,8,10,12],[1,4,8,10,11,13,14],[1,5,6,9,11,12,14],[1,5,7,9,11,12,13],[2,3,6,7,9,13,14],[2,3,8,11,12,13,14],[2,4,5,7,11,12,14],[2,4,6,9,10,11,14],[2,4,7,8,9,12,14],[2,5,6,8,9,10,11],[2,5,7,8,10,12,13],[3,4,5,6,11,12,13],[3,4,6,8,9,12,13],[3,4,7,9,10,11,13],[3,5,6,8,10,12,14],[3,5,7,8,9,10,11],[4,5,6,7,10,13,14]]; G[3708]:=Group([(2,3)(6,7)(13,14)]); # Design 3709: autom. group order 2, simple, residual B[3709]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,8,11,14],[1,3,7,9,10,12,13],[1,4,5,8,9,13,14],[1,4,6,7,8,10,12],[1,4,8,10,11,13,14],[1,5,6,9,11,12,14],[1,5,7,9,11,12,13],[2,3,6,7,9,13,14],[2,3,8,11,12,13,14],[2,4,5,7,11,12,13],[2,4,6,9,10,11,13],[2,4,7,8,9,12,14],[2,5,6,8,9,10,11],[2,5,7,8,10,12,14],[3,4,5,6,11,12,14],[3,4,6,8,9,12,13],[3,4,7,9,10,11,14],[3,5,6,8,10,12,13],[3,5,7,8,9,10,11],[4,5,6,7,10,13,14]]; G[3709]:=Group([(2,3)(6,7)(13,14)]); # Design 3710: autom. group order 2, simple, residual B[3710]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,8,11,14],[1,3,7,9,10,12,13],[1,4,5,8,9,13,14],[1,4,6,7,8,10,12],[1,4,8,10,11,13,14],[1,5,6,9,11,12,14],[1,5,7,9,11,12,13],[2,3,6,7,9,13,14],[2,3,8,11,12,13,14],[2,4,5,7,11,12,14],[2,4,6,9,10,11,13],[2,4,7,8,9,12,13],[2,5,6,8,9,10,11],[2,5,7,8,10,12,14],[3,4,5,6,11,12,13],[3,4,6,8,9,12,14],[3,4,7,9,10,11,14],[3,5,6,8,10,12,13],[3,5,7,8,9,10,11],[4,5,6,7,10,13,14]]; G[3710]:=Group([(2,3)(6,7)(13,14)]); # Design 3711: autom. group order 2, simple, residual B[3711]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,8,11,14],[1,3,7,9,10,12,13],[1,4,5,8,9,13,14],[1,4,6,7,8,10,12],[1,4,8,10,11,13,14],[1,5,6,9,11,12,14],[1,5,7,9,11,12,13],[2,3,6,7,9,13,14],[2,3,8,11,12,13,14],[2,4,5,7,11,12,14],[2,4,6,9,10,11,13],[2,4,7,8,9,12,14],[2,5,6,8,9,10,11],[2,5,7,8,10,12,13],[3,4,5,6,11,12,13],[3,4,6,8,9,12,13],[3,4,7,9,10,11,14],[3,5,6,8,10,12,14],[3,5,7,8,9,10,11],[4,5,6,7,10,13,14]]; G[3711]:=Group([(2,3)(6,7)(13,14)]); # Design 3712: autom. group order 2, simple, residual B[3712]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,8,11,14],[1,3,7,9,10,12,14],[1,4,5,8,9,13,14],[1,4,6,7,8,10,12],[1,4,8,10,11,13,14],[1,5,6,9,11,12,13],[1,5,7,9,11,12,14],[2,3,6,7,9,13,14],[2,3,8,11,12,13,14],[2,4,5,7,11,12,13],[2,4,6,9,10,11,14],[2,4,7,8,9,12,14],[2,5,6,8,10,12,14],[2,5,7,8,9,10,11],[3,4,5,6,11,12,14],[3,4,6,8,9,12,13],[3,4,7,9,10,11,13],[3,5,6,8,9,10,11],[3,5,7,8,10,12,13],[4,5,6,7,10,13,14]]; G[3712]:=Group([(2,3)(6,7)(13,14)]); # Design 3713: autom. group order 2, simple, residual B[3713]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,8,11,14],[1,3,7,9,10,12,14],[1,4,5,8,9,13,14],[1,4,6,7,8,10,12],[1,4,8,10,11,13,14],[1,5,6,9,11,12,13],[1,5,7,9,11,12,14],[2,3,6,7,9,13,14],[2,3,8,11,12,13,14],[2,4,5,7,11,12,14],[2,4,6,9,10,11,14],[2,4,7,8,9,12,13],[2,5,6,8,10,12,14],[2,5,7,8,9,10,11],[3,4,5,6,11,12,13],[3,4,6,8,9,12,14],[3,4,7,9,10,11,13],[3,5,6,8,9,10,11],[3,5,7,8,10,12,13],[4,5,6,7,10,13,14]]; G[3713]:=Group([(2,3)(6,7)(13,14)]); # Design 3714: autom. group order 2, simple, residual B[3714]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,8,11,14],[1,3,7,9,10,12,13],[1,4,5,8,9,13,14],[1,4,6,7,8,10,12],[1,4,8,10,11,13,14],[1,5,6,9,11,12,13],[1,5,7,9,11,12,14],[2,3,6,7,9,13,14],[2,3,8,11,12,13,14],[2,4,5,7,11,12,13],[2,4,6,9,10,11,13],[2,4,7,8,9,12,14],[2,5,6,8,10,12,14],[2,5,7,8,9,10,11],[3,4,5,6,11,12,14],[3,4,6,8,9,12,13],[3,4,7,9,10,11,14],[3,5,6,8,9,10,11],[3,5,7,8,10,12,13],[4,5,6,7,10,13,14]]; G[3714]:=Group([(2,3)(6,7)(13,14)]); # Design 3715: autom. group order 2, simple, residual B[3715]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,8,11,14],[1,3,7,9,10,12,13],[1,4,5,8,9,13,14],[1,4,6,7,8,10,12],[1,4,8,10,11,13,14],[1,5,6,9,11,12,13],[1,5,7,9,11,12,14],[2,3,6,7,9,13,14],[2,3,8,11,12,13,14],[2,4,5,7,11,12,13],[2,4,6,9,10,11,14],[2,4,7,8,9,12,14],[2,5,6,8,10,12,13],[2,5,7,8,9,10,11],[3,4,5,6,11,12,14],[3,4,6,8,9,12,13],[3,4,7,9,10,11,13],[3,5,6,8,9,10,11],[3,5,7,8,10,12,14],[4,5,6,7,10,13,14]]; G[3715]:=Group([(2,3)(6,7)(13,14)]); # Design 3716: autom. group order 2, simple, residual B[3716]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,8,11,14],[1,3,7,9,10,12,13],[1,4,5,8,9,13,14],[1,4,6,7,8,10,12],[1,4,8,10,11,13,14],[1,5,6,9,11,12,13],[1,5,7,9,11,12,14],[2,3,6,7,9,13,14],[2,3,8,11,12,13,14],[2,4,5,7,11,12,14],[2,4,6,9,10,11,13],[2,4,7,8,9,12,13],[2,5,6,8,10,12,14],[2,5,7,8,9,10,11],[3,4,5,6,11,12,13],[3,4,6,8,9,12,14],[3,4,7,9,10,11,14],[3,5,6,8,9,10,11],[3,5,7,8,10,12,13],[4,5,6,7,10,13,14]]; G[3716]:=Group([(2,3)(6,7)(13,14)]); # Design 3717: autom. group order 2, simple, residual B[3717]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,8,11,14],[1,3,7,9,10,12,13],[1,4,5,8,9,13,14],[1,4,6,7,8,10,12],[1,4,8,10,11,13,14],[1,5,6,9,11,12,13],[1,5,7,9,11,12,14],[2,3,6,7,9,13,14],[2,3,8,11,12,13,14],[2,4,5,7,11,12,14],[2,4,6,9,10,11,14],[2,4,7,8,9,12,13],[2,5,6,8,10,12,13],[2,5,7,8,9,10,11],[3,4,5,6,11,12,13],[3,4,6,8,9,12,14],[3,4,7,9,10,11,13],[3,5,6,8,9,10,11],[3,5,7,8,10,12,14],[4,5,6,7,10,13,14]]; G[3717]:=Group([(2,3)(6,7)(13,14)]); # Design 3718: autom. group order 2, simple, residual B[3718]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,8,11,14],[1,3,7,9,10,12,14],[1,4,5,8,9,13,14],[1,4,6,7,8,10,12],[1,4,8,10,11,13,14],[1,5,6,9,11,12,14],[1,5,7,9,11,12,13],[2,3,6,7,9,13,14],[2,3,8,11,12,13,14],[2,4,5,7,11,12,13],[2,4,6,8,9,12,14],[2,4,7,9,10,11,14],[2,5,6,8,9,10,11],[2,5,7,8,10,12,14],[3,4,5,6,11,12,14],[3,4,6,9,10,11,13],[3,4,7,8,9,12,13],[3,5,6,8,10,12,13],[3,5,7,8,9,10,11],[4,5,6,7,10,13,14]]; G[3718]:=Group([(2,3)(6,7)(13,14)]); # Design 3719: autom. group order 2, simple, residual B[3719]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,8,11,14],[1,3,7,9,10,12,14],[1,4,5,8,9,13,14],[1,4,6,7,8,10,12],[1,4,8,10,11,13,14],[1,5,6,9,11,12,14],[1,5,7,9,11,12,13],[2,3,6,7,9,13,14],[2,3,8,11,12,13,14],[2,4,5,7,11,12,14],[2,4,6,8,9,12,14],[2,4,7,9,10,11,13],[2,5,6,8,9,10,11],[2,5,7,8,10,12,14],[3,4,5,6,11,12,13],[3,4,6,9,10,11,14],[3,4,7,8,9,12,13],[3,5,6,8,10,12,13],[3,5,7,8,9,10,11],[4,5,6,7,10,13,14]]; G[3719]:=Group([(2,3)(6,7)(13,14)]); # Design 3720: autom. group order 2, simple, residual B[3720]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,8,11,14],[1,3,7,9,10,12,14],[1,4,5,8,9,13,14],[1,4,6,7,8,10,12],[1,4,8,10,11,13,14],[1,5,6,9,11,12,14],[1,5,7,9,11,12,13],[2,3,6,7,9,13,14],[2,3,8,11,12,13,14],[2,4,5,7,11,12,14],[2,4,6,8,9,12,14],[2,4,7,9,10,11,14],[2,5,6,8,9,10,11],[2,5,7,8,10,12,13],[3,4,5,6,11,12,13],[3,4,6,9,10,11,13],[3,4,7,8,9,12,13],[3,5,6,8,10,12,14],[3,5,7,8,9,10,11],[4,5,6,7,10,13,14]]; G[3720]:=Group([(2,3)(6,7)(13,14)]); # Design 3721: autom. group order 2, simple, residual B[3721]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,8,11,14],[1,3,7,9,10,12,13],[1,4,5,8,9,13,14],[1,4,6,7,8,10,12],[1,4,8,10,11,13,14],[1,5,6,9,11,12,14],[1,5,7,9,11,12,13],[2,3,6,7,9,13,14],[2,3,8,11,12,13,14],[2,4,5,7,11,12,13],[2,4,6,8,9,12,13],[2,4,7,9,10,11,14],[2,5,6,8,9,10,11],[2,5,7,8,10,12,14],[3,4,5,6,11,12,14],[3,4,6,9,10,11,13],[3,4,7,8,9,12,14],[3,5,6,8,10,12,13],[3,5,7,8,9,10,11],[4,5,6,7,10,13,14]]; G[3721]:=Group([(2,3)(6,7)(13,14)]); # Design 3722: autom. group order 2, simple, residual B[3722]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,8,11,14],[1,3,7,9,10,12,13],[1,4,5,8,9,13,14],[1,4,6,7,8,10,12],[1,4,8,10,11,13,14],[1,5,6,9,11,12,14],[1,5,7,9,11,12,13],[2,3,6,7,9,13,14],[2,3,8,11,12,13,14],[2,4,5,7,11,12,14],[2,4,6,8,9,12,13],[2,4,7,9,10,11,13],[2,5,6,8,9,10,11],[2,5,7,8,10,12,14],[3,4,5,6,11,12,13],[3,4,6,9,10,11,14],[3,4,7,8,9,12,14],[3,5,6,8,10,12,13],[3,5,7,8,9,10,11],[4,5,6,7,10,13,14]]; G[3722]:=Group([(2,3)(6,7)(13,14)]); # Design 3723: autom. group order 2, simple, residual B[3723]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,8,11,14],[1,3,7,9,10,12,13],[1,4,5,8,9,13,14],[1,4,6,7,8,10,12],[1,4,8,10,11,13,14],[1,5,6,9,11,12,14],[1,5,7,9,11,12,13],[2,3,6,7,9,13,14],[2,3,8,11,12,13,14],[2,4,5,7,11,12,14],[2,4,6,8,9,12,13],[2,4,7,9,10,11,14],[2,5,6,8,9,10,11],[2,5,7,8,10,12,13],[3,4,5,6,11,12,13],[3,4,6,9,10,11,13],[3,4,7,8,9,12,14],[3,5,6,8,10,12,14],[3,5,7,8,9,10,11],[4,5,6,7,10,13,14]]; G[3723]:=Group([(2,3)(6,7)(13,14)]); # Design 3724: autom. group order 2, simple, residual B[3724]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,8,11,14],[1,3,7,9,10,12,14],[1,4,5,8,9,13,14],[1,4,6,7,8,10,12],[1,4,8,10,11,13,14],[1,5,6,9,11,12,13],[1,5,7,9,11,12,14],[2,3,6,7,9,13,14],[2,3,8,11,12,13,14],[2,4,5,7,11,12,13],[2,4,6,8,9,12,14],[2,4,7,9,10,11,14],[2,5,6,8,10,12,14],[2,5,7,8,9,10,11],[3,4,5,6,11,12,14],[3,4,6,9,10,11,13],[3,4,7,8,9,12,13],[3,5,6,8,9,10,11],[3,5,7,8,10,12,13],[4,5,6,7,10,13,14]]; G[3724]:=Group([(2,3)(6,7)(13,14)]); # Design 3725: autom. group order 2, simple, residual B[3725]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,8,11,14],[1,3,7,9,10,12,14],[1,4,5,8,9,13,14],[1,4,6,7,8,10,12],[1,4,8,10,11,13,14],[1,5,6,9,11,12,13],[1,5,7,9,11,12,14],[2,3,6,7,9,13,14],[2,3,8,11,12,13,14],[2,4,5,7,11,12,14],[2,4,6,8,9,12,14],[2,4,7,9,10,11,13],[2,5,6,8,10,12,14],[2,5,7,8,9,10,11],[3,4,5,6,11,12,13],[3,4,6,9,10,11,14],[3,4,7,8,9,12,13],[3,5,6,8,9,10,11],[3,5,7,8,10,12,13],[4,5,6,7,10,13,14]]; G[3725]:=Group([(2,3)(6,7)(13,14)]); # Design 3726: autom. group order 2, simple, residual B[3726]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,8,11,14],[1,3,7,9,10,12,13],[1,4,5,8,9,13,14],[1,4,6,7,8,10,12],[1,4,8,10,11,13,14],[1,5,6,9,11,12,13],[1,5,7,9,11,12,14],[2,3,6,7,9,13,14],[2,3,8,11,12,13,14],[2,4,5,7,11,12,13],[2,4,6,8,9,12,13],[2,4,7,9,10,11,14],[2,5,6,8,10,12,14],[2,5,7,8,9,10,11],[3,4,5,6,11,12,14],[3,4,6,9,10,11,13],[3,4,7,8,9,12,14],[3,5,6,8,9,10,11],[3,5,7,8,10,12,13],[4,5,6,7,10,13,14]]; G[3726]:=Group([(2,3)(6,7)(13,14)]); # Design 3727: autom. group order 2, simple, residual B[3727]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,8,11,14],[1,3,7,9,10,12,13],[1,4,5,8,9,13,14],[1,4,6,7,8,10,12],[1,4,8,10,11,13,14],[1,5,6,9,11,12,13],[1,5,7,9,11,12,14],[2,3,6,7,9,13,14],[2,3,8,11,12,13,14],[2,4,5,7,11,12,13],[2,4,6,8,9,12,14],[2,4,7,9,10,11,14],[2,5,6,8,10,12,13],[2,5,7,8,9,10,11],[3,4,5,6,11,12,14],[3,4,6,9,10,11,13],[3,4,7,8,9,12,13],[3,5,6,8,9,10,11],[3,5,7,8,10,12,14],[4,5,6,7,10,13,14]]; G[3727]:=Group([(2,3)(6,7)(13,14)]); # Design 3728: autom. group order 2, simple, residual B[3728]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,8,11,14],[1,3,7,9,10,12,13],[1,4,5,8,9,13,14],[1,4,6,7,8,10,12],[1,4,8,10,11,13,14],[1,5,6,9,11,12,13],[1,5,7,9,11,12,14],[2,3,6,7,9,13,14],[2,3,8,11,12,13,14],[2,4,5,7,11,12,14],[2,4,6,8,9,12,13],[2,4,7,9,10,11,13],[2,5,6,8,10,12,14],[2,5,7,8,9,10,11],[3,4,5,6,11,12,13],[3,4,6,9,10,11,14],[3,4,7,8,9,12,14],[3,5,6,8,9,10,11],[3,5,7,8,10,12,13],[4,5,6,7,10,13,14]]; G[3728]:=Group([(2,3)(6,7)(13,14)]); # Design 3729: autom. group order 2, simple, residual B[3729]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,8,11,14],[1,3,7,9,10,12,13],[1,4,5,8,9,13,14],[1,4,6,7,8,10,12],[1,4,8,10,11,13,14],[1,5,6,9,11,12,13],[1,5,7,9,11,12,14],[2,3,6,7,9,13,14],[2,3,8,11,12,13,14],[2,4,5,7,11,12,14],[2,4,6,8,9,12,14],[2,4,7,9,10,11,13],[2,5,6,8,10,12,13],[2,5,7,8,9,10,11],[3,4,5,6,11,12,13],[3,4,6,9,10,11,14],[3,4,7,8,9,12,13],[3,5,6,8,9,10,11],[3,5,7,8,10,12,14],[4,5,6,7,10,13,14]]; G[3729]:=Group([(2,3)(6,7)(13,14)]); # Design 3730: autom. group order 2, simple, residual B[3730]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,11,12,14],[1,3,6,7,9,12,14],[1,3,7,9,11,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,9,10],[1,4,8,9,10,13,14],[1,5,6,9,10,12,13],[1,5,7,8,10,11,14],[2,3,6,7,10,13,14],[2,3,8,9,10,11,12],[2,4,5,7,9,11,13],[2,4,6,9,10,11,14],[2,4,7,8,12,13,14],[2,5,6,8,9,12,13],[2,5,7,9,10,12,14],[3,4,5,6,8,12,14],[3,4,6,9,11,13,14],[3,4,7,8,10,12,13],[3,5,6,8,10,11,13],[3,5,7,8,9,11,14],[4,5,6,7,10,11,12]]; G[3730]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3731: autom. group order 2, simple, residual B[3731]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,11,12,14],[1,3,6,7,9,12,14],[1,3,7,9,11,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,9,10],[1,4,8,9,10,13,14],[1,5,6,9,10,12,13],[1,5,7,8,10,11,14],[2,3,6,7,10,13,14],[2,3,8,9,10,11,12],[2,4,5,7,9,12,14],[2,4,6,9,10,11,14],[2,4,7,8,12,13,14],[2,5,6,8,9,12,13],[2,5,7,9,10,11,13],[3,4,5,6,8,11,13],[3,4,6,9,11,13,14],[3,4,7,8,10,12,13],[3,5,6,8,10,12,14],[3,5,7,8,9,11,14],[4,5,6,7,10,11,12]]; G[3731]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3732: autom. group order 2, simple, residual B[3732]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,11,12,14],[1,3,6,7,9,12,14],[1,3,7,9,11,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,9,10],[1,4,8,9,10,13,14],[1,5,6,9,10,12,14],[1,5,7,8,10,11,13],[2,3,6,7,10,13,14],[2,3,8,9,10,11,12],[2,4,5,7,9,11,14],[2,4,6,9,11,13,14],[2,4,7,8,10,12,14],[2,5,6,8,9,12,13],[2,5,7,9,10,12,13],[3,4,5,6,8,12,13],[3,4,6,9,10,11,13],[3,4,7,8,12,13,14],[3,5,6,8,10,11,14],[3,5,7,8,9,11,14],[4,5,6,7,10,11,12]]; G[3732]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3733: autom. group order 2, simple, residual B[3733]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,11,12,14],[1,3,6,7,9,12,14],[1,3,7,9,11,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,9,10],[1,4,8,9,10,13,14],[1,5,6,9,10,12,14],[1,5,7,8,10,11,13],[2,3,6,7,10,13,14],[2,3,8,9,10,11,12],[2,4,5,7,9,12,13],[2,4,6,9,11,13,14],[2,4,7,8,10,12,14],[2,5,6,8,9,12,13],[2,5,7,9,10,11,14],[3,4,5,6,8,11,14],[3,4,6,9,10,11,13],[3,4,7,8,12,13,14],[3,5,6,8,10,12,13],[3,5,7,8,9,11,14],[4,5,6,7,10,11,12]]; G[3733]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3734: autom. group order 2, simple, residual B[3734]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,11,12,14],[1,3,6,7,9,12,14],[1,3,7,9,11,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,9,10],[1,4,8,9,10,13,14],[1,5,6,8,10,12,13],[1,5,7,9,10,11,14],[2,3,6,7,10,13,14],[2,3,8,9,10,11,12],[2,4,5,7,9,12,13],[2,4,6,9,10,11,13],[2,4,7,8,12,13,14],[2,5,6,9,10,12,14],[2,5,7,8,9,11,14],[3,4,5,6,8,11,14],[3,4,6,9,11,13,14],[3,4,7,8,10,12,14],[3,5,6,8,9,12,13],[3,5,7,8,10,11,13],[4,5,6,7,10,11,12]]; G[3734]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3735: autom. group order 2, simple, residual B[3735]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,11,12,14],[1,3,6,7,9,12,14],[1,3,7,9,11,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,9,10],[1,4,8,9,10,13,14],[1,5,6,8,10,12,13],[1,5,7,9,10,11,14],[2,3,6,7,10,13,14],[2,3,8,9,10,11,12],[2,4,5,7,9,12,13],[2,4,6,9,10,12,14],[2,4,7,8,12,13,14],[2,5,6,9,10,11,13],[2,5,7,8,9,11,14],[3,4,5,6,8,11,14],[3,4,6,9,11,13,14],[3,4,7,8,10,11,13],[3,5,6,8,9,12,13],[3,5,7,8,10,12,14],[4,5,6,7,10,11,12]]; G[3735]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3736: autom. group order 2, simple, residual B[3736]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,11,12,14],[1,3,6,7,9,12,14],[1,3,7,9,11,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,9,10],[1,4,8,9,10,13,14],[1,5,6,8,10,12,14],[1,5,7,9,10,11,13],[2,3,6,7,10,13,14],[2,3,8,9,10,11,12],[2,4,5,7,9,12,14],[2,4,6,9,11,13,14],[2,4,7,8,10,12,13],[2,5,6,9,10,12,13],[2,5,7,8,9,11,14],[3,4,5,6,8,11,13],[3,4,6,9,10,11,14],[3,4,7,8,12,13,14],[3,5,6,8,9,12,13],[3,5,7,8,10,11,14],[4,5,6,7,10,11,12]]; G[3736]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3737: autom. group order 2, simple, residual B[3737]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,11,12,13],[1,3,6,7,9,12,14],[1,3,7,9,11,12,14],[1,4,5,11,12,13,14],[1,4,6,7,8,9,10],[1,4,8,9,10,13,14],[1,5,6,8,10,12,14],[1,5,7,9,10,11,13],[2,3,6,7,10,13,14],[2,3,8,9,10,11,12],[2,4,5,7,9,12,13],[2,4,6,9,12,13,14],[2,4,7,8,10,12,14],[2,5,6,9,10,11,14],[2,5,7,8,9,11,14],[3,4,5,6,8,11,14],[3,4,6,9,10,11,13],[3,4,7,8,11,13,14],[3,5,6,8,9,12,13],[3,5,7,8,10,12,13],[4,5,6,7,10,11,12]]; G[3737]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3738: autom. group order 2, simple, residual B[3738]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,7,10,11,12],[1,4,8,9,10,13,14],[1,5,6,9,10,11,13],[1,5,7,8,10,12,14],[2,3,6,7,10,13,14],[2,3,8,9,10,11,12],[2,4,5,7,9,11,14],[2,4,6,9,10,12,14],[2,4,7,8,12,13,14],[2,5,6,8,10,11,14],[2,5,7,9,11,12,13],[3,4,5,6,8,12,13],[3,4,6,9,11,13,14],[3,4,7,8,10,11,13],[3,5,6,8,11,12,14],[3,5,7,9,10,12,13],[4,5,6,7,8,9,10]]; G[3738]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3739: autom. group order 2, simple, residual B[3739]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,7,10,11,12],[1,4,8,9,10,13,14],[1,5,6,9,10,11,13],[1,5,7,8,10,12,14],[2,3,6,7,10,13,14],[2,3,8,9,10,11,12],[2,4,5,7,9,12,13],[2,4,6,9,10,11,14],[2,4,7,8,11,13,14],[2,5,6,8,10,12,14],[2,5,7,9,11,12,14],[3,4,5,6,8,11,14],[3,4,6,9,12,13,14],[3,4,7,8,10,12,13],[3,5,6,8,11,12,13],[3,5,7,9,10,11,13],[4,5,6,7,8,9,10]]; G[3739]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3740: autom. group order 2, simple, residual B[3740]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,7,10,13,14],[1,4,8,9,10,11,12],[1,5,6,9,10,11,13],[1,5,7,8,10,12,14],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,9,11,14],[2,4,6,9,10,12,14],[2,4,7,8,12,13,14],[2,5,6,8,10,11,14],[2,5,7,9,11,12,13],[3,4,5,6,8,12,13],[3,4,6,9,11,13,14],[3,4,7,8,10,11,13],[3,5,6,8,11,12,14],[3,5,7,9,10,12,13],[4,5,6,7,8,9,10]]; G[3740]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3741: autom. group order 2, simple, residual B[3741]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,7,10,13,14],[1,4,8,9,10,11,12],[1,5,6,9,10,11,13],[1,5,7,8,10,12,14],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,9,12,13],[2,4,6,9,10,11,14],[2,4,7,8,11,13,14],[2,5,6,8,10,12,14],[2,5,7,9,11,12,14],[3,4,5,6,8,11,14],[3,4,6,9,12,13,14],[3,4,7,8,10,12,13],[3,5,6,8,11,12,13],[3,5,7,9,10,11,13],[4,5,6,7,8,9,10]]; G[3741]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3742: autom. group order 2, simple, residual B[3742]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,7,10,11,12],[1,4,8,9,10,13,14],[1,5,6,9,10,12,13],[1,5,7,8,10,11,14],[2,3,6,7,10,13,14],[2,3,8,9,10,11,12],[2,4,5,7,9,11,13],[2,4,6,9,10,11,14],[2,4,7,8,12,13,14],[2,5,6,8,11,12,14],[2,5,7,9,10,12,14],[3,4,5,6,8,12,14],[3,4,6,9,11,13,14],[3,4,7,8,10,12,13],[3,5,6,8,10,11,13],[3,5,7,9,11,12,13],[4,5,6,7,8,9,10]]; G[3742]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3743: autom. group order 2, simple, residual B[3743]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,7,10,11,12],[1,4,8,9,10,13,14],[1,5,6,9,10,12,13],[1,5,7,8,10,11,14],[2,3,6,7,10,13,14],[2,3,8,9,10,11,12],[2,4,5,7,9,12,14],[2,4,6,9,10,11,14],[2,4,7,8,12,13,14],[2,5,6,8,11,12,14],[2,5,7,9,10,11,13],[3,4,5,6,8,11,13],[3,4,6,9,11,13,14],[3,4,7,8,10,12,13],[3,5,6,8,10,12,14],[3,5,7,9,11,12,13],[4,5,6,7,8,9,10]]; G[3743]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3744: autom. group order 2, simple, residual B[3744]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,7,10,13,14],[1,4,8,9,10,11,12],[1,5,6,9,10,12,13],[1,5,7,8,10,11,14],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,9,11,13],[2,4,6,9,10,11,14],[2,4,7,8,12,13,14],[2,5,6,8,11,12,14],[2,5,7,9,10,12,14],[3,4,5,6,8,12,14],[3,4,6,9,11,13,14],[3,4,7,8,10,12,13],[3,5,6,8,10,11,13],[3,5,7,9,11,12,13],[4,5,6,7,8,9,10]]; G[3744]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3745: autom. group order 2, simple, residual B[3745]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,7,10,13,14],[1,4,8,9,10,11,12],[1,5,6,9,10,12,13],[1,5,7,8,10,11,14],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,9,12,14],[2,4,6,9,10,11,14],[2,4,7,8,12,13,14],[2,5,6,8,11,12,14],[2,5,7,9,10,11,13],[3,4,5,6,8,11,13],[3,4,6,9,11,13,14],[3,4,7,8,10,12,13],[3,5,6,8,10,12,14],[3,5,7,9,11,12,13],[4,5,6,7,8,9,10]]; G[3745]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3746: autom. group order 2, simple, residual B[3746]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,9,12,14],[1,3,7,8,9,12,13],[1,4,5,11,12,13,14],[1,4,6,7,10,11,12],[1,4,8,9,10,13,14],[1,5,6,9,10,11,13],[1,5,7,8,10,12,14],[2,3,6,7,10,13,14],[2,3,8,9,10,11,12],[2,4,5,7,9,11,14],[2,4,6,8,10,12,14],[2,4,7,9,12,13,14],[2,5,6,9,10,12,13],[2,5,7,8,11,12,13],[3,4,5,6,8,12,13],[3,4,6,8,11,13,14],[3,4,7,9,10,11,13],[3,5,6,9,11,12,14],[3,5,7,8,10,11,14],[4,5,6,7,8,9,10]]; G[3746]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3747: autom. group order 2, simple, residual B[3747]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,9,12,14],[1,3,7,8,9,12,13],[1,4,5,11,12,13,14],[1,4,6,7,10,11,12],[1,4,8,9,10,13,14],[1,5,6,9,10,11,13],[1,5,7,8,10,12,14],[2,3,6,7,10,13,14],[2,3,8,9,10,11,12],[2,4,5,7,9,12,13],[2,4,6,8,10,12,13],[2,4,7,9,11,13,14],[2,5,6,9,10,12,14],[2,5,7,8,11,12,14],[3,4,5,6,8,11,14],[3,4,6,8,12,13,14],[3,4,7,9,10,11,14],[3,5,6,9,11,12,13],[3,5,7,8,10,11,13],[4,5,6,7,8,9,10]]; G[3747]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3748: autom. group order 2, simple, residual B[3748]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,9,12,14],[1,3,7,8,9,12,13],[1,4,5,11,12,13,14],[1,4,6,7,10,13,14],[1,4,8,9,10,11,12],[1,5,6,9,10,11,13],[1,5,7,8,10,12,14],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,9,11,14],[2,4,6,8,10,12,14],[2,4,7,9,12,13,14],[2,5,6,9,10,12,13],[2,5,7,8,11,12,13],[3,4,5,6,8,12,13],[3,4,6,8,11,13,14],[3,4,7,9,10,11,13],[3,5,6,9,11,12,14],[3,5,7,8,10,11,14],[4,5,6,7,8,9,10]]; G[3748]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3749: autom. group order 2, simple, residual B[3749]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,9,12,14],[1,3,7,8,9,12,13],[1,4,5,11,12,13,14],[1,4,6,7,10,13,14],[1,4,8,9,10,11,12],[1,5,6,9,10,11,13],[1,5,7,8,10,12,14],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,9,12,13],[2,4,6,8,10,12,13],[2,4,7,9,11,13,14],[2,5,6,9,10,12,14],[2,5,7,8,11,12,14],[3,4,5,6,8,11,14],[3,4,6,8,12,13,14],[3,4,7,9,10,11,14],[3,5,6,9,11,12,13],[3,5,7,8,10,11,13],[4,5,6,7,8,9,10]]; G[3749]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3750: autom. group order 2, simple, residual B[3750]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,9,12,14],[1,3,7,8,9,12,13],[1,4,5,11,12,13,14],[1,4,6,7,10,11,12],[1,4,8,9,10,13,14],[1,5,6,9,10,11,14],[1,5,7,8,10,12,13],[2,3,6,7,10,13,14],[2,3,8,9,10,11,12],[2,4,5,7,9,11,13],[2,4,6,8,12,13,14],[2,4,7,9,10,12,14],[2,5,6,9,10,12,13],[2,5,7,8,11,12,14],[3,4,5,6,8,12,14],[3,4,6,8,10,11,13],[3,4,7,9,11,13,14],[3,5,6,9,11,12,13],[3,5,7,8,10,11,14],[4,5,6,7,8,9,10]]; G[3750]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3751: autom. group order 2, simple, residual B[3751]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,9,12,14],[1,3,7,8,9,12,13],[1,4,5,11,12,13,14],[1,4,6,7,10,11,12],[1,4,8,9,10,13,14],[1,5,6,9,10,11,14],[1,5,7,8,10,12,13],[2,3,6,7,10,13,14],[2,3,8,9,10,11,12],[2,4,5,7,9,12,14],[2,4,6,8,12,13,14],[2,4,7,9,10,11,13],[2,5,6,9,10,12,13],[2,5,7,8,11,12,14],[3,4,5,6,8,11,13],[3,4,6,8,10,12,14],[3,4,7,9,11,13,14],[3,5,6,9,11,12,13],[3,5,7,8,10,11,14],[4,5,6,7,8,9,10]]; G[3751]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3752: autom. group order 2, simple, residual B[3752]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,9,12,14],[1,3,7,8,9,12,13],[1,4,5,11,12,13,14],[1,4,6,7,10,13,14],[1,4,8,9,10,11,12],[1,5,6,9,10,11,14],[1,5,7,8,10,12,13],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,9,11,13],[2,4,6,8,12,13,14],[2,4,7,9,10,12,14],[2,5,6,9,10,12,13],[2,5,7,8,11,12,14],[3,4,5,6,8,12,14],[3,4,6,8,10,11,13],[3,4,7,9,11,13,14],[3,5,6,9,11,12,13],[3,5,7,8,10,11,14],[4,5,6,7,8,9,10]]; G[3752]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3753: autom. group order 2, simple, residual B[3753]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,9,12,14],[1,3,7,8,9,12,13],[1,4,5,11,12,13,14],[1,4,6,7,10,13,14],[1,4,8,9,10,11,12],[1,5,6,9,10,11,14],[1,5,7,8,10,12,13],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,9,12,14],[2,4,6,8,12,13,14],[2,4,7,9,10,11,13],[2,5,6,9,10,12,13],[2,5,7,8,11,12,14],[3,4,5,6,8,11,13],[3,4,6,8,10,12,14],[3,4,7,9,11,13,14],[3,5,6,9,11,12,13],[3,5,7,8,10,11,14],[4,5,6,7,8,9,10]]; G[3753]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 3754: autom. group order 2, simple, residual B[3754]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,7,10,11,14],[1,4,8,9,10,12,14],[1,5,6,9,10,11,13],[1,5,7,8,10,12,13],[2,3,6,8,10,11,12],[2,3,7,9,10,13,14],[2,4,5,7,9,11,12],[2,4,6,7,12,13,14],[2,4,8,9,11,13,14],[2,5,6,9,10,11,14],[2,5,7,8,10,12,14],[3,4,5,6,8,13,14],[3,4,6,9,10,12,13],[3,4,7,8,10,11,13],[3,5,6,8,11,12,14],[3,5,7,9,11,12,13],[4,5,6,7,8,9,10]]; G[3754]:=Group([(6,8)(7,9)(11,12)]); # Design 3755: autom. group order 2, simple, residual B[3755]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,7,10,11,14],[1,4,8,9,10,12,14],[1,5,6,9,10,11,13],[1,5,7,8,10,12,13],[2,3,6,8,10,11,12],[2,3,7,9,10,13,14],[2,4,5,7,9,11,12],[2,4,6,7,12,13,14],[2,4,8,9,11,13,14],[2,5,6,9,10,12,14],[2,5,7,8,10,11,14],[3,4,5,6,8,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,12,13],[3,5,6,8,11,12,14],[3,5,7,9,11,12,13],[4,5,6,7,8,9,10]]; G[3755]:=Group([(6,8)(7,9)(11,12)]); # Design 3756: autom. group order 2, simple, residual B[3756]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,7,10,11,14],[1,4,8,9,10,12,14],[1,5,6,9,10,12,13],[1,5,7,8,10,11,13],[2,3,6,8,10,11,12],[2,3,7,9,10,13,14],[2,4,5,7,9,11,12],[2,4,6,7,12,13,14],[2,4,8,9,11,13,14],[2,5,6,9,10,11,14],[2,5,7,8,10,12,14],[3,4,5,6,8,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,12,13],[3,5,6,8,11,12,14],[3,5,7,9,11,12,13],[4,5,6,7,8,9,10]]; G[3756]:=Group([(6,8)(7,9)(11,12)]); # Design 3757: autom. group order 2, simple, residual B[3757]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,7,10,12,14],[1,4,8,9,10,11,14],[1,5,6,9,10,11,13],[1,5,7,8,10,12,13],[2,3,6,8,10,11,12],[2,3,7,9,10,13,14],[2,4,5,7,9,11,12],[2,4,6,7,11,13,14],[2,4,8,9,12,13,14],[2,5,6,9,10,11,14],[2,5,7,8,10,12,14],[3,4,5,6,8,13,14],[3,4,6,9,10,12,13],[3,4,7,8,10,11,13],[3,5,6,8,11,12,14],[3,5,7,9,11,12,13],[4,5,6,7,8,9,10]]; G[3757]:=Group([(6,8)(7,9)(11,12)]); # Design 3758: autom. group order 2, simple, residual B[3758]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,7,10,12,14],[1,4,8,9,10,11,14],[1,5,6,9,10,11,13],[1,5,7,8,10,12,13],[2,3,6,8,10,11,12],[2,3,7,9,10,13,14],[2,4,5,7,9,11,12],[2,4,6,7,11,13,14],[2,4,8,9,12,13,14],[2,5,6,9,10,12,14],[2,5,7,8,10,11,14],[3,4,5,6,8,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,12,13],[3,5,6,8,11,12,14],[3,5,7,9,11,12,13],[4,5,6,7,8,9,10]]; G[3758]:=Group([(6,8)(7,9)(11,12)]); # Design 3759: autom. group order 2, simple, residual B[3759]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,7,10,12,14],[1,4,8,9,10,11,14],[1,5,6,9,10,12,13],[1,5,7,8,10,11,13],[2,3,6,8,10,11,12],[2,3,7,9,10,13,14],[2,4,5,7,9,11,12],[2,4,6,7,11,13,14],[2,4,8,9,12,13,14],[2,5,6,9,10,11,14],[2,5,7,8,10,12,14],[3,4,5,6,8,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,12,13],[3,5,6,8,11,12,14],[3,5,7,9,11,12,13],[4,5,6,7,8,9,10]]; G[3759]:=Group([(6,8)(7,9)(11,12)]); # Design 3760: autom. group order 2, simple, residual B[3760]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,9,12,14],[1,3,7,8,9,12,13],[1,4,5,11,12,13,14],[1,4,6,7,10,11,13],[1,4,8,9,10,11,14],[1,5,6,9,10,12,13],[1,5,7,8,10,12,14],[2,3,6,8,10,13,14],[2,3,7,9,10,11,12],[2,4,5,7,9,13,14],[2,4,6,7,10,12,14],[2,4,8,9,10,12,13],[2,5,6,9,11,12,13],[2,5,7,8,11,12,14],[3,4,5,6,8,11,12],[3,4,6,8,12,13,14],[3,4,7,9,11,13,14],[3,5,6,9,10,11,14],[3,5,7,8,10,11,13],[4,5,6,7,8,9,10]]; G[3760]:=Group([(6,8)(7,9)(13,14)]); # Design 3761: autom. group order 2, simple, residual B[3761]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,9,12,14],[1,3,7,8,9,12,13],[1,4,5,11,12,13,14],[1,4,6,7,10,11,13],[1,4,8,9,10,11,14],[1,5,6,9,10,12,13],[1,5,7,8,10,12,14],[2,3,6,8,10,13,14],[2,3,7,9,10,11,12],[2,4,5,7,9,13,14],[2,4,6,7,10,12,14],[2,4,8,9,10,12,13],[2,5,6,9,11,12,14],[2,5,7,8,11,12,13],[3,4,5,6,8,11,12],[3,4,6,8,12,13,14],[3,4,7,9,11,13,14],[3,5,6,9,10,11,13],[3,5,7,8,10,11,14],[4,5,6,7,8,9,10]]; G[3761]:=Group([(6,8)(7,9)(13,14)]); # Design 3762: autom. group order 2, simple, residual B[3762]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,9,12,14],[1,3,7,8,9,12,13],[1,4,5,11,12,13,14],[1,4,6,7,10,11,13],[1,4,8,9,10,11,14],[1,5,6,9,10,12,14],[1,5,7,8,10,12,13],[2,3,6,8,10,13,14],[2,3,7,9,10,11,12],[2,4,5,7,9,13,14],[2,4,6,7,10,12,14],[2,4,8,9,10,12,13],[2,5,6,9,11,12,13],[2,5,7,8,11,12,14],[3,4,5,6,8,11,12],[3,4,6,8,12,13,14],[3,4,7,9,11,13,14],[3,5,6,9,10,11,13],[3,5,7,8,10,11,14],[4,5,6,7,8,9,10]]; G[3762]:=Group([(6,8)(7,9)(13,14)]); # Design 3763: autom. group order 2, simple, residual B[3763]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,9,12,14],[1,3,7,8,9,12,13],[1,4,5,11,12,13,14],[1,4,6,7,10,11,14],[1,4,8,9,10,11,13],[1,5,6,9,10,12,13],[1,5,7,8,10,12,14],[2,3,6,8,10,13,14],[2,3,7,9,10,11,12],[2,4,5,7,9,13,14],[2,4,6,7,10,12,13],[2,4,8,9,10,12,14],[2,5,6,9,11,12,13],[2,5,7,8,11,12,14],[3,4,5,6,8,11,12],[3,4,6,8,12,13,14],[3,4,7,9,11,13,14],[3,5,6,9,10,11,14],[3,5,7,8,10,11,13],[4,5,6,7,8,9,10]]; G[3763]:=Group([(6,8)(7,9)(13,14)]); # Design 3764: autom. group order 2, simple, residual B[3764]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,9,12,14],[1,3,7,8,9,12,13],[1,4,5,11,12,13,14],[1,4,6,7,10,11,14],[1,4,8,9,10,11,13],[1,5,6,9,10,12,13],[1,5,7,8,10,12,14],[2,3,6,8,10,13,14],[2,3,7,9,10,11,12],[2,4,5,7,9,13,14],[2,4,6,7,10,12,13],[2,4,8,9,10,12,14],[2,5,6,9,11,12,14],[2,5,7,8,11,12,13],[3,4,5,6,8,11,12],[3,4,6,8,12,13,14],[3,4,7,9,11,13,14],[3,5,6,9,10,11,13],[3,5,7,8,10,11,14],[4,5,6,7,8,9,10]]; G[3764]:=Group([(6,8)(7,9)(13,14)]); # Design 3765: autom. group order 2, simple, residual B[3765]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,9,12,14],[1,3,7,8,9,12,13],[1,4,5,11,12,13,14],[1,4,6,7,10,11,14],[1,4,8,9,10,11,13],[1,5,6,9,10,12,14],[1,5,7,8,10,12,13],[2,3,6,8,10,13,14],[2,3,7,9,10,11,12],[2,4,5,7,9,13,14],[2,4,6,7,10,12,13],[2,4,8,9,10,12,14],[2,5,6,9,11,12,13],[2,5,7,8,11,12,14],[3,4,5,6,8,11,12],[3,4,6,8,12,13,14],[3,4,7,9,11,13,14],[3,5,6,9,10,11,13],[3,5,7,8,10,11,14],[4,5,6,7,8,9,10]]; G[3765]:=Group([(6,8)(7,9)(13,14)]); # Design 3766: autom. group order 2, simple, residual B[3766]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,7,10,11,13],[1,4,8,9,10,12,13],[1,5,6,9,10,11,14],[1,5,7,8,10,12,14],[2,3,6,8,10,13,14],[2,3,7,9,10,11,12],[2,4,5,7,9,13,14],[2,4,6,7,10,12,14],[2,4,8,9,10,11,14],[2,5,6,8,11,12,14],[2,5,7,9,11,12,13],[3,4,5,6,8,11,12],[3,4,6,9,11,13,14],[3,4,7,8,12,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,7,8,9,10]]; G[3766]:=Group([(6,8)(7,9)(11,12)]); # Design 3767: autom. group order 2, simple, residual B[3767]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,7,10,11,13],[1,4,8,9,10,12,13],[1,5,6,9,10,11,14],[1,5,7,8,10,12,14],[2,3,6,8,10,13,14],[2,3,7,9,10,11,12],[2,4,5,7,9,13,14],[2,4,6,7,10,12,14],[2,4,8,9,10,11,14],[2,5,6,8,11,12,14],[2,5,7,9,11,12,13],[3,4,5,6,8,11,12],[3,4,6,9,12,13,14],[3,4,7,8,11,13,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,7,8,9,10]]; G[3767]:=Group([(6,8)(7,9)(11,12)]); # Design 3768: autom. group order 2, simple, residual B[3768]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,7,10,11,13],[1,4,8,9,10,12,13],[1,5,6,9,10,12,14],[1,5,7,8,10,11,14],[2,3,6,8,10,13,14],[2,3,7,9,10,11,12],[2,4,5,7,9,13,14],[2,4,6,7,10,12,14],[2,4,8,9,10,11,14],[2,5,6,8,11,12,14],[2,5,7,9,11,12,13],[3,4,5,6,8,11,12],[3,4,6,9,11,13,14],[3,4,7,8,12,13,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,7,8,9,10]]; G[3768]:=Group([(6,8)(7,9)(11,12)]); # Design 3769: autom. group order 2, simple, residual B[3769]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,7,10,12,13],[1,4,8,9,10,11,13],[1,5,6,9,10,11,14],[1,5,7,8,10,12,14],[2,3,6,8,10,13,14],[2,3,7,9,10,11,12],[2,4,5,7,9,13,14],[2,4,6,7,10,11,14],[2,4,8,9,10,12,14],[2,5,6,8,11,12,14],[2,5,7,9,11,12,13],[3,4,5,6,8,11,12],[3,4,6,9,11,13,14],[3,4,7,8,12,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,7,8,9,10]]; G[3769]:=Group([(6,8)(7,9)(11,12)]); # Design 3770: autom. group order 2, simple, residual B[3770]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,7,10,12,13],[1,4,8,9,10,11,13],[1,5,6,9,10,11,14],[1,5,7,8,10,12,14],[2,3,6,8,10,13,14],[2,3,7,9,10,11,12],[2,4,5,7,9,13,14],[2,4,6,7,10,11,14],[2,4,8,9,10,12,14],[2,5,6,8,11,12,14],[2,5,7,9,11,12,13],[3,4,5,6,8,11,12],[3,4,6,9,12,13,14],[3,4,7,8,11,13,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,7,8,9,10]]; G[3770]:=Group([(6,8)(7,9)(11,12)]); # Design 3771: autom. group order 2, simple, residual B[3771]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,7,10,12,13],[1,4,8,9,10,11,13],[1,5,6,9,10,12,14],[1,5,7,8,10,11,14],[2,3,6,8,10,13,14],[2,3,7,9,10,11,12],[2,4,5,7,9,13,14],[2,4,6,7,10,11,14],[2,4,8,9,10,12,14],[2,5,6,8,11,12,14],[2,5,7,9,11,12,13],[3,4,5,6,8,11,12],[3,4,6,9,11,13,14],[3,4,7,8,12,13,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,7,8,9,10]]; G[3771]:=Group([(6,8)(7,9)(11,12)]); # Design 3772: autom. group order 2, simple, residual B[3772]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,7,10,11,14],[1,4,8,9,10,12,14],[1,5,6,9,10,11,13],[1,5,7,8,10,12,13],[2,3,6,8,10,11,12],[2,3,7,9,10,13,14],[2,4,5,7,9,11,12],[2,4,6,9,11,13,14],[2,4,7,8,12,13,14],[2,5,6,7,10,12,14],[2,5,8,9,10,11,14],[3,4,5,6,8,13,14],[3,4,6,9,10,12,13],[3,4,7,8,10,11,13],[3,5,6,8,11,12,14],[3,5,7,9,11,12,13],[4,5,6,7,8,9,10]]; G[3772]:=Group([(6,8)(7,9)(11,12)]); # Design 3773: autom. group order 2, simple, residual B[3773]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,7,10,11,14],[1,4,8,9,10,12,14],[1,5,6,9,10,11,13],[1,5,7,8,10,12,13],[2,3,6,8,10,11,12],[2,3,7,9,10,13,14],[2,4,5,7,9,11,12],[2,4,6,9,12,13,14],[2,4,7,8,11,13,14],[2,5,6,7,10,12,14],[2,5,8,9,10,11,14],[3,4,5,6,8,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,12,13],[3,5,6,8,11,12,14],[3,5,7,9,11,12,13],[4,5,6,7,8,9,10]]; G[3773]:=Group([(6,8)(7,9)(11,12)]); # Design 3774: autom. group order 2, simple, residual B[3774]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,7,10,11,14],[1,4,8,9,10,12,14],[1,5,6,9,10,12,13],[1,5,7,8,10,11,13],[2,3,6,8,10,11,12],[2,3,7,9,10,13,14],[2,4,5,7,9,11,12],[2,4,6,9,11,13,14],[2,4,7,8,12,13,14],[2,5,6,7,10,12,14],[2,5,8,9,10,11,14],[3,4,5,6,8,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,12,13],[3,5,6,8,11,12,14],[3,5,7,9,11,12,13],[4,5,6,7,8,9,10]]; G[3774]:=Group([(6,8)(7,9)(11,12)]); # Design 3775: autom. group order 2, simple, residual B[3775]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,7,10,12,14],[1,4,8,9,10,11,14],[1,5,6,9,10,11,13],[1,5,7,8,10,12,13],[2,3,6,8,10,11,12],[2,3,7,9,10,13,14],[2,4,5,7,9,11,12],[2,4,6,9,11,13,14],[2,4,7,8,12,13,14],[2,5,6,7,10,11,14],[2,5,8,9,10,12,14],[3,4,5,6,8,13,14],[3,4,6,9,10,12,13],[3,4,7,8,10,11,13],[3,5,6,8,11,12,14],[3,5,7,9,11,12,13],[4,5,6,7,8,9,10]]; G[3775]:=Group([(6,8)(7,9)(11,12)]); # Design 3776: autom. group order 2, simple, residual B[3776]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,7,10,12,14],[1,4,8,9,10,11,14],[1,5,6,9,10,11,13],[1,5,7,8,10,12,13],[2,3,6,8,10,11,12],[2,3,7,9,10,13,14],[2,4,5,7,9,11,12],[2,4,6,9,12,13,14],[2,4,7,8,11,13,14],[2,5,6,7,10,11,14],[2,5,8,9,10,12,14],[3,4,5,6,8,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,12,13],[3,5,6,8,11,12,14],[3,5,7,9,11,12,13],[4,5,6,7,8,9,10]]; G[3776]:=Group([(6,8)(7,9)(11,12)]); # Design 3777: autom. group order 2, simple, residual B[3777]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,7,10,12,14],[1,4,8,9,10,11,14],[1,5,6,9,10,12,13],[1,5,7,8,10,11,13],[2,3,6,8,10,11,12],[2,3,7,9,10,13,14],[2,4,5,7,9,11,12],[2,4,6,9,11,13,14],[2,4,7,8,12,13,14],[2,5,6,7,10,11,14],[2,5,8,9,10,12,14],[3,4,5,6,8,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,12,13],[3,5,6,8,11,12,14],[3,5,7,9,11,12,13],[4,5,6,7,8,9,10]]; G[3777]:=Group([(6,8)(7,9)(11,12)]); # Design 3778: autom. group order 2, simple, residual B[3778]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,9,12,14],[1,3,7,8,9,12,13],[1,4,5,11,12,13,14],[1,4,6,7,10,11,13],[1,4,8,9,10,11,14],[1,5,6,9,10,12,13],[1,5,7,8,10,12,14],[2,3,6,8,10,13,14],[2,3,7,9,10,11,12],[2,4,5,7,9,13,14],[2,4,6,9,10,12,13],[2,4,7,8,10,12,14],[2,5,6,7,11,12,14],[2,5,8,9,11,12,13],[3,4,5,6,8,11,12],[3,4,6,8,12,13,14],[3,4,7,9,11,13,14],[3,5,6,9,10,11,14],[3,5,7,8,10,11,13],[4,5,6,7,8,9,10]]; G[3778]:=Group([(6,8)(7,9)(13,14)]); # Design 3779: autom. group order 2, simple, residual B[3779]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,9,12,14],[1,3,7,8,9,12,13],[1,4,5,11,12,13,14],[1,4,6,7,10,11,13],[1,4,8,9,10,11,14],[1,5,6,9,10,12,13],[1,5,7,8,10,12,14],[2,3,6,8,10,13,14],[2,3,7,9,10,11,12],[2,4,5,7,9,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,12,13],[2,5,6,7,11,12,14],[2,5,8,9,11,12,13],[3,4,5,6,8,11,12],[3,4,6,8,12,13,14],[3,4,7,9,11,13,14],[3,5,6,9,10,11,13],[3,5,7,8,10,11,14],[4,5,6,7,8,9,10]]; G[3779]:=Group([(6,8)(7,9)(13,14)]); # Design 3780: autom. group order 2, simple, residual B[3780]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,9,12,14],[1,3,7,8,9,12,13],[1,4,5,11,12,13,14],[1,4,6,7,10,11,13],[1,4,8,9,10,11,14],[1,5,6,9,10,12,14],[1,5,7,8,10,12,13],[2,3,6,8,10,13,14],[2,3,7,9,10,11,12],[2,4,5,7,9,13,14],[2,4,6,9,10,12,13],[2,4,7,8,10,12,14],[2,5,6,7,11,12,14],[2,5,8,9,11,12,13],[3,4,5,6,8,11,12],[3,4,6,8,12,13,14],[3,4,7,9,11,13,14],[3,5,6,9,10,11,13],[3,5,7,8,10,11,14],[4,5,6,7,8,9,10]]; G[3780]:=Group([(6,8)(7,9)(13,14)]); # Design 3781: autom. group order 2, simple, residual B[3781]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,9,12,14],[1,3,7,8,9,12,13],[1,4,5,11,12,13,14],[1,4,6,7,10,11,14],[1,4,8,9,10,11,13],[1,5,6,9,10,12,13],[1,5,7,8,10,12,14],[2,3,6,8,10,13,14],[2,3,7,9,10,11,12],[2,4,5,7,9,13,14],[2,4,6,9,10,12,13],[2,4,7,8,10,12,14],[2,5,6,7,11,12,13],[2,5,8,9,11,12,14],[3,4,5,6,8,11,12],[3,4,6,8,12,13,14],[3,4,7,9,11,13,14],[3,5,6,9,10,11,14],[3,5,7,8,10,11,13],[4,5,6,7,8,9,10]]; G[3781]:=Group([(6,8)(7,9)(13,14)]); # Design 3782: autom. group order 2, simple, residual B[3782]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,9,12,14],[1,3,7,8,9,12,13],[1,4,5,11,12,13,14],[1,4,6,7,10,11,14],[1,4,8,9,10,11,13],[1,5,6,9,10,12,13],[1,5,7,8,10,12,14],[2,3,6,8,10,13,14],[2,3,7,9,10,11,12],[2,4,5,7,9,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,12,13],[2,5,6,7,11,12,13],[2,5,8,9,11,12,14],[3,4,5,6,8,11,12],[3,4,6,8,12,13,14],[3,4,7,9,11,13,14],[3,5,6,9,10,11,13],[3,5,7,8,10,11,14],[4,5,6,7,8,9,10]]; G[3782]:=Group([(6,8)(7,9)(13,14)]); # Design 3783: autom. group order 2, simple, residual B[3783]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,9,12,14],[1,3,7,8,9,12,13],[1,4,5,11,12,13,14],[1,4,6,7,10,11,14],[1,4,8,9,10,11,13],[1,5,6,9,10,12,14],[1,5,7,8,10,12,13],[2,3,6,8,10,13,14],[2,3,7,9,10,11,12],[2,4,5,7,9,13,14],[2,4,6,9,10,12,13],[2,4,7,8,10,12,14],[2,5,6,7,11,12,13],[2,5,8,9,11,12,14],[3,4,5,6,8,11,12],[3,4,6,8,12,13,14],[3,4,7,9,11,13,14],[3,5,6,9,10,11,13],[3,5,7,8,10,11,14],[4,5,6,7,8,9,10]]; G[3783]:=Group([(6,8)(7,9)(13,14)]); # Design 3784: autom. group order 2, simple, residual B[3784]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,9,12,14],[1,3,7,8,9,12,13],[1,4,5,11,12,13,14],[1,4,6,7,10,12,13],[1,4,8,9,10,12,14],[1,5,6,9,10,11,13],[1,5,7,8,10,11,14],[2,3,6,8,10,11,12],[2,3,7,9,10,13,14],[2,4,5,7,9,11,12],[2,4,6,8,12,13,14],[2,4,7,9,11,13,14],[2,5,6,7,10,12,14],[2,5,8,9,10,12,13],[3,4,5,6,8,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,14],[3,5,6,9,11,12,14],[3,5,7,8,11,12,13],[4,5,6,7,8,9,10]]; G[3784]:=Group([(6,8)(7,9)(13,14)]); # Design 3785: autom. group order 2, simple, residual B[3785]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,9,12,14],[1,3,7,8,9,12,13],[1,4,5,11,12,13,14],[1,4,6,7,10,12,13],[1,4,8,9,10,12,14],[1,5,6,9,10,11,13],[1,5,7,8,10,11,14],[2,3,6,8,10,11,12],[2,3,7,9,10,13,14],[2,4,5,7,9,11,12],[2,4,6,8,12,13,14],[2,4,7,9,11,13,14],[2,5,6,7,10,12,14],[2,5,8,9,10,12,13],[3,4,5,6,8,13,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,13],[3,5,6,9,11,12,13],[3,5,7,8,11,12,14],[4,5,6,7,8,9,10]]; G[3785]:=Group([(6,8)(7,9)(13,14)]); # Design 3786: autom. group order 2, simple, residual B[3786]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,9,12,14],[1,3,7,8,9,12,13],[1,4,5,11,12,13,14],[1,4,6,7,10,12,13],[1,4,8,9,10,12,14],[1,5,6,9,10,11,14],[1,5,7,8,10,11,13],[2,3,6,8,10,11,12],[2,3,7,9,10,13,14],[2,4,5,7,9,11,12],[2,4,6,8,12,13,14],[2,4,7,9,11,13,14],[2,5,6,7,10,12,14],[2,5,8,9,10,12,13],[3,4,5,6,8,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,14],[3,5,6,9,11,12,13],[3,5,7,8,11,12,14],[4,5,6,7,8,9,10]]; G[3786]:=Group([(6,8)(7,9)(13,14)]); # Design 3787: autom. group order 2, simple, residual B[3787]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,9,12,14],[1,3,7,8,9,12,13],[1,4,5,11,12,13,14],[1,4,6,7,10,12,14],[1,4,8,9,10,12,13],[1,5,6,9,10,11,13],[1,5,7,8,10,11,14],[2,3,6,8,10,11,12],[2,3,7,9,10,13,14],[2,4,5,7,9,11,12],[2,4,6,8,12,13,14],[2,4,7,9,11,13,14],[2,5,6,7,10,12,13],[2,5,8,9,10,12,14],[3,4,5,6,8,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,14],[3,5,6,9,11,12,14],[3,5,7,8,11,12,13],[4,5,6,7,8,9,10]]; G[3787]:=Group([(6,8)(7,9)(13,14)]); # Design 3788: autom. group order 2, simple, residual B[3788]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,9,12,14],[1,3,7,8,9,12,13],[1,4,5,11,12,13,14],[1,4,6,7,10,12,14],[1,4,8,9,10,12,13],[1,5,6,9,10,11,13],[1,5,7,8,10,11,14],[2,3,6,8,10,11,12],[2,3,7,9,10,13,14],[2,4,5,7,9,11,12],[2,4,6,8,12,13,14],[2,4,7,9,11,13,14],[2,5,6,7,10,12,13],[2,5,8,9,10,12,14],[3,4,5,6,8,13,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,13],[3,5,6,9,11,12,13],[3,5,7,8,11,12,14],[4,5,6,7,8,9,10]]; G[3788]:=Group([(6,8)(7,9)(13,14)]); # Design 3789: autom. group order 2, simple, residual B[3789]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,9,12,14],[1,3,7,8,9,12,13],[1,4,5,11,12,13,14],[1,4,6,7,10,12,14],[1,4,8,9,10,12,13],[1,5,6,9,10,11,14],[1,5,7,8,10,11,13],[2,3,6,8,10,11,12],[2,3,7,9,10,13,14],[2,4,5,7,9,11,12],[2,4,6,8,12,13,14],[2,4,7,9,11,13,14],[2,5,6,7,10,12,13],[2,5,8,9,10,12,14],[3,4,5,6,8,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,14],[3,5,6,9,11,12,13],[3,5,7,8,11,12,14],[4,5,6,7,8,9,10]]; G[3789]:=Group([(6,8)(7,9)(13,14)]); # Design 3790: autom. group order 2, simple, residual B[3790]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,12],[1,2,6,8,9,13,14],[1,3,6,7,10,11,13],[1,3,7,8,12,13,14],[1,4,5,9,11,12,14],[1,4,6,7,9,12,14],[1,4,8,10,11,13,14],[1,5,6,8,9,10,11],[1,5,7,9,10,12,13],[2,3,6,9,11,12,13],[2,3,8,9,10,12,14],[2,4,5,7,11,13,14],[2,4,6,7,8,10,14],[2,4,7,9,10,12,13],[2,5,6,10,11,12,14],[2,5,7,8,9,11,13],[3,4,5,6,8,12,13],[3,4,6,9,11,13,14],[3,4,7,8,9,10,11],[3,5,6,7,9,10,14],[3,5,7,8,11,12,14],[4,5,6,8,10,12,13]]; G[3790]:=Group([(1,2)(4,5)(6,8)(7,9)(11,14)(12,13)]); # Design 3791: autom. group order 2, simple, residual B[3791]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,9,12,14],[1,3,7,8,9,12,13],[1,4,5,11,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,11,14],[1,5,6,9,10,12,13],[1,5,7,8,10,12,14],[2,3,6,8,10,13,14],[2,3,7,9,10,11,12],[2,4,5,7,9,13,14],[2,4,6,7,10,12,13],[2,4,8,9,10,12,14],[2,5,6,7,11,12,14],[2,5,8,9,11,12,13],[3,4,5,6,8,11,12],[3,4,6,8,12,13,14],[3,4,7,9,11,13,14],[3,5,6,9,10,11,14],[3,5,7,8,10,11,13],[4,5,6,7,8,9,10]]; G[3791]:=Group([(6,8)(7,9)(13,14)]); # Design 3792: autom. group order 2, simple, residual B[3792]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,9,12,14],[1,3,7,8,9,12,13],[1,4,5,11,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,11,14],[1,5,6,9,10,12,13],[1,5,7,8,10,12,14],[2,3,6,8,10,13,14],[2,3,7,9,10,11,12],[2,4,5,7,9,13,14],[2,4,6,7,10,12,14],[2,4,8,9,10,12,13],[2,5,6,7,11,12,13],[2,5,8,9,11,12,14],[3,4,5,6,8,11,12],[3,4,6,8,12,13,14],[3,4,7,9,11,13,14],[3,5,6,9,10,11,14],[3,5,7,8,10,11,13],[4,5,6,7,8,9,10]]; G[3792]:=Group([(6,8)(7,9)(13,14)]); # Design 3793: autom. group order 2, simple, residual B[3793]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,9,12,14],[1,3,7,8,9,12,13],[1,4,5,11,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,11,14],[1,5,6,9,10,12,14],[1,5,7,8,10,12,13],[2,3,6,8,10,13,14],[2,3,7,9,10,11,12],[2,4,5,7,9,13,14],[2,4,6,7,10,12,13],[2,4,8,9,10,12,14],[2,5,6,7,11,12,14],[2,5,8,9,11,12,13],[3,4,5,6,8,11,12],[3,4,6,8,12,13,14],[3,4,7,9,11,13,14],[3,5,6,9,10,11,13],[3,5,7,8,10,11,14],[4,5,6,7,8,9,10]]; G[3793]:=Group([(6,8)(7,9)(13,14)]); # Design 3794: autom. group order 2, simple, residual B[3794]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,9,12,14],[1,3,7,8,9,12,13],[1,4,5,11,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,11,14],[1,5,6,9,10,12,14],[1,5,7,8,10,12,13],[2,3,6,8,10,13,14],[2,3,7,9,10,11,12],[2,4,5,7,9,13,14],[2,4,6,7,10,12,14],[2,4,8,9,10,12,13],[2,5,6,7,11,12,13],[2,5,8,9,11,12,14],[3,4,5,6,8,11,12],[3,4,6,8,12,13,14],[3,4,7,9,11,13,14],[3,5,6,9,10,11,13],[3,5,7,8,10,11,14],[4,5,6,7,8,9,10]]; G[3794]:=Group([(6,8)(7,9)(13,14)]); # Design 3795: autom. group order 2, simple, residual B[3795]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,9,12,14],[1,3,7,8,9,12,13],[1,4,5,11,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,10,11,13],[1,5,6,9,10,12,13],[1,5,7,8,10,12,14],[2,3,6,8,10,13,14],[2,3,7,9,10,11,12],[2,4,5,7,9,13,14],[2,4,6,7,10,12,13],[2,4,8,9,10,12,14],[2,5,6,7,11,12,14],[2,5,8,9,11,12,13],[3,4,5,6,8,11,12],[3,4,6,8,12,13,14],[3,4,7,9,11,13,14],[3,5,6,9,10,11,13],[3,5,7,8,10,11,14],[4,5,6,7,8,9,10]]; G[3795]:=Group([(6,8)(7,9)(13,14)]); # Design 3796: autom. group order 2, simple, residual B[3796]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,9,12,14],[1,3,7,8,9,12,13],[1,4,5,11,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,10,11,13],[1,5,6,9,10,12,13],[1,5,7,8,10,12,14],[2,3,6,8,10,13,14],[2,3,7,9,10,11,12],[2,4,5,7,9,13,14],[2,4,6,7,10,12,14],[2,4,8,9,10,12,13],[2,5,6,7,11,12,13],[2,5,8,9,11,12,14],[3,4,5,6,8,11,12],[3,4,6,8,12,13,14],[3,4,7,9,11,13,14],[3,5,6,9,10,11,13],[3,5,7,8,10,11,14],[4,5,6,7,8,9,10]]; G[3796]:=Group([(6,8)(7,9)(13,14)]); # Design 3797: autom. group order 2, simple, residual B[3797]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,12,13],[1,5,6,9,10,11,14],[1,5,7,8,10,12,14],[2,3,6,8,10,13,14],[2,3,7,9,10,11,12],[2,4,5,7,9,13,14],[2,4,6,7,10,11,14],[2,4,8,9,10,12,14],[2,5,6,8,11,12,14],[2,5,7,9,11,12,13],[3,4,5,6,8,11,12],[3,4,6,7,12,13,14],[3,4,8,9,11,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,7,8,9,10]]; G[3797]:=Group([(6,8)(7,9)(11,12)]); # Design 3798: autom. group order 2, simple, residual B[3798]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,12,13],[1,5,6,9,10,11,14],[1,5,7,8,10,12,14],[2,3,6,8,10,13,14],[2,3,7,9,10,11,12],[2,4,5,7,9,13,14],[2,4,6,7,10,12,14],[2,4,8,9,10,11,14],[2,5,6,8,11,12,14],[2,5,7,9,11,12,13],[3,4,5,6,8,11,12],[3,4,6,7,11,13,14],[3,4,8,9,12,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,7,8,9,10]]; G[3798]:=Group([(6,8)(7,9)(11,12)]); # Design 3799: autom. group order 2, simple, residual B[3799]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,12,13],[1,5,6,9,10,12,14],[1,5,7,8,10,11,14],[2,3,6,8,10,13,14],[2,3,7,9,10,11,12],[2,4,5,7,9,13,14],[2,4,6,7,10,11,14],[2,4,8,9,10,12,14],[2,5,6,8,11,12,14],[2,5,7,9,11,12,13],[3,4,5,6,8,11,12],[3,4,6,7,12,13,14],[3,4,8,9,11,13,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,7,8,9,10]]; G[3799]:=Group([(6,8)(7,9)(11,12)]); # Design 3800: autom. group order 2, simple, residual B[3800]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,12,13],[1,5,6,9,10,12,14],[1,5,7,8,10,11,14],[2,3,6,8,10,13,14],[2,3,7,9,10,11,12],[2,4,5,7,9,13,14],[2,4,6,7,10,12,14],[2,4,8,9,10,11,14],[2,5,6,8,11,12,14],[2,5,7,9,11,12,13],[3,4,5,6,8,11,12],[3,4,6,7,11,13,14],[3,4,8,9,12,13,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,7,8,9,10]]; G[3800]:=Group([(6,8)(7,9)(11,12)]); # Design 3801: autom. group order 2, simple, residual B[3801]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,9,10,12,13],[1,4,7,8,10,11,13],[1,5,6,9,10,11,14],[1,5,7,8,10,12,14],[2,3,6,8,10,13,14],[2,3,7,9,10,11,12],[2,4,5,7,9,13,14],[2,4,6,7,10,11,14],[2,4,8,9,10,12,14],[2,5,6,8,11,12,14],[2,5,7,9,11,12,13],[3,4,5,6,8,11,12],[3,4,6,7,12,13,14],[3,4,8,9,11,13,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,7,8,9,10]]; G[3801]:=Group([(6,8)(7,9)(11,12)]); # Design 3802: autom. group order 2, simple, residual B[3802]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,9,10,12,13],[1,4,7,8,10,11,13],[1,5,6,9,10,11,14],[1,5,7,8,10,12,14],[2,3,6,8,10,13,14],[2,3,7,9,10,11,12],[2,4,5,7,9,13,14],[2,4,6,7,10,12,14],[2,4,8,9,10,11,14],[2,5,6,8,11,12,14],[2,5,7,9,11,12,13],[3,4,5,6,8,11,12],[3,4,6,7,11,13,14],[3,4,8,9,12,13,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,7,8,9,10]]; G[3802]:=Group([(6,8)(7,9)(11,12)]); # Design 3803: autom. group order 2, simple, residual B[3803]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,12,13],[1,5,6,9,10,11,14],[1,5,7,8,10,12,14],[2,3,6,8,10,13,14],[2,3,7,9,10,11,12],[2,4,5,7,9,13,14],[2,4,6,7,10,11,14],[2,4,8,9,10,12,14],[2,5,6,8,11,12,14],[2,5,7,9,11,12,13],[3,4,5,6,8,11,12],[3,4,6,9,12,13,14],[3,4,7,8,11,13,14],[3,5,6,7,10,12,13],[3,5,8,9,10,11,13],[4,5,6,7,8,9,10]]; G[3803]:=Group([(6,8)(7,9)(11,12)]); # Design 3804: autom. group order 2, simple, residual B[3804]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,12,13],[1,5,6,9,10,11,14],[1,5,7,8,10,12,14],[2,3,6,8,10,13,14],[2,3,7,9,10,11,12],[2,4,5,7,9,13,14],[2,4,6,7,10,12,14],[2,4,8,9,10,11,14],[2,5,6,8,11,12,14],[2,5,7,9,11,12,13],[3,4,5,6,8,11,12],[3,4,6,9,12,13,14],[3,4,7,8,11,13,14],[3,5,6,7,10,11,13],[3,5,8,9,10,12,13],[4,5,6,7,8,9,10]]; G[3804]:=Group([(6,8)(7,9)(11,12)]); # Design 3805: autom. group order 2, simple, residual B[3805]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,12,13],[1,5,6,9,10,12,14],[1,5,7,8,10,11,14],[2,3,6,8,10,13,14],[2,3,7,9,10,11,12],[2,4,5,7,9,13,14],[2,4,6,7,10,11,14],[2,4,8,9,10,12,14],[2,5,6,8,11,12,14],[2,5,7,9,11,12,13],[3,4,5,6,8,11,12],[3,4,6,9,11,13,14],[3,4,7,8,12,13,14],[3,5,6,7,10,12,13],[3,5,8,9,10,11,13],[4,5,6,7,8,9,10]]; G[3805]:=Group([(6,8)(7,9)(11,12)]); # Design 3806: autom. group order 2, simple, residual B[3806]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,12,13],[1,5,6,9,10,12,14],[1,5,7,8,10,11,14],[2,3,6,8,10,13,14],[2,3,7,9,10,11,12],[2,4,5,7,9,13,14],[2,4,6,7,10,12,14],[2,4,8,9,10,11,14],[2,5,6,8,11,12,14],[2,5,7,9,11,12,13],[3,4,5,6,8,11,12],[3,4,6,9,11,13,14],[3,4,7,8,12,13,14],[3,5,6,7,10,11,13],[3,5,8,9,10,12,13],[4,5,6,7,8,9,10]]; G[3806]:=Group([(6,8)(7,9)(11,12)]); # Design 3807: autom. group order 2, simple, residual B[3807]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,9,10,12,13],[1,4,7,8,10,11,13],[1,5,6,9,10,11,14],[1,5,7,8,10,12,14],[2,3,6,8,10,13,14],[2,3,7,9,10,11,12],[2,4,5,7,9,13,14],[2,4,6,7,10,11,14],[2,4,8,9,10,12,14],[2,5,6,8,11,12,14],[2,5,7,9,11,12,13],[3,4,5,6,8,11,12],[3,4,6,9,11,13,14],[3,4,7,8,12,13,14],[3,5,6,7,10,12,13],[3,5,8,9,10,11,13],[4,5,6,7,8,9,10]]; G[3807]:=Group([(6,8)(7,9)(11,12)]); # Design 3808: autom. group order 2, simple, residual B[3808]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,9,10,12,13],[1,4,7,8,10,11,13],[1,5,6,9,10,11,14],[1,5,7,8,10,12,14],[2,3,6,8,10,13,14],[2,3,7,9,10,11,12],[2,4,5,7,9,13,14],[2,4,6,7,10,12,14],[2,4,8,9,10,11,14],[2,5,6,8,11,12,14],[2,5,7,9,11,12,13],[3,4,5,6,8,11,12],[3,4,6,9,11,13,14],[3,4,7,8,12,13,14],[3,5,6,7,10,11,13],[3,5,8,9,10,12,13],[4,5,6,7,8,9,10]]; G[3808]:=Group([(6,8)(7,9)(11,12)]); # Design 3809: autom. group order 2, simple B[3809]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,11,12,13],[1,3,7,8,9,12,14],[1,4,5,9,11,13,14],[1,4,6,8,10,13,14],[1,4,7,10,12,13,14],[1,5,6,9,10,11,12],[1,5,7,8,9,10,12],[2,3,6,9,12,13,14],[2,3,8,10,11,12,14],[2,4,5,7,11,12,14],[2,4,6,7,9,10,14],[2,4,7,8,9,12,13],[2,5,6,9,10,12,13],[2,5,7,8,10,11,13],[3,4,5,6,8,12,13],[3,4,6,7,9,10,11],[3,4,8,9,10,11,13],[3,5,6,7,8,10,14],[3,5,7,9,11,13,14],[4,5,6,8,11,12,14]]; G[3809]:=Group([(2,13)(3,14)(5,10)(7,8)(9,12)]); # Design 3810: autom. group order 2, simple B[3810]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,11,12,13],[1,3,7,8,9,12,14],[1,4,5,9,11,13,14],[1,4,6,8,10,13,14],[1,4,7,10,12,13,14],[1,5,6,9,10,11,12],[1,5,7,8,9,10,12],[2,3,6,8,10,12,14],[2,3,9,11,12,13,14],[2,4,5,7,11,12,14],[2,4,6,7,9,10,14],[2,4,7,8,9,12,13],[2,5,6,9,10,12,13],[2,5,7,8,10,11,13],[3,4,5,6,8,12,13],[3,4,6,7,9,10,11],[3,4,8,9,10,11,13],[3,5,6,7,9,13,14],[3,5,7,8,10,11,14],[4,5,6,8,11,12,14]]; G[3810]:=Group([(2,13)(3,14)(5,10)(7,8)(9,12)]); # Design 3811: autom. group order 2, simple B[3811]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,10,13,14],[1,3,6,7,9,11,14],[1,3,8,9,12,13,14],[1,4,5,7,11,12,13],[1,4,6,7,9,10,14],[1,4,7,8,9,12,13],[1,5,6,8,10,11,12],[1,5,9,10,11,12,14],[2,3,6,9,11,12,13],[2,3,7,8,11,12,14],[2,4,5,9,11,13,14],[2,4,6,8,9,10,12],[2,4,7,10,12,13,14],[2,5,6,7,9,12,14],[2,5,7,8,9,10,11],[3,4,5,6,8,12,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,14],[3,5,6,7,10,12,13],[3,5,7,8,9,10,13],[4,5,6,8,11,13,14]]; G[3811]:=Group([(2,12)(3,11)(4,10)(6,9)(7,14)]); # Design 3812: autom. group order 2, simple B[3812]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,10,13,14],[1,3,6,7,9,11,14],[1,3,8,9,12,13,14],[1,4,5,7,11,12,13],[1,4,6,7,9,10,14],[1,4,7,8,9,12,13],[1,5,6,8,10,11,12],[1,5,9,10,11,12,14],[2,3,6,8,9,11,12],[2,3,7,11,12,13,14],[2,4,5,9,11,13,14],[2,4,6,9,10,12,13],[2,4,7,8,10,12,14],[2,5,6,7,9,12,14],[2,5,7,8,9,10,11],[3,4,5,6,8,12,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,14],[3,5,6,7,10,12,13],[3,5,7,8,9,10,13],[4,5,6,8,11,13,14]]; G[3812]:=Group([(2,12)(3,11)(4,10)(6,9)(7,14)]); # Design 3813: autom. group order 2, simple, residual B[3813]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,10,11,14],[1,3,8,9,10,12,14],[1,4,5,7,9,13,14],[1,4,6,7,10,12,13],[1,4,8,9,10,11,13],[1,5,6,8,11,12,14],[1,5,7,9,11,12,14],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,8,11,12],[3,4,6,7,8,9,14],[3,4,7,9,11,12,13],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,8,10,13,14]]; G[3813]:=Group([(6,8)(7,9)(11,12)]); # Design 3814: autom. group order 2, simple, residual B[3814]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,10,11,14],[1,3,8,9,10,12,14],[1,4,5,7,9,13,14],[1,4,6,7,10,12,13],[1,4,8,9,10,11,13],[1,5,6,8,11,12,14],[1,5,7,9,11,12,14],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,11,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,8,11,12],[3,4,6,7,8,9,14],[3,4,7,9,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,8,10,13,14]]; G[3814]:=Group([(6,8)(7,9)(11,12)]); # Design 3815: autom. group order 2, simple, residual B[3815]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,10,11,14],[1,3,8,9,10,12,14],[1,4,5,7,9,13,14],[1,4,6,7,10,12,13],[1,4,8,9,10,11,13],[1,5,6,8,11,12,14],[1,5,7,9,11,12,14],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,8,11,12],[3,4,6,7,8,9,14],[3,4,7,9,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,8,10,13,14]]; G[3815]:=Group([(6,8)(7,9)(11,12)]); # Design 3816: autom. group order 2, simple, residual B[3816]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,10,12,14],[1,3,8,9,10,11,14],[1,4,5,7,9,13,14],[1,4,6,7,10,11,13],[1,4,8,9,10,12,13],[1,5,6,8,11,12,14],[1,5,7,9,11,12,14],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,8,11,12],[3,4,6,7,8,9,14],[3,4,7,9,11,12,13],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,8,10,13,14]]; G[3816]:=Group([(6,8)(7,9)(11,12)]); # Design 3817: autom. group order 2, simple, residual B[3817]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,10,12,14],[1,3,8,9,10,11,14],[1,4,5,7,9,13,14],[1,4,6,7,10,11,13],[1,4,8,9,10,12,13],[1,5,6,8,11,12,14],[1,5,7,9,11,12,14],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,11,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,8,11,12],[3,4,6,7,8,9,14],[3,4,7,9,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,8,10,13,14]]; G[3817]:=Group([(6,8)(7,9)(11,12)]); # Design 3818: autom. group order 2, simple, residual B[3818]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,10,12,14],[1,3,8,9,10,11,14],[1,4,5,7,9,13,14],[1,4,6,7,10,11,13],[1,4,8,9,10,12,13],[1,5,6,8,11,12,14],[1,5,7,9,11,12,14],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,8,11,12],[3,4,6,7,8,9,14],[3,4,7,9,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,8,10,13,14]]; G[3818]:=Group([(6,8)(7,9)(11,12)]); # Design 3819: autom. group order 2, simple, residual B[3819]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,10,12,13],[1,3,8,9,10,12,14],[1,4,5,7,9,11,12],[1,4,6,8,12,13,14],[1,4,7,9,12,13,14],[1,5,6,9,10,11,13],[1,5,7,8,10,11,14],[2,3,6,7,11,12,14],[2,3,8,9,11,12,13],[2,4,5,11,12,13,14],[2,4,6,7,9,10,14],[2,4,7,8,9,10,13],[2,5,6,9,10,12,13],[2,5,7,8,10,12,14],[3,4,5,6,8,13,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,13],[3,5,6,7,8,9,12],[3,5,7,9,11,13,14],[4,5,6,8,10,11,12]]; G[3819]:=Group([(6,8)(7,9)(13,14)]); # Design 3820: autom. group order 2, simple, residual B[3820]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,10,12,13],[1,3,8,9,10,12,14],[1,4,5,7,9,11,12],[1,4,6,8,12,13,14],[1,4,7,9,12,13,14],[1,5,6,9,10,11,13],[1,5,7,8,10,11,14],[2,3,6,7,11,12,14],[2,3,8,9,11,12,13],[2,4,5,11,12,13,14],[2,4,6,7,9,10,14],[2,4,7,8,9,10,13],[2,5,6,9,10,12,14],[2,5,7,8,10,12,13],[3,4,5,6,8,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,14],[3,5,6,7,8,9,12],[3,5,7,9,11,13,14],[4,5,6,8,10,11,12]]; G[3820]:=Group([(6,8)(7,9)(13,14)]); # Design 3821: autom. group order 2, simple, residual B[3821]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,10,12,13],[1,3,8,9,10,12,14],[1,4,5,7,9,11,12],[1,4,6,8,12,13,14],[1,4,7,9,12,13,14],[1,5,6,9,10,11,14],[1,5,7,8,10,11,13],[2,3,6,7,11,12,14],[2,3,8,9,11,12,13],[2,4,5,11,12,13,14],[2,4,6,7,9,10,14],[2,4,7,8,9,10,13],[2,5,6,9,10,12,13],[2,5,7,8,10,12,14],[3,4,5,6,8,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,14],[3,5,6,7,8,9,12],[3,5,7,9,11,13,14],[4,5,6,8,10,11,12]]; G[3821]:=Group([(6,8)(7,9)(13,14)]); # Design 3822: autom. group order 2, simple, residual B[3822]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,10,12,14],[1,3,8,9,10,12,13],[1,4,5,7,9,11,12],[1,4,6,8,12,13,14],[1,4,7,9,12,13,14],[1,5,6,9,10,11,13],[1,5,7,8,10,11,14],[2,3,6,7,11,12,13],[2,3,8,9,11,12,14],[2,4,5,11,12,13,14],[2,4,6,7,9,10,14],[2,4,7,8,9,10,13],[2,5,6,9,10,12,13],[2,5,7,8,10,12,14],[3,4,5,6,8,13,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,13],[3,5,6,7,8,9,12],[3,5,7,9,11,13,14],[4,5,6,8,10,11,12]]; G[3822]:=Group([(6,8)(7,9)(13,14)]); # Design 3823: autom. group order 2, simple, residual B[3823]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,10,12,14],[1,3,8,9,10,12,13],[1,4,5,7,9,11,12],[1,4,6,8,12,13,14],[1,4,7,9,12,13,14],[1,5,6,9,10,11,13],[1,5,7,8,10,11,14],[2,3,6,7,11,12,13],[2,3,8,9,11,12,14],[2,4,5,11,12,13,14],[2,4,6,7,9,10,14],[2,4,7,8,9,10,13],[2,5,6,9,10,12,14],[2,5,7,8,10,12,13],[3,4,5,6,8,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,14],[3,5,6,7,8,9,12],[3,5,7,9,11,13,14],[4,5,6,8,10,11,12]]; G[3823]:=Group([(6,8)(7,9)(13,14)]); # Design 3824: autom. group order 2, simple, residual B[3824]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,10,12,14],[1,3,8,9,10,12,13],[1,4,5,7,9,11,12],[1,4,6,8,12,13,14],[1,4,7,9,12,13,14],[1,5,6,9,10,11,14],[1,5,7,8,10,11,13],[2,3,6,7,11,12,13],[2,3,8,9,11,12,14],[2,4,5,11,12,13,14],[2,4,6,7,9,10,14],[2,4,7,8,9,10,13],[2,5,6,9,10,12,13],[2,5,7,8,10,12,14],[3,4,5,6,8,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,14],[3,5,6,7,8,9,12],[3,5,7,9,11,13,14],[4,5,6,8,10,11,12]]; G[3824]:=Group([(6,8)(7,9)(13,14)]); # Design 3825: autom. group order 2, simple, residual B[3825]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,10,12,13],[1,3,8,9,10,12,14],[1,4,5,7,9,11,12],[1,4,6,8,12,13,14],[1,4,7,9,12,13,14],[1,5,6,9,10,11,13],[1,5,7,8,10,11,14],[2,3,6,9,11,12,13],[2,3,7,8,11,12,14],[2,4,5,11,12,13,14],[2,4,6,7,9,10,14],[2,4,7,8,9,10,13],[2,5,6,7,10,12,14],[2,5,8,9,10,12,13],[3,4,5,6,8,13,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,13],[3,5,6,7,8,9,12],[3,5,7,9,11,13,14],[4,5,6,8,10,11,12]]; G[3825]:=Group([(6,8)(7,9)(13,14)]); # Design 3826: autom. group order 2, simple, residual B[3826]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,10,12,13],[1,3,8,9,10,12,14],[1,4,5,7,9,11,12],[1,4,6,8,12,13,14],[1,4,7,9,12,13,14],[1,5,6,9,10,11,13],[1,5,7,8,10,11,14],[2,3,6,9,11,12,14],[2,3,7,8,11,12,13],[2,4,5,11,12,13,14],[2,4,6,7,9,10,14],[2,4,7,8,9,10,13],[2,5,6,7,10,12,14],[2,5,8,9,10,12,13],[3,4,5,6,8,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,14],[3,5,6,7,8,9,12],[3,5,7,9,11,13,14],[4,5,6,8,10,11,12]]; G[3826]:=Group([(6,8)(7,9)(13,14)]); # Design 3827: autom. group order 2, simple, residual B[3827]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,10,12,13],[1,3,8,9,10,12,14],[1,4,5,7,9,11,12],[1,4,6,8,12,13,14],[1,4,7,9,12,13,14],[1,5,6,9,10,11,14],[1,5,7,8,10,11,13],[2,3,6,9,11,12,13],[2,3,7,8,11,12,14],[2,4,5,11,12,13,14],[2,4,6,7,9,10,14],[2,4,7,8,9,10,13],[2,5,6,7,10,12,14],[2,5,8,9,10,12,13],[3,4,5,6,8,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,14],[3,5,6,7,8,9,12],[3,5,7,9,11,13,14],[4,5,6,8,10,11,12]]; G[3827]:=Group([(6,8)(7,9)(13,14)]); # Design 3828: autom. group order 2, simple, residual B[3828]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,10,12,14],[1,3,8,9,10,12,13],[1,4,5,7,9,11,12],[1,4,6,8,12,13,14],[1,4,7,9,12,13,14],[1,5,6,9,10,11,13],[1,5,7,8,10,11,14],[2,3,6,9,11,12,13],[2,3,7,8,11,12,14],[2,4,5,11,12,13,14],[2,4,6,7,9,10,14],[2,4,7,8,9,10,13],[2,5,6,7,10,12,13],[2,5,8,9,10,12,14],[3,4,5,6,8,13,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,13],[3,5,6,7,8,9,12],[3,5,7,9,11,13,14],[4,5,6,8,10,11,12]]; G[3828]:=Group([(6,8)(7,9)(13,14)]); # Design 3829: autom. group order 2, simple, residual B[3829]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,10,12,14],[1,3,8,9,10,12,13],[1,4,5,7,9,11,12],[1,4,6,8,12,13,14],[1,4,7,9,12,13,14],[1,5,6,9,10,11,13],[1,5,7,8,10,11,14],[2,3,6,9,11,12,14],[2,3,7,8,11,12,13],[2,4,5,11,12,13,14],[2,4,6,7,9,10,14],[2,4,7,8,9,10,13],[2,5,6,7,10,12,13],[2,5,8,9,10,12,14],[3,4,5,6,8,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,14],[3,5,6,7,8,9,12],[3,5,7,9,11,13,14],[4,5,6,8,10,11,12]]; G[3829]:=Group([(6,8)(7,9)(13,14)]); # Design 3830: autom. group order 2, simple, residual B[3830]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,10,12,14],[1,3,8,9,10,12,13],[1,4,5,7,9,11,12],[1,4,6,8,12,13,14],[1,4,7,9,12,13,14],[1,5,6,9,10,11,14],[1,5,7,8,10,11,13],[2,3,6,9,11,12,13],[2,3,7,8,11,12,14],[2,4,5,11,12,13,14],[2,4,6,7,9,10,14],[2,4,7,8,9,10,13],[2,5,6,7,10,12,13],[2,5,8,9,10,12,14],[3,4,5,6,8,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,14],[3,5,6,7,8,9,12],[3,5,7,9,11,13,14],[4,5,6,8,10,11,12]]; G[3830]:=Group([(6,8)(7,9)(13,14)]); # Design 3831: autom. group order 2, simple, residual B[3831]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,10,12,13],[1,3,8,9,10,12,14],[1,4,5,7,9,11,12],[1,4,6,8,12,13,14],[1,4,7,9,12,13,14],[1,5,6,9,10,11,13],[1,5,7,8,10,11,14],[2,3,6,9,11,12,13],[2,3,7,8,11,12,14],[2,4,5,11,12,13,14],[2,4,6,7,9,10,14],[2,4,7,8,9,10,13],[2,5,6,9,10,12,14],[2,5,7,8,10,12,13],[3,4,5,6,8,13,14],[3,4,6,7,10,11,14],[3,4,8,9,10,11,13],[3,5,6,7,8,9,12],[3,5,7,9,11,13,14],[4,5,6,8,10,11,12]]; G[3831]:=Group([(6,8)(7,9)(13,14)]); # Design 3832: autom. group order 2, simple, residual B[3832]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,10,12,13],[1,3,8,9,10,12,14],[1,4,5,7,9,11,12],[1,4,6,8,12,13,14],[1,4,7,9,12,13,14],[1,5,6,9,10,11,13],[1,5,7,8,10,11,14],[2,3,6,9,11,12,14],[2,3,7,8,11,12,13],[2,4,5,11,12,13,14],[2,4,6,7,9,10,14],[2,4,7,8,9,10,13],[2,5,6,9,10,12,13],[2,5,7,8,10,12,14],[3,4,5,6,8,13,14],[3,4,6,7,10,11,14],[3,4,8,9,10,11,13],[3,5,6,7,8,9,12],[3,5,7,9,11,13,14],[4,5,6,8,10,11,12]]; G[3832]:=Group([(6,8)(7,9)(13,14)]); # Design 3833: autom. group order 2, simple, residual B[3833]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,10,12,13],[1,3,8,9,10,12,14],[1,4,5,7,9,11,12],[1,4,6,8,12,13,14],[1,4,7,9,12,13,14],[1,5,6,9,10,11,14],[1,5,7,8,10,11,13],[2,3,6,9,11,12,13],[2,3,7,8,11,12,14],[2,4,5,11,12,13,14],[2,4,6,7,9,10,14],[2,4,7,8,9,10,13],[2,5,6,9,10,12,13],[2,5,7,8,10,12,14],[3,4,5,6,8,13,14],[3,4,6,7,10,11,14],[3,4,8,9,10,11,13],[3,5,6,7,8,9,12],[3,5,7,9,11,13,14],[4,5,6,8,10,11,12]]; G[3833]:=Group([(6,8)(7,9)(13,14)]); # Design 3834: autom. group order 2, simple, residual B[3834]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,10,12,14],[1,3,8,9,10,12,13],[1,4,5,7,9,11,12],[1,4,6,8,12,13,14],[1,4,7,9,12,13,14],[1,5,6,9,10,11,13],[1,5,7,8,10,11,14],[2,3,6,9,11,12,13],[2,3,7,8,11,12,14],[2,4,5,11,12,13,14],[2,4,6,7,9,10,14],[2,4,7,8,9,10,13],[2,5,6,9,10,12,14],[2,5,7,8,10,12,13],[3,4,5,6,8,13,14],[3,4,6,7,10,11,13],[3,4,8,9,10,11,14],[3,5,6,7,8,9,12],[3,5,7,9,11,13,14],[4,5,6,8,10,11,12]]; G[3834]:=Group([(6,8)(7,9)(13,14)]); # Design 3835: autom. group order 2, simple, residual B[3835]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,10,12,14],[1,3,8,9,10,12,13],[1,4,5,7,9,11,12],[1,4,6,8,12,13,14],[1,4,7,9,12,13,14],[1,5,6,9,10,11,13],[1,5,7,8,10,11,14],[2,3,6,9,11,12,14],[2,3,7,8,11,12,13],[2,4,5,11,12,13,14],[2,4,6,7,9,10,14],[2,4,7,8,9,10,13],[2,5,6,9,10,12,13],[2,5,7,8,10,12,14],[3,4,5,6,8,13,14],[3,4,6,7,10,11,13],[3,4,8,9,10,11,14],[3,5,6,7,8,9,12],[3,5,7,9,11,13,14],[4,5,6,8,10,11,12]]; G[3835]:=Group([(6,8)(7,9)(13,14)]); # Design 3836: autom. group order 2, simple, residual B[3836]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,10,12,14],[1,3,8,9,10,12,13],[1,4,5,7,9,11,12],[1,4,6,8,12,13,14],[1,4,7,9,12,13,14],[1,5,6,9,10,11,14],[1,5,7,8,10,11,13],[2,3,6,9,11,12,13],[2,3,7,8,11,12,14],[2,4,5,11,12,13,14],[2,4,6,7,9,10,14],[2,4,7,8,9,10,13],[2,5,6,9,10,12,13],[2,5,7,8,10,12,14],[3,4,5,6,8,13,14],[3,4,6,7,10,11,13],[3,4,8,9,10,11,14],[3,5,6,7,8,9,12],[3,5,7,9,11,13,14],[4,5,6,8,10,11,12]]; G[3836]:=Group([(6,8)(7,9)(13,14)]); # Design 3837: autom. group order 2, simple, residual B[3837]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,13],[1,3,6,7,11,12,14],[1,3,8,9,11,12,14],[1,4,5,11,12,13,14],[1,4,6,7,9,10,14],[1,4,7,8,9,10,14],[1,5,6,9,10,12,13],[1,5,7,8,10,12,13],[2,3,6,8,10,12,14],[2,3,7,9,10,12,13],[2,4,5,7,9,11,12],[2,4,6,7,12,13,14],[2,4,8,9,12,13,14],[2,5,6,9,10,11,14],[2,5,7,8,10,11,14],[3,4,5,6,8,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,13],[3,5,6,7,8,9,12],[3,5,7,9,11,13,14],[4,5,6,8,10,11,12]]; G[3837]:=Group([(6,8)(7,9)]); # Design 3838: autom. group order 2, simple, residual B[3838]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,11,12,13],[1,3,8,9,11,12,14],[1,4,5,11,12,13,14],[1,4,6,7,9,10,14],[1,4,7,8,9,10,13],[1,5,6,9,10,12,13],[1,5,7,8,10,12,14],[2,3,6,9,10,12,13],[2,3,7,8,10,12,14],[2,4,5,7,9,11,12],[2,4,6,8,12,13,14],[2,4,7,9,12,13,14],[2,5,6,7,10,11,14],[2,5,8,9,10,11,13],[3,4,5,6,8,13,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,13],[3,5,6,7,8,9,12],[3,5,7,9,11,13,14],[4,5,6,8,10,11,12]]; G[3838]:=Group([(6,8)(7,9)(13,14)]); # Design 3839: autom. group order 2, simple, residual B[3839]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,11,12,13],[1,3,8,9,11,12,14],[1,4,5,11,12,13,14],[1,4,6,7,9,10,14],[1,4,7,8,9,10,13],[1,5,6,9,10,12,13],[1,5,7,8,10,12,14],[2,3,6,9,10,12,14],[2,3,7,8,10,12,13],[2,4,5,7,9,11,12],[2,4,6,8,12,13,14],[2,4,7,9,12,13,14],[2,5,6,7,10,11,14],[2,5,8,9,10,11,13],[3,4,5,6,8,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,14],[3,5,6,7,8,9,12],[3,5,7,9,11,13,14],[4,5,6,8,10,11,12]]; G[3839]:=Group([(6,8)(7,9)(13,14)]); # Design 3840: autom. group order 2, simple, residual B[3840]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,11,12,13],[1,3,8,9,11,12,14],[1,4,5,11,12,13,14],[1,4,6,7,9,10,14],[1,4,7,8,9,10,13],[1,5,6,9,10,12,14],[1,5,7,8,10,12,13],[2,3,6,9,10,12,13],[2,3,7,8,10,12,14],[2,4,5,7,9,11,12],[2,4,6,8,12,13,14],[2,4,7,9,12,13,14],[2,5,6,7,10,11,14],[2,5,8,9,10,11,13],[3,4,5,6,8,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,14],[3,5,6,7,8,9,12],[3,5,7,9,11,13,14],[4,5,6,8,10,11,12]]; G[3840]:=Group([(6,8)(7,9)(13,14)]); # Design 3841: autom. group order 2, simple, residual B[3841]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,11,12,14],[1,3,8,9,11,12,13],[1,4,5,11,12,13,14],[1,4,6,7,9,10,14],[1,4,7,8,9,10,13],[1,5,6,9,10,12,13],[1,5,7,8,10,12,14],[2,3,6,9,10,12,13],[2,3,7,8,10,12,14],[2,4,5,7,9,11,12],[2,4,6,8,12,13,14],[2,4,7,9,12,13,14],[2,5,6,7,10,11,13],[2,5,8,9,10,11,14],[3,4,5,6,8,13,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,13],[3,5,6,7,8,9,12],[3,5,7,9,11,13,14],[4,5,6,8,10,11,12]]; G[3841]:=Group([(6,8)(7,9)(13,14)]); # Design 3842: autom. group order 2, simple, residual B[3842]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,11,12,14],[1,3,8,9,11,12,13],[1,4,5,11,12,13,14],[1,4,6,7,9,10,14],[1,4,7,8,9,10,13],[1,5,6,9,10,12,13],[1,5,7,8,10,12,14],[2,3,6,9,10,12,14],[2,3,7,8,10,12,13],[2,4,5,7,9,11,12],[2,4,6,8,12,13,14],[2,4,7,9,12,13,14],[2,5,6,7,10,11,13],[2,5,8,9,10,11,14],[3,4,5,6,8,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,14],[3,5,6,7,8,9,12],[3,5,7,9,11,13,14],[4,5,6,8,10,11,12]]; G[3842]:=Group([(6,8)(7,9)(13,14)]); # Design 3843: autom. group order 2, simple, residual B[3843]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,11,12,14],[1,3,8,9,11,12,13],[1,4,5,11,12,13,14],[1,4,6,7,9,10,14],[1,4,7,8,9,10,13],[1,5,6,9,10,12,14],[1,5,7,8,10,12,13],[2,3,6,9,10,12,13],[2,3,7,8,10,12,14],[2,4,5,7,9,11,12],[2,4,6,8,12,13,14],[2,4,7,9,12,13,14],[2,5,6,7,10,11,13],[2,5,8,9,10,11,14],[3,4,5,6,8,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,14],[3,5,6,7,8,9,12],[3,5,7,9,11,13,14],[4,5,6,8,10,11,12]]; G[3843]:=Group([(6,8)(7,9)(13,14)]); # Design 3844: autom. group order 2, simple, residual B[3844]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,13],[1,3,6,7,11,12,14],[1,3,8,9,11,12,14],[1,4,5,11,12,13,14],[1,4,6,7,9,10,14],[1,4,7,8,9,10,14],[1,5,6,9,10,12,13],[1,5,7,8,10,12,13],[2,3,6,8,10,12,14],[2,3,7,9,10,12,13],[2,4,5,7,9,11,12],[2,4,6,9,12,13,14],[2,4,7,8,12,13,14],[2,5,6,7,10,11,14],[2,5,8,9,10,11,14],[3,4,5,6,8,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,13],[3,5,6,7,8,9,12],[3,5,7,9,11,13,14],[4,5,6,8,10,11,12]]; G[3844]:=Group([(6,8)(7,9)]); # Design 3845: autom. group order 2, simple, residual B[3845]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,11,12,13],[1,3,8,9,11,12,14],[1,4,5,11,12,13,14],[1,4,6,7,9,10,14],[1,4,7,8,9,10,13],[1,5,6,9,10,12,13],[1,5,7,8,10,12,14],[2,3,6,9,10,12,13],[2,3,7,8,10,12,14],[2,4,5,7,9,11,12],[2,4,6,8,12,13,14],[2,4,7,9,12,13,14],[2,5,6,9,10,11,14],[2,5,7,8,10,11,13],[3,4,5,6,8,13,14],[3,4,6,7,10,11,14],[3,4,8,9,10,11,13],[3,5,6,7,8,9,12],[3,5,7,9,11,13,14],[4,5,6,8,10,11,12]]; G[3845]:=Group([(6,8)(7,9)(13,14)]); # Design 3846: autom. group order 2, simple, residual B[3846]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,11,12,13],[1,3,8,9,11,12,14],[1,4,5,11,12,13,14],[1,4,6,7,9,10,14],[1,4,7,8,9,10,13],[1,5,6,9,10,12,13],[1,5,7,8,10,12,14],[2,3,6,9,10,12,14],[2,3,7,8,10,12,13],[2,4,5,7,9,11,12],[2,4,6,8,12,13,14],[2,4,7,9,12,13,14],[2,5,6,9,10,11,13],[2,5,7,8,10,11,14],[3,4,5,6,8,13,14],[3,4,6,7,10,11,14],[3,4,8,9,10,11,13],[3,5,6,7,8,9,12],[3,5,7,9,11,13,14],[4,5,6,8,10,11,12]]; G[3846]:=Group([(6,8)(7,9)(13,14)]); # Design 3847: autom. group order 2, simple, residual B[3847]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,11,12,13],[1,3,8,9,11,12,14],[1,4,5,11,12,13,14],[1,4,6,7,9,10,14],[1,4,7,8,9,10,13],[1,5,6,9,10,12,14],[1,5,7,8,10,12,13],[2,3,6,9,10,12,13],[2,3,7,8,10,12,14],[2,4,5,7,9,11,12],[2,4,6,8,12,13,14],[2,4,7,9,12,13,14],[2,5,6,9,10,11,13],[2,5,7,8,10,11,14],[3,4,5,6,8,13,14],[3,4,6,7,10,11,14],[3,4,8,9,10,11,13],[3,5,6,7,8,9,12],[3,5,7,9,11,13,14],[4,5,6,8,10,11,12]]; G[3847]:=Group([(6,8)(7,9)(13,14)]); # Design 3848: autom. group order 2, simple, residual B[3848]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,11,12,14],[1,3,8,9,11,12,13],[1,4,5,11,12,13,14],[1,4,6,7,9,10,14],[1,4,7,8,9,10,13],[1,5,6,9,10,12,13],[1,5,7,8,10,12,14],[2,3,6,9,10,12,13],[2,3,7,8,10,12,14],[2,4,5,7,9,11,12],[2,4,6,8,12,13,14],[2,4,7,9,12,13,14],[2,5,6,9,10,11,14],[2,5,7,8,10,11,13],[3,4,5,6,8,13,14],[3,4,6,7,10,11,13],[3,4,8,9,10,11,14],[3,5,6,7,8,9,12],[3,5,7,9,11,13,14],[4,5,6,8,10,11,12]]; G[3848]:=Group([(6,8)(7,9)(13,14)]); # Design 3849: autom. group order 2, simple, residual B[3849]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,11,12,14],[1,3,8,9,11,12,13],[1,4,5,11,12,13,14],[1,4,6,7,9,10,14],[1,4,7,8,9,10,13],[1,5,6,9,10,12,13],[1,5,7,8,10,12,14],[2,3,6,9,10,12,14],[2,3,7,8,10,12,13],[2,4,5,7,9,11,12],[2,4,6,8,12,13,14],[2,4,7,9,12,13,14],[2,5,6,9,10,11,13],[2,5,7,8,10,11,14],[3,4,5,6,8,13,14],[3,4,6,7,10,11,13],[3,4,8,9,10,11,14],[3,5,6,7,8,9,12],[3,5,7,9,11,13,14],[4,5,6,8,10,11,12]]; G[3849]:=Group([(6,8)(7,9)(13,14)]); # Design 3850: autom. group order 2, simple, residual B[3850]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,11,12,14],[1,3,8,9,11,12,13],[1,4,5,11,12,13,14],[1,4,6,7,9,10,14],[1,4,7,8,9,10,13],[1,5,6,9,10,12,14],[1,5,7,8,10,12,13],[2,3,6,9,10,12,13],[2,3,7,8,10,12,14],[2,4,5,7,9,11,12],[2,4,6,8,12,13,14],[2,4,7,9,12,13,14],[2,5,6,9,10,11,13],[2,5,7,8,10,11,14],[3,4,5,6,8,13,14],[3,4,6,7,10,11,13],[3,4,8,9,10,11,14],[3,5,6,7,8,9,12],[3,5,7,9,11,13,14],[4,5,6,8,10,11,12]]; G[3850]:=Group([(6,8)(7,9)(13,14)]); # Design 3851: autom. group order 2, simple, residual B[3851]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,13],[1,3,6,7,11,12,14],[1,3,8,9,11,12,14],[1,4,5,11,12,13,14],[1,4,6,7,9,10,14],[1,4,7,8,9,10,14],[1,5,6,9,10,12,13],[1,5,7,8,10,12,13],[2,3,6,8,10,12,14],[2,3,7,9,10,12,13],[2,4,5,7,9,11,12],[2,4,6,9,12,13,14],[2,4,7,8,12,13,14],[2,5,6,9,10,11,14],[2,5,7,8,10,11,14],[3,4,5,6,8,13,14],[3,4,6,7,10,11,13],[3,4,8,9,10,11,13],[3,5,6,7,8,9,12],[3,5,7,9,11,13,14],[4,5,6,8,10,11,12]]; G[3851]:=Group([(6,8)(7,9)]); # Design 3852: autom. group order 2, simple B[3852]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,9,10,11,13],[1,3,7,8,11,12,14],[1,4,5,7,11,12,13],[1,4,6,7,9,10,14],[1,4,7,8,9,13,14],[1,5,6,8,10,12,13],[1,5,9,10,11,12,14],[2,3,6,9,11,13,14],[2,3,7,8,10,12,14],[2,4,5,9,12,13,14],[2,4,6,8,10,12,13],[2,4,7,10,11,13,14],[2,5,6,7,9,11,12],[2,5,7,8,9,10,11],[3,4,5,6,8,11,14],[3,4,6,7,9,10,12],[3,4,8,9,11,12,13],[3,5,6,7,12,13,14],[3,5,7,8,9,10,13],[4,5,6,8,10,11,14]]; G[3852]:=Group([(1,2)(4,5)(6,8)(7,9)(11,14)(12,13)]); # Design 3853: autom. group order 2, simple B[3853]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,12],[1,2,6,8,9,13,14],[1,3,6,9,10,11,13],[1,3,7,8,11,13,14],[1,4,5,7,11,12,13],[1,4,6,7,9,12,14],[1,4,7,8,9,10,14],[1,5,6,8,10,12,13],[1,5,9,10,11,12,14],[2,3,6,9,11,12,14],[2,3,7,8,10,12,14],[2,4,5,9,12,13,14],[2,4,6,8,10,12,13],[2,4,7,10,11,13,14],[2,5,6,7,9,10,11],[2,5,7,8,9,11,13],[3,4,5,6,8,11,14],[3,4,6,7,9,10,13],[3,4,8,9,11,12,13],[3,5,6,7,12,13,14],[3,5,7,8,9,10,12],[4,5,6,8,10,11,14]]; G[3853]:=Group([(1,2)(4,5)(6,8)(7,9)(11,14)(12,13)]); # Design 3854: autom. group order 2, simple, residual B[3854]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,12],[1,2,6,8,9,13,14],[1,3,6,9,10,11,13],[1,3,7,8,11,13,14],[1,4,5,7,12,13,14],[1,4,6,7,9,12,14],[1,4,7,8,9,10,11],[1,5,6,8,10,12,13],[1,5,9,10,11,12,14],[2,3,6,9,11,12,14],[2,3,7,8,10,12,14],[2,4,5,9,11,12,13],[2,4,6,8,10,12,13],[2,4,7,10,11,13,14],[2,5,6,7,9,10,14],[2,5,7,8,9,11,13],[3,4,5,6,8,11,14],[3,4,6,7,9,10,13],[3,4,8,9,12,13,14],[3,5,6,7,11,12,13],[3,5,7,8,9,10,12],[4,5,6,8,10,11,14]]; G[3854]:=Group([(1,2)(4,5)(6,8)(7,9)(11,14)(12,13)]); # Design 3855: autom. group order 2, simple, residual B[3855]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,13,14],[1,2,6,8,9,11,12],[1,3,6,9,11,12,13],[1,3,7,8,10,11,13],[1,4,5,7,11,12,14],[1,4,6,7,9,10,13],[1,4,7,8,9,12,14],[1,5,6,8,10,11,14],[1,5,9,10,12,13,14],[2,3,6,9,10,12,14],[2,3,7,8,12,13,14],[2,4,5,9,11,13,14],[2,4,6,8,10,11,14],[2,4,7,10,11,12,13],[2,5,6,7,9,11,13],[2,5,7,8,9,10,12],[3,4,5,6,8,12,13],[3,4,6,7,9,10,14],[3,4,8,9,11,13,14],[3,5,6,7,11,12,14],[3,5,7,8,9,10,11],[4,5,6,8,10,12,13]]; G[3855]:=Group([(1,2)(4,5)(6,8)(7,9)(11,14)(12,13)]); # Design 3856: autom. group order 2, simple B[3856]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,13,14],[1,2,6,8,9,11,12],[1,3,6,9,11,13,14],[1,3,7,8,10,12,13],[1,4,5,7,11,12,14],[1,4,6,7,9,10,13],[1,4,7,8,9,11,14],[1,5,6,8,10,12,14],[1,5,9,10,11,12,13],[2,3,6,9,10,11,14],[2,3,7,8,11,12,13],[2,4,5,9,12,13,14],[2,4,6,8,10,12,14],[2,4,7,10,11,13,14],[2,5,6,7,9,12,13],[2,5,7,8,9,10,11],[3,4,5,6,8,11,13],[3,4,6,7,9,10,12],[3,4,8,9,12,13,14],[3,5,6,7,11,12,14],[3,5,7,8,9,10,14],[4,5,6,8,10,11,13]]; G[3856]:=Group([(1,2)(4,5)(6,8)(7,9)(11,13)(12,14)]); # Design 3857: autom. group order 2, simple B[3857]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,9,12,13,14],[1,3,7,8,10,13,14],[1,4,5,7,11,12,14],[1,4,6,7,9,11,13],[1,4,7,8,9,10,12],[1,5,6,8,10,11,14],[1,5,9,10,11,12,13],[2,3,6,9,10,11,12],[2,3,7,8,11,12,13],[2,4,5,9,11,13,14],[2,4,6,8,10,11,14],[2,4,7,10,12,13,14],[2,5,6,7,9,10,13],[2,5,7,8,9,12,14],[3,4,5,6,8,12,13],[3,4,6,7,9,10,14],[3,4,8,9,11,13,14],[3,5,6,7,11,12,14],[3,5,7,8,9,10,11],[4,5,6,8,10,12,13]]; G[3857]:=Group([(1,2)(4,5)(6,8)(7,9)(11,14)(12,13)]); # Design 3858: autom. group order 2, simple B[3858]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,12],[1,2,6,8,9,13,14],[1,3,6,9,10,11,13],[1,3,7,8,11,13,14],[1,4,5,7,11,12,13],[1,4,6,7,9,12,14],[1,4,8,10,12,13,14],[1,5,6,8,9,10,12],[1,5,7,9,10,11,14],[2,3,6,9,11,12,14],[2,3,7,8,10,12,14],[2,4,5,9,12,13,14],[2,4,6,7,8,10,13],[2,4,7,9,10,11,14],[2,5,6,10,11,12,13],[2,5,7,8,9,11,13],[3,4,5,6,8,11,14],[3,4,6,7,9,10,13],[3,4,8,9,11,12,13],[3,5,6,7,12,13,14],[3,5,7,8,9,10,12],[4,5,6,8,10,11,14]]; G[3858]:=Group([(1,2)(4,5)(6,8)(7,9)(11,14)(12,13)]); # Design 3859: autom. group order 2, simple, residual B[3859]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,12],[1,2,6,8,9,13,14],[1,3,6,9,10,11,13],[1,3,7,8,11,13,14],[1,4,5,7,12,13,14],[1,4,6,7,9,12,14],[1,4,8,10,11,12,13],[1,5,6,8,9,10,12],[1,5,7,9,10,11,14],[2,3,6,9,11,12,14],[2,3,7,8,10,12,14],[2,4,5,9,11,12,13],[2,4,6,7,8,10,13],[2,4,7,9,10,11,14],[2,5,6,10,12,13,14],[2,5,7,8,9,11,13],[3,4,5,6,8,11,14],[3,4,6,7,9,10,13],[3,4,8,9,12,13,14],[3,5,6,7,11,12,13],[3,5,7,8,9,10,12],[4,5,6,8,10,11,14]]; G[3859]:=Group([(1,2)(4,5)(6,8)(7,9)(11,14)(12,13)]); # Design 3860: autom. group order 2, simple B[3860]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,9,12,13,14],[1,3,7,8,10,13,14],[1,4,5,7,11,12,14],[1,4,6,7,9,11,13],[1,4,8,10,11,12,14],[1,5,6,8,9,10,11],[1,5,7,9,10,12,13],[2,3,6,9,10,11,12],[2,3,7,8,11,12,13],[2,4,5,9,11,13,14],[2,4,6,7,8,10,14],[2,4,7,9,10,12,13],[2,5,6,10,11,13,14],[2,5,7,8,9,12,14],[3,4,5,6,8,12,13],[3,4,6,7,9,10,14],[3,4,8,9,11,13,14],[3,5,6,7,11,12,14],[3,5,7,8,9,10,11],[4,5,6,8,10,12,13]]; G[3860]:=Group([(1,2)(4,5)(6,8)(7,9)(11,14)(12,13)]); # Design 3861: autom. group order 2, simple, residual B[3861]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,9,10,11,14],[1,3,7,8,10,12,14],[1,4,5,7,9,13,14],[1,4,6,7,10,11,13],[1,4,8,9,10,12,13],[1,5,6,8,11,12,14],[1,5,7,9,11,12,14],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,5,11,12,13,14],[2,4,6,7,10,12,14],[2,4,8,9,10,11,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,8,11,12],[3,4,6,7,8,9,14],[3,4,7,9,11,12,13],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,8,10,13,14]]; G[3861]:=Group([(6,8)(7,9)(11,12)]); # Design 3862: autom. group order 2, simple, residual B[3862]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,9,10,11,14],[1,3,7,8,10,12,14],[1,4,5,7,9,13,14],[1,4,6,7,10,11,13],[1,4,8,9,10,12,13],[1,5,6,8,11,12,14],[1,5,7,9,11,12,14],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,5,11,12,13,14],[2,4,6,7,10,12,14],[2,4,8,9,10,11,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,8,11,12],[3,4,6,7,8,9,14],[3,4,7,9,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,8,10,13,14]]; G[3862]:=Group([(6,8)(7,9)(11,12)]); # Design 3863: autom. group order 2, simple, residual B[3863]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,9,10,11,14],[1,3,7,8,10,12,14],[1,4,5,7,9,13,14],[1,4,6,7,10,12,13],[1,4,8,9,10,11,13],[1,5,6,8,11,12,14],[1,5,7,9,11,12,14],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,5,11,12,13,14],[2,4,6,7,10,11,14],[2,4,8,9,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,8,11,12],[3,4,6,7,8,9,14],[3,4,7,9,11,12,13],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,8,10,13,14]]; G[3863]:=Group([(6,8)(7,9)(11,12)]); # Design 3864: autom. group order 2, simple, residual B[3864]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,9,10,11,14],[1,3,7,8,10,12,14],[1,4,5,7,9,13,14],[1,4,6,7,10,12,13],[1,4,8,9,10,11,13],[1,5,6,8,11,12,14],[1,5,7,9,11,12,14],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,5,11,12,13,14],[2,4,6,7,10,11,14],[2,4,8,9,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,8,11,12],[3,4,6,7,8,9,14],[3,4,7,9,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,8,10,13,14]]; G[3864]:=Group([(6,8)(7,9)(11,12)]); # Design 3865: autom. group order 2, simple, residual B[3865]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,9,10,12,14],[1,3,7,8,10,11,14],[1,4,5,7,9,13,14],[1,4,6,7,10,11,13],[1,4,8,9,10,12,13],[1,5,6,8,11,12,14],[1,5,7,9,11,12,14],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,5,11,12,13,14],[2,4,6,7,10,12,14],[2,4,8,9,10,11,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,8,11,12],[3,4,6,7,8,9,14],[3,4,7,9,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,8,10,13,14]]; G[3865]:=Group([(6,8)(7,9)(11,12)]); # Design 3866: autom. group order 2, simple, residual B[3866]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,9,10,12,14],[1,3,7,8,10,11,14],[1,4,5,7,9,13,14],[1,4,6,7,10,12,13],[1,4,8,9,10,11,13],[1,5,6,8,11,12,14],[1,5,7,9,11,12,14],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,5,11,12,13,14],[2,4,6,7,10,11,14],[2,4,8,9,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,8,11,12],[3,4,6,7,8,9,14],[3,4,7,9,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,8,10,13,14]]; G[3866]:=Group([(6,8)(7,9)(11,12)]); # Design 3867: autom. group order 2, simple, residual B[3867]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,9,10,11,14],[1,3,7,8,10,12,14],[1,4,5,7,9,13,14],[1,4,6,7,10,11,13],[1,4,8,9,10,12,13],[1,5,6,8,11,12,14],[1,5,7,9,11,12,14],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,11,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,8,11,12],[3,4,6,7,8,9,14],[3,4,7,9,11,12,13],[3,5,6,7,10,12,13],[3,5,8,9,10,11,13],[4,5,6,8,10,13,14]]; G[3867]:=Group([(6,8)(7,9)(11,12)]); # Design 3868: autom. group order 2, simple, residual B[3868]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,9,10,11,14],[1,3,7,8,10,12,14],[1,4,5,7,9,13,14],[1,4,6,7,10,11,13],[1,4,8,9,10,12,13],[1,5,6,8,11,12,14],[1,5,7,9,11,12,14],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,8,11,12],[3,4,6,7,8,9,14],[3,4,7,9,11,12,13],[3,5,6,7,10,12,13],[3,5,8,9,10,11,13],[4,5,6,8,10,13,14]]; G[3868]:=Group([(6,8)(7,9)(11,12)]); # Design 3869: autom. group order 2, simple, residual B[3869]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,9,10,11,14],[1,3,7,8,10,12,14],[1,4,5,7,9,13,14],[1,4,6,7,10,12,13],[1,4,8,9,10,11,13],[1,5,6,8,11,12,14],[1,5,7,9,11,12,14],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,11,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,8,11,12],[3,4,6,7,8,9,14],[3,4,7,9,11,12,13],[3,5,6,7,10,11,13],[3,5,8,9,10,12,13],[4,5,6,8,10,13,14]]; G[3869]:=Group([(6,8)(7,9)(11,12)]); # Design 3870: autom. group order 2, simple, residual B[3870]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,9,10,11,14],[1,3,7,8,10,12,14],[1,4,5,7,9,13,14],[1,4,6,7,10,12,13],[1,4,8,9,10,11,13],[1,5,6,8,11,12,14],[1,5,7,9,11,12,14],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,8,11,12],[3,4,6,7,8,9,14],[3,4,7,9,11,12,13],[3,5,6,7,10,11,13],[3,5,8,9,10,12,13],[4,5,6,8,10,13,14]]; G[3870]:=Group([(6,8)(7,9)(11,12)]); # Design 3871: autom. group order 2, simple, residual B[3871]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,9,10,12,14],[1,3,7,8,10,11,14],[1,4,5,7,9,13,14],[1,4,6,7,10,11,13],[1,4,8,9,10,12,13],[1,5,6,8,11,12,14],[1,5,7,9,11,12,14],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,8,11,12],[3,4,6,7,8,9,14],[3,4,7,9,11,12,13],[3,5,6,7,10,12,13],[3,5,8,9,10,11,13],[4,5,6,8,10,13,14]]; G[3871]:=Group([(6,8)(7,9)(11,12)]); # Design 3872: autom. group order 2, simple, residual B[3872]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,9,10,12,14],[1,3,7,8,10,11,14],[1,4,5,7,9,13,14],[1,4,6,7,10,12,13],[1,4,8,9,10,11,13],[1,5,6,8,11,12,14],[1,5,7,9,11,12,14],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,8,11,12],[3,4,6,7,8,9,14],[3,4,7,9,11,12,13],[3,5,6,7,10,11,13],[3,5,8,9,10,12,13],[4,5,6,8,10,13,14]]; G[3872]:=Group([(6,8)(7,9)(11,12)]); # Design 3873: autom. group order 2, simple B[3873]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,9,10,11,13],[1,3,7,8,11,12,14],[1,4,5,7,11,12,13],[1,4,6,10,12,13,14],[1,4,7,8,9,13,14],[1,5,6,8,9,10,12],[1,5,7,9,10,11,14],[2,3,6,9,11,13,14],[2,3,7,8,10,12,14],[2,4,5,9,12,13,14],[2,4,6,7,8,10,13],[2,4,7,9,10,11,14],[2,5,6,7,9,11,12],[2,5,8,10,11,12,13],[3,4,5,6,8,11,14],[3,4,6,7,9,10,12],[3,4,8,9,11,12,13],[3,5,6,7,12,13,14],[3,5,7,8,9,10,13],[4,5,6,8,10,11,14]]; G[3873]:=Group([(1,2)(4,5)(6,8)(7,9)(11,14)(12,13)]); # Design 3874: autom. group order 2, simple, residual B[3874]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,9,10,11,12],[1,3,7,8,11,12,14],[1,4,5,7,12,13,14],[1,4,6,10,12,13,14],[1,4,7,8,9,11,13],[1,5,6,8,9,10,13],[1,5,7,9,10,11,14],[2,3,6,9,11,13,14],[2,3,7,8,10,13,14],[2,4,5,9,11,12,13],[2,4,6,7,8,10,12],[2,4,7,9,10,11,14],[2,5,6,7,9,12,14],[2,5,8,10,11,12,13],[3,4,5,6,8,11,14],[3,4,6,7,9,10,13],[3,4,8,9,12,13,14],[3,5,6,7,11,12,13],[3,5,7,8,9,10,12],[4,5,6,8,10,11,14]]; G[3874]:=Group([(1,2)(4,5)(6,8)(7,9)(11,14)(12,13)]); # Design 3875: autom. group order 2, simple, residual B[3875]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,13,14],[1,2,6,8,9,11,12],[1,3,6,9,11,12,13],[1,3,7,8,10,11,13],[1,4,5,7,11,12,14],[1,4,6,10,11,13,14],[1,4,7,8,9,12,14],[1,5,6,8,9,10,14],[1,5,7,9,10,12,13],[2,3,6,9,10,12,14],[2,3,7,8,12,13,14],[2,4,5,9,11,13,14],[2,4,6,7,8,10,11],[2,4,7,9,10,12,13],[2,5,6,7,9,11,13],[2,5,8,10,11,12,14],[3,4,5,6,8,12,13],[3,4,6,7,9,10,14],[3,4,8,9,11,13,14],[3,5,6,7,11,12,14],[3,5,7,8,9,10,11],[4,5,6,8,10,12,13]]; G[3875]:=Group([(1,2)(4,5)(6,8)(7,9)(11,14)(12,13)]); # Design 3876: autom. group order 2, simple B[3876]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,13,14],[1,2,6,8,9,11,12],[1,3,6,9,11,13,14],[1,3,7,8,10,12,13],[1,4,5,7,11,12,14],[1,4,6,10,12,13,14],[1,4,7,8,9,11,14],[1,5,6,8,9,10,12],[1,5,7,9,10,11,13],[2,3,6,9,10,11,14],[2,3,7,8,11,12,13],[2,4,5,9,12,13,14],[2,4,6,7,8,10,14],[2,4,7,9,10,11,13],[2,5,6,7,9,12,13],[2,5,8,10,11,12,14],[3,4,5,6,8,11,13],[3,4,6,7,9,10,12],[3,4,8,9,12,13,14],[3,5,6,7,11,12,14],[3,5,7,8,9,10,14],[4,5,6,8,10,11,13]]; G[3876]:=Group([(1,2)(4,5)(6,8)(7,9)(11,13)(12,14)]); # Design 3877: autom. group order 2, simple, residual B[3877]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,9,10,12,13],[1,3,7,8,10,12,14],[1,4,5,7,9,11,12],[1,4,6,8,12,13,14],[1,4,7,9,12,13,14],[1,5,6,9,10,11,13],[1,5,7,8,10,11,14],[2,3,6,9,11,12,14],[2,3,7,8,11,12,13],[2,4,5,11,12,13,14],[2,4,6,7,9,10,14],[2,4,7,8,9,10,13],[2,5,6,7,10,12,13],[2,5,8,9,10,12,14],[3,4,5,6,8,13,14],[3,4,6,7,10,11,14],[3,4,8,9,10,11,13],[3,5,6,7,8,9,12],[3,5,7,9,11,13,14],[4,5,6,8,10,11,12]]; G[3877]:=Group([(6,8)(7,9)(13,14)]); # Design 3878: autom. group order 2, simple, residual B[3878]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,9,10,12,13],[1,3,7,8,10,12,14],[1,4,5,7,9,11,12],[1,4,6,8,12,13,14],[1,4,7,9,12,13,14],[1,5,6,9,10,11,13],[1,5,7,8,10,11,14],[2,3,6,9,11,12,14],[2,3,7,8,11,12,13],[2,4,5,11,12,13,14],[2,4,6,7,9,10,14],[2,4,7,8,9,10,13],[2,5,6,7,10,12,14],[2,5,8,9,10,12,13],[3,4,5,6,8,13,14],[3,4,6,7,10,11,13],[3,4,8,9,10,11,14],[3,5,6,7,8,9,12],[3,5,7,9,11,13,14],[4,5,6,8,10,11,12]]; G[3878]:=Group([(6,8)(7,9)(13,14)]); # Design 3879: autom. group order 2, simple, residual B[3879]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,9,10,12,13],[1,3,7,8,10,12,14],[1,4,5,7,9,11,12],[1,4,6,8,12,13,14],[1,4,7,9,12,13,14],[1,5,6,9,10,11,14],[1,5,7,8,10,11,13],[2,3,6,9,11,12,13],[2,3,7,8,11,12,14],[2,4,5,11,12,13,14],[2,4,6,7,9,10,14],[2,4,7,8,9,10,13],[2,5,6,7,10,12,13],[2,5,8,9,10,12,14],[3,4,5,6,8,13,14],[3,4,6,7,10,11,14],[3,4,8,9,10,11,13],[3,5,6,7,8,9,12],[3,5,7,9,11,13,14],[4,5,6,8,10,11,12]]; G[3879]:=Group([(6,8)(7,9)(13,14)]); # Design 3880: autom. group order 2, simple, residual B[3880]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,9,10,12,13],[1,3,7,8,10,12,14],[1,4,5,7,9,11,12],[1,4,6,8,12,13,14],[1,4,7,9,12,13,14],[1,5,6,9,10,11,14],[1,5,7,8,10,11,13],[2,3,6,9,11,12,13],[2,3,7,8,11,12,14],[2,4,5,11,12,13,14],[2,4,6,7,9,10,14],[2,4,7,8,9,10,13],[2,5,6,7,10,12,14],[2,5,8,9,10,12,13],[3,4,5,6,8,13,14],[3,4,6,7,10,11,13],[3,4,8,9,10,11,14],[3,5,6,7,8,9,12],[3,5,7,9,11,13,14],[4,5,6,8,10,11,12]]; G[3880]:=Group([(6,8)(7,9)(13,14)]); # Design 3881: autom. group order 2, simple, residual B[3881]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,9,10,12,14],[1,3,7,8,10,12,13],[1,4,5,7,9,11,12],[1,4,6,8,12,13,14],[1,4,7,9,12,13,14],[1,5,6,9,10,11,13],[1,5,7,8,10,11,14],[2,3,6,9,11,12,13],[2,3,7,8,11,12,14],[2,4,5,11,12,13,14],[2,4,6,7,9,10,14],[2,4,7,8,9,10,13],[2,5,6,7,10,12,13],[2,5,8,9,10,12,14],[3,4,5,6,8,13,14],[3,4,6,7,10,11,14],[3,4,8,9,10,11,13],[3,5,6,7,8,9,12],[3,5,7,9,11,13,14],[4,5,6,8,10,11,12]]; G[3881]:=Group([(6,8)(7,9)(13,14)]); # Design 3882: autom. group order 2, simple, residual B[3882]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,9,10,12,14],[1,3,7,8,10,12,13],[1,4,5,7,9,11,12],[1,4,6,8,12,13,14],[1,4,7,9,12,13,14],[1,5,6,9,10,11,13],[1,5,7,8,10,11,14],[2,3,6,9,11,12,13],[2,3,7,8,11,12,14],[2,4,5,11,12,13,14],[2,4,6,7,9,10,14],[2,4,7,8,9,10,13],[2,5,6,7,10,12,14],[2,5,8,9,10,12,13],[3,4,5,6,8,13,14],[3,4,6,7,10,11,13],[3,4,8,9,10,11,14],[3,5,6,7,8,9,12],[3,5,7,9,11,13,14],[4,5,6,8,10,11,12]]; G[3882]:=Group([(6,8)(7,9)(13,14)]); # Design 3883: autom. group order 2, simple B[3883]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,12,13,14],[1,2,5,7,10,12,13],[1,2,5,9,11,12,14],[1,3,6,8,11,12,13],[1,3,7,8,9,10,14],[1,4,5,8,10,13,14],[1,4,6,7,12,13,14],[1,4,6,9,10,11,12],[1,5,7,9,10,11,13],[1,6,7,8,9,11,14],[2,3,6,9,10,13,14],[2,3,7,10,11,12,14],[2,4,6,7,9,13,14],[2,4,7,8,9,10,12],[2,4,8,9,11,12,13],[2,5,6,7,8,11,13],[2,5,6,8,10,11,14],[3,4,5,7,11,12,14],[3,4,5,9,11,13,14],[3,4,7,8,10,11,13],[3,5,6,7,8,9,12],[3,5,6,9,10,12,13],[4,5,6,8,10,12,14]]; G[3883]:=Group([(1,8)(2,10)(3,14)(4,5)(7,12)(9,13)]); # Design 3884: autom. group order 2, simple B[3884]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,10,12,13,14],[1,2,5,7,11,12,13],[1,2,5,8,11,12,14],[1,3,6,9,11,13,14],[1,3,7,9,10,11,14],[1,4,5,8,9,10,13],[1,4,6,7,10,12,13],[1,4,7,8,9,13,14],[1,5,6,8,10,12,14],[1,6,7,8,9,11,12],[2,3,6,8,9,12,13],[2,3,7,8,9,10,12],[2,4,6,7,9,12,14],[2,4,6,8,11,13,14],[2,4,7,8,10,11,14],[2,5,6,9,10,13,14],[2,5,7,9,10,11,13],[3,4,5,7,12,13,14],[3,4,5,9,11,12,14],[3,4,8,10,11,12,13],[3,5,6,7,8,10,14],[3,5,6,7,8,11,13],[4,5,6,9,10,11,12]]; G[3884]:=Group([(2,8)(3,9)(6,13)(7,10)(11,14)]); # Design 3885: autom. group order 2, simple B[3885]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,12,13,14],[1,2,5,7,10,12,13],[1,2,5,9,10,12,14],[1,3,6,9,10,11,14],[1,3,7,8,10,11,13],[1,4,5,8,11,13,14],[1,4,6,7,8,12,14],[1,4,7,9,10,13,14],[1,5,6,9,11,12,13],[1,6,7,8,9,11,12],[2,3,6,8,9,12,13],[2,3,7,9,11,13,14],[2,4,6,7,9,13,14],[2,4,6,10,11,12,13],[2,4,8,10,11,12,14],[2,5,6,7,8,11,14],[2,5,7,8,9,10,11],[3,4,5,7,11,12,13],[3,4,5,9,11,12,14],[3,4,7,8,9,10,12],[3,5,6,7,10,12,14],[3,5,6,8,10,13,14],[4,5,6,8,9,10,13]]; G[3885]:=Group([(1,10)(3,11)(5,12)(7,13)(9,14)]); # Design 3886: autom. group order 2, simple B[3886]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,12,13,14],[1,2,5,7,10,12,13],[1,2,5,9,10,12,14],[1,3,6,9,10,11,14],[1,3,7,8,10,11,13],[1,4,5,8,11,13,14],[1,4,6,8,9,12,13],[1,4,7,9,10,13,14],[1,5,6,7,11,12,14],[1,6,7,8,9,11,12],[2,3,6,7,8,12,14],[2,3,7,9,11,13,14],[2,4,6,7,9,13,14],[2,4,6,10,11,12,13],[2,4,8,10,11,12,14],[2,5,6,8,9,11,13],[2,5,7,8,9,10,11],[3,4,5,7,11,12,13],[3,4,5,9,11,12,14],[3,4,7,8,9,10,12],[3,5,6,8,10,13,14],[3,5,6,9,10,12,13],[4,5,6,7,8,10,14]]; G[3886]:=Group([(1,10)(3,11)(5,12)(7,13)(9,14)]); # Design 3887: autom. group order 2, simple B[3887]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,10,12,13,14],[1,2,5,7,11,12,13],[1,2,5,8,9,12,14],[1,3,6,8,9,12,13],[1,3,7,8,10,11,14],[1,4,5,8,10,11,13],[1,4,6,9,10,12,14],[1,4,7,9,10,13,14],[1,5,6,7,11,12,14],[1,6,7,8,9,11,13],[2,3,6,9,11,13,14],[2,3,7,9,10,11,12],[2,4,6,7,8,12,14],[2,4,6,8,11,13,14],[2,4,7,8,10,12,13],[2,5,6,7,9,10,13],[2,5,8,9,10,11,14],[3,4,5,7,9,13,14],[3,4,5,11,12,13,14],[3,4,7,8,9,11,12],[3,5,6,7,8,10,14],[3,5,6,8,10,12,13],[4,5,6,9,10,11,12]]; G[3887]:=Group([(1,5)(3,9)(4,8)(6,14)(7,12)]); # Design 3888: autom. group order 2, simple B[3888]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,10,12,13,14],[1,2,5,7,11,12,13],[1,2,5,8,9,12,14],[1,3,6,8,9,12,13],[1,3,7,8,10,11,14],[1,4,5,8,10,11,13],[1,4,6,9,10,12,14],[1,4,7,9,11,13,14],[1,5,6,7,11,12,14],[1,6,7,8,9,10,13],[2,3,6,9,11,13,14],[2,3,7,9,10,11,12],[2,4,6,7,8,12,14],[2,4,6,8,11,13,14],[2,4,7,8,10,12,13],[2,5,6,7,9,10,13],[2,5,8,9,10,11,14],[3,4,5,7,9,13,14],[3,4,5,10,12,13,14],[3,4,7,8,9,11,12],[3,5,6,7,8,10,14],[3,5,6,8,11,12,13],[4,5,6,9,10,11,12]]; G[3888]:=Group([(1,5)(3,9)(4,8)(6,14)(7,12)]); # Design 3889: autom. group order 2, simple B[3889]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,10,12,13,14],[1,2,5,7,11,12,13],[1,2,5,8,9,12,14],[1,3,6,8,9,12,13],[1,3,7,8,10,13,14],[1,4,5,8,10,11,13],[1,4,6,9,10,12,14],[1,4,7,9,11,13,14],[1,5,6,7,11,12,14],[1,6,7,8,9,10,11],[2,3,6,9,11,13,14],[2,3,7,9,10,11,12],[2,4,6,7,8,12,14],[2,4,6,8,11,13,14],[2,4,7,8,10,12,13],[2,5,6,7,9,10,13],[2,5,8,9,10,11,14],[3,4,5,7,9,13,14],[3,4,5,10,11,12,14],[3,4,7,8,9,11,12],[3,5,6,7,8,10,14],[3,5,6,8,11,12,13],[4,5,6,9,10,12,13]]; G[3889]:=Group([(1,5)(3,9)(4,8)(6,14)(7,12)]); # Design 3890: autom. group order 2, simple B[3890]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,10,12,13,14],[1,2,5,7,11,12,13],[1,2,5,8,9,12,14],[1,3,6,8,9,12,13],[1,3,7,8,10,11,14],[1,4,5,8,10,11,13],[1,4,6,9,11,12,14],[1,4,7,9,10,13,14],[1,5,6,7,10,12,14],[1,6,7,8,9,11,13],[2,3,6,9,11,13,14],[2,3,7,9,10,11,12],[2,4,6,7,8,12,14],[2,4,6,8,10,13,14],[2,4,7,8,11,12,13],[2,5,6,7,9,10,13],[2,5,8,9,10,11,14],[3,4,5,7,9,13,14],[3,4,5,11,12,13,14],[3,4,7,8,9,10,12],[3,5,6,7,8,11,14],[3,5,6,8,10,12,13],[4,5,6,9,10,11,12]]; G[3890]:=Group([(1,5)(3,9)(4,8)(6,14)(7,12)]); # Design 3891: autom. group order 2, simple B[3891]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,10,12,13,14],[1,2,5,7,11,12,13],[1,2,5,8,9,12,14],[1,3,6,8,9,12,13],[1,3,7,8,10,11,14],[1,4,5,8,10,11,13],[1,4,6,9,11,12,14],[1,4,7,9,11,13,14],[1,5,6,7,10,12,14],[1,6,7,8,9,10,13],[2,3,6,9,11,13,14],[2,3,7,9,10,11,12],[2,4,6,7,8,12,14],[2,4,6,8,10,13,14],[2,4,7,8,11,12,13],[2,5,6,7,9,10,13],[2,5,8,9,10,11,14],[3,4,5,7,9,13,14],[3,4,5,10,12,13,14],[3,4,7,8,9,10,12],[3,5,6,7,8,11,14],[3,5,6,8,11,12,13],[4,5,6,9,10,11,12]]; G[3891]:=Group([(1,5)(3,9)(4,8)(6,14)(7,12)]); # Design 3892: autom. group order 2, simple B[3892]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,10,12,13,14],[1,2,5,7,11,12,13],[1,2,5,8,9,12,14],[1,3,6,8,9,12,13],[1,3,7,8,10,13,14],[1,4,5,8,10,11,13],[1,4,6,9,11,12,14],[1,4,7,9,11,13,14],[1,5,6,7,10,12,14],[1,6,7,8,9,10,11],[2,3,6,9,11,13,14],[2,3,7,9,10,11,12],[2,4,6,7,8,12,14],[2,4,6,8,10,13,14],[2,4,7,8,11,12,13],[2,5,6,7,9,10,13],[2,5,8,9,10,11,14],[3,4,5,7,9,13,14],[3,4,5,10,11,12,14],[3,4,7,8,9,10,12],[3,5,6,7,8,11,14],[3,5,6,8,11,12,13],[4,5,6,9,10,12,13]]; G[3892]:=Group([(1,5)(3,9)(4,8)(6,14)(7,12)]); # Design 3893: autom. group order 2, simple B[3893]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,10,12,13,14],[1,2,5,7,11,12,13],[1,2,5,8,9,12,14],[1,3,6,8,9,12,13],[1,3,7,8,11,13,14],[1,4,5,8,10,11,13],[1,4,6,9,10,12,14],[1,4,7,9,10,13,14],[1,5,6,7,11,12,14],[1,6,7,8,9,10,11],[2,3,6,9,11,13,14],[2,3,7,9,10,11,12],[2,4,6,7,8,12,14],[2,4,6,8,11,13,14],[2,4,7,8,10,12,13],[2,5,6,7,9,10,13],[2,5,8,9,10,11,14],[3,4,5,7,9,13,14],[3,4,5,10,11,12,14],[3,4,7,8,9,11,12],[3,5,6,7,8,10,14],[3,5,6,8,10,12,13],[4,5,6,9,11,12,13]]; G[3893]:=Group([(1,5)(3,9)(4,8)(6,14)(7,12)]); # Design 3894: autom. group order 2, simple B[3894]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,10,12,13,14],[1,2,5,7,12,13,14],[1,2,5,8,11,12,13],[1,3,6,9,11,12,14],[1,3,7,9,10,11,12],[1,4,5,8,9,10,14],[1,4,6,7,10,13,14],[1,4,7,8,9,12,14],[1,5,6,8,10,11,13],[1,6,7,8,9,11,13],[2,3,6,8,9,13,14],[2,3,7,8,9,10,13],[2,4,6,8,11,12,14],[2,4,7,8,10,11,12],[2,4,9,10,11,13,14],[2,5,6,7,9,10,12],[2,5,6,7,9,11,14],[3,4,5,7,11,13,14],[3,4,5,9,11,12,13],[3,4,6,7,8,12,13],[3,5,6,8,10,12,14],[3,5,7,8,10,11,14],[4,5,6,9,10,12,13]]; G[3894]:=Group([(2,8)(3,9)(6,14)(7,10)(11,12)]); # Design 3895: autom. group order 2, simple B[3895]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,9,12,13],[1,2,5,10,11,12,14],[1,3,7,8,10,13,14],[1,3,8,9,10,11,13],[1,4,5,7,11,12,13],[1,4,6,8,11,12,14],[1,4,6,9,10,13,14],[1,5,6,7,9,10,14],[1,6,7,8,9,11,12],[2,3,6,8,9,12,14],[2,3,6,10,11,12,13],[2,4,7,8,9,10,11],[2,4,7,8,10,12,14],[2,4,7,9,11,13,14],[2,5,6,7,8,10,13],[2,5,6,9,11,13,14],[3,4,5,8,11,13,14],[3,4,5,9,10,12,14],[3,4,6,7,9,12,13],[3,5,6,7,8,11,14],[3,5,7,9,10,11,12],[4,5,6,8,10,12,13]]; G[3895]:=Group([(1,3)(5,6)(8,10)(9,11)]); # Design 3896: autom. group order 2, simple B[3896]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,9,12,13],[1,2,5,10,11,12,14],[1,3,7,8,10,13,14],[1,3,8,9,10,11,14],[1,4,5,7,11,12,14],[1,4,6,8,11,12,13],[1,4,6,9,10,13,14],[1,5,6,7,9,10,13],[1,6,7,8,9,11,12],[2,3,6,8,9,12,14],[2,3,6,10,11,12,13],[2,4,7,8,9,10,11],[2,4,7,8,10,12,13],[2,4,7,9,11,13,14],[2,5,6,7,8,10,14],[2,5,6,9,11,13,14],[3,4,5,8,11,13,14],[3,4,5,9,10,12,13],[3,4,6,7,9,12,14],[3,5,6,7,8,11,13],[3,5,7,9,10,11,12],[4,5,6,8,10,12,14]]; G[3896]:=Group([(1,3)(5,6)(8,10)(9,11)]); # Design 3897: autom. group order 2, simple B[3897]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,9,12,13],[1,2,5,10,11,12,14],[1,3,7,8,10,13,14],[1,3,8,9,10,11,13],[1,4,5,7,11,12,13],[1,4,6,8,11,13,14],[1,4,6,9,10,12,14],[1,5,6,7,9,10,14],[1,6,7,8,9,11,12],[2,3,6,8,9,12,14],[2,3,6,10,11,12,13],[2,4,7,8,9,10,11],[2,4,7,8,10,12,14],[2,4,7,9,11,13,14],[2,5,6,7,8,10,13],[2,5,6,9,11,13,14],[3,4,5,8,11,12,14],[3,4,5,9,10,13,14],[3,4,6,7,9,12,13],[3,5,6,7,8,11,14],[3,5,7,9,10,11,12],[4,5,6,8,10,12,13]]; G[3897]:=Group([(1,3)(5,6)(8,10)(9,11)]); # Design 3898: autom. group order 2, simple B[3898]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,9,12,13],[1,2,5,10,11,12,14],[1,3,7,8,10,13,14],[1,3,8,9,10,11,14],[1,4,5,7,11,12,14],[1,4,6,8,11,13,14],[1,4,6,9,10,12,13],[1,5,6,7,9,10,13],[1,6,7,8,9,11,12],[2,3,6,8,9,12,14],[2,3,6,10,11,12,13],[2,4,7,8,9,10,11],[2,4,7,8,10,12,13],[2,4,7,9,11,13,14],[2,5,6,7,8,10,14],[2,5,6,9,11,13,14],[3,4,5,8,11,12,13],[3,4,5,9,10,13,14],[3,4,6,7,9,12,14],[3,5,6,7,8,11,13],[3,5,7,9,10,11,12],[4,5,6,8,10,12,14]]; G[3898]:=Group([(1,3)(5,6)(8,10)(9,11)]); # Design 3899: autom. group order 2, simple B[3899]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,5,9,11,12,14],[1,3,7,8,11,13,14],[1,3,8,9,10,11,13],[1,4,5,7,10,12,13],[1,4,6,8,9,12,14],[1,4,6,10,11,13,14],[1,5,6,7,9,11,14],[1,6,7,8,9,10,12],[2,3,6,8,10,12,14],[2,3,6,9,11,12,13],[2,4,7,8,9,10,11],[2,4,7,8,11,12,14],[2,4,7,9,10,13,14],[2,5,6,7,8,11,13],[2,5,6,9,10,13,14],[3,4,5,8,9,13,14],[3,4,5,10,11,12,14],[3,4,6,7,9,12,13],[3,5,6,7,8,10,14],[3,5,7,9,10,11,12],[4,5,6,8,11,12,13]]; G[3899]:=Group([(1,3)(5,6)(8,11)(9,10)]); # Design 3900: autom. group order 2, simple B[3900]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,5,9,11,12,14],[1,3,7,8,11,13,14],[1,3,8,9,10,11,14],[1,4,5,7,10,12,14],[1,4,6,8,9,12,13],[1,4,6,10,11,13,14],[1,5,6,7,9,11,13],[1,6,7,8,9,10,12],[2,3,6,8,10,12,14],[2,3,6,9,11,12,13],[2,4,7,8,9,10,11],[2,4,7,8,11,12,13],[2,4,7,9,10,13,14],[2,5,6,7,8,11,14],[2,5,6,9,10,13,14],[3,4,5,8,9,13,14],[3,4,5,10,11,12,13],[3,4,6,7,9,12,14],[3,5,6,7,8,10,13],[3,5,7,9,10,11,12],[4,5,6,8,11,12,14]]; G[3900]:=Group([(1,3)(5,6)(8,11)(9,10)]); # Design 3901: autom. group order 2, simple B[3901]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,5,9,11,12,14],[1,3,7,8,11,13,14],[1,3,8,9,10,11,13],[1,4,5,7,10,12,13],[1,4,6,8,9,13,14],[1,4,6,10,11,12,14],[1,5,6,7,9,11,14],[1,6,7,8,9,10,12],[2,3,6,8,10,12,14],[2,3,6,9,11,12,13],[2,4,7,8,9,10,11],[2,4,7,8,11,12,14],[2,4,7,9,10,13,14],[2,5,6,7,8,11,13],[2,5,6,9,10,13,14],[3,4,5,8,9,12,14],[3,4,5,10,11,13,14],[3,4,6,7,9,12,13],[3,5,6,7,8,10,14],[3,5,7,9,10,11,12],[4,5,6,8,11,12,13]]; G[3901]:=Group([(1,3)(5,6)(8,11)(9,10)]); # Design 3902: autom. group order 2, simple B[3902]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,5,9,11,12,14],[1,3,7,8,11,13,14],[1,3,8,9,10,11,14],[1,4,5,7,10,12,14],[1,4,6,8,9,13,14],[1,4,6,10,11,12,13],[1,5,6,7,9,11,13],[1,6,7,8,9,10,12],[2,3,6,8,10,12,14],[2,3,6,9,11,12,13],[2,4,7,8,9,10,11],[2,4,7,8,11,12,13],[2,4,7,9,10,13,14],[2,5,6,7,8,11,14],[2,5,6,9,10,13,14],[3,4,5,8,9,12,13],[3,4,5,10,11,13,14],[3,4,6,7,9,12,14],[3,5,6,7,8,10,13],[3,5,7,9,10,11,12],[4,5,6,8,11,12,14]]; G[3902]:=Group([(1,3)(5,6)(8,11)(9,10)]); # Design 3903: autom. group order 2, simple B[3903]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,5,10,11,12,14],[1,3,7,8,11,13,14],[1,3,8,9,10,11,13],[1,4,5,7,9,12,13],[1,4,6,8,9,12,14],[1,4,6,8,10,13,14],[1,5,6,7,9,11,14],[1,6,7,9,10,11,12],[2,3,6,8,9,12,14],[2,3,6,9,11,12,13],[2,4,7,8,9,10,11],[2,4,7,8,11,12,14],[2,4,7,9,10,13,14],[2,5,6,7,8,11,13],[2,5,6,9,10,13,14],[3,4,5,9,11,13,14],[3,4,5,10,11,12,14],[3,4,6,7,10,12,13],[3,5,6,7,8,10,14],[3,5,7,8,9,10,12],[4,5,6,8,11,12,13]]; G[3903]:=Group([(1,3)(5,6)(8,11)(9,10)]); # Design 3904: autom. group order 2, simple B[3904]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,5,10,11,12,14],[1,3,7,8,11,13,14],[1,3,8,9,10,11,14],[1,4,5,7,9,12,14],[1,4,6,8,9,12,13],[1,4,6,8,10,13,14],[1,5,6,7,9,11,13],[1,6,7,9,10,11,12],[2,3,6,8,9,12,14],[2,3,6,9,11,12,13],[2,4,7,8,9,10,11],[2,4,7,8,11,12,13],[2,4,7,9,10,13,14],[2,5,6,7,8,11,14],[2,5,6,9,10,13,14],[3,4,5,9,11,13,14],[3,4,5,10,11,12,13],[3,4,6,7,10,12,14],[3,5,6,7,8,10,13],[3,5,7,8,9,10,12],[4,5,6,8,11,12,14]]; G[3904]:=Group([(1,3)(5,6)(8,11)(9,10)]); # Design 3905: autom. group order 2, simple B[3905]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,5,10,11,12,14],[1,3,7,8,11,13,14],[1,3,8,9,10,11,13],[1,4,5,7,9,12,13],[1,4,6,8,9,13,14],[1,4,6,8,10,12,14],[1,5,6,7,9,11,14],[1,6,7,9,10,11,12],[2,3,6,8,9,12,14],[2,3,6,9,11,12,13],[2,4,7,8,9,10,11],[2,4,7,8,11,12,14],[2,4,7,9,10,13,14],[2,5,6,7,8,11,13],[2,5,6,9,10,13,14],[3,4,5,9,11,12,14],[3,4,5,10,11,13,14],[3,4,6,7,10,12,13],[3,5,6,7,8,10,14],[3,5,7,8,9,10,12],[4,5,6,8,11,12,13]]; G[3905]:=Group([(1,3)(5,6)(8,11)(9,10)]); # Design 3906: autom. group order 2, simple B[3906]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,5,10,11,12,14],[1,3,7,8,11,13,14],[1,3,8,9,10,11,14],[1,4,5,7,9,12,14],[1,4,6,8,9,13,14],[1,4,6,8,10,12,13],[1,5,6,7,9,11,13],[1,6,7,9,10,11,12],[2,3,6,8,9,12,14],[2,3,6,9,11,12,13],[2,4,7,8,9,10,11],[2,4,7,8,11,12,13],[2,4,7,9,10,13,14],[2,5,6,7,8,11,14],[2,5,6,9,10,13,14],[3,4,5,9,11,12,13],[3,4,5,10,11,13,14],[3,4,6,7,10,12,14],[3,5,6,7,8,10,13],[3,5,7,8,9,10,12],[4,5,6,8,11,12,14]]; G[3906]:=Group([(1,3)(5,6)(8,11)(9,10)]); # Design 3907: autom. group order 2, simple B[3907]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,5,10,11,12,14],[1,3,7,9,10,13,14],[1,3,8,9,10,11,14],[1,4,5,9,11,12,13],[1,4,6,7,11,12,14],[1,4,6,8,10,13,14],[1,5,6,7,8,9,13],[1,6,7,8,9,11,12],[2,3,6,8,9,12,14],[2,3,6,9,11,12,13],[2,4,7,8,9,10,11],[2,4,7,8,11,13,14],[2,4,7,9,10,12,13],[2,5,6,7,9,10,14],[2,5,6,8,11,13,14],[3,4,5,7,8,12,14],[3,4,5,9,11,13,14],[3,4,6,8,10,12,13],[3,5,6,7,10,11,13],[3,5,7,8,10,11,12],[4,5,6,9,10,12,14]]; G[3907]:=Group([(1,3)(5,6)(8,11)(9,10)]); # Design 3908: autom. group order 2, simple B[3908]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,5,10,11,12,14],[1,3,7,9,10,13,14],[1,3,8,9,10,11,14],[1,4,5,9,11,13,14],[1,4,6,7,11,12,14],[1,4,6,8,10,12,13],[1,5,6,7,8,9,13],[1,6,7,8,9,11,12],[2,3,6,8,9,12,14],[2,3,6,9,11,12,13],[2,4,7,8,9,10,11],[2,4,7,8,11,13,14],[2,4,7,9,10,12,13],[2,5,6,7,9,10,14],[2,5,6,8,11,13,14],[3,4,5,7,8,12,14],[3,4,5,9,11,12,13],[3,4,6,8,10,13,14],[3,5,6,7,10,11,13],[3,5,7,8,10,11,12],[4,5,6,9,10,12,14]]; G[3908]:=Group([(1,3)(5,6)(8,11)(9,10)]); # Design 3909: autom. group order 2, simple B[3909]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,5,10,11,12,14],[1,3,7,9,10,13,14],[1,3,8,9,10,11,13],[1,4,5,9,11,12,14],[1,4,6,7,8,12,13],[1,4,6,9,11,13,14],[1,5,6,7,8,9,14],[1,6,7,8,10,11,12],[2,3,6,8,9,12,14],[2,3,6,9,11,12,13],[2,4,7,8,9,10,11],[2,4,7,8,11,13,14],[2,4,7,9,10,12,14],[2,5,6,7,9,10,13],[2,5,6,8,11,13,14],[3,4,5,7,11,12,13],[3,4,5,8,10,13,14],[3,4,6,8,10,12,14],[3,5,6,7,10,11,14],[3,5,7,8,9,11,12],[4,5,6,9,10,12,13]]; G[3909]:=Group([(1,3)(5,6)(8,11)(9,10)]); # Design 3910: autom. group order 2, simple B[3910]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,5,10,11,12,14],[1,3,7,9,10,13,14],[1,3,8,9,10,11,14],[1,4,5,9,11,12,13],[1,4,6,7,8,12,14],[1,4,6,9,11,13,14],[1,5,6,7,8,9,13],[1,6,7,8,10,11,12],[2,3,6,8,9,12,14],[2,3,6,9,11,12,13],[2,4,7,8,9,10,11],[2,4,7,8,11,13,14],[2,4,7,9,10,12,13],[2,5,6,7,9,10,14],[2,5,6,8,11,13,14],[3,4,5,7,11,12,14],[3,4,5,8,10,13,14],[3,4,6,8,10,12,13],[3,5,6,7,10,11,13],[3,5,7,8,9,11,12],[4,5,6,9,10,12,14]]; G[3910]:=Group([(1,3)(5,6)(8,11)(9,10)]); # Design 3911: autom. group order 2, simple B[3911]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,5,10,11,12,14],[1,3,7,9,10,13,14],[1,3,8,9,10,11,13],[1,4,5,9,11,13,14],[1,4,6,7,8,12,13],[1,4,6,9,11,12,14],[1,5,6,7,8,9,14],[1,6,7,8,10,11,12],[2,3,6,8,9,12,14],[2,3,6,9,11,12,13],[2,4,7,8,9,10,11],[2,4,7,8,11,13,14],[2,4,7,9,10,12,14],[2,5,6,7,9,10,13],[2,5,6,8,11,13,14],[3,4,5,7,11,12,13],[3,4,5,8,10,12,14],[3,4,6,8,10,13,14],[3,5,6,7,10,11,14],[3,5,7,8,9,11,12],[4,5,6,9,10,12,13]]; G[3911]:=Group([(1,3)(5,6)(8,11)(9,10)]); # Design 3912: autom. group order 2, simple B[3912]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,5,10,11,12,14],[1,3,7,9,10,13,14],[1,3,8,9,10,11,14],[1,4,5,9,11,13,14],[1,4,6,7,8,12,14],[1,4,6,9,11,12,13],[1,5,6,7,8,9,13],[1,6,7,8,10,11,12],[2,3,6,8,9,12,14],[2,3,6,9,11,12,13],[2,4,7,8,9,10,11],[2,4,7,8,11,13,14],[2,4,7,9,10,12,13],[2,5,6,7,9,10,14],[2,5,6,8,11,13,14],[3,4,5,7,11,12,14],[3,4,5,8,10,12,13],[3,4,6,8,10,13,14],[3,5,6,7,10,11,13],[3,5,7,8,9,11,12],[4,5,6,9,10,12,14]]; G[3912]:=Group([(1,3)(5,6)(8,11)(9,10)]); # Design 3913: autom. group order 2, simple B[3913]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,5,9,11,12,14],[1,3,7,8,11,13,14],[1,3,8,9,10,11,13],[1,4,5,10,11,12,14],[1,4,6,7,10,12,13],[1,4,6,9,11,13,14],[1,5,6,7,8,9,14],[1,6,7,8,9,10,12],[2,3,6,8,10,12,14],[2,3,6,9,11,12,13],[2,4,7,8,9,10,11],[2,4,7,8,11,12,14],[2,4,7,9,10,13,14],[2,5,6,7,8,11,13],[2,5,6,9,10,13,14],[3,4,5,7,9,12,13],[3,4,5,8,10,13,14],[3,4,6,8,9,12,14],[3,5,6,7,10,11,14],[3,5,7,9,10,11,12],[4,5,6,8,11,12,13]]; G[3913]:=Group([(1,3)(5,6)(8,11)(9,10)]); # Design 3914: autom. group order 2, simple B[3914]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,5,9,11,12,14],[1,3,7,8,11,13,14],[1,3,8,9,10,11,13],[1,4,5,10,11,13,14],[1,4,6,7,10,12,13],[1,4,6,9,11,12,14],[1,5,6,7,8,9,14],[1,6,7,8,9,10,12],[2,3,6,8,10,12,14],[2,3,6,9,11,12,13],[2,4,7,8,9,10,11],[2,4,7,8,11,12,14],[2,4,7,9,10,13,14],[2,5,6,7,8,11,13],[2,5,6,9,10,13,14],[3,4,5,7,9,12,13],[3,4,5,8,10,12,14],[3,4,6,8,9,13,14],[3,5,6,7,10,11,14],[3,5,7,9,10,11,12],[4,5,6,8,11,12,13]]; G[3914]:=Group([(1,3)(5,6)(8,11)(9,10)]); # Design 3915: autom. group order 2, simple B[3915]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,5,10,11,12,14],[1,3,7,8,11,13,14],[1,3,8,9,10,11,13],[1,4,5,9,11,12,14],[1,4,6,7,10,12,13],[1,4,6,9,11,13,14],[1,5,6,7,8,9,14],[1,6,7,8,9,10,12],[2,3,6,8,9,12,14],[2,3,6,9,11,12,13],[2,4,7,8,9,10,11],[2,4,7,8,11,12,14],[2,4,7,9,10,13,14],[2,5,6,7,8,11,13],[2,5,6,9,10,13,14],[3,4,5,7,9,12,13],[3,4,5,8,10,13,14],[3,4,6,8,10,12,14],[3,5,6,7,10,11,14],[3,5,7,9,10,11,12],[4,5,6,8,11,12,13]]; G[3915]:=Group([(1,3)(5,6)(8,11)(9,10)]); # Design 3916: autom. group order 2, simple B[3916]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,5,10,11,12,14],[1,3,7,8,11,13,14],[1,3,8,9,10,11,14],[1,4,5,9,11,12,13],[1,4,6,7,10,12,14],[1,4,6,9,11,13,14],[1,5,6,7,8,9,13],[1,6,7,8,9,10,12],[2,3,6,8,9,12,14],[2,3,6,9,11,12,13],[2,4,7,8,9,10,11],[2,4,7,8,11,12,13],[2,4,7,9,10,13,14],[2,5,6,7,8,11,14],[2,5,6,9,10,13,14],[3,4,5,7,9,12,14],[3,4,5,8,10,13,14],[3,4,6,8,10,12,13],[3,5,6,7,10,11,13],[3,5,7,9,10,11,12],[4,5,6,8,11,12,14]]; G[3916]:=Group([(1,3)(5,6)(8,11)(9,10)]); # Design 3917: autom. group order 2, simple B[3917]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,5,10,11,12,14],[1,3,7,8,11,13,14],[1,3,8,9,10,11,13],[1,4,5,9,11,13,14],[1,4,6,7,10,12,13],[1,4,6,9,11,12,14],[1,5,6,7,8,9,14],[1,6,7,8,9,10,12],[2,3,6,8,9,12,14],[2,3,6,9,11,12,13],[2,4,7,8,9,10,11],[2,4,7,8,11,12,14],[2,4,7,9,10,13,14],[2,5,6,7,8,11,13],[2,5,6,9,10,13,14],[3,4,5,7,9,12,13],[3,4,5,8,10,12,14],[3,4,6,8,10,13,14],[3,5,6,7,10,11,14],[3,5,7,9,10,11,12],[4,5,6,8,11,12,13]]; G[3917]:=Group([(1,3)(5,6)(8,11)(9,10)]); # Design 3918: autom. group order 2, simple B[3918]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,5,10,11,12,14],[1,3,7,8,11,13,14],[1,3,8,9,10,11,14],[1,4,5,9,11,13,14],[1,4,6,7,10,12,14],[1,4,6,9,11,12,13],[1,5,6,7,8,9,13],[1,6,7,8,9,10,12],[2,3,6,8,9,12,14],[2,3,6,9,11,12,13],[2,4,7,8,9,10,11],[2,4,7,8,11,12,13],[2,4,7,9,10,13,14],[2,5,6,7,8,11,14],[2,5,6,9,10,13,14],[3,4,5,7,9,12,14],[3,4,5,8,10,12,13],[3,4,6,8,10,13,14],[3,5,6,7,10,11,13],[3,5,7,9,10,11,12],[4,5,6,8,11,12,14]]; G[3918]:=Group([(1,3)(5,6)(8,11)(9,10)]); # Design 3919: autom. group order 2, simple B[3919]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,5,9,11,12,14],[1,3,7,8,11,13,14],[1,3,8,9,10,11,13],[1,4,5,10,11,12,14],[1,4,6,7,9,12,13],[1,4,6,8,10,13,14],[1,5,6,7,8,9,14],[1,6,7,9,10,11,12],[2,3,6,8,10,12,14],[2,3,6,9,11,12,13],[2,4,7,8,9,10,11],[2,4,7,8,11,12,14],[2,4,7,9,10,13,14],[2,5,6,7,8,11,13],[2,5,6,9,10,13,14],[3,4,5,7,10,12,13],[3,4,5,9,11,13,14],[3,4,6,8,9,12,14],[3,5,6,7,10,11,14],[3,5,7,8,9,10,12],[4,5,6,8,11,12,13]]; G[3919]:=Group([(1,3)(5,6)(8,11)(9,10)]); # Design 3920: autom. group order 2, simple B[3920]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,5,9,11,12,14],[1,3,7,8,11,13,14],[1,3,8,9,10,11,14],[1,4,5,10,11,12,13],[1,4,6,7,9,12,14],[1,4,6,8,10,13,14],[1,5,6,7,8,9,13],[1,6,7,9,10,11,12],[2,3,6,8,10,12,14],[2,3,6,9,11,12,13],[2,4,7,8,9,10,11],[2,4,7,8,11,12,13],[2,4,7,9,10,13,14],[2,5,6,7,8,11,14],[2,5,6,9,10,13,14],[3,4,5,7,10,12,14],[3,4,5,9,11,13,14],[3,4,6,8,9,12,13],[3,5,6,7,10,11,13],[3,5,7,8,9,10,12],[4,5,6,8,11,12,14]]; G[3920]:=Group([(1,3)(5,6)(8,11)(9,10)]); # Design 3921: autom. group order 2, simple B[3921]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,5,9,11,12,14],[1,3,7,8,11,13,14],[1,3,8,9,10,11,13],[1,4,5,10,11,13,14],[1,4,6,7,9,12,13],[1,4,6,8,10,12,14],[1,5,6,7,8,9,14],[1,6,7,9,10,11,12],[2,3,6,8,10,12,14],[2,3,6,9,11,12,13],[2,4,7,8,9,10,11],[2,4,7,8,11,12,14],[2,4,7,9,10,13,14],[2,5,6,7,8,11,13],[2,5,6,9,10,13,14],[3,4,5,7,10,12,13],[3,4,5,9,11,12,14],[3,4,6,8,9,13,14],[3,5,6,7,10,11,14],[3,5,7,8,9,10,12],[4,5,6,8,11,12,13]]; G[3921]:=Group([(1,3)(5,6)(8,11)(9,10)]); # Design 3922: autom. group order 2, simple B[3922]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,5,9,11,12,14],[1,3,7,8,11,13,14],[1,3,8,9,10,11,14],[1,4,5,10,11,13,14],[1,4,6,7,9,12,14],[1,4,6,8,10,12,13],[1,5,6,7,8,9,13],[1,6,7,9,10,11,12],[2,3,6,8,10,12,14],[2,3,6,9,11,12,13],[2,4,7,8,9,10,11],[2,4,7,8,11,12,13],[2,4,7,9,10,13,14],[2,5,6,7,8,11,14],[2,5,6,9,10,13,14],[3,4,5,7,10,12,14],[3,4,5,9,11,12,13],[3,4,6,8,9,13,14],[3,5,6,7,10,11,13],[3,5,7,8,9,10,12],[4,5,6,8,11,12,14]]; G[3922]:=Group([(1,3)(5,6)(8,11)(9,10)]); # Design 3923: autom. group order 2, simple B[3923]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,5,10,11,12,14],[1,3,7,8,11,13,14],[1,3,8,9,10,11,13],[1,4,5,9,11,12,14],[1,4,6,7,9,12,13],[1,4,6,8,10,13,14],[1,5,6,7,8,9,14],[1,6,7,9,10,11,12],[2,3,6,8,9,12,14],[2,3,6,9,11,12,13],[2,4,7,8,9,10,11],[2,4,7,8,11,12,14],[2,4,7,9,10,13,14],[2,5,6,7,8,11,13],[2,5,6,9,10,13,14],[3,4,5,7,10,12,13],[3,4,5,9,11,13,14],[3,4,6,8,10,12,14],[3,5,6,7,10,11,14],[3,5,7,8,9,10,12],[4,5,6,8,11,12,13]]; G[3923]:=Group([(1,3)(5,6)(8,11)(9,10)]); # Design 3924: autom. group order 2, simple B[3924]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,5,10,11,12,14],[1,3,7,8,11,13,14],[1,3,8,9,10,11,14],[1,4,5,9,11,12,13],[1,4,6,7,9,12,14],[1,4,6,8,10,13,14],[1,5,6,7,8,9,13],[1,6,7,9,10,11,12],[2,3,6,8,9,12,14],[2,3,6,9,11,12,13],[2,4,7,8,9,10,11],[2,4,7,8,11,12,13],[2,4,7,9,10,13,14],[2,5,6,7,8,11,14],[2,5,6,9,10,13,14],[3,4,5,7,10,12,14],[3,4,5,9,11,13,14],[3,4,6,8,10,12,13],[3,5,6,7,10,11,13],[3,5,7,8,9,10,12],[4,5,6,8,11,12,14]]; G[3924]:=Group([(1,3)(5,6)(8,11)(9,10)]); # Design 3925: autom. group order 2, simple B[3925]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,5,10,11,12,14],[1,3,7,8,11,13,14],[1,3,8,9,10,11,13],[1,4,5,9,11,13,14],[1,4,6,7,9,12,13],[1,4,6,8,10,12,14],[1,5,6,7,8,9,14],[1,6,7,9,10,11,12],[2,3,6,8,9,12,14],[2,3,6,9,11,12,13],[2,4,7,8,9,10,11],[2,4,7,8,11,12,14],[2,4,7,9,10,13,14],[2,5,6,7,8,11,13],[2,5,6,9,10,13,14],[3,4,5,7,10,12,13],[3,4,5,9,11,12,14],[3,4,6,8,10,13,14],[3,5,6,7,10,11,14],[3,5,7,8,9,10,12],[4,5,6,8,11,12,13]]; G[3925]:=Group([(1,3)(5,6)(8,11)(9,10)]); # Design 3926: autom. group order 2, simple B[3926]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,5,10,11,12,14],[1,3,7,8,11,13,14],[1,3,8,9,10,11,14],[1,4,5,9,11,13,14],[1,4,6,7,9,12,14],[1,4,6,8,10,12,13],[1,5,6,7,8,9,13],[1,6,7,9,10,11,12],[2,3,6,8,9,12,14],[2,3,6,9,11,12,13],[2,4,7,8,9,10,11],[2,4,7,8,11,12,13],[2,4,7,9,10,13,14],[2,5,6,7,8,11,14],[2,5,6,9,10,13,14],[3,4,5,7,10,12,14],[3,4,5,9,11,12,13],[3,4,6,8,10,13,14],[3,5,6,7,10,11,13],[3,5,7,8,9,10,12],[4,5,6,8,11,12,14]]; G[3926]:=Group([(1,3)(5,6)(8,11)(9,10)]); # Design 3927: autom. group order 2, simple, residual B[3927]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,5,7,10,12,14],[1,3,6,7,9,12,14],[1,3,7,8,11,13,14],[1,4,5,9,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,9,10,11],[1,5,7,8,11,12,13],[1,6,8,9,10,12,13],[2,3,7,9,10,11,13],[2,3,8,9,10,12,14],[2,4,6,7,8,9,13],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,6,8,9,11,12],[2,5,7,9,10,13,14],[3,4,5,8,10,12,13],[3,4,5,9,11,13,14],[3,4,6,7,10,12,13],[3,5,6,7,9,11,12],[3,5,6,8,10,11,14],[4,5,6,7,8,10,14]]; G[3927]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 3928: autom. group order 2, simple B[3928]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,5,7,10,12,14],[1,3,6,7,9,11,12],[1,3,7,8,11,13,14],[1,4,5,9,12,13,14],[1,4,6,9,10,13,14],[1,4,7,8,9,10,11],[1,5,8,9,11,12,14],[1,6,7,8,10,12,13],[2,3,7,9,10,12,14],[2,3,9,10,11,13,14],[2,4,6,7,8,9,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,13],[2,5,6,8,11,12,14],[2,5,7,8,9,10,13],[3,4,5,7,11,13,14],[3,4,5,8,10,12,13],[3,4,6,8,10,12,14],[3,5,6,7,9,12,13],[3,5,6,8,9,10,11],[4,5,6,7,10,11,14]]; G[3928]:=Group([(1,11)(3,12)(5,13)(7,9)]); # Design 3929: autom. group order 2, simple, residual B[3929]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,5,7,10,12,14],[1,3,6,7,9,11,12],[1,3,7,8,11,13,14],[1,4,5,9,12,13,14],[1,4,6,9,10,13,14],[1,4,7,8,10,12,13],[1,5,8,9,11,12,14],[1,6,7,8,9,10,11],[2,3,7,9,10,12,14],[2,3,9,10,11,13,14],[2,4,6,7,8,9,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,13],[2,5,6,8,11,12,14],[2,5,7,8,9,10,13],[3,4,5,7,11,13,14],[3,4,5,8,9,10,11],[3,4,6,8,10,12,14],[3,5,6,7,9,12,13],[3,5,6,8,10,12,13],[4,5,6,7,10,11,14]]; G[3929]:=Group([(1,11)(3,12)(5,13)(7,9)]); # Design 3930: autom. group order 2, simple B[3930]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,11,12,13],[1,2,5,7,8,9,14],[1,3,6,7,8,10,11],[1,3,8,9,12,13,14],[1,4,5,10,12,13,14],[1,4,6,7,9,12,14],[1,4,7,8,11,12,13],[1,5,8,9,10,11,13],[1,6,7,9,10,11,14],[2,3,7,8,11,13,14],[2,3,7,9,10,12,13],[2,4,6,8,9,10,13],[2,4,6,9,11,13,14],[2,4,7,8,10,12,14],[2,5,6,8,11,12,14],[2,5,7,9,10,11,12],[3,4,5,7,11,13,14],[3,4,5,9,10,11,14],[3,4,6,8,9,11,12],[3,5,6,7,9,12,13],[3,5,6,8,10,12,14],[4,5,6,7,8,10,13]]; G[3930]:=Group([(1,12)(2,9)(4,13)(5,7)(8,10)(11,14)]); # Design 3931: autom. group order 2, simple B[3931]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,11,12,13],[1,2,5,7,8,11,14],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,9,10,12,14],[1,4,6,8,9,12,13],[1,4,7,8,10,11,13],[1,5,7,9,10,12,14],[1,6,7,8,9,10,11],[2,3,7,9,10,12,13],[2,3,8,9,10,11,14],[2,4,6,7,9,11,14],[2,4,6,8,10,12,14],[2,4,7,9,11,12,13],[2,5,6,8,9,10,13],[2,5,7,8,12,13,14],[3,4,5,7,8,10,13],[3,4,5,9,11,13,14],[3,4,6,7,8,12,14],[3,5,6,7,10,11,12],[3,5,6,8,9,11,12],[4,5,6,10,11,13,14]]; G[3931]:=Group([(1,12)(2,8)(3,6)(5,14)(9,10)(11,13)]); # Design 3932: autom. group order 2, simple B[3932]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,5,7,10,12,14],[1,3,6,8,9,12,14],[1,3,7,9,10,11,13],[1,4,5,7,9,13,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,13],[1,5,8,9,10,11,12],[1,6,7,8,9,10,14],[2,3,7,8,11,13,14],[2,3,7,9,11,12,14],[2,4,6,8,9,11,14],[2,4,6,9,10,12,13],[2,4,7,8,9,10,13],[2,5,6,7,9,11,12],[2,5,8,10,12,13,14],[3,4,5,8,10,11,14],[3,4,5,9,12,13,14],[3,4,6,7,8,10,12],[3,5,6,7,8,12,13],[3,5,6,9,10,11,13],[4,5,6,7,10,11,14]]; G[3932]:=Group([(2,11)(3,12)(5,13)(6,8)(9,14)]); # Design 3933: autom. group order 2, simple, residual B[3933]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,5,7,10,12,14],[1,3,6,8,9,12,14],[1,3,7,9,10,11,13],[1,4,5,7,9,13,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,13],[1,5,8,9,10,11,12],[1,6,7,8,9,10,14],[2,3,7,8,9,12,13],[2,3,7,8,11,13,14],[2,4,6,8,9,11,14],[2,4,6,9,10,12,13],[2,4,7,9,10,11,14],[2,5,6,7,9,11,12],[2,5,8,10,12,13,14],[3,4,5,8,10,11,14],[3,4,5,9,12,13,14],[3,4,6,7,8,10,12],[3,5,6,7,11,12,14],[3,5,6,9,10,11,13],[4,5,6,7,8,10,13]]; G[3933]:=Group([(2,11)(3,12)(5,13)(6,8)(9,14)]); # Design 3934: autom. group order 2, simple, residual B[3934]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,5,7,10,12,14],[1,3,6,8,9,12,14],[1,3,7,9,10,11,13],[1,4,5,7,9,13,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,14],[1,5,8,9,10,11,12],[1,6,7,8,9,10,13],[2,3,7,8,9,11,14],[2,3,7,8,12,13,14],[2,4,6,8,9,12,13],[2,4,6,9,10,11,14],[2,4,7,8,10,11,13],[2,5,6,7,9,11,12],[2,5,9,10,12,13,14],[3,4,5,8,10,12,13],[3,4,5,9,11,13,14],[3,4,6,7,9,10,12],[3,5,6,7,11,12,13],[3,5,6,8,10,11,14],[4,5,6,7,8,10,14]]; G[3934]:=Group([(2,12)(3,11)(5,14)(6,8)(9,13)]); # Design 3935: autom. group order 2, simple, residual B[3935]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,5,7,10,12,14],[1,3,6,8,9,12,14],[1,3,7,9,10,11,13],[1,4,5,7,9,13,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,13],[1,5,8,9,10,11,12],[1,6,7,8,9,10,14],[2,3,7,8,9,12,13],[2,3,7,8,11,13,14],[2,4,6,8,9,11,14],[2,4,6,9,10,12,13],[2,4,7,8,10,12,14],[2,5,6,7,9,11,12],[2,5,9,10,11,13,14],[3,4,5,8,10,11,14],[3,4,5,9,12,13,14],[3,4,6,7,9,10,11],[3,5,6,7,11,12,14],[3,5,6,8,10,12,13],[4,5,6,7,8,10,13]]; G[3935]:=Group([(2,11)(3,12)(5,13)(6,8)(9,14)]); # Design 3936: autom. group order 2, simple B[3936]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,5,9,10,12,14],[1,3,6,7,8,12,14],[1,3,7,9,10,11,13],[1,4,5,7,9,13,14],[1,4,6,9,11,12,13],[1,4,8,11,12,13,14],[1,5,7,8,10,11,12],[1,6,7,8,9,10,14],[2,3,7,8,9,11,13],[2,3,7,9,11,12,14],[2,4,6,7,8,11,14],[2,4,6,7,10,12,13],[2,4,8,9,10,13,14],[2,5,6,9,11,12,14],[2,5,7,8,10,12,13],[3,4,5,7,12,13,14],[3,4,5,8,10,11,14],[3,4,6,8,9,10,12],[3,5,6,8,9,12,13],[3,5,6,10,11,13,14],[4,5,6,7,9,10,11]]; G[3936]:=Group([(2,11)(3,12)(5,13)(6,8)(7,14)]); # Design 3937: autom. group order 2, simple, residual B[3937]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,5,9,10,12,14],[1,3,6,7,8,12,14],[1,3,7,9,10,11,13],[1,4,5,7,9,13,14],[1,4,6,9,11,12,13],[1,4,8,11,12,13,14],[1,5,7,8,10,11,12],[1,6,7,8,9,10,14],[2,3,7,8,9,11,13],[2,3,8,9,12,13,14],[2,4,6,7,8,11,14],[2,4,6,7,10,12,13],[2,4,7,9,10,11,14],[2,5,6,9,11,12,14],[2,5,7,8,10,12,13],[3,4,5,7,12,13,14],[3,4,5,8,10,11,14],[3,4,6,8,9,10,12],[3,5,6,7,9,11,12],[3,5,6,10,11,13,14],[4,5,6,8,9,10,13]]; G[3937]:=Group([(2,11)(3,12)(5,13)(6,8)(7,14)]); # Design 3938: autom. group order 2, simple, residual B[3938]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,5,9,10,12,14],[1,3,6,7,8,12,14],[1,3,7,9,10,11,13],[1,4,5,7,9,13,14],[1,4,6,9,11,12,13],[1,4,8,11,12,13,14],[1,5,7,8,10,11,12],[1,6,7,8,9,10,14],[2,3,7,8,9,11,13],[2,3,8,9,12,13,14],[2,4,6,7,8,11,14],[2,4,6,7,10,12,13],[2,4,7,8,9,10,12],[2,5,6,9,11,12,14],[2,5,7,10,11,13,14],[3,4,5,7,12,13,14],[3,4,5,8,10,11,14],[3,4,6,9,10,11,14],[3,5,6,7,9,11,12],[3,5,6,8,10,12,13],[4,5,6,8,9,10,13]]; G[3938]:=Group([(2,11)(3,12)(5,13)(6,8)(7,14)]); # Design 3939: autom. group order 2, simple, residual B[3939]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,5,9,10,12,14],[1,3,6,7,8,12,14],[1,3,7,9,10,11,13],[1,4,5,7,9,13,14],[1,4,6,9,11,12,14],[1,4,8,11,12,13,14],[1,5,7,8,10,11,12],[1,6,7,8,9,10,13],[2,3,7,8,9,12,14],[2,3,8,9,11,13,14],[2,4,6,7,8,12,13],[2,4,6,7,10,11,14],[2,4,7,8,9,10,11],[2,5,6,9,11,12,13],[2,5,7,10,12,13,14],[3,4,5,7,11,13,14],[3,4,5,8,10,12,13],[3,4,6,9,10,12,13],[3,5,6,7,9,11,12],[3,5,6,8,10,11,14],[4,5,6,8,9,10,14]]; G[3939]:=Group([(2,12)(3,11)(5,14)(6,8)(7,13)]); # Design 3940: autom. group order 2, simple B[3940]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,5,9,10,12,14],[1,3,6,7,9,11,12],[1,3,8,9,11,13,14],[1,4,5,7,12,13,14],[1,4,6,7,10,13,14],[1,4,7,8,9,10,11],[1,5,7,8,11,12,14],[1,6,8,9,10,12,13],[2,3,7,9,10,12,14],[2,3,7,10,11,13,14],[2,4,6,7,8,9,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,13],[2,5,6,8,11,12,14],[2,5,7,8,9,10,13],[3,4,5,8,10,12,13],[3,4,5,9,11,13,14],[3,4,6,8,10,12,14],[3,5,6,7,8,10,11],[3,5,6,7,9,12,13],[4,5,6,9,10,11,14]]; G[3940]:=Group([(1,11)(3,12)(5,13)(7,9)]); # Design 3941: autom. group order 2, simple, residual B[3941]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,5,9,10,12,14],[1,3,6,7,9,11,12],[1,3,8,9,11,13,14],[1,4,5,7,12,13,14],[1,4,6,7,10,13,14],[1,4,8,9,10,12,13],[1,5,7,8,11,12,14],[1,6,7,8,9,10,11],[2,3,7,9,10,12,14],[2,3,7,10,11,13,14],[2,4,6,7,8,9,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,13],[2,5,6,8,11,12,14],[2,5,7,8,9,10,13],[3,4,5,7,8,10,11],[3,4,5,9,11,13,14],[3,4,6,8,10,12,14],[3,5,6,7,9,12,13],[3,5,6,8,10,12,13],[4,5,6,9,10,11,14]]; G[3941]:=Group([(1,11)(3,12)(5,13)(7,9)]); # Design 3942: autom. group order 2, simple, residual B[3942]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,5,9,10,12,14],[1,3,6,7,9,12,13],[1,3,8,9,11,13,14],[1,4,5,7,11,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,11,14],[1,5,7,8,9,11,12],[1,6,7,8,10,12,13],[2,3,7,8,10,12,14],[2,3,7,9,10,11,13],[2,4,6,7,8,9,14],[2,4,6,11,12,13,14],[2,4,8,9,11,12,13],[2,5,6,7,8,11,12],[2,5,7,9,10,13,14],[3,4,5,7,12,13,14],[3,4,5,8,10,12,13],[3,4,6,7,9,10,11],[3,5,6,8,10,11,14],[3,5,6,9,11,12,14],[4,5,6,8,9,10,13]]; G[3942]:=Group([(1,11)(3,12)(5,13)(7,14)]); # Design 3943: autom. group order 2, simple B[3943]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,5,9,10,12,14],[1,3,6,7,9,12,13],[1,3,8,9,11,13,14],[1,4,5,7,11,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,12,13],[1,5,7,8,9,11,12],[1,6,7,8,10,11,14],[2,3,7,8,10,12,14],[2,3,7,9,10,11,13],[2,4,6,7,8,9,14],[2,4,6,11,12,13,14],[2,4,8,9,11,12,13],[2,5,6,7,8,11,12],[2,5,7,9,10,13,14],[3,4,5,7,12,13,14],[3,4,5,8,10,11,14],[3,4,6,7,9,10,11],[3,5,6,8,10,12,13],[3,5,6,9,11,12,14],[4,5,6,8,9,10,13]]; G[3943]:=Group([(1,11)(3,12)(5,13)(7,14)]); # Design 3944: autom. group order 2, simple, residual B[3944]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,5,9,10,12,14],[1,3,6,9,12,13,14],[1,3,7,8,9,11,13],[1,4,5,7,11,13,14],[1,4,6,7,9,10,12],[1,4,7,8,10,11,14],[1,5,8,9,11,12,14],[1,6,7,8,10,12,13],[2,3,7,8,10,12,14],[2,3,7,9,10,11,13],[2,4,6,7,8,9,14],[2,4,6,11,12,13,14],[2,4,8,9,11,12,13],[2,5,6,7,8,11,12],[2,5,7,9,10,13,14],[3,4,5,7,12,13,14],[3,4,5,8,10,12,13],[3,4,6,9,10,11,14],[3,5,6,7,9,11,12],[3,5,6,8,10,11,14],[4,5,6,8,9,10,13]]; G[3944]:=Group([(1,11)(3,12)(5,13)(7,14)]); # Design 3945: autom. group order 2, simple B[3945]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,5,9,10,12,14],[1,3,6,9,12,13,14],[1,3,7,8,9,11,13],[1,4,5,7,11,13,14],[1,4,6,7,9,10,12],[1,4,7,8,10,12,13],[1,5,8,9,11,12,14],[1,6,7,8,10,11,14],[2,3,7,8,10,12,14],[2,3,7,9,10,11,13],[2,4,6,7,8,9,14],[2,4,6,11,12,13,14],[2,4,8,9,11,12,13],[2,5,6,7,8,11,12],[2,5,7,9,10,13,14],[3,4,5,7,12,13,14],[3,4,5,8,10,11,14],[3,4,6,9,10,11,14],[3,5,6,7,9,11,12],[3,5,6,8,10,12,13],[4,5,6,8,9,10,13]]; G[3945]:=Group([(1,11)(3,12)(5,13)(7,14)]); # Design 3946: autom. group order 2, simple, residual B[3946]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,5,9,10,12,14],[1,3,6,9,12,13,14],[1,3,7,8,9,11,14],[1,4,5,7,12,13,14],[1,4,6,7,10,11,14],[1,4,8,9,10,11,13],[1,5,7,8,9,11,12],[1,6,7,8,10,12,13],[2,3,7,8,10,12,14],[2,3,7,9,10,11,13],[2,4,6,7,8,9,13],[2,4,6,9,11,12,14],[2,4,8,11,12,13,14],[2,5,6,7,8,11,12],[2,5,7,9,10,13,14],[3,4,5,7,11,13,14],[3,4,5,8,10,12,13],[3,4,6,7,9,10,12],[3,5,6,8,10,11,14],[3,5,6,9,11,12,13],[4,5,6,8,9,10,14]]; G[3946]:=Group([(1,12)(3,11)(5,14)(6,8)(7,13)]); # Design 3947: autom. group order 2, simple B[3947]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,7,12,14],[1,2,5,8,10,13,14],[1,3,7,8,12,13,14],[1,3,7,9,11,13,14],[1,4,5,9,11,13,14],[1,4,6,7,9,12,13],[1,4,6,8,9,10,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,9,10,11,14],[2,4,6,8,11,13,14],[2,4,7,8,11,12,14],[2,4,7,9,10,12,13],[2,5,6,9,11,12,14],[2,5,7,8,9,10,13],[3,4,5,8,11,12,13],[3,4,5,9,10,12,14],[3,4,6,7,8,10,14],[3,5,6,7,8,9,11],[3,5,6,10,12,13,14],[4,5,6,7,10,11,13]]; G[3947]:=Group([(2,10)(3,11)(4,12)(5,8)(7,9)]); # Design 3948: autom. group order 2, simple, residual B[3948]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,7,12,14],[1,2,5,8,10,13,14],[1,3,7,8,12,13,14],[1,3,7,9,11,13,14],[1,4,5,9,11,13,14],[1,4,6,7,9,12,13],[1,4,6,8,9,10,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,9,12,14],[2,3,7,9,10,11,14],[2,4,6,8,11,13,14],[2,4,7,8,11,12,13],[2,4,7,9,10,12,14],[2,5,6,9,11,12,13],[2,5,7,8,9,10,13],[3,4,5,8,11,12,14],[3,4,5,9,10,12,13],[3,4,6,7,8,10,13],[3,5,6,7,8,9,11],[3,5,6,10,12,13,14],[4,5,6,7,10,11,14]]; G[3948]:=Group([(2,10)(3,11)(4,12)(5,8)(7,9)]); # Design 3949: autom. group order 2, simple B[3949]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,7,12,14],[1,2,5,8,10,13,14],[1,3,7,8,12,13,14],[1,3,7,9,11,13,14],[1,4,5,9,11,13,14],[1,4,6,7,9,12,13],[1,4,6,8,9,10,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,9,12,14],[2,3,7,9,10,11,14],[2,4,6,8,11,13,14],[2,4,7,8,11,12,14],[2,4,7,9,10,12,13],[2,5,6,9,11,12,13],[2,5,7,8,9,10,13],[3,4,5,8,11,12,13],[3,4,5,9,10,12,14],[3,4,6,7,8,10,13],[3,5,6,7,8,9,11],[3,5,6,10,12,13,14],[4,5,6,7,10,11,14]]; G[3949]:=Group([(2,10)(3,11)(4,12)(5,8)(7,9)]); # Design 3950: autom. group order 2, simple, residual B[3950]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,5,7,10,12,14],[1,3,7,8,11,13,14],[1,3,7,9,10,11,12],[1,4,5,9,12,13,14],[1,4,6,7,8,9,11],[1,4,6,9,10,13,14],[1,5,8,9,11,12,14],[1,6,7,8,10,12,13],[2,3,6,7,9,12,14],[2,3,9,10,11,13,14],[2,4,6,9,11,12,13],[2,4,7,8,9,10,14],[2,4,7,8,11,12,13],[2,5,6,8,11,12,14],[2,5,7,8,9,10,13],[3,4,5,7,11,13,14],[3,4,5,8,10,12,13],[3,4,6,8,10,12,14],[3,5,6,7,9,12,13],[3,5,6,8,9,10,11],[4,5,6,7,10,11,14]]; G[3950]:=Group([(1,11)(3,12)(5,13)(7,9)]); # Design 3951: autom. group order 2, simple, residual B[3951]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,5,9,12,13,14],[1,3,7,8,12,13,14],[1,3,7,9,10,11,14],[1,4,5,7,9,10,12],[1,4,6,7,11,12,13],[1,4,6,8,9,11,14],[1,5,7,8,10,11,14],[1,6,8,9,10,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,6,7,8,10,14],[2,4,7,8,10,12,13],[2,4,8,9,11,12,14],[2,5,6,10,11,12,14],[2,5,7,9,10,11,13],[3,4,5,8,10,13,14],[3,4,5,11,12,13,14],[3,4,6,9,10,11,13],[3,5,6,7,8,11,12],[3,5,6,8,9,10,12],[4,5,6,7,9,13,14]]; G[3951]:=Group([(1,13)(2,14)(3,5)(6,12)(7,11)(9,10)]); # Design 3952: autom. group order 2, simple, residual B[3952]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,9,10,13],[1,2,5,11,12,13,14],[1,3,7,8,9,10,14],[1,3,7,9,11,13,14],[1,4,5,7,8,11,12],[1,4,6,7,10,11,13],[1,4,6,9,10,12,14],[1,5,7,8,10,12,14],[1,6,8,9,11,12,13],[2,3,6,7,11,12,14],[2,3,7,8,10,12,13],[2,4,6,7,9,12,14],[2,4,7,8,9,11,13],[2,4,8,9,10,11,14],[2,5,6,8,10,11,14],[2,5,7,9,10,12,13],[3,4,5,9,12,13,14],[3,4,5,10,11,13,14],[3,4,6,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,9,11,12],[4,5,6,7,8,13,14]]; G[3952]:=Group([(1,13)(2,14)(3,5)(6,11)(7,10)(8,12)]); # Design 3953: autom. group order 2, simple, residual B[3953]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,9,13,14],[1,2,5,11,12,13,14],[1,3,7,8,11,13,14],[1,3,7,9,10,12,14],[1,4,5,7,9,11,12],[1,4,6,7,10,11,13],[1,4,6,8,10,12,14],[1,5,7,8,9,10,14],[1,6,8,9,11,12,13],[2,3,6,9,11,12,14],[2,3,7,9,10,12,13],[2,4,6,7,8,12,14],[2,4,7,8,9,11,13],[2,4,8,9,10,11,14],[2,5,6,7,10,11,14],[2,5,7,8,10,12,13],[3,4,5,8,12,13,14],[3,4,5,10,11,13,14],[3,4,6,7,9,13,14],[3,5,6,7,8,11,12],[3,5,6,8,9,10,11],[4,5,6,9,10,12,13]]; G[3953]:=Group([(1,13)(2,14)(6,11)(7,10)(9,12)]); # Design 3954: autom. group order 2, simple, residual B[3954]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,11,13,14],[1,2,5,9,12,13,14],[1,3,7,8,12,13,14],[1,3,7,9,10,11,14],[1,4,5,7,9,11,12],[1,4,6,7,10,12,13],[1,4,6,8,9,10,14],[1,5,7,8,10,11,14],[1,6,8,9,11,12,13],[2,3,6,9,11,12,14],[2,3,7,9,10,11,13],[2,4,6,7,8,11,14],[2,4,7,8,11,12,13],[2,4,8,9,10,12,14],[2,5,6,7,10,12,14],[2,5,7,8,9,10,13],[3,4,5,8,11,13,14],[3,4,5,10,12,13,14],[3,4,6,7,9,13,14],[3,5,6,7,8,9,12],[3,5,6,8,10,11,12],[4,5,6,9,10,11,13]]; G[3954]:=Group([(1,13)(2,14)(6,12)(7,10)(9,11)]); # Design 3955: autom. group order 2, simple B[3955]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,5,9,10,13,14],[1,3,7,8,11,13,14],[1,3,7,9,12,13,14],[1,4,5,8,11,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,10,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,9,12,13,14],[2,3,7,8,10,11,14],[2,4,6,7,9,11,13],[2,4,7,8,10,12,13],[2,4,8,9,11,12,14],[2,5,6,7,11,12,14],[2,5,7,8,9,10,13],[3,4,5,7,10,12,14],[3,4,5,9,11,12,13],[3,4,6,8,9,10,14],[3,5,6,7,8,9,11],[3,5,6,8,10,12,13],[4,5,6,10,11,13,14]]; G[3955]:=Group([(2,10)(3,11)(4,12)(5,9)(7,8)]); # Design 3956: autom. group order 2, simple B[3956]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,5,9,10,13,14],[1,3,7,8,11,13,14],[1,3,7,9,12,13,14],[1,4,5,8,11,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,10,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,9,12,13,14],[2,3,7,8,10,11,14],[2,4,6,7,9,11,14],[2,4,7,8,10,12,13],[2,4,8,9,11,12,14],[2,5,6,7,11,12,13],[2,5,7,8,9,10,13],[3,4,5,7,10,12,14],[3,4,5,9,11,12,13],[3,4,6,8,9,10,13],[3,5,6,7,8,9,11],[3,5,6,8,10,12,14],[4,5,6,10,11,13,14]]; G[3956]:=Group([(2,10)(3,11)(4,12)(5,9)(7,8)]); # Design 3957: autom. group order 2, simple, residual B[3957]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,5,9,10,13,14],[1,3,7,8,11,13,14],[1,3,7,9,12,13,14],[1,4,5,8,11,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,10,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,9,12,13,14],[2,3,7,8,10,11,14],[2,4,6,7,9,11,14],[2,4,7,8,10,12,14],[2,4,8,9,11,12,13],[2,5,6,7,11,12,13],[2,5,7,8,9,10,13],[3,4,5,7,10,12,13],[3,4,5,9,11,12,14],[3,4,6,8,9,10,13],[3,5,6,7,8,9,11],[3,5,6,8,10,12,14],[4,5,6,10,11,13,14]]; G[3957]:=Group([(2,10)(3,11)(4,12)(5,9)(7,8)]); # Design 3958: autom. group order 2, simple B[3958]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,5,9,10,13,14],[1,3,7,8,11,13,14],[1,3,8,9,12,13,14],[1,4,5,7,11,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,10,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,7,9,12,13],[2,3,7,8,10,11,14],[2,4,6,8,9,11,14],[2,4,7,8,10,12,13],[2,4,7,9,11,12,14],[2,5,6,11,12,13,14],[2,5,7,8,9,10,13],[3,4,5,8,10,12,14],[3,4,5,9,11,12,13],[3,4,6,9,10,13,14],[3,5,6,7,8,9,11],[3,5,6,7,10,12,14],[4,5,6,8,10,11,13]]; G[3958]:=Group([(2,10)(3,11)(4,12)(5,9)(7,8)]); # Design 3959: autom. group order 2, simple, residual B[3959]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,5,9,10,13,14],[1,3,7,8,11,13,14],[1,3,8,9,12,13,14],[1,4,5,7,11,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,10,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,7,9,12,13],[2,3,7,8,10,11,14],[2,4,6,8,9,11,14],[2,4,7,8,10,12,14],[2,4,7,9,11,12,13],[2,5,6,11,12,13,14],[2,5,7,8,9,10,13],[3,4,5,8,10,12,13],[3,4,5,9,11,12,14],[3,4,6,9,10,13,14],[3,5,6,7,8,9,11],[3,5,6,7,10,12,14],[4,5,6,8,10,11,13]]; G[3959]:=Group([(2,10)(3,11)(4,12)(5,9)(7,8)]); # Design 3960: autom. group order 2, simple B[3960]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,5,9,10,13,14],[1,3,7,8,11,13,14],[1,3,8,9,12,13,14],[1,4,5,7,11,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,10,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,7,9,12,14],[2,3,7,8,10,11,14],[2,4,6,8,9,11,13],[2,4,7,8,10,12,13],[2,4,7,9,11,12,14],[2,5,6,11,12,13,14],[2,5,7,8,9,10,13],[3,4,5,8,10,12,14],[3,4,5,9,11,12,13],[3,4,6,9,10,13,14],[3,5,6,7,8,9,11],[3,5,6,7,10,12,13],[4,5,6,8,10,11,14]]; G[3960]:=Group([(2,10)(3,11)(4,12)(5,9)(7,8)]); # Design 3961: autom. group order 2, simple, residual B[3961]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,5,9,10,13,14],[1,3,7,8,11,13,14],[1,3,8,9,12,13,14],[1,4,5,7,11,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,10,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,7,9,12,14],[2,3,7,8,10,11,14],[2,4,6,8,9,11,13],[2,4,7,8,10,12,14],[2,4,7,9,11,12,13],[2,5,6,11,12,13,14],[2,5,7,8,9,10,13],[3,4,5,8,10,12,13],[3,4,5,9,11,12,14],[3,4,6,9,10,13,14],[3,5,6,7,8,9,11],[3,5,6,7,10,12,13],[4,5,6,8,10,11,14]]; G[3961]:=Group([(2,10)(3,11)(4,12)(5,9)(7,8)]); # Design 3962: autom. group order 2, simple, residual B[3962]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,5,9,10,12,14],[1,3,7,9,10,11,12],[1,3,8,9,11,13,14],[1,4,5,7,12,13,14],[1,4,6,7,8,9,11],[1,4,6,7,10,13,14],[1,5,7,8,11,12,14],[1,6,8,9,10,12,13],[2,3,6,7,9,12,14],[2,3,7,10,11,13,14],[2,4,6,9,11,12,13],[2,4,7,8,9,10,14],[2,4,7,8,11,12,13],[2,5,6,8,11,12,14],[2,5,7,8,9,10,13],[3,4,5,8,10,12,13],[3,4,5,9,11,13,14],[3,4,6,8,10,12,14],[3,5,6,7,8,10,11],[3,5,6,7,9,12,13],[4,5,6,9,10,11,14]]; G[3962]:=Group([(1,11)(3,12)(5,13)(7,9)]); # Design 3963: autom. group order 2, simple, residual B[3963]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,6,10,11,13],[1,2,5,8,9,12,14],[1,3,7,8,10,12,13],[1,3,8,9,11,13,14],[1,4,5,8,10,13,14],[1,4,6,9,10,12,14],[1,4,7,9,11,12,13],[1,5,6,7,11,12,14],[1,6,7,8,9,10,11],[2,3,6,8,9,11,12],[2,3,7,9,10,13,14],[2,4,6,8,10,12,13],[2,4,6,9,11,13,14],[2,4,7,8,10,11,14],[2,5,7,8,11,12,13],[2,5,7,9,10,12,14],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,8,12,14],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13],[4,5,6,7,8,9,13]]; G[3963]:=Group([(1,14)(3,7)(4,10)(5,9)(6,13)(8,12)]); # Design 3964: autom. group order 2, simple, residual B[3964]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,7,10,13],[1,2,5,9,11,12,14],[1,3,7,8,10,11,14],[1,3,7,9,10,12,13],[1,4,5,10,12,13,14],[1,4,6,9,11,13,14],[1,4,7,8,11,13,14],[1,5,6,8,9,11,12],[1,6,7,8,9,10,12],[2,3,6,7,11,12,14],[2,3,8,9,10,11,13],[2,4,6,8,9,10,14],[2,4,6,10,11,12,13],[2,4,7,8,9,12,13],[2,5,7,8,12,13,14],[2,5,7,9,10,11,14],[3,4,5,7,9,11,13],[3,4,5,8,10,12,14],[3,4,6,7,9,12,14],[3,5,6,8,11,12,13],[3,5,6,9,10,13,14],[4,5,6,7,8,10,11]]; G[3964]:=Group([(2,14)(3,13)(5,11)(6,8)]); # Design 3965: autom. group order 2, simple, residual B[3965]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,5,7,10,12,14],[1,3,7,8,9,12,14],[1,3,7,9,10,11,13],[1,4,5,7,9,13,14],[1,4,6,11,12,13,14],[1,4,8,10,12,13,14],[1,5,6,8,9,11,12],[1,6,7,8,9,10,11],[2,3,6,9,10,12,14],[2,3,7,8,11,12,13],[2,4,6,7,9,12,13],[2,4,6,8,9,11,14],[2,4,7,9,10,11,14],[2,5,7,8,11,13,14],[2,5,8,9,10,12,13],[3,4,5,8,10,11,14],[3,4,5,9,11,12,13],[3,4,6,7,8,10,13],[3,5,6,7,11,12,14],[3,5,6,9,10,13,14],[4,5,6,7,8,10,12]]; G[3965]:=Group([(2,14)(3,13)(5,12)(6,8)(7,10)(9,11)]); # Design 3966: autom. group order 2, simple, residual B[3966]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,5,7,10,12,14],[1,3,7,8,9,11,14],[1,3,7,8,12,13,14],[1,4,5,9,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,10,11,13],[1,5,6,7,9,11,12],[1,6,8,9,10,12,13],[2,3,6,8,9,12,14],[2,3,7,9,10,11,13],[2,4,6,7,8,9,13],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,7,9,10,13,14],[2,5,8,9,10,11,12],[3,4,5,8,10,12,13],[3,4,5,9,11,13,14],[3,4,6,7,9,10,12],[3,5,6,7,11,12,13],[3,5,6,8,10,11,14],[4,5,6,7,8,10,14]]; G[3966]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 3967: autom. group order 2, simple B[3967]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,5,7,10,12,14],[1,3,7,8,9,12,13],[1,3,7,8,11,13,14],[1,4,5,9,11,13,14],[1,4,6,9,10,12,13],[1,4,7,8,10,12,14],[1,5,6,7,9,11,12],[1,6,8,9,10,11,14],[2,3,6,8,9,12,14],[2,3,7,9,10,11,13],[2,4,6,7,8,9,14],[2,4,6,11,12,13,14],[2,4,7,8,11,12,13],[2,5,7,9,10,13,14],[2,5,8,9,10,11,12],[3,4,5,8,10,11,14],[3,4,5,9,12,13,14],[3,4,6,7,9,10,11],[3,5,6,7,11,12,14],[3,5,6,8,10,12,13],[4,5,6,7,8,10,13]]; G[3967]:=Group([(1,11)(3,12)(5,13)(6,8)(9,14)]); # Design 3968: autom. group order 2, simple, residual B[3968]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,5,7,10,12,14],[1,3,7,9,10,11,13],[1,3,8,9,10,12,14],[1,4,5,7,9,13,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,14],[1,5,6,8,9,11,12],[1,6,7,8,9,10,13],[2,3,6,7,9,12,14],[2,3,7,9,11,12,13],[2,4,6,8,9,12,13],[2,4,6,9,10,11,14],[2,4,7,8,10,13,14],[2,5,7,8,11,12,13],[2,5,8,9,10,11,14],[3,4,5,8,10,12,13],[3,4,5,9,11,13,14],[3,4,6,7,8,10,11],[3,5,6,7,8,11,14],[3,5,6,10,12,13,14],[4,5,6,7,9,10,12]]; G[3968]:=Group([(2,12)(3,11)(5,14)(6,8)(9,13)]); # Design 3969: autom. group order 2, simple, residual B[3969]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,5,7,10,12,14],[1,3,7,9,10,11,13],[1,3,8,9,10,12,14],[1,4,5,7,9,13,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,14],[1,5,6,8,9,11,12],[1,6,7,8,9,10,13],[2,3,6,7,9,12,14],[2,3,7,8,11,13,14],[2,4,6,8,9,12,13],[2,4,6,9,10,11,14],[2,4,7,8,9,10,11],[2,5,7,8,11,12,13],[2,5,9,10,12,13,14],[3,4,5,8,10,12,13],[3,4,5,9,11,13,14],[3,4,6,7,10,12,13],[3,5,6,7,9,11,12],[3,5,6,8,10,11,14],[4,5,6,7,8,10,14]]; G[3969]:=Group([(2,12)(3,11)(5,14)(6,8)(9,13)]); # Design 3970: autom. group order 2, simple, residual B[3970]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,9,10,13],[1,2,5,7,11,12,14],[1,3,7,9,10,11,13],[1,3,8,9,10,12,14],[1,4,5,10,11,13,14],[1,4,6,9,12,13,14],[1,4,7,8,12,13,14],[1,5,6,7,8,11,12],[1,6,7,8,9,10,11],[2,3,6,9,11,12,14],[2,3,7,8,10,12,13],[2,4,6,7,8,10,14],[2,4,6,10,11,12,13],[2,4,7,8,9,11,13],[2,5,7,9,10,12,14],[2,5,8,9,11,13,14],[3,4,5,7,9,12,13],[3,4,5,8,10,11,14],[3,4,6,7,9,11,14],[3,5,6,7,10,13,14],[3,5,6,8,11,12,13],[4,5,6,8,9,10,12]]; G[3970]:=Group([(2,14)(3,13)(5,12)(6,8)]); # Design 3971: autom. group order 2, simple, residual B[3971]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,5,9,10,12,14],[1,3,7,8,10,12,14],[1,3,7,9,10,11,13],[1,4,5,7,9,13,14],[1,4,6,11,12,13,14],[1,4,8,9,11,12,13],[1,5,6,7,8,11,12],[1,6,7,8,9,10,14],[2,3,6,7,9,12,13],[2,3,8,9,11,13,14],[2,4,6,7,8,11,14],[2,4,6,9,10,12,14],[2,4,7,8,10,12,13],[2,5,7,8,9,11,12],[2,5,7,10,11,13,14],[3,4,5,7,12,13,14],[3,4,5,8,10,11,14],[3,4,6,7,9,10,11],[3,5,6,8,10,12,13],[3,5,6,9,11,12,14],[4,5,6,8,9,10,13]]; G[3971]:=Group([(2,11)(3,12)(5,13)(7,14)]); # Design 3972: autom. group order 2, simple, residual B[3972]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,5,9,10,12,14],[1,3,7,8,10,12,14],[1,3,7,9,10,11,13],[1,4,5,7,9,13,14],[1,4,6,9,11,12,14],[1,4,8,11,12,13,14],[1,5,6,7,8,11,12],[1,6,7,8,9,10,13],[2,3,6,9,12,13,14],[2,3,7,9,11,12,13],[2,4,6,7,8,12,13],[2,4,6,7,10,11,14],[2,4,7,8,9,10,14],[2,5,7,8,9,11,12],[2,5,8,10,11,13,14],[3,4,5,7,11,13,14],[3,4,5,8,10,12,13],[3,4,6,8,9,10,11],[3,5,6,7,10,12,14],[3,5,6,8,9,11,14],[4,5,6,9,10,12,13]]; G[3972]:=Group([(2,12)(3,11)(5,14)(6,8)(7,13)]); # Design 3973: autom. group order 2, simple, residual B[3973]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,5,9,10,12,14],[1,3,7,8,9,12,14],[1,3,7,9,10,11,13],[1,4,5,7,9,13,14],[1,4,6,10,12,13,14],[1,4,8,11,12,13,14],[1,5,6,7,8,11,12],[1,6,7,8,9,10,11],[2,3,6,9,11,12,14],[2,3,7,8,10,12,13],[2,4,6,7,8,11,14],[2,4,6,7,9,12,13],[2,4,7,9,10,11,14],[2,5,7,8,10,13,14],[2,5,8,9,11,12,13],[3,4,5,7,11,12,13],[3,4,5,8,10,11,14],[3,4,6,8,9,10,13],[3,5,6,7,10,12,14],[3,5,6,9,11,13,14],[4,5,6,8,9,10,12]]; G[3973]:=Group([(2,14)(3,13)(5,12)(6,8)(7,11)(9,10)]); # Design 3974: autom. group order 2, simple, residual B[3974]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,5,9,10,12,14],[1,3,7,8,10,12,14],[1,3,7,9,10,11,13],[1,4,5,7,9,13,14],[1,4,6,11,12,13,14],[1,4,8,9,11,12,13],[1,5,6,7,8,11,12],[1,6,7,8,9,10,14],[2,3,6,9,12,13,14],[2,3,7,8,9,11,13],[2,4,6,7,8,11,14],[2,4,6,7,9,10,12],[2,4,7,8,10,12,13],[2,5,7,10,11,13,14],[2,5,8,9,11,12,14],[3,4,5,7,12,13,14],[3,4,5,8,10,11,14],[3,4,6,9,10,11,14],[3,5,6,7,9,11,12],[3,5,6,8,10,12,13],[4,5,6,8,9,10,13]]; G[3974]:=Group([(2,11)(3,12)(5,13)(7,14)]); # Design 3975: autom. group order 2, simple, residual B[3975]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,5,9,10,12,14],[1,3,7,8,10,12,14],[1,3,7,9,10,11,13],[1,4,5,7,9,13,14],[1,4,6,9,11,12,14],[1,4,8,11,12,13,14],[1,5,6,7,8,11,12],[1,6,7,8,9,10,13],[2,3,6,9,12,13,14],[2,3,7,8,9,11,14],[2,4,6,7,8,12,13],[2,4,6,7,10,11,14],[2,4,8,9,10,11,13],[2,5,7,8,9,11,12],[2,5,7,10,12,13,14],[3,4,5,7,11,13,14],[3,4,5,8,10,12,13],[3,4,6,7,9,10,12],[3,5,6,8,10,11,14],[3,5,6,9,11,12,13],[4,5,6,8,9,10,14]]; G[3975]:=Group([(2,12)(3,11)(5,14)(6,8)(7,13)]); # Design 3976: autom. group order 2, simple B[3976]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,5,9,10,12,14],[1,3,7,8,9,11,13],[1,3,8,9,12,13,14],[1,4,5,7,11,13,14],[1,4,6,7,10,12,13],[1,4,7,8,9,10,12],[1,5,6,9,11,12,14],[1,6,7,8,10,11,14],[2,3,6,7,8,12,14],[2,3,7,9,10,11,13],[2,4,6,7,8,9,14],[2,4,6,9,11,12,13],[2,4,8,11,12,13,14],[2,5,7,8,10,11,12],[2,5,7,9,10,13,14],[3,4,5,7,12,13,14],[3,4,5,8,10,11,14],[3,4,6,9,10,11,14],[3,5,6,7,9,11,12],[3,5,6,8,10,12,13],[4,5,6,8,9,10,13]]; G[3976]:=Group([(1,11)(3,12)(5,13)(6,8)(7,14)]); # Design 3977: autom. group order 2, simple, residual B[3977]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,5,9,10,12,14],[1,3,7,8,9,12,14],[1,3,8,9,11,13,14],[1,4,5,7,12,13,14],[1,4,6,7,10,11,14],[1,4,7,8,9,10,11],[1,5,6,9,11,12,13],[1,6,7,8,10,12,13],[2,3,6,7,8,12,14],[2,3,7,9,10,11,13],[2,4,6,7,8,9,13],[2,4,6,9,11,12,14],[2,4,8,11,12,13,14],[2,5,7,8,10,11,12],[2,5,7,9,10,13,14],[3,4,5,7,11,13,14],[3,4,5,8,10,12,13],[3,4,6,9,10,12,13],[3,5,6,7,9,11,12],[3,5,6,8,10,11,14],[4,5,6,8,9,10,14]]; G[3977]:=Group([(1,12)(3,11)(5,14)(6,8)(7,13)]); # Design 3978: autom. group order 2, simple B[3978]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,5,9,12,13,14],[1,3,6,7,8,12,14],[1,3,6,9,11,13,14],[1,4,5,8,11,13,14],[1,4,6,7,9,10,14],[1,4,6,8,9,12,13],[1,5,7,10,11,12,13],[1,7,8,9,10,11,12],[2,3,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,6,7,11,12,14],[2,4,6,8,10,12,13],[2,4,7,9,11,13,14],[2,5,6,7,9,10,13],[2,5,6,8,11,12,14],[3,4,5,7,9,11,12],[3,4,5,10,12,13,14],[3,4,7,8,10,13,14],[3,5,6,7,8,11,13],[3,5,6,9,10,12,14],[4,5,6,8,9,10,11]]; G[3978]:=Group([(2,10)(3,11)(4,12)(5,7)(6,13)]); # Design 3979: autom. group order 2, simple B[3979]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,5,9,12,13,14],[1,3,6,7,8,12,14],[1,3,6,9,11,13,14],[1,4,5,8,11,13,14],[1,4,6,7,9,10,14],[1,4,6,8,9,12,13],[1,5,7,10,11,12,13],[1,7,8,9,10,11,12],[2,3,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,6,7,11,12,14],[2,4,6,8,10,12,13],[2,4,7,9,11,13,14],[2,5,6,7,9,10,13],[2,5,6,8,9,11,12],[3,4,5,7,9,11,12],[3,4,5,10,12,13,14],[3,4,7,8,9,10,13],[3,5,6,7,8,11,13],[3,5,6,9,10,12,14],[4,5,6,8,10,11,14]]; G[3979]:=Group([(2,10)(3,11)(4,12)(5,7)(6,13)]); # Design 3980: autom. group order 2, simple B[3980]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,5,9,12,13,14],[1,3,6,7,8,12,14],[1,3,6,9,11,13,14],[1,4,5,8,11,13,14],[1,4,6,7,9,10,14],[1,4,6,8,9,12,13],[1,5,7,10,11,12,13],[1,7,8,9,10,11,12],[2,3,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,6,7,11,12,14],[2,4,6,8,10,12,13],[2,4,7,8,11,13,14],[2,5,6,7,9,10,13],[2,5,6,9,11,12,14],[3,4,5,7,9,11,12],[3,4,5,10,12,13,14],[3,4,7,9,10,13,14],[3,5,6,7,8,11,13],[3,5,6,8,10,12,14],[4,5,6,8,9,10,11]]; G[3980]:=Group([(2,10)(3,11)(4,12)(5,7)(6,13)]); # Design 3981: autom. group order 2, simple B[3981]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,5,9,12,13,14],[1,3,6,7,8,12,14],[1,3,6,9,11,13,14],[1,4,5,8,11,13,14],[1,4,6,7,9,10,14],[1,4,6,8,9,12,13],[1,5,7,10,11,12,13],[1,7,8,9,10,11,12],[2,3,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,6,7,11,12,14],[2,4,6,8,10,12,13],[2,4,7,8,9,11,13],[2,5,6,7,9,10,13],[2,5,6,9,11,12,14],[3,4,5,7,9,11,12],[3,4,5,10,12,13,14],[3,4,7,9,10,13,14],[3,5,6,7,8,11,13],[3,5,6,8,9,10,12],[4,5,6,8,10,11,14]]; G[3981]:=Group([(2,10)(3,11)(4,12)(5,7)(6,13)]); # Design 3982: autom. group order 2, simple B[3982]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,7,10,12,14],[1,3,6,7,9,11,13],[1,3,6,8,12,13,14],[1,4,5,9,11,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,12,13],[1,5,6,8,11,12,14],[1,7,8,9,10,11,14],[2,3,7,8,9,12,14],[2,3,8,9,10,11,13],[2,4,6,7,8,9,14],[2,4,6,8,11,12,13],[2,4,7,11,12,13,14],[2,5,6,9,10,11,12],[2,5,6,9,10,13,14],[3,4,5,8,10,11,14],[3,4,5,9,12,13,14],[3,4,6,7,10,11,14],[3,5,6,7,9,11,12],[3,5,7,8,10,12,13],[4,5,6,7,8,10,13]]; G[3982]:=Group([(1,11)(3,12)(5,13)(7,8)(9,14)]); # Design 3983: autom. group order 2, simple B[3983]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,10,11,13],[1,2,5,8,12,13,14],[1,3,6,7,8,12,14],[1,3,6,7,9,11,12],[1,4,5,8,9,11,14],[1,4,6,9,10,13,14],[1,4,7,8,10,11,14],[1,5,6,9,11,12,13],[1,7,8,9,10,12,13],[2,3,7,8,9,11,13],[2,3,8,9,10,12,14],[2,4,6,7,8,9,13],[2,4,6,9,11,12,14],[2,4,7,11,12,13,14],[2,5,6,7,9,10,14],[2,5,6,8,10,11,12],[3,4,5,7,12,13,14],[3,4,5,9,10,12,13],[3,4,6,8,10,11,13],[3,5,6,8,11,13,14],[3,5,7,9,10,11,14],[4,5,6,7,8,10,12]]; G[3983]:=Group([(1,12)(3,11)(5,14)(7,9)(8,13)]); # Design 3984: autom. group order 2, simple, residual B[3984]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,5,9,11,12,13],[1,3,6,7,9,10,14],[1,3,6,8,10,11,12],[1,4,5,7,11,12,14],[1,4,6,8,11,13,14],[1,4,7,8,9,12,14],[1,5,6,9,10,12,13],[1,7,8,9,10,11,13],[2,3,7,8,11,12,13],[2,3,7,9,10,11,14],[2,4,6,7,9,11,13],[2,4,6,10,12,13,14],[2,4,8,9,10,12,14],[2,5,6,7,8,10,12],[2,5,6,8,9,11,14],[3,4,5,8,9,10,13],[3,4,5,10,11,13,14],[3,4,6,7,9,12,13],[3,5,6,9,11,12,14],[3,5,7,8,12,13,14],[4,5,6,7,8,10,11]]; G[3984]:=Group([(1,10)(3,12)(5,14)(7,13)]); # Design 3985: autom. group order 2, simple, residual B[3985]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,10,11,13],[1,2,5,8,12,13,14],[1,3,6,7,8,12,14],[1,3,6,9,11,13,14],[1,4,5,7,9,12,14],[1,4,6,8,9,10,11],[1,4,7,8,10,11,14],[1,5,6,9,11,12,13],[1,7,8,9,10,12,13],[2,3,7,8,9,11,13],[2,3,8,9,10,12,14],[2,4,6,7,8,9,13],[2,4,6,9,11,12,14],[2,4,7,11,12,13,14],[2,5,6,7,9,10,14],[2,5,6,8,10,11,12],[3,4,5,8,11,13,14],[3,4,5,9,10,12,13],[3,4,6,7,10,12,13],[3,5,6,7,8,11,12],[3,5,7,9,10,11,14],[4,5,6,8,10,13,14]]; G[3985]:=Group([(1,12)(3,11)(5,14)(7,9)(8,13)]); # Design 3986: autom. group order 2, simple, residual B[3986]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,10,11,13],[1,2,5,8,12,13,14],[1,3,6,7,8,12,14],[1,3,6,9,11,13,14],[1,4,5,8,9,11,14],[1,4,6,7,9,10,12],[1,4,7,8,10,11,14],[1,5,6,9,11,12,13],[1,7,8,9,10,12,13],[2,3,7,8,9,11,13],[2,3,8,9,10,12,14],[2,4,6,7,8,9,13],[2,4,6,9,11,12,14],[2,4,7,11,12,13,14],[2,5,6,7,9,10,14],[2,5,6,8,10,11,12],[3,4,5,7,12,13,14],[3,4,5,9,10,12,13],[3,4,6,8,10,11,13],[3,5,6,7,8,11,12],[3,5,7,9,10,11,14],[4,5,6,8,10,13,14]]; G[3986]:=Group([(1,12)(3,11)(5,14)(7,9)(8,13)]); # Design 3987: autom. group order 2, simple B[3987]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,8,10,12,14],[1,3,6,7,9,12,13],[1,3,6,8,11,13,14],[1,4,5,9,11,13,14],[1,4,6,7,10,12,14],[1,4,8,9,10,12,13],[1,5,6,7,9,11,12],[1,7,8,9,10,11,14],[2,3,7,8,9,12,14],[2,3,7,9,10,11,13],[2,4,6,7,8,9,14],[2,4,6,8,11,12,13],[2,4,7,11,12,13,14],[2,5,6,9,10,11,12],[2,5,6,9,10,13,14],[3,4,5,7,10,11,14],[3,4,5,9,12,13,14],[3,4,6,8,9,10,11],[3,5,6,8,11,12,14],[3,5,7,8,10,12,13],[4,5,6,7,8,10,13]]; G[3987]:=Group([(1,11)(3,12)(5,13)(7,8)(9,14)]); # Design 3988: autom. group order 2, simple B[3988]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,8,10,12,14],[1,3,6,7,9,12,14],[1,3,6,8,11,13,14],[1,4,5,9,12,13,14],[1,4,6,8,9,10,11],[1,4,7,9,10,11,14],[1,5,6,7,11,12,13],[1,7,8,9,10,12,13],[2,3,7,8,9,12,14],[2,3,7,9,10,11,13],[2,4,6,7,8,9,13],[2,4,6,7,11,12,14],[2,4,8,11,12,13,14],[2,5,6,9,10,11,12],[2,5,6,9,10,13,14],[3,4,5,7,10,12,13],[3,4,5,9,11,13,14],[3,4,6,8,10,12,13],[3,5,6,8,9,11,12],[3,5,7,8,10,11,14],[4,5,6,7,8,10,14]]; G[3988]:=Group([(1,12)(3,11)(5,14)(9,13)]); # Design 3989: autom. group order 2, simple, residual B[3989]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,8,10,12,14],[1,3,6,7,9,12,14],[1,3,6,8,11,13,14],[1,4,5,9,12,13,14],[1,4,6,8,9,10,11],[1,4,7,9,10,12,13],[1,5,6,7,11,12,13],[1,7,8,9,10,11,14],[2,3,7,8,9,12,14],[2,3,7,9,10,11,13],[2,4,6,7,8,9,13],[2,4,6,7,11,12,14],[2,4,8,11,12,13,14],[2,5,6,9,10,11,12],[2,5,6,9,10,13,14],[3,4,5,7,10,11,14],[3,4,5,9,11,13,14],[3,4,6,8,10,12,13],[3,5,6,8,9,11,12],[3,5,7,8,10,12,13],[4,5,6,7,8,10,14]]; G[3989]:=Group([(1,12)(3,11)(5,14)(9,13)]); # Design 3990: autom. group order 2, simple B[3990]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,8,10,12,14],[1,3,6,7,12,13,14],[1,3,6,8,9,11,14],[1,4,5,9,12,13,14],[1,4,6,8,10,11,13],[1,4,7,9,10,11,14],[1,5,6,7,9,11,12],[1,7,8,9,10,12,13],[2,3,7,8,9,12,14],[2,3,7,9,10,11,13],[2,4,6,7,8,9,13],[2,4,6,7,11,12,14],[2,4,8,11,12,13,14],[2,5,6,9,10,11,12],[2,5,6,9,10,13,14],[3,4,5,7,10,12,13],[3,4,5,9,11,13,14],[3,4,6,8,9,10,12],[3,5,6,8,11,12,13],[3,5,7,8,10,11,14],[4,5,6,7,8,10,14]]; G[3990]:=Group([(1,12)(3,11)(5,14)(9,13)]); # Design 3991: autom. group order 2, simple, residual B[3991]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,8,10,12,14],[1,3,6,7,12,13,14],[1,3,6,8,9,11,14],[1,4,5,9,12,13,14],[1,4,6,8,10,11,13],[1,4,7,9,10,12,13],[1,5,6,7,9,11,12],[1,7,8,9,10,11,14],[2,3,7,8,9,12,14],[2,3,7,9,10,11,13],[2,4,6,7,8,9,13],[2,4,6,7,11,12,14],[2,4,8,11,12,13,14],[2,5,6,9,10,11,12],[2,5,6,9,10,13,14],[3,4,5,7,10,11,14],[3,4,5,9,11,13,14],[3,4,6,8,9,10,12],[3,5,6,8,11,12,13],[3,5,7,8,10,12,13],[4,5,6,7,8,10,14]]; G[3991]:=Group([(1,12)(3,11)(5,14)(9,13)]); # Design 3992: autom. group order 2, simple, residual B[3992]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,5,9,11,12,13],[1,3,6,8,10,11,12],[1,3,6,9,10,13,14],[1,4,5,11,12,13,14],[1,4,6,7,8,11,14],[1,4,7,8,9,12,14],[1,5,6,7,9,10,12],[1,7,8,9,10,11,13],[2,3,7,8,11,12,13],[2,3,7,9,10,11,14],[2,4,6,7,9,11,13],[2,4,6,10,12,13,14],[2,4,8,9,10,12,14],[2,5,6,7,8,10,12],[2,5,6,8,9,11,14],[3,4,5,7,10,11,14],[3,4,5,8,9,10,13],[3,4,6,7,9,12,13],[3,5,6,9,11,12,14],[3,5,7,8,12,13,14],[4,5,6,8,10,11,13]]; G[3992]:=Group([(1,10)(3,12)(5,14)(7,13)]); # Design 3993: autom. group order 2, simple, residual B[3993]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,5,9,10,12,13],[1,3,6,7,8,12,14],[1,3,6,9,11,13,14],[1,4,5,7,9,11,14],[1,4,6,7,10,12,13],[1,4,8,9,10,12,14],[1,5,6,7,8,11,12],[1,7,8,9,10,11,13],[2,3,7,8,9,12,13],[2,3,7,8,10,11,14],[2,4,6,7,8,9,13],[2,4,6,9,11,12,14],[2,4,7,11,12,13,14],[2,5,6,7,9,10,14],[2,5,6,8,10,11,12],[3,4,5,7,10,11,13],[3,4,5,8,12,13,14],[3,4,6,8,9,10,11],[3,5,6,9,11,12,13],[3,5,7,9,10,12,14],[4,5,6,8,10,13,14]]; G[3993]:=Group([(1,11)(3,12)(5,14)(7,9)(8,13)]); # Design 3994: autom. group order 2, simple, residual B[3994]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,5,9,10,12,13],[1,3,6,7,8,12,14],[1,3,6,9,11,13,14],[1,4,5,7,12,13,14],[1,4,6,7,9,10,11],[1,4,8,9,10,12,14],[1,5,6,7,8,11,12],[1,7,8,9,10,11,13],[2,3,7,8,9,12,13],[2,3,7,8,10,11,14],[2,4,6,7,8,9,13],[2,4,6,9,11,12,14],[2,4,7,11,12,13,14],[2,5,6,7,9,10,14],[2,5,6,8,10,11,12],[3,4,5,7,10,11,13],[3,4,5,8,9,11,14],[3,4,6,8,10,12,13],[3,5,6,9,11,12,13],[3,5,7,9,10,12,14],[4,5,6,8,10,13,14]]; G[3994]:=Group([(1,11)(3,12)(5,14)(7,9)(8,13)]); # Design 3995: autom. group order 2, simple B[3995]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,5,9,12,13,14],[1,3,6,7,8,11,12],[1,3,6,8,12,13,14],[1,4,5,7,11,13,14],[1,4,6,7,9,10,14],[1,4,8,9,10,11,14],[1,5,6,7,9,11,12],[1,7,8,9,10,12,13],[2,3,7,8,9,11,13],[2,3,7,9,10,12,14],[2,4,6,7,8,9,13],[2,4,6,8,11,12,14],[2,4,7,11,12,13,14],[2,5,6,7,8,10,14],[2,5,6,9,10,11,12],[3,4,5,7,10,12,13],[3,4,5,8,9,12,14],[3,4,6,9,10,11,13],[3,5,6,9,11,13,14],[3,5,7,8,10,11,14],[4,5,6,8,10,12,13]]; G[3995]:=Group([(1,12)(3,11)(5,14)(7,8)(9,13)]); # Design 3996: autom. group order 2, simple, residual B[3996]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,10,12,13,14],[1,3,6,7,9,10,14],[1,3,6,8,11,12,14],[1,4,5,7,9,11,12],[1,4,6,9,12,13,14],[1,4,7,8,10,11,14],[1,5,8,9,10,12,13],[1,6,7,8,9,11,13],[2,3,7,8,9,12,14],[2,3,7,9,11,12,13],[2,4,6,7,9,10,13],[2,4,6,8,11,12,13],[2,4,8,9,10,11,14],[2,5,6,7,8,12,14],[2,5,6,9,10,11,14],[3,4,5,6,11,13,14],[3,4,5,8,9,13,14],[3,4,7,10,12,13,14],[3,5,6,9,10,11,12],[3,5,7,8,10,11,13],[4,5,6,7,8,10,12]]; G[3996]:=Group([(1,13)(2,14)(3,4)(7,11)(8,9)(10,12)]); # Design 3997: autom. group order 2, simple, residual B[3997]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,10,12,13,14],[1,3,6,7,8,12,14],[1,3,6,9,10,11,14],[1,4,5,7,9,11,12],[1,4,6,9,12,13,14],[1,4,7,8,10,11,14],[1,5,8,9,10,12,13],[1,6,7,8,9,11,13],[2,3,7,9,11,12,13],[2,3,8,9,11,12,14],[2,4,6,7,8,12,13],[2,4,6,9,10,11,13],[2,4,7,8,9,10,14],[2,5,6,7,9,10,14],[2,5,6,8,11,12,14],[3,4,5,6,11,13,14],[3,4,5,8,9,13,14],[3,4,7,10,12,13,14],[3,5,6,7,9,10,12],[3,5,7,8,10,11,13],[4,5,6,8,10,11,12]]; G[3997]:=Group([(1,13)(2,14)(3,4)(7,11)(8,9)(10,12)]); # Design 3998: autom. group order 2, simple B[3998]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,11,14],[1,2,5,9,12,13,14],[1,3,6,7,11,12,13],[1,3,6,8,9,11,14],[1,4,5,8,12,13,14],[1,4,6,7,9,13,14],[1,4,9,10,11,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,10,12],[2,3,7,9,10,13,14],[2,3,8,11,12,13,14],[2,4,6,7,11,12,14],[2,4,6,8,9,11,14],[2,4,7,8,9,10,12],[2,5,6,7,8,12,13],[2,5,6,9,10,11,13],[3,4,5,6,10,12,14],[3,4,5,7,9,11,13],[3,4,7,8,10,13,14],[3,5,6,9,10,12,14],[3,5,7,8,9,11,12],[4,5,6,8,10,11,13]]; G[3998]:=Group([(1,7)(2,8)(3,12)(4,9)(5,10)]); # Design 3999: autom. group order 2, simple B[3999]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,5,9,10,13,14],[1,3,6,7,9,12,13],[1,3,6,8,10,11,12],[1,4,5,7,8,12,14],[1,4,7,9,10,11,14],[1,4,8,9,11,12,13],[1,5,6,11,12,13,14],[1,6,7,8,9,10,14],[2,3,7,8,11,13,14],[2,3,7,9,11,12,14],[2,4,6,8,9,11,14],[2,4,6,10,12,13,14],[2,4,7,8,10,12,13],[2,5,6,7,9,11,12],[2,5,6,8,9,10,12],[3,4,5,6,10,11,14],[3,4,5,9,12,13,14],[3,4,6,7,9,10,13],[3,5,7,8,10,12,14],[3,5,8,9,10,11,13],[4,5,6,7,8,11,13]]; G[3999]:=Group([(1,10)(3,12)(5,13)(6,8)(9,14)]); # Design 4000: autom. group order 2, simple B[4000]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,5,9,10,13,14],[1,3,6,7,9,12,13],[1,3,6,8,10,11,12],[1,4,5,8,11,12,14],[1,4,7,8,9,12,13],[1,4,7,9,10,11,14],[1,5,6,11,12,13,14],[1,6,7,8,9,10,14],[2,3,7,8,11,13,14],[2,3,7,9,11,12,14],[2,4,6,8,9,11,14],[2,4,6,10,12,13,14],[2,4,7,8,10,12,13],[2,5,6,7,9,11,12],[2,5,6,8,9,10,12],[3,4,5,6,7,10,14],[3,4,5,9,12,13,14],[3,4,6,9,10,11,13],[3,5,7,8,10,12,14],[3,5,8,9,10,11,13],[4,5,6,7,8,11,13]]; G[4000]:=Group([(1,10)(3,12)(5,13)(6,8)(9,14)]); # Design 4001: autom. group order 2, simple, residual B[4001]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,5,9,10,11,13],[1,3,6,7,9,10,12],[1,3,6,11,12,13,14],[1,4,5,8,9,12,14],[1,4,7,8,10,11,12],[1,4,7,8,11,13,14],[1,5,6,9,11,12,13],[1,6,7,8,9,10,14],[2,3,7,9,10,11,14],[2,3,8,9,11,12,14],[2,4,6,7,9,12,13],[2,4,6,8,10,11,13],[2,4,7,9,12,13,14],[2,5,6,7,8,11,12],[2,5,6,8,10,12,14],[3,4,5,6,7,11,14],[3,4,5,10,12,13,14],[3,4,6,8,9,10,13],[3,5,7,8,9,11,13],[3,5,7,8,10,12,13],[4,5,6,9,10,11,14]]; G[4001]:=Group([(1,5)(2,9)(3,11)(4,13)(7,12)(8,10)]); # Design 4002: autom. group order 2, simple B[4002]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,5,9,10,11,13],[1,3,6,8,10,11,12],[1,3,6,9,12,13,14],[1,4,5,8,9,12,14],[1,4,7,8,11,12,13],[1,4,7,9,10,11,14],[1,5,6,7,11,12,13],[1,6,7,8,9,10,14],[2,3,7,8,9,11,13],[2,3,7,9,11,12,14],[2,4,6,7,8,11,14],[2,4,6,9,10,12,13],[2,4,8,10,12,13,14],[2,5,6,7,8,10,12],[2,5,6,9,11,12,14],[3,4,5,6,10,11,14],[3,4,5,7,12,13,14],[3,4,6,7,9,10,13],[3,5,7,8,9,10,12],[3,5,8,10,11,13,14],[4,5,6,8,9,11,13]]; G[4002]:=Group([(1,10)(3,12)(5,13)(6,8)(7,14)]); # Design 4003: autom. group order 2, simple B[4003]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,5,9,10,11,13],[1,3,6,8,10,11,12],[1,3,6,9,12,13,14],[1,4,5,8,11,12,14],[1,4,7,8,9,12,13],[1,4,7,9,10,11,14],[1,5,6,7,11,12,13],[1,6,7,8,9,10,14],[2,3,7,8,9,11,13],[2,3,7,9,11,12,14],[2,4,6,7,8,11,14],[2,4,6,9,10,12,13],[2,4,8,10,12,13,14],[2,5,6,7,8,10,12],[2,5,6,9,11,12,14],[3,4,5,6,9,10,14],[3,4,5,7,12,13,14],[3,4,6,7,10,11,13],[3,5,7,8,9,10,12],[3,5,8,10,11,13,14],[4,5,6,8,9,11,13]]; G[4003]:=Group([(1,10)(3,12)(5,13)(6,8)(7,14)]); # Design 4004: autom. group order 2, simple, residual B[4004]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,5,9,12,13,14],[1,3,6,8,10,11,12],[1,3,8,9,10,13,14],[1,4,5,6,8,12,14],[1,4,6,7,9,10,13],[1,4,7,10,11,13,14],[1,5,7,9,11,12,14],[1,6,7,8,9,11,12],[2,3,6,11,12,13,14],[2,3,7,8,9,11,14],[2,4,6,8,9,11,13],[2,4,6,9,10,12,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,11],[2,5,7,8,10,12,13],[3,4,5,7,11,12,13],[3,4,5,9,10,11,14],[3,4,7,8,9,12,13],[3,5,6,7,8,10,14],[3,5,6,9,10,12,13],[4,5,6,8,11,13,14]]; G[4004]:=Group([(1,12)(3,10)(5,14)(6,8)]); # Design 4005: autom. group order 2, simple, residual B[4005]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,5,9,10,13,14],[1,3,6,8,10,11,12],[1,3,7,9,10,12,14],[1,4,5,6,7,12,14],[1,4,6,9,11,12,13],[1,4,7,8,11,13,14],[1,5,8,9,11,12,13],[1,6,7,8,9,10,14],[2,3,6,7,9,11,13],[2,3,7,9,11,12,14],[2,4,6,8,9,11,14],[2,4,6,10,12,13,14],[2,4,7,8,10,12,13],[2,5,6,8,9,10,12],[2,5,7,8,11,12,14],[3,4,5,8,10,11,14],[3,4,5,9,12,13,14],[3,4,7,8,9,10,13],[3,5,6,7,8,12,13],[3,5,6,10,11,13,14],[4,5,6,7,9,10,11]]; G[4005]:=Group([(1,10)(3,12)(5,13)(6,8)(9,14)]); # Design 4006: autom. group order 2, simple, residual B[4006]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,9,11,13,14],[1,3,6,8,12,13,14],[1,3,7,8,9,12,14],[1,4,5,6,9,10,12],[1,4,6,7,11,12,13],[1,4,7,8,10,11,14],[1,5,7,9,10,12,14],[1,6,8,9,10,11,13],[2,3,6,7,9,11,14],[2,3,7,9,10,12,13],[2,4,6,7,8,10,14],[2,4,6,8,9,12,13],[2,4,8,9,11,12,14],[2,5,6,10,11,12,14],[2,5,7,8,10,12,13],[3,4,5,8,10,13,14],[3,4,5,11,12,13,14],[3,4,7,9,10,11,13],[3,5,6,7,8,11,12],[3,5,6,8,9,10,11],[4,5,6,7,9,13,14]]; G[4006]:=Group([(1,13)(2,14)(3,5)(6,11)(7,12)(9,10)]); # Design 4007: autom. group order 2, simple, residual B[4007]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,9,10,13],[1,2,5,10,11,13,14],[1,3,6,9,12,13,14],[1,3,7,8,11,12,14],[1,4,5,6,8,11,12],[1,4,6,7,10,12,13],[1,4,7,8,9,10,14],[1,5,7,9,11,12,14],[1,6,8,9,10,11,13],[2,3,6,7,10,11,14],[2,3,7,8,9,12,13],[2,4,6,7,9,11,14],[2,4,6,9,11,12,13],[2,4,8,9,10,12,14],[2,5,6,8,10,12,14],[2,5,7,8,11,12,13],[3,4,5,9,11,13,14],[3,4,5,10,12,13,14],[3,4,7,8,10,11,13],[3,5,6,7,9,10,12],[3,5,6,8,9,10,11],[4,5,6,7,8,13,14]]; G[4007]:=Group([(1,13)(2,14)(3,5)(6,10)(7,12)(8,11)]); # Design 4008: autom. group order 2, simple, residual B[4008]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,5,9,10,13,14],[1,3,6,8,10,11,12],[1,3,7,9,10,12,14],[1,4,5,6,11,12,14],[1,4,6,7,9,12,13],[1,4,7,8,11,13,14],[1,5,8,9,11,12,13],[1,6,7,8,9,10,14],[2,3,6,7,9,11,13],[2,3,7,9,11,12,14],[2,4,6,8,9,11,14],[2,4,6,10,12,13,14],[2,4,7,8,10,12,13],[2,5,6,8,9,10,12],[2,5,7,8,11,12,14],[3,4,5,7,8,10,14],[3,4,5,9,12,13,14],[3,4,8,9,10,11,13],[3,5,6,7,8,12,13],[3,5,6,10,11,13,14],[4,5,6,7,9,10,11]]; G[4008]:=Group([(1,10)(3,12)(5,13)(6,8)(9,14)]); # Design 4009: autom. group order 2, simple B[4009]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,5,8,9,10,14],[1,3,6,8,9,12,13],[1,3,7,8,11,13,14],[1,4,5,6,11,13,14],[1,4,6,7,8,12,14],[1,4,7,8,9,10,13],[1,5,9,10,11,12,14],[1,6,7,9,10,11,12],[2,3,6,7,9,12,14],[2,3,7,8,10,11,14],[2,4,6,8,10,12,14],[2,4,6,9,11,13,14],[2,4,8,9,11,12,13],[2,5,6,7,9,10,13],[2,5,7,8,11,12,13],[3,4,5,7,9,11,12],[3,4,5,10,12,13,14],[3,4,7,9,10,13,14],[3,5,6,8,9,11,14],[3,5,6,8,10,12,13],[4,5,6,7,8,10,11]]; G[4009]:=Group([(2,10)(3,11)(4,12)(5,9)(8,14)]); # Design 4010: autom. group order 2, simple, residual B[4010]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,5,9,10,11,13],[1,3,6,8,10,11,12],[1,3,7,9,10,12,14],[1,4,5,6,9,12,14],[1,4,6,7,11,12,13],[1,4,7,8,9,11,13],[1,5,8,11,12,13,14],[1,6,7,8,9,10,14],[2,3,6,9,11,13,14],[2,3,7,9,11,12,14],[2,4,6,7,8,11,14],[2,4,6,9,10,12,13],[2,4,8,10,12,13,14],[2,5,6,7,8,10,12],[2,5,7,8,9,11,12],[3,4,5,7,12,13,14],[3,4,5,8,10,11,14],[3,4,7,8,9,10,13],[3,5,6,7,10,11,13],[3,5,6,8,9,12,13],[4,5,6,9,10,11,14]]; G[4010]:=Group([(1,10)(3,12)(5,13)(6,8)(7,14)]); # Design 4011: autom. group order 2, simple, residual B[4011]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,5,9,10,11,13],[1,3,6,8,10,11,12],[1,3,7,9,10,12,14],[1,4,5,6,11,12,14],[1,4,6,7,9,12,13],[1,4,7,8,9,11,13],[1,5,8,11,12,13,14],[1,6,7,8,9,10,14],[2,3,6,9,11,13,14],[2,3,7,9,11,12,14],[2,4,6,7,8,11,14],[2,4,6,9,10,12,13],[2,4,8,10,12,13,14],[2,5,6,7,8,10,12],[2,5,7,8,9,11,12],[3,4,5,7,12,13,14],[3,4,5,8,9,10,14],[3,4,7,8,10,11,13],[3,5,6,7,10,11,13],[3,5,6,8,9,12,13],[4,5,6,9,10,11,14]]; G[4011]:=Group([(1,10)(3,12)(5,13)(6,8)(7,14)]); # Design 4012: autom. group order 2, simple, residual B[4012]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,9,12,13],[1,3,6,8,10,11,12],[1,3,7,8,12,13,14],[1,4,5,6,8,11,14],[1,4,6,7,9,12,13],[1,4,9,10,12,13,14],[1,5,7,9,10,11,14],[1,6,7,8,9,10,11],[2,3,6,9,11,13,14],[2,3,7,8,9,10,14],[2,4,6,7,8,10,13],[2,4,6,9,11,12,14],[2,4,7,8,11,12,14],[2,5,6,7,9,10,12],[2,5,8,10,11,12,13],[3,4,5,7,10,12,14],[3,4,5,9,10,11,13],[3,4,7,8,9,11,13],[3,5,6,7,11,12,13],[3,5,6,8,9,12,14],[4,5,6,8,10,13,14]]; G[4012]:=Group([(1,11)(3,12)(5,14)(6,8)]); # Design 4013: autom. group order 2, simple, residual B[4013]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,5,9,11,12,13],[1,3,6,9,10,11,12],[1,3,7,9,11,13,14],[1,4,5,6,9,10,14],[1,4,6,7,8,11,13],[1,4,8,11,12,13,14],[1,5,7,8,10,12,14],[1,6,7,8,9,10,12],[2,3,6,10,12,13,14],[2,3,7,8,9,12,14],[2,4,6,7,9,12,13],[2,4,6,8,10,11,14],[2,4,7,9,10,11,14],[2,5,6,7,8,11,12],[2,5,8,9,10,11,13],[3,4,5,7,11,12,14],[3,4,5,8,10,12,13],[3,4,7,8,9,10,13],[3,5,6,7,10,11,13],[3,5,6,8,9,11,14],[4,5,6,9,12,13,14]]; G[4013]:=Group([(1,10)(3,11)(5,14)(6,9)]); # Design 4014: autom. group order 2, simple, residual B[4014]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,9,12,13,14],[1,3,6,8,10,11,12],[1,3,8,9,11,13,14],[1,4,5,6,8,12,14],[1,4,6,7,9,11,13],[1,4,7,10,11,13,14],[1,5,7,9,10,12,14],[1,6,7,8,9,10,12],[2,3,6,7,12,13,14],[2,3,7,8,9,10,14],[2,4,6,8,9,10,13],[2,4,6,9,11,12,14],[2,4,7,8,11,12,14],[2,5,6,7,9,10,11],[2,5,8,10,11,12,13],[3,4,5,7,10,12,13],[3,4,5,9,10,11,14],[3,4,7,8,9,12,13],[3,5,6,7,8,11,14],[3,5,6,9,11,12,13],[4,5,6,8,10,13,14]]; G[4014]:=Group([(1,12)(3,11)(5,14)(6,8)]); # Design 4015: autom. group order 2, simple B[4015]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,5,9,10,13,14],[1,3,6,8,9,12,14],[1,3,7,8,11,13,14],[1,4,5,6,7,11,14],[1,4,6,7,8,12,13],[1,4,7,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,7,9,12,13],[2,3,7,8,10,11,14],[2,4,6,8,9,11,14],[2,4,6,10,12,13,14],[2,4,7,9,11,12,14],[2,5,6,7,8,9,10],[2,5,7,8,11,12,13],[3,4,5,8,10,12,14],[3,4,5,9,11,12,13],[3,4,7,8,9,10,13],[3,5,6,7,10,12,14],[3,5,6,9,11,13,14],[4,5,6,8,10,11,13]]; G[4015]:=Group([(2,10)(3,11)(4,12)(5,9)(7,8)]); # Design 4016: autom. group order 2, simple B[4016]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,5,9,10,13,14],[1,3,6,8,9,12,14],[1,3,7,8,11,13,14],[1,4,5,6,7,11,14],[1,4,6,7,8,12,13],[1,4,7,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,7,9,12,14],[2,3,7,8,10,11,14],[2,4,6,8,9,11,13],[2,4,6,10,12,13,14],[2,4,7,9,11,12,14],[2,5,6,7,8,9,10],[2,5,7,8,11,12,13],[3,4,5,8,10,12,14],[3,4,5,9,11,12,13],[3,4,7,8,9,10,13],[3,5,6,7,10,12,13],[3,5,6,9,11,13,14],[4,5,6,8,10,11,14]]; G[4016]:=Group([(2,10)(3,11)(4,12)(5,9)(7,8)]); # Design 4017: autom. group order 2, simple, residual B[4017]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,13,14],[1,2,5,9,11,12,13],[1,3,6,8,10,11,14],[1,3,7,8,11,12,13],[1,4,5,6,9,11,14],[1,4,6,10,12,13,14],[1,4,7,9,10,12,14],[1,5,7,8,9,10,12],[1,6,7,8,9,11,13],[2,3,6,7,9,10,12],[2,3,8,9,10,11,14],[2,4,6,8,9,10,13],[2,4,7,8,11,12,14],[2,4,7,9,11,13,14],[2,5,6,7,8,12,14],[2,5,6,10,11,12,13],[3,4,5,7,10,11,13],[3,4,5,8,12,13,14],[3,4,6,8,9,12,13],[3,5,6,9,11,12,14],[3,5,7,9,10,13,14],[4,5,6,7,8,10,11]]; G[4017]:=Group([(2,10)(3,12)(5,14)(6,9)(8,13)]); # Design 4018: autom. group order 2, simple, residual B[4018]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,5,9,10,13,14],[1,3,6,8,9,12,13],[1,3,7,8,10,11,12],[1,4,5,6,11,12,14],[1,4,6,9,10,11,14],[1,4,7,8,9,12,13],[1,5,7,11,12,13,14],[1,6,7,8,9,10,14],[2,3,6,8,11,13,14],[2,3,7,9,11,12,14],[2,4,6,7,10,12,13],[2,4,7,8,9,11,14],[2,4,8,10,12,13,14],[2,5,6,7,9,10,12],[2,5,6,8,9,11,12],[3,4,5,7,8,10,14],[3,4,5,9,12,13,14],[3,4,6,9,10,11,13],[3,5,6,8,10,12,14],[3,5,7,9,10,11,13],[4,5,6,7,8,11,13]]; G[4018]:=Group([(1,10)(3,12)(5,13)(9,14)]); # Design 4019: autom. group order 2, simple B[4019]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,13,14],[1,2,5,9,11,12,13],[1,3,6,8,10,11,13],[1,3,7,9,10,11,12],[1,4,5,6,10,12,14],[1,4,6,9,12,13,14],[1,4,7,8,9,10,13],[1,5,7,8,11,12,14],[1,6,7,8,9,11,14],[2,3,6,8,9,12,14],[2,3,7,8,10,12,14],[2,4,6,9,10,11,14],[2,4,7,8,9,12,13],[2,4,7,10,11,13,14],[2,5,6,7,11,12,13],[2,5,6,8,9,10,11],[3,4,5,7,9,11,14],[3,4,5,8,11,13,14],[3,4,6,8,11,12,13],[3,5,6,7,9,10,13],[3,5,9,10,12,13,14],[4,5,6,7,8,10,12]]; G[4019]:=Group([(1,10)(3,11)(5,14)(7,9)(8,13)]); # Design 4020: autom. group order 2, simple B[4020]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,13,14],[1,2,5,9,11,12,13],[1,3,6,8,10,11,13],[1,3,7,9,10,11,12],[1,4,5,6,10,12,14],[1,4,6,9,12,13,14],[1,4,7,8,9,11,14],[1,5,7,8,11,12,14],[1,6,7,8,9,10,13],[2,3,6,8,9,12,14],[2,3,7,8,10,12,14],[2,4,6,9,10,11,14],[2,4,7,8,9,12,13],[2,4,7,10,11,13,14],[2,5,6,7,11,12,13],[2,5,6,8,9,10,11],[3,4,5,7,9,10,13],[3,4,5,8,11,13,14],[3,4,6,8,11,12,13],[3,5,6,7,9,11,14],[3,5,9,10,12,13,14],[4,5,6,7,8,10,12]]; G[4020]:=Group([(1,10)(3,11)(5,14)(7,9)(8,13)]); # Design 4021: autom. group order 2, simple B[4021]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,5,9,12,13,14],[1,3,6,8,10,13,14],[1,3,7,8,10,11,12],[1,4,5,6,11,12,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,14],[1,5,7,9,10,11,14],[1,6,7,8,9,12,13],[2,3,6,9,10,11,13],[2,3,7,9,11,12,14],[2,4,6,8,10,12,14],[2,4,7,8,9,11,13],[2,4,7,10,12,13,14],[2,5,6,7,8,11,14],[2,5,6,8,9,10,12],[3,4,5,7,8,12,13],[3,4,5,9,10,13,14],[3,4,6,8,9,11,14],[3,5,6,7,9,10,12],[3,5,8,11,12,13,14],[4,5,6,7,10,11,13]]; G[4021]:=Group([(1,12)(3,10)(5,14)(7,8)(9,13)]); # Design 4022: autom. group order 2, simple, residual B[4022]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,5,9,12,13,14],[1,3,6,8,10,13,14],[1,3,7,8,10,11,12],[1,4,5,6,11,12,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,14],[1,5,7,9,10,11,14],[1,6,7,8,9,12,13],[2,3,6,8,9,11,14],[2,3,7,9,11,12,14],[2,4,6,8,10,12,14],[2,4,7,8,9,11,13],[2,4,7,10,12,13,14],[2,5,6,7,10,11,13],[2,5,6,8,9,10,12],[3,4,5,7,8,12,13],[3,4,5,9,10,13,14],[3,4,6,9,10,11,13],[3,5,6,7,9,10,12],[3,5,8,11,12,13,14],[4,5,6,7,8,11,14]]; G[4022]:=Group([(1,12)(3,10)(5,14)(7,8)(9,13)]); # Design 4023: autom. group order 2, simple, residual B[4023]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,5,9,12,13,14],[1,3,6,8,10,13,14],[1,3,9,10,11,12,13],[1,4,5,6,11,12,14],[1,4,6,7,9,10,11],[1,4,7,8,9,10,14],[1,5,7,8,11,12,14],[1,6,7,8,9,12,13],[2,3,6,8,9,11,14],[2,3,7,9,11,12,14],[2,4,6,8,10,12,14],[2,4,7,8,9,11,13],[2,4,7,10,12,13,14],[2,5,6,7,10,11,13],[2,5,6,8,9,10,12],[3,4,5,7,8,12,13],[3,4,5,9,10,13,14],[3,4,6,8,11,12,13],[3,5,6,7,9,10,12],[3,5,7,8,10,11,14],[4,5,6,9,11,13,14]]; G[4023]:=Group([(1,12)(3,10)(5,14)(7,8)(9,13)]); # Design 4024: autom. group order 2, simple, residual B[4024]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,13,14],[1,2,5,9,11,12,13],[1,3,6,8,10,11,13],[1,3,9,11,12,13,14],[1,4,5,6,10,12,14],[1,4,6,7,8,11,12],[1,4,7,8,9,10,13],[1,5,7,9,10,12,14],[1,6,7,8,9,11,14],[2,3,6,8,9,12,14],[2,3,7,8,10,12,14],[2,4,6,9,10,11,14],[2,4,7,8,9,12,13],[2,4,7,10,11,13,14],[2,5,6,7,11,12,13],[2,5,6,8,9,10,11],[3,4,5,7,9,11,14],[3,4,5,8,11,13,14],[3,4,6,9,10,12,13],[3,5,6,7,9,10,13],[3,5,7,8,10,11,12],[4,5,6,8,12,13,14]]; G[4024]:=Group([(1,10)(3,11)(5,14)(7,9)(8,13)]); # Design 4025: autom. group order 2, simple, residual B[4025]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,13,14],[1,2,5,9,11,12,13],[1,3,6,8,10,11,13],[1,3,9,11,12,13,14],[1,4,5,6,10,12,14],[1,4,6,7,8,11,12],[1,4,7,8,9,11,14],[1,5,7,9,10,12,14],[1,6,7,8,9,10,13],[2,3,6,8,9,12,14],[2,3,7,8,10,12,14],[2,4,6,9,10,11,14],[2,4,7,8,9,12,13],[2,4,7,10,11,13,14],[2,5,6,7,11,12,13],[2,5,6,8,9,10,11],[3,4,5,7,9,10,13],[3,4,5,8,11,13,14],[3,4,6,9,10,12,13],[3,5,6,7,9,11,14],[3,5,7,8,10,11,12],[4,5,6,8,12,13,14]]; G[4025]:=Group([(1,10)(3,11)(5,14)(7,9)(8,13)]); # Design 4026: autom. group order 2, simple B[4026]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,5,9,12,13,14],[1,3,6,8,10,13,14],[1,3,8,9,11,12,14],[1,4,5,6,11,12,14],[1,4,6,7,9,10,11],[1,4,7,8,9,10,14],[1,5,7,10,11,12,13],[1,6,7,8,9,12,13],[2,3,6,9,10,11,13],[2,3,7,9,11,12,14],[2,4,6,8,10,12,14],[2,4,7,8,9,11,13],[2,4,7,10,12,13,14],[2,5,6,7,8,11,14],[2,5,6,8,9,10,12],[3,4,5,7,8,12,13],[3,4,5,9,10,13,14],[3,4,6,8,11,12,13],[3,5,6,7,9,10,12],[3,5,7,8,10,11,14],[4,5,6,9,11,13,14]]; G[4026]:=Group([(1,12)(3,10)(5,14)(7,8)(9,13)]); # Design 4027: autom. group order 2, simple B[4027]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,5,8,10,13,14],[1,3,6,7,8,12,14],[1,3,7,9,11,13,14],[1,4,5,6,9,11,14],[1,4,6,7,9,12,13],[1,4,8,9,10,13,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,9,10,11,14],[2,4,6,10,12,13,14],[2,4,7,8,9,11,13],[2,4,7,8,11,12,14],[2,5,6,7,8,9,10],[2,5,6,9,11,12,14],[3,4,5,8,11,12,13],[3,4,5,9,10,12,14],[3,4,6,7,8,10,14],[3,5,6,8,11,13,14],[3,5,7,9,10,12,13],[4,5,6,7,10,11,13]]; G[4027]:=Group([(2,10)(3,11)(4,12)(5,8)(7,9)]); # Design 4028: autom. group order 2, simple B[4028]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,5,8,10,13,14],[1,3,6,7,8,12,14],[1,3,7,9,11,13,14],[1,4,5,6,9,11,14],[1,4,6,7,9,12,13],[1,4,8,9,10,13,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,9,12,14],[2,3,7,9,10,11,14],[2,4,6,10,12,13,14],[2,4,7,8,9,11,13],[2,4,7,8,11,12,14],[2,5,6,7,8,9,10],[2,5,6,9,11,12,13],[3,4,5,8,11,12,13],[3,4,5,9,10,12,14],[3,4,6,7,8,10,13],[3,5,6,8,11,13,14],[3,5,7,9,10,12,13],[4,5,6,7,10,11,14]]; G[4028]:=Group([(2,10)(3,11)(4,12)(5,8)(7,9)]); # Design 4029: autom. group order 2, simple B[4029]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,5,8,10,13,14],[1,3,6,7,8,12,14],[1,3,7,9,11,13,14],[1,4,5,6,9,11,14],[1,4,6,7,9,12,13],[1,4,8,9,10,13,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,9,10,11,14],[2,4,6,8,11,13,14],[2,4,7,8,11,12,13],[2,4,7,9,10,12,14],[2,5,6,7,8,9,10],[2,5,6,9,11,12,14],[3,4,5,8,11,12,14],[3,4,5,9,10,12,13],[3,4,6,7,8,10,14],[3,5,6,10,12,13,14],[3,5,7,8,9,11,13],[4,5,6,7,10,11,13]]; G[4029]:=Group([(2,10)(3,11)(4,12)(5,8)(7,9)]); # Design 4030: autom. group order 2, simple B[4030]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,5,8,10,13,14],[1,3,6,7,8,12,14],[1,3,7,9,11,13,14],[1,4,5,6,9,11,14],[1,4,6,7,9,12,13],[1,4,8,9,10,13,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,9,10,11,14],[2,4,6,8,11,13,14],[2,4,7,8,11,12,14],[2,4,7,9,10,12,13],[2,5,6,7,8,9,10],[2,5,6,9,11,12,14],[3,4,5,8,11,12,13],[3,4,5,9,10,12,14],[3,4,6,7,8,10,14],[3,5,6,10,12,13,14],[3,5,7,8,9,11,13],[4,5,6,7,10,11,13]]; G[4030]:=Group([(2,10)(3,11)(4,12)(5,8)(7,9)]); # Design 4031: autom. group order 2, simple B[4031]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,5,8,10,13,14],[1,3,6,7,8,12,14],[1,3,7,9,11,13,14],[1,4,5,6,9,11,14],[1,4,6,7,9,12,13],[1,4,8,9,10,13,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,9,12,14],[2,3,7,9,10,11,14],[2,4,6,8,11,13,14],[2,4,7,8,11,12,14],[2,4,7,9,10,12,13],[2,5,6,7,8,9,10],[2,5,6,9,11,12,13],[3,4,5,8,11,12,13],[3,4,5,9,10,12,14],[3,4,6,7,8,10,13],[3,5,6,10,12,13,14],[3,5,7,8,9,11,13],[4,5,6,7,10,11,14]]; G[4031]:=Group([(2,10)(3,11)(4,12)(5,8)(7,9)]); # Design 4032: autom. group order 2, simple, residual B[4032]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,9,12,13,14],[1,3,6,7,9,12,14],[1,3,7,9,10,11,13],[1,4,5,6,8,10,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,14],[1,5,8,9,10,11,12],[1,6,7,8,9,10,13],[2,3,6,7,8,11,12],[2,3,8,9,10,12,14],[2,4,6,8,9,12,13],[2,4,7,8,10,13,14],[2,4,7,9,10,11,14],[2,5,6,7,9,11,14],[2,5,6,10,11,12,13],[3,4,5,7,10,12,13],[3,4,5,9,11,13,14],[3,4,6,8,9,11,13],[3,5,6,8,10,11,14],[3,5,7,8,12,13,14],[4,5,6,7,9,10,12]]; G[4032]:=Group([(2,12)(3,11)(5,14)(6,8)(9,13)]); # Design 4033: autom. group order 2, simple, residual B[4033]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,5,9,12,13,14],[1,3,6,7,9,10,14],[1,3,7,8,10,11,12],[1,4,5,6,11,12,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,14],[1,5,8,10,11,13,14],[1,6,7,8,9,12,13],[2,3,6,7,11,13,14],[2,3,8,9,11,12,14],[2,4,6,8,10,12,14],[2,4,7,8,9,11,13],[2,4,7,10,12,13,14],[2,5,6,7,9,10,12],[2,5,6,8,9,10,11],[3,4,5,7,8,12,13],[3,4,5,9,10,13,14],[3,4,6,9,10,11,13],[3,5,6,8,10,12,13],[3,5,7,9,11,12,14],[4,5,6,7,8,11,14]]; G[4033]:=Group([(1,12)(3,10)(5,14)(7,8)(9,13)]); # Design 4034: autom. group order 2, simple, residual B[4034]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,9,12,13,14],[1,3,6,7,9,12,14],[1,3,7,9,10,11,13],[1,4,5,6,8,10,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,14],[1,5,8,9,10,11,12],[1,6,7,8,9,10,13],[2,3,6,8,10,11,12],[2,3,7,8,9,12,14],[2,4,6,8,9,12,13],[2,4,7,8,10,13,14],[2,4,7,9,10,11,14],[2,5,6,7,11,12,13],[2,5,6,9,10,11,14],[3,4,5,7,10,12,13],[3,4,5,9,11,13,14],[3,4,6,8,9,11,13],[3,5,6,7,8,11,14],[3,5,8,10,12,13,14],[4,5,6,7,9,10,12]]; G[4034]:=Group([(2,12)(3,11)(5,14)(6,8)(9,13)]); # Design 4035: autom. group order 2, simple B[4035]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,5,9,12,13,14],[1,3,6,7,9,10,14],[1,3,7,11,12,13,14],[1,4,5,6,11,12,14],[1,4,6,8,10,11,13],[1,4,7,8,9,10,14],[1,5,8,9,10,11,12],[1,6,7,8,9,12,13],[2,3,6,9,10,11,13],[2,3,8,9,11,12,14],[2,4,6,8,10,12,14],[2,4,7,8,9,11,13],[2,4,7,10,12,13,14],[2,5,6,7,8,11,14],[2,5,6,7,9,10,12],[3,4,5,7,8,12,13],[3,4,5,9,10,13,14],[3,4,6,7,9,11,12],[3,5,6,8,10,12,13],[3,5,7,8,10,11,14],[4,5,6,9,11,13,14]]; G[4035]:=Group([(1,12)(3,10)(5,14)(7,8)(9,13)]); # Design 4036: autom. group order 2, simple B[4036]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,5,9,12,13,14],[1,3,6,7,9,10,14],[1,3,7,8,10,11,12],[1,4,5,6,11,12,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,14],[1,5,8,10,11,13,14],[1,6,7,8,9,12,13],[2,3,6,9,10,11,13],[2,3,8,9,11,12,14],[2,4,6,8,10,12,14],[2,4,7,8,9,11,13],[2,4,7,10,12,13,14],[2,5,6,7,8,11,14],[2,5,6,7,9,10,12],[3,4,5,7,8,12,13],[3,4,5,9,10,13,14],[3,4,6,7,11,13,14],[3,5,6,8,10,12,13],[3,5,7,9,11,12,14],[4,5,6,8,9,10,11]]; G[4036]:=Group([(1,12)(3,10)(5,14)(7,8)(9,13)]); # Design 4037: autom. group order 2, simple, residual B[4037]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,9,11,13,14],[1,3,6,7,9,12,13],[1,3,7,8,10,11,12],[1,4,5,6,8,12,14],[1,4,6,9,10,11,14],[1,4,8,9,10,12,13],[1,5,7,10,12,13,14],[1,6,7,8,9,11,14],[2,3,6,8,10,13,14],[2,3,7,8,9,12,14],[2,4,6,8,11,12,13],[2,4,7,8,9,10,14],[2,4,7,11,12,13,14],[2,5,6,7,9,10,12],[2,5,6,9,10,11,12],[3,4,5,7,10,11,14],[3,4,5,9,12,13,14],[3,4,6,7,9,11,13],[3,5,6,8,11,12,14],[3,5,8,9,10,11,13],[4,5,6,7,8,10,13]]; G[4037]:=Group([(1,11)(3,12)(5,13)(7,8)(9,14)]); # Design 4038: autom. group order 2, simple, residual B[4038]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,9,12,13],[1,3,6,7,8,11,14],[1,3,7,8,10,12,13],[1,4,5,6,9,10,14],[1,4,6,8,11,12,14],[1,4,9,11,12,13,14],[1,5,7,9,10,11,12],[1,6,7,8,9,10,13],[2,3,6,9,10,11,12],[2,3,8,9,11,13,14],[2,4,6,7,9,11,13],[2,4,7,8,9,10,14],[2,4,7,8,10,12,14],[2,5,6,7,8,11,12],[2,5,6,10,12,13,14],[3,4,5,7,12,13,14],[3,4,5,8,10,11,13],[3,4,6,7,9,12,13],[3,5,6,8,9,12,14],[3,5,7,9,10,11,14],[4,5,6,8,10,11,13]]; G[4038]:=Group([(2,11)(3,12)(5,14)(6,9)(7,13)]); # Design 4039: autom. group order 2, simple, residual B[4039]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,9,12,13],[1,3,6,7,8,11,14],[1,3,7,8,10,12,13],[1,4,5,6,9,10,14],[1,4,6,8,11,12,14],[1,4,9,11,12,13,14],[1,5,7,9,10,11,12],[1,6,7,8,9,10,13],[2,3,6,8,9,11,12],[2,3,9,10,11,13,14],[2,4,6,7,9,11,13],[2,4,7,8,9,10,14],[2,4,7,8,10,12,14],[2,5,6,7,10,11,12],[2,5,6,8,12,13,14],[3,4,5,7,12,13,14],[3,4,5,8,10,11,13],[3,4,6,7,9,12,13],[3,5,6,9,10,12,14],[3,5,7,8,9,11,14],[4,5,6,8,10,11,13]]; G[4039]:=Group([(2,11)(3,12)(5,14)(6,9)(7,13)]); # Design 4040: autom. group order 2, simple, residual B[4040]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,5,9,11,12,13],[1,3,6,7,10,11,14],[1,3,7,8,11,12,13],[1,4,5,6,9,11,14],[1,4,6,8,10,12,14],[1,4,9,10,12,13,14],[1,5,7,8,9,10,12],[1,6,7,8,9,11,13],[2,3,6,8,9,10,12],[2,3,9,10,11,13,14],[2,4,6,7,9,10,13],[2,4,7,8,9,11,14],[2,4,7,8,11,12,14],[2,5,6,7,10,11,12],[2,5,6,8,12,13,14],[3,4,5,7,12,13,14],[3,4,5,8,10,11,13],[3,4,6,7,9,12,13],[3,5,6,9,11,12,14],[3,5,7,8,9,10,14],[4,5,6,8,10,11,13]]; G[4040]:=Group([(2,10)(3,12)(5,14)(6,9)(7,13)]); # Design 4041: autom. group order 2, simple, residual B[4041]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,5,9,12,13,14],[1,3,6,7,9,10,14],[1,3,9,10,11,12,13],[1,4,5,6,11,12,14],[1,4,6,8,10,11,13],[1,4,7,8,9,10,14],[1,5,7,8,11,12,14],[1,6,7,8,9,12,13],[2,3,6,7,11,13,14],[2,3,8,9,11,12,14],[2,4,6,8,10,12,14],[2,4,7,8,9,11,13],[2,4,7,10,12,13,14],[2,5,6,7,9,10,12],[2,5,6,8,9,10,11],[3,4,5,7,8,12,13],[3,4,5,9,10,13,14],[3,4,6,7,9,11,12],[3,5,6,8,10,12,13],[3,5,7,8,10,11,14],[4,5,6,9,11,13,14]]; G[4041]:=Group([(1,12)(3,10)(5,14)(7,8)(9,13)]); # Design 4042: autom. group order 2, simple B[4042]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,9,12,13],[1,3,6,7,8,9,10],[1,3,8,10,11,12,13],[1,4,5,6,11,12,14],[1,4,6,9,10,11,14],[1,4,7,8,9,12,14],[1,5,7,9,10,13,14],[1,6,7,8,11,12,13],[2,3,6,9,12,13,14],[2,3,7,9,11,12,14],[2,4,6,8,9,11,13],[2,4,7,8,10,12,14],[2,4,7,9,10,11,13],[2,5,6,7,8,10,11],[2,5,6,8,10,12,14],[3,4,5,7,10,12,13],[3,4,5,8,11,13,14],[3,4,6,7,8,13,14],[3,5,6,7,9,11,12],[3,5,8,9,10,11,14],[4,5,6,9,10,12,13]]; G[4042]:=Group([(2,12)(3,8)(4,13)(5,11)(6,7)(9,10)]); # Design 4043: autom. group order 2, simple B[4043]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,5,8,9,10,14],[1,3,6,8,9,12,13],[1,3,7,8,11,13,14],[1,4,5,6,11,13,14],[1,4,6,7,8,12,14],[1,4,7,8,9,10,13],[1,5,9,10,11,12,14],[1,6,7,9,10,11,12],[2,3,6,7,9,12,14],[2,3,7,8,10,11,14],[2,4,6,8,10,12,14],[2,4,7,9,11,13,14],[2,4,8,9,11,12,13],[2,5,6,7,9,10,13],[2,5,6,8,11,12,13],[3,4,5,7,9,11,12],[3,4,5,10,12,13,14],[3,4,6,9,10,13,14],[3,5,6,8,9,11,14],[3,5,7,8,10,12,13],[4,5,6,7,8,10,11]]; G[4043]:=Group([(2,10)(3,11)(4,12)(5,9)(8,14)]); # Design 4044: autom. group order 2, simple B[4044]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,5,9,12,13,14],[1,3,6,9,10,12,13],[1,3,7,8,10,11,12],[1,4,5,6,11,12,14],[1,4,6,7,9,11,14],[1,4,7,8,9,10,14],[1,5,8,10,11,13,14],[1,6,7,8,9,12,13],[2,3,6,7,11,13,14],[2,3,8,9,11,12,14],[2,4,6,8,10,12,14],[2,4,7,8,9,11,13],[2,4,7,10,12,13,14],[2,5,6,7,9,10,12],[2,5,6,8,9,10,11],[3,4,5,7,8,12,13],[3,4,5,9,10,13,14],[3,4,6,9,10,11,13],[3,5,6,7,8,10,14],[3,5,7,9,11,12,14],[4,5,6,8,11,12,13]]; G[4044]:=Group([(1,12)(3,10)(5,14)(7,8)(9,13)]); # Design 4045: autom. group order 2, simple B[4045]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,5,8,9,10,14],[1,3,6,8,9,12,13],[1,3,7,8,11,13,14],[1,4,5,6,11,13,14],[1,4,6,7,8,12,14],[1,4,7,8,9,10,13],[1,5,9,10,11,12,14],[1,6,7,9,10,11,12],[2,3,6,9,12,13,14],[2,3,7,8,10,11,14],[2,4,6,8,10,12,14],[2,4,7,9,11,13,14],[2,4,8,9,11,12,13],[2,5,6,7,8,11,12],[2,5,6,7,9,10,13],[3,4,5,7,9,11,12],[3,4,5,10,12,13,14],[3,4,6,7,9,10,14],[3,5,6,8,9,11,14],[3,5,7,8,10,12,13],[4,5,6,8,10,11,13]]; G[4045]:=Group([(2,10)(3,11)(4,12)(5,9)(8,14)]); # Design 4046: autom. group order 2, simple, residual B[4046]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,9,11,13,14],[1,3,6,9,11,12,14],[1,3,7,8,10,11,12],[1,4,5,6,8,12,14],[1,4,6,7,9,10,13],[1,4,8,9,10,12,13],[1,5,7,10,12,13,14],[1,6,7,8,9,11,14],[2,3,6,8,10,13,14],[2,3,7,8,9,12,14],[2,4,6,8,11,12,13],[2,4,7,8,9,10,14],[2,4,7,11,12,13,14],[2,5,6,7,9,10,12],[2,5,6,9,10,11,12],[3,4,5,7,10,11,14],[3,4,5,9,12,13,14],[3,4,6,7,9,11,13],[3,5,6,7,8,12,13],[3,5,8,9,10,11,13],[4,5,6,8,10,11,14]]; G[4046]:=Group([(1,11)(3,12)(5,13)(7,8)(9,14)]); # Design 4047: autom. group order 2, simple, residual B[4047]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,5,9,12,13,14],[1,3,6,9,10,12,13],[1,3,7,9,10,11,14],[1,4,5,6,11,12,14],[1,4,6,8,10,11,13],[1,4,7,8,9,10,14],[1,5,7,8,11,12,14],[1,6,7,8,9,12,13],[2,3,6,7,11,13,14],[2,3,8,9,11,12,14],[2,4,6,8,10,12,14],[2,4,7,8,9,11,13],[2,4,7,10,12,13,14],[2,5,6,7,9,10,12],[2,5,6,8,9,10,11],[3,4,5,7,8,12,13],[3,4,5,9,10,13,14],[3,4,6,7,9,11,12],[3,5,6,7,8,10,14],[3,5,8,10,11,12,13],[4,5,6,9,11,13,14]]; G[4047]:=Group([(1,12)(3,10)(5,14)(7,8)(9,13)]); # Design 4048: autom. group order 2, simple, residual B[4048]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,5,9,12,13,14],[1,3,6,9,10,12,13],[1,3,7,9,10,11,14],[1,4,5,6,11,12,14],[1,4,6,8,10,11,13],[1,4,7,8,9,12,13],[1,5,7,8,11,12,14],[1,6,7,8,9,10,14],[2,3,6,7,11,13,14],[2,3,8,9,11,12,14],[2,4,6,8,10,12,14],[2,4,7,8,9,11,13],[2,4,7,10,12,13,14],[2,5,6,7,9,10,12],[2,5,6,8,9,10,11],[3,4,5,7,8,10,14],[3,4,5,9,10,13,14],[3,4,6,7,9,11,12],[3,5,6,7,8,12,13],[3,5,8,10,11,12,13],[4,5,6,9,11,13,14]]; G[4048]:=Group([(1,12)(3,10)(5,14)(7,8)(9,13)]); # Design 4049: autom. group order 2, simple B[4049]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,5,9,12,13,14],[1,3,6,7,8,12,14],[1,3,7,9,11,13,14],[1,4,5,6,9,11,14],[1,4,6,7,9,12,13],[1,4,7,8,10,13,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,12,13,14],[2,3,7,9,10,11,14],[2,4,6,7,8,11,13],[2,4,7,9,10,12,13],[2,4,8,9,11,12,14],[2,5,6,7,8,9,10],[2,5,6,7,11,12,14],[3,4,5,7,10,12,14],[3,4,5,8,11,12,13],[3,4,6,8,9,10,14],[3,5,6,9,10,12,13],[3,5,7,8,9,11,13],[4,5,6,10,11,13,14]]; G[4049]:=Group([(2,10)(3,11)(4,12)(5,8)(7,9)]); # Design 4050: autom. group order 2, simple B[4050]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,5,9,12,13,14],[1,3,6,7,8,12,14],[1,3,7,9,11,13,14],[1,4,5,6,9,11,14],[1,4,6,7,9,12,13],[1,4,7,8,10,13,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,12,13,14],[2,3,7,9,10,11,14],[2,4,6,7,8,11,14],[2,4,7,9,10,12,13],[2,4,8,9,11,12,14],[2,5,6,7,8,9,10],[2,5,6,7,11,12,13],[3,4,5,7,10,12,14],[3,4,5,8,11,12,13],[3,4,6,8,9,10,13],[3,5,6,9,10,12,14],[3,5,7,8,9,11,13],[4,5,6,10,11,13,14]]; G[4050]:=Group([(2,10)(3,11)(4,12)(5,8)(7,9)]); # Design 4051: autom. group order 2, simple B[4051]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,5,9,10,13,14],[1,3,6,8,9,12,14],[1,3,7,8,11,13,14],[1,4,5,6,7,11,14],[1,4,6,7,8,12,13],[1,4,7,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,7,9,12,13],[2,3,7,8,10,11,14],[2,4,6,8,9,11,14],[2,4,7,8,10,12,13],[2,4,7,9,11,12,14],[2,5,6,7,8,9,10],[2,5,6,11,12,13,14],[3,4,5,8,10,12,14],[3,4,5,9,11,12,13],[3,4,6,9,10,13,14],[3,5,6,7,10,12,14],[3,5,7,8,9,11,13],[4,5,6,8,10,11,13]]; G[4051]:=Group([(2,10)(3,11)(4,12)(5,9)(7,8)]); # Design 4052: autom. group order 2, simple B[4052]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,5,9,10,13,14],[1,3,6,8,9,12,14],[1,3,7,8,11,13,14],[1,4,5,6,7,11,14],[1,4,6,7,8,12,13],[1,4,7,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,7,9,12,13],[2,3,7,8,10,11,14],[2,4,6,8,9,11,14],[2,4,7,8,10,12,14],[2,4,7,9,11,12,13],[2,5,6,7,8,9,10],[2,5,6,11,12,13,14],[3,4,5,8,10,12,13],[3,4,5,9,11,12,14],[3,4,6,9,10,13,14],[3,5,6,7,10,12,14],[3,5,7,8,9,11,13],[4,5,6,8,10,11,13]]; G[4052]:=Group([(2,10)(3,11)(4,12)(5,9)(7,8)]); # Design 4053: autom. group order 2, simple B[4053]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,5,9,10,13,14],[1,3,6,8,9,12,14],[1,3,7,8,11,13,14],[1,4,5,6,7,11,14],[1,4,6,7,8,12,13],[1,4,7,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,7,9,12,14],[2,3,7,8,10,11,14],[2,4,6,8,9,11,13],[2,4,7,8,10,12,13],[2,4,7,9,11,12,14],[2,5,6,7,8,9,10],[2,5,6,11,12,13,14],[3,4,5,8,10,12,14],[3,4,5,9,11,12,13],[3,4,6,9,10,13,14],[3,5,6,7,10,12,13],[3,5,7,8,9,11,13],[4,5,6,8,10,11,14]]; G[4053]:=Group([(2,10)(3,11)(4,12)(5,9)(7,8)]); # Design 4054: autom. group order 2, simple B[4054]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,10,12,13],[1,3,6,7,9,12,13],[1,3,7,8,10,11,14],[1,4,5,6,8,9,14],[1,4,6,8,11,12,14],[1,4,9,11,12,13,14],[1,5,7,9,10,11,12],[1,6,7,8,9,10,13],[2,3,7,8,9,11,14],[2,3,8,9,12,13,14],[2,4,6,7,9,11,13],[2,4,6,7,10,12,14],[2,4,7,8,9,10,12],[2,5,6,8,11,12,13],[2,5,6,9,10,11,14],[3,4,5,7,12,13,14],[3,4,5,9,10,11,13],[3,4,6,8,10,11,13],[3,5,6,7,8,11,12],[3,5,6,9,10,12,14],[4,5,7,8,10,13,14]]; G[4054]:=Group([(2,11)(3,12)(5,14)(6,9)(7,13)]); # Design 4055: autom. group order 2, simple B[4055]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,10,11,13],[1,2,5,8,12,13,14],[1,3,6,8,9,11,13],[1,3,7,8,10,12,14],[1,4,5,6,7,9,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,14],[1,5,8,9,10,11,12],[1,6,7,8,9,10,13],[2,3,7,8,9,11,14],[2,3,7,9,12,13,14],[2,4,6,8,9,12,13],[2,4,6,8,10,11,14],[2,4,7,9,10,11,13],[2,5,6,7,8,11,12],[2,5,6,9,10,12,14],[3,4,5,8,11,13,14],[3,4,5,9,10,12,13],[3,4,6,7,8,10,12],[3,5,6,7,11,12,13],[3,5,6,9,10,11,14],[4,5,7,8,10,13,14]]; G[4055]:=Group([(2,12)(3,11)(5,14)(6,9)(8,13)]); # Design 4056: autom. group order 2, simple B[4056]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,10,12,14],[1,3,6,8,12,13,14],[1,3,7,10,11,13,14],[1,4,5,6,11,12,14],[1,4,6,9,11,12,13],[1,4,7,8,9,13,14],[1,5,7,8,9,10,11],[1,6,7,8,9,10,12],[2,3,7,9,11,12,13],[2,3,8,9,11,12,14],[2,4,6,7,8,11,14],[2,4,6,9,10,13,14],[2,4,7,8,10,12,14],[2,5,6,7,9,12,13],[2,5,6,8,10,11,13],[3,4,5,7,8,12,13],[3,4,5,9,10,13,14],[3,4,6,7,9,10,11],[3,5,6,7,10,12,14],[3,5,6,8,9,11,14],[4,5,8,10,11,12,13]]; G[4056]:=Group([(1,4)(2,11)(3,12)(5,6)(7,14)(8,13)]); # Design 4057: autom. group order 2, simple B[4057]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,10,12,14],[1,3,6,8,12,13,14],[1,3,7,10,11,13,14],[1,4,5,6,11,12,14],[1,4,6,9,11,12,13],[1,4,7,8,9,13,14],[1,5,7,8,9,10,11],[1,6,7,8,9,10,12],[2,3,7,9,11,12,13],[2,3,8,9,11,12,14],[2,4,6,7,8,11,14],[2,4,6,9,10,13,14],[2,4,7,8,10,12,14],[2,5,6,7,10,12,13],[2,5,6,8,9,11,13],[3,4,5,7,8,12,13],[3,4,5,9,10,13,14],[3,4,6,7,9,10,11],[3,5,6,7,9,12,14],[3,5,6,8,10,11,14],[4,5,8,10,11,12,13]]; G[4057]:=Group([(1,4)(2,11)(3,12)(5,6)(7,14)(8,13)]); # Design 4058: autom. group order 2, simple B[4058]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,5,9,12,13,14],[1,3,6,7,8,12,14],[1,3,7,9,11,13,14],[1,4,5,6,9,11,14],[1,4,6,7,9,12,13],[1,4,7,8,10,13,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,7,8,9,12,13],[2,3,7,9,10,11,14],[2,4,6,7,8,11,13],[2,4,6,10,12,13,14],[2,4,8,9,11,12,14],[2,5,6,7,8,9,10],[2,5,6,7,11,12,14],[3,4,5,7,10,12,14],[3,4,5,8,11,12,13],[3,4,6,8,9,10,14],[3,5,6,8,11,13,14],[3,5,6,9,10,12,13],[4,5,7,9,10,11,13]]; G[4058]:=Group([(2,10)(3,11)(4,12)(5,8)(7,9)]); # Design 4059: autom. group order 2, simple B[4059]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,5,9,12,13,14],[1,3,6,7,8,12,14],[1,3,7,9,11,13,14],[1,4,5,6,9,11,14],[1,4,6,7,9,12,13],[1,4,7,8,10,13,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,7,8,9,12,13],[2,3,7,9,10,11,14],[2,4,6,7,8,11,14],[2,4,6,10,12,13,14],[2,4,8,9,11,12,14],[2,5,6,7,8,9,10],[2,5,6,7,11,12,13],[3,4,5,7,10,12,14],[3,4,5,8,11,12,13],[3,4,6,8,9,10,13],[3,5,6,8,11,13,14],[3,5,6,9,10,12,14],[4,5,7,9,10,11,13]]; G[4059]:=Group([(2,10)(3,11)(4,12)(5,8)(7,9)]); # Design 4060: autom. group order 2, simple, residual B[4060]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,13],[1,2,5,9,11,12,14],[1,3,6,7,8,11,14],[1,3,7,8,9,12,13],[1,4,5,6,12,13,14],[1,4,7,10,11,13,14],[1,4,8,9,11,13,14],[1,5,6,9,10,11,12],[1,6,7,8,9,10,12],[2,3,6,7,9,11,14],[2,3,8,10,11,12,13],[2,4,6,7,9,12,13],[2,4,6,8,9,11,13],[2,4,6,8,10,12,14],[2,5,7,8,11,12,14],[2,5,7,9,10,13,14],[3,4,5,7,11,12,13],[3,4,5,8,9,10,14],[3,4,7,9,10,12,14],[3,5,6,8,12,13,14],[3,5,6,9,10,11,13],[4,5,6,7,8,10,11]]; G[4060]:=Group([(2,14)(3,13)(5,11)(6,10)]); # Design 4061: autom. group order 2, simple, residual B[4061]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,9,10,12,14],[1,3,6,9,11,12,13],[1,3,7,8,9,12,14],[1,4,5,6,12,13,14],[1,4,7,10,11,13,14],[1,4,8,9,11,13,14],[1,5,6,7,8,10,11],[1,6,7,8,9,10,12],[2,3,6,8,11,12,13],[2,3,7,9,10,11,14],[2,4,6,7,8,12,14],[2,4,6,7,9,10,13],[2,4,6,8,9,11,14],[2,5,7,9,11,12,13],[2,5,8,10,12,13,14],[3,4,5,7,11,12,14],[3,4,5,8,9,10,13],[3,4,7,8,10,12,13],[3,5,6,7,9,13,14],[3,5,6,8,10,11,14],[4,5,6,9,10,11,12]]; G[4061]:=Group([(2,13)(3,14)(5,11)(6,10)]); # Design 4062: autom. group order 2, simple, residual B[4062]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,5,9,12,13,14],[1,3,6,7,8,10,12],[1,3,9,10,11,12,13],[1,4,5,6,9,10,14],[1,4,7,8,11,13,14],[1,4,7,9,10,11,14],[1,5,6,8,11,12,14],[1,6,7,8,9,12,13],[2,3,6,9,11,12,14],[2,3,7,8,9,11,14],[2,4,6,8,9,11,13],[2,4,6,10,12,13,14],[2,4,7,8,10,12,14],[2,5,6,7,10,11,13],[2,5,7,8,9,10,12],[3,4,5,7,11,12,13],[3,4,5,8,12,13,14],[3,4,6,8,9,10,13],[3,5,6,8,10,11,14],[3,5,7,9,10,13,14],[4,5,6,7,9,11,12]]; G[4062]:=Group([(1,12)(3,10)(5,14)(6,8)(9,13)]); # Design 4063: autom. group order 2, simple B[4063]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,5,9,12,13,14],[1,3,6,7,8,10,12],[1,3,9,10,11,12,13],[1,4,5,6,10,11,14],[1,4,7,8,11,13,14],[1,4,7,9,10,13,14],[1,5,6,8,9,12,14],[1,6,7,8,9,11,12],[2,3,6,11,12,13,14],[2,3,7,8,9,11,14],[2,4,6,8,9,11,13],[2,4,6,9,10,12,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,11],[2,5,7,8,10,12,13],[3,4,5,7,9,12,13],[3,4,5,8,11,12,14],[3,4,6,8,9,10,13],[3,5,6,8,10,13,14],[3,5,7,9,10,11,14],[4,5,6,7,11,12,13]]; G[4063]:=Group([(1,12)(3,10)(5,14)(6,8)]); # Design 4064: autom. group order 2, simple, residual B[4064]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,5,9,12,13,14],[1,3,6,7,8,10,12],[1,3,8,10,11,13,14],[1,4,5,6,9,10,14],[1,4,7,9,10,11,14],[1,4,7,9,11,12,13],[1,5,6,8,11,12,14],[1,6,7,8,9,12,13],[2,3,6,9,11,12,14],[2,3,7,8,9,11,14],[2,4,6,8,9,11,13],[2,4,6,10,12,13,14],[2,4,7,8,10,12,14],[2,5,6,7,10,11,13],[2,5,7,8,9,10,12],[3,4,5,7,11,12,13],[3,4,5,8,12,13,14],[3,4,6,8,9,10,13],[3,5,6,9,10,11,12],[3,5,7,9,10,13,14],[4,5,6,7,8,11,14]]; G[4064]:=Group([(1,12)(3,10)(5,14)(6,8)(9,13)]); # Design 4065: autom. group order 2, simple, residual B[4065]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,5,9,12,13,14],[1,3,6,7,8,10,12],[1,3,8,9,11,12,14],[1,4,5,6,9,10,14],[1,4,7,8,11,13,14],[1,4,7,9,10,11,14],[1,5,6,10,11,12,13],[1,6,7,8,9,12,13],[2,3,6,9,11,12,14],[2,3,7,9,10,11,13],[2,4,6,8,9,11,13],[2,4,6,10,12,13,14],[2,4,7,8,10,12,14],[2,5,6,7,8,11,14],[2,5,7,8,9,10,12],[3,4,5,7,11,12,13],[3,4,5,8,12,13,14],[3,4,6,8,9,10,13],[3,5,6,8,10,11,14],[3,5,7,9,10,13,14],[4,5,6,7,9,11,12]]; G[4065]:=Group([(1,12)(3,10)(5,14)(6,8)(9,13)]); # Design 4066: autom. group order 2, simple, residual B[4066]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,5,9,10,13,14],[1,3,6,8,10,11,12],[1,3,7,8,9,12,13],[1,4,5,6,8,12,14],[1,4,7,9,10,11,14],[1,4,7,9,11,12,13],[1,5,6,11,12,13,14],[1,6,7,8,9,10,14],[2,3,6,9,11,12,14],[2,3,7,8,11,13,14],[2,4,6,7,10,12,13],[2,4,6,8,9,11,14],[2,4,8,10,12,13,14],[2,5,6,7,9,10,12],[2,5,7,8,9,11,12],[3,4,5,7,10,11,14],[3,4,5,9,12,13,14],[3,4,6,8,9,10,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,14],[4,5,6,7,8,11,13]]; G[4066]:=Group([(1,10)(3,12)(5,13)(9,14)]); # Design 4067: autom. group order 2, simple, residual B[4067]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,5,9,10,13,14],[1,3,6,8,10,11,12],[1,3,7,8,12,13,14],[1,4,5,6,8,12,14],[1,4,7,9,10,11,14],[1,4,7,9,11,12,13],[1,5,6,9,11,12,13],[1,6,7,8,9,10,14],[2,3,6,9,11,12,14],[2,3,7,8,9,11,13],[2,4,6,7,10,12,13],[2,4,6,8,9,11,14],[2,4,8,10,12,13,14],[2,5,6,7,9,10,12],[2,5,7,8,11,12,14],[3,4,5,7,10,11,14],[3,4,5,9,12,13,14],[3,4,6,8,9,10,13],[3,5,6,10,11,13,14],[3,5,7,8,9,10,12],[4,5,6,7,8,11,13]]; G[4067]:=Group([(1,10)(3,12)(5,13)(9,14)]); # Design 4068: autom. group order 2, simple, residual B[4068]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,5,9,12,13,14],[1,3,6,8,10,11,12],[1,3,7,9,10,12,13],[1,4,5,6,9,10,14],[1,4,7,8,11,13,14],[1,4,7,9,10,11,14],[1,5,6,8,11,12,14],[1,6,7,8,9,12,13],[2,3,6,9,11,12,14],[2,3,7,8,9,11,14],[2,4,6,8,9,11,13],[2,4,6,10,12,13,14],[2,4,7,8,10,12,14],[2,5,6,7,10,11,13],[2,5,7,8,9,10,12],[3,4,5,7,11,12,13],[3,4,5,8,12,13,14],[3,4,6,8,9,10,13],[3,5,6,7,8,10,14],[3,5,9,10,11,13,14],[4,5,6,7,9,11,12]]; G[4068]:=Group([(1,12)(3,10)(5,14)(6,8)(9,13)]); # Design 4069: autom. group order 2, simple, residual B[4069]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,5,9,12,13,14],[1,3,6,8,10,11,12],[1,3,7,9,10,12,13],[1,4,5,6,9,10,14],[1,4,7,8,11,13,14],[1,4,7,9,11,12,13],[1,5,6,8,11,12,14],[1,6,7,8,9,10,14],[2,3,6,9,11,12,14],[2,3,7,8,9,11,14],[2,4,6,8,9,11,13],[2,4,6,10,12,13,14],[2,4,7,8,10,12,14],[2,5,6,7,10,11,13],[2,5,7,8,9,10,12],[3,4,5,7,10,11,14],[3,4,5,8,12,13,14],[3,4,6,8,9,10,13],[3,5,6,7,8,12,13],[3,5,9,10,11,13,14],[4,5,6,7,9,11,12]]; G[4069]:=Group([(1,12)(3,10)(5,14)(6,8)(9,13)]); # Design 4070: autom. group order 2, simple, residual B[4070]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,5,9,12,13,14],[1,3,6,8,10,12,13],[1,3,7,9,10,11,12],[1,4,5,6,10,11,14],[1,4,7,8,11,13,14],[1,4,7,9,10,13,14],[1,5,6,8,9,12,14],[1,6,7,8,9,11,12],[2,3,6,11,12,13,14],[2,3,7,8,9,11,14],[2,4,6,8,9,11,13],[2,4,6,9,10,12,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,11],[2,5,7,8,10,12,13],[3,4,5,7,9,12,13],[3,4,5,8,11,12,14],[3,4,6,8,9,10,13],[3,5,6,7,8,10,14],[3,5,9,10,11,13,14],[4,5,6,7,11,12,13]]; G[4070]:=Group([(1,12)(3,10)(5,14)(6,8)]); # Design 4071: autom. group order 2, simple B[4071]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,5,9,12,13,14],[1,3,6,8,10,11,12],[1,3,7,9,10,12,13],[1,4,5,6,8,12,14],[1,4,7,8,11,13,14],[1,4,7,9,11,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,10,14],[2,3,6,9,11,12,14],[2,3,7,8,9,11,14],[2,4,6,8,9,11,13],[2,4,6,10,12,13,14],[2,4,7,8,10,12,14],[2,5,6,7,10,11,13],[2,5,7,8,9,10,12],[3,4,5,7,10,11,14],[3,4,5,9,10,13,14],[3,4,6,8,9,10,13],[3,5,6,7,8,12,13],[3,5,8,11,12,13,14],[4,5,6,7,9,11,12]]; G[4071]:=Group([(1,12)(3,10)(5,14)(6,8)(9,13)]); # Design 4072: autom. group order 2, simple B[4072]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,5,9,12,13,14],[1,3,6,8,10,11,12],[1,3,7,8,10,13,14],[1,4,5,6,9,10,14],[1,4,7,9,10,11,14],[1,4,7,9,11,12,13],[1,5,6,8,11,12,14],[1,6,7,8,9,12,13],[2,3,6,9,11,12,14],[2,3,7,8,9,11,14],[2,4,6,8,9,11,13],[2,4,6,10,12,13,14],[2,4,7,8,10,12,14],[2,5,6,7,10,11,13],[2,5,7,8,9,10,12],[3,4,5,7,11,12,13],[3,4,5,8,12,13,14],[3,4,6,8,9,10,13],[3,5,6,7,9,10,12],[3,5,9,10,11,13,14],[4,5,6,7,8,11,14]]; G[4072]:=Group([(1,12)(3,10)(5,14)(6,8)(9,13)]); # Design 4073: autom. group order 2, simple, residual B[4073]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,7,10,12,14],[1,3,6,8,9,11,13],[1,3,7,8,9,12,14],[1,4,5,6,9,13,14],[1,4,7,11,12,13,14],[1,4,8,10,11,13,14],[1,5,6,9,10,11,12],[1,6,7,8,9,10,12],[2,3,6,8,11,12,14],[2,3,7,9,10,11,13],[2,4,6,7,9,11,14],[2,4,6,9,10,12,13],[2,4,7,8,9,12,13],[2,5,6,8,12,13,14],[2,5,8,9,10,11,14],[3,4,5,8,10,12,13],[3,4,5,9,11,12,14],[3,4,6,7,8,10,14],[3,5,6,7,11,12,13],[3,5,7,9,10,13,14],[4,5,6,7,8,10,11]]; G[4073]:=Group([(2,13)(3,14)(5,11)(6,10)(7,8)(9,12)]); # Design 4074: autom. group order 2, simple B[4074]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,5,9,11,13,14],[1,3,6,7,9,12,14],[1,3,7,9,10,11,12],[1,4,5,6,11,12,14],[1,4,7,8,9,11,13],[1,4,8,9,12,13,14],[1,5,6,8,10,12,14],[1,6,7,8,10,11,13],[2,3,6,8,9,11,14],[2,3,7,11,12,13,14],[2,4,6,7,8,11,14],[2,4,6,9,10,12,13],[2,4,7,8,10,12,14],[2,5,6,7,9,12,13],[2,5,8,9,10,11,12],[3,4,5,7,8,12,13],[3,4,5,10,11,13,14],[3,4,6,9,10,13,14],[3,5,6,8,11,12,13],[3,5,7,8,9,10,14],[4,5,6,7,9,10,11]]; G[4074]:=Group([(2,14)(3,12)(4,6)(7,11)(9,10)]); # Design 4075: autom. group order 2, simple B[4075]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,9,13,14],[1,2,5,10,11,13,14],[1,3,6,7,9,12,14],[1,3,7,9,10,11,12],[1,4,5,6,11,12,14],[1,4,7,8,9,11,13],[1,4,8,9,12,13,14],[1,5,6,8,10,12,14],[1,6,7,8,10,11,13],[2,3,6,8,9,11,14],[2,3,7,11,12,13,14],[2,4,6,7,8,11,14],[2,4,6,9,10,12,13],[2,4,7,8,10,12,14],[2,5,6,9,11,12,13],[2,5,7,8,9,10,12],[3,4,5,7,10,13,14],[3,4,5,8,11,12,13],[3,4,6,9,10,13,14],[3,5,6,7,8,12,13],[3,5,8,9,10,11,14],[4,5,6,7,9,10,11]]; G[4075]:=Group([(2,14)(3,12)(4,6)(7,11)(9,10)]); # Design 4076: autom. group order 2, simple, residual B[4076]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,13],[1,2,5,9,11,12,14],[1,3,6,7,8,11,14],[1,3,7,8,9,12,13],[1,4,5,6,12,13,14],[1,4,7,10,11,13,14],[1,4,8,9,11,13,14],[1,5,6,9,10,11,12],[1,6,7,8,9,10,12],[2,3,6,8,11,12,13],[2,3,7,9,10,11,14],[2,4,6,8,9,11,13],[2,4,6,8,10,12,14],[2,4,7,9,10,12,13],[2,5,6,7,9,13,14],[2,5,7,8,11,12,14],[3,4,5,7,11,12,13],[3,4,5,8,9,10,14],[3,4,6,7,9,12,14],[3,5,6,9,10,11,13],[3,5,8,10,12,13,14],[4,5,6,7,8,10,11]]; G[4076]:=Group([(2,14)(3,13)(5,11)(6,10)]); # Design 4077: autom. group order 2, simple, residual B[4077]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,8,10,12,14],[1,3,6,7,9,11,13],[1,3,7,8,9,12,14],[1,4,5,6,9,13,14],[1,4,7,11,12,13,14],[1,4,8,10,11,13,14],[1,5,6,9,10,11,12],[1,6,7,8,9,10,12],[2,3,6,8,11,12,13],[2,3,7,9,10,11,14],[2,4,6,8,9,11,14],[2,4,6,9,10,12,13],[2,4,7,8,9,12,13],[2,5,6,7,11,12,14],[2,5,7,9,10,13,14],[3,4,5,7,10,12,13],[3,4,5,9,11,12,14],[3,4,6,7,8,10,14],[3,5,6,8,12,13,14],[3,5,8,9,10,11,13],[4,5,6,7,8,10,11]]; G[4077]:=Group([(2,13)(3,14)(5,11)(6,10)(7,8)(9,12)]); # Design 4078: autom. group order 2, simple, residual B[4078]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,9,12,13,14],[1,3,6,7,8,11,12],[1,3,9,10,11,12,13],[1,4,5,6,9,11,14],[1,4,7,8,10,13,14],[1,4,7,9,10,11,14],[1,5,6,8,10,12,14],[1,6,7,8,9,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,10,14],[2,4,6,8,9,10,13],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,6,7,10,11,13],[2,5,8,9,10,11,12],[3,4,5,7,10,12,13],[3,4,5,8,12,13,14],[3,4,6,8,9,11,13],[3,5,6,8,10,11,14],[3,5,7,9,11,13,14],[4,5,6,7,9,10,12]]; G[4078]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 4079: autom. group order 2, simple B[4079]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,9,12,13,14],[1,3,6,7,8,11,12],[1,3,9,10,11,12,13],[1,4,5,6,10,11,14],[1,4,7,8,10,13,14],[1,4,7,9,11,13,14],[1,5,6,8,9,12,14],[1,6,7,8,9,10,12],[2,3,6,7,12,13,14],[2,3,7,8,9,10,14],[2,4,6,8,9,10,13],[2,4,6,9,11,12,14],[2,4,7,8,11,12,14],[2,5,6,7,9,10,11],[2,5,8,10,11,12,13],[3,4,5,7,9,12,13],[3,4,5,8,10,12,14],[3,4,6,8,9,11,13],[3,5,6,8,11,13,14],[3,5,7,9,10,11,14],[4,5,6,7,10,12,13]]; G[4079]:=Group([(1,12)(3,11)(5,14)(6,8)]); # Design 4080: autom. group order 2, simple, residual B[4080]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,9,12,13,14],[1,3,6,7,8,11,12],[1,3,8,10,11,13,14],[1,4,5,6,9,11,14],[1,4,7,9,10,11,14],[1,4,7,9,10,12,13],[1,5,6,8,10,12,14],[1,6,7,8,9,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,10,14],[2,4,6,8,9,10,13],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,6,7,10,11,13],[2,5,8,9,10,11,12],[3,4,5,7,10,12,13],[3,4,5,8,12,13,14],[3,4,6,8,9,11,13],[3,5,6,9,10,11,12],[3,5,7,9,11,13,14],[4,5,6,7,8,10,14]]; G[4080]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 4081: autom. group order 2, simple, residual B[4081]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,9,12,13,14],[1,3,6,7,8,11,12],[1,3,8,9,10,12,14],[1,4,5,6,9,11,14],[1,4,7,8,10,13,14],[1,4,7,9,10,11,14],[1,5,6,10,11,12,13],[1,6,7,8,9,12,13],[2,3,6,7,9,12,14],[2,3,7,9,10,11,13],[2,4,6,8,9,10,13],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,6,7,8,10,14],[2,5,8,9,10,11,12],[3,4,5,7,10,12,13],[3,4,5,8,12,13,14],[3,4,6,8,9,11,13],[3,5,6,8,10,11,14],[3,5,7,9,11,13,14],[4,5,6,7,9,10,12]]; G[4081]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 4082: autom. group order 2, simple B[4082]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,10,12,14],[1,3,6,7,12,13,14],[1,3,8,9,11,12,13],[1,4,5,6,11,13,14],[1,4,7,8,9,12,14],[1,4,7,8,10,11,13],[1,5,6,8,9,10,14],[1,6,7,9,10,11,12],[2,3,6,8,11,12,14],[2,3,7,9,10,13,14],[2,4,6,7,8,12,14],[2,4,6,7,9,10,11],[2,4,8,9,11,13,14],[2,5,6,9,11,12,13],[2,5,7,8,10,12,13],[3,4,5,7,9,12,13],[3,4,5,10,11,12,14],[3,4,6,9,10,13,14],[3,5,6,7,8,9,11],[3,5,7,8,10,11,14],[4,5,6,8,10,12,13]]; G[4082]:=Group([(1,9)(2,6)(3,11)(4,7)(5,10)(8,12)]); # Design 4083: autom. group order 2, simple, residual B[4083]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,5,9,11,12,14],[1,3,6,7,9,11,14],[1,3,9,10,12,13,14],[1,4,5,6,12,13,14],[1,4,7,8,9,11,13],[1,4,7,8,11,12,13],[1,5,6,8,10,11,12],[1,6,7,8,9,10,14],[2,3,6,8,11,13,14],[2,3,7,8,11,12,14],[2,4,6,7,12,13,14],[2,4,6,9,10,11,13],[2,4,8,9,10,12,14],[2,5,6,7,8,9,12],[2,5,7,9,10,11,13],[3,4,5,7,10,11,14],[3,4,5,8,9,13,14],[3,4,6,7,9,10,12],[3,5,6,9,11,12,13],[3,5,7,8,10,12,13],[4,5,6,8,10,11,14]]; G[4083]:=Group([(1,7)(2,5)(3,10)(4,13)(6,14)(8,11)]); # Design 4084: autom. group order 2, simple B[4084]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,9,12,13],[1,3,6,7,8,9,10],[1,3,8,10,11,12,13],[1,4,5,6,11,12,14],[1,4,7,8,9,12,14],[1,4,7,9,10,11,14],[1,5,6,9,10,13,14],[1,6,7,8,11,12,13],[2,3,6,9,11,12,14],[2,3,7,9,12,13,14],[2,4,6,8,9,11,13],[2,4,6,8,10,12,14],[2,4,7,9,10,11,13],[2,5,6,7,8,10,11],[2,5,7,8,10,12,14],[3,4,5,7,10,12,13],[3,4,5,8,11,13,14],[3,4,6,7,8,13,14],[3,5,6,7,9,11,12],[3,5,8,9,10,11,14],[4,5,6,9,10,12,13]]; G[4084]:=Group([(2,12)(3,8)(4,13)(5,11)(6,7)(9,10)]); # Design 4085: autom. group order 2, simple, residual B[4085]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,9,12,13,14],[1,3,6,8,10,11,12],[1,3,7,9,11,12,13],[1,4,5,6,9,11,14],[1,4,7,8,10,13,14],[1,4,7,9,10,11,14],[1,5,6,8,10,12,14],[1,6,7,8,9,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,10,14],[2,4,6,8,9,10,13],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,6,7,10,11,13],[2,5,8,9,10,11,12],[3,4,5,7,10,12,13],[3,4,5,8,12,13,14],[3,4,6,8,9,11,13],[3,5,6,7,8,11,14],[3,5,9,10,11,13,14],[4,5,6,7,9,10,12]]; G[4085]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 4086: autom. group order 2, simple, residual B[4086]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,9,12,13,14],[1,3,6,8,10,11,12],[1,3,7,9,11,12,13],[1,4,5,6,9,11,14],[1,4,7,8,10,13,14],[1,4,7,9,10,12,13],[1,5,6,8,10,12,14],[1,6,7,8,9,11,14],[2,3,6,7,9,12,14],[2,3,7,8,9,10,14],[2,4,6,8,9,10,13],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,6,7,10,11,13],[2,5,8,9,10,11,12],[3,4,5,7,10,11,14],[3,4,5,8,12,13,14],[3,4,6,8,9,11,13],[3,5,6,7,8,12,13],[3,5,9,10,11,13,14],[4,5,6,7,9,10,12]]; G[4086]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 4087: autom. group order 2, simple, residual B[4087]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,9,12,13,14],[1,3,6,8,11,12,13],[1,3,7,9,10,11,12],[1,4,5,6,10,11,14],[1,4,7,8,10,13,14],[1,4,7,9,11,13,14],[1,5,6,8,9,12,14],[1,6,7,8,9,10,12],[2,3,6,7,12,13,14],[2,3,7,8,9,10,14],[2,4,6,8,9,10,13],[2,4,6,9,11,12,14],[2,4,7,8,11,12,14],[2,5,6,7,9,10,11],[2,5,8,10,11,12,13],[3,4,5,7,9,12,13],[3,4,5,8,10,12,14],[3,4,6,8,9,11,13],[3,5,6,7,8,11,14],[3,5,9,10,11,13,14],[4,5,6,7,10,12,13]]; G[4087]:=Group([(1,12)(3,11)(5,14)(6,8)]); # Design 4088: autom. group order 2, simple, residual B[4088]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,9,12,13,14],[1,3,6,8,10,11,12],[1,3,7,9,11,12,13],[1,4,5,6,8,12,14],[1,4,7,8,10,13,14],[1,4,7,9,10,11,14],[1,5,6,9,10,11,14],[1,6,7,8,9,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,10,14],[2,4,6,8,9,10,13],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,6,7,10,11,13],[2,5,8,9,10,11,12],[3,4,5,7,10,12,13],[3,4,5,9,11,13,14],[3,4,6,8,9,11,13],[3,5,6,7,8,11,14],[3,5,8,10,12,13,14],[4,5,6,7,9,10,12]]; G[4088]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 4089: autom. group order 2, simple B[4089]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,9,12,13,14],[1,3,6,8,10,11,12],[1,3,7,9,11,12,13],[1,4,5,6,8,12,14],[1,4,7,8,10,13,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,11,14],[2,3,6,7,9,12,14],[2,3,7,8,9,10,14],[2,4,6,8,9,10,13],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,6,7,10,11,13],[2,5,8,9,10,11,12],[3,4,5,7,10,11,14],[3,4,5,9,11,13,14],[3,4,6,8,9,11,13],[3,5,6,7,8,12,13],[3,5,8,10,12,13,14],[4,5,6,7,9,10,12]]; G[4089]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 4090: autom. group order 2, simple B[4090]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,9,12,13,14],[1,3,6,8,10,11,12],[1,3,7,8,11,13,14],[1,4,5,6,9,11,14],[1,4,7,9,10,11,14],[1,4,7,9,10,12,13],[1,5,6,8,10,12,14],[1,6,7,8,9,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,10,14],[2,4,6,8,9,10,13],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,6,7,10,11,13],[2,5,8,9,10,11,12],[3,4,5,7,10,12,13],[3,4,5,8,12,13,14],[3,4,6,8,9,11,13],[3,5,6,7,9,11,12],[3,5,9,10,11,13,14],[4,5,6,7,8,10,14]]; G[4090]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 4091: autom. group order 2, simple, residual B[4091]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,9,12,13,14],[1,3,6,8,10,11,12],[1,3,7,8,11,13,14],[1,4,5,6,8,12,14],[1,4,7,9,10,11,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,10,14],[2,4,6,8,9,10,13],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,6,7,10,11,13],[2,5,8,9,10,11,12],[3,4,5,7,10,12,13],[3,4,5,9,11,13,14],[3,4,6,8,9,11,13],[3,5,6,7,9,11,12],[3,5,8,10,12,13,14],[4,5,6,7,8,10,14]]; G[4091]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 4092: autom. group order 2, simple, residual B[4092]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,9,12,13],[1,3,6,8,10,11,12],[1,3,7,9,11,12,13],[1,4,5,6,12,13,14],[1,4,7,8,9,10,14],[1,4,7,9,10,11,13],[1,5,6,8,10,11,14],[1,6,7,8,9,12,14],[2,3,6,7,9,11,14],[2,3,8,9,10,13,14],[2,4,6,7,8,10,13],[2,4,6,9,11,12,14],[2,4,8,11,12,13,14],[2,5,6,7,9,10,12],[2,5,7,8,10,11,12],[3,4,5,7,8,11,14],[3,4,5,9,10,12,14],[3,4,6,7,8,12,13],[3,5,6,8,9,11,13],[3,5,7,10,12,13,14],[4,5,6,9,10,11,13]]; G[4092]:=Group([(1,11)(3,12)(5,14)(6,8)(7,13)]); # Design 4093: autom. group order 2, simple, residual B[4093]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,9,12,13],[1,3,6,8,10,11,12],[1,3,7,9,11,12,13],[1,4,5,6,12,13,14],[1,4,7,8,9,10,14],[1,4,7,9,10,12,14],[1,5,6,8,10,11,14],[1,6,7,8,9,11,13],[2,3,6,7,9,11,14],[2,3,8,9,10,13,14],[2,4,6,7,8,10,13],[2,4,6,9,11,12,14],[2,4,8,11,12,13,14],[2,5,6,7,9,10,12],[2,5,7,8,10,11,12],[3,4,5,7,8,11,14],[3,4,5,9,10,11,13],[3,4,6,7,8,12,13],[3,5,6,8,9,12,14],[3,5,7,10,12,13,14],[4,5,6,9,10,11,13]]; G[4093]:=Group([(1,11)(3,12)(5,14)(6,8)(7,13)]); # Design 4094: autom. group order 2, simple B[4094]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,9,12,13],[1,3,6,8,10,11,12],[1,3,7,9,11,12,13],[1,4,5,6,8,11,14],[1,4,7,8,9,10,14],[1,4,7,9,10,11,13],[1,5,6,10,12,13,14],[1,6,7,8,9,12,14],[2,3,6,7,9,11,14],[2,3,8,9,10,13,14],[2,4,6,7,8,10,13],[2,4,6,9,11,12,14],[2,4,8,11,12,13,14],[2,5,6,7,9,10,12],[2,5,7,8,10,11,12],[3,4,5,7,12,13,14],[3,4,5,9,10,12,14],[3,4,6,7,8,12,13],[3,5,6,8,9,11,13],[3,5,7,8,10,11,14],[4,5,6,9,10,11,13]]; G[4094]:=Group([(1,11)(3,12)(5,14)(6,8)(7,13)]); # Design 4095: autom. group order 2, simple, residual B[4095]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,9,12,13],[1,3,6,8,10,11,12],[1,3,7,9,11,12,13],[1,4,5,6,8,11,14],[1,4,7,8,9,10,14],[1,4,7,9,10,12,14],[1,5,6,10,12,13,14],[1,6,7,8,9,11,13],[2,3,6,7,9,11,14],[2,3,8,9,10,13,14],[2,4,6,7,8,10,13],[2,4,6,9,11,12,14],[2,4,8,11,12,13,14],[2,5,6,7,9,10,12],[2,5,7,8,10,11,12],[3,4,5,7,12,13,14],[3,4,5,9,10,11,13],[3,4,6,7,8,12,13],[3,5,6,8,9,12,14],[3,5,7,8,10,11,14],[4,5,6,9,10,11,13]]; G[4095]:=Group([(1,11)(3,12)(5,14)(6,8)(7,13)]); # Design 4096: autom. group order 2, simple, residual B[4096]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,9,12,13],[1,3,6,8,9,11,12],[1,3,7,8,10,12,14],[1,4,5,6,12,13,14],[1,4,7,9,10,11,13],[1,4,7,9,10,12,14],[1,5,6,8,10,11,14],[1,6,7,8,9,11,13],[2,3,6,7,9,11,14],[2,3,8,9,10,13,14],[2,4,6,7,8,10,13],[2,4,6,9,11,12,14],[2,4,8,11,12,13,14],[2,5,6,7,9,10,12],[2,5,7,8,10,11,12],[3,4,5,7,8,11,14],[3,4,5,9,10,11,13],[3,4,6,7,8,12,13],[3,5,6,10,11,12,13],[3,5,7,9,12,13,14],[4,5,6,8,9,10,14]]; G[4096]:=Group([(1,11)(3,12)(5,14)(6,8)(7,13)]); # Design 4097: autom. group order 2, simple B[4097]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,9,12,13],[1,3,6,8,10,11,12],[1,3,7,8,9,12,14],[1,4,5,6,12,13,14],[1,4,7,9,10,11,13],[1,4,7,9,10,12,14],[1,5,6,8,10,11,14],[1,6,7,8,9,11,13],[2,3,6,7,9,11,14],[2,3,8,9,10,13,14],[2,4,6,7,8,10,13],[2,4,6,9,11,12,14],[2,4,8,11,12,13,14],[2,5,6,7,9,10,12],[2,5,7,8,10,11,12],[3,4,5,7,8,11,14],[3,4,5,9,10,11,13],[3,4,6,7,8,12,13],[3,5,6,9,11,12,13],[3,5,7,10,12,13,14],[4,5,6,8,9,10,14]]; G[4097]:=Group([(1,11)(3,12)(5,14)(6,8)(7,13)]); # Design 4098: autom. group order 2, simple, residual B[4098]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,9,12,13],[1,3,6,8,10,11,12],[1,3,7,8,9,12,14],[1,4,5,6,8,11,14],[1,4,7,9,10,11,13],[1,4,7,9,10,12,14],[1,5,6,10,12,13,14],[1,6,7,8,9,11,13],[2,3,6,7,9,11,14],[2,3,8,9,10,13,14],[2,4,6,7,8,10,13],[2,4,6,9,11,12,14],[2,4,8,11,12,13,14],[2,5,6,7,9,10,12],[2,5,7,8,10,11,12],[3,4,5,7,12,13,14],[3,4,5,9,10,11,13],[3,4,6,7,8,12,13],[3,5,6,9,11,12,13],[3,5,7,8,10,11,14],[4,5,6,8,9,10,14]]; G[4098]:=Group([(1,11)(3,12)(5,14)(6,8)(7,13)]); # Design 4099: autom. group order 2, simple B[4099]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,5,9,11,12,13],[1,3,6,9,10,11,12],[1,3,7,8,9,11,14],[1,4,5,6,11,13,14],[1,4,7,8,10,12,13],[1,4,7,8,11,12,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,13],[2,3,6,7,10,12,14],[2,3,8,9,12,13,14],[2,4,6,7,9,12,13],[2,4,6,8,10,11,14],[2,4,9,10,11,13,14],[2,5,6,7,8,11,12],[2,5,7,8,9,10,11],[3,4,5,7,9,10,14],[3,4,5,8,10,12,13],[3,4,6,7,9,11,13],[3,5,6,8,10,11,13],[3,5,7,11,12,13,14],[4,5,6,8,9,12,14]]; G[4099]:=Group([(1,10)(3,11)(5,14)(6,9)(7,13)]); # Design 4100: autom. group order 2, simple B[4100]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,5,9,11,12,13],[1,3,6,9,10,11,12],[1,3,7,8,10,11,13],[1,4,5,6,9,10,14],[1,4,7,8,9,12,14],[1,4,7,8,10,12,13],[1,5,6,11,12,13,14],[1,6,7,8,9,11,14],[2,3,6,7,10,12,14],[2,3,8,9,12,13,14],[2,4,6,7,9,12,13],[2,4,6,8,10,11,14],[2,4,9,10,11,13,14],[2,5,6,7,8,11,12],[2,5,7,8,9,10,11],[3,4,5,7,11,13,14],[3,4,5,8,11,12,14],[3,4,6,7,9,11,13],[3,5,6,8,9,10,13],[3,5,7,9,10,12,14],[4,5,6,8,10,12,13]]; G[4100]:=Group([(1,10)(3,11)(5,14)(6,9)(7,13)]); # Design 4101: autom. group order 2, simple, residual B[4101]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,5,9,11,12,13],[1,3,6,9,10,11,12],[1,3,7,8,10,11,13],[1,4,5,6,11,13,14],[1,4,7,8,9,12,14],[1,4,7,8,10,12,13],[1,5,6,9,10,12,14],[1,6,7,8,9,11,14],[2,3,6,7,10,12,14],[2,3,8,9,12,13,14],[2,4,6,7,9,12,13],[2,4,6,8,10,11,14],[2,4,9,10,11,13,14],[2,5,6,7,8,11,12],[2,5,7,8,9,10,11],[3,4,5,7,9,10,14],[3,4,5,8,11,12,14],[3,4,6,7,9,11,13],[3,5,6,8,9,10,13],[3,5,7,11,12,13,14],[4,5,6,8,10,12,13]]; G[4101]:=Group([(1,10)(3,11)(5,14)(6,9)(7,13)]); # Design 4102: autom. group order 2, simple, residual B[4102]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,5,9,11,12,13],[1,3,6,9,10,11,12],[1,3,7,8,10,11,13],[1,4,5,6,11,13,14],[1,4,7,8,9,12,14],[1,4,7,8,11,12,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,13],[2,3,6,7,10,12,14],[2,3,8,9,12,13,14],[2,4,6,7,9,12,13],[2,4,6,8,10,11,14],[2,4,9,10,11,13,14],[2,5,6,7,8,11,12],[2,5,7,8,9,10,11],[3,4,5,7,9,10,14],[3,4,5,8,10,12,13],[3,4,6,7,9,11,13],[3,5,6,8,9,11,14],[3,5,7,11,12,13,14],[4,5,6,8,10,12,13]]; G[4102]:=Group([(1,10)(3,11)(5,14)(6,9)(7,13)]); # Design 4103: autom. group order 2, simple, residual B[4103]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,5,9,11,12,13],[1,3,6,8,9,10,11],[1,3,7,9,11,12,14],[1,4,5,6,11,13,14],[1,4,7,8,10,12,13],[1,4,7,8,11,12,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,13],[2,3,6,7,10,12,14],[2,3,8,9,12,13,14],[2,4,6,7,9,12,13],[2,4,6,8,10,11,14],[2,4,9,10,11,13,14],[2,5,6,7,8,11,12],[2,5,7,8,9,10,11],[3,4,5,7,9,10,14],[3,4,5,8,10,12,13],[3,4,6,7,9,11,13],[3,5,6,10,11,12,13],[3,5,7,8,11,13,14],[4,5,6,8,9,12,14]]; G[4103]:=Group([(1,10)(3,11)(5,14)(6,9)(7,13)]); # Design 4104: autom. group order 2, simple, residual B[4104]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,5,9,11,12,13],[1,3,6,8,9,10,11],[1,3,7,10,11,12,13],[1,4,5,6,11,13,14],[1,4,7,8,9,12,14],[1,4,7,8,11,12,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,13],[2,3,6,7,10,12,14],[2,3,8,9,12,13,14],[2,4,6,7,9,12,13],[2,4,6,8,10,11,14],[2,4,9,10,11,13,14],[2,5,6,7,8,11,12],[2,5,7,8,9,10,11],[3,4,5,7,9,10,14],[3,4,5,8,10,12,13],[3,4,6,7,9,11,13],[3,5,6,9,11,12,14],[3,5,7,8,11,13,14],[4,5,6,8,10,12,13]]; G[4104]:=Group([(1,10)(3,11)(5,14)(6,9)(7,13)]); # Design 4105: autom. group order 2, simple, residual B[4105]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,9,10,12,14],[1,3,6,9,11,12,13],[1,3,7,8,9,12,14],[1,4,5,6,12,13,14],[1,4,7,10,11,13,14],[1,4,8,9,11,13,14],[1,5,6,7,8,10,11],[1,6,7,8,9,10,12],[2,3,6,7,9,11,14],[2,3,8,10,11,12,13],[2,4,6,7,9,10,13],[2,4,6,8,9,11,14],[2,4,7,8,10,12,14],[2,5,6,8,12,13,14],[2,5,7,9,11,12,13],[3,4,5,7,11,12,14],[3,4,5,8,9,10,13],[3,4,6,7,8,12,13],[3,5,6,8,10,11,14],[3,5,7,9,10,13,14],[4,5,6,9,10,11,12]]; G[4105]:=Group([(2,13)(3,14)(5,11)(6,10)]); # Design 4106: autom. group order 2, simple, residual B[4106]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,10,11,13],[1,2,5,8,11,12,14],[1,3,6,8,9,12,14],[1,3,7,8,9,11,13],[1,4,5,6,8,13,14],[1,4,7,11,12,13,14],[1,4,9,10,12,13,14],[1,5,6,7,9,10,12],[1,6,7,8,9,10,11],[2,3,6,9,11,12,13],[2,3,7,8,10,12,14],[2,4,6,7,8,12,13],[2,4,6,7,9,10,14],[2,4,7,8,9,11,14],[2,5,6,9,11,13,14],[2,5,8,9,10,12,13],[3,4,5,7,9,12,13],[3,4,5,9,10,11,14],[3,4,6,8,10,11,13],[3,5,6,7,11,12,14],[3,5,7,8,10,13,14],[4,5,6,8,10,11,12]]; G[4106]:=Group([(2,14)(3,13)(5,12)(6,10)(7,9)(8,11)]); # Design 4107: autom. group order 2, simple, residual B[4107]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,9,12,13],[1,3,6,8,11,12,13],[1,3,7,9,10,11,12],[1,4,5,6,10,12,14],[1,4,7,9,12,13,14],[1,4,8,9,10,13,14],[1,5,6,7,8,11,14],[1,6,7,8,9,10,11],[2,3,6,9,11,13,14],[2,3,7,8,9,10,14],[2,4,6,7,8,10,13],[2,4,6,9,11,12,14],[2,4,7,8,11,12,14],[2,5,6,7,9,10,12],[2,5,8,10,11,12,13],[3,4,5,7,9,11,13],[3,4,5,8,10,11,14],[3,4,6,7,8,12,13],[3,5,6,8,9,12,14],[3,5,7,10,12,13,14],[4,5,6,9,10,11,13]]; G[4107]:=Group([(1,11)(3,12)(5,14)(6,8)]); # Design 4108: autom. group order 2, simple, residual B[4108]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,5,9,11,12,13],[1,3,6,9,10,11,13],[1,3,7,8,10,11,12],[1,4,5,6,11,12,14],[1,4,7,8,11,13,14],[1,4,8,9,12,13,14],[1,5,6,7,9,10,14],[1,6,7,8,9,10,12],[2,3,6,10,12,13,14],[2,3,7,8,9,12,14],[2,4,6,7,9,12,13],[2,4,6,8,10,11,14],[2,4,7,9,10,11,14],[2,5,6,7,8,11,12],[2,5,8,9,10,11,13],[3,4,5,7,8,10,13],[3,4,5,9,10,12,14],[3,4,6,7,9,11,13],[3,5,6,8,9,11,14],[3,5,7,11,12,13,14],[4,5,6,8,10,12,13]]; G[4108]:=Group([(1,10)(3,11)(5,14)(6,9)]); # Design 4109: autom. group order 2, simple B[4109]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,5,9,11,12,13],[1,3,6,8,9,10,11],[1,3,7,10,11,12,13],[1,4,5,6,11,12,14],[1,4,7,8,11,13,14],[1,4,8,9,12,13,14],[1,5,6,7,9,10,14],[1,6,7,8,9,10,12],[2,3,6,10,12,13,14],[2,3,7,8,9,12,14],[2,4,6,7,9,12,13],[2,4,6,8,10,11,14],[2,4,7,9,10,11,14],[2,5,6,7,8,11,12],[2,5,8,9,10,11,13],[3,4,5,7,8,10,13],[3,4,5,9,10,12,14],[3,4,6,7,9,11,13],[3,5,6,9,11,13,14],[3,5,7,8,11,12,14],[4,5,6,8,10,12,13]]; G[4109]:=Group([(1,10)(3,11)(5,14)(6,9)]); # Design 4110: autom. group order 2, simple, residual B[4110]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,5,9,11,12,13],[1,3,6,8,9,10,11],[1,3,9,10,12,13,14],[1,4,5,6,11,13,14],[1,4,7,8,9,12,14],[1,4,7,8,11,12,14],[1,5,6,7,10,11,12],[1,6,7,8,9,10,13],[2,3,6,7,10,12,14],[2,3,7,8,11,12,13],[2,4,6,7,9,12,13],[2,4,6,8,10,11,14],[2,4,9,10,11,13,14],[2,5,6,8,9,12,14],[2,5,7,8,9,10,11],[3,4,5,7,9,10,14],[3,4,5,8,10,12,13],[3,4,6,7,9,11,13],[3,5,6,9,11,12,14],[3,5,7,8,11,13,14],[4,5,6,8,10,12,13]]; G[4110]:=Group([(1,10)(3,11)(5,14)(6,9)(7,13)]); # Design 4111: autom. group order 2, simple, residual B[4111]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,5,9,10,11,14],[1,3,6,7,8,12,13],[1,3,7,8,9,11,14],[1,4,5,6,8,13,14],[1,4,7,11,12,13,14],[1,4,9,10,12,13,14],[1,5,6,7,9,10,12],[1,6,7,8,9,10,11],[2,3,6,9,11,12,13],[2,3,7,8,10,12,14],[2,4,6,7,9,10,13],[2,4,6,8,9,12,14],[2,4,7,8,9,11,13],[2,5,6,7,11,12,14],[2,5,7,8,10,13,14],[3,4,5,7,9,12,14],[3,4,5,7,10,11,13],[3,4,6,8,10,11,14],[3,5,6,9,11,13,14],[3,5,8,9,10,12,13],[4,5,6,8,10,11,12]]; G[4111]:=Group([(2,13)(3,14)(5,12)(6,10)(7,9)(8,11)]); # Design 4112: autom. group order 2, simple, residual B[4112]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,13,14],[1,2,5,10,11,12,13],[1,3,6,8,11,12,14],[1,3,7,9,10,11,14],[1,4,5,6,9,11,13],[1,4,7,8,9,12,13],[1,4,7,8,12,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,11],[2,3,7,9,10,12,13],[2,3,8,9,11,13,14],[2,4,6,7,8,10,11],[2,4,6,8,10,12,14],[2,4,6,9,11,13,14],[2,5,6,7,9,12,14],[2,5,7,8,9,11,12],[3,4,5,7,11,12,14],[3,4,5,8,9,10,14],[3,4,6,9,10,12,13],[3,5,6,7,8,10,13],[3,5,6,8,11,12,13],[4,5,7,10,11,13,14]]; G[4112]:=Group([(1,8)(2,6)(3,10)(4,7)(5,11)(12,13)]); # Design 4113: autom. group order 2, simple, residual B[4113]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,5,9,10,12,14],[1,3,6,7,10,12,13],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,7,8,10,14],[1,4,6,9,11,13,14],[1,5,6,8,9,11,12],[1,7,8,9,10,12,13],[2,3,6,9,11,12,13],[2,3,7,9,10,11,14],[2,4,6,7,9,12,14],[2,4,6,8,10,11,13],[2,4,7,8,9,12,13],[2,5,6,8,10,12,14],[2,5,7,8,11,13,14],[3,4,5,7,12,13,14],[3,4,5,8,9,10,13],[3,4,8,10,11,12,14],[3,5,6,7,8,11,12],[3,5,6,9,10,13,14],[4,5,6,7,9,10,11]]; G[4113]:=Group([(2,10)(3,7)(4,13)(5,12)]); # Design 4114: autom. group order 2, simple, residual B[4114]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,5,9,10,12,14],[1,3,6,7,10,12,13],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,7,8,10,14],[1,4,6,9,11,13,14],[1,5,6,8,9,11,12],[1,7,8,9,10,12,13],[2,3,6,9,12,13,14],[2,3,7,9,10,11,14],[2,4,6,7,9,11,12],[2,4,6,8,10,11,13],[2,4,7,8,9,12,13],[2,5,6,8,10,12,14],[2,5,7,8,11,13,14],[3,4,5,7,12,13,14],[3,4,5,8,9,10,13],[3,4,8,10,11,12,14],[3,5,6,7,8,11,12],[3,5,6,9,10,11,13],[4,5,6,7,9,10,14]]; G[4114]:=Group([(2,10)(3,7)(4,13)(5,12)]); # Design 4115: autom. group order 2, simple, residual B[4115]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,5,9,10,12,14],[1,3,6,7,10,12,13],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,7,8,10,14],[1,4,6,9,11,13,14],[1,5,6,8,9,11,12],[1,7,8,9,10,12,13],[2,3,6,9,12,13,14],[2,3,7,9,10,11,14],[2,4,6,7,8,11,12],[2,4,6,9,10,11,13],[2,4,7,8,9,12,13],[2,5,6,8,10,12,14],[2,5,7,8,11,13,14],[3,4,5,7,12,13,14],[3,4,5,8,9,10,13],[3,4,8,10,11,12,14],[3,5,6,7,9,11,12],[3,5,6,8,10,11,13],[4,5,6,7,9,10,14]]; G[4115]:=Group([(2,10)(3,7)(4,13)(5,12)]); # Design 4116: autom. group order 2, simple, residual B[4116]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,5,9,10,12,14],[1,3,6,7,10,12,13],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,7,8,10,14],[1,4,6,9,11,13,14],[1,5,6,8,9,11,12],[1,7,8,9,10,12,13],[2,3,6,8,11,12,13],[2,3,7,9,10,11,14],[2,4,6,7,9,12,14],[2,4,6,9,10,11,13],[2,4,7,8,9,12,13],[2,5,6,8,10,12,14],[2,5,7,8,11,13,14],[3,4,5,7,12,13,14],[3,4,5,8,9,10,13],[3,4,8,10,11,12,14],[3,5,6,7,9,11,12],[3,5,6,9,10,13,14],[4,5,6,7,8,10,11]]; G[4116]:=Group([(2,10)(3,7)(4,13)(5,12)]); # Design 4117: autom. group order 2, simple, residual B[4117]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,5,8,10,13,14],[1,3,6,7,8,9,13],[1,3,7,9,10,11,14],[1,4,5,9,11,13,14],[1,4,6,7,8,12,14],[1,4,6,8,11,12,14],[1,5,6,9,10,11,12],[1,7,8,9,10,12,13],[2,3,6,8,11,12,13],[2,3,7,9,11,12,14],[2,4,6,7,9,10,14],[2,4,6,9,10,12,13],[2,4,8,9,11,13,14],[2,5,6,7,8,9,11],[2,5,7,8,10,12,14],[3,4,5,7,12,13,14],[3,4,5,8,9,10,12],[3,4,7,8,10,11,13],[3,5,6,8,10,11,14],[3,5,6,9,12,13,14],[4,5,6,7,10,11,13]]; G[4117]:=Group([(1,8)(2,5)(3,10)(4,14)(6,12)(9,13)]); # Design 4118: autom. group order 2, simple, residual B[4118]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,9,10,12,14],[1,3,6,7,8,9,12],[1,3,7,10,12,13,14],[1,4,5,8,12,13,14],[1,4,6,7,9,11,14],[1,4,6,9,11,13,14],[1,5,6,8,10,11,13],[1,7,8,9,10,11,12],[2,3,6,9,11,12,13],[2,3,7,8,11,13,14],[2,4,6,7,8,10,14],[2,4,6,8,10,11,12],[2,4,8,9,12,13,14],[2,5,6,7,9,12,13],[2,5,7,9,10,11,14],[3,4,5,7,11,12,14],[3,4,5,9,10,11,13],[3,4,7,8,9,10,13],[3,5,6,8,9,10,14],[3,5,6,8,11,12,14],[4,5,6,7,10,12,13]]; G[4118]:=Group([(1,9)(2,5)(3,10)(4,14)(6,11)(8,12)]); # Design 4119: autom. group order 2, simple B[4119]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,12,13,14],[1,3,6,9,11,12,13],[1,3,7,9,10,12,13],[1,4,5,8,9,10,11],[1,4,6,7,8,9,13],[1,4,6,7,10,11,14],[1,5,6,8,10,12,14],[1,7,8,9,11,12,14],[2,3,6,8,9,11,14],[2,3,7,8,9,10,14],[2,4,6,7,9,12,14],[2,4,6,8,11,12,13],[2,4,7,8,10,12,13],[2,5,6,9,10,11,12],[2,5,7,9,10,11,13],[3,4,5,7,11,12,14],[3,4,5,9,12,13,14],[3,4,8,10,11,13,14],[3,5,6,7,8,10,12],[3,5,6,7,8,11,13],[4,5,6,9,10,13,14]]; G[4119]:=Group([(2,8)(3,9)(6,11)(7,10)(12,13)]); # Design 4120: autom. group order 2, simple, residual B[4120]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,5,9,10,12,14],[1,3,6,7,10,12,13],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,7,8,10,14],[1,4,6,9,11,13,14],[1,5,6,8,9,11,12],[1,7,8,9,10,12,13],[2,3,6,9,12,13,14],[2,3,7,9,10,11,14],[2,4,6,9,10,11,13],[2,4,7,8,9,12,13],[2,4,7,8,11,12,14],[2,5,6,7,8,11,13],[2,5,6,8,10,12,14],[3,4,5,7,12,13,14],[3,4,5,8,9,10,13],[3,4,6,8,10,11,12],[3,5,6,7,9,11,12],[3,5,8,10,11,13,14],[4,5,6,7,9,10,14]]; G[4120]:=Group([(2,10)(3,7)(4,13)(5,12)]); # Design 4121: autom. group order 2, simple, residual B[4121]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,5,9,10,12,14],[1,3,6,7,10,12,13],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,7,8,10,14],[1,4,6,9,11,13,14],[1,5,6,8,9,11,12],[1,7,8,9,10,12,13],[2,3,6,9,11,12,13],[2,3,7,9,10,11,14],[2,4,6,8,10,11,13],[2,4,7,8,9,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,13,14],[2,5,6,8,10,12,14],[3,4,5,7,12,13,14],[3,4,5,8,9,10,13],[3,4,6,9,10,12,14],[3,5,6,7,8,11,12],[3,5,8,10,11,13,14],[4,5,6,7,9,10,11]]; G[4121]:=Group([(2,10)(3,7)(4,13)(5,12)]); # Design 4122: autom. group order 2, simple, residual B[4122]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,5,9,10,12,14],[1,3,6,7,10,12,13],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,7,8,10,14],[1,4,6,9,11,13,14],[1,5,6,8,9,11,12],[1,7,8,9,10,12,13],[2,3,6,9,12,13,14],[2,3,7,9,10,11,14],[2,4,6,8,10,11,13],[2,4,7,8,9,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,11,13],[2,5,6,8,10,12,14],[3,4,5,7,12,13,14],[3,4,5,8,9,10,13],[3,4,6,9,10,11,12],[3,5,6,7,8,11,12],[3,5,8,10,11,13,14],[4,5,6,7,9,10,14]]; G[4122]:=Group([(2,10)(3,7)(4,13)(5,12)]); # Design 4123: autom. group order 2, simple, residual B[4123]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,5,9,10,12,14],[1,3,6,7,10,12,13],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,7,8,10,14],[1,4,6,9,11,13,14],[1,5,6,8,9,11,12],[1,7,8,9,10,12,13],[2,3,6,8,11,12,13],[2,3,7,9,10,11,14],[2,4,6,9,10,11,13],[2,4,7,8,9,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,13,14],[2,5,6,8,10,12,14],[3,4,5,7,12,13,14],[3,4,5,8,9,10,13],[3,4,6,9,10,12,14],[3,5,6,7,9,11,12],[3,5,8,10,11,13,14],[4,5,6,7,8,10,11]]; G[4123]:=Group([(2,10)(3,7)(4,13)(5,12)]); # Design 4124: autom. group order 2, simple, residual B[4124]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,9,13,14],[1,2,5,10,11,13,14],[1,3,6,9,11,12,14],[1,3,7,8,12,13,14],[1,4,5,7,9,11,12],[1,4,6,7,10,12,13],[1,4,6,8,9,10,14],[1,5,6,8,11,12,14],[1,7,8,9,10,11,13],[2,3,6,9,11,12,13],[2,3,7,9,10,11,14],[2,4,6,7,8,11,14],[2,4,7,8,11,12,13],[2,4,8,9,10,12,14],[2,5,6,7,10,12,14],[2,5,6,8,9,12,13],[3,4,5,8,11,13,14],[3,4,5,10,12,13,14],[3,4,6,7,9,13,14],[3,5,6,7,8,10,11],[3,5,7,8,9,10,12],[4,5,6,9,10,11,13]]; G[4124]:=Group([(1,13)(2,14)(6,12)(7,10)(9,11)]); # Design 4125: autom. group order 2, simple, residual B[4125]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,10,13,14],[1,3,6,9,11,12,14],[1,3,7,8,12,13,14],[1,4,5,7,9,11,12],[1,4,6,7,10,12,13],[1,4,6,8,10,11,14],[1,5,6,8,9,12,14],[1,7,8,9,10,11,13],[2,3,6,9,11,12,13],[2,3,7,9,10,11,14],[2,4,6,7,8,11,14],[2,4,7,8,9,12,13],[2,4,8,9,10,12,14],[2,5,6,7,10,12,14],[2,5,6,8,11,12,13],[3,4,5,8,11,13,14],[3,4,5,10,12,13,14],[3,4,6,7,9,13,14],[3,5,6,7,8,9,10],[3,5,7,8,10,11,12],[4,5,6,9,10,11,13]]; G[4125]:=Group([(1,13)(2,14)(6,12)(7,10)(9,11)]); # Design 4126: autom. group order 2, simple B[4126]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,5,8,11,13,14],[1,3,6,9,11,12,14],[1,3,7,9,10,11,14],[1,4,5,8,9,10,12],[1,4,6,7,8,9,14],[1,4,6,7,10,12,13],[1,5,6,8,10,13,14],[1,7,8,9,11,12,13],[2,3,6,8,9,12,13],[2,3,7,8,9,10,13],[2,4,6,8,11,12,14],[2,4,7,8,10,11,14],[2,4,9,10,12,13,14],[2,5,6,7,9,10,11],[2,5,6,7,9,12,14],[3,4,5,7,12,13,14],[3,4,5,9,11,13,14],[3,4,6,7,8,11,13],[3,5,6,8,10,11,12],[3,5,7,8,10,12,14],[4,5,6,9,10,11,13]]; G[4126]:=Group([(2,8)(3,9)(6,12)(7,10)(11,14)]); # Design 4127: autom. group order 2, simple, residual B[4127]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,5,9,10,12,14],[1,3,6,7,10,12,13],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,7,8,10,14],[1,4,6,9,11,13,14],[1,5,6,8,9,11,12],[1,7,8,9,10,12,13],[2,3,7,9,10,11,14],[2,3,8,11,12,13,14],[2,4,6,7,9,12,14],[2,4,6,9,10,11,13],[2,4,7,8,9,12,13],[2,5,6,7,8,11,13],[2,5,6,8,10,12,14],[3,4,5,7,12,13,14],[3,4,5,8,9,10,13],[3,4,6,8,10,11,12],[3,5,6,7,9,11,12],[3,5,6,9,10,13,14],[4,5,7,8,10,11,14]]; G[4127]:=Group([(2,10)(3,7)(4,13)(5,12)]); # Design 4128: autom. group order 2, simple, residual B[4128]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,5,9,10,12,14],[1,3,6,7,10,12,13],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,7,8,10,14],[1,4,6,9,11,13,14],[1,5,6,8,9,11,12],[1,7,8,9,10,12,13],[2,3,7,9,10,11,14],[2,3,8,11,12,13,14],[2,4,6,7,9,11,12],[2,4,6,8,10,11,13],[2,4,7,8,9,12,13],[2,5,6,7,9,13,14],[2,5,6,8,10,12,14],[3,4,5,7,12,13,14],[3,4,5,8,9,10,13],[3,4,6,9,10,12,14],[3,5,6,7,8,11,12],[3,5,6,9,10,11,13],[4,5,7,8,10,11,14]]; G[4128]:=Group([(2,10)(3,7)(4,13)(5,12)]); # Design 4129: autom. group order 2, simple, residual B[4129]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,5,9,10,12,14],[1,3,6,7,10,12,13],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,7,8,10,14],[1,4,6,9,11,13,14],[1,5,6,8,9,11,12],[1,7,8,9,10,12,13],[2,3,7,9,10,11,14],[2,3,8,11,12,13,14],[2,4,6,7,9,12,14],[2,4,6,8,10,11,13],[2,4,7,8,9,12,13],[2,5,6,7,9,11,13],[2,5,6,8,10,12,14],[3,4,5,7,12,13,14],[3,4,5,8,9,10,13],[3,4,6,9,10,11,12],[3,5,6,7,8,11,12],[3,5,6,9,10,13,14],[4,5,7,8,10,11,14]]; G[4129]:=Group([(2,10)(3,7)(4,13)(5,12)]); # Design 4130: autom. group order 2, simple, residual B[4130]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,5,9,10,12,14],[1,3,6,7,10,12,13],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,7,8,10,14],[1,4,6,9,11,13,14],[1,5,6,8,9,11,12],[1,7,8,9,10,12,13],[2,3,7,9,10,11,14],[2,3,8,11,12,13,14],[2,4,6,7,8,11,12],[2,4,6,9,10,11,13],[2,4,7,8,9,12,13],[2,5,6,7,9,13,14],[2,5,6,8,10,12,14],[3,4,5,7,12,13,14],[3,4,5,8,9,10,13],[3,4,6,9,10,12,14],[3,5,6,7,9,11,12],[3,5,6,8,10,11,13],[4,5,7,8,10,11,14]]; G[4130]:=Group([(2,10)(3,7)(4,13)(5,12)]); # Design 4131: autom. group order 2, simple B[4131]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,5,9,12,13,14],[1,3,6,8,10,13,14],[1,3,9,10,11,12,13],[1,4,5,7,9,10,14],[1,4,6,7,8,11,12],[1,4,6,9,10,11,14],[1,5,7,8,11,12,14],[1,6,7,8,9,12,13],[2,3,6,8,9,11,14],[2,3,7,9,11,12,14],[2,4,6,8,10,12,14],[2,4,7,8,9,11,13],[2,4,7,10,12,13,14],[2,5,6,7,10,11,13],[2,5,6,8,9,10,12],[3,4,5,6,11,12,13],[3,4,5,8,12,13,14],[3,4,7,8,9,10,13],[3,5,6,7,9,10,12],[3,5,7,8,10,11,14],[4,5,6,9,11,13,14]]; G[4131]:=Group([(1,12)(3,10)(5,14)(7,8)(9,13)]); # Design 4132: autom. group order 2, simple, residual B[4132]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,13,14],[1,2,5,9,11,12,13],[1,3,6,8,10,11,13],[1,3,9,11,12,13,14],[1,4,5,7,8,11,14],[1,4,6,7,9,10,12],[1,4,6,8,10,12,13],[1,5,7,9,10,12,14],[1,6,7,8,9,11,14],[2,3,6,8,9,12,14],[2,3,7,8,10,12,14],[2,4,6,9,10,11,14],[2,4,7,8,9,12,13],[2,4,7,10,11,13,14],[2,5,6,7,11,12,13],[2,5,6,8,9,10,11],[3,4,5,6,11,12,14],[3,4,5,9,10,13,14],[3,4,7,8,9,11,13],[3,5,6,7,9,10,13],[3,5,7,8,10,11,12],[4,5,6,8,12,13,14]]; G[4132]:=Group([(1,10)(3,11)(5,14)(7,9)(8,13)]); # Design 4133: autom. group order 2, simple B[4133]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,13,14],[1,2,5,9,11,12,13],[1,3,6,8,10,11,13],[1,3,9,11,12,13,14],[1,4,5,7,8,11,14],[1,4,6,7,9,10,12],[1,4,6,8,11,12,14],[1,5,7,9,10,12,14],[1,6,7,8,9,10,13],[2,3,6,8,9,12,14],[2,3,7,8,10,12,14],[2,4,6,9,10,11,14],[2,4,7,8,9,12,13],[2,4,7,10,11,13,14],[2,5,6,7,11,12,13],[2,5,6,8,9,10,11],[3,4,5,6,10,12,13],[3,4,5,9,10,13,14],[3,4,7,8,9,11,13],[3,5,6,7,9,11,14],[3,5,7,8,10,11,12],[4,5,6,8,12,13,14]]; G[4133]:=Group([(1,10)(3,11)(5,14)(7,9)(8,13)]); # Design 4134: autom. group order 2, simple B[4134]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,5,9,12,13,14],[1,3,6,8,10,13,14],[1,3,8,9,11,12,14],[1,4,5,7,9,10,14],[1,4,6,7,8,11,12],[1,4,6,9,10,11,14],[1,5,7,10,11,12,13],[1,6,7,8,9,12,13],[2,3,6,9,10,11,13],[2,3,7,9,11,12,14],[2,4,6,8,10,12,14],[2,4,7,8,9,11,13],[2,4,7,10,12,13,14],[2,5,6,7,8,11,14],[2,5,6,8,9,10,12],[3,4,5,6,11,12,13],[3,4,5,8,12,13,14],[3,4,7,8,9,10,13],[3,5,6,7,9,10,12],[3,5,7,8,10,11,14],[4,5,6,9,11,13,14]]; G[4134]:=Group([(1,12)(3,10)(5,14)(7,8)(9,13)]); # Design 4135: autom. group order 2, simple, residual B[4135]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,10,12,13,14],[1,3,6,7,9,10,14],[1,3,7,8,11,12,14],[1,4,5,7,9,11,12],[1,4,6,8,10,11,14],[1,4,6,9,12,13,14],[1,5,8,9,10,12,13],[1,6,7,8,9,11,13],[2,3,6,7,9,12,13],[2,3,8,9,11,12,14],[2,4,6,8,11,12,13],[2,4,7,8,9,10,14],[2,4,7,9,10,11,13],[2,5,6,7,8,12,14],[2,5,6,9,10,11,14],[3,4,5,6,11,13,14],[3,4,5,8,9,13,14],[3,4,7,10,12,13,14],[3,5,6,9,10,11,12],[3,5,7,8,10,11,13],[4,5,6,7,8,10,12]]; G[4135]:=Group([(1,13)(2,14)(3,4)(7,11)(8,9)(10,12)]); # Design 4136: autom. group order 2, simple, residual B[4136]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,10,12,13,14],[1,3,6,7,8,12,14],[1,3,7,9,10,11,14],[1,4,5,7,9,11,12],[1,4,6,8,10,11,14],[1,4,6,9,12,13,14],[1,5,8,9,10,12,13],[1,6,7,8,9,11,13],[2,3,6,7,9,12,13],[2,3,8,9,11,12,14],[2,4,6,9,10,11,13],[2,4,7,8,9,10,14],[2,4,7,8,11,12,13],[2,5,6,7,9,10,14],[2,5,6,8,11,12,14],[3,4,5,6,11,13,14],[3,4,5,8,9,13,14],[3,4,7,10,12,13,14],[3,5,6,9,10,11,12],[3,5,7,8,10,11,13],[4,5,6,7,8,10,12]]; G[4136]:=Group([(1,13)(2,14)(3,4)(7,11)(8,9)(10,12)]); # Design 4137: autom. group order 2, simple B[4137]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,5,9,12,13,14],[1,3,6,7,10,13,14],[1,3,7,9,11,12,13],[1,4,5,8,11,12,14],[1,4,6,7,9,10,12],[1,4,6,8,9,10,14],[1,5,7,8,10,11,14],[1,6,8,9,11,12,13],[2,3,6,8,10,11,12],[2,3,7,8,9,11,14],[2,4,6,7,11,12,14],[2,4,7,8,9,10,13],[2,4,9,10,11,13,14],[2,5,6,7,9,12,14],[2,5,6,8,10,12,13],[3,4,5,6,9,11,13],[3,4,5,10,12,13,14],[3,4,7,8,12,13,14],[3,5,6,9,10,11,14],[3,5,7,8,9,10,12],[4,5,6,7,8,11,13]]; G[4137]:=Group([(2,12)(3,9)(4,13)(5,11)(7,8)(10,14)]); # Design 4138: autom. group order 2, simple B[4138]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,5,9,12,13,14],[1,3,6,7,9,10,14],[1,3,7,11,12,13,14],[1,4,5,8,10,13,14],[1,4,6,7,8,11,12],[1,4,6,9,10,11,14],[1,5,8,9,10,11,12],[1,6,7,8,9,12,13],[2,3,6,9,10,11,13],[2,3,8,9,11,12,14],[2,4,6,8,10,12,14],[2,4,7,8,9,11,13],[2,4,7,10,12,13,14],[2,5,6,7,8,11,14],[2,5,6,7,9,10,12],[3,4,5,6,11,12,13],[3,4,5,7,9,12,14],[3,4,7,8,9,10,13],[3,5,6,8,10,12,13],[3,5,7,8,10,11,14],[4,5,6,9,11,13,14]]; G[4138]:=Group([(1,12)(3,10)(5,14)(7,8)(9,13)]); # Design 4139: autom. group order 2, simple, residual B[4139]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,9,11,13,14],[1,3,6,7,9,12,13],[1,3,7,8,10,11,12],[1,4,5,8,10,12,14],[1,4,6,8,9,12,13],[1,4,6,9,10,11,14],[1,5,7,10,12,13,14],[1,6,7,8,9,11,14],[2,3,6,8,10,13,14],[2,3,7,8,9,12,14],[2,4,6,8,11,12,13],[2,4,7,8,9,10,14],[2,4,7,11,12,13,14],[2,5,6,7,9,10,12],[2,5,6,9,10,11,12],[3,4,5,6,7,11,14],[3,4,5,9,12,13,14],[3,4,7,9,10,11,13],[3,5,6,8,11,12,14],[3,5,8,9,10,11,13],[4,5,6,7,8,10,13]]; G[4139]:=Group([(1,11)(3,12)(5,13)(7,8)(9,14)]); # Design 4140: autom. group order 2, simple B[4140]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,5,9,12,13,14],[1,3,6,7,9,10,14],[1,3,9,10,11,12,13],[1,4,5,8,10,13,14],[1,4,6,7,8,11,12],[1,4,6,9,10,11,14],[1,5,7,8,11,12,14],[1,6,7,8,9,12,13],[2,3,6,7,11,13,14],[2,3,8,9,11,12,14],[2,4,6,8,10,12,14],[2,4,7,8,9,11,13],[2,4,7,10,12,13,14],[2,5,6,7,9,10,12],[2,5,6,8,9,10,11],[3,4,5,6,11,12,13],[3,4,5,7,9,12,14],[3,4,7,8,9,10,13],[3,5,6,8,10,12,13],[3,5,7,8,10,11,14],[4,5,6,9,11,13,14]]; G[4140]:=Group([(1,12)(3,10)(5,14)(7,8)(9,13)]); # Design 4141: autom. group order 2, simple, residual B[4141]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,9,11,13,14],[1,3,6,9,11,12,14],[1,3,7,8,10,11,12],[1,4,5,7,10,12,14],[1,4,6,7,9,12,13],[1,4,6,8,10,13,14],[1,5,8,9,10,12,13],[1,6,7,8,9,11,14],[2,3,6,7,9,10,13],[2,3,7,8,9,12,14],[2,4,6,8,11,12,13],[2,4,7,8,9,10,14],[2,4,7,11,12,13,14],[2,5,6,8,10,12,14],[2,5,6,9,10,11,12],[3,4,5,6,8,11,14],[3,4,5,9,12,13,14],[3,4,8,9,10,11,13],[3,5,6,7,8,12,13],[3,5,7,10,11,13,14],[4,5,6,7,9,10,11]]; G[4141]:=Group([(1,11)(3,12)(5,13)(7,8)(9,14)]); # Design 4142: autom. group order 2, simple, residual B[4142]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,9,11,13,14],[1,3,6,8,12,13,14],[1,3,7,8,10,11,12],[1,4,5,7,10,12,14],[1,4,6,7,9,12,13],[1,4,6,9,10,11,14],[1,5,8,9,10,12,13],[1,6,7,8,9,11,14],[2,3,6,7,9,10,13],[2,3,7,8,9,12,14],[2,4,6,8,11,12,13],[2,4,7,8,9,10,14],[2,4,7,11,12,13,14],[2,5,6,8,10,12,14],[2,5,6,9,10,11,12],[3,4,5,6,8,11,14],[3,4,5,9,12,13,14],[3,4,8,9,10,11,13],[3,5,6,7,9,11,12],[3,5,7,10,11,13,14],[4,5,6,7,8,10,13]]; G[4142]:=Group([(1,11)(3,12)(5,13)(7,8)(9,14)]); # Design 4143: autom. group order 2, simple, residual B[4143]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,10,12,13,14],[1,3,6,9,10,11,14],[1,3,7,8,11,12,14],[1,4,5,7,9,11,12],[1,4,6,7,8,10,14],[1,4,6,9,12,13,14],[1,5,8,9,10,12,13],[1,6,7,8,9,11,13],[2,3,6,9,11,12,13],[2,3,7,8,9,12,14],[2,4,6,7,8,12,13],[2,4,7,9,10,11,13],[2,4,8,9,10,11,14],[2,5,6,7,9,10,14],[2,5,6,8,11,12,14],[3,4,5,6,11,13,14],[3,4,5,8,9,13,14],[3,4,7,10,12,13,14],[3,5,6,7,9,10,12],[3,5,7,8,10,11,13],[4,5,6,8,10,11,12]]; G[4143]:=Group([(1,13)(2,14)(3,4)(7,11)(8,9)(10,12)]); # Design 4144: autom. group order 2, simple, residual B[4144]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,10,12,13,14],[1,3,6,8,11,12,14],[1,3,7,9,10,11,14],[1,4,5,7,9,11,12],[1,4,6,7,8,10,14],[1,4,6,9,12,13,14],[1,5,8,9,10,12,13],[1,6,7,8,9,11,13],[2,3,6,9,11,12,13],[2,3,7,8,9,12,14],[2,4,6,7,9,10,13],[2,4,7,8,11,12,13],[2,4,8,9,10,11,14],[2,5,6,7,8,12,14],[2,5,6,9,10,11,14],[3,4,5,6,11,13,14],[3,4,5,8,9,13,14],[3,4,7,10,12,13,14],[3,5,6,7,9,10,12],[3,5,7,8,10,11,13],[4,5,6,8,10,11,12]]; G[4144]:=Group([(1,13)(2,14)(3,4)(7,11)(8,9)(10,12)]); # Design 4145: autom. group order 2, simple B[4145]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,5,9,12,13,14],[1,3,6,9,10,12,13],[1,3,7,9,10,11,14],[1,4,5,8,10,13,14],[1,4,6,7,8,11,12],[1,4,6,9,10,11,14],[1,5,7,8,11,12,14],[1,6,7,8,9,12,13],[2,3,6,7,11,13,14],[2,3,8,9,11,12,14],[2,4,6,8,10,12,14],[2,4,7,8,9,11,13],[2,4,7,10,12,13,14],[2,5,6,7,9,10,12],[2,5,6,8,9,10,11],[3,4,5,6,11,12,13],[3,4,5,7,9,12,14],[3,4,7,8,9,10,13],[3,5,6,7,8,10,14],[3,5,8,10,11,12,13],[4,5,6,9,11,13,14]]; G[4145]:=Group([(1,12)(3,10)(5,14)(7,8)(9,13)]); # Design 4146: autom. group order 2, simple, residual B[4146]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,5,9,12,13,14],[1,3,6,9,10,12,13],[1,3,7,9,10,11,14],[1,4,5,8,10,13,14],[1,4,6,7,8,11,12],[1,4,6,9,11,12,13],[1,5,7,8,11,12,14],[1,6,7,8,9,10,14],[2,3,6,7,11,13,14],[2,3,8,9,11,12,14],[2,4,6,8,10,12,14],[2,4,7,8,9,11,13],[2,4,7,10,12,13,14],[2,5,6,7,9,10,12],[2,5,6,8,9,10,11],[3,4,5,6,10,11,14],[3,4,5,7,9,12,14],[3,4,7,8,9,10,13],[3,5,6,7,8,12,13],[3,5,8,10,11,12,13],[4,5,6,9,11,13,14]]; G[4146]:=Group([(1,12)(3,10)(5,14)(7,8)(9,13)]); # Design 4147: autom. group order 2, simple, residual B[4147]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,9,11,13,14],[1,3,6,9,11,12,14],[1,3,7,8,10,11,12],[1,4,5,8,10,12,14],[1,4,6,7,9,10,13],[1,4,6,8,9,12,13],[1,5,7,10,12,13,14],[1,6,7,8,9,11,14],[2,3,6,8,10,13,14],[2,3,7,8,9,12,14],[2,4,6,8,11,12,13],[2,4,7,8,9,10,14],[2,4,7,11,12,13,14],[2,5,6,7,9,10,12],[2,5,6,9,10,11,12],[3,4,5,6,7,11,14],[3,4,5,9,12,13,14],[3,4,7,9,10,11,13],[3,5,6,7,8,12,13],[3,5,8,9,10,11,13],[4,5,6,8,10,11,14]]; G[4147]:=Group([(1,11)(3,12)(5,13)(7,8)(9,14)]); # Design 4148: autom. group order 2, simple B[4148]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,13,14],[1,2,5,11,12,13,14],[1,3,6,9,10,11,14],[1,3,7,8,12,13,14],[1,4,5,7,9,11,12],[1,4,6,7,10,12,13],[1,4,6,8,9,12,14],[1,5,7,8,10,11,14],[1,6,7,8,9,11,13],[2,3,6,7,9,11,14],[2,3,7,9,11,12,13],[2,4,6,8,11,12,14],[2,4,7,8,9,10,14],[2,4,7,8,10,11,13],[2,5,6,7,10,12,14],[2,5,6,8,9,12,13],[3,4,5,6,7,13,14],[3,4,5,8,11,13,14],[3,4,9,10,12,13,14],[3,5,6,8,10,11,12],[3,5,7,8,9,10,12],[4,5,6,9,10,11,13]]; G[4148]:=Group([(1,13)(2,14)(6,7)(9,11)(10,12)]); # Design 4149: autom. group order 2, simple B[4149]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,5,10,12,13,14],[1,3,6,9,11,12,14],[1,3,7,8,11,13,14],[1,4,5,7,9,11,12],[1,4,6,7,10,11,13],[1,4,6,8,9,10,14],[1,5,7,8,10,12,14],[1,6,7,8,9,12,13],[2,3,6,7,9,12,14],[2,3,7,9,10,12,13],[2,4,6,8,11,12,14],[2,4,7,8,9,10,14],[2,4,7,8,11,12,13],[2,5,6,7,10,11,14],[2,5,6,8,9,11,13],[3,4,5,6,7,13,14],[3,4,5,8,12,13,14],[3,4,9,10,11,13,14],[3,5,6,8,10,11,12],[3,5,7,8,9,10,11],[4,5,6,9,10,12,13]]; G[4149]:=Group([(1,13)(2,14)(6,7)(9,12)(10,11)]); # Design 4150: autom. group order 2, simple B[4150]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,13,14],[1,2,5,11,12,13,14],[1,3,6,9,11,12,14],[1,3,7,8,11,13,14],[1,4,5,7,9,11,12],[1,4,6,7,10,11,13],[1,4,6,8,10,12,14],[1,5,7,8,9,10,14],[1,6,7,8,9,12,13],[2,3,6,7,9,12,14],[2,3,7,9,10,12,13],[2,4,6,8,9,11,14],[2,4,7,8,9,11,13],[2,4,7,8,10,12,14],[2,5,6,7,10,11,14],[2,5,6,8,11,12,13],[3,4,5,6,7,13,14],[3,4,5,8,12,13,14],[3,4,9,10,11,13,14],[3,5,6,8,9,10,11],[3,5,7,8,10,11,12],[4,5,6,9,10,12,13]]; G[4150]:=Group([(1,13)(2,14)(6,7)(9,12)(10,11)]); # Design 4151: autom. group order 2, simple B[4151]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,5,10,12,13,14],[1,3,6,9,10,12,14],[1,3,7,8,11,13,14],[1,4,5,7,9,11,12],[1,4,6,7,10,11,13],[1,4,6,8,11,12,14],[1,5,7,8,9,10,14],[1,6,7,8,9,12,13],[2,3,6,7,9,12,14],[2,3,7,9,11,12,13],[2,4,6,8,9,11,14],[2,4,7,8,9,10,13],[2,4,7,8,10,12,14],[2,5,6,7,10,11,14],[2,5,6,8,11,12,13],[3,4,5,6,7,13,14],[3,4,5,8,12,13,14],[3,4,9,10,11,13,14],[3,5,6,8,9,10,11],[3,5,7,8,10,11,12],[4,5,6,9,10,12,13]]; G[4151]:=Group([(1,13)(2,14)(6,7)(9,12)(10,11)]); # Design 4152: autom. group order 2, simple, residual B[4152]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,5,11,12,13,14],[1,3,6,9,11,13,14],[1,3,7,9,10,12,14],[1,4,5,7,9,11,12],[1,4,6,7,8,11,14],[1,4,6,8,10,12,14],[1,5,8,9,10,11,13],[1,6,7,8,9,12,13],[2,3,7,8,9,12,14],[2,3,7,8,11,12,13],[2,4,6,7,9,11,13],[2,4,6,9,10,12,13],[2,4,8,9,10,11,14],[2,5,6,7,9,10,14],[2,5,6,8,11,12,14],[3,4,5,6,12,13,14],[3,4,5,8,9,13,14],[3,4,7,10,11,13,14],[3,5,6,7,8,10,11],[3,5,6,9,10,11,12],[4,5,7,8,10,12,13]]; G[4152]:=Group([(1,13)(2,14)(7,12)(8,9)(10,11)]); # Design 4153: autom. group order 2, simple, residual B[4153]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,10,12,13,14],[1,3,6,9,11,13,14],[1,3,7,9,10,12,14],[1,4,5,7,9,11,12],[1,4,6,7,8,10,14],[1,4,6,8,11,12,14],[1,5,8,9,10,11,13],[1,6,7,8,9,12,13],[2,3,7,8,9,12,14],[2,3,7,8,11,12,13],[2,4,6,7,9,10,13],[2,4,6,9,11,12,13],[2,4,8,9,10,11,14],[2,5,6,7,8,11,14],[2,5,6,9,10,12,14],[3,4,5,6,12,13,14],[3,4,5,8,9,13,14],[3,4,7,10,11,13,14],[3,5,6,7,9,10,11],[3,5,6,8,10,11,12],[4,5,7,8,10,12,13]]; G[4153]:=Group([(1,13)(2,14)(7,12)(8,9)(10,11)]); # Design 4154: autom. group order 2, simple, residual B[4154]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,5,11,12,13,14],[1,3,6,9,11,13,14],[1,3,7,8,11,12,14],[1,4,5,7,9,11,12],[1,4,6,7,9,10,14],[1,4,6,8,10,12,14],[1,5,8,9,10,11,13],[1,6,7,8,9,12,13],[2,3,7,8,9,12,14],[2,3,7,9,10,12,13],[2,4,6,7,9,11,13],[2,4,6,8,11,12,13],[2,4,8,9,10,11,14],[2,5,6,7,8,11,14],[2,5,6,9,10,12,14],[3,4,5,6,12,13,14],[3,4,5,8,9,13,14],[3,4,7,10,11,13,14],[3,5,6,7,8,10,11],[3,5,6,9,10,11,12],[4,5,7,8,10,12,13]]; G[4154]:=Group([(1,13)(2,14)(7,12)(8,9)(10,11)]); # Design 4155: autom. group order 2, simple, residual B[4155]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,10,12,13,14],[1,3,6,9,11,13,14],[1,3,7,8,10,12,14],[1,4,5,7,9,11,12],[1,4,6,7,9,10,14],[1,4,6,8,11,12,14],[1,5,8,9,10,11,13],[1,6,7,8,9,12,13],[2,3,7,8,9,12,14],[2,3,7,9,11,12,13],[2,4,6,7,9,10,13],[2,4,6,8,11,12,13],[2,4,8,9,10,11,14],[2,5,6,7,8,11,14],[2,5,6,9,10,12,14],[3,4,5,6,12,13,14],[3,4,5,8,9,13,14],[3,4,7,10,11,13,14],[3,5,6,7,8,10,11],[3,5,6,9,10,11,12],[4,5,7,8,10,12,13]]; G[4155]:=Group([(1,13)(2,14)(7,12)(8,9)(10,11)]); # Design 4156: autom. group order 2, simple, residual B[4156]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,5,11,12,13,14],[1,3,6,9,11,13,14],[1,3,7,8,10,12,14],[1,4,5,7,9,11,12],[1,4,6,7,8,11,14],[1,4,6,9,10,12,14],[1,5,8,9,10,11,13],[1,6,7,8,9,12,13],[2,3,7,8,9,12,14],[2,3,7,9,11,12,13],[2,4,6,7,8,11,13],[2,4,6,9,10,12,13],[2,4,8,9,10,11,14],[2,5,6,7,9,10,14],[2,5,6,8,11,12,14],[3,4,5,6,12,13,14],[3,4,5,8,9,13,14],[3,4,7,10,11,13,14],[3,5,6,7,9,10,11],[3,5,6,8,10,11,12],[4,5,7,8,10,12,13]]; G[4156]:=Group([(1,13)(2,14)(7,12)(8,9)(10,11)]); # Design 4157: autom. group order 2, simple, residual B[4157]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,10,12,13,14],[1,3,6,9,11,13,14],[1,3,7,8,11,12,14],[1,4,5,7,9,11,12],[1,4,6,7,8,10,14],[1,4,6,9,10,12,14],[1,5,8,9,10,11,13],[1,6,7,8,9,12,13],[2,3,7,8,9,12,14],[2,3,7,9,10,12,13],[2,4,6,7,8,11,13],[2,4,6,9,11,12,13],[2,4,8,9,10,11,14],[2,5,6,7,9,10,14],[2,5,6,8,11,12,14],[3,4,5,6,12,13,14],[3,4,5,8,9,13,14],[3,4,7,10,11,13,14],[3,5,6,7,9,10,11],[3,5,6,8,10,11,12],[4,5,7,8,10,12,13]]; G[4157]:=Group([(1,13)(2,14)(7,12)(8,9)(10,11)]); # Design 4158: autom. group order 2, simple B[4158]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,7,10,12,14],[1,3,6,7,9,11,12],[1,3,8,9,12,13,14],[1,4,5,9,11,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,13,14],[1,5,6,8,11,12,13],[1,6,7,8,10,11,14],[2,3,6,9,10,11,13],[2,3,7,8,12,13,14],[2,4,6,7,8,9,13],[2,4,6,8,11,12,14],[2,4,7,9,11,12,14],[2,5,6,8,9,10,14],[2,5,9,10,11,12,13],[3,4,5,6,12,13,14],[3,4,5,8,10,11,14],[3,4,7,8,10,11,13],[3,5,6,7,9,11,14],[3,5,7,8,9,10,12],[4,5,6,7,10,12,13]]; G[4158]:=Group([(1,12)(3,11)(5,14)(6,9)]); # Design 4159: autom. group order 2, simple, residual B[4159]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,7,10,12,14],[1,3,6,7,9,11,12],[1,3,8,9,12,13,14],[1,4,5,9,11,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,13,14],[1,5,6,8,11,12,13],[1,6,7,8,9,10,12],[2,3,6,9,10,11,13],[2,3,7,8,12,13,14],[2,4,6,7,8,9,13],[2,4,6,8,11,12,14],[2,4,7,9,11,12,14],[2,5,6,8,9,10,14],[2,5,9,10,11,12,13],[3,4,5,6,12,13,14],[3,4,5,8,9,10,12],[3,4,7,8,10,11,13],[3,5,6,7,9,11,14],[3,5,7,8,10,11,14],[4,5,6,7,10,12,13]]; G[4159]:=Group([(1,12)(3,11)(5,14)(6,9)]); # Design 4160: autom. group order 2, simple, residual B[4160]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,7,9,12,14],[1,3,6,7,8,10,14],[1,3,8,9,11,12,13],[1,4,5,10,12,13,14],[1,4,6,8,11,13,14],[1,4,7,9,11,13,14],[1,5,6,9,10,11,12],[1,6,7,8,9,10,12],[2,3,6,9,12,13,14],[2,3,7,9,10,11,13],[2,4,6,7,8,12,13],[2,4,6,8,9,10,11],[2,4,7,10,11,12,14],[2,5,6,8,11,12,14],[2,5,8,9,10,13,14],[3,4,5,6,9,11,14],[3,4,5,8,10,12,13],[3,4,7,8,9,12,14],[3,5,6,7,11,12,13],[3,5,7,8,10,11,14],[4,5,6,7,9,10,13]]; G[4160]:=Group([(2,13)(3,14)(5,11)(7,8)]); # Design 4161: autom. group order 2, simple, residual B[4161]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,7,10,12,14],[1,3,6,9,10,11,12],[1,3,8,9,12,13,14],[1,4,5,9,11,13,14],[1,4,6,7,8,9,12],[1,4,7,9,10,13,14],[1,5,6,8,11,12,13],[1,6,7,8,10,11,14],[2,3,6,7,9,11,13],[2,3,7,8,12,13,14],[2,4,6,8,9,10,13],[2,4,6,8,11,12,14],[2,4,7,9,11,12,14],[2,5,6,8,9,10,14],[2,5,9,10,11,12,13],[3,4,5,6,12,13,14],[3,4,5,8,10,11,14],[3,4,7,8,10,11,13],[3,5,6,7,9,11,14],[3,5,7,8,9,10,12],[4,5,6,7,10,12,13]]; G[4161]:=Group([(1,12)(3,11)(5,14)(6,9)]); # Design 4162: autom. group order 2, simple, residual B[4162]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,5,9,10,12,14],[1,3,6,7,8,10,14],[1,3,7,9,11,12,13],[1,4,5,7,12,13,14],[1,4,6,10,11,13,14],[1,4,8,9,11,13,14],[1,5,6,8,9,11,12],[1,6,7,8,9,10,12],[2,3,6,9,12,13,14],[2,3,7,8,11,12,13],[2,4,6,7,9,10,13],[2,4,6,8,10,11,12],[2,4,7,8,9,11,14],[2,5,6,7,9,11,14],[2,5,8,10,12,13,14],[3,4,5,6,11,12,14],[3,4,5,8,9,10,13],[3,4,7,9,10,12,14],[3,5,6,9,10,11,13],[3,5,7,8,10,11,14],[4,5,6,7,8,12,13]]; G[4162]:=Group([(2,13)(3,14)(5,11)(7,10)]); # Design 4163: autom. group order 2, simple, residual B[4163]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,5,9,10,12,14],[1,3,6,7,8,10,14],[1,3,7,9,11,12,13],[1,4,5,7,12,13,14],[1,4,6,10,11,13,14],[1,4,8,9,11,13,14],[1,5,6,8,9,11,12],[1,6,7,8,9,10,12],[2,3,6,9,12,13,14],[2,3,8,10,11,12,13],[2,4,6,7,8,11,12],[2,4,6,7,9,10,13],[2,4,7,8,9,11,14],[2,5,6,9,10,11,14],[2,5,7,8,12,13,14],[3,4,5,6,11,12,14],[3,4,5,8,9,10,13],[3,4,7,9,10,12,14],[3,5,6,7,9,11,13],[3,5,7,8,10,11,14],[4,5,6,8,10,12,13]]; G[4163]:=Group([(2,13)(3,14)(5,11)(7,10)]); # Design 4164: autom. group order 2, simple, residual B[4164]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,5,8,10,13,14],[1,3,6,7,11,12,14],[1,3,7,8,9,12,13],[1,4,5,9,11,12,14],[1,4,6,7,8,10,14],[1,4,8,9,10,11,13],[1,5,6,9,11,13,14],[1,6,7,8,9,10,12],[2,3,6,8,9,11,14],[2,3,7,9,10,13,14],[2,4,6,8,12,13,14],[2,4,6,9,10,12,14],[2,4,7,9,11,12,13],[2,5,6,7,8,9,11],[2,5,7,8,10,11,12],[3,4,5,6,8,12,13],[3,4,5,7,9,10,14],[3,4,7,8,11,13,14],[3,5,6,9,10,12,13],[3,5,8,10,11,12,14],[4,5,6,7,10,11,13]]; G[4164]:=Group([(2,5)(3,14)(4,13)(6,12)(9,10)]); # Design 4165: autom. group order 2, simple, residual B[4165]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,7,10,11,14],[1,3,7,9,11,12,13],[1,4,5,10,11,12,14],[1,4,6,7,8,9,14],[1,4,8,9,10,12,13],[1,5,6,8,10,13,14],[1,6,7,8,9,11,12],[2,3,6,9,10,12,14],[2,3,7,8,12,13,14],[2,4,6,8,11,12,14],[2,4,6,9,11,13,14],[2,4,7,8,10,11,13],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,9,11,13],[3,4,5,7,8,12,14],[3,4,7,9,10,13,14],[3,5,6,8,11,12,13],[3,5,8,9,10,11,14],[4,5,6,7,10,12,13]]; G[4165]:=Group([(2,5)(3,14)(4,13)(6,11)(8,12)]); # Design 4166: autom. group order 2, simple B[4166]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,10,11,13],[1,2,5,8,12,13,14],[1,3,6,7,9,11,12],[1,3,7,9,12,13,14],[1,4,5,9,11,13,14],[1,4,6,8,10,11,14],[1,4,7,8,9,10,14],[1,5,6,7,8,11,12],[1,6,8,9,10,12,13],[2,3,6,8,9,11,13],[2,3,7,8,10,12,14],[2,4,6,7,8,9,13],[2,4,6,11,12,13,14],[2,4,7,9,11,12,14],[2,5,6,7,9,10,14],[2,5,8,9,10,11,12],[3,4,5,6,8,12,14],[3,4,5,9,10,12,13],[3,4,7,8,10,11,13],[3,5,6,9,10,11,14],[3,5,7,8,11,13,14],[4,5,6,7,10,12,13]]; G[4166]:=Group([(1,12)(3,11)(5,14)(6,9)(8,13)]); # Design 4167: autom. group order 2, simple, residual B[4167]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,8,9,12,14],[1,3,6,7,8,10,14],[1,3,7,9,11,12,13],[1,4,5,10,12,13,14],[1,4,6,8,11,13,14],[1,4,7,9,11,13,14],[1,5,6,9,10,11,12],[1,6,7,8,9,10,12],[2,3,6,9,12,13,14],[2,3,8,9,10,11,13],[2,4,6,7,8,12,13],[2,4,6,7,9,10,11],[2,4,8,10,11,12,14],[2,5,6,7,11,12,14],[2,5,7,9,10,13,14],[3,4,5,6,9,11,14],[3,4,5,7,10,12,13],[3,4,7,8,9,12,14],[3,5,6,8,11,12,13],[3,5,7,8,10,11,14],[4,5,6,8,9,10,13]]; G[4167]:=Group([(2,13)(3,14)(5,11)(7,8)]); # Design 4168: autom. group order 2, simple, residual B[4168]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,11,13,14],[1,3,6,7,11,12,14],[1,3,8,9,11,12,14],[1,4,5,7,9,10,12],[1,4,6,7,10,13,14],[1,4,8,9,10,13,14],[1,5,6,8,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,7,9,10,12,13],[2,4,6,8,10,11,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,13],[2,5,6,9,10,12,14],[2,5,7,8,10,12,14],[3,4,5,6,12,13,14],[3,4,5,8,12,13,14],[3,4,7,9,10,11,14],[3,5,6,9,10,11,13],[3,5,7,8,10,11,13],[4,5,6,7,8,9,11]]; G[4168]:=Group([(6,8)(7,9)]); # Design 4169: autom. group order 2, simple, residual B[4169]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,11,13,14],[1,3,6,7,11,12,14],[1,3,8,9,11,12,14],[1,4,5,7,9,10,12],[1,4,6,9,10,13,14],[1,4,7,8,10,13,14],[1,5,6,8,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,7,9,10,12,13],[2,4,6,8,10,11,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,13],[2,5,6,7,10,12,14],[2,5,8,9,10,12,14],[3,4,5,6,12,13,14],[3,4,5,8,12,13,14],[3,4,7,9,10,11,14],[3,5,6,9,10,11,13],[3,5,7,8,10,11,13],[4,5,6,7,8,9,11]]; G[4169]:=Group([(6,8)(7,9)]); # Design 4170: autom. group order 2, simple, residual B[4170]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,11,13,14],[1,3,6,7,11,12,14],[1,3,8,9,11,12,14],[1,4,5,7,9,10,12],[1,4,6,9,10,13,14],[1,4,7,8,10,13,14],[1,5,6,8,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,7,9,10,12,13],[2,4,6,8,10,11,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,13],[2,5,6,9,10,12,14],[2,5,7,8,10,12,14],[3,4,5,6,12,13,14],[3,4,5,8,12,13,14],[3,4,7,9,10,11,14],[3,5,6,7,10,11,13],[3,5,8,9,10,11,13],[4,5,6,7,8,9,11]]; G[4170]:=Group([(6,8)(7,9)]); # Design 4171: autom. group order 2, simple, residual B[4171]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,7,10,11,14],[1,3,8,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,7,12,13,14],[2,3,8,9,11,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,11,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,9,11,14],[3,4,5,7,8,12,14],[3,4,7,9,11,12,13],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,8,10,13,14]]; G[4171]:=Group([(6,8)(7,9)(11,12)]); # Design 4172: autom. group order 2, simple, residual B[4172]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,7,10,11,14],[1,3,8,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,7,12,13,14],[2,3,8,9,11,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,11,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,9,12,14],[3,4,5,7,8,11,14],[3,4,7,9,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,8,10,13,14]]; G[4172]:=Group([(6,8)(7,9)(11,12)]); # Design 4173: autom. group order 2, simple, residual B[4173]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,7,10,11,14],[1,3,8,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,7,12,13,14],[2,3,8,9,11,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,12,14],[2,4,7,8,10,11,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,9,11,14],[3,4,5,7,8,12,14],[3,4,7,9,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,8,10,13,14]]; G[4173]:=Group([(6,8)(7,9)(11,12)]); # Design 4174: autom. group order 2, simple, residual B[4174]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,7,10,12,14],[1,3,8,9,10,11,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,7,11,13,14],[2,3,8,9,12,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,11,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,9,11,14],[3,4,5,7,8,12,14],[3,4,7,9,11,12,13],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,8,10,13,14]]; G[4174]:=Group([(6,8)(7,9)(11,12)]); # Design 4175: autom. group order 2, simple, residual B[4175]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,7,10,12,14],[1,3,8,9,10,11,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,7,11,13,14],[2,3,8,9,12,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,11,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,9,12,14],[3,4,5,7,8,11,14],[3,4,7,9,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,8,10,13,14]]; G[4175]:=Group([(6,8)(7,9)(11,12)]); # Design 4176: autom. group order 2, simple, residual B[4176]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,7,10,12,14],[1,3,8,9,10,11,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,7,11,13,14],[2,3,8,9,12,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,12,14],[2,4,7,8,10,11,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,9,11,14],[3,4,5,7,8,12,14],[3,4,7,9,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,8,10,13,14]]; G[4176]:=Group([(6,8)(7,9)(11,12)]); # Design 4177: autom. group order 2, simple, residual B[4177]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,5,9,12,13,14],[1,3,6,7,8,12,13],[1,3,8,9,11,13,14],[1,4,5,11,12,13,14],[1,4,6,7,8,9,13],[1,4,7,9,10,11,12],[1,5,6,8,10,12,14],[1,6,7,9,10,11,14],[2,3,6,8,11,12,14],[2,3,7,9,10,13,14],[2,4,6,7,12,13,14],[2,4,6,8,9,11,14],[2,4,8,9,10,12,13],[2,5,6,7,9,11,12],[2,5,7,8,10,11,13],[3,4,5,6,9,10,14],[3,4,5,7,11,13,14],[3,4,7,8,10,12,14],[3,5,6,9,10,12,13],[3,5,7,8,9,11,12],[4,5,6,8,10,11,13]]; G[4177]:=Group([(1,11)(2,7)(3,9)(4,12)(13,14)]); # Design 4178: autom. group order 2, simple, residual B[4178]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,5,9,12,13,14],[1,3,6,7,8,12,14],[1,3,8,9,11,13,14],[1,4,5,11,12,13,14],[1,4,6,7,8,9,13],[1,4,7,9,10,11,12],[1,5,6,8,10,12,13],[1,6,7,9,10,11,14],[2,3,6,8,11,12,14],[2,3,7,9,10,13,14],[2,4,6,7,12,13,14],[2,4,6,8,9,11,13],[2,4,8,9,10,12,14],[2,5,6,7,9,11,12],[2,5,7,8,10,11,13],[3,4,5,6,9,10,14],[3,4,5,7,11,13,14],[3,4,7,8,10,12,13],[3,5,6,9,10,12,13],[3,5,7,8,9,11,12],[4,5,6,8,10,11,14]]; G[4178]:=Group([(1,11)(2,7)(3,9)(4,12)(13,14)]); # Design 4179: autom. group order 2, simple, residual B[4179]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,7,10,11,14],[1,3,8,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,6,7,10,12,14],[2,4,6,8,11,12,13],[2,4,8,9,10,11,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,9,11,14],[3,4,5,7,8,12,14],[3,4,7,9,11,12,13],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,8,10,13,14]]; G[4179]:=Group([(6,8)(7,9)(11,12)]); # Design 4180: autom. group order 2, simple, residual B[4180]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,7,10,11,14],[1,3,8,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,6,7,10,12,14],[2,4,6,8,11,12,13],[2,4,8,9,10,11,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,9,12,14],[3,4,5,7,8,11,14],[3,4,7,9,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,8,10,13,14]]; G[4180]:=Group([(6,8)(7,9)(11,12)]); # Design 4181: autom. group order 2, simple, residual B[4181]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,7,10,11,14],[1,3,8,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,6,7,10,12,14],[2,4,6,8,11,12,13],[2,4,8,9,10,11,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,9,11,14],[3,4,5,7,8,12,14],[3,4,7,9,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,8,10,13,14]]; G[4181]:=Group([(6,8)(7,9)(11,12)]); # Design 4182: autom. group order 2, simple, residual B[4182]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,7,10,12,14],[1,3,8,9,10,11,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,6,7,10,11,14],[2,4,6,8,11,12,13],[2,4,8,9,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,9,11,14],[3,4,5,7,8,12,14],[3,4,7,9,11,12,13],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,8,10,13,14]]; G[4182]:=Group([(6,8)(7,9)(11,12)]); # Design 4183: autom. group order 2, simple, residual B[4183]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,7,10,12,14],[1,3,8,9,10,11,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,6,7,10,11,14],[2,4,6,8,11,12,13],[2,4,8,9,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,9,12,14],[3,4,5,7,8,11,14],[3,4,7,9,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,8,10,13,14]]; G[4183]:=Group([(6,8)(7,9)(11,12)]); # Design 4184: autom. group order 2, simple, residual B[4184]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,7,10,12,14],[1,3,8,9,10,11,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,6,7,10,11,14],[2,4,6,8,11,12,13],[2,4,8,9,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,9,11,14],[3,4,5,7,8,12,14],[3,4,7,9,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,8,10,13,14]]; G[4184]:=Group([(6,8)(7,9)(11,12)]); # Design 4185: autom. group order 2, simple, residual B[4185]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,7,10,11,14],[1,3,8,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,11,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,7,12,14],[3,4,5,8,9,11,14],[3,4,7,9,11,12,13],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,8,10,13,14]]; G[4185]:=Group([(6,8)(7,9)(11,12)]); # Design 4186: autom. group order 2, simple, residual B[4186]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,7,10,11,14],[1,3,8,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,12,14],[2,4,7,8,10,11,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,7,12,14],[3,4,5,8,9,11,14],[3,4,7,9,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,8,10,13,14]]; G[4186]:=Group([(6,8)(7,9)(11,12)]); # Design 4187: autom. group order 2, simple, residual B[4187]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,7,10,11,14],[1,3,8,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,11,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,7,12,14],[3,4,5,8,9,11,14],[3,4,7,9,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,8,10,13,14]]; G[4187]:=Group([(6,8)(7,9)(11,12)]); # Design 4188: autom. group order 2, simple, residual B[4188]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,7,10,12,14],[1,3,8,9,10,11,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,11,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,7,11,14],[3,4,5,8,9,12,14],[3,4,7,9,11,12,13],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,8,10,13,14]]; G[4188]:=Group([(6,8)(7,9)(11,12)]); # Design 4189: autom. group order 2, simple, residual B[4189]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,7,10,12,14],[1,3,8,9,10,11,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,12,14],[2,4,7,8,10,11,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,7,11,14],[3,4,5,8,9,12,14],[3,4,7,9,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,8,10,13,14]]; G[4189]:=Group([(6,8)(7,9)(11,12)]); # Design 4190: autom. group order 2, simple, residual B[4190]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,7,10,12,14],[1,3,8,9,10,11,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,11,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,7,11,14],[3,4,5,8,9,12,14],[3,4,7,9,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,8,10,13,14]]; G[4190]:=Group([(6,8)(7,9)(11,12)]); # Design 4191: autom. group order 2, simple, residual B[4191]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,7,10,11,14],[1,3,8,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,11,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,9,12,14],[3,4,5,7,8,11,14],[3,4,7,9,11,12,13],[3,5,6,7,10,12,13],[3,5,8,9,10,11,13],[4,5,6,8,10,13,14]]; G[4191]:=Group([(6,8)(7,9)(11,12)]); # Design 4192: autom. group order 2, simple, residual B[4192]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,7,10,11,14],[1,3,8,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,12,14],[2,4,7,8,10,11,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,9,11,14],[3,4,5,7,8,12,14],[3,4,7,9,11,12,13],[3,5,6,7,10,12,13],[3,5,8,9,10,11,13],[4,5,6,8,10,13,14]]; G[4192]:=Group([(6,8)(7,9)(11,12)]); # Design 4193: autom. group order 2, simple, residual B[4193]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,7,10,11,14],[1,3,8,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,11,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,9,11,14],[3,4,5,7,8,12,14],[3,4,7,9,11,12,13],[3,5,6,7,10,12,13],[3,5,8,9,10,11,13],[4,5,6,8,10,13,14]]; G[4193]:=Group([(6,8)(7,9)(11,12)]); # Design 4194: autom. group order 2, simple, residual B[4194]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,7,10,12,14],[1,3,8,9,10,11,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,11,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,9,12,14],[3,4,5,7,8,11,14],[3,4,7,9,11,12,13],[3,5,6,7,10,11,13],[3,5,8,9,10,12,13],[4,5,6,8,10,13,14]]; G[4194]:=Group([(6,8)(7,9)(11,12)]); # Design 4195: autom. group order 2, simple, residual B[4195]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,7,10,12,14],[1,3,8,9,10,11,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,12,14],[2,4,7,8,10,11,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,9,11,14],[3,4,5,7,8,12,14],[3,4,7,9,11,12,13],[3,5,6,7,10,11,13],[3,5,8,9,10,12,13],[4,5,6,8,10,13,14]]; G[4195]:=Group([(6,8)(7,9)(11,12)]); # Design 4196: autom. group order 2, simple, residual B[4196]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,7,10,12,14],[1,3,8,9,10,11,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,11,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,9,11,14],[3,4,5,7,8,12,14],[3,4,7,9,11,12,13],[3,5,6,7,10,11,13],[3,5,8,9,10,12,13],[4,5,6,8,10,13,14]]; G[4196]:=Group([(6,8)(7,9)(11,12)]); # Design 4197: autom. group order 2, simple B[4197]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,9,12,13],[1,3,6,7,8,10,12],[1,3,8,9,12,13,14],[1,4,5,8,10,11,14],[1,4,6,9,10,11,13],[1,4,7,9,10,12,14],[1,5,6,7,11,12,13],[1,6,7,8,9,11,14],[2,3,6,9,11,12,14],[2,3,7,9,10,11,13],[2,4,6,7,8,12,13],[2,4,6,8,11,12,14],[2,4,7,8,10,13,14],[2,5,6,8,9,10,11],[2,5,7,9,10,12,14],[3,4,5,6,7,9,14],[3,4,5,11,12,13,14],[3,4,7,8,9,11,13],[3,5,6,8,10,13,14],[3,5,7,8,10,11,12],[4,5,6,9,10,12,13]]; G[4197]:=Group([(1,5)(3,9)(4,8)(6,12)(7,13)]); # Design 4198: autom. group order 2, simple B[4198]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,9,12,13],[1,3,6,7,8,10,12],[1,3,8,9,12,13,14],[1,4,5,8,10,11,14],[1,4,6,9,10,13,14],[1,4,7,9,10,11,12],[1,5,6,7,11,12,13],[1,6,7,8,9,11,14],[2,3,6,9,11,12,14],[2,3,7,9,10,11,13],[2,4,6,7,8,12,13],[2,4,6,8,11,12,14],[2,4,7,8,10,13,14],[2,5,6,8,9,10,11],[2,5,7,9,10,12,14],[3,4,5,6,7,9,14],[3,4,5,11,12,13,14],[3,4,7,8,9,11,13],[3,5,6,8,10,11,13],[3,5,7,8,10,12,14],[4,5,6,9,10,12,13]]; G[4198]:=Group([(1,5)(3,9)(4,8)(6,12)(7,13)]); # Design 4199: autom. group order 2, simple B[4199]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,9,12,13],[1,3,6,7,8,10,12],[1,3,8,9,12,13,14],[1,4,5,8,10,11,14],[1,4,6,9,10,11,13],[1,4,7,9,11,12,14],[1,5,6,7,11,12,13],[1,6,7,8,9,10,14],[2,3,6,9,11,12,14],[2,3,7,9,10,11,13],[2,4,6,7,8,12,13],[2,4,6,8,11,12,14],[2,4,7,8,10,13,14],[2,5,6,8,9,10,11],[2,5,7,9,10,12,14],[3,4,5,6,7,9,14],[3,4,5,10,12,13,14],[3,4,7,8,9,11,13],[3,5,6,8,11,13,14],[3,5,7,8,10,11,12],[4,5,6,9,10,12,13]]; G[4199]:=Group([(1,5)(3,9)(4,8)(6,12)(7,13)]); # Design 4200: autom. group order 2, simple B[4200]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,9,12,13],[1,3,6,7,8,10,12],[1,3,8,9,12,13,14],[1,4,5,8,10,11,14],[1,4,6,9,10,13,14],[1,4,7,9,11,12,14],[1,5,6,7,11,12,13],[1,6,7,8,9,10,11],[2,3,6,9,11,12,14],[2,3,7,9,10,11,13],[2,4,6,7,8,12,13],[2,4,6,8,11,12,14],[2,4,7,8,10,13,14],[2,5,6,8,9,10,11],[2,5,7,9,10,12,14],[3,4,5,6,7,9,14],[3,4,5,10,11,12,13],[3,4,7,8,9,11,13],[3,5,6,8,11,13,14],[3,5,7,8,10,12,14],[4,5,6,9,10,12,13]]; G[4200]:=Group([(1,5)(3,9)(4,8)(6,12)(7,13)]); # Design 4201: autom. group order 2, simple B[4201]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,9,12,13],[1,3,6,7,8,10,12],[1,3,8,9,12,13,14],[1,4,5,8,10,11,14],[1,4,6,9,11,13,14],[1,4,7,9,10,11,12],[1,5,6,7,11,12,13],[1,6,7,8,9,10,14],[2,3,6,9,11,12,14],[2,3,7,9,10,11,13],[2,4,6,7,8,12,13],[2,4,6,8,11,12,14],[2,4,7,8,10,13,14],[2,5,6,8,9,10,11],[2,5,7,9,10,12,14],[3,4,5,6,7,9,14],[3,4,5,10,12,13,14],[3,4,7,8,9,11,13],[3,5,6,8,10,11,13],[3,5,7,8,11,12,14],[4,5,6,9,10,12,13]]; G[4201]:=Group([(1,5)(3,9)(4,8)(6,12)(7,13)]); # Design 4202: autom. group order 2, simple B[4202]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,9,12,13],[1,3,6,7,8,10,12],[1,3,8,9,12,13,14],[1,4,5,8,10,11,14],[1,4,6,9,11,13,14],[1,4,7,9,10,12,14],[1,5,6,7,11,12,13],[1,6,7,8,9,10,11],[2,3,6,9,11,12,14],[2,3,7,9,10,11,13],[2,4,6,7,8,12,13],[2,4,6,8,11,12,14],[2,4,7,8,10,13,14],[2,5,6,8,9,10,11],[2,5,7,9,10,12,14],[3,4,5,6,7,9,14],[3,4,5,10,11,12,13],[3,4,7,8,9,11,13],[3,5,6,8,10,13,14],[3,5,7,8,11,12,14],[4,5,6,9,10,12,13]]; G[4202]:=Group([(1,5)(3,9)(4,8)(6,12)(7,13)]); # Design 4203: autom. group order 2, simple B[4203]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,9,12,13],[1,3,6,7,8,11,12],[1,3,8,9,12,13,14],[1,4,5,8,10,11,14],[1,4,6,9,10,13,14],[1,4,7,9,10,11,12],[1,5,6,7,10,12,13],[1,6,7,8,9,11,14],[2,3,6,9,11,12,14],[2,3,7,9,10,11,13],[2,4,6,7,8,12,13],[2,4,6,8,10,12,14],[2,4,7,8,11,13,14],[2,5,6,8,9,10,11],[2,5,7,9,10,12,14],[3,4,5,6,7,9,14],[3,4,5,11,12,13,14],[3,4,7,8,9,10,13],[3,5,6,8,10,11,13],[3,5,7,8,10,12,14],[4,5,6,9,11,12,13]]; G[4203]:=Group([(1,5)(3,9)(4,8)(6,12)(7,13)]); # Design 4204: autom. group order 2, simple B[4204]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,9,12,13],[1,3,6,7,8,11,12],[1,3,8,9,12,13,14],[1,4,5,8,10,11,14],[1,4,6,9,10,11,13],[1,4,7,9,11,12,14],[1,5,6,7,10,12,13],[1,6,7,8,9,10,14],[2,3,6,9,11,12,14],[2,3,7,9,10,11,13],[2,4,6,7,8,12,13],[2,4,6,8,10,12,14],[2,4,7,8,11,13,14],[2,5,6,8,9,10,11],[2,5,7,9,10,12,14],[3,4,5,6,7,9,14],[3,4,5,10,12,13,14],[3,4,7,8,9,10,13],[3,5,6,8,11,13,14],[3,5,7,8,10,11,12],[4,5,6,9,11,12,13]]; G[4204]:=Group([(1,5)(3,9)(4,8)(6,12)(7,13)]); # Design 4205: autom. group order 2, simple B[4205]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,9,12,13],[1,3,6,7,8,11,12],[1,3,8,9,12,13,14],[1,4,5,8,10,11,14],[1,4,6,9,10,13,14],[1,4,7,9,11,12,14],[1,5,6,7,10,12,13],[1,6,7,8,9,10,11],[2,3,6,9,11,12,14],[2,3,7,9,10,11,13],[2,4,6,7,8,12,13],[2,4,6,8,10,12,14],[2,4,7,8,11,13,14],[2,5,6,8,9,10,11],[2,5,7,9,10,12,14],[3,4,5,6,7,9,14],[3,4,5,10,11,12,13],[3,4,7,8,9,10,13],[3,5,6,8,11,13,14],[3,5,7,8,10,12,14],[4,5,6,9,11,12,13]]; G[4205]:=Group([(1,5)(3,9)(4,8)(6,12)(7,13)]); # Design 4206: autom. group order 2, simple B[4206]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,10,12,13],[1,3,6,8,9,11,12],[1,3,7,8,9,11,14],[1,4,5,7,9,12,14],[1,4,6,7,10,12,14],[1,4,8,9,10,13,14],[1,5,6,8,11,12,13],[1,6,7,9,10,11,13],[2,3,6,7,9,12,13],[2,3,7,8,10,11,14],[2,4,6,7,8,9,13],[2,4,6,8,11,12,14],[2,4,9,11,12,13,14],[2,5,6,8,9,10,14],[2,5,7,9,10,11,12],[3,4,5,6,11,13,14],[3,4,5,9,10,11,13],[3,4,7,8,10,12,13],[3,5,6,9,10,12,14],[3,5,7,8,12,13,14],[4,5,6,7,8,10,11]]; G[4206]:=Group([(1,11)(3,12)(5,14)(6,9)(7,13)]); # Design 4207: autom. group order 2, simple B[4207]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,9,12,13],[1,3,6,8,10,11,12],[1,3,7,8,12,13,14],[1,4,5,7,10,11,14],[1,4,6,7,9,12,13],[1,4,9,10,12,13,14],[1,5,6,8,9,11,14],[1,6,7,8,9,10,11],[2,3,6,9,11,13,14],[2,3,7,8,9,10,14],[2,4,6,7,8,10,13],[2,4,6,9,11,12,14],[2,4,7,8,11,12,14],[2,5,6,7,9,10,12],[2,5,8,10,11,12,13],[3,4,5,6,8,12,14],[3,4,5,9,10,11,13],[3,4,7,8,9,11,13],[3,5,6,7,11,12,13],[3,5,7,9,10,12,14],[4,5,6,8,10,13,14]]; G[4207]:=Group([(1,11)(3,12)(5,14)(6,8)]); # Design 4208: autom. group order 2, simple B[4208]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,5,9,11,12,13],[1,3,6,9,10,11,12],[1,3,7,9,11,13,14],[1,4,5,7,10,12,14],[1,4,6,7,8,11,13],[1,4,8,11,12,13,14],[1,5,6,8,9,10,14],[1,6,7,8,9,10,12],[2,3,6,10,12,13,14],[2,3,7,8,9,12,14],[2,4,6,7,9,12,13],[2,4,6,8,10,11,14],[2,4,7,9,10,11,14],[2,5,6,7,8,11,12],[2,5,8,9,10,11,13],[3,4,5,6,9,11,14],[3,4,5,8,10,12,13],[3,4,7,8,9,10,13],[3,5,6,7,10,11,13],[3,5,7,8,11,12,14],[4,5,6,9,12,13,14]]; G[4208]:=Group([(1,10)(3,11)(5,14)(6,9)]); # Design 4209: autom. group order 2, simple B[4209]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,9,12,13,14],[1,3,6,8,10,11,12],[1,3,7,9,11,12,13],[1,4,5,7,10,12,14],[1,4,6,8,9,11,14],[1,4,7,8,10,13,14],[1,5,6,9,10,11,14],[1,6,7,8,9,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,10,14],[2,4,6,8,9,10,13],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,6,7,10,11,13],[2,5,8,9,10,11,12],[3,4,5,6,8,12,13],[3,4,5,9,11,13,14],[3,4,7,9,10,11,13],[3,5,6,7,8,11,14],[3,5,8,10,12,13,14],[4,5,6,7,9,10,12]]; G[4209]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 4210: autom. group order 2, simple B[4210]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,9,12,13,14],[1,3,6,8,10,11,12],[1,3,7,9,11,12,13],[1,4,5,7,10,12,14],[1,4,6,8,9,12,13],[1,4,7,8,10,13,14],[1,5,6,9,10,11,14],[1,6,7,8,9,11,14],[2,3,6,7,9,12,14],[2,3,7,8,9,10,14],[2,4,6,8,9,10,13],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,6,7,10,11,13],[2,5,8,9,10,11,12],[3,4,5,6,8,11,14],[3,4,5,9,11,13,14],[3,4,7,9,10,11,13],[3,5,6,7,8,12,13],[3,5,8,10,12,13,14],[4,5,6,7,9,10,12]]; G[4210]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 4211: autom. group order 2, simple B[4211]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,9,12,13,14],[1,3,6,8,10,11,12],[1,3,7,8,11,13,14],[1,4,5,7,10,12,14],[1,4,6,8,9,11,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,12,13],[2,3,6,7,9,12,14],[2,3,7,9,10,11,13],[2,4,6,8,9,10,13],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,6,7,8,10,14],[2,5,8,9,10,11,12],[3,4,5,6,8,12,13],[3,4,5,9,11,13,14],[3,4,7,8,9,10,14],[3,5,6,7,9,11,12],[3,5,8,10,12,13,14],[4,5,6,7,10,11,13]]; G[4211]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 4212: autom. group order 2, simple, residual B[4212]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,9,12,13,14],[1,3,6,8,10,11,12],[1,3,7,8,11,13,14],[1,4,5,7,10,12,14],[1,4,6,8,9,11,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,10,14],[2,4,6,8,9,10,13],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,6,7,10,11,13],[2,5,8,9,10,11,12],[3,4,5,6,8,12,13],[3,4,5,9,11,13,14],[3,4,7,9,10,11,13],[3,5,6,7,9,11,12],[3,5,8,10,12,13,14],[4,5,6,7,8,10,14]]; G[4212]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 4213: autom. group order 2, simple B[4213]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,9,12,13],[1,3,6,8,10,11,12],[1,3,7,8,9,12,14],[1,4,5,9,10,11,14],[1,4,6,7,8,12,14],[1,4,7,9,10,11,13],[1,5,6,10,12,13,14],[1,6,7,8,9,11,13],[2,3,6,7,9,11,14],[2,3,7,9,10,12,13],[2,4,6,7,8,10,13],[2,4,6,9,11,12,14],[2,4,8,11,12,13,14],[2,5,6,8,9,10,14],[2,5,7,8,10,11,12],[3,4,5,6,8,11,13],[3,4,5,7,12,13,14],[3,4,8,9,10,13,14],[3,5,6,9,11,12,13],[3,5,7,8,10,11,14],[4,5,6,7,9,10,12]]; G[4213]:=Group([(1,11)(3,12)(5,14)(6,8)(7,13)]); # Design 4214: autom. group order 2, simple B[4214]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,9,12,13],[1,3,6,8,10,11,12],[1,3,7,9,11,12,13],[1,4,5,9,10,11,14],[1,4,6,7,8,11,13],[1,4,7,8,9,10,14],[1,5,6,10,12,13,14],[1,6,7,8,9,12,14],[2,3,6,7,9,11,14],[2,3,8,9,10,13,14],[2,4,6,7,8,10,13],[2,4,6,9,11,12,14],[2,4,8,11,12,13,14],[2,5,6,7,9,10,12],[2,5,7,8,10,11,12],[3,4,5,6,8,12,14],[3,4,5,7,12,13,14],[3,4,7,9,10,12,13],[3,5,6,8,9,11,13],[3,5,7,8,10,11,14],[4,5,6,9,10,11,13]]; G[4214]:=Group([(1,11)(3,12)(5,14)(6,8)(7,13)]); # Design 4215: autom. group order 2, simple B[4215]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,9,12,13],[1,3,6,8,10,11,12],[1,3,7,9,11,12,13],[1,4,5,9,10,11,14],[1,4,6,7,8,12,14],[1,4,7,8,9,10,14],[1,5,6,10,12,13,14],[1,6,7,8,9,11,13],[2,3,6,7,9,11,14],[2,3,8,9,10,13,14],[2,4,6,7,8,10,13],[2,4,6,9,11,12,14],[2,4,8,11,12,13,14],[2,5,6,7,9,10,12],[2,5,7,8,10,11,12],[3,4,5,6,8,11,13],[3,4,5,7,12,13,14],[3,4,7,9,10,12,13],[3,5,6,8,9,12,14],[3,5,7,8,10,11,14],[4,5,6,9,10,11,13]]; G[4215]:=Group([(1,11)(3,12)(5,14)(6,8)(7,13)]); # Design 4216: autom. group order 2, simple, residual B[4216]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,9,12,13],[1,3,6,8,10,11,12],[1,3,7,8,9,12,14],[1,4,5,9,10,11,14],[1,4,6,7,8,12,14],[1,4,7,9,10,11,13],[1,5,6,10,12,13,14],[1,6,7,8,9,11,13],[2,3,6,7,9,11,14],[2,3,8,9,10,13,14],[2,4,6,7,8,10,13],[2,4,6,9,11,12,14],[2,4,8,11,12,13,14],[2,5,6,7,9,10,12],[2,5,7,8,10,11,12],[3,4,5,6,8,11,13],[3,4,5,7,12,13,14],[3,4,7,9,10,12,13],[3,5,6,9,11,12,13],[3,5,7,8,10,11,14],[4,5,6,8,9,10,14]]; G[4216]:=Group([(1,11)(3,12)(5,14)(6,8)(7,13)]); # Design 4217: autom. group order 2, simple, residual B[4217]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,9,10,11,14],[1,3,7,8,10,12,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,7,11,13,14],[2,3,8,9,12,13,14],[2,4,6,7,10,12,14],[2,4,6,8,11,12,13],[2,4,8,9,10,11,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,9,11,14],[3,4,5,7,8,12,14],[3,4,7,9,11,12,13],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,8,10,13,14]]; G[4217]:=Group([(6,8)(7,9)(11,12)]); # Design 4218: autom. group order 2, simple, residual B[4218]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,9,10,11,14],[1,3,7,8,10,12,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,7,11,13,14],[2,3,8,9,12,13,14],[2,4,6,7,10,12,14],[2,4,6,8,11,12,13],[2,4,8,9,10,11,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,9,12,14],[3,4,5,7,8,11,14],[3,4,7,9,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,8,10,13,14]]; G[4218]:=Group([(6,8)(7,9)(11,12)]); # Design 4219: autom. group order 2, simple, residual B[4219]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,9,10,11,14],[1,3,7,8,10,12,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,7,12,13,14],[2,3,8,9,11,13,14],[2,4,6,7,10,11,14],[2,4,6,8,11,12,13],[2,4,8,9,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,9,11,14],[3,4,5,7,8,12,14],[3,4,7,9,11,12,13],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,8,10,13,14]]; G[4219]:=Group([(6,8)(7,9)(11,12)]); # Design 4220: autom. group order 2, simple, residual B[4220]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,9,10,11,14],[1,3,7,8,10,12,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,7,12,13,14],[2,3,8,9,11,13,14],[2,4,6,7,10,11,14],[2,4,6,8,11,12,13],[2,4,8,9,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,9,12,14],[3,4,5,7,8,11,14],[3,4,7,9,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,8,10,13,14]]; G[4220]:=Group([(6,8)(7,9)(11,12)]); # Design 4221: autom. group order 2, simple, residual B[4221]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,9,10,12,14],[1,3,7,8,10,11,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,7,11,13,14],[2,3,8,9,12,13,14],[2,4,6,7,10,12,14],[2,4,6,8,11,12,13],[2,4,8,9,10,11,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,9,11,14],[3,4,5,7,8,12,14],[3,4,7,9,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,8,10,13,14]]; G[4221]:=Group([(6,8)(7,9)(11,12)]); # Design 4222: autom. group order 2, simple, residual B[4222]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,9,10,12,14],[1,3,7,8,10,11,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,7,12,13,14],[2,3,8,9,11,13,14],[2,4,6,7,10,11,14],[2,4,6,8,11,12,13],[2,4,8,9,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,9,11,14],[3,4,5,7,8,12,14],[3,4,7,9,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,8,10,13,14]]; G[4222]:=Group([(6,8)(7,9)(11,12)]); # Design 4223: autom. group order 2, simple, residual B[4223]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,9,10,11,14],[1,3,7,8,10,12,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,7,11,13,14],[2,3,8,9,12,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,11,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,7,12,14],[3,4,5,8,9,11,14],[3,4,7,9,11,12,13],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,8,10,13,14]]; G[4223]:=Group([(6,8)(7,9)(11,12)]); # Design 4224: autom. group order 2, simple, residual B[4224]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,9,10,11,14],[1,3,7,8,10,12,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,7,11,13,14],[2,3,8,9,12,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,12,14],[2,4,7,8,10,11,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,7,12,14],[3,4,5,8,9,11,14],[3,4,7,9,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,8,10,13,14]]; G[4224]:=Group([(6,8)(7,9)(11,12)]); # Design 4225: autom. group order 2, simple, residual B[4225]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,9,10,11,14],[1,3,7,8,10,12,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,7,12,13,14],[2,3,8,9,11,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,11,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,7,11,14],[3,4,5,8,9,12,14],[3,4,7,9,11,12,13],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,8,10,13,14]]; G[4225]:=Group([(6,8)(7,9)(11,12)]); # Design 4226: autom. group order 2, simple, residual B[4226]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,9,10,11,14],[1,3,7,8,10,12,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,7,12,13,14],[2,3,8,9,11,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,12,14],[2,4,7,8,10,11,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,7,11,14],[3,4,5,8,9,12,14],[3,4,7,9,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,8,10,13,14]]; G[4226]:=Group([(6,8)(7,9)(11,12)]); # Design 4227: autom. group order 2, simple, residual B[4227]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,9,10,12,14],[1,3,7,8,10,11,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,7,11,13,14],[2,3,8,9,12,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,11,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,7,12,14],[3,4,5,8,9,11,14],[3,4,7,9,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,8,10,13,14]]; G[4227]:=Group([(6,8)(7,9)(11,12)]); # Design 4228: autom. group order 2, simple, residual B[4228]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,9,10,12,14],[1,3,7,8,10,11,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,7,12,13,14],[2,3,8,9,11,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,11,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,7,11,14],[3,4,5,8,9,12,14],[3,4,7,9,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,8,10,13,14]]; G[4228]:=Group([(6,8)(7,9)(11,12)]); # Design 4229: autom. group order 2, simple, residual B[4229]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,9,10,11,14],[1,3,7,8,10,12,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,7,11,13,14],[2,3,8,9,12,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,11,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,9,12,14],[3,4,5,7,8,11,14],[3,4,7,9,11,12,13],[3,5,6,7,10,12,13],[3,5,8,9,10,11,13],[4,5,6,8,10,13,14]]; G[4229]:=Group([(6,8)(7,9)(11,12)]); # Design 4230: autom. group order 2, simple, residual B[4230]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,9,10,11,14],[1,3,7,8,10,12,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,7,11,13,14],[2,3,8,9,12,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,12,14],[2,4,7,8,10,11,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,9,11,14],[3,4,5,7,8,12,14],[3,4,7,9,11,12,13],[3,5,6,7,10,12,13],[3,5,8,9,10,11,13],[4,5,6,8,10,13,14]]; G[4230]:=Group([(6,8)(7,9)(11,12)]); # Design 4231: autom. group order 2, simple, residual B[4231]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,9,10,11,14],[1,3,7,8,10,12,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,7,12,13,14],[2,3,8,9,11,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,11,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,9,12,14],[3,4,5,7,8,11,14],[3,4,7,9,11,12,13],[3,5,6,7,10,11,13],[3,5,8,9,10,12,13],[4,5,6,8,10,13,14]]; G[4231]:=Group([(6,8)(7,9)(11,12)]); # Design 4232: autom. group order 2, simple, residual B[4232]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,9,10,11,14],[1,3,7,8,10,12,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,7,12,13,14],[2,3,8,9,11,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,12,14],[2,4,7,8,10,11,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,9,11,14],[3,4,5,7,8,12,14],[3,4,7,9,11,12,13],[3,5,6,7,10,11,13],[3,5,8,9,10,12,13],[4,5,6,8,10,13,14]]; G[4232]:=Group([(6,8)(7,9)(11,12)]); # Design 4233: autom. group order 2, simple, residual B[4233]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,9,10,12,14],[1,3,7,8,10,11,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,7,11,13,14],[2,3,8,9,12,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,11,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,9,11,14],[3,4,5,7,8,12,14],[3,4,7,9,11,12,13],[3,5,6,7,10,12,13],[3,5,8,9,10,11,13],[4,5,6,8,10,13,14]]; G[4233]:=Group([(6,8)(7,9)(11,12)]); # Design 4234: autom. group order 2, simple, residual B[4234]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,9,10,12,14],[1,3,7,8,10,11,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,7,12,13,14],[2,3,8,9,11,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,11,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,9,11,14],[3,4,5,7,8,12,14],[3,4,7,9,11,12,13],[3,5,6,7,10,11,13],[3,5,8,9,10,12,13],[4,5,6,8,10,13,14]]; G[4234]:=Group([(6,8)(7,9)(11,12)]); # Design 4235: autom. group order 2, simple, residual B[4235]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,9,10,11,14],[1,3,7,8,10,12,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,6,7,10,11,14],[2,4,6,8,11,12,13],[2,4,8,9,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,7,12,14],[3,4,5,8,9,11,14],[3,4,7,9,11,12,13],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,8,10,13,14]]; G[4235]:=Group([(6,8)(7,9)(11,12)]); # Design 4236: autom. group order 2, simple, residual B[4236]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,9,10,11,14],[1,3,7,8,10,12,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,6,7,10,12,14],[2,4,6,8,11,12,13],[2,4,8,9,10,11,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,7,11,14],[3,4,5,8,9,12,14],[3,4,7,9,11,12,13],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,8,10,13,14]]; G[4236]:=Group([(6,8)(7,9)(11,12)]); # Design 4237: autom. group order 2, simple, residual B[4237]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,9,10,11,14],[1,3,7,8,10,12,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,6,7,10,11,14],[2,4,6,8,11,12,13],[2,4,8,9,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,7,12,14],[3,4,5,8,9,11,14],[3,4,7,9,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,8,10,13,14]]; G[4237]:=Group([(6,8)(7,9)(11,12)]); # Design 4238: autom. group order 2, simple, residual B[4238]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,9,10,11,14],[1,3,7,8,10,12,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,6,7,10,12,14],[2,4,6,8,11,12,13],[2,4,8,9,10,11,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,7,11,14],[3,4,5,8,9,12,14],[3,4,7,9,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,8,10,13,14]]; G[4238]:=Group([(6,8)(7,9)(11,12)]); # Design 4239: autom. group order 2, simple, residual B[4239]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,9,10,12,14],[1,3,7,8,10,11,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,6,7,10,11,14],[2,4,6,8,11,12,13],[2,4,8,9,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,7,12,14],[3,4,5,8,9,11,14],[3,4,7,9,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,8,10,13,14]]; G[4239]:=Group([(6,8)(7,9)(11,12)]); # Design 4240: autom. group order 2, simple, residual B[4240]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,9,10,12,14],[1,3,7,8,10,11,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,6,7,10,12,14],[2,4,6,8,11,12,13],[2,4,8,9,10,11,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,7,11,14],[3,4,5,8,9,12,14],[3,4,7,9,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,8,10,13,14]]; G[4240]:=Group([(6,8)(7,9)(11,12)]); # Design 4241: autom. group order 2, simple, residual B[4241]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,9,10,11,14],[1,3,7,8,10,12,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,6,7,10,11,14],[2,4,6,8,11,12,13],[2,4,8,9,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,9,12,14],[3,4,5,7,8,11,14],[3,4,7,9,11,12,13],[3,5,6,7,10,12,13],[3,5,8,9,10,11,13],[4,5,6,8,10,13,14]]; G[4241]:=Group([(6,8)(7,9)(11,12)]); # Design 4242: autom. group order 2, simple, residual B[4242]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,9,10,11,14],[1,3,7,8,10,12,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,6,7,10,12,14],[2,4,6,8,11,12,13],[2,4,8,9,10,11,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,9,12,14],[3,4,5,7,8,11,14],[3,4,7,9,11,12,13],[3,5,6,7,10,11,13],[3,5,8,9,10,12,13],[4,5,6,8,10,13,14]]; G[4242]:=Group([(6,8)(7,9)(11,12)]); # Design 4243: autom. group order 2, simple, residual B[4243]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,9,10,11,14],[1,3,7,8,10,12,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,6,7,10,11,14],[2,4,6,8,11,12,13],[2,4,8,9,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,9,11,14],[3,4,5,7,8,12,14],[3,4,7,9,11,12,13],[3,5,6,7,10,12,13],[3,5,8,9,10,11,13],[4,5,6,8,10,13,14]]; G[4243]:=Group([(6,8)(7,9)(11,12)]); # Design 4244: autom. group order 2, simple, residual B[4244]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,9,10,11,14],[1,3,7,8,10,12,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,6,7,10,12,14],[2,4,6,8,11,12,13],[2,4,8,9,10,11,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,9,11,14],[3,4,5,7,8,12,14],[3,4,7,9,11,12,13],[3,5,6,7,10,11,13],[3,5,8,9,10,12,13],[4,5,6,8,10,13,14]]; G[4244]:=Group([(6,8)(7,9)(11,12)]); # Design 4245: autom. group order 2, simple, residual B[4245]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,9,10,12,14],[1,3,7,8,10,11,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,6,7,10,11,14],[2,4,6,8,11,12,13],[2,4,8,9,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,9,11,14],[3,4,5,7,8,12,14],[3,4,7,9,11,12,13],[3,5,6,7,10,12,13],[3,5,8,9,10,11,13],[4,5,6,8,10,13,14]]; G[4245]:=Group([(6,8)(7,9)(11,12)]); # Design 4246: autom. group order 2, simple, residual B[4246]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,9,10,12,14],[1,3,7,8,10,11,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,6,7,10,12,14],[2,4,6,8,11,12,13],[2,4,8,9,10,11,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,9,11,14],[3,4,5,7,8,12,14],[3,4,7,9,11,12,13],[3,5,6,7,10,11,13],[3,5,8,9,10,12,13],[4,5,6,8,10,13,14]]; G[4246]:=Group([(6,8)(7,9)(11,12)]); # Design 4247: autom. group order 2, simple, residual B[4247]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,9,10,11,14],[1,3,7,8,10,12,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,12,14],[2,4,7,8,10,11,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,7,11,14],[3,4,5,8,9,12,14],[3,4,7,9,11,12,13],[3,5,6,7,10,12,13],[3,5,8,9,10,11,13],[4,5,6,8,10,13,14]]; G[4247]:=Group([(6,8)(7,9)(11,12)]); # Design 4248: autom. group order 2, simple, residual B[4248]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,9,10,11,14],[1,3,7,8,10,12,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,12,14],[2,4,7,8,10,11,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,7,12,14],[3,4,5,8,9,11,14],[3,4,7,9,11,12,13],[3,5,6,7,10,11,13],[3,5,8,9,10,12,13],[4,5,6,8,10,13,14]]; G[4248]:=Group([(6,8)(7,9)(11,12)]); # Design 4249: autom. group order 2, simple, residual B[4249]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,9,10,11,14],[1,3,7,8,10,12,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,11,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,7,11,14],[3,4,5,8,9,12,14],[3,4,7,9,11,12,13],[3,5,6,7,10,12,13],[3,5,8,9,10,11,13],[4,5,6,8,10,13,14]]; G[4249]:=Group([(6,8)(7,9)(11,12)]); # Design 4250: autom. group order 2, simple, residual B[4250]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,9,10,11,14],[1,3,7,8,10,12,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,11,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,7,12,14],[3,4,5,8,9,11,14],[3,4,7,9,11,12,13],[3,5,6,7,10,11,13],[3,5,8,9,10,12,13],[4,5,6,8,10,13,14]]; G[4250]:=Group([(6,8)(7,9)(11,12)]); # Design 4251: autom. group order 2, simple, residual B[4251]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,9,10,12,14],[1,3,7,8,10,11,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,11,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,7,11,14],[3,4,5,8,9,12,14],[3,4,7,9,11,12,13],[3,5,6,7,10,12,13],[3,5,8,9,10,11,13],[4,5,6,8,10,13,14]]; G[4251]:=Group([(6,8)(7,9)(11,12)]); # Design 4252: autom. group order 2, simple, residual B[4252]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,9,10,12,14],[1,3,7,8,10,11,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,11,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,7,12,14],[3,4,5,8,9,11,14],[3,4,7,9,11,12,13],[3,5,6,7,10,11,13],[3,5,8,9,10,12,13],[4,5,6,8,10,13,14]]; G[4252]:=Group([(6,8)(7,9)(11,12)]); # Design 4253: autom. group order 2, simple, residual B[4253]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,8,10,12,14],[1,3,6,9,10,11,12],[1,3,7,9,12,13,14],[1,4,5,9,11,13,14],[1,4,6,7,8,9,12],[1,4,8,9,10,13,14],[1,5,6,7,11,12,13],[1,6,7,8,10,11,14],[2,3,6,8,9,11,13],[2,3,7,8,12,13,14],[2,4,6,7,9,10,13],[2,4,6,8,11,12,14],[2,4,7,9,11,12,14],[2,5,6,7,9,10,14],[2,5,9,10,11,12,13],[3,4,5,6,12,13,14],[3,4,5,7,10,11,14],[3,4,7,8,10,11,13],[3,5,6,8,9,11,14],[3,5,7,8,9,10,12],[4,5,6,8,10,12,13]]; G[4253]:=Group([(1,12)(3,11)(5,14)(6,9)]); # Design 4254: autom. group order 2, simple B[4254]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,8,10,12,14],[1,3,6,8,9,11,12],[1,3,7,9,12,13,14],[1,4,5,9,11,13,14],[1,4,6,7,9,10,12],[1,4,8,9,10,13,14],[1,5,6,7,11,12,13],[1,6,7,8,10,11,14],[2,3,6,9,10,11,13],[2,3,7,8,12,13,14],[2,4,6,7,8,9,13],[2,4,6,8,11,12,14],[2,4,7,9,11,12,14],[2,5,6,7,9,10,14],[2,5,9,10,11,12,13],[3,4,5,6,12,13,14],[3,4,5,7,10,11,14],[3,4,7,8,10,11,13],[3,5,6,8,9,11,14],[3,5,7,8,9,10,12],[4,5,6,8,10,12,13]]; G[4254]:=Group([(1,12)(3,11)(5,14)(6,9)]); # Design 4255: autom. group order 2, simple, residual B[4255]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,8,10,12,14],[1,3,6,8,9,11,12],[1,3,7,9,12,13,14],[1,4,5,9,11,13,14],[1,4,6,7,10,11,14],[1,4,8,9,10,13,14],[1,5,6,7,11,12,13],[1,6,7,8,9,10,12],[2,3,6,9,10,11,13],[2,3,7,8,12,13,14],[2,4,6,7,8,9,13],[2,4,6,8,11,12,14],[2,4,7,9,11,12,14],[2,5,6,7,9,10,14],[2,5,9,10,11,12,13],[3,4,5,6,12,13,14],[3,4,5,7,9,10,12],[3,4,7,8,10,11,13],[3,5,6,8,9,11,14],[3,5,7,8,10,11,14],[4,5,6,8,10,12,13]]; G[4255]:=Group([(1,12)(3,11)(5,14)(6,9)]); # Design 4256: autom. group order 2, simple, residual B[4256]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,9,11,12,14],[1,3,6,9,10,11,13],[1,3,7,8,9,12,14],[1,4,5,9,10,13,14],[1,4,6,7,12,13,14],[1,4,8,11,12,13,14],[1,5,6,7,8,10,12],[1,6,7,8,9,10,11],[2,3,6,8,9,12,14],[2,3,7,8,10,13,14],[2,4,6,7,9,12,13],[2,4,6,8,10,11,12],[2,4,7,9,10,11,14],[2,5,6,8,11,13,14],[2,5,7,9,10,12,13],[3,4,5,6,7,11,14],[3,4,5,8,10,12,13],[3,4,7,8,9,11,13],[3,5,6,9,11,12,13],[3,5,7,10,11,12,14],[4,5,6,8,9,10,14]]; G[4256]:=Group([(2,14)(3,13)(5,12)(9,11)]); # Design 4257: autom. group order 2, simple, residual B[4257]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,9,11,12,14],[1,3,6,9,10,11,13],[1,3,7,8,9,12,14],[1,4,5,9,10,13,14],[1,4,6,7,12,13,14],[1,4,8,11,12,13,14],[1,5,6,7,8,10,12],[1,6,7,8,9,10,11],[2,3,6,8,11,12,14],[2,3,7,8,10,13,14],[2,4,6,7,9,12,13],[2,4,6,8,9,10,12],[2,4,7,9,10,11,14],[2,5,6,8,9,13,14],[2,5,7,10,11,12,13],[3,4,5,6,7,11,14],[3,4,5,8,10,12,13],[3,4,7,8,9,11,13],[3,5,6,9,11,12,13],[3,5,7,9,10,12,14],[4,5,6,8,10,11,14]]; G[4257]:=Group([(2,14)(3,13)(5,12)(9,11)]); # Design 4258: autom. group order 2, simple B[4258]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,9,12,13],[1,3,6,8,9,13,14],[1,3,7,8,10,11,12],[1,4,5,8,10,11,14],[1,4,6,7,9,10,14],[1,4,9,11,12,13,14],[1,5,6,7,10,12,13],[1,6,7,8,9,11,12],[2,3,6,9,11,12,14],[2,3,7,9,10,11,13],[2,4,6,7,8,12,13],[2,4,6,8,10,12,14],[2,4,7,8,11,13,14],[2,5,6,8,9,10,11],[2,5,7,9,10,12,14],[3,4,5,6,11,12,13],[3,4,5,7,9,12,14],[3,4,7,8,9,10,13],[3,5,6,7,8,11,14],[3,5,8,10,12,13,14],[4,5,6,9,10,11,13]]; G[4258]:=Group([(1,5)(3,9)(4,8)(6,12)(7,13)]); # Design 4259: autom. group order 2, simple B[4259]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,9,12,13],[1,3,6,8,9,13,14],[1,3,7,8,10,12,14],[1,4,5,8,10,11,14],[1,4,6,7,9,10,11],[1,4,9,11,12,13,14],[1,5,6,7,10,12,13],[1,6,7,8,9,11,12],[2,3,6,9,11,12,14],[2,3,7,9,10,11,13],[2,4,6,7,8,12,13],[2,4,6,8,10,12,14],[2,4,7,8,11,13,14],[2,5,6,8,9,10,11],[2,5,7,9,10,12,14],[3,4,5,6,11,12,13],[3,4,5,7,9,12,14],[3,4,7,8,9,10,13],[3,5,6,7,8,11,14],[3,5,8,10,11,12,13],[4,5,6,9,10,13,14]]; G[4259]:=Group([(1,5)(3,9)(4,8)(6,12)(7,13)]); # Design 4260: autom. group order 2, simple B[4260]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,9,12,13],[1,3,6,8,9,13,14],[1,3,7,8,10,11,12],[1,4,5,8,10,11,14],[1,4,6,7,9,10,14],[1,4,9,11,12,13,14],[1,5,6,7,11,12,13],[1,6,7,8,9,10,12],[2,3,6,9,11,12,14],[2,3,7,9,10,11,13],[2,4,6,7,8,12,13],[2,4,6,8,11,12,14],[2,4,7,8,10,13,14],[2,5,6,8,9,10,11],[2,5,7,9,10,12,14],[3,4,5,6,10,12,13],[3,4,5,7,9,12,14],[3,4,7,8,9,11,13],[3,5,6,7,8,11,14],[3,5,8,10,12,13,14],[4,5,6,9,10,11,13]]; G[4260]:=Group([(1,5)(3,9)(4,8)(6,12)(7,13)]); # Design 4261: autom. group order 2, simple B[4261]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,9,12,13],[1,3,6,8,9,13,14],[1,3,7,8,10,12,14],[1,4,5,8,10,11,14],[1,4,6,7,9,10,11],[1,4,9,11,12,13,14],[1,5,6,7,11,12,13],[1,6,7,8,9,10,12],[2,3,6,9,11,12,14],[2,3,7,9,10,11,13],[2,4,6,7,8,12,13],[2,4,6,8,11,12,14],[2,4,7,8,10,13,14],[2,5,6,8,9,10,11],[2,5,7,9,10,12,14],[3,4,5,6,10,12,13],[3,4,5,7,9,12,14],[3,4,7,8,9,11,13],[3,5,6,7,8,11,14],[3,5,8,10,11,12,13],[4,5,6,9,10,13,14]]; G[4261]:=Group([(1,5)(3,9)(4,8)(6,12)(7,13)]); # Design 4262: autom. group order 2, simple B[4262]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,9,12,13],[1,3,6,8,9,13,14],[1,3,7,8,10,12,14],[1,4,5,8,10,11,14],[1,4,6,7,9,11,14],[1,4,9,10,11,12,13],[1,5,6,7,10,12,13],[1,6,7,8,9,11,12],[2,3,6,9,11,12,14],[2,3,7,9,10,11,13],[2,4,6,7,8,12,13],[2,4,6,8,10,12,14],[2,4,7,8,11,13,14],[2,5,6,8,9,10,11],[2,5,7,9,10,12,14],[3,4,5,6,11,12,13],[3,4,5,7,9,12,14],[3,4,7,8,9,10,13],[3,5,6,7,8,10,11],[3,5,8,11,12,13,14],[4,5,6,9,10,13,14]]; G[4262]:=Group([(1,5)(3,9)(4,8)(6,12)(7,13)]); # Design 4263: autom. group order 2, simple B[4263]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,9,12,13],[1,3,6,8,9,13,14],[1,3,7,8,10,11,12],[1,4,5,8,10,11,14],[1,4,6,7,9,11,14],[1,4,9,10,12,13,14],[1,5,6,7,11,12,13],[1,6,7,8,9,10,12],[2,3,6,9,11,12,14],[2,3,7,9,10,11,13],[2,4,6,7,8,12,13],[2,4,6,8,11,12,14],[2,4,7,8,10,13,14],[2,5,6,8,9,10,11],[2,5,7,9,10,12,14],[3,4,5,6,10,12,13],[3,4,5,7,9,12,14],[3,4,7,8,9,11,13],[3,5,6,7,8,10,14],[3,5,8,11,12,13,14],[4,5,6,9,10,11,13]]; G[4263]:=Group([(1,5)(3,9)(4,8)(6,12)(7,13)]); # Design 4264: autom. group order 2, simple B[4264]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,9,12,13],[1,3,6,8,9,13,14],[1,3,7,8,10,12,14],[1,4,5,8,10,11,14],[1,4,6,7,9,11,14],[1,4,9,10,11,12,13],[1,5,6,7,11,12,13],[1,6,7,8,9,10,12],[2,3,6,9,11,12,14],[2,3,7,9,10,11,13],[2,4,6,7,8,12,13],[2,4,6,8,11,12,14],[2,4,7,8,10,13,14],[2,5,6,8,9,10,11],[2,5,7,9,10,12,14],[3,4,5,6,10,12,13],[3,4,5,7,9,12,14],[3,4,7,8,9,11,13],[3,5,6,7,8,10,11],[3,5,8,11,12,13,14],[4,5,6,9,10,13,14]]; G[4264]:=Group([(1,5)(3,9)(4,8)(6,12)(7,13)]); # Design 4265: autom. group order 2, simple B[4265]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,9,12,13],[1,3,6,8,9,13,14],[1,3,7,8,11,12,14],[1,4,5,8,10,11,14],[1,4,6,7,9,10,14],[1,4,9,10,11,12,13],[1,5,6,7,10,12,13],[1,6,7,8,9,11,12],[2,3,6,9,11,12,14],[2,3,7,9,10,11,13],[2,4,6,7,8,12,13],[2,4,6,8,10,12,14],[2,4,7,8,11,13,14],[2,5,6,8,9,10,11],[2,5,7,9,10,12,14],[3,4,5,6,11,12,13],[3,4,5,7,9,12,14],[3,4,7,8,9,10,13],[3,5,6,7,8,10,11],[3,5,8,10,12,13,14],[4,5,6,9,11,13,14]]; G[4265]:=Group([(1,5)(3,9)(4,8)(6,12)(7,13)]); # Design 4266: autom. group order 2, simple B[4266]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,9,12,13],[1,3,6,8,9,13,14],[1,3,7,8,11,12,14],[1,4,5,8,10,11,14],[1,4,6,7,9,10,11],[1,4,9,10,12,13,14],[1,5,6,7,11,12,13],[1,6,7,8,9,10,12],[2,3,6,9,11,12,14],[2,3,7,9,10,11,13],[2,4,6,7,8,12,13],[2,4,6,8,11,12,14],[2,4,7,8,10,13,14],[2,5,6,8,9,10,11],[2,5,7,9,10,12,14],[3,4,5,6,10,12,13],[3,4,5,7,9,12,14],[3,4,7,8,9,11,13],[3,5,6,7,8,10,14],[3,5,8,10,11,12,13],[4,5,6,9,11,13,14]]; G[4266]:=Group([(1,5)(3,9)(4,8)(6,12)(7,13)]); # Design 4267: autom. group order 2, simple B[4267]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,9,12,13],[1,3,6,8,9,13,14],[1,3,7,8,11,12,14],[1,4,5,8,10,11,14],[1,4,6,7,9,10,14],[1,4,9,10,11,12,13],[1,5,6,7,11,12,13],[1,6,7,8,9,10,12],[2,3,6,9,11,12,14],[2,3,7,9,10,11,13],[2,4,6,7,8,12,13],[2,4,6,8,11,12,14],[2,4,7,8,10,13,14],[2,5,6,8,9,10,11],[2,5,7,9,10,12,14],[3,4,5,6,10,12,13],[3,4,5,7,9,12,14],[3,4,7,8,9,11,13],[3,5,6,7,8,10,11],[3,5,8,10,12,13,14],[4,5,6,9,11,13,14]]; G[4267]:=Group([(1,5)(3,9)(4,8)(6,12)(7,13)]); # Design 4268: autom. group order 2, simple B[4268]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,9,12,13,14],[1,3,6,8,10,11,12],[1,3,8,9,11,13,14],[1,4,5,9,10,12,14],[1,4,6,7,9,11,13],[1,4,7,10,11,13,14],[1,5,6,7,8,12,14],[1,6,7,8,9,10,12],[2,3,6,7,12,13,14],[2,3,7,8,9,10,14],[2,4,6,8,9,10,13],[2,4,6,9,11,12,14],[2,4,7,8,11,12,14],[2,5,6,7,9,10,11],[2,5,8,10,11,12,13],[3,4,5,6,8,11,14],[3,4,5,7,10,12,13],[3,4,7,8,9,12,13],[3,5,6,9,11,12,13],[3,5,7,9,10,11,14],[4,5,6,8,10,13,14]]; G[4268]:=Group([(1,12)(3,11)(5,14)(6,8)]); # Design 4269: autom. group order 2, simple B[4269]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,5,10,12,13,14],[1,3,6,8,11,13,14],[1,3,7,8,9,12,13],[1,4,5,7,11,12,14],[1,4,6,7,8,10,12],[1,4,7,9,11,13,14],[1,5,6,7,9,10,14],[1,6,8,9,10,11,12],[2,3,6,7,9,10,11],[2,3,7,8,11,12,14],[2,4,6,8,9,12,14],[2,4,6,9,12,13,14],[2,4,7,9,10,11,13],[2,5,6,7,8,11,14],[2,5,7,8,10,12,13],[3,4,5,6,11,12,13],[3,4,5,8,9,10,14],[3,4,7,8,10,13,14],[3,5,6,7,9,12,13],[3,5,9,10,11,12,14],[4,5,6,8,10,11,13]]; G[4269]:=Group([(1,10)(2,14)(3,5)(4,9)(6,12)(7,11)]); # Design 4270: autom. group order 2, simple B[4270]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,13,14],[1,2,5,11,12,13,14],[1,3,6,9,11,12,14],[1,3,7,8,11,13,14],[1,4,5,7,9,11,12],[1,4,6,7,10,11,13],[1,4,7,8,9,10,14],[1,5,6,8,10,12,14],[1,6,7,8,9,12,13],[2,3,6,7,9,12,14],[2,3,7,9,10,12,13],[2,4,6,8,9,11,14],[2,4,6,8,11,12,13],[2,4,7,8,10,12,14],[2,5,6,7,10,11,14],[2,5,7,8,9,11,13],[3,4,5,6,7,13,14],[3,4,5,8,12,13,14],[3,4,9,10,11,13,14],[3,5,6,8,9,10,11],[3,5,7,8,10,11,12],[4,5,6,9,10,12,13]]; G[4270]:=Group([(1,13)(2,14)(6,7)(9,12)(10,11)]); # Design 4271: autom. group order 2, simple B[4271]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,5,10,12,13,14],[1,3,6,9,10,12,14],[1,3,7,8,11,13,14],[1,4,5,7,9,11,12],[1,4,6,7,10,11,13],[1,4,7,8,9,10,14],[1,5,6,8,11,12,14],[1,6,7,8,9,12,13],[2,3,6,7,9,12,14],[2,3,7,9,11,12,13],[2,4,6,8,9,11,14],[2,4,6,8,11,12,13],[2,4,7,8,10,12,14],[2,5,6,7,10,11,14],[2,5,7,8,9,10,13],[3,4,5,6,7,13,14],[3,4,5,8,12,13,14],[3,4,9,10,11,13,14],[3,5,6,8,9,10,11],[3,5,7,8,10,11,12],[4,5,6,9,10,12,13]]; G[4271]:=Group([(1,13)(2,14)(6,7)(9,12)(10,11)]); # Design 4272: autom. group order 2, simple B[4272]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,13,14],[1,2,5,11,12,13,14],[1,3,6,9,10,11,14],[1,3,7,8,12,13,14],[1,4,5,7,9,11,12],[1,4,6,7,10,12,13],[1,4,7,8,10,11,14],[1,5,6,8,9,12,14],[1,6,7,8,9,11,13],[2,3,6,7,9,11,14],[2,3,7,9,11,12,13],[2,4,6,8,9,12,13],[2,4,6,8,11,12,14],[2,4,7,8,9,10,14],[2,5,6,7,10,12,14],[2,5,7,8,10,11,13],[3,4,5,6,7,13,14],[3,4,5,8,11,13,14],[3,4,9,10,12,13,14],[3,5,6,8,10,11,12],[3,5,7,8,9,10,12],[4,5,6,9,10,11,13]]; G[4272]:=Group([(1,13)(2,14)(6,7)(9,11)(10,12)]); # Design 4273: autom. group order 2, simple B[4273]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,5,10,12,13,14],[1,3,6,9,11,12,14],[1,3,7,8,11,13,14],[1,4,5,7,9,11,12],[1,4,6,7,10,11,13],[1,4,7,8,10,12,14],[1,5,6,8,9,10,14],[1,6,7,8,9,12,13],[2,3,6,7,9,12,14],[2,3,7,9,10,12,13],[2,4,6,8,9,11,13],[2,4,6,8,11,12,14],[2,4,7,8,9,10,14],[2,5,6,7,10,11,14],[2,5,7,8,11,12,13],[3,4,5,6,7,13,14],[3,4,5,8,12,13,14],[3,4,9,10,11,13,14],[3,5,6,8,10,11,12],[3,5,7,8,9,10,11],[4,5,6,9,10,12,13]]; G[4273]:=Group([(1,13)(2,14)(6,7)(9,12)(10,11)]); # Design 4274: autom. group order 2, simple B[4274]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,5,10,12,13,14],[1,3,6,8,11,13,14],[1,3,7,8,9,12,13],[1,4,5,7,11,12,14],[1,4,6,8,10,11,12],[1,4,7,9,11,13,14],[1,5,6,7,9,10,14],[1,6,7,8,9,10,12],[2,3,6,7,9,10,11],[2,3,7,8,11,12,14],[2,4,6,8,9,12,14],[2,4,6,9,12,13,14],[2,4,7,9,10,11,13],[2,5,6,7,8,11,14],[2,5,7,8,10,12,13],[3,4,5,6,7,12,13],[3,4,5,8,9,10,14],[3,4,7,8,10,13,14],[3,5,6,9,11,12,13],[3,5,9,10,11,12,14],[4,5,6,8,10,11,13]]; G[4274]:=Group([(1,10)(2,14)(3,5)(4,9)(6,12)(7,11)]); # Design 4275: autom. group order 2, simple, residual B[4275]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,5,8,10,13,14],[1,3,6,7,11,12,14],[1,3,7,8,9,12,13],[1,4,5,9,11,12,14],[1,4,6,7,8,10,14],[1,4,8,9,10,11,13],[1,5,6,9,11,13,14],[1,6,7,8,9,10,12],[2,3,7,9,10,13,14],[2,3,8,9,11,12,14],[2,4,6,7,9,11,13],[2,4,6,8,12,13,14],[2,4,6,9,10,12,14],[2,5,6,7,8,9,11],[2,5,7,8,10,11,12],[3,4,5,6,8,12,13],[3,4,5,7,9,10,14],[3,4,7,8,11,13,14],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13],[4,5,7,10,11,12,13]]; G[4275]:=Group([(2,5)(3,14)(4,13)(6,12)(9,10)]); # Design 4276: autom. group order 2, simple, residual B[4276]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,9,12,13,14],[1,3,6,7,10,11,14],[1,3,7,9,11,12,13],[1,4,5,10,11,12,14],[1,4,6,7,8,9,14],[1,4,8,9,10,12,13],[1,5,6,8,10,13,14],[1,6,7,8,9,11,12],[2,3,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,6,7,10,12,13],[2,4,6,8,11,12,14],[2,4,6,9,11,13,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,9,11,13],[3,4,5,7,8,12,14],[3,4,7,9,10,13,14],[3,5,6,8,11,12,13],[3,5,6,9,10,12,14],[4,5,7,8,10,11,13]]; G[4276]:=Group([(2,5)(3,14)(4,13)(6,11)(8,12)]); # Design 4277: autom. group order 2, simple B[4277]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,5,11,12,13,14],[1,3,6,9,11,13,14],[1,3,7,9,10,12,14],[1,4,5,7,9,11,12],[1,4,6,7,8,11,14],[1,4,8,9,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,12,13],[2,3,7,8,9,12,14],[2,3,7,8,11,12,13],[2,4,6,7,9,10,14],[2,4,6,8,11,12,14],[2,4,6,9,10,12,13],[2,5,6,7,9,11,13],[2,5,8,9,10,11,14],[3,4,5,6,12,13,14],[3,4,5,8,9,13,14],[3,4,7,10,11,13,14],[3,5,6,7,8,10,11],[3,5,6,9,10,11,12],[4,5,7,8,10,12,13]]; G[4277]:=Group([(1,13)(2,14)(7,12)(8,9)(10,11)]); # Design 4278: autom. group order 2, simple B[4278]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,10,12,13,14],[1,3,6,9,11,13,14],[1,3,7,9,10,12,14],[1,4,5,7,9,11,12],[1,4,6,7,8,10,14],[1,4,8,9,10,11,13],[1,5,6,8,11,12,14],[1,6,7,8,9,12,13],[2,3,7,8,9,12,14],[2,3,7,8,11,12,13],[2,4,6,7,8,11,14],[2,4,6,9,10,12,14],[2,4,6,9,11,12,13],[2,5,6,7,9,10,13],[2,5,8,9,10,11,14],[3,4,5,6,12,13,14],[3,4,5,8,9,13,14],[3,4,7,10,11,13,14],[3,5,6,7,9,10,11],[3,5,6,8,10,11,12],[4,5,7,8,10,12,13]]; G[4278]:=Group([(1,13)(2,14)(7,12)(8,9)(10,11)]); # Design 4279: autom. group order 2, simple B[4279]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,5,11,12,13,14],[1,3,6,9,11,13,14],[1,3,7,9,10,12,14],[1,4,5,7,9,11,12],[1,4,6,8,10,12,14],[1,4,8,9,10,11,13],[1,5,6,7,8,11,14],[1,6,7,8,9,12,13],[2,3,7,8,9,12,14],[2,3,7,8,11,12,13],[2,4,6,7,9,10,14],[2,4,6,7,9,11,13],[2,4,6,8,11,12,14],[2,5,6,9,10,12,13],[2,5,8,9,10,11,14],[3,4,5,6,12,13,14],[3,4,5,8,9,13,14],[3,4,7,10,11,13,14],[3,5,6,7,8,10,11],[3,5,6,9,10,11,12],[4,5,7,8,10,12,13]]; G[4279]:=Group([(1,13)(2,14)(7,12)(8,9)(10,11)]); # Design 4280: autom. group order 2, simple B[4280]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,5,10,12,13,14],[1,3,6,9,11,13,14],[1,3,7,9,10,12,14],[1,4,5,7,9,11,12],[1,4,6,8,11,12,14],[1,4,8,9,10,11,13],[1,5,6,7,8,10,14],[1,6,7,8,9,12,13],[2,3,7,8,9,12,14],[2,3,7,8,11,12,13],[2,4,6,7,8,11,14],[2,4,6,7,9,10,13],[2,4,6,9,10,12,14],[2,5,6,9,11,12,13],[2,5,8,9,10,11,14],[3,4,5,6,12,13,14],[3,4,5,8,9,13,14],[3,4,7,10,11,13,14],[3,5,6,7,9,10,11],[3,5,6,8,10,11,12],[4,5,7,8,10,12,13]]; G[4280]:=Group([(1,13)(2,14)(7,12)(8,9)(10,11)]); # Design 4281: autom. group order 2, simple B[4281]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,5,9,10,12,14],[1,3,6,7,9,11,14],[1,3,7,9,11,12,13],[1,4,5,8,11,13,14],[1,4,6,11,12,13,14],[1,4,7,8,10,12,14],[1,5,6,8,9,10,13],[1,6,7,8,9,10,12],[2,3,7,8,10,11,14],[2,3,8,9,12,13,14],[2,4,6,8,9,11,12],[2,4,6,9,10,11,13],[2,4,7,9,10,13,14],[2,5,6,7,8,11,12],[2,5,6,7,12,13,14],[3,4,5,6,10,12,14],[3,4,5,7,9,12,13],[3,4,6,7,8,10,13],[3,5,6,9,10,11,14],[3,5,8,10,11,12,13],[4,5,7,8,9,11,14]]; G[4281]:=Group([(1,8)(2,3)(4,14)(5,13)(6,9)(7,12)]); # Design 4282: autom. group order 2, simple, residual B[4282]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,9,12,13,14],[1,3,6,8,9,12,14],[1,3,7,8,10,11,12],[1,4,5,9,10,11,14],[1,4,6,7,9,11,14],[1,4,7,8,10,13,14],[1,5,6,8,11,12,13],[1,6,7,9,10,12,13],[2,3,7,8,9,12,14],[2,3,7,9,10,11,13],[2,4,6,7,11,12,14],[2,4,6,8,9,10,13],[2,4,8,11,12,13,14],[2,5,6,7,8,10,14],[2,5,6,9,10,11,12],[3,4,5,6,7,12,13],[3,4,5,10,12,13,14],[3,4,6,8,9,11,13],[3,5,6,8,10,11,14],[3,5,7,9,11,13,14],[4,5,7,8,9,10,12]]; G[4282]:=Group([(1,12)(3,11)(5,14)(9,13)]); # Design 4283: autom. group order 2, simple, residual B[4283]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,9,12,13,14],[1,3,6,8,12,13,14],[1,3,7,8,10,11,12],[1,4,5,10,11,13,14],[1,4,6,7,9,11,14],[1,4,7,8,9,10,14],[1,5,6,8,9,11,12],[1,6,7,9,10,12,13],[2,3,7,8,9,12,14],[2,3,7,9,10,11,13],[2,4,6,7,11,12,14],[2,4,6,8,9,10,13],[2,4,8,11,12,13,14],[2,5,6,7,8,10,14],[2,5,6,9,10,11,12],[3,4,5,6,7,12,13],[3,4,5,9,10,12,14],[3,4,6,8,9,11,13],[3,5,6,8,10,11,14],[3,5,7,9,11,13,14],[4,5,7,8,10,12,13]]; G[4283]:=Group([(1,12)(3,11)(5,14)(9,13)]); # Design 4284: autom. group order 2, simple, residual B[4284]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,5,8,9,11,14],[1,3,7,8,9,10,13],[1,3,8,10,11,12,14],[1,4,5,6,12,13,14],[1,4,6,7,9,10,14],[1,4,6,8,9,11,13],[1,5,7,9,10,12,13],[1,6,7,8,11,12,14],[2,3,6,7,8,11,13],[2,3,6,7,9,12,14],[2,4,6,8,10,12,13],[2,4,7,9,10,11,14],[2,4,8,9,12,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,13,14],[3,4,5,7,8,12,14],[3,4,5,10,11,13,14],[3,4,7,9,11,12,13],[3,5,6,8,9,10,12],[3,5,6,9,11,13,14],[4,5,6,7,8,10,11]]; G[4284]:=Group([(2,11)(3,8)(4,14)(5,12)(9,10)]); # Design 4285: autom. group order 2, simple, residual B[4285]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,5,8,9,11,14],[1,3,7,8,9,10,13],[1,3,8,10,11,12,14],[1,4,5,6,12,13,14],[1,4,6,7,9,10,14],[1,4,6,8,9,11,13],[1,5,7,9,10,12,13],[1,6,7,8,11,12,14],[2,3,6,7,8,11,13],[2,3,6,7,9,12,14],[2,4,6,8,10,12,13],[2,4,7,8,9,12,14],[2,4,9,10,11,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,13,14],[3,4,5,7,10,11,14],[3,4,5,8,12,13,14],[3,4,7,9,11,12,13],[3,5,6,8,9,10,12],[3,5,6,9,11,13,14],[4,5,6,7,8,10,11]]; G[4285]:=Group([(2,11)(3,8)(4,14)(5,12)(9,10)]); # Design 4286: autom. group order 2, simple, residual B[4286]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,5,8,9,11,14],[1,3,7,8,9,10,13],[1,3,8,10,11,12,14],[1,4,5,6,12,13,14],[1,4,6,7,9,10,14],[1,4,6,8,9,11,13],[1,5,7,9,10,12,13],[1,6,7,8,11,12,14],[2,3,6,7,8,11,13],[2,3,6,9,12,13,14],[2,4,6,7,8,10,12],[2,4,7,9,10,11,14],[2,4,8,9,12,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,13,14],[3,4,5,7,8,12,14],[3,4,5,10,11,13,14],[3,4,7,9,11,12,13],[3,5,6,7,9,11,14],[3,5,6,8,9,10,12],[4,5,6,8,10,11,13]]; G[4286]:=Group([(2,11)(3,8)(4,14)(5,12)(9,10)]); # Design 4287: autom. group order 2, simple, residual B[4287]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,5,8,9,11,14],[1,3,7,8,9,10,13],[1,3,8,10,11,12,14],[1,4,5,6,12,13,14],[1,4,6,7,9,10,14],[1,4,6,8,9,11,13],[1,5,7,9,10,12,13],[1,6,7,8,11,12,14],[2,3,6,7,8,11,13],[2,3,6,9,12,13,14],[2,4,6,7,8,10,12],[2,4,7,8,9,12,14],[2,4,9,10,11,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,13,14],[3,4,5,7,10,11,14],[3,4,5,8,12,13,14],[3,4,7,9,11,12,13],[3,5,6,7,9,11,14],[3,5,6,8,9,10,12],[4,5,6,8,10,11,13]]; G[4287]:=Group([(2,11)(3,8)(4,14)(5,12)(9,10)]); # Design 4288: autom. group order 2, simple, residual B[4288]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,5,8,9,11,14],[1,3,7,8,9,10,13],[1,3,8,10,11,12,14],[1,4,5,6,12,13,14],[1,4,6,7,9,10,14],[1,4,6,8,9,11,13],[1,5,7,9,10,12,13],[1,6,7,8,11,12,14],[2,3,6,7,8,11,13],[2,3,6,7,9,12,14],[2,4,7,8,10,12,13],[2,4,7,9,10,11,14],[2,4,8,9,12,13,14],[2,5,6,8,10,13,14],[2,5,6,9,10,11,12],[3,4,5,7,8,12,14],[3,4,5,10,11,13,14],[3,4,6,9,11,12,13],[3,5,6,8,9,10,12],[3,5,7,9,11,13,14],[4,5,6,7,8,10,11]]; G[4288]:=Group([(2,11)(3,8)(4,14)(5,12)(9,10)]); # Design 4289: autom. group order 2, simple, residual B[4289]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,5,8,9,11,14],[1,3,7,8,9,10,13],[1,3,8,10,11,12,14],[1,4,5,6,12,13,14],[1,4,6,7,9,10,14],[1,4,6,8,9,11,13],[1,5,7,9,10,12,13],[1,6,7,8,11,12,14],[2,3,6,7,8,11,13],[2,3,6,7,9,12,14],[2,4,7,8,9,12,14],[2,4,7,8,10,12,13],[2,4,9,10,11,13,14],[2,5,6,8,10,13,14],[2,5,6,9,10,11,12],[3,4,5,7,10,11,14],[3,4,5,8,12,13,14],[3,4,6,9,11,12,13],[3,5,6,8,9,10,12],[3,5,7,9,11,13,14],[4,5,6,7,8,10,11]]; G[4289]:=Group([(2,11)(3,8)(4,14)(5,12)(9,10)]); # Design 4290: autom. group order 2, simple, residual B[4290]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,5,8,9,11,14],[1,3,7,8,9,10,13],[1,3,8,10,11,12,14],[1,4,5,6,12,13,14],[1,4,6,7,9,10,14],[1,4,6,8,9,11,13],[1,5,7,9,10,12,13],[1,6,7,8,11,12,14],[2,3,6,7,8,11,13],[2,3,6,9,12,13,14],[2,4,7,8,10,12,13],[2,4,7,9,10,11,14],[2,4,8,9,12,13,14],[2,5,6,7,8,10,14],[2,5,6,9,10,11,12],[3,4,5,7,8,12,14],[3,4,5,10,11,13,14],[3,4,6,7,9,11,12],[3,5,6,8,9,10,12],[3,5,7,9,11,13,14],[4,5,6,8,10,11,13]]; G[4290]:=Group([(2,11)(3,8)(4,14)(5,12)(9,10)]); # Design 4291: autom. group order 2, simple, residual B[4291]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,5,8,9,11,14],[1,3,7,8,9,10,13],[1,3,8,10,11,12,14],[1,4,5,6,12,13,14],[1,4,6,7,9,10,14],[1,4,6,8,9,11,13],[1,5,7,9,10,12,13],[1,6,7,8,11,12,14],[2,3,6,7,8,11,13],[2,3,6,9,12,13,14],[2,4,7,8,9,12,14],[2,4,7,8,10,12,13],[2,4,9,10,11,13,14],[2,5,6,7,8,10,14],[2,5,6,9,10,11,12],[3,4,5,7,10,11,14],[3,4,5,8,12,13,14],[3,4,6,7,9,11,12],[3,5,6,8,9,10,12],[3,5,7,9,11,13,14],[4,5,6,8,10,11,13]]; G[4291]:=Group([(2,11)(3,8)(4,14)(5,12)(9,10)]); # Design 4292: autom. group order 2, simple, residual B[4292]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,5,8,9,11,14],[1,3,7,8,9,10,13],[1,3,8,10,11,12,14],[1,4,5,6,12,13,14],[1,4,6,7,9,10,14],[1,4,6,8,9,11,13],[1,5,7,9,10,12,13],[1,6,7,8,11,12,14],[2,3,6,7,8,11,13],[2,3,7,9,12,13,14],[2,4,6,7,8,10,12],[2,4,7,9,10,11,14],[2,4,8,9,12,13,14],[2,5,6,8,10,13,14],[2,5,6,9,10,11,12],[3,4,5,7,8,12,14],[3,4,5,10,11,13,14],[3,4,6,9,11,12,13],[3,5,6,7,9,11,14],[3,5,6,8,9,10,12],[4,5,7,8,10,11,13]]; G[4292]:=Group([(2,11)(3,8)(4,14)(5,12)(9,10)]); # Design 4293: autom. group order 2, simple, residual B[4293]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,5,8,9,11,14],[1,3,7,8,9,10,13],[1,3,8,10,11,12,14],[1,4,5,6,12,13,14],[1,4,6,7,9,10,14],[1,4,6,8,9,11,13],[1,5,7,9,10,12,13],[1,6,7,8,11,12,14],[2,3,6,7,8,11,13],[2,3,7,9,12,13,14],[2,4,6,7,8,10,12],[2,4,7,8,9,12,14],[2,4,9,10,11,13,14],[2,5,6,8,10,13,14],[2,5,6,9,10,11,12],[3,4,5,7,10,11,14],[3,4,5,8,12,13,14],[3,4,6,9,11,12,13],[3,5,6,7,9,11,14],[3,5,6,8,9,10,12],[4,5,7,8,10,11,13]]; G[4293]:=Group([(2,11)(3,8)(4,14)(5,12)(9,10)]); # Design 4294: autom. group order 2, simple, residual B[4294]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,5,8,9,11,14],[1,3,7,8,9,10,13],[1,3,8,10,11,12,14],[1,4,5,6,12,13,14],[1,4,6,7,9,10,14],[1,4,6,8,9,11,13],[1,5,7,9,10,12,13],[1,6,7,8,11,12,14],[2,3,6,7,8,11,13],[2,3,7,9,12,13,14],[2,4,6,8,10,12,13],[2,4,7,9,10,11,14],[2,4,8,9,12,13,14],[2,5,6,7,8,10,14],[2,5,6,9,10,11,12],[3,4,5,7,8,12,14],[3,4,5,10,11,13,14],[3,4,6,7,9,11,12],[3,5,6,8,9,10,12],[3,5,6,9,11,13,14],[4,5,7,8,10,11,13]]; G[4294]:=Group([(2,11)(3,8)(4,14)(5,12)(9,10)]); # Design 4295: autom. group order 2, simple, residual B[4295]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,5,8,9,11,14],[1,3,7,8,9,10,13],[1,3,8,10,11,12,14],[1,4,5,6,12,13,14],[1,4,6,7,9,10,14],[1,4,6,8,9,11,13],[1,5,7,9,10,12,13],[1,6,7,8,11,12,14],[2,3,6,7,8,11,13],[2,3,7,9,12,13,14],[2,4,6,8,10,12,13],[2,4,7,8,9,12,14],[2,4,9,10,11,13,14],[2,5,6,7,8,10,14],[2,5,6,9,10,11,12],[3,4,5,7,10,11,14],[3,4,5,8,12,13,14],[3,4,6,7,9,11,12],[3,5,6,8,9,10,12],[3,5,6,9,11,13,14],[4,5,7,8,10,11,13]]; G[4295]:=Group([(2,11)(3,8)(4,14)(5,12)(9,10)]); # Design 4296: autom. group order 2, simple, residual B[4296]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,5,8,9,11,14],[1,3,7,8,9,10,13],[1,3,8,10,11,12,14],[1,4,5,6,12,13,14],[1,4,6,8,9,11,13],[1,4,7,9,10,13,14],[1,5,6,7,9,10,12],[1,6,7,8,11,12,14],[2,3,6,7,8,11,13],[2,3,6,7,9,12,14],[2,4,6,8,10,12,13],[2,4,6,9,10,11,14],[2,4,7,8,9,12,14],[2,5,7,8,10,13,14],[2,5,9,10,11,12,13],[3,4,5,7,10,11,14],[3,4,5,8,12,13,14],[3,4,7,9,11,12,13],[3,5,6,8,9,10,12],[3,5,6,9,11,13,14],[4,5,6,7,8,10,11]]; G[4296]:=Group([(2,11)(3,8)(4,14)(5,12)(9,10)]); # Design 4297: autom. group order 2, simple, residual B[4297]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,5,8,9,11,14],[1,3,7,8,9,10,13],[1,3,8,10,11,12,14],[1,4,5,6,12,13,14],[1,4,6,8,9,11,13],[1,4,7,9,10,13,14],[1,5,6,7,9,10,12],[1,6,7,8,11,12,14],[2,3,6,7,8,11,13],[2,3,6,9,12,13,14],[2,4,6,7,8,10,12],[2,4,6,9,10,11,14],[2,4,7,8,9,12,14],[2,5,7,8,10,13,14],[2,5,9,10,11,12,13],[3,4,5,7,10,11,14],[3,4,5,8,12,13,14],[3,4,7,9,11,12,13],[3,5,6,7,9,11,14],[3,5,6,8,9,10,12],[4,5,6,8,10,11,13]]; G[4297]:=Group([(2,11)(3,8)(4,14)(5,12)(9,10)]); # Design 4298: autom. group order 2, simple B[4298]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,7,10,12,14],[1,3,7,8,9,12,14],[1,3,8,9,10,11,13],[1,4,5,6,9,13,14],[1,4,6,8,11,12,13],[1,4,7,11,12,13,14],[1,5,6,9,10,11,12],[1,6,7,8,9,10,14],[2,3,6,7,9,11,13],[2,3,6,9,11,12,14],[2,4,6,8,10,13,14],[2,4,7,8,9,11,14],[2,4,7,9,10,12,13],[2,5,6,8,11,12,14],[2,5,8,9,10,12,13],[3,4,5,8,10,11,14],[3,4,5,9,12,13,14],[3,4,6,7,8,10,12],[3,5,6,7,8,12,13],[3,5,7,10,11,13,14],[4,5,6,7,9,10,11]]; G[4298]:=Group([(2,11)(3,12)(5,13)(7,8)(9,14)]); # Design 4299: autom. group order 2, simple, residual B[4299]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,7,10,12,14],[1,3,7,8,9,12,14],[1,3,8,9,10,11,13],[1,4,5,6,9,13,14],[1,4,6,8,11,12,13],[1,4,7,11,12,13,14],[1,5,6,9,10,11,12],[1,6,7,8,9,10,14],[2,3,6,7,9,11,13],[2,3,6,8,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,9,11,14],[2,4,7,9,10,12,13],[2,5,6,8,11,12,14],[2,5,8,9,10,12,13],[3,4,5,8,10,11,14],[3,4,5,9,12,13,14],[3,4,6,7,8,10,12],[3,5,6,7,9,11,12],[3,5,7,10,11,13,14],[4,5,6,7,8,10,13]]; G[4299]:=Group([(2,11)(3,12)(5,13)(7,8)(9,14)]); # Design 4300: autom. group order 2, simple, residual B[4300]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,7,10,12,14],[1,3,7,8,9,12,14],[1,3,8,9,10,11,13],[1,4,5,6,9,13,14],[1,4,6,8,11,12,13],[1,4,7,11,12,13,14],[1,5,6,9,10,11,12],[1,6,7,8,9,10,14],[2,3,6,7,9,11,13],[2,3,6,8,12,13,14],[2,4,6,8,9,10,12],[2,4,7,8,9,11,14],[2,4,7,9,10,12,13],[2,5,6,8,11,12,14],[2,5,9,10,11,13,14],[3,4,5,8,10,11,14],[3,4,5,9,12,13,14],[3,4,6,7,10,11,14],[3,5,6,7,9,11,12],[3,5,7,8,10,12,13],[4,5,6,7,8,10,13]]; G[4300]:=Group([(2,11)(3,12)(5,13)(7,8)(9,14)]); # Design 4301: autom. group order 2, simple, residual B[4301]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,8,10,12,14],[1,3,7,8,9,12,14],[1,3,7,9,10,11,13],[1,4,5,6,9,13,14],[1,4,6,7,11,12,14],[1,4,8,11,12,13,14],[1,5,6,9,10,11,12],[1,6,7,8,9,10,13],[2,3,6,7,9,12,14],[2,3,6,8,11,13,14],[2,4,6,8,9,10,11],[2,4,7,8,9,12,13],[2,4,7,9,10,11,14],[2,5,6,7,11,12,13],[2,5,9,10,12,13,14],[3,4,5,7,10,12,13],[3,4,5,9,11,13,14],[3,4,6,8,10,12,13],[3,5,6,8,9,11,12],[3,5,7,8,10,11,14],[4,5,6,7,8,10,14]]; G[4301]:=Group([(2,12)(3,11)(5,14)(9,13)]); # Design 4302: autom. group order 2, simple, residual B[4302]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,8,10,12,14],[1,3,7,8,9,12,14],[1,3,7,9,10,11,13],[1,4,5,6,9,13,14],[1,4,6,7,11,12,14],[1,4,8,11,12,13,14],[1,5,6,9,10,11,12],[1,6,7,8,9,10,13],[2,3,6,7,12,13,14],[2,3,6,8,9,11,14],[2,4,6,8,10,11,13],[2,4,7,8,9,12,13],[2,4,7,9,10,11,14],[2,5,6,7,9,11,12],[2,5,9,10,12,13,14],[3,4,5,7,10,12,13],[3,4,5,9,11,13,14],[3,4,6,8,9,10,12],[3,5,6,8,11,12,13],[3,5,7,8,10,11,14],[4,5,6,7,8,10,14]]; G[4302]:=Group([(2,12)(3,11)(5,14)(9,13)]); # Design 4303: autom. group order 2, simple, residual B[4303]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,8,10,12,14],[1,3,7,8,9,12,14],[1,3,7,9,10,11,13],[1,4,5,6,9,13,14],[1,4,6,8,11,12,13],[1,4,7,11,12,13,14],[1,5,6,9,10,11,12],[1,6,7,8,9,10,14],[2,3,6,7,9,12,13],[2,3,6,8,11,13,14],[2,4,6,7,10,12,14],[2,4,7,8,9,11,14],[2,4,8,9,10,12,13],[2,5,6,7,9,11,12],[2,5,9,10,11,13,14],[3,4,5,7,10,11,14],[3,4,5,9,12,13,14],[3,4,6,8,9,10,11],[3,5,6,8,11,12,14],[3,5,7,8,10,12,13],[4,5,6,7,8,10,13]]; G[4303]:=Group([(2,11)(3,12)(5,13)(7,8)(9,14)]); # Design 4304: autom. group order 2, simple, residual B[4304]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,8,10,12,14],[1,3,7,8,9,12,14],[1,3,7,9,10,11,13],[1,4,5,6,9,13,14],[1,4,6,8,11,12,13],[1,4,7,11,12,13,14],[1,5,6,9,10,11,12],[1,6,7,8,9,10,14],[2,3,6,7,9,12,13],[2,3,6,8,11,13,14],[2,4,6,9,10,11,14],[2,4,7,8,9,11,14],[2,4,8,9,10,12,13],[2,5,6,7,9,11,12],[2,5,7,10,12,13,14],[3,4,5,7,10,11,14],[3,4,5,9,12,13,14],[3,4,6,7,8,10,12],[3,5,6,8,11,12,14],[3,5,8,9,10,11,13],[4,5,6,7,8,10,13]]; G[4304]:=Group([(2,11)(3,12)(5,13)(7,8)(9,14)]); # Design 4305: autom. group order 2, simple B[4305]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,8,10,12,14],[1,3,7,8,9,12,14],[1,3,7,9,10,11,13],[1,4,5,6,9,13,14],[1,4,6,8,11,12,13],[1,4,7,11,12,13,14],[1,5,6,9,10,11,12],[1,6,7,8,9,10,14],[2,3,6,8,11,13,14],[2,3,6,9,11,12,14],[2,4,6,7,9,10,13],[2,4,7,8,9,11,14],[2,4,8,9,10,12,13],[2,5,6,7,9,11,12],[2,5,7,10,12,13,14],[3,4,5,7,10,11,14],[3,4,5,9,12,13,14],[3,4,6,7,8,10,12],[3,5,6,7,8,12,13],[3,5,8,9,10,11,13],[4,5,6,8,10,11,14]]; G[4305]:=Group([(2,11)(3,12)(5,13)(7,8)(9,14)]); # Design 4306: autom. group order 2, simple B[4306]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,10,11,13],[1,2,5,8,12,13,14],[1,3,7,8,9,11,13],[1,3,8,9,10,12,14],[1,4,5,6,7,9,14],[1,4,6,9,11,12,14],[1,4,7,11,12,13,14],[1,5,6,8,10,11,12],[1,6,7,8,9,10,13],[2,3,6,7,8,12,14],[2,3,6,9,11,13,14],[2,4,6,8,9,10,11],[2,4,7,8,9,12,13],[2,4,7,8,10,11,14],[2,5,6,9,11,12,13],[2,5,7,9,10,12,14],[3,4,5,8,11,13,14],[3,4,5,9,10,12,13],[3,4,6,7,10,12,13],[3,5,6,7,8,11,12],[3,5,7,9,10,11,14],[4,5,6,8,10,13,14]]; G[4306]:=Group([(2,12)(3,11)(5,14)(7,9)(8,13)]); # Design 4307: autom. group order 2, simple, residual B[4307]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,5,8,9,11,14],[1,3,7,8,9,10,13],[1,3,8,10,11,12,14],[1,4,5,6,12,13,14],[1,4,6,8,9,11,13],[1,4,7,9,10,13,14],[1,5,6,7,9,10,12],[1,6,7,8,11,12,14],[2,3,6,7,8,11,13],[2,3,6,7,9,12,14],[2,4,6,9,10,11,14],[2,4,7,8,9,12,14],[2,4,7,8,10,12,13],[2,5,6,8,10,13,14],[2,5,9,10,11,12,13],[3,4,5,7,10,11,14],[3,4,5,8,12,13,14],[3,4,6,9,11,12,13],[3,5,6,8,9,10,12],[3,5,7,9,11,13,14],[4,5,6,7,8,10,11]]; G[4307]:=Group([(2,11)(3,8)(4,14)(5,12)(9,10)]); # Design 4308: autom. group order 2, simple, residual B[4308]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,9,10,11,14],[1,3,7,8,9,12,14],[1,3,8,10,11,12,13],[1,4,5,6,12,13,14],[1,4,6,8,9,12,13],[1,4,7,9,11,13,14],[1,5,6,7,10,12,14],[1,6,7,8,9,10,11],[2,3,6,7,11,12,13],[2,3,6,8,9,13,14],[2,4,6,7,9,11,12],[2,4,7,8,10,12,14],[2,4,7,8,10,13,14],[2,5,6,8,9,10,12],[2,5,9,11,12,13,14],[3,4,5,7,9,10,13],[3,4,5,8,11,12,14],[3,4,6,9,10,11,14],[3,5,6,7,8,11,14],[3,5,7,9,10,12,13],[4,5,6,8,10,11,13]]; G[4308]:=Group([(1,6)(2,3)(4,13)(5,14)(7,10)(8,9)]); # Design 4309: autom. group order 2, simple B[4309]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,5,9,10,12,13],[1,3,7,8,9,12,13],[1,3,7,8,10,11,14],[1,4,5,6,7,9,14],[1,4,6,9,11,12,14],[1,4,7,11,12,13,14],[1,5,6,8,10,11,12],[1,6,7,8,9,10,13],[2,3,6,7,8,12,14],[2,3,6,9,11,13,14],[2,4,6,7,10,12,13],[2,4,7,8,9,11,13],[2,4,8,9,10,12,14],[2,5,6,7,8,11,12],[2,5,7,9,10,11,14],[3,4,5,7,10,11,13],[3,4,5,8,12,13,14],[3,4,6,8,9,10,11],[3,5,6,9,11,12,13],[3,5,7,9,10,12,14],[4,5,6,8,10,13,14]]; G[4309]:=Group([(2,11)(3,12)(5,14)(7,9)(8,13)]); # Design 4310: autom. group order 2, simple, residual B[4310]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,10,11,13],[1,2,5,8,12,13,14],[1,3,7,8,9,11,14],[1,3,7,9,12,13,14],[1,4,5,6,9,12,14],[1,4,6,8,10,11,14],[1,4,7,9,10,11,13],[1,5,6,7,8,11,12],[1,6,8,9,10,12,13],[2,3,6,8,9,11,13],[2,3,7,8,10,12,14],[2,4,6,7,8,9,13],[2,4,6,11,12,13,14],[2,4,7,9,11,12,14],[2,5,6,7,9,10,14],[2,5,8,9,10,11,12],[3,4,5,8,11,13,14],[3,4,5,9,10,12,13],[3,4,6,7,8,10,12],[3,5,6,7,11,12,13],[3,5,6,9,10,11,14],[4,5,7,8,10,13,14]]; G[4310]:=Group([(1,12)(3,11)(5,14)(6,9)(8,13)]); # Design 4311: autom. group order 2, simple, residual B[4311]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,9,12,13],[1,3,7,8,11,12,13],[1,3,7,9,10,12,14],[1,4,5,6,12,13,14],[1,4,6,8,9,10,11],[1,4,7,8,10,11,13],[1,5,6,9,10,11,14],[1,6,7,8,9,12,14],[2,3,6,7,8,11,14],[2,3,8,9,10,13,14],[2,4,6,7,9,10,13],[2,4,6,8,11,12,14],[2,4,9,11,12,13,14],[2,5,6,7,8,10,12],[2,5,7,9,10,11,12],[3,4,5,7,9,11,14],[3,4,5,8,10,12,14],[3,4,6,7,9,12,13],[3,5,6,8,9,11,13],[3,5,6,10,11,12,13],[4,5,7,8,10,13,14]]; G[4311]:=Group([(1,11)(3,12)(5,14)(6,9)(7,13)]); # Design 4312: autom. group order 2, simple B[4312]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,9,12,13],[1,3,7,8,11,12,13],[1,3,7,9,10,12,14],[1,4,5,6,12,13,14],[1,4,6,8,9,10,11],[1,4,7,8,10,12,14],[1,5,6,9,10,11,14],[1,6,7,8,9,11,13],[2,3,6,7,8,11,14],[2,3,8,9,10,13,14],[2,4,6,7,9,10,13],[2,4,6,8,11,12,14],[2,4,9,11,12,13,14],[2,5,6,7,8,10,12],[2,5,7,9,10,11,12],[3,4,5,7,9,11,14],[3,4,5,8,10,11,13],[3,4,6,7,9,12,13],[3,5,6,8,9,12,14],[3,5,6,10,11,12,13],[4,5,7,8,10,13,14]]; G[4312]:=Group([(1,11)(3,12)(5,14)(6,9)(7,13)]); # Design 4313: autom. group order 2, simple, residual B[4313]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,10,12,13],[1,3,7,8,9,11,14],[1,3,8,9,12,13,14],[1,4,5,6,9,11,14],[1,4,6,7,10,12,14],[1,4,7,8,9,10,12],[1,5,6,8,11,12,13],[1,6,7,9,10,11,13],[2,3,6,7,9,12,13],[2,3,7,8,10,11,14],[2,4,6,7,8,9,13],[2,4,6,8,11,12,14],[2,4,9,11,12,13,14],[2,5,6,8,9,10,14],[2,5,7,9,10,11,12],[3,4,5,7,12,13,14],[3,4,5,9,10,11,13],[3,4,6,8,10,11,13],[3,5,6,7,8,11,12],[3,5,6,9,10,12,14],[4,5,7,8,10,13,14]]; G[4313]:=Group([(1,11)(3,12)(5,14)(6,9)(7,13)]); # Design 4314: autom. group order 2, simple B[4314]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,9,12,13,14],[1,3,7,9,11,12,13],[1,3,8,10,11,13,14],[1,4,5,6,9,11,14],[1,4,6,7,8,10,12],[1,4,7,9,10,11,14],[1,5,6,8,10,12,14],[1,6,7,8,9,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,10,14],[2,4,6,8,9,10,13],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,6,7,10,11,13],[2,5,8,9,10,11,12],[3,4,5,7,10,12,13],[3,4,5,8,12,13,14],[3,4,6,8,9,11,13],[3,5,6,7,8,11,14],[3,5,6,9,10,11,12],[4,5,7,9,10,13,14]]; G[4314]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 4315: autom. group order 2, simple, residual B[4315]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,9,12,13,14],[1,3,7,9,11,12,13],[1,3,8,10,11,13,14],[1,4,5,6,9,11,14],[1,4,6,7,8,10,12],[1,4,7,9,10,12,13],[1,5,6,8,10,12,14],[1,6,7,8,9,11,14],[2,3,6,7,9,12,14],[2,3,7,8,9,10,14],[2,4,6,8,9,10,13],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,6,7,10,11,13],[2,5,8,9,10,11,12],[3,4,5,7,10,11,14],[3,4,5,8,12,13,14],[3,4,6,8,9,11,13],[3,5,6,7,8,12,13],[3,5,6,9,10,11,12],[4,5,7,9,10,13,14]]; G[4315]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 4316: autom. group order 2, simple B[4316]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,9,12,13,14],[1,3,7,8,11,13,14],[1,3,9,10,11,12,13],[1,4,5,6,9,11,14],[1,4,6,7,8,10,12],[1,4,7,9,10,11,14],[1,5,6,8,10,12,14],[1,6,7,8,9,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,10,14],[2,4,6,8,9,10,13],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,6,7,10,11,13],[2,5,8,9,10,11,12],[3,4,5,7,10,12,13],[3,4,5,8,12,13,14],[3,4,6,8,9,11,13],[3,5,6,7,9,11,12],[3,5,6,8,10,11,14],[4,5,7,9,10,13,14]]; G[4316]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 4317: autom. group order 2, simple B[4317]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,9,12,13,14],[1,3,7,8,11,13,14],[1,3,8,9,10,12,14],[1,4,5,6,9,11,14],[1,4,6,7,8,10,12],[1,4,7,9,10,11,14],[1,5,6,10,11,12,13],[1,6,7,8,9,12,13],[2,3,6,7,9,12,14],[2,3,7,9,10,11,13],[2,4,6,8,9,10,13],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,6,7,8,10,14],[2,5,8,9,10,11,12],[3,4,5,7,10,12,13],[3,4,5,8,12,13,14],[3,4,6,8,9,11,13],[3,5,6,7,9,11,12],[3,5,6,8,10,11,14],[4,5,7,9,10,13,14]]; G[4317]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 4318: autom. group order 2, simple, residual B[4318]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,5,8,9,11,14],[1,3,7,8,9,10,13],[1,3,8,10,11,12,14],[1,4,5,6,12,13,14],[1,4,6,8,9,11,13],[1,4,7,9,10,13,14],[1,5,6,7,9,10,12],[1,6,7,8,11,12,14],[2,3,6,7,8,11,13],[2,3,7,9,12,13,14],[2,4,6,7,8,10,12],[2,4,6,9,10,11,14],[2,4,7,8,9,12,14],[2,5,6,8,10,13,14],[2,5,9,10,11,12,13],[3,4,5,7,10,11,14],[3,4,5,8,12,13,14],[3,4,6,9,11,12,13],[3,5,6,7,9,11,14],[3,5,6,8,9,10,12],[4,5,7,8,10,11,13]]; G[4318]:=Group([(2,11)(3,8)(4,14)(5,12)(9,10)]); # Design 4319: autom. group order 2, simple, residual B[4319]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,5,8,9,11,14],[1,3,7,8,9,10,13],[1,3,8,10,11,12,14],[1,4,5,6,12,13,14],[1,4,6,8,9,11,13],[1,4,7,9,10,13,14],[1,5,6,7,9,10,12],[1,6,7,8,11,12,14],[2,3,6,7,8,11,13],[2,3,7,9,12,13,14],[2,4,6,8,10,12,13],[2,4,6,9,10,11,14],[2,4,7,8,9,12,14],[2,5,6,7,8,10,14],[2,5,9,10,11,12,13],[3,4,5,7,10,11,14],[3,4,5,8,12,13,14],[3,4,6,7,9,11,12],[3,5,6,8,9,10,12],[3,5,6,9,11,13,14],[4,5,7,8,10,11,13]]; G[4319]:=Group([(2,11)(3,8)(4,14)(5,12)(9,10)]); # Design 4320: autom. group order 2, simple, residual B[4320]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,5,8,9,11,14],[1,3,7,8,9,10,13],[1,3,8,10,11,12,14],[1,4,5,7,12,13,14],[1,4,6,7,9,10,14],[1,4,6,8,9,11,13],[1,5,6,9,10,12,13],[1,6,7,8,11,12,14],[2,3,6,7,8,11,13],[2,3,6,7,9,12,14],[2,4,6,8,10,12,13],[2,4,7,9,10,11,14],[2,4,8,9,12,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,13,14],[3,4,5,6,8,12,14],[3,4,5,10,11,13,14],[3,4,7,9,11,12,13],[3,5,6,9,11,13,14],[3,5,7,8,9,10,12],[4,5,6,7,8,10,11]]; G[4320]:=Group([(2,11)(3,8)(4,14)(5,12)(9,10)]); # Design 4321: autom. group order 2, simple, residual B[4321]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,5,8,10,13,14],[1,3,7,8,9,12,13],[1,3,8,9,10,11,14],[1,4,5,9,11,12,14],[1,4,6,7,8,10,14],[1,4,6,7,11,12,13],[1,5,6,9,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,9,11,14],[2,3,6,8,12,13,14],[2,4,6,9,10,12,14],[2,4,7,9,10,13,14],[2,4,8,9,11,12,13],[2,5,6,7,8,9,11],[2,5,7,8,10,11,12],[3,4,5,6,8,12,14],[3,4,5,7,9,10,13],[3,4,7,8,11,13,14],[3,5,6,9,10,12,13],[3,5,7,10,11,12,14],[4,5,6,8,10,11,13]]; G[4321]:=Group([(2,5)(3,14)(4,13)(6,12)(9,10)]); # Design 4322: autom. group order 2, simple, residual B[4322]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,5,8,9,11,14],[1,3,7,8,9,10,13],[1,3,8,10,11,12,14],[1,4,5,7,12,13,14],[1,4,6,7,9,10,14],[1,4,6,8,9,11,13],[1,5,6,9,10,12,13],[1,6,7,8,11,12,14],[2,3,6,7,8,11,13],[2,3,6,7,9,12,14],[2,4,7,8,10,12,13],[2,4,7,9,10,11,14],[2,4,8,9,12,13,14],[2,5,6,8,10,13,14],[2,5,6,9,10,11,12],[3,4,5,6,8,12,14],[3,4,5,10,11,13,14],[3,4,6,9,11,12,13],[3,5,7,8,9,10,12],[3,5,7,9,11,13,14],[4,5,6,7,8,10,11]]; G[4322]:=Group([(2,11)(3,8)(4,14)(5,12)(9,10)]); # Design 4323: autom. group order 2, simple, residual B[4323]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,5,8,9,11,14],[1,3,7,8,9,10,13],[1,3,8,10,11,12,14],[1,4,5,7,12,13,14],[1,4,6,7,9,10,14],[1,4,6,8,9,11,13],[1,5,6,9,10,12,13],[1,6,7,8,11,12,14],[2,3,6,7,8,11,13],[2,3,6,9,12,13,14],[2,4,7,8,10,12,13],[2,4,7,9,10,11,14],[2,4,8,9,12,13,14],[2,5,6,7,8,10,14],[2,5,6,9,10,11,12],[3,4,5,6,8,12,14],[3,4,5,10,11,13,14],[3,4,6,7,9,11,12],[3,5,7,8,9,10,12],[3,5,7,9,11,13,14],[4,5,6,8,10,11,13]]; G[4323]:=Group([(2,11)(3,8)(4,14)(5,12)(9,10)]); # Design 4324: autom. group order 2, simple, residual B[4324]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,10,11,13],[1,2,5,8,12,13,14],[1,3,7,8,9,11,14],[1,3,7,9,12,13,14],[1,4,5,9,11,13,14],[1,4,6,7,9,10,12],[1,4,6,8,10,11,14],[1,5,6,7,8,11,12],[1,6,8,9,10,12,13],[2,3,6,8,9,11,13],[2,3,7,8,10,12,14],[2,4,6,7,8,9,13],[2,4,6,11,12,13,14],[2,4,7,9,11,12,14],[2,5,6,7,9,10,14],[2,5,8,9,10,11,12],[3,4,5,6,8,12,14],[3,4,5,9,10,12,13],[3,4,7,8,10,11,13],[3,5,6,7,11,12,13],[3,5,6,9,10,11,14],[4,5,7,8,10,13,14]]; G[4324]:=Group([(1,12)(3,11)(5,14)(6,9)(8,13)]); # Design 4325: autom. group order 2, simple, residual B[4325]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,9,12,13],[1,3,7,8,9,12,14],[1,3,7,10,11,12,13],[1,4,5,8,10,11,14],[1,4,6,7,9,12,14],[1,4,6,8,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,11,13],[2,3,6,7,8,11,14],[2,3,8,9,10,13,14],[2,4,6,7,9,10,13],[2,4,6,8,11,12,14],[2,4,9,11,12,13,14],[2,5,6,7,8,10,12],[2,5,7,9,10,11,12],[3,4,5,6,9,11,13],[3,4,5,7,12,13,14],[3,4,7,8,9,10,11],[3,5,6,8,11,12,13],[3,5,6,9,10,12,14],[4,5,7,8,10,13,14]]; G[4325]:=Group([(1,11)(3,12)(5,14)(6,9)(7,13)]); # Design 4326: autom. group order 2, simple, residual B[4326]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,9,12,13],[1,3,7,8,11,12,13],[1,3,7,9,10,12,14],[1,4,5,8,10,11,14],[1,4,6,7,9,11,13],[1,4,6,8,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,12,14],[2,3,6,7,8,11,14],[2,3,8,9,10,13,14],[2,4,6,7,9,10,13],[2,4,6,8,11,12,14],[2,4,9,11,12,13,14],[2,5,6,7,8,10,12],[2,5,7,9,10,11,12],[3,4,5,6,9,12,14],[3,4,5,7,12,13,14],[3,4,7,8,9,10,11],[3,5,6,8,9,11,13],[3,5,6,10,11,12,13],[4,5,7,8,10,13,14]]; G[4326]:=Group([(1,11)(3,12)(5,14)(6,9)(7,13)]); # Design 4327: autom. group order 2, simple, residual B[4327]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,9,12,13],[1,3,7,8,11,12,13],[1,3,7,9,10,12,14],[1,4,5,8,10,11,14],[1,4,6,7,9,12,14],[1,4,6,8,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,11,13],[2,3,6,7,8,11,14],[2,3,8,9,10,13,14],[2,4,6,7,9,10,13],[2,4,6,8,11,12,14],[2,4,9,11,12,13,14],[2,5,6,7,8,10,12],[2,5,7,9,10,11,12],[3,4,5,6,9,11,13],[3,4,5,7,12,13,14],[3,4,7,8,9,10,11],[3,5,6,8,9,12,14],[3,5,6,10,11,12,13],[4,5,7,8,10,13,14]]; G[4327]:=Group([(1,11)(3,12)(5,14)(6,9)(7,13)]); # Design 4328: autom. group order 2, simple, residual B[4328]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,10,12,13],[1,3,7,8,9,11,14],[1,3,8,9,12,13,14],[1,4,5,7,9,12,14],[1,4,6,7,10,12,14],[1,4,6,8,9,10,11],[1,5,6,8,11,12,13],[1,6,7,9,10,11,13],[2,3,6,7,9,12,13],[2,3,7,8,10,11,14],[2,4,6,7,8,9,13],[2,4,6,8,11,12,14],[2,4,9,11,12,13,14],[2,5,6,8,9,10,14],[2,5,7,9,10,11,12],[3,4,5,6,11,13,14],[3,4,5,9,10,11,13],[3,4,7,8,10,12,13],[3,5,6,7,8,11,12],[3,5,6,9,10,12,14],[4,5,7,8,10,13,14]]; G[4328]:=Group([(1,11)(3,12)(5,14)(6,9)(7,13)]); # Design 4329: autom. group order 2, simple, residual B[4329]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,9,12,13,14],[1,3,7,9,11,12,13],[1,3,8,10,11,13,14],[1,4,5,7,10,12,14],[1,4,6,7,9,10,11],[1,4,6,8,9,11,14],[1,5,6,8,10,12,14],[1,6,7,8,9,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,10,14],[2,4,6,8,9,10,13],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,6,7,10,11,13],[2,5,8,9,10,11,12],[3,4,5,6,8,12,13],[3,4,5,9,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,8,11,14],[3,5,6,9,10,11,12],[4,5,7,9,10,13,14]]; G[4329]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 4330: autom. group order 2, simple, residual B[4330]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,9,12,13,14],[1,3,7,9,11,12,13],[1,3,8,10,11,13,14],[1,4,5,7,10,12,14],[1,4,6,7,9,10,11],[1,4,6,8,9,12,13],[1,5,6,8,10,12,14],[1,6,7,8,9,11,14],[2,3,6,7,9,12,14],[2,3,7,8,9,10,14],[2,4,6,8,9,10,13],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,6,7,10,11,13],[2,5,8,9,10,11,12],[3,4,5,6,8,11,14],[3,4,5,9,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,8,12,13],[3,5,6,9,10,11,12],[4,5,7,9,10,13,14]]; G[4330]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 4331: autom. group order 2, simple, residual B[4331]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,9,12,13,14],[1,3,7,8,11,13,14],[1,3,9,10,11,12,13],[1,4,5,7,10,12,14],[1,4,6,7,9,10,11],[1,4,6,8,9,11,14],[1,5,6,8,10,12,14],[1,6,7,8,9,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,10,14],[2,4,6,8,9,10,13],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,6,7,10,11,13],[2,5,8,9,10,11,12],[3,4,5,6,8,12,13],[3,4,5,9,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,11,12],[3,5,6,8,10,11,14],[4,5,7,9,10,13,14]]; G[4331]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 4332: autom. group order 2, simple B[4332]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,9,12,13,14],[1,3,7,8,11,13,14],[1,3,8,9,10,12,14],[1,4,5,7,10,12,14],[1,4,6,7,9,10,11],[1,4,6,8,9,11,14],[1,5,6,10,11,12,13],[1,6,7,8,9,12,13],[2,3,6,7,9,12,14],[2,3,7,9,10,11,13],[2,4,6,8,9,10,13],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,6,7,8,10,14],[2,5,8,9,10,11,12],[3,4,5,6,8,12,13],[3,4,5,9,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,11,12],[3,5,6,8,10,11,14],[4,5,7,9,10,13,14]]; G[4332]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 4333: autom. group order 2, simple, residual B[4333]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,5,8,10,13,14],[1,3,7,8,9,12,13],[1,3,8,9,10,11,14],[1,4,5,9,11,12,14],[1,4,6,7,8,10,14],[1,4,6,7,11,12,13],[1,5,6,9,11,13,14],[1,6,7,8,9,10,12],[2,3,6,8,12,13,14],[2,3,7,9,11,12,14],[2,4,6,8,9,11,13],[2,4,6,9,10,12,14],[2,4,7,9,10,13,14],[2,5,6,7,8,9,11],[2,5,7,8,10,11,12],[3,4,5,6,8,12,14],[3,4,5,7,9,10,13],[3,4,7,8,11,13,14],[3,5,6,7,10,11,14],[3,5,6,9,10,12,13],[4,5,8,10,11,12,13]]; G[4333]:=Group([(2,5)(3,14)(4,13)(6,12)(9,10)]); # Design 4334: autom. group order 2, simple, residual B[4334]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,5,8,9,11,14],[1,3,7,8,9,10,13],[1,3,8,10,11,12,14],[1,4,5,7,12,13,14],[1,4,6,7,9,10,14],[1,4,6,8,9,11,13],[1,5,6,9,10,12,13],[1,6,7,8,11,12,14],[2,3,6,7,8,11,13],[2,3,7,9,12,13,14],[2,4,6,7,8,10,12],[2,4,7,9,10,11,14],[2,4,8,9,12,13,14],[2,5,6,8,10,13,14],[2,5,6,9,10,11,12],[3,4,5,6,8,12,14],[3,4,5,10,11,13,14],[3,4,6,9,11,12,13],[3,5,6,7,9,11,14],[3,5,7,8,9,10,12],[4,5,7,8,10,11,13]]; G[4334]:=Group([(2,11)(3,8)(4,14)(5,12)(9,10)]); # Design 4335: autom. group order 2, simple, residual B[4335]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,5,8,9,11,14],[1,3,7,8,9,10,13],[1,3,8,10,11,12,14],[1,4,5,7,12,13,14],[1,4,6,7,9,10,14],[1,4,6,8,9,11,13],[1,5,6,9,10,12,13],[1,6,7,8,11,12,14],[2,3,6,7,8,11,13],[2,3,7,9,12,13,14],[2,4,6,8,10,12,13],[2,4,7,9,10,11,14],[2,4,8,9,12,13,14],[2,5,6,7,8,10,14],[2,5,6,9,10,11,12],[3,4,5,6,8,12,14],[3,4,5,10,11,13,14],[3,4,6,7,9,11,12],[3,5,6,9,11,13,14],[3,5,7,8,9,10,12],[4,5,7,8,10,11,13]]; G[4335]:=Group([(2,11)(3,8)(4,14)(5,12)(9,10)]); # Design 4336: autom. group order 2, simple B[4336]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,5,7,12,13,14],[1,3,6,7,8,12,14],[1,3,6,7,9,11,13],[1,4,5,6,9,11,14],[1,4,7,9,12,13,14],[1,4,8,9,10,13,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,9,10,11,14],[2,4,6,7,9,10,12],[2,4,6,8,11,13,14],[2,4,7,8,11,12,13],[2,5,6,9,11,12,14],[2,5,7,8,9,10,14],[3,4,5,8,11,12,14],[3,4,5,9,10,12,13],[3,4,6,7,8,10,14],[3,5,6,10,12,13,14],[3,5,7,8,9,11,13],[4,5,6,7,10,11,13]]; G[4336]:=Group([(2,10)(3,11)(4,12)(5,8)(7,9)]); # Design 4337: autom. group order 2, simple B[4337]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,5,9,12,13,14],[1,3,6,7,9,11,13],[1,3,6,8,9,12,14],[1,4,5,6,7,11,14],[1,4,7,8,10,13,14],[1,4,7,9,12,13,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,6,7,8,12,13],[2,3,7,9,10,11,14],[2,4,6,7,9,10,12],[2,4,6,8,9,11,14],[2,4,7,8,11,12,13],[2,5,6,11,12,13,14],[2,5,7,8,9,10,14],[3,4,5,8,11,12,14],[3,4,5,9,10,12,13],[3,4,6,8,10,13,14],[3,5,6,7,10,12,14],[3,5,7,8,9,11,13],[4,5,6,9,10,11,13]]; G[4337]:=Group([(2,10)(3,11)(4,12)(5,8)(7,9)]); # Design 4338: autom. group order 2, simple B[4338]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,13],[1,2,5,8,12,13,14],[1,3,6,7,9,13,14],[1,3,6,8,9,11,12],[1,4,5,6,11,12,14],[1,4,7,8,9,10,11],[1,4,7,9,11,13,14],[1,5,8,9,10,12,13],[1,6,7,8,10,12,14],[2,3,7,8,11,12,13],[2,3,7,9,10,12,14],[2,4,6,8,9,10,13],[2,4,6,8,11,13,14],[2,4,6,9,10,12,14],[2,5,6,7,9,11,12],[2,5,7,8,9,11,14],[3,4,5,7,8,10,14],[3,4,5,9,12,13,14],[3,4,6,7,8,12,13],[3,5,6,8,10,11,14],[3,5,6,9,10,11,13],[4,5,7,10,11,12,13]]; G[4338]:=Group([(1,5)(3,7)(4,6)(8,13)(9,10)]); # Design 4339: autom. group order 2, simple B[4339]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,13],[1,2,5,8,12,13,14],[1,3,6,7,9,13,14],[1,3,6,8,9,11,14],[1,4,5,6,11,12,14],[1,4,7,8,9,10,11],[1,4,7,9,11,12,13],[1,5,8,9,10,12,13],[1,6,7,8,10,12,14],[2,3,7,8,11,12,13],[2,3,7,9,10,12,14],[2,4,6,8,9,10,13],[2,4,6,8,11,13,14],[2,4,6,9,10,12,14],[2,5,6,7,9,11,12],[2,5,7,8,9,11,14],[3,4,5,7,8,10,14],[3,4,5,9,12,13,14],[3,4,6,7,8,12,13],[3,5,6,8,10,11,12],[3,5,6,9,10,11,13],[4,5,7,10,11,13,14]]; G[4339]:=Group([(1,5)(3,7)(4,6)(8,13)(9,10)]); # Design 4340: autom. group order 2, simple B[4340]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,13],[1,2,5,8,12,13,14],[1,3,6,7,9,13,14],[1,3,6,8,9,11,12],[1,4,5,6,11,12,14],[1,4,7,8,9,10,11],[1,4,7,9,12,13,14],[1,5,8,9,10,12,13],[1,6,7,8,10,11,14],[2,3,7,8,11,12,13],[2,3,7,9,10,12,14],[2,4,6,8,9,10,13],[2,4,6,8,11,13,14],[2,4,6,9,10,12,14],[2,5,6,7,9,11,12],[2,5,7,8,9,11,14],[3,4,5,7,8,10,14],[3,4,5,9,11,13,14],[3,4,6,7,8,12,13],[3,5,6,8,10,12,14],[3,5,6,9,10,11,13],[4,5,7,10,11,12,13]]; G[4340]:=Group([(1,5)(3,7)(4,6)(8,13)(9,10)]); # Design 4341: autom. group order 2, simple B[4341]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,13],[1,2,5,8,12,13,14],[1,3,6,7,9,13,14],[1,3,6,8,9,11,14],[1,4,5,6,11,12,14],[1,4,7,8,9,10,11],[1,4,7,9,12,13,14],[1,5,8,9,10,12,13],[1,6,7,8,10,11,12],[2,3,7,8,11,12,13],[2,3,7,9,10,12,14],[2,4,6,8,9,10,13],[2,4,6,8,11,13,14],[2,4,6,9,10,12,14],[2,5,6,7,9,11,12],[2,5,7,8,9,11,14],[3,4,5,7,8,10,14],[3,4,5,9,11,12,13],[3,4,6,7,8,12,13],[3,5,6,8,10,12,14],[3,5,6,9,10,11,13],[4,5,7,10,11,13,14]]; G[4341]:=Group([(1,5)(3,7)(4,6)(8,13)(9,10)]); # Design 4342: autom. group order 2, simple B[4342]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,13],[1,2,5,8,12,13,14],[1,3,6,7,9,13,14],[1,3,6,8,9,11,12],[1,4,5,6,11,12,14],[1,4,7,8,9,10,12],[1,4,7,9,11,13,14],[1,5,8,9,10,11,13],[1,6,7,8,10,12,14],[2,3,7,8,11,12,13],[2,3,7,9,10,12,14],[2,4,6,8,9,10,13],[2,4,6,8,12,13,14],[2,4,6,9,10,11,14],[2,5,6,7,9,11,12],[2,5,7,8,9,11,14],[3,4,5,7,8,10,14],[3,4,5,9,12,13,14],[3,4,6,7,8,11,13],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13],[4,5,7,10,11,12,13]]; G[4342]:=Group([(1,5)(3,7)(4,6)(8,13)(9,10)]); # Design 4343: autom. group order 2, simple B[4343]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,13],[1,2,5,8,12,13,14],[1,3,6,7,9,13,14],[1,3,6,8,9,11,14],[1,4,5,6,11,12,14],[1,4,7,8,9,10,12],[1,4,7,9,11,12,13],[1,5,8,9,10,11,13],[1,6,7,8,10,12,14],[2,3,7,8,11,12,13],[2,3,7,9,10,12,14],[2,4,6,8,9,10,13],[2,4,6,8,12,13,14],[2,4,6,9,10,11,14],[2,5,6,7,9,11,12],[2,5,7,8,9,11,14],[3,4,5,7,8,10,14],[3,4,5,9,12,13,14],[3,4,6,7,8,11,13],[3,5,6,8,10,11,12],[3,5,6,9,10,12,13],[4,5,7,10,11,13,14]]; G[4343]:=Group([(1,5)(3,7)(4,6)(8,13)(9,10)]); # Design 4344: autom. group order 2, simple B[4344]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,13],[1,2,5,8,12,13,14],[1,3,6,7,9,13,14],[1,3,6,8,9,11,12],[1,4,5,6,11,12,14],[1,4,7,8,9,10,12],[1,4,7,9,12,13,14],[1,5,8,9,10,11,13],[1,6,7,8,10,11,14],[2,3,7,8,11,12,13],[2,3,7,9,10,12,14],[2,4,6,8,9,10,13],[2,4,6,8,12,13,14],[2,4,6,9,10,11,14],[2,5,6,7,9,11,12],[2,5,7,8,9,11,14],[3,4,5,7,8,10,14],[3,4,5,9,11,13,14],[3,4,6,7,8,11,13],[3,5,6,8,10,12,14],[3,5,6,9,10,12,13],[4,5,7,10,11,12,13]]; G[4344]:=Group([(1,5)(3,7)(4,6)(8,13)(9,10)]); # Design 4345: autom. group order 2, simple B[4345]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,13],[1,2,5,8,12,13,14],[1,3,6,7,9,13,14],[1,3,6,8,9,11,14],[1,4,5,6,11,12,14],[1,4,7,8,9,10,12],[1,4,7,9,12,13,14],[1,5,8,9,10,11,13],[1,6,7,8,10,11,12],[2,3,7,8,11,12,13],[2,3,7,9,10,12,14],[2,4,6,8,9,10,13],[2,4,6,8,12,13,14],[2,4,6,9,10,11,14],[2,5,6,7,9,11,12],[2,5,7,8,9,11,14],[3,4,5,7,8,10,14],[3,4,5,9,11,12,13],[3,4,6,7,8,11,13],[3,5,6,8,10,12,14],[3,5,6,9,10,12,13],[4,5,7,10,11,13,14]]; G[4345]:=Group([(1,5)(3,7)(4,6)(8,13)(9,10)]); # Design 4346: autom. group order 2, simple B[4346]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,13],[1,2,5,8,12,13,14],[1,3,6,7,9,13,14],[1,3,6,8,9,12,14],[1,4,5,6,11,12,14],[1,4,7,8,9,10,11],[1,4,7,9,11,12,13],[1,5,8,9,10,12,13],[1,6,7,8,10,11,14],[2,3,7,8,11,12,13],[2,3,7,9,10,12,14],[2,4,6,8,9,10,13],[2,4,6,8,11,13,14],[2,4,6,9,10,12,14],[2,5,6,7,9,11,12],[2,5,7,8,9,11,14],[3,4,5,7,8,10,14],[3,4,5,9,11,13,14],[3,4,6,7,8,12,13],[3,5,6,8,10,11,12],[3,5,6,9,10,11,13],[4,5,7,10,12,13,14]]; G[4346]:=Group([(1,5)(3,7)(4,6)(8,13)(9,10)]); # Design 4347: autom. group order 2, simple B[4347]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,13],[1,2,5,8,12,13,14],[1,3,6,7,9,13,14],[1,3,6,8,9,12,14],[1,4,5,6,11,12,14],[1,4,7,8,9,10,11],[1,4,7,9,11,13,14],[1,5,8,9,10,12,13],[1,6,7,8,10,11,12],[2,3,7,8,11,12,13],[2,3,7,9,10,12,14],[2,4,6,8,9,10,13],[2,4,6,8,11,13,14],[2,4,6,9,10,12,14],[2,5,6,7,9,11,12],[2,5,7,8,9,11,14],[3,4,5,7,8,10,14],[3,4,5,9,11,12,13],[3,4,6,7,8,12,13],[3,5,6,8,10,11,14],[3,5,6,9,10,11,13],[4,5,7,10,12,13,14]]; G[4347]:=Group([(1,5)(3,7)(4,6)(8,13)(9,10)]); # Design 4348: autom. group order 2, simple B[4348]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,13],[1,2,5,8,12,13,14],[1,3,6,7,9,13,14],[1,3,6,8,9,12,14],[1,4,5,6,11,12,14],[1,4,7,8,9,10,12],[1,4,7,9,11,12,13],[1,5,8,9,10,11,13],[1,6,7,8,10,11,14],[2,3,7,8,11,12,13],[2,3,7,9,10,12,14],[2,4,6,8,9,10,13],[2,4,6,8,12,13,14],[2,4,6,9,10,11,14],[2,5,6,7,9,11,12],[2,5,7,8,9,11,14],[3,4,5,7,8,10,14],[3,4,5,9,11,13,14],[3,4,6,7,8,11,13],[3,5,6,8,10,11,12],[3,5,6,9,10,12,13],[4,5,7,10,12,13,14]]; G[4348]:=Group([(1,5)(3,7)(4,6)(8,13)(9,10)]); # Design 4349: autom. group order 2, simple B[4349]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,13],[1,2,5,8,12,13,14],[1,3,6,7,9,13,14],[1,3,6,8,9,12,14],[1,4,5,6,11,12,14],[1,4,7,8,9,10,12],[1,4,7,9,11,13,14],[1,5,8,9,10,11,13],[1,6,7,8,10,11,12],[2,3,7,8,11,12,13],[2,3,7,9,10,12,14],[2,4,6,8,9,10,13],[2,4,6,8,12,13,14],[2,4,6,9,10,11,14],[2,5,6,7,9,11,12],[2,5,7,8,9,11,14],[3,4,5,7,8,10,14],[3,4,5,9,11,12,13],[3,4,6,7,8,11,13],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13],[4,5,7,10,12,13,14]]; G[4349]:=Group([(1,5)(3,7)(4,6)(8,13)(9,10)]); # Design 4350: autom. group order 2, simple B[4350]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,12,13],[1,2,5,8,10,13,14],[1,3,6,7,8,12,14],[1,3,6,9,11,13,14],[1,4,5,7,9,11,14],[1,4,6,9,12,13,14],[1,4,7,8,9,10,13],[1,5,6,8,10,11,12],[1,7,8,9,10,11,12],[2,3,6,7,9,10,11],[2,3,7,8,9,12,13],[2,4,6,8,11,12,13],[2,4,6,9,10,12,14],[2,4,7,8,11,13,14],[2,5,6,8,9,10,14],[2,5,7,9,11,12,14],[3,4,5,8,11,12,14],[3,4,5,9,10,12,13],[3,4,6,7,8,10,14],[3,5,6,8,9,11,13],[3,5,7,10,12,13,14],[4,5,6,7,10,11,13]]; G[4350]:=Group([(2,10)(3,11)(4,12)(5,8)(6,9)]); # Design 4351: autom. group order 2, simple, residual B[4351]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,12,13],[1,2,5,8,10,13,14],[1,3,6,7,8,12,14],[1,3,6,9,11,13,14],[1,4,5,7,9,11,14],[1,4,6,9,12,13,14],[1,4,7,8,9,10,13],[1,5,6,8,10,11,12],[1,7,8,9,10,11,12],[2,3,6,7,9,10,11],[2,3,7,8,9,12,13],[2,4,6,8,11,12,14],[2,4,6,9,10,12,13],[2,4,7,8,11,13,14],[2,5,6,8,9,10,14],[2,5,7,9,11,12,14],[3,4,5,8,11,12,13],[3,4,5,9,10,12,14],[3,4,6,7,8,10,14],[3,5,6,8,9,11,13],[3,5,7,10,12,13,14],[4,5,6,7,10,11,13]]; G[4351]:=Group([(2,10)(3,11)(4,12)(5,8)(6,9)]); # Design 4352: autom. group order 2, simple, residual B[4352]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,12,13],[1,2,5,8,10,13,14],[1,3,6,7,8,12,14],[1,3,6,9,11,13,14],[1,4,5,7,9,11,14],[1,4,6,9,12,13,14],[1,4,7,8,9,10,13],[1,5,6,8,10,11,12],[1,7,8,9,10,11,12],[2,3,6,7,9,10,11],[2,3,7,8,9,12,14],[2,4,6,8,9,11,13],[2,4,6,8,11,12,14],[2,4,7,10,12,13,14],[2,5,6,8,9,10,14],[2,5,7,9,11,12,13],[3,4,5,8,11,12,13],[3,4,5,9,10,12,14],[3,4,6,7,8,10,13],[3,5,6,9,10,12,13],[3,5,7,8,11,13,14],[4,5,6,7,10,11,14]]; G[4352]:=Group([(2,10)(3,11)(4,12)(5,8)(6,9)]); # Design 4353: autom. group order 2, simple, residual B[4353]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,12,13,14],[1,2,5,7,8,10,13],[1,3,6,7,8,12,14],[1,3,6,9,11,13,14],[1,4,5,7,9,11,14],[1,4,6,7,9,12,13],[1,4,8,9,10,13,14],[1,5,6,8,10,11,12],[1,7,8,9,10,11,12],[2,3,6,7,9,10,11],[2,3,7,8,9,12,13],[2,4,6,8,11,12,13],[2,4,6,9,10,12,14],[2,4,7,8,11,13,14],[2,5,6,8,9,10,14],[2,5,7,9,11,12,14],[3,4,5,8,11,12,14],[3,4,5,9,10,12,13],[3,4,6,7,8,10,14],[3,5,6,8,9,11,13],[3,5,7,10,12,13,14],[4,5,6,7,10,11,13]]; G[4353]:=Group([(2,10)(3,11)(4,12)(5,8)(6,9)]); # Design 4354: autom. group order 2, simple, residual B[4354]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,12,13,14],[1,2,5,7,8,10,13],[1,3,6,7,8,12,14],[1,3,6,9,11,13,14],[1,4,5,7,9,11,14],[1,4,6,7,9,12,13],[1,4,8,9,10,13,14],[1,5,6,8,10,11,12],[1,7,8,9,10,11,12],[2,3,6,7,9,10,11],[2,3,7,8,9,12,13],[2,4,6,8,11,12,14],[2,4,6,9,10,12,13],[2,4,7,8,11,13,14],[2,5,6,8,9,10,14],[2,5,7,9,11,12,14],[3,4,5,8,11,12,13],[3,4,5,9,10,12,14],[3,4,6,7,8,10,14],[3,5,6,8,9,11,13],[3,5,7,10,12,13,14],[4,5,6,7,10,11,13]]; G[4354]:=Group([(2,10)(3,11)(4,12)(5,8)(6,9)]); # Design 4355: autom. group order 2, simple, residual B[4355]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,12,13,14],[1,2,5,7,8,10,13],[1,3,6,7,8,12,14],[1,3,6,9,11,13,14],[1,4,5,7,9,11,14],[1,4,6,7,9,12,13],[1,4,8,9,10,13,14],[1,5,6,8,10,11,12],[1,7,8,9,10,11,12],[2,3,6,7,9,10,11],[2,3,7,8,9,12,14],[2,4,6,8,11,12,14],[2,4,6,9,10,12,13],[2,4,7,8,11,13,14],[2,5,6,8,9,10,14],[2,5,7,9,11,12,13],[3,4,5,8,11,12,13],[3,4,5,9,10,12,14],[3,4,6,7,8,10,13],[3,5,6,8,9,11,13],[3,5,7,10,12,13,14],[4,5,6,7,10,11,14]]; G[4355]:=Group([(2,10)(3,11)(4,12)(5,8)(6,9)]); # Design 4356: autom. group order 2, simple B[4356]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,12,13,14],[1,2,5,7,8,10,13],[1,3,6,7,8,12,14],[1,3,6,9,11,13,14],[1,4,5,7,9,11,14],[1,4,6,7,9,12,13],[1,4,8,9,10,13,14],[1,5,6,8,10,11,12],[1,7,8,9,10,11,12],[2,3,6,7,9,10,11],[2,3,7,8,9,12,14],[2,4,6,8,9,11,13],[2,4,6,8,11,12,14],[2,4,7,10,12,13,14],[2,5,6,8,9,10,14],[2,5,7,9,11,12,13],[3,4,5,8,11,12,13],[3,4,5,9,10,12,14],[3,4,6,7,8,10,13],[3,5,6,9,10,12,13],[3,5,7,8,11,13,14],[4,5,6,7,10,11,14]]; G[4356]:=Group([(2,10)(3,11)(4,12)(5,8)(6,9)]); # Design 4357: autom. group order 2, simple, residual B[4357]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,12,13,14],[1,2,5,7,8,10,13],[1,3,6,7,8,12,14],[1,3,6,9,11,13,14],[1,4,5,8,9,11,14],[1,4,6,8,9,12,13],[1,4,7,9,10,13,14],[1,5,7,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,8,9,10,11],[2,3,7,8,9,12,13],[2,4,6,7,8,11,14],[2,4,6,9,10,12,13],[2,4,7,9,11,12,14],[2,5,6,7,9,10,14],[2,5,8,11,12,13,14],[3,4,5,6,10,12,14],[3,4,5,7,11,12,13],[3,4,7,8,10,13,14],[3,5,6,7,9,11,13],[3,5,8,9,10,12,14],[4,5,6,8,10,11,13]]; G[4357]:=Group([(2,10)(3,11)(4,12)(5,7)(6,9)]); # Design 4358: autom. group order 2, simple, residual B[4358]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,12,13,14],[1,2,5,7,8,10,13],[1,3,6,7,8,12,14],[1,3,6,9,11,13,14],[1,4,5,8,9,11,14],[1,4,6,8,9,12,13],[1,4,7,9,10,13,14],[1,5,7,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,8,9,10,11],[2,3,7,8,9,12,13],[2,4,6,7,8,11,14],[2,4,6,9,10,12,14],[2,4,7,9,11,12,13],[2,5,6,7,9,10,14],[2,5,8,11,12,13,14],[3,4,5,6,10,12,13],[3,4,5,7,11,12,14],[3,4,7,8,10,13,14],[3,5,6,7,9,11,13],[3,5,8,9,10,12,14],[4,5,6,8,10,11,13]]; G[4358]:=Group([(2,10)(3,11)(4,12)(5,7)(6,9)]); # Design 4359: autom. group order 2, simple, residual B[4359]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,12,13,14],[1,2,5,7,8,10,13],[1,3,6,7,8,12,14],[1,3,6,9,11,13,14],[1,4,5,8,9,11,14],[1,4,6,8,9,12,13],[1,4,7,9,10,13,14],[1,5,7,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,8,9,10,11],[2,3,7,8,9,12,14],[2,4,6,7,8,11,13],[2,4,6,9,10,12,13],[2,4,7,9,11,12,14],[2,5,6,7,9,10,14],[2,5,8,11,12,13,14],[3,4,5,6,10,12,14],[3,4,5,7,11,12,13],[3,4,7,8,10,13,14],[3,5,6,7,9,11,13],[3,5,8,9,10,12,13],[4,5,6,8,10,11,14]]; G[4359]:=Group([(2,10)(3,11)(4,12)(5,7)(6,9)]); # Design 4360: autom. group order 2, simple, residual B[4360]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,5,7,10,13,14],[1,3,6,7,8,12,14],[1,3,6,9,11,13,14],[1,4,5,8,9,11,14],[1,4,6,9,12,13,14],[1,4,7,8,9,10,13],[1,5,7,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,8,9,10,11],[2,3,7,8,9,12,13],[2,4,6,7,8,11,14],[2,4,6,9,10,12,13],[2,4,7,9,11,12,14],[2,5,6,7,9,10,14],[2,5,8,11,12,13,14],[3,4,5,6,10,12,14],[3,4,5,7,11,12,13],[3,4,7,8,10,13,14],[3,5,6,7,9,11,13],[3,5,8,9,10,12,14],[4,5,6,8,10,11,13]]; G[4360]:=Group([(2,10)(3,11)(4,12)(5,7)(6,9)]); # Design 4361: autom. group order 2, simple B[4361]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,5,7,10,13,14],[1,3,6,7,8,12,14],[1,3,6,9,11,13,14],[1,4,5,8,9,11,14],[1,4,6,9,12,13,14],[1,4,7,8,9,10,13],[1,5,7,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,8,9,10,11],[2,3,7,8,9,12,13],[2,4,6,7,8,11,14],[2,4,6,9,10,12,14],[2,4,7,9,11,12,13],[2,5,6,7,9,10,14],[2,5,8,11,12,13,14],[3,4,5,6,10,12,13],[3,4,5,7,11,12,14],[3,4,7,8,10,13,14],[3,5,6,7,9,11,13],[3,5,8,9,10,12,14],[4,5,6,8,10,11,13]]; G[4361]:=Group([(2,10)(3,11)(4,12)(5,7)(6,9)]); # Design 4362: autom. group order 2, simple, residual B[4362]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,5,7,10,13,14],[1,3,6,7,8,12,14],[1,3,6,9,11,13,14],[1,4,5,8,9,11,14],[1,4,6,9,12,13,14],[1,4,7,8,9,10,13],[1,5,7,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,8,9,10,11],[2,3,7,8,9,12,14],[2,4,6,7,8,11,13],[2,4,6,9,10,12,13],[2,4,7,9,11,12,14],[2,5,6,7,9,10,14],[2,5,8,11,12,13,14],[3,4,5,6,10,12,14],[3,4,5,7,11,12,13],[3,4,7,8,10,13,14],[3,5,6,7,9,11,13],[3,5,8,9,10,12,13],[4,5,6,8,10,11,14]]; G[4362]:=Group([(2,10)(3,11)(4,12)(5,7)(6,9)]); # Design 4363: autom. group order 2, simple B[4363]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,12,13,14],[1,2,5,7,8,10,13],[1,3,6,7,8,12,14],[1,3,6,9,11,13,14],[1,4,5,8,9,11,14],[1,4,6,8,9,12,13],[1,4,7,9,10,13,14],[1,5,7,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,8,9,10,11],[2,3,7,8,9,12,13],[2,4,6,7,8,11,14],[2,4,7,9,11,12,14],[2,4,8,10,12,13,14],[2,5,6,7,9,10,14],[2,5,6,9,11,12,13],[3,4,5,6,10,12,14],[3,4,5,7,11,12,13],[3,4,6,7,9,10,13],[3,5,7,8,11,13,14],[3,5,8,9,10,12,14],[4,5,6,8,10,11,13]]; G[4363]:=Group([(2,10)(3,11)(4,12)(5,7)(6,9)]); # Design 4364: autom. group order 2, simple B[4364]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,12,13,14],[1,2,5,7,8,10,13],[1,3,6,7,8,12,14],[1,3,6,9,11,13,14],[1,4,5,8,9,11,14],[1,4,6,8,9,12,13],[1,4,7,9,10,13,14],[1,5,7,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,8,9,10,11],[2,3,7,8,9,12,14],[2,4,6,7,8,11,13],[2,4,7,9,11,12,14],[2,4,8,10,12,13,14],[2,5,6,7,9,10,14],[2,5,6,9,11,12,13],[3,4,5,6,10,12,14],[3,4,5,7,11,12,13],[3,4,6,7,9,10,13],[3,5,7,8,11,13,14],[3,5,8,9,10,12,13],[4,5,6,8,10,11,14]]; G[4364]:=Group([(2,10)(3,11)(4,12)(5,7)(6,9)]); # Design 4365: autom. group order 2, simple, residual B[4365]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,5,7,10,13,14],[1,3,6,7,8,12,14],[1,3,6,9,11,13,14],[1,4,5,8,9,11,14],[1,4,6,9,12,13,14],[1,4,7,8,9,10,13],[1,5,7,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,8,9,10,11],[2,3,7,8,9,12,13],[2,4,6,7,8,11,14],[2,4,7,9,11,12,14],[2,4,8,10,12,13,14],[2,5,6,7,9,10,14],[2,5,6,9,11,12,13],[3,4,5,6,10,12,14],[3,4,5,7,11,12,13],[3,4,6,7,9,10,13],[3,5,7,8,11,13,14],[3,5,8,9,10,12,14],[4,5,6,8,10,11,13]]; G[4365]:=Group([(2,10)(3,11)(4,12)(5,7)(6,9)]); # Design 4366: autom. group order 2, simple, residual B[4366]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,5,7,10,13,14],[1,3,6,7,8,12,14],[1,3,6,9,11,13,14],[1,4,5,8,9,11,14],[1,4,6,9,12,13,14],[1,4,7,8,9,10,13],[1,5,7,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,8,9,10,11],[2,3,7,8,9,12,14],[2,4,6,7,8,11,13],[2,4,7,9,11,12,14],[2,4,8,10,12,13,14],[2,5,6,7,9,10,14],[2,5,6,9,11,12,13],[3,4,5,6,10,12,14],[3,4,5,7,11,12,13],[3,4,6,7,9,10,13],[3,5,7,8,11,13,14],[3,5,8,9,10,12,13],[4,5,6,8,10,11,14]]; G[4366]:=Group([(2,10)(3,11)(4,12)(5,7)(6,9)]); # Design 4367: autom. group order 2, simple, residual B[4367]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,12,13],[1,2,5,8,10,13,14],[1,3,6,8,9,12,14],[1,3,7,9,11,13,14],[1,4,5,6,9,11,14],[1,4,6,7,8,10,13],[1,4,7,9,12,13,14],[1,5,8,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,7,9,10,11],[2,3,6,8,9,12,13],[2,4,6,8,11,13,14],[2,4,6,9,10,12,14],[2,4,7,8,11,12,14],[2,5,7,8,9,10,14],[2,5,7,9,11,12,13],[3,4,5,7,10,12,14],[3,4,5,8,11,12,13],[3,4,7,8,9,10,13],[3,5,6,7,8,11,14],[3,5,6,10,12,13,14],[4,5,6,9,10,11,13]]; G[4367]:=Group([(2,10)(3,11)(4,12)(5,8)]); # Design 4368: autom. group order 2, simple, residual B[4368]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,12,13],[1,2,5,8,10,13,14],[1,3,6,8,9,12,14],[1,3,7,9,11,13,14],[1,4,5,6,9,11,14],[1,4,6,7,8,10,13],[1,4,7,9,12,13,14],[1,5,8,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,7,9,10,11],[2,3,6,8,12,13,14],[2,4,6,8,9,11,13],[2,4,6,9,10,12,14],[2,4,7,8,11,12,14],[2,5,7,8,9,10,14],[2,5,7,9,11,12,13],[3,4,5,7,10,12,14],[3,4,5,8,11,12,13],[3,4,7,8,9,10,13],[3,5,6,7,8,11,14],[3,5,6,9,10,12,13],[4,5,6,10,11,13,14]]; G[4368]:=Group([(2,10)(3,11)(4,12)(5,8)]); # Design 4369: autom. group order 2, simple, residual B[4369]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,12,13],[1,2,5,8,10,13,14],[1,3,6,8,9,12,14],[1,3,7,9,11,13,14],[1,4,5,6,9,11,14],[1,4,6,7,8,10,13],[1,4,7,9,12,13,14],[1,5,8,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,7,9,10,11],[2,3,6,8,9,12,13],[2,4,6,9,10,12,14],[2,4,7,8,9,11,13],[2,4,7,8,11,12,14],[2,5,6,11,12,13,14],[2,5,7,8,9,10,14],[3,4,5,7,10,12,14],[3,4,5,8,11,12,13],[3,4,6,8,10,13,14],[3,5,6,7,8,11,14],[3,5,7,9,10,12,13],[4,5,6,9,10,11,13]]; G[4369]:=Group([(2,10)(3,11)(4,12)(5,8)]); # Design 4370: autom. group order 2, simple, residual B[4370]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,12,13],[1,2,5,8,10,13,14],[1,3,6,8,9,12,14],[1,3,7,9,11,13,14],[1,4,5,6,9,11,14],[1,4,6,7,8,10,13],[1,4,7,9,12,13,14],[1,5,8,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,7,9,10,11],[2,3,6,8,12,13,14],[2,4,6,9,10,12,14],[2,4,7,8,9,11,13],[2,4,7,8,11,12,14],[2,5,6,9,11,12,13],[2,5,7,8,9,10,14],[3,4,5,7,10,12,14],[3,4,5,8,11,12,13],[3,4,6,8,9,10,13],[3,5,6,7,8,11,14],[3,5,7,9,10,12,13],[4,5,6,10,11,13,14]]; G[4370]:=Group([(2,10)(3,11)(4,12)(5,8)]); # Design 4371: autom. group order 2, simple B[4371]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,12,13,14],[1,2,5,7,8,10,13],[1,3,6,9,11,13,14],[1,3,7,8,9,12,14],[1,4,5,6,8,11,14],[1,4,6,8,9,12,13],[1,4,7,9,10,13,14],[1,5,7,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,7,9,12,13],[2,3,6,8,9,10,11],[2,4,6,7,11,12,14],[2,4,7,8,9,11,13],[2,4,8,10,12,13,14],[2,5,6,7,9,10,14],[2,5,8,9,11,12,14],[3,4,5,7,11,12,13],[3,4,5,9,10,12,14],[3,4,6,7,8,10,14],[3,5,6,8,10,12,13],[3,5,7,8,11,13,14],[4,5,6,9,10,11,13]]; G[4371]:=Group([(2,10)(3,11)(4,12)(5,7)(6,9)]); # Design 4372: autom. group order 2, simple B[4372]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,12,13,14],[1,2,5,7,8,10,13],[1,3,6,9,11,13,14],[1,3,7,8,9,12,14],[1,4,5,6,8,11,14],[1,4,6,8,9,12,13],[1,4,7,9,10,13,14],[1,5,7,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,7,9,12,13],[2,3,6,8,9,10,11],[2,4,6,7,11,12,14],[2,4,7,8,9,11,14],[2,4,8,10,12,13,14],[2,5,6,7,9,10,14],[2,5,8,9,11,12,13],[3,4,5,7,11,12,13],[3,4,5,9,10,12,14],[3,4,6,7,8,10,13],[3,5,6,8,10,12,14],[3,5,7,8,11,13,14],[4,5,6,9,10,11,13]]; G[4372]:=Group([(2,10)(3,11)(4,12)(5,7)(6,9)]); # Design 4373: autom. group order 2, simple, residual B[4373]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,5,7,10,13,14],[1,3,6,9,11,13,14],[1,3,7,8,9,12,14],[1,4,5,6,8,11,14],[1,4,6,9,12,13,14],[1,4,7,8,9,10,13],[1,5,7,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,7,9,12,13],[2,3,6,8,9,10,11],[2,4,6,7,11,12,14],[2,4,7,8,9,11,13],[2,4,8,10,12,13,14],[2,5,6,7,9,10,14],[2,5,8,9,11,12,14],[3,4,5,7,11,12,13],[3,4,5,9,10,12,14],[3,4,6,7,8,10,14],[3,5,6,8,10,12,13],[3,5,7,8,11,13,14],[4,5,6,9,10,11,13]]; G[4373]:=Group([(2,10)(3,11)(4,12)(5,7)(6,9)]); # Design 4374: autom. group order 2, simple, residual B[4374]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,5,7,10,13,14],[1,3,6,9,11,13,14],[1,3,7,8,9,12,14],[1,4,5,6,8,11,14],[1,4,6,9,12,13,14],[1,4,7,8,9,10,13],[1,5,7,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,7,9,12,13],[2,3,6,8,9,10,11],[2,4,6,7,11,12,14],[2,4,7,8,9,11,14],[2,4,8,10,12,13,14],[2,5,6,7,9,10,14],[2,5,8,9,11,12,13],[3,4,5,7,11,12,13],[3,4,5,9,10,12,14],[3,4,6,7,8,10,13],[3,5,6,8,10,12,14],[3,5,7,8,11,13,14],[4,5,6,9,10,11,13]]; G[4374]:=Group([(2,10)(3,11)(4,12)(5,7)(6,9)]); # Design 4375: autom. group order 2, simple, residual B[4375]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,5,9,10,13,14],[1,3,6,7,9,12,14],[1,3,7,8,11,13,14],[1,4,5,6,8,11,14],[1,4,6,7,9,10,13],[1,4,7,8,12,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,7,8,10,11],[2,3,6,9,12,13,14],[2,4,6,7,9,11,13],[2,4,7,8,10,12,13],[2,4,8,9,11,12,14],[2,5,6,7,11,12,14],[2,5,7,8,9,10,14],[3,4,5,7,10,12,14],[3,4,5,9,11,12,13],[3,4,6,8,9,10,14],[3,5,6,8,10,12,13],[3,5,7,8,9,11,13],[4,5,6,10,11,13,14]]; G[4375]:=Group([(2,10)(3,11)(4,12)(5,9)(7,8)]); # Design 4376: autom. group order 2, simple, residual B[4376]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,5,9,12,13,14],[1,3,6,7,8,12,14],[1,3,7,9,11,13,14],[1,4,5,6,9,11,14],[1,4,6,7,9,12,13],[1,4,7,8,10,13,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,6,7,9,10,11],[2,3,6,8,12,13,14],[2,4,6,7,8,11,13],[2,4,7,9,10,12,13],[2,4,8,9,11,12,14],[2,5,6,7,11,12,14],[2,5,7,8,9,10,14],[3,4,5,7,10,12,14],[3,4,5,8,11,12,13],[3,4,6,8,9,10,14],[3,5,6,9,10,12,13],[3,5,7,8,9,11,13],[4,5,6,10,11,13,14]]; G[4376]:=Group([(2,10)(3,11)(4,12)(5,8)(7,9)]); # Design 4377: autom. group order 2, simple, residual B[4377]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,5,9,12,13,14],[1,3,6,7,8,12,14],[1,3,7,9,11,13,14],[1,4,5,6,9,11,14],[1,4,6,7,9,12,13],[1,4,7,8,10,13,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,6,7,9,10,11],[2,3,6,8,12,13,14],[2,4,6,7,8,11,14],[2,4,7,9,10,12,13],[2,4,8,9,11,12,14],[2,5,6,7,11,12,13],[2,5,7,8,9,10,14],[3,4,5,7,10,12,14],[3,4,5,8,11,12,13],[3,4,6,8,9,10,13],[3,5,6,9,10,12,14],[3,5,7,8,9,11,13],[4,5,6,10,11,13,14]]; G[4377]:=Group([(2,10)(3,11)(4,12)(5,8)(7,9)]); # Design 4378: autom. group order 2, simple, residual B[4378]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,12,13],[1,2,5,8,10,13,14],[1,3,6,8,9,12,14],[1,3,7,9,11,13,14],[1,4,5,6,9,11,14],[1,4,6,7,8,10,13],[1,4,7,9,12,13,14],[1,5,8,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,7,9,10,11],[2,3,7,8,9,12,13],[2,4,6,8,9,11,13],[2,4,6,9,10,12,14],[2,4,7,8,11,12,14],[2,5,6,11,12,13,14],[2,5,7,8,9,10,14],[3,4,5,7,10,12,14],[3,4,5,8,11,12,13],[3,4,6,8,10,13,14],[3,5,6,7,8,11,14],[3,5,6,9,10,12,13],[4,5,7,9,10,11,13]]; G[4378]:=Group([(2,10)(3,11)(4,12)(5,8)]); # Design 4379: autom. group order 2, simple, residual B[4379]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,12,13],[1,2,5,8,10,13,14],[1,3,6,8,9,12,14],[1,3,7,9,11,13,14],[1,4,5,6,9,11,14],[1,4,6,7,8,10,13],[1,4,7,9,12,13,14],[1,5,8,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,7,9,10,11],[2,3,7,8,9,12,13],[2,4,6,8,11,13,14],[2,4,6,9,10,12,14],[2,4,7,8,11,12,14],[2,5,6,9,11,12,13],[2,5,7,8,9,10,14],[3,4,5,7,10,12,14],[3,4,5,8,11,12,13],[3,4,6,8,9,10,13],[3,5,6,7,8,11,14],[3,5,6,10,12,13,14],[4,5,7,9,10,11,13]]; G[4379]:=Group([(2,10)(3,11)(4,12)(5,8)]); # Design 4380: autom. group order 2, simple, residual B[4380]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,13],[1,2,5,8,9,12,13],[1,3,6,8,10,13,14],[1,3,7,9,11,12,13],[1,4,5,6,11,12,14],[1,4,7,8,9,10,14],[1,4,7,9,11,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,10,12],[2,3,6,7,9,12,14],[2,3,6,8,9,11,14],[2,4,6,7,12,13,14],[2,4,6,8,9,11,13],[2,4,7,8,10,11,12],[2,5,7,8,10,11,14],[2,5,9,10,12,13,14],[3,4,5,7,8,13,14],[3,4,5,9,10,12,14],[3,4,6,8,10,12,13],[3,5,6,7,9,10,11],[3,5,7,8,11,12,13],[4,5,6,9,10,11,13]]; G[4380]:=Group([(1,11)(2,9)(3,13)(5,6)(7,10)(12,14)]); # Design 4381: autom. group order 2, simple B[4381]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,7,10,12,13],[1,2,6,8,10,11,14],[1,3,5,9,11,12,14],[1,3,7,8,9,11,13],[1,4,5,9,10,12,14],[1,4,6,8,12,13,14],[1,4,7,8,9,10,13],[1,5,6,8,11,12,13],[1,6,7,9,10,11,14],[2,3,6,9,11,12,13],[2,3,8,9,10,12,14],[2,4,5,8,11,13,14],[2,4,6,9,10,12,13],[2,4,7,9,11,13,14],[2,5,6,7,8,9,14],[2,5,7,8,10,11,12],[3,4,5,10,11,13,14],[3,4,6,7,8,12,14],[3,4,7,8,10,11,12],[3,5,6,7,10,13,14],[3,5,6,8,9,10,13],[4,5,6,7,9,11,12]]; G[4381]:=Group([(2,6)(3,11)(4,10)(5,14)(7,8)]); # Design 4382: autom. group order 2, simple B[4382]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,7,10,12,13],[1,2,6,8,10,11,14],[1,3,5,9,11,12,14],[1,3,7,8,9,11,13],[1,4,5,9,10,12,14],[1,4,6,8,12,13,14],[1,4,7,8,9,10,13],[1,5,6,8,11,12,13],[1,6,7,9,10,11,14],[2,3,6,9,11,12,13],[2,3,8,9,10,13,14],[2,4,5,8,11,13,14],[2,4,6,9,10,12,13],[2,4,7,9,11,12,14],[2,5,6,7,8,9,14],[2,5,7,8,10,11,12],[3,4,5,10,11,13,14],[3,4,6,7,8,12,14],[3,4,7,8,10,11,12],[3,5,6,7,10,13,14],[3,5,6,8,9,10,12],[4,5,6,7,9,11,13]]; G[4382]:=Group([(2,6)(3,11)(4,10)(5,14)(7,8)]); # Design 4383: autom. group order 2, simple B[4383]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,7,10,12,13],[1,2,6,8,10,11,14],[1,3,5,9,11,12,14],[1,3,7,8,9,11,13],[1,4,5,9,10,13,14],[1,4,6,8,12,13,14],[1,4,7,8,9,10,12],[1,5,6,8,11,12,13],[1,6,7,9,10,11,14],[2,3,6,9,11,12,13],[2,3,8,9,10,13,14],[2,4,5,8,11,12,14],[2,4,6,9,10,12,13],[2,4,7,9,11,12,14],[2,5,6,7,8,9,14],[2,5,7,8,10,11,13],[3,4,5,10,11,13,14],[3,4,6,7,8,13,14],[3,4,7,8,10,11,12],[3,5,6,7,10,12,14],[3,5,6,8,9,10,12],[4,5,6,7,9,11,13]]; G[4383]:=Group([(2,6)(3,11)(4,10)(5,14)(7,8)]); # Design 4384: autom. group order 2, simple B[4384]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,7,10,12,13],[1,2,6,8,10,11,14],[1,3,5,9,11,12,14],[1,3,7,8,9,11,13],[1,4,5,9,10,13,14],[1,4,6,8,12,13,14],[1,4,7,8,9,10,12],[1,5,6,8,11,12,13],[1,6,7,9,10,11,14],[2,3,6,9,11,12,13],[2,3,8,9,10,13,14],[2,4,5,8,11,13,14],[2,4,6,9,10,12,13],[2,4,7,9,11,12,14],[2,5,6,7,8,9,14],[2,5,7,8,10,11,12],[3,4,5,10,11,12,14],[3,4,6,7,8,12,14],[3,4,7,8,10,11,13],[3,5,6,7,10,13,14],[3,5,6,8,9,10,12],[4,5,6,7,9,11,13]]; G[4384]:=Group([(2,6)(3,11)(4,10)(5,14)(7,8)]); # Design 4385: autom. group order 2, simple B[4385]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,6,8,10,11,14],[1,3,5,9,11,12,14],[1,3,7,8,9,11,13],[1,4,5,9,10,12,14],[1,4,6,7,12,13,14],[1,4,7,8,9,10,13],[1,5,6,8,11,12,13],[1,6,7,9,10,11,14],[2,3,6,9,11,12,13],[2,3,7,8,10,12,14],[2,4,5,7,11,13,14],[2,4,6,9,10,12,13],[2,4,8,9,11,12,14],[2,5,6,7,8,9,14],[2,5,7,9,10,11,13],[3,4,5,10,11,13,14],[3,4,6,8,9,13,14],[3,4,7,8,10,11,12],[3,5,6,7,9,10,12],[3,5,6,8,10,13,14],[4,5,6,7,8,11,12]]; G[4385]:=Group([(2,6)(3,11)(4,10)(5,14)(7,8)]); # Design 4386: autom. group order 2, simple B[4386]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,6,8,10,11,14],[1,3,5,9,11,12,14],[1,3,7,8,9,11,13],[1,4,5,9,10,13,14],[1,4,6,7,12,13,14],[1,4,7,8,9,10,12],[1,5,6,8,11,12,13],[1,6,7,9,10,11,14],[2,3,6,9,11,12,13],[2,3,7,8,10,12,14],[2,4,5,7,11,13,14],[2,4,6,9,10,12,13],[2,4,8,9,11,12,14],[2,5,6,7,8,9,14],[2,5,7,9,10,11,13],[3,4,5,10,11,12,14],[3,4,6,8,9,13,14],[3,4,7,8,10,11,13],[3,5,6,7,9,10,12],[3,5,6,8,10,13,14],[4,5,6,7,8,11,12]]; G[4386]:=Group([(2,6)(3,11)(4,10)(5,14)(7,8)]); # Design 4387: autom. group order 2, simple B[4387]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,6,8,10,11,14],[1,3,5,9,11,12,14],[1,3,7,8,9,11,13],[1,4,5,9,10,13,14],[1,4,6,7,12,13,14],[1,4,7,8,9,10,12],[1,5,6,8,11,12,13],[1,6,7,9,10,11,14],[2,3,6,9,11,12,13],[2,3,7,8,10,13,14],[2,4,5,7,11,12,14],[2,4,6,9,10,12,13],[2,4,8,9,11,12,14],[2,5,6,7,8,9,14],[2,5,7,9,10,11,13],[3,4,5,10,11,13,14],[3,4,6,8,9,13,14],[3,4,7,8,10,11,12],[3,5,6,7,9,10,12],[3,5,6,8,10,12,14],[4,5,6,7,8,11,13]]; G[4387]:=Group([(2,6)(3,11)(4,10)(5,14)(7,8)]); # Design 4388: autom. group order 2, simple B[4388]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,6,8,10,11,14],[1,3,5,9,11,12,14],[1,3,7,8,9,11,13],[1,4,5,9,10,13,14],[1,4,6,7,12,13,14],[1,4,7,8,9,10,12],[1,5,6,8,11,12,13],[1,6,7,9,10,11,14],[2,3,6,9,11,12,13],[2,3,7,8,10,13,14],[2,4,5,7,11,12,14],[2,4,6,9,10,12,13],[2,4,8,9,11,13,14],[2,5,6,7,8,9,14],[2,5,7,9,10,11,12],[3,4,5,10,11,13,14],[3,4,6,8,9,12,14],[3,4,7,8,10,11,12],[3,5,6,7,9,10,13],[3,5,6,8,10,12,14],[4,5,6,7,8,11,13]]; G[4388]:=Group([(2,6)(3,11)(4,10)(5,14)(7,8)]); # Design 4389: autom. group order 2, simple B[4389]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,10,12,13,14],[1,2,5,7,11,12,13],[1,2,6,8,11,12,14],[1,3,5,9,11,13,14],[1,3,7,9,10,11,14],[1,4,5,8,9,10,12],[1,4,6,7,10,12,13],[1,4,7,8,9,12,14],[1,5,6,8,10,13,14],[1,6,7,8,9,11,13],[2,3,6,8,9,12,13],[2,3,7,8,9,10,13],[2,4,5,8,11,13,14],[2,4,6,7,9,13,14],[2,4,7,8,10,11,14],[2,5,6,9,10,12,14],[2,5,7,9,10,11,12],[3,4,5,7,12,13,14],[3,4,6,9,11,12,14],[3,4,8,10,11,12,13],[3,5,6,7,8,10,14],[3,5,6,7,8,11,12],[4,5,6,9,10,11,13]]; G[4389]:=Group([(2,8)(3,9)(6,12)(7,10)(11,14)]); # Design 4390: autom. group order 2, simple B[4390]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,12,13,14],[1,2,5,7,10,12,13],[1,2,6,8,10,11,14],[1,3,5,9,11,12,14],[1,3,7,8,9,11,13],[1,4,5,9,10,12,14],[1,4,6,8,12,13,14],[1,4,7,8,9,10,13],[1,5,6,7,11,12,13],[1,6,7,9,10,11,14],[2,3,6,9,11,12,13],[2,3,7,9,10,12,14],[2,4,5,7,11,13,14],[2,4,6,9,10,12,13],[2,4,7,8,11,12,14],[2,5,6,7,8,9,14],[2,5,8,9,10,11,13],[3,4,5,10,11,13,14],[3,4,6,7,9,13,14],[3,4,7,8,10,11,12],[3,5,6,7,8,10,12],[3,5,6,8,10,13,14],[4,5,6,8,9,11,12]]; G[4390]:=Group([(2,6)(3,11)(4,10)(5,14)(7,8)]); # Design 4391: autom. group order 2, simple B[4391]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,12,13,14],[1,2,5,7,10,12,13],[1,2,6,8,10,11,14],[1,3,5,9,11,12,14],[1,3,7,8,9,11,13],[1,4,5,9,10,12,14],[1,4,6,8,12,13,14],[1,4,7,8,9,10,13],[1,5,6,7,11,12,13],[1,6,7,9,10,11,14],[2,3,6,9,11,12,13],[2,3,7,9,10,13,14],[2,4,5,7,11,13,14],[2,4,6,9,10,12,13],[2,4,7,8,11,12,14],[2,5,6,7,8,9,14],[2,5,8,9,10,11,12],[3,4,5,10,11,13,14],[3,4,6,7,9,12,14],[3,4,7,8,10,11,12],[3,5,6,7,8,10,12],[3,5,6,8,10,13,14],[4,5,6,8,9,11,13]]; G[4391]:=Group([(2,6)(3,11)(4,10)(5,14)(7,8)]); # Design 4392: autom. group order 2, simple B[4392]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,12,13,14],[1,2,5,7,10,12,13],[1,2,6,8,10,11,14],[1,3,5,9,11,12,14],[1,3,7,8,9,11,13],[1,4,5,9,10,13,14],[1,4,6,8,12,13,14],[1,4,7,8,9,10,12],[1,5,6,7,11,12,13],[1,6,7,9,10,11,14],[2,3,6,9,11,12,13],[2,3,7,9,10,12,14],[2,4,5,7,11,13,14],[2,4,6,9,10,12,13],[2,4,7,8,11,12,14],[2,5,6,7,8,9,14],[2,5,8,9,10,11,13],[3,4,5,10,11,12,14],[3,4,6,7,9,13,14],[3,4,7,8,10,11,13],[3,5,6,7,8,10,12],[3,5,6,8,10,13,14],[4,5,6,8,9,11,12]]; G[4392]:=Group([(2,6)(3,11)(4,10)(5,14)(7,8)]); # Design 4393: autom. group order 2, simple B[4393]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,12,13,14],[1,2,5,7,10,12,13],[1,2,6,8,10,11,14],[1,3,5,9,11,12,14],[1,3,7,8,9,11,13],[1,4,5,9,10,13,14],[1,4,6,8,12,13,14],[1,4,7,8,9,10,12],[1,5,6,7,11,12,13],[1,6,7,9,10,11,14],[2,3,6,9,11,12,13],[2,3,7,9,10,13,14],[2,4,5,7,11,12,14],[2,4,6,9,10,12,13],[2,4,7,8,11,13,14],[2,5,6,7,8,9,14],[2,5,8,9,10,11,12],[3,4,5,10,11,13,14],[3,4,6,7,9,12,14],[3,4,7,8,10,11,12],[3,5,6,7,8,10,13],[3,5,6,8,10,12,14],[4,5,6,8,9,11,13]]; G[4393]:=Group([(2,6)(3,11)(4,10)(5,14)(7,8)]); # Design 4394: autom. group order 2, simple B[4394]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,12,13,14],[1,2,5,7,10,12,13],[1,2,6,8,10,11,14],[1,3,5,9,11,12,14],[1,3,7,8,9,11,13],[1,4,5,9,10,13,14],[1,4,6,8,12,13,14],[1,4,7,8,9,10,12],[1,5,6,7,11,12,13],[1,6,7,9,10,11,14],[2,3,6,9,11,12,13],[2,3,7,9,10,13,14],[2,4,5,7,11,13,14],[2,4,6,9,10,12,13],[2,4,7,8,11,12,14],[2,5,6,7,8,9,14],[2,5,8,9,10,11,12],[3,4,5,10,11,12,14],[3,4,6,7,9,12,14],[3,4,7,8,10,11,13],[3,5,6,7,8,10,12],[3,5,6,8,10,13,14],[4,5,6,8,9,11,13]]; G[4394]:=Group([(2,6)(3,11)(4,10)(5,14)(7,8)]); # Design 4395: autom. group order 2, simple B[4395]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,12,13,14],[1,2,5,9,10,12,13],[1,2,6,10,11,12,14],[1,3,5,7,11,12,14],[1,3,7,9,11,12,13],[1,4,5,8,10,13,14],[1,4,6,7,9,13,14],[1,4,7,8,9,10,12],[1,5,6,7,8,11,13],[1,6,8,9,10,11,14],[2,3,6,8,9,11,13],[2,3,7,9,10,13,14],[2,4,5,9,11,12,14],[2,4,6,7,10,12,13],[2,4,7,8,9,11,14],[2,5,6,7,8,12,14],[2,5,7,8,10,11,13],[3,4,5,10,11,13,14],[3,4,6,8,12,13,14],[3,4,7,8,10,11,12],[3,5,6,7,9,10,14],[3,5,6,8,9,10,12],[4,5,6,9,11,12,13]]; G[4395]:=Group([(2,6)(3,11)(4,10)(5,14)(7,12)]); # Design 4396: autom. group order 2, simple B[4396]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,12,13,14],[1,2,5,9,10,12,13],[1,2,6,10,11,12,14],[1,3,5,7,11,12,14],[1,3,7,9,11,12,13],[1,4,5,8,10,13,14],[1,4,6,7,9,13,14],[1,4,7,8,9,10,12],[1,5,6,7,8,11,13],[1,6,8,9,10,11,14],[2,3,6,8,9,11,13],[2,3,7,9,10,13,14],[2,4,5,9,11,12,14],[2,4,6,7,10,12,13],[2,4,7,8,11,13,14],[2,5,6,7,8,12,14],[2,5,7,8,9,10,11],[3,4,5,10,11,13,14],[3,4,6,8,9,12,14],[3,4,7,8,10,11,12],[3,5,6,7,9,10,14],[3,5,6,8,10,12,13],[4,5,6,9,11,12,13]]; G[4396]:=Group([(2,6)(3,11)(4,10)(5,14)(7,12)]); # Design 4397: autom. group order 2, simple B[4397]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,12,13,14],[1,2,5,9,10,12,13],[1,2,6,10,11,12,14],[1,3,5,7,11,12,14],[1,3,7,9,11,12,13],[1,4,5,8,10,13,14],[1,4,6,7,9,13,14],[1,4,7,8,9,10,12],[1,5,6,7,8,11,13],[1,6,8,9,10,11,14],[2,3,6,8,9,11,13],[2,3,7,8,10,13,14],[2,4,5,9,11,12,14],[2,4,6,7,10,12,13],[2,4,7,9,11,13,14],[2,5,6,7,8,12,14],[2,5,7,8,9,10,11],[3,4,5,10,11,13,14],[3,4,6,8,9,12,14],[3,4,7,8,10,11,12],[3,5,6,7,9,10,14],[3,5,6,9,10,12,13],[4,5,6,8,11,12,13]]; G[4397]:=Group([(2,6)(3,11)(4,10)(5,14)(7,12)]); # Design 4398: autom. group order 2, simple B[4398]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,10,12,13,14],[1,2,5,8,11,12,13],[1,2,6,8,11,12,14],[1,3,5,7,12,13,14],[1,3,7,9,10,11,12],[1,4,5,8,9,10,14],[1,4,6,7,10,13,14],[1,4,7,8,9,12,14],[1,5,6,9,10,11,13],[1,6,7,8,9,11,13],[2,3,6,8,9,13,14],[2,3,7,8,9,10,13],[2,4,5,7,11,13,14],[2,4,6,7,9,12,13],[2,4,7,8,10,11,12],[2,5,6,9,10,12,14],[2,5,7,9,10,11,14],[3,4,5,9,11,12,13],[3,4,6,9,11,12,14],[3,4,8,10,11,13,14],[3,5,6,7,8,10,12],[3,5,6,7,8,11,14],[4,5,6,8,10,12,13]]; G[4398]:=Group([(2,8)(3,9)(6,14)(7,10)(11,12)]); # Design 4399: autom. group order 2, simple B[4399]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,10,12,13,14],[1,2,5,8,9,12,13],[1,2,6,8,11,12,14],[1,3,5,7,9,12,14],[1,3,7,8,10,11,13],[1,4,5,8,10,11,14],[1,4,6,9,10,12,13],[1,4,7,9,11,13,14],[1,5,6,7,11,12,13],[1,6,7,8,9,10,14],[2,3,6,9,11,13,14],[2,3,7,9,10,11,12],[2,4,5,7,11,13,14],[2,4,6,7,8,12,13],[2,4,7,8,10,12,14],[2,5,6,7,9,10,14],[2,5,8,9,10,11,13],[3,4,5,10,12,13,14],[3,4,6,8,9,13,14],[3,4,7,8,9,11,12],[3,5,6,7,8,10,13],[3,5,6,8,11,12,14],[4,5,6,9,10,11,12]]; G[4399]:=Group([(1,5)(3,9)(4,8)(6,13)(7,12)]); # Design 4400: autom. group order 2, simple B[4400]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,10,12,13,14],[1,2,5,8,9,12,13],[1,2,6,8,11,12,14],[1,3,5,7,9,12,14],[1,3,7,8,10,13,14],[1,4,5,8,10,11,14],[1,4,6,9,10,12,13],[1,4,7,9,11,13,14],[1,5,6,7,11,12,13],[1,6,7,8,9,10,11],[2,3,6,9,11,13,14],[2,3,7,9,10,11,12],[2,4,5,7,11,13,14],[2,4,6,7,8,12,13],[2,4,7,8,10,12,14],[2,5,6,7,9,10,14],[2,5,8,9,10,11,13],[3,4,5,10,11,12,13],[3,4,6,8,9,13,14],[3,4,7,8,9,11,12],[3,5,6,7,8,10,13],[3,5,6,8,11,12,14],[4,5,6,9,10,12,14]]; G[4400]:=Group([(1,5)(3,9)(4,8)(6,13)(7,12)]); # Design 4401: autom. group order 2, simple B[4401]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,10,12,13,14],[1,2,5,8,9,12,13],[1,2,6,8,11,12,14],[1,3,5,7,9,12,14],[1,3,7,8,11,13,14],[1,4,5,8,10,11,14],[1,4,6,9,10,12,13],[1,4,7,9,10,13,14],[1,5,6,7,11,12,13],[1,6,7,8,9,10,11],[2,3,6,9,11,13,14],[2,3,7,9,10,11,12],[2,4,5,7,11,13,14],[2,4,6,7,8,12,13],[2,4,7,8,10,12,14],[2,5,6,7,9,10,14],[2,5,8,9,10,11,13],[3,4,5,10,11,12,13],[3,4,6,8,9,13,14],[3,4,7,8,9,11,12],[3,5,6,7,8,10,13],[3,5,6,8,10,12,14],[4,5,6,9,11,12,14]]; G[4401]:=Group([(1,5)(3,9)(4,8)(6,13)(7,12)]); # Design 4402: autom. group order 2, simple B[4402]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,10,12,13,14],[1,2,5,7,12,13,14],[1,2,6,8,11,12,13],[1,3,5,9,11,12,14],[1,3,7,9,10,11,12],[1,4,5,8,9,10,13],[1,4,6,7,10,13,14],[1,4,7,8,9,12,13],[1,5,6,8,10,11,14],[1,6,7,8,9,11,14],[2,3,6,8,9,13,14],[2,3,7,8,9,10,14],[2,4,5,8,11,12,14],[2,4,7,8,10,11,12],[2,4,9,10,11,13,14],[2,5,6,7,9,10,12],[2,5,6,7,9,11,13],[3,4,5,7,11,13,14],[3,4,6,7,8,12,14],[3,4,6,9,11,12,13],[3,5,6,8,10,12,13],[3,5,7,8,10,11,13],[4,5,6,9,10,12,14]]; G[4402]:=Group([(2,8)(3,9)(6,13)(7,10)(11,12)]); # Design 4403: autom. group order 2, simple B[4403]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,10,12,13,14],[1,2,5,8,11,12,13],[1,2,6,8,11,12,14],[1,3,5,7,11,13,14],[1,3,7,9,10,11,12],[1,4,5,8,9,10,14],[1,4,6,7,10,13,14],[1,4,7,8,9,12,14],[1,5,6,9,10,12,13],[1,6,7,8,9,11,13],[2,3,6,8,9,13,14],[2,3,7,8,9,10,13],[2,4,5,7,12,13,14],[2,4,7,8,10,11,12],[2,4,9,10,11,13,14],[2,5,6,7,9,10,12],[2,5,6,7,9,11,14],[3,4,5,9,11,12,13],[3,4,6,7,8,12,13],[3,4,6,9,11,12,14],[3,5,6,8,10,12,14],[3,5,7,8,10,11,14],[4,5,6,8,10,11,13]]; G[4403]:=Group([(2,8)(3,9)(6,14)(7,10)(11,12)]); # Design 4404: autom. group order 2, simple B[4404]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,10,13,14],[1,3,5,7,11,13,14],[1,3,7,9,11,12,14],[1,4,5,10,11,12,13],[1,4,6,8,10,12,14],[1,4,6,9,11,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,10,13,14],[2,4,6,7,9,12,14],[2,4,7,9,11,12,13],[2,5,6,7,8,11,12],[2,5,6,8,11,13,14],[3,4,5,8,11,12,14],[3,4,6,7,8,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,13],[3,5,6,9,10,12,14],[4,5,7,8,9,10,11]]; G[4404]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4405: autom. group order 2, simple B[4405]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,10,13,14],[1,3,5,7,11,13,14],[1,3,7,9,11,12,14],[1,4,5,10,11,12,13],[1,4,6,8,10,12,14],[1,4,6,9,11,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,10,13,14],[2,4,6,7,9,12,14],[2,4,7,9,11,12,13],[2,5,6,7,8,11,13],[2,5,6,8,11,12,14],[3,4,5,8,11,12,14],[3,4,6,7,8,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,12],[3,5,6,9,10,13,14],[4,5,7,8,9,10,11]]; G[4405]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4406: autom. group order 2, simple B[4406]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,10,13,14],[1,3,5,7,11,13,14],[1,3,7,9,11,12,14],[1,4,5,10,11,12,13],[1,4,6,8,10,12,14],[1,4,6,9,11,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,11,12,14],[2,4,6,7,9,13,14],[2,4,7,9,10,12,13],[2,5,6,7,8,11,12],[2,5,6,8,11,13,14],[3,4,5,8,10,13,14],[3,4,6,7,8,12,14],[3,4,7,8,11,12,13],[3,5,6,7,9,10,13],[3,5,6,9,10,12,14],[4,5,7,8,9,10,11]]; G[4406]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4407: autom. group order 2, simple B[4407]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,10,13,14],[1,3,5,7,11,13,14],[1,3,7,9,11,12,14],[1,4,5,10,11,12,13],[1,4,6,8,10,12,14],[1,4,6,9,11,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,11,12,14],[2,4,6,7,9,13,14],[2,4,7,9,10,12,13],[2,5,6,7,8,11,13],[2,5,6,8,11,12,14],[3,4,5,8,10,13,14],[3,4,6,7,8,12,14],[3,4,7,8,11,12,13],[3,5,6,7,9,10,12],[3,5,6,9,10,13,14],[4,5,7,8,9,10,11]]; G[4407]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4408: autom. group order 2, simple B[4408]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,12,14],[1,3,5,7,11,13,14],[1,3,7,9,10,13,14],[1,4,5,10,11,12,13],[1,4,6,8,10,12,14],[1,4,6,9,11,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,10,13,14],[2,4,6,7,9,12,14],[2,4,7,9,11,12,13],[2,5,6,7,8,10,13],[2,5,6,8,11,13,14],[3,4,5,8,11,12,14],[3,4,6,7,8,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,11,12],[3,5,6,9,10,12,14],[4,5,7,8,9,10,11]]; G[4408]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4409: autom. group order 2, simple B[4409]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,13,14],[1,3,5,7,11,13,14],[1,3,7,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,8,10,12,14],[1,4,6,9,11,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,10,13,14],[2,4,6,7,9,12,14],[2,4,7,9,11,12,13],[2,5,6,7,8,10,13],[2,5,6,8,11,12,14],[3,4,5,8,11,12,14],[3,4,6,7,8,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,11,12],[3,5,6,9,10,13,14],[4,5,7,8,9,10,11]]; G[4409]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4410: autom. group order 2, simple B[4410]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,12,14],[1,3,5,7,11,13,14],[1,3,7,9,10,13,14],[1,4,5,10,11,12,13],[1,4,6,8,10,12,14],[1,4,6,9,11,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,10,13,14],[2,4,6,7,9,12,14],[2,4,7,9,11,12,13],[2,5,6,7,8,11,13],[2,5,6,8,10,13,14],[3,4,5,8,11,12,14],[3,4,6,7,8,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,12],[3,5,6,9,11,12,14],[4,5,7,8,9,10,11]]; G[4410]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4411: autom. group order 2, simple B[4411]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,13,14],[1,3,5,7,11,13,14],[1,3,7,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,8,10,12,14],[1,4,6,9,11,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,10,13,14],[2,4,6,7,9,12,14],[2,4,7,9,11,12,13],[2,5,6,7,8,11,12],[2,5,6,8,10,13,14],[3,4,5,8,11,12,14],[3,4,6,7,8,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,13],[3,5,6,9,11,12,14],[4,5,7,8,9,10,11]]; G[4411]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4412: autom. group order 2, simple B[4412]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,12,14],[1,3,5,7,11,13,14],[1,3,7,9,10,13,14],[1,4,5,10,11,12,13],[1,4,6,8,10,12,14],[1,4,6,9,11,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,11,12,14],[2,4,6,7,9,13,14],[2,4,7,9,10,12,13],[2,5,6,7,8,10,13],[2,5,6,8,11,13,14],[3,4,5,8,10,13,14],[3,4,6,7,8,12,14],[3,4,7,8,11,12,13],[3,5,6,7,9,11,12],[3,5,6,9,10,12,14],[4,5,7,8,9,10,11]]; G[4412]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4413: autom. group order 2, simple B[4413]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,13,14],[1,3,5,7,11,13,14],[1,3,7,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,8,10,12,14],[1,4,6,9,11,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,11,12,14],[2,4,6,7,9,13,14],[2,4,7,9,10,12,13],[2,5,6,7,8,10,13],[2,5,6,8,11,12,14],[3,4,5,8,10,13,14],[3,4,6,7,8,12,14],[3,4,7,8,11,12,13],[3,5,6,7,9,11,12],[3,5,6,9,10,13,14],[4,5,7,8,9,10,11]]; G[4413]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4414: autom. group order 2, simple B[4414]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,10,12,14],[1,3,5,7,11,13,14],[1,3,7,9,11,13,14],[1,4,5,10,11,12,13],[1,4,6,8,10,13,14],[1,4,6,9,11,12,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,10,13,14],[2,4,6,7,9,13,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,12],[2,5,6,8,11,13,14],[3,4,5,8,11,12,14],[3,4,6,7,8,12,14],[3,4,7,9,10,12,13],[3,5,6,7,8,10,13],[3,5,6,9,10,12,14],[4,5,7,8,9,10,11]]; G[4414]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4415: autom. group order 2, simple B[4415]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,10,13,14],[1,3,5,7,11,13,14],[1,3,7,9,11,12,14],[1,4,5,10,11,12,13],[1,4,6,8,10,13,14],[1,4,6,9,11,12,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,10,12,14],[2,4,6,7,9,13,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,13],[2,5,6,8,11,12,14],[3,4,5,8,11,13,14],[3,4,6,7,8,12,14],[3,4,7,9,10,12,13],[3,5,6,7,8,10,12],[3,5,6,9,10,13,14],[4,5,7,8,9,10,11]]; G[4415]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4416: autom. group order 2, simple B[4416]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,10,12,14],[1,3,5,7,11,13,14],[1,3,7,9,11,13,14],[1,4,5,10,11,12,13],[1,4,6,8,10,13,14],[1,4,6,9,11,12,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,11,12,14],[2,4,6,7,9,13,14],[2,4,7,8,11,12,13],[2,5,6,7,9,10,13],[2,5,6,8,11,13,14],[3,4,5,8,10,13,14],[3,4,6,7,8,12,14],[3,4,7,9,10,12,13],[3,5,6,7,8,11,12],[3,5,6,9,10,12,14],[4,5,7,8,9,10,11]]; G[4416]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4417: autom. group order 2, simple B[4417]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,10,13,14],[1,3,5,7,11,13,14],[1,3,7,9,11,12,14],[1,4,5,10,11,12,13],[1,4,6,8,10,13,14],[1,4,6,9,11,12,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,11,13,14],[2,4,6,7,9,13,14],[2,4,7,8,11,12,13],[2,5,6,7,9,10,12],[2,5,6,8,11,12,14],[3,4,5,8,10,12,14],[3,4,6,7,8,12,14],[3,4,7,9,10,12,13],[3,5,6,7,8,11,13],[3,5,6,9,10,13,14],[4,5,7,8,9,10,11]]; G[4417]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4418: autom. group order 2, simple B[4418]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,12,14],[1,3,5,7,11,13,14],[1,3,7,9,10,13,14],[1,4,5,10,11,12,13],[1,4,6,8,10,13,14],[1,4,6,9,11,12,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,10,13,14],[2,4,6,7,9,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,11,13],[2,5,6,8,11,13,14],[3,4,5,8,11,12,14],[3,4,6,7,8,13,14],[3,4,7,9,11,12,13],[3,5,6,7,8,10,12],[3,5,6,9,10,12,14],[4,5,7,8,9,10,11]]; G[4418]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4419: autom. group order 2, simple B[4419]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,13,14],[1,3,5,7,11,13,14],[1,3,7,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,8,10,13,14],[1,4,6,9,11,12,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,10,13,14],[2,4,6,7,9,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,11,13],[2,5,6,8,11,12,14],[3,4,5,8,11,12,14],[3,4,6,7,8,13,14],[3,4,7,9,11,12,13],[3,5,6,7,8,10,12],[3,5,6,9,10,13,14],[4,5,7,8,9,10,11]]; G[4419]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4420: autom. group order 2, simple B[4420]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,12,14],[1,3,5,7,11,13,14],[1,3,7,9,10,13,14],[1,4,5,10,11,12,13],[1,4,6,8,10,13,14],[1,4,6,9,11,12,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,10,12,14],[2,4,6,7,9,13,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,13],[2,5,6,8,10,13,14],[3,4,5,8,11,13,14],[3,4,6,7,8,12,14],[3,4,7,9,10,12,13],[3,5,6,7,8,10,12],[3,5,6,9,11,12,14],[4,5,7,8,9,10,11]]; G[4420]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4421: autom. group order 2, simple B[4421]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,13,14],[1,3,5,7,11,13,14],[1,3,7,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,8,10,13,14],[1,4,6,9,11,12,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,10,13,14],[2,4,6,7,9,13,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,12],[2,5,6,8,10,12,14],[3,4,5,8,11,12,14],[3,4,6,7,8,12,14],[3,4,7,9,10,12,13],[3,5,6,7,8,10,13],[3,5,6,9,11,13,14],[4,5,7,8,9,10,11]]; G[4421]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4422: autom. group order 2, simple B[4422]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,12,14],[1,3,5,7,11,13,14],[1,3,7,9,10,13,14],[1,4,5,10,11,12,13],[1,4,6,8,10,13,14],[1,4,6,9,11,12,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,11,13,14],[2,4,6,7,9,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,10,13],[2,5,6,8,11,13,14],[3,4,5,8,10,12,14],[3,4,6,7,8,13,14],[3,4,7,9,11,12,13],[3,5,6,7,8,11,12],[3,5,6,9,10,12,14],[4,5,7,8,9,10,11]]; G[4422]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4423: autom. group order 2, simple B[4423]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,13,14],[1,3,5,7,11,13,14],[1,3,7,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,8,10,13,14],[1,4,6,9,11,12,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,11,13,14],[2,4,6,7,9,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,10,13],[2,5,6,8,11,12,14],[3,4,5,8,10,12,14],[3,4,6,7,8,13,14],[3,4,7,9,11,12,13],[3,5,6,7,8,11,12],[3,5,6,9,10,13,14],[4,5,7,8,9,10,11]]; G[4423]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4424: autom. group order 2, simple B[4424]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,10,12,14],[1,3,5,7,11,13,14],[1,3,7,9,11,13,14],[1,4,5,10,11,12,13],[1,4,6,8,10,13,14],[1,4,6,9,11,12,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,10,13,14],[2,4,6,7,9,13,14],[2,4,7,8,11,12,13],[2,5,6,7,8,11,13],[2,5,6,9,11,12,14],[3,4,5,8,11,12,14],[3,4,6,7,8,12,14],[3,4,7,9,10,12,13],[3,5,6,7,9,10,12],[3,5,6,8,10,13,14],[4,5,7,8,9,10,11]]; G[4424]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4425: autom. group order 2, simple B[4425]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,10,13,14],[1,3,5,7,11,13,14],[1,3,7,9,11,12,14],[1,4,5,10,11,12,13],[1,4,6,8,10,13,14],[1,4,6,9,11,12,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,10,12,14],[2,4,6,7,9,13,14],[2,4,7,8,11,12,13],[2,5,6,7,8,11,12],[2,5,6,9,11,13,14],[3,4,5,8,11,13,14],[3,4,6,7,8,12,14],[3,4,7,9,10,12,13],[3,5,6,7,9,10,13],[3,5,6,8,10,12,14],[4,5,7,8,9,10,11]]; G[4425]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4426: autom. group order 2, simple B[4426]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,10,12,14],[1,3,5,7,11,13,14],[1,3,7,9,11,13,14],[1,4,5,10,11,12,13],[1,4,6,8,10,13,14],[1,4,6,9,11,12,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,11,12,14],[2,4,6,7,9,13,14],[2,4,7,8,11,12,13],[2,5,6,7,8,11,13],[2,5,6,9,10,13,14],[3,4,5,8,10,13,14],[3,4,6,7,8,12,14],[3,4,7,9,10,12,13],[3,5,6,7,9,10,12],[3,5,6,8,11,12,14],[4,5,7,8,9,10,11]]; G[4426]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4427: autom. group order 2, simple B[4427]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,10,13,14],[1,3,5,7,11,13,14],[1,3,7,9,11,12,14],[1,4,5,10,11,12,13],[1,4,6,8,10,13,14],[1,4,6,9,11,12,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,11,13,14],[2,4,6,7,9,13,14],[2,4,7,8,11,12,13],[2,5,6,7,8,11,12],[2,5,6,9,10,12,14],[3,4,5,8,10,12,14],[3,4,6,7,8,12,14],[3,4,7,9,10,12,13],[3,5,6,7,9,10,13],[3,5,6,8,11,13,14],[4,5,7,8,9,10,11]]; G[4427]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4428: autom. group order 2, simple B[4428]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,12,14],[1,3,5,7,11,13,14],[1,3,7,9,10,13,14],[1,4,5,10,11,12,13],[1,4,6,8,10,13,14],[1,4,6,9,11,12,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,10,13,14],[2,4,6,7,9,12,14],[2,4,7,8,10,12,13],[2,5,6,7,8,11,13],[2,5,6,9,11,13,14],[3,4,5,8,11,12,14],[3,4,6,7,8,13,14],[3,4,7,9,11,12,13],[3,5,6,7,9,10,12],[3,5,6,8,10,12,14],[4,5,7,8,9,10,11]]; G[4428]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4429: autom. group order 2, simple B[4429]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,13,14],[1,3,5,7,11,13,14],[1,3,7,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,8,10,13,14],[1,4,6,9,11,12,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,10,13,14],[2,4,6,7,9,12,14],[2,4,7,8,10,12,13],[2,5,6,7,8,11,12],[2,5,6,9,11,13,14],[3,4,5,8,11,12,14],[3,4,6,7,8,13,14],[3,4,7,9,11,12,13],[3,5,6,7,9,10,13],[3,5,6,8,10,12,14],[4,5,7,8,9,10,11]]; G[4429]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4430: autom. group order 2, simple B[4430]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,12,14],[1,3,5,7,11,13,14],[1,3,7,9,10,13,14],[1,4,5,10,11,12,13],[1,4,6,8,10,13,14],[1,4,6,9,11,12,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,10,12,14],[2,4,6,7,9,13,14],[2,4,7,8,11,12,13],[2,5,6,7,8,10,13],[2,5,6,9,11,13,14],[3,4,5,8,11,13,14],[3,4,6,7,8,12,14],[3,4,7,9,10,12,13],[3,5,6,7,9,11,12],[3,5,6,8,10,12,14],[4,5,7,8,9,10,11]]; G[4430]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4431: autom. group order 2, simple B[4431]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,13,14],[1,3,5,7,11,13,14],[1,3,7,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,8,10,13,14],[1,4,6,9,11,12,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,10,13,14],[2,4,6,7,9,13,14],[2,4,7,8,11,12,13],[2,5,6,7,8,10,12],[2,5,6,9,11,12,14],[3,4,5,8,11,12,14],[3,4,6,7,8,12,14],[3,4,7,9,10,12,13],[3,5,6,7,9,11,13],[3,5,6,8,10,13,14],[4,5,7,8,9,10,11]]; G[4431]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4432: autom. group order 2, simple B[4432]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,12,14],[1,3,5,7,11,13,14],[1,3,7,9,10,13,14],[1,4,5,10,11,12,13],[1,4,6,8,10,13,14],[1,4,6,9,11,12,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,11,13,14],[2,4,6,7,9,12,14],[2,4,7,8,10,12,13],[2,5,6,7,8,11,13],[2,5,6,9,10,13,14],[3,4,5,8,10,12,14],[3,4,6,7,8,13,14],[3,4,7,9,11,12,13],[3,5,6,7,9,10,12],[3,5,6,8,11,12,14],[4,5,7,8,9,10,11]]; G[4432]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4433: autom. group order 2, simple B[4433]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,13,14],[1,3,5,7,11,13,14],[1,3,7,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,8,10,13,14],[1,4,6,9,11,12,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,11,13,14],[2,4,6,7,9,12,14],[2,4,7,8,10,12,13],[2,5,6,7,8,11,12],[2,5,6,9,10,13,14],[3,4,5,8,10,12,14],[3,4,6,7,8,13,14],[3,4,7,9,11,12,13],[3,5,6,7,9,10,13],[3,5,6,8,11,12,14],[4,5,7,8,9,10,11]]; G[4433]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4434: autom. group order 2, simple B[4434]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,12,14],[1,3,5,7,11,13,14],[1,3,7,9,10,13,14],[1,4,5,10,11,12,13],[1,4,6,8,10,13,14],[1,4,6,9,11,12,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,11,13,14],[2,4,6,7,9,13,14],[2,4,7,8,11,12,13],[2,5,6,7,8,10,13],[2,5,6,9,10,12,14],[3,4,5,8,10,12,14],[3,4,6,7,8,12,14],[3,4,7,9,10,12,13],[3,5,6,7,9,11,12],[3,5,6,8,11,13,14],[4,5,7,8,9,10,11]]; G[4434]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4435: autom. group order 2, simple B[4435]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,13,14],[1,3,5,7,11,13,14],[1,3,7,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,8,10,13,14],[1,4,6,9,11,12,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,11,12,14],[2,4,6,7,9,13,14],[2,4,7,8,11,12,13],[2,5,6,7,8,10,12],[2,5,6,9,10,13,14],[3,4,5,8,10,13,14],[3,4,6,7,8,12,14],[3,4,7,9,10,12,13],[3,5,6,7,9,11,13],[3,5,6,8,11,12,14],[4,5,7,8,9,10,11]]; G[4435]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4436: autom. group order 2, simple B[4436]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,10,13,14],[1,3,5,7,11,13,14],[1,3,7,9,11,12,14],[1,4,5,10,11,12,13],[1,4,6,8,11,12,14],[1,4,6,9,10,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,11,12,14],[2,4,6,7,8,12,14],[2,4,7,9,10,12,13],[2,5,6,7,9,11,13],[2,5,6,8,11,13,14],[3,4,5,8,10,13,14],[3,4,6,7,9,13,14],[3,4,7,8,11,12,13],[3,5,6,7,8,10,12],[3,5,6,9,10,12,14],[4,5,7,8,9,10,11]]; G[4436]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4437: autom. group order 2, simple B[4437]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,10,13,14],[1,3,5,7,11,13,14],[1,3,7,9,11,12,14],[1,4,5,10,11,12,13],[1,4,6,8,11,12,14],[1,4,6,9,10,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,11,13,14],[2,4,6,7,8,12,14],[2,4,7,9,10,12,13],[2,5,6,7,9,11,12],[2,5,6,8,11,13,14],[3,4,5,8,10,12,14],[3,4,6,7,9,13,14],[3,4,7,8,11,12,13],[3,5,6,7,8,10,13],[3,5,6,9,10,12,14],[4,5,7,8,9,10,11]]; G[4437]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4438: autom. group order 2, simple B[4438]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,10,12,14],[1,3,5,7,11,13,14],[1,3,7,9,11,13,14],[1,4,5,10,11,12,13],[1,4,6,8,11,12,14],[1,4,6,9,10,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,11,12,14],[2,4,6,7,8,13,14],[2,4,7,9,11,12,13],[2,5,6,7,9,10,13],[2,5,6,8,11,13,14],[3,4,5,8,10,13,14],[3,4,6,7,9,12,14],[3,4,7,8,10,12,13],[3,5,6,7,8,11,12],[3,5,6,9,10,12,14],[4,5,7,8,9,10,11]]; G[4438]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4439: autom. group order 2, simple B[4439]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,10,13,14],[1,3,5,7,11,13,14],[1,3,7,9,11,12,14],[1,4,5,10,11,12,13],[1,4,6,8,11,12,14],[1,4,6,9,10,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,11,13,14],[2,4,6,7,8,13,14],[2,4,7,9,11,12,13],[2,5,6,7,9,10,12],[2,5,6,8,11,12,14],[3,4,5,8,10,12,14],[3,4,6,7,9,12,14],[3,4,7,8,10,12,13],[3,5,6,7,8,11,13],[3,5,6,9,10,13,14],[4,5,7,8,9,10,11]]; G[4439]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4440: autom. group order 2, simple B[4440]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,12,14],[1,3,5,7,11,13,14],[1,3,7,9,10,13,14],[1,4,5,10,11,12,13],[1,4,6,8,11,12,14],[1,4,6,9,10,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,10,12,14],[2,4,6,7,8,13,14],[2,4,7,9,11,12,13],[2,5,6,7,9,11,13],[2,5,6,8,10,13,14],[3,4,5,8,11,13,14],[3,4,6,7,9,12,14],[3,4,7,8,10,12,13],[3,5,6,7,8,10,12],[3,5,6,9,11,12,14],[4,5,7,8,9,10,11]]; G[4440]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4441: autom. group order 2, simple B[4441]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,13,14],[1,3,5,7,11,13,14],[1,3,7,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,8,11,12,14],[1,4,6,9,10,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,10,13,14],[2,4,6,7,8,13,14],[2,4,7,9,11,12,13],[2,5,6,7,9,11,12],[2,5,6,8,10,12,14],[3,4,5,8,11,12,14],[3,4,6,7,9,12,14],[3,4,7,8,10,12,13],[3,5,6,7,8,10,13],[3,5,6,9,11,13,14],[4,5,7,8,9,10,11]]; G[4441]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4442: autom. group order 2, simple B[4442]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,13,14],[1,3,5,7,11,13,14],[1,3,7,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,8,11,12,14],[1,4,6,9,10,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,11,12,14],[2,4,6,7,8,12,14],[2,4,7,9,10,12,13],[2,5,6,7,9,11,13],[2,5,6,8,10,13,14],[3,4,5,8,10,13,14],[3,4,6,7,9,13,14],[3,4,7,8,11,12,13],[3,5,6,7,8,10,12],[3,5,6,9,11,12,14],[4,5,7,8,9,10,11]]; G[4442]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4443: autom. group order 2, simple B[4443]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,13,14],[1,3,5,7,11,13,14],[1,3,7,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,8,11,12,14],[1,4,6,9,10,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,11,13,14],[2,4,6,7,8,12,14],[2,4,7,9,10,12,13],[2,5,6,7,9,11,12],[2,5,6,8,10,13,14],[3,4,5,8,10,12,14],[3,4,6,7,9,13,14],[3,4,7,8,11,12,13],[3,5,6,7,8,10,13],[3,5,6,9,11,12,14],[4,5,7,8,9,10,11]]; G[4443]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4444: autom. group order 2, simple B[4444]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,12,14],[1,3,5,7,11,13,14],[1,3,7,9,10,13,14],[1,4,5,10,11,12,13],[1,4,6,8,11,12,14],[1,4,6,9,10,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,11,13,14],[2,4,6,7,8,13,14],[2,4,7,9,11,12,13],[2,5,6,7,9,10,12],[2,5,6,8,10,13,14],[3,4,5,8,10,12,14],[3,4,6,7,9,12,14],[3,4,7,8,10,12,13],[3,5,6,7,8,11,13],[3,5,6,9,11,12,14],[4,5,7,8,9,10,11]]; G[4444]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4445: autom. group order 2, simple B[4445]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,13,14],[1,3,5,7,11,13,14],[1,3,7,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,8,11,12,14],[1,4,6,9,10,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,11,12,14],[2,4,6,7,8,13,14],[2,4,7,9,11,12,13],[2,5,6,7,9,10,13],[2,5,6,8,10,12,14],[3,4,5,8,10,13,14],[3,4,6,7,9,12,14],[3,4,7,8,10,12,13],[3,5,6,7,8,11,12],[3,5,6,9,11,13,14],[4,5,7,8,9,10,11]]; G[4445]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4446: autom. group order 2, simple B[4446]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,10,12,14],[1,3,5,7,11,13,14],[1,3,7,9,11,13,14],[1,4,5,10,11,12,13],[1,4,6,8,11,12,14],[1,4,6,9,10,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,10,13,14],[2,4,6,7,8,13,14],[2,4,7,9,11,12,13],[2,5,6,7,8,11,13],[2,5,6,9,11,12,14],[3,4,5,8,11,12,14],[3,4,6,7,9,12,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,12],[3,5,6,8,10,13,14],[4,5,7,8,9,10,11]]; G[4446]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4447: autom. group order 2, simple B[4447]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,10,13,14],[1,3,5,7,11,13,14],[1,3,7,9,11,12,14],[1,4,5,10,11,12,13],[1,4,6,8,11,12,14],[1,4,6,9,10,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,10,12,14],[2,4,6,7,8,13,14],[2,4,7,9,11,12,13],[2,5,6,7,8,11,12],[2,5,6,9,11,13,14],[3,4,5,8,11,13,14],[3,4,6,7,9,12,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,13],[3,5,6,8,10,12,14],[4,5,7,8,9,10,11]]; G[4447]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4448: autom. group order 2, simple B[4448]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,10,13,14],[1,3,5,7,11,13,14],[1,3,7,9,11,12,14],[1,4,5,10,11,12,13],[1,4,6,8,11,12,14],[1,4,6,9,10,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,11,12,14],[2,4,6,7,8,12,14],[2,4,7,9,10,12,13],[2,5,6,7,8,11,13],[2,5,6,9,11,13,14],[3,4,5,8,10,13,14],[3,4,6,7,9,13,14],[3,4,7,8,11,12,13],[3,5,6,7,9,10,12],[3,5,6,8,10,12,14],[4,5,7,8,9,10,11]]; G[4448]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4449: autom. group order 2, simple B[4449]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,10,13,14],[1,3,5,7,11,13,14],[1,3,7,9,11,12,14],[1,4,5,10,11,12,13],[1,4,6,8,11,12,14],[1,4,6,9,10,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,11,13,14],[2,4,6,7,8,12,14],[2,4,7,9,10,12,13],[2,5,6,7,8,11,13],[2,5,6,9,11,12,14],[3,4,5,8,10,12,14],[3,4,6,7,9,13,14],[3,4,7,8,11,12,13],[3,5,6,7,9,10,12],[3,5,6,8,10,13,14],[4,5,7,8,9,10,11]]; G[4449]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4450: autom. group order 2, simple B[4450]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,10,12,14],[1,3,5,7,11,13,14],[1,3,7,9,11,13,14],[1,4,5,10,11,12,13],[1,4,6,8,11,12,14],[1,4,6,9,10,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,11,12,14],[2,4,6,7,8,13,14],[2,4,7,9,11,12,13],[2,5,6,7,8,11,13],[2,5,6,9,10,13,14],[3,4,5,8,10,13,14],[3,4,6,7,9,12,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,12],[3,5,6,8,11,12,14],[4,5,7,8,9,10,11]]; G[4450]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4451: autom. group order 2, simple B[4451]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,10,13,14],[1,3,5,7,11,13,14],[1,3,7,9,11,12,14],[1,4,5,10,11,12,13],[1,4,6,8,11,12,14],[1,4,6,9,10,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,11,13,14],[2,4,6,7,8,13,14],[2,4,7,9,11,12,13],[2,5,6,7,8,11,12],[2,5,6,9,10,12,14],[3,4,5,8,10,12,14],[3,4,6,7,9,12,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,13],[3,5,6,8,11,13,14],[4,5,7,8,9,10,11]]; G[4451]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4452: autom. group order 2, simple B[4452]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,12,14],[1,3,5,7,11,13,14],[1,3,7,9,10,13,14],[1,4,5,10,11,12,13],[1,4,6,8,11,12,14],[1,4,6,9,10,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,10,12,14],[2,4,6,7,8,13,14],[2,4,7,9,11,12,13],[2,5,6,7,8,10,13],[2,5,6,9,11,13,14],[3,4,5,8,11,13,14],[3,4,6,7,9,12,14],[3,4,7,8,10,12,13],[3,5,6,7,9,11,12],[3,5,6,8,10,12,14],[4,5,7,8,9,10,11]]; G[4452]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4453: autom. group order 2, simple B[4453]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,13,14],[1,3,5,7,11,13,14],[1,3,7,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,8,11,12,14],[1,4,6,9,10,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,10,13,14],[2,4,6,7,8,13,14],[2,4,7,9,11,12,13],[2,5,6,7,8,10,12],[2,5,6,9,11,12,14],[3,4,5,8,11,12,14],[3,4,6,7,9,12,14],[3,4,7,8,10,12,13],[3,5,6,7,9,11,13],[3,5,6,8,10,13,14],[4,5,7,8,9,10,11]]; G[4453]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4454: autom. group order 2, simple B[4454]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,13,14],[1,3,5,7,11,13,14],[1,3,7,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,8,11,12,14],[1,4,6,9,10,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,11,12,14],[2,4,6,7,8,12,14],[2,4,7,9,10,12,13],[2,5,6,7,8,10,13],[2,5,6,9,11,13,14],[3,4,5,8,10,13,14],[3,4,6,7,9,13,14],[3,4,7,8,11,12,13],[3,5,6,7,9,11,12],[3,5,6,8,10,12,14],[4,5,7,8,9,10,11]]; G[4454]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4455: autom. group order 2, simple B[4455]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,13,14],[1,3,5,7,11,13,14],[1,3,7,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,8,11,12,14],[1,4,6,9,10,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,11,13,14],[2,4,6,7,8,12,14],[2,4,7,9,10,12,13],[2,5,6,7,8,10,13],[2,5,6,9,11,12,14],[3,4,5,8,10,12,14],[3,4,6,7,9,13,14],[3,4,7,8,11,12,13],[3,5,6,7,9,11,12],[3,5,6,8,10,13,14],[4,5,7,8,9,10,11]]; G[4455]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4456: autom. group order 2, simple B[4456]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,12,14],[1,3,5,7,11,13,14],[1,3,7,9,10,13,14],[1,4,5,10,11,12,13],[1,4,6,8,11,12,14],[1,4,6,9,10,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,11,13,14],[2,4,6,7,8,13,14],[2,4,7,9,11,12,13],[2,5,6,7,8,10,13],[2,5,6,9,10,12,14],[3,4,5,8,10,12,14],[3,4,6,7,9,12,14],[3,4,7,8,10,12,13],[3,5,6,7,9,11,12],[3,5,6,8,11,13,14],[4,5,7,8,9,10,11]]; G[4456]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4457: autom. group order 2, simple B[4457]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,13,14],[1,3,5,7,11,13,14],[1,3,7,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,8,11,12,14],[1,4,6,9,10,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,11,12,14],[2,4,6,7,8,13,14],[2,4,7,9,11,12,13],[2,5,6,7,8,10,12],[2,5,6,9,10,13,14],[3,4,5,8,10,13,14],[3,4,6,7,9,12,14],[3,4,7,8,10,12,13],[3,5,6,7,9,11,13],[3,5,6,8,11,12,14],[4,5,7,8,9,10,11]]; G[4457]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4458: autom. group order 2, simple B[4458]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,10,13,14],[1,3,5,7,11,13,14],[1,3,7,9,11,12,14],[1,4,5,10,11,12,13],[1,4,6,8,11,13,14],[1,4,6,9,10,12,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,10,13,14],[2,4,6,7,8,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,12],[2,5,6,9,11,13,14],[3,4,5,8,11,12,14],[3,4,6,7,9,13,14],[3,4,7,9,10,12,13],[3,5,6,7,8,10,13],[3,5,6,8,10,12,14],[4,5,7,8,9,10,11]]; G[4458]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4459: autom. group order 2, simple B[4459]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,10,13,14],[1,3,5,7,11,13,14],[1,3,7,9,11,12,14],[1,4,5,10,11,12,13],[1,4,6,8,11,13,14],[1,4,6,9,10,12,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,10,13,14],[2,4,6,7,8,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,13],[2,5,6,9,11,12,14],[3,4,5,8,11,12,14],[3,4,6,7,9,13,14],[3,4,7,9,10,12,13],[3,5,6,7,8,10,12],[3,5,6,8,10,13,14],[4,5,7,8,9,10,11]]; G[4459]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4460: autom. group order 2, simple B[4460]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,10,13,14],[1,3,5,7,11,13,14],[1,3,7,9,11,12,14],[1,4,5,10,11,12,13],[1,4,6,8,11,13,14],[1,4,6,9,10,12,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,11,12,14],[2,4,6,7,8,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,10,13],[2,5,6,9,11,13,14],[3,4,5,8,10,13,14],[3,4,6,7,9,13,14],[3,4,7,9,10,12,13],[3,5,6,7,8,11,12],[3,5,6,8,10,12,14],[4,5,7,8,9,10,11]]; G[4460]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4461: autom. group order 2, simple B[4461]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,10,13,14],[1,3,5,7,11,13,14],[1,3,7,9,11,12,14],[1,4,5,10,11,12,13],[1,4,6,8,11,13,14],[1,4,6,9,10,12,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,11,13,14],[2,4,6,7,8,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,10,13],[2,5,6,9,11,12,14],[3,4,5,8,10,12,14],[3,4,6,7,9,13,14],[3,4,7,9,10,12,13],[3,5,6,7,8,11,12],[3,5,6,8,10,13,14],[4,5,7,8,9,10,11]]; G[4461]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4462: autom. group order 2, simple B[4462]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,10,13,14],[1,3,5,7,11,13,14],[1,3,7,9,11,12,14],[1,4,5,10,11,12,13],[1,4,6,8,11,13,14],[1,4,6,9,10,12,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,11,12,14],[2,4,6,7,8,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,13],[2,5,6,9,10,13,14],[3,4,5,8,10,13,14],[3,4,6,7,9,13,14],[3,4,7,9,10,12,13],[3,5,6,7,8,10,12],[3,5,6,8,11,12,14],[4,5,7,8,9,10,11]]; G[4462]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4463: autom. group order 2, simple B[4463]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,10,13,14],[1,3,5,7,11,13,14],[1,3,7,9,11,12,14],[1,4,5,10,11,12,13],[1,4,6,8,11,13,14],[1,4,6,9,10,12,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,11,13,14],[2,4,6,7,8,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,12],[2,5,6,9,10,13,14],[3,4,5,8,10,12,14],[3,4,6,7,9,13,14],[3,4,7,9,10,12,13],[3,5,6,7,8,10,13],[3,5,6,8,11,12,14],[4,5,7,8,9,10,11]]; G[4463]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4464: autom. group order 2, simple B[4464]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,12,14],[1,3,5,7,11,13,14],[1,3,7,9,10,13,14],[1,4,5,10,11,12,13],[1,4,6,8,11,13,14],[1,4,6,9,10,12,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,10,13,14],[2,4,6,7,8,13,14],[2,4,7,8,10,12,13],[2,5,6,7,9,11,12],[2,5,6,9,11,13,14],[3,4,5,8,11,12,14],[3,4,6,7,9,12,14],[3,4,7,9,11,12,13],[3,5,6,7,8,10,13],[3,5,6,8,10,12,14],[4,5,7,8,9,10,11]]; G[4464]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4465: autom. group order 2, simple B[4465]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,12,14],[1,3,5,7,11,13,14],[1,3,7,9,10,13,14],[1,4,5,10,11,12,13],[1,4,6,8,11,13,14],[1,4,6,9,10,12,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,10,13,14],[2,4,6,7,8,13,14],[2,4,7,8,10,12,13],[2,5,6,7,9,11,13],[2,5,6,9,11,12,14],[3,4,5,8,11,12,14],[3,4,6,7,9,12,14],[3,4,7,9,11,12,13],[3,5,6,7,8,10,12],[3,5,6,8,10,13,14],[4,5,7,8,9,10,11]]; G[4465]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4466: autom. group order 2, simple B[4466]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,12,14],[1,3,5,7,11,13,14],[1,3,7,9,10,13,14],[1,4,5,10,11,12,13],[1,4,6,8,11,13,14],[1,4,6,9,10,12,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,11,12,14],[2,4,6,7,8,13,14],[2,4,7,8,10,12,13],[2,5,6,7,9,10,13],[2,5,6,9,11,13,14],[3,4,5,8,10,13,14],[3,4,6,7,9,12,14],[3,4,7,9,11,12,13],[3,5,6,7,8,11,12],[3,5,6,8,10,12,14],[4,5,7,8,9,10,11]]; G[4466]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4467: autom. group order 2, simple B[4467]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,12,14],[1,3,5,7,11,13,14],[1,3,7,9,10,13,14],[1,4,5,10,11,12,13],[1,4,6,8,11,13,14],[1,4,6,9,10,12,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,11,13,14],[2,4,6,7,8,13,14],[2,4,7,8,10,12,13],[2,5,6,7,9,10,13],[2,5,6,9,11,12,14],[3,4,5,8,10,12,14],[3,4,6,7,9,12,14],[3,4,7,9,11,12,13],[3,5,6,7,8,11,12],[3,5,6,8,10,13,14],[4,5,7,8,9,10,11]]; G[4467]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4468: autom. group order 2, simple B[4468]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,12,14],[1,3,5,7,11,13,14],[1,3,7,9,10,13,14],[1,4,5,10,11,12,13],[1,4,6,8,11,13,14],[1,4,6,9,10,12,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,11,12,14],[2,4,6,7,8,13,14],[2,4,7,8,10,12,13],[2,5,6,7,9,11,13],[2,5,6,9,10,13,14],[3,4,5,8,10,13,14],[3,4,6,7,9,12,14],[3,4,7,9,11,12,13],[3,5,6,7,8,10,12],[3,5,6,8,11,12,14],[4,5,7,8,9,10,11]]; G[4468]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4469: autom. group order 2, simple B[4469]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,12,14],[1,3,5,7,11,13,14],[1,3,7,9,10,13,14],[1,4,5,10,11,12,13],[1,4,6,8,11,13,14],[1,4,6,9,10,12,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,9,11,13,14],[2,4,6,7,8,13,14],[2,4,7,8,10,12,13],[2,5,6,7,9,11,12],[2,5,6,9,10,13,14],[3,4,5,8,10,12,14],[3,4,6,7,9,12,14],[3,4,7,9,11,12,13],[3,5,6,7,8,10,13],[3,5,6,8,11,12,14],[4,5,7,8,9,10,11]]; G[4469]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4470: autom. group order 2, simple B[4470]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,10,13,14],[1,3,5,7,11,13,14],[1,3,7,9,11,12,14],[1,4,5,10,11,12,13],[1,4,6,8,10,12,14],[1,4,6,9,11,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,8,11,12,14],[2,4,6,7,9,13,14],[2,4,7,9,10,12,13],[2,5,6,7,9,11,12],[2,5,6,8,11,13,14],[3,4,5,9,10,13,14],[3,4,6,7,8,12,14],[3,4,7,8,11,12,13],[3,5,6,7,8,10,13],[3,5,6,9,10,12,14],[4,5,7,8,9,10,11]]; G[4470]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4471: autom. group order 2, simple B[4471]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,10,13,14],[1,3,5,7,11,13,14],[1,3,7,9,11,12,14],[1,4,5,10,11,12,13],[1,4,6,8,10,12,14],[1,4,6,9,11,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,8,11,13,14],[2,4,6,7,9,13,14],[2,4,7,9,10,12,13],[2,5,6,7,9,11,12],[2,5,6,8,11,12,14],[3,4,5,9,10,12,14],[3,4,6,7,8,12,14],[3,4,7,8,11,12,13],[3,5,6,7,8,10,13],[3,5,6,9,10,13,14],[4,5,7,8,9,10,11]]; G[4471]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4472: autom. group order 2, simple B[4472]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,10,13,14],[1,3,5,7,11,13,14],[1,3,7,9,11,12,14],[1,4,5,10,11,12,13],[1,4,6,8,10,12,14],[1,4,6,9,11,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,8,11,12,14],[2,4,6,7,9,12,14],[2,4,7,9,11,12,13],[2,5,6,7,9,10,13],[2,5,6,8,11,13,14],[3,4,5,9,10,13,14],[3,4,6,7,8,13,14],[3,4,7,8,10,12,13],[3,5,6,7,8,11,12],[3,5,6,9,10,12,14],[4,5,7,8,9,10,11]]; G[4472]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4473: autom. group order 2, simple B[4473]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,10,13,14],[1,3,5,7,11,13,14],[1,3,7,9,11,12,14],[1,4,5,10,11,12,13],[1,4,6,8,10,12,14],[1,4,6,9,11,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,8,11,13,14],[2,4,6,7,9,12,14],[2,4,7,9,11,12,13],[2,5,6,7,9,10,13],[2,5,6,8,11,12,14],[3,4,5,9,10,12,14],[3,4,6,7,8,13,14],[3,4,7,8,10,12,13],[3,5,6,7,8,11,12],[3,5,6,9,10,13,14],[4,5,7,8,9,10,11]]; G[4473]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4474: autom. group order 2, simple B[4474]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,12,14],[1,3,5,7,11,13,14],[1,3,7,9,10,13,14],[1,4,5,10,11,12,13],[1,4,6,8,10,12,14],[1,4,6,9,11,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,8,10,13,14],[2,4,6,7,9,13,14],[2,4,7,9,10,12,13],[2,5,6,7,9,11,12],[2,5,6,8,11,13,14],[3,4,5,9,11,12,14],[3,4,6,7,8,12,14],[3,4,7,8,11,12,13],[3,5,6,7,8,10,13],[3,5,6,9,10,12,14],[4,5,7,8,9,10,11]]; G[4474]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4475: autom. group order 2, simple B[4475]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,13,14],[1,3,5,7,11,13,14],[1,3,7,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,8,10,12,14],[1,4,6,9,11,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,8,10,13,14],[2,4,6,7,9,13,14],[2,4,7,9,10,12,13],[2,5,6,7,9,11,12],[2,5,6,8,11,12,14],[3,4,5,9,11,12,14],[3,4,6,7,8,12,14],[3,4,7,8,11,12,13],[3,5,6,7,8,10,13],[3,5,6,9,10,13,14],[4,5,7,8,9,10,11]]; G[4475]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4476: autom. group order 2, simple B[4476]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,12,14],[1,3,5,7,11,13,14],[1,3,7,9,10,13,14],[1,4,5,10,11,12,13],[1,4,6,8,10,12,14],[1,4,6,9,11,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,8,10,13,14],[2,4,6,7,9,12,14],[2,4,7,9,11,12,13],[2,5,6,7,9,10,13],[2,5,6,8,11,13,14],[3,4,5,9,11,12,14],[3,4,6,7,8,13,14],[3,4,7,8,10,12,13],[3,5,6,7,8,11,12],[3,5,6,9,10,12,14],[4,5,7,8,9,10,11]]; G[4476]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4477: autom. group order 2, simple B[4477]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,13,14],[1,3,5,7,11,13,14],[1,3,7,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,8,10,12,14],[1,4,6,9,11,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,8,10,13,14],[2,4,6,7,9,12,14],[2,4,7,9,11,12,13],[2,5,6,7,9,10,13],[2,5,6,8,11,12,14],[3,4,5,9,11,12,14],[3,4,6,7,8,13,14],[3,4,7,8,10,12,13],[3,5,6,7,8,11,12],[3,5,6,9,10,13,14],[4,5,7,8,9,10,11]]; G[4477]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4478: autom. group order 2, simple B[4478]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,12,14],[1,3,5,7,11,13,14],[1,3,7,9,10,13,14],[1,4,5,10,11,12,13],[1,4,6,8,10,12,14],[1,4,6,9,11,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,8,11,13,14],[2,4,6,7,9,13,14],[2,4,7,9,10,12,13],[2,5,6,7,9,11,12],[2,5,6,8,10,13,14],[3,4,5,9,10,12,14],[3,4,6,7,8,12,14],[3,4,7,8,11,12,13],[3,5,6,7,8,10,13],[3,5,6,9,11,12,14],[4,5,7,8,9,10,11]]; G[4478]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4479: autom. group order 2, simple B[4479]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,13,14],[1,3,5,7,11,13,14],[1,3,7,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,8,10,12,14],[1,4,6,9,11,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,8,11,12,14],[2,4,6,7,9,13,14],[2,4,7,9,10,12,13],[2,5,6,7,9,11,12],[2,5,6,8,10,13,14],[3,4,5,9,10,13,14],[3,4,6,7,8,12,14],[3,4,7,8,11,12,13],[3,5,6,7,8,10,13],[3,5,6,9,11,12,14],[4,5,7,8,9,10,11]]; G[4479]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4480: autom. group order 2, simple B[4480]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,12,14],[1,3,5,7,11,13,14],[1,3,7,9,10,13,14],[1,4,5,10,11,12,13],[1,4,6,8,10,12,14],[1,4,6,9,11,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,8,11,13,14],[2,4,6,7,9,12,14],[2,4,7,9,11,12,13],[2,5,6,7,9,10,13],[2,5,6,8,10,13,14],[3,4,5,9,10,12,14],[3,4,6,7,8,13,14],[3,4,7,8,10,12,13],[3,5,6,7,8,11,12],[3,5,6,9,11,12,14],[4,5,7,8,9,10,11]]; G[4480]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4481: autom. group order 2, simple B[4481]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,13,14],[1,3,5,7,11,13,14],[1,3,7,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,8,10,12,14],[1,4,6,9,11,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,8,11,12,14],[2,4,6,7,9,12,14],[2,4,7,9,11,12,13],[2,5,6,7,9,10,13],[2,5,6,8,10,13,14],[3,4,5,9,10,13,14],[3,4,6,7,8,13,14],[3,4,7,8,10,12,13],[3,5,6,7,8,11,12],[3,5,6,9,11,12,14],[4,5,7,8,9,10,11]]; G[4481]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4482: autom. group order 2, simple B[4482]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,10,13,14],[1,3,5,7,11,13,14],[1,3,7,9,11,12,14],[1,4,5,10,11,12,13],[1,4,6,8,10,12,14],[1,4,6,9,11,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,8,11,12,14],[2,4,6,7,9,13,14],[2,4,7,9,10,12,13],[2,5,6,7,8,11,13],[2,5,6,9,11,12,14],[3,4,5,9,10,13,14],[3,4,6,7,8,12,14],[3,4,7,8,11,12,13],[3,5,6,7,9,10,12],[3,5,6,8,10,13,14],[4,5,7,8,9,10,11]]; G[4482]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4483: autom. group order 2, simple B[4483]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,10,13,14],[1,3,5,7,11,13,14],[1,3,7,9,11,12,14],[1,4,5,10,11,12,13],[1,4,6,8,10,12,14],[1,4,6,9,11,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,8,11,13,14],[2,4,6,7,9,13,14],[2,4,7,9,10,12,13],[2,5,6,7,8,11,12],[2,5,6,9,11,12,14],[3,4,5,9,10,12,14],[3,4,6,7,8,12,14],[3,4,7,8,11,12,13],[3,5,6,7,9,10,13],[3,5,6,8,10,13,14],[4,5,7,8,9,10,11]]; G[4483]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4484: autom. group order 2, simple B[4484]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,10,13,14],[1,3,5,7,11,13,14],[1,3,7,9,11,12,14],[1,4,5,10,11,12,13],[1,4,6,8,10,12,14],[1,4,6,9,11,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,8,11,12,14],[2,4,6,7,9,12,14],[2,4,7,9,11,12,13],[2,5,6,7,8,11,13],[2,5,6,9,10,13,14],[3,4,5,9,10,13,14],[3,4,6,7,8,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,12],[3,5,6,8,11,12,14],[4,5,7,8,9,10,11]]; G[4484]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4485: autom. group order 2, simple B[4485]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,10,13,14],[1,3,5,7,11,13,14],[1,3,7,9,11,12,14],[1,4,5,10,11,12,13],[1,4,6,8,10,12,14],[1,4,6,9,11,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,8,11,13,14],[2,4,6,7,9,12,14],[2,4,7,9,11,12,13],[2,5,6,7,8,11,12],[2,5,6,9,10,13,14],[3,4,5,9,10,12,14],[3,4,6,7,8,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,13],[3,5,6,8,11,12,14],[4,5,7,8,9,10,11]]; G[4485]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4486: autom. group order 2, simple B[4486]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,12,14],[1,3,5,7,11,13,14],[1,3,7,9,10,13,14],[1,4,5,10,11,12,13],[1,4,6,8,10,12,14],[1,4,6,9,11,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,8,10,13,14],[2,4,6,7,9,12,14],[2,4,7,9,11,12,13],[2,5,6,7,8,11,13],[2,5,6,9,10,13,14],[3,4,5,9,11,12,14],[3,4,6,7,8,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,12],[3,5,6,8,11,12,14],[4,5,7,8,9,10,11]]; G[4486]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4487: autom. group order 2, simple B[4487]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,13,14],[1,3,5,7,11,13,14],[1,3,7,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,8,10,12,14],[1,4,6,9,11,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,8,10,13,14],[2,4,6,7,9,12,14],[2,4,7,9,11,12,13],[2,5,6,7,8,11,12],[2,5,6,9,10,13,14],[3,4,5,9,11,12,14],[3,4,6,7,8,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,13],[3,5,6,8,11,12,14],[4,5,7,8,9,10,11]]; G[4487]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4488: autom. group order 2, simple B[4488]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,12,14],[1,3,5,7,11,13,14],[1,3,7,9,10,13,14],[1,4,5,10,11,12,13],[1,4,6,8,10,12,14],[1,4,6,9,11,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,8,11,13,14],[2,4,6,7,9,13,14],[2,4,7,9,10,12,13],[2,5,6,7,8,10,13],[2,5,6,9,11,12,14],[3,4,5,9,10,12,14],[3,4,6,7,8,12,14],[3,4,7,8,11,12,13],[3,5,6,7,9,11,12],[3,5,6,8,10,13,14],[4,5,7,8,9,10,11]]; G[4488]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4489: autom. group order 2, simple B[4489]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,13,14],[1,3,5,7,11,13,14],[1,3,7,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,8,10,12,14],[1,4,6,9,11,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,8,11,12,14],[2,4,6,7,9,13,14],[2,4,7,9,10,12,13],[2,5,6,7,8,10,13],[2,5,6,9,11,12,14],[3,4,5,9,10,13,14],[3,4,6,7,8,12,14],[3,4,7,8,11,12,13],[3,5,6,7,9,11,12],[3,5,6,8,10,13,14],[4,5,7,8,9,10,11]]; G[4489]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4490: autom. group order 2, simple B[4490]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,12,14],[1,3,5,7,11,13,14],[1,3,7,9,10,13,14],[1,4,5,10,11,12,13],[1,4,6,8,10,12,14],[1,4,6,9,11,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,8,11,13,14],[2,4,6,7,9,12,14],[2,4,7,9,11,12,13],[2,5,6,7,8,10,13],[2,5,6,9,10,13,14],[3,4,5,9,10,12,14],[3,4,6,7,8,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,11,12],[3,5,6,8,11,12,14],[4,5,7,8,9,10,11]]; G[4490]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4491: autom. group order 2, simple B[4491]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,13,14],[1,3,5,7,11,13,14],[1,3,7,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,8,10,12,14],[1,4,6,9,11,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,8,11,12,14],[2,4,6,7,9,12,14],[2,4,7,9,11,12,13],[2,5,6,7,8,10,13],[2,5,6,9,10,13,14],[3,4,5,9,10,13,14],[3,4,6,7,8,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,11,12],[3,5,6,8,11,12,14],[4,5,7,8,9,10,11]]; G[4491]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4492: autom. group order 2, simple B[4492]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,10,12,14],[1,3,5,7,11,13,14],[1,3,7,9,11,13,14],[1,4,5,10,11,12,13],[1,4,6,8,10,13,14],[1,4,6,9,11,12,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,8,11,13,14],[2,4,6,7,9,13,14],[2,4,7,8,11,12,13],[2,5,6,7,9,10,13],[2,5,6,9,11,12,14],[3,4,5,9,10,12,14],[3,4,6,7,8,12,14],[3,4,7,9,10,12,13],[3,5,6,7,8,11,12],[3,5,6,8,10,13,14],[4,5,7,8,9,10,11]]; G[4492]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4493: autom. group order 2, simple B[4493]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,10,13,14],[1,3,5,7,11,13,14],[1,3,7,9,11,12,14],[1,4,5,10,11,12,13],[1,4,6,8,10,13,14],[1,4,6,9,11,12,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,8,11,12,14],[2,4,6,7,9,13,14],[2,4,7,8,11,12,13],[2,5,6,7,9,10,12],[2,5,6,9,11,13,14],[3,4,5,9,10,13,14],[3,4,6,7,8,12,14],[3,4,7,9,10,12,13],[3,5,6,7,8,11,13],[3,5,6,8,10,12,14],[4,5,7,8,9,10,11]]; G[4493]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4494: autom. group order 2, simple B[4494]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,10,12,14],[1,3,5,7,11,13,14],[1,3,7,9,11,13,14],[1,4,5,10,11,12,13],[1,4,6,8,10,13,14],[1,4,6,9,11,12,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,8,11,13,14],[2,4,6,7,9,13,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,12],[2,5,6,9,10,13,14],[3,4,5,9,10,12,14],[3,4,6,7,8,12,14],[3,4,7,9,10,12,13],[3,5,6,7,8,10,13],[3,5,6,8,11,12,14],[4,5,7,8,9,10,11]]; G[4494]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4495: autom. group order 2, simple B[4495]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,10,13,14],[1,3,5,7,11,13,14],[1,3,7,9,11,12,14],[1,4,5,10,11,12,13],[1,4,6,8,10,13,14],[1,4,6,9,11,12,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,8,11,12,14],[2,4,6,7,9,13,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,13],[2,5,6,9,10,12,14],[3,4,5,9,10,13,14],[3,4,6,7,8,12,14],[3,4,7,9,10,12,13],[3,5,6,7,8,10,12],[3,5,6,8,11,13,14],[4,5,7,8,9,10,11]]; G[4495]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4496: autom. group order 2, simple B[4496]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,12,14],[1,3,5,7,11,13,14],[1,3,7,9,10,13,14],[1,4,5,10,11,12,13],[1,4,6,8,10,13,14],[1,4,6,9,11,12,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,8,10,13,14],[2,4,6,7,9,13,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,13],[2,5,6,9,10,12,14],[3,4,5,9,11,12,14],[3,4,6,7,8,12,14],[3,4,7,9,10,12,13],[3,5,6,7,8,10,12],[3,5,6,8,11,13,14],[4,5,7,8,9,10,11]]; G[4496]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4497: autom. group order 2, simple B[4497]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,13,14],[1,3,5,7,11,13,14],[1,3,7,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,8,10,13,14],[1,4,6,9,11,12,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,8,10,12,14],[2,4,6,7,9,13,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,12],[2,5,6,9,10,13,14],[3,4,5,9,11,13,14],[3,4,6,7,8,12,14],[3,4,7,9,10,12,13],[3,5,6,7,8,10,13],[3,5,6,8,11,12,14],[4,5,7,8,9,10,11]]; G[4497]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4498: autom. group order 2, simple B[4498]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,12,14],[1,3,5,7,11,13,14],[1,3,7,9,10,13,14],[1,4,5,10,11,12,13],[1,4,6,8,10,13,14],[1,4,6,9,11,12,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,8,11,13,14],[2,4,6,7,9,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,10,13],[2,5,6,9,11,13,14],[3,4,5,9,10,12,14],[3,4,6,7,8,13,14],[3,4,7,9,11,12,13],[3,5,6,7,8,11,12],[3,5,6,8,10,12,14],[4,5,7,8,9,10,11]]; G[4498]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4499: autom. group order 2, simple B[4499]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,13,14],[1,3,5,7,11,13,14],[1,3,7,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,8,10,13,14],[1,4,6,9,11,12,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,8,11,12,14],[2,4,6,7,9,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,10,13],[2,5,6,9,11,13,14],[3,4,5,9,10,13,14],[3,4,6,7,8,13,14],[3,4,7,9,11,12,13],[3,5,6,7,8,11,12],[3,5,6,8,10,12,14],[4,5,7,8,9,10,11]]; G[4499]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4500: autom. group order 2, simple B[4500]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,12,14],[1,3,5,7,11,13,14],[1,3,7,9,10,13,14],[1,4,5,10,11,12,13],[1,4,6,8,10,13,14],[1,4,6,9,11,12,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,8,11,13,14],[2,4,6,7,9,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,11,13],[2,5,6,9,10,13,14],[3,4,5,9,10,12,14],[3,4,6,7,8,13,14],[3,4,7,9,11,12,13],[3,5,6,7,8,10,12],[3,5,6,8,11,12,14],[4,5,7,8,9,10,11]]; G[4500]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4501: autom. group order 2, simple B[4501]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,13,14],[1,3,5,7,11,13,14],[1,3,7,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,8,10,13,14],[1,4,6,9,11,12,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,8,11,12,14],[2,4,6,7,9,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,11,13],[2,5,6,9,10,13,14],[3,4,5,9,10,13,14],[3,4,6,7,8,13,14],[3,4,7,9,11,12,13],[3,5,6,7,8,10,12],[3,5,6,8,11,12,14],[4,5,7,8,9,10,11]]; G[4501]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4502: autom. group order 2, simple B[4502]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,10,13,14],[1,3,5,7,11,13,14],[1,3,7,9,11,12,14],[1,4,5,10,11,12,13],[1,4,6,8,11,12,14],[1,4,6,9,10,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,8,11,13,14],[2,4,6,7,8,12,14],[2,4,7,9,10,12,13],[2,5,6,7,9,11,12],[2,5,6,9,11,13,14],[3,4,5,9,10,12,14],[3,4,6,7,9,13,14],[3,4,7,8,11,12,13],[3,5,6,7,8,10,13],[3,5,6,8,10,12,14],[4,5,7,8,9,10,11]]; G[4502]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4503: autom. group order 2, simple B[4503]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,10,13,14],[1,3,5,7,11,13,14],[1,3,7,9,11,12,14],[1,4,5,10,11,12,13],[1,4,6,8,11,12,14],[1,4,6,9,10,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,8,11,13,14],[2,4,6,7,8,12,14],[2,4,7,9,10,12,13],[2,5,6,7,9,11,13],[2,5,6,9,11,12,14],[3,4,5,9,10,12,14],[3,4,6,7,9,13,14],[3,4,7,8,11,12,13],[3,5,6,7,8,10,12],[3,5,6,8,10,13,14],[4,5,7,8,9,10,11]]; G[4503]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4504: autom. group order 2, simple B[4504]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,10,12,14],[1,3,5,7,11,13,14],[1,3,7,9,11,13,14],[1,4,5,10,11,12,13],[1,4,6,8,11,12,14],[1,4,6,9,10,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,8,11,13,14],[2,4,6,7,8,13,14],[2,4,7,9,11,12,13],[2,5,6,7,9,10,13],[2,5,6,9,11,12,14],[3,4,5,9,10,12,14],[3,4,6,7,9,12,14],[3,4,7,8,10,12,13],[3,5,6,7,8,11,12],[3,5,6,8,10,13,14],[4,5,7,8,9,10,11]]; G[4504]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4505: autom. group order 2, simple B[4505]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,10,13,14],[1,3,5,7,11,13,14],[1,3,7,9,11,12,14],[1,4,5,10,11,12,13],[1,4,6,8,11,12,14],[1,4,6,9,10,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,8,11,12,14],[2,4,6,7,8,13,14],[2,4,7,9,11,12,13],[2,5,6,7,9,10,12],[2,5,6,9,11,13,14],[3,4,5,9,10,13,14],[3,4,6,7,9,12,14],[3,4,7,8,10,12,13],[3,5,6,7,8,11,13],[3,5,6,8,10,12,14],[4,5,7,8,9,10,11]]; G[4505]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4506: autom. group order 2, simple B[4506]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,13,14],[1,3,5,7,11,13,14],[1,3,7,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,8,11,12,14],[1,4,6,9,10,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,8,10,13,14],[2,4,6,7,8,12,14],[2,4,7,9,10,12,13],[2,5,6,7,9,11,12],[2,5,6,9,11,13,14],[3,4,5,9,11,12,14],[3,4,6,7,9,13,14],[3,4,7,8,11,12,13],[3,5,6,7,8,10,13],[3,5,6,8,10,12,14],[4,5,7,8,9,10,11]]; G[4506]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4507: autom. group order 2, simple B[4507]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,13,14],[1,3,5,7,11,13,14],[1,3,7,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,8,11,12,14],[1,4,6,9,10,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,8,10,13,14],[2,4,6,7,8,12,14],[2,4,7,9,10,12,13],[2,5,6,7,9,11,13],[2,5,6,9,11,12,14],[3,4,5,9,11,12,14],[3,4,6,7,9,13,14],[3,4,7,8,11,12,13],[3,5,6,7,8,10,12],[3,5,6,8,10,13,14],[4,5,7,8,9,10,11]]; G[4507]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4508: autom. group order 2, simple B[4508]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,12,14],[1,3,5,7,11,13,14],[1,3,7,9,10,13,14],[1,4,5,10,11,12,13],[1,4,6,8,11,12,14],[1,4,6,9,10,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,8,10,13,14],[2,4,6,7,8,13,14],[2,4,7,9,11,12,13],[2,5,6,7,9,10,12],[2,5,6,9,11,13,14],[3,4,5,9,11,12,14],[3,4,6,7,9,12,14],[3,4,7,8,10,12,13],[3,5,6,7,8,11,13],[3,5,6,8,10,12,14],[4,5,7,8,9,10,11]]; G[4508]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4509: autom. group order 2, simple B[4509]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,13,14],[1,3,5,7,11,13,14],[1,3,7,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,8,11,12,14],[1,4,6,9,10,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,8,10,12,14],[2,4,6,7,8,13,14],[2,4,7,9,11,12,13],[2,5,6,7,9,10,13],[2,5,6,9,11,12,14],[3,4,5,9,11,13,14],[3,4,6,7,9,12,14],[3,4,7,8,10,12,13],[3,5,6,7,8,11,12],[3,5,6,8,10,13,14],[4,5,7,8,9,10,11]]; G[4509]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4510: autom. group order 2, simple B[4510]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,12,14],[1,3,5,7,11,13,14],[1,3,7,9,10,13,14],[1,4,5,10,11,12,13],[1,4,6,8,11,12,14],[1,4,6,9,10,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,8,10,13,14],[2,4,6,7,8,13,14],[2,4,7,9,11,12,13],[2,5,6,7,9,11,13],[2,5,6,9,10,12,14],[3,4,5,9,11,12,14],[3,4,6,7,9,12,14],[3,4,7,8,10,12,13],[3,5,6,7,8,10,12],[3,5,6,8,11,13,14],[4,5,7,8,9,10,11]]; G[4510]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4511: autom. group order 2, simple B[4511]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,9,12,13],[1,2,5,7,10,12,14],[1,2,7,8,11,13,14],[1,3,5,7,11,13,14],[1,3,7,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,8,11,12,14],[1,4,6,9,10,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,8,10,12,14],[2,4,6,7,8,13,14],[2,4,7,9,11,12,13],[2,5,6,7,9,11,12],[2,5,6,9,10,13,14],[3,4,5,9,11,13,14],[3,4,6,7,9,12,14],[3,4,7,8,10,12,13],[3,5,6,7,8,10,13],[3,5,6,8,11,12,14],[4,5,7,8,9,10,11]]; G[4511]:=Group([(2,3)(8,9)(10,11)(12,13)]); # Design 4512: autom. group order 2, simple B[4512]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,6,7,9,10,12],[1,3,5,9,12,13,14],[1,3,7,8,10,11,14],[1,4,5,7,9,13,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,13],[1,5,8,9,10,11,12],[1,6,7,8,9,10,14],[2,3,7,8,9,11,13],[2,3,7,8,12,13,14],[2,4,5,8,10,12,14],[2,4,6,8,9,11,14],[2,4,7,9,10,12,13],[2,5,6,7,11,12,14],[2,5,9,10,11,13,14],[3,4,5,7,10,11,14],[3,4,6,8,9,12,14],[3,4,6,9,10,11,13],[3,5,6,7,9,11,12],[3,5,6,8,10,12,13],[4,5,6,7,8,10,13]]; G[4512]:=Group([(2,11)(3,12)(5,13)(6,8)(9,14)]); # Design 4513: autom. group order 2, simple, residual B[4513]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,6,7,9,10,12],[1,3,5,9,12,13,14],[1,3,7,8,10,11,14],[1,4,5,7,8,13,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,13],[1,5,8,9,10,11,12],[1,6,7,8,9,10,14],[2,3,7,8,9,12,13],[2,3,7,9,11,13,14],[2,4,5,9,10,11,14],[2,4,6,8,9,12,14],[2,4,7,8,10,11,13],[2,5,6,7,11,12,14],[2,5,8,10,12,13,14],[3,4,5,7,10,12,14],[3,4,6,8,9,11,14],[3,4,6,8,10,12,13],[3,5,6,7,8,11,12],[3,5,6,9,10,11,13],[4,5,6,7,9,10,13]]; G[4513]:=Group([(2,12)(3,11)(5,13)(6,9)(8,14)]); # Design 4514: autom. group order 2, simple B[4514]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,6,7,9,12,14],[1,3,5,9,10,12,13],[1,3,7,10,11,12,14],[1,4,5,7,8,12,14],[1,4,6,9,11,13,14],[1,4,7,8,9,10,13],[1,5,8,9,10,11,14],[1,6,7,8,11,12,13],[2,3,7,8,9,11,14],[2,3,8,9,11,12,13],[2,4,5,11,12,13,14],[2,4,6,7,9,10,11],[2,4,7,8,10,12,13],[2,5,6,8,10,12,14],[2,5,7,9,10,13,14],[3,4,5,7,11,13,14],[3,4,6,8,9,12,14],[3,4,6,8,10,13,14],[3,5,6,7,8,10,11],[3,5,6,7,9,12,13],[4,5,6,9,10,11,12]]; G[4514]:=Group([(1,9)(2,12)(4,13)(8,10)]); # Design 4515: autom. group order 2, simple B[4515]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,6,7,9,12,14],[1,3,5,9,10,12,13],[1,3,7,10,11,12,14],[1,4,5,7,8,12,14],[1,4,6,9,11,13,14],[1,4,7,8,9,10,13],[1,5,8,9,10,11,14],[1,6,7,8,11,12,13],[2,3,7,8,9,11,14],[2,3,8,9,11,12,13],[2,4,5,11,12,13,14],[2,4,6,7,9,10,11],[2,4,7,8,10,12,13],[2,5,6,8,10,12,14],[2,5,7,9,10,13,14],[3,4,5,7,11,13,14],[3,4,6,8,10,13,14],[3,4,6,9,10,12,14],[3,5,6,7,8,10,11],[3,5,6,7,9,12,13],[4,5,6,8,9,11,12]]; G[4515]:=Group([(1,9)(2,12)(4,13)(8,10)]); # Design 4516: autom. group order 2, simple, residual B[4516]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,6,7,9,12,14],[1,3,5,9,10,12,13],[1,3,7,10,11,12,14],[1,4,5,7,8,12,14],[1,4,6,9,11,13,14],[1,4,7,8,9,10,13],[1,5,8,11,12,13,14],[1,6,7,8,9,10,11],[2,3,7,8,9,11,14],[2,3,8,9,11,12,13],[2,4,5,9,10,11,14],[2,4,6,7,11,12,13],[2,4,7,8,10,12,13],[2,5,6,8,10,12,14],[2,5,7,9,10,13,14],[3,4,5,7,11,13,14],[3,4,6,8,10,13,14],[3,4,6,9,10,12,14],[3,5,6,7,8,10,11],[3,5,6,7,9,12,13],[4,5,6,8,9,11,12]]; G[4516]:=Group([(1,9)(2,12)(4,13)(8,10)]); # Design 4517: autom. group order 2, simple, residual B[4517]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,6,7,9,12,14],[1,3,5,9,10,12,13],[1,3,7,10,11,12,14],[1,4,5,7,8,12,14],[1,4,6,9,11,13,14],[1,4,8,9,10,13,14],[1,5,7,8,9,10,11],[1,6,7,8,11,12,13],[2,3,7,8,9,11,14],[2,3,8,9,11,12,13],[2,4,5,11,12,13,14],[2,4,6,7,9,10,11],[2,4,7,8,10,12,13],[2,5,6,8,10,12,14],[2,5,7,9,10,13,14],[3,4,5,7,11,13,14],[3,4,6,7,8,10,13],[3,4,6,8,9,12,14],[3,5,6,7,9,12,13],[3,5,6,8,10,11,14],[4,5,6,9,10,11,12]]; G[4517]:=Group([(1,9)(2,12)(4,13)(8,10)]); # Design 4518: autom. group order 2, simple, residual B[4518]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,6,7,9,12,14],[1,3,5,9,10,12,13],[1,3,7,10,11,12,14],[1,4,5,7,8,12,14],[1,4,6,9,11,13,14],[1,4,8,9,10,13,14],[1,5,7,8,9,10,11],[1,6,7,8,11,12,13],[2,3,7,8,9,11,14],[2,3,8,9,11,12,13],[2,4,5,11,12,13,14],[2,4,6,7,9,10,11],[2,4,7,8,10,12,13],[2,5,6,8,10,12,14],[2,5,7,9,10,13,14],[3,4,5,7,11,13,14],[3,4,6,7,8,10,13],[3,4,6,9,10,12,14],[3,5,6,7,9,12,13],[3,5,6,8,10,11,14],[4,5,6,8,9,11,12]]; G[4518]:=Group([(1,9)(2,12)(4,13)(8,10)]); # Design 4519: autom. group order 2, simple B[4519]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,6,7,9,12,13],[1,3,5,9,11,12,14],[1,3,7,8,9,10,11],[1,4,5,8,12,13,14],[1,4,6,7,11,12,14],[1,4,9,10,11,13,14],[1,5,7,8,10,13,14],[1,6,7,8,9,10,12],[2,3,7,8,11,13,14],[2,3,7,9,12,13,14],[2,4,5,7,9,10,14],[2,4,6,8,9,10,14],[2,4,8,9,11,12,13],[2,5,6,10,11,12,14],[2,5,7,8,10,11,12],[3,4,5,7,10,12,13],[3,4,6,7,8,11,14],[3,4,6,8,10,12,13],[3,5,6,8,9,12,14],[3,5,6,9,10,11,13],[4,5,6,7,9,11,13]]; G[4519]:=Group([(1,11)(3,12)(4,10)(6,8)(9,14)]); # Design 4520: autom. group order 2, simple, residual B[4520]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,6,7,9,12,14],[1,3,5,9,10,12,13],[1,3,7,10,11,12,14],[1,4,5,8,11,12,14],[1,4,6,9,11,13,14],[1,4,7,8,9,10,13],[1,5,7,8,9,10,14],[1,6,7,8,11,12,13],[2,3,7,8,9,11,14],[2,3,8,9,11,12,13],[2,4,5,7,12,13,14],[2,4,6,7,9,10,11],[2,4,7,8,10,12,13],[2,5,6,8,10,12,14],[2,5,9,10,11,13,14],[3,4,5,7,11,13,14],[3,4,6,8,9,12,14],[3,4,6,8,10,13,14],[3,5,6,7,8,10,11],[3,5,6,7,9,12,13],[4,5,6,9,10,11,12]]; G[4520]:=Group([(1,9)(2,12)(4,13)(8,10)]); # Design 4521: autom. group order 2, simple, residual B[4521]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,6,7,9,12,14],[1,3,5,9,10,12,13],[1,3,7,10,11,12,14],[1,4,5,8,11,12,14],[1,4,6,9,11,13,14],[1,4,7,8,9,10,13],[1,5,7,8,9,10,14],[1,6,7,8,11,12,13],[2,3,7,8,9,11,14],[2,3,8,9,11,12,13],[2,4,5,7,12,13,14],[2,4,6,7,9,10,11],[2,4,7,8,10,12,13],[2,5,6,8,10,12,14],[2,5,9,10,11,13,14],[3,4,5,7,11,13,14],[3,4,6,8,10,13,14],[3,4,6,9,10,12,14],[3,5,6,7,8,10,11],[3,5,6,7,9,12,13],[4,5,6,8,9,11,12]]; G[4521]:=Group([(1,9)(2,12)(4,13)(8,10)]); # Design 4522: autom. group order 2, simple, residual B[4522]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,6,7,9,12,14],[1,3,5,9,10,12,13],[1,3,7,10,11,12,14],[1,4,5,8,11,12,14],[1,4,6,9,11,13,14],[1,4,7,8,9,10,13],[1,5,7,8,12,13,14],[1,6,7,8,9,10,11],[2,3,7,8,9,11,14],[2,3,8,9,11,12,13],[2,4,5,7,9,10,14],[2,4,6,7,11,12,13],[2,4,7,8,10,12,13],[2,5,6,8,10,12,14],[2,5,9,10,11,13,14],[3,4,5,7,11,13,14],[3,4,6,8,10,13,14],[3,4,6,9,10,12,14],[3,5,6,7,8,10,11],[3,5,6,7,9,12,13],[4,5,6,8,9,11,12]]; G[4522]:=Group([(1,9)(2,12)(4,13)(8,10)]); # Design 4523: autom. group order 2, simple, residual B[4523]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,11,12,14],[1,2,6,8,9,13,14],[1,3,5,7,11,13,14],[1,3,7,9,10,11,14],[1,4,5,7,9,12,13],[1,4,6,10,12,13,14],[1,4,7,8,9,10,14],[1,5,8,9,11,12,13],[1,6,7,8,10,11,12],[2,3,7,9,10,12,13],[2,3,8,9,11,12,14],[2,4,5,10,11,13,14],[2,4,6,7,9,11,14],[2,4,7,8,11,12,13],[2,5,6,7,9,10,12],[2,5,7,8,10,13,14],[3,4,5,8,10,12,14],[3,4,6,7,8,11,13],[3,4,6,9,12,13,14],[3,5,6,7,8,12,14],[3,5,6,9,10,11,13],[4,5,6,8,9,10,11]]; G[4523]:=Group([(1,14)(2,12)(4,8)(9,10)]); # Design 4524: autom. group order 2, simple, residual B[4524]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,11,12,14],[1,2,6,8,9,13,14],[1,3,5,7,11,13,14],[1,3,7,9,10,11,14],[1,4,5,7,9,12,13],[1,4,6,10,12,13,14],[1,4,7,8,9,10,14],[1,5,8,10,11,12,13],[1,6,7,8,9,11,12],[2,3,7,9,10,12,13],[2,3,8,9,11,12,14],[2,4,5,9,11,13,14],[2,4,6,7,10,11,14],[2,4,7,8,11,12,13],[2,5,6,7,9,10,12],[2,5,7,8,10,13,14],[3,4,5,8,10,12,14],[3,4,6,7,8,11,13],[3,4,6,9,12,13,14],[3,5,6,7,8,12,14],[3,5,6,9,10,11,13],[4,5,6,8,9,10,11]]; G[4524]:=Group([(1,14)(2,12)(4,8)(9,10)]); # Design 4525: autom. group order 2, simple, residual B[4525]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,11,13,14],[1,2,6,8,9,10,12],[1,3,5,7,8,12,13],[1,3,7,9,10,11,14],[1,4,5,7,9,13,14],[1,4,6,9,11,12,13],[1,4,8,11,12,13,14],[1,5,7,8,10,11,12],[1,6,7,8,9,10,14],[2,3,7,8,9,11,13],[2,3,8,9,12,13,14],[2,4,5,8,10,11,14],[2,4,6,7,8,12,14],[2,4,7,9,10,11,13],[2,5,6,7,9,11,12],[2,5,7,10,12,13,14],[3,4,5,9,10,12,14],[3,4,6,7,8,11,14],[3,4,6,7,10,12,13],[3,5,6,8,10,11,13],[3,5,6,9,11,12,14],[4,5,6,8,9,10,13]]; G[4525]:=Group([(2,12)(3,11)(5,13)(6,8)(7,14)]); # Design 4526: autom. group order 2, simple B[4526]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,6,9,10,12,14],[1,3,5,7,12,13,14],[1,3,7,8,9,10,11],[1,4,5,7,9,13,14],[1,4,6,9,11,12,13],[1,4,8,11,12,13,14],[1,5,7,8,10,11,12],[1,6,7,8,9,10,14],[2,3,7,8,9,12,13],[2,3,8,9,11,13,14],[2,4,5,8,10,12,14],[2,4,6,7,8,11,14],[2,4,7,9,10,12,13],[2,5,6,7,9,11,12],[2,5,7,10,11,13,14],[3,4,5,9,10,11,14],[3,4,6,7,8,12,14],[3,4,6,7,10,11,13],[3,5,6,8,10,12,13],[3,5,6,9,11,12,14],[4,5,6,8,9,10,13]]; G[4526]:=Group([(2,11)(3,12)(5,13)(6,8)(7,14)]); # Design 4527: autom. group order 2, simple B[4527]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,6,9,10,12,14],[1,3,5,7,12,13,14],[1,3,7,8,11,12,14],[1,4,5,9,10,13,14],[1,4,6,7,8,9,12],[1,4,9,11,12,13,14],[1,5,7,8,9,10,11],[1,6,7,8,10,11,13],[2,3,7,9,10,11,14],[2,3,8,9,10,12,13],[2,4,5,7,11,12,13],[2,4,6,7,9,11,14],[2,4,7,8,10,12,13],[2,5,6,8,11,12,14],[2,5,7,8,9,13,14],[3,4,5,8,10,11,14],[3,4,6,7,10,13,14],[3,4,6,8,9,11,13],[3,5,6,7,9,10,12],[3,5,6,9,11,12,13],[4,5,6,8,10,12,14]]; G[4527]:=Group([(1,14)(3,9)(4,7)(5,11)(8,10)(12,13)]); # Design 4528: autom. group order 2, simple, residual B[4528]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,11,12,14],[1,2,6,8,9,13,14],[1,3,5,7,11,13,14],[1,3,7,9,10,11,14],[1,4,5,9,11,12,13],[1,4,6,10,12,13,14],[1,4,7,8,9,10,14],[1,5,7,8,9,12,13],[1,6,7,8,10,11,12],[2,3,7,9,10,12,13],[2,3,8,9,11,12,14],[2,4,5,7,10,13,14],[2,4,6,7,9,11,14],[2,4,7,8,11,12,13],[2,5,6,7,9,10,12],[2,5,8,10,11,13,14],[3,4,5,8,10,12,14],[3,4,6,7,8,11,13],[3,4,6,9,12,13,14],[3,5,6,7,8,12,14],[3,5,6,9,10,11,13],[4,5,6,8,9,10,11]]; G[4528]:=Group([(1,14)(2,12)(4,8)(9,10)]); # Design 4529: autom. group order 2, simple, residual B[4529]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,11,12,14],[1,2,6,8,9,13,14],[1,3,5,7,11,13,14],[1,3,7,9,10,11,14],[1,4,5,9,11,12,13],[1,4,6,10,12,13,14],[1,4,7,8,9,10,14],[1,5,7,8,10,12,13],[1,6,7,8,9,11,12],[2,3,7,9,10,12,13],[2,3,8,9,11,12,14],[2,4,5,7,9,13,14],[2,4,6,7,10,11,14],[2,4,7,8,11,12,13],[2,5,6,7,9,10,12],[2,5,8,10,11,13,14],[3,4,5,8,10,12,14],[3,4,6,7,8,11,13],[3,4,6,9,12,13,14],[3,5,6,7,8,12,14],[3,5,6,9,10,11,13],[4,5,6,8,9,10,11]]; G[4529]:=Group([(1,14)(2,12)(4,8)(9,10)]); # Design 4530: autom. group order 2, simple B[4530]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,6,9,12,13,14],[1,3,5,7,11,12,14],[1,3,8,9,10,11,14],[1,4,5,8,12,13,14],[1,4,6,7,9,11,12],[1,4,7,10,11,13,14],[1,5,7,8,9,10,13],[1,6,7,8,9,10,12],[2,3,7,8,9,11,13],[2,3,7,9,12,13,14],[2,4,5,7,9,10,14],[2,4,6,7,8,10,14],[2,4,7,8,11,12,13],[2,5,6,9,10,11,12],[2,5,8,10,11,12,14],[3,4,5,9,10,12,13],[3,4,6,8,9,11,14],[3,4,6,8,10,12,13],[3,5,6,7,8,12,14],[3,5,6,7,10,11,13],[4,5,6,9,11,13,14]]; G[4530]:=Group([(1,11)(3,12)(4,10)(6,8)(7,14)]); # Design 4531: autom. group order 2, simple B[4531]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,7,12,14],[1,2,6,8,10,13,14],[1,3,5,9,12,13,14],[1,3,7,9,10,11,14],[1,4,5,8,11,13,14],[1,4,7,8,9,10,12],[1,4,7,11,12,13,14],[1,5,6,8,9,11,12],[1,6,7,8,9,10,13],[2,3,7,8,9,11,14],[2,3,7,8,12,13,14],[2,4,5,9,10,13,14],[2,4,6,7,9,12,13],[2,4,6,8,9,11,14],[2,5,7,8,10,11,12],[2,5,9,10,11,12,13],[3,4,5,7,8,10,13],[3,4,6,8,11,12,13],[3,4,6,9,10,12,14],[3,5,6,7,9,11,13],[3,5,6,8,10,12,14],[4,5,6,7,10,11,14]]; G[4531]:=Group([(1,10)(3,11)(4,12)(6,13)(7,9)]); # Design 4532: autom. group order 2, simple B[4532]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,7,12,14],[1,2,6,8,10,13,14],[1,3,5,9,12,13,14],[1,3,7,9,10,11,14],[1,4,5,8,11,13,14],[1,4,7,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,8,9,11,12],[1,6,7,8,9,10,13],[2,3,7,8,9,11,14],[2,3,7,8,12,13,14],[2,4,5,9,10,13,14],[2,4,6,7,9,12,13],[2,4,6,8,9,11,14],[2,5,7,8,10,11,12],[2,5,9,10,11,12,13],[3,4,5,7,8,10,13],[3,4,6,8,9,10,12],[3,4,6,11,12,13,14],[3,5,6,7,9,11,13],[3,5,6,8,10,12,14],[4,5,6,7,10,11,14]]; G[4532]:=Group([(1,10)(3,11)(4,12)(6,13)(7,9)]); # Design 4533: autom. group order 2, simple B[4533]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,7,12,14],[1,2,6,8,10,13,14],[1,3,5,8,9,12,13],[1,3,7,9,10,11,14],[1,4,5,8,11,13,14],[1,4,7,8,9,10,12],[1,4,7,11,12,13,14],[1,5,6,9,11,12,14],[1,6,7,8,9,10,13],[2,3,7,8,9,11,14],[2,3,7,8,12,13,14],[2,4,5,9,10,13,14],[2,4,6,7,9,12,13],[2,4,6,8,9,11,14],[2,5,7,8,10,11,12],[2,5,9,10,11,12,13],[3,4,5,7,10,13,14],[3,4,6,8,11,12,13],[3,4,6,9,10,12,14],[3,5,6,7,9,11,13],[3,5,6,8,10,12,14],[4,5,6,7,8,10,11]]; G[4533]:=Group([(1,10)(3,11)(4,12)(6,13)(7,9)]); # Design 4534: autom. group order 2, simple B[4534]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,6,9,10,13,14],[1,3,5,7,9,12,13],[1,3,7,8,10,11,14],[1,4,5,8,11,13,14],[1,4,7,8,9,10,12],[1,4,7,11,12,13,14],[1,5,6,9,11,12,14],[1,6,7,8,9,10,13],[2,3,7,8,9,11,14],[2,3,8,9,12,13,14],[2,4,5,7,10,13,14],[2,4,6,7,8,12,13],[2,4,6,7,9,11,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,9,10,13,14],[3,4,6,8,10,12,14],[3,4,6,9,11,12,13],[3,5,6,7,8,11,13],[3,5,6,7,10,12,14],[4,5,6,8,9,10,11]]; G[4534]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 4535: autom. group order 2, simple B[4535]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,6,9,10,13,14],[1,3,5,7,9,12,13],[1,3,7,8,10,11,14],[1,4,5,8,11,13,14],[1,4,7,8,10,12,14],[1,4,7,9,11,12,13],[1,5,6,9,11,12,14],[1,6,7,8,9,10,13],[2,3,7,8,9,11,14],[2,3,8,9,12,13,14],[2,4,5,7,10,13,14],[2,4,6,7,8,12,13],[2,4,6,7,9,11,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,9,10,13,14],[3,4,6,8,9,10,12],[3,4,6,11,12,13,14],[3,5,6,7,8,11,13],[3,5,6,7,10,12,14],[4,5,6,8,9,10,11]]; G[4535]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 4536: autom. group order 2, simple B[4536]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,6,9,10,13,14],[1,3,5,7,12,13,14],[1,3,7,8,10,11,14],[1,4,5,8,9,11,13],[1,4,7,8,9,10,12],[1,4,7,11,12,13,14],[1,5,6,9,11,12,14],[1,6,7,8,9,10,13],[2,3,7,8,9,11,14],[2,3,8,9,12,13,14],[2,4,5,7,10,13,14],[2,4,6,7,8,12,13],[2,4,6,7,9,11,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,9,10,13,14],[3,4,6,8,10,12,14],[3,4,6,9,11,12,13],[3,5,6,7,8,11,13],[3,5,6,7,9,10,12],[4,5,6,8,10,11,14]]; G[4536]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 4537: autom. group order 2, simple B[4537]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,6,9,10,13,14],[1,3,5,7,12,13,14],[1,3,7,8,10,11,14],[1,4,5,8,9,11,13],[1,4,7,8,10,12,14],[1,4,7,9,11,12,13],[1,5,6,9,11,12,14],[1,6,7,8,9,10,13],[2,3,7,8,9,11,14],[2,3,8,9,12,13,14],[2,4,5,7,10,13,14],[2,4,6,7,8,12,13],[2,4,6,7,9,11,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,9,10,13,14],[3,4,6,8,9,10,12],[3,4,6,11,12,13,14],[3,5,6,7,8,11,13],[3,5,6,7,9,10,12],[4,5,6,8,10,11,14]]; G[4537]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 4538: autom. group order 2, simple B[4538]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,6,9,10,13,14],[1,3,5,9,12,13,14],[1,3,7,8,10,11,14],[1,4,5,7,9,11,13],[1,4,7,8,9,10,12],[1,4,8,11,12,13,14],[1,5,6,7,11,12,14],[1,6,7,8,9,10,13],[2,3,7,8,9,11,14],[2,3,7,9,12,13,14],[2,4,5,7,10,13,14],[2,4,6,7,8,12,13],[2,4,6,8,9,11,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,8,10,13,14],[3,4,6,7,10,12,14],[3,4,6,9,11,12,13],[3,5,6,7,8,11,13],[3,5,6,8,9,10,12],[4,5,6,9,10,11,14]]; G[4538]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 4539: autom. group order 2, simple B[4539]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,6,9,10,13,14],[1,3,5,9,12,13,14],[1,3,7,8,10,11,14],[1,4,5,7,11,13,14],[1,4,7,8,9,10,12],[1,4,8,11,12,13,14],[1,5,6,7,9,11,12],[1,6,7,8,9,10,13],[2,3,7,8,9,11,14],[2,3,7,9,12,13,14],[2,4,5,7,10,13,14],[2,4,6,7,8,12,13],[2,4,6,8,9,11,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,8,9,10,13],[3,4,6,7,10,12,14],[3,4,6,9,11,12,13],[3,5,6,7,8,11,13],[3,5,6,8,10,12,14],[4,5,6,9,10,11,14]]; G[4539]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 4540: autom. group order 2, simple B[4540]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,6,9,10,13,14],[1,3,5,9,12,13,14],[1,3,7,8,10,11,14],[1,4,5,7,11,13,14],[1,4,7,8,10,12,14],[1,4,8,9,11,12,13],[1,5,6,7,9,11,12],[1,6,7,8,9,10,13],[2,3,7,8,9,11,14],[2,3,7,9,12,13,14],[2,4,5,7,10,13,14],[2,4,6,7,8,12,13],[2,4,6,8,9,11,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,8,9,10,13],[3,4,6,7,9,10,12],[3,4,6,11,12,13,14],[3,5,6,7,8,11,13],[3,5,6,8,10,12,14],[4,5,6,9,10,11,14]]; G[4540]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 4541: autom. group order 2, simple, residual B[4541]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,6,10,11,13],[1,2,7,8,9,10,11],[1,3,5,8,10,12,14],[1,3,6,8,9,12,13],[1,4,5,11,12,13,14],[1,4,6,9,10,12,14],[1,4,7,8,9,11,14],[1,5,7,9,11,12,13],[1,6,7,8,10,13,14],[2,3,7,9,10,12,14],[2,3,8,11,12,13,14],[2,4,5,8,10,13,14],[2,4,6,7,11,12,14],[2,4,6,8,9,12,13],[2,5,6,8,9,11,14],[2,5,7,9,10,12,13],[3,4,5,7,9,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,13],[3,5,6,7,8,11,12],[3,5,6,9,10,11,14],[4,5,6,7,8,10,12]]; G[4541]:=Group([(1,11)(2,10)(5,13)(7,9)]); # Design 4542: autom. group order 2, simple, residual B[4542]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,6,10,11,13],[1,2,7,8,9,10,11],[1,3,5,8,10,12,14],[1,3,6,8,9,12,13],[1,4,5,11,12,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,13,14],[1,5,7,9,11,12,13],[1,6,7,8,9,11,14],[2,3,7,9,10,12,14],[2,3,8,11,12,13,14],[2,4,5,8,9,11,14],[2,4,6,7,11,12,14],[2,4,6,8,9,12,13],[2,5,6,8,10,13,14],[2,5,7,9,10,12,13],[3,4,5,7,9,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,13],[3,5,6,7,8,11,12],[3,5,6,9,10,11,14],[4,5,6,7,8,10,12]]; G[4542]:=Group([(1,11)(2,10)(5,13)(7,9)]); # Design 4543: autom. group order 2, simple, residual B[4543]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,6,10,11,13],[1,2,8,10,11,12,14],[1,3,5,9,10,12,14],[1,3,6,9,12,13,14],[1,4,5,8,11,13,14],[1,4,6,7,8,10,12],[1,4,7,8,9,10,13],[1,5,7,9,11,12,13],[1,6,7,8,9,11,14],[2,3,7,8,9,10,14],[2,3,7,8,11,12,13],[2,4,5,7,9,11,14],[2,4,6,8,9,12,13],[2,4,6,9,11,12,14],[2,5,6,8,10,13,14],[2,5,7,9,10,12,13],[3,4,5,8,12,13,14],[3,4,6,9,10,11,13],[3,4,7,10,11,13,14],[3,5,6,7,8,11,12],[3,5,6,8,9,10,11],[4,5,6,7,10,12,14]]; G[4543]:=Group([(1,11)(2,10)(5,13)(7,9)(8,14)]); # Design 4544: autom. group order 2, simple B[4544]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,6,10,11,13],[1,2,8,10,11,12,14],[1,3,5,9,10,12,14],[1,3,6,8,9,12,13],[1,4,5,8,11,13,14],[1,4,6,7,8,10,14],[1,4,7,9,10,12,13],[1,5,7,9,11,13,14],[1,6,7,8,9,11,12],[2,3,7,8,9,10,14],[2,3,7,11,12,13,14],[2,4,5,7,9,11,12],[2,4,6,8,9,11,14],[2,4,6,9,12,13,14],[2,5,6,8,10,12,13],[2,5,7,8,9,10,13],[3,4,5,8,12,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,13],[3,5,6,7,8,11,12],[3,5,6,9,10,11,14],[4,5,6,7,10,12,14]]; G[4544]:=Group([(1,11)(2,10)(5,13)(7,9)]); # Design 4545: autom. group order 2, simple, residual B[4545]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,6,10,11,13],[1,2,8,10,12,13,14],[1,3,5,8,10,12,14],[1,3,6,9,11,12,14],[1,4,5,9,11,13,14],[1,4,6,7,9,10,12],[1,4,7,8,9,10,13],[1,5,7,8,11,12,13],[1,6,7,8,9,11,14],[2,3,7,8,9,10,14],[2,3,7,9,11,12,13],[2,4,5,7,8,11,14],[2,4,6,8,9,12,13],[2,4,6,8,11,12,14],[2,5,6,9,10,13,14],[2,5,7,9,10,11,12],[3,4,5,9,12,13,14],[3,4,6,8,10,11,13],[3,4,7,10,11,13,14],[3,5,6,7,8,12,13],[3,5,6,8,9,10,11],[4,5,6,7,10,12,14]]; G[4545]:=Group([(1,11)(2,10)(5,13)(7,8)(9,14)]); # Design 4546: autom. group order 2, simple, residual B[4546]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,6,10,11,13],[1,2,8,9,10,12,13],[1,3,5,8,11,12,14],[1,3,6,8,12,13,14],[1,4,5,9,10,13,14],[1,4,6,7,9,11,12],[1,4,7,8,9,11,13],[1,5,7,10,11,12,14],[1,6,7,8,9,10,14],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,7,8,10,14],[2,4,6,8,10,12,14],[2,4,6,9,11,12,14],[2,5,6,9,11,13,14],[2,5,7,8,11,12,13],[3,4,5,9,12,13,14],[3,4,6,8,10,11,13],[3,4,7,10,11,13,14],[3,5,6,7,9,10,12],[3,5,6,8,9,10,11],[4,5,6,7,8,12,13]]; G[4546]:=Group([(1,10)(2,11)(5,13)(7,8)(9,14)]); # Design 4547: autom. group order 2, simple, residual B[4547]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,6,10,11,13],[1,2,8,10,12,13,14],[1,3,5,8,10,12,14],[1,3,6,9,11,12,14],[1,4,5,9,11,13,14],[1,4,6,7,9,10,12],[1,4,7,8,9,11,14],[1,5,7,8,11,12,13],[1,6,7,8,9,10,13],[2,3,7,8,9,10,14],[2,3,7,9,11,12,13],[2,4,5,9,10,13,14],[2,4,6,8,9,12,13],[2,4,6,8,11,12,14],[2,5,6,7,8,11,14],[2,5,7,9,10,11,12],[3,4,5,7,8,12,13],[3,4,6,8,10,11,13],[3,4,7,10,11,13,14],[3,5,6,8,9,10,11],[3,5,6,9,12,13,14],[4,5,6,7,10,12,14]]; G[4547]:=Group([(1,11)(2,10)(5,13)(7,8)(9,14)]); # Design 4548: autom. group order 2, simple B[4548]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,11,13,14],[1,2,7,8,10,12,13],[1,3,5,7,8,9,14],[1,3,6,7,9,11,12],[1,4,5,11,12,13,14],[1,4,6,8,9,10,13],[1,4,7,9,12,13,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,14],[2,3,7,9,10,11,13],[2,3,8,9,12,13,14],[2,4,5,9,10,12,14],[2,4,6,7,8,11,14],[2,4,6,8,9,11,12],[2,5,6,7,8,12,13],[2,5,7,9,10,11,14],[3,4,5,8,10,11,13],[3,4,6,7,10,12,14],[3,4,7,8,11,13,14],[3,5,6,8,10,12,14],[3,5,6,9,11,12,13],[4,5,6,7,9,10,13]]; G[4548]:=Group([(1,8)(3,12)(4,13)(5,7)(9,10)(11,14)]); # Design 4549: autom. group order 2, simple, residual B[4549]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,10,12,13,14],[1,3,5,7,11,12,14],[1,3,6,7,9,12,13],[1,4,5,9,10,13,14],[1,4,6,8,11,12,14],[1,4,7,8,9,11,13],[1,5,8,9,10,11,12],[1,6,7,8,9,10,14],[2,3,7,8,9,11,14],[2,3,8,9,10,12,13],[2,4,5,7,8,10,14],[2,4,6,7,9,10,12],[2,4,6,9,11,12,14],[2,5,6,9,11,13,14],[2,5,7,8,11,12,13],[3,4,5,9,12,13,14],[3,4,6,8,10,11,13],[3,4,7,10,11,13,14],[3,5,6,7,9,10,11],[3,5,6,8,10,12,14],[4,5,6,7,8,12,13]]; G[4549]:=Group([(1,10)(2,11)(5,13)(7,8)(9,14)]); # Design 4550: autom. group order 2, simple, residual B[4550]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,9,10,11],[1,2,7,9,12,13,14],[1,3,5,7,10,12,13],[1,3,6,7,11,13,14],[1,4,5,9,10,13,14],[1,4,6,8,11,12,13],[1,4,7,8,10,11,14],[1,5,8,9,11,12,14],[1,6,7,8,9,10,12],[2,3,7,8,9,11,12],[2,3,8,9,10,13,14],[2,4,5,11,12,13,14],[2,4,6,7,9,11,14],[2,4,6,8,10,12,13],[2,5,6,7,10,12,14],[2,5,7,8,10,11,13],[3,4,5,7,8,12,14],[3,4,6,9,10,12,14],[3,4,7,9,10,11,13],[3,5,6,8,10,11,14],[3,5,6,9,11,12,13],[4,5,6,7,8,9,13]]; G[4550]:=Group([(1,6)(2,8)(3,13)(5,12)(7,11)(9,10)]); # Design 4551: autom. group order 2, simple, residual B[4551]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,10,12,13],[1,3,5,7,10,11,14],[1,3,6,8,9,12,14],[1,4,5,7,9,13,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,14],[1,5,8,9,10,11,12],[1,6,7,8,9,10,13],[2,3,7,8,9,11,14],[2,3,7,9,11,12,13],[2,4,5,9,12,13,14],[2,4,6,7,8,10,12],[2,4,6,9,10,11,14],[2,5,6,7,8,12,14],[2,5,8,10,11,13,14],[3,4,5,8,10,12,13],[3,4,6,8,9,11,13],[3,4,7,8,10,13,14],[3,5,6,7,11,12,13],[3,5,6,9,10,12,14],[4,5,6,7,9,10,11]]; G[4551]:=Group([(2,12)(3,11)(5,14)(6,8)(9,13)]); # Design 4552: autom. group order 2, simple, residual B[4552]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,10,12,13],[1,3,5,7,10,11,14],[1,3,6,8,9,12,14],[1,4,5,7,9,13,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,13],[1,5,8,9,10,11,12],[1,6,7,8,9,10,14],[2,3,7,8,9,11,13],[2,3,7,8,12,13,14],[2,4,5,8,10,12,14],[2,4,6,7,9,10,12],[2,4,6,8,9,11,14],[2,5,6,7,11,12,14],[2,5,9,10,11,13,14],[3,4,5,9,12,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,14],[3,5,6,7,9,11,12],[3,5,6,8,10,12,13],[4,5,6,7,8,10,13]]; G[4552]:=Group([(2,11)(3,12)(5,13)(6,8)(9,14)]); # Design 4553: autom. group order 2, simple B[4553]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,11,12,14],[1,2,7,9,10,11,14],[1,3,5,7,12,13,14],[1,3,6,9,10,13,14],[1,4,5,7,9,11,13],[1,4,6,8,12,13,14],[1,4,7,8,9,10,14],[1,5,8,9,11,12,13],[1,6,7,8,10,11,12],[2,3,7,8,9,12,13],[2,3,8,9,11,12,14],[2,4,5,10,12,13,14],[2,4,6,7,8,11,13],[2,4,6,7,9,12,14],[2,5,6,9,10,11,13],[2,5,7,8,10,13,14],[3,4,5,8,10,11,14],[3,4,6,9,11,13,14],[3,4,7,10,11,12,13],[3,5,6,7,8,11,14],[3,5,6,7,9,10,12],[4,5,6,8,9,10,12]]; G[4553]:=Group([(1,14)(2,11)(4,8)(9,10)]); # Design 4554: autom. group order 2, simple B[4554]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,11,12,14],[1,2,7,9,10,11,14],[1,3,5,7,12,13,14],[1,3,6,9,10,13,14],[1,4,5,7,9,11,13],[1,4,6,8,12,13,14],[1,4,7,8,9,10,14],[1,5,8,10,11,12,13],[1,6,7,8,9,11,12],[2,3,7,8,9,12,13],[2,3,8,9,11,12,14],[2,4,5,9,12,13,14],[2,4,6,7,8,11,13],[2,4,6,7,10,12,14],[2,5,6,9,10,11,13],[2,5,7,8,10,13,14],[3,4,5,8,10,11,14],[3,4,6,9,11,13,14],[3,4,7,10,11,12,13],[3,5,6,7,8,11,14],[3,5,6,7,9,10,12],[4,5,6,8,9,10,12]]; G[4554]:=Group([(1,14)(2,11)(4,8)(9,10)]); # Design 4555: autom. group order 2, simple, residual B[4555]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,10,13,14],[1,3,5,7,12,13,14],[1,3,6,9,11,12,14],[1,4,5,7,10,11,12],[1,4,6,8,9,11,14],[1,4,7,8,11,13,14],[1,5,8,9,10,12,13],[1,6,7,8,9,10,12],[2,3,7,8,9,11,13],[2,3,8,10,11,12,14],[2,4,5,9,12,13,14],[2,4,6,7,9,12,14],[2,4,6,8,10,12,13],[2,5,6,7,9,10,11],[2,5,7,8,11,12,14],[3,4,5,8,9,10,14],[3,4,6,7,8,12,13],[3,4,7,9,10,11,13],[3,5,6,7,8,10,14],[3,5,6,9,11,12,13],[4,5,6,10,11,13,14]]; G[4555]:=Group([(1,14)(2,10)(4,8)]); # Design 4556: autom. group order 2, simple, residual B[4556]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,9,13,14],[1,3,5,7,12,13,14],[1,3,6,9,11,12,14],[1,4,5,7,9,10,12],[1,4,6,8,9,11,14],[1,4,7,10,11,13,14],[1,5,8,9,10,12,13],[1,6,7,8,10,11,12],[2,3,7,9,10,11,13],[2,3,8,9,10,12,14],[2,4,5,11,12,13,14],[2,4,6,7,9,12,14],[2,4,6,8,10,12,13],[2,5,6,7,9,10,11],[2,5,7,8,11,12,14],[3,4,5,8,10,11,14],[3,4,6,7,8,12,13],[3,4,7,8,9,11,13],[3,5,6,7,8,10,14],[3,5,6,9,11,12,13],[4,5,6,9,10,13,14]]; G[4556]:=Group([(1,14)(2,10)(4,8)(9,11)]); # Design 4557: autom. group order 2, simple, residual B[4557]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,9,13,14],[1,3,5,7,12,13,14],[1,3,6,9,11,12,14],[1,4,5,7,9,10,12],[1,4,6,8,9,11,14],[1,4,7,10,11,13,14],[1,5,8,10,11,12,13],[1,6,7,8,9,10,12],[2,3,7,9,10,11,13],[2,3,8,9,10,12,14],[2,4,5,9,12,13,14],[2,4,6,7,11,12,14],[2,4,6,8,10,12,13],[2,5,6,7,9,10,11],[2,5,7,8,11,12,14],[3,4,5,8,10,11,14],[3,4,6,7,8,12,13],[3,4,7,8,9,11,13],[3,5,6,7,8,10,14],[3,5,6,9,11,12,13],[4,5,6,9,10,13,14]]; G[4557]:=Group([(1,14)(2,10)(4,8)(9,11)]); # Design 4558: autom. group order 2, simple, residual B[4558]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,10,11,14],[1,3,5,7,12,13,14],[1,3,6,8,9,10,12],[1,4,5,7,9,13,14],[1,4,6,9,11,12,13],[1,4,8,11,12,13,14],[1,5,7,8,10,11,12],[1,6,7,8,9,10,14],[2,3,7,8,9,11,13],[2,3,8,9,12,13,14],[2,4,5,9,10,12,14],[2,4,6,7,8,11,14],[2,4,6,7,10,12,13],[2,5,6,9,11,12,14],[2,5,7,8,10,12,13],[3,4,5,8,10,11,14],[3,4,6,7,8,12,14],[3,4,7,9,10,11,13],[3,5,6,7,9,11,12],[3,5,6,10,11,13,14],[4,5,6,8,9,10,13]]; G[4558]:=Group([(2,11)(3,12)(5,13)(6,8)(7,14)]); # Design 4559: autom. group order 2, simple B[4559]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,9,10,12],[1,3,5,7,12,13,14],[1,3,6,9,10,11,14],[1,4,5,7,9,13,14],[1,4,6,9,11,12,13],[1,4,8,11,12,13,14],[1,5,7,8,10,11,12],[1,6,7,8,9,10,14],[2,3,7,8,9,11,13],[2,3,8,9,12,13,14],[2,4,5,9,10,12,14],[2,4,6,7,8,11,14],[2,4,6,7,10,12,13],[2,5,6,9,11,12,14],[2,5,7,10,11,13,14],[3,4,5,8,10,11,14],[3,4,6,7,8,12,14],[3,4,7,9,10,11,13],[3,5,6,7,9,11,12],[3,5,6,8,10,12,13],[4,5,6,8,9,10,13]]; G[4559]:=Group([(2,11)(3,12)(5,13)(6,8)(7,14)]); # Design 4560: autom. group order 2, simple B[4560]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,11,12,14],[1,2,7,9,10,11,14],[1,3,5,7,12,13,14],[1,3,6,9,10,13,14],[1,4,5,9,11,12,13],[1,4,6,8,12,13,14],[1,4,7,8,9,10,14],[1,5,7,8,10,11,13],[1,6,7,8,9,11,12],[2,3,7,8,9,12,13],[2,3,8,9,11,12,14],[2,4,5,7,9,13,14],[2,4,6,7,8,11,13],[2,4,6,7,10,12,14],[2,5,6,9,10,11,13],[2,5,8,10,12,13,14],[3,4,5,8,10,11,14],[3,4,6,9,11,13,14],[3,4,7,10,11,12,13],[3,5,6,7,8,11,14],[3,5,6,7,9,10,12],[4,5,6,8,9,10,12]]; G[4560]:=Group([(1,14)(2,11)(4,8)(9,10)]); # Design 4561: autom. group order 2, simple, residual B[4561]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,9,10,12,13],[1,3,5,7,10,12,14],[1,3,6,9,11,12,14],[1,4,5,9,11,13,14],[1,4,6,8,10,12,14],[1,4,7,8,9,10,13],[1,5,7,8,11,12,13],[1,6,7,8,9,11,14],[2,3,7,8,9,10,14],[2,3,8,9,11,12,13],[2,4,5,7,8,11,14],[2,4,6,7,9,11,12],[2,4,6,7,12,13,14],[2,5,6,9,10,13,14],[2,5,8,10,11,12,14],[3,4,5,9,12,13,14],[3,4,6,8,10,11,13],[3,4,7,10,11,13,14],[3,5,6,7,8,12,13],[3,5,6,7,9,10,11],[4,5,6,8,9,10,12]]; G[4561]:=Group([(1,11)(2,10)(5,13)(7,8)(9,14)]); # Design 4562: autom. group order 2, simple, residual B[4562]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,10,13,14],[1,3,5,7,12,13,14],[1,3,6,9,11,12,14],[1,4,5,9,10,12,13],[1,4,6,8,9,11,14],[1,4,7,8,11,13,14],[1,5,7,8,10,11,12],[1,6,7,8,9,10,12],[2,3,7,8,9,11,13],[2,3,8,10,11,12,14],[2,4,5,7,11,12,14],[2,4,6,7,9,12,14],[2,4,6,8,10,12,13],[2,5,6,7,9,10,11],[2,5,8,9,12,13,14],[3,4,5,8,9,10,14],[3,4,6,7,8,12,13],[3,4,7,9,10,11,13],[3,5,6,7,8,10,14],[3,5,6,9,11,12,13],[4,5,6,10,11,13,14]]; G[4562]:=Group([(1,14)(2,10)(4,8)]); # Design 4563: autom. group order 2, simple, residual B[4563]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,9,13,14],[1,3,5,7,12,13,14],[1,3,6,9,11,12,14],[1,4,5,9,10,12,13],[1,4,6,8,9,11,14],[1,4,7,10,11,13,14],[1,5,7,8,9,10,12],[1,6,7,8,10,11,12],[2,3,7,9,10,11,13],[2,3,8,9,10,12,14],[2,4,5,7,11,12,14],[2,4,6,7,9,12,14],[2,4,6,8,10,12,13],[2,5,6,7,9,10,11],[2,5,8,11,12,13,14],[3,4,5,8,10,11,14],[3,4,6,7,8,12,13],[3,4,7,8,9,11,13],[3,5,6,7,8,10,14],[3,5,6,9,11,12,13],[4,5,6,9,10,13,14]]; G[4563]:=Group([(1,14)(2,10)(4,8)(9,11)]); # Design 4564: autom. group order 2, simple, residual B[4564]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,9,13,14],[1,3,5,7,12,13,14],[1,3,6,9,11,12,14],[1,4,5,9,10,12,13],[1,4,6,8,9,11,14],[1,4,7,10,11,13,14],[1,5,7,8,10,11,12],[1,6,7,8,9,10,12],[2,3,7,9,10,11,13],[2,3,8,9,10,12,14],[2,4,5,7,9,12,14],[2,4,6,7,11,12,14],[2,4,6,8,10,12,13],[2,5,6,7,9,10,11],[2,5,8,11,12,13,14],[3,4,5,8,10,11,14],[3,4,6,7,8,12,13],[3,4,7,8,9,11,13],[3,5,6,7,8,10,14],[3,5,6,9,11,12,13],[4,5,6,9,10,13,14]]; G[4564]:=Group([(1,14)(2,10)(4,8)(9,11)]); # Design 4565: autom. group order 2, simple, residual B[4565]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,9,10,12,13],[1,3,5,7,10,12,14],[1,3,6,9,11,12,14],[1,4,5,9,11,13,14],[1,4,6,8,10,12,14],[1,4,7,8,9,11,14],[1,5,7,8,11,12,13],[1,6,7,8,9,10,13],[2,3,7,8,9,10,14],[2,3,8,9,11,12,13],[2,4,5,9,10,13,14],[2,4,6,7,9,11,12],[2,4,6,7,12,13,14],[2,5,6,7,8,11,14],[2,5,8,10,11,12,14],[3,4,5,7,8,12,13],[3,4,6,8,10,11,13],[3,4,7,10,11,13,14],[3,5,6,7,9,10,11],[3,5,6,9,12,13,14],[4,5,6,8,9,10,12]]; G[4565]:=Group([(1,11)(2,10)(5,13)(7,8)(9,14)]); # Design 4566: autom. group order 2, simple, residual B[4566]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,11,12,13],[1,2,7,8,10,11,13],[1,3,5,8,9,11,14],[1,3,6,7,8,9,12],[1,4,5,7,11,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,12,14],[1,5,7,9,10,12,13],[1,6,8,9,11,13,14],[2,3,7,8,12,13,14],[2,3,7,9,10,11,14],[2,4,5,9,12,13,14],[2,4,6,7,9,11,14],[2,4,6,8,9,10,13],[2,5,6,7,8,12,14],[2,5,8,9,10,11,12],[3,4,5,8,10,13,14],[3,4,6,9,11,12,13],[3,4,7,8,11,12,13],[3,5,6,7,9,10,13],[3,5,6,10,11,12,14],[4,5,6,7,8,10,11]]; G[4566]:=Group([(1,12)(2,11)(5,13)(7,9)]); # Design 4567: autom. group order 2, simple, residual B[4567]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,10,11,14],[1,3,5,9,12,13,14],[1,3,6,7,8,10,12],[1,4,5,7,9,13,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,13],[1,5,8,9,10,11,12],[1,6,7,8,9,10,14],[2,3,7,8,9,12,13],[2,3,7,8,11,13,14],[2,4,5,7,10,12,14],[2,4,6,8,9,11,14],[2,4,6,9,10,12,13],[2,5,6,7,9,11,12],[2,5,8,10,12,13,14],[3,4,5,8,10,11,14],[3,4,6,8,9,12,14],[3,4,7,9,10,11,13],[3,5,6,7,11,12,14],[3,5,6,9,10,11,13],[4,5,6,7,8,10,13]]; G[4567]:=Group([(2,11)(3,12)(5,13)(6,8)(9,14)]); # Design 4568: autom. group order 2, simple B[4568]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,10,12,14],[1,3,5,9,12,13,14],[1,3,6,7,9,10,11],[1,4,5,7,9,13,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,13],[1,5,8,9,10,11,12],[1,6,7,8,9,10,14],[2,3,7,8,9,12,13],[2,3,7,8,11,13,14],[2,4,5,7,10,12,14],[2,4,6,8,9,11,14],[2,4,6,9,10,12,13],[2,5,6,7,9,11,12],[2,5,9,10,11,13,14],[3,4,5,8,10,11,14],[3,4,6,8,9,12,14],[3,4,7,9,10,11,13],[3,5,6,7,11,12,14],[3,5,6,8,10,12,13],[4,5,6,7,8,10,13]]; G[4568]:=Group([(2,11)(3,12)(5,13)(6,8)(9,14)]); # Design 4569: autom. group order 2, simple, residual B[4569]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,11,12,14],[1,3,5,9,10,12,13],[1,3,6,7,9,11,14],[1,4,5,7,8,12,14],[1,4,6,10,12,13,14],[1,4,7,8,9,10,13],[1,5,8,9,10,11,14],[1,6,7,8,11,12,13],[2,3,7,8,10,12,14],[2,3,8,9,11,12,13],[2,4,5,11,12,13,14],[2,4,6,7,9,10,11],[2,4,6,8,9,13,14],[2,5,6,7,8,10,12],[2,5,7,9,10,13,14],[3,4,5,7,11,13,14],[3,4,6,8,9,12,14],[3,4,7,8,10,11,13],[3,5,6,7,9,12,13],[3,5,6,8,10,11,14],[4,5,6,9,10,11,12]]; G[4569]:=Group([(1,9)(2,12)(4,13)(8,10)]); # Design 4570: autom. group order 2, simple, residual B[4570]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,9,10,12,14],[1,3,5,9,11,12,13],[1,3,6,7,9,10,14],[1,4,5,7,8,12,14],[1,4,6,11,12,13,14],[1,4,7,8,9,11,13],[1,5,8,9,10,11,14],[1,6,7,8,10,12,13],[2,3,7,8,11,12,14],[2,3,8,9,10,12,13],[2,4,5,10,12,13,14],[2,4,6,7,9,10,11],[2,4,6,8,9,13,14],[2,5,6,7,8,11,12],[2,5,7,9,11,13,14],[3,4,5,7,10,13,14],[3,4,6,9,11,12,14],[3,4,7,8,10,11,13],[3,5,6,7,9,12,13],[3,5,6,8,10,11,14],[4,5,6,8,9,10,12]]; G[4570]:=Group([(1,9)(2,12)(4,13)(8,11)]); # Design 4571: autom. group order 2, simple, residual B[4571]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,10,12,13],[1,3,5,9,10,11,14],[1,3,6,7,8,12,14],[1,4,5,7,9,13,14],[1,4,6,9,11,12,14],[1,4,8,11,12,13,14],[1,5,7,8,10,11,12],[1,6,7,8,9,10,13],[2,3,7,9,11,12,13],[2,3,8,9,11,13,14],[2,4,5,7,12,13,14],[2,4,6,7,10,11,14],[2,4,6,8,9,10,12],[2,5,6,8,9,12,14],[2,5,7,8,10,11,14],[3,4,5,8,10,12,13],[3,4,6,7,8,11,13],[3,4,7,8,9,10,14],[3,5,6,7,9,11,12],[3,5,6,10,12,13,14],[4,5,6,9,10,11,13]]; G[4571]:=Group([(2,12)(3,11)(5,14)(6,8)(7,13)]); # Design 4572: autom. group order 2, simple, residual B[4572]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,8,9,10,11],[1,3,5,9,10,12,14],[1,3,6,7,9,12,13],[1,4,5,11,12,13,14],[1,4,6,7,10,12,14],[1,4,7,8,9,11,14],[1,5,7,8,11,12,13],[1,6,8,9,10,13,14],[2,3,7,8,10,12,14],[2,3,9,11,12,13,14],[2,4,5,9,10,13,14],[2,4,6,7,9,12,13],[2,4,6,8,11,12,14],[2,5,6,7,9,11,14],[2,5,7,8,10,12,13],[3,4,5,7,8,13,14],[3,4,6,8,10,11,13],[3,4,7,9,10,11,13],[3,5,6,7,10,11,14],[3,5,6,8,9,11,12],[4,5,6,8,9,10,12]]; G[4572]:=Group([(1,11)(2,10)(5,13)(7,8)]); # Design 4573: autom. group order 2, simple, residual B[4573]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,8,9,10,11],[1,3,5,9,10,12,14],[1,3,6,7,9,12,13],[1,4,5,11,12,13,14],[1,4,6,7,10,12,14],[1,4,8,9,10,13,14],[1,5,7,8,11,12,13],[1,6,7,8,9,11,14],[2,3,7,8,10,12,14],[2,3,9,11,12,13,14],[2,4,5,7,9,11,14],[2,4,6,7,9,12,13],[2,4,6,8,11,12,14],[2,5,6,9,10,13,14],[2,5,7,8,10,12,13],[3,4,5,7,8,13,14],[3,4,6,8,10,11,13],[3,4,7,9,10,11,13],[3,5,6,7,10,11,14],[3,5,6,8,9,11,12],[4,5,6,8,9,10,12]]; G[4573]:=Group([(1,11)(2,10)(5,13)(7,8)]); # Design 4574: autom. group order 2, simple, residual B[4574]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,11,12,13],[1,2,8,9,10,11,13],[1,3,5,7,8,11,14],[1,3,6,7,8,9,12],[1,4,5,9,11,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,12,14],[1,5,7,9,10,12,13],[1,6,7,8,11,13,14],[2,3,7,9,10,11,14],[2,3,8,9,12,13,14],[2,4,5,7,12,13,14],[2,4,6,7,8,10,13],[2,4,6,7,9,11,14],[2,5,6,8,9,12,14],[2,5,7,8,10,11,12],[3,4,5,8,10,13,14],[3,4,6,9,11,12,13],[3,4,7,8,11,12,13],[3,5,6,7,9,10,13],[3,5,6,10,11,12,14],[4,5,6,8,9,10,11]]; G[4574]:=Group([(1,12)(2,11)(5,13)(7,9)]); # Design 4575: autom. group order 2, simple B[4575]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,9,10,11,12,14],[1,3,5,7,10,12,14],[1,3,6,7,9,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,10,14],[1,4,7,8,10,12,13],[1,5,7,8,11,13,14],[1,6,7,8,9,11,12],[2,3,7,8,9,10,14],[2,3,8,11,12,13,14],[2,4,5,7,8,11,12],[2,4,6,7,9,11,14],[2,4,6,7,12,13,14],[2,5,6,9,10,12,13],[2,5,7,8,9,10,13],[3,4,5,9,12,13,14],[3,4,6,8,10,11,13],[3,4,7,9,10,11,13],[3,5,6,7,10,11,14],[3,5,6,8,9,11,12],[4,5,6,8,10,12,14]]; G[4575]:=Group([(1,11)(2,10)(5,13)(7,8)]); # Design 4576: autom. group order 2, simple, residual B[4576]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,9,10,11,12,14],[1,3,5,7,10,12,14],[1,3,6,7,9,12,13],[1,4,5,9,11,13,14],[1,4,6,8,10,12,14],[1,4,7,8,9,10,13],[1,5,7,8,11,12,13],[1,6,7,8,9,11,14],[2,3,7,8,9,10,14],[2,3,8,9,11,12,13],[2,4,5,7,8,11,14],[2,4,6,7,9,11,12],[2,4,6,7,12,13,14],[2,5,6,9,10,13,14],[2,5,7,8,10,12,13],[3,4,5,9,12,13,14],[3,4,6,8,10,11,13],[3,4,7,10,11,13,14],[3,5,6,7,9,10,11],[3,5,6,8,11,12,14],[4,5,6,8,9,10,12]]; G[4576]:=Group([(1,11)(2,10)(5,13)(7,8)(9,14)]); # Design 4577: autom. group order 2, simple B[4577]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,8,9,10,12,14],[1,3,5,7,10,12,14],[1,3,6,9,11,12,14],[1,4,5,9,11,12,13],[1,4,6,7,9,10,13],[1,4,7,8,10,13,14],[1,5,7,8,9,11,14],[1,6,7,8,11,12,13],[2,3,7,9,10,11,13],[2,3,7,9,11,13,14],[2,4,5,7,12,13,14],[2,4,6,7,9,12,14],[2,4,6,8,10,11,14],[2,5,6,7,8,11,12],[2,5,8,9,10,12,13],[3,4,5,8,11,13,14],[3,4,6,8,9,12,13],[3,4,7,8,10,11,12],[3,5,6,7,8,9,10],[3,5,6,10,12,13,14],[4,5,6,9,10,11,14]]; G[4577]:=Group([(1,8)(2,7)(3,11)(4,12)(5,6)(9,13)]); # Design 4578: autom. group order 2, simple, residual B[4578]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,11,13,14],[1,2,8,9,12,13,14],[1,3,5,7,8,12,13],[1,3,6,8,9,10,11],[1,4,5,9,11,12,14],[1,4,6,7,8,12,13],[1,4,7,9,10,11,13],[1,5,7,8,10,11,14],[1,6,7,9,10,12,14],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,7,10,12,14],[2,4,6,7,8,9,14],[2,4,6,8,10,11,12],[2,5,6,9,11,12,13],[2,5,7,8,10,11,13],[3,4,5,9,10,13,14],[3,4,6,7,11,13,14],[3,4,8,11,12,13,14],[3,5,6,7,9,11,12],[3,5,6,8,10,12,14],[4,5,6,8,9,10,13]]; G[4578]:=Group([(1,14)(2,13)(5,11)(9,12)]); # Design 4579: autom. group order 2, simple, residual B[4579]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,11,13,14],[1,2,8,9,12,13,14],[1,3,5,7,8,12,13],[1,3,6,8,10,11,12],[1,4,5,9,11,12,14],[1,4,6,7,8,9,13],[1,4,7,9,10,11,13],[1,5,7,8,10,11,14],[1,6,7,9,10,12,14],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,7,10,12,14],[2,4,6,7,8,12,14],[2,4,6,8,9,10,11],[2,5,6,9,11,12,13],[2,5,7,8,10,11,13],[3,4,5,9,10,13,14],[3,4,6,7,11,13,14],[3,4,8,11,12,13,14],[3,5,6,7,9,11,12],[3,5,6,8,9,10,14],[4,5,6,8,10,12,13]]; G[4579]:=Group([(1,14)(2,13)(5,11)(9,12)]); # Design 4580: autom. group order 2, simple, residual B[4580]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,13,14],[1,2,9,11,12,13,14],[1,3,5,7,11,12,13],[1,3,6,8,9,10,11],[1,4,5,9,10,12,14],[1,4,6,7,11,12,13],[1,4,7,8,9,10,13],[1,5,7,8,10,11,14],[1,6,7,8,9,12,14],[2,3,7,8,9,12,13],[2,3,7,9,10,11,14],[2,4,5,7,8,12,14],[2,4,6,7,9,11,14],[2,4,6,8,10,11,12],[2,5,6,9,10,12,13],[2,5,7,8,10,11,13],[3,4,5,9,11,13,14],[3,4,6,7,10,13,14],[3,4,8,10,12,13,14],[3,5,6,7,9,10,12],[3,5,6,8,11,12,14],[4,5,6,8,9,11,13]]; G[4580]:=Group([(1,14)(2,13)(5,10)(9,12)]); # Design 4581: autom. group order 2, simple, residual B[4581]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,13,14],[1,2,9,11,12,13,14],[1,3,5,7,11,12,13],[1,3,6,8,10,11,12],[1,4,5,9,10,11,14],[1,4,6,7,9,12,13],[1,4,7,8,9,10,13],[1,5,7,8,10,12,14],[1,6,7,8,9,11,14],[2,3,7,8,9,11,13],[2,3,7,9,10,12,14],[2,4,5,7,8,11,14],[2,4,6,7,11,12,14],[2,4,6,8,9,10,12],[2,5,6,9,10,11,13],[2,5,7,8,10,12,13],[3,4,5,9,12,13,14],[3,4,6,7,10,13,14],[3,4,8,10,11,13,14],[3,5,6,7,9,10,11],[3,5,6,8,9,12,14],[4,5,6,8,11,12,13]]; G[4581]:=Group([(1,14)(2,13)(5,10)(9,11)]); # Design 4582: autom. group order 2, simple, residual B[4582]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,8,9,10,11,14],[1,3,5,7,9,10,12],[1,3,6,9,12,13,14],[1,4,5,11,12,13,14],[1,4,6,7,9,10,14],[1,4,7,8,11,12,14],[1,5,7,8,9,11,13],[1,6,7,8,10,12,13],[2,3,7,8,10,12,14],[2,3,7,9,11,12,13],[2,4,5,10,12,13,14],[2,4,6,7,9,11,14],[2,4,6,8,9,12,13],[2,5,6,7,8,11,12],[2,5,7,9,10,13,14],[3,4,5,7,8,13,14],[3,4,6,7,10,11,13],[3,4,8,9,10,11,13],[3,5,6,8,10,11,14],[3,5,6,9,11,12,14],[4,5,6,8,9,10,12]]; G[4582]:=Group([(1,11)(2,10)(5,13)]); # Design 4583: autom. group order 2, simple B[4583]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,11,13,14],[1,2,8,9,10,12,14],[1,3,5,9,11,12,14],[1,3,6,7,9,13,14],[1,4,5,7,10,11,14],[1,4,6,8,12,13,14],[1,4,7,9,10,11,13],[1,5,7,8,10,12,13],[1,6,7,8,9,11,12],[2,3,7,8,11,12,14],[2,3,7,9,10,13,14],[2,4,5,9,12,13,14],[2,4,6,7,8,11,14],[2,4,6,7,9,10,12],[2,5,6,10,11,12,13],[2,5,7,8,9,11,13],[3,4,5,7,8,12,13],[3,4,6,9,11,12,13],[3,4,8,10,11,13,14],[3,5,6,7,10,12,14],[3,5,6,8,9,10,11],[4,5,6,8,9,10,14]]; G[4583]:=Group([(1,4)(2,11)(3,10)(5,7)(6,14)(8,13)]); # Design 4584: autom. group order 2, simple B[4584]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,11,13,14],[1,2,8,9,10,12,14],[1,3,5,9,11,12,14],[1,3,6,7,12,13,14],[1,4,5,7,10,11,14],[1,4,6,8,9,13,14],[1,4,7,9,10,11,13],[1,5,7,8,10,12,13],[1,6,7,8,9,11,12],[2,3,7,8,11,12,14],[2,3,7,9,10,13,14],[2,4,5,9,12,13,14],[2,4,6,7,8,11,14],[2,4,6,7,9,10,12],[2,5,6,10,11,12,13],[2,5,7,8,9,11,13],[3,4,5,7,8,12,13],[3,4,6,9,11,12,13],[3,4,8,10,11,13,14],[3,5,6,7,9,10,14],[3,5,6,8,9,10,11],[4,5,6,8,10,12,14]]; G[4584]:=Group([(1,4)(2,11)(3,10)(5,7)(6,14)(8,13)]); # Design 4585: autom. group order 2, simple, residual B[4585]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,8,9,10,13,14],[1,3,5,9,11,12,14],[1,3,6,7,9,12,13],[1,4,5,11,12,13,14],[1,4,6,7,9,10,14],[1,4,7,8,10,12,14],[1,5,7,8,9,10,11],[1,6,7,8,11,12,13],[2,3,7,8,11,12,14],[2,3,7,9,10,12,13],[2,4,5,7,10,12,13],[2,4,6,7,9,11,14],[2,4,6,8,9,11,12],[2,5,6,8,10,12,14],[2,5,7,9,11,13,14],[3,4,5,7,8,13,14],[3,4,6,10,11,13,14],[3,4,8,9,10,11,13],[3,5,6,7,8,10,11],[3,5,6,9,10,12,14],[4,5,6,8,9,12,13]]; G[4585]:=Group([(1,10)(2,11)(5,13)(7,14)]); # Design 4586: autom. group order 2, simple, residual B[4586]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,7,11,14],[1,2,8,9,10,13,14],[1,3,5,11,12,13,14],[1,3,6,7,9,12,13],[1,4,5,10,12,13,14],[1,4,6,8,9,12,14],[1,4,7,8,10,11,14],[1,5,7,8,9,11,12],[1,6,7,9,10,11,13],[2,3,7,8,12,13,14],[2,3,7,9,10,11,14],[2,4,5,7,9,13,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,13],[2,5,6,8,10,11,12],[2,5,6,9,10,12,14],[3,4,5,9,10,11,13],[3,4,6,7,10,12,14],[3,4,6,8,9,11,14],[3,5,6,8,11,13,14],[3,5,7,8,9,10,12],[4,5,6,7,8,10,13]]; G[4586]:=Group([(1,12)(3,11)(5,13)(6,8)]); # Design 4587: autom. group order 2, simple B[4587]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,10,12,13],[1,3,5,7,10,11,14],[1,3,6,8,9,12,14],[1,4,5,7,9,13,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,13],[1,5,8,9,10,11,12],[1,6,7,8,9,10,14],[2,3,7,8,9,11,13],[2,3,7,9,11,12,14],[2,4,5,8,10,12,14],[2,4,6,8,9,11,14],[2,4,7,8,10,13,14],[2,5,6,7,11,12,14],[2,5,6,9,10,12,13],[3,4,5,9,12,13,14],[3,4,6,7,8,10,12],[3,4,6,9,10,11,13],[3,5,6,7,8,12,13],[3,5,8,10,11,13,14],[4,5,6,7,9,10,11]]; G[4587]:=Group([(2,11)(3,12)(5,13)(6,8)(9,14)]); # Design 4588: autom. group order 2, simple, residual B[4588]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,10,12,13],[1,3,5,7,10,11,14],[1,3,6,8,9,12,14],[1,4,5,7,9,13,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,14],[1,5,8,9,10,11,12],[1,6,7,8,9,10,13],[2,3,7,8,9,11,14],[2,3,7,8,12,13,14],[2,4,5,9,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,11,13],[2,5,6,7,9,11,12],[2,5,6,8,10,12,14],[3,4,5,8,10,12,13],[3,4,6,7,9,10,12],[3,4,6,8,9,11,13],[3,5,6,7,11,12,13],[3,5,9,10,11,13,14],[4,5,6,7,8,10,14]]; G[4588]:=Group([(2,12)(3,11)(5,14)(6,8)(9,13)]); # Design 4589: autom. group order 2, simple, residual B[4589]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,10,12,13],[1,3,5,7,10,11,14],[1,3,6,8,9,12,14],[1,4,5,7,9,13,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,13],[1,5,8,9,10,11,12],[1,6,7,8,9,10,14],[2,3,7,8,9,11,13],[2,3,7,8,12,13,14],[2,4,5,8,10,12,14],[2,4,6,8,9,11,14],[2,4,7,9,10,11,14],[2,5,6,7,11,12,14],[2,5,6,9,10,12,13],[3,4,5,9,12,13,14],[3,4,6,7,8,10,12],[3,4,6,9,10,11,13],[3,5,6,7,9,11,12],[3,5,8,10,11,13,14],[4,5,6,7,8,10,13]]; G[4589]:=Group([(2,11)(3,12)(5,13)(6,8)(9,14)]); # Design 4590: autom. group order 2, simple, residual B[4590]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,11,13,14],[1,2,7,9,10,13,14],[1,3,5,7,11,12,14],[1,3,6,9,10,12,14],[1,4,5,7,9,12,13],[1,4,6,8,11,13,14],[1,4,7,8,9,10,14],[1,5,8,9,11,12,13],[1,6,7,8,10,11,12],[2,3,7,8,9,11,13],[2,3,8,9,11,12,14],[2,4,5,8,10,12,14],[2,4,6,9,12,13,14],[2,4,7,10,11,12,13],[2,5,6,7,8,12,14],[2,5,6,7,9,10,11],[3,4,5,10,11,13,14],[3,4,6,7,8,12,13],[3,4,6,7,9,11,14],[3,5,6,9,10,12,13],[3,5,7,8,10,13,14],[4,5,6,8,9,10,11]]; G[4590]:=Group([(1,14)(3,12)(4,8)(9,10)]); # Design 4591: autom. group order 2, simple, residual B[4591]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,11,13,14],[1,2,7,9,10,13,14],[1,3,5,7,11,12,14],[1,3,6,9,10,12,14],[1,4,5,7,9,12,13],[1,4,6,8,11,13,14],[1,4,7,8,9,10,14],[1,5,8,10,11,12,13],[1,6,7,8,9,11,12],[2,3,7,8,9,11,13],[2,3,8,9,11,12,14],[2,4,5,8,10,12,14],[2,4,6,9,12,13,14],[2,4,7,10,11,12,13],[2,5,6,7,8,12,14],[2,5,6,7,9,10,11],[3,4,5,9,11,13,14],[3,4,6,7,8,12,13],[3,4,6,7,10,11,14],[3,5,6,9,10,12,13],[3,5,7,8,10,13,14],[4,5,6,8,9,10,11]]; G[4591]:=Group([(1,14)(3,12)(4,8)(9,10)]); # Design 4592: autom. group order 2, simple, residual B[4592]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,11,13,14],[1,2,7,8,10,12,13],[1,3,5,7,9,12,14],[1,3,6,8,9,10,11],[1,4,5,7,8,13,14],[1,4,6,8,11,12,14],[1,4,9,11,12,13,14],[1,5,7,9,10,11,12],[1,6,7,8,9,10,13],[2,3,7,8,9,11,14],[2,3,8,9,12,13,14],[2,4,5,9,10,11,13],[2,4,6,7,9,12,13],[2,4,7,8,10,11,14],[2,5,6,7,8,11,12],[2,5,6,9,10,12,14],[3,4,5,8,10,12,13],[3,4,6,7,9,11,13],[3,4,6,7,10,12,14],[3,5,6,8,11,12,13],[3,5,7,10,11,13,14],[4,5,6,8,9,10,14]]; G[4592]:=Group([(2,12)(3,11)(5,14)(6,9)(7,13)]); # Design 4593: autom. group order 2, simple, residual B[4593]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,10,11,14],[1,3,5,7,12,13,14],[1,3,6,8,9,10,12],[1,4,5,7,9,13,14],[1,4,6,9,11,12,13],[1,4,8,11,12,13,14],[1,5,7,8,10,11,12],[1,6,7,8,9,10,14],[2,3,7,8,9,12,13],[2,3,8,9,11,13,14],[2,4,5,8,10,12,14],[2,4,6,7,8,11,14],[2,4,7,9,10,12,13],[2,5,6,7,9,11,12],[2,5,6,10,12,13,14],[3,4,5,9,10,11,14],[3,4,6,7,8,12,14],[3,4,6,7,10,11,13],[3,5,6,9,11,12,14],[3,5,7,8,10,11,13],[4,5,6,8,9,10,13]]; G[4593]:=Group([(2,11)(3,12)(5,13)(6,8)(7,14)]); # Design 4594: autom. group order 2, simple, residual B[4594]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,11,13,14],[1,2,7,9,10,13,14],[1,3,5,7,11,12,14],[1,3,6,9,10,12,14],[1,4,5,9,11,12,13],[1,4,6,8,11,13,14],[1,4,7,8,9,10,14],[1,5,7,8,10,12,13],[1,6,7,8,9,11,12],[2,3,7,8,9,11,13],[2,3,8,9,11,12,14],[2,4,5,8,10,12,14],[2,4,6,9,12,13,14],[2,4,7,10,11,12,13],[2,5,6,7,8,12,14],[2,5,6,7,9,10,11],[3,4,5,7,9,13,14],[3,4,6,7,8,12,13],[3,4,6,7,10,11,14],[3,5,6,9,10,12,13],[3,5,8,10,11,13,14],[4,5,6,8,9,10,11]]; G[4594]:=Group([(1,14)(3,12)(4,8)(9,10)]); # Design 4595: autom. group order 2, simple, residual B[4595]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,10,11,14],[1,3,5,9,12,13,14],[1,3,6,7,8,10,12],[1,4,5,7,9,13,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,13],[1,5,8,9,10,11,12],[1,6,7,8,9,10,14],[2,3,7,8,9,11,13],[2,3,7,8,12,13,14],[2,4,5,8,10,12,14],[2,4,6,8,9,11,14],[2,4,7,9,10,12,13],[2,5,6,7,11,12,14],[2,5,6,9,10,12,13],[3,4,5,7,10,11,14],[3,4,6,8,9,12,14],[3,4,6,9,10,11,13],[3,5,6,7,9,11,12],[3,5,8,10,11,13,14],[4,5,6,7,8,10,13]]; G[4595]:=Group([(2,11)(3,12)(5,13)(6,8)(9,14)]); # Design 4596: autom. group order 2, simple, residual B[4596]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,10,12,14],[1,3,5,9,12,13,14],[1,3,6,7,9,10,11],[1,4,5,7,8,13,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,13],[1,5,8,9,10,11,12],[1,6,7,8,9,10,14],[2,3,7,8,9,12,13],[2,3,7,9,11,13,14],[2,4,5,9,10,11,14],[2,4,6,8,9,12,14],[2,4,7,8,10,11,13],[2,5,6,7,11,12,14],[2,5,6,9,10,12,13],[3,4,5,7,10,12,14],[3,4,6,8,9,11,14],[3,4,6,8,10,12,13],[3,5,6,7,8,11,12],[3,5,8,10,11,13,14],[4,5,6,7,9,10,13]]; G[4596]:=Group([(2,12)(3,11)(5,13)(6,9)(8,14)]); # Design 4597: autom. group order 2, simple, residual B[4597]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,10,12,13],[1,3,5,9,10,11,14],[1,3,6,7,8,12,14],[1,4,5,7,9,13,14],[1,4,6,9,11,12,14],[1,4,8,11,12,13,14],[1,5,7,8,10,11,12],[1,6,7,8,9,10,13],[2,3,7,8,9,12,14],[2,3,8,9,11,13,14],[2,4,5,7,12,13,14],[2,4,6,7,10,11,14],[2,4,7,8,9,10,11],[2,5,6,8,10,12,14],[2,5,6,9,11,12,13],[3,4,5,8,10,12,13],[3,4,6,7,8,11,13],[3,4,6,9,10,12,13],[3,5,6,7,9,11,12],[3,5,7,10,11,13,14],[4,5,6,8,9,10,14]]; G[4597]:=Group([(2,12)(3,11)(5,14)(6,8)(7,13)]); # Design 4598: autom. group order 2, simple B[4598]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,10,12,13],[1,3,5,9,10,11,14],[1,3,6,7,8,12,14],[1,4,5,7,9,13,14],[1,4,6,9,11,12,13],[1,4,8,11,12,13,14],[1,5,7,8,10,11,12],[1,6,7,8,9,10,14],[2,3,7,9,11,12,14],[2,3,8,9,11,13,14],[2,4,5,8,10,12,14],[2,4,6,7,8,11,14],[2,4,7,8,9,10,13],[2,5,6,7,9,11,12],[2,5,6,10,12,13,14],[3,4,5,7,12,13,14],[3,4,6,7,10,11,13],[3,4,6,8,9,10,12],[3,5,6,8,9,12,13],[3,5,7,8,10,11,13],[4,5,6,9,10,11,14]]; G[4598]:=Group([(2,11)(3,12)(5,13)(6,8)(7,14)]); # Design 4599: autom. group order 2, simple, residual B[4599]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,10,12,13],[1,3,5,9,10,11,14],[1,3,6,7,8,12,14],[1,4,5,7,9,13,14],[1,4,6,9,11,12,13],[1,4,8,11,12,13,14],[1,5,7,8,10,11,12],[1,6,7,8,9,10,14],[2,3,7,8,9,12,13],[2,3,8,9,11,13,14],[2,4,5,8,10,12,14],[2,4,6,7,8,11,14],[2,4,7,9,10,11,14],[2,5,6,7,9,11,12],[2,5,6,10,12,13,14],[3,4,5,7,12,13,14],[3,4,6,7,10,11,13],[3,4,6,8,9,10,12],[3,5,6,9,11,12,14],[3,5,7,8,10,11,13],[4,5,6,8,9,10,13]]; G[4599]:=Group([(2,11)(3,12)(5,13)(6,8)(7,14)]); # Design 4600: autom. group order 2, simple, residual B[4600]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,9,11,14],[1,2,7,8,10,13,14],[1,3,5,11,12,13,14],[1,3,6,7,9,12,13],[1,4,5,10,12,13,14],[1,4,6,7,8,12,14],[1,4,8,9,10,11,14],[1,5,7,8,9,11,12],[1,6,7,9,10,11,13],[2,3,7,9,10,11,14],[2,3,8,9,12,13,14],[2,4,5,7,9,13,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,13],[2,5,6,7,10,12,14],[2,5,6,8,10,11,12],[3,4,5,7,10,11,13],[3,4,6,7,8,11,14],[3,4,6,9,10,12,14],[3,5,6,8,11,13,14],[3,5,7,8,9,10,12],[4,5,6,8,9,10,13]]; G[4600]:=Group([(1,12)(3,11)(5,13)(6,8)]); # Design 4601: autom. group order 2, simple B[4601]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,9,11,14],[1,2,7,8,10,11,14],[1,3,5,10,12,13,14],[1,3,6,9,12,13,14],[1,4,5,7,9,13,14],[1,4,6,8,11,12,14],[1,4,7,9,10,11,12],[1,5,7,8,10,12,13],[1,6,7,8,9,11,13],[2,3,7,8,9,12,14],[2,3,7,9,11,12,13],[2,4,5,11,12,13,14],[2,4,6,7,10,13,14],[2,4,8,9,10,13,14],[2,5,6,7,9,10,12],[2,5,6,8,11,12,13],[3,4,5,7,8,11,13],[3,4,6,7,8,12,14],[3,4,6,9,10,11,13],[3,5,6,7,10,11,14],[3,5,8,9,10,11,14],[4,5,6,8,9,10,12]]; G[4601]:=Group([(1,13)(2,4)(3,14)(5,10)(6,9)(7,8)]); # Design 4602: autom. group order 2, simple, residual B[4602]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,11,12,14],[1,2,7,8,9,11,14],[1,3,5,7,12,13,14],[1,3,6,9,12,13,14],[1,4,5,9,10,11,14],[1,4,7,8,11,12,13],[1,4,7,9,10,12,13],[1,5,6,8,9,10,13],[1,6,7,8,10,11,14],[2,3,7,8,9,12,14],[2,3,7,9,10,11,13],[2,4,5,7,10,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,12,14],[2,5,6,7,9,11,13],[2,5,8,10,12,13,14],[3,4,5,8,11,13,14],[3,4,6,7,8,10,14],[3,4,6,9,11,13,14],[3,5,6,7,10,11,12],[3,5,8,9,10,11,12],[4,5,6,7,8,9,12]]; G[4602]:=Group([(1,11)(2,10)(4,12)(6,9)(7,8)]); # Design 4603: autom. group order 2, simple, residual B[4603]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,9,10,12,13],[1,3,5,7,9,10,14],[1,3,6,8,11,12,14],[1,4,5,10,12,13,14],[1,4,7,8,9,11,13],[1,4,7,8,11,13,14],[1,5,6,9,11,12,14],[1,6,7,8,9,10,12],[2,3,7,9,11,12,14],[2,3,8,9,10,13,14],[2,4,5,8,9,11,12],[2,4,6,7,10,11,14],[2,4,6,9,12,13,14],[2,5,6,7,8,12,13],[2,5,7,8,10,11,14],[3,4,5,7,12,13,14],[3,4,6,7,8,10,12],[3,4,6,9,10,11,13],[3,5,6,7,9,11,13],[3,5,8,10,11,12,13],[4,5,6,8,9,10,14]]; G[4603]:=Group([(1,8)(2,12)(3,6)(4,7)(5,10)(11,13)]); # Design 4604: autom. group order 2, simple, residual B[4604]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,6,10,11,13],[1,2,7,8,12,13,14],[1,3,5,8,9,10,14],[1,3,7,9,11,12,13],[1,4,5,9,11,13,14],[1,4,6,8,11,12,14],[1,4,6,9,10,12,13],[1,5,7,8,10,12,14],[1,6,7,8,9,10,11],[2,3,6,8,9,10,12],[2,3,8,9,11,13,14],[2,4,5,7,8,11,12],[2,4,6,8,10,13,14],[2,4,7,9,10,11,14],[2,5,6,9,11,12,14],[2,5,7,9,10,12,13],[3,4,5,10,12,13,14],[3,4,6,7,9,12,14],[3,4,7,8,10,11,13],[3,5,6,7,10,11,14],[3,5,6,8,11,12,13],[4,5,6,7,8,9,13]]; G[4604]:=Group([(2,8)(3,14)(4,12)(5,7)(6,10)(9,13)]); # Design 4605: autom. group order 2, simple, residual B[4605]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,6,8,11,14],[1,2,7,9,10,12,14],[1,3,5,11,12,13,14],[1,3,7,9,11,12,14],[1,4,5,8,10,12,13],[1,4,6,8,9,11,14],[1,4,6,9,10,13,14],[1,5,7,8,9,12,13],[1,6,7,8,10,11,13],[2,3,6,8,12,13,14],[2,3,8,9,10,13,14],[2,4,5,7,9,13,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,13],[2,5,6,9,10,11,12],[2,5,7,8,10,11,14],[3,4,5,10,11,13,14],[3,4,6,7,8,12,14],[3,4,7,8,9,10,11],[3,5,6,7,9,11,13],[3,5,6,8,9,10,12],[4,5,6,7,10,12,14]]; G[4605]:=Group([(1,12)(3,11)(5,13)(7,9)]); # Design 4606: autom. group order 2, simple, residual B[4606]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,6,10,11,13],[1,2,7,8,12,13,14],[1,3,5,8,9,10,14],[1,3,7,9,11,12,13],[1,4,5,9,11,13,14],[1,4,6,8,11,12,14],[1,4,6,9,10,12,13],[1,5,7,8,10,12,14],[1,6,7,8,9,10,11],[2,3,6,8,10,11,14],[2,3,9,10,12,13,14],[2,4,5,8,10,12,13],[2,4,6,7,8,9,12],[2,4,7,9,10,11,14],[2,5,6,9,11,12,14],[2,5,7,8,9,11,13],[3,4,5,7,11,12,14],[3,4,6,8,9,13,14],[3,4,7,8,10,11,13],[3,5,6,7,9,10,12],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[4606]:=Group([(2,8)(3,14)(4,12)(5,7)(6,10)(9,13)]); # Design 4607: autom. group order 2, simple, residual B[4607]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,6,10,11,13],[1,2,8,10,11,12,14],[1,3,5,10,12,13,14],[1,3,7,8,9,10,14],[1,4,5,7,9,11,12],[1,4,6,8,9,11,14],[1,4,6,9,12,13,14],[1,5,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,6,8,9,12,13],[2,3,7,9,11,12,14],[2,4,5,8,11,13,14],[2,4,6,7,8,10,14],[2,4,7,9,10,12,13],[2,5,6,8,9,10,12],[2,5,7,9,11,13,14],[3,4,5,8,12,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,13],[3,5,6,7,8,11,12],[3,5,6,9,10,11,14],[4,5,6,7,10,12,14]]; G[4607]:=Group([(1,10)(2,11)(5,13)(7,9)]); # Design 4608: autom. group order 2, simple, residual B[4608]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,6,10,11,13],[1,2,8,9,10,12,13],[1,3,5,8,11,12,14],[1,3,7,8,9,10,14],[1,4,5,9,10,13,14],[1,4,6,7,9,11,12],[1,4,6,8,12,13,14],[1,5,7,10,11,12,14],[1,6,7,8,9,11,13],[2,3,6,9,11,12,14],[2,3,7,9,10,12,13],[2,4,5,9,11,13,14],[2,4,6,8,10,12,14],[2,4,7,8,9,11,14],[2,5,6,7,8,10,14],[2,5,7,8,11,12,13],[3,4,5,7,8,12,13],[3,4,6,8,10,11,13],[3,4,7,10,11,13,14],[3,5,6,8,9,10,11],[3,5,6,9,12,13,14],[4,5,6,7,9,10,12]]; G[4608]:=Group([(1,10)(2,11)(5,13)(7,8)(9,14)]); # Design 4609: autom. group order 2, simple, residual B[4609]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,7,12,14],[1,2,7,8,10,13,14],[1,3,5,9,11,13,14],[1,3,7,9,10,13,14],[1,4,5,8,12,13,14],[1,4,6,7,9,12,13],[1,4,6,8,9,11,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,8,11,12,14],[2,4,5,9,10,11,14],[2,4,6,8,10,13,14],[2,4,7,9,11,12,13],[2,5,6,9,10,12,14],[2,5,7,8,9,11,13],[3,4,5,8,10,12,13],[3,4,6,7,8,11,14],[3,4,7,9,10,12,14],[3,5,6,7,8,9,10],[3,5,6,11,12,13,14],[4,5,6,7,10,11,13]]; G[4609]:=Group([(2,11)(3,10)(4,12)(5,8)(7,9)]); # Design 4610: autom. group order 2, simple, residual B[4610]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,7,12,14],[1,2,7,8,10,13,14],[1,3,5,9,11,13,14],[1,3,7,9,10,13,14],[1,4,5,8,12,13,14],[1,4,6,7,9,12,13],[1,4,6,8,9,11,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,9,12,14],[2,3,7,8,11,12,14],[2,4,5,9,10,11,14],[2,4,6,8,10,13,14],[2,4,7,9,11,12,13],[2,5,6,9,10,12,13],[2,5,7,8,9,11,13],[3,4,5,8,10,12,13],[3,4,6,7,8,11,13],[3,4,7,9,10,12,14],[3,5,6,7,8,9,10],[3,5,6,11,12,13,14],[4,5,6,7,10,11,14]]; G[4610]:=Group([(2,11)(3,10)(4,12)(5,8)(7,9)]); # Design 4611: autom. group order 2, simple B[4611]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,7,12,14],[1,2,7,8,10,13,14],[1,3,5,9,11,13,14],[1,3,7,9,12,13,14],[1,4,5,8,11,13,14],[1,4,6,7,8,12,13],[1,4,6,8,9,10,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,8,10,11,14],[2,4,5,9,10,12,13],[2,4,6,9,11,13,14],[2,4,7,9,11,12,14],[2,5,6,8,11,12,14],[2,5,7,8,9,10,13],[3,4,5,8,10,12,14],[3,4,6,7,9,10,14],[3,4,7,8,11,12,13],[3,5,6,7,8,9,11],[3,5,6,10,12,13,14],[4,5,6,7,10,11,13]]; G[4611]:=Group([(2,10)(3,11)(4,12)(5,9)(7,8)]); # Design 4612: autom. group order 2, simple B[4612]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,7,12,14],[1,2,7,8,10,13,14],[1,3,5,9,11,13,14],[1,3,7,9,12,13,14],[1,4,5,8,11,13,14],[1,4,6,7,8,12,13],[1,4,6,8,9,10,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,9,12,14],[2,3,7,8,10,11,14],[2,4,5,9,10,12,13],[2,4,6,9,11,13,14],[2,4,7,9,11,12,14],[2,5,6,8,11,12,13],[2,5,7,8,9,10,13],[3,4,5,8,10,12,14],[3,4,6,7,9,10,13],[3,4,7,8,11,12,13],[3,5,6,7,8,9,11],[3,5,6,10,12,13,14],[4,5,6,7,10,11,14]]; G[4612]:=Group([(2,10)(3,11)(4,12)(5,9)(7,8)]); # Design 4613: autom. group order 2, simple B[4613]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,7,12,14],[1,2,7,8,10,13,14],[1,3,5,9,11,13,14],[1,3,7,9,12,13,14],[1,4,5,8,11,13,14],[1,4,6,7,8,12,13],[1,4,6,8,9,10,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,9,12,14],[2,3,7,8,10,11,14],[2,4,5,9,10,12,14],[2,4,6,9,11,13,14],[2,4,7,9,11,12,13],[2,5,6,8,11,12,13],[2,5,7,8,9,10,13],[3,4,5,8,10,12,13],[3,4,6,7,9,10,13],[3,4,7,8,11,12,14],[3,5,6,7,8,9,11],[3,5,6,10,12,13,14],[4,5,6,7,10,11,14]]; G[4613]:=Group([(2,10)(3,11)(4,12)(5,9)(7,8)]); # Design 4614: autom. group order 2, simple, residual B[4614]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,7,12,14],[1,2,7,8,10,13,14],[1,3,5,9,11,13,14],[1,3,7,8,12,13,14],[1,4,5,9,10,13,14],[1,4,6,7,9,12,13],[1,4,6,8,9,11,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,9,12,14],[2,3,7,9,10,11,14],[2,4,5,8,11,12,13],[2,4,6,8,10,13,14],[2,4,7,9,11,12,14],[2,5,6,9,10,12,13],[2,5,7,8,9,11,13],[3,4,5,8,10,12,14],[3,4,6,7,8,11,13],[3,4,7,9,10,12,13],[3,5,6,7,8,9,10],[3,5,6,11,12,13,14],[4,5,6,7,10,11,14]]; G[4614]:=Group([(2,11)(3,10)(4,12)(5,8)(7,9)]); # Design 4615: autom. group order 2, simple, residual B[4615]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,7,12,14],[1,2,7,8,10,13,14],[1,3,5,9,11,13,14],[1,3,7,8,12,13,14],[1,4,5,9,10,13,14],[1,4,6,7,9,12,13],[1,4,6,8,9,11,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,9,12,14],[2,3,7,9,10,11,14],[2,4,5,8,11,12,14],[2,4,6,8,10,13,14],[2,4,7,9,11,12,13],[2,5,6,9,10,12,13],[2,5,7,8,9,11,13],[3,4,5,8,10,12,13],[3,4,6,7,8,11,13],[3,4,7,9,10,12,14],[3,5,6,7,8,9,10],[3,5,6,11,12,13,14],[4,5,6,7,10,11,14]]; G[4615]:=Group([(2,11)(3,10)(4,12)(5,8)(7,9)]); # Design 4616: autom. group order 2, simple, residual B[4616]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,7,12,14],[1,2,7,8,10,13,14],[1,3,5,9,11,13,14],[1,3,7,8,11,13,14],[1,4,5,9,12,13,14],[1,4,6,7,8,12,13],[1,4,6,8,9,10,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,9,10,12,14],[2,4,5,8,10,11,14],[2,4,6,9,11,13,14],[2,4,7,9,11,12,13],[2,5,6,8,11,12,14],[2,5,7,8,9,10,13],[3,4,5,8,10,12,13],[3,4,6,7,9,10,14],[3,4,7,8,11,12,14],[3,5,6,7,8,9,11],[3,5,6,10,12,13,14],[4,5,6,7,10,11,13]]; G[4616]:=Group([(2,10)(3,11)(4,12)(5,9)(7,8)]); # Design 4617: autom. group order 2, simple, residual B[4617]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,7,12,14],[1,2,7,8,10,13,14],[1,3,5,9,11,13,14],[1,3,7,8,11,13,14],[1,4,5,9,12,13,14],[1,4,6,7,8,12,13],[1,4,6,8,9,10,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,9,12,14],[2,3,7,9,10,12,14],[2,4,5,8,10,11,14],[2,4,6,9,11,13,14],[2,4,7,9,11,12,13],[2,5,6,8,11,12,13],[2,5,7,8,9,10,13],[3,4,5,8,10,12,13],[3,4,6,7,9,10,13],[3,4,7,8,11,12,14],[3,5,6,7,8,9,11],[3,5,6,10,12,13,14],[4,5,6,7,10,11,14]]; G[4617]:=Group([(2,10)(3,11)(4,12)(5,9)(7,8)]); # Design 4618: autom. group order 2, simple, residual B[4618]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,7,10,11],[1,2,7,9,10,12,13],[1,3,5,11,12,13,14],[1,3,7,9,11,12,13],[1,4,5,8,10,12,14],[1,4,6,8,9,11,13],[1,4,6,9,10,13,14],[1,5,7,8,9,12,14],[1,6,7,8,10,11,14],[2,3,6,9,10,12,14],[2,3,7,8,10,13,14],[2,4,5,7,9,13,14],[2,4,6,9,11,12,14],[2,4,7,8,11,12,14],[2,5,6,8,11,12,13],[2,5,8,9,10,11,13],[3,4,5,10,11,13,14],[3,4,6,7,8,12,13],[3,4,7,8,9,10,11],[3,5,6,7,9,11,14],[3,5,6,8,9,10,12],[4,5,6,7,10,12,13]]; G[4618]:=Group([(1,12)(3,11)(5,14)(7,9)]); # Design 4619: autom. group order 2, simple, residual B[4619]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,7,10,13],[1,2,7,8,9,11,14],[1,3,5,11,12,13,14],[1,3,7,9,11,13,14],[1,4,5,8,10,12,14],[1,4,6,8,9,11,12],[1,4,6,9,10,11,13],[1,5,7,9,10,12,14],[1,6,7,8,10,12,13],[2,3,6,9,10,12,14],[2,3,7,8,10,11,12],[2,4,5,10,11,13,14],[2,4,6,9,12,13,14],[2,4,7,8,12,13,14],[2,5,6,7,9,11,12],[2,5,8,9,10,11,13],[3,4,5,7,9,12,13],[3,4,6,7,10,11,14],[3,4,7,8,9,10,13],[3,5,6,8,9,10,14],[3,5,6,8,11,12,13],[4,5,6,7,8,11,14]]; G[4619]:=Group([(1,14)(3,13)(5,12)(7,9)]); # Design 4620: autom. group order 2, simple, residual B[4620]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,9,12,13,14],[1,3,5,7,9,10,14],[1,3,7,8,11,12,13],[1,4,5,7,11,13,14],[1,4,6,8,10,12,13],[1,4,6,9,11,12,14],[1,5,8,9,10,12,14],[1,6,7,8,9,10,11],[2,3,6,7,9,10,12],[2,3,8,9,11,13,14],[2,4,5,8,9,11,12],[2,4,6,9,10,13,14],[2,4,7,8,10,11,14],[2,5,6,7,11,12,14],[2,5,7,8,10,12,13],[3,4,5,10,12,13,14],[3,4,6,7,8,12,14],[3,4,7,9,10,11,13],[3,5,6,8,10,11,14],[3,5,6,9,11,12,13],[4,5,6,7,8,9,13]]; G[4620]:=Group([(1,8)(2,5)(3,9)(6,12)(7,11)(10,13)]); # Design 4621: autom. group order 2, simple, residual B[4621]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,8,9,10,12],[1,3,5,7,12,13,14],[1,3,7,9,10,13,14],[1,4,5,7,11,12,14],[1,4,6,8,9,11,14],[1,4,6,9,10,12,13],[1,5,8,9,11,12,13],[1,6,7,8,10,11,14],[2,3,6,7,9,11,12],[2,3,8,10,11,12,14],[2,4,5,10,11,13,14],[2,4,6,9,12,13,14],[2,4,7,8,12,13,14],[2,5,6,7,9,10,14],[2,5,7,8,9,11,13],[3,4,5,8,9,10,14],[3,4,6,7,8,11,13],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[3,5,6,9,11,12,14],[4,5,6,7,8,10,12]]; G[4621]:=Group([(1,14)(3,13)(5,12)(6,8)]); # Design 4622: autom. group order 2, simple, residual B[4622]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,9,11,14],[1,2,7,8,9,12,13],[1,3,5,7,11,12,14],[1,3,7,9,12,13,14],[1,4,5,10,12,13,14],[1,4,6,7,8,11,14],[1,4,6,9,10,13,14],[1,5,7,8,10,11,13],[1,6,8,9,10,11,12],[2,3,6,7,10,13,14],[2,3,8,10,11,12,14],[2,4,5,8,12,13,14],[2,4,6,7,11,12,13],[2,4,7,9,10,11,14],[2,5,6,9,11,12,13],[2,5,7,8,9,10,14],[3,4,5,9,10,11,13],[3,4,6,8,9,12,14],[3,4,7,8,9,11,13],[3,5,6,7,9,10,12],[3,5,6,8,11,13,14],[4,5,6,7,8,10,12]]; G[4622]:=Group([(1,14)(3,10)(4,7)(5,9)(6,11)(12,13)]); # Design 4623: autom. group order 2, simple, residual B[4623]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,11,12,13],[1,2,7,8,10,11,13],[1,3,5,7,8,12,14],[1,3,7,9,10,11,14],[1,4,5,9,12,13,14],[1,4,6,7,9,11,14],[1,4,6,8,9,10,13],[1,5,8,9,10,11,12],[1,6,7,8,12,13,14],[2,3,6,7,8,9,12],[2,3,8,9,11,13,14],[2,4,5,7,11,13,14],[2,4,6,8,10,12,14],[2,4,7,9,10,12,14],[2,5,6,8,9,11,14],[2,5,7,9,10,12,13],[3,4,5,8,10,13,14],[3,4,6,9,11,12,13],[3,4,7,8,11,12,13],[3,5,6,7,9,10,13],[3,5,6,10,11,12,14],[4,5,6,7,8,10,11]]; G[4623]:=Group([(1,11)(2,12)(5,13)(7,9)]); # Design 4624: autom. group order 2, simple B[4624]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,9,10,12,13],[1,3,5,7,11,12,14],[1,3,7,8,11,13,14],[1,4,5,9,12,13,14],[1,4,6,7,8,10,12],[1,4,6,9,10,11,14],[1,5,8,9,10,11,14],[1,6,7,8,9,12,13],[2,3,6,7,9,10,14],[2,3,8,9,10,12,14],[2,4,5,7,9,13,14],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,6,8,9,11,12],[2,5,7,8,10,11,13],[3,4,5,8,10,12,13],[3,4,6,8,9,11,13],[3,4,7,9,10,11,13],[3,5,6,7,9,11,12],[3,5,6,10,12,13,14],[4,5,6,7,8,10,14]]; G[4624]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 4625: autom. group order 2, simple B[4625]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,10,12,13],[1,3,5,7,11,12,14],[1,3,7,8,9,11,14],[1,4,5,9,12,13,14],[1,4,6,7,8,10,12],[1,4,6,9,10,11,14],[1,5,8,10,11,13,14],[1,6,7,8,9,12,13],[2,3,6,8,9,12,14],[2,3,7,9,10,11,13],[2,4,5,7,9,13,14],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,6,7,8,10,14],[2,5,8,9,10,11,12],[3,4,5,8,10,12,13],[3,4,6,8,9,11,13],[3,4,7,8,10,13,14],[3,5,6,7,11,12,13],[3,5,6,9,10,12,14],[4,5,6,7,9,10,11]]; G[4625]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 4626: autom. group order 2, simple B[4626]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,10,12,13],[1,3,5,7,11,12,14],[1,3,7,8,9,11,14],[1,4,5,9,12,13,14],[1,4,6,7,8,10,12],[1,4,6,9,10,11,14],[1,5,8,10,11,13,14],[1,6,7,8,9,12,13],[2,3,6,8,9,12,14],[2,3,7,8,10,13,14],[2,4,5,7,9,13,14],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,6,7,9,10,11],[2,5,8,9,10,11,12],[3,4,5,8,10,12,13],[3,4,6,8,9,11,13],[3,4,7,9,10,11,13],[3,5,6,7,11,12,13],[3,5,6,9,10,12,14],[4,5,6,7,8,10,14]]; G[4626]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 4627: autom. group order 2, simple, residual B[4627]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,9,10,14],[1,3,5,7,11,12,14],[1,3,7,9,11,12,13],[1,4,5,9,12,13,14],[1,4,6,7,8,10,12],[1,4,6,9,10,11,14],[1,5,8,10,11,13,14],[1,6,7,8,9,12,13],[2,3,6,8,9,12,14],[2,3,7,9,10,11,13],[2,4,5,7,9,13,14],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,6,7,10,12,13],[2,5,8,9,10,11,12],[3,4,5,8,10,12,13],[3,4,6,8,9,11,13],[3,4,7,8,10,13,14],[3,5,6,7,8,11,14],[3,5,6,9,10,12,14],[4,5,6,7,9,10,11]]; G[4627]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 4628: autom. group order 2, simple, residual B[4628]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,9,10,14],[1,3,5,7,11,12,14],[1,3,7,9,11,12,13],[1,4,5,10,12,13,14],[1,4,6,7,8,10,12],[1,4,6,9,11,13,14],[1,5,8,9,10,11,14],[1,6,7,8,9,12,13],[2,3,6,8,12,13,14],[2,3,7,9,10,11,13],[2,4,5,7,9,13,14],[2,4,6,9,11,12,14],[2,4,7,8,11,12,14],[2,5,6,7,9,10,12],[2,5,8,10,11,12,13],[3,4,5,8,9,12,13],[3,4,6,8,9,10,11],[3,4,7,8,10,13,14],[3,5,6,7,8,11,14],[3,5,6,9,10,12,14],[4,5,6,7,10,11,13]]; G[4628]:=Group([(1,12)(3,11)(5,14)(6,8)]); # Design 4629: autom. group order 2, simple, residual B[4629]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,10,12,13,14],[1,3,5,7,11,12,14],[1,3,7,8,9,10,14],[1,4,5,9,10,13,14],[1,4,6,7,9,12,13],[1,4,6,8,11,12,14],[1,5,8,9,10,11,12],[1,6,7,8,9,11,13],[2,3,6,9,11,12,14],[2,3,8,9,10,12,13],[2,4,5,9,11,13,14],[2,4,6,7,9,10,12],[2,4,7,8,9,11,14],[2,5,6,7,8,10,14],[2,5,7,8,11,12,13],[3,4,5,7,8,12,13],[3,4,6,8,10,11,13],[3,4,7,10,11,13,14],[3,5,6,7,9,10,11],[3,5,6,9,12,13,14],[4,5,6,8,10,12,14]]; G[4629]:=Group([(1,10)(2,11)(5,13)(7,8)(9,14)]); # Design 4630: autom. group order 2, simple B[4630]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,11,13,14],[1,3,5,7,11,12,14],[1,3,7,8,9,10,12],[1,4,5,8,12,13,14],[1,4,6,8,9,10,11],[1,4,6,10,12,13,14],[1,5,7,9,10,12,13],[1,6,7,8,9,11,14],[2,3,6,7,8,12,14],[2,3,8,9,10,13,14],[2,4,5,7,9,10,14],[2,4,6,7,9,12,13],[2,4,7,8,11,12,13],[2,5,6,9,10,11,12],[2,5,8,10,11,12,14],[3,4,5,9,11,13,14],[3,4,6,9,11,12,14],[3,4,7,8,10,11,13],[3,5,6,7,10,11,13],[3,5,6,8,9,12,13],[4,5,6,7,8,10,14]]; G[4630]:=Group([(1,11)(3,12)(4,10)(6,8)(7,14)]); # Design 4631: autom. group order 2, simple B[4631]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,9,10,13],[1,3,5,7,11,12,14],[1,3,8,9,10,11,14],[1,4,5,8,12,13,14],[1,4,6,7,9,11,12],[1,4,6,10,12,13,14],[1,5,7,9,10,12,13],[1,6,7,8,9,11,14],[2,3,6,7,8,12,14],[2,3,7,9,12,13,14],[2,4,5,7,9,10,14],[2,4,6,9,11,13,14],[2,4,7,8,11,12,13],[2,5,6,9,10,11,12],[2,5,8,10,11,12,14],[3,4,5,9,11,13,14],[3,4,6,8,9,10,12],[3,4,7,8,10,11,13],[3,5,6,7,10,11,13],[3,5,6,8,9,12,13],[4,5,6,7,8,10,14]]; G[4631]:=Group([(1,11)(3,12)(4,10)(6,8)(7,14)]); # Design 4632: autom. group order 2, simple, residual B[4632]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,11,13,14],[1,2,7,9,10,12,13],[1,3,5,9,12,13,14],[1,3,7,8,10,12,14],[1,4,5,7,11,12,14],[1,4,6,7,9,10,14],[1,4,6,8,11,12,13],[1,5,7,8,9,11,13],[1,6,8,9,10,11,14],[2,3,6,7,9,11,14],[2,3,7,8,11,13,14],[2,4,5,9,10,13,14],[2,4,6,8,9,12,14],[2,4,7,8,12,13,14],[2,5,6,7,10,11,12],[2,5,8,9,10,11,12],[3,4,5,8,10,11,14],[3,4,6,9,11,12,13],[3,4,7,9,10,11,13],[3,5,6,7,8,9,12],[3,5,6,10,12,13,14],[4,5,6,7,8,10,13]]; G[4632]:=Group([(1,10)(3,12)(4,11)(6,9)(7,8)]); # Design 4633: autom. group order 2, simple B[4633]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,11,13,14],[1,2,7,8,10,11,12],[1,3,5,9,11,12,13],[1,3,7,8,12,13,14],[1,4,5,7,9,10,13],[1,4,6,7,11,12,14],[1,4,6,8,9,10,14],[1,5,7,8,9,11,14],[1,6,8,9,10,12,13],[2,3,6,7,8,9,12],[2,3,7,9,10,13,14],[2,4,5,8,10,12,14],[2,4,6,8,9,11,13],[2,4,9,11,12,13,14],[2,5,6,7,9,12,14],[2,5,7,8,10,11,13],[3,4,5,8,12,13,14],[3,4,6,7,8,11,13],[3,4,7,9,10,11,14],[3,5,6,8,10,11,14],[3,5,6,9,10,11,12],[4,5,6,7,10,12,13]]; G[4633]:=Group([(1,7)(2,10)(3,13)(4,5)(6,9)(8,12)]); # Design 4634: autom. group order 2, simple B[4634]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,12,13,14],[1,2,7,8,10,13,14],[1,3,5,8,9,11,14],[1,3,7,8,9,12,13],[1,4,5,7,11,13,14],[1,4,6,7,8,12,14],[1,4,6,8,9,10,13],[1,5,9,10,11,12,14],[1,6,7,9,10,11,12],[2,3,6,7,9,12,14],[2,3,7,8,10,11,14],[2,4,5,7,9,10,12],[2,4,6,9,11,13,14],[2,4,8,9,11,12,13],[2,5,6,8,9,10,14],[2,5,7,8,11,12,13],[3,4,5,10,12,13,14],[3,4,6,8,11,12,14],[3,4,7,9,10,13,14],[3,5,6,7,9,11,13],[3,5,6,8,10,12,13],[4,5,6,7,8,10,11]]; G[4634]:=Group([(2,10)(3,11)(4,12)(5,9)(8,14)]); # Design 4635: autom. group order 2, simple B[4635]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,12,13,14],[1,2,7,8,10,13,14],[1,3,5,8,9,11,14],[1,3,7,8,9,12,13],[1,4,5,7,11,13,14],[1,4,6,7,8,12,14],[1,4,6,8,9,10,13],[1,5,9,10,11,12,14],[1,6,7,9,10,11,12],[2,3,6,9,12,13,14],[2,3,7,8,10,11,14],[2,4,5,7,9,10,12],[2,4,6,7,9,11,14],[2,4,8,9,11,12,13],[2,5,6,8,9,10,14],[2,5,7,8,11,12,13],[3,4,5,10,12,13,14],[3,4,6,8,11,12,14],[3,4,7,9,10,13,14],[3,5,6,7,8,10,12],[3,5,6,7,9,11,13],[4,5,6,8,10,11,13]]; G[4635]:=Group([(2,10)(3,11)(4,12)(5,9)(8,14)]); # Design 4636: autom. group order 2, simple, residual B[4636]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,12,13,14],[1,2,7,8,10,13,14],[1,3,5,8,9,11,14],[1,3,7,8,11,13,14],[1,4,5,7,9,12,13],[1,4,6,7,8,12,14],[1,4,6,8,9,10,13],[1,5,9,10,11,12,14],[1,6,7,9,10,11,12],[2,3,6,9,12,13,14],[2,3,7,8,9,10,12],[2,4,5,7,10,11,14],[2,4,6,7,9,11,14],[2,4,8,9,11,12,13],[2,5,6,8,9,10,14],[2,5,7,8,11,12,13],[3,4,5,10,12,13,14],[3,4,6,8,11,12,14],[3,4,7,9,10,13,14],[3,5,6,7,8,10,12],[3,5,6,7,9,11,13],[4,5,6,8,10,11,13]]; G[4636]:=Group([(2,10)(3,11)(4,12)(5,9)(8,14)]); # Design 4637: autom. group order 2, simple B[4637]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,9,10,12,13],[1,3,5,9,11,12,14],[1,3,7,8,9,11,14],[1,4,5,7,12,13,14],[1,4,6,7,10,11,14],[1,4,6,8,9,10,12],[1,5,8,10,11,13,14],[1,6,7,8,9,12,13],[2,3,6,9,10,13,14],[2,3,7,8,10,12,14],[2,4,5,7,9,13,14],[2,4,6,9,11,12,14],[2,4,8,11,12,13,14],[2,5,6,7,8,11,12],[2,5,7,8,9,10,11],[3,4,5,8,10,12,13],[3,4,6,7,8,11,13],[3,4,7,9,10,11,13],[3,5,6,7,10,12,14],[3,5,6,9,11,12,13],[4,5,6,8,9,10,14]]; G[4637]:=Group([(1,12)(3,11)(5,14)(6,8)(7,13)]); # Design 4638: autom. group order 2, simple, residual B[4638]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,9,10,13,14],[1,3,5,9,10,12,13],[1,3,7,8,10,12,14],[1,4,5,7,11,12,14],[1,4,6,7,9,12,13],[1,4,6,8,9,11,14],[1,5,8,9,10,11,14],[1,6,7,8,11,12,13],[2,3,6,9,11,12,14],[2,3,7,8,9,11,12],[2,4,5,11,12,13,14],[2,4,6,7,9,10,14],[2,4,8,10,12,13,14],[2,5,6,7,8,10,12],[2,5,7,8,9,11,13],[3,4,5,7,8,13,14],[3,4,6,8,10,11,13],[3,4,7,9,10,11,13],[3,5,6,7,10,11,14],[3,5,6,9,12,13,14],[4,5,6,8,9,10,12]]; G[4638]:=Group([(1,10)(2,11)(5,13)(7,8)]); # Design 4639: autom. group order 2, simple, residual B[4639]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,11,13,14],[1,2,7,8,12,13,14],[1,3,5,9,11,12,13],[1,3,7,8,9,10,13],[1,4,5,7,9,10,14],[1,4,6,8,9,12,14],[1,4,6,8,10,11,12],[1,5,7,8,11,12,13],[1,6,7,9,10,11,14],[2,3,6,7,9,11,12],[2,3,7,8,10,12,14],[2,4,5,7,8,11,14],[2,4,6,7,9,12,13],[2,4,8,9,10,11,13],[2,5,6,8,9,10,13],[2,5,9,10,11,12,14],[3,4,5,10,12,13,14],[3,4,6,8,11,13,14],[3,4,7,9,11,13,14],[3,5,6,7,8,10,11],[3,5,6,8,9,12,14],[4,5,6,7,10,12,13]]; G[4639]:=Group([(1,13)(2,14)(5,11)(7,8)]); # Design 4640: autom. group order 2, simple B[4640]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,9,10,12],[1,3,5,9,12,13,14],[1,3,7,9,11,12,13],[1,4,5,7,11,12,14],[1,4,6,8,11,12,14],[1,4,6,9,10,13,14],[1,5,7,8,10,13,14],[1,6,7,8,9,10,11],[2,3,6,7,9,11,14],[2,3,7,8,11,13,14],[2,4,5,7,9,10,14],[2,4,6,8,9,12,13],[2,4,7,8,12,13,14],[2,5,6,10,11,12,14],[2,5,9,10,11,12,13],[3,4,5,8,10,11,13],[3,4,6,7,10,12,13],[3,4,8,9,10,11,14],[3,5,6,7,8,10,12],[3,5,6,8,9,12,14],[4,5,6,7,9,11,13]]; G[4640]:=Group([(1,10)(3,12)(4,11)(6,9)(7,13)(8,14)]); # Design 4641: autom. group order 2, simple, residual B[4641]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,9,10,11,14],[1,3,5,10,12,13,14],[1,3,7,9,10,12,14],[1,4,5,7,8,11,12],[1,4,6,8,9,12,14],[1,4,6,9,11,13,14],[1,5,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,6,7,9,11,12],[2,3,7,8,11,13,14],[2,4,5,7,9,13,14],[2,4,6,9,10,12,13],[2,4,7,8,10,12,13],[2,5,6,8,10,12,14],[2,5,8,9,11,12,14],[3,4,5,11,12,13,14],[3,4,6,7,8,10,14],[3,4,8,9,10,11,13],[3,5,6,7,9,12,13],[3,5,6,8,9,10,11],[4,5,6,7,10,11,14]]; G[4641]:=Group([(1,10)(3,12)(5,13)(7,9)]); # Design 4642: autom. group order 2, simple B[4642]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,9,12,13],[1,3,5,11,12,13,14],[1,3,7,9,10,13,14],[1,4,5,7,8,10,14],[1,4,6,8,9,12,14],[1,4,6,9,10,11,12],[1,5,7,9,11,12,13],[1,6,7,8,10,11,14],[2,3,6,7,9,12,14],[2,3,7,8,10,11,12],[2,4,5,10,12,13,14],[2,4,6,9,11,13,14],[2,4,7,8,11,13,14],[2,5,6,7,9,10,11],[2,5,8,9,10,12,14],[3,4,5,7,9,11,14],[3,4,6,7,8,12,13],[3,4,8,9,10,11,13],[3,5,6,8,9,10,13],[3,5,6,8,11,12,14],[4,5,6,7,10,12,13]]; G[4642]:=Group([(1,13)(3,14)(5,11)(7,9)]); # Design 4643: autom. group order 2, simple, residual B[4643]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,9,12,13],[1,3,5,11,12,13,14],[1,3,7,9,12,13,14],[1,4,5,7,8,10,14],[1,4,6,8,9,12,14],[1,4,6,9,10,11,12],[1,5,7,9,10,11,13],[1,6,7,8,10,11,14],[2,3,6,7,9,10,14],[2,3,7,8,10,11,12],[2,4,5,10,12,13,14],[2,4,6,9,11,13,14],[2,4,7,8,11,13,14],[2,5,6,7,9,11,12],[2,5,8,9,10,12,14],[3,4,5,7,9,11,14],[3,4,6,7,8,12,13],[3,4,8,9,10,11,13],[3,5,6,8,9,10,13],[3,5,6,8,11,12,14],[4,5,6,7,10,12,13]]; G[4643]:=Group([(1,13)(3,14)(5,11)(7,9)]); # Design 4644: autom. group order 2, simple, residual B[4644]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,11,13,14],[1,2,7,9,11,12,13],[1,3,5,9,10,11,14],[1,3,7,8,12,13,14],[1,4,5,7,9,12,14],[1,4,6,8,11,12,14],[1,4,6,9,10,13,14],[1,5,7,8,10,12,13],[1,6,7,8,9,10,11],[2,3,6,7,11,12,14],[2,3,7,9,10,13,14],[2,4,5,10,12,13,14],[2,4,6,8,9,12,13],[2,4,7,8,10,11,14],[2,5,6,7,8,9,14],[2,5,8,9,10,11,12],[3,4,5,7,8,11,13],[3,4,6,7,9,10,12],[3,4,8,9,11,13,14],[3,5,6,8,10,12,14],[3,5,6,9,11,12,13],[4,5,6,7,10,11,13]]; G[4644]:=Group([(2,12)(3,7)(4,13)(5,8)(6,14)(9,10)]); # Design 4645: autom. group order 2, simple, residual B[4645]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,8,9,12,13],[1,3,5,10,12,13,14],[1,3,7,9,11,13,14],[1,4,5,7,8,11,14],[1,4,6,8,9,10,12],[1,4,6,9,11,12,14],[1,5,7,9,10,12,13],[1,6,7,8,10,11,14],[2,3,6,7,9,12,14],[2,3,7,8,10,11,12],[2,4,5,11,12,13,14],[2,4,6,9,10,13,14],[2,4,7,8,10,13,14],[2,5,6,7,9,10,11],[2,5,8,9,11,12,14],[3,4,5,7,9,10,14],[3,4,6,7,11,12,13],[3,4,8,9,10,11,13],[3,5,6,8,9,11,13],[3,5,6,8,10,12,14],[4,5,6,7,8,12,13]]; G[4645]:=Group([(1,13)(3,14)(5,10)(7,9)]); # Design 4646: autom. group order 2, simple B[4646]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,8,9,12,13],[1,3,5,10,12,13,14],[1,3,7,9,12,13,14],[1,4,5,7,8,11,14],[1,4,6,8,9,10,12],[1,4,6,9,11,12,14],[1,5,7,9,10,11,13],[1,6,7,8,10,11,14],[2,3,6,7,9,11,14],[2,3,7,8,10,11,12],[2,4,5,11,12,13,14],[2,4,6,9,10,13,14],[2,4,7,8,10,13,14],[2,5,6,7,9,10,12],[2,5,8,9,11,12,14],[3,4,5,7,9,10,14],[3,4,6,7,11,12,13],[3,4,8,9,10,11,13],[3,5,6,8,9,11,13],[3,5,6,8,10,12,14],[4,5,6,7,8,12,13]]; G[4646]:=Group([(1,13)(3,14)(5,10)(7,9)]); # Design 4647: autom. group order 2, simple B[4647]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,9,10,12],[1,3,5,9,12,13,14],[1,3,7,9,11,12,13],[1,4,5,7,11,12,14],[1,4,6,8,11,12,14],[1,4,6,9,10,13,14],[1,5,7,8,10,13,14],[1,6,7,8,9,10,11],[2,3,6,8,9,12,14],[2,3,7,8,11,13,14],[2,4,5,7,9,10,14],[2,4,6,7,9,11,13],[2,4,7,8,12,13,14],[2,5,6,10,11,12,14],[2,5,9,10,11,12,13],[3,4,5,8,10,11,13],[3,4,6,7,10,12,13],[3,4,8,9,10,11,14],[3,5,6,7,8,10,12],[3,5,6,7,9,11,14],[4,5,6,8,9,12,13]]; G[4647]:=Group([(1,10)(3,12)(4,11)(6,9)(7,13)(8,14)]); # Design 4648: autom. group order 2, simple, residual B[4648]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,7,9,10,13,14],[1,3,5,8,11,13,14],[1,3,7,8,10,13,14],[1,4,5,9,12,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,11,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,7,9,12,13],[2,3,8,9,11,12,14],[2,4,5,7,10,11,14],[2,4,6,8,9,10,14],[2,4,7,8,11,12,13],[2,5,6,10,12,13,14],[2,5,7,8,9,11,13],[3,4,5,9,10,12,13],[3,4,6,9,11,13,14],[3,4,7,8,10,12,14],[3,5,6,7,8,9,10],[3,5,6,7,11,12,14],[4,5,6,8,10,11,13]]; G[4648]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 4649: autom. group order 2, simple, residual B[4649]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,7,9,10,13,14],[1,3,5,8,11,13,14],[1,3,7,8,10,13,14],[1,4,5,9,12,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,11,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,7,9,12,14],[2,3,8,9,11,12,14],[2,4,5,7,10,11,14],[2,4,6,8,9,10,13],[2,4,7,8,11,12,13],[2,5,6,10,12,13,14],[2,5,7,8,9,11,13],[3,4,5,9,10,12,13],[3,4,6,9,11,13,14],[3,4,7,8,10,12,14],[3,5,6,7,8,9,10],[3,5,6,7,11,12,13],[4,5,6,8,10,11,14]]; G[4649]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 4650: autom. group order 2, simple, residual B[4650]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,7,8,10,13,14],[1,3,5,9,11,13,14],[1,3,7,8,11,13,14],[1,4,5,9,12,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,10,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,7,9,12,13],[2,3,8,9,10,12,14],[2,4,5,7,10,11,14],[2,4,6,8,9,11,14],[2,4,7,9,11,12,13],[2,5,6,11,12,13,14],[2,5,7,8,9,10,13],[3,4,5,8,10,12,13],[3,4,6,9,10,13,14],[3,4,7,8,11,12,14],[3,5,6,7,8,9,11],[3,5,6,7,10,12,14],[4,5,6,8,10,11,13]]; G[4650]:=Group([(2,10)(3,11)(4,12)(5,9)(7,8)]); # Design 4651: autom. group order 2, simple, residual B[4651]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,7,8,10,13,14],[1,3,5,9,11,13,14],[1,3,7,8,11,13,14],[1,4,5,9,12,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,10,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,7,9,12,14],[2,3,8,9,10,12,14],[2,4,5,7,10,11,14],[2,4,6,8,9,11,13],[2,4,7,9,11,12,13],[2,5,6,11,12,13,14],[2,5,7,8,9,10,13],[3,4,5,8,10,12,13],[3,4,6,9,10,13,14],[3,4,7,8,11,12,14],[3,5,6,7,8,9,11],[3,5,6,7,10,12,13],[4,5,6,8,10,11,14]]; G[4651]:=Group([(2,10)(3,11)(4,12)(5,9)(7,8)]); # Design 4652: autom. group order 2, simple, residual B[4652]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,9,10,11],[1,2,7,9,10,12,13],[1,3,5,11,12,13,14],[1,3,7,9,11,12,13],[1,4,5,8,10,12,14],[1,4,6,7,8,11,13],[1,4,6,7,10,13,14],[1,5,7,8,9,12,14],[1,6,8,9,10,11,14],[2,3,6,7,10,12,14],[2,3,8,9,10,13,14],[2,4,5,7,9,13,14],[2,4,6,9,11,12,14],[2,4,7,8,11,12,14],[2,5,6,8,11,12,13],[2,5,7,8,10,11,13],[3,4,5,10,11,13,14],[3,4,6,8,9,12,13],[3,4,7,8,9,10,11],[3,5,6,7,8,10,12],[3,5,6,7,9,11,14],[4,5,6,9,10,12,13]]; G[4652]:=Group([(1,12)(3,11)(5,14)(7,9)]); # Design 4653: autom. group order 2, simple, residual B[4653]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,9,10,11,14],[1,3,5,10,12,13,14],[1,3,7,9,10,12,14],[1,4,5,8,9,11,12],[1,4,6,7,8,12,14],[1,4,6,7,11,13,14],[1,5,7,8,9,10,13],[1,6,8,9,11,12,13],[2,3,6,7,9,11,12],[2,3,8,9,11,13,14],[2,4,5,7,9,13,14],[2,4,6,9,10,12,13],[2,4,7,8,10,12,13],[2,5,6,8,10,12,14],[2,5,7,8,11,12,14],[3,4,5,11,12,13,14],[3,4,6,8,9,10,14],[3,4,7,8,10,11,13],[3,5,6,7,8,10,11],[3,5,6,7,9,12,13],[4,5,6,9,10,11,14]]; G[4653]:=Group([(1,10)(3,12)(5,13)(7,9)]); # Design 4654: autom. group order 2, simple B[4654]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,9,12,13],[1,3,5,11,12,13,14],[1,3,7,9,10,13,14],[1,4,5,8,9,10,14],[1,4,6,7,8,12,14],[1,4,6,7,10,11,12],[1,5,7,9,11,12,13],[1,6,8,9,10,11,14],[2,3,6,7,9,12,14],[2,3,8,9,10,11,12],[2,4,5,10,12,13,14],[2,4,6,9,11,13,14],[2,4,7,8,11,13,14],[2,5,6,7,9,10,11],[2,5,7,8,10,12,14],[3,4,5,7,9,11,14],[3,4,6,8,9,12,13],[3,4,7,8,10,11,13],[3,5,6,7,8,10,13],[3,5,6,8,11,12,14],[4,5,6,9,10,12,13]]; G[4654]:=Group([(1,13)(3,14)(5,11)(7,9)]); # Design 4655: autom. group order 2, simple, residual B[4655]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,9,12,13],[1,3,5,11,12,13,14],[1,3,7,9,12,13,14],[1,4,5,8,9,10,14],[1,4,6,7,8,12,14],[1,4,6,7,10,11,12],[1,5,7,9,10,11,13],[1,6,8,9,10,11,14],[2,3,6,7,9,10,14],[2,3,8,9,10,11,12],[2,4,5,10,12,13,14],[2,4,6,9,11,13,14],[2,4,7,8,11,13,14],[2,5,6,7,9,11,12],[2,5,7,8,10,12,14],[3,4,5,7,9,11,14],[3,4,6,8,9,12,13],[3,4,7,8,10,11,13],[3,5,6,7,8,10,13],[3,5,6,8,11,12,14],[4,5,6,9,10,12,13]]; G[4655]:=Group([(1,13)(3,14)(5,11)(7,9)]); # Design 4656: autom. group order 2, simple, residual B[4656]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,8,9,10,12],[1,3,5,9,12,13,14],[1,3,7,9,10,13,14],[1,4,5,9,11,12,14],[1,4,6,7,8,11,14],[1,4,6,7,10,12,13],[1,5,7,8,11,12,13],[1,6,8,9,10,11,14],[2,3,6,7,9,11,12],[2,3,8,10,11,12,14],[2,4,5,10,11,13,14],[2,4,6,9,12,13,14],[2,4,7,8,12,13,14],[2,5,6,7,9,10,14],[2,5,7,8,9,11,13],[3,4,5,7,8,10,14],[3,4,6,8,9,11,13],[3,4,7,9,10,11,13],[3,5,6,7,11,12,14],[3,5,6,8,10,12,13],[4,5,6,8,9,10,12]]; G[4656]:=Group([(1,14)(3,13)(5,12)(6,8)]); # Design 4657: autom. group order 2, simple, residual B[4657]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,8,9,12,13],[1,3,5,10,12,13,14],[1,3,7,9,11,13,14],[1,4,5,8,9,11,14],[1,4,6,7,8,10,12],[1,4,6,7,11,12,14],[1,5,7,9,10,12,13],[1,6,8,9,10,11,14],[2,3,6,7,9,12,14],[2,3,8,9,10,11,12],[2,4,5,11,12,13,14],[2,4,6,9,10,13,14],[2,4,7,8,10,13,14],[2,5,6,7,9,10,11],[2,5,7,8,11,12,14],[3,4,5,7,9,10,14],[3,4,6,9,11,12,13],[3,4,7,8,10,11,13],[3,5,6,7,8,11,13],[3,5,6,8,10,12,14],[4,5,6,8,9,12,13]]; G[4657]:=Group([(1,13)(3,14)(5,10)(7,9)]); # Design 4658: autom. group order 2, simple B[4658]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,8,9,12,13],[1,3,5,10,12,13,14],[1,3,7,9,12,13,14],[1,4,5,8,9,11,14],[1,4,6,7,8,10,12],[1,4,6,7,11,12,14],[1,5,7,9,10,11,13],[1,6,8,9,10,11,14],[2,3,6,7,9,11,14],[2,3,8,9,10,11,12],[2,4,5,11,12,13,14],[2,4,6,9,10,13,14],[2,4,7,8,10,13,14],[2,5,6,7,9,10,12],[2,5,7,8,11,12,14],[3,4,5,7,9,10,14],[3,4,6,9,11,12,13],[3,4,7,8,10,11,13],[3,5,6,7,8,11,13],[3,5,6,8,10,12,14],[4,5,6,8,9,12,13]]; G[4658]:=Group([(1,13)(3,14)(5,10)(7,9)]); # Design 4659: autom. group order 2, simple, residual B[4659]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,8,9,10,11],[1,3,5,9,10,12,14],[1,3,7,8,11,12,14],[1,4,5,9,11,13,14],[1,4,6,7,9,12,13],[1,4,6,7,10,12,14],[1,5,7,8,11,12,13],[1,6,8,9,10,13,14],[2,3,6,7,9,12,13],[2,3,9,11,12,13,14],[2,4,5,10,12,13,14],[2,4,6,8,11,12,14],[2,4,7,8,9,10,14],[2,5,6,7,9,11,14],[2,5,7,8,10,12,13],[3,4,5,7,8,13,14],[3,4,6,8,10,11,13],[3,4,7,9,10,11,13],[3,5,6,7,10,11,14],[3,5,6,8,9,10,12],[4,5,6,8,9,11,12]]; G[4659]:=Group([(1,11)(2,10)(5,13)(7,8)]); # Design 4660: autom. group order 2, simple, residual B[4660]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,9,11,14],[1,2,7,8,10,12,14],[1,3,5,11,12,13,14],[1,3,7,8,11,12,14],[1,4,5,9,10,12,13],[1,4,6,7,9,11,14],[1,4,6,7,10,13,14],[1,5,7,8,9,12,13],[1,6,8,9,10,11,13],[2,3,6,9,12,13,14],[2,3,7,9,10,13,14],[2,4,5,7,8,13,14],[2,4,6,8,11,12,13],[2,4,7,9,11,12,13],[2,5,6,7,10,11,12],[2,5,8,9,10,11,14],[3,4,5,10,11,13,14],[3,4,6,8,9,12,14],[3,4,7,8,9,10,11],[3,5,6,7,8,11,13],[3,5,6,7,9,10,12],[4,5,6,8,10,12,14]]; G[4660]:=Group([(1,12)(3,11)(5,13)(7,8)]); # Design 4661: autom. group order 2, simple B[4661]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,7,8,10,13,14],[1,3,5,9,11,13,14],[1,3,7,9,12,13,14],[1,4,5,8,11,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,10,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,9,12,13,14],[2,3,7,8,10,11,14],[2,4,5,9,10,12,13],[2,4,6,7,9,11,13],[2,4,8,9,11,12,14],[2,5,6,7,11,12,14],[2,5,7,8,9,10,13],[3,4,5,7,10,12,14],[3,4,6,8,9,10,14],[3,4,7,8,11,12,13],[3,5,6,7,8,9,11],[3,5,6,8,10,12,13],[4,5,6,10,11,13,14]]; G[4661]:=Group([(2,10)(3,11)(4,12)(5,9)(7,8)]); # Design 4662: autom. group order 2, simple B[4662]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,7,8,10,13,14],[1,3,5,9,11,13,14],[1,3,7,9,12,13,14],[1,4,5,8,11,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,10,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,9,12,13,14],[2,3,7,8,10,11,14],[2,4,5,9,10,12,13],[2,4,6,7,9,11,14],[2,4,8,9,11,12,14],[2,5,6,7,11,12,13],[2,5,7,8,9,10,13],[3,4,5,7,10,12,14],[3,4,6,8,9,10,13],[3,4,7,8,11,12,13],[3,5,6,7,8,9,11],[3,5,6,8,10,12,14],[4,5,6,10,11,13,14]]; G[4662]:=Group([(2,10)(3,11)(4,12)(5,9)(7,8)]); # Design 4663: autom. group order 2, simple B[4663]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,7,8,10,13,14],[1,3,5,9,11,13,14],[1,3,7,9,12,13,14],[1,4,5,8,11,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,10,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,9,12,13,14],[2,3,7,8,10,11,14],[2,4,5,9,10,12,14],[2,4,6,7,9,11,14],[2,4,8,9,11,12,13],[2,5,6,7,11,12,13],[2,5,7,8,9,10,13],[3,4,5,7,10,12,13],[3,4,6,8,9,10,13],[3,4,7,8,11,12,14],[3,5,6,7,8,9,11],[3,5,6,8,10,12,14],[4,5,6,10,11,13,14]]; G[4663]:=Group([(2,10)(3,11)(4,12)(5,9)(7,8)]); # Design 4664: autom. group order 2, simple, residual B[4664]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,7,8,10,13,14],[1,3,5,9,11,13,14],[1,3,7,8,11,13,14],[1,4,5,9,12,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,10,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,9,12,13,14],[2,3,7,9,10,12,14],[2,4,5,8,10,11,14],[2,4,6,7,9,11,13],[2,4,8,9,11,12,13],[2,5,6,7,11,12,14],[2,5,7,8,9,10,13],[3,4,5,7,10,12,13],[3,4,6,8,9,10,14],[3,4,7,8,11,12,14],[3,5,6,7,8,9,11],[3,5,6,8,10,12,13],[4,5,6,10,11,13,14]]; G[4664]:=Group([(2,10)(3,11)(4,12)(5,9)(7,8)]); # Design 4665: autom. group order 2, simple, residual B[4665]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,7,8,10,13,14],[1,3,5,9,11,13,14],[1,3,7,8,11,13,14],[1,4,5,9,12,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,10,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,9,12,13,14],[2,3,7,9,10,12,14],[2,4,5,8,10,11,14],[2,4,6,7,9,11,14],[2,4,8,9,11,12,13],[2,5,6,7,11,12,13],[2,5,7,8,9,10,13],[3,4,5,7,10,12,13],[3,4,6,8,9,10,13],[3,4,7,8,11,12,14],[3,5,6,7,8,9,11],[3,5,6,8,10,12,14],[4,5,6,10,11,13,14]]; G[4665]:=Group([(2,10)(3,11)(4,12)(5,9)(7,8)]); # Design 4666: autom. group order 2, simple, residual B[4666]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,9,10,11,14],[1,3,5,9,10,12,13],[1,3,7,8,10,12,14],[1,4,5,8,11,12,14],[1,4,6,7,9,11,12],[1,4,6,8,9,13,14],[1,5,7,9,10,13,14],[1,6,7,8,11,12,13],[2,3,6,7,9,12,13],[2,3,7,8,9,11,14],[2,4,5,7,11,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,12,13],[2,5,6,8,10,12,14],[2,5,8,9,11,12,13],[3,4,5,7,12,13,14],[3,4,6,10,11,13,14],[3,4,8,9,10,11,13],[3,5,6,7,8,10,11],[3,5,6,9,11,12,14],[4,5,6,7,8,9,10]]; G[4666]:=Group([(1,10)(2,11)(5,13)(7,14)]); # Design 4667: autom. group order 2, simple, residual B[4667]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,13,14],[1,2,7,9,11,13,14],[1,3,5,9,10,12,13],[1,3,7,8,11,12,13],[1,4,5,8,11,12,14],[1,4,6,7,9,12,14],[1,4,6,8,9,10,11],[1,5,7,9,10,11,13],[1,6,7,8,10,12,14],[2,3,6,7,9,10,12],[2,3,7,8,9,11,14],[2,4,5,7,10,11,14],[2,4,6,9,11,12,13],[2,4,7,8,10,12,13],[2,5,6,8,11,12,13],[2,5,8,9,10,12,14],[3,4,5,7,12,13,14],[3,4,6,10,11,13,14],[3,4,8,9,10,13,14],[3,5,6,7,8,10,11],[3,5,6,9,11,12,14],[4,5,6,7,8,9,13]]; G[4667]:=Group([(1,13)(2,14)(5,10)(7,11)]); # Design 4668: autom. group order 2, simple, residual B[4668]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,10,11,14],[1,3,5,9,12,13,14],[1,3,7,9,11,13,14],[1,4,5,8,10,12,14],[1,4,6,7,8,9,13],[1,4,6,9,10,11,12],[1,5,7,8,11,12,14],[1,6,7,8,10,12,13],[2,3,6,7,8,12,14],[2,3,7,8,9,10,12],[2,4,5,7,10,13,14],[2,4,6,11,12,13,14],[2,4,8,9,12,13,14],[2,5,6,7,9,11,12],[2,5,8,9,10,11,13],[3,4,5,7,11,12,13],[3,4,6,8,9,11,14],[3,4,7,8,10,11,13],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13],[4,5,6,7,9,10,14]]; G[4668]:=Group([(1,14)(3,13)(5,12)(7,11)]); # Design 4669: autom. group order 2, simple B[4669]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,10,12,13],[1,3,5,9,11,13,14],[1,3,7,9,12,13,14],[1,4,5,8,10,12,14],[1,4,6,7,8,9,14],[1,4,6,9,10,11,12],[1,5,7,8,11,12,13],[1,6,7,8,10,11,14],[2,3,6,7,8,12,14],[2,3,7,8,9,10,11],[2,4,5,7,10,13,14],[2,4,6,11,12,13,14],[2,4,8,9,11,13,14],[2,5,6,7,9,11,12],[2,5,8,9,10,12,14],[3,4,5,7,11,12,14],[3,4,6,8,9,12,13],[3,4,7,8,10,11,13],[3,5,6,8,10,12,13],[3,5,6,9,10,11,14],[4,5,6,7,9,10,13]]; G[4669]:=Group([(1,13)(3,14)(5,11)(7,12)]); # Design 4670: autom. group order 2, simple, residual B[4670]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,10,12,13],[1,3,5,9,11,13,14],[1,3,7,8,12,13,14],[1,4,5,8,10,12,14],[1,4,6,7,8,9,14],[1,4,6,9,10,11,12],[1,5,7,9,11,12,13],[1,6,7,8,10,11,14],[2,3,6,7,9,12,14],[2,3,7,8,9,10,11],[2,4,5,7,10,13,14],[2,4,6,11,12,13,14],[2,4,8,9,11,13,14],[2,5,6,7,8,11,12],[2,5,8,9,10,12,14],[3,4,5,7,11,12,14],[3,4,6,8,9,12,13],[3,4,7,8,10,11,13],[3,5,6,8,10,12,13],[3,5,6,9,10,11,14],[4,5,6,7,9,10,13]]; G[4670]:=Group([(1,13)(3,14)(5,11)(7,12)]); # Design 4671: autom. group order 2, simple, residual B[4671]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,9,10,12,13],[1,3,5,9,11,13,14],[1,3,7,9,12,13,14],[1,4,5,8,10,12,14],[1,4,6,7,9,10,14],[1,4,6,8,9,11,12],[1,5,7,8,11,12,13],[1,6,7,8,10,11,14],[2,3,6,7,8,12,14],[2,3,7,8,9,10,11],[2,4,5,7,10,13,14],[2,4,6,11,12,13,14],[2,4,8,9,11,13,14],[2,5,6,7,9,11,12],[2,5,8,9,10,12,14],[3,4,5,7,11,12,14],[3,4,6,9,10,12,13],[3,4,7,8,10,11,13],[3,5,6,8,10,12,13],[3,5,6,9,10,11,14],[4,5,6,7,8,9,13]]; G[4671]:=Group([(1,13)(3,14)(5,11)(7,12)]); # Design 4672: autom. group order 2, simple, residual B[4672]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,9,10,11,14],[1,3,5,9,10,12,13],[1,3,7,8,10,12,14],[1,4,5,8,11,12,14],[1,4,6,7,9,11,12],[1,4,6,8,9,13,14],[1,5,7,9,10,13,14],[1,6,7,8,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,7,11,13,14],[2,4,6,10,12,13,14],[2,4,8,9,10,12,13],[2,5,6,7,8,10,12],[2,5,8,9,11,12,14],[3,4,5,7,12,13,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,13],[3,5,6,8,10,11,14],[3,5,6,9,11,12,13],[4,5,6,7,8,9,10]]; G[4672]:=Group([(1,10)(3,12)(5,13)(7,14)]); # Design 4673: autom. group order 2, simple B[4673]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,9,10,12,13],[1,3,5,9,11,13,14],[1,3,7,8,12,13,14],[1,4,5,8,10,12,14],[1,4,6,7,9,10,14],[1,4,6,8,9,11,12],[1,5,7,9,11,12,13],[1,6,7,8,10,11,14],[2,3,6,7,9,12,14],[2,3,7,8,9,10,11],[2,4,5,7,10,13,14],[2,4,6,11,12,13,14],[2,4,8,9,11,13,14],[2,5,6,7,8,11,12],[2,5,8,9,10,12,14],[3,4,5,7,11,12,14],[3,4,6,9,10,12,13],[3,4,7,8,10,11,13],[3,5,6,8,10,12,13],[3,5,6,9,10,11,14],[4,5,6,7,8,9,13]]; G[4673]:=Group([(1,13)(3,14)(5,11)(7,12)]); # Design 4674: autom. group order 2, simple, residual B[4674]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,11,13,14],[1,3,5,9,11,12,14],[1,3,7,8,9,10,11],[1,4,5,8,12,13,14],[1,4,6,7,11,12,14],[1,4,6,9,10,12,13],[1,5,7,8,10,13,14],[1,6,7,8,9,10,12],[2,3,6,7,8,12,13],[2,3,7,9,12,13,14],[2,4,5,7,9,10,14],[2,4,6,8,9,10,14],[2,4,8,9,11,12,13],[2,5,6,10,11,12,14],[2,5,7,8,10,11,12],[3,4,5,7,10,12,13],[3,4,6,7,8,11,14],[3,4,8,10,11,13,14],[3,5,6,8,9,12,14],[3,5,6,9,10,11,13],[4,5,6,7,9,11,13]]; G[4674]:=Group([(1,11)(3,12)(4,10)(6,8)(9,14)]); # Design 4675: autom. group order 2, simple B[4675]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,11,13,14],[1,2,7,9,12,13,14],[1,3,5,11,12,13,14],[1,3,7,8,9,10,14],[1,4,5,9,10,12,14],[1,4,6,7,8,11,14],[1,4,6,9,10,12,13],[1,5,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,7,9,11,12],[2,3,8,9,11,12,14],[2,4,5,7,10,11,14],[2,4,6,8,9,13,14],[2,4,7,9,10,11,13],[2,5,6,8,10,12,14],[2,5,7,8,10,12,13],[3,4,5,7,8,12,13],[3,4,6,7,12,13,14],[3,4,8,10,11,13,14],[3,5,6,7,9,10,14],[3,5,6,9,10,11,13],[4,5,6,8,9,11,12]]; G[4675]:=Group([(1,11)(2,4)(3,10)(5,7)(6,14)(8,13)]); # Design 4676: autom. group order 2, simple B[4676]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,11,13,14],[1,2,7,9,12,13,14],[1,3,5,11,12,13,14],[1,3,7,8,9,10,14],[1,4,5,9,10,12,14],[1,4,6,7,8,11,14],[1,4,6,9,10,12,13],[1,5,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,7,9,11,12],[2,3,8,9,11,12,14],[2,4,5,7,10,11,14],[2,4,6,8,12,13,14],[2,4,7,9,10,11,13],[2,5,6,8,9,10,14],[2,5,7,8,10,12,13],[3,4,5,7,8,12,13],[3,4,6,7,9,13,14],[3,4,8,10,11,13,14],[3,5,6,7,10,12,14],[3,5,6,9,10,11,13],[4,5,6,8,9,11,12]]; G[4676]:=Group([(1,11)(2,4)(3,10)(5,7)(6,14)(8,13)]); # Design 4677: autom. group order 2, simple B[4677]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,10,12,13],[1,3,5,9,11,13,14],[1,3,7,9,12,13,14],[1,4,5,8,10,12,14],[1,4,6,7,9,10,11],[1,4,6,8,9,12,14],[1,5,7,8,11,12,13],[1,6,7,8,10,11,14],[2,3,6,7,8,12,14],[2,3,8,9,10,11,12],[2,4,5,7,10,13,14],[2,4,6,11,12,13,14],[2,4,8,9,11,13,14],[2,5,6,7,9,11,12],[2,5,7,8,9,10,14],[3,4,5,7,11,12,14],[3,4,6,7,8,9,13],[3,4,7,8,10,11,13],[3,5,6,8,10,12,13],[3,5,6,9,10,11,14],[4,5,6,9,10,12,13]]; G[4677]:=Group([(1,13)(3,14)(5,11)(7,12)]); # Design 4678: autom. group order 2, simple, residual B[4678]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,10,12,13],[1,3,5,9,11,13,14],[1,3,7,8,12,13,14],[1,4,5,8,10,12,14],[1,4,6,7,9,10,11],[1,4,6,8,9,12,14],[1,5,7,9,11,12,13],[1,6,7,8,10,11,14],[2,3,6,7,9,12,14],[2,3,8,9,10,11,12],[2,4,5,7,10,13,14],[2,4,6,11,12,13,14],[2,4,8,9,11,13,14],[2,5,6,7,8,11,12],[2,5,7,8,9,10,14],[3,4,5,7,11,12,14],[3,4,6,7,8,9,13],[3,4,7,8,10,11,13],[3,5,6,8,10,12,13],[3,5,6,9,10,11,14],[4,5,6,9,10,12,13]]; G[4678]:=Group([(1,13)(3,14)(5,11)(7,12)]); # Design 4679: autom. group order 2, simple, residual B[4679]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,9,10,12,13],[1,3,5,9,11,13,14],[1,3,7,9,12,13,14],[1,4,5,8,10,12,14],[1,4,6,7,8,9,11],[1,4,6,9,10,12,14],[1,5,7,8,11,12,13],[1,6,7,8,10,11,14],[2,3,6,7,8,12,14],[2,3,8,9,10,11,12],[2,4,5,7,10,13,14],[2,4,6,11,12,13,14],[2,4,8,9,11,13,14],[2,5,6,7,9,11,12],[2,5,7,8,9,10,14],[3,4,5,7,11,12,14],[3,4,6,7,9,10,13],[3,4,7,8,10,11,13],[3,5,6,8,10,12,13],[3,5,6,9,10,11,14],[4,5,6,8,9,12,13]]; G[4679]:=Group([(1,13)(3,14)(5,11)(7,12)]); # Design 4680: autom. group order 2, simple, residual B[4680]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,9,10,11,14],[1,3,5,9,10,12,13],[1,3,7,8,10,12,14],[1,4,5,8,11,12,14],[1,4,6,7,8,9,13],[1,4,6,9,11,12,14],[1,5,7,9,10,13,14],[1,6,7,8,11,12,13],[2,3,6,7,9,12,14],[2,3,8,9,11,13,14],[2,4,5,7,11,13,14],[2,4,6,10,12,13,14],[2,4,8,9,10,12,13],[2,5,6,7,8,10,12],[2,5,7,8,9,11,12],[3,4,5,7,12,13,14],[3,4,6,7,9,10,11],[3,4,7,8,10,11,13],[3,5,6,8,10,11,14],[3,5,6,9,11,12,13],[4,5,6,8,9,10,14]]; G[4680]:=Group([(1,10)(3,12)(5,13)(7,14)]); # Design 4681: autom. group order 2, simple B[4681]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,9,10,12,13],[1,3,5,9,11,13,14],[1,3,7,8,12,13,14],[1,4,5,8,10,12,14],[1,4,6,7,8,9,11],[1,4,6,9,10,12,14],[1,5,7,9,11,12,13],[1,6,7,8,10,11,14],[2,3,6,7,9,12,14],[2,3,8,9,10,11,12],[2,4,5,7,10,13,14],[2,4,6,11,12,13,14],[2,4,8,9,11,13,14],[2,5,6,7,8,11,12],[2,5,7,8,9,10,14],[3,4,5,7,11,12,14],[3,4,6,7,9,10,13],[3,4,7,8,10,11,13],[3,5,6,8,10,12,13],[3,5,6,9,10,11,14],[4,5,6,8,9,12,13]]; G[4681]:=Group([(1,13)(3,14)(5,11)(7,12)]); # Design 4682: autom. group order 2, simple, residual B[4682]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,9,10,11,14],[1,3,5,9,10,12,13],[1,3,7,8,10,12,14],[1,4,5,8,11,12,14],[1,4,6,7,8,9,13],[1,4,6,9,11,12,14],[1,5,7,9,10,13,14],[1,6,7,8,11,12,13],[2,3,6,9,12,13,14],[2,3,7,8,9,11,14],[2,4,5,7,11,13,14],[2,4,6,7,9,10,12],[2,4,7,8,10,12,13],[2,5,6,8,10,12,14],[2,5,8,9,11,12,13],[3,4,5,7,12,13,14],[3,4,6,10,11,13,14],[3,4,8,9,10,11,13],[3,5,6,7,8,10,11],[3,5,6,7,9,11,12],[4,5,6,8,9,10,14]]; G[4682]:=Group([(1,10)(2,11)(5,13)(7,14)]); # Design 4683: autom. group order 2, simple, residual B[4683]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,8,9,10,13],[1,3,5,9,10,12,14],[1,3,7,8,11,12,14],[1,4,5,10,12,13,14],[1,4,6,7,9,11,14],[1,4,6,8,9,11,12],[1,5,7,9,11,13,14],[1,6,7,8,10,12,13],[2,3,6,9,12,13,14],[2,3,7,9,11,12,13],[2,4,5,7,11,12,13],[2,4,6,7,9,10,14],[2,4,7,8,10,12,14],[2,5,6,8,11,12,14],[2,5,8,9,10,11,14],[3,4,5,7,8,13,14],[3,4,6,10,11,13,14],[3,4,8,9,10,11,13],[3,5,6,7,8,10,11],[3,5,6,7,9,10,12],[4,5,6,8,9,12,13]]; G[4683]:=Group([(1,11)(2,10)(5,13)(7,14)]); # Design 4684: autom. group order 2, simple B[4684]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,11,13,14],[1,3,5,9,11,12,14],[1,3,7,8,10,12,14],[1,4,5,8,12,13,14],[1,4,6,7,8,10,11],[1,4,6,9,10,12,13],[1,5,7,9,10,12,13],[1,6,7,8,9,11,14],[2,3,6,8,9,12,14],[2,3,7,8,9,10,13],[2,4,5,7,9,10,14],[2,4,6,7,12,13,14],[2,4,8,9,11,12,13],[2,5,6,10,11,12,14],[2,5,7,8,10,11,12],[3,4,5,7,11,13,14],[3,4,6,7,9,11,12],[3,4,8,10,11,13,14],[3,5,6,7,8,12,13],[3,5,6,9,10,11,13],[4,5,6,8,9,10,14]]; G[4684]:=Group([(1,11)(3,12)(4,10)(6,8)(9,14)]); # Design 4685: autom. group order 2, simple B[4685]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,10,13,14],[1,3,5,9,11,12,14],[1,3,7,8,9,10,11],[1,4,5,8,12,13,14],[1,4,6,7,11,12,14],[1,4,6,9,10,12,13],[1,5,7,9,10,12,13],[1,6,7,8,9,11,14],[2,3,6,8,9,12,14],[2,3,7,9,12,13,14],[2,4,5,7,9,10,14],[2,4,6,7,9,11,13],[2,4,8,9,11,12,13],[2,5,6,10,11,12,14],[2,5,7,8,10,11,12],[3,4,5,7,11,13,14],[3,4,6,7,8,10,12],[3,4,8,10,11,13,14],[3,5,6,7,8,12,13],[3,5,6,9,10,11,13],[4,5,6,8,9,10,14]]; G[4685]:=Group([(1,11)(3,12)(4,10)(6,8)(9,14)]); # Design 4686: autom. group order 2, simple, residual B[4686]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,10,13,14],[1,3,5,9,11,12,14],[1,3,7,8,9,10,11],[1,4,5,8,12,13,14],[1,4,6,7,11,12,14],[1,4,6,9,10,12,13],[1,5,7,9,11,13,14],[1,6,7,8,9,10,12],[2,3,6,8,9,12,14],[2,3,7,9,12,13,14],[2,4,5,7,9,10,14],[2,4,6,7,9,11,13],[2,4,8,9,11,12,13],[2,5,6,10,11,12,14],[2,5,7,8,10,11,12],[3,4,5,7,10,12,13],[3,4,6,7,8,11,14],[3,4,8,10,11,13,14],[3,5,6,7,8,12,13],[3,5,6,9,10,11,13],[4,5,6,8,9,10,14]]; G[4686]:=Group([(1,11)(3,12)(4,10)(6,8)(9,14)]); # Design 4687: autom. group order 2, simple, residual B[4687]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,9,10,14],[1,3,5,9,11,12,14],[1,3,7,9,11,12,13],[1,4,5,10,12,13,14],[1,4,6,7,11,13,14],[1,4,6,8,9,10,12],[1,5,7,8,10,11,14],[1,6,7,8,9,12,13],[2,3,6,8,12,13,14],[2,3,7,9,10,11,13],[2,4,5,7,9,13,14],[2,4,6,9,11,12,14],[2,4,7,8,11,12,14],[2,5,6,7,9,10,12],[2,5,8,10,11,12,13],[3,4,5,7,8,12,13],[3,4,6,7,8,10,11],[3,4,8,9,10,13,14],[3,5,6,7,10,12,14],[3,5,6,8,9,11,14],[4,5,6,9,10,11,13]]; G[4687]:=Group([(1,12)(3,11)(5,14)(6,8)]); # Design 4688: autom. group order 2, simple, residual B[4688]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,9,11,14],[1,2,7,9,10,13,14],[1,3,5,11,12,13,14],[1,3,7,8,11,12,14],[1,4,5,10,12,13,14],[1,4,6,7,10,11,13],[1,4,6,8,9,12,14],[1,5,7,8,9,11,13],[1,6,7,8,9,10,12],[2,3,6,9,12,13,14],[2,3,7,8,10,11,14],[2,4,5,7,8,13,14],[2,4,6,8,11,12,13],[2,4,7,9,11,12,13],[2,5,6,7,10,12,14],[2,5,8,9,10,11,12],[3,4,5,7,9,10,12],[3,4,6,7,9,11,14],[3,4,8,9,10,13,14],[3,5,6,7,8,12,13],[3,5,6,9,10,11,13],[4,5,6,8,10,11,14]]; G[4688]:=Group([(1,12)(3,11)(5,13)(6,9)]); # Design 4689: autom. group order 2, simple, residual B[4689]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,7,9,10,13,14],[1,3,5,8,11,13,14],[1,3,8,9,12,13,14],[1,4,5,7,10,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,11,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,7,9,12,13],[2,3,7,8,10,11,14],[2,4,5,9,11,12,13],[2,4,6,8,9,10,14],[2,4,7,8,11,12,14],[2,5,6,9,11,13,14],[2,5,7,8,10,12,13],[3,4,5,9,10,12,14],[3,4,6,10,12,13,14],[3,4,7,8,9,11,13],[3,5,6,7,8,9,10],[3,5,6,7,11,12,14],[4,5,6,8,10,11,13]]; G[4689]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 4690: autom. group order 2, simple, residual B[4690]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,7,9,10,13,14],[1,3,5,8,11,13,14],[1,3,8,9,12,13,14],[1,4,5,7,10,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,11,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,7,9,12,14],[2,3,7,8,10,11,14],[2,4,5,9,11,12,13],[2,4,6,8,9,10,13],[2,4,7,8,11,12,14],[2,5,6,9,11,13,14],[2,5,7,8,10,12,13],[3,4,5,9,10,12,14],[3,4,6,10,12,13,14],[3,4,7,8,9,11,13],[3,5,6,7,8,9,10],[3,5,6,7,11,12,13],[4,5,6,8,10,11,14]]; G[4690]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 4691: autom. group order 2, simple, residual B[4691]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,7,9,10,13,14],[1,3,5,8,11,13,14],[1,3,8,9,12,13,14],[1,4,5,7,10,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,11,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,7,9,12,13],[2,3,7,8,10,11,14],[2,4,5,9,11,12,13],[2,4,6,8,9,10,14],[2,4,7,8,11,12,14],[2,5,6,10,12,13,14],[2,5,7,8,9,11,13],[3,4,5,9,10,12,14],[3,4,6,9,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,8,9,10],[3,5,6,7,11,12,14],[4,5,6,8,10,11,13]]; G[4691]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 4692: autom. group order 2, simple, residual B[4692]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,7,9,10,13,14],[1,3,5,8,11,13,14],[1,3,8,9,12,13,14],[1,4,5,7,10,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,11,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,7,9,12,14],[2,3,7,8,10,11,14],[2,4,5,9,11,12,13],[2,4,6,8,9,10,13],[2,4,7,8,11,12,14],[2,5,6,10,12,13,14],[2,5,7,8,9,11,13],[3,4,5,9,10,12,14],[3,4,6,9,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,8,9,10],[3,5,6,7,11,12,13],[4,5,6,8,10,11,14]]; G[4692]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 4693: autom. group order 2, simple B[4693]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,7,8,10,13,14],[1,3,5,9,11,13,14],[1,3,8,9,12,13,14],[1,4,5,7,11,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,10,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,7,9,12,13],[2,3,7,8,10,11,14],[2,4,5,9,10,12,13],[2,4,6,8,9,11,14],[2,4,7,9,11,12,14],[2,5,6,9,10,13,14],[2,5,7,8,11,12,13],[3,4,5,8,10,12,14],[3,4,6,11,12,13,14],[3,4,7,8,9,10,13],[3,5,6,7,8,9,11],[3,5,6,7,10,12,14],[4,5,6,8,10,11,13]]; G[4693]:=Group([(2,10)(3,11)(4,12)(5,9)(7,8)]); # Design 4694: autom. group order 2, simple B[4694]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,7,8,10,13,14],[1,3,5,9,11,13,14],[1,3,8,9,12,13,14],[1,4,5,7,11,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,10,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,7,9,12,14],[2,3,7,8,10,11,14],[2,4,5,9,10,12,13],[2,4,6,8,9,11,13],[2,4,7,9,11,12,14],[2,5,6,9,10,13,14],[2,5,7,8,11,12,13],[3,4,5,8,10,12,14],[3,4,6,11,12,13,14],[3,4,7,8,9,10,13],[3,5,6,7,8,9,11],[3,5,6,7,10,12,13],[4,5,6,8,10,11,14]]; G[4694]:=Group([(2,10)(3,11)(4,12)(5,9)(7,8)]); # Design 4695: autom. group order 2, simple B[4695]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,7,8,10,13,14],[1,3,5,9,11,13,14],[1,3,8,9,12,13,14],[1,4,5,7,11,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,10,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,7,9,12,13],[2,3,7,8,10,11,14],[2,4,5,9,10,12,13],[2,4,6,8,9,11,14],[2,4,7,9,11,12,14],[2,5,6,11,12,13,14],[2,5,7,8,9,10,13],[3,4,5,8,10,12,14],[3,4,6,9,10,13,14],[3,4,7,8,11,12,13],[3,5,6,7,8,9,11],[3,5,6,7,10,12,14],[4,5,6,8,10,11,13]]; G[4695]:=Group([(2,10)(3,11)(4,12)(5,9)(7,8)]); # Design 4696: autom. group order 2, simple B[4696]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,7,8,10,13,14],[1,3,5,9,11,13,14],[1,3,8,9,12,13,14],[1,4,5,7,11,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,10,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,7,9,12,14],[2,3,7,8,10,11,14],[2,4,5,9,10,12,13],[2,4,6,8,9,11,13],[2,4,7,9,11,12,14],[2,5,6,11,12,13,14],[2,5,7,8,9,10,13],[3,4,5,8,10,12,14],[3,4,6,9,10,13,14],[3,4,7,8,11,12,13],[3,5,6,7,8,9,11],[3,5,6,7,10,12,13],[4,5,6,8,10,11,14]]; G[4696]:=Group([(2,10)(3,11)(4,12)(5,9)(7,8)]); # Design 4697: autom. group order 2, simple B[4697]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,10,12,13],[1,3,5,9,11,12,14],[1,3,8,9,11,13,14],[1,4,5,7,12,13,14],[1,4,6,7,10,11,14],[1,4,6,8,9,10,12],[1,5,7,8,10,11,14],[1,6,7,8,9,12,13],[2,3,6,7,8,12,14],[2,3,7,9,10,11,13],[2,4,5,7,9,13,14],[2,4,6,9,11,12,14],[2,4,8,11,12,13,14],[2,5,6,8,9,10,14],[2,5,7,8,10,11,12],[3,4,5,8,10,12,13],[3,4,6,7,8,11,13],[3,4,7,8,9,10,14],[3,5,6,7,9,11,12],[3,5,6,10,12,13,14],[4,5,6,9,10,11,13]]; G[4697]:=Group([(1,12)(3,11)(5,14)(6,8)(7,13)]); # Design 4698: autom. group order 2, simple B[4698]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,10,12,13],[1,3,5,9,11,12,14],[1,3,8,9,11,13,14],[1,4,5,7,12,13,14],[1,4,6,7,10,11,14],[1,4,6,8,9,10,12],[1,5,7,8,10,11,14],[1,6,7,8,9,12,13],[2,3,6,7,8,12,14],[2,3,7,8,9,10,14],[2,4,5,7,9,13,14],[2,4,6,9,11,12,14],[2,4,8,11,12,13,14],[2,5,6,9,10,11,13],[2,5,7,8,10,11,12],[3,4,5,8,10,12,13],[3,4,6,7,8,11,13],[3,4,7,9,10,11,13],[3,5,6,7,9,11,12],[3,5,6,10,12,13,14],[4,5,6,8,9,10,14]]; G[4698]:=Group([(1,12)(3,11)(5,14)(6,8)(7,13)]); # Design 4699: autom. group order 2, simple, residual B[4699]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,8,9,10,13,14],[1,3,5,7,11,13,14],[1,3,7,9,12,13,14],[1,4,5,8,10,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,11,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,9,12,13,14],[2,3,7,8,10,11,14],[2,4,5,9,11,12,13],[2,4,6,7,9,10,14],[2,4,7,8,11,12,14],[2,5,6,7,10,12,13],[2,5,7,8,9,11,13],[3,4,5,9,10,12,14],[3,4,6,8,9,11,13],[3,4,7,8,10,12,13],[3,5,6,7,8,9,10],[3,5,6,8,11,12,14],[4,5,6,10,11,13,14]]; G[4699]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 4700: autom. group order 2, simple, residual B[4700]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,8,9,10,13,14],[1,3,5,7,11,13,14],[1,3,7,9,12,13,14],[1,4,5,8,10,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,11,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,9,12,13,14],[2,3,7,8,10,11,14],[2,4,5,9,11,12,14],[2,4,6,7,9,10,14],[2,4,7,8,11,12,13],[2,5,6,7,10,12,13],[2,5,7,8,9,11,13],[3,4,5,9,10,12,13],[3,4,6,8,9,11,13],[3,4,7,8,10,12,14],[3,5,6,7,8,9,10],[3,5,6,8,11,12,14],[4,5,6,10,11,13,14]]; G[4700]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 4701: autom. group order 2, simple, residual B[4701]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,8,9,10,13,14],[1,3,5,7,11,13,14],[1,3,7,8,10,13,14],[1,4,5,9,12,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,11,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,9,12,13,14],[2,3,7,9,11,12,14],[2,4,5,8,10,11,14],[2,4,6,7,9,10,13],[2,4,7,8,11,12,13],[2,5,6,7,10,12,14],[2,5,7,8,9,11,13],[3,4,5,9,10,12,13],[3,4,6,8,9,11,14],[3,4,7,8,10,12,14],[3,5,6,7,8,9,10],[3,5,6,8,11,12,13],[4,5,6,10,11,13,14]]; G[4701]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 4702: autom. group order 2, simple, residual B[4702]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,8,9,10,13,14],[1,3,5,7,11,13,14],[1,3,7,8,10,13,14],[1,4,5,9,12,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,11,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,9,12,13,14],[2,3,7,9,11,12,14],[2,4,5,8,10,11,14],[2,4,6,7,9,10,14],[2,4,7,8,11,12,13],[2,5,6,7,10,12,13],[2,5,7,8,9,11,13],[3,4,5,9,10,12,13],[3,4,6,8,9,11,13],[3,4,7,8,10,12,14],[3,5,6,7,8,9,10],[3,5,6,8,11,12,14],[4,5,6,10,11,13,14]]; G[4702]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 4703: autom. group order 2, simple, residual B[4703]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,8,9,10,11,14],[1,3,5,7,9,10,12],[1,3,7,8,11,12,14],[1,4,5,11,12,13,14],[1,4,6,7,9,10,14],[1,4,6,8,9,12,13],[1,5,7,9,11,13,14],[1,6,7,8,10,12,13],[2,3,6,9,12,13,14],[2,3,7,9,11,12,13],[2,4,5,10,12,13,14],[2,4,6,7,9,11,14],[2,4,7,8,10,12,14],[2,5,6,7,8,11,12],[2,5,7,8,9,10,13],[3,4,5,7,8,13,14],[3,4,6,7,10,11,13],[3,4,8,9,10,11,13],[3,5,6,8,10,11,14],[3,5,6,9,10,12,14],[4,5,6,8,9,11,12]]; G[4703]:=Group([(1,11)(2,10)(5,13)]); # Design 4704: autom. group order 2, simple, residual B[4704]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,11,12,13],[1,2,8,9,10,11,13],[1,3,5,8,9,12,14],[1,3,7,8,10,11,14],[1,4,5,7,12,13,14],[1,4,6,7,8,11,14],[1,4,6,7,9,10,13],[1,5,7,9,10,11,12],[1,6,8,9,12,13,14],[2,3,6,7,8,9,12],[2,3,7,9,11,13,14],[2,4,5,8,11,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,12,14],[2,5,6,7,9,11,14],[2,5,7,8,10,12,13],[3,4,5,9,10,13,14],[3,4,6,8,11,12,13],[3,4,7,9,11,12,13],[3,5,6,7,8,10,13],[3,5,6,10,11,12,14],[4,5,6,8,9,10,11]]; G[4704]:=Group([(1,11)(2,12)(5,13)(7,8)]); # Design 4705: autom. group order 2, simple, residual B[4705]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,9,10,11,12,14],[1,3,5,10,12,13,14],[1,3,7,8,9,10,14],[1,4,5,7,8,11,12],[1,4,6,7,9,11,14],[1,4,6,7,12,13,14],[1,5,7,8,9,10,13],[1,6,8,9,11,12,13],[2,3,6,7,9,12,13],[2,3,7,8,11,12,14],[2,4,5,9,11,13,14],[2,4,6,8,9,10,14],[2,4,7,8,10,12,13],[2,5,6,7,9,10,12],[2,5,7,8,11,13,14],[3,4,5,9,12,13,14],[3,4,6,8,10,11,13],[3,4,7,9,10,11,13],[3,5,6,7,10,11,14],[3,5,6,8,9,11,12],[4,5,6,8,10,12,14]]; G[4705]:=Group([(1,10)(2,11)(5,13)(7,8)]); # Design 4706: autom. group order 2, simple, residual B[4706]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,8,9,10,13,14],[1,3,5,9,11,12,14],[1,3,7,9,11,12,13],[1,4,5,7,12,13,14],[1,4,6,7,10,11,14],[1,4,6,8,9,10,12],[1,5,7,8,10,11,14],[1,6,7,8,9,12,13],[2,3,6,7,8,12,14],[2,3,7,9,10,11,13],[2,4,5,7,9,13,14],[2,4,6,9,11,12,14],[2,4,8,11,12,13,14],[2,5,6,7,9,10,12],[2,5,7,8,10,11,12],[3,4,5,8,10,12,13],[3,4,6,7,8,11,13],[3,4,7,8,9,10,14],[3,5,6,8,9,11,14],[3,5,6,10,12,13,14],[4,5,6,9,10,11,13]]; G[4706]:=Group([(1,12)(3,11)(5,14)(6,8)(7,13)]); # Design 4707: autom. group order 2, simple, residual B[4707]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,8,9,10,13,14],[1,3,5,9,10,12,14],[1,3,7,8,11,12,14],[1,4,5,7,10,12,13],[1,4,6,7,9,11,14],[1,4,6,8,9,11,12],[1,5,7,9,11,13,14],[1,6,7,8,10,12,13],[2,3,6,7,9,12,13],[2,3,7,9,11,12,13],[2,4,5,11,12,13,14],[2,4,6,7,9,10,14],[2,4,7,8,10,12,14],[2,5,6,8,11,12,14],[2,5,7,8,9,10,11],[3,4,5,7,8,13,14],[3,4,6,10,11,13,14],[3,4,8,9,10,11,13],[3,5,6,7,8,10,11],[3,5,6,9,10,12,14],[4,5,6,8,9,12,13]]; G[4707]:=Group([(1,11)(2,10)(5,13)(7,14)]); # Design 4708: autom. group order 2, simple B[4708]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,7,12,14],[1,2,7,8,10,13,14],[1,3,5,9,11,13,14],[1,3,7,9,12,13,14],[1,4,5,8,11,13,14],[1,4,6,7,8,12,13],[1,4,6,8,9,10,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,8,10,11,14],[2,4,5,9,10,12,13],[2,4,7,8,9,11,13],[2,4,7,9,11,12,14],[2,5,6,8,11,12,14],[2,5,6,9,10,13,14],[3,4,5,8,10,12,14],[3,4,6,7,9,10,14],[3,4,6,11,12,13,14],[3,5,6,7,8,9,11],[3,5,7,8,10,12,13],[4,5,6,7,10,11,13]]; G[4708]:=Group([(2,10)(3,11)(4,12)(5,9)(7,8)]); # Design 4709: autom. group order 2, simple B[4709]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,7,12,14],[1,2,7,8,10,13,14],[1,3,5,9,11,13,14],[1,3,7,9,12,13,14],[1,4,5,8,11,13,14],[1,4,6,7,8,12,13],[1,4,6,8,9,10,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,9,12,14],[2,3,7,8,10,11,14],[2,4,5,9,10,12,13],[2,4,7,8,9,11,13],[2,4,7,9,11,12,14],[2,5,6,8,11,12,13],[2,5,6,9,10,13,14],[3,4,5,8,10,12,14],[3,4,6,7,9,10,13],[3,4,6,11,12,13,14],[3,5,6,7,8,9,11],[3,5,7,8,10,12,13],[4,5,6,7,10,11,14]]; G[4709]:=Group([(2,10)(3,11)(4,12)(5,9)(7,8)]); # Design 4710: autom. group order 2, simple, residual B[4710]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,7,12,14],[1,2,7,8,10,13,14],[1,3,5,9,11,13,14],[1,3,7,8,12,13,14],[1,4,5,9,10,13,14],[1,4,6,7,9,12,13],[1,4,6,8,9,11,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,9,12,14],[2,3,7,9,10,11,14],[2,4,5,8,11,12,13],[2,4,7,8,9,10,13],[2,4,7,9,11,12,14],[2,5,6,8,11,13,14],[2,5,6,9,10,12,13],[3,4,5,8,10,12,14],[3,4,6,7,8,11,13],[3,4,6,10,12,13,14],[3,5,6,7,8,9,10],[3,5,7,9,11,12,13],[4,5,6,7,10,11,14]]; G[4710]:=Group([(2,11)(3,10)(4,12)(5,8)(7,9)]); # Design 4711: autom. group order 2, simple B[4711]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,12,13,14],[1,2,7,8,10,13,14],[1,3,5,8,9,11,14],[1,3,7,8,9,12,13],[1,4,5,7,11,13,14],[1,4,6,7,8,12,14],[1,4,6,8,9,10,13],[1,5,9,10,11,12,14],[1,6,7,9,10,11,12],[2,3,6,7,9,12,14],[2,3,7,8,10,11,14],[2,4,5,7,9,10,12],[2,4,7,9,11,13,14],[2,4,8,9,11,12,13],[2,5,6,8,9,10,14],[2,5,6,8,11,12,13],[3,4,5,10,12,13,14],[3,4,6,8,11,12,14],[3,4,6,9,10,13,14],[3,5,6,7,9,11,13],[3,5,7,8,10,12,13],[4,5,6,7,8,10,11]]; G[4711]:=Group([(2,10)(3,11)(4,12)(5,9)(8,14)]); # Design 4712: autom. group order 2, simple B[4712]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,12,13,14],[1,2,7,8,10,13,14],[1,3,5,8,9,11,14],[1,3,7,8,9,12,13],[1,4,5,7,11,13,14],[1,4,6,7,8,12,14],[1,4,6,8,9,10,13],[1,5,9,10,11,12,14],[1,6,7,9,10,11,12],[2,3,6,9,12,13,14],[2,3,7,8,10,11,14],[2,4,5,7,9,10,12],[2,4,7,9,11,13,14],[2,4,8,9,11,12,13],[2,5,6,7,8,11,12],[2,5,6,8,9,10,14],[3,4,5,10,12,13,14],[3,4,6,7,9,10,14],[3,4,6,8,11,12,14],[3,5,6,7,9,11,13],[3,5,7,8,10,12,13],[4,5,6,8,10,11,13]]; G[4712]:=Group([(2,10)(3,11)(4,12)(5,9)(8,14)]); # Design 4713: autom. group order 2, simple, residual B[4713]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,12,13,14],[1,2,7,8,10,13,14],[1,3,5,8,9,11,14],[1,3,7,8,11,13,14],[1,4,5,7,9,12,13],[1,4,6,7,8,12,14],[1,4,6,8,9,10,13],[1,5,9,10,11,12,14],[1,6,7,9,10,11,12],[2,3,6,9,12,13,14],[2,3,7,8,9,10,12],[2,4,5,7,10,11,14],[2,4,7,9,11,13,14],[2,4,8,9,11,12,13],[2,5,6,7,8,11,12],[2,5,6,8,9,10,14],[3,4,5,10,12,13,14],[3,4,6,7,9,10,14],[3,4,6,8,11,12,14],[3,5,6,7,9,11,13],[3,5,7,8,10,12,13],[4,5,6,8,10,11,13]]; G[4713]:=Group([(2,10)(3,11)(4,12)(5,9)(8,14)]); # Design 4714: autom. group order 2, simple, residual B[4714]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,7,10,11],[1,2,8,9,10,13,14],[1,3,5,11,12,13,14],[1,3,7,9,11,12,13],[1,4,5,10,12,13,14],[1,4,6,7,8,12,13],[1,4,6,9,10,11,14],[1,5,7,8,9,11,14],[1,6,7,8,9,10,12],[2,3,7,8,10,12,14],[2,3,7,9,10,11,13],[2,4,5,7,9,13,14],[2,4,6,9,11,12,14],[2,4,7,8,11,12,14],[2,5,6,8,11,12,13],[2,5,6,9,10,12,13],[3,4,5,8,9,10,12],[3,4,6,7,10,13,14],[3,4,6,8,9,11,13],[3,5,6,7,9,12,14],[3,5,6,8,10,11,14],[4,5,7,8,10,11,13]]; G[4714]:=Group([(1,12)(3,11)(5,14)(6,8)]); # Design 4715: autom. group order 2, simple B[4715]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,9,10,12,13],[1,3,5,7,11,12,14],[1,3,7,8,11,13,14],[1,4,5,9,12,13,14],[1,4,6,7,8,10,12],[1,4,6,9,10,11,14],[1,5,8,9,10,11,14],[1,6,7,8,9,12,13],[2,3,7,9,10,11,13],[2,3,8,9,10,12,14],[2,4,5,7,9,13,14],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,6,7,8,10,14],[2,5,6,8,9,11,12],[3,4,5,8,10,12,13],[3,4,6,7,9,10,14],[3,4,6,8,9,11,13],[3,5,6,7,9,11,12],[3,5,6,10,12,13,14],[4,5,7,8,10,11,13]]; G[4715]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 4716: autom. group order 2, simple, residual B[4716]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,8,9,10,14],[1,3,5,7,11,12,14],[1,3,7,9,11,12,13],[1,4,5,10,12,13,14],[1,4,6,7,8,10,12],[1,4,6,9,11,13,14],[1,5,8,9,10,11,14],[1,6,7,8,9,12,13],[2,3,7,9,10,11,13],[2,3,8,10,12,13,14],[2,4,5,7,9,13,14],[2,4,6,9,11,12,14],[2,4,7,8,11,12,14],[2,5,6,7,9,10,12],[2,5,6,8,11,12,13],[3,4,5,8,9,12,13],[3,4,6,7,10,13,14],[3,4,6,8,9,10,11],[3,5,6,7,8,11,14],[3,5,6,9,10,12,14],[4,5,7,8,10,11,13]]; G[4716]:=Group([(1,12)(3,11)(5,14)(6,8)]); # Design 4717: autom. group order 2, simple, residual B[4717]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,8,10,13,14],[1,3,5,7,11,12,14],[1,3,7,9,11,12,13],[1,4,5,9,12,13,14],[1,4,6,7,8,10,12],[1,4,6,9,10,11,14],[1,5,8,9,10,11,14],[1,6,7,8,9,12,13],[2,3,7,9,10,11,13],[2,3,8,9,10,12,14],[2,4,5,7,9,13,14],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,6,7,9,10,12],[2,5,6,8,9,11,12],[3,4,5,8,10,12,13],[3,4,6,7,9,10,14],[3,4,6,8,9,11,13],[3,5,6,7,8,11,14],[3,5,6,10,12,13,14],[4,5,7,8,10,11,13]]; G[4717]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 4718: autom. group order 2, simple B[4718]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,12,13,14],[1,2,7,8,10,13,14],[1,3,5,8,9,11,14],[1,3,7,8,9,12,13],[1,4,5,7,11,13,14],[1,4,6,7,8,12,14],[1,4,6,8,9,10,13],[1,5,9,10,11,12,14],[1,6,7,9,10,11,12],[2,3,7,8,10,11,14],[2,3,7,9,12,13,14],[2,4,5,7,9,10,12],[2,4,6,7,9,11,14],[2,4,8,9,11,12,13],[2,5,6,8,9,10,14],[2,5,6,8,11,12,13],[3,4,5,10,12,13,14],[3,4,6,8,11,12,14],[3,4,6,9,10,13,14],[3,5,6,7,8,10,12],[3,5,6,7,9,11,13],[4,5,7,8,10,11,13]]; G[4718]:=Group([(2,10)(3,11)(4,12)(5,9)(8,14)]); # Design 4719: autom. group order 2, simple, residual B[4719]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,12,13,14],[1,2,7,8,10,13,14],[1,3,5,8,9,11,14],[1,3,7,8,11,13,14],[1,4,5,7,9,12,13],[1,4,6,7,8,12,14],[1,4,6,8,9,10,13],[1,5,9,10,11,12,14],[1,6,7,9,10,11,12],[2,3,7,8,9,10,12],[2,3,7,9,12,13,14],[2,4,5,7,10,11,14],[2,4,6,7,9,11,14],[2,4,8,9,11,12,13],[2,5,6,8,9,10,14],[2,5,6,8,11,12,13],[3,4,5,10,12,13,14],[3,4,6,8,11,12,14],[3,4,6,9,10,13,14],[3,5,6,7,8,10,12],[3,5,6,7,9,11,13],[4,5,7,8,10,11,13]]; G[4719]:=Group([(2,10)(3,11)(4,12)(5,9)(8,14)]); # Design 4720: autom. group order 2, simple, residual B[4720]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,12,13,14],[1,2,7,8,10,13,14],[1,3,5,8,9,11,14],[1,3,7,8,11,13,14],[1,4,5,7,9,12,13],[1,4,6,7,8,12,14],[1,4,6,8,9,10,13],[1,5,9,10,11,12,14],[1,6,7,9,10,11,12],[2,3,7,8,9,10,12],[2,3,7,9,12,13,14],[2,4,5,7,10,11,14],[2,4,6,9,11,13,14],[2,4,8,9,11,12,13],[2,5,6,7,8,11,12],[2,5,6,8,9,10,14],[3,4,5,10,12,13,14],[3,4,6,7,9,10,14],[3,4,6,8,11,12,14],[3,5,6,7,9,11,13],[3,5,6,8,10,12,13],[4,5,7,8,10,11,13]]; G[4720]:=Group([(2,10)(3,11)(4,12)(5,9)(8,14)]); # Design 4721: autom. group order 2, simple B[4721]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,9,10,12,13],[1,3,5,9,11,12,14],[1,3,7,8,9,11,14],[1,4,5,7,12,13,14],[1,4,6,7,10,11,14],[1,4,6,8,9,10,12],[1,5,8,10,11,13,14],[1,6,7,8,9,12,13],[2,3,7,8,10,12,14],[2,3,7,9,10,11,13],[2,4,5,7,9,13,14],[2,4,6,9,11,12,14],[2,4,8,11,12,13,14],[2,5,6,7,8,11,12],[2,5,6,8,9,10,14],[3,4,5,8,10,12,13],[3,4,6,7,8,11,13],[3,4,6,9,10,13,14],[3,5,6,7,10,12,14],[3,5,6,9,11,12,13],[4,5,7,8,9,10,11]]; G[4721]:=Group([(1,12)(3,11)(5,14)(6,8)(7,13)]); # Design 4722: autom. group order 2, simple, residual B[4722]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,8,9,10,14],[1,3,5,9,11,12,14],[1,3,7,9,11,12,13],[1,4,5,7,12,13,14],[1,4,6,7,10,11,14],[1,4,6,8,9,10,12],[1,5,8,10,11,13,14],[1,6,7,8,9,12,13],[2,3,7,8,10,12,14],[2,3,7,9,10,11,13],[2,4,5,7,9,13,14],[2,4,6,9,11,12,14],[2,4,8,11,12,13,14],[2,5,6,7,8,11,12],[2,5,6,9,10,12,13],[3,4,5,8,10,12,13],[3,4,6,7,8,11,13],[3,4,6,9,10,13,14],[3,5,6,7,10,12,14],[3,5,6,8,9,11,14],[4,5,7,8,9,10,11]]; G[4722]:=Group([(1,12)(3,11)(5,14)(6,8)(7,13)]); # Design 4723: autom. group order 2, simple, residual B[4723]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,11,13,14],[1,2,7,9,11,12,13],[1,3,5,9,10,11,14],[1,3,7,8,12,13,14],[1,4,5,7,9,12,14],[1,4,6,8,11,12,14],[1,4,6,9,10,13,14],[1,5,7,8,10,12,13],[1,6,7,8,9,10,11],[2,3,7,9,10,13,14],[2,3,8,9,11,12,14],[2,4,5,10,12,13,14],[2,4,6,8,9,12,13],[2,4,7,8,10,11,14],[2,5,6,7,8,9,14],[2,5,6,7,10,11,12],[3,4,5,7,8,11,13],[3,4,6,7,9,10,12],[3,4,6,7,11,13,14],[3,5,6,8,10,12,14],[3,5,6,9,11,12,13],[4,5,8,9,10,11,13]]; G[4723]:=Group([(2,12)(3,7)(4,13)(5,8)(6,14)(9,10)]); # Design 4724: autom. group order 2, simple B[4724]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,7,8,10,13,14],[1,3,5,9,11,13,14],[1,3,7,9,12,13,14],[1,4,5,8,11,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,10,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,7,8,9,12,13],[2,3,7,8,10,11,14],[2,4,5,9,10,12,13],[2,4,6,7,9,11,13],[2,4,8,9,11,12,14],[2,5,6,7,11,12,14],[2,5,6,9,10,13,14],[3,4,5,7,10,12,14],[3,4,6,8,9,10,14],[3,4,6,11,12,13,14],[3,5,6,7,8,9,11],[3,5,6,8,10,12,13],[4,5,7,8,10,11,13]]; G[4724]:=Group([(2,10)(3,11)(4,12)(5,9)(7,8)]); # Design 4725: autom. group order 2, simple B[4725]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,7,8,10,13,14],[1,3,5,9,11,13,14],[1,3,7,9,12,13,14],[1,4,5,8,11,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,10,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,7,8,9,12,13],[2,3,7,8,10,11,14],[2,4,5,9,10,12,13],[2,4,6,7,9,11,14],[2,4,8,9,11,12,14],[2,5,6,7,11,12,13],[2,5,6,9,10,13,14],[3,4,5,7,10,12,14],[3,4,6,8,9,10,13],[3,4,6,11,12,13,14],[3,5,6,7,8,9,11],[3,5,6,8,10,12,14],[4,5,7,8,10,11,13]]; G[4725]:=Group([(2,10)(3,11)(4,12)(5,9)(7,8)]); # Design 4726: autom. group order 2, simple, residual B[4726]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,9,10,11],[1,2,7,8,10,13,14],[1,3,5,11,12,13,14],[1,3,7,9,11,12,13],[1,4,5,10,12,13,14],[1,4,6,7,10,11,14],[1,4,6,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,8,9,10,12],[2,3,7,9,10,11,13],[2,3,8,9,10,12,14],[2,4,5,7,9,13,14],[2,4,6,9,11,12,14],[2,4,7,8,11,12,14],[2,5,6,7,10,12,13],[2,5,6,8,11,12,13],[3,4,5,7,8,10,12],[3,4,6,7,8,11,13],[3,4,6,9,10,13,14],[3,5,6,7,9,12,14],[3,5,6,8,10,11,14],[4,5,8,9,10,11,13]]; G[4726]:=Group([(1,12)(3,11)(5,14)(6,8)]); # Design 4727: autom. group order 2, simple, residual B[4727]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,8,9,10,14],[1,3,5,9,11,12,14],[1,3,7,9,11,12,13],[1,4,5,10,12,13,14],[1,4,6,7,11,13,14],[1,4,6,8,9,10,12],[1,5,7,8,10,11,14],[1,6,7,8,9,12,13],[2,3,7,9,10,11,13],[2,3,8,10,12,13,14],[2,4,5,7,9,13,14],[2,4,6,9,11,12,14],[2,4,7,8,11,12,14],[2,5,6,7,9,10,12],[2,5,6,8,11,12,13],[3,4,5,7,8,12,13],[3,4,6,7,8,10,11],[3,4,6,9,10,13,14],[3,5,6,7,10,12,14],[3,5,6,8,9,11,14],[4,5,8,9,10,11,13]]; G[4727]:=Group([(1,12)(3,11)(5,14)(6,8)]); # Design 4728: autom. group order 2, simple, residual B[4728]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,8,9,10,13,14],[1,3,5,7,11,13,14],[1,3,7,9,12,13,14],[1,4,5,8,10,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,11,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,7,8,9,12,13],[2,3,7,8,10,11,14],[2,4,5,9,11,12,13],[2,4,6,7,9,10,14],[2,4,7,8,11,12,14],[2,5,6,7,10,12,13],[2,5,6,9,11,13,14],[3,4,5,9,10,12,14],[3,4,6,8,9,11,13],[3,4,6,10,12,13,14],[3,5,6,7,8,9,10],[3,5,6,8,11,12,14],[4,5,7,8,10,11,13]]; G[4728]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 4729: autom. group order 2, simple B[4729]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,7,12,14],[1,2,7,8,10,13,14],[1,3,5,9,12,13,14],[1,3,7,9,10,11,14],[1,4,5,8,10,13,14],[1,4,6,11,12,13,14],[1,4,7,8,9,11,12],[1,5,6,8,9,10,12],[1,6,7,8,9,11,13],[2,3,6,8,9,11,14],[2,3,7,8,12,13,14],[2,4,5,9,11,13,14],[2,4,6,7,9,12,13],[2,4,6,8,9,10,14],[2,5,7,8,10,11,12],[2,5,9,10,11,12,13],[3,4,5,7,8,11,13],[3,4,6,8,10,12,13],[3,4,7,9,10,12,14],[3,5,6,7,9,10,13],[3,5,6,8,11,12,14],[4,5,6,7,10,11,14]]; G[4729]:=Group([(1,11)(3,10)(4,12)(6,13)(7,9)]); # Design 4730: autom. group order 2, simple B[4730]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,7,12,14],[1,2,7,8,10,13,14],[1,3,5,9,12,13,14],[1,3,7,11,12,13,14],[1,4,5,8,10,13,14],[1,4,6,9,10,11,14],[1,4,7,8,9,11,12],[1,5,6,8,9,10,12],[1,6,7,8,9,11,13],[2,3,6,8,9,11,14],[2,3,7,8,9,10,14],[2,4,5,9,11,13,14],[2,4,6,7,9,12,13],[2,4,6,8,12,13,14],[2,5,7,8,10,11,12],[2,5,9,10,11,12,13],[3,4,5,7,8,11,13],[3,4,6,8,10,12,13],[3,4,7,9,10,12,14],[3,5,6,7,9,10,13],[3,5,6,8,11,12,14],[4,5,6,7,10,11,14]]; G[4730]:=Group([(1,11)(3,10)(4,12)(6,13)(7,9)]); # Design 4731: autom. group order 2, simple, residual B[4731]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,7,12,14],[1,2,7,8,10,13,14],[1,3,5,9,12,13,14],[1,3,7,9,10,11,14],[1,4,5,8,10,13,14],[1,4,6,8,11,12,13],[1,4,7,9,11,12,14],[1,5,6,8,9,10,12],[1,6,7,8,9,11,13],[2,3,6,8,9,11,14],[2,3,7,8,12,13,14],[2,4,5,9,11,13,14],[2,4,6,7,9,12,13],[2,4,6,8,9,10,14],[2,5,7,8,10,11,12],[2,5,9,10,11,12,13],[3,4,5,7,8,11,13],[3,4,6,10,12,13,14],[3,4,7,8,9,10,12],[3,5,6,7,9,10,13],[3,5,6,8,11,12,14],[4,5,6,7,10,11,14]]; G[4731]:=Group([(1,11)(3,10)(4,12)(6,13)(7,9)]); # Design 4732: autom. group order 2, simple, residual B[4732]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,7,12,14],[1,2,7,8,9,10,14],[1,3,5,8,12,13,14],[1,3,7,10,12,13,14],[1,4,5,9,11,13,14],[1,4,6,8,10,11,14],[1,4,7,9,11,12,13],[1,5,6,8,9,11,12],[1,6,7,8,9,10,13],[2,3,6,9,11,13,14],[2,3,7,8,9,11,14],[2,4,5,8,10,13,14],[2,4,6,7,8,12,13],[2,4,6,9,12,13,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,7,9,10,13],[3,4,6,8,9,10,12],[3,4,7,8,11,12,14],[3,5,6,7,8,11,13],[3,5,6,9,10,12,14],[4,5,6,7,10,11,14]]; G[4732]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 4733: autom. group order 2, simple, residual B[4733]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,7,12,14],[1,2,7,8,9,10,14],[1,3,5,8,9,12,13],[1,3,7,10,12,13,14],[1,4,5,8,11,13,14],[1,4,6,9,10,11,14],[1,4,7,8,11,12,13],[1,5,6,9,11,12,14],[1,6,7,8,9,10,13],[2,3,6,8,11,13,14],[2,3,7,8,9,11,14],[2,4,5,9,10,13,14],[2,4,6,7,9,12,13],[2,4,6,8,12,13,14],[2,5,7,8,10,11,12],[2,5,9,10,11,12,13],[3,4,5,7,10,13,14],[3,4,6,8,9,10,12],[3,4,7,9,11,12,14],[3,5,6,7,9,11,13],[3,5,6,8,10,12,14],[4,5,6,7,8,10,11]]; G[4733]:=Group([(1,10)(3,11)(4,12)(6,13)(7,9)]); # Design 4734: autom. group order 2, simple B[4734]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,7,12,14],[1,2,7,8,10,13,14],[1,3,5,8,9,12,13],[1,3,7,11,12,13,14],[1,4,5,8,10,13,14],[1,4,6,9,10,11,14],[1,4,7,8,9,11,12],[1,5,6,9,10,12,14],[1,6,7,8,9,11,13],[2,3,6,8,9,11,14],[2,3,7,8,9,10,14],[2,4,5,9,11,13,14],[2,4,6,7,9,12,13],[2,4,6,8,12,13,14],[2,5,7,8,10,11,12],[2,5,9,10,11,12,13],[3,4,5,7,11,13,14],[3,4,6,8,10,12,13],[3,4,7,9,10,12,14],[3,5,6,7,9,10,13],[3,5,6,8,11,12,14],[4,5,6,7,8,10,11]]; G[4734]:=Group([(1,11)(3,10)(4,12)(6,13)(7,9)]); # Design 4735: autom. group order 2, simple B[4735]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,7,12,14],[1,2,7,8,9,10,14],[1,3,5,8,9,12,13],[1,3,7,8,10,11,14],[1,4,5,9,11,13,14],[1,4,6,9,10,12,13],[1,4,7,11,12,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,10,13],[2,3,6,9,11,13,14],[2,3,7,9,12,13,14],[2,4,5,8,10,13,14],[2,4,6,7,8,12,13],[2,4,6,8,9,11,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,7,10,13,14],[3,4,6,8,10,12,14],[3,4,7,8,9,11,12],[3,5,6,7,8,11,13],[3,5,6,9,10,12,14],[4,5,6,7,9,10,11]]; G[4735]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 4736: autom. group order 2, simple B[4736]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,7,12,14],[1,2,7,8,9,10,14],[1,3,5,8,12,13,14],[1,3,7,8,10,11,14],[1,4,5,9,11,13,14],[1,4,6,9,10,12,13],[1,4,7,11,12,13,14],[1,5,6,8,9,11,12],[1,6,7,8,9,10,13],[2,3,6,9,11,13,14],[2,3,7,9,12,13,14],[2,4,5,8,10,13,14],[2,4,6,7,8,12,13],[2,4,6,8,9,11,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,7,9,10,13],[3,4,6,8,10,12,14],[3,4,7,8,9,11,12],[3,5,6,7,8,11,13],[3,5,6,9,10,12,14],[4,5,6,7,10,11,14]]; G[4736]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 4737: autom. group order 2, simple B[4737]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,7,12,14],[1,2,7,8,9,10,14],[1,3,5,8,12,13,14],[1,3,7,8,10,11,14],[1,4,5,9,11,13,14],[1,4,6,10,12,13,14],[1,4,7,9,11,12,13],[1,5,6,8,9,11,12],[1,6,7,8,9,10,13],[2,3,6,9,11,13,14],[2,3,7,9,12,13,14],[2,4,5,8,10,13,14],[2,4,6,7,8,12,13],[2,4,6,8,9,11,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,7,9,10,13],[3,4,6,8,9,10,12],[3,4,7,8,11,12,14],[3,5,6,7,8,11,13],[3,5,6,9,10,12,14],[4,5,6,7,10,11,14]]; G[4737]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 4738: autom. group order 2, simple, residual B[4738]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,9,10,11,14],[1,3,5,7,10,12,13],[1,3,7,8,9,12,14],[1,4,5,7,9,13,14],[1,4,6,11,12,13,14],[1,4,8,10,12,13,14],[1,5,6,8,9,11,12],[1,6,7,8,9,10,11],[2,3,6,9,10,12,14],[2,3,7,8,11,12,13],[2,4,5,9,11,12,14],[2,4,6,7,8,10,14],[2,4,6,7,9,12,13],[2,5,7,8,11,13,14],[2,5,8,9,10,12,13],[3,4,5,8,10,11,14],[3,4,6,8,9,11,13],[3,4,7,9,10,11,13],[3,5,6,7,11,12,14],[3,5,6,9,10,13,14],[4,5,6,7,8,10,12]]; G[4738]:=Group([(2,14)(3,13)(5,12)(6,8)(7,10)(9,11)]); # Design 4739: autom. group order 2, simple, residual B[4739]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,7,9,10,13,14],[1,3,5,7,9,12,13],[1,3,7,8,10,11,14],[1,4,5,8,10,13,14],[1,4,6,9,11,12,13],[1,4,7,8,11,12,14],[1,5,6,9,10,12,14],[1,6,7,8,9,11,13],[2,3,6,8,9,11,14],[2,3,8,9,12,13,14],[2,4,5,7,11,13,14],[2,4,6,7,8,12,13],[2,4,6,7,9,10,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,9,11,13,14],[3,4,6,10,12,13,14],[3,4,7,8,9,10,12],[3,5,6,7,8,10,13],[3,5,6,7,11,12,14],[4,5,6,8,9,10,11]]; G[4739]:=Group([(1,11)(3,10)(4,12)(6,13)(7,8)]); # Design 4740: autom. group order 2, simple, residual B[4740]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,7,9,10,13,14],[1,3,5,7,9,12,13],[1,3,7,8,10,11,14],[1,4,5,8,10,13,14],[1,4,6,9,11,12,13],[1,4,7,8,11,12,14],[1,5,6,9,11,13,14],[1,6,7,8,9,10,12],[2,3,6,8,9,11,14],[2,3,8,9,12,13,14],[2,4,5,7,11,13,14],[2,4,6,7,8,12,13],[2,4,6,7,9,10,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,9,10,12,14],[3,4,6,10,12,13,14],[3,4,7,8,9,11,13],[3,5,6,7,8,10,13],[3,5,6,7,11,12,14],[4,5,6,8,9,10,11]]; G[4740]:=Group([(1,11)(3,10)(4,12)(6,13)(7,8)]); # Design 4741: autom. group order 2, simple, residual B[4741]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,7,9,10,13,14],[1,3,5,7,12,13,14],[1,3,7,8,10,11,14],[1,4,5,8,9,10,13],[1,4,6,9,11,12,13],[1,4,7,8,11,12,14],[1,5,6,9,10,12,14],[1,6,7,8,9,11,13],[2,3,6,8,9,11,14],[2,3,8,9,12,13,14],[2,4,5,7,11,13,14],[2,4,6,7,8,12,13],[2,4,6,7,9,10,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,9,11,13,14],[3,4,6,10,12,13,14],[3,4,7,8,9,10,12],[3,5,6,7,8,10,13],[3,5,6,7,9,11,12],[4,5,6,8,10,11,14]]; G[4741]:=Group([(1,11)(3,10)(4,12)(6,13)(7,8)]); # Design 4742: autom. group order 2, simple, residual B[4742]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,7,9,10,13,14],[1,3,5,7,12,13,14],[1,3,7,8,10,11,14],[1,4,5,8,9,10,13],[1,4,6,9,11,12,13],[1,4,7,8,11,12,14],[1,5,6,9,11,13,14],[1,6,7,8,9,10,12],[2,3,6,8,9,11,14],[2,3,8,9,12,13,14],[2,4,5,7,11,13,14],[2,4,6,7,8,12,13],[2,4,6,7,9,10,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,9,10,12,14],[3,4,6,10,12,13,14],[3,4,7,8,9,11,13],[3,5,6,7,8,10,13],[3,5,6,7,9,11,12],[4,5,6,8,10,11,14]]; G[4742]:=Group([(1,11)(3,10)(4,12)(6,13)(7,8)]); # Design 4743: autom. group order 2, simple, residual B[4743]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,7,8,9,10,14],[1,3,5,7,9,12,13],[1,3,7,8,10,11,14],[1,4,5,8,11,13,14],[1,4,6,9,10,12,13],[1,4,7,11,12,13,14],[1,5,6,9,10,13,14],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,8,9,12,13,14],[2,4,5,7,10,13,14],[2,4,6,7,8,12,13],[2,4,6,7,9,11,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,9,11,12,14],[3,4,6,8,10,12,14],[3,4,7,8,9,10,13],[3,5,6,7,8,11,13],[3,5,6,7,10,12,14],[4,5,6,8,9,10,11]]; G[4743]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 4744: autom. group order 2, simple B[4744]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,7,8,9,10,14],[1,3,5,7,9,12,13],[1,3,7,8,10,11,14],[1,4,5,8,11,13,14],[1,4,6,9,10,12,13],[1,4,7,11,12,13,14],[1,5,6,9,11,12,14],[1,6,7,8,9,10,13],[2,3,6,9,11,13,14],[2,3,8,9,12,13,14],[2,4,5,7,10,13,14],[2,4,6,7,8,12,13],[2,4,6,7,9,11,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,9,10,13,14],[3,4,6,8,10,12,14],[3,4,7,8,9,11,12],[3,5,6,7,8,11,13],[3,5,6,7,10,12,14],[4,5,6,8,9,10,11]]; G[4744]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 4745: autom. group order 2, simple, residual B[4745]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,7,8,9,10,14],[1,3,5,7,12,13,14],[1,3,7,8,10,11,14],[1,4,5,8,9,11,13],[1,4,6,9,10,12,13],[1,4,7,11,12,13,14],[1,5,6,9,10,13,14],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,8,9,12,13,14],[2,4,5,7,10,13,14],[2,4,6,7,8,12,13],[2,4,6,7,9,11,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,9,11,12,14],[3,4,6,8,10,12,14],[3,4,7,8,9,10,13],[3,5,6,7,8,11,13],[3,5,6,7,9,10,12],[4,5,6,8,10,11,14]]; G[4745]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 4746: autom. group order 2, simple B[4746]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,7,8,9,10,14],[1,3,5,7,12,13,14],[1,3,7,8,10,11,14],[1,4,5,8,9,11,13],[1,4,6,9,10,12,13],[1,4,7,11,12,13,14],[1,5,6,9,11,12,14],[1,6,7,8,9,10,13],[2,3,6,9,11,13,14],[2,3,8,9,12,13,14],[2,4,5,7,10,13,14],[2,4,6,7,8,12,13],[2,4,6,7,9,11,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,9,10,13,14],[3,4,6,8,10,12,14],[3,4,7,8,9,11,12],[3,5,6,7,8,11,13],[3,5,6,7,9,10,12],[4,5,6,8,10,11,14]]; G[4746]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 4747: autom. group order 2, simple B[4747]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,7,9,10,13,14],[1,3,5,7,9,12,13],[1,3,8,11,12,13,14],[1,4,5,8,10,13,14],[1,4,6,7,10,11,14],[1,4,7,8,9,11,12],[1,5,6,9,10,12,14],[1,6,7,8,9,11,13],[2,3,6,8,9,11,14],[2,3,7,8,9,10,14],[2,4,5,7,11,13,14],[2,4,6,7,8,12,13],[2,4,6,9,12,13,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,9,11,13,14],[3,4,6,9,10,12,13],[3,4,7,8,10,12,14],[3,5,6,7,8,10,13],[3,5,6,7,11,12,14],[4,5,6,8,9,10,11]]; G[4747]:=Group([(1,11)(3,10)(4,12)(6,13)(7,8)]); # Design 4748: autom. group order 2, simple B[4748]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,7,9,10,13,14],[1,3,5,7,12,13,14],[1,3,8,11,12,13,14],[1,4,5,8,9,10,13],[1,4,6,7,10,11,14],[1,4,7,8,9,11,12],[1,5,6,9,10,12,14],[1,6,7,8,9,11,13],[2,3,6,8,9,11,14],[2,3,7,8,9,10,14],[2,4,5,7,11,13,14],[2,4,6,7,8,12,13],[2,4,6,9,12,13,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,9,11,13,14],[3,4,6,9,10,12,13],[3,4,7,8,10,12,14],[3,5,6,7,8,10,13],[3,5,6,7,9,11,12],[4,5,6,8,10,11,14]]; G[4748]:=Group([(1,11)(3,10)(4,12)(6,13)(7,8)]); # Design 4749: autom. group order 2, simple, residual B[4749]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,7,8,9,10,14],[1,3,5,7,9,12,13],[1,3,8,10,12,13,14],[1,4,5,8,11,13,14],[1,4,6,7,10,11,14],[1,4,7,9,11,12,13],[1,5,6,9,11,12,14],[1,6,7,8,9,10,13],[2,3,6,9,11,13,14],[2,3,7,8,9,11,14],[2,4,5,7,10,13,14],[2,4,6,7,8,12,13],[2,4,6,9,12,13,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,9,10,13,14],[3,4,6,8,9,10,12],[3,4,7,8,11,12,14],[3,5,6,7,8,11,13],[3,5,6,7,10,12,14],[4,5,6,8,9,10,11]]; G[4749]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 4750: autom. group order 2, simple, residual B[4750]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,7,8,9,10,14],[1,3,5,7,12,13,14],[1,3,8,9,10,12,13],[1,4,5,8,11,13,14],[1,4,6,7,10,11,14],[1,4,7,9,11,12,13],[1,5,6,9,10,13,14],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,8,9,11,14],[2,4,5,7,9,10,13],[2,4,6,7,8,12,13],[2,4,6,9,12,13,14],[2,5,7,10,11,12,14],[2,5,8,10,11,12,13],[3,4,5,9,11,12,14],[3,4,6,8,10,12,14],[3,4,7,8,10,13,14],[3,5,6,7,8,11,13],[3,5,6,7,9,10,12],[4,5,6,8,9,10,11]]; G[4750]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)(9,14)]); # Design 4751: autom. group order 2, simple, residual B[4751]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,7,8,9,10,14],[1,3,5,7,12,13,14],[1,3,8,10,12,13,14],[1,4,5,8,9,11,13],[1,4,6,7,10,11,14],[1,4,7,9,11,12,13],[1,5,6,9,11,12,14],[1,6,7,8,9,10,13],[2,3,6,9,11,13,14],[2,3,7,8,9,11,14],[2,4,5,7,10,13,14],[2,4,6,7,8,12,13],[2,4,6,9,12,13,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,9,10,13,14],[3,4,6,8,9,10,12],[3,4,7,8,11,12,14],[3,5,6,7,8,11,13],[3,5,6,7,9,10,12],[4,5,6,8,10,11,14]]; G[4751]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 4752: autom. group order 2, simple, residual B[4752]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,13,14],[1,2,7,9,11,13,14],[1,3,5,7,11,12,13],[1,3,8,10,11,12,14],[1,4,5,8,9,12,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,13],[1,5,6,7,9,10,11],[1,6,7,8,10,12,14],[2,3,6,7,9,10,12],[2,3,7,8,9,11,14],[2,4,5,7,10,12,14],[2,4,6,8,10,11,13],[2,4,6,9,11,12,14],[2,5,7,8,11,12,13],[2,5,8,9,10,12,13],[3,4,5,10,11,13,14],[3,4,6,7,8,12,13],[3,4,7,9,10,13,14],[3,5,6,8,9,10,11],[3,5,6,9,12,13,14],[4,5,6,7,8,11,14]]; G[4752]:=Group([(2,14)(3,8)(4,12)(5,10)(9,11)]); # Design 4753: autom. group order 2, simple, residual B[4753]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,9,10,11],[1,2,7,9,12,13,14],[1,3,5,7,10,12,13],[1,3,8,9,11,13,14],[1,4,5,9,10,13,14],[1,4,6,8,11,12,13],[1,4,7,8,10,11,14],[1,5,6,7,11,12,14],[1,6,7,8,9,10,12],[2,3,6,7,10,13,14],[2,3,7,8,9,11,12],[2,4,5,11,12,13,14],[2,4,6,7,9,11,14],[2,4,6,8,10,12,13],[2,5,7,8,10,11,13],[2,5,8,9,10,12,14],[3,4,5,7,8,12,14],[3,4,6,9,10,12,14],[3,4,7,9,10,11,13],[3,5,6,8,10,11,14],[3,5,6,9,11,12,13],[4,5,6,7,8,9,13]]; G[4753]:=Group([(1,6)(2,8)(3,13)(5,12)(7,11)(9,10)]); # Design 4754: autom. group order 2, simple, residual B[4754]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,13,14],[1,2,7,9,11,13,14],[1,3,5,7,11,12,13],[1,3,8,10,11,12,14],[1,4,5,8,9,12,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,13],[1,5,6,7,9,10,11],[1,6,7,8,10,12,14],[2,3,6,9,10,12,13],[2,3,7,8,9,11,14],[2,4,5,7,10,12,14],[2,4,6,7,8,10,11],[2,4,6,9,11,12,14],[2,5,7,8,11,12,13],[2,5,8,9,10,12,13],[3,4,5,10,11,13,14],[3,4,6,7,8,12,13],[3,4,7,9,10,13,14],[3,5,6,7,9,12,14],[3,5,6,8,9,10,11],[4,5,6,8,11,13,14]]; G[4754]:=Group([(2,14)(3,8)(4,12)(5,10)(9,11)]); # Design 4755: autom. group order 2, simple, residual B[4755]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,11,13,14],[1,2,7,8,10,11,13],[1,3,5,8,9,12,13],[1,3,7,8,9,10,14],[1,4,5,7,9,11,14],[1,4,6,7,8,12,13],[1,4,9,10,11,12,13],[1,5,6,8,11,12,14],[1,6,7,9,10,12,14],[2,3,6,7,9,12,13],[2,3,7,8,11,12,14],[2,4,5,7,10,12,14],[2,4,6,8,9,10,11],[2,4,6,8,9,12,14],[2,5,7,9,11,12,13],[2,5,8,9,10,13,14],[3,4,5,10,12,13,14],[3,4,6,9,11,13,14],[3,4,7,8,11,13,14],[3,5,6,7,9,10,11],[3,5,6,8,10,11,12],[4,5,6,7,8,10,13]]; G[4755]:=Group([(1,14)(2,13)(5,11)(7,9)]); # Design 4756: autom. group order 2, simple, residual B[4756]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,8,10,12,13],[1,3,5,9,10,12,14],[1,3,7,8,11,12,14],[1,4,5,7,11,13,14],[1,4,6,9,10,12,14],[1,4,7,8,9,10,13],[1,5,6,9,11,12,13],[1,6,7,8,9,11,14],[2,3,6,7,9,10,14],[2,3,7,9,11,12,13],[2,4,5,8,9,11,14],[2,4,6,7,9,11,12],[2,4,6,8,12,13,14],[2,5,7,9,10,13,14],[2,5,8,10,11,12,14],[3,4,5,7,12,13,14],[3,4,6,10,11,13,14],[3,4,8,9,10,11,13],[3,5,6,7,8,10,11],[3,5,6,8,9,12,13],[4,5,6,7,8,10,12]]; G[4756]:=Group([(1,11)(2,10)(5,13)(7,14)]); # Design 4757: autom. group order 2, simple, residual B[4757]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,13,14],[1,2,7,8,10,11,13],[1,3,5,9,11,12,13],[1,3,7,8,11,12,14],[1,4,5,7,10,12,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,13],[1,5,6,9,10,11,14],[1,6,7,8,9,12,14],[2,3,6,7,9,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,12,14],[2,4,6,7,9,11,14],[2,4,6,8,10,11,12],[2,5,7,9,10,12,13],[2,5,8,11,12,13,14],[3,4,5,7,11,13,14],[3,4,6,10,12,13,14],[3,4,8,9,10,13,14],[3,5,6,7,8,10,12],[3,5,6,8,9,10,11],[4,5,6,7,8,11,13]]; G[4757]:=Group([(1,14)(2,13)(5,10)(7,12)]); # Design 4758: autom. group order 2, simple, residual B[4758]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,11,13,14],[1,2,7,8,12,13,14],[1,3,5,8,9,10,13],[1,3,7,8,9,11,14],[1,4,5,7,10,12,14],[1,4,6,8,9,12,14],[1,4,9,10,11,12,13],[1,5,6,7,8,11,12],[1,6,7,9,10,11,13],[2,3,6,7,9,11,12],[2,3,7,8,10,12,13],[2,4,5,7,9,11,13],[2,4,6,8,9,12,13],[2,4,6,8,10,11,14],[2,5,7,9,10,12,14],[2,5,8,9,10,11,14],[3,4,5,11,12,13,14],[3,4,6,7,9,10,14],[3,4,7,8,11,13,14],[3,5,6,8,10,11,12],[3,5,6,9,12,13,14],[4,5,6,7,8,10,13]]; G[4758]:=Group([(2,13)(3,10)(4,9)(5,11)(8,12)]); # Design 4759: autom. group order 2, simple, residual B[4759]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,9,10,12,13],[1,3,5,9,10,11,14],[1,3,7,8,10,12,14],[1,4,5,7,9,13,14],[1,4,6,11,12,13,14],[1,4,8,9,11,12,13],[1,5,6,7,8,11,12],[1,6,7,8,9,10,14],[2,3,6,7,9,12,13],[2,3,8,9,11,13,14],[2,4,5,8,10,12,14],[2,4,6,7,8,11,14],[2,4,6,9,10,12,14],[2,5,7,8,9,11,12],[2,5,7,10,11,13,14],[3,4,5,7,12,13,14],[3,4,6,7,9,10,11],[3,4,7,8,10,11,13],[3,5,6,8,10,12,13],[3,5,6,9,11,12,14],[4,5,6,8,9,10,13]]; G[4759]:=Group([(2,11)(3,12)(5,13)(7,14)]); # Design 4760: autom. group order 2, simple, residual B[4760]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,11,13,14],[1,2,7,8,12,13,14],[1,3,5,8,9,10,13],[1,3,7,8,9,11,14],[1,4,5,7,10,12,14],[1,4,6,8,9,12,14],[1,4,9,10,11,12,13],[1,5,6,7,8,11,12],[1,6,7,9,10,11,13],[2,3,6,9,11,12,14],[2,3,7,8,10,12,13],[2,4,5,7,9,11,13],[2,4,6,7,8,10,11],[2,4,6,8,9,12,13],[2,5,7,9,10,12,14],[2,5,8,9,10,11,14],[3,4,5,11,12,13,14],[3,4,6,7,9,10,14],[3,4,7,8,11,13,14],[3,5,6,7,9,12,13],[3,5,6,8,10,11,12],[4,5,6,8,10,13,14]]; G[4760]:=Group([(2,13)(3,10)(4,9)(5,11)(8,12)]); # Design 4761: autom. group order 2, simple, residual B[4761]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,7,8,9,10,14],[1,3,5,9,12,13,14],[1,3,7,10,12,13,14],[1,4,5,7,9,11,13],[1,4,6,8,10,11,14],[1,4,8,9,11,12,13],[1,5,6,7,11,12,14],[1,6,7,8,9,10,13],[2,3,6,9,11,13,14],[2,3,7,8,9,11,14],[2,4,5,7,10,13,14],[2,4,6,7,8,12,13],[2,4,6,9,12,13,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,8,10,13,14],[3,4,6,7,9,10,12],[3,4,7,8,11,12,14],[3,5,6,7,8,11,13],[3,5,6,8,9,10,12],[4,5,6,9,10,11,14]]; G[4761]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 4762: autom. group order 2, simple, residual B[4762]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,7,8,9,10,14],[1,3,5,9,12,13,14],[1,3,7,10,12,13,14],[1,4,5,7,11,13,14],[1,4,6,8,10,11,14],[1,4,8,9,11,12,13],[1,5,6,7,9,11,12],[1,6,7,8,9,10,13],[2,3,6,9,11,13,14],[2,3,7,8,9,11,14],[2,4,5,7,10,13,14],[2,4,6,7,8,12,13],[2,4,6,9,12,13,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,8,9,10,13],[3,4,6,7,9,10,12],[3,4,7,8,11,12,14],[3,5,6,7,8,11,13],[3,5,6,8,10,12,14],[4,5,6,9,10,11,14]]; G[4762]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 4763: autom. group order 2, simple B[4763]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,7,8,9,10,14],[1,3,5,9,12,13,14],[1,3,7,8,10,11,14],[1,4,5,7,9,11,13],[1,4,6,9,10,12,13],[1,4,8,11,12,13,14],[1,5,6,7,11,12,14],[1,6,7,8,9,10,13],[2,3,6,9,11,13,14],[2,3,7,9,12,13,14],[2,4,5,7,10,13,14],[2,4,6,7,8,12,13],[2,4,6,8,9,11,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,8,10,13,14],[3,4,6,7,10,12,14],[3,4,7,8,9,11,12],[3,5,6,7,8,11,13],[3,5,6,8,9,10,12],[4,5,6,9,10,11,14]]; G[4763]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 4764: autom. group order 2, simple B[4764]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,7,8,9,10,14],[1,3,5,9,12,13,14],[1,3,7,8,10,11,14],[1,4,5,7,11,13,14],[1,4,6,9,10,12,13],[1,4,8,11,12,13,14],[1,5,6,7,9,11,12],[1,6,7,8,9,10,13],[2,3,6,9,11,13,14],[2,3,7,9,12,13,14],[2,4,5,7,10,13,14],[2,4,6,7,8,12,13],[2,4,6,8,9,11,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,8,9,10,13],[3,4,6,7,10,12,14],[3,4,7,8,9,11,12],[3,5,6,7,8,11,13],[3,5,6,8,10,12,14],[4,5,6,9,10,11,14]]; G[4764]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 4765: autom. group order 2, simple B[4765]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,7,8,9,10,14],[1,3,5,9,12,13,14],[1,3,7,8,10,11,14],[1,4,5,7,11,13,14],[1,4,6,10,12,13,14],[1,4,8,9,11,12,13],[1,5,6,7,9,11,12],[1,6,7,8,9,10,13],[2,3,6,9,11,13,14],[2,3,7,9,12,13,14],[2,4,5,7,10,13,14],[2,4,6,7,8,12,13],[2,4,6,8,9,11,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,8,9,10,13],[3,4,6,7,9,10,12],[3,4,7,8,11,12,14],[3,5,6,7,8,11,13],[3,5,6,8,10,12,14],[4,5,6,9,10,11,14]]; G[4765]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 4766: autom. group order 2, simple, residual B[4766]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,9,10,11,14],[1,3,5,9,10,12,13],[1,3,7,8,9,12,14],[1,4,5,7,9,13,14],[1,4,6,10,12,13,14],[1,4,8,11,12,13,14],[1,5,6,7,8,11,12],[1,6,7,8,9,10,11],[2,3,6,9,11,12,14],[2,3,7,8,10,12,13],[2,4,5,7,11,12,14],[2,4,6,7,9,12,13],[2,4,6,8,9,10,14],[2,5,7,8,10,13,14],[2,5,8,9,11,12,13],[3,4,5,8,10,11,14],[3,4,6,7,8,11,13],[3,4,7,9,10,11,13],[3,5,6,7,10,12,14],[3,5,6,9,11,13,14],[4,5,6,8,9,10,12]]; G[4766]:=Group([(2,14)(3,13)(5,12)(6,8)(7,11)(9,10)]); # Design 4767: autom. group order 2, simple, residual B[4767]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,9,10,12,13],[1,3,5,9,10,11,14],[1,3,7,8,10,12,14],[1,4,5,7,9,13,14],[1,4,6,11,12,13,14],[1,4,8,9,11,12,13],[1,5,6,7,8,11,12],[1,6,7,8,9,10,14],[2,3,6,9,12,13,14],[2,3,7,8,9,11,13],[2,4,5,8,10,12,14],[2,4,6,7,8,11,14],[2,4,6,7,9,10,12],[2,5,7,10,11,13,14],[2,5,8,9,11,12,14],[3,4,5,7,12,13,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,13],[3,5,6,7,9,11,12],[3,5,6,8,10,12,13],[4,5,6,8,9,10,13]]; G[4767]:=Group([(2,11)(3,12)(5,13)(7,14)]); # Design 4768: autom. group order 2, simple B[4768]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,11,13,14],[1,2,7,8,10,12,14],[1,3,5,9,12,13,14],[1,3,9,10,11,13,14],[1,4,5,8,11,12,14],[1,4,6,7,9,13,14],[1,4,7,8,11,12,13],[1,5,6,7,9,10,12],[1,6,7,8,9,10,11],[2,3,6,7,11,12,14],[2,3,7,9,11,12,13],[2,4,5,7,10,13,14],[2,4,6,8,9,11,13],[2,4,6,9,10,12,14],[2,5,7,8,9,11,14],[2,5,8,9,10,12,13],[3,4,5,7,9,10,11],[3,4,6,8,9,12,14],[3,4,7,8,10,13,14],[3,5,6,7,8,12,13],[3,5,6,8,10,11,14],[4,5,6,10,11,12,13]]; G[4768]:=Group([(1,4)(2,11)(3,12)(5,8)(6,13)(9,14)]); # Design 4769: autom. group order 2, simple B[4769]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,11,13,14],[1,2,7,8,10,12,14],[1,3,5,9,12,13,14],[1,3,9,10,11,13,14],[1,4,5,8,11,12,14],[1,4,6,7,9,13,14],[1,4,7,8,11,12,13],[1,5,6,7,9,10,12],[1,6,7,8,9,10,11],[2,3,6,7,11,12,14],[2,3,7,9,11,12,13],[2,4,5,7,10,13,14],[2,4,6,8,9,11,13],[2,4,6,9,10,12,14],[2,5,7,8,9,12,13],[2,5,8,9,10,11,14],[3,4,5,7,9,10,11],[3,4,6,8,9,12,14],[3,4,7,8,10,13,14],[3,5,6,7,8,11,14],[3,5,6,8,10,12,13],[4,5,6,10,11,12,13]]; G[4769]:=Group([(1,4)(2,11)(3,12)(5,8)(6,13)(9,14)]); # Design 4770: autom. group order 2, simple, residual B[4770]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,11,13,14],[1,2,8,9,10,11,13],[1,3,5,7,8,12,13],[1,3,7,8,9,10,14],[1,4,5,7,9,11,14],[1,4,6,8,9,12,13],[1,4,7,10,11,12,13],[1,5,6,8,11,12,14],[1,6,7,9,10,12,14],[2,3,6,7,9,12,13],[2,3,8,9,11,12,14],[2,4,5,9,10,12,14],[2,4,6,7,8,10,11],[2,4,6,7,8,12,14],[2,5,7,8,10,13,14],[2,5,7,9,11,12,13],[3,4,5,10,12,13,14],[3,4,6,9,11,13,14],[3,4,7,8,11,13,14],[3,5,6,7,9,10,11],[3,5,6,8,10,11,12],[4,5,6,8,9,10,13]]; G[4770]:=Group([(1,14)(2,13)(5,11)(7,9)]); # Design 4771: autom. group order 2, simple, residual B[4771]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,8,10,12,13,14],[1,3,5,9,10,12,14],[1,3,7,8,11,12,14],[1,4,5,7,11,13,14],[1,4,6,7,9,10,12],[1,4,7,8,9,10,13],[1,5,6,9,11,12,13],[1,6,7,8,9,11,14],[2,3,6,7,9,10,14],[2,3,7,9,11,12,13],[2,4,5,8,9,11,14],[2,4,6,7,8,12,13],[2,4,6,9,11,12,14],[2,5,7,8,10,11,12],[2,5,7,9,10,13,14],[3,4,5,7,12,13,14],[3,4,6,10,11,13,14],[3,4,8,9,10,11,13],[3,5,6,7,8,10,11],[3,5,6,8,9,12,13],[4,5,6,8,10,12,14]]; G[4771]:=Group([(1,11)(2,10)(5,13)(7,14)]); # Design 4772: autom. group order 2, simple, residual B[4772]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,13,14],[1,2,8,10,11,12,13],[1,3,5,9,11,12,13],[1,3,7,8,11,12,14],[1,4,5,7,10,11,14],[1,4,6,7,9,12,13],[1,4,7,8,9,10,13],[1,5,6,9,10,12,14],[1,6,7,8,9,11,14],[2,3,6,7,9,11,13],[2,3,7,9,10,12,14],[2,4,5,8,9,11,14],[2,4,6,7,8,10,12],[2,4,6,9,11,12,14],[2,5,7,8,12,13,14],[2,5,7,9,10,11,13],[3,4,5,7,12,13,14],[3,4,6,10,11,13,14],[3,4,8,9,10,13,14],[3,5,6,7,8,10,11],[3,5,6,8,9,10,12],[4,5,6,8,11,12,13]]; G[4772]:=Group([(1,14)(2,13)(5,10)(7,11)]); # Design 4773: autom. group order 2, simple B[4773]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,8,9,10,13,14],[1,3,5,9,12,13,14],[1,3,7,11,12,13,14],[1,4,5,7,9,10,13],[1,4,6,8,10,11,14],[1,4,7,8,9,11,12],[1,5,6,7,10,12,14],[1,6,7,8,9,11,13],[2,3,6,7,9,11,14],[2,3,7,8,9,10,14],[2,4,5,7,11,13,14],[2,4,6,7,8,12,13],[2,4,6,9,12,13,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,8,11,13,14],[3,4,6,9,10,12,13],[3,4,7,8,10,12,14],[3,5,6,7,8,10,13],[3,5,6,8,9,11,12],[4,5,6,9,10,11,14]]; G[4773]:=Group([(1,11)(3,10)(4,12)(6,13)(7,8)]); # Design 4774: autom. group order 2, simple B[4774]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,8,9,10,13,14],[1,3,5,9,12,13,14],[1,3,7,11,12,13,14],[1,4,5,7,10,13,14],[1,4,6,8,10,11,14],[1,4,7,8,9,11,12],[1,5,6,7,9,10,12],[1,6,7,8,9,11,13],[2,3,6,7,9,11,14],[2,3,7,8,9,10,14],[2,4,5,7,11,13,14],[2,4,6,7,8,12,13],[2,4,6,9,12,13,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,8,9,11,13],[3,4,6,9,10,12,13],[3,4,7,8,10,12,14],[3,5,6,7,8,10,13],[3,5,6,8,11,12,14],[4,5,6,9,10,11,14]]; G[4774]:=Group([(1,11)(3,10)(4,12)(6,13)(7,8)]); # Design 4775: autom. group order 2, simple, residual B[4775]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,8,9,10,13,14],[1,3,5,9,12,13,14],[1,3,7,8,10,11,14],[1,4,5,7,10,13,14],[1,4,6,9,11,12,13],[1,4,7,8,11,12,14],[1,5,6,7,9,10,12],[1,6,7,8,9,11,13],[2,3,6,7,9,11,14],[2,3,7,9,12,13,14],[2,4,5,7,11,13,14],[2,4,6,7,8,12,13],[2,4,6,8,9,10,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,8,9,11,13],[3,4,6,10,12,13,14],[3,4,7,8,9,10,12],[3,5,6,7,8,10,13],[3,5,6,8,11,12,14],[4,5,6,9,10,11,14]]; G[4775]:=Group([(1,11)(3,10)(4,12)(6,13)(7,8)]); # Design 4776: autom. group order 2, simple B[4776]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,8,9,10,13,14],[1,3,5,9,12,13,14],[1,3,7,8,10,11,14],[1,4,5,7,10,13,14],[1,4,6,11,12,13,14],[1,4,7,8,9,11,12],[1,5,6,7,9,10,12],[1,6,7,8,9,11,13],[2,3,6,7,9,11,14],[2,3,7,9,12,13,14],[2,4,5,7,11,13,14],[2,4,6,7,8,12,13],[2,4,6,8,9,10,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,8,9,11,13],[3,4,6,9,10,12,13],[3,4,7,8,10,12,14],[3,5,6,7,8,10,13],[3,5,6,8,11,12,14],[4,5,6,9,10,11,14]]; G[4776]:=Group([(1,11)(3,10)(4,12)(6,13)(7,8)]); # Design 4777: autom. group order 2, simple, residual B[4777]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,6,8,11,14],[1,2,7,9,10,12,14],[1,3,5,9,11,12,13],[1,3,7,8,11,13,14],[1,4,5,10,12,13,14],[1,4,6,10,11,13,14],[1,4,7,8,9,11,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,12],[2,3,6,8,12,13,14],[2,3,8,9,10,13,14],[2,4,5,7,9,13,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,13],[2,5,6,9,10,11,14],[2,5,7,8,10,11,12],[3,4,5,8,10,12,14],[3,4,6,7,9,12,14],[3,4,6,8,9,10,11],[3,5,6,7,11,12,14],[3,5,7,9,10,11,13],[4,5,6,7,8,10,13]]; G[4777]:=Group([(1,12)(3,11)(5,13)(6,8)]); # Design 4778: autom. group order 2, simple, residual B[4778]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,6,8,11,14],[1,2,8,9,10,13,14],[1,3,5,11,12,13,14],[1,3,7,9,11,12,14],[1,4,5,10,12,13,14],[1,4,6,8,9,11,14],[1,4,7,8,9,10,12],[1,5,6,7,9,12,13],[1,6,7,8,10,11,13],[2,3,6,8,12,13,14],[2,3,7,9,10,11,14],[2,4,5,7,9,13,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,13],[2,5,6,9,10,11,12],[2,5,7,8,10,12,14],[3,4,5,8,10,11,13],[3,4,6,7,8,12,14],[3,4,6,9,10,13,14],[3,5,6,8,9,10,12],[3,5,7,8,9,11,13],[4,5,6,7,10,11,14]]; G[4778]:=Group([(1,12)(3,11)(5,13)(7,9)]); # Design 4779: autom. group order 2, simple, residual B[4779]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,6,8,11,14],[1,2,8,9,10,13,14],[1,3,5,11,12,13,14],[1,3,7,9,11,12,14],[1,4,5,10,12,13,14],[1,4,6,8,9,11,14],[1,4,7,8,10,11,13],[1,5,6,7,9,12,13],[1,6,7,8,9,10,12],[2,3,6,8,12,13,14],[2,3,7,9,10,11,14],[2,4,5,7,9,13,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,13],[2,5,6,9,10,11,12],[2,5,7,8,10,12,14],[3,4,5,8,9,10,12],[3,4,6,7,8,12,14],[3,4,6,9,10,13,14],[3,5,6,8,10,11,13],[3,5,7,8,9,11,13],[4,5,6,7,10,11,14]]; G[4779]:=Group([(1,12)(3,11)(5,13)(7,9)]); # Design 4780: autom. group order 2, simple, residual B[4780]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,6,8,10,11],[1,2,8,9,10,13,14],[1,3,5,11,12,13,14],[1,3,7,8,9,12,13],[1,4,5,10,12,13,14],[1,4,6,8,9,12,14],[1,4,7,8,10,11,14],[1,5,6,7,9,11,12],[1,6,7,9,10,11,13],[2,3,6,8,10,12,13],[2,3,7,9,10,11,14],[2,4,5,7,9,13,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,13],[2,5,6,9,10,12,14],[2,5,7,8,11,12,14],[3,4,5,9,10,11,13],[3,4,6,7,10,12,14],[3,4,6,8,9,11,14],[3,5,6,8,11,13,14],[3,5,7,8,9,10,12],[4,5,6,7,8,10,13]]; G[4780]:=Group([(1,12)(3,11)(5,13)(6,8)]); # Design 4781: autom. group order 2, simple, residual B[4781]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,7,11,13],[1,2,7,8,9,10,12],[1,3,5,8,11,12,14],[1,3,7,9,12,13,14],[1,4,5,9,10,12,13],[1,4,6,7,8,9,14],[1,4,7,10,11,13,14],[1,5,6,8,11,12,14],[1,6,8,9,10,11,13],[2,3,6,9,11,12,13],[2,3,7,8,10,11,14],[2,4,5,8,10,13,14],[2,4,6,8,12,13,14],[2,4,7,9,11,12,14],[2,5,6,9,10,12,14],[2,5,7,8,9,11,13],[3,4,5,9,11,13,14],[3,4,6,7,8,12,13],[3,4,6,8,9,10,11],[3,5,6,7,9,10,14],[3,5,7,8,10,12,13],[4,5,6,7,10,11,12]]; G[4781]:=Group([(1,12)(2,13)(4,7)(5,8)(9,10)(11,14)]); # Design 4782: autom. group order 2, simple, residual B[4782]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,7,11,13],[1,2,7,8,9,10,12],[1,3,5,8,11,12,14],[1,3,7,9,12,13,14],[1,4,5,9,10,12,13],[1,4,6,7,8,10,14],[1,4,7,9,11,13,14],[1,5,6,8,11,12,14],[1,6,8,9,10,11,13],[2,3,6,9,11,12,13],[2,3,7,8,9,11,14],[2,4,5,8,9,13,14],[2,4,6,8,12,13,14],[2,4,7,10,11,12,14],[2,5,6,9,10,12,14],[2,5,7,8,10,11,13],[3,4,5,10,11,13,14],[3,4,6,7,8,12,13],[3,4,6,8,9,10,11],[3,5,6,7,9,10,14],[3,5,7,8,10,12,13],[4,5,6,7,9,11,12]]; G[4782]:=Group([(1,12)(2,13)(4,7)(5,8)(9,10)(11,14)]); # Design 4783: autom. group order 2, simple, residual B[4783]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,7,10,13],[1,2,7,9,10,11,14],[1,3,5,9,11,12,13],[1,3,7,8,10,12,14],[1,4,5,10,11,13,14],[1,4,6,9,12,13,14],[1,4,7,8,12,13,14],[1,5,6,8,9,11,12],[1,6,7,8,9,10,11],[2,3,6,9,10,12,14],[2,3,7,8,11,12,13],[2,4,5,7,9,12,14],[2,4,6,10,11,12,13],[2,4,7,8,9,11,13],[2,5,6,8,11,12,14],[2,5,8,9,10,13,14],[3,4,5,8,10,11,14],[3,4,6,7,9,11,14],[3,4,6,8,9,10,13],[3,5,6,7,11,13,14],[3,5,7,9,10,12,13],[4,5,6,7,8,10,12]]; G[4783]:=Group([(2,14)(3,13)(5,12)(6,8)]); # Design 4784: autom. group order 2, simple, residual B[4784]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,7,10,11],[1,2,7,9,10,12,13],[1,3,5,9,11,12,14],[1,3,7,8,11,13,14],[1,4,5,10,12,13,14],[1,4,6,10,11,13,14],[1,4,7,8,9,11,13],[1,5,6,8,9,12,14],[1,6,7,8,9,10,12],[2,3,6,9,10,13,14],[2,3,7,8,10,12,14],[2,4,5,7,9,13,14],[2,4,6,9,11,12,14],[2,4,7,8,11,12,14],[2,5,6,8,11,12,13],[2,5,8,9,10,11,13],[3,4,5,8,10,12,13],[3,4,6,7,9,12,13],[3,4,6,8,9,10,11],[3,5,6,7,11,12,13],[3,5,7,9,10,11,14],[4,5,6,7,8,10,14]]; G[4784]:=Group([(1,12)(3,11)(5,14)(6,8)]); # Design 4785: autom. group order 2, simple, residual B[4785]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,7,11,14],[1,2,7,9,10,12,14],[1,3,5,11,12,13,14],[1,3,7,8,9,11,13],[1,4,5,9,10,12,13],[1,4,6,8,9,12,14],[1,4,7,8,10,11,14],[1,5,6,8,12,13,14],[1,6,7,9,10,11,13],[2,3,6,9,10,13,14],[2,3,7,8,12,13,14],[2,4,5,7,9,13,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,13],[2,5,6,8,10,11,12],[2,5,8,9,10,11,14],[3,4,5,10,11,13,14],[3,4,6,7,10,12,14],[3,4,6,8,9,11,14],[3,5,6,7,9,11,12],[3,5,7,8,9,10,12],[4,5,6,7,8,10,13]]; G[4785]:=Group([(1,12)(3,11)(5,13)(6,8)]); # Design 4786: autom. group order 2, simple, residual B[4786]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,7,11,14],[1,2,7,8,9,13,14],[1,3,5,10,12,13,14],[1,3,7,8,11,12,14],[1,4,5,9,10,11,13],[1,4,6,8,12,13,14],[1,4,7,9,10,11,14],[1,5,6,9,11,12,13],[1,6,7,8,9,10,12],[2,3,6,9,11,13,14],[2,3,7,9,10,12,13],[2,4,5,7,12,13,14],[2,4,6,8,9,11,12],[2,4,8,10,11,13,14],[2,5,6,9,10,12,14],[2,5,7,8,10,11,12],[3,4,5,8,9,12,14],[3,4,6,7,9,10,14],[3,4,6,7,11,12,13],[3,5,6,8,10,11,14],[3,5,7,8,9,11,13],[4,5,6,7,8,10,13]]; G[4786]:=Group([(1,4)(2,10)(3,11)(5,9)(6,14)(8,13)]); # Design 4787: autom. group order 2, simple B[4787]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,7,11,14],[1,2,7,8,9,13,14],[1,3,5,11,12,13,14],[1,3,7,8,10,12,14],[1,4,5,9,10,11,13],[1,4,6,8,12,13,14],[1,4,7,9,10,11,14],[1,5,6,9,10,12,13],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,9,10,12,13],[2,4,5,8,9,12,14],[2,4,6,7,11,12,13],[2,4,8,10,11,13,14],[2,5,6,9,10,12,14],[2,5,7,8,10,11,12],[3,4,5,7,12,13,14],[3,4,6,7,9,10,14],[3,4,6,8,9,11,12],[3,5,6,8,10,11,14],[3,5,7,8,9,11,13],[4,5,6,7,8,10,13]]; G[4787]:=Group([(1,4)(2,10)(3,11)(5,9)(6,14)(8,13)]); # Design 4788: autom. group order 2, simple, residual B[4788]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,7,10,13],[1,2,7,8,9,11,12],[1,3,5,9,11,13,14],[1,3,7,10,12,13,14],[1,4,5,9,10,11,14],[1,4,6,8,10,12,14],[1,4,7,8,9,12,13],[1,5,6,8,11,12,14],[1,6,7,9,10,11,13],[2,3,6,9,10,11,12],[2,3,7,8,10,11,14],[2,4,5,10,12,13,14],[2,4,6,9,11,13,14],[2,4,7,8,11,13,14],[2,5,6,7,9,12,14],[2,5,8,9,10,12,13],[3,4,5,7,11,12,13],[3,4,6,7,9,12,14],[3,4,6,8,9,10,13],[3,5,6,8,11,12,13],[3,5,7,8,9,10,14],[4,5,6,7,8,10,11]]; G[4788]:=Group([(1,14)(3,13)(5,11)(6,8)]); # Design 4789: autom. group order 2, simple, residual B[4789]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,7,10,13],[1,2,7,8,9,11,12],[1,3,5,11,12,13,14],[1,3,7,9,11,13,14],[1,4,5,9,10,12,14],[1,4,6,8,9,10,14],[1,4,7,8,10,11,13],[1,5,6,8,11,12,14],[1,6,7,9,10,12,13],[2,3,6,9,10,11,12],[2,3,7,8,10,12,14],[2,4,5,10,11,13,14],[2,4,6,9,12,13,14],[2,4,7,8,12,13,14],[2,5,6,7,9,11,14],[2,5,8,9,10,11,13],[3,4,5,7,9,12,13],[3,4,6,7,10,11,14],[3,4,6,8,9,11,13],[3,5,6,8,10,12,13],[3,5,7,8,9,10,14],[4,5,6,7,8,11,12]]; G[4789]:=Group([(1,14)(3,13)(5,12)(6,8)]); # Design 4790: autom. group order 2, simple B[4790]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,7,10,13],[1,2,7,8,9,11,12],[1,3,5,11,12,13,14],[1,3,7,9,11,13,14],[1,4,5,9,10,12,14],[1,4,6,8,9,11,14],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,9,10,12,13],[2,3,6,9,10,11,12],[2,3,7,8,10,12,14],[2,4,5,10,11,13,14],[2,4,6,9,12,13,14],[2,4,7,8,12,13,14],[2,5,6,7,9,11,14],[2,5,8,9,10,11,13],[3,4,5,7,9,12,13],[3,4,6,7,10,11,14],[3,4,6,8,9,10,13],[3,5,6,8,11,12,13],[3,5,7,8,9,10,14],[4,5,6,7,8,11,12]]; G[4790]:=Group([(1,14)(3,13)(5,12)(6,8)]); # Design 4791: autom. group order 2, simple B[4791]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,7,10,13],[1,2,8,9,10,11,12],[1,3,5,9,11,13,14],[1,3,7,10,12,13,14],[1,4,5,7,11,12,14],[1,4,6,9,10,11,13],[1,4,7,8,9,12,13],[1,5,6,8,11,12,14],[1,6,7,8,9,10,14],[2,3,6,7,9,11,12],[2,3,7,8,10,11,14],[2,4,5,10,12,13,14],[2,4,6,9,11,13,14],[2,4,7,8,11,13,14],[2,5,6,9,10,12,14],[2,5,7,8,9,12,13],[3,4,5,8,9,10,14],[3,4,6,7,9,12,14],[3,4,6,8,10,12,13],[3,5,6,8,11,12,13],[3,5,7,9,10,11,13],[4,5,6,7,8,10,11]]; G[4791]:=Group([(1,14)(3,13)(5,11)(6,8)]); # Design 4792: autom. group order 2, simple, residual B[4792]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,7,10,13],[1,2,8,9,10,11,12],[1,3,5,11,12,13,14],[1,3,7,9,11,13,14],[1,4,5,7,9,12,14],[1,4,6,9,10,12,13],[1,4,7,8,10,11,13],[1,5,6,8,11,12,14],[1,6,7,8,9,10,14],[2,3,6,7,9,11,12],[2,3,7,8,10,12,14],[2,4,5,10,11,13,14],[2,4,6,9,12,13,14],[2,4,7,8,12,13,14],[2,5,6,9,10,11,14],[2,5,7,8,9,11,13],[3,4,5,8,9,10,14],[3,4,6,7,10,11,14],[3,4,6,8,9,11,13],[3,5,6,8,10,12,13],[3,5,7,9,10,12,13],[4,5,6,7,8,11,12]]; G[4792]:=Group([(1,14)(3,13)(5,12)(6,8)]); # Design 4793: autom. group order 2, simple, residual B[4793]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,7,10,13],[1,2,8,9,10,11,12],[1,3,5,11,12,13,14],[1,3,7,9,10,13,14],[1,4,5,7,11,12,14],[1,4,6,9,10,11,13],[1,4,7,8,9,12,13],[1,5,6,8,9,11,14],[1,6,7,8,10,12,14],[2,3,6,7,9,11,12],[2,3,7,8,10,11,14],[2,4,5,10,12,13,14],[2,4,6,9,11,13,14],[2,4,7,8,11,13,14],[2,5,6,9,10,12,14],[2,5,7,8,9,12,13],[3,4,5,8,9,10,14],[3,4,6,7,9,12,14],[3,4,6,8,10,12,13],[3,5,6,8,11,12,13],[3,5,7,9,10,11,13],[4,5,6,7,8,10,11]]; G[4793]:=Group([(1,14)(3,13)(5,11)(6,8)]); # Design 4794: autom. group order 2, simple, residual B[4794]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,7,10,13],[1,2,8,9,10,11,12],[1,3,5,9,11,13,14],[1,3,7,10,12,13,14],[1,4,5,7,11,12,14],[1,4,6,8,9,10,14],[1,4,7,8,9,12,13],[1,5,6,8,11,12,14],[1,6,7,9,10,11,13],[2,3,6,7,9,11,12],[2,3,7,8,10,11,14],[2,4,5,10,12,13,14],[2,4,6,9,11,13,14],[2,4,7,8,11,13,14],[2,5,6,9,10,12,14],[2,5,7,8,9,12,13],[3,4,5,9,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,10,12,13],[3,5,6,8,11,12,13],[3,5,7,8,9,10,14],[4,5,6,7,8,10,11]]; G[4794]:=Group([(1,14)(3,13)(5,11)(6,8)]); # Design 4795: autom. group order 2, simple B[4795]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,7,10,13],[1,2,8,9,10,11,12],[1,3,5,11,12,13,14],[1,3,7,9,11,13,14],[1,4,5,7,9,12,14],[1,4,6,8,9,10,14],[1,4,7,8,10,11,13],[1,5,6,8,11,12,14],[1,6,7,9,10,12,13],[2,3,6,7,9,11,12],[2,3,7,8,10,12,14],[2,4,5,10,11,13,14],[2,4,6,9,12,13,14],[2,4,7,8,12,13,14],[2,5,6,9,10,11,14],[2,5,7,8,9,11,13],[3,4,5,9,10,12,13],[3,4,6,7,10,11,14],[3,4,6,8,9,11,13],[3,5,6,8,10,12,13],[3,5,7,8,9,10,14],[4,5,6,7,8,11,12]]; G[4795]:=Group([(1,14)(3,13)(5,12)(6,8)]); # Design 4796: autom. group order 2, simple, residual B[4796]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,7,10,13],[1,2,8,9,10,11,12],[1,3,5,11,12,13,14],[1,3,7,9,11,13,14],[1,4,5,7,9,12,14],[1,4,6,8,9,11,14],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,9,10,12,13],[2,3,6,7,9,11,12],[2,3,7,8,10,12,14],[2,4,5,10,11,13,14],[2,4,6,9,12,13,14],[2,4,7,8,12,13,14],[2,5,6,9,10,11,14],[2,5,7,8,9,11,13],[3,4,5,9,10,12,13],[3,4,6,7,10,11,14],[3,4,6,8,9,10,13],[3,5,6,8,11,12,13],[3,5,7,8,9,10,14],[4,5,6,7,8,11,12]]; G[4796]:=Group([(1,14)(3,13)(5,12)(6,8)]); # Design 4797: autom. group order 2, simple, residual B[4797]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,7,10,11],[1,2,8,9,10,13,14],[1,3,5,11,12,13,14],[1,3,7,9,11,12,13],[1,4,5,10,12,13,14],[1,4,6,8,9,11,13],[1,4,7,8,9,10,12],[1,5,6,7,9,12,14],[1,6,7,8,10,11,14],[2,3,6,9,10,12,14],[2,3,7,9,10,11,13],[2,4,5,7,9,13,14],[2,4,6,9,11,12,14],[2,4,7,8,11,12,14],[2,5,6,8,11,12,13],[2,5,7,8,10,12,13],[3,4,5,8,10,11,14],[3,4,6,7,8,12,13],[3,4,6,7,10,13,14],[3,5,6,8,9,10,12],[3,5,7,8,9,11,14],[4,5,6,9,10,11,13]]; G[4797]:=Group([(1,12)(3,11)(5,14)(7,9)]); # Design 4798: autom. group order 2, simple, residual B[4798]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,7,10,11],[1,2,8,9,10,13,14],[1,3,5,11,12,13,14],[1,3,7,9,11,12,13],[1,4,5,10,12,13,14],[1,4,6,8,9,11,13],[1,4,7,8,10,11,14],[1,5,6,7,9,12,14],[1,6,7,8,9,10,12],[2,3,6,9,10,12,14],[2,3,7,9,10,11,13],[2,4,5,7,9,13,14],[2,4,6,9,11,12,14],[2,4,7,8,11,12,14],[2,5,6,8,11,12,13],[2,5,7,8,10,12,13],[3,4,5,8,9,10,12],[3,4,6,7,8,12,13],[3,4,6,7,10,13,14],[3,5,6,8,10,11,14],[3,5,7,8,9,11,14],[4,5,6,9,10,11,13]]; G[4798]:=Group([(1,12)(3,11)(5,14)(7,9)]); # Design 4799: autom. group order 2, simple B[4799]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,7,12,14],[1,2,8,10,11,13,14],[1,3,5,9,12,13,14],[1,3,7,8,9,10,14],[1,4,5,9,11,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,12,13],[1,5,6,7,8,11,13],[1,6,7,8,9,11,12],[2,3,6,8,9,12,13],[2,3,7,8,9,11,14],[2,4,5,8,11,12,14],[2,4,6,7,9,10,14],[2,4,7,9,11,12,13],[2,5,6,9,10,13,14],[2,5,7,8,10,12,13],[3,4,5,7,8,10,13],[3,4,6,7,11,13,14],[3,4,6,8,12,13,14],[3,5,6,9,10,11,12],[3,5,7,10,11,12,14],[4,5,6,8,9,10,11]]; G[4799]:=Group([(1,10)(2,11)(4,12)(7,9)(8,14)]); # Design 4800: autom. group order 2, simple, residual B[4800]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,7,12,14],[1,2,8,10,12,13,14],[1,3,5,9,11,13,14],[1,3,7,8,9,11,14],[1,4,5,8,10,13,14],[1,4,6,9,11,12,14],[1,4,7,8,11,12,13],[1,5,6,7,9,10,13],[1,6,7,8,9,10,12],[2,3,6,8,9,12,13],[2,3,7,8,9,10,14],[2,4,5,9,10,12,14],[2,4,6,7,8,11,14],[2,4,7,9,10,11,13],[2,5,6,8,11,13,14],[2,5,7,9,11,12,13],[3,4,5,7,8,12,13],[3,4,6,7,10,13,14],[3,4,6,9,12,13,14],[3,5,6,8,10,11,12],[3,5,7,10,11,12,14],[4,5,6,8,9,10,11]]; G[4800]:=Group([(1,11)(2,10)(4,12)(7,8)(9,14)]); # Design 4801: autom. group order 2, simple, residual B[4801]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,7,12,14],[1,2,8,9,10,12,13],[1,3,5,8,12,13,14],[1,3,7,8,9,10,14],[1,4,5,8,11,13,14],[1,4,6,9,10,12,14],[1,4,7,10,11,13,14],[1,5,6,7,9,11,13],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,8,9,11,14],[2,4,5,9,11,12,14],[2,4,6,7,8,10,14],[2,4,7,8,11,12,13],[2,5,6,8,10,13,14],[2,5,7,9,10,12,13],[3,4,5,7,9,10,13],[3,4,6,7,8,12,13],[3,4,6,9,12,13,14],[3,5,6,8,10,11,12],[3,5,7,10,11,12,14],[4,5,6,8,9,10,11]]; G[4801]:=Group([(1,10)(2,11)(4,12)(7,8)(9,14)]); # Design 4802: autom. group order 2, simple, residual B[4802]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,7,10,12,13,14],[1,3,5,7,9,12,13],[1,3,7,8,9,10,14],[1,4,5,7,11,13,14],[1,4,6,9,10,12,14],[1,4,8,9,10,11,13],[1,5,6,8,11,13,14],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,8,9,11,14],[2,4,5,9,11,12,14],[2,4,6,7,8,10,14],[2,4,7,8,11,12,13],[2,5,6,7,9,10,13],[2,5,8,9,10,12,13],[3,4,5,8,10,13,14],[3,4,6,7,8,12,13],[3,4,6,9,12,13,14],[3,5,6,8,10,11,12],[3,5,7,10,11,12,14],[4,5,6,7,9,10,11]]; G[4802]:=Group([(1,10)(2,11)(4,12)(7,8)(9,14)]); # Design 4803: autom. group order 2, simple B[4803]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,11,12,14],[1,3,5,7,12,13,14],[1,3,7,9,10,11,12],[1,4,5,7,9,13,14],[1,4,6,9,11,12,13],[1,4,8,10,11,13,14],[1,5,6,8,9,10,12],[1,6,7,8,9,10,14],[2,3,6,8,9,12,14],[2,3,7,8,9,11,13],[2,4,5,9,10,12,14],[2,4,6,7,10,12,13],[2,4,7,8,9,10,13],[2,5,6,7,10,11,14],[2,5,9,11,12,13,14],[3,4,5,8,10,11,14],[3,4,6,7,9,11,14],[3,4,6,8,12,13,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,7,8,11,12]]; G[4803]:=Group([(1,14)(3,12)(4,9)(6,11)(7,13)(8,10)]); # Design 4804: autom. group order 2, simple, residual B[4804]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,11,12,14],[1,2,7,9,11,12,13],[1,3,5,7,10,13,14],[1,3,7,8,11,13,14],[1,4,5,8,9,11,14],[1,4,6,10,12,13,14],[1,4,7,8,9,10,12],[1,5,6,7,9,12,13],[1,6,8,9,10,11,14],[2,3,6,7,9,11,14],[2,3,8,9,12,13,14],[2,4,5,10,11,13,14],[2,4,6,7,8,12,14],[2,4,7,9,10,11,13],[2,5,6,8,9,10,13],[2,5,7,8,10,12,14],[3,4,5,9,12,13,14],[3,4,6,7,9,10,14],[3,4,6,8,11,12,13],[3,5,6,9,10,11,12],[3,5,7,8,10,11,12],[4,5,6,7,8,11,13]]; G[4804]:=Group([(1,12)(2,11)(4,10)(7,9)]); # Design 4805: autom. group order 2, simple, residual B[4805]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,12,13,14],[1,2,7,8,10,11,14],[1,3,5,7,12,13,14],[1,3,7,9,10,13,14],[1,4,5,8,9,10,13],[1,4,6,9,11,12,14],[1,4,7,8,11,12,14],[1,5,6,7,8,9,11],[1,6,8,9,10,12,13],[2,3,6,8,9,12,14],[2,3,8,9,11,13,14],[2,4,5,9,10,12,14],[2,4,6,7,9,11,13],[2,4,7,8,10,12,13],[2,5,6,7,8,10,14],[2,5,7,9,11,12,13],[3,4,5,8,11,13,14],[3,4,6,7,8,12,13],[3,4,6,7,9,10,14],[3,5,6,8,10,11,12],[3,5,7,9,10,11,12],[4,5,6,10,11,13,14]]; G[4805]:=Group([(1,11)(2,10)(4,12)(7,8)]); # Design 4806: autom. group order 2, simple B[4806]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,7,9,10,11,14],[1,3,5,7,12,13,14],[1,3,7,8,10,13,14],[1,4,5,8,9,10,13],[1,4,6,11,12,13,14],[1,4,7,8,9,11,12],[1,5,6,7,9,11,14],[1,6,8,9,10,12,13],[2,3,6,8,9,12,14],[2,3,8,9,11,13,14],[2,4,5,10,12,13,14],[2,4,6,7,8,11,13],[2,4,7,9,10,12,14],[2,5,6,7,9,10,13],[2,5,7,8,11,12,13],[3,4,5,9,11,13,14],[3,4,6,7,8,10,14],[3,4,6,7,9,12,13],[3,5,6,9,10,11,12],[3,5,7,8,10,11,12],[4,5,6,8,10,11,14]]; G[4806]:=Group([(1,11)(2,10)(4,12)(7,9)]); # Design 4807: autom. group order 2, simple B[4807]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,9,10,12,13],[1,3,5,7,11,12,14],[1,3,7,8,11,13,14],[1,4,5,9,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,9,10,11],[1,5,6,8,10,12,14],[1,6,7,8,9,12,13],[2,3,6,7,9,10,14],[2,3,8,9,10,12,14],[2,4,5,7,9,13,14],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,6,8,9,11,12],[2,5,7,8,10,11,13],[3,4,5,8,10,12,13],[3,4,6,7,10,12,13],[3,4,6,8,9,11,13],[3,5,6,7,9,11,12],[3,5,9,10,11,13,14],[4,5,6,7,8,10,14]]; G[4807]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 4808: autom. group order 2, simple B[4808]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,10,11,14],[1,3,5,7,11,12,13],[1,3,7,9,11,12,14],[1,4,5,8,10,12,14],[1,4,6,8,9,11,14],[1,4,7,8,10,13,14],[1,5,6,9,10,12,13],[1,6,7,8,9,12,13],[2,3,6,8,9,12,14],[2,3,7,8,9,10,13],[2,4,5,7,9,13,14],[2,4,6,11,12,13,14],[2,4,7,8,11,12,13],[2,5,6,7,10,12,14],[2,5,8,9,10,11,12],[3,4,5,9,12,13,14],[3,4,6,7,8,10,12],[3,4,6,9,10,11,13],[3,5,6,7,8,11,14],[3,5,8,10,11,13,14],[4,5,6,7,9,10,11]]; G[4808]:=Group([(1,11)(3,12)(5,13)(6,8)(9,14)]); # Design 4809: autom. group order 2, simple B[4809]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,10,12,13],[1,3,5,7,11,12,14],[1,3,7,8,9,11,14],[1,4,5,9,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,12,13],[2,3,6,8,9,12,14],[2,3,7,8,10,13,14],[2,4,5,7,9,13,14],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,6,7,9,10,11],[2,5,8,9,10,11,12],[3,4,5,8,10,12,13],[3,4,6,7,9,10,12],[3,4,6,8,9,11,13],[3,5,6,7,11,12,13],[3,5,9,10,11,13,14],[4,5,6,7,8,10,14]]; G[4809]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 4810: autom. group order 2, simple, residual B[4810]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,11,12,14],[1,2,7,9,11,12,13],[1,3,5,7,10,13,14],[1,3,7,8,9,11,14],[1,4,5,8,11,13,14],[1,4,6,9,10,12,14],[1,4,7,9,10,12,13],[1,5,6,8,9,12,13],[1,6,7,8,10,11,14],[2,3,6,9,10,13,14],[2,3,7,8,9,12,14],[2,4,5,9,10,11,14],[2,4,6,7,8,12,14],[2,4,7,8,10,11,13],[2,5,6,7,9,11,13],[2,5,8,10,12,13,14],[3,4,5,7,12,13,14],[3,4,6,8,11,12,13],[3,4,6,9,11,13,14],[3,5,6,7,10,11,12],[3,5,8,9,10,11,12],[4,5,6,7,8,9,10]]; G[4810]:=Group([(1,12)(2,11)(4,10)]); # Design 4811: autom. group order 2, simple B[4811]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,11,13,14],[1,3,5,7,8,10,14],[1,3,7,9,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,13],[1,5,6,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,9,10,12,13],[2,3,7,8,9,11,12],[2,4,5,9,10,12,14],[2,4,6,7,8,12,13],[2,4,8,10,11,13,14],[2,5,6,7,9,11,14],[2,5,7,8,10,12,14],[3,4,5,7,11,12,13],[3,4,6,7,10,11,14],[3,4,6,8,9,11,14],[3,5,6,8,12,13,14],[3,5,8,9,10,11,13],[4,5,6,7,9,10,13]]; G[4811]:=Group([(2,11)(3,12)(4,10)(5,6)(7,9)]); # Design 4812: autom. group order 2, simple B[4812]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,11,13,14],[1,3,5,7,8,10,14],[1,3,7,9,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,13],[1,5,6,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,9,10,12,13],[2,3,7,8,9,11,12],[2,4,5,9,10,12,14],[2,4,6,7,8,12,14],[2,4,8,10,11,13,14],[2,5,6,7,9,11,14],[2,5,7,8,10,12,13],[3,4,5,7,11,12,13],[3,4,6,7,10,11,14],[3,4,6,8,9,11,13],[3,5,6,8,12,13,14],[3,5,8,9,10,11,14],[4,5,6,7,9,10,13]]; G[4812]:=Group([(2,11)(3,12)(4,10)(5,6)(7,9)]); # Design 4813: autom. group order 2, simple B[4813]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,11,12,14],[1,2,7,8,9,13,14],[1,3,5,7,11,13,14],[1,3,7,8,10,12,14],[1,4,5,9,10,11,13],[1,4,6,8,12,13,14],[1,4,7,9,10,11,14],[1,5,6,9,10,12,13],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,9,10,12,13],[2,4,5,8,9,12,14],[2,4,6,7,11,12,13],[2,4,8,10,11,13,14],[2,5,6,7,9,10,14],[2,5,7,8,10,11,12],[3,4,5,7,12,13,14],[3,4,6,7,8,9,11],[3,4,6,9,10,12,14],[3,5,6,8,10,11,14],[3,5,8,9,11,12,13],[4,5,6,7,8,10,13]]; G[4813]:=Group([(1,4)(2,10)(3,11)(5,9)(6,14)(8,13)]); # Design 4814: autom. group order 2, simple B[4814]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,11,13,14],[1,3,5,7,8,10,14],[1,3,7,8,9,12,13],[1,4,5,11,12,13,14],[1,4,6,8,9,12,14],[1,4,7,9,10,13,14],[1,5,6,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,9,10,12,14],[2,3,8,11,12,13,14],[2,4,5,9,10,12,13],[2,4,6,7,8,12,14],[2,4,7,8,9,10,11],[2,5,6,7,9,11,14],[2,5,7,8,10,12,13],[3,4,5,7,11,12,14],[3,4,6,7,10,11,13],[3,4,6,8,9,11,13],[3,5,6,7,9,12,13],[3,5,8,9,10,11,14],[4,5,6,8,10,13,14]]; G[4814]:=Group([(2,11)(3,12)(4,10)(5,6)(7,9)]); # Design 4815: autom. group order 2, simple B[4815]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,11,12,13],[1,2,7,8,9,10,13],[1,3,5,7,8,11,14],[1,3,9,11,12,13,14],[1,4,5,7,10,12,14],[1,4,6,8,11,13,14],[1,4,7,9,10,12,13],[1,5,6,8,9,10,14],[1,6,7,8,9,11,12],[2,3,6,7,8,12,13],[2,3,7,9,10,11,14],[2,4,5,9,11,13,14],[2,4,6,8,9,10,11],[2,4,7,8,11,12,14],[2,5,6,7,9,12,14],[2,5,8,10,12,13,14],[3,4,5,8,9,12,13],[3,4,6,7,9,13,14],[3,4,6,8,10,12,14],[3,5,6,9,10,11,12],[3,5,7,8,10,11,13],[4,5,6,7,10,11,13]]; G[4815]:=Group([(1,4)(2,12)(3,10)(5,7)(6,14)(8,13)]); # Design 4816: autom. group order 2, simple B[4816]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,10,12,13],[1,3,5,7,9,12,14],[1,3,8,11,12,13,14],[1,4,5,7,10,11,14],[1,4,6,9,12,13,14],[1,4,7,8,10,11,13],[1,5,6,8,9,10,14],[1,6,7,8,9,11,12],[2,3,6,7,9,11,13],[2,3,7,8,10,12,14],[2,4,5,8,12,13,14],[2,4,6,8,9,10,12],[2,4,7,8,9,11,14],[2,5,6,7,11,12,14],[2,5,9,10,11,13,14],[3,4,5,9,11,12,13],[3,4,6,7,8,13,14],[3,4,6,9,10,11,14],[3,5,6,8,10,11,12],[3,5,7,8,9,10,13],[4,5,6,7,10,12,13]]; G[4816]:=Group([(1,4)(2,11)(3,10)(5,7)(6,14)(9,13)]); # Design 4817: autom. group order 2, simple, residual B[4817]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,9,10,12,13],[1,3,5,7,10,11,14],[1,3,8,9,10,12,14],[1,4,5,7,9,13,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,14],[1,5,6,8,9,11,12],[1,6,7,8,9,10,13],[2,3,6,7,9,12,14],[2,3,7,8,11,13,14],[2,4,5,9,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,9,10,11],[2,5,6,8,10,12,14],[2,5,7,8,11,12,13],[3,4,5,8,10,12,13],[3,4,6,7,10,12,13],[3,4,6,8,9,11,13],[3,5,6,7,9,11,12],[3,5,9,10,11,13,14],[4,5,6,7,8,10,14]]; G[4817]:=Group([(2,12)(3,11)(5,14)(6,8)(9,13)]); # Design 4818: autom. group order 2, simple, residual B[4818]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,9,10,13],[1,2,7,8,9,11,12],[1,3,5,7,11,13,14],[1,3,9,10,12,13,14],[1,4,5,7,10,11,14],[1,4,6,8,10,12,14],[1,4,7,8,9,12,13],[1,5,6,8,11,12,14],[1,6,7,9,10,11,13],[2,3,6,7,10,11,12],[2,3,8,9,10,11,14],[2,4,5,10,12,13,14],[2,4,6,9,11,13,14],[2,4,7,8,11,13,14],[2,5,6,7,9,12,14],[2,5,7,8,10,12,13],[3,4,5,9,11,12,13],[3,4,6,7,8,10,13],[3,4,6,7,9,12,14],[3,5,6,8,11,12,13],[3,5,7,8,9,10,14],[4,5,6,8,9,10,11]]; G[4818]:=Group([(1,14)(3,13)(5,11)(6,8)]); # Design 4819: autom. group order 2, simple, residual B[4819]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,9,10,13,14],[1,3,5,7,10,12,13],[1,3,8,9,10,12,14],[1,4,5,7,9,11,14],[1,4,6,9,11,12,13],[1,4,7,8,12,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,10,11],[2,3,6,9,11,12,14],[2,3,7,8,11,12,13],[2,4,5,9,12,13,14],[2,4,6,7,8,10,14],[2,4,8,9,10,11,13],[2,5,6,7,8,9,12],[2,5,7,10,11,12,14],[3,4,5,8,10,11,14],[3,4,6,7,9,10,12],[3,4,6,7,11,13,14],[3,5,6,9,10,13,14],[3,5,7,8,9,11,13],[4,5,6,8,10,12,13]]; G[4819]:=Group([(1,13)(2,7)(4,11)(5,8)(6,12)(10,14)]); # Design 4820: autom. group order 2, simple, residual B[4820]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,9,10,13],[1,3,5,7,11,12,14],[1,3,8,9,10,11,14],[1,4,5,8,12,13,14],[1,4,6,7,9,11,12],[1,4,7,10,11,13,14],[1,5,6,9,12,13,14],[1,6,7,8,9,10,12],[2,3,6,7,8,12,14],[2,3,7,9,12,13,14],[2,4,5,7,9,10,14],[2,4,6,9,11,13,14],[2,4,7,8,11,12,13],[2,5,6,9,10,11,12],[2,5,8,10,11,12,14],[3,4,5,9,10,12,13],[3,4,6,8,9,11,14],[3,4,6,8,10,12,13],[3,5,6,7,10,11,13],[3,5,7,8,9,11,13],[4,5,6,7,8,10,14]]; G[4820]:=Group([(1,11)(3,12)(4,10)(6,8)(7,14)]); # Design 4821: autom. group order 2, simple B[4821]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,9,10,13],[1,2,7,8,10,11,12],[1,3,5,7,11,13,14],[1,3,9,10,12,13,14],[1,4,5,9,11,12,14],[1,4,6,7,10,11,13],[1,4,7,8,9,12,13],[1,5,6,8,11,12,14],[1,6,7,8,9,10,14],[2,3,6,7,9,11,12],[2,3,8,9,10,11,14],[2,4,5,10,12,13,14],[2,4,6,9,11,13,14],[2,4,7,8,11,13,14],[2,5,6,7,10,12,14],[2,5,7,8,9,12,13],[3,4,5,7,8,10,14],[3,4,6,7,9,12,14],[3,4,6,8,10,12,13],[3,5,6,8,11,12,13],[3,5,7,9,10,11,13],[4,5,6,8,9,10,11]]; G[4821]:=Group([(1,14)(3,13)(5,11)(6,8)]); # Design 4822: autom. group order 2, simple, residual B[4822]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,9,10,13],[1,2,7,8,10,11,12],[1,3,5,7,11,13,14],[1,3,9,10,12,13,14],[1,4,5,9,11,12,14],[1,4,6,7,8,10,14],[1,4,7,8,9,12,13],[1,5,6,8,11,12,14],[1,6,7,9,10,11,13],[2,3,6,7,9,11,12],[2,3,8,9,10,11,14],[2,4,5,10,12,13,14],[2,4,6,9,11,13,14],[2,4,7,8,11,13,14],[2,5,6,7,10,12,14],[2,5,7,8,9,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,10,12,13],[3,5,6,8,11,12,13],[3,5,7,8,9,10,14],[4,5,6,8,9,10,11]]; G[4822]:=Group([(1,14)(3,13)(5,11)(6,8)]); # Design 4823: autom. group order 2, simple B[4823]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,11,13,14],[1,3,5,7,11,12,14],[1,3,8,9,10,12,14],[1,4,5,9,12,13,14],[1,4,6,8,9,10,11],[1,4,7,8,10,12,13],[1,5,6,7,10,12,13],[1,6,7,8,9,11,14],[2,3,6,7,8,12,14],[2,3,7,8,9,10,13],[2,4,5,7,9,10,14],[2,4,6,9,12,13,14],[2,4,7,8,11,12,13],[2,5,6,9,10,11,12],[2,5,8,10,11,12,14],[3,4,5,8,11,13,14],[3,4,6,7,9,11,12],[3,4,6,10,11,13,14],[3,5,6,8,9,12,13],[3,5,7,9,10,11,13],[4,5,6,7,8,10,14]]; G[4823]:=Group([(1,11)(3,12)(4,10)(6,8)(7,14)]); # Design 4824: autom. group order 2, simple, residual B[4824]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,13,14],[1,2,7,9,11,13,14],[1,3,5,7,11,12,13],[1,3,8,10,11,12,14],[1,4,5,8,9,12,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,13],[1,5,6,7,9,10,11],[1,6,7,8,10,12,14],[2,3,6,7,9,10,12],[2,3,7,8,9,11,14],[2,4,5,7,10,12,14],[2,4,6,9,11,12,14],[2,4,7,8,10,11,13],[2,5,6,8,11,12,13],[2,5,8,9,10,12,13],[3,4,5,10,11,13,14],[3,4,6,7,8,12,13],[3,4,6,9,10,13,14],[3,5,6,8,9,10,11],[3,5,7,9,12,13,14],[4,5,6,7,8,11,14]]; G[4824]:=Group([(2,14)(3,8)(4,12)(5,10)(9,11)]); # Design 4825: autom. group order 2, simple, residual B[4825]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,9,10,13],[1,2,7,9,10,11,14],[1,3,5,7,11,12,13],[1,3,8,9,10,12,14],[1,4,5,10,11,13,14],[1,4,6,9,12,13,14],[1,4,7,8,12,13,14],[1,5,6,7,8,11,12],[1,6,7,8,9,10,11],[2,3,6,7,10,12,14],[2,3,8,9,11,12,13],[2,4,5,7,9,12,14],[2,4,6,10,11,12,13],[2,4,7,8,9,11,13],[2,5,6,8,11,12,14],[2,5,7,8,10,13,14],[3,4,5,8,10,11,14],[3,4,6,7,8,10,13],[3,4,6,7,9,11,14],[3,5,6,9,11,13,14],[3,5,7,9,10,12,13],[4,5,6,8,9,10,12]]; G[4825]:=Group([(2,14)(3,13)(5,12)(6,8)]); # Design 4826: autom. group order 2, simple, residual B[4826]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,9,10,11],[1,2,7,9,10,12,13],[1,3,5,7,11,12,14],[1,3,8,9,11,13,14],[1,4,5,10,12,13,14],[1,4,6,10,11,13,14],[1,4,7,8,9,11,13],[1,5,6,7,8,12,14],[1,6,7,8,9,10,12],[2,3,6,7,10,13,14],[2,3,8,9,10,12,14],[2,4,5,7,9,13,14],[2,4,6,9,11,12,14],[2,4,7,8,11,12,14],[2,5,6,8,11,12,13],[2,5,7,8,10,11,13],[3,4,5,8,10,12,13],[3,4,6,7,8,10,11],[3,4,6,7,9,12,13],[3,5,6,9,11,12,13],[3,5,7,9,10,11,14],[4,5,6,8,9,10,14]]; G[4826]:=Group([(1,12)(3,11)(5,14)(6,8)]); # Design 4827: autom. group order 2, simple, residual B[4827]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,13,14],[1,2,7,9,11,13,14],[1,3,5,7,11,12,13],[1,3,8,10,11,12,14],[1,4,5,8,9,12,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,13],[1,5,6,7,9,10,11],[1,6,7,8,10,12,14],[2,3,6,9,10,12,13],[2,3,7,8,9,11,14],[2,4,5,7,10,12,14],[2,4,6,9,11,12,14],[2,4,7,8,10,11,13],[2,5,6,7,8,11,12],[2,5,8,9,10,12,13],[3,4,5,10,11,13,14],[3,4,6,7,8,12,13],[3,4,6,7,9,10,14],[3,5,6,8,9,10,11],[3,5,7,9,12,13,14],[4,5,6,8,11,13,14]]; G[4827]:=Group([(2,14)(3,8)(4,12)(5,10)(9,11)]); # Design 4828: autom. group order 2, simple, residual B[4828]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,9,11,14],[1,2,7,8,10,12,14],[1,3,5,7,11,12,13],[1,3,8,9,11,13,14],[1,4,5,10,12,13,14],[1,4,6,10,11,13,14],[1,4,7,8,9,11,14],[1,5,6,7,9,12,13],[1,6,7,8,9,10,12],[2,3,6,9,12,13,14],[2,3,7,9,10,13,14],[2,4,5,7,8,13,14],[2,4,6,8,11,12,13],[2,4,7,9,11,12,13],[2,5,6,7,10,11,14],[2,5,8,9,10,11,12],[3,4,5,9,10,12,14],[3,4,6,7,8,12,14],[3,4,6,7,9,10,11],[3,5,6,8,11,12,14],[3,5,7,8,10,11,13],[4,5,6,8,9,10,13]]; G[4828]:=Group([(1,12)(3,11)(5,13)(6,9)]); # Design 4829: autom. group order 2, simple B[4829]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,9,11,14],[1,3,5,9,10,13,14],[1,3,7,8,9,12,14],[1,4,5,7,11,12,13],[1,4,6,7,9,12,13],[1,4,7,8,10,13,14],[1,5,6,10,11,12,14],[1,6,8,9,10,11,12],[2,3,6,7,8,10,12],[2,3,7,11,12,13,14],[2,4,5,9,10,12,14],[2,4,6,9,12,13,14],[2,4,8,9,10,11,13],[2,5,6,7,9,11,14],[2,5,7,8,10,12,13],[3,4,5,8,11,12,14],[3,4,6,7,9,10,11],[3,4,6,8,11,13,14],[3,5,6,8,9,12,13],[3,5,7,9,10,11,13],[4,5,6,7,8,10,14]]; G[4829]:=Group([(2,11)(3,12)(4,10)(5,6)(7,14)]); # Design 4830: autom. group order 2, simple B[4830]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,9,11,14],[1,3,5,9,10,13,14],[1,3,7,8,9,12,14],[1,4,5,7,11,12,13],[1,4,6,7,9,12,13],[1,4,7,8,10,13,14],[1,5,6,10,11,12,14],[1,6,8,9,10,11,12],[2,3,6,7,8,10,12],[2,3,7,11,12,13,14],[2,4,5,9,10,12,14],[2,4,6,8,12,13,14],[2,4,8,9,10,11,13],[2,5,6,7,9,11,14],[2,5,7,9,10,12,13],[3,4,5,8,11,12,14],[3,4,6,7,9,10,11],[3,4,6,9,11,13,14],[3,5,6,8,9,12,13],[3,5,7,8,10,11,13],[4,5,6,7,8,10,14]]; G[4830]:=Group([(2,11)(3,12)(4,10)(5,6)(7,14)]); # Design 4831: autom. group order 2, simple B[4831]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,9,11,14],[1,3,5,9,10,13,14],[1,3,7,8,12,13,14],[1,4,5,7,11,12,13],[1,4,6,7,9,12,13],[1,4,7,8,9,10,14],[1,5,6,10,11,12,14],[1,6,8,9,10,11,12],[2,3,6,7,9,10,12],[2,3,8,9,11,12,13],[2,4,5,8,10,12,14],[2,4,6,9,12,13,14],[2,4,7,10,11,13,14],[2,5,6,7,9,11,14],[2,5,7,8,10,12,13],[3,4,5,9,11,12,14],[3,4,6,7,8,10,11],[3,4,6,8,11,13,14],[3,5,6,7,8,12,14],[3,5,7,9,10,11,13],[4,5,6,8,9,10,13]]; G[4831]:=Group([(2,11)(3,12)(4,10)(5,6)(7,14)]); # Design 4832: autom. group order 2, simple B[4832]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,9,11,14],[1,3,5,9,10,13,14],[1,3,7,8,12,13,14],[1,4,5,7,11,12,13],[1,4,6,7,9,12,13],[1,4,7,8,9,10,14],[1,5,6,10,11,12,14],[1,6,8,9,10,11,12],[2,3,6,7,9,10,12],[2,3,8,9,11,12,13],[2,4,5,8,10,12,14],[2,4,6,8,12,13,14],[2,4,7,10,11,13,14],[2,5,6,7,9,11,14],[2,5,7,9,10,12,13],[3,4,5,9,11,12,14],[3,4,6,7,8,10,11],[3,4,6,9,11,13,14],[3,5,6,7,8,12,14],[3,5,7,8,10,11,13],[4,5,6,8,9,10,13]]; G[4832]:=Group([(2,11)(3,12)(4,10)(5,6)(7,14)]); # Design 4833: autom. group order 2, simple, residual B[4833]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,9,10,13],[1,2,7,8,10,11,12],[1,3,5,11,12,13,14],[1,3,7,9,11,13,14],[1,4,5,7,9,12,14],[1,4,6,7,10,11,13],[1,4,8,9,10,12,13],[1,5,6,8,11,12,14],[1,6,7,8,9,10,14],[2,3,6,7,10,12,14],[2,3,7,8,9,11,13],[2,4,5,10,11,13,14],[2,4,6,9,12,13,14],[2,4,7,8,12,13,14],[2,5,6,7,9,11,12],[2,5,8,9,10,11,14],[3,4,5,7,8,10,14],[3,4,6,8,9,11,12],[3,4,6,9,10,11,14],[3,5,6,8,10,12,13],[3,5,7,9,10,12,13],[4,5,6,7,8,11,13]]; G[4833]:=Group([(1,14)(3,13)(5,12)(7,9)]); # Design 4834: autom. group order 2, simple, residual B[4834]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,9,11,14],[1,2,7,9,10,12,14],[1,3,5,11,12,13,14],[1,3,7,8,9,11,13],[1,4,5,7,10,12,13],[1,4,6,7,8,12,14],[1,4,8,9,10,11,14],[1,5,6,8,12,13,14],[1,6,7,9,10,11,13],[2,3,6,7,10,13,14],[2,3,8,9,12,13,14],[2,4,5,7,9,13,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,13],[2,5,6,8,10,11,12],[2,5,7,8,10,11,14],[3,4,5,10,11,13,14],[3,4,6,7,8,11,14],[3,4,6,9,10,12,14],[3,5,6,7,9,11,12],[3,5,7,8,9,10,12],[4,5,6,8,9,10,13]]; G[4834]:=Group([(1,12)(3,11)(5,13)(6,8)]); # Design 4835: autom. group order 2, simple, residual B[4835]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,9,10,13],[1,2,7,8,10,11,12],[1,3,5,11,12,13,14],[1,3,7,9,11,13,14],[1,4,5,7,9,12,14],[1,4,6,7,10,12,13],[1,4,8,9,10,11,13],[1,5,6,8,11,12,14],[1,6,7,8,9,10,14],[2,3,6,7,9,11,12],[2,3,8,9,10,12,14],[2,4,5,10,11,13,14],[2,4,6,9,12,13,14],[2,4,7,8,12,13,14],[2,5,6,7,10,11,14],[2,5,7,8,9,11,13],[3,4,5,7,8,10,14],[3,4,6,7,8,11,13],[3,4,6,9,10,11,14],[3,5,6,8,10,12,13],[3,5,7,9,10,12,13],[4,5,6,8,9,11,12]]; G[4835]:=Group([(1,14)(3,13)(5,12)(6,8)]); # Design 4836: autom. group order 2, simple, residual B[4836]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,9,10,13],[1,2,7,8,9,11,12],[1,3,5,11,12,13,14],[1,3,7,9,11,13,14],[1,4,5,7,10,12,14],[1,4,6,7,8,10,14],[1,4,8,9,10,11,13],[1,5,6,8,11,12,14],[1,6,7,9,10,12,13],[2,3,6,7,10,11,12],[2,3,8,9,10,12,14],[2,4,5,10,11,13,14],[2,4,6,9,12,13,14],[2,4,7,8,12,13,14],[2,5,6,7,9,11,14],[2,5,7,8,10,11,13],[3,4,5,7,9,12,13],[3,4,6,7,8,11,13],[3,4,6,9,10,11,14],[3,5,6,8,10,12,13],[3,5,7,8,9,10,14],[4,5,6,8,9,11,12]]; G[4836]:=Group([(1,14)(3,13)(5,12)(6,8)]); # Design 4837: autom. group order 2, simple B[4837]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,9,10,13],[1,2,7,8,9,11,12],[1,3,5,11,12,13,14],[1,3,7,9,11,13,14],[1,4,5,7,10,12,14],[1,4,6,7,8,11,14],[1,4,8,9,10,11,13],[1,5,6,8,10,12,14],[1,6,7,9,10,12,13],[2,3,6,7,10,11,12],[2,3,8,9,10,12,14],[2,4,5,10,11,13,14],[2,4,6,9,12,13,14],[2,4,7,8,12,13,14],[2,5,6,7,9,11,14],[2,5,7,8,10,11,13],[3,4,5,7,9,12,13],[3,4,6,7,8,10,13],[3,4,6,9,10,11,14],[3,5,6,8,11,12,13],[3,5,7,8,9,10,14],[4,5,6,8,9,11,12]]; G[4837]:=Group([(1,14)(3,13)(5,12)(6,8)]); # Design 4838: autom. group order 2, simple B[4838]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,9,10,13],[1,2,7,8,10,11,12],[1,3,5,11,12,13,14],[1,3,7,9,11,13,14],[1,4,5,7,9,12,14],[1,4,6,7,8,10,14],[1,4,8,9,10,11,13],[1,5,6,8,11,12,14],[1,6,7,9,10,12,13],[2,3,6,7,9,11,12],[2,3,8,9,10,12,14],[2,4,5,10,11,13,14],[2,4,6,9,12,13,14],[2,4,7,8,12,13,14],[2,5,6,7,10,11,14],[2,5,7,8,9,11,13],[3,4,5,7,10,12,13],[3,4,6,7,8,11,13],[3,4,6,9,10,11,14],[3,5,6,8,10,12,13],[3,5,7,8,9,10,14],[4,5,6,8,9,11,12]]; G[4838]:=Group([(1,14)(3,13)(5,12)(6,8)]); # Design 4839: autom. group order 2, simple, residual B[4839]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,9,10,13],[1,2,7,8,10,11,12],[1,3,5,11,12,13,14],[1,3,7,9,11,13,14],[1,4,5,7,9,12,14],[1,4,6,7,8,11,14],[1,4,8,9,10,11,13],[1,5,6,8,10,12,14],[1,6,7,9,10,12,13],[2,3,6,7,9,11,12],[2,3,8,9,10,12,14],[2,4,5,10,11,13,14],[2,4,6,9,12,13,14],[2,4,7,8,12,13,14],[2,5,6,7,10,11,14],[2,5,7,8,9,11,13],[3,4,5,7,10,12,13],[3,4,6,7,8,10,13],[3,4,6,9,10,11,14],[3,5,6,8,11,12,13],[3,5,7,8,9,10,14],[4,5,6,8,9,11,12]]; G[4839]:=Group([(1,14)(3,13)(5,12)(6,8)]); # Design 4840: autom. group order 2, simple B[4840]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,11,13,14],[1,3,5,9,11,12,14],[1,3,7,8,9,10,12],[1,4,5,7,12,13,14],[1,4,6,7,8,10,11],[1,4,8,10,12,13,14],[1,5,6,9,10,12,13],[1,6,7,8,9,11,14],[2,3,6,8,9,12,14],[2,3,7,8,10,13,14],[2,4,5,7,9,10,14],[2,4,6,7,9,12,13],[2,4,8,9,11,12,13],[2,5,6,10,11,12,14],[2,5,7,8,10,11,12],[3,4,5,8,11,13,14],[3,4,6,7,11,12,14],[3,4,6,9,10,11,13],[3,5,6,7,8,12,13],[3,5,7,9,10,11,13],[4,5,6,8,9,10,14]]; G[4840]:=Group([(1,11)(3,12)(4,10)(6,8)(9,14)]); # Design 4841: autom. group order 2, simple B[4841]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,9,10,13],[1,3,5,9,11,12,14],[1,3,7,8,10,11,14],[1,4,5,7,12,13,14],[1,4,6,7,9,11,12],[1,4,8,10,12,13,14],[1,5,6,9,10,12,13],[1,6,7,8,9,11,14],[2,3,6,8,9,12,14],[2,3,7,9,12,13,14],[2,4,5,7,9,10,14],[2,4,6,7,11,13,14],[2,4,8,9,11,12,13],[2,5,6,10,11,12,14],[2,5,7,8,10,11,12],[3,4,5,8,11,13,14],[3,4,6,7,8,10,12],[3,4,6,9,10,11,13],[3,5,6,7,8,12,13],[3,5,7,9,10,11,13],[4,5,6,8,9,10,14]]; G[4841]:=Group([(1,11)(3,12)(4,10)(6,8)(9,14)]); # Design 4842: autom. group order 2, simple, residual B[4842]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,9,10,11],[1,2,7,8,10,12,13],[1,3,5,11,12,13,14],[1,3,7,8,9,11,14],[1,4,5,7,10,12,14],[1,4,6,7,9,12,13],[1,4,8,9,10,11,13],[1,5,6,9,12,13,14],[1,6,7,8,10,11,14],[2,3,6,9,10,12,14],[2,3,7,9,10,13,14],[2,4,5,7,8,13,14],[2,4,6,8,11,12,14],[2,4,7,9,11,12,14],[2,5,6,7,10,11,13],[2,5,8,9,11,12,13],[3,4,5,10,11,13,14],[3,4,6,7,9,11,13],[3,4,6,8,10,12,13],[3,5,6,7,8,11,12],[3,5,7,8,9,10,12],[4,5,6,8,9,10,14]]; G[4842]:=Group([(1,12)(3,11)(5,14)(6,9)]); # Design 4843: autom. group order 2, simple B[4843]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,9,10,12,13],[1,3,5,9,11,12,14],[1,3,7,8,9,11,14],[1,4,5,7,12,13,14],[1,4,6,7,10,11,14],[1,4,8,9,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,12,13],[2,3,6,9,10,13,14],[2,3,7,8,10,12,14],[2,4,5,7,9,13,14],[2,4,6,9,11,12,14],[2,4,8,11,12,13,14],[2,5,6,7,8,11,12],[2,5,7,8,9,10,11],[3,4,5,8,10,12,13],[3,4,6,7,8,11,13],[3,4,6,7,9,10,12],[3,5,6,9,11,12,13],[3,5,7,10,11,13,14],[4,5,6,8,9,10,14]]; G[4843]:=Group([(1,12)(3,11)(5,14)(6,8)(7,13)]); # Design 4844: autom. group order 2, simple B[4844]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,11,12,13],[1,2,7,8,11,13,14],[1,3,5,9,12,13,14],[1,3,7,8,10,11,12],[1,4,5,7,9,10,13],[1,4,6,8,9,10,14],[1,4,7,9,11,12,14],[1,5,6,7,8,12,14],[1,6,8,9,10,11,13],[2,3,6,7,8,9,11],[2,3,7,9,10,13,14],[2,4,5,8,11,13,14],[2,4,6,7,10,12,14],[2,4,7,8,9,12,13],[2,5,6,8,9,10,12],[2,5,9,10,11,12,14],[3,4,5,8,10,11,14],[3,4,6,8,12,13,14],[3,4,6,9,11,12,13],[3,5,6,7,9,11,14],[3,5,7,8,10,12,13],[4,5,6,7,10,11,13]]; G[4844]:=Group([(1,7)(2,13)(3,10)(4,5)(6,9)(8,11)]); # Design 4845: autom. group order 2, simple, residual B[4845]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,9,12,13],[1,3,5,10,12,13,14],[1,3,7,8,9,10,11],[1,4,5,7,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,11,12,14],[1,5,6,7,9,11,14],[1,6,8,9,10,12,13],[2,3,6,7,9,12,14],[2,3,7,8,11,13,14],[2,4,5,8,9,10,14],[2,4,6,9,11,12,13],[2,4,7,9,10,13,14],[2,5,6,7,10,11,12],[2,5,8,10,11,12,14],[3,4,5,9,11,12,13],[3,4,6,7,8,10,12],[3,4,6,8,11,13,14],[3,5,6,8,9,12,14],[3,5,7,9,10,11,13],[4,5,6,7,8,10,13]]; G[4845]:=Group([(1,11)(3,12)(4,10)(9,14)]); # Design 4846: autom. group order 2, simple, residual B[4846]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,12,13,14],[1,3,5,9,10,12,13],[1,3,7,8,10,11,14],[1,4,5,7,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,9,11,12],[1,5,6,7,9,11,14],[1,6,8,9,10,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,8,9,10,14],[2,4,6,9,11,12,13],[2,4,7,9,10,13,14],[2,5,6,7,10,11,12],[2,5,8,10,11,12,14],[3,4,5,11,12,13,14],[3,4,6,7,8,10,12],[3,4,6,8,11,13,14],[3,5,6,8,9,12,14],[3,5,7,9,10,11,13],[4,5,6,7,8,10,13]]; G[4846]:=Group([(1,11)(3,12)(4,10)(9,14)]); # Design 4847: autom. group order 2, simple, residual B[4847]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,11,12,14],[1,2,7,9,11,12,13],[1,3,5,9,10,13,14],[1,3,7,8,11,13,14],[1,4,5,7,8,11,14],[1,4,6,10,12,13,14],[1,4,7,8,9,10,12],[1,5,6,7,9,12,13],[1,6,8,9,10,11,14],[2,3,6,7,9,10,14],[2,3,7,8,12,13,14],[2,4,5,10,11,13,14],[2,4,6,8,9,12,14],[2,4,7,9,10,11,13],[2,5,6,8,9,11,13],[2,5,7,8,10,12,14],[3,4,5,9,12,13,14],[3,4,6,7,9,11,14],[3,4,6,8,11,12,13],[3,5,6,7,10,11,12],[3,5,8,9,10,11,12],[4,5,6,7,8,10,13]]; G[4847]:=Group([(1,12)(2,11)(4,10)]); # Design 4848: autom. group order 2, simple, residual B[4848]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,9,10,12],[1,3,5,9,12,13,14],[1,3,7,9,11,13,14],[1,4,5,7,11,12,14],[1,4,6,8,9,11,13],[1,4,7,8,10,12,13],[1,5,6,9,10,12,14],[1,6,7,8,10,11,14],[2,3,6,7,8,12,14],[2,3,7,9,10,11,13],[2,4,5,7,10,13,14],[2,4,6,11,12,13,14],[2,4,8,9,12,13,14],[2,5,6,7,9,11,12],[2,5,8,9,10,11,14],[3,4,5,8,10,11,14],[3,4,6,7,8,9,14],[3,4,6,9,10,11,12],[3,5,6,8,10,12,13],[3,5,7,8,11,12,13],[4,5,6,7,9,10,13]]; G[4848]:=Group([(1,14)(3,13)(5,12)(7,11)]); # Design 4849: autom. group order 2, simple B[4849]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,9,11,14],[1,2,7,8,10,11,14],[1,3,5,10,12,13,14],[1,3,7,8,12,13,14],[1,4,5,7,9,13,14],[1,4,6,8,11,12,14],[1,4,7,9,10,11,12],[1,5,6,9,10,12,13],[1,6,7,8,9,11,13],[2,3,6,7,9,12,14],[2,3,7,9,11,12,13],[2,4,5,11,12,13,14],[2,4,6,7,10,13,14],[2,4,8,9,10,13,14],[2,5,6,8,11,12,13],[2,5,7,8,9,10,12],[3,4,5,7,8,11,13],[3,4,6,8,9,12,14],[3,4,6,9,10,11,13],[3,5,6,7,10,11,14],[3,5,8,9,10,11,14],[4,5,6,7,8,10,12]]; G[4849]:=Group([(1,13)(2,4)(3,14)(5,10)(6,9)(7,8)]); # Design 4850: autom. group order 2, simple, residual B[4850]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,11,13,14],[1,2,7,8,12,13,14],[1,3,5,8,9,10,13],[1,3,7,8,9,11,14],[1,4,5,7,10,12,14],[1,4,6,8,9,12,14],[1,4,9,10,11,12,13],[1,5,6,7,8,11,12],[1,6,7,9,10,11,13],[2,3,6,7,9,11,12],[2,3,7,8,10,12,13],[2,4,5,7,9,11,13],[2,4,6,8,9,12,13],[2,4,7,8,10,11,14],[2,5,6,9,10,12,14],[2,5,8,9,10,11,14],[3,4,5,11,12,13,14],[3,4,6,7,9,10,14],[3,4,6,8,11,13,14],[3,5,6,8,10,11,12],[3,5,7,9,12,13,14],[4,5,6,7,8,10,13]]; G[4850]:=Group([(2,13)(3,10)(4,9)(5,11)(8,12)]); # Design 4851: autom. group order 2, simple, residual B[4851]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,9,10,12,13],[1,3,5,9,10,11,14],[1,3,7,8,10,12,14],[1,4,5,7,9,13,14],[1,4,6,9,11,12,14],[1,4,8,11,12,13,14],[1,5,6,7,8,11,12],[1,6,7,8,9,10,13],[2,3,6,9,12,13,14],[2,3,7,8,9,11,14],[2,4,5,7,12,13,14],[2,4,6,7,10,11,14],[2,4,8,9,10,11,13],[2,5,6,8,10,12,14],[2,5,7,8,9,11,12],[3,4,5,8,10,12,13],[3,4,6,7,8,11,13],[3,4,6,7,9,10,12],[3,5,6,9,11,12,13],[3,5,7,10,11,13,14],[4,5,6,8,9,10,14]]; G[4851]:=Group([(2,12)(3,11)(5,14)(6,8)(7,13)]); # Design 4852: autom. group order 2, simple, residual B[4852]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,11,13,14],[1,2,7,8,12,13,14],[1,3,5,8,9,10,13],[1,3,7,8,9,11,14],[1,4,5,7,10,12,14],[1,4,6,8,9,12,14],[1,4,9,10,11,12,13],[1,5,6,7,8,11,12],[1,6,7,9,10,11,13],[2,3,6,9,11,12,14],[2,3,7,8,10,12,13],[2,4,5,7,9,11,13],[2,4,6,8,9,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,10,12],[2,5,8,9,10,11,14],[3,4,5,11,12,13,14],[3,4,6,7,8,11,13],[3,4,6,7,9,10,14],[3,5,6,8,10,11,12],[3,5,7,9,12,13,14],[4,5,6,8,10,13,14]]; G[4852]:=Group([(2,13)(3,10)(4,9)(5,11)(8,12)]); # Design 4853: autom. group order 2, simple, residual B[4853]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,9,10,11],[1,2,7,8,10,13,14],[1,3,5,11,12,13,14],[1,3,7,9,11,12,13],[1,4,5,10,12,13,14],[1,4,6,7,8,11,13],[1,4,7,8,9,10,12],[1,5,6,7,9,12,14],[1,6,8,9,10,11,14],[2,3,6,7,10,12,14],[2,3,7,9,10,11,13],[2,4,5,7,9,13,14],[2,4,6,9,11,12,14],[2,4,7,8,11,12,14],[2,5,6,8,11,12,13],[2,5,8,9,10,12,13],[3,4,5,8,10,11,14],[3,4,6,8,9,12,13],[3,4,6,9,10,13,14],[3,5,6,7,8,10,12],[3,5,7,8,9,11,14],[4,5,6,7,10,11,13]]; G[4853]:=Group([(1,12)(3,11)(5,14)(7,9)]); # Design 4854: autom. group order 2, simple, residual B[4854]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,9,10,13],[1,2,7,8,10,11,12],[1,3,5,11,12,13,14],[1,3,7,9,10,13,14],[1,4,5,9,11,12,14],[1,4,6,7,10,11,13],[1,4,7,8,9,12,13],[1,5,6,7,8,11,14],[1,6,8,9,10,12,14],[2,3,6,7,9,11,12],[2,3,8,9,10,11,14],[2,4,5,10,12,13,14],[2,4,6,9,11,13,14],[2,4,7,8,11,13,14],[2,5,6,7,10,12,14],[2,5,7,8,9,12,13],[3,4,5,7,8,10,14],[3,4,6,7,9,12,14],[3,4,6,8,10,12,13],[3,5,6,8,11,12,13],[3,5,7,9,10,11,13],[4,5,6,8,9,10,11]]; G[4854]:=Group([(1,14)(3,13)(5,11)(6,8)]); # Design 4855: autom. group order 2, simple, residual B[4855]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,9,11,14],[1,2,7,9,10,13,14],[1,3,5,11,12,13,14],[1,3,7,8,11,12,14],[1,4,5,10,12,13,14],[1,4,6,7,9,11,14],[1,4,7,8,9,10,12],[1,5,6,7,8,12,13],[1,6,8,9,10,11,13],[2,3,6,9,12,13,14],[2,3,7,8,10,11,14],[2,4,5,7,8,13,14],[2,4,6,8,11,12,13],[2,4,7,9,11,12,13],[2,5,6,7,10,11,12],[2,5,8,9,10,12,14],[3,4,5,9,10,11,13],[3,4,6,7,10,13,14],[3,4,6,8,9,12,14],[3,5,6,7,9,10,12],[3,5,7,8,9,11,13],[4,5,6,8,10,11,14]]; G[4855]:=Group([(1,12)(3,11)(5,13)(7,8)]); # Design 4856: autom. group order 2, simple B[4856]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,10,11,14],[1,3,5,9,11,12,13],[1,3,7,9,11,12,14],[1,4,5,8,10,12,14],[1,4,6,7,8,11,14],[1,4,7,8,9,10,13],[1,5,6,10,12,13,14],[1,6,7,8,9,12,13],[2,3,6,7,8,12,14],[2,3,8,9,10,13,14],[2,4,5,7,9,13,14],[2,4,6,9,11,12,13],[2,4,8,11,12,13,14],[2,5,6,7,9,10,12],[2,5,7,8,10,11,12],[3,4,5,7,12,13,14],[3,4,6,7,10,11,13],[3,4,6,8,9,10,12],[3,5,6,8,9,11,14],[3,5,7,8,10,11,13],[4,5,6,9,10,11,14]]; G[4856]:=Group([(1,11)(3,12)(5,13)(6,8)(7,14)]); # Design 4857: autom. group order 2, simple, residual B[4857]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,9,10,11],[1,2,7,8,10,13,14],[1,3,5,11,12,13,14],[1,3,7,9,11,12,13],[1,4,5,10,12,13,14],[1,4,6,7,8,11,13],[1,4,8,9,10,11,14],[1,5,6,7,9,12,14],[1,6,7,8,9,10,12],[2,3,6,7,10,12,14],[2,3,7,9,10,11,13],[2,4,5,7,9,13,14],[2,4,6,9,11,12,14],[2,4,7,8,11,12,14],[2,5,6,8,11,12,13],[2,5,8,9,10,12,13],[3,4,5,7,8,10,12],[3,4,6,8,9,12,13],[3,4,6,9,10,13,14],[3,5,6,8,10,11,14],[3,5,7,8,9,11,14],[4,5,6,7,10,11,13]]; G[4857]:=Group([(1,12)(3,11)(5,14)(7,9)]); # Design 4858: autom. group order 2, simple, residual B[4858]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,10,13,14],[1,3,5,9,11,12,14],[1,3,7,8,9,10,11],[1,4,5,8,12,13,14],[1,4,6,7,11,12,14],[1,4,9,10,11,13,14],[1,5,6,7,9,12,13],[1,6,7,8,9,10,12],[2,3,6,8,9,12,14],[2,3,7,9,12,13,14],[2,4,5,7,9,10,14],[2,4,6,7,9,11,13],[2,4,8,9,11,12,13],[2,5,6,10,11,12,14],[2,5,7,8,10,11,12],[3,4,5,7,10,12,13],[3,4,6,7,8,11,14],[3,4,6,8,10,12,13],[3,5,6,9,10,11,13],[3,5,7,8,11,13,14],[4,5,6,8,9,10,14]]; G[4858]:=Group([(1,11)(3,12)(4,10)(6,8)(9,14)]); # Design 4859: autom. group order 2, simple, residual B[4859]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,9,10,11],[1,2,7,9,10,13,14],[1,3,5,11,12,13,14],[1,3,7,8,9,12,13],[1,4,5,10,12,13,14],[1,4,6,7,9,12,14],[1,4,8,9,10,11,14],[1,5,6,7,8,11,12],[1,6,7,8,10,11,13],[2,3,6,9,10,12,13],[2,3,7,8,10,11,14],[2,4,5,7,8,13,14],[2,4,6,8,11,12,13],[2,4,7,9,11,12,13],[2,5,6,7,10,12,14],[2,5,8,9,11,12,14],[3,4,5,7,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,10,12,14],[3,5,6,9,11,13,14],[3,5,7,8,9,10,12],[4,5,6,8,9,10,13]]; G[4859]:=Group([(1,12)(3,11)(5,13)(6,9)]); # Design 4860: autom. group order 2, simple, residual B[4860]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,9,11,14],[1,2,7,9,10,13,14],[1,3,5,11,12,13,14],[1,3,7,8,11,12,14],[1,4,5,10,12,13,14],[1,4,6,7,9,11,14],[1,4,8,9,10,11,13],[1,5,6,7,8,12,13],[1,6,7,8,9,10,12],[2,3,6,9,12,13,14],[2,3,7,8,10,11,14],[2,4,5,7,8,13,14],[2,4,6,8,11,12,13],[2,4,7,9,11,12,13],[2,5,6,7,10,11,12],[2,5,8,9,10,12,14],[3,4,5,7,9,10,12],[3,4,6,7,10,13,14],[3,4,6,8,9,12,14],[3,5,6,9,10,11,13],[3,5,7,8,9,11,13],[4,5,6,8,10,11,14]]; G[4860]:=Group([(1,12)(3,11)(5,13)(7,8)]); # Design 4861: autom. group order 2, simple, residual B[4861]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,9,10,13],[1,3,5,9,11,12,14],[1,3,7,10,11,13,14],[1,4,5,8,12,13,14],[1,4,6,8,10,12,14],[1,4,7,9,11,12,13],[1,5,6,7,9,11,14],[1,6,7,8,9,10,12],[2,3,6,9,12,13,14],[2,3,7,8,9,12,14],[2,4,5,7,9,10,14],[2,4,6,9,11,12,13],[2,4,7,8,11,13,14],[2,5,6,7,10,11,12],[2,5,8,10,11,12,14],[3,4,5,7,10,12,13],[3,4,6,7,8,11,14],[3,4,6,8,9,10,11],[3,5,6,7,8,12,13],[3,5,8,9,10,11,13],[4,5,6,9,10,13,14]]; G[4861]:=Group([(1,11)(3,12)(4,10)(9,14)]); # Design 4862: autom. group order 2, simple, residual B[4862]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,10,13,14],[1,3,5,9,11,12,14],[1,3,7,9,10,11,13],[1,4,5,8,12,13,14],[1,4,6,8,9,10,12],[1,4,7,11,12,13,14],[1,5,6,7,9,11,14],[1,6,7,8,9,10,12],[2,3,6,9,12,13,14],[2,3,7,8,9,12,14],[2,4,5,7,9,10,14],[2,4,6,9,11,12,13],[2,4,7,8,9,11,13],[2,5,6,7,10,11,12],[2,5,8,10,11,12,14],[3,4,5,7,10,12,13],[3,4,6,7,8,11,14],[3,4,6,8,10,11,14],[3,5,6,7,8,12,13],[3,5,8,9,10,11,13],[4,5,6,9,10,13,14]]; G[4862]:=Group([(1,11)(3,12)(4,10)(9,14)]); # Design 4863: autom. group order 2, simple B[4863]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,10,12,13],[1,3,5,9,11,12,14],[1,3,8,9,11,13,14],[1,4,5,7,12,13,14],[1,4,6,7,10,11,14],[1,4,7,8,9,10,11],[1,5,6,8,10,12,14],[1,6,7,8,9,12,13],[2,3,6,7,8,12,14],[2,3,7,8,9,10,14],[2,4,5,7,9,13,14],[2,4,6,9,11,12,14],[2,4,8,11,12,13,14],[2,5,6,9,10,11,13],[2,5,7,8,10,11,12],[3,4,5,8,10,12,13],[3,4,6,7,8,11,13],[3,4,6,9,10,12,13],[3,5,6,7,9,11,12],[3,5,7,10,11,13,14],[4,5,6,8,9,10,14]]; G[4863]:=Group([(1,12)(3,11)(5,14)(6,8)(7,13)]); # Design 4864: autom. group order 2, simple, residual B[4864]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,12,13,14],[1,2,7,8,10,11,14],[1,3,5,8,12,13,14],[1,3,8,9,10,13,14],[1,4,5,7,9,10,13],[1,4,6,9,11,12,14],[1,4,7,8,11,12,14],[1,5,6,7,8,9,11],[1,6,7,9,10,12,13],[2,3,6,7,9,12,14],[2,3,7,9,11,13,14],[2,4,5,9,10,12,14],[2,4,6,8,9,11,13],[2,4,7,8,10,12,13],[2,5,6,7,8,10,14],[2,5,8,9,11,12,13],[3,4,5,7,11,13,14],[3,4,6,7,8,12,13],[3,4,6,8,9,10,14],[3,5,6,8,10,11,12],[3,5,7,9,10,11,12],[4,5,6,10,11,13,14]]; G[4864]:=Group([(1,11)(2,10)(4,12)(7,8)]); # Design 4865: autom. group order 2, simple B[4865]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,9,10,11,13,14],[1,3,5,7,9,12,13],[1,3,7,8,9,10,14],[1,4,5,7,11,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,12,13],[1,5,6,8,11,13,14],[1,6,7,8,9,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,11,14],[2,4,5,9,11,12,14],[2,4,6,7,8,10,14],[2,4,7,8,11,12,13],[2,5,6,7,9,10,13],[2,5,8,9,10,12,13],[3,4,5,8,10,13,14],[3,4,6,8,9,11,13],[3,4,6,9,12,13,14],[3,5,6,8,10,11,12],[3,5,7,10,11,12,14],[4,5,6,7,9,10,11]]; G[4865]:=Group([(1,10)(2,11)(4,12)(7,8)(9,14)]); # Design 4866: autom. group order 2, simple, residual B[4866]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,11,12,14],[1,2,8,9,11,13,14],[1,3,5,7,10,13,14],[1,3,7,8,11,12,14],[1,4,5,9,10,12,13],[1,4,6,7,8,13,14],[1,4,7,9,10,12,14],[1,5,6,9,11,12,13],[1,6,7,8,9,10,11],[2,3,6,9,12,13,14],[2,3,7,9,10,11,13],[2,4,5,7,11,13,14],[2,4,6,7,8,9,12],[2,4,8,10,12,13,14],[2,5,6,7,9,10,14],[2,5,7,8,10,11,12],[3,4,5,8,9,11,14],[3,4,6,7,11,12,13],[3,4,6,9,10,11,14],[3,5,6,8,10,12,14],[3,5,7,8,9,12,13],[4,5,6,8,10,11,13]]; G[4866]:=Group([(1,4)(2,10)(3,12)(5,9)(6,14)(8,13)]); # Design 4867: autom. group order 2, simple B[4867]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,8,9,10,13,14],[1,3,5,7,11,12,14],[1,3,7,8,9,10,11],[1,4,5,9,12,13,14],[1,4,6,9,11,12,14],[1,4,7,8,10,12,13],[1,5,6,7,10,12,13],[1,6,7,8,9,11,14],[2,3,6,7,8,12,14],[2,3,7,9,12,13,14],[2,4,5,7,9,10,14],[2,4,6,7,9,11,13],[2,4,7,8,11,12,13],[2,5,6,9,10,11,12],[2,5,8,10,11,12,14],[3,4,5,8,11,13,14],[3,4,6,8,9,10,12],[3,4,6,10,11,13,14],[3,5,6,8,9,12,13],[3,5,7,9,10,11,13],[4,5,6,7,8,10,14]]; G[4867]:=Group([(1,11)(3,12)(4,10)(6,8)(7,14)]); # Design 4868: autom. group order 2, simple, residual B[4868]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,8,9,10,11,12],[1,3,5,9,12,13,14],[1,3,7,9,11,13,14],[1,4,5,7,11,12,14],[1,4,6,7,8,9,13],[1,4,7,8,10,11,14],[1,5,6,9,10,12,14],[1,6,7,8,10,12,13],[2,3,6,7,8,12,14],[2,3,7,9,10,11,13],[2,4,5,7,10,13,14],[2,4,6,11,12,13,14],[2,4,8,9,12,13,14],[2,5,6,7,9,11,12],[2,5,7,8,9,10,14],[3,4,5,8,10,12,13],[3,4,6,7,9,10,12],[3,4,6,8,9,11,14],[3,5,6,8,10,11,14],[3,5,7,8,11,12,13],[4,5,6,9,10,11,13]]; G[4868]:=Group([(1,14)(3,13)(5,12)(7,11)]); # Design 4869: autom. group order 2, simple, residual B[4869]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,8,9,10,11,12],[1,3,5,9,12,13,14],[1,3,7,9,11,13,14],[1,4,5,7,11,12,14],[1,4,6,7,8,9,13],[1,4,7,8,10,12,13],[1,5,6,9,10,12,14],[1,6,7,8,10,11,14],[2,3,6,7,8,12,14],[2,3,7,9,10,11,13],[2,4,5,7,10,13,14],[2,4,6,11,12,13,14],[2,4,8,9,12,13,14],[2,5,6,7,9,11,12],[2,5,7,8,9,10,14],[3,4,5,8,10,11,14],[3,4,6,7,9,10,12],[3,4,6,8,9,11,14],[3,5,6,8,10,12,13],[3,5,7,8,11,12,13],[4,5,6,9,10,11,13]]; G[4869]:=Group([(1,14)(3,13)(5,12)(7,11)]); # Design 4870: autom. group order 2, simple, residual B[4870]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,9,10,12,13],[1,3,5,7,10,11,14],[1,3,8,9,10,12,14],[1,4,5,7,9,13,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,14],[1,5,6,8,9,11,12],[1,6,7,8,9,10,13],[2,3,7,8,11,13,14],[2,3,7,9,11,12,13],[2,4,5,9,12,13,14],[2,4,6,7,8,10,12],[2,4,6,9,10,11,14],[2,5,6,7,8,12,14],[2,5,8,9,10,11,14],[3,4,5,8,10,12,13],[3,4,6,7,9,10,14],[3,4,6,8,9,11,13],[3,5,6,7,9,11,12],[3,5,6,10,12,13,14],[4,5,7,8,10,11,13]]; G[4870]:=Group([(2,12)(3,11)(5,14)(6,8)(9,13)]); # Design 4871: autom. group order 2, simple, residual B[4871]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,13,14],[1,2,7,9,11,13,14],[1,3,5,7,11,12,13],[1,3,8,10,11,12,14],[1,4,5,8,9,12,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,13],[1,5,6,7,9,10,11],[1,6,7,8,10,12,14],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,7,10,12,14],[2,4,6,7,8,10,11],[2,4,6,9,11,12,14],[2,5,6,8,11,12,13],[2,5,8,9,10,12,13],[3,4,5,10,11,13,14],[3,4,6,7,8,12,13],[3,4,6,9,10,13,14],[3,5,6,7,9,12,14],[3,5,6,8,9,10,11],[4,5,7,8,11,13,14]]; G[4871]:=Group([(2,14)(3,8)(4,12)(5,10)(9,11)]); # Design 4872: autom. group order 2, simple, residual B[4872]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,13,14],[1,2,7,9,11,13,14],[1,3,5,7,11,12,13],[1,3,8,10,11,12,14],[1,4,5,8,9,12,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,13],[1,5,6,7,9,10,11],[1,6,7,8,10,12,14],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,7,10,12,14],[2,4,6,8,10,11,13],[2,4,6,9,11,12,14],[2,5,6,7,8,11,12],[2,5,8,9,10,12,13],[3,4,5,10,11,13,14],[3,4,6,7,8,12,13],[3,4,6,7,9,10,14],[3,5,6,8,9,10,11],[3,5,6,9,12,13,14],[4,5,7,8,11,13,14]]; G[4872]:=Group([(2,14)(3,8)(4,12)(5,10)(9,11)]); # Design 4873: autom. group order 2, simple B[4873]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,7,8,9,12,13],[1,3,5,8,10,13,14],[1,3,7,9,11,12,14],[1,4,5,7,11,13,14],[1,4,6,9,11,13,14],[1,4,7,8,10,12,14],[1,5,6,9,10,12,13],[1,6,7,8,9,10,11],[2,3,7,9,10,13,14],[2,3,8,11,12,13,14],[2,4,5,9,10,11,14],[2,4,6,7,10,12,13],[2,4,6,8,9,13,14],[2,5,6,7,11,12,14],[2,5,7,8,9,10,11],[3,4,5,7,9,12,13],[3,4,6,7,8,10,14],[3,4,6,8,9,11,12],[3,5,6,7,8,11,13],[3,5,6,9,10,12,14],[4,5,8,10,11,12,13]]; G[4873]:=Group([(1,6)(2,5)(3,12)(4,14)(7,8)(9,11)]); # Design 4874: autom. group order 2, simple, residual B[4874]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,9,10,12,13],[1,3,5,9,10,11,14],[1,3,7,8,10,12,14],[1,4,5,7,9,13,14],[1,4,6,9,11,12,14],[1,4,8,11,12,13,14],[1,5,6,7,8,11,12],[1,6,7,8,9,10,13],[2,3,7,8,9,11,14],[2,3,7,9,11,12,13],[2,4,5,7,12,13,14],[2,4,6,7,10,11,14],[2,4,6,8,9,10,12],[2,5,6,8,9,12,14],[2,5,8,10,11,13,14],[3,4,5,8,10,12,13],[3,4,6,7,8,11,13],[3,4,6,9,10,13,14],[3,5,6,7,10,12,14],[3,5,6,9,11,12,13],[4,5,7,8,9,10,11]]; G[4874]:=Group([(2,12)(3,11)(5,14)(6,8)(7,13)]); # Design 4875: autom. group order 2, simple, residual B[4875]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,11,13,14],[1,2,7,8,12,13,14],[1,3,5,8,9,10,13],[1,3,7,8,9,11,14],[1,4,5,7,10,12,14],[1,4,6,8,9,12,14],[1,4,9,10,11,12,13],[1,5,6,7,8,11,12],[1,6,7,9,10,11,13],[2,3,7,8,10,12,13],[2,3,7,9,11,12,14],[2,4,5,7,9,11,13],[2,4,6,8,9,12,13],[2,4,6,8,10,11,14],[2,5,6,7,9,10,12],[2,5,8,9,10,11,14],[3,4,5,11,12,13,14],[3,4,6,7,8,11,13],[3,4,6,7,9,10,14],[3,5,6,8,10,11,12],[3,5,6,9,12,13,14],[4,5,7,8,10,13,14]]; G[4875]:=Group([(2,13)(3,10)(4,9)(5,11)(8,12)]); # Design 4876: autom. group order 2, simple, residual B[4876]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,11,12,14],[1,2,7,9,11,12,13],[1,3,5,9,11,13,14],[1,3,7,8,10,12,14],[1,4,5,8,10,13,14],[1,4,6,7,11,13,14],[1,4,7,8,9,12,14],[1,5,6,9,10,12,13],[1,6,7,8,9,10,11],[2,3,7,9,10,13,14],[2,3,8,11,12,13,14],[2,4,5,7,10,11,14],[2,4,6,7,8,12,13],[2,4,6,9,10,13,14],[2,5,6,8,9,12,14],[2,5,7,8,9,10,11],[3,4,5,7,9,12,13],[3,4,6,8,9,11,14],[3,4,6,9,10,11,12],[3,5,6,7,8,11,13],[3,5,6,7,10,12,14],[4,5,8,10,11,12,13]]; G[4876]:=Group([(1,6)(2,5)(3,12)(4,14)(7,11)(8,9)]); # Design 4877: autom. group order 2, simple, residual B[4877]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,11,12,14],[1,2,7,9,11,12,13],[1,3,5,9,11,13,14],[1,3,7,8,12,13,14],[1,4,5,8,10,13,14],[1,4,6,7,10,11,14],[1,4,7,8,9,12,14],[1,5,6,9,10,12,13],[1,6,7,8,9,10,11],[2,3,7,9,10,13,14],[2,3,8,10,11,12,14],[2,4,5,7,11,13,14],[2,4,6,7,8,12,13],[2,4,6,9,10,13,14],[2,5,6,8,9,12,14],[2,5,7,8,9,10,11],[3,4,5,7,9,10,12],[3,4,6,8,9,11,14],[3,4,6,9,11,12,13],[3,5,6,7,8,11,13],[3,5,6,7,10,12,14],[4,5,8,10,11,12,13]]; G[4877]:=Group([(1,6)(2,5)(3,12)(4,14)(7,11)(8,9)]); # Design 4878: autom. group order 2, simple B[4878]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,11,12,13],[1,2,7,8,10,11,12],[1,3,5,8,9,11,14],[1,3,9,10,11,13,14],[1,4,5,7,12,13,14],[1,4,6,8,9,12,14],[1,4,7,8,11,13,14],[1,5,6,7,9,10,13],[1,6,7,8,9,10,12],[2,3,7,8,9,12,13],[2,3,7,9,12,13,14],[2,4,5,8,9,10,13],[2,4,6,7,9,11,14],[2,4,6,8,10,13,14],[2,5,6,9,11,12,14],[2,5,7,8,10,11,14],[3,4,5,7,10,12,14],[3,4,6,7,9,10,11],[3,4,6,8,11,12,13],[3,5,6,7,8,11,13],[3,5,6,8,10,12,14],[4,5,9,10,11,12,13]]; G[4878]:=Group([(1,10)(2,9)(3,13)(4,5)(6,11)(7,12)]); # Design 4879: autom. group order 2, simple, residual B[4879]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,8,9,12,14],[1,3,5,9,10,12,13],[1,3,6,7,9,11,13],[1,4,5,6,11,12,14],[1,4,7,8,11,13,14],[1,4,7,9,10,12,14],[1,5,8,9,10,11,14],[1,6,7,8,10,12,13],[2,3,7,8,10,11,14],[2,3,7,9,11,12,14],[2,4,5,7,12,13,14],[2,4,6,9,10,11,13],[2,4,6,9,10,13,14],[2,5,6,7,8,10,12],[2,5,8,9,11,12,13],[3,4,5,8,10,13,14],[3,4,6,8,10,11,12],[3,4,7,8,9,12,13],[3,5,6,7,9,10,14],[3,5,6,11,12,13,14],[4,5,6,7,8,9,11]]; G[4879]:=Group([(1,8)(2,6)(3,12)(4,10)(5,7)(9,13)]); # Design 4880: autom. group order 2, simple, residual B[4880]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,11,12],[1,3,5,9,11,12,14],[1,3,6,7,8,10,14],[1,4,5,6,12,13,14],[1,4,7,9,11,13,14],[1,4,8,10,11,13,14],[1,5,7,9,10,12,13],[1,6,7,8,9,10,12],[2,3,7,8,12,13,14],[2,3,7,9,10,11,13],[2,4,5,7,9,10,14],[2,4,6,7,11,12,14],[2,4,6,9,10,12,13],[2,5,6,8,9,13,14],[2,5,8,10,11,12,14],[3,4,5,8,10,12,13],[3,4,6,8,9,11,13],[3,4,7,8,9,12,14],[3,5,6,7,11,12,13],[3,5,6,9,10,11,14],[4,5,6,7,8,10,11]]; G[4880]:=Group([(2,13)(3,14)(5,11)(6,10)(7,8)]); # Design 4881: autom. group order 2, simple, residual B[4881]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,11,12],[1,3,5,9,11,12,14],[1,3,6,7,8,10,14],[1,4,5,6,12,13,14],[1,4,7,9,11,13,14],[1,4,8,10,11,13,14],[1,5,7,9,10,12,13],[1,6,7,8,9,10,12],[2,3,7,8,12,13,14],[2,3,7,9,10,11,13],[2,4,5,7,10,12,14],[2,4,6,7,9,11,14],[2,4,6,9,10,12,13],[2,5,6,8,9,13,14],[2,5,8,10,11,12,14],[3,4,5,8,9,10,13],[3,4,6,8,11,12,13],[3,4,7,8,9,12,14],[3,5,6,7,11,12,13],[3,5,6,9,10,11,14],[4,5,6,7,8,10,11]]; G[4881]:=Group([(2,13)(3,14)(5,11)(6,10)(7,8)]); # Design 4882: autom. group order 2, simple B[4882]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,9,11,12,13],[1,3,5,9,10,12,14],[1,3,6,7,8,11,14],[1,4,5,6,12,13,14],[1,4,7,9,10,13,14],[1,4,8,10,11,13,14],[1,5,7,8,9,10,12],[1,6,7,8,9,11,12],[2,3,7,8,9,13,14],[2,3,7,10,11,12,14],[2,4,5,8,9,11,14],[2,4,6,7,9,12,14],[2,4,6,8,10,12,14],[2,5,6,9,10,11,13],[2,5,7,8,10,12,13],[3,4,5,7,11,12,13],[3,4,6,7,9,10,13],[3,4,8,9,11,12,13],[3,5,6,8,12,13,14],[3,5,6,9,10,11,14],[4,5,6,7,8,10,11]]; G[4882]:=Group([(2,13)(3,14)(5,10)(6,11)(7,8)]); # Design 4883: autom. group order 2, simple B[4883]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,9,11,12,13],[1,3,5,9,10,12,14],[1,3,6,7,8,11,14],[1,4,5,6,12,13,14],[1,4,7,9,10,13,14],[1,4,8,10,11,13,14],[1,5,7,8,9,10,12],[1,6,7,8,9,11,12],[2,3,7,8,9,13,14],[2,3,7,10,11,12,14],[2,4,5,8,11,12,14],[2,4,6,7,9,12,14],[2,4,6,8,9,10,14],[2,5,6,9,10,11,13],[2,5,7,8,10,12,13],[3,4,5,7,9,11,13],[3,4,6,7,10,12,13],[3,4,8,9,11,12,13],[3,5,6,8,12,13,14],[3,5,6,9,10,11,14],[4,5,6,7,8,10,11]]; G[4883]:=Group([(2,13)(3,14)(5,10)(6,11)(7,8)]); # Design 4884: autom. group order 2, simple, residual B[4884]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,9,11,12,13],[1,3,5,9,10,12,14],[1,3,6,7,8,11,14],[1,4,5,6,12,13,14],[1,4,7,9,10,13,14],[1,4,8,10,11,13,14],[1,5,7,8,9,10,12],[1,6,7,8,9,11,12],[2,3,7,8,12,13,14],[2,3,7,9,10,11,14],[2,4,5,8,9,11,14],[2,4,6,7,9,12,14],[2,4,6,8,10,12,14],[2,5,6,9,10,11,13],[2,5,7,8,10,12,13],[3,4,5,7,11,12,13],[3,4,6,7,9,10,13],[3,4,8,9,11,12,13],[3,5,6,8,9,13,14],[3,5,6,10,11,12,14],[4,5,6,7,8,10,11]]; G[4884]:=Group([(2,13)(3,14)(5,10)(6,11)(7,8)]); # Design 4885: autom. group order 2, simple, residual B[4885]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,9,11,12,13],[1,3,5,9,10,12,14],[1,3,6,7,8,11,14],[1,4,5,6,12,13,14],[1,4,7,9,10,13,14],[1,4,8,10,11,13,14],[1,5,7,8,9,10,12],[1,6,7,8,9,11,12],[2,3,7,8,12,13,14],[2,3,7,9,10,11,14],[2,4,5,8,11,12,14],[2,4,6,7,9,12,14],[2,4,6,8,9,10,14],[2,5,6,9,10,11,13],[2,5,7,8,10,12,13],[3,4,5,7,9,11,13],[3,4,6,7,10,12,13],[3,4,8,9,11,12,13],[3,5,6,8,9,13,14],[3,5,6,10,11,12,14],[4,5,6,7,8,10,11]]; G[4885]:=Group([(2,13)(3,14)(5,10)(6,11)(7,8)]); # Design 4886: autom. group order 2, simple, residual B[4886]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,9,11,12,14],[1,3,5,9,12,13,14],[1,3,6,7,8,12,13],[1,4,5,6,9,13,14],[1,4,7,10,12,13,14],[1,4,8,10,11,13,14],[1,5,7,8,9,10,11],[1,6,7,8,9,11,12],[2,3,7,9,11,13,14],[2,3,8,9,10,12,14],[2,4,5,7,11,12,13],[2,4,6,7,8,12,14],[2,4,6,8,9,10,13],[2,5,6,8,11,13,14],[2,5,7,9,10,12,13],[3,4,5,8,11,12,14],[3,4,6,7,9,10,14],[3,4,7,8,9,11,13],[3,5,6,7,10,11,14],[3,5,6,8,10,12,13],[4,5,6,9,10,11,12]]; G[4886]:=Group([(2,14)(3,13)(5,10)(6,12)(9,11)]); # Design 4887: autom. group order 2, simple B[4887]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,13],[1,3,5,9,11,12,14],[1,3,6,7,8,11,12],[1,4,5,6,9,13,14],[1,4,7,10,11,13,14],[1,4,8,11,12,13,14],[1,5,7,8,9,10,14],[1,6,7,8,9,10,12],[2,3,7,9,10,11,14],[2,3,8,9,12,13,14],[2,4,5,7,10,12,14],[2,4,6,7,8,12,14],[2,4,6,8,9,11,14],[2,5,6,8,10,11,13],[2,5,7,9,11,12,13],[3,4,5,8,10,12,13],[3,4,6,7,9,11,13],[3,4,7,8,9,10,13],[3,5,6,7,12,13,14],[3,5,6,8,10,11,14],[4,5,6,9,10,11,12]]; G[4887]:=Group([(2,13)(3,14)(5,11)(6,10)(9,12)]); # Design 4888: autom. group order 2, simple B[4888]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,13],[1,3,5,9,11,12,14],[1,3,6,7,8,11,12],[1,4,5,6,9,13,14],[1,4,7,10,11,13,14],[1,4,8,11,12,13,14],[1,5,7,8,9,10,14],[1,6,7,8,9,10,12],[2,3,7,9,12,13,14],[2,3,8,9,10,11,14],[2,4,5,8,10,12,14],[2,4,6,7,8,12,14],[2,4,6,7,9,11,14],[2,5,6,8,10,11,13],[2,5,7,9,11,12,13],[3,4,5,7,10,12,13],[3,4,6,8,9,11,13],[3,4,7,8,9,10,13],[3,5,6,7,10,11,14],[3,5,6,8,12,13,14],[4,5,6,9,10,11,12]]; G[4888]:=Group([(2,13)(3,14)(5,11)(6,10)(9,12)]); # Design 4889: autom. group order 2, simple, residual B[4889]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,11,14],[1,2,6,7,8,12,14],[1,3,5,7,12,13,14],[1,3,6,9,11,12,13],[1,4,5,6,11,13,14],[1,4,7,9,10,13,14],[1,4,8,10,12,13,14],[1,5,7,8,9,10,11],[1,6,7,8,9,11,12],[2,3,7,8,11,13,14],[2,3,7,9,10,12,14],[2,4,5,7,9,12,13],[2,4,6,7,10,11,13],[2,4,6,9,11,12,14],[2,5,6,8,9,13,14],[2,5,8,10,11,12,13],[3,4,5,8,11,12,14],[3,4,6,8,9,10,14],[3,4,7,8,9,11,13],[3,5,6,7,10,11,14],[3,5,6,9,10,12,13],[4,5,6,7,8,10,12]]; G[4889]:=Group([(2,14)(3,13)(5,10)(6,12)(7,8)]); # Design 4890: autom. group order 2, simple, residual B[4890]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,11,14],[1,2,6,7,8,12,14],[1,3,5,7,12,13,14],[1,3,6,9,11,12,13],[1,4,5,6,11,13,14],[1,4,7,9,10,13,14],[1,4,8,10,12,13,14],[1,5,7,8,9,10,11],[1,6,7,8,9,11,12],[2,3,7,8,11,13,14],[2,3,7,9,10,12,14],[2,4,5,7,11,12,13],[2,4,6,7,9,10,13],[2,4,6,9,11,12,14],[2,5,6,8,9,13,14],[2,5,8,10,11,12,13],[3,4,5,8,9,12,14],[3,4,6,8,10,11,14],[3,4,7,8,9,11,13],[3,5,6,7,10,11,14],[3,5,6,9,10,12,13],[4,5,6,7,8,10,12]]; G[4890]:=Group([(2,14)(3,13)(5,10)(6,12)(7,8)]); # Design 4891: autom. group order 2, simple B[4891]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,9,10,13],[1,3,5,7,9,11,14],[1,3,6,8,9,11,12],[1,4,5,6,12,13,14],[1,4,7,8,11,13,14],[1,4,9,10,11,13,14],[1,5,7,8,10,12,14],[1,6,7,8,9,10,12],[2,3,7,8,9,13,14],[2,3,7,10,11,12,14],[2,4,5,9,10,12,14],[2,4,6,7,8,12,14],[2,4,6,8,9,11,14],[2,5,6,8,10,11,13],[2,5,7,9,11,12,13],[3,4,5,7,8,10,13],[3,4,6,7,11,12,13],[3,4,8,9,10,12,13],[3,5,6,8,10,11,14],[3,5,6,9,12,13,14],[4,5,6,7,9,10,11]]; G[4891]:=Group([(2,13)(3,14)(5,11)(6,10)(7,9)]); # Design 4892: autom. group order 2, simple B[4892]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,9,10,13],[1,3,5,7,9,11,14],[1,3,6,8,9,11,12],[1,4,5,6,12,13,14],[1,4,7,8,11,13,14],[1,4,9,10,11,13,14],[1,5,7,8,10,12,14],[1,6,7,8,9,10,12],[2,3,7,8,10,11,14],[2,3,7,9,12,13,14],[2,4,5,9,10,12,14],[2,4,6,7,8,12,14],[2,4,6,8,9,11,14],[2,5,6,8,10,11,13],[2,5,7,9,11,12,13],[3,4,5,7,8,10,13],[3,4,6,7,11,12,13],[3,4,8,9,10,12,13],[3,5,6,8,9,13,14],[3,5,6,10,11,12,14],[4,5,6,7,9,10,11]]; G[4892]:=Group([(2,13)(3,14)(5,11)(6,10)(7,9)]); # Design 4893: autom. group order 2, simple B[4893]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,9,10,13],[1,3,5,7,9,11,14],[1,3,6,8,9,11,12],[1,4,5,6,12,13,14],[1,4,7,8,11,13,14],[1,4,9,10,11,13,14],[1,5,7,8,10,12,14],[1,6,7,8,9,10,12],[2,3,7,8,10,11,14],[2,3,7,9,12,13,14],[2,4,5,8,9,10,14],[2,4,6,7,8,12,14],[2,4,6,9,11,12,14],[2,5,6,8,10,11,13],[2,5,7,9,11,12,13],[3,4,5,7,10,12,13],[3,4,6,7,8,11,13],[3,4,8,9,10,12,13],[3,5,6,8,9,13,14],[3,5,6,10,11,12,14],[4,5,6,7,9,10,11]]; G[4893]:=Group([(2,13)(3,14)(5,11)(6,10)(7,9)]); # Design 4894: autom. group order 2, simple B[4894]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,6,7,9,12,13],[1,3,5,7,9,10,14],[1,3,6,8,11,12,14],[1,4,5,6,8,13,14],[1,4,7,10,12,13,14],[1,4,9,10,11,13,14],[1,5,7,8,9,10,11],[1,6,7,8,9,11,12],[2,3,7,8,10,12,14],[2,3,8,9,11,13,14],[2,4,5,7,11,12,14],[2,4,6,7,9,11,14],[2,4,6,8,9,10,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,13],[3,4,5,9,11,12,13],[3,4,6,7,8,10,13],[3,4,7,8,9,12,13],[3,5,6,7,11,13,14],[3,5,6,9,10,12,14],[4,5,6,8,10,11,12]]; G[4894]:=Group([(2,13)(3,14)(5,10)(6,12)(8,11)]); # Design 4895: autom. group order 2, simple, residual B[4895]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,9,11,12],[1,3,5,7,9,11,14],[1,3,6,8,10,12,14],[1,4,5,6,8,13,14],[1,4,7,10,11,13,14],[1,4,9,11,12,13,14],[1,5,7,8,9,10,13],[1,6,7,8,9,10,12],[2,3,7,8,12,13,14],[2,3,8,9,10,11,13],[2,4,5,7,10,12,14],[2,4,6,7,9,10,13],[2,4,6,8,9,11,14],[2,5,6,9,12,13,14],[2,5,7,8,10,11,14],[3,4,5,9,10,12,13],[3,4,6,7,8,11,13],[3,4,7,8,9,12,14],[3,5,6,7,11,12,13],[3,5,6,9,10,11,14],[4,5,6,8,10,11,12]]; G[4895]:=Group([(2,13)(3,14)(5,11)(6,10)(8,12)]); # Design 4896: autom. group order 2, simple, residual B[4896]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,6,7,9,12,13],[1,3,5,7,9,10,14],[1,3,6,8,11,12,14],[1,4,5,6,8,13,14],[1,4,7,10,12,13,14],[1,4,9,10,11,13,14],[1,5,7,8,9,10,11],[1,6,7,8,9,11,12],[2,3,7,8,11,13,14],[2,3,8,9,10,12,14],[2,4,5,9,11,12,14],[2,4,6,7,8,10,14],[2,4,6,7,9,11,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,13],[3,4,5,7,11,12,13],[3,4,6,8,9,10,13],[3,4,7,8,9,12,13],[3,5,6,7,10,12,14],[3,5,6,9,11,13,14],[4,5,6,8,10,11,12]]; G[4896]:=Group([(2,13)(3,14)(5,10)(6,12)(8,11)]); # Design 4897: autom. group order 2, simple B[4897]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,7,9,12,14],[1,3,5,8,12,13,14],[1,3,6,9,11,13,14],[1,4,5,9,10,13,14],[1,4,6,7,8,11,14],[1,4,6,8,9,12,13],[1,5,7,10,11,12,13],[1,7,8,9,10,11,12],[2,3,7,9,12,13,14],[2,3,8,9,10,11,14],[2,4,5,11,12,13,14],[2,4,6,8,10,12,13],[2,4,7,8,9,11,13],[2,5,6,7,9,10,13],[2,5,6,8,11,12,14],[3,4,5,7,9,11,12],[3,4,6,7,10,12,14],[3,4,7,8,10,13,14],[3,5,6,7,8,11,13],[3,5,6,8,9,10,12],[4,5,6,9,10,11,14]]; G[4897]:=Group([(2,10)(3,11)(4,12)(5,7)(6,13)]); # Design 4898: autom. group order 2, simple B[4898]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,7,9,12,14],[1,3,5,8,12,13,14],[1,3,6,9,11,13,14],[1,4,5,9,10,13,14],[1,4,6,7,8,11,14],[1,4,6,8,9,12,13],[1,5,7,10,11,12,13],[1,7,8,9,10,11,12],[2,3,7,9,12,13,14],[2,3,8,9,10,11,14],[2,4,5,11,12,13,14],[2,4,6,8,10,12,13],[2,4,7,8,11,13,14],[2,5,6,7,9,10,13],[2,5,6,8,9,11,12],[3,4,5,7,9,11,12],[3,4,6,7,10,12,14],[3,4,7,8,9,10,13],[3,5,6,7,8,11,13],[3,5,6,8,10,12,14],[4,5,6,9,10,11,14]]; G[4898]:=Group([(2,10)(3,11)(4,12)(5,7)(6,13)]); # Design 4899: autom. group order 2, simple B[4899]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,7,9,12,14],[1,3,5,8,12,13,14],[1,3,6,9,11,13,14],[1,4,5,9,10,13,14],[1,4,6,7,8,11,14],[1,4,6,8,9,12,13],[1,5,7,10,11,12,13],[1,7,8,9,10,11,12],[2,3,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,11,12,13,14],[2,4,6,8,10,12,13],[2,4,7,9,11,13,14],[2,5,6,7,9,10,13],[2,5,6,8,11,12,14],[3,4,5,7,9,11,12],[3,4,6,7,10,12,14],[3,4,7,8,10,13,14],[3,5,6,7,8,11,13],[3,5,6,9,10,12,14],[4,5,6,8,9,10,11]]; G[4899]:=Group([(2,10)(3,11)(4,12)(5,7)(6,13)]); # Design 4900: autom. group order 2, simple B[4900]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,7,9,12,14],[1,3,5,8,12,13,14],[1,3,6,9,11,13,14],[1,4,5,9,10,13,14],[1,4,6,7,8,11,14],[1,4,6,8,9,12,13],[1,5,7,10,11,12,13],[1,7,8,9,10,11,12],[2,3,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,11,12,13,14],[2,4,6,8,10,12,13],[2,4,7,9,11,13,14],[2,5,6,7,9,10,13],[2,5,6,8,9,11,12],[3,4,5,7,9,11,12],[3,4,6,7,10,12,14],[3,4,7,8,9,10,13],[3,5,6,7,8,11,13],[3,5,6,9,10,12,14],[4,5,6,8,10,11,14]]; G[4900]:=Group([(2,10)(3,11)(4,12)(5,7)(6,13)]); # Design 4901: autom. group order 2, simple B[4901]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,7,9,12,14],[1,3,5,8,12,13,14],[1,3,6,9,11,13,14],[1,4,5,9,10,13,14],[1,4,6,7,8,11,14],[1,4,6,8,9,12,13],[1,5,7,10,11,12,13],[1,7,8,9,10,11,12],[2,3,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,11,12,13,14],[2,4,6,8,10,12,13],[2,4,7,8,11,13,14],[2,5,6,7,9,10,13],[2,5,6,9,11,12,14],[3,4,5,7,9,11,12],[3,4,6,7,10,12,14],[3,4,7,9,10,13,14],[3,5,6,7,8,11,13],[3,5,6,8,10,12,14],[4,5,6,8,9,10,11]]; G[4901]:=Group([(2,10)(3,11)(4,12)(5,7)(6,13)]); # Design 4902: autom. group order 2, simple B[4902]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,7,9,12,14],[1,3,5,8,12,13,14],[1,3,6,9,11,13,14],[1,4,5,9,10,13,14],[1,4,6,7,8,11,14],[1,4,6,8,9,12,13],[1,5,7,10,11,12,13],[1,7,8,9,10,11,12],[2,3,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,11,12,13,14],[2,4,6,8,10,12,13],[2,4,7,8,9,11,13],[2,5,6,7,9,10,13],[2,5,6,9,11,12,14],[3,4,5,7,9,11,12],[3,4,6,7,10,12,14],[3,4,7,9,10,13,14],[3,5,6,7,8,11,13],[3,5,6,8,9,10,12],[4,5,6,8,10,11,14]]; G[4902]:=Group([(2,10)(3,11)(4,12)(5,7)(6,13)]); # Design 4903: autom. group order 2, simple B[4903]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,11,13],[1,3,5,7,9,12,14],[1,3,6,8,10,12,14],[1,4,5,11,12,13,14],[1,4,6,7,8,11,14],[1,4,6,7,9,12,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,11,14],[2,4,6,8,9,12,13],[2,4,7,9,10,12,14],[2,5,6,7,8,10,12],[2,5,6,8,11,12,14],[3,4,5,8,10,12,13],[3,4,6,8,9,11,14],[3,4,7,8,10,11,13],[3,5,6,7,9,10,11],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[4903]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4904: autom. group order 2, simple B[4904]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,11,13],[1,3,5,7,9,12,14],[1,3,6,8,10,12,14],[1,4,5,11,12,13,14],[1,4,6,7,8,11,14],[1,4,6,7,9,12,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,12,14],[2,4,6,8,9,12,13],[2,4,7,9,10,11,14],[2,5,6,7,8,10,12],[2,5,6,8,11,12,14],[3,4,5,8,10,11,13],[3,4,6,8,9,11,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[4904]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4905: autom. group order 2, simple B[4905]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,14],[1,3,5,7,9,12,14],[1,3,6,8,10,11,13],[1,4,5,11,12,13,14],[1,4,6,7,8,11,14],[1,4,6,7,9,12,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,11,13],[2,4,6,8,9,12,13],[2,4,7,9,10,11,14],[2,5,6,7,8,10,12],[2,5,6,8,11,12,14],[3,4,5,8,10,12,14],[3,4,6,8,9,11,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[4905]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4906: autom. group order 2, simple B[4906]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,14],[1,3,5,7,9,12,14],[1,3,6,8,10,11,13],[1,4,5,11,12,13,14],[1,4,6,7,8,11,14],[1,4,6,7,9,12,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,11,14],[2,4,6,8,9,12,13],[2,4,7,9,10,11,13],[2,5,6,7,8,10,12],[2,5,6,8,11,12,14],[3,4,5,8,10,12,13],[3,4,6,8,9,11,14],[3,4,7,8,10,12,14],[3,5,6,7,9,10,11],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[4906]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4907: autom. group order 2, simple B[4907]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,13],[1,3,5,7,9,12,14],[1,3,6,8,10,11,14],[1,4,5,11,12,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,11,14],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,11,13],[2,4,6,8,9,11,14],[2,4,7,9,10,12,14],[2,5,6,7,8,10,12],[2,5,6,8,11,12,14],[3,4,5,8,10,12,14],[3,4,6,8,9,12,13],[3,4,7,8,10,11,13],[3,5,6,7,9,10,11],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[4907]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4908: autom. group order 2, simple B[4908]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,14],[1,3,5,7,9,12,14],[1,3,6,8,10,11,13],[1,4,5,11,12,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,11,14],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,11,13],[2,4,6,8,9,11,14],[2,4,7,9,10,12,13],[2,5,6,7,8,10,12],[2,5,6,8,11,12,14],[3,4,5,8,10,12,14],[3,4,6,8,9,12,13],[3,4,7,8,10,11,14],[3,5,6,7,9,10,11],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[4908]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4909: autom. group order 2, simple B[4909]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,13],[1,3,5,7,9,12,14],[1,3,6,8,10,11,14],[1,4,5,11,12,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,11,14],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,12,14],[2,4,6,8,9,11,14],[2,4,7,9,10,11,13],[2,5,6,7,8,10,12],[2,5,6,8,11,12,14],[3,4,5,8,10,11,13],[3,4,6,8,9,12,13],[3,4,7,8,10,12,14],[3,5,6,7,9,10,11],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[4909]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4910: autom. group order 2, simple B[4910]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,14],[1,3,5,7,9,12,14],[1,3,6,8,10,11,13],[1,4,5,11,12,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,11,14],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,12,13],[2,4,6,8,9,11,14],[2,4,7,9,10,11,13],[2,5,6,7,8,10,12],[2,5,6,8,11,12,14],[3,4,5,8,10,11,14],[3,4,6,8,9,12,13],[3,4,7,8,10,12,14],[3,5,6,7,9,10,11],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[4910]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4911: autom. group order 2, simple B[4911]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,11,13],[1,3,5,7,9,12,14],[1,3,6,8,10,12,14],[1,4,5,11,12,13,14],[1,4,6,7,8,11,14],[1,4,6,7,9,12,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,11,14],[2,4,6,8,9,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,10,12],[2,5,6,8,11,12,14],[3,4,5,8,10,12,13],[3,4,6,8,9,11,13],[3,4,7,9,10,11,14],[3,5,6,7,8,10,11],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[4911]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4912: autom. group order 2, simple B[4912]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,11,14],[1,3,5,7,9,12,14],[1,3,6,8,10,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,11,14],[1,4,6,7,9,12,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,11,13],[2,4,6,8,9,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,10,12],[2,5,6,8,11,12,14],[3,4,5,8,10,12,14],[3,4,6,8,9,11,13],[3,4,7,9,10,11,14],[3,5,6,7,8,10,11],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[4912]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4913: autom. group order 2, simple B[4913]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,11,14],[1,3,5,7,9,12,14],[1,3,6,8,10,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,11,13],[1,4,6,7,9,12,14],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,12,13],[2,4,6,8,9,12,13],[2,4,7,8,10,12,14],[2,5,6,7,9,10,11],[2,5,6,8,11,12,14],[3,4,5,8,10,11,14],[3,4,6,8,9,11,14],[3,4,7,9,10,11,13],[3,5,6,7,8,10,12],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[4913]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4914: autom. group order 2, simple B[4914]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,11,14],[1,3,5,7,9,12,14],[1,3,6,8,10,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,11,14],[1,4,6,7,9,12,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,12,13],[2,4,6,8,9,12,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,11],[2,5,6,8,11,12,13],[3,4,5,8,10,11,14],[3,4,6,8,9,11,13],[3,4,7,9,10,11,13],[3,5,6,7,8,10,12],[3,5,6,9,11,12,14],[4,5,6,7,10,13,14]]; G[4914]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4915: autom. group order 2, simple B[4915]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,11,14],[1,3,5,7,9,12,14],[1,3,6,8,10,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,11,14],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,12,13],[2,4,6,8,9,11,13],[2,4,7,8,10,12,14],[2,5,6,7,9,10,12],[2,5,6,8,11,12,14],[3,4,5,8,10,11,14],[3,4,6,8,9,12,14],[3,4,7,9,10,11,13],[3,5,6,7,8,10,11],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[4915]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4916: autom. group order 2, simple B[4916]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,11,14],[1,3,5,7,9,12,14],[1,3,6,8,10,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,12,14],[1,4,6,7,9,11,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,12,13],[2,4,6,8,9,11,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,12],[2,5,6,8,11,12,13],[3,4,5,8,10,11,14],[3,4,6,8,9,12,13],[3,4,7,9,10,11,13],[3,5,6,7,8,10,11],[3,5,6,9,11,12,14],[4,5,6,7,10,13,14]]; G[4916]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4917: autom. group order 2, simple B[4917]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,13],[1,3,5,7,9,12,14],[1,3,6,8,10,11,14],[1,4,5,11,12,13,14],[1,4,6,7,8,11,13],[1,4,6,7,9,12,14],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,11,14],[2,4,6,8,9,12,13],[2,4,7,8,10,12,14],[2,5,6,7,9,10,11],[2,5,6,8,11,12,14],[3,4,5,8,10,12,13],[3,4,6,8,9,11,14],[3,4,7,9,10,11,13],[3,5,6,7,8,10,12],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[4917]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4918: autom. group order 2, simple B[4918]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,13],[1,3,5,7,9,12,14],[1,3,6,8,10,11,14],[1,4,5,11,12,13,14],[1,4,6,7,8,11,14],[1,4,6,7,9,12,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,11,14],[2,4,6,8,9,12,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,11],[2,5,6,8,11,12,13],[3,4,5,8,10,12,13],[3,4,6,8,9,11,13],[3,4,7,9,10,11,13],[3,5,6,7,8,10,12],[3,5,6,9,11,12,14],[4,5,6,7,10,13,14]]; G[4918]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4919: autom. group order 2, simple B[4919]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,13],[1,3,5,7,9,12,14],[1,3,6,8,10,11,14],[1,4,5,11,12,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,11,14],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,11,14],[2,4,6,8,9,11,13],[2,4,7,8,10,12,14],[2,5,6,7,9,10,12],[2,5,6,8,11,12,14],[3,4,5,8,10,12,13],[3,4,6,8,9,12,14],[3,4,7,9,10,11,13],[3,5,6,7,8,10,11],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[4919]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4920: autom. group order 2, simple B[4920]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,13],[1,3,5,7,9,12,14],[1,3,6,8,10,11,14],[1,4,5,11,12,13,14],[1,4,6,7,8,12,14],[1,4,6,7,9,11,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,11,14],[2,4,6,8,9,11,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,12],[2,5,6,8,11,12,13],[3,4,5,8,10,12,13],[3,4,6,8,9,12,13],[3,4,7,9,10,11,13],[3,5,6,7,8,10,11],[3,5,6,9,11,12,14],[4,5,6,7,10,13,14]]; G[4920]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4921: autom. group order 2, simple B[4921]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,13],[1,3,5,7,9,12,14],[1,3,6,8,10,11,14],[1,4,5,11,12,13,14],[1,4,6,7,8,12,14],[1,4,6,7,9,11,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,12,14],[2,4,6,8,9,11,14],[2,4,7,8,10,12,13],[2,5,6,7,9,10,11],[2,5,6,8,11,12,14],[3,4,5,8,10,11,13],[3,4,6,8,9,12,13],[3,4,7,9,10,11,14],[3,5,6,7,8,10,12],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[4921]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4922: autom. group order 2, simple B[4922]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,14],[1,3,5,7,9,12,14],[1,3,6,8,10,11,13],[1,4,5,11,12,13,14],[1,4,6,7,8,12,14],[1,4,6,7,9,11,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,12,13],[2,4,6,8,9,11,14],[2,4,7,8,10,12,13],[2,5,6,7,9,10,11],[2,5,6,8,11,12,14],[3,4,5,8,10,11,14],[3,4,6,8,9,12,13],[3,4,7,9,10,11,14],[3,5,6,7,8,10,12],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[4922]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4923: autom. group order 2, simple B[4923]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,11,14],[1,3,5,7,9,12,14],[1,3,6,8,10,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,11,14],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,12,13],[2,4,6,8,9,12,14],[2,4,7,8,10,12,14],[2,5,6,7,8,10,11],[2,5,6,9,11,12,13],[3,4,5,8,10,11,14],[3,4,6,8,9,11,13],[3,4,7,9,10,11,13],[3,5,6,7,9,10,12],[3,5,6,8,11,12,14],[4,5,6,7,10,13,14]]; G[4923]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4924: autom. group order 2, simple B[4924]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,11,14],[1,3,5,7,9,12,14],[1,3,6,8,10,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,12,14],[1,4,6,7,9,11,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,12,13],[2,4,6,8,9,12,13],[2,4,7,8,10,12,14],[2,5,6,7,8,10,11],[2,5,6,9,11,12,14],[3,4,5,8,10,11,14],[3,4,6,8,9,11,14],[3,4,7,9,10,11,13],[3,5,6,7,9,10,12],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[4924]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4925: autom. group order 2, simple B[4925]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,13],[1,3,5,7,9,12,14],[1,3,6,8,10,11,14],[1,4,5,11,12,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,11,14],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,11,13],[2,4,6,8,9,12,14],[2,4,7,8,10,11,14],[2,5,6,7,8,10,12],[2,5,6,9,11,12,14],[3,4,5,8,10,12,14],[3,4,6,8,9,11,13],[3,4,7,9,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[4925]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4926: autom. group order 2, simple B[4926]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,14],[1,3,5,7,9,12,14],[1,3,6,8,10,11,13],[1,4,5,11,12,13,14],[1,4,6,7,8,12,14],[1,4,6,7,9,11,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,11,14],[2,4,6,8,9,12,13],[2,4,7,8,10,11,14],[2,5,6,7,8,10,12],[2,5,6,9,11,12,13],[3,4,5,8,10,12,13],[3,4,6,8,9,11,14],[3,4,7,9,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,11,12,14],[4,5,6,7,10,13,14]]; G[4926]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4927: autom. group order 2, simple B[4927]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,13],[1,3,5,7,9,12,14],[1,3,6,8,10,11,14],[1,4,5,11,12,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,11,14],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,11,14],[2,4,6,8,9,12,14],[2,4,7,8,10,12,14],[2,5,6,7,8,10,11],[2,5,6,9,11,12,13],[3,4,5,8,10,12,13],[3,4,6,8,9,11,13],[3,4,7,9,10,11,13],[3,5,6,7,9,10,12],[3,5,6,8,11,12,14],[4,5,6,7,10,13,14]]; G[4927]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4928: autom. group order 2, simple B[4928]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,13],[1,3,5,7,9,12,14],[1,3,6,8,10,11,14],[1,4,5,11,12,13,14],[1,4,6,7,8,12,14],[1,4,6,7,9,11,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,11,14],[2,4,6,8,9,12,13],[2,4,7,8,10,12,14],[2,5,6,7,8,10,11],[2,5,6,9,11,12,14],[3,4,5,8,10,12,13],[3,4,6,8,9,11,14],[3,4,7,9,10,11,13],[3,5,6,7,9,10,12],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[4928]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4929: autom. group order 2, simple B[4929]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,11,13],[1,3,5,7,9,12,14],[1,3,6,8,10,12,14],[1,4,5,11,12,13,14],[1,4,6,7,8,11,14],[1,4,6,7,9,12,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,8,10,12,13],[2,4,6,8,9,12,14],[2,4,7,9,10,11,14],[2,5,6,7,9,10,12],[2,5,6,8,11,12,14],[3,4,5,9,10,11,14],[3,4,6,8,9,11,13],[3,4,7,8,10,12,13],[3,5,6,7,8,10,11],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[4929]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4930: autom. group order 2, simple B[4930]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,11,14],[1,3,5,7,9,12,14],[1,3,6,8,10,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,11,14],[1,4,6,7,9,12,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,8,10,12,13],[2,4,6,8,9,12,14],[2,4,7,9,10,11,13],[2,5,6,7,9,10,12],[2,5,6,8,11,12,14],[3,4,5,9,10,11,14],[3,4,6,8,9,11,13],[3,4,7,8,10,12,14],[3,5,6,7,8,10,11],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[4930]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4931: autom. group order 2, simple B[4931]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,11,14],[1,3,5,7,9,12,14],[1,3,6,8,10,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,11,13],[1,4,6,7,9,12,14],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,8,10,12,14],[2,4,6,8,9,12,13],[2,4,7,9,10,12,13],[2,5,6,7,9,10,11],[2,5,6,8,11,12,14],[3,4,5,9,10,11,13],[3,4,6,8,9,11,14],[3,4,7,8,10,11,14],[3,5,6,7,8,10,12],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[4931]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4932: autom. group order 2, simple B[4932]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,11,14],[1,3,5,7,9,12,14],[1,3,6,8,10,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,11,14],[1,4,6,7,9,12,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,8,10,12,14],[2,4,6,8,9,12,14],[2,4,7,9,10,12,13],[2,5,6,7,9,10,11],[2,5,6,8,11,12,13],[3,4,5,9,10,11,13],[3,4,6,8,9,11,13],[3,4,7,8,10,11,14],[3,5,6,7,8,10,12],[3,5,6,9,11,12,14],[4,5,6,7,10,13,14]]; G[4932]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4933: autom. group order 2, simple B[4933]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,11,14],[1,3,5,7,9,12,14],[1,3,6,8,10,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,11,14],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,8,10,12,14],[2,4,6,8,9,11,13],[2,4,7,9,10,12,13],[2,5,6,7,9,10,12],[2,5,6,8,11,12,14],[3,4,5,9,10,11,13],[3,4,6,8,9,12,14],[3,4,7,8,10,11,14],[3,5,6,7,8,10,11],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[4933]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4934: autom. group order 2, simple B[4934]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,11,14],[1,3,5,7,9,12,14],[1,3,6,8,10,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,12,14],[1,4,6,7,9,11,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,8,10,12,14],[2,4,6,8,9,11,14],[2,4,7,9,10,12,13],[2,5,6,7,9,10,12],[2,5,6,8,11,12,13],[3,4,5,9,10,11,13],[3,4,6,8,9,12,13],[3,4,7,8,10,11,14],[3,5,6,7,8,10,11],[3,5,6,9,11,12,14],[4,5,6,7,10,13,14]]; G[4934]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4935: autom. group order 2, simple B[4935]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,13],[1,3,5,7,9,12,14],[1,3,6,8,10,11,14],[1,4,5,11,12,13,14],[1,4,6,7,8,11,13],[1,4,6,7,9,12,14],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,8,10,12,14],[2,4,6,8,9,12,13],[2,4,7,9,10,11,14],[2,5,6,7,9,10,11],[2,5,6,8,11,12,14],[3,4,5,9,10,11,13],[3,4,6,8,9,11,14],[3,4,7,8,10,12,13],[3,5,6,7,8,10,12],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[4935]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4936: autom. group order 2, simple B[4936]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,13],[1,3,5,7,9,12,14],[1,3,6,8,10,11,14],[1,4,5,11,12,13,14],[1,4,6,7,8,11,14],[1,4,6,7,9,12,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,8,10,12,14],[2,4,6,8,9,12,14],[2,4,7,9,10,11,14],[2,5,6,7,9,10,11],[2,5,6,8,11,12,13],[3,4,5,9,10,11,13],[3,4,6,8,9,11,13],[3,4,7,8,10,12,13],[3,5,6,7,8,10,12],[3,5,6,9,11,12,14],[4,5,6,7,10,13,14]]; G[4936]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4937: autom. group order 2, simple B[4937]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,13],[1,3,5,7,9,12,14],[1,3,6,8,10,11,14],[1,4,5,11,12,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,11,14],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,8,10,12,14],[2,4,6,8,9,11,13],[2,4,7,9,10,11,14],[2,5,6,7,9,10,12],[2,5,6,8,11,12,14],[3,4,5,9,10,11,13],[3,4,6,8,9,12,14],[3,4,7,8,10,12,13],[3,5,6,7,8,10,11],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[4937]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4938: autom. group order 2, simple B[4938]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,13],[1,3,5,7,9,12,14],[1,3,6,8,10,11,14],[1,4,5,11,12,13,14],[1,4,6,7,8,12,14],[1,4,6,7,9,11,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,8,10,12,14],[2,4,6,8,9,11,14],[2,4,7,9,10,11,14],[2,5,6,7,9,10,12],[2,5,6,8,11,12,13],[3,4,5,9,10,11,13],[3,4,6,8,9,12,13],[3,4,7,8,10,12,13],[3,5,6,7,8,10,11],[3,5,6,9,11,12,14],[4,5,6,7,10,13,14]]; G[4938]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4939: autom. group order 2, simple B[4939]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,13],[1,3,5,7,9,12,14],[1,3,6,8,10,11,14],[1,4,5,11,12,13,14],[1,4,6,7,8,12,14],[1,4,6,7,9,11,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,8,10,12,13],[2,4,6,8,9,11,14],[2,4,7,9,10,12,14],[2,5,6,7,9,10,11],[2,5,6,8,11,12,14],[3,4,5,9,10,11,14],[3,4,6,8,9,12,13],[3,4,7,8,10,11,13],[3,5,6,7,8,10,12],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[4939]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4940: autom. group order 2, simple B[4940]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,14],[1,3,5,7,9,12,14],[1,3,6,8,10,11,13],[1,4,5,11,12,13,14],[1,4,6,7,8,12,14],[1,4,6,7,9,11,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,8,10,12,13],[2,4,6,8,9,11,14],[2,4,7,9,10,12,13],[2,5,6,7,9,10,11],[2,5,6,8,11,12,14],[3,4,5,9,10,11,14],[3,4,6,8,9,12,13],[3,4,7,8,10,11,14],[3,5,6,7,8,10,12],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[4940]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4941: autom. group order 2, simple B[4941]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,11,14],[1,3,5,7,9,12,14],[1,3,6,8,10,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,11,13],[1,4,6,7,9,12,14],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,8,10,12,14],[2,4,6,8,9,11,14],[2,4,7,9,10,12,13],[2,5,6,7,8,10,12],[2,5,6,9,11,12,13],[3,4,5,9,10,11,13],[3,4,6,8,9,12,13],[3,4,7,8,10,11,14],[3,5,6,7,9,10,11],[3,5,6,8,11,12,14],[4,5,6,7,10,13,14]]; G[4941]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4942: autom. group order 2, simple B[4942]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,11,14],[1,3,5,7,9,12,14],[1,3,6,8,10,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,11,14],[1,4,6,7,9,12,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,8,10,12,14],[2,4,6,8,9,11,13],[2,4,7,9,10,12,13],[2,5,6,7,8,10,12],[2,5,6,9,11,12,14],[3,4,5,9,10,11,13],[3,4,6,8,9,12,14],[3,4,7,8,10,11,14],[3,5,6,7,9,10,11],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[4942]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4943: autom. group order 2, simple B[4943]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,11,14],[1,3,5,7,9,12,14],[1,3,6,8,10,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,11,14],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,8,10,12,14],[2,4,6,8,9,12,14],[2,4,7,9,10,12,13],[2,5,6,7,8,10,11],[2,5,6,9,11,12,13],[3,4,5,9,10,11,13],[3,4,6,8,9,11,13],[3,4,7,8,10,11,14],[3,5,6,7,9,10,12],[3,5,6,8,11,12,14],[4,5,6,7,10,13,14]]; G[4943]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4944: autom. group order 2, simple B[4944]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,11,14],[1,3,5,7,9,12,14],[1,3,6,8,10,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,12,14],[1,4,6,7,9,11,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,8,10,12,14],[2,4,6,8,9,12,13],[2,4,7,9,10,12,13],[2,5,6,7,8,10,11],[2,5,6,9,11,12,14],[3,4,5,9,10,11,13],[3,4,6,8,9,11,14],[3,4,7,8,10,11,14],[3,5,6,7,9,10,12],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[4944]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4945: autom. group order 2, simple B[4945]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,13],[1,3,5,7,9,12,14],[1,3,6,8,10,11,14],[1,4,5,11,12,13,14],[1,4,6,7,8,11,13],[1,4,6,7,9,12,14],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,8,10,12,14],[2,4,6,8,9,11,14],[2,4,7,9,10,11,14],[2,5,6,7,8,10,12],[2,5,6,9,11,12,13],[3,4,5,9,10,11,13],[3,4,6,8,9,12,13],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,11,12,14],[4,5,6,7,10,13,14]]; G[4945]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4946: autom. group order 2, simple B[4946]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,13],[1,3,5,7,9,12,14],[1,3,6,8,10,11,14],[1,4,5,11,12,13,14],[1,4,6,7,8,11,14],[1,4,6,7,9,12,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,8,10,12,14],[2,4,6,8,9,11,13],[2,4,7,9,10,11,14],[2,5,6,7,8,10,12],[2,5,6,9,11,12,14],[3,4,5,9,10,11,13],[3,4,6,8,9,12,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[4946]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4947: autom. group order 2, simple B[4947]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,13],[1,3,5,7,9,12,14],[1,3,6,8,10,11,14],[1,4,5,11,12,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,11,14],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,8,10,11,14],[2,4,6,8,9,12,14],[2,4,7,9,10,11,13],[2,5,6,7,8,10,12],[2,5,6,9,11,12,14],[3,4,5,9,10,12,13],[3,4,6,8,9,11,13],[3,4,7,8,10,12,14],[3,5,6,7,9,10,11],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[4947]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4948: autom. group order 2, simple B[4948]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,14],[1,3,5,7,9,12,14],[1,3,6,8,10,11,13],[1,4,5,11,12,13,14],[1,4,6,7,8,12,14],[1,4,6,7,9,11,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,8,10,11,14],[2,4,6,8,9,12,13],[2,4,7,9,10,11,14],[2,5,6,7,8,10,12],[2,5,6,9,11,12,13],[3,4,5,9,10,12,13],[3,4,6,8,9,11,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,11,12,14],[4,5,6,7,10,13,14]]; G[4948]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4949: autom. group order 2, simple B[4949]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,13],[1,3,5,7,9,12,14],[1,3,6,8,10,11,14],[1,4,5,11,12,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,11,14],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,8,10,12,14],[2,4,6,8,9,12,14],[2,4,7,9,10,11,14],[2,5,6,7,8,10,11],[2,5,6,9,11,12,13],[3,4,5,9,10,11,13],[3,4,6,8,9,11,13],[3,4,7,8,10,12,13],[3,5,6,7,9,10,12],[3,5,6,8,11,12,14],[4,5,6,7,10,13,14]]; G[4949]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4950: autom. group order 2, simple B[4950]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,13],[1,3,5,7,9,12,14],[1,3,6,8,10,11,14],[1,4,5,11,12,13,14],[1,4,6,7,8,12,14],[1,4,6,7,9,11,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,8,10,12,14],[2,4,6,8,9,12,13],[2,4,7,9,10,11,14],[2,5,6,7,8,10,11],[2,5,6,9,11,12,14],[3,4,5,9,10,11,13],[3,4,6,8,9,11,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,12],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[4950]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4951: autom. group order 2, simple B[4951]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,11,13],[1,3,5,7,9,12,14],[1,3,6,8,10,12,14],[1,4,5,11,12,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,11,14],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,8,10,11,14],[2,4,6,8,9,12,13],[2,4,7,8,10,12,14],[2,5,6,7,9,10,12],[2,5,6,9,11,12,14],[3,4,5,9,10,12,13],[3,4,6,8,9,11,14],[3,4,7,9,10,11,13],[3,5,6,7,8,10,11],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[4951]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4952: autom. group order 2, simple B[4952]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,11,14],[1,3,5,7,9,12,14],[1,3,6,8,10,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,12,14],[1,4,6,7,9,11,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,8,10,11,14],[2,4,6,8,9,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,10,12],[2,5,6,9,11,12,13],[3,4,5,9,10,12,13],[3,4,6,8,9,11,13],[3,4,7,9,10,11,14],[3,5,6,7,8,10,11],[3,5,6,8,11,12,14],[4,5,6,7,10,13,14]]; G[4952]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4953: autom. group order 2, simple B[4953]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,11,13],[1,3,5,7,9,12,14],[1,3,6,8,10,12,14],[1,4,5,11,12,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,11,14],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,8,10,12,14],[2,4,6,8,9,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,10,12],[2,5,6,9,11,12,14],[3,4,5,9,10,11,13],[3,4,6,8,9,11,14],[3,4,7,9,10,12,13],[3,5,6,7,8,10,11],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[4953]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4954: autom. group order 2, simple B[4954]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,11,14],[1,3,5,7,9,12,14],[1,3,6,8,10,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,12,14],[1,4,6,7,9,11,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,8,10,12,13],[2,4,6,8,9,12,14],[2,4,7,8,10,11,14],[2,5,6,7,9,10,12],[2,5,6,9,11,12,13],[3,4,5,9,10,11,14],[3,4,6,8,9,11,13],[3,4,7,9,10,12,13],[3,5,6,7,8,10,11],[3,5,6,8,11,12,14],[4,5,6,7,10,13,14]]; G[4954]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4955: autom. group order 2, simple B[4955]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,13],[1,3,5,7,9,12,14],[1,3,6,8,10,11,14],[1,4,5,11,12,13,14],[1,4,6,7,8,12,14],[1,4,6,7,9,11,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,8,10,11,14],[2,4,6,8,9,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,10,11],[2,5,6,9,11,12,14],[3,4,5,9,10,12,13],[3,4,6,8,9,11,13],[3,4,7,9,10,11,14],[3,5,6,7,8,10,12],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[4955]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4956: autom. group order 2, simple B[4956]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,14],[1,3,5,7,9,12,14],[1,3,6,8,10,11,13],[1,4,5,11,12,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,11,14],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,8,10,11,14],[2,4,6,8,9,12,13],[2,4,7,8,10,12,14],[2,5,6,7,9,10,11],[2,5,6,9,11,12,13],[3,4,5,9,10,12,13],[3,4,6,8,9,11,14],[3,4,7,9,10,11,13],[3,5,6,7,8,10,12],[3,5,6,8,11,12,14],[4,5,6,7,10,13,14]]; G[4956]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4957: autom. group order 2, simple B[4957]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,13],[1,3,5,7,9,12,14],[1,3,6,8,10,11,14],[1,4,5,11,12,13,14],[1,4,6,7,8,12,14],[1,4,6,7,9,11,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,8,10,12,13],[2,4,6,8,9,12,14],[2,4,7,8,10,11,14],[2,5,6,7,9,10,11],[2,5,6,9,11,12,14],[3,4,5,9,10,11,14],[3,4,6,8,9,11,13],[3,4,7,9,10,12,13],[3,5,6,7,8,10,12],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[4957]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4958: autom. group order 2, simple B[4958]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,14],[1,3,5,7,9,12,14],[1,3,6,8,10,11,13],[1,4,5,11,12,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,11,14],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,8,10,12,14],[2,4,6,8,9,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,10,11],[2,5,6,9,11,12,13],[3,4,5,9,10,11,13],[3,4,6,8,9,11,14],[3,4,7,9,10,12,13],[3,5,6,7,8,10,12],[3,5,6,8,11,12,14],[4,5,6,7,10,13,14]]; G[4958]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4959: autom. group order 2, simple B[4959]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,10,12,13],[1,3,5,7,9,12,14],[1,3,6,9,10,11,14],[1,4,5,11,12,13,14],[1,4,6,7,8,11,14],[1,4,6,7,9,12,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,11,13],[2,4,6,8,9,12,14],[2,4,7,9,10,11,14],[2,5,6,7,9,10,12],[2,5,6,8,11,12,14],[3,4,5,8,10,12,14],[3,4,6,8,9,11,13],[3,4,7,8,10,12,13],[3,5,6,7,8,10,11],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[4959]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4960: autom. group order 2, simple B[4960]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,10,12,13],[1,3,5,7,9,12,14],[1,3,6,9,10,11,14],[1,4,5,11,12,13,14],[1,4,6,7,8,11,14],[1,4,6,7,9,12,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,11,14],[2,4,6,8,9,12,14],[2,4,7,9,10,11,13],[2,5,6,7,9,10,12],[2,5,6,8,11,12,14],[3,4,5,8,10,12,13],[3,4,6,8,9,11,13],[3,4,7,8,10,12,14],[3,5,6,7,8,10,11],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[4960]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4961: autom. group order 2, simple B[4961]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,10,12,14],[1,3,5,7,9,12,14],[1,3,6,9,10,11,13],[1,4,5,11,12,13,14],[1,4,6,7,8,11,13],[1,4,6,7,9,12,14],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,11,14],[2,4,6,8,9,12,13],[2,4,7,9,10,12,13],[2,5,6,7,9,10,11],[2,5,6,8,11,12,14],[3,4,5,8,10,12,13],[3,4,6,8,9,11,14],[3,4,7,8,10,11,14],[3,5,6,7,8,10,12],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[4961]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4962: autom. group order 2, simple B[4962]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,10,12,14],[1,3,5,7,9,12,14],[1,3,6,9,10,11,13],[1,4,5,11,12,13,14],[1,4,6,7,8,11,14],[1,4,6,7,9,12,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,11,14],[2,4,6,8,9,12,14],[2,4,7,9,10,12,13],[2,5,6,7,9,10,11],[2,5,6,8,11,12,13],[3,4,5,8,10,12,13],[3,4,6,8,9,11,13],[3,4,7,8,10,11,14],[3,5,6,7,8,10,12],[3,5,6,9,11,12,14],[4,5,6,7,10,13,14]]; G[4962]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4963: autom. group order 2, simple B[4963]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,10,12,14],[1,3,5,7,9,12,14],[1,3,6,9,10,11,13],[1,4,5,11,12,13,14],[1,4,6,7,8,11,13],[1,4,6,7,9,12,14],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,12,13],[2,4,6,8,9,12,13],[2,4,7,9,10,11,14],[2,5,6,7,9,10,11],[2,5,6,8,11,12,14],[3,4,5,8,10,11,14],[3,4,6,8,9,11,14],[3,4,7,8,10,12,13],[3,5,6,7,8,10,12],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[4963]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4964: autom. group order 2, simple B[4964]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,10,12,14],[1,3,5,7,9,12,14],[1,3,6,9,10,11,13],[1,4,5,11,12,13,14],[1,4,6,7,8,11,14],[1,4,6,7,9,12,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,12,13],[2,4,6,8,9,12,14],[2,4,7,9,10,11,14],[2,5,6,7,9,10,11],[2,5,6,8,11,12,13],[3,4,5,8,10,11,14],[3,4,6,8,9,11,13],[3,4,7,8,10,12,13],[3,5,6,7,8,10,12],[3,5,6,9,11,12,14],[4,5,6,7,10,13,14]]; G[4964]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4965: autom. group order 2, simple B[4965]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,10,12,14],[1,3,5,7,9,12,14],[1,3,6,9,10,11,13],[1,4,5,11,12,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,11,14],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,11,14],[2,4,6,8,9,11,13],[2,4,7,9,10,12,13],[2,5,6,7,9,10,12],[2,5,6,8,11,12,14],[3,4,5,8,10,12,13],[3,4,6,8,9,12,14],[3,4,7,8,10,11,14],[3,5,6,7,8,10,11],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[4965]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4966: autom. group order 2, simple B[4966]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,10,12,14],[1,3,5,7,9,12,14],[1,3,6,9,10,11,13],[1,4,5,11,12,13,14],[1,4,6,7,8,12,14],[1,4,6,7,9,11,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,11,14],[2,4,6,8,9,11,14],[2,4,7,9,10,12,13],[2,5,6,7,9,10,12],[2,5,6,8,11,12,13],[3,4,5,8,10,12,13],[3,4,6,8,9,12,13],[3,4,7,8,10,11,14],[3,5,6,7,8,10,11],[3,5,6,9,11,12,14],[4,5,6,7,10,13,14]]; G[4966]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4967: autom. group order 2, simple B[4967]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,10,12,14],[1,3,5,7,9,12,14],[1,3,6,9,10,11,13],[1,4,5,11,12,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,11,14],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,12,13],[2,4,6,8,9,11,13],[2,4,7,9,10,11,14],[2,5,6,7,9,10,12],[2,5,6,8,11,12,14],[3,4,5,8,10,11,14],[3,4,6,8,9,12,14],[3,4,7,8,10,12,13],[3,5,6,7,8,10,11],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[4967]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4968: autom. group order 2, simple B[4968]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,10,12,14],[1,3,5,7,9,12,14],[1,3,6,9,10,11,13],[1,4,5,11,12,13,14],[1,4,6,7,8,12,14],[1,4,6,7,9,11,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,12,13],[2,4,6,8,9,11,14],[2,4,7,9,10,11,14],[2,5,6,7,9,10,12],[2,5,6,8,11,12,13],[3,4,5,8,10,11,14],[3,4,6,8,9,12,13],[3,4,7,8,10,12,13],[3,5,6,7,8,10,11],[3,5,6,9,11,12,14],[4,5,6,7,10,13,14]]; G[4968]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4969: autom. group order 2, simple B[4969]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,10,11,14],[1,3,5,7,9,12,14],[1,3,6,9,10,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,11,14],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,11,13],[2,4,6,8,9,12,14],[2,4,7,9,10,12,13],[2,5,6,7,8,10,12],[2,5,6,9,11,12,14],[3,4,5,8,10,12,14],[3,4,6,8,9,11,13],[3,4,7,8,10,11,14],[3,5,6,7,9,10,11],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[4969]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4970: autom. group order 2, simple B[4970]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,10,11,14],[1,3,5,7,9,12,14],[1,3,6,9,10,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,12,14],[1,4,6,7,9,11,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,11,14],[2,4,6,8,9,12,13],[2,4,7,9,10,12,14],[2,5,6,7,8,10,12],[2,5,6,9,11,12,13],[3,4,5,8,10,12,13],[3,4,6,8,9,11,14],[3,4,7,8,10,11,13],[3,5,6,7,9,10,11],[3,5,6,8,11,12,14],[4,5,6,7,10,13,14]]; G[4970]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4971: autom. group order 2, simple B[4971]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,10,11,14],[1,3,5,7,9,12,14],[1,3,6,9,10,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,11,14],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,12,13],[2,4,6,8,9,12,14],[2,4,7,9,10,11,13],[2,5,6,7,8,10,12],[2,5,6,9,11,12,14],[3,4,5,8,10,11,14],[3,4,6,8,9,11,13],[3,4,7,8,10,12,14],[3,5,6,7,9,10,11],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[4971]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4972: autom. group order 2, simple B[4972]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,10,11,14],[1,3,5,7,9,12,14],[1,3,6,9,10,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,12,14],[1,4,6,7,9,11,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,12,14],[2,4,6,8,9,12,13],[2,4,7,9,10,11,14],[2,5,6,7,8,10,12],[2,5,6,9,11,12,13],[3,4,5,8,10,11,13],[3,4,6,8,9,11,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,11,12,14],[4,5,6,7,10,13,14]]; G[4972]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4973: autom. group order 2, simple B[4973]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,10,12,14],[1,3,5,7,9,12,14],[1,3,6,9,10,11,13],[1,4,5,11,12,13,14],[1,4,6,7,8,11,13],[1,4,6,7,9,12,14],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,11,14],[2,4,6,8,9,11,14],[2,4,7,9,10,12,13],[2,5,6,7,8,10,12],[2,5,6,9,11,12,13],[3,4,5,8,10,12,13],[3,4,6,8,9,12,13],[3,4,7,8,10,11,14],[3,5,6,7,9,10,11],[3,5,6,8,11,12,14],[4,5,6,7,10,13,14]]; G[4973]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4974: autom. group order 2, simple B[4974]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,10,12,14],[1,3,5,7,9,12,14],[1,3,6,9,10,11,13],[1,4,5,11,12,13,14],[1,4,6,7,8,11,14],[1,4,6,7,9,12,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,11,14],[2,4,6,8,9,11,13],[2,4,7,9,10,12,13],[2,5,6,7,8,10,12],[2,5,6,9,11,12,14],[3,4,5,8,10,12,13],[3,4,6,8,9,12,14],[3,4,7,8,10,11,14],[3,5,6,7,9,10,11],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[4974]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4975: autom. group order 2, simple B[4975]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,10,12,14],[1,3,5,7,9,12,14],[1,3,6,9,10,11,13],[1,4,5,11,12,13,14],[1,4,6,7,8,11,13],[1,4,6,7,9,12,14],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,12,13],[2,4,6,8,9,11,14],[2,4,7,9,10,11,14],[2,5,6,7,8,10,12],[2,5,6,9,11,12,13],[3,4,5,8,10,11,14],[3,4,6,8,9,12,13],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,11,12,14],[4,5,6,7,10,13,14]]; G[4975]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4976: autom. group order 2, simple B[4976]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,10,12,14],[1,3,5,7,9,12,14],[1,3,6,9,10,11,13],[1,4,5,11,12,13,14],[1,4,6,7,8,11,14],[1,4,6,7,9,12,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,12,13],[2,4,6,8,9,11,13],[2,4,7,9,10,11,14],[2,5,6,7,8,10,12],[2,5,6,9,11,12,14],[3,4,5,8,10,11,14],[3,4,6,8,9,12,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[4976]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4977: autom. group order 2, simple B[4977]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,10,12,14],[1,3,5,7,9,12,14],[1,3,6,9,10,11,13],[1,4,5,11,12,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,11,14],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,11,14],[2,4,6,8,9,12,14],[2,4,7,9,10,12,13],[2,5,6,7,8,10,11],[2,5,6,9,11,12,13],[3,4,5,8,10,12,13],[3,4,6,8,9,11,13],[3,4,7,8,10,11,14],[3,5,6,7,9,10,12],[3,5,6,8,11,12,14],[4,5,6,7,10,13,14]]; G[4977]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4978: autom. group order 2, simple B[4978]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,10,12,14],[1,3,5,7,9,12,14],[1,3,6,9,10,11,13],[1,4,5,11,12,13,14],[1,4,6,7,8,12,14],[1,4,6,7,9,11,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,11,14],[2,4,6,8,9,12,13],[2,4,7,9,10,12,13],[2,5,6,7,8,10,11],[2,5,6,9,11,12,14],[3,4,5,8,10,12,13],[3,4,6,8,9,11,14],[3,4,7,8,10,11,14],[3,5,6,7,9,10,12],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[4978]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4979: autom. group order 2, simple B[4979]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,10,12,14],[1,3,5,7,9,12,14],[1,3,6,9,10,11,13],[1,4,5,11,12,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,11,14],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,12,13],[2,4,6,8,9,12,14],[2,4,7,9,10,11,14],[2,5,6,7,8,10,11],[2,5,6,9,11,12,13],[3,4,5,8,10,11,14],[3,4,6,8,9,11,13],[3,4,7,8,10,12,13],[3,5,6,7,9,10,12],[3,5,6,8,11,12,14],[4,5,6,7,10,13,14]]; G[4979]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4980: autom. group order 2, simple B[4980]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,10,12,14],[1,3,5,7,9,12,14],[1,3,6,9,10,11,13],[1,4,5,11,12,13,14],[1,4,6,7,8,12,14],[1,4,6,7,9,11,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,12,13],[2,4,6,8,9,12,13],[2,4,7,9,10,11,14],[2,5,6,7,8,10,11],[2,5,6,9,11,12,14],[3,4,5,8,10,11,14],[3,4,6,8,9,11,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,12],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[4980]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4981: autom. group order 2, simple B[4981]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,10,11,14],[1,3,5,7,9,12,14],[1,3,6,9,10,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,11,14],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,11,13],[2,4,6,8,9,12,13],[2,4,7,8,10,12,14],[2,5,6,7,9,10,12],[2,5,6,9,11,12,14],[3,4,5,8,10,12,14],[3,4,6,8,9,11,14],[3,4,7,9,10,11,13],[3,5,6,7,8,10,11],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[4981]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4982: autom. group order 2, simple B[4982]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,10,11,14],[1,3,5,7,9,12,14],[1,3,6,9,10,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,12,14],[1,4,6,7,9,11,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,11,14],[2,4,6,8,9,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,10,12],[2,5,6,9,11,12,13],[3,4,5,8,10,12,13],[3,4,6,8,9,11,13],[3,4,7,9,10,11,14],[3,5,6,7,8,10,11],[3,5,6,8,11,12,14],[4,5,6,7,10,13,14]]; G[4982]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4983: autom. group order 2, simple B[4983]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,10,11,14],[1,3,5,7,9,12,14],[1,3,6,9,10,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,11,14],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,12,14],[2,4,6,8,9,12,13],[2,4,7,8,10,12,14],[2,5,6,7,9,10,11],[2,5,6,9,11,12,13],[3,4,5,8,10,11,13],[3,4,6,8,9,11,14],[3,4,7,9,10,11,13],[3,5,6,7,8,10,12],[3,5,6,8,11,12,14],[4,5,6,7,10,13,14]]; G[4983]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4984: autom. group order 2, simple B[4984]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,10,11,14],[1,3,5,7,9,12,14],[1,3,6,9,10,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,12,14],[1,4,6,7,9,11,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,12,13],[2,4,6,8,9,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,10,11],[2,5,6,9,11,12,14],[3,4,5,8,10,11,14],[3,4,6,8,9,11,13],[3,4,7,9,10,11,14],[3,5,6,7,8,10,12],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[4984]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4985: autom. group order 2, simple B[4985]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,10,12,13],[1,3,5,7,9,12,14],[1,3,6,9,10,11,14],[1,4,5,11,12,13,14],[1,4,6,7,8,11,14],[1,4,6,7,9,12,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,11,13],[2,4,6,8,9,11,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,12],[2,5,6,9,11,12,14],[3,4,5,8,10,12,14],[3,4,6,8,9,12,13],[3,4,7,9,10,11,13],[3,5,6,7,8,10,11],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[4985]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4986: autom. group order 2, simple B[4986]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,10,12,14],[1,3,5,7,9,12,14],[1,3,6,9,10,11,13],[1,4,5,11,12,13,14],[1,4,6,7,8,11,14],[1,4,6,7,9,12,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,11,13],[2,4,6,8,9,11,14],[2,4,7,8,10,12,13],[2,5,6,7,9,10,12],[2,5,6,9,11,12,14],[3,4,5,8,10,12,14],[3,4,6,8,9,12,13],[3,4,7,9,10,11,14],[3,5,6,7,8,10,11],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[4986]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4987: autom. group order 2, simple B[4987]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,10,12,14],[1,3,5,7,9,12,14],[1,3,6,9,10,11,13],[1,4,5,11,12,13,14],[1,4,6,7,8,11,14],[1,4,6,7,9,12,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,12,14],[2,4,6,8,9,11,14],[2,4,7,8,10,12,13],[2,5,6,7,9,10,11],[2,5,6,9,11,12,13],[3,4,5,8,10,11,13],[3,4,6,8,9,12,13],[3,4,7,9,10,11,14],[3,5,6,7,8,10,12],[3,5,6,8,11,12,14],[4,5,6,7,10,13,14]]; G[4987]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4988: autom. group order 2, simple B[4988]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,10,12,13],[1,3,5,7,9,12,14],[1,3,6,9,10,11,14],[1,4,5,11,12,13,14],[1,4,6,7,8,12,14],[1,4,6,7,9,11,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,11,14],[2,4,6,8,9,12,14],[2,4,7,8,10,11,14],[2,5,6,7,9,10,12],[2,5,6,9,11,12,13],[3,4,5,8,10,12,13],[3,4,6,8,9,11,13],[3,4,7,9,10,12,13],[3,5,6,7,8,10,11],[3,5,6,8,11,12,14],[4,5,6,7,10,13,14]]; G[4988]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4989: autom. group order 2, simple B[4989]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,10,12,14],[1,3,5,7,9,12,14],[1,3,6,9,10,11,13],[1,4,5,11,12,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,11,14],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,10,11,13],[2,4,6,8,9,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,10,12],[2,5,6,9,11,12,14],[3,4,5,8,10,12,14],[3,4,6,8,9,11,14],[3,4,7,9,10,12,13],[3,5,6,7,8,10,11],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[4989]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4990: autom. group order 2, simple B[4990]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,10,11,14],[1,3,5,7,9,12,14],[1,3,6,9,10,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,11,14],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,8,10,12,14],[2,4,6,8,9,12,13],[2,4,7,9,10,11,13],[2,5,6,7,9,10,12],[2,5,6,9,11,12,14],[3,4,5,9,10,11,13],[3,4,6,8,9,11,14],[3,4,7,8,10,12,14],[3,5,6,7,8,10,11],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[4990]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4991: autom. group order 2, simple B[4991]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,10,11,14],[1,3,5,7,9,12,14],[1,3,6,9,10,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,12,14],[1,4,6,7,9,11,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,8,10,12,13],[2,4,6,8,9,12,14],[2,4,7,9,10,11,14],[2,5,6,7,9,10,12],[2,5,6,9,11,12,13],[3,4,5,9,10,11,14],[3,4,6,8,9,11,13],[3,4,7,8,10,12,13],[3,5,6,7,8,10,11],[3,5,6,8,11,12,14],[4,5,6,7,10,13,14]]; G[4991]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4992: autom. group order 2, simple B[4992]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,10,11,14],[1,3,5,7,9,12,14],[1,3,6,9,10,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,11,14],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,8,10,12,14],[2,4,6,8,9,12,13],[2,4,7,9,10,12,14],[2,5,6,7,9,10,11],[2,5,6,9,11,12,13],[3,4,5,9,10,11,13],[3,4,6,8,9,11,14],[3,4,7,8,10,11,13],[3,5,6,7,8,10,12],[3,5,6,8,11,12,14],[4,5,6,7,10,13,14]]; G[4992]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4993: autom. group order 2, simple B[4993]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,10,11,14],[1,3,5,7,9,12,14],[1,3,6,9,10,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,12,14],[1,4,6,7,9,11,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,8,10,12,13],[2,4,6,8,9,12,14],[2,4,7,9,10,12,13],[2,5,6,7,9,10,11],[2,5,6,9,11,12,14],[3,4,5,9,10,11,14],[3,4,6,8,9,11,13],[3,4,7,8,10,11,14],[3,5,6,7,8,10,12],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[4993]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4994: autom. group order 2, simple B[4994]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,10,12,13],[1,3,5,7,9,12,14],[1,3,6,9,10,11,14],[1,4,5,11,12,13,14],[1,4,6,7,8,11,14],[1,4,6,7,9,12,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,8,10,12,14],[2,4,6,8,9,11,14],[2,4,7,9,10,11,13],[2,5,6,7,9,10,12],[2,5,6,9,11,12,14],[3,4,5,9,10,11,13],[3,4,6,8,9,12,13],[3,4,7,8,10,12,14],[3,5,6,7,8,10,11],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[4994]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4995: autom. group order 2, simple B[4995]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,10,12,14],[1,3,5,7,9,12,14],[1,3,6,9,10,11,13],[1,4,5,11,12,13,14],[1,4,6,7,8,11,14],[1,4,6,7,9,12,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,8,10,12,13],[2,4,6,8,9,11,14],[2,4,7,9,10,11,13],[2,5,6,7,9,10,12],[2,5,6,9,11,12,14],[3,4,5,9,10,11,14],[3,4,6,8,9,12,13],[3,4,7,8,10,12,14],[3,5,6,7,8,10,11],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[4995]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4996: autom. group order 2, simple B[4996]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,10,12,13],[1,3,5,7,9,12,14],[1,3,6,9,10,11,14],[1,4,5,11,12,13,14],[1,4,6,7,8,12,14],[1,4,6,7,9,11,13],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,8,10,11,14],[2,4,6,8,9,12,14],[2,4,7,9,10,11,14],[2,5,6,7,9,10,12],[2,5,6,9,11,12,13],[3,4,5,9,10,12,13],[3,4,6,8,9,11,13],[3,4,7,8,10,12,13],[3,5,6,7,8,10,11],[3,5,6,8,11,12,14],[4,5,6,7,10,13,14]]; G[4996]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4997: autom. group order 2, simple B[4997]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,10,12,14],[1,3,5,7,9,12,14],[1,3,6,9,10,11,13],[1,4,5,11,12,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,11,14],[1,5,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,8,10,11,14],[2,4,6,8,9,12,13],[2,4,7,9,10,11,13],[2,5,6,7,9,10,12],[2,5,6,9,11,12,14],[3,4,5,9,10,12,13],[3,4,6,8,9,11,14],[3,4,7,8,10,12,14],[3,5,6,7,8,10,11],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[4997]:=Group([(2,3)(8,9)(11,12)(13,14)]); # Design 4998: autom. group order 2, simple, residual B[4998]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,10,11,12,13],[1,2,6,8,10,11,14],[1,3,5,9,10,12,14],[1,3,6,9,12,13,14],[1,4,5,7,8,10,13],[1,4,6,7,9,11,12],[1,4,7,8,9,11,14],[1,5,6,8,11,13,14],[1,7,8,9,10,12,13],[2,3,7,8,9,10,14],[2,3,7,8,11,12,13],[2,4,5,9,11,13,14],[2,4,6,8,9,12,13],[2,4,6,8,10,12,14],[2,5,6,7,9,10,13],[2,5,7,9,11,12,14],[3,4,5,8,12,13,14],[3,4,6,9,10,11,13],[3,4,7,10,11,13,14],[3,5,6,7,8,11,12],[3,5,6,8,9,10,11],[4,5,6,7,10,12,14]]; G[4998]:=Group([(1,11)(2,10)(5,13)(7,9)(8,14)]); # Design 4999: autom. group order 2, simple, residual B[4999]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,10,11,12,14],[1,2,6,8,11,13,14],[1,3,5,9,12,13,14],[1,3,6,9,11,13,14],[1,4,5,7,12,13,14],[1,4,6,8,9,10,12],[1,4,7,8,10,11,14],[1,5,6,7,8,9,11],[1,7,8,9,10,12,13],[2,3,7,8,9,12,14],[2,3,7,8,11,12,13],[2,4,5,8,9,11,13],[2,4,6,7,9,12,14],[2,4,6,9,10,13,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,14],[3,4,5,8,10,13,14],[3,4,6,8,11,12,14],[3,4,7,9,10,11,13],[3,5,6,7,8,10,14],[3,5,6,9,10,11,12],[4,5,6,7,11,12,13]]; G[4999]:=Group([(1,14)(3,9)(4,7)(5,12)]); # Design 5000: autom. group order 2, simple B[5000]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,10,11,12,13],[1,2,6,8,10,11,14],[1,3,5,9,10,12,14],[1,3,6,9,12,13,14],[1,4,5,7,9,11,13],[1,4,6,8,11,12,14],[1,4,7,8,9,11,14],[1,5,6,7,8,10,13],[1,7,8,9,10,12,13],[2,3,7,8,9,10,14],[2,3,7,8,11,12,13],[2,4,5,8,10,13,14],[2,4,6,7,9,10,12],[2,4,6,8,9,12,13],[2,5,6,9,11,13,14],[2,5,7,9,11,12,14],[3,4,5,8,12,13,14],[3,4,6,9,10,11,13],[3,4,7,10,11,13,14],[3,5,6,7,8,11,12],[3,5,6,8,9,10,11],[4,5,6,7,10,12,14]]; G[5000]:=Group([(1,11)(2,10)(5,13)(7,9)(8,14)]); # Design 5001: autom. group order 2, simple B[5001]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,10,11,12,13],[1,2,6,8,10,11,14],[1,3,5,9,10,12,14],[1,3,6,9,12,13,14],[1,4,5,7,8,10,13],[1,4,6,8,11,12,14],[1,4,7,8,9,11,14],[1,5,6,7,9,11,13],[1,7,8,9,10,12,13],[2,3,7,8,9,10,14],[2,3,7,8,11,12,13],[2,4,5,9,11,13,14],[2,4,6,7,9,10,12],[2,4,6,8,9,12,13],[2,5,6,8,10,13,14],[2,5,7,9,11,12,14],[3,4,5,8,12,13,14],[3,4,6,9,10,11,13],[3,4,7,10,11,13,14],[3,5,6,7,8,11,12],[3,5,6,8,9,10,11],[4,5,6,7,10,12,14]]; G[5001]:=Group([(1,11)(2,10)(5,13)(7,9)(8,14)]); # Design 5002: autom. group order 2, simple, residual B[5002]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,11,12,13,14],[1,2,6,8,10,11,14],[1,3,5,9,10,12,14],[1,3,6,8,9,13,14],[1,4,5,7,12,13,14],[1,4,6,9,11,12,13],[1,4,7,8,10,11,14],[1,5,6,7,8,9,11],[1,7,8,9,10,12,13],[2,3,7,8,9,12,14],[2,3,7,8,11,12,13],[2,4,5,8,9,11,13],[2,4,6,7,9,12,14],[2,4,6,9,10,13,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,14],[3,4,5,8,10,13,14],[3,4,6,8,11,12,14],[3,4,7,9,10,11,13],[3,5,6,7,11,13,14],[3,5,6,9,10,11,12],[4,5,6,7,8,10,12]]; G[5002]:=Group([(1,14)(3,9)(4,7)(5,12)]); # Design 5003: autom. group order 2, simple, residual B[5003]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,10,11,13,14],[1,2,6,8,12,13,14],[1,3,5,9,11,13,14],[1,3,6,8,9,12,14],[1,4,5,7,11,12,14],[1,4,6,8,9,10,11],[1,4,7,8,10,12,14],[1,5,6,7,9,12,13],[1,7,8,9,10,11,13],[2,3,7,8,9,11,14],[2,3,7,8,11,12,13],[2,4,5,8,9,12,13],[2,4,6,7,9,11,14],[2,4,6,9,10,13,14],[2,5,6,8,10,11,12],[2,5,7,9,10,12,14],[3,4,5,8,10,13,14],[3,4,6,11,12,13,14],[3,4,7,9,10,12,13],[3,5,6,7,8,10,14],[3,5,6,9,10,11,12],[4,5,6,7,8,11,13]]; G[5003]:=Group([(1,14)(3,9)(4,7)(5,11)]); # Design 5004: autom. group order 2, simple, residual B[5004]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,11,12,13,14],[1,2,6,8,10,11,14],[1,3,5,9,10,12,14],[1,3,6,8,9,13,14],[1,4,5,7,12,13,14],[1,4,6,8,9,11,12],[1,4,7,8,10,11,14],[1,5,6,7,9,11,13],[1,7,8,9,10,12,13],[2,3,7,8,9,12,14],[2,3,7,8,11,12,13],[2,4,5,8,9,11,13],[2,4,6,7,9,12,14],[2,4,6,9,10,13,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,14],[3,4,5,8,10,13,14],[3,4,6,11,12,13,14],[3,4,7,9,10,11,13],[3,5,6,7,8,11,14],[3,5,6,9,10,11,12],[4,5,6,7,8,10,12]]; G[5004]:=Group([(1,14)(3,9)(4,7)(5,12)]); # Design 5005: autom. group order 2, simple B[5005]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,10,11,12,13],[1,2,6,8,9,10,13],[1,3,5,8,11,12,14],[1,3,6,9,10,11,14],[1,4,5,7,9,12,13],[1,4,6,8,11,13,14],[1,4,7,8,9,10,14],[1,5,6,7,10,12,14],[1,7,8,9,11,12,13],[2,3,7,8,9,12,14],[2,3,7,9,10,11,13],[2,4,5,8,10,13,14],[2,4,6,7,8,11,12],[2,4,6,9,11,12,14],[2,5,6,9,12,13,14],[2,5,7,8,10,11,14],[3,4,5,9,11,13,14],[3,4,6,8,10,12,13],[3,4,7,10,12,13,14],[3,5,6,7,8,11,13],[3,5,6,8,9,10,12],[4,5,6,7,9,10,11]]; G[5005]:=Group([(1,10)(2,12)(5,13)(7,8)(9,14)]); # Design 5006: autom. group order 2, simple, residual B[5006]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,10,11,12,13],[1,2,6,8,9,10,13],[1,3,5,8,11,12,14],[1,3,6,8,11,13,14],[1,4,5,7,9,12,13],[1,4,6,9,10,11,14],[1,4,7,8,9,10,14],[1,5,6,7,10,12,14],[1,7,8,9,11,12,13],[2,3,7,8,9,12,14],[2,3,7,9,10,11,13],[2,4,5,8,10,13,14],[2,4,6,7,8,11,12],[2,4,6,9,11,12,14],[2,5,6,9,12,13,14],[2,5,7,8,10,11,14],[3,4,5,9,11,13,14],[3,4,6,8,10,12,13],[3,4,7,10,12,13,14],[3,5,6,7,9,10,11],[3,5,6,8,9,10,12],[4,5,6,7,8,11,13]]; G[5006]:=Group([(1,10)(2,12)(5,13)(7,8)(9,14)]); # Design 5007: autom. group order 2, simple, residual B[5007]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,10,11,12,13],[1,2,6,8,10,11,14],[1,3,5,9,10,12,14],[1,3,6,9,12,13,14],[1,4,5,8,11,13,14],[1,4,6,7,9,11,12],[1,4,7,8,9,10,13],[1,5,6,7,8,10,13],[1,7,8,9,11,12,14],[2,3,7,8,9,10,14],[2,3,7,8,11,12,13],[2,4,5,7,9,11,14],[2,4,6,8,9,12,13],[2,4,6,8,10,12,14],[2,5,6,9,11,13,14],[2,5,7,9,10,12,13],[3,4,5,8,12,13,14],[3,4,6,9,10,11,13],[3,4,7,10,11,13,14],[3,5,6,7,8,11,12],[3,5,6,8,9,10,11],[4,5,6,7,10,12,14]]; G[5007]:=Group([(1,11)(2,10)(5,13)(7,9)(8,14)]); # Design 5008: autom. group order 2, simple B[5008]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,10,11,12,13],[1,2,6,8,10,11,14],[1,3,5,9,10,12,14],[1,3,6,9,12,13,14],[1,4,5,8,11,13,14],[1,4,6,7,9,11,12],[1,4,7,8,9,11,14],[1,5,6,7,8,10,13],[1,7,8,9,10,12,13],[2,3,7,8,9,10,14],[2,3,7,8,11,12,13],[2,4,5,7,9,10,13],[2,4,6,8,9,12,13],[2,4,6,8,10,12,14],[2,5,6,9,11,13,14],[2,5,7,9,11,12,14],[3,4,5,8,12,13,14],[3,4,6,9,10,11,13],[3,4,7,10,11,13,14],[3,5,6,7,8,11,12],[3,5,6,8,9,10,11],[4,5,6,7,10,12,14]]; G[5008]:=Group([(1,11)(2,10)(5,13)(7,9)(8,14)]); # Design 5009: autom. group order 2, simple, residual B[5009]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,10,11,12,13],[1,2,6,8,10,11,14],[1,3,5,9,10,12,14],[1,3,6,9,12,13,14],[1,4,5,8,11,13,14],[1,4,6,7,8,10,12],[1,4,7,8,9,10,13],[1,5,6,7,9,11,13],[1,7,8,9,11,12,14],[2,3,7,8,9,10,14],[2,3,7,8,11,12,13],[2,4,5,7,9,11,14],[2,4,6,8,9,12,13],[2,4,6,9,11,12,14],[2,5,6,8,10,13,14],[2,5,7,9,10,12,13],[3,4,5,8,12,13,14],[3,4,6,9,10,11,13],[3,4,7,10,11,13,14],[3,5,6,7,8,11,12],[3,5,6,8,9,10,11],[4,5,6,7,10,12,14]]; G[5009]:=Group([(1,11)(2,10)(5,13)(7,9)(8,14)]); # Design 5010: autom. group order 2, simple, residual B[5010]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,10,11,13,14],[1,2,6,8,10,11,12],[1,3,5,9,10,12,13],[1,3,6,8,9,12,14],[1,4,5,8,11,13,14],[1,4,6,7,8,10,13],[1,4,7,9,10,12,14],[1,5,6,7,9,11,14],[1,7,8,9,11,12,13],[2,3,7,8,9,10,13],[2,3,7,11,12,13,14],[2,4,5,7,9,11,12],[2,4,6,8,9,11,13],[2,4,6,9,12,13,14],[2,5,6,8,10,12,14],[2,5,7,8,9,10,14],[3,4,5,8,12,13,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,14],[3,5,6,7,8,11,12],[3,5,6,9,10,11,13],[4,5,6,7,10,12,13]]; G[5010]:=Group([(1,11)(2,10)(5,14)(7,9)]); # Design 5011: autom. group order 2, simple B[5011]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,10,11,12,13],[1,2,6,8,9,10,13],[1,3,5,8,11,12,14],[1,3,6,8,11,13,14],[1,4,5,9,10,13,14],[1,4,6,7,9,11,12],[1,4,7,8,9,12,13],[1,5,6,7,10,12,14],[1,7,8,9,10,11,14],[2,3,7,8,9,12,14],[2,3,7,9,10,11,13],[2,4,5,7,8,10,14],[2,4,6,8,10,11,14],[2,4,6,9,11,12,14],[2,5,6,9,12,13,14],[2,5,7,8,11,12,13],[3,4,5,9,11,13,14],[3,4,6,8,10,12,13],[3,4,7,10,12,13,14],[3,5,6,7,9,10,11],[3,5,6,8,9,10,12],[4,5,6,7,8,11,13]]; G[5011]:=Group([(1,10)(2,12)(5,13)(7,8)(9,14)]); # Design 5012: autom. group order 2, simple, residual B[5012]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,7,9,12,14],[1,3,5,9,11,12,13],[1,3,6,7,10,12,14],[1,4,5,8,9,12,14],[1,4,6,8,10,11,14],[1,4,7,9,10,11,13],[1,5,6,8,11,13,14],[1,7,8,9,10,12,13],[2,3,7,8,9,11,14],[2,3,8,9,10,13,14],[2,4,5,7,10,13,14],[2,4,6,8,11,12,13],[2,4,6,9,12,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,11,12],[3,4,5,10,12,13,14],[3,4,6,7,9,11,13],[3,4,7,8,11,12,14],[3,5,6,7,8,12,13],[3,5,6,9,10,11,14],[4,5,6,7,8,9,10]]; G[5012]:=Group([(1,11)(3,12)(4,10)(6,8)]); # Design 5013: autom. group order 2, simple B[5013]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,7,9,12,14],[1,3,5,9,11,12,13],[1,3,6,7,10,12,14],[1,4,5,8,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,11,13],[1,5,6,8,9,11,14],[1,7,8,9,10,12,13],[2,3,7,8,9,11,14],[2,3,8,9,10,13,14],[2,4,5,7,10,13,14],[2,4,6,8,11,12,13],[2,4,6,9,12,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,11,12],[3,4,5,9,10,12,14],[3,4,6,7,9,11,13],[3,4,7,8,11,12,14],[3,5,6,7,8,12,13],[3,5,6,10,11,13,14],[4,5,6,7,8,9,10]]; G[5013]:=Group([(1,11)(3,12)(4,10)(6,8)]); # Design 5014: autom. group order 2, simple, residual B[5014]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,9,10,12,13],[1,3,5,9,11,13,14],[1,3,6,7,10,12,14],[1,4,5,8,10,12,14],[1,4,6,7,8,9,11],[1,4,7,9,11,12,14],[1,5,6,8,11,12,13],[1,7,8,9,10,13,14],[2,3,7,8,9,12,13],[2,3,7,8,11,12,14],[2,4,5,7,10,13,14],[2,4,6,8,9,10,14],[2,4,6,11,12,13,14],[2,5,6,7,9,11,14],[2,5,8,9,10,11,12],[3,4,5,9,12,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,13],[3,5,6,7,9,10,12],[3,5,6,8,10,11,14],[4,5,6,7,8,12,13]]; G[5014]:=Group([(1,11)(2,10)(5,13)(6,8)]); # Design 5015: autom. group order 2, simple B[5015]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,9,12,13,14],[1,3,5,9,11,12,14],[1,3,6,7,10,12,14],[1,4,5,8,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,11,13],[1,5,6,7,8,9,11],[1,7,8,9,10,12,13],[2,3,7,8,9,10,14],[2,3,8,9,11,13,14],[2,4,5,7,10,13,14],[2,4,6,7,9,12,14],[2,4,6,8,11,12,13],[2,5,6,9,10,11,12],[2,5,7,8,10,11,12],[3,4,5,9,10,12,13],[3,4,6,7,9,11,13],[3,4,7,8,11,12,14],[3,5,6,7,8,12,13],[3,5,6,10,11,13,14],[4,5,6,8,9,10,14]]; G[5015]:=Group([(1,11)(3,12)(4,10)(6,8)]); # Design 5016: autom. group order 2, simple, residual B[5016]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,9,12,13,14],[1,3,5,11,12,13,14],[1,3,6,7,10,12,14],[1,4,5,8,9,12,14],[1,4,6,8,10,11,14],[1,4,7,9,10,11,13],[1,5,6,7,8,9,11],[1,7,8,9,10,12,13],[2,3,7,8,9,10,14],[2,3,8,9,11,13,14],[2,4,5,7,10,13,14],[2,4,6,7,9,12,14],[2,4,6,8,11,12,13],[2,5,6,9,10,11,12],[2,5,7,8,10,11,12],[3,4,5,9,10,12,13],[3,4,6,7,9,11,13],[3,4,7,8,11,12,14],[3,5,6,7,8,12,13],[3,5,6,9,10,11,14],[4,5,6,8,10,13,14]]; G[5016]:=Group([(1,11)(3,12)(4,10)(6,8)]); # Design 5017: autom. group order 2, simple B[5017]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,12,13],[1,2,6,7,10,13,14],[1,3,5,7,11,12,14],[1,3,6,7,9,11,13],[1,4,5,9,10,13,14],[1,4,6,8,11,12,14],[1,4,7,8,9,12,13],[1,5,6,8,9,10,12],[1,7,8,9,10,11,14],[2,3,7,8,9,12,14],[2,3,8,9,10,11,13],[2,4,5,7,8,10,14],[2,4,6,7,9,10,11],[2,4,6,9,11,12,14],[2,5,6,9,12,13,14],[2,5,7,8,11,12,13],[3,4,5,9,11,13,14],[3,4,6,8,10,12,13],[3,4,7,10,12,13,14],[3,5,6,7,9,10,12],[3,5,6,8,10,11,14],[4,5,6,7,8,11,13]]; G[5017]:=Group([(1,10)(2,12)(5,13)(7,8)(9,14)]); # Design 5018: autom. group order 2, simple, residual B[5018]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,12,13],[1,2,6,7,10,13,14],[1,3,5,7,11,12,14],[1,3,6,7,9,11,13],[1,4,5,8,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,9,10,14],[1,5,6,8,9,10,12],[1,7,8,9,11,12,13],[2,3,7,8,9,12,14],[2,3,8,9,10,11,13],[2,4,5,7,9,10,13],[2,4,6,7,8,11,12],[2,4,6,9,11,12,14],[2,5,6,9,12,13,14],[2,5,7,8,10,11,14],[3,4,5,9,11,13,14],[3,4,6,8,10,12,13],[3,4,7,10,12,13,14],[3,5,6,7,9,10,12],[3,5,6,8,10,11,14],[4,5,6,7,8,11,13]]; G[5018]:=Group([(1,10)(2,12)(5,13)(7,8)(9,14)]); # Design 5019: autom. group order 2, simple, residual B[5019]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,7,9,12,14],[1,3,5,7,11,12,13],[1,3,6,9,10,12,14],[1,4,5,7,8,12,14],[1,4,6,8,10,11,14],[1,4,7,9,10,11,13],[1,5,6,8,11,13,14],[1,7,8,9,10,12,13],[2,3,7,8,9,11,14],[2,3,7,8,10,13,14],[2,4,5,9,10,13,14],[2,4,6,7,12,13,14],[2,4,6,8,11,12,13],[2,5,6,9,10,11,12],[2,5,7,8,10,11,12],[3,4,5,10,12,13,14],[3,4,6,7,9,11,13],[3,4,8,9,11,12,14],[3,5,6,7,10,11,14],[3,5,6,8,9,12,13],[4,5,6,7,8,9,10]]; G[5019]:=Group([(1,11)(3,12)(4,10)(6,8)]); # Design 5020: autom. group order 2, simple B[5020]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,12,13],[1,2,6,7,10,13,14],[1,3,5,7,11,12,14],[1,3,6,9,10,11,14],[1,4,5,8,12,13,14],[1,4,6,7,9,11,13],[1,4,7,8,9,10,14],[1,5,6,8,9,10,12],[1,7,8,9,11,12,13],[2,3,7,8,9,12,14],[2,3,8,9,10,11,13],[2,4,5,7,9,10,13],[2,4,6,7,8,11,12],[2,4,6,9,11,12,14],[2,5,6,9,12,13,14],[2,5,7,8,10,11,14],[3,4,5,9,11,13,14],[3,4,6,8,10,12,13],[3,4,7,10,12,13,14],[3,5,6,7,8,11,13],[3,5,6,7,9,10,12],[4,5,6,8,10,11,14]]; G[5020]:=Group([(1,10)(2,12)(5,13)(7,8)(9,14)]); # Design 5021: autom. group order 2, simple B[5021]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,12,13],[1,2,6,7,9,10,13],[1,3,5,7,10,11,14],[1,3,6,9,11,12,14],[1,4,5,8,10,13,14],[1,4,6,7,8,11,12],[1,4,7,8,9,12,14],[1,5,6,9,12,13,14],[1,7,8,9,10,11,13],[2,3,7,8,9,10,14],[2,3,8,9,11,12,13],[2,4,5,7,9,12,13],[2,4,6,7,11,13,14],[2,4,6,9,10,11,14],[2,5,6,8,10,12,14],[2,5,7,8,11,12,14],[3,4,5,9,11,13,14],[3,4,6,8,10,12,13],[3,4,7,10,12,13,14],[3,5,6,7,8,11,13],[3,5,6,7,9,10,12],[4,5,6,8,9,10,11]]; G[5021]:=Group([(1,12)(2,10)(5,13)(7,8)(9,14)]); # Design 5022: autom. group order 2, simple, residual B[5022]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,10,12,13],[1,3,5,7,11,13,14],[1,3,6,9,10,12,14],[1,4,5,8,10,12,14],[1,4,6,7,8,9,11],[1,4,7,9,11,12,14],[1,5,6,8,11,12,13],[1,7,8,9,10,13,14],[2,3,7,8,9,12,13],[2,3,8,9,11,12,14],[2,4,5,9,10,13,14],[2,4,6,7,8,10,14],[2,4,6,11,12,13,14],[2,5,6,7,9,11,14],[2,5,7,8,10,11,12],[3,4,5,7,12,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,13],[3,5,6,7,9,10,12],[3,5,6,8,10,11,14],[4,5,6,8,9,12,13]]; G[5022]:=Group([(1,11)(2,10)(5,13)(6,8)]); # Design 5023: autom. group order 2, simple, residual B[5023]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,9,11,13],[1,3,5,7,8,12,14],[1,3,6,8,10,13,14],[1,4,5,9,10,12,13],[1,4,6,8,9,11,14],[1,4,7,9,10,11,14],[1,5,6,7,11,12,14],[1,7,8,9,10,12,13],[2,3,7,8,9,11,13],[2,3,7,9,10,12,14],[2,4,5,10,11,13,14],[2,4,6,7,8,10,12],[2,4,6,8,9,12,14],[2,5,6,9,12,13,14],[2,5,7,8,10,11,14],[3,4,5,7,9,13,14],[3,4,6,7,11,12,13],[3,4,8,11,12,13,14],[3,5,6,8,9,10,11],[3,5,6,9,10,11,12],[4,5,6,7,8,10,13]]; G[5023]:=Group([(1,11)(2,12)(5,13)(9,14)]); # Design 5024: autom. group order 2, simple, residual B[5024]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,11,13,14],[1,3,5,7,8,12,14],[1,3,6,8,9,10,13],[1,4,5,10,12,13,14],[1,4,6,8,9,11,14],[1,4,7,9,10,11,14],[1,5,6,7,9,11,12],[1,7,8,9,10,12,13],[2,3,7,8,9,11,13],[2,3,7,9,10,12,14],[2,4,5,9,10,11,13],[2,4,6,7,8,10,12],[2,4,6,8,9,12,14],[2,5,6,9,12,13,14],[2,5,7,8,10,11,14],[3,4,5,7,9,13,14],[3,4,6,7,11,12,13],[3,4,8,11,12,13,14],[3,5,6,8,10,11,14],[3,5,6,9,10,11,12],[4,5,6,7,8,10,13]]; G[5024]:=Group([(1,11)(2,12)(5,13)(9,14)]); # Design 5025: autom. group order 2, simple, residual B[5025]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,12,13],[1,2,6,7,11,12,14],[1,3,5,7,9,11,14],[1,3,6,9,10,13,14],[1,4,5,10,12,13,14],[1,4,6,8,9,11,14],[1,4,7,8,10,12,14],[1,5,6,7,8,12,13],[1,7,8,9,10,11,13],[2,3,7,8,10,11,14],[2,3,7,9,12,13,14],[2,4,5,10,11,13,14],[2,4,6,7,9,10,13],[2,4,6,8,9,12,14],[2,5,6,8,11,13,14],[2,5,7,8,9,10,12],[3,4,5,7,8,13,14],[3,4,6,7,11,12,13],[3,4,8,9,11,12,13],[3,5,6,8,10,11,12],[3,5,6,9,10,12,14],[4,5,6,7,9,10,11]]; G[5025]:=Group([(1,12)(2,11)(5,13)]); # Design 5026: autom. group order 2, simple B[5026]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,7,9,12,14],[1,3,5,7,11,12,13],[1,3,6,9,10,12,14],[1,4,5,8,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,11,13],[1,5,6,7,8,11,14],[1,7,8,9,10,12,13],[2,3,7,8,9,11,14],[2,3,7,8,10,13,14],[2,4,5,9,10,13,14],[2,4,6,7,12,13,14],[2,4,6,8,11,12,13],[2,5,6,9,10,11,12],[2,5,7,8,10,11,12],[3,4,5,7,10,12,14],[3,4,6,7,9,11,13],[3,4,8,9,11,12,14],[3,5,6,8,9,12,13],[3,5,6,10,11,13,14],[4,5,6,7,8,9,10]]; G[5026]:=Group([(1,11)(3,12)(4,10)(6,8)]); # Design 5027: autom. group order 2, simple B[5027]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,7,12,13,14],[1,3,5,7,11,12,14],[1,3,6,9,10,12,14],[1,4,5,8,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,11,13],[1,5,6,7,8,9,11],[1,7,8,9,10,12,13],[2,3,7,8,9,10,14],[2,3,7,8,11,13,14],[2,4,5,9,10,13,14],[2,4,6,7,9,12,14],[2,4,6,8,11,12,13],[2,5,6,9,10,11,12],[2,5,7,8,10,11,12],[3,4,5,7,10,12,13],[3,4,6,7,9,11,13],[3,4,8,9,11,12,14],[3,5,6,8,9,12,13],[3,5,6,10,11,13,14],[4,5,6,7,8,10,14]]; G[5027]:=Group([(1,11)(3,12)(4,10)(6,8)]); # Design 5028: autom. group order 2, simple, residual B[5028]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,12,13],[1,2,6,7,9,10,13],[1,3,5,9,10,11,14],[1,3,6,7,9,12,14],[1,4,5,7,12,13,14],[1,4,6,8,10,11,14],[1,4,7,8,9,10,13],[1,5,6,8,11,12,13],[1,7,8,9,11,12,14],[2,3,7,8,10,11,14],[2,3,7,9,11,12,13],[2,4,5,8,9,12,14],[2,4,6,7,8,11,12],[2,4,6,9,11,13,14],[2,5,6,9,10,12,14],[2,5,7,8,10,13,14],[3,4,5,7,11,13,14],[3,4,6,10,12,13,14],[3,4,8,9,10,12,13],[3,5,6,7,8,10,12],[3,5,6,8,9,11,13],[4,5,6,7,9,10,11]]; G[5028]:=Group([(1,12)(2,10)(5,13)(7,14)]); # Design 5029: autom. group order 2, simple, residual B[5029]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,9,12,14],[1,3,5,8,12,13,14],[1,3,6,8,9,11,14],[1,4,5,7,11,13,14],[1,4,6,9,10,12,13],[1,4,7,8,9,11,12],[1,5,6,7,10,11,12],[1,7,8,9,10,13,14],[2,3,7,8,11,12,14],[2,3,7,9,10,11,13],[2,4,5,9,12,13,14],[2,4,6,7,8,10,14],[2,4,6,8,9,11,13],[2,5,6,7,8,12,13],[2,5,9,10,11,12,14],[3,4,5,7,9,10,14],[3,4,6,11,12,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,11,13],[3,5,6,8,9,10,12],[4,5,6,8,10,11,14]]; G[5029]:=Group([(1,12)(3,14)(4,9)(6,11)(7,10)(8,13)]); # Design 5030: autom. group order 2, simple, residual B[5030]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,7,12,13,14],[1,3,5,11,12,13,14],[1,3,6,9,10,12,14],[1,4,5,7,8,12,14],[1,4,6,8,10,11,14],[1,4,7,9,10,11,13],[1,5,6,7,8,9,11],[1,7,8,9,10,12,13],[2,3,7,8,9,10,14],[2,3,7,8,11,13,14],[2,4,5,9,10,13,14],[2,4,6,7,9,12,14],[2,4,6,8,11,12,13],[2,5,6,9,10,11,12],[2,5,7,8,10,11,12],[3,4,5,7,10,12,13],[3,4,6,7,9,11,13],[3,4,8,9,11,12,14],[3,5,6,7,10,11,14],[3,5,6,8,9,12,13],[4,5,6,8,10,13,14]]; G[5030]:=Group([(1,11)(3,12)(4,10)(6,8)]); # Design 5031: autom. group order 2, simple B[5031]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,12,13],[1,2,6,9,10,11,14],[1,3,5,7,10,12,14],[1,3,6,7,9,12,13],[1,4,5,7,8,11,13],[1,4,6,9,11,12,14],[1,4,7,8,9,11,14],[1,5,6,8,10,13,14],[1,7,8,9,10,12,13],[2,3,7,8,9,10,14],[2,3,8,9,11,12,13],[2,4,5,9,10,13,14],[2,4,6,7,8,10,12],[2,4,6,7,12,13,14],[2,5,6,7,9,11,13],[2,5,7,8,11,12,14],[3,4,5,9,12,13,14],[3,4,6,8,10,11,13],[3,4,7,10,11,13,14],[3,5,6,7,9,10,11],[3,5,6,8,11,12,14],[4,5,6,8,9,10,12]]; G[5031]:=Group([(1,11)(2,10)(5,13)(7,8)(9,14)]); # Design 5032: autom. group order 2, simple, residual B[5032]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,12,13],[1,2,6,9,10,11,14],[1,3,5,7,10,12,14],[1,3,6,7,9,12,13],[1,4,5,9,11,13,14],[1,4,6,7,8,11,12],[1,4,7,8,9,10,13],[1,5,6,8,10,13,14],[1,7,8,9,11,12,14],[2,3,7,8,9,10,14],[2,3,8,9,11,12,13],[2,4,5,7,8,11,14],[2,4,6,7,12,13,14],[2,4,6,9,10,12,14],[2,5,6,7,9,11,13],[2,5,7,8,10,12,13],[3,4,5,9,12,13,14],[3,4,6,8,10,11,13],[3,4,7,10,11,13,14],[3,5,6,7,9,10,11],[3,5,6,8,11,12,14],[4,5,6,8,9,10,12]]; G[5032]:=Group([(1,11)(2,10)(5,13)(7,8)(9,14)]); # Design 5033: autom. group order 2, simple B[5033]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,12,13],[1,2,6,9,10,11,14],[1,3,5,7,10,12,14],[1,3,6,7,9,12,13],[1,4,5,9,11,13,14],[1,4,6,7,8,11,12],[1,4,7,8,9,11,14],[1,5,6,8,10,13,14],[1,7,8,9,10,12,13],[2,3,7,8,9,10,14],[2,3,8,9,11,12,13],[2,4,5,7,8,10,13],[2,4,6,7,12,13,14],[2,4,6,9,10,12,14],[2,5,6,7,9,11,13],[2,5,7,8,11,12,14],[3,4,5,9,12,13,14],[3,4,6,8,10,11,13],[3,4,7,10,11,13,14],[3,5,6,7,9,10,11],[3,5,6,8,11,12,14],[4,5,6,8,9,10,12]]; G[5033]:=Group([(1,11)(2,10)(5,13)(7,8)(9,14)]); # Design 5034: autom. group order 2, simple, residual B[5034]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,12,13],[1,2,6,9,10,11,14],[1,3,5,7,10,12,14],[1,3,6,7,9,12,13],[1,4,5,8,10,13,14],[1,4,6,7,8,11,12],[1,4,7,8,9,11,14],[1,5,6,9,11,13,14],[1,7,8,9,10,12,13],[2,3,7,8,9,10,14],[2,3,8,9,11,12,13],[2,4,5,7,9,11,13],[2,4,6,7,12,13,14],[2,4,6,9,10,12,14],[2,5,6,7,8,10,13],[2,5,7,8,11,12,14],[3,4,5,9,12,13,14],[3,4,6,8,10,11,13],[3,4,7,10,11,13,14],[3,5,6,7,9,10,11],[3,5,6,8,11,12,14],[4,5,6,8,9,10,12]]; G[5034]:=Group([(1,11)(2,10)(5,13)(7,8)(9,14)]); # Design 5035: autom. group order 2, simple, residual B[5035]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,13,14],[1,2,6,9,10,11,12],[1,3,5,7,10,12,13],[1,3,6,7,9,12,14],[1,4,5,9,11,13,14],[1,4,6,8,9,10,13],[1,4,7,8,10,12,14],[1,5,6,7,8,11,14],[1,7,8,9,11,12,13],[2,3,7,8,9,10,13],[2,3,8,11,12,13,14],[2,4,5,7,8,11,12],[2,4,6,7,9,11,13],[2,4,6,7,12,13,14],[2,5,6,9,10,12,14],[2,5,7,8,9,10,14],[3,4,5,9,12,13,14],[3,4,6,8,10,11,14],[3,4,7,9,10,11,14],[3,5,6,7,10,11,13],[3,5,6,8,9,11,12],[4,5,6,8,10,12,13]]; G[5035]:=Group([(1,11)(2,10)(5,14)(7,8)]); # Design 5036: autom. group order 2, simple, residual B[5036]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,12,13],[1,2,6,9,10,11,14],[1,3,5,7,10,12,14],[1,3,6,7,9,12,13],[1,4,5,9,11,13,14],[1,4,6,8,10,12,14],[1,4,7,8,9,10,13],[1,5,6,7,8,11,13],[1,7,8,9,11,12,14],[2,3,7,8,9,10,14],[2,3,8,9,11,12,13],[2,4,5,7,8,11,14],[2,4,6,7,9,11,12],[2,4,6,7,12,13,14],[2,5,6,9,10,13,14],[2,5,7,8,10,12,13],[3,4,5,9,12,13,14],[3,4,6,8,10,11,13],[3,4,7,10,11,13,14],[3,5,6,7,9,10,11],[3,5,6,8,11,12,14],[4,5,6,8,9,10,12]]; G[5036]:=Group([(1,11)(2,10)(5,13)(7,8)(9,14)]); # Design 5037: autom. group order 2, simple B[5037]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,12,13],[1,2,6,9,10,11,14],[1,3,5,7,10,12,14],[1,3,6,7,9,12,13],[1,4,5,8,10,13,14],[1,4,6,9,11,12,14],[1,4,7,8,9,11,14],[1,5,6,7,8,11,13],[1,7,8,9,10,12,13],[2,3,7,8,9,10,14],[2,3,8,9,11,12,13],[2,4,5,7,9,11,13],[2,4,6,7,8,10,12],[2,4,6,7,12,13,14],[2,5,6,9,10,13,14],[2,5,7,8,11,12,14],[3,4,5,9,12,13,14],[3,4,6,8,10,11,13],[3,4,7,10,11,13,14],[3,5,6,7,9,10,11],[3,5,6,8,11,12,14],[4,5,6,8,9,10,12]]; G[5037]:=Group([(1,11)(2,10)(5,13)(7,8)(9,14)]); # Design 5038: autom. group order 2, simple, residual B[5038]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,8,12,13],[1,3,6,8,9,10,11],[1,4,5,7,10,11,14],[1,4,6,7,8,12,13],[1,4,7,9,10,12,14],[1,5,6,9,11,12,14],[1,7,8,9,10,11,13],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,9,11,12,13],[2,4,6,7,8,9,14],[2,4,6,8,10,11,12],[2,5,6,7,10,11,13],[2,5,7,8,10,12,14],[3,4,5,9,10,13,14],[3,4,6,7,11,13,14],[3,4,8,11,12,13,14],[3,5,6,7,9,11,12],[3,5,6,8,10,12,14],[4,5,6,8,9,10,13]]; G[5038]:=Group([(1,14)(2,13)(5,11)(9,12)]); # Design 5039: autom. group order 2, simple, residual B[5039]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,8,12,13],[1,3,6,8,10,11,12],[1,4,5,7,10,11,14],[1,4,6,7,8,9,13],[1,4,7,9,10,12,14],[1,5,6,9,11,12,14],[1,7,8,9,10,11,13],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,9,11,12,13],[2,4,6,7,8,12,14],[2,4,6,8,9,10,11],[2,5,6,7,10,11,13],[2,5,7,8,10,12,14],[3,4,5,9,10,13,14],[3,4,6,7,11,13,14],[3,4,8,11,12,13,14],[3,5,6,7,9,11,12],[3,5,6,8,9,10,14],[4,5,6,8,10,12,13]]; G[5039]:=Group([(1,14)(2,13)(5,11)(9,12)]); # Design 5040: autom. group order 2, simple, residual B[5040]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,10,12,13],[1,3,6,8,9,10,11],[1,4,5,7,8,11,14],[1,4,6,7,10,12,13],[1,4,7,8,9,12,14],[1,5,6,9,11,12,14],[1,7,8,9,10,11,13],[2,3,7,8,9,12,13],[2,3,7,9,10,11,14],[2,4,5,9,11,12,13],[2,4,6,7,9,10,14],[2,4,6,8,10,11,12],[2,5,6,7,8,11,13],[2,5,7,8,10,12,14],[3,4,5,9,10,13,14],[3,4,6,7,11,13,14],[3,4,8,11,12,13,14],[3,5,6,7,9,11,12],[3,5,6,8,10,12,14],[4,5,6,8,9,10,13]]; G[5040]:=Group([(1,14)(2,13)(5,11)(9,12)]); # Design 5041: autom. group order 2, simple, residual B[5041]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,10,12,13],[1,3,6,8,10,11,12],[1,4,5,7,8,11,14],[1,4,6,7,9,10,13],[1,4,7,8,9,12,14],[1,5,6,9,11,12,14],[1,7,8,9,10,11,13],[2,3,7,8,9,12,13],[2,3,7,9,10,11,14],[2,4,5,9,11,12,13],[2,4,6,7,10,12,14],[2,4,6,8,9,10,11],[2,5,6,7,8,11,13],[2,5,7,8,10,12,14],[3,4,5,9,10,13,14],[3,4,6,7,11,13,14],[3,4,8,11,12,13,14],[3,5,6,7,9,11,12],[3,5,6,8,9,10,14],[4,5,6,8,10,12,13]]; G[5041]:=Group([(1,14)(2,13)(5,11)(9,12)]); # Design 5042: autom. group order 2, simple B[5042]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,8,12,13],[1,3,6,8,9,10,11],[1,4,5,9,11,12,14],[1,4,6,7,8,12,13],[1,4,7,9,10,11,13],[1,5,6,7,10,11,14],[1,7,8,9,10,12,14],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,7,10,12,14],[2,4,6,7,8,9,14],[2,4,6,8,10,11,12],[2,5,6,9,11,12,13],[2,5,7,8,10,11,13],[3,4,5,9,10,13,14],[3,4,6,7,11,13,14],[3,4,8,11,12,13,14],[3,5,6,7,9,11,12],[3,5,6,8,10,12,14],[4,5,6,8,9,10,13]]; G[5042]:=Group([(1,14)(2,13)(5,11)(9,12)]); # Design 5043: autom. group order 2, simple B[5043]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,8,12,13],[1,3,6,8,9,10,11],[1,4,5,9,11,12,14],[1,4,6,7,8,12,13],[1,4,7,9,10,12,14],[1,5,6,7,10,11,14],[1,7,8,9,10,11,13],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,7,10,11,13],[2,4,6,7,8,9,14],[2,4,6,8,10,11,12],[2,5,6,9,11,12,13],[2,5,7,8,10,12,14],[3,4,5,9,10,13,14],[3,4,6,7,11,13,14],[3,4,8,11,12,13,14],[3,5,6,7,9,11,12],[3,5,6,8,10,12,14],[4,5,6,8,9,10,13]]; G[5043]:=Group([(1,14)(2,13)(5,11)(9,12)]); # Design 5044: autom. group order 2, simple B[5044]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,8,12,13],[1,3,6,8,10,11,12],[1,4,5,9,11,12,14],[1,4,6,7,8,9,13],[1,4,7,9,10,11,13],[1,5,6,7,10,11,14],[1,7,8,9,10,12,14],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,7,10,12,14],[2,4,6,7,8,12,14],[2,4,6,8,9,10,11],[2,5,6,9,11,12,13],[2,5,7,8,10,11,13],[3,4,5,9,10,13,14],[3,4,6,7,11,13,14],[3,4,8,11,12,13,14],[3,5,6,7,9,11,12],[3,5,6,8,9,10,14],[4,5,6,8,10,12,13]]; G[5044]:=Group([(1,14)(2,13)(5,11)(9,12)]); # Design 5045: autom. group order 2, simple B[5045]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,8,12,13],[1,3,6,8,10,11,12],[1,4,5,9,11,12,14],[1,4,6,7,8,9,13],[1,4,7,9,10,12,14],[1,5,6,7,10,11,14],[1,7,8,9,10,11,13],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,7,10,11,13],[2,4,6,7,8,12,14],[2,4,6,8,9,10,11],[2,5,6,9,11,12,13],[2,5,7,8,10,12,14],[3,4,5,9,10,13,14],[3,4,6,7,11,13,14],[3,4,8,11,12,13,14],[3,5,6,7,9,11,12],[3,5,6,8,9,10,14],[4,5,6,8,10,12,13]]; G[5045]:=Group([(1,14)(2,13)(5,11)(9,12)]); # Design 5046: autom. group order 2, simple, residual B[5046]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,13,14],[1,2,6,9,10,12,13],[1,3,5,7,10,12,14],[1,3,6,8,9,11,12],[1,4,5,9,11,13,14],[1,4,6,7,9,10,14],[1,4,7,8,10,12,13],[1,5,6,7,8,11,13],[1,7,8,9,11,12,14],[2,3,7,8,9,10,14],[2,3,7,11,12,13,14],[2,4,5,7,8,11,12],[2,4,6,7,9,11,14],[2,4,6,8,12,13,14],[2,5,6,9,10,11,12],[2,5,7,8,9,10,13],[3,4,5,9,12,13,14],[3,4,6,7,10,11,13],[3,4,8,9,10,11,13],[3,5,6,7,9,12,13],[3,5,6,8,10,11,14],[4,5,6,8,10,12,14]]; G[5046]:=Group([(1,11)(2,10)(5,13)]); # Design 5047: autom. group order 2, simple B[5047]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,10,12,13],[1,3,6,8,9,10,11],[1,4,5,9,11,12,14],[1,4,6,7,10,12,13],[1,4,7,8,9,12,14],[1,5,6,7,8,11,14],[1,7,8,9,10,11,13],[2,3,7,8,9,12,13],[2,3,7,9,10,11,14],[2,4,5,7,8,11,13],[2,4,6,7,9,10,14],[2,4,6,8,10,11,12],[2,5,6,9,11,12,13],[2,5,7,8,10,12,14],[3,4,5,9,10,13,14],[3,4,6,7,11,13,14],[3,4,8,11,12,13,14],[3,5,6,7,9,11,12],[3,5,6,8,10,12,14],[4,5,6,8,9,10,13]]; G[5047]:=Group([(1,14)(2,13)(5,11)(9,12)]); # Design 5048: autom. group order 2, simple B[5048]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,10,12,13],[1,3,6,8,10,11,12],[1,4,5,9,11,12,14],[1,4,6,7,9,10,13],[1,4,7,8,9,12,14],[1,5,6,7,8,11,14],[1,7,8,9,10,11,13],[2,3,7,8,9,12,13],[2,3,7,9,10,11,14],[2,4,5,7,8,11,13],[2,4,6,7,10,12,14],[2,4,6,8,9,10,11],[2,5,6,9,11,12,13],[2,5,7,8,10,12,14],[3,4,5,9,10,13,14],[3,4,6,7,11,13,14],[3,4,8,11,12,13,14],[3,5,6,7,9,11,12],[3,5,6,8,9,10,14],[4,5,6,8,10,12,13]]; G[5048]:=Group([(1,14)(2,13)(5,11)(9,12)]); # Design 5049: autom. group order 2, simple, residual B[5049]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,7,9,10,12],[1,3,5,11,12,13,14],[1,3,6,8,9,11,14],[1,4,5,9,10,11,14],[1,4,6,8,10,12,13],[1,4,7,8,9,12,13],[1,5,7,9,12,13,14],[1,6,7,8,10,11,14],[2,3,7,9,10,11,13],[2,3,8,10,12,13,14],[2,4,5,6,8,13,14],[2,4,6,9,11,12,14],[2,4,7,8,11,12,14],[2,5,6,9,11,12,13],[2,5,7,8,9,10,14],[3,4,5,7,10,12,14],[3,4,6,9,10,13,14],[3,4,7,8,9,11,13],[3,5,6,7,8,11,12],[3,5,6,8,9,10,12],[4,5,6,7,10,11,13]]; G[5049]:=Group([(1,12)(3,11)(5,14)(7,9)]); # Design 5050: autom. group order 2, simple, residual B[5050]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,10,13,14],[1,2,6,7,9,11,14],[1,3,5,9,11,12,14],[1,3,6,8,11,12,13],[1,4,5,8,9,11,13],[1,4,6,8,10,12,14],[1,4,7,9,10,12,14],[1,5,7,10,11,13,14],[1,6,7,8,9,12,13],[2,3,7,8,9,12,14],[2,3,8,9,10,13,14],[2,4,5,6,12,13,14],[2,4,6,9,11,13,14],[2,4,7,8,11,12,13],[2,5,6,9,10,11,12],[2,5,7,8,10,11,12],[3,4,5,7,12,13,14],[3,4,6,8,10,11,14],[3,4,7,9,10,11,13],[3,5,6,7,8,11,14],[3,5,6,9,10,12,13],[4,5,6,7,8,9,10]]; G[5050]:=Group([(1,12)(3,11)(4,10)(6,8)]); # Design 5051: autom. group order 2, simple, residual B[5051]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,10,13,14],[1,2,6,7,9,11,14],[1,3,5,11,12,13,14],[1,3,6,8,11,12,14],[1,4,5,8,9,11,13],[1,4,6,8,10,12,14],[1,4,7,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,12,13],[2,3,7,8,9,12,14],[2,3,8,9,10,13,14],[2,4,5,6,12,13,14],[2,4,6,9,11,13,14],[2,4,7,8,11,12,13],[2,5,6,9,10,11,12],[2,5,7,8,10,11,12],[3,4,5,7,9,12,14],[3,4,6,8,9,10,11],[3,4,7,10,11,13,14],[3,5,6,7,8,11,13],[3,5,6,9,10,12,13],[4,5,6,7,8,10,14]]; G[5051]:=Group([(1,12)(3,11)(4,10)(6,8)]); # Design 5052: autom. group order 2, simple, residual B[5052]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,7,8,9,12],[1,3,5,8,10,12,14],[1,3,6,9,10,11,14],[1,4,5,9,10,13,14],[1,4,6,8,11,12,13],[1,4,7,9,11,12,13],[1,5,7,9,11,12,14],[1,6,7,8,10,13,14],[2,3,7,9,10,11,13],[2,3,8,11,12,13,14],[2,4,5,6,11,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,12,14],[2,5,6,9,10,12,13],[2,5,7,8,9,11,14],[3,4,5,7,12,13,14],[3,4,6,8,9,11,14],[3,4,7,8,9,10,13],[3,5,6,7,10,11,12],[3,5,6,8,9,12,13],[4,5,6,7,8,10,11]]; G[5052]:=Group([(1,12)(3,10)(5,14)(7,9)]); # Design 5053: autom. group order 2, simple B[5053]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,9,11,13],[1,3,5,8,11,12,14],[1,3,6,9,11,12,14],[1,4,5,9,12,13,14],[1,4,6,8,10,12,13],[1,4,7,10,11,13,14],[1,5,7,8,9,10,14],[1,6,7,8,9,10,12],[2,3,7,8,12,13,14],[2,3,8,9,10,13,14],[2,4,5,6,9,10,14],[2,4,6,7,8,12,14],[2,4,7,9,11,12,14],[2,5,6,8,10,11,12],[2,5,9,10,11,12,13],[3,4,5,7,10,12,13],[3,4,6,8,9,11,13],[3,4,7,8,9,10,11],[3,5,6,7,9,12,13],[3,5,6,7,10,11,14],[4,5,6,8,11,13,14]]; G[5053]:=Group([(1,11)(3,12)(4,10)(6,9)(7,13)]); # Design 5054: autom. group order 2, simple, residual B[5054]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,10,11,13],[1,2,6,8,9,11,14],[1,3,5,8,12,13,14],[1,3,6,7,9,10,12],[1,4,5,7,8,13,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,13],[1,5,8,9,10,11,12],[1,6,7,8,9,10,14],[2,3,7,8,9,12,13],[2,3,7,8,11,12,14],[2,4,5,6,9,12,14],[2,4,6,8,10,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,11,13],[2,5,9,10,12,13,14],[3,4,5,9,10,11,14],[3,4,6,8,9,11,13],[3,4,7,9,10,13,14],[3,5,6,7,11,12,14],[3,5,6,8,10,11,13],[4,5,6,7,8,10,12]]; G[5054]:=Group([(2,11)(3,12)(5,13)(6,9)(8,14)]); # Design 5055: autom. group order 2, simple, residual B[5055]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,13,14],[1,2,6,8,9,12,13],[1,3,5,9,10,12,14],[1,3,6,7,8,11,14],[1,4,5,7,12,13,14],[1,4,6,9,10,13,14],[1,4,8,10,11,13,14],[1,5,7,9,10,11,12],[1,6,7,8,9,11,12],[2,3,7,8,10,12,14],[2,3,7,9,11,13,14],[2,4,5,6,11,12,14],[2,4,6,7,9,10,14],[2,4,7,9,11,12,13],[2,5,6,8,10,12,13],[2,5,8,9,10,11,14],[3,4,5,8,9,11,13],[3,4,6,8,9,12,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,13],[3,5,6,11,12,13,14],[4,5,6,7,8,10,11]]; G[5055]:=Group([(2,13)(3,14)(5,10)(6,8)(7,11)]); # Design 5056: autom. group order 2, simple, residual B[5056]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,9,10,11],[1,3,5,8,10,12,13],[1,3,6,7,9,12,14],[1,4,5,7,8,13,14],[1,4,6,8,11,12,13],[1,4,9,11,12,13,14],[1,5,7,9,10,11,12],[1,6,7,8,9,10,14],[2,3,7,8,9,11,13],[2,3,7,8,11,12,14],[2,4,5,6,9,12,14],[2,4,6,7,10,12,13],[2,4,8,9,10,13,14],[2,5,6,8,11,12,14],[2,5,7,9,10,12,13],[3,4,5,9,10,11,14],[3,4,6,7,9,11,13],[3,4,7,8,10,12,14],[3,5,6,8,9,12,13],[3,5,6,10,11,13,14],[4,5,6,7,8,10,11]]; G[5056]:=Group([(2,11)(3,12)(5,13)(6,9)(7,14)]); # Design 5057: autom. group order 2, simple B[5057]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,13,14],[1,2,6,8,9,12,13],[1,3,5,9,10,12,14],[1,3,6,7,8,11,14],[1,4,5,7,12,13,14],[1,4,6,9,10,13,14],[1,4,8,10,11,13,14],[1,5,7,9,10,11,12],[1,6,7,8,9,11,12],[2,3,7,8,9,10,14],[2,3,7,11,12,13,14],[2,4,5,6,9,11,14],[2,4,6,7,10,12,14],[2,4,8,9,11,12,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,13],[3,4,5,8,11,12,13],[3,4,6,7,9,12,13],[3,4,7,8,9,10,13],[3,5,6,8,10,12,14],[3,5,6,9,11,13,14],[4,5,6,7,8,10,11]]; G[5057]:=Group([(2,13)(3,14)(5,10)(6,8)(7,11)]); # Design 5058: autom. group order 2, simple B[5058]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,9,10,11],[1,3,5,8,10,12,13],[1,3,6,7,9,12,14],[1,4,5,7,8,13,14],[1,4,6,8,11,12,13],[1,4,9,11,12,13,14],[1,5,7,9,10,11,12],[1,6,7,8,9,10,14],[2,3,7,8,11,12,14],[2,3,8,9,12,13,14],[2,4,5,6,9,12,14],[2,4,6,7,10,12,13],[2,4,7,8,10,11,14],[2,5,6,8,9,11,13],[2,5,7,9,10,12,13],[3,4,5,9,10,11,14],[3,4,6,7,9,11,13],[3,4,7,8,9,10,13],[3,5,6,7,8,11,12],[3,5,6,10,11,13,14],[4,5,6,8,10,12,14]]; G[5058]:=Group([(2,11)(3,12)(5,13)(6,9)(7,14)]); # Design 5059: autom. group order 2, simple, residual B[5059]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,8,9,12,13],[1,3,5,9,10,12,14],[1,3,6,7,9,10,11],[1,4,5,9,11,13,14],[1,4,6,10,12,13,14],[1,4,7,8,10,13,14],[1,5,7,8,11,12,14],[1,6,7,8,9,11,12],[2,3,7,9,12,13,14],[2,3,8,10,11,12,14],[2,4,5,6,11,12,14],[2,4,6,7,9,10,14],[2,4,7,9,11,12,13],[2,5,6,8,10,11,13],[2,5,7,8,9,10,14],[3,4,5,7,8,12,13],[3,4,6,7,8,11,14],[3,4,8,9,10,11,13],[3,5,6,7,10,12,13],[3,5,6,9,11,13,14],[4,5,6,8,9,10,12]]; G[5059]:=Group([(2,13)(3,14)(5,10)(6,8)(9,12)]); # Design 5060: autom. group order 2, simple B[5060]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,8,9,12,13],[1,3,5,9,10,12,14],[1,3,6,7,9,10,11],[1,4,5,9,11,13,14],[1,4,6,10,12,13,14],[1,4,7,8,10,13,14],[1,5,7,8,11,12,14],[1,6,7,8,9,11,12],[2,3,7,9,12,13,14],[2,3,8,10,11,12,14],[2,4,5,6,11,12,14],[2,4,6,7,9,10,14],[2,4,7,8,9,11,14],[2,5,6,8,10,11,13],[2,5,7,9,10,12,13],[3,4,5,7,8,12,13],[3,4,6,7,11,12,13],[3,4,8,9,10,11,13],[3,5,6,7,8,10,14],[3,5,6,9,11,13,14],[4,5,6,8,9,10,12]]; G[5060]:=Group([(2,13)(3,14)(5,10)(6,8)(9,12)]); # Design 5061: autom. group order 2, simple B[5061]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,8,9,12,13],[1,3,5,9,10,12,14],[1,3,6,7,9,10,11],[1,4,5,9,11,13,14],[1,4,6,10,12,13,14],[1,4,7,8,10,13,14],[1,5,7,8,11,12,14],[1,6,7,8,9,11,12],[2,3,7,8,10,12,14],[2,3,9,11,12,13,14],[2,4,5,6,11,12,14],[2,4,6,7,9,10,14],[2,4,7,8,9,11,14],[2,5,6,8,10,11,13],[2,5,7,9,10,12,13],[3,4,5,7,8,12,13],[3,4,6,7,11,12,13],[3,4,8,9,10,11,13],[3,5,6,7,9,13,14],[3,5,6,8,10,11,14],[4,5,6,8,9,10,12]]; G[5061]:=Group([(2,13)(3,14)(5,10)(6,8)(9,12)]); # Design 5062: autom. group order 2, simple, residual B[5062]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,13,14],[1,2,6,7,8,11,14],[1,3,5,7,11,12,14],[1,3,6,9,11,12,13],[1,4,5,7,9,11,13],[1,4,6,9,10,12,14],[1,4,7,8,10,12,14],[1,5,8,10,11,13,14],[1,6,7,8,9,12,13],[2,3,7,8,9,12,14],[2,3,7,9,10,13,14],[2,4,5,6,12,13,14],[2,4,6,7,11,13,14],[2,4,8,9,11,12,13],[2,5,6,8,10,11,12],[2,5,7,9,10,11,12],[3,4,5,8,12,13,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,13],[3,5,6,7,10,12,13],[3,5,6,8,9,11,14],[4,5,6,7,8,9,10]]; G[5062]:=Group([(1,12)(3,11)(4,10)(6,9)]); # Design 5063: autom. group order 2, simple, residual B[5063]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,10,11],[1,3,5,7,10,12,13],[1,3,6,8,9,12,14],[1,4,5,7,8,13,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,13],[1,5,8,9,10,11,12],[1,6,7,8,9,10,14],[2,3,7,8,11,12,14],[2,3,7,9,11,13,14],[2,4,5,6,9,12,14],[2,4,6,8,10,12,13],[2,4,7,8,9,10,13],[2,5,6,7,8,11,12],[2,5,9,10,12,13,14],[3,4,5,9,10,11,14],[3,4,6,8,9,11,13],[3,4,7,8,10,12,14],[3,5,6,7,9,12,13],[3,5,6,8,10,11,13],[4,5,6,7,10,11,14]]; G[5063]:=Group([(2,11)(3,12)(5,13)(6,9)(8,14)]); # Design 5064: autom. group order 2, simple B[5064]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,10,11],[1,3,5,7,10,12,13],[1,3,6,8,9,12,14],[1,4,5,7,8,13,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,13],[1,5,8,9,10,11,12],[1,6,7,8,9,10,14],[2,3,7,8,9,12,13],[2,3,7,8,11,12,14],[2,4,5,6,9,12,14],[2,4,6,8,10,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,11,13],[2,5,9,10,12,13,14],[3,4,5,9,10,11,14],[3,4,6,8,9,11,13],[3,4,7,9,10,13,14],[3,5,6,7,11,12,14],[3,5,6,8,10,11,13],[4,5,6,7,8,10,12]]; G[5064]:=Group([(2,11)(3,12)(5,13)(6,9)(8,14)]); # Design 5065: autom. group order 2, simple, residual B[5065]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,8,12,13],[1,3,5,7,10,12,14],[1,3,6,9,10,11,12],[1,4,5,7,11,13,14],[1,4,6,9,10,13,14],[1,4,8,10,12,13,14],[1,5,7,8,9,11,14],[1,6,7,8,9,11,12],[2,3,7,8,10,11,14],[2,3,7,9,12,13,14],[2,4,5,6,11,12,14],[2,4,6,7,9,10,14],[2,4,7,9,11,12,13],[2,5,6,8,10,11,13],[2,5,8,9,10,12,14],[3,4,5,8,9,12,13],[3,4,6,8,9,11,14],[3,4,7,8,10,11,13],[3,5,6,7,9,10,13],[3,5,6,11,12,13,14],[4,5,6,7,8,10,12]]; G[5065]:=Group([(2,13)(3,14)(5,10)(6,8)(7,12)]); # Design 5066: autom. group order 2, simple B[5066]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,8,12,13],[1,3,5,7,10,12,14],[1,3,6,9,10,11,12],[1,4,5,7,11,13,14],[1,4,6,9,10,13,14],[1,4,8,10,12,13,14],[1,5,7,8,9,11,14],[1,6,7,8,9,11,12],[2,3,7,8,9,10,14],[2,3,7,11,12,13,14],[2,4,5,6,9,12,14],[2,4,6,7,10,11,14],[2,4,8,9,11,12,14],[2,5,6,8,10,11,13],[2,5,7,9,10,12,13],[3,4,5,8,11,12,13],[3,4,6,7,9,11,13],[3,4,7,8,9,10,13],[3,5,6,8,10,11,14],[3,5,6,9,12,13,14],[4,5,6,7,8,10,12]]; G[5066]:=Group([(2,13)(3,14)(5,10)(6,8)(7,12)]); # Design 5067: autom. group order 2, simple B[5067]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,8,12,13],[1,3,5,7,10,12,14],[1,3,6,9,10,11,12],[1,4,5,7,11,13,14],[1,4,6,9,10,13,14],[1,4,8,10,12,13,14],[1,5,7,8,9,11,14],[1,6,7,8,9,11,12],[2,3,7,8,10,11,14],[2,3,7,9,12,13,14],[2,4,5,6,11,12,14],[2,4,6,7,9,10,14],[2,4,8,9,11,12,14],[2,5,6,8,10,11,13],[2,5,7,9,10,12,13],[3,4,5,8,9,12,13],[3,4,6,7,9,11,13],[3,4,7,8,10,11,13],[3,5,6,8,9,10,14],[3,5,6,11,12,13,14],[4,5,6,7,8,10,12]]; G[5067]:=Group([(2,13)(3,14)(5,10)(6,8)(7,12)]); # Design 5068: autom. group order 2, simple, residual B[5068]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,9,11,14],[1,3,5,7,12,13,14],[1,3,6,8,9,10,12],[1,4,5,7,8,13,14],[1,4,6,8,11,12,13],[1,4,9,11,12,13,14],[1,5,7,9,10,11,12],[1,6,7,8,9,10,14],[2,3,7,8,11,12,14],[2,3,8,9,12,13,14],[2,4,5,6,9,12,14],[2,4,6,7,10,12,13],[2,4,7,8,10,11,14],[2,5,6,8,9,11,13],[2,5,7,9,10,12,13],[3,4,5,9,10,11,14],[3,4,6,7,9,11,13],[3,4,7,8,9,10,13],[3,5,6,7,8,11,12],[3,5,6,10,11,13,14],[4,5,6,8,10,12,14]]; G[5068]:=Group([(2,11)(3,12)(5,13)(6,9)(7,14)]); # Design 5069: autom. group order 2, simple, residual B[5069]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,13,14],[1,2,6,7,9,11,13],[1,3,5,7,11,12,13],[1,3,6,8,11,12,14],[1,4,5,8,9,11,14],[1,4,6,7,8,10,12],[1,4,7,9,10,12,14],[1,5,7,9,12,13,14],[1,6,8,9,10,11,13],[2,3,7,8,9,10,14],[2,3,7,8,9,12,13],[2,4,5,6,12,13,14],[2,4,6,7,9,11,14],[2,4,8,11,12,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,11,12],[3,4,5,9,10,11,13],[3,4,6,8,9,12,13],[3,4,7,10,11,13,14],[3,5,6,7,8,11,14],[3,5,6,9,10,12,14],[4,5,6,7,8,10,13]]; G[5069]:=Group([(1,12)(3,11)(4,10)(6,8)]); # Design 5070: autom. group order 2, simple, residual B[5070]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,9,11,12],[1,3,5,7,8,11,14],[1,3,6,8,9,10,13],[1,4,5,10,12,13,14],[1,4,6,7,11,13,14],[1,4,8,9,10,11,14],[1,5,7,9,10,12,13],[1,6,7,8,9,12,14],[2,3,7,9,10,11,14],[2,3,8,9,12,13,14],[2,4,5,6,9,12,14],[2,4,6,7,8,10,13],[2,4,7,8,10,12,14],[2,5,6,8,11,13,14],[2,5,7,9,10,11,13],[3,4,5,7,9,13,14],[3,4,6,9,11,12,13],[3,4,7,8,11,12,13],[3,5,6,7,8,10,12],[3,5,6,10,11,12,14],[4,5,6,8,9,10,11]]; G[5070]:=Group([(1,12)(2,11)(5,13)(7,9)]); # Design 5071: autom. group order 2, simple, residual B[5071]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,9,12,13],[1,3,5,7,8,12,14],[1,3,6,8,9,12,14],[1,4,5,9,11,13,14],[1,4,6,7,8,11,13],[1,4,9,10,12,13,14],[1,5,7,9,10,11,12],[1,6,7,8,10,11,14],[2,3,7,9,11,12,13],[2,3,8,9,10,11,14],[2,4,5,6,11,12,14],[2,4,6,7,9,10,14],[2,4,7,8,11,12,14],[2,5,6,8,10,12,13],[2,5,7,8,9,13,14],[3,4,5,7,10,13,14],[3,4,6,8,9,11,13],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,11,12,13,14],[4,5,6,8,9,10,12]]; G[5071]:=Group([(1,7)(3,9)(4,13)(5,12)(8,11)(10,14)]); # Design 5072: autom. group order 2, simple, residual B[5072]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,7,9,12,13],[1,3,5,7,10,12,14],[1,3,6,8,9,11,14],[1,4,5,8,12,13,14],[1,4,6,10,11,13,14],[1,4,7,9,10,13,14],[1,5,7,8,10,11,12],[1,6,7,8,9,11,12],[2,3,7,8,11,13,14],[2,3,9,10,11,12,14],[2,4,5,6,7,11,14],[2,4,6,8,10,12,14],[2,4,7,8,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,13],[3,4,5,9,11,12,13],[3,4,6,7,11,12,13],[3,4,7,8,9,10,13],[3,5,6,7,9,10,14],[3,5,6,8,12,13,14],[4,5,6,8,9,10,11]]; G[5072]:=Group([(2,13)(3,14)(5,10)(6,9)(8,11)]); # Design 5073: autom. group order 2, simple, residual B[5073]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,7,9,12,13],[1,3,5,7,10,12,14],[1,3,6,8,9,11,14],[1,4,5,8,12,13,14],[1,4,6,10,11,13,14],[1,4,7,9,10,13,14],[1,5,7,8,10,11,12],[1,6,7,8,9,11,12],[2,3,7,8,11,13,14],[2,3,9,10,11,12,14],[2,4,5,6,7,11,14],[2,4,6,8,10,12,14],[2,4,7,8,11,12,13],[2,5,6,9,10,12,13],[2,5,7,8,9,10,14],[3,4,5,9,11,12,13],[3,4,6,7,9,12,14],[3,4,7,8,9,10,13],[3,5,6,7,10,11,13],[3,5,6,8,12,13,14],[4,5,6,8,9,10,11]]; G[5073]:=Group([(2,13)(3,14)(5,10)(6,9)(8,11)]); # Design 5074: autom. group order 2, simple B[5074]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,7,9,12,13],[1,3,5,7,10,12,14],[1,3,6,8,9,11,14],[1,4,5,8,12,13,14],[1,4,6,10,11,13,14],[1,4,7,9,10,13,14],[1,5,7,8,10,11,12],[1,6,7,8,9,11,12],[2,3,7,9,10,11,14],[2,3,8,11,12,13,14],[2,4,5,6,11,12,14],[2,4,6,7,8,10,14],[2,4,7,8,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,13],[3,4,5,7,9,11,13],[3,4,6,7,11,12,13],[3,4,8,9,10,12,13],[3,5,6,7,8,13,14],[3,5,6,9,10,12,14],[4,5,6,8,9,10,11]]; G[5074]:=Group([(2,13)(3,14)(5,10)(6,9)(8,11)]); # Design 5075: autom. group order 2, simple, residual B[5075]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,7,9,12,13],[1,3,5,7,10,12,14],[1,3,6,8,9,11,14],[1,4,5,8,12,13,14],[1,4,6,10,11,13,14],[1,4,7,9,10,13,14],[1,5,7,8,10,11,12],[1,6,7,8,9,11,12],[2,3,7,8,11,13,14],[2,3,9,10,11,12,14],[2,4,5,6,11,12,14],[2,4,6,7,8,10,14],[2,4,7,8,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,13],[3,4,5,7,9,11,13],[3,4,6,7,11,12,13],[3,4,8,9,10,12,13],[3,5,6,7,9,10,14],[3,5,6,8,12,13,14],[4,5,6,8,9,10,11]]; G[5075]:=Group([(2,13)(3,14)(5,10)(6,9)(8,11)]); # Design 5076: autom. group order 2, simple, residual B[5076]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,7,9,12,13],[1,3,5,7,10,12,14],[1,3,6,8,9,11,14],[1,4,5,8,12,13,14],[1,4,6,10,11,13,14],[1,4,7,9,10,13,14],[1,5,7,8,10,11,12],[1,6,7,8,9,11,12],[2,3,7,8,11,13,14],[2,3,9,10,11,12,14],[2,4,5,6,11,12,14],[2,4,6,7,8,10,14],[2,4,7,8,11,12,13],[2,5,6,9,10,12,13],[2,5,7,8,9,10,14],[3,4,5,7,9,11,13],[3,4,6,7,9,12,14],[3,4,8,9,10,12,13],[3,5,6,7,10,11,13],[3,5,6,8,12,13,14],[4,5,6,8,9,10,11]]; G[5076]:=Group([(2,13)(3,14)(5,10)(6,9)(8,11)]); # Design 5077: autom. group order 2, simple, residual B[5077]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,8,9,12],[1,3,5,9,10,12,14],[1,3,6,7,10,11,14],[1,4,5,7,10,13,14],[1,4,6,9,11,12,13],[1,4,7,8,11,12,13],[1,5,7,8,11,12,14],[1,6,8,9,10,13,14],[2,3,7,8,10,11,13],[2,3,9,11,12,13,14],[2,4,5,6,11,13,14],[2,4,6,8,10,12,14],[2,4,7,9,10,12,14],[2,5,6,7,10,12,13],[2,5,7,8,9,11,14],[3,4,5,8,12,13,14],[3,4,6,7,9,11,14],[3,4,7,8,9,10,13],[3,5,6,7,9,12,13],[3,5,6,8,10,11,12],[4,5,6,8,9,10,11]]; G[5077]:=Group([(1,12)(3,10)(5,14)(7,8)]); # Design 5078: autom. group order 2, simple, residual B[5078]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,8,10,12],[1,3,5,11,12,13,14],[1,3,6,7,9,11,14],[1,4,5,7,10,11,14],[1,4,6,9,10,12,13],[1,4,7,8,9,12,13],[1,5,7,8,12,13,14],[1,6,8,9,10,11,14],[2,3,7,8,10,11,13],[2,3,9,10,12,13,14],[2,4,5,6,9,13,14],[2,4,6,8,11,12,14],[2,4,7,9,11,12,14],[2,5,6,7,11,12,13],[2,5,7,8,9,10,14],[3,4,5,8,10,12,14],[3,4,6,7,10,13,14],[3,4,7,8,9,11,13],[3,5,6,7,9,10,12],[3,5,6,8,9,11,12],[4,5,6,8,10,11,13]]; G[5078]:=Group([(1,12)(3,11)(5,14)(7,8)]); # Design 5079: autom. group order 2, simple B[5079]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,13,14],[1,2,6,7,8,11,14],[1,3,5,11,12,13,14],[1,3,6,9,11,12,14],[1,4,5,7,9,11,13],[1,4,6,7,9,10,12],[1,4,8,10,12,13,14],[1,5,7,8,10,11,14],[1,6,7,8,9,12,13],[2,3,7,8,9,12,14],[2,3,7,9,10,13,14],[2,4,5,6,12,13,14],[2,4,6,7,11,13,14],[2,4,8,9,11,12,13],[2,5,6,8,10,11,12],[2,5,7,9,10,11,12],[3,4,5,7,8,12,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,13],[3,5,6,7,10,12,13],[3,5,6,8,9,11,13],[4,5,6,8,9,10,14]]; G[5079]:=Group([(1,12)(3,11)(4,10)(6,9)]); # Design 5080: autom. group order 2, simple, residual B[5080]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,13,14],[1,2,6,7,9,11,13],[1,3,5,9,11,12,13],[1,3,6,8,11,12,14],[1,4,5,7,8,11,14],[1,4,6,8,9,10,12],[1,4,7,9,10,12,14],[1,5,7,9,12,13,14],[1,6,7,8,10,11,13],[2,3,7,8,9,10,14],[2,3,7,8,9,12,13],[2,4,5,6,12,13,14],[2,4,6,7,9,11,14],[2,4,8,11,12,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,11,12],[3,4,5,7,10,11,13],[3,4,6,7,8,12,13],[3,4,9,10,11,13,14],[3,5,6,7,10,12,14],[3,5,6,8,9,11,14],[4,5,6,8,9,10,13]]; G[5080]:=Group([(1,12)(3,11)(4,10)(6,8)]); # Design 5081: autom. group order 2, simple, residual B[5081]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,13,14],[1,2,6,7,8,11,14],[1,3,5,11,12,13,14],[1,3,6,9,11,12,14],[1,4,5,7,9,11,13],[1,4,6,9,10,12,14],[1,4,7,8,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,12,13],[2,3,7,8,9,12,14],[2,3,7,9,10,13,14],[2,4,5,6,12,13,14],[2,4,6,7,11,13,14],[2,4,8,9,11,12,13],[2,5,6,8,10,11,12],[2,5,7,9,10,11,12],[3,4,5,7,8,12,14],[3,4,6,7,9,10,11],[3,4,8,10,11,13,14],[3,5,6,7,10,12,13],[3,5,6,8,9,11,13],[4,5,6,8,9,10,14]]; G[5081]:=Group([(1,12)(3,11)(4,10)(6,9)]); # Design 5082: autom. group order 2, simple, residual B[5082]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,8,11,13,14],[1,3,5,7,11,12,14],[1,3,6,7,9,10,11],[1,4,5,7,12,13,14],[1,4,6,8,9,12,14],[1,4,7,8,10,13,14],[1,5,9,10,11,12,13],[1,6,7,8,9,10,12],[2,3,7,8,9,12,13],[2,3,7,9,12,13,14],[2,4,5,6,10,12,13],[2,4,6,9,11,12,14],[2,4,7,9,10,11,14],[2,5,6,7,8,10,12],[2,5,7,8,10,11,14],[3,4,5,8,9,10,14],[3,4,6,7,8,11,13],[3,4,8,10,11,12,13],[3,5,6,8,11,12,14],[3,5,6,9,10,13,14],[4,5,6,7,9,11,13]]; G[5082]:=Group([(1,5)(2,9)(3,13)(4,11)(6,10)(7,12)]); # Design 5083: autom. group order 2, simple B[5083]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,12,14],[1,2,6,9,10,13,14],[1,3,5,7,11,13,14],[1,3,6,7,9,12,14],[1,4,5,8,11,13,14],[1,4,6,8,9,12,14],[1,4,7,9,10,11,13],[1,5,7,8,9,10,12],[1,6,7,8,11,12,13],[2,3,7,8,9,11,14],[2,3,8,9,11,12,13],[2,4,5,6,7,12,13],[2,4,6,7,8,11,14],[2,4,7,9,10,13,14],[2,5,6,9,11,12,13],[2,5,7,8,10,12,14],[3,4,5,9,12,13,14],[3,4,6,10,11,12,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,10,13,14],[4,5,6,8,9,10,11]]; G[5083]:=Group([(1,14)(3,7)(4,8)(5,11)(6,9)]); # Design 5084: autom. group order 2, simple B[5084]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,9,10,12,14],[1,3,5,7,11,12,14],[1,3,6,7,9,13,14],[1,4,5,8,11,13,14],[1,4,6,8,9,12,14],[1,4,7,9,10,11,12],[1,5,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,7,8,9,11,14],[2,3,8,9,11,12,13],[2,4,5,6,7,12,13],[2,4,6,7,8,11,14],[2,4,7,9,10,13,14],[2,5,6,9,11,12,13],[2,5,7,8,10,12,14],[3,4,5,9,12,13,14],[3,4,6,10,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,10,12,14],[4,5,6,8,9,10,11]]; G[5084]:=Group([(1,14)(3,7)(4,8)(5,11)(6,9)]); # Design 5085: autom. group order 2, simple B[5085]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,9,10,12,14],[1,3,5,7,11,13,14],[1,3,6,7,9,12,14],[1,4,5,8,11,12,14],[1,4,6,8,9,13,14],[1,4,7,9,10,11,12],[1,5,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,7,8,9,11,14],[2,3,8,9,11,12,13],[2,4,5,6,7,12,13],[2,4,6,7,8,11,14],[2,4,7,9,10,13,14],[2,5,6,9,11,12,13],[2,5,7,8,10,12,14],[3,4,5,9,12,13,14],[3,4,6,10,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,10,12,14],[4,5,6,8,9,10,11]]; G[5085]:=Group([(1,14)(3,7)(4,8)(5,11)(6,9)]); # Design 5086: autom. group order 2, simple B[5086]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,9,10,12,14],[1,3,5,7,11,12,14],[1,3,6,7,9,13,14],[1,4,5,8,11,13,14],[1,4,6,8,9,12,14],[1,4,7,9,10,11,12],[1,5,7,8,9,12,13],[1,6,7,8,10,11,13],[2,3,7,8,9,11,14],[2,3,8,9,11,12,13],[2,4,5,6,7,12,13],[2,4,6,7,8,11,14],[2,4,7,9,10,13,14],[2,5,6,9,11,12,13],[2,5,7,8,10,12,14],[3,4,5,9,10,13,14],[3,4,6,11,12,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,10,12,14],[4,5,6,8,9,10,11]]; G[5086]:=Group([(1,14)(3,7)(4,8)(5,11)(6,9)]); # Design 5087: autom. group order 2, simple B[5087]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,9,10,12,14],[1,3,5,7,11,13,14],[1,3,6,7,9,12,14],[1,4,5,8,11,12,14],[1,4,6,8,9,13,14],[1,4,7,9,10,11,12],[1,5,7,8,9,12,13],[1,6,7,8,10,11,13],[2,3,7,8,9,11,14],[2,3,8,9,11,12,13],[2,4,5,6,7,12,13],[2,4,6,7,8,11,14],[2,4,7,9,10,13,14],[2,5,6,9,11,12,13],[2,5,7,8,10,12,14],[3,4,5,9,10,13,14],[3,4,6,11,12,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,10,12,14],[4,5,6,8,9,10,11]]; G[5087]:=Group([(1,14)(3,7)(4,8)(5,11)(6,9)]); # Design 5088: autom. group order 2, simple B[5088]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,9,10,12,14],[1,3,5,7,11,13,14],[1,3,6,7,9,12,14],[1,4,5,8,11,12,14],[1,4,6,8,9,13,14],[1,4,7,9,10,11,13],[1,5,7,8,9,12,13],[1,6,7,8,10,11,12],[2,3,7,8,9,11,14],[2,3,8,9,11,12,13],[2,4,5,6,7,12,13],[2,4,6,7,8,11,14],[2,4,7,9,10,13,14],[2,5,6,9,11,12,13],[2,5,7,8,10,12,14],[3,4,5,9,10,12,14],[3,4,6,11,12,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,10,13,14],[4,5,6,8,9,10,11]]; G[5088]:=Group([(1,14)(3,7)(4,8)(5,11)(6,9)]); # Design 5089: autom. group order 2, simple B[5089]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,12,14],[1,2,6,9,10,13,14],[1,3,5,7,11,13,14],[1,3,6,7,9,12,14],[1,4,5,8,11,13,14],[1,4,6,8,9,12,14],[1,4,7,9,11,12,13],[1,5,7,8,9,10,12],[1,6,7,8,10,11,13],[2,3,7,8,9,11,14],[2,3,8,9,11,12,13],[2,4,5,6,7,12,13],[2,4,6,7,8,11,14],[2,4,7,9,10,13,14],[2,5,6,9,11,12,13],[2,5,7,8,10,12,14],[3,4,5,9,10,13,14],[3,4,6,10,11,12,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,12,13,14],[4,5,6,8,9,10,11]]; G[5089]:=Group([(1,14)(3,7)(4,8)(5,11)(6,9)]); # Design 5090: autom. group order 2, simple B[5090]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,9,10,12,14],[1,3,5,7,11,12,14],[1,3,6,7,9,13,14],[1,4,5,8,11,13,14],[1,4,6,8,9,12,14],[1,4,7,9,11,12,13],[1,5,7,8,9,10,12],[1,6,7,8,10,11,13],[2,3,7,8,9,11,14],[2,3,8,9,11,12,13],[2,4,5,6,7,12,13],[2,4,6,7,8,11,14],[2,4,7,9,10,13,14],[2,5,6,9,11,12,13],[2,5,7,8,10,12,14],[3,4,5,9,10,13,14],[3,4,6,10,11,12,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,12,13,14],[4,5,6,8,9,10,11]]; G[5090]:=Group([(1,14)(3,7)(4,8)(5,11)(6,9)]); # Design 5091: autom. group order 2, simple B[5091]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,9,10,12,14],[1,3,5,7,11,12,14],[1,3,6,7,9,13,14],[1,4,5,8,11,13,14],[1,4,6,8,9,12,14],[1,4,7,9,11,12,13],[1,5,7,8,9,10,13],[1,6,7,8,10,11,12],[2,3,7,8,9,11,14],[2,3,8,9,11,12,13],[2,4,5,6,7,12,13],[2,4,6,7,8,11,14],[2,4,7,9,10,13,14],[2,5,6,9,11,12,13],[2,5,7,8,10,12,14],[3,4,5,9,10,12,14],[3,4,6,10,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,12,13,14],[4,5,6,8,9,10,11]]; G[5091]:=Group([(1,14)(3,7)(4,8)(5,11)(6,9)]); # Design 5092: autom. group order 2, simple B[5092]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,9,10,12,14],[1,3,5,7,11,13,14],[1,3,6,7,9,12,14],[1,4,5,8,11,12,14],[1,4,6,8,9,13,14],[1,4,7,9,11,12,13],[1,5,7,8,9,10,13],[1,6,7,8,10,11,12],[2,3,7,8,9,11,14],[2,3,8,9,11,12,13],[2,4,5,6,7,12,13],[2,4,6,7,8,11,14],[2,4,7,9,10,13,14],[2,5,6,9,11,12,13],[2,5,7,8,10,12,14],[3,4,5,9,10,12,14],[3,4,6,10,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,12,13,14],[4,5,6,8,9,10,11]]; G[5092]:=Group([(1,14)(3,7)(4,8)(5,11)(6,9)]); # Design 5093: autom. group order 2, simple, residual B[5093]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,11,12,14],[1,3,6,7,9,10,14],[1,4,5,8,11,13,14],[1,4,6,8,9,12,14],[1,4,7,9,10,11,12],[1,5,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,7,8,9,11,14],[2,3,8,9,11,12,13],[2,4,5,6,7,12,13],[2,4,6,7,8,11,14],[2,4,7,9,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,12,14],[3,4,5,9,12,13,14],[3,4,6,10,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,11,13],[3,5,6,8,10,12,14],[4,5,6,8,9,10,11]]; G[5093]:=Group([(1,14)(3,7)(4,8)(5,11)(6,9)]); # Design 5094: autom. group order 2, simple B[5094]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,12,14],[1,2,6,9,11,13,14],[1,3,5,7,12,13,14],[1,3,6,7,9,10,14],[1,4,5,8,12,13,14],[1,4,6,8,9,11,14],[1,4,7,9,10,12,13],[1,5,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,7,8,9,12,14],[2,3,8,9,11,12,13],[2,4,5,6,7,11,13],[2,4,6,7,8,12,14],[2,4,7,9,10,13,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,9,10,11,14],[3,4,6,11,12,13,14],[3,4,7,8,10,11,13],[3,5,6,7,9,11,12],[3,5,6,8,10,13,14],[4,5,6,8,9,10,12]]; G[5094]:=Group([(1,14)(3,7)(4,8)(5,12)(6,9)]); # Design 5095: autom. group order 2, simple, residual B[5095]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,11,12,14],[1,3,6,7,9,10,14],[1,4,5,8,11,13,14],[1,4,6,8,9,12,14],[1,4,7,9,10,11,12],[1,5,7,8,9,12,13],[1,6,7,8,10,11,13],[2,3,7,8,9,11,14],[2,3,8,9,11,12,13],[2,4,5,6,7,12,13],[2,4,6,7,8,11,14],[2,4,7,9,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,12,14],[3,4,5,9,10,13,14],[3,4,6,11,12,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,11,13],[3,5,6,8,10,12,14],[4,5,6,8,9,10,11]]; G[5095]:=Group([(1,14)(3,7)(4,8)(5,11)(6,9)]); # Design 5096: autom. group order 2, simple B[5096]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,12,14],[1,2,6,9,11,13,14],[1,3,5,7,12,13,14],[1,3,6,7,9,10,14],[1,4,5,8,12,13,14],[1,4,6,8,9,11,14],[1,4,7,9,11,12,13],[1,5,7,8,9,10,11],[1,6,7,8,10,12,13],[2,3,7,8,9,12,14],[2,3,8,9,11,12,13],[2,4,5,6,7,11,13],[2,4,6,7,8,12,14],[2,4,7,9,10,13,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,9,10,13,14],[3,4,6,10,11,12,14],[3,4,7,8,10,11,13],[3,5,6,7,9,11,12],[3,5,6,8,11,13,14],[4,5,6,8,9,10,12]]; G[5096]:=Group([(1,14)(3,7)(4,8)(5,12)(6,9)]); # Design 5097: autom. group order 2, simple B[5097]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,12,14],[1,2,6,9,11,13,14],[1,3,5,7,12,13,14],[1,3,6,7,9,10,14],[1,4,5,8,12,13,14],[1,4,6,8,9,11,14],[1,4,7,9,11,12,13],[1,5,7,8,9,10,13],[1,6,7,8,10,11,12],[2,3,7,8,9,12,14],[2,3,8,9,11,12,13],[2,4,5,6,7,11,13],[2,4,6,7,8,12,14],[2,4,7,9,10,13,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,9,10,11,14],[3,4,6,10,12,13,14],[3,4,7,8,10,11,13],[3,5,6,7,9,11,12],[3,5,6,8,11,13,14],[4,5,6,8,9,10,12]]; G[5097]:=Group([(1,14)(3,7)(4,8)(5,12)(6,9)]); # Design 5098: autom. group order 2, simple, residual B[5098]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,11,12,14],[1,3,6,7,9,10,14],[1,4,5,8,11,13,14],[1,4,6,8,9,12,14],[1,4,7,9,11,12,13],[1,5,7,8,9,10,12],[1,6,7,8,10,11,13],[2,3,7,8,9,11,14],[2,3,8,9,11,12,13],[2,4,5,6,7,12,13],[2,4,6,7,8,11,14],[2,4,7,9,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,12,14],[3,4,5,9,10,13,14],[3,4,6,10,11,12,14],[3,4,7,8,10,12,13],[3,5,6,7,9,11,13],[3,5,6,8,12,13,14],[4,5,6,8,9,10,11]]; G[5098]:=Group([(1,14)(3,7)(4,8)(5,11)(6,9)]); # Design 5099: autom. group order 2, simple, residual B[5099]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,11,12,14],[1,3,6,7,9,10,14],[1,4,5,8,11,13,14],[1,4,6,8,9,12,14],[1,4,7,9,11,12,13],[1,5,7,8,9,10,13],[1,6,7,8,10,11,12],[2,3,7,8,9,11,14],[2,3,8,9,11,12,13],[2,4,5,6,7,12,13],[2,4,6,7,8,11,14],[2,4,7,9,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,12,14],[3,4,5,9,10,12,14],[3,4,6,10,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,11,13],[3,5,6,8,12,13,14],[4,5,6,8,9,10,11]]; G[5099]:=Group([(1,14)(3,7)(4,8)(5,11)(6,9)]); # Design 5100: autom. group order 2, simple B[5100]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,12,14],[1,2,6,9,11,13,14],[1,3,5,7,12,13,14],[1,3,6,7,9,11,14],[1,4,5,8,12,13,14],[1,4,6,8,9,10,14],[1,4,7,9,10,12,13],[1,5,7,8,9,10,11],[1,6,7,8,11,12,13],[2,3,7,8,9,12,14],[2,3,8,9,11,12,13],[2,4,5,6,7,11,13],[2,4,6,7,8,12,14],[2,4,7,9,10,13,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,9,11,13,14],[3,4,6,10,11,12,14],[3,4,7,8,10,11,13],[3,5,6,7,9,10,12],[3,5,6,8,10,13,14],[4,5,6,8,9,11,12]]; G[5100]:=Group([(1,14)(3,7)(4,8)(5,12)(6,9)]); # Design 5101: autom. group order 2, simple, residual B[5101]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,11,13,14],[1,3,6,7,9,12,14],[1,4,5,8,11,12,14],[1,4,6,8,9,10,14],[1,4,7,9,10,11,12],[1,5,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,7,8,9,11,14],[2,3,8,9,11,12,13],[2,4,5,6,7,12,13],[2,4,6,7,8,11,14],[2,4,7,9,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,12,14],[3,4,5,9,12,13,14],[3,4,6,10,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,10,12,14],[4,5,6,8,9,11,13]]; G[5101]:=Group([(1,14)(3,7)(4,8)(5,11)(6,9)]); # Design 5102: autom. group order 2, simple B[5102]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,12,14],[1,2,6,9,11,13,14],[1,3,5,7,12,13,14],[1,3,6,7,9,11,14],[1,4,5,8,12,13,14],[1,4,6,8,9,10,14],[1,4,7,9,10,12,13],[1,5,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,7,8,9,12,14],[2,3,8,9,11,12,13],[2,4,5,6,7,11,13],[2,4,6,7,8,12,14],[2,4,7,9,10,13,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,9,10,11,14],[3,4,6,11,12,13,14],[3,4,7,8,10,11,13],[3,5,6,7,9,10,12],[3,5,6,8,10,13,14],[4,5,6,8,9,11,12]]; G[5102]:=Group([(1,14)(3,7)(4,8)(5,12)(6,9)]); # Design 5103: autom. group order 2, simple, residual B[5103]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,11,13,14],[1,3,6,7,9,12,14],[1,4,5,8,11,12,14],[1,4,6,8,9,10,14],[1,4,7,9,10,11,13],[1,5,7,8,9,12,13],[1,6,7,8,10,11,12],[2,3,7,8,9,11,14],[2,3,8,9,11,12,13],[2,4,5,6,7,12,13],[2,4,6,7,8,11,14],[2,4,7,9,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,12,14],[3,4,5,9,10,12,14],[3,4,6,11,12,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,10,13,14],[4,5,6,8,9,11,13]]; G[5103]:=Group([(1,14)(3,7)(4,8)(5,11)(6,9)]); # Design 5104: autom. group order 2, simple B[5104]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,12,14],[1,2,6,9,11,13,14],[1,3,5,7,12,13,14],[1,3,6,7,9,11,14],[1,4,5,8,12,13,14],[1,4,6,8,9,10,14],[1,4,7,9,11,12,13],[1,5,7,8,9,10,13],[1,6,7,8,10,11,12],[2,3,7,8,9,12,14],[2,3,8,9,11,12,13],[2,4,5,6,7,11,13],[2,4,6,7,8,12,14],[2,4,7,9,10,13,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,9,10,11,14],[3,4,6,10,12,13,14],[3,4,7,8,10,11,13],[3,5,6,7,9,10,12],[3,5,6,8,11,13,14],[4,5,6,8,9,11,12]]; G[5104]:=Group([(1,14)(3,7)(4,8)(5,12)(6,9)]); # Design 5105: autom. group order 2, simple, residual B[5105]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,11,13,14],[1,3,6,7,9,12,14],[1,4,5,8,11,12,14],[1,4,6,8,9,10,14],[1,4,7,9,11,12,13],[1,5,7,8,9,10,12],[1,6,7,8,10,11,13],[2,3,7,8,9,11,14],[2,3,8,9,11,12,13],[2,4,5,6,7,12,13],[2,4,6,7,8,11,14],[2,4,7,9,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,12,14],[3,4,5,9,10,13,14],[3,4,6,10,11,12,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,12,13,14],[4,5,6,8,9,11,13]]; G[5105]:=Group([(1,14)(3,7)(4,8)(5,11)(6,9)]); # Design 5106: autom. group order 2, simple, residual B[5106]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,11,13,14],[1,3,6,7,9,12,14],[1,4,5,8,11,12,14],[1,4,6,8,9,10,14],[1,4,7,9,11,12,13],[1,5,7,8,9,10,13],[1,6,7,8,10,11,12],[2,3,7,8,9,11,14],[2,3,8,9,11,12,13],[2,4,5,6,7,12,13],[2,4,6,7,8,11,14],[2,4,7,9,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,12,14],[3,4,5,9,10,12,14],[3,4,6,10,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,12,13,14],[4,5,6,8,9,11,13]]; G[5106]:=Group([(1,14)(3,7)(4,8)(5,11)(6,9)]); # Design 5107: autom. group order 2, simple, residual B[5107]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,11,12,13,14],[1,2,6,9,10,11,14],[1,3,5,7,10,12,14],[1,3,6,7,9,13,14],[1,4,5,8,12,13,14],[1,4,6,8,9,11,14],[1,4,7,9,10,11,12],[1,5,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,7,8,9,12,14],[2,3,8,9,11,12,13],[2,4,5,6,7,11,13],[2,4,6,7,8,12,14],[2,4,7,9,10,13,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,9,11,13,14],[3,4,6,10,12,13,14],[3,4,7,8,10,11,13],[3,5,6,7,9,11,12],[3,5,6,8,10,11,14],[4,5,6,8,9,10,12]]; G[5107]:=Group([(1,14)(3,7)(4,8)(5,12)(6,9)]); # Design 5108: autom. group order 2, simple B[5108]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,11,12,13,14],[1,2,6,9,10,13,14],[1,3,5,7,10,11,14],[1,3,6,7,9,12,14],[1,4,5,8,11,13,14],[1,4,6,8,9,12,14],[1,4,7,9,10,11,12],[1,5,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,7,8,9,11,14],[2,3,8,9,11,12,13],[2,4,5,6,7,12,13],[2,4,6,7,8,11,14],[2,4,7,9,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,12,14],[3,4,5,9,12,13,14],[3,4,6,10,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,11,13],[3,5,6,8,10,12,14],[4,5,6,8,9,10,11]]; G[5108]:=Group([(1,14)(3,7)(4,8)(5,11)(6,9)]); # Design 5109: autom. group order 2, simple B[5109]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,11,12,13,14],[1,2,6,9,10,13,14],[1,3,5,7,10,11,14],[1,3,6,7,9,12,14],[1,4,5,8,11,13,14],[1,4,6,8,9,12,14],[1,4,7,9,10,11,13],[1,5,7,8,9,10,12],[1,6,7,8,11,12,13],[2,3,7,8,9,11,14],[2,3,8,9,11,12,13],[2,4,5,6,7,12,13],[2,4,6,7,8,11,14],[2,4,7,9,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,12,14],[3,4,5,9,12,13,14],[3,4,6,10,11,12,14],[3,4,7,8,10,12,13],[3,5,6,7,9,11,13],[3,5,6,8,10,13,14],[4,5,6,8,9,10,11]]; G[5109]:=Group([(1,14)(3,7)(4,8)(5,11)(6,9)]); # Design 5110: autom. group order 2, simple, residual B[5110]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,11,12,13,14],[1,2,6,9,10,11,14],[1,3,5,7,10,12,14],[1,3,6,7,9,13,14],[1,4,5,8,12,13,14],[1,4,6,8,9,11,14],[1,4,7,9,10,11,12],[1,5,7,8,9,11,13],[1,6,7,8,10,12,13],[2,3,7,8,9,12,14],[2,3,8,9,11,12,13],[2,4,5,6,7,11,13],[2,4,6,7,8,12,14],[2,4,7,9,10,13,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,9,10,13,14],[3,4,6,11,12,13,14],[3,4,7,8,10,11,13],[3,5,6,7,9,11,12],[3,5,6,8,10,11,14],[4,5,6,8,9,10,12]]; G[5110]:=Group([(1,14)(3,7)(4,8)(5,12)(6,9)]); # Design 5111: autom. group order 2, simple B[5111]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,11,12,13,14],[1,2,6,9,10,13,14],[1,3,5,7,10,11,14],[1,3,6,7,9,12,14],[1,4,5,8,11,13,14],[1,4,6,8,9,12,14],[1,4,7,9,10,11,12],[1,5,7,8,9,12,13],[1,6,7,8,10,11,13],[2,3,7,8,9,11,14],[2,3,8,9,11,12,13],[2,4,5,6,7,12,13],[2,4,6,7,8,11,14],[2,4,7,9,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,12,14],[3,4,5,9,10,13,14],[3,4,6,11,12,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,11,13],[3,5,6,8,10,12,14],[4,5,6,8,9,10,11]]; G[5111]:=Group([(1,14)(3,7)(4,8)(5,11)(6,9)]); # Design 5112: autom. group order 2, simple, residual B[5112]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,11,12,13,14],[1,2,6,9,10,11,14],[1,3,5,7,10,12,14],[1,3,6,7,9,13,14],[1,4,5,8,12,13,14],[1,4,6,8,9,11,14],[1,4,7,9,11,12,13],[1,5,7,8,9,10,11],[1,6,7,8,10,12,13],[2,3,7,8,9,12,14],[2,3,8,9,11,12,13],[2,4,5,6,7,11,13],[2,4,6,7,8,12,14],[2,4,7,9,10,13,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,9,10,13,14],[3,4,6,10,11,12,14],[3,4,7,8,10,11,13],[3,5,6,7,9,11,12],[3,5,6,8,11,13,14],[4,5,6,8,9,10,12]]; G[5112]:=Group([(1,14)(3,7)(4,8)(5,12)(6,9)]); # Design 5113: autom. group order 2, simple, residual B[5113]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,11,12,13,14],[1,2,6,9,10,11,14],[1,3,5,7,10,12,14],[1,3,6,7,9,13,14],[1,4,5,8,12,13,14],[1,4,6,8,9,11,14],[1,4,7,9,11,12,13],[1,5,7,8,9,10,13],[1,6,7,8,10,11,12],[2,3,7,8,9,12,14],[2,3,8,9,11,12,13],[2,4,5,6,7,11,13],[2,4,6,7,8,12,14],[2,4,7,9,10,13,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,9,10,11,14],[3,4,6,10,12,13,14],[3,4,7,8,10,11,13],[3,5,6,7,9,11,12],[3,5,6,8,11,13,14],[4,5,6,8,9,10,12]]; G[5113]:=Group([(1,14)(3,7)(4,8)(5,12)(6,9)]); # Design 5114: autom. group order 2, simple B[5114]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,11,12,13,14],[1,2,6,9,10,13,14],[1,3,5,7,10,11,14],[1,3,6,7,9,12,14],[1,4,5,8,11,13,14],[1,4,6,8,9,12,14],[1,4,7,9,11,12,13],[1,5,7,8,9,10,13],[1,6,7,8,10,11,12],[2,3,7,8,9,11,14],[2,3,8,9,11,12,13],[2,4,5,6,7,12,13],[2,4,6,7,8,11,14],[2,4,7,9,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,12,14],[3,4,5,9,10,12,14],[3,4,6,10,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,11,13],[3,5,6,8,12,13,14],[4,5,6,8,9,10,11]]; G[5114]:=Group([(1,14)(3,7)(4,8)(5,11)(6,9)]); # Design 5115: autom. group order 2, simple, residual B[5115]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,11,12,13,14],[1,2,6,9,10,11,14],[1,3,5,7,12,13,14],[1,3,6,7,9,11,14],[1,4,5,8,10,12,14],[1,4,6,8,9,13,14],[1,4,7,9,10,11,12],[1,5,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,7,8,9,12,14],[2,3,8,9,11,12,13],[2,4,5,6,7,11,13],[2,4,6,7,8,12,14],[2,4,7,9,10,13,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,9,11,13,14],[3,4,6,10,12,13,14],[3,4,7,8,10,11,13],[3,5,6,7,9,10,12],[3,5,6,8,10,11,14],[4,5,6,8,9,11,12]]; G[5115]:=Group([(1,14)(3,7)(4,8)(5,12)(6,9)]); # Design 5116: autom. group order 2, simple B[5116]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,11,12,13,14],[1,2,6,9,10,13,14],[1,3,5,7,11,13,14],[1,3,6,7,9,12,14],[1,4,5,8,10,11,14],[1,4,6,8,9,12,14],[1,4,7,9,10,11,12],[1,5,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,7,8,9,11,14],[2,3,8,9,11,12,13],[2,4,5,6,7,12,13],[2,4,6,7,8,11,14],[2,4,7,9,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,12,14],[3,4,5,9,12,13,14],[3,4,6,10,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,10,12,14],[4,5,6,8,9,11,13]]; G[5116]:=Group([(1,14)(3,7)(4,8)(5,11)(6,9)]); # Design 5117: autom. group order 2, simple, residual B[5117]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,11,12,13,14],[1,2,6,9,10,11,14],[1,3,5,7,12,13,14],[1,3,6,7,9,11,14],[1,4,5,8,10,12,14],[1,4,6,8,9,13,14],[1,4,7,9,10,12,13],[1,5,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,7,8,9,12,14],[2,3,8,9,11,12,13],[2,4,5,6,7,11,13],[2,4,6,7,8,12,14],[2,4,7,9,10,13,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,9,10,11,14],[3,4,6,11,12,13,14],[3,4,7,8,10,11,13],[3,5,6,7,9,10,12],[3,5,6,8,10,13,14],[4,5,6,8,9,11,12]]; G[5117]:=Group([(1,14)(3,7)(4,8)(5,12)(6,9)]); # Design 5118: autom. group order 2, simple B[5118]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,11,12,13,14],[1,2,6,9,10,13,14],[1,3,5,7,11,13,14],[1,3,6,7,9,12,14],[1,4,5,8,10,11,14],[1,4,6,8,9,12,14],[1,4,7,9,10,11,13],[1,5,7,8,9,12,13],[1,6,7,8,10,11,12],[2,3,7,8,9,11,14],[2,3,8,9,11,12,13],[2,4,5,6,7,12,13],[2,4,6,7,8,11,14],[2,4,7,9,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,12,14],[3,4,5,9,10,12,14],[3,4,6,11,12,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,10,13,14],[4,5,6,8,9,11,13]]; G[5118]:=Group([(1,14)(3,7)(4,8)(5,11)(6,9)]); # Design 5119: autom. group order 2, simple, residual B[5119]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,11,12,13,14],[1,2,6,9,10,11,14],[1,3,5,7,12,13,14],[1,3,6,7,9,11,14],[1,4,5,8,10,12,14],[1,4,6,8,9,13,14],[1,4,7,9,11,12,13],[1,5,7,8,9,10,11],[1,6,7,8,10,12,13],[2,3,7,8,9,12,14],[2,3,8,9,11,12,13],[2,4,5,6,7,11,13],[2,4,6,7,8,12,14],[2,4,7,9,10,13,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,9,10,13,14],[3,4,6,10,11,12,14],[3,4,7,8,10,11,13],[3,5,6,7,9,10,12],[3,5,6,8,11,13,14],[4,5,6,8,9,11,12]]; G[5119]:=Group([(1,14)(3,7)(4,8)(5,12)(6,9)]); # Design 5120: autom. group order 2, simple, residual B[5120]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,11,12,13,14],[1,2,6,9,10,11,14],[1,3,5,7,12,13,14],[1,3,6,7,9,11,14],[1,4,5,8,10,12,14],[1,4,6,8,9,13,14],[1,4,7,9,11,12,13],[1,5,7,8,9,10,13],[1,6,7,8,10,11,12],[2,3,7,8,9,12,14],[2,3,8,9,11,12,13],[2,4,5,6,7,11,13],[2,4,6,7,8,12,14],[2,4,7,9,10,13,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,9,10,11,14],[3,4,6,10,12,13,14],[3,4,7,8,10,11,13],[3,5,6,7,9,10,12],[3,5,6,8,11,13,14],[4,5,6,8,9,11,12]]; G[5120]:=Group([(1,14)(3,7)(4,8)(5,12)(6,9)]); # Design 5121: autom. group order 2, simple B[5121]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,11,12,13,14],[1,2,6,9,10,13,14],[1,3,5,7,11,13,14],[1,3,6,7,9,12,14],[1,4,5,8,10,11,14],[1,4,6,8,9,12,14],[1,4,7,9,11,12,13],[1,5,7,8,9,10,13],[1,6,7,8,10,11,12],[2,3,7,8,9,11,14],[2,3,8,9,11,12,13],[2,4,5,6,7,12,13],[2,4,6,7,8,11,14],[2,4,7,9,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,12,14],[3,4,5,9,10,12,14],[3,4,6,10,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,12,13,14],[4,5,6,8,9,11,13]]; G[5121]:=Group([(1,14)(3,7)(4,8)(5,11)(6,9)]); # Design 5122: autom. group order 2, simple, residual B[5122]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,10,11,12,13],[1,2,6,8,9,11,13],[1,3,5,7,8,11,14],[1,3,6,8,9,12,14],[1,4,5,9,12,13,14],[1,4,6,7,9,11,13],[1,4,7,8,10,11,14],[1,5,7,8,10,12,13],[1,6,7,9,10,12,14],[2,3,7,8,9,12,13],[2,3,7,9,10,11,14],[2,4,5,6,7,12,14],[2,4,6,8,10,13,14],[2,4,7,8,9,10,12],[2,5,6,8,11,12,14],[2,5,7,9,11,13,14],[3,4,5,9,10,13,14],[3,4,6,7,11,12,13],[3,4,8,11,12,13,14],[3,5,6,7,8,10,13],[3,5,6,9,10,11,12],[4,5,6,8,9,10,11]]; G[5122]:=Group([(1,12)(2,11)(5,13)(9,14)]); # Design 5123: autom. group order 2, simple, residual B[5123]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,10,11,13,14],[1,2,6,8,9,11,13],[1,3,5,7,8,12,13],[1,3,6,8,9,12,14],[1,4,5,9,11,12,14],[1,4,6,7,9,11,13],[1,4,7,8,10,12,13],[1,5,7,8,10,11,14],[1,6,7,9,10,12,14],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,6,7,12,14],[2,4,6,8,10,11,12],[2,4,7,8,9,10,14],[2,5,6,8,12,13,14],[2,5,7,9,11,12,13],[3,4,5,9,10,13,14],[3,4,6,7,11,13,14],[3,4,8,11,12,13,14],[3,5,6,7,8,10,11],[3,5,6,9,10,11,12],[4,5,6,8,9,10,13]]; G[5123]:=Group([(1,14)(2,13)(5,11)(9,12)]); # Design 5124: autom. group order 2, simple, residual B[5124]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,10,11,12,13],[1,2,6,8,11,13,14],[1,3,5,7,8,11,14],[1,3,6,8,9,12,14],[1,4,5,9,12,13,14],[1,4,6,7,9,11,13],[1,4,7,8,9,10,11],[1,5,7,8,10,12,13],[1,6,7,9,10,12,14],[2,3,7,8,9,12,13],[2,3,7,9,10,11,14],[2,4,5,6,7,12,14],[2,4,6,8,9,10,13],[2,4,7,8,10,12,14],[2,5,6,8,9,11,12],[2,5,7,9,11,13,14],[3,4,5,9,10,13,14],[3,4,6,7,11,12,13],[3,4,8,11,12,13,14],[3,5,6,7,8,10,13],[3,5,6,9,10,11,12],[4,5,6,8,10,11,14]]; G[5124]:=Group([(1,12)(2,11)(5,13)(9,14)]); # Design 5125: autom. group order 2, simple, residual B[5125]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,10,11,13,14],[1,2,6,8,11,12,13],[1,3,5,7,8,12,13],[1,3,6,8,9,12,14],[1,4,5,9,11,12,14],[1,4,6,7,9,11,13],[1,4,7,8,9,10,13],[1,5,7,8,10,11,14],[1,6,7,9,10,12,14],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,6,7,12,14],[2,4,6,8,9,10,11],[2,4,7,8,10,12,14],[2,5,6,8,9,13,14],[2,5,7,9,11,12,13],[3,4,5,9,10,13,14],[3,4,6,7,11,13,14],[3,4,8,11,12,13,14],[3,5,6,7,8,10,11],[3,5,6,9,10,11,12],[4,5,6,8,10,12,13]]; G[5125]:=Group([(1,14)(2,13)(5,11)(9,12)]); # Design 5126: autom. group order 2, simple, residual B[5126]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,10,11,14],[1,2,6,8,9,13,14],[1,3,5,11,12,13,14],[1,3,6,9,10,12,14],[1,4,5,7,11,13,14],[1,4,6,8,9,11,12],[1,4,7,9,10,12,14],[1,5,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,7,8,9,11,14],[2,3,7,9,11,12,13],[2,4,5,6,12,13,14],[2,4,7,8,10,12,13],[2,4,9,10,11,13,14],[2,5,6,7,9,12,14],[2,5,6,8,10,11,12],[3,4,5,8,9,12,13],[3,4,6,7,8,11,14],[3,4,6,8,10,13,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,14],[4,5,6,7,9,10,11]]; G[5126]:=Group([(1,14)(2,8)(4,7)(5,11)]); # Design 5127: autom. group order 2, simple, residual B[5127]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,9,12,14],[1,3,5,10,11,13,14],[1,3,6,9,12,13,14],[1,4,5,7,11,12,14],[1,4,6,8,9,10,11],[1,4,7,9,10,12,14],[1,5,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,7,8,9,11,14],[2,3,7,9,11,12,13],[2,4,5,6,12,13,14],[2,4,7,8,10,12,13],[2,4,9,10,11,13,14],[2,5,6,7,9,10,14],[2,5,6,8,10,11,12],[3,4,5,8,9,12,13],[3,4,6,7,8,11,14],[3,4,6,8,10,13,14],[3,5,6,9,10,11,12],[3,5,7,8,10,12,14],[4,5,6,7,9,11,13]]; G[5127]:=Group([(1,14)(2,8)(4,7)(5,11)]); # Design 5128: autom. group order 2, simple, residual B[5128]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,10,11,14],[1,2,6,8,9,13,14],[1,3,5,11,12,13,14],[1,3,6,9,10,12,14],[1,4,5,7,11,13,14],[1,4,6,8,11,12,13],[1,4,7,9,10,12,14],[1,5,7,8,9,10,13],[1,6,7,8,9,11,12],[2,3,7,8,9,11,14],[2,3,7,9,11,12,13],[2,4,5,6,9,12,14],[2,4,7,8,10,12,13],[2,4,9,10,11,13,14],[2,5,6,7,12,13,14],[2,5,6,8,10,11,12],[3,4,5,8,9,12,13],[3,4,6,7,8,11,14],[3,4,6,8,10,13,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,14],[4,5,6,7,9,10,11]]; G[5128]:=Group([(1,14)(2,8)(4,7)(5,11)]); # Design 5129: autom. group order 2, simple, residual B[5129]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,12,13,14],[1,3,5,10,11,12,14],[1,3,6,9,12,13,14],[1,4,5,7,11,13,14],[1,4,6,8,9,10,11],[1,4,7,9,10,12,14],[1,5,7,8,9,10,13],[1,6,7,8,9,11,12],[2,3,7,8,9,11,14],[2,3,7,9,11,12,13],[2,4,5,6,9,12,14],[2,4,7,8,10,12,13],[2,4,9,10,11,13,14],[2,5,6,7,9,10,14],[2,5,6,8,10,11,12],[3,4,5,8,9,12,13],[3,4,6,7,8,11,14],[3,4,6,8,10,13,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,14],[4,5,6,7,11,12,13]]; G[5129]:=Group([(1,14)(2,8)(4,7)(5,11)]); # Design 5130: autom. group order 2, simple B[5130]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,9,12,14],[1,3,5,9,11,13,14],[1,3,6,8,11,12,13],[1,4,5,8,9,10,14],[1,4,6,8,11,12,14],[1,4,7,9,10,11,12],[1,5,7,10,12,13,14],[1,6,7,8,9,10,13],[2,3,7,8,9,12,14],[2,3,8,9,10,12,13],[2,4,5,6,12,13,14],[2,4,7,9,11,13,14],[2,4,8,10,11,13,14],[2,5,6,7,8,10,11],[2,5,6,9,10,11,12],[3,4,5,7,10,12,13],[3,4,6,7,8,10,14],[3,4,6,7,9,11,13],[3,5,6,9,10,11,14],[3,5,7,8,11,12,14],[4,5,6,8,9,12,13]]; G[5130]:=Group([(1,13)(3,14)(5,11)(6,10)(7,8)]); # Design 5131: autom. group order 2, simple B[5131]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,9,12,14],[1,3,5,9,11,13,14],[1,3,6,8,11,12,13],[1,4,5,8,10,12,14],[1,4,6,8,9,11,14],[1,4,7,9,10,11,12],[1,5,7,10,12,13,14],[1,6,7,8,9,10,13],[2,3,7,8,9,12,14],[2,3,8,9,10,12,13],[2,4,5,6,12,13,14],[2,4,7,9,11,13,14],[2,4,8,10,11,13,14],[2,5,6,7,8,10,11],[2,5,6,9,10,11,12],[3,4,5,7,9,10,13],[3,4,6,7,8,10,14],[3,4,6,7,11,12,13],[3,5,6,9,10,11,14],[3,5,7,8,11,12,14],[4,5,6,8,9,12,13]]; G[5131]:=Group([(1,13)(3,14)(5,11)(6,10)(7,8)]); # Design 5132: autom. group order 2, simple B[5132]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,9,12,14],[1,3,5,11,12,13,14],[1,3,6,8,9,11,13],[1,4,5,8,9,10,14],[1,4,6,8,11,12,14],[1,4,7,9,10,11,12],[1,5,7,9,10,13,14],[1,6,7,8,10,12,13],[2,3,7,8,9,12,14],[2,3,8,9,10,12,13],[2,4,5,6,12,13,14],[2,4,7,9,11,13,14],[2,4,8,10,11,13,14],[2,5,6,7,8,10,11],[2,5,6,9,10,11,12],[3,4,5,7,10,12,13],[3,4,6,7,8,10,14],[3,4,6,7,9,11,13],[3,5,6,9,10,11,14],[3,5,7,8,11,12,14],[4,5,6,8,9,12,13]]; G[5132]:=Group([(1,13)(3,14)(5,11)(6,10)(7,8)]); # Design 5133: autom. group order 2, simple B[5133]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,9,12,14],[1,3,5,11,12,13,14],[1,3,6,8,9,11,13],[1,4,5,8,10,12,14],[1,4,6,8,9,11,14],[1,4,7,9,10,11,12],[1,5,7,9,10,13,14],[1,6,7,8,10,12,13],[2,3,7,8,9,12,14],[2,3,8,9,10,12,13],[2,4,5,6,12,13,14],[2,4,7,9,11,13,14],[2,4,8,10,11,13,14],[2,5,6,7,8,10,11],[2,5,6,9,10,11,12],[3,4,5,7,9,10,13],[3,4,6,7,8,10,14],[3,4,6,7,11,12,13],[3,5,6,9,10,11,14],[3,5,7,8,11,12,14],[4,5,6,8,9,12,13]]; G[5133]:=Group([(1,13)(3,14)(5,11)(6,10)(7,8)]); # Design 5134: autom. group order 2, simple B[5134]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,7,9,12,14],[1,3,5,9,10,13,14],[1,3,6,11,12,13,14],[1,4,5,8,11,12,14],[1,4,6,8,9,10,14],[1,4,7,9,10,11,12],[1,5,7,8,10,12,13],[1,6,7,8,9,11,13],[2,3,7,8,9,12,14],[2,3,8,9,11,12,13],[2,4,5,6,12,13,14],[2,4,7,9,10,13,14],[2,4,8,10,11,13,14],[2,5,6,7,8,10,11],[2,5,6,9,10,11,12],[3,4,5,7,9,11,13],[3,4,6,7,8,11,14],[3,4,6,7,10,12,13],[3,5,6,9,10,11,14],[3,5,7,8,10,12,14],[4,5,6,8,9,12,13]]; G[5134]:=Group([(1,13)(3,14)(5,10)(6,11)(7,8)]); # Design 5135: autom. group order 2, simple B[5135]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,7,9,12,14],[1,3,5,10,12,13,14],[1,3,6,9,11,13,14],[1,4,5,8,11,12,14],[1,4,6,8,9,10,14],[1,4,7,9,10,11,12],[1,5,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,7,8,9,12,14],[2,3,8,9,11,12,13],[2,4,5,6,12,13,14],[2,4,7,9,10,13,14],[2,4,8,10,11,13,14],[2,5,6,7,8,10,11],[2,5,6,9,10,11,12],[3,4,5,7,9,11,13],[3,4,6,7,8,11,14],[3,4,6,7,10,12,13],[3,5,6,9,10,11,14],[3,5,7,8,10,12,14],[4,5,6,8,9,12,13]]; G[5135]:=Group([(1,13)(3,14)(5,10)(6,11)(7,8)]); # Design 5136: autom. group order 2, simple, residual B[5136]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,12,14],[1,2,6,9,10,11,14],[1,3,5,9,12,13,14],[1,3,6,7,11,13,14],[1,4,5,7,8,11,13],[1,4,6,8,10,12,14],[1,4,7,9,10,12,13],[1,5,8,9,10,11,14],[1,6,7,8,9,12,13],[2,3,7,8,9,12,14],[2,3,7,8,10,13,14],[2,4,5,6,12,13,14],[2,4,7,9,10,11,13],[2,4,8,11,12,13,14],[2,5,6,7,9,10,12],[2,5,6,8,9,11,13],[3,4,5,9,10,13,14],[3,4,6,7,9,11,14],[3,4,6,8,9,11,12],[3,5,6,10,11,12,13],[3,5,7,8,10,11,12],[4,5,6,7,8,10,14]]; G[5136]:=Group([(1,12)(2,11)(4,10)(6,8)(9,13)]); # Design 5137: autom. group order 2, simple, residual B[5137]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,12,14],[1,2,6,9,10,11,14],[1,3,5,9,12,13,14],[1,3,6,7,11,13,14],[1,4,5,8,11,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,12,13],[1,5,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,7,8,9,12,14],[2,3,7,8,10,13,14],[2,4,5,6,7,12,13],[2,4,7,9,10,11,13],[2,4,8,11,12,13,14],[2,5,6,8,9,11,13],[2,5,6,9,10,12,14],[3,4,5,9,10,13,14],[3,4,6,7,9,11,14],[3,4,6,8,9,11,12],[3,5,6,10,11,12,13],[3,5,7,8,10,11,12],[4,5,6,7,8,10,14]]; G[5137]:=Group([(1,12)(2,11)(4,10)(6,8)(9,13)]); # Design 5138: autom. group order 2, simple B[5138]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,9,11,14],[1,3,5,7,12,13,14],[1,3,6,9,11,12,13],[1,4,5,7,10,11,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,12],[1,5,8,9,10,13,14],[1,6,7,8,10,11,13],[2,3,7,8,9,10,13],[2,3,7,8,9,11,14],[2,4,5,6,8,13,14],[2,4,7,10,12,13,14],[2,4,9,11,12,13,14],[2,5,6,7,9,10,12],[2,5,6,8,10,11,12],[3,4,5,9,10,11,13],[3,4,6,7,8,12,13],[3,4,6,8,10,11,14],[3,5,6,9,10,12,14],[3,5,7,8,11,12,14],[4,5,6,7,9,11,13]]; G[5138]:=Group([(1,13)(3,14)(5,12)(6,10)(8,11)]); # Design 5139: autom. group order 2, simple B[5139]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,6,7,9,10,14],[1,3,5,7,11,13,14],[1,3,6,9,12,13,14],[1,4,5,9,10,12,14],[1,4,6,7,8,11,14],[1,4,7,8,9,11,12],[1,5,8,9,10,11,13],[1,6,7,8,10,12,13],[2,3,7,8,9,10,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,7,11,12,13,14],[2,4,9,10,11,13,14],[2,5,6,7,9,11,12],[2,5,6,8,10,11,12],[3,4,5,7,10,12,13],[3,4,6,8,9,11,13],[3,4,6,8,10,12,14],[3,5,6,9,11,12,14],[3,5,7,8,10,11,14],[4,5,6,7,9,10,13]]; G[5139]:=Group([(1,13)(3,14)(5,11)(6,12)(8,10)]); # Design 5140: autom. group order 2, simple B[5140]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,9,11,14],[1,3,5,7,12,13,14],[1,3,6,9,11,12,13],[1,4,5,9,10,11,14],[1,4,6,7,8,12,14],[1,4,7,8,9,10,12],[1,5,8,9,10,13,14],[1,6,7,8,10,11,13],[2,3,7,8,9,10,13],[2,3,7,8,9,11,14],[2,4,5,6,8,13,14],[2,4,7,10,12,13,14],[2,4,9,11,12,13,14],[2,5,6,7,9,10,12],[2,5,6,8,10,11,12],[3,4,5,7,10,11,13],[3,4,6,8,9,12,13],[3,4,6,8,10,11,14],[3,5,6,9,10,12,14],[3,5,7,8,11,12,14],[4,5,6,7,9,11,13]]; G[5140]:=Group([(1,13)(3,14)(5,12)(6,10)(8,11)]); # Design 5141: autom. group order 2, simple B[5141]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,6,7,9,10,14],[1,3,5,9,11,13,14],[1,3,6,7,12,13,14],[1,4,5,7,10,12,14],[1,4,6,8,9,11,14],[1,4,7,8,9,11,12],[1,5,7,8,10,11,13],[1,6,8,9,10,12,13],[2,3,7,8,9,10,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,7,11,12,13,14],[2,4,9,10,11,13,14],[2,5,6,7,9,11,12],[2,5,6,8,10,11,12],[3,4,5,9,10,12,13],[3,4,6,7,8,11,13],[3,4,6,8,10,12,14],[3,5,6,9,11,12,14],[3,5,7,8,10,11,14],[4,5,6,7,9,10,13]]; G[5141]:=Group([(1,13)(3,14)(5,11)(6,12)(8,10)]); # Design 5142: autom. group order 2, simple B[5142]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,9,11,14],[1,3,5,9,12,13,14],[1,3,6,7,11,12,13],[1,4,5,7,10,11,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,12],[1,5,7,8,10,13,14],[1,6,8,9,10,11,13],[2,3,7,8,9,10,13],[2,3,7,8,9,11,14],[2,4,5,6,8,13,14],[2,4,7,10,12,13,14],[2,4,9,11,12,13,14],[2,5,6,7,9,10,12],[2,5,6,8,10,11,12],[3,4,5,9,10,11,13],[3,4,6,7,8,12,13],[3,4,6,8,10,11,14],[3,5,6,9,10,12,14],[3,5,7,8,11,12,14],[4,5,6,7,9,11,13]]; G[5142]:=Group([(1,13)(3,14)(5,12)(6,10)(8,11)]); # Design 5143: autom. group order 2, simple B[5143]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,9,11,14],[1,3,5,9,12,13,14],[1,3,6,7,11,12,13],[1,4,5,9,10,11,14],[1,4,6,7,8,12,14],[1,4,7,8,9,10,12],[1,5,7,8,10,13,14],[1,6,8,9,10,11,13],[2,3,7,8,9,10,13],[2,3,7,8,9,11,14],[2,4,5,6,8,13,14],[2,4,7,10,12,13,14],[2,4,9,11,12,13,14],[2,5,6,7,9,10,12],[2,5,6,8,10,11,12],[3,4,5,7,10,11,13],[3,4,6,8,9,12,13],[3,4,6,8,10,11,14],[3,5,6,9,10,12,14],[3,5,7,8,11,12,14],[4,5,6,7,9,11,13]]; G[5143]:=Group([(1,13)(3,14)(5,12)(6,10)(8,11)]); # Design 5144: autom. group order 2, simple, residual B[5144]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,12,14],[1,2,6,10,11,13,14],[1,3,5,7,12,13,14],[1,3,6,7,9,11,14],[1,4,5,8,9,11,13],[1,4,6,8,10,12,14],[1,4,7,9,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,12,13],[2,3,7,8,9,10,14],[2,3,8,9,12,13,14],[2,4,5,6,12,13,14],[2,4,7,8,11,12,14],[2,4,7,9,10,11,13],[2,5,6,7,8,11,13],[2,5,6,7,9,10,12],[3,4,5,7,10,13,14],[3,4,6,7,8,11,12],[3,4,6,9,11,13,14],[3,5,6,9,10,11,12],[3,5,8,10,11,12,13],[4,5,6,8,9,10,14]]; G[5144]:=Group([(1,12)(2,11)(4,10)(6,8)(7,13)]); # Design 5145: autom. group order 2, simple, residual B[5145]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,12,14],[1,2,6,10,11,13,14],[1,3,5,7,12,13,14],[1,3,6,7,9,11,14],[1,4,5,8,11,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,12,13],[1,5,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,7,8,9,10,14],[2,3,8,9,12,13,14],[2,4,5,6,9,12,13],[2,4,7,8,11,12,14],[2,4,7,9,10,11,13],[2,5,6,7,8,11,13],[2,5,6,7,10,12,14],[3,4,5,7,10,13,14],[3,4,6,7,8,11,12],[3,4,6,9,11,13,14],[3,5,6,9,10,11,12],[3,5,8,10,11,12,13],[4,5,6,8,9,10,14]]; G[5145]:=Group([(1,12)(2,11)(4,10)(6,8)(7,13)]); # Design 5146: autom. group order 2, simple B[5146]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,6,7,8,10,14],[1,3,5,8,12,13,14],[1,3,6,9,11,12,14],[1,4,5,9,10,13,14],[1,4,7,8,9,11,12],[1,4,7,10,11,13,14],[1,5,6,8,9,10,12],[1,6,7,8,9,11,13],[2,3,7,8,9,10,14],[2,3,8,9,11,13,14],[2,4,5,6,9,11,14],[2,4,6,7,9,12,13],[2,4,6,8,12,13,14],[2,5,7,8,10,11,12],[2,5,9,10,11,12,13],[3,4,5,7,8,11,13],[3,4,6,8,10,12,13],[3,4,7,9,10,12,14],[3,5,6,7,9,10,13],[3,5,6,7,11,12,14],[4,5,6,8,10,11,14]]; G[5146]:=Group([(1,11)(3,10)(4,12)(6,13)(7,9)]); # Design 5147: autom. group order 2, simple B[5147]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,9,10,13,14],[1,3,5,7,9,12,13],[1,3,6,8,11,12,14],[1,4,5,8,11,13,14],[1,4,7,8,10,12,14],[1,4,7,9,11,12,13],[1,5,6,9,11,12,14],[1,6,7,8,9,10,13],[2,3,7,8,9,11,14],[2,3,8,9,12,13,14],[2,4,5,6,12,13,14],[2,4,6,7,8,12,13],[2,4,6,7,9,11,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,9,10,13,14],[3,4,6,8,9,10,12],[3,4,7,10,11,13,14],[3,5,6,7,8,11,13],[3,5,6,7,10,12,14],[4,5,6,8,9,10,11]]; G[5147]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 5148: autom. group order 2, simple B[5148]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,9,10,13,14],[1,3,5,7,12,13,14],[1,3,6,8,11,12,14],[1,4,5,8,9,11,13],[1,4,7,8,10,12,14],[1,4,7,9,11,12,13],[1,5,6,9,11,12,14],[1,6,7,8,9,10,13],[2,3,7,8,9,11,14],[2,3,8,9,12,13,14],[2,4,5,6,12,13,14],[2,4,6,7,8,12,13],[2,4,6,7,9,11,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,9,10,13,14],[3,4,6,8,9,10,12],[3,4,7,10,11,13,14],[3,5,6,7,8,11,13],[3,5,6,7,9,10,12],[4,5,6,8,10,11,14]]; G[5148]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 5149: autom. group order 2, simple B[5149]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,6,8,9,10,14],[1,3,5,8,12,13,14],[1,3,6,7,11,12,14],[1,4,5,7,9,10,13],[1,4,7,8,9,11,12],[1,4,8,10,11,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,11,13],[2,3,7,8,9,10,14],[2,3,7,9,11,13,14],[2,4,5,6,8,11,14],[2,4,6,7,8,12,13],[2,4,6,9,12,13,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,9,11,13,14],[3,4,6,9,10,12,13],[3,4,7,8,10,12,14],[3,5,6,7,8,10,13],[3,5,6,8,9,11,12],[4,5,6,7,10,11,14]]; G[5149]:=Group([(1,11)(3,10)(4,12)(6,13)(7,8)]); # Design 5150: autom. group order 2, simple B[5150]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,9,10,13,14],[1,3,5,8,12,13,14],[1,3,6,7,11,12,14],[1,4,5,9,11,13,14],[1,4,7,8,10,12,14],[1,4,7,9,11,12,13],[1,5,6,8,9,11,12],[1,6,7,8,9,10,13],[2,3,7,8,9,11,14],[2,3,7,9,12,13,14],[2,4,5,6,12,13,14],[2,4,6,7,8,12,13],[2,4,6,8,9,11,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,7,9,10,13],[3,4,6,8,9,10,12],[3,4,8,10,11,13,14],[3,5,6,7,8,11,13],[3,5,6,9,10,12,14],[4,5,6,7,10,11,14]]; G[5150]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 5151: autom. group order 2, simple B[5151]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,9,10,13,14],[1,3,5,9,12,13,14],[1,3,6,8,11,12,14],[1,4,5,7,11,13,14],[1,4,7,8,10,12,14],[1,4,8,9,11,12,13],[1,5,6,7,9,11,12],[1,6,7,8,9,10,13],[2,3,7,8,9,11,14],[2,3,7,9,12,13,14],[2,4,5,6,12,13,14],[2,4,6,7,8,12,13],[2,4,6,8,9,11,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,8,9,10,13],[3,4,6,7,9,10,12],[3,4,7,10,11,13,14],[3,5,6,7,8,11,13],[3,5,6,8,10,12,14],[4,5,6,9,10,11,14]]; G[5151]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 5152: autom. group order 2, simple, residual B[5152]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,13,14],[1,2,6,10,11,12,13],[1,3,5,7,10,11,14],[1,3,6,7,9,12,13],[1,4,5,8,9,11,13],[1,4,7,8,10,12,13],[1,4,7,9,11,12,14],[1,5,6,8,10,12,14],[1,6,7,8,9,11,14],[2,3,7,8,9,10,12],[2,3,8,9,11,12,14],[2,4,5,6,11,12,14],[2,4,6,7,8,11,13],[2,4,6,7,9,10,14],[2,5,7,8,12,13,14],[2,5,7,9,10,11,13],[3,4,5,7,12,13,14],[3,4,6,9,10,13,14],[3,4,8,10,11,13,14],[3,5,6,7,8,10,11],[3,5,6,9,11,12,13],[4,5,6,8,9,10,12]]; G[5152]:=Group([(1,14)(2,13)(5,10)(6,8)(7,11)]); # Design 5153: autom. group order 2, simple, residual B[5153]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,10,12,13,14],[1,3,5,7,11,13,14],[1,3,6,7,9,10,12],[1,4,5,8,9,10,14],[1,4,7,8,10,12,13],[1,4,7,9,11,12,14],[1,5,6,8,11,12,13],[1,6,7,8,9,11,14],[2,3,7,8,9,12,13],[2,3,8,9,11,12,14],[2,4,5,6,11,12,14],[2,4,6,7,8,10,14],[2,4,6,7,9,11,13],[2,5,7,8,10,11,12],[2,5,7,9,10,13,14],[3,4,5,7,12,13,14],[3,4,6,9,10,11,13],[3,4,8,10,11,13,14],[3,5,6,7,8,10,11],[3,5,6,9,10,12,14],[4,5,6,8,9,12,13]]; G[5153]:=Group([(1,11)(2,10)(5,13)(6,8)(7,14)]); # Design 5154: autom. group order 2, simple, residual B[5154]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,13,14],[1,2,6,10,11,12,13],[1,3,5,7,10,11,14],[1,3,6,7,9,12,13],[1,4,5,8,11,12,13],[1,4,7,8,9,10,13],[1,4,7,9,11,12,14],[1,5,6,8,10,12,14],[1,6,7,8,9,11,14],[2,3,7,8,9,10,12],[2,3,8,9,11,12,14],[2,4,5,6,9,11,14],[2,4,6,7,8,11,13],[2,4,6,7,10,12,14],[2,5,7,8,12,13,14],[2,5,7,9,10,11,13],[3,4,5,7,12,13,14],[3,4,6,9,10,13,14],[3,4,8,10,11,13,14],[3,5,6,7,8,10,11],[3,5,6,9,11,12,13],[4,5,6,8,9,10,12]]; G[5154]:=Group([(1,14)(2,13)(5,10)(6,8)(7,11)]); # Design 5155: autom. group order 2, simple, residual B[5155]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,10,12,13,14],[1,3,5,7,11,13,14],[1,3,6,7,9,10,12],[1,4,5,8,10,12,14],[1,4,7,8,9,10,13],[1,4,7,9,11,12,14],[1,5,6,8,11,12,13],[1,6,7,8,9,11,14],[2,3,7,8,9,12,13],[2,3,8,9,11,12,14],[2,4,5,6,9,11,14],[2,4,6,7,8,10,14],[2,4,6,7,11,12,13],[2,5,7,8,10,11,12],[2,5,7,9,10,13,14],[3,4,5,7,12,13,14],[3,4,6,9,10,11,13],[3,4,8,10,11,13,14],[3,5,6,7,8,10,11],[3,5,6,9,10,12,14],[4,5,6,8,9,12,13]]; G[5155]:=Group([(1,11)(2,10)(5,13)(6,8)(7,14)]); # Design 5156: autom. group order 2, simple B[5156]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,6,8,9,10,14],[1,3,5,7,9,12,13],[1,3,6,8,11,12,14],[1,4,5,9,10,13,14],[1,4,7,8,9,11,12],[1,4,7,10,11,13,14],[1,5,6,7,10,12,14],[1,6,7,8,9,11,13],[2,3,7,8,9,10,14],[2,3,7,9,11,13,14],[2,4,5,6,7,11,14],[2,4,6,7,8,12,13],[2,4,6,9,12,13,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,8,11,13,14],[3,4,6,9,10,12,13],[3,4,7,8,10,12,14],[3,5,6,7,8,10,13],[3,5,6,9,11,12,14],[4,5,6,8,9,10,11]]; G[5156]:=Group([(1,11)(3,10)(4,12)(6,13)(7,8)]); # Design 5157: autom. group order 2, simple B[5157]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,6,8,9,10,14],[1,3,5,7,12,13,14],[1,3,6,8,11,12,14],[1,4,5,9,10,13,14],[1,4,7,8,9,11,12],[1,4,7,10,11,13,14],[1,5,6,7,9,10,12],[1,6,7,8,9,11,13],[2,3,7,8,9,10,14],[2,3,7,9,11,13,14],[2,4,5,6,7,11,14],[2,4,6,7,8,12,13],[2,4,6,9,12,13,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,8,9,11,13],[3,4,6,9,10,12,13],[3,4,7,8,10,12,14],[3,5,6,7,8,10,13],[3,5,6,9,11,12,14],[4,5,6,8,10,11,14]]; G[5157]:=Group([(1,11)(3,10)(4,12)(6,13)(7,8)]); # Design 5158: autom. group order 2, simple, residual B[5158]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,10,11,13,14],[1,2,6,8,10,12,13],[1,3,5,8,11,12,14],[1,3,6,7,9,11,12],[1,4,5,8,9,12,13],[1,4,7,8,9,10,14],[1,4,7,10,12,13,14],[1,5,6,9,10,11,14],[1,6,7,8,9,11,13],[2,3,7,8,9,10,14],[2,3,8,9,10,11,13],[2,4,5,6,9,13,14],[2,4,6,8,11,12,14],[2,4,7,9,11,12,14],[2,5,6,7,8,10,12],[2,5,7,9,11,12,13],[3,4,5,7,10,11,13],[3,4,6,8,11,13,14],[3,4,6,9,10,12,13],[3,5,6,9,10,12,14],[3,5,7,8,12,13,14],[4,5,6,7,8,10,11]]; G[5158]:=Group([(1,11)(3,12)(5,14)(6,9)]); # Design 5159: autom. group order 2, simple, residual B[5159]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,10,11,14],[1,2,6,8,9,13,14],[1,3,5,11,12,13,14],[1,3,6,9,10,12,14],[1,4,5,7,11,13,14],[1,4,7,9,10,12,14],[1,4,8,9,10,11,13],[1,5,6,7,8,9,12],[1,6,7,8,11,12,13],[2,3,7,8,9,11,14],[2,3,7,9,11,12,13],[2,4,5,6,12,13,14],[2,4,6,9,11,12,14],[2,4,7,8,10,12,13],[2,5,6,8,10,11,12],[2,5,7,9,10,13,14],[3,4,5,8,9,12,13],[3,4,6,7,8,11,14],[3,4,6,8,10,13,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,14],[4,5,6,7,9,10,11]]; G[5159]:=Group([(1,14)(2,8)(4,7)(5,11)]); # Design 5160: autom. group order 2, simple, residual B[5160]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,9,12,14],[1,3,5,10,11,13,14],[1,3,6,9,12,13,14],[1,4,5,7,11,12,14],[1,4,7,9,10,12,14],[1,4,8,9,10,11,13],[1,5,6,7,8,9,10],[1,6,7,8,11,12,13],[2,3,7,8,9,11,14],[2,3,7,9,11,12,13],[2,4,5,6,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,8,10,11,12],[2,5,7,9,10,13,14],[3,4,5,8,9,12,13],[3,4,6,7,8,11,14],[3,4,6,8,10,13,14],[3,5,6,9,10,11,12],[3,5,7,8,10,12,14],[4,5,6,7,9,11,13]]; G[5160]:=Group([(1,14)(2,8)(4,7)(5,11)]); # Design 5161: autom. group order 2, simple, residual B[5161]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,10,11,14],[1,2,6,8,9,13,14],[1,3,5,11,12,13,14],[1,3,6,9,10,12,14],[1,4,5,7,11,13,14],[1,4,7,9,10,12,14],[1,4,8,9,10,11,13],[1,5,6,7,8,12,13],[1,6,7,8,9,11,12],[2,3,7,8,9,11,14],[2,3,7,9,11,12,13],[2,4,5,6,9,12,14],[2,4,6,11,12,13,14],[2,4,7,8,10,12,13],[2,5,6,8,10,11,12],[2,5,7,9,10,13,14],[3,4,5,8,9,12,13],[3,4,6,7,8,11,14],[3,4,6,8,10,13,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,14],[4,5,6,7,9,10,11]]; G[5161]:=Group([(1,14)(2,8)(4,7)(5,11)]); # Design 5162: autom. group order 2, simple, residual B[5162]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,9,12,14],[1,3,5,10,11,13,14],[1,3,6,9,12,13,14],[1,4,5,7,11,12,14],[1,4,7,9,10,12,14],[1,4,8,9,10,11,13],[1,5,6,7,8,12,13],[1,6,7,8,9,10,11],[2,3,7,8,9,11,14],[2,3,7,9,11,12,13],[2,4,5,6,9,10,14],[2,4,6,11,12,13,14],[2,4,7,8,10,12,13],[2,5,6,8,10,11,12],[2,5,7,9,10,13,14],[3,4,5,8,9,12,13],[3,4,6,7,8,11,14],[3,4,6,8,10,13,14],[3,5,6,9,10,11,12],[3,5,7,8,10,12,14],[4,5,6,7,9,11,13]]; G[5162]:=Group([(1,14)(2,8)(4,7)(5,11)]); # Design 5163: autom. group order 2, simple, residual B[5163]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,12,13,14],[1,3,5,10,11,12,14],[1,3,6,9,12,13,14],[1,4,5,7,11,13,14],[1,4,7,9,10,12,14],[1,4,8,9,10,11,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,7,8,9,11,14],[2,3,7,9,11,12,13],[2,4,5,6,9,12,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,8,10,11,12],[2,5,7,9,10,13,14],[3,4,5,8,9,12,13],[3,4,6,7,8,11,14],[3,4,6,8,10,13,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,14],[4,5,6,7,11,12,13]]; G[5163]:=Group([(1,14)(2,8)(4,7)(5,11)]); # Design 5164: autom. group order 2, simple, residual B[5164]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,12,13,14],[1,3,5,10,11,12,14],[1,3,6,9,12,13,14],[1,4,5,7,11,13,14],[1,4,7,9,10,12,14],[1,4,8,9,10,11,13],[1,5,6,7,8,9,12],[1,6,7,8,9,10,11],[2,3,7,8,9,11,14],[2,3,7,9,11,12,13],[2,4,5,6,9,10,14],[2,4,6,9,11,12,14],[2,4,7,8,10,12,13],[2,5,6,8,10,11,12],[2,5,7,9,10,13,14],[3,4,5,8,9,12,13],[3,4,6,7,8,11,14],[3,4,6,8,10,13,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,14],[4,5,6,7,11,12,13]]; G[5164]:=Group([(1,14)(2,8)(4,7)(5,11)]); # Design 5165: autom. group order 2, simple B[5165]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,9,12,13,14],[1,3,5,7,9,10,14],[1,3,6,7,11,12,14],[1,4,5,8,11,13,14],[1,4,7,8,10,12,13],[1,4,8,9,10,12,14],[1,5,6,9,11,12,13],[1,6,7,8,9,10,11],[2,3,7,9,10,12,13],[2,3,8,10,11,13,14],[2,4,5,6,10,12,14],[2,4,6,7,8,11,12],[2,4,7,9,11,13,14],[2,5,6,8,9,10,11],[2,5,7,8,9,12,14],[3,4,5,9,11,12,13],[3,4,6,7,8,9,13],[3,4,6,9,10,11,14],[3,5,6,8,10,12,13],[3,5,7,8,11,12,14],[4,5,6,7,10,13,14]]; G[5165]:=Group([(1,6)(2,9)(3,11)(4,10)(5,8)(12,14)]); # Design 5166: autom. group order 2, simple B[5166]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,9,10,13],[1,2,6,10,11,13,14],[1,3,5,9,11,12,14],[1,3,6,7,9,10,11],[1,4,5,7,12,13,14],[1,4,7,8,10,11,14],[1,4,8,9,10,12,13],[1,5,6,8,11,12,13],[1,6,7,8,9,12,14],[2,3,7,10,12,13,14],[2,3,8,9,11,12,13],[2,4,5,6,11,12,14],[2,4,6,7,9,12,13],[2,4,7,8,9,11,14],[2,5,6,8,9,10,14],[2,5,7,8,10,11,12],[3,4,5,8,10,13,14],[3,4,6,7,8,11,13],[3,4,6,9,10,12,14],[3,5,6,7,8,10,12],[3,5,7,9,11,13,14],[4,5,6,9,10,11,13]]; G[5166]:=Group([(1,7)(2,8)(3,11)(5,14)(6,10)(12,13)]); # Design 5167: autom. group order 2, simple, residual B[5167]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,13,14],[1,2,6,7,10,12,13],[1,3,5,7,11,12,14],[1,3,6,8,9,11,12],[1,4,5,7,9,12,13],[1,4,7,8,9,10,14],[1,4,8,10,12,13,14],[1,5,6,9,10,11,14],[1,6,7,8,9,11,13],[2,3,7,8,9,10,14],[2,3,7,9,10,11,13],[2,4,5,6,9,13,14],[2,4,6,8,11,12,14],[2,4,7,9,11,12,14],[2,5,6,7,8,10,12],[2,5,8,9,11,12,13],[3,4,5,8,10,11,13],[3,4,6,7,11,13,14],[3,4,6,9,10,12,13],[3,5,6,9,10,12,14],[3,5,7,8,12,13,14],[4,5,6,7,8,10,11]]; G[5167]:=Group([(1,11)(3,12)(5,14)(6,9)]); # Design 5168: autom. group order 2, simple, residual B[5168]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,7,8,12,14],[1,3,5,11,12,13,14],[1,3,6,9,11,12,14],[1,4,5,7,9,10,12],[1,4,7,8,12,13,14],[1,4,8,9,10,13,14],[1,5,6,7,9,11,13],[1,6,7,8,9,10,11],[2,3,7,8,9,11,14],[2,3,7,9,10,13,14],[2,4,5,6,9,13,14],[2,4,6,8,11,12,13],[2,4,7,9,11,12,13],[2,5,6,7,10,12,14],[2,5,8,9,10,11,12],[3,4,5,7,8,11,14],[3,4,6,7,10,11,13],[3,4,6,9,10,12,14],[3,5,6,8,9,12,13],[3,5,7,8,10,12,13],[4,5,6,8,10,11,14]]; G[5168]:=Group([(1,11)(3,12)(5,13)(6,9)]); # Design 5169: autom. group order 2, simple, residual B[5169]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,7,9,10,11],[1,3,5,10,12,13,14],[1,3,8,9,11,12,14],[1,4,5,6,11,12,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,7,9,10,12,13],[1,6,7,8,11,13,14],[2,3,6,8,9,12,13],[2,3,7,8,10,12,14],[2,4,5,8,11,13,14],[2,4,6,10,12,13,14],[2,4,7,9,11,12,14],[2,5,6,8,9,10,14],[2,5,7,9,11,12,13],[3,4,5,7,9,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,13],[3,5,6,7,8,11,12],[3,5,6,9,10,11,14],[4,5,6,7,8,10,12]]; G[5169]:=Group([(1,10)(2,11)(5,13)(7,9)]); # Design 5170: autom. group order 2, simple, residual B[5170]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,7,9,10,11],[1,3,5,10,12,13,14],[1,3,8,9,11,12,14],[1,4,5,6,11,12,14],[1,4,6,8,9,12,13],[1,4,7,8,11,13,14],[1,5,7,9,10,12,13],[1,6,7,8,9,10,14],[2,3,6,8,9,12,13],[2,3,7,8,10,12,14],[2,4,5,8,9,10,14],[2,4,6,10,12,13,14],[2,4,7,9,11,12,14],[2,5,6,8,11,13,14],[2,5,7,9,11,12,13],[3,4,5,7,9,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,13],[3,5,6,7,8,11,12],[3,5,6,9,10,11,14],[4,5,6,7,8,10,12]]; G[5170]:=Group([(1,10)(2,11)(5,13)(7,9)]); # Design 5171: autom. group order 2, simple B[5171]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,12,13],[1,3,5,10,11,12,14],[1,3,7,9,10,12,13],[1,4,5,6,9,10,14],[1,4,6,7,8,11,12],[1,4,7,8,11,13,14],[1,5,7,9,12,13,14],[1,6,8,9,10,11,14],[2,3,6,9,11,12,14],[2,3,7,8,9,11,14],[2,4,5,9,11,13,14],[2,4,6,10,12,13,14],[2,4,7,8,10,12,14],[2,5,6,7,10,11,13],[2,5,7,8,9,10,12],[3,4,5,8,12,13,14],[3,4,6,8,9,10,13],[3,4,7,9,10,11,13],[3,5,6,7,8,10,14],[3,5,6,8,11,12,13],[4,5,6,7,9,11,12]]; G[5171]:=Group([(1,12)(3,10)(5,14)(6,8)(9,13)]); # Design 5172: autom. group order 2, simple B[5172]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,12,13],[1,3,5,10,11,12,14],[1,3,7,8,10,13,14],[1,4,5,6,9,10,14],[1,4,6,7,8,11,12],[1,4,7,9,11,12,13],[1,5,7,9,12,13,14],[1,6,8,9,10,11,14],[2,3,6,9,11,12,14],[2,3,7,9,10,11,13],[2,4,5,9,11,13,14],[2,4,6,10,12,13,14],[2,4,7,8,10,12,14],[2,5,6,7,8,11,14],[2,5,7,8,9,10,12],[3,4,5,8,12,13,14],[3,4,6,8,9,10,13],[3,4,7,8,9,11,14],[3,5,6,7,9,10,12],[3,5,6,8,11,12,13],[4,5,6,7,10,11,13]]; G[5172]:=Group([(1,12)(3,10)(5,14)(6,8)(9,13)]); # Design 5173: autom. group order 2, simple, residual B[5173]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,12,13],[1,3,5,10,11,12,14],[1,3,7,8,10,13,14],[1,4,5,6,9,10,14],[1,4,6,7,8,11,12],[1,4,7,9,11,12,13],[1,5,7,9,12,13,14],[1,6,8,9,10,11,14],[2,3,6,9,11,12,14],[2,3,7,8,9,11,14],[2,4,5,9,11,13,14],[2,4,6,10,12,13,14],[2,4,7,8,10,12,14],[2,5,6,7,10,11,13],[2,5,7,8,9,10,12],[3,4,5,8,12,13,14],[3,4,6,8,9,10,13],[3,4,7,9,10,11,13],[3,5,6,7,9,10,12],[3,5,6,8,11,12,13],[4,5,6,7,8,11,14]]; G[5173]:=Group([(1,12)(3,10)(5,14)(6,8)(9,13)]); # Design 5174: autom. group order 2, simple, residual B[5174]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,10,11,13,14],[1,2,6,8,9,11,14],[1,3,5,11,12,13,14],[1,3,7,8,11,12,14],[1,4,5,6,9,12,14],[1,4,6,8,10,12,13],[1,4,7,9,10,13,14],[1,5,7,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,7,9,12,14],[2,3,8,9,10,13,14],[2,4,5,7,8,13,14],[2,4,6,8,11,12,13],[2,4,7,9,11,12,13],[2,5,6,8,10,12,14],[2,5,7,9,10,11,12],[3,4,5,8,9,10,11],[3,4,6,9,11,13,14],[3,4,7,8,10,12,14],[3,5,6,7,8,11,13],[3,5,6,9,10,12,13],[4,5,6,7,10,11,14]]; G[5174]:=Group([(1,11)(3,12)(5,13)(6,9)]); # Design 5175: autom. group order 2, simple, residual B[5175]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,10,11,13,14],[1,2,6,8,9,12,14],[1,3,5,11,12,13,14],[1,3,7,8,11,12,14],[1,4,5,6,9,12,14],[1,4,6,8,10,13,14],[1,4,7,9,10,12,13],[1,5,7,8,9,11,13],[1,6,7,8,9,10,11],[2,3,6,7,9,11,14],[2,3,8,9,10,13,14],[2,4,5,7,8,13,14],[2,4,6,8,11,12,13],[2,4,7,9,11,12,13],[2,5,6,8,10,11,12],[2,5,7,9,10,12,14],[3,4,5,8,9,10,11],[3,4,6,9,11,13,14],[3,4,7,8,10,12,14],[3,5,6,7,8,12,13],[3,5,6,9,10,12,13],[4,5,6,7,10,11,14]]; G[5175]:=Group([(1,11)(3,12)(5,13)(7,8)]); # Design 5176: autom. group order 2, simple, residual B[5176]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,10,11,13,14],[1,2,6,8,9,12,14],[1,3,5,11,12,13,14],[1,3,7,8,11,12,14],[1,4,5,6,9,12,14],[1,4,6,8,10,13,14],[1,4,7,8,9,10,11],[1,5,7,8,9,11,13],[1,6,7,9,10,12,13],[2,3,6,7,9,11,14],[2,3,8,9,10,13,14],[2,4,5,7,8,13,14],[2,4,6,8,11,12,13],[2,4,7,9,11,12,13],[2,5,6,8,10,11,12],[2,5,7,9,10,12,14],[3,4,5,9,10,12,13],[3,4,6,9,11,13,14],[3,4,7,8,10,12,14],[3,5,6,7,8,12,13],[3,5,6,8,9,10,11],[4,5,6,7,10,11,14]]; G[5176]:=Group([(1,11)(3,12)(5,13)(7,8)]); # Design 5177: autom. group order 2, simple, residual B[5177]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,10,11,13,14],[1,2,6,8,9,10,11],[1,3,5,8,10,12,13],[1,3,7,8,10,12,14],[1,4,5,6,9,12,14],[1,4,6,11,12,13,14],[1,4,7,8,9,11,13],[1,5,7,9,11,12,13],[1,6,7,8,9,10,14],[2,3,6,7,9,11,12],[2,3,8,9,11,13,14],[2,4,5,7,8,13,14],[2,4,6,8,10,12,13],[2,4,7,9,10,12,13],[2,5,6,8,11,12,14],[2,5,7,9,10,12,14],[3,4,5,9,10,11,14],[3,4,6,9,10,13,14],[3,4,7,8,11,12,14],[3,5,6,7,10,11,13],[3,5,6,8,9,12,13],[4,5,6,7,8,10,11]]; G[5177]:=Group([(1,10)(3,12)(5,13)(6,9)]); # Design 5178: autom. group order 2, simple, residual B[5178]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,10,11,13,14],[1,2,6,8,9,10,11],[1,3,5,8,10,12,13],[1,3,7,8,10,12,14],[1,4,5,6,9,13,14],[1,4,6,8,11,12,13],[1,4,7,9,11,12,13],[1,5,7,9,11,12,14],[1,6,7,8,9,10,14],[2,3,6,7,9,11,12],[2,3,8,9,11,13,14],[2,4,5,7,8,12,14],[2,4,6,10,12,13,14],[2,4,7,8,9,10,13],[2,5,6,8,11,12,14],[2,5,7,9,10,12,13],[3,4,5,9,10,11,14],[3,4,6,9,10,12,14],[3,4,7,8,11,13,14],[3,5,6,7,10,11,13],[3,5,6,8,9,12,13],[4,5,6,7,8,10,11]]; G[5178]:=Group([(2,11)(3,12)(5,13)(6,9)]); # Design 5179: autom. group order 2, simple, residual B[5179]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,13,14],[1,2,6,8,11,12,13],[1,3,5,9,10,11,14],[1,3,7,8,11,12,14],[1,4,5,6,9,11,13],[1,4,6,10,12,13,14],[1,4,7,9,10,12,13],[1,5,7,8,9,10,12],[1,6,7,8,9,11,14],[2,3,6,7,9,10,12],[2,3,9,10,11,13,14],[2,4,5,7,11,12,14],[2,4,6,8,9,10,14],[2,4,7,8,9,11,13],[2,5,6,8,10,11,12],[2,5,7,9,12,13,14],[3,4,5,8,12,13,14],[3,4,6,8,9,12,14],[3,4,7,8,10,11,13],[3,5,6,7,8,10,13],[3,5,6,9,11,12,13],[4,5,6,7,10,11,14]]; G[5179]:=Group([(2,10)(3,12)(5,13)(6,9)(8,14)]); # Design 5180: autom. group order 2, simple, residual B[5180]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,10,13,14],[1,2,6,8,9,11,14],[1,3,5,9,11,12,14],[1,3,7,8,11,12,13],[1,4,5,6,11,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,12,14],[1,5,7,9,10,11,13],[1,6,7,8,9,12,13],[2,3,6,7,9,12,14],[2,3,8,9,10,13,14],[2,4,5,7,12,13,14],[2,4,6,8,11,12,13],[2,4,7,9,11,13,14],[2,5,6,8,10,11,12],[2,5,7,9,10,11,12],[3,4,5,8,9,12,13],[3,4,6,9,10,11,13],[3,4,7,8,10,11,14],[3,5,6,7,8,11,14],[3,5,6,10,12,13,14],[4,5,6,7,8,9,10]]; G[5180]:=Group([(1,12)(3,11)(4,10)(7,8)]); # Design 5181: autom. group order 2, simple B[5181]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,10,13,14],[1,2,6,8,9,11,14],[1,3,5,11,12,13,14],[1,3,7,8,11,12,14],[1,4,5,6,9,11,14],[1,4,6,10,12,13,14],[1,4,7,8,9,10,12],[1,5,7,9,10,11,13],[1,6,7,8,9,12,13],[2,3,6,7,9,12,14],[2,3,8,9,10,13,14],[2,4,5,7,12,13,14],[2,4,6,8,11,12,13],[2,4,7,9,11,13,14],[2,5,6,8,10,11,12],[2,5,7,9,10,11,12],[3,4,5,8,9,12,13],[3,4,6,9,10,11,13],[3,4,7,8,10,11,14],[3,5,6,7,8,11,13],[3,5,6,9,10,12,14],[4,5,6,7,8,10,14]]; G[5181]:=Group([(1,12)(3,11)(4,10)(7,8)]); # Design 5182: autom. group order 2, simple, residual B[5182]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,10,13,14],[1,2,6,8,9,11,14],[1,3,5,9,11,12,13],[1,3,7,8,11,12,14],[1,4,5,6,11,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,12,14],[1,5,7,8,9,12,13],[1,6,7,9,10,11,13],[2,3,6,7,9,12,14],[2,3,8,9,10,13,14],[2,4,5,7,12,13,14],[2,4,6,8,11,12,13],[2,4,7,9,11,13,14],[2,5,6,8,10,11,12],[2,5,7,9,10,11,12],[3,4,5,9,10,11,14],[3,4,6,8,9,12,13],[3,4,7,8,10,11,13],[3,5,6,7,8,11,14],[3,5,6,10,12,13,14],[4,5,6,7,8,9,10]]; G[5182]:=Group([(1,12)(3,11)(4,10)(7,8)]); # Design 5183: autom. group order 2, simple B[5183]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,10,13,14],[1,2,6,8,9,11,14],[1,3,5,9,11,12,14],[1,3,7,8,11,12,13],[1,4,5,6,11,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,12,14],[1,5,7,8,9,12,13],[1,6,7,9,10,11,13],[2,3,6,7,9,12,14],[2,3,8,9,10,13,14],[2,4,5,7,12,13,14],[2,4,6,8,11,12,13],[2,4,7,9,11,13,14],[2,5,6,8,10,11,12],[2,5,7,9,10,11,12],[3,4,5,9,10,11,13],[3,4,6,8,9,12,13],[3,4,7,8,10,11,14],[3,5,6,7,8,11,14],[3,5,6,10,12,13,14],[4,5,6,7,8,9,10]]; G[5183]:=Group([(1,12)(3,11)(4,10)(7,8)]); # Design 5184: autom. group order 2, simple, residual B[5184]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,10,13,14],[1,2,6,8,9,11,14],[1,3,5,11,12,13,14],[1,3,7,8,11,12,14],[1,4,5,6,9,11,14],[1,4,6,10,12,13,14],[1,4,7,8,9,10,12],[1,5,7,8,9,12,13],[1,6,7,9,10,11,13],[2,3,6,7,9,12,14],[2,3,8,9,10,13,14],[2,4,5,7,12,13,14],[2,4,6,8,11,12,13],[2,4,7,9,11,13,14],[2,5,6,8,10,11,12],[2,5,7,9,10,11,12],[3,4,5,9,10,11,13],[3,4,6,8,9,12,13],[3,4,7,8,10,11,14],[3,5,6,7,8,11,13],[3,5,6,9,10,12,14],[4,5,6,7,8,10,14]]; G[5184]:=Group([(1,12)(3,11)(4,10)(7,8)]); # Design 5185: autom. group order 2, simple, residual B[5185]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,13],[1,2,6,8,11,12,14],[1,3,5,9,10,11,14],[1,3,7,8,12,13,14],[1,4,5,6,11,13,14],[1,4,6,9,10,12,14],[1,4,7,9,11,12,13],[1,5,7,8,10,12,13],[1,6,7,8,9,10,11],[2,3,6,7,9,10,12],[2,3,8,9,11,13,14],[2,4,5,10,12,13,14],[2,4,6,8,9,12,13],[2,4,7,8,10,11,14],[2,5,6,7,10,11,13],[2,5,7,9,11,12,14],[3,4,5,7,8,11,12],[3,4,6,8,10,11,13],[3,4,7,9,10,13,14],[3,5,6,8,10,12,14],[3,5,6,9,11,12,13],[4,5,6,7,8,9,14]]; G[5185]:=Group([(2,13)(3,7)(4,12)(5,8)(6,14)(9,10)]); # Design 5186: autom. group order 2, simple B[5186]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,10,11,13,14],[1,2,6,8,10,12,13],[1,3,5,9,10,12,14],[1,3,7,8,9,11,13],[1,4,5,6,11,12,13],[1,4,6,8,9,12,14],[1,4,7,8,9,10,13],[1,5,7,8,10,11,14],[1,6,7,9,11,12,14],[2,3,6,8,9,10,11],[2,3,7,8,11,12,14],[2,4,5,7,8,12,14],[2,4,6,9,10,11,14],[2,4,7,9,11,12,13],[2,5,6,8,9,13,14],[2,5,7,9,10,12,13],[3,4,5,9,11,13,14],[3,4,6,7,10,13,14],[3,4,8,10,12,13,14],[3,5,6,7,9,10,12],[3,5,6,8,11,12,13],[4,5,6,7,8,10,11]]; G[5186]:=Group([(1,14)(2,13)(5,10)(9,12)]); # Design 5187: autom. group order 2, simple B[5187]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,13,14],[1,2,6,10,11,12,13],[1,3,5,9,10,11,14],[1,3,7,8,9,12,13],[1,4,5,6,8,11,13],[1,4,6,9,11,12,14],[1,4,7,9,10,12,13],[1,5,7,8,10,12,14],[1,6,7,8,9,11,14],[2,3,6,8,9,10,12],[2,3,7,8,11,12,14],[2,4,5,7,11,12,14],[2,4,6,8,9,10,14],[2,4,7,8,9,11,13],[2,5,6,9,12,13,14],[2,5,7,9,10,11,13],[3,4,5,9,12,13,14],[3,4,6,7,10,13,14],[3,4,8,10,11,13,14],[3,5,6,7,9,10,11],[3,5,6,8,11,12,13],[4,5,6,7,8,10,12]]; G[5187]:=Group([(1,14)(2,13)(5,10)(9,11)]); # Design 5188: autom. group order 2, simple, residual B[5188]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,12,13],[1,3,5,10,11,12,14],[1,3,8,9,10,13,14],[1,4,5,6,8,12,14],[1,4,6,7,10,11,13],[1,4,7,9,10,13,14],[1,5,7,9,11,12,14],[1,6,7,8,9,11,12],[2,3,6,11,12,13,14],[2,3,7,8,9,11,14],[2,4,5,9,11,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,11],[2,5,7,8,10,12,13],[3,4,5,7,9,12,13],[3,4,6,8,9,10,11],[3,4,7,8,11,12,13],[3,5,6,7,8,10,14],[3,5,6,9,10,12,13],[4,5,6,8,11,13,14]]; G[5188]:=Group([(1,12)(3,10)(5,14)(6,8)]); # Design 5189: autom. group order 2, simple B[5189]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,6,7,8,10,14],[1,3,5,9,11,13,14],[1,3,7,8,11,13,14],[1,4,5,6,9,12,14],[1,4,6,7,8,12,13],[1,4,8,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,9,10,12,14],[2,4,5,8,10,11,14],[2,4,6,9,11,13,14],[2,4,7,9,11,12,13],[2,5,6,8,11,12,14],[2,5,7,8,9,10,13],[3,4,5,8,10,12,13],[3,4,6,7,9,10,14],[3,4,7,8,11,12,14],[3,5,6,7,8,9,11],[3,5,6,10,12,13,14],[4,5,6,7,10,11,13]]; G[5189]:=Group([(2,10)(3,11)(4,12)(5,9)(7,8)]); # Design 5190: autom. group order 2, simple B[5190]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,6,7,8,10,14],[1,3,5,9,11,13,14],[1,3,7,8,11,13,14],[1,4,5,6,9,12,14],[1,4,6,7,8,12,13],[1,4,8,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,9,12,14],[2,3,7,9,10,12,14],[2,4,5,8,10,11,14],[2,4,6,9,11,13,14],[2,4,7,9,11,12,13],[2,5,6,8,11,12,13],[2,5,7,8,9,10,13],[3,4,5,8,10,12,13],[3,4,6,7,9,10,13],[3,4,7,8,11,12,14],[3,5,6,7,8,9,11],[3,5,6,10,12,13,14],[4,5,6,7,10,11,14]]; G[5190]:=Group([(2,10)(3,11)(4,12)(5,9)(7,8)]); # Design 5191: autom. group order 2, simple B[5191]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,13],[1,2,6,7,9,11,13],[1,3,5,8,11,12,14],[1,3,7,9,11,12,13],[1,4,5,6,9,12,14],[1,4,6,7,10,12,14],[1,4,8,10,11,13,14],[1,5,8,9,10,12,13],[1,6,7,8,9,11,14],[2,3,6,8,12,13,14],[2,3,7,8,9,12,14],[2,4,5,9,11,13,14],[2,4,6,8,11,12,13],[2,4,7,8,9,10,14],[2,5,6,9,10,11,12],[2,5,7,10,11,12,14],[3,4,5,7,11,13,14],[3,4,6,8,9,10,11],[3,4,7,9,10,12,13],[3,5,6,7,8,10,11],[3,5,6,9,10,13,14],[4,5,6,7,8,12,13]]; G[5191]:=Group([(1,11)(3,12)(4,10)(7,9)(8,14)]); # Design 5192: autom. group order 2, simple, residual B[5192]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,13],[1,2,6,7,11,13,14],[1,3,5,8,11,12,14],[1,3,7,9,11,12,13],[1,4,5,6,9,11,14],[1,4,6,7,9,10,12],[1,4,8,10,12,13,14],[1,5,8,9,10,11,13],[1,6,7,8,9,12,14],[2,3,6,8,9,12,13],[2,3,7,8,9,11,14],[2,4,5,9,12,13,14],[2,4,6,8,11,12,13],[2,4,7,8,9,10,14],[2,5,6,9,10,11,12],[2,5,7,10,11,12,14],[3,4,5,7,12,13,14],[3,4,6,8,10,11,14],[3,4,7,9,10,11,13],[3,5,6,7,8,10,12],[3,5,6,9,10,13,14],[4,5,6,7,8,11,13]]; G[5192]:=Group([(1,12)(3,11)(4,10)(7,9)(8,14)]); # Design 5193: autom. group order 2, simple B[5193]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,7,9,12,14],[1,3,5,9,10,13,14],[1,3,7,8,12,13,14],[1,4,5,6,11,12,13],[1,4,6,7,9,10,14],[1,4,8,9,11,13,14],[1,5,8,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,9,11,12,13],[2,3,7,8,10,11,14],[2,4,5,8,10,12,14],[2,4,6,8,9,11,14],[2,4,7,9,10,12,13],[2,5,6,8,12,13,14],[2,5,7,9,10,11,13],[3,4,5,7,11,12,14],[3,4,6,10,11,13,14],[3,4,7,8,9,12,13],[3,5,6,7,8,9,11],[3,5,6,9,10,12,14],[4,5,6,7,8,10,13]]; G[5193]:=Group([(2,12)(3,11)(4,10)(5,8)]); # Design 5194: autom. group order 2, simple, residual B[5194]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,7,9,12,14],[1,3,5,9,10,13,14],[1,3,7,8,12,13,14],[1,4,5,6,11,12,13],[1,4,6,7,9,10,14],[1,4,8,9,11,13,14],[1,5,8,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,9,11,12,13],[2,3,7,8,10,11,14],[2,4,5,8,10,12,14],[2,4,6,8,11,13,14],[2,4,7,9,10,12,13],[2,5,6,8,9,12,14],[2,5,7,9,10,11,13],[3,4,5,7,11,12,14],[3,4,6,9,10,11,14],[3,4,7,8,9,12,13],[3,5,6,7,8,9,11],[3,5,6,10,12,13,14],[4,5,6,7,8,10,13]]; G[5194]:=Group([(2,12)(3,11)(4,10)(5,8)]); # Design 5195: autom. group order 2, simple, residual B[5195]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,6,7,9,11,14],[1,3,5,9,11,12,13],[1,3,7,8,11,12,14],[1,4,5,6,11,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,12,14],[1,5,7,8,9,12,13],[1,6,8,9,10,11,13],[2,3,6,8,9,12,14],[2,3,7,9,10,13,14],[2,4,5,8,12,13,14],[2,4,6,7,11,12,13],[2,4,8,9,11,13,14],[2,5,6,8,10,11,12],[2,5,7,9,10,11,12],[3,4,5,9,10,11,14],[3,4,6,7,9,12,13],[3,4,7,8,10,11,13],[3,5,6,7,8,11,14],[3,5,6,10,12,13,14],[4,5,6,7,8,9,10]]; G[5195]:=Group([(1,12)(3,11)(4,10)(7,8)]); # Design 5196: autom. group order 2, simple B[5196]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,6,7,9,11,14],[1,3,5,9,11,12,14],[1,3,7,8,11,12,13],[1,4,5,6,11,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,12,14],[1,5,7,8,9,12,13],[1,6,8,9,10,11,13],[2,3,6,8,9,12,14],[2,3,7,9,10,13,14],[2,4,5,8,12,13,14],[2,4,6,7,11,12,13],[2,4,8,9,11,13,14],[2,5,6,8,10,11,12],[2,5,7,9,10,11,12],[3,4,5,9,10,11,13],[3,4,6,7,9,12,13],[3,4,7,8,10,11,14],[3,5,6,7,8,11,14],[3,5,6,10,12,13,14],[4,5,6,7,8,9,10]]; G[5196]:=Group([(1,12)(3,11)(4,10)(7,8)]); # Design 5197: autom. group order 2, simple, residual B[5197]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,6,7,9,11,14],[1,3,5,11,12,13,14],[1,3,7,8,11,12,14],[1,4,5,6,9,11,14],[1,4,6,10,12,13,14],[1,4,7,8,9,10,12],[1,5,7,8,9,12,13],[1,6,8,9,10,11,13],[2,3,6,8,9,12,14],[2,3,7,9,10,13,14],[2,4,5,8,12,13,14],[2,4,6,7,11,12,13],[2,4,8,9,11,13,14],[2,5,6,8,10,11,12],[2,5,7,9,10,11,12],[3,4,5,9,10,11,13],[3,4,6,7,9,12,13],[3,4,7,8,10,11,14],[3,5,6,7,8,11,13],[3,5,6,9,10,12,14],[4,5,6,7,8,10,14]]; G[5197]:=Group([(1,12)(3,11)(4,10)(7,8)]); # Design 5198: autom. group order 2, simple, residual B[5198]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,6,7,8,10,14],[1,3,5,8,9,11,14],[1,3,7,8,11,13,14],[1,4,5,6,9,12,13],[1,4,6,8,12,13,14],[1,4,7,8,9,10,13],[1,5,9,10,11,12,14],[1,6,7,9,10,11,12],[2,3,6,7,9,12,14],[2,3,8,9,10,12,13],[2,4,5,10,11,13,14],[2,4,6,9,11,13,14],[2,4,7,8,9,11,12],[2,5,6,8,9,10,14],[2,5,7,8,11,12,13],[3,4,5,7,10,12,14],[3,4,6,8,11,12,14],[3,4,7,9,10,13,14],[3,5,6,7,9,11,13],[3,5,6,8,10,12,13],[4,5,6,7,8,10,11]]; G[5198]:=Group([(2,10)(3,11)(4,12)(5,9)(8,14)]); # Design 5199: autom. group order 2, simple, residual B[5199]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,6,7,9,11,14],[1,3,5,9,11,12,14],[1,3,7,8,11,12,13],[1,4,5,6,11,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,12,14],[1,5,8,9,10,11,13],[1,6,7,8,9,12,13],[2,3,6,8,9,12,14],[2,3,7,9,10,13,14],[2,4,5,8,12,13,14],[2,4,6,7,11,12,13],[2,4,8,9,11,13,14],[2,5,6,8,10,11,12],[2,5,7,9,10,11,12],[3,4,5,7,9,12,13],[3,4,6,9,10,11,13],[3,4,7,8,10,11,14],[3,5,6,7,8,11,14],[3,5,6,10,12,13,14],[4,5,6,7,8,9,10]]; G[5199]:=Group([(1,12)(3,11)(4,10)(7,8)]); # Design 5200: autom. group order 2, simple, residual B[5200]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,6,7,9,11,14],[1,3,5,11,12,13,14],[1,3,7,8,11,12,14],[1,4,5,6,9,11,14],[1,4,6,9,10,12,13],[1,4,7,8,10,12,14],[1,5,8,9,10,11,13],[1,6,7,8,9,12,13],[2,3,6,8,9,12,14],[2,3,7,9,10,13,14],[2,4,5,8,12,13,14],[2,4,6,7,11,12,13],[2,4,8,9,11,13,14],[2,5,6,8,10,11,12],[2,5,7,9,10,11,12],[3,4,5,7,9,12,13],[3,4,6,10,11,13,14],[3,4,7,8,9,10,11],[3,5,6,7,8,11,13],[3,5,6,9,10,12,14],[4,5,6,7,8,10,14]]; G[5200]:=Group([(1,12)(3,11)(4,10)(7,8)]); # Design 5201: autom. group order 2, simple B[5201]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,6,7,9,11,14],[1,3,5,11,12,13,14],[1,3,7,8,11,12,14],[1,4,5,6,9,11,14],[1,4,6,10,12,13,14],[1,4,7,8,9,10,12],[1,5,8,9,10,11,13],[1,6,7,8,9,12,13],[2,3,6,8,9,12,14],[2,3,7,9,10,13,14],[2,4,5,8,12,13,14],[2,4,6,7,11,12,13],[2,4,8,9,11,13,14],[2,5,6,8,10,11,12],[2,5,7,9,10,11,12],[3,4,5,7,9,12,13],[3,4,6,9,10,11,13],[3,4,7,8,10,11,14],[3,5,6,7,8,11,13],[3,5,6,9,10,12,14],[4,5,6,7,8,10,14]]; G[5201]:=Group([(1,12)(3,11)(4,10)(7,8)]); # Design 5202: autom. group order 2, simple B[5202]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,13],[1,2,6,7,9,11,13],[1,3,5,8,11,12,14],[1,3,7,9,11,12,13],[1,4,5,6,9,12,14],[1,4,6,8,10,11,14],[1,4,7,10,12,13,14],[1,5,8,9,10,12,13],[1,6,7,8,9,11,14],[2,3,6,8,12,13,14],[2,3,7,8,9,12,14],[2,4,5,9,11,13,14],[2,4,6,8,11,12,13],[2,4,7,8,9,10,14],[2,5,6,9,10,11,12],[2,5,7,10,11,12,14],[3,4,5,7,11,13,14],[3,4,6,7,9,10,12],[3,4,8,9,10,11,13],[3,5,6,7,8,10,11],[3,5,6,9,10,13,14],[4,5,6,7,8,12,13]]; G[5202]:=Group([(1,11)(3,12)(4,10)(7,9)(8,14)]); # Design 5203: autom. group order 2, simple, residual B[5203]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,6,7,8,10,14],[1,3,5,8,9,11,14],[1,3,7,8,11,13,14],[1,4,5,6,9,12,13],[1,4,6,8,12,13,14],[1,4,7,8,9,10,13],[1,5,9,10,11,12,14],[1,6,7,9,10,11,12],[2,3,6,9,12,13,14],[2,3,8,9,10,12,13],[2,4,5,10,11,13,14],[2,4,6,7,9,11,14],[2,4,7,8,9,11,12],[2,5,6,8,9,10,14],[2,5,7,8,11,12,13],[3,4,5,7,10,12,14],[3,4,6,8,11,12,14],[3,4,7,9,10,13,14],[3,5,6,7,8,10,12],[3,5,6,7,9,11,13],[4,5,6,8,10,11,13]]; G[5203]:=Group([(2,10)(3,11)(4,12)(5,9)(8,14)]); # Design 5204: autom. group order 2, simple B[5204]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,9,12,13],[1,3,5,9,10,12,14],[1,3,7,8,11,13,14],[1,4,5,6,11,12,14],[1,4,6,8,9,10,13],[1,4,8,9,12,13,14],[1,5,7,9,10,11,14],[1,6,7,8,10,11,12],[2,3,6,8,11,12,14],[2,3,7,8,9,10,12],[2,4,5,7,12,13,14],[2,4,6,8,9,11,14],[2,4,7,9,10,11,14],[2,5,6,9,10,11,13],[2,5,8,10,12,13,14],[3,4,5,8,10,11,13],[3,4,6,7,10,13,14],[3,4,7,9,11,12,13],[3,5,6,7,8,9,14],[3,5,6,9,11,12,13],[4,5,6,7,8,10,12]]; G[5204]:=Group([(1,8)(2,10)(3,12)(4,7)(5,6)(9,11)]); # Design 5205: autom. group order 2, simple, residual B[5205]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,13],[1,2,6,7,8,11,14],[1,3,5,9,11,12,13],[1,3,7,8,11,12,14],[1,4,5,6,12,13,14],[1,4,6,9,10,11,13],[1,4,8,9,10,12,14],[1,5,7,9,11,13,14],[1,6,7,8,9,10,12],[2,3,6,8,9,12,13],[2,3,7,9,12,13,14],[2,4,5,8,9,11,14],[2,4,6,7,9,11,12],[2,4,7,9,10,13,14],[2,5,6,10,11,12,14],[2,5,8,10,11,12,13],[3,4,5,7,10,12,14],[3,4,6,8,11,13,14],[3,4,7,8,10,11,13],[3,5,6,7,9,10,11],[3,5,6,8,9,10,14],[4,5,6,7,8,12,13]]; G[5205]:=Group([(1,11)(3,12)(4,10)(7,14)(9,13)]); # Design 5206: autom. group order 2, simple, residual B[5206]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,8,12,14],[1,3,5,9,10,12,13],[1,3,7,8,10,11,14],[1,4,5,6,12,13,14],[1,4,6,9,10,11,14],[1,4,8,9,11,12,13],[1,5,7,9,11,13,14],[1,6,7,8,9,10,12],[2,3,6,8,9,11,13],[2,3,7,9,12,13,14],[2,4,5,8,9,10,14],[2,4,6,7,9,11,12],[2,4,7,9,10,13,14],[2,5,6,10,11,12,13],[2,5,8,10,11,12,14],[3,4,5,7,11,12,14],[3,4,6,8,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,9,12,14],[4,5,6,7,8,10,13]]; G[5206]:=Group([(1,11)(3,12)(4,10)(7,13)(9,14)]); # Design 5207: autom. group order 2, simple, residual B[5207]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,7,8,12,13],[1,3,5,8,9,11,14],[1,3,7,8,10,12,14],[1,4,5,6,9,10,13],[1,4,6,8,11,12,13],[1,4,9,11,12,13,14],[1,5,7,9,10,11,12],[1,6,7,8,9,10,14],[2,3,6,9,10,11,12],[2,3,7,8,9,11,13],[2,4,5,8,10,12,14],[2,4,6,7,9,11,14],[2,4,8,9,10,13,14],[2,5,6,8,11,12,14],[2,5,7,9,10,12,13],[3,4,5,7,12,13,14],[3,4,6,7,9,12,14],[3,4,7,8,10,11,13],[3,5,6,8,9,12,13],[3,5,6,10,11,13,14],[4,5,6,7,8,10,11]]; G[5207]:=Group([(2,11)(3,12)(5,13)(6,9)(7,14)]); # Design 5208: autom. group order 2, simple, residual B[5208]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,7,8,12,13],[1,3,5,8,9,11,14],[1,3,7,8,10,12,14],[1,4,5,6,9,10,13],[1,4,6,8,11,12,13],[1,4,9,11,12,13,14],[1,5,7,9,10,11,12],[1,6,7,8,9,10,14],[2,3,6,8,9,11,12],[2,3,7,9,10,11,13],[2,4,5,8,10,12,14],[2,4,6,7,9,11,14],[2,4,8,9,10,13,14],[2,5,6,10,11,12,14],[2,5,7,8,9,12,13],[3,4,5,7,12,13,14],[3,4,6,7,9,12,14],[3,4,7,8,10,11,13],[3,5,6,8,11,13,14],[3,5,6,9,10,12,13],[4,5,6,7,8,10,11]]; G[5208]:=Group([(2,11)(3,12)(5,13)(6,9)(7,14)]); # Design 5209: autom. group order 2, simple, residual B[5209]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,6,7,11,12,13],[1,3,5,9,10,11,14],[1,3,7,8,11,12,14],[1,4,5,6,9,11,13],[1,4,6,8,10,12,13],[1,4,9,10,12,13,14],[1,5,7,8,9,10,12],[1,6,7,8,9,11,14],[2,3,6,8,9,10,12],[2,3,7,9,10,11,13],[2,4,5,8,11,12,14],[2,4,6,7,9,10,14],[2,4,8,9,11,13,14],[2,5,6,10,11,12,14],[2,5,7,8,9,12,13],[3,4,5,7,12,13,14],[3,4,6,7,9,12,14],[3,4,7,8,10,11,13],[3,5,6,8,10,13,14],[3,5,6,9,11,12,13],[4,5,6,7,8,10,11]]; G[5209]:=Group([(2,10)(3,12)(5,13)(6,9)(7,14)]); # Design 5210: autom. group order 2, simple, residual B[5210]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,10,13,14],[1,2,6,7,8,12,14],[1,3,5,9,12,13,14],[1,3,8,9,11,13,14],[1,4,5,6,9,11,14],[1,4,6,7,9,12,13],[1,4,7,8,10,13,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,12,13,14],[2,3,7,9,10,11,14],[2,4,5,8,11,12,13],[2,4,6,8,9,10,13],[2,4,7,9,11,12,14],[2,5,6,9,10,12,14],[2,5,7,8,9,11,13],[3,4,5,8,10,12,14],[3,4,6,7,8,11,14],[3,4,7,9,10,12,13],[3,5,6,7,8,9,10],[3,5,6,7,11,12,13],[4,5,6,10,11,13,14]]; G[5210]:=Group([(2,11)(3,10)(4,12)(5,8)(7,9)]); # Design 5211: autom. group order 2, simple, residual B[5211]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,10,13,14],[1,2,6,7,8,12,14],[1,3,5,9,12,13,14],[1,3,8,9,11,13,14],[1,4,5,6,9,11,14],[1,4,6,7,9,12,13],[1,4,7,8,10,13,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,12,13,14],[2,3,7,9,10,11,14],[2,4,5,8,11,12,13],[2,4,6,8,9,10,14],[2,4,7,9,11,12,14],[2,5,6,9,10,12,13],[2,5,7,8,9,11,13],[3,4,5,8,10,12,14],[3,4,6,7,8,11,13],[3,4,7,9,10,12,13],[3,5,6,7,8,9,10],[3,5,6,7,11,12,14],[4,5,6,10,11,13,14]]; G[5211]:=Group([(2,11)(3,10)(4,12)(5,8)(7,9)]); # Design 5212: autom. group order 2, simple, residual B[5212]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,10,13,14],[1,2,6,7,8,11,14],[1,3,5,8,12,13,14],[1,3,8,9,11,13,14],[1,4,5,6,9,12,13],[1,4,6,7,8,12,14],[1,4,7,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,9,12,13,14],[2,3,7,9,10,12,14],[2,4,5,9,11,12,14],[2,4,6,8,9,10,13],[2,4,7,8,11,12,13],[2,5,6,8,10,12,14],[2,5,7,8,9,11,13],[3,4,5,8,10,11,14],[3,4,6,7,9,11,14],[3,4,7,8,10,12,13],[3,5,6,7,8,9,10],[3,5,6,7,11,12,13],[4,5,6,10,11,13,14]]; G[5212]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 5213: autom. group order 2, simple, residual B[5213]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,10,13,14],[1,2,6,7,8,11,14],[1,3,5,8,12,13,14],[1,3,8,9,11,13,14],[1,4,5,6,9,12,13],[1,4,6,7,8,12,14],[1,4,7,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,9,12,13,14],[2,3,7,9,10,12,14],[2,4,5,9,11,12,14],[2,4,6,8,9,10,14],[2,4,7,8,11,12,13],[2,5,6,8,10,12,13],[2,5,7,8,9,11,13],[3,4,5,8,10,11,14],[3,4,6,7,9,11,13],[3,4,7,8,10,12,13],[3,5,6,7,8,9,10],[3,5,6,7,11,12,14],[4,5,6,10,11,13,14]]; G[5213]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 5214: autom. group order 2, simple, residual B[5214]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,10,13,14],[1,2,6,7,8,11,14],[1,3,5,8,12,13,14],[1,3,8,9,11,13,14],[1,4,5,6,9,12,14],[1,4,6,7,8,12,13],[1,4,7,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,9,12,13,14],[2,3,7,9,10,12,14],[2,4,5,9,11,12,13],[2,4,6,8,9,10,13],[2,4,7,8,11,12,14],[2,5,6,8,10,12,14],[2,5,7,8,9,11,13],[3,4,5,8,10,11,14],[3,4,6,7,9,11,14],[3,4,7,8,10,12,13],[3,5,6,7,8,9,10],[3,5,6,7,11,12,13],[4,5,6,10,11,13,14]]; G[5214]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 5215: autom. group order 2, simple, residual B[5215]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,10,13,14],[1,2,6,7,8,11,14],[1,3,5,8,12,13,14],[1,3,8,9,11,13,14],[1,4,5,6,9,12,14],[1,4,6,7,8,12,13],[1,4,7,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,9,12,13,14],[2,3,7,9,10,12,14],[2,4,5,9,11,12,13],[2,4,6,8,9,10,14],[2,4,7,8,11,12,14],[2,5,6,8,10,12,13],[2,5,7,8,9,11,13],[3,4,5,8,10,11,14],[3,4,6,7,9,11,13],[3,4,7,8,10,12,13],[3,5,6,7,8,9,10],[3,5,6,7,11,12,14],[4,5,6,10,11,13,14]]; G[5215]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 5216: autom. group order 2, simple, residual B[5216]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,7,9,12,14],[1,3,5,9,10,13,14],[1,3,8,9,12,13,14],[1,4,5,6,11,12,13],[1,4,6,7,9,10,14],[1,4,7,8,11,13,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,6,11,12,13,14],[2,3,7,8,10,11,14],[2,4,5,8,10,12,14],[2,4,6,8,9,11,13],[2,4,7,9,10,12,13],[2,5,6,9,10,11,14],[2,5,7,8,9,12,13],[3,4,5,9,11,12,14],[3,4,6,7,8,12,14],[3,4,7,9,10,11,13],[3,5,6,7,8,9,11],[3,5,6,7,10,12,13],[4,5,6,8,10,13,14]]; G[5216]:=Group([(2,12)(3,11)(4,10)(5,8)(7,9)]); # Design 5217: autom. group order 2, simple, residual B[5217]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,7,9,12,14],[1,3,5,9,10,13,14],[1,3,8,9,12,13,14],[1,4,5,6,11,12,13],[1,4,6,7,9,10,14],[1,4,7,8,11,13,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,6,11,12,13,14],[2,3,7,8,10,11,14],[2,4,5,8,10,12,14],[2,4,6,8,9,11,14],[2,4,7,9,10,12,13],[2,5,6,9,10,11,13],[2,5,7,8,9,12,13],[3,4,5,9,11,12,14],[3,4,6,7,8,12,13],[3,4,7,9,10,11,13],[3,5,6,7,8,9,11],[3,5,6,7,10,12,14],[4,5,6,8,10,13,14]]; G[5217]:=Group([(2,12)(3,11)(4,10)(5,8)(7,9)]); # Design 5218: autom. group order 2, simple B[5218]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,9,10,13],[1,2,6,7,11,12,14],[1,3,5,10,11,12,13],[1,3,8,9,10,13,14],[1,4,5,6,9,11,14],[1,4,6,7,8,12,13],[1,4,9,11,12,13,14],[1,5,7,8,10,11,14],[1,6,7,8,9,10,12],[2,3,6,9,10,12,14],[2,3,7,8,9,11,12],[2,4,5,8,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,11,13],[2,5,6,8,10,11,14],[2,5,7,9,12,13,14],[3,4,5,7,10,12,14],[3,4,6,7,10,13,14],[3,4,7,8,9,11,14],[3,5,6,7,9,11,13],[3,5,6,8,11,12,13],[4,5,6,8,9,10,12]]; G[5218]:=Group([(1,10)(3,11)(5,13)(7,9)]); # Design 5219: autom. group order 2, simple B[5219]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,8,12,14],[1,3,5,9,10,12,13],[1,3,8,9,11,12,14],[1,4,5,6,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,10,11,13],[1,5,7,9,11,13,14],[1,6,7,8,9,10,12],[2,3,6,8,9,11,13],[2,3,7,9,12,13,14],[2,4,5,8,9,10,14],[2,4,6,7,9,11,12],[2,4,7,9,10,13,14],[2,5,6,10,11,12,13],[2,5,8,10,11,12,14],[3,4,5,7,11,12,14],[3,4,6,8,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,8,10,14],[3,5,6,7,9,10,11],[4,5,6,8,9,12,13]]; G[5219]:=Group([(1,11)(3,12)(4,10)(7,13)(9,14)]); # Design 5220: autom. group order 2, simple, residual B[5220]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,10,13,14],[1,3,7,8,9,12,14],[1,4,5,6,9,11,12],[1,4,6,9,10,13,14],[1,4,7,8,9,11,14],[1,5,8,10,11,12,13],[1,6,7,8,10,11,12],[2,3,6,7,11,12,14],[2,3,8,9,10,11,14],[2,4,5,8,10,12,14],[2,4,6,7,8,11,13],[2,4,7,9,10,12,13],[2,5,6,9,10,11,14],[2,5,7,8,9,12,13],[3,4,5,11,12,13,14],[3,4,6,8,12,13,14],[3,4,7,9,10,11,13],[3,5,6,7,9,10,12],[3,5,6,8,9,11,13],[4,5,6,7,8,10,14]]; G[5220]:=Group([(2,12)(3,11)(4,10)(5,8)(9,13)]); # Design 5221: autom. group order 2, simple, residual B[5221]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,8,11,13,14],[1,3,5,7,12,13,14],[1,3,7,8,9,11,14],[1,4,5,6,9,12,13],[1,4,6,8,12,13,14],[1,4,7,9,10,13,14],[1,5,8,9,10,11,12],[1,6,7,9,10,11,12],[2,3,6,7,9,12,14],[2,3,9,10,12,13,14],[2,4,5,9,11,12,14],[2,4,6,8,9,10,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,13],[2,5,7,8,10,12,13],[3,4,5,10,11,13,14],[3,4,6,7,8,10,12],[3,4,7,8,9,11,13],[3,5,6,8,9,10,13],[3,5,6,8,11,12,14],[4,5,6,7,10,11,14]]; G[5221]:=Group([(2,11)(3,10)(4,12)(5,9)]); # Design 5222: autom. group order 2, simple, residual B[5222]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,10,13,14],[1,3,7,8,9,12,14],[1,4,5,6,9,11,12],[1,4,6,9,10,13,14],[1,4,7,8,9,11,14],[1,5,8,10,11,12,13],[1,6,7,8,10,11,12],[2,3,6,7,11,12,14],[2,3,8,9,10,11,14],[2,4,5,8,10,12,14],[2,4,6,8,11,13,14],[2,4,7,9,10,12,13],[2,5,6,7,9,10,11],[2,5,7,8,9,12,13],[3,4,5,11,12,13,14],[3,4,6,7,8,12,13],[3,4,7,9,10,11,13],[3,5,6,8,9,11,13],[3,5,6,9,10,12,14],[4,5,6,7,8,10,14]]; G[5222]:=Group([(2,12)(3,11)(4,10)(5,8)(9,13)]); # Design 5223: autom. group order 2, simple B[5223]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,9,11,14],[1,2,6,9,12,13,14],[1,3,5,7,10,13,14],[1,3,7,8,9,12,14],[1,4,5,6,11,12,13],[1,4,6,9,10,13,14],[1,4,7,8,11,13,14],[1,5,8,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,7,11,12,14],[2,3,8,10,11,13,14],[2,4,5,8,10,12,14],[2,4,6,8,9,11,14],[2,4,7,9,10,12,13],[2,5,6,7,8,12,13],[2,5,7,9,10,11,13],[3,4,5,11,12,13,14],[3,4,6,7,9,10,11],[3,4,7,8,9,12,13],[3,5,6,8,9,11,13],[3,5,6,9,10,12,14],[4,5,6,7,8,10,14]]; G[5223]:=Group([(2,12)(3,11)(4,10)(5,8)]); # Design 5224: autom. group order 2, simple, residual B[5224]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,9,11,14],[1,2,6,9,12,13,14],[1,3,5,7,10,13,14],[1,3,7,8,9,12,14],[1,4,5,6,11,12,13],[1,4,6,9,10,13,14],[1,4,7,8,11,13,14],[1,5,8,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,9,11,12,14],[2,3,8,10,11,13,14],[2,4,5,8,10,12,14],[2,4,6,7,8,11,14],[2,4,7,9,10,12,13],[2,5,6,7,8,12,13],[2,5,7,9,10,11,13],[3,4,5,11,12,13,14],[3,4,6,7,9,10,11],[3,4,7,8,9,12,13],[3,5,6,7,10,12,14],[3,5,6,8,9,11,13],[4,5,6,8,9,10,14]]; G[5224]:=Group([(2,12)(3,11)(4,10)(5,8)]); # Design 5225: autom. group order 2, simple, residual B[5225]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,13],[1,2,6,8,9,11,14],[1,3,5,7,11,12,14],[1,3,8,9,10,12,14],[1,4,5,6,11,13,14],[1,4,6,9,10,12,13],[1,4,7,8,11,12,13],[1,5,7,9,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,12,13],[2,3,7,9,11,13,14],[2,4,5,8,9,12,14],[2,4,6,7,9,11,12],[2,4,7,9,10,13,14],[2,5,6,10,11,12,14],[2,5,8,10,11,12,13],[3,4,5,9,10,11,13],[3,4,6,8,12,13,14],[3,4,7,8,10,11,14],[3,5,6,7,9,10,12],[3,5,6,8,9,11,13],[4,5,6,7,8,10,14]]; G[5225]:=Group([(1,12)(3,11)(4,10)(7,14)(9,13)]); # Design 5226: autom. group order 2, simple, residual B[5226]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,12,13],[1,3,5,7,10,12,14],[1,3,8,9,10,11,13],[1,4,5,6,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,11,12,14],[1,5,7,9,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,8,11,14],[2,3,7,9,12,13,14],[2,4,5,8,9,10,14],[2,4,6,7,9,11,12],[2,4,7,9,10,13,14],[2,5,6,10,11,12,13],[2,5,8,10,11,12,14],[3,4,5,9,11,12,13],[3,4,6,8,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,9,12,14],[4,5,6,7,8,10,13]]; G[5226]:=Group([(1,11)(3,12)(4,10)(7,13)(9,14)]); # Design 5227: autom. group order 2, simple B[5227]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,12,13],[1,3,5,7,10,12,14],[1,3,8,9,11,12,14],[1,4,5,6,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,10,11,13],[1,5,7,9,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,8,11,14],[2,3,7,9,12,13,14],[2,4,5,8,9,10,14],[2,4,6,7,9,11,12],[2,4,7,9,10,13,14],[2,5,6,10,11,12,13],[2,5,8,10,11,12,14],[3,4,5,9,11,12,13],[3,4,6,8,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,9,10,13],[4,5,6,7,8,12,14]]; G[5227]:=Group([(1,11)(3,12)(4,10)(7,13)(9,14)]); # Design 5228: autom. group order 2, simple, residual B[5228]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,9,10,14],[1,2,6,9,11,13,14],[1,3,5,7,11,12,13],[1,3,8,9,11,12,14],[1,4,5,6,11,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,12,13],[2,3,6,7,9,12,14],[2,3,7,8,11,13,14],[2,4,5,9,12,13,14],[2,4,6,7,8,11,12],[2,4,7,8,10,13,14],[2,5,6,10,11,12,13],[2,5,8,9,10,11,12],[3,4,5,8,12,13,14],[3,4,6,9,10,11,14],[3,4,7,9,10,11,13],[3,5,6,7,10,12,14],[3,5,6,8,9,10,13],[4,5,6,7,8,9,11]]; G[5228]:=Group([(1,12)(3,11)(4,10)(7,13)]); # Design 5229: autom. group order 2, simple, residual B[5229]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,9,12,13],[1,3,5,7,10,12,13],[1,3,8,9,11,13,14],[1,4,5,6,8,12,14],[1,4,6,9,10,11,13],[1,4,7,9,11,12,14],[1,5,7,8,9,10,14],[1,6,7,8,10,11,12],[2,3,6,8,11,12,14],[2,3,7,9,10,12,14],[2,4,5,8,10,11,14],[2,4,6,7,9,13,14],[2,4,7,8,10,11,13],[2,5,6,7,9,11,12],[2,5,8,9,10,12,13],[3,4,5,9,11,12,13],[3,4,6,7,8,9,10],[3,4,7,8,12,13,14],[3,5,6,7,8,11,13],[3,5,6,9,10,11,14],[4,5,6,10,12,13,14]]; G[5229]:=Group([(1,10)(2,4)(3,11)(5,8)(6,13)(9,14)]); # Design 5230: autom. group order 2, simple, residual B[5230]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,6,9,11,13,14],[1,3,5,9,12,13,14],[1,3,7,9,10,11,12],[1,4,5,6,7,12,14],[1,4,6,8,10,11,14],[1,4,7,8,11,12,13],[1,5,8,9,10,11,14],[1,6,7,8,9,12,13],[2,3,6,7,9,11,14],[2,3,7,8,11,12,14],[2,4,5,9,11,12,13],[2,4,6,8,9,12,14],[2,4,7,8,9,10,13],[2,5,6,10,11,12,13],[2,5,7,8,10,12,14],[3,4,5,8,11,13,14],[3,4,6,10,12,13,14],[3,4,7,9,10,13,14],[3,5,6,7,8,11,13],[3,5,6,8,9,10,12],[4,5,6,7,9,10,11]]; G[5230]:=Group([(1,13)(2,14)(5,10)(6,9)(8,12)]); # Design 5231: autom. group order 2, simple B[5231]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,6,9,10,11,13],[1,3,5,9,10,12,13],[1,3,7,8,9,11,14],[1,4,5,6,7,12,14],[1,4,6,9,10,11,14],[1,4,7,8,10,11,12],[1,5,8,11,12,13,14],[1,6,7,8,9,12,13],[2,3,6,7,11,12,13],[2,3,7,9,11,12,14],[2,4,5,8,11,12,13],[2,4,6,8,9,12,14],[2,4,7,8,9,10,13],[2,5,6,8,10,11,14],[2,5,7,9,10,12,14],[3,4,5,9,11,13,14],[3,4,6,10,12,13,14],[3,4,7,8,10,13,14],[3,5,6,7,8,10,11],[3,5,6,8,9,10,12],[4,5,6,7,9,11,13]]; G[5231]:=Group([(1,13)(2,14)(5,10)(6,8)(9,12)]); # Design 5232: autom. group order 2, simple, residual B[5232]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,9,10,12,13],[1,3,5,9,10,13,14],[1,3,7,8,9,11,12],[1,4,5,6,7,11,14],[1,4,6,9,11,12,13],[1,4,7,8,12,13,14],[1,5,8,10,11,12,14],[1,6,7,8,9,10,14],[2,3,6,7,10,12,14],[2,3,7,9,11,12,14],[2,4,5,8,10,12,14],[2,4,6,8,9,11,14],[2,4,7,8,9,10,13],[2,5,6,8,11,12,13],[2,5,7,9,11,13,14],[3,4,5,9,12,13,14],[3,4,6,10,11,13,14],[3,4,7,8,10,11,13],[3,5,6,7,8,12,13],[3,5,6,8,9,10,11],[4,5,6,7,9,10,12]]; G[5232]:=Group([(1,10)(2,11)(5,13)(6,8)(9,14)]); # Design 5233: autom. group order 2, simple B[5233]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,9,10,13],[1,2,6,9,11,12,14],[1,3,5,10,11,12,13],[1,3,7,8,10,13,14],[1,4,5,6,7,11,14],[1,4,6,8,9,12,13],[1,4,7,11,12,13,14],[1,5,8,9,10,11,14],[1,6,7,8,9,10,12],[2,3,6,7,10,12,14],[2,3,7,8,9,11,12],[2,4,5,8,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,11,13],[2,5,6,8,10,11,14],[2,5,7,9,12,13,14],[3,4,5,9,10,12,14],[3,4,6,9,10,13,14],[3,4,7,8,9,11,14],[3,5,6,7,9,11,13],[3,5,6,8,11,12,13],[4,5,6,7,8,10,12]]; G[5233]:=Group([(1,10)(3,11)(5,13)(7,9)]); # Design 5234: autom. group order 2, simple B[5234]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,6,9,11,13,14],[1,3,5,9,12,13,14],[1,3,7,9,10,11,12],[1,4,5,6,7,12,14],[1,4,6,8,10,11,14],[1,4,7,8,9,11,14],[1,5,8,10,11,12,13],[1,6,7,8,9,12,13],[2,3,6,8,9,12,14],[2,3,7,8,11,12,14],[2,4,5,9,11,12,13],[2,4,6,7,11,12,13],[2,4,7,8,9,10,13],[2,5,6,9,10,11,14],[2,5,7,8,10,12,14],[3,4,5,8,11,13,14],[3,4,6,10,12,13,14],[3,4,7,9,10,13,14],[3,5,6,7,8,11,13],[3,5,6,7,9,10,11],[4,5,6,8,9,10,12]]; G[5234]:=Group([(1,13)(2,14)(5,10)(6,9)(8,12)]); # Design 5235: autom. group order 2, simple B[5235]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,6,9,11,13,14],[1,3,5,9,12,13,14],[1,3,7,9,10,11,12],[1,4,5,6,7,12,14],[1,4,6,8,10,11,14],[1,4,7,8,11,12,13],[1,5,8,9,10,11,14],[1,6,7,8,9,12,13],[2,3,6,8,9,12,14],[2,3,7,8,11,12,14],[2,4,5,9,11,12,13],[2,4,6,7,9,11,14],[2,4,7,8,9,10,13],[2,5,6,10,11,12,13],[2,5,7,8,10,12,14],[3,4,5,8,11,13,14],[3,4,6,10,12,13,14],[3,4,7,9,10,13,14],[3,5,6,7,8,11,13],[3,5,6,7,9,10,11],[4,5,6,8,9,10,12]]; G[5235]:=Group([(1,13)(2,14)(5,10)(6,9)(8,12)]); # Design 5236: autom. group order 2, simple B[5236]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,6,9,10,11,13],[1,3,5,9,10,12,13],[1,3,7,8,10,11,12],[1,4,5,6,7,12,14],[1,4,6,9,10,11,14],[1,4,7,8,9,11,14],[1,5,8,11,12,13,14],[1,6,7,8,9,12,13],[2,3,6,8,9,12,14],[2,3,7,9,11,12,14],[2,4,5,8,11,12,13],[2,4,6,7,11,12,13],[2,4,7,8,9,10,13],[2,5,6,8,10,11,14],[2,5,7,9,10,12,14],[3,4,5,9,11,13,14],[3,4,6,10,12,13,14],[3,4,7,8,10,13,14],[3,5,6,7,8,10,11],[3,5,6,7,9,11,13],[4,5,6,8,9,10,12]]; G[5236]:=Group([(1,13)(2,14)(5,10)(6,8)(9,12)]); # Design 5237: autom. group order 2, simple, residual B[5237]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,11,14],[1,3,5,10,11,12,13],[1,3,7,9,11,12,14],[1,4,5,6,8,12,14],[1,4,6,7,10,13,14],[1,4,7,8,9,10,12],[1,5,7,9,11,13,14],[1,6,8,9,10,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,10,13],[2,4,5,9,10,13,14],[2,4,6,7,11,12,13],[2,4,8,11,12,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,12,14],[3,4,5,9,12,13,14],[3,4,6,8,9,11,13],[3,4,7,8,10,11,14],[3,5,6,7,8,12,13],[3,5,6,8,10,11,14],[4,5,6,7,9,10,11]]; G[5237]:=Group([(1,11)(3,12)(5,13)(9,14)]); # Design 5238: autom. group order 2, simple, residual B[5238]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,12,13],[1,3,5,10,11,13,14],[1,3,7,9,12,13,14],[1,4,5,6,8,12,14],[1,4,6,7,10,11,12],[1,4,7,8,9,10,14],[1,5,7,9,11,12,13],[1,6,8,9,10,11,14],[2,3,6,7,9,12,14],[2,3,7,8,9,10,11],[2,4,5,9,10,13,14],[2,4,6,7,11,13,14],[2,4,8,11,12,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,12,14],[3,4,5,9,11,12,14],[3,4,6,8,9,11,13],[3,4,7,8,10,12,13],[3,5,6,7,8,11,14],[3,5,6,8,10,12,13],[4,5,6,7,9,10,13]]; G[5238]:=Group([(1,13)(3,14)(5,11)(9,12)]); # Design 5239: autom. group order 2, simple B[5239]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,12,13],[1,3,5,10,11,12,14],[1,3,7,9,11,12,13],[1,4,5,6,9,11,14],[1,4,6,7,8,10,12],[1,4,7,8,10,13,14],[1,5,7,9,12,13,14],[1,6,8,9,10,11,14],[2,3,6,7,9,12,14],[2,3,7,8,9,10,14],[2,4,5,9,10,13,14],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,6,7,10,11,13],[2,5,8,9,10,11,12],[3,4,5,8,12,13,14],[3,4,6,8,9,11,13],[3,4,7,9,10,11,13],[3,5,6,7,8,11,14],[3,5,6,8,10,12,13],[4,5,6,7,9,10,12]]; G[5239]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 5240: autom. group order 2, simple, residual B[5240]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,11,14],[1,3,5,9,10,12,13],[1,3,7,9,11,12,14],[1,4,5,6,8,12,14],[1,4,6,7,10,11,13],[1,4,7,8,10,12,14],[1,5,7,9,11,13,14],[1,6,8,9,10,12,13],[2,3,6,7,9,12,14],[2,3,7,8,10,13,14],[2,4,5,9,10,13,14],[2,4,6,9,11,12,13],[2,4,7,8,9,12,13],[2,5,6,7,10,11,12],[2,5,8,10,11,12,14],[3,4,5,11,12,13,14],[3,4,6,8,11,13,14],[3,4,7,8,9,10,11],[3,5,6,7,8,12,13],[3,5,6,8,9,10,11],[4,5,6,7,9,10,14]]; G[5240]:=Group([(1,11)(3,12)(4,10)(9,14)]); # Design 5241: autom. group order 2, simple, residual B[5241]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,12,13],[1,3,5,10,11,12,14],[1,3,7,9,11,12,13],[1,4,5,6,8,12,14],[1,4,6,7,9,10,11],[1,4,7,8,10,13,14],[1,5,7,9,12,13,14],[1,6,8,9,10,11,14],[2,3,6,7,9,12,14],[2,3,7,8,9,10,14],[2,4,5,9,10,13,14],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,6,7,10,11,13],[2,5,8,9,10,11,12],[3,4,5,9,11,13,14],[3,4,6,8,9,11,13],[3,4,7,8,10,12,13],[3,5,6,7,8,11,14],[3,5,6,8,10,12,13],[4,5,6,7,9,10,12]]; G[5241]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 5242: autom. group order 2, simple, residual B[5242]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,11,14],[1,3,5,10,12,13,14],[1,3,7,9,11,12,14],[1,4,5,6,8,12,14],[1,4,6,7,10,11,13],[1,4,7,8,9,10,12],[1,5,7,9,11,13,14],[1,6,8,9,10,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,10,13],[2,4,5,9,10,13,14],[2,4,6,9,11,12,13],[2,4,7,8,12,13,14],[2,5,6,7,10,11,12],[2,5,8,10,11,12,14],[3,4,5,9,11,12,13],[3,4,6,8,11,13,14],[3,4,7,8,10,11,14],[3,5,6,7,8,12,13],[3,5,6,8,9,10,11],[4,5,6,7,9,10,14]]; G[5242]:=Group([(1,11)(3,12)(4,10)(9,14)]); # Design 5243: autom. group order 2, simple B[5243]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,12,13],[1,3,5,10,11,12,14],[1,3,7,8,11,13,14],[1,4,5,6,9,11,14],[1,4,6,7,8,10,12],[1,4,7,9,10,12,13],[1,5,7,9,12,13,14],[1,6,8,9,10,11,14],[2,3,6,7,9,12,14],[2,3,7,9,10,11,13],[2,4,5,9,10,13,14],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,6,7,8,10,14],[2,5,8,9,10,11,12],[3,4,5,8,12,13,14],[3,4,6,8,9,11,13],[3,4,7,8,9,10,14],[3,5,6,7,9,11,12],[3,5,6,8,10,12,13],[4,5,6,7,10,11,13]]; G[5243]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 5244: autom. group order 2, simple, residual B[5244]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,12,13],[1,3,5,10,11,12,14],[1,3,7,8,11,13,14],[1,4,5,6,9,11,14],[1,4,6,7,8,10,12],[1,4,7,9,10,12,13],[1,5,7,9,12,13,14],[1,6,8,9,10,11,14],[2,3,6,7,9,12,14],[2,3,7,8,9,10,14],[2,4,5,9,10,13,14],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,6,7,10,11,13],[2,5,8,9,10,11,12],[3,4,5,8,12,13,14],[3,4,6,8,9,11,13],[3,4,7,9,10,11,13],[3,5,6,7,9,11,12],[3,5,6,8,10,12,13],[4,5,6,7,8,10,14]]; G[5244]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 5245: autom. group order 2, simple, residual B[5245]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,12,13],[1,3,5,10,11,12,14],[1,3,7,8,11,13,14],[1,4,5,6,8,12,14],[1,4,6,7,9,10,11],[1,4,7,9,10,12,13],[1,5,7,9,12,13,14],[1,6,8,9,10,11,14],[2,3,6,7,9,12,14],[2,3,7,8,9,10,14],[2,4,5,9,10,13,14],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,6,7,10,11,13],[2,5,8,9,10,11,12],[3,4,5,9,11,13,14],[3,4,6,8,9,11,13],[3,4,7,8,10,12,13],[3,5,6,7,9,11,12],[3,5,6,8,10,12,13],[4,5,6,7,8,10,14]]; G[5245]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 5246: autom. group order 2, simple B[5246]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,6,8,11,12,14],[1,3,5,9,10,11,13],[1,3,7,8,9,11,14],[1,4,5,6,9,12,14],[1,4,6,7,10,13,14],[1,4,7,8,9,10,12],[1,5,7,8,11,13,14],[1,6,8,9,10,12,13],[2,3,6,7,8,9,13],[2,3,7,8,10,12,14],[2,4,5,8,12,13,14],[2,4,6,8,9,11,13],[2,4,7,9,10,11,14],[2,5,6,9,10,11,14],[2,5,7,9,10,12,13],[3,4,5,8,10,13,14],[3,4,6,7,11,12,13],[3,4,9,11,12,13,14],[3,5,6,7,9,12,14],[3,5,6,8,10,11,12],[4,5,6,7,8,10,11]]; G[5246]:=Group([(1,11)(2,12)(5,13)(8,14)]); # Design 5247: autom. group order 2, simple B[5247]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,12,13,14],[1,3,5,9,10,11,13],[1,3,7,8,9,12,13],[1,4,5,6,9,12,14],[1,4,6,7,10,11,12],[1,4,7,8,9,10,14],[1,5,7,8,11,12,13],[1,6,8,9,10,11,14],[2,3,6,7,8,9,11],[2,3,7,8,10,12,14],[2,4,5,8,11,12,14],[2,4,6,8,9,11,13],[2,4,7,9,10,12,13],[2,5,6,9,10,12,13],[2,5,7,9,10,11,14],[3,4,5,8,10,13,14],[3,4,6,7,11,13,14],[3,4,9,11,12,13,14],[3,5,6,7,9,12,14],[3,5,6,8,10,11,12],[4,5,6,7,8,10,13]]; G[5247]:=Group([(1,13)(2,14)(5,11)(8,12)]); # Design 5248: autom. group order 2, simple B[5248]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,6,8,11,12,14],[1,3,5,9,10,11,13],[1,3,7,8,9,11,14],[1,4,5,6,9,12,14],[1,4,6,7,8,10,13],[1,4,7,9,10,12,14],[1,5,7,8,11,13,14],[1,6,8,9,10,12,13],[2,3,6,7,9,13,14],[2,3,7,8,10,12,14],[2,4,5,8,12,13,14],[2,4,6,8,9,11,13],[2,4,7,8,9,10,11],[2,5,6,9,10,11,14],[2,5,7,9,10,12,13],[3,4,5,8,10,13,14],[3,4,6,7,11,12,13],[3,4,9,11,12,13,14],[3,5,6,7,8,9,12],[3,5,6,8,10,11,12],[4,5,6,7,10,11,14]]; G[5248]:=Group([(1,11)(2,12)(5,13)(8,14)]); # Design 5249: autom. group order 2, simple B[5249]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,12,13,14],[1,3,5,9,10,11,13],[1,3,7,8,9,12,13],[1,4,5,6,9,12,14],[1,4,6,7,8,10,11],[1,4,7,9,10,12,14],[1,5,7,8,11,12,13],[1,6,8,9,10,11,14],[2,3,6,7,9,11,12],[2,3,7,8,10,12,14],[2,4,5,8,11,12,14],[2,4,6,8,9,11,13],[2,4,7,8,9,10,13],[2,5,6,9,10,12,13],[2,5,7,9,10,11,14],[3,4,5,8,10,13,14],[3,4,6,7,11,13,14],[3,4,9,11,12,13,14],[3,5,6,7,8,9,14],[3,5,6,8,10,11,12],[4,5,6,7,10,12,13]]; G[5249]:=Group([(1,13)(2,14)(5,11)(8,12)]); # Design 5250: autom. group order 2, simple, residual B[5250]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,6,8,11,12,14],[1,3,5,8,11,13,14],[1,3,7,8,9,10,12],[1,4,5,6,9,12,14],[1,4,6,7,10,13,14],[1,4,7,8,9,11,14],[1,5,7,9,10,11,13],[1,6,8,9,10,12,13],[2,3,6,7,8,9,13],[2,3,7,9,10,11,14],[2,4,5,9,10,12,13],[2,4,6,8,9,11,13],[2,4,7,8,10,12,14],[2,5,6,9,10,11,14],[2,5,7,8,12,13,14],[3,4,5,8,10,13,14],[3,4,6,7,11,12,13],[3,4,9,11,12,13,14],[3,5,6,7,9,12,14],[3,5,6,8,10,11,12],[4,5,6,7,8,10,11]]; G[5250]:=Group([(1,11)(2,12)(5,13)(8,14)]); # Design 5251: autom. group order 2, simple, residual B[5251]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,6,9,11,13,14],[1,3,5,9,10,11,13],[1,3,7,8,9,12,14],[1,4,5,6,11,12,14],[1,4,6,7,8,10,11],[1,4,7,9,11,12,13],[1,5,7,8,10,12,13],[1,6,8,9,10,12,14],[2,3,6,7,9,10,12],[2,3,7,8,11,12,13],[2,4,5,8,10,12,14],[2,4,6,9,10,12,13],[2,4,7,8,9,11,14],[2,5,6,8,11,12,13],[2,5,7,9,10,11,14],[3,4,5,9,12,13,14],[3,4,6,7,10,13,14],[3,4,8,10,11,13,14],[3,5,6,7,11,12,14],[3,5,6,8,9,10,11],[4,5,6,7,8,9,13]]; G[5251]:=Group([(1,13)(2,14)(5,10)(9,11)]); # Design 5252: autom. group order 2, simple, residual B[5252]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,6,9,11,13,14],[1,3,5,9,12,13,14],[1,3,7,9,10,11,12],[1,4,5,6,11,12,14],[1,4,6,7,8,10,14],[1,4,7,8,11,12,13],[1,5,8,9,10,11,14],[1,6,7,8,9,12,13],[2,3,6,7,9,11,14],[2,3,7,8,11,12,14],[2,4,5,7,9,12,13],[2,4,6,8,9,12,14],[2,4,8,9,10,11,13],[2,5,6,10,11,12,13],[2,5,7,8,10,12,14],[3,4,5,8,11,13,14],[3,4,6,10,12,13,14],[3,4,7,9,10,13,14],[3,5,6,7,8,11,13],[3,5,6,8,9,10,12],[4,5,6,7,9,10,11]]; G[5252]:=Group([(1,13)(2,14)(5,10)(6,9)(8,12)]); # Design 5253: autom. group order 2, simple, residual B[5253]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,9,10,12,13],[1,3,5,9,10,13,14],[1,3,7,8,9,11,12],[1,4,5,6,11,12,14],[1,4,6,7,9,11,13],[1,4,7,8,12,13,14],[1,5,8,10,11,12,14],[1,6,7,8,9,10,14],[2,3,6,7,10,12,14],[2,3,7,9,11,12,14],[2,4,5,7,8,10,14],[2,4,6,8,9,11,14],[2,4,8,9,10,12,13],[2,5,6,8,11,12,13],[2,5,7,9,11,13,14],[3,4,5,9,12,13,14],[3,4,6,10,11,13,14],[3,4,7,8,10,11,13],[3,5,6,7,8,12,13],[3,5,6,8,9,10,11],[4,5,6,7,9,10,12]]; G[5253]:=Group([(1,10)(2,11)(5,13)(6,8)(9,14)]); # Design 5254: autom. group order 2, simple, residual B[5254]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,6,9,11,13,14],[1,3,5,9,12,13,14],[1,3,7,8,11,12,13],[1,4,5,6,11,12,14],[1,4,6,7,8,10,14],[1,4,7,9,10,11,12],[1,5,8,9,10,11,14],[1,6,7,8,9,12,13],[2,3,6,7,9,11,14],[2,3,7,8,11,12,14],[2,4,5,7,9,12,13],[2,4,6,8,9,12,14],[2,4,8,9,10,11,13],[2,5,6,10,11,12,13],[2,5,7,8,10,12,14],[3,4,5,8,11,13,14],[3,4,6,10,12,13,14],[3,4,7,9,10,13,14],[3,5,6,7,9,10,11],[3,5,6,8,9,10,12],[4,5,6,7,8,11,13]]; G[5254]:=Group([(1,13)(2,14)(5,10)(6,9)(8,12)]); # Design 5255: autom. group order 2, simple B[5255]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,6,8,10,13,14],[1,3,5,8,9,11,14],[1,3,7,8,11,13,14],[1,4,5,6,9,12,13],[1,4,6,7,8,12,14],[1,4,7,8,9,10,13],[1,5,9,10,11,12,14],[1,6,7,9,10,11,12],[2,3,6,9,12,13,14],[2,3,7,8,9,10,12],[2,4,5,7,10,11,14],[2,4,6,7,9,11,14],[2,4,8,9,11,12,13],[2,5,6,8,9,10,14],[2,5,7,8,11,12,13],[3,4,5,10,12,13,14],[3,4,6,8,11,12,14],[3,4,7,9,10,13,14],[3,5,6,7,8,10,12],[3,5,6,7,9,11,13],[4,5,6,8,10,11,13]]; G[5255]:=Group([(2,10)(3,11)(4,12)(5,9)(8,14)]); # Design 5256: autom. group order 2, simple B[5256]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,6,9,11,13,14],[1,3,5,9,12,13,14],[1,3,7,9,10,11,12],[1,4,5,6,11,12,14],[1,4,6,7,8,10,14],[1,4,7,8,11,12,13],[1,5,8,9,10,11,14],[1,6,7,8,9,12,13],[2,3,6,8,9,12,14],[2,3,7,8,11,12,14],[2,4,5,7,9,12,13],[2,4,6,7,9,11,14],[2,4,8,9,10,11,13],[2,5,6,10,11,12,13],[2,5,7,8,10,12,14],[3,4,5,8,11,13,14],[3,4,6,10,12,13,14],[3,4,7,9,10,13,14],[3,5,6,7,8,11,13],[3,5,6,7,9,10,11],[4,5,6,8,9,10,12]]; G[5256]:=Group([(1,13)(2,14)(5,10)(6,9)(8,12)]); # Design 5257: autom. group order 2, simple B[5257]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,6,9,10,11,13],[1,3,5,9,10,12,13],[1,3,7,8,10,11,12],[1,4,5,6,11,12,14],[1,4,6,7,9,10,14],[1,4,7,8,9,11,14],[1,5,8,11,12,13,14],[1,6,7,8,9,12,13],[2,3,6,8,9,12,14],[2,3,7,9,11,12,14],[2,4,5,7,8,12,13],[2,4,6,7,11,12,13],[2,4,8,9,10,11,13],[2,5,6,8,10,11,14],[2,5,7,9,10,12,14],[3,4,5,9,11,13,14],[3,4,6,10,12,13,14],[3,4,7,8,10,13,14],[3,5,6,7,8,10,11],[3,5,6,7,9,11,13],[4,5,6,8,9,10,12]]; G[5257]:=Group([(1,13)(2,14)(5,10)(6,8)(9,12)]); # Design 5258: autom. group order 2, simple, residual B[5258]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,9,10,11],[1,3,5,8,11,12,13],[1,3,7,8,11,12,14],[1,4,5,6,9,12,14],[1,4,6,7,10,12,13],[1,4,8,9,10,13,14],[1,5,7,9,10,12,13],[1,6,7,8,9,11,14],[2,3,6,7,9,12,14],[2,3,7,8,9,10,13],[2,4,5,7,8,13,14],[2,4,6,8,11,12,13],[2,4,9,11,12,13,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,12],[3,4,5,9,10,11,14],[3,4,6,7,9,11,13],[3,4,7,8,10,12,14],[3,5,6,8,9,12,13],[3,5,6,10,11,13,14],[4,5,6,7,8,10,11]]; G[5258]:=Group([(1,11)(3,12)(5,13)(6,9)(7,14)]); # Design 5259: autom. group order 2, simple, residual B[5259]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,13,14],[1,2,6,8,9,12,13],[1,3,5,10,12,13,14],[1,3,7,8,9,10,14],[1,4,5,6,9,11,14],[1,4,6,7,10,12,14],[1,4,8,9,11,12,14],[1,5,7,9,10,11,13],[1,6,7,8,11,12,13],[2,3,6,7,8,11,14],[2,3,7,9,11,12,14],[2,4,5,7,12,13,14],[2,4,6,9,10,13,14],[2,4,8,10,11,13,14],[2,5,6,8,9,10,12],[2,5,7,9,10,11,12],[3,4,5,8,11,12,13],[3,4,6,7,9,12,13],[3,4,7,8,9,10,13],[3,5,6,8,10,12,14],[3,5,6,9,11,13,14],[4,5,6,7,8,10,11]]; G[5259]:=Group([(1,13)(3,14)(5,10)(6,8)(7,11)]); # Design 5260: autom. group order 2, simple, residual B[5260]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,13,14],[1,2,6,8,9,12,13],[1,3,5,10,12,13,14],[1,3,7,8,9,10,14],[1,4,5,6,11,12,14],[1,4,6,7,9,10,14],[1,4,8,9,11,12,14],[1,5,7,9,10,11,13],[1,6,7,8,11,12,13],[2,3,6,7,8,11,14],[2,3,7,9,11,12,14],[2,4,5,7,12,13,14],[2,4,6,9,10,13,14],[2,4,8,10,11,13,14],[2,5,6,8,9,10,12],[2,5,7,9,10,11,12],[3,4,5,8,9,11,13],[3,4,6,7,9,12,13],[3,4,7,8,10,12,13],[3,5,6,8,10,12,14],[3,5,6,9,11,13,14],[4,5,6,7,8,10,11]]; G[5260]:=Group([(1,13)(3,14)(5,10)(6,8)(7,11)]); # Design 5261: autom. group order 2, simple B[5261]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,10,12,13],[1,3,5,8,9,11,14],[1,3,7,8,9,10,13],[1,4,5,6,11,12,13],[1,4,6,7,8,9,12],[1,4,9,10,11,12,14],[1,5,7,8,12,13,14],[1,6,7,9,10,11,14],[2,3,6,7,9,12,14],[2,3,7,9,11,12,13],[2,4,5,9,10,13,14],[2,4,6,7,8,11,14],[2,4,8,9,12,13,14],[2,5,6,8,9,10,11],[2,5,7,8,10,11,12],[3,4,5,7,10,12,14],[3,4,6,8,11,13,14],[3,4,7,8,10,11,13],[3,5,6,8,10,12,14],[3,5,6,9,11,12,13],[4,5,6,7,9,10,13]]; G[5261]:=Group([(2,14)(3,11)(4,9)(5,10)(6,7)(8,12)]); # Design 5262: autom. group order 2, simple B[5262]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,13],[1,2,6,8,9,11,14],[1,3,5,9,11,12,13],[1,3,7,8,11,12,14],[1,4,5,6,11,13,14],[1,4,6,9,10,12,13],[1,4,7,8,10,12,14],[1,5,7,9,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,12,13],[2,3,7,9,11,13,14],[2,4,5,8,9,12,14],[2,4,6,7,9,11,12],[2,4,7,9,10,13,14],[2,5,6,10,11,12,14],[2,5,8,10,11,12,13],[3,4,5,7,10,11,14],[3,4,6,8,12,13,14],[3,4,8,9,10,11,13],[3,5,6,7,9,10,12],[3,5,6,8,9,10,14],[4,5,6,7,8,11,13]]; G[5262]:=Group([(1,12)(3,11)(4,10)(7,14)(9,13)]); # Design 5263: autom. group order 2, simple B[5263]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,12,13],[1,3,5,9,11,12,14],[1,3,7,8,10,12,14],[1,4,5,6,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,10,11,13],[1,5,7,9,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,8,11,14],[2,3,7,9,12,13,14],[2,4,5,8,9,10,14],[2,4,6,7,9,11,12],[2,4,7,9,10,13,14],[2,5,6,10,11,12,13],[2,5,8,10,11,12,14],[3,4,5,7,10,12,13],[3,4,6,8,11,13,14],[3,4,8,9,11,12,13],[3,5,6,7,9,10,11],[3,5,6,8,9,10,13],[4,5,6,7,8,12,14]]; G[5263]:=Group([(1,11)(3,12)(4,10)(7,13)(9,14)]); # Design 5264: autom. group order 2, simple B[5264]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,9,10,11],[1,3,5,8,11,12,13],[1,3,8,9,12,13,14],[1,4,5,6,9,12,14],[1,4,6,7,10,12,13],[1,4,7,8,10,11,14],[1,5,7,9,10,12,13],[1,6,7,8,9,11,14],[2,3,6,7,9,12,14],[2,3,7,8,9,10,13],[2,4,5,7,8,13,14],[2,4,6,8,11,12,13],[2,4,9,11,12,13,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,12],[3,4,5,9,10,11,14],[3,4,6,7,9,11,13],[3,4,7,8,10,12,14],[3,5,6,7,8,11,12],[3,5,6,10,11,13,14],[4,5,6,8,9,10,13]]; G[5264]:=Group([(1,11)(3,12)(5,13)(6,9)(7,14)]); # Design 5265: autom. group order 2, simple B[5265]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,9,10,11],[1,3,5,8,11,12,13],[1,3,8,9,12,13,14],[1,4,5,6,9,12,14],[1,4,6,7,10,12,13],[1,4,7,8,10,11,14],[1,5,7,9,10,12,13],[1,6,7,8,9,11,14],[2,3,6,7,9,12,14],[2,3,7,8,10,12,14],[2,4,5,7,8,13,14],[2,4,6,8,11,12,13],[2,4,9,11,12,13,14],[2,5,6,8,9,10,13],[2,5,7,9,10,11,12],[3,4,5,9,10,11,14],[3,4,6,7,9,11,13],[3,4,7,8,9,10,13],[3,5,6,7,8,11,12],[3,5,6,10,11,13,14],[4,5,6,8,10,12,14]]; G[5265]:=Group([(1,11)(3,12)(5,13)(6,9)(7,14)]); # Design 5266: autom. group order 2, simple, residual B[5266]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,12,13],[1,3,5,10,11,12,14],[1,3,8,9,11,13,14],[1,4,5,6,8,12,14],[1,4,6,7,10,11,13],[1,4,7,9,11,13,14],[1,5,7,9,10,12,14],[1,6,7,8,9,10,12],[2,3,6,7,12,13,14],[2,3,7,8,9,10,14],[2,4,5,9,10,13,14],[2,4,6,9,11,12,14],[2,4,7,8,11,12,14],[2,5,6,7,9,10,11],[2,5,8,10,11,12,13],[3,4,5,7,9,12,13],[3,4,6,8,9,10,11],[3,4,7,8,10,12,13],[3,5,6,7,8,11,14],[3,5,6,9,11,12,13],[4,5,6,8,10,13,14]]; G[5266]:=Group([(1,12)(3,11)(5,14)(6,8)]); # Design 5267: autom. group order 2, simple B[5267]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,7,9,10,14],[1,3,5,7,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,8,12,14],[1,4,6,7,9,12,13],[1,4,8,9,11,13,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,8,11,12,14],[2,4,5,9,11,12,13],[2,4,6,7,8,11,14],[2,4,7,9,10,12,14],[2,5,6,11,12,13,14],[2,5,7,8,9,10,13],[3,4,5,9,10,11,14],[3,4,6,8,10,13,14],[3,4,7,8,10,12,13],[3,5,6,7,8,9,11],[3,5,6,9,10,12,14],[4,5,6,7,10,11,13]]; G[5267]:=Group([(2,10)(3,11)(4,12)(5,8)(7,9)]); # Design 5268: autom. group order 2, simple B[5268]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,7,9,10,14],[1,3,5,7,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,8,12,14],[1,4,6,7,9,12,13],[1,4,8,9,11,13,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,9,12,14],[2,3,7,8,11,12,14],[2,4,5,9,11,12,13],[2,4,6,7,8,11,13],[2,4,7,9,10,12,14],[2,5,6,11,12,13,14],[2,5,7,8,9,10,13],[3,4,5,9,10,11,14],[3,4,6,8,10,13,14],[3,4,7,8,10,12,13],[3,5,6,7,8,9,11],[3,5,6,9,10,12,13],[4,5,6,7,10,11,14]]; G[5268]:=Group([(2,10)(3,11)(4,12)(5,8)(7,9)]); # Design 5269: autom. group order 2, simple, residual B[5269]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,7,9,12,14],[1,3,5,7,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,8,11,14],[1,4,6,7,8,12,13],[1,4,8,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,8,10,11,14],[2,4,5,9,11,12,13],[2,4,6,7,9,10,14],[2,4,7,8,11,12,14],[2,5,6,9,11,13,14],[2,5,7,8,10,12,13],[3,4,5,9,10,12,14],[3,4,6,10,12,13,14],[3,4,7,8,9,11,13],[3,5,6,7,8,9,10],[3,5,6,8,11,12,14],[4,5,6,7,10,11,13]]; G[5269]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 5270: autom. group order 2, simple, residual B[5270]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,7,9,12,14],[1,3,5,7,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,8,11,14],[1,4,6,7,8,12,13],[1,4,8,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,9,12,14],[2,3,7,8,10,11,14],[2,4,5,9,11,12,13],[2,4,6,7,9,10,13],[2,4,7,8,11,12,14],[2,5,6,9,11,13,14],[2,5,7,8,10,12,13],[3,4,5,9,10,12,14],[3,4,6,10,12,13,14],[3,4,7,8,9,11,13],[3,5,6,7,8,9,10],[3,5,6,8,11,12,13],[4,5,6,7,10,11,14]]; G[5270]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 5271: autom. group order 2, simple, residual B[5271]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,7,9,12,14],[1,3,5,7,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,8,11,14],[1,4,6,7,8,12,13],[1,4,8,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,8,10,11,14],[2,4,5,9,11,12,13],[2,4,6,7,9,10,14],[2,4,7,8,11,12,14],[2,5,6,10,12,13,14],[2,5,7,8,9,11,13],[3,4,5,9,10,12,14],[3,4,6,9,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,8,9,10],[3,5,6,8,11,12,14],[4,5,6,7,10,11,13]]; G[5271]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 5272: autom. group order 2, simple, residual B[5272]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,7,9,12,14],[1,3,5,7,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,8,11,14],[1,4,6,7,8,12,13],[1,4,8,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,8,10,11,14],[2,4,5,9,11,12,14],[2,4,6,7,9,10,14],[2,4,7,8,11,12,13],[2,5,6,10,12,13,14],[2,5,7,8,9,11,13],[3,4,5,9,10,12,13],[3,4,6,9,11,13,14],[3,4,7,8,10,12,14],[3,5,6,7,8,9,10],[3,5,6,8,11,12,14],[4,5,6,7,10,11,13]]; G[5272]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 5273: autom. group order 2, simple, residual B[5273]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,7,9,12,14],[1,3,5,7,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,8,11,14],[1,4,6,7,8,12,13],[1,4,8,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,9,12,14],[2,3,7,8,10,11,14],[2,4,5,9,11,12,13],[2,4,6,7,9,10,13],[2,4,7,8,11,12,14],[2,5,6,10,12,13,14],[2,5,7,8,9,11,13],[3,4,5,9,10,12,14],[3,4,6,9,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,8,9,10],[3,5,6,8,11,12,13],[4,5,6,7,10,11,14]]; G[5273]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 5274: autom. group order 2, simple, residual B[5274]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,7,8,12,14],[1,3,5,7,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,9,10,14],[1,4,6,7,9,12,13],[1,4,8,9,11,13,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,9,10,11,14],[2,4,5,9,11,12,13],[2,4,6,7,8,11,14],[2,4,7,9,10,12,14],[2,5,6,11,12,13,14],[2,5,7,8,9,10,13],[3,4,5,8,11,12,14],[3,4,6,8,10,13,14],[3,4,7,8,10,12,13],[3,5,6,7,8,9,11],[3,5,6,9,10,12,14],[4,5,6,7,10,11,13]]; G[5274]:=Group([(2,10)(3,11)(4,12)(5,8)(7,9)]); # Design 5275: autom. group order 2, simple B[5275]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,7,8,12,14],[1,3,5,7,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,9,10,14],[1,4,6,7,9,12,13],[1,4,8,9,11,13,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,9,10,11,14],[2,4,5,9,11,12,14],[2,4,6,7,8,11,14],[2,4,7,9,10,12,13],[2,5,6,11,12,13,14],[2,5,7,8,9,10,13],[3,4,5,8,11,12,13],[3,4,6,8,10,13,14],[3,4,7,8,10,12,14],[3,5,6,7,8,9,11],[3,5,6,9,10,12,14],[4,5,6,7,10,11,13]]; G[5275]:=Group([(2,10)(3,11)(4,12)(5,8)(7,9)]); # Design 5276: autom. group order 2, simple B[5276]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,7,8,12,14],[1,3,5,7,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,9,10,14],[1,4,6,7,9,12,13],[1,4,8,9,11,13,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,9,12,14],[2,3,7,9,10,11,14],[2,4,5,9,11,12,14],[2,4,6,7,8,11,13],[2,4,7,9,10,12,13],[2,5,6,11,12,13,14],[2,5,7,8,9,10,13],[3,4,5,8,11,12,13],[3,4,6,8,10,13,14],[3,4,7,8,10,12,14],[3,5,6,7,8,9,11],[3,5,6,9,10,12,13],[4,5,6,7,10,11,14]]; G[5276]:=Group([(2,10)(3,11)(4,12)(5,8)(7,9)]); # Design 5277: autom. group order 2, simple B[5277]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,7,8,11,14],[1,3,5,7,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,9,12,13],[1,4,6,7,8,12,14],[1,4,8,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,9,10,12,14],[2,4,5,9,11,12,14],[2,4,6,7,9,10,14],[2,4,7,8,11,12,13],[2,5,6,9,11,13,14],[2,5,7,8,10,12,13],[3,4,5,8,10,11,14],[3,4,6,10,12,13,14],[3,4,7,8,9,11,13],[3,5,6,7,8,9,10],[3,5,6,8,11,12,14],[4,5,6,7,10,11,13]]; G[5277]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 5278: autom. group order 2, simple B[5278]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,7,8,11,14],[1,3,5,7,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,9,12,13],[1,4,6,7,8,12,14],[1,4,8,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,9,12,14],[2,3,7,9,10,12,14],[2,4,5,9,11,12,14],[2,4,6,7,9,10,13],[2,4,7,8,11,12,13],[2,5,6,9,11,13,14],[2,5,7,8,10,12,13],[3,4,5,8,10,11,14],[3,4,6,10,12,13,14],[3,4,7,8,9,11,13],[3,5,6,7,8,9,10],[3,5,6,8,11,12,13],[4,5,6,7,10,11,14]]; G[5278]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 5279: autom. group order 2, simple, residual B[5279]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,7,8,11,14],[1,3,5,7,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,9,12,14],[1,4,6,7,8,12,13],[1,4,8,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,9,10,12,14],[2,4,5,9,11,12,13],[2,4,6,7,9,10,14],[2,4,7,8,11,12,14],[2,5,6,9,11,13,14],[2,5,7,8,10,12,13],[3,4,5,8,10,11,14],[3,4,6,10,12,13,14],[3,4,7,8,9,11,13],[3,5,6,7,8,9,10],[3,5,6,8,11,12,14],[4,5,6,7,10,11,13]]; G[5279]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 5280: autom. group order 2, simple, residual B[5280]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,7,8,11,14],[1,3,5,7,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,9,12,14],[1,4,6,7,8,12,13],[1,4,8,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,9,12,14],[2,3,7,9,10,12,14],[2,4,5,9,11,12,13],[2,4,6,7,9,10,13],[2,4,7,8,11,12,14],[2,5,6,9,11,13,14],[2,5,7,8,10,12,13],[3,4,5,8,10,11,14],[3,4,6,10,12,13,14],[3,4,7,8,9,11,13],[3,5,6,7,8,9,10],[3,5,6,8,11,12,13],[4,5,6,7,10,11,14]]; G[5280]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 5281: autom. group order 2, simple, residual B[5281]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,7,8,11,14],[1,3,5,7,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,9,12,13],[1,4,6,7,8,12,14],[1,4,8,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,9,10,12,14],[2,4,5,9,11,12,14],[2,4,6,7,9,10,14],[2,4,7,8,11,12,13],[2,5,6,10,12,13,14],[2,5,7,8,9,11,13],[3,4,5,8,10,11,14],[3,4,6,9,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,8,9,10],[3,5,6,8,11,12,14],[4,5,6,7,10,11,13]]; G[5281]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 5282: autom. group order 2, simple, residual B[5282]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,7,8,11,14],[1,3,5,7,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,9,12,13],[1,4,6,7,8,12,14],[1,4,8,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,9,12,14],[2,3,7,9,10,12,14],[2,4,5,9,11,12,14],[2,4,6,7,9,10,13],[2,4,7,8,11,12,13],[2,5,6,10,12,13,14],[2,5,7,8,9,11,13],[3,4,5,8,10,11,14],[3,4,6,9,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,8,9,10],[3,5,6,8,11,12,13],[4,5,6,7,10,11,14]]; G[5282]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 5283: autom. group order 2, simple, residual B[5283]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,7,8,11,14],[1,3,5,7,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,9,12,14],[1,4,6,7,8,12,13],[1,4,8,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,9,10,12,14],[2,4,5,9,11,12,13],[2,4,6,7,9,10,14],[2,4,7,8,11,12,14],[2,5,6,10,12,13,14],[2,5,7,8,9,11,13],[3,4,5,8,10,11,14],[3,4,6,9,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,8,9,10],[3,5,6,8,11,12,14],[4,5,6,7,10,11,13]]; G[5283]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 5284: autom. group order 2, simple, residual B[5284]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,7,8,11,14],[1,3,5,7,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,9,12,14],[1,4,6,7,8,12,13],[1,4,8,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,9,12,14],[2,3,7,9,10,12,14],[2,4,5,9,11,12,13],[2,4,6,7,9,10,13],[2,4,7,8,11,12,14],[2,5,6,10,12,13,14],[2,5,7,8,9,11,13],[3,4,5,8,10,11,14],[3,4,6,9,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,8,9,10],[3,5,6,8,11,12,13],[4,5,6,7,10,11,14]]; G[5284]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 5285: autom. group order 2, simple, residual B[5285]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,10,12,14],[1,3,5,7,12,13,14],[1,3,7,8,9,11,14],[1,4,5,6,10,11,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,13],[1,5,7,8,11,12,13],[1,6,8,9,10,12,14],[2,3,6,9,11,13,14],[2,3,7,9,10,11,12],[2,4,5,8,9,12,14],[2,4,6,7,8,10,13],[2,4,7,9,12,13,14],[2,5,6,7,8,11,12],[2,5,8,10,11,13,14],[3,4,5,10,12,13,14],[3,4,6,8,11,12,13],[3,4,7,8,10,11,14],[3,5,6,7,9,10,13],[3,5,6,8,9,10,12],[4,5,6,7,9,11,14]]; G[5285]:=Group([(2,6)(3,14)(4,10)(5,12)]); # Design 5286: autom. group order 2, simple, residual B[5286]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,10,12,14],[1,3,5,7,12,13,14],[1,3,7,8,9,11,14],[1,4,5,6,10,11,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,13],[1,5,7,8,11,12,13],[1,6,8,9,10,12,14],[2,3,6,9,11,13,14],[2,3,7,9,10,12,13],[2,4,5,8,9,12,14],[2,4,6,7,8,10,13],[2,4,7,9,11,12,14],[2,5,6,7,8,11,12],[2,5,8,10,11,13,14],[3,4,5,10,12,13,14],[3,4,6,8,11,12,13],[3,4,7,8,10,11,14],[3,5,6,7,9,10,11],[3,5,6,8,9,10,12],[4,5,6,7,9,13,14]]; G[5286]:=Group([(2,6)(3,14)(4,10)(5,12)]); # Design 5287: autom. group order 2, simple, residual B[5287]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,10,12,14],[1,3,5,7,12,13,14],[1,3,7,8,9,11,14],[1,4,5,6,10,11,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,13],[1,5,7,8,11,12,13],[1,6,8,9,10,12,14],[2,3,6,9,11,13,14],[2,3,7,9,10,12,13],[2,4,5,8,9,12,14],[2,4,6,7,8,10,13],[2,4,7,8,11,12,14],[2,5,6,7,9,11,12],[2,5,8,10,11,13,14],[3,4,5,10,12,13,14],[3,4,6,8,11,12,13],[3,4,7,9,10,11,14],[3,5,6,7,8,10,11],[3,5,6,8,9,10,12],[4,5,6,7,9,13,14]]; G[5287]:=Group([(2,6)(3,14)(4,10)(5,12)]); # Design 5288: autom. group order 2, simple, residual B[5288]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,10,12,14],[1,3,5,7,12,13,14],[1,3,7,8,9,11,14],[1,4,5,6,10,11,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,13],[1,5,7,8,11,12,13],[1,6,8,9,10,12,14],[2,3,6,9,11,13,14],[2,3,7,8,10,11,12],[2,4,5,8,9,12,14],[2,4,6,7,8,10,13],[2,4,7,9,12,13,14],[2,5,6,7,9,11,12],[2,5,8,10,11,13,14],[3,4,5,10,12,13,14],[3,4,6,8,11,12,13],[3,4,7,9,10,11,14],[3,5,6,7,9,10,13],[3,5,6,8,9,10,12],[4,5,6,7,8,11,14]]; G[5288]:=Group([(2,6)(3,14)(4,10)(5,12)]); # Design 5289: autom. group order 2, simple, residual B[5289]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,10,12,14],[1,3,5,7,12,13,14],[1,3,7,8,9,11,14],[1,4,5,6,10,11,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,13],[1,5,7,8,11,12,13],[1,6,8,9,10,12,14],[2,3,6,9,11,13,14],[2,3,7,9,10,12,13],[2,4,5,8,9,12,14],[2,4,6,7,8,10,13],[2,4,8,11,12,13,14],[2,5,6,7,9,11,12],[2,5,7,8,10,11,14],[3,4,5,10,12,13,14],[3,4,6,7,8,11,12],[3,4,7,9,10,11,14],[3,5,6,8,9,10,12],[3,5,6,8,10,11,13],[4,5,6,7,9,13,14]]; G[5289]:=Group([(2,6)(3,14)(4,10)(5,12)]); # Design 5290: autom. group order 2, simple, residual B[5290]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,10,12,14],[1,3,5,7,12,13,14],[1,3,7,8,9,11,14],[1,4,5,6,10,11,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,13],[1,5,7,8,11,12,13],[1,6,8,9,10,12,14],[2,3,6,9,11,13,14],[2,3,7,9,10,11,12],[2,4,5,8,9,12,14],[2,4,6,7,8,10,13],[2,4,8,11,12,13,14],[2,5,6,7,8,11,12],[2,5,7,9,10,13,14],[3,4,5,10,12,13,14],[3,4,6,7,9,12,13],[3,4,7,8,10,11,14],[3,5,6,8,9,10,12],[3,5,6,8,10,11,13],[4,5,6,7,9,11,14]]; G[5290]:=Group([(2,6)(3,14)(4,10)(5,12)]); # Design 5291: autom. group order 2, simple, residual B[5291]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,10,12,14],[1,3,5,7,12,13,14],[1,3,7,8,9,11,14],[1,4,5,6,10,11,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,13],[1,5,7,8,11,12,13],[1,6,8,9,10,12,14],[2,3,6,9,11,13,14],[2,3,7,9,10,12,13],[2,4,5,8,9,12,14],[2,4,6,7,8,10,13],[2,4,8,11,12,13,14],[2,5,6,7,8,11,12],[2,5,7,9,10,11,14],[3,4,5,10,12,13,14],[3,4,6,7,9,11,12],[3,4,7,8,10,11,14],[3,5,6,8,9,10,12],[3,5,6,8,10,11,13],[4,5,6,7,9,13,14]]; G[5291]:=Group([(2,6)(3,14)(4,10)(5,12)]); # Design 5292: autom. group order 2, simple, residual B[5292]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,10,12,14],[1,3,5,7,12,13,14],[1,3,7,8,9,11,14],[1,4,5,6,10,11,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,13],[1,5,7,8,11,12,13],[1,6,8,9,10,12,14],[2,3,6,9,11,13,14],[2,3,8,10,11,12,13],[2,4,5,8,9,12,14],[2,4,6,7,8,10,13],[2,4,7,9,12,13,14],[2,5,6,7,9,11,12],[2,5,7,8,10,11,14],[3,4,5,10,12,13,14],[3,4,6,7,8,11,12],[3,4,7,9,10,11,14],[3,5,6,7,9,10,13],[3,5,6,8,9,10,12],[4,5,6,8,11,13,14]]; G[5292]:=Group([(2,6)(3,14)(4,10)(5,12)]); # Design 5293: autom. group order 2, simple, residual B[5293]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,10,12,14],[1,3,5,7,12,13,14],[1,3,7,8,9,11,14],[1,4,5,6,10,11,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,13],[1,5,7,8,11,12,13],[1,6,8,9,10,12,14],[2,3,6,9,11,13,14],[2,3,8,10,11,12,13],[2,4,5,8,9,12,14],[2,4,6,7,8,10,13],[2,4,7,9,11,12,14],[2,5,6,7,8,11,12],[2,5,7,9,10,13,14],[3,4,5,10,12,13,14],[3,4,6,7,9,12,13],[3,4,7,8,10,11,14],[3,5,6,7,9,10,11],[3,5,6,8,9,10,12],[4,5,6,8,11,13,14]]; G[5293]:=Group([(2,6)(3,14)(4,10)(5,12)]); # Design 5294: autom. group order 2, simple, residual B[5294]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,10,12,14],[1,3,5,7,12,13,14],[1,3,7,8,9,11,14],[1,4,5,6,10,11,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,13],[1,5,7,8,11,12,13],[1,6,8,9,10,12,14],[2,3,6,9,11,13,14],[2,3,8,10,11,12,13],[2,4,5,8,9,12,14],[2,4,6,7,8,10,13],[2,4,7,9,12,13,14],[2,5,6,7,8,11,12],[2,5,7,9,10,11,14],[3,4,5,10,12,13,14],[3,4,6,7,9,11,12],[3,4,7,8,10,11,14],[3,5,6,7,9,10,13],[3,5,6,8,9,10,12],[4,5,6,8,11,13,14]]; G[5294]:=Group([(2,6)(3,14)(4,10)(5,12)]); # Design 5295: autom. group order 2, simple, residual B[5295]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,8,12,13],[1,3,5,7,9,11,14],[1,3,7,8,10,12,14],[1,4,5,6,9,10,13],[1,4,6,11,12,13,14],[1,4,7,9,11,12,13],[1,5,8,9,10,11,12],[1,6,7,8,9,10,14],[2,3,6,7,9,11,12],[2,3,9,10,11,13,14],[2,4,5,7,10,12,14],[2,4,6,8,9,11,14],[2,4,7,8,9,10,13],[2,5,6,8,10,11,12],[2,5,7,9,12,13,14],[3,4,5,8,12,13,14],[3,4,6,8,9,12,14],[3,4,7,8,10,11,13],[3,5,6,7,8,11,13],[3,5,6,9,10,12,13],[4,5,6,7,10,11,14]]; G[5295]:=Group([(2,11)(3,12)(5,13)(6,9)(8,14)]); # Design 5296: autom. group order 2, simple, residual B[5296]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,11,13],[1,3,5,7,9,11,12],[1,3,7,10,12,13,14],[1,4,5,6,12,13,14],[1,4,6,8,9,10,12],[1,4,7,8,10,11,14],[1,5,8,9,10,12,13],[1,6,7,8,9,11,14],[2,3,6,8,9,12,14],[2,3,7,8,9,10,13],[2,4,5,7,8,10,14],[2,4,6,8,11,12,13],[2,4,7,9,12,13,14],[2,5,6,7,10,11,12],[2,5,9,10,11,12,14],[3,4,5,9,11,13,14],[3,4,6,9,10,11,14],[3,4,7,8,11,12,13],[3,5,6,7,8,12,14],[3,5,6,8,10,11,13],[4,5,6,7,9,10,13]]; G[5296]:=Group([(1,11)(3,12)(4,10)(8,14)]); # Design 5297: autom. group order 2, simple, residual B[5297]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,11,13],[1,3,5,7,9,11,12],[1,3,7,8,10,12,13],[1,4,5,6,12,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,11,14],[1,5,8,9,10,12,13],[1,6,7,8,9,11,14],[2,3,6,8,9,12,14],[2,3,7,9,10,13,14],[2,4,5,7,8,10,14],[2,4,6,8,11,12,13],[2,4,7,8,9,12,13],[2,5,6,7,10,11,12],[2,5,9,10,11,12,14],[3,4,5,9,11,13,14],[3,4,6,8,9,10,11],[3,4,7,11,12,13,14],[3,5,6,7,8,12,14],[3,5,6,8,10,11,13],[4,5,6,7,9,10,13]]; G[5297]:=Group([(1,11)(3,12)(4,10)(8,14)]); # Design 5298: autom. group order 2, simple B[5298]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,10,11],[1,3,5,7,11,12,13],[1,3,7,8,9,12,13],[1,4,5,6,9,12,14],[1,4,6,8,10,12,13],[1,4,7,8,10,11,14],[1,5,9,10,12,13,14],[1,6,7,8,9,11,14],[2,3,6,8,9,12,14],[2,3,7,8,10,12,14],[2,4,5,7,8,13,14],[2,4,6,11,12,13,14],[2,4,7,9,11,12,13],[2,5,6,7,9,10,13],[2,5,8,9,10,11,12],[3,4,5,9,10,11,14],[3,4,6,8,9,11,13],[3,4,7,9,10,13,14],[3,5,6,7,11,12,14],[3,5,6,8,10,11,13],[4,5,6,7,8,10,12]]; G[5298]:=Group([(1,11)(3,12)(5,13)(6,9)(8,14)]); # Design 5299: autom. group order 2, simple, residual B[5299]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,8,12,13],[1,3,5,7,9,11,14],[1,3,7,8,10,12,14],[1,4,5,6,9,10,13],[1,4,6,11,12,13,14],[1,4,7,9,11,12,13],[1,5,8,9,10,11,12],[1,6,7,8,9,10,14],[2,3,6,9,10,11,12],[2,3,7,9,11,13,14],[2,4,5,7,10,12,14],[2,4,6,8,9,11,14],[2,4,7,8,9,10,13],[2,5,6,7,8,11,12],[2,5,9,10,12,13,14],[3,4,5,8,12,13,14],[3,4,6,8,9,12,14],[3,4,7,8,10,11,13],[3,5,6,7,9,12,13],[3,5,6,8,10,11,13],[4,5,6,7,10,11,14]]; G[5299]:=Group([(2,11)(3,12)(5,13)(6,9)(8,14)]); # Design 5300: autom. group order 2, simple, residual B[5300]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,13,14],[1,2,6,7,9,10,11],[1,3,5,7,10,12,13],[1,3,7,8,10,12,14],[1,4,5,6,9,12,14],[1,4,6,11,12,13,14],[1,4,7,8,9,11,13],[1,5,8,9,11,12,13],[1,6,7,8,9,10,14],[2,3,6,8,9,11,12],[2,3,7,9,11,13,14],[2,4,5,7,8,13,14],[2,4,6,8,10,12,13],[2,4,7,9,10,12,13],[2,5,6,7,11,12,14],[2,5,8,9,10,12,14],[3,4,5,9,10,11,14],[3,4,6,9,10,13,14],[3,4,7,8,11,12,14],[3,5,6,7,9,12,13],[3,5,6,8,10,11,13],[4,5,6,7,8,10,11]]; G[5300]:=Group([(1,10)(3,12)(5,13)(6,9)]); # Design 5301: autom. group order 2, simple, residual B[5301]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,13,14],[1,2,6,7,9,10,11],[1,3,5,7,10,12,13],[1,3,7,8,10,12,14],[1,4,5,6,9,13,14],[1,4,6,8,11,12,13],[1,4,7,9,11,12,13],[1,5,8,9,11,12,14],[1,6,7,8,9,10,14],[2,3,6,8,9,11,12],[2,3,7,9,11,13,14],[2,4,5,7,8,12,14],[2,4,6,10,12,13,14],[2,4,7,8,9,10,13],[2,5,6,7,11,12,14],[2,5,8,9,10,12,13],[3,4,5,9,10,11,14],[3,4,6,9,10,12,14],[3,4,7,8,11,13,14],[3,5,6,7,9,12,13],[3,5,6,8,10,11,13],[4,5,6,7,8,10,11]]; G[5301]:=Group([(2,11)(3,12)(5,13)(6,9)]); # Design 5302: autom. group order 2, simple, residual B[5302]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,10,13],[1,2,6,7,8,11,14],[1,3,5,7,11,12,13],[1,3,7,8,10,12,14],[1,4,5,6,11,13,14],[1,4,6,9,10,12,14],[1,4,8,9,11,12,13],[1,5,7,9,12,13,14],[1,6,7,8,9,10,11],[2,3,6,8,9,12,13],[2,3,7,9,11,13,14],[2,4,5,7,8,12,14],[2,4,6,7,9,11,12],[2,4,7,9,10,13,14],[2,5,6,10,11,12,13],[2,5,8,10,11,12,14],[3,4,5,9,10,11,14],[3,4,6,8,12,13,14],[3,4,7,8,10,11,13],[3,5,6,7,9,10,12],[3,5,6,8,9,11,14],[4,5,6,7,8,10,13]]; G[5302]:=Group([(1,12)(3,11)(4,10)(7,13)(9,14)]); # Design 5303: autom. group order 2, simple B[5303]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,7,8,11,14],[1,3,5,7,10,12,13],[1,3,7,8,11,12,14],[1,4,5,6,12,13,14],[1,4,6,9,10,11,13],[1,4,8,9,10,12,14],[1,5,7,9,11,13,14],[1,6,7,8,9,10,12],[2,3,6,8,9,12,13],[2,3,7,9,12,13,14],[2,4,5,7,8,10,14],[2,4,6,7,9,11,12],[2,4,7,9,10,13,14],[2,5,6,10,11,12,14],[2,5,8,10,11,12,13],[3,4,5,9,11,12,14],[3,4,6,8,11,13,14],[3,4,7,8,10,11,13],[3,5,6,7,9,10,11],[3,5,6,8,9,10,14],[4,5,6,7,8,12,13]]; G[5303]:=Group([(1,11)(3,12)(4,10)(7,14)(9,13)]); # Design 5304: autom. group order 2, simple B[5304]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,7,8,11,14],[1,3,5,7,12,13,14],[1,3,8,9,11,13,14],[1,4,5,6,9,12,13],[1,4,6,7,8,12,14],[1,4,7,9,10,13,14],[1,5,8,9,10,11,12],[1,6,7,9,10,11,12],[2,3,6,9,12,13,14],[2,3,7,9,10,12,14],[2,4,5,9,11,12,14],[2,4,6,8,9,10,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,13],[2,5,7,8,10,12,13],[3,4,5,7,10,11,14],[3,4,6,8,10,12,13],[3,4,7,8,9,11,13],[3,5,6,7,8,9,10],[3,5,6,8,11,12,14],[4,5,6,10,11,13,14]]; G[5304]:=Group([(2,11)(3,10)(4,12)(5,9)]); # Design 5305: autom. group order 2, simple, residual B[5305]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,7,8,11,14],[1,3,5,7,12,13,14],[1,3,8,9,11,13,14],[1,4,5,6,9,12,14],[1,4,6,7,8,12,13],[1,4,7,9,10,13,14],[1,5,8,9,10,11,12],[1,6,7,9,10,11,12],[2,3,6,9,12,13,14],[2,3,7,9,10,12,14],[2,4,5,9,11,12,13],[2,4,6,8,9,10,14],[2,4,7,8,11,12,14],[2,5,6,7,9,11,13],[2,5,7,8,10,12,13],[3,4,5,7,10,11,14],[3,4,6,8,10,12,13],[3,4,7,8,9,11,13],[3,5,6,7,8,9,10],[3,5,6,8,11,12,14],[4,5,6,10,11,13,14]]; G[5305]:=Group([(2,11)(3,10)(4,12)(5,9)]); # Design 5306: autom. group order 2, simple, residual B[5306]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,7,9,12,14],[1,3,5,7,10,13,14],[1,3,8,9,12,13,14],[1,4,5,6,11,12,13],[1,4,6,7,9,10,14],[1,4,7,8,11,13,14],[1,5,8,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,9,11,12,14],[2,3,7,8,10,11,14],[2,4,5,8,10,12,14],[2,4,6,8,11,13,14],[2,4,7,9,10,12,13],[2,5,6,7,8,12,13],[2,5,7,9,10,11,13],[3,4,5,7,11,12,14],[3,4,6,9,10,11,13],[3,4,7,8,9,12,13],[3,5,6,7,8,9,11],[3,5,6,10,12,13,14],[4,5,6,8,9,10,14]]; G[5306]:=Group([(2,12)(3,11)(4,10)(5,8)]); # Design 5307: autom. group order 2, simple B[5307]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,7,9,12,14],[1,3,5,7,10,13,14],[1,3,8,9,12,13,14],[1,4,5,6,11,12,13],[1,4,6,7,9,10,14],[1,4,7,8,11,13,14],[1,5,8,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,11,12,13,14],[2,3,7,8,10,11,14],[2,4,5,8,10,12,14],[2,4,6,8,9,11,14],[2,4,7,9,10,12,13],[2,5,6,7,8,12,13],[2,5,7,9,10,11,13],[3,4,5,7,11,12,14],[3,4,6,9,10,11,13],[3,4,7,8,9,12,13],[3,5,6,7,8,9,11],[3,5,6,9,10,12,14],[4,5,6,8,10,13,14]]; G[5307]:=Group([(2,12)(3,11)(4,10)(5,8)]); # Design 5308: autom. group order 2, simple, residual B[5308]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,12,13],[1,2,6,7,10,13,14],[1,3,5,7,9,10,13],[1,3,8,9,11,13,14],[1,4,5,6,11,12,14],[1,4,6,8,9,10,11],[1,4,7,8,9,12,14],[1,5,7,8,10,12,14],[1,6,7,9,11,12,13],[2,3,6,7,8,11,12],[2,3,7,9,11,12,14],[2,4,5,9,12,13,14],[2,4,6,7,9,10,14],[2,4,8,10,11,13,14],[2,5,6,8,9,12,13],[2,5,7,8,9,10,11],[3,4,5,7,11,13,14],[3,4,6,9,10,12,13],[3,4,7,8,10,12,13],[3,5,6,8,10,12,14],[3,5,6,9,10,11,14],[4,5,6,7,8,11,13]]; G[5308]:=Group([(1,10)(2,12)(5,13)(6,8)]); # Design 5309: autom. group order 2, simple, residual B[5309]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,11,12,13,14],[1,2,6,7,8,9,13],[1,3,5,7,10,11,13],[1,3,8,9,12,13,14],[1,4,5,6,8,11,14],[1,4,6,9,10,12,13],[1,4,7,9,11,12,14],[1,5,7,8,9,10,14],[1,6,7,8,10,11,12],[2,3,6,7,8,12,14],[2,3,7,9,10,11,14],[2,4,5,8,10,12,14],[2,4,6,9,11,13,14],[2,4,7,8,10,12,13],[2,5,6,7,9,11,12],[2,5,8,9,10,11,13],[3,4,5,7,9,12,13],[3,4,6,8,9,10,11],[3,4,7,8,11,13,14],[3,5,6,8,11,12,13],[3,5,6,9,10,12,14],[4,5,6,7,10,13,14]]; G[5309]:=Group([(1,10)(2,4)(3,12)(5,8)(6,13)(9,14)]); # Design 5310: autom. group order 2, simple, residual B[5310]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,13,14],[1,2,6,7,9,11,14],[1,3,5,7,11,12,13],[1,3,8,9,11,12,14],[1,4,5,6,11,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,12,13],[2,3,6,7,9,12,14],[2,3,7,8,10,13,14],[2,4,5,9,12,13,14],[2,4,6,8,11,12,13],[2,4,7,8,11,13,14],[2,5,6,7,10,11,12],[2,5,8,9,10,11,12],[3,4,5,7,8,12,14],[3,4,6,9,10,11,14],[3,4,7,9,10,11,13],[3,5,6,8,9,11,13],[3,5,6,10,12,13,14],[4,5,6,7,8,9,10]]; G[5310]:=Group([(1,12)(3,11)(4,10)]); # Design 5311: autom. group order 2, simple, residual B[5311]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,10,13],[1,2,6,7,8,11,14],[1,3,5,7,11,12,13],[1,3,8,9,11,12,14],[1,4,5,6,11,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,12,13],[1,5,7,9,12,13,14],[1,6,7,8,9,10,11],[2,3,6,8,9,12,13],[2,3,7,9,11,13,14],[2,4,5,7,8,12,14],[2,4,6,7,9,11,12],[2,4,7,9,10,13,14],[2,5,6,10,11,12,13],[2,5,8,10,11,12,14],[3,4,5,9,10,11,14],[3,4,6,8,12,13,14],[3,4,7,8,10,11,13],[3,5,6,7,8,10,14],[3,5,6,7,9,10,12],[4,5,6,8,9,11,13]]; G[5311]:=Group([(1,12)(3,11)(4,10)(7,13)(9,14)]); # Design 5312: autom. group order 2, simple B[5312]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,7,8,12,13],[1,3,5,7,11,12,14],[1,3,8,9,10,12,14],[1,4,5,6,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,11,14],[1,5,7,9,11,13,14],[1,6,7,8,9,10,12],[2,3,6,8,9,11,14],[2,3,7,9,12,13,14],[2,4,5,7,8,10,14],[2,4,6,7,9,11,12],[2,4,7,9,10,13,14],[2,5,6,10,11,12,14],[2,5,8,10,11,12,13],[3,4,5,9,10,12,13],[3,4,6,8,11,13,14],[3,4,7,8,11,12,13],[3,5,6,7,8,10,13],[3,5,6,7,9,10,11],[4,5,6,8,9,12,14]]; G[5312]:=Group([(1,11)(3,12)(4,10)(7,14)(9,13)]); # Design 5313: autom. group order 2, simple, residual B[5313]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,13,14],[1,2,6,7,9,11,14],[1,3,5,7,11,12,13],[1,3,8,9,11,12,14],[1,4,5,6,11,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,12,13],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,5,7,9,12,14],[2,4,6,7,8,11,12],[2,4,7,8,10,13,14],[2,5,6,10,11,12,13],[2,5,8,9,10,11,12],[3,4,5,8,12,13,14],[3,4,6,9,10,11,14],[3,4,7,9,10,11,13],[3,5,6,7,8,9,10],[3,5,6,7,10,12,14],[4,5,6,8,9,11,13]]; G[5313]:=Group([(1,12)(3,11)(4,10)(7,13)]); # Design 5314: autom. group order 2, simple B[5314]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,13,14],[1,2,6,7,9,10,13],[1,3,5,9,10,12,13],[1,3,7,8,9,11,14],[1,4,5,6,7,12,14],[1,4,6,9,10,11,14],[1,4,7,8,10,11,12],[1,5,7,8,12,13,14],[1,6,8,9,11,12,13],[2,3,6,7,11,12,13],[2,3,7,9,11,12,14],[2,4,5,8,11,12,13],[2,4,6,8,9,12,14],[2,4,7,8,9,10,13],[2,5,6,8,10,11,14],[2,5,7,9,10,12,14],[3,4,5,9,11,13,14],[3,4,6,10,12,13,14],[3,4,7,8,10,13,14],[3,5,6,7,8,10,11],[3,5,6,8,9,10,12],[4,5,6,7,9,11,13]]; G[5314]:=Group([(1,13)(2,14)(5,10)(6,8)(9,12)]); # Design 5315: autom. group order 2, simple B[5315]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,12,13],[1,2,6,7,9,10,13],[1,3,5,9,10,13,14],[1,3,7,8,9,11,12],[1,4,5,6,7,11,14],[1,4,6,9,11,12,13],[1,4,7,8,12,13,14],[1,5,7,8,10,11,14],[1,6,8,9,10,12,14],[2,3,6,7,10,12,14],[2,3,7,9,11,12,14],[2,4,5,8,10,12,14],[2,4,6,8,9,11,14],[2,4,7,8,9,10,13],[2,5,6,8,11,12,13],[2,5,7,9,11,13,14],[3,4,5,9,12,13,14],[3,4,6,10,11,13,14],[3,4,7,8,10,11,13],[3,5,6,7,8,12,13],[3,5,6,8,9,10,11],[4,5,6,7,9,10,12]]; G[5315]:=Group([(1,10)(2,11)(5,13)(6,8)(9,14)]); # Design 5316: autom. group order 2, simple B[5316]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,7,9,13,14],[1,3,5,9,12,13,14],[1,3,7,8,9,11,14],[1,4,5,6,7,12,14],[1,4,6,8,10,11,14],[1,4,7,9,10,11,12],[1,5,7,8,10,12,13],[1,6,8,9,11,12,13],[2,3,6,7,11,12,13],[2,3,7,8,11,12,14],[2,4,5,9,11,12,13],[2,4,6,8,9,12,14],[2,4,7,8,9,10,13],[2,5,6,9,10,11,14],[2,5,7,8,10,12,14],[3,4,5,8,11,13,14],[3,4,6,10,12,13,14],[3,4,7,9,10,13,14],[3,5,6,7,9,10,11],[3,5,6,8,9,10,12],[4,5,6,7,8,11,13]]; G[5316]:=Group([(1,13)(2,14)(5,10)(6,9)(8,12)]); # Design 5317: autom. group order 2, simple, residual B[5317]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,7,9,12,13],[1,3,5,10,12,13,14],[1,3,7,8,11,13,14],[1,4,5,6,7,11,14],[1,4,6,8,10,12,14],[1,4,7,9,10,11,12],[1,5,7,8,9,10,14],[1,6,8,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,11,12,14],[2,4,5,8,12,13,14],[2,4,6,10,11,13,14],[2,4,7,9,10,13,14],[2,5,6,8,9,10,11],[2,5,7,8,10,11,12],[3,4,5,9,11,12,13],[3,4,6,8,9,11,14],[3,4,7,8,9,10,13],[3,5,6,7,10,11,13],[3,5,6,9,10,12,14],[4,5,6,7,8,12,13]]; G[5317]:=Group([(1,13)(3,14)(5,10)(6,9)(8,11)]); # Design 5318: autom. group order 2, simple, residual B[5318]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,13,14],[1,2,6,7,8,10,11],[1,3,5,10,11,12,13],[1,3,7,9,10,12,14],[1,4,5,6,7,12,14],[1,4,6,9,11,12,13],[1,4,7,8,11,13,14],[1,5,7,8,9,12,13],[1,6,8,9,10,11,14],[2,3,6,7,9,11,13],[2,3,7,9,11,12,14],[2,4,5,9,11,13,14],[2,4,6,10,12,13,14],[2,4,7,8,10,12,13],[2,5,6,8,9,10,12],[2,5,7,8,11,12,14],[3,4,5,8,10,11,14],[3,4,6,8,9,12,14],[3,4,7,8,9,10,13],[3,5,6,7,10,13,14],[3,5,6,8,11,12,13],[4,5,6,7,9,10,11]]; G[5318]:=Group([(1,10)(3,12)(5,13)(6,8)(9,14)]); # Design 5319: autom. group order 2, simple B[5319]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,8,12,13],[1,3,5,10,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,7,11,14],[1,4,6,9,10,12,14],[1,4,7,8,10,11,12],[1,5,7,8,9,10,14],[1,6,8,9,11,12,13],[2,3,6,7,9,10,12],[2,3,7,9,11,12,14],[2,4,5,9,12,13,14],[2,4,6,10,11,13,14],[2,4,7,8,10,13,14],[2,5,6,8,9,10,11],[2,5,7,8,11,12,14],[3,4,5,8,11,12,13],[3,4,6,8,9,11,14],[3,4,7,8,9,10,13],[3,5,6,7,10,11,13],[3,5,6,8,10,12,14],[4,5,6,7,9,12,13]]; G[5319]:=Group([(1,13)(3,14)(5,10)(6,8)(9,11)]); # Design 5320: autom. group order 2, simple B[5320]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,7,9,13,14],[1,3,5,9,12,13,14],[1,3,7,9,10,11,12],[1,4,5,6,7,12,14],[1,4,6,8,10,11,14],[1,4,7,8,9,11,14],[1,5,7,8,10,12,13],[1,6,8,9,11,12,13],[2,3,6,8,9,12,14],[2,3,7,8,11,12,14],[2,4,5,9,11,12,13],[2,4,6,7,11,12,13],[2,4,7,8,9,10,13],[2,5,6,9,10,11,14],[2,5,7,8,10,12,14],[3,4,5,8,11,13,14],[3,4,6,10,12,13,14],[3,4,7,9,10,13,14],[3,5,6,7,8,11,13],[3,5,6,7,9,10,11],[4,5,6,8,9,10,12]]; G[5320]:=Group([(1,13)(2,14)(5,10)(6,9)(8,12)]); # Design 5321: autom. group order 2, simple B[5321]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,13,14],[1,2,6,7,9,10,13],[1,3,5,9,10,12,13],[1,3,7,8,10,11,12],[1,4,5,6,7,12,14],[1,4,6,9,10,11,14],[1,4,7,8,9,11,14],[1,5,7,8,12,13,14],[1,6,8,9,11,12,13],[2,3,6,8,9,12,14],[2,3,7,9,11,12,14],[2,4,5,8,11,12,13],[2,4,6,7,11,12,13],[2,4,7,8,9,10,13],[2,5,6,8,10,11,14],[2,5,7,9,10,12,14],[3,4,5,9,11,13,14],[3,4,6,10,12,13,14],[3,4,7,8,10,13,14],[3,5,6,7,8,10,11],[3,5,6,7,9,11,13],[4,5,6,8,9,10,12]]; G[5321]:=Group([(1,13)(2,14)(5,10)(6,8)(9,12)]); # Design 5322: autom. group order 2, simple, residual B[5322]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,7,9,12,13],[1,3,5,10,12,13,14],[1,3,7,9,10,11,14],[1,4,5,6,7,11,14],[1,4,6,8,10,12,14],[1,4,7,8,9,12,14],[1,5,7,8,10,11,13],[1,6,8,9,11,12,13],[2,3,6,8,9,11,14],[2,3,7,8,11,12,14],[2,4,5,8,12,13,14],[2,4,6,10,11,13,14],[2,4,7,9,10,13,14],[2,5,6,7,9,10,12],[2,5,7,8,10,11,12],[3,4,5,9,11,12,13],[3,4,6,7,11,12,13],[3,4,7,8,9,10,13],[3,5,6,7,8,13,14],[3,5,6,9,10,12,14],[4,5,6,8,9,10,11]]; G[5322]:=Group([(1,13)(3,14)(5,10)(6,9)(8,11)]); # Design 5323: autom. group order 2, simple, residual B[5323]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,13,14],[1,2,6,7,8,11,13],[1,3,5,9,11,12,14],[1,3,7,9,10,11,13],[1,4,5,6,7,12,14],[1,4,6,8,9,10,12],[1,4,8,11,12,13,14],[1,5,7,9,10,12,13],[1,6,7,8,9,11,14],[2,3,6,9,12,13,14],[2,3,7,8,9,12,14],[2,4,5,7,9,11,13],[2,4,6,9,11,12,13],[2,4,7,8,9,10,14],[2,5,6,8,10,11,12],[2,5,7,10,11,12,14],[3,4,5,8,11,13,14],[3,4,6,7,10,11,14],[3,4,7,8,10,12,13],[3,5,6,7,8,12,13],[3,5,6,8,9,10,11],[4,5,6,9,10,13,14]]; G[5323]:=Group([(1,11)(3,12)(4,10)(7,8)(9,14)]); # Design 5324: autom. group order 2, simple B[5324]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,13,14],[1,2,6,7,8,11,13],[1,3,5,9,11,12,14],[1,3,7,8,11,12,13],[1,4,5,6,7,12,14],[1,4,6,9,10,11,14],[1,4,8,9,10,12,13],[1,5,7,9,10,12,13],[1,6,7,8,9,11,14],[2,3,6,9,12,13,14],[2,3,7,8,9,12,14],[2,4,5,7,9,11,13],[2,4,6,9,11,12,13],[2,4,7,8,9,10,14],[2,5,6,8,10,11,12],[2,5,7,10,11,12,14],[3,4,5,8,11,13,14],[3,4,6,7,8,10,12],[3,4,7,10,11,13,14],[3,5,6,7,9,10,13],[3,5,6,8,9,10,11],[4,5,6,8,12,13,14]]; G[5324]:=Group([(1,11)(3,12)(4,10)(7,8)(9,14)]); # Design 5325: autom. group order 2, simple B[5325]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,13,14],[1,2,6,7,8,11,13],[1,3,5,9,11,12,14],[1,3,7,8,11,12,13],[1,4,5,6,7,12,14],[1,4,6,8,9,10,12],[1,4,9,10,11,13,14],[1,5,7,9,10,12,13],[1,6,7,8,9,11,14],[2,3,6,9,12,13,14],[2,3,7,8,9,12,14],[2,4,5,7,9,11,13],[2,4,6,9,11,12,13],[2,4,7,8,9,10,14],[2,5,6,8,10,11,12],[2,5,7,10,11,12,14],[3,4,5,8,11,13,14],[3,4,6,7,10,11,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,13],[3,5,6,8,9,10,11],[4,5,6,8,12,13,14]]; G[5325]:=Group([(1,11)(3,12)(4,10)(7,8)(9,14)]); # Design 5326: autom. group order 2, simple B[5326]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,12,13],[1,2,6,7,9,10,13],[1,3,5,9,10,13,14],[1,3,7,8,9,11,12],[1,4,5,6,11,12,14],[1,4,6,7,9,11,13],[1,4,7,8,12,13,14],[1,5,7,8,10,11,14],[1,6,8,9,10,12,14],[2,3,6,7,10,12,14],[2,3,7,9,11,12,14],[2,4,5,7,8,10,14],[2,4,6,8,9,11,14],[2,4,8,9,10,12,13],[2,5,6,8,11,12,13],[2,5,7,9,11,13,14],[3,4,5,9,12,13,14],[3,4,6,10,11,13,14],[3,4,7,8,10,11,13],[3,5,6,7,8,12,13],[3,5,6,8,9,10,11],[4,5,6,7,9,10,12]]; G[5326]:=Group([(1,10)(2,11)(5,13)(6,8)(9,14)]); # Design 5327: autom. group order 2, simple, residual B[5327]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,7,9,12,13],[1,3,5,10,12,13,14],[1,3,7,8,11,13,14],[1,4,5,6,11,12,14],[1,4,6,7,8,10,14],[1,4,7,9,10,11,12],[1,5,7,8,9,10,14],[1,6,8,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,11,12,14],[2,4,5,8,12,13,14],[2,4,6,10,11,13,14],[2,4,7,9,10,13,14],[2,5,6,8,9,10,11],[2,5,7,8,10,11,12],[3,4,5,7,9,11,13],[3,4,6,8,9,11,14],[3,4,8,9,10,12,13],[3,5,6,7,10,11,13],[3,5,6,9,10,12,14],[4,5,6,7,8,12,13]]; G[5327]:=Group([(1,13)(3,14)(5,10)(6,9)(8,11)]); # Design 5328: autom. group order 2, simple, residual B[5328]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,13,14],[1,2,6,7,8,10,11],[1,3,5,10,11,12,13],[1,3,7,9,10,12,14],[1,4,5,6,11,12,14],[1,4,6,7,9,12,13],[1,4,7,8,11,13,14],[1,5,7,8,9,12,13],[1,6,8,9,10,11,14],[2,3,6,7,9,11,13],[2,3,7,9,11,12,14],[2,4,5,9,11,13,14],[2,4,6,10,12,13,14],[2,4,7,8,10,12,13],[2,5,6,8,9,10,12],[2,5,7,8,11,12,14],[3,4,5,7,8,10,14],[3,4,6,8,9,12,14],[3,4,8,9,10,11,13],[3,5,6,7,10,13,14],[3,5,6,8,11,12,13],[4,5,6,7,9,10,11]]; G[5328]:=Group([(1,10)(3,12)(5,13)(6,8)(9,14)]); # Design 5329: autom. group order 2, simple B[5329]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,6,7,8,10,14],[1,3,5,9,11,13,14],[1,3,7,8,11,13,14],[1,4,5,6,9,12,14],[1,4,6,7,8,12,13],[1,4,7,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,7,9,12,13],[2,3,8,9,10,12,14],[2,4,5,7,10,11,14],[2,4,6,8,9,11,14],[2,4,7,9,11,12,13],[2,5,6,11,12,13,14],[2,5,7,8,9,10,13],[3,4,5,8,10,12,13],[3,4,6,9,10,13,14],[3,4,7,8,11,12,14],[3,5,6,7,8,9,11],[3,5,6,7,10,12,14],[4,5,6,8,10,11,13]]; G[5329]:=Group([(2,10)(3,11)(4,12)(5,9)(7,8)]); # Design 5330: autom. group order 2, simple B[5330]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,6,7,8,10,14],[1,3,5,9,11,13,14],[1,3,7,8,11,13,14],[1,4,5,6,9,12,14],[1,4,6,7,8,12,13],[1,4,7,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,7,9,12,14],[2,3,8,9,10,12,14],[2,4,5,7,10,11,14],[2,4,6,8,9,11,13],[2,4,7,9,11,12,13],[2,5,6,11,12,13,14],[2,5,7,8,9,10,13],[3,4,5,8,10,12,13],[3,4,6,9,10,13,14],[3,4,7,8,11,12,14],[3,5,6,7,8,9,11],[3,5,6,7,10,12,13],[4,5,6,8,10,11,14]]; G[5330]:=Group([(2,10)(3,11)(4,12)(5,9)(7,8)]); # Design 5331: autom. group order 2, simple B[5331]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,7,9,10,14],[1,3,5,9,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,8,12,14],[1,4,6,7,9,12,13],[1,4,7,8,11,13,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,6,7,8,12,13],[2,3,8,9,11,12,14],[2,4,5,9,11,12,13],[2,4,6,8,11,13,14],[2,4,7,9,10,12,14],[2,5,6,7,11,12,14],[2,5,7,8,9,10,13],[3,4,5,7,10,11,14],[3,4,6,8,9,10,14],[3,4,7,8,10,12,13],[3,5,6,7,8,9,11],[3,5,6,10,12,13,14],[4,5,6,9,10,11,13]]; G[5331]:=Group([(2,10)(3,11)(4,12)(5,8)(7,9)]); # Design 5332: autom. group order 2, simple B[5332]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,7,9,10,14],[1,3,5,9,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,8,12,14],[1,4,6,7,9,12,13],[1,4,7,8,11,13,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,6,7,8,12,14],[2,3,8,9,11,12,14],[2,4,5,9,11,12,13],[2,4,6,8,11,13,14],[2,4,7,9,10,12,14],[2,5,6,7,11,12,13],[2,5,7,8,9,10,13],[3,4,5,7,10,11,14],[3,4,6,8,9,10,13],[3,4,7,8,10,12,13],[3,5,6,7,8,9,11],[3,5,6,10,12,13,14],[4,5,6,9,10,11,14]]; G[5332]:=Group([(2,10)(3,11)(4,12)(5,8)(7,9)]); # Design 5333: autom. group order 2, simple, residual B[5333]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,7,8,11,14],[1,3,5,8,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,9,12,13],[1,4,6,7,8,12,14],[1,4,7,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,7,9,12,13],[2,3,8,9,10,12,14],[2,4,5,9,11,12,14],[2,4,6,9,10,13,14],[2,4,7,8,11,12,13],[2,5,6,7,10,12,14],[2,5,7,8,9,11,13],[3,4,5,7,10,11,14],[3,4,6,8,9,11,14],[3,4,7,8,10,12,13],[3,5,6,7,8,9,10],[3,5,6,11,12,13,14],[4,5,6,8,10,11,13]]; G[5333]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 5334: autom. group order 2, simple, residual B[5334]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,7,8,11,14],[1,3,5,8,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,9,12,13],[1,4,6,7,8,12,14],[1,4,7,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,7,9,12,14],[2,3,8,9,10,12,14],[2,4,5,9,11,12,14],[2,4,6,9,10,13,14],[2,4,7,8,11,12,13],[2,5,6,7,10,12,13],[2,5,7,8,9,11,13],[3,4,5,7,10,11,14],[3,4,6,8,9,11,13],[3,4,7,8,10,12,13],[3,5,6,7,8,9,10],[3,5,6,11,12,13,14],[4,5,6,8,10,11,14]]; G[5334]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 5335: autom. group order 2, simple, residual B[5335]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,7,8,11,14],[1,3,5,8,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,9,12,14],[1,4,6,7,8,12,13],[1,4,7,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,7,9,12,13],[2,3,8,9,10,12,14],[2,4,5,9,11,12,13],[2,4,6,9,10,13,14],[2,4,7,8,11,12,14],[2,5,6,7,10,12,14],[2,5,7,8,9,11,13],[3,4,5,7,10,11,14],[3,4,6,8,9,11,14],[3,4,7,8,10,12,13],[3,5,6,7,8,9,10],[3,5,6,11,12,13,14],[4,5,6,8,10,11,13]]; G[5335]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 5336: autom. group order 2, simple, residual B[5336]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,7,8,11,14],[1,3,5,8,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,9,12,14],[1,4,6,7,8,12,13],[1,4,7,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,7,9,12,14],[2,3,8,9,10,12,14],[2,4,5,9,11,12,13],[2,4,6,9,10,13,14],[2,4,7,8,11,12,14],[2,5,6,7,10,12,13],[2,5,7,8,9,11,13],[3,4,5,7,10,11,14],[3,4,6,8,9,11,13],[3,4,7,8,10,12,13],[3,5,6,7,8,9,10],[3,5,6,11,12,13,14],[4,5,6,8,10,11,14]]; G[5336]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 5337: autom. group order 2, simple, residual B[5337]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,8,10,11],[1,3,5,10,12,13,14],[1,3,7,9,11,12,14],[1,4,5,6,11,12,14],[1,4,6,7,9,12,13],[1,4,7,8,9,10,14],[1,5,7,8,10,12,13],[1,6,8,9,11,13,14],[2,3,6,7,9,12,13],[2,3,8,9,10,12,14],[2,4,5,9,11,13,14],[2,4,6,10,12,13,14],[2,4,7,8,11,12,14],[2,5,6,7,9,10,14],[2,5,7,8,11,12,13],[3,4,5,7,8,13,14],[3,4,6,8,10,11,13],[3,4,7,9,10,11,13],[3,5,6,7,10,11,14],[3,5,6,8,9,11,12],[4,5,6,8,9,10,12]]; G[5337]:=Group([(1,10)(2,11)(5,13)(7,8)]); # Design 5338: autom. group order 2, simple B[5338]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,7,9,13,14],[1,3,5,9,12,13,14],[1,3,7,9,10,11,12],[1,4,5,6,11,12,14],[1,4,6,7,8,10,14],[1,4,7,8,9,11,14],[1,5,7,8,10,12,13],[1,6,8,9,11,12,13],[2,3,6,8,9,12,14],[2,3,7,8,11,12,14],[2,4,5,7,9,12,13],[2,4,6,7,11,12,13],[2,4,8,9,10,11,13],[2,5,6,9,10,11,14],[2,5,7,8,10,12,14],[3,4,5,8,11,13,14],[3,4,6,10,12,13,14],[3,4,7,9,10,13,14],[3,5,6,7,8,11,13],[3,5,6,7,9,10,11],[4,5,6,8,9,10,12]]; G[5338]:=Group([(1,13)(2,14)(5,10)(6,9)(8,12)]); # Design 5339: autom. group order 2, simple B[5339]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,13,14],[1,2,6,7,9,10,13],[1,3,5,9,10,12,13],[1,3,7,8,10,11,12],[1,4,5,6,11,12,14],[1,4,6,7,9,10,14],[1,4,7,8,9,11,14],[1,5,7,8,12,13,14],[1,6,8,9,11,12,13],[2,3,6,8,9,12,14],[2,3,7,9,11,12,14],[2,4,5,7,8,12,13],[2,4,6,7,11,12,13],[2,4,8,9,10,11,13],[2,5,6,8,10,11,14],[2,5,7,9,10,12,14],[3,4,5,9,11,13,14],[3,4,6,10,12,13,14],[3,4,7,8,10,13,14],[3,5,6,7,8,10,11],[3,5,6,7,9,11,13],[4,5,6,8,9,10,12]]; G[5339]:=Group([(1,13)(2,14)(5,10)(6,8)(9,12)]); # Design 5340: autom. group order 2, simple, residual B[5340]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,7,9,12,14],[1,3,5,11,12,13,14],[1,3,7,8,11,12,14],[1,4,5,6,9,12,14],[1,4,6,7,10,13,14],[1,4,7,8,9,10,11],[1,5,7,8,9,11,13],[1,6,8,9,10,12,13],[2,3,6,8,9,11,14],[2,3,7,9,10,13,14],[2,4,5,7,8,13,14],[2,4,6,8,11,12,13],[2,4,7,9,11,12,13],[2,5,6,7,10,11,12],[2,5,8,9,10,12,14],[3,4,5,9,10,12,13],[3,4,6,9,11,13,14],[3,4,7,8,10,12,14],[3,5,6,7,8,12,13],[3,5,6,7,9,10,11],[4,5,6,8,10,11,14]]; G[5340]:=Group([(1,11)(3,12)(5,13)(7,8)]); # Design 5341: autom. group order 2, simple B[5341]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,7,9,10,14],[1,3,5,9,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,8,12,14],[1,4,6,7,9,12,13],[1,4,7,8,11,13,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,12,13,14],[2,3,7,8,11,12,14],[2,4,5,7,11,12,13],[2,4,6,8,9,11,13],[2,4,7,9,10,12,14],[2,5,6,9,11,12,14],[2,5,7,8,9,10,13],[3,4,5,9,10,11,14],[3,4,6,7,8,10,14],[3,4,8,9,10,12,13],[3,5,6,7,8,9,11],[3,5,6,7,10,12,13],[4,5,6,10,11,13,14]]; G[5341]:=Group([(2,10)(3,11)(4,12)(5,8)(7,9)]); # Design 5342: autom. group order 2, simple B[5342]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,7,9,10,14],[1,3,5,9,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,8,12,14],[1,4,6,7,9,12,13],[1,4,7,8,11,13,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,12,13,14],[2,3,7,8,11,12,14],[2,4,5,7,11,12,13],[2,4,6,8,9,11,14],[2,4,7,9,10,12,14],[2,5,6,9,11,12,13],[2,5,7,8,9,10,13],[3,4,5,9,10,11,14],[3,4,6,7,8,10,13],[3,4,8,9,10,12,13],[3,5,6,7,8,9,11],[3,5,6,7,10,12,14],[4,5,6,10,11,13,14]]; G[5342]:=Group([(2,10)(3,11)(4,12)(5,8)(7,9)]); # Design 5343: autom. group order 2, simple, residual B[5343]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,7,8,12,14],[1,3,5,9,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,9,10,14],[1,4,6,7,9,12,13],[1,4,7,8,11,13,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,12,13,14],[2,3,7,9,10,11,14],[2,4,5,7,11,12,13],[2,4,6,8,9,11,13],[2,4,7,9,10,12,14],[2,5,6,9,11,12,14],[2,5,7,8,9,10,13],[3,4,5,8,11,12,14],[3,4,6,7,8,10,14],[3,4,8,9,10,12,13],[3,5,6,7,8,9,11],[3,5,6,7,10,12,13],[4,5,6,10,11,13,14]]; G[5343]:=Group([(2,10)(3,11)(4,12)(5,8)(7,9)]); # Design 5344: autom. group order 2, simple, residual B[5344]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,7,8,12,14],[1,3,5,9,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,9,10,14],[1,4,6,7,9,12,13],[1,4,7,8,11,13,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,12,13,14],[2,3,7,9,10,11,14],[2,4,5,7,11,12,13],[2,4,6,8,9,11,14],[2,4,7,9,10,12,14],[2,5,6,9,11,12,13],[2,5,7,8,9,10,13],[3,4,5,8,11,12,14],[3,4,6,7,8,10,13],[3,4,8,9,10,12,13],[3,5,6,7,8,9,11],[3,5,6,7,10,12,14],[4,5,6,10,11,13,14]]; G[5344]:=Group([(2,10)(3,11)(4,12)(5,8)(7,9)]); # Design 5345: autom. group order 2, simple B[5345]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,7,8,12,14],[1,3,5,9,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,9,10,14],[1,4,6,7,9,12,13],[1,4,7,8,11,13,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,12,13,14],[2,3,7,9,10,11,14],[2,4,5,7,11,12,14],[2,4,6,8,9,11,13],[2,4,7,9,10,12,13],[2,5,6,9,11,12,14],[2,5,7,8,9,10,13],[3,4,5,8,11,12,13],[3,4,6,7,8,10,14],[3,4,8,9,10,12,14],[3,5,6,7,8,9,11],[3,5,6,7,10,12,13],[4,5,6,10,11,13,14]]; G[5345]:=Group([(2,10)(3,11)(4,12)(5,8)(7,9)]); # Design 5346: autom. group order 2, simple B[5346]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,7,8,12,14],[1,3,5,9,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,9,10,14],[1,4,6,7,9,12,13],[1,4,7,8,11,13,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,12,13,14],[2,3,7,9,10,11,14],[2,4,5,7,11,12,14],[2,4,6,8,9,11,14],[2,4,7,9,10,12,13],[2,5,6,9,11,12,13],[2,5,7,8,9,10,13],[3,4,5,8,11,12,13],[3,4,6,7,8,10,13],[3,4,8,9,10,12,14],[3,5,6,7,8,9,11],[3,5,6,7,10,12,14],[4,5,6,10,11,13,14]]; G[5346]:=Group([(2,10)(3,11)(4,12)(5,8)(7,9)]); # Design 5347: autom. group order 2, simple, residual B[5347]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,9,11,12],[1,3,5,8,11,13,14],[1,3,7,9,10,11,14],[1,4,5,6,9,12,14],[1,4,6,7,8,10,13],[1,4,7,8,10,12,14],[1,5,7,9,10,11,13],[1,6,8,9,12,13,14],[2,3,6,8,9,10,13],[2,3,7,8,9,12,14],[2,4,5,10,12,13,14],[2,4,6,7,11,13,14],[2,4,8,9,10,11,14],[2,5,6,7,8,11,14],[2,5,7,9,10,12,13],[3,4,5,7,9,13,14],[3,4,6,9,11,12,13],[3,4,7,8,11,12,13],[3,5,6,7,8,10,12],[3,5,6,10,11,12,14],[4,5,6,8,9,10,11]]; G[5347]:=Group([(1,11)(2,12)(5,13)(7,9)]); # Design 5348: autom. group order 2, simple B[5348]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,6,7,8,10,14],[1,3,5,9,11,13,14],[1,3,7,8,11,13,14],[1,4,5,6,9,12,14],[1,4,6,7,8,12,13],[1,4,7,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,9,12,13,14],[2,3,7,9,10,12,14],[2,4,5,8,10,11,14],[2,4,6,7,9,11,13],[2,4,8,9,11,12,13],[2,5,6,7,11,12,14],[2,5,7,8,9,10,13],[3,4,5,7,10,12,13],[3,4,6,8,9,10,14],[3,4,7,8,11,12,14],[3,5,6,7,8,9,11],[3,5,6,8,10,12,13],[4,5,6,10,11,13,14]]; G[5348]:=Group([(2,10)(3,11)(4,12)(5,9)(7,8)]); # Design 5349: autom. group order 2, simple B[5349]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,6,7,8,10,14],[1,3,5,9,11,13,14],[1,3,7,8,11,13,14],[1,4,5,6,9,12,14],[1,4,6,7,8,12,13],[1,4,7,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,9,12,13,14],[2,3,7,9,10,12,14],[2,4,5,8,10,11,14],[2,4,6,7,9,11,14],[2,4,8,9,11,12,13],[2,5,6,7,11,12,13],[2,5,7,8,9,10,13],[3,4,5,7,10,12,13],[3,4,6,8,9,10,13],[3,4,7,8,11,12,14],[3,5,6,7,8,9,11],[3,5,6,8,10,12,14],[4,5,6,10,11,13,14]]; G[5349]:=Group([(2,10)(3,11)(4,12)(5,9)(7,8)]); # Design 5350: autom. group order 2, simple, residual B[5350]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,9,11,13],[1,3,5,8,12,13,14],[1,3,7,9,10,13,14],[1,4,5,6,9,11,14],[1,4,6,7,8,10,12],[1,4,7,8,10,11,14],[1,5,7,9,10,12,13],[1,6,8,9,11,12,14],[2,3,6,8,9,10,12],[2,3,7,8,9,11,14],[2,4,5,10,11,13,14],[2,4,6,9,12,13,14],[2,4,7,8,12,13,14],[2,5,6,7,8,10,14],[2,5,7,9,10,11,12],[3,4,5,7,9,12,14],[3,4,6,7,11,12,13],[3,4,8,9,10,11,13],[3,5,6,7,8,11,13],[3,5,6,10,11,12,14],[4,5,6,8,9,10,13]]; G[5350]:=Group([(1,13)(3,14)(5,12)(7,9)]); # Design 5351: autom. group order 2, simple, residual B[5351]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,7,9,12,13],[1,3,5,10,12,13,14],[1,3,7,9,10,11,14],[1,4,5,6,11,12,14],[1,4,6,7,8,10,14],[1,4,7,8,9,12,14],[1,5,7,8,10,11,13],[1,6,8,9,11,12,13],[2,3,6,8,9,11,14],[2,3,7,8,11,12,14],[2,4,5,8,12,13,14],[2,4,6,10,11,13,14],[2,4,7,9,10,13,14],[2,5,6,7,9,10,12],[2,5,7,8,10,11,12],[3,4,5,7,9,11,13],[3,4,6,7,11,12,13],[3,4,8,9,10,12,13],[3,5,6,7,8,13,14],[3,5,6,9,10,12,14],[4,5,6,8,9,10,11]]; G[5351]:=Group([(1,13)(3,14)(5,10)(6,9)(8,11)]); # Design 5352: autom. group order 2, simple, residual B[5352]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,8,10,11],[1,3,5,10,12,13,14],[1,3,7,9,11,12,14],[1,4,5,6,11,12,14],[1,4,6,7,9,12,13],[1,4,8,9,11,13,14],[1,5,7,8,10,12,13],[1,6,7,8,9,10,14],[2,3,6,7,9,12,13],[2,3,8,9,10,12,14],[2,4,5,7,9,10,14],[2,4,6,10,12,13,14],[2,4,7,8,11,12,14],[2,5,6,9,11,13,14],[2,5,7,8,11,12,13],[3,4,5,7,8,13,14],[3,4,6,8,10,11,13],[3,4,7,9,10,11,13],[3,5,6,7,10,11,14],[3,5,6,8,9,11,12],[4,5,6,8,9,10,12]]; G[5352]:=Group([(1,10)(2,11)(5,13)(7,8)]); # Design 5353: autom. group order 2, simple, residual B[5353]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,7,9,11,14],[1,3,5,11,12,13,14],[1,3,7,8,11,12,14],[1,4,5,6,9,12,14],[1,4,6,7,10,12,13],[1,4,8,9,10,13,14],[1,5,7,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,8,9,12,14],[2,3,7,9,10,13,14],[2,4,5,7,8,13,14],[2,4,6,8,11,12,13],[2,4,7,9,11,12,13],[2,5,6,7,10,12,14],[2,5,8,9,10,11,12],[3,4,5,7,9,10,11],[3,4,6,9,11,13,14],[3,4,7,8,10,12,14],[3,5,6,7,8,11,13],[3,5,6,9,10,12,13],[4,5,6,8,10,11,14]]; G[5353]:=Group([(1,11)(3,12)(5,13)(6,9)]); # Design 5354: autom. group order 2, simple, residual B[5354]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,7,9,12,14],[1,3,5,11,12,13,14],[1,3,7,8,11,12,14],[1,4,5,6,9,12,14],[1,4,6,7,10,13,14],[1,4,8,9,10,12,13],[1,5,7,8,9,11,13],[1,6,7,8,9,10,11],[2,3,6,8,9,11,14],[2,3,7,9,10,13,14],[2,4,5,7,8,13,14],[2,4,6,8,11,12,13],[2,4,7,9,11,12,13],[2,5,6,7,10,11,12],[2,5,8,9,10,12,14],[3,4,5,7,9,10,11],[3,4,6,9,11,13,14],[3,4,7,8,10,12,14],[3,5,6,7,8,12,13],[3,5,6,9,10,12,13],[4,5,6,8,10,11,14]]; G[5354]:=Group([(1,11)(3,12)(5,13)(7,8)]); # Design 5355: autom. group order 2, simple B[5355]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,9,12,13],[1,3,5,9,11,13,14],[1,3,7,9,12,13,14],[1,4,5,6,8,12,14],[1,4,6,7,9,10,11],[1,4,8,9,10,12,14],[1,5,7,8,11,12,13],[1,6,7,8,10,11,14],[2,3,6,8,9,11,12],[2,3,7,8,10,12,14],[2,4,5,7,10,13,14],[2,4,6,11,12,13,14],[2,4,8,9,11,13,14],[2,5,6,7,8,9,14],[2,5,7,9,10,11,12],[3,4,5,7,11,12,14],[3,4,6,7,8,11,13],[3,4,7,8,9,10,13],[3,5,6,8,10,12,13],[3,5,6,9,10,11,14],[4,5,6,9,10,12,13]]; G[5355]:=Group([(1,13)(3,14)(5,11)(7,12)]); # Design 5356: autom. group order 2, simple, residual B[5356]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,9,12,13],[1,3,5,9,11,13,14],[1,3,7,8,12,13,14],[1,4,5,6,8,12,14],[1,4,6,7,9,10,11],[1,4,8,9,10,12,14],[1,5,7,9,11,12,13],[1,6,7,8,10,11,14],[2,3,6,8,9,11,12],[2,3,7,9,10,12,14],[2,4,5,7,10,13,14],[2,4,6,11,12,13,14],[2,4,8,9,11,13,14],[2,5,6,7,8,9,14],[2,5,7,8,10,11,12],[3,4,5,7,11,12,14],[3,4,6,7,8,11,13],[3,4,7,8,9,10,13],[3,5,6,8,10,12,13],[3,5,6,9,10,11,14],[4,5,6,9,10,12,13]]; G[5356]:=Group([(1,13)(3,14)(5,11)(7,12)]); # Design 5357: autom. group order 2, simple B[5357]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,9,10,14],[1,3,5,11,12,13,14],[1,3,7,8,10,13,14],[1,4,5,6,9,12,14],[1,4,6,7,8,11,12],[1,4,8,9,10,11,13],[1,5,7,8,10,12,14],[1,6,7,9,11,12,13],[2,3,6,8,10,11,12],[2,3,7,9,11,12,14],[2,4,5,7,11,13,14],[2,4,6,10,12,13,14],[2,4,8,9,12,13,14],[2,5,6,7,8,11,13],[2,5,7,8,9,10,12],[3,4,5,7,10,12,13],[3,4,6,7,9,10,13],[3,4,7,8,9,11,14],[3,5,6,8,9,12,13],[3,5,6,9,10,11,14],[4,5,6,8,10,11,14]]; G[5357]:=Group([(1,14)(3,13)(5,12)(7,10)]); # Design 5358: autom. group order 2, simple, residual B[5358]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,9,12,13],[1,3,5,9,11,13,14],[1,3,7,8,12,13,14],[1,4,5,6,8,12,14],[1,4,6,9,10,11,12],[1,4,7,8,9,10,14],[1,5,7,9,11,12,13],[1,6,7,8,10,11,14],[2,3,6,7,8,9,11],[2,3,7,9,10,12,14],[2,4,5,7,10,13,14],[2,4,6,11,12,13,14],[2,4,8,9,11,13,14],[2,5,6,8,9,12,14],[2,5,7,8,10,11,12],[3,4,5,7,11,12,14],[3,4,6,7,8,11,13],[3,4,8,9,10,12,13],[3,5,6,8,10,12,13],[3,5,6,9,10,11,14],[4,5,6,7,9,10,13]]; G[5358]:=Group([(1,13)(3,14)(5,11)(7,12)]); # Design 5359: autom. group order 2, simple B[5359]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,7,8,12,13],[1,3,5,10,11,12,14],[1,3,7,8,9,11,14],[1,4,5,6,11,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,12,13],[1,5,7,9,12,13,14],[1,6,7,8,10,11,14],[2,3,6,7,9,12,14],[2,3,7,9,10,11,13],[2,4,5,7,10,13,14],[2,4,6,9,11,12,14],[2,4,8,11,12,13,14],[2,5,6,8,9,10,14],[2,5,7,8,10,11,12],[3,4,5,7,8,12,14],[3,4,6,7,8,11,13],[3,4,8,9,10,13,14],[3,5,6,8,10,12,13],[3,5,6,9,11,12,13],[4,5,6,7,9,10,11]]; G[5359]:=Group([(1,12)(3,11)(5,14)(6,8)(7,13)]); # Design 5360: autom. group order 2, simple B[5360]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,9,12,13],[1,3,5,10,11,12,14],[1,3,7,8,9,10,14],[1,4,5,6,10,13,14],[1,4,6,8,9,11,12],[1,4,7,8,11,12,13],[1,5,7,8,12,13,14],[1,6,7,9,10,11,14],[2,3,6,7,11,12,14],[2,3,7,8,10,11,13],[2,4,5,7,11,13,14],[2,4,6,8,10,12,14],[2,4,9,10,12,13,14],[2,5,6,8,9,11,14],[2,5,7,8,9,10,12],[3,4,5,7,9,12,14],[3,4,6,7,9,10,13],[3,4,8,9,11,13,14],[3,5,6,8,10,12,13],[3,5,6,9,11,12,13],[4,5,6,7,8,10,11]]; G[5360]:=Group([(1,12)(3,10)(5,14)(6,9)(7,13)]); # Design 5361: autom. group order 2, simple B[5361]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,9,10,14],[1,3,5,11,12,13,14],[1,3,7,8,10,13,14],[1,4,5,6,9,12,14],[1,4,6,8,10,11,12],[1,4,7,8,9,11,13],[1,5,7,8,10,12,14],[1,6,7,9,11,12,13],[2,3,6,7,8,11,12],[2,3,7,9,11,12,14],[2,4,5,7,11,13,14],[2,4,6,10,12,13,14],[2,4,8,9,12,13,14],[2,5,6,8,10,11,13],[2,5,7,8,9,10,12],[3,4,5,7,10,12,13],[3,4,6,7,9,10,13],[3,4,8,9,10,11,14],[3,5,6,8,9,12,13],[3,5,6,9,10,11,14],[4,5,6,7,8,11,14]]; G[5361]:=Group([(1,14)(3,13)(5,12)(7,10)]); # Design 5362: autom. group order 2, simple B[5362]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,11,14],[1,2,6,7,8,12,14],[1,3,5,11,12,13,14],[1,3,7,9,10,13,14],[1,4,5,6,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,9,11,14],[1,5,7,8,9,12,13],[1,6,7,8,10,11,12],[2,3,6,7,9,13,14],[2,3,8,9,11,12,14],[2,4,5,7,10,12,14],[2,4,6,8,11,13,14],[2,4,7,9,10,12,13],[2,5,6,9,11,12,13],[2,5,7,8,10,11,13],[3,4,5,7,8,11,13],[3,4,6,7,9,11,12],[3,4,8,10,12,13,14],[3,5,6,7,10,11,14],[3,5,6,8,9,10,12],[4,5,6,8,9,10,14]]; G[5362]:=Group([(1,12)(2,4)(3,10)(5,7)(6,14)(8,13)]); # Design 5363: autom. group order 2, simple B[5363]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,11,14],[1,2,6,7,8,12,14],[1,3,5,11,12,13,14],[1,3,7,9,10,13,14],[1,4,5,6,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,9,11,14],[1,5,7,8,9,12,13],[1,6,7,8,10,11,12],[2,3,6,7,11,13,14],[2,3,8,9,11,12,14],[2,4,5,7,10,12,14],[2,4,6,8,9,13,14],[2,4,7,9,10,12,13],[2,5,6,9,11,12,13],[2,5,7,8,10,11,13],[3,4,5,7,8,11,13],[3,4,6,7,9,11,12],[3,4,8,10,12,13,14],[3,5,6,7,9,10,14],[3,5,6,8,9,10,12],[4,5,6,8,10,11,14]]; G[5363]:=Group([(1,12)(2,4)(3,10)(5,7)(6,14)(8,13)]); # Design 5364: autom. group order 2, simple B[5364]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,7,8,12,13],[1,3,5,10,11,12,14],[1,3,7,9,11,12,13],[1,4,5,6,11,13,14],[1,4,6,8,9,10,12],[1,4,7,8,9,10,14],[1,5,7,9,12,13,14],[1,6,7,8,10,11,14],[2,3,6,7,9,12,14],[2,3,8,9,10,13,14],[2,4,5,7,10,13,14],[2,4,6,9,11,12,14],[2,4,8,11,12,13,14],[2,5,6,7,9,10,11],[2,5,7,8,10,11,12],[3,4,5,7,8,12,14],[3,4,6,7,8,11,13],[3,4,7,9,10,11,13],[3,5,6,8,9,11,14],[3,5,6,8,10,12,13],[4,5,6,9,10,12,13]]; G[5364]:=Group([(1,12)(3,11)(5,14)(6,8)(7,13)]); # Design 5365: autom. group order 2, simple, residual B[5365]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,7,8,12,13],[1,3,5,10,11,12,14],[1,3,7,9,11,12,13],[1,4,5,6,8,12,14],[1,4,6,9,10,11,13],[1,4,7,8,9,10,14],[1,5,7,9,12,13,14],[1,6,7,8,10,11,14],[2,3,6,7,9,12,14],[2,3,8,9,10,13,14],[2,4,5,7,10,13,14],[2,4,6,9,11,12,14],[2,4,8,11,12,13,14],[2,5,6,7,9,10,11],[2,5,7,8,10,11,12],[3,4,5,7,11,13,14],[3,4,6,7,8,11,13],[3,4,7,8,9,10,12],[3,5,6,8,9,11,14],[3,5,6,8,10,12,13],[4,5,6,9,10,12,13]]; G[5365]:=Group([(1,12)(3,11)(5,14)(6,8)(7,13)]); # Design 5366: autom. group order 2, simple, residual B[5366]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,7,8,12,13],[1,3,5,10,11,12,14],[1,3,7,8,9,11,14],[1,4,5,6,11,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,12,13],[1,5,7,9,12,13,14],[1,6,7,8,10,11,14],[2,3,6,7,9,12,14],[2,3,8,9,10,13,14],[2,4,5,7,10,13,14],[2,4,6,9,11,12,14],[2,4,8,11,12,13,14],[2,5,6,7,9,10,11],[2,5,7,8,10,11,12],[3,4,5,7,8,12,14],[3,4,6,7,8,11,13],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[3,5,6,9,11,12,13],[4,5,6,8,9,10,14]]; G[5366]:=Group([(1,12)(3,11)(5,14)(6,8)(7,13)]); # Design 5367: autom. group order 2, simple, residual B[5367]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,7,8,12,13],[1,3,5,10,11,12,14],[1,3,7,8,9,11,14],[1,4,5,6,8,12,14],[1,4,6,9,10,11,13],[1,4,7,9,10,12,13],[1,5,7,9,12,13,14],[1,6,7,8,10,11,14],[2,3,6,7,9,12,14],[2,3,8,9,10,13,14],[2,4,5,7,10,13,14],[2,4,6,9,11,12,14],[2,4,8,11,12,13,14],[2,5,6,7,9,10,11],[2,5,7,8,10,11,12],[3,4,5,7,11,13,14],[3,4,6,7,8,11,13],[3,4,7,8,9,10,12],[3,5,6,8,10,12,13],[3,5,6,9,11,12,13],[4,5,6,8,9,10,14]]; G[5367]:=Group([(1,12)(3,11)(5,14)(6,8)(7,13)]); # Design 5368: autom. group order 2, simple, residual B[5368]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,9,12,13],[1,3,5,10,11,12,14],[1,3,7,8,9,10,14],[1,4,5,6,10,13,14],[1,4,6,8,9,11,12],[1,4,7,8,11,12,13],[1,5,7,8,12,13,14],[1,6,7,9,10,11,14],[2,3,6,7,11,12,14],[2,3,8,9,11,13,14],[2,4,5,7,11,13,14],[2,4,6,8,10,12,14],[2,4,9,10,12,13,14],[2,5,6,7,8,10,11],[2,5,7,8,9,10,12],[3,4,5,7,9,12,14],[3,4,6,7,9,10,13],[3,4,7,8,10,11,13],[3,5,6,8,10,12,13],[3,5,6,9,11,12,13],[4,5,6,8,9,11,14]]; G[5368]:=Group([(1,12)(3,10)(5,14)(6,9)(7,13)]); # Design 5369: autom. group order 2, simple B[5369]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,9,12,13],[1,3,5,10,11,12,14],[1,3,7,8,10,12,13],[1,4,5,6,10,13,14],[1,4,6,8,9,11,12],[1,4,7,8,9,11,14],[1,5,7,8,12,13,14],[1,6,7,9,10,11,14],[2,3,6,7,11,12,14],[2,3,8,9,11,13,14],[2,4,5,7,11,13,14],[2,4,6,8,10,12,14],[2,4,9,10,12,13,14],[2,5,6,7,8,10,11],[2,5,7,8,9,10,12],[3,4,5,7,9,12,14],[3,4,6,7,9,10,13],[3,4,7,8,10,11,13],[3,5,6,8,9,10,14],[3,5,6,9,11,12,13],[4,5,6,8,11,12,13]]; G[5369]:=Group([(1,12)(3,10)(5,14)(6,9)(7,13)]); # Design 5370: autom. group order 2, simple, residual B[5370]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,7,8,12,13],[1,3,5,10,11,12,14],[1,3,7,8,11,13,14],[1,4,5,6,8,12,14],[1,4,6,9,10,11,13],[1,4,7,9,11,13,14],[1,5,7,9,10,12,14],[1,6,7,8,9,10,12],[2,3,6,9,12,13,14],[2,3,7,8,9,10,14],[2,4,5,7,10,13,14],[2,4,6,9,11,12,14],[2,4,7,8,11,12,14],[2,5,6,7,9,10,11],[2,5,8,10,11,12,13],[3,4,5,7,9,12,13],[3,4,6,7,8,10,11],[3,4,8,9,10,12,13],[3,5,6,7,11,12,13],[3,5,6,8,9,11,14],[4,5,6,8,10,13,14]]; G[5370]:=Group([(1,12)(3,11)(5,14)(6,8)]); # Design 5371: autom. group order 2, simple, residual B[5371]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,9,12,13],[1,3,5,10,11,12,14],[1,3,7,9,10,13,14],[1,4,5,6,9,12,14],[1,4,6,8,10,11,13],[1,4,7,8,10,13,14],[1,5,7,8,11,12,14],[1,6,7,8,9,11,12],[2,3,6,11,12,13,14],[2,3,7,8,9,11,14],[2,4,5,7,11,13,14],[2,4,6,8,10,12,14],[2,4,7,9,10,12,14],[2,5,6,7,8,10,11],[2,5,8,9,10,12,13],[3,4,5,7,8,12,13],[3,4,6,7,9,10,11],[3,4,8,9,11,12,13],[3,5,6,7,10,12,13],[3,5,6,8,9,10,14],[4,5,6,9,11,13,14]]; G[5371]:=Group([(1,12)(3,10)(5,14)(6,9)]); # Design 5372: autom. group order 2, simple B[5372]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,9,12,13,14],[1,3,5,7,9,13,14],[1,3,7,8,9,10,12],[1,4,5,6,11,12,14],[1,4,6,7,8,10,14],[1,4,7,8,11,12,13],[1,5,9,10,11,12,14],[1,6,7,8,9,11,13],[2,3,6,7,9,11,14],[2,3,7,8,11,12,14],[2,4,5,8,9,11,13],[2,4,6,8,9,12,14],[2,4,7,9,10,12,13],[2,5,6,7,10,12,13],[2,5,7,8,10,11,14],[3,4,5,7,12,13,14],[3,4,6,8,10,13,14],[3,4,9,10,11,13,14],[3,5,6,8,9,10,12],[3,5,6,8,11,12,13],[4,5,6,7,9,10,11]]; G[5372]:=Group([(1,13)(2,14)(5,10)(6,9)(7,11)]); # Design 5373: autom. group order 2, simple B[5373]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,9,12,13,14],[1,3,5,7,9,13,14],[1,3,7,8,9,10,12],[1,4,5,6,8,11,14],[1,4,6,7,10,12,14],[1,4,7,8,11,12,13],[1,5,9,10,11,12,14],[1,6,7,8,9,11,13],[2,3,6,7,9,11,14],[2,3,7,8,11,12,14],[2,4,5,9,11,12,13],[2,4,6,8,9,12,14],[2,4,7,8,9,10,13],[2,5,6,7,10,12,13],[2,5,7,8,10,11,14],[3,4,5,7,12,13,14],[3,4,6,8,10,13,14],[3,4,9,10,11,13,14],[3,5,6,8,9,10,12],[3,5,6,8,11,12,13],[4,5,6,7,9,10,11]]; G[5373]:=Group([(1,13)(2,14)(5,10)(6,9)(7,11)]); # Design 5374: autom. group order 2, simple, residual B[5374]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,12,13],[1,2,6,9,10,13,14],[1,3,5,7,9,10,13],[1,3,7,8,11,13,14],[1,4,5,6,11,12,14],[1,4,6,7,8,10,11],[1,4,7,8,9,12,14],[1,5,8,9,10,12,14],[1,6,7,9,11,12,13],[2,3,6,8,9,11,12],[2,3,7,9,11,12,14],[2,4,5,7,12,13,14],[2,4,6,7,9,10,14],[2,4,8,10,11,13,14],[2,5,6,7,8,12,13],[2,5,7,8,9,10,11],[3,4,5,9,11,13,14],[3,4,6,9,10,12,13],[3,4,7,8,10,12,13],[3,5,6,7,10,11,14],[3,5,6,8,10,12,14],[4,5,6,8,9,11,13]]; G[5374]:=Group([(1,10)(2,12)(5,13)(6,8)]); # Design 5375: autom. group order 2, simple, residual B[5375]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,9,12,13,14],[1,3,5,7,9,13,14],[1,3,7,8,9,10,12],[1,4,5,6,11,12,14],[1,4,6,7,8,10,14],[1,4,7,8,11,12,13],[1,5,9,10,11,12,14],[1,6,7,8,9,11,13],[2,3,6,8,9,12,14],[2,3,7,8,11,12,14],[2,4,5,8,9,11,13],[2,4,6,7,9,11,14],[2,4,7,9,10,12,13],[2,5,6,7,10,12,13],[2,5,7,8,10,11,14],[3,4,5,7,12,13,14],[3,4,6,8,10,13,14],[3,4,9,10,11,13,14],[3,5,6,7,9,10,11],[3,5,6,8,11,12,13],[4,5,6,8,9,10,12]]; G[5375]:=Group([(1,13)(2,14)(5,10)(6,9)(7,11)]); # Design 5376: autom. group order 2, simple, residual B[5376]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,9,12,13,14],[1,3,5,7,9,13,14],[1,3,7,8,11,12,13],[1,4,5,6,11,12,14],[1,4,6,7,8,10,14],[1,4,7,8,9,10,12],[1,5,9,10,11,12,14],[1,6,7,8,9,11,13],[2,3,6,8,9,12,14],[2,3,7,8,11,12,14],[2,4,5,8,9,11,13],[2,4,6,7,9,11,14],[2,4,7,9,10,12,13],[2,5,6,7,10,12,13],[2,5,7,8,10,11,14],[3,4,5,7,12,13,14],[3,4,6,8,10,13,14],[3,4,9,10,11,13,14],[3,5,6,7,9,10,11],[3,5,6,8,9,10,12],[4,5,6,8,11,12,13]]; G[5376]:=Group([(1,13)(2,14)(5,10)(6,9)(7,11)]); # Design 5377: autom. group order 2, simple, residual B[5377]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,9,12,13,14],[1,3,5,7,9,13,14],[1,3,7,8,9,10,12],[1,4,5,6,8,11,14],[1,4,6,7,10,12,14],[1,4,7,8,11,12,13],[1,5,9,10,11,12,14],[1,6,7,8,9,11,13],[2,3,6,8,9,12,14],[2,3,7,8,11,12,14],[2,4,5,9,11,12,13],[2,4,6,7,9,11,14],[2,4,7,8,9,10,13],[2,5,6,7,10,12,13],[2,5,7,8,10,11,14],[3,4,5,7,12,13,14],[3,4,6,8,10,13,14],[3,4,9,10,11,13,14],[3,5,6,7,9,10,11],[3,5,6,8,11,12,13],[4,5,6,8,9,10,12]]; G[5377]:=Group([(1,13)(2,14)(5,10)(6,9)(7,11)]); # Design 5378: autom. group order 2, simple B[5378]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,10,12,13,14],[1,2,6,8,9,13,14],[1,3,5,7,8,13,14],[1,3,7,8,9,10,12],[1,4,5,6,9,11,14],[1,4,6,7,10,12,14],[1,4,8,9,11,12,14],[1,5,7,9,10,11,13],[1,6,7,8,11,12,13],[2,3,6,7,8,11,14],[2,3,7,9,11,12,14],[2,4,5,8,11,12,13],[2,4,6,7,9,12,13],[2,4,7,8,9,10,13],[2,5,6,8,10,12,14],[2,5,7,9,10,11,14],[3,4,5,7,12,13,14],[3,4,6,9,10,13,14],[3,4,8,10,11,13,14],[3,5,6,8,9,10,12],[3,5,6,9,11,12,13],[4,5,6,7,8,10,11]]; G[5378]:=Group([(1,13)(2,14)(5,10)(6,8)(7,11)]); # Design 5379: autom. group order 2, simple B[5379]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,10,12,13,14],[1,2,6,8,9,13,14],[1,3,5,7,8,13,14],[1,3,7,8,9,10,12],[1,4,5,6,11,12,14],[1,4,6,7,9,10,14],[1,4,8,9,11,12,14],[1,5,7,9,10,11,13],[1,6,7,8,11,12,13],[2,3,6,7,8,11,14],[2,3,7,9,11,12,14],[2,4,5,8,9,11,13],[2,4,6,7,9,12,13],[2,4,7,8,10,12,13],[2,5,6,8,10,12,14],[2,5,7,9,10,11,14],[3,4,5,7,12,13,14],[3,4,6,9,10,13,14],[3,4,8,10,11,13,14],[3,5,6,8,9,10,12],[3,5,6,9,11,12,13],[4,5,6,7,8,10,11]]; G[5379]:=Group([(1,13)(2,14)(5,10)(6,8)(7,11)]); # Design 5380: autom. group order 2, simple B[5380]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,9,12,13,14],[1,3,5,7,9,13,14],[1,3,7,8,9,10,12],[1,4,5,6,11,12,14],[1,4,6,7,8,10,14],[1,4,8,9,11,12,14],[1,5,7,10,11,12,13],[1,6,7,8,9,11,13],[2,3,6,7,9,11,14],[2,3,7,8,11,12,14],[2,4,5,8,9,11,13],[2,4,6,7,8,12,13],[2,4,7,9,10,12,13],[2,5,6,9,10,12,14],[2,5,7,8,10,11,14],[3,4,5,7,12,13,14],[3,4,6,8,10,13,14],[3,4,9,10,11,13,14],[3,5,6,8,9,10,12],[3,5,6,8,11,12,13],[4,5,6,7,9,10,11]]; G[5380]:=Group([(1,13)(2,14)(5,10)(6,9)(7,11)]); # Design 5381: autom. group order 2, simple B[5381]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,9,12,13,14],[1,3,5,7,9,13,14],[1,3,7,8,9,10,12],[1,4,5,6,8,11,14],[1,4,6,7,10,12,14],[1,4,8,9,11,12,14],[1,5,7,10,11,12,13],[1,6,7,8,9,11,13],[2,3,6,7,9,11,14],[2,3,7,8,11,12,14],[2,4,5,9,11,12,13],[2,4,6,7,8,12,13],[2,4,7,8,9,10,13],[2,5,6,9,10,12,14],[2,5,7,8,10,11,14],[3,4,5,7,12,13,14],[3,4,6,8,10,13,14],[3,4,9,10,11,13,14],[3,5,6,8,9,10,12],[3,5,6,8,11,12,13],[4,5,6,7,9,10,11]]; G[5381]:=Group([(1,13)(2,14)(5,10)(6,9)(7,11)]); # Design 5382: autom. group order 2, simple B[5382]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,13,14],[1,2,6,10,11,12,13],[1,3,5,7,10,11,13],[1,3,7,8,9,10,12],[1,4,5,6,9,11,14],[1,4,6,7,10,12,14],[1,4,8,9,11,12,14],[1,5,7,8,12,13,14],[1,6,7,8,9,11,13],[2,3,6,7,8,11,14],[2,3,7,9,11,12,14],[2,4,5,8,11,12,13],[2,4,6,7,9,12,13],[2,4,7,8,9,10,13],[2,5,6,8,10,12,14],[2,5,7,9,10,11,14],[3,4,5,7,12,13,14],[3,4,6,9,10,13,14],[3,4,8,10,11,13,14],[3,5,6,8,9,10,12],[3,5,6,9,11,12,13],[4,5,6,7,8,10,11]]; G[5382]:=Group([(1,13)(2,14)(5,10)(6,8)(7,11)]); # Design 5383: autom. group order 2, simple B[5383]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,13,14],[1,2,6,10,11,12,13],[1,3,5,7,10,11,13],[1,3,7,8,9,10,12],[1,4,5,6,11,12,14],[1,4,6,7,9,10,14],[1,4,8,9,11,12,14],[1,5,7,8,12,13,14],[1,6,7,8,9,11,13],[2,3,6,7,8,11,14],[2,3,7,9,11,12,14],[2,4,5,8,9,11,13],[2,4,6,7,9,12,13],[2,4,7,8,10,12,13],[2,5,6,8,10,12,14],[2,5,7,9,10,11,14],[3,4,5,7,12,13,14],[3,4,6,9,10,13,14],[3,4,8,10,11,13,14],[3,5,6,8,9,10,12],[3,5,6,9,11,12,13],[4,5,6,7,8,10,11]]; G[5383]:=Group([(1,13)(2,14)(5,10)(6,8)(7,11)]); # Design 5384: autom. group order 2, simple B[5384]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,13,14],[1,2,6,9,10,12,13],[1,3,5,7,10,12,13],[1,3,7,8,9,10,11],[1,4,5,6,9,12,14],[1,4,6,7,10,11,14],[1,4,8,9,11,12,14],[1,5,7,8,9,13,14],[1,6,7,8,11,12,13],[2,3,6,7,8,12,14],[2,3,7,9,11,12,14],[2,4,5,8,11,12,13],[2,4,6,7,9,11,13],[2,4,7,8,9,10,13],[2,5,6,8,10,11,14],[2,5,7,9,10,12,14],[3,4,5,7,11,13,14],[3,4,6,9,10,13,14],[3,4,8,10,12,13,14],[3,5,6,8,9,10,11],[3,5,6,9,11,12,13],[4,5,6,7,8,10,12]]; G[5384]:=Group([(1,13)(2,14)(5,10)(6,8)(7,12)]); # Design 5385: autom. group order 2, simple B[5385]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,13,14],[1,2,6,9,10,12,13],[1,3,5,7,10,12,13],[1,3,7,8,9,10,11],[1,4,5,6,11,12,14],[1,4,6,7,9,10,14],[1,4,8,9,11,12,14],[1,5,7,8,9,13,14],[1,6,7,8,11,12,13],[2,3,6,7,8,12,14],[2,3,7,9,11,12,14],[2,4,5,8,9,12,13],[2,4,6,7,9,11,13],[2,4,7,8,10,11,13],[2,5,6,8,10,11,14],[2,5,7,9,10,12,14],[3,4,5,7,11,13,14],[3,4,6,9,10,13,14],[3,4,8,10,12,13,14],[3,5,6,8,9,10,11],[3,5,6,9,11,12,13],[4,5,6,7,8,10,12]]; G[5385]:=Group([(1,13)(2,14)(5,10)(6,8)(7,12)]); # Design 5386: autom. group order 2, simple, residual B[5386]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,13,14],[1,2,6,8,9,11,13],[1,3,5,7,9,11,14],[1,3,7,8,11,12,13],[1,4,5,6,11,12,13],[1,4,6,7,10,12,14],[1,4,8,9,12,13,14],[1,5,7,9,10,11,14],[1,6,7,8,9,10,12],[2,3,6,9,11,12,14],[2,3,7,9,10,12,13],[2,4,5,7,12,13,14],[2,4,6,7,8,9,14],[2,4,7,9,10,11,13],[2,5,6,7,8,11,12],[2,5,8,10,11,12,14],[3,4,5,8,9,10,12],[3,4,6,8,10,11,14],[3,4,7,8,11,13,14],[3,5,6,7,8,10,13],[3,5,6,9,12,13,14],[4,5,6,9,10,11,13]]; G[5386]:=Group([(1,7)(2,13)(4,8)(5,11)(6,12)(9,14)]); # Design 5387: autom. group order 2, simple B[5387]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,8,9,12,14],[1,3,5,7,10,12,13],[1,3,7,8,11,12,14],[1,4,5,6,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,11,14],[1,5,7,9,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,8,11,13],[2,3,7,9,12,13,14],[2,4,5,7,8,10,14],[2,4,6,7,9,11,12],[2,4,7,9,10,13,14],[2,5,6,10,11,12,14],[2,5,8,10,11,12,13],[3,4,5,9,11,12,14],[3,4,6,8,11,13,14],[3,4,8,9,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,9,10,14],[4,5,6,7,8,12,13]]; G[5387]:=Group([(1,11)(3,12)(4,10)(7,14)(9,13)]); # Design 5388: autom. group order 2, simple B[5388]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,8,9,12,14],[1,3,5,7,11,12,14],[1,3,7,8,10,12,13],[1,4,5,6,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,11,14],[1,5,7,9,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,8,11,13],[2,3,7,9,12,13,14],[2,4,5,7,8,10,14],[2,4,6,7,9,11,12],[2,4,7,9,10,13,14],[2,5,6,10,11,12,14],[2,5,8,10,11,12,13],[3,4,5,9,10,12,13],[3,4,6,8,11,13,14],[3,4,8,9,11,12,14],[3,5,6,7,9,10,11],[3,5,6,8,9,10,14],[4,5,6,7,8,12,13]]; G[5388]:=Group([(1,11)(3,12)(4,10)(7,14)(9,13)]); # Design 5389: autom. group order 2, simple B[5389]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,8,11,13,14],[1,3,5,7,12,13,14],[1,3,7,8,9,10,11],[1,4,5,6,9,12,14],[1,4,6,9,10,11,14],[1,4,7,8,10,12,13],[1,5,7,8,9,11,14],[1,6,7,9,10,12,13],[2,3,6,7,9,11,12],[2,3,8,9,10,12,14],[2,4,5,7,9,10,13],[2,4,6,7,8,12,14],[2,4,7,9,11,13,14],[2,5,6,8,9,10,13],[2,5,7,10,11,12,14],[3,4,5,10,11,13,14],[3,4,6,7,8,11,13],[3,4,8,9,12,13,14],[3,5,6,7,8,10,14],[3,5,6,9,11,12,13],[4,5,6,8,10,11,12]]; G[5389]:=Group([(2,13)(3,12)(4,7)(5,10)(6,8)(11,14)]); # Design 5390: autom. group order 2, simple, residual B[5390]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,9,10,12,14],[1,3,5,7,11,12,14],[1,3,8,9,11,13,14],[1,4,5,6,7,13,14],[1,4,6,8,9,12,14],[1,4,7,9,10,11,12],[1,5,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,6,7,9,12,13],[2,3,7,8,9,11,14],[2,4,5,8,11,12,13],[2,4,6,7,8,11,14],[2,4,7,9,10,13,14],[2,5,6,9,11,12,13],[2,5,7,8,10,12,14],[3,4,5,9,12,13,14],[3,4,6,10,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,10,12,14],[4,5,6,8,9,10,11]]; G[5390]:=Group([(1,14)(3,7)(4,8)(5,11)(6,9)]); # Design 5391: autom. group order 2, simple, residual B[5391]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,9,10,12,14],[1,3,5,7,11,12,14],[1,3,8,9,11,13,14],[1,4,5,6,7,13,14],[1,4,6,8,9,12,14],[1,4,7,9,10,11,13],[1,5,7,8,9,10,12],[1,6,7,8,11,12,13],[2,3,6,7,9,12,13],[2,3,7,8,9,11,14],[2,4,5,8,11,12,13],[2,4,6,7,8,11,14],[2,4,7,9,10,13,14],[2,5,6,9,11,12,13],[2,5,7,8,10,12,14],[3,4,5,9,12,13,14],[3,4,6,10,11,12,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,10,13,14],[4,5,6,8,9,10,11]]; G[5391]:=Group([(1,14)(3,7)(4,8)(5,11)(6,9)]); # Design 5392: autom. group order 2, simple, residual B[5392]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,9,10,12,14],[1,3,5,7,11,13,14],[1,3,8,9,11,12,14],[1,4,5,6,7,12,14],[1,4,6,8,9,13,14],[1,4,7,9,10,11,12],[1,5,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,6,7,9,12,13],[2,3,7,8,9,11,14],[2,4,5,8,11,12,13],[2,4,6,7,8,11,14],[2,4,7,9,10,13,14],[2,5,6,9,11,12,13],[2,5,7,8,10,12,14],[3,4,5,9,12,13,14],[3,4,6,10,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,10,12,14],[4,5,6,8,9,10,11]]; G[5392]:=Group([(1,14)(3,7)(4,8)(5,11)(6,9)]); # Design 5393: autom. group order 2, simple, residual B[5393]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,9,10,12,14],[1,3,5,7,11,13,14],[1,3,8,9,11,12,14],[1,4,5,6,7,12,14],[1,4,6,8,9,13,14],[1,4,7,9,10,11,13],[1,5,7,8,9,10,12],[1,6,7,8,11,12,13],[2,3,6,7,9,12,13],[2,3,7,8,9,11,14],[2,4,5,8,11,12,13],[2,4,6,7,8,11,14],[2,4,7,9,10,13,14],[2,5,6,9,11,12,13],[2,5,7,8,10,12,14],[3,4,5,9,12,13,14],[3,4,6,10,11,12,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,10,13,14],[4,5,6,8,9,10,11]]; G[5393]:=Group([(1,14)(3,7)(4,8)(5,11)(6,9)]); # Design 5394: autom. group order 2, simple, residual B[5394]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,9,10,12,14],[1,3,5,7,11,12,14],[1,3,8,9,11,13,14],[1,4,5,6,7,13,14],[1,4,6,8,9,12,14],[1,4,7,9,10,11,12],[1,5,7,8,9,12,13],[1,6,7,8,10,11,13],[2,3,6,7,9,12,13],[2,3,7,8,9,11,14],[2,4,5,8,11,12,13],[2,4,6,7,8,11,14],[2,4,7,9,10,13,14],[2,5,6,9,11,12,13],[2,5,7,8,10,12,14],[3,4,5,9,10,13,14],[3,4,6,11,12,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,10,12,14],[4,5,6,8,9,10,11]]; G[5394]:=Group([(1,14)(3,7)(4,8)(5,11)(6,9)]); # Design 5395: autom. group order 2, simple, residual B[5395]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,9,10,12,14],[1,3,5,7,11,13,14],[1,3,8,9,11,12,14],[1,4,5,6,7,12,14],[1,4,6,8,9,13,14],[1,4,7,9,10,11,12],[1,5,7,8,9,12,13],[1,6,7,8,10,11,13],[2,3,6,7,9,12,13],[2,3,7,8,9,11,14],[2,4,5,8,11,12,13],[2,4,6,7,8,11,14],[2,4,7,9,10,13,14],[2,5,6,9,11,12,13],[2,5,7,8,10,12,14],[3,4,5,9,10,13,14],[3,4,6,11,12,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,10,12,14],[4,5,6,8,9,10,11]]; G[5395]:=Group([(1,14)(3,7)(4,8)(5,11)(6,9)]); # Design 5396: autom. group order 2, simple, residual B[5396]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,9,10,12,14],[1,3,5,7,11,13,14],[1,3,8,9,11,12,14],[1,4,5,6,7,12,14],[1,4,6,8,9,13,14],[1,4,7,9,10,11,13],[1,5,7,8,9,12,13],[1,6,7,8,10,11,12],[2,3,6,7,9,12,13],[2,3,7,8,9,11,14],[2,4,5,8,11,12,13],[2,4,6,7,8,11,14],[2,4,7,9,10,13,14],[2,5,6,9,11,12,13],[2,5,7,8,10,12,14],[3,4,5,9,10,12,14],[3,4,6,11,12,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,10,13,14],[4,5,6,8,9,10,11]]; G[5396]:=Group([(1,14)(3,7)(4,8)(5,11)(6,9)]); # Design 5397: autom. group order 2, simple, residual B[5397]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,9,10,12,14],[1,3,5,7,11,12,14],[1,3,8,9,11,13,14],[1,4,5,6,7,13,14],[1,4,6,8,9,12,14],[1,4,7,9,11,12,13],[1,5,7,8,9,10,12],[1,6,7,8,10,11,13],[2,3,6,7,9,12,13],[2,3,7,8,9,11,14],[2,4,5,8,11,12,13],[2,4,6,7,8,11,14],[2,4,7,9,10,13,14],[2,5,6,9,11,12,13],[2,5,7,8,10,12,14],[3,4,5,9,10,13,14],[3,4,6,10,11,12,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,12,13,14],[4,5,6,8,9,10,11]]; G[5397]:=Group([(1,14)(3,7)(4,8)(5,11)(6,9)]); # Design 5398: autom. group order 2, simple, residual B[5398]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,9,10,12,14],[1,3,5,7,11,12,14],[1,3,8,9,11,13,14],[1,4,5,6,7,13,14],[1,4,6,8,9,12,14],[1,4,7,9,11,12,13],[1,5,7,8,9,10,13],[1,6,7,8,10,11,12],[2,3,6,7,9,12,13],[2,3,7,8,9,11,14],[2,4,5,8,11,12,13],[2,4,6,7,8,11,14],[2,4,7,9,10,13,14],[2,5,6,9,11,12,13],[2,5,7,8,10,12,14],[3,4,5,9,10,12,14],[3,4,6,10,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,12,13,14],[4,5,6,8,9,10,11]]; G[5398]:=Group([(1,14)(3,7)(4,8)(5,11)(6,9)]); # Design 5399: autom. group order 2, simple, residual B[5399]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,9,10,12,14],[1,3,5,7,11,13,14],[1,3,8,9,11,12,14],[1,4,5,6,7,12,14],[1,4,6,8,9,13,14],[1,4,7,9,11,12,13],[1,5,7,8,9,10,13],[1,6,7,8,10,11,12],[2,3,6,7,9,12,13],[2,3,7,8,9,11,14],[2,4,5,8,11,12,13],[2,4,6,7,8,11,14],[2,4,7,9,10,13,14],[2,5,6,9,11,12,13],[2,5,7,8,10,12,14],[3,4,5,9,10,12,14],[3,4,6,10,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,12,13,14],[4,5,6,8,9,10,11]]; G[5399]:=Group([(1,14)(3,7)(4,8)(5,11)(6,9)]); # Design 5400: autom. group order 2, simple, residual B[5400]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,11,13,14],[1,3,8,9,11,12,14],[1,4,5,6,7,12,14],[1,4,6,8,9,10,14],[1,4,7,9,10,11,12],[1,5,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,6,7,9,12,13],[2,3,7,8,9,11,14],[2,4,5,8,11,12,13],[2,4,6,7,8,11,14],[2,4,7,9,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,12,14],[3,4,5,9,12,13,14],[3,4,6,10,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,10,12,14],[4,5,6,8,9,11,13]]; G[5400]:=Group([(1,14)(3,7)(4,8)(5,11)(6,9)]); # Design 5401: autom. group order 2, simple, residual B[5401]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,11,13,14],[1,3,8,9,11,12,14],[1,4,5,6,7,12,14],[1,4,6,8,9,10,14],[1,4,7,9,10,11,13],[1,5,7,8,9,12,13],[1,6,7,8,10,11,12],[2,3,6,7,9,12,13],[2,3,7,8,9,11,14],[2,4,5,8,11,12,13],[2,4,6,7,8,11,14],[2,4,7,9,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,12,14],[3,4,5,9,10,12,14],[3,4,6,11,12,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,10,13,14],[4,5,6,8,9,11,13]]; G[5401]:=Group([(1,14)(3,7)(4,8)(5,11)(6,9)]); # Design 5402: autom. group order 2, simple, residual B[5402]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,11,13,14],[1,3,8,9,11,12,14],[1,4,5,6,7,12,14],[1,4,6,8,9,10,14],[1,4,7,9,11,12,13],[1,5,7,8,9,10,12],[1,6,7,8,10,11,13],[2,3,6,7,9,12,13],[2,3,7,8,9,11,14],[2,4,5,8,11,12,13],[2,4,6,7,8,11,14],[2,4,7,9,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,12,14],[3,4,5,9,10,13,14],[3,4,6,10,11,12,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,12,13,14],[4,5,6,8,9,11,13]]; G[5402]:=Group([(1,14)(3,7)(4,8)(5,11)(6,9)]); # Design 5403: autom. group order 2, simple, residual B[5403]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,11,13,14],[1,3,8,9,11,12,14],[1,4,5,6,7,12,14],[1,4,6,8,9,10,14],[1,4,7,9,11,12,13],[1,5,7,8,9,10,13],[1,6,7,8,10,11,12],[2,3,6,7,9,12,13],[2,3,7,8,9,11,14],[2,4,5,8,11,12,13],[2,4,6,7,8,11,14],[2,4,7,9,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,12,14],[3,4,5,9,10,12,14],[3,4,6,10,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,12,13,14],[4,5,6,8,9,11,13]]; G[5403]:=Group([(1,14)(3,7)(4,8)(5,11)(6,9)]); # Design 5404: autom. group order 2, simple, residual B[5404]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,11,12,13,14],[1,2,6,9,10,11,14],[1,3,5,7,10,12,14],[1,3,8,9,12,13,14],[1,4,5,6,7,13,14],[1,4,6,8,9,11,14],[1,4,7,9,10,11,12],[1,5,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,6,7,9,11,13],[2,3,7,8,9,12,14],[2,4,5,8,11,12,13],[2,4,6,7,8,12,14],[2,4,7,9,10,13,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,9,11,13,14],[3,4,6,10,12,13,14],[3,4,7,8,10,11,13],[3,5,6,7,9,11,12],[3,5,6,8,10,11,14],[4,5,6,8,9,10,12]]; G[5404]:=Group([(1,14)(3,7)(4,8)(5,12)(6,9)]); # Design 5405: autom. group order 2, simple, residual B[5405]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,11,12,13,14],[1,2,6,9,10,11,14],[1,3,5,7,10,12,14],[1,3,8,9,12,13,14],[1,4,5,6,7,13,14],[1,4,6,8,9,11,14],[1,4,7,9,10,11,12],[1,5,7,8,9,11,13],[1,6,7,8,10,12,13],[2,3,6,7,9,11,13],[2,3,7,8,9,12,14],[2,4,5,8,11,12,13],[2,4,6,7,8,12,14],[2,4,7,9,10,13,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,9,10,13,14],[3,4,6,11,12,13,14],[3,4,7,8,10,11,13],[3,5,6,7,9,11,12],[3,5,6,8,10,11,14],[4,5,6,8,9,10,12]]; G[5405]:=Group([(1,14)(3,7)(4,8)(5,12)(6,9)]); # Design 5406: autom. group order 2, simple, residual B[5406]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,11,12,13,14],[1,2,6,9,10,11,14],[1,3,5,7,10,12,14],[1,3,8,9,12,13,14],[1,4,5,6,7,13,14],[1,4,6,8,9,11,14],[1,4,7,9,11,12,13],[1,5,7,8,9,10,11],[1,6,7,8,10,12,13],[2,3,6,7,9,11,13],[2,3,7,8,9,12,14],[2,4,5,8,11,12,13],[2,4,6,7,8,12,14],[2,4,7,9,10,13,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,9,10,13,14],[3,4,6,10,11,12,14],[3,4,7,8,10,11,13],[3,5,6,7,9,11,12],[3,5,6,8,11,13,14],[4,5,6,8,9,10,12]]; G[5406]:=Group([(1,14)(3,7)(4,8)(5,12)(6,9)]); # Design 5407: autom. group order 2, simple, residual B[5407]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,11,12,13,14],[1,2,6,9,10,11,14],[1,3,5,7,10,12,14],[1,3,8,9,12,13,14],[1,4,5,6,7,13,14],[1,4,6,8,9,11,14],[1,4,7,9,11,12,13],[1,5,7,8,9,10,13],[1,6,7,8,10,11,12],[2,3,6,7,9,11,13],[2,3,7,8,9,12,14],[2,4,5,8,11,12,13],[2,4,6,7,8,12,14],[2,4,7,9,10,13,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,9,10,11,14],[3,4,6,10,12,13,14],[3,4,7,8,10,11,13],[3,5,6,7,9,11,12],[3,5,6,8,11,13,14],[4,5,6,8,9,10,12]]; G[5407]:=Group([(1,14)(3,7)(4,8)(5,12)(6,9)]); # Design 5408: autom. group order 2, simple B[5408]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,10,12,13,14],[1,2,6,8,9,13,14],[1,3,5,7,8,13,14],[1,3,8,9,11,12,14],[1,4,5,6,9,11,14],[1,4,6,7,10,12,14],[1,4,7,8,9,10,12],[1,5,7,9,10,11,13],[1,6,7,8,11,12,13],[2,3,6,7,9,12,13],[2,3,7,9,11,12,14],[2,4,5,8,11,12,13],[2,4,6,7,8,11,14],[2,4,7,8,9,10,13],[2,5,6,8,10,12,14],[2,5,7,9,10,11,14],[3,4,5,7,12,13,14],[3,4,6,9,10,13,14],[3,4,8,10,11,13,14],[3,5,6,7,8,10,11],[3,5,6,8,9,10,12],[4,5,6,9,11,12,13]]; G[5408]:=Group([(1,13)(2,14)(5,10)(6,8)(7,11)]); # Design 5409: autom. group order 2, simple B[5409]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,9,12,13,14],[1,3,5,7,9,13,14],[1,3,8,9,11,12,14],[1,4,5,6,11,12,14],[1,4,6,7,8,10,14],[1,4,7,8,9,10,12],[1,5,7,10,11,12,13],[1,6,7,8,9,11,13],[2,3,6,7,8,12,13],[2,3,7,8,11,12,14],[2,4,5,8,9,11,13],[2,4,6,7,9,11,14],[2,4,7,9,10,12,13],[2,5,6,9,10,12,14],[2,5,7,8,10,11,14],[3,4,5,7,12,13,14],[3,4,6,8,10,13,14],[3,4,9,10,11,13,14],[3,5,6,7,9,10,11],[3,5,6,8,9,10,12],[4,5,6,8,11,12,13]]; G[5409]:=Group([(1,13)(2,14)(5,10)(6,9)(7,11)]); # Design 5410: autom. group order 2, simple B[5410]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,13,14],[1,2,6,10,11,12,13],[1,3,5,7,10,11,13],[1,3,8,9,11,12,14],[1,4,5,6,9,11,14],[1,4,6,7,10,12,14],[1,4,7,8,9,10,12],[1,5,7,8,12,13,14],[1,6,7,8,9,11,13],[2,3,6,7,9,12,13],[2,3,7,9,11,12,14],[2,4,5,8,11,12,13],[2,4,6,7,8,11,14],[2,4,7,8,9,10,13],[2,5,6,8,10,12,14],[2,5,7,9,10,11,14],[3,4,5,7,12,13,14],[3,4,6,9,10,13,14],[3,4,8,10,11,13,14],[3,5,6,7,8,10,11],[3,5,6,8,9,10,12],[4,5,6,9,11,12,13]]; G[5410]:=Group([(1,13)(2,14)(5,10)(6,8)(7,11)]); # Design 5411: autom. group order 2, simple, residual B[5411]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,10,12,13,14],[1,3,5,7,10,13,14],[1,3,8,9,11,12,14],[1,4,5,6,9,11,14],[1,4,6,7,11,12,13],[1,4,7,8,9,12,13],[1,5,7,8,10,11,12],[1,6,7,8,9,10,14],[2,3,6,7,9,10,12],[2,3,7,9,11,12,14],[2,4,5,8,10,12,14],[2,4,6,7,8,11,14],[2,4,7,8,9,10,13],[2,5,6,8,11,12,13],[2,5,7,9,11,13,14],[3,4,5,7,12,13,14],[3,4,6,9,10,11,13],[3,4,8,10,11,13,14],[3,5,6,7,8,10,11],[3,5,6,8,9,12,13],[4,5,6,9,10,12,14]]; G[5411]:=Group([(1,10)(2,11)(5,13)(6,8)(7,14)]); # Design 5412: autom. group order 2, simple B[5412]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,13,14],[1,2,6,10,11,12,13],[1,3,5,7,10,11,13],[1,3,8,9,11,12,14],[1,4,5,6,11,12,14],[1,4,6,7,9,10,14],[1,4,7,8,9,10,12],[1,5,7,8,12,13,14],[1,6,7,8,9,11,13],[2,3,6,7,9,12,13],[2,3,7,9,11,12,14],[2,4,5,8,9,11,13],[2,4,6,7,8,11,14],[2,4,7,8,10,12,13],[2,5,6,8,10,12,14],[2,5,7,9,10,11,14],[3,4,5,7,12,13,14],[3,4,6,9,10,13,14],[3,4,8,10,11,13,14],[3,5,6,7,8,10,11],[3,5,6,8,9,10,12],[4,5,6,9,11,12,13]]; G[5412]:=Group([(1,13)(2,14)(5,10)(6,8)(7,11)]); # Design 5413: autom. group order 2, simple, residual B[5413]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,10,12,13,14],[1,3,5,7,10,13,14],[1,3,8,9,11,12,14],[1,4,5,6,11,12,14],[1,4,6,7,9,11,13],[1,4,7,8,9,12,13],[1,5,7,8,10,11,12],[1,6,7,8,9,10,14],[2,3,6,7,9,10,12],[2,3,7,9,11,12,14],[2,4,5,8,9,10,14],[2,4,6,7,8,11,14],[2,4,7,8,10,12,13],[2,5,6,8,11,12,13],[2,5,7,9,11,13,14],[3,4,5,7,12,13,14],[3,4,6,9,10,11,13],[3,4,8,10,11,13,14],[3,5,6,7,8,10,11],[3,5,6,8,9,12,13],[4,5,6,9,10,12,14]]; G[5413]:=Group([(1,10)(2,11)(5,13)(6,8)(7,14)]); # Design 5414: autom. group order 2, simple B[5414]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,13,14],[1,2,6,9,10,12,13],[1,3,5,7,10,12,13],[1,3,8,9,11,12,14],[1,4,5,6,9,12,14],[1,4,6,7,10,11,14],[1,4,7,8,9,10,11],[1,5,7,8,9,13,14],[1,6,7,8,11,12,13],[2,3,6,7,9,11,13],[2,3,7,9,11,12,14],[2,4,5,8,11,12,13],[2,4,6,7,8,12,14],[2,4,7,8,9,10,13],[2,5,6,8,10,11,14],[2,5,7,9,10,12,14],[3,4,5,7,11,13,14],[3,4,6,9,10,13,14],[3,4,8,10,12,13,14],[3,5,6,7,8,10,12],[3,5,6,8,9,10,11],[4,5,6,9,11,12,13]]; G[5414]:=Group([(1,13)(2,14)(5,10)(6,8)(7,12)]); # Design 5415: autom. group order 2, simple B[5415]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,12,13],[1,2,6,9,10,13,14],[1,3,5,7,10,13,14],[1,3,8,9,11,12,14],[1,4,5,6,9,11,14],[1,4,6,7,11,12,13],[1,4,7,8,9,12,13],[1,5,7,8,9,10,11],[1,6,7,8,10,12,14],[2,3,6,7,9,10,12],[2,3,7,9,11,12,14],[2,4,5,8,10,12,14],[2,4,6,7,8,11,14],[2,4,7,8,9,10,13],[2,5,6,8,11,12,13],[2,5,7,9,11,13,14],[3,4,5,7,12,13,14],[3,4,6,9,10,11,13],[3,4,8,10,11,13,14],[3,5,6,7,8,10,11],[3,5,6,8,9,12,13],[4,5,6,9,10,12,14]]; G[5415]:=Group([(1,10)(2,11)(5,13)(6,8)(7,14)]); # Design 5416: autom. group order 2, simple B[5416]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,13,14],[1,2,6,9,10,12,13],[1,3,5,7,10,12,13],[1,3,8,9,11,12,14],[1,4,5,6,11,12,14],[1,4,6,7,9,10,14],[1,4,7,8,9,10,11],[1,5,7,8,9,13,14],[1,6,7,8,11,12,13],[2,3,6,7,9,11,13],[2,3,7,9,11,12,14],[2,4,5,8,9,12,13],[2,4,6,7,8,12,14],[2,4,7,8,10,11,13],[2,5,6,8,10,11,14],[2,5,7,9,10,12,14],[3,4,5,7,11,13,14],[3,4,6,9,10,13,14],[3,4,8,10,12,13,14],[3,5,6,7,8,10,12],[3,5,6,8,9,10,11],[4,5,6,9,11,12,13]]; G[5416]:=Group([(1,13)(2,14)(5,10)(6,8)(7,12)]); # Design 5417: autom. group order 2, simple B[5417]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,12,13],[1,2,6,9,10,13,14],[1,3,5,7,10,13,14],[1,3,8,9,11,12,14],[1,4,5,6,11,12,14],[1,4,6,7,9,11,13],[1,4,7,8,9,12,13],[1,5,7,8,9,10,11],[1,6,7,8,10,12,14],[2,3,6,7,9,10,12],[2,3,7,9,11,12,14],[2,4,5,8,9,10,14],[2,4,6,7,8,11,14],[2,4,7,8,10,12,13],[2,5,6,8,11,12,13],[2,5,7,9,11,13,14],[3,4,5,7,12,13,14],[3,4,6,9,10,11,13],[3,4,8,10,11,13,14],[3,5,6,7,8,10,11],[3,5,6,8,9,12,13],[4,5,6,9,10,12,14]]; G[5417]:=Group([(1,10)(2,11)(5,13)(6,8)(7,14)]); # Design 5418: autom. group order 2, simple, residual B[5418]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,8,9,12,14],[1,3,5,9,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,7,10,14],[1,4,6,7,9,12,13],[1,4,7,8,11,13,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,6,7,8,12,13],[2,3,7,9,10,11,14],[2,4,5,9,11,12,13],[2,4,6,8,11,13,14],[2,4,7,9,10,12,14],[2,5,6,7,11,12,14],[2,5,7,8,9,10,13],[3,4,5,8,11,12,14],[3,4,6,8,9,10,14],[3,4,7,8,10,12,13],[3,5,6,7,8,9,11],[3,5,6,10,12,13,14],[4,5,6,9,10,11,13]]; G[5418]:=Group([(2,10)(3,11)(4,12)(5,8)(7,9)]); # Design 5419: autom. group order 2, simple B[5419]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,8,9,12,14],[1,3,5,9,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,7,10,14],[1,4,6,7,9,12,13],[1,4,7,8,11,13,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,6,7,8,12,13],[2,3,7,9,10,11,14],[2,4,5,9,11,12,14],[2,4,6,8,11,13,14],[2,4,7,9,10,12,13],[2,5,6,7,11,12,14],[2,5,7,8,9,10,13],[3,4,5,8,11,12,13],[3,4,6,8,9,10,14],[3,4,7,8,10,12,14],[3,5,6,7,8,9,11],[3,5,6,10,12,13,14],[4,5,6,9,10,11,13]]; G[5419]:=Group([(2,10)(3,11)(4,12)(5,8)(7,9)]); # Design 5420: autom. group order 2, simple, residual B[5420]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,8,9,12,14],[1,3,5,9,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,7,10,14],[1,4,6,7,9,12,13],[1,4,7,8,11,13,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,6,7,8,12,14],[2,3,7,9,10,11,14],[2,4,5,9,11,12,13],[2,4,6,8,11,13,14],[2,4,7,9,10,12,14],[2,5,6,7,11,12,13],[2,5,7,8,9,10,13],[3,4,5,8,11,12,14],[3,4,6,8,9,10,13],[3,4,7,8,10,12,13],[3,5,6,7,8,9,11],[3,5,6,10,12,13,14],[4,5,6,9,10,11,14]]; G[5420]:=Group([(2,10)(3,11)(4,12)(5,8)(7,9)]); # Design 5421: autom. group order 2, simple B[5421]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,8,9,12,14],[1,3,5,9,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,7,10,14],[1,4,6,7,9,12,13],[1,4,7,8,11,13,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,6,7,8,12,14],[2,3,7,9,10,11,14],[2,4,5,9,11,12,14],[2,4,6,8,11,13,14],[2,4,7,9,10,12,13],[2,5,6,7,11,12,13],[2,5,7,8,9,10,13],[3,4,5,8,11,12,13],[3,4,6,8,9,10,13],[3,4,7,8,10,12,14],[3,5,6,7,8,9,11],[3,5,6,10,12,13,14],[4,5,6,9,10,11,14]]; G[5421]:=Group([(2,10)(3,11)(4,12)(5,8)(7,9)]); # Design 5422: autom. group order 2, simple, residual B[5422]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,8,9,12,14],[1,3,5,8,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,7,11,14],[1,4,6,7,8,12,13],[1,4,7,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,7,9,12,13],[2,3,7,8,10,11,14],[2,4,5,9,11,12,13],[2,4,6,9,10,13,14],[2,4,7,8,11,12,14],[2,5,6,7,10,12,14],[2,5,7,8,9,11,13],[3,4,5,9,10,12,14],[3,4,6,8,9,11,14],[3,4,7,8,10,12,13],[3,5,6,7,8,9,10],[3,5,6,11,12,13,14],[4,5,6,8,10,11,13]]; G[5422]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 5423: autom. group order 2, simple, residual B[5423]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,8,9,12,14],[1,3,5,8,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,7,11,14],[1,4,6,7,8,12,13],[1,4,7,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,7,9,12,13],[2,3,7,8,10,11,14],[2,4,5,9,11,12,14],[2,4,6,9,10,13,14],[2,4,7,8,11,12,13],[2,5,6,7,10,12,14],[2,5,7,8,9,11,13],[3,4,5,9,10,12,13],[3,4,6,8,9,11,14],[3,4,7,8,10,12,14],[3,5,6,7,8,9,10],[3,5,6,11,12,13,14],[4,5,6,8,10,11,13]]; G[5423]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 5424: autom. group order 2, simple, residual B[5424]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,8,9,12,14],[1,3,5,8,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,7,11,14],[1,4,6,7,8,12,13],[1,4,7,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,7,9,12,14],[2,3,7,8,10,11,14],[2,4,5,9,11,12,13],[2,4,6,9,10,13,14],[2,4,7,8,11,12,14],[2,5,6,7,10,12,13],[2,5,7,8,9,11,13],[3,4,5,9,10,12,14],[3,4,6,8,9,11,13],[3,4,7,8,10,12,13],[3,5,6,7,8,9,10],[3,5,6,11,12,13,14],[4,5,6,8,10,11,14]]; G[5424]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 5425: autom. group order 2, simple, residual B[5425]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,10,11,12,14],[1,3,5,9,12,13,14],[1,3,7,8,10,13,14],[1,4,5,6,7,11,14],[1,4,6,7,9,12,13],[1,4,7,8,10,11,13],[1,5,7,8,9,10,12],[1,6,8,9,11,12,14],[2,3,6,7,9,10,14],[2,3,7,9,11,12,13],[2,4,5,10,12,13,14],[2,4,6,8,9,11,13],[2,4,7,8,9,12,14],[2,5,6,7,8,10,12],[2,5,7,8,11,13,14],[3,4,5,8,11,12,14],[3,4,6,8,10,12,13],[3,4,7,9,10,11,14],[3,5,6,7,11,12,13],[3,5,6,8,9,10,11],[4,5,6,9,10,13,14]]; G[5425]:=Group([(2,6)(3,14)(4,11)(5,12)(7,10)]); # Design 5426: autom. group order 2, simple, residual B[5426]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,10,11,12,14],[1,3,5,9,12,13,14],[1,3,7,8,10,13,14],[1,4,5,6,7,11,14],[1,4,6,7,9,12,13],[1,4,7,8,10,11,13],[1,5,7,8,9,10,12],[1,6,8,9,11,12,14],[2,3,6,7,9,10,14],[2,3,7,9,11,12,13],[2,4,5,10,12,13,14],[2,4,6,8,9,11,13],[2,4,7,8,12,13,14],[2,5,6,7,8,10,12],[2,5,7,8,9,11,14],[3,4,5,8,11,12,14],[3,4,6,8,9,10,12],[3,4,7,9,10,11,14],[3,5,6,7,11,12,13],[3,5,6,8,10,11,13],[4,5,6,9,10,13,14]]; G[5426]:=Group([(2,6)(3,14)(4,11)(5,12)(7,10)]); # Design 5427: autom. group order 2, simple, residual B[5427]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,10,11,12,14],[1,3,5,9,12,13,14],[1,3,7,8,9,10,14],[1,4,5,6,7,11,14],[1,4,6,7,9,12,13],[1,4,7,8,10,11,13],[1,5,7,8,10,12,13],[1,6,8,9,11,12,14],[2,3,6,7,10,13,14],[2,3,7,9,11,12,13],[2,4,5,8,10,12,14],[2,4,6,8,9,11,13],[2,4,7,8,9,12,14],[2,5,6,7,9,10,12],[2,5,7,8,11,13,14],[3,4,5,11,12,13,14],[3,4,6,8,10,12,13],[3,4,7,9,10,11,14],[3,5,6,7,8,11,12],[3,5,6,8,9,10,11],[4,5,6,9,10,13,14]]; G[5427]:=Group([(2,6)(3,14)(4,11)(5,12)(7,10)]); # Design 5428: autom. group order 2, simple, residual B[5428]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,10,11,12,14],[1,3,5,9,12,13,14],[1,3,7,8,9,10,14],[1,4,5,6,7,11,14],[1,4,6,7,9,12,13],[1,4,7,8,10,11,13],[1,5,7,8,10,12,13],[1,6,8,9,11,12,14],[2,3,6,7,10,13,14],[2,3,7,9,11,12,13],[2,4,5,8,10,12,14],[2,4,6,8,9,11,13],[2,4,7,8,12,13,14],[2,5,6,7,9,10,12],[2,5,7,8,9,11,14],[3,4,5,11,12,13,14],[3,4,6,8,9,10,12],[3,4,7,9,10,11,14],[3,5,6,7,8,11,12],[3,5,6,8,10,11,13],[4,5,6,9,10,13,14]]; G[5428]:=Group([(2,6)(3,14)(4,11)(5,12)(7,10)]); # Design 5429: autom. group order 2, simple, residual B[5429]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,10,11,12,14],[1,3,5,9,12,13,14],[1,3,7,8,10,13,14],[1,4,5,6,7,11,14],[1,4,6,7,9,12,13],[1,4,7,8,10,11,13],[1,5,7,8,9,10,12],[1,6,8,9,11,12,14],[2,3,6,7,9,10,14],[2,3,7,9,11,12,13],[2,4,5,8,10,12,14],[2,4,6,8,9,11,13],[2,4,7,8,9,12,14],[2,5,6,7,10,12,13],[2,5,7,8,11,13,14],[3,4,5,11,12,13,14],[3,4,6,8,10,12,13],[3,4,7,9,10,11,14],[3,5,6,7,8,11,12],[3,5,6,8,9,10,11],[4,5,6,9,10,13,14]]; G[5429]:=Group([(2,6)(3,14)(4,11)(5,12)(7,10)]); # Design 5430: autom. group order 2, simple, residual B[5430]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,10,11,12,14],[1,3,5,9,12,13,14],[1,3,7,8,10,13,14],[1,4,5,6,7,11,14],[1,4,6,7,9,12,13],[1,4,7,8,10,11,13],[1,5,7,8,9,10,12],[1,6,8,9,11,12,14],[2,3,6,7,9,10,14],[2,3,7,9,11,12,13],[2,4,5,8,10,12,14],[2,4,6,8,9,11,13],[2,4,7,8,12,13,14],[2,5,6,7,10,12,13],[2,5,7,8,9,11,14],[3,4,5,11,12,13,14],[3,4,6,8,9,10,12],[3,4,7,9,10,11,14],[3,5,6,7,8,11,12],[3,5,6,8,10,11,13],[4,5,6,9,10,13,14]]; G[5430]:=Group([(2,6)(3,14)(4,11)(5,12)(7,10)]); # Design 5431: autom. group order 2, simple, residual B[5431]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,10,11,12,14],[1,3,5,9,12,13,14],[1,3,7,8,10,13,14],[1,4,5,6,7,11,14],[1,4,6,7,9,12,13],[1,4,7,8,10,11,13],[1,5,7,8,9,10,12],[1,6,8,9,11,12,14],[2,3,6,7,9,10,14],[2,3,7,8,9,11,12],[2,4,5,10,12,13,14],[2,4,6,8,9,11,13],[2,4,7,9,12,13,14],[2,5,6,7,8,10,12],[2,5,7,8,11,13,14],[3,4,5,8,11,12,14],[3,4,6,8,10,12,13],[3,4,7,9,10,11,14],[3,5,6,7,11,12,13],[3,5,6,9,10,11,13],[4,5,6,8,9,10,14]]; G[5431]:=Group([(2,6)(3,14)(4,11)(5,12)(7,10)]); # Design 5432: autom. group order 2, simple, residual B[5432]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,10,11,12,14],[1,3,5,9,12,13,14],[1,3,7,8,10,13,14],[1,4,5,6,7,11,14],[1,4,6,7,9,12,13],[1,4,7,8,10,11,13],[1,5,7,8,9,10,12],[1,6,8,9,11,12,14],[2,3,6,7,9,10,14],[2,3,7,8,11,12,13],[2,4,5,10,12,13,14],[2,4,6,8,9,11,13],[2,4,7,9,12,13,14],[2,5,6,7,8,10,12],[2,5,7,8,9,11,14],[3,4,5,8,11,12,14],[3,4,6,8,9,10,12],[3,4,7,9,10,11,14],[3,5,6,7,11,12,13],[3,5,6,9,10,11,13],[4,5,6,8,10,13,14]]; G[5432]:=Group([(2,6)(3,14)(4,11)(5,12)(7,10)]); # Design 5433: autom. group order 2, simple, residual B[5433]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,10,11,12,14],[1,3,5,9,12,13,14],[1,3,7,8,10,13,14],[1,4,5,6,7,11,14],[1,4,6,7,9,12,13],[1,4,7,8,10,11,13],[1,5,7,8,9,10,12],[1,6,8,9,11,12,14],[2,3,6,7,9,10,14],[2,3,7,8,9,11,12],[2,4,5,10,12,13,14],[2,4,6,8,9,11,13],[2,4,7,8,12,13,14],[2,5,6,7,8,10,12],[2,5,7,9,11,13,14],[3,4,5,8,11,12,14],[3,4,6,9,10,12,13],[3,4,7,9,10,11,14],[3,5,6,7,11,12,13],[3,5,6,8,10,11,13],[4,5,6,8,9,10,14]]; G[5433]:=Group([(2,6)(3,14)(4,11)(5,12)(7,10)]); # Design 5434: autom. group order 2, simple, residual B[5434]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,10,11,12,14],[1,3,5,9,12,13,14],[1,3,7,8,9,10,14],[1,4,5,6,7,11,14],[1,4,6,7,9,12,13],[1,4,7,8,10,11,13],[1,5,7,8,10,12,13],[1,6,8,9,11,12,14],[2,3,6,7,10,13,14],[2,3,7,8,9,11,12],[2,4,5,8,10,12,14],[2,4,6,8,9,11,13],[2,4,7,9,12,13,14],[2,5,6,7,9,10,12],[2,5,7,8,11,13,14],[3,4,5,11,12,13,14],[3,4,6,8,10,12,13],[3,4,7,9,10,11,14],[3,5,6,7,8,11,12],[3,5,6,9,10,11,13],[4,5,6,8,9,10,14]]; G[5434]:=Group([(2,6)(3,14)(4,11)(5,12)(7,10)]); # Design 5435: autom. group order 2, simple, residual B[5435]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,10,11,12,14],[1,3,5,9,12,13,14],[1,3,7,8,9,10,14],[1,4,5,6,7,11,14],[1,4,6,7,9,12,13],[1,4,7,8,10,11,13],[1,5,7,8,10,12,13],[1,6,8,9,11,12,14],[2,3,6,7,10,13,14],[2,3,7,8,11,12,13],[2,4,5,8,10,12,14],[2,4,6,8,9,11,13],[2,4,7,9,12,13,14],[2,5,6,7,9,10,12],[2,5,7,8,9,11,14],[3,4,5,11,12,13,14],[3,4,6,8,9,10,12],[3,4,7,9,10,11,14],[3,5,6,7,8,11,12],[3,5,6,9,10,11,13],[4,5,6,8,10,13,14]]; G[5435]:=Group([(2,6)(3,14)(4,11)(5,12)(7,10)]); # Design 5436: autom. group order 2, simple, residual B[5436]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,10,11,12,14],[1,3,5,9,12,13,14],[1,3,7,8,10,13,14],[1,4,5,6,7,11,14],[1,4,6,7,9,12,13],[1,4,7,8,10,11,13],[1,5,7,8,9,10,12],[1,6,8,9,11,12,14],[2,3,6,7,9,10,14],[2,3,7,8,9,11,12],[2,4,5,8,10,12,14],[2,4,6,8,9,11,13],[2,4,7,9,12,13,14],[2,5,6,7,10,12,13],[2,5,7,8,11,13,14],[3,4,5,11,12,13,14],[3,4,6,8,10,12,13],[3,4,7,9,10,11,14],[3,5,6,7,8,11,12],[3,5,6,9,10,11,13],[4,5,6,8,9,10,14]]; G[5436]:=Group([(2,6)(3,14)(4,11)(5,12)(7,10)]); # Design 5437: autom. group order 2, simple, residual B[5437]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,10,11,12,14],[1,3,5,9,12,13,14],[1,3,7,8,10,13,14],[1,4,5,6,7,11,14],[1,4,6,7,9,12,13],[1,4,7,8,10,11,13],[1,5,7,8,9,10,12],[1,6,8,9,11,12,14],[2,3,6,7,9,10,14],[2,3,7,8,11,12,13],[2,4,5,8,10,12,14],[2,4,6,8,9,11,13],[2,4,7,9,12,13,14],[2,5,6,7,10,12,13],[2,5,7,8,9,11,14],[3,4,5,11,12,13,14],[3,4,6,8,9,10,12],[3,4,7,9,10,11,14],[3,5,6,7,8,11,12],[3,5,6,9,10,11,13],[4,5,6,8,10,13,14]]; G[5437]:=Group([(2,6)(3,14)(4,11)(5,12)(7,10)]); # Design 5438: autom. group order 2, simple, residual B[5438]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,10,11,12,14],[1,3,5,9,12,13,14],[1,3,7,8,9,10,14],[1,4,5,6,7,11,14],[1,4,6,7,9,12,13],[1,4,7,8,10,11,13],[1,5,7,8,10,12,13],[1,6,8,9,11,12,14],[2,3,6,7,10,13,14],[2,3,7,8,11,12,13],[2,4,5,8,10,12,14],[2,4,6,8,9,11,13],[2,4,7,8,9,12,14],[2,5,6,7,9,10,12],[2,5,7,9,11,13,14],[3,4,5,11,12,13,14],[3,4,6,9,10,12,13],[3,4,7,9,10,11,14],[3,5,6,7,8,11,12],[3,5,6,8,9,10,11],[4,5,6,8,10,13,14]]; G[5438]:=Group([(2,6)(3,14)(4,11)(5,12)(7,10)]); # Design 5439: autom. group order 2, simple, residual B[5439]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,10,11,12,14],[1,3,5,9,12,13,14],[1,3,7,8,10,13,14],[1,4,5,6,7,11,14],[1,4,6,7,9,12,13],[1,4,7,8,10,11,13],[1,5,7,8,9,10,12],[1,6,8,9,11,12,14],[2,3,6,7,9,10,14],[2,3,7,8,9,11,12],[2,4,5,8,10,12,14],[2,4,6,8,9,11,13],[2,4,7,8,12,13,14],[2,5,6,7,10,12,13],[2,5,7,9,11,13,14],[3,4,5,11,12,13,14],[3,4,6,9,10,12,13],[3,4,7,9,10,11,14],[3,5,6,7,8,11,12],[3,5,6,8,10,11,13],[4,5,6,8,9,10,14]]; G[5439]:=Group([(2,6)(3,14)(4,11)(5,12)(7,10)]); # Design 5440: autom. group order 2, simple B[5440]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,13,14],[1,2,6,9,11,13,14],[1,3,5,9,11,12,13],[1,3,7,8,11,12,14],[1,4,5,6,7,12,13],[1,4,6,7,8,10,11],[1,4,8,9,10,12,14],[1,5,7,9,10,12,14],[1,6,7,8,9,11,13],[2,3,6,7,8,12,14],[2,3,7,8,9,12,13],[2,4,5,7,9,11,14],[2,4,6,9,11,12,14],[2,4,7,8,9,10,13],[2,5,6,8,10,11,12],[2,5,7,10,11,12,13],[3,4,5,8,11,13,14],[3,4,6,9,10,12,13],[3,4,7,10,11,13,14],[3,5,6,7,9,10,14],[3,5,6,8,9,10,11],[4,5,6,8,12,13,14]]; G[5440]:=Group([(1,11)(3,12)(4,10)(7,8)(9,13)]); # Design 5441: autom. group order 2, simple, residual B[5441]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,13,14],[1,2,6,8,9,11,13],[1,3,5,9,11,12,14],[1,3,7,9,10,12,13],[1,4,5,6,7,11,14],[1,4,6,7,8,10,12],[1,4,8,11,12,13,14],[1,5,7,9,10,11,13],[1,6,7,8,9,12,14],[2,3,6,7,12,13,14],[2,3,7,8,9,11,14],[2,4,5,7,9,12,13],[2,4,6,9,11,12,13],[2,4,7,8,9,10,14],[2,5,6,8,10,11,12],[2,5,7,10,11,12,14],[3,4,5,8,12,13,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,13],[3,5,6,7,8,11,13],[3,5,6,8,9,10,12],[4,5,6,9,10,13,14]]; G[5441]:=Group([(1,12)(3,11)(4,10)(7,8)(9,14)]); # Design 5442: autom. group order 2, simple, residual B[5442]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,13,14],[1,2,6,8,9,11,13],[1,3,5,9,11,12,14],[1,3,7,8,11,12,13],[1,4,5,6,7,11,14],[1,4,6,7,8,10,12],[1,4,9,10,12,13,14],[1,5,7,9,10,11,13],[1,6,7,8,9,12,14],[2,3,6,7,12,13,14],[2,3,7,8,9,11,14],[2,4,5,7,9,12,13],[2,4,6,9,11,12,13],[2,4,7,8,9,10,14],[2,5,6,8,10,11,12],[2,5,7,10,11,12,14],[3,4,5,8,12,13,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,13],[3,5,6,7,9,10,13],[3,5,6,8,9,10,12],[4,5,6,8,11,13,14]]; G[5442]:=Group([(1,12)(3,11)(4,10)(7,8)(9,14)]); # Design 5443: autom. group order 2, simple B[5443]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,13,14],[1,2,6,9,11,13,14],[1,3,5,9,11,12,13],[1,3,7,8,11,12,14],[1,4,5,6,7,12,13],[1,4,6,8,9,10,12],[1,4,7,8,10,11,14],[1,5,7,9,10,12,14],[1,6,7,8,9,11,13],[2,3,6,7,8,12,14],[2,3,7,8,9,12,13],[2,4,5,7,9,11,14],[2,4,6,9,11,12,14],[2,4,7,8,9,10,13],[2,5,6,8,10,11,12],[2,5,7,10,11,12,13],[3,4,5,8,11,13,14],[3,4,6,7,10,11,13],[3,4,9,10,12,13,14],[3,5,6,7,9,10,14],[3,5,6,8,9,10,11],[4,5,6,8,12,13,14]]; G[5443]:=Group([(1,11)(3,12)(4,10)(7,8)(9,13)]); # Design 5444: autom. group order 2, simple B[5444]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,13,14],[1,2,6,8,9,11,13],[1,3,5,9,11,12,14],[1,3,7,8,11,12,13],[1,4,5,6,7,11,14],[1,4,6,9,10,12,14],[1,4,7,8,10,12,13],[1,5,7,9,10,11,13],[1,6,7,8,9,12,14],[2,3,6,7,12,13,14],[2,3,7,8,9,11,14],[2,4,5,7,9,12,13],[2,4,6,9,11,12,13],[2,4,7,8,9,10,14],[2,5,6,8,10,11,12],[2,5,7,10,11,12,14],[3,4,5,8,12,13,14],[3,4,6,7,8,10,11],[3,4,9,10,11,13,14],[3,5,6,7,9,10,13],[3,5,6,8,9,10,12],[4,5,6,8,11,13,14]]; G[5444]:=Group([(1,12)(3,11)(4,10)(7,8)(9,14)]); # Design 5445: autom. group order 2, simple, residual B[5445]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,12,13],[1,2,6,9,10,11,14],[1,3,5,9,10,13,14],[1,3,7,8,9,11,14],[1,4,5,6,8,12,14],[1,4,6,7,11,12,14],[1,4,8,9,10,12,13],[1,5,7,10,12,13,14],[1,6,7,8,9,11,13],[2,3,6,8,12,13,14],[2,3,7,8,9,12,14],[2,4,5,9,11,13,14],[2,4,7,8,10,11,13],[2,4,7,9,10,12,14],[2,5,6,7,9,12,13],[2,5,6,8,10,11,14],[3,4,5,7,11,13,14],[3,4,6,8,10,13,14],[3,4,6,9,11,12,13],[3,5,6,9,10,11,12],[3,5,7,8,10,11,12],[4,5,6,7,8,9,10]]; G[5445]:=Group([(1,11)(2,12)(4,10)(7,9)]); # Design 5446: autom. group order 2, simple, residual B[5446]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,10,11,13,14],[1,2,6,8,9,10,11],[1,3,5,8,10,12,13],[1,3,7,8,10,12,14],[1,4,5,6,9,13,14],[1,4,6,8,11,12,13],[1,4,7,9,11,12,13],[1,5,7,9,11,12,14],[1,6,7,8,9,10,14],[2,3,6,7,9,11,12],[2,3,8,9,11,13,14],[2,4,5,9,10,12,14],[2,4,7,8,9,10,13],[2,4,7,8,12,13,14],[2,5,6,7,10,12,13],[2,5,6,8,11,12,14],[3,4,5,7,8,11,14],[3,4,6,9,10,12,14],[3,4,6,10,11,13,14],[3,5,6,8,9,12,13],[3,5,7,9,10,11,13],[4,5,6,7,8,10,11]]; G[5446]:=Group([(2,11)(3,12)(5,13)(6,9)]); # Design 5447: autom. group order 2, simple, residual B[5447]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,10,11,13,14],[1,2,6,8,9,11,14],[1,3,5,8,12,13,14],[1,3,7,8,10,12,14],[1,4,5,6,9,13,14],[1,4,6,8,11,12,13],[1,4,7,9,11,12,13],[1,5,7,9,10,11,12],[1,6,7,8,9,10,14],[2,3,6,8,9,11,12],[2,3,7,9,11,13,14],[2,4,5,9,10,12,14],[2,4,7,8,9,10,13],[2,4,7,8,12,13,14],[2,5,6,7,11,12,14],[2,5,6,8,10,12,13],[3,4,5,7,8,11,14],[3,4,6,9,10,12,14],[3,4,6,10,11,13,14],[3,5,6,7,9,12,13],[3,5,8,9,10,11,13],[4,5,6,7,8,10,11]]; G[5447]:=Group([(2,11)(3,12)(5,13)(6,9)]); # Design 5448: autom. group order 2, simple, residual B[5448]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,7,9,12,14],[1,3,5,9,10,13,14],[1,3,7,8,12,13,14],[1,4,5,6,11,12,13],[1,4,6,7,9,10,14],[1,4,8,9,11,13,14],[1,5,8,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,9,11,12,13],[2,3,7,8,10,11,14],[2,4,5,8,10,12,14],[2,4,7,8,9,11,13],[2,4,7,9,10,12,13],[2,5,6,8,9,12,14],[2,5,6,10,11,13,14],[3,4,5,7,11,12,14],[3,4,6,8,12,13,14],[3,4,6,9,10,11,14],[3,5,6,7,8,9,11],[3,5,7,9,10,12,13],[4,5,6,7,8,10,13]]; G[5448]:=Group([(2,12)(3,11)(4,10)(5,8)]); # Design 5449: autom. group order 2, simple B[5449]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,7,9,12,14],[1,3,5,9,10,13,14],[1,3,7,8,12,13,14],[1,4,5,6,11,12,13],[1,4,6,7,9,10,14],[1,4,8,9,11,13,14],[1,5,8,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,9,11,12,13],[2,3,7,8,10,11,14],[2,4,5,8,10,12,14],[2,4,7,8,9,11,13],[2,4,7,9,10,12,13],[2,5,6,8,12,13,14],[2,5,6,9,10,11,14],[3,4,5,7,11,12,14],[3,4,6,8,9,12,14],[3,4,6,10,11,13,14],[3,5,6,7,8,9,11],[3,5,7,9,10,12,13],[4,5,6,7,8,10,13]]; G[5449]:=Group([(2,12)(3,11)(4,10)(5,8)]); # Design 5450: autom. group order 2, simple, residual B[5450]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,6,7,8,10,14],[1,3,5,8,9,11,14],[1,3,7,8,11,13,14],[1,4,5,6,9,12,13],[1,4,6,8,12,13,14],[1,4,7,8,9,10,13],[1,5,9,10,11,12,14],[1,6,7,9,10,11,12],[2,3,6,7,9,12,14],[2,3,8,9,10,12,13],[2,4,5,10,11,13,14],[2,4,7,8,9,11,12],[2,4,7,9,11,13,14],[2,5,6,8,9,10,14],[2,5,6,8,11,12,13],[3,4,5,7,10,12,14],[3,4,6,8,11,12,14],[3,4,6,9,10,13,14],[3,5,6,7,9,11,13],[3,5,7,8,10,12,13],[4,5,6,7,8,10,11]]; G[5450]:=Group([(2,10)(3,11)(4,12)(5,9)(8,14)]); # Design 5451: autom. group order 2, simple, residual B[5451]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,6,7,8,10,14],[1,3,5,8,9,11,14],[1,3,7,8,11,13,14],[1,4,5,6,9,12,13],[1,4,6,8,12,13,14],[1,4,7,8,9,10,13],[1,5,9,10,11,12,14],[1,6,7,9,10,11,12],[2,3,6,9,12,13,14],[2,3,8,9,10,12,13],[2,4,5,10,11,13,14],[2,4,7,8,9,11,12],[2,4,7,9,11,13,14],[2,5,6,7,8,11,12],[2,5,6,8,9,10,14],[3,4,5,7,10,12,14],[3,4,6,7,9,10,14],[3,4,6,8,11,12,14],[3,5,6,7,9,11,13],[3,5,7,8,10,12,13],[4,5,6,8,10,11,13]]; G[5451]:=Group([(2,10)(3,11)(4,12)(5,9)(8,14)]); # Design 5452: autom. group order 2, simple, residual B[5452]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,8,11,13,14],[1,3,5,7,12,13,14],[1,3,7,8,9,11,14],[1,4,5,6,9,12,13],[1,4,6,8,12,13,14],[1,4,7,9,10,13,14],[1,5,8,9,10,11,12],[1,6,7,9,10,11,12],[2,3,6,7,9,12,14],[2,3,9,10,12,13,14],[2,4,5,9,11,12,14],[2,4,7,8,9,10,13],[2,4,7,8,11,12,13],[2,5,6,7,9,11,13],[2,5,6,8,10,12,14],[3,4,5,10,11,13,14],[3,4,6,7,8,10,12],[3,4,6,8,9,11,14],[3,5,6,8,9,10,13],[3,5,7,8,11,12,13],[4,5,6,7,10,11,14]]; G[5452]:=Group([(2,11)(3,10)(4,12)(5,9)]); # Design 5453: autom. group order 2, simple, residual B[5453]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,9,10,14],[1,3,7,8,12,13,14],[1,4,5,6,11,12,13],[1,4,6,9,10,13,14],[1,4,7,8,9,11,14],[1,5,8,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,7,9,11,12],[2,3,8,10,11,13,14],[2,4,5,8,10,12,14],[2,4,7,8,9,11,13],[2,4,7,9,10,12,13],[2,5,6,7,10,11,14],[2,5,6,8,9,12,14],[3,4,5,11,12,13,14],[3,4,6,7,8,12,14],[3,4,6,9,10,11,14],[3,5,6,8,9,11,13],[3,5,7,9,10,12,13],[4,5,6,7,8,10,13]]; G[5453]:=Group([(2,12)(3,11)(4,10)(5,8)]); # Design 5454: autom. group order 2, simple B[5454]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,9,11,14],[1,2,6,9,12,13,14],[1,3,5,7,10,13,14],[1,3,7,8,9,12,14],[1,4,5,6,11,12,13],[1,4,6,9,10,13,14],[1,4,7,8,11,13,14],[1,5,8,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,7,11,12,14],[2,3,8,10,11,13,14],[2,4,5,8,10,12,14],[2,4,7,8,9,11,13],[2,4,7,9,10,12,13],[2,5,6,7,8,12,13],[2,5,6,9,10,11,14],[3,4,5,11,12,13,14],[3,4,6,7,9,10,11],[3,4,6,8,9,12,14],[3,5,6,8,9,11,13],[3,5,7,9,10,12,13],[4,5,6,7,8,10,14]]; G[5454]:=Group([(2,12)(3,11)(4,10)(5,8)]); # Design 5455: autom. group order 2, simple B[5455]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,9,10,14],[1,3,7,8,12,13,14],[1,4,5,6,11,12,13],[1,4,6,9,10,13,14],[1,4,7,8,9,11,14],[1,5,8,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,7,9,11,12],[2,3,8,10,11,13,14],[2,4,5,8,10,12,14],[2,4,7,8,9,11,13],[2,4,7,9,10,12,13],[2,5,6,7,8,12,14],[2,5,6,9,10,11,14],[3,4,5,11,12,13,14],[3,4,6,7,10,11,14],[3,4,6,8,9,12,14],[3,5,6,8,9,11,13],[3,5,7,9,10,12,13],[4,5,6,7,8,10,13]]; G[5455]:=Group([(2,12)(3,11)(4,10)(5,8)]); # Design 5456: autom. group order 2, simple, residual B[5456]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,8,11,13,14],[1,3,5,7,12,13,14],[1,3,7,8,9,11,14],[1,4,5,6,9,12,13],[1,4,6,8,12,13,14],[1,4,7,9,10,13,14],[1,5,8,9,10,11,12],[1,6,7,9,10,11,12],[2,3,6,8,9,12,14],[2,3,9,10,12,13,14],[2,4,5,9,11,12,14],[2,4,7,8,9,10,13],[2,4,7,8,11,12,13],[2,5,6,7,9,11,13],[2,5,6,7,10,12,14],[3,4,5,10,11,13,14],[3,4,6,7,8,10,12],[3,4,6,7,9,11,14],[3,5,6,8,9,10,13],[3,5,7,8,11,12,13],[4,5,6,8,10,11,14]]; G[5456]:=Group([(2,11)(3,10)(4,12)(5,9)]); # Design 5457: autom. group order 2, simple, residual B[5457]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,9,11,14],[1,2,6,9,12,13,14],[1,3,5,7,10,13,14],[1,3,7,8,9,12,14],[1,4,5,6,11,12,13],[1,4,6,9,10,13,14],[1,4,7,8,11,13,14],[1,5,8,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,9,11,12,14],[2,3,8,10,11,13,14],[2,4,5,8,10,12,14],[2,4,7,8,9,11,13],[2,4,7,9,10,12,13],[2,5,6,7,8,12,13],[2,5,6,7,10,11,14],[3,4,5,11,12,13,14],[3,4,6,7,8,12,14],[3,4,6,7,9,10,11],[3,5,6,8,9,11,13],[3,5,7,9,10,12,13],[4,5,6,8,9,10,14]]; G[5457]:=Group([(2,12)(3,11)(4,10)(5,8)]); # Design 5458: autom. group order 2, simple B[5458]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,6,8,10,13,14],[1,3,5,8,9,11,14],[1,3,7,8,11,13,14],[1,4,5,6,9,12,13],[1,4,6,7,8,12,14],[1,4,7,8,9,10,13],[1,5,9,10,11,12,14],[1,6,7,9,10,11,12],[2,3,6,9,12,13,14],[2,3,7,8,9,10,12],[2,4,5,7,10,11,14],[2,4,7,9,11,13,14],[2,4,8,9,11,12,13],[2,5,6,7,8,11,12],[2,5,6,8,9,10,14],[3,4,5,10,12,13,14],[3,4,6,7,9,10,14],[3,4,6,8,11,12,14],[3,5,6,7,9,11,13],[3,5,7,8,10,12,13],[4,5,6,8,10,11,13]]; G[5458]:=Group([(2,10)(3,11)(4,12)(5,9)(8,14)]); # Design 5459: autom. group order 2, simple, residual B[5459]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,9,10,11,14],[1,3,5,9,11,12,13],[1,3,7,9,10,13,14],[1,4,5,6,8,12,14],[1,4,6,7,12,13,14],[1,4,7,8,10,11,13],[1,5,8,9,10,12,14],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,11,12,14],[2,4,5,10,12,13,14],[2,4,7,8,9,10,14],[2,4,8,9,11,12,13],[2,5,6,7,8,9,13],[2,5,6,7,10,11,12],[3,4,5,7,9,11,14],[3,4,6,7,9,10,12],[3,4,6,8,11,13,14],[3,5,6,8,10,11,14],[3,5,7,8,10,12,13],[4,5,6,9,10,11,13]]; G[5459]:=Group([(1,14)(2,11)(4,8)(5,6)(7,10)(9,13)]); # Design 5460: autom. group order 2, simple, residual B[5460]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,7,9,11,14],[1,3,5,7,12,13,14],[1,3,7,8,10,12,14],[1,4,5,6,9,13,14],[1,4,6,8,11,12,13],[1,4,7,9,11,12,13],[1,5,8,9,10,11,12],[1,6,7,8,9,10,14],[2,3,6,7,9,11,12],[2,3,8,9,11,13,14],[2,4,5,9,10,12,14],[2,4,7,8,9,10,13],[2,4,7,8,12,13,14],[2,5,6,7,10,12,13],[2,5,6,8,11,12,14],[3,4,5,7,8,11,14],[3,4,6,9,10,12,14],[3,4,6,10,11,13,14],[3,5,6,8,9,12,13],[3,5,7,9,10,11,13],[4,5,6,7,8,10,11]]; G[5460]:=Group([(2,11)(3,12)(5,13)(6,9)]); # Design 5461: autom. group order 2, simple, residual B[5461]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,12,13],[1,2,6,7,10,11,14],[1,3,5,7,10,13,14],[1,3,7,8,9,11,14],[1,4,5,6,9,12,14],[1,4,6,8,11,12,14],[1,4,7,9,10,12,13],[1,5,8,10,12,13,14],[1,6,7,8,9,11,13],[2,3,6,9,12,13,14],[2,3,7,8,9,12,14],[2,4,5,7,11,13,14],[2,4,7,8,10,12,14],[2,4,8,9,10,11,13],[2,5,6,7,8,12,13],[2,5,6,9,10,11,14],[3,4,5,8,11,13,14],[3,4,6,7,11,12,13],[3,4,6,9,10,13,14],[3,5,6,8,10,11,12],[3,5,7,9,10,11,12],[4,5,6,7,8,9,10]]; G[5461]:=Group([(1,11)(2,12)(4,10)(7,8)]); # Design 5462: autom. group order 2, simple, residual B[5462]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,12,13],[1,2,6,7,11,12,14],[1,3,5,7,9,10,14],[1,3,7,8,11,13,14],[1,4,5,6,11,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,12,13],[1,5,8,9,10,11,14],[1,6,7,8,9,12,13],[2,3,6,9,11,13,14],[2,3,7,8,9,12,14],[2,4,5,8,12,13,14],[2,4,7,8,10,11,14],[2,4,7,9,10,11,13],[2,5,6,7,8,10,13],[2,5,6,9,10,12,14],[3,4,5,7,12,13,14],[3,4,6,8,9,11,12],[3,4,6,9,10,13,14],[3,5,6,7,10,11,12],[3,5,8,10,11,12,13],[4,5,6,7,8,9,11]]; G[5462]:=Group([(1,12)(2,11)(4,10)(9,13)]); # Design 5463: autom. group order 2, simple, residual B[5463]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,12,13],[1,2,6,7,11,12,14],[1,3,5,7,10,13,14],[1,3,7,8,9,11,14],[1,4,5,6,9,11,14],[1,4,6,8,10,12,14],[1,4,7,9,10,12,13],[1,5,8,10,11,13,14],[1,6,7,8,9,12,13],[2,3,6,9,10,13,14],[2,3,7,8,9,12,14],[2,4,5,8,12,13,14],[2,4,7,8,10,11,14],[2,4,7,9,10,11,13],[2,5,6,7,8,11,13],[2,5,6,9,10,12,14],[3,4,5,7,12,13,14],[3,4,6,8,11,12,13],[3,4,6,9,11,13,14],[3,5,6,7,10,11,12],[3,5,8,9,10,11,12],[4,5,6,7,8,9,10]]; G[5463]:=Group([(1,12)(2,11)(4,10)]); # Design 5464: autom. group order 2, simple, residual B[5464]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,12,13],[1,2,6,7,11,12,14],[1,3,5,7,10,13,14],[1,3,7,8,9,11,14],[1,4,5,6,11,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,12,13],[1,5,8,9,10,11,14],[1,6,7,8,9,12,13],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,5,8,12,13,14],[2,4,7,8,10,11,14],[2,4,7,9,10,11,13],[2,5,6,7,8,9,10],[2,5,6,9,10,12,14],[3,4,5,7,9,12,14],[3,4,6,8,9,11,12],[3,4,6,9,10,13,14],[3,5,6,7,10,11,12],[3,5,8,10,11,12,13],[4,5,6,7,8,11,13]]; G[5464]:=Group([(1,12)(2,11)(4,10)(9,13)]); # Design 5465: autom. group order 2, simple, residual B[5465]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,13,14],[1,2,6,7,9,10,11],[1,3,5,7,10,12,13],[1,3,7,8,10,12,14],[1,4,5,6,9,13,14],[1,4,6,8,11,12,13],[1,4,7,9,11,12,13],[1,5,8,9,11,12,14],[1,6,7,8,9,10,14],[2,3,6,8,9,11,12],[2,3,7,9,11,13,14],[2,4,5,9,10,12,14],[2,4,7,8,9,10,13],[2,4,7,8,12,13,14],[2,5,6,7,11,12,14],[2,5,6,8,10,12,13],[3,4,5,7,8,11,14],[3,4,6,9,10,12,14],[3,4,6,10,11,13,14],[3,5,6,7,9,12,13],[3,5,8,9,10,11,13],[4,5,6,7,8,10,11]]; G[5465]:=Group([(2,11)(3,12)(5,13)(6,9)]); # Design 5466: autom. group order 2, simple B[5466]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,7,8,11,14],[1,3,5,8,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,9,12,13],[1,4,6,7,8,12,14],[1,4,7,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,7,9,12,13],[2,3,8,9,10,12,14],[2,4,5,9,11,12,14],[2,4,7,8,9,10,13],[2,4,7,8,11,12,13],[2,5,6,7,10,12,14],[2,5,6,9,11,13,14],[3,4,5,7,10,11,14],[3,4,6,8,9,11,14],[3,4,6,10,12,13,14],[3,5,6,7,8,9,10],[3,5,7,8,11,12,13],[4,5,6,8,10,11,13]]; G[5466]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 5467: autom. group order 2, simple B[5467]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,7,8,11,14],[1,3,5,8,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,9,12,13],[1,4,6,7,8,12,14],[1,4,7,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,7,9,12,14],[2,3,8,9,10,12,14],[2,4,5,9,11,12,14],[2,4,7,8,9,10,13],[2,4,7,8,11,12,13],[2,5,6,7,10,12,13],[2,5,6,9,11,13,14],[3,4,5,7,10,11,14],[3,4,6,8,9,11,13],[3,4,6,10,12,13,14],[3,5,6,7,8,9,10],[3,5,7,8,11,12,13],[4,5,6,8,10,11,14]]; G[5467]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 5468: autom. group order 2, simple, residual B[5468]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,7,8,11,14],[1,3,5,8,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,9,12,14],[1,4,6,7,8,12,13],[1,4,7,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,7,9,12,13],[2,3,8,9,10,12,14],[2,4,5,9,11,12,13],[2,4,7,8,9,10,13],[2,4,7,8,11,12,14],[2,5,6,7,10,12,14],[2,5,6,9,11,13,14],[3,4,5,7,10,11,14],[3,4,6,8,9,11,14],[3,4,6,10,12,13,14],[3,5,6,7,8,9,10],[3,5,7,8,11,12,13],[4,5,6,8,10,11,13]]; G[5468]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 5469: autom. group order 2, simple, residual B[5469]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,7,8,11,14],[1,3,5,8,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,9,12,14],[1,4,6,7,8,12,13],[1,4,7,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,7,9,12,14],[2,3,8,9,10,12,14],[2,4,5,9,11,12,13],[2,4,7,8,9,10,13],[2,4,7,8,11,12,14],[2,5,6,7,10,12,13],[2,5,6,9,11,13,14],[3,4,5,7,10,11,14],[3,4,6,8,9,11,13],[3,4,6,10,12,13,14],[3,5,6,7,8,9,10],[3,5,7,8,11,12,13],[4,5,6,8,10,11,14]]; G[5469]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 5470: autom. group order 2, simple, residual B[5470]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,8,9,10,14],[1,3,5,7,11,13,14],[1,3,7,8,9,10,12],[1,4,5,6,7,12,14],[1,4,6,9,11,13,14],[1,4,7,9,10,12,13],[1,5,8,9,11,12,14],[1,6,7,8,10,11,13],[2,3,6,9,11,12,14],[2,3,7,8,12,13,14],[2,4,5,9,10,11,13],[2,4,7,8,10,11,14],[2,4,7,9,12,13,14],[2,5,6,7,8,9,13],[2,5,6,7,10,11,12],[3,4,5,8,10,13,14],[3,4,6,7,8,9,11],[3,4,6,8,11,12,13],[3,5,6,9,10,12,13],[3,5,7,9,10,11,14],[4,5,6,8,10,12,14]]; G[5470]:=Group([(1,14)(2,10)(3,8)(7,12)(9,13)]); # Design 5471: autom. group order 2, simple, residual B[5471]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,12,14],[1,2,6,9,10,13,14],[1,3,5,7,11,13,14],[1,3,7,9,10,12,14],[1,4,5,6,7,12,13],[1,4,6,8,11,13,14],[1,4,7,8,10,12,14],[1,5,8,9,11,12,13],[1,6,7,8,9,10,11],[2,3,6,11,12,13,14],[2,3,7,8,9,12,13],[2,4,5,8,10,11,14],[2,4,7,8,12,13,14],[2,4,7,9,10,11,13],[2,5,6,7,8,9,14],[2,5,6,7,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,9,11,14],[3,4,6,8,9,11,12],[3,5,6,8,10,12,14],[3,5,7,8,10,11,13],[4,5,6,9,10,12,13]]; G[5471]:=Group([(1,13)(2,10)(3,9)(7,12)(8,14)]); # Design 5472: autom. group order 2, simple, residual B[5472]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,8,9,12,14],[1,3,5,8,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,7,11,14],[1,4,6,7,8,12,13],[1,4,7,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,7,9,12,13],[2,3,7,8,10,11,14],[2,4,5,9,11,12,13],[2,4,7,8,9,10,13],[2,4,7,8,11,12,14],[2,5,6,7,10,12,14],[2,5,6,9,11,13,14],[3,4,5,9,10,12,14],[3,4,6,8,9,11,14],[3,4,6,10,12,13,14],[3,5,6,7,8,9,10],[3,5,7,8,11,12,13],[4,5,6,8,10,11,13]]; G[5472]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 5473: autom. group order 2, simple, residual B[5473]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,8,9,12,14],[1,3,5,8,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,7,11,14],[1,4,6,7,8,12,13],[1,4,7,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,7,9,12,14],[2,3,7,8,10,11,14],[2,4,5,9,11,12,13],[2,4,7,8,9,10,13],[2,4,7,8,11,12,14],[2,5,6,7,10,12,13],[2,5,6,9,11,13,14],[3,4,5,9,10,12,14],[3,4,6,8,9,11,13],[3,4,6,10,12,13,14],[3,5,6,7,8,9,10],[3,5,7,8,11,12,13],[4,5,6,8,10,11,14]]; G[5473]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 5474: autom. group order 2, simple, residual B[5474]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,6,7,8,10,14],[1,3,5,8,9,11,14],[1,3,7,8,11,13,14],[1,4,5,6,9,12,13],[1,4,6,8,12,13,14],[1,4,7,8,9,10,13],[1,5,9,10,11,12,14],[1,6,7,9,10,11,12],[2,3,7,9,12,13,14],[2,3,8,9,10,12,13],[2,4,5,10,11,13,14],[2,4,6,7,9,11,14],[2,4,7,8,9,11,12],[2,5,6,8,9,10,14],[2,5,6,8,11,12,13],[3,4,5,7,10,12,14],[3,4,6,8,11,12,14],[3,4,6,9,10,13,14],[3,5,6,7,8,10,12],[3,5,6,7,9,11,13],[4,5,7,8,10,11,13]]; G[5474]:=Group([(2,10)(3,11)(4,12)(5,9)(8,14)]); # Design 5475: autom. group order 2, simple, residual B[5475]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,13,14],[1,2,6,7,9,11,13],[1,3,5,9,10,11,14],[1,3,7,10,11,12,13],[1,4,5,6,8,11,12],[1,4,6,9,12,13,14],[1,4,7,8,9,10,14],[1,5,8,11,12,13,14],[1,6,7,8,9,10,12],[2,3,7,8,9,12,13],[2,3,8,9,11,12,14],[2,4,5,9,10,12,13],[2,4,6,7,11,12,14],[2,4,7,8,10,11,14],[2,5,6,8,10,11,13],[2,5,6,9,10,12,14],[3,4,5,7,12,13,14],[3,4,6,8,9,11,13],[3,4,6,8,10,13,14],[3,5,6,7,8,10,12],[3,5,6,7,9,11,14],[4,5,7,9,10,11,13]]; G[5475]:=Group([(1,9)(2,11)(4,14)(8,10)]); # Design 5476: autom. group order 2, simple, residual B[5476]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,6,7,9,11,13],[1,3,5,9,10,11,14],[1,3,7,10,11,12,13],[1,4,5,6,8,11,12],[1,4,6,9,12,13,14],[1,4,7,8,9,10,14],[1,5,8,11,12,13,14],[1,6,7,8,9,10,12],[2,3,7,8,9,12,13],[2,3,8,9,11,12,14],[2,4,5,9,10,12,13],[2,4,6,7,11,12,14],[2,4,7,8,10,11,14],[2,5,6,8,10,11,13],[2,5,6,9,10,12,14],[3,4,5,7,12,13,14],[3,4,6,8,10,13,14],[3,4,6,9,10,11,13],[3,5,6,7,8,10,12],[3,5,6,7,9,11,14],[4,5,7,8,9,11,13]]; G[5476]:=Group([(1,9)(2,11)(4,14)(8,10)]); # Design 5477: autom. group order 2, simple, residual B[5477]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,6,7,8,10,14],[1,3,5,8,9,11,14],[1,3,7,8,11,13,14],[1,4,5,6,9,12,13],[1,4,6,8,12,13,14],[1,4,7,8,9,10,13],[1,5,9,10,11,12,14],[1,6,7,9,10,11,12],[2,3,7,9,12,13,14],[2,3,8,9,10,12,13],[2,4,5,10,11,13,14],[2,4,6,9,11,13,14],[2,4,7,8,9,11,12],[2,5,6,7,8,11,12],[2,5,6,8,9,10,14],[3,4,5,7,10,12,14],[3,4,6,7,9,10,14],[3,4,6,8,11,12,14],[3,5,6,7,9,11,13],[3,5,6,8,10,12,13],[4,5,7,8,10,11,13]]; G[5477]:=Group([(2,10)(3,11)(4,12)(5,9)(8,14)]); # Design 5478: autom. group order 2, simple, residual B[5478]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,13,14],[1,2,6,7,9,11,13],[1,3,5,9,10,11,14],[1,3,7,10,11,12,13],[1,4,5,6,8,11,12],[1,4,6,9,12,13,14],[1,4,8,9,10,13,14],[1,5,7,8,9,10,12],[1,6,7,8,11,12,14],[2,3,7,8,9,12,13],[2,3,8,9,11,12,14],[2,4,5,11,12,13,14],[2,4,6,7,9,10,12],[2,4,7,8,10,11,14],[2,5,6,8,10,11,13],[2,5,6,9,10,12,14],[3,4,5,7,12,13,14],[3,4,6,7,8,10,14],[3,4,6,8,9,11,13],[3,5,6,7,9,11,14],[3,5,6,8,10,12,13],[4,5,7,9,10,11,13]]; G[5478]:=Group([(1,9)(2,11)(4,14)(8,10)]); # Design 5479: autom. group order 2, simple, residual B[5479]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,6,7,9,11,13],[1,3,5,9,10,11,14],[1,3,7,10,11,12,13],[1,4,5,6,8,11,12],[1,4,6,9,12,13,14],[1,4,8,9,10,13,14],[1,5,7,8,9,10,12],[1,6,7,8,11,12,14],[2,3,7,8,9,12,13],[2,3,8,9,11,12,14],[2,4,5,11,12,13,14],[2,4,6,7,9,10,12],[2,4,7,8,10,11,14],[2,5,6,8,10,11,13],[2,5,6,9,10,12,14],[3,4,5,7,12,13,14],[3,4,6,7,8,10,14],[3,4,6,9,10,11,13],[3,5,6,7,9,11,14],[3,5,6,8,10,12,13],[4,5,7,8,9,11,13]]; G[5479]:=Group([(1,9)(2,11)(4,14)(8,10)]); # Design 5480: autom. group order 2, simple, residual B[5480]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,7,9,10,14],[1,3,5,11,12,13,14],[1,3,7,9,10,12,14],[1,4,5,6,9,11,12],[1,4,6,8,11,13,14],[1,4,8,9,10,13,14],[1,5,7,8,9,12,13],[1,6,7,8,10,11,12],[2,3,7,8,9,11,13],[2,3,8,9,11,12,14],[2,4,5,8,10,12,14],[2,4,6,9,12,13,14],[2,4,7,10,11,12,13],[2,5,6,7,8,12,14],[2,5,6,9,10,11,13],[3,4,5,7,10,13,14],[3,4,6,7,8,12,13],[3,4,6,7,9,11,14],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13],[4,5,7,8,9,10,11]]; G[5480]:=Group([(1,14)(3,12)(4,8)(9,10)]); # Design 5481: autom. group order 2, simple, residual B[5481]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,7,9,10,14],[1,3,5,11,12,13,14],[1,3,7,9,10,12,14],[1,4,5,6,9,11,12],[1,4,6,8,11,13,14],[1,4,8,9,10,13,14],[1,5,7,8,10,12,13],[1,6,7,8,9,11,12],[2,3,7,8,9,11,13],[2,3,8,9,11,12,14],[2,4,5,8,10,12,14],[2,4,6,9,12,13,14],[2,4,7,10,11,12,13],[2,5,6,7,8,12,14],[2,5,6,9,10,11,13],[3,4,5,7,9,13,14],[3,4,6,7,8,12,13],[3,4,6,7,10,11,14],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13],[4,5,7,8,9,10,11]]; G[5481]:=Group([(1,14)(3,12)(4,8)(9,10)]); # Design 5482: autom. group order 2, simple, residual B[5482]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,10,13,14],[1,2,6,7,8,12,14],[1,3,5,9,12,13,14],[1,3,8,9,11,13,14],[1,4,5,6,9,11,14],[1,4,6,7,9,12,13],[1,4,7,8,10,13,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,7,8,9,12,13],[2,3,7,9,10,11,14],[2,4,5,8,11,12,13],[2,4,6,8,9,10,13],[2,4,7,9,11,12,14],[2,5,6,8,11,13,14],[2,5,6,9,10,12,14],[3,4,5,8,10,12,14],[3,4,6,7,8,11,14],[3,4,6,10,12,13,14],[3,5,6,7,8,9,10],[3,5,6,7,11,12,13],[4,5,7,9,10,11,13]]; G[5482]:=Group([(2,11)(3,10)(4,12)(5,8)(7,9)]); # Design 5483: autom. group order 2, simple, residual B[5483]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,10,13,14],[1,2,6,7,8,12,14],[1,3,5,9,12,13,14],[1,3,8,9,11,13,14],[1,4,5,6,9,11,14],[1,4,6,7,9,12,13],[1,4,7,8,10,13,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,7,8,9,12,13],[2,3,7,9,10,11,14],[2,4,5,8,11,12,13],[2,4,6,8,9,10,14],[2,4,7,9,11,12,14],[2,5,6,8,11,13,14],[2,5,6,9,10,12,13],[3,4,5,8,10,12,14],[3,4,6,7,8,11,13],[3,4,6,10,12,13,14],[3,5,6,7,8,9,10],[3,5,6,7,11,12,14],[4,5,7,9,10,11,13]]; G[5483]:=Group([(2,11)(3,10)(4,12)(5,8)(7,9)]); # Design 5484: autom. group order 2, simple B[5484]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,10,13,14],[1,2,6,7,8,11,14],[1,3,5,8,12,13,14],[1,3,8,9,11,13,14],[1,4,5,6,9,12,13],[1,4,6,7,8,12,14],[1,4,7,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,7,8,9,12,13],[2,3,7,9,10,12,14],[2,4,5,9,11,12,14],[2,4,6,8,9,10,13],[2,4,7,8,11,12,13],[2,5,6,8,10,12,14],[2,5,6,9,11,13,14],[3,4,5,8,10,11,14],[3,4,6,7,9,11,14],[3,4,6,10,12,13,14],[3,5,6,7,8,9,10],[3,5,6,7,11,12,13],[4,5,7,8,10,11,13]]; G[5484]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 5485: autom. group order 2, simple B[5485]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,10,13,14],[1,2,6,7,8,11,14],[1,3,5,8,12,13,14],[1,3,8,9,11,13,14],[1,4,5,6,9,12,13],[1,4,6,7,8,12,14],[1,4,7,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,7,8,9,12,13],[2,3,7,9,10,12,14],[2,4,5,9,11,12,14],[2,4,6,8,9,10,14],[2,4,7,8,11,12,13],[2,5,6,8,10,12,13],[2,5,6,9,11,13,14],[3,4,5,8,10,11,14],[3,4,6,7,9,11,13],[3,4,6,10,12,13,14],[3,5,6,7,8,9,10],[3,5,6,7,11,12,14],[4,5,7,8,10,11,13]]; G[5485]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 5486: autom. group order 2, simple, residual B[5486]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,10,13,14],[1,2,6,7,8,11,14],[1,3,5,8,12,13,14],[1,3,8,9,11,13,14],[1,4,5,6,9,12,14],[1,4,6,7,8,12,13],[1,4,7,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,7,8,9,12,13],[2,3,7,9,10,12,14],[2,4,5,9,11,12,13],[2,4,6,8,9,10,13],[2,4,7,8,11,12,14],[2,5,6,8,10,12,14],[2,5,6,9,11,13,14],[3,4,5,8,10,11,14],[3,4,6,7,9,11,14],[3,4,6,10,12,13,14],[3,5,6,7,8,9,10],[3,5,6,7,11,12,13],[4,5,7,8,10,11,13]]; G[5486]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 5487: autom. group order 2, simple, residual B[5487]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,10,13,14],[1,2,6,7,8,11,14],[1,3,5,8,12,13,14],[1,3,8,9,11,13,14],[1,4,5,6,9,12,14],[1,4,6,7,8,12,13],[1,4,7,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,7,8,9,12,13],[2,3,7,9,10,12,14],[2,4,5,9,11,12,13],[2,4,6,8,9,10,14],[2,4,7,8,11,12,14],[2,5,6,8,10,12,13],[2,5,6,9,11,13,14],[3,4,5,8,10,11,14],[3,4,6,7,9,11,13],[3,4,6,10,12,13,14],[3,5,6,7,8,9,10],[3,5,6,7,11,12,14],[4,5,7,8,10,11,13]]; G[5487]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 5488: autom. group order 2, simple, residual B[5488]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,7,9,12,14],[1,3,5,9,10,13,14],[1,3,8,9,12,13,14],[1,4,5,6,11,12,13],[1,4,6,7,9,10,14],[1,4,7,8,11,13,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,7,8,10,11,14],[2,3,7,9,11,12,13],[2,4,5,8,10,12,14],[2,4,6,8,9,11,13],[2,4,7,9,10,12,13],[2,5,6,8,12,13,14],[2,5,6,9,10,11,14],[3,4,5,9,11,12,14],[3,4,6,7,8,12,14],[3,4,6,10,11,13,14],[3,5,6,7,8,9,11],[3,5,6,7,10,12,13],[4,5,7,8,9,10,13]]; G[5488]:=Group([(2,12)(3,11)(4,10)(5,8)(7,9)]); # Design 5489: autom. group order 2, simple, residual B[5489]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,7,9,12,14],[1,3,5,9,10,13,14],[1,3,8,9,12,13,14],[1,4,5,6,11,12,13],[1,4,6,7,9,10,14],[1,4,7,8,11,13,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,7,8,10,11,14],[2,3,7,9,11,12,13],[2,4,5,8,10,12,14],[2,4,6,8,9,11,14],[2,4,7,9,10,12,13],[2,5,6,8,12,13,14],[2,5,6,9,10,11,13],[3,4,5,9,11,12,14],[3,4,6,7,8,12,13],[3,4,6,10,11,13,14],[3,5,6,7,8,9,11],[3,5,6,7,10,12,14],[4,5,7,8,9,10,13]]; G[5489]:=Group([(2,12)(3,11)(4,10)(5,8)(7,9)]); # Design 5490: autom. group order 2, simple, residual B[5490]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,11,12,13],[1,3,5,7,9,11,12],[1,3,7,8,10,13,14],[1,4,5,6,10,12,14],[1,4,6,8,9,12,13],[1,4,7,9,12,13,14],[1,5,8,9,10,11,14],[1,6,7,8,9,10,11],[2,3,7,8,9,12,14],[2,3,9,10,11,12,13],[2,4,5,8,9,10,13],[2,4,6,7,9,11,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,13],[2,5,6,8,11,12,14],[3,4,5,8,11,13,14],[3,4,6,7,8,11,13],[3,4,6,9,10,11,14],[3,5,6,7,8,10,12],[3,5,6,9,12,13,14],[4,5,7,10,11,12,13]]; G[5490]:=Group([(1,13)(3,10)(4,9)]); # Design 5491: autom. group order 2, simple, residual B[5491]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,11,12,13],[1,3,5,7,9,11,12],[1,3,7,8,9,13,14],[1,4,5,6,8,10,14],[1,4,6,8,9,12,13],[1,4,7,10,12,13,14],[1,5,9,10,11,12,14],[1,6,7,8,9,10,11],[2,3,7,8,10,12,14],[2,3,8,9,10,11,13],[2,4,5,9,10,12,13],[2,4,6,7,9,11,14],[2,4,7,8,9,12,14],[2,5,6,7,9,10,13],[2,5,6,8,11,12,14],[3,4,5,8,11,13,14],[3,4,6,7,11,12,13],[3,4,6,9,10,11,14],[3,5,6,7,8,10,12],[3,5,6,9,12,13,14],[4,5,7,8,10,11,13]]; G[5491]:=Group([(1,13)(3,10)(4,9)(8,12)]); # Design 5492: autom. group order 2, simple, residual B[5492]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,11,12,13],[1,3,5,7,9,11,12],[1,3,7,8,9,13,14],[1,4,5,6,8,10,14],[1,4,6,8,9,12,13],[1,4,7,10,12,13,14],[1,5,8,9,10,11,14],[1,6,7,9,10,11,12],[2,3,7,8,10,12,14],[2,3,8,9,10,11,13],[2,4,5,9,10,12,13],[2,4,6,7,9,11,14],[2,4,7,8,9,12,14],[2,5,6,7,9,10,13],[2,5,6,8,11,12,14],[3,4,5,11,12,13,14],[3,4,6,7,8,11,13],[3,4,6,9,10,11,14],[3,5,6,7,8,10,12],[3,5,6,9,12,13,14],[4,5,7,8,10,11,13]]; G[5492]:=Group([(1,13)(3,10)(4,9)(8,12)]); # Design 5493: autom. group order 2, simple B[5493]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,13,14],[1,3,5,7,12,13,14],[1,3,7,9,11,12,14],[1,4,5,6,9,10,12],[1,4,6,10,11,13,14],[1,4,7,8,9,11,14],[1,5,8,9,10,12,13],[1,6,7,8,10,11,12],[2,3,7,9,10,11,13],[2,3,8,9,10,12,14],[2,4,5,11,12,13,14],[2,4,6,7,9,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,10,11],[2,5,6,8,11,12,14],[3,4,5,8,10,11,14],[3,4,6,7,8,12,13],[3,4,6,8,9,11,13],[3,5,6,7,8,10,14],[3,5,6,9,11,12,13],[4,5,7,9,10,13,14]]; G[5493]:=Group([(1,14)(2,10)(4,8)(9,11)]); # Design 5494: autom. group order 2, simple B[5494]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,13,14],[1,3,5,7,12,13,14],[1,3,7,9,11,12,14],[1,4,5,6,9,10,12],[1,4,6,10,11,13,14],[1,4,7,8,9,11,14],[1,5,8,10,11,12,13],[1,6,7,8,9,10,12],[2,3,7,9,10,11,13],[2,3,8,9,10,12,14],[2,4,5,9,12,13,14],[2,4,6,7,11,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,10,11],[2,5,6,8,11,12,14],[3,4,5,8,10,11,14],[3,4,6,7,8,12,13],[3,4,6,8,9,11,13],[3,5,6,7,8,10,14],[3,5,6,9,11,12,13],[4,5,7,9,10,13,14]]; G[5494]:=Group([(1,14)(2,10)(4,8)(9,11)]); # Design 5495: autom. group order 2, simple, residual B[5495]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,10,13,14],[1,3,7,8,9,12,14],[1,4,5,6,9,11,12],[1,4,6,9,10,13,14],[1,4,7,8,9,11,14],[1,5,8,10,11,12,13],[1,6,7,8,10,11,12],[2,3,7,9,11,12,13],[2,3,8,9,10,11,14],[2,4,5,8,10,12,14],[2,4,6,7,8,11,13],[2,4,7,9,10,12,13],[2,5,6,7,8,12,14],[2,5,6,9,10,11,14],[3,4,5,11,12,13,14],[3,4,6,7,10,11,14],[3,4,6,8,12,13,14],[3,5,6,7,9,10,12],[3,5,6,8,9,11,13],[4,5,7,8,9,10,13]]; G[5495]:=Group([(2,12)(3,11)(4,10)(5,8)(9,13)]); # Design 5496: autom. group order 2, simple, residual B[5496]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,8,11,13,14],[1,3,5,7,12,13,14],[1,3,7,8,9,11,14],[1,4,5,6,9,12,13],[1,4,6,8,12,13,14],[1,4,7,9,10,13,14],[1,5,8,9,10,11,12],[1,6,7,9,10,11,12],[2,3,7,8,9,12,13],[2,3,9,10,12,13,14],[2,4,5,9,11,12,14],[2,4,6,8,9,10,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,13],[2,5,6,7,10,12,14],[3,4,5,10,11,13,14],[3,4,6,7,8,10,12],[3,4,6,7,9,11,14],[3,5,6,8,9,10,13],[3,5,6,8,11,12,14],[4,5,7,8,10,11,13]]; G[5496]:=Group([(2,11)(3,10)(4,12)(5,9)]); # Design 5497: autom. group order 2, simple, residual B[5497]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,9,10,13,14],[1,3,5,7,12,13,14],[1,3,7,9,10,12,14],[1,4,5,6,9,11,12],[1,4,6,8,11,13,14],[1,4,7,8,9,10,14],[1,5,8,9,11,12,13],[1,6,7,8,10,11,12],[2,3,7,8,9,11,13],[2,3,8,9,11,12,14],[2,4,5,8,10,12,14],[2,4,6,9,12,13,14],[2,4,7,10,11,12,13],[2,5,6,7,8,12,14],[2,5,6,7,9,10,11],[3,4,5,10,11,13,14],[3,4,6,7,8,12,13],[3,4,6,7,9,11,14],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13],[4,5,7,8,9,10,13]]; G[5497]:=Group([(1,14)(3,12)(4,8)(9,10)]); # Design 5498: autom. group order 2, simple, residual B[5498]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,9,10,13,14],[1,3,5,7,12,13,14],[1,3,7,9,10,12,14],[1,4,5,6,9,11,12],[1,4,6,8,11,13,14],[1,4,7,8,9,10,14],[1,5,8,10,11,12,13],[1,6,7,8,9,11,12],[2,3,7,8,9,11,13],[2,3,8,9,11,12,14],[2,4,5,8,10,12,14],[2,4,6,9,12,13,14],[2,4,7,10,11,12,13],[2,5,6,7,8,12,14],[2,5,6,7,9,10,11],[3,4,5,9,11,13,14],[3,4,6,7,8,12,13],[3,4,6,7,10,11,14],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13],[4,5,7,8,9,10,13]]; G[5498]:=Group([(1,14)(3,12)(4,8)(9,10)]); # Design 5499: autom. group order 2, simple, residual B[5499]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,10,13,14],[1,3,7,8,9,12,14],[1,4,5,6,9,11,12],[1,4,6,9,10,13,14],[1,4,7,8,9,11,14],[1,5,8,10,11,12,13],[1,6,7,8,10,11,12],[2,3,7,9,11,12,13],[2,3,8,9,10,11,14],[2,4,5,8,10,12,14],[2,4,6,8,11,13,14],[2,4,7,9,10,12,13],[2,5,6,7,8,12,14],[2,5,6,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,8,12,13],[3,4,6,7,10,11,14],[3,5,6,8,9,11,13],[3,5,6,9,10,12,14],[4,5,7,8,9,10,13]]; G[5499]:=Group([(2,12)(3,11)(4,10)(5,8)(9,13)]); # Design 5500: autom. group order 2, simple B[5500]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,10,11,13],[1,2,6,8,9,12,13],[1,3,5,8,11,13,14],[1,3,7,8,10,12,14],[1,4,5,6,7,9,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,14],[1,5,8,9,10,11,12],[1,6,7,8,9,10,13],[2,3,7,8,9,11,14],[2,3,7,9,12,13,14],[2,4,5,8,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,10,11,13],[2,5,6,7,8,11,12],[2,5,6,9,10,12,14],[3,4,5,9,10,12,13],[3,4,6,7,8,10,12],[3,4,6,8,9,11,13],[3,5,6,7,11,12,13],[3,5,6,9,10,11,14],[4,5,7,8,10,13,14]]; G[5500]:=Group([(2,12)(3,11)(5,14)(6,9)(8,13)]); # Design 5501: autom. group order 2, simple B[5501]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,6,8,10,13,14],[1,3,5,8,9,11,14],[1,3,7,8,11,13,14],[1,4,5,6,9,12,13],[1,4,6,7,8,12,14],[1,4,7,8,9,10,13],[1,5,9,10,11,12,14],[1,6,7,9,10,11,12],[2,3,7,8,9,10,12],[2,3,7,9,12,13,14],[2,4,5,7,10,11,14],[2,4,6,7,9,11,14],[2,4,8,9,11,12,13],[2,5,6,8,9,10,14],[2,5,6,8,11,12,13],[3,4,5,10,12,13,14],[3,4,6,8,11,12,14],[3,4,6,9,10,13,14],[3,5,6,7,8,10,12],[3,5,6,7,9,11,13],[4,5,7,8,10,11,13]]; G[5501]:=Group([(2,10)(3,11)(4,12)(5,9)(8,14)]); # Design 5502: autom. group order 2, simple B[5502]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,6,8,10,13,14],[1,3,5,8,9,11,14],[1,3,7,8,11,13,14],[1,4,5,6,9,12,13],[1,4,6,7,8,12,14],[1,4,7,8,9,10,13],[1,5,9,10,11,12,14],[1,6,7,9,10,11,12],[2,3,7,8,9,10,12],[2,3,7,9,12,13,14],[2,4,5,7,10,11,14],[2,4,6,9,11,13,14],[2,4,8,9,11,12,13],[2,5,6,7,8,11,12],[2,5,6,8,9,10,14],[3,4,5,10,12,13,14],[3,4,6,7,9,10,14],[3,4,6,8,11,12,14],[3,5,6,7,9,11,13],[3,5,6,8,10,12,13],[4,5,7,8,10,11,13]]; G[5502]:=Group([(2,10)(3,11)(4,12)(5,9)(8,14)]); # Design 5503: autom. group order 2, simple, residual B[5503]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,11,12,13],[1,3,5,9,11,12,14],[1,3,7,8,9,13,14],[1,4,5,6,8,10,14],[1,4,6,8,9,12,13],[1,4,7,10,12,13,14],[1,5,7,9,10,11,12],[1,6,7,8,9,10,11],[2,3,7,8,10,12,14],[2,3,8,9,10,11,13],[2,4,5,9,10,12,13],[2,4,6,7,9,11,14],[2,4,7,8,9,12,14],[2,5,6,7,9,10,13],[2,5,6,8,11,12,14],[3,4,5,7,8,11,13],[3,4,6,7,11,12,13],[3,4,6,9,10,11,14],[3,5,6,7,8,10,12],[3,5,6,9,12,13,14],[4,5,8,10,11,13,14]]; G[5503]:=Group([(1,13)(3,10)(4,9)(8,12)]); # Design 5504: autom. group order 2, simple, residual B[5504]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,11,12,13],[1,3,5,9,11,12,14],[1,3,7,8,9,13,14],[1,4,5,6,8,10,14],[1,4,6,8,9,12,13],[1,4,7,10,12,13,14],[1,5,7,8,9,10,11],[1,6,7,9,10,11,12],[2,3,7,8,10,12,14],[2,3,8,9,10,11,13],[2,4,5,9,10,12,13],[2,4,6,7,9,11,14],[2,4,7,8,9,12,14],[2,5,6,7,9,10,13],[2,5,6,8,11,12,14],[3,4,5,7,11,12,13],[3,4,6,7,8,11,13],[3,4,6,9,10,11,14],[3,5,6,7,8,10,12],[3,5,6,9,12,13,14],[4,5,8,10,11,13,14]]; G[5504]:=Group([(1,13)(3,10)(4,9)(8,12)]); # Design 5505: autom. group order 2, simple, residual B[5505]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,11,12,13],[1,3,5,8,9,11,14],[1,3,7,8,10,13,14],[1,4,5,6,10,12,14],[1,4,6,8,9,12,13],[1,4,7,9,12,13,14],[1,5,7,9,10,11,12],[1,6,7,8,9,10,11],[2,3,7,8,9,12,14],[2,3,9,10,11,12,13],[2,4,5,8,9,10,13],[2,4,6,7,9,11,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,13],[2,5,6,8,11,12,14],[3,4,5,7,11,12,13],[3,4,6,7,8,11,13],[3,4,6,9,10,11,14],[3,5,6,7,8,10,12],[3,5,6,9,12,13,14],[4,5,8,10,11,13,14]]; G[5505]:=Group([(1,13)(3,10)(4,9)]); # Design 5506: autom. group order 2, simple, residual B[5506]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,8,12,14],[1,3,5,7,9,13,14],[1,3,7,8,11,12,14],[1,4,5,6,9,11,12],[1,4,6,10,11,13,14],[1,4,7,8,9,10,13],[1,5,8,9,10,12,14],[1,6,7,9,11,12,13],[2,3,7,9,10,11,14],[2,3,8,9,11,12,13],[2,4,5,7,12,13,14],[2,4,6,8,9,11,14],[2,4,7,9,10,12,13],[2,5,6,7,8,11,13],[2,5,6,9,10,12,14],[3,4,5,11,12,13,14],[3,4,6,7,8,10,12],[3,4,6,8,9,13,14],[3,5,6,7,9,10,11],[3,5,6,8,10,12,13],[4,5,7,8,10,11,14]]; G[5506]:=Group([(1,8)(3,11)(4,13)(9,10)]); # Design 5507: autom. group order 2, simple, residual B[5507]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,9,12,14],[1,3,5,7,10,13,14],[1,3,7,9,11,12,14],[1,4,5,6,8,11,12],[1,4,6,10,11,13,14],[1,4,7,8,9,10,13],[1,5,8,9,10,12,14],[1,6,7,8,11,12,13],[2,3,7,8,10,11,14],[2,3,8,9,11,12,13],[2,4,5,7,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,9,11,13],[2,5,6,8,10,12,14],[3,4,5,11,12,13,14],[3,4,6,7,9,10,12],[3,4,6,8,9,13,14],[3,5,6,7,8,10,11],[3,5,6,9,10,12,13],[4,5,7,8,9,11,14]]; G[5507]:=Group([(1,9)(3,11)(4,13)(8,10)]); # Design 5508: autom. group order 2, simple B[5508]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,7,8,11,14],[1,3,5,7,12,13,14],[1,3,8,9,11,13,14],[1,4,5,6,9,12,13],[1,4,6,7,8,12,14],[1,4,7,9,10,13,14],[1,5,8,9,10,11,12],[1,6,7,9,10,11,12],[2,3,7,8,9,12,13],[2,3,7,9,10,12,14],[2,4,5,9,11,12,14],[2,4,6,8,9,10,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,13],[2,5,6,10,12,13,14],[3,4,5,7,10,11,14],[3,4,6,8,10,12,13],[3,4,6,9,11,13,14],[3,5,6,7,8,9,10],[3,5,6,8,11,12,14],[4,5,7,8,10,11,13]]; G[5508]:=Group([(2,11)(3,10)(4,12)(5,9)]); # Design 5509: autom. group order 2, simple, residual B[5509]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,7,8,11,14],[1,3,5,7,12,13,14],[1,3,8,9,11,13,14],[1,4,5,6,9,12,14],[1,4,6,7,8,12,13],[1,4,7,9,10,13,14],[1,5,8,9,10,11,12],[1,6,7,9,10,11,12],[2,3,7,8,9,12,13],[2,3,7,9,10,12,14],[2,4,5,9,11,12,13],[2,4,6,8,9,10,14],[2,4,7,8,11,12,14],[2,5,6,7,9,11,13],[2,5,6,10,12,13,14],[3,4,5,7,10,11,14],[3,4,6,8,10,12,13],[3,4,6,9,11,13,14],[3,5,6,7,8,9,10],[3,5,6,8,11,12,14],[4,5,7,8,10,11,13]]; G[5509]:=Group([(2,11)(3,10)(4,12)(5,9)]); # Design 5510: autom. group order 2, simple B[5510]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,8,10,12],[1,3,5,8,12,13,14],[1,3,7,9,10,11,13],[1,4,5,6,7,9,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,14],[1,5,8,9,10,11,12],[1,6,7,8,9,10,13],[2,3,7,8,9,11,14],[2,3,7,9,12,13,14],[2,4,5,9,10,12,13],[2,4,6,8,9,11,13],[2,4,7,8,10,12,14],[2,5,6,7,11,12,13],[2,5,6,9,10,11,14],[3,4,5,7,10,11,13],[3,4,6,8,9,12,13],[3,4,6,8,10,11,14],[3,5,6,7,8,11,12],[3,5,6,9,10,12,14],[4,5,7,8,10,13,14]]; G[5510]:=Group([(2,11)(3,12)(5,14)(6,9)(8,13)]); # Design 5511: autom. group order 2, simple, residual B[5511]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,12,13],[1,3,5,9,10,12,14],[1,3,7,10,11,12,13],[1,4,5,6,8,11,12],[1,4,6,9,11,13,14],[1,4,7,8,9,10,14],[1,5,7,8,9,10,13],[1,6,7,8,11,12,14],[2,3,7,8,9,11,13],[2,3,8,9,11,12,14],[2,4,5,7,12,13,14],[2,4,6,7,9,10,11],[2,4,7,8,10,12,14],[2,5,6,8,10,12,13],[2,5,6,9,10,11,14],[3,4,5,7,11,13,14],[3,4,6,8,9,12,13],[3,4,6,8,10,13,14],[3,5,6,7,8,10,11],[3,5,6,7,9,12,14],[4,5,9,10,11,12,13]]; G[5511]:=Group([(1,9)(2,12)(4,14)(8,10)]); # Design 5512: autom. group order 2, simple, residual B[5512]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,13,14],[1,2,6,7,9,12,13],[1,3,5,9,10,12,14],[1,3,7,10,11,12,13],[1,4,5,6,8,11,12],[1,4,6,9,11,13,14],[1,4,7,8,9,10,14],[1,5,7,8,9,10,13],[1,6,7,8,11,12,14],[2,3,7,8,9,11,13],[2,3,8,9,11,12,14],[2,4,5,7,12,13,14],[2,4,6,7,9,10,11],[2,4,7,8,10,12,14],[2,5,6,8,10,12,13],[2,5,6,9,10,11,14],[3,4,5,7,11,13,14],[3,4,6,8,10,13,14],[3,4,6,9,10,12,13],[3,5,6,7,8,10,11],[3,5,6,7,9,12,14],[4,5,8,9,11,12,13]]; G[5512]:=Group([(1,9)(2,12)(4,14)(8,10)]); # Design 5513: autom. group order 2, simple, residual B[5513]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,13,14],[1,2,6,7,9,12,13],[1,3,5,9,10,12,14],[1,3,7,10,11,12,13],[1,4,5,6,8,11,12],[1,4,6,9,11,13,14],[1,4,7,8,9,10,14],[1,5,7,8,12,13,14],[1,6,7,8,9,10,11],[2,3,7,8,9,11,13],[2,3,8,9,11,12,14],[2,4,5,7,9,10,13],[2,4,6,7,11,12,14],[2,4,7,8,10,12,14],[2,5,6,8,10,12,13],[2,5,6,9,10,11,14],[3,4,5,7,11,13,14],[3,4,6,8,10,13,14],[3,4,6,9,10,12,13],[3,5,6,7,8,10,11],[3,5,6,7,9,12,14],[4,5,8,9,11,12,13]]; G[5513]:=Group([(1,9)(2,12)(4,14)(8,10)]); # Design 5514: autom. group order 2, simple B[5514]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,8,9,11,14],[1,3,5,7,10,13,14],[1,3,7,9,10,12,14],[1,4,5,6,7,11,12],[1,4,6,11,12,13,14],[1,4,7,8,9,13,14],[1,5,8,10,11,12,13],[1,6,7,8,9,10,12],[2,3,7,8,11,12,14],[2,3,7,9,11,12,13],[2,4,5,9,10,12,14],[2,4,6,7,10,13,14],[2,4,7,8,10,11,13],[2,5,6,7,9,12,13],[2,5,6,8,10,12,14],[3,4,5,8,12,13,14],[3,4,6,8,9,12,13],[3,4,6,9,10,11,14],[3,5,6,7,8,11,14],[3,5,6,9,10,11,13],[4,5,7,8,9,10,11]]; G[5514]:=Group([(2,11)(3,12)(5,6)(8,13)(9,14)]); # Design 5515: autom. group order 2, simple B[5515]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,8,9,11,14],[1,3,5,7,10,13,14],[1,3,7,9,10,12,14],[1,4,5,6,7,11,12],[1,4,6,11,12,13,14],[1,4,7,8,9,13,14],[1,5,8,10,11,12,13],[1,6,7,8,9,10,12],[2,3,7,8,11,12,14],[2,3,7,9,11,12,13],[2,4,5,9,10,12,14],[2,4,6,7,10,13,14],[2,4,7,8,10,11,13],[2,5,6,7,8,12,14],[2,5,6,9,10,12,13],[3,4,5,8,12,13,14],[3,4,6,8,9,12,13],[3,4,6,9,10,11,14],[3,5,6,7,9,11,13],[3,5,6,8,10,11,14],[4,5,7,8,9,10,11]]; G[5515]:=Group([(2,11)(3,12)(5,6)(8,13)(9,14)]); # Design 5516: autom. group order 2, simple B[5516]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,8,9,13,14],[1,3,5,7,11,13,14],[1,3,7,9,11,12,14],[1,4,5,6,9,10,11],[1,4,6,10,12,13,14],[1,4,7,8,9,12,14],[1,5,7,8,9,10,13],[1,6,7,8,10,11,12],[2,3,7,9,10,12,13],[2,3,8,9,10,11,14],[2,4,5,7,12,13,14],[2,4,6,7,9,11,14],[2,4,7,8,10,11,13],[2,5,6,7,9,10,12],[2,5,6,8,11,12,14],[3,4,5,8,10,12,14],[3,4,6,7,8,11,13],[3,4,6,8,9,12,13],[3,5,6,7,8,10,14],[3,5,6,9,11,12,13],[4,5,9,10,11,13,14]]; G[5516]:=Group([(1,14)(2,10)(4,8)(9,12)]); # Design 5517: autom. group order 2, simple B[5517]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,8,9,13,14],[1,3,5,7,11,13,14],[1,3,7,9,11,12,14],[1,4,5,6,9,10,11],[1,4,6,10,12,13,14],[1,4,7,8,9,12,14],[1,5,7,8,10,12,13],[1,6,7,8,9,10,11],[2,3,7,9,10,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,13,14],[2,4,6,7,11,12,14],[2,4,7,8,10,11,13],[2,5,6,7,9,10,12],[2,5,6,8,11,12,14],[3,4,5,8,10,12,14],[3,4,6,7,8,11,13],[3,4,6,8,9,12,13],[3,5,6,7,8,10,14],[3,5,6,9,11,12,13],[4,5,9,10,11,13,14]]; G[5517]:=Group([(1,14)(2,10)(4,8)(9,12)]); # Design 5518: autom. group order 2, simple, residual B[5518]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,11,12,13,14],[1,2,6,8,9,13,14],[1,3,5,7,11,13,14],[1,3,7,9,10,11,14],[1,4,5,6,9,11,12],[1,4,6,10,12,13,14],[1,4,7,8,9,10,14],[1,5,7,8,9,12,13],[1,6,7,8,10,11,12],[2,3,7,9,10,12,13],[2,3,8,9,11,12,14],[2,4,5,7,10,13,14],[2,4,6,7,9,11,14],[2,4,7,8,11,12,13],[2,5,6,7,9,10,12],[2,5,6,8,10,11,14],[3,4,5,8,10,12,14],[3,4,6,7,8,11,13],[3,4,6,9,12,13,14],[3,5,6,7,8,12,14],[3,5,6,9,10,11,13],[4,5,8,9,10,11,13]]; G[5518]:=Group([(1,14)(2,12)(4,8)(9,10)]); # Design 5519: autom. group order 2, simple, residual B[5519]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,11,12,13,14],[1,2,6,8,9,13,14],[1,3,5,7,11,13,14],[1,3,7,9,10,11,14],[1,4,5,6,9,11,12],[1,4,6,10,12,13,14],[1,4,7,8,9,10,14],[1,5,7,8,10,12,13],[1,6,7,8,9,11,12],[2,3,7,9,10,12,13],[2,3,8,9,11,12,14],[2,4,5,7,9,13,14],[2,4,6,7,10,11,14],[2,4,7,8,11,12,13],[2,5,6,7,9,10,12],[2,5,6,8,10,11,14],[3,4,5,8,10,12,14],[3,4,6,7,8,11,13],[3,4,6,9,12,13,14],[3,5,6,7,8,12,14],[3,5,6,9,10,11,13],[4,5,8,9,10,11,13]]; G[5519]:=Group([(1,14)(2,12)(4,8)(9,10)]); # Design 5520: autom. group order 2, simple B[5520]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,7,8,12,14],[1,3,5,9,12,13,14],[1,3,7,8,9,11,13],[1,4,5,6,9,13,14],[1,4,7,10,12,13,14],[1,4,8,10,11,13,14],[1,5,6,9,10,11,12],[1,6,7,8,9,11,12],[2,3,6,8,12,13,14],[2,3,7,9,11,13,14],[2,4,5,7,11,12,13],[2,4,6,8,9,10,13],[2,4,6,9,11,12,14],[2,5,7,9,10,11,14],[2,5,8,9,10,12,13],[3,4,5,8,11,12,14],[3,4,6,7,9,10,14],[3,4,7,8,9,10,12],[3,5,6,7,10,12,13],[3,5,6,8,10,11,14],[4,5,6,7,8,11,13]]; G[5520]:=Group([(2,14)(3,13)(5,10)(6,12)(9,11)]); # Design 5521: autom. group order 2, simple, residual B[5521]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,7,8,12,14],[1,3,5,9,12,13,14],[1,3,7,8,9,11,13],[1,4,5,6,9,13,14],[1,4,7,10,12,13,14],[1,4,8,10,11,13,14],[1,5,6,9,10,11,12],[1,6,7,8,9,11,12],[2,3,6,8,12,13,14],[2,3,7,9,11,13,14],[2,4,5,7,11,12,13],[2,4,6,8,9,10,13],[2,4,6,9,11,12,14],[2,5,7,9,10,12,13],[2,5,8,9,10,11,14],[3,4,5,8,11,12,14],[3,4,6,7,9,10,14],[3,4,7,8,9,10,12],[3,5,6,7,10,11,14],[3,5,6,8,10,12,13],[4,5,6,7,8,11,13]]; G[5521]:=Group([(2,14)(3,13)(5,10)(6,12)(9,11)]); # Design 5522: autom. group order 2, simple, residual B[5522]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,8,12,14],[1,3,5,9,11,12,14],[1,3,7,8,9,10,13],[1,4,5,6,9,13,14],[1,4,7,10,11,13,14],[1,4,8,11,12,13,14],[1,5,6,9,10,11,12],[1,6,7,8,9,10,12],[2,3,6,8,11,12,13],[2,3,7,9,10,11,14],[2,4,5,7,10,12,14],[2,4,6,8,9,11,14],[2,4,6,9,10,12,13],[2,5,7,9,11,12,13],[2,5,8,9,10,13,14],[3,4,5,8,10,12,13],[3,4,6,7,9,11,13],[3,4,7,8,9,12,14],[3,5,6,7,12,13,14],[3,5,6,8,10,11,14],[4,5,6,7,8,10,11]]; G[5522]:=Group([(2,13)(3,14)(5,11)(6,10)(9,12)]); # Design 5523: autom. group order 2, simple, residual B[5523]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,7,8,12,14],[1,3,5,9,12,13,14],[1,3,7,8,9,11,13],[1,4,5,6,9,13,14],[1,4,7,10,12,13,14],[1,4,8,10,11,13,14],[1,5,6,9,10,11,12],[1,6,7,8,9,11,12],[2,3,6,8,12,13,14],[2,3,7,9,11,13,14],[2,4,5,8,11,12,13],[2,4,6,7,9,10,13],[2,4,6,9,11,12,14],[2,5,7,9,10,12,13],[2,5,8,9,10,11,14],[3,4,5,7,11,12,14],[3,4,6,8,9,10,14],[3,4,7,8,9,10,12],[3,5,6,7,10,11,14],[3,5,6,8,10,12,13],[4,5,6,7,8,11,13]]; G[5523]:=Group([(2,14)(3,13)(5,10)(6,12)(9,11)]); # Design 5524: autom. group order 2, simple, residual B[5524]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,9,10,13],[1,2,6,9,11,12,14],[1,3,5,7,10,11,14],[1,3,8,9,12,13,14],[1,4,5,6,11,13,14],[1,4,7,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,8,10,12,13],[1,6,7,8,9,10,11],[2,3,6,7,8,10,12],[2,3,7,9,11,13,14],[2,4,5,10,12,13,14],[2,4,6,7,9,12,13],[2,4,6,8,10,11,14],[2,5,7,8,11,12,14],[2,5,8,9,10,11,13],[3,4,5,8,9,11,12],[3,4,6,9,10,11,13],[3,4,7,8,10,13,14],[3,5,6,7,11,12,13],[3,5,6,9,10,12,14],[4,5,6,7,8,9,14]]; G[5524]:=Group([(1,9)(2,8)(3,5)(6,11)(7,12)(10,14)]); # Design 5525: autom. group order 2, simple B[5525]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,9,11,12,14],[1,3,5,9,12,13,14],[1,3,7,8,9,10,12],[1,4,5,6,9,13,14],[1,4,7,10,12,13,14],[1,4,8,10,11,13,14],[1,5,6,7,8,11,13],[1,6,7,8,9,11,12],[2,3,6,8,12,13,14],[2,3,7,9,11,13,14],[2,4,5,7,11,12,13],[2,4,6,7,8,12,14],[2,4,6,8,9,10,13],[2,5,7,9,10,11,14],[2,5,8,9,10,12,13],[3,4,5,8,11,12,14],[3,4,6,7,9,10,14],[3,4,7,8,9,11,13],[3,5,6,7,10,12,13],[3,5,6,8,10,11,14],[4,5,6,9,10,11,12]]; G[5525]:=Group([(2,14)(3,13)(5,10)(6,12)(9,11)]); # Design 5526: autom. group order 2, simple, residual B[5526]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,9,11,12,14],[1,3,5,9,12,13,14],[1,3,7,8,9,10,12],[1,4,5,6,9,13,14],[1,4,7,10,12,13,14],[1,4,8,10,11,13,14],[1,5,6,7,8,11,13],[1,6,7,8,9,11,12],[2,3,6,8,12,13,14],[2,3,7,9,11,13,14],[2,4,5,7,11,12,13],[2,4,6,7,8,12,14],[2,4,6,8,9,10,13],[2,5,7,9,10,12,13],[2,5,8,9,10,11,14],[3,4,5,8,11,12,14],[3,4,6,7,9,10,14],[3,4,7,8,9,11,13],[3,5,6,7,10,11,14],[3,5,6,8,10,12,13],[4,5,6,9,10,11,12]]; G[5526]:=Group([(2,14)(3,13)(5,10)(6,12)(9,11)]); # Design 5527: autom. group order 2, simple, residual B[5527]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,13],[1,3,5,9,11,12,14],[1,3,7,8,9,12,14],[1,4,5,6,9,13,14],[1,4,7,10,11,13,14],[1,4,8,11,12,13,14],[1,5,6,7,8,10,11],[1,6,7,8,9,10,12],[2,3,6,8,11,12,13],[2,3,7,9,10,11,14],[2,4,5,7,10,12,14],[2,4,6,7,8,12,14],[2,4,6,8,9,11,14],[2,5,7,9,11,12,13],[2,5,8,9,10,13,14],[3,4,5,8,10,12,13],[3,4,6,7,9,11,13],[3,4,7,8,9,10,13],[3,5,6,7,12,13,14],[3,5,6,8,10,11,14],[4,5,6,9,10,11,12]]; G[5527]:=Group([(2,13)(3,14)(5,11)(6,10)(9,12)]); # Design 5528: autom. group order 2, simple, residual B[5528]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,11,14],[1,2,6,7,8,12,14],[1,3,5,7,12,13,14],[1,3,7,9,10,11,12],[1,4,5,6,11,13,14],[1,4,7,9,10,13,14],[1,4,8,10,12,13,14],[1,5,6,8,9,11,13],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,5,7,9,12,13],[2,4,6,7,10,11,13],[2,4,6,9,11,12,14],[2,5,7,8,9,10,14],[2,5,8,10,11,12,13],[3,4,5,8,11,12,14],[3,4,6,8,9,10,14],[3,4,7,8,9,11,13],[3,5,6,7,10,11,14],[3,5,6,9,10,12,13],[4,5,6,7,8,10,12]]; G[5528]:=Group([(2,14)(3,13)(5,10)(6,12)(7,8)]); # Design 5529: autom. group order 2, simple, residual B[5529]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,11,14],[1,2,6,7,8,12,14],[1,3,5,7,12,13,14],[1,3,7,9,10,11,12],[1,4,5,6,11,13,14],[1,4,7,9,10,13,14],[1,4,8,10,12,13,14],[1,5,6,8,9,11,13],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,5,7,11,12,13],[2,4,6,7,9,10,13],[2,4,6,9,11,12,14],[2,5,7,8,9,10,14],[2,5,8,10,11,12,13],[3,4,5,8,9,12,14],[3,4,6,8,10,11,14],[3,4,7,8,9,11,13],[3,5,6,7,10,11,14],[3,5,6,9,10,12,13],[4,5,6,7,8,10,12]]; G[5529]:=Group([(2,14)(3,13)(5,10)(6,12)(7,8)]); # Design 5530: autom. group order 2, simple B[5530]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,11,14],[1,2,6,7,8,12,14],[1,3,5,7,12,13,14],[1,3,7,9,10,11,12],[1,4,5,6,11,13,14],[1,4,7,9,10,13,14],[1,4,8,10,12,13,14],[1,5,6,8,9,11,13],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,5,7,11,12,13],[2,4,6,7,9,10,13],[2,4,6,9,11,12,14],[2,5,7,8,10,11,14],[2,5,8,9,10,12,13],[3,4,5,8,9,12,14],[3,4,6,8,10,11,14],[3,4,7,8,9,11,13],[3,5,6,7,9,10,14],[3,5,6,10,11,12,13],[4,5,6,7,8,10,12]]; G[5530]:=Group([(2,14)(3,13)(5,10)(6,12)(7,8)]); # Design 5531: autom. group order 2, simple, residual B[5531]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,9,10,13],[1,3,5,7,9,11,14],[1,3,7,8,9,12,14],[1,4,5,6,12,13,14],[1,4,7,8,11,13,14],[1,4,9,10,11,13,14],[1,5,6,8,10,11,12],[1,6,7,8,9,10,12],[2,3,6,8,9,11,13],[2,3,7,10,11,12,14],[2,4,5,9,10,12,14],[2,4,6,7,8,12,14],[2,4,6,8,9,11,14],[2,5,7,8,10,13,14],[2,5,7,9,11,12,13],[3,4,5,7,8,10,13],[3,4,6,7,11,12,13],[3,4,8,9,10,12,13],[3,5,6,8,10,11,14],[3,5,6,9,12,13,14],[4,5,6,7,9,10,11]]; G[5531]:=Group([(2,13)(3,14)(5,11)(6,10)(7,9)]); # Design 5532: autom. group order 2, simple, residual B[5532]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,8,11,14],[1,3,5,7,9,12,14],[1,3,8,9,10,11,13],[1,4,5,6,11,13,14],[1,4,7,8,12,13,14],[1,4,9,10,12,13,14],[1,5,6,7,9,10,12],[1,6,7,8,9,10,11],[2,3,6,8,9,12,13],[2,3,7,10,11,12,14],[2,4,5,9,10,11,14],[2,4,6,7,9,10,13],[2,4,6,8,9,12,14],[2,5,7,8,10,13,14],[2,5,7,9,11,12,13],[3,4,5,7,8,10,13],[3,4,6,7,11,12,13],[3,4,7,8,9,11,14],[3,5,6,8,10,12,14],[3,5,6,9,11,13,14],[4,5,6,8,10,11,12]]; G[5532]:=Group([(2,13)(3,14)(5,12)(6,10)(7,9)]); # Design 5533: autom. group order 2, simple, residual B[5533]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,11,14],[1,2,6,9,11,12,14],[1,3,5,7,12,13,14],[1,3,7,8,9,11,13],[1,4,5,6,11,13,14],[1,4,7,9,10,13,14],[1,4,8,10,12,13,14],[1,5,6,7,8,10,12],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,5,7,9,12,13],[2,4,6,7,8,12,14],[2,4,6,7,10,11,13],[2,5,7,8,9,10,14],[2,5,8,10,11,12,13],[3,4,5,8,11,12,14],[3,4,6,8,9,10,14],[3,4,7,9,10,11,12],[3,5,6,7,10,11,14],[3,5,6,9,10,12,13],[4,5,6,8,9,11,13]]; G[5533]:=Group([(2,14)(3,13)(5,10)(6,12)(7,8)]); # Design 5534: autom. group order 2, simple, residual B[5534]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,11,14],[1,2,6,9,11,12,14],[1,3,5,7,12,13,14],[1,3,7,8,9,11,13],[1,4,5,6,11,13,14],[1,4,7,9,10,13,14],[1,4,8,10,12,13,14],[1,5,6,7,8,10,12],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,5,7,11,12,13],[2,4,6,7,8,12,14],[2,4,6,7,9,10,13],[2,5,7,8,9,10,14],[2,5,8,10,11,12,13],[3,4,5,8,9,12,14],[3,4,6,8,10,11,14],[3,4,7,9,10,11,12],[3,5,6,7,10,11,14],[3,5,6,9,10,12,13],[4,5,6,8,9,11,13]]; G[5534]:=Group([(2,14)(3,13)(5,10)(6,12)(7,8)]); # Design 5535: autom. group order 2, simple B[5535]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,12,13],[1,3,5,10,11,12,14],[1,3,7,8,9,12,14],[1,4,5,6,9,10,14],[1,4,7,8,11,13,14],[1,4,7,9,11,12,13],[1,5,6,7,10,12,13],[1,6,8,9,10,11,14],[2,3,6,9,11,12,14],[2,3,7,9,10,11,13],[2,4,5,9,11,13,14],[2,4,6,10,12,13,14],[2,4,7,8,10,12,14],[2,5,6,7,8,11,14],[2,5,7,8,9,10,12],[3,4,5,8,12,13,14],[3,4,6,7,8,10,11],[3,4,6,8,9,10,13],[3,5,6,8,11,12,13],[3,5,7,9,10,13,14],[4,5,6,7,9,11,12]]; G[5535]:=Group([(1,12)(3,10)(5,14)(6,8)(9,13)]); # Design 5536: autom. group order 2, simple B[5536]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,12,14],[1,3,5,9,10,13,14],[1,3,7,10,11,12,14],[1,4,5,6,11,12,14],[1,4,7,8,9,10,14],[1,4,7,8,11,12,13],[1,5,6,9,10,12,13],[1,6,7,8,9,11,13],[2,3,6,9,11,12,13],[2,3,7,8,9,10,12],[2,4,5,8,12,13,14],[2,4,6,7,10,13,14],[2,4,9,10,11,13,14],[2,5,6,7,8,10,11],[2,5,7,9,11,12,14],[3,4,5,7,9,11,13],[3,4,6,8,9,11,14],[3,4,6,8,10,12,13],[3,5,6,8,10,11,14],[3,5,7,8,12,13,14],[4,5,6,7,9,10,12]]; G[5536]:=Group([(1,13)(3,14)(5,10)(8,11)]); # Design 5537: autom. group order 2, simple, residual B[5537]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,13,14],[1,2,6,8,9,11,12],[1,3,5,9,10,11,13],[1,3,7,11,12,13,14],[1,4,5,6,11,12,14],[1,4,7,8,9,11,13],[1,4,7,8,10,12,14],[1,5,6,9,10,12,13],[1,6,7,8,9,10,14],[2,3,6,9,10,12,14],[2,3,7,8,9,12,13],[2,4,5,8,12,13,14],[2,4,6,7,10,11,13],[2,4,9,10,11,13,14],[2,5,6,7,8,10,11],[2,5,7,9,11,12,14],[3,4,5,7,9,10,14],[3,4,6,8,9,11,14],[3,4,6,8,10,12,13],[3,5,6,8,11,13,14],[3,5,7,8,10,11,12],[4,5,6,7,9,12,13]]; G[5537]:=Group([(1,10)(3,11)(5,13)(8,14)]); # Design 5538: autom. group order 2, simple B[5538]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,12,14],[1,3,5,10,12,13,14],[1,3,7,9,10,11,14],[1,4,5,6,9,11,14],[1,4,7,8,9,11,13],[1,4,7,8,10,12,14],[1,5,6,9,10,12,13],[1,6,7,8,11,12,13],[2,3,6,9,11,12,13],[2,3,7,8,9,10,12],[2,4,5,8,12,13,14],[2,4,6,7,10,13,14],[2,4,9,10,11,13,14],[2,5,6,7,8,10,11],[2,5,7,9,11,12,14],[3,4,5,7,11,12,13],[3,4,6,8,9,10,13],[3,4,6,8,11,12,14],[3,5,6,8,10,11,14],[3,5,7,8,9,13,14],[4,5,6,7,9,10,12]]; G[5538]:=Group([(1,13)(3,14)(5,10)(8,11)]); # Design 5539: autom. group order 2, simple, residual B[5539]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,13,14],[1,2,6,8,9,11,12],[1,3,5,10,11,12,13],[1,3,7,9,11,13,14],[1,4,5,6,9,11,14],[1,4,7,8,9,10,14],[1,4,7,8,11,12,13],[1,5,6,9,10,12,13],[1,6,7,8,10,12,14],[2,3,6,9,10,12,14],[2,3,7,8,9,12,13],[2,4,5,8,12,13,14],[2,4,6,7,10,11,13],[2,4,9,10,11,13,14],[2,5,6,7,8,10,11],[2,5,7,9,11,12,14],[3,4,5,7,10,12,14],[3,4,6,8,9,10,13],[3,4,6,8,11,12,14],[3,5,6,8,11,13,14],[3,5,7,8,9,10,11],[4,5,6,7,9,12,13]]; G[5539]:=Group([(1,10)(3,11)(5,13)(8,14)]); # Design 5540: autom. group order 2, simple, residual B[5540]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,10,11,14],[1,2,6,9,11,12,13],[1,3,5,9,12,13,14],[1,3,7,8,12,13,14],[1,4,5,6,11,13,14],[1,4,7,8,10,12,14],[1,4,8,9,10,11,13],[1,5,6,7,8,9,12],[1,6,7,9,10,11,14],[2,3,6,8,9,10,14],[2,3,7,8,11,13,14],[2,4,5,7,11,12,14],[2,4,6,8,9,12,14],[2,4,7,9,10,12,13],[2,5,6,10,12,13,14],[2,5,7,8,9,11,13],[3,4,5,9,10,13,14],[3,4,6,7,9,11,14],[3,4,6,8,11,12,13],[3,5,6,8,10,11,12],[3,5,7,9,10,11,12],[4,5,6,7,8,10,13]]; G[5540]:=Group([(1,12)(2,11)(4,10)(7,8)]); # Design 5541: autom. group order 2, simple, residual B[5541]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,9,11,14],[1,3,5,8,10,12,13],[1,3,7,8,9,12,14],[1,4,5,6,9,13,14],[1,4,7,11,12,13,14],[1,4,8,10,11,13,14],[1,5,6,9,10,11,12],[1,6,7,8,9,10,12],[2,3,6,8,11,12,14],[2,3,7,9,10,11,13],[2,4,5,7,10,12,14],[2,4,6,9,10,12,13],[2,4,7,8,9,12,13],[2,5,6,8,12,13,14],[2,5,8,9,10,11,14],[3,4,5,9,11,12,14],[3,4,6,7,8,10,14],[3,4,6,8,9,11,13],[3,5,6,7,11,12,13],[3,5,7,9,10,13,14],[4,5,6,7,8,10,11]]; G[5541]:=Group([(2,13)(3,14)(5,11)(6,10)(7,8)(9,12)]); # Design 5542: autom. group order 2, simple, residual B[5542]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,9,10,13],[1,2,6,7,11,12,14],[1,3,5,10,11,12,13],[1,3,7,8,11,13,14],[1,4,5,6,9,11,14],[1,4,7,8,9,10,14],[1,4,9,11,12,13,14],[1,5,6,8,10,12,13],[1,6,7,8,9,10,12],[2,3,6,9,10,12,14],[2,3,7,8,9,11,12],[2,4,5,8,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,11,13],[2,5,6,8,10,11,14],[2,5,7,9,12,13,14],[3,4,5,7,10,12,14],[3,4,6,7,10,13,14],[3,4,6,8,9,12,13],[3,5,6,7,9,11,13],[3,5,8,9,10,11,14],[4,5,6,7,8,11,12]]; G[5542]:=Group([(1,10)(3,11)(5,13)(7,9)]); # Design 5543: autom. group order 2, simple, residual B[5543]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,9,12,14],[1,3,5,9,11,12,14],[1,3,8,9,10,12,13],[1,4,5,6,12,13,14],[1,4,7,9,11,13,14],[1,4,8,10,11,13,14],[1,5,6,7,8,10,11],[1,6,7,8,9,10,12],[2,3,6,8,11,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,10,14],[2,4,6,8,11,12,14],[2,4,7,8,9,12,13],[2,5,6,9,10,11,13],[2,5,7,10,12,13,14],[3,4,5,7,10,12,13],[3,4,6,7,8,10,14],[3,4,6,7,9,11,13],[3,5,6,8,9,13,14],[3,5,7,8,11,12,14],[4,5,6,9,10,11,12]]; G[5543]:=Group([(2,13)(3,14)(5,11)(6,10)(7,8)]); # Design 5544: autom. group order 2, simple B[5544]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,9,12,14],[1,3,5,9,11,12,14],[1,3,8,9,10,12,13],[1,4,5,6,12,13,14],[1,4,7,9,11,13,14],[1,4,8,10,11,13,14],[1,5,6,7,8,10,11],[1,6,7,8,9,10,12],[2,3,6,8,11,12,13],[2,3,7,8,9,13,14],[2,4,5,8,9,10,14],[2,4,6,8,11,12,14],[2,4,7,9,10,11,12],[2,5,6,9,10,11,13],[2,5,7,10,12,13,14],[3,4,5,7,10,12,13],[3,4,6,7,8,10,14],[3,4,6,7,9,11,13],[3,5,6,9,10,11,14],[3,5,7,8,11,12,14],[4,5,6,8,9,12,13]]; G[5544]:=Group([(2,13)(3,14)(5,11)(6,10)(7,8)]); # Design 5545: autom. group order 2, simple, residual B[5545]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,7,9,12,14],[1,3,5,9,10,12,14],[1,3,8,9,11,12,13],[1,4,5,6,12,13,14],[1,4,7,9,10,13,14],[1,4,8,10,11,13,14],[1,5,6,7,8,10,11],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,10,11,12,14],[2,4,5,8,9,11,14],[2,4,6,8,10,12,14],[2,4,7,8,9,12,13],[2,5,6,9,10,11,13],[2,5,7,8,10,12,13],[3,4,5,7,11,12,13],[3,4,6,7,8,11,14],[3,4,6,7,9,10,13],[3,5,6,8,12,13,14],[3,5,7,8,9,10,14],[4,5,6,9,10,11,12]]; G[5545]:=Group([(2,13)(3,14)(5,10)(6,11)(7,8)]); # Design 5546: autom. group order 2, simple, residual B[5546]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,7,9,12,14],[1,3,5,9,10,12,14],[1,3,8,9,11,12,13],[1,4,5,6,12,13,14],[1,4,7,9,10,13,14],[1,4,8,10,11,13,14],[1,5,6,7,8,10,11],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,10,11,12,14],[2,4,5,8,11,12,14],[2,4,6,8,9,10,14],[2,4,7,8,9,12,13],[2,5,6,9,10,11,13],[2,5,7,8,10,12,13],[3,4,5,7,9,11,13],[3,4,6,7,8,11,14],[3,4,6,7,10,12,13],[3,5,6,8,12,13,14],[3,5,7,8,9,10,14],[4,5,6,9,10,11,12]]; G[5546]:=Group([(2,13)(3,14)(5,10)(6,11)(7,8)]); # Design 5547: autom. group order 2, simple B[5547]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,7,9,12,14],[1,3,5,9,10,12,14],[1,3,8,9,11,12,13],[1,4,5,6,12,13,14],[1,4,7,9,10,13,14],[1,4,8,10,11,13,14],[1,5,6,7,8,10,11],[1,6,7,8,9,11,12],[2,3,6,11,12,13,14],[2,3,7,9,10,11,14],[2,4,5,8,9,11,14],[2,4,6,8,10,12,14],[2,4,7,8,9,12,13],[2,5,6,9,10,11,13],[2,5,7,8,10,12,13],[3,4,5,7,11,12,13],[3,4,6,7,8,11,14],[3,4,6,7,9,10,13],[3,5,6,8,9,13,14],[3,5,7,8,10,12,14],[4,5,6,9,10,11,12]]; G[5547]:=Group([(2,13)(3,14)(5,10)(6,11)(7,8)]); # Design 5548: autom. group order 2, simple B[5548]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,7,9,12,14],[1,3,5,9,10,12,14],[1,3,8,9,11,12,13],[1,4,5,6,12,13,14],[1,4,7,9,10,13,14],[1,4,8,10,11,13,14],[1,5,6,7,8,10,11],[1,6,7,8,9,11,12],[2,3,6,11,12,13,14],[2,3,7,9,10,11,14],[2,4,5,8,11,12,14],[2,4,6,8,9,10,14],[2,4,7,8,9,12,13],[2,5,6,9,10,11,13],[2,5,7,8,10,12,13],[3,4,5,7,9,11,13],[3,4,6,7,8,11,14],[3,4,6,7,10,12,13],[3,5,6,8,9,13,14],[3,5,7,8,10,12,14],[4,5,6,9,10,11,12]]; G[5548]:=Group([(2,13)(3,14)(5,10)(6,11)(7,8)]); # Design 5549: autom. group order 2, simple B[5549]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,7,9,12,14],[1,3,5,9,10,12,14],[1,3,8,9,11,12,13],[1,4,5,6,12,13,14],[1,4,7,9,10,13,14],[1,4,8,10,11,13,14],[1,5,6,7,8,10,11],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,5,8,11,12,14],[2,4,6,8,9,10,14],[2,4,7,9,10,11,12],[2,5,6,9,10,11,13],[2,5,7,8,10,12,13],[3,4,5,7,9,11,13],[3,4,6,7,8,11,14],[3,4,6,7,10,12,13],[3,5,6,10,11,12,14],[3,5,7,8,9,10,14],[4,5,6,8,9,12,13]]; G[5549]:=Group([(2,13)(3,14)(5,10)(6,11)(7,8)]); # Design 5550: autom. group order 2, simple B[5550]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,7,9,12,14],[1,3,5,9,10,12,14],[1,3,8,9,11,12,13],[1,4,5,6,12,13,14],[1,4,7,9,10,13,14],[1,4,8,10,11,13,14],[1,5,6,7,8,10,11],[1,6,7,8,9,11,12],[2,3,6,11,12,13,14],[2,3,7,8,9,13,14],[2,4,5,8,9,11,14],[2,4,6,8,10,12,14],[2,4,7,9,10,11,12],[2,5,6,9,10,11,13],[2,5,7,8,10,12,13],[3,4,5,7,11,12,13],[3,4,6,7,8,11,14],[3,4,6,7,9,10,13],[3,5,6,9,10,11,14],[3,5,7,8,10,12,14],[4,5,6,8,9,12,13]]; G[5550]:=Group([(2,13)(3,14)(5,10)(6,11)(7,8)]); # Design 5551: autom. group order 2, simple B[5551]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,7,9,12,14],[1,3,5,9,10,12,14],[1,3,8,9,11,12,13],[1,4,5,6,12,13,14],[1,4,7,9,10,13,14],[1,4,8,10,11,13,14],[1,5,6,7,8,10,11],[1,6,7,8,9,11,12],[2,3,6,11,12,13,14],[2,3,7,8,9,13,14],[2,4,5,8,11,12,14],[2,4,6,8,9,10,14],[2,4,7,9,10,11,12],[2,5,6,9,10,11,13],[2,5,7,8,10,12,13],[3,4,5,7,9,11,13],[3,4,6,7,8,11,14],[3,4,6,7,10,12,13],[3,5,6,9,10,11,14],[3,5,7,8,10,12,14],[4,5,6,8,9,12,13]]; G[5551]:=Group([(2,13)(3,14)(5,10)(6,11)(7,8)]); # Design 5552: autom. group order 2, simple B[5552]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,9,10,13],[1,2,6,10,11,12,13],[1,3,5,7,10,11,14],[1,3,7,8,11,13,14],[1,4,5,6,9,12,14],[1,4,7,9,12,13,14],[1,4,8,9,10,11,13],[1,5,6,8,11,12,14],[1,6,7,8,9,10,12],[2,3,6,7,9,11,12],[2,3,8,9,10,12,14],[2,4,5,11,12,13,14],[2,4,6,7,10,13,14],[2,4,7,8,9,11,14],[2,5,6,8,9,11,13],[2,5,7,8,10,12,14],[3,4,5,8,10,12,13],[3,4,6,7,8,12,13],[3,4,6,9,10,11,14],[3,5,6,9,10,13,14],[3,5,7,9,11,12,13],[4,5,6,7,8,10,11]]; G[5552]:=Group([(1,14)(2,10)(4,9)(5,6)(7,13)(8,11)]); # Design 5553: autom. group order 2, simple, residual B[5553]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,11,14],[1,3,5,7,10,12,13],[1,3,7,8,9,12,14],[1,4,5,6,9,13,14],[1,4,7,11,12,13,14],[1,4,8,10,11,13,14],[1,5,6,9,10,11,12],[1,6,7,8,9,10,12],[2,3,6,8,11,12,13],[2,3,7,9,10,11,14],[2,4,5,8,10,12,14],[2,4,6,9,10,12,13],[2,4,7,8,9,12,13],[2,5,6,7,11,12,14],[2,5,7,9,10,13,14],[3,4,5,9,11,12,14],[3,4,6,7,8,10,14],[3,4,6,7,9,11,13],[3,5,6,8,12,13,14],[3,5,8,9,10,11,13],[4,5,6,7,8,10,11]]; G[5553]:=Group([(2,13)(3,14)(5,11)(6,10)(7,8)(9,12)]); # Design 5554: autom. group order 2, simple, residual B[5554]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,9,11,13],[1,3,5,7,11,12,14],[1,3,8,10,11,12,13],[1,4,5,6,9,10,12],[1,4,7,8,9,12,13],[1,4,7,9,10,13,14],[1,5,6,8,9,11,14],[1,6,7,8,10,12,14],[2,3,6,7,9,12,13],[2,3,7,8,9,10,14],[2,4,5,8,10,13,14],[2,4,6,8,11,12,14],[2,4,7,9,11,12,14],[2,5,6,7,8,10,12],[2,5,9,10,11,12,13],[3,4,5,8,12,13,14],[3,4,6,7,8,11,13],[3,4,6,9,10,11,14],[3,5,6,9,12,13,14],[3,5,7,8,9,10,11],[4,5,6,7,10,11,13]]; G[5554]:=Group([(1,11)(3,12)(5,14)(6,9)]); # Design 5555: autom. group order 2, simple, residual B[5555]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,9,11,13],[1,3,5,7,11,12,14],[1,3,8,9,10,11,14],[1,4,5,6,8,12,13],[1,4,7,8,9,10,14],[1,4,7,8,10,12,13],[1,5,6,9,10,11,12],[1,6,7,9,12,13,14],[2,3,6,7,8,9,12],[2,3,7,9,10,12,13],[2,4,5,9,10,13,14],[2,4,6,9,11,12,14],[2,4,7,8,11,12,14],[2,5,6,7,8,10,14],[2,5,8,10,11,12,13],[3,4,5,9,12,13,14],[3,4,6,7,10,11,13],[3,4,6,8,11,13,14],[3,5,6,8,10,12,14],[3,5,7,8,9,11,13],[4,5,6,7,9,10,11]]; G[5555]:=Group([(1,11)(3,12)(5,14)(6,8)]); # Design 5556: autom. group order 2, simple, residual B[5556]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,11],[1,2,6,9,10,13,14],[1,3,5,9,11,12,13],[1,3,7,8,11,13,14],[1,4,5,6,7,12,14],[1,4,7,8,12,13,14],[1,4,8,9,10,11,14],[1,5,6,9,11,12,13],[1,6,7,8,9,10,12],[2,3,6,8,11,12,14],[2,3,7,8,9,12,13],[2,4,5,8,9,13,14],[2,4,6,7,9,11,13],[2,4,7,10,11,12,13],[2,5,6,8,11,12,14],[2,5,7,9,10,12,14],[3,4,5,10,12,13,14],[3,4,6,7,9,11,14],[3,4,6,8,9,10,12],[3,5,6,7,8,10,13],[3,5,7,9,10,11,14],[4,5,6,8,10,11,13]]; G[5556]:=Group([(1,11)(2,14)(4,7)(5,9)(8,10)(12,13)]); # Design 5557: autom. group order 2, simple B[5557]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,11],[1,2,6,8,9,13,14],[1,3,5,9,11,12,13],[1,3,7,8,11,13,14],[1,4,5,6,7,12,14],[1,4,7,10,12,13,14],[1,4,8,9,10,11,14],[1,5,6,9,11,12,13],[1,6,7,8,9,10,12],[2,3,6,8,11,12,14],[2,3,7,9,10,12,13],[2,4,5,9,10,13,14],[2,4,6,7,9,11,13],[2,4,7,8,11,12,13],[2,5,6,10,11,12,14],[2,5,7,8,9,12,14],[3,4,5,8,12,13,14],[3,4,6,7,9,11,14],[3,4,6,8,9,10,12],[3,5,6,7,8,10,13],[3,5,7,9,10,11,14],[4,5,6,8,10,11,13]]; G[5557]:=Group([(1,11)(2,14)(4,7)(5,9)(8,10)(12,13)]); # Design 5558: autom. group order 2, simple, residual B[5558]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,11,14],[1,2,6,9,11,12,13],[1,3,5,9,12,13,14],[1,3,7,8,12,13,14],[1,4,5,6,11,13,14],[1,4,7,8,10,12,14],[1,4,7,9,10,11,13],[1,5,6,7,8,9,12],[1,6,8,9,10,11,14],[2,3,6,7,9,10,14],[2,3,7,8,11,13,14],[2,4,5,8,11,12,14],[2,4,6,7,9,12,14],[2,4,8,9,10,12,13],[2,5,6,10,12,13,14],[2,5,7,8,9,11,13],[3,4,5,9,10,13,14],[3,4,6,7,11,12,13],[3,4,6,8,9,11,14],[3,5,6,8,10,11,12],[3,5,7,9,10,11,12],[4,5,6,7,8,10,13]]; G[5558]:=Group([(1,12)(2,11)(4,10)(7,8)]); # Design 5559: autom. group order 2, simple, residual B[5559]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,12,13],[1,3,5,10,11,12,14],[1,3,7,9,11,12,13],[1,4,5,6,9,11,14],[1,4,7,8,10,13,14],[1,4,7,9,10,12,13],[1,5,6,7,8,12,14],[1,6,8,9,10,11,14],[2,3,6,7,9,12,14],[2,3,7,8,9,10,14],[2,4,5,9,10,13,14],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,6,7,10,11,13],[2,5,8,9,10,11,12],[3,4,5,8,12,13,14],[3,4,6,7,8,10,11],[3,4,6,8,9,11,13],[3,5,6,8,10,12,13],[3,5,7,9,11,13,14],[4,5,6,7,9,10,12]]; G[5559]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 5560: autom. group order 2, simple B[5560]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,12,13],[1,3,5,10,11,12,14],[1,3,7,9,11,12,13],[1,4,5,6,8,12,14],[1,4,7,8,10,13,14],[1,4,7,9,10,12,13],[1,5,6,7,9,11,14],[1,6,8,9,10,11,14],[2,3,6,7,9,12,14],[2,3,7,8,9,10,14],[2,4,5,9,10,13,14],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,6,7,10,11,13],[2,5,8,9,10,11,12],[3,4,5,9,11,13,14],[3,4,6,7,8,10,11],[3,4,6,8,9,11,13],[3,5,6,8,10,12,13],[3,5,7,8,12,13,14],[4,5,6,7,9,10,12]]; G[5560]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 5561: autom. group order 2, simple, residual B[5561]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,12,14],[1,2,6,9,11,12,13],[1,3,5,9,10,13,14],[1,3,7,8,11,13,14],[1,4,5,6,11,13,14],[1,4,7,8,10,12,14],[1,4,7,9,10,12,13],[1,5,6,7,8,9,12],[1,6,8,9,10,11,14],[2,3,6,7,9,10,14],[2,3,7,8,12,13,14],[2,4,5,8,10,11,14],[2,4,6,8,9,12,14],[2,4,7,9,10,11,13],[2,5,6,10,12,13,14],[2,5,7,8,9,11,13],[3,4,5,9,12,13,14],[3,4,6,7,9,11,14],[3,4,6,8,11,12,13],[3,5,6,7,10,11,12],[3,5,8,9,10,11,12],[4,5,6,7,8,10,13]]; G[5561]:=Group([(1,12)(2,11)(4,10)]); # Design 5562: autom. group order 2, simple, residual B[5562]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,9,11,13,14],[1,3,5,9,11,12,14],[1,3,7,8,9,12,14],[1,4,5,6,10,12,14],[1,4,7,8,11,12,13],[1,4,7,9,10,11,13],[1,5,6,8,9,10,13],[1,6,7,8,10,12,14],[2,3,6,7,8,11,14],[2,3,7,9,10,12,13],[2,4,5,8,12,13,14],[2,4,6,9,12,13,14],[2,4,7,8,9,10,14],[2,5,6,7,10,11,12],[2,5,8,9,10,11,12],[3,4,5,7,10,13,14],[3,4,6,8,11,12,13],[3,4,6,9,10,11,14],[3,5,6,7,9,12,13],[3,5,8,10,11,13,14],[4,5,6,7,8,9,11]]; G[5562]:=Group([(1,12)(3,10)(4,11)(6,9)(7,8)]); # Design 5563: autom. group order 2, simple B[5563]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,9,11,12,14],[1,3,5,9,12,13,14],[1,3,7,8,9,10,12],[1,4,5,6,9,13,14],[1,4,7,10,12,13,14],[1,4,8,10,11,13,14],[1,5,6,7,8,11,13],[1,6,7,8,9,11,12],[2,3,6,7,12,13,14],[2,3,8,9,11,13,14],[2,4,5,8,11,12,13],[2,4,6,7,9,10,13],[2,4,7,8,9,12,13],[2,5,6,8,10,12,14],[2,5,7,9,10,11,14],[3,4,5,7,11,12,14],[3,4,6,7,8,11,14],[3,4,6,8,9,10,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,6,9,10,11,12]]; G[5563]:=Group([(2,14)(3,13)(5,10)(6,12)(9,11)]); # Design 5564: autom. group order 2, simple B[5564]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,9,11,12,14],[1,3,5,9,12,13,14],[1,3,7,8,9,11,13],[1,4,5,6,9,13,14],[1,4,7,10,12,13,14],[1,4,8,10,11,13,14],[1,5,6,7,8,10,12],[1,6,7,8,9,11,12],[2,3,6,7,12,13,14],[2,3,8,9,10,12,14],[2,4,5,8,11,12,13],[2,4,6,7,9,10,13],[2,4,7,8,9,12,13],[2,5,6,8,11,13,14],[2,5,7,9,10,11,14],[3,4,5,7,11,12,14],[3,4,6,7,8,11,14],[3,4,6,8,9,10,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,6,9,10,11,12]]; G[5564]:=Group([(2,14)(3,13)(5,10)(6,12)(9,11)]); # Design 5565: autom. group order 2, simple B[5565]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,13],[1,3,5,9,11,12,14],[1,3,7,8,9,10,11],[1,4,5,6,9,13,14],[1,4,7,10,11,13,14],[1,4,8,11,12,13,14],[1,5,6,7,8,12,14],[1,6,7,8,9,10,12],[2,3,6,7,11,12,14],[2,3,8,9,12,13,14],[2,4,5,8,10,12,14],[2,4,6,7,9,11,14],[2,4,7,8,9,10,14],[2,5,6,8,10,11,13],[2,5,7,9,11,12,13],[3,4,5,7,10,12,13],[3,4,6,7,8,12,13],[3,4,6,8,9,11,13],[3,5,6,8,10,11,14],[3,5,7,9,10,13,14],[4,5,6,9,10,11,12]]; G[5565]:=Group([(2,13)(3,14)(5,11)(6,10)(9,12)]); # Design 5566: autom. group order 2, simple, residual B[5566]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,13],[1,3,5,9,11,12,14],[1,3,7,8,9,12,14],[1,4,5,6,9,13,14],[1,4,7,10,11,13,14],[1,4,8,11,12,13,14],[1,5,6,7,8,10,11],[1,6,7,8,9,10,12],[2,3,6,7,11,12,14],[2,3,8,9,10,11,13],[2,4,5,8,10,12,14],[2,4,6,7,9,11,14],[2,4,7,8,9,10,14],[2,5,6,8,12,13,14],[2,5,7,9,11,12,13],[3,4,5,7,10,12,13],[3,4,6,7,8,12,13],[3,4,6,8,9,11,13],[3,5,6,8,10,11,14],[3,5,7,9,10,13,14],[4,5,6,9,10,11,12]]; G[5566]:=Group([(2,13)(3,14)(5,11)(6,10)(9,12)]); # Design 5567: autom. group order 2, simple, residual B[5567]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,11,12,14],[1,3,5,9,10,12,13],[1,3,7,8,9,12,14],[1,4,5,6,12,13,14],[1,4,7,10,11,13,14],[1,4,8,9,11,13,14],[1,5,6,7,8,10,11],[1,6,7,8,9,10,12],[2,3,6,7,9,11,14],[2,3,8,10,11,12,13],[2,4,5,8,9,10,14],[2,4,6,7,9,10,13],[2,4,7,8,10,12,14],[2,5,6,8,12,13,14],[2,5,7,9,11,12,13],[3,4,5,7,11,12,14],[3,4,6,7,8,12,13],[3,4,6,8,9,11,13],[3,5,6,8,10,11,14],[3,5,7,9,10,13,14],[4,5,6,9,10,11,12]]; G[5567]:=Group([(2,13)(3,14)(5,11)(6,10)]); # Design 5568: autom. group order 2, simple, residual B[5568]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,13],[1,3,5,9,11,12,14],[1,3,7,8,9,12,14],[1,4,5,6,9,13,14],[1,4,7,11,12,13,14],[1,4,8,10,11,13,14],[1,5,6,7,8,10,11],[1,6,7,8,9,10,12],[2,3,6,8,11,12,14],[2,3,7,9,10,11,13],[2,4,5,7,10,12,14],[2,4,6,7,9,11,14],[2,4,7,8,9,12,13],[2,5,6,8,12,13,14],[2,5,8,9,10,11,14],[3,4,5,8,10,12,13],[3,4,6,7,8,10,14],[3,4,6,8,9,11,13],[3,5,6,7,11,12,13],[3,5,7,9,10,13,14],[4,5,6,9,10,11,12]]; G[5568]:=Group([(2,13)(3,14)(5,11)(6,10)(7,8)(9,12)]); # Design 5569: autom. group order 2, simple, residual B[5569]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,9,11,12,14],[1,3,5,9,12,13,14],[1,3,7,8,9,10,12],[1,4,5,6,9,13,14],[1,4,7,10,12,13,14],[1,4,8,10,11,13,14],[1,5,6,7,8,11,13],[1,6,7,8,9,11,12],[2,3,6,8,12,13,14],[2,3,7,9,11,13,14],[2,4,5,7,11,12,13],[2,4,6,8,9,10,13],[2,4,7,8,9,11,14],[2,5,6,7,10,12,14],[2,5,8,9,10,12,13],[3,4,5,8,11,12,14],[3,4,6,7,8,12,13],[3,4,6,7,9,10,14],[3,5,6,8,10,11,14],[3,5,7,9,10,11,13],[4,5,6,9,10,11,12]]; G[5569]:=Group([(2,14)(3,13)(5,10)(6,12)(9,11)]); # Design 5570: autom. group order 2, simple B[5570]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,9,11,12,14],[1,3,5,9,12,13,14],[1,3,7,8,9,10,12],[1,4,5,6,9,13,14],[1,4,7,10,12,13,14],[1,4,8,10,11,13,14],[1,5,6,7,8,11,13],[1,6,7,8,9,11,12],[2,3,6,8,12,13,14],[2,3,7,9,11,13,14],[2,4,5,7,11,12,13],[2,4,6,8,9,10,13],[2,4,7,8,9,12,13],[2,5,6,7,10,12,14],[2,5,8,9,10,11,14],[3,4,5,8,11,12,14],[3,4,6,7,8,11,14],[3,4,6,7,9,10,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,6,9,10,11,12]]; G[5570]:=Group([(2,14)(3,13)(5,10)(6,12)(9,11)]); # Design 5571: autom. group order 2, simple, residual B[5571]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,9,11,12,14],[1,3,5,9,12,13,14],[1,3,7,8,9,11,13],[1,4,5,6,9,13,14],[1,4,7,10,12,13,14],[1,4,8,10,11,13,14],[1,5,6,7,8,10,12],[1,6,7,8,9,11,12],[2,3,6,8,12,13,14],[2,3,7,9,10,12,14],[2,4,5,7,11,12,13],[2,4,6,8,9,10,13],[2,4,7,8,9,11,14],[2,5,6,7,11,13,14],[2,5,8,9,10,12,13],[3,4,5,8,11,12,14],[3,4,6,7,8,12,13],[3,4,6,7,9,10,14],[3,5,6,8,10,11,14],[3,5,7,9,10,11,13],[4,5,6,9,10,11,12]]; G[5571]:=Group([(2,14)(3,13)(5,10)(6,12)(9,11)]); # Design 5572: autom. group order 2, simple, residual B[5572]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,9,11,12,14],[1,3,5,9,12,13,14],[1,3,7,8,9,11,13],[1,4,5,6,9,13,14],[1,4,7,10,12,13,14],[1,4,8,10,11,13,14],[1,5,6,7,8,10,12],[1,6,7,8,9,11,12],[2,3,6,8,12,13,14],[2,3,7,9,10,12,14],[2,4,5,7,11,12,13],[2,4,6,8,9,10,13],[2,4,7,8,9,12,13],[2,5,6,7,11,13,14],[2,5,8,9,10,11,14],[3,4,5,8,11,12,14],[3,4,6,7,8,11,14],[3,4,6,7,9,10,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,6,9,10,11,12]]; G[5572]:=Group([(2,14)(3,13)(5,10)(6,12)(9,11)]); # Design 5573: autom. group order 2, simple B[5573]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,9,11,12,14],[1,3,5,9,12,13,14],[1,3,7,8,9,10,12],[1,4,5,6,9,13,14],[1,4,7,10,12,13,14],[1,4,8,10,11,13,14],[1,5,6,7,8,11,13],[1,6,7,8,9,11,12],[2,3,6,8,12,13,14],[2,3,7,9,11,13,14],[2,4,5,7,11,12,13],[2,4,6,8,9,10,13],[2,4,7,8,9,11,14],[2,5,6,8,10,12,14],[2,5,7,9,10,12,13],[3,4,5,8,11,12,14],[3,4,6,7,8,12,13],[3,4,6,7,9,10,14],[3,5,6,7,10,11,14],[3,5,8,9,10,11,13],[4,5,6,9,10,11,12]]; G[5573]:=Group([(2,14)(3,13)(5,10)(6,12)(9,11)]); # Design 5574: autom. group order 2, simple, residual B[5574]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,13],[1,3,5,9,11,12,14],[1,3,7,8,9,10,11],[1,4,5,6,9,13,14],[1,4,7,10,11,13,14],[1,4,8,11,12,13,14],[1,5,6,7,8,12,14],[1,6,7,8,9,10,12],[2,3,6,8,11,12,14],[2,3,7,9,12,13,14],[2,4,5,7,10,12,14],[2,4,6,8,9,11,14],[2,4,7,8,9,12,13],[2,5,6,8,10,11,13],[2,5,7,9,10,11,14],[3,4,5,8,10,12,13],[3,4,6,7,8,10,14],[3,4,6,7,9,11,13],[3,5,6,7,11,12,13],[3,5,8,9,10,13,14],[4,5,6,9,10,11,12]]; G[5574]:=Group([(2,13)(3,14)(5,11)(6,10)(9,12)]); # Design 5575: autom. group order 2, simple, residual B[5575]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,9,11,12,14],[1,3,5,9,12,13,14],[1,3,7,8,9,10,12],[1,4,5,6,9,13,14],[1,4,7,10,12,13,14],[1,4,8,10,11,13,14],[1,5,6,7,8,11,13],[1,6,7,8,9,11,12],[2,3,6,8,12,13,14],[2,3,7,9,11,13,14],[2,4,5,8,11,12,13],[2,4,6,7,9,10,13],[2,4,7,8,9,11,14],[2,5,6,7,10,12,14],[2,5,8,9,10,12,13],[3,4,5,7,11,12,14],[3,4,6,7,8,12,13],[3,4,6,8,9,10,14],[3,5,6,8,10,11,14],[3,5,7,9,10,11,13],[4,5,6,9,10,11,12]]; G[5575]:=Group([(2,14)(3,13)(5,10)(6,12)(9,11)]); # Design 5576: autom. group order 2, simple, residual B[5576]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,9,11,12,14],[1,3,5,9,12,13,14],[1,3,7,8,9,11,13],[1,4,5,6,9,13,14],[1,4,7,10,12,13,14],[1,4,8,10,11,13,14],[1,5,6,7,8,10,12],[1,6,7,8,9,11,12],[2,3,6,8,12,13,14],[2,3,7,9,10,12,14],[2,4,5,8,11,12,13],[2,4,6,7,9,10,13],[2,4,7,8,9,11,14],[2,5,6,7,11,13,14],[2,5,8,9,10,12,13],[3,4,5,7,11,12,14],[3,4,6,7,8,12,13],[3,4,6,8,9,10,14],[3,5,6,8,10,11,14],[3,5,7,9,10,11,13],[4,5,6,9,10,11,12]]; G[5576]:=Group([(2,14)(3,13)(5,10)(6,12)(9,11)]); # Design 5577: autom. group order 2, simple, residual B[5577]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,9,11,12,14],[1,3,5,9,12,13,14],[1,3,7,8,9,11,13],[1,4,5,6,9,13,14],[1,4,7,10,12,13,14],[1,4,8,10,11,13,14],[1,5,6,7,8,10,12],[1,6,7,8,9,11,12],[2,3,6,8,12,13,14],[2,3,7,9,10,12,14],[2,4,5,8,11,12,13],[2,4,6,7,9,10,13],[2,4,7,8,9,12,13],[2,5,6,7,11,13,14],[2,5,8,9,10,11,14],[3,4,5,7,11,12,14],[3,4,6,7,8,11,14],[3,4,6,8,9,10,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,6,9,10,11,12]]; G[5577]:=Group([(2,14)(3,13)(5,10)(6,12)(9,11)]); # Design 5578: autom. group order 2, simple, residual B[5578]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,9,10,11,14],[1,3,5,9,11,12,13],[1,3,7,9,10,13,14],[1,4,5,6,8,12,14],[1,4,7,8,10,11,13],[1,4,8,9,12,13,14],[1,5,6,7,10,12,14],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,11,12,14],[2,4,5,10,12,13,14],[2,4,6,7,11,12,13],[2,4,7,8,9,10,14],[2,5,6,7,8,9,13],[2,5,8,9,10,11,12],[3,4,5,7,9,11,14],[3,4,6,7,9,10,12],[3,4,6,8,11,13,14],[3,5,6,8,10,11,14],[3,5,7,8,10,12,13],[4,5,6,9,10,11,13]]; G[5578]:=Group([(1,14)(2,11)(4,8)(5,6)(7,10)(9,13)]); # Design 5579: autom. group order 2, simple B[5579]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,13],[1,3,5,9,11,12,14],[1,3,7,8,9,10,11],[1,4,5,6,9,13,14],[1,4,7,10,11,13,14],[1,4,8,11,12,13,14],[1,5,6,7,8,12,14],[1,6,7,8,9,10,12],[2,3,6,8,11,12,14],[2,3,7,9,12,13,14],[2,4,5,8,10,12,14],[2,4,6,7,9,11,14],[2,4,7,8,9,10,14],[2,5,6,8,10,11,13],[2,5,7,9,11,12,13],[3,4,5,7,10,12,13],[3,4,6,7,8,12,13],[3,4,6,8,9,11,13],[3,5,6,7,10,11,14],[3,5,8,9,10,13,14],[4,5,6,9,10,11,12]]; G[5579]:=Group([(2,13)(3,14)(5,11)(6,10)(9,12)]); # Design 5580: autom. group order 2, simple, residual B[5580]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,13],[1,3,5,9,11,12,14],[1,3,7,8,9,12,14],[1,4,5,6,9,13,14],[1,4,7,11,12,13,14],[1,4,8,10,11,13,14],[1,5,6,7,8,10,11],[1,6,7,8,9,10,12],[2,3,6,8,11,12,13],[2,3,7,9,10,11,14],[2,4,5,8,10,12,14],[2,4,6,8,9,11,14],[2,4,7,8,9,12,13],[2,5,6,7,11,12,14],[2,5,7,9,10,13,14],[3,4,5,7,10,12,13],[3,4,6,7,8,10,14],[3,4,6,7,9,11,13],[3,5,6,8,12,13,14],[3,5,8,9,10,11,13],[4,5,6,9,10,11,12]]; G[5580]:=Group([(2,13)(3,14)(5,11)(6,10)(7,8)(9,12)]); # Design 5581: autom. group order 2, simple, residual B[5581]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,13],[1,3,5,9,11,12,14],[1,3,7,8,9,12,14],[1,4,5,6,12,13,14],[1,4,7,9,11,13,14],[1,4,8,10,11,13,14],[1,5,6,7,8,10,11],[1,6,7,8,9,10,12],[2,3,6,8,9,11,13],[2,3,7,8,12,13,14],[2,4,5,8,10,12,14],[2,4,6,8,9,11,14],[2,4,7,9,10,11,12],[2,5,6,7,11,12,14],[2,5,7,9,10,13,14],[3,4,5,7,9,10,13],[3,4,6,7,8,10,14],[3,4,6,7,11,12,13],[3,5,6,9,10,11,14],[3,5,8,10,11,12,13],[4,5,6,8,9,12,13]]; G[5581]:=Group([(2,13)(3,14)(5,11)(6,10)(7,8)]); # Design 5582: autom. group order 2, simple, residual B[5582]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,8,11,12,14],[1,3,5,8,9,13,14],[1,3,7,9,11,12,14],[1,4,5,6,9,12,13],[1,4,7,9,10,11,13],[1,4,8,10,12,13,14],[1,5,6,7,11,13,14],[1,6,7,8,9,10,12],[2,3,6,9,12,13,14],[2,3,7,9,10,13,14],[2,4,5,10,12,13,14],[2,4,6,8,9,11,14],[2,4,7,8,9,11,13],[2,5,6,7,9,10,12],[2,5,7,8,11,12,13],[3,4,5,7,11,12,14],[3,4,6,7,8,10,14],[3,4,6,7,8,12,13],[3,5,6,8,10,11,13],[3,5,8,9,10,11,12],[4,5,6,9,10,11,14]]; G[5582]:=Group([(1,5)(2,8)(4,9)(6,13)(7,14)]); # Design 5583: autom. group order 2, simple, residual B[5583]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,9,11,12,13],[1,3,5,9,10,12,14],[1,3,7,8,9,12,14],[1,4,5,6,12,13,14],[1,4,7,9,10,13,14],[1,4,8,10,11,13,14],[1,5,6,7,8,10,11],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,10,11,12,14],[2,4,5,8,9,11,14],[2,4,6,8,10,12,14],[2,4,7,8,9,12,13],[2,5,6,7,9,10,14],[2,5,7,8,10,12,13],[3,4,5,7,11,12,13],[3,4,6,7,8,11,14],[3,4,6,7,9,10,13],[3,5,6,8,12,13,14],[3,5,8,9,10,11,13],[4,5,6,9,10,11,12]]; G[5583]:=Group([(2,13)(3,14)(5,10)(6,11)(7,8)]); # Design 5584: autom. group order 2, simple, residual B[5584]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,9,11,12,13],[1,3,5,9,10,12,14],[1,3,7,8,9,12,14],[1,4,5,6,12,13,14],[1,4,7,9,10,13,14],[1,4,8,10,11,13,14],[1,5,6,7,8,10,11],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,10,11,12,14],[2,4,5,8,11,12,14],[2,4,6,8,9,10,14],[2,4,7,8,9,12,13],[2,5,6,7,9,10,14],[2,5,7,8,10,12,13],[3,4,5,7,9,11,13],[3,4,6,7,8,11,14],[3,4,6,7,10,12,13],[3,5,6,8,12,13,14],[3,5,8,9,10,11,13],[4,5,6,9,10,11,12]]; G[5584]:=Group([(2,13)(3,14)(5,10)(6,11)(7,8)]); # Design 5585: autom. group order 2, simple, residual B[5585]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,9,11,12,13],[1,3,5,9,10,12,14],[1,3,7,8,9,12,14],[1,4,5,6,12,13,14],[1,4,7,9,10,13,14],[1,4,8,10,11,13,14],[1,5,6,7,8,10,11],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,5,8,11,12,14],[2,4,6,8,9,10,14],[2,4,7,9,10,11,12],[2,5,6,7,9,10,14],[2,5,7,8,10,12,13],[3,4,5,7,9,11,13],[3,4,6,7,8,11,14],[3,4,6,7,10,12,13],[3,5,6,10,11,12,14],[3,5,8,9,10,11,13],[4,5,6,8,9,12,13]]; G[5585]:=Group([(2,13)(3,14)(5,10)(6,11)(7,8)]); # Design 5586: autom. group order 2, simple B[5586]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,9,11,12,13],[1,3,5,9,10,12,14],[1,3,7,8,9,12,14],[1,4,5,6,12,13,14],[1,4,7,9,10,13,14],[1,4,8,10,11,13,14],[1,5,6,7,8,10,11],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,5,8,11,12,14],[2,4,6,8,9,10,14],[2,4,7,9,10,11,12],[2,5,6,7,10,12,14],[2,5,7,8,9,10,13],[3,4,5,7,9,11,13],[3,4,6,7,8,11,14],[3,4,6,7,10,12,13],[3,5,6,9,10,11,14],[3,5,8,10,11,12,13],[4,5,6,8,9,12,13]]; G[5586]:=Group([(2,13)(3,14)(5,10)(6,11)(7,8)]); # Design 5587: autom. group order 2, simple, residual B[5587]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,9,10,13],[1,2,6,9,11,12,14],[1,3,5,10,11,12,13],[1,3,8,9,11,13,14],[1,4,5,6,7,11,14],[1,4,7,8,9,10,14],[1,4,7,11,12,13,14],[1,5,6,8,10,12,13],[1,6,7,8,9,10,12],[2,3,6,7,10,12,14],[2,3,7,8,9,11,12],[2,4,5,8,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,11,13],[2,5,6,8,10,11,14],[2,5,7,9,12,13,14],[3,4,5,9,10,12,14],[3,4,6,7,8,12,13],[3,4,6,9,10,13,14],[3,5,6,7,9,11,13],[3,5,7,8,10,11,14],[4,5,6,8,9,11,12]]; G[5587]:=Group([(1,10)(3,11)(5,13)(7,9)]); # Design 5588: autom. group order 2, simple, residual B[5588]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,9,11,13],[1,3,5,8,11,12,13],[1,3,8,9,10,12,14],[1,4,5,6,9,12,14],[1,4,7,8,10,11,14],[1,4,7,9,10,12,13],[1,5,6,7,10,12,13],[1,6,7,8,9,11,14],[2,3,6,7,9,12,14],[2,3,7,8,9,10,13],[2,4,5,7,8,10,14],[2,4,6,8,12,13,14],[2,4,7,9,11,12,13],[2,5,6,8,10,11,12],[2,5,9,10,11,12,14],[3,4,5,9,11,13,14],[3,4,6,7,8,11,12],[3,4,6,10,11,13,14],[3,5,6,7,9,10,11],[3,5,7,8,12,13,14],[4,5,6,8,9,10,13]]; G[5588]:=Group([(1,11)(3,12)(4,10)(6,9)(7,14)]); # Design 5589: autom. group order 2, simple, residual B[5589]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,9,11,13],[1,3,5,8,11,12,13],[1,3,8,9,10,12,14],[1,4,5,6,9,12,14],[1,4,7,8,10,11,14],[1,4,7,9,10,12,13],[1,5,6,7,10,12,13],[1,6,7,8,9,11,14],[2,3,6,7,9,12,14],[2,3,7,8,12,13,14],[2,4,5,7,8,10,14],[2,4,6,8,9,10,13],[2,4,7,9,11,12,13],[2,5,6,8,10,11,12],[2,5,9,10,11,12,14],[3,4,5,9,11,13,14],[3,4,6,7,8,11,12],[3,4,6,10,11,13,14],[3,5,6,7,9,10,11],[3,5,7,8,9,10,13],[4,5,6,8,12,13,14]]; G[5589]:=Group([(1,11)(3,12)(4,10)(6,9)(7,14)]); # Design 5590: autom. group order 2, simple, residual B[5590]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,7,9,12,14],[1,3,5,7,10,12,14],[1,3,7,9,10,11,13],[1,4,5,6,12,13,14],[1,4,7,8,10,11,14],[1,4,8,9,11,12,13],[1,5,6,7,8,11,13],[1,6,8,9,10,12,14],[2,3,6,8,9,11,14],[2,3,7,8,12,13,14],[2,4,5,9,10,13,14],[2,4,6,7,11,12,13],[2,4,7,8,10,13,14],[2,5,6,8,10,11,12],[2,5,7,9,10,11,12],[3,4,5,8,11,12,14],[3,4,6,7,9,11,14],[3,4,6,9,10,12,13],[3,5,6,10,11,13,14],[3,5,7,8,9,12,13],[4,5,6,7,8,9,10]]; G[5590]:=Group([(1,11)(3,12)(4,10)(7,8)]); # Design 5591: autom. group order 2, simple B[5591]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,6,7,9,10,14],[1,3,5,7,9,11,14],[1,3,7,8,9,12,13],[1,4,5,6,8,13,14],[1,4,7,11,12,13,14],[1,4,9,10,11,13,14],[1,5,6,8,10,11,12],[1,6,7,8,9,10,12],[2,3,6,7,12,13,14],[2,3,8,9,11,12,14],[2,4,5,7,10,12,14],[2,4,6,8,9,11,14],[2,4,7,8,9,10,13],[2,5,6,9,11,12,13],[2,5,7,8,10,11,13],[3,4,5,9,10,12,13],[3,4,6,7,8,11,13],[3,4,6,8,10,12,14],[3,5,6,9,10,13,14],[3,5,7,8,10,11,14],[4,5,6,7,9,11,12]]; G[5591]:=Group([(2,13)(3,14)(5,11)(6,12)(8,10)]); # Design 5592: autom. group order 2, simple, residual B[5592]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,9,11,14],[1,3,5,7,9,12,14],[1,3,7,8,9,10,13],[1,4,5,6,8,13,14],[1,4,7,10,12,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,11,12],[1,6,7,8,9,10,11],[2,3,6,7,11,12,13],[2,3,8,9,10,12,14],[2,4,5,7,10,11,14],[2,4,6,8,9,12,14],[2,4,7,8,9,11,13],[2,5,6,9,10,12,13],[2,5,7,8,10,13,14],[3,4,5,9,10,11,13],[3,4,6,7,8,12,13],[3,4,6,8,10,11,14],[3,5,6,9,11,13,14],[3,5,7,8,11,12,14],[4,5,6,7,9,10,12]]; G[5592]:=Group([(2,13)(3,14)(5,12)(6,10)(8,11)]); # Design 5593: autom. group order 2, simple B[5593]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,6,7,9,10,14],[1,3,5,7,9,11,14],[1,3,7,8,9,12,13],[1,4,5,6,8,13,14],[1,4,7,11,12,13,14],[1,4,9,10,11,13,14],[1,5,6,8,10,11,12],[1,6,7,8,9,10,12],[2,3,6,7,12,13,14],[2,3,8,9,11,12,14],[2,4,5,9,10,12,14],[2,4,6,7,8,11,14],[2,4,7,8,9,10,13],[2,5,6,9,11,12,13],[2,5,7,8,10,11,13],[3,4,5,7,10,12,13],[3,4,6,8,9,11,13],[3,4,6,8,10,12,14],[3,5,6,9,10,13,14],[3,5,7,8,10,11,14],[4,5,6,7,9,11,12]]; G[5593]:=Group([(2,13)(3,14)(5,11)(6,12)(8,10)]); # Design 5594: autom. group order 2, simple, residual B[5594]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,9,11,14],[1,3,5,7,9,12,14],[1,3,7,8,9,10,13],[1,4,5,6,8,13,14],[1,4,7,10,12,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,11,12],[1,6,7,8,9,10,11],[2,3,6,7,11,12,13],[2,3,8,9,10,12,14],[2,4,5,9,10,11,14],[2,4,6,7,8,12,14],[2,4,7,8,9,11,13],[2,5,6,9,10,12,13],[2,5,7,8,10,13,14],[3,4,5,7,10,11,13],[3,4,6,8,9,12,13],[3,4,6,8,10,11,14],[3,5,6,9,11,13,14],[3,5,7,8,11,12,14],[4,5,6,7,9,10,12]]; G[5594]:=Group([(2,13)(3,14)(5,12)(6,10)(8,11)]); # Design 5595: autom. group order 2, simple B[5595]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,9,11,14],[1,3,5,7,9,12,14],[1,3,7,8,9,10,13],[1,4,5,6,8,13,14],[1,4,7,10,12,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,11,12],[1,6,7,8,9,10,11],[2,3,6,7,11,12,13],[2,3,8,9,11,13,14],[2,4,5,9,10,11,14],[2,4,6,7,8,12,14],[2,4,7,8,9,10,12],[2,5,6,9,10,12,13],[2,5,7,8,10,13,14],[3,4,5,7,10,11,13],[3,4,6,8,9,12,13],[3,4,6,8,10,11,14],[3,5,6,9,10,12,14],[3,5,7,8,11,12,14],[4,5,6,7,9,11,13]]; G[5595]:=Group([(2,13)(3,14)(5,12)(6,10)(8,11)]); # Design 5596: autom. group order 2, simple, residual B[5596]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,9,10,13],[1,3,5,7,9,11,14],[1,3,7,8,10,11,12],[1,4,5,6,12,13,14],[1,4,7,8,11,13,14],[1,4,9,10,11,13,14],[1,5,6,8,9,12,14],[1,6,7,8,9,10,12],[2,3,6,8,9,11,14],[2,3,7,9,12,13,14],[2,4,5,7,10,12,14],[2,4,6,7,8,11,14],[2,4,7,8,9,12,13],[2,5,6,8,10,11,13],[2,5,9,10,11,12,14],[3,4,5,8,9,10,13],[3,4,6,8,10,12,14],[3,4,6,9,11,12,13],[3,5,6,7,11,12,13],[3,5,7,8,10,13,14],[4,5,6,7,9,10,11]]; G[5596]:=Group([(2,13)(3,14)(5,11)(6,10)(7,9)]); # Design 5597: autom. group order 2, simple, residual B[5597]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,9,10,13],[1,3,5,7,9,11,14],[1,3,7,8,10,11,12],[1,4,5,6,12,13,14],[1,4,7,8,11,13,14],[1,4,9,10,11,13,14],[1,5,6,8,9,12,14],[1,6,7,8,9,10,12],[2,3,6,8,9,11,14],[2,3,7,9,12,13,14],[2,4,5,7,8,10,14],[2,4,6,7,11,12,14],[2,4,7,8,9,12,13],[2,5,6,8,10,11,13],[2,5,9,10,11,12,14],[3,4,5,9,10,12,13],[3,4,6,8,9,11,13],[3,4,6,8,10,12,14],[3,5,6,7,11,12,13],[3,5,7,8,10,13,14],[4,5,6,7,9,10,11]]; G[5597]:=Group([(2,13)(3,14)(5,11)(6,10)(7,9)]); # Design 5598: autom. group order 2, simple, residual B[5598]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,9,10,13],[1,3,5,7,9,11,14],[1,3,7,8,9,12,14],[1,4,5,6,8,13,14],[1,4,7,11,12,13,14],[1,4,9,10,11,13,14],[1,5,6,8,10,11,12],[1,6,7,8,9,10,12],[2,3,6,9,11,12,14],[2,3,7,8,10,11,13],[2,4,5,7,10,12,14],[2,4,6,7,8,11,14],[2,4,7,8,9,12,13],[2,5,6,9,12,13,14],[2,5,8,9,10,11,14],[3,4,5,9,10,12,13],[3,4,6,8,9,11,13],[3,4,6,8,10,12,14],[3,5,6,7,11,12,13],[3,5,7,8,10,13,14],[4,5,6,7,9,10,11]]; G[5598]:=Group([(2,13)(3,14)(5,11)(6,10)(7,9)(8,12)]); # Design 5599: autom. group order 2, simple B[5599]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,11,14],[1,2,6,7,8,12,14],[1,3,5,7,12,13,14],[1,3,7,9,10,11,12],[1,4,5,6,11,13,14],[1,4,7,9,10,13,14],[1,4,8,10,12,13,14],[1,5,6,8,9,11,13],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,5,7,9,12,13],[2,4,6,7,10,11,13],[2,4,7,8,9,11,14],[2,5,6,9,10,12,14],[2,5,8,10,11,12,13],[3,4,5,8,11,12,14],[3,4,6,8,9,10,14],[3,4,6,9,11,12,13],[3,5,6,7,10,11,14],[3,5,7,8,9,10,13],[4,5,6,7,8,10,12]]; G[5599]:=Group([(2,14)(3,13)(5,10)(6,12)(7,8)]); # Design 5600: autom. group order 2, simple, residual B[5600]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,11,14],[1,2,6,7,8,12,14],[1,3,5,7,12,13,14],[1,3,7,9,10,11,12],[1,4,5,6,11,13,14],[1,4,7,9,10,13,14],[1,4,8,10,12,13,14],[1,5,6,8,9,11,13],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,5,7,9,12,13],[2,4,6,7,10,11,13],[2,4,7,8,9,11,14],[2,5,6,10,11,12,14],[2,5,8,9,10,12,13],[3,4,5,8,11,12,14],[3,4,6,8,9,10,14],[3,4,6,9,11,12,13],[3,5,6,7,9,10,14],[3,5,7,8,10,11,13],[4,5,6,7,8,10,12]]; G[5600]:=Group([(2,14)(3,13)(5,10)(6,12)(7,8)]); # Design 5601: autom. group order 2, simple B[5601]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,11,14],[1,2,6,7,8,12,14],[1,3,5,7,12,13,14],[1,3,7,9,10,11,12],[1,4,5,6,11,13,14],[1,4,7,9,10,13,14],[1,4,8,10,12,13,14],[1,5,6,8,9,11,13],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,5,7,11,12,13],[2,4,6,7,9,10,13],[2,4,7,8,9,11,14],[2,5,6,9,10,12,14],[2,5,8,10,11,12,13],[3,4,5,8,9,12,14],[3,4,6,8,10,11,14],[3,4,6,9,11,12,13],[3,5,6,7,10,11,14],[3,5,7,8,9,10,13],[4,5,6,7,8,10,12]]; G[5601]:=Group([(2,14)(3,13)(5,10)(6,12)(7,8)]); # Design 5602: autom. group order 2, simple, residual B[5602]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,11,14],[1,2,6,7,8,12,14],[1,3,5,7,12,13,14],[1,3,7,9,10,11,12],[1,4,5,6,11,13,14],[1,4,7,9,10,13,14],[1,4,8,10,12,13,14],[1,5,6,8,9,11,13],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,5,7,11,12,13],[2,4,6,7,9,10,13],[2,4,7,8,9,11,14],[2,5,6,10,11,12,14],[2,5,8,9,10,12,13],[3,4,5,8,9,12,14],[3,4,6,8,10,11,14],[3,4,6,9,11,12,13],[3,5,6,7,9,10,14],[3,5,7,8,10,11,13],[4,5,6,7,8,10,12]]; G[5602]:=Group([(2,14)(3,13)(5,10)(6,12)(7,8)]); # Design 5603: autom. group order 2, simple, residual B[5603]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,9,10,13],[1,3,5,7,9,11,14],[1,3,7,8,9,12,14],[1,4,5,6,12,13,14],[1,4,7,8,11,13,14],[1,4,9,10,11,13,14],[1,5,6,8,10,11,12],[1,6,7,8,9,10,12],[2,3,6,9,11,12,14],[2,3,7,8,10,11,13],[2,4,5,7,10,12,14],[2,4,6,7,8,11,14],[2,4,8,9,10,12,14],[2,5,6,8,9,13,14],[2,5,7,9,11,12,13],[3,4,5,8,9,10,13],[3,4,6,7,8,12,13],[3,4,6,9,11,12,13],[3,5,6,8,10,11,14],[3,5,7,10,12,13,14],[4,5,6,7,9,10,11]]; G[5603]:=Group([(2,13)(3,14)(5,11)(6,10)(7,9)]); # Design 5604: autom. group order 2, simple B[5604]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,9,10,13],[1,3,5,7,9,11,14],[1,3,7,8,10,11,12],[1,4,5,6,12,13,14],[1,4,7,8,11,13,14],[1,4,9,10,11,13,14],[1,5,6,8,9,12,14],[1,6,7,8,9,10,12],[2,3,6,9,11,12,14],[2,3,7,8,9,13,14],[2,4,5,7,10,12,14],[2,4,6,7,8,11,14],[2,4,8,9,10,12,14],[2,5,6,8,10,11,13],[2,5,7,9,11,12,13],[3,4,5,8,9,10,13],[3,4,6,7,8,12,13],[3,4,6,9,11,12,13],[3,5,6,8,10,11,14],[3,5,7,10,12,13,14],[4,5,6,7,9,10,11]]; G[5604]:=Group([(2,13)(3,14)(5,11)(6,10)(7,9)]); # Design 5605: autom. group order 2, simple B[5605]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,9,10,13],[1,3,5,7,9,11,14],[1,3,7,8,10,11,12],[1,4,5,6,12,13,14],[1,4,7,8,11,13,14],[1,4,9,10,11,13,14],[1,5,6,8,9,12,14],[1,6,7,8,9,10,12],[2,3,6,8,9,11,14],[2,3,7,9,12,13,14],[2,4,5,7,10,12,14],[2,4,6,7,8,11,14],[2,4,8,9,10,12,14],[2,5,6,8,10,11,13],[2,5,7,9,11,12,13],[3,4,5,8,9,10,13],[3,4,6,7,8,12,13],[3,4,6,9,11,12,13],[3,5,6,10,11,12,14],[3,5,7,8,10,13,14],[4,5,6,7,9,10,11]]; G[5605]:=Group([(2,13)(3,14)(5,11)(6,10)(7,9)]); # Design 5606: autom. group order 2, simple, residual B[5606]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,11,13],[1,3,5,7,11,12,13],[1,3,7,8,9,10,12],[1,4,5,6,9,12,14],[1,4,7,8,10,11,14],[1,4,9,10,12,13,14],[1,5,6,8,10,12,13],[1,6,7,8,9,11,14],[2,3,6,8,9,12,14],[2,3,7,9,10,13,14],[2,4,5,7,8,10,14],[2,4,6,7,8,12,13],[2,4,8,9,11,12,13],[2,5,6,10,11,12,14],[2,5,7,9,10,11,12],[3,4,5,9,11,13,14],[3,4,6,7,11,12,14],[3,4,6,8,10,11,13],[3,5,6,8,9,10,11],[3,5,7,8,12,13,14],[4,5,6,7,9,10,13]]; G[5606]:=Group([(1,11)(3,12)(4,10)(6,9)(8,14)]); # Design 5607: autom. group order 2, simple, residual B[5607]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,11,13],[1,3,5,7,11,12,13],[1,3,7,8,9,10,12],[1,4,5,6,9,12,14],[1,4,7,8,10,11,14],[1,4,9,10,12,13,14],[1,5,6,8,10,12,13],[1,6,7,8,9,11,14],[2,3,6,8,9,12,14],[2,3,7,8,12,13,14],[2,4,5,7,8,10,14],[2,4,6,7,9,10,13],[2,4,8,9,11,12,13],[2,5,6,10,11,12,14],[2,5,7,9,10,11,12],[3,4,5,9,11,13,14],[3,4,6,7,11,12,14],[3,4,6,8,10,11,13],[3,5,6,8,9,10,11],[3,5,7,9,10,13,14],[4,5,6,7,8,12,13]]; G[5607]:=Group([(1,11)(3,12)(4,10)(6,9)(8,14)]); # Design 5608: autom. group order 2, simple B[5608]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,11,14],[1,2,6,7,8,12,14],[1,3,5,7,12,13,14],[1,3,7,9,10,11,12],[1,4,5,6,11,13,14],[1,4,7,9,10,13,14],[1,4,8,10,12,13,14],[1,5,6,8,9,11,13],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,5,7,11,12,13],[2,4,6,7,9,10,13],[2,4,8,9,11,12,13],[2,5,6,9,10,12,14],[2,5,7,8,10,11,14],[3,4,5,8,9,12,14],[3,4,6,7,9,11,14],[3,4,6,8,10,11,14],[3,5,6,10,11,12,13],[3,5,7,8,9,10,13],[4,5,6,7,8,10,12]]; G[5608]:=Group([(2,14)(3,13)(5,10)(6,12)(7,8)]); # Design 5609: autom. group order 2, simple B[5609]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,11,14],[1,2,6,7,8,12,14],[1,3,5,7,12,13,14],[1,3,7,9,10,11,12],[1,4,5,6,11,13,14],[1,4,7,9,10,13,14],[1,4,8,10,12,13,14],[1,5,6,8,9,11,13],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,5,7,11,12,13],[2,4,6,7,9,10,13],[2,4,8,9,11,12,13],[2,5,6,10,11,12,14],[2,5,7,8,9,10,14],[3,4,5,8,9,12,14],[3,4,6,7,9,11,14],[3,4,6,8,10,11,14],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,7,8,10,12]]; G[5609]:=Group([(2,14)(3,13)(5,10)(6,12)(7,8)]); # Design 5610: autom. group order 2, simple B[5610]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,11,14],[1,2,6,7,8,12,14],[1,3,5,7,12,13,14],[1,3,7,9,10,11,12],[1,4,5,6,11,13,14],[1,4,7,9,10,13,14],[1,4,8,10,12,13,14],[1,5,6,8,9,11,13],[1,6,7,8,9,11,12],[2,3,6,11,12,13,14],[2,3,7,8,9,13,14],[2,4,5,7,9,12,13],[2,4,6,7,10,11,13],[2,4,8,9,11,12,13],[2,5,6,9,10,12,14],[2,5,7,8,10,11,14],[3,4,5,8,11,12,14],[3,4,6,7,9,11,14],[3,4,6,8,9,10,14],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,7,8,10,12]]; G[5610]:=Group([(2,14)(3,13)(5,10)(6,12)(7,8)]); # Design 5611: autom. group order 2, simple B[5611]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,6,7,9,10,14],[1,3,5,7,9,11,14],[1,3,7,8,9,12,13],[1,4,5,6,8,13,14],[1,4,7,11,12,13,14],[1,4,9,10,11,13,14],[1,5,6,8,10,11,12],[1,6,7,8,9,10,12],[2,3,6,9,12,13,14],[2,3,7,8,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,9,11,14],[2,4,7,8,9,11,12],[2,5,6,9,11,12,13],[2,5,7,8,10,11,13],[3,4,5,9,10,12,13],[3,4,6,7,8,11,13],[3,4,6,8,10,12,14],[3,5,6,7,11,12,14],[3,5,8,9,10,11,14],[4,5,6,7,9,10,13]]; G[5611]:=Group([(2,13)(3,14)(5,11)(6,12)(8,10)]); # Design 5612: autom. group order 2, simple, residual B[5612]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,6,7,9,10,14],[1,3,5,7,9,11,14],[1,3,7,8,9,12,13],[1,4,5,6,8,13,14],[1,4,7,11,12,13,14],[1,4,9,10,11,13,14],[1,5,6,8,10,11,12],[1,6,7,8,9,10,12],[2,3,6,9,12,13,14],[2,3,7,8,11,12,14],[2,4,5,7,10,12,14],[2,4,6,8,9,11,14],[2,4,7,8,9,10,13],[2,5,6,9,11,12,13],[2,5,7,8,10,11,13],[3,4,5,9,10,12,13],[3,4,6,7,8,11,13],[3,4,6,8,10,12,14],[3,5,6,7,10,13,14],[3,5,8,9,10,11,14],[4,5,6,7,9,11,12]]; G[5612]:=Group([(2,13)(3,14)(5,11)(6,12)(8,10)]); # Design 5613: autom. group order 2, simple, residual B[5613]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,6,7,9,12,13],[1,3,5,7,9,10,14],[1,3,7,8,9,11,14],[1,4,5,6,8,13,14],[1,4,7,10,12,13,14],[1,4,9,10,11,13,14],[1,5,6,8,10,11,12],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,10,12,14],[2,4,5,7,11,12,14],[2,4,6,8,9,10,14],[2,4,7,8,9,11,13],[2,5,6,9,10,11,14],[2,5,7,8,10,11,13],[3,4,5,9,11,12,13],[3,4,6,7,8,10,13],[3,4,6,8,11,12,14],[3,5,6,7,11,13,14],[3,5,8,9,10,12,13],[4,5,6,7,9,10,12]]; G[5613]:=Group([(2,13)(3,14)(5,10)(6,12)(8,11)]); # Design 5614: autom. group order 2, simple, residual B[5614]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,6,7,9,12,13],[1,3,5,7,9,10,14],[1,3,7,8,9,11,14],[1,4,5,6,8,13,14],[1,4,7,10,12,13,14],[1,4,9,10,11,13,14],[1,5,6,8,10,11,12],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,5,7,11,12,14],[2,4,6,8,9,10,14],[2,4,7,8,9,10,12],[2,5,6,9,10,11,14],[2,5,7,8,10,11,13],[3,4,5,9,11,12,13],[3,4,6,7,8,10,13],[3,4,6,8,11,12,14],[3,5,6,7,10,12,14],[3,5,8,9,10,12,13],[4,5,6,7,9,11,13]]; G[5614]:=Group([(2,13)(3,14)(5,10)(6,12)(8,11)]); # Design 5615: autom. group order 2, simple, residual B[5615]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,9,10,13],[1,3,5,7,9,11,14],[1,3,7,8,9,12,14],[1,4,5,6,8,13,14],[1,4,7,10,11,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,11,12],[1,6,7,8,9,10,12],[2,3,6,9,11,12,13],[2,3,7,8,12,13,14],[2,4,5,9,10,12,14],[2,4,6,7,8,11,14],[2,4,7,8,9,10,11],[2,5,6,7,11,12,14],[2,5,8,9,10,13,14],[3,4,5,7,10,12,13],[3,4,6,8,9,11,13],[3,4,6,8,10,12,14],[3,5,6,9,10,11,14],[3,5,7,8,10,11,13],[4,5,6,7,9,12,13]]; G[5615]:=Group([(2,13)(3,14)(5,11)(6,10)(8,12)]); # Design 5616: autom. group order 2, simple B[5616]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,6,7,9,10,14],[1,3,5,7,9,11,14],[1,3,7,8,9,12,13],[1,4,5,6,8,13,14],[1,4,7,11,12,13,14],[1,4,9,10,11,13,14],[1,5,6,8,10,11,12],[1,6,7,8,9,10,12],[2,3,6,9,12,13,14],[2,3,7,8,10,13,14],[2,4,5,9,10,12,14],[2,4,6,7,8,11,14],[2,4,7,8,9,11,12],[2,5,6,7,11,12,13],[2,5,8,9,10,11,13],[3,4,5,7,10,12,13],[3,4,6,8,9,11,13],[3,4,6,8,10,12,14],[3,5,6,9,11,12,14],[3,5,7,8,10,11,14],[4,5,6,7,9,10,13]]; G[5616]:=Group([(2,13)(3,14)(5,11)(6,12)(8,10)]); # Design 5617: autom. group order 2, simple B[5617]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,6,7,9,12,13],[1,3,5,7,9,10,14],[1,3,7,8,9,11,14],[1,4,5,6,8,13,14],[1,4,7,10,12,13,14],[1,4,9,10,11,13,14],[1,5,6,8,10,11,12],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,5,9,11,12,14],[2,4,6,7,8,10,14],[2,4,7,8,9,10,12],[2,5,6,7,10,11,14],[2,5,8,9,10,11,13],[3,4,5,7,11,12,13],[3,4,6,8,9,10,13],[3,4,6,8,11,12,14],[3,5,6,9,10,12,14],[3,5,7,8,10,12,13],[4,5,6,7,9,11,13]]; G[5617]:=Group([(2,13)(3,14)(5,10)(6,12)(8,11)]); # Design 5618: autom. group order 2, simple B[5618]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,9,11,14],[1,3,5,7,9,12,14],[1,3,7,8,9,10,13],[1,4,5,6,8,13,14],[1,4,7,10,12,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,11,12],[1,6,7,8,9,10,11],[2,3,6,9,11,12,13],[2,3,7,8,11,13,14],[2,4,5,9,10,11,14],[2,4,6,7,8,12,14],[2,4,7,8,9,10,12],[2,5,6,7,10,12,13],[2,5,8,9,10,13,14],[3,4,5,7,10,11,13],[3,4,6,8,9,12,13],[3,4,6,8,10,11,14],[3,5,6,9,10,12,14],[3,5,7,8,11,12,14],[4,5,6,7,9,11,13]]; G[5618]:=Group([(2,13)(3,14)(5,12)(6,10)(8,11)]); # Design 5619: autom. group order 2, simple, residual B[5619]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,6,7,9,10,14],[1,3,5,7,9,11,14],[1,3,7,8,9,12,13],[1,4,5,6,8,13,14],[1,4,7,11,12,13,14],[1,4,9,10,11,13,14],[1,5,6,8,10,11,12],[1,6,7,8,9,10,12],[2,3,6,9,12,13,14],[2,3,7,8,11,12,14],[2,4,5,9,10,12,14],[2,4,6,7,8,11,14],[2,4,7,8,9,10,13],[2,5,6,9,11,12,13],[2,5,7,8,10,11,13],[3,4,5,7,10,12,13],[3,4,6,8,9,11,13],[3,4,6,8,10,12,14],[3,5,6,7,10,13,14],[3,5,8,9,10,11,14],[4,5,6,7,9,11,12]]; G[5619]:=Group([(2,13)(3,14)(5,11)(6,12)(8,10)]); # Design 5620: autom. group order 2, simple, residual B[5620]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,6,7,9,12,13],[1,3,5,7,9,10,14],[1,3,7,8,9,11,14],[1,4,5,6,8,13,14],[1,4,7,10,12,13,14],[1,4,9,10,11,13,14],[1,5,6,8,10,11,12],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,10,12,14],[2,4,5,9,11,12,14],[2,4,6,7,8,10,14],[2,4,7,8,9,11,13],[2,5,6,9,10,11,14],[2,5,7,8,10,11,13],[3,4,5,7,11,12,13],[3,4,6,8,9,10,13],[3,4,6,8,11,12,14],[3,5,6,7,11,13,14],[3,5,8,9,10,12,13],[4,5,6,7,9,10,12]]; G[5620]:=Group([(2,13)(3,14)(5,10)(6,12)(8,11)]); # Design 5621: autom. group order 2, simple, residual B[5621]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,6,7,9,12,13],[1,3,5,7,9,10,14],[1,3,7,8,9,11,14],[1,4,5,6,8,13,14],[1,4,7,10,12,13,14],[1,4,9,10,11,13,14],[1,5,6,8,10,11,12],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,5,9,11,12,14],[2,4,6,7,8,10,14],[2,4,7,8,9,10,12],[2,5,6,9,10,11,14],[2,5,7,8,10,11,13],[3,4,5,7,11,12,13],[3,4,6,8,9,10,13],[3,4,6,8,11,12,14],[3,5,6,7,10,12,14],[3,5,8,9,10,12,13],[4,5,6,7,9,11,13]]; G[5621]:=Group([(2,13)(3,14)(5,10)(6,12)(8,11)]); # Design 5622: autom. group order 2, simple, residual B[5622]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,9,11,14],[1,3,5,7,9,10,13],[1,3,7,8,9,12,14],[1,4,5,6,12,13,14],[1,4,7,10,11,13,14],[1,4,8,9,11,13,14],[1,5,6,8,10,11,12],[1,6,7,8,9,10,12],[2,3,6,9,11,12,14],[2,3,7,8,10,11,13],[2,4,5,8,9,10,14],[2,4,6,9,10,12,13],[2,4,7,8,10,12,14],[2,5,6,7,8,13,14],[2,5,7,9,11,12,13],[3,4,5,7,11,12,14],[3,4,6,7,8,12,13],[3,4,6,8,9,11,13],[3,5,6,8,10,11,14],[3,5,9,10,12,13,14],[4,5,6,7,9,10,11]]; G[5622]:=Group([(2,13)(3,14)(5,11)(6,10)]); # Design 5623: autom. group order 2, simple, residual B[5623]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,9,10,13],[1,3,5,7,9,11,14],[1,3,7,8,9,12,14],[1,4,5,6,8,13,14],[1,4,7,11,12,13,14],[1,4,9,10,11,13,14],[1,5,6,8,10,11,12],[1,6,7,8,9,10,12],[2,3,6,9,11,12,13],[2,3,7,8,10,11,14],[2,4,5,9,10,12,14],[2,4,6,8,9,11,14],[2,4,7,8,9,12,13],[2,5,6,7,11,12,14],[2,5,7,8,10,13,14],[3,4,5,7,10,12,13],[3,4,6,7,8,11,13],[3,4,6,8,10,12,14],[3,5,6,9,12,13,14],[3,5,8,9,10,11,13],[4,5,6,7,9,10,11]]; G[5623]:=Group([(2,13)(3,14)(5,11)(6,10)(7,9)(8,12)]); # Design 5624: autom. group order 2, simple, residual B[5624]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,7,9,12,14],[1,3,5,11,12,13,14],[1,3,7,9,10,12,13],[1,4,5,6,10,12,14],[1,4,7,8,9,10,11],[1,4,7,8,12,13,14],[1,5,6,7,8,11,13],[1,6,8,9,10,11,14],[2,3,6,7,9,11,14],[2,3,7,8,10,13,14],[2,4,5,9,10,13,14],[2,4,6,7,11,12,13],[2,4,8,9,11,12,13],[2,5,6,8,10,11,12],[2,5,7,8,10,12,14],[3,4,5,7,8,11,14],[3,4,6,8,9,12,14],[3,4,6,10,11,13,14],[3,5,6,8,9,12,13],[3,5,7,9,10,11,12],[4,5,6,7,9,10,13]]; G[5624]:=Group([(1,11)(3,12)(5,13)]); # Design 5625: autom. group order 2, simple, residual B[5625]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,7,8,12,13],[1,3,5,10,11,12,14],[1,3,7,9,11,12,13],[1,4,5,6,11,13,14],[1,4,7,8,9,10,14],[1,4,7,9,10,12,13],[1,5,6,8,9,12,14],[1,6,7,8,10,11,14],[2,3,6,7,9,12,14],[2,3,8,9,10,13,14],[2,4,5,7,10,13,14],[2,4,6,9,11,12,14],[2,4,8,11,12,13,14],[2,5,6,7,9,10,11],[2,5,7,8,10,11,12],[3,4,5,7,8,12,14],[3,4,6,7,8,11,13],[3,4,6,8,9,10,11],[3,5,6,8,10,12,13],[3,5,7,9,11,13,14],[4,5,6,9,10,12,13]]; G[5625]:=Group([(1,12)(3,11)(5,14)(6,8)(7,13)]); # Design 5626: autom. group order 2, simple B[5626]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,7,8,12,13],[1,3,5,10,11,12,14],[1,3,7,9,11,12,13],[1,4,5,6,8,12,14],[1,4,7,8,9,10,14],[1,4,7,9,10,12,13],[1,5,6,9,11,13,14],[1,6,7,8,10,11,14],[2,3,6,7,9,12,14],[2,3,8,9,10,13,14],[2,4,5,7,10,13,14],[2,4,6,9,11,12,14],[2,4,8,11,12,13,14],[2,5,6,7,9,10,11],[2,5,7,8,10,11,12],[3,4,5,7,11,13,14],[3,4,6,7,8,11,13],[3,4,6,8,9,10,11],[3,5,6,8,10,12,13],[3,5,7,8,9,12,14],[4,5,6,9,10,12,13]]; G[5626]:=Group([(1,12)(3,11)(5,14)(6,8)(7,13)]); # Design 5627: autom. group order 2, simple B[5627]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,9,12,13],[1,3,5,10,11,12,14],[1,3,7,8,10,12,13],[1,4,5,6,9,12,14],[1,4,7,8,9,11,14],[1,4,7,8,11,12,13],[1,5,6,8,10,13,14],[1,6,7,9,10,11,14],[2,3,6,7,11,12,14],[2,3,8,9,11,13,14],[2,4,5,7,11,13,14],[2,4,6,8,10,12,14],[2,4,9,10,12,13,14],[2,5,6,7,8,10,11],[2,5,7,8,9,10,12],[3,4,5,7,10,13,14],[3,4,6,7,9,10,13],[3,4,6,8,9,10,11],[3,5,6,9,11,12,13],[3,5,7,8,9,12,14],[4,5,6,8,11,12,13]]; G[5627]:=Group([(1,12)(3,10)(5,14)(6,9)(7,13)]); # Design 5628: autom. group order 2, simple, residual B[5628]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,9,12,13],[1,3,5,10,11,12,14],[1,3,7,8,10,12,13],[1,4,5,6,10,13,14],[1,4,7,8,9,11,14],[1,4,7,8,11,12,13],[1,5,6,8,9,12,14],[1,6,7,9,10,11,14],[2,3,6,7,11,12,14],[2,3,8,9,11,13,14],[2,4,5,7,11,13,14],[2,4,6,8,10,12,14],[2,4,9,10,12,13,14],[2,5,6,7,8,10,11],[2,5,7,8,9,10,12],[3,4,5,7,9,12,14],[3,4,6,7,9,10,13],[3,4,6,8,9,10,11],[3,5,6,9,11,12,13],[3,5,7,8,10,13,14],[4,5,6,8,11,12,13]]; G[5628]:=Group([(1,12)(3,10)(5,14)(6,9)(7,13)]); # Design 5629: autom. group order 2, simple, residual B[5629]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,11,13],[1,3,5,8,11,12,14],[1,3,7,9,10,11,14],[1,4,5,6,9,12,13],[1,4,7,8,9,10,14],[1,4,8,9,10,12,13],[1,5,6,7,10,11,12],[1,6,7,8,12,13,14],[2,3,6,7,8,9,12],[2,3,7,8,10,12,13],[2,4,5,7,10,13,14],[2,4,6,8,11,12,14],[2,4,7,9,11,12,14],[2,5,6,8,9,10,14],[2,5,9,10,11,12,13],[3,4,5,7,12,13,14],[3,4,6,8,10,11,13],[3,4,6,9,11,13,14],[3,5,6,9,10,12,14],[3,5,7,8,9,11,13],[4,5,6,7,8,10,11]]; G[5629]:=Group([(1,11)(3,12)(5,14)(6,9)]); # Design 5630: autom. group order 2, simple, residual B[5630]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,8,11,14],[1,3,5,9,10,12,13],[1,3,7,8,9,12,14],[1,4,5,6,8,13,14],[1,4,7,11,12,13,14],[1,4,9,10,11,13,14],[1,5,6,7,9,10,11],[1,6,7,8,9,10,12],[2,3,6,9,11,12,14],[2,3,7,8,10,11,13],[2,4,5,7,10,12,14],[2,4,6,7,9,10,13],[2,4,7,8,9,12,13],[2,5,6,9,12,13,14],[2,5,8,9,10,11,14],[3,4,5,7,9,11,14],[3,4,6,8,9,11,13],[3,4,6,8,10,12,14],[3,5,6,7,11,12,13],[3,5,7,8,10,13,14],[4,5,6,8,10,11,12]]; G[5630]:=Group([(2,13)(3,14)(5,11)(6,10)(7,9)(8,12)]); # Design 5631: autom. group order 2, simple, residual B[5631]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,11,13],[1,3,5,8,11,12,14],[1,3,7,10,11,12,13],[1,4,5,6,9,10,12],[1,4,7,8,9,12,13],[1,4,8,9,10,13,14],[1,5,6,7,9,11,14],[1,6,7,8,10,12,14],[2,3,6,8,9,12,13],[2,3,7,8,9,10,14],[2,4,5,7,10,13,14],[2,4,6,8,11,12,14],[2,4,7,9,11,12,14],[2,5,6,7,8,10,12],[2,5,9,10,11,12,13],[3,4,5,7,12,13,14],[3,4,6,7,8,11,13],[3,4,6,9,10,11,14],[3,5,6,9,12,13,14],[3,5,7,8,9,10,11],[4,5,6,8,10,11,13]]; G[5631]:=Group([(1,11)(3,12)(5,14)(6,9)]); # Design 5632: autom. group order 2, simple B[5632]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,7,8,12,13],[1,3,5,10,11,12,14],[1,3,8,9,12,13,14],[1,4,5,6,11,13,14],[1,4,7,8,9,10,14],[1,4,7,9,10,12,13],[1,5,6,7,9,11,12],[1,6,7,8,10,11,14],[2,3,6,7,9,12,14],[2,3,7,9,10,11,13],[2,4,5,7,10,13,14],[2,4,6,9,11,12,14],[2,4,8,11,12,13,14],[2,5,6,8,9,10,14],[2,5,7,8,10,11,12],[3,4,5,7,8,12,14],[3,4,6,7,8,11,13],[3,4,6,8,9,10,11],[3,5,6,8,10,12,13],[3,5,7,9,11,13,14],[4,5,6,9,10,12,13]]; G[5632]:=Group([(1,12)(3,11)(5,14)(6,8)(7,13)]); # Design 5633: autom. group order 2, simple, residual B[5633]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,8,9,11,14],[1,3,5,7,10,12,13],[1,3,7,8,9,12,14],[1,4,5,6,8,13,14],[1,4,7,11,12,13,14],[1,4,9,10,11,13,14],[1,5,6,7,9,10,11],[1,6,7,8,9,10,12],[2,3,6,9,11,12,13],[2,3,7,8,10,11,14],[2,4,5,9,10,12,14],[2,4,6,7,9,10,13],[2,4,7,8,9,12,13],[2,5,6,7,11,12,14],[2,5,7,8,10,13,14],[3,4,5,7,9,11,14],[3,4,6,7,8,11,13],[3,4,6,8,10,12,14],[3,5,6,9,12,13,14],[3,5,8,9,10,11,13],[4,5,6,8,10,11,12]]; G[5633]:=Group([(2,13)(3,14)(5,11)(6,10)(7,9)(8,12)]); # Design 5634: autom. group order 2, simple, residual B[5634]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,10,11,12,14],[1,3,5,7,10,13,14],[1,3,8,9,10,12,13],[1,4,5,6,12,13,14],[1,4,7,8,9,11,14],[1,4,7,8,10,11,14],[1,5,6,7,9,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,11,12],[2,3,7,9,11,13,14],[2,4,5,8,9,12,14],[2,4,6,7,8,10,13],[2,4,7,9,10,12,13],[2,5,6,7,9,10,14],[2,5,8,11,12,13,14],[3,4,5,7,11,12,13],[3,4,6,9,10,12,14],[3,4,6,9,11,13,14],[3,5,6,8,9,10,11],[3,5,7,8,10,12,14],[4,5,6,8,10,11,13]]; G[5634]:=Group([(1,14)(2,5)(3,12)(4,8)(6,13)(7,11)]); # Design 5635: autom. group order 2, simple, residual B[5635]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,7,8,12,14],[1,3,5,9,12,13,14],[1,3,7,8,9,11,13],[1,4,5,6,9,13,14],[1,4,7,10,12,13,14],[1,4,8,10,11,13,14],[1,5,6,9,10,11,12],[1,6,7,8,9,11,12],[2,3,7,9,11,13,14],[2,3,8,9,10,12,14],[2,4,5,7,11,12,13],[2,4,6,8,9,10,13],[2,4,6,9,11,12,14],[2,5,6,8,11,13,14],[2,5,7,9,10,12,13],[3,4,5,8,11,12,14],[3,4,6,7,8,12,13],[3,4,6,7,9,10,14],[3,5,6,7,10,11,14],[3,5,6,8,10,12,13],[4,5,7,8,9,10,11]]; G[5635]:=Group([(2,14)(3,13)(5,10)(6,12)(9,11)]); # Design 5636: autom. group order 2, simple, residual B[5636]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,7,8,12,14],[1,3,5,9,12,13,14],[1,3,7,8,9,11,13],[1,4,5,6,9,13,14],[1,4,7,10,12,13,14],[1,4,8,10,11,13,14],[1,5,6,9,10,11,12],[1,6,7,8,9,11,12],[2,3,7,9,11,13,14],[2,3,8,9,10,12,14],[2,4,5,8,11,12,13],[2,4,6,7,9,10,13],[2,4,6,9,11,12,14],[2,5,6,8,11,13,14],[2,5,7,9,10,12,13],[3,4,5,7,11,12,14],[3,4,6,7,8,12,13],[3,4,6,8,9,10,14],[3,5,6,7,10,11,14],[3,5,6,8,10,12,13],[4,5,7,8,9,10,11]]; G[5636]:=Group([(2,14)(3,13)(5,10)(6,12)(9,11)]); # Design 5637: autom. group order 2, simple B[5637]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,8,12,14],[1,3,5,9,11,12,14],[1,3,7,8,9,10,13],[1,4,5,6,9,13,14],[1,4,7,10,11,13,14],[1,4,8,11,12,13,14],[1,5,6,9,10,11,12],[1,6,7,8,9,10,12],[2,3,7,9,12,13,14],[2,3,8,9,10,11,14],[2,4,5,8,10,12,14],[2,4,6,7,9,11,14],[2,4,6,9,10,12,13],[2,5,6,8,10,11,13],[2,5,7,9,11,12,13],[3,4,5,7,10,12,13],[3,4,6,7,8,11,12],[3,4,6,8,9,11,13],[3,5,6,7,10,11,14],[3,5,6,8,12,13,14],[4,5,7,8,9,10,14]]; G[5637]:=Group([(2,13)(3,14)(5,11)(6,10)(9,12)]); # Design 5638: autom. group order 2, simple B[5638]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,7,9,12,14],[1,3,5,9,10,12,14],[1,3,8,9,11,12,13],[1,4,5,6,12,13,14],[1,4,7,9,10,13,14],[1,4,8,10,11,13,14],[1,5,6,7,8,10,11],[1,6,7,8,9,11,12],[2,3,7,8,9,13,14],[2,3,7,10,11,12,14],[2,4,5,8,9,11,14],[2,4,6,8,10,12,14],[2,4,6,9,11,12,13],[2,5,6,9,10,11,13],[2,5,7,8,10,12,13],[3,4,5,7,11,12,13],[3,4,6,7,8,11,14],[3,4,6,7,9,10,13],[3,5,6,8,12,13,14],[3,5,6,9,10,11,14],[4,5,7,8,9,10,12]]; G[5638]:=Group([(2,13)(3,14)(5,10)(6,11)(7,8)]); # Design 5639: autom. group order 2, simple B[5639]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,7,9,12,14],[1,3,5,9,10,12,14],[1,3,8,9,11,12,13],[1,4,5,6,12,13,14],[1,4,7,9,10,13,14],[1,4,8,10,11,13,14],[1,5,6,7,8,10,11],[1,6,7,8,9,11,12],[2,3,7,8,9,13,14],[2,3,7,10,11,12,14],[2,4,5,8,11,12,14],[2,4,6,8,9,10,14],[2,4,6,9,11,12,13],[2,5,6,9,10,11,13],[2,5,7,8,10,12,13],[3,4,5,7,9,11,13],[3,4,6,7,8,11,14],[3,4,6,7,10,12,13],[3,5,6,8,12,13,14],[3,5,6,9,10,11,14],[4,5,7,8,9,10,12]]; G[5639]:=Group([(2,13)(3,14)(5,10)(6,11)(7,8)]); # Design 5640: autom. group order 2, simple, residual B[5640]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,7,9,12,14],[1,3,5,9,10,12,14],[1,3,8,9,11,12,13],[1,4,5,6,12,13,14],[1,4,7,9,10,13,14],[1,4,8,10,11,13,14],[1,5,6,7,8,10,11],[1,6,7,8,9,11,12],[2,3,7,8,12,13,14],[2,3,7,9,10,11,14],[2,4,5,8,11,12,14],[2,4,6,8,9,10,14],[2,4,6,9,11,12,13],[2,5,6,9,10,11,13],[2,5,7,8,10,12,13],[3,4,5,7,9,11,13],[3,4,6,7,8,11,14],[3,4,6,7,10,12,13],[3,5,6,8,9,13,14],[3,5,6,10,11,12,14],[4,5,7,8,9,10,12]]; G[5640]:=Group([(2,13)(3,14)(5,10)(6,11)(7,8)]); # Design 5641: autom. group order 2, simple, residual B[5641]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,13],[1,3,5,9,11,12,14],[1,3,7,8,9,12,14],[1,4,5,6,12,13,14],[1,4,7,9,11,13,14],[1,4,8,10,11,13,14],[1,5,6,7,8,10,11],[1,6,7,8,9,10,12],[2,3,7,8,12,13,14],[2,3,7,9,10,11,13],[2,4,5,7,10,12,14],[2,4,6,7,9,11,14],[2,4,6,8,9,11,12],[2,5,6,8,9,13,14],[2,5,8,10,11,12,14],[3,4,5,8,9,10,13],[3,4,6,7,8,10,14],[3,4,6,8,11,12,13],[3,5,6,7,11,12,13],[3,5,6,9,10,11,14],[4,5,7,9,10,12,13]]; G[5641]:=Group([(2,13)(3,14)(5,11)(6,10)(7,8)]); # Design 5642: autom. group order 2, simple, residual B[5642]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,9,10,13],[1,3,5,7,9,11,14],[1,3,7,8,9,12,14],[1,4,5,6,8,13,14],[1,4,7,10,11,13,14],[1,4,9,11,12,13,14],[1,5,6,8,10,11,12],[1,6,7,8,9,10,12],[2,3,7,8,12,13,14],[2,3,8,9,10,11,13],[2,4,5,7,10,12,14],[2,4,6,7,9,11,12],[2,4,6,8,9,11,14],[2,5,6,9,12,13,14],[2,5,7,8,10,11,14],[3,4,5,9,10,12,13],[3,4,6,7,8,11,13],[3,4,6,8,10,12,14],[3,5,6,7,11,12,13],[3,5,6,9,10,11,14],[4,5,7,8,9,10,13]]; G[5642]:=Group([(2,13)(3,14)(5,11)(6,10)(8,12)]); # Design 5643: autom. group order 2, simple, residual B[5643]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,6,7,9,10,14],[1,3,5,7,9,11,14],[1,3,7,8,9,12,13],[1,4,5,6,8,13,14],[1,4,7,11,12,13,14],[1,4,9,10,11,13,14],[1,5,6,8,10,11,12],[1,6,7,8,9,10,12],[2,3,7,8,10,13,14],[2,3,8,9,11,12,14],[2,4,5,7,10,12,14],[2,4,6,7,9,12,13],[2,4,6,8,9,11,14],[2,5,6,9,11,12,13],[2,5,7,8,10,11,13],[3,4,5,9,10,12,13],[3,4,6,7,8,11,13],[3,4,6,8,10,12,14],[3,5,6,7,11,12,14],[3,5,6,9,10,13,14],[4,5,7,8,9,10,11]]; G[5643]:=Group([(2,13)(3,14)(5,11)(6,12)(8,10)]); # Design 5644: autom. group order 2, simple B[5644]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,6,7,9,10,14],[1,3,5,7,9,11,14],[1,3,7,8,9,12,13],[1,4,5,6,8,13,14],[1,4,7,11,12,13,14],[1,4,9,10,11,13,14],[1,5,6,8,10,11,12],[1,6,7,8,9,10,12],[2,3,7,8,11,12,14],[2,3,8,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,7,9,12,13],[2,4,6,8,9,11,14],[2,5,6,9,11,12,13],[2,5,7,8,10,11,13],[3,4,5,9,10,12,13],[3,4,6,7,8,11,13],[3,4,6,8,10,12,14],[3,5,6,7,10,13,14],[3,5,6,9,11,12,14],[4,5,7,8,9,10,11]]; G[5644]:=Group([(2,13)(3,14)(5,11)(6,12)(8,10)]); # Design 5645: autom. group order 2, simple, residual B[5645]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,6,7,9,10,14],[1,3,5,7,9,11,14],[1,3,7,8,9,12,13],[1,4,5,6,8,13,14],[1,4,7,11,12,13,14],[1,4,9,10,11,13,14],[1,5,6,8,10,11,12],[1,6,7,8,9,10,12],[2,3,7,8,10,13,14],[2,3,8,9,11,12,14],[2,4,5,9,10,12,14],[2,4,6,7,8,11,14],[2,4,6,7,9,12,13],[2,5,6,9,11,12,13],[2,5,7,8,10,11,13],[3,4,5,7,10,12,13],[3,4,6,8,9,11,13],[3,4,6,8,10,12,14],[3,5,6,7,11,12,14],[3,5,6,9,10,13,14],[4,5,7,8,9,10,11]]; G[5645]:=Group([(2,13)(3,14)(5,11)(6,12)(8,10)]); # Design 5646: autom. group order 2, simple B[5646]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,8,11,14],[1,3,5,7,9,12,14],[1,3,8,9,10,11,13],[1,4,5,6,11,13,14],[1,4,7,8,12,13,14],[1,4,9,10,12,13,14],[1,5,6,7,9,10,12],[1,6,7,8,9,10,11],[2,3,7,8,10,12,14],[2,3,7,9,11,13,14],[2,4,5,8,9,10,14],[2,4,6,7,9,10,13],[2,4,6,9,11,12,14],[2,5,6,8,10,12,13],[2,5,7,9,11,12,13],[3,4,5,7,10,11,13],[3,4,6,7,8,12,13],[3,4,6,8,9,11,12],[3,5,6,8,9,13,14],[3,5,6,10,11,12,14],[4,5,7,8,10,11,14]]; G[5646]:=Group([(2,13)(3,14)(5,12)(6,10)(7,9)]); # Design 5647: autom. group order 2, simple, residual B[5647]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,12,14],[1,2,6,8,11,13,14],[1,3,5,7,12,13,14],[1,3,7,9,11,12,13],[1,4,5,6,9,12,14],[1,4,7,8,9,10,14],[1,4,7,8,10,13,14],[1,5,6,9,10,11,13],[1,6,7,8,9,11,12],[2,3,7,9,10,11,14],[2,3,8,9,12,13,14],[2,4,5,7,11,13,14],[2,4,6,7,8,11,12],[2,4,6,9,12,13,14],[2,5,6,7,9,10,13],[2,5,7,8,9,10,12],[3,4,5,8,9,11,13],[3,4,6,7,10,12,13],[3,4,6,9,10,11,14],[3,5,6,7,8,11,14],[3,5,6,8,10,12,14],[4,5,8,10,11,12,13]]; G[5647]:=Group([(1,8)(2,6)(3,11)(4,7)(5,12)(10,14)]); # Design 5648: autom. group order 2, simple, residual B[5648]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,11,14],[1,2,6,9,11,12,14],[1,3,5,7,12,13,14],[1,3,7,8,9,11,13],[1,4,5,6,11,13,14],[1,4,7,9,10,13,14],[1,4,8,10,12,13,14],[1,5,6,7,8,10,12],[1,6,7,8,9,11,12],[2,3,7,8,11,13,14],[2,3,7,9,10,12,14],[2,4,5,7,9,12,13],[2,4,6,7,8,12,14],[2,4,6,7,10,11,13],[2,5,6,8,9,13,14],[2,5,8,10,11,12,13],[3,4,5,8,11,12,14],[3,4,6,8,9,10,14],[3,4,6,9,11,12,13],[3,5,6,7,10,11,14],[3,5,6,9,10,12,13],[4,5,7,8,9,10,11]]; G[5648]:=Group([(2,14)(3,13)(5,10)(6,12)(7,8)]); # Design 5649: autom. group order 2, simple, residual B[5649]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,11,14],[1,2,6,9,11,12,14],[1,3,5,7,12,13,14],[1,3,7,8,9,11,13],[1,4,5,6,11,13,14],[1,4,7,9,10,13,14],[1,4,8,10,12,13,14],[1,5,6,7,8,10,12],[1,6,7,8,9,11,12],[2,3,7,8,11,13,14],[2,3,7,9,10,12,14],[2,4,5,7,11,12,13],[2,4,6,7,8,12,14],[2,4,6,7,9,10,13],[2,5,6,8,9,13,14],[2,5,8,10,11,12,13],[3,4,5,8,9,12,14],[3,4,6,8,10,11,14],[3,4,6,9,11,12,13],[3,5,6,7,10,11,14],[3,5,6,9,10,12,13],[4,5,7,8,9,10,11]]; G[5649]:=Group([(2,14)(3,13)(5,10)(6,12)(7,8)]); # Design 5650: autom. group order 2, simple B[5650]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,10,11,12,13],[1,2,6,8,10,11,14],[1,3,5,9,10,12,14],[1,3,7,8,9,11,14],[1,4,5,8,11,13,14],[1,4,6,7,9,11,12],[1,4,6,9,12,13,14],[1,5,6,7,8,10,13],[1,7,8,9,10,12,13],[2,3,6,8,9,12,13],[2,3,7,8,11,12,13],[2,4,5,7,9,10,13],[2,4,6,8,10,12,14],[2,4,7,8,9,10,14],[2,5,6,9,11,13,14],[2,5,7,9,11,12,14],[3,4,5,8,12,13,14],[3,4,6,9,10,11,13],[3,4,7,10,11,13,14],[3,5,6,7,10,12,14],[3,5,6,8,9,10,11],[4,5,6,7,8,11,12]]; G[5650]:=Group([(1,11)(2,10)(5,13)(7,9)(8,14)]); # Design 5651: autom. group order 2, simple, residual B[5651]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,12,13],[1,2,6,9,11,13,14],[1,3,5,8,11,13,14],[1,3,7,9,10,11,14],[1,4,5,9,10,12,14],[1,4,6,7,8,12,14],[1,4,6,8,9,10,13],[1,5,6,7,11,12,14],[1,7,8,9,10,12,13],[2,3,6,8,10,12,14],[2,3,7,8,9,12,14],[2,4,5,10,12,13,14],[2,4,6,8,9,11,14],[2,4,7,10,11,13,14],[2,5,6,7,9,12,13],[2,5,7,8,9,10,11],[3,4,5,7,9,13,14],[3,4,6,9,11,12,13],[3,4,7,8,11,12,13],[3,5,6,8,10,13,14],[3,5,6,9,10,11,12],[4,5,6,7,8,10,11]]; G[5651]:=Group([(1,11)(2,12)(5,13)(7,9)]); # Design 5652: autom. group order 2, simple B[5652]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,7,9,10,12],[1,3,5,9,10,13,14],[1,3,7,11,12,13,14],[1,4,5,8,9,11,14],[1,4,6,7,9,12,14],[1,4,6,8,11,12,13],[1,5,6,8,10,12,13],[1,7,8,9,10,11,14],[2,3,6,7,8,11,14],[2,3,8,9,10,11,12],[2,4,5,11,12,13,14],[2,4,6,9,10,13,14],[2,4,7,8,10,13,14],[2,5,6,9,11,12,14],[2,5,7,8,9,12,13],[3,4,5,7,10,12,14],[3,4,6,9,10,11,13],[3,4,7,8,9,12,13],[3,5,6,7,9,11,13],[3,5,6,8,10,12,14],[4,5,6,7,8,10,11]]; G[5652]:=Group([(1,13)(3,14)(5,10)(6,8)]); # Design 5653: autom. group order 2, simple, residual B[5653]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,13],[1,2,6,9,11,12,14],[1,3,5,9,11,12,13],[1,3,7,8,9,11,14],[1,4,5,7,11,13,14],[1,4,6,7,12,13,14],[1,4,6,8,9,10,14],[1,5,6,8,10,11,12],[1,7,8,9,10,12,13],[2,3,6,7,8,12,13],[2,3,7,9,10,12,14],[2,4,5,9,12,13,14],[2,4,6,7,8,9,11],[2,4,8,10,11,13,14],[2,5,6,9,10,11,13],[2,5,7,8,11,12,14],[3,4,5,8,10,12,14],[3,4,6,8,11,12,13],[3,4,7,9,10,11,13],[3,5,6,7,10,11,14],[3,5,6,8,9,13,14],[4,5,6,7,9,10,12]]; G[5653]:=Group([(1,13)(2,6)(4,8)(5,12)(9,11)(10,14)]); # Design 5654: autom. group order 2, simple, residual B[5654]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,10,12,14],[1,3,5,7,10,11,14],[1,3,7,9,11,12,13],[1,4,5,9,12,13,14],[1,4,6,7,8,10,13],[1,4,6,8,9,11,14],[1,5,6,8,11,12,13],[1,7,8,9,10,12,14],[2,3,6,9,11,12,14],[2,3,7,8,9,10,13],[2,4,5,7,12,13,14],[2,4,6,9,10,12,13],[2,4,7,8,9,11,14],[2,5,6,7,8,11,12],[2,5,8,10,11,13,14],[3,4,5,8,10,12,14],[3,4,6,10,11,13,14],[3,4,7,8,11,12,13],[3,5,6,7,9,13,14],[3,5,6,8,9,10,12],[4,5,6,7,9,10,11]]; G[5654]:=Group([(2,7)(3,10)(4,14)(5,12)]); # Design 5655: autom. group order 2, simple, residual B[5655]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,10,12,14],[1,3,5,7,10,11,14],[1,3,7,9,11,12,13],[1,4,5,9,12,13,14],[1,4,6,7,8,10,13],[1,4,6,8,9,11,14],[1,5,6,8,11,12,13],[1,7,8,9,10,12,14],[2,3,6,9,12,13,14],[2,3,7,8,9,10,13],[2,4,5,7,12,13,14],[2,4,6,9,10,11,12],[2,4,7,8,9,11,14],[2,5,6,7,8,11,12],[2,5,8,10,11,13,14],[3,4,5,8,10,12,14],[3,4,6,10,11,13,14],[3,4,7,8,11,12,13],[3,5,6,7,9,11,14],[3,5,6,8,9,10,12],[4,5,6,7,9,10,13]]; G[5655]:=Group([(2,7)(3,10)(4,14)(5,12)]); # Design 5656: autom. group order 2, simple, residual B[5656]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,10,12,14],[1,3,5,7,10,11,14],[1,3,7,9,11,12,13],[1,4,5,8,9,12,14],[1,4,6,7,8,10,13],[1,4,6,9,11,13,14],[1,5,6,8,11,12,13],[1,7,8,9,10,12,14],[2,3,6,9,11,12,14],[2,3,7,8,9,10,13],[2,4,5,7,12,13,14],[2,4,6,8,10,11,12],[2,4,7,8,9,11,14],[2,5,6,7,9,12,13],[2,5,8,10,11,13,14],[3,4,5,10,12,13,14],[3,4,6,9,10,13,14],[3,4,7,8,11,12,13],[3,5,6,7,8,11,14],[3,5,6,8,9,10,12],[4,5,6,7,9,10,11]]; G[5656]:=Group([(2,7)(3,10)(4,14)(5,12)]); # Design 5657: autom. group order 2, simple, residual B[5657]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,10,12,14],[1,3,5,7,10,11,14],[1,3,7,9,11,12,13],[1,4,5,8,12,13,14],[1,4,6,7,8,10,13],[1,4,6,9,11,13,14],[1,5,6,8,9,11,12],[1,7,8,9,10,12,14],[2,3,6,9,12,13,14],[2,3,7,8,9,10,13],[2,4,5,7,9,12,14],[2,4,6,8,10,11,12],[2,4,7,8,9,11,14],[2,5,6,7,11,12,13],[2,5,8,10,11,13,14],[3,4,5,10,12,13,14],[3,4,6,9,10,11,14],[3,4,7,8,11,12,13],[3,5,6,7,8,11,14],[3,5,6,8,9,10,12],[4,5,6,7,9,10,13]]; G[5657]:=Group([(2,7)(3,10)(4,14)(5,12)]); # Design 5658: autom. group order 2, simple, residual B[5658]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,10,12,14],[1,3,5,7,10,11,14],[1,3,7,9,11,12,13],[1,4,5,8,9,12,14],[1,4,6,7,8,10,13],[1,4,6,9,11,13,14],[1,5,6,8,11,12,13],[1,7,8,9,10,12,14],[2,3,6,8,11,12,14],[2,3,7,8,9,10,13],[2,4,5,7,12,13,14],[2,4,6,9,10,11,12],[2,4,7,8,9,11,14],[2,5,6,7,9,12,13],[2,5,8,10,11,13,14],[3,4,5,10,12,13,14],[3,4,6,9,10,13,14],[3,4,7,8,11,12,13],[3,5,6,7,9,11,14],[3,5,6,8,9,10,12],[4,5,6,7,8,10,11]]; G[5658]:=Group([(2,7)(3,10)(4,14)(5,12)]); # Design 5659: autom. group order 2, simple, residual B[5659]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,10,12,14],[1,3,5,7,10,11,14],[1,3,7,9,11,12,13],[1,4,5,8,12,13,14],[1,4,6,7,8,10,13],[1,4,6,9,11,13,14],[1,5,6,8,9,11,12],[1,7,8,9,10,12,14],[2,3,6,8,11,12,14],[2,3,7,8,9,10,13],[2,4,5,7,9,12,14],[2,4,6,9,10,12,13],[2,4,7,8,9,11,14],[2,5,6,7,11,12,13],[2,5,8,10,11,13,14],[3,4,5,10,12,13,14],[3,4,6,9,10,11,14],[3,4,7,8,11,12,13],[3,5,6,7,9,13,14],[3,5,6,8,9,10,12],[4,5,6,7,8,10,11]]; G[5659]:=Group([(2,7)(3,10)(4,14)(5,12)]); # Design 5660: autom. group order 2, simple, residual B[5660]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,10,12,14],[1,3,5,7,10,11,14],[1,3,7,9,11,12,13],[1,4,5,8,9,12,14],[1,4,6,7,8,10,13],[1,4,6,9,11,13,14],[1,5,6,8,11,12,13],[1,7,8,9,10,12,14],[2,3,6,9,11,12,14],[2,3,7,8,9,10,13],[2,4,5,7,12,13,14],[2,4,6,9,10,12,13],[2,4,7,8,9,11,14],[2,5,6,8,10,11,14],[2,5,7,8,11,12,13],[3,4,5,10,12,13,14],[3,4,6,7,8,11,12],[3,4,8,10,11,13,14],[3,5,6,7,9,13,14],[3,5,6,8,9,10,12],[4,5,6,7,9,10,11]]; G[5660]:=Group([(2,7)(3,10)(4,14)(5,12)]); # Design 5661: autom. group order 2, simple, residual B[5661]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,10,12,14],[1,3,5,7,10,11,14],[1,3,7,9,11,12,13],[1,4,5,8,9,12,14],[1,4,6,7,8,10,13],[1,4,6,9,11,13,14],[1,5,6,8,11,12,13],[1,7,8,9,10,12,14],[2,3,6,9,12,13,14],[2,3,7,8,9,10,13],[2,4,5,7,12,13,14],[2,4,6,9,10,11,12],[2,4,7,8,9,11,14],[2,5,6,8,10,11,14],[2,5,7,8,11,12,13],[3,4,5,10,12,13,14],[3,4,6,7,8,11,12],[3,4,8,10,11,13,14],[3,5,6,7,9,11,14],[3,5,6,8,9,10,12],[4,5,6,7,9,10,13]]; G[5661]:=Group([(2,7)(3,10)(4,14)(5,12)]); # Design 5662: autom. group order 2, simple, residual B[5662]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,10,12,14],[1,3,5,7,10,11,14],[1,3,7,9,11,12,13],[1,4,5,8,9,12,14],[1,4,6,7,8,10,13],[1,4,6,9,11,13,14],[1,5,6,8,11,12,13],[1,7,8,9,10,12,14],[2,3,6,9,11,12,14],[2,3,7,8,9,10,13],[2,4,5,7,12,13,14],[2,4,6,8,10,11,12],[2,4,7,8,9,11,14],[2,5,6,9,10,13,14],[2,5,7,8,11,12,13],[3,4,5,10,12,13,14],[3,4,6,7,9,12,13],[3,4,8,10,11,13,14],[3,5,6,7,8,11,14],[3,5,6,8,9,10,12],[4,5,6,7,9,10,11]]; G[5662]:=Group([(2,7)(3,10)(4,14)(5,12)]); # Design 5663: autom. group order 2, simple, residual B[5663]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,10,12,14],[1,3,5,7,10,11,14],[1,3,7,9,11,12,13],[1,4,5,8,9,12,14],[1,4,6,7,8,10,13],[1,4,6,9,11,13,14],[1,5,6,8,11,12,13],[1,7,8,9,10,12,14],[2,3,6,9,12,13,14],[2,3,7,8,9,10,13],[2,4,5,7,12,13,14],[2,4,6,8,10,11,12],[2,4,7,8,9,11,14],[2,5,6,9,10,11,14],[2,5,7,8,11,12,13],[3,4,5,10,12,13,14],[3,4,6,7,9,11,12],[3,4,8,10,11,13,14],[3,5,6,7,8,11,14],[3,5,6,8,9,10,12],[4,5,6,7,9,10,13]]; G[5663]:=Group([(2,7)(3,10)(4,14)(5,12)]); # Design 5664: autom. group order 2, simple, residual B[5664]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,10,12,14],[1,3,5,7,10,11,14],[1,3,7,9,11,12,13],[1,4,5,8,9,12,14],[1,4,6,7,8,10,13],[1,4,6,9,11,13,14],[1,5,6,8,11,12,13],[1,7,8,9,10,12,14],[2,3,6,8,11,12,14],[2,3,7,8,9,10,13],[2,4,5,7,12,13,14],[2,4,6,9,10,11,12],[2,4,7,8,9,11,14],[2,5,6,9,10,13,14],[2,5,7,8,11,12,13],[3,4,5,10,12,13,14],[3,4,6,7,9,12,13],[3,4,8,10,11,13,14],[3,5,6,7,9,11,14],[3,5,6,8,9,10,12],[4,5,6,7,8,10,11]]; G[5664]:=Group([(2,7)(3,10)(4,14)(5,12)]); # Design 5665: autom. group order 2, simple, residual B[5665]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,10,12,14],[1,3,5,7,10,11,14],[1,3,7,9,11,12,13],[1,4,5,8,9,12,14],[1,4,6,7,8,10,13],[1,4,6,9,11,13,14],[1,5,6,8,11,12,13],[1,7,8,9,10,12,14],[2,3,6,8,11,12,14],[2,3,7,8,9,10,13],[2,4,5,7,12,13,14],[2,4,6,9,10,12,13],[2,4,7,8,9,11,14],[2,5,6,9,10,11,14],[2,5,7,8,11,12,13],[3,4,5,10,12,13,14],[3,4,6,7,9,11,12],[3,4,8,10,11,13,14],[3,5,6,7,9,13,14],[3,5,6,8,9,10,12],[4,5,6,7,8,10,11]]; G[5665]:=Group([(2,7)(3,10)(4,14)(5,12)]); # Design 5666: autom. group order 2, simple, residual B[5666]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,9,11,13],[1,3,5,7,8,11,14],[1,3,7,9,10,12,14],[1,4,5,10,11,13,14],[1,4,6,7,8,10,12],[1,4,6,8,9,12,14],[1,5,6,9,12,13,14],[1,7,8,9,10,11,13],[2,3,6,8,10,13,14],[2,3,7,8,9,12,13],[2,4,5,9,10,12,13],[2,4,6,8,9,11,14],[2,4,7,9,10,11,14],[2,5,6,7,11,12,14],[2,5,7,8,10,12,14],[3,4,5,7,9,13,14],[3,4,6,7,11,12,13],[3,4,8,11,12,13,14],[3,5,6,8,9,10,11],[3,5,6,9,10,11,12],[4,5,6,7,8,10,13]]; G[5666]:=Group([(1,12)(2,11)(5,13)(9,14)]); # Design 5667: autom. group order 2, simple, residual B[5667]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,11,13,14],[1,3,5,7,8,11,14],[1,3,7,9,10,12,14],[1,4,5,9,10,11,13],[1,4,6,7,8,10,12],[1,4,6,8,9,12,14],[1,5,6,9,12,13,14],[1,7,8,9,10,11,13],[2,3,6,8,9,10,13],[2,3,7,8,9,12,13],[2,4,5,10,12,13,14],[2,4,6,8,9,11,14],[2,4,7,9,10,11,14],[2,5,6,7,9,11,12],[2,5,7,8,10,12,14],[3,4,5,7,9,13,14],[3,4,6,7,11,12,13],[3,4,8,11,12,13,14],[3,5,6,8,10,11,14],[3,5,6,9,10,11,12],[4,5,6,7,8,10,13]]; G[5667]:=Group([(1,12)(2,11)(5,13)(9,14)]); # Design 5668: autom. group order 2, simple, residual B[5668]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,12,13],[1,2,6,7,11,12,14],[1,3,5,7,9,11,14],[1,3,7,8,10,12,14],[1,4,5,10,12,13,14],[1,4,6,7,9,10,13],[1,4,6,8,9,11,14],[1,5,6,8,12,13,14],[1,7,8,9,10,11,13],[2,3,6,9,10,13,14],[2,3,7,9,12,13,14],[2,4,5,10,11,13,14],[2,4,6,8,9,12,14],[2,4,7,8,10,11,14],[2,5,6,7,8,11,13],[2,5,7,8,9,10,12],[3,4,5,7,8,13,14],[3,4,6,7,11,12,13],[3,4,8,9,11,12,13],[3,5,6,8,10,11,12],[3,5,6,9,10,11,14],[4,5,6,7,9,10,12]]; G[5668]:=Group([(1,12)(2,11)(5,13)]); # Design 5669: autom. group order 2, simple B[5669]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,9,10,12],[1,3,5,7,10,13,14],[1,3,9,11,12,13,14],[1,4,5,7,8,11,14],[1,4,6,7,9,12,14],[1,4,6,8,11,12,13],[1,5,6,8,10,12,13],[1,7,8,9,10,11,14],[2,3,6,8,9,11,14],[2,3,7,8,10,11,12],[2,4,5,11,12,13,14],[2,4,6,9,10,13,14],[2,4,7,8,10,13,14],[2,5,6,7,11,12,14],[2,5,7,8,9,12,13],[3,4,5,9,10,12,14],[3,4,6,7,10,11,13],[3,4,7,8,9,12,13],[3,5,6,7,9,11,13],[3,5,6,8,10,12,14],[4,5,6,8,9,10,11]]; G[5669]:=Group([(1,13)(3,14)(5,10)(6,8)]); # Design 5670: autom. group order 2, simple, residual B[5670]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,12,13],[1,2,6,7,11,13,14],[1,3,5,9,11,13,14],[1,3,7,8,10,11,14],[1,4,5,7,10,12,14],[1,4,6,7,9,10,13],[1,4,6,8,9,12,14],[1,5,6,8,11,12,14],[1,7,8,9,10,12,13],[2,3,6,9,10,12,14],[2,3,7,8,9,12,14],[2,4,5,10,12,13,14],[2,4,6,7,9,11,14],[2,4,8,10,11,13,14],[2,5,6,7,8,12,13],[2,5,7,8,9,10,11],[3,4,5,7,8,13,14],[3,4,6,8,11,12,13],[3,4,7,9,11,12,13],[3,5,6,7,10,11,12],[3,5,6,9,10,13,14],[4,5,6,8,9,10,11]]; G[5670]:=Group([(1,11)(2,12)(5,13)(7,8)]); # Design 5671: autom. group order 2, simple, residual B[5671]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,9,10,12],[1,3,5,10,12,13,14],[1,3,7,9,12,13,14],[1,4,5,7,8,11,14],[1,4,6,7,8,12,13],[1,4,6,9,11,12,14],[1,5,6,8,10,11,13],[1,7,8,9,10,11,14],[2,3,6,8,9,11,14],[2,3,7,8,10,11,12],[2,4,5,11,12,13,14],[2,4,6,9,10,13,14],[2,4,7,8,10,13,14],[2,5,6,7,11,12,14],[2,5,7,8,9,12,13],[3,4,5,7,9,10,14],[3,4,6,7,10,11,13],[3,4,8,9,11,12,13],[3,5,6,7,9,11,13],[3,5,6,8,10,12,14],[4,5,6,8,9,10,12]]; G[5671]:=Group([(1,13)(3,14)(5,10)(6,8)]); # Design 5672: autom. group order 2, simple, residual B[5672]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,8,11,13],[1,3,7,9,10,12,13],[1,4,5,7,10,12,14],[1,4,6,7,8,9,14],[1,4,6,8,10,11,12],[1,5,6,9,11,12,13],[1,7,8,9,10,11,14],[2,3,6,8,9,10,11],[2,3,7,8,9,12,14],[2,4,5,9,11,12,14],[2,4,6,7,8,12,13],[2,4,7,9,10,11,13],[2,5,6,7,10,11,14],[2,5,7,8,10,12,13],[3,4,5,9,10,13,14],[3,4,6,7,11,13,14],[3,4,8,11,12,13,14],[3,5,6,7,9,11,12],[3,5,6,8,10,12,14],[4,5,6,8,9,10,13]]; G[5672]:=Group([(1,13)(2,14)(5,11)(9,12)]); # Design 5673: autom. group order 2, simple B[5673]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,8,12,13],[1,3,7,9,10,12,14],[1,4,5,7,10,11,14],[1,4,6,7,8,9,13],[1,4,6,8,10,11,12],[1,5,6,9,11,12,14],[1,7,8,9,10,11,13],[2,3,6,8,9,10,11],[2,3,7,8,9,11,14],[2,4,5,9,11,12,13],[2,4,6,7,8,12,14],[2,4,7,9,10,12,13],[2,5,6,7,10,11,13],[2,5,7,8,10,12,14],[3,4,5,9,10,13,14],[3,4,6,7,11,13,14],[3,4,8,11,12,13,14],[3,5,6,7,9,11,12],[3,5,6,8,10,12,13],[4,5,6,8,9,10,14]]; G[5673]:=Group([(1,14)(2,13)(5,11)(9,12)]); # Design 5674: autom. group order 2, simple, residual B[5674]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,8,11,13],[1,3,7,9,10,12,13],[1,4,5,7,10,12,14],[1,4,6,7,8,12,14],[1,4,6,8,9,10,11],[1,5,6,9,11,12,13],[1,7,8,9,10,11,14],[2,3,6,8,10,11,12],[2,3,7,8,9,12,14],[2,4,5,9,11,12,14],[2,4,6,7,8,9,13],[2,4,7,9,10,11,13],[2,5,6,7,10,11,14],[2,5,7,8,10,12,13],[3,4,5,9,10,13,14],[3,4,6,7,11,13,14],[3,4,8,11,12,13,14],[3,5,6,7,9,11,12],[3,5,6,8,9,10,14],[4,5,6,8,10,12,13]]; G[5674]:=Group([(1,13)(2,14)(5,11)(9,12)]); # Design 5675: autom. group order 2, simple B[5675]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,8,12,13],[1,3,7,9,10,12,14],[1,4,5,7,10,11,14],[1,4,6,7,8,12,13],[1,4,6,8,9,10,11],[1,5,6,9,11,12,14],[1,7,8,9,10,11,13],[2,3,6,8,10,11,12],[2,3,7,8,9,11,14],[2,4,5,9,11,12,13],[2,4,6,7,8,9,14],[2,4,7,9,10,12,13],[2,5,6,7,10,11,13],[2,5,7,8,10,12,14],[3,4,5,9,10,13,14],[3,4,6,7,11,13,14],[3,4,8,11,12,13,14],[3,5,6,7,9,11,12],[3,5,6,8,9,10,13],[4,5,6,8,10,12,14]]; G[5675]:=Group([(1,14)(2,13)(5,11)(9,12)]); # Design 5676: autom. group order 2, simple B[5676]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,12,13],[1,2,6,9,10,11,14],[1,3,5,7,10,12,14],[1,3,7,8,9,11,14],[1,4,5,9,11,13,14],[1,4,6,7,8,11,12],[1,4,6,7,9,12,13],[1,5,6,8,10,13,14],[1,7,8,9,10,12,13],[2,3,6,7,12,13,14],[2,3,8,9,11,12,13],[2,4,5,7,8,10,13],[2,4,6,9,10,12,14],[2,4,7,8,9,10,14],[2,5,6,7,9,11,13],[2,5,7,8,11,12,14],[3,4,5,9,12,13,14],[3,4,6,8,10,11,13],[3,4,7,10,11,13,14],[3,5,6,7,9,10,11],[3,5,6,8,9,10,12],[4,5,6,8,11,12,14]]; G[5676]:=Group([(1,11)(2,10)(5,13)(7,8)(9,14)]); # Design 5677: autom. group order 2, simple, residual B[5677]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,11,12,14],[1,3,7,9,10,12,14],[1,4,5,8,11,13,14],[1,4,6,7,9,10,11],[1,4,6,8,9,12,14],[1,5,6,7,8,12,13],[1,7,8,9,10,11,13],[2,3,6,7,8,11,14],[2,3,8,9,11,12,13],[2,4,5,7,9,12,13],[2,4,6,7,10,13,14],[2,4,7,8,9,11,14],[2,5,6,9,10,11,12],[2,5,7,8,10,12,14],[3,4,5,9,10,13,14],[3,4,6,11,12,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,11,13],[3,5,6,8,9,10,14],[4,5,6,8,10,11,12]]; G[5677]:=Group([(1,14)(3,7)(4,8)(5,11)]); # Design 5678: autom. group order 2, simple, residual B[5678]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,11,12,13,14],[1,2,6,9,10,11,14],[1,3,5,7,12,13,14],[1,3,7,9,10,11,14],[1,4,5,8,10,12,14],[1,4,6,7,9,11,12],[1,4,6,8,9,13,14],[1,5,6,7,8,11,13],[1,7,8,9,10,12,13],[2,3,6,7,8,12,14],[2,3,8,9,11,12,13],[2,4,5,7,9,11,13],[2,4,6,7,10,13,14],[2,4,7,8,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,9,10,13,14],[3,4,6,11,12,13,14],[3,4,7,8,10,11,13],[3,5,6,7,9,10,12],[3,5,6,8,9,11,14],[4,5,6,8,10,11,12]]; G[5678]:=Group([(1,14)(3,7)(4,8)(5,12)]); # Design 5679: autom. group order 2, simple, residual B[5679]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,12,14],[1,2,6,9,11,13,14],[1,3,5,7,12,13,14],[1,3,7,9,10,11,14],[1,4,5,8,12,13,14],[1,4,6,7,9,10,12],[1,4,6,8,11,13,14],[1,5,6,7,8,9,11],[1,7,8,9,10,12,13],[2,3,6,7,8,12,14],[2,3,8,9,11,12,13],[2,4,5,7,9,11,13],[2,4,6,7,10,13,14],[2,4,7,8,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,9,10,13,14],[3,4,6,9,11,12,14],[3,4,7,8,10,11,13],[3,5,6,7,11,12,13],[3,5,6,8,9,10,14],[4,5,6,8,10,11,12]]; G[5679]:=Group([(1,14)(3,7)(4,8)(5,12)]); # Design 5680: autom. group order 2, simple, residual B[5680]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,12,14],[1,2,6,9,11,13,14],[1,3,5,7,12,13,14],[1,3,7,9,10,11,14],[1,4,5,8,12,13,14],[1,4,6,7,9,11,12],[1,4,6,8,11,13,14],[1,5,6,7,8,9,10],[1,7,8,9,10,12,13],[2,3,6,7,8,12,14],[2,3,8,9,11,12,13],[2,4,5,7,9,11,13],[2,4,6,7,10,13,14],[2,4,7,8,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,9,10,13,14],[3,4,6,9,10,12,14],[3,4,7,8,10,11,13],[3,5,6,7,11,12,13],[3,5,6,8,9,11,14],[4,5,6,8,10,11,12]]; G[5680]:=Group([(1,14)(3,7)(4,8)(5,12)]); # Design 5681: autom. group order 2, simple, residual B[5681]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,11,12,14],[1,3,7,9,10,12,14],[1,4,5,8,11,13,14],[1,4,6,7,11,12,13],[1,4,6,8,9,12,14],[1,5,6,7,8,9,10],[1,7,8,9,10,11,13],[2,3,6,7,8,11,14],[2,3,8,9,11,12,13],[2,4,5,7,9,12,13],[2,4,6,7,10,13,14],[2,4,7,8,9,11,14],[2,5,6,9,10,11,12],[2,5,7,8,10,12,14],[3,4,5,9,10,13,14],[3,4,6,9,10,11,14],[3,4,7,8,10,12,13],[3,5,6,7,9,11,13],[3,5,6,8,12,13,14],[4,5,6,8,10,11,12]]; G[5681]:=Group([(1,14)(3,7)(4,8)(5,11)]); # Design 5682: autom. group order 2, simple, residual B[5682]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,11,12,13,14],[1,2,6,9,10,11,14],[1,3,5,7,12,13,14],[1,3,7,9,10,11,14],[1,4,5,8,10,12,14],[1,4,6,7,11,12,13],[1,4,6,8,9,13,14],[1,5,6,7,8,9,11],[1,7,8,9,10,12,13],[2,3,6,7,8,12,14],[2,3,8,9,11,12,13],[2,4,5,7,9,11,13],[2,4,6,7,10,13,14],[2,4,7,8,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,9,10,13,14],[3,4,6,9,11,12,14],[3,4,7,8,10,11,13],[3,5,6,7,9,10,12],[3,5,6,8,11,13,14],[4,5,6,8,10,11,12]]; G[5682]:=Group([(1,14)(3,7)(4,8)(5,12)]); # Design 5683: autom. group order 2, simple, residual B[5683]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,8,12,13],[1,3,7,9,10,12,14],[1,4,5,9,11,12,14],[1,4,6,7,8,9,13],[1,4,6,8,10,11,12],[1,5,6,7,10,11,14],[1,7,8,9,10,11,13],[2,3,6,8,9,10,11],[2,3,7,8,9,11,14],[2,4,5,7,10,11,13],[2,4,6,7,8,12,14],[2,4,7,9,10,12,13],[2,5,6,9,11,12,13],[2,5,7,8,10,12,14],[3,4,5,9,10,13,14],[3,4,6,7,11,13,14],[3,4,8,11,12,13,14],[3,5,6,7,9,11,12],[3,5,6,8,10,12,13],[4,5,6,8,9,10,14]]; G[5683]:=Group([(1,14)(2,13)(5,11)(9,12)]); # Design 5684: autom. group order 2, simple, residual B[5684]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,8,12,13],[1,3,7,9,10,12,14],[1,4,5,9,11,12,14],[1,4,6,7,8,12,13],[1,4,6,8,9,10,11],[1,5,6,7,10,11,14],[1,7,8,9,10,11,13],[2,3,6,8,10,11,12],[2,3,7,8,9,11,14],[2,4,5,7,10,11,13],[2,4,6,7,8,9,14],[2,4,7,9,10,12,13],[2,5,6,9,11,12,13],[2,5,7,8,10,12,14],[3,4,5,9,10,13,14],[3,4,6,7,11,13,14],[3,4,8,11,12,13,14],[3,5,6,7,9,11,12],[3,5,6,8,9,10,13],[4,5,6,8,10,12,14]]; G[5684]:=Group([(1,14)(2,13)(5,11)(9,12)]); # Design 5685: autom. group order 2, simple, residual B[5685]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,10,12,13],[1,3,7,8,9,12,14],[1,4,5,9,11,12,14],[1,4,6,7,9,10,13],[1,4,6,8,10,11,12],[1,5,6,7,8,11,14],[1,7,8,9,10,11,13],[2,3,6,8,9,10,11],[2,3,7,9,10,11,14],[2,4,5,7,8,11,13],[2,4,6,7,10,12,14],[2,4,7,8,9,12,13],[2,5,6,9,11,12,13],[2,5,7,8,10,12,14],[3,4,5,9,10,13,14],[3,4,6,7,11,13,14],[3,4,8,11,12,13,14],[3,5,6,7,9,11,12],[3,5,6,8,10,12,13],[4,5,6,8,9,10,14]]; G[5685]:=Group([(1,14)(2,13)(5,11)(9,12)]); # Design 5686: autom. group order 2, simple, residual B[5686]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,10,12,13],[1,3,7,8,9,12,14],[1,4,5,9,11,12,14],[1,4,6,7,10,12,13],[1,4,6,8,9,10,11],[1,5,6,7,8,11,14],[1,7,8,9,10,11,13],[2,3,6,8,10,11,12],[2,3,7,9,10,11,14],[2,4,5,7,8,11,13],[2,4,6,7,9,10,14],[2,4,7,8,9,12,13],[2,5,6,9,11,12,13],[2,5,7,8,10,12,14],[3,4,5,9,10,13,14],[3,4,6,7,11,13,14],[3,4,8,11,12,13,14],[3,5,6,7,9,11,12],[3,5,6,8,9,10,13],[4,5,6,8,10,12,14]]; G[5686]:=Group([(1,14)(2,13)(5,11)(9,12)]); # Design 5687: autom. group order 2, simple, residual B[5687]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,11,13,14],[1,3,8,10,11,12,14],[1,4,5,7,10,12,14],[1,4,6,7,9,10,11],[1,4,6,8,9,12,14],[1,5,6,7,8,12,13],[1,7,8,9,10,11,13],[2,3,6,7,8,11,14],[2,3,7,9,10,12,13],[2,4,5,8,11,12,13],[2,4,6,7,10,13,14],[2,4,7,8,9,11,14],[2,5,6,9,10,11,12],[2,5,7,8,10,12,14],[3,4,5,9,10,13,14],[3,4,6,11,12,13,14],[3,4,7,8,9,12,13],[3,5,6,7,9,11,12],[3,5,6,8,9,10,14],[4,5,6,8,10,11,13]]; G[5687]:=Group([(1,14)(3,7)(4,8)(5,11)]); # Design 5688: autom. group order 2, simple, residual B[5688]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,11,13,14],[1,3,8,10,11,12,14],[1,4,5,7,10,12,14],[1,4,6,7,9,11,12],[1,4,6,8,9,10,14],[1,5,6,7,8,12,13],[1,7,8,9,10,11,13],[2,3,6,7,8,11,14],[2,3,7,9,10,12,13],[2,4,5,8,11,12,13],[2,4,6,7,10,13,14],[2,4,7,8,9,11,14],[2,5,6,9,10,11,12],[2,5,7,8,10,12,14],[3,4,5,9,10,13,14],[3,4,6,11,12,13,14],[3,4,7,8,9,12,13],[3,5,6,7,9,10,11],[3,5,6,8,9,12,14],[4,5,6,8,10,11,13]]; G[5688]:=Group([(1,14)(3,7)(4,8)(5,11)]); # Design 5689: autom. group order 2, simple, residual B[5689]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,11,13,14],[1,3,8,10,11,12,14],[1,4,5,7,10,12,14],[1,4,6,7,11,12,13],[1,4,6,8,9,10,14],[1,5,6,7,8,9,12],[1,7,8,9,10,11,13],[2,3,6,7,8,11,14],[2,3,7,9,10,12,13],[2,4,5,8,11,12,13],[2,4,6,7,10,13,14],[2,4,7,8,9,11,14],[2,5,6,9,10,11,12],[2,5,7,8,10,12,14],[3,4,5,9,10,13,14],[3,4,6,9,11,12,14],[3,4,7,8,9,12,13],[3,5,6,7,9,10,11],[3,5,6,8,12,13,14],[4,5,6,8,10,11,13]]; G[5689]:=Group([(1,14)(3,7)(4,8)(5,11)]); # Design 5690: autom. group order 2, simple, residual B[5690]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,11,13,14],[1,3,8,10,11,12,14],[1,4,5,7,10,12,14],[1,4,6,7,11,12,13],[1,4,6,8,9,12,14],[1,5,6,7,8,9,10],[1,7,8,9,10,11,13],[2,3,6,7,8,11,14],[2,3,7,9,10,12,13],[2,4,5,8,11,12,13],[2,4,6,7,10,13,14],[2,4,7,8,9,11,14],[2,5,6,9,10,11,12],[2,5,7,8,10,12,14],[3,4,5,9,10,13,14],[3,4,6,9,10,11,14],[3,4,7,8,9,12,13],[3,5,6,7,9,11,12],[3,5,6,8,12,13,14],[4,5,6,8,10,11,13]]; G[5690]:=Group([(1,14)(3,7)(4,8)(5,11)]); # Design 5691: autom. group order 2, simple, residual B[5691]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,10,12,14],[1,3,5,7,10,11,14],[1,3,7,9,11,12,13],[1,4,5,9,12,13,14],[1,4,6,7,8,10,13],[1,4,6,8,9,11,14],[1,5,6,8,11,12,13],[1,7,8,9,10,12,14],[2,3,6,9,11,12,14],[2,3,7,8,9,10,13],[2,4,5,7,12,13,14],[2,4,7,8,9,11,14],[2,4,8,10,11,12,13],[2,5,6,7,8,11,12],[2,5,6,9,10,13,14],[3,4,5,8,10,12,14],[3,4,6,7,9,12,13],[3,4,6,10,11,13,14],[3,5,6,8,9,10,12],[3,5,7,8,11,13,14],[4,5,6,7,9,10,11]]; G[5691]:=Group([(2,7)(3,10)(4,14)(5,12)]); # Design 5692: autom. group order 2, simple, residual B[5692]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,10,12,14],[1,3,5,7,10,11,14],[1,3,7,9,11,12,13],[1,4,5,9,12,13,14],[1,4,6,7,8,10,13],[1,4,6,8,9,11,14],[1,5,6,8,11,12,13],[1,7,8,9,10,12,14],[2,3,6,9,12,13,14],[2,3,7,8,9,10,13],[2,4,5,7,12,13,14],[2,4,7,8,9,11,14],[2,4,8,10,11,12,13],[2,5,6,7,8,11,12],[2,5,6,9,10,11,14],[3,4,5,8,10,12,14],[3,4,6,7,9,11,12],[3,4,6,10,11,13,14],[3,5,6,8,9,10,12],[3,5,7,8,11,13,14],[4,5,6,7,9,10,13]]; G[5692]:=Group([(2,7)(3,10)(4,14)(5,12)]); # Design 5693: autom. group order 2, simple, residual B[5693]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,10,12,14],[1,3,5,7,10,11,14],[1,3,7,9,11,12,13],[1,4,5,8,9,12,14],[1,4,6,7,8,10,13],[1,4,6,9,11,13,14],[1,5,6,8,11,12,13],[1,7,8,9,10,12,14],[2,3,6,9,11,12,14],[2,3,7,8,9,10,13],[2,4,5,7,12,13,14],[2,4,7,8,9,11,14],[2,4,8,10,11,12,13],[2,5,6,7,9,12,13],[2,5,6,8,10,11,14],[3,4,5,10,12,13,14],[3,4,6,7,8,11,12],[3,4,6,9,10,13,14],[3,5,6,8,9,10,12],[3,5,7,8,11,13,14],[4,5,6,7,9,10,11]]; G[5693]:=Group([(2,7)(3,10)(4,14)(5,12)]); # Design 5694: autom. group order 2, simple, residual B[5694]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,10,12,14],[1,3,5,7,10,11,14],[1,3,7,9,11,12,13],[1,4,5,8,12,13,14],[1,4,6,7,8,10,13],[1,4,6,9,11,13,14],[1,5,6,8,9,11,12],[1,7,8,9,10,12,14],[2,3,6,9,12,13,14],[2,3,7,8,9,10,13],[2,4,5,7,9,12,14],[2,4,7,8,9,11,14],[2,4,8,10,11,12,13],[2,5,6,7,11,12,13],[2,5,6,8,10,11,14],[3,4,5,10,12,13,14],[3,4,6,7,8,11,12],[3,4,6,9,10,11,14],[3,5,6,8,9,10,12],[3,5,7,8,11,13,14],[4,5,6,7,9,10,13]]; G[5694]:=Group([(2,7)(3,10)(4,14)(5,12)]); # Design 5695: autom. group order 2, simple, residual B[5695]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,10,12,14],[1,3,5,7,10,11,14],[1,3,7,9,11,12,13],[1,4,5,8,9,12,14],[1,4,6,7,8,10,13],[1,4,6,9,11,13,14],[1,5,6,8,11,12,13],[1,7,8,9,10,12,14],[2,3,6,8,11,12,14],[2,3,7,8,9,10,13],[2,4,5,7,12,13,14],[2,4,7,8,9,11,14],[2,4,8,10,11,12,13],[2,5,6,7,9,12,13],[2,5,6,9,10,11,14],[3,4,5,10,12,13,14],[3,4,6,7,9,11,12],[3,4,6,9,10,13,14],[3,5,6,8,9,10,12],[3,5,7,8,11,13,14],[4,5,6,7,8,10,11]]; G[5695]:=Group([(2,7)(3,10)(4,14)(5,12)]); # Design 5696: autom. group order 2, simple, residual B[5696]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,10,12,14],[1,3,5,7,10,11,14],[1,3,7,9,11,12,13],[1,4,5,8,12,13,14],[1,4,6,7,8,10,13],[1,4,6,9,11,13,14],[1,5,6,8,9,11,12],[1,7,8,9,10,12,14],[2,3,6,8,11,12,14],[2,3,7,8,9,10,13],[2,4,5,7,9,12,14],[2,4,7,8,9,11,14],[2,4,8,10,11,12,13],[2,5,6,7,11,12,13],[2,5,6,9,10,13,14],[3,4,5,10,12,13,14],[3,4,6,7,9,12,13],[3,4,6,9,10,11,14],[3,5,6,8,9,10,12],[3,5,7,8,11,13,14],[4,5,6,7,8,10,11]]; G[5696]:=Group([(2,7)(3,10)(4,14)(5,12)]); # Design 5697: autom. group order 2, simple, residual B[5697]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,7,9,12,14],[1,3,5,9,11,12,13],[1,3,7,10,11,12,14],[1,4,5,8,9,12,14],[1,4,6,7,9,10,13],[1,4,6,8,10,11,14],[1,5,6,8,11,13,14],[1,7,8,9,10,12,13],[2,3,7,8,9,11,14],[2,3,8,9,10,13,14],[2,4,5,7,10,13,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,13],[2,5,6,8,10,11,12],[2,5,6,9,10,12,14],[3,4,5,10,12,13,14],[3,4,6,7,8,12,14],[3,4,6,9,11,13,14],[3,5,6,7,8,12,13],[3,5,6,7,9,10,11],[4,5,7,8,9,10,11]]; G[5697]:=Group([(1,11)(3,12)(5,13)(6,8)]); # Design 5698: autom. group order 2, simple, residual B[5698]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,7,9,12,14],[1,3,5,9,11,12,13],[1,3,7,10,11,12,14],[1,4,5,8,10,12,14],[1,4,6,7,9,10,13],[1,4,6,8,9,11,14],[1,5,6,8,11,13,14],[1,7,8,9,10,12,13],[2,3,7,8,9,11,14],[2,3,8,9,10,13,14],[2,4,5,7,10,13,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,13],[2,5,6,8,10,11,12],[2,5,6,9,10,12,14],[3,4,5,9,12,13,14],[3,4,6,7,8,12,14],[3,4,6,10,11,13,14],[3,5,6,7,8,12,13],[3,5,6,7,9,10,11],[4,5,7,8,9,10,11]]; G[5698]:=Group([(1,11)(3,12)(5,13)(6,8)]); # Design 5699: autom. group order 2, simple, residual B[5699]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,7,9,12,14],[1,3,5,9,10,13,14],[1,3,7,11,12,13,14],[1,4,5,8,9,11,14],[1,4,6,7,9,10,12],[1,4,6,8,11,12,13],[1,5,6,8,10,12,13],[1,7,8,9,10,11,14],[2,3,7,8,9,12,13],[2,3,8,9,10,11,12],[2,4,5,11,12,13,14],[2,4,6,9,10,13,14],[2,4,7,8,10,13,14],[2,5,6,7,8,10,11],[2,5,6,9,11,12,14],[3,4,5,7,10,12,14],[3,4,6,7,8,11,14],[3,4,6,9,10,11,13],[3,5,6,7,9,11,13],[3,5,6,8,10,12,14],[4,5,7,8,9,12,13]]; G[5699]:=Group([(1,13)(3,14)(5,10)(6,8)]); # Design 5700: autom. group order 2, simple B[5700]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,6,8,10,13,14],[1,3,5,7,9,13,14],[1,3,7,8,10,11,12],[1,4,5,8,11,13,14],[1,4,6,7,9,12,14],[1,4,6,9,11,12,14],[1,5,6,8,9,10,11],[1,7,8,9,10,12,13],[2,3,7,8,9,11,14],[2,3,9,11,12,13,14],[2,4,5,9,10,12,13],[2,4,6,7,8,12,13],[2,4,7,8,9,10,14],[2,5,6,7,9,10,11],[2,5,6,8,11,12,14],[3,4,5,8,10,12,14],[3,4,6,7,8,11,13],[3,4,6,9,10,11,13],[3,5,6,7,10,12,14],[3,5,6,8,9,12,13],[4,5,7,10,11,13,14]]; G[5700]:=Group([(1,6)(2,9)(3,11)(4,10)(7,8)(12,13)]); # Design 5701: autom. group order 2, simple, residual B[5701]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,10,12,14],[1,3,5,7,10,11,14],[1,3,7,9,11,12,13],[1,4,5,9,12,13,14],[1,4,6,7,8,10,13],[1,4,6,8,9,11,14],[1,5,6,8,11,12,13],[1,7,8,9,10,12,14],[2,3,7,8,9,10,13],[2,3,8,11,12,13,14],[2,4,5,7,12,13,14],[2,4,6,9,10,12,13],[2,4,7,8,9,11,14],[2,5,6,7,8,11,12],[2,5,6,9,10,11,14],[3,4,5,8,10,12,14],[3,4,6,7,9,11,12],[3,4,6,10,11,13,14],[3,5,6,7,9,13,14],[3,5,6,8,9,10,12],[4,5,7,8,10,11,13]]; G[5701]:=Group([(2,7)(3,10)(4,14)(5,12)]); # Design 5702: autom. group order 2, simple, residual B[5702]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,10,12,14],[1,3,5,7,10,11,14],[1,3,7,9,11,12,13],[1,4,5,8,9,12,14],[1,4,6,7,8,10,13],[1,4,6,9,11,13,14],[1,5,6,8,11,12,13],[1,7,8,9,10,12,14],[2,3,7,8,9,10,13],[2,3,8,11,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,10,11,12],[2,4,7,8,9,11,14],[2,5,6,7,9,12,13],[2,5,6,9,10,11,14],[3,4,5,10,12,13,14],[3,4,6,7,9,11,12],[3,4,6,9,10,13,14],[3,5,6,7,8,11,14],[3,5,6,8,9,10,12],[4,5,7,8,10,11,13]]; G[5702]:=Group([(2,7)(3,10)(4,14)(5,12)]); # Design 5703: autom. group order 2, simple, residual B[5703]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,10,12,14],[1,3,5,7,10,11,14],[1,3,7,9,11,12,13],[1,4,5,8,12,13,14],[1,4,6,7,8,10,13],[1,4,6,9,11,13,14],[1,5,6,8,9,11,12],[1,7,8,9,10,12,14],[2,3,7,8,9,10,13],[2,3,8,11,12,13,14],[2,4,5,7,9,12,14],[2,4,6,8,10,11,12],[2,4,7,8,9,11,14],[2,5,6,7,11,12,13],[2,5,6,9,10,13,14],[3,4,5,10,12,13,14],[3,4,6,7,9,12,13],[3,4,6,9,10,11,14],[3,5,6,7,8,11,14],[3,5,6,8,9,10,12],[4,5,7,8,10,11,13]]; G[5703]:=Group([(2,7)(3,10)(4,14)(5,12)]); # Design 5704: autom. group order 2, simple, residual B[5704]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,7,9,12,14],[1,3,5,7,11,12,13],[1,3,9,10,11,12,14],[1,4,5,7,8,12,14],[1,4,6,7,9,10,13],[1,4,6,8,10,11,14],[1,5,6,8,11,13,14],[1,7,8,9,10,12,13],[2,3,7,8,9,11,14],[2,3,7,8,10,13,14],[2,4,5,9,10,13,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,13],[2,5,6,7,10,12,14],[2,5,6,8,10,11,12],[3,4,5,10,12,13,14],[3,4,6,7,11,13,14],[3,4,6,8,9,12,14],[3,5,6,7,9,10,11],[3,5,6,8,9,12,13],[4,5,7,8,9,10,11]]; G[5704]:=Group([(1,11)(3,12)(5,13)(6,8)]); # Design 5705: autom. group order 2, simple, residual B[5705]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,9,12,14],[1,3,5,7,10,13,14],[1,3,9,11,12,13,14],[1,4,5,7,8,11,14],[1,4,6,7,9,10,12],[1,4,6,8,11,12,13],[1,5,6,8,10,12,13],[1,7,8,9,10,11,14],[2,3,7,8,9,12,13],[2,3,7,8,10,11,12],[2,4,5,11,12,13,14],[2,4,6,9,10,13,14],[2,4,7,8,10,13,14],[2,5,6,7,11,12,14],[2,5,6,8,9,10,11],[3,4,5,9,10,12,14],[3,4,6,7,10,11,13],[3,4,6,8,9,11,14],[3,5,6,7,9,11,13],[3,5,6,8,10,12,14],[4,5,7,8,9,12,13]]; G[5705]:=Group([(1,13)(3,14)(5,10)(6,8)]); # Design 5706: autom. group order 2, simple B[5706]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,12,13],[1,3,5,7,11,12,13],[1,3,8,9,10,12,14],[1,4,5,7,10,11,14],[1,4,6,8,10,12,13],[1,4,6,9,11,12,14],[1,5,6,7,8,9,14],[1,7,8,9,10,11,13],[2,3,7,8,12,13,14],[2,3,7,9,10,11,14],[2,4,5,9,12,13,14],[2,4,6,7,8,10,14],[2,4,7,8,9,11,12],[2,5,6,8,10,11,12],[2,5,6,9,10,11,13],[3,4,5,8,9,10,13],[3,4,6,7,8,11,13],[3,4,6,9,11,13,14],[3,5,6,7,9,10,12],[3,5,6,8,11,12,14],[4,5,7,10,12,13,14]]; G[5706]:=Group([(1,7)(2,10)(3,14)(6,11)(8,12)(9,13)]); # Design 5707: autom. group order 2, simple, residual B[5707]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,7,9,12,14],[1,3,5,7,11,12,13],[1,3,9,10,11,12,14],[1,4,5,8,10,12,14],[1,4,6,7,8,11,14],[1,4,6,7,9,10,13],[1,5,6,8,11,13,14],[1,7,8,9,10,12,13],[2,3,7,8,9,11,14],[2,3,7,8,10,13,14],[2,4,5,9,10,13,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,13],[2,5,6,7,10,12,14],[2,5,6,8,10,11,12],[3,4,5,7,12,13,14],[3,4,6,8,9,12,14],[3,4,6,10,11,13,14],[3,5,6,7,9,10,11],[3,5,6,8,9,12,13],[4,5,7,8,9,10,11]]; G[5707]:=Group([(1,11)(3,12)(5,13)(6,8)]); # Design 5708: autom. group order 2, simple, residual B[5708]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,10,13,14],[1,2,6,8,9,11,14],[1,3,5,9,11,12,13],[1,3,7,8,10,11,14],[1,4,5,8,12,13,14],[1,4,6,7,11,12,14],[1,4,6,9,10,12,13],[1,5,7,9,10,12,14],[1,6,7,8,9,11,13],[2,3,6,8,9,12,14],[2,3,7,9,12,13,14],[2,4,5,6,11,13,14],[2,4,7,8,11,12,13],[2,4,7,9,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,11,12],[3,4,5,7,9,11,14],[3,4,6,8,10,12,14],[3,4,8,9,10,11,13],[3,5,6,7,8,12,13],[3,5,6,10,11,13,14],[4,5,6,7,8,9,10]]; G[5708]:=Group([(1,11)(3,12)(4,10)(6,8)]); # Design 5709: autom. group order 2, simple, residual B[5709]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,7,9,12,14],[1,3,5,9,10,13,14],[1,3,7,10,11,12,14],[1,4,5,8,9,11,14],[1,4,6,8,10,12,14],[1,4,6,9,11,12,13],[1,5,7,8,10,12,13],[1,6,7,8,9,11,13],[2,3,6,7,8,11,14],[2,3,8,9,11,12,13],[2,4,5,6,12,13,14],[2,4,7,9,10,13,14],[2,4,8,10,11,13,14],[2,5,6,9,10,11,12],[2,5,7,8,9,10,12],[3,4,5,7,11,12,13],[3,4,6,7,9,10,13],[3,4,7,8,9,12,14],[3,5,6,8,12,13,14],[3,5,6,9,10,11,14],[4,5,6,7,8,10,11]]; G[5709]:=Group([(1,13)(3,14)(5,10)(6,11)(7,8)]); # Design 5710: autom. group order 2, simple, residual B[5710]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,7,9,12,14],[1,3,5,9,10,13,14],[1,3,7,10,11,12,14],[1,4,5,8,11,12,14],[1,4,6,8,9,10,14],[1,4,6,9,11,12,13],[1,5,7,8,10,12,13],[1,6,7,8,9,11,13],[2,3,6,7,8,11,14],[2,3,8,9,11,12,13],[2,4,5,6,12,13,14],[2,4,7,9,10,13,14],[2,4,8,10,11,13,14],[2,5,6,9,10,11,12],[2,5,7,8,9,10,12],[3,4,5,7,9,11,13],[3,4,6,7,10,12,13],[3,4,7,8,9,12,14],[3,5,6,8,12,13,14],[3,5,6,9,10,11,14],[4,5,6,7,8,10,11]]; G[5710]:=Group([(1,13)(3,14)(5,10)(6,11)(7,8)]); # Design 5711: autom. group order 2, simple, residual B[5711]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,9,11,13],[1,3,5,8,11,12,14],[1,3,9,10,11,13,14],[1,4,5,9,12,13,14],[1,4,6,7,11,12,14],[1,4,6,8,10,12,13],[1,5,7,8,9,10,14],[1,6,7,8,9,10,12],[2,3,6,8,9,12,14],[2,3,7,8,12,13,14],[2,4,5,6,9,10,14],[2,4,7,8,10,13,14],[2,4,7,9,11,12,14],[2,5,6,8,10,11,12],[2,5,9,10,11,12,13],[3,4,5,7,10,12,13],[3,4,6,8,9,11,13],[3,4,7,8,9,10,11],[3,5,6,7,9,12,13],[3,5,6,7,10,11,14],[4,5,6,8,11,13,14]]; G[5711]:=Group([(1,11)(3,12)(4,10)(6,9)(7,13)]); # Design 5712: autom. group order 2, simple, residual B[5712]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,13],[1,2,6,7,8,11,14],[1,3,5,9,11,12,13],[1,3,8,9,10,11,14],[1,4,5,8,12,13,14],[1,4,6,7,11,12,13],[1,4,6,9,10,12,14],[1,5,7,9,11,13,14],[1,6,7,8,9,10,12],[2,3,6,8,9,12,13],[2,3,7,9,12,13,14],[2,4,5,6,9,11,14],[2,4,7,8,9,11,12],[2,4,7,9,10,13,14],[2,5,6,10,11,12,13],[2,5,8,10,11,12,14],[3,4,5,7,10,12,14],[3,4,6,8,11,13,14],[3,4,7,8,10,11,13],[3,5,6,7,8,12,14],[3,5,6,7,9,10,11],[4,5,6,8,9,10,13]]; G[5712]:=Group([(1,11)(3,12)(4,10)(6,8)(7,14)(9,13)]); # Design 5713: autom. group order 2, simple, residual B[5713]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,13],[1,2,6,8,9,11,13],[1,3,5,7,11,12,14],[1,3,8,9,10,11,14],[1,4,5,8,12,13,14],[1,4,6,7,11,12,13],[1,4,6,9,10,12,14],[1,5,7,9,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,8,12,14],[2,3,7,9,12,13,14],[2,4,5,6,9,11,14],[2,4,7,8,9,11,12],[2,4,7,9,10,13,14],[2,5,6,10,11,12,13],[2,5,8,10,11,12,14],[3,4,5,9,10,12,13],[3,4,6,8,11,13,14],[3,4,7,8,10,11,13],[3,5,6,7,9,10,11],[3,5,6,8,9,12,13],[4,5,6,7,8,10,14]]; G[5713]:=Group([(1,11)(3,12)(4,10)(6,8)(7,14)(9,13)]); # Design 5714: autom. group order 2, simple, residual B[5714]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,11,13],[1,3,5,7,11,12,14],[1,3,8,9,10,11,14],[1,4,5,9,12,13,14],[1,4,6,7,8,10,12],[1,4,6,11,12,13,14],[1,5,7,9,10,13,14],[1,6,7,8,9,10,12],[2,3,6,7,9,12,14],[2,3,7,8,12,13,14],[2,4,5,6,9,10,14],[2,4,7,8,10,13,14],[2,4,8,9,11,12,14],[2,5,6,10,11,12,13],[2,5,7,9,10,11,12],[3,4,5,8,10,12,13],[3,4,6,7,9,11,13],[3,4,7,9,10,11,13],[3,5,6,8,9,12,13],[3,5,6,8,10,11,14],[4,5,6,7,8,11,14]]; G[5714]:=Group([(1,11)(3,12)(4,10)(6,9)(8,13)]); # Design 5715: autom. group order 2, simple, residual B[5715]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,11,12],[1,3,5,9,11,13,14],[1,3,7,8,12,13,14],[1,4,5,7,9,10,14],[1,4,6,7,11,12,14],[1,4,6,9,10,12,13],[1,5,8,10,11,12,14],[1,6,7,8,9,10,13],[2,3,6,7,8,10,14],[2,3,7,9,10,11,12],[2,4,5,6,12,13,14],[2,4,7,9,11,13,14],[2,4,8,10,11,13,14],[2,5,6,8,9,12,14],[2,5,7,9,10,12,13],[3,4,5,8,10,12,13],[3,4,6,8,9,11,13],[3,4,7,8,9,12,14],[3,5,6,7,11,12,13],[3,5,6,9,10,11,14],[4,5,6,7,8,10,11]]; G[5715]:=Group([(1,13)(3,14)(5,11)(6,10)(7,8)]); # Design 5716: autom. group order 2, simple, residual B[5716]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,11,12],[1,3,5,9,11,13,14],[1,3,7,8,12,13,14],[1,4,5,7,10,12,14],[1,4,6,7,9,11,14],[1,4,6,9,10,12,13],[1,5,8,10,11,12,14],[1,6,7,8,9,10,13],[2,3,6,7,8,10,14],[2,3,7,9,10,11,12],[2,4,5,6,12,13,14],[2,4,7,9,11,13,14],[2,4,8,10,11,13,14],[2,5,6,8,9,12,14],[2,5,7,9,10,12,13],[3,4,5,8,9,10,13],[3,4,6,8,11,12,13],[3,4,7,8,9,12,14],[3,5,6,7,11,12,13],[3,5,6,9,10,11,14],[4,5,6,7,8,10,11]]; G[5716]:=Group([(1,13)(3,14)(5,11)(6,10)(7,8)]); # Design 5717: autom. group order 2, simple, residual B[5717]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,9,11,12,13],[1,3,5,9,10,13,14],[1,3,7,10,11,12,14],[1,4,5,8,9,11,14],[1,4,6,7,9,12,14],[1,4,6,8,10,12,14],[1,5,7,8,10,12,13],[1,6,7,8,9,11,13],[2,3,6,7,8,11,14],[2,3,7,8,9,12,14],[2,4,5,6,12,13,14],[2,4,7,9,10,13,14],[2,4,8,10,11,13,14],[2,5,6,9,10,11,12],[2,5,7,8,9,10,12],[3,4,5,7,11,12,13],[3,4,6,7,9,10,13],[3,4,8,9,11,12,13],[3,5,6,8,12,13,14],[3,5,6,9,10,11,14],[4,5,6,7,8,10,11]]; G[5717]:=Group([(1,13)(3,14)(5,10)(6,11)(7,8)]); # Design 5718: autom. group order 2, simple, residual B[5718]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,9,11,12,13],[1,3,5,9,10,13,14],[1,3,7,10,11,12,14],[1,4,5,8,11,12,14],[1,4,6,7,9,12,14],[1,4,6,8,9,10,14],[1,5,7,8,10,12,13],[1,6,7,8,9,11,13],[2,3,6,7,8,11,14],[2,3,7,8,9,12,14],[2,4,5,6,12,13,14],[2,4,7,9,10,13,14],[2,4,8,10,11,13,14],[2,5,6,9,10,11,12],[2,5,7,8,9,10,12],[3,4,5,7,9,11,13],[3,4,6,7,10,12,13],[3,4,8,9,11,12,13],[3,5,6,8,12,13,14],[3,5,6,9,10,11,14],[4,5,6,7,8,10,11]]; G[5718]:=Group([(1,13)(3,14)(5,10)(6,11)(7,8)]); # Design 5719: autom. group order 2, simple B[5719]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,7,8,11,12],[1,3,5,7,11,13,14],[1,3,7,8,12,13,14],[1,4,5,7,9,10,14],[1,4,6,8,11,12,14],[1,4,6,9,10,12,13],[1,5,9,10,11,12,14],[1,6,7,8,9,10,13],[2,3,6,8,9,10,14],[2,3,7,9,10,11,12],[2,4,5,6,12,13,14],[2,4,7,10,11,13,14],[2,4,8,9,11,13,14],[2,5,6,7,9,12,14],[2,5,7,8,10,12,13],[3,4,5,8,10,12,13],[3,4,6,7,9,11,13],[3,4,7,8,9,12,14],[3,5,6,8,10,11,14],[3,5,6,9,11,12,13],[4,5,6,7,8,10,11]]; G[5719]:=Group([(1,13)(3,14)(5,11)(6,10)]); # Design 5720: autom. group order 2, simple B[5720]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,10,13],[1,3,5,7,12,13,14],[1,3,7,8,11,12,13],[1,4,5,8,9,10,12],[1,4,6,7,9,11,14],[1,4,6,8,10,11,14],[1,5,7,9,10,12,14],[1,6,8,9,11,12,13],[2,3,6,8,9,12,14],[2,3,9,10,11,12,14],[2,4,5,6,11,12,13],[2,4,7,8,9,13,14],[2,4,7,8,10,12,13],[2,5,6,7,9,11,12],[2,5,7,8,10,11,14],[3,4,5,9,11,13,14],[3,4,6,7,8,12,14],[3,4,7,9,10,11,13],[3,5,6,7,8,10,11],[3,5,6,8,9,10,13],[4,5,6,10,12,13,14]]; G[5720]:=Group([(2,11)(3,8)(4,13)(5,12)(7,9)(10,14)]); # Design 5721: autom. group order 2, simple B[5721]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,7,8,11,12],[1,3,5,7,11,13,14],[1,3,7,8,12,13,14],[1,4,5,8,10,12,14],[1,4,6,7,9,11,14],[1,4,6,9,10,12,13],[1,5,9,10,11,12,14],[1,6,7,8,9,10,13],[2,3,6,8,9,10,14],[2,3,7,9,10,11,12],[2,4,5,6,12,13,14],[2,4,7,10,11,13,14],[2,4,8,9,11,13,14],[2,5,6,7,9,12,14],[2,5,7,8,10,12,13],[3,4,5,7,9,10,13],[3,4,6,8,11,12,13],[3,4,7,8,9,12,14],[3,5,6,8,10,11,14],[3,5,6,9,11,12,13],[4,5,6,7,8,10,11]]; G[5721]:=Group([(1,13)(3,14)(5,11)(6,10)]); # Design 5722: autom. group order 2, simple, residual B[5722]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,13,14],[1,2,6,7,9,11,14],[1,3,5,7,11,12,13],[1,3,8,9,10,11,14],[1,4,5,9,12,13,14],[1,4,6,7,10,12,13],[1,4,6,8,11,12,14],[1,5,7,8,10,12,14],[1,6,7,8,9,11,13],[2,3,6,7,9,12,14],[2,3,7,8,12,13,14],[2,4,5,6,11,13,14],[2,4,7,8,10,13,14],[2,4,8,9,11,12,13],[2,5,6,8,10,11,12],[2,5,7,9,10,11,12],[3,4,5,7,8,11,14],[3,4,6,9,10,12,14],[3,4,7,9,10,11,13],[3,5,6,8,9,12,13],[3,5,6,10,11,13,14],[4,5,6,7,8,9,10]]; G[5722]:=Group([(1,11)(3,12)(4,10)(6,9)]); # Design 5723: autom. group order 2, simple, residual B[5723]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,6,7,9,10,14],[1,3,5,9,11,13,14],[1,3,7,8,11,12,14],[1,4,5,7,10,12,14],[1,4,6,7,9,12,13],[1,4,6,8,9,11,14],[1,5,7,8,10,11,13],[1,6,8,9,10,12,13],[2,3,6,8,10,12,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,7,11,12,13,14],[2,4,9,10,11,13,14],[2,5,6,7,9,11,12],[2,5,7,8,9,10,11],[3,4,5,9,10,12,13],[3,4,6,7,8,11,13],[3,4,7,8,9,10,14],[3,5,6,7,10,13,14],[3,5,6,9,11,12,14],[4,5,6,8,10,11,12]]; G[5723]:=Group([(1,13)(3,14)(5,11)(6,12)(8,10)]); # Design 5724: autom. group order 2, simple, residual B[5724]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,6,7,9,12,13],[1,3,5,9,10,13,14],[1,3,7,8,10,12,14],[1,4,5,7,11,12,14],[1,4,6,7,9,11,14],[1,4,6,8,9,10,14],[1,5,7,8,10,11,13],[1,6,8,9,11,12,13],[2,3,6,8,11,12,14],[2,3,7,8,9,11,14],[2,4,5,6,8,13,14],[2,4,7,10,12,13,14],[2,4,9,10,11,13,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,9,11,12,13],[3,4,6,7,8,10,13],[3,4,7,8,9,12,13],[3,5,6,7,11,13,14],[3,5,6,9,10,12,14],[4,5,6,8,10,11,12]]; G[5724]:=Group([(1,13)(3,14)(5,10)(6,12)(8,11)]); # Design 5725: autom. group order 2, simple, residual B[5725]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,9,11,12],[1,3,5,9,11,13,14],[1,3,7,8,12,13,14],[1,4,5,7,10,12,14],[1,4,6,7,9,10,13],[1,4,6,8,9,11,14],[1,5,7,8,10,11,14],[1,6,8,9,10,12,13],[2,3,6,8,10,12,14],[2,3,7,8,9,10,11],[2,4,5,6,8,13,14],[2,4,7,10,11,13,14],[2,4,9,11,12,13,14],[2,5,6,7,9,12,14],[2,5,7,8,9,10,13],[3,4,5,9,10,12,13],[3,4,6,7,8,11,13],[3,4,7,8,9,12,14],[3,5,6,7,11,12,13],[3,5,6,9,10,11,14],[4,5,6,8,10,11,12]]; G[5725]:=Group([(1,13)(3,14)(5,11)(6,10)(8,12)]); # Design 5726: autom. group order 2, simple B[5726]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,7,8,11,12],[1,3,5,11,12,13,14],[1,3,7,8,12,13,14],[1,4,5,7,8,10,14],[1,4,6,7,9,10,13],[1,4,6,9,11,12,14],[1,5,7,9,10,11,14],[1,6,8,9,10,12,13],[2,3,6,8,9,10,14],[2,3,7,9,10,11,12],[2,4,5,6,12,13,14],[2,4,7,10,11,13,14],[2,4,8,9,11,13,14],[2,5,6,7,9,12,14],[2,5,7,8,10,12,13],[3,4,5,9,10,12,13],[3,4,6,7,8,11,13],[3,4,7,8,9,12,14],[3,5,6,7,9,11,13],[3,5,6,8,10,11,14],[4,5,6,8,10,11,12]]; G[5726]:=Group([(1,13)(3,14)(5,11)(6,10)]); # Design 5727: autom. group order 2, simple, residual B[5727]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,6,7,9,10,14],[1,3,5,9,11,13,14],[1,3,7,8,11,12,14],[1,4,5,9,10,12,14],[1,4,6,7,8,11,14],[1,4,6,7,9,12,13],[1,5,7,8,10,11,13],[1,6,8,9,10,12,13],[2,3,6,8,10,12,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,7,11,12,13,14],[2,4,9,10,11,13,14],[2,5,6,7,9,11,12],[2,5,7,8,9,10,11],[3,4,5,7,10,12,13],[3,4,6,8,9,11,13],[3,4,7,8,9,10,14],[3,5,6,7,10,13,14],[3,5,6,9,11,12,14],[4,5,6,8,10,11,12]]; G[5727]:=Group([(1,13)(3,14)(5,11)(6,12)(8,10)]); # Design 5728: autom. group order 2, simple, residual B[5728]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,6,7,9,12,13],[1,3,5,9,10,13,14],[1,3,7,8,10,12,14],[1,4,5,9,11,12,14],[1,4,6,7,8,10,14],[1,4,6,7,9,11,14],[1,5,7,8,10,11,13],[1,6,8,9,11,12,13],[2,3,6,8,11,12,14],[2,3,7,8,9,11,14],[2,4,5,6,8,13,14],[2,4,7,10,12,13,14],[2,4,9,10,11,13,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,7,11,12,13],[3,4,6,8,9,10,13],[3,4,7,8,9,12,13],[3,5,6,7,11,13,14],[3,5,6,9,10,12,14],[4,5,6,8,10,11,12]]; G[5728]:=Group([(1,13)(3,14)(5,10)(6,12)(8,11)]); # Design 5729: autom. group order 2, simple B[5729]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,7,8,11,12],[1,3,5,11,12,13,14],[1,3,7,8,12,13,14],[1,4,5,9,10,12,14],[1,4,6,7,8,11,14],[1,4,6,7,9,10,13],[1,5,7,9,10,11,14],[1,6,8,9,10,12,13],[2,3,6,8,9,10,14],[2,3,7,9,10,11,12],[2,4,5,6,12,13,14],[2,4,7,10,11,13,14],[2,4,8,9,11,13,14],[2,5,6,7,9,12,14],[2,5,7,8,10,12,13],[3,4,5,7,8,10,13],[3,4,6,9,11,12,13],[3,4,7,8,9,12,14],[3,5,6,7,9,11,13],[3,5,6,8,10,11,14],[4,5,6,8,10,11,12]]; G[5729]:=Group([(1,13)(3,14)(5,11)(6,10)]); # Design 5730: autom. group order 2, simple B[5730]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,9,10,13],[1,2,6,7,11,12,14],[1,3,5,10,11,12,13],[1,3,8,9,10,13,14],[1,4,5,9,11,12,14],[1,4,6,7,8,11,13],[1,4,6,9,12,13,14],[1,5,7,8,10,12,14],[1,6,7,8,9,10,11],[2,3,6,9,10,11,14],[2,3,7,8,9,11,12],[2,4,5,8,11,13,14],[2,4,6,9,10,12,13],[2,4,7,8,10,12,13],[2,5,6,8,10,12,14],[2,5,7,9,11,13,14],[3,4,5,6,7,10,14],[3,4,7,8,9,12,14],[3,4,7,10,11,13,14],[3,5,6,7,9,12,13],[3,5,6,8,11,12,13],[4,5,6,8,9,10,11]]; G[5730]:=Group([(1,10)(3,12)(5,13)(7,9)]); # Design 5731: autom. group order 2, simple B[5731]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,9,10,13],[1,2,6,9,11,12,14],[1,3,5,10,11,12,13],[1,3,7,8,10,13,14],[1,4,5,7,11,12,14],[1,4,6,7,11,13,14],[1,4,6,8,9,12,13],[1,5,8,9,10,11,14],[1,6,7,8,9,10,12],[2,3,6,7,10,12,14],[2,3,7,8,9,11,12],[2,4,5,8,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,11,13],[2,5,6,8,10,11,14],[2,5,7,9,12,13,14],[3,4,5,6,9,10,14],[3,4,7,8,9,11,14],[3,4,9,10,12,13,14],[3,5,6,7,9,11,13],[3,5,6,8,11,12,13],[4,5,6,7,8,10,12]]; G[5731]:=Group([(1,10)(3,11)(5,13)(7,9)]); # Design 5732: autom. group order 2, simple B[5732]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,11,12,13],[1,3,5,9,11,12,13],[1,3,7,8,9,10,11],[1,4,5,7,10,12,14],[1,4,6,7,8,12,14],[1,4,6,8,9,11,14],[1,5,8,9,10,13,14],[1,6,7,9,10,12,13],[2,3,6,9,10,12,14],[2,3,7,8,9,12,14],[2,4,5,8,10,12,13],[2,4,6,7,9,11,13],[2,4,7,8,9,10,13],[2,5,6,8,10,11,14],[2,5,7,9,11,12,14],[3,4,5,6,9,13,14],[3,4,7,10,11,13,14],[3,4,8,11,12,13,14],[3,5,6,7,8,10,11],[3,5,6,7,8,12,13],[4,5,6,9,10,11,12]]; G[5732]:=Group([(1,13)(2,14)(5,11)(6,10)(9,12)]); # Design 5733: autom. group order 2, simple B[5733]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,7,12,13,14],[1,3,5,9,12,13,14],[1,3,7,8,9,10,12],[1,4,5,7,11,12,14],[1,4,6,7,8,11,14],[1,4,6,8,9,10,14],[1,5,7,9,10,11,13],[1,6,8,9,11,12,13],[2,3,6,9,11,12,14],[2,3,7,8,9,11,14],[2,4,5,8,11,12,13],[2,4,6,7,9,10,13],[2,4,7,8,9,12,13],[2,5,6,8,10,12,14],[2,5,7,9,10,11,14],[3,4,5,6,9,13,14],[3,4,7,10,12,13,14],[3,4,8,10,11,13,14],[3,5,6,7,8,10,12],[3,5,6,7,8,11,13],[4,5,6,9,10,11,12]]; G[5733]:=Group([(1,13)(2,14)(5,10)(6,12)(9,11)]); # Design 5734: autom. group order 2, simple B[5734]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,11,12,13],[1,3,5,9,11,12,13],[1,3,7,8,9,10,11],[1,4,5,7,10,12,14],[1,4,6,7,8,12,14],[1,4,6,8,9,11,14],[1,5,7,9,10,13,14],[1,6,8,9,10,12,13],[2,3,6,9,10,12,14],[2,3,7,8,9,12,14],[2,4,5,8,10,12,13],[2,4,6,7,9,11,13],[2,4,7,8,9,10,13],[2,5,6,8,10,11,14],[2,5,7,9,11,12,14],[3,4,5,6,9,13,14],[3,4,7,10,11,13,14],[3,4,8,11,12,13,14],[3,5,6,7,8,10,11],[3,5,6,7,8,12,13],[4,5,6,9,10,11,12]]; G[5734]:=Group([(1,13)(2,14)(5,11)(6,10)(9,12)]); # Design 5735: autom. group order 2, simple B[5735]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,11,12,13,14],[1,2,6,8,9,11,13],[1,3,5,7,8,11,13],[1,3,7,9,10,11,12],[1,4,5,8,9,10,14],[1,4,6,7,9,12,14],[1,4,6,8,11,12,14],[1,5,7,9,10,13,14],[1,6,7,8,10,12,13],[2,3,6,7,8,10,14],[2,3,7,8,9,12,14],[2,4,5,7,10,12,13],[2,4,6,7,9,11,13],[2,4,8,9,10,12,13],[2,5,6,9,10,11,14],[2,5,7,8,11,12,14],[3,4,5,6,12,13,14],[3,4,7,9,11,13,14],[3,4,8,10,11,13,14],[3,5,6,8,9,12,13],[3,5,6,9,10,11,12],[4,5,6,7,8,10,11]]; G[5735]:=Group([(1,13)(2,14)(5,11)(6,10)(7,8)]); # Design 5736: autom. group order 2, simple B[5736]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,11,12,13,14],[1,2,6,8,9,11,13],[1,3,5,7,8,11,13],[1,3,7,9,10,11,12],[1,4,5,8,10,12,14],[1,4,6,7,9,12,14],[1,4,6,8,9,11,14],[1,5,7,9,10,13,14],[1,6,7,8,10,12,13],[2,3,6,7,8,10,14],[2,3,7,8,9,12,14],[2,4,5,7,9,10,13],[2,4,6,7,11,12,13],[2,4,8,9,10,12,13],[2,5,6,9,10,11,14],[2,5,7,8,11,12,14],[3,4,5,6,12,13,14],[3,4,7,9,11,13,14],[3,4,8,10,11,13,14],[3,5,6,8,9,12,13],[3,5,6,9,10,11,12],[4,5,6,7,8,10,11]]; G[5736]:=Group([(1,13)(2,14)(5,11)(6,10)(7,8)]); # Design 5737: autom. group order 2, simple B[5737]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,9,11,12,13],[1,3,5,7,9,11,13],[1,3,7,8,10,11,12],[1,4,5,9,10,12,14],[1,4,6,7,8,12,14],[1,4,6,8,9,11,14],[1,5,7,10,12,13,14],[1,6,7,8,9,10,13],[2,3,6,7,9,10,14],[2,3,7,8,9,12,14],[2,4,5,7,8,10,13],[2,4,6,7,11,12,13],[2,4,8,9,10,12,13],[2,5,6,8,10,11,14],[2,5,7,9,11,12,14],[3,4,5,6,12,13,14],[3,4,7,8,11,13,14],[3,4,9,10,11,13,14],[3,5,6,8,9,12,13],[3,5,6,8,10,11,12],[4,5,6,7,9,10,11]]; G[5737]:=Group([(1,13)(2,14)(5,11)(6,10)(7,9)]); # Design 5738: autom. group order 2, simple B[5738]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,9,11,12,13],[1,3,5,7,9,11,13],[1,3,7,8,10,11,12],[1,4,5,8,9,10,14],[1,4,6,7,8,12,14],[1,4,6,9,11,12,14],[1,5,7,10,12,13,14],[1,6,7,8,9,10,13],[2,3,6,7,9,10,14],[2,3,7,8,9,12,14],[2,4,5,7,10,12,13],[2,4,6,7,8,11,13],[2,4,8,9,10,12,13],[2,5,6,8,10,11,14],[2,5,7,9,11,12,14],[3,4,5,6,12,13,14],[3,4,7,8,11,13,14],[3,4,9,10,11,13,14],[3,5,6,8,9,12,13],[3,5,6,8,10,11,12],[4,5,6,7,9,10,11]]; G[5738]:=Group([(1,13)(2,14)(5,11)(6,10)(7,9)]); # Design 5739: autom. group order 2, simple B[5739]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,13,14],[1,2,6,11,12,13,14],[1,3,5,7,11,13,14],[1,3,7,9,10,11,12],[1,4,5,8,11,12,14],[1,4,6,7,9,12,14],[1,4,6,8,9,10,14],[1,5,7,8,10,12,13],[1,6,7,8,9,11,13],[2,3,6,7,8,11,14],[2,3,7,8,9,12,14],[2,4,5,7,9,11,13],[2,4,6,7,10,12,13],[2,4,8,9,11,12,13],[2,5,6,9,10,11,14],[2,5,7,8,10,12,14],[3,4,5,6,12,13,14],[3,4,7,9,10,13,14],[3,4,8,10,11,13,14],[3,5,6,8,9,12,13],[3,5,6,9,10,11,12],[4,5,6,7,8,10,11]]; G[5739]:=Group([(1,13)(2,14)(5,10)(6,11)(7,8)]); # Design 5740: autom. group order 2, simple B[5740]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,12,13,14],[1,3,7,9,10,11,12],[1,4,5,8,9,12,14],[1,4,6,7,9,11,14],[1,4,6,8,10,11,14],[1,5,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,6,7,8,12,14],[2,3,7,8,9,11,14],[2,4,5,7,11,12,13],[2,4,6,7,9,10,13],[2,4,8,9,11,12,13],[2,5,6,9,10,12,14],[2,5,7,8,10,11,14],[3,4,5,6,11,13,14],[3,4,7,9,10,13,14],[3,4,8,10,12,13,14],[3,5,6,8,9,11,13],[3,5,6,9,10,11,12],[4,5,6,7,8,10,12]]; G[5740]:=Group([(1,13)(2,14)(5,10)(6,12)(7,8)]); # Design 5741: autom. group order 2, simple, residual B[5741]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,11,12,14],[1,3,7,9,10,12,14],[1,4,5,8,11,13,14],[1,4,6,7,9,10,11],[1,4,6,8,9,12,14],[1,5,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,6,7,8,11,14],[2,3,8,9,11,12,13],[2,4,5,7,9,12,13],[2,4,6,7,10,13,14],[2,4,7,8,9,11,14],[2,5,6,9,10,11,12],[2,5,7,8,10,12,14],[3,4,5,6,12,13,14],[3,4,7,8,10,12,13],[3,4,9,10,11,13,14],[3,5,6,7,9,11,13],[3,5,6,8,9,10,14],[4,5,6,8,10,11,12]]; G[5741]:=Group([(1,14)(3,7)(4,8)(5,11)]); # Design 5742: autom. group order 2, simple, residual B[5742]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,11,12,13,14],[1,2,6,9,10,11,14],[1,3,5,7,12,13,14],[1,3,7,9,10,11,14],[1,4,5,8,10,12,14],[1,4,6,7,9,11,12],[1,4,6,8,9,13,14],[1,5,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,6,7,8,12,14],[2,3,8,9,11,12,13],[2,4,5,7,9,11,13],[2,4,6,7,10,13,14],[2,4,7,8,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,11,13,14],[3,4,7,8,10,11,13],[3,4,9,10,12,13,14],[3,5,6,7,9,10,12],[3,5,6,8,9,11,14],[4,5,6,8,10,11,12]]; G[5742]:=Group([(1,14)(3,7)(4,8)(5,12)]); # Design 5743: autom. group order 2, simple, residual B[5743]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,12,14],[1,2,6,9,11,13,14],[1,3,5,7,12,13,14],[1,3,7,9,10,11,14],[1,4,5,8,12,13,14],[1,4,6,7,9,10,12],[1,4,6,8,11,13,14],[1,5,7,8,9,10,13],[1,6,7,8,9,11,12],[2,3,6,7,8,12,14],[2,3,8,9,11,12,13],[2,4,5,7,9,11,13],[2,4,6,7,10,13,14],[2,4,7,8,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,9,11,14],[3,4,7,8,10,11,13],[3,4,9,10,12,13,14],[3,5,6,7,11,12,13],[3,5,6,8,9,10,14],[4,5,6,8,10,11,12]]; G[5743]:=Group([(1,14)(3,7)(4,8)(5,12)]); # Design 5744: autom. group order 2, simple, residual B[5744]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,12,14],[1,2,6,9,11,13,14],[1,3,5,7,12,13,14],[1,3,7,9,10,11,14],[1,4,5,8,12,13,14],[1,4,6,7,9,11,12],[1,4,6,8,11,13,14],[1,5,7,8,9,10,13],[1,6,7,8,9,10,12],[2,3,6,7,8,12,14],[2,3,8,9,11,12,13],[2,4,5,7,9,11,13],[2,4,6,7,10,13,14],[2,4,7,8,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,9,10,14],[3,4,7,8,10,11,13],[3,4,9,10,12,13,14],[3,5,6,7,11,12,13],[3,5,6,8,9,11,14],[4,5,6,8,10,11,12]]; G[5744]:=Group([(1,14)(3,7)(4,8)(5,12)]); # Design 5745: autom. group order 2, simple, residual B[5745]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,11,12,14],[1,3,7,9,10,12,14],[1,4,5,8,11,13,14],[1,4,6,7,11,12,13],[1,4,6,8,9,12,14],[1,5,7,8,9,10,13],[1,6,7,8,9,10,11],[2,3,6,7,8,11,14],[2,3,8,9,11,12,13],[2,4,5,7,9,12,13],[2,4,6,7,10,13,14],[2,4,7,8,9,11,14],[2,5,6,9,10,11,12],[2,5,7,8,10,12,14],[3,4,5,6,9,10,14],[3,4,7,8,10,12,13],[3,4,9,10,11,13,14],[3,5,6,7,9,11,13],[3,5,6,8,12,13,14],[4,5,6,8,10,11,12]]; G[5745]:=Group([(1,14)(3,7)(4,8)(5,11)]); # Design 5746: autom. group order 2, simple, residual B[5746]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,11,12,13,14],[1,2,6,9,10,11,14],[1,3,5,7,12,13,14],[1,3,7,9,10,11,14],[1,4,5,8,10,12,14],[1,4,6,7,11,12,13],[1,4,6,8,9,13,14],[1,5,7,8,9,10,13],[1,6,7,8,9,11,12],[2,3,6,7,8,12,14],[2,3,8,9,11,12,13],[2,4,5,7,9,11,13],[2,4,6,7,10,13,14],[2,4,7,8,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,9,11,14],[3,4,7,8,10,11,13],[3,4,9,10,12,13,14],[3,5,6,7,9,10,12],[3,5,6,8,11,13,14],[4,5,6,8,10,11,12]]; G[5746]:=Group([(1,14)(3,7)(4,8)(5,12)]); # Design 5747: autom. group order 2, simple, residual B[5747]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,11,13,14],[1,3,8,10,11,12,14],[1,4,5,7,10,12,14],[1,4,6,7,9,10,11],[1,4,6,8,9,12,14],[1,5,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,6,7,8,11,14],[2,3,7,9,10,12,13],[2,4,5,8,11,12,13],[2,4,6,7,10,13,14],[2,4,7,8,9,11,14],[2,5,6,9,10,11,12],[2,5,7,8,10,12,14],[3,4,5,6,12,13,14],[3,4,7,8,9,12,13],[3,4,9,10,11,13,14],[3,5,6,7,9,11,12],[3,5,6,8,9,10,14],[4,5,6,8,10,11,13]]; G[5747]:=Group([(1,14)(3,7)(4,8)(5,11)]); # Design 5748: autom. group order 2, simple, residual B[5748]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,11,13,14],[1,3,8,10,11,12,14],[1,4,5,7,10,12,14],[1,4,6,7,9,11,12],[1,4,6,8,9,10,14],[1,5,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,6,7,8,11,14],[2,3,7,9,10,12,13],[2,4,5,8,11,12,13],[2,4,6,7,10,13,14],[2,4,7,8,9,11,14],[2,5,6,9,10,11,12],[2,5,7,8,10,12,14],[3,4,5,6,12,13,14],[3,4,7,8,9,12,13],[3,4,9,10,11,13,14],[3,5,6,7,9,10,11],[3,5,6,8,9,12,14],[4,5,6,8,10,11,13]]; G[5748]:=Group([(1,14)(3,7)(4,8)(5,11)]); # Design 5749: autom. group order 2, simple, residual B[5749]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,11,13,14],[1,3,8,10,11,12,14],[1,4,5,7,10,12,14],[1,4,6,7,11,12,13],[1,4,6,8,9,10,14],[1,5,7,8,9,10,13],[1,6,7,8,9,11,12],[2,3,6,7,8,11,14],[2,3,7,9,10,12,13],[2,4,5,8,11,12,13],[2,4,6,7,10,13,14],[2,4,7,8,9,11,14],[2,5,6,9,10,11,12],[2,5,7,8,10,12,14],[3,4,5,6,9,12,14],[3,4,7,8,9,12,13],[3,4,9,10,11,13,14],[3,5,6,7,9,10,11],[3,5,6,8,12,13,14],[4,5,6,8,10,11,13]]; G[5749]:=Group([(1,14)(3,7)(4,8)(5,11)]); # Design 5750: autom. group order 2, simple, residual B[5750]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,11,13,14],[1,3,8,10,11,12,14],[1,4,5,7,10,12,14],[1,4,6,7,11,12,13],[1,4,6,8,9,12,14],[1,5,7,8,9,10,13],[1,6,7,8,9,10,11],[2,3,6,7,8,11,14],[2,3,7,9,10,12,13],[2,4,5,8,11,12,13],[2,4,6,7,10,13,14],[2,4,7,8,9,11,14],[2,5,6,9,10,11,12],[2,5,7,8,10,12,14],[3,4,5,6,9,10,14],[3,4,7,8,9,12,13],[3,4,9,10,11,13,14],[3,5,6,7,9,11,12],[3,5,6,8,12,13,14],[4,5,6,8,10,11,13]]; G[5750]:=Group([(1,14)(3,7)(4,8)(5,11)]); # Design 5751: autom. group order 2, simple B[5751]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,9,12,14],[1,3,5,9,12,13,14],[1,3,7,10,11,12,14],[1,4,5,9,11,13,14],[1,4,6,8,9,10,12],[1,4,6,8,11,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,10,13],[2,3,6,8,9,11,14],[2,3,8,9,10,11,13],[2,4,5,8,10,12,14],[2,4,7,8,12,13,14],[2,4,7,9,10,13,14],[2,5,6,7,9,11,12],[2,5,6,10,11,12,13],[3,4,5,6,7,10,13],[3,4,6,7,8,11,14],[3,4,7,9,11,12,13],[3,5,6,8,12,13,14],[3,5,7,8,9,10,12],[4,5,6,9,10,11,14]]; G[5751]:=Group([(1,14)(2,6)(4,8)(5,11)(7,9)(10,13)]); # Design 5752: autom. group order 2, simple, residual B[5752]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,11,13],[1,3,5,7,9,12,14],[1,3,7,8,9,10,11],[1,4,5,11,12,13,14],[1,4,6,7,10,12,13],[1,4,6,8,9,12,14],[1,5,7,8,10,12,13],[1,6,8,9,10,11,14],[2,3,6,8,11,12,13],[2,3,7,8,10,12,14],[2,4,5,8,9,10,13],[2,4,7,8,11,12,14],[2,4,7,9,10,13,14],[2,5,6,7,9,11,12],[2,5,6,9,10,12,14],[3,4,5,6,10,11,14],[3,4,6,8,9,12,13],[3,4,7,9,11,13,14],[3,5,6,7,8,13,14],[3,5,9,10,11,12,13],[4,5,6,7,8,10,11]]; G[5752]:=Group([(1,13)(2,6)(4,8)(5,12)(7,11)(10,14)]); # Design 5753: autom. group order 2, simple B[5753]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,9,10,11,14],[1,3,5,7,9,13,14],[1,3,7,10,11,12,13],[1,4,5,8,11,13,14],[1,4,6,7,8,12,14],[1,4,6,8,9,10,13],[1,5,7,9,10,12,14],[1,6,7,8,9,11,12],[2,3,6,8,9,12,14],[2,3,7,8,12,13,14],[2,4,5,7,9,10,12],[2,4,7,8,10,11,14],[2,4,7,9,11,13,14],[2,5,6,7,8,10,13],[2,5,6,9,11,12,13],[3,4,5,6,11,12,14],[3,4,6,7,9,11,13],[3,4,8,9,10,12,13],[3,5,6,7,8,10,11],[3,5,8,9,10,11,14],[4,5,6,10,12,13,14]]; G[5753]:=Group([(1,12)(2,14)(3,6)(7,11)(8,10)(9,13)]); # Design 5754: autom. group order 2, simple B[5754]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,7,9,12,14],[1,3,5,9,10,13,14],[1,3,7,10,11,12,14],[1,4,5,8,9,11,14],[1,4,6,8,10,12,14],[1,4,6,9,11,12,13],[1,5,7,8,10,12,13],[1,6,7,8,9,11,13],[2,3,7,8,9,12,14],[2,3,8,9,11,12,13],[2,4,5,6,12,13,14],[2,4,7,9,10,13,14],[2,4,8,10,11,13,14],[2,5,6,7,8,10,11],[2,5,6,9,10,11,12],[3,4,5,7,11,12,13],[3,4,6,7,8,11,14],[3,4,6,7,9,10,13],[3,5,6,8,12,13,14],[3,5,6,9,10,11,14],[4,5,7,8,9,10,12]]; G[5754]:=Group([(1,13)(3,14)(5,10)(6,11)(7,8)]); # Design 5755: autom. group order 2, simple B[5755]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,7,9,12,14],[1,3,5,9,10,13,14],[1,3,7,10,11,12,14],[1,4,5,8,11,12,14],[1,4,6,8,9,10,14],[1,4,6,9,11,12,13],[1,5,7,8,10,12,13],[1,6,7,8,9,11,13],[2,3,7,8,9,12,14],[2,3,8,9,11,12,13],[2,4,5,6,12,13,14],[2,4,7,9,10,13,14],[2,4,8,10,11,13,14],[2,5,6,7,8,10,11],[2,5,6,9,10,11,12],[3,4,5,7,9,11,13],[3,4,6,7,8,11,14],[3,4,6,7,10,12,13],[3,5,6,8,12,13,14],[3,5,6,9,10,11,14],[4,5,7,8,9,10,12]]; G[5755]:=Group([(1,13)(3,14)(5,10)(6,11)(7,8)]); # Design 5756: autom. group order 2, simple B[5756]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,13],[1,3,5,9,11,13,14],[1,3,7,8,12,13,14],[1,4,5,7,10,12,14],[1,4,6,7,9,11,14],[1,4,6,8,9,11,12],[1,5,8,10,11,12,14],[1,6,7,8,9,10,13],[2,3,7,8,9,12,14],[2,3,7,9,10,11,12],[2,4,5,6,12,13,14],[2,4,7,9,11,13,14],[2,4,8,10,11,13,14],[2,5,6,7,8,10,11],[2,5,6,8,9,12,14],[3,4,5,8,9,10,13],[3,4,6,7,8,10,14],[3,4,6,8,11,12,13],[3,5,6,7,11,12,13],[3,5,6,9,10,11,14],[4,5,7,9,10,12,13]]; G[5756]:=Group([(1,13)(3,14)(5,11)(6,10)(7,8)]); # Design 5757: autom. group order 2, simple B[5757]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,9,10,13],[1,3,5,9,11,13,14],[1,3,7,8,12,13,14],[1,4,5,7,10,12,14],[1,4,6,7,9,11,12],[1,4,6,8,9,11,14],[1,5,7,8,10,11,14],[1,6,8,9,10,12,13],[2,3,7,8,9,10,11],[2,3,7,8,9,12,14],[2,4,5,6,8,13,14],[2,4,7,10,11,13,14],[2,4,9,11,12,13,14],[2,5,6,7,9,12,14],[2,5,6,8,10,11,12],[3,4,5,9,10,12,13],[3,4,6,7,8,11,13],[3,4,6,8,10,12,14],[3,5,6,7,11,12,13],[3,5,6,9,10,11,14],[4,5,7,8,9,10,13]]; G[5757]:=Group([(1,13)(3,14)(5,11)(6,10)(8,12)]); # Design 5758: autom. group order 2, simple B[5758]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,6,7,9,10,14],[1,3,5,9,11,13,14],[1,3,7,8,11,12,14],[1,4,5,7,10,12,14],[1,4,6,7,9,12,13],[1,4,6,8,9,11,14],[1,5,7,8,10,11,13],[1,6,8,9,10,12,13],[2,3,7,8,9,10,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,7,11,12,13,14],[2,4,9,10,11,13,14],[2,5,6,7,9,11,12],[2,5,6,8,10,11,12],[3,4,5,9,10,12,13],[3,4,6,7,8,11,13],[3,4,6,8,10,12,14],[3,5,6,7,10,13,14],[3,5,6,9,11,12,14],[4,5,7,8,9,10,11]]; G[5758]:=Group([(1,13)(3,14)(5,11)(6,12)(8,10)]); # Design 5759: autom. group order 2, simple B[5759]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,9,10,13],[1,3,5,9,11,13,14],[1,3,7,8,12,13,14],[1,4,5,9,10,12,14],[1,4,6,7,8,11,14],[1,4,6,7,9,11,12],[1,5,7,8,10,11,14],[1,6,8,9,10,12,13],[2,3,7,8,9,10,11],[2,3,7,8,9,12,14],[2,4,5,6,8,13,14],[2,4,7,10,11,13,14],[2,4,9,11,12,13,14],[2,5,6,7,9,12,14],[2,5,6,8,10,11,12],[3,4,5,7,10,12,13],[3,4,6,8,9,11,13],[3,4,6,8,10,12,14],[3,5,6,7,11,12,13],[3,5,6,9,10,11,14],[4,5,7,8,9,10,13]]; G[5759]:=Group([(1,13)(3,14)(5,11)(6,10)(8,12)]); # Design 5760: autom. group order 2, simple B[5760]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,7,9,10,14],[1,3,5,10,11,12,14],[1,3,7,9,12,13,14],[1,4,5,7,8,12,14],[1,4,6,8,10,11,13],[1,4,6,9,11,13,14],[1,5,8,9,11,12,13],[1,6,7,8,9,10,12],[2,3,7,8,9,11,13],[2,3,8,10,12,13,14],[2,4,5,9,10,13,14],[2,4,6,8,11,12,14],[2,4,7,9,11,12,14],[2,5,6,7,11,12,13],[2,5,6,8,9,10,12],[3,4,5,6,9,12,13],[3,4,6,7,10,12,13],[3,4,7,8,9,10,11],[3,5,6,7,8,11,14],[3,5,6,9,10,11,14],[4,5,7,8,10,13,14]]; G[5760]:=Group([(1,12)(3,11)(5,14)(7,8)]); # Design 5761: autom. group order 2, simple, residual B[5761]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,11,12,13,14],[1,2,6,8,9,11,13],[1,3,5,7,8,11,14],[1,3,7,8,9,10,12],[1,4,5,9,10,11,13],[1,4,6,7,9,12,14],[1,4,6,8,10,12,14],[1,5,7,9,12,13,14],[1,6,7,8,10,11,13],[2,3,7,9,10,11,14],[2,3,8,9,12,13,14],[2,4,5,7,10,12,13],[2,4,6,7,9,11,14],[2,4,7,8,10,13,14],[2,5,6,7,8,11,12],[2,5,6,8,9,10,12],[3,4,5,6,8,13,14],[3,4,6,9,11,12,13],[3,4,7,8,11,12,13],[3,5,6,7,9,10,13],[3,5,6,10,11,12,14],[4,5,8,9,10,11,14]]; G[5761]:=Group([(1,12)(2,11)(5,13)(7,9)]); # Design 5762: autom. group order 2, simple, residual B[5762]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,12,13,14],[1,3,5,9,10,12,14],[1,3,7,8,11,13,14],[1,4,5,11,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,10,12,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,8,11,14],[2,4,6,8,9,12,13],[2,4,7,9,10,11,13],[2,5,7,8,10,12,14],[2,5,7,9,11,12,14],[3,4,5,7,9,12,13],[3,4,6,8,10,12,14],[3,4,7,8,9,11,14],[3,5,6,8,11,12,13],[3,5,6,9,10,11,13],[4,5,6,7,10,13,14]]; G[5762]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 5763: autom. group order 2, simple, residual B[5763]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,12,13,14],[1,3,5,9,10,12,14],[1,3,7,8,11,13,14],[1,4,5,11,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,10,12,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,8,12,14],[2,4,6,8,9,11,13],[2,4,7,9,10,11,14],[2,5,7,8,11,12,14],[2,5,7,9,10,12,13],[3,4,5,7,9,11,13],[3,4,6,8,10,12,13],[3,4,7,8,9,12,14],[3,5,6,8,10,11,14],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[5763]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 5764: autom. group order 2, simple, residual B[5764]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,12,13,14],[1,3,5,9,10,12,14],[1,3,7,8,11,13,14],[1,4,5,11,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,10,12,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,8,11,14],[2,4,6,8,9,12,13],[2,4,7,8,10,12,14],[2,5,7,9,10,11,13],[2,5,7,9,11,12,14],[3,4,5,7,9,12,13],[3,4,6,9,10,11,13],[3,4,7,8,9,11,14],[3,5,6,8,10,12,14],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[5764]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 5765: autom. group order 2, simple, residual B[5765]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,13,14],[1,3,5,9,11,12,14],[1,3,7,8,12,13,14],[1,4,5,10,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,11,12,13],[1,5,6,7,8,9,11],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,6,9,12,13],[2,4,6,8,11,12,14],[2,4,7,8,9,12,14],[2,5,7,8,10,12,13],[2,5,7,9,10,11,14],[3,4,5,7,8,10,14],[3,4,6,8,9,10,13],[3,4,7,9,10,11,13],[3,5,6,8,11,12,13],[3,5,6,9,10,12,14],[4,5,6,7,11,13,14]]; G[5765]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 5766: autom. group order 2, simple, residual B[5766]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,12,13,14],[1,3,5,9,10,12,14],[1,3,7,8,11,13,14],[1,4,5,11,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,12,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,9,11,13],[2,4,6,8,10,12,14],[2,4,7,8,9,11,14],[2,5,7,8,10,12,13],[2,5,7,9,11,12,14],[3,4,5,7,8,12,14],[3,4,6,8,9,12,13],[3,4,7,9,10,11,13],[3,5,6,8,11,12,13],[3,5,6,9,10,11,14],[4,5,6,7,10,13,14]]; G[5766]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 5767: autom. group order 2, simple, residual B[5767]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,12,13,14],[1,3,5,9,10,12,14],[1,3,7,8,11,13,14],[1,4,5,11,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,12,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,9,11,14],[2,4,6,8,10,12,13],[2,4,7,8,9,12,14],[2,5,7,8,11,12,14],[2,5,7,9,10,11,13],[3,4,5,7,8,12,13],[3,4,6,8,9,11,13],[3,4,7,9,10,11,14],[3,5,6,8,10,12,14],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[5767]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 5768: autom. group order 2, simple, residual B[5768]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,13,14],[1,3,5,9,11,12,14],[1,3,7,8,12,13,14],[1,4,5,10,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,11,12,13],[1,5,6,7,8,9,11],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,6,8,12,13],[2,4,6,9,11,12,14],[2,4,7,8,9,10,14],[2,5,7,8,11,12,14],[2,5,7,9,10,12,13],[3,4,5,7,9,10,14],[3,4,6,8,9,12,13],[3,4,7,8,10,11,13],[3,5,6,8,10,12,14],[3,5,6,9,10,11,13],[4,5,6,7,11,13,14]]; G[5768]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 5769: autom. group order 2, simple, residual B[5769]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,13,14],[1,3,5,9,11,12,14],[1,3,7,8,12,13,14],[1,4,5,10,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,11,12,13],[1,5,6,7,8,9,11],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,6,8,12,14],[2,4,6,9,11,12,13],[2,4,7,8,9,12,14],[2,5,7,8,10,12,13],[2,5,7,9,10,11,14],[3,4,5,7,9,10,13],[3,4,6,8,9,10,13],[3,4,7,8,10,11,14],[3,5,6,8,11,12,13],[3,5,6,9,10,12,14],[4,5,6,7,11,13,14]]; G[5769]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 5770: autom. group order 2, simple, residual B[5770]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,12,13,14],[1,3,5,9,10,12,14],[1,3,7,8,11,13,14],[1,4,5,11,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,12,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,8,12,14],[2,4,6,9,10,11,13],[2,4,7,8,9,11,14],[2,5,7,8,10,12,13],[2,5,7,9,11,12,14],[3,4,5,7,9,11,13],[3,4,6,8,9,12,13],[3,4,7,8,10,12,14],[3,5,6,8,11,12,13],[3,5,6,9,10,11,14],[4,5,6,7,10,13,14]]; G[5770]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 5771: autom. group order 2, simple, residual B[5771]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,9,11,12,14],[1,3,5,9,11,13,14],[1,3,7,8,11,12,14],[1,4,5,8,9,10,12],[1,4,6,9,10,13,14],[1,4,7,8,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,6,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,11,12,13],[2,5,7,8,10,11,13],[2,5,7,9,10,12,14],[3,4,5,7,12,13,14],[3,4,6,8,11,12,13],[3,4,7,9,10,11,14],[3,5,6,8,10,12,14],[3,5,6,9,10,11,13],[4,5,6,7,8,9,11]]; G[5771]:=Group([(2,3)(6,7)(8,9)]); # Design 5772: autom. group order 2, simple, residual B[5772]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,9,11,12,14],[1,3,5,9,11,13,14],[1,3,7,8,11,12,14],[1,4,5,8,9,10,12],[1,4,6,9,10,13,14],[1,4,7,8,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,6,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,11,12,13],[2,5,7,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,7,12,13,14],[3,4,6,8,11,12,13],[3,4,7,9,10,11,14],[3,5,6,8,10,11,13],[3,5,6,9,10,12,14],[4,5,6,7,8,9,11]]; G[5772]:=Group([(2,3)(6,7)(8,9)]); # Design 5773: autom. group order 2, simple, residual B[5773]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,9,11,12,14],[1,3,5,9,11,13,14],[1,3,7,8,11,12,14],[1,4,5,8,9,10,12],[1,4,6,9,10,13,14],[1,4,7,8,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,6,12,13,14],[2,4,6,8,11,12,13],[2,4,7,9,10,11,14],[2,5,7,8,10,11,13],[2,5,7,9,10,12,14],[3,4,5,7,12,13,14],[3,4,6,8,10,11,14],[3,4,7,9,11,12,13],[3,5,6,8,10,12,14],[3,5,6,9,10,11,13],[4,5,6,7,8,9,11]]; G[5773]:=Group([(2,3)(6,7)(8,9)]); # Design 5774: autom. group order 2, simple, residual B[5774]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,9,11,12,14],[1,3,5,9,11,13,14],[1,3,7,8,11,12,14],[1,4,5,8,9,10,12],[1,4,6,9,10,13,14],[1,4,7,8,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,6,12,13,14],[2,4,6,8,11,12,13],[2,4,7,9,10,11,14],[2,5,7,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,7,12,13,14],[3,4,6,8,10,11,14],[3,4,7,9,11,12,13],[3,5,6,8,10,11,13],[3,5,6,9,10,12,14],[4,5,6,7,8,9,11]]; G[5774]:=Group([(2,3)(6,7)(8,9)]); # Design 5775: autom. group order 2, simple, residual B[5775]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,9,11,12,14],[1,3,5,9,11,13,14],[1,3,7,8,11,12,14],[1,4,5,8,9,10,12],[1,4,6,9,10,13,14],[1,4,7,8,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,6,12,13,14],[2,4,6,8,10,11,14],[2,4,7,8,11,12,13],[2,5,7,9,10,11,13],[2,5,7,9,10,12,14],[3,4,5,7,12,13,14],[3,4,6,9,11,12,13],[3,4,7,9,10,11,14],[3,5,6,8,10,11,13],[3,5,6,8,10,12,14],[4,5,6,7,8,9,11]]; G[5775]:=Group([(2,3)(6,7)(8,9)]); # Design 5776: autom. group order 2, simple, residual B[5776]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,9,11,12,14],[1,3,5,9,11,13,14],[1,3,7,8,11,12,14],[1,4,5,8,9,10,12],[1,4,6,9,10,13,14],[1,4,7,8,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,6,12,13,14],[2,4,6,8,11,12,13],[2,4,7,8,10,11,14],[2,5,7,9,10,11,13],[2,5,7,9,10,12,14],[3,4,5,7,12,13,14],[3,4,6,9,10,11,14],[3,4,7,9,11,12,13],[3,5,6,8,10,11,13],[3,5,6,8,10,12,14],[4,5,6,7,8,9,11]]; G[5776]:=Group([(2,3)(6,7)(8,9)]); # Design 5777: autom. group order 2, simple, residual B[5777]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,13],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,6,10,13,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,14],[2,5,7,8,9,10,14],[2,5,7,9,11,12,13],[3,4,5,7,12,13,14],[3,4,6,8,10,11,13],[3,4,7,9,10,11,14],[3,5,6,8,9,12,13],[3,5,6,9,10,11,14],[4,5,6,7,8,10,12]]; G[5777]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 5778: autom. group order 2, simple, residual B[5778]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,13],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,6,10,13,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,13],[2,5,7,8,9,12,14],[2,5,7,9,10,11,14],[3,4,5,7,12,13,14],[3,4,6,8,10,11,14],[3,4,7,9,10,11,14],[3,5,6,8,9,10,13],[3,5,6,9,11,12,13],[4,5,6,7,8,10,12]]; G[5778]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 5779: autom. group order 2, simple, residual B[5779]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,13],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,6,10,13,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,14],[2,5,7,8,9,12,13],[2,5,7,9,10,11,14],[3,4,5,7,12,13,14],[3,4,6,8,10,11,13],[3,4,7,9,10,11,14],[3,5,6,8,9,10,14],[3,5,6,9,11,12,13],[4,5,6,7,8,10,12]]; G[5779]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 5780: autom. group order 2, simple, residual B[5780]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,13],[1,3,5,8,11,12,14],[1,3,7,9,10,12,14],[1,4,5,9,11,13,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,13],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,6,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,11,12,13],[2,5,7,8,9,10,14],[2,5,7,9,11,12,14],[3,4,5,7,10,13,14],[3,4,6,8,10,11,14],[3,4,7,9,11,12,13],[3,5,6,8,9,12,13],[3,5,6,9,10,11,13],[4,5,6,7,8,10,12]]; G[5780]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 5781: autom. group order 2, simple, residual B[5781]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,13],[1,3,5,8,11,12,14],[1,3,7,9,10,12,14],[1,4,5,9,11,13,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,13],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,6,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,11,12,14],[2,5,7,8,9,10,14],[2,5,7,9,11,12,13],[3,4,5,7,10,13,14],[3,4,6,8,10,11,13],[3,4,7,9,11,12,13],[3,5,6,8,9,12,13],[3,5,6,9,10,11,14],[4,5,6,7,8,10,12]]; G[5781]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 5782: autom. group order 2, simple, residual B[5782]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,13],[1,3,5,8,11,12,14],[1,3,7,9,10,12,14],[1,4,5,9,11,13,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,13],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,6,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,11,12,13],[2,5,7,8,9,12,14],[2,5,7,9,10,11,14],[3,4,5,7,10,13,14],[3,4,6,8,10,11,14],[3,4,7,9,11,12,13],[3,5,6,8,9,10,13],[3,5,6,9,11,12,13],[4,5,6,7,8,10,12]]; G[5782]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 5783: autom. group order 2, simple, residual B[5783]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,13],[1,3,5,8,11,12,14],[1,3,7,9,10,12,14],[1,4,5,9,11,13,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,13],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,6,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,11,12,14],[2,5,7,8,9,12,13],[2,5,7,9,10,11,14],[3,4,5,7,10,13,14],[3,4,6,8,10,11,13],[3,4,7,9,11,12,13],[3,5,6,8,9,10,14],[3,5,6,9,11,12,13],[4,5,6,7,8,10,12]]; G[5783]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 5784: autom. group order 2, simple, residual B[5784]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,13],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,6,10,13,14],[2,4,6,8,11,12,13],[2,4,7,9,11,12,14],[2,5,7,8,9,10,14],[2,5,7,9,11,12,13],[3,4,5,7,12,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,14],[3,5,6,8,9,12,13],[3,5,6,9,10,11,14],[4,5,6,7,8,10,12]]; G[5784]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 5785: autom. group order 2, simple, residual B[5785]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,13],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,6,10,13,14],[2,4,6,8,11,12,13],[2,4,7,9,11,12,13],[2,5,7,8,9,12,14],[2,5,7,9,10,11,14],[3,4,5,7,12,13,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,14],[3,5,6,8,9,10,13],[3,5,6,9,11,12,13],[4,5,6,7,8,10,12]]; G[5785]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 5786: autom. group order 2, simple, residual B[5786]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,13],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,6,10,13,14],[2,4,6,8,11,12,13],[2,4,7,9,11,12,14],[2,5,7,8,9,12,13],[2,5,7,9,10,11,14],[3,4,5,7,12,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,14],[3,5,6,8,9,10,14],[3,5,6,9,11,12,13],[4,5,6,7,8,10,12]]; G[5786]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 5787: autom. group order 2, simple, residual B[5787]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,13],[1,3,5,8,11,12,14],[1,3,7,9,10,12,14],[1,4,5,9,11,13,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,13],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,6,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,11,12,13],[2,5,7,8,9,10,14],[2,5,7,9,11,12,14],[3,4,5,7,10,13,14],[3,4,6,9,10,11,14],[3,4,7,8,11,12,13],[3,5,6,8,9,12,13],[3,5,6,9,10,11,13],[4,5,6,7,8,10,12]]; G[5787]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 5788: autom. group order 2, simple, residual B[5788]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,13],[1,3,5,8,11,12,14],[1,3,7,9,10,12,14],[1,4,5,9,11,13,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,13],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,6,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,11,12,14],[2,5,7,8,9,10,14],[2,5,7,9,11,12,13],[3,4,5,7,10,13,14],[3,4,6,9,10,11,13],[3,4,7,8,11,12,13],[3,5,6,8,9,12,13],[3,5,6,9,10,11,14],[4,5,6,7,8,10,12]]; G[5788]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 5789: autom. group order 2, simple, residual B[5789]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,13],[1,3,5,8,11,12,14],[1,3,7,9,10,12,14],[1,4,5,9,11,13,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,13],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,6,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,11,12,13],[2,5,7,8,9,12,14],[2,5,7,9,10,11,14],[3,4,5,7,10,13,14],[3,4,6,9,10,11,14],[3,4,7,8,11,12,13],[3,5,6,8,9,10,13],[3,5,6,9,11,12,13],[4,5,6,7,8,10,12]]; G[5789]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 5790: autom. group order 2, simple, residual B[5790]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,10,13,14],[1,3,5,9,11,12,14],[1,3,7,9,12,13,14],[1,4,5,10,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,11,12,13],[1,5,6,7,8,9,11],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,6,9,12,13],[2,4,6,8,9,12,14],[2,4,7,9,10,11,14],[2,5,7,8,11,12,14],[2,5,7,9,10,12,13],[3,4,5,7,8,10,14],[3,4,6,8,11,12,13],[3,4,7,8,9,10,13],[3,5,6,8,10,12,14],[3,5,6,9,10,11,13],[4,5,6,7,11,13,14]]; G[5790]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 5791: autom. group order 2, simple, residual B[5791]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,12,13,14],[1,3,5,9,10,12,14],[1,3,7,9,11,13,14],[1,4,5,11,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,10,12,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,9,12,13],[2,4,6,8,9,11,14],[2,4,7,9,10,11,13],[2,5,7,8,11,12,14],[2,5,7,9,10,12,14],[3,4,5,7,8,11,14],[3,4,6,8,10,12,14],[3,4,7,8,9,12,13],[3,5,6,8,10,11,13],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[5791]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 5792: autom. group order 2, simple, residual B[5792]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,12,13,14],[1,3,5,9,10,12,14],[1,3,7,9,11,13,14],[1,4,5,11,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,10,12,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,9,12,13],[2,4,6,8,9,11,14],[2,4,7,9,10,12,14],[2,5,7,8,11,12,14],[2,5,7,9,10,11,13],[3,4,5,7,8,11,14],[3,4,6,8,10,11,13],[3,4,7,8,9,12,13],[3,5,6,8,10,12,14],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[5792]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 5793: autom. group order 2, simple, residual B[5793]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,10,13,14],[1,3,5,9,11,12,14],[1,3,7,9,12,13,14],[1,4,5,10,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,11,12,13],[1,5,6,7,8,9,11],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,6,9,12,13],[2,4,6,8,9,12,14],[2,4,7,8,11,12,14],[2,5,7,9,10,11,14],[2,5,7,9,10,12,13],[3,4,5,7,8,10,14],[3,4,6,9,10,11,13],[3,4,7,8,9,10,13],[3,5,6,8,10,12,14],[3,5,6,8,11,12,13],[4,5,6,7,11,13,14]]; G[5793]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 5794: autom. group order 2, simple, residual B[5794]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,12,13,14],[1,3,5,9,10,12,14],[1,3,7,9,11,13,14],[1,4,5,11,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,10,12,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,9,11,13],[2,4,6,8,9,12,14],[2,4,7,8,10,11,14],[2,5,7,9,10,12,13],[2,5,7,9,11,12,14],[3,4,5,7,8,12,14],[3,4,6,9,10,12,13],[3,4,7,8,9,11,13],[3,5,6,8,10,11,14],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[5794]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 5795: autom. group order 2, simple, residual B[5795]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,12,13,14],[1,3,5,9,10,12,14],[1,3,7,9,11,13,14],[1,4,5,11,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,12,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,9,11,14],[2,4,6,9,10,12,13],[2,4,7,8,9,11,13],[2,5,7,8,10,12,14],[2,5,7,9,11,12,14],[3,4,5,7,8,12,13],[3,4,6,8,9,12,14],[3,4,7,8,10,11,14],[3,5,6,8,11,12,13],[3,5,6,9,10,11,13],[4,5,6,7,10,13,14]]; G[5795]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 5796: autom. group order 2, simple, residual B[5796]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,12,13,14],[1,3,5,9,10,12,14],[1,3,7,9,11,13,14],[1,4,5,11,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,12,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,9,11,13],[2,4,6,9,10,12,14],[2,4,7,8,9,12,13],[2,5,7,8,11,12,14],[2,5,7,9,10,11,14],[3,4,5,7,8,12,14],[3,4,6,8,9,11,14],[3,4,7,8,10,11,13],[3,5,6,8,10,12,13],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[5796]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 5797: autom. group order 2, simple, residual B[5797]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,11,12,14],[1,3,5,9,11,13,14],[1,3,7,9,11,12,14],[1,4,5,8,9,10,12],[1,4,6,9,10,13,14],[1,4,7,8,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,6,12,13,14],[2,4,6,9,10,11,14],[2,4,7,9,11,12,13],[2,5,7,8,10,11,13],[2,5,7,9,10,12,14],[3,4,5,7,12,13,14],[3,4,6,8,11,12,13],[3,4,7,8,10,11,14],[3,5,6,8,10,12,14],[3,5,6,9,10,11,13],[4,5,6,7,8,9,11]]; G[5797]:=Group([(2,3)(6,7)(8,9)]); # Design 5798: autom. group order 2, simple, residual B[5798]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,11,12,14],[1,3,5,9,11,13,14],[1,3,7,9,11,12,14],[1,4,5,8,9,10,12],[1,4,6,9,10,13,14],[1,4,7,8,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,6,12,13,14],[2,4,6,9,10,11,14],[2,4,7,9,11,12,13],[2,5,7,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,7,12,13,14],[3,4,6,8,11,12,13],[3,4,7,8,10,11,14],[3,5,6,8,10,11,13],[3,5,6,9,10,12,14],[4,5,6,7,8,9,11]]; G[5798]:=Group([(2,3)(6,7)(8,9)]); # Design 5799: autom. group order 2, simple, residual B[5799]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,11,12,14],[1,3,5,9,11,13,14],[1,3,7,9,11,12,14],[1,4,5,8,9,10,12],[1,4,6,9,10,13,14],[1,4,7,8,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,6,12,13,14],[2,4,6,9,11,12,13],[2,4,7,9,10,11,14],[2,5,7,8,10,11,13],[2,5,7,9,10,12,14],[3,4,5,7,12,13,14],[3,4,6,8,10,11,14],[3,4,7,8,11,12,13],[3,5,6,8,10,12,14],[3,5,6,9,10,11,13],[4,5,6,7,8,9,11]]; G[5799]:=Group([(2,3)(6,7)(8,9)]); # Design 5800: autom. group order 2, simple, residual B[5800]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,11,12,14],[1,3,5,9,11,13,14],[1,3,7,9,11,12,14],[1,4,5,8,9,10,12],[1,4,6,9,10,13,14],[1,4,7,8,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,6,12,13,14],[2,4,6,9,11,12,13],[2,4,7,9,10,11,14],[2,5,7,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,7,12,13,14],[3,4,6,8,10,11,14],[3,4,7,8,11,12,13],[3,5,6,8,10,11,13],[3,5,6,9,10,12,14],[4,5,6,7,8,9,11]]; G[5800]:=Group([(2,3)(6,7)(8,9)]); # Design 5801: autom. group order 2, simple, residual B[5801]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,11,12,14],[1,3,5,9,11,13,14],[1,3,7,9,11,12,14],[1,4,5,8,9,10,12],[1,4,6,9,10,13,14],[1,4,7,8,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,6,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,11,12,13],[2,5,7,9,10,11,13],[2,5,7,9,10,12,14],[3,4,5,7,12,13,14],[3,4,6,9,11,12,13],[3,4,7,8,10,11,14],[3,5,6,8,10,11,13],[3,5,6,8,10,12,14],[4,5,6,7,8,9,11]]; G[5801]:=Group([(2,3)(6,7)(8,9)]); # Design 5802: autom. group order 2, simple, residual B[5802]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,11,12,14],[1,3,5,9,11,13,14],[1,3,7,9,11,12,14],[1,4,5,8,9,10,12],[1,4,6,9,10,13,14],[1,4,7,8,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,6,12,13,14],[2,4,6,9,11,12,13],[2,4,7,8,10,11,14],[2,5,7,9,10,11,13],[2,5,7,9,10,12,14],[3,4,5,7,12,13,14],[3,4,6,9,10,11,14],[3,4,7,8,11,12,13],[3,5,6,8,10,11,13],[3,5,6,8,10,12,14],[4,5,6,7,8,9,11]]; G[5802]:=Group([(2,3)(6,7)(8,9)]); # Design 5803: autom. group order 2, simple B[5803]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,10,14],[1,3,5,9,11,12,14],[1,3,7,8,9,12,13],[1,4,5,10,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,11,12,14],[1,5,6,7,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,6,9,12,14],[2,4,6,8,11,12,13],[2,4,7,9,10,13,14],[2,5,7,8,10,12,14],[2,5,7,9,11,12,13],[3,4,5,7,8,10,13],[3,4,6,8,12,13,14],[3,4,7,9,10,11,14],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13],[4,5,6,7,8,9,11]]; G[5803]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 5804: autom. group order 2, simple B[5804]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,10,14],[1,3,5,9,11,12,14],[1,3,7,8,9,12,13],[1,4,5,10,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,11,12,13],[1,5,6,7,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,6,9,12,13],[2,4,6,8,12,13,14],[2,4,7,9,10,11,13],[2,5,7,8,10,12,14],[2,5,7,9,11,12,14],[3,4,5,7,8,10,14],[3,4,6,8,11,12,14],[3,4,7,9,10,13,14],[3,5,6,8,10,11,13],[3,5,6,9,10,12,13],[4,5,6,7,8,9,11]]; G[5804]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 5805: autom. group order 2, simple B[5805]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,10,14],[1,3,5,9,11,12,14],[1,3,7,8,9,12,13],[1,4,5,10,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,11,12,14],[1,5,6,7,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,6,9,12,13],[2,4,6,8,11,12,14],[2,4,7,9,12,13,14],[2,5,7,8,10,12,13],[2,5,7,9,10,11,14],[3,4,5,7,8,10,14],[3,4,6,8,10,13,14],[3,4,7,9,10,11,13],[3,5,6,8,11,12,13],[3,5,6,9,10,12,14],[4,5,6,7,8,9,11]]; G[5805]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 5806: autom. group order 2, simple B[5806]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,10,14],[1,3,5,9,11,12,14],[1,3,7,8,9,12,13],[1,4,5,10,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,11,12,13],[1,5,6,7,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,6,9,12,13],[2,4,6,8,12,13,14],[2,4,7,9,11,12,14],[2,5,7,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,7,8,10,14],[3,4,6,8,10,11,13],[3,4,7,9,10,13,14],[3,5,6,8,11,12,14],[3,5,6,9,10,12,13],[4,5,6,7,8,9,11]]; G[5806]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 5807: autom. group order 2, simple B[5807]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,12,14],[1,3,5,9,10,12,14],[1,3,7,8,9,11,13],[1,4,5,11,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,12,14],[1,5,6,7,10,13,14],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,9,11,14],[2,4,6,8,10,12,13],[2,4,7,9,12,13,14],[2,5,7,8,10,11,14],[2,5,7,9,11,12,13],[3,4,5,7,8,12,13],[3,4,6,8,11,13,14],[3,4,7,9,10,11,14],[3,5,6,8,11,12,14],[3,5,6,9,10,12,13],[4,5,6,7,8,9,10]]; G[5807]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 5808: autom. group order 2, simple B[5808]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,12,14],[1,3,5,9,10,12,14],[1,3,7,8,9,11,13],[1,4,5,11,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,12,14],[1,5,6,7,10,13,14],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,9,12,13],[2,4,6,8,10,11,14],[2,4,7,9,11,13,14],[2,5,7,8,10,12,13],[2,5,7,9,11,12,14],[3,4,5,7,8,11,14],[3,4,6,8,12,13,14],[3,4,7,9,10,12,13],[3,5,6,8,11,12,13],[3,5,6,9,10,11,14],[4,5,6,7,8,9,10]]; G[5808]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 5809: autom. group order 2, simple B[5809]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,12,14],[1,3,5,9,10,12,14],[1,3,7,8,9,11,13],[1,4,5,11,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,10,12,13],[1,5,6,7,10,13,14],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,9,11,13],[2,4,6,8,12,13,14],[2,4,7,9,10,12,13],[2,5,7,8,10,11,14],[2,5,7,9,11,12,14],[3,4,5,7,8,12,14],[3,4,6,8,10,11,14],[3,4,7,9,11,13,14],[3,5,6,8,11,12,13],[3,5,6,9,10,12,13],[4,5,6,7,8,9,10]]; G[5809]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 5810: autom. group order 2, simple B[5810]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,12,13],[1,3,5,9,10,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,12,14],[1,5,6,7,10,13,14],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,9,11,14],[2,4,6,8,10,12,14],[2,4,7,8,11,13,14],[2,5,7,9,10,12,13],[2,5,7,9,11,12,14],[3,4,5,7,8,12,13],[3,4,6,9,12,13,14],[3,4,7,9,10,11,13],[3,5,6,8,10,11,14],[3,5,6,8,11,12,13],[4,5,6,7,8,9,10]]; G[5810]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 5811: autom. group order 2, simple B[5811]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,12,14],[1,3,5,9,10,12,14],[1,3,7,8,9,11,13],[1,4,5,11,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,10,12,13],[1,5,6,7,10,13,14],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,9,11,13],[2,4,6,8,12,13,14],[2,4,7,8,10,11,14],[2,5,7,9,10,12,13],[2,5,7,9,11,12,14],[3,4,5,7,8,12,14],[3,4,6,9,10,12,13],[3,4,7,9,11,13,14],[3,5,6,8,10,11,14],[3,5,6,8,11,12,13],[4,5,6,7,8,9,10]]; G[5811]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 5812: autom. group order 2, simple B[5812]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,10,14],[1,3,5,9,11,12,14],[1,3,7,8,9,12,13],[1,4,5,10,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,11,12,14],[1,5,6,7,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,6,8,12,13],[2,4,6,9,11,12,14],[2,4,7,9,10,13,14],[2,5,7,8,10,12,14],[2,5,7,9,11,12,13],[3,4,5,7,9,10,14],[3,4,6,8,12,13,14],[3,4,7,8,10,11,13],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13],[4,5,6,7,8,9,11]]; G[5812]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 5813: autom. group order 2, simple B[5813]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,10,13],[1,3,5,9,11,12,14],[1,3,7,8,9,12,14],[1,4,5,10,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,11,12,13],[1,5,6,7,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,6,8,12,14],[2,4,6,9,12,13,14],[2,4,7,9,10,11,14],[2,5,7,8,10,12,14],[2,5,7,9,11,12,13],[3,4,5,7,9,10,13],[3,4,6,8,11,12,13],[3,4,7,8,10,13,14],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13],[4,5,6,7,8,9,11]]; G[5813]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 5814: autom. group order 2, simple B[5814]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,10,14],[1,3,5,9,11,12,14],[1,3,7,8,9,12,13],[1,4,5,10,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,11,12,14],[1,5,6,7,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,6,8,12,14],[2,4,6,9,11,12,13],[2,4,7,9,12,13,14],[2,5,7,8,10,12,13],[2,5,7,9,10,11,14],[3,4,5,7,9,10,13],[3,4,6,8,10,13,14],[3,4,7,8,10,11,14],[3,5,6,8,11,12,13],[3,5,6,9,10,12,14],[4,5,6,7,8,9,11]]; G[5814]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 5815: autom. group order 2, simple B[5815]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,10,13],[1,3,5,9,11,12,14],[1,3,7,8,9,12,14],[1,4,5,10,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,11,12,13],[1,5,6,7,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,6,8,12,14],[2,4,6,9,12,13,14],[2,4,7,9,11,12,13],[2,5,7,8,10,12,14],[2,5,7,9,10,11,14],[3,4,5,7,9,10,13],[3,4,6,8,10,11,14],[3,4,7,8,10,13,14],[3,5,6,8,11,12,13],[3,5,6,9,10,12,13],[4,5,6,7,8,9,11]]; G[5815]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 5816: autom. group order 2, simple B[5816]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,12,14],[1,3,5,9,10,12,14],[1,3,7,8,9,11,13],[1,4,5,11,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,12,14],[1,5,6,7,10,13,14],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,8,11,14],[2,4,6,9,10,12,13],[2,4,7,9,11,13,14],[2,5,7,8,10,12,13],[2,5,7,9,11,12,14],[3,4,5,7,9,12,13],[3,4,6,8,12,13,14],[3,4,7,8,10,11,14],[3,5,6,8,11,12,13],[3,5,6,9,10,11,14],[4,5,6,7,8,9,10]]; G[5816]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 5817: autom. group order 2, simple B[5817]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,12,13],[1,3,5,9,10,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,10,12,13],[1,5,6,7,10,13,14],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,8,11,14],[2,4,6,9,12,13,14],[2,4,7,9,10,11,13],[2,5,7,8,10,12,14],[2,5,7,9,11,12,14],[3,4,5,7,9,12,13],[3,4,6,8,10,12,14],[3,4,7,8,11,13,14],[3,5,6,8,11,12,13],[3,5,6,9,10,11,13],[4,5,6,7,8,9,10]]; G[5817]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 5818: autom. group order 2, simple B[5818]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,12,13],[1,3,5,9,10,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,10,12,13],[1,5,6,7,10,13,14],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,8,12,14],[2,4,6,9,11,13,14],[2,4,7,9,10,12,14],[2,5,7,8,10,11,14],[2,5,7,9,11,12,13],[3,4,5,7,9,11,13],[3,4,6,8,10,11,13],[3,4,7,8,12,13,14],[3,5,6,8,11,12,14],[3,5,6,9,10,12,13],[4,5,6,7,8,9,10]]; G[5818]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 5819: autom. group order 2, simple B[5819]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,12,13],[1,3,5,9,10,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,12,14],[1,5,6,7,10,13,14],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,8,11,14],[2,4,6,9,10,12,14],[2,4,7,8,12,13,14],[2,5,7,9,10,11,14],[2,5,7,9,11,12,13],[3,4,5,7,9,12,13],[3,4,6,9,11,13,14],[3,4,7,8,10,11,13],[3,5,6,8,10,12,13],[3,5,6,8,11,12,14],[4,5,6,7,8,9,10]]; G[5819]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 5820: autom. group order 2, simple B[5820]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,12,13],[1,3,5,9,10,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,12,14],[1,5,6,7,10,13,14],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,8,12,14],[2,4,6,9,10,11,14],[2,4,7,8,11,13,14],[2,5,7,9,10,12,13],[2,5,7,9,11,12,14],[3,4,5,7,9,11,13],[3,4,6,9,12,13,14],[3,4,7,8,10,12,13],[3,5,6,8,10,11,14],[3,5,6,8,11,12,13],[4,5,6,7,8,9,10]]; G[5820]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 5821: autom. group order 2, simple, residual B[5821]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,7,9,12,14],[1,3,5,7,12,13,14],[1,3,9,10,12,13,14],[1,4,5,8,11,13,14],[1,4,6,9,10,11,14],[1,4,7,8,11,12,13],[1,5,6,8,9,10,13],[1,6,7,8,9,11,12],[2,3,6,8,11,13,14],[2,3,7,8,9,11,14],[2,4,5,6,9,12,13],[2,4,6,8,12,13,14],[2,4,7,9,10,13,14],[2,5,7,10,11,12,13],[2,5,8,9,10,11,12],[3,4,5,9,11,12,14],[3,4,6,7,8,10,12],[3,4,7,8,9,10,13],[3,5,6,7,9,11,13],[3,5,6,8,10,12,14],[4,5,6,7,10,11,14]]; G[5821]:=Group([(1,10)(3,11)(4,12)(6,13)]); # Design 5822: autom. group order 2, simple, residual B[5822]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,7,9,12,14],[1,3,5,7,12,13,14],[1,3,8,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,9,10,11,14],[1,4,7,8,11,12,13],[1,5,6,8,10,13,14],[1,6,7,8,9,11,12],[2,3,6,8,11,13,14],[2,3,7,8,9,11,14],[2,4,5,6,9,12,13],[2,4,6,8,12,13,14],[2,4,7,8,9,10,13],[2,5,7,10,11,12,13],[2,5,9,10,11,12,14],[3,4,5,8,11,12,14],[3,4,6,7,10,12,14],[3,4,7,9,10,13,14],[3,5,6,7,9,11,13],[3,5,6,8,9,10,12],[4,5,6,7,8,10,11]]; G[5822]:=Group([(1,10)(3,11)(4,12)(6,13)(8,14)]); # Design 5823: autom. group order 2, simple, residual B[5823]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,7,9,12,14],[1,3,5,8,9,12,13],[1,3,7,10,12,13,14],[1,4,5,9,11,13,14],[1,4,6,8,10,11,14],[1,4,7,9,11,12,13],[1,5,6,8,11,12,14],[1,6,7,8,9,10,13],[2,3,6,9,11,13,14],[2,3,7,8,9,11,14],[2,4,5,6,12,13,14],[2,4,6,7,8,12,13],[2,4,8,9,10,13,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,7,10,13,14],[3,4,6,8,9,10,12],[3,4,7,8,11,12,14],[3,5,6,7,8,11,13],[3,5,6,9,10,12,14],[4,5,6,7,9,10,11]]; G[5823]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 5824: autom. group order 2, simple, residual B[5824]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,7,9,12,14],[1,3,5,8,12,13,14],[1,3,7,10,12,13,14],[1,4,5,9,11,13,14],[1,4,6,8,10,11,14],[1,4,7,9,11,12,13],[1,5,6,8,9,11,12],[1,6,7,8,9,10,13],[2,3,6,9,11,13,14],[2,3,7,8,9,11,14],[2,4,5,6,12,13,14],[2,4,6,7,8,12,13],[2,4,8,9,10,13,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,7,9,10,13],[3,4,6,8,9,10,12],[3,4,7,8,11,12,14],[3,5,6,7,8,11,13],[3,5,6,9,10,12,14],[4,5,6,7,10,11,14]]; G[5824]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 5825: autom. group order 2, simple, residual B[5825]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,6,7,8,10,14],[1,3,5,8,12,13,14],[1,3,7,9,10,11,14],[1,4,5,9,10,13,14],[1,4,6,8,11,12,13],[1,4,7,9,11,12,14],[1,5,6,8,9,10,12],[1,6,7,8,9,11,13],[2,3,6,8,9,12,14],[2,3,8,9,11,13,14],[2,4,5,6,9,11,14],[2,4,6,7,9,12,13],[2,4,7,8,10,13,14],[2,5,7,8,10,11,12],[2,5,9,10,11,12,13],[3,4,5,7,8,11,13],[3,4,6,10,12,13,14],[3,4,7,8,9,10,12],[3,5,6,7,9,10,13],[3,5,6,7,11,12,14],[4,5,6,8,10,11,14]]; G[5825]:=Group([(1,11)(3,10)(4,12)(6,13)(7,9)]); # Design 5826: autom. group order 2, simple, residual B[5826]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,6,7,8,10,14],[1,3,5,8,12,13,14],[1,3,7,9,10,11,14],[1,4,5,8,9,10,13],[1,4,6,8,11,12,13],[1,4,7,9,11,12,14],[1,5,6,9,10,12,14],[1,6,7,8,9,11,13],[2,3,6,8,9,12,14],[2,3,8,9,11,13,14],[2,4,5,6,9,11,14],[2,4,6,7,9,12,13],[2,4,7,8,10,13,14],[2,5,7,8,10,11,12],[2,5,9,10,11,12,13],[3,4,5,7,11,13,14],[3,4,6,10,12,13,14],[3,4,7,8,9,10,12],[3,5,6,7,8,11,12],[3,5,6,7,9,10,13],[4,5,6,8,10,11,14]]; G[5826]:=Group([(1,11)(3,10)(4,12)(6,13)(7,9)]); # Design 5827: autom. group order 2, simple, residual B[5827]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,7,9,11,14],[1,3,5,9,12,13,14],[1,3,7,11,12,13,14],[1,4,5,8,9,11,13],[1,4,6,9,10,12,13],[1,4,7,8,10,12,14],[1,5,6,8,11,12,14],[1,6,7,8,9,10,13],[2,3,6,8,9,12,14],[2,3,8,9,10,13,14],[2,4,5,6,12,13,14],[2,4,6,7,8,12,13],[2,4,7,9,11,13,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,7,10,13,14],[3,4,6,8,10,11,14],[3,4,7,8,9,11,12],[3,5,6,7,8,11,13],[3,5,6,7,9,10,12],[4,5,6,9,10,11,14]]; G[5827]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 5828: autom. group order 2, simple, residual B[5828]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,7,9,11,14],[1,3,5,9,12,13,14],[1,3,7,11,12,13,14],[1,4,5,8,11,13,14],[1,4,6,9,10,12,13],[1,4,7,8,10,12,14],[1,5,6,8,9,11,12],[1,6,7,8,9,10,13],[2,3,6,8,9,12,14],[2,3,8,9,10,13,14],[2,4,5,6,12,13,14],[2,4,6,7,8,12,13],[2,4,7,9,11,13,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,7,9,10,13],[3,4,6,8,10,11,14],[3,4,7,8,9,11,12],[3,5,6,7,8,11,13],[3,5,6,7,10,12,14],[4,5,6,9,10,11,14]]; G[5828]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 5829: autom. group order 2, simple, residual B[5829]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,7,9,12,14],[1,3,5,9,12,13,14],[1,3,8,9,10,12,13],[1,4,5,7,11,13,14],[1,4,6,9,10,11,14],[1,4,7,8,11,12,13],[1,5,6,8,10,13,14],[1,6,7,8,9,11,12],[2,3,6,8,11,13,14],[2,3,7,8,9,11,14],[2,4,5,6,9,12,13],[2,4,6,8,12,13,14],[2,4,7,8,9,10,13],[2,5,7,10,11,12,13],[2,5,9,10,11,12,14],[3,4,5,8,11,12,14],[3,4,6,7,10,12,14],[3,4,7,9,10,13,14],[3,5,6,7,8,10,12],[3,5,6,7,9,11,13],[4,5,6,8,9,10,11]]; G[5829]:=Group([(1,10)(3,11)(4,12)(6,13)(8,14)]); # Design 5830: autom. group order 2, simple, residual B[5830]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,7,9,12,14],[1,3,5,8,12,13,14],[1,3,9,10,12,13,14],[1,4,5,7,11,13,14],[1,4,6,9,10,11,14],[1,4,7,8,11,12,13],[1,5,6,8,9,10,13],[1,6,7,8,9,11,12],[2,3,6,8,11,13,14],[2,3,7,8,9,11,14],[2,4,5,6,9,12,13],[2,4,6,8,12,13,14],[2,4,7,9,10,13,14],[2,5,7,10,11,12,13],[2,5,8,9,10,11,12],[3,4,5,9,11,12,14],[3,4,6,7,8,10,12],[3,4,7,8,9,10,13],[3,5,6,7,9,11,13],[3,5,6,7,10,12,14],[4,5,6,8,10,11,14]]; G[5830]:=Group([(1,10)(3,11)(4,12)(6,13)]); # Design 5831: autom. group order 2, simple, residual B[5831]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,12,13],[1,3,5,7,11,12,14],[1,3,8,9,10,12,14],[1,4,5,9,12,13,14],[1,4,6,7,9,10,11],[1,4,7,8,10,13,14],[1,5,6,10,11,12,13],[1,6,7,8,9,11,14],[2,3,6,7,9,12,14],[2,3,7,9,10,11,13],[2,4,5,6,8,10,14],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,7,9,10,13,14],[2,5,8,9,10,11,12],[3,4,5,9,11,13,14],[3,4,6,8,9,11,13],[3,4,7,8,10,12,13],[3,5,6,7,8,12,13],[3,5,6,8,10,11,14],[4,5,6,7,9,10,12]]; G[5831]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 5832: autom. group order 2, simple, residual B[5832]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,8,9,12,14],[1,3,5,7,9,12,13],[1,3,8,10,12,13,14],[1,4,5,8,11,13,14],[1,4,6,7,10,11,14],[1,4,7,9,11,12,13],[1,5,6,9,11,12,14],[1,6,7,8,9,10,13],[2,3,6,9,11,13,14],[2,3,7,8,9,11,14],[2,4,5,6,12,13,14],[2,4,6,7,8,12,13],[2,4,7,9,10,13,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,9,10,13,14],[3,4,6,8,9,10,12],[3,4,7,8,11,12,14],[3,5,6,7,8,11,13],[3,5,6,7,10,12,14],[4,5,6,8,9,10,11]]; G[5832]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 5833: autom. group order 2, simple, residual B[5833]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,8,9,12,14],[1,3,5,7,12,13,14],[1,3,8,10,12,13,14],[1,4,5,8,9,11,13],[1,4,6,7,10,11,14],[1,4,7,9,11,12,13],[1,5,6,9,11,12,14],[1,6,7,8,9,10,13],[2,3,6,9,11,13,14],[2,3,7,8,9,11,14],[2,4,5,6,12,13,14],[2,4,6,7,8,12,13],[2,4,7,9,10,13,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,9,10,13,14],[3,4,6,8,9,10,12],[3,4,7,8,11,12,14],[3,5,6,7,8,11,13],[3,5,6,7,9,10,12],[4,5,6,8,10,11,14]]; G[5833]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 5834: autom. group order 2, simple B[5834]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,9,10,13,14],[1,3,5,7,9,12,13],[1,3,8,11,12,13,14],[1,4,5,9,11,13,14],[1,4,6,8,9,11,12],[1,4,7,8,10,12,14],[1,5,6,7,11,12,14],[1,6,7,8,9,10,13],[2,3,6,8,9,12,14],[2,3,7,8,9,11,14],[2,4,5,6,12,13,14],[2,4,6,7,8,12,13],[2,4,7,9,11,13,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,8,10,13,14],[3,4,6,7,10,11,14],[3,4,7,9,10,12,13],[3,5,6,7,8,11,13],[3,5,6,9,10,12,14],[4,5,6,8,9,10,11]]; G[5834]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 5835: autom. group order 2, simple B[5835]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,9,10,13,14],[1,3,5,7,12,13,14],[1,3,8,11,12,13,14],[1,4,5,9,11,13,14],[1,4,6,8,9,11,12],[1,4,7,8,10,12,14],[1,5,6,7,9,11,12],[1,6,7,8,9,10,13],[2,3,6,8,9,12,14],[2,3,7,8,9,11,14],[2,4,5,6,12,13,14],[2,4,6,7,8,12,13],[2,4,7,9,11,13,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,8,9,10,13],[3,4,6,7,10,11,14],[3,4,7,9,10,12,13],[3,5,6,7,8,11,13],[3,5,6,9,10,12,14],[4,5,6,8,10,11,14]]; G[5835]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 5836: autom. group order 2, simple, residual B[5836]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,8,9,11,14],[1,3,5,7,9,12,13],[1,3,8,11,12,13,14],[1,4,5,9,11,13,14],[1,4,6,9,10,12,13],[1,4,7,8,10,12,14],[1,5,6,7,11,12,14],[1,6,7,8,9,10,13],[2,3,6,8,9,12,14],[2,3,7,9,10,13,14],[2,4,5,6,12,13,14],[2,4,6,7,8,12,13],[2,4,7,9,11,13,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,8,10,13,14],[3,4,6,7,10,11,14],[3,4,7,8,9,11,12],[3,5,6,7,8,11,13],[3,5,6,9,10,12,14],[4,5,6,8,9,10,11]]; G[5836]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 5837: autom. group order 2, simple B[5837]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,6,9,10,11,13],[1,3,5,9,10,12,14],[1,3,7,9,11,12,14],[1,4,5,7,8,12,13],[1,4,6,7,11,12,13],[1,4,8,9,10,11,13],[1,5,6,8,10,11,14],[1,6,7,8,9,12,14],[2,3,6,8,9,12,13],[2,3,7,8,10,11,12],[2,4,5,6,11,12,14],[2,4,6,7,9,10,14],[2,4,7,8,9,11,14],[2,5,7,9,10,12,13],[2,5,8,11,12,13,14],[3,4,5,9,11,13,14],[3,4,6,10,12,13,14],[3,4,7,8,10,13,14],[3,5,6,7,8,10,11],[3,5,6,7,9,11,13],[4,5,6,8,9,10,12]]; G[5837]:=Group([(1,14)(2,13)(5,10)(6,8)(9,12)]); # Design 5838: autom. group order 2, simple B[5838]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,6,8,10,13,14],[1,3,5,9,12,13,14],[1,3,7,9,10,11,14],[1,4,5,7,8,11,13],[1,4,6,9,11,12,14],[1,4,7,8,9,10,12],[1,5,6,8,11,12,14],[1,6,7,8,9,10,13],[2,3,6,7,8,12,14],[2,3,7,8,9,11,14],[2,4,5,6,9,10,14],[2,4,6,7,9,12,13],[2,4,8,9,11,13,14],[2,5,7,8,10,11,12],[2,5,9,10,11,12,13],[3,4,5,8,10,13,14],[3,4,6,8,11,12,13],[3,4,7,10,12,13,14],[3,5,6,7,9,11,13],[3,5,6,8,9,10,12],[4,5,6,7,10,11,14]]; G[5838]:=Group([(1,10)(3,11)(4,12)(6,13)(7,9)]); # Design 5839: autom. group order 2, simple B[5839]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,6,8,10,13,14],[1,3,5,8,9,12,13],[1,3,7,9,10,11,14],[1,4,5,7,11,13,14],[1,4,6,9,11,12,14],[1,4,7,8,9,10,12],[1,5,6,8,11,12,14],[1,6,7,8,9,10,13],[2,3,6,7,8,12,14],[2,3,7,8,9,11,14],[2,4,5,6,9,10,14],[2,4,6,7,9,12,13],[2,4,8,9,11,13,14],[2,5,7,8,10,11,12],[2,5,9,10,11,12,13],[3,4,5,8,10,13,14],[3,4,6,8,11,12,13],[3,4,7,10,12,13,14],[3,5,6,7,9,11,13],[3,5,6,9,10,12,14],[4,5,6,7,8,10,11]]; G[5839]:=Group([(1,10)(3,11)(4,12)(6,13)(7,9)]); # Design 5840: autom. group order 2, simple B[5840]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,6,8,10,13,14],[1,3,5,8,9,12,13],[1,3,7,9,10,11,14],[1,4,5,7,11,13,14],[1,4,6,8,9,11,12],[1,4,7,9,10,12,14],[1,5,6,8,11,12,14],[1,6,7,8,9,10,13],[2,3,6,7,8,12,14],[2,3,7,8,9,11,14],[2,4,5,6,9,10,14],[2,4,6,7,9,12,13],[2,4,8,9,11,13,14],[2,5,7,8,10,11,12],[2,5,9,10,11,12,13],[3,4,5,8,10,13,14],[3,4,6,11,12,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,11,13],[3,5,6,9,10,12,14],[4,5,6,7,8,10,11]]; G[5840]:=Group([(1,10)(3,11)(4,12)(6,13)(7,9)]); # Design 5841: autom. group order 2, simple B[5841]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,11,12,13],[1,3,5,8,9,11,14],[1,3,7,9,10,11,12],[1,4,5,7,12,13,14],[1,4,6,8,9,11,13],[1,4,7,8,10,12,14],[1,5,6,9,10,12,13],[1,6,7,8,9,10,14],[2,3,6,7,8,12,14],[2,3,7,8,9,10,13],[2,4,5,6,9,10,14],[2,4,6,7,9,11,12],[2,4,8,10,11,13,14],[2,5,7,8,9,12,13],[2,5,9,10,11,12,14],[3,4,5,8,10,12,13],[3,4,6,9,12,13,14],[3,4,7,9,11,13,14],[3,5,6,7,10,11,13],[3,5,6,8,11,12,14],[4,5,6,7,8,10,11]]; G[5841]:=Group([(1,14)(2,6)(4,12)(5,8)(9,11)(10,13)]); # Design 5842: autom. group order 2, simple, residual B[5842]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,6,8,9,10,14],[1,3,5,8,9,12,13],[1,3,7,8,10,11,14],[1,4,5,7,10,13,14],[1,4,6,9,11,12,13],[1,4,7,8,11,12,14],[1,5,6,9,10,12,14],[1,6,7,8,9,11,13],[2,3,6,7,9,12,14],[2,3,7,9,11,13,14],[2,4,5,6,8,11,14],[2,4,6,7,8,12,13],[2,4,8,9,10,13,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,9,11,13,14],[3,4,6,10,12,13,14],[3,4,7,8,9,10,12],[3,5,6,7,8,10,13],[3,5,6,8,11,12,14],[4,5,6,7,9,10,11]]; G[5842]:=Group([(1,11)(3,10)(4,12)(6,13)(7,8)]); # Design 5843: autom. group order 2, simple, residual B[5843]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,6,8,9,10,14],[1,3,5,8,9,12,13],[1,3,7,8,10,11,14],[1,4,5,7,10,13,14],[1,4,6,9,11,12,13],[1,4,7,8,11,12,14],[1,5,6,9,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,9,12,14],[2,3,7,9,11,13,14],[2,4,5,6,8,11,14],[2,4,6,7,8,12,13],[2,4,8,9,10,13,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,9,10,12,14],[3,4,6,10,12,13,14],[3,4,7,8,9,11,13],[3,5,6,7,8,10,13],[3,5,6,8,11,12,14],[4,5,6,7,9,10,11]]; G[5843]:=Group([(1,11)(3,10)(4,12)(6,13)(7,8)]); # Design 5844: autom. group order 2, simple, residual B[5844]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,6,8,9,10,14],[1,3,5,8,12,13,14],[1,3,7,8,10,11,14],[1,4,5,7,9,10,13],[1,4,6,9,11,12,13],[1,4,7,8,11,12,14],[1,5,6,9,10,12,14],[1,6,7,8,9,11,13],[2,3,6,7,9,12,14],[2,3,7,9,11,13,14],[2,4,5,6,8,11,14],[2,4,6,7,8,12,13],[2,4,8,9,10,13,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,9,11,13,14],[3,4,6,10,12,13,14],[3,4,7,8,9,10,12],[3,5,6,7,8,10,13],[3,5,6,8,9,11,12],[4,5,6,7,10,11,14]]; G[5844]:=Group([(1,11)(3,10)(4,12)(6,13)(7,8)]); # Design 5845: autom. group order 2, simple, residual B[5845]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,6,8,9,10,14],[1,3,5,8,12,13,14],[1,3,7,8,10,11,14],[1,4,5,7,9,10,13],[1,4,6,9,11,12,13],[1,4,7,8,11,12,14],[1,5,6,9,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,9,12,14],[2,3,7,9,11,13,14],[2,4,5,6,8,11,14],[2,4,6,7,8,12,13],[2,4,8,9,10,13,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,9,10,12,14],[3,4,6,10,12,13,14],[3,4,7,8,9,11,13],[3,5,6,7,8,10,13],[3,5,6,8,9,11,12],[4,5,6,7,10,11,14]]; G[5845]:=Group([(1,11)(3,10)(4,12)(6,13)(7,8)]); # Design 5846: autom. group order 2, simple B[5846]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,9,10,13,14],[1,3,5,8,9,12,13],[1,3,7,11,12,13,14],[1,4,5,7,11,13,14],[1,4,6,8,9,11,12],[1,4,7,8,10,12,14],[1,5,6,9,11,12,14],[1,6,7,8,9,10,13],[2,3,6,7,9,12,14],[2,3,7,8,9,11,14],[2,4,5,6,12,13,14],[2,4,6,7,8,12,13],[2,4,8,9,11,13,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,9,10,13,14],[3,4,6,8,10,11,14],[3,4,7,9,10,12,13],[3,5,6,7,8,11,13],[3,5,6,8,10,12,14],[4,5,6,7,9,10,11]]; G[5846]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 5847: autom. group order 2, simple B[5847]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,9,10,13,14],[1,3,5,8,12,13,14],[1,3,7,11,12,13,14],[1,4,5,7,9,11,13],[1,4,6,8,9,11,12],[1,4,7,8,10,12,14],[1,5,6,9,11,12,14],[1,6,7,8,9,10,13],[2,3,6,7,9,12,14],[2,3,7,8,9,11,14],[2,4,5,6,12,13,14],[2,4,6,7,8,12,13],[2,4,8,9,11,13,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,9,10,13,14],[3,4,6,8,10,11,14],[3,4,7,9,10,12,13],[3,5,6,7,8,11,13],[3,5,6,8,9,10,12],[4,5,6,7,10,11,14]]; G[5847]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 5848: autom. group order 2, simple, residual B[5848]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,8,9,11,14],[1,3,5,8,9,12,13],[1,3,7,11,12,13,14],[1,4,5,7,11,13,14],[1,4,6,9,10,12,13],[1,4,7,8,10,12,14],[1,5,6,9,10,13,14],[1,6,7,8,9,11,12],[2,3,6,7,9,12,14],[2,3,7,9,10,13,14],[2,4,5,6,12,13,14],[2,4,6,7,8,12,13],[2,4,8,9,11,13,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,9,11,12,14],[3,4,6,8,10,11,14],[3,4,7,8,9,10,13],[3,5,6,7,8,11,13],[3,5,6,8,10,12,14],[4,5,6,7,9,10,11]]; G[5848]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 5849: autom. group order 2, simple, residual B[5849]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,8,9,11,14],[1,3,5,8,9,12,13],[1,3,7,11,12,13,14],[1,4,5,7,11,13,14],[1,4,6,9,10,12,13],[1,4,7,8,10,12,14],[1,5,6,9,11,12,14],[1,6,7,8,9,10,13],[2,3,6,7,9,12,14],[2,3,7,9,10,13,14],[2,4,5,6,12,13,14],[2,4,6,7,8,12,13],[2,4,8,9,11,13,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,9,10,13,14],[3,4,6,8,10,11,14],[3,4,7,8,9,11,12],[3,5,6,7,8,11,13],[3,5,6,8,10,12,14],[4,5,6,7,9,10,11]]; G[5849]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 5850: autom. group order 2, simple, residual B[5850]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,8,9,11,14],[1,3,5,8,12,13,14],[1,3,7,11,12,13,14],[1,4,5,7,9,11,13],[1,4,6,9,10,12,13],[1,4,7,8,10,12,14],[1,5,6,9,10,13,14],[1,6,7,8,9,11,12],[2,3,6,7,9,12,14],[2,3,7,9,10,13,14],[2,4,5,6,12,13,14],[2,4,6,7,8,12,13],[2,4,8,9,11,13,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,9,11,12,14],[3,4,6,8,10,11,14],[3,4,7,8,9,10,13],[3,5,6,7,8,11,13],[3,5,6,8,9,10,12],[4,5,6,7,10,11,14]]; G[5850]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 5851: autom. group order 2, simple, residual B[5851]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,8,9,11,14],[1,3,5,8,12,13,14],[1,3,7,11,12,13,14],[1,4,5,7,9,11,13],[1,4,6,9,10,12,13],[1,4,7,8,10,12,14],[1,5,6,9,11,12,14],[1,6,7,8,9,10,13],[2,3,6,7,9,12,14],[2,3,7,9,10,13,14],[2,4,5,6,12,13,14],[2,4,6,7,8,12,13],[2,4,8,9,11,13,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,9,10,13,14],[3,4,6,8,10,11,14],[3,4,7,8,9,11,12],[3,5,6,7,8,11,13],[3,5,6,8,9,10,12],[4,5,6,7,10,11,14]]; G[5851]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 5852: autom. group order 2, simple, residual B[5852]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,12,13,14],[1,3,5,8,9,10,13],[1,3,7,8,9,11,14],[1,4,5,7,10,12,14],[1,4,6,8,9,12,14],[1,4,9,10,11,12,13],[1,5,6,7,8,11,12],[1,6,7,9,10,11,13],[2,3,6,7,9,11,12],[2,3,7,8,10,12,13],[2,4,5,6,9,11,13],[2,4,6,8,10,11,14],[2,4,7,8,9,12,13],[2,5,7,9,10,12,14],[2,5,8,9,10,11,14],[3,4,5,11,12,13,14],[3,4,6,7,9,10,14],[3,4,7,8,11,13,14],[3,5,6,8,10,11,12],[3,5,6,9,12,13,14],[4,5,6,7,8,10,13]]; G[5852]:=Group([(2,13)(3,10)(4,9)(5,11)(8,12)]); # Design 5853: autom. group order 2, simple, residual B[5853]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,12,13,14],[1,3,5,8,9,10,13],[1,3,7,8,9,11,14],[1,4,5,7,10,12,14],[1,4,6,8,9,12,14],[1,4,9,10,11,12,13],[1,5,6,7,8,11,12],[1,6,7,9,10,11,13],[2,3,6,9,11,12,14],[2,3,7,8,10,12,13],[2,4,5,6,9,11,13],[2,4,6,7,8,10,11],[2,4,7,8,9,12,13],[2,5,7,9,10,12,14],[2,5,8,9,10,11,14],[3,4,5,11,12,13,14],[3,4,6,7,9,10,14],[3,4,7,8,11,13,14],[3,5,6,7,9,12,13],[3,5,6,8,10,11,12],[4,5,6,8,10,13,14]]; G[5853]:=Group([(2,13)(3,10)(4,9)(5,11)(8,12)]); # Design 5854: autom. group order 2, simple, residual B[5854]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,13,14],[1,2,6,8,9,12,13],[1,3,5,9,10,12,14],[1,3,7,9,11,12,14],[1,4,5,7,12,13,14],[1,4,6,9,10,13,14],[1,4,8,10,11,13,14],[1,5,6,7,8,10,11],[1,6,7,8,9,11,12],[2,3,6,8,12,13,14],[2,3,7,9,11,13,14],[2,4,5,6,11,12,14],[2,4,6,7,9,10,14],[2,4,7,8,9,10,12],[2,5,7,9,10,11,13],[2,5,8,10,11,12,14],[3,4,5,8,9,11,13],[3,4,6,7,8,11,14],[3,4,7,8,10,12,13],[3,5,6,7,10,12,13],[3,5,6,8,9,10,14],[4,5,6,9,11,12,13]]; G[5854]:=Group([(2,13)(3,14)(5,10)(6,8)(7,11)]); # Design 5855: autom. group order 2, simple B[5855]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,13,14],[1,2,6,8,9,12,13],[1,3,5,9,10,12,14],[1,3,7,9,11,12,14],[1,4,5,7,12,13,14],[1,4,6,9,10,13,14],[1,4,8,10,11,13,14],[1,5,6,7,8,10,11],[1,6,7,8,9,11,12],[2,3,6,8,12,13,14],[2,3,7,9,11,13,14],[2,4,5,6,11,12,14],[2,4,6,7,9,10,14],[2,4,7,8,9,10,12],[2,5,7,10,11,12,13],[2,5,8,9,10,11,14],[3,4,5,8,9,11,13],[3,4,6,7,8,11,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,13],[3,5,6,8,10,12,14],[4,5,6,9,11,12,13]]; G[5855]:=Group([(2,13)(3,14)(5,10)(6,8)(7,11)]); # Design 5856: autom. group order 2, simple, residual B[5856]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,13,14],[1,2,6,8,9,12,13],[1,3,5,9,10,12,14],[1,3,7,9,11,12,14],[1,4,5,7,12,13,14],[1,4,6,9,10,13,14],[1,4,8,10,11,13,14],[1,5,6,7,8,10,11],[1,6,7,8,9,11,12],[2,3,6,8,12,13,14],[2,3,7,8,9,10,14],[2,4,5,6,9,11,14],[2,4,6,7,10,12,14],[2,4,7,9,11,12,13],[2,5,7,9,10,11,13],[2,5,8,10,11,12,14],[3,4,5,8,11,12,13],[3,4,6,7,8,11,14],[3,4,7,8,9,10,13],[3,5,6,7,10,12,13],[3,5,6,9,11,13,14],[4,5,6,8,9,10,12]]; G[5856]:=Group([(2,13)(3,14)(5,10)(6,8)(7,11)]); # Design 5857: autom. group order 2, simple, residual B[5857]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,13,14],[1,2,6,8,9,12,13],[1,3,5,9,10,12,14],[1,3,7,9,11,12,14],[1,4,5,7,12,13,14],[1,4,6,9,10,13,14],[1,4,8,10,11,13,14],[1,5,6,7,8,10,11],[1,6,7,8,9,11,12],[2,3,6,8,12,13,14],[2,3,7,8,9,10,14],[2,4,5,6,11,12,14],[2,4,6,7,9,10,14],[2,4,7,9,11,12,13],[2,5,7,9,10,11,13],[2,5,8,10,11,12,14],[3,4,5,8,9,11,13],[3,4,6,7,8,11,14],[3,4,7,8,10,12,13],[3,5,6,7,10,12,13],[3,5,6,9,11,13,14],[4,5,6,8,9,10,12]]; G[5857]:=Group([(2,13)(3,14)(5,10)(6,8)(7,11)]); # Design 5858: autom. group order 2, simple, residual B[5858]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,8,9,12,14],[1,3,5,9,12,13,14],[1,3,7,10,12,13,14],[1,4,5,7,9,11,13],[1,4,6,8,10,11,14],[1,4,8,9,11,12,13],[1,5,6,7,11,12,14],[1,6,7,8,9,10,13],[2,3,6,9,11,13,14],[2,3,7,8,9,11,14],[2,4,5,6,12,13,14],[2,4,6,7,8,12,13],[2,4,7,9,10,13,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,8,10,13,14],[3,4,6,7,9,10,12],[3,4,7,8,11,12,14],[3,5,6,7,8,11,13],[3,5,6,8,9,10,12],[4,5,6,9,10,11,14]]; G[5858]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 5859: autom. group order 2, simple, residual B[5859]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,8,9,12,14],[1,3,5,9,12,13,14],[1,3,7,10,12,13,14],[1,4,5,7,11,13,14],[1,4,6,8,10,11,14],[1,4,8,9,11,12,13],[1,5,6,7,9,11,12],[1,6,7,8,9,10,13],[2,3,6,9,11,13,14],[2,3,7,8,9,11,14],[2,4,5,6,12,13,14],[2,4,6,7,8,12,13],[2,4,7,9,10,13,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,8,9,10,13],[3,4,6,7,9,10,12],[3,4,7,8,11,12,14],[3,5,6,7,8,11,13],[3,5,6,8,10,12,14],[4,5,6,9,10,11,14]]; G[5859]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 5860: autom. group order 2, simple, residual B[5860]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,6,8,9,10,11],[1,3,5,9,11,12,13],[1,3,7,9,11,12,14],[1,4,5,7,11,13,14],[1,4,6,9,10,12,13],[1,4,8,10,12,13,14],[1,5,6,7,8,10,12],[1,6,7,8,9,11,14],[2,3,6,10,11,13,14],[2,3,7,9,10,12,14],[2,4,5,6,11,12,14],[2,4,6,7,9,12,13],[2,4,7,8,9,11,13],[2,5,7,8,10,11,12],[2,5,8,9,12,13,14],[3,4,5,8,9,10,14],[3,4,6,7,8,12,14],[3,4,7,8,10,11,13],[3,5,6,7,9,10,13],[3,5,6,8,11,12,13],[4,5,6,9,10,11,14]]; G[5860]:=Group([(2,10)(3,12)(5,13)(6,8)(7,14)]); # Design 5861: autom. group order 2, simple, residual B[5861]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,8,9,12,13],[1,3,5,9,10,12,14],[1,3,7,9,11,12,14],[1,4,5,7,9,13,14],[1,4,6,10,12,13,14],[1,4,8,10,11,13,14],[1,5,6,7,8,10,11],[1,6,7,8,9,11,12],[2,3,6,9,10,11,13],[2,3,7,8,10,12,14],[2,4,5,6,11,12,14],[2,4,6,7,9,10,14],[2,4,7,9,11,12,13],[2,5,7,8,12,13,14],[2,5,8,9,10,11,14],[3,4,5,8,11,12,13],[3,4,6,7,8,11,14],[3,4,7,8,9,10,13],[3,5,6,7,10,12,13],[3,5,6,9,11,13,14],[4,5,6,8,9,10,12]]; G[5861]:=Group([(2,13)(3,14)(5,10)(6,8)(7,11)(9,12)]); # Design 5862: autom. group order 2, simple, residual B[5862]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,12,13],[1,3,5,10,11,12,14],[1,3,7,8,9,12,14],[1,4,5,9,12,13,14],[1,4,6,7,9,10,11],[1,4,7,8,10,13,14],[1,5,6,7,11,12,13],[1,6,8,9,10,11,14],[2,3,6,7,9,12,14],[2,3,7,9,10,11,13],[2,4,5,6,8,10,14],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,7,9,10,13,14],[2,5,8,9,10,11,12],[3,4,5,9,11,13,14],[3,4,6,8,9,11,13],[3,4,7,8,10,12,13],[3,5,6,7,8,11,14],[3,5,6,8,10,12,13],[4,5,6,7,9,10,12]]; G[5862]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 5863: autom. group order 2, simple B[5863]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,6,9,10,11,13],[1,3,5,9,10,12,14],[1,3,7,9,11,12,14],[1,4,5,8,11,12,13],[1,4,6,7,11,12,13],[1,4,7,8,9,10,13],[1,5,6,8,10,11,14],[1,6,7,8,9,12,14],[2,3,6,8,9,12,13],[2,3,7,8,10,11,12],[2,4,5,6,7,12,14],[2,4,6,9,10,11,14],[2,4,7,8,9,11,14],[2,5,7,9,10,12,13],[2,5,8,11,12,13,14],[3,4,5,9,11,13,14],[3,4,6,10,12,13,14],[3,4,7,8,10,13,14],[3,5,6,7,8,10,11],[3,5,6,7,9,11,13],[4,5,6,8,9,10,12]]; G[5863]:=Group([(1,14)(2,13)(5,10)(6,8)(9,12)]); # Design 5864: autom. group order 2, simple B[5864]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,6,8,10,13,14],[1,3,5,8,12,13,14],[1,3,7,9,10,11,14],[1,4,5,9,11,13,14],[1,4,6,7,11,12,14],[1,4,7,8,9,10,12],[1,5,6,8,9,11,12],[1,6,7,8,9,10,13],[2,3,6,8,9,12,14],[2,3,7,8,9,11,14],[2,4,5,6,9,10,14],[2,4,6,7,9,12,13],[2,4,7,8,11,13,14],[2,5,7,8,10,11,12],[2,5,9,10,11,12,13],[3,4,5,7,8,10,13],[3,4,6,8,11,12,13],[3,4,9,10,12,13,14],[3,5,6,7,9,11,13],[3,5,6,7,10,12,14],[4,5,6,8,10,11,14]]; G[5864]:=Group([(1,10)(3,11)(4,12)(6,13)(7,9)]); # Design 5865: autom. group order 2, simple B[5865]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,6,8,10,13,14],[1,3,5,8,12,13,14],[1,3,7,9,10,11,14],[1,4,5,9,11,13,14],[1,4,6,7,8,11,12],[1,4,7,9,10,12,14],[1,5,6,8,9,11,12],[1,6,7,8,9,10,13],[2,3,6,8,9,12,14],[2,3,7,8,9,11,14],[2,4,5,6,9,10,14],[2,4,6,7,9,12,13],[2,4,7,8,11,13,14],[2,5,7,8,10,11,12],[2,5,9,10,11,12,13],[3,4,5,7,8,10,13],[3,4,6,11,12,13,14],[3,4,8,9,10,12,13],[3,5,6,7,9,11,13],[3,5,6,7,10,12,14],[4,5,6,8,10,11,14]]; G[5865]:=Group([(1,10)(3,11)(4,12)(6,13)(7,9)]); # Design 5866: autom. group order 2, simple B[5866]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,9,10,13,14],[1,3,5,9,12,13,14],[1,3,7,11,12,13,14],[1,4,5,8,9,11,13],[1,4,6,7,9,11,12],[1,4,7,8,10,12,14],[1,5,6,8,11,12,14],[1,6,7,8,9,10,13],[2,3,6,8,9,12,14],[2,3,7,8,9,11,14],[2,4,5,6,12,13,14],[2,4,6,7,8,12,13],[2,4,7,9,11,13,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,7,10,13,14],[3,4,6,8,10,11,14],[3,4,8,9,10,12,13],[3,5,6,7,8,11,13],[3,5,6,7,9,10,12],[4,5,6,9,10,11,14]]; G[5866]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 5867: autom. group order 2, simple B[5867]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,9,10,13,14],[1,3,5,9,12,13,14],[1,3,7,11,12,13,14],[1,4,5,8,11,13,14],[1,4,6,7,9,11,12],[1,4,7,8,10,12,14],[1,5,6,8,9,11,12],[1,6,7,8,9,10,13],[2,3,6,8,9,12,14],[2,3,7,8,9,11,14],[2,4,5,6,12,13,14],[2,4,6,7,8,12,13],[2,4,7,9,11,13,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,7,9,10,13],[3,4,6,8,10,11,14],[3,4,8,9,10,12,13],[3,5,6,7,8,11,13],[3,5,6,7,10,12,14],[4,5,6,9,10,11,14]]; G[5867]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 5868: autom. group order 2, simple, residual B[5868]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,8,9,12,13],[1,3,5,9,10,12,14],[1,3,7,9,11,12,14],[1,4,5,9,11,13,14],[1,4,6,10,12,13,14],[1,4,7,8,10,13,14],[1,5,6,7,8,10,11],[1,6,7,8,9,11,12],[2,3,6,9,10,11,13],[2,3,7,8,10,12,14],[2,4,5,6,7,12,14],[2,4,6,9,10,11,14],[2,4,7,8,9,11,14],[2,5,7,9,10,12,13],[2,5,8,11,12,13,14],[3,4,5,8,11,12,13],[3,4,6,7,11,12,13],[3,4,7,8,9,10,13],[3,5,6,7,9,13,14],[3,5,6,8,10,11,14],[4,5,6,8,9,10,12]]; G[5868]:=Group([(2,13)(3,14)(5,10)(6,8)(9,12)]); # Design 5869: autom. group order 2, simple, residual B[5869]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,8,9,12,13],[1,3,5,9,10,12,14],[1,3,7,9,11,12,14],[1,4,5,9,11,13,14],[1,4,6,10,12,13,14],[1,4,7,8,10,13,14],[1,5,6,7,8,10,11],[1,6,7,8,9,11,12],[2,3,6,9,10,11,13],[2,3,7,8,10,12,14],[2,4,5,6,11,12,14],[2,4,6,7,9,10,14],[2,4,7,8,9,11,14],[2,5,7,9,10,12,13],[2,5,8,11,12,13,14],[3,4,5,7,8,12,13],[3,4,6,7,11,12,13],[3,4,8,9,10,11,13],[3,5,6,7,9,13,14],[3,5,6,8,10,11,14],[4,5,6,8,9,10,12]]; G[5869]:=Group([(2,13)(3,14)(5,10)(6,8)(9,12)]); # Design 5870: autom. group order 2, simple B[5870]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,8,11,14],[1,3,5,7,12,13,14],[1,3,7,9,11,12,13],[1,4,5,7,9,10,14],[1,4,6,8,9,12,14],[1,4,8,10,12,13,14],[1,5,6,8,9,11,12],[1,6,7,9,10,11,13],[2,3,6,9,10,12,14],[2,3,7,8,9,11,14],[2,4,5,6,11,12,13],[2,4,6,7,9,12,13],[2,4,7,8,9,10,13],[2,5,7,8,12,13,14],[2,5,9,10,11,12,14],[3,4,5,9,11,13,14],[3,4,6,8,11,13,14],[3,4,7,8,10,11,12],[3,5,6,7,8,10,12],[3,5,6,8,9,10,13],[4,5,6,7,10,11,14]]; G[5870]:=Group([(1,8)(3,7)(4,14)(5,11)(6,9)(10,13)]); # Design 5871: autom. group order 2, simple, residual B[5871]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,8,12,13],[1,3,5,7,10,12,14],[1,3,7,9,11,12,14],[1,4,5,7,9,13,14],[1,4,6,10,11,13,14],[1,4,8,10,12,13,14],[1,5,6,8,9,10,11],[1,6,7,8,9,11,12],[2,3,6,9,10,12,13],[2,3,7,8,10,11,14],[2,4,5,6,11,12,14],[2,4,6,7,9,10,14],[2,4,7,9,11,12,13],[2,5,7,8,11,13,14],[2,5,8,9,10,12,14],[3,4,5,8,11,12,13],[3,4,6,8,9,11,14],[3,4,7,8,9,10,13],[3,5,6,7,10,11,13],[3,5,6,9,12,13,14],[4,5,6,7,8,10,12]]; G[5871]:=Group([(2,13)(3,14)(5,10)(6,8)(7,12)(9,11)]); # Design 5872: autom. group order 2, simple, residual B[5872]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,8,12,13],[1,3,5,7,10,12,14],[1,3,7,9,11,12,14],[1,4,5,7,11,13,14],[1,4,6,9,10,13,14],[1,4,8,10,12,13,14],[1,5,6,8,9,10,11],[1,6,7,8,9,11,12],[2,3,6,10,11,12,13],[2,3,7,8,9,10,14],[2,4,5,6,9,12,14],[2,4,6,7,10,11,14],[2,4,8,9,11,12,14],[2,5,7,8,11,13,14],[2,5,7,9,10,12,13],[3,4,5,8,11,12,13],[3,4,6,7,9,11,13],[3,4,7,8,9,10,13],[3,5,6,8,10,11,14],[3,5,6,9,12,13,14],[4,5,6,7,8,10,12]]; G[5872]:=Group([(2,13)(3,14)(5,10)(6,8)(7,12)]); # Design 5873: autom. group order 2, simple, residual B[5873]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,8,12,13],[1,3,5,7,10,12,14],[1,3,7,9,11,12,14],[1,4,5,7,11,13,14],[1,4,6,9,10,13,14],[1,4,8,10,12,13,14],[1,5,6,8,9,10,11],[1,6,7,8,9,11,12],[2,3,6,10,11,12,13],[2,3,7,8,9,10,14],[2,4,5,6,11,12,14],[2,4,6,7,9,10,14],[2,4,8,9,11,12,14],[2,5,7,8,11,13,14],[2,5,7,9,10,12,13],[3,4,5,8,9,12,13],[3,4,6,7,9,11,13],[3,4,7,8,10,11,13],[3,5,6,8,10,11,14],[3,5,6,9,12,13,14],[4,5,6,7,8,10,12]]; G[5873]:=Group([(2,13)(3,14)(5,10)(6,8)(7,12)]); # Design 5874: autom. group order 2, simple B[5874]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,7,8,12,14],[1,3,5,7,11,12,13],[1,3,8,9,11,12,14],[1,4,5,7,10,12,14],[1,4,6,9,12,13,14],[1,4,7,8,9,10,13],[1,5,6,8,10,11,14],[1,6,7,9,10,11,13],[2,3,6,7,9,10,11],[2,3,7,9,12,13,14],[2,4,5,6,11,13,14],[2,4,6,8,9,10,12],[2,4,7,8,11,13,14],[2,5,7,8,10,12,13],[2,5,9,10,11,12,14],[3,4,5,9,10,13,14],[3,4,6,8,11,12,13],[3,4,7,8,10,11,14],[3,5,6,7,8,9,14],[3,5,6,8,10,12,13],[4,5,6,7,9,11,12]]; G[5874]:=Group([(1,9)(2,7)(3,6)(4,11)(5,10)(8,13)]); # Design 5875: autom. group order 2, simple, residual B[5875]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,7,8,12,13],[1,3,5,9,11,12,14],[1,3,8,10,12,13,14],[1,4,5,7,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,9,11,14],[2,3,6,7,9,12,14],[2,3,7,9,10,11,13],[2,4,5,6,8,10,14],[2,4,6,9,11,12,14],[2,4,8,11,12,13,14],[2,5,7,8,10,11,12],[2,5,7,9,10,13,14],[3,4,5,7,11,13,14],[3,4,6,7,8,11,13],[3,4,7,8,9,10,12],[3,5,6,8,9,12,13],[3,5,6,8,10,11,14],[4,5,6,9,10,12,13]]; G[5875]:=Group([(1,12)(3,11)(5,14)(6,8)(7,13)]); # Design 5876: autom. group order 2, simple, residual B[5876]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,7,8,12,13],[1,3,5,10,11,12,14],[1,3,8,9,12,13,14],[1,4,5,7,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,9,10,14],[1,5,6,7,9,11,12],[1,6,7,8,10,11,14],[2,3,6,7,9,12,14],[2,3,7,9,10,11,13],[2,4,5,6,8,10,14],[2,4,6,9,11,12,14],[2,4,8,11,12,13,14],[2,5,7,8,10,11,12],[2,5,7,9,10,13,14],[3,4,5,7,11,13,14],[3,4,6,7,8,11,13],[3,4,7,8,9,10,12],[3,5,6,8,9,11,14],[3,5,6,8,10,12,13],[4,5,6,9,10,12,13]]; G[5876]:=Group([(1,12)(3,11)(5,14)(6,8)(7,13)]); # Design 5877: autom. group order 2, simple B[5877]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,13,14],[1,2,6,10,11,12,13],[1,3,5,7,10,11,14],[1,3,7,9,11,12,14],[1,4,5,8,9,11,13],[1,4,6,7,9,12,13],[1,4,7,8,10,12,13],[1,5,6,8,10,12,14],[1,6,7,8,9,11,14],[2,3,6,7,8,11,13],[2,3,7,8,9,10,12],[2,4,5,6,11,12,14],[2,4,6,7,9,10,14],[2,4,8,9,11,12,14],[2,5,7,8,12,13,14],[2,5,7,9,10,11,13],[3,4,5,7,12,13,14],[3,4,6,9,10,13,14],[3,4,8,10,11,13,14],[3,5,6,8,9,10,12],[3,5,6,9,11,12,13],[4,5,6,7,8,10,11]]; G[5877]:=Group([(1,14)(2,13)(5,10)(6,8)(7,11)]); # Design 5878: autom. group order 2, simple B[5878]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,13,14],[1,2,6,10,11,12,13],[1,3,5,7,10,11,14],[1,3,7,9,11,12,14],[1,4,5,8,11,12,13],[1,4,6,7,9,12,13],[1,4,7,8,9,10,13],[1,5,6,8,10,12,14],[1,6,7,8,9,11,14],[2,3,6,7,8,11,13],[2,3,7,8,9,10,12],[2,4,5,6,9,11,14],[2,4,6,7,10,12,14],[2,4,8,9,11,12,14],[2,5,7,8,12,13,14],[2,5,7,9,10,11,13],[3,4,5,7,12,13,14],[3,4,6,9,10,13,14],[3,4,8,10,11,13,14],[3,5,6,8,9,10,12],[3,5,6,9,11,12,13],[4,5,6,7,8,10,11]]; G[5878]:=Group([(1,14)(2,13)(5,10)(6,8)(7,11)]); # Design 5879: autom. group order 2, simple B[5879]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,6,9,10,13,14],[1,3,5,7,9,12,13],[1,3,7,8,10,11,14],[1,4,5,9,11,13,14],[1,4,6,8,9,11,12],[1,4,7,8,10,12,14],[1,5,6,7,11,12,14],[1,6,7,8,9,10,13],[2,3,6,8,9,12,14],[2,3,7,8,9,11,14],[2,4,5,6,7,10,14],[2,4,6,7,8,12,13],[2,4,7,9,11,13,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,8,10,13,14],[3,4,6,11,12,13,14],[3,4,7,9,10,12,13],[3,5,6,7,8,11,13],[3,5,6,9,10,12,14],[4,5,6,8,9,10,11]]; G[5879]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 5880: autom. group order 2, simple B[5880]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,6,9,10,13,14],[1,3,5,7,9,12,13],[1,3,7,8,10,11,14],[1,4,5,9,11,13,14],[1,4,6,8,11,12,14],[1,4,7,8,9,10,12],[1,5,6,7,11,12,14],[1,6,7,8,9,10,13],[2,3,6,8,9,12,14],[2,3,7,8,9,11,14],[2,4,5,6,7,10,14],[2,4,6,7,8,12,13],[2,4,7,9,11,13,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,8,10,13,14],[3,4,6,9,11,12,13],[3,4,7,10,12,13,14],[3,5,6,7,8,11,13],[3,5,6,9,10,12,14],[4,5,6,8,9,10,11]]; G[5880]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 5881: autom. group order 2, simple B[5881]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,6,9,10,13,14],[1,3,5,7,12,13,14],[1,3,7,8,10,11,14],[1,4,5,9,11,13,14],[1,4,6,8,9,11,12],[1,4,7,8,10,12,14],[1,5,6,7,9,11,12],[1,6,7,8,9,10,13],[2,3,6,8,9,12,14],[2,3,7,8,9,11,14],[2,4,5,6,7,10,14],[2,4,6,7,8,12,13],[2,4,7,9,11,13,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,8,9,10,13],[3,4,6,11,12,13,14],[3,4,7,9,10,12,13],[3,5,6,7,8,11,13],[3,5,6,9,10,12,14],[4,5,6,8,10,11,14]]; G[5881]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 5882: autom. group order 2, simple B[5882]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,6,9,10,13,14],[1,3,5,7,12,13,14],[1,3,7,8,10,11,14],[1,4,5,9,11,13,14],[1,4,6,8,11,12,14],[1,4,7,8,9,10,12],[1,5,6,7,9,11,12],[1,6,7,8,9,10,13],[2,3,6,8,9,12,14],[2,3,7,8,9,11,14],[2,4,5,6,7,10,14],[2,4,6,7,8,12,13],[2,4,7,9,11,13,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,8,9,10,13],[3,4,6,9,11,12,13],[3,4,7,10,12,13,14],[3,5,6,7,8,11,13],[3,5,6,9,10,12,14],[4,5,6,8,10,11,14]]; G[5882]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 5883: autom. group order 2, simple, residual B[5883]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,6,8,9,10,14],[1,3,5,7,9,12,13],[1,3,7,8,10,11,14],[1,4,5,9,10,13,14],[1,4,6,9,11,12,13],[1,4,7,8,11,12,14],[1,5,6,7,10,12,14],[1,6,7,8,9,11,13],[2,3,6,8,9,12,14],[2,3,7,9,11,13,14],[2,4,5,6,7,11,14],[2,4,6,7,8,12,13],[2,4,7,9,10,13,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,8,11,13,14],[3,4,6,10,12,13,14],[3,4,7,8,9,10,12],[3,5,6,7,8,10,13],[3,5,6,9,11,12,14],[4,5,6,8,9,10,11]]; G[5883]:=Group([(1,11)(3,10)(4,12)(6,13)(7,8)]); # Design 5884: autom. group order 2, simple B[5884]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,6,8,9,10,14],[1,3,5,7,9,12,13],[1,3,7,8,10,11,14],[1,4,5,9,10,13,14],[1,4,6,11,12,13,14],[1,4,7,8,9,11,12],[1,5,6,7,10,12,14],[1,6,7,8,9,11,13],[2,3,6,8,9,12,14],[2,3,7,9,11,13,14],[2,4,5,6,7,11,14],[2,4,6,7,8,12,13],[2,4,7,9,10,13,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,8,11,13,14],[3,4,6,9,10,12,13],[3,4,7,8,10,12,14],[3,5,6,7,8,10,13],[3,5,6,9,11,12,14],[4,5,6,8,9,10,11]]; G[5884]:=Group([(1,11)(3,10)(4,12)(6,13)(7,8)]); # Design 5885: autom. group order 2, simple, residual B[5885]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,13,14],[1,3,5,9,11,12,14],[1,3,7,8,12,13,14],[1,4,5,10,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,11,12,13],[1,5,6,7,8,9,11],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,6,9,12,13],[2,4,7,8,9,12,14],[2,4,7,9,10,11,14],[2,5,6,8,11,12,14],[2,5,7,8,10,12,13],[3,4,5,7,8,10,14],[3,4,6,8,9,10,13],[3,4,6,8,11,12,13],[3,5,6,9,10,12,14],[3,5,7,9,10,11,13],[4,5,6,7,11,13,14]]; G[5885]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 5886: autom. group order 2, simple, residual B[5886]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,13,14],[1,3,5,9,11,12,14],[1,3,7,8,12,13,14],[1,4,5,10,12,13,14],[1,4,6,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,7,8,9,11],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,6,9,12,13],[2,4,7,8,9,10,14],[2,4,7,9,11,12,14],[2,5,6,8,10,12,14],[2,5,7,8,11,12,13],[3,4,5,7,8,10,14],[3,4,6,8,9,12,13],[3,4,6,8,10,11,13],[3,5,6,9,10,11,14],[3,5,7,9,10,12,13],[4,5,6,7,11,13,14]]; G[5886]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 5887: autom. group order 2, simple, residual B[5887]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,12,13,14],[1,3,5,9,10,12,14],[1,3,7,8,11,13,14],[1,4,5,11,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,12,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,9,11,14],[2,4,7,8,9,12,14],[2,4,7,9,10,11,13],[2,5,6,8,10,12,13],[2,5,7,8,11,12,14],[3,4,5,7,8,12,13],[3,4,6,8,9,11,13],[3,4,6,8,10,12,14],[3,5,6,9,11,12,13],[3,5,7,9,10,11,14],[4,5,6,7,10,13,14]]; G[5887]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 5888: autom. group order 2, simple, residual B[5888]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,12,13,14],[1,3,5,9,10,12,14],[1,3,7,8,11,13,14],[1,4,5,11,12,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,11,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,9,11,14],[2,4,7,8,9,11,14],[2,4,7,9,10,12,13],[2,5,6,8,11,12,13],[2,5,7,8,10,12,14],[3,4,5,7,8,12,13],[3,4,6,8,9,12,13],[3,4,6,8,10,11,14],[3,5,6,9,10,11,13],[3,5,7,9,11,12,14],[4,5,6,7,10,13,14]]; G[5888]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 5889: autom. group order 2, simple, residual B[5889]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,13,14],[1,3,5,9,11,12,14],[1,3,7,8,12,13,14],[1,4,5,10,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,11,12,13],[1,5,6,7,8,9,11],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,6,9,12,14],[2,4,7,8,9,10,14],[2,4,7,8,11,12,14],[2,5,6,8,11,12,13],[2,5,7,9,10,12,13],[3,4,5,7,8,10,13],[3,4,6,8,9,12,13],[3,4,6,9,10,11,13],[3,5,6,8,10,12,14],[3,5,7,9,10,11,14],[4,5,6,7,11,13,14]]; G[5889]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 5890: autom. group order 2, simple, residual B[5890]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,13,14],[1,3,5,9,11,12,14],[1,3,7,8,12,13,14],[1,4,5,10,12,13,14],[1,4,6,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,7,8,9,11],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,6,9,12,13],[2,4,7,8,9,10,14],[2,4,7,8,11,12,13],[2,5,6,8,10,12,14],[2,5,7,9,11,12,14],[3,4,5,7,8,10,14],[3,4,6,8,9,12,13],[3,4,6,9,10,11,14],[3,5,6,8,10,11,13],[3,5,7,9,10,12,13],[4,5,6,7,11,13,14]]; G[5890]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 5891: autom. group order 2, simple, residual B[5891]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,12,13,14],[1,3,5,9,10,12,14],[1,3,7,8,11,13,14],[1,4,5,11,12,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,11,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,9,11,14],[2,4,7,8,9,11,14],[2,4,7,8,10,12,14],[2,5,6,8,11,12,13],[2,5,7,9,10,12,13],[3,4,5,7,8,12,13],[3,4,6,8,9,12,13],[3,4,6,9,10,11,13],[3,5,6,8,10,11,14],[3,5,7,9,11,12,14],[4,5,6,7,10,13,14]]; G[5891]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 5892: autom. group order 2, simple, residual B[5892]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,13,14],[1,3,5,9,11,12,14],[1,3,7,8,12,13,14],[1,4,5,10,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,11,12,13],[1,5,6,7,8,9,11],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,6,8,12,14],[2,4,7,8,9,12,14],[2,4,7,9,10,11,14],[2,5,6,9,11,12,13],[2,5,7,8,10,12,13],[3,4,5,7,9,10,13],[3,4,6,8,9,10,13],[3,4,6,8,11,12,13],[3,5,6,9,10,12,14],[3,5,7,8,10,11,14],[4,5,6,7,11,13,14]]; G[5892]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 5893: autom. group order 2, simple, residual B[5893]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,13,14],[1,3,5,9,11,12,14],[1,3,7,8,12,13,14],[1,4,5,10,12,13,14],[1,4,6,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,7,8,9,11],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,6,8,12,13],[2,4,7,8,9,12,14],[2,4,7,9,11,12,13],[2,5,6,9,10,12,14],[2,5,7,8,10,11,14],[3,4,5,7,9,10,14],[3,4,6,8,9,10,13],[3,4,6,8,10,11,14],[3,5,6,9,11,12,13],[3,5,7,8,10,12,13],[4,5,6,7,11,13,14]]; G[5893]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 5894: autom. group order 2, simple, residual B[5894]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,12,13,14],[1,3,5,9,10,12,14],[1,3,7,8,11,13,14],[1,4,5,11,12,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,11,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,8,11,14],[2,4,7,8,9,12,14],[2,4,7,9,10,11,14],[2,5,6,9,11,12,13],[2,5,7,8,10,12,13],[3,4,5,7,9,12,13],[3,4,6,8,9,11,13],[3,4,6,8,10,12,13],[3,5,6,9,10,11,14],[3,5,7,8,11,12,14],[4,5,6,7,10,13,14]]; G[5894]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 5895: autom. group order 2, simple, residual B[5895]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,13,14],[1,3,5,9,11,12,14],[1,3,7,8,12,13,14],[1,4,5,10,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,11,12,13],[1,5,6,7,8,9,11],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,6,8,12,13],[2,4,7,8,9,10,14],[2,4,7,8,11,12,14],[2,5,6,9,11,12,14],[2,5,7,9,10,12,13],[3,4,5,7,9,10,14],[3,4,6,8,9,12,13],[3,4,6,9,10,11,13],[3,5,6,8,10,12,14],[3,5,7,8,10,11,13],[4,5,6,7,11,13,14]]; G[5895]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 5896: autom. group order 2, simple, residual B[5896]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,13,14],[1,3,5,9,11,12,14],[1,3,7,8,12,13,14],[1,4,5,10,12,13,14],[1,4,6,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,7,8,9,11],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,6,8,12,13],[2,4,7,8,9,12,14],[2,4,7,8,10,11,14],[2,5,6,9,10,12,14],[2,5,7,9,11,12,13],[3,4,5,7,9,10,14],[3,4,6,8,9,10,13],[3,4,6,9,11,12,13],[3,5,6,8,10,11,14],[3,5,7,8,10,12,13],[4,5,6,7,11,13,14]]; G[5896]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 5897: autom. group order 2, simple, residual B[5897]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,12,13,14],[1,3,5,9,10,12,14],[1,3,7,8,11,13,14],[1,4,5,11,12,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,11,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,8,11,14],[2,4,7,8,9,12,14],[2,4,7,8,10,12,13],[2,5,6,9,11,12,13],[2,5,7,9,10,11,14],[3,4,5,7,9,12,13],[3,4,6,8,9,11,13],[3,4,6,9,10,11,14],[3,5,6,8,10,12,13],[3,5,7,8,11,12,14],[4,5,6,7,10,13,14]]; G[5897]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 5898: autom. group order 2, simple, residual B[5898]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,9,11,12,14],[1,3,5,9,11,13,14],[1,3,7,8,11,12,14],[1,4,5,8,9,10,12],[1,4,6,9,10,13,14],[1,4,7,8,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,6,12,13,14],[2,4,7,9,10,11,14],[2,4,7,9,11,12,13],[2,5,6,8,10,12,14],[2,5,7,8,10,11,13],[3,4,5,7,12,13,14],[3,4,6,8,10,11,14],[3,4,6,8,11,12,13],[3,5,6,9,10,11,13],[3,5,7,9,10,12,14],[4,5,6,7,8,9,11]]; G[5898]:=Group([(2,3)(6,7)(8,9)]); # Design 5899: autom. group order 2, simple, residual B[5899]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,9,11,12,14],[1,3,5,9,11,13,14],[1,3,7,8,11,12,14],[1,4,5,8,9,10,12],[1,4,6,9,10,13,14],[1,4,7,8,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,6,12,13,14],[2,4,7,8,10,11,14],[2,4,7,9,11,12,13],[2,5,6,8,10,11,13],[2,5,7,9,10,12,14],[3,4,5,7,12,13,14],[3,4,6,8,11,12,13],[3,4,6,9,10,11,14],[3,5,6,8,10,12,14],[3,5,7,9,10,11,13],[4,5,6,7,8,9,11]]; G[5899]:=Group([(2,3)(6,7)(8,9)]); # Design 5900: autom. group order 2, simple, residual B[5900]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,9,11,12,14],[1,3,5,9,11,13,14],[1,3,7,8,11,12,14],[1,4,5,8,9,10,12],[1,4,6,9,10,13,14],[1,4,7,8,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,6,12,13,14],[2,4,7,8,10,11,14],[2,4,7,9,11,12,13],[2,5,6,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,7,12,13,14],[3,4,6,8,11,12,13],[3,4,6,9,10,11,14],[3,5,6,8,10,11,13],[3,5,7,9,10,12,14],[4,5,6,7,8,9,11]]; G[5900]:=Group([(2,3)(6,7)(8,9)]); # Design 5901: autom. group order 2, simple, residual B[5901]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,9,11,12,14],[1,3,5,9,11,13,14],[1,3,7,8,11,12,14],[1,4,5,8,9,10,12],[1,4,6,9,10,13,14],[1,4,7,8,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,6,12,13,14],[2,4,7,8,11,12,13],[2,4,7,9,10,11,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,7,12,13,14],[3,4,6,8,10,11,14],[3,4,6,9,11,12,13],[3,5,6,8,10,11,13],[3,5,7,9,10,12,14],[4,5,6,7,8,9,11]]; G[5901]:=Group([(2,3)(6,7)(8,9)]); # Design 5902: autom. group order 2, simple, residual B[5902]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,13],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,6,10,13,14],[2,4,7,8,10,11,14],[2,4,7,9,11,12,13],[2,5,6,9,11,12,13],[2,5,7,8,9,12,14],[3,4,5,7,12,13,14],[3,4,6,8,11,12,13],[3,4,6,9,10,11,14],[3,5,6,8,9,10,13],[3,5,7,9,10,11,14],[4,5,6,7,8,10,12]]; G[5902]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 5903: autom. group order 2, simple, residual B[5903]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,13],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,6,10,13,14],[2,4,7,8,10,11,14],[2,4,7,9,11,12,14],[2,5,6,9,11,12,13],[2,5,7,8,9,12,13],[3,4,5,7,12,13,14],[3,4,6,8,11,12,13],[3,4,6,9,10,11,13],[3,5,6,8,9,10,14],[3,5,7,9,10,11,14],[4,5,6,7,8,10,12]]; G[5903]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 5904: autom. group order 2, simple, residual B[5904]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,13],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,6,10,13,14],[2,4,7,8,11,12,13],[2,4,7,9,10,11,14],[2,5,6,9,11,12,13],[2,5,7,8,9,12,14],[3,4,5,7,12,13,14],[3,4,6,8,10,11,14],[3,4,6,9,11,12,13],[3,5,6,8,9,10,13],[3,5,7,9,10,11,14],[4,5,6,7,8,10,12]]; G[5904]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 5905: autom. group order 2, simple, residual B[5905]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,13],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,6,10,13,14],[2,4,7,8,11,12,14],[2,4,7,9,10,11,14],[2,5,6,9,11,12,13],[2,5,7,8,9,12,13],[3,4,5,7,12,13,14],[3,4,6,8,10,11,13],[3,4,6,9,11,12,13],[3,5,6,8,9,10,14],[3,5,7,9,10,11,14],[4,5,6,7,8,10,12]]; G[5905]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 5906: autom. group order 2, simple, residual B[5906]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,13],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,6,10,13,14],[2,4,7,8,11,12,13],[2,4,7,9,11,12,14],[2,5,6,9,11,12,13],[2,5,7,8,9,10,14],[3,4,5,7,12,13,14],[3,4,6,8,10,11,14],[3,4,6,9,10,11,13],[3,5,6,8,9,12,13],[3,5,7,9,10,11,14],[4,5,6,7,8,10,12]]; G[5906]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 5907: autom. group order 2, simple, residual B[5907]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,13],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,6,10,13,14],[2,4,7,8,11,12,14],[2,4,7,9,11,12,13],[2,5,6,9,11,12,13],[2,5,7,8,9,10,14],[3,4,5,7,12,13,14],[3,4,6,8,10,11,13],[3,4,6,9,10,11,14],[3,5,6,8,9,12,13],[3,5,7,9,10,11,14],[4,5,6,7,8,10,12]]; G[5907]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 5908: autom. group order 2, simple, residual B[5908]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,13],[1,3,5,8,11,12,14],[1,3,7,9,10,12,14],[1,4,5,9,11,13,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,13],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,6,12,13,14],[2,4,7,8,10,11,14],[2,4,7,9,11,12,13],[2,5,6,9,10,11,14],[2,5,7,8,9,12,14],[3,4,5,7,10,13,14],[3,4,6,8,11,12,13],[3,4,6,9,10,11,14],[3,5,6,8,9,10,13],[3,5,7,9,11,12,13],[4,5,6,7,8,10,12]]; G[5908]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 5909: autom. group order 2, simple, residual B[5909]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,13],[1,3,5,8,11,12,14],[1,3,7,9,10,12,14],[1,4,5,9,11,13,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,13],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,6,12,13,14],[2,4,7,8,10,11,14],[2,4,7,9,11,12,14],[2,5,6,9,10,11,14],[2,5,7,8,9,12,13],[3,4,5,7,10,13,14],[3,4,6,8,11,12,13],[3,4,6,9,10,11,13],[3,5,6,8,9,10,14],[3,5,7,9,11,12,13],[4,5,6,7,8,10,12]]; G[5909]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 5910: autom. group order 2, simple, residual B[5910]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,13],[1,3,5,8,11,12,14],[1,3,7,9,10,12,14],[1,4,5,9,11,13,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,13],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,6,12,13,14],[2,4,7,8,11,12,13],[2,4,7,9,10,11,14],[2,5,6,9,10,11,14],[2,5,7,8,9,12,14],[3,4,5,7,10,13,14],[3,4,6,8,10,11,14],[3,4,6,9,11,12,13],[3,5,6,8,9,10,13],[3,5,7,9,11,12,13],[4,5,6,7,8,10,12]]; G[5910]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 5911: autom. group order 2, simple, residual B[5911]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,13],[1,3,5,8,11,12,14],[1,3,7,9,10,12,14],[1,4,5,9,11,13,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,13],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,6,12,13,14],[2,4,7,8,11,12,14],[2,4,7,9,10,11,14],[2,5,6,9,10,11,14],[2,5,7,8,9,12,13],[3,4,5,7,10,13,14],[3,4,6,8,10,11,13],[3,4,6,9,11,12,13],[3,5,6,8,9,10,14],[3,5,7,9,11,12,13],[4,5,6,7,8,10,12]]; G[5911]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 5912: autom. group order 2, simple, residual B[5912]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,13],[1,3,5,8,11,12,14],[1,3,7,9,10,12,14],[1,4,5,9,11,13,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,13],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,6,12,13,14],[2,4,7,8,11,12,13],[2,4,7,9,11,12,14],[2,5,6,9,10,11,14],[2,5,7,8,9,10,14],[3,4,5,7,10,13,14],[3,4,6,8,10,11,14],[3,4,6,9,10,11,13],[3,5,6,8,9,12,13],[3,5,7,9,11,12,13],[4,5,6,7,8,10,12]]; G[5912]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 5913: autom. group order 2, simple, residual B[5913]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,13],[1,3,5,8,11,12,14],[1,3,7,9,10,12,14],[1,4,5,9,11,13,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,13],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,6,12,13,14],[2,4,7,8,11,12,14],[2,4,7,9,11,12,13],[2,5,6,9,10,11,14],[2,5,7,8,9,10,14],[3,4,5,7,10,13,14],[3,4,6,8,10,11,13],[3,4,6,9,10,11,14],[3,5,6,8,9,12,13],[3,5,7,9,11,12,13],[4,5,6,7,8,10,12]]; G[5913]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 5914: autom. group order 2, simple, residual B[5914]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,13],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,6,10,13,14],[2,4,7,8,10,11,14],[2,4,7,9,11,12,13],[2,5,6,8,9,12,13],[2,5,7,9,11,12,14],[3,4,5,7,12,13,14],[3,4,6,8,11,12,13],[3,4,6,9,10,11,14],[3,5,6,9,10,11,13],[3,5,7,8,9,10,14],[4,5,6,7,8,10,12]]; G[5914]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 5915: autom. group order 2, simple, residual B[5915]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,13],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,6,10,13,14],[2,4,7,8,10,11,14],[2,4,7,9,11,12,14],[2,5,6,8,9,12,13],[2,5,7,9,11,12,13],[3,4,5,7,12,13,14],[3,4,6,8,11,12,13],[3,4,6,9,10,11,13],[3,5,6,9,10,11,14],[3,5,7,8,9,10,14],[4,5,6,7,8,10,12]]; G[5915]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 5916: autom. group order 2, simple, residual B[5916]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,13],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,6,10,13,14],[2,4,7,8,11,12,13],[2,4,7,9,10,11,14],[2,5,6,8,9,12,13],[2,5,7,9,11,12,14],[3,4,5,7,12,13,14],[3,4,6,8,10,11,14],[3,4,6,9,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,9,10,14],[4,5,6,7,8,10,12]]; G[5916]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 5917: autom. group order 2, simple, residual B[5917]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,13],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,6,10,13,14],[2,4,7,8,11,12,14],[2,4,7,9,10,11,14],[2,5,6,8,9,12,13],[2,5,7,9,11,12,13],[3,4,5,7,12,13,14],[3,4,6,8,10,11,13],[3,4,6,9,11,12,13],[3,5,6,9,10,11,14],[3,5,7,8,9,10,14],[4,5,6,7,8,10,12]]; G[5917]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 5918: autom. group order 2, simple, residual B[5918]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,13],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,6,10,13,14],[2,4,7,8,11,12,13],[2,4,7,9,11,12,14],[2,5,6,8,9,12,13],[2,5,7,9,10,11,14],[3,4,5,7,12,13,14],[3,4,6,8,10,11,14],[3,4,6,9,10,11,13],[3,5,6,9,11,12,13],[3,5,7,8,9,10,14],[4,5,6,7,8,10,12]]; G[5918]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 5919: autom. group order 2, simple, residual B[5919]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,13],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,6,10,13,14],[2,4,7,8,11,12,14],[2,4,7,9,11,12,13],[2,5,6,8,9,12,13],[2,5,7,9,10,11,14],[3,4,5,7,12,13,14],[3,4,6,8,10,11,13],[3,4,6,9,10,11,14],[3,5,6,9,11,12,13],[3,5,7,8,9,10,14],[4,5,6,7,8,10,12]]; G[5919]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 5920: autom. group order 2, simple, residual B[5920]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,13],[1,3,5,8,11,12,14],[1,3,7,9,10,12,14],[1,4,5,9,11,13,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,13],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,6,12,13,14],[2,4,7,8,10,11,14],[2,4,7,9,11,12,13],[2,5,6,8,9,10,14],[2,5,7,9,11,12,14],[3,4,5,7,10,13,14],[3,4,6,8,11,12,13],[3,4,6,9,10,11,14],[3,5,6,9,10,11,13],[3,5,7,8,9,12,13],[4,5,6,7,8,10,12]]; G[5920]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 5921: autom. group order 2, simple, residual B[5921]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,13],[1,3,5,8,11,12,14],[1,3,7,9,10,12,14],[1,4,5,9,11,13,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,13],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,6,12,13,14],[2,4,7,8,10,11,14],[2,4,7,9,11,12,14],[2,5,6,8,9,10,14],[2,5,7,9,11,12,13],[3,4,5,7,10,13,14],[3,4,6,8,11,12,13],[3,4,6,9,10,11,13],[3,5,6,9,10,11,14],[3,5,7,8,9,12,13],[4,5,6,7,8,10,12]]; G[5921]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 5922: autom. group order 2, simple, residual B[5922]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,13],[1,3,5,8,11,12,14],[1,3,7,9,10,12,14],[1,4,5,9,11,13,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,13],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,6,12,13,14],[2,4,7,8,11,12,14],[2,4,7,9,10,11,14],[2,5,6,8,9,10,14],[2,5,7,9,11,12,13],[3,4,5,7,10,13,14],[3,4,6,8,10,11,13],[3,4,6,9,11,12,13],[3,5,6,9,10,11,14],[3,5,7,8,9,12,13],[4,5,6,7,8,10,12]]; G[5922]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 5923: autom. group order 2, simple, residual B[5923]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,13],[1,3,5,8,11,12,14],[1,3,7,9,10,12,14],[1,4,5,9,11,13,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,13],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,6,12,13,14],[2,4,7,8,11,12,14],[2,4,7,9,11,12,13],[2,5,6,8,9,10,14],[2,5,7,9,10,11,14],[3,4,5,7,10,13,14],[3,4,6,8,10,11,13],[3,4,6,9,10,11,14],[3,5,6,9,11,12,13],[3,5,7,8,9,12,13],[4,5,6,7,8,10,12]]; G[5923]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 5924: autom. group order 2, simple, residual B[5924]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,10,13,14],[1,3,5,9,11,12,14],[1,3,7,9,12,13,14],[1,4,5,10,12,13,14],[1,4,6,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,7,8,9,11],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,6,9,12,13],[2,4,7,8,9,12,13],[2,4,7,9,10,11,14],[2,5,6,9,10,12,14],[2,5,7,8,11,12,14],[3,4,5,7,8,10,14],[3,4,6,8,9,10,14],[3,4,6,8,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,7,11,13,14]]; G[5924]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 5925: autom. group order 2, simple, residual B[5925]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,12,13,14],[1,3,5,9,10,12,14],[1,3,7,9,11,13,14],[1,4,5,11,12,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,11,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,9,11,14],[2,4,7,8,9,12,13],[2,4,7,9,10,12,14],[2,5,6,9,11,12,13],[2,5,7,8,10,11,14],[3,4,5,7,8,12,13],[3,4,6,8,9,11,14],[3,4,6,8,10,11,13],[3,5,6,9,10,12,13],[3,5,7,8,11,12,14],[4,5,6,7,10,13,14]]; G[5925]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 5926: autom. group order 2, simple, residual B[5926]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,10,13,14],[1,3,5,9,11,12,14],[1,3,7,9,12,13,14],[1,4,5,10,12,13,14],[1,4,6,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,7,8,9,11],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,6,9,12,13],[2,4,7,8,9,12,13],[2,4,7,8,11,12,14],[2,5,6,9,10,12,14],[2,5,7,9,10,11,14],[3,4,5,7,8,10,14],[3,4,6,8,9,10,14],[3,4,6,9,10,11,13],[3,5,6,8,11,12,13],[3,5,7,8,10,12,13],[4,5,6,7,11,13,14]]; G[5926]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 5927: autom. group order 2, simple, residual B[5927]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,12,13,14],[1,3,5,9,10,12,14],[1,3,7,9,11,13,14],[1,4,5,11,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,12,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,9,11,14],[2,4,7,8,9,11,13],[2,4,7,8,10,12,14],[2,5,6,9,10,12,13],[2,5,7,9,11,12,14],[3,4,5,7,8,12,13],[3,4,6,8,9,12,14],[3,4,6,9,10,11,13],[3,5,6,8,11,12,13],[3,5,7,8,10,11,14],[4,5,6,7,10,13,14]]; G[5927]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 5928: autom. group order 2, simple, residual B[5928]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,12,13,14],[1,3,5,9,10,12,14],[1,3,7,9,11,13,14],[1,4,5,11,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,12,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,9,12,13],[2,4,7,8,9,11,13],[2,4,7,8,10,12,14],[2,5,6,9,10,11,14],[2,5,7,9,11,12,14],[3,4,5,7,8,11,14],[3,4,6,8,9,12,14],[3,4,6,9,10,11,13],[3,5,6,8,11,12,13],[3,5,7,8,10,12,13],[4,5,6,7,10,13,14]]; G[5928]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 5929: autom. group order 2, simple, residual B[5929]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,12,13,14],[1,3,5,9,10,12,14],[1,3,7,9,11,13,14],[1,4,5,11,12,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,11,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,9,11,14],[2,4,7,8,9,12,13],[2,4,7,8,10,11,14],[2,5,6,9,11,12,13],[2,5,7,9,10,12,14],[3,4,5,7,8,12,13],[3,4,6,8,9,11,14],[3,4,6,9,10,12,13],[3,5,6,8,10,11,13],[3,5,7,8,11,12,14],[4,5,6,7,10,13,14]]; G[5929]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 5930: autom. group order 2, simple, residual B[5930]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,11,12,14],[1,3,5,9,11,13,14],[1,3,7,9,11,12,14],[1,4,5,8,9,10,12],[1,4,6,9,10,13,14],[1,4,7,8,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,6,12,13,14],[2,4,7,8,10,11,14],[2,4,7,9,11,12,13],[2,5,6,9,10,11,13],[2,5,7,9,10,12,14],[3,4,5,7,12,13,14],[3,4,6,8,11,12,13],[3,4,6,9,10,11,14],[3,5,6,8,10,12,14],[3,5,7,8,10,11,13],[4,5,6,7,8,9,11]]; G[5930]:=Group([(2,3)(6,7)(8,9)]); # Design 5931: autom. group order 2, simple, residual B[5931]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,11,12,14],[1,3,5,9,11,13,14],[1,3,7,9,11,12,14],[1,4,5,8,9,10,12],[1,4,6,9,10,13,14],[1,4,7,8,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,6,12,13,14],[2,4,7,8,10,11,14],[2,4,7,9,11,12,13],[2,5,6,9,10,12,14],[2,5,7,9,10,11,13],[3,4,5,7,12,13,14],[3,4,6,8,11,12,13],[3,4,6,9,10,11,14],[3,5,6,8,10,11,13],[3,5,7,8,10,12,14],[4,5,6,7,8,9,11]]; G[5931]:=Group([(2,3)(6,7)(8,9)]); # Design 5932: autom. group order 2, simple, residual B[5932]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,11,12,14],[1,3,5,9,11,13,14],[1,3,7,9,11,12,14],[1,4,5,8,9,10,12],[1,4,6,9,10,13,14],[1,4,7,8,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,6,12,13,14],[2,4,7,8,11,12,13],[2,4,7,9,10,11,14],[2,5,6,9,10,11,13],[2,5,7,9,10,12,14],[3,4,5,7,12,13,14],[3,4,6,8,10,11,14],[3,4,6,9,11,12,13],[3,5,6,8,10,12,14],[3,5,7,8,10,11,13],[4,5,6,7,8,9,11]]; G[5932]:=Group([(2,3)(6,7)(8,9)]); # Design 5933: autom. group order 2, simple, residual B[5933]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,11,12,14],[1,3,5,9,11,13,14],[1,3,7,9,11,12,14],[1,4,5,8,9,10,12],[1,4,6,9,10,13,14],[1,4,7,8,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,6,12,13,14],[2,4,7,8,11,12,13],[2,4,7,9,10,11,14],[2,5,6,9,10,12,14],[2,5,7,9,10,11,13],[3,4,5,7,12,13,14],[3,4,6,8,10,11,14],[3,4,6,9,11,12,13],[3,5,6,8,10,11,13],[3,5,7,8,10,12,14],[4,5,6,7,8,9,11]]; G[5933]:=Group([(2,3)(6,7)(8,9)]); # Design 5934: autom. group order 2, simple B[5934]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,10,14],[1,3,5,9,11,12,14],[1,3,7,8,9,12,13],[1,4,5,10,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,11,12,14],[1,5,6,7,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,6,9,12,13],[2,4,7,9,10,11,14],[2,4,7,9,12,13,14],[2,5,6,8,11,12,14],[2,5,7,8,10,12,13],[3,4,5,7,8,10,14],[3,4,6,8,10,13,14],[3,4,6,8,11,12,13],[3,5,6,9,10,12,14],[3,5,7,9,10,11,13],[4,5,6,7,8,9,11]]; G[5934]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 5935: autom. group order 2, simple B[5935]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,10,14],[1,3,5,9,11,12,14],[1,3,7,8,9,12,13],[1,4,5,10,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,11,12,14],[1,5,6,7,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,6,9,12,14],[2,4,7,9,10,13,14],[2,4,7,9,11,12,13],[2,5,6,8,11,12,13],[2,5,7,8,10,12,14],[3,4,5,7,8,10,13],[3,4,6,8,10,11,14],[3,4,6,8,12,13,14],[3,5,6,9,10,12,13],[3,5,7,9,10,11,14],[4,5,6,7,8,9,11]]; G[5935]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 5936: autom. group order 2, simple B[5936]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,12,14],[1,3,5,9,10,12,14],[1,3,7,8,9,11,13],[1,4,5,11,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,12,14],[1,5,6,7,10,13,14],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,9,11,14],[2,4,7,8,10,11,14],[2,4,7,9,12,13,14],[2,5,6,8,10,12,13],[2,5,7,9,11,12,13],[3,4,5,7,8,12,13],[3,4,6,8,11,13,14],[3,4,6,9,10,12,13],[3,5,6,8,11,12,14],[3,5,7,9,10,11,14],[4,5,6,7,8,9,10]]; G[5936]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 5937: autom. group order 2, simple B[5937]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,12,14],[1,3,5,9,10,12,14],[1,3,7,8,9,11,13],[1,4,5,11,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,12,14],[1,5,6,7,10,13,14],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,9,12,13],[2,4,7,8,10,12,13],[2,4,7,9,11,13,14],[2,5,6,8,10,11,14],[2,5,7,9,11,12,14],[3,4,5,7,8,11,14],[3,4,6,8,12,13,14],[3,4,6,9,10,11,14],[3,5,6,8,11,12,13],[3,5,7,9,10,12,13],[4,5,6,7,8,9,10]]; G[5937]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 5938: autom. group order 2, simple B[5938]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,12,13],[1,3,5,9,10,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,12,14],[1,5,6,7,10,13,14],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,9,11,14],[2,4,7,8,11,13,14],[2,4,7,9,10,12,13],[2,5,6,8,10,12,14],[2,5,7,9,11,12,14],[3,4,5,7,8,12,13],[3,4,6,8,10,11,14],[3,4,6,9,12,13,14],[3,5,6,8,11,12,13],[3,5,7,9,10,11,13],[4,5,6,7,8,9,10]]; G[5938]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 5939: autom. group order 2, simple B[5939]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,10,14],[1,3,5,9,11,12,14],[1,3,7,8,9,12,13],[1,4,5,10,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,11,12,14],[1,5,6,7,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,6,8,12,14],[2,4,7,9,10,11,14],[2,4,7,9,12,13,14],[2,5,6,9,11,12,13],[2,5,7,8,10,12,13],[3,4,5,7,9,10,13],[3,4,6,8,10,13,14],[3,4,6,8,11,12,13],[3,5,6,9,10,12,14],[3,5,7,8,10,11,14],[4,5,6,7,8,9,11]]; G[5939]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 5940: autom. group order 2, simple B[5940]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,10,14],[1,3,5,9,11,12,14],[1,3,7,8,9,12,13],[1,4,5,10,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,11,12,14],[1,5,6,7,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,6,8,12,13],[2,4,7,9,10,13,14],[2,4,7,9,11,12,13],[2,5,6,9,11,12,14],[2,5,7,8,10,12,14],[3,4,5,7,9,10,14],[3,4,6,8,10,11,14],[3,4,6,8,12,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,7,8,9,11]]; G[5940]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 5941: autom. group order 2, simple B[5941]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,10,14],[1,3,5,9,11,12,14],[1,3,7,8,9,12,13],[1,4,5,10,12,13,14],[1,4,6,9,11,12,13],[1,4,7,8,10,11,14],[1,5,6,7,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,6,8,12,13],[2,4,7,9,10,11,13],[2,4,7,9,12,13,14],[2,5,6,9,10,12,14],[2,5,7,8,11,12,14],[3,4,5,7,9,10,14],[3,4,6,8,10,13,14],[3,4,6,8,11,12,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,7,8,9,11]]; G[5941]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 5942: autom. group order 2, simple B[5942]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,10,14],[1,3,5,9,11,12,14],[1,3,7,8,9,12,13],[1,4,5,10,12,13,14],[1,4,6,9,11,12,13],[1,4,7,8,10,11,14],[1,5,6,7,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,6,8,12,14],[2,4,7,9,10,13,14],[2,4,7,9,11,12,14],[2,5,6,9,10,12,13],[2,5,7,8,11,12,13],[3,4,5,7,9,10,13],[3,4,6,8,10,11,13],[3,4,6,8,12,13,14],[3,5,6,9,10,11,14],[3,5,7,8,10,12,14],[4,5,6,7,8,9,11]]; G[5942]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 5943: autom. group order 2, simple B[5943]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,10,13],[1,3,5,9,11,12,14],[1,3,7,8,9,12,14],[1,4,5,10,12,13,14],[1,4,6,9,11,12,13],[1,4,7,8,10,11,14],[1,5,6,7,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,6,8,12,14],[2,4,7,8,12,13,14],[2,4,7,9,10,11,14],[2,5,6,9,10,12,14],[2,5,7,9,11,12,13],[3,4,5,7,9,10,13],[3,4,6,8,11,12,13],[3,4,6,9,10,13,14],[3,5,6,8,10,11,14],[3,5,7,8,10,12,13],[4,5,6,7,8,9,11]]; G[5943]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 5944: autom. group order 2, simple B[5944]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,10,14],[1,3,5,9,11,12,14],[1,3,7,8,9,12,13],[1,4,5,10,12,13,14],[1,4,6,9,11,12,13],[1,4,7,8,10,11,14],[1,5,6,7,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,6,8,12,13],[2,4,7,8,11,12,14],[2,4,7,9,12,13,14],[2,5,6,9,10,12,14],[2,5,7,9,10,11,13],[3,4,5,7,9,10,14],[3,4,6,8,10,13,14],[3,4,6,9,10,11,13],[3,5,6,8,11,12,14],[3,5,7,8,10,12,13],[4,5,6,7,8,9,11]]; G[5944]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 5945: autom. group order 2, simple B[5945]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,10,13],[1,3,5,9,11,12,14],[1,3,7,8,9,12,14],[1,4,5,10,12,13,14],[1,4,6,9,11,12,13],[1,4,7,8,10,11,14],[1,5,6,7,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,6,8,12,14],[2,4,7,8,12,13,14],[2,4,7,9,11,12,13],[2,5,6,9,10,12,14],[2,5,7,9,10,11,14],[3,4,5,7,9,10,13],[3,4,6,8,10,11,14],[3,4,6,9,10,13,14],[3,5,6,8,11,12,13],[3,5,7,8,10,12,13],[4,5,6,7,8,9,11]]; G[5945]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 5946: autom. group order 2, simple B[5946]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,12,14],[1,3,5,9,10,12,14],[1,3,7,8,9,11,13],[1,4,5,11,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,12,14],[1,5,6,7,10,13,14],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,8,11,14],[2,4,7,8,10,12,13],[2,4,7,9,11,13,14],[2,5,6,9,10,12,13],[2,5,7,9,11,12,14],[3,4,5,7,9,12,13],[3,4,6,8,12,13,14],[3,4,6,9,10,11,14],[3,5,6,8,11,12,13],[3,5,7,8,10,11,14],[4,5,6,7,8,9,10]]; G[5946]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 5947: autom. group order 2, simple B[5947]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,12,13],[1,3,5,9,10,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,12,14],[1,5,6,7,10,13,14],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,8,11,14],[2,4,7,8,12,13,14],[2,4,7,9,10,11,14],[2,5,6,9,10,12,14],[2,5,7,9,11,12,13],[3,4,5,7,9,12,13],[3,4,6,8,10,12,13],[3,4,6,9,11,13,14],[3,5,6,8,11,12,14],[3,5,7,8,10,11,13],[4,5,6,7,8,9,10]]; G[5947]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 5948: autom. group order 2, simple B[5948]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,12,13],[1,3,5,9,10,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,12,14],[1,5,6,7,10,13,14],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,8,12,14],[2,4,7,8,11,13,14],[2,4,7,9,10,12,13],[2,5,6,9,10,11,14],[2,5,7,9,11,12,14],[3,4,5,7,9,11,13],[3,4,6,8,10,11,14],[3,4,6,9,12,13,14],[3,5,6,8,11,12,13],[3,5,7,8,10,12,13],[4,5,6,7,8,9,10]]; G[5948]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 5949: autom. group order 2, simple, residual B[5949]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,9,10,14],[1,3,5,7,9,12,13],[1,3,8,9,11,12,14],[1,4,5,10,11,13,14],[1,4,6,9,12,13,14],[1,4,7,8,12,13,14],[1,5,6,8,10,11,12],[1,6,7,8,9,10,11],[2,3,6,8,11,13,14],[2,3,8,9,10,12,13],[2,4,5,6,8,12,14],[2,4,7,8,9,11,14],[2,4,7,10,11,12,13],[2,5,6,9,11,12,13],[2,5,7,9,10,12,14],[3,4,5,9,10,11,14],[3,4,6,7,8,10,12],[3,4,6,7,9,11,13],[3,5,6,7,11,12,14],[3,5,7,8,10,13,14],[4,5,6,8,9,10,13]]; G[5949]:=Group([(2,14)(3,13)(5,12)(7,9)]); # Design 5950: autom. group order 2, simple B[5950]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,7,8,10,12],[1,3,5,9,10,12,14],[1,3,7,9,11,12,14],[1,4,5,7,9,13,14],[1,4,6,10,11,13,14],[1,4,8,10,12,13,14],[1,5,6,8,9,11,13],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,5,6,11,12,14],[2,4,7,8,9,10,14],[2,4,7,9,11,12,13],[2,5,6,9,10,11,14],[2,5,8,9,10,12,13],[3,4,5,8,11,12,13],[3,4,6,7,9,10,13],[3,4,6,8,9,10,11],[3,5,6,7,10,12,13],[3,5,7,8,10,11,14],[4,5,6,7,8,12,14]]; G[5950]:=Group([(2,13)(3,14)(5,10)(7,11)(9,12)]); # Design 5951: autom. group order 2, simple B[5951]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,7,8,10,12],[1,3,5,9,10,12,14],[1,3,7,9,11,12,14],[1,4,5,7,9,13,14],[1,4,6,10,11,13,14],[1,4,8,10,12,13,14],[1,5,6,8,9,11,13],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,5,6,11,12,14],[2,4,7,8,9,10,14],[2,4,7,9,11,12,13],[2,5,6,9,10,12,13],[2,5,8,9,10,11,14],[3,4,5,8,11,12,13],[3,4,6,7,9,10,13],[3,4,6,8,9,10,11],[3,5,6,7,10,11,14],[3,5,7,8,10,12,13],[4,5,6,7,8,12,14]]; G[5951]:=Group([(2,13)(3,14)(5,10)(7,11)(9,12)]); # Design 5952: autom. group order 2, simple, residual B[5952]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,7,8,12,14],[1,3,5,9,10,12,14],[1,3,7,9,11,12,13],[1,4,5,7,9,13,14],[1,4,6,10,12,13,14],[1,4,8,10,11,13,14],[1,5,6,8,9,10,11],[1,6,7,8,9,11,12],[2,3,6,9,10,12,13],[2,3,7,8,10,11,14],[2,4,5,6,11,12,13],[2,4,7,8,9,10,13],[2,4,7,9,11,12,14],[2,5,6,9,10,11,14],[2,5,8,9,12,13,14],[3,4,5,8,11,12,14],[3,4,6,7,9,10,14],[3,4,6,8,9,11,13],[3,5,6,7,11,13,14],[3,5,7,8,10,12,13],[4,5,6,7,8,10,12]]; G[5952]:=Group([(2,14)(3,13)(5,10)(7,12)(9,11)]); # Design 5953: autom. group order 2, simple, residual B[5953]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,7,8,10,12],[1,3,5,9,10,12,14],[1,3,7,9,11,12,14],[1,4,5,7,9,13,14],[1,4,6,10,11,13,14],[1,4,8,10,12,13,14],[1,5,6,8,9,11,13],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,8,9,10,11,13],[2,4,5,6,11,12,14],[2,4,7,8,9,10,14],[2,4,7,9,11,12,13],[2,5,6,9,10,11,14],[2,5,7,8,12,13,14],[3,4,5,8,11,12,13],[3,4,6,7,8,11,14],[3,4,6,7,9,10,13],[3,5,6,7,10,12,13],[3,5,7,8,10,11,14],[4,5,6,8,9,10,12]]; G[5953]:=Group([(2,13)(3,14)(5,10)(7,11)(9,12)]); # Design 5954: autom. group order 2, simple, residual B[5954]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,6,7,8,10,11],[1,3,5,8,9,11,14],[1,3,7,8,9,12,13],[1,4,5,8,10,13,14],[1,4,6,9,11,13,14],[1,4,7,11,12,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,12],[2,3,6,7,9,13,14],[2,3,9,10,11,12,14],[2,4,5,6,9,12,13],[2,4,7,8,9,12,14],[2,4,8,9,10,11,13],[2,5,6,8,11,12,14],[2,5,7,8,10,13,14],[3,4,5,7,10,12,14],[3,4,6,7,8,11,14],[3,4,6,8,10,12,13],[3,5,6,8,11,12,13],[3,5,7,9,10,11,13],[4,5,6,7,9,10,11]]; G[5954]:=Group([(2,14)(3,13)(5,11)(7,9)(8,12)]); # Design 5955: autom. group order 2, simple, residual B[5955]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,9,11,12],[1,3,5,9,11,13,14],[1,3,7,9,12,13,14],[1,4,5,8,10,12,14],[1,4,6,9,10,12,13],[1,4,7,8,9,10,14],[1,5,6,8,10,11,13],[1,6,7,8,11,12,14],[2,3,6,7,8,10,14],[2,3,8,9,10,11,12],[2,4,5,6,12,13,14],[2,4,7,10,11,13,14],[2,4,8,9,11,13,14],[2,5,6,8,9,12,14],[2,5,7,9,10,12,13],[3,4,5,7,11,12,14],[3,4,6,7,8,9,13],[3,4,6,8,11,12,13],[3,5,6,9,10,11,14],[3,5,7,8,10,12,13],[4,5,6,7,9,10,11]]; G[5955]:=Group([(1,13)(3,14)(5,11)(6,10)]); # Design 5956: autom. group order 2, simple B[5956]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,9,11,12],[1,3,5,11,12,13,14],[1,3,7,8,9,13,14],[1,4,5,8,10,12,14],[1,4,6,8,9,10,13],[1,4,7,9,10,12,14],[1,5,6,9,10,11,13],[1,6,7,8,11,12,14],[2,3,6,7,8,10,14],[2,3,8,9,10,11,12],[2,4,5,6,12,13,14],[2,4,7,10,11,13,14],[2,4,8,9,11,13,14],[2,5,6,8,9,12,14],[2,5,7,9,10,12,13],[3,4,5,7,9,11,14],[3,4,6,7,9,12,13],[3,4,6,8,11,12,13],[3,5,6,9,10,11,14],[3,5,7,8,10,12,13],[4,5,6,7,8,10,11]]; G[5956]:=Group([(1,13)(3,14)(5,11)(6,10)]); # Design 5957: autom. group order 2, simple, residual B[5957]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,7,9,12,14],[1,3,5,10,12,13,14],[1,3,7,9,10,11,14],[1,4,5,8,9,11,14],[1,4,6,8,10,12,14],[1,4,7,8,9,12,13],[1,5,6,9,10,11,13],[1,6,7,8,11,12,13],[2,3,6,7,8,11,14],[2,3,8,9,11,12,13],[2,4,5,6,12,13,14],[2,4,7,9,10,13,14],[2,4,8,10,11,13,14],[2,5,6,9,10,11,12],[2,5,7,8,9,10,12],[3,4,5,7,11,12,13],[3,4,6,7,9,10,13],[3,4,6,9,11,12,14],[3,5,6,8,9,13,14],[3,5,7,8,10,12,14],[4,5,6,7,8,10,11]]; G[5957]:=Group([(1,13)(3,14)(5,10)(6,11)(7,8)]); # Design 5958: autom. group order 2, simple, residual B[5958]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,7,9,12,14],[1,3,5,10,12,13,14],[1,3,7,9,10,11,14],[1,4,5,8,11,12,14],[1,4,6,8,9,10,14],[1,4,7,8,9,12,13],[1,5,6,9,10,11,13],[1,6,7,8,11,12,13],[2,3,6,7,8,11,14],[2,3,8,9,11,12,13],[2,4,5,6,12,13,14],[2,4,7,9,10,13,14],[2,4,8,10,11,13,14],[2,5,6,9,10,11,12],[2,5,7,8,9,10,12],[3,4,5,7,9,11,13],[3,4,6,7,10,12,13],[3,4,6,9,11,12,14],[3,5,6,8,9,13,14],[3,5,7,8,10,12,14],[4,5,6,7,8,10,11]]; G[5958]:=Group([(1,13)(3,14)(5,10)(6,11)(7,8)]); # Design 5959: autom. group order 2, simple B[5959]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,6,7,8,10,11],[1,3,5,8,9,11,14],[1,3,7,8,9,12,13],[1,4,5,8,10,13,14],[1,4,6,9,11,13,14],[1,4,7,11,12,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,12],[2,3,6,9,11,12,14],[2,3,7,9,10,13,14],[2,4,5,6,9,12,13],[2,4,7,8,9,12,14],[2,4,8,9,10,11,13],[2,5,6,7,8,13,14],[2,5,8,10,11,12,14],[3,4,5,7,10,12,14],[3,4,6,7,8,11,14],[3,4,6,8,10,12,13],[3,5,6,8,11,12,13],[3,5,7,9,10,11,13],[4,5,6,7,9,10,11]]; G[5959]:=Group([(2,14)(3,13)(5,11)(7,9)(8,12)]); # Design 5960: autom. group order 2, simple B[5960]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,6,7,8,10,11],[1,3,5,8,9,11,14],[1,3,7,8,9,12,13],[1,4,5,8,10,13,14],[1,4,6,9,11,13,14],[1,4,7,11,12,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,12],[2,3,6,8,12,13,14],[2,3,7,9,10,13,14],[2,4,5,6,9,12,13],[2,4,7,8,9,12,14],[2,4,8,9,10,11,13],[2,5,6,7,9,11,14],[2,5,8,10,11,12,14],[3,4,5,7,10,12,14],[3,4,6,7,8,11,14],[3,4,6,9,10,11,12],[3,5,6,8,11,12,13],[3,5,7,9,10,11,13],[4,5,6,7,8,10,13]]; G[5960]:=Group([(2,14)(3,13)(5,11)(7,9)(8,12)]); # Design 5961: autom. group order 2, simple B[5961]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,9,10,11],[1,3,5,9,11,12,14],[1,3,7,8,9,12,14],[1,4,5,9,10,13,14],[1,4,6,8,11,13,14],[1,4,7,11,12,13,14],[1,5,6,8,10,12,13],[1,6,7,8,9,10,12],[2,3,6,9,12,13,14],[2,3,7,8,10,13,14],[2,4,5,6,8,12,14],[2,4,7,8,9,12,13],[2,4,8,9,10,11,14],[2,5,6,7,11,12,14],[2,5,9,10,11,12,13],[3,4,5,7,10,12,13],[3,4,6,7,9,11,13],[3,4,6,8,10,11,12],[3,5,6,8,9,11,13],[3,5,7,8,10,11,14],[4,5,6,7,9,10,14]]; G[5961]:=Group([(2,13)(3,14)(5,11)(7,8)(9,12)]); # Design 5962: autom. group order 2, simple, residual B[5962]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,9,12,14],[1,3,5,11,12,13,14],[1,3,7,8,9,13,14],[1,4,5,8,10,12,14],[1,4,6,8,9,10,13],[1,4,7,9,10,11,12],[1,5,6,9,10,11,13],[1,6,7,8,11,12,14],[2,3,6,8,9,11,12],[2,3,7,9,10,12,13],[2,4,5,6,12,13,14],[2,4,7,10,11,13,14],[2,4,8,9,11,13,14],[2,5,6,7,8,10,11],[2,5,8,9,10,12,14],[3,4,5,7,9,11,14],[3,4,6,7,8,10,14],[3,4,6,8,11,12,13],[3,5,6,9,10,11,14],[3,5,7,8,10,12,13],[4,5,6,7,9,12,13]]; G[5962]:=Group([(1,13)(3,14)(5,11)(6,10)]); # Design 5963: autom. group order 2, simple B[5963]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,9,10,11],[1,3,5,9,11,12,14],[1,3,7,8,9,12,14],[1,4,5,9,10,13,14],[1,4,6,8,11,13,14],[1,4,7,11,12,13,14],[1,5,6,8,10,12,13],[1,6,7,8,9,10,12],[2,3,6,9,12,13,14],[2,3,7,8,10,13,14],[2,4,5,6,8,12,14],[2,4,7,8,9,12,13],[2,4,8,9,10,11,14],[2,5,6,9,11,12,13],[2,5,7,10,11,12,14],[3,4,5,7,10,12,13],[3,4,6,7,9,11,13],[3,4,6,8,10,11,12],[3,5,6,7,8,11,14],[3,5,8,9,10,11,13],[4,5,6,7,9,10,14]]; G[5963]:=Group([(2,13)(3,14)(5,11)(7,8)(9,12)]); # Design 5964: autom. group order 2, simple, residual B[5964]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,6,7,8,10,11],[1,3,5,8,9,11,14],[1,3,7,8,9,12,13],[1,4,5,8,10,13,14],[1,4,6,9,11,13,14],[1,4,7,11,12,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,12],[2,3,6,9,11,12,14],[2,3,8,10,12,13,14],[2,4,5,6,9,12,13],[2,4,7,8,9,12,14],[2,4,8,9,10,11,13],[2,5,6,7,8,13,14],[2,5,7,9,10,11,14],[3,4,5,7,10,12,14],[3,4,6,7,8,11,14],[3,4,6,7,9,10,13],[3,5,6,8,11,12,13],[3,5,7,9,10,11,13],[4,5,6,8,10,11,12]]; G[5964]:=Group([(2,14)(3,13)(5,11)(7,9)(8,12)]); # Design 5965: autom. group order 2, simple B[5965]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,6,7,8,10,11],[1,3,5,8,9,11,14],[1,3,7,8,9,12,13],[1,4,5,8,10,13,14],[1,4,6,9,11,13,14],[1,4,7,11,12,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,12],[2,3,6,8,12,13,14],[2,3,9,10,11,12,14],[2,4,5,6,9,12,13],[2,4,7,8,9,12,14],[2,4,8,9,10,11,13],[2,5,6,7,9,11,14],[2,5,7,8,10,13,14],[3,4,5,7,10,12,14],[3,4,6,7,8,11,14],[3,4,6,7,9,10,13],[3,5,6,8,11,12,13],[3,5,7,9,10,11,13],[4,5,6,8,10,11,12]]; G[5965]:=Group([(2,14)(3,13)(5,11)(7,9)(8,12)]); # Design 5966: autom. group order 2, simple, residual B[5966]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,9,12,14],[1,3,5,11,12,13,14],[1,3,7,9,10,11,14],[1,4,5,8,9,10,14],[1,4,6,8,11,12,14],[1,4,7,8,9,12,13],[1,5,6,9,10,11,13],[1,6,7,8,10,12,13],[2,3,6,8,9,11,12],[2,3,8,9,10,12,13],[2,4,5,6,12,13,14],[2,4,7,9,11,13,14],[2,4,8,10,11,13,14],[2,5,6,7,8,10,11],[2,5,7,9,10,12,14],[3,4,5,7,10,12,13],[3,4,6,7,8,10,14],[3,4,6,7,9,11,13],[3,5,6,8,9,13,14],[3,5,7,8,11,12,14],[4,5,6,9,10,11,12]]; G[5966]:=Group([(1,13)(3,14)(5,11)(6,10)(7,8)]); # Design 5967: autom. group order 2, simple, residual B[5967]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,9,10,11],[1,3,5,9,11,12,14],[1,3,7,8,9,12,14],[1,4,5,9,10,13,14],[1,4,6,8,11,13,14],[1,4,7,11,12,13,14],[1,5,6,8,10,12,13],[1,6,7,8,9,10,12],[2,3,6,9,12,13,14],[2,3,8,10,11,12,13],[2,4,5,6,8,12,14],[2,4,7,8,9,12,13],[2,4,8,9,10,11,14],[2,5,6,7,11,12,14],[2,5,7,9,10,13,14],[3,4,5,7,10,12,13],[3,4,6,7,8,10,14],[3,4,6,7,9,11,13],[3,5,6,8,9,11,13],[3,5,7,8,10,11,14],[4,5,6,9,10,11,12]]; G[5967]:=Group([(2,13)(3,14)(5,11)(7,8)(9,12)]); # Design 5968: autom. group order 2, simple, residual B[5968]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,9,12,14],[1,3,5,11,12,13,14],[1,3,7,8,9,13,14],[1,4,5,8,9,10,14],[1,4,6,8,11,12,14],[1,4,7,9,10,11,12],[1,5,6,9,10,11,13],[1,6,7,8,10,12,13],[2,3,6,8,9,11,12],[2,3,8,9,10,12,13],[2,4,5,6,12,13,14],[2,4,7,9,11,13,14],[2,4,8,10,11,13,14],[2,5,6,7,8,10,11],[2,5,7,9,10,12,14],[3,4,5,7,10,12,13],[3,4,6,7,8,10,14],[3,4,6,7,9,11,13],[3,5,6,9,10,11,14],[3,5,7,8,11,12,14],[4,5,6,8,9,12,13]]; G[5968]:=Group([(1,13)(3,14)(5,11)(6,10)(7,8)]); # Design 5969: autom. group order 2, simple B[5969]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,7,9,12,14],[1,3,5,10,12,13,14],[1,3,7,9,10,11,14],[1,4,5,8,9,11,14],[1,4,6,8,10,12,14],[1,4,7,8,9,12,13],[1,5,6,9,10,11,13],[1,6,7,8,11,12,13],[2,3,6,9,11,12,14],[2,3,8,9,11,12,13],[2,4,5,6,12,13,14],[2,4,7,9,10,13,14],[2,4,8,10,11,13,14],[2,5,6,7,8,10,11],[2,5,7,8,9,10,12],[3,4,5,7,11,12,13],[3,4,6,7,8,11,14],[3,4,6,7,9,10,13],[3,5,6,8,9,13,14],[3,5,7,8,10,12,14],[4,5,6,9,10,11,12]]; G[5969]:=Group([(1,13)(3,14)(5,10)(6,11)(7,8)]); # Design 5970: autom. group order 2, simple B[5970]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,7,9,12,14],[1,3,5,10,12,13,14],[1,3,7,9,10,11,14],[1,4,5,8,11,12,14],[1,4,6,8,9,10,14],[1,4,7,8,9,12,13],[1,5,6,9,10,11,13],[1,6,7,8,11,12,13],[2,3,6,9,11,12,14],[2,3,8,9,11,12,13],[2,4,5,6,12,13,14],[2,4,7,9,10,13,14],[2,4,8,10,11,13,14],[2,5,6,7,8,10,11],[2,5,7,8,9,10,12],[3,4,5,7,9,11,13],[3,4,6,7,8,11,14],[3,4,6,7,10,12,13],[3,5,6,8,9,13,14],[3,5,7,8,10,12,14],[4,5,6,9,10,11,12]]; G[5970]:=Group([(1,13)(3,14)(5,10)(6,11)(7,8)]); # Design 5971: autom. group order 2, simple, residual B[5971]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,6,7,8,9,13],[1,3,5,8,10,11,14],[1,3,7,9,12,13,14],[1,4,5,9,10,13,14],[1,4,6,8,11,12,14],[1,4,8,9,11,12,13],[1,5,6,7,8,10,12],[1,6,7,9,10,11,14],[2,3,6,8,9,11,14],[2,3,7,9,10,11,12],[2,4,5,6,9,12,14],[2,4,7,8,10,12,14],[2,4,7,8,10,13,14],[2,5,6,11,12,13,14],[2,5,8,9,10,11,13],[3,4,5,7,11,13,14],[3,4,6,7,8,11,13],[3,4,6,9,10,12,13],[3,5,6,8,10,12,13],[3,5,7,8,9,12,14],[4,5,6,7,9,10,11]]; G[5971]:=Group([(1,9)(2,10)(3,11)(4,7)(5,6)(8,14)]); # Design 5972: autom. group order 2, simple B[5972]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,11,12],[1,3,5,9,11,13,14],[1,3,7,10,11,12,13],[1,4,5,7,9,10,14],[1,4,6,7,11,12,14],[1,4,8,9,10,12,14],[1,5,6,8,12,13,14],[1,6,7,8,9,10,13],[2,3,6,7,8,10,14],[2,3,7,8,9,12,14],[2,4,5,6,12,13,14],[2,4,7,9,11,13,14],[2,4,8,10,11,13,14],[2,5,6,9,10,11,12],[2,5,7,9,10,12,13],[3,4,5,8,10,12,13],[3,4,6,7,9,12,13],[3,4,6,8,9,11,13],[3,5,6,9,10,11,14],[3,5,7,8,11,12,14],[4,5,6,7,8,10,11]]; G[5972]:=Group([(1,13)(3,14)(5,11)(6,10)(7,8)]); # Design 5973: autom. group order 2, simple B[5973]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,11,12],[1,3,5,11,12,13,14],[1,3,7,9,10,11,13],[1,4,5,7,9,10,14],[1,4,6,7,11,12,14],[1,4,8,9,10,12,14],[1,5,6,8,9,13,14],[1,6,7,8,10,12,13],[2,3,6,7,8,10,14],[2,3,7,8,9,12,14],[2,4,5,6,12,13,14],[2,4,7,9,11,13,14],[2,4,8,10,11,13,14],[2,5,6,9,10,11,12],[2,5,7,9,10,12,13],[3,4,5,8,10,12,13],[3,4,6,7,9,12,13],[3,4,6,8,9,11,13],[3,5,6,9,10,11,14],[3,5,7,8,11,12,14],[4,5,6,7,8,10,11]]; G[5973]:=Group([(1,13)(3,14)(5,11)(6,10)(7,8)]); # Design 5974: autom. group order 2, simple, residual B[5974]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,11,12],[1,3,5,9,11,13,14],[1,3,7,8,12,13,14],[1,4,5,7,9,10,14],[1,4,6,7,11,12,14],[1,4,8,9,10,12,14],[1,5,6,10,11,12,13],[1,6,7,8,9,10,13],[2,3,6,7,8,10,14],[2,3,7,9,10,11,12],[2,4,5,6,12,13,14],[2,4,7,9,11,13,14],[2,4,8,10,11,13,14],[2,5,6,8,9,12,14],[2,5,7,9,10,12,13],[3,4,5,8,10,12,13],[3,4,6,7,9,12,13],[3,4,6,8,9,11,13],[3,5,6,9,10,11,14],[3,5,7,8,11,12,14],[4,5,6,7,8,10,11]]; G[5974]:=Group([(1,13)(3,14)(5,11)(6,10)(7,8)]); # Design 5975: autom. group order 2, simple, residual B[5975]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,11,12],[1,3,5,9,11,13,14],[1,3,7,8,12,13,14],[1,4,5,7,10,12,14],[1,4,6,7,9,11,14],[1,4,8,9,10,12,14],[1,5,6,10,11,12,13],[1,6,7,8,9,10,13],[2,3,6,7,8,10,14],[2,3,7,9,10,11,12],[2,4,5,6,12,13,14],[2,4,7,9,11,13,14],[2,4,8,10,11,13,14],[2,5,6,8,9,12,14],[2,5,7,9,10,12,13],[3,4,5,8,9,10,13],[3,4,6,7,9,12,13],[3,4,6,8,11,12,13],[3,5,6,9,10,11,14],[3,5,7,8,11,12,14],[4,5,6,7,8,10,11]]; G[5975]:=Group([(1,13)(3,14)(5,11)(6,10)(7,8)]); # Design 5976: autom. group order 2, simple B[5976]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,11,12],[1,3,5,11,12,13,14],[1,3,7,8,9,13,14],[1,4,5,7,9,10,14],[1,4,6,7,11,12,14],[1,4,8,9,10,12,14],[1,5,6,9,10,11,13],[1,6,7,8,10,12,13],[2,3,6,7,8,10,14],[2,3,7,9,10,11,12],[2,4,5,6,12,13,14],[2,4,7,9,11,13,14],[2,4,8,10,11,13,14],[2,5,6,8,9,12,14],[2,5,7,9,10,12,13],[3,4,5,8,10,12,13],[3,4,6,7,9,12,13],[3,4,6,8,9,11,13],[3,5,6,9,10,11,14],[3,5,7,8,11,12,14],[4,5,6,7,8,10,11]]; G[5976]:=Group([(1,13)(3,14)(5,11)(6,10)(7,8)]); # Design 5977: autom. group order 2, simple, residual B[5977]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,13],[1,2,6,8,9,11,12],[1,3,5,9,11,13,14],[1,3,7,9,12,13,14],[1,4,5,7,11,12,14],[1,4,6,8,11,12,13],[1,4,7,8,9,10,13],[1,5,6,9,10,11,14],[1,6,7,8,10,12,14],[2,3,6,7,8,11,14],[2,3,7,9,10,11,12],[2,4,5,6,12,13,14],[2,4,7,10,11,13,14],[2,4,8,9,11,13,14],[2,5,6,7,9,12,13],[2,5,8,9,10,12,14],[3,4,5,8,10,12,14],[3,4,6,7,8,9,14],[3,4,6,9,10,12,13],[3,5,6,8,10,11,13],[3,5,7,8,11,12,13],[4,5,6,7,9,10,11]]; G[5977]:=Group([(1,14)(3,13)(5,11)(6,10)]); # Design 5978: autom. group order 2, simple, residual B[5978]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,13],[1,2,6,8,9,11,12],[1,3,5,9,11,13,14],[1,3,7,8,12,13,14],[1,4,5,7,9,11,14],[1,4,6,8,11,12,13],[1,4,7,9,10,12,13],[1,5,6,10,11,12,14],[1,6,7,8,9,10,14],[2,3,6,7,8,11,14],[2,3,7,9,10,11,12],[2,4,5,6,12,13,14],[2,4,7,10,11,13,14],[2,4,8,9,11,13,14],[2,5,6,7,9,12,13],[2,5,8,9,10,12,14],[3,4,5,8,10,12,14],[3,4,6,7,9,12,14],[3,4,6,8,9,10,13],[3,5,6,9,10,11,13],[3,5,7,8,11,12,13],[4,5,6,7,8,10,11]]; G[5978]:=Group([(1,14)(3,13)(5,11)(6,10)]); # Design 5979: autom. group order 2, simple, residual B[5979]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,13],[1,2,6,8,9,11,12],[1,3,5,11,12,13,14],[1,3,7,8,9,13,14],[1,4,5,7,9,11,14],[1,4,6,8,10,12,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,11,12,13],[2,3,6,7,8,11,14],[2,3,7,9,10,11,12],[2,4,5,6,12,13,14],[2,4,7,10,11,13,14],[2,4,8,9,11,13,14],[2,5,6,7,9,12,13],[2,5,8,9,10,12,14],[3,4,5,8,11,12,13],[3,4,6,7,9,12,14],[3,4,6,8,9,10,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,14],[4,5,6,7,8,10,11]]; G[5979]:=Group([(1,14)(3,13)(5,11)(6,10)]); # Design 5980: autom. group order 2, simple B[5980]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,13],[1,2,6,8,9,11,12],[1,3,5,11,12,13,14],[1,3,7,8,9,13,14],[1,4,5,7,9,11,14],[1,4,6,8,11,12,13],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,6,7,8,10,12,14],[2,3,6,7,8,11,14],[2,3,7,9,10,11,12],[2,4,5,6,12,13,14],[2,4,7,10,11,13,14],[2,4,8,9,11,13,14],[2,5,6,7,9,12,13],[2,5,8,9,10,12,14],[3,4,5,8,10,12,14],[3,4,6,7,9,12,14],[3,4,6,8,9,10,13],[3,5,6,9,10,11,13],[3,5,7,8,11,12,13],[4,5,6,7,8,10,11]]; G[5980]:=Group([(1,14)(3,13)(5,11)(6,10)]); # Design 5981: autom. group order 2, simple, residual B[5981]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,12,13,14],[1,3,5,8,9,10,13],[1,3,7,8,9,11,14],[1,4,5,7,10,12,14],[1,4,6,8,9,12,14],[1,4,9,10,11,12,13],[1,5,6,7,8,11,12],[1,6,7,9,10,11,13],[2,3,6,7,9,11,12],[2,3,7,8,10,12,13],[2,4,5,6,9,11,13],[2,4,7,8,9,12,13],[2,4,7,8,10,11,14],[2,5,6,9,10,12,14],[2,5,8,9,10,11,14],[3,4,5,11,12,13,14],[3,4,6,7,9,10,14],[3,4,6,8,11,13,14],[3,5,6,8,10,11,12],[3,5,7,9,12,13,14],[4,5,6,7,8,10,13]]; G[5981]:=Group([(2,13)(3,10)(4,9)(5,11)(8,12)]); # Design 5982: autom. group order 2, simple B[5982]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,8,9,10,12],[1,3,5,9,10,12,14],[1,3,7,9,11,12,13],[1,4,5,7,9,13,14],[1,4,6,10,12,13,14],[1,4,8,10,11,13,14],[1,5,6,7,8,11,14],[1,6,7,8,9,11,12],[2,3,6,7,10,11,14],[2,3,7,8,12,13,14],[2,4,5,6,11,12,13],[2,4,7,8,9,10,13],[2,4,7,9,11,12,14],[2,5,6,9,12,13,14],[2,5,8,9,10,11,14],[3,4,5,8,11,12,14],[3,4,6,7,9,10,14],[3,4,6,8,9,11,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,7,8,10,12]]; G[5982]:=Group([(2,14)(3,13)(5,10)(7,12)(9,11)]); # Design 5983: autom. group order 2, simple, residual B[5983]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,8,9,10,12],[1,3,5,9,10,12,14],[1,3,7,9,11,12,13],[1,4,5,7,9,13,14],[1,4,6,10,12,13,14],[1,4,8,10,11,13,14],[1,5,6,7,8,11,14],[1,6,7,8,9,11,12],[2,3,6,7,12,13,14],[2,3,7,8,10,11,14],[2,4,5,6,11,12,13],[2,4,7,8,9,10,13],[2,4,7,9,11,12,14],[2,5,6,9,10,11,14],[2,5,8,9,12,13,14],[3,4,5,8,11,12,14],[3,4,6,7,9,10,14],[3,4,6,8,9,11,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,7,8,10,12]]; G[5983]:=Group([(2,14)(3,13)(5,10)(7,12)(9,11)]); # Design 5984: autom. group order 2, simple, residual B[5984]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,8,9,12,13],[1,3,5,9,10,12,14],[1,3,7,9,11,12,14],[1,4,5,7,9,13,14],[1,4,6,10,11,13,14],[1,4,8,10,12,13,14],[1,5,6,7,8,10,11],[1,6,7,8,9,11,12],[2,3,6,7,10,12,14],[2,3,7,8,11,13,14],[2,4,5,6,11,12,14],[2,4,7,8,9,10,14],[2,4,7,9,11,12,13],[2,5,6,9,10,12,13],[2,5,8,9,10,11,14],[3,4,5,8,11,12,13],[3,4,6,7,9,10,13],[3,4,6,8,9,10,11],[3,5,6,9,11,13,14],[3,5,7,8,10,12,13],[4,5,6,7,8,12,14]]; G[5984]:=Group([(2,13)(3,14)(5,10)(7,11)(9,12)]); # Design 5985: autom. group order 2, simple, residual B[5985]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,8,9,10,12],[1,3,5,9,10,12,14],[1,3,7,9,11,12,13],[1,4,5,7,9,13,14],[1,4,6,10,12,13,14],[1,4,8,10,11,13,14],[1,5,6,7,8,11,14],[1,6,7,8,9,11,12],[2,3,6,7,10,11,14],[2,3,8,9,11,13,14],[2,4,5,6,11,12,13],[2,4,7,8,9,10,13],[2,4,7,9,11,12,14],[2,5,6,9,12,13,14],[2,5,7,8,10,12,14],[3,4,5,8,11,12,14],[3,4,6,7,8,12,13],[3,4,6,7,9,10,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,8,9,10,11]]; G[5985]:=Group([(2,14)(3,13)(5,10)(7,12)(9,11)]); # Design 5986: autom. group order 2, simple B[5986]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,8,9,10,12],[1,3,5,9,10,12,14],[1,3,7,9,11,12,13],[1,4,5,7,9,13,14],[1,4,6,10,12,13,14],[1,4,8,10,11,13,14],[1,5,6,7,8,11,14],[1,6,7,8,9,11,12],[2,3,6,7,12,13,14],[2,3,8,9,11,13,14],[2,4,5,6,11,12,13],[2,4,7,8,9,10,13],[2,4,7,9,11,12,14],[2,5,6,9,10,11,14],[2,5,7,8,10,12,14],[3,4,5,8,11,12,14],[3,4,6,7,8,10,11],[3,4,6,7,9,10,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,8,9,12,13]]; G[5986]:=Group([(2,14)(3,13)(5,10)(7,12)(9,11)]); # Design 5987: autom. group order 2, simple, residual B[5987]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,8,9,10,14],[1,3,5,9,11,12,14],[1,3,7,9,10,12,13],[1,4,5,7,9,13,14],[1,4,6,11,12,13,14],[1,4,8,10,11,13,14],[1,5,6,7,8,11,12],[1,6,7,8,9,10,12],[2,3,6,7,10,11,14],[2,3,8,9,11,12,13],[2,4,5,6,10,12,13],[2,4,7,8,9,11,13],[2,4,7,9,10,12,14],[2,5,6,9,12,13,14],[2,5,7,8,11,12,14],[3,4,5,8,10,12,14],[3,4,6,7,8,12,13],[3,4,6,7,9,11,14],[3,5,6,9,10,11,13],[3,5,7,8,10,13,14],[4,5,6,8,9,10,11]]; G[5987]:=Group([(2,14)(3,13)(5,11)(7,12)(9,10)]); # Design 5988: autom. group order 2, simple, residual B[5988]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,12,13,14],[1,3,5,8,9,10,13],[1,3,7,8,9,11,14],[1,4,5,7,10,12,14],[1,4,6,8,9,12,14],[1,4,9,10,11,12,13],[1,5,6,7,8,11,12],[1,6,7,9,10,11,13],[2,3,6,9,11,12,14],[2,3,7,8,10,12,13],[2,4,5,6,9,11,13],[2,4,7,8,9,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,10,12],[2,5,8,9,10,11,14],[3,4,5,11,12,13,14],[3,4,6,7,8,11,13],[3,4,6,7,9,10,14],[3,5,6,8,10,11,12],[3,5,7,9,12,13,14],[4,5,6,8,10,13,14]]; G[5988]:=Group([(2,13)(3,10)(4,9)(5,11)(8,12)]); # Design 5989: autom. group order 2, simple, residual B[5989]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,8,9,10,11],[1,3,5,9,10,12,14],[1,3,7,9,11,12,14],[1,4,5,7,9,13,14],[1,4,6,10,11,13,14],[1,4,8,10,12,13,14],[1,5,6,7,8,12,13],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,10,12,13],[2,4,5,6,11,12,14],[2,4,7,8,9,10,14],[2,4,7,9,11,12,13],[2,5,6,7,10,12,14],[2,5,8,9,11,13,14],[3,4,5,8,11,12,13],[3,4,6,7,8,11,14],[3,4,6,7,9,10,13],[3,5,6,9,10,11,13],[3,5,7,8,10,11,14],[4,5,6,8,9,10,12]]; G[5989]:=Group([(2,13)(3,14)(5,10)(7,11)(9,12)]); # Design 5990: autom. group order 2, simple B[5990]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,8,9,10,12],[1,3,5,9,10,12,14],[1,3,7,9,11,12,13],[1,4,5,7,9,13,14],[1,4,6,10,12,13,14],[1,4,8,10,11,13,14],[1,5,6,7,8,11,14],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,8,10,11,14],[2,4,5,6,11,12,13],[2,4,7,8,9,10,13],[2,4,7,9,11,12,14],[2,5,6,7,10,12,14],[2,5,8,9,12,13,14],[3,4,5,8,11,12,14],[3,4,6,7,8,12,13],[3,4,6,7,9,10,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,8,9,10,11]]; G[5990]:=Group([(2,14)(3,13)(5,10)(7,12)(9,11)]); # Design 5991: autom. group order 2, simple B[5991]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,8,9,10,11],[1,3,5,9,10,12,14],[1,3,7,9,11,12,14],[1,4,5,7,9,13,14],[1,4,6,10,11,13,14],[1,4,8,10,12,13,14],[1,5,6,7,8,12,13],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,5,6,11,12,14],[2,4,7,8,9,10,14],[2,4,7,9,11,12,13],[2,5,6,7,10,12,14],[2,5,8,9,10,12,13],[3,4,5,8,11,12,13],[3,4,6,7,8,10,12],[3,4,6,7,9,10,13],[3,5,6,9,10,11,13],[3,5,7,8,10,11,14],[4,5,6,8,9,11,14]]; G[5991]:=Group([(2,13)(3,14)(5,10)(7,11)(9,12)]); # Design 5992: autom. group order 2, simple B[5992]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,8,9,10,12],[1,3,5,9,10,12,14],[1,3,7,9,11,12,13],[1,4,5,7,9,13,14],[1,4,6,10,12,13,14],[1,4,8,10,11,13,14],[1,5,6,7,8,11,14],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,5,6,11,12,13],[2,4,7,8,9,10,13],[2,4,7,9,11,12,14],[2,5,6,7,10,12,14],[2,5,8,9,10,11,14],[3,4,5,8,11,12,14],[3,4,6,7,8,10,11],[3,4,6,7,9,10,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,8,9,12,13]]; G[5992]:=Group([(2,14)(3,13)(5,10)(7,12)(9,11)]); # Design 5993: autom. group order 2, simple, residual B[5993]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,6,8,10,11,14],[1,3,5,8,9,12,14],[1,3,7,8,9,11,13],[1,4,5,8,10,13,14],[1,4,6,9,12,13,14],[1,4,7,11,12,13,14],[1,5,6,7,9,10,12],[1,6,7,8,9,10,11],[2,3,6,7,9,13,14],[2,3,7,8,10,12,13],[2,4,5,6,9,11,13],[2,4,7,8,9,11,14],[2,4,8,9,10,12,13],[2,5,6,8,11,12,14],[2,5,7,9,10,12,14],[3,4,5,7,10,11,14],[3,4,6,7,8,12,14],[3,4,6,9,10,11,12],[3,5,6,8,11,12,13],[3,5,9,10,11,13,14],[4,5,6,7,8,10,13]]; G[5993]:=Group([(2,14)(3,13)(5,12)(7,9)(8,11)]); # Design 5994: autom. group order 2, simple, residual B[5994]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,13],[1,3,5,9,11,12,14],[1,3,7,8,9,12,14],[1,4,5,9,10,13,14],[1,4,6,8,11,13,14],[1,4,7,11,12,13,14],[1,5,6,7,8,10,11],[1,6,7,8,9,10,12],[2,3,6,7,9,11,14],[2,3,7,8,10,13,14],[2,4,5,6,8,12,14],[2,4,7,8,9,12,13],[2,4,8,9,10,11,14],[2,5,6,9,11,12,13],[2,5,7,10,11,12,14],[3,4,5,7,10,12,13],[3,4,6,7,9,11,13],[3,4,6,8,10,11,12],[3,5,6,8,12,13,14],[3,5,8,9,10,11,13],[4,5,6,7,9,10,14]]; G[5994]:=Group([(2,13)(3,14)(5,11)(7,8)(9,12)]); # Design 5995: autom. group order 2, simple, residual B[5995]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,13],[1,3,5,9,11,12,14],[1,3,7,8,9,12,14],[1,4,5,9,10,13,14],[1,4,6,8,11,13,14],[1,4,7,11,12,13,14],[1,5,6,7,8,10,11],[1,6,7,8,9,10,12],[2,3,6,8,11,12,14],[2,3,7,8,10,13,14],[2,4,5,6,7,12,14],[2,4,7,8,9,12,13],[2,4,7,9,10,11,14],[2,5,6,9,11,12,13],[2,5,8,9,10,11,14],[3,4,5,8,10,12,13],[3,4,6,7,9,10,11],[3,4,6,8,9,11,13],[3,5,6,7,9,13,14],[3,5,7,10,11,12,13],[4,5,6,8,10,12,14]]; G[5995]:=Group([(2,13)(3,14)(5,11)(7,8)(9,12)]); # Design 5996: autom. group order 2, simple, residual B[5996]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,10,11,12],[1,3,5,9,11,12,14],[1,3,7,8,9,12,14],[1,4,5,9,10,13,14],[1,4,6,8,11,13,14],[1,4,7,11,12,13,14],[1,5,6,7,9,10,13],[1,6,7,8,9,10,12],[2,3,6,9,12,13,14],[2,3,7,9,10,11,13],[2,4,5,6,7,12,14],[2,4,7,8,9,12,13],[2,4,7,9,10,11,14],[2,5,6,8,9,11,14],[2,5,8,10,12,13,14],[3,4,5,8,10,12,13],[3,4,6,7,8,10,14],[3,4,6,8,9,11,13],[3,5,6,7,11,12,13],[3,5,7,8,10,11,14],[4,5,6,9,10,11,12]]; G[5996]:=Group([(2,13)(3,14)(5,11)(7,8)(9,12)]); # Design 5997: autom. group order 2, simple B[5997]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,10,11,12],[1,3,5,9,11,12,14],[1,3,7,8,9,12,14],[1,4,5,9,10,13,14],[1,4,6,8,11,13,14],[1,4,7,11,12,13,14],[1,5,6,7,9,10,13],[1,6,7,8,9,10,12],[2,3,6,9,12,13,14],[2,3,7,8,10,13,14],[2,4,5,6,7,12,14],[2,4,7,8,9,12,13],[2,4,7,9,10,11,14],[2,5,6,9,11,12,13],[2,5,8,9,10,11,14],[3,4,5,8,10,12,13],[3,4,6,7,9,10,11],[3,4,6,8,9,11,13],[3,5,6,7,8,11,14],[3,5,7,10,11,12,13],[4,5,6,8,10,12,14]]; G[5997]:=Group([(2,13)(3,14)(5,11)(7,8)(9,12)]); # Design 5998: autom. group order 2, simple B[5998]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,10,11,12],[1,3,5,9,11,12,14],[1,3,7,8,9,12,14],[1,4,5,9,10,13,14],[1,4,6,8,11,13,14],[1,4,7,11,12,13,14],[1,5,6,7,9,10,13],[1,6,7,8,9,10,12],[2,3,6,9,12,13,14],[2,3,7,8,10,13,14],[2,4,5,6,7,12,14],[2,4,7,8,9,12,13],[2,4,7,9,10,11,14],[2,5,6,8,9,11,14],[2,5,9,10,11,12,13],[3,4,5,8,10,12,13],[3,4,6,7,9,10,11],[3,4,6,8,9,11,13],[3,5,6,7,11,12,13],[3,5,7,8,10,11,14],[4,5,6,8,10,12,14]]; G[5998]:=Group([(2,13)(3,14)(5,11)(7,8)(9,12)]); # Design 5999: autom. group order 2, simple, residual B[5999]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,6,8,10,11,14],[1,3,5,8,9,12,14],[1,3,7,8,9,11,13],[1,4,5,8,10,13,14],[1,4,6,9,12,13,14],[1,4,7,11,12,13,14],[1,5,6,7,9,10,12],[1,6,7,8,9,10,11],[2,3,6,9,11,12,14],[2,3,7,8,10,12,13],[2,4,5,6,9,11,13],[2,4,7,8,9,11,14],[2,4,8,9,10,12,13],[2,5,6,7,8,13,14],[2,5,7,9,10,12,14],[3,4,5,7,10,11,14],[3,4,6,7,8,12,14],[3,4,6,7,9,10,13],[3,5,6,8,11,12,13],[3,5,9,10,11,13,14],[4,5,6,8,10,11,12]]; G[5999]:=Group([(2,14)(3,13)(5,12)(7,9)(8,11)]); # Design 6000: autom. group order 2, simple, residual B[6000]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,8,10,12],[1,3,5,7,10,12,14],[1,3,7,9,11,12,13],[1,4,5,7,9,13,14],[1,4,6,10,11,13,14],[1,4,8,10,12,13,14],[1,5,6,8,9,11,14],[1,6,7,8,9,11,12],[2,3,6,7,11,13,14],[2,3,8,9,10,11,14],[2,4,5,6,11,12,13],[2,4,7,8,9,10,13],[2,4,7,9,11,12,14],[2,5,6,9,10,12,14],[2,5,7,8,12,13,14],[3,4,5,8,11,12,14],[3,4,6,7,9,10,14],[3,4,6,8,9,12,13],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,7,8,10,11]]; G[6000]:=Group([(2,14)(3,13)(5,10)(7,11)(9,12)]); # Design 6001: autom. group order 2, simple, residual B[6001]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,8,10,14],[1,3,5,7,11,12,14],[1,3,7,9,10,12,13],[1,4,5,7,9,13,14],[1,4,6,10,11,13,14],[1,4,8,11,12,13,14],[1,5,6,8,9,11,12],[1,6,7,8,9,10,12],[2,3,6,7,11,12,13],[2,3,8,9,10,11,14],[2,4,5,6,10,12,13],[2,4,7,8,9,11,13],[2,4,7,9,10,12,14],[2,5,6,9,11,12,14],[2,5,7,8,12,13,14],[3,4,5,8,10,12,14],[3,4,6,7,9,11,14],[3,4,6,8,9,12,13],[3,5,6,9,10,13,14],[3,5,7,8,10,11,13],[4,5,6,7,8,10,11]]; G[6001]:=Group([(2,14)(3,13)(5,11)(7,10)(9,12)]); # Design 6002: autom. group order 2, simple, residual B[6002]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,8,10,14],[1,3,5,7,11,12,14],[1,3,7,9,10,12,13],[1,4,5,7,9,13,14],[1,4,6,10,11,13,14],[1,4,8,11,12,13,14],[1,5,6,8,9,11,12],[1,6,7,8,9,10,12],[2,3,6,7,11,12,13],[2,3,8,9,12,13,14],[2,4,5,6,10,12,13],[2,4,7,8,9,11,13],[2,4,7,9,10,12,14],[2,5,6,9,11,12,14],[2,5,7,8,10,11,14],[3,4,5,8,10,12,14],[3,4,6,7,9,11,14],[3,4,6,8,9,10,11],[3,5,6,9,10,13,14],[3,5,7,8,10,11,13],[4,5,6,7,8,12,13]]; G[6002]:=Group([(2,14)(3,13)(5,11)(7,10)(9,12)]); # Design 6003: autom. group order 2, simple B[6003]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,8,10,11],[1,3,5,7,10,12,14],[1,3,7,9,11,12,14],[1,4,5,7,9,13,14],[1,4,6,10,12,13,14],[1,4,8,10,11,13,14],[1,5,6,8,9,12,13],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,5,6,11,12,14],[2,4,7,8,9,10,14],[2,4,7,9,11,12,13],[2,5,6,9,10,12,14],[2,5,7,8,10,12,13],[3,4,5,8,11,12,13],[3,4,6,7,9,10,13],[3,4,6,8,9,10,12],[3,5,6,7,10,11,13],[3,5,8,9,10,11,14],[4,5,6,7,8,11,14]]; G[6003]:=Group([(2,13)(3,14)(5,10)(7,12)(9,11)]); # Design 6004: autom. group order 2, simple B[6004]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,8,10,12],[1,3,5,7,10,12,14],[1,3,7,9,11,12,13],[1,4,5,7,9,13,14],[1,4,6,10,11,13,14],[1,4,8,10,12,13,14],[1,5,6,8,9,11,14],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,5,6,11,12,13],[2,4,7,8,9,10,13],[2,4,7,9,11,12,14],[2,5,6,9,10,12,14],[2,5,7,8,10,11,14],[3,4,5,8,11,12,14],[3,4,6,7,9,10,14],[3,4,6,8,9,10,11],[3,5,6,7,10,11,13],[3,5,8,9,10,12,13],[4,5,6,7,8,12,13]]; G[6004]:=Group([(2,14)(3,13)(5,10)(7,11)(9,12)]); # Design 6005: autom. group order 2, simple B[6005]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,8,10,14],[1,3,5,7,11,12,14],[1,3,7,9,10,12,13],[1,4,5,7,9,13,14],[1,4,6,10,11,13,14],[1,4,8,11,12,13,14],[1,5,6,8,9,11,12],[1,6,7,8,9,10,12],[2,3,6,9,12,13,14],[2,3,7,8,11,12,13],[2,4,5,6,10,12,13],[2,4,7,8,9,11,13],[2,4,7,9,10,12,14],[2,5,6,9,11,12,14],[2,5,7,8,10,11,14],[3,4,5,8,10,12,14],[3,4,6,7,9,11,14],[3,4,6,8,9,10,11],[3,5,6,7,10,11,13],[3,5,8,9,10,13,14],[4,5,6,7,8,12,13]]; G[6005]:=Group([(2,14)(3,13)(5,11)(7,10)(9,12)]); # Design 6006: autom. group order 2, simple, residual B[6006]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,8,12,13],[1,3,5,7,10,12,14],[1,3,7,9,11,12,14],[1,4,5,7,9,13,14],[1,4,6,10,12,13,14],[1,4,8,10,11,13,14],[1,5,6,8,9,10,11],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,8,10,11,14],[2,4,5,6,11,12,14],[2,4,7,8,9,10,14],[2,4,7,9,11,12,13],[2,5,6,9,10,12,14],[2,5,7,8,10,12,13],[3,4,5,8,11,12,13],[3,4,6,7,9,10,13],[3,4,6,8,9,10,12],[3,5,6,7,10,11,13],[3,5,8,9,12,13,14],[4,5,6,7,8,11,14]]; G[6006]:=Group([(2,13)(3,14)(5,10)(7,12)(9,11)]); # Design 6007: autom. group order 2, simple, residual B[6007]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,8,10,14],[1,3,5,7,10,12,13],[1,3,7,9,11,12,14],[1,4,5,7,11,13,14],[1,4,6,10,12,13,14],[1,4,8,9,12,13,14],[1,5,6,8,9,11,12],[1,6,7,8,9,10,11],[2,3,6,9,11,13,14],[2,3,7,8,11,12,13],[2,4,5,6,11,12,14],[2,4,7,8,9,12,13],[2,4,7,9,10,11,14],[2,5,6,9,10,12,13],[2,5,7,8,10,12,14],[3,4,5,8,9,10,14],[3,4,6,7,9,10,13],[3,4,6,8,10,11,12],[3,5,6,7,9,12,14],[3,5,8,10,11,13,14],[4,5,6,7,8,11,13]]; G[6007]:=Group([(2,14)(3,13)(5,12)(7,10)]); # Design 6008: autom. group order 2, simple B[6008]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,8,10,12],[1,3,5,7,10,12,14],[1,3,7,9,11,12,13],[1,4,5,7,9,13,14],[1,4,6,10,11,13,14],[1,4,8,10,12,13,14],[1,5,6,8,9,11,14],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,11,12,13],[2,4,7,8,9,10,13],[2,4,7,9,11,12,14],[2,5,6,7,10,11,14],[2,5,7,8,12,13,14],[3,4,5,8,11,12,14],[3,4,6,7,8,11,13],[3,4,6,7,9,10,14],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,8,9,10,12]]; G[6008]:=Group([(2,14)(3,13)(5,10)(7,11)(9,12)]); # Design 6009: autom. group order 2, simple, residual B[6009]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,8,12,13],[1,3,5,7,10,12,14],[1,3,7,9,11,12,14],[1,4,5,7,9,13,14],[1,4,6,10,12,13,14],[1,4,8,10,11,13,14],[1,5,6,8,9,10,11],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,8,9,10,12,14],[2,4,5,6,11,12,14],[2,4,7,8,9,10,14],[2,4,7,9,11,12,13],[2,5,6,7,10,11,14],[2,5,7,8,10,12,13],[3,4,5,8,11,12,13],[3,4,6,7,8,10,11],[3,4,6,7,9,10,13],[3,5,6,9,10,12,13],[3,5,7,8,11,13,14],[4,5,6,8,9,12,14]]; G[6009]:=Group([(2,13)(3,14)(5,10)(7,12)(9,11)]); # Design 6010: autom. group order 2, simple, residual B[6010]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,8,10,14],[1,3,5,7,10,12,13],[1,3,7,9,11,12,14],[1,4,5,7,11,13,14],[1,4,6,10,12,13,14],[1,4,8,9,12,13,14],[1,5,6,8,9,11,12],[1,6,7,8,9,10,11],[2,3,6,9,11,13,14],[2,3,8,10,11,12,13],[2,4,5,6,11,12,14],[2,4,7,8,9,12,13],[2,4,7,9,10,11,14],[2,5,6,7,9,12,13],[2,5,7,8,10,12,14],[3,4,5,8,9,10,14],[3,4,6,7,8,11,12],[3,4,6,7,9,10,13],[3,5,6,9,10,12,14],[3,5,7,8,11,13,14],[4,5,6,8,10,11,13]]; G[6010]:=Group([(2,14)(3,13)(5,12)(7,10)]); # Design 6011: autom. group order 2, simple, residual B[6011]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,7,8,10,14],[1,3,5,7,11,12,14],[1,3,7,8,9,12,13],[1,4,5,9,10,13,14],[1,4,6,8,11,13,14],[1,4,7,11,12,13,14],[1,5,6,9,10,11,12],[1,6,7,8,9,10,12],[2,3,6,8,11,12,13],[2,3,7,9,10,11,14],[2,4,5,6,7,12,13],[2,4,7,8,9,12,14],[2,4,7,9,10,11,13],[2,5,6,9,11,12,14],[2,5,8,10,12,13,14],[3,4,5,8,10,12,14],[3,4,6,8,9,11,14],[3,4,6,9,10,12,13],[3,5,6,7,9,13,14],[3,5,7,8,10,11,13],[4,5,6,7,8,10,11]]; G[6011]:=Group([(2,14)(3,13)(5,11)(7,8)(9,12)]); # Design 6012: autom. group order 2, simple, residual B[6012]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,10,11],[1,3,5,7,9,12,13],[1,3,7,8,9,12,14],[1,4,5,8,10,13,14],[1,4,6,9,11,12,13],[1,4,7,11,12,13,14],[1,5,6,8,10,11,12],[1,6,7,8,9,10,14],[2,3,6,8,11,12,14],[2,3,7,8,10,12,13],[2,4,5,6,9,12,14],[2,4,7,8,9,11,14],[2,4,8,9,10,12,13],[2,5,6,7,12,13,14],[2,5,7,9,10,11,13],[3,4,5,7,10,11,14],[3,4,6,7,8,11,13],[3,4,6,9,10,13,14],[3,5,6,8,9,11,13],[3,5,9,10,11,12,14],[4,5,6,7,8,10,12]]; G[6012]:=Group([(2,11)(3,12)(5,13)(7,9)(8,14)]); # Design 6013: autom. group order 2, simple, residual B[6013]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,8,10,11],[1,3,5,7,9,11,14],[1,3,7,8,9,12,14],[1,4,5,8,10,13,14],[1,4,6,9,11,13,14],[1,4,7,11,12,13,14],[1,5,6,9,10,12,13],[1,6,7,8,9,10,12],[2,3,6,9,11,12,13],[2,3,7,9,10,13,14],[2,4,5,6,9,12,14],[2,4,7,8,9,12,13],[2,4,8,9,10,11,14],[2,5,6,7,8,13,14],[2,5,7,10,11,12,14],[3,4,5,7,10,12,13],[3,4,6,7,8,11,13],[3,4,6,8,10,12,14],[3,5,6,8,11,12,14],[3,5,8,9,10,11,13],[4,5,6,7,9,10,11]]; G[6013]:=Group([(2,13)(3,14)(5,11)(7,9)(8,12)]); # Design 6014: autom. group order 2, simple B[6014]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,8,10,11],[1,3,5,7,9,11,14],[1,3,7,8,9,12,14],[1,4,5,8,10,13,14],[1,4,6,9,11,13,14],[1,4,7,11,12,13,14],[1,5,6,9,10,12,13],[1,6,7,8,9,10,12],[2,3,6,8,12,13,14],[2,3,7,9,10,13,14],[2,4,5,6,9,12,14],[2,4,7,8,9,12,13],[2,4,8,9,10,11,14],[2,5,6,7,9,11,13],[2,5,7,10,11,12,14],[3,4,5,7,10,12,13],[3,4,6,7,8,11,13],[3,4,6,9,10,11,12],[3,5,6,8,11,12,14],[3,5,8,9,10,11,13],[4,5,6,7,8,10,14]]; G[6014]:=Group([(2,13)(3,14)(5,11)(7,9)(8,12)]); # Design 6015: autom. group order 2, simple, residual B[6015]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,7,8,10,14],[1,3,5,7,8,12,13],[1,3,7,9,11,12,14],[1,4,5,10,11,13,14],[1,4,6,8,12,13,14],[1,4,7,9,12,13,14],[1,5,6,9,10,11,12],[1,6,7,8,9,10,11],[2,3,6,9,11,13,14],[2,3,7,9,10,12,13],[2,4,5,6,9,12,14],[2,4,7,8,9,11,14],[2,4,8,10,11,12,13],[2,5,6,7,11,12,13],[2,5,7,8,10,12,14],[3,4,5,7,10,11,14],[3,4,6,7,8,11,13],[3,4,6,8,9,10,12],[3,5,6,8,11,12,14],[3,5,8,9,10,13,14],[4,5,6,7,9,10,13]]; G[6015]:=Group([(2,14)(3,13)(5,12)(7,8)]); # Design 6016: autom. group order 2, simple, residual B[6016]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,10,11],[1,3,5,7,9,12,13],[1,3,7,8,9,12,14],[1,4,5,8,10,13,14],[1,4,6,9,11,12,13],[1,4,7,11,12,13,14],[1,5,6,8,10,11,12],[1,6,7,8,9,10,14],[2,3,6,8,11,12,14],[2,3,9,10,12,13,14],[2,4,5,6,7,12,14],[2,4,7,8,9,11,14],[2,4,7,8,10,12,13],[2,5,6,8,9,12,13],[2,5,7,9,10,11,13],[3,4,5,9,10,11,14],[3,4,6,7,8,10,13],[3,4,6,8,9,11,13],[3,5,6,7,11,13,14],[3,5,7,8,10,11,12],[4,5,6,9,10,12,14]]; G[6016]:=Group([(2,11)(3,12)(5,13)(7,9)(8,14)]); # Design 6017: autom. group order 2, simple, residual B[6017]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,9,10,13],[1,3,5,7,9,11,14],[1,3,7,8,9,12,14],[1,4,5,8,10,13,14],[1,4,6,9,11,13,14],[1,4,7,11,12,13,14],[1,5,6,8,10,11,12],[1,6,7,8,9,10,12],[2,3,6,8,12,13,14],[2,3,9,10,11,12,14],[2,4,5,6,7,12,14],[2,4,7,8,9,12,13],[2,4,7,8,10,11,14],[2,5,6,8,9,11,14],[2,5,7,9,10,11,13],[3,4,5,9,10,12,13],[3,4,6,7,8,10,11],[3,4,6,8,9,11,13],[3,5,6,7,11,12,13],[3,5,7,8,10,13,14],[4,5,6,9,10,12,14]]; G[6017]:=Group([(2,13)(3,14)(5,11)(7,9)(8,12)]); # Design 6018: autom. group order 2, simple B[6018]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,7,8,10,14],[1,3,5,7,11,12,14],[1,3,7,8,9,12,13],[1,4,5,9,10,13,14],[1,4,6,8,11,13,14],[1,4,7,11,12,13,14],[1,5,6,9,10,11,12],[1,6,7,8,9,10,12],[2,3,6,9,12,13,14],[2,3,8,10,11,12,13],[2,4,5,6,7,12,13],[2,4,7,8,9,12,14],[2,4,7,9,10,11,13],[2,5,6,9,11,12,14],[2,5,7,8,10,11,14],[3,4,5,8,10,12,14],[3,4,6,7,9,10,11],[3,4,6,8,9,11,14],[3,5,6,7,8,11,13],[3,5,7,9,10,13,14],[4,5,6,8,10,12,13]]; G[6018]:=Group([(2,14)(3,13)(5,11)(7,8)(9,12)]); # Design 6019: autom. group order 2, simple, residual B[6019]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,7,8,10,12],[1,3,5,7,12,13,14],[1,3,7,8,9,11,14],[1,4,5,9,10,13,14],[1,4,6,8,11,12,13],[1,4,7,11,12,13,14],[1,5,6,9,10,11,12],[1,6,7,8,9,10,14],[2,3,6,9,11,12,14],[2,3,8,10,11,13,14],[2,4,5,6,7,11,14],[2,4,7,8,9,12,14],[2,4,7,9,10,11,13],[2,5,6,9,12,13,14],[2,5,7,8,10,12,13],[3,4,5,8,10,12,14],[3,4,6,7,9,10,13],[3,4,6,8,9,12,13],[3,5,6,7,8,11,13],[3,5,7,9,10,11,12],[4,5,6,8,10,11,14]]; G[6019]:=Group([(2,12)(3,11)(5,13)(7,8)(9,14)]); # Design 6020: autom. group order 2, simple, residual B[6020]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,7,8,10,14],[1,3,5,7,11,12,14],[1,3,7,8,9,12,13],[1,4,5,9,10,13,14],[1,4,6,8,11,13,14],[1,4,7,11,12,13,14],[1,5,6,9,10,11,12],[1,6,7,8,9,10,12],[2,3,6,8,11,12,13],[2,3,9,10,12,13,14],[2,4,5,6,7,12,13],[2,4,7,8,9,12,14],[2,4,7,9,10,11,13],[2,5,6,9,11,12,14],[2,5,7,8,10,11,14],[3,4,5,8,10,12,14],[3,4,6,7,9,10,11],[3,4,6,8,9,11,14],[3,5,6,7,9,13,14],[3,5,7,8,10,11,13],[4,5,6,8,10,12,13]]; G[6020]:=Group([(2,14)(3,13)(5,11)(7,8)(9,12)]); # Design 6021: autom. group order 2, simple, residual B[6021]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,7,8,10,12],[1,3,5,7,12,13,14],[1,3,7,8,9,11,14],[1,4,5,9,10,13,14],[1,4,6,8,11,12,13],[1,4,7,11,12,13,14],[1,5,6,9,10,11,12],[1,6,7,8,9,10,14],[2,3,6,8,11,13,14],[2,3,9,10,11,12,14],[2,4,5,6,7,11,14],[2,4,7,8,9,12,14],[2,4,7,9,10,11,13],[2,5,6,9,12,13,14],[2,5,7,8,10,12,13],[3,4,5,8,10,12,14],[3,4,6,7,9,10,13],[3,4,6,8,9,12,13],[3,5,6,7,9,11,12],[3,5,7,8,10,11,13],[4,5,6,8,10,11,14]]; G[6021]:=Group([(2,12)(3,11)(5,13)(7,8)(9,14)]); # Design 6022: autom. group order 2, simple, residual B[6022]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,9,11,14],[1,3,5,7,12,13,14],[1,3,8,9,11,13,14],[1,4,5,7,8,10,14],[1,4,6,8,9,10,13],[1,4,7,9,10,11,12],[1,5,6,9,10,12,13],[1,6,7,8,11,12,14],[2,3,6,7,8,9,12],[2,3,7,9,10,11,13],[2,4,5,6,11,13,14],[2,4,7,10,12,13,14],[2,4,8,9,12,13,14],[2,5,6,8,10,11,12],[2,5,7,8,9,10,14],[3,4,5,9,11,12,14],[3,4,6,7,8,12,13],[3,4,6,8,10,11,14],[3,5,6,9,10,12,14],[3,5,7,8,10,11,13],[4,5,6,7,9,11,13]]; G[6022]:=Group([(1,13)(3,14)(5,12)(6,10)]); # Design 6023: autom. group order 2, simple, residual B[6023]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,6,7,9,10,14],[1,3,5,7,11,13,14],[1,3,8,9,11,12,14],[1,4,5,7,10,12,14],[1,4,6,8,9,11,14],[1,4,7,8,9,10,13],[1,5,6,9,11,12,13],[1,6,7,8,10,12,13],[2,3,6,8,10,12,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,7,11,12,13,14],[2,4,9,10,11,13,14],[2,5,6,7,9,11,12],[2,5,7,8,9,10,11],[3,4,5,9,10,12,13],[3,4,6,7,8,11,13],[3,4,6,7,9,12,14],[3,5,6,9,10,13,14],[3,5,7,8,10,11,14],[4,5,6,8,10,11,12]]; G[6023]:=Group([(1,13)(3,14)(5,11)(6,12)(8,10)]); # Design 6024: autom. group order 2, simple, residual B[6024]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,9,11,12],[1,3,5,7,12,13,14],[1,3,8,9,11,13,14],[1,4,5,7,8,12,14],[1,4,6,8,9,10,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,11,12,13],[2,3,6,8,11,12,14],[2,3,7,8,9,10,12],[2,4,5,6,11,13,14],[2,4,7,10,12,13,14],[2,4,8,9,12,13,14],[2,5,6,7,8,9,13],[2,5,7,9,10,11,14],[3,4,5,9,11,12,13],[3,4,6,7,8,10,13],[3,4,6,7,9,11,14],[3,5,6,9,10,12,13],[3,5,7,8,10,11,14],[4,5,6,8,10,11,12]]; G[6024]:=Group([(1,14)(3,13)(5,12)(6,10)]); # Design 6025: autom. group order 2, simple B[6025]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,9,11,12],[1,3,5,7,11,13,14],[1,3,8,9,12,13,14],[1,4,5,7,8,10,14],[1,4,6,8,9,10,13],[1,4,7,9,10,12,14],[1,5,6,9,10,11,13],[1,6,7,8,11,12,14],[2,3,6,8,10,12,14],[2,3,7,8,9,10,11],[2,4,5,6,12,13,14],[2,4,7,10,11,13,14],[2,4,8,9,11,13,14],[2,5,6,7,8,9,14],[2,5,7,9,10,12,13],[3,4,5,9,11,12,14],[3,4,6,7,8,11,13],[3,4,6,7,9,12,13],[3,5,6,9,10,11,14],[3,5,7,8,10,12,13],[4,5,6,8,10,11,12]]; G[6025]:=Group([(1,13)(3,14)(5,11)(6,10)]); # Design 6026: autom. group order 2, simple, residual B[6026]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,6,7,9,10,14],[1,3,5,7,11,13,14],[1,3,8,9,11,12,14],[1,4,5,9,10,12,14],[1,4,6,7,8,11,14],[1,4,7,8,9,10,13],[1,5,6,9,11,12,13],[1,6,7,8,10,12,13],[2,3,6,8,10,12,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,7,11,12,13,14],[2,4,9,10,11,13,14],[2,5,6,7,9,11,12],[2,5,7,8,9,10,11],[3,4,5,7,10,12,13],[3,4,6,7,9,12,14],[3,4,6,8,9,11,13],[3,5,6,9,10,13,14],[3,5,7,8,10,11,14],[4,5,6,8,10,11,12]]; G[6026]:=Group([(1,13)(3,14)(5,11)(6,12)(8,10)]); # Design 6027: autom. group order 2, simple B[6027]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,9,11,12],[1,3,5,7,11,13,14],[1,3,8,9,10,11,13],[1,4,5,9,10,12,14],[1,4,6,7,8,11,14],[1,4,7,8,9,10,14],[1,5,6,9,12,13,14],[1,6,7,8,10,12,13],[2,3,6,8,10,12,14],[2,3,7,8,9,12,14],[2,4,5,6,8,13,14],[2,4,7,10,11,13,14],[2,4,9,11,12,13,14],[2,5,6,7,9,10,11],[2,5,7,8,9,10,13],[3,4,5,7,10,12,13],[3,4,6,7,9,12,13],[3,4,6,8,9,11,13],[3,5,6,9,10,11,14],[3,5,7,8,11,12,14],[4,5,6,8,10,11,12]]; G[6027]:=Group([(1,13)(3,14)(5,11)(6,10)(8,12)]); # Design 6028: autom. group order 2, simple B[6028]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,9,11,12],[1,3,5,7,11,13,14],[1,3,8,9,12,13,14],[1,4,5,9,10,12,14],[1,4,6,7,8,11,14],[1,4,7,8,9,10,14],[1,5,6,9,10,11,13],[1,6,7,8,10,12,13],[2,3,6,8,10,12,14],[2,3,7,8,9,10,11],[2,4,5,6,8,13,14],[2,4,7,10,11,13,14],[2,4,9,11,12,13,14],[2,5,6,7,9,12,14],[2,5,7,8,9,10,13],[3,4,5,7,10,12,13],[3,4,6,7,9,12,13],[3,4,6,8,9,11,13],[3,5,6,9,10,11,14],[3,5,7,8,11,12,14],[4,5,6,8,10,11,12]]; G[6028]:=Group([(1,13)(3,14)(5,11)(6,10)(8,12)]); # Design 6029: autom. group order 2, simple, residual B[6029]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,8,9,12],[1,3,5,7,12,13,14],[1,3,8,9,11,13,14],[1,4,5,9,11,12,14],[1,4,6,7,8,10,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,11,12,13],[2,3,6,8,11,12,14],[2,3,7,9,10,11,12],[2,4,5,6,11,13,14],[2,4,7,10,12,13,14],[2,4,8,9,12,13,14],[2,5,6,7,9,11,13],[2,5,7,8,9,10,14],[3,4,5,7,8,12,13],[3,4,6,7,9,11,14],[3,4,6,8,9,10,13],[3,5,6,9,10,12,13],[3,5,7,8,10,11,14],[4,5,6,8,10,11,12]]; G[6029]:=Group([(1,14)(3,13)(5,12)(6,10)]); # Design 6030: autom. group order 2, simple, residual B[6030]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,9,11,12],[1,3,5,9,11,13,14],[1,3,7,9,12,13,14],[1,4,5,7,8,10,14],[1,4,6,7,9,10,13],[1,4,8,9,10,12,14],[1,5,6,8,10,11,13],[1,6,7,8,11,12,14],[2,3,6,8,10,12,14],[2,3,7,8,9,10,11],[2,4,5,6,12,13,14],[2,4,7,10,11,13,14],[2,4,8,9,11,13,14],[2,5,6,7,8,9,14],[2,5,7,9,10,12,13],[3,4,5,7,11,12,14],[3,4,6,7,8,11,13],[3,4,6,8,9,12,13],[3,5,6,9,10,11,14],[3,5,7,8,10,12,13],[4,5,6,9,10,11,12]]; G[6030]:=Group([(1,13)(3,14)(5,11)(6,10)]); # Design 6031: autom. group order 2, simple B[6031]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,9,11,12],[1,3,5,9,11,13,14],[1,3,7,8,10,11,13],[1,4,5,7,10,12,14],[1,4,6,8,9,11,14],[1,4,7,8,9,10,14],[1,5,6,7,12,13,14],[1,6,8,9,10,12,13],[2,3,6,8,10,12,14],[2,3,7,8,9,12,14],[2,4,5,6,8,13,14],[2,4,7,10,11,13,14],[2,4,9,11,12,13,14],[2,5,6,7,9,10,11],[2,5,7,8,9,10,13],[3,4,5,9,10,12,13],[3,4,6,7,8,11,13],[3,4,6,7,9,12,13],[3,5,6,9,10,11,14],[3,5,7,8,11,12,14],[4,5,6,8,10,11,12]]; G[6031]:=Group([(1,13)(3,14)(5,11)(6,10)(8,12)]); # Design 6032: autom. group order 2, simple, residual B[6032]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,9,11,12],[1,3,5,9,11,13,14],[1,3,7,8,12,13,14],[1,4,5,7,10,12,14],[1,4,6,8,9,11,14],[1,4,7,8,9,10,14],[1,5,6,7,10,11,13],[1,6,8,9,10,12,13],[2,3,6,8,10,12,14],[2,3,7,8,9,10,11],[2,4,5,6,8,13,14],[2,4,7,10,11,13,14],[2,4,9,11,12,13,14],[2,5,6,7,9,12,14],[2,5,7,8,9,10,13],[3,4,5,9,10,12,13],[3,4,6,7,8,11,13],[3,4,6,7,9,12,13],[3,5,6,9,10,11,14],[3,5,7,8,11,12,14],[4,5,6,8,10,11,12]]; G[6032]:=Group([(1,13)(3,14)(5,11)(6,10)(8,12)]); # Design 6033: autom. group order 2, simple B[6033]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,9,11,12],[1,3,5,9,11,13,14],[1,3,7,8,10,11,13],[1,4,5,9,10,12,14],[1,4,6,7,8,11,14],[1,4,7,8,9,10,14],[1,5,6,7,12,13,14],[1,6,8,9,10,12,13],[2,3,6,8,10,12,14],[2,3,7,8,9,12,14],[2,4,5,6,8,13,14],[2,4,7,10,11,13,14],[2,4,9,11,12,13,14],[2,5,6,7,9,10,11],[2,5,7,8,9,10,13],[3,4,5,7,10,12,13],[3,4,6,7,9,12,13],[3,4,6,8,9,11,13],[3,5,6,9,10,11,14],[3,5,7,8,11,12,14],[4,5,6,8,10,11,12]]; G[6033]:=Group([(1,13)(3,14)(5,11)(6,10)(8,12)]); # Design 6034: autom. group order 2, simple, residual B[6034]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,8,9,12],[1,3,5,9,12,13,14],[1,3,7,8,11,13,14],[1,4,5,9,11,12,14],[1,4,6,7,8,12,13],[1,4,7,9,10,11,13],[1,5,6,7,10,12,14],[1,6,8,9,10,11,14],[2,3,6,8,11,12,14],[2,3,7,9,10,11,12],[2,4,5,6,11,13,14],[2,4,7,10,12,13,14],[2,4,8,9,12,13,14],[2,5,6,7,9,11,13],[2,5,7,8,9,10,14],[3,4,5,7,8,10,14],[3,4,6,7,9,11,14],[3,4,6,8,9,10,13],[3,5,6,9,10,12,13],[3,5,7,8,11,12,13],[4,5,6,8,10,11,12]]; G[6034]:=Group([(1,14)(3,13)(5,12)(6,10)]); # Design 6035: autom. group order 2, simple, residual B[6035]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,8,9,10,12],[1,3,5,7,10,12,14],[1,3,7,9,11,12,14],[1,4,5,7,9,13,14],[1,4,6,10,12,13,14],[1,4,8,10,11,13,14],[1,5,6,7,8,11,13],[1,6,7,8,9,11,12],[2,3,6,7,10,11,13],[2,3,7,8,12,13,14],[2,4,5,6,11,12,14],[2,4,7,8,9,10,14],[2,4,7,9,11,12,13],[2,5,6,9,12,13,14],[2,5,7,8,10,11,14],[3,4,5,8,11,12,13],[3,4,6,7,9,10,13],[3,4,6,8,9,11,14],[3,5,6,9,10,11,14],[3,5,8,9,10,12,13],[4,5,6,7,8,10,12]]; G[6035]:=Group([(2,13)(3,14)(5,10)(7,12)(9,11)]); # Design 6036: autom. group order 2, simple B[6036]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,8,9,12,14],[1,3,5,7,10,12,14],[1,3,7,9,11,12,13],[1,4,5,7,9,13,14],[1,4,6,10,11,13,14],[1,4,8,10,12,13,14],[1,5,6,7,8,10,11],[1,6,7,8,9,11,12],[2,3,6,7,10,12,13],[2,3,7,8,11,13,14],[2,4,5,6,11,12,13],[2,4,7,8,9,10,13],[2,4,7,9,11,12,14],[2,5,6,9,10,12,14],[2,5,7,8,10,11,14],[3,4,5,8,11,12,14],[3,4,6,7,9,10,14],[3,4,6,8,9,10,11],[3,5,6,9,11,13,14],[3,5,8,9,10,12,13],[4,5,6,7,8,12,13]]; G[6036]:=Group([(2,14)(3,13)(5,10)(7,11)(9,12)]); # Design 6037: autom. group order 2, simple B[6037]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,8,9,10,12],[1,3,5,7,10,12,14],[1,3,7,9,11,12,14],[1,4,5,7,9,13,14],[1,4,6,10,12,13,14],[1,4,8,10,11,13,14],[1,5,6,7,8,11,13],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,5,6,11,12,14],[2,4,7,8,9,10,14],[2,4,7,9,11,12,13],[2,5,6,7,10,11,14],[2,5,7,8,10,12,13],[3,4,5,8,11,12,13],[3,4,6,7,8,10,11],[3,4,6,7,9,10,13],[3,5,6,9,10,12,13],[3,5,8,9,10,11,14],[4,5,6,8,9,12,14]]; G[6037]:=Group([(2,13)(3,14)(5,10)(7,12)(9,11)]); # Design 6038: autom. group order 2, simple B[6038]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,8,9,10,12],[1,3,5,7,10,12,14],[1,3,7,9,11,12,14],[1,4,5,7,9,13,14],[1,4,6,10,12,13,14],[1,4,8,10,11,13,14],[1,5,6,7,8,11,13],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,5,6,11,12,14],[2,4,7,8,9,10,14],[2,4,7,9,11,12,13],[2,5,6,7,10,12,13],[2,5,7,8,10,11,14],[3,4,5,8,11,12,13],[3,4,6,7,8,10,11],[3,4,6,7,9,10,13],[3,5,6,9,10,11,14],[3,5,8,9,10,12,13],[4,5,6,8,9,12,14]]; G[6038]:=Group([(2,13)(3,14)(5,10)(7,12)(9,11)]); # Design 6039: autom. group order 2, simple, residual B[6039]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,8,10,11,12],[1,3,5,7,11,12,14],[1,3,7,8,9,12,13],[1,4,5,9,10,13,14],[1,4,6,8,11,13,14],[1,4,7,11,12,13,14],[1,5,6,7,9,10,14],[1,6,7,8,9,10,12],[2,3,6,7,8,13,14],[2,3,7,9,10,11,14],[2,4,5,6,7,12,13],[2,4,7,8,9,12,14],[2,4,7,9,10,11,13],[2,5,6,9,11,12,14],[2,5,8,10,12,13,14],[3,4,5,8,10,12,14],[3,4,6,8,9,11,14],[3,4,6,9,10,12,13],[3,5,6,9,11,12,13],[3,5,7,8,10,11,13],[4,5,6,7,8,10,11]]; G[6039]:=Group([(2,14)(3,13)(5,11)(7,8)(9,12)]); # Design 6040: autom. group order 2, simple B[6040]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,8,10,11,12],[1,3,5,7,11,12,14],[1,3,7,8,9,12,13],[1,4,5,9,10,13,14],[1,4,6,8,11,13,14],[1,4,7,11,12,13,14],[1,5,6,7,9,10,14],[1,6,7,8,9,10,12],[2,3,6,9,12,13,14],[2,3,7,9,10,11,14],[2,4,5,6,7,12,13],[2,4,7,8,9,12,14],[2,4,7,9,10,11,13],[2,5,6,7,8,11,14],[2,5,8,10,12,13,14],[3,4,5,8,10,12,14],[3,4,6,7,8,10,13],[3,4,6,8,9,11,14],[3,5,6,9,11,12,13],[3,5,7,8,10,11,13],[4,5,6,9,10,11,12]]; G[6040]:=Group([(2,14)(3,13)(5,11)(7,8)(9,12)]); # Design 6041: autom. group order 2, simple B[6041]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,9,10,11,12],[1,3,5,7,9,11,14],[1,3,7,8,9,12,14],[1,4,5,8,10,13,14],[1,4,6,9,11,13,14],[1,4,7,11,12,13,14],[1,5,6,7,8,10,13],[1,6,7,8,9,10,12],[2,3,6,8,12,13,14],[2,3,7,9,10,13,14],[2,4,5,6,7,12,14],[2,4,7,8,9,12,13],[2,4,7,8,10,11,14],[2,5,6,8,9,11,14],[2,5,7,9,10,11,13],[3,4,5,9,10,12,13],[3,4,6,7,8,10,11],[3,4,6,8,9,11,13],[3,5,6,7,11,12,13],[3,5,8,10,11,12,14],[4,5,6,9,10,12,14]]; G[6041]:=Group([(2,13)(3,14)(5,11)(7,9)(8,12)]); # Design 6042: autom. group order 2, simple B[6042]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,8,10,11,12],[1,3,5,7,11,12,14],[1,3,7,8,9,12,13],[1,4,5,9,10,13,14],[1,4,6,8,11,13,14],[1,4,7,11,12,13,14],[1,5,6,7,9,10,14],[1,6,7,8,9,10,12],[2,3,6,9,12,13,14],[2,3,7,8,10,13,14],[2,4,5,6,7,12,13],[2,4,7,8,9,12,14],[2,4,7,9,10,11,13],[2,5,6,9,11,12,14],[2,5,7,8,10,11,14],[3,4,5,8,10,12,14],[3,4,6,7,9,10,11],[3,4,6,8,9,11,14],[3,5,6,7,8,11,13],[3,5,9,10,11,12,13],[4,5,6,8,10,12,13]]; G[6042]:=Group([(2,14)(3,13)(5,11)(7,8)(9,12)]); # Design 6043: autom. group order 2, simple B[6043]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,8,10,12,14],[1,3,5,7,11,12,14],[1,3,7,8,9,12,13],[1,4,5,8,10,13,14],[1,4,6,9,11,13,14],[1,4,7,11,12,13,14],[1,5,6,7,9,10,11],[1,6,7,8,9,10,12],[2,3,6,9,11,12,13],[2,3,7,9,10,13,14],[2,4,5,6,7,12,13],[2,4,7,8,9,12,14],[2,4,7,8,10,11,13],[2,5,6,8,11,12,14],[2,5,7,9,10,11,14],[3,4,5,9,10,12,14],[3,4,6,7,8,10,11],[3,4,6,8,9,11,14],[3,5,6,7,8,13,14],[3,5,8,10,11,12,13],[4,5,6,9,10,12,13]]; G[6043]:=Group([(2,14)(3,13)(5,11)(7,9)(8,12)]); # Design 6044: autom. group order 2, simple, residual B[6044]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,12,13,14],[1,3,5,9,10,12,14],[1,3,7,8,11,13,14],[1,4,5,11,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,10,12,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,9,11,14],[2,4,6,8,9,11,13],[2,4,6,8,10,12,14],[2,5,7,8,11,12,14],[2,5,7,9,10,12,13],[3,4,5,6,8,12,13],[3,4,7,8,9,12,14],[3,4,7,9,10,11,13],[3,5,6,8,10,11,14],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[6044]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 6045: autom. group order 2, simple, residual B[6045]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,12,13,14],[1,3,5,9,10,12,14],[1,3,7,8,11,13,14],[1,4,5,11,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,10,12,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,9,12,13],[2,4,6,8,9,11,13],[2,4,6,8,10,12,14],[2,5,7,8,11,12,14],[2,5,7,9,10,11,14],[3,4,5,6,8,11,14],[3,4,7,8,9,12,14],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[3,5,6,9,11,12,13],[4,5,6,7,10,13,14]]; G[6045]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 6046: autom. group order 2, simple, residual B[6046]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,9,11,12,14],[1,3,5,9,11,13,14],[1,3,7,8,11,12,14],[1,4,5,8,9,10,12],[1,4,6,8,10,13,14],[1,4,7,9,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,7,12,13,14],[2,4,6,8,10,11,14],[2,4,6,9,11,12,13],[2,5,7,8,10,11,13],[2,5,7,9,10,12,14],[3,4,5,6,12,13,14],[3,4,7,8,11,12,13],[3,4,7,9,10,11,14],[3,5,6,8,10,12,14],[3,5,6,9,10,11,13],[4,5,6,7,8,9,11]]; G[6046]:=Group([(2,3)(6,7)(8,9)]); # Design 6047: autom. group order 2, simple, residual B[6047]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,9,11,12,14],[1,3,5,9,11,13,14],[1,3,7,8,11,12,14],[1,4,5,8,9,10,12],[1,4,6,8,10,13,14],[1,4,7,9,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,7,12,13,14],[2,4,6,8,10,11,14],[2,4,6,9,11,12,13],[2,5,7,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,6,12,13,14],[3,4,7,8,11,12,13],[3,4,7,9,10,11,14],[3,5,6,8,10,11,13],[3,5,6,9,10,12,14],[4,5,6,7,8,9,11]]; G[6047]:=Group([(2,3)(6,7)(8,9)]); # Design 6048: autom. group order 2, simple, residual B[6048]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,9,11,12,14],[1,3,5,9,11,13,14],[1,3,7,8,11,12,14],[1,4,5,8,9,10,12],[1,4,6,8,10,13,14],[1,4,7,9,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,7,12,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,11,14],[2,5,7,8,10,11,13],[2,5,7,9,10,12,14],[3,4,5,6,12,13,14],[3,4,7,8,10,11,14],[3,4,7,9,11,12,13],[3,5,6,8,10,12,14],[3,5,6,9,10,11,13],[4,5,6,7,8,9,11]]; G[6048]:=Group([(2,3)(6,7)(8,9)]); # Design 6049: autom. group order 2, simple, residual B[6049]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,13],[1,3,5,8,11,12,14],[1,3,7,9,10,12,14],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,10,13,14],[2,4,6,8,10,11,14],[2,4,6,9,11,12,14],[2,5,7,8,9,12,13],[2,5,7,9,11,12,14],[3,4,5,6,12,13,14],[3,4,7,8,11,12,13],[3,4,7,9,10,11,13],[3,5,6,8,9,10,14],[3,5,6,9,10,11,13],[4,5,6,7,8,10,12]]; G[6049]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6050: autom. group order 2, simple, residual B[6050]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,13],[1,3,5,8,11,12,14],[1,3,7,9,10,12,14],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,10,13,14],[2,4,6,8,10,11,14],[2,4,6,9,11,12,14],[2,5,7,8,9,12,14],[2,5,7,9,11,12,13],[3,4,5,6,12,13,14],[3,4,7,8,11,12,13],[3,4,7,9,10,11,13],[3,5,6,8,9,10,13],[3,5,6,9,10,11,14],[4,5,6,7,8,10,12]]; G[6050]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6051: autom. group order 2, simple, residual B[6051]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,13],[1,3,5,8,11,12,14],[1,3,7,9,10,12,14],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,10,13,14],[2,4,6,8,11,12,14],[2,4,6,9,10,11,14],[2,5,7,8,9,12,13],[2,5,7,9,11,12,14],[3,4,5,6,12,13,14],[3,4,7,8,10,11,13],[3,4,7,9,11,12,13],[3,5,6,8,9,10,14],[3,5,6,9,10,11,13],[4,5,6,7,8,10,12]]; G[6051]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6052: autom. group order 2, simple, residual B[6052]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,13],[1,3,5,8,11,12,14],[1,3,7,9,10,12,14],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,10,13,14],[2,4,6,8,11,12,14],[2,4,6,9,10,11,14],[2,5,7,8,9,12,14],[2,5,7,9,11,12,13],[3,4,5,6,12,13,14],[3,4,7,8,10,11,13],[3,4,7,9,11,12,13],[3,5,6,8,9,10,13],[3,5,6,9,10,11,14],[4,5,6,7,8,10,12]]; G[6052]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6053: autom. group order 2, simple, residual B[6053]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,10,11,14],[2,4,6,9,11,12,13],[2,5,7,8,9,10,13],[2,5,7,9,11,12,14],[3,4,5,6,10,13,14],[3,4,7,8,11,12,13],[3,4,7,9,10,11,14],[3,5,6,8,9,12,14],[3,5,6,9,10,11,13],[4,5,6,7,8,10,12]]; G[6053]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6054: autom. group order 2, simple, residual B[6054]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,10,11,13],[2,4,6,9,11,12,14],[2,5,7,8,9,12,13],[2,5,7,9,10,11,14],[3,4,5,6,10,13,14],[3,4,7,8,11,12,14],[3,4,7,9,10,11,13],[3,5,6,8,9,10,14],[3,5,6,9,11,12,13],[4,5,6,7,8,10,12]]; G[6054]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6055: autom. group order 2, simple, residual B[6055]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,10,11,14],[2,4,6,9,11,12,13],[2,5,7,8,9,12,14],[2,5,7,9,10,11,13],[3,4,5,6,10,13,14],[3,4,7,8,11,12,13],[3,4,7,9,10,11,14],[3,5,6,8,9,10,13],[3,5,6,9,11,12,14],[4,5,6,7,8,10,12]]; G[6055]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6056: autom. group order 2, simple, residual B[6056]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,11,14],[2,5,7,8,9,10,13],[2,5,7,9,11,12,14],[3,4,5,6,10,13,14],[3,4,7,8,10,11,14],[3,4,7,9,11,12,13],[3,5,6,8,9,12,14],[3,5,6,9,10,11,13],[4,5,6,7,8,10,12]]; G[6056]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6057: autom. group order 2, simple, residual B[6057]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,11,12,14],[2,4,6,9,10,11,13],[2,5,7,8,9,10,14],[2,5,7,9,11,12,13],[3,4,5,6,10,13,14],[3,4,7,8,10,11,13],[3,4,7,9,11,12,14],[3,5,6,8,9,12,13],[3,5,6,9,10,11,14],[4,5,6,7,8,10,12]]; G[6057]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6058: autom. group order 2, simple, residual B[6058]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,11,14],[2,5,7,8,9,12,14],[2,5,7,9,10,11,13],[3,4,5,6,10,13,14],[3,4,7,8,10,11,14],[3,4,7,9,11,12,13],[3,5,6,8,9,10,13],[3,5,6,9,11,12,14],[4,5,6,7,8,10,12]]; G[6058]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6059: autom. group order 2, simple, residual B[6059]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,11,12,14],[2,4,6,9,10,11,13],[2,5,7,8,9,12,13],[2,5,7,9,10,11,14],[3,4,5,6,10,13,14],[3,4,7,8,10,11,13],[3,4,7,9,11,12,14],[3,5,6,8,9,10,14],[3,5,6,9,11,12,13],[4,5,6,7,8,10,12]]; G[6059]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6060: autom. group order 2, simple, residual B[6060]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,10,13,14],[1,3,5,9,11,12,14],[1,3,7,9,12,13,14],[1,4,5,10,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,11,12,13],[1,5,6,7,8,9,11],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,7,9,10,14],[2,4,6,8,9,12,14],[2,4,6,9,11,12,13],[2,5,7,8,11,12,14],[2,5,7,9,10,12,13],[3,4,5,6,8,12,13],[3,4,7,8,9,10,13],[3,4,7,8,10,11,14],[3,5,6,8,10,12,14],[3,5,6,9,10,11,13],[4,5,6,7,11,13,14]]; G[6060]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 6061: autom. group order 2, simple, residual B[6061]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,10,13,14],[1,3,5,9,11,12,14],[1,3,7,9,12,13,14],[1,4,5,10,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,11,12,13],[1,5,6,7,8,9,11],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,7,8,12,14],[2,4,6,8,9,12,14],[2,4,6,9,11,12,13],[2,5,7,9,10,11,14],[2,5,7,9,10,12,13],[3,4,5,6,9,10,13],[3,4,7,8,9,10,13],[3,4,7,8,10,11,14],[3,5,6,8,10,12,14],[3,5,6,8,11,12,13],[4,5,6,7,11,13,14]]; G[6061]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 6062: autom. group order 2, simple, residual B[6062]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,12,13,14],[1,3,5,9,10,12,14],[1,3,7,9,11,13,14],[1,4,5,11,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,10,12,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,8,11,14],[2,4,6,8,9,12,14],[2,4,6,9,10,11,13],[2,5,7,9,10,12,13],[2,5,7,9,11,12,14],[3,4,5,6,9,12,13],[3,4,7,8,9,11,13],[3,4,7,8,10,12,14],[3,5,6,8,10,11,14],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[6062]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 6063: autom. group order 2, simple, residual B[6063]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,11,12,14],[1,3,5,9,11,13,14],[1,3,7,9,11,12,14],[1,4,5,8,9,10,12],[1,4,6,8,10,13,14],[1,4,7,9,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,7,12,13,14],[2,4,6,9,10,11,14],[2,4,6,9,11,12,13],[2,5,7,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,6,12,13,14],[3,4,7,8,10,11,14],[3,4,7,8,11,12,13],[3,5,6,8,10,11,13],[3,5,6,9,10,12,14],[4,5,6,7,8,9,11]]; G[6063]:=Group([(2,3)(6,7)(8,9)]); # Design 6064: autom. group order 2, simple B[6064]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,10,13],[1,3,5,9,11,12,14],[1,3,7,8,9,12,14],[1,4,5,10,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,11,12,13],[1,5,6,7,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,7,9,10,14],[2,4,6,8,11,12,14],[2,4,6,9,12,13,14],[2,5,7,8,10,12,14],[2,5,7,9,11,12,13],[3,4,5,6,8,12,13],[3,4,7,8,10,13,14],[3,4,7,9,10,11,13],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13],[4,5,6,7,8,9,11]]; G[6064]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 6065: autom. group order 2, simple B[6065]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,10,13],[1,3,5,9,11,12,14],[1,3,7,8,9,12,14],[1,4,5,10,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,11,12,13],[1,5,6,7,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,7,9,12,13],[2,4,6,8,11,12,14],[2,4,6,9,12,13,14],[2,5,7,8,10,12,14],[2,5,7,9,10,11,14],[3,4,5,6,8,10,14],[3,4,7,8,10,13,14],[3,4,7,9,10,11,13],[3,5,6,8,11,12,13],[3,5,6,9,10,12,13],[4,5,6,7,8,9,11]]; G[6065]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 6066: autom. group order 2, simple B[6066]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,12,13],[1,3,5,9,10,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,10,12,13],[1,5,6,7,10,13,14],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,9,12,14],[2,4,6,8,10,12,14],[2,4,6,9,11,13,14],[2,5,7,8,10,11,14],[2,5,7,9,11,12,13],[3,4,5,6,8,11,13],[3,4,7,8,12,13,14],[3,4,7,9,10,11,13],[3,5,6,8,11,12,14],[3,5,6,9,10,12,13],[4,5,6,7,8,9,10]]; G[6066]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 6067: autom. group order 2, simple B[6067]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,12,13],[1,3,5,9,10,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,10,12,13],[1,5,6,7,10,13,14],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,8,11,14],[2,4,6,8,10,12,14],[2,4,6,9,11,13,14],[2,5,7,9,10,12,14],[2,5,7,9,11,12,13],[3,4,5,6,9,12,13],[3,4,7,8,12,13,14],[3,4,7,9,10,11,13],[3,5,6,8,10,11,13],[3,5,6,8,11,12,14],[4,5,6,7,8,9,10]]; G[6067]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 6068: autom. group order 2, simple B[6068]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,12,14],[1,3,5,9,10,12,14],[1,3,7,8,9,11,13],[1,4,5,11,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,10,12,13],[1,5,6,7,10,13,14],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,8,11,14],[2,4,6,8,12,13,14],[2,4,6,9,10,11,13],[2,5,7,9,10,12,13],[2,5,7,9,11,12,14],[3,4,5,6,9,12,13],[3,4,7,8,10,12,14],[3,4,7,9,11,13,14],[3,5,6,8,10,11,14],[3,5,6,8,11,12,13],[4,5,6,7,8,9,10]]; G[6068]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 6069: autom. group order 2, simple B[6069]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,12,14],[1,3,5,9,10,12,14],[1,3,7,8,9,11,13],[1,4,5,11,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,10,12,13],[1,5,6,7,10,13,14],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,8,12,14],[2,4,6,8,11,13,14],[2,4,6,9,10,12,13],[2,5,7,9,10,11,14],[2,5,7,9,11,12,13],[3,4,5,6,9,11,13],[3,4,7,8,10,11,14],[3,4,7,9,12,13,14],[3,5,6,8,10,12,13],[3,5,6,8,11,12,14],[4,5,6,7,8,9,10]]; G[6069]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 6070: autom. group order 2, simple, residual B[6070]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,10,13,14],[1,2,6,8,12,13,14],[1,3,5,9,12,13,14],[1,3,7,8,9,10,12],[1,4,5,7,11,12,14],[1,4,6,8,9,10,14],[1,4,7,8,9,11,13],[1,5,6,8,10,11,14],[1,6,7,9,11,12,13],[2,3,6,7,8,12,14],[2,3,7,8,9,11,14],[2,4,5,8,11,12,13],[2,4,6,7,9,10,13],[2,4,6,9,11,12,14],[2,5,7,9,10,11,14],[2,5,8,9,10,12,13],[3,4,5,6,9,13,14],[3,4,7,10,12,13,14],[3,4,8,10,11,13,14],[3,5,6,7,8,11,13],[3,5,6,9,10,11,12],[4,5,6,7,8,10,12]]; G[6070]:=Group([(1,13)(2,14)(5,10)(6,12)(9,11)]); # Design 6071: autom. group order 2, simple B[6071]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,13,14],[1,2,6,8,10,13,14],[1,3,5,9,10,12,14],[1,3,7,8,11,12,13],[1,4,5,7,12,13,14],[1,4,6,8,9,11,14],[1,4,7,9,10,11,14],[1,5,6,8,9,10,12],[1,6,7,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,11,14],[2,4,5,9,11,12,13],[2,4,6,7,10,12,14],[2,4,6,8,9,12,13],[2,5,7,8,10,11,12],[2,5,9,10,11,13,14],[3,4,5,6,11,13,14],[3,4,7,8,9,10,13],[3,4,8,10,12,13,14],[3,5,6,7,9,10,13],[3,5,6,8,11,12,14],[4,5,6,7,8,10,11]]; G[6071]:=Group([(2,13)(3,7)(4,12)(5,11)(6,8)(10,14)]); # Design 6072: autom. group order 2, simple B[6072]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,11,12,13],[1,3,5,9,11,12,14],[1,3,7,8,9,12,14],[1,4,5,7,10,12,13],[1,4,6,8,9,11,13],[1,4,7,8,9,10,13],[1,5,6,8,10,11,14],[1,6,7,9,10,12,14],[2,3,6,9,10,12,13],[2,3,7,8,9,10,11],[2,4,5,8,10,12,14],[2,4,6,7,8,12,14],[2,4,6,7,9,11,14],[2,5,7,9,11,12,13],[2,5,8,9,10,13,14],[3,4,5,6,9,13,14],[3,4,7,10,11,13,14],[3,4,8,11,12,13,14],[3,5,6,7,8,10,11],[3,5,6,7,8,12,13],[4,5,6,9,10,11,12]]; G[6072]:=Group([(1,14)(2,13)(5,11)(6,10)(9,12)]); # Design 6073: autom. group order 2, simple, residual B[6073]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,10,13,14],[1,2,6,8,12,13,14],[1,3,5,9,12,13,14],[1,3,7,8,9,10,12],[1,4,5,8,11,12,14],[1,4,6,7,9,10,14],[1,4,7,8,9,11,13],[1,5,6,8,10,11,14],[1,6,7,9,11,12,13],[2,3,6,7,8,12,14],[2,3,7,8,9,11,14],[2,4,5,7,11,12,13],[2,4,6,8,9,10,13],[2,4,6,9,11,12,14],[2,5,7,9,10,11,14],[2,5,8,9,10,12,13],[3,4,5,6,9,13,14],[3,4,7,10,12,13,14],[3,4,8,10,11,13,14],[3,5,6,7,8,11,13],[3,5,6,9,10,11,12],[4,5,6,7,8,10,12]]; G[6073]:=Group([(1,13)(2,14)(5,10)(6,12)(9,11)]); # Design 6074: autom. group order 2, simple, residual B[6074]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,10,13,14],[1,2,6,8,12,13,14],[1,3,5,9,12,13,14],[1,3,7,8,9,11,13],[1,4,5,8,11,12,14],[1,4,6,7,9,10,14],[1,4,7,8,9,10,12],[1,5,6,8,10,11,14],[1,6,7,9,11,12,13],[2,3,6,7,8,12,14],[2,3,7,8,9,11,14],[2,4,5,7,11,12,13],[2,4,6,8,9,10,13],[2,4,6,9,11,12,14],[2,5,7,9,10,11,14],[2,5,8,9,10,12,13],[3,4,5,6,9,13,14],[3,4,7,10,12,13,14],[3,4,8,10,11,13,14],[3,5,6,7,8,10,12],[3,5,6,9,10,11,12],[4,5,6,7,8,11,13]]; G[6074]:=Group([(1,13)(2,14)(5,10)(6,12)(9,11)]); # Design 6075: autom. group order 2, simple, residual B[6075]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,11,12,13],[1,3,5,9,11,12,14],[1,3,7,8,9,10,13],[1,4,5,8,10,12,13],[1,4,6,7,9,11,13],[1,4,7,8,9,12,14],[1,5,6,8,10,11,14],[1,6,7,9,10,12,14],[2,3,6,7,8,12,14],[2,3,7,8,9,10,11],[2,4,5,7,10,12,14],[2,4,6,8,9,11,14],[2,4,6,9,10,12,13],[2,5,7,9,11,12,13],[2,5,8,9,10,13,14],[3,4,5,6,9,13,14],[3,4,7,10,11,13,14],[3,4,8,11,12,13,14],[3,5,6,7,8,12,13],[3,5,6,9,10,11,12],[4,5,6,7,8,10,11]]; G[6075]:=Group([(1,14)(2,13)(5,11)(6,10)(9,12)]); # Design 6076: autom. group order 2, simple B[6076]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,10,13,14],[1,2,6,8,12,13,14],[1,3,5,9,12,13,14],[1,3,7,8,9,10,12],[1,4,5,8,11,12,14],[1,4,6,7,9,10,14],[1,4,7,8,9,11,13],[1,5,6,8,10,11,14],[1,6,7,9,11,12,13],[2,3,6,9,11,12,14],[2,3,7,8,9,11,14],[2,4,5,7,11,12,13],[2,4,6,7,8,12,14],[2,4,6,8,9,10,13],[2,5,7,9,10,11,14],[2,5,8,9,10,12,13],[3,4,5,6,9,13,14],[3,4,7,10,12,13,14],[3,4,8,10,11,13,14],[3,5,6,7,8,10,12],[3,5,6,7,8,11,13],[4,5,6,9,10,11,12]]; G[6076]:=Group([(1,13)(2,14)(5,10)(6,12)(9,11)]); # Design 6077: autom. group order 2, simple B[6077]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,11,12,13],[1,3,5,9,11,12,14],[1,3,7,8,9,12,14],[1,4,5,8,10,12,13],[1,4,6,7,9,11,13],[1,4,7,8,9,10,13],[1,5,6,8,10,11,14],[1,6,7,9,10,12,14],[2,3,6,9,10,12,13],[2,3,7,8,9,10,11],[2,4,5,7,10,12,14],[2,4,6,7,8,12,14],[2,4,6,8,9,11,14],[2,5,7,9,11,12,13],[2,5,8,9,10,13,14],[3,4,5,6,9,13,14],[3,4,7,10,11,13,14],[3,4,8,11,12,13,14],[3,5,6,7,8,10,11],[3,5,6,7,8,12,13],[4,5,6,9,10,11,12]]; G[6077]:=Group([(1,14)(2,13)(5,11)(6,10)(9,12)]); # Design 6078: autom. group order 2, simple, residual B[6078]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,9,11,14],[1,3,5,7,8,12,14],[1,3,8,9,11,12,13],[1,4,5,9,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,13,14],[1,5,6,7,9,10,12],[1,6,7,8,11,12,13],[2,3,6,9,10,12,13],[2,3,7,8,9,11,14],[2,4,5,11,12,13,14],[2,4,6,7,8,12,13],[2,4,6,8,9,12,14],[2,5,7,8,10,13,14],[2,5,7,9,10,11,12],[3,4,5,6,7,11,13],[3,4,7,8,9,10,13],[3,4,7,10,11,12,14],[3,5,6,8,10,12,14],[3,5,6,9,11,13,14],[4,5,6,8,9,10,11]]; G[6078]:=Group([(2,11)(3,8)(4,13)(5,12)]); # Design 6079: autom. group order 2, simple, residual B[6079]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,9,11,14],[1,3,5,7,8,12,14],[1,3,8,9,11,12,13],[1,4,5,9,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,13,14],[1,5,6,7,9,10,12],[1,6,7,8,11,12,13],[2,3,6,9,12,13,14],[2,3,7,8,9,11,14],[2,4,5,11,12,13,14],[2,4,6,7,8,12,13],[2,4,6,8,9,10,12],[2,5,7,8,10,13,14],[2,5,7,9,10,11,12],[3,4,5,6,7,11,13],[3,4,7,8,9,10,13],[3,4,7,10,11,12,14],[3,5,6,8,10,12,14],[3,5,6,9,10,11,13],[4,5,6,8,9,11,14]]; G[6079]:=Group([(2,11)(3,8)(4,13)(5,12)]); # Design 6080: autom. group order 2, simple B[6080]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,12,13,14],[1,3,7,9,10,11,12],[1,4,5,8,9,12,14],[1,4,6,8,10,11,14],[1,4,7,8,9,11,13],[1,5,6,7,9,10,14],[1,6,7,8,11,12,13],[2,3,6,7,8,12,14],[2,3,7,8,9,11,14],[2,4,5,7,11,12,13],[2,4,6,7,9,10,13],[2,4,6,9,11,12,14],[2,5,7,8,10,11,14],[2,5,8,9,10,12,13],[3,4,5,6,11,13,14],[3,4,7,9,10,13,14],[3,4,8,10,12,13,14],[3,5,6,8,9,11,13],[3,5,6,9,10,11,12],[4,5,6,7,8,10,12]]; G[6080]:=Group([(1,13)(2,14)(5,10)(6,12)(7,8)]); # Design 6081: autom. group order 2, simple, residual B[6081]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,12,13,14],[1,3,7,9,10,11,12],[1,4,5,8,9,12,14],[1,4,6,8,10,11,14],[1,4,7,8,9,11,13],[1,5,6,7,9,10,14],[1,6,7,8,11,12,13],[2,3,6,9,11,12,14],[2,3,7,8,9,11,14],[2,4,5,7,11,12,13],[2,4,6,7,8,12,14],[2,4,6,7,9,10,13],[2,5,7,8,10,11,14],[2,5,8,9,10,12,13],[3,4,5,6,11,13,14],[3,4,7,9,10,13,14],[3,4,8,10,12,13,14],[3,5,6,7,8,10,12],[3,5,6,8,9,11,13],[4,5,6,9,10,11,12]]; G[6081]:=Group([(1,13)(2,14)(5,10)(6,12)(7,8)]); # Design 6082: autom. group order 2, simple, residual B[6082]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,12,13,14],[1,3,7,9,10,11,12],[1,4,5,8,11,12,14],[1,4,6,8,9,10,14],[1,4,7,8,9,11,13],[1,5,6,7,9,10,14],[1,6,7,8,11,12,13],[2,3,6,9,11,12,14],[2,3,7,8,9,11,14],[2,4,5,7,9,12,13],[2,4,6,7,8,12,14],[2,4,6,7,10,11,13],[2,5,7,8,10,11,14],[2,5,8,9,10,12,13],[3,4,5,6,11,13,14],[3,4,7,9,10,13,14],[3,4,8,10,12,13,14],[3,5,6,7,8,10,12],[3,5,6,8,9,11,13],[4,5,6,9,10,11,12]]; G[6082]:=Group([(1,13)(2,14)(5,10)(6,12)(7,8)]); # Design 6083: autom. group order 2, simple, residual B[6083]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,11,12,13,14],[1,2,6,8,9,11,13],[1,3,5,7,8,11,14],[1,3,8,9,10,12,13],[1,4,5,7,9,10,13],[1,4,6,7,11,12,13],[1,4,7,8,9,12,14],[1,5,6,9,10,11,14],[1,6,7,8,10,12,14],[2,3,6,7,9,12,14],[2,3,7,9,10,11,12],[2,4,5,8,10,12,14],[2,4,6,7,8,10,13],[2,4,6,8,9,11,14],[2,5,7,8,11,12,13],[2,5,7,9,10,13,14],[3,4,5,6,12,13,14],[3,4,7,9,11,13,14],[3,4,8,10,11,13,14],[3,5,6,7,8,10,11],[3,5,6,8,9,12,13],[4,5,6,9,10,11,12]]; G[6083]:=Group([(1,14)(2,13)(5,11)(6,10)(7,8)]); # Design 6084: autom. group order 2, simple, residual B[6084]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,13,14],[1,3,5,9,11,12,14],[1,3,7,8,12,13,14],[1,4,5,10,12,13,14],[1,4,6,9,11,12,14],[1,4,7,8,10,11,13],[1,5,6,7,8,9,11],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,7,9,10,14],[2,4,6,8,9,12,13],[2,4,7,9,11,12,13],[2,5,6,8,10,12,14],[2,5,7,8,11,12,14],[3,4,5,6,8,12,13],[3,4,6,8,10,11,14],[3,4,7,8,9,10,14],[3,5,6,9,10,11,13],[3,5,7,9,10,12,13],[4,5,6,7,11,13,14]]; G[6084]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 6085: autom. group order 2, simple, residual B[6085]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,13,14],[1,3,5,9,11,12,14],[1,3,7,8,12,13,14],[1,4,5,10,12,13,14],[1,4,6,9,11,12,14],[1,4,7,8,10,11,13],[1,5,6,7,8,9,11],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,7,9,12,13],[2,4,6,8,9,12,13],[2,4,7,9,10,11,14],[2,5,6,8,10,12,14],[2,5,7,8,11,12,14],[3,4,5,6,8,10,14],[3,4,6,8,11,12,13],[3,4,7,8,9,10,14],[3,5,6,9,10,11,13],[3,5,7,9,10,12,13],[4,5,6,7,11,13,14]]; G[6085]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 6086: autom. group order 2, simple, residual B[6086]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,12,13,14],[1,3,5,9,10,12,14],[1,3,7,8,11,13,14],[1,4,5,11,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,10,12,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,9,11,14],[2,4,6,8,9,11,13],[2,4,7,9,10,12,13],[2,5,6,8,10,12,14],[2,5,7,8,11,12,14],[3,4,5,6,8,12,13],[3,4,6,8,10,11,14],[3,4,7,8,9,12,14],[3,5,6,9,11,12,13],[3,5,7,9,10,11,13],[4,5,6,7,10,13,14]]; G[6086]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 6087: autom. group order 2, simple, residual B[6087]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,12,13,14],[1,3,5,9,10,12,14],[1,3,7,8,11,13,14],[1,4,5,11,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,10,12,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,9,12,13],[2,4,6,8,9,11,13],[2,4,7,9,10,11,14],[2,5,6,8,10,12,14],[2,5,7,8,11,12,14],[3,4,5,6,8,11,14],[3,4,6,8,10,12,13],[3,4,7,8,9,12,14],[3,5,6,9,11,12,13],[3,5,7,9,10,11,13],[4,5,6,7,10,13,14]]; G[6087]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 6088: autom. group order 2, simple, residual B[6088]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,13,14],[1,3,5,9,11,12,14],[1,3,7,8,12,13,14],[1,4,5,10,12,13,14],[1,4,6,9,11,12,14],[1,4,7,8,10,11,13],[1,5,6,7,8,9,11],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,7,9,10,14],[2,4,6,8,9,12,13],[2,4,7,8,11,12,14],[2,5,6,8,10,12,14],[2,5,7,9,11,12,13],[3,4,5,6,8,12,13],[3,4,6,9,10,11,13],[3,4,7,8,9,10,14],[3,5,6,8,10,11,14],[3,5,7,9,10,12,13],[4,5,6,7,11,13,14]]; G[6088]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 6089: autom. group order 2, simple, residual B[6089]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,13,14],[1,3,5,9,11,12,14],[1,3,7,8,12,13,14],[1,4,5,10,12,13,14],[1,4,6,9,11,12,14],[1,4,7,8,10,11,13],[1,5,6,7,8,9,11],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,7,9,12,13],[2,4,6,8,9,12,13],[2,4,7,8,11,12,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,14],[3,4,5,6,8,10,14],[3,4,6,9,10,11,13],[3,4,7,8,9,10,14],[3,5,6,8,11,12,13],[3,5,7,9,10,12,13],[4,5,6,7,11,13,14]]; G[6089]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 6090: autom. group order 2, simple, residual B[6090]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,12,13,14],[1,3,5,9,10,12,14],[1,3,7,8,11,13,14],[1,4,5,11,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,10,12,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,9,11,13],[2,4,6,8,9,12,13],[2,4,7,8,10,12,14],[2,5,6,8,10,11,14],[2,5,7,9,11,12,14],[3,4,5,6,8,12,14],[3,4,6,9,10,11,13],[3,4,7,8,9,11,14],[3,5,6,8,11,12,13],[3,5,7,9,10,12,13],[4,5,6,7,10,13,14]]; G[6090]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 6091: autom. group order 2, simple, residual B[6091]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,13,14],[1,3,5,9,11,12,14],[1,3,7,8,12,13,14],[1,4,5,10,12,13,14],[1,4,6,9,11,12,14],[1,4,7,8,10,11,13],[1,5,6,7,8,9,11],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,7,8,12,14],[2,4,6,8,9,12,13],[2,4,7,9,10,11,14],[2,5,6,8,10,12,14],[2,5,7,9,11,12,13],[3,4,5,6,9,10,13],[3,4,6,8,11,12,13],[3,4,7,8,9,10,14],[3,5,6,8,10,11,14],[3,5,7,9,10,12,13],[4,5,6,7,11,13,14]]; G[6091]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 6092: autom. group order 2, simple, residual B[6092]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,13,14],[1,3,5,9,11,12,14],[1,3,7,8,12,13,14],[1,4,5,10,12,13,14],[1,4,6,9,11,12,14],[1,4,7,8,10,11,13],[1,5,6,7,8,9,11],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,7,8,12,14],[2,4,6,8,9,12,13],[2,4,7,9,11,12,13],[2,5,6,8,10,12,14],[2,5,7,9,10,11,14],[3,4,5,6,9,10,13],[3,4,6,8,10,11,14],[3,4,7,8,9,10,14],[3,5,6,8,11,12,13],[3,5,7,9,10,12,13],[4,5,6,7,11,13,14]]; G[6092]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 6093: autom. group order 2, simple, residual B[6093]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,13,14],[1,3,5,9,11,12,14],[1,3,7,8,12,13,14],[1,4,5,10,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,11,12,13],[1,5,6,7,8,9,11],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,7,9,10,14],[2,4,6,9,11,12,13],[2,4,7,8,9,12,14],[2,5,6,8,11,12,14],[2,5,7,8,10,12,13],[3,4,5,6,8,12,13],[3,4,6,8,9,10,13],[3,4,7,8,10,11,14],[3,5,6,9,10,12,14],[3,5,7,9,10,11,13],[4,5,6,7,11,13,14]]; G[6093]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 6094: autom. group order 2, simple, residual B[6094]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,13,14],[1,3,5,9,11,12,14],[1,3,7,8,12,13,14],[1,4,5,10,12,13,14],[1,4,6,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,7,8,9,11],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,7,9,12,14],[2,4,6,9,11,12,13],[2,4,7,8,9,10,14],[2,5,6,8,10,12,14],[2,5,7,8,11,12,13],[3,4,5,6,8,10,13],[3,4,6,8,9,12,13],[3,4,7,8,10,11,14],[3,5,6,9,10,11,14],[3,5,7,9,10,12,13],[4,5,6,7,11,13,14]]; G[6094]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 6095: autom. group order 2, simple, residual B[6095]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,12,13,14],[1,3,5,9,10,12,14],[1,3,7,8,11,13,14],[1,4,5,11,12,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,11,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,9,12,13],[2,4,6,9,10,11,14],[2,4,7,8,9,11,14],[2,5,6,8,11,12,13],[2,5,7,8,10,12,14],[3,4,5,6,8,11,14],[3,4,6,8,9,12,13],[3,4,7,8,10,12,13],[3,5,6,9,10,11,13],[3,5,7,9,11,12,14],[4,5,6,7,10,13,14]]; G[6095]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 6096: autom. group order 2, simple, residual B[6096]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,13,14],[1,3,5,9,11,12,14],[1,3,7,8,12,13,14],[1,4,5,10,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,11,12,13],[1,5,6,7,8,9,11],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,7,9,10,14],[2,4,6,8,11,12,14],[2,4,7,8,9,12,14],[2,5,6,9,11,12,13],[2,5,7,8,10,12,13],[3,4,5,6,8,12,13],[3,4,6,8,9,10,13],[3,4,7,9,10,11,13],[3,5,6,9,10,12,14],[3,5,7,8,10,11,14],[4,5,6,7,11,13,14]]; G[6096]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 6097: autom. group order 2, simple, residual B[6097]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,13,14],[1,3,5,9,11,12,14],[1,3,7,8,12,13,14],[1,4,5,10,12,13,14],[1,4,6,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,7,8,9,11],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,7,9,12,13],[2,4,6,8,11,12,13],[2,4,7,8,9,12,14],[2,5,6,9,10,12,14],[2,5,7,8,10,11,14],[3,4,5,6,8,10,14],[3,4,6,8,9,10,13],[3,4,7,9,10,11,14],[3,5,6,9,11,12,13],[3,5,7,8,10,12,13],[4,5,6,7,11,13,14]]; G[6097]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 6098: autom. group order 2, simple, residual B[6098]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,12,13,14],[1,3,5,9,10,12,14],[1,3,7,8,11,13,14],[1,4,5,11,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,12,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,9,11,13],[2,4,6,8,10,12,13],[2,4,7,8,9,12,14],[2,5,6,9,10,11,14],[2,5,7,8,11,12,14],[3,4,5,6,8,12,14],[3,4,6,8,9,11,13],[3,4,7,9,10,11,14],[3,5,6,9,11,12,13],[3,5,7,8,10,12,13],[4,5,6,7,10,13,14]]; G[6098]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 6099: autom. group order 2, simple, residual B[6099]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,12,13,14],[1,3,5,9,10,12,14],[1,3,7,8,11,13,14],[1,4,5,11,12,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,11,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,9,11,14],[2,4,6,8,10,11,14],[2,4,7,8,9,12,14],[2,5,6,9,11,12,13],[2,5,7,8,10,12,13],[3,4,5,6,8,12,13],[3,4,6,8,9,11,13],[3,4,7,9,10,12,13],[3,5,6,9,10,11,14],[3,5,7,8,11,12,14],[4,5,6,7,10,13,14]]; G[6099]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 6100: autom. group order 2, simple, residual B[6100]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,13,14],[1,3,5,9,11,12,14],[1,3,7,8,12,13,14],[1,4,5,10,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,11,12,13],[1,5,6,7,8,9,11],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,7,8,12,14],[2,4,6,9,11,12,14],[2,4,7,8,9,10,14],[2,5,6,8,11,12,13],[2,5,7,9,10,12,13],[3,4,5,6,9,10,13],[3,4,6,8,9,12,13],[3,4,7,8,10,11,13],[3,5,6,8,10,12,14],[3,5,7,9,10,11,14],[4,5,6,7,11,13,14]]; G[6100]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 6101: autom. group order 2, simple, residual B[6101]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,13,14],[1,3,5,9,11,12,14],[1,3,7,8,12,13,14],[1,4,5,10,12,13,14],[1,4,6,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,7,8,9,11],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,7,8,12,13],[2,4,6,9,11,12,13],[2,4,7,8,9,10,14],[2,5,6,8,10,12,14],[2,5,7,9,11,12,14],[3,4,5,6,9,10,14],[3,4,6,8,9,12,13],[3,4,7,8,10,11,14],[3,5,6,8,10,11,13],[3,5,7,9,10,12,13],[4,5,6,7,11,13,14]]; G[6101]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 6102: autom. group order 2, simple, residual B[6102]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,12,13,14],[1,3,5,9,10,12,14],[1,3,7,8,11,13,14],[1,4,5,11,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,12,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,8,12,13],[2,4,6,9,10,11,13],[2,4,7,8,9,11,14],[2,5,6,8,10,12,14],[2,5,7,9,11,12,14],[3,4,5,6,9,11,14],[3,4,6,8,9,12,13],[3,4,7,8,10,12,14],[3,5,6,8,11,12,13],[3,5,7,9,10,11,13],[4,5,6,7,10,13,14]]; G[6102]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 6103: autom. group order 2, simple, residual B[6103]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,12,13,14],[1,3,5,9,10,12,14],[1,3,7,8,11,13,14],[1,4,5,11,12,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,11,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,8,12,14],[2,4,6,9,10,11,14],[2,4,7,8,9,11,14],[2,5,6,8,11,12,13],[2,5,7,9,10,12,13],[3,4,5,6,9,11,13],[3,4,6,8,9,12,13],[3,4,7,8,10,12,13],[3,5,6,8,10,11,14],[3,5,7,9,11,12,14],[4,5,6,7,10,13,14]]; G[6103]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 6104: autom. group order 2, simple, residual B[6104]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,13],[1,3,5,11,12,13,14],[1,3,7,8,9,12,14],[1,4,5,9,10,11,14],[1,4,6,8,9,12,13],[1,4,7,9,10,13,14],[1,5,6,7,8,11,12],[1,6,7,8,10,11,14],[2,3,6,7,9,10,11],[2,3,8,10,12,13,14],[2,4,5,7,8,13,14],[2,4,6,8,11,12,14],[2,4,7,9,11,12,14],[2,5,6,8,9,10,14],[2,5,7,9,11,12,13],[3,4,5,6,10,12,14],[3,4,6,8,9,11,13],[3,4,7,8,10,11,13],[3,5,6,9,11,13,14],[3,5,7,8,9,10,12],[4,5,6,7,10,12,13]]; G[6104]:=Group([(1,12)(3,11)(5,14)(6,9)]); # Design 6105: autom. group order 2, simple, residual B[6105]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,13,14],[1,3,5,9,11,12,14],[1,3,7,8,12,13,14],[1,4,5,10,12,13,14],[1,4,6,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,7,8,9,11],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,7,8,10,14],[2,4,6,8,11,12,13],[2,4,7,8,9,12,14],[2,5,6,9,10,12,14],[2,5,7,9,11,12,13],[3,4,5,6,9,12,13],[3,4,6,8,9,10,13],[3,4,7,9,10,11,14],[3,5,6,8,10,11,14],[3,5,7,8,10,12,13],[4,5,6,7,11,13,14]]; G[6105]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 6106: autom. group order 2, simple, residual B[6106]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,12,13,14],[1,3,5,9,10,12,14],[1,3,7,8,11,13,14],[1,4,5,11,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,12,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,8,12,13],[2,4,6,8,10,12,14],[2,4,7,8,9,11,14],[2,5,6,9,10,11,13],[2,5,7,9,11,12,14],[3,4,5,6,9,11,14],[3,4,6,8,9,12,13],[3,4,7,9,10,11,13],[3,5,6,8,11,12,13],[3,5,7,8,10,12,14],[4,5,6,7,10,13,14]]; G[6106]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 6107: autom. group order 2, simple, residual B[6107]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,9,11,12,14],[1,3,5,9,11,13,14],[1,3,7,8,11,12,14],[1,4,5,8,9,10,12],[1,4,6,8,10,13,14],[1,4,7,9,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,7,12,13,14],[2,4,6,9,10,11,14],[2,4,7,9,11,12,13],[2,5,6,8,10,12,14],[2,5,7,8,10,11,13],[3,4,5,6,12,13,14],[3,4,6,8,11,12,13],[3,4,7,8,10,11,14],[3,5,6,9,10,11,13],[3,5,7,9,10,12,14],[4,5,6,7,8,9,11]]; G[6107]:=Group([(2,3)(6,7)(8,9)]); # Design 6108: autom. group order 2, simple, residual B[6108]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,9,11,12,14],[1,3,5,9,11,13,14],[1,3,7,8,11,12,14],[1,4,5,8,9,10,12],[1,4,6,8,10,13,14],[1,4,7,9,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,7,12,13,14],[2,4,6,9,11,12,13],[2,4,7,9,10,11,14],[2,5,6,8,10,11,13],[2,5,7,8,10,12,14],[3,4,5,6,12,13,14],[3,4,6,8,10,11,14],[3,4,7,8,11,12,13],[3,5,6,9,10,12,14],[3,5,7,9,10,11,13],[4,5,6,7,8,9,11]]; G[6108]:=Group([(2,3)(6,7)(8,9)]); # Design 6109: autom. group order 2, simple, residual B[6109]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,9,11,12,14],[1,3,5,9,11,13,14],[1,3,7,8,11,12,14],[1,4,5,8,9,10,12],[1,4,6,8,10,13,14],[1,4,7,9,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,7,12,13,14],[2,4,6,9,11,12,13],[2,4,7,9,10,11,14],[2,5,6,8,10,12,14],[2,5,7,8,10,11,13],[3,4,5,6,12,13,14],[3,4,6,8,10,11,14],[3,4,7,8,11,12,13],[3,5,6,9,10,11,13],[3,5,7,9,10,12,14],[4,5,6,7,8,9,11]]; G[6109]:=Group([(2,3)(6,7)(8,9)]); # Design 6110: autom. group order 2, simple, residual B[6110]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,9,11,12,14],[1,3,5,9,11,13,14],[1,3,7,8,11,12,14],[1,4,5,8,9,10,12],[1,4,6,8,10,13,14],[1,4,7,9,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,7,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,11,12,13],[2,5,6,8,10,11,13],[2,5,7,9,10,12,14],[3,4,5,6,12,13,14],[3,4,6,9,11,12,13],[3,4,7,8,10,11,14],[3,5,6,8,10,12,14],[3,5,7,9,10,11,13],[4,5,6,7,8,9,11]]; G[6110]:=Group([(2,3)(6,7)(8,9)]); # Design 6111: autom. group order 2, simple, residual B[6111]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,9,11,12,14],[1,3,5,9,11,13,14],[1,3,7,8,11,12,14],[1,4,5,8,9,10,12],[1,4,6,8,10,13,14],[1,4,7,9,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,7,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,11,12,13],[2,5,6,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,6,12,13,14],[3,4,6,9,11,12,13],[3,4,7,8,10,11,14],[3,5,6,8,10,11,13],[3,5,7,9,10,12,14],[4,5,6,7,8,9,11]]; G[6111]:=Group([(2,3)(6,7)(8,9)]); # Design 6112: autom. group order 2, simple, residual B[6112]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,9,11,12,14],[1,3,5,9,11,13,14],[1,3,7,8,11,12,14],[1,4,5,8,9,10,12],[1,4,6,8,10,13,14],[1,4,7,9,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,7,12,13,14],[2,4,6,9,11,12,13],[2,4,7,8,10,11,14],[2,5,6,8,10,11,13],[2,5,7,9,10,12,14],[3,4,5,6,12,13,14],[3,4,6,9,10,11,14],[3,4,7,8,11,12,13],[3,5,6,8,10,12,14],[3,5,7,9,10,11,13],[4,5,6,7,8,9,11]]; G[6112]:=Group([(2,3)(6,7)(8,9)]); # Design 6113: autom. group order 2, simple, residual B[6113]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,9,11,12,14],[1,3,5,9,11,13,14],[1,3,7,8,11,12,14],[1,4,5,8,9,10,12],[1,4,6,8,10,13,14],[1,4,7,9,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,7,12,13,14],[2,4,6,9,11,12,13],[2,4,7,8,10,11,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,6,12,13,14],[3,4,6,9,10,11,14],[3,4,7,8,11,12,13],[3,5,6,8,10,11,13],[3,5,7,9,10,12,14],[4,5,6,7,8,9,11]]; G[6113]:=Group([(2,3)(6,7)(8,9)]); # Design 6114: autom. group order 2, simple, residual B[6114]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,9,11,12,14],[1,3,5,9,11,13,14],[1,3,7,8,11,12,14],[1,4,5,8,9,10,12],[1,4,6,8,10,13,14],[1,4,7,9,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,7,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,11,12,13],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,6,12,13,14],[3,4,6,8,11,12,13],[3,4,7,9,10,11,14],[3,5,6,9,10,12,14],[3,5,7,8,10,11,13],[4,5,6,7,8,9,11]]; G[6114]:=Group([(2,3)(6,7)(8,9)]); # Design 6115: autom. group order 2, simple, residual B[6115]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,9,11,12,14],[1,3,5,9,11,13,14],[1,3,7,8,11,12,14],[1,4,5,8,9,10,12],[1,4,6,8,10,13,14],[1,4,7,9,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,7,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,11,12,13],[2,5,6,9,10,12,14],[2,5,7,8,10,11,13],[3,4,5,6,12,13,14],[3,4,6,8,11,12,13],[3,4,7,9,10,11,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,14],[4,5,6,7,8,9,11]]; G[6115]:=Group([(2,3)(6,7)(8,9)]); # Design 6116: autom. group order 2, simple, residual B[6116]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,9,11,12,14],[1,3,5,9,11,13,14],[1,3,7,8,11,12,14],[1,4,5,8,9,10,12],[1,4,6,8,10,13,14],[1,4,7,9,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,7,12,13,14],[2,4,6,8,11,12,13],[2,4,7,9,10,11,14],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,6,12,13,14],[3,4,6,8,10,11,14],[3,4,7,9,11,12,13],[3,5,6,9,10,12,14],[3,5,7,8,10,11,13],[4,5,6,7,8,9,11]]; G[6116]:=Group([(2,3)(6,7)(8,9)]); # Design 6117: autom. group order 2, simple, residual B[6117]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,9,11,12,14],[1,3,5,9,11,13,14],[1,3,7,8,11,12,14],[1,4,5,8,9,10,12],[1,4,6,8,10,13,14],[1,4,7,9,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,7,12,13,14],[2,4,6,8,10,11,14],[2,4,7,8,11,12,13],[2,5,6,9,10,11,13],[2,5,7,9,10,12,14],[3,4,5,6,12,13,14],[3,4,6,9,11,12,13],[3,4,7,9,10,11,14],[3,5,6,8,10,12,14],[3,5,7,8,10,11,13],[4,5,6,7,8,9,11]]; G[6117]:=Group([(2,3)(6,7)(8,9)]); # Design 6118: autom. group order 2, simple, residual B[6118]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,9,11,12,14],[1,3,5,9,11,13,14],[1,3,7,8,11,12,14],[1,4,5,8,9,10,12],[1,4,6,8,10,13,14],[1,4,7,9,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,7,12,13,14],[2,4,6,8,10,11,14],[2,4,7,8,11,12,13],[2,5,6,9,10,12,14],[2,5,7,9,10,11,13],[3,4,5,6,12,13,14],[3,4,6,9,11,12,13],[3,4,7,9,10,11,14],[3,5,6,8,10,11,13],[3,5,7,8,10,12,14],[4,5,6,7,8,9,11]]; G[6118]:=Group([(2,3)(6,7)(8,9)]); # Design 6119: autom. group order 2, simple, residual B[6119]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,9,11,12,14],[1,3,5,9,11,13,14],[1,3,7,8,11,12,14],[1,4,5,8,9,10,12],[1,4,6,8,10,13,14],[1,4,7,9,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,7,12,13,14],[2,4,6,8,11,12,13],[2,4,7,8,10,11,14],[2,5,6,9,10,11,13],[2,5,7,9,10,12,14],[3,4,5,6,12,13,14],[3,4,6,9,10,11,14],[3,4,7,9,11,12,13],[3,5,6,8,10,12,14],[3,5,7,8,10,11,13],[4,5,6,7,8,9,11]]; G[6119]:=Group([(2,3)(6,7)(8,9)]); # Design 6120: autom. group order 2, simple, residual B[6120]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,13],[1,3,5,8,11,12,14],[1,3,7,9,10,12,14],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,10,13,14],[2,4,6,9,10,11,14],[2,4,7,8,11,12,13],[2,5,6,9,11,12,14],[2,5,7,8,9,12,14],[3,4,5,6,12,13,14],[3,4,6,8,10,11,14],[3,4,7,9,11,12,13],[3,5,6,8,9,10,13],[3,5,7,9,10,11,13],[4,5,6,7,8,10,12]]; G[6120]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6121: autom. group order 2, simple, residual B[6121]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,13],[1,3,5,8,11,12,14],[1,3,7,9,10,12,14],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,10,13,14],[2,4,6,9,11,12,14],[2,4,7,8,11,12,13],[2,5,6,9,10,11,14],[2,5,7,8,9,12,14],[3,4,5,6,12,13,14],[3,4,6,8,10,11,14],[3,4,7,9,10,11,13],[3,5,6,8,9,10,13],[3,5,7,9,11,12,13],[4,5,6,7,8,10,12]]; G[6121]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6122: autom. group order 2, simple, residual B[6122]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,11,14],[2,5,6,9,11,12,14],[2,5,7,8,9,12,13],[3,4,5,6,10,13,14],[3,4,6,8,11,12,13],[3,4,7,9,11,12,14],[3,5,6,8,9,10,14],[3,5,7,9,10,11,13],[4,5,6,7,8,10,12]]; G[6122]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6123: autom. group order 2, simple, residual B[6123]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,11,13],[2,5,6,9,11,12,13],[2,5,7,8,9,12,14],[3,4,5,6,10,13,14],[3,4,6,8,11,12,14],[3,4,7,9,11,12,13],[3,5,6,8,9,10,13],[3,5,7,9,10,11,14],[4,5,6,7,8,10,12]]; G[6123]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6124: autom. group order 2, simple, residual B[6124]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,11,12,13],[2,5,6,9,11,12,14],[2,5,7,8,9,10,14],[3,4,5,6,10,13,14],[3,4,6,8,10,11,14],[3,4,7,9,11,12,14],[3,5,6,8,9,12,13],[3,5,7,9,10,11,13],[4,5,6,7,8,10,12]]; G[6124]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6125: autom. group order 2, simple, residual B[6125]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,11,12,14],[2,5,6,9,11,12,13],[2,5,7,8,9,10,13],[3,4,5,6,10,13,14],[3,4,6,8,10,11,13],[3,4,7,9,11,12,13],[3,5,6,8,9,12,14],[3,5,7,9,10,11,14],[4,5,6,7,8,10,12]]; G[6125]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6126: autom. group order 2, simple, residual B[6126]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,12,13,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,14],[2,5,6,9,10,11,14],[2,5,7,8,9,10,13],[3,4,5,6,10,13,14],[3,4,6,8,10,11,13],[3,4,7,9,10,11,14],[3,5,6,8,9,12,14],[3,5,7,9,11,12,13],[4,5,6,7,8,10,12]]; G[6126]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6127: autom. group order 2, simple, residual B[6127]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,12,13,14],[2,4,6,9,11,12,14],[2,4,7,8,11,12,13],[2,5,6,9,10,11,13],[2,5,7,8,9,10,14],[3,4,5,6,10,13,14],[3,4,6,8,10,11,14],[3,4,7,9,10,11,13],[3,5,6,8,9,12,13],[3,5,7,9,11,12,14],[4,5,6,7,8,10,12]]; G[6127]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6128: autom. group order 2, simple, residual B[6128]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,13],[1,3,5,8,11,12,14],[1,3,7,9,10,12,14],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,10,13,14],[2,4,6,9,10,11,14],[2,4,7,8,11,12,13],[2,5,6,8,9,12,14],[2,5,7,9,11,12,14],[3,4,5,6,12,13,14],[3,4,6,8,10,11,14],[3,4,7,9,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,9,10,13],[4,5,6,7,8,10,12]]; G[6128]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6129: autom. group order 2, simple, residual B[6129]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,13],[1,3,5,8,11,12,14],[1,3,7,9,10,12,14],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,10,13,14],[2,4,6,9,10,11,14],[2,4,7,8,11,12,14],[2,5,6,8,9,12,14],[2,5,7,9,11,12,13],[3,4,5,6,12,13,14],[3,4,6,8,10,11,13],[3,4,7,9,11,12,13],[3,5,6,9,10,11,14],[3,5,7,8,9,10,13],[4,5,6,7,8,10,12]]; G[6129]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6130: autom. group order 2, simple, residual B[6130]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,13],[1,3,5,8,11,12,14],[1,3,7,9,10,12,14],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,10,13,14],[2,4,6,9,11,12,14],[2,4,7,8,11,12,13],[2,5,6,8,9,10,14],[2,5,7,9,11,12,14],[3,4,5,6,12,13,14],[3,4,6,8,10,11,14],[3,4,7,9,10,11,13],[3,5,6,9,10,11,13],[3,5,7,8,9,12,13],[4,5,6,7,8,10,12]]; G[6130]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6131: autom. group order 2, simple, residual B[6131]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,13],[1,3,5,8,11,12,14],[1,3,7,9,10,12,14],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,10,13,14],[2,4,6,9,11,12,14],[2,4,7,8,11,12,14],[2,5,6,8,9,10,14],[2,5,7,9,11,12,13],[3,4,5,6,12,13,14],[3,4,6,8,10,11,13],[3,4,7,9,10,11,13],[3,5,6,9,10,11,14],[3,5,7,8,9,12,13],[4,5,6,7,8,10,12]]; G[6131]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6132: autom. group order 2, simple, residual B[6132]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,11,14],[2,5,6,8,9,12,14],[2,5,7,9,11,12,13],[3,4,5,6,10,13,14],[3,4,6,8,11,12,13],[3,4,7,9,11,12,14],[3,5,6,9,10,11,14],[3,5,7,8,9,10,13],[4,5,6,7,8,10,12]]; G[6132]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6133: autom. group order 2, simple, residual B[6133]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,11,13],[2,5,6,8,9,12,13],[2,5,7,9,11,12,14],[3,4,5,6,10,13,14],[3,4,6,8,11,12,14],[3,4,7,9,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,9,10,14],[4,5,6,7,8,10,12]]; G[6133]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6134: autom. group order 2, simple, residual B[6134]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,11,12,13],[2,5,6,8,9,12,14],[2,5,7,9,10,11,14],[3,4,5,6,10,13,14],[3,4,6,8,10,11,14],[3,4,7,9,11,12,14],[3,5,6,9,11,12,13],[3,5,7,8,9,10,13],[4,5,6,7,8,10,12]]; G[6134]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6135: autom. group order 2, simple, residual B[6135]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,11,12,14],[2,5,6,8,9,12,13],[2,5,7,9,10,11,13],[3,4,5,6,10,13,14],[3,4,6,8,10,11,13],[3,4,7,9,11,12,13],[3,5,6,9,11,12,14],[3,5,7,8,9,10,14],[4,5,6,7,8,10,12]]; G[6135]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6136: autom. group order 2, simple, residual B[6136]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,12,13,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,14],[2,5,6,8,9,10,14],[2,5,7,9,10,11,13],[3,4,5,6,10,13,14],[3,4,6,8,10,11,13],[3,4,7,9,10,11,14],[3,5,6,9,11,12,14],[3,5,7,8,9,12,13],[4,5,6,7,8,10,12]]; G[6136]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6137: autom. group order 2, simple, residual B[6137]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,13],[1,3,5,8,11,12,14],[1,3,7,9,10,12,14],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,10,13,14],[2,4,6,8,10,11,14],[2,4,7,9,11,12,13],[2,5,6,9,11,12,14],[2,5,7,8,9,12,14],[3,4,5,6,12,13,14],[3,4,6,9,10,11,14],[3,4,7,8,11,12,13],[3,5,6,8,9,10,13],[3,5,7,9,10,11,13],[4,5,6,7,8,10,12]]; G[6137]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6138: autom. group order 2, simple, residual B[6138]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,13],[1,3,5,8,11,12,14],[1,3,7,9,10,12,14],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,10,13,14],[2,4,6,8,10,11,14],[2,4,7,9,11,12,14],[2,5,6,9,11,12,14],[2,5,7,8,9,12,13],[3,4,5,6,12,13,14],[3,4,6,9,10,11,13],[3,4,7,8,11,12,13],[3,5,6,8,9,10,14],[3,5,7,9,10,11,13],[4,5,6,7,8,10,12]]; G[6138]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6139: autom. group order 2, simple, residual B[6139]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,13],[1,3,5,8,11,12,14],[1,3,7,9,10,12,14],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,10,13,14],[2,4,6,8,11,12,14],[2,4,7,9,11,12,13],[2,5,6,9,10,11,14],[2,5,7,8,9,12,14],[3,4,5,6,12,13,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,13],[3,5,6,8,9,10,13],[3,5,7,9,11,12,13],[4,5,6,7,8,10,12]]; G[6139]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6140: autom. group order 2, simple, residual B[6140]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,13],[1,3,5,8,11,12,14],[1,3,7,9,10,12,14],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,10,13,14],[2,4,6,8,11,12,14],[2,4,7,9,11,12,14],[2,5,6,9,10,11,14],[2,5,7,8,9,12,13],[3,4,5,6,12,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,13],[3,5,6,8,9,10,14],[3,5,7,9,11,12,13],[4,5,6,7,8,10,12]]; G[6140]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6141: autom. group order 2, simple, residual B[6141]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,10,11,13],[2,4,7,9,10,11,14],[2,5,6,9,11,12,14],[2,5,7,8,9,12,13],[3,4,5,6,10,13,14],[3,4,6,9,11,12,13],[3,4,7,8,11,12,14],[3,5,6,8,9,10,14],[3,5,7,9,10,11,13],[4,5,6,7,8,10,12]]; G[6141]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6142: autom. group order 2, simple, residual B[6142]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,10,11,13],[2,5,6,9,11,12,13],[2,5,7,8,9,12,14],[3,4,5,6,10,13,14],[3,4,6,9,11,12,14],[3,4,7,8,11,12,13],[3,5,6,8,9,10,13],[3,5,7,9,10,11,14],[4,5,6,7,8,10,12]]; G[6142]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6143: autom. group order 2, simple, residual B[6143]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,10,11,13],[2,4,7,9,11,12,13],[2,5,6,9,11,12,14],[2,5,7,8,9,10,14],[3,4,5,6,10,13,14],[3,4,6,9,10,11,14],[3,4,7,8,11,12,14],[3,5,6,8,9,12,13],[3,5,7,9,10,11,13],[4,5,6,7,8,10,12]]; G[6143]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6144: autom. group order 2, simple, residual B[6144]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,11,12,14],[2,5,6,9,11,12,13],[2,5,7,8,9,10,13],[3,4,5,6,10,13,14],[3,4,6,9,10,11,13],[3,4,7,8,11,12,13],[3,5,6,8,9,12,14],[3,5,7,9,10,11,14],[4,5,6,7,8,10,12]]; G[6144]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6145: autom. group order 2, simple, residual B[6145]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,11,12,14],[2,4,7,9,11,12,13],[2,5,6,9,10,11,13],[2,5,7,8,9,10,14],[3,4,5,6,10,13,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,13],[3,5,6,8,9,12,13],[3,5,7,9,11,12,14],[4,5,6,7,8,10,12]]; G[6145]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6146: autom. group order 2, simple, residual B[6146]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,13],[1,3,5,8,11,12,14],[1,3,7,9,10,12,14],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,10,13,14],[2,4,6,8,10,11,14],[2,4,7,9,11,12,13],[2,5,6,8,9,12,14],[2,5,7,9,11,12,14],[3,4,5,6,12,13,14],[3,4,6,9,10,11,14],[3,4,7,8,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,9,10,13],[4,5,6,7,8,10,12]]; G[6146]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6147: autom. group order 2, simple, residual B[6147]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,13],[1,3,5,8,11,12,14],[1,3,7,9,10,12,14],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,10,13,14],[2,4,6,8,10,11,14],[2,4,7,9,11,12,14],[2,5,6,8,9,12,14],[2,5,7,9,11,12,13],[3,4,5,6,12,13,14],[3,4,6,9,10,11,13],[3,4,7,8,11,12,13],[3,5,6,9,10,11,14],[3,5,7,8,9,10,13],[4,5,6,7,8,10,12]]; G[6147]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6148: autom. group order 2, simple, residual B[6148]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,13],[1,3,5,8,11,12,14],[1,3,7,9,10,12,14],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,10,13,14],[2,4,6,8,11,12,14],[2,4,7,9,11,12,13],[2,5,6,8,9,10,14],[2,5,7,9,11,12,14],[3,4,5,6,12,13,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,13],[3,5,6,9,10,11,13],[3,5,7,8,9,12,13],[4,5,6,7,8,10,12]]; G[6148]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6149: autom. group order 2, simple, residual B[6149]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,10,11,13],[2,4,7,9,10,11,14],[2,5,6,8,9,12,14],[2,5,7,9,11,12,13],[3,4,5,6,10,13,14],[3,4,6,9,11,12,13],[3,4,7,8,11,12,14],[3,5,6,9,10,11,14],[3,5,7,8,9,10,13],[4,5,6,7,8,10,12]]; G[6149]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6150: autom. group order 2, simple, residual B[6150]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,10,11,13],[2,5,6,8,9,12,13],[2,5,7,9,11,12,14],[3,4,5,6,10,13,14],[3,4,6,9,11,12,14],[3,4,7,8,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,9,10,14],[4,5,6,7,8,10,12]]; G[6150]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6151: autom. group order 2, simple, residual B[6151]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,10,11,13],[2,4,7,9,11,12,13],[2,5,6,8,9,12,14],[2,5,7,9,10,11,14],[3,4,5,6,10,13,14],[3,4,6,9,10,11,14],[3,4,7,8,11,12,14],[3,5,6,9,11,12,13],[3,5,7,8,9,10,13],[4,5,6,7,8,10,12]]; G[6151]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6152: autom. group order 2, simple, residual B[6152]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,11,12,14],[2,5,6,8,9,12,13],[2,5,7,9,10,11,13],[3,4,5,6,10,13,14],[3,4,6,9,10,11,13],[3,4,7,8,11,12,13],[3,5,6,9,11,12,14],[3,5,7,8,9,10,14],[4,5,6,7,8,10,12]]; G[6152]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6153: autom. group order 2, simple, residual B[6153]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,11,12,13],[2,4,7,9,11,12,14],[2,5,6,8,9,10,14],[2,5,7,9,10,11,13],[3,4,5,6,10,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,14],[3,5,6,9,11,12,14],[3,5,7,8,9,12,13],[4,5,6,7,8,10,12]]; G[6153]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6154: autom. group order 2, simple, residual B[6154]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,11,12,14],[2,4,7,9,11,12,13],[2,5,6,8,9,10,13],[2,5,7,9,10,11,14],[3,4,5,6,10,13,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,13],[3,5,6,9,11,12,13],[3,5,7,8,9,12,14],[4,5,6,7,8,10,12]]; G[6154]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6155: autom. group order 2, simple, residual B[6155]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,12,13,14],[1,3,5,9,10,12,14],[1,3,7,9,11,13,14],[1,4,5,11,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,10,12,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,9,11,13],[2,4,6,8,9,11,14],[2,4,7,9,10,12,14],[2,5,6,9,10,12,13],[2,5,7,8,11,12,14],[3,4,5,6,8,12,14],[3,4,6,8,10,11,13],[3,4,7,8,9,12,13],[3,5,6,9,11,12,13],[3,5,7,8,10,11,14],[4,5,6,7,10,13,14]]; G[6155]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 6156: autom. group order 2, simple, residual B[6156]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,12,13,14],[1,3,5,9,10,12,14],[1,3,7,9,11,13,14],[1,4,5,11,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,10,12,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,9,12,14],[2,4,6,8,9,11,14],[2,4,7,9,10,11,13],[2,5,6,9,10,12,13],[2,5,7,8,11,12,14],[3,4,5,6,8,11,13],[3,4,6,8,10,12,14],[3,4,7,8,9,12,13],[3,5,6,9,11,12,13],[3,5,7,8,10,11,14],[4,5,6,7,10,13,14]]; G[6156]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 6157: autom. group order 2, simple, residual B[6157]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,12,13,14],[1,3,5,9,10,12,14],[1,3,7,9,11,13,14],[1,4,5,11,12,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,11,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,9,11,14],[2,4,6,8,9,11,14],[2,4,7,9,10,12,13],[2,5,6,9,11,12,13],[2,5,7,8,10,12,14],[3,4,5,6,8,12,13],[3,4,6,8,10,11,14],[3,4,7,8,9,12,13],[3,5,6,9,10,11,13],[3,5,7,8,11,12,14],[4,5,6,7,10,13,14]]; G[6157]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 6158: autom. group order 2, simple, residual B[6158]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,12,13,14],[1,3,5,9,10,12,14],[1,3,7,9,11,13,14],[1,4,5,11,12,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,11,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,9,12,13],[2,4,6,8,9,11,14],[2,4,7,9,10,11,14],[2,5,6,9,11,12,13],[2,5,7,8,10,12,14],[3,4,5,6,8,11,14],[3,4,6,8,10,12,13],[3,4,7,8,9,12,13],[3,5,6,9,10,11,13],[3,5,7,8,11,12,14],[4,5,6,7,10,13,14]]; G[6158]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 6159: autom. group order 2, simple, residual B[6159]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,10,13,14],[1,3,5,9,11,12,14],[1,3,7,9,12,13,14],[1,4,5,10,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,11,12,13],[1,5,6,7,8,9,11],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,7,9,10,14],[2,4,6,8,9,12,14],[2,4,7,8,11,12,14],[2,5,6,9,11,12,13],[2,5,7,9,10,12,13],[3,4,5,6,8,12,13],[3,4,6,9,10,11,13],[3,4,7,8,9,10,13],[3,5,6,8,10,12,14],[3,5,7,8,10,11,14],[4,5,6,7,11,13,14]]; G[6159]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 6160: autom. group order 2, simple, residual B[6160]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,12,13,14],[1,3,5,9,10,12,14],[1,3,7,9,11,13,14],[1,4,5,11,12,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,11,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,9,11,14],[2,4,6,8,9,11,14],[2,4,7,8,10,12,14],[2,5,6,9,11,12,13],[2,5,7,9,10,12,13],[3,4,5,6,8,12,13],[3,4,6,9,10,11,13],[3,4,7,8,9,12,13],[3,5,6,8,10,11,14],[3,5,7,8,11,12,14],[4,5,6,7,10,13,14]]; G[6160]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 6161: autom. group order 2, simple, residual B[6161]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,12,13,14],[1,3,5,9,10,12,14],[1,3,7,9,11,13,14],[1,4,5,11,12,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,11,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,9,12,13],[2,4,6,8,9,11,14],[2,4,7,8,10,12,14],[2,5,6,9,11,12,13],[2,5,7,9,10,11,14],[3,4,5,6,8,11,14],[3,4,6,9,10,11,13],[3,4,7,8,9,12,13],[3,5,6,8,10,12,13],[3,5,7,8,11,12,14],[4,5,6,7,10,13,14]]; G[6161]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 6162: autom. group order 2, simple, residual B[6162]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,10,13,14],[1,3,5,9,11,12,14],[1,3,7,9,12,13,14],[1,4,5,10,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,11,12,13],[1,5,6,7,8,9,11],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,7,8,12,14],[2,4,6,8,9,12,14],[2,4,7,9,10,11,14],[2,5,6,9,11,12,13],[2,5,7,9,10,12,13],[3,4,5,6,9,10,13],[3,4,6,8,11,12,13],[3,4,7,8,9,10,13],[3,5,6,8,10,12,14],[3,5,7,8,10,11,14],[4,5,6,7,11,13,14]]; G[6162]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 6163: autom. group order 2, simple, residual B[6163]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,12,13,14],[1,3,5,9,10,12,14],[1,3,7,9,11,13,14],[1,4,5,11,12,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,11,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,8,12,14],[2,4,6,8,9,11,14],[2,4,7,9,10,11,14],[2,5,6,9,11,12,13],[2,5,7,9,10,12,13],[3,4,5,6,9,11,13],[3,4,6,8,10,12,13],[3,4,7,8,9,12,13],[3,5,6,8,10,11,14],[3,5,7,8,11,12,14],[4,5,6,7,10,13,14]]; G[6163]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 6164: autom. group order 2, simple, residual B[6164]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,12,13,14],[1,3,5,9,10,12,14],[1,3,7,9,11,13,14],[1,4,5,11,12,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,11,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,8,12,14],[2,4,6,8,9,11,14],[2,4,7,9,10,12,13],[2,5,6,9,11,12,13],[2,5,7,9,10,11,14],[3,4,5,6,9,11,13],[3,4,6,8,10,11,14],[3,4,7,8,9,12,13],[3,5,6,8,10,12,13],[3,5,7,8,11,12,14],[4,5,6,7,10,13,14]]; G[6164]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 6165: autom. group order 2, simple, residual B[6165]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,10,13,14],[1,3,5,9,11,12,14],[1,3,7,9,12,13,14],[1,4,5,10,12,13,14],[1,4,6,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,7,8,9,11],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,7,9,10,14],[2,4,6,9,11,12,13],[2,4,7,8,9,12,13],[2,5,6,9,10,12,14],[2,5,7,8,11,12,14],[3,4,5,6,8,12,13],[3,4,6,8,9,10,14],[3,4,7,8,10,11,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,7,11,13,14]]; G[6165]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 6166: autom. group order 2, simple, residual B[6166]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,12,13,14],[1,3,5,9,10,12,14],[1,3,7,9,11,13,14],[1,4,5,11,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,12,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,9,11,14],[2,4,6,9,10,11,13],[2,4,7,8,9,12,13],[2,5,6,9,10,12,14],[2,5,7,8,11,12,14],[3,4,5,6,8,12,13],[3,4,6,8,9,11,14],[3,4,7,8,10,12,14],[3,5,6,9,11,12,13],[3,5,7,8,10,11,13],[4,5,6,7,10,13,14]]; G[6166]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 6167: autom. group order 2, simple, residual B[6167]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,12,13,14],[1,3,5,9,10,12,14],[1,3,7,9,11,13,14],[1,4,5,11,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,12,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,9,11,14],[2,4,6,9,10,12,14],[2,4,7,8,9,12,13],[2,5,6,9,10,11,13],[2,5,7,8,11,12,14],[3,4,5,6,8,12,13],[3,4,6,8,9,11,14],[3,4,7,8,10,11,13],[3,5,6,9,11,12,13],[3,5,7,8,10,12,14],[4,5,6,7,10,13,14]]; G[6167]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 6168: autom. group order 2, simple, residual B[6168]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,10,13,14],[1,3,5,9,11,12,14],[1,3,7,9,12,13,14],[1,4,5,10,12,13,14],[1,4,6,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,7,8,9,11],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,7,8,12,14],[2,4,6,9,11,12,13],[2,4,7,8,9,12,13],[2,5,6,9,10,12,14],[2,5,7,9,10,11,14],[3,4,5,6,9,10,13],[3,4,6,8,9,10,14],[3,4,7,8,10,11,14],[3,5,6,8,11,12,13],[3,5,7,8,10,12,13],[4,5,6,7,11,13,14]]; G[6168]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 6169: autom. group order 2, simple, residual B[6169]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,12,13,14],[1,3,5,9,10,12,14],[1,3,7,9,11,13,14],[1,4,5,11,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,12,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,8,12,14],[2,4,6,9,10,12,13],[2,4,7,8,9,11,13],[2,5,6,9,10,11,14],[2,5,7,9,11,12,14],[3,4,5,6,9,11,13],[3,4,6,8,9,12,14],[3,4,7,8,10,11,14],[3,5,6,8,11,12,13],[3,5,7,8,10,12,13],[4,5,6,7,10,13,14]]; G[6169]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 6170: autom. group order 2, simple, residual B[6170]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,12,13,14],[1,3,5,9,10,12,14],[1,3,7,9,11,13,14],[1,4,5,11,12,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,11,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,8,11,14],[2,4,6,9,10,11,14],[2,4,7,8,9,12,13],[2,5,6,9,11,12,13],[2,5,7,9,10,12,14],[3,4,5,6,9,12,13],[3,4,6,8,9,11,14],[3,4,7,8,10,12,13],[3,5,6,8,10,11,13],[3,5,7,8,11,12,14],[4,5,6,7,10,13,14]]; G[6170]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 6171: autom. group order 2, simple, residual B[6171]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,11,12,14],[1,3,5,9,11,13,14],[1,3,7,9,11,12,14],[1,4,5,8,9,10,12],[1,4,6,8,10,13,14],[1,4,7,9,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,7,12,13,14],[2,4,6,9,10,11,14],[2,4,7,9,11,12,13],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,6,12,13,14],[3,4,6,8,11,12,13],[3,4,7,8,10,11,14],[3,5,6,9,10,12,14],[3,5,7,8,10,11,13],[4,5,6,7,8,9,11]]; G[6171]:=Group([(2,3)(6,7)(8,9)]); # Design 6172: autom. group order 2, simple, residual B[6172]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,11,12,14],[1,3,5,9,11,13,14],[1,3,7,9,11,12,14],[1,4,5,8,9,10,12],[1,4,6,8,10,13,14],[1,4,7,9,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,7,12,13,14],[2,4,6,9,10,11,14],[2,4,7,9,11,12,13],[2,5,6,9,10,12,14],[2,5,7,8,10,11,13],[3,4,5,6,12,13,14],[3,4,6,8,11,12,13],[3,4,7,8,10,11,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,14],[4,5,6,7,8,9,11]]; G[6172]:=Group([(2,3)(6,7)(8,9)]); # Design 6173: autom. group order 2, simple, residual B[6173]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,11,12,14],[1,3,5,9,11,13,14],[1,3,7,9,11,12,14],[1,4,5,8,9,10,12],[1,4,6,8,10,13,14],[1,4,7,9,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,7,12,13,14],[2,4,6,9,11,12,13],[2,4,7,9,10,11,14],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,6,12,13,14],[3,4,6,8,10,11,14],[3,4,7,8,11,12,13],[3,5,6,9,10,12,14],[3,5,7,8,10,11,13],[4,5,6,7,8,9,11]]; G[6173]:=Group([(2,3)(6,7)(8,9)]); # Design 6174: autom. group order 2, simple, residual B[6174]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,11,12,14],[1,3,5,9,11,13,14],[1,3,7,9,11,12,14],[1,4,5,8,9,10,12],[1,4,6,8,10,13,14],[1,4,7,9,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,7,12,13,14],[2,4,6,9,11,12,13],[2,4,7,9,10,11,14],[2,5,6,9,10,12,14],[2,5,7,8,10,11,13],[3,4,5,6,12,13,14],[3,4,6,8,10,11,14],[3,4,7,8,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,14],[4,5,6,7,8,9,11]]; G[6174]:=Group([(2,3)(6,7)(8,9)]); # Design 6175: autom. group order 2, simple, residual B[6175]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,11,12,14],[1,3,5,9,11,13,14],[1,3,7,9,11,12,14],[1,4,5,8,9,10,12],[1,4,6,8,10,13,14],[1,4,7,9,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,7,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,11,12,13],[2,5,6,9,10,11,13],[2,5,7,9,10,12,14],[3,4,5,6,12,13,14],[3,4,6,9,11,12,13],[3,4,7,8,10,11,14],[3,5,6,8,10,12,14],[3,5,7,8,10,11,13],[4,5,6,7,8,9,11]]; G[6175]:=Group([(2,3)(6,7)(8,9)]); # Design 6176: autom. group order 2, simple, residual B[6176]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,11,12,14],[1,3,5,9,11,13,14],[1,3,7,9,11,12,14],[1,4,5,8,9,10,12],[1,4,6,8,10,13,14],[1,4,7,9,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,7,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,11,12,13],[2,5,6,9,10,12,14],[2,5,7,9,10,11,13],[3,4,5,6,12,13,14],[3,4,6,9,11,12,13],[3,4,7,8,10,11,14],[3,5,6,8,10,11,13],[3,5,7,8,10,12,14],[4,5,6,7,8,9,11]]; G[6176]:=Group([(2,3)(6,7)(8,9)]); # Design 6177: autom. group order 2, simple, residual B[6177]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,11,12,14],[1,3,5,9,11,13,14],[1,3,7,9,11,12,14],[1,4,5,8,9,10,12],[1,4,6,8,10,13,14],[1,4,7,9,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,7,12,13,14],[2,4,6,9,11,12,13],[2,4,7,8,10,11,14],[2,5,6,9,10,11,13],[2,5,7,9,10,12,14],[3,4,5,6,12,13,14],[3,4,6,9,10,11,14],[3,4,7,8,11,12,13],[3,5,6,8,10,12,14],[3,5,7,8,10,11,13],[4,5,6,7,8,9,11]]; G[6177]:=Group([(2,3)(6,7)(8,9)]); # Design 6178: autom. group order 2, simple, residual B[6178]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,11,12,14],[1,3,5,9,11,13,14],[1,3,7,9,11,12,14],[1,4,5,8,9,10,12],[1,4,6,8,10,13,14],[1,4,7,9,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,7,12,13,14],[2,4,6,9,11,12,13],[2,4,7,8,10,11,14],[2,5,6,9,10,12,14],[2,5,7,9,10,11,13],[3,4,5,6,12,13,14],[3,4,6,9,10,11,14],[3,4,7,8,11,12,13],[3,5,6,8,10,11,13],[3,5,7,8,10,12,14],[4,5,6,7,8,9,11]]; G[6178]:=Group([(2,3)(6,7)(8,9)]); # Design 6179: autom. group order 2, simple B[6179]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,10,14],[1,3,5,9,11,12,14],[1,3,7,8,9,12,13],[1,4,5,10,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,11,12,14],[1,5,6,7,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,7,9,10,14],[2,4,6,9,11,12,13],[2,4,7,9,12,13,14],[2,5,6,8,11,12,14],[2,5,7,8,10,12,13],[3,4,5,6,8,12,13],[3,4,6,8,10,13,14],[3,4,7,8,10,11,14],[3,5,6,9,10,12,14],[3,5,7,9,10,11,13],[4,5,6,7,8,9,11]]; G[6179]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 6180: autom. group order 2, simple B[6180]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,10,14],[1,3,5,9,11,12,14],[1,3,7,8,9,12,13],[1,4,5,10,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,11,12,14],[1,5,6,7,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,7,9,12,13],[2,4,6,9,11,12,14],[2,4,7,9,10,13,14],[2,5,6,8,11,12,13],[2,5,7,8,10,12,14],[3,4,5,6,8,10,14],[3,4,6,8,12,13,14],[3,4,7,8,10,11,13],[3,5,6,9,10,12,13],[3,5,7,9,10,11,14],[4,5,6,7,8,9,11]]; G[6180]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 6181: autom. group order 2, simple B[6181]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,12,13],[1,3,5,9,10,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,12,14],[1,5,6,7,10,13,14],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,9,11,14],[2,4,6,9,10,12,14],[2,4,7,8,12,13,14],[2,5,6,8,10,11,14],[2,5,7,9,11,12,13],[3,4,5,6,8,12,13],[3,4,6,9,11,13,14],[3,4,7,8,10,11,13],[3,5,6,8,11,12,14],[3,5,7,9,10,12,13],[4,5,6,7,8,9,10]]; G[6181]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 6182: autom. group order 2, simple B[6182]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,12,13],[1,3,5,9,10,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,10,12,13],[1,5,6,7,10,13,14],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,9,11,13],[2,4,6,9,12,13,14],[2,4,7,8,10,12,14],[2,5,6,8,10,11,14],[2,5,7,9,11,12,14],[3,4,5,6,8,12,14],[3,4,6,9,10,11,13],[3,4,7,8,11,13,14],[3,5,6,8,11,12,13],[3,5,7,9,10,12,13],[4,5,6,7,8,9,10]]; G[6182]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 6183: autom. group order 2, simple B[6183]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,10,14],[1,3,5,9,11,12,14],[1,3,7,8,9,12,13],[1,4,5,10,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,11,12,14],[1,5,6,7,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,7,9,10,14],[2,4,6,8,11,12,14],[2,4,7,9,12,13,14],[2,5,6,9,11,12,13],[2,5,7,8,10,12,13],[3,4,5,6,8,12,13],[3,4,6,8,10,13,14],[3,4,7,9,10,11,13],[3,5,6,9,10,12,14],[3,5,7,8,10,11,14],[4,5,6,7,8,9,11]]; G[6183]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 6184: autom. group order 2, simple B[6184]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,10,14],[1,3,5,9,11,12,14],[1,3,7,8,9,12,13],[1,4,5,10,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,11,12,13],[1,5,6,7,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,7,9,10,13],[2,4,6,8,12,13,14],[2,4,7,9,11,12,14],[2,5,6,9,11,12,13],[2,5,7,8,10,12,14],[3,4,5,6,8,12,14],[3,4,6,8,10,11,13],[3,4,7,9,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,11,14],[4,5,6,7,8,9,11]]; G[6184]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 6185: autom. group order 2, simple B[6185]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,10,14],[1,3,5,9,11,12,14],[1,3,7,8,9,12,13],[1,4,5,10,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,11,12,14],[1,5,6,7,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,7,9,12,13],[2,4,6,8,11,12,13],[2,4,7,9,10,13,14],[2,5,6,9,11,12,14],[2,5,7,8,10,12,14],[3,4,5,6,8,10,14],[3,4,6,8,12,13,14],[3,4,7,9,10,11,14],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,7,8,9,11]]; G[6185]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 6186: autom. group order 2, simple B[6186]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,10,14],[1,3,5,9,11,12,14],[1,3,7,8,9,12,13],[1,4,5,10,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,11,12,13],[1,5,6,7,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,7,9,12,14],[2,4,6,8,12,13,14],[2,4,7,9,10,11,13],[2,5,6,9,11,12,13],[2,5,7,8,10,12,14],[3,4,5,6,8,10,13],[3,4,6,8,11,12,14],[3,4,7,9,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,11,14],[4,5,6,7,8,9,11]]; G[6186]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 6187: autom. group order 2, simple B[6187]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,10,14],[1,3,5,9,11,12,14],[1,3,7,8,9,12,13],[1,4,5,10,12,13,14],[1,4,6,9,11,12,14],[1,4,7,8,10,11,13],[1,5,6,7,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,7,9,10,14],[2,4,6,8,12,13,14],[2,4,7,9,11,12,13],[2,5,6,9,10,12,13],[2,5,7,8,11,12,14],[3,4,5,6,8,12,13],[3,4,6,8,10,11,14],[3,4,7,9,10,13,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,14],[4,5,6,7,8,9,11]]; G[6187]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 6188: autom. group order 2, simple B[6188]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,10,14],[1,3,5,9,11,12,14],[1,3,7,8,9,12,13],[1,4,5,10,12,13,14],[1,4,6,9,11,12,13],[1,4,7,8,10,11,14],[1,5,6,7,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,7,9,12,14],[2,4,6,8,11,12,14],[2,4,7,9,10,13,14],[2,5,6,9,10,12,13],[2,5,7,8,11,12,13],[3,4,5,6,8,10,13],[3,4,6,8,12,13,14],[3,4,7,9,10,11,13],[3,5,6,9,10,11,14],[3,5,7,8,10,12,14],[4,5,6,7,8,9,11]]; G[6188]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 6189: autom. group order 2, simple B[6189]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,10,14],[1,3,5,9,11,12,14],[1,3,7,8,9,12,13],[1,4,5,10,12,13,14],[1,4,6,9,11,12,14],[1,4,7,8,10,11,13],[1,5,6,7,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,7,9,12,13],[2,4,6,8,12,13,14],[2,4,7,9,10,11,14],[2,5,6,9,10,12,13],[2,5,7,8,11,12,14],[3,4,5,6,8,10,14],[3,4,6,8,11,12,13],[3,4,7,9,10,13,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,14],[4,5,6,7,8,9,11]]; G[6189]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 6190: autom. group order 2, simple B[6190]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,10,13],[1,3,5,9,11,12,14],[1,3,7,8,9,12,14],[1,4,5,10,12,13,14],[1,4,6,9,11,12,13],[1,4,7,8,10,11,14],[1,5,6,7,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,7,9,10,14],[2,4,6,8,11,12,14],[2,4,7,8,12,13,14],[2,5,6,9,10,12,14],[2,5,7,9,11,12,13],[3,4,5,6,8,12,13],[3,4,6,9,10,13,14],[3,4,7,9,10,11,13],[3,5,6,8,10,11,14],[3,5,7,8,10,12,13],[4,5,6,7,8,9,11]]; G[6190]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 6191: autom. group order 2, simple B[6191]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,10,14],[1,3,5,9,11,12,14],[1,3,7,8,9,12,13],[1,4,5,10,12,13,14],[1,4,6,9,11,12,14],[1,4,7,8,10,11,13],[1,5,6,7,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,7,9,10,14],[2,4,6,8,12,13,14],[2,4,7,8,11,12,14],[2,5,6,9,10,12,13],[2,5,7,9,11,12,13],[3,4,5,6,8,12,13],[3,4,6,9,10,11,13],[3,4,7,9,10,13,14],[3,5,6,8,10,11,14],[3,5,7,8,10,12,14],[4,5,6,7,8,9,11]]; G[6191]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 6192: autom. group order 2, simple B[6192]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,10,13],[1,3,5,9,11,12,14],[1,3,7,8,9,12,14],[1,4,5,10,12,13,14],[1,4,6,9,11,12,13],[1,4,7,8,10,11,14],[1,5,6,7,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,7,9,12,13],[2,4,6,8,11,12,14],[2,4,7,8,12,13,14],[2,5,6,9,10,12,14],[2,5,7,9,10,11,14],[3,4,5,6,8,10,14],[3,4,6,9,10,13,14],[3,4,7,9,10,11,13],[3,5,6,8,11,12,13],[3,5,7,8,10,12,13],[4,5,6,7,8,9,11]]; G[6192]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 6193: autom. group order 2, simple B[6193]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,10,14],[1,3,5,9,11,12,14],[1,3,7,8,9,12,13],[1,4,5,10,12,13,14],[1,4,6,9,11,12,14],[1,4,7,8,10,11,13],[1,5,6,7,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,7,9,12,13],[2,4,6,8,12,13,14],[2,4,7,8,11,12,14],[2,5,6,9,10,12,13],[2,5,7,9,10,11,14],[3,4,5,6,8,10,14],[3,4,6,9,10,11,13],[3,4,7,9,10,13,14],[3,5,6,8,11,12,13],[3,5,7,8,10,12,14],[4,5,6,7,8,9,11]]; G[6193]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 6194: autom. group order 2, simple B[6194]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,12,13],[1,3,5,9,10,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,12,14],[1,5,6,7,10,13,14],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,9,11,14],[2,4,6,8,10,11,14],[2,4,7,8,12,13,14],[2,5,6,9,10,12,14],[2,5,7,9,11,12,13],[3,4,5,6,8,12,13],[3,4,6,9,11,13,14],[3,4,7,9,10,12,13],[3,5,6,8,11,12,14],[3,5,7,8,10,11,13],[4,5,6,7,8,9,10]]; G[6194]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 6195: autom. group order 2, simple B[6195]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,12,13],[1,3,5,9,10,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,12,14],[1,5,6,7,10,13,14],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,9,12,13],[2,4,6,8,10,12,14],[2,4,7,8,11,13,14],[2,5,6,9,10,11,14],[2,5,7,9,11,12,14],[3,4,5,6,8,11,14],[3,4,6,9,12,13,14],[3,4,7,9,10,11,13],[3,5,6,8,11,12,13],[3,5,7,8,10,12,13],[4,5,6,7,8,9,10]]; G[6195]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 6196: autom. group order 2, simple B[6196]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,12,14],[1,3,5,9,10,12,14],[1,3,7,8,9,11,13],[1,4,5,11,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,12,14],[1,5,6,7,10,13,14],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,8,12,13],[2,4,6,9,10,12,13],[2,4,7,9,11,13,14],[2,5,6,8,10,11,14],[2,5,7,9,11,12,14],[3,4,5,6,9,11,14],[3,4,6,8,12,13,14],[3,4,7,8,10,11,14],[3,5,6,8,11,12,13],[3,5,7,9,10,12,13],[4,5,6,7,8,9,10]]; G[6196]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 6197: autom. group order 2, simple B[6197]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,12,13],[1,3,5,9,10,12,14],[1,3,7,8,9,11,14],[1,4,5,11,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,10,12,13],[1,5,6,7,10,13,14],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,8,11,14],[2,4,6,9,11,13,14],[2,4,7,9,10,12,14],[2,5,6,8,10,12,14],[2,5,7,9,11,12,13],[3,4,5,6,9,12,13],[3,4,6,8,10,11,13],[3,4,7,8,12,13,14],[3,5,6,8,11,12,14],[3,5,7,9,10,11,13],[4,5,6,7,8,9,10]]; G[6197]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 6198: autom. group order 2, simple B[6198]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,10,14],[1,3,5,9,11,12,14],[1,3,7,8,9,12,13],[1,4,5,10,12,13,14],[1,4,6,9,11,12,13],[1,4,7,8,10,11,14],[1,5,6,7,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,7,8,12,13],[2,4,6,8,11,12,14],[2,4,7,9,10,13,14],[2,5,6,9,10,12,13],[2,5,7,9,11,12,14],[3,4,5,6,9,10,14],[3,4,6,8,12,13,14],[3,4,7,9,10,11,13],[3,5,6,8,10,11,13],[3,5,7,8,10,12,14],[4,5,6,7,8,9,11]]; G[6198]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 6199: autom. group order 2, simple B[6199]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,10,14],[1,3,5,9,11,12,14],[1,3,7,8,9,12,13],[1,4,5,10,12,13,14],[1,4,6,9,11,12,14],[1,4,7,8,10,11,13],[1,5,6,7,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,7,8,12,14],[2,4,6,8,12,13,14],[2,4,7,9,10,11,14],[2,5,6,9,10,12,13],[2,5,7,9,11,12,13],[3,4,5,6,9,10,13],[3,4,6,8,11,12,13],[3,4,7,9,10,13,14],[3,5,6,8,10,11,14],[3,5,7,8,10,12,14],[4,5,6,7,8,9,11]]; G[6199]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 6200: autom. group order 2, simple B[6200]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,10,14],[1,3,5,9,11,12,14],[1,3,7,8,9,12,13],[1,4,5,10,12,13,14],[1,4,6,9,11,12,14],[1,4,7,8,10,11,13],[1,5,6,7,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,7,8,12,14],[2,4,6,8,12,13,14],[2,4,7,9,11,12,13],[2,5,6,9,10,12,13],[2,5,7,9,10,11,14],[3,4,5,6,9,10,13],[3,4,6,8,10,11,14],[3,4,7,9,10,13,14],[3,5,6,8,11,12,13],[3,5,7,8,10,12,14],[4,5,6,7,8,9,11]]; G[6200]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 6201: autom. group order 2, simple B[6201]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,12,14],[1,3,5,9,10,12,14],[1,3,7,8,9,11,13],[1,4,5,11,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,12,14],[1,5,6,7,10,13,14],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,8,11,14],[2,4,6,8,10,12,13],[2,4,7,9,12,13,14],[2,5,6,9,10,11,14],[2,5,7,9,11,12,13],[3,4,5,6,9,12,13],[3,4,6,8,11,13,14],[3,4,7,9,10,11,14],[3,5,6,8,11,12,14],[3,5,7,8,10,12,13],[4,5,6,7,8,9,10]]; G[6201]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 6202: autom. group order 2, simple B[6202]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,12,14],[1,3,5,9,10,12,14],[1,3,7,8,9,11,13],[1,4,5,11,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,12,14],[1,5,6,7,10,13,14],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,8,12,13],[2,4,6,8,10,11,14],[2,4,7,9,11,13,14],[2,5,6,9,10,12,13],[2,5,7,9,11,12,14],[3,4,5,6,9,11,14],[3,4,6,8,12,13,14],[3,4,7,9,10,12,13],[3,5,6,8,11,12,13],[3,5,7,8,10,11,14],[4,5,6,7,8,9,10]]; G[6202]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 6203: autom. group order 2, simple B[6203]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,12,14],[1,3,5,9,10,12,14],[1,3,7,8,9,11,13],[1,4,5,11,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,10,12,13],[1,5,6,7,10,13,14],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,8,12,14],[2,4,6,8,11,13,14],[2,4,7,9,10,11,14],[2,5,6,9,10,12,13],[2,5,7,9,11,12,13],[3,4,5,6,9,11,13],[3,4,6,8,10,12,13],[3,4,7,9,12,13,14],[3,5,6,8,11,12,14],[3,5,7,8,10,11,14],[4,5,6,7,8,9,10]]; G[6203]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 6204: autom. group order 2, simple, residual B[6204]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,10,11,14],[1,3,5,10,12,13,14],[1,3,7,8,9,10,12],[1,4,5,9,11,12,14],[1,4,6,8,9,12,13],[1,4,7,9,11,13,14],[1,5,6,7,11,12,13],[1,6,7,8,9,10,14],[2,3,6,7,9,11,12],[2,3,8,9,12,13,14],[2,4,5,7,9,10,14],[2,4,6,8,11,12,14],[2,4,7,10,12,13,14],[2,5,6,9,10,12,13],[2,5,7,8,9,11,13],[3,4,5,6,8,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,13],[3,5,6,9,10,11,14],[3,5,7,8,11,12,14],[4,5,6,7,8,10,12]]; G[6204]:=Group([(1,10)(2,11)(5,13)(7,9)]); # Design 6205: autom. group order 2, simple B[6205]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,11],[1,2,6,8,10,13,14],[1,3,5,9,12,13,14],[1,3,7,8,10,11,13],[1,4,5,8,12,13,14],[1,4,6,9,10,12,13],[1,4,7,9,11,12,14],[1,5,6,7,10,11,12],[1,6,7,8,9,11,14],[2,3,6,9,11,12,14],[2,3,7,9,10,12,13],[2,4,5,7,11,13,14],[2,4,6,8,11,12,13],[2,4,7,8,10,12,14],[2,5,6,7,8,9,12],[2,5,9,10,11,13,14],[3,4,5,6,10,11,14],[3,4,6,8,9,11,13],[3,4,7,8,9,10,14],[3,5,6,8,10,12,14],[3,5,7,8,11,12,13],[4,5,6,7,9,10,13]]; G[6205]:=Group([(1,5)(3,9)(4,8)(6,11)(7,10)]); # Design 6206: autom. group order 2, simple B[6206]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,11],[1,2,6,8,10,13,14],[1,3,5,9,12,13,14],[1,3,7,8,10,11,13],[1,4,5,8,12,13,14],[1,4,6,9,10,12,14],[1,4,7,9,11,12,13],[1,5,6,7,10,11,12],[1,6,7,8,9,11,14],[2,3,6,9,11,12,13],[2,3,7,9,10,12,14],[2,4,5,7,11,13,14],[2,4,6,8,11,12,13],[2,4,7,8,10,12,14],[2,5,6,7,8,9,12],[2,5,9,10,11,13,14],[3,4,5,6,10,11,14],[3,4,6,8,9,11,14],[3,4,7,8,9,10,13],[3,5,6,8,10,12,13],[3,5,7,8,11,12,14],[4,5,6,7,9,10,13]]; G[6206]:=Group([(1,5)(3,9)(4,8)(6,11)(7,10)]); # Design 6207: autom. group order 2, simple B[6207]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,11],[1,2,6,8,10,13,14],[1,3,5,9,12,13,14],[1,3,7,8,10,11,13],[1,4,5,8,12,13,14],[1,4,6,9,10,12,14],[1,4,7,9,11,12,13],[1,5,6,7,10,11,12],[1,6,7,8,9,11,14],[2,3,6,9,11,12,13],[2,3,7,9,10,12,14],[2,4,5,7,11,13,14],[2,4,6,8,11,12,14],[2,4,7,8,10,12,13],[2,5,6,7,8,9,12],[2,5,9,10,11,13,14],[3,4,5,6,10,11,14],[3,4,6,8,9,11,13],[3,4,7,8,9,10,14],[3,5,6,8,10,12,13],[3,5,7,8,11,12,14],[4,5,6,7,9,10,13]]; G[6207]:=Group([(1,5)(3,9)(4,8)(6,11)(7,10)]); # Design 6208: autom. group order 2, simple B[6208]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,11],[1,2,6,8,10,13,14],[1,3,5,9,12,13,14],[1,3,7,8,10,11,13],[1,4,5,8,12,13,14],[1,4,6,9,10,12,14],[1,4,7,9,11,12,13],[1,5,6,7,10,11,12],[1,6,7,8,9,11,14],[2,3,6,9,11,12,14],[2,3,7,9,10,12,13],[2,4,5,7,11,13,14],[2,4,6,8,11,12,13],[2,4,7,8,10,12,14],[2,5,6,7,8,9,12],[2,5,9,10,11,13,14],[3,4,5,6,10,11,14],[3,4,6,8,9,11,13],[3,4,7,8,9,10,14],[3,5,6,8,10,12,13],[3,5,7,8,11,12,14],[4,5,6,7,9,10,13]]; G[6208]:=Group([(1,5)(3,9)(4,8)(6,11)(7,10)]); # Design 6209: autom. group order 2, simple B[6209]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,12,13],[1,2,6,9,11,12,14],[1,3,5,9,10,13,14],[1,3,8,9,11,13,14],[1,4,5,7,11,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,12,14],[1,5,6,7,8,9,12],[1,6,7,8,10,11,13],[2,3,6,8,12,13,14],[2,3,7,8,9,10,14],[2,4,5,8,10,11,14],[2,4,6,9,10,11,13],[2,4,7,8,9,12,13],[2,5,6,7,9,11,14],[2,5,7,10,12,13,14],[3,4,5,6,12,13,14],[3,4,6,7,8,11,14],[3,4,7,9,11,12,13],[3,5,6,8,10,11,12],[3,5,7,9,10,11,12],[4,5,6,8,9,10,13]]; G[6209]:=Group([(1,12)(2,11)(4,10)(6,9)]); # Design 6210: autom. group order 2, simple, residual B[6210]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,12,14],[1,2,6,9,11,12,13],[1,3,5,9,10,13,14],[1,3,8,9,11,13,14],[1,4,5,7,11,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,12,14],[1,5,6,7,8,9,12],[1,6,7,8,10,11,13],[2,3,6,8,12,13,14],[2,3,7,8,9,10,14],[2,4,5,8,10,11,13],[2,4,6,9,10,11,14],[2,4,7,8,9,12,13],[2,5,6,7,9,11,14],[2,5,7,10,12,13,14],[3,4,5,6,12,13,14],[3,4,6,7,8,11,14],[3,4,7,9,11,12,13],[3,5,6,8,10,11,12],[3,5,7,9,10,11,12],[4,5,6,8,9,10,13]]; G[6210]:=Group([(1,12)(2,11)(4,10)(6,9)]); # Design 6211: autom. group order 2, simple, residual B[6211]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,12,13],[1,2,6,9,11,12,14],[1,3,5,9,10,13,14],[1,3,8,9,11,13,14],[1,4,5,7,8,11,14],[1,4,6,8,9,10,12],[1,4,7,10,12,13,14],[1,5,6,7,9,12,14],[1,6,7,8,10,11,13],[2,3,6,8,12,13,14],[2,3,7,8,9,10,14],[2,4,5,10,11,13,14],[2,4,6,9,10,11,14],[2,4,7,8,9,12,13],[2,5,6,7,9,11,13],[2,5,7,8,10,12,14],[3,4,5,6,12,13,14],[3,4,6,7,8,11,14],[3,4,7,9,11,12,13],[3,5,6,8,10,11,12],[3,5,7,9,10,11,12],[4,5,6,8,9,10,13]]; G[6211]:=Group([(1,12)(2,11)(4,10)(6,9)]); # Design 6212: autom. group order 2, simple, residual B[6212]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,7,8,12,13],[1,3,5,8,9,10,13],[1,3,7,8,9,11,14],[1,4,5,7,10,12,14],[1,4,6,8,9,12,14],[1,4,9,10,11,12,13],[1,5,6,8,11,12,14],[1,6,7,9,10,11,13],[2,3,6,7,9,11,12],[2,3,8,10,12,13,14],[2,4,5,9,11,13,14],[2,4,6,8,10,11,14],[2,4,7,8,9,12,13],[2,5,6,8,9,10,11],[2,5,7,9,10,12,14],[3,4,5,6,11,12,13],[3,4,6,7,9,10,14],[3,4,7,8,11,13,14],[3,5,6,9,12,13,14],[3,5,7,8,10,11,12],[4,5,6,7,8,10,13]]; G[6212]:=Group([(2,13)(3,10)(4,9)(5,11)(8,12)]); # Design 6213: autom. group order 2, simple, residual B[6213]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,7,8,12,13],[1,3,5,8,9,10,13],[1,3,7,8,9,11,14],[1,4,5,7,10,12,14],[1,4,6,8,9,12,14],[1,4,9,10,11,12,13],[1,5,6,8,11,12,14],[1,6,7,9,10,11,13],[2,3,6,9,11,12,14],[2,3,8,10,12,13,14],[2,4,5,9,11,13,14],[2,4,6,7,8,10,11],[2,4,7,8,9,12,13],[2,5,6,8,9,10,11],[2,5,7,9,10,12,14],[3,4,5,6,11,12,13],[3,4,6,7,9,10,14],[3,4,7,8,11,13,14],[3,5,6,7,9,12,13],[3,5,7,8,10,11,12],[4,5,6,8,10,13,14]]; G[6213]:=Group([(2,13)(3,10)(4,9)(5,11)(8,12)]); # Design 6214: autom. group order 2, simple, residual B[6214]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,9,11,12],[1,3,5,9,11,13,14],[1,3,7,8,12,13,14],[1,4,5,8,9,10,14],[1,4,6,7,9,12,14],[1,4,7,8,10,12,13],[1,5,6,10,11,12,13],[1,6,8,9,10,11,14],[2,3,6,7,8,10,14],[2,3,8,9,10,11,12],[2,4,5,10,12,13,14],[2,4,6,8,11,13,14],[2,4,7,9,11,13,14],[2,5,6,8,9,12,13],[2,5,7,9,10,12,14],[3,4,5,6,11,12,14],[3,4,6,8,9,12,13],[3,4,7,9,10,11,13],[3,5,6,7,9,10,13],[3,5,7,8,11,12,14],[4,5,6,7,8,10,11]]; G[6214]:=Group([(1,13)(3,14)(5,11)(7,8)]); # Design 6215: autom. group order 2, simple B[6215]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,9,12,14],[1,3,5,9,11,13,14],[1,3,7,8,12,13,14],[1,4,5,8,9,10,14],[1,4,6,7,9,11,12],[1,4,7,8,10,12,13],[1,5,6,10,11,12,13],[1,6,8,9,10,11,14],[2,3,6,8,9,12,13],[2,3,8,9,10,11,12],[2,4,5,10,12,13,14],[2,4,6,8,11,13,14],[2,4,7,9,11,13,14],[2,5,6,7,8,10,11],[2,5,7,9,10,12,14],[3,4,5,6,11,12,14],[3,4,6,7,8,10,14],[3,4,7,9,10,11,13],[3,5,6,7,9,10,13],[3,5,7,8,11,12,14],[4,5,6,8,9,12,13]]; G[6215]:=Group([(1,13)(3,14)(5,11)(7,8)]); # Design 6216: autom. group order 2, simple, residual B[6216]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,13],[1,2,6,7,11,13,14],[1,3,5,8,11,12,14],[1,3,7,9,11,12,13],[1,4,5,9,11,13,14],[1,4,6,7,9,10,12],[1,4,8,10,12,13,14],[1,5,6,8,9,10,11],[1,6,7,8,9,12,14],[2,3,6,8,9,12,13],[2,3,7,8,9,11,14],[2,4,5,9,12,13,14],[2,4,6,8,11,12,13],[2,4,7,8,9,10,14],[2,5,6,9,10,11,12],[2,5,7,10,11,12,14],[3,4,5,6,7,12,14],[3,4,6,8,10,11,14],[3,4,7,9,10,11,13],[3,5,6,9,10,13,14],[3,5,7,8,10,12,13],[4,5,6,7,8,11,13]]; G[6216]:=Group([(1,12)(3,11)(4,10)(7,9)(8,14)]); # Design 6217: autom. group order 2, simple, residual B[6217]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,6,7,9,11,14],[1,3,5,11,12,13,14],[1,3,7,9,11,12,13],[1,4,5,8,9,12,14],[1,4,6,10,11,13,14],[1,4,7,8,9,10,11],[1,5,6,7,8,12,13],[1,6,8,9,10,12,14],[2,3,6,7,9,12,14],[2,3,8,9,10,13,14],[2,4,5,9,11,13,14],[2,4,6,8,11,12,13],[2,4,7,8,12,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,11,12],[3,4,5,6,10,12,14],[3,4,6,7,8,11,14],[3,4,7,9,10,12,13],[3,5,6,8,9,11,13],[3,5,7,8,10,11,14],[4,5,6,7,9,10,13]]; G[6217]:=Group([(1,11)(3,12)(4,10)(7,9)]); # Design 6218: autom. group order 2, simple, residual B[6218]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,7,9,10,12],[1,3,5,10,12,13,14],[1,3,7,9,11,13,14],[1,4,5,8,11,12,14],[1,4,6,9,11,12,14],[1,4,7,8,9,11,13],[1,5,6,8,9,10,13],[1,6,7,8,10,12,14],[2,3,6,7,8,11,14],[2,3,8,9,10,11,12],[2,4,5,7,12,13,14],[2,4,6,10,11,13,14],[2,4,8,9,10,13,14],[2,5,6,9,11,12,13],[2,5,7,8,9,12,14],[3,4,5,6,9,10,14],[3,4,6,7,9,12,13],[3,4,7,8,10,12,13],[3,5,6,8,11,12,13],[3,5,7,9,10,11,14],[4,5,6,7,8,10,11]]; G[6218]:=Group([(1,13)(3,14)(5,10)(7,11)]); # Design 6219: autom. group order 2, simple B[6219]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,7,10,12,14],[1,3,5,9,11,12,14],[1,3,7,8,9,10,13],[1,4,5,9,10,13,14],[1,4,6,11,12,13,14],[1,4,7,8,11,13,14],[1,5,6,8,9,11,12],[1,6,7,8,9,10,12],[2,3,6,7,9,11,14],[2,3,9,10,12,13,14],[2,4,5,7,8,12,14],[2,4,6,8,9,12,13],[2,4,8,9,10,11,14],[2,5,6,8,10,11,13],[2,5,7,9,11,12,13],[3,4,5,6,10,12,13],[3,4,6,7,9,11,13],[3,4,7,8,10,11,12],[3,5,6,8,10,11,14],[3,5,7,8,12,13,14],[4,5,6,7,9,10,14]]; G[6219]:=Group([(2,13)(3,14)(5,11)(6,8)(9,12)]); # Design 6220: autom. group order 2, simple B[6220]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,7,10,12,14],[1,3,5,9,12,13,14],[1,3,7,8,9,10,11],[1,4,5,9,10,13,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,13],[1,5,6,8,9,11,12],[1,6,7,8,9,10,14],[2,3,6,7,9,12,13],[2,3,9,10,11,12,14],[2,4,5,7,8,12,14],[2,4,6,8,9,11,14],[2,4,8,9,10,12,13],[2,5,6,8,10,11,13],[2,5,7,9,11,13,14],[3,4,5,6,10,11,14],[3,4,6,7,9,11,13],[3,4,7,8,10,13,14],[3,5,6,8,10,12,13],[3,5,7,8,11,12,14],[4,5,6,7,9,10,12]]; G[6220]:=Group([(2,11)(3,12)(5,13)(6,8)(9,14)]); # Design 6221: autom. group order 2, simple, residual B[6221]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,7,10,12,14],[1,3,5,9,11,12,14],[1,3,7,8,9,10,13],[1,4,5,9,10,13,14],[1,4,6,11,12,13,14],[1,4,7,8,11,13,14],[1,5,6,8,9,11,12],[1,6,7,8,9,10,12],[2,3,6,7,9,11,14],[2,3,8,10,11,12,13],[2,4,5,7,8,12,14],[2,4,6,8,9,12,13],[2,4,8,9,10,11,14],[2,5,6,9,10,13,14],[2,5,7,9,11,12,13],[3,4,5,6,10,12,13],[3,4,6,7,9,11,13],[3,4,7,9,10,12,14],[3,5,6,8,10,11,14],[3,5,7,8,12,13,14],[4,5,6,7,8,10,11]]; G[6221]:=Group([(2,13)(3,14)(5,11)(6,8)(9,12)]); # Design 6222: autom. group order 2, simple B[6222]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,7,10,12,14],[1,3,5,9,12,13,14],[1,3,7,8,9,10,11],[1,4,5,9,10,13,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,13],[1,5,6,8,9,11,12],[1,6,7,8,9,10,14],[2,3,6,7,9,12,13],[2,3,8,10,11,13,14],[2,4,5,7,8,12,14],[2,4,6,8,9,11,14],[2,4,8,9,10,12,13],[2,5,6,9,10,11,12],[2,5,7,9,11,13,14],[3,4,5,6,10,11,14],[3,4,6,7,9,11,13],[3,4,7,9,10,12,14],[3,5,6,8,10,12,13],[3,5,7,8,11,12,14],[4,5,6,7,8,10,13]]; G[6222]:=Group([(2,11)(3,12)(5,13)(6,8)(9,14)]); # Design 6223: autom. group order 2, simple, residual B[6223]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,6,7,8,10,11],[1,3,5,8,9,11,14],[1,3,7,8,9,12,13],[1,4,5,8,10,13,14],[1,4,6,9,11,13,14],[1,4,7,11,12,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,12],[2,3,6,7,9,13,14],[2,3,9,10,11,12,14],[2,4,5,9,10,12,13],[2,4,6,8,9,11,13],[2,4,7,8,9,12,14],[2,5,6,8,11,12,14],[2,5,7,8,10,13,14],[3,4,5,6,7,12,14],[3,4,6,8,10,12,13],[3,4,7,8,10,11,14],[3,5,6,8,11,12,13],[3,5,7,9,10,11,13],[4,5,6,7,9,10,11]]; G[6223]:=Group([(2,14)(3,13)(5,11)(7,9)(8,12)]); # Design 6224: autom. group order 2, simple B[6224]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,7,10,12,14],[1,3,5,9,12,13,14],[1,3,7,8,9,10,11],[1,4,5,9,10,13,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,13],[1,5,6,8,9,11,12],[1,6,7,8,9,10,14],[2,3,6,7,9,12,13],[2,3,9,10,11,12,14],[2,4,5,8,10,12,14],[2,4,6,8,9,11,14],[2,4,7,8,9,12,13],[2,5,6,8,10,11,13],[2,5,7,9,11,13,14],[3,4,5,6,7,11,14],[3,4,6,9,10,11,13],[3,4,7,8,10,13,14],[3,5,6,8,10,12,13],[3,5,7,8,11,12,14],[4,5,6,7,9,10,12]]; G[6224]:=Group([(2,11)(3,12)(5,13)(6,8)(9,14)]); # Design 6225: autom. group order 2, simple, residual B[6225]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,7,10,12,14],[1,3,5,9,11,12,14],[1,3,7,8,9,10,13],[1,4,5,9,10,13,14],[1,4,6,11,12,13,14],[1,4,7,8,11,13,14],[1,5,6,8,9,11,12],[1,6,7,8,9,10,12],[2,3,6,7,9,11,14],[2,3,8,10,11,12,13],[2,4,5,8,10,12,14],[2,4,6,8,9,12,13],[2,4,7,8,9,11,14],[2,5,6,9,10,13,14],[2,5,7,9,11,12,13],[3,4,5,6,7,12,13],[3,4,6,9,10,11,13],[3,4,7,9,10,12,14],[3,5,6,8,10,11,14],[3,5,7,8,12,13,14],[4,5,6,7,8,10,11]]; G[6225]:=Group([(2,13)(3,14)(5,11)(6,8)(9,12)]); # Design 6226: autom. group order 2, simple B[6226]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,7,10,12,14],[1,3,5,9,12,13,14],[1,3,7,8,9,10,11],[1,4,5,9,10,13,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,13],[1,5,6,8,9,11,12],[1,6,7,8,9,10,14],[2,3,6,7,9,12,13],[2,3,8,10,11,13,14],[2,4,5,8,10,12,14],[2,4,6,8,9,11,14],[2,4,7,8,9,12,13],[2,5,6,9,10,11,12],[2,5,7,9,11,13,14],[3,4,5,6,7,11,14],[3,4,6,9,10,11,13],[3,4,7,9,10,12,14],[3,5,6,8,10,12,13],[3,5,7,8,11,12,14],[4,5,6,7,8,10,13]]; G[6226]:=Group([(2,11)(3,12)(5,13)(6,8)(9,14)]); # Design 6227: autom. group order 2, simple, residual B[6227]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,13],[1,2,6,7,8,11,14],[1,3,5,8,9,12,14],[1,3,7,9,11,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,12,13],[1,4,7,9,10,13,14],[1,5,6,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,9,10,12,14],[2,3,7,9,11,12,13],[2,4,5,7,11,12,14],[2,4,6,8,9,11,13],[2,4,8,10,12,13,14],[2,5,6,7,9,12,13],[2,5,8,9,10,11,14],[3,4,5,6,10,11,13],[3,4,6,7,8,12,14],[3,4,7,8,9,10,11],[3,5,6,8,11,13,14],[3,5,7,8,10,12,13],[4,5,6,7,9,10,14]]; G[6227]:=Group([(2,12)(3,11)(4,10)(5,6)(7,9)]); # Design 6228: autom. group order 2, simple, residual B[6228]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,13],[1,2,6,7,8,11,14],[1,3,5,8,9,12,14],[1,3,7,9,11,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,12,13],[1,4,7,9,10,13,14],[1,5,6,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,9,10,12,14],[2,3,7,9,11,12,13],[2,4,5,7,11,12,14],[2,4,6,8,9,11,14],[2,4,8,10,12,13,14],[2,5,6,7,9,12,13],[2,5,8,9,10,11,13],[3,4,5,6,10,11,13],[3,4,6,7,8,12,13],[3,4,7,8,9,10,11],[3,5,6,8,11,13,14],[3,5,7,8,10,12,14],[4,5,6,7,9,10,14]]; G[6228]:=Group([(2,12)(3,11)(4,10)(5,6)(7,9)]); # Design 6229: autom. group order 2, simple B[6229]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,7,9,12,14],[1,3,5,10,12,13,14],[1,3,7,9,11,13,14],[1,4,5,8,11,12,14],[1,4,6,9,10,11,12],[1,4,7,8,9,11,13],[1,5,6,8,9,10,13],[1,6,7,8,10,12,14],[2,3,6,9,11,12,13],[2,3,7,8,9,10,12],[2,4,5,7,12,13,14],[2,4,6,10,11,13,14],[2,4,8,9,10,13,14],[2,5,6,7,8,10,11],[2,5,8,9,11,12,14],[3,4,5,6,9,10,14],[3,4,6,7,8,11,14],[3,4,7,8,10,12,13],[3,5,6,8,11,12,13],[3,5,7,9,10,11,14],[4,5,6,7,9,12,13]]; G[6229]:=Group([(1,13)(3,14)(5,10)(7,11)]); # Design 6230: autom. group order 2, simple B[6230]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,7,10,12,14],[1,3,5,9,12,13,14],[1,3,7,8,9,10,11],[1,4,5,9,10,13,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,13],[1,5,6,8,9,11,12],[1,6,7,8,9,10,14],[2,3,6,9,10,12,13],[2,3,7,9,11,12,14],[2,4,5,7,8,12,14],[2,4,6,8,9,11,14],[2,4,8,9,10,12,13],[2,5,6,8,10,11,13],[2,5,7,9,11,13,14],[3,4,5,6,10,11,14],[3,4,6,7,9,11,13],[3,4,7,8,10,13,14],[3,5,6,7,8,12,13],[3,5,8,10,11,12,14],[4,5,6,7,9,10,12]]; G[6230]:=Group([(2,11)(3,12)(5,13)(6,8)(9,14)]); # Design 6231: autom. group order 2, simple, residual B[6231]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,13],[1,2,6,7,8,11,14],[1,3,5,8,9,12,14],[1,3,7,9,11,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,12,13],[1,4,7,9,10,13,14],[1,5,6,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,9,10,12,13],[2,3,8,11,12,13,14],[2,4,5,7,11,12,13],[2,4,6,8,9,11,14],[2,4,7,9,10,12,14],[2,5,6,7,9,12,14],[2,5,8,9,10,11,13],[3,4,5,6,10,11,14],[3,4,6,7,8,12,13],[3,4,7,8,9,10,11],[3,5,6,7,9,11,13],[3,5,7,8,10,12,14],[4,5,6,8,10,13,14]]; G[6231]:=Group([(2,12)(3,11)(4,10)(5,6)(7,9)]); # Design 6232: autom. group order 2, simple, residual B[6232]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,6,7,8,10,11],[1,3,5,8,9,11,14],[1,3,7,8,9,12,13],[1,4,5,8,10,13,14],[1,4,6,9,11,13,14],[1,4,7,11,12,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,12],[2,3,6,9,11,12,14],[2,3,8,10,12,13,14],[2,4,5,9,10,12,13],[2,4,6,8,9,11,13],[2,4,7,8,9,12,14],[2,5,6,7,8,13,14],[2,5,7,9,10,11,14],[3,4,5,6,7,12,14],[3,4,6,7,9,10,13],[3,4,7,8,10,11,14],[3,5,6,8,11,12,13],[3,5,7,9,10,11,13],[4,5,6,8,10,11,12]]; G[6232]:=Group([(2,14)(3,13)(5,11)(7,9)(8,12)]); # Design 6233: autom. group order 2, simple B[6233]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,6,7,8,10,11],[1,3,5,8,9,11,14],[1,3,7,8,9,12,13],[1,4,5,8,10,13,14],[1,4,6,9,11,13,14],[1,4,7,11,12,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,12],[2,3,6,8,12,13,14],[2,3,9,10,11,12,14],[2,4,5,9,10,12,13],[2,4,6,8,9,11,13],[2,4,7,8,9,12,14],[2,5,6,7,9,11,14],[2,5,7,8,10,13,14],[3,4,5,6,7,12,14],[3,4,6,7,9,10,13],[3,4,7,8,10,11,14],[3,5,6,8,11,12,13],[3,5,7,9,10,11,13],[4,5,6,8,10,11,12]]; G[6233]:=Group([(2,14)(3,13)(5,11)(7,9)(8,12)]); # Design 6234: autom. group order 2, simple, residual B[6234]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,11],[1,2,6,7,9,12,13],[1,3,5,11,12,13,14],[1,3,7,9,10,13,14],[1,4,5,8,11,13,14],[1,4,6,9,10,11,14],[1,4,7,8,9,12,13],[1,5,6,8,9,10,12],[1,6,7,8,11,12,14],[2,3,6,8,9,11,13],[2,3,8,9,11,12,14],[2,4,5,9,12,13,14],[2,4,6,8,10,12,14],[2,4,7,10,11,12,13],[2,5,6,7,9,11,14],[2,5,7,8,10,13,14],[3,4,5,6,7,12,14],[3,4,6,7,8,11,13],[3,4,7,8,9,10,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,12],[4,5,6,9,10,11,13]]; G[6234]:=Group([(1,13)(2,6)(4,8)(5,11)(7,9)]); # Design 6235: autom. group order 2, simple, residual B[6235]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,9,12,14],[1,3,5,10,11,13,14],[1,3,7,9,12,13,14],[1,4,5,8,11,12,14],[1,4,6,9,10,11,13],[1,4,7,8,9,10,14],[1,5,6,8,9,12,13],[1,6,7,8,10,11,12],[2,3,6,8,9,11,14],[2,3,8,9,11,12,13],[2,4,5,9,10,12,14],[2,4,6,8,10,12,13],[2,4,7,11,12,13,14],[2,5,6,7,9,10,11],[2,5,7,8,10,13,14],[3,4,5,6,7,12,13],[3,4,6,7,8,11,14],[3,4,7,8,9,10,13],[3,5,6,8,10,12,14],[3,5,7,9,10,11,12],[4,5,6,9,11,13,14]]; G[6235]:=Group([(1,14)(2,6)(4,8)(5,11)(7,9)]); # Design 6236: autom. group order 2, simple, residual B[6236]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,9,12,14],[1,3,5,10,11,13,14],[1,3,7,9,12,13,14],[1,4,5,8,11,12,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,14],[1,5,6,8,9,10,12],[1,6,7,8,10,11,13],[2,3,6,8,9,11,14],[2,3,8,9,11,12,13],[2,4,5,9,10,13,14],[2,4,6,8,10,12,13],[2,4,7,10,11,12,14],[2,5,6,7,9,10,11],[2,5,7,8,12,13,14],[3,4,5,6,7,12,13],[3,4,6,7,8,11,14],[3,4,7,8,9,10,13],[3,5,6,8,10,12,14],[3,5,7,9,10,11,12],[4,5,6,9,11,13,14]]; G[6236]:=Group([(1,14)(2,6)(4,8)(5,11)(7,9)]); # Design 6237: autom. group order 2, simple, residual B[6237]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,9,12,14],[1,3,5,10,11,13,14],[1,3,7,9,12,13,14],[1,4,5,8,11,12,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,14],[1,5,6,8,9,10,13],[1,6,7,8,10,11,12],[2,3,6,8,9,11,14],[2,3,8,9,11,12,13],[2,4,5,9,10,12,14],[2,4,6,8,10,12,13],[2,4,7,10,11,13,14],[2,5,6,7,9,10,11],[2,5,7,8,12,13,14],[3,4,5,6,7,12,13],[3,4,6,7,8,11,14],[3,4,7,8,9,10,13],[3,5,6,8,10,12,14],[3,5,7,9,10,11,12],[4,5,6,9,11,13,14]]; G[6237]:=Group([(1,14)(2,6)(4,8)(5,11)(7,9)]); # Design 6238: autom. group order 2, simple, residual B[6238]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,9,12,14],[1,3,5,11,12,13,14],[1,3,7,9,10,13,14],[1,4,5,8,10,11,14],[1,4,6,9,10,11,12],[1,4,7,8,9,12,14],[1,5,6,8,9,10,13],[1,6,7,8,11,12,13],[2,3,6,8,9,11,14],[2,3,8,9,11,12,13],[2,4,5,9,12,13,14],[2,4,6,8,10,12,13],[2,4,7,10,11,13,14],[2,5,6,7,9,10,11],[2,5,7,8,10,12,14],[3,4,5,6,7,12,13],[3,4,6,7,8,11,14],[3,4,7,8,9,10,13],[3,5,6,8,10,12,14],[3,5,7,9,10,11,12],[4,5,6,9,11,13,14]]; G[6238]:=Group([(1,14)(2,6)(4,8)(5,11)(7,9)]); # Design 6239: autom. group order 2, simple, residual B[6239]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,9,12,14],[1,3,5,11,12,13,14],[1,3,7,9,10,13,14],[1,4,5,8,10,11,14],[1,4,6,9,10,11,13],[1,4,7,8,9,12,14],[1,5,6,8,9,10,12],[1,6,7,8,11,12,13],[2,3,6,8,9,11,14],[2,3,8,9,11,12,13],[2,4,5,9,12,13,14],[2,4,6,8,10,12,13],[2,4,7,10,11,12,14],[2,5,6,7,9,10,11],[2,5,7,8,10,13,14],[3,4,5,6,7,12,13],[3,4,6,7,8,11,14],[3,4,7,8,9,10,13],[3,5,6,8,10,12,14],[3,5,7,9,10,11,12],[4,5,6,9,11,13,14]]; G[6239]:=Group([(1,14)(2,6)(4,8)(5,11)(7,9)]); # Design 6240: autom. group order 2, simple, residual B[6240]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,9,12,14],[1,3,5,11,12,13,14],[1,3,7,9,10,13,14],[1,4,5,8,10,11,14],[1,4,6,9,10,11,13],[1,4,7,8,9,12,14],[1,5,6,8,9,12,13],[1,6,7,8,10,11,12],[2,3,6,8,9,11,14],[2,3,8,9,11,12,13],[2,4,5,9,10,12,14],[2,4,6,8,10,12,13],[2,4,7,11,12,13,14],[2,5,6,7,9,10,11],[2,5,7,8,10,13,14],[3,4,5,6,7,12,13],[3,4,6,7,8,11,14],[3,4,7,8,9,10,13],[3,5,6,8,10,12,14],[3,5,7,9,10,11,12],[4,5,6,9,11,13,14]]; G[6240]:=Group([(1,14)(2,6)(4,8)(5,11)(7,9)]); # Design 6241: autom. group order 2, simple, residual B[6241]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,9,12,14],[1,3,5,11,12,13,14],[1,3,7,9,10,13,14],[1,4,5,8,10,11,14],[1,4,6,9,11,12,13],[1,4,7,8,9,12,14],[1,5,6,8,9,10,13],[1,6,7,8,10,11,12],[2,3,6,8,9,11,14],[2,3,8,9,11,12,13],[2,4,5,9,10,12,14],[2,4,6,8,10,12,13],[2,4,7,10,11,13,14],[2,5,6,7,9,10,11],[2,5,7,8,12,13,14],[3,4,5,6,7,12,13],[3,4,6,7,8,11,14],[3,4,7,8,9,10,13],[3,5,6,8,10,12,14],[3,5,7,9,10,11,12],[4,5,6,9,11,13,14]]; G[6241]:=Group([(1,14)(2,6)(4,8)(5,11)(7,9)]); # Design 6242: autom. group order 2, simple, residual B[6242]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,9,10,11],[1,3,5,9,11,12,14],[1,3,7,8,9,12,14],[1,4,5,9,10,13,14],[1,4,6,8,11,13,14],[1,4,7,11,12,13,14],[1,5,6,8,10,12,13],[1,6,7,8,9,10,12],[2,3,6,9,12,13,14],[2,3,8,10,11,12,13],[2,4,5,8,10,12,14],[2,4,6,8,9,11,14],[2,4,7,8,9,12,13],[2,5,6,7,11,12,14],[2,5,7,9,10,13,14],[3,4,5,6,7,12,13],[3,4,6,7,8,10,14],[3,4,7,9,10,11,13],[3,5,6,8,9,11,13],[3,5,7,8,10,11,14],[4,5,6,9,10,11,12]]; G[6242]:=Group([(2,13)(3,14)(5,11)(7,8)(9,12)]); # Design 6243: autom. group order 2, simple, residual B[6243]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,13],[1,2,6,7,11,13,14],[1,3,5,8,11,12,14],[1,3,9,10,12,13,14],[1,4,5,9,11,13,14],[1,4,6,7,9,10,12],[1,4,7,8,11,12,13],[1,5,6,8,9,10,11],[1,6,7,8,9,12,14],[2,3,6,8,9,12,13],[2,3,7,8,9,11,14],[2,4,5,9,12,13,14],[2,4,6,8,11,12,13],[2,4,7,8,9,10,14],[2,5,6,9,10,11,12],[2,5,7,10,11,12,14],[3,4,5,6,7,12,14],[3,4,6,8,10,11,14],[3,4,7,9,10,11,13],[3,5,6,7,9,11,13],[3,5,7,8,10,12,13],[4,5,6,8,10,13,14]]; G[6243]:=Group([(1,12)(3,11)(4,10)(7,9)(8,14)]); # Design 6244: autom. group order 2, simple, residual B[6244]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,6,8,10,11,14],[1,3,5,7,9,11,14],[1,3,7,8,9,10,13],[1,4,5,8,12,13,14],[1,4,6,8,9,11,12],[1,4,7,10,12,13,14],[1,5,6,9,11,13,14],[1,6,7,8,9,10,12],[2,3,6,9,12,13,14],[2,3,7,8,9,12,14],[2,4,5,9,10,12,14],[2,4,6,7,8,11,14],[2,4,7,9,10,11,13],[2,5,6,7,8,12,13],[2,5,8,9,10,11,13],[3,4,5,6,8,10,13],[3,4,6,9,11,12,13],[3,4,7,8,11,13,14],[3,5,6,7,10,11,12],[3,5,8,10,11,12,14],[4,5,6,7,9,10,14]]; G[6244]:=Group([(1,11)(2,12)(4,10)(9,14)]); # Design 6245: autom. group order 2, simple, residual B[6245]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,6,8,9,10,11],[1,3,5,7,8,11,14],[1,3,7,9,10,13,14],[1,4,5,9,12,13,14],[1,4,6,9,11,12,14],[1,4,7,8,10,12,13],[1,5,6,8,11,13,14],[1,6,7,8,9,10,12],[2,3,6,8,12,13,14],[2,3,7,8,9,12,14],[2,4,5,8,10,12,14],[2,4,6,7,9,11,14],[2,4,7,10,11,13,14],[2,5,6,7,9,12,13],[2,5,8,9,10,11,13],[3,4,5,6,9,10,13],[3,4,6,8,11,12,13],[3,4,7,8,9,11,13],[3,5,6,7,10,11,12],[3,5,9,10,11,12,14],[4,5,6,7,8,10,14]]; G[6245]:=Group([(1,11)(2,12)(4,10)(8,14)]); # Design 6246: autom. group order 2, simple B[6246]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,11,12,14],[1,3,5,7,12,13,14],[1,3,8,9,10,11,14],[1,4,5,9,11,12,13],[1,4,6,9,10,12,13],[1,4,7,8,10,13,14],[1,5,6,7,9,10,14],[1,6,7,8,9,11,12],[2,3,6,7,9,11,13],[2,3,8,9,12,13,14],[2,4,5,9,10,11,14],[2,4,6,7,9,12,14],[2,4,7,8,10,12,13],[2,5,6,8,9,10,13],[2,5,7,10,11,12,14],[3,4,5,6,8,12,14],[3,4,6,7,8,10,11],[3,4,7,9,11,13,14],[3,5,6,10,11,12,13],[3,5,7,8,9,10,12],[4,5,6,8,11,13,14]]; G[6246]:=Group([(1,8)(2,7)(3,10)(5,13)(6,12)(9,14)]); # Design 6247: autom. group order 2, simple, residual B[6247]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,11,13,14],[1,3,5,9,10,12,14],[1,3,7,8,11,12,13],[1,4,5,7,12,13,14],[1,4,6,7,9,10,11],[1,4,8,9,10,12,13],[1,5,6,8,9,11,14],[1,6,7,8,10,12,14],[2,3,6,7,9,12,13],[2,3,7,8,9,10,14],[2,4,5,8,10,13,14],[2,4,6,7,8,12,14],[2,4,9,11,12,13,14],[2,5,6,8,10,11,12],[2,5,7,9,10,11,12],[3,4,5,6,11,12,14],[3,4,6,8,10,11,13],[3,4,7,8,9,11,14],[3,5,6,8,9,12,13],[3,5,7,10,11,13,14],[4,5,6,7,9,10,13]]; G[6247]:=Group([(1,11)(3,12)(4,10)(6,9)]); # Design 6248: autom. group order 2, simple, residual B[6248]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,10,12],[1,3,5,10,12,13,14],[1,3,7,8,9,13,14],[1,4,5,7,9,12,14],[1,4,6,7,11,12,13],[1,4,8,9,10,11,13],[1,5,6,8,11,12,14],[1,6,7,9,10,11,14],[2,3,6,7,9,11,13],[2,3,8,9,11,12,14],[2,4,5,10,11,13,14],[2,4,6,9,12,13,14],[2,4,7,8,12,13,14],[2,5,6,7,8,10,14],[2,5,7,9,10,11,12],[3,4,5,6,9,11,14],[3,4,6,7,8,10,12],[3,4,7,8,10,11,14],[3,5,6,8,11,12,13],[3,5,7,9,10,12,13],[4,5,6,8,9,10,13]]; G[6248]:=Group([(1,14)(3,13)(5,12)(7,9)]); # Design 6249: autom. group order 2, simple B[6249]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,10,12],[1,3,5,8,12,13,14],[1,3,7,9,10,13,14],[1,4,5,7,9,12,14],[1,4,6,7,11,12,13],[1,4,8,9,10,11,13],[1,5,6,10,11,12,14],[1,6,7,8,9,11,14],[2,3,6,7,9,11,13],[2,3,8,9,11,12,14],[2,4,5,10,11,13,14],[2,4,6,9,12,13,14],[2,4,7,8,12,13,14],[2,5,6,7,8,10,14],[2,5,7,9,10,11,12],[3,4,5,6,9,11,14],[3,4,6,7,8,10,12],[3,4,7,8,10,11,14],[3,5,6,8,11,12,13],[3,5,7,9,10,12,13],[4,5,6,8,9,10,13]]; G[6249]:=Group([(1,14)(3,13)(5,12)(7,9)]); # Design 6250: autom. group order 2, simple B[6250]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,12,14],[1,3,5,9,11,13,14],[1,3,7,8,12,13,14],[1,4,5,7,9,10,14],[1,4,6,8,9,11,12],[1,4,7,8,10,12,13],[1,5,6,10,11,12,13],[1,6,7,9,10,11,14],[2,3,6,7,9,12,13],[2,3,7,9,10,11,12],[2,4,5,10,12,13,14],[2,4,6,8,11,13,14],[2,4,7,9,11,13,14],[2,5,6,7,8,10,11],[2,5,8,9,10,12,14],[3,4,5,6,11,12,14],[3,4,6,7,8,10,14],[3,4,8,9,10,11,13],[3,5,6,8,9,10,13],[3,5,7,8,11,12,14],[4,5,6,7,9,12,13]]; G[6250]:=Group([(1,13)(3,14)(5,11)(7,8)]); # Design 6251: autom. group order 2, simple, residual B[6251]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,11,12],[1,3,5,9,11,13,14],[1,3,7,8,12,13,14],[1,4,5,7,9,10,14],[1,4,6,8,9,12,14],[1,4,7,8,10,12,13],[1,5,6,10,11,12,13],[1,6,7,9,10,11,14],[2,3,6,7,8,10,14],[2,3,7,9,10,11,12],[2,4,5,10,12,13,14],[2,4,6,8,11,13,14],[2,4,7,9,11,13,14],[2,5,6,7,9,12,13],[2,5,8,9,10,12,14],[3,4,5,6,11,12,14],[3,4,6,7,9,12,13],[3,4,8,9,10,11,13],[3,5,6,8,9,10,13],[3,5,7,8,11,12,14],[4,5,6,7,8,10,11]]; G[6251]:=Group([(1,13)(3,14)(5,11)(7,8)]); # Design 6252: autom. group order 2, simple B[6252]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,12,13],[1,3,5,10,11,12,14],[1,3,7,9,11,12,13],[1,4,5,9,12,13,14],[1,4,6,7,8,10,12],[1,4,7,8,10,13,14],[1,5,6,7,9,11,14],[1,6,8,9,10,11,14],[2,3,6,7,9,12,14],[2,3,7,8,9,10,14],[2,4,5,9,10,13,14],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,6,7,10,11,13],[2,5,8,9,10,11,12],[3,4,5,6,8,11,14],[3,4,6,8,9,11,13],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[3,5,7,8,12,13,14],[4,5,6,7,9,10,12]]; G[6252]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 6253: autom. group order 2, simple, residual B[6253]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,9,10,11,12],[1,3,5,10,12,13,14],[1,3,7,9,11,13,14],[1,4,5,8,11,12,14],[1,4,6,7,9,12,14],[1,4,7,8,9,11,13],[1,5,6,8,9,10,13],[1,6,7,8,10,12,14],[2,3,6,7,8,11,14],[2,3,7,8,9,10,12],[2,4,5,7,12,13,14],[2,4,6,10,11,13,14],[2,4,8,9,10,13,14],[2,5,6,7,9,12,13],[2,5,8,9,11,12,14],[3,4,5,6,9,10,14],[3,4,6,9,11,12,13],[3,4,7,8,10,12,13],[3,5,6,8,11,12,13],[3,5,7,9,10,11,14],[4,5,6,7,8,10,11]]; G[6253]:=Group([(1,13)(3,14)(5,10)(7,11)]); # Design 6254: autom. group order 2, simple B[6254]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,9,10,11],[1,3,5,8,11,12,13],[1,3,7,8,9,12,13],[1,4,5,9,10,12,14],[1,4,6,7,9,12,13],[1,4,7,8,10,11,14],[1,5,6,10,12,13,14],[1,6,7,8,9,11,14],[2,3,6,7,9,12,14],[2,3,7,8,10,12,14],[2,4,5,7,8,13,14],[2,4,6,8,11,12,13],[2,4,9,11,12,13,14],[2,5,6,8,9,10,13],[2,5,7,9,10,11,12],[3,4,5,6,9,11,14],[3,4,6,7,10,11,13],[3,4,8,9,10,13,14],[3,5,6,8,11,12,14],[3,5,7,9,10,11,13],[4,5,6,7,8,10,12]]; G[6254]:=Group([(1,11)(3,12)(5,13)(6,9)(7,14)]); # Design 6255: autom. group order 2, simple B[6255]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,10,12,13],[1,3,5,8,11,12,14],[1,3,7,8,9,12,14],[1,4,5,9,10,12,13],[1,4,6,7,9,12,14],[1,4,7,8,10,11,13],[1,5,6,9,10,11,14],[1,6,7,8,9,11,13],[2,3,6,7,9,12,13],[2,3,7,8,9,10,11],[2,4,5,7,8,13,14],[2,4,6,8,11,12,14],[2,4,9,11,12,13,14],[2,5,6,8,9,10,14],[2,5,7,9,10,11,12],[3,4,5,6,9,11,13],[3,4,6,7,10,11,14],[3,4,8,9,10,13,14],[3,5,6,8,11,12,13],[3,5,7,10,12,13,14],[4,5,6,7,8,10,12]]; G[6255]:=Group([(1,11)(3,12)(5,14)(6,9)(7,13)]); # Design 6256: autom. group order 2, simple B[6256]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,9,10,11,12],[1,3,5,9,10,13,14],[1,3,7,11,12,13,14],[1,4,5,8,11,12,14],[1,4,6,7,9,12,14],[1,4,7,8,9,10,14],[1,5,6,8,10,12,13],[1,6,7,8,9,11,13],[2,3,6,7,8,11,14],[2,3,7,8,9,10,12],[2,4,5,7,12,13,14],[2,4,6,9,10,13,14],[2,4,8,10,11,13,14],[2,5,6,9,11,12,14],[2,5,7,8,9,12,13],[3,4,5,6,9,11,13],[3,4,6,7,10,12,13],[3,4,8,9,11,12,13],[3,5,6,8,10,12,14],[3,5,7,9,10,11,14],[4,5,6,7,8,10,11]]; G[6256]:=Group([(1,13)(3,14)(5,10)(6,8)(7,11)]); # Design 6257: autom. group order 2, simple, residual B[6257]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,9,10,11,14],[1,3,5,9,11,12,13],[1,3,7,9,10,13,14],[1,4,5,8,9,12,14],[1,4,6,7,12,13,14],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,11,12,14],[2,4,5,10,12,13,14],[2,4,6,8,11,12,13],[2,4,7,8,9,10,14],[2,5,6,7,8,9,13],[2,5,7,9,10,11,12],[3,4,5,6,7,11,14],[3,4,6,7,9,10,12],[3,4,8,9,11,13,14],[3,5,6,8,10,11,14],[3,5,7,8,10,12,13],[4,5,6,9,10,11,13]]; G[6257]:=Group([(1,6)(2,7)(3,4)(8,14)(9,11)(10,12)]); # Design 6258: autom. group order 2, simple, residual B[6258]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,9,10,12,13],[1,3,5,11,12,13,14],[1,3,7,8,9,12,14],[1,4,5,9,10,11,14],[1,4,6,7,9,12,13],[1,4,8,9,10,13,14],[1,5,6,7,8,11,12],[1,6,7,8,10,11,14],[2,3,6,8,9,10,11],[2,3,7,10,12,13,14],[2,4,5,7,8,13,14],[2,4,6,8,11,12,14],[2,4,7,9,11,12,14],[2,5,6,7,9,10,14],[2,5,8,9,11,12,13],[3,4,5,6,10,12,14],[3,4,6,7,9,11,13],[3,4,7,8,10,11,13],[3,5,6,9,11,13,14],[3,5,7,8,9,10,12],[4,5,6,8,10,12,13]]; G[6258]:=Group([(1,12)(3,11)(5,14)(6,9)]); # Design 6259: autom. group order 2, simple, residual B[6259]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,11,14],[1,3,5,9,11,12,13],[1,3,7,8,9,12,14],[1,4,5,9,10,13,14],[1,4,6,7,12,13,14],[1,4,8,11,12,13,14],[1,5,6,7,8,10,12],[1,6,7,8,9,10,11],[2,3,6,8,11,12,13],[2,3,7,8,10,13,14],[2,4,5,8,10,12,14],[2,4,6,7,9,12,13],[2,4,7,8,9,11,14],[2,5,6,9,11,12,14],[2,5,7,9,10,12,13],[3,4,5,6,7,11,14],[3,4,6,8,9,10,12],[3,4,7,9,10,11,13],[3,5,6,8,9,13,14],[3,5,7,10,11,12,14],[4,5,6,8,10,11,13]]; G[6259]:=Group([(2,14)(3,13)(5,12)(9,11)]); # Design 6260: autom. group order 2, simple B[6260]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,12,13],[1,2,6,9,11,12,14],[1,3,5,9,10,13,14],[1,3,7,9,11,13,14],[1,4,5,8,11,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,12,14],[1,5,6,7,8,9,12],[1,6,7,8,10,11,13],[2,3,6,7,12,13,14],[2,3,7,8,9,10,14],[2,4,5,7,10,11,14],[2,4,6,9,10,11,13],[2,4,7,8,9,12,13],[2,5,6,8,9,11,14],[2,5,8,10,12,13,14],[3,4,5,6,12,13,14],[3,4,6,7,8,11,14],[3,4,8,9,11,12,13],[3,5,6,8,10,11,12],[3,5,7,9,10,11,12],[4,5,6,7,9,10,13]]; G[6260]:=Group([(1,12)(2,11)(4,10)(6,9)]); # Design 6261: autom. group order 2, simple, residual B[6261]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,12,14],[1,2,6,9,11,12,13],[1,3,5,9,10,13,14],[1,3,7,9,11,13,14],[1,4,5,8,11,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,12,14],[1,5,6,7,8,9,12],[1,6,7,8,10,11,13],[2,3,6,7,12,13,14],[2,3,7,8,9,10,14],[2,4,5,7,10,11,13],[2,4,6,9,10,11,14],[2,4,7,8,9,12,13],[2,5,6,8,9,11,14],[2,5,8,10,12,13,14],[3,4,5,6,12,13,14],[3,4,6,7,8,11,14],[3,4,8,9,11,12,13],[3,5,6,8,10,11,12],[3,5,7,9,10,11,12],[4,5,6,7,9,10,13]]; G[6261]:=Group([(1,12)(2,11)(4,10)(6,9)]); # Design 6262: autom. group order 2, simple, residual B[6262]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,9,11,13],[1,3,5,8,11,12,13],[1,3,7,8,9,10,12],[1,4,5,9,12,13,14],[1,4,6,10,12,13,14],[1,4,7,8,10,11,14],[1,5,6,7,9,10,12],[1,6,7,8,9,11,14],[2,3,6,7,9,12,14],[2,3,7,8,12,13,14],[2,4,5,7,8,10,14],[2,4,6,8,9,10,13],[2,4,7,9,11,12,13],[2,5,6,8,10,11,12],[2,5,9,10,11,12,14],[3,4,5,6,9,11,14],[3,4,6,8,11,12,14],[3,4,7,9,10,11,13],[3,5,6,7,10,11,13],[3,5,8,9,10,13,14],[4,5,6,7,8,12,13]]; G[6262]:=Group([(1,11)(3,12)(4,10)(6,9)(7,14)]); # Design 6263: autom. group order 2, simple B[6263]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,12,13,14],[1,3,5,8,11,12,13],[1,3,7,8,9,10,12],[1,4,5,9,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,11,14],[1,5,6,7,9,10,12],[1,6,7,8,9,11,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,7,8,10,14],[2,4,6,8,9,10,13],[2,4,7,9,11,12,13],[2,5,6,8,10,11,12],[2,5,9,10,11,12,14],[3,4,5,6,9,11,14],[3,4,6,8,11,12,14],[3,4,7,10,12,13,14],[3,5,6,7,10,11,13],[3,5,8,9,10,13,14],[4,5,6,7,8,12,13]]; G[6263]:=Group([(1,11)(3,12)(4,10)(6,9)(7,14)]); # Design 6264: autom. group order 2, simple, residual B[6264]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,9,10,11,12],[1,3,5,10,12,13,14],[1,3,7,9,11,13,14],[1,4,5,8,9,11,14],[1,4,6,8,9,12,13],[1,4,7,8,10,12,14],[1,5,6,7,9,10,14],[1,6,7,8,11,12,13],[2,3,6,7,8,11,14],[2,3,7,8,9,10,12],[2,4,5,7,12,13,14],[2,4,6,9,10,13,14],[2,4,8,10,11,13,14],[2,5,6,9,11,12,14],[2,5,7,8,9,12,13],[3,4,5,6,11,12,13],[3,4,6,7,9,10,13],[3,4,7,9,11,12,14],[3,5,6,8,10,12,14],[3,5,8,9,10,11,13],[4,5,6,7,8,10,11]]; G[6264]:=Group([(1,13)(3,14)(5,10)(6,8)(7,11)]); # Design 6265: autom. group order 2, simple, residual B[6265]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,9,11,13],[1,3,5,8,11,12,13],[1,3,7,8,9,10,12],[1,4,5,9,12,13,14],[1,4,6,10,12,13,14],[1,4,7,8,10,11,14],[1,5,6,7,9,10,12],[1,6,7,8,9,11,14],[2,3,6,7,9,12,14],[2,3,8,9,10,13,14],[2,4,5,7,8,10,14],[2,4,6,7,8,12,13],[2,4,7,9,11,12,13],[2,5,6,8,10,11,12],[2,5,9,10,11,12,14],[3,4,5,6,9,11,14],[3,4,6,8,11,12,14],[3,4,7,9,10,11,13],[3,5,6,7,10,11,13],[3,5,7,8,12,13,14],[4,5,6,8,9,10,13]]; G[6265]:=Group([(1,11)(3,12)(4,10)(6,9)(7,14)]); # Design 6266: autom. group order 2, simple, residual B[6266]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,10,11,12],[1,3,5,9,11,12,14],[1,3,7,8,9,12,14],[1,4,5,9,10,13,14],[1,4,6,8,11,13,14],[1,4,7,11,12,13,14],[1,5,6,7,9,10,13],[1,6,7,8,9,10,12],[2,3,6,9,12,13,14],[2,3,7,9,10,11,13],[2,4,5,7,10,12,14],[2,4,6,7,9,11,14],[2,4,7,8,9,12,13],[2,5,6,8,9,11,14],[2,5,8,10,12,13,14],[3,4,5,6,8,12,13],[3,4,6,7,8,10,14],[3,4,8,9,10,11,13],[3,5,6,7,11,12,13],[3,5,7,8,10,11,14],[4,5,6,9,10,11,12]]; G[6266]:=Group([(2,13)(3,14)(5,11)(7,8)(9,12)]); # Design 6267: autom. group order 2, simple, residual B[6267]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,11,13,14],[1,3,5,9,10,12,14],[1,3,7,8,11,12,13],[1,4,5,8,12,13,14],[1,4,6,8,9,10,11],[1,4,7,9,10,12,13],[1,5,6,7,9,11,14],[1,6,7,8,10,12,14],[2,3,6,8,9,12,13],[2,3,7,8,9,10,14],[2,4,5,7,10,13,14],[2,4,6,7,8,12,14],[2,4,9,11,12,13,14],[2,5,6,8,10,11,12],[2,5,7,9,10,11,12],[3,4,5,6,11,12,14],[3,4,6,7,10,11,13],[3,4,7,8,9,11,14],[3,5,6,7,9,12,13],[3,5,8,10,11,13,14],[4,5,6,8,9,10,13]]; G[6267]:=Group([(1,11)(3,12)(4,10)(6,9)]); # Design 6268: autom. group order 2, simple, residual B[6268]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,6,8,10,11,14],[1,3,5,8,9,12,14],[1,3,7,8,9,11,13],[1,4,5,8,10,13,14],[1,4,6,9,12,13,14],[1,4,7,11,12,13,14],[1,5,6,7,9,10,12],[1,6,7,8,9,10,11],[2,3,6,9,11,12,14],[2,3,7,8,10,12,13],[2,4,5,9,10,11,13],[2,4,6,8,9,12,13],[2,4,7,8,9,11,14],[2,5,6,7,8,13,14],[2,5,7,9,10,12,14],[3,4,5,6,7,11,14],[3,4,6,7,9,10,13],[3,4,7,8,10,12,14],[3,5,6,8,11,12,13],[3,5,9,10,11,13,14],[4,5,6,8,10,11,12]]; G[6268]:=Group([(2,14)(3,13)(5,12)(7,9)(8,11)]); # Design 6269: autom. group order 2, simple, residual B[6269]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,9,10,13],[1,2,6,9,11,12,14],[1,3,5,10,11,12,13],[1,3,8,9,11,13,14],[1,4,5,7,11,12,14],[1,4,6,7,11,13,14],[1,4,7,8,9,10,14],[1,5,6,8,10,12,13],[1,6,7,8,9,10,12],[2,3,6,7,10,12,14],[2,3,7,8,9,11,12],[2,4,5,8,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,11,13],[2,5,6,8,10,11,14],[2,5,7,9,12,13,14],[3,4,5,6,9,10,14],[3,4,6,7,8,12,13],[3,4,9,10,12,13,14],[3,5,6,7,9,11,13],[3,5,7,8,10,11,14],[4,5,6,8,9,11,12]]; G[6269]:=Group([(1,10)(3,11)(5,13)(7,9)]); # Design 6270: autom. group order 2, simple, residual B[6270]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,9,11,13],[1,3,5,8,10,12,14],[1,3,9,11,12,13,14],[1,4,5,7,9,12,13],[1,4,6,8,9,10,11],[1,4,7,8,10,12,13],[1,5,6,7,8,11,14],[1,6,7,9,10,12,14],[2,3,6,7,8,12,13],[2,3,7,8,9,10,14],[2,4,5,9,10,13,14],[2,4,6,7,9,12,14],[2,4,8,11,12,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,11,12],[3,4,5,6,11,12,14],[3,4,6,7,10,11,13],[3,4,7,8,9,11,14],[3,5,6,8,9,12,13],[3,5,7,9,10,11,13],[4,5,6,8,10,13,14]]; G[6270]:=Group([(1,11)(3,12)(4,10)(6,8)]); # Design 6271: autom. group order 2, simple, residual B[6271]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,9,11,13],[1,3,5,10,11,12,14],[1,3,8,9,12,13,14],[1,4,5,7,8,12,13],[1,4,6,8,9,10,11],[1,4,7,9,10,12,13],[1,5,6,7,9,11,14],[1,6,7,8,10,12,14],[2,3,6,7,9,12,13],[2,3,7,8,9,10,14],[2,4,5,8,10,13,14],[2,4,6,8,11,12,14],[2,4,7,9,11,12,14],[2,5,6,7,8,10,12],[2,5,9,10,11,12,13],[3,4,5,6,9,12,14],[3,4,6,7,10,11,13],[3,4,7,8,11,13,14],[3,5,6,8,11,12,13],[3,5,7,8,9,10,11],[4,5,6,9,10,13,14]]; G[6271]:=Group([(1,11)(3,12)(5,14)(6,9)]); # Design 6272: autom. group order 2, simple, residual B[6272]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,11,12,13],[1,3,5,9,11,12,14],[1,3,8,9,12,13,14],[1,4,5,8,10,13,14],[1,4,6,7,9,11,13],[1,4,7,8,9,10,11],[1,5,6,7,8,10,12],[1,6,7,9,10,12,14],[2,3,6,7,8,9,13],[2,3,7,9,10,11,14],[2,4,5,9,10,12,13],[2,4,6,8,9,12,14],[2,4,7,8,11,12,14],[2,5,6,8,10,11,14],[2,5,7,9,10,12,13],[3,4,5,6,7,12,14],[3,4,6,10,11,12,13],[3,4,7,8,10,13,14],[3,5,6,8,9,10,11],[3,5,7,8,11,12,13],[4,5,6,9,11,13,14]]; G[6272]:=Group([(1,6)(2,13)(3,11)(5,9)(8,14)(10,12)]); # Design 6273: autom. group order 2, simple, residual B[6273]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,12,14],[1,2,6,7,9,11,14],[1,3,5,7,9,13,14],[1,3,7,8,11,12,13],[1,4,5,7,12,13,14],[1,4,6,8,10,13,14],[1,4,9,10,11,13,14],[1,5,6,8,9,10,12],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,9,10,14],[2,4,5,9,11,12,13],[2,4,6,7,8,12,13],[2,4,7,8,9,10,13],[2,5,6,8,11,13,14],[2,5,7,10,11,12,14],[3,4,5,6,8,11,14],[3,4,6,7,10,12,14],[3,4,8,9,11,12,14],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,7,9,10,11]]; G[6273]:=Group([(2,14)(3,13)(5,10)(6,9)(7,11)]); # Design 6274: autom. group order 2, simple B[6274]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,12,14],[1,2,6,7,9,11,14],[1,3,5,7,9,13,14],[1,3,7,8,9,10,12],[1,4,5,7,12,13,14],[1,4,6,8,10,13,14],[1,4,9,10,11,13,14],[1,5,6,8,11,12,13],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,5,8,9,11,13],[2,4,6,7,8,12,13],[2,4,7,9,10,12,13],[2,5,6,9,10,12,14],[2,5,7,8,10,11,14],[3,4,5,6,11,12,14],[3,4,6,7,8,10,14],[3,4,8,9,11,12,14],[3,5,6,8,9,10,13],[3,5,7,10,11,12,13],[4,5,6,7,9,10,11]]; G[6274]:=Group([(2,14)(3,13)(5,10)(6,9)(7,11)]); # Design 6275: autom. group order 2, simple, residual B[6275]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,12,14],[1,2,6,7,9,11,14],[1,3,5,7,9,13,14],[1,3,7,8,11,12,13],[1,4,5,7,12,13,14],[1,4,6,8,10,13,14],[1,4,9,10,11,13,14],[1,5,6,8,9,10,12],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,9,10,14],[2,4,5,8,9,11,13],[2,4,6,7,8,12,13],[2,4,7,9,10,12,13],[2,5,6,8,11,13,14],[2,5,7,10,11,12,14],[3,4,5,6,11,12,14],[3,4,6,7,8,10,14],[3,4,8,9,11,12,14],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,7,9,10,11]]; G[6275]:=Group([(2,14)(3,13)(5,10)(6,9)(7,11)]); # Design 6276: autom. group order 2, simple B[6276]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,12,14],[1,2,6,7,9,11,14],[1,3,5,7,9,13,14],[1,3,7,8,9,10,12],[1,4,5,7,12,13,14],[1,4,6,8,10,13,14],[1,4,9,10,11,13,14],[1,5,6,8,11,12,13],[1,6,7,8,9,11,12],[2,3,6,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,9,11,12,13],[2,4,6,7,8,12,13],[2,4,7,8,9,10,13],[2,5,6,9,10,12,14],[2,5,7,8,10,11,14],[3,4,5,6,8,11,14],[3,4,6,7,10,12,14],[3,4,8,9,11,12,14],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,7,9,10,11]]; G[6276]:=Group([(2,14)(3,13)(5,10)(6,9)(7,11)]); # Design 6277: autom. group order 2, simple B[6277]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,12,14],[1,2,6,7,9,11,14],[1,3,5,7,9,13,14],[1,3,7,8,11,12,13],[1,4,5,7,12,13,14],[1,4,6,8,10,13,14],[1,4,9,10,11,13,14],[1,5,6,8,9,10,12],[1,6,7,8,9,11,12],[2,3,6,8,9,13,14],[2,3,7,9,10,12,14],[2,4,5,9,11,12,13],[2,4,6,7,8,12,13],[2,4,7,8,9,10,13],[2,5,6,11,12,13,14],[2,5,7,8,10,11,14],[3,4,5,6,8,11,14],[3,4,6,7,10,12,14],[3,4,8,9,11,12,14],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,7,9,10,11]]; G[6277]:=Group([(2,14)(3,13)(5,10)(6,9)(7,11)]); # Design 6278: autom. group order 2, simple B[6278]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,12,14],[1,2,6,7,9,11,14],[1,3,5,7,9,13,14],[1,3,7,8,11,12,13],[1,4,5,7,12,13,14],[1,4,6,8,10,13,14],[1,4,9,10,11,13,14],[1,5,6,8,9,10,12],[1,6,7,8,9,11,12],[2,3,6,8,9,13,14],[2,3,7,9,10,12,14],[2,4,5,8,9,11,13],[2,4,6,7,8,12,13],[2,4,7,9,10,12,13],[2,5,6,11,12,13,14],[2,5,7,8,10,11,14],[3,4,5,6,11,12,14],[3,4,6,7,8,10,14],[3,4,8,9,11,12,14],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,7,9,10,11]]; G[6278]:=Group([(2,14)(3,13)(5,10)(6,9)(7,11)]); # Design 6279: autom. group order 2, simple B[6279]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,12,14],[1,2,6,7,9,11,14],[1,3,5,7,9,13,14],[1,3,7,8,9,10,12],[1,4,5,7,12,13,14],[1,4,6,8,10,13,14],[1,4,9,10,11,13,14],[1,5,6,8,11,12,13],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,5,9,11,12,13],[2,4,6,8,9,12,14],[2,4,7,8,9,10,13],[2,5,6,7,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,8,11,14],[3,4,6,7,10,12,14],[3,4,7,8,11,12,13],[3,5,6,8,9,10,13],[3,5,9,10,11,12,14],[4,5,6,7,9,10,11]]; G[6279]:=Group([(2,14)(3,13)(5,10)(6,9)(7,11)]); # Design 6280: autom. group order 2, simple B[6280]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,12,14],[1,2,6,7,9,11,14],[1,3,5,7,9,13,14],[1,3,7,8,9,10,12],[1,4,5,7,12,13,14],[1,4,6,8,10,13,14],[1,4,9,10,11,13,14],[1,5,6,8,11,12,13],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,5,8,9,11,13],[2,4,6,8,9,12,14],[2,4,7,9,10,12,13],[2,5,6,7,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,11,12,14],[3,4,6,7,8,10,14],[3,4,7,8,11,12,13],[3,5,6,8,9,10,13],[3,5,9,10,11,12,14],[4,5,6,7,9,10,11]]; G[6280]:=Group([(2,14)(3,13)(5,10)(6,9)(7,11)]); # Design 6281: autom. group order 2, simple, residual B[6281]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,12,14],[1,2,6,7,9,11,14],[1,3,5,7,9,13,14],[1,3,7,8,9,10,12],[1,4,5,7,12,13,14],[1,4,6,8,10,13,14],[1,4,9,10,11,13,14],[1,5,6,8,11,12,13],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,5,8,9,11,13],[2,4,6,8,9,12,14],[2,4,7,9,10,12,13],[2,5,6,7,8,10,13],[2,5,7,10,11,12,14],[3,4,5,6,11,12,14],[3,4,6,7,8,10,14],[3,4,7,8,11,12,13],[3,5,6,9,10,12,13],[3,5,8,9,10,11,14],[4,5,6,7,9,10,11]]; G[6281]:=Group([(2,14)(3,13)(5,10)(6,9)(7,11)]); # Design 6282: autom. group order 2, simple B[6282]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,12,13],[1,2,6,7,9,10,11],[1,3,5,7,10,13,14],[1,3,7,9,11,13,14],[1,4,5,7,8,12,14],[1,4,6,8,9,12,13],[1,4,8,9,10,11,14],[1,5,6,9,10,12,14],[1,6,7,8,11,12,13],[2,3,6,8,11,12,14],[2,3,7,8,9,10,12],[2,4,5,11,12,13,14],[2,4,6,9,10,13,14],[2,4,7,8,10,13,14],[2,5,6,7,9,12,14],[2,5,7,8,9,11,13],[3,4,5,6,9,11,13],[3,4,6,7,10,12,13],[3,4,7,9,11,12,14],[3,5,6,8,10,11,14],[3,5,8,9,10,12,13],[4,5,6,7,8,10,11]]; G[6282]:=Group([(1,13)(3,14)(5,10)(6,8)]); # Design 6283: autom. group order 2, simple, residual B[6283]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,7,8,10,14],[1,3,5,7,11,12,14],[1,3,7,8,9,12,13],[1,4,5,9,10,13,14],[1,4,6,8,11,13,14],[1,4,7,11,12,13,14],[1,5,6,9,10,11,12],[1,6,7,8,9,10,12],[2,3,6,8,11,12,13],[2,3,7,9,10,11,14],[2,4,5,7,10,12,13],[2,4,6,7,9,11,13],[2,4,7,8,9,12,14],[2,5,6,9,11,12,14],[2,5,8,10,12,13,14],[3,4,5,6,8,12,14],[3,4,6,9,10,12,13],[3,4,8,9,10,11,14],[3,5,6,7,9,13,14],[3,5,7,8,10,11,13],[4,5,6,7,8,10,11]]; G[6283]:=Group([(2,14)(3,13)(5,11)(7,8)(9,12)]); # Design 6284: autom. group order 2, simple B[6284]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,7,8,10,12],[1,3,5,7,12,13,14],[1,3,7,8,9,11,14],[1,4,5,9,10,13,14],[1,4,6,8,11,12,13],[1,4,7,11,12,13,14],[1,5,6,9,10,11,12],[1,6,7,8,9,10,14],[2,3,6,8,11,13,14],[2,3,7,9,10,12,13],[2,4,5,7,10,11,14],[2,4,6,7,9,11,13],[2,4,7,8,9,12,14],[2,5,6,9,12,13,14],[2,5,8,10,11,12,14],[3,4,5,6,8,12,14],[3,4,6,9,10,11,14],[3,4,8,9,10,12,13],[3,5,6,7,9,11,12],[3,5,7,8,10,11,13],[4,5,6,7,8,10,13]]; G[6284]:=Group([(2,12)(3,11)(5,13)(7,8)(9,14)]); # Design 6285: autom. group order 2, simple, residual B[6285]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,11,13],[1,3,5,7,11,12,13],[1,3,7,9,10,12,14],[1,4,5,9,12,13,14],[1,4,6,8,10,12,13],[1,4,7,8,10,11,14],[1,5,6,8,9,10,12],[1,6,7,8,9,11,14],[2,3,6,8,9,12,14],[2,3,7,8,9,10,13],[2,4,5,7,8,10,14],[2,4,6,7,12,13,14],[2,4,8,9,11,12,13],[2,5,6,10,11,12,14],[2,5,7,9,10,11,12],[3,4,5,6,9,11,14],[3,4,6,7,8,11,12],[3,4,9,10,11,13,14],[3,5,6,8,10,11,13],[3,5,7,8,12,13,14],[4,5,6,7,9,10,13]]; G[6285]:=Group([(1,11)(3,12)(4,10)(6,9)(8,14)]); # Design 6286: autom. group order 2, simple, residual B[6286]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,11,13],[1,3,5,7,11,12,13],[1,3,7,9,10,12,14],[1,4,5,9,12,13,14],[1,4,6,8,10,12,13],[1,4,7,8,10,11,14],[1,5,6,8,9,10,12],[1,6,7,8,9,11,14],[2,3,6,8,9,12,14],[2,3,7,8,12,13,14],[2,4,5,7,8,10,14],[2,4,6,7,9,10,13],[2,4,8,9,11,12,13],[2,5,6,10,11,12,14],[2,5,7,9,10,11,12],[3,4,5,6,9,11,14],[3,4,6,7,8,11,12],[3,4,9,10,11,13,14],[3,5,6,8,10,11,13],[3,5,7,8,9,10,13],[4,5,6,7,12,13,14]]; G[6286]:=Group([(1,11)(3,12)(4,10)(6,9)(8,14)]); # Design 6287: autom. group order 2, simple B[6287]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,8,12,13],[1,3,5,7,11,12,13],[1,3,7,9,10,12,14],[1,4,5,9,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,11,14],[1,5,6,8,9,10,12],[1,6,7,8,9,11,14],[2,3,6,8,9,12,14],[2,3,7,9,11,13,14],[2,4,5,7,8,10,14],[2,4,6,7,9,10,13],[2,4,8,9,11,12,13],[2,5,6,10,11,12,14],[2,5,7,9,10,11,12],[3,4,5,6,9,11,14],[3,4,6,7,8,11,12],[3,4,8,10,12,13,14],[3,5,6,8,10,11,13],[3,5,7,8,9,10,13],[4,5,6,7,12,13,14]]; G[6287]:=Group([(1,11)(3,12)(4,10)(6,9)(8,14)]); # Design 6288: autom. group order 2, simple B[6288]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,10,11],[1,3,5,7,11,12,13],[1,3,7,9,12,13,14],[1,4,5,9,10,12,14],[1,4,6,8,9,12,13],[1,4,7,8,10,11,14],[1,5,6,8,10,12,13],[1,6,7,8,9,11,14],[2,3,6,8,9,12,14],[2,3,7,8,10,12,14],[2,4,5,7,8,13,14],[2,4,6,11,12,13,14],[2,4,7,9,11,12,13],[2,5,6,7,9,10,13],[2,5,8,9,10,11,12],[3,4,5,6,9,11,14],[3,4,6,8,10,11,13],[3,4,7,8,9,10,13],[3,5,6,7,8,11,12],[3,5,9,10,11,13,14],[4,5,6,7,10,12,14]]; G[6288]:=Group([(1,11)(3,12)(5,13)(6,9)(8,14)]); # Design 6289: autom. group order 2, simple, residual B[6289]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,10,11],[1,3,5,7,11,12,13],[1,3,7,8,11,12,14],[1,4,5,9,10,12,14],[1,4,6,8,9,12,13],[1,4,7,9,10,13,14],[1,5,6,8,10,12,13],[1,6,7,8,9,11,14],[2,3,6,8,9,12,14],[2,3,7,8,9,10,13],[2,4,5,7,8,13,14],[2,4,6,11,12,13,14],[2,4,7,9,11,12,13],[2,5,6,7,10,12,14],[2,5,8,9,10,11,12],[3,4,5,6,9,11,14],[3,4,6,8,10,11,13],[3,4,7,8,10,12,14],[3,5,6,7,9,12,13],[3,5,9,10,11,13,14],[4,5,6,7,8,10,11]]; G[6289]:=Group([(1,11)(3,12)(5,13)(6,9)(8,14)]); # Design 6290: autom. group order 2, simple B[6290]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,8,10,12],[1,3,5,7,11,12,13],[1,3,7,9,12,13,14],[1,4,5,9,10,12,14],[1,4,6,8,9,12,13],[1,4,7,8,10,11,14],[1,5,6,9,10,11,13],[1,6,7,8,9,11,14],[2,3,6,8,9,12,14],[2,3,7,9,10,11,14],[2,4,5,7,8,13,14],[2,4,6,11,12,13,14],[2,4,7,9,11,12,13],[2,5,6,7,9,10,13],[2,5,8,9,10,11,12],[3,4,5,6,9,11,14],[3,4,6,8,10,11,13],[3,4,7,8,9,10,13],[3,5,6,7,8,11,12],[3,5,8,10,12,13,14],[4,5,6,7,10,12,14]]; G[6290]:=Group([(1,11)(3,12)(5,13)(6,9)(8,14)]); # Design 6291: autom. group order 2, simple, residual B[6291]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,13,14],[1,2,6,7,9,10,11],[1,3,5,7,10,12,13],[1,3,7,8,10,12,14],[1,4,5,9,11,12,14],[1,4,6,9,12,13,14],[1,4,7,8,9,11,13],[1,5,6,8,11,12,13],[1,6,7,8,9,10,14],[2,3,6,8,9,11,12],[2,3,7,9,11,13,14],[2,4,5,7,8,13,14],[2,4,6,8,10,12,13],[2,4,7,9,10,12,13],[2,5,6,7,11,12,14],[2,5,8,9,10,12,14],[3,4,5,6,9,10,14],[3,4,6,10,11,13,14],[3,4,7,8,11,12,14],[3,5,6,7,9,12,13],[3,5,8,9,10,11,13],[4,5,6,7,8,10,11]]; G[6291]:=Group([(1,10)(3,12)(5,13)(6,9)]); # Design 6292: autom. group order 2, simple, residual B[6292]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,7,8,10,12],[1,3,5,7,12,13,14],[1,3,7,8,9,11,14],[1,4,5,9,10,13,14],[1,4,6,8,11,12,13],[1,4,7,11,12,13,14],[1,5,6,9,10,11,12],[1,6,7,8,9,10,14],[2,3,6,9,11,12,14],[2,3,8,10,11,13,14],[2,4,5,7,10,11,14],[2,4,6,7,9,11,13],[2,4,7,8,9,12,14],[2,5,6,9,12,13,14],[2,5,7,8,10,12,13],[3,4,5,6,8,12,14],[3,4,6,7,9,10,13],[3,4,8,9,10,12,13],[3,5,6,7,8,11,13],[3,5,7,9,10,11,12],[4,5,6,8,10,11,14]]; G[6292]:=Group([(2,12)(3,11)(5,13)(7,8)(9,14)]); # Design 6293: autom. group order 2, simple, residual B[6293]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,7,8,10,12],[1,3,5,7,12,13,14],[1,3,7,8,9,11,14],[1,4,5,9,10,13,14],[1,4,6,8,11,12,13],[1,4,7,11,12,13,14],[1,5,6,9,10,11,12],[1,6,7,8,9,10,14],[2,3,6,8,11,13,14],[2,3,9,10,11,12,14],[2,4,5,7,10,11,14],[2,4,6,7,9,11,13],[2,4,7,8,9,12,14],[2,5,6,9,12,13,14],[2,5,7,8,10,12,13],[3,4,5,6,8,12,14],[3,4,6,7,9,10,13],[3,4,8,9,10,12,13],[3,5,6,7,9,11,12],[3,5,7,8,10,11,13],[4,5,6,8,10,11,14]]; G[6293]:=Group([(2,12)(3,11)(5,13)(7,8)(9,14)]); # Design 6294: autom. group order 2, simple B[6294]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,9,10,12],[1,3,5,7,10,13,14],[1,3,9,11,12,13,14],[1,4,5,7,8,11,14],[1,4,6,7,11,12,14],[1,4,8,9,10,12,14],[1,5,6,8,10,12,13],[1,6,7,8,9,11,13],[2,3,6,8,9,11,14],[2,3,7,8,10,11,12],[2,4,5,9,12,13,14],[2,4,6,10,11,13,14],[2,4,7,8,10,13,14],[2,5,6,7,9,12,14],[2,5,7,8,11,12,13],[3,4,5,6,11,12,13],[3,4,6,7,9,10,13],[3,4,7,8,9,12,13],[3,5,6,8,10,12,14],[3,5,7,9,10,11,14],[4,5,6,8,9,10,11]]; G[6294]:=Group([(1,13)(3,14)(5,10)(6,8)(9,11)]); # Design 6295: autom. group order 2, simple, residual B[6295]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,12,14],[1,2,6,7,8,12,13],[1,3,5,7,9,13,14],[1,3,8,9,11,12,14],[1,4,5,7,12,13,14],[1,4,6,8,10,13,14],[1,4,9,10,11,13,14],[1,5,6,7,9,10,11],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,9,10,14],[2,4,5,9,11,12,13],[2,4,6,7,9,11,14],[2,4,7,8,9,10,13],[2,5,6,8,11,13,14],[2,5,7,10,11,12,14],[3,4,5,6,8,11,14],[3,4,6,7,10,12,14],[3,4,7,8,11,12,13],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,8,9,10,12]]; G[6295]:=Group([(2,14)(3,13)(5,10)(6,9)(7,11)]); # Design 6296: autom. group order 2, simple B[6296]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,12,14],[1,2,6,7,8,12,13],[1,3,5,7,9,13,14],[1,3,8,9,11,12,14],[1,4,5,7,12,13,14],[1,4,6,8,10,13,14],[1,4,9,10,11,13,14],[1,5,6,7,9,10,11],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,5,8,9,11,13],[2,4,6,7,9,11,14],[2,4,7,9,10,12,13],[2,5,6,9,10,12,14],[2,5,7,8,10,11,14],[3,4,5,6,11,12,14],[3,4,6,7,8,10,14],[3,4,7,8,9,10,12],[3,5,6,8,9,10,13],[3,5,7,10,11,12,13],[4,5,6,8,11,12,13]]; G[6296]:=Group([(2,14)(3,13)(5,10)(6,9)(7,11)]); # Design 6297: autom. group order 2, simple, residual B[6297]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,12,14],[1,2,6,7,8,12,13],[1,3,5,7,9,13,14],[1,3,8,9,11,12,14],[1,4,5,7,12,13,14],[1,4,6,8,10,13,14],[1,4,9,10,11,13,14],[1,5,6,7,9,10,11],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,9,10,14],[2,4,5,8,9,11,13],[2,4,6,7,9,11,14],[2,4,7,9,10,12,13],[2,5,6,8,11,13,14],[2,5,7,10,11,12,14],[3,4,5,6,11,12,14],[3,4,6,7,8,10,14],[3,4,7,8,11,12,13],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,8,9,10,12]]; G[6297]:=Group([(2,14)(3,13)(5,10)(6,9)(7,11)]); # Design 6298: autom. group order 2, simple B[6298]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,12,14],[1,2,6,7,8,12,13],[1,3,5,7,9,13,14],[1,3,8,9,11,12,14],[1,4,5,7,12,13,14],[1,4,6,8,10,13,14],[1,4,9,10,11,13,14],[1,5,6,7,9,10,11],[1,6,7,8,9,11,12],[2,3,6,8,9,13,14],[2,3,7,9,10,12,14],[2,4,5,9,11,12,13],[2,4,6,7,9,11,14],[2,4,7,8,9,10,13],[2,5,6,11,12,13,14],[2,5,7,8,10,11,14],[3,4,5,6,8,11,14],[3,4,6,7,10,12,14],[3,4,7,8,11,12,13],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,8,9,10,12]]; G[6298]:=Group([(2,14)(3,13)(5,10)(6,9)(7,11)]); # Design 6299: autom. group order 2, simple B[6299]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,12,14],[1,2,6,7,8,12,13],[1,3,5,7,9,13,14],[1,3,8,9,11,12,14],[1,4,5,7,12,13,14],[1,4,6,8,10,13,14],[1,4,9,10,11,13,14],[1,5,6,7,9,10,11],[1,6,7,8,9,11,12],[2,3,6,8,9,13,14],[2,3,7,9,10,12,14],[2,4,5,8,9,11,13],[2,4,6,7,9,11,14],[2,4,7,9,10,12,13],[2,5,6,11,12,13,14],[2,5,7,8,10,11,14],[3,4,5,6,11,12,14],[3,4,6,7,8,10,14],[3,4,7,8,11,12,13],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,8,9,10,12]]; G[6299]:=Group([(2,14)(3,13)(5,10)(6,9)(7,11)]); # Design 6300: autom. group order 2, simple B[6300]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,9,10,14],[1,3,5,7,11,12,14],[1,3,8,9,10,12,13],[1,4,5,7,10,13,14],[1,4,6,9,11,13,14],[1,4,8,11,12,13,14],[1,5,6,7,8,11,12],[1,6,7,8,9,10,12],[2,3,6,9,11,12,14],[2,3,7,10,12,13,14],[2,4,5,8,9,12,14],[2,4,6,7,8,12,13],[2,4,7,8,10,11,14],[2,5,6,8,10,11,13],[2,5,7,9,11,12,13],[3,4,5,6,10,12,13],[3,4,6,7,9,11,13],[3,4,7,8,9,10,11],[3,5,6,8,10,11,14],[3,5,7,8,9,13,14],[4,5,6,9,10,12,14]]; G[6300]:=Group([(2,13)(3,14)(5,11)(6,8)(7,12)]); # Design 6301: autom. group order 2, simple B[6301]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,9,10,12],[1,3,5,7,12,13,14],[1,3,8,9,10,11,14],[1,4,5,7,10,13,14],[1,4,6,9,11,12,13],[1,4,8,11,12,13,14],[1,5,6,7,8,11,12],[1,6,7,8,9,10,14],[2,3,6,9,12,13,14],[2,3,7,10,11,12,14],[2,4,5,8,9,12,14],[2,4,6,7,8,11,14],[2,4,7,8,10,12,13],[2,5,6,8,10,11,13],[2,5,7,9,11,13,14],[3,4,5,6,10,11,14],[3,4,6,7,9,11,13],[3,4,7,8,9,10,13],[3,5,6,8,10,12,13],[3,5,7,8,9,11,12],[4,5,6,9,10,12,14]]; G[6301]:=Group([(2,11)(3,12)(5,13)(6,8)(7,14)]); # Design 6302: autom. group order 2, simple B[6302]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,9,10,12],[1,3,5,7,12,13,14],[1,3,8,9,10,11,14],[1,4,5,7,10,13,14],[1,4,6,9,11,12,13],[1,4,8,11,12,13,14],[1,5,6,7,8,11,12],[1,6,7,8,9,10,14],[2,3,6,10,12,13,14],[2,3,7,9,11,12,14],[2,4,5,8,9,12,14],[2,4,6,7,8,11,14],[2,4,7,8,10,12,13],[2,5,6,8,10,11,13],[2,5,7,9,11,13,14],[3,4,5,6,10,11,14],[3,4,6,7,9,11,13],[3,4,7,8,9,10,13],[3,5,6,8,9,12,13],[3,5,7,8,10,11,12],[4,5,6,9,10,12,14]]; G[6302]:=Group([(2,11)(3,12)(5,13)(6,8)(7,14)]); # Design 6303: autom. group order 2, simple, residual B[6303]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,9,10,14],[1,3,5,7,11,12,14],[1,3,8,9,10,12,13],[1,4,5,7,10,13,14],[1,4,6,9,11,13,14],[1,4,8,11,12,13,14],[1,5,6,7,8,11,12],[1,6,7,8,9,10,12],[2,3,6,9,11,12,14],[2,3,7,8,10,11,13],[2,4,5,8,10,12,14],[2,4,6,7,8,12,13],[2,4,7,8,9,11,14],[2,5,6,10,12,13,14],[2,5,7,9,11,12,13],[3,4,5,6,9,12,13],[3,4,6,7,10,11,13],[3,4,7,9,10,12,14],[3,5,6,8,10,11,14],[3,5,7,8,9,13,14],[4,5,6,8,9,10,11]]; G[6303]:=Group([(2,13)(3,14)(5,11)(6,8)(7,12)]); # Design 6304: autom. group order 2, simple B[6304]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,9,10,12],[1,3,5,7,12,13,14],[1,3,8,9,10,11,14],[1,4,5,7,10,13,14],[1,4,6,9,11,12,13],[1,4,8,11,12,13,14],[1,5,6,7,8,11,12],[1,6,7,8,9,10,14],[2,3,6,9,12,13,14],[2,3,7,8,10,11,13],[2,4,5,8,10,12,14],[2,4,6,7,8,11,14],[2,4,7,8,9,12,13],[2,5,6,10,11,12,14],[2,5,7,9,11,13,14],[3,4,5,6,9,11,14],[3,4,6,7,10,11,13],[3,4,7,9,10,12,14],[3,5,6,8,10,12,13],[3,5,7,8,9,11,12],[4,5,6,8,9,10,13]]; G[6304]:=Group([(2,11)(3,12)(5,13)(6,8)(7,14)]); # Design 6305: autom. group order 2, simple, residual B[6305]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,13,14],[1,2,6,7,9,12,13],[1,3,5,7,10,12,14],[1,3,8,9,10,11,13],[1,4,5,9,11,12,14],[1,4,6,7,10,13,14],[1,4,7,8,9,11,13],[1,5,6,7,8,11,12],[1,6,8,9,10,12,14],[2,3,6,8,11,12,14],[2,3,7,9,10,12,13],[2,4,5,8,10,12,13],[2,4,6,9,10,11,14],[2,4,7,8,9,12,14],[2,5,6,7,9,10,11],[2,5,7,8,11,13,14],[3,4,5,6,9,13,14],[3,4,6,7,8,10,11],[3,4,7,11,12,13,14],[3,5,6,9,11,12,13],[3,5,7,8,9,10,14],[4,5,6,8,10,12,13]]; G[6305]:=Group([(1,7)(3,9)(4,12)(5,13)(8,10)(11,14)]); # Design 6306: autom. group order 2, simple, residual B[6306]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,10,11,13,14],[1,2,6,7,8,12,13],[1,3,5,7,11,12,14],[1,3,8,9,12,13,14],[1,4,5,8,9,10,12],[1,4,6,9,12,13,14],[1,4,7,8,10,11,13],[1,5,6,7,9,11,14],[1,6,7,8,9,10,11],[2,3,6,7,9,10,12],[2,3,7,8,9,11,13],[2,4,5,7,8,13,14],[2,4,6,8,11,12,14],[2,4,7,9,11,12,14],[2,5,6,8,9,10,14],[2,5,9,10,11,12,13],[3,4,5,6,9,11,13],[3,4,6,8,10,11,14],[3,4,7,9,10,13,14],[3,5,6,8,11,12,13],[3,5,7,8,10,12,14],[4,5,6,7,10,12,13]]; G[6306]:=Group([(1,11)(3,12)(5,14)(6,9)]); # Design 6307: autom. group order 2, simple, residual B[6307]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,9,11,14],[1,3,5,7,8,12,14],[1,3,8,9,11,12,13],[1,4,5,9,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,13,14],[1,5,6,7,9,10,12],[1,6,7,8,11,12,13],[2,3,6,9,12,13,14],[2,3,7,8,9,11,14],[2,4,5,11,12,13,14],[2,4,6,7,8,12,13],[2,4,7,8,9,10,12],[2,5,6,9,10,11,12],[2,5,7,8,10,13,14],[3,4,5,6,7,11,13],[3,4,6,8,9,10,13],[3,4,7,10,11,12,14],[3,5,6,8,10,12,14],[3,5,7,9,10,11,13],[4,5,6,8,9,11,14]]; G[6307]:=Group([(2,11)(3,8)(4,13)(5,12)]); # Design 6308: autom. group order 2, simple, residual B[6308]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,9,11,14],[1,3,5,7,8,12,14],[1,3,8,9,11,12,13],[1,4,5,9,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,13,14],[1,5,6,7,9,10,12],[1,6,7,8,11,12,13],[2,3,6,9,12,13,14],[2,3,7,8,9,11,14],[2,4,5,11,12,13,14],[2,4,6,7,8,12,13],[2,4,7,8,10,12,14],[2,5,6,9,10,11,12],[2,5,7,8,9,10,13],[3,4,5,6,7,11,13],[3,4,6,8,9,10,13],[3,4,7,9,10,11,12],[3,5,6,8,10,12,14],[3,5,7,10,11,13,14],[4,5,6,8,9,11,14]]; G[6308]:=Group([(2,11)(3,8)(4,13)(5,12)]); # Design 6309: autom. group order 2, simple, residual B[6309]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,9,11,14],[1,3,5,7,8,12,14],[1,3,8,9,11,12,13],[1,4,5,9,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,13,14],[1,5,6,7,9,10,12],[1,6,7,8,11,12,13],[2,3,6,9,10,12,13],[2,3,7,8,9,11,14],[2,4,5,11,12,13,14],[2,4,6,7,8,12,13],[2,4,7,8,10,12,14],[2,5,6,8,9,13,14],[2,5,7,9,10,11,12],[3,4,5,6,7,11,13],[3,4,6,9,11,12,14],[3,4,7,8,9,10,13],[3,5,6,8,10,12,14],[3,5,7,10,11,13,14],[4,5,6,8,9,10,11]]; G[6309]:=Group([(2,11)(3,8)(4,13)(5,12)]); # Design 6310: autom. group order 2, simple, residual B[6310]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,9,11,14],[1,3,5,7,8,12,14],[1,3,8,9,11,12,13],[1,4,5,9,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,13,14],[1,5,6,7,9,10,12],[1,6,7,8,11,12,13],[2,3,6,9,12,13,14],[2,3,7,8,9,11,14],[2,4,5,11,12,13,14],[2,4,6,7,8,12,13],[2,4,7,8,10,12,14],[2,5,6,8,9,10,13],[2,5,7,9,10,11,12],[3,4,5,6,7,11,13],[3,4,6,9,10,11,12],[3,4,7,8,9,10,13],[3,5,6,8,10,12,14],[3,5,7,10,11,13,14],[4,5,6,8,9,11,14]]; G[6310]:=Group([(2,11)(3,8)(4,13)(5,12)]); # Design 6311: autom. group order 2, simple, residual B[6311]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,13,14],[1,2,6,7,9,11,13],[1,3,5,9,12,13,14],[1,3,7,8,9,11,14],[1,4,5,7,11,12,13],[1,4,6,7,8,12,13],[1,4,7,8,9,10,14],[1,5,6,10,11,12,14],[1,6,8,9,10,11,12],[2,3,6,7,9,10,12],[2,3,7,8,11,12,14],[2,4,5,9,11,12,14],[2,4,6,8,11,13,14],[2,4,8,9,10,12,13],[2,5,6,7,8,12,14],[2,5,7,9,10,11,13],[3,4,5,6,8,10,11],[3,4,6,9,12,13,14],[3,4,7,10,11,13,14],[3,5,6,8,9,11,13],[3,5,7,8,10,12,13],[4,5,6,7,9,10,14]]; G[6311]:=Group([(2,12)(3,11)(4,10)(5,6)(7,14)]); # Design 6312: autom. group order 2, simple, residual B[6312]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,13,14],[1,2,6,7,9,11,13],[1,3,5,9,12,13,14],[1,3,7,8,9,11,14],[1,4,5,7,11,12,13],[1,4,6,7,8,12,13],[1,4,7,8,9,10,14],[1,5,6,10,11,12,14],[1,6,8,9,10,11,12],[2,3,6,7,8,10,12],[2,3,8,9,11,12,13],[2,4,5,8,11,12,14],[2,4,6,9,11,13,14],[2,4,7,9,10,12,14],[2,5,6,7,9,12,14],[2,5,7,8,10,11,13],[3,4,5,6,9,10,11],[3,4,6,8,12,13,14],[3,4,7,10,11,13,14],[3,5,6,7,8,11,14],[3,5,7,9,10,12,13],[4,5,6,8,9,10,13]]; G[6312]:=Group([(2,12)(3,11)(4,10)(5,6)(7,14)]); # Design 6313: autom. group order 2, simple, residual B[6313]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,11,12,13,14],[1,2,6,7,8,13,14],[1,3,5,9,11,13,14],[1,3,7,9,10,11,14],[1,4,5,7,9,12,13],[1,4,6,7,9,10,14],[1,4,8,10,12,13,14],[1,5,6,7,8,11,12],[1,6,8,9,10,11,12],[2,3,6,7,11,12,14],[2,3,7,9,10,12,13],[2,4,5,8,10,11,14],[2,4,6,9,11,12,13],[2,4,7,8,9,11,14],[2,5,6,9,10,13,14],[2,5,7,8,9,10,12],[3,4,5,6,10,12,14],[3,4,6,8,9,11,13],[3,4,7,8,12,13,14],[3,5,6,8,9,12,14],[3,5,7,8,10,11,13],[4,5,6,7,10,11,13]]; G[6313]:=Group([(1,14)(2,12)(4,6)(7,10)]); # Design 6314: autom. group order 2, simple B[6314]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,12,13],[1,2,6,7,9,10,11],[1,3,5,9,10,13,14],[1,3,7,9,11,13,14],[1,4,5,7,8,11,14],[1,4,6,7,8,12,13],[1,4,8,9,10,12,14],[1,5,6,7,10,12,14],[1,6,8,9,11,12,13],[2,3,6,8,11,12,14],[2,3,7,8,9,10,12],[2,4,5,11,12,13,14],[2,4,6,9,10,13,14],[2,4,7,8,10,13,14],[2,5,6,7,9,12,14],[2,5,7,8,9,11,13],[3,4,5,6,9,12,13],[3,4,6,7,10,11,13],[3,4,7,9,11,12,14],[3,5,6,8,10,11,14],[3,5,7,8,10,12,13],[4,5,6,8,9,10,11]]; G[6314]:=Group([(1,13)(3,14)(5,10)(6,8)]); # Design 6315: autom. group order 2, simple, residual B[6315]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,11,12,13,14],[1,2,6,7,8,13,14],[1,3,5,9,11,13,14],[1,3,7,9,10,11,14],[1,4,5,7,9,12,13],[1,4,6,7,9,10,14],[1,4,8,10,12,13,14],[1,5,6,8,10,11,12],[1,6,7,8,9,11,12],[2,3,6,7,11,12,14],[2,3,7,9,10,12,13],[2,4,5,7,8,11,14],[2,4,6,9,11,12,13],[2,4,8,9,10,11,14],[2,5,6,9,10,13,14],[2,5,7,8,9,10,12],[3,4,5,6,10,12,14],[3,4,6,8,9,11,13],[3,4,7,8,12,13,14],[3,5,6,8,9,12,14],[3,5,7,8,10,11,13],[4,5,6,7,10,11,13]]; G[6315]:=Group([(1,14)(2,12)(4,6)(7,10)]); # Design 6316: autom. group order 2, simple, residual B[6316]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,11,13],[1,3,5,9,10,12,14],[1,3,7,11,12,13,14],[1,4,5,7,8,12,13],[1,4,6,7,9,10,11],[1,4,8,9,10,12,13],[1,5,6,8,9,11,14],[1,6,7,8,10,12,14],[2,3,6,8,9,12,13],[2,3,7,8,9,10,14],[2,4,5,7,10,13,14],[2,4,6,7,8,12,14],[2,4,9,11,12,13,14],[2,5,6,8,10,11,12],[2,5,7,9,10,11,12],[3,4,5,6,11,12,14],[3,4,6,8,10,11,13],[3,4,7,8,9,11,14],[3,5,6,7,9,12,13],[3,5,7,8,10,11,13],[4,5,6,9,10,13,14]]; G[6316]:=Group([(1,11)(3,12)(4,10)(6,9)]); # Design 6317: autom. group order 2, simple, residual B[6317]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,11,13],[1,3,5,10,11,12,14],[1,3,7,9,12,13,14],[1,4,5,7,8,12,13],[1,4,6,7,9,10,11],[1,4,8,9,10,12,13],[1,5,6,8,9,11,14],[1,6,7,8,10,12,14],[2,3,6,8,9,12,13],[2,3,7,8,9,10,14],[2,4,5,7,10,13,14],[2,4,6,8,11,12,14],[2,4,7,9,11,12,14],[2,5,6,7,8,10,12],[2,5,9,10,11,12,13],[3,4,5,6,9,12,14],[3,4,6,8,10,11,13],[3,4,7,8,11,13,14],[3,5,6,7,11,12,13],[3,5,7,8,9,10,11],[4,5,6,9,10,13,14]]; G[6317]:=Group([(1,11)(3,12)(5,14)(6,9)]); # Design 6318: autom. group order 2, simple, residual B[6318]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,11,12,13,14],[1,2,6,7,8,11,13],[1,3,5,9,10,11,13],[1,3,7,8,9,12,14],[1,4,5,7,8,10,14],[1,4,6,7,9,11,14],[1,4,8,9,10,12,13],[1,5,6,8,11,12,14],[1,6,7,9,10,12,13],[2,3,6,8,9,12,14],[2,3,7,8,10,13,14],[2,4,5,9,12,13,14],[2,4,6,8,9,11,13],[2,4,7,10,11,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,7,12,13],[3,4,6,9,10,11,14],[3,4,7,8,11,12,13],[3,5,6,8,10,11,12],[3,5,7,9,11,13,14],[4,5,6,8,10,13,14]]; G[6318]:=Group([(2,13)(3,10)(4,9)(5,12)]); # Design 6319: autom. group order 2, simple, residual B[6319]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,11,12,13,14],[1,2,6,7,8,11,13],[1,3,5,9,10,11,13],[1,3,7,8,9,12,14],[1,4,5,7,8,10,14],[1,4,6,7,9,11,14],[1,4,8,9,10,12,13],[1,5,6,8,11,12,14],[1,6,7,9,10,12,13],[2,3,6,8,9,12,14],[2,3,7,8,10,13,14],[2,4,5,9,12,13,14],[2,4,6,8,9,11,13],[2,4,7,8,10,11,12],[2,5,6,7,9,10,12],[2,5,7,9,10,11,14],[3,4,5,6,7,12,13],[3,4,6,9,10,11,14],[3,4,7,11,12,13,14],[3,5,6,8,10,11,12],[3,5,7,8,9,11,13],[4,5,6,8,10,13,14]]; G[6319]:=Group([(2,13)(3,10)(4,9)(5,12)]); # Design 6320: autom. group order 2, simple, residual B[6320]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,11,12,13,14],[1,2,6,7,8,11,13],[1,3,5,9,10,11,13],[1,3,7,8,9,12,14],[1,4,5,7,8,10,14],[1,4,6,7,9,11,14],[1,4,8,9,10,12,13],[1,5,6,8,11,12,14],[1,6,7,9,10,12,13],[2,3,6,8,9,11,12],[2,3,7,8,10,13,14],[2,4,5,9,12,13,14],[2,4,6,8,10,12,14],[2,4,7,8,9,11,13],[2,5,6,7,9,10,12],[2,5,7,9,10,11,14],[3,4,5,6,7,12,13],[3,4,6,9,10,11,14],[3,4,7,11,12,13,14],[3,5,6,8,9,13,14],[3,5,7,8,10,11,12],[4,5,6,8,10,11,13]]; G[6320]:=Group([(2,13)(3,10)(4,9)(5,12)]); # Design 6321: autom. group order 2, simple, residual B[6321]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,11,12,13,14],[1,2,6,7,8,11,13],[1,3,5,9,10,11,13],[1,3,7,8,9,12,14],[1,4,5,7,8,10,14],[1,4,6,7,9,11,14],[1,4,8,9,10,12,13],[1,5,6,8,11,12,14],[1,6,7,9,10,12,13],[2,3,6,8,9,12,14],[2,3,7,8,10,13,14],[2,4,5,9,12,13,14],[2,4,6,8,10,11,12],[2,4,7,8,9,11,13],[2,5,6,7,9,10,12],[2,5,7,9,10,11,14],[3,4,5,6,7,12,13],[3,4,6,9,10,11,14],[3,4,7,11,12,13,14],[3,5,6,8,9,11,13],[3,5,7,8,10,11,12],[4,5,6,8,10,13,14]]; G[6321]:=Group([(2,13)(3,10)(4,9)(5,12)]); # Design 6322: autom. group order 2, simple, residual B[6322]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,7,9,12,14],[1,3,5,11,12,13,14],[1,3,7,9,10,12,13],[1,4,5,7,8,12,14],[1,4,6,10,12,13,14],[1,4,7,8,9,10,11],[1,5,6,7,8,11,13],[1,6,8,9,10,11,14],[2,3,6,7,9,11,14],[2,3,7,8,10,13,14],[2,4,5,9,10,13,14],[2,4,6,7,11,12,13],[2,4,8,9,11,12,13],[2,5,6,8,10,11,12],[2,5,7,8,10,12,14],[3,4,5,6,10,11,14],[3,4,6,8,9,12,14],[3,4,7,8,11,13,14],[3,5,6,8,9,12,13],[3,5,7,9,10,11,12],[4,5,6,7,9,10,13]]; G[6322]:=Group([(1,11)(3,12)(5,13)]); # Design 6323: autom. group order 2, simple, residual B[6323]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,9,12,14],[1,3,5,8,12,13,14],[1,3,7,8,9,10,14],[1,4,5,7,11,13,14],[1,4,6,9,10,12,13],[1,4,7,8,9,11,12],[1,5,6,7,10,11,12],[1,6,8,9,11,13,14],[2,3,6,7,9,11,13],[2,3,7,8,11,12,14],[2,4,5,9,12,13,14],[2,4,6,8,10,11,14],[2,4,7,8,9,10,13],[2,5,6,7,8,12,13],[2,5,9,10,11,12,14],[3,4,5,6,9,11,14],[3,4,6,8,11,12,13],[3,4,7,10,12,13,14],[3,5,6,8,9,10,12],[3,5,7,9,10,11,13],[4,5,6,7,8,10,14]]; G[6323]:=Group([(1,12)(3,14)(4,9)(6,11)(7,10)(8,13)]); # Design 6324: autom. group order 2, simple, residual B[6324]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,10,11,13,14],[1,2,6,7,8,11,12],[1,3,5,8,9,12,13],[1,3,7,9,12,13,14],[1,4,5,7,11,13,14],[1,4,6,9,10,12,13],[1,4,7,8,9,10,11],[1,5,6,7,8,12,14],[1,6,8,9,10,11,14],[2,3,6,7,9,11,13],[2,3,7,8,9,10,14],[2,4,5,9,11,12,14],[2,4,6,8,12,13,14],[2,4,7,8,10,12,13],[2,5,6,8,9,11,13],[2,5,7,9,10,12,14],[3,4,5,6,8,10,14],[3,4,6,9,11,12,14],[3,4,7,8,11,13,14],[3,5,6,7,10,11,12],[3,5,8,10,11,12,13],[4,5,6,7,9,10,13]]; G[6324]:=Group([(1,12)(2,11)(4,10)(9,13)]); # Design 6325: autom. group order 2, simple, residual B[6325]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,9,11,12],[1,3,5,8,9,12,14],[1,3,7,8,12,13,14],[1,4,5,7,11,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,11,14],[1,5,6,7,9,12,13],[1,6,8,9,10,11,13],[2,3,6,7,8,11,14],[2,3,7,9,10,13,14],[2,4,5,11,12,13,14],[2,4,6,9,12,13,14],[2,4,7,8,9,10,12],[2,5,6,8,9,11,14],[2,5,7,8,10,12,13],[3,4,5,6,9,10,13],[3,4,6,8,11,12,13],[3,4,7,8,9,11,13],[3,5,6,7,10,11,12],[3,5,9,10,11,12,14],[4,5,6,7,8,10,14]]; G[6325]:=Group([(1,12)(2,11)(4,10)(8,14)]); # Design 6326: autom. group order 2, simple, residual B[6326]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,13,14],[1,2,6,7,9,11,14],[1,3,5,11,12,13,14],[1,3,7,9,11,12,13],[1,4,5,7,8,12,14],[1,4,6,10,11,13,14],[1,4,7,8,9,10,11],[1,5,6,8,9,12,13],[1,6,7,8,10,12,14],[2,3,6,7,9,12,14],[2,3,7,8,10,13,14],[2,4,5,7,11,13,14],[2,4,6,8,11,12,13],[2,4,8,9,12,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,11,12],[3,4,5,6,10,12,14],[3,4,6,8,9,11,14],[3,4,7,9,10,12,13],[3,5,6,7,8,11,13],[3,5,8,9,10,11,14],[4,5,6,7,9,10,13]]; G[6326]:=Group([(1,11)(3,12)(4,10)(7,9)]); # Design 6327: autom. group order 2, simple B[6327]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,7,8,12,13],[1,3,5,10,11,12,14],[1,3,7,9,11,12,13],[1,4,5,7,12,13,14],[1,4,6,8,9,10,12],[1,4,7,8,9,10,14],[1,5,6,9,11,13,14],[1,6,7,8,10,11,14],[2,3,6,7,9,12,14],[2,3,8,9,10,13,14],[2,4,5,7,10,13,14],[2,4,6,9,11,12,14],[2,4,8,11,12,13,14],[2,5,6,7,9,10,11],[2,5,7,8,10,11,12],[3,4,5,6,8,11,14],[3,4,6,7,8,11,13],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[3,5,7,8,9,12,14],[4,5,6,9,10,12,13]]; G[6327]:=Group([(1,12)(3,11)(5,14)(6,8)(7,13)]); # Design 6328: autom. group order 2, simple, residual B[6328]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,10,11,13,14],[1,2,6,7,8,12,13],[1,3,5,8,11,12,14],[1,3,7,9,12,13,14],[1,4,5,7,9,10,12],[1,4,6,9,12,13,14],[1,4,7,8,10,11,13],[1,5,6,8,9,11,14],[1,6,7,8,9,10,11],[2,3,6,8,9,10,12],[2,3,7,8,9,11,13],[2,4,5,7,8,13,14],[2,4,6,8,11,12,14],[2,4,7,9,11,12,14],[2,5,6,7,9,10,14],[2,5,9,10,11,12,13],[3,4,5,6,9,11,13],[3,4,6,7,10,11,14],[3,4,8,9,10,13,14],[3,5,6,7,11,12,13],[3,5,7,8,10,12,14],[4,5,6,8,10,12,13]]; G[6328]:=Group([(1,11)(3,12)(5,14)(6,9)]); # Design 6329: autom. group order 2, simple, residual B[6329]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,13,14],[1,2,6,7,8,11,13],[1,3,5,9,11,12,14],[1,3,7,9,10,11,13],[1,4,5,7,12,13,14],[1,4,6,8,9,10,12],[1,4,8,11,12,13,14],[1,5,6,7,9,10,12],[1,6,7,8,9,11,14],[2,3,6,9,12,13,14],[2,3,7,8,9,12,14],[2,4,5,7,9,11,13],[2,4,6,9,11,12,13],[2,4,7,8,9,10,14],[2,5,6,8,10,11,12],[2,5,7,10,11,12,14],[3,4,5,6,8,11,14],[3,4,6,7,10,11,14],[3,4,7,8,10,12,13],[3,5,6,7,8,12,13],[3,5,8,9,10,11,13],[4,5,6,9,10,13,14]]; G[6329]:=Group([(1,11)(3,12)(4,10)(7,8)(9,14)]); # Design 6330: autom. group order 2, simple B[6330]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,13,14],[1,2,6,7,8,11,13],[1,3,5,9,11,12,14],[1,3,7,8,11,12,13],[1,4,5,7,12,13,14],[1,4,6,9,10,11,14],[1,4,8,9,10,12,13],[1,5,6,7,9,10,12],[1,6,7,8,9,11,14],[2,3,6,9,12,13,14],[2,3,7,8,9,12,14],[2,4,5,7,9,11,13],[2,4,6,9,11,12,13],[2,4,7,8,9,10,14],[2,5,6,8,10,11,12],[2,5,7,10,11,12,14],[3,4,5,6,8,11,14],[3,4,6,7,8,10,12],[3,4,7,10,11,13,14],[3,5,6,7,9,10,13],[3,5,8,9,10,11,13],[4,5,6,8,12,13,14]]; G[6330]:=Group([(1,11)(3,12)(4,10)(7,8)(9,14)]); # Design 6331: autom. group order 2, simple B[6331]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,13,14],[1,2,6,7,8,11,13],[1,3,5,9,11,12,14],[1,3,7,8,11,12,13],[1,4,5,7,12,13,14],[1,4,6,8,9,10,12],[1,4,9,10,11,13,14],[1,5,6,7,9,10,12],[1,6,7,8,9,11,14],[2,3,6,9,12,13,14],[2,3,7,8,9,12,14],[2,4,5,7,9,11,13],[2,4,6,9,11,12,13],[2,4,7,8,9,10,14],[2,5,6,8,10,11,12],[2,5,7,10,11,12,14],[3,4,5,6,8,11,14],[3,4,6,7,10,11,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,13],[3,5,8,9,10,11,13],[4,5,6,8,12,13,14]]; G[6331]:=Group([(1,11)(3,12)(4,10)(7,8)(9,14)]); # Design 6332: autom. group order 2, simple, residual B[6332]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,12,13],[1,3,5,9,11,12,14],[1,3,7,8,9,11,13],[1,4,5,7,10,12,14],[1,4,6,8,9,12,13],[1,4,8,10,12,13,14],[1,5,6,7,8,10,11],[1,6,7,9,10,11,14],[2,3,6,8,9,10,14],[2,3,7,10,11,12,13],[2,4,5,9,10,11,13],[2,4,6,7,8,11,12],[2,4,7,8,9,10,14],[2,5,6,8,11,12,14],[2,5,7,9,12,13,14],[3,4,5,6,7,13,14],[3,4,6,9,11,12,14],[3,4,7,8,11,13,14],[3,5,6,8,10,12,13],[3,5,7,8,9,10,12],[4,5,6,9,10,11,13]]; G[6332]:=Group([(1,7)(3,12)(4,13)(5,9)(8,14)(10,11)]); # Design 6333: autom. group order 2, simple B[6333]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,12,13],[1,3,5,8,9,10,12],[1,3,7,9,12,13,14],[1,4,5,9,11,13,14],[1,4,6,7,8,11,13],[1,4,7,8,10,12,14],[1,5,6,7,10,11,12],[1,6,8,9,10,11,14],[2,3,6,8,11,12,13],[2,3,7,8,10,11,14],[2,4,5,7,11,12,14],[2,4,6,8,9,12,14],[2,4,7,8,9,10,13],[2,5,6,7,9,10,14],[2,5,9,10,11,12,13],[3,4,5,6,10,13,14],[3,4,6,9,11,12,14],[3,4,7,9,10,11,13],[3,5,6,7,8,9,11],[3,5,7,8,12,13,14],[4,5,6,8,10,12,13]]; G[6333]:=Group([(1,5)(2,8)(4,9)(6,12)(7,10)]); # Design 6334: autom. group order 2, simple B[6334]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,12,13],[1,3,5,8,9,10,12],[1,3,7,9,12,13,14],[1,4,5,9,11,13,14],[1,4,6,7,8,11,13],[1,4,7,8,10,12,14],[1,5,6,7,10,11,12],[1,6,8,9,10,11,14],[2,3,6,8,11,12,14],[2,3,7,8,10,11,13],[2,4,5,7,11,12,14],[2,4,6,8,9,12,14],[2,4,7,8,9,10,13],[2,5,6,7,9,10,14],[2,5,9,10,11,12,13],[3,4,5,6,10,13,14],[3,4,6,9,11,12,13],[3,4,7,9,10,11,14],[3,5,6,7,8,9,11],[3,5,7,8,12,13,14],[4,5,6,8,10,12,13]]; G[6334]:=Group([(1,5)(2,8)(4,9)(6,12)(7,10)]); # Design 6335: autom. group order 2, simple B[6335]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,12,13],[1,3,5,8,9,10,12],[1,3,7,9,12,13,14],[1,4,5,9,11,13,14],[1,4,6,7,8,11,14],[1,4,7,8,10,12,14],[1,5,6,7,10,11,12],[1,6,8,9,10,11,13],[2,3,6,8,11,12,13],[2,3,7,8,10,11,14],[2,4,5,7,11,12,13],[2,4,6,8,9,12,14],[2,4,7,8,9,10,13],[2,5,6,7,9,10,14],[2,5,9,10,11,12,14],[3,4,5,6,10,13,14],[3,4,6,9,11,12,14],[3,4,7,9,10,11,13],[3,5,6,7,8,9,11],[3,5,7,8,12,13,14],[4,5,6,8,10,12,13]]; G[6335]:=Group([(1,5)(2,8)(4,9)(6,12)(7,10)]); # Design 6336: autom. group order 2, simple B[6336]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,12,13],[1,3,5,8,9,10,12],[1,3,7,9,12,13,14],[1,4,5,9,11,13,14],[1,4,6,7,8,11,14],[1,4,7,8,10,12,14],[1,5,6,7,10,11,12],[1,6,8,9,10,11,13],[2,3,6,8,11,12,14],[2,3,7,8,10,11,13],[2,4,5,7,11,12,13],[2,4,6,8,9,12,14],[2,4,7,8,9,10,13],[2,5,6,7,9,10,14],[2,5,9,10,11,12,14],[3,4,5,6,10,13,14],[3,4,6,9,11,12,13],[3,4,7,9,10,11,14],[3,5,6,7,8,9,11],[3,5,7,8,12,13,14],[4,5,6,8,10,12,13]]; G[6336]:=Group([(1,5)(2,8)(4,9)(6,12)(7,10)]); # Design 6337: autom. group order 2, simple B[6337]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,10,11],[1,2,6,7,8,13,14],[1,3,5,9,12,13,14],[1,3,7,8,11,12,13],[1,4,5,8,12,13,14],[1,4,6,7,9,10,13],[1,4,7,9,11,12,14],[1,5,6,7,10,11,12],[1,6,8,9,10,11,14],[2,3,6,9,11,12,13],[2,3,7,9,10,12,14],[2,4,5,10,11,13,14],[2,4,6,8,11,12,14],[2,4,7,8,10,12,13],[2,5,6,7,8,9,12],[2,5,7,9,11,13,14],[3,4,5,6,7,11,14],[3,4,6,8,9,11,13],[3,4,7,8,9,10,14],[3,5,6,8,10,12,14],[3,5,7,8,10,11,13],[4,5,6,9,10,12,13]]; G[6337]:=Group([(1,5)(3,9)(4,8)(6,11)(7,10)]); # Design 6338: autom. group order 2, simple B[6338]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,10,11],[1,2,6,7,8,13,14],[1,3,5,9,12,13,14],[1,3,7,8,11,12,13],[1,4,5,8,12,13,14],[1,4,6,7,9,10,14],[1,4,7,9,11,12,14],[1,5,6,7,10,11,12],[1,6,8,9,10,11,13],[2,3,6,9,11,12,13],[2,3,7,9,10,12,14],[2,4,5,10,11,13,14],[2,4,6,8,11,12,14],[2,4,7,8,10,12,13],[2,5,6,7,8,9,12],[2,5,7,9,11,13,14],[3,4,5,6,7,11,13],[3,4,6,8,9,11,14],[3,4,7,8,9,10,13],[3,5,6,8,10,12,14],[3,5,7,8,10,11,14],[4,5,6,9,10,12,13]]; G[6338]:=Group([(1,5)(3,9)(4,8)(6,11)(7,10)]); # Design 6339: autom. group order 2, simple B[6339]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,10,11],[1,2,6,7,8,13,14],[1,3,5,9,12,13,14],[1,3,7,8,11,12,13],[1,4,5,8,12,13,14],[1,4,6,7,9,10,14],[1,4,7,9,11,12,14],[1,5,6,7,10,11,12],[1,6,8,9,10,11,13],[2,3,6,9,11,12,14],[2,3,7,9,10,12,13],[2,4,5,10,11,13,14],[2,4,6,8,11,12,13],[2,4,7,8,10,12,14],[2,5,6,7,8,9,12],[2,5,7,9,11,13,14],[3,4,5,6,7,11,13],[3,4,6,8,9,11,14],[3,4,7,8,9,10,13],[3,5,6,8,10,12,14],[3,5,7,8,10,11,14],[4,5,6,9,10,12,13]]; G[6339]:=Group([(1,5)(3,9)(4,8)(6,11)(7,10)]); # Design 6340: autom. group order 2, simple B[6340]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,12,13],[1,2,6,7,9,10,11],[1,3,5,9,10,13,14],[1,3,7,9,11,13,14],[1,4,5,8,9,12,14],[1,4,6,7,8,12,13],[1,4,7,8,10,11,14],[1,5,6,7,10,12,14],[1,6,8,9,11,12,13],[2,3,6,8,11,12,14],[2,3,7,8,9,10,12],[2,4,5,11,12,13,14],[2,4,6,9,10,13,14],[2,4,7,8,10,13,14],[2,5,6,7,9,12,14],[2,5,7,8,9,11,13],[3,4,5,6,7,11,13],[3,4,6,9,10,12,13],[3,4,7,9,11,12,14],[3,5,6,8,10,11,14],[3,5,7,8,10,12,13],[4,5,6,8,9,10,11]]; G[6340]:=Group([(1,13)(3,14)(5,10)(6,8)]); # Design 6341: autom. group order 2, simple, residual B[6341]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,7,8,12,13],[1,3,5,10,11,12,14],[1,3,8,9,12,13,14],[1,4,5,7,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,9,10,14],[1,5,6,7,9,11,12],[1,6,7,8,10,11,14],[2,3,6,7,9,12,14],[2,3,7,9,10,11,13],[2,4,5,7,10,13,14],[2,4,6,9,11,12,14],[2,4,8,11,12,13,14],[2,5,6,8,9,10,14],[2,5,7,8,10,11,12],[3,4,5,6,8,11,14],[3,4,6,7,8,11,13],[3,4,7,8,9,10,12],[3,5,6,8,10,12,13],[3,5,7,9,11,13,14],[4,5,6,9,10,12,13]]; G[6341]:=Group([(1,12)(3,11)(5,14)(6,8)(7,13)]); # Design 6342: autom. group order 2, simple B[6342]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,9,11,12],[1,3,5,8,9,12,14],[1,3,9,11,12,13,14],[1,4,5,7,9,13,14],[1,4,6,8,10,11,14],[1,4,7,8,10,12,13],[1,5,6,7,10,12,14],[1,6,7,8,9,11,13],[2,3,6,7,8,12,14],[2,3,7,8,11,13,14],[2,4,5,11,12,13,14],[2,4,6,8,9,12,13],[2,4,7,8,9,10,14],[2,5,6,9,10,13,14],[2,5,7,9,10,11,12],[3,4,5,6,7,11,13],[3,4,6,9,10,12,13],[3,4,7,9,10,11,14],[3,5,6,8,9,10,11],[3,5,7,8,10,12,13],[4,5,6,8,11,12,14]]; G[6342]:=Group([(1,5)(2,8)(4,9)(6,12)(7,14)]); # Design 6343: autom. group order 2, simple B[6343]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,9,11,12],[1,3,5,8,9,12,14],[1,3,9,11,12,13,14],[1,4,5,7,9,13,14],[1,4,6,8,10,13,14],[1,4,7,8,10,11,12],[1,5,6,7,10,12,14],[1,6,7,8,9,11,13],[2,3,6,7,8,12,14],[2,3,7,8,11,13,14],[2,4,5,11,12,13,14],[2,4,6,8,9,12,13],[2,4,7,8,9,10,14],[2,5,6,9,10,11,14],[2,5,7,9,10,12,13],[3,4,5,6,7,11,13],[3,4,6,9,10,12,13],[3,4,7,9,10,11,14],[3,5,6,8,9,10,11],[3,5,7,8,10,12,13],[4,5,6,8,11,12,14]]; G[6343]:=Group([(1,5)(2,8)(4,9)(6,12)(7,14)]); # Design 6344: autom. group order 2, simple B[6344]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,9,11,12],[1,3,5,8,9,12,14],[1,3,9,11,12,13,14],[1,4,5,7,9,13,14],[1,4,6,8,10,11,14],[1,4,7,8,11,12,13],[1,5,6,7,10,12,14],[1,6,7,8,9,10,13],[2,3,6,7,8,12,14],[2,3,7,8,11,13,14],[2,4,5,10,12,13,14],[2,4,6,8,9,12,13],[2,4,7,8,9,10,14],[2,5,6,9,11,13,14],[2,5,7,9,10,11,12],[3,4,5,6,7,11,13],[3,4,6,9,10,12,13],[3,4,7,9,10,11,14],[3,5,6,8,9,10,11],[3,5,7,8,10,12,13],[4,5,6,8,11,12,14]]; G[6344]:=Group([(1,5)(2,8)(4,9)(6,12)(7,14)]); # Design 6345: autom. group order 2, simple B[6345]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,9,11,12],[1,3,5,8,9,12,14],[1,3,9,11,12,13,14],[1,4,5,7,9,13,14],[1,4,6,8,10,13,14],[1,4,7,8,11,12,13],[1,5,6,7,10,12,14],[1,6,7,8,9,10,11],[2,3,6,7,8,12,14],[2,3,7,8,11,13,14],[2,4,5,10,11,12,14],[2,4,6,8,9,12,13],[2,4,7,8,9,10,14],[2,5,6,9,11,13,14],[2,5,7,9,10,12,13],[3,4,5,6,7,11,13],[3,4,6,9,10,12,13],[3,4,7,9,10,11,14],[3,5,6,8,9,10,11],[3,5,7,8,10,12,13],[4,5,6,8,11,12,14]]; G[6345]:=Group([(1,5)(2,8)(4,9)(6,12)(7,14)]); # Design 6346: autom. group order 2, simple B[6346]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,9,11,12],[1,3,5,8,9,12,14],[1,3,9,11,12,13,14],[1,4,5,7,9,13,14],[1,4,6,8,11,13,14],[1,4,7,8,10,11,12],[1,5,6,7,10,12,14],[1,6,7,8,9,10,13],[2,3,6,7,8,12,14],[2,3,7,8,11,13,14],[2,4,5,10,12,13,14],[2,4,6,8,9,12,13],[2,4,7,8,9,10,14],[2,5,6,9,10,11,14],[2,5,7,9,11,12,13],[3,4,5,6,7,11,13],[3,4,6,9,10,12,13],[3,4,7,9,10,11,14],[3,5,6,8,9,10,11],[3,5,7,8,10,12,13],[4,5,6,8,11,12,14]]; G[6346]:=Group([(1,5)(2,8)(4,9)(6,12)(7,14)]); # Design 6347: autom. group order 2, simple B[6347]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,9,11,12],[1,3,5,8,9,12,14],[1,3,9,11,12,13,14],[1,4,5,7,9,13,14],[1,4,6,8,11,13,14],[1,4,7,8,10,12,13],[1,5,6,7,10,12,14],[1,6,7,8,9,10,11],[2,3,6,7,8,12,14],[2,3,7,8,11,13,14],[2,4,5,10,11,12,14],[2,4,6,8,9,12,13],[2,4,7,8,9,10,14],[2,5,6,9,10,13,14],[2,5,7,9,11,12,13],[3,4,5,6,7,11,13],[3,4,6,9,10,12,13],[3,4,7,9,10,11,14],[3,5,6,8,9,10,11],[3,5,7,8,10,12,13],[4,5,6,8,11,12,14]]; G[6347]:=Group([(1,5)(2,8)(4,9)(6,12)(7,14)]); # Design 6348: autom. group order 2, simple B[6348]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,12,14],[1,2,6,8,9,12,14],[1,3,5,7,9,13,14],[1,3,7,8,11,12,13],[1,4,5,7,12,13,14],[1,4,6,8,10,13,14],[1,4,9,10,11,13,14],[1,5,6,7,9,10,11],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,5,8,9,11,13],[2,4,6,7,9,11,14],[2,4,7,9,10,12,13],[2,5,6,7,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,11,12,14],[3,4,6,7,8,10,14],[3,4,7,8,9,10,12],[3,5,6,8,9,10,13],[3,5,9,10,11,12,14],[4,5,6,8,11,12,13]]; G[6348]:=Group([(2,14)(3,13)(5,10)(6,9)(7,11)]); # Design 6349: autom. group order 2, simple, residual B[6349]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,12,14],[1,2,6,8,9,12,14],[1,3,5,7,9,13,14],[1,3,7,8,11,12,13],[1,4,5,7,12,13,14],[1,4,6,8,10,13,14],[1,4,9,10,11,13,14],[1,5,6,7,9,10,11],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,5,8,9,11,13],[2,4,6,7,9,11,14],[2,4,7,9,10,12,13],[2,5,6,7,8,10,13],[2,5,7,10,11,12,14],[3,4,5,6,11,12,14],[3,4,6,7,8,10,14],[3,4,7,8,9,10,12],[3,5,6,9,10,12,13],[3,5,8,9,10,11,14],[4,5,6,8,11,12,13]]; G[6349]:=Group([(2,14)(3,13)(5,10)(6,9)(7,11)]); # Design 6350: autom. group order 2, simple, residual B[6350]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,12],[1,2,6,9,11,13,14],[1,3,5,7,12,13,14],[1,3,7,9,10,11,13],[1,4,5,8,12,13,14],[1,4,6,7,9,11,12],[1,4,7,8,9,10,13],[1,5,6,7,8,11,14],[1,6,8,9,10,12,14],[2,3,6,7,8,12,13],[2,3,8,9,11,12,14],[2,4,5,9,10,13,14],[2,4,6,7,8,10,14],[2,4,7,11,12,13,14],[2,5,6,7,9,10,12],[2,5,7,8,9,11,13],[3,4,5,6,9,11,14],[3,4,6,8,9,12,13],[3,4,7,8,10,11,14],[3,5,6,8,10,11,13],[3,5,7,9,10,12,14],[4,5,6,10,11,12,13]]; G[6350]:=Group([(1,13)(2,6)(4,8)(5,12)]); # Design 6351: autom. group order 2, simple, residual B[6351]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,12],[1,2,6,9,11,13,14],[1,3,5,7,12,13,14],[1,3,7,9,10,11,13],[1,4,5,8,12,13,14],[1,4,6,7,11,12,14],[1,4,7,8,9,10,13],[1,5,6,7,8,9,11],[1,6,8,9,10,12,14],[2,3,6,7,8,12,13],[2,3,8,9,11,12,14],[2,4,5,9,10,13,14],[2,4,6,7,8,10,14],[2,4,7,9,11,12,13],[2,5,6,7,9,10,12],[2,5,7,8,11,13,14],[3,4,5,6,9,11,14],[3,4,6,8,9,12,13],[3,4,7,8,10,11,14],[3,5,6,8,10,11,13],[3,5,7,9,10,12,14],[4,5,6,10,11,12,13]]; G[6351]:=Group([(1,13)(2,6)(4,8)(5,12)]); # Design 6352: autom. group order 2, simple, residual B[6352]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,12],[1,2,6,9,11,13,14],[1,3,5,7,12,13,14],[1,3,7,9,10,11,13],[1,4,5,8,12,13,14],[1,4,6,7,11,12,14],[1,4,7,8,9,11,13],[1,5,6,7,8,9,10],[1,6,8,9,10,12,14],[2,3,6,7,8,12,13],[2,3,8,9,11,12,14],[2,4,5,9,10,13,14],[2,4,6,7,8,10,14],[2,4,7,9,10,12,13],[2,5,6,7,9,11,12],[2,5,7,8,11,13,14],[3,4,5,6,9,11,14],[3,4,6,8,9,12,13],[3,4,7,8,10,11,14],[3,5,6,8,10,11,13],[3,5,7,9,10,12,14],[4,5,6,10,11,12,13]]; G[6352]:=Group([(1,13)(2,6)(4,8)(5,12)]); # Design 6353: autom. group order 2, simple, residual B[6353]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,10,11,12,14],[1,3,5,7,11,13,14],[1,3,7,8,12,13,14],[1,4,5,9,10,12,14],[1,4,6,7,8,10,14],[1,4,7,9,10,11,13],[1,5,6,7,8,9,12],[1,6,8,9,11,12,13],[2,3,6,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,8,12,13,14],[2,4,6,7,9,12,13],[2,4,7,8,11,12,14],[2,5,6,7,10,13,14],[2,5,7,8,9,10,11],[3,4,5,6,11,12,13],[3,4,6,7,9,11,14],[3,4,8,9,10,13,14],[3,5,6,9,10,12,14],[3,5,7,8,10,11,12],[4,5,6,8,10,11,13]]; G[6353]:=Group([(1,14)(2,9)(4,6)(5,11)]); # Design 6354: autom. group order 2, simple, residual B[6354]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,10,11,12,14],[1,3,5,7,11,13,14],[1,3,7,8,12,13,14],[1,4,5,9,10,12,14],[1,4,6,7,8,12,14],[1,4,7,9,10,11,13],[1,5,6,7,8,9,10],[1,6,8,9,11,12,13],[2,3,6,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,8,12,13,14],[2,4,6,7,9,12,13],[2,4,7,8,10,11,14],[2,5,6,7,10,13,14],[2,5,7,8,9,11,12],[3,4,5,6,11,12,13],[3,4,6,7,9,11,14],[3,4,8,9,10,13,14],[3,5,6,9,10,12,14],[3,5,7,8,10,11,12],[4,5,6,8,10,11,13]]; G[6354]:=Group([(1,14)(2,9)(4,6)(5,11)]); # Design 6355: autom. group order 2, simple, residual B[6355]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,12],[1,2,6,9,11,13,14],[1,3,5,7,12,13,14],[1,3,7,9,10,11,13],[1,4,5,8,12,13,14],[1,4,6,7,9,10,12],[1,4,7,8,9,11,13],[1,5,6,8,9,10,14],[1,6,7,8,11,12,14],[2,3,6,7,8,12,13],[2,3,8,9,11,12,14],[2,4,5,7,11,13,14],[2,4,6,7,8,10,14],[2,4,9,10,12,13,14],[2,5,6,7,9,11,12],[2,5,7,8,9,10,13],[3,4,5,6,9,11,14],[3,4,6,8,9,12,13],[3,4,7,8,10,11,14],[3,5,6,8,10,11,13],[3,5,7,9,10,12,14],[4,5,6,10,11,12,13]]; G[6355]:=Group([(1,13)(2,6)(4,8)(5,12)]); # Design 6356: autom. group order 2, simple, residual B[6356]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,12],[1,2,6,9,11,13,14],[1,3,5,7,12,13,14],[1,3,7,9,10,11,13],[1,4,5,8,12,13,14],[1,4,6,7,9,11,12],[1,4,7,8,9,10,13],[1,5,6,8,9,10,14],[1,6,7,8,11,12,14],[2,3,6,7,8,12,13],[2,3,8,9,11,12,14],[2,4,5,7,11,13,14],[2,4,6,7,8,10,14],[2,4,9,10,12,13,14],[2,5,6,7,9,10,12],[2,5,7,8,9,11,13],[3,4,5,6,9,11,14],[3,4,6,8,9,12,13],[3,4,7,8,10,11,14],[3,5,6,8,10,11,13],[3,5,7,9,10,12,14],[4,5,6,10,11,12,13]]; G[6356]:=Group([(1,13)(2,6)(4,8)(5,12)]); # Design 6357: autom. group order 2, simple, residual B[6357]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,12],[1,2,6,9,11,13,14],[1,3,5,7,12,13,14],[1,3,7,9,10,11,13],[1,4,5,8,12,13,14],[1,4,6,7,11,12,14],[1,4,7,8,9,10,13],[1,5,6,8,9,10,14],[1,6,7,8,9,11,12],[2,3,6,7,8,12,13],[2,3,8,9,11,12,14],[2,4,5,7,9,11,13],[2,4,6,7,8,10,14],[2,4,9,10,12,13,14],[2,5,6,7,9,10,12],[2,5,7,8,11,13,14],[3,4,5,6,9,11,14],[3,4,6,8,9,12,13],[3,4,7,8,10,11,14],[3,5,6,8,10,11,13],[3,5,7,9,10,12,14],[4,5,6,10,11,12,13]]; G[6357]:=Group([(1,13)(2,6)(4,8)(5,12)]); # Design 6358: autom. group order 2, simple, residual B[6358]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,12],[1,2,6,9,11,13,14],[1,3,5,7,12,13,14],[1,3,7,9,10,11,13],[1,4,5,8,12,13,14],[1,4,6,7,11,12,14],[1,4,7,8,9,11,13],[1,5,6,8,9,10,14],[1,6,7,8,9,10,12],[2,3,6,7,8,12,13],[2,3,8,9,11,12,14],[2,4,5,7,9,10,13],[2,4,6,7,8,10,14],[2,4,9,10,12,13,14],[2,5,6,7,9,11,12],[2,5,7,8,11,13,14],[3,4,5,6,9,11,14],[3,4,6,8,9,12,13],[3,4,7,8,10,11,14],[3,5,6,8,10,11,13],[3,5,7,9,10,12,14],[4,5,6,10,11,12,13]]; G[6358]:=Group([(1,13)(2,6)(4,8)(5,12)]); # Design 6359: autom. group order 2, simple, residual B[6359]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,10,11,12,14],[1,3,5,7,11,13,14],[1,3,7,8,12,13,14],[1,4,5,9,10,12,14],[1,4,6,7,8,10,14],[1,4,7,9,10,11,13],[1,5,6,8,9,12,13],[1,6,7,8,9,11,12],[2,3,6,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,7,8,12,14],[2,4,6,7,9,12,13],[2,4,8,11,12,13,14],[2,5,6,7,10,13,14],[2,5,7,8,9,10,11],[3,4,5,6,11,12,13],[3,4,6,7,9,11,14],[3,4,8,9,10,13,14],[3,5,6,9,10,12,14],[3,5,7,8,10,11,12],[4,5,6,8,10,11,13]]; G[6359]:=Group([(1,14)(2,9)(4,6)(5,11)]); # Design 6360: autom. group order 2, simple, residual B[6360]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,10,11,12,14],[1,3,5,7,11,13,14],[1,3,7,8,12,13,14],[1,4,5,9,10,12,14],[1,4,6,7,8,12,14],[1,4,7,9,10,11,13],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,7,8,10,14],[2,4,6,7,9,12,13],[2,4,8,11,12,13,14],[2,5,6,7,10,13,14],[2,5,7,8,9,11,12],[3,4,5,6,11,12,13],[3,4,6,7,9,11,14],[3,4,8,9,10,13,14],[3,5,6,9,10,12,14],[3,5,7,8,10,11,12],[4,5,6,8,10,11,13]]; G[6360]:=Group([(1,14)(2,9)(4,6)(5,11)]); # Design 6361: autom. group order 2, simple, residual B[6361]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,12,14],[1,2,6,9,11,13,14],[1,3,5,7,12,13,14],[1,3,7,9,10,11,14],[1,4,5,8,12,13,14],[1,4,6,7,9,10,12],[1,4,8,9,10,13,14],[1,5,6,7,8,9,11],[1,6,7,8,11,12,13],[2,3,6,7,8,12,14],[2,3,8,9,11,12,13],[2,4,5,7,9,11,13],[2,4,6,7,10,13,14],[2,4,7,8,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,11,13,14],[3,4,6,9,11,12,14],[3,4,7,8,10,11,13],[3,5,6,8,9,10,14],[3,5,7,9,10,12,13],[4,5,6,8,10,11,12]]; G[6361]:=Group([(1,14)(3,7)(4,8)(5,12)]); # Design 6362: autom. group order 2, simple, residual B[6362]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,12,14],[1,2,6,9,11,13,14],[1,3,5,7,12,13,14],[1,3,7,9,10,11,14],[1,4,5,8,12,13,14],[1,4,6,7,9,11,12],[1,4,8,9,10,13,14],[1,5,6,7,8,9,10],[1,6,7,8,11,12,13],[2,3,6,7,8,12,14],[2,3,8,9,11,12,13],[2,4,5,7,9,11,13],[2,4,6,7,10,13,14],[2,4,7,8,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,11,13,14],[3,4,6,9,10,12,14],[3,4,7,8,10,11,13],[3,5,6,8,9,11,14],[3,5,7,9,10,12,13],[4,5,6,8,10,11,12]]; G[6362]:=Group([(1,14)(3,7)(4,8)(5,12)]); # Design 6363: autom. group order 2, simple, residual B[6363]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,12,14],[1,2,6,9,11,13,14],[1,3,5,7,12,13,14],[1,3,7,9,10,11,14],[1,4,5,8,12,13,14],[1,4,6,7,9,10,12],[1,4,8,9,10,13,14],[1,5,6,7,8,11,13],[1,6,7,8,9,11,12],[2,3,6,7,8,12,14],[2,3,8,9,11,12,13],[2,4,5,7,9,11,13],[2,4,6,7,10,13,14],[2,4,7,8,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,9,11,14],[3,4,6,11,12,13,14],[3,4,7,8,10,11,13],[3,5,6,8,9,10,14],[3,5,7,9,10,12,13],[4,5,6,8,10,11,12]]; G[6363]:=Group([(1,14)(3,7)(4,8)(5,12)]); # Design 6364: autom. group order 2, simple, residual B[6364]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,12,14],[1,2,6,9,11,13,14],[1,3,5,7,12,13,14],[1,3,7,9,10,11,14],[1,4,5,8,12,13,14],[1,4,6,7,9,11,12],[1,4,8,9,10,13,14],[1,5,6,7,8,11,13],[1,6,7,8,9,10,12],[2,3,6,7,8,12,14],[2,3,8,9,11,12,13],[2,4,5,7,9,11,13],[2,4,6,7,10,13,14],[2,4,7,8,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,9,10,14],[3,4,6,11,12,13,14],[3,4,7,8,10,11,13],[3,5,6,8,9,11,14],[3,5,7,9,10,12,13],[4,5,6,8,10,11,12]]; G[6364]:=Group([(1,14)(3,7)(4,8)(5,12)]); # Design 6365: autom. group order 2, simple, residual B[6365]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,12,14],[1,2,6,9,11,13,14],[1,3,5,7,12,13,14],[1,3,7,9,10,11,14],[1,4,5,8,12,13,14],[1,4,6,7,11,12,13],[1,4,8,9,10,13,14],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,8,12,14],[2,3,8,9,11,12,13],[2,4,5,7,9,11,13],[2,4,6,7,10,13,14],[2,4,7,8,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,9,11,14],[3,4,6,9,10,12,14],[3,4,7,8,10,11,13],[3,5,6,8,11,13,14],[3,5,7,9,10,12,13],[4,5,6,8,10,11,12]]; G[6365]:=Group([(1,14)(3,7)(4,8)(5,12)]); # Design 6366: autom. group order 2, simple, residual B[6366]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,12,14],[1,2,6,9,11,13,14],[1,3,5,7,12,13,14],[1,3,7,9,10,11,14],[1,4,5,8,12,13,14],[1,4,6,7,11,12,13],[1,4,8,9,10,13,14],[1,5,6,7,8,9,11],[1,6,7,8,9,10,12],[2,3,6,7,8,12,14],[2,3,8,9,11,12,13],[2,4,5,7,9,11,13],[2,4,6,7,10,13,14],[2,4,7,8,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,9,10,14],[3,4,6,9,11,12,14],[3,4,7,8,10,11,13],[3,5,6,8,11,13,14],[3,5,7,9,10,12,13],[4,5,6,8,10,11,12]]; G[6366]:=Group([(1,14)(3,7)(4,8)(5,12)]); # Design 6367: autom. group order 2, simple B[6367]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,8,12,13,14],[1,3,5,7,9,13,14],[1,3,7,8,10,11,12],[1,4,5,8,10,12,14],[1,4,6,7,9,10,14],[1,4,9,11,12,13,14],[1,5,6,7,11,12,13],[1,6,7,8,9,10,11],[2,3,6,9,11,12,14],[2,3,7,9,10,12,13],[2,4,5,7,11,12,14],[2,4,6,7,8,11,13],[2,4,7,8,10,13,14],[2,5,6,8,9,10,12],[2,5,7,9,10,11,14],[3,4,5,6,10,11,13],[3,4,6,8,9,11,14],[3,4,7,8,9,12,13],[3,5,6,7,8,12,14],[3,5,8,10,11,13,14],[4,5,6,9,10,12,13]]; G[6367]:=Group([(1,5)(3,9)(4,8)(6,11)(7,13)]); # Design 6368: autom. group order 2, simple B[6368]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,8,12,13,14],[1,3,5,7,9,13,14],[1,3,7,8,10,11,14],[1,4,5,8,10,12,14],[1,4,6,7,9,10,12],[1,4,9,11,12,13,14],[1,5,6,7,11,12,13],[1,6,7,8,9,10,11],[2,3,6,9,11,12,14],[2,3,7,9,10,12,13],[2,4,5,7,11,12,14],[2,4,6,7,8,11,13],[2,4,7,8,10,13,14],[2,5,6,8,9,10,12],[2,5,7,9,10,11,14],[3,4,5,6,10,11,13],[3,4,6,8,9,11,14],[3,4,7,8,9,12,13],[3,5,6,7,8,12,14],[3,5,8,10,11,12,13],[4,5,6,9,10,13,14]]; G[6368]:=Group([(1,5)(3,9)(4,8)(6,11)(7,13)]); # Design 6369: autom. group order 2, simple B[6369]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,8,12,13,14],[1,3,5,7,9,13,14],[1,3,7,8,10,11,12],[1,4,5,8,10,12,14],[1,4,6,7,9,12,14],[1,4,9,10,11,13,14],[1,5,6,7,11,12,13],[1,6,7,8,9,10,11],[2,3,6,9,11,12,14],[2,3,7,9,10,12,13],[2,4,5,7,11,12,14],[2,4,6,7,8,11,13],[2,4,7,8,10,13,14],[2,5,6,8,9,10,12],[2,5,7,9,10,11,14],[3,4,5,6,10,11,13],[3,4,6,8,9,11,14],[3,4,7,8,9,12,13],[3,5,6,7,8,10,14],[3,5,8,11,12,13,14],[4,5,6,9,10,12,13]]; G[6369]:=Group([(1,5)(3,9)(4,8)(6,11)(7,13)]); # Design 6370: autom. group order 2, simple B[6370]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,8,12,13,14],[1,3,5,7,9,13,14],[1,3,7,8,10,11,14],[1,4,5,8,10,12,14],[1,4,6,7,9,12,14],[1,4,9,10,11,12,13],[1,5,6,7,11,12,13],[1,6,7,8,9,10,11],[2,3,6,9,11,12,14],[2,3,7,9,10,12,13],[2,4,5,7,11,12,14],[2,4,6,7,8,11,13],[2,4,7,8,10,13,14],[2,5,6,8,9,10,12],[2,5,7,9,10,11,14],[3,4,5,6,10,11,13],[3,4,6,8,9,11,14],[3,4,7,8,9,12,13],[3,5,6,7,8,10,12],[3,5,8,11,12,13,14],[4,5,6,9,10,13,14]]; G[6370]:=Group([(1,5)(3,9)(4,8)(6,11)(7,13)]); # Design 6371: autom. group order 2, simple B[6371]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,8,12,13,14],[1,3,5,7,9,13,14],[1,3,7,8,11,12,14],[1,4,5,8,10,12,14],[1,4,6,7,9,10,12],[1,4,9,10,11,13,14],[1,5,6,7,11,12,13],[1,6,7,8,9,10,11],[2,3,6,9,11,12,14],[2,3,7,9,10,12,13],[2,4,5,7,11,12,14],[2,4,6,7,8,11,13],[2,4,7,8,10,13,14],[2,5,6,8,9,10,12],[2,5,7,9,10,11,14],[3,4,5,6,10,11,13],[3,4,6,8,9,11,14],[3,4,7,8,9,12,13],[3,5,6,7,8,10,14],[3,5,8,10,11,12,13],[4,5,6,9,12,13,14]]; G[6371]:=Group([(1,5)(3,9)(4,8)(6,11)(7,13)]); # Design 6372: autom. group order 2, simple B[6372]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,8,12,13,14],[1,3,5,7,9,13,14],[1,3,7,8,11,12,14],[1,4,5,8,10,12,14],[1,4,6,7,9,10,14],[1,4,9,10,11,12,13],[1,5,6,7,11,12,13],[1,6,7,8,9,10,11],[2,3,6,9,11,12,14],[2,3,7,9,10,12,13],[2,4,5,7,11,12,14],[2,4,6,7,8,11,13],[2,4,7,8,10,13,14],[2,5,6,8,9,10,12],[2,5,7,9,10,11,14],[3,4,5,6,10,11,13],[3,4,6,8,9,11,14],[3,4,7,8,9,12,13],[3,5,6,7,8,10,12],[3,5,8,10,11,13,14],[4,5,6,9,12,13,14]]; G[6372]:=Group([(1,5)(3,9)(4,8)(6,11)(7,13)]); # Design 6373: autom. group order 2, simple, residual B[6373]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,12,14],[1,2,6,9,11,12,13],[1,3,5,7,11,13,14],[1,3,7,9,10,13,14],[1,4,5,8,11,13,14],[1,4,6,7,10,12,14],[1,4,8,9,12,13,14],[1,5,6,7,8,9,12],[1,6,7,8,9,10,11],[2,3,6,8,12,13,14],[2,3,7,8,9,11,14],[2,4,5,7,9,10,13],[2,4,6,7,8,11,14],[2,4,7,9,11,12,13],[2,5,6,9,10,13,14],[2,5,7,8,10,12,14],[3,4,5,6,9,12,14],[3,4,6,9,10,11,14],[3,4,7,8,10,12,13],[3,5,6,7,11,12,13],[3,5,8,9,10,11,12],[4,5,6,8,10,11,13]]; G[6373]:=Group([(1,14)(3,8)(4,7)(5,11)(10,12)]); # Design 6374: autom. group order 2, simple, residual B[6374]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,9,10,11,12],[1,3,5,7,9,11,14],[1,3,7,8,9,12,14],[1,4,5,8,10,13,14],[1,4,6,9,11,13,14],[1,4,7,11,12,13,14],[1,5,6,7,8,10,13],[1,6,7,8,9,10,12],[2,3,6,7,8,11,13],[2,3,7,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,7,8,11,14],[2,4,7,8,9,12,13],[2,5,6,9,12,13,14],[2,5,8,9,10,11,14],[3,4,5,6,9,12,13],[3,4,6,8,10,12,14],[3,4,8,9,10,11,13],[3,5,6,8,11,12,14],[3,5,7,10,11,12,13],[4,5,6,7,9,10,11]]; G[6374]:=Group([(2,13)(3,14)(5,11)(7,9)(8,12)]); # Design 6375: autom. group order 2, simple B[6375]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,8,10,11,12],[1,3,5,7,11,12,14],[1,3,7,8,9,12,13],[1,4,5,9,10,13,14],[1,4,6,8,11,13,14],[1,4,7,11,12,13,14],[1,5,6,7,9,10,14],[1,6,7,8,9,10,12],[2,3,6,7,9,11,14],[2,3,7,8,10,13,14],[2,4,5,7,10,12,13],[2,4,6,7,9,11,13],[2,4,7,8,9,12,14],[2,5,6,8,12,13,14],[2,5,9,10,11,12,14],[3,4,5,6,8,12,14],[3,4,6,9,10,12,13],[3,4,8,9,10,11,14],[3,5,6,9,11,12,13],[3,5,7,8,10,11,13],[4,5,6,7,8,10,11]]; G[6375]:=Group([(2,14)(3,13)(5,11)(7,8)(9,12)]); # Design 6376: autom. group order 2, simple, residual B[6376]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,8,10,11,12],[1,3,5,7,11,12,14],[1,3,7,8,9,12,13],[1,4,5,9,10,13,14],[1,4,6,8,11,13,14],[1,4,7,11,12,13,14],[1,5,6,7,9,10,14],[1,6,7,8,9,10,12],[2,3,6,7,8,13,14],[2,3,7,9,10,11,14],[2,4,5,7,10,12,13],[2,4,6,7,9,11,13],[2,4,7,8,9,12,14],[2,5,6,9,11,12,14],[2,5,8,10,12,13,14],[3,4,5,6,8,12,14],[3,4,6,9,10,12,13],[3,4,8,9,10,11,14],[3,5,6,9,11,12,13],[3,5,7,8,10,11,13],[4,5,6,7,8,10,11]]; G[6376]:=Group([(2,14)(3,13)(5,11)(7,8)(9,12)]); # Design 6377: autom. group order 2, simple, residual B[6377]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,12],[1,2,6,9,11,13,14],[1,3,5,7,12,13,14],[1,3,7,9,10,11,13],[1,4,5,8,12,13,14],[1,4,6,9,10,12,14],[1,4,7,8,9,10,13],[1,5,6,7,8,9,11],[1,6,7,8,11,12,14],[2,3,6,7,8,12,13],[2,3,8,9,11,12,14],[2,4,5,7,11,13,14],[2,4,6,7,8,10,14],[2,4,7,9,11,12,13],[2,5,6,7,9,10,12],[2,5,8,9,10,13,14],[3,4,5,6,9,11,14],[3,4,6,8,9,12,13],[3,4,7,8,10,11,14],[3,5,6,8,10,11,13],[3,5,7,9,10,12,14],[4,5,6,10,11,12,13]]; G[6377]:=Group([(1,13)(2,6)(4,8)(5,12)]); # Design 6378: autom. group order 2, simple, residual B[6378]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,12],[1,2,6,9,11,13,14],[1,3,5,7,12,13,14],[1,3,7,9,10,11,13],[1,4,5,8,12,13,14],[1,4,6,9,10,12,14],[1,4,7,8,9,11,13],[1,5,6,7,8,9,10],[1,6,7,8,11,12,14],[2,3,6,7,8,12,13],[2,3,8,9,11,12,14],[2,4,5,7,11,13,14],[2,4,6,7,8,10,14],[2,4,7,9,10,12,13],[2,5,6,7,9,11,12],[2,5,8,9,10,13,14],[3,4,5,6,9,11,14],[3,4,6,8,9,12,13],[3,4,7,8,10,11,14],[3,5,6,8,10,11,13],[3,5,7,9,10,12,14],[4,5,6,10,11,12,13]]; G[6378]:=Group([(1,13)(2,6)(4,8)(5,12)]); # Design 6379: autom. group order 2, simple, residual B[6379]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,12],[1,2,6,9,11,13,14],[1,3,5,7,12,13,14],[1,3,7,9,10,11,13],[1,4,5,8,12,13,14],[1,4,6,9,10,12,14],[1,4,7,8,9,10,13],[1,5,6,7,8,11,14],[1,6,7,8,9,11,12],[2,3,6,7,8,12,13],[2,3,8,9,11,12,14],[2,4,5,7,9,11,13],[2,4,6,7,8,10,14],[2,4,7,11,12,13,14],[2,5,6,7,9,10,12],[2,5,8,9,10,13,14],[3,4,5,6,9,11,14],[3,4,6,8,9,12,13],[3,4,7,8,10,11,14],[3,5,6,8,10,11,13],[3,5,7,9,10,12,14],[4,5,6,10,11,12,13]]; G[6379]:=Group([(1,13)(2,6)(4,8)(5,12)]); # Design 6380: autom. group order 2, simple, residual B[6380]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,8,10,11,12],[1,3,5,7,11,12,14],[1,3,7,8,9,12,13],[1,4,5,9,10,13,14],[1,4,6,8,11,13,14],[1,4,7,11,12,13,14],[1,5,6,7,9,10,14],[1,6,7,8,9,10,12],[2,3,6,7,9,11,14],[2,3,9,10,12,13,14],[2,4,5,7,10,12,13],[2,4,6,7,9,11,13],[2,4,7,8,9,12,14],[2,5,6,8,12,13,14],[2,5,7,8,10,11,14],[3,4,5,6,8,12,14],[3,4,6,7,8,10,13],[3,4,8,9,10,11,14],[3,5,6,9,11,12,13],[3,5,7,8,10,11,13],[4,5,6,9,10,11,12]]; G[6380]:=Group([(2,14)(3,13)(5,11)(7,8)(9,12)]); # Design 6381: autom. group order 2, simple, residual B[6381]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,8,10,12,14],[1,3,5,7,11,12,14],[1,3,7,8,9,12,13],[1,4,5,8,10,13,14],[1,4,6,9,11,13,14],[1,4,7,11,12,13,14],[1,5,6,7,9,10,11],[1,6,7,8,9,10,12],[2,3,6,7,9,13,14],[2,3,9,10,11,12,13],[2,4,5,7,10,12,13],[2,4,6,7,8,11,13],[2,4,7,8,9,12,14],[2,5,6,8,11,12,14],[2,5,7,9,10,11,14],[3,4,5,6,9,12,14],[3,4,6,7,8,10,11],[3,4,8,9,10,11,14],[3,5,6,8,11,12,13],[3,5,7,8,10,13,14],[4,5,6,9,10,12,13]]; G[6381]:=Group([(2,14)(3,13)(5,11)(7,9)(8,12)]); # Design 6382: autom. group order 2, simple, residual B[6382]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,8,10,12,14],[1,3,5,7,11,12,14],[1,3,7,8,9,12,13],[1,4,5,8,10,13,14],[1,4,6,9,11,13,14],[1,4,7,11,12,13,14],[1,5,6,7,9,10,11],[1,6,7,8,9,10,12],[2,3,6,7,8,11,14],[2,3,9,10,11,12,13],[2,4,5,7,10,12,13],[2,4,6,7,8,11,13],[2,4,7,8,9,12,14],[2,5,6,9,12,13,14],[2,5,7,9,10,11,14],[3,4,5,6,9,12,14],[3,4,6,7,9,10,13],[3,4,8,9,10,11,14],[3,5,6,8,11,12,13],[3,5,7,8,10,13,14],[4,5,6,8,10,11,12]]; G[6382]:=Group([(2,14)(3,13)(5,11)(7,9)(8,12)]); # Design 6383: autom. group order 2, simple, residual B[6383]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,11,12,14],[1,3,7,9,10,12,14],[1,4,5,8,11,13,14],[1,4,6,8,9,12,14],[1,4,7,9,10,11,13],[1,5,6,7,8,9,10],[1,6,7,8,11,12,13],[2,3,6,7,8,11,14],[2,3,8,9,11,12,13],[2,4,5,7,9,12,13],[2,4,6,7,10,13,14],[2,4,7,8,9,11,14],[2,5,6,9,10,11,12],[2,5,7,8,10,12,14],[3,4,5,6,12,13,14],[3,4,6,9,10,11,14],[3,4,7,8,10,12,13],[3,5,6,7,9,11,13],[3,5,8,9,10,13,14],[4,5,6,8,10,11,12]]; G[6383]:=Group([(1,14)(3,7)(4,8)(5,11)]); # Design 6384: autom. group order 2, simple, residual B[6384]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,11,12,13,14],[1,2,6,9,10,11,14],[1,3,5,7,12,13,14],[1,3,7,9,10,11,14],[1,4,5,8,10,12,14],[1,4,6,8,9,13,14],[1,4,7,9,10,12,13],[1,5,6,7,8,9,11],[1,6,7,8,11,12,13],[2,3,6,7,8,12,14],[2,3,8,9,11,12,13],[2,4,5,7,9,11,13],[2,4,6,7,10,13,14],[2,4,7,8,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,11,13,14],[3,4,6,9,11,12,14],[3,4,7,8,10,11,13],[3,5,6,7,9,10,12],[3,5,8,9,10,13,14],[4,5,6,8,10,11,12]]; G[6384]:=Group([(1,14)(3,7)(4,8)(5,12)]); # Design 6385: autom. group order 2, simple, residual B[6385]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,11,12,14],[1,3,7,9,10,12,14],[1,4,5,8,11,13,14],[1,4,6,8,9,12,14],[1,4,7,9,10,11,13],[1,5,6,7,8,12,13],[1,6,7,8,9,10,11],[2,3,6,7,8,11,14],[2,3,8,9,11,12,13],[2,4,5,7,9,12,13],[2,4,6,7,10,13,14],[2,4,7,8,9,11,14],[2,5,6,9,10,11,12],[2,5,7,8,10,12,14],[3,4,5,6,9,10,14],[3,4,6,11,12,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,11,13],[3,5,8,9,10,13,14],[4,5,6,8,10,11,12]]; G[6385]:=Group([(1,14)(3,7)(4,8)(5,11)]); # Design 6386: autom. group order 2, simple, residual B[6386]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,11,12,13,14],[1,2,6,9,10,11,14],[1,3,5,7,12,13,14],[1,3,7,9,10,11,14],[1,4,5,8,10,12,14],[1,4,6,8,9,13,14],[1,4,7,9,10,12,13],[1,5,6,7,8,11,13],[1,6,7,8,9,11,12],[2,3,6,7,8,12,14],[2,3,8,9,11,12,13],[2,4,5,7,9,11,13],[2,4,6,7,10,13,14],[2,4,7,8,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,9,11,14],[3,4,6,11,12,13,14],[3,4,7,8,10,11,13],[3,5,6,7,9,10,12],[3,5,8,9,10,13,14],[4,5,6,8,10,11,12]]; G[6386]:=Group([(1,14)(3,7)(4,8)(5,12)]); # Design 6387: autom. group order 2, simple, residual B[6387]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,12,14],[1,2,6,9,11,13,14],[1,3,5,7,12,13,14],[1,3,7,9,10,11,14],[1,4,5,8,12,13,14],[1,4,6,8,11,13,14],[1,4,7,9,10,12,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,8,12,14],[2,3,8,9,11,12,13],[2,4,5,7,9,11,13],[2,4,6,7,10,13,14],[2,4,7,8,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,9,11,14],[3,4,6,9,10,12,14],[3,4,7,8,10,11,13],[3,5,6,7,11,12,13],[3,5,8,9,10,13,14],[4,5,6,8,10,11,12]]; G[6387]:=Group([(1,14)(3,7)(4,8)(5,12)]); # Design 6388: autom. group order 2, simple, residual B[6388]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,12,14],[1,2,6,9,11,13,14],[1,3,5,7,12,13,14],[1,3,7,9,10,11,14],[1,4,5,8,12,13,14],[1,4,6,8,11,13,14],[1,4,7,9,10,12,13],[1,5,6,7,8,9,11],[1,6,7,8,9,10,12],[2,3,6,7,8,12,14],[2,3,8,9,11,12,13],[2,4,5,7,9,11,13],[2,4,6,7,10,13,14],[2,4,7,8,9,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,9,10,14],[3,4,6,9,11,12,14],[3,4,7,8,10,11,13],[3,5,6,7,11,12,13],[3,5,8,9,10,13,14],[4,5,6,8,10,11,12]]; G[6388]:=Group([(1,14)(3,7)(4,8)(5,12)]); # Design 6389: autom. group order 2, simple B[6389]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,8,10,11,12],[1,3,5,7,11,12,14],[1,3,7,8,9,12,13],[1,4,5,9,10,13,14],[1,4,6,8,11,13,14],[1,4,7,11,12,13,14],[1,5,6,7,9,10,14],[1,6,7,8,9,10,12],[2,3,6,9,12,13,14],[2,3,7,9,10,11,14],[2,4,5,7,10,12,13],[2,4,6,7,9,11,13],[2,4,7,8,9,12,14],[2,5,6,7,8,11,14],[2,5,8,10,12,13,14],[3,4,5,6,8,12,14],[3,4,6,7,8,10,13],[3,4,8,9,10,11,14],[3,5,6,9,11,12,13],[3,5,7,8,10,11,13],[4,5,6,9,10,11,12]]; G[6389]:=Group([(2,14)(3,13)(5,11)(7,8)(9,12)]); # Design 6390: autom. group order 2, simple, residual B[6390]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,11,12],[1,3,5,9,12,13,14],[1,3,7,9,11,13,14],[1,4,5,7,11,12,14],[1,4,6,7,8,12,13],[1,4,7,8,9,10,13],[1,5,6,9,10,12,14],[1,6,7,8,10,11,14],[2,3,6,7,9,11,13],[2,3,7,8,10,12,14],[2,4,5,7,10,13,14],[2,4,6,11,12,13,14],[2,4,8,9,12,13,14],[2,5,6,7,8,9,14],[2,5,7,9,10,11,12],[3,4,5,6,8,11,14],[3,4,6,7,9,10,12],[3,4,8,9,10,11,14],[3,5,6,8,10,12,13],[3,5,7,8,11,12,13],[4,5,6,9,10,11,13]]; G[6390]:=Group([(1,14)(3,13)(5,12)(7,11)]); # Design 6391: autom. group order 2, simple B[6391]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,13,14],[1,2,6,9,11,13,14],[1,3,5,9,11,12,13],[1,3,7,8,11,12,14],[1,4,5,7,12,13,14],[1,4,6,7,8,10,11],[1,4,8,9,10,12,14],[1,5,6,7,9,10,12],[1,6,7,8,9,11,13],[2,3,6,7,8,12,14],[2,3,7,8,9,12,13],[2,4,5,7,9,11,14],[2,4,6,9,11,12,14],[2,4,7,8,9,10,13],[2,5,6,8,10,11,12],[2,5,7,10,11,12,13],[3,4,5,6,8,11,13],[3,4,6,9,10,12,13],[3,4,7,10,11,13,14],[3,5,6,7,9,10,14],[3,5,8,9,10,11,14],[4,5,6,8,12,13,14]]; G[6391]:=Group([(1,11)(3,12)(4,10)(7,8)(9,13)]); # Design 6392: autom. group order 2, simple, residual B[6392]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,13,14],[1,2,6,8,9,11,13],[1,3,5,9,11,12,14],[1,3,7,9,10,12,13],[1,4,5,7,11,13,14],[1,4,6,7,8,10,12],[1,4,8,11,12,13,14],[1,5,6,7,9,10,11],[1,6,7,8,9,12,14],[2,3,6,7,12,13,14],[2,3,7,8,9,11,14],[2,4,5,7,9,12,13],[2,4,6,9,11,12,13],[2,4,7,8,9,10,14],[2,5,6,8,10,11,12],[2,5,7,10,11,12,14],[3,4,5,6,8,12,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,13],[3,5,6,7,8,11,13],[3,5,8,9,10,12,13],[4,5,6,9,10,13,14]]; G[6392]:=Group([(1,12)(3,11)(4,10)(7,8)(9,14)]); # Design 6393: autom. group order 2, simple, residual B[6393]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,13,14],[1,2,6,8,9,11,13],[1,3,5,9,11,12,14],[1,3,7,8,11,12,13],[1,4,5,7,11,13,14],[1,4,6,7,8,10,12],[1,4,9,10,12,13,14],[1,5,6,7,9,10,11],[1,6,7,8,9,12,14],[2,3,6,7,12,13,14],[2,3,7,8,9,11,14],[2,4,5,7,9,12,13],[2,4,6,9,11,12,13],[2,4,7,8,9,10,14],[2,5,6,8,10,11,12],[2,5,7,10,11,12,14],[3,4,5,6,8,12,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,13],[3,5,6,7,9,10,13],[3,5,8,9,10,12,13],[4,5,6,8,11,13,14]]; G[6393]:=Group([(1,12)(3,11)(4,10)(7,8)(9,14)]); # Design 6394: autom. group order 2, simple B[6394]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,8,12,13,14],[1,3,5,9,10,12,14],[1,3,7,8,10,11,12],[1,4,5,7,8,13,14],[1,4,6,7,9,10,14],[1,4,9,11,12,13,14],[1,5,6,7,10,11,13],[1,6,7,8,9,11,12],[2,3,6,7,9,11,13],[2,3,7,9,12,13,14],[2,4,5,7,11,12,14],[2,4,6,8,10,11,14],[2,4,7,8,10,12,13],[2,5,6,8,9,10,12],[2,5,7,9,10,11,14],[3,4,5,6,11,12,13],[3,4,6,8,9,11,14],[3,4,7,8,9,10,13],[3,5,6,7,8,12,14],[3,5,8,10,11,13,14],[4,5,6,9,10,12,13]]; G[6394]:=Group([(1,5)(3,9)(4,8)(6,11)(7,13)]); # Design 6395: autom. group order 2, simple B[6395]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,8,12,13,14],[1,3,5,9,10,12,14],[1,3,7,8,10,11,14],[1,4,5,7,8,13,14],[1,4,6,7,9,10,12],[1,4,9,11,12,13,14],[1,5,6,7,10,11,13],[1,6,7,8,9,11,12],[2,3,6,7,9,11,13],[2,3,7,9,12,13,14],[2,4,5,7,11,12,14],[2,4,6,8,10,11,14],[2,4,7,8,10,12,13],[2,5,6,8,9,10,12],[2,5,7,9,10,11,14],[3,4,5,6,11,12,13],[3,4,6,8,9,11,14],[3,4,7,8,9,10,13],[3,5,6,7,8,12,14],[3,5,8,10,11,12,13],[4,5,6,9,10,13,14]]; G[6395]:=Group([(1,5)(3,9)(4,8)(6,11)(7,13)]); # Design 6396: autom. group order 2, simple B[6396]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,8,12,13,14],[1,3,5,9,10,12,14],[1,3,7,8,10,11,14],[1,4,5,7,8,13,14],[1,4,6,7,9,12,14],[1,4,9,10,11,12,13],[1,5,6,7,10,11,13],[1,6,7,8,9,11,12],[2,3,6,7,9,11,13],[2,3,7,9,12,13,14],[2,4,5,7,11,12,14],[2,4,6,8,10,11,14],[2,4,7,8,10,12,13],[2,5,6,8,9,10,12],[2,5,7,9,10,11,14],[3,4,5,6,11,12,13],[3,4,6,8,9,11,14],[3,4,7,8,9,10,13],[3,5,6,7,8,10,12],[3,5,8,11,12,13,14],[4,5,6,9,10,13,14]]; G[6396]:=Group([(1,5)(3,9)(4,8)(6,11)(7,13)]); # Design 6397: autom. group order 2, simple B[6397]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,8,12,13,14],[1,3,5,9,10,12,14],[1,3,7,8,11,12,14],[1,4,5,7,8,13,14],[1,4,6,7,9,10,12],[1,4,9,10,11,13,14],[1,5,6,7,10,11,13],[1,6,7,8,9,11,12],[2,3,6,7,9,11,13],[2,3,7,9,12,13,14],[2,4,5,7,11,12,14],[2,4,6,8,10,11,14],[2,4,7,8,10,12,13],[2,5,6,8,9,10,12],[2,5,7,9,10,11,14],[3,4,5,6,11,12,13],[3,4,6,8,9,11,14],[3,4,7,8,9,10,13],[3,5,6,7,8,10,14],[3,5,8,10,11,12,13],[4,5,6,9,12,13,14]]; G[6397]:=Group([(1,5)(3,9)(4,8)(6,11)(7,13)]); # Design 6398: autom. group order 2, simple B[6398]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,8,12,13,14],[1,3,5,9,10,12,14],[1,3,7,8,11,12,14],[1,4,5,7,8,13,14],[1,4,6,7,9,10,14],[1,4,9,10,11,12,13],[1,5,6,7,10,11,13],[1,6,7,8,9,11,12],[2,3,6,7,9,11,13],[2,3,7,9,12,13,14],[2,4,5,7,11,12,14],[2,4,6,8,10,11,14],[2,4,7,8,10,12,13],[2,5,6,8,9,10,12],[2,5,7,9,10,11,14],[3,4,5,6,11,12,13],[3,4,6,8,9,11,14],[3,4,7,8,9,10,13],[3,5,6,7,8,10,12],[3,5,8,10,11,13,14],[4,5,6,9,12,13,14]]; G[6398]:=Group([(1,5)(3,9)(4,8)(6,11)(7,13)]); # Design 6399: autom. group order 2, simple B[6399]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,13,14],[1,2,6,9,11,13,14],[1,3,5,9,11,12,13],[1,3,7,8,11,12,14],[1,4,5,7,12,13,14],[1,4,6,8,9,10,12],[1,4,7,8,10,11,14],[1,5,6,7,9,10,12],[1,6,7,8,9,11,13],[2,3,6,7,8,12,14],[2,3,7,8,9,12,13],[2,4,5,7,9,11,14],[2,4,6,9,11,12,14],[2,4,7,8,9,10,13],[2,5,6,8,10,11,12],[2,5,7,10,11,12,13],[3,4,5,6,8,11,13],[3,4,6,7,10,11,13],[3,4,9,10,12,13,14],[3,5,6,7,9,10,14],[3,5,8,9,10,11,14],[4,5,6,8,12,13,14]]; G[6399]:=Group([(1,11)(3,12)(4,10)(7,8)(9,13)]); # Design 6400: autom. group order 2, simple B[6400]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,13,14],[1,2,6,8,9,11,13],[1,3,5,9,11,12,14],[1,3,7,8,11,12,13],[1,4,5,7,11,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,12,13],[1,5,6,7,9,10,11],[1,6,7,8,9,12,14],[2,3,6,7,12,13,14],[2,3,7,8,9,11,14],[2,4,5,7,9,12,13],[2,4,6,9,11,12,13],[2,4,7,8,9,10,14],[2,5,6,8,10,11,12],[2,5,7,10,11,12,14],[3,4,5,6,8,12,14],[3,4,6,7,8,10,11],[3,4,9,10,11,13,14],[3,5,6,7,9,10,13],[3,5,8,9,10,12,13],[4,5,6,8,11,13,14]]; G[6400]:=Group([(1,12)(3,11)(4,10)(7,8)(9,14)]); # Design 6401: autom. group order 2, simple, residual B[6401]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,13,14],[1,3,5,9,11,12,14],[1,3,7,8,12,13,14],[1,4,5,10,12,13,14],[1,4,6,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,7,8,9,11],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,7,9,12,14],[2,4,7,8,9,10,14],[2,4,7,8,11,12,13],[2,5,6,8,10,12,14],[2,5,6,9,11,12,13],[3,4,5,6,8,10,13],[3,4,6,8,9,12,13],[3,4,6,9,10,11,14],[3,5,7,8,10,11,14],[3,5,7,9,10,12,13],[4,5,6,7,11,13,14]]; G[6401]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 6402: autom. group order 2, simple, residual B[6402]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,13,14],[1,3,5,9,11,12,14],[1,3,7,8,12,13,14],[1,4,5,10,12,13,14],[1,4,6,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,7,8,9,11],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,7,9,12,13],[2,4,7,8,9,12,14],[2,4,7,8,10,11,14],[2,5,6,8,11,12,13],[2,5,6,9,10,12,14],[3,4,5,6,8,10,14],[3,4,6,8,9,10,13],[3,4,6,9,11,12,13],[3,5,7,8,10,12,13],[3,5,7,9,10,11,14],[4,5,6,7,11,13,14]]; G[6402]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 6403: autom. group order 2, simple, residual B[6403]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,12,13,14],[1,3,5,9,10,12,14],[1,3,7,8,11,13,14],[1,4,5,11,12,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,11,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,9,11,14],[2,4,7,8,9,12,14],[2,4,7,8,10,12,13],[2,5,6,8,10,11,14],[2,5,6,9,11,12,13],[3,4,5,6,8,12,13],[3,4,6,8,9,11,13],[3,4,6,9,10,11,14],[3,5,7,8,11,12,14],[3,5,7,9,10,12,13],[4,5,6,7,10,13,14]]; G[6403]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 6404: autom. group order 2, simple, residual B[6404]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,12,13,14],[1,3,5,9,10,12,14],[1,3,7,8,11,13,14],[1,4,5,11,12,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,11,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,9,12,13],[2,4,7,8,9,11,14],[2,4,7,8,10,12,14],[2,5,6,8,11,12,13],[2,5,6,9,10,11,14],[3,4,5,6,8,11,14],[3,4,6,8,9,12,13],[3,4,6,9,10,11,13],[3,5,7,8,10,12,13],[3,5,7,9,11,12,14],[4,5,6,7,10,13,14]]; G[6404]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 6405: autom. group order 2, simple, residual B[6405]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,13,14],[1,3,5,9,11,12,14],[1,3,7,8,12,13,14],[1,4,5,10,12,13,14],[1,4,6,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,7,8,9,11],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,7,8,10,14],[2,4,7,8,9,12,14],[2,4,7,9,11,12,13],[2,5,6,8,11,12,13],[2,5,6,9,10,12,14],[3,4,5,6,9,12,13],[3,4,6,8,9,10,13],[3,4,6,8,10,11,14],[3,5,7,8,10,12,13],[3,5,7,9,10,11,14],[4,5,6,7,11,13,14]]; G[6405]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 6406: autom. group order 2, simple, residual B[6406]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,13,14],[1,3,5,9,11,12,14],[1,3,7,8,12,13,14],[1,4,5,10,12,13,14],[1,4,6,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,7,8,9,11],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,7,8,12,13],[2,4,7,8,9,10,14],[2,4,7,9,11,12,14],[2,5,6,8,10,12,14],[2,5,6,9,11,12,13],[3,4,5,6,9,10,14],[3,4,6,8,9,12,13],[3,4,6,8,10,11,13],[3,5,7,8,10,11,14],[3,5,7,9,10,12,13],[4,5,6,7,11,13,14]]; G[6406]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 6407: autom. group order 2, simple, residual B[6407]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,12,13,14],[1,3,5,9,10,12,14],[1,3,7,8,11,13,14],[1,4,5,11,12,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,11,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,8,12,14],[2,4,7,8,9,11,14],[2,4,7,9,10,12,13],[2,5,6,8,11,12,13],[2,5,6,9,10,11,14],[3,4,5,6,9,11,13],[3,4,6,8,9,12,13],[3,4,6,8,10,11,14],[3,5,7,8,10,12,13],[3,5,7,9,11,12,14],[4,5,6,7,10,13,14]]; G[6407]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 6408: autom. group order 2, simple, residual B[6408]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,9,11,12,14],[1,3,5,9,11,13,14],[1,3,7,8,11,12,14],[1,4,5,8,9,10,12],[1,4,6,8,10,13,14],[1,4,7,9,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,7,12,13,14],[2,4,7,8,10,11,14],[2,4,7,9,11,12,13],[2,5,6,8,10,11,13],[2,5,6,9,10,12,14],[3,4,5,6,12,13,14],[3,4,6,8,11,12,13],[3,4,6,9,10,11,14],[3,5,7,8,10,12,14],[3,5,7,9,10,11,13],[4,5,6,7,8,9,11]]; G[6408]:=Group([(2,3)(6,7)(8,9)]); # Design 6409: autom. group order 2, simple, residual B[6409]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,9,11,12,14],[1,3,5,9,11,13,14],[1,3,7,8,11,12,14],[1,4,5,8,9,10,12],[1,4,6,8,10,13,14],[1,4,7,9,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,7,12,13,14],[2,4,7,8,10,11,14],[2,4,7,9,11,12,13],[2,5,6,8,10,12,14],[2,5,6,9,10,11,13],[3,4,5,6,12,13,14],[3,4,6,8,11,12,13],[3,4,6,9,10,11,14],[3,5,7,8,10,11,13],[3,5,7,9,10,12,14],[4,5,6,7,8,9,11]]; G[6409]:=Group([(2,3)(6,7)(8,9)]); # Design 6410: autom. group order 2, simple, residual B[6410]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,9,11,12,14],[1,3,5,9,11,13,14],[1,3,7,8,11,12,14],[1,4,5,8,9,10,12],[1,4,6,8,10,13,14],[1,4,7,9,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,7,12,13,14],[2,4,7,8,11,12,13],[2,4,7,9,10,11,14],[2,5,6,8,10,11,13],[2,5,6,9,10,12,14],[3,4,5,6,12,13,14],[3,4,6,8,10,11,14],[3,4,6,9,11,12,13],[3,5,7,8,10,12,14],[3,5,7,9,10,11,13],[4,5,6,7,8,9,11]]; G[6410]:=Group([(2,3)(6,7)(8,9)]); # Design 6411: autom. group order 2, simple, residual B[6411]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,9,11,12,14],[1,3,5,9,11,13,14],[1,3,7,8,11,12,14],[1,4,5,8,9,10,12],[1,4,6,8,10,13,14],[1,4,7,9,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,7,12,13,14],[2,4,7,8,11,12,13],[2,4,7,9,10,11,14],[2,5,6,8,10,12,14],[2,5,6,9,10,11,13],[3,4,5,6,12,13,14],[3,4,6,8,10,11,14],[3,4,6,9,11,12,13],[3,5,7,8,10,11,13],[3,5,7,9,10,12,14],[4,5,6,7,8,9,11]]; G[6411]:=Group([(2,3)(6,7)(8,9)]); # Design 6412: autom. group order 2, simple, residual B[6412]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,13],[1,3,5,8,11,12,14],[1,3,7,9,10,12,14],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,10,13,14],[2,4,7,8,11,12,13],[2,4,7,9,11,12,14],[2,5,6,8,9,10,14],[2,5,6,9,11,12,14],[3,4,5,6,12,13,14],[3,4,6,8,10,11,14],[3,4,6,9,10,11,13],[3,5,7,8,9,12,13],[3,5,7,9,10,11,13],[4,5,6,7,8,10,12]]; G[6412]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6413: autom. group order 2, simple, residual B[6413]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,13],[1,3,5,8,11,12,14],[1,3,7,9,10,12,14],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,10,13,14],[2,4,7,8,11,12,14],[2,4,7,9,11,12,13],[2,5,6,8,9,10,14],[2,5,6,9,11,12,14],[3,4,5,6,12,13,14],[3,4,6,8,10,11,13],[3,4,6,9,10,11,14],[3,5,7,8,9,12,13],[3,5,7,9,10,11,13],[4,5,6,7,8,10,12]]; G[6413]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6414: autom. group order 2, simple, residual B[6414]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,13],[1,3,5,8,11,12,14],[1,3,7,9,10,12,14],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,10,13,14],[2,4,7,8,11,12,13],[2,4,7,9,11,12,14],[2,5,6,8,9,12,14],[2,5,6,9,10,11,14],[3,4,5,6,12,13,14],[3,4,6,8,10,11,14],[3,4,6,9,10,11,13],[3,5,7,8,9,10,13],[3,5,7,9,11,12,13],[4,5,6,7,8,10,12]]; G[6414]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6415: autom. group order 2, simple, residual B[6415]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,13],[1,3,5,8,11,12,14],[1,3,7,9,10,12,14],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,10,13,14],[2,4,7,8,11,12,14],[2,4,7,9,11,12,13],[2,5,6,8,9,12,14],[2,5,6,9,10,11,14],[3,4,5,6,12,13,14],[3,4,6,8,10,11,13],[3,4,6,9,10,11,14],[3,5,7,8,9,10,13],[3,5,7,9,11,12,13],[4,5,6,7,8,10,12]]; G[6415]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6416: autom. group order 2, simple, residual B[6416]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,12,13,14],[2,4,7,8,10,11,14],[2,4,7,9,11,12,13],[2,5,6,8,9,10,13],[2,5,6,9,11,12,14],[3,4,5,6,10,13,14],[3,4,6,8,11,12,13],[3,4,6,9,10,11,14],[3,5,7,8,9,12,14],[3,5,7,9,10,11,13],[4,5,6,7,8,10,12]]; G[6416]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6417: autom. group order 2, simple, residual B[6417]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,12,13,14],[2,4,7,8,10,11,13],[2,4,7,9,11,12,14],[2,5,6,8,9,12,13],[2,5,6,9,10,11,14],[3,4,5,6,10,13,14],[3,4,6,8,11,12,14],[3,4,6,9,10,11,13],[3,5,7,8,9,10,14],[3,5,7,9,11,12,13],[4,5,6,7,8,10,12]]; G[6417]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6418: autom. group order 2, simple, residual B[6418]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,12,13,14],[2,4,7,8,10,11,14],[2,4,7,9,11,12,13],[2,5,6,8,9,12,14],[2,5,6,9,10,11,13],[3,4,5,6,10,13,14],[3,4,6,8,11,12,13],[3,4,6,9,10,11,14],[3,5,7,8,9,10,13],[3,5,7,9,11,12,14],[4,5,6,7,8,10,12]]; G[6418]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6419: autom. group order 2, simple, residual B[6419]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,12,13,14],[2,4,7,8,11,12,13],[2,4,7,9,10,11,14],[2,5,6,8,9,10,13],[2,5,6,9,11,12,14],[3,4,5,6,10,13,14],[3,4,6,8,10,11,14],[3,4,6,9,11,12,13],[3,5,7,8,9,12,14],[3,5,7,9,10,11,13],[4,5,6,7,8,10,12]]; G[6419]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6420: autom. group order 2, simple, residual B[6420]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,12,13,14],[2,4,7,8,11,12,14],[2,4,7,9,10,11,13],[2,5,6,8,9,10,14],[2,5,6,9,11,12,13],[3,4,5,6,10,13,14],[3,4,6,8,10,11,13],[3,4,6,9,11,12,14],[3,5,7,8,9,12,13],[3,5,7,9,10,11,14],[4,5,6,7,8,10,12]]; G[6420]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6421: autom. group order 2, simple, residual B[6421]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,12,13,14],[2,4,7,8,11,12,13],[2,4,7,9,10,11,14],[2,5,6,8,9,12,14],[2,5,6,9,10,11,13],[3,4,5,6,10,13,14],[3,4,6,8,10,11,14],[3,4,6,9,11,12,13],[3,5,7,8,9,10,13],[3,5,7,9,11,12,14],[4,5,6,7,8,10,12]]; G[6421]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6422: autom. group order 2, simple, residual B[6422]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,8,10,12,13,14],[2,4,5,7,12,13,14],[2,4,7,8,11,12,14],[2,4,7,9,10,11,13],[2,5,6,8,9,12,13],[2,5,6,9,10,11,14],[3,4,5,6,10,13,14],[3,4,6,8,10,11,13],[3,4,6,9,11,12,14],[3,5,7,8,9,10,14],[3,5,7,9,11,12,13],[4,5,6,7,8,10,12]]; G[6422]:=Group([(2,3)(6,7)(10,12)(13,14)]); # Design 6423: autom. group order 2, simple, residual B[6423]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,10,13,14],[1,3,5,9,11,12,14],[1,3,7,9,12,13,14],[1,4,5,10,12,13,14],[1,4,6,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,7,8,9,11],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,7,9,10,14],[2,4,7,8,9,12,13],[2,4,7,8,11,12,14],[2,5,6,9,10,12,14],[2,5,6,9,11,12,13],[3,4,5,6,8,12,13],[3,4,6,8,9,10,14],[3,4,6,9,10,11,13],[3,5,7,8,10,11,14],[3,5,7,8,10,12,13],[4,5,6,7,11,13,14]]; G[6423]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 6424: autom. group order 2, simple, residual B[6424]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,10,13,14],[1,3,5,9,11,12,14],[1,3,7,9,12,13,14],[1,4,5,10,12,13,14],[1,4,6,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,7,8,9,11],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,7,8,12,14],[2,4,7,8,9,12,13],[2,4,7,9,10,11,14],[2,5,6,9,10,12,14],[2,5,6,9,11,12,13],[3,4,5,6,9,10,13],[3,4,6,8,9,10,14],[3,4,6,8,11,12,13],[3,5,7,8,10,11,14],[3,5,7,8,10,12,13],[4,5,6,7,11,13,14]]; G[6424]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 6425: autom. group order 2, simple, residual B[6425]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,12,13,14],[1,3,5,9,10,12,14],[1,3,7,9,11,13,14],[1,4,5,11,12,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,11,13],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,8,9,10,13,14],[2,4,5,7,8,11,14],[2,4,7,8,9,12,13],[2,4,7,9,10,12,14],[2,5,6,9,10,11,14],[2,5,6,9,11,12,13],[3,4,5,6,9,12,13],[3,4,6,8,9,11,14],[3,4,6,8,10,11,13],[3,5,7,8,10,12,13],[3,5,7,8,11,12,14],[4,5,6,7,10,13,14]]; G[6425]:=Group([(2,3)(6,7)(8,9)(11,12)(13,14)]); # Design 6426: autom. group order 2, simple, residual B[6426]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,11,12,14],[1,3,5,9,11,13,14],[1,3,7,9,11,12,14],[1,4,5,8,9,10,12],[1,4,6,8,10,13,14],[1,4,7,9,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,7,12,13,14],[2,4,7,8,10,11,14],[2,4,7,9,11,12,13],[2,5,6,9,10,11,13],[2,5,6,9,10,12,14],[3,4,5,6,12,13,14],[3,4,6,8,11,12,13],[3,4,6,9,10,11,14],[3,5,7,8,10,11,13],[3,5,7,8,10,12,14],[4,5,6,7,8,9,11]]; G[6426]:=Group([(2,3)(6,7)(8,9)]); # Design 6427: autom. group order 2, simple, residual B[6427]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,11,12,14],[1,3,5,9,11,13,14],[1,3,7,9,11,12,14],[1,4,5,8,9,10,12],[1,4,6,8,10,13,14],[1,4,7,9,10,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,7,12,13,14],[2,4,7,8,11,12,13],[2,4,7,9,10,11,14],[2,5,6,9,10,11,13],[2,5,6,9,10,12,14],[3,4,5,6,12,13,14],[3,4,6,8,10,11,14],[3,4,6,9,11,12,13],[3,5,7,8,10,11,13],[3,5,7,8,10,12,14],[4,5,6,7,8,9,11]]; G[6427]:=Group([(2,3)(6,7)(8,9)]); # Design 6428: autom. group order 2, simple B[6428]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,10,14],[1,3,5,9,11,12,14],[1,3,7,8,9,12,13],[1,4,5,10,12,13,14],[1,4,6,9,11,12,13],[1,4,7,8,10,11,14],[1,5,6,7,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,7,9,10,13],[2,4,7,8,11,12,14],[2,4,7,9,12,13,14],[2,5,6,8,11,12,13],[2,5,6,9,10,12,14],[3,4,5,6,8,12,14],[3,4,6,8,10,13,14],[3,4,6,9,10,11,13],[3,5,7,8,10,12,13],[3,5,7,9,10,11,14],[4,5,6,7,8,9,11]]; G[6428]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 6429: autom. group order 2, simple B[6429]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,10,14],[1,3,5,9,11,12,14],[1,3,7,8,9,12,13],[1,4,5,10,12,13,14],[1,4,6,9,11,12,13],[1,4,7,8,10,11,14],[1,5,6,7,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,7,8,12,14],[2,4,7,9,10,11,13],[2,4,7,9,12,13,14],[2,5,6,8,11,12,13],[2,5,6,9,10,12,14],[3,4,5,6,9,10,13],[3,4,6,8,10,13,14],[3,4,6,8,11,12,14],[3,5,7,8,10,12,13],[3,5,7,9,10,11,14],[4,5,6,7,8,9,11]]; G[6429]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 6430: autom. group order 2, simple B[6430]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,10,14],[1,3,5,9,11,12,14],[1,3,7,8,9,12,13],[1,4,5,10,12,13,14],[1,4,6,9,11,12,13],[1,4,7,8,10,11,14],[1,5,6,7,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,10,11,12],[2,3,8,9,11,13,14],[2,4,5,7,8,12,13],[2,4,7,9,10,13,14],[2,4,7,9,11,12,14],[2,5,6,8,11,12,14],[2,5,6,9,10,12,13],[3,4,5,6,9,10,14],[3,4,6,8,10,11,13],[3,4,6,8,12,13,14],[3,5,7,8,10,12,14],[3,5,7,9,10,11,13],[4,5,6,7,8,9,11]]; G[6430]:=Group([(2,3)(6,7)(8,9)(10,12)(13,14)]); # Design 6431: autom. group order 2, simple, residual B[6431]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,6,8,10,12,14],[1,3,5,7,9,10,14],[1,3,7,8,12,13,14],[1,4,5,9,11,13,14],[1,4,6,7,9,11,12],[1,4,8,10,11,13,14],[1,5,6,8,9,10,13],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,8,9,11,14],[2,4,5,8,11,12,14],[2,4,7,8,9,10,13],[2,4,7,9,10,12,13],[2,5,6,7,8,11,13],[2,5,6,9,10,12,14],[3,4,5,6,8,12,13],[3,4,6,7,8,10,14],[3,4,6,9,12,13,14],[3,5,7,10,11,12,13],[3,5,8,9,10,11,12],[4,5,6,7,10,11,14]]; G[6431]:=Group([(1,10)(2,11)(4,12)(6,13)]); # Design 6432: autom. group order 2, simple, residual B[6432]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,6,8,10,12,14],[1,3,5,7,9,10,14],[1,3,7,8,9,12,13],[1,4,5,8,11,13,14],[1,4,6,7,11,12,14],[1,4,8,9,10,11,13],[1,5,6,9,10,13,14],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,8,9,11,14],[2,4,5,9,11,12,14],[2,4,7,8,10,13,14],[2,4,7,9,10,12,13],[2,5,6,7,8,11,13],[2,5,6,8,9,10,12],[3,4,5,6,8,12,13],[3,4,6,7,8,10,14],[3,4,6,9,12,13,14],[3,5,7,10,11,12,13],[3,5,8,10,11,12,14],[4,5,6,7,9,10,11]]; G[6432]:=Group([(1,10)(2,11)(4,12)(6,13)(9,14)]); # Design 6433: autom. group order 2, simple, residual B[6433]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,6,8,10,12,14],[1,3,5,7,8,11,14],[1,3,7,9,10,13,14],[1,4,5,8,9,10,13],[1,4,6,9,11,12,13],[1,4,7,8,11,12,14],[1,5,6,9,10,12,14],[1,6,7,8,9,11,13],[2,3,6,8,9,11,14],[2,3,8,9,12,13,14],[2,4,5,9,11,13,14],[2,4,7,8,9,10,12],[2,4,7,10,11,13,14],[2,5,6,7,8,10,13],[2,5,6,7,9,11,12],[3,4,5,6,12,13,14],[3,4,6,7,8,12,13],[3,4,6,7,9,10,14],[3,5,7,9,10,11,12],[3,5,8,10,11,12,13],[4,5,6,8,10,11,14]]; G[6433]:=Group([(1,11)(2,10)(4,12)(6,13)(7,8)]); # Design 6434: autom. group order 2, simple, residual B[6434]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,6,8,10,12,14],[1,3,5,7,8,11,14],[1,3,7,9,10,13,14],[1,4,5,8,9,10,13],[1,4,6,9,11,12,13],[1,4,7,8,11,12,14],[1,5,6,9,11,13,14],[1,6,7,8,9,10,12],[2,3,6,8,9,11,14],[2,3,8,9,12,13,14],[2,4,5,9,10,12,14],[2,4,7,8,9,11,13],[2,4,7,10,11,13,14],[2,5,6,7,8,10,13],[2,5,6,7,9,11,12],[3,4,5,6,12,13,14],[3,4,6,7,8,12,13],[3,4,6,7,9,10,14],[3,5,7,9,10,11,12],[3,5,8,10,11,12,13],[4,5,6,8,10,11,14]]; G[6434]:=Group([(1,11)(2,10)(4,12)(6,13)(7,8)]); # Design 6435: autom. group order 2, simple, residual B[6435]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,12,13],[1,2,6,9,10,12,14],[1,3,5,7,9,11,14],[1,3,7,8,10,13,14],[1,4,5,9,10,13,14],[1,4,6,8,11,12,13],[1,4,7,9,11,12,14],[1,5,6,8,10,12,14],[1,6,7,8,9,11,13],[2,3,6,8,9,11,14],[2,3,8,9,12,13,14],[2,4,5,8,11,13,14],[2,4,7,8,9,10,12],[2,4,7,10,11,13,14],[2,5,6,7,9,10,13],[2,5,6,7,11,12,14],[3,4,5,6,12,13,14],[3,4,6,7,8,10,14],[3,4,6,7,9,12,13],[3,5,7,8,10,11,12],[3,5,9,10,11,12,13],[4,5,6,8,9,10,11]]; G[6435]:=Group([(1,11)(2,10)(4,12)(6,13)(7,9)]); # Design 6436: autom. group order 2, simple, residual B[6436]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,12,13],[1,2,6,9,10,12,14],[1,3,5,7,9,11,14],[1,3,7,8,10,13,14],[1,4,5,9,10,13,14],[1,4,6,8,11,12,13],[1,4,7,9,11,12,14],[1,5,6,8,11,13,14],[1,6,7,8,9,10,12],[2,3,6,8,9,11,14],[2,3,8,9,12,13,14],[2,4,5,8,10,12,14],[2,4,7,8,9,11,13],[2,4,7,10,11,13,14],[2,5,6,7,9,10,13],[2,5,6,7,11,12,14],[3,4,5,6,12,13,14],[3,4,6,7,8,10,14],[3,4,6,7,9,12,13],[3,5,7,8,10,11,12],[3,5,9,10,11,12,13],[4,5,6,8,9,10,11]]; G[6436]:=Group([(1,11)(2,10)(4,12)(6,13)(7,9)]); # Design 6437: autom. group order 2, simple, residual B[6437]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,6,8,10,12,14],[1,3,5,7,8,10,14],[1,3,8,9,12,13,14],[1,4,5,9,11,13,14],[1,4,6,8,9,11,12],[1,4,7,10,11,13,14],[1,5,6,7,9,11,12],[1,6,7,8,9,10,13],[2,3,6,9,11,13,14],[2,3,7,8,9,11,14],[2,4,5,8,9,10,13],[2,4,7,8,11,12,14],[2,4,7,9,10,12,13],[2,5,6,7,8,11,13],[2,5,6,9,10,12,14],[3,4,5,6,12,13,14],[3,4,6,7,8,12,13],[3,4,6,7,9,10,14],[3,5,7,9,10,11,12],[3,5,8,10,11,12,13],[4,5,6,8,10,11,14]]; G[6437]:=Group([(1,10)(2,11)(4,12)(6,13)(7,8)]); # Design 6438: autom. group order 2, simple, residual B[6438]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,12,13],[1,2,6,9,10,12,14],[1,3,5,7,9,10,14],[1,3,8,9,12,13,14],[1,4,5,8,11,13,14],[1,4,6,8,9,11,12],[1,4,7,10,11,13,14],[1,5,6,7,11,12,14],[1,6,7,8,9,10,13],[2,3,6,8,11,13,14],[2,3,7,8,9,11,14],[2,4,5,9,10,13,14],[2,4,7,8,10,12,13],[2,4,7,9,11,12,14],[2,5,6,7,9,11,13],[2,5,6,8,10,12,14],[3,4,5,6,12,13,14],[3,4,6,7,8,10,14],[3,4,6,7,9,12,13],[3,5,7,8,10,11,12],[3,5,9,10,11,12,13],[4,5,6,8,9,10,11]]; G[6438]:=Group([(1,10)(2,11)(4,12)(6,13)(7,9)]); # Design 6439: autom. group order 2, simple, residual B[6439]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,12,13],[1,2,6,9,10,12,14],[1,3,5,9,12,13,14],[1,3,7,8,9,10,14],[1,4,5,8,11,13,14],[1,4,6,8,9,11,12],[1,4,7,10,11,13,14],[1,5,6,7,11,12,14],[1,6,7,8,9,10,13],[2,3,6,8,11,13,14],[2,3,7,8,9,11,14],[2,4,5,9,10,13,14],[2,4,7,8,10,12,13],[2,4,7,9,11,12,14],[2,5,6,7,9,11,13],[2,5,6,8,10,12,14],[3,4,5,6,7,10,14],[3,4,6,7,9,12,13],[3,4,6,8,12,13,14],[3,5,7,8,10,11,12],[3,5,9,10,11,12,13],[4,5,6,8,9,10,11]]; G[6439]:=Group([(1,10)(2,11)(4,12)(6,13)(7,9)]); # Design 6440: autom. group order 2, simple, residual B[6440]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,12,14],[1,2,6,7,9,11,14],[1,3,5,7,9,13,14],[1,3,7,8,9,10,12],[1,4,5,7,12,13,14],[1,4,6,8,10,13,14],[1,4,9,10,11,13,14],[1,5,6,8,11,12,13],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,5,9,11,12,13],[2,4,7,8,9,10,13],[2,4,7,8,11,12,14],[2,5,6,7,10,12,13],[2,5,6,8,9,10,14],[3,4,5,6,8,11,14],[3,4,6,7,10,12,14],[3,4,6,8,9,12,13],[3,5,7,8,10,11,13],[3,5,9,10,11,12,14],[4,5,6,7,9,10,11]]; G[6440]:=Group([(2,14)(3,13)(5,10)(6,9)(7,11)]); # Design 6441: autom. group order 2, simple, residual B[6441]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,12,14],[1,2,6,7,9,11,14],[1,3,5,7,9,13,14],[1,3,7,8,11,12,13],[1,4,5,7,12,13,14],[1,4,6,8,10,13,14],[1,4,9,10,11,13,14],[1,5,6,8,9,10,12],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,9,10,14],[2,4,5,9,11,12,13],[2,4,7,8,9,10,13],[2,4,7,8,11,12,14],[2,5,6,7,10,12,13],[2,5,6,8,11,13,14],[3,4,5,6,8,11,14],[3,4,6,7,10,12,14],[3,4,6,8,9,12,13],[3,5,7,8,10,11,13],[3,5,9,10,11,12,14],[4,5,6,7,9,10,11]]; G[6441]:=Group([(2,14)(3,13)(5,10)(6,9)(7,11)]); # Design 6442: autom. group order 2, simple, residual B[6442]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,12,14],[1,2,6,7,9,11,14],[1,3,5,7,9,13,14],[1,3,7,8,11,12,13],[1,4,5,7,12,13,14],[1,4,6,8,10,13,14],[1,4,9,10,11,13,14],[1,5,6,8,9,10,12],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,9,10,14],[2,4,5,8,9,11,13],[2,4,7,8,11,12,14],[2,4,7,9,10,12,13],[2,5,6,7,10,12,13],[2,5,6,8,11,13,14],[3,4,5,6,11,12,14],[3,4,6,7,8,10,14],[3,4,6,8,9,12,13],[3,5,7,8,10,11,13],[3,5,9,10,11,12,14],[4,5,6,7,9,10,11]]; G[6442]:=Group([(2,14)(3,13)(5,10)(6,9)(7,11)]); # Design 6443: autom. group order 2, simple B[6443]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,12,14],[1,2,6,7,9,11,14],[1,3,5,7,9,13,14],[1,3,7,8,9,10,12],[1,4,5,7,12,13,14],[1,4,6,8,10,13,14],[1,4,9,10,11,13,14],[1,5,6,8,11,12,13],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,5,8,9,11,13],[2,4,7,8,11,12,14],[2,4,7,9,10,12,13],[2,5,6,7,8,10,13],[2,5,6,9,10,12,14],[3,4,5,6,11,12,14],[3,4,6,7,8,10,14],[3,4,6,8,9,12,13],[3,5,7,10,11,12,13],[3,5,8,9,10,11,14],[4,5,6,7,9,10,11]]; G[6443]:=Group([(2,14)(3,13)(5,10)(6,9)(7,11)]); # Design 6444: autom. group order 2, simple, residual B[6444]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,6,7,10,12,14],[1,3,5,7,9,12,13],[1,3,7,8,9,10,14],[1,4,5,7,11,13,14],[1,4,6,8,11,12,14],[1,4,8,9,10,11,13],[1,5,6,9,10,13,14],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,8,9,11,14],[2,4,5,9,11,12,14],[2,4,7,8,10,13,14],[2,4,7,9,10,12,13],[2,5,6,7,8,11,13],[2,5,6,8,9,10,12],[3,4,5,6,8,10,14],[3,4,6,7,8,12,13],[3,4,6,9,12,13,14],[3,5,7,10,11,12,14],[3,5,8,10,11,12,13],[4,5,6,7,9,10,11]]; G[6444]:=Group([(1,10)(2,11)(4,12)(6,13)(7,8)(9,14)]); # Design 6445: autom. group order 2, simple, residual B[6445]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,9,12,13],[1,2,6,7,10,12,14],[1,3,5,7,8,10,14],[1,3,7,9,12,13,14],[1,4,5,7,11,13,14],[1,4,6,8,9,11,12],[1,4,8,10,11,13,14],[1,5,6,9,11,12,14],[1,6,7,8,9,10,13],[2,3,6,9,11,13,14],[2,3,7,8,9,11,14],[2,4,5,9,10,13,14],[2,4,7,8,11,12,14],[2,4,7,9,10,12,13],[2,5,6,7,8,11,13],[2,5,6,8,10,12,14],[3,4,5,6,12,13,14],[3,4,6,7,8,12,13],[3,4,6,8,9,10,14],[3,5,7,9,10,11,12],[3,5,8,10,11,12,13],[4,5,6,7,9,10,11]]; G[6445]:=Group([(1,10)(2,11)(4,12)(6,13)(7,8)]); # Design 6446: autom. group order 2, simple, residual B[6446]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,6,7,10,12,14],[1,3,5,7,8,10,14],[1,3,7,9,12,13,14],[1,4,5,7,9,11,13],[1,4,6,8,9,11,12],[1,4,8,10,11,13,14],[1,5,6,9,11,12,14],[1,6,7,8,9,10,13],[2,3,6,9,11,13,14],[2,3,7,8,9,11,14],[2,4,5,9,10,13,14],[2,4,7,8,11,12,14],[2,4,7,9,10,12,13],[2,5,6,7,8,11,13],[2,5,6,8,9,10,12],[3,4,5,6,12,13,14],[3,4,6,7,8,12,13],[3,4,6,8,9,10,14],[3,5,7,9,10,11,12],[3,5,8,10,11,12,13],[4,5,6,7,10,11,14]]; G[6446]:=Group([(1,10)(2,11)(4,12)(6,13)(7,8)]); # Design 6447: autom. group order 2, simple, residual B[6447]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,6,7,10,12,14],[1,3,5,7,8,11,14],[1,3,7,9,10,13,14],[1,4,5,9,10,13,14],[1,4,6,9,11,12,13],[1,4,7,8,11,12,14],[1,5,6,8,9,10,12],[1,6,7,8,9,11,13],[2,3,6,8,9,11,14],[2,3,7,9,12,13,14],[2,4,5,7,9,11,13],[2,4,7,8,9,10,12],[2,4,8,10,11,13,14],[2,5,6,7,8,10,13],[2,5,6,9,11,12,14],[3,4,5,6,12,13,14],[3,4,6,7,8,12,13],[3,4,6,8,9,10,14],[3,5,7,9,10,11,12],[3,5,8,10,11,12,13],[4,5,6,7,10,11,14]]; G[6447]:=Group([(1,11)(2,10)(4,12)(6,13)(7,8)]); # Design 6448: autom. group order 2, simple, residual B[6448]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,11,12,13,14],[1,2,6,7,8,11,13],[1,3,5,9,10,11,13],[1,3,7,8,9,12,14],[1,4,5,7,8,10,14],[1,4,6,7,9,11,14],[1,4,8,9,10,12,13],[1,5,6,8,11,12,14],[1,6,7,9,10,12,13],[2,3,6,8,9,11,12],[2,3,7,8,10,13,14],[2,4,5,9,12,13,14],[2,4,7,8,9,11,13],[2,4,7,10,11,12,14],[2,5,6,7,9,10,12],[2,5,6,8,9,10,14],[3,4,5,6,7,12,13],[3,4,6,8,12,13,14],[3,4,6,9,10,11,14],[3,5,7,8,10,11,12],[3,5,7,9,11,13,14],[4,5,6,8,10,11,13]]; G[6448]:=Group([(2,13)(3,10)(4,9)(5,12)]); # Design 6449: autom. group order 2, simple, residual B[6449]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,11,12,13,14],[1,2,6,7,8,11,13],[1,3,5,9,10,11,13],[1,3,7,8,9,12,14],[1,4,5,7,8,10,14],[1,4,6,7,9,11,14],[1,4,8,9,10,12,13],[1,5,6,8,11,12,14],[1,6,7,9,10,12,13],[2,3,6,8,9,12,14],[2,3,7,8,10,13,14],[2,4,5,9,12,13,14],[2,4,7,8,9,11,13],[2,4,7,10,11,12,14],[2,5,6,7,9,10,12],[2,5,6,8,9,10,11],[3,4,5,6,7,12,13],[3,4,6,8,11,12,13],[3,4,6,9,10,11,14],[3,5,7,8,10,11,12],[3,5,7,9,11,13,14],[4,5,6,8,10,13,14]]; G[6449]:=Group([(2,13)(3,10)(4,9)(5,12)]); # Design 6450: autom. group order 2, simple, residual B[6450]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,6,9,10,12,14],[1,3,5,7,8,10,14],[1,3,7,9,12,13,14],[1,4,5,7,11,13,14],[1,4,6,7,8,11,12],[1,4,9,10,11,13,14],[1,5,6,8,9,10,13],[1,6,7,8,9,11,12],[2,3,6,8,11,13,14],[2,3,7,8,9,11,14],[2,4,5,9,11,12,14],[2,4,7,8,9,10,13],[2,4,7,8,10,12,13],[2,5,6,7,9,11,13],[2,5,6,7,10,12,14],[3,4,5,6,9,12,13],[3,4,6,7,9,10,14],[3,4,6,8,12,13,14],[3,5,7,10,11,12,13],[3,5,8,9,10,11,12],[4,5,6,8,10,11,14]]; G[6450]:=Group([(1,10)(2,11)(4,12)(6,13)]); # Design 6451: autom. group order 2, simple, residual B[6451]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,6,8,10,12,14],[1,3,5,7,9,10,14],[1,3,7,8,9,12,13],[1,4,5,7,11,13,14],[1,4,6,7,11,12,14],[1,4,8,9,10,11,13],[1,5,6,9,10,13,14],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,8,9,11,14],[2,4,5,9,11,12,14],[2,4,7,8,10,13,14],[2,4,7,9,10,12,13],[2,5,6,7,8,11,13],[2,5,6,7,9,10,12],[3,4,5,6,8,12,13],[3,4,6,7,8,10,14],[3,4,6,9,12,13,14],[3,5,7,10,11,12,13],[3,5,8,10,11,12,14],[4,5,6,8,9,10,11]]; G[6451]:=Group([(1,10)(2,11)(4,12)(6,13)(9,14)]); # Design 6452: autom. group order 2, simple, residual B[6452]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,6,9,10,12,14],[1,3,5,7,9,10,14],[1,3,7,8,12,13,14],[1,4,5,9,11,13,14],[1,4,6,7,8,11,12],[1,4,7,10,11,13,14],[1,5,6,8,9,11,12],[1,6,7,8,9,10,13],[2,3,6,8,11,13,14],[2,3,7,8,9,11,14],[2,4,5,7,8,10,13],[2,4,7,9,11,12,14],[2,4,8,9,10,12,13],[2,5,6,7,9,11,13],[2,5,6,7,10,12,14],[3,4,5,6,12,13,14],[3,4,6,7,9,12,13],[3,4,6,8,9,10,14],[3,5,7,8,10,11,12],[3,5,9,10,11,12,13],[4,5,6,8,10,11,14]]; G[6452]:=Group([(1,10)(2,11)(4,12)(6,13)(7,9)]); # Design 6453: autom. group order 2, simple, residual B[6453]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,6,9,10,12,14],[1,3,5,7,9,10,14],[1,3,7,8,12,13,14],[1,4,5,8,9,11,13],[1,4,6,7,8,11,12],[1,4,7,10,11,13,14],[1,5,6,9,11,12,14],[1,6,7,8,9,10,13],[2,3,6,8,11,13,14],[2,3,7,8,9,11,14],[2,4,5,7,10,13,14],[2,4,7,9,11,12,14],[2,4,8,9,10,12,13],[2,5,6,7,8,10,12],[2,5,6,7,9,11,13],[3,4,5,6,12,13,14],[3,4,6,7,9,12,13],[3,4,6,8,9,10,14],[3,5,7,8,10,11,12],[3,5,9,10,11,12,13],[4,5,6,8,10,11,14]]; G[6453]:=Group([(1,10)(2,11)(4,12)(6,13)(7,9)]); # Design 6454: autom. group order 2, simple, residual B[6454]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,6,9,10,12,14],[1,3,5,7,9,11,14],[1,3,8,9,10,13,14],[1,4,5,7,10,13,14],[1,4,6,8,11,12,13],[1,4,7,9,11,12,14],[1,5,6,7,8,10,12],[1,6,7,8,9,11,13],[2,3,6,7,8,11,14],[2,3,7,8,12,13,14],[2,4,5,8,9,11,13],[2,4,7,8,9,10,12],[2,4,7,10,11,13,14],[2,5,6,7,9,10,13],[2,5,6,9,11,12,14],[3,4,5,6,12,13,14],[3,4,6,7,9,12,13],[3,4,6,8,9,10,14],[3,5,7,8,10,11,12],[3,5,9,10,11,12,13],[4,5,6,8,10,11,14]]; G[6454]:=Group([(1,11)(2,10)(4,12)(6,13)(7,9)]); # Design 6455: autom. group order 2, simple, residual B[6455]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,13,14],[1,2,6,7,9,11,13],[1,3,5,9,10,11,14],[1,3,7,10,11,12,13],[1,4,5,8,11,12,13],[1,4,6,9,12,13,14],[1,4,7,8,9,10,14],[1,5,6,8,11,12,14],[1,6,7,8,9,10,12],[2,3,7,8,9,12,13],[2,3,8,9,11,12,14],[2,4,5,6,9,10,12],[2,4,6,7,11,12,14],[2,4,7,8,10,11,14],[2,5,6,8,10,11,13],[2,5,9,10,12,13,14],[3,4,5,7,12,13,14],[3,4,6,8,9,11,13],[3,4,6,8,10,13,14],[3,5,6,7,8,10,12],[3,5,6,7,9,11,14],[4,5,7,9,10,11,13]]; G[6455]:=Group([(1,9)(2,11)(4,14)(8,10)]); # Design 6456: autom. group order 2, simple B[6456]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,9,10,13],[1,2,6,7,10,11,14],[1,3,5,11,12,13,14],[1,3,7,9,10,12,14],[1,4,5,10,12,13,14],[1,4,6,8,9,10,13],[1,4,7,8,9,11,12],[1,5,6,8,9,11,14],[1,6,7,8,11,12,13],[2,3,7,8,10,11,13],[2,3,8,9,12,13,14],[2,4,5,6,11,12,13],[2,4,6,8,10,12,14],[2,4,7,9,11,13,14],[2,5,6,7,9,12,14],[2,5,8,9,10,11,12],[3,4,5,7,8,11,14],[3,4,6,7,9,12,13],[3,4,6,9,10,11,14],[3,5,6,7,8,10,12],[3,5,6,9,10,11,13],[4,5,7,8,10,13,14]]; G[6456]:=Group([(1,8)(4,13)(5,14)(6,9)(7,12)]); # Design 6457: autom. group order 2, simple B[6457]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,7,9,10,14],[1,3,5,9,11,12,14],[1,3,7,9,10,12,13],[1,4,5,8,10,13,14],[1,4,6,10,12,13,14],[1,4,7,8,9,11,12],[1,5,6,8,9,11,13],[1,6,7,8,11,12,14],[2,3,7,8,10,11,14],[2,3,8,9,12,13,14],[2,4,5,6,11,12,14],[2,4,6,8,9,10,12],[2,4,7,9,11,13,14],[2,5,6,7,9,12,13],[2,5,8,10,11,12,13],[3,4,5,7,12,13,14],[3,4,6,7,8,11,13],[3,4,6,9,10,11,13],[3,5,6,7,8,10,12],[3,5,6,9,10,11,14],[4,5,7,8,9,10,14]]; G[6457]:=Group([(1,8)(4,14)(5,13)(6,9)(7,12)]); # Design 6458: autom. group order 2, simple B[6458]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,13,14],[1,3,5,7,12,13,14],[1,3,7,9,11,12,14],[1,4,5,9,10,12,13],[1,4,6,10,11,13,14],[1,4,7,8,9,11,14],[1,5,6,8,9,10,12],[1,6,7,8,10,11,12],[2,3,7,9,10,11,13],[2,3,8,9,10,12,14],[2,4,5,6,11,12,14],[2,4,6,7,9,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,10,11],[2,5,8,11,12,13,14],[3,4,5,8,10,11,14],[3,4,6,7,8,12,13],[3,4,6,8,9,11,13],[3,5,6,7,8,10,14],[3,5,6,9,11,12,13],[4,5,7,9,10,13,14]]; G[6458]:=Group([(1,14)(2,10)(4,8)(9,11)]); # Design 6459: autom. group order 2, simple B[6459]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,13,14],[1,3,5,7,12,13,14],[1,3,7,9,11,12,14],[1,4,5,9,10,12,13],[1,4,6,10,11,13,14],[1,4,7,8,9,11,14],[1,5,6,8,10,11,12],[1,6,7,8,9,10,12],[2,3,7,9,10,11,13],[2,3,8,9,10,12,14],[2,4,5,6,9,12,14],[2,4,6,7,11,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,10,11],[2,5,8,11,12,13,14],[3,4,5,8,10,11,14],[3,4,6,7,8,12,13],[3,4,6,8,9,11,13],[3,5,6,7,8,10,14],[3,5,6,9,11,12,13],[4,5,7,9,10,13,14]]; G[6459]:=Group([(1,14)(2,10)(4,8)(9,11)]); # Design 6460: autom. group order 2, simple, residual B[6460]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,13,14],[1,2,6,7,9,11,13],[1,3,5,7,11,12,14],[1,3,9,11,12,13,14],[1,4,5,7,8,11,13],[1,4,6,8,9,10,12],[1,4,7,9,10,12,13],[1,5,6,8,9,12,14],[1,6,7,8,10,11,14],[2,3,7,8,9,10,14],[2,3,7,8,9,12,13],[2,4,5,6,12,13,14],[2,4,6,7,9,11,14],[2,4,8,11,12,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,11,12],[3,4,5,9,10,11,14],[3,4,6,7,8,12,14],[3,4,6,8,10,11,13],[3,5,6,7,10,12,13],[3,5,6,8,9,11,13],[4,5,7,9,10,13,14]]; G[6460]:=Group([(1,12)(3,11)(4,10)(6,8)]); # Design 6461: autom. group order 2, simple, residual B[6461]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,10,11,13,14],[1,2,6,7,8,12,13],[1,3,5,7,11,12,14],[1,3,8,9,12,13,14],[1,4,5,7,9,12,13],[1,4,6,8,9,10,11],[1,4,7,8,10,11,13],[1,5,6,8,9,11,14],[1,6,7,9,10,12,14],[2,3,7,8,9,10,14],[2,3,7,8,9,11,13],[2,4,5,6,9,13,14],[2,4,6,8,11,12,14],[2,4,7,9,11,12,14],[2,5,6,7,8,10,12],[2,5,9,10,11,12,13],[3,4,5,8,10,12,14],[3,4,6,7,11,13,14],[3,4,6,9,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,11,12,13],[4,5,7,8,10,13,14]]; G[6461]:=Group([(1,11)(3,12)(5,14)(6,9)]); # Design 6462: autom. group order 2, simple, residual B[6462]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,11,12,13,14],[1,2,6,7,9,11,13],[1,3,5,9,12,13,14],[1,3,7,9,10,11,14],[1,4,5,7,10,13,14],[1,4,6,7,8,11,12],[1,4,7,8,9,12,14],[1,5,6,8,10,11,14],[1,6,8,9,10,12,13],[2,3,7,8,10,13,14],[2,3,7,8,11,12,14],[2,4,5,6,10,12,14],[2,4,6,9,11,13,14],[2,4,7,9,10,12,13],[2,5,6,7,8,9,14],[2,5,8,9,10,11,12],[3,4,5,8,9,11,13],[3,4,6,8,12,13,14],[3,4,6,9,10,11,14],[3,5,6,7,9,10,12],[3,5,6,7,11,12,13],[4,5,7,8,10,11,13]]; G[6462]:=Group([(1,7)(2,10)(3,13)(6,14)(9,11)]); # Design 6463: autom. group order 2, simple, residual B[6463]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,10,11,13,14],[1,2,6,7,8,12,13],[1,3,5,8,11,12,14],[1,3,7,9,12,13,14],[1,4,5,7,9,10,12],[1,4,6,8,9,11,13],[1,4,7,8,10,11,13],[1,5,6,7,9,11,14],[1,6,8,9,10,12,14],[2,3,7,8,9,10,14],[2,3,7,8,9,11,13],[2,4,5,6,9,13,14],[2,4,6,8,11,12,14],[2,4,7,9,11,12,14],[2,5,6,7,8,10,12],[2,5,9,10,11,12,13],[3,4,5,8,12,13,14],[3,4,6,7,10,11,14],[3,4,6,9,10,12,13],[3,5,6,7,11,12,13],[3,5,6,8,9,10,11],[4,5,7,8,10,13,14]]; G[6463]:=Group([(1,11)(3,12)(5,14)(6,9)]); # Design 6464: autom. group order 2, simple, residual B[6464]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,13,14],[1,2,6,7,9,11,13],[1,3,5,9,11,12,14],[1,3,7,11,12,13,14],[1,4,5,8,9,11,13],[1,4,6,7,8,10,12],[1,4,7,9,10,12,13],[1,5,6,7,8,12,14],[1,6,8,9,10,11,14],[2,3,7,8,9,10,14],[2,3,7,8,9,12,13],[2,4,5,6,12,13,14],[2,4,6,7,9,11,14],[2,4,8,11,12,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,11,12],[3,4,5,7,10,11,14],[3,4,6,8,9,12,14],[3,4,6,8,10,11,13],[3,5,6,7,8,11,13],[3,5,6,9,10,12,13],[4,5,7,9,10,13,14]]; G[6464]:=Group([(1,12)(3,11)(4,10)(6,8)]); # Design 6465: autom. group order 2, simple, residual B[6465]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,10,11,13,14],[1,2,6,7,8,12,13],[1,3,5,8,11,12,14],[1,3,7,9,12,13,14],[1,4,5,8,9,12,13],[1,4,6,7,9,10,11],[1,4,7,8,10,11,13],[1,5,6,7,9,11,14],[1,6,8,9,10,12,14],[2,3,7,8,9,10,14],[2,3,7,8,9,11,13],[2,4,5,6,9,13,14],[2,4,6,8,11,12,14],[2,4,7,9,11,12,14],[2,5,6,7,8,10,12],[2,5,9,10,11,12,13],[3,4,5,7,10,12,14],[3,4,6,8,11,13,14],[3,4,6,9,10,12,13],[3,5,6,7,11,12,13],[3,5,6,8,9,10,11],[4,5,7,8,10,13,14]]; G[6465]:=Group([(1,11)(3,12)(5,14)(6,9)]); # Design 6466: autom. group order 2, simple B[6466]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,8,9,13,14],[1,3,5,7,11,13,14],[1,3,7,9,11,12,14],[1,4,5,7,9,10,13],[1,4,6,10,12,13,14],[1,4,7,8,9,12,14],[1,5,6,8,9,10,11],[1,6,7,8,10,11,12],[2,3,7,9,10,12,13],[2,3,8,9,10,11,14],[2,4,5,6,11,12,14],[2,4,6,7,9,11,14],[2,4,7,8,10,11,13],[2,5,6,7,9,10,12],[2,5,7,8,12,13,14],[3,4,5,8,10,12,14],[3,4,6,7,8,11,13],[3,4,6,8,9,12,13],[3,5,6,7,8,10,14],[3,5,6,9,11,12,13],[4,5,9,10,11,13,14]]; G[6466]:=Group([(1,14)(2,10)(4,8)(9,12)]); # Design 6467: autom. group order 2, simple B[6467]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,8,9,13,14],[1,3,5,7,11,13,14],[1,3,7,9,11,12,14],[1,4,5,7,9,10,13],[1,4,6,10,12,13,14],[1,4,7,8,9,12,14],[1,5,6,8,10,11,12],[1,6,7,8,9,10,11],[2,3,7,9,10,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,11,14],[2,4,6,7,11,12,14],[2,4,7,8,10,11,13],[2,5,6,7,9,10,12],[2,5,7,8,12,13,14],[3,4,5,8,10,12,14],[3,4,6,7,8,11,13],[3,4,6,8,9,12,13],[3,5,6,7,8,10,14],[3,5,6,9,11,12,13],[4,5,9,10,11,13,14]]; G[6467]:=Group([(1,14)(2,10)(4,8)(9,12)]); # Design 6468: autom. group order 2, simple, residual B[6468]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,10,11,12,14],[1,2,6,8,11,13,14],[1,3,5,9,12,13,14],[1,3,8,9,10,13,14],[1,4,5,7,12,13,14],[1,4,6,9,11,12,13],[1,4,7,8,10,11,14],[1,5,6,7,8,9,10],[1,6,7,8,9,11,12],[2,3,7,8,9,12,14],[2,3,7,8,11,12,13],[2,4,5,8,9,11,13],[2,4,6,7,9,12,14],[2,4,6,9,10,13,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,14],[3,4,5,6,8,11,14],[3,4,6,8,10,12,14],[3,4,7,9,10,11,13],[3,5,6,7,11,13,14],[3,5,6,9,10,11,12],[4,5,7,8,10,12,13]]; G[6468]:=Group([(1,14)(3,9)(4,7)(5,12)]); # Design 6469: autom. group order 2, simple, residual B[6469]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,10,11,12,14],[1,2,6,8,11,13,14],[1,3,5,9,12,13,14],[1,3,8,9,10,13,14],[1,4,5,7,12,13,14],[1,4,6,9,11,12,13],[1,4,7,8,10,11,14],[1,5,6,7,8,9,11],[1,6,7,8,9,10,12],[2,3,7,8,9,12,14],[2,3,7,8,11,12,13],[2,4,5,8,9,11,13],[2,4,6,7,9,12,14],[2,4,6,9,10,13,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,14],[3,4,5,6,8,10,14],[3,4,6,8,11,12,14],[3,4,7,9,10,11,13],[3,5,6,7,11,13,14],[3,5,6,9,10,11,12],[4,5,7,8,10,12,13]]; G[6469]:=Group([(1,14)(3,9)(4,7)(5,12)]); # Design 6470: autom. group order 2, simple, residual B[6470]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,10,11,12,14],[1,2,6,8,11,13,14],[1,3,5,9,12,13,14],[1,3,8,9,10,13,14],[1,4,5,7,12,13,14],[1,4,6,8,9,10,12],[1,4,7,8,10,11,14],[1,5,6,7,9,11,13],[1,6,7,8,9,11,12],[2,3,7,8,9,12,14],[2,3,7,8,11,12,13],[2,4,5,8,9,11,13],[2,4,6,7,9,12,14],[2,4,6,9,10,13,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,14],[3,4,5,6,8,11,14],[3,4,6,11,12,13,14],[3,4,7,9,10,11,13],[3,5,6,7,8,10,14],[3,5,6,9,10,11,12],[4,5,7,8,10,12,13]]; G[6470]:=Group([(1,14)(3,9)(4,7)(5,12)]); # Design 6471: autom. group order 2, simple, residual B[6471]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,10,11,12,14],[1,2,6,8,11,13,14],[1,3,5,9,12,13,14],[1,3,8,9,10,13,14],[1,4,5,7,12,13,14],[1,4,6,8,9,11,12],[1,4,7,8,10,11,14],[1,5,6,7,9,11,13],[1,6,7,8,9,10,12],[2,3,7,8,9,12,14],[2,3,7,8,11,12,13],[2,4,5,8,9,11,13],[2,4,6,7,9,12,14],[2,4,6,9,10,13,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,14],[3,4,5,6,8,10,14],[3,4,6,11,12,13,14],[3,4,7,9,10,11,13],[3,5,6,7,8,11,14],[3,5,6,9,10,11,12],[4,5,7,8,10,12,13]]; G[6471]:=Group([(1,14)(3,9)(4,7)(5,12)]); # Design 6472: autom. group order 2, simple, residual B[6472]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,10,11,12,14],[1,2,6,8,11,13,14],[1,3,5,9,12,13,14],[1,3,8,9,10,13,14],[1,4,5,7,12,13,14],[1,4,6,8,9,10,12],[1,4,7,8,10,11,14],[1,5,6,7,8,9,11],[1,6,7,9,11,12,13],[2,3,7,8,9,12,14],[2,3,7,8,11,12,13],[2,4,5,8,9,11,13],[2,4,6,7,9,12,14],[2,4,6,9,10,13,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,14],[3,4,5,6,11,13,14],[3,4,6,8,11,12,14],[3,4,7,9,10,11,13],[3,5,6,7,8,10,14],[3,5,6,9,10,11,12],[4,5,7,8,10,12,13]]; G[6472]:=Group([(1,14)(3,9)(4,7)(5,12)]); # Design 6473: autom. group order 2, simple, residual B[6473]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,10,11,12,14],[1,2,6,8,11,13,14],[1,3,5,9,12,13,14],[1,3,8,9,10,13,14],[1,4,5,7,12,13,14],[1,4,6,8,9,11,12],[1,4,7,8,10,11,14],[1,5,6,7,8,9,10],[1,6,7,9,11,12,13],[2,3,7,8,9,12,14],[2,3,7,8,11,12,13],[2,4,5,8,9,11,13],[2,4,6,7,9,12,14],[2,4,6,9,10,13,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,14],[3,4,5,6,11,13,14],[3,4,6,8,10,12,14],[3,4,7,9,10,11,13],[3,5,6,7,8,11,14],[3,5,6,9,10,11,12],[4,5,7,8,10,12,13]]; G[6473]:=Group([(1,14)(3,9)(4,7)(5,12)]); # Design 6474: autom. group order 2, simple, residual B[6474]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,13,14],[1,2,6,7,9,11,13],[1,3,5,9,10,11,14],[1,3,7,10,11,12,13],[1,4,5,8,11,12,13],[1,4,6,9,12,13,14],[1,4,7,8,9,10,14],[1,5,6,8,9,10,12],[1,6,7,8,11,12,14],[2,3,7,8,9,12,13],[2,3,8,9,11,12,14],[2,4,5,7,11,12,14],[2,4,6,7,9,10,12],[2,4,6,8,10,11,14],[2,5,6,8,10,11,13],[2,5,9,10,12,13,14],[3,4,5,6,12,13,14],[3,4,6,8,9,11,13],[3,4,7,8,10,13,14],[3,5,6,7,8,10,12],[3,5,6,7,9,11,14],[4,5,7,9,10,11,13]]; G[6474]:=Group([(1,9)(2,11)(4,14)(8,10)]); # Design 6475: autom. group order 2, simple, residual B[6475]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,6,7,9,11,13],[1,3,5,9,10,11,14],[1,3,7,10,11,12,13],[1,4,5,8,11,12,13],[1,4,6,9,12,13,14],[1,4,7,8,9,10,14],[1,5,6,8,9,10,12],[1,6,7,8,11,12,14],[2,3,7,8,9,12,13],[2,3,8,9,11,12,14],[2,4,5,7,11,12,14],[2,4,6,7,9,10,12],[2,4,6,8,10,11,14],[2,5,6,8,10,11,13],[2,5,9,10,12,13,14],[3,4,5,6,12,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,13,14],[3,5,6,7,8,10,12],[3,5,6,7,9,11,14],[4,5,7,8,9,11,13]]; G[6475]:=Group([(1,9)(2,11)(4,14)(8,10)]); # Design 6476: autom. group order 2, simple, residual B[6476]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,9,11,13],[1,3,5,7,8,12,13],[1,3,7,9,10,12,14],[1,4,5,8,10,11,14],[1,4,6,8,9,12,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,13],[1,6,7,8,11,12,14],[2,3,7,8,9,11,14],[2,3,8,10,12,13,14],[2,4,5,9,12,13,14],[2,4,6,7,8,12,13],[2,4,6,7,9,10,14],[2,5,6,7,10,11,12],[2,5,8,9,10,11,12],[3,4,5,6,11,12,14],[3,4,6,8,10,11,13],[3,4,7,9,11,12,13],[3,5,6,7,8,9,10],[3,5,6,9,11,13,14],[4,5,7,8,10,13,14]]; G[6476]:=Group([(1,12)(3,10)(4,11)(6,8)(7,9)]); # Design 6477: autom. group order 2, simple, residual B[6477]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,11,12,13,14],[1,2,6,7,8,11,13],[1,3,5,7,8,12,14],[1,3,7,9,10,11,14],[1,4,5,9,10,12,13],[1,4,6,7,9,11,14],[1,4,8,9,10,13,14],[1,5,6,8,9,11,12],[1,6,7,8,10,12,13],[2,3,7,8,9,10,12],[2,3,8,9,11,13,14],[2,4,5,7,10,11,13],[2,4,6,7,9,12,14],[2,4,6,8,10,12,14],[2,5,6,8,9,10,11],[2,5,7,9,12,13,14],[3,4,5,6,8,13,14],[3,4,6,9,11,12,13],[3,4,7,8,11,12,13],[3,5,6,7,9,10,13],[3,5,6,10,11,12,14],[4,5,7,8,10,11,14]]; G[6477]:=Group([(1,11)(2,12)(5,13)(7,9)]); # Design 6478: autom. group order 2, simple, residual B[6478]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,11,13],[1,3,5,7,9,12,13],[1,3,7,8,10,12,14],[1,4,5,9,10,11,14],[1,4,6,8,9,12,14],[1,4,7,8,10,11,13],[1,5,6,8,10,12,13],[1,6,7,9,11,12,14],[2,3,7,8,9,11,14],[2,3,9,10,12,13,14],[2,4,5,7,12,13,14],[2,4,6,7,8,10,14],[2,4,6,8,9,12,13],[2,5,6,7,10,11,12],[2,5,8,9,10,11,12],[3,4,5,6,11,12,14],[3,4,6,9,10,11,13],[3,4,7,8,11,12,13],[3,5,6,7,8,9,10],[3,5,6,8,11,13,14],[4,5,7,9,10,13,14]]; G[6478]:=Group([(1,12)(3,10)(4,11)(6,9)(7,8)]); # Design 6479: autom. group order 2, simple, residual B[6479]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,9,11,14],[1,3,5,7,8,12,14],[1,3,8,9,11,12,13],[1,4,5,9,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,13,14],[1,5,6,7,9,10,12],[1,6,7,8,11,12,13],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,11,12,13,14],[2,4,6,7,8,12,13],[2,4,6,8,9,12,14],[2,5,6,9,10,11,12],[2,5,7,8,10,13,14],[3,4,5,6,7,11,13],[3,4,6,8,9,10,13],[3,4,7,10,11,12,14],[3,5,6,8,10,12,14],[3,5,6,9,11,13,14],[4,5,7,8,9,10,11]]; G[6479]:=Group([(2,11)(3,8)(4,13)(5,12)]); # Design 6480: autom. group order 2, simple, residual B[6480]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,9,11,14],[1,3,5,7,8,12,14],[1,3,8,9,11,12,13],[1,4,5,9,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,13,14],[1,5,6,7,9,10,12],[1,6,7,8,11,12,13],[2,3,7,8,9,11,14],[2,3,7,10,12,13,14],[2,4,5,11,12,13,14],[2,4,6,7,8,12,13],[2,4,6,8,9,12,14],[2,5,6,9,10,11,12],[2,5,7,8,9,10,13],[3,4,5,6,7,11,13],[3,4,6,8,9,10,13],[3,4,7,9,10,11,12],[3,5,6,8,10,12,14],[3,5,6,9,11,13,14],[4,5,7,8,10,11,14]]; G[6480]:=Group([(2,11)(3,8)(4,13)(5,12)]); # Design 6481: autom. group order 2, simple, residual B[6481]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,9,11,14],[1,3,5,7,8,12,14],[1,3,8,9,11,12,13],[1,4,5,9,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,13,14],[1,5,6,7,9,10,12],[1,6,7,8,11,12,13],[2,3,7,8,9,11,14],[2,3,7,10,12,13,14],[2,4,5,11,12,13,14],[2,4,6,7,8,12,13],[2,4,6,8,9,10,12],[2,5,6,8,9,13,14],[2,5,7,9,10,11,12],[3,4,5,6,7,11,13],[3,4,6,9,11,12,14],[3,4,7,8,9,10,13],[3,5,6,8,10,12,14],[3,5,6,9,10,11,13],[4,5,7,8,10,11,14]]; G[6481]:=Group([(2,11)(3,8)(4,13)(5,12)]); # Design 6482: autom. group order 2, simple, residual B[6482]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,9,11,14],[1,3,5,7,8,12,14],[1,3,8,9,11,12,13],[1,4,5,9,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,13,14],[1,5,6,7,9,10,12],[1,6,7,8,11,12,13],[2,3,7,8,9,11,14],[2,3,7,10,12,13,14],[2,4,5,11,12,13,14],[2,4,6,7,8,12,13],[2,4,6,8,9,12,14],[2,5,6,8,9,10,13],[2,5,7,9,10,11,12],[3,4,5,6,7,11,13],[3,4,6,9,10,11,12],[3,4,7,8,9,10,13],[3,5,6,8,10,12,14],[3,5,6,9,11,13,14],[4,5,7,8,10,11,14]]; G[6482]:=Group([(2,11)(3,8)(4,13)(5,12)]); # Design 6483: autom. group order 2, simple, residual B[6483]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,11,12,13,14],[1,2,6,7,8,11,13],[1,3,5,9,10,11,13],[1,3,7,8,9,12,14],[1,4,5,7,8,10,14],[1,4,6,7,9,11,14],[1,4,8,9,10,12,13],[1,5,6,8,11,12,14],[1,6,7,9,10,12,13],[2,3,7,8,10,13,14],[2,3,7,9,11,12,14],[2,4,5,9,12,13,14],[2,4,6,8,9,11,13],[2,4,6,8,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,11],[3,4,5,6,7,12,13],[3,4,6,9,10,11,14],[3,4,7,8,11,12,13],[3,5,6,8,9,13,14],[3,5,6,8,10,11,12],[4,5,7,10,11,13,14]]; G[6483]:=Group([(2,13)(3,10)(4,9)(5,12)]); # Design 6484: autom. group order 2, simple, residual B[6484]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,11,12,13,14],[1,2,6,7,8,11,13],[1,3,5,9,10,11,13],[1,3,7,8,9,12,14],[1,4,5,7,8,10,14],[1,4,6,7,9,11,14],[1,4,8,9,10,12,13],[1,5,6,8,11,12,14],[1,6,7,9,10,12,13],[2,3,7,8,9,11,12],[2,3,7,8,10,13,14],[2,4,5,9,12,13,14],[2,4,6,8,9,11,13],[2,4,6,8,10,12,14],[2,5,6,7,9,10,12],[2,5,7,9,10,11,14],[3,4,5,6,7,12,13],[3,4,6,9,10,11,14],[3,4,7,11,12,13,14],[3,5,6,8,9,13,14],[3,5,6,8,10,11,12],[4,5,7,8,10,11,13]]; G[6484]:=Group([(2,13)(3,10)(4,9)(5,12)]); # Design 6485: autom. group order 2, simple, residual B[6485]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,13,14],[1,2,6,7,9,12,13],[1,3,5,9,10,12,14],[1,3,7,10,11,12,13],[1,4,5,7,8,12,13],[1,4,6,9,11,13,14],[1,4,7,8,9,10,14],[1,5,6,8,9,10,11],[1,6,7,8,11,12,14],[2,3,7,8,9,11,13],[2,3,8,9,11,12,14],[2,4,5,7,11,12,14],[2,4,6,7,9,10,11],[2,4,6,8,10,12,14],[2,5,6,8,10,12,13],[2,5,7,9,10,13,14],[3,4,5,6,11,13,14],[3,4,6,9,10,12,13],[3,4,7,8,10,13,14],[3,5,6,7,8,10,11],[3,5,6,7,9,12,14],[4,5,8,9,11,12,13]]; G[6485]:=Group([(1,9)(2,12)(4,14)(8,10)]); # Design 6486: autom. group order 2, simple, residual B[6486]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,11,12,13,14],[1,2,6,8,9,11,13],[1,3,5,8,9,12,14],[1,3,7,8,10,11,14],[1,4,5,7,10,12,13],[1,4,6,7,8,11,14],[1,4,7,9,10,13,14],[1,5,6,7,9,11,12],[1,6,8,9,10,12,13],[2,3,7,8,9,10,12],[2,3,7,9,11,13,14],[2,4,5,8,10,11,13],[2,4,6,7,8,12,14],[2,4,6,9,10,12,14],[2,5,6,7,9,10,11],[2,5,7,8,12,13,14],[3,4,5,6,9,13,14],[3,4,6,8,11,12,13],[3,4,7,9,11,12,13],[3,5,6,7,8,10,13],[3,5,6,10,11,12,14],[4,5,8,9,10,11,14]]; G[6486]:=Group([(1,11)(2,12)(5,13)(7,8)]); # Design 6487: autom. group order 2, simple B[6487]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,7,9,12,14],[1,3,5,9,11,12,13],[1,3,7,10,11,12,14],[1,4,5,8,9,12,14],[1,4,6,7,9,10,13],[1,4,8,10,12,13,14],[1,5,6,8,11,13,14],[1,6,7,8,9,10,11],[2,3,7,8,9,11,14],[2,3,8,9,10,13,14],[2,4,5,7,10,13,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,13],[2,5,6,8,10,11,12],[2,5,6,9,10,12,14],[3,4,5,6,10,11,14],[3,4,6,7,8,12,14],[3,4,6,9,11,13,14],[3,5,6,7,8,12,13],[3,5,7,9,10,12,13],[4,5,7,8,9,10,11]]; G[6487]:=Group([(1,11)(3,12)(5,13)(6,8)]); # Design 6488: autom. group order 2, simple B[6488]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,7,9,12,14],[1,3,5,9,11,12,13],[1,3,7,10,11,12,14],[1,4,5,8,10,12,14],[1,4,6,7,9,10,13],[1,4,8,9,12,13,14],[1,5,6,8,11,13,14],[1,6,7,8,9,10,11],[2,3,7,8,9,11,14],[2,3,8,9,10,13,14],[2,4,5,7,10,13,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,13],[2,5,6,8,10,11,12],[2,5,6,9,10,12,14],[3,4,5,6,9,11,14],[3,4,6,7,8,12,14],[3,4,6,10,11,13,14],[3,5,6,7,8,12,13],[3,5,7,9,10,12,13],[4,5,7,8,9,10,11]]; G[6488]:=Group([(1,11)(3,12)(5,13)(6,8)]); # Design 6489: autom. group order 2, simple, residual B[6489]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,7,9,12,14],[1,3,5,11,12,13,14],[1,3,7,9,10,11,12],[1,4,5,8,10,12,14],[1,4,6,7,9,10,13],[1,4,8,9,12,13,14],[1,5,6,8,9,11,13],[1,6,7,8,10,11,14],[2,3,7,8,9,11,14],[2,3,8,9,10,13,14],[2,4,5,7,10,13,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,13],[2,5,6,8,10,11,12],[2,5,6,9,10,12,14],[3,4,5,6,9,11,14],[3,4,6,7,8,12,14],[3,4,6,10,11,13,14],[3,5,6,7,8,12,13],[3,5,7,9,10,12,13],[4,5,7,8,9,10,11]]; G[6489]:=Group([(1,11)(3,12)(5,13)(6,8)]); # Design 6490: autom. group order 2, simple, residual B[6490]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,6,7,9,11,12],[1,3,5,9,10,11,13],[1,3,7,10,11,12,14],[1,4,5,8,9,11,14],[1,4,6,9,12,13,14],[1,4,7,8,11,12,13],[1,5,6,8,10,12,13],[1,6,7,8,9,10,14],[2,3,7,8,9,12,13],[2,3,8,9,10,12,14],[2,4,5,7,12,13,14],[2,4,6,9,10,11,13],[2,4,8,10,11,13,14],[2,5,6,7,8,10,11],[2,5,6,9,11,12,14],[3,4,5,6,10,12,14],[3,4,6,7,8,11,14],[3,4,6,7,9,10,13],[3,5,6,8,11,12,13],[3,5,7,9,11,13,14],[4,5,7,8,9,10,12]]; G[6490]:=Group([(1,10)(3,11)(5,13)(6,8)(7,14)]); # Design 6491: autom. group order 2, simple, residual B[6491]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,6,7,9,11,12],[1,3,5,9,10,11,13],[1,3,7,10,11,12,14],[1,4,5,8,11,12,14],[1,4,6,9,12,13,14],[1,4,7,8,9,11,13],[1,5,6,8,10,12,13],[1,6,7,8,9,10,14],[2,3,7,8,9,12,13],[2,3,8,9,10,12,14],[2,4,5,7,12,13,14],[2,4,6,9,10,11,13],[2,4,8,10,11,13,14],[2,5,6,7,8,10,11],[2,5,6,9,11,12,14],[3,4,5,6,9,10,14],[3,4,6,7,8,11,14],[3,4,6,7,10,12,13],[3,5,6,8,11,12,13],[3,5,7,9,11,13,14],[4,5,7,8,9,10,12]]; G[6491]:=Group([(1,10)(3,11)(5,13)(6,8)(7,14)]); # Design 6492: autom. group order 2, simple, residual B[6492]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,7,9,12,14],[1,3,5,9,10,13,14],[1,3,7,11,12,13,14],[1,4,5,8,11,12,14],[1,4,6,9,10,11,12],[1,4,7,8,9,10,14],[1,5,6,8,10,12,13],[1,6,7,8,9,11,13],[2,3,7,8,9,10,12],[2,3,8,9,11,12,13],[2,4,5,7,12,13,14],[2,4,6,9,10,13,14],[2,4,8,10,11,13,14],[2,5,6,7,8,10,11],[2,5,6,9,11,12,14],[3,4,5,6,9,11,13],[3,4,6,7,8,11,14],[3,4,6,7,10,12,13],[3,5,6,8,10,12,14],[3,5,7,9,10,11,14],[4,5,7,8,9,12,13]]; G[6492]:=Group([(1,13)(3,14)(5,10)(6,8)(7,11)]); # Design 6493: autom. group order 2, simple, residual B[6493]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,6,7,9,11,12],[1,3,5,10,11,12,13],[1,3,7,9,10,11,14],[1,4,5,8,11,12,14],[1,4,6,9,12,13,14],[1,4,7,8,9,11,13],[1,5,6,8,9,10,13],[1,6,7,8,10,12,14],[2,3,7,8,9,12,13],[2,3,8,9,10,12,14],[2,4,5,7,12,13,14],[2,4,6,9,10,11,13],[2,4,8,10,11,13,14],[2,5,6,7,8,10,11],[2,5,6,9,11,12,14],[3,4,5,6,9,10,14],[3,4,6,7,8,11,14],[3,4,6,7,10,12,13],[3,5,6,8,11,12,13],[3,5,7,9,11,13,14],[4,5,7,8,9,10,12]]; G[6493]:=Group([(1,10)(3,11)(5,13)(6,8)(7,14)]); # Design 6494: autom. group order 2, simple, residual B[6494]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,8,12,14],[1,3,5,11,12,13,14],[1,3,8,9,10,12,13],[1,4,5,8,9,10,14],[1,4,6,7,9,10,13],[1,4,7,10,11,12,14],[1,5,6,7,9,11,12],[1,6,8,9,11,13,14],[2,3,7,8,9,11,14],[2,3,7,9,10,11,13],[2,4,5,9,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,12,13,14],[2,5,6,8,10,12,13],[2,5,6,9,10,11,12],[3,4,5,6,11,13,14],[3,4,6,7,8,12,13],[3,4,6,8,9,11,12],[3,5,6,7,9,10,14],[3,5,7,8,10,12,14],[4,5,7,8,10,11,13]]; G[6494]:=Group([(1,6)(2,9)(3,11)(4,12)(8,10)(13,14)]); # Design 6495: autom. group order 2, simple, residual B[6495]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,11,12,13],[1,3,5,7,9,11,12],[1,3,7,8,10,13,14],[1,4,5,8,10,11,14],[1,4,6,8,9,12,13],[1,4,7,9,12,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,11],[2,3,7,8,9,12,14],[2,3,9,10,11,12,13],[2,4,5,8,9,10,13],[2,4,6,7,9,11,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,13],[2,5,6,8,11,12,14],[3,4,5,6,12,13,14],[3,4,6,7,8,11,13],[3,4,6,9,10,11,14],[3,5,6,7,8,10,12],[3,5,8,9,11,13,14],[4,5,7,10,11,12,13]]; G[6495]:=Group([(1,13)(3,10)(4,9)]); # Design 6496: autom. group order 2, simple, residual B[6496]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,11,12,13],[1,3,5,7,9,11,12],[1,3,7,8,9,13,14],[1,4,5,8,10,11,14],[1,4,6,8,9,12,13],[1,4,7,10,12,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,11],[2,3,7,8,10,12,14],[2,3,8,9,10,11,13],[2,4,5,9,10,12,13],[2,4,6,7,9,11,14],[2,4,7,8,9,12,14],[2,5,6,7,9,10,13],[2,5,6,8,11,12,14],[3,4,5,6,8,13,14],[3,4,6,7,11,12,13],[3,4,6,9,10,11,14],[3,5,6,7,8,10,12],[3,5,9,11,12,13,14],[4,5,7,8,10,11,13]]; G[6496]:=Group([(1,13)(3,10)(4,9)(8,12)]); # Design 6497: autom. group order 2, simple, residual B[6497]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,11,12,13],[1,3,5,7,9,11,12],[1,3,7,8,9,13,14],[1,4,5,8,10,11,14],[1,4,6,8,9,12,13],[1,4,7,10,12,13,14],[1,5,6,8,9,10,14],[1,6,7,9,10,11,12],[2,3,7,8,10,12,14],[2,3,8,9,10,11,13],[2,4,5,9,10,12,13],[2,4,6,7,9,11,14],[2,4,7,8,9,12,14],[2,5,6,7,9,10,13],[2,5,6,8,11,12,14],[3,4,5,6,12,13,14],[3,4,6,7,8,11,13],[3,4,6,9,10,11,14],[3,5,6,7,8,10,12],[3,5,9,11,12,13,14],[4,5,7,8,10,11,13]]; G[6497]:=Group([(1,13)(3,10)(4,9)(8,12)]); # Design 6498: autom. group order 2, simple, residual B[6498]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,11,12,13],[1,3,5,9,11,12,14],[1,3,7,8,9,13,14],[1,4,5,7,8,10,11],[1,4,6,8,9,12,13],[1,4,7,10,12,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,11],[2,3,7,8,10,12,14],[2,3,8,9,10,11,13],[2,4,5,9,10,12,13],[2,4,6,7,9,11,14],[2,4,7,8,9,12,14],[2,5,6,7,9,10,13],[2,5,6,8,11,12,14],[3,4,5,6,8,13,14],[3,4,6,7,11,12,13],[3,4,6,9,10,11,14],[3,5,6,7,8,10,12],[3,5,7,9,11,12,13],[4,5,8,10,11,13,14]]; G[6498]:=Group([(1,13)(3,10)(4,9)(8,12)]); # Design 6499: autom. group order 2, simple, residual B[6499]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,11,12,13],[1,3,5,9,11,12,14],[1,3,7,8,9,13,14],[1,4,5,7,8,10,11],[1,4,6,8,9,12,13],[1,4,7,10,12,13,14],[1,5,6,8,9,10,14],[1,6,7,9,10,11,12],[2,3,7,8,10,12,14],[2,3,8,9,10,11,13],[2,4,5,9,10,12,13],[2,4,6,7,9,11,14],[2,4,7,8,9,12,14],[2,5,6,7,9,10,13],[2,5,6,8,11,12,14],[3,4,5,6,12,13,14],[3,4,6,7,8,11,13],[3,4,6,9,10,11,14],[3,5,6,7,8,10,12],[3,5,7,9,11,12,13],[4,5,8,10,11,13,14]]; G[6499]:=Group([(1,13)(3,10)(4,9)(8,12)]); # Design 6500: autom. group order 2, simple, residual B[6500]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,11,12,13],[1,3,5,8,9,11,14],[1,3,7,8,10,13,14],[1,4,5,7,10,11,12],[1,4,6,8,9,12,13],[1,4,7,9,12,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,11],[2,3,7,8,9,12,14],[2,3,9,10,11,12,13],[2,4,5,8,9,10,13],[2,4,6,7,9,11,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,13],[2,5,6,8,11,12,14],[3,4,5,6,12,13,14],[3,4,6,7,8,11,13],[3,4,6,9,10,11,14],[3,5,6,7,8,10,12],[3,5,7,9,11,12,13],[4,5,8,10,11,13,14]]; G[6500]:=Group([(1,13)(3,10)(4,9)]); # Design 6501: autom. group order 2, simple, residual B[6501]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,8,12,14],[1,3,5,7,9,13,14],[1,3,7,8,11,12,14],[1,4,5,9,11,12,14],[1,4,6,10,11,13,14],[1,4,7,8,9,10,13],[1,5,6,8,9,10,12],[1,6,7,9,11,12,13],[2,3,7,9,10,11,14],[2,3,8,9,11,12,13],[2,4,5,7,12,13,14],[2,4,6,8,9,11,14],[2,4,7,9,10,12,13],[2,5,6,7,8,11,13],[2,5,6,9,10,12,14],[3,4,5,6,11,12,13],[3,4,6,7,8,10,12],[3,4,6,8,9,13,14],[3,5,6,7,9,10,11],[3,5,8,10,12,13,14],[4,5,7,8,10,11,14]]; G[6501]:=Group([(1,8)(3,11)(4,13)(9,10)]); # Design 6502: autom. group order 2, simple B[6502]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,8,9,11],[1,3,5,7,10,12,14],[1,3,7,8,11,13,14],[1,4,5,9,12,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,11,13],[1,5,6,9,10,11,13],[1,6,7,8,9,12,14],[2,3,7,9,11,12,14],[2,3,8,9,10,12,13],[2,4,5,7,8,13,14],[2,4,6,8,10,11,14],[2,4,7,9,10,13,14],[2,5,6,7,9,10,12],[2,5,6,11,12,13,14],[3,4,5,6,9,11,14],[3,4,6,7,11,12,13],[3,4,6,8,9,12,13],[3,5,6,7,8,10,13],[3,5,8,9,10,11,14],[4,5,7,8,10,11,12]]; G[6502]:=Group([(1,14)(2,11)(4,9)(6,8)(7,10)]); # Design 6503: autom. group order 2, simple, residual B[6503]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,9,12,14],[1,3,5,7,10,13,14],[1,3,7,9,11,12,14],[1,4,5,8,11,12,14],[1,4,6,10,11,13,14],[1,4,7,8,9,10,13],[1,5,6,8,9,10,12],[1,6,7,8,11,12,13],[2,3,7,8,10,11,14],[2,3,8,9,11,12,13],[2,4,5,7,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,9,11,13],[2,5,6,8,10,12,14],[3,4,5,6,11,12,13],[3,4,6,7,9,10,12],[3,4,6,8,9,13,14],[3,5,6,7,8,10,11],[3,5,9,10,12,13,14],[4,5,7,8,9,11,14]]; G[6503]:=Group([(1,9)(3,11)(4,13)(8,10)]); # Design 6504: autom. group order 2, simple B[6504]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,7,9,12,14],[1,3,5,7,11,12,13],[1,3,9,10,11,12,14],[1,4,5,7,8,12,14],[1,4,6,7,9,10,13],[1,4,8,10,12,13,14],[1,5,6,8,11,13,14],[1,6,7,8,9,10,11],[2,3,7,8,9,11,14],[2,3,7,8,10,13,14],[2,4,5,9,10,13,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,13],[2,5,6,7,10,12,14],[2,5,6,8,10,11,12],[3,4,5,6,10,11,14],[3,4,6,7,11,13,14],[3,4,6,8,9,12,14],[3,5,6,8,9,12,13],[3,5,7,9,10,12,13],[4,5,7,8,9,10,11]]; G[6504]:=Group([(1,11)(3,12)(5,13)(6,8)]); # Design 6505: autom. group order 2, simple B[6505]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,12,14],[1,2,6,7,8,12,13],[1,3,5,7,9,13,14],[1,3,8,9,11,12,14],[1,4,5,7,12,13,14],[1,4,6,8,10,13,14],[1,4,9,10,11,13,14],[1,5,6,7,9,10,11],[1,6,7,8,9,11,12],[2,3,7,8,9,10,14],[2,3,7,11,12,13,14],[2,4,5,9,11,12,13],[2,4,6,7,9,11,14],[2,4,7,8,9,10,13],[2,5,6,8,11,13,14],[2,5,6,9,10,12,14],[3,4,5,6,8,11,14],[3,4,6,7,10,12,14],[3,4,6,8,9,12,13],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,7,8,10,11,12]]; G[6505]:=Group([(2,14)(3,13)(5,10)(6,9)(7,11)]); # Design 6506: autom. group order 2, simple, residual B[6506]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,12,14],[1,2,6,7,8,12,13],[1,3,5,7,9,13,14],[1,3,8,9,11,12,14],[1,4,5,7,12,13,14],[1,4,6,8,10,13,14],[1,4,9,10,11,13,14],[1,5,6,7,9,10,11],[1,6,7,8,9,11,12],[2,3,7,8,11,13,14],[2,3,7,9,10,12,14],[2,4,5,9,11,12,13],[2,4,6,7,9,11,14],[2,4,7,8,9,10,13],[2,5,6,8,9,10,14],[2,5,6,11,12,13,14],[3,4,5,6,8,11,14],[3,4,6,7,10,12,14],[3,4,6,8,9,12,13],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,7,8,10,11,12]]; G[6506]:=Group([(2,14)(3,13)(5,10)(6,9)(7,11)]); # Design 6507: autom. group order 2, simple, residual B[6507]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,12,14],[1,2,6,7,8,12,13],[1,3,5,7,9,13,14],[1,3,8,9,11,12,14],[1,4,5,7,12,13,14],[1,4,6,8,10,13,14],[1,4,9,10,11,13,14],[1,5,6,7,9,10,11],[1,6,7,8,9,11,12],[2,3,7,8,11,13,14],[2,3,7,9,10,12,14],[2,4,5,8,9,11,13],[2,4,6,7,9,11,14],[2,4,7,9,10,12,13],[2,5,6,8,9,10,14],[2,5,6,11,12,13,14],[3,4,5,6,11,12,14],[3,4,6,7,8,10,14],[3,4,6,8,9,12,13],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,7,8,10,11,12]]; G[6507]:=Group([(2,14)(3,13)(5,10)(6,9)(7,11)]); # Design 6508: autom. group order 2, simple B[6508]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,7,9,12,14],[1,3,5,7,11,12,13],[1,3,9,10,11,12,14],[1,4,5,8,10,12,14],[1,4,6,7,9,10,13],[1,4,7,8,12,13,14],[1,5,6,8,11,13,14],[1,6,7,8,9,10,11],[2,3,7,8,9,11,14],[2,3,7,8,10,13,14],[2,4,5,9,10,13,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,13],[2,5,6,7,10,12,14],[2,5,6,8,10,11,12],[3,4,5,6,7,11,14],[3,4,6,8,9,12,14],[3,4,6,10,11,13,14],[3,5,6,8,9,12,13],[3,5,7,9,10,12,13],[4,5,7,8,9,10,11]]; G[6508]:=Group([(1,11)(3,12)(5,13)(6,8)]); # Design 6509: autom. group order 2, simple, residual B[6509]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,9,11,14],[1,3,5,7,8,12,14],[1,3,8,9,11,12,13],[1,4,5,9,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,13,14],[1,5,6,7,9,10,12],[1,6,7,8,11,12,13],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,11,12,13,14],[2,4,6,7,8,12,13],[2,4,7,8,10,12,14],[2,5,6,8,9,13,14],[2,5,6,9,10,11,12],[3,4,5,6,7,11,13],[3,4,6,8,9,10,13],[3,4,6,9,11,12,14],[3,5,6,8,10,12,14],[3,5,7,10,11,13,14],[4,5,7,8,9,10,11]]; G[6509]:=Group([(2,11)(3,8)(4,13)(5,12)]); # Design 6510: autom. group order 2, simple, residual B[6510]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,9,11,14],[1,3,5,7,8,12,14],[1,3,8,9,11,12,13],[1,4,5,9,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,13,14],[1,5,6,7,9,10,12],[1,6,7,8,11,12,13],[2,3,7,8,9,11,14],[2,3,7,10,12,13,14],[2,4,5,11,12,13,14],[2,4,6,7,8,12,13],[2,4,7,8,9,10,12],[2,5,6,8,9,13,14],[2,5,6,9,10,11,12],[3,4,5,6,7,11,13],[3,4,6,8,9,10,13],[3,4,6,9,11,12,14],[3,5,6,8,10,12,14],[3,5,7,9,10,11,13],[4,5,7,8,10,11,14]]; G[6510]:=Group([(2,11)(3,8)(4,13)(5,12)]); # Design 6511: autom. group order 2, simple, residual B[6511]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,7,9,12,14],[1,3,5,11,12,13,14],[1,3,7,9,10,11,12],[1,4,5,7,8,12,14],[1,4,6,7,9,10,13],[1,4,8,10,12,13,14],[1,5,6,7,8,11,13],[1,6,8,9,10,11,14],[2,3,7,8,9,11,14],[2,3,7,8,10,13,14],[2,4,5,9,10,13,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,13],[2,5,6,7,10,12,14],[2,5,6,8,10,11,12],[3,4,5,6,10,11,14],[3,4,6,7,11,13,14],[3,4,6,8,9,12,14],[3,5,6,8,9,12,13],[3,5,7,9,10,12,13],[4,5,7,8,9,10,11]]; G[6511]:=Group([(1,11)(3,12)(5,13)(6,8)]); # Design 6512: autom. group order 2, simple, residual B[6512]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,11,12,13,14],[1,2,6,7,8,11,13],[1,3,5,9,10,11,13],[1,3,7,8,9,12,14],[1,4,5,7,8,10,14],[1,4,6,7,9,11,14],[1,4,8,9,10,12,13],[1,5,6,8,11,12,14],[1,6,7,9,10,12,13],[2,3,7,8,10,13,14],[2,3,7,9,11,12,14],[2,4,5,9,12,13,14],[2,4,6,8,9,11,13],[2,4,7,8,10,11,12],[2,5,6,7,9,10,12],[2,5,6,8,9,10,14],[3,4,5,6,7,12,13],[3,4,6,8,12,13,14],[3,4,6,9,10,11,14],[3,5,6,8,10,11,12],[3,5,7,8,9,11,13],[4,5,7,10,11,13,14]]; G[6512]:=Group([(2,13)(3,10)(4,9)(5,12)]); # Design 6513: autom. group order 2, simple, residual B[6513]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,11,12,13,14],[1,2,6,7,8,11,13],[1,3,5,9,10,11,13],[1,3,7,8,9,12,14],[1,4,5,7,8,10,14],[1,4,6,7,9,11,14],[1,4,8,9,10,12,13],[1,5,6,8,11,12,14],[1,6,7,9,10,12,13],[2,3,7,8,10,13,14],[2,3,7,9,11,12,14],[2,4,5,9,12,13,14],[2,4,6,8,10,11,12],[2,4,7,8,9,11,13],[2,5,6,7,9,10,12],[2,5,6,8,9,10,14],[3,4,5,6,7,12,13],[3,4,6,8,12,13,14],[3,4,6,9,10,11,14],[3,5,6,8,9,11,13],[3,5,7,8,10,11,12],[4,5,7,10,11,13,14]]; G[6513]:=Group([(2,13)(3,10)(4,9)(5,12)]); # Design 6514: autom. group order 2, simple, residual B[6514]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,11,12,13,14],[1,2,6,7,8,11,13],[1,3,5,9,10,11,13],[1,3,7,8,9,12,14],[1,4,5,7,8,10,14],[1,4,6,7,9,11,14],[1,4,8,9,10,12,13],[1,5,6,8,11,12,14],[1,6,7,9,10,12,13],[2,3,7,8,10,13,14],[2,3,7,9,11,12,14],[2,4,5,9,12,13,14],[2,4,6,8,10,12,14],[2,4,7,8,9,11,13],[2,5,6,7,9,10,12],[2,5,6,8,9,10,11],[3,4,5,6,7,12,13],[3,4,6,8,11,12,13],[3,4,6,9,10,11,14],[3,5,6,8,9,13,14],[3,5,7,8,10,11,12],[4,5,7,10,11,13,14]]; G[6514]:=Group([(2,13)(3,10)(4,9)(5,12)]); # Design 6515: autom. group order 2, simple, residual B[6515]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,11,12,13,14],[1,2,6,7,8,11,13],[1,3,5,9,10,11,13],[1,3,7,8,9,12,14],[1,4,5,7,8,10,14],[1,4,6,7,9,11,14],[1,4,8,9,10,12,13],[1,5,6,8,11,12,14],[1,6,7,9,10,12,13],[2,3,7,8,9,11,12],[2,3,7,8,10,13,14],[2,4,5,9,12,13,14],[2,4,6,8,9,11,13],[2,4,7,10,11,12,14],[2,5,6,7,9,10,12],[2,5,6,8,9,10,14],[3,4,5,6,7,12,13],[3,4,6,8,12,13,14],[3,4,6,9,10,11,14],[3,5,6,8,10,11,12],[3,5,7,9,11,13,14],[4,5,7,8,10,11,13]]; G[6515]:=Group([(2,13)(3,10)(4,9)(5,12)]); # Design 6516: autom. group order 2, simple, residual B[6516]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,9,11,14],[1,3,5,9,11,12,14],[1,3,7,8,9,10,14],[1,4,5,7,10,12,13],[1,4,6,11,12,13,14],[1,4,7,8,9,11,13],[1,5,6,7,8,12,14],[1,6,8,9,10,12,13],[2,3,7,8,11,12,13],[2,3,7,8,12,13,14],[2,4,5,9,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,10,12,14],[2,5,6,7,9,10,13],[2,5,6,8,9,11,12],[3,4,5,6,8,13,14],[3,4,6,7,9,11,13],[3,4,6,8,9,10,12],[3,5,6,7,10,11,12],[3,5,9,10,11,13,14],[4,5,7,8,10,11,14]]; G[6516]:=Group([(1,6)(2,12)(3,8)(4,9)(5,10)(7,13)]); # Design 6517: autom. group order 2, simple, residual B[6517]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,8,12,14],[1,3,5,9,12,13,14],[1,3,7,8,11,12,14],[1,4,5,7,9,11,14],[1,4,6,10,11,13,14],[1,4,7,8,9,10,13],[1,5,6,8,9,10,12],[1,6,7,9,11,12,13],[2,3,7,9,10,11,14],[2,3,8,9,11,12,13],[2,4,5,7,12,13,14],[2,4,6,8,9,11,14],[2,4,7,9,10,12,13],[2,5,6,7,8,11,13],[2,5,6,9,10,12,14],[3,4,5,6,11,12,13],[3,4,6,7,8,10,12],[3,4,6,8,9,13,14],[3,5,6,7,9,10,11],[3,5,7,8,10,13,14],[4,5,8,10,11,12,14]]; G[6517]:=Group([(1,8)(3,11)(4,13)(9,10)]); # Design 6518: autom. group order 2, simple, residual B[6518]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,9,12,14],[1,3,5,10,12,13,14],[1,3,7,9,11,12,14],[1,4,5,7,8,11,14],[1,4,6,10,11,13,14],[1,4,7,8,9,10,13],[1,5,6,8,9,10,12],[1,6,7,8,11,12,13],[2,3,7,8,10,11,14],[2,3,8,9,11,12,13],[2,4,5,7,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,9,11,13],[2,5,6,8,10,12,14],[3,4,5,6,11,12,13],[3,4,6,7,9,10,12],[3,4,6,8,9,13,14],[3,5,6,7,8,10,11],[3,5,7,9,10,13,14],[4,5,8,9,11,12,14]]; G[6518]:=Group([(1,9)(3,11)(4,13)(8,10)]); # Design 6519: autom. group order 2, simple, residual B[6519]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,7,9,12,14],[1,3,5,11,12,13,14],[1,3,7,9,10,11,12],[1,4,5,8,10,12,14],[1,4,6,7,9,10,13],[1,4,7,8,12,13,14],[1,5,6,7,8,11,13],[1,6,8,9,10,11,14],[2,3,7,8,9,11,14],[2,3,7,8,10,13,14],[2,4,5,9,10,13,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,13],[2,5,6,7,10,12,14],[2,5,6,8,10,11,12],[3,4,5,6,7,11,14],[3,4,6,8,9,12,14],[3,4,6,10,11,13,14],[3,5,6,8,9,12,13],[3,5,7,9,10,12,13],[4,5,7,8,9,10,11]]; G[6519]:=Group([(1,11)(3,12)(5,13)(6,8)]); # Design 6520: autom. group order 2, simple B[6520]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,8,9,11,14],[1,3,5,7,8,12,14],[1,3,7,9,10,11,13],[1,4,5,7,10,13,14],[1,4,6,7,9,11,13],[1,4,8,9,12,13,14],[1,5,6,10,11,12,14],[1,6,7,8,9,10,12],[2,3,7,8,9,10,14],[2,3,7,11,12,13,14],[2,4,5,9,10,12,13],[2,4,6,8,10,13,14],[2,4,7,9,11,12,14],[2,5,6,7,8,11,13],[2,5,6,7,9,10,12],[3,4,5,6,9,11,14],[3,4,6,7,8,12,13],[3,4,6,8,10,11,12],[3,5,6,9,12,13,14],[3,5,8,9,10,11,13],[4,5,7,8,10,11,14]]; G[6520]:=Group([(1,8)(2,5)(3,11)(4,13)(6,7)(9,12)]); # Design 6521: autom. group order 2, simple B[6521]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,8,9,11,14],[1,3,5,7,8,12,14],[1,3,7,9,11,13,14],[1,4,5,7,10,13,14],[1,4,6,7,9,11,13],[1,4,8,9,10,12,13],[1,5,6,10,11,12,14],[1,6,7,8,9,10,12],[2,3,7,8,9,10,14],[2,3,7,10,11,12,13],[2,4,5,9,12,13,14],[2,4,6,8,10,13,14],[2,4,7,9,11,12,14],[2,5,6,7,8,11,13],[2,5,6,7,9,10,12],[3,4,5,6,9,10,11],[3,4,6,7,8,12,13],[3,4,6,8,11,12,14],[3,5,6,9,12,13,14],[3,5,8,9,10,11,13],[4,5,7,8,10,11,14]]; G[6521]:=Group([(1,8)(2,5)(3,11)(4,13)(6,7)(9,12)]); # Design 6522: autom. group order 2, simple, residual B[6522]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,12,14],[1,2,6,8,9,12,14],[1,3,5,7,9,13,14],[1,3,7,8,11,12,13],[1,4,5,7,12,13,14],[1,4,6,8,10,13,14],[1,4,9,10,11,13,14],[1,5,6,7,9,10,11],[1,6,7,8,9,11,12],[2,3,7,8,11,13,14],[2,3,7,9,10,12,14],[2,4,5,9,11,12,13],[2,4,6,7,9,11,14],[2,4,7,8,9,10,13],[2,5,6,7,8,10,13],[2,5,6,11,12,13,14],[3,4,5,6,8,11,14],[3,4,6,7,10,12,14],[3,4,6,8,9,12,13],[3,5,6,9,10,12,13],[3,5,8,9,10,11,14],[4,5,7,8,10,11,12]]; G[6522]:=Group([(2,14)(3,13)(5,10)(6,9)(7,11)]); # Design 6523: autom. group order 2, simple, residual B[6523]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,12,14],[1,2,6,8,9,12,14],[1,3,5,7,9,13,14],[1,3,7,8,11,12,13],[1,4,5,7,12,13,14],[1,4,6,8,10,13,14],[1,4,9,10,11,13,14],[1,5,6,7,9,10,11],[1,6,7,8,9,11,12],[2,3,7,8,11,13,14],[2,3,7,9,10,12,14],[2,4,5,8,9,11,13],[2,4,6,7,9,11,14],[2,4,7,9,10,12,13],[2,5,6,7,8,10,13],[2,5,6,11,12,13,14],[3,4,5,6,11,12,14],[3,4,6,7,8,10,14],[3,4,6,8,9,12,13],[3,5,6,9,10,12,13],[3,5,8,9,10,11,14],[4,5,7,8,10,11,12]]; G[6523]:=Group([(2,14)(3,13)(5,10)(6,9)(7,11)]); # Design 6524: autom. group order 2, simple B[6524]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,9,10,12,13],[1,3,5,10,11,12,14],[1,3,7,8,11,13,14],[1,4,5,6,9,11,14],[1,4,6,7,8,10,12],[1,4,6,8,9,12,13],[1,5,7,9,12,13,14],[1,6,8,9,10,11,14],[2,3,6,7,9,12,14],[2,3,6,8,9,11,13],[2,4,5,9,10,13,14],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,6,7,8,10,14],[2,5,8,9,10,11,12],[3,4,5,8,12,13,14],[3,4,7,8,9,10,14],[3,4,7,9,10,11,13],[3,5,6,7,9,11,12],[3,5,6,8,10,12,13],[4,5,6,7,10,11,13]]; G[6524]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 6525: autom. group order 2, simple, residual B[6525]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,9,10,12,13],[1,3,5,10,11,12,14],[1,3,7,8,11,13,14],[1,4,5,6,8,12,14],[1,4,6,7,9,10,11],[1,4,6,8,9,12,13],[1,5,7,9,12,13,14],[1,6,8,9,10,11,14],[2,3,6,7,9,12,14],[2,3,6,8,9,11,13],[2,4,5,9,10,13,14],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,6,7,8,10,14],[2,5,8,9,10,11,12],[3,4,5,9,11,13,14],[3,4,7,8,9,10,14],[3,4,7,8,10,12,13],[3,5,6,7,9,11,12],[3,5,6,8,10,12,13],[4,5,6,7,10,11,13]]; G[6525]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 6526: autom. group order 2, simple, residual B[6526]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,8,10,13,14],[1,3,5,10,11,12,14],[1,3,7,9,11,12,13],[1,4,5,6,9,11,14],[1,4,6,7,8,10,12],[1,4,6,8,9,12,13],[1,5,7,9,12,13,14],[1,6,8,9,10,11,14],[2,3,6,7,9,12,14],[2,3,6,8,9,11,13],[2,4,5,9,10,13,14],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,6,7,9,10,12],[2,5,8,9,10,11,12],[3,4,5,8,12,13,14],[3,4,7,8,9,10,14],[3,4,7,9,10,11,13],[3,5,6,7,8,11,14],[3,5,6,8,10,12,13],[4,5,6,7,10,11,13]]; G[6526]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 6527: autom. group order 2, simple, residual B[6527]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,8,10,13,14],[1,3,5,10,11,12,14],[1,3,7,9,11,12,13],[1,4,5,6,8,12,14],[1,4,6,7,9,10,11],[1,4,6,8,9,12,13],[1,5,7,9,12,13,14],[1,6,8,9,10,11,14],[2,3,6,7,9,12,14],[2,3,6,8,9,11,13],[2,4,5,9,10,13,14],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,6,7,9,10,12],[2,5,8,9,10,11,12],[3,4,5,9,11,13,14],[3,4,7,8,9,10,14],[3,4,7,8,10,12,13],[3,5,6,7,8,11,14],[3,5,6,8,10,12,13],[4,5,6,7,10,11,13]]; G[6527]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 6528: autom. group order 2, simple B[6528]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,13,14],[1,2,7,8,9,10,12],[1,3,5,10,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,11,12,14],[1,4,6,7,9,10,14],[1,4,6,8,9,12,13],[1,5,8,9,10,11,14],[1,6,7,8,11,12,13],[2,3,6,7,8,11,14],[2,3,6,8,9,12,14],[2,4,5,7,12,13,14],[2,4,6,9,10,13,14],[2,4,8,10,11,13,14],[2,5,6,9,11,12,13],[2,5,7,9,10,11,12],[3,4,5,8,9,11,13],[3,4,7,8,10,12,13],[3,4,7,9,11,12,14],[3,5,6,7,9,10,13],[3,5,6,8,10,12,14],[4,5,6,7,8,10,11]]; G[6528]:=Group([(1,13)(3,14)(5,10)(6,8)(7,11)]); # Design 6529: autom. group order 2, simple, residual B[6529]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,13,14],[1,2,8,9,10,12,14],[1,3,5,11,12,13,14],[1,3,7,8,9,11,14],[1,4,5,6,9,10,14],[1,4,6,7,11,12,14],[1,4,6,8,9,12,13],[1,5,7,9,10,11,13],[1,6,7,8,10,12,13],[2,3,6,7,8,10,14],[2,3,6,7,9,12,13],[2,4,5,7,12,13,14],[2,4,6,9,11,13,14],[2,4,8,10,11,13,14],[2,5,6,8,9,11,12],[2,5,7,9,10,11,12],[3,4,5,8,10,12,13],[3,4,7,8,9,11,13],[3,4,7,9,10,12,14],[3,5,6,8,11,12,14],[3,5,6,9,10,13,14],[4,5,6,7,8,10,11]]; G[6529]:=Group([(1,13)(3,14)(5,11)(6,8)(7,10)]); # Design 6530: autom. group order 2, simple, residual B[6530]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,13,14],[1,2,8,9,10,12,14],[1,3,5,11,12,13,14],[1,3,7,8,9,11,14],[1,4,5,6,10,12,14],[1,4,6,7,9,11,14],[1,4,6,8,9,12,13],[1,5,7,9,10,11,13],[1,6,7,8,10,12,13],[2,3,6,7,8,10,14],[2,3,6,7,9,12,13],[2,4,5,7,12,13,14],[2,4,6,9,11,13,14],[2,4,8,10,11,13,14],[2,5,6,8,9,11,12],[2,5,7,9,10,11,12],[3,4,5,8,9,10,13],[3,4,7,8,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,11,12,14],[3,5,6,9,10,13,14],[4,5,6,7,8,10,11]]; G[6530]:=Group([(1,13)(3,14)(5,11)(6,8)(7,10)]); # Design 6531: autom. group order 2, simple, residual B[6531]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,8,10,11,12,14],[1,3,5,8,9,12,14],[1,3,7,9,10,12,13],[1,4,5,6,11,13,14],[1,4,6,7,9,10,14],[1,4,6,8,9,12,13],[1,5,7,9,10,11,13],[1,6,7,8,11,12,14],[2,3,6,7,8,12,13],[2,3,6,7,9,11,14],[2,4,5,7,10,12,14],[2,4,6,9,11,12,13],[2,4,8,9,10,13,14],[2,5,6,8,9,10,11],[2,5,7,9,12,13,14],[3,4,5,11,12,13,14],[3,4,7,8,9,11,14],[3,4,7,8,10,11,13],[3,5,6,8,10,13,14],[3,5,6,9,10,11,12],[4,5,6,7,8,10,12]]; G[6531]:=Group([(2,8)(3,12)(4,14)(5,11)(9,10)]); # Design 6532: autom. group order 2, simple, residual B[6532]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,8,10,11,12,14],[1,3,5,8,9,12,14],[1,3,7,9,10,12,13],[1,4,5,6,11,13,14],[1,4,6,7,9,10,14],[1,4,6,8,9,12,13],[1,5,7,9,10,11,13],[1,6,7,8,11,12,14],[2,3,6,7,8,12,13],[2,3,6,7,9,11,14],[2,4,5,10,12,13,14],[2,4,6,9,11,12,13],[2,4,7,8,9,10,14],[2,5,6,8,9,10,11],[2,5,7,9,12,13,14],[3,4,5,7,11,12,14],[3,4,7,8,10,11,13],[3,4,8,9,11,13,14],[3,5,6,8,10,13,14],[3,5,6,9,10,11,12],[4,5,6,7,8,10,12]]; G[6532]:=Group([(2,8)(3,12)(4,14)(5,11)(9,10)]); # Design 6533: autom. group order 2, simple, residual B[6533]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,8,10,11,12,14],[1,3,5,8,9,12,14],[1,3,7,9,10,12,13],[1,4,5,6,11,13,14],[1,4,6,7,9,10,14],[1,4,6,8,9,12,13],[1,5,7,9,10,11,13],[1,6,7,8,11,12,14],[2,3,6,7,8,12,13],[2,3,6,9,11,13,14],[2,4,5,7,10,12,14],[2,4,6,7,9,11,12],[2,4,8,9,10,13,14],[2,5,6,8,9,10,11],[2,5,7,9,12,13,14],[3,4,5,11,12,13,14],[3,4,7,8,9,11,14],[3,4,7,8,10,11,13],[3,5,6,7,8,10,14],[3,5,6,9,10,11,12],[4,5,6,8,10,12,13]]; G[6533]:=Group([(2,8)(3,12)(4,14)(5,11)(9,10)]); # Design 6534: autom. group order 2, simple, residual B[6534]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,8,10,11,12,14],[1,3,5,8,9,12,14],[1,3,7,9,10,12,13],[1,4,5,6,11,13,14],[1,4,6,7,9,10,14],[1,4,6,8,9,12,13],[1,5,7,9,10,11,13],[1,6,7,8,11,12,14],[2,3,6,7,8,12,13],[2,3,6,9,11,13,14],[2,4,5,10,12,13,14],[2,4,6,7,9,11,12],[2,4,7,8,9,10,14],[2,5,6,8,9,10,11],[2,5,7,9,12,13,14],[3,4,5,7,11,12,14],[3,4,7,8,10,11,13],[3,4,8,9,11,13,14],[3,5,6,7,8,10,14],[3,5,6,9,10,11,12],[4,5,6,8,10,12,13]]; G[6534]:=Group([(2,8)(3,12)(4,14)(5,11)(9,10)]); # Design 6535: autom. group order 2, simple, residual B[6535]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,7,8,10,11,14],[1,3,5,7,9,12,14],[1,3,9,10,11,12,13],[1,4,5,6,12,13,14],[1,4,6,7,8,10,13],[1,4,6,8,9,11,14],[1,5,7,8,10,12,14],[1,6,7,9,11,12,13],[2,3,6,7,8,12,13],[2,3,6,7,9,11,14],[2,4,5,7,11,12,13],[2,4,6,9,10,12,14],[2,4,8,9,12,13,14],[2,5,6,8,10,11,12],[2,5,7,9,10,13,14],[3,4,5,10,11,13,14],[3,4,7,8,9,10,13],[3,4,7,8,11,12,14],[3,5,6,8,9,10,12],[3,5,6,8,11,13,14],[4,5,6,7,9,10,11]]; G[6535]:=Group([(2,11)(3,9)(4,13)(5,12)(8,10)]); # Design 6536: autom. group order 2, simple, residual B[6536]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,7,8,10,11,14],[1,3,5,7,9,12,14],[1,3,9,10,11,12,13],[1,4,5,6,12,13,14],[1,4,6,7,8,10,13],[1,4,6,8,9,11,14],[1,5,7,8,10,12,14],[1,6,7,9,11,12,13],[2,3,6,7,8,12,13],[2,3,6,7,9,11,14],[2,4,5,11,12,13,14],[2,4,6,9,10,12,14],[2,4,7,8,9,12,13],[2,5,6,8,10,11,12],[2,5,7,9,10,13,14],[3,4,5,7,10,11,13],[3,4,7,8,11,12,14],[3,4,8,9,10,13,14],[3,5,6,8,9,10,12],[3,5,6,8,11,13,14],[4,5,6,7,9,10,11]]; G[6536]:=Group([(2,11)(3,9)(4,13)(5,12)(8,10)]); # Design 6537: autom. group order 2, simple, residual B[6537]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,7,8,10,11,14],[1,3,5,7,9,12,14],[1,3,9,10,11,12,13],[1,4,5,6,12,13,14],[1,4,6,7,8,10,13],[1,4,6,8,9,11,14],[1,5,7,8,10,12,14],[1,6,7,9,11,12,13],[2,3,6,7,9,11,14],[2,3,6,8,12,13,14],[2,4,5,7,11,12,13],[2,4,6,7,9,10,12],[2,4,8,9,12,13,14],[2,5,6,8,10,11,12],[2,5,7,9,10,13,14],[3,4,5,10,11,13,14],[3,4,7,8,9,10,13],[3,4,7,8,11,12,14],[3,5,6,7,8,11,13],[3,5,6,8,9,10,12],[4,5,6,9,10,11,14]]; G[6537]:=Group([(2,11)(3,9)(4,13)(5,12)(8,10)]); # Design 6538: autom. group order 2, simple, residual B[6538]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,7,8,10,11,14],[1,3,5,7,9,12,14],[1,3,9,10,11,12,13],[1,4,5,6,12,13,14],[1,4,6,7,8,10,13],[1,4,6,8,9,11,14],[1,5,7,8,10,12,14],[1,6,7,9,11,12,13],[2,3,6,7,9,11,14],[2,3,6,8,12,13,14],[2,4,5,11,12,13,14],[2,4,6,7,9,10,12],[2,4,7,8,9,12,13],[2,5,6,8,10,11,12],[2,5,7,9,10,13,14],[3,4,5,7,10,11,13],[3,4,7,8,11,12,14],[3,4,8,9,10,13,14],[3,5,6,7,8,11,13],[3,5,6,8,9,10,12],[4,5,6,9,10,11,14]]; G[6538]:=Group([(2,11)(3,9)(4,13)(5,12)(8,10)]); # Design 6539: autom. group order 2, simple, residual B[6539]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,7,8,9,10,14],[1,3,5,10,11,12,14],[1,3,7,8,11,12,13],[1,4,5,6,9,12,14],[1,4,6,7,9,12,13],[1,4,6,8,10,11,13],[1,5,7,8,12,13,14],[1,6,7,9,10,11,14],[2,3,6,7,8,12,14],[2,3,6,7,9,11,13],[2,4,5,7,10,13,14],[2,4,6,8,11,12,14],[2,4,9,11,12,13,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,12],[3,4,5,7,11,13,14],[3,4,7,8,9,10,12],[3,4,8,9,10,13,14],[3,5,6,8,9,11,14],[3,5,6,9,10,12,13],[4,5,6,7,8,10,11]]; G[6539]:=Group([(1,12)(3,11)(5,14)(6,9)(7,13)]); # Design 6540: autom. group order 2, simple, residual B[6540]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,7,8,10,12,13],[1,3,5,10,11,12,14],[1,3,7,8,9,11,14],[1,4,5,6,9,12,14],[1,4,6,7,9,12,13],[1,4,6,8,10,11,13],[1,5,7,8,12,13,14],[1,6,7,9,10,11,14],[2,3,6,7,8,12,14],[2,3,6,7,9,11,13],[2,4,5,7,10,13,14],[2,4,6,8,11,12,14],[2,4,9,11,12,13,14],[2,5,6,8,9,10,14],[2,5,7,9,10,11,12],[3,4,5,7,11,13,14],[3,4,7,8,9,10,12],[3,4,8,9,10,13,14],[3,5,6,8,11,12,13],[3,5,6,9,10,12,13],[4,5,6,7,8,10,11]]; G[6540]:=Group([(1,12)(3,11)(5,14)(6,9)(7,13)]); # Design 6541: autom. group order 2, simple B[6541]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,7,8,10,12,13],[1,3,5,10,11,12,14],[1,3,7,8,9,11,14],[1,4,5,6,11,13,14],[1,4,6,7,9,12,13],[1,4,6,8,9,10,12],[1,5,7,8,12,13,14],[1,6,7,9,10,11,14],[2,3,6,7,8,12,14],[2,3,6,7,9,11,13],[2,4,5,7,10,13,14],[2,4,6,8,11,12,14],[2,4,9,11,12,13,14],[2,5,6,8,9,10,14],[2,5,7,9,10,11,12],[3,4,5,7,9,12,14],[3,4,7,8,10,11,13],[3,4,8,9,10,13,14],[3,5,6,8,11,12,13],[3,5,6,9,10,12,13],[4,5,6,7,8,10,11]]; G[6541]:=Group([(1,12)(3,11)(5,14)(6,9)(7,13)]); # Design 6542: autom. group order 2, simple, residual B[6542]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,13,14],[1,2,7,8,9,10,12],[1,3,5,10,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,11,12,14],[1,4,6,7,9,10,14],[1,4,6,8,9,12,13],[1,5,8,9,10,11,14],[1,6,7,8,11,12,13],[2,3,6,8,9,12,14],[2,3,7,9,11,12,14],[2,4,5,7,12,13,14],[2,4,6,9,10,13,14],[2,4,8,10,11,13,14],[2,5,6,7,8,10,11],[2,5,6,9,11,12,13],[3,4,5,8,9,11,13],[3,4,6,7,8,11,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,13],[3,5,6,8,10,12,14],[4,5,7,9,10,11,12]]; G[6542]:=Group([(1,13)(3,14)(5,10)(6,8)(7,11)]); # Design 6543: autom. group order 2, simple B[6543]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,8,9,10,12,14],[1,3,5,7,9,12,14],[1,3,8,9,11,13,14],[1,4,5,6,11,12,14],[1,4,6,7,8,13,14],[1,4,6,9,10,12,13],[1,5,7,10,11,12,13],[1,6,7,8,9,10,11],[2,3,6,7,8,10,12],[2,3,7,11,12,13,14],[2,4,5,9,10,11,13],[2,4,6,7,9,11,14],[2,4,7,8,9,12,13],[2,5,6,8,10,11,14],[2,5,6,9,12,13,14],[3,4,5,8,10,13,14],[3,4,6,8,11,12,13],[3,4,7,9,10,11,14],[3,5,6,7,9,10,13],[3,5,6,8,9,11,12],[4,5,7,8,10,12,14]]; G[6543]:=Group([(1,14)(2,10)(3,8)(4,5)(6,12)(9,13)]); # Design 6544: autom. group order 2, simple, residual B[6544]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,8,10,11,12,14],[1,3,5,8,9,12,14],[1,3,7,9,10,12,13],[1,4,5,6,11,13,14],[1,4,6,7,9,10,14],[1,4,6,8,9,12,13],[1,5,7,9,10,11,13],[1,6,7,8,11,12,14],[2,3,6,7,8,12,13],[2,3,7,9,11,13,14],[2,4,5,7,10,12,14],[2,4,6,7,9,11,12],[2,4,8,9,10,13,14],[2,5,6,8,9,10,11],[2,5,6,9,12,13,14],[3,4,5,11,12,13,14],[3,4,6,8,10,11,13],[3,4,7,8,9,11,14],[3,5,6,7,8,10,14],[3,5,6,9,10,11,12],[4,5,7,8,10,12,13]]; G[6544]:=Group([(2,8)(3,12)(4,14)(5,11)(9,10)]); # Design 6545: autom. group order 2, simple B[6545]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,13,14],[1,2,8,9,10,12,14],[1,3,5,11,12,13,14],[1,3,7,8,9,11,14],[1,4,5,6,9,10,14],[1,4,6,7,11,12,14],[1,4,6,8,9,12,13],[1,5,7,9,10,11,13],[1,6,7,8,10,12,13],[2,3,6,7,9,12,13],[2,3,7,9,10,12,14],[2,4,5,7,12,13,14],[2,4,6,9,11,13,14],[2,4,8,10,11,13,14],[2,5,6,7,8,10,11],[2,5,6,8,9,11,12],[3,4,5,8,10,12,13],[3,4,6,7,8,10,14],[3,4,7,8,9,11,13],[3,5,6,8,11,12,14],[3,5,6,9,10,13,14],[4,5,7,9,10,11,12]]; G[6545]:=Group([(1,13)(3,14)(5,11)(6,8)(7,10)]); # Design 6546: autom. group order 2, simple, residual B[6546]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,8,10,11,12,14],[1,3,5,8,9,12,14],[1,3,7,9,10,12,13],[1,4,5,6,11,13,14],[1,4,6,7,9,10,14],[1,4,6,8,9,12,13],[1,5,7,9,10,11,13],[1,6,7,8,11,12,14],[2,3,6,7,8,12,13],[2,3,7,9,11,13,14],[2,4,5,7,10,12,14],[2,4,6,9,11,12,13],[2,4,8,9,10,13,14],[2,5,6,7,9,12,14],[2,5,6,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,8,10,11],[3,4,7,8,9,11,14],[3,5,6,8,10,13,14],[3,5,6,9,10,11,12],[4,5,7,8,10,12,13]]; G[6546]:=Group([(2,8)(3,12)(4,14)(5,11)(9,10)]); # Design 6547: autom. group order 2, simple, residual B[6547]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,8,10,11,12,14],[1,3,5,8,9,12,14],[1,3,7,9,10,12,13],[1,4,5,6,11,13,14],[1,4,6,7,9,10,14],[1,4,6,8,9,12,13],[1,5,7,9,10,11,13],[1,6,7,8,11,12,14],[2,3,6,7,8,12,13],[2,3,7,9,11,13,14],[2,4,5,10,12,13,14],[2,4,6,7,9,11,12],[2,4,7,8,9,10,14],[2,5,6,8,9,10,11],[2,5,6,9,12,13,14],[3,4,5,7,11,12,14],[3,4,6,8,10,11,13],[3,4,8,9,11,13,14],[3,5,6,7,8,10,14],[3,5,6,9,10,11,12],[4,5,7,8,10,12,13]]; G[6547]:=Group([(2,8)(3,12)(4,14)(5,11)(9,10)]); # Design 6548: autom. group order 2, simple, residual B[6548]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,8,10,11,12,14],[1,3,5,8,9,12,14],[1,3,7,9,10,12,13],[1,4,5,6,11,13,14],[1,4,6,7,9,10,14],[1,4,6,8,9,12,13],[1,5,7,9,10,11,13],[1,6,7,8,11,12,14],[2,3,6,7,8,12,13],[2,3,7,9,11,13,14],[2,4,5,10,12,13,14],[2,4,6,9,11,12,13],[2,4,7,8,9,10,14],[2,5,6,7,9,12,14],[2,5,6,8,9,10,11],[3,4,5,7,11,12,14],[3,4,6,7,8,10,11],[3,4,8,9,11,13,14],[3,5,6,8,10,13,14],[3,5,6,9,10,11,12],[4,5,7,8,10,12,13]]; G[6548]:=Group([(2,8)(3,12)(4,14)(5,11)(9,10)]); # Design 6549: autom. group order 2, simple, residual B[6549]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,8,10,11,12,14],[1,3,5,8,9,12,14],[1,3,7,9,10,12,13],[1,4,5,6,11,13,14],[1,4,6,8,9,12,13],[1,4,7,9,10,13,14],[1,5,6,7,9,10,11],[1,6,7,8,11,12,14],[2,3,6,7,8,12,13],[2,3,6,7,9,11,14],[2,4,5,7,10,12,14],[2,4,6,8,9,10,14],[2,4,6,9,11,12,13],[2,5,7,9,12,13,14],[2,5,8,9,10,11,13],[3,4,5,11,12,13,14],[3,4,7,8,9,11,14],[3,4,7,8,10,11,13],[3,5,6,8,10,13,14],[3,5,6,9,10,11,12],[4,5,6,7,8,10,12]]; G[6549]:=Group([(2,8)(3,12)(4,14)(5,11)(9,10)]); # Design 6550: autom. group order 2, simple, residual B[6550]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,8,10,11,12,14],[1,3,5,8,9,12,14],[1,3,7,9,10,12,13],[1,4,5,6,11,13,14],[1,4,6,8,9,12,13],[1,4,7,9,10,13,14],[1,5,6,7,9,10,11],[1,6,7,8,11,12,14],[2,3,6,7,8,12,13],[2,3,6,9,11,13,14],[2,4,5,7,10,12,14],[2,4,6,7,9,11,12],[2,4,6,8,9,10,14],[2,5,7,9,12,13,14],[2,5,8,9,10,11,13],[3,4,5,11,12,13,14],[3,4,7,8,9,11,14],[3,4,7,8,10,11,13],[3,5,6,7,8,10,14],[3,5,6,9,10,11,12],[4,5,6,8,10,12,13]]; G[6550]:=Group([(2,8)(3,12)(4,14)(5,11)(9,10)]); # Design 6551: autom. group order 2, simple, residual B[6551]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,7,8,9,12,14],[1,3,5,7,9,11,14],[1,3,8,9,11,12,13],[1,4,5,6,7,12,13],[1,4,6,8,10,11,14],[1,4,7,9,10,13,14],[1,5,6,9,10,12,14],[1,6,7,8,11,12,13],[2,3,6,7,8,11,14],[2,3,6,9,10,12,13],[2,4,5,11,12,13,14],[2,4,6,7,9,11,13],[2,4,6,8,9,12,14],[2,5,7,8,9,10,13],[2,5,7,10,11,12,14],[3,4,5,8,12,13,14],[3,4,7,8,10,13,14],[3,4,7,9,10,11,12],[3,5,6,7,8,10,12],[3,5,6,9,11,13,14],[4,5,6,8,9,10,11]]; G[6551]:=Group([(2,11)(3,8)(4,13)(5,12)]); # Design 6552: autom. group order 2, simple, residual B[6552]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,7,8,9,12,14],[1,3,5,7,9,11,14],[1,3,8,9,11,12,13],[1,4,5,6,7,12,13],[1,4,6,8,10,11,14],[1,4,7,9,10,13,14],[1,5,6,9,10,12,14],[1,6,7,8,11,12,13],[2,3,6,7,8,11,14],[2,3,6,9,12,13,14],[2,4,5,11,12,13,14],[2,4,6,7,9,11,13],[2,4,6,8,9,10,12],[2,5,7,8,9,10,13],[2,5,7,10,11,12,14],[3,4,5,8,12,13,14],[3,4,7,8,10,13,14],[3,4,7,9,10,11,12],[3,5,6,7,8,10,12],[3,5,6,9,10,11,13],[4,5,6,8,9,11,14]]; G[6552]:=Group([(2,11)(3,8)(4,13)(5,12)]); # Design 6553: autom. group order 2, simple, residual B[6553]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,7,8,9,12,14],[1,3,5,7,9,11,14],[1,3,8,9,11,12,13],[1,4,5,6,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,13,14],[1,5,6,7,9,10,12],[1,6,7,8,11,12,13],[2,3,6,7,8,11,14],[2,3,6,9,10,12,13],[2,4,5,7,11,12,13],[2,4,6,7,9,11,13],[2,4,6,8,9,12,14],[2,5,7,8,10,13,14],[2,5,9,10,11,12,14],[3,4,5,8,12,13,14],[3,4,7,8,9,10,13],[3,4,7,10,11,12,14],[3,5,6,7,8,10,12],[3,5,6,9,11,13,14],[4,5,6,8,9,10,11]]; G[6553]:=Group([(2,11)(3,8)(4,13)(5,12)]); # Design 6554: autom. group order 2, simple, residual B[6554]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,7,8,9,12,14],[1,3,5,7,9,11,14],[1,3,8,9,11,12,13],[1,4,5,6,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,13,14],[1,5,6,7,9,10,12],[1,6,7,8,11,12,13],[2,3,6,7,8,11,14],[2,3,6,9,12,13,14],[2,4,5,7,11,12,13],[2,4,6,7,9,11,13],[2,4,6,8,9,10,12],[2,5,7,8,10,13,14],[2,5,9,10,11,12,14],[3,4,5,8,12,13,14],[3,4,7,8,9,10,13],[3,4,7,10,11,12,14],[3,5,6,7,8,10,12],[3,5,6,9,10,11,13],[4,5,6,8,9,11,14]]; G[6554]:=Group([(2,11)(3,8)(4,13)(5,12)]); # Design 6555: autom. group order 2, simple, residual B[6555]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,7,8,9,12,13],[1,3,5,7,8,11,14],[1,3,9,10,11,12,14],[1,4,5,6,12,13,14],[1,4,6,8,9,12,14],[1,4,7,9,11,13,14],[1,5,6,7,10,12,13],[1,6,7,8,9,10,11],[2,3,6,7,11,12,14],[2,3,6,8,9,13,14],[2,4,5,7,9,10,14],[2,4,6,7,8,11,12],[2,4,6,9,10,11,13],[2,5,7,9,10,12,14],[2,5,8,11,12,13,14],[3,4,5,9,11,12,13],[3,4,7,8,10,12,13],[3,4,7,8,10,13,14],[3,5,6,7,9,11,13],[3,5,6,8,9,10,12],[4,5,6,8,10,11,14]]; G[6555]:=Group([(1,6)(2,3)(4,14)(5,13)(7,10)(8,9)]); # Design 6556: autom. group order 2, simple B[6556]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,8,9,10,14],[1,3,5,7,11,12,14],[1,3,8,11,12,13,14],[1,4,5,6,9,12,13],[1,4,6,9,10,11,14],[1,4,7,9,10,12,13],[1,5,6,8,10,12,14],[1,6,7,8,9,11,13],[2,3,6,7,9,12,14],[2,3,6,8,9,12,13],[2,4,5,8,10,13,14],[2,4,6,7,11,13,14],[2,4,8,9,11,12,14],[2,5,6,10,11,12,13],[2,5,7,9,10,11,12],[3,4,5,9,11,13,14],[3,4,6,7,8,10,11],[3,4,7,8,10,12,13],[3,5,6,8,9,10,11],[3,5,7,9,10,13,14],[4,5,6,7,8,12,14]]; G[6556]:=Group([(1,11)(3,12)(4,10)(6,9)(8,13)]); # Design 6557: autom. group order 2, simple, residual B[6557]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,13,14],[1,2,7,9,10,12,13],[1,3,5,9,11,13,14],[1,3,7,8,11,12,14],[1,4,5,6,9,10,14],[1,4,6,7,11,12,14],[1,4,8,9,10,12,14],[1,5,6,8,11,12,13],[1,6,7,8,9,10,13],[2,3,6,7,8,10,14],[2,3,6,8,9,12,14],[2,4,5,7,12,13,14],[2,4,6,9,11,13,14],[2,4,8,10,11,13,14],[2,5,6,8,9,11,12],[2,5,7,9,10,11,12],[3,4,5,8,10,12,13],[3,4,6,7,9,12,13],[3,4,7,8,9,11,13],[3,5,6,10,12,13,14],[3,5,7,9,10,11,14],[4,5,6,7,8,10,11]]; G[6557]:=Group([(1,13)(3,14)(5,11)(6,8)(7,10)]); # Design 6558: autom. group order 2, simple B[6558]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,13,14],[1,2,7,8,9,10,12],[1,3,5,9,10,13,14],[1,3,7,11,12,13,14],[1,4,5,6,9,11,14],[1,4,6,7,10,12,14],[1,4,8,9,11,12,14],[1,5,6,8,10,12,13],[1,6,7,8,9,11,13],[2,3,6,7,8,11,14],[2,3,6,8,9,12,14],[2,4,5,7,12,13,14],[2,4,6,9,10,13,14],[2,4,8,10,11,13,14],[2,5,6,9,11,12,13],[2,5,7,9,10,11,12],[3,4,5,8,11,12,13],[3,4,6,7,9,12,13],[3,4,7,8,9,10,13],[3,5,6,8,10,12,14],[3,5,7,9,10,11,14],[4,5,6,7,8,10,11]]; G[6558]:=Group([(1,13)(3,14)(5,10)(6,8)(7,11)]); # Design 6559: autom. group order 2, simple B[6559]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,13,14],[1,2,7,8,9,10,12],[1,3,5,10,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,9,11,14],[1,4,6,7,10,12,14],[1,4,8,9,11,12,14],[1,5,6,8,9,10,13],[1,6,7,8,11,12,13],[2,3,6,7,8,11,14],[2,3,6,8,9,12,14],[2,4,5,7,12,13,14],[2,4,6,9,10,13,14],[2,4,8,10,11,13,14],[2,5,6,9,11,12,13],[2,5,7,9,10,11,12],[3,4,5,8,11,12,13],[3,4,6,7,9,12,13],[3,4,7,8,9,10,13],[3,5,6,8,10,12,14],[3,5,7,9,10,11,14],[4,5,6,7,8,10,11]]; G[6559]:=Group([(1,13)(3,14)(5,10)(6,8)(7,11)]); # Design 6560: autom. group order 2, simple, residual B[6560]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,7,8,11,12,14],[1,3,5,8,11,13,14],[1,3,7,8,9,10,13],[1,4,5,6,9,12,14],[1,4,6,7,9,10,11],[1,4,9,10,12,13,14],[1,5,6,8,10,12,13],[1,6,7,8,9,11,14],[2,3,6,7,9,12,13],[2,3,6,8,9,12,14],[2,4,5,9,11,13,14],[2,4,6,8,10,11,13],[2,4,7,8,10,12,14],[2,5,6,8,9,10,11],[2,5,7,9,10,13,14],[3,4,5,7,8,10,14],[3,4,6,7,11,13,14],[3,4,8,9,11,12,13],[3,5,6,10,11,12,14],[3,5,7,9,10,11,12],[4,5,6,7,8,12,13]]; G[6560]:=Group([(1,11)(2,12)(4,10)(6,9)(8,14)]); # Design 6561: autom. group order 2, simple B[6561]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,8,10,13,14],[1,3,5,10,11,12,14],[1,3,7,9,11,12,13],[1,4,5,6,9,11,14],[1,4,6,8,9,12,13],[1,4,7,9,10,12,13],[1,5,6,7,8,12,14],[1,6,8,9,10,11,14],[2,3,6,7,9,12,14],[2,3,6,8,9,11,13],[2,4,5,9,10,13,14],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,6,7,9,10,12],[2,5,8,9,10,11,12],[3,4,5,8,12,13,14],[3,4,6,7,8,10,11],[3,4,7,8,9,10,14],[3,5,6,8,10,12,13],[3,5,7,9,11,13,14],[4,5,6,7,10,11,13]]; G[6561]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 6562: autom. group order 2, simple B[6562]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,8,10,13,14],[1,3,5,10,11,12,14],[1,3,7,9,11,12,13],[1,4,5,6,8,12,14],[1,4,6,8,9,12,13],[1,4,7,9,10,12,13],[1,5,6,7,9,11,14],[1,6,8,9,10,11,14],[2,3,6,7,9,12,14],[2,3,6,8,9,11,13],[2,4,5,9,10,13,14],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,6,7,9,10,12],[2,5,8,9,10,11,12],[3,4,5,9,11,13,14],[3,4,6,7,8,10,11],[3,4,7,8,9,10,14],[3,5,6,8,10,12,13],[3,5,7,8,12,13,14],[4,5,6,7,10,11,13]]; G[6562]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 6563: autom. group order 2, simple B[6563]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,9,10,12,13],[1,3,5,8,10,11,14],[1,3,7,8,9,12,14],[1,4,5,6,9,13,14],[1,4,6,8,11,12,13],[1,4,7,11,12,13,14],[1,5,6,9,10,11,12],[1,6,7,8,9,10,14],[2,3,6,7,9,11,13],[2,3,6,9,11,12,14],[2,4,5,7,10,12,14],[2,4,6,8,10,13,14],[2,4,7,8,9,11,14],[2,5,6,8,11,12,14],[2,5,8,9,10,12,13],[3,4,5,9,12,13,14],[3,4,6,7,8,10,12],[3,4,8,9,10,11,13],[3,5,6,7,8,12,13],[3,5,7,10,11,13,14],[4,5,6,7,9,10,11]]; G[6563]:=Group([(2,11)(3,12)(5,13)(7,8)(9,14)]); # Design 6564: autom. group order 2, simple B[6564]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,7,8,9,10,11],[1,3,5,8,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,9,11,14],[1,4,6,9,10,12,13],[1,4,7,8,10,12,14],[1,5,6,8,10,11,13],[1,6,7,8,9,12,14],[2,3,6,7,8,12,13],[2,3,6,8,9,11,14],[2,4,5,9,12,13,14],[2,4,6,7,11,12,14],[2,4,8,10,11,13,14],[2,5,6,8,9,10,12],[2,5,7,9,10,13,14],[3,4,5,7,8,10,14],[3,4,6,7,9,10,13],[3,4,8,9,11,12,13],[3,5,6,10,11,12,14],[3,5,7,9,10,11,12],[4,5,6,7,8,11,13]]; G[6564]:=Group([(1,12)(2,11)(4,10)(6,9)(8,14)]); # Design 6565: autom. group order 2, simple B[6565]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,7,8,11,12,14],[1,3,5,8,11,13,14],[1,3,7,8,9,10,13],[1,4,5,6,9,12,14],[1,4,6,9,10,11,13],[1,4,7,9,10,12,14],[1,5,6,8,10,12,13],[1,6,7,8,9,11,14],[2,3,6,7,9,12,13],[2,3,6,8,9,12,14],[2,4,5,9,11,13,14],[2,4,6,7,8,10,11],[2,4,8,10,12,13,14],[2,5,6,8,9,10,11],[2,5,7,9,10,13,14],[3,4,5,7,8,10,14],[3,4,6,7,11,13,14],[3,4,8,9,11,12,13],[3,5,6,10,11,12,14],[3,5,7,9,10,11,12],[4,5,6,7,8,12,13]]; G[6565]:=Group([(1,11)(2,12)(4,10)(6,9)(8,14)]); # Design 6566: autom. group order 2, simple B[6566]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,7,8,9,11,13],[1,3,5,8,12,13,14],[1,3,7,9,10,11,14],[1,4,5,6,9,11,14],[1,4,6,8,10,11,13],[1,4,7,8,10,12,14],[1,5,6,9,10,12,13],[1,6,7,8,9,12,14],[2,3,6,7,8,10,12],[2,3,6,8,9,11,14],[2,4,5,9,10,12,14],[2,4,6,8,9,12,13],[2,4,7,9,10,13,14],[2,5,6,7,11,12,14],[2,5,8,10,11,13,14],[3,4,5,7,8,13,14],[3,4,6,11,12,13,14],[3,4,7,9,11,12,13],[3,5,6,7,9,10,13],[3,5,8,9,10,11,12],[4,5,6,7,8,10,11]]; G[6566]:=Group([(1,12)(2,11)(5,13)(6,9)(8,14)]); # Design 6567: autom. group order 2, simple B[6567]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,9,11,13,14],[1,3,5,9,10,11,14],[1,3,8,9,12,13,14],[1,4,5,6,7,12,14],[1,4,6,10,11,12,13],[1,4,7,8,10,13,14],[1,5,6,8,9,11,12],[1,6,7,8,9,10,12],[2,3,6,7,9,12,14],[2,3,6,8,11,12,13],[2,4,5,9,10,12,13],[2,4,6,8,9,10,14],[2,4,7,8,11,12,14],[2,5,6,8,10,11,14],[2,5,7,9,10,12,13],[3,4,5,8,12,13,14],[3,4,6,7,9,11,13],[3,4,7,8,9,10,11],[3,5,6,7,8,10,13],[3,5,7,10,11,12,14],[4,5,6,9,11,13,14]]; G[6567]:=Group([(1,11)(2,13)(3,6)(5,9)(8,14)(10,12)]); # Design 6568: autom. group order 2, simple B[6568]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,7,8,9,10,12],[1,3,5,8,11,12,13],[1,3,8,9,12,13,14],[1,4,5,6,9,12,14],[1,4,6,7,10,12,13],[1,4,7,8,10,11,14],[1,5,6,9,10,11,13],[1,6,7,8,9,11,14],[2,3,6,7,9,12,14],[2,3,6,8,10,11,14],[2,4,5,7,8,13,14],[2,4,6,8,11,12,13],[2,4,9,11,12,13,14],[2,5,6,8,9,10,13],[2,5,7,9,10,11,12],[3,4,5,9,10,11,14],[3,4,6,7,9,11,13],[3,4,7,8,9,10,13],[3,5,6,7,8,11,12],[3,5,7,10,12,13,14],[4,5,6,8,10,12,14]]; G[6568]:=Group([(1,11)(3,12)(5,13)(6,9)(7,14)]); # Design 6569: autom. group order 2, simple, residual B[6569]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,7,8,9,13,14],[1,3,5,8,10,11,13],[1,3,8,9,11,12,14],[1,4,5,6,9,12,14],[1,4,6,7,8,12,13],[1,4,9,10,12,13,14],[1,5,6,7,9,10,11],[1,6,7,8,10,11,12],[2,3,6,7,8,12,14],[2,3,6,9,11,12,13],[2,4,5,8,10,12,13],[2,4,6,8,10,11,14],[2,4,7,9,10,11,14],[2,5,6,9,11,12,13],[2,5,7,8,9,10,12],[3,4,5,7,11,12,14],[3,4,6,7,9,10,13],[3,4,7,8,9,11,13],[3,5,6,8,9,10,14],[3,5,7,10,12,13,14],[4,5,6,8,11,13,14]]; G[6569]:=Group([(1,14)(2,12)(4,7)(6,11)(8,10)(9,13)]); # Design 6570: autom. group order 2, simple B[6570]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,9,10,13,14],[1,3,5,8,10,12,13],[1,3,8,9,11,12,14],[1,4,5,6,12,13,14],[1,4,6,7,9,10,11],[1,4,8,9,11,13,14],[1,5,6,7,9,12,14],[1,6,7,8,10,11,12],[2,3,6,7,8,11,14],[2,3,6,9,11,12,13],[2,4,5,9,10,11,14],[2,4,6,8,10,12,14],[2,4,7,8,12,13,14],[2,5,6,9,11,12,13],[2,5,7,8,9,10,12],[3,4,5,7,11,12,14],[3,4,6,7,8,9,13],[3,4,7,9,10,12,13],[3,5,6,8,9,10,14],[3,5,7,10,11,13,14],[4,5,6,8,10,11,13]]; G[6570]:=Group([(1,14)(2,11)(4,7)(6,12)(8,10)(9,13)]); # Design 6571: autom. group order 2, simple, residual B[6571]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,11],[1,2,7,8,9,13,14],[1,3,5,9,10,12,13],[1,3,8,9,11,12,14],[1,4,5,6,12,13,14],[1,4,6,7,9,11,13],[1,4,8,10,11,13,14],[1,5,6,7,8,12,14],[1,6,7,9,10,11,12],[2,3,6,7,9,11,14],[2,3,6,8,11,12,13],[2,4,5,9,11,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,12,14],[2,5,6,8,11,12,13],[2,5,7,9,10,12,13],[3,4,5,7,11,12,14],[3,4,6,7,8,10,13],[3,4,7,8,9,12,13],[3,5,6,8,9,10,14],[3,5,7,10,11,13,14],[4,5,6,8,9,10,11]]; G[6571]:=Group([(1,14)(2,11)(4,7)(6,12)(8,13)(9,10)]); # Design 6572: autom. group order 2, simple B[6572]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,8,10,13,14],[1,3,5,9,10,11,14],[1,3,8,9,11,12,13],[1,4,5,6,12,13,14],[1,4,6,7,8,10,12],[1,4,8,9,12,13,14],[1,5,6,7,9,11,14],[1,6,7,9,10,11,12],[2,3,6,7,9,12,13],[2,3,6,8,11,12,14],[2,4,5,9,10,12,14],[2,4,6,9,10,11,13],[2,4,7,9,11,13,14],[2,5,6,8,11,12,14],[2,5,7,8,9,10,12],[3,4,5,7,11,12,13],[3,4,6,7,8,9,14],[3,4,7,8,10,11,14],[3,5,6,8,9,10,13],[3,5,7,10,12,13,14],[4,5,6,8,10,11,13]]; G[6572]:=Group([(1,13)(2,12)(4,7)(6,11)(8,14)(9,10)]); # Design 6573: autom. group order 2, simple B[6573]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,7,8,9,12,13],[1,3,5,8,11,12,13],[1,3,8,9,10,12,14],[1,4,5,6,9,12,14],[1,4,6,9,10,11,13],[1,4,7,8,10,11,14],[1,5,6,7,10,12,13],[1,6,7,8,9,11,14],[2,3,6,7,9,12,14],[2,3,6,8,11,13,14],[2,4,5,7,8,10,14],[2,4,6,8,9,10,13],[2,4,7,9,11,12,13],[2,5,6,8,10,11,12],[2,5,9,10,11,12,14],[3,4,5,9,11,13,14],[3,4,6,7,8,11,12],[3,4,7,10,12,13,14],[3,5,6,7,9,10,11],[3,5,7,8,9,10,13],[4,5,6,8,12,13,14]]; G[6573]:=Group([(1,11)(3,12)(4,10)(6,9)(7,14)]); # Design 6574: autom. group order 2, simple B[6574]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,8,10,12,14],[1,3,5,9,11,12,14],[1,3,8,9,10,12,13],[1,4,5,6,12,13,14],[1,4,6,8,9,11,13],[1,4,7,11,12,13,14],[1,5,6,7,9,10,14],[1,6,7,8,9,10,11],[2,3,6,7,8,12,13],[2,3,6,9,11,13,14],[2,4,5,8,10,11,14],[2,4,6,7,9,11,12],[2,4,7,9,10,13,14],[2,5,6,8,9,12,14],[2,5,9,10,11,12,13],[3,4,5,7,9,10,13],[3,4,6,8,10,11,14],[3,4,7,8,9,12,14],[3,5,6,7,10,11,12],[3,5,7,8,11,13,14],[4,5,6,8,10,12,13]]; G[6574]:=Group([(1,6)(2,3)(4,13)(5,14)(7,10)(8,11)]); # Design 6575: autom. group order 2, simple, residual B[6575]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,8,9,11,12,14],[1,3,5,9,10,11,14],[1,3,7,8,9,12,13],[1,4,5,6,7,12,14],[1,4,6,9,10,11,13],[1,4,7,8,10,13,14],[1,5,6,8,10,12,13],[1,6,7,9,11,12,14],[2,3,6,7,9,11,13],[2,3,6,8,10,12,14],[2,4,5,9,12,13,14],[2,4,6,8,9,13,14],[2,4,7,10,11,12,13],[2,5,6,7,9,10,12],[2,5,7,8,10,11,14],[3,4,5,11,12,13,14],[3,4,6,7,8,11,14],[3,4,7,8,9,10,12],[3,5,6,8,11,12,13],[3,5,7,9,10,13,14],[4,5,6,8,9,10,11]]; G[6575]:=Group([(2,9)(3,11)(4,14)(5,12)]); # Design 6576: autom. group order 2, simple, residual B[6576]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,8,9,11,12,14],[1,3,5,9,10,11,14],[1,3,7,8,9,12,13],[1,4,5,6,7,12,14],[1,4,6,9,10,11,13],[1,4,7,8,10,13,14],[1,5,6,8,10,12,13],[1,6,7,9,11,12,14],[2,3,6,7,9,11,13],[2,3,6,8,10,12,14],[2,4,5,9,12,13,14],[2,4,6,8,11,12,13],[2,4,7,9,10,13,14],[2,5,6,7,9,10,12],[2,5,7,8,10,11,14],[3,4,5,11,12,13,14],[3,4,6,7,8,11,14],[3,4,7,8,9,10,12],[3,5,6,8,9,13,14],[3,5,7,10,11,12,13],[4,5,6,8,9,10,11]]; G[6576]:=Group([(2,9)(3,11)(4,14)(5,12)]); # Design 6577: autom. group order 2, simple, residual B[6577]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,13,14],[1,2,8,9,10,12,14],[1,3,5,9,11,13,14],[1,3,7,8,11,12,14],[1,4,5,6,9,10,14],[1,4,6,7,11,12,14],[1,4,7,9,10,12,13],[1,5,6,8,11,12,13],[1,6,7,8,9,10,13],[2,3,6,7,8,10,14],[2,3,6,7,9,12,13],[2,4,5,7,12,13,14],[2,4,6,9,11,13,14],[2,4,8,10,11,13,14],[2,5,6,8,9,11,12],[2,5,7,9,10,11,12],[3,4,5,8,10,12,13],[3,4,6,8,9,12,14],[3,4,7,8,9,11,13],[3,5,6,10,12,13,14],[3,5,7,9,10,11,14],[4,5,6,7,8,10,11]]; G[6577]:=Group([(1,13)(3,14)(5,11)(6,8)(7,10)]); # Design 6578: autom. group order 2, simple, residual B[6578]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,13,14],[1,2,8,9,10,12,14],[1,3,5,9,11,13,14],[1,3,7,8,11,12,14],[1,4,5,6,10,12,14],[1,4,6,7,9,11,14],[1,4,7,9,10,12,13],[1,5,6,8,11,12,13],[1,6,7,8,9,10,13],[2,3,6,7,8,10,14],[2,3,6,7,9,12,13],[2,4,5,7,12,13,14],[2,4,6,9,11,13,14],[2,4,8,10,11,13,14],[2,5,6,8,9,11,12],[2,5,7,9,10,11,12],[3,4,5,8,9,10,13],[3,4,6,8,9,12,14],[3,4,7,8,11,12,13],[3,5,6,10,12,13,14],[3,5,7,9,10,11,14],[4,5,6,7,8,10,11]]; G[6578]:=Group([(1,13)(3,14)(5,11)(6,8)(7,10)]); # Design 6579: autom. group order 2, simple, residual B[6579]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,8,10,11,12,14],[1,3,5,8,9,12,14],[1,3,7,9,10,12,13],[1,4,5,6,11,13,14],[1,4,6,8,9,12,13],[1,4,7,9,10,13,14],[1,5,6,7,9,10,11],[1,6,7,8,11,12,14],[2,3,6,7,8,12,13],[2,3,6,7,9,11,14],[2,4,5,7,10,12,14],[2,4,6,8,9,10,14],[2,4,7,9,11,12,13],[2,5,6,9,12,13,14],[2,5,8,9,10,11,13],[3,4,5,11,12,13,14],[3,4,6,8,10,11,13],[3,4,7,8,9,11,14],[3,5,6,9,10,11,12],[3,5,7,8,10,13,14],[4,5,6,7,8,10,12]]; G[6579]:=Group([(2,8)(3,12)(4,14)(5,11)(9,10)]); # Design 6580: autom. group order 2, simple, residual B[6580]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,8,9,11,13,14],[1,3,5,10,12,13,14],[1,3,7,8,9,11,14],[1,4,5,6,8,11,14],[1,4,6,9,10,11,13],[1,4,7,9,10,12,14],[1,5,6,7,8,12,13],[1,6,7,8,9,10,12],[2,3,6,7,8,10,11],[2,3,6,7,9,12,14],[2,4,5,8,9,10,12],[2,4,6,8,12,13,14],[2,4,7,8,10,13,14],[2,5,6,9,11,12,14],[2,5,7,9,10,11,13],[3,4,5,7,9,13,14],[3,4,6,9,11,12,13],[3,4,7,8,11,12,13],[3,5,6,8,9,10,13],[3,5,8,10,11,12,14],[4,5,6,7,10,11,14]]; G[6580]:=Group([(1,12)(2,11)(5,13)(6,8)]); # Design 6581: autom. group order 2, simple B[6581]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,8,9,10,13,14],[1,3,5,8,11,12,13],[1,3,7,8,11,12,14],[1,4,5,6,9,12,14],[1,4,6,9,10,11,13],[1,4,7,8,9,10,12],[1,5,6,7,10,12,13],[1,6,7,8,9,11,14],[2,3,6,7,9,12,14],[2,3,6,8,9,12,13],[2,4,5,7,8,10,14],[2,4,6,7,8,11,13],[2,4,7,9,11,12,13],[2,5,6,8,10,11,12],[2,5,9,10,11,12,14],[3,4,5,9,11,13,14],[3,4,6,8,10,11,14],[3,4,7,10,12,13,14],[3,5,6,7,9,10,11],[3,5,7,8,9,10,13],[4,5,6,8,12,13,14]]; G[6581]:=Group([(1,11)(3,12)(4,10)(6,9)(7,14)]); # Design 6582: autom. group order 2, simple, residual B[6582]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,8,9,10,13,14],[1,3,5,8,11,12,13],[1,3,7,8,11,12,14],[1,4,5,6,9,12,14],[1,4,6,8,9,10,11],[1,4,7,9,10,12,13],[1,5,6,7,10,12,13],[1,6,7,8,9,11,14],[2,3,6,7,9,12,14],[2,3,6,8,9,12,13],[2,4,5,7,8,10,14],[2,4,6,7,8,11,13],[2,4,7,9,11,12,13],[2,5,6,8,10,11,12],[2,5,9,10,11,12,14],[3,4,5,9,11,13,14],[3,4,6,10,11,13,14],[3,4,7,8,10,12,14],[3,5,6,7,9,10,11],[3,5,7,8,9,10,13],[4,5,6,8,12,13,14]]; G[6582]:=Group([(1,11)(3,12)(4,10)(6,9)(7,14)]); # Design 6583: autom. group order 2, simple, residual B[6583]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,8,10,11,12,14],[1,3,5,9,10,11,13],[1,3,7,8,9,12,14],[1,4,5,6,12,13,14],[1,4,6,8,9,12,13],[1,4,7,9,11,13,14],[1,5,6,7,10,12,14],[1,6,7,8,9,10,11],[2,3,6,7,11,12,13],[2,3,6,8,9,13,14],[2,4,5,7,9,10,14],[2,4,6,7,8,11,14],[2,4,7,9,10,12,13],[2,5,6,8,9,10,12],[2,5,9,11,12,13,14],[3,4,5,8,11,12,14],[3,4,6,9,10,11,14],[3,4,7,8,10,12,13],[3,5,6,7,9,11,12],[3,5,7,8,10,13,14],[4,5,6,8,10,11,13]]; G[6583]:=Group([(1,6)(2,3)(4,13)(5,14)(7,10)(8,9)]); # Design 6584: autom. group order 2, simple B[6584]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,8,9,10,13,14],[1,3,5,8,11,12,14],[1,3,7,11,12,13,14],[1,4,5,6,9,12,13],[1,4,6,9,10,11,14],[1,4,7,8,9,10,12],[1,5,6,7,10,12,14],[1,6,7,8,9,11,13],[2,3,6,7,9,12,13],[2,3,6,8,9,12,14],[2,4,5,7,10,13,14],[2,4,6,7,8,11,14],[2,4,7,9,11,12,14],[2,5,6,8,10,11,12],[2,5,9,10,11,12,13],[3,4,5,9,11,13,14],[3,4,6,8,10,11,13],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,7,8,9,10,14],[4,5,6,8,12,13,14]]; G[6584]:=Group([(1,11)(3,12)(4,10)(6,9)(7,13)]); # Design 6585: autom. group order 2, simple, residual B[6585]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,8,10,11,12,14],[1,3,5,9,10,11,13],[1,3,7,8,9,12,14],[1,4,5,6,12,13,14],[1,4,6,8,9,12,13],[1,4,7,9,11,13,14],[1,5,6,7,10,12,14],[1,6,7,8,9,10,11],[2,3,6,7,11,12,13],[2,3,6,8,9,13,14],[2,4,5,9,11,12,14],[2,4,6,7,8,11,14],[2,4,7,9,10,12,13],[2,5,6,8,9,10,12],[2,5,7,9,10,13,14],[3,4,5,7,8,10,14],[3,4,6,9,10,11,14],[3,4,7,8,10,12,13],[3,5,6,7,9,11,12],[3,5,8,11,12,13,14],[4,5,6,8,10,11,13]]; G[6585]:=Group([(1,6)(2,3)(4,13)(5,14)(7,10)(8,9)]); # Design 6586: autom. group order 2, simple, residual B[6586]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,8,9,11,12,14],[1,3,5,9,10,11,14],[1,3,7,8,9,12,13],[1,4,5,6,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,13,14],[1,5,6,7,8,10,12],[1,6,7,9,11,12,14],[2,3,6,7,9,11,13],[2,3,6,8,10,12,14],[2,4,5,9,12,13,14],[2,4,6,8,11,12,13],[2,4,7,8,9,10,14],[2,5,6,7,9,10,12],[2,5,7,10,11,13,14],[3,4,5,7,11,12,14],[3,4,6,7,8,11,14],[3,4,7,9,10,12,13],[3,5,6,8,9,13,14],[3,5,8,10,11,12,13],[4,5,6,8,9,10,11]]; G[6586]:=Group([(2,9)(3,11)(4,14)(5,12)]); # Design 6587: autom. group order 2, simple, residual B[6587]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,9,12,13,14],[1,3,5,9,11,12,13],[1,3,7,8,9,10,11],[1,4,5,6,8,12,14],[1,4,6,7,9,12,13],[1,4,7,8,10,12,14],[1,5,6,7,10,11,13],[1,6,8,9,10,11,14],[2,3,6,7,8,11,12],[2,3,6,9,10,12,14],[2,4,5,7,10,11,14],[2,4,6,8,9,11,13],[2,4,7,8,9,10,13],[2,5,6,8,10,12,13],[2,5,7,9,11,12,14],[3,4,5,9,10,13,14],[3,4,6,7,11,13,14],[3,4,8,11,12,13,14],[3,5,6,7,8,9,14],[3,5,7,8,10,12,13],[4,5,6,9,10,11,12]]; G[6587]:=Group([(1,13)(2,14)(5,11)(9,12)]); # Design 6588: autom. group order 2, simple B[6588]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,7,8,9,10,14],[1,3,5,10,11,12,14],[1,3,7,8,11,12,13],[1,4,5,6,9,12,14],[1,4,6,7,9,12,13],[1,4,7,8,10,12,13],[1,5,6,8,11,13,14],[1,6,7,9,10,11,14],[2,3,6,7,8,12,14],[2,3,6,7,9,11,13],[2,4,5,7,10,13,14],[2,4,6,8,11,12,14],[2,4,9,11,12,13,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,12],[3,4,5,7,11,13,14],[3,4,6,8,9,10,11],[3,4,8,9,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,9,12,14],[4,5,6,7,8,10,11]]; G[6588]:=Group([(1,12)(3,11)(5,14)(6,9)(7,13)]); # Design 6589: autom. group order 2, simple B[6589]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,8,10,11,14],[1,3,5,9,10,12,14],[1,3,7,8,9,11,13],[1,4,5,6,11,13,14],[1,4,6,8,9,12,14],[1,4,7,9,11,13,14],[1,5,6,7,10,12,13],[1,6,7,8,9,10,12],[2,3,6,7,11,12,14],[2,3,6,8,9,13,14],[2,4,5,7,9,10,13],[2,4,6,7,8,12,13],[2,4,9,10,12,13,14],[2,5,6,8,9,10,11],[2,5,7,9,11,12,14],[3,4,5,7,8,12,14],[3,4,6,7,9,10,11],[3,4,8,10,11,12,13],[3,5,6,9,11,12,13],[3,5,7,8,10,13,14],[4,5,6,8,10,11,14]]; G[6589]:=Group([(1,6)(2,3)(4,14)(5,13)(7,10)(8,9)]); # Design 6590: autom. group order 2, simple B[6590]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,8,10,11,14],[1,3,5,9,10,12,14],[1,3,7,8,9,11,13],[1,4,5,6,11,13,14],[1,4,6,8,9,12,14],[1,4,7,9,11,13,14],[1,5,6,7,10,12,13],[1,6,7,8,9,10,12],[2,3,6,7,11,12,14],[2,3,6,8,9,13,14],[2,4,5,7,9,12,14],[2,4,6,7,8,12,13],[2,4,9,10,11,12,13],[2,5,6,8,9,10,11],[2,5,7,9,10,13,14],[3,4,5,7,8,10,13],[3,4,6,7,9,10,11],[3,4,8,10,12,13,14],[3,5,6,9,11,12,13],[3,5,7,8,11,12,14],[4,5,6,8,10,11,14]]; G[6590]:=Group([(1,6)(2,3)(4,14)(5,13)(7,10)(8,9)]); # Design 6591: autom. group order 2, simple B[6591]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,10,11,12,13],[1,2,7,8,11,13,14],[1,3,5,8,9,12,14],[1,3,7,8,9,10,13],[1,4,5,6,8,11,13],[1,4,6,9,10,12,14],[1,4,7,9,12,13,14],[1,5,6,7,11,12,14],[1,6,7,8,9,10,11],[2,3,6,7,8,12,14],[2,3,6,9,11,13,14],[2,4,5,7,9,11,14],[2,4,6,7,8,10,12],[2,4,8,9,10,11,14],[2,5,6,8,9,12,13],[2,5,7,9,10,12,13],[3,4,5,7,10,13,14],[3,4,6,9,11,12,13],[3,4,7,8,11,12,13],[3,5,6,7,9,10,11],[3,5,8,10,11,12,14],[4,5,6,8,10,13,14]]; G[6591]:=Group([(1,11)(2,12)(5,13)(6,8)]); # Design 6592: autom. group order 2, simple B[6592]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,7,8,10,12,13],[1,3,5,10,11,12,14],[1,3,8,9,12,13,14],[1,4,5,6,11,13,14],[1,4,6,7,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,8,11,12],[1,6,7,9,10,11,14],[2,3,6,7,8,12,14],[2,3,6,7,9,11,13],[2,4,5,7,10,13,14],[2,4,6,8,11,12,14],[2,4,9,11,12,13,14],[2,5,6,8,9,10,14],[2,5,7,9,10,11,12],[3,4,5,7,9,12,14],[3,4,6,8,9,10,11],[3,4,7,8,10,11,13],[3,5,6,9,10,12,13],[3,5,7,8,11,13,14],[4,5,6,8,10,12,13]]; G[6592]:=Group([(1,12)(3,11)(5,14)(6,9)(7,13)]); # Design 6593: autom. group order 2, simple, residual B[6593]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,12,13],[1,2,7,8,9,10,14],[1,3,5,9,12,13,14],[1,3,7,10,12,13,14],[1,4,5,6,7,11,14],[1,4,6,8,10,12,14],[1,4,8,9,10,11,13],[1,5,6,9,11,13,14],[1,6,7,8,9,11,12],[2,3,6,8,11,13,14],[2,3,7,8,9,11,14],[2,4,5,9,10,13,14],[2,4,6,7,9,12,13],[2,4,6,8,12,13,14],[2,5,6,9,10,11,12],[2,5,7,10,11,12,14],[3,4,5,8,11,12,14],[3,4,6,7,9,10,14],[3,4,7,9,11,12,13],[3,5,6,7,8,10,13],[3,5,6,8,9,10,12],[4,5,7,8,10,11,13]]; G[6593]:=Group([(1,10)(3,11)(4,12)(7,9)(8,14)]); # Design 6594: autom. group order 2, simple B[6594]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,7,8,10,13,14],[1,3,5,8,9,12,13],[1,3,7,9,10,11,14],[1,4,5,6,8,10,14],[1,4,6,11,12,13,14],[1,4,7,8,9,11,12],[1,5,6,7,9,11,14],[1,6,8,9,10,12,13],[2,3,6,7,8,12,14],[2,3,8,9,11,13,14],[2,4,5,9,11,13,14],[2,4,6,7,9,12,13],[2,4,6,8,9,10,14],[2,5,6,9,10,11,12],[2,5,7,8,10,11,12],[3,4,5,10,12,13,14],[3,4,6,7,8,11,13],[3,4,7,9,10,12,14],[3,5,6,7,9,10,13],[3,5,6,8,11,12,14],[4,5,7,8,10,11,13]]; G[6594]:=Group([(1,11)(3,10)(4,12)(7,9)]); # Design 6595: autom. group order 2, simple, residual B[6595]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,13],[1,2,7,9,11,13,14],[1,3,5,9,11,12,13],[1,3,7,8,11,12,14],[1,4,5,6,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,11,14],[1,5,6,8,9,12,14],[1,6,7,8,9,10,12],[2,3,6,8,9,10,14],[2,3,7,9,12,13,14],[2,4,5,8,9,11,14],[2,4,6,7,8,12,13],[2,4,6,7,9,11,12],[2,5,6,10,11,12,14],[2,5,8,10,11,12,13],[3,4,5,7,10,12,14],[3,4,6,8,11,13,14],[3,4,8,9,10,12,13],[3,5,6,7,8,11,13],[3,5,6,7,9,10,11],[4,5,7,9,10,13,14]]; G[6595]:=Group([(1,11)(3,12)(4,10)(7,14)(9,13)]); # Design 6596: autom. group order 2, simple, residual B[6596]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,13],[1,2,7,9,11,13,14],[1,3,5,9,11,12,13],[1,3,7,8,11,12,14],[1,4,5,6,12,13,14],[1,4,6,9,10,11,13],[1,4,8,9,10,12,14],[1,5,6,7,8,11,14],[1,6,7,8,9,10,12],[2,3,6,8,9,10,14],[2,3,7,9,12,13,14],[2,4,5,8,9,11,14],[2,4,6,7,8,12,13],[2,4,6,7,9,11,12],[2,5,6,10,11,12,14],[2,5,8,10,11,12,13],[3,4,5,7,10,12,14],[3,4,6,8,11,13,14],[3,4,7,8,10,11,13],[3,5,6,7,9,10,11],[3,5,6,8,9,12,13],[4,5,7,9,10,13,14]]; G[6596]:=Group([(1,11)(3,12)(4,10)(7,14)(9,13)]); # Design 6597: autom. group order 2, simple B[6597]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,9,11,13,14],[1,3,5,9,10,12,13],[1,3,7,8,10,11,14],[1,4,5,6,12,13,14],[1,4,6,9,10,11,14],[1,4,8,9,11,12,13],[1,5,6,7,8,12,14],[1,6,7,8,9,10,12],[2,3,6,8,9,12,14],[2,3,7,9,12,13,14],[2,4,5,8,9,10,14],[2,4,6,7,8,10,13],[2,4,6,7,9,11,12],[2,5,6,10,11,12,13],[2,5,8,10,11,12,14],[3,4,5,7,11,12,14],[3,4,6,8,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,9,11,13],[4,5,7,9,10,13,14]]; G[6597]:=Group([(1,11)(3,12)(4,10)(7,13)(9,14)]); # Design 6598: autom. group order 2, simple B[6598]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,12,13],[1,2,7,8,9,10,14],[1,3,5,9,12,13,14],[1,3,8,10,11,13,14],[1,4,5,6,7,11,14],[1,4,6,8,10,12,14],[1,4,7,9,10,12,13],[1,5,6,9,11,13,14],[1,6,7,8,9,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,11,14],[2,4,5,9,10,13,14],[2,4,6,8,9,11,13],[2,4,6,8,12,13,14],[2,5,6,9,10,11,12],[2,5,7,10,11,12,14],[3,4,5,8,11,12,14],[3,4,6,7,9,10,14],[3,4,7,9,11,12,13],[3,5,6,7,8,10,13],[3,5,6,8,9,10,12],[4,5,7,8,10,11,13]]; G[6598]:=Group([(1,10)(3,11)(4,12)(7,9)(8,14)]); # Design 6599: autom. group order 2, simple B[6599]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,9,11,13,14],[1,3,5,9,10,12,13],[1,3,8,9,11,12,14],[1,4,5,6,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,10,11,13],[1,5,6,7,8,12,14],[1,6,7,8,9,10,12],[2,3,6,7,8,10,14],[2,3,7,9,12,13,14],[2,4,5,8,9,10,14],[2,4,6,7,9,11,12],[2,4,6,8,9,12,13],[2,5,6,10,11,12,13],[2,5,8,10,11,12,14],[3,4,5,7,11,12,14],[3,4,6,8,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,9,11,13],[4,5,7,9,10,13,14]]; G[6599]:=Group([(1,11)(3,12)(4,10)(7,13)(9,14)]); # Design 6600: autom. group order 2, simple B[6600]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,9,11,13,14],[1,3,5,9,11,12,14],[1,3,8,9,10,12,13],[1,4,5,6,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,10,11,13],[1,5,6,7,8,12,14],[1,6,7,8,9,10,12],[2,3,6,7,8,10,14],[2,3,7,9,12,13,14],[2,4,5,8,9,10,14],[2,4,6,7,9,11,12],[2,4,6,8,9,12,13],[2,5,6,10,11,12,13],[2,5,8,10,11,12,14],[3,4,5,7,10,12,13],[3,4,6,8,11,13,14],[3,4,7,8,11,12,14],[3,5,6,7,9,10,11],[3,5,6,8,9,11,13],[4,5,7,9,10,13,14]]; G[6600]:=Group([(1,11)(3,12)(4,10)(7,13)(9,14)]); # Design 6601: autom. group order 2, simple, residual B[6601]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,8,9,11,12,14],[1,3,5,9,10,11,14],[1,3,7,8,9,12,13],[1,4,5,6,7,12,14],[1,4,6,9,10,11,13],[1,4,7,8,10,13,14],[1,5,6,8,10,12,13],[1,6,7,9,11,12,14],[2,3,6,7,9,11,13],[2,3,7,10,12,13,14],[2,4,5,9,12,13,14],[2,4,6,8,9,13,14],[2,4,6,8,10,11,12],[2,5,6,7,9,10,12],[2,5,7,8,10,11,14],[3,4,5,11,12,13,14],[3,4,6,7,8,11,14],[3,4,7,8,9,10,12],[3,5,6,8,9,10,14],[3,5,6,8,11,12,13],[4,5,7,9,10,11,13]]; G[6601]:=Group([(2,9)(3,11)(4,14)(5,12)]); # Design 6602: autom. group order 2, simple, residual B[6602]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,8,9,11,12,14],[1,3,5,9,10,11,14],[1,3,7,8,9,12,13],[1,4,5,6,7,12,14],[1,4,6,9,10,11,13],[1,4,7,8,10,13,14],[1,5,6,8,10,12,13],[1,6,7,9,11,12,14],[2,3,6,7,9,11,13],[2,3,7,8,10,12,14],[2,4,5,9,12,13,14],[2,4,6,8,9,13,14],[2,4,6,8,10,11,12],[2,5,6,7,9,10,12],[2,5,7,10,11,13,14],[3,4,5,11,12,13,14],[3,4,6,7,8,11,14],[3,4,7,9,10,12,13],[3,5,6,8,9,10,14],[3,5,6,8,11,12,13],[4,5,7,8,9,10,11]]; G[6602]:=Group([(2,9)(3,11)(4,14)(5,12)]); # Design 6603: autom. group order 2, simple, residual B[6603]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,8,10,11,12,14],[1,3,5,8,9,12,14],[1,3,7,9,10,12,13],[1,4,5,6,11,13,14],[1,4,6,8,9,12,13],[1,4,7,9,10,13,14],[1,5,6,7,9,10,11],[1,6,7,8,11,12,14],[2,3,6,7,8,12,13],[2,3,7,9,11,13,14],[2,4,5,7,10,12,14],[2,4,6,7,9,11,12],[2,4,6,8,9,10,14],[2,5,6,9,12,13,14],[2,5,8,9,10,11,13],[3,4,5,11,12,13,14],[3,4,6,8,10,11,13],[3,4,7,8,9,11,14],[3,5,6,7,8,10,14],[3,5,6,9,10,11,12],[4,5,7,8,10,12,13]]; G[6603]:=Group([(2,8)(3,12)(4,14)(5,11)(9,10)]); # Design 6604: autom. group order 2, simple, residual B[6604]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,8,10,11,12,14],[1,3,5,8,9,12,14],[1,3,7,9,10,12,13],[1,4,5,6,11,13,14],[1,4,6,8,9,12,13],[1,4,7,9,10,13,14],[1,5,6,7,9,10,11],[1,6,7,8,11,12,14],[2,3,6,7,8,12,13],[2,3,7,9,11,13,14],[2,4,5,7,10,12,14],[2,4,6,8,9,10,14],[2,4,6,9,11,12,13],[2,5,6,7,9,12,14],[2,5,8,9,10,11,13],[3,4,5,11,12,13,14],[3,4,6,7,8,10,11],[3,4,7,8,9,11,14],[3,5,6,8,10,13,14],[3,5,6,9,10,11,12],[4,5,7,8,10,12,13]]; G[6604]:=Group([(2,8)(3,12)(4,14)(5,11)(9,10)]); # Design 6605: autom. group order 2, simple, residual B[6605]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,10,13],[1,2,7,8,11,13,14],[1,3,5,7,11,12,13],[1,3,7,9,10,11,14],[1,4,5,6,12,13,14],[1,4,6,8,10,11,14],[1,4,8,9,11,12,13],[1,5,6,7,9,12,14],[1,6,7,8,9,10,12],[2,3,6,8,9,12,14],[2,3,7,8,12,13,14],[2,4,5,7,9,11,14],[2,4,6,7,8,11,12],[2,4,6,7,9,10,13],[2,5,6,10,11,12,13],[2,5,9,10,11,12,14],[3,4,5,8,10,12,14],[3,4,6,9,11,13,14],[3,4,7,9,10,12,13],[3,5,6,7,8,10,11],[3,5,6,8,9,11,13],[4,5,7,8,10,13,14]]; G[6605]:=Group([(1,11)(3,12)(4,10)(7,13)(8,14)]); # Design 6606: autom. group order 2, simple, residual B[6606]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,7,8,9,12,14],[1,3,5,7,9,11,14],[1,3,8,9,11,12,13],[1,4,5,6,7,12,13],[1,4,6,8,10,11,14],[1,4,7,9,10,13,14],[1,5,6,9,10,12,14],[1,6,7,8,11,12,13],[2,3,6,7,8,11,14],[2,3,7,9,10,12,13],[2,4,5,11,12,13,14],[2,4,6,7,9,11,13],[2,4,6,8,9,10,12],[2,5,6,9,11,12,14],[2,5,7,8,10,13,14],[3,4,5,8,12,13,14],[3,4,6,8,9,13,14],[3,4,7,10,11,12,14],[3,5,6,7,8,10,12],[3,5,6,9,10,11,13],[4,5,7,8,9,10,11]]; G[6606]:=Group([(2,11)(3,8)(4,13)(5,12)]); # Design 6607: autom. group order 2, simple, residual B[6607]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,7,8,9,12,14],[1,3,5,7,9,11,14],[1,3,8,9,11,12,13],[1,4,5,6,7,12,13],[1,4,6,8,10,11,14],[1,4,7,9,10,13,14],[1,5,6,9,10,12,14],[1,6,7,8,11,12,13],[2,3,6,7,8,11,14],[2,3,7,10,12,13,14],[2,4,5,11,12,13,14],[2,4,6,7,9,11,13],[2,4,6,8,9,10,12],[2,5,6,9,11,12,14],[2,5,7,8,9,10,13],[3,4,5,8,12,13,14],[3,4,6,8,9,13,14],[3,4,7,9,10,11,12],[3,5,6,7,8,10,12],[3,5,6,9,10,11,13],[4,5,7,8,10,11,14]]; G[6607]:=Group([(2,11)(3,8)(4,13)(5,12)]); # Design 6608: autom. group order 2, simple, residual B[6608]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,7,8,9,12,14],[1,3,5,7,9,11,14],[1,3,8,9,11,12,13],[1,4,5,6,7,12,13],[1,4,6,8,10,11,14],[1,4,7,9,10,13,14],[1,5,6,9,10,12,14],[1,6,7,8,11,12,13],[2,3,6,7,8,11,14],[2,3,7,9,10,12,13],[2,4,5,11,12,13,14],[2,4,6,7,9,11,13],[2,4,6,8,9,10,12],[2,5,6,8,9,13,14],[2,5,7,10,11,12,14],[3,4,5,8,12,13,14],[3,4,6,9,11,12,14],[3,4,7,8,10,13,14],[3,5,6,7,8,10,12],[3,5,6,9,10,11,13],[4,5,7,8,9,10,11]]; G[6608]:=Group([(2,11)(3,8)(4,13)(5,12)]); # Design 6609: autom. group order 2, simple, residual B[6609]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,7,8,9,12,14],[1,3,5,7,9,11,14],[1,3,8,9,11,12,13],[1,4,5,6,7,12,13],[1,4,6,8,10,11,14],[1,4,7,9,10,13,14],[1,5,6,9,10,12,14],[1,6,7,8,11,12,13],[2,3,6,7,8,11,14],[2,3,7,9,10,12,13],[2,4,5,11,12,13,14],[2,4,6,7,9,11,13],[2,4,6,8,9,12,14],[2,5,6,8,9,10,13],[2,5,7,10,11,12,14],[3,4,5,8,12,13,14],[3,4,6,9,10,11,12],[3,4,7,8,10,13,14],[3,5,6,7,8,10,12],[3,5,6,9,11,13,14],[4,5,7,8,9,10,11]]; G[6609]:=Group([(2,11)(3,8)(4,13)(5,12)]); # Design 6610: autom. group order 2, simple B[6610]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,8,9,13,14],[1,3,5,7,11,13,14],[1,3,8,9,10,12,14],[1,4,5,6,7,12,14],[1,4,6,9,10,12,13],[1,4,7,9,10,11,14],[1,5,6,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,7,8,10,12],[2,3,7,9,11,12,14],[2,4,5,8,10,13,14],[2,4,6,8,9,11,14],[2,4,6,11,12,13,14],[2,5,6,7,9,10,11],[2,5,7,9,10,12,13],[3,4,5,9,10,11,13],[3,4,6,7,8,9,13],[3,4,7,8,11,12,13],[3,5,6,8,10,11,14],[3,5,6,9,12,13,14],[4,5,7,8,10,12,14]]; G[6610]:=Group([(1,14)(2,8)(3,10)(4,5)(6,12)(9,13)]); # Design 6611: autom. group order 2, simple B[6611]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,10,13],[1,2,7,8,11,13,14],[1,3,5,7,11,12,13],[1,3,8,9,11,12,14],[1,4,5,6,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,11,13],[1,5,6,7,9,12,14],[1,6,7,8,9,10,12],[2,3,6,7,9,10,14],[2,3,7,8,12,13,14],[2,4,5,7,9,11,14],[2,4,6,7,8,11,12],[2,4,6,8,9,12,13],[2,5,6,10,11,12,13],[2,5,9,10,11,12,14],[3,4,5,8,10,12,14],[3,4,6,9,11,13,14],[3,4,7,9,10,12,13],[3,5,6,7,8,10,11],[3,5,6,8,9,11,13],[4,5,7,8,10,13,14]]; G[6611]:=Group([(1,11)(3,12)(4,10)(7,13)(8,14)]); # Design 6612: autom. group order 2, simple B[6612]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,7,8,11,13,14],[1,3,5,7,11,12,14],[1,3,8,9,10,12,14],[1,4,5,6,12,13,14],[1,4,6,8,10,11,13],[1,4,7,9,10,11,14],[1,5,6,7,9,12,13],[1,6,7,8,9,10,12],[2,3,6,7,9,10,13],[2,3,7,8,12,13,14],[2,4,5,7,9,10,14],[2,4,6,7,8,11,12],[2,4,6,8,9,12,14],[2,5,6,10,11,12,14],[2,5,9,10,11,12,13],[3,4,5,8,10,12,13],[3,4,6,9,11,13,14],[3,4,7,9,11,12,13],[3,5,6,7,8,10,11],[3,5,6,8,9,11,14],[4,5,7,8,10,13,14]]; G[6612]:=Group([(1,11)(3,12)(4,10)(7,14)(8,13)]); # Design 6613: autom. group order 2, simple, residual B[6613]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,7,8,9,12,14],[1,3,5,7,9,11,14],[1,3,8,9,11,12,13],[1,4,5,6,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,13,14],[1,5,6,7,9,10,12],[1,6,7,8,11,12,13],[2,3,6,7,8,11,14],[2,3,7,10,12,13,14],[2,4,5,7,11,12,13],[2,4,6,7,9,11,13],[2,4,6,8,9,10,12],[2,5,6,8,9,13,14],[2,5,9,10,11,12,14],[3,4,5,8,12,13,14],[3,4,6,9,11,12,14],[3,4,7,8,9,10,13],[3,5,6,7,8,10,12],[3,5,6,9,10,11,13],[4,5,7,8,10,11,14]]; G[6613]:=Group([(2,11)(3,8)(4,13)(5,12)]); # Design 6614: autom. group order 2, simple, residual B[6614]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,7,8,9,12,14],[1,3,5,7,9,11,14],[1,3,8,9,11,12,13],[1,4,5,6,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,13,14],[1,5,6,7,9,10,12],[1,6,7,8,11,12,13],[2,3,6,7,8,11,14],[2,3,7,10,12,13,14],[2,4,5,7,11,12,13],[2,4,6,7,9,11,13],[2,4,6,8,9,12,14],[2,5,6,8,9,10,13],[2,5,9,10,11,12,14],[3,4,5,8,12,13,14],[3,4,6,9,10,11,12],[3,4,7,8,9,10,13],[3,5,6,7,8,10,12],[3,5,6,9,11,13,14],[4,5,7,8,10,11,14]]; G[6614]:=Group([(2,11)(3,8)(4,13)(5,12)]); # Design 6615: autom. group order 2, simple B[6615]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,8,9,13,14],[1,3,5,7,11,13,14],[1,3,8,9,10,12,14],[1,4,5,6,11,12,14],[1,4,6,9,10,12,13],[1,4,7,9,10,11,14],[1,5,6,7,8,9,12],[1,6,7,8,10,11,13],[2,3,6,7,8,10,12],[2,3,7,9,11,12,14],[2,4,5,8,10,13,14],[2,4,6,7,12,13,14],[2,4,6,8,9,11,14],[2,5,6,7,9,10,11],[2,5,9,10,11,12,13],[3,4,5,7,9,10,13],[3,4,6,8,9,11,13],[3,4,7,8,11,12,13],[3,5,6,8,10,11,14],[3,5,6,9,12,13,14],[4,5,7,8,10,12,14]]; G[6615]:=Group([(1,14)(2,8)(3,10)(4,5)(6,12)(9,13)]); # Design 6616: autom. group order 2, simple B[6616]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,8,9,13,14],[1,3,5,7,9,11,14],[1,3,8,9,10,12,14],[1,4,5,6,11,12,14],[1,4,6,9,10,12,13],[1,4,7,10,11,13,14],[1,5,6,7,8,12,13],[1,6,7,8,9,10,11],[2,3,6,7,8,10,12],[2,3,7,11,12,13,14],[2,4,5,8,10,13,14],[2,4,6,7,9,12,14],[2,4,6,8,9,11,14],[2,5,6,9,10,11,13],[2,5,7,9,10,11,12],[3,4,5,7,9,10,13],[3,4,6,7,8,11,13],[3,4,8,9,11,12,13],[3,5,6,8,10,11,14],[3,5,6,9,12,13,14],[4,5,7,8,10,12,14]]; G[6616]:=Group([(1,14)(2,8)(3,10)(4,5)(6,12)(9,13)]); # Design 6617: autom. group order 2, simple, residual B[6617]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,7,8,9,10,14],[1,3,5,7,12,13,14],[1,3,8,9,10,12,13],[1,4,5,6,8,11,14],[1,4,6,9,10,12,14],[1,4,7,10,11,13,14],[1,5,6,7,9,11,13],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,8,9,11,14],[2,4,5,7,9,10,13],[2,4,6,7,8,12,13],[2,4,6,9,12,13,14],[2,5,6,8,10,11,12],[2,5,7,10,11,12,14],[3,4,5,9,11,12,14],[3,4,6,7,8,10,14],[3,4,7,8,11,12,13],[3,5,6,7,9,10,12],[3,5,6,8,10,13,14],[4,5,8,9,10,11,13]]; G[6617]:=Group([(1,10)(3,11)(4,12)(7,8)(9,14)]); # Design 6618: autom. group order 2, simple, residual B[6618]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,9,11,12,14],[1,3,5,9,11,13,14],[1,3,7,8,9,10,12],[1,4,5,6,8,12,14],[1,4,6,7,9,11,14],[1,4,7,8,10,13,14],[1,5,6,7,10,11,13],[1,6,8,9,10,12,13],[2,3,6,7,8,9,13],[2,3,7,8,10,11,14],[2,4,5,7,10,12,13],[2,4,6,8,9,11,13],[2,4,6,9,10,12,14],[2,5,6,8,10,11,14],[2,5,7,9,12,13,14],[3,4,5,9,10,13,14],[3,4,6,7,11,12,13],[3,4,8,11,12,13,14],[3,5,6,7,8,12,14],[3,5,6,9,10,11,12],[4,5,7,8,9,10,11]]; G[6618]:=Group([(1,11)(2,12)(5,13)(9,14)]); # Design 6619: autom. group order 2, simple B[6619]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,8,9,10,13,14],[1,3,5,7,9,12,13],[1,3,7,8,10,11,14],[1,4,5,6,9,10,14],[1,4,6,11,12,13,14],[1,4,7,8,9,11,12],[1,5,6,7,8,11,14],[1,6,7,9,10,12,13],[2,3,6,8,9,12,14],[2,3,7,9,11,13,14],[2,4,5,7,11,13,14],[2,4,6,7,8,12,13],[2,4,6,7,9,10,14],[2,5,6,8,10,11,12],[2,5,7,9,10,11,12],[3,4,5,10,12,13,14],[3,4,6,8,9,11,13],[3,4,7,8,10,12,14],[3,5,6,7,8,10,13],[3,5,6,9,11,12,14],[4,5,8,9,10,11,13]]; G[6619]:=Group([(1,11)(3,10)(4,12)(7,8)]); # Design 6620: autom. group order 2, simple, residual B[6620]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,8,9,10,13,14],[1,3,5,7,9,12,13],[1,3,7,8,10,11,14],[1,4,5,6,10,13,14],[1,4,6,9,11,12,14],[1,4,7,8,11,12,14],[1,5,6,7,8,9,11],[1,6,7,9,10,12,13],[2,3,6,8,9,12,14],[2,3,7,9,11,13,14],[2,4,5,7,11,13,14],[2,4,6,7,8,12,13],[2,4,6,7,9,10,14],[2,5,6,8,10,11,12],[2,5,7,9,10,11,12],[3,4,5,9,10,12,14],[3,4,6,8,9,11,13],[3,4,7,8,10,12,13],[3,5,6,7,8,10,14],[3,5,6,11,12,13,14],[4,5,8,9,10,11,13]]; G[6620]:=Group([(1,11)(3,10)(4,12)(7,8)]); # Design 6621: autom. group order 2, simple, residual B[6621]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,9,10,12,13],[1,3,5,7,11,12,14],[1,3,8,10,11,13,14],[1,4,5,9,12,13,14],[1,4,6,7,9,10,11],[1,4,6,8,9,12,13],[1,5,6,8,10,12,14],[1,6,7,8,9,11,14],[2,3,6,7,9,12,14],[2,3,6,8,9,11,13],[2,4,5,6,8,10,14],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,7,9,10,13,14],[2,5,8,9,10,11,12],[3,4,5,9,11,13,14],[3,4,7,8,9,10,14],[3,4,7,8,10,12,13],[3,5,6,7,8,12,13],[3,5,6,9,10,11,12],[4,5,6,7,10,11,13]]; G[6621]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 6622: autom. group order 2, simple, residual B[6622]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,7,8,9,10,14],[1,3,5,8,9,12,13],[1,3,7,8,10,11,14],[1,4,5,7,11,13,14],[1,4,6,8,11,12,14],[1,4,6,9,10,12,13],[1,5,6,9,10,13,14],[1,6,7,8,9,11,12],[2,3,6,7,9,12,14],[2,3,6,9,11,13,14],[2,4,5,6,8,10,14],[2,4,6,7,8,12,13],[2,4,8,9,11,13,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,9,11,12,14],[3,4,7,8,9,10,13],[3,4,7,10,12,13,14],[3,5,6,7,8,11,13],[3,5,6,8,10,12,14],[4,5,6,7,9,10,11]]; G[6622]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 6623: autom. group order 2, simple B[6623]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,7,8,9,10,14],[1,3,5,8,9,12,13],[1,3,7,8,10,11,14],[1,4,5,7,11,13,14],[1,4,6,8,11,12,14],[1,4,6,9,10,12,13],[1,5,6,9,11,12,14],[1,6,7,8,9,10,13],[2,3,6,7,9,12,14],[2,3,6,9,11,13,14],[2,4,5,6,8,10,14],[2,4,6,7,8,12,13],[2,4,8,9,11,13,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,9,10,13,14],[3,4,7,8,9,11,12],[3,4,7,10,12,13,14],[3,5,6,7,8,11,13],[3,5,6,8,10,12,14],[4,5,6,7,9,10,11]]; G[6623]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 6624: autom. group order 2, simple, residual B[6624]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,9,10,12,13],[1,3,5,10,11,12,14],[1,3,7,8,11,13,14],[1,4,5,9,12,13,14],[1,4,6,7,9,10,11],[1,4,6,8,9,12,13],[1,5,6,7,8,12,14],[1,6,8,9,10,11,14],[2,3,6,7,9,12,14],[2,3,6,8,9,11,13],[2,4,5,6,8,10,14],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,7,9,10,13,14],[2,5,8,9,10,11,12],[3,4,5,9,11,13,14],[3,4,7,8,9,10,14],[3,4,7,8,10,12,13],[3,5,6,7,9,11,12],[3,5,6,8,10,12,13],[4,5,6,7,10,11,13]]; G[6624]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 6625: autom. group order 2, simple, residual B[6625]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,7,8,9,10,12],[1,3,5,8,11,12,13],[1,3,7,9,12,13,14],[1,4,5,9,10,13,14],[1,4,6,7,8,9,11],[1,4,6,9,11,12,14],[1,5,6,8,10,12,14],[1,6,7,8,10,11,13],[2,3,6,8,9,10,13],[2,3,6,9,11,12,14],[2,4,5,6,7,12,13],[2,4,6,8,11,13,14],[2,4,7,8,10,12,14],[2,5,7,9,10,11,14],[2,5,8,9,11,12,13],[3,4,5,8,10,11,14],[3,4,7,8,12,13,14],[3,4,7,9,10,11,13],[3,5,6,7,8,9,14],[3,5,6,7,10,11,12],[4,5,6,9,10,12,13]]; G[6625]:=Group([(1,9)(2,13)(3,10)(7,12)(8,14)]); # Design 6626: autom. group order 2, simple B[6626]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,7,8,9,10,14],[1,3,5,8,12,13,14],[1,3,7,9,10,11,14],[1,4,5,9,11,13,14],[1,4,6,7,11,12,14],[1,4,6,8,10,12,13],[1,5,6,8,9,11,12],[1,6,7,8,9,10,13],[2,3,6,8,9,12,14],[2,3,6,8,11,13,14],[2,4,5,6,9,10,14],[2,4,6,7,9,12,13],[2,4,7,8,11,13,14],[2,5,7,8,10,11,12],[2,5,9,10,11,12,13],[3,4,5,7,8,10,13],[3,4,7,8,9,11,12],[3,4,9,10,12,13,14],[3,5,6,7,9,11,13],[3,5,6,7,10,12,14],[4,5,6,8,10,11,14]]; G[6626]:=Group([(1,10)(3,11)(4,12)(6,13)(7,9)]); # Design 6627: autom. group order 2, simple B[6627]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,7,8,9,10,14],[1,3,5,8,12,13,14],[1,3,7,9,10,11,14],[1,4,5,8,9,11,13],[1,4,6,7,11,12,14],[1,4,6,8,10,12,13],[1,5,6,9,11,12,14],[1,6,7,8,9,10,13],[2,3,6,8,9,12,14],[2,3,6,8,11,13,14],[2,4,5,6,9,10,14],[2,4,6,7,9,12,13],[2,4,7,8,11,13,14],[2,5,7,8,10,11,12],[2,5,9,10,11,12,13],[3,4,5,7,10,13,14],[3,4,7,8,9,11,12],[3,4,9,10,12,13,14],[3,5,6,7,8,10,12],[3,5,6,7,9,11,13],[4,5,6,8,10,11,14]]; G[6627]:=Group([(1,10)(3,11)(4,12)(6,13)(7,9)]); # Design 6628: autom. group order 2, simple B[6628]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,7,8,9,10,14],[1,3,5,7,9,12,13],[1,3,7,8,10,11,14],[1,4,5,9,11,13,14],[1,4,6,8,9,11,12],[1,4,6,10,12,13,14],[1,5,6,7,11,12,14],[1,6,7,8,9,10,13],[2,3,6,8,9,12,14],[2,3,6,9,11,13,14],[2,4,5,6,7,10,14],[2,4,6,7,8,12,13],[2,4,7,9,11,13,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,8,10,13,14],[3,4,7,8,11,12,14],[3,4,7,9,10,12,13],[3,5,6,7,8,11,13],[3,5,6,9,10,12,14],[4,5,6,8,9,10,11]]; G[6628]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 6629: autom. group order 2, simple B[6629]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,7,8,9,10,14],[1,3,5,7,9,12,13],[1,3,7,8,10,11,14],[1,4,5,9,11,13,14],[1,4,6,8,11,12,14],[1,4,6,9,10,12,13],[1,5,6,7,11,12,14],[1,6,7,8,9,10,13],[2,3,6,8,9,12,14],[2,3,6,9,11,13,14],[2,4,5,6,7,10,14],[2,4,6,7,8,12,13],[2,4,7,9,11,13,14],[2,5,7,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,8,10,13,14],[3,4,7,8,9,11,12],[3,4,7,10,12,13,14],[3,5,6,7,8,11,13],[3,5,6,9,10,12,14],[4,5,6,8,9,10,11]]; G[6629]:=Group([(1,10)(3,11)(4,12)(6,13)(7,8)]); # Design 6630: autom. group order 2, simple, residual B[6630]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,7,8,10,11,14],[1,3,5,7,9,12,14],[1,3,9,10,11,12,13],[1,4,5,7,12,13,14],[1,4,6,7,8,10,13],[1,4,6,8,9,11,14],[1,5,6,8,10,12,14],[1,6,7,9,11,12,13],[2,3,6,7,8,12,13],[2,3,6,7,9,11,14],[2,4,5,6,11,12,13],[2,4,6,9,10,12,14],[2,4,8,9,12,13,14],[2,5,7,8,10,11,12],[2,5,7,9,10,13,14],[3,4,5,10,11,13,14],[3,4,7,8,9,10,13],[3,4,7,8,11,12,14],[3,5,6,8,9,10,12],[3,5,6,8,11,13,14],[4,5,6,7,9,10,11]]; G[6630]:=Group([(2,11)(3,9)(4,13)(5,12)(8,10)]); # Design 6631: autom. group order 2, simple, residual B[6631]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,7,8,10,11,14],[1,3,5,7,9,12,14],[1,3,9,10,11,12,13],[1,4,5,7,12,13,14],[1,4,6,7,8,10,13],[1,4,6,8,9,11,14],[1,5,6,8,10,12,14],[1,6,7,9,11,12,13],[2,3,6,7,9,11,14],[2,3,6,8,12,13,14],[2,4,5,6,11,12,13],[2,4,6,7,9,10,12],[2,4,8,9,12,13,14],[2,5,7,8,10,11,12],[2,5,7,9,10,13,14],[3,4,5,10,11,13,14],[3,4,7,8,9,10,13],[3,4,7,8,11,12,14],[3,5,6,7,8,11,13],[3,5,6,8,9,10,12],[4,5,6,9,10,11,14]]; G[6631]:=Group([(2,11)(3,9)(4,13)(5,12)(8,10)]); # Design 6632: autom. group order 2, simple, residual B[6632]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,7,8,10,12,13],[1,3,5,10,11,12,14],[1,3,7,8,9,11,14],[1,4,5,7,12,13,14],[1,4,6,7,9,12,13],[1,4,6,8,10,11,13],[1,5,6,8,9,12,14],[1,6,7,9,10,11,14],[2,3,6,7,8,12,14],[2,3,6,7,9,11,13],[2,4,5,6,9,10,14],[2,4,6,8,11,12,14],[2,4,9,11,12,13,14],[2,5,7,8,10,13,14],[2,5,7,9,10,11,12],[3,4,5,7,11,13,14],[3,4,7,8,9,10,12],[3,4,8,9,10,13,14],[3,5,6,8,11,12,13],[3,5,6,9,10,12,13],[4,5,6,7,8,10,11]]; G[6632]:=Group([(1,12)(3,11)(5,14)(6,9)(7,13)]); # Design 6633: autom. group order 2, simple, residual B[6633]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,7,8,10,12,13],[1,3,5,8,11,12,14],[1,3,7,9,10,11,14],[1,4,5,7,12,13,14],[1,4,6,7,9,12,13],[1,4,6,8,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,11,14],[2,3,6,7,8,12,14],[2,3,6,7,9,11,13],[2,4,5,6,9,10,14],[2,4,6,8,11,12,14],[2,4,9,11,12,13,14],[2,5,7,8,10,13,14],[2,5,7,9,10,11,12],[3,4,5,7,11,13,14],[3,4,7,8,9,10,12],[3,4,8,9,10,13,14],[3,5,6,8,9,12,13],[3,5,6,10,11,12,13],[4,5,6,7,8,10,11]]; G[6633]:=Group([(1,12)(3,11)(5,14)(6,9)(7,13)]); # Design 6634: autom. group order 2, simple, residual B[6634]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,13],[1,2,7,9,11,13,14],[1,3,5,7,11,12,14],[1,3,8,9,10,11,14],[1,4,5,8,12,13,14],[1,4,6,7,11,12,13],[1,4,6,9,10,12,14],[1,5,6,8,9,11,13],[1,6,7,8,9,10,12],[2,3,6,7,8,12,14],[2,3,6,8,9,12,13],[2,4,5,6,9,11,14],[2,4,7,8,9,11,12],[2,4,7,9,10,13,14],[2,5,6,10,11,12,13],[2,5,8,10,11,12,14],[3,4,5,9,10,12,13],[3,4,6,8,11,13,14],[3,4,7,8,10,11,13],[3,5,6,7,9,10,11],[3,5,7,9,12,13,14],[4,5,6,7,8,10,14]]; G[6634]:=Group([(1,11)(3,12)(4,10)(6,8)(7,14)(9,13)]); # Design 6635: autom. group order 2, simple, residual B[6635]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,9,10,11,12],[1,3,5,9,11,13,14],[1,3,7,9,12,13,14],[1,4,5,8,10,12,14],[1,4,6,7,8,9,14],[1,4,6,9,10,12,13],[1,5,6,8,10,11,13],[1,6,7,8,11,12,14],[2,3,6,7,8,10,14],[2,3,6,8,9,11,12],[2,4,5,6,12,13,14],[2,4,7,10,11,13,14],[2,4,8,9,11,13,14],[2,5,6,7,9,12,13],[2,5,8,9,10,12,14],[3,4,5,7,11,12,14],[3,4,6,8,11,12,13],[3,4,7,8,9,10,13],[3,5,6,9,10,11,14],[3,5,7,8,10,12,13],[4,5,6,7,9,10,11]]; G[6635]:=Group([(1,13)(3,14)(5,11)(6,10)]); # Design 6636: autom. group order 2, simple B[6636]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,9,10,11,12],[1,3,5,11,12,13,14],[1,3,7,8,9,13,14],[1,4,5,8,10,12,14],[1,4,6,7,9,12,14],[1,4,6,8,9,10,13],[1,5,6,9,10,11,13],[1,6,7,8,11,12,14],[2,3,6,7,8,10,14],[2,3,6,8,9,11,12],[2,4,5,6,12,13,14],[2,4,7,10,11,13,14],[2,4,8,9,11,13,14],[2,5,6,7,9,12,13],[2,5,8,9,10,12,14],[3,4,5,7,9,11,14],[3,4,6,8,11,12,13],[3,4,7,9,10,12,13],[3,5,6,9,10,11,14],[3,5,7,8,10,12,13],[4,5,6,7,8,10,11]]; G[6636]:=Group([(1,13)(3,14)(5,11)(6,10)]); # Design 6637: autom. group order 2, simple, residual B[6637]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,7,8,11,12,14],[1,3,5,8,11,13,14],[1,3,7,9,10,13,14],[1,4,5,9,12,13,14],[1,4,6,7,9,10,11],[1,4,6,8,10,12,13],[1,5,6,8,9,10,12],[1,6,7,8,9,11,14],[2,3,6,7,9,12,13],[2,3,6,8,9,12,14],[2,4,5,6,9,11,14],[2,4,7,8,10,12,14],[2,4,9,10,11,13,14],[2,5,6,8,10,11,13],[2,5,7,8,9,10,13],[3,4,5,7,8,10,14],[3,4,6,7,8,11,13],[3,4,8,9,11,12,13],[3,5,6,10,11,12,14],[3,5,7,9,10,11,12],[4,5,6,7,12,13,14]]; G[6637]:=Group([(1,11)(2,12)(4,10)(6,9)(8,14)]); # Design 6638: autom. group order 2, simple B[6638]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,7,8,11,12,14],[1,3,5,8,11,13,14],[1,3,7,9,10,13,14],[1,4,5,9,12,13,14],[1,4,6,7,8,10,12],[1,4,6,9,10,11,13],[1,5,6,8,9,10,12],[1,6,7,8,9,11,14],[2,3,6,7,9,12,13],[2,3,6,8,9,12,14],[2,4,5,6,9,11,14],[2,4,7,9,10,11,14],[2,4,8,10,12,13,14],[2,5,6,8,10,11,13],[2,5,7,8,9,10,13],[3,4,5,7,8,10,14],[3,4,6,7,8,11,13],[3,4,8,9,11,12,13],[3,5,6,10,11,12,14],[3,5,7,9,10,11,12],[4,5,6,7,12,13,14]]; G[6638]:=Group([(1,11)(2,12)(4,10)(6,9)(8,14)]); # Design 6639: autom. group order 2, simple B[6639]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,9,10,11,12],[1,3,5,11,12,13,14],[1,3,7,8,9,13,14],[1,4,5,8,9,10,14],[1,4,6,7,9,12,14],[1,4,6,8,11,12,14],[1,5,6,9,10,11,13],[1,6,7,8,10,12,13],[2,3,6,7,8,10,14],[2,3,6,8,9,11,12],[2,4,5,6,12,13,14],[2,4,7,9,11,13,14],[2,4,8,10,11,13,14],[2,5,6,8,9,12,13],[2,5,7,9,10,12,14],[3,4,5,7,10,12,13],[3,4,6,7,9,11,13],[3,4,8,9,10,12,13],[3,5,6,9,10,11,14],[3,5,7,8,11,12,14],[4,5,6,7,8,10,11]]; G[6639]:=Group([(1,13)(3,14)(5,11)(6,10)(7,8)]); # Design 6640: autom. group order 2, simple B[6640]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,8,9,12,13],[1,3,5,11,12,13,14],[1,3,7,9,10,11,14],[1,4,5,8,9,10,14],[1,4,6,7,9,12,14],[1,4,6,8,11,12,14],[1,5,6,9,10,11,13],[1,6,7,8,10,12,13],[2,3,6,7,8,10,14],[2,3,6,8,9,11,12],[2,4,5,6,12,13,14],[2,4,7,9,11,13,14],[2,4,8,10,11,13,14],[2,5,6,9,10,11,12],[2,5,7,9,10,12,14],[3,4,5,7,10,12,13],[3,4,6,7,9,11,13],[3,4,8,9,10,12,13],[3,5,6,8,9,13,14],[3,5,7,8,11,12,14],[4,5,6,7,8,10,11]]; G[6640]:=Group([(1,13)(3,14)(5,11)(6,10)(7,8)]); # Design 6641: autom. group order 2, simple, residual B[6641]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,9,10,11,12],[1,3,5,9,11,13,14],[1,3,7,8,12,13,14],[1,4,5,8,9,10,14],[1,4,6,8,11,12,14],[1,4,6,9,10,12,13],[1,5,6,7,11,12,14],[1,6,7,8,9,10,13],[2,3,6,7,8,10,14],[2,3,6,8,9,11,12],[2,4,5,6,12,13,14],[2,4,7,9,11,13,14],[2,4,8,10,11,13,14],[2,5,6,8,9,12,13],[2,5,7,9,10,12,14],[3,4,5,7,10,12,13],[3,4,6,7,9,11,13],[3,4,7,8,9,12,14],[3,5,6,9,10,11,14],[3,5,8,10,11,12,13],[4,5,6,7,8,10,11]]; G[6641]:=Group([(1,13)(3,14)(5,11)(6,10)(7,8)]); # Design 6642: autom. group order 2, simple, residual B[6642]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,9,10,11,12],[1,3,5,9,11,13,14],[1,3,7,8,12,13,14],[1,4,5,8,10,12,14],[1,4,6,8,9,11,14],[1,4,6,9,10,12,13],[1,5,6,7,11,12,14],[1,6,7,8,9,10,13],[2,3,6,7,8,10,14],[2,3,6,8,9,11,12],[2,4,5,6,12,13,14],[2,4,7,9,11,13,14],[2,4,8,10,11,13,14],[2,5,6,8,9,12,13],[2,5,7,9,10,12,14],[3,4,5,7,9,10,13],[3,4,6,7,11,12,13],[3,4,7,8,9,12,14],[3,5,6,9,10,11,14],[3,5,8,10,11,12,13],[4,5,6,7,8,10,11]]; G[6642]:=Group([(1,13)(3,14)(5,11)(6,10)(7,8)]); # Design 6643: autom. group order 2, simple, residual B[6643]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,13],[1,2,7,9,11,13,14],[1,3,5,9,11,12,13],[1,3,8,9,10,11,14],[1,4,5,8,12,13,14],[1,4,6,7,11,12,13],[1,4,6,9,10,12,14],[1,5,6,7,8,11,14],[1,6,7,8,9,10,12],[2,3,6,7,8,12,14],[2,3,6,8,9,12,13],[2,4,5,6,9,11,14],[2,4,7,8,9,11,12],[2,4,7,9,10,13,14],[2,5,6,10,11,12,13],[2,5,8,10,11,12,14],[3,4,5,7,10,12,14],[3,4,6,8,11,13,14],[3,4,7,8,10,11,13],[3,5,6,7,9,10,11],[3,5,7,9,12,13,14],[4,5,6,8,9,10,13]]; G[6643]:=Group([(1,11)(3,12)(4,10)(6,8)(7,14)(9,13)]); # Design 6644: autom. group order 2, simple, residual B[6644]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,13,14],[1,2,7,9,10,11,13],[1,3,5,9,10,12,13],[1,3,8,9,11,12,14],[1,4,5,8,11,13,14],[1,4,6,7,8,10,11],[1,4,6,9,12,13,14],[1,5,6,7,9,11,12],[1,6,7,8,10,12,14],[2,3,6,7,9,11,14],[2,3,6,8,11,12,13],[2,4,5,6,10,12,14],[2,4,7,9,12,13,14],[2,4,8,9,10,11,14],[2,5,6,8,11,12,13],[2,5,7,8,9,10,12],[3,4,5,7,11,12,14],[3,4,6,7,8,9,13],[3,4,7,8,10,12,13],[3,5,6,8,9,10,14],[3,5,7,10,11,13,14],[4,5,6,9,10,11,13]]; G[6644]:=Group([(1,14)(2,11)(4,7)(6,12)(8,13)(9,10)]); # Design 6645: autom. group order 2, simple, residual B[6645]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,8,10,11,13,14],[1,3,5,7,8,11,14],[1,3,7,9,10,12,14],[1,4,5,9,12,13,14],[1,4,6,7,9,10,11],[1,4,6,8,9,11,13],[1,5,6,8,10,12,13],[1,6,7,8,9,12,14],[2,3,6,7,9,12,13],[2,3,6,8,9,11,14],[2,4,5,6,8,12,14],[2,4,7,8,9,10,13],[2,4,7,8,10,12,14],[2,5,6,9,10,11,12],[2,5,7,9,11,13,14],[3,4,5,9,10,13,14],[3,4,6,11,12,13,14],[3,4,7,8,11,12,13],[3,5,6,7,8,10,13],[3,5,8,9,10,11,12],[4,5,6,7,10,11,14]]; G[6645]:=Group([(1,12)(2,11)(5,13)(6,8)(9,14)]); # Design 6646: autom. group order 2, simple, residual B[6646]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,13],[1,2,8,9,10,11,12],[1,3,5,9,11,13,14],[1,3,7,9,12,13,14],[1,4,5,7,11,12,14],[1,4,6,7,8,9,13],[1,4,6,8,11,12,13],[1,5,6,9,10,11,14],[1,6,7,8,10,12,14],[2,3,6,7,8,11,14],[2,3,6,7,9,11,12],[2,4,5,6,12,13,14],[2,4,7,10,11,13,14],[2,4,8,9,11,13,14],[2,5,6,8,9,12,14],[2,5,7,9,10,12,13],[3,4,5,8,10,12,14],[3,4,6,9,10,12,13],[3,4,7,8,9,10,14],[3,5,6,8,10,11,13],[3,5,7,8,11,12,13],[4,5,6,7,9,10,11]]; G[6646]:=Group([(1,14)(3,13)(5,11)(6,10)]); # Design 6647: autom. group order 2, simple, residual B[6647]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,13],[1,2,8,9,10,11,12],[1,3,5,11,12,13,14],[1,3,7,8,9,13,14],[1,4,5,7,9,11,14],[1,4,6,7,9,12,13],[1,4,6,8,10,12,14],[1,5,6,9,10,11,14],[1,6,7,8,11,12,13],[2,3,6,7,8,11,14],[2,3,6,7,9,11,12],[2,4,5,6,12,13,14],[2,4,7,10,11,13,14],[2,4,8,9,11,13,14],[2,5,6,8,9,12,14],[2,5,7,9,10,12,13],[3,4,5,8,11,12,13],[3,4,6,8,9,10,13],[3,4,7,9,10,12,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,14],[4,5,6,7,8,10,11]]; G[6647]:=Group([(1,14)(3,13)(5,11)(6,10)]); # Design 6648: autom. group order 2, simple, residual B[6648]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,8,9,11,12,14],[1,3,5,9,10,11,14],[1,3,7,8,9,12,13],[1,4,5,7,12,13,14],[1,4,6,7,8,10,14],[1,4,6,9,10,11,13],[1,5,6,8,10,12,13],[1,6,7,9,11,12,14],[2,3,6,7,9,11,13],[2,3,6,8,12,13,14],[2,4,5,6,9,12,14],[2,4,7,10,11,12,13],[2,4,8,9,10,13,14],[2,5,6,7,9,10,12],[2,5,7,8,10,11,14],[3,4,5,11,12,13,14],[3,4,6,7,8,11,14],[3,4,7,8,9,10,12],[3,5,6,8,10,11,12],[3,5,7,9,10,13,14],[4,5,6,8,9,11,13]]; G[6648]:=Group([(2,9)(3,11)(4,14)(5,12)]); # Design 6649: autom. group order 2, simple, residual B[6649]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,10,13],[1,2,7,8,10,11,12],[1,3,5,7,11,13,14],[1,3,7,8,12,13,14],[1,4,5,7,9,11,14],[1,4,6,8,11,12,13],[1,4,6,9,10,12,14],[1,5,6,9,11,12,13],[1,6,7,8,9,10,14],[2,3,6,7,9,11,12],[2,3,6,8,9,11,14],[2,4,5,6,12,13,14],[2,4,7,10,11,13,14],[2,4,8,9,11,13,14],[2,5,6,7,8,12,14],[2,5,7,9,10,12,13],[3,4,5,8,10,12,14],[3,4,6,7,9,10,13],[3,4,7,8,9,12,13],[3,5,6,8,10,11,13],[3,5,9,10,11,12,14],[4,5,6,7,8,10,11]]; G[6649]:=Group([(1,14)(3,13)(5,11)(6,10)]); # Design 6650: autom. group order 2, simple B[6650]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,7,8,10,11,12],[1,3,5,7,11,13,14],[1,3,7,8,12,13,14],[1,4,5,7,9,10,14],[1,4,6,8,11,12,14],[1,4,6,9,10,12,13],[1,5,6,9,11,12,14],[1,6,7,8,9,10,13],[2,3,6,7,9,11,12],[2,3,6,8,9,10,14],[2,4,5,6,12,13,14],[2,4,7,10,11,13,14],[2,4,8,9,11,13,14],[2,5,6,7,8,12,13],[2,5,7,9,10,12,14],[3,4,5,8,10,12,13],[3,4,6,7,9,11,13],[3,4,7,8,9,12,14],[3,5,6,8,10,11,14],[3,5,9,10,11,12,13],[4,5,6,7,8,10,11]]; G[6650]:=Group([(1,13)(3,14)(5,11)(6,10)]); # Design 6651: autom. group order 2, simple B[6651]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,10,11,12,13],[1,2,7,8,11,12,14],[1,3,5,7,9,11,14],[1,3,7,9,10,13,14],[1,4,5,8,12,13,14],[1,4,6,7,9,10,12],[1,4,6,8,9,12,14],[1,5,6,7,8,11,13],[1,6,8,9,10,11,13],[2,3,6,7,8,12,13],[2,3,6,8,9,11,14],[2,4,5,6,9,11,13],[2,4,7,8,9,10,13],[2,4,7,8,10,11,14],[2,5,6,9,10,12,14],[2,5,7,9,12,13,14],[3,4,5,8,10,13,14],[3,4,6,11,12,13,14],[3,4,7,9,11,12,13],[3,5,6,7,8,10,12],[3,5,8,9,10,11,12],[4,5,6,7,10,11,14]]; G[6651]:=Group([(1,12)(2,11)(5,13)(6,9)(8,14)]); # Design 6652: autom. group order 2, simple, residual B[6652]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,10,11,12,13],[1,2,7,8,11,12,14],[1,3,5,7,9,11,14],[1,3,7,9,10,13,14],[1,4,5,8,12,13,14],[1,4,6,7,8,10,11],[1,4,6,8,9,12,14],[1,5,6,7,9,12,13],[1,6,8,9,10,11,13],[2,3,6,7,8,12,13],[2,3,6,8,9,11,14],[2,4,5,6,9,11,13],[2,4,7,8,9,10,13],[2,4,7,9,10,12,14],[2,5,6,9,10,12,14],[2,5,7,8,11,13,14],[3,4,5,8,10,13,14],[3,4,6,11,12,13,14],[3,4,7,9,11,12,13],[3,5,6,7,8,10,12],[3,5,8,9,10,11,12],[4,5,6,7,10,11,14]]; G[6652]:=Group([(1,12)(2,11)(5,13)(6,9)(8,14)]); # Design 6653: autom. group order 2, simple, residual B[6653]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,11,12,13,14],[1,2,7,8,10,11,12],[1,3,5,7,9,11,13],[1,3,7,8,9,10,14],[1,4,5,8,12,13,14],[1,4,6,7,8,11,13],[1,4,6,9,10,11,14],[1,5,6,7,9,12,14],[1,6,8,9,10,12,13],[2,3,6,7,12,13,14],[2,3,6,8,9,11,13],[2,4,5,6,9,10,12],[2,4,7,8,9,12,13],[2,4,7,9,10,13,14],[2,5,6,8,9,11,14],[2,5,7,8,10,11,14],[3,4,5,8,10,13,14],[3,4,6,8,11,12,14],[3,4,7,9,11,12,14],[3,5,6,7,8,10,12],[3,5,9,10,11,12,13],[4,5,6,7,10,11,13]]; G[6653]:=Group([(1,12)(2,11)(5,14)(6,9)]); # Design 6654: autom. group order 2, simple, residual B[6654]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,10,11,12,13],[1,2,7,8,9,11,13],[1,3,5,7,8,12,14],[1,3,7,8,10,13,14],[1,4,5,9,11,13,14],[1,4,6,7,9,10,12],[1,4,6,8,9,11,14],[1,5,6,7,11,12,14],[1,6,8,9,10,12,13],[2,3,6,7,9,11,13],[2,3,6,8,9,12,14],[2,4,5,6,8,12,13],[2,4,7,8,10,11,14],[2,4,7,9,10,12,14],[2,5,6,8,10,11,14],[2,5,7,9,12,13,14],[3,4,5,9,10,13,14],[3,4,6,11,12,13,14],[3,4,7,8,11,12,13],[3,5,6,7,9,10,11],[3,5,8,9,10,11,12],[4,5,6,7,8,10,13]]; G[6654]:=Group([(1,11)(2,12)(5,13)(6,8)(9,14)]); # Design 6655: autom. group order 2, simple, residual B[6655]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,7,8,10,12,14],[1,3,5,7,12,13,14],[1,3,7,8,9,11,13],[1,4,5,9,11,13,14],[1,4,6,7,11,12,14],[1,4,6,8,9,10,12],[1,5,6,8,9,12,14],[1,6,7,9,10,11,13],[2,3,6,7,9,12,13],[2,3,6,8,9,11,14],[2,4,5,6,11,12,13],[2,4,7,8,9,12,13],[2,4,7,9,10,11,14],[2,5,6,7,8,11,14],[2,5,9,10,12,13,14],[3,4,5,7,9,10,14],[3,4,6,8,10,13,14],[3,4,8,11,12,13,14],[3,5,6,9,10,11,12],[3,5,7,8,10,11,12],[4,5,6,7,8,10,13]]; G[6655]:=Group([(1,12)(2,11)(4,10)(6,8)]); # Design 6656: autom. group order 2, simple B[6656]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,7,8,10,11,12],[1,3,5,7,11,13,14],[1,3,7,8,12,13,14],[1,4,5,8,10,12,14],[1,4,6,7,9,11,14],[1,4,6,9,10,12,13],[1,5,6,9,11,12,14],[1,6,7,8,9,10,13],[2,3,6,7,9,11,12],[2,3,6,8,9,10,14],[2,4,5,6,12,13,14],[2,4,7,10,11,13,14],[2,4,8,9,11,13,14],[2,5,6,7,8,12,13],[2,5,7,9,10,12,14],[3,4,5,7,9,10,13],[3,4,6,8,11,12,13],[3,4,7,8,9,12,14],[3,5,6,8,10,11,14],[3,5,9,10,11,12,13],[4,5,6,7,8,10,11]]; G[6656]:=Group([(1,13)(3,14)(5,11)(6,10)]); # Design 6657: autom. group order 2, simple B[6657]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,11,12,13,14],[1,3,5,7,8,11,14],[1,3,7,8,9,10,13],[1,4,5,9,12,13,14],[1,4,6,8,10,12,14],[1,4,6,9,10,11,13],[1,5,6,7,9,10,12],[1,6,7,8,9,11,14],[2,3,6,7,9,12,14],[2,3,6,8,9,12,13],[2,4,5,6,9,11,14],[2,4,7,8,9,10,11],[2,4,7,8,10,12,14],[2,5,6,7,10,11,13],[2,5,8,9,10,13,14],[3,4,5,7,10,13,14],[3,4,6,8,11,13,14],[3,4,7,9,11,12,13],[3,5,6,8,10,11,12],[3,5,9,10,11,12,14],[4,5,6,7,8,12,13]]; G[6657]:=Group([(1,11)(2,12)(4,10)(6,9)(7,14)]); # Design 6658: autom. group order 2, simple, residual B[6658]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,8,11,12,14],[1,3,5,7,11,13,14],[1,3,7,8,9,10,13],[1,4,5,9,12,13,14],[1,4,6,8,9,10,11],[1,4,6,10,12,13,14],[1,5,6,7,9,10,12],[1,6,7,8,9,11,14],[2,3,6,7,9,12,14],[2,3,6,8,9,12,13],[2,4,5,6,9,11,14],[2,4,7,8,10,12,14],[2,4,7,9,10,11,13],[2,5,6,7,10,11,13],[2,5,8,9,10,13,14],[3,4,5,7,8,10,14],[3,4,6,8,11,13,14],[3,4,7,9,11,12,13],[3,5,6,8,10,11,12],[3,5,9,10,11,12,14],[4,5,6,7,8,12,13]]; G[6658]:=Group([(1,11)(2,12)(4,10)(6,9)(7,14)]); # Design 6659: autom. group order 2, simple B[6659]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,8,11,12,14],[1,3,5,7,11,13,14],[1,3,7,8,9,10,13],[1,4,5,9,12,13,14],[1,4,6,8,10,12,14],[1,4,6,9,10,11,13],[1,5,6,7,9,10,12],[1,6,7,8,9,11,14],[2,3,6,7,9,12,14],[2,3,6,8,9,12,13],[2,4,5,6,9,11,14],[2,4,7,8,9,10,11],[2,4,7,10,12,13,14],[2,5,6,7,10,11,13],[2,5,8,9,10,13,14],[3,4,5,7,8,10,14],[3,4,6,8,11,13,14],[3,4,7,9,11,12,13],[3,5,6,8,10,11,12],[3,5,9,10,11,12,14],[4,5,6,7,8,12,13]]; G[6659]:=Group([(1,11)(2,12)(4,10)(6,9)(7,14)]); # Design 6660: autom. group order 2, simple, residual B[6660]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,7,8,10,11,14],[1,3,5,7,9,12,14],[1,3,9,10,11,12,13],[1,4,5,7,12,13,14],[1,4,6,7,8,10,13],[1,4,6,8,9,11,14],[1,5,6,8,10,12,14],[1,6,7,9,11,12,13],[2,3,6,7,8,12,13],[2,3,6,7,9,11,14],[2,4,5,6,11,12,13],[2,4,7,9,10,12,14],[2,4,8,9,12,13,14],[2,5,6,9,10,13,14],[2,5,7,8,10,11,12],[3,4,5,10,11,13,14],[3,4,6,8,11,12,14],[3,4,7,8,9,10,13],[3,5,6,8,9,10,12],[3,5,7,8,11,13,14],[4,5,6,7,9,10,11]]; G[6660]:=Group([(2,11)(3,9)(4,13)(5,12)(8,10)]); # Design 6661: autom. group order 2, simple B[6661]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,7,8,9,10,12],[1,3,5,7,10,13,14],[1,3,8,9,11,13,14],[1,4,5,7,11,12,14],[1,4,6,7,9,11,14],[1,4,6,8,9,10,14],[1,5,6,9,10,12,13],[1,6,7,8,11,12,13],[2,3,6,7,9,12,14],[2,3,6,8,11,12,14],[2,4,5,6,8,13,14],[2,4,7,10,12,13,14],[2,4,9,10,11,13,14],[2,5,6,7,9,11,13],[2,5,7,8,9,10,11],[3,4,5,9,11,12,13],[3,4,6,7,8,10,13],[3,4,7,8,9,12,13],[3,5,6,9,10,12,14],[3,5,7,8,10,11,14],[4,5,6,8,10,11,12]]; G[6661]:=Group([(1,13)(3,14)(5,10)(6,12)(8,11)]); # Design 6662: autom. group order 2, simple, residual B[6662]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,7,8,9,10,13],[1,3,5,7,11,13,14],[1,3,8,9,11,12,14],[1,4,5,7,10,12,14],[1,4,6,7,9,10,14],[1,4,6,8,9,11,14],[1,5,6,9,11,12,13],[1,6,7,8,10,12,13],[2,3,6,7,9,12,14],[2,3,6,8,10,12,14],[2,4,5,6,8,13,14],[2,4,7,11,12,13,14],[2,4,9,10,11,13,14],[2,5,6,7,9,11,12],[2,5,7,8,9,10,11],[3,4,5,9,10,12,13],[3,4,6,7,8,11,13],[3,4,7,8,9,12,13],[3,5,6,9,10,13,14],[3,5,7,8,10,11,14],[4,5,6,8,10,11,12]]; G[6662]:=Group([(1,13)(3,14)(5,11)(6,12)(8,10)]); # Design 6663: autom. group order 2, simple B[6663]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,8,9,10,11],[1,3,5,7,11,13,14],[1,3,8,9,12,13,14],[1,4,5,7,10,12,14],[1,4,6,7,9,12,14],[1,4,6,8,9,11,14],[1,5,6,9,10,11,13],[1,6,7,8,10,12,13],[2,3,6,7,9,11,12],[2,3,6,8,10,12,14],[2,4,5,6,8,13,14],[2,4,7,10,11,13,14],[2,4,9,11,12,13,14],[2,5,6,7,9,12,13],[2,5,7,8,9,10,14],[3,4,5,9,10,12,13],[3,4,6,7,8,11,13],[3,4,7,8,9,10,13],[3,5,6,9,10,11,14],[3,5,7,8,11,12,14],[4,5,6,8,10,11,12]]; G[6663]:=Group([(1,13)(3,14)(5,11)(6,10)(8,12)]); # Design 6664: autom. group order 2, simple B[6664]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,8,9,11,13],[1,3,5,7,12,13,14],[1,3,8,9,10,12,14],[1,4,5,7,10,11,14],[1,4,6,7,9,11,14],[1,4,6,8,9,12,14],[1,5,6,9,10,12,13],[1,6,7,8,10,11,13],[2,3,6,7,9,11,12],[2,3,6,8,10,11,14],[2,4,5,6,8,13,14],[2,4,7,10,12,13,14],[2,4,9,11,12,13,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,14],[3,4,5,9,10,11,13],[3,4,6,7,8,12,13],[3,4,7,8,9,10,13],[3,5,6,9,11,13,14],[3,5,7,8,11,12,14],[4,5,6,8,10,11,12]]; G[6664]:=Group([(1,13)(3,14)(5,12)(6,10)(8,11)]); # Design 6665: autom. group order 2, simple, residual B[6665]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,7,8,9,10,12],[1,3,5,7,12,13,14],[1,3,8,9,11,13,14],[1,4,5,9,11,12,14],[1,4,6,7,8,10,14],[1,4,6,7,9,11,13],[1,5,6,9,10,12,14],[1,6,7,8,11,12,13],[2,3,6,7,9,11,12],[2,3,6,8,11,12,14],[2,4,5,6,11,13,14],[2,4,7,10,12,13,14],[2,4,8,9,12,13,14],[2,5,6,7,8,9,14],[2,5,7,9,10,11,13],[3,4,5,7,8,12,13],[3,4,6,8,9,10,13],[3,4,7,9,10,11,14],[3,5,6,9,10,12,13],[3,5,7,8,10,11,14],[4,5,6,8,10,11,12]]; G[6665]:=Group([(1,14)(3,13)(5,12)(6,10)]); # Design 6666: autom. group order 2, simple B[6666]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,7,8,9,10,12],[1,3,5,7,12,13,14],[1,3,8,9,11,13,14],[1,4,5,9,11,12,14],[1,4,6,7,8,12,13],[1,4,6,7,9,11,13],[1,5,6,9,10,12,14],[1,6,7,8,10,11,14],[2,3,6,7,9,11,12],[2,3,6,8,11,12,14],[2,4,5,6,11,13,14],[2,4,7,10,12,13,14],[2,4,8,9,12,13,14],[2,5,6,7,8,9,14],[2,5,7,9,10,11,13],[3,4,5,7,8,10,14],[3,4,6,8,9,10,13],[3,4,7,9,10,11,14],[3,5,6,9,10,12,13],[3,5,7,8,11,12,13],[4,5,6,8,10,11,12]]; G[6666]:=Group([(1,14)(3,13)(5,12)(6,10)]); # Design 6667: autom. group order 2, simple B[6667]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,7,8,10,11,12],[1,3,5,11,12,13,14],[1,3,7,8,12,13,14],[1,4,5,7,8,10,14],[1,4,6,7,9,10,13],[1,4,6,9,11,12,14],[1,5,6,7,9,11,14],[1,6,8,9,10,12,13],[2,3,6,7,9,11,12],[2,3,6,8,9,10,14],[2,4,5,6,12,13,14],[2,4,7,10,11,13,14],[2,4,8,9,11,13,14],[2,5,6,7,8,12,13],[2,5,7,9,10,12,14],[3,4,5,9,10,12,13],[3,4,6,7,8,11,13],[3,4,7,8,9,12,14],[3,5,6,8,10,11,14],[3,5,7,9,10,11,13],[4,5,6,8,10,11,12]]; G[6667]:=Group([(1,13)(3,14)(5,11)(6,10)]); # Design 6668: autom. group order 2, simple, residual B[6668]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,7,8,10,12,14],[1,3,5,9,12,13,14],[1,3,7,8,9,11,13],[1,4,5,7,9,11,14],[1,4,6,7,11,12,14],[1,4,6,8,9,10,12],[1,5,6,8,12,13,14],[1,6,7,9,10,11,13],[2,3,6,7,8,11,14],[2,3,6,7,9,12,13],[2,4,5,6,11,12,13],[2,4,7,8,9,12,13],[2,4,9,10,11,13,14],[2,5,6,8,9,11,14],[2,5,7,9,10,12,14],[3,4,5,7,10,13,14],[3,4,6,8,9,10,14],[3,4,8,11,12,13,14],[3,5,6,9,10,11,12],[3,5,7,8,10,11,12],[4,5,6,7,8,10,13]]; G[6668]:=Group([(1,12)(2,11)(4,10)(6,8)]); # Design 6669: autom. group order 2, simple, residual B[6669]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,7,8,9,10,12],[1,3,5,9,12,13,14],[1,3,7,9,11,13,14],[1,4,5,7,11,12,14],[1,4,6,7,8,12,13],[1,4,6,8,9,11,13],[1,5,6,9,10,12,14],[1,6,7,8,10,11,14],[2,3,6,7,9,11,12],[2,3,6,8,11,12,14],[2,4,5,6,11,13,14],[2,4,7,10,12,13,14],[2,4,8,9,12,13,14],[2,5,6,7,8,9,14],[2,5,7,9,10,11,13],[3,4,5,7,8,10,14],[3,4,6,7,9,10,13],[3,4,8,9,10,11,14],[3,5,6,8,10,12,13],[3,5,7,8,11,12,13],[4,5,6,9,10,11,12]]; G[6669]:=Group([(1,14)(3,13)(5,12)(6,10)]); # Design 6670: autom. group order 2, simple, residual B[6670]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,10,13],[1,2,7,8,10,11,12],[1,3,5,11,12,13,14],[1,3,7,8,11,13,14],[1,4,5,9,11,12,14],[1,4,6,7,8,12,13],[1,4,6,7,9,10,14],[1,5,6,7,9,12,13],[1,6,8,9,10,11,14],[2,3,6,7,9,11,12],[2,3,6,8,9,12,14],[2,4,5,6,11,13,14],[2,4,7,10,12,13,14],[2,4,8,9,12,13,14],[2,5,6,7,8,11,14],[2,5,7,9,10,11,13],[3,4,5,7,8,10,14],[3,4,6,9,10,11,13],[3,4,7,8,9,11,13],[3,5,6,8,10,12,13],[3,5,7,9,10,12,14],[4,5,6,8,10,11,12]]; G[6670]:=Group([(1,14)(3,13)(5,12)(6,10)]); # Design 6671: autom. group order 2, simple B[6671]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,7,8,10,11,12],[1,3,5,11,12,13,14],[1,3,7,8,12,13,14],[1,4,5,9,10,12,14],[1,4,6,7,8,11,14],[1,4,6,7,9,10,13],[1,5,6,7,9,11,14],[1,6,8,9,10,12,13],[2,3,6,7,9,11,12],[2,3,6,8,9,10,14],[2,4,5,6,12,13,14],[2,4,7,10,11,13,14],[2,4,8,9,11,13,14],[2,5,6,7,8,12,13],[2,5,7,9,10,12,14],[3,4,5,7,8,10,13],[3,4,6,9,11,12,13],[3,4,7,8,9,12,14],[3,5,6,8,10,11,14],[3,5,7,9,10,11,13],[4,5,6,8,10,11,12]]; G[6671]:=Group([(1,13)(3,14)(5,11)(6,10)]); # Design 6672: autom. group order 2, simple, residual B[6672]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,7,8,9,10,12],[1,3,5,9,12,13,14],[1,3,7,8,11,13,14],[1,4,5,9,11,12,14],[1,4,6,7,8,12,13],[1,4,6,7,9,11,13],[1,5,6,7,10,12,14],[1,6,8,9,10,11,14],[2,3,6,7,9,11,12],[2,3,6,8,11,12,14],[2,4,5,6,11,13,14],[2,4,7,10,12,13,14],[2,4,8,9,12,13,14],[2,5,6,7,8,9,14],[2,5,7,9,10,11,13],[3,4,5,7,8,10,14],[3,4,6,8,9,10,13],[3,4,7,9,10,11,14],[3,5,6,9,10,12,13],[3,5,7,8,11,12,13],[4,5,6,8,10,11,12]]; G[6672]:=Group([(1,14)(3,13)(5,12)(6,10)]); # Design 6673: autom. group order 2, simple B[6673]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,7,8,9,10,12],[1,3,5,9,10,13,14],[1,3,7,8,11,13,14],[1,4,5,9,11,12,14],[1,4,6,7,8,10,14],[1,4,6,7,9,12,13],[1,5,6,7,10,11,14],[1,6,8,9,11,12,13],[2,3,6,7,9,12,14],[2,3,6,8,11,12,14],[2,4,5,6,8,13,14],[2,4,7,10,12,13,14],[2,4,9,10,11,13,14],[2,5,6,7,9,11,13],[2,5,7,8,9,10,11],[3,4,5,7,11,12,13],[3,4,6,8,9,10,13],[3,4,7,8,9,11,14],[3,5,6,9,10,12,14],[3,5,7,8,10,12,13],[4,5,6,8,10,11,12]]; G[6673]:=Group([(1,13)(3,14)(5,10)(6,12)(8,11)]); # Design 6674: autom. group order 2, simple, residual B[6674]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,8,9,10,11],[1,3,5,9,11,13,14],[1,3,7,8,12,13,14],[1,4,5,9,10,12,14],[1,4,6,7,8,11,14],[1,4,6,7,9,10,13],[1,5,6,7,11,12,14],[1,6,8,9,10,12,13],[2,3,6,7,9,11,12],[2,3,6,8,10,12,14],[2,4,5,6,8,13,14],[2,4,7,10,11,13,14],[2,4,9,11,12,13,14],[2,5,6,7,9,12,13],[2,5,7,8,9,10,14],[3,4,5,7,10,12,13],[3,4,6,8,9,11,13],[3,4,7,8,9,12,14],[3,5,6,9,10,11,14],[3,5,7,8,10,11,13],[4,5,6,8,10,11,12]]; G[6674]:=Group([(1,13)(3,14)(5,11)(6,10)(8,12)]); # Design 6675: autom. group order 2, simple, residual B[6675]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,8,9,10,12,14],[1,3,5,7,12,13,14],[1,3,7,8,9,11,13],[1,4,5,7,9,11,14],[1,4,6,7,8,10,12],[1,4,6,9,11,12,14],[1,5,6,8,12,13,14],[1,6,7,9,10,11,13],[2,3,6,7,9,12,13],[2,3,6,8,9,11,14],[2,4,5,6,11,12,13],[2,4,7,8,9,12,13],[2,4,7,10,11,13,14],[2,5,6,7,8,11,14],[2,5,7,9,10,12,14],[3,4,5,9,10,13,14],[3,4,6,7,8,10,14],[3,4,8,11,12,13,14],[3,5,6,9,10,11,12],[3,5,7,8,10,11,12],[4,5,6,8,9,10,13]]; G[6675]:=Group([(1,12)(2,11)(4,10)(6,8)]); # Design 6676: autom. group order 2, simple, residual B[6676]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,8,9,10,12,14],[1,3,5,9,12,13,14],[1,3,7,8,9,11,13],[1,4,5,7,11,13,14],[1,4,6,7,8,10,12],[1,4,6,9,11,12,14],[1,5,6,7,8,12,14],[1,6,7,9,10,11,13],[2,3,6,7,8,11,14],[2,3,6,7,9,12,13],[2,4,5,6,11,12,13],[2,4,7,8,9,12,13],[2,4,7,9,10,11,14],[2,5,6,8,9,11,14],[2,5,7,10,12,13,14],[3,4,5,7,9,10,14],[3,4,6,8,10,13,14],[3,4,8,11,12,13,14],[3,5,6,9,10,11,12],[3,5,7,8,10,11,12],[4,5,6,8,9,10,13]]; G[6676]:=Group([(1,12)(2,11)(4,10)(6,8)]); # Design 6677: autom. group order 2, simple, residual B[6677]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,13],[1,2,7,9,11,13,14],[1,3,5,7,11,12,14],[1,3,8,9,10,11,14],[1,4,5,8,12,13,14],[1,4,6,7,11,12,13],[1,4,6,9,10,12,14],[1,5,6,8,9,11,13],[1,6,7,8,9,10,12],[2,3,6,8,9,12,13],[2,3,7,9,12,13,14],[2,4,5,6,9,11,14],[2,4,6,7,8,10,14],[2,4,7,8,9,11,12],[2,5,6,10,11,12,13],[2,5,8,10,11,12,14],[3,4,5,9,10,12,13],[3,4,6,8,11,13,14],[3,4,7,8,10,11,13],[3,5,6,7,8,12,14],[3,5,6,7,9,10,11],[4,5,7,9,10,13,14]]; G[6677]:=Group([(1,11)(3,12)(4,10)(6,8)(7,14)(9,13)]); # Design 6678: autom. group order 2, simple, residual B[6678]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,9,10,13,14],[1,3,5,7,11,12,14],[1,3,8,9,10,11,14],[1,4,5,9,12,13,14],[1,4,6,7,8,10,12],[1,4,6,11,12,13,14],[1,5,6,8,9,11,13],[1,6,7,8,9,10,12],[2,3,6,8,9,12,13],[2,3,7,8,12,13,14],[2,4,5,6,9,10,14],[2,4,6,7,8,11,14],[2,4,8,9,11,12,14],[2,5,6,10,11,12,13],[2,5,7,9,10,11,12],[3,4,5,8,10,12,13],[3,4,6,7,9,11,13],[3,4,7,9,10,11,13],[3,5,6,7,9,12,14],[3,5,6,8,10,11,14],[4,5,7,8,10,13,14]]; G[6678]:=Group([(1,11)(3,12)(4,10)(6,9)(8,13)]); # Design 6679: autom. group order 2, simple, residual B[6679]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,13],[1,2,7,9,11,13,14],[1,3,5,9,11,12,13],[1,3,8,9,10,11,14],[1,4,5,8,12,13,14],[1,4,6,7,11,12,13],[1,4,6,9,10,12,14],[1,5,6,7,8,11,14],[1,6,7,8,9,10,12],[2,3,6,7,8,12,14],[2,3,7,9,12,13,14],[2,4,5,6,9,11,14],[2,4,6,8,9,10,13],[2,4,7,8,9,11,12],[2,5,6,10,11,12,13],[2,5,8,10,11,12,14],[3,4,5,7,10,12,14],[3,4,6,8,11,13,14],[3,4,7,8,10,11,13],[3,5,6,7,9,10,11],[3,5,6,8,9,12,13],[4,5,7,9,10,13,14]]; G[6679]:=Group([(1,11)(3,12)(4,10)(6,8)(7,14)(9,13)]); # Design 6680: autom. group order 2, simple B[6680]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,8,9,10,12,13],[1,3,5,9,10,12,14],[1,3,7,9,11,13,14],[1,4,5,7,10,11,14],[1,4,6,7,8,12,14],[1,4,6,8,12,13,14],[1,5,6,9,11,12,13],[1,6,7,8,9,10,11],[2,3,6,7,11,12,13],[2,3,7,8,9,12,14],[2,4,5,6,9,13,14],[2,4,6,8,9,10,11],[2,4,7,9,11,12,14],[2,5,6,10,11,12,14],[2,5,7,8,10,13,14],[3,4,5,8,11,12,13],[3,4,6,7,9,10,13],[3,4,8,10,11,13,14],[3,5,6,7,8,10,12],[3,5,6,8,9,11,14],[4,5,7,9,10,12,13]]; G[6680]:=Group([(1,6)(2,9)(3,11)(4,8)(5,10)(12,14)]); # Design 6681: autom. group order 2, simple, residual B[6681]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,8,9,10,13,14],[1,3,5,9,10,12,14],[1,3,7,9,11,12,13],[1,4,5,7,10,11,14],[1,4,6,7,8,12,14],[1,4,6,8,12,13,14],[1,5,6,9,11,12,13],[1,6,7,8,9,10,11],[2,3,6,7,11,13,14],[2,3,7,8,9,12,14],[2,4,5,6,9,12,13],[2,4,6,8,9,10,11],[2,4,7,9,11,12,14],[2,5,6,10,11,12,14],[2,5,7,8,10,12,13],[3,4,5,8,11,13,14],[3,4,6,7,9,10,13],[3,4,8,10,11,12,13],[3,5,6,7,8,10,12],[3,5,6,8,9,11,14],[4,5,7,9,10,13,14]]; G[6681]:=Group([(1,6)(2,9)(3,11)(4,8)(5,10)(12,14)]); # Design 6682: autom. group order 2, simple, residual B[6682]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,8,9,11,12,14],[1,3,5,9,10,11,14],[1,3,7,8,9,12,13],[1,4,5,7,12,13,14],[1,4,6,7,8,10,14],[1,4,6,9,10,11,13],[1,5,6,8,10,12,13],[1,6,7,9,11,12,14],[2,3,6,7,9,11,13],[2,3,7,10,12,13,14],[2,4,5,6,9,12,14],[2,4,6,8,11,12,13],[2,4,8,9,10,13,14],[2,5,6,7,9,10,12],[2,5,7,8,10,11,14],[3,4,5,11,12,13,14],[3,4,6,7,8,11,14],[3,4,7,8,9,10,12],[3,5,6,8,9,13,14],[3,5,6,8,10,11,12],[4,5,7,9,10,11,13]]; G[6682]:=Group([(2,9)(3,11)(4,14)(5,12)]); # Design 6683: autom. group order 2, simple, residual B[6683]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,8,9,11,12,14],[1,3,5,9,10,11,14],[1,3,7,8,9,12,13],[1,4,5,7,12,13,14],[1,4,6,7,8,10,14],[1,4,6,9,10,11,13],[1,5,6,8,10,12,13],[1,6,7,9,11,12,14],[2,3,6,7,9,11,13],[2,3,7,8,10,12,14],[2,4,5,6,9,12,14],[2,4,6,8,11,12,13],[2,4,8,9,10,13,14],[2,5,6,7,9,10,12],[2,5,7,10,11,13,14],[3,4,5,11,12,13,14],[3,4,6,7,8,11,14],[3,4,7,9,10,12,13],[3,5,6,8,9,13,14],[3,5,6,8,10,11,12],[4,5,7,8,9,10,11]]; G[6683]:=Group([(2,9)(3,11)(4,14)(5,12)]); # Design 6684: autom. group order 2, simple, residual B[6684]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,11,12,13,14],[1,2,7,8,10,11,13],[1,3,5,7,9,11,14],[1,3,7,8,9,10,12],[1,4,5,8,12,13,14],[1,4,6,7,8,11,14],[1,4,6,9,10,11,13],[1,5,6,7,9,12,13],[1,6,8,9,10,12,14],[2,3,6,8,9,11,14],[2,3,7,9,12,13,14],[2,4,5,6,9,10,12],[2,4,6,7,8,12,14],[2,4,7,9,10,13,14],[2,5,6,8,9,11,13],[2,5,7,8,10,11,12],[3,4,5,8,10,13,14],[3,4,6,7,11,12,13],[3,4,8,9,11,12,13],[3,5,6,7,8,10,13],[3,5,6,10,11,12,14],[4,5,7,9,10,11,14]]; G[6684]:=Group([(1,12)(2,11)(5,13)]); # Design 6685: autom. group order 2, simple, residual B[6685]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,9,10,11,13],[1,3,5,7,8,11,14],[1,3,7,9,10,12,14],[1,4,5,9,12,13,14],[1,4,6,7,9,11,13],[1,4,6,8,10,11,14],[1,5,6,8,10,12,13],[1,6,7,8,9,12,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,7,12,14],[2,4,6,8,9,10,12],[2,4,7,8,10,13,14],[2,5,6,9,11,13,14],[2,5,7,10,11,12,14],[3,4,5,9,10,13,14],[3,4,6,7,11,12,13],[3,4,8,11,12,13,14],[3,5,6,7,8,10,13],[3,5,6,9,10,11,12],[4,5,7,8,9,10,11]]; G[6685]:=Group([(1,12)(2,11)(5,13)(9,14)]); # Design 6686: autom. group order 2, simple, residual B[6686]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,7,8,10,11,14],[1,3,5,7,9,12,14],[1,3,9,10,11,12,13],[1,4,5,7,12,13,14],[1,4,6,7,8,10,13],[1,4,6,8,9,11,14],[1,5,6,8,10,12,14],[1,6,7,9,11,12,13],[2,3,6,7,9,11,14],[2,3,7,8,12,13,14],[2,4,5,6,11,12,13],[2,4,6,7,9,10,12],[2,4,8,9,12,13,14],[2,5,6,9,10,13,14],[2,5,7,8,10,11,12],[3,4,5,10,11,13,14],[3,4,6,8,11,12,14],[3,4,7,8,9,10,13],[3,5,6,7,8,11,13],[3,5,6,8,9,10,12],[4,5,7,9,10,11,14]]; G[6686]:=Group([(2,11)(3,9)(4,13)(5,12)(8,10)]); # Design 6687: autom. group order 2, simple, residual B[6687]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,7,8,10,11,14],[1,3,5,7,9,12,14],[1,3,9,10,11,12,13],[1,4,5,7,12,13,14],[1,4,6,7,8,10,13],[1,4,6,8,9,11,14],[1,5,6,8,10,12,14],[1,6,7,9,11,12,13],[2,3,6,7,9,11,14],[2,3,7,8,12,13,14],[2,4,5,6,11,12,13],[2,4,6,9,10,12,14],[2,4,8,9,12,13,14],[2,5,6,7,9,10,13],[2,5,7,8,10,11,12],[3,4,5,10,11,13,14],[3,4,6,7,8,11,12],[3,4,7,8,9,10,13],[3,5,6,8,9,10,12],[3,5,6,8,11,13,14],[4,5,7,9,10,11,14]]; G[6687]:=Group([(2,11)(3,9)(4,13)(5,12)(8,10)]); # Design 6688: autom. group order 2, simple, residual B[6688]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,9,10,12,14],[1,3,5,11,12,13,14],[1,3,7,8,9,13,14],[1,4,5,8,10,12,14],[1,4,6,7,9,11,12],[1,4,6,8,9,10,13],[1,5,6,9,10,11,13],[1,6,7,8,11,12,14],[2,3,6,7,9,12,13],[2,3,8,9,10,11,12],[2,4,5,6,12,13,14],[2,4,7,10,11,13,14],[2,4,8,9,11,13,14],[2,5,6,7,8,10,11],[2,5,6,8,9,12,14],[3,4,5,7,9,11,14],[3,4,6,7,8,10,14],[3,4,6,8,11,12,13],[3,5,6,9,10,11,14],[3,5,7,8,10,12,13],[4,5,7,9,10,12,13]]; G[6688]:=Group([(1,13)(3,14)(5,11)(6,10)]); # Design 6689: autom. group order 2, simple B[6689]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,7,8,9,11,12],[1,3,5,8,10,11,13],[1,3,7,8,9,12,14],[1,4,5,9,10,12,13],[1,4,6,7,8,11,14],[1,4,6,9,12,13,14],[1,5,6,8,10,12,14],[1,6,7,9,10,11,13],[2,3,6,8,9,10,14],[2,3,9,11,12,13,14],[2,4,5,6,11,12,14],[2,4,7,8,10,12,13],[2,4,7,8,10,13,14],[2,5,6,7,9,10,12],[2,5,6,8,9,11,13],[3,4,5,7,9,13,14],[3,4,6,7,9,10,11],[3,4,6,8,11,12,13],[3,5,6,7,8,12,13],[3,5,7,10,11,12,14],[4,5,8,9,10,11,14]]; G[6689]:=Group([(1,9)(2,10)(3,6)(4,7)(5,11)(8,13)]); # Design 6690: autom. group order 2, simple B[6690]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,8,9,10,12,14],[1,3,5,9,11,13,14],[1,3,7,10,11,12,13],[1,4,5,7,10,12,14],[1,4,6,7,9,11,14],[1,4,6,8,9,11,12],[1,5,6,8,12,13,14],[1,6,7,8,9,10,13],[2,3,6,7,9,12,13],[2,3,7,8,9,12,14],[2,4,5,6,12,13,14],[2,4,7,9,11,13,14],[2,4,8,10,11,13,14],[2,5,6,7,8,10,11],[2,5,6,9,10,11,12],[3,4,5,8,9,10,13],[3,4,6,7,8,10,14],[3,4,6,8,11,12,13],[3,5,6,9,10,11,14],[3,5,7,8,11,12,14],[4,5,7,9,10,12,13]]; G[6690]:=Group([(1,13)(3,14)(5,11)(6,10)(7,8)]); # Design 6691: autom. group order 2, simple B[6691]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,8,9,10,12,14],[1,3,5,11,12,13,14],[1,3,7,9,10,11,13],[1,4,5,7,10,12,14],[1,4,6,7,9,11,14],[1,4,6,8,9,11,12],[1,5,6,8,9,13,14],[1,6,7,8,10,12,13],[2,3,6,7,9,12,13],[2,3,7,8,9,12,14],[2,4,5,6,12,13,14],[2,4,7,9,11,13,14],[2,4,8,10,11,13,14],[2,5,6,7,8,10,11],[2,5,6,9,10,11,12],[3,4,5,8,9,10,13],[3,4,6,7,8,10,14],[3,4,6,8,11,12,13],[3,5,6,9,10,11,14],[3,5,7,8,11,12,14],[4,5,7,9,10,12,13]]; G[6691]:=Group([(1,13)(3,14)(5,11)(6,10)(7,8)]); # Design 6692: autom. group order 2, simple B[6692]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,8,9,10,12,14],[1,3,5,9,11,13,14],[1,3,7,8,12,13,14],[1,4,5,7,10,12,14],[1,4,6,7,9,11,14],[1,4,6,8,9,11,12],[1,5,6,10,11,12,13],[1,6,7,8,9,10,13],[2,3,6,7,9,12,13],[2,3,7,9,10,11,12],[2,4,5,6,12,13,14],[2,4,7,9,11,13,14],[2,4,8,10,11,13,14],[2,5,6,7,8,10,11],[2,5,6,8,9,12,14],[3,4,5,8,9,10,13],[3,4,6,7,8,10,14],[3,4,6,8,11,12,13],[3,5,6,9,10,11,14],[3,5,7,8,11,12,14],[4,5,7,9,10,12,13]]; G[6692]:=Group([(1,13)(3,14)(5,11)(6,10)(7,8)]); # Design 6693: autom. group order 2, simple, residual B[6693]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,8,9,11,12,14],[1,3,5,9,10,11,14],[1,3,7,8,9,12,13],[1,4,5,7,12,13,14],[1,4,6,7,8,10,14],[1,4,6,9,10,11,13],[1,5,6,8,10,12,13],[1,6,7,9,11,12,14],[2,3,6,7,9,11,13],[2,3,7,10,12,13,14],[2,4,5,6,9,12,14],[2,4,7,8,10,11,12],[2,4,8,9,10,13,14],[2,5,6,7,9,10,12],[2,5,6,8,11,13,14],[3,4,5,11,12,13,14],[3,4,6,7,8,11,14],[3,4,6,8,9,12,13],[3,5,6,8,10,11,12],[3,5,7,8,9,10,14],[4,5,7,9,10,11,13]]; G[6693]:=Group([(2,9)(3,11)(4,14)(5,12)]); # Design 6694: autom. group order 2, simple, residual B[6694]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,8,9,11,12,14],[1,3,5,9,10,11,14],[1,3,7,8,9,12,13],[1,4,5,7,12,13,14],[1,4,6,7,8,10,14],[1,4,6,9,10,11,13],[1,5,6,8,10,12,13],[1,6,7,9,11,12,14],[2,3,6,7,9,11,13],[2,3,7,8,10,12,14],[2,4,5,6,9,12,14],[2,4,7,10,11,12,13],[2,4,8,9,10,13,14],[2,5,6,7,9,10,12],[2,5,6,8,11,13,14],[3,4,5,11,12,13,14],[3,4,6,7,8,11,14],[3,4,6,8,9,12,13],[3,5,6,8,10,11,12],[3,5,7,9,10,13,14],[4,5,7,8,9,10,11]]; G[6694]:=Group([(2,9)(3,11)(4,14)(5,12)]); # Design 6695: autom. group order 2, simple, residual B[6695]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,9,10,11,14],[1,3,5,7,12,13,14],[1,3,8,9,11,13,14],[1,4,5,7,8,10,14],[1,4,6,7,9,11,12],[1,4,6,8,9,10,13],[1,5,6,9,10,12,13],[1,6,7,8,11,12,14],[2,3,6,7,9,11,13],[2,3,7,8,9,10,12],[2,4,5,6,11,13,14],[2,4,7,10,12,13,14],[2,4,8,9,12,13,14],[2,5,6,7,8,9,14],[2,5,6,8,10,11,12],[3,4,5,9,11,12,14],[3,4,6,7,8,12,13],[3,4,6,8,10,11,14],[3,5,6,9,10,12,14],[3,5,7,8,10,11,13],[4,5,7,9,10,11,13]]; G[6695]:=Group([(1,13)(3,14)(5,12)(6,10)]); # Design 6696: autom. group order 2, simple B[6696]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,8,9,10,14],[1,3,5,7,11,13,14],[1,3,8,9,10,11,13],[1,4,5,7,10,12,14],[1,4,6,7,9,11,12],[1,4,6,8,9,11,14],[1,5,6,9,12,13,14],[1,6,7,8,10,12,13],[2,3,6,7,9,12,13],[2,3,7,8,9,12,14],[2,4,5,6,8,13,14],[2,4,7,10,11,13,14],[2,4,9,11,12,13,14],[2,5,6,7,9,10,11],[2,5,6,8,10,11,12],[3,4,5,9,10,12,13],[3,4,6,7,8,11,13],[3,4,6,8,10,12,14],[3,5,6,9,10,11,14],[3,5,7,8,11,12,14],[4,5,7,8,9,10,13]]; G[6696]:=Group([(1,13)(3,14)(5,11)(6,10)(8,12)]); # Design 6697: autom. group order 2, simple B[6697]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,8,9,10,14],[1,3,5,9,11,13,14],[1,3,7,8,10,11,13],[1,4,5,7,10,12,14],[1,4,6,7,9,11,12],[1,4,6,8,9,11,14],[1,5,6,7,12,13,14],[1,6,8,9,10,12,13],[2,3,6,7,9,12,13],[2,3,7,8,9,12,14],[2,4,5,6,8,13,14],[2,4,7,10,11,13,14],[2,4,9,11,12,13,14],[2,5,6,7,9,10,11],[2,5,6,8,10,11,12],[3,4,5,9,10,12,13],[3,4,6,7,8,11,13],[3,4,6,8,10,12,14],[3,5,6,9,10,11,14],[3,5,7,8,11,12,14],[4,5,7,8,9,10,13]]; G[6697]:=Group([(1,13)(3,14)(5,11)(6,10)(8,12)]); # Design 6698: autom. group order 2, simple B[6698]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,8,9,10,14],[1,3,5,9,11,13,14],[1,3,7,8,12,13,14],[1,4,5,7,10,12,14],[1,4,6,7,9,11,12],[1,4,6,8,9,11,14],[1,5,6,7,10,11,13],[1,6,8,9,10,12,13],[2,3,6,7,9,12,13],[2,3,7,8,9,10,11],[2,4,5,6,8,13,14],[2,4,7,10,11,13,14],[2,4,9,11,12,13,14],[2,5,6,7,9,12,14],[2,5,6,8,10,11,12],[3,4,5,9,10,12,13],[3,4,6,7,8,11,13],[3,4,6,8,10,12,14],[3,5,6,9,10,11,14],[3,5,7,8,11,12,14],[4,5,7,8,9,10,13]]; G[6698]:=Group([(1,13)(3,14)(5,11)(6,10)(8,12)]); # Design 6699: autom. group order 2, simple, residual B[6699]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,7,8,9,10,12],[1,3,5,9,10,13,14],[1,3,7,8,11,13,14],[1,4,5,9,11,12,14],[1,4,6,7,8,10,14],[1,4,6,7,9,12,13],[1,5,6,7,10,11,14],[1,6,8,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,11,14],[2,4,5,6,8,13,14],[2,4,7,10,12,13,14],[2,4,9,10,11,13,14],[2,5,6,7,9,11,13],[2,5,6,8,10,11,12],[3,4,5,7,11,12,13],[3,4,6,8,9,10,13],[3,4,6,8,11,12,14],[3,5,6,9,10,12,14],[3,5,7,8,10,12,13],[4,5,7,8,9,10,11]]; G[6699]:=Group([(1,13)(3,14)(5,10)(6,12)(8,11)]); # Design 6700: autom. group order 2, simple B[6700]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,7,12,13,14],[1,3,5,6,8,12,14],[1,3,7,8,9,11,13],[1,4,5,9,11,13,14],[1,4,6,9,12,13,14],[1,4,7,8,9,10,14],[1,5,7,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,9,10,11,14],[2,3,7,8,9,12,13],[2,4,5,7,11,12,14],[2,4,6,7,9,10,13],[2,4,6,8,9,11,12],[2,5,7,8,11,13,14],[2,5,8,9,10,12,14],[3,4,5,7,10,12,13],[3,4,6,7,8,11,14],[3,4,8,10,12,13,14],[3,5,6,7,9,10,14],[3,5,6,9,11,12,13],[4,5,6,8,10,11,13]]; G[6700]:=Group([(2,11)(3,10)(4,12)(5,7)(6,9)]); # Design 6701: autom. group order 2, simple B[6701]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,7,12,13,14],[1,3,5,6,8,12,14],[1,3,7,8,9,11,13],[1,4,5,9,11,13,14],[1,4,6,9,12,13,14],[1,4,7,8,9,10,14],[1,5,7,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,9,10,11,14],[2,3,7,8,9,12,14],[2,4,5,7,11,12,14],[2,4,6,7,9,10,13],[2,4,6,8,9,11,12],[2,5,7,8,11,13,14],[2,5,8,9,10,12,13],[3,4,5,7,10,12,13],[3,4,6,7,8,11,13],[3,4,8,10,12,13,14],[3,5,6,7,9,10,14],[3,5,6,9,11,12,13],[4,5,6,8,10,11,14]]; G[6701]:=Group([(2,11)(3,10)(4,12)(5,7)(6,9)]); # Design 6702: autom. group order 2, simple B[6702]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,12,13],[1,2,6,7,8,10,14],[1,3,5,6,9,11,14],[1,3,7,9,12,13,14],[1,4,5,8,11,13,14],[1,4,6,8,9,10,13],[1,4,7,8,12,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,8,10,11,13],[2,4,5,9,10,12,13],[2,4,6,9,11,13,14],[2,4,7,9,11,12,14],[2,5,6,8,11,12,14],[2,5,7,8,9,10,14],[3,4,5,8,10,12,14],[3,4,6,7,8,11,12],[3,4,6,7,9,10,14],[3,5,6,10,12,13,14],[3,5,7,8,9,11,13],[4,5,6,7,10,11,13]]; G[6702]:=Group([(2,10)(3,11)(4,12)(5,9)(7,8)]); # Design 6703: autom. group order 2, simple B[6703]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,12,13],[1,2,6,7,8,10,14],[1,3,5,6,9,11,14],[1,3,7,8,12,13,14],[1,4,5,9,10,13,14],[1,4,6,8,9,11,13],[1,4,7,9,12,13,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,9,10,11,13],[2,4,5,8,11,12,14],[2,4,6,11,12,13,14],[2,4,7,8,9,10,14],[2,5,6,9,10,12,14],[2,5,7,8,9,11,13],[3,4,5,8,10,12,13],[3,4,6,7,8,11,14],[3,4,6,7,9,10,12],[3,5,6,8,10,13,14],[3,5,7,9,11,12,14],[4,5,6,7,10,11,13]]; G[6703]:=Group([(2,11)(3,10)(4,12)(5,8)(7,9)]); # Design 6704: autom. group order 2, simple, residual B[6704]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,12,13],[1,2,6,7,8,10,14],[1,3,5,6,9,11,14],[1,3,7,8,11,13,14],[1,4,5,9,12,13,14],[1,4,6,8,9,10,13],[1,4,7,8,12,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,9,10,12,13],[2,4,5,8,10,11,13],[2,4,6,9,11,13,14],[2,4,7,9,11,12,14],[2,5,6,8,11,12,14],[2,5,7,8,9,10,14],[3,4,5,8,10,12,14],[3,4,6,7,8,11,12],[3,4,6,7,9,10,14],[3,5,6,10,12,13,14],[3,5,7,8,9,11,13],[4,5,6,7,10,11,13]]; G[6704]:=Group([(2,10)(3,11)(4,12)(5,9)(7,8)]); # Design 6705: autom. group order 2, simple, residual B[6705]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,10,13,14],[1,2,6,7,8,12,13],[1,3,5,6,8,12,14],[1,3,7,8,9,10,11],[1,4,5,9,11,13,14],[1,4,6,7,11,12,13],[1,4,7,9,10,12,14],[1,5,7,8,9,10,13],[1,6,8,9,11,12,14],[2,3,6,7,9,11,14],[2,3,8,9,12,13,14],[2,4,5,7,9,12,14],[2,4,6,8,9,10,13],[2,4,7,8,11,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,11,12],[3,4,5,8,11,12,13],[3,4,6,7,8,10,14],[3,4,6,9,10,12,13],[3,5,6,7,9,11,13],[3,5,7,10,12,13,14],[4,5,6,8,10,11,14]]; G[6705]:=Group([(1,10)(3,11)(4,12)(7,9)]); # Design 6706: autom. group order 2, simple B[6706]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,6,7,8,10,14],[1,3,5,6,9,11,14],[1,3,7,9,12,13,14],[1,4,5,8,11,13,14],[1,4,6,7,9,10,13],[1,4,7,8,12,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,9,12,13,14],[2,3,7,8,10,11,13],[2,4,5,9,10,12,13],[2,4,6,7,9,11,13],[2,4,8,9,11,12,14],[2,5,6,7,11,12,14],[2,5,7,8,9,10,14],[3,4,5,7,10,12,14],[3,4,6,7,8,11,12],[3,4,6,8,9,10,14],[3,5,6,8,10,12,13],[3,5,7,8,9,11,13],[4,5,6,10,11,13,14]]; G[6706]:=Group([(2,10)(3,11)(4,12)(5,9)(7,8)]); # Design 6707: autom. group order 2, simple, residual B[6707]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,6,7,8,10,14],[1,3,5,6,9,11,14],[1,3,7,8,11,13,14],[1,4,5,9,12,13,14],[1,4,6,7,9,10,13],[1,4,7,8,12,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,9,12,13,14],[2,3,7,9,10,12,13],[2,4,5,8,10,11,13],[2,4,6,7,9,11,13],[2,4,8,9,11,12,14],[2,5,6,7,11,12,14],[2,5,7,8,9,10,14],[3,4,5,7,10,12,14],[3,4,6,7,8,11,12],[3,4,6,8,9,10,14],[3,5,6,8,10,12,13],[3,5,7,8,9,11,13],[4,5,6,10,11,13,14]]; G[6707]:=Group([(2,10)(3,11)(4,12)(5,9)(7,8)]); # Design 6708: autom. group order 2, simple B[6708]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,10,13,14],[1,2,6,7,8,12,13],[1,3,5,6,8,12,14],[1,3,7,8,9,10,11],[1,4,5,9,11,13,14],[1,4,6,7,11,12,13],[1,4,7,9,10,12,14],[1,5,8,9,11,12,13],[1,6,7,8,9,10,14],[2,3,6,7,9,11,14],[2,3,8,9,12,13,14],[2,4,5,7,9,12,14],[2,4,6,8,9,10,13],[2,4,7,8,11,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,11,12],[3,4,5,7,8,10,13],[3,4,6,8,11,12,14],[3,4,6,9,10,12,13],[3,5,6,7,9,11,13],[3,5,7,10,12,13,14],[4,5,6,8,10,11,14]]; G[6708]:=Group([(1,10)(3,11)(4,12)(7,9)]); # Design 6709: autom. group order 2, simple B[6709]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,10,13,14],[1,2,6,7,8,12,13],[1,3,5,6,8,12,14],[1,3,7,8,9,10,11],[1,4,5,8,9,11,13],[1,4,6,7,11,12,13],[1,4,7,9,10,12,14],[1,5,9,11,12,13,14],[1,6,7,8,9,10,14],[2,3,6,7,9,11,14],[2,3,8,9,12,13,14],[2,4,5,7,9,12,14],[2,4,6,8,9,10,13],[2,4,7,8,11,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,11,12],[3,4,5,7,10,13,14],[3,4,6,8,11,12,14],[3,4,6,9,10,12,13],[3,5,6,7,9,11,13],[3,5,7,8,10,12,13],[4,5,6,8,10,11,14]]; G[6709]:=Group([(1,10)(3,11)(4,12)(7,9)]); # Design 6710: autom. group order 2, simple B[6710]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,7,8,12,14],[1,3,5,6,12,13,14],[1,3,7,8,9,11,13],[1,4,5,8,9,11,14],[1,4,6,9,12,13,14],[1,4,7,9,10,13,14],[1,5,7,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,9,10,11,14],[2,3,7,8,9,12,13],[2,4,5,7,11,12,14],[2,4,6,9,11,12,13],[2,4,7,8,10,13,14],[2,5,6,7,9,11,13],[2,5,8,9,10,12,14],[3,4,5,7,10,12,13],[3,4,6,7,8,11,14],[3,4,6,8,9,10,12],[3,5,6,7,9,10,14],[3,5,8,11,12,13,14],[4,5,6,8,10,11,13]]; G[6710]:=Group([(2,11)(3,10)(4,12)(5,7)(6,9)]); # Design 6711: autom. group order 2, simple B[6711]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,6,8,9,10,14],[1,3,5,6,7,11,14],[1,3,7,9,12,13,14],[1,4,5,8,10,13,14],[1,4,6,7,9,11,13],[1,4,7,8,12,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,9,12,13,14],[2,3,7,8,10,11,13],[2,4,5,9,11,12,14],[2,4,6,7,9,10,13],[2,4,7,8,11,12,14],[2,5,6,7,10,12,14],[2,5,7,8,9,11,13],[3,4,5,9,10,12,13],[3,4,6,7,8,10,12],[3,4,6,8,9,11,14],[3,5,6,8,11,12,13],[3,5,7,8,9,10,14],[4,5,6,10,11,13,14]]; G[6711]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 6712: autom. group order 2, simple, residual B[6712]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,6,8,9,10,14],[1,3,5,6,7,11,14],[1,3,7,8,10,13,14],[1,4,5,9,12,13,14],[1,4,6,7,9,11,13],[1,4,7,8,12,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,9,12,13,14],[2,3,7,9,11,12,13],[2,4,5,8,10,11,13],[2,4,6,7,9,10,13],[2,4,7,8,11,12,14],[2,5,6,7,10,12,14],[2,5,7,8,9,11,14],[3,4,5,9,10,12,14],[3,4,6,7,8,10,12],[3,4,6,8,9,11,14],[3,5,6,8,11,12,13],[3,5,7,8,9,10,13],[4,5,6,10,11,13,14]]; G[6712]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 6713: autom. group order 2, simple B[6713]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,8,9,11,14],[1,3,5,6,12,13,14],[1,3,7,8,9,11,13],[1,4,5,7,8,12,14],[1,4,6,9,12,13,14],[1,4,7,9,10,13,14],[1,5,7,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,7,10,12,14],[2,3,7,8,9,12,14],[2,4,5,7,11,12,13],[2,4,6,7,9,10,13],[2,4,8,11,12,13,14],[2,5,6,7,9,11,14],[2,5,8,9,10,12,13],[3,4,5,9,10,11,14],[3,4,6,7,8,11,13],[3,4,6,8,9,10,12],[3,5,6,9,11,12,13],[3,5,7,8,10,13,14],[4,5,6,8,10,11,14]]; G[6713]:=Group([(2,11)(3,10)(4,12)(5,7)(6,9)]); # Design 6714: autom. group order 2, simple, residual B[6714]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,10,13,14],[1,2,6,8,9,12,13],[1,3,5,6,8,12,14],[1,3,7,8,9,10,11],[1,4,5,7,11,13,14],[1,4,6,9,11,12,13],[1,4,7,9,10,12,14],[1,5,7,8,9,10,13],[1,6,7,8,11,12,14],[2,3,6,7,9,11,14],[2,3,7,8,12,13,14],[2,4,5,7,9,12,14],[2,4,6,7,8,10,13],[2,4,8,9,11,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,11,12],[3,4,5,8,11,12,13],[3,4,6,7,10,12,13],[3,4,6,8,9,10,14],[3,5,6,7,9,11,13],[3,5,9,10,12,13,14],[4,5,6,8,10,11,14]]; G[6714]:=Group([(1,10)(3,11)(4,12)(7,9)]); # Design 6715: autom. group order 2, simple B[6715]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,10,13,14],[1,2,6,8,9,12,13],[1,3,5,6,8,12,14],[1,3,7,8,9,10,11],[1,4,5,7,11,13,14],[1,4,6,9,11,12,13],[1,4,7,9,10,12,14],[1,5,7,8,11,12,13],[1,6,7,8,9,10,14],[2,3,6,7,9,11,14],[2,3,7,8,12,13,14],[2,4,5,7,9,12,14],[2,4,6,7,8,10,13],[2,4,8,9,11,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,11,12],[3,4,5,8,9,10,13],[3,4,6,7,10,12,13],[3,4,6,8,11,12,14],[3,5,6,7,9,11,13],[3,5,9,10,12,13,14],[4,5,6,8,10,11,14]]; G[6715]:=Group([(1,10)(3,11)(4,12)(7,9)]); # Design 6716: autom. group order 2, simple B[6716]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,10,13,14],[1,2,6,8,9,12,13],[1,3,5,6,8,12,14],[1,3,7,8,9,10,11],[1,4,5,7,8,11,13],[1,4,6,9,11,12,13],[1,4,7,9,10,12,14],[1,5,7,11,12,13,14],[1,6,7,8,9,10,14],[2,3,6,7,9,11,14],[2,3,7,8,12,13,14],[2,4,5,7,9,12,14],[2,4,6,7,8,10,13],[2,4,8,9,11,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,10,12,13],[3,4,6,8,11,12,14],[3,5,6,7,9,11,13],[3,5,8,9,10,12,13],[4,5,6,8,10,11,14]]; G[6716]:=Group([(1,10)(3,11)(4,12)(7,9)]); # Design 6717: autom. group order 2, simple, residual B[6717]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,8,9,11,14],[1,3,5,6,12,13,14],[1,3,7,8,9,11,13],[1,4,5,7,8,12,14],[1,4,6,9,12,13,14],[1,4,7,9,10,13,14],[1,5,7,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,7,10,12,14],[2,3,7,8,9,12,13],[2,4,5,7,11,12,13],[2,4,6,9,11,12,13],[2,4,7,8,10,13,14],[2,5,6,7,9,11,14],[2,5,8,9,10,12,14],[3,4,5,9,10,11,14],[3,4,6,7,8,11,14],[3,4,6,8,9,10,12],[3,5,6,7,9,10,13],[3,5,8,11,12,13,14],[4,5,6,8,10,11,13]]; G[6717]:=Group([(2,11)(3,10)(4,12)(5,7)(6,9)]); # Design 6718: autom. group order 2, simple B[6718]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,6,8,9,10,14],[1,3,5,6,7,11,14],[1,3,7,9,12,13,14],[1,4,5,8,10,13,14],[1,4,6,7,9,11,13],[1,4,7,8,12,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,7,8,9,12,14],[2,3,7,8,10,11,13],[2,4,5,9,11,12,14],[2,4,6,7,9,10,13],[2,4,6,11,12,13,14],[2,5,6,7,10,12,14],[2,5,7,8,9,11,13],[3,4,5,9,10,12,13],[3,4,6,7,8,10,12],[3,4,6,8,9,11,14],[3,5,6,8,11,12,13],[3,5,6,9,10,13,14],[4,5,7,8,10,11,14]]; G[6718]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 6719: autom. group order 2, simple B[6719]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,6,8,9,10,14],[1,3,5,6,7,11,14],[1,3,7,9,12,13,14],[1,4,5,8,10,13,14],[1,4,6,7,9,11,13],[1,4,7,8,12,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,7,8,9,12,14],[2,3,7,8,10,11,13],[2,4,5,9,11,12,14],[2,4,6,7,9,10,14],[2,4,6,11,12,13,14],[2,5,6,7,10,12,13],[2,5,7,8,9,11,13],[3,4,5,9,10,12,13],[3,4,6,7,8,10,12],[3,4,6,8,9,11,13],[3,5,6,8,11,12,14],[3,5,6,9,10,13,14],[4,5,7,8,10,11,14]]; G[6719]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 6720: autom. group order 2, simple B[6720]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,7,9,12,14],[1,3,5,7,12,13,14],[1,3,6,7,9,11,13],[1,4,5,6,8,11,14],[1,4,7,8,12,13,14],[1,4,8,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,9,12,14],[2,3,7,8,10,11,14],[2,4,5,9,11,12,13],[2,4,6,7,9,10,13],[2,4,6,11,12,13,14],[2,5,7,8,9,11,14],[2,5,7,8,10,12,13],[3,4,5,9,10,12,14],[3,4,6,7,8,10,12],[3,4,7,8,9,11,13],[3,5,6,8,11,12,13],[3,5,6,9,10,13,14],[4,5,6,7,10,11,14]]; G[6720]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 6721: autom. group order 2, simple B[6721]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,7,8,11,14],[1,3,5,7,12,13,14],[1,3,6,7,9,11,13],[1,4,5,6,9,12,14],[1,4,7,8,12,13,14],[1,4,8,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,9,10,12,14],[2,4,5,9,11,12,13],[2,4,6,7,9,10,14],[2,4,6,11,12,13,14],[2,5,7,8,9,11,14],[2,5,7,8,10,12,13],[3,4,5,8,10,11,14],[3,4,6,7,8,10,12],[3,4,7,8,9,11,13],[3,5,6,8,11,12,14],[3,5,6,9,10,13,14],[4,5,6,7,10,11,13]]; G[6721]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 6722: autom. group order 2, simple B[6722]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,7,8,11,14],[1,3,5,7,12,13,14],[1,3,6,7,9,11,13],[1,4,5,6,9,12,14],[1,4,7,8,12,13,14],[1,4,8,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,9,12,14],[2,3,7,9,10,12,14],[2,4,5,9,11,12,13],[2,4,6,7,9,10,13],[2,4,6,11,12,13,14],[2,5,7,8,9,11,14],[2,5,7,8,10,12,13],[3,4,5,8,10,11,14],[3,4,6,7,8,10,12],[3,4,7,8,9,11,13],[3,5,6,8,11,12,13],[3,5,6,9,10,13,14],[4,5,6,7,10,11,14]]; G[6722]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 6723: autom. group order 2, simple B[6723]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,13],[1,2,6,7,8,12,14],[1,3,5,9,12,13,14],[1,3,6,8,9,11,13],[1,4,5,6,9,11,14],[1,4,7,8,10,13,14],[1,4,7,9,12,13,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,6,8,12,13,14],[2,3,7,9,10,11,14],[2,4,5,8,11,12,13],[2,4,6,8,9,10,13],[2,4,7,9,11,12,13],[2,5,6,9,10,12,14],[2,5,7,8,9,11,14],[3,4,5,8,10,12,14],[3,4,6,7,8,11,14],[3,4,6,7,9,10,12],[3,5,6,7,11,12,13],[3,5,7,8,9,10,13],[4,5,6,10,11,13,14]]; G[6723]:=Group([(2,11)(3,10)(4,12)(5,8)(7,9)]); # Design 6724: autom. group order 2, simple, residual B[6724]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,13],[1,2,6,7,8,11,14],[1,3,5,8,12,13,14],[1,3,6,8,9,11,13],[1,4,5,6,9,12,14],[1,4,7,8,12,13,14],[1,4,7,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,6,9,12,13,14],[2,3,7,9,10,12,14],[2,4,5,9,11,12,13],[2,4,6,8,9,10,13],[2,4,7,8,11,12,13],[2,5,6,8,10,12,14],[2,5,7,8,9,11,14],[3,4,5,8,10,11,14],[3,4,6,7,8,10,12],[3,4,6,7,9,11,14],[3,5,6,7,11,12,13],[3,5,7,8,9,10,13],[4,5,6,10,11,13,14]]; G[6724]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 6725: autom. group order 2, simple B[6725]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,12,13],[1,2,6,7,8,10,11],[1,3,5,9,10,13,14],[1,3,6,8,9,12,13],[1,4,5,6,9,11,14],[1,4,7,8,10,12,14],[1,4,8,9,11,12,13],[1,5,7,11,12,13,14],[1,6,7,8,9,10,14],[2,3,6,8,12,13,14],[2,3,7,8,9,11,14],[2,4,5,8,10,13,14],[2,4,6,9,11,12,14],[2,4,7,9,10,12,13],[2,5,6,9,10,12,14],[2,5,7,8,9,11,13],[3,4,5,7,8,12,14],[3,4,6,7,9,10,13],[3,4,6,7,11,13,14],[3,5,6,8,10,11,12],[3,5,7,9,10,11,12],[4,5,6,8,10,11,13]]; G[6725]:=Group([(1,10)(2,11)(4,12)(7,8)]); # Design 6726: autom. group order 2, simple B[6726]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,6,7,8,10,11],[1,3,5,9,10,13,14],[1,3,6,7,9,12,13],[1,4,5,6,9,11,14],[1,4,7,8,10,12,14],[1,4,7,9,11,12,13],[1,5,8,11,12,13,14],[1,6,7,8,9,10,14],[2,3,6,7,12,13,14],[2,3,7,8,9,11,14],[2,4,5,7,10,13,14],[2,4,6,9,11,12,14],[2,4,8,9,10,12,13],[2,5,6,9,10,12,14],[2,5,7,8,9,11,13],[3,4,5,7,8,12,14],[3,4,6,8,9,10,13],[3,4,6,8,11,13,14],[3,5,6,8,10,11,12],[3,5,7,9,10,11,12],[4,5,6,7,10,11,13]]; G[6726]:=Group([(1,10)(2,11)(4,12)(7,8)]); # Design 6727: autom. group order 2, simple B[6727]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,13],[1,2,6,7,8,12,14],[1,3,5,9,12,13,14],[1,3,6,8,9,11,13],[1,4,5,6,9,11,14],[1,4,7,8,10,13,14],[1,4,7,9,12,13,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,12],[2,3,7,8,9,12,13],[2,3,7,9,10,11,14],[2,4,5,8,11,12,13],[2,4,6,8,9,10,13],[2,4,6,11,12,13,14],[2,5,6,9,10,12,14],[2,5,7,8,9,11,14],[3,4,5,8,10,12,14],[3,4,6,7,8,11,14],[3,4,6,7,9,10,12],[3,5,6,7,11,12,13],[3,5,6,8,10,13,14],[4,5,7,9,10,11,13]]; G[6727]:=Group([(2,11)(3,10)(4,12)(5,8)(7,9)]); # Design 6728: autom. group order 2, simple B[6728]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,13],[1,2,6,7,8,11,14],[1,3,5,8,12,13,14],[1,3,6,8,9,11,13],[1,4,5,6,9,12,14],[1,4,7,8,12,13,14],[1,4,7,9,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,12],[2,3,7,8,9,12,13],[2,3,7,9,10,12,14],[2,4,5,9,11,12,13],[2,4,6,8,9,10,13],[2,4,6,11,12,13,14],[2,5,6,8,10,12,14],[2,5,7,8,9,11,14],[3,4,5,8,10,11,14],[3,4,6,7,8,10,12],[3,4,6,7,9,11,14],[3,5,6,7,11,12,13],[3,5,6,9,10,13,14],[4,5,7,8,10,11,13]]; G[6728]:=Group([(2,11)(3,10)(4,12)(5,9)(7,8)]); # Design 6729: autom. group order 2, simple B[6729]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,13],[1,2,6,8,12,13,14],[1,3,5,7,9,13,14],[1,3,6,8,9,11,12],[1,4,5,6,11,12,14],[1,4,7,8,9,10,11],[1,4,7,8,11,13,14],[1,5,8,9,10,12,13],[1,6,7,9,10,12,14],[2,3,7,8,10,12,14],[2,3,7,9,11,12,13],[2,4,5,9,10,12,14],[2,4,6,8,9,10,13],[2,4,6,9,11,13,14],[2,5,6,7,8,11,12],[2,5,7,8,9,11,14],[3,4,5,8,12,13,14],[3,4,6,7,8,10,14],[3,4,6,7,9,12,13],[3,5,6,8,10,11,13],[3,5,6,9,10,11,14],[4,5,7,10,11,12,13]]; G[6729]:=Group([(1,5)(3,7)(4,6)(8,10)(9,13)]); # Design 6730: autom. group order 2, simple B[6730]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,13],[1,2,6,8,12,13,14],[1,3,5,7,9,13,14],[1,3,6,8,9,11,14],[1,4,5,6,11,12,14],[1,4,7,8,9,10,11],[1,4,7,8,11,12,13],[1,5,8,9,10,12,13],[1,6,7,9,10,12,14],[2,3,7,8,10,12,14],[2,3,7,9,11,12,13],[2,4,5,9,10,12,14],[2,4,6,8,9,10,13],[2,4,6,9,11,13,14],[2,5,6,7,8,11,12],[2,5,7,8,9,11,14],[3,4,5,8,12,13,14],[3,4,6,7,8,10,14],[3,4,6,7,9,12,13],[3,5,6,8,10,11,13],[3,5,6,9,10,11,12],[4,5,7,10,11,13,14]]; G[6730]:=Group([(1,5)(3,7)(4,6)(8,10)(9,13)]); # Design 6731: autom. group order 2, simple B[6731]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,13],[1,2,6,8,12,13,14],[1,3,5,7,9,13,14],[1,3,6,8,9,11,12],[1,4,5,6,11,12,14],[1,4,7,8,9,10,11],[1,4,7,8,12,13,14],[1,5,8,9,10,12,13],[1,6,7,9,10,11,14],[2,3,7,8,10,12,14],[2,3,7,9,11,12,13],[2,4,5,9,10,12,14],[2,4,6,8,9,10,13],[2,4,6,9,11,13,14],[2,5,6,7,8,11,12],[2,5,7,8,9,11,14],[3,4,5,8,11,13,14],[3,4,6,7,8,10,14],[3,4,6,7,9,12,13],[3,5,6,8,10,11,13],[3,5,6,9,10,12,14],[4,5,7,10,11,12,13]]; G[6731]:=Group([(1,5)(3,7)(4,6)(8,10)(9,13)]); # Design 6732: autom. group order 2, simple B[6732]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,13],[1,2,6,8,12,13,14],[1,3,5,7,9,13,14],[1,3,6,8,9,11,14],[1,4,5,6,11,12,14],[1,4,7,8,9,10,11],[1,4,7,8,12,13,14],[1,5,8,9,10,12,13],[1,6,7,9,10,11,12],[2,3,7,8,10,12,14],[2,3,7,9,11,12,13],[2,4,5,9,10,12,14],[2,4,6,8,9,10,13],[2,4,6,9,11,13,14],[2,5,6,7,8,11,12],[2,5,7,8,9,11,14],[3,4,5,8,11,12,13],[3,4,6,7,8,10,14],[3,4,6,7,9,12,13],[3,5,6,8,10,11,13],[3,5,6,9,10,12,14],[4,5,7,10,11,13,14]]; G[6732]:=Group([(1,5)(3,7)(4,6)(8,10)(9,13)]); # Design 6733: autom. group order 2, simple B[6733]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,13],[1,2,6,8,12,13,14],[1,3,5,7,9,13,14],[1,3,6,8,9,12,14],[1,4,5,6,11,12,14],[1,4,7,8,9,10,11],[1,4,7,8,11,12,13],[1,5,8,9,10,12,13],[1,6,7,9,10,11,14],[2,3,7,8,10,12,14],[2,3,7,9,11,12,13],[2,4,5,9,10,12,14],[2,4,6,8,9,10,13],[2,4,6,9,11,13,14],[2,5,6,7,8,11,12],[2,5,7,8,9,11,14],[3,4,5,8,11,13,14],[3,4,6,7,8,10,14],[3,4,6,7,9,12,13],[3,5,6,8,10,11,13],[3,5,6,9,10,11,12],[4,5,7,10,12,13,14]]; G[6733]:=Group([(1,5)(3,7)(4,6)(8,10)(9,13)]); # Design 6734: autom. group order 2, simple B[6734]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,13],[1,2,6,8,12,13,14],[1,3,5,7,11,12,14],[1,3,6,8,9,11,12],[1,4,5,6,9,13,14],[1,4,7,8,9,10,12],[1,4,7,8,11,13,14],[1,5,8,9,10,11,13],[1,6,7,9,10,12,14],[2,3,7,8,9,10,13],[2,3,7,9,12,13,14],[2,4,5,9,10,12,14],[2,4,6,8,10,11,14],[2,4,6,9,11,12,13],[2,5,6,7,8,11,12],[2,5,7,8,9,11,14],[3,4,5,8,12,13,14],[3,4,6,7,8,10,14],[3,4,6,7,9,11,13],[3,5,6,8,10,12,13],[3,5,6,9,10,11,14],[4,5,7,10,11,12,13]]; G[6734]:=Group([(1,5)(3,7)(4,6)(8,10)(9,13)]); # Design 6735: autom. group order 2, simple B[6735]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,13],[1,2,6,8,12,13,14],[1,3,5,7,11,12,14],[1,3,6,8,9,11,14],[1,4,5,6,9,13,14],[1,4,7,8,9,10,12],[1,4,7,8,11,12,13],[1,5,8,9,10,11,13],[1,6,7,9,10,12,14],[2,3,7,8,9,10,13],[2,3,7,9,12,13,14],[2,4,5,9,10,12,14],[2,4,6,8,10,11,14],[2,4,6,9,11,12,13],[2,5,6,7,8,11,12],[2,5,7,8,9,11,14],[3,4,5,8,12,13,14],[3,4,6,7,8,10,14],[3,4,6,7,9,11,13],[3,5,6,8,10,12,13],[3,5,6,9,10,11,12],[4,5,7,10,11,13,14]]; G[6735]:=Group([(1,5)(3,7)(4,6)(8,10)(9,13)]); # Design 6736: autom. group order 2, simple B[6736]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,13],[1,2,6,8,12,13,14],[1,3,5,7,11,12,14],[1,3,6,8,9,11,12],[1,4,5,6,9,13,14],[1,4,7,8,9,10,12],[1,4,7,8,12,13,14],[1,5,8,9,10,11,13],[1,6,7,9,10,11,14],[2,3,7,8,9,10,13],[2,3,7,9,12,13,14],[2,4,5,9,10,12,14],[2,4,6,8,10,11,14],[2,4,6,9,11,12,13],[2,5,6,7,8,11,12],[2,5,7,8,9,11,14],[3,4,5,8,11,13,14],[3,4,6,7,8,10,14],[3,4,6,7,9,11,13],[3,5,6,8,10,12,13],[3,5,6,9,10,12,14],[4,5,7,10,11,12,13]]; G[6736]:=Group([(1,5)(3,7)(4,6)(8,10)(9,13)]); # Design 6737: autom. group order 2, simple B[6737]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,13],[1,2,6,8,12,13,14],[1,3,5,7,11,12,14],[1,3,6,8,9,11,14],[1,4,5,6,9,13,14],[1,4,7,8,9,10,12],[1,4,7,8,12,13,14],[1,5,8,9,10,11,13],[1,6,7,9,10,11,12],[2,3,7,8,9,10,13],[2,3,7,9,12,13,14],[2,4,5,9,10,12,14],[2,4,6,8,10,11,14],[2,4,6,9,11,12,13],[2,5,6,7,8,11,12],[2,5,7,8,9,11,14],[3,4,5,8,11,12,13],[3,4,6,7,8,10,14],[3,4,6,7,9,11,13],[3,5,6,8,10,12,13],[3,5,6,9,10,12,14],[4,5,7,10,11,13,14]]; G[6737]:=Group([(1,5)(3,7)(4,6)(8,10)(9,13)]); # Design 6738: autom. group order 2, simple B[6738]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,13],[1,2,6,8,12,13,14],[1,3,5,7,11,12,14],[1,3,6,8,9,12,14],[1,4,5,6,9,13,14],[1,4,7,8,9,10,12],[1,4,7,8,11,12,13],[1,5,8,9,10,11,13],[1,6,7,9,10,11,14],[2,3,7,8,9,10,13],[2,3,7,9,12,13,14],[2,4,5,9,10,12,14],[2,4,6,8,10,11,14],[2,4,6,9,11,12,13],[2,5,6,7,8,11,12],[2,5,7,8,9,11,14],[3,4,5,8,11,13,14],[3,4,6,7,8,10,14],[3,4,6,7,9,11,13],[3,5,6,8,10,12,13],[3,5,6,9,10,11,12],[4,5,7,10,12,13,14]]; G[6738]:=Group([(1,5)(3,7)(4,6)(8,10)(9,13)]); # Design 6739: autom. group order 2, simple B[6739]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,13],[1,2,6,8,12,13,14],[1,3,5,7,11,12,14],[1,3,6,8,9,12,14],[1,4,5,6,9,13,14],[1,4,7,8,9,10,12],[1,4,7,8,11,13,14],[1,5,8,9,10,11,13],[1,6,7,9,10,11,12],[2,3,7,8,9,10,13],[2,3,7,9,12,13,14],[2,4,5,9,10,12,14],[2,4,6,8,10,11,14],[2,4,6,9,11,12,13],[2,5,6,7,8,11,12],[2,5,7,8,9,11,14],[3,4,5,8,11,12,13],[3,4,6,7,8,10,14],[3,4,6,7,9,11,13],[3,5,6,8,10,12,13],[3,5,6,9,10,11,14],[4,5,7,10,12,13,14]]; G[6739]:=Group([(1,5)(3,7)(4,6)(8,10)(9,13)]); # Design 6740: autom. group order 2, simple, residual B[6740]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,8,10,12,13],[1,3,5,8,9,11,13],[1,3,6,7,9,11,14],[1,4,5,9,10,12,14],[1,4,6,7,8,11,12],[1,4,6,8,10,13,14],[1,5,7,9,10,12,14],[1,7,8,9,11,12,13],[2,3,6,8,9,12,14],[2,3,7,9,10,12,13],[2,4,5,7,11,12,13],[2,4,6,9,11,12,14],[2,4,7,8,9,13,14],[2,5,6,8,9,10,11],[2,5,7,8,10,11,14],[3,4,5,8,12,13,14],[3,4,6,7,9,10,13],[3,4,7,8,10,11,14],[3,5,6,7,8,10,12],[3,5,6,11,12,13,14],[4,5,6,9,10,11,13]]; G[6740]:=Group([(1,10)(2,13)(3,6)(5,9)(8,11)(12,14)]); # Design 6741: autom. group order 2, simple B[6741]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,12,13],[1,2,6,8,10,13,14],[1,3,5,7,9,11,14],[1,3,6,9,12,13,14],[1,4,5,8,11,13,14],[1,4,6,7,8,12,14],[1,4,7,8,9,10,13],[1,5,6,9,10,11,12],[1,7,8,9,10,11,12],[2,3,6,7,8,10,11],[2,3,7,8,9,12,13],[2,4,5,9,10,12,14],[2,4,6,8,9,11,14],[2,4,6,9,11,12,13],[2,5,7,8,11,12,14],[2,5,7,9,10,13,14],[3,4,5,8,10,12,13],[3,4,6,7,9,10,14],[3,4,7,11,12,13,14],[3,5,6,8,9,11,13],[3,5,6,8,10,12,14],[4,5,6,7,10,11,13]]; G[6741]:=Group([(2,10)(3,11)(4,12)(5,9)(6,8)]); # Design 6742: autom. group order 2, simple, residual B[6742]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,12,13],[1,2,6,8,10,13,14],[1,3,5,9,11,13,14],[1,3,6,7,9,12,14],[1,4,5,7,8,11,14],[1,4,6,8,12,13,14],[1,4,7,8,9,10,13],[1,5,6,9,10,11,12],[1,7,8,9,10,11,12],[2,3,6,7,8,10,11],[2,3,7,8,9,12,13],[2,4,5,9,10,12,14],[2,4,6,8,9,11,14],[2,4,6,9,11,12,13],[2,5,7,8,11,12,14],[2,5,7,9,10,13,14],[3,4,5,8,10,12,13],[3,4,6,7,9,10,14],[3,4,7,11,12,13,14],[3,5,6,8,9,11,13],[3,5,6,8,10,12,14],[4,5,6,7,10,11,13]]; G[6742]:=Group([(2,10)(3,11)(4,12)(5,9)(6,8)]); # Design 6743: autom. group order 2, simple B[6743]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,12,13],[1,2,6,8,10,13,14],[1,3,5,9,11,13,14],[1,3,6,7,8,12,14],[1,4,5,7,9,10,14],[1,4,6,9,12,13,14],[1,4,7,8,9,11,13],[1,5,6,8,10,11,12],[1,7,8,9,10,11,12],[2,3,6,7,9,10,11],[2,3,7,8,9,12,13],[2,4,5,8,11,12,14],[2,4,6,8,9,10,13],[2,4,6,9,11,12,14],[2,5,7,8,11,13,14],[2,5,7,9,10,12,14],[3,4,5,8,10,12,13],[3,4,6,7,8,11,14],[3,4,7,10,12,13,14],[3,5,6,8,9,10,14],[3,5,6,9,11,12,13],[4,5,6,7,10,11,13]]; G[6743]:=Group([(2,11)(3,10)(4,12)(5,8)(6,9)]); # Design 6744: autom. group order 2, simple, residual B[6744]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,12,13],[1,2,6,8,10,13,14],[1,3,5,9,11,13,14],[1,3,6,7,8,12,14],[1,4,5,7,9,10,14],[1,4,6,9,12,13,14],[1,4,7,8,9,11,13],[1,5,6,8,10,11,12],[1,7,8,9,10,11,12],[2,3,6,7,9,10,11],[2,3,7,8,9,12,13],[2,4,5,8,11,12,14],[2,4,6,8,9,10,14],[2,4,6,9,11,12,13],[2,5,7,8,11,13,14],[2,5,7,9,10,12,14],[3,4,5,8,10,12,13],[3,4,6,7,8,11,14],[3,4,7,10,12,13,14],[3,5,6,8,9,10,13],[3,5,6,9,11,12,14],[4,5,6,7,10,11,13]]; G[6744]:=Group([(2,11)(3,10)(4,12)(5,8)(6,9)]); # Design 6745: autom. group order 2, simple B[6745]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,12,13],[1,2,6,8,10,13,14],[1,3,5,9,11,13,14],[1,3,6,7,8,12,14],[1,4,5,7,9,10,14],[1,4,6,9,12,13,14],[1,4,7,8,9,11,13],[1,5,6,8,10,11,12],[1,7,8,9,10,11,12],[2,3,6,7,9,10,11],[2,3,7,8,9,12,14],[2,4,5,8,11,12,14],[2,4,6,8,9,10,13],[2,4,6,9,11,12,14],[2,5,7,8,11,13,14],[2,5,7,9,10,12,13],[3,4,5,8,10,12,13],[3,4,6,7,8,11,13],[3,4,7,10,12,13,14],[3,5,6,8,9,10,14],[3,5,6,9,11,12,13],[4,5,6,7,10,11,14]]; G[6745]:=Group([(2,11)(3,10)(4,12)(5,8)(6,9)]); # Design 6746: autom. group order 2, simple, residual B[6746]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,12,13],[1,2,6,8,10,13,14],[1,3,5,7,9,11,14],[1,3,6,9,12,13,14],[1,4,5,8,11,13,14],[1,4,6,7,8,12,14],[1,4,7,8,9,10,13],[1,5,6,9,10,11,12],[1,7,8,9,10,11,12],[2,3,6,7,8,10,11],[2,3,7,8,9,12,13],[2,4,5,9,10,12,13],[2,4,6,9,11,12,14],[2,4,7,9,11,13,14],[2,5,6,8,9,10,14],[2,5,7,8,11,12,14],[3,4,5,8,10,12,14],[3,4,6,7,9,10,14],[3,4,6,8,11,12,13],[3,5,6,8,9,11,13],[3,5,7,10,12,13,14],[4,5,6,7,10,11,13]]; G[6746]:=Group([(2,10)(3,11)(4,12)(5,9)(6,8)]); # Design 6747: autom. group order 2, simple, residual B[6747]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,12,13],[1,2,6,8,10,13,14],[1,3,5,7,9,11,14],[1,3,6,9,12,13,14],[1,4,5,8,11,13,14],[1,4,6,7,8,12,14],[1,4,7,8,9,10,13],[1,5,6,9,10,11,12],[1,7,8,9,10,11,12],[2,3,6,7,8,10,11],[2,3,7,8,9,12,13],[2,4,5,9,10,12,14],[2,4,6,9,11,12,13],[2,4,7,9,11,13,14],[2,5,6,8,9,10,14],[2,5,7,8,11,12,14],[3,4,5,8,10,12,13],[3,4,6,7,9,10,14],[3,4,6,8,11,12,14],[3,5,6,8,9,11,13],[3,5,7,10,12,13,14],[4,5,6,7,10,11,13]]; G[6747]:=Group([(2,10)(3,11)(4,12)(5,9)(6,8)]); # Design 6748: autom. group order 2, simple B[6748]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,12,13],[1,2,6,8,10,13,14],[1,3,5,9,11,13,14],[1,3,6,7,9,12,14],[1,4,5,7,8,11,14],[1,4,6,8,12,13,14],[1,4,7,8,9,10,13],[1,5,6,9,10,11,12],[1,7,8,9,10,11,12],[2,3,6,7,8,10,11],[2,3,7,8,9,12,13],[2,4,5,9,10,12,13],[2,4,6,9,11,12,14],[2,4,7,9,11,13,14],[2,5,6,8,9,10,14],[2,5,7,8,11,12,14],[3,4,5,8,10,12,14],[3,4,6,7,9,10,14],[3,4,6,8,11,12,13],[3,5,6,8,9,11,13],[3,5,7,10,12,13,14],[4,5,6,7,10,11,13]]; G[6748]:=Group([(2,10)(3,11)(4,12)(5,9)(6,8)]); # Design 6749: autom. group order 2, simple, residual B[6749]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,12,13],[1,2,6,8,10,13,14],[1,3,5,9,11,13,14],[1,3,6,7,9,12,14],[1,4,5,7,8,11,14],[1,4,6,8,12,13,14],[1,4,7,8,9,10,13],[1,5,6,9,10,11,12],[1,7,8,9,10,11,12],[2,3,6,7,8,10,11],[2,3,7,8,9,12,13],[2,4,5,9,10,12,14],[2,4,6,9,11,12,13],[2,4,7,9,11,13,14],[2,5,6,8,9,10,14],[2,5,7,8,11,12,14],[3,4,5,8,10,12,13],[3,4,6,7,9,10,14],[3,4,6,8,11,12,14],[3,5,6,8,9,11,13],[3,5,7,10,12,13,14],[4,5,6,7,10,11,13]]; G[6749]:=Group([(2,10)(3,11)(4,12)(5,9)(6,8)]); # Design 6750: autom. group order 2, simple B[6750]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,12,13],[1,2,6,8,10,13,14],[1,3,5,9,11,13,14],[1,3,6,7,8,12,14],[1,4,5,7,9,10,14],[1,4,6,9,12,13,14],[1,4,7,8,9,11,13],[1,5,6,8,10,11,12],[1,7,8,9,10,11,12],[2,3,6,7,9,10,11],[2,3,7,8,9,12,13],[2,4,5,8,11,12,13],[2,4,6,9,11,12,14],[2,4,7,8,10,13,14],[2,5,6,8,9,11,14],[2,5,7,9,10,12,14],[3,4,5,8,10,12,14],[3,4,6,7,8,11,14],[3,4,6,9,10,12,13],[3,5,6,8,9,10,13],[3,5,7,11,12,13,14],[4,5,6,7,10,11,13]]; G[6750]:=Group([(2,11)(3,10)(4,12)(5,8)(6,9)]); # Design 6751: autom. group order 2, simple B[6751]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,12,13],[1,2,6,8,10,13,14],[1,3,5,9,11,13,14],[1,3,6,7,8,12,14],[1,4,5,7,9,10,14],[1,4,6,9,12,13,14],[1,4,7,8,9,11,13],[1,5,6,8,10,11,12],[1,7,8,9,10,11,12],[2,3,6,7,9,10,11],[2,3,7,8,9,12,13],[2,4,5,8,11,12,14],[2,4,6,9,11,12,14],[2,4,7,8,10,13,14],[2,5,6,8,9,11,13],[2,5,7,9,10,12,14],[3,4,5,8,10,12,13],[3,4,6,7,8,11,14],[3,4,6,9,10,12,13],[3,5,6,8,9,10,14],[3,5,7,11,12,13,14],[4,5,6,7,10,11,13]]; G[6751]:=Group([(2,11)(3,10)(4,12)(5,8)(6,9)]); # Design 6752: autom. group order 2, simple, residual B[6752]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,13],[1,2,6,8,9,12,13],[1,3,5,8,9,11,14],[1,3,6,7,8,12,14],[1,4,5,9,12,13,14],[1,4,6,7,8,10,14],[1,4,7,9,10,11,13],[1,5,6,11,12,13,14],[1,7,8,9,10,11,12],[2,3,6,9,10,12,14],[2,3,7,8,11,13,14],[2,4,5,7,11,12,14],[2,4,6,8,11,12,13],[2,4,7,8,9,13,14],[2,5,6,8,9,10,11],[2,5,7,9,10,12,14],[3,4,5,8,10,12,13],[3,4,6,7,9,11,12],[3,4,6,9,10,13,14],[3,5,6,7,9,11,13],[3,5,7,8,10,12,13],[4,5,6,8,10,11,14]]; G[6752]:=Group([(1,6)(2,14)(3,10)(5,8)(9,11)(12,13)]); # Design 6753: autom. group order 2, simple, residual B[6753]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,6,7,8,10,11],[1,3,5,9,10,13,14],[1,3,6,7,9,12,13],[1,4,5,7,11,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,12,14],[1,5,6,8,9,11,14],[1,7,8,9,11,12,13],[2,3,6,7,12,13,14],[2,3,7,8,9,11,14],[2,4,5,9,11,12,13],[2,4,6,9,11,12,14],[2,4,7,8,9,10,13],[2,5,6,7,9,10,14],[2,5,8,10,12,13,14],[3,4,5,7,8,12,14],[3,4,6,8,9,10,13],[3,4,6,8,11,13,14],[3,5,6,8,10,11,12],[3,5,7,9,10,11,12],[4,5,6,7,10,11,13]]; G[6753]:=Group([(1,10)(2,11)(4,12)(7,8)]); # Design 6754: autom. group order 2, simple, residual B[6754]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,6,7,8,10,11],[1,3,5,9,10,13,14],[1,3,6,7,9,12,13],[1,4,5,7,11,13,14],[1,4,6,9,11,12,14],[1,4,7,8,10,12,14],[1,5,6,8,9,10,14],[1,7,8,9,11,12,13],[2,3,6,8,12,13,14],[2,3,7,8,9,11,14],[2,4,5,9,11,12,13],[2,4,6,9,10,12,14],[2,4,7,8,9,10,13],[2,5,6,7,9,11,14],[2,5,7,10,12,13,14],[3,4,5,7,8,12,14],[3,4,6,7,9,10,13],[3,4,6,8,11,13,14],[3,5,6,7,10,11,12],[3,5,8,9,10,11,12],[4,5,6,8,10,11,13]]; G[6754]:=Group([(1,10)(2,11)(4,12)]); # Design 6755: autom. group order 2, simple B[6755]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,10,12,13],[1,2,6,7,8,11,12],[1,3,5,8,9,10,14],[1,3,6,9,11,13,14],[1,4,5,7,12,13,14],[1,4,6,8,9,12,14],[1,4,7,8,10,13,14],[1,5,6,7,9,11,13],[1,7,8,9,10,11,12],[2,3,7,8,9,12,13],[2,3,7,9,12,13,14],[2,4,5,8,9,11,13],[2,4,6,7,9,10,14],[2,4,6,8,11,13,14],[2,5,6,9,10,12,14],[2,5,7,8,10,11,14],[3,4,5,7,11,12,14],[3,4,6,7,9,10,11],[3,4,6,8,10,12,13],[3,5,6,7,8,10,13],[3,5,6,8,11,12,14],[4,5,9,10,11,12,13]]; G[6755]:=Group([(1,11)(2,9)(3,13)(4,5)(6,10)(7,12)]); # Design 6756: autom. group order 2, simple, residual B[6756]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,12,13,14],[1,2,6,7,8,10,11],[1,3,5,9,10,13,14],[1,3,6,7,9,12,13],[1,4,5,7,8,11,13],[1,4,6,8,10,12,14],[1,4,7,9,11,12,14],[1,5,7,8,9,10,14],[1,6,8,9,11,12,13],[2,3,6,8,9,11,14],[2,3,7,8,12,13,14],[2,4,5,9,11,12,13],[2,4,6,8,9,10,13],[2,4,7,9,10,12,14],[2,5,6,7,9,11,14],[2,5,7,8,10,12,13],[3,4,5,6,8,12,14],[3,4,6,7,9,10,13],[3,4,7,8,11,13,14],[3,5,6,7,10,11,12],[3,5,8,9,10,11,12],[4,5,6,10,11,13,14]]; G[6756]:=Group([(1,10)(2,11)(4,12)]); # Design 6757: autom. group order 2, simple B[6757]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,6,9,10,13,14],[1,3,5,7,8,11,14],[1,3,6,7,12,13,14],[1,4,5,9,11,13,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,13],[1,5,7,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,8,9,10,11],[2,3,7,8,9,12,13],[2,4,5,7,10,12,14],[2,4,6,7,8,11,14],[2,4,7,9,11,12,13],[2,5,6,9,11,12,14],[2,5,7,8,10,13,14],[3,4,5,6,10,12,13],[3,4,6,7,9,10,14],[3,4,8,11,12,13,14],[3,5,6,7,9,11,13],[3,5,8,9,10,12,14],[4,5,6,8,10,11,13]]; G[6757]:=Group([(2,10)(3,11)(4,12)(5,7)(6,9)]); # Design 6758: autom. group order 2, simple B[6758]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,6,9,10,13,14],[1,3,5,7,8,11,14],[1,3,6,7,12,13,14],[1,4,5,9,11,13,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,13],[1,5,7,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,8,9,10,11],[2,3,7,8,9,12,14],[2,4,5,7,10,12,14],[2,4,6,7,8,11,13],[2,4,7,9,11,12,13],[2,5,6,9,11,12,14],[2,5,7,8,10,13,14],[3,4,5,6,10,12,13],[3,4,6,7,9,10,14],[3,4,8,11,12,13,14],[3,5,6,7,9,11,13],[3,5,8,9,10,12,13],[4,5,6,8,10,11,14]]; G[6758]:=Group([(2,10)(3,11)(4,12)(5,7)(6,9)]); # Design 6759: autom. group order 2, simple B[6759]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,12,13],[1,2,6,8,10,11,14],[1,3,5,8,12,13,14],[1,3,6,7,9,10,13],[1,4,5,8,9,10,14],[1,4,6,7,8,11,12],[1,4,7,9,11,12,14],[1,5,7,9,11,13,14],[1,6,8,9,10,12,13],[2,3,7,8,9,11,13],[2,3,7,8,9,12,14],[2,4,5,9,10,12,13],[2,4,6,8,9,11,13],[2,4,7,10,12,13,14],[2,5,6,7,8,10,14],[2,5,6,9,11,12,14],[3,4,5,6,11,13,14],[3,4,6,7,9,10,14],[3,4,6,8,12,13,14],[3,5,6,9,10,11,12],[3,5,7,8,10,11,12],[4,5,7,8,10,11,13]]; G[6759]:=Group([(1,11)(2,10)(4,12)(6,8)]); # Design 6760: autom. group order 2, simple B[6760]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,6,7,9,10,14],[1,3,5,7,12,13,14],[1,3,6,9,11,12,14],[1,4,5,7,8,11,14],[1,4,6,8,9,11,13],[1,4,8,9,10,12,14],[1,5,7,9,10,12,13],[1,6,7,8,10,11,13],[2,3,7,8,9,10,13],[2,3,7,8,9,11,12],[2,4,5,10,11,13,14],[2,4,6,9,12,13,14],[2,4,7,8,12,13,14],[2,5,6,7,9,11,14],[2,5,6,8,10,11,12],[3,4,5,6,9,10,13],[3,4,6,7,8,10,14],[3,4,6,7,11,12,13],[3,5,6,8,10,12,14],[3,5,8,9,11,13,14],[4,5,7,9,10,11,12]]; G[6760]:=Group([(1,13)(3,14)(5,12)(6,8)]); # Design 6761: autom. group order 2, simple B[6761]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,6,7,9,10,14],[1,3,5,9,12,13,14],[1,3,6,7,11,12,14],[1,4,5,7,8,10,14],[1,4,6,7,8,11,13],[1,4,8,9,11,12,14],[1,5,7,9,10,12,13],[1,6,8,9,10,11,13],[2,3,7,8,9,10,13],[2,3,7,8,9,11,12],[2,4,5,10,11,13,14],[2,4,6,9,12,13,14],[2,4,7,8,12,13,14],[2,5,6,7,9,11,14],[2,5,6,8,10,11,12],[3,4,5,6,9,11,13],[3,4,6,7,10,12,13],[3,4,6,8,9,10,14],[3,5,6,8,10,12,14],[3,5,7,8,11,13,14],[4,5,7,9,10,11,12]]; G[6761]:=Group([(1,13)(3,14)(5,12)(6,8)]); # Design 6762: autom. group order 2, simple B[6762]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,6,7,9,10,14],[1,3,5,9,12,13,14],[1,3,6,7,11,12,14],[1,4,5,8,9,11,14],[1,4,6,7,8,11,13],[1,4,7,8,10,12,14],[1,5,7,9,10,12,13],[1,6,8,9,10,11,13],[2,3,7,8,9,10,13],[2,3,7,8,9,11,12],[2,4,5,10,11,13,14],[2,4,6,9,12,13,14],[2,4,7,8,12,13,14],[2,5,6,7,9,11,14],[2,5,6,8,10,11,12],[3,4,5,6,7,10,13],[3,4,6,8,9,10,14],[3,4,6,9,11,12,13],[3,5,6,8,10,12,14],[3,5,7,8,11,13,14],[4,5,7,9,10,11,12]]; G[6762]:=Group([(1,13)(3,14)(5,12)(6,8)]); # Design 6763: autom. group order 2, simple B[6763]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,6,9,10,11,13],[1,3,5,9,12,13,14],[1,3,6,7,8,10,14],[1,4,5,7,9,10,14],[1,4,6,7,9,11,12],[1,4,7,8,11,12,13],[1,5,7,8,11,13,14],[1,6,8,9,10,12,14],[2,3,7,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,8,10,12,14],[2,4,6,8,9,11,14],[2,4,7,10,12,13,14],[2,5,6,7,9,10,13],[2,5,6,7,11,12,14],[3,4,5,6,11,13,14],[3,4,6,7,8,10,13],[3,4,6,9,12,13,14],[3,5,6,8,10,11,12],[3,5,7,9,10,11,12],[4,5,8,9,10,11,13]]; G[6763]:=Group([(1,11)(2,10)(4,12)(6,9)]); # Design 6764: autom. group order 2, simple B[6764]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,6,9,10,11,14],[1,3,5,9,12,13,14],[1,3,6,7,8,10,13],[1,4,5,7,9,10,14],[1,4,6,8,9,11,12],[1,4,7,8,11,12,14],[1,5,7,8,11,13,14],[1,6,7,9,10,12,13],[2,3,7,8,9,11,13],[2,3,7,8,9,12,14],[2,4,5,7,10,12,13],[2,4,6,7,9,11,13],[2,4,8,10,12,13,14],[2,5,6,7,11,12,14],[2,5,6,8,9,10,14],[3,4,5,6,11,13,14],[3,4,6,7,8,10,14],[3,4,6,9,12,13,14],[3,5,6,8,10,11,12],[3,5,7,9,10,11,12],[4,5,8,9,10,11,13]]; G[6764]:=Group([(1,11)(2,10)(4,12)(6,9)]); # Design 6765: autom. group order 2, simple B[6765]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,6,7,10,13,14],[1,3,5,9,11,13,14],[1,3,7,8,9,12,14],[1,4,5,6,8,10,14],[1,4,6,9,12,13,14],[1,4,7,8,9,11,13],[1,5,7,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,7,9,12,13],[2,3,6,8,9,10,11],[2,4,5,7,11,12,14],[2,4,6,9,11,12,14],[2,4,7,8,9,10,13],[2,5,7,8,11,13,14],[2,5,8,9,10,12,14],[3,4,5,7,10,12,13],[3,4,6,7,8,11,14],[3,4,8,10,12,13,14],[3,5,6,7,9,10,14],[3,5,6,8,11,12,13],[4,5,6,9,10,11,13]]; G[6765]:=Group([(2,11)(3,10)(4,12)(5,7)(6,9)]); # Design 6766: autom. group order 2, simple, residual B[6766]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,6,7,10,13,14],[1,3,5,9,11,13,14],[1,3,7,8,9,12,14],[1,4,5,6,8,10,14],[1,4,6,9,12,13,14],[1,4,7,8,9,11,13],[1,5,7,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,7,9,12,14],[2,3,6,8,9,10,11],[2,4,5,7,11,12,14],[2,4,6,9,11,12,13],[2,4,7,8,9,10,13],[2,5,7,8,11,13,14],[2,5,8,9,10,12,14],[3,4,5,7,10,12,13],[3,4,6,7,8,11,14],[3,4,8,10,12,13,14],[3,5,6,7,9,10,13],[3,5,6,8,11,12,13],[4,5,6,9,10,11,14]]; G[6766]:=Group([(2,11)(3,10)(4,12)(5,7)(6,9)]); # Design 6767: autom. group order 2, simple, residual B[6767]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,10,12,14],[1,3,5,7,9,11,14],[1,3,7,8,11,12,13],[1,4,5,6,7,13,14],[1,4,6,9,11,12,14],[1,4,7,8,10,12,13],[1,5,8,9,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,6,7,12,13,14],[2,4,5,9,11,12,13],[2,4,6,8,11,13,14],[2,4,7,8,9,10,14],[2,5,7,8,11,12,14],[2,5,7,9,10,11,13],[3,4,5,8,10,12,14],[3,4,6,8,9,11,13],[3,4,7,9,10,13,14],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13],[4,5,6,7,10,11,12]]; G[6767]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6768: autom. group order 2, simple, residual B[6768]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,10,12,14],[1,3,5,7,9,11,14],[1,3,7,8,11,12,13],[1,4,5,6,7,13,14],[1,4,6,9,11,12,13],[1,4,7,8,10,12,14],[1,5,8,9,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,6,7,12,13,14],[2,4,5,9,11,12,14],[2,4,6,8,11,13,14],[2,4,7,8,9,11,13],[2,5,7,8,10,11,14],[2,5,7,9,10,12,13],[3,4,5,8,10,12,13],[3,4,6,8,9,10,14],[3,4,7,9,10,13,14],[3,5,6,8,11,12,14],[3,5,6,9,10,11,13],[4,5,6,7,10,11,12]]; G[6768]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6769: autom. group order 2, simple, residual B[6769]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,11,12,14],[1,3,5,7,9,11,14],[1,3,7,8,10,12,13],[1,4,5,6,7,13,14],[1,4,6,9,10,12,13],[1,4,7,8,11,12,14],[1,5,8,9,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,6,7,12,13,14],[2,4,5,9,10,12,14],[2,4,6,8,11,13,14],[2,4,7,8,9,11,13],[2,5,7,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,8,11,12,13],[3,4,6,8,9,10,14],[3,4,7,9,10,13,14],[3,5,6,8,10,11,14],[3,5,6,9,11,12,13],[4,5,6,7,10,11,12]]; G[6769]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6770: autom. group order 2, simple, residual B[6770]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,10,12,14],[1,3,5,7,9,11,14],[1,3,7,8,11,12,13],[1,4,5,6,7,13,14],[1,4,6,9,11,12,14],[1,4,7,8,10,12,13],[1,5,8,9,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,6,7,12,13,14],[2,4,5,8,11,12,14],[2,4,6,8,9,11,13],[2,4,7,9,10,13,14],[2,5,7,8,10,11,14],[2,5,7,9,11,12,13],[3,4,5,9,10,12,13],[3,4,6,8,11,13,14],[3,4,7,8,9,10,14],[3,5,6,8,10,12,14],[3,5,6,9,10,11,13],[4,5,6,7,10,11,12]]; G[6770]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6771: autom. group order 2, simple, residual B[6771]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,10,12,14],[1,3,5,7,9,11,14],[1,3,7,8,11,12,13],[1,4,5,6,7,13,14],[1,4,6,9,11,12,13],[1,4,7,8,10,12,14],[1,5,8,9,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,6,7,12,13,14],[2,4,5,8,11,12,13],[2,4,6,8,9,11,14],[2,4,7,9,11,13,14],[2,5,7,8,10,11,14],[2,5,7,9,10,12,13],[3,4,5,9,10,12,14],[3,4,6,8,10,13,14],[3,4,7,8,9,10,13],[3,5,6,8,11,12,14],[3,5,6,9,10,11,13],[4,5,6,7,10,11,12]]; G[6771]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6772: autom. group order 2, simple, residual B[6772]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,10,12,14],[1,3,5,7,9,11,14],[1,3,7,8,11,12,13],[1,4,5,6,7,13,14],[1,4,6,8,11,12,14],[1,4,7,9,10,12,13],[1,5,8,9,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,6,7,12,13,14],[2,4,5,9,11,12,14],[2,4,6,8,9,11,13],[2,4,7,8,11,13,14],[2,5,7,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,8,10,12,13],[3,4,6,9,10,13,14],[3,4,7,8,9,10,14],[3,5,6,8,10,11,14],[3,5,6,9,11,12,13],[4,5,6,7,10,11,12]]; G[6772]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6773: autom. group order 2, simple, residual B[6773]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,11,12,14],[1,3,5,7,9,11,14],[1,3,7,8,10,12,13],[1,4,5,6,7,13,14],[1,4,6,8,11,12,13],[1,4,7,9,10,12,14],[1,5,8,9,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,6,7,12,13,14],[2,4,5,9,11,12,13],[2,4,6,8,9,10,14],[2,4,7,8,11,13,14],[2,5,7,8,10,11,14],[2,5,7,9,10,12,13],[3,4,5,8,10,12,14],[3,4,6,9,10,13,14],[3,4,7,8,9,11,13],[3,5,6,8,11,12,14],[3,5,6,9,10,11,13],[4,5,6,7,10,11,12]]; G[6773]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6774: autom. group order 2, simple, residual B[6774]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,10,12,14],[1,3,5,7,9,11,14],[1,3,7,8,11,12,13],[1,4,5,6,7,13,14],[1,4,6,8,11,12,14],[1,4,7,9,10,12,13],[1,5,8,9,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,6,7,12,13,14],[2,4,5,8,11,12,13],[2,4,6,9,11,13,14],[2,4,7,8,9,11,14],[2,5,7,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,9,10,12,14],[3,4,6,8,9,10,13],[3,4,7,8,10,13,14],[3,5,6,8,10,11,14],[3,5,6,9,11,12,13],[4,5,6,7,10,11,12]]; G[6774]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6775: autom. group order 2, simple, residual B[6775]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,11,12,14],[1,3,5,7,9,11,14],[1,3,7,8,10,12,13],[1,4,5,6,7,13,14],[1,4,6,8,11,12,14],[1,4,7,9,10,12,13],[1,5,8,9,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,6,7,12,13,14],[2,4,5,8,11,12,13],[2,4,6,9,10,13,14],[2,4,7,8,9,10,14],[2,5,7,8,10,11,14],[2,5,7,9,11,12,13],[3,4,5,9,10,12,14],[3,4,6,8,9,11,13],[3,4,7,8,11,13,14],[3,5,6,8,10,12,14],[3,5,6,9,10,11,13],[4,5,6,7,10,11,12]]; G[6775]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6776: autom. group order 2, simple, residual B[6776]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,6,9,10,13,14],[1,3,5,7,11,13,14],[1,3,7,8,9,12,14],[1,4,5,6,8,11,14],[1,4,6,9,12,13,14],[1,4,7,8,9,10,13],[1,5,7,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,7,9,12,14],[2,3,6,8,9,10,11],[2,4,5,7,10,12,14],[2,4,6,7,11,12,13],[2,4,7,8,9,11,13],[2,5,7,8,10,13,14],[2,5,8,9,11,12,14],[3,4,5,9,10,12,13],[3,4,6,7,8,10,14],[3,4,8,11,12,13,14],[3,5,6,7,9,11,13],[3,5,6,8,10,12,13],[4,5,6,9,10,11,14]]; G[6776]:=Group([(2,10)(3,11)(4,12)(5,7)(6,9)]); # Design 6777: autom. group order 2, simple B[6777]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,6,9,10,13,14],[1,3,5,7,8,11,14],[1,3,7,9,12,13,14],[1,4,5,6,11,13,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,13],[1,5,7,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,7,9,12,14],[2,3,6,8,9,10,11],[2,4,5,7,10,12,14],[2,4,6,7,11,12,13],[2,4,7,8,9,11,13],[2,5,7,8,10,13,14],[2,5,8,9,11,12,14],[3,4,5,9,10,12,13],[3,4,6,7,8,10,14],[3,4,8,11,12,13,14],[3,5,6,7,9,11,13],[3,5,6,8,10,12,13],[4,5,6,9,10,11,14]]; G[6777]:=Group([(2,10)(3,11)(4,12)(5,7)(6,9)]); # Design 6778: autom. group order 2, simple, residual B[6778]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,6,7,10,12,14],[1,3,5,7,9,10,13],[1,3,8,9,12,13,14],[1,4,5,6,11,13,14],[1,4,6,8,9,10,12],[1,4,7,8,10,11,14],[1,5,7,8,9,11,14],[1,6,7,9,11,12,13],[2,3,6,7,8,11,13],[2,3,6,8,9,11,14],[2,4,5,9,11,12,14],[2,4,7,8,9,10,13],[2,4,7,9,11,12,13],[2,5,6,7,9,10,14],[2,5,8,10,12,13,14],[3,4,5,7,12,13,14],[3,4,6,7,8,12,14],[3,4,6,9,10,13,14],[3,5,6,9,10,11,12],[3,5,7,8,10,11,12],[4,5,6,8,10,11,13]]; G[6778]:=Group([(1,10)(2,11)(4,12)(6,8)]); # Design 6779: autom. group order 2, simple, residual B[6779]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,6,7,10,13,14],[1,3,5,9,11,13,14],[1,3,7,8,9,12,14],[1,4,5,6,8,10,14],[1,4,6,9,12,13,14],[1,4,7,8,9,11,13],[1,5,7,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,7,9,12,13],[2,3,6,8,9,10,11],[2,4,5,7,11,12,14],[2,4,7,8,9,10,13],[2,4,8,11,12,13,14],[2,5,6,7,9,11,14],[2,5,8,9,10,12,14],[3,4,5,7,10,12,13],[3,4,6,7,8,11,14],[3,4,6,9,10,12,14],[3,5,6,8,11,12,13],[3,5,7,8,10,13,14],[4,5,6,9,10,11,13]]; G[6779]:=Group([(2,11)(3,10)(4,12)(5,7)(6,9)]); # Design 6780: autom. group order 2, simple B[6780]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,6,7,10,13,14],[1,3,5,9,11,13,14],[1,3,7,8,9,12,14],[1,4,5,6,8,10,14],[1,4,6,9,12,13,14],[1,4,7,8,9,11,13],[1,5,7,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,7,9,12,14],[2,3,6,8,9,10,11],[2,4,5,7,11,12,14],[2,4,7,8,9,10,13],[2,4,8,11,12,13,14],[2,5,6,7,9,11,13],[2,5,8,9,10,12,14],[3,4,5,7,10,12,13],[3,4,6,7,8,11,14],[3,4,6,9,10,12,13],[3,5,6,8,11,12,13],[3,5,7,8,10,13,14],[4,5,6,9,10,11,14]]; G[6780]:=Group([(2,11)(3,10)(4,12)(5,7)(6,9)]); # Design 6781: autom. group order 2, simple B[6781]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,6,7,10,13,14],[1,3,5,9,11,13,14],[1,3,7,8,9,12,14],[1,4,5,6,8,10,14],[1,4,6,9,12,13,14],[1,4,7,8,9,11,13],[1,5,7,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,7,9,12,14],[2,3,6,8,9,10,11],[2,4,5,7,11,12,14],[2,4,7,8,9,10,14],[2,4,8,11,12,13,14],[2,5,6,7,9,11,13],[2,5,8,9,10,12,13],[3,4,5,7,10,12,13],[3,4,6,7,8,11,13],[3,4,6,9,10,12,13],[3,5,6,8,11,12,14],[3,5,7,8,10,13,14],[4,5,6,9,10,11,14]]; G[6781]:=Group([(2,11)(3,10)(4,12)(5,7)(6,9)]); # Design 6782: autom. group order 2, simple, residual B[6782]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,10,12,14],[1,3,5,7,9,11,14],[1,3,7,8,11,12,13],[1,4,5,6,7,13,14],[1,4,6,9,11,12,13],[1,4,7,8,10,12,14],[1,5,8,9,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,6,7,12,13,14],[2,4,5,9,11,12,13],[2,4,7,8,9,11,14],[2,4,7,9,10,13,14],[2,5,6,8,11,12,14],[2,5,7,8,10,11,13],[3,4,5,8,10,12,14],[3,4,6,8,9,10,13],[3,4,6,8,11,13,14],[3,5,6,9,10,11,14],[3,5,7,9,10,12,13],[4,5,6,7,10,11,12]]; G[6782]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6783: autom. group order 2, simple, residual B[6783]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,11,12,13],[1,3,5,7,9,11,14],[1,3,7,8,10,12,14],[1,4,5,6,7,13,14],[1,4,6,9,10,12,14],[1,4,7,8,11,12,13],[1,5,8,9,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,6,7,12,13,14],[2,4,5,9,10,12,14],[2,4,7,8,9,10,13],[2,4,7,9,11,13,14],[2,5,6,8,11,12,14],[2,5,7,8,10,11,14],[3,4,5,8,11,12,13],[3,4,6,8,9,11,14],[3,4,6,8,10,13,14],[3,5,6,9,10,11,13],[3,5,7,9,10,12,13],[4,5,6,7,10,11,12]]; G[6783]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6784: autom. group order 2, simple, residual B[6784]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,11,12,14],[1,3,5,7,9,11,14],[1,3,7,8,10,12,13],[1,4,5,6,7,13,14],[1,4,6,9,10,12,13],[1,4,7,8,11,12,14],[1,5,8,9,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,6,7,12,13,14],[2,4,5,9,11,12,13],[2,4,7,8,9,10,14],[2,4,7,9,10,13,14],[2,5,6,8,10,11,14],[2,5,7,8,11,12,13],[3,4,5,8,10,12,14],[3,4,6,8,9,11,13],[3,4,6,8,11,13,14],[3,5,6,9,10,12,14],[3,5,7,9,10,11,13],[4,5,6,7,10,11,12]]; G[6784]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6785: autom. group order 2, simple, residual B[6785]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,10,12,14],[1,3,5,7,9,11,14],[1,3,7,8,11,12,13],[1,4,5,6,7,13,14],[1,4,6,9,11,12,13],[1,4,7,8,10,12,14],[1,5,8,9,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,6,7,12,13,14],[2,4,5,9,11,12,13],[2,4,7,8,9,10,13],[2,4,7,8,11,13,14],[2,5,6,8,11,12,14],[2,5,7,9,10,11,14],[3,4,5,8,10,12,14],[3,4,6,8,9,11,14],[3,4,6,9,10,13,14],[3,5,6,8,10,11,13],[3,5,7,9,10,12,13],[4,5,6,7,10,11,12]]; G[6785]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6786: autom. group order 2, simple, residual B[6786]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,11,12,13],[1,3,5,7,9,11,14],[1,3,7,8,10,12,14],[1,4,5,6,7,13,14],[1,4,6,9,10,12,14],[1,4,7,8,11,12,13],[1,5,8,9,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,6,7,12,13,14],[2,4,5,9,10,12,14],[2,4,7,8,9,11,14],[2,4,7,8,10,13,14],[2,5,6,8,11,12,14],[2,5,7,9,10,11,13],[3,4,5,8,11,12,13],[3,4,6,8,9,10,13],[3,4,6,9,11,13,14],[3,5,6,8,10,11,14],[3,5,7,9,10,12,13],[4,5,6,7,10,11,12]]; G[6786]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6787: autom. group order 2, simple, residual B[6787]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,11,12,14],[1,3,5,7,9,11,14],[1,3,7,8,10,12,13],[1,4,5,6,7,13,14],[1,4,6,9,11,12,13],[1,4,7,8,10,12,14],[1,5,8,9,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,6,7,12,13,14],[2,4,5,9,10,12,13],[2,4,7,8,9,11,13],[2,4,7,8,11,13,14],[2,5,6,8,10,11,14],[2,5,7,9,10,12,14],[3,4,5,8,11,12,14],[3,4,6,8,9,10,14],[3,4,6,9,10,13,14],[3,5,6,8,11,12,13],[3,5,7,9,10,11,13],[4,5,6,7,10,11,12]]; G[6787]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6788: autom. group order 2, simple, residual B[6788]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,10,12,14],[1,3,5,7,9,11,14],[1,3,7,8,11,12,13],[1,4,5,6,7,13,14],[1,4,6,8,11,12,14],[1,4,7,9,10,12,13],[1,5,8,9,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,6,7,12,13,14],[2,4,5,8,11,12,14],[2,4,7,8,9,10,14],[2,4,7,9,11,13,14],[2,5,6,9,11,12,13],[2,5,7,8,10,11,13],[3,4,5,9,10,12,13],[3,4,6,8,9,11,13],[3,4,6,8,10,13,14],[3,5,6,9,10,11,14],[3,5,7,8,10,12,14],[4,5,6,7,10,11,12]]; G[6788]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6789: autom. group order 2, simple, residual B[6789]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,11,12,14],[1,3,5,7,9,11,14],[1,3,7,8,10,12,13],[1,4,5,6,7,13,14],[1,4,6,8,10,12,14],[1,4,7,9,11,12,13],[1,5,8,9,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,6,7,12,13,14],[2,4,5,8,11,12,14],[2,4,7,8,9,10,14],[2,4,7,9,10,13,14],[2,5,6,9,10,11,13],[2,5,7,8,11,12,13],[3,4,5,9,10,12,13],[3,4,6,8,9,11,13],[3,4,6,8,11,13,14],[3,5,6,9,10,12,14],[3,5,7,8,10,11,14],[4,5,6,7,10,11,12]]; G[6789]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6790: autom. group order 2, simple, residual B[6790]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,11,12,13],[1,3,5,7,9,11,14],[1,3,7,8,10,12,14],[1,4,5,6,7,13,14],[1,4,6,8,11,12,14],[1,4,7,9,10,12,13],[1,5,8,9,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,6,7,12,13,14],[2,4,5,8,11,12,14],[2,4,7,8,9,10,14],[2,4,7,9,11,13,14],[2,5,6,9,10,12,14],[2,5,7,8,10,11,13],[3,4,5,9,10,12,13],[3,4,6,8,9,11,13],[3,4,6,8,10,13,14],[3,5,6,9,10,11,14],[3,5,7,8,11,12,13],[4,5,6,7,10,11,12]]; G[6790]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6791: autom. group order 2, simple, residual B[6791]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,10,12,14],[1,3,5,7,9,11,14],[1,3,7,8,11,12,13],[1,4,5,6,7,13,14],[1,4,6,8,11,12,14],[1,4,7,9,10,12,13],[1,5,8,9,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,6,7,12,13,14],[2,4,5,8,11,12,14],[2,4,7,8,9,11,13],[2,4,7,8,10,13,14],[2,5,6,9,11,12,13],[2,5,7,9,10,11,14],[3,4,5,9,10,12,13],[3,4,6,8,9,10,14],[3,4,6,9,11,13,14],[3,5,6,8,10,11,13],[3,5,7,8,10,12,14],[4,5,6,7,10,11,12]]; G[6791]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6792: autom. group order 2, simple, residual B[6792]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,11,12,14],[1,3,5,7,9,11,14],[1,3,7,8,10,12,13],[1,4,5,6,7,13,14],[1,4,6,8,11,12,14],[1,4,7,9,10,12,13],[1,5,8,9,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,6,7,12,13,14],[2,4,5,8,10,12,14],[2,4,7,8,9,11,13],[2,4,7,8,11,13,14],[2,5,6,9,10,11,13],[2,5,7,9,10,12,14],[3,4,5,9,11,12,13],[3,4,6,8,9,10,14],[3,4,6,9,10,13,14],[3,5,6,8,11,12,13],[3,5,7,8,10,11,14],[4,5,6,7,10,11,12]]; G[6792]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6793: autom. group order 2, simple, residual B[6793]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,11,12,13],[1,3,5,7,9,11,14],[1,3,7,8,10,12,14],[1,4,5,6,7,13,14],[1,4,6,8,11,12,14],[1,4,7,9,10,12,13],[1,5,8,9,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,6,7,12,13,14],[2,4,5,8,11,12,14],[2,4,7,8,9,11,13],[2,4,7,8,10,13,14],[2,5,6,9,10,12,14],[2,5,7,9,10,11,14],[3,4,5,9,10,12,13],[3,4,6,8,9,10,14],[3,4,6,9,11,13,14],[3,5,6,8,10,11,13],[3,5,7,8,11,12,13],[4,5,6,7,10,11,12]]; G[6793]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6794: autom. group order 2, simple, residual B[6794]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,8,11,12,14],[1,3,5,7,9,11,14],[1,3,7,9,10,12,13],[1,4,5,6,7,13,14],[1,4,6,9,10,12,14],[1,4,7,8,11,12,13],[1,5,8,9,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,6,7,12,13,14],[2,4,5,9,10,12,14],[2,4,7,8,9,10,13],[2,4,7,9,11,13,14],[2,5,6,9,11,12,13],[2,5,7,8,10,11,14],[3,4,5,8,11,12,13],[3,4,6,8,9,11,14],[3,4,6,8,10,13,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,14],[4,5,6,7,10,11,12]]; G[6794]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6795: autom. group order 2, simple, residual B[6795]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,8,11,12,14],[1,3,5,7,9,11,14],[1,3,7,9,10,12,13],[1,4,5,6,7,13,14],[1,4,6,9,11,12,13],[1,4,7,8,10,12,14],[1,5,8,9,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,6,7,12,13,14],[2,4,5,9,11,12,13],[2,4,7,8,9,11,14],[2,4,7,9,10,13,14],[2,5,6,9,10,12,14],[2,5,7,8,10,11,13],[3,4,5,8,10,12,14],[3,4,6,8,9,10,13],[3,4,6,8,11,13,14],[3,5,6,9,10,11,14],[3,5,7,8,11,12,13],[4,5,6,7,10,11,12]]; G[6795]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6796: autom. group order 2, simple, residual B[6796]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,8,11,12,14],[1,3,5,7,9,11,14],[1,3,7,9,10,12,13],[1,4,5,6,7,13,14],[1,4,6,9,10,12,14],[1,4,7,8,11,12,13],[1,5,8,9,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,6,7,12,13,14],[2,4,5,9,10,12,14],[2,4,7,8,9,11,14],[2,4,7,8,10,13,14],[2,5,6,9,11,12,13],[2,5,7,9,10,11,13],[3,4,5,8,11,12,13],[3,4,6,8,9,10,13],[3,4,6,9,11,13,14],[3,5,6,8,10,11,14],[3,5,7,8,10,12,14],[4,5,6,7,10,11,12]]; G[6796]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6797: autom. group order 2, simple, residual B[6797]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,8,11,12,14],[1,3,5,7,9,11,14],[1,3,7,9,10,12,13],[1,4,5,6,7,13,14],[1,4,6,9,11,12,13],[1,4,7,8,10,12,14],[1,5,8,9,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,6,7,12,13,14],[2,4,5,9,11,12,13],[2,4,7,8,9,10,13],[2,4,7,8,11,13,14],[2,5,6,9,10,12,14],[2,5,7,9,10,11,14],[3,4,5,8,10,12,14],[3,4,6,8,9,11,14],[3,4,6,9,10,13,14],[3,5,6,8,10,11,13],[3,5,7,8,11,12,13],[4,5,6,7,10,11,12]]; G[6797]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6798: autom. group order 2, simple, residual B[6798]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,6,9,10,12,14],[1,3,5,7,9,10,13],[1,3,7,8,12,13,14],[1,4,5,6,11,13,14],[1,4,6,7,8,10,12],[1,4,8,9,10,11,14],[1,5,7,8,9,11,14],[1,6,7,9,11,12,13],[2,3,6,7,8,11,14],[2,3,6,8,9,11,13],[2,4,5,7,11,12,14],[2,4,7,8,9,10,13],[2,4,7,9,11,12,13],[2,5,6,7,9,10,14],[2,5,8,10,12,13,14],[3,4,5,9,12,13,14],[3,4,6,7,10,13,14],[3,4,6,8,9,12,14],[3,5,6,9,10,11,12],[3,5,7,8,10,11,12],[4,5,6,8,10,11,13]]; G[6798]:=Group([(1,10)(2,11)(4,12)(6,8)]); # Design 6799: autom. group order 2, simple, residual B[6799]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,10,13,14],[1,2,6,7,8,12,13],[1,3,5,9,12,13,14],[1,3,7,8,9,10,11],[1,4,5,6,8,11,14],[1,4,6,7,11,12,13],[1,4,7,9,10,12,14],[1,5,7,8,9,10,13],[1,6,8,9,11,12,14],[2,3,6,7,9,11,14],[2,3,7,8,12,13,14],[2,4,5,7,9,12,14],[2,4,6,8,9,10,13],[2,4,8,9,11,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,11,12],[3,4,5,8,11,12,13],[3,4,6,7,8,10,14],[3,4,6,9,10,12,13],[3,5,6,7,9,11,13],[3,5,6,8,10,12,14],[4,5,7,10,11,13,14]]; G[6799]:=Group([(1,10)(3,11)(4,12)(7,9)]); # Design 6800: autom. group order 2, simple B[6800]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,10,13,14],[1,2,6,7,8,12,13],[1,3,5,9,12,13,14],[1,3,7,8,9,10,11],[1,4,5,6,8,11,14],[1,4,6,7,11,12,13],[1,4,7,9,10,12,14],[1,5,8,9,11,12,13],[1,6,7,8,9,10,14],[2,3,6,7,9,11,14],[2,3,7,8,12,13,14],[2,4,5,7,9,12,14],[2,4,6,8,9,10,13],[2,4,8,9,11,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,11,12],[3,4,5,7,8,10,13],[3,4,6,8,11,12,14],[3,4,6,9,10,12,13],[3,5,6,7,9,11,13],[3,5,6,8,10,12,14],[4,5,7,10,11,13,14]]; G[6800]:=Group([(1,10)(3,11)(4,12)(7,9)]); # Design 6801: autom. group order 2, simple B[6801]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,6,7,10,13,14],[1,3,5,9,11,13,14],[1,3,7,8,9,12,14],[1,4,5,6,8,10,14],[1,4,6,9,12,13,14],[1,4,7,8,9,11,13],[1,5,7,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,8,9,10,11],[2,3,7,8,12,13,14],[2,4,5,7,11,12,14],[2,4,6,9,11,12,13],[2,4,7,8,9,10,13],[2,5,6,7,9,11,14],[2,5,8,9,10,12,14],[3,4,5,7,10,12,13],[3,4,6,7,8,11,14],[3,4,6,9,10,12,14],[3,5,6,7,9,10,13],[3,5,6,8,11,12,13],[4,5,8,10,11,13,14]]; G[6801]:=Group([(2,11)(3,10)(4,12)(5,7)(6,9)]); # Design 6802: autom. group order 2, simple B[6802]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,6,7,10,13,14],[1,3,5,9,11,13,14],[1,3,7,8,9,12,14],[1,4,5,6,8,10,14],[1,4,6,9,12,13,14],[1,4,7,8,9,11,13],[1,5,7,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,8,9,10,11],[2,3,7,8,12,13,14],[2,4,5,7,11,12,14],[2,4,6,9,11,12,14],[2,4,7,8,9,10,14],[2,5,6,7,9,11,13],[2,5,8,9,10,12,13],[3,4,5,7,10,12,13],[3,4,6,7,8,11,13],[3,4,6,9,10,12,13],[3,5,6,7,9,10,14],[3,5,6,8,11,12,14],[4,5,8,10,11,13,14]]; G[6802]:=Group([(2,11)(3,10)(4,12)(5,7)(6,9)]); # Design 6803: autom. group order 2, simple, residual B[6803]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,10,13,14],[1,2,6,8,9,12,13],[1,3,5,7,12,13,14],[1,3,7,8,9,10,11],[1,4,5,6,8,11,14],[1,4,6,9,11,12,13],[1,4,7,9,10,12,14],[1,5,7,8,9,10,13],[1,6,7,8,11,12,14],[2,3,6,7,9,11,14],[2,3,8,9,12,13,14],[2,4,5,7,9,12,14],[2,4,6,7,8,10,13],[2,4,7,8,11,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,11,12],[3,4,5,8,11,12,13],[3,4,6,7,10,12,13],[3,4,6,8,9,10,14],[3,5,6,7,9,11,13],[3,5,6,8,10,12,14],[4,5,9,10,11,13,14]]; G[6803]:=Group([(1,10)(3,11)(4,12)(7,9)]); # Design 6804: autom. group order 2, simple B[6804]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,10,13,14],[1,2,6,8,9,12,13],[1,3,5,7,12,13,14],[1,3,7,8,9,10,11],[1,4,5,6,8,11,14],[1,4,6,9,11,12,13],[1,4,7,9,10,12,14],[1,5,7,8,11,12,13],[1,6,7,8,9,10,14],[2,3,6,7,9,11,14],[2,3,8,9,12,13,14],[2,4,5,7,9,12,14],[2,4,6,7,8,10,13],[2,4,7,8,11,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,11,12],[3,4,5,8,9,10,13],[3,4,6,7,10,12,13],[3,4,6,8,11,12,14],[3,5,6,7,9,11,13],[3,5,6,8,10,12,14],[4,5,9,10,11,13,14]]; G[6804]:=Group([(1,10)(3,11)(4,12)(7,9)]); # Design 6805: autom. group order 2, simple, residual B[6805]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,6,9,10,13,14],[1,3,5,7,8,11,14],[1,3,7,9,12,13,14],[1,4,5,6,11,13,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,13],[1,5,7,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,8,9,10,11],[2,3,7,8,12,13,14],[2,4,5,7,10,12,13],[2,4,6,7,11,12,14],[2,4,7,8,9,11,13],[2,5,6,7,9,10,14],[2,5,8,9,11,12,14],[3,4,5,9,10,12,14],[3,4,6,7,8,10,14],[3,4,6,9,11,12,13],[3,5,6,7,9,11,13],[3,5,6,8,10,12,13],[4,5,8,10,11,13,14]]; G[6805]:=Group([(2,10)(3,11)(4,12)(5,7)(6,9)]); # Design 6806: autom. group order 2, simple, residual B[6806]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,6,9,10,13,14],[1,3,5,7,8,11,14],[1,3,7,9,12,13,14],[1,4,5,6,11,13,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,13],[1,5,7,9,10,11,12],[1,6,7,8,10,11,12],[2,3,6,8,9,10,11],[2,3,7,8,12,13,14],[2,4,5,7,10,12,14],[2,4,6,7,11,12,13],[2,4,7,8,9,11,13],[2,5,6,7,9,10,14],[2,5,8,9,11,12,14],[3,4,5,9,10,12,13],[3,4,6,7,8,10,14],[3,4,6,9,11,12,14],[3,5,6,7,9,11,13],[3,5,6,8,10,12,13],[4,5,8,10,11,13,14]]; G[6806]:=Group([(2,10)(3,11)(4,12)(5,7)(6,9)]); # Design 6807: autom. group order 2, simple, residual B[6807]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,6,9,10,13,14],[1,3,5,7,11,13,14],[1,3,7,8,9,12,14],[1,4,5,8,9,11,14],[1,4,6,7,8,10,13],[1,4,6,9,12,13,14],[1,5,6,7,10,11,12],[1,7,8,9,10,11,12],[2,3,6,7,9,12,14],[2,3,6,8,9,10,11],[2,4,5,7,10,12,14],[2,4,7,8,11,13,14],[2,4,7,9,11,12,13],[2,5,6,8,11,12,14],[2,5,7,8,9,10,13],[3,4,5,9,10,12,13],[3,4,6,7,8,10,14],[3,4,6,8,11,12,13],[3,5,6,7,9,11,13],[3,5,8,10,12,13,14],[4,5,6,9,10,11,14]]; G[6807]:=Group([(2,10)(3,11)(4,12)(5,7)]); # Design 6808: autom. group order 2, simple, residual B[6808]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,6,9,10,13,14],[1,3,5,7,11,13,14],[1,3,7,8,9,12,14],[1,4,5,8,9,11,14],[1,4,6,7,8,10,13],[1,4,6,9,12,13,14],[1,5,6,7,10,11,12],[1,7,8,9,10,11,12],[2,3,6,7,8,12,14],[2,3,6,8,9,10,11],[2,4,5,7,10,12,14],[2,4,7,8,11,13,14],[2,4,7,9,11,12,13],[2,5,6,9,11,12,14],[2,5,7,8,9,10,13],[3,4,5,9,10,12,13],[3,4,6,7,9,10,14],[3,4,6,8,11,12,13],[3,5,6,7,9,11,13],[3,5,8,10,12,13,14],[4,5,6,8,10,11,14]]; G[6808]:=Group([(2,10)(3,11)(4,12)(5,7)]); # Design 6809: autom. group order 2, simple, residual B[6809]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,6,9,10,13,14],[1,3,5,7,11,13,14],[1,3,7,8,9,12,14],[1,4,5,8,9,11,14],[1,4,6,7,8,10,13],[1,4,6,9,12,13,14],[1,5,6,7,10,11,12],[1,7,8,9,10,11,12],[2,3,6,8,9,10,11],[2,3,7,8,12,13,14],[2,4,5,7,10,12,14],[2,4,6,7,8,11,14],[2,4,7,9,11,12,13],[2,5,6,9,11,12,14],[2,5,7,8,9,10,13],[3,4,5,9,10,12,13],[3,4,6,7,9,10,14],[3,4,6,8,11,12,13],[3,5,6,7,9,11,13],[3,5,6,8,10,12,14],[4,5,8,10,11,13,14]]; G[6809]:=Group([(2,10)(3,11)(4,12)(5,7)]); # Design 6810: autom. group order 2, simple, residual B[6810]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,10,12,14],[1,3,5,7,9,11,14],[1,3,7,8,11,12,13],[1,4,5,8,9,13,14],[1,4,6,9,11,12,13],[1,4,7,8,10,12,14],[1,5,6,7,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,8,9,12,13,14],[2,4,5,6,11,12,14],[2,4,6,7,8,11,13],[2,4,7,9,11,13,14],[2,5,7,8,10,11,14],[2,5,7,9,10,12,13],[3,4,5,7,10,12,13],[3,4,6,7,9,10,14],[3,4,6,8,10,13,14],[3,5,6,8,11,12,14],[3,5,6,9,10,11,13],[4,5,8,9,10,11,12]]; G[6810]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6811: autom. group order 2, simple, residual B[6811]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,11,12,14],[1,3,5,7,9,11,14],[1,3,7,8,10,12,13],[1,4,5,8,9,13,14],[1,4,6,9,11,12,13],[1,4,7,8,10,12,14],[1,5,6,7,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,8,9,12,13,14],[2,4,5,6,10,12,14],[2,4,6,7,8,11,13],[2,4,7,9,10,13,14],[2,5,7,8,11,12,14],[2,5,7,9,10,11,13],[3,4,5,7,11,12,13],[3,4,6,7,9,10,14],[3,4,6,8,11,13,14],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13],[4,5,8,9,10,11,12]]; G[6811]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6812: autom. group order 2, simple, residual B[6812]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,11,12,13],[1,3,5,7,9,11,14],[1,3,7,8,10,12,14],[1,4,5,8,9,13,14],[1,4,6,8,10,12,14],[1,4,7,9,11,12,13],[1,5,6,7,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,8,9,12,13,14],[2,4,5,6,11,12,14],[2,4,6,7,9,10,14],[2,4,7,9,10,13,14],[2,5,7,8,10,11,13],[2,5,7,8,11,12,14],[3,4,5,7,10,12,13],[3,4,6,7,8,11,13],[3,4,6,8,11,13,14],[3,5,6,9,10,11,14],[3,5,6,9,10,12,13],[4,5,8,9,10,11,12]]; G[6812]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6813: autom. group order 2, simple, residual B[6813]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,11,12,14],[1,3,5,7,9,11,14],[1,3,7,8,10,12,13],[1,4,5,8,9,13,14],[1,4,6,8,10,12,14],[1,4,7,9,11,12,13],[1,5,6,7,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,8,9,12,13,14],[2,4,5,6,11,12,13],[2,4,6,7,9,10,14],[2,4,7,8,11,13,14],[2,5,7,8,10,11,14],[2,5,7,9,10,12,13],[3,4,5,7,10,12,14],[3,4,6,7,8,11,13],[3,4,6,9,10,13,14],[3,5,6,8,11,12,14],[3,5,6,9,10,11,13],[4,5,8,9,10,11,12]]; G[6813]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6814: autom. group order 2, simple, residual B[6814]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,11,12,14],[1,3,5,7,8,11,14],[1,3,7,9,10,12,13],[1,4,5,9,12,13,14],[1,4,6,8,9,10,14],[1,4,7,8,9,11,13],[1,5,6,7,12,13,14],[1,6,7,8,10,11,12],[2,3,6,7,8,13,14],[2,3,8,9,12,13,14],[2,4,5,6,11,12,13],[2,4,6,7,9,10,14],[2,4,7,8,10,12,13],[2,5,7,8,9,11,12],[2,5,7,9,10,11,14],[3,4,5,7,10,12,14],[3,4,6,7,9,11,13],[3,4,6,8,11,12,14],[3,5,6,8,9,10,12],[3,5,6,9,10,11,13],[4,5,8,10,11,13,14]]; G[6814]:=Group([(2,3)(6,7)(10,11)(13,14)]); # Design 6815: autom. group order 2, simple, residual B[6815]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,11,12,14],[1,3,5,7,8,11,14],[1,3,7,9,10,12,13],[1,4,5,9,12,13,14],[1,4,6,8,9,11,13],[1,4,7,8,9,10,14],[1,5,6,7,12,13,14],[1,6,7,8,10,11,12],[2,3,6,7,8,13,14],[2,3,8,9,12,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,11,13],[2,4,7,8,10,12,13],[2,5,7,8,9,11,12],[2,5,7,9,10,11,14],[3,4,5,7,11,12,13],[3,4,6,7,9,10,14],[3,4,6,8,11,12,14],[3,5,6,8,9,10,12],[3,5,6,9,10,11,13],[4,5,8,10,11,13,14]]; G[6815]:=Group([(2,3)(6,7)(10,11)(13,14)]); # Design 6816: autom. group order 2, simple, residual B[6816]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,10,12,14],[1,3,5,7,9,11,14],[1,3,7,8,11,12,13],[1,4,5,8,9,13,14],[1,4,6,9,11,12,13],[1,4,7,8,10,12,14],[1,5,6,7,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,8,9,12,13,14],[2,4,5,7,11,12,13],[2,4,6,7,9,11,14],[2,4,6,8,11,13,14],[2,5,7,8,10,11,14],[2,5,7,9,10,12,13],[3,4,5,6,10,12,14],[3,4,6,7,8,10,13],[3,4,7,9,10,13,14],[3,5,6,8,11,12,14],[3,5,6,9,10,11,13],[4,5,8,9,10,11,12]]; G[6816]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6817: autom. group order 2, simple, residual B[6817]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,11,12,14],[1,3,5,7,9,11,14],[1,3,7,8,10,12,13],[1,4,5,8,9,13,14],[1,4,6,9,10,12,14],[1,4,7,8,11,12,13],[1,5,6,7,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,8,9,12,13,14],[2,4,5,7,10,12,14],[2,4,6,7,9,10,13],[2,4,6,8,11,13,14],[2,5,7,8,10,11,14],[2,5,7,9,11,12,13],[3,4,5,6,11,12,13],[3,4,6,7,8,11,14],[3,4,7,9,10,13,14],[3,5,6,8,10,12,14],[3,5,6,9,10,11,13],[4,5,8,9,10,11,12]]; G[6817]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6818: autom. group order 2, simple, residual B[6818]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,11,12,14],[1,3,5,7,9,11,14],[1,3,7,8,10,12,13],[1,4,5,8,9,13,14],[1,4,6,9,10,12,13],[1,4,7,8,11,12,14],[1,5,6,7,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,8,9,12,13,14],[2,4,5,7,11,12,13],[2,4,6,7,9,10,14],[2,4,6,8,11,13,14],[2,5,7,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,6,10,12,14],[3,4,6,7,8,11,13],[3,4,7,9,10,13,14],[3,5,6,8,10,11,14],[3,5,6,9,11,12,13],[4,5,8,9,10,11,12]]; G[6818]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6819: autom. group order 2, simple, residual B[6819]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,10,12,14],[1,3,5,7,9,11,14],[1,3,7,8,11,12,13],[1,4,5,8,9,13,14],[1,4,6,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,7,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,8,9,12,13,14],[2,4,5,7,10,12,13],[2,4,6,7,8,11,14],[2,4,6,9,11,13,14],[2,5,7,8,10,11,14],[2,5,7,9,11,12,13],[3,4,5,6,11,12,14],[3,4,6,7,9,10,13],[3,4,7,8,10,13,14],[3,5,6,8,10,12,14],[3,5,6,9,10,11,13],[4,5,8,9,10,11,12]]; G[6819]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6820: autom. group order 2, simple, residual B[6820]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,11,12,14],[1,3,5,7,9,11,14],[1,3,7,8,10,12,13],[1,4,5,8,9,13,14],[1,4,6,8,11,12,14],[1,4,7,9,10,12,13],[1,5,6,7,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,8,9,12,13,14],[2,4,5,7,10,12,14],[2,4,6,7,8,11,13],[2,4,6,9,10,13,14],[2,5,7,8,10,11,14],[2,5,7,9,11,12,13],[3,4,5,6,11,12,13],[3,4,6,7,9,10,14],[3,4,7,8,11,13,14],[3,5,6,8,10,12,14],[3,5,6,9,10,11,13],[4,5,8,9,10,11,12]]; G[6820]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6821: autom. group order 2, simple, residual B[6821]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,11,12,14],[1,3,5,7,9,11,14],[1,3,7,8,10,12,13],[1,4,5,8,9,13,14],[1,4,6,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,7,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,8,9,12,13,14],[2,4,5,7,11,12,13],[2,4,6,7,8,11,14],[2,4,6,9,10,13,14],[2,5,7,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,6,10,12,14],[3,4,6,7,9,10,13],[3,4,7,8,11,13,14],[3,5,6,8,10,11,14],[3,5,6,9,11,12,13],[4,5,8,9,10,11,12]]; G[6821]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6822: autom. group order 2, simple, residual B[6822]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,10,12,14],[1,3,5,7,8,11,14],[1,3,7,9,11,12,13],[1,4,5,9,12,13,14],[1,4,6,8,9,11,13],[1,4,7,8,9,10,14],[1,5,6,7,12,13,14],[1,6,7,8,10,11,12],[2,3,6,7,8,13,14],[2,3,8,9,12,13,14],[2,4,5,7,10,12,13],[2,4,6,7,9,11,13],[2,4,6,8,11,12,14],[2,5,7,8,9,11,12],[2,5,7,9,10,11,14],[3,4,5,6,11,12,14],[3,4,6,7,9,10,14],[3,4,7,8,10,12,13],[3,5,6,8,9,10,12],[3,5,6,9,10,11,13],[4,5,8,10,11,13,14]]; G[6822]:=Group([(2,3)(6,7)(10,11)(13,14)]); # Design 6823: autom. group order 2, simple, residual B[6823]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,10,12,14],[1,3,5,7,8,11,14],[1,3,7,9,11,12,13],[1,4,5,9,12,13,14],[1,4,6,8,9,11,14],[1,4,7,8,9,10,13],[1,5,6,7,12,13,14],[1,6,7,8,10,11,12],[2,3,6,7,8,13,14],[2,3,8,9,12,13,14],[2,4,5,7,10,12,14],[2,4,6,7,9,11,14],[2,4,6,8,11,12,13],[2,5,7,8,9,11,12],[2,5,7,9,10,11,13],[3,4,5,6,11,12,13],[3,4,6,7,9,10,13],[3,4,7,8,10,12,14],[3,5,6,8,9,10,12],[3,5,6,9,10,11,14],[4,5,8,10,11,13,14]]; G[6823]:=Group([(2,3)(6,7)(10,11)(13,14)]); # Design 6824: autom. group order 2, simple, residual B[6824]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,11,12,14],[1,3,5,7,8,11,14],[1,3,7,9,10,12,13],[1,4,5,9,12,13,14],[1,4,6,8,9,10,14],[1,4,7,8,9,11,13],[1,5,6,7,12,13,14],[1,6,7,8,10,11,12],[2,3,6,7,8,13,14],[2,3,8,9,12,13,14],[2,4,5,7,10,12,13],[2,4,6,7,9,10,14],[2,4,6,8,11,12,13],[2,5,7,8,9,11,12],[2,5,7,9,10,11,14],[3,4,5,6,11,12,14],[3,4,6,7,9,11,13],[3,4,7,8,10,12,14],[3,5,6,8,9,10,12],[3,5,6,9,10,11,13],[4,5,8,10,11,13,14]]; G[6824]:=Group([(2,3)(6,7)(10,11)(13,14)]); # Design 6825: autom. group order 2, simple, residual B[6825]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,11,12,14],[1,3,5,7,8,11,14],[1,3,7,9,10,12,13],[1,4,5,9,12,13,14],[1,4,6,8,9,10,14],[1,4,7,8,9,11,13],[1,5,6,7,12,13,14],[1,6,7,8,10,11,12],[2,3,6,7,8,13,14],[2,3,8,9,12,13,14],[2,4,5,7,11,12,14],[2,4,6,7,9,10,14],[2,4,6,8,11,12,13],[2,5,7,8,9,10,12],[2,5,7,9,10,11,13],[3,4,5,6,10,12,13],[3,4,6,7,9,11,13],[3,4,7,8,10,12,14],[3,5,6,8,9,11,12],[3,5,6,9,10,11,14],[4,5,8,10,11,13,14]]; G[6825]:=Group([(2,3)(6,7)(10,11)(13,14)]); # Design 6826: autom. group order 2, simple, residual B[6826]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,11,12,14],[1,3,5,7,8,11,14],[1,3,7,9,10,12,13],[1,4,5,9,12,13,14],[1,4,6,8,9,11,13],[1,4,7,8,9,10,14],[1,5,6,7,12,13,14],[1,6,7,8,10,11,12],[2,3,6,7,8,13,14],[2,3,8,9,12,13,14],[2,4,5,7,10,12,13],[2,4,6,7,9,11,13],[2,4,6,8,10,12,14],[2,5,7,8,9,11,12],[2,5,7,9,10,11,14],[3,4,5,6,11,12,14],[3,4,6,7,9,10,14],[3,4,7,8,11,12,13],[3,5,6,8,9,10,12],[3,5,6,9,10,11,13],[4,5,8,10,11,13,14]]; G[6826]:=Group([(2,3)(6,7)(10,11)(13,14)]); # Design 6827: autom. group order 2, simple, residual B[6827]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,7,12,13,14],[1,3,5,9,12,13,14],[1,3,7,8,10,12,14],[1,4,5,7,9,11,13],[1,4,6,7,9,10,12],[1,4,8,9,10,11,14],[1,5,6,7,8,11,14],[1,6,8,9,11,12,13],[2,3,6,7,9,11,14],[2,3,7,8,9,11,13],[2,4,5,8,12,13,14],[2,4,6,9,10,13,14],[2,4,7,8,9,12,14],[2,5,6,9,10,11,12],[2,5,7,8,10,11,12],[3,4,5,6,11,12,14],[3,4,6,7,8,10,13],[3,4,6,8,11,12,13],[3,5,6,8,9,10,14],[3,5,7,9,10,12,13],[4,5,7,10,11,13,14]]; G[6827]:=Group([(1,10)(3,11)(4,12)(7,9)]); # Design 6828: autom. group order 2, simple, residual B[6828]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,12,13,14],[1,2,6,7,8,10,11],[1,3,5,9,10,13,14],[1,3,7,8,9,12,13],[1,4,5,7,8,11,13],[1,4,6,8,10,12,14],[1,4,7,9,10,12,14],[1,5,6,7,9,11,14],[1,6,8,9,11,12,13],[2,3,6,8,9,11,14],[2,3,7,8,12,13,14],[2,4,5,9,11,12,13],[2,4,6,8,9,10,13],[2,4,7,9,11,12,14],[2,5,6,7,10,12,13],[2,5,7,8,9,10,14],[3,4,5,6,8,12,14],[3,4,6,7,9,10,13],[3,4,6,7,11,13,14],[3,5,6,9,10,11,12],[3,5,7,8,10,11,12],[4,5,8,10,11,13,14]]; G[6828]:=Group([(1,10)(2,11)(4,12)(6,8)]); # Design 6829: autom. group order 2, simple, residual B[6829]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,10,13,14],[1,2,6,8,9,12,13],[1,3,5,7,12,13,14],[1,3,7,8,9,10,11],[1,4,5,8,9,11,13],[1,4,6,8,10,12,14],[1,4,7,9,10,12,14],[1,5,6,7,8,11,14],[1,6,7,9,11,12,13],[2,3,6,7,9,11,14],[2,3,8,9,12,13,14],[2,4,5,7,9,12,14],[2,4,6,7,8,10,13],[2,4,7,8,11,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,11,12],[3,4,5,6,11,12,13],[3,4,6,7,9,10,13],[3,4,6,8,11,12,14],[3,5,6,8,9,10,14],[3,5,7,8,10,12,13],[4,5,9,10,11,13,14]]; G[6829]:=Group([(1,10)(3,11)(4,12)(7,9)]); # Design 6830: autom. group order 2, simple, residual B[6830]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,11,12,13],[1,3,5,7,9,11,14],[1,3,7,8,10,12,14],[1,4,5,8,9,13,14],[1,4,6,9,11,12,14],[1,4,7,8,10,12,13],[1,5,6,7,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,8,9,12,13,14],[2,4,5,7,11,12,13],[2,4,6,7,9,10,14],[2,4,7,9,10,13,14],[2,5,6,8,10,11,14],[2,5,7,8,11,12,14],[3,4,5,6,10,12,14],[3,4,6,7,8,11,13],[3,4,6,8,11,13,14],[3,5,6,9,10,12,13],[3,5,7,9,10,11,13],[4,5,8,9,10,11,12]]; G[6830]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6831: autom. group order 2, simple, residual B[6831]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,11,12,13],[1,3,5,7,9,11,14],[1,3,7,8,10,12,14],[1,4,5,8,9,13,14],[1,4,6,8,10,12,14],[1,4,7,9,11,12,13],[1,5,6,7,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,8,9,12,13,14],[2,4,5,7,10,12,13],[2,4,6,7,8,11,14],[2,4,7,8,11,13,14],[2,5,6,9,10,11,14],[2,5,7,9,10,12,14],[3,4,5,6,11,12,14],[3,4,6,7,9,10,13],[3,4,6,9,10,13,14],[3,5,6,8,11,12,13],[3,5,7,8,10,11,13],[4,5,8,9,10,11,12]]; G[6831]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6832: autom. group order 2, simple, residual B[6832]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,11,12,14],[1,3,5,7,8,11,14],[1,3,7,9,10,12,13],[1,4,5,9,12,13,14],[1,4,6,8,9,11,14],[1,4,7,8,9,10,13],[1,5,6,7,12,13,14],[1,6,7,8,10,11,12],[2,3,6,7,8,13,14],[2,3,8,9,12,13,14],[2,4,5,7,10,12,14],[2,4,6,7,9,10,14],[2,4,7,8,11,12,13],[2,5,6,9,10,11,13],[2,5,7,8,9,11,12],[3,4,5,6,11,12,13],[3,4,6,7,9,11,13],[3,4,6,8,10,12,14],[3,5,6,8,9,10,12],[3,5,7,9,10,11,14],[4,5,8,10,11,13,14]]; G[6832]:=Group([(2,3)(6,7)(10,11)(13,14)]); # Design 6833: autom. group order 2, simple, residual B[6833]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,11,12,14],[1,3,5,7,8,11,14],[1,3,7,9,10,12,13],[1,4,5,9,12,13,14],[1,4,6,8,9,11,14],[1,4,7,8,9,10,13],[1,5,6,7,12,13,14],[1,6,7,8,10,11,12],[2,3,6,7,8,13,14],[2,3,8,9,12,13,14],[2,4,5,7,11,12,13],[2,4,6,7,9,10,14],[2,4,7,8,10,12,14],[2,5,6,9,10,11,13],[2,5,7,8,9,11,12],[3,4,5,6,10,12,14],[3,4,6,7,9,11,13],[3,4,6,8,11,12,13],[3,5,6,8,9,10,12],[3,5,7,9,10,11,14],[4,5,8,10,11,13,14]]; G[6833]:=Group([(2,3)(6,7)(10,11)(13,14)]); # Design 6834: autom. group order 2, simple, residual B[6834]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,10,12,14],[1,3,5,7,8,11,14],[1,3,7,9,11,12,13],[1,4,5,9,12,13,14],[1,4,6,8,9,11,13],[1,4,7,8,9,10,14],[1,5,6,7,12,13,14],[1,6,7,8,10,11,12],[2,3,6,7,8,13,14],[2,3,8,9,12,13,14],[2,4,5,7,10,12,13],[2,4,6,7,9,11,14],[2,4,7,8,11,12,13],[2,5,6,8,9,11,12],[2,5,7,9,10,11,14],[3,4,5,6,11,12,14],[3,4,6,7,9,10,13],[3,4,6,8,10,12,14],[3,5,6,9,10,11,13],[3,5,7,8,9,10,12],[4,5,8,10,11,13,14]]; G[6834]:=Group([(2,3)(6,7)(10,11)(13,14)]); # Design 6835: autom. group order 2, simple, residual B[6835]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,10,12,14],[1,3,5,7,8,11,14],[1,3,7,9,11,12,13],[1,4,5,9,12,13,14],[1,4,6,8,9,11,13],[1,4,7,8,9,10,14],[1,5,6,7,12,13,14],[1,6,7,8,10,11,12],[2,3,6,7,8,13,14],[2,3,8,9,12,13,14],[2,4,5,7,11,12,13],[2,4,6,7,9,11,14],[2,4,7,8,10,12,13],[2,5,6,8,9,11,12],[2,5,7,9,10,11,14],[3,4,5,6,10,12,14],[3,4,6,7,9,10,13],[3,4,6,8,11,12,14],[3,5,6,9,10,11,13],[3,5,7,8,9,10,12],[4,5,8,10,11,13,14]]; G[6835]:=Group([(2,3)(6,7)(10,11)(13,14)]); # Design 6836: autom. group order 2, simple, residual B[6836]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,11,12,14],[1,3,5,7,8,11,14],[1,3,7,9,10,12,13],[1,4,5,9,12,13,14],[1,4,6,8,9,10,13],[1,4,7,8,9,11,14],[1,5,6,7,12,13,14],[1,6,7,8,10,11,12],[2,3,6,7,8,13,14],[2,3,8,9,12,13,14],[2,4,5,7,10,12,14],[2,4,6,7,9,10,14],[2,4,7,8,11,12,13],[2,5,6,8,9,11,12],[2,5,7,9,10,11,13],[3,4,5,6,11,12,13],[3,4,6,7,9,11,13],[3,4,6,8,10,12,14],[3,5,6,9,10,11,14],[3,5,7,8,9,10,12],[4,5,8,10,11,13,14]]; G[6836]:=Group([(2,3)(6,7)(10,11)(13,14)]); # Design 6837: autom. group order 2, simple, residual B[6837]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,11,12,14],[1,3,5,7,8,11,14],[1,3,7,9,10,12,13],[1,4,5,9,12,13,14],[1,4,6,8,9,10,14],[1,4,7,8,9,11,13],[1,5,6,7,12,13,14],[1,6,7,8,10,11,12],[2,3,6,7,8,13,14],[2,3,8,9,12,13,14],[2,4,5,7,10,12,14],[2,4,6,7,9,10,13],[2,4,7,8,11,12,13],[2,5,6,8,9,11,12],[2,5,7,9,10,11,14],[3,4,5,6,11,12,13],[3,4,6,7,9,11,14],[3,4,6,8,10,12,14],[3,5,6,9,10,11,13],[3,5,7,8,9,10,12],[4,5,8,10,11,13,14]]; G[6837]:=Group([(2,3)(6,7)(10,11)(13,14)]); # Design 6838: autom. group order 2, simple, residual B[6838]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,11,12,14],[1,3,5,7,8,11,14],[1,3,7,9,10,12,13],[1,4,5,9,12,13,14],[1,4,6,8,9,10,13],[1,4,7,8,9,11,14],[1,5,6,7,12,13,14],[1,6,7,8,10,11,12],[2,3,6,7,8,13,14],[2,3,8,9,12,13,14],[2,4,5,7,11,12,13],[2,4,6,7,9,10,14],[2,4,7,8,10,12,14],[2,5,6,8,9,11,12],[2,5,7,9,10,11,13],[3,4,5,6,10,12,14],[3,4,6,7,9,11,13],[3,4,6,8,11,12,13],[3,5,6,9,10,11,14],[3,5,7,8,9,10,12],[4,5,8,10,11,13,14]]; G[6838]:=Group([(2,3)(6,7)(10,11)(13,14)]); # Design 6839: autom. group order 2, simple, residual B[6839]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,11,12,14],[1,3,5,7,8,11,14],[1,3,7,9,10,12,13],[1,4,5,9,12,13,14],[1,4,6,8,9,10,14],[1,4,7,8,9,11,13],[1,5,6,7,12,13,14],[1,6,7,8,10,11,12],[2,3,6,7,8,13,14],[2,3,8,9,12,13,14],[2,4,5,7,11,12,13],[2,4,6,7,9,10,13],[2,4,7,8,10,12,14],[2,5,6,8,9,11,12],[2,5,7,9,10,11,14],[3,4,5,6,10,12,14],[3,4,6,7,9,11,14],[3,4,6,8,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,9,10,12],[4,5,8,10,11,13,14]]; G[6839]:=Group([(2,3)(6,7)(10,11)(13,14)]); # Design 6840: autom. group order 2, simple, residual B[6840]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,11,12,14],[1,3,5,7,8,11,14],[1,3,7,9,10,12,13],[1,4,5,9,12,13,14],[1,4,6,8,9,11,14],[1,4,7,8,9,10,13],[1,5,6,7,12,13,14],[1,6,7,8,10,11,12],[2,3,6,7,8,13,14],[2,3,8,9,12,13,14],[2,4,5,7,10,12,14],[2,4,6,7,9,11,13],[2,4,7,8,11,12,13],[2,5,6,8,9,10,12],[2,5,7,9,10,11,14],[3,4,5,6,11,12,13],[3,4,6,7,9,10,14],[3,4,6,8,10,12,14],[3,5,6,9,10,11,13],[3,5,7,8,9,11,12],[4,5,8,10,11,13,14]]; G[6840]:=Group([(2,3)(6,7)(10,11)(13,14)]); # Design 6841: autom. group order 2, simple, residual B[6841]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,11,12,14],[1,3,5,7,8,11,14],[1,3,7,9,10,12,13],[1,4,5,9,12,13,14],[1,4,6,8,9,11,14],[1,4,7,8,9,10,13],[1,5,6,7,12,13,14],[1,6,7,8,10,11,12],[2,3,6,7,8,13,14],[2,3,8,9,12,13,14],[2,4,5,7,11,12,13],[2,4,6,7,9,11,13],[2,4,7,8,10,12,14],[2,5,6,8,9,10,12],[2,5,7,9,10,11,14],[3,4,5,6,10,12,14],[3,4,6,7,9,10,14],[3,4,6,8,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,9,11,12],[4,5,8,10,11,13,14]]; G[6841]:=Group([(2,3)(6,7)(10,11)(13,14)]); # Design 6842: autom. group order 2, simple, residual B[6842]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,12,13,14],[1,3,5,7,12,13,14],[1,3,8,9,10,12,14],[1,4,5,7,9,11,13],[1,4,6,7,9,10,12],[1,4,7,8,10,11,14],[1,5,6,8,9,11,14],[1,6,7,8,11,12,13],[2,3,6,7,9,11,14],[2,3,7,8,9,11,13],[2,4,5,8,12,13,14],[2,4,6,7,10,13,14],[2,4,7,8,9,12,14],[2,5,6,9,10,11,12],[2,5,7,8,10,11,12],[3,4,5,6,11,12,14],[3,4,6,8,9,10,13],[3,4,6,8,11,12,13],[3,5,6,7,8,10,14],[3,5,7,9,10,12,13],[4,5,9,10,11,13,14]]; G[6842]:=Group([(1,10)(3,11)(4,12)(7,9)]); # Design 6843: autom. group order 2, simple B[6843]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,12,13],[1,2,8,9,10,12,13],[1,3,5,6,8,10,14],[1,3,7,9,11,12,14],[1,4,5,8,11,13,14],[1,4,6,7,9,12,14],[1,4,6,9,10,13,14],[1,5,7,8,11,12,13],[1,6,7,8,9,10,11],[2,3,6,7,11,13,14],[2,3,6,8,9,12,13],[2,4,5,7,9,10,11],[2,4,6,8,11,12,14],[2,4,7,8,10,12,14],[2,5,6,8,9,11,14],[2,5,7,9,10,13,14],[3,4,5,9,12,13,14],[3,4,6,7,8,10,13],[3,4,7,8,9,11,13],[3,5,6,9,10,11,12],[3,5,7,8,10,12,14],[4,5,6,10,11,12,13]]; G[6843]:=Group([(1,14)(3,11)(4,6)(5,8)(7,12)(10,13)]); # Design 6844: autom. group order 2, simple, residual B[6844]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,7,9,10,12,13],[1,3,5,6,9,11,14],[1,3,7,8,11,12,14],[1,4,5,7,12,13,14],[1,4,6,7,8,10,14],[1,4,6,7,9,11,13],[1,5,8,9,12,13,14],[1,6,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,9,10,12,14],[2,4,6,9,11,12,14],[2,4,7,8,9,11,13],[2,5,6,7,8,11,12],[2,5,7,8,10,11,14],[3,4,5,8,11,12,13],[3,4,6,8,10,12,13],[3,4,7,8,9,10,14],[3,5,6,7,9,10,12],[3,5,7,9,10,11,13],[4,5,6,10,11,13,14]]; G[6844]:=Group([(2,3)(8,9)(10,11)(13,14)]); # Design 6845: autom. group order 2, simple, residual B[6845]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,7,9,10,12,13],[1,3,5,6,9,11,14],[1,3,7,8,11,12,14],[1,4,5,7,12,13,14],[1,4,6,7,8,10,14],[1,4,6,7,9,11,13],[1,5,8,9,12,13,14],[1,6,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,9,11,12,14],[2,4,6,9,10,12,14],[2,4,7,8,9,11,13],[2,5,6,7,8,11,12],[2,5,7,8,10,11,14],[3,4,5,8,10,12,13],[3,4,6,8,11,12,13],[3,4,7,8,9,10,14],[3,5,6,7,9,10,12],[3,5,7,9,10,11,13],[4,5,6,10,11,13,14]]; G[6845]:=Group([(2,3)(8,9)(10,11)(13,14)]); # Design 6846: autom. group order 2, simple, residual B[6846]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,7,9,11,12,14],[1,3,5,6,9,11,14],[1,3,7,8,10,12,13],[1,4,5,7,12,13,14],[1,4,6,7,8,10,14],[1,4,6,7,9,11,13],[1,5,8,9,12,13,14],[1,6,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,9,10,12,13],[2,4,6,9,10,12,14],[2,4,7,8,9,11,13],[2,5,6,7,8,11,12],[2,5,7,8,10,11,14],[3,4,5,8,11,12,14],[3,4,6,8,11,12,13],[3,4,7,8,9,10,14],[3,5,6,7,9,10,12],[3,5,7,9,10,11,13],[4,5,6,10,11,13,14]]; G[6846]:=Group([(2,3)(8,9)(10,11)(13,14)]); # Design 6847: autom. group order 2, simple, residual B[6847]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,7,9,11,12,14],[1,3,5,6,9,11,14],[1,3,7,8,10,12,13],[1,4,5,7,12,13,14],[1,4,6,7,8,10,14],[1,4,6,7,9,11,13],[1,5,8,9,12,13,14],[1,6,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,9,10,12,14],[2,4,6,9,10,12,13],[2,4,7,8,9,11,13],[2,5,6,7,8,11,12],[2,5,7,8,10,11,14],[3,4,5,8,11,12,13],[3,4,6,8,11,12,14],[3,4,7,8,9,10,14],[3,5,6,7,9,10,12],[3,5,7,9,10,11,13],[4,5,6,10,11,13,14]]; G[6847]:=Group([(2,3)(8,9)(10,11)(13,14)]); # Design 6848: autom. group order 2, simple, residual B[6848]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,7,9,11,12,14],[1,3,5,6,9,11,14],[1,3,7,8,10,12,13],[1,4,5,7,12,13,14],[1,4,6,7,8,11,13],[1,4,6,7,9,10,14],[1,5,8,9,12,13,14],[1,6,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,9,10,12,13],[2,4,6,9,11,12,13],[2,4,7,8,9,10,14],[2,5,6,7,8,11,12],[2,5,7,8,10,11,14],[3,4,5,8,11,12,14],[3,4,6,8,10,12,14],[3,4,7,8,9,11,13],[3,5,6,7,9,10,12],[3,5,7,9,10,11,13],[4,5,6,10,11,13,14]]; G[6848]:=Group([(2,3)(8,9)(10,11)(13,14)]); # Design 6849: autom. group order 2, simple, residual B[6849]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,7,9,11,12,14],[1,3,5,6,9,11,14],[1,3,7,8,10,12,13],[1,4,5,7,12,13,14],[1,4,6,7,8,11,13],[1,4,6,7,9,10,14],[1,5,8,9,12,13,14],[1,6,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,9,11,12,13],[2,4,6,9,10,12,13],[2,4,7,8,9,10,14],[2,5,6,7,8,11,12],[2,5,7,8,10,11,14],[3,4,5,8,10,12,14],[3,4,6,8,11,12,14],[3,4,7,8,9,11,13],[3,5,6,7,9,10,12],[3,5,7,9,10,11,13],[4,5,6,10,11,13,14]]; G[6849]:=Group([(2,3)(8,9)(10,11)(13,14)]); # Design 6850: autom. group order 2, simple, residual B[6850]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,7,9,10,12,14],[1,3,5,6,9,11,14],[1,3,7,8,11,12,13],[1,4,5,7,12,13,14],[1,4,6,7,8,10,14],[1,4,6,7,9,11,13],[1,5,8,9,12,13,14],[1,6,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,9,10,12,13],[2,4,6,8,11,12,13],[2,4,7,8,9,11,14],[2,5,6,7,9,11,12],[2,5,7,8,10,11,14],[3,4,5,8,11,12,14],[3,4,6,9,10,12,14],[3,4,7,8,9,10,13],[3,5,6,7,8,10,12],[3,5,7,9,10,11,13],[4,5,6,10,11,13,14]]; G[6850]:=Group([(2,3)(8,9)(10,11)(13,14)]); # Design 6851: autom. group order 2, simple, residual B[6851]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,7,9,10,12,14],[1,3,5,6,9,11,14],[1,3,7,8,11,12,13],[1,4,5,7,12,13,14],[1,4,6,7,8,10,13],[1,4,6,7,9,11,14],[1,5,8,9,12,13,14],[1,6,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,9,11,12,13],[2,4,6,8,11,12,14],[2,4,7,8,9,11,13],[2,5,6,7,9,10,12],[2,5,7,8,10,11,14],[3,4,5,8,10,12,14],[3,4,6,9,10,12,13],[3,4,7,8,9,10,14],[3,5,6,7,8,11,12],[3,5,7,9,10,11,13],[4,5,6,10,11,13,14]]; G[6851]:=Group([(2,3)(8,9)(10,11)(13,14)]); # Design 6852: autom. group order 2, simple, residual B[6852]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,7,9,10,12,14],[1,3,5,6,9,11,14],[1,3,7,8,11,12,13],[1,4,5,7,12,13,14],[1,4,6,7,8,10,14],[1,4,6,7,9,11,13],[1,5,8,9,12,13,14],[1,6,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,9,11,12,13],[2,4,6,8,11,12,14],[2,4,7,8,9,11,14],[2,5,6,7,9,10,12],[2,5,7,8,10,11,13],[3,4,5,8,10,12,14],[3,4,6,9,10,12,13],[3,4,7,8,9,10,13],[3,5,6,7,8,11,12],[3,5,7,9,10,11,14],[4,5,6,10,11,13,14]]; G[6852]:=Group([(2,3)(8,9)(10,11)(13,14)]); # Design 6853: autom. group order 2, simple, residual B[6853]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,7,9,10,12,14],[1,3,5,6,9,11,14],[1,3,7,8,11,12,13],[1,4,5,7,12,13,14],[1,4,6,7,8,11,13],[1,4,6,7,9,10,14],[1,5,8,9,12,13,14],[1,6,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,9,11,12,13],[2,4,6,8,11,12,14],[2,4,7,8,9,10,13],[2,5,6,7,9,11,12],[2,5,7,8,10,11,14],[3,4,5,8,10,12,14],[3,4,6,9,10,12,13],[3,4,7,8,9,11,14],[3,5,6,7,8,10,12],[3,5,7,9,10,11,13],[4,5,6,10,11,13,14]]; G[6853]:=Group([(2,3)(8,9)(10,11)(13,14)]); # Design 6854: autom. group order 2, simple, residual B[6854]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,7,9,11,12,13],[1,3,5,6,9,11,14],[1,3,7,8,10,12,14],[1,4,5,7,12,13,14],[1,4,6,7,8,10,14],[1,4,6,7,9,11,13],[1,5,8,9,12,13,14],[1,6,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,9,10,12,14],[2,4,6,8,11,12,14],[2,4,7,8,9,11,14],[2,5,6,7,9,10,12],[2,5,7,8,10,11,13],[3,4,5,8,11,12,13],[3,4,6,9,10,12,13],[3,4,7,8,9,10,13],[3,5,6,7,8,11,12],[3,5,7,9,10,11,14],[4,5,6,10,11,13,14]]; G[6854]:=Group([(2,3)(8,9)(10,11)(13,14)]); # Design 6855: autom. group order 2, simple, residual B[6855]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,7,9,11,12,13],[1,3,5,6,9,11,14],[1,3,7,8,10,12,14],[1,4,5,7,12,13,14],[1,4,6,7,8,11,13],[1,4,6,7,9,10,14],[1,5,8,9,12,13,14],[1,6,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,9,10,12,14],[2,4,6,8,11,12,14],[2,4,7,8,9,10,13],[2,5,6,7,9,11,12],[2,5,7,8,10,11,14],[3,4,5,8,11,12,13],[3,4,6,9,10,12,13],[3,4,7,8,9,11,14],[3,5,6,7,8,10,12],[3,5,7,9,10,11,13],[4,5,6,10,11,13,14]]; G[6855]:=Group([(2,3)(8,9)(10,11)(13,14)]); # Design 6856: autom. group order 2, simple, residual B[6856]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,7,9,11,12,13],[1,3,5,6,9,11,14],[1,3,7,8,10,12,14],[1,4,5,7,12,13,14],[1,4,6,7,8,11,14],[1,4,6,7,9,10,13],[1,5,8,9,12,13,14],[1,6,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,9,10,12,14],[2,4,6,8,11,12,14],[2,4,7,8,9,10,14],[2,5,6,7,9,11,12],[2,5,7,8,10,11,13],[3,4,5,8,11,12,13],[3,4,6,9,10,12,13],[3,4,7,8,9,11,13],[3,5,6,7,8,10,12],[3,5,7,9,10,11,14],[4,5,6,10,11,13,14]]; G[6856]:=Group([(2,3)(8,9)(10,11)(13,14)]); # Design 6857: autom. group order 2, simple, residual B[6857]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,7,9,11,12,14],[1,3,5,6,9,11,14],[1,3,7,8,10,12,13],[1,4,5,7,12,13,14],[1,4,6,7,8,11,14],[1,4,6,7,9,10,13],[1,5,8,9,12,13,14],[1,6,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,9,11,12,13],[2,4,6,8,11,12,13],[2,4,7,8,9,10,14],[2,5,6,7,9,10,12],[2,5,7,8,10,11,14],[3,4,5,8,10,12,14],[3,4,6,9,10,12,14],[3,4,7,8,9,11,13],[3,5,6,7,8,11,12],[3,5,7,9,10,11,13],[4,5,6,10,11,13,14]]; G[6857]:=Group([(2,3)(8,9)(10,11)(13,14)]); # Design 6858: autom. group order 2, simple, residual B[6858]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,7,9,10,12,14],[1,3,5,6,9,11,14],[1,3,7,8,11,12,13],[1,4,5,7,12,13,14],[1,4,6,7,8,11,13],[1,4,6,7,9,10,14],[1,5,8,9,12,13,14],[1,6,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,9,11,12,13],[2,4,6,8,11,12,14],[2,4,7,8,9,11,14],[2,5,6,7,8,10,12],[2,5,7,9,10,11,13],[3,4,5,8,10,12,14],[3,4,6,9,10,12,13],[3,4,7,8,9,10,13],[3,5,6,7,9,11,12],[3,5,7,8,10,11,14],[4,5,6,10,11,13,14]]; G[6858]:=Group([(2,3)(8,9)(10,11)(13,14)]); # Design 6859: autom. group order 2, simple, residual B[6859]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,7,9,10,12,14],[1,3,5,6,9,11,14],[1,3,7,8,11,12,13],[1,4,5,7,12,13,14],[1,4,6,7,8,10,14],[1,4,6,7,9,11,13],[1,5,8,9,12,13,14],[1,6,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,8,11,12,13],[2,4,6,9,10,12,13],[2,4,7,8,9,11,14],[2,5,6,7,9,11,12],[2,5,7,8,10,11,14],[3,4,5,9,10,12,14],[3,4,6,8,11,12,14],[3,4,7,8,9,10,13],[3,5,6,7,8,10,12],[3,5,7,9,10,11,13],[4,5,6,10,11,13,14]]; G[6859]:=Group([(2,3)(8,9)(10,11)(13,14)]); # Design 6860: autom. group order 2, simple, residual B[6860]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,7,9,10,12,14],[1,3,5,6,9,11,14],[1,3,7,8,11,12,13],[1,4,5,7,12,13,14],[1,4,6,7,8,10,13],[1,4,6,7,9,11,14],[1,5,8,9,12,13,14],[1,6,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,8,11,12,14],[2,4,6,9,11,12,13],[2,4,7,8,9,11,13],[2,5,6,7,9,10,12],[2,5,7,8,10,11,14],[3,4,5,9,10,12,13],[3,4,6,8,10,12,14],[3,4,7,8,9,10,14],[3,5,6,7,8,11,12],[3,5,7,9,10,11,13],[4,5,6,10,11,13,14]]; G[6860]:=Group([(2,3)(8,9)(10,11)(13,14)]); # Design 6861: autom. group order 2, simple, residual B[6861]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,7,9,10,12,14],[1,3,5,6,9,11,14],[1,3,7,8,11,12,13],[1,4,5,7,12,13,14],[1,4,6,7,8,10,14],[1,4,6,7,9,11,13],[1,5,8,9,12,13,14],[1,6,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,8,11,12,14],[2,4,6,9,11,12,13],[2,4,7,8,9,11,14],[2,5,6,7,9,10,12],[2,5,7,8,10,11,13],[3,4,5,9,10,12,13],[3,4,6,8,10,12,14],[3,4,7,8,9,10,13],[3,5,6,7,8,11,12],[3,5,7,9,10,11,14],[4,5,6,10,11,13,14]]; G[6861]:=Group([(2,3)(8,9)(10,11)(13,14)]); # Design 6862: autom. group order 2, simple, residual B[6862]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,7,9,10,12,14],[1,3,5,6,9,11,14],[1,3,7,8,11,12,13],[1,4,5,7,12,13,14],[1,4,6,7,8,11,13],[1,4,6,7,9,10,14],[1,5,8,9,12,13,14],[1,6,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,8,11,12,14],[2,4,6,9,11,12,13],[2,4,7,8,9,10,13],[2,5,6,7,9,11,12],[2,5,7,8,10,11,14],[3,4,5,9,10,12,13],[3,4,6,8,10,12,14],[3,4,7,8,9,11,14],[3,5,6,7,8,10,12],[3,5,7,9,10,11,13],[4,5,6,10,11,13,14]]; G[6862]:=Group([(2,3)(8,9)(10,11)(13,14)]); # Design 6863: autom. group order 2, simple, residual B[6863]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,7,9,11,12,13],[1,3,5,6,9,11,14],[1,3,7,8,10,12,14],[1,4,5,7,12,13,14],[1,4,6,7,8,11,13],[1,4,6,7,9,10,14],[1,5,8,9,12,13,14],[1,6,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,8,11,12,14],[2,4,6,9,10,12,14],[2,4,7,8,9,10,13],[2,5,6,7,9,11,12],[2,5,7,8,10,11,14],[3,4,5,9,10,12,13],[3,4,6,8,11,12,13],[3,4,7,8,9,11,14],[3,5,6,7,8,10,12],[3,5,7,9,10,11,13],[4,5,6,10,11,13,14]]; G[6863]:=Group([(2,3)(8,9)(10,11)(13,14)]); # Design 6864: autom. group order 2, simple, residual B[6864]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,7,9,11,12,13],[1,3,5,6,9,11,14],[1,3,7,8,10,12,14],[1,4,5,7,12,13,14],[1,4,6,7,8,11,14],[1,4,6,7,9,10,13],[1,5,8,9,12,13,14],[1,6,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,8,11,12,14],[2,4,6,9,10,12,14],[2,4,7,8,9,10,14],[2,5,6,7,9,11,12],[2,5,7,8,10,11,13],[3,4,5,9,10,12,13],[3,4,6,8,11,12,13],[3,4,7,8,9,11,13],[3,5,6,7,8,10,12],[3,5,7,9,10,11,14],[4,5,6,10,11,13,14]]; G[6864]:=Group([(2,3)(8,9)(10,11)(13,14)]); # Design 6865: autom. group order 2, simple, residual B[6865]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,7,9,11,12,14],[1,3,5,6,9,11,14],[1,3,7,8,10,12,13],[1,4,5,7,12,13,14],[1,4,6,7,8,11,14],[1,4,6,7,9,10,13],[1,5,8,9,12,13,14],[1,6,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,8,11,12,13],[2,4,6,9,11,12,13],[2,4,7,8,9,10,14],[2,5,6,7,9,10,12],[2,5,7,8,10,11,14],[3,4,5,9,10,12,14],[3,4,6,8,10,12,14],[3,4,7,8,9,11,13],[3,5,6,7,8,11,12],[3,5,7,9,10,11,13],[4,5,6,10,11,13,14]]; G[6865]:=Group([(2,3)(8,9)(10,11)(13,14)]); # Design 6866: autom. group order 2, simple, residual B[6866]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,7,9,10,12,14],[1,3,5,6,9,11,14],[1,3,7,8,11,12,13],[1,4,5,7,12,13,14],[1,4,6,7,8,11,13],[1,4,6,7,9,10,14],[1,5,8,9,12,13,14],[1,6,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,8,11,12,14],[2,4,6,9,11,12,13],[2,4,7,8,9,11,14],[2,5,6,7,8,10,12],[2,5,7,9,10,11,13],[3,4,5,9,10,12,13],[3,4,6,8,10,12,14],[3,4,7,8,9,10,13],[3,5,6,7,9,11,12],[3,5,7,8,10,11,14],[4,5,6,10,11,13,14]]; G[6866]:=Group([(2,3)(8,9)(10,11)(13,14)]); # Design 6867: autom. group order 2, simple, residual B[6867]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,7,9,11,12,13],[1,3,5,6,9,11,14],[1,3,7,8,10,12,14],[1,4,5,7,12,13,14],[1,4,6,7,8,10,14],[1,4,6,7,9,11,13],[1,5,8,9,12,13,14],[1,6,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,8,11,12,14],[2,4,6,9,10,12,14],[2,4,7,8,9,10,13],[2,5,6,7,8,11,12],[2,5,7,9,10,11,14],[3,4,5,9,10,12,13],[3,4,6,8,11,12,13],[3,4,7,8,9,11,14],[3,5,6,7,9,10,12],[3,5,7,8,10,11,13],[4,5,6,10,11,13,14]]; G[6867]:=Group([(2,3)(8,9)(10,11)(13,14)]); # Design 6868: autom. group order 2, simple, residual B[6868]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,7,9,10,12,13],[1,3,5,6,9,11,14],[1,3,7,8,11,12,14],[1,4,5,7,12,13,14],[1,4,6,7,8,11,13],[1,4,6,7,9,10,14],[1,5,8,9,12,13,14],[1,6,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,8,10,12,14],[2,4,6,8,11,12,14],[2,4,7,8,9,11,13],[2,5,6,7,9,11,12],[2,5,7,9,10,11,14],[3,4,5,9,11,12,13],[3,4,6,9,10,12,13],[3,4,7,8,9,10,14],[3,5,6,7,8,10,12],[3,5,7,8,10,11,13],[4,5,6,10,11,13,14]]; G[6868]:=Group([(2,3)(8,9)(10,11)(13,14)]); # Design 6869: autom. group order 2, simple, residual B[6869]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,7,9,10,12,14],[1,3,5,7,9,11,14],[1,3,6,8,11,12,13],[1,4,5,6,7,13,14],[1,4,6,9,10,12,13],[1,4,7,8,11,12,14],[1,5,8,9,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,6,7,12,13,14],[2,4,5,8,10,12,14],[2,4,6,8,9,11,14],[2,4,6,9,11,13,14],[2,5,7,8,11,12,13],[2,5,7,9,10,11,13],[3,4,5,9,11,12,13],[3,4,7,8,9,10,13],[3,4,7,8,10,13,14],[3,5,6,8,10,11,14],[3,5,6,9,10,12,14],[4,5,6,7,10,11,12]]; G[6869]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6870: autom. group order 2, simple, residual B[6870]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,7,9,10,12,14],[1,3,5,7,9,11,14],[1,3,6,8,11,12,13],[1,4,5,6,7,13,14],[1,4,6,8,10,12,14],[1,4,7,9,11,12,13],[1,5,8,9,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,6,7,12,13,14],[2,4,5,9,10,12,13],[2,4,6,8,9,11,14],[2,4,6,9,11,13,14],[2,5,7,8,10,11,14],[2,5,7,8,11,12,13],[3,4,5,8,11,12,14],[3,4,7,8,9,10,13],[3,4,7,8,10,13,14],[3,5,6,9,10,11,13],[3,5,6,9,10,12,14],[4,5,6,7,10,11,12]]; G[6870]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6871: autom. group order 2, simple, residual B[6871]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,7,9,10,12,13],[1,3,5,7,9,11,14],[1,3,6,8,11,12,14],[1,4,5,6,7,13,14],[1,4,6,9,10,12,14],[1,4,7,8,11,12,13],[1,5,8,9,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,6,7,12,13,14],[2,4,5,9,11,12,13],[2,4,6,8,11,13,14],[2,4,7,8,9,11,14],[2,5,6,9,10,11,14],[2,5,7,8,10,12,14],[3,4,5,8,10,12,14],[3,4,6,8,9,10,13],[3,4,7,9,10,13,14],[3,5,6,9,11,12,13],[3,5,7,8,10,11,13],[4,5,6,7,10,11,12]]; G[6871]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6872: autom. group order 2, simple, residual B[6872]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,7,9,10,12,13],[1,3,5,7,9,11,14],[1,3,6,8,11,12,14],[1,4,5,6,7,13,14],[1,4,6,9,11,12,13],[1,4,7,8,10,12,14],[1,5,8,9,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,6,7,12,13,14],[2,4,5,9,11,12,14],[2,4,6,8,11,13,14],[2,4,7,8,9,11,13],[2,5,6,9,10,12,14],[2,5,7,8,10,11,14],[3,4,5,8,10,12,13],[3,4,6,8,9,10,14],[3,4,7,9,10,13,14],[3,5,6,9,10,11,13],[3,5,7,8,11,12,13],[4,5,6,7,10,11,12]]; G[6872]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6873: autom. group order 2, simple, residual B[6873]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,7,9,11,12,13],[1,3,5,7,9,11,14],[1,3,6,8,10,12,14],[1,4,5,6,7,13,14],[1,4,6,9,11,12,13],[1,4,7,8,10,12,14],[1,5,8,9,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,6,7,12,13,14],[2,4,5,9,10,12,14],[2,4,6,8,11,13,14],[2,4,7,8,9,10,13],[2,5,6,9,10,11,14],[2,5,7,8,11,12,14],[3,4,5,8,11,12,13],[3,4,6,8,9,11,14],[3,4,7,9,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,7,10,11,12]]; G[6873]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6874: autom. group order 2, simple, residual B[6874]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,7,9,10,12,13],[1,3,5,7,9,11,14],[1,3,6,8,11,12,14],[1,4,5,6,7,13,14],[1,4,6,9,10,12,14],[1,4,7,8,11,12,13],[1,5,8,9,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,6,7,12,13,14],[2,4,5,8,11,12,14],[2,4,6,8,9,11,13],[2,4,7,9,11,13,14],[2,5,6,9,10,11,14],[2,5,7,8,10,12,14],[3,4,5,9,10,12,13],[3,4,6,8,10,13,14],[3,4,7,8,9,10,14],[3,5,6,9,11,12,13],[3,5,7,8,10,11,13],[4,5,6,7,10,11,12]]; G[6874]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6875: autom. group order 2, simple, residual B[6875]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,7,9,11,12,13],[1,3,5,7,9,11,14],[1,3,6,8,10,12,14],[1,4,5,6,7,13,14],[1,4,6,9,11,12,14],[1,4,7,8,10,12,13],[1,5,8,9,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,6,7,12,13,14],[2,4,5,8,11,12,14],[2,4,6,8,9,11,13],[2,4,7,9,10,13,14],[2,5,6,9,10,12,14],[2,5,7,8,10,11,14],[3,4,5,9,10,12,13],[3,4,6,8,11,13,14],[3,4,7,8,9,10,14],[3,5,6,9,10,11,13],[3,5,7,8,11,12,13],[4,5,6,7,10,11,12]]; G[6875]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6876: autom. group order 2, simple, residual B[6876]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,7,9,10,12,13],[1,3,5,7,9,11,14],[1,3,6,8,11,12,14],[1,4,5,6,7,13,14],[1,4,6,8,11,12,13],[1,4,7,9,10,12,14],[1,5,8,9,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,6,7,12,13,14],[2,4,5,9,11,12,13],[2,4,6,8,9,10,14],[2,4,7,8,11,13,14],[2,5,6,9,11,12,14],[2,5,7,8,10,11,14],[3,4,5,8,10,12,14],[3,4,6,9,10,13,14],[3,4,7,8,9,11,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,7,10,11,12]]; G[6876]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6877: autom. group order 2, simple, residual B[6877]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,7,9,11,12,13],[1,3,5,7,9,11,14],[1,3,6,8,10,12,14],[1,4,5,6,7,13,14],[1,4,6,8,11,12,14],[1,4,7,9,10,12,13],[1,5,8,9,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,6,7,12,13,14],[2,4,5,9,10,12,14],[2,4,6,8,9,11,13],[2,4,7,8,10,13,14],[2,5,6,9,10,11,14],[2,5,7,8,11,12,14],[3,4,5,8,11,12,13],[3,4,6,9,11,13,14],[3,4,7,8,9,10,14],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,7,10,11,12]]; G[6877]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6878: autom. group order 2, simple, residual B[6878]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,7,9,11,12,13],[1,3,5,7,9,11,14],[1,3,6,8,10,12,14],[1,4,5,6,7,13,14],[1,4,6,8,11,12,13],[1,4,7,9,10,12,14],[1,5,8,9,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,6,7,12,13,14],[2,4,5,9,10,12,13],[2,4,6,8,9,11,14],[2,4,7,8,11,13,14],[2,5,6,9,10,11,14],[2,5,7,8,10,12,14],[3,4,5,8,11,12,14],[3,4,6,9,10,13,14],[3,4,7,8,9,10,13],[3,5,6,9,11,12,13],[3,5,7,8,10,11,13],[4,5,6,7,10,11,12]]; G[6878]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6879: autom. group order 2, simple, residual B[6879]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,7,9,10,12,13],[1,3,5,7,9,11,14],[1,3,6,8,11,12,14],[1,4,5,6,7,13,14],[1,4,6,8,10,12,14],[1,4,7,9,11,12,13],[1,5,8,9,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,6,7,12,13,14],[2,4,5,8,11,12,13],[2,4,6,9,11,13,14],[2,4,7,8,9,10,14],[2,5,6,9,10,11,14],[2,5,7,8,11,12,14],[3,4,5,9,10,12,14],[3,4,6,8,9,11,13],[3,4,7,8,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,5,6,7,10,11,12]]; G[6879]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6880: autom. group order 2, simple, residual B[6880]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,7,9,11,12,13],[1,3,5,7,9,11,14],[1,3,6,8,10,12,14],[1,4,5,6,7,13,14],[1,4,6,8,11,12,14],[1,4,7,9,10,12,13],[1,5,8,9,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,6,7,12,13,14],[2,4,5,8,11,12,13],[2,4,6,9,10,13,14],[2,4,7,8,9,10,14],[2,5,6,9,11,12,14],[2,5,7,8,10,11,14],[3,4,5,9,10,12,14],[3,4,6,8,9,11,13],[3,4,7,8,11,13,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,7,10,11,12]]; G[6880]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6881: autom. group order 2, simple, residual B[6881]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,7,9,11,12,13],[1,3,5,7,9,11,14],[1,3,6,8,10,12,14],[1,4,5,6,7,13,14],[1,4,6,8,11,12,13],[1,4,7,9,10,12,14],[1,5,8,9,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,6,7,12,13,14],[2,4,5,8,11,12,14],[2,4,6,9,11,13,14],[2,4,7,8,9,10,13],[2,5,6,9,10,12,14],[2,5,7,8,10,11,14],[3,4,5,9,10,12,13],[3,4,6,8,9,11,14],[3,4,7,8,10,13,14],[3,5,6,9,10,11,13],[3,5,7,8,11,12,13],[4,5,6,7,10,11,12]]; G[6881]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6882: autom. group order 2, simple, residual B[6882]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,7,9,10,12,14],[1,3,5,7,9,11,14],[1,3,6,8,11,12,13],[1,4,5,6,7,13,14],[1,4,6,9,11,12,13],[1,4,7,8,10,12,14],[1,5,8,9,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,6,7,12,13,14],[2,4,5,9,10,12,13],[2,4,7,8,9,11,13],[2,4,7,8,11,13,14],[2,5,6,8,10,11,14],[2,5,6,9,11,12,14],[3,4,5,8,11,12,14],[3,4,6,8,9,10,14],[3,4,6,9,10,13,14],[3,5,7,8,10,12,13],[3,5,7,9,10,11,13],[4,5,6,7,10,11,12]]; G[6882]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6883: autom. group order 2, simple, residual B[6883]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,7,9,10,12,14],[1,3,5,7,9,11,14],[1,3,6,8,11,12,13],[1,4,5,6,7,13,14],[1,4,6,8,11,12,14],[1,4,7,9,10,12,13],[1,5,8,9,12,13,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,6,7,12,13,14],[2,4,5,8,10,12,14],[2,4,7,8,9,11,13],[2,4,7,8,11,13,14],[2,5,6,9,10,11,13],[2,5,6,9,11,12,14],[3,4,5,9,11,12,13],[3,4,6,8,9,10,14],[3,4,6,9,10,13,14],[3,5,7,8,10,11,14],[3,5,7,8,10,12,13],[4,5,6,7,10,11,12]]; G[6883]:=Group([(2,3)(6,7)(8,9)(10,11)(13,14)]); # Design 6884: autom. group order 2, simple B[6884]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,10,11,12,13],[1,2,6,8,10,12,14],[1,3,5,9,11,12,14],[1,3,6,8,9,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,13,14],[1,4,7,9,10,12,13],[1,5,6,7,9,10,14],[1,5,6,8,11,13,14],[2,3,7,9,10,13,14],[2,3,8,9,10,11,14],[2,4,5,7,11,12,14],[2,4,5,8,9,12,13],[2,4,6,9,11,13,14],[2,5,6,7,8,10,13],[2,6,7,8,9,11,12],[3,4,5,8,10,13,14],[3,4,6,7,8,12,14],[3,4,6,10,11,12,13],[3,5,6,7,9,11,13],[3,5,7,8,10,11,12],[4,5,6,9,10,12,14]]; G[6884]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6885: autom. group order 2, simple B[6885]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,10,11,12,13],[1,2,6,8,10,12,14],[1,3,5,9,11,12,14],[1,3,6,8,9,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,13,14],[1,4,7,9,10,12,14],[1,5,6,7,9,10,13],[1,5,6,8,11,13,14],[2,3,7,9,10,13,14],[2,3,8,9,10,11,13],[2,4,5,7,11,12,13],[2,4,5,8,9,12,14],[2,4,6,9,11,13,14],[2,5,6,7,8,10,14],[2,6,7,8,9,11,12],[3,4,5,8,10,13,14],[3,4,6,7,8,12,13],[3,4,6,10,11,12,14],[3,5,6,7,9,11,14],[3,5,7,8,10,11,12],[4,5,6,9,10,12,13]]; G[6885]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6886: autom. group order 2, simple B[6886]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,10,11,12,13],[1,2,6,8,10,12,14],[1,3,5,9,11,12,14],[1,3,6,8,9,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,13,14],[1,4,7,9,10,12,13],[1,5,6,7,9,10,14],[1,5,6,8,11,13,14],[2,3,7,9,10,13,14],[2,3,8,9,10,11,14],[2,4,5,7,11,12,14],[2,4,5,8,9,13,14],[2,4,6,9,11,12,13],[2,5,6,7,8,10,13],[2,6,7,8,9,11,12],[3,4,5,8,10,12,13],[3,4,6,7,8,12,14],[3,4,6,10,11,13,14],[3,5,6,7,9,11,13],[3,5,7,8,10,11,12],[4,5,6,9,10,12,14]]; G[6886]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6887: autom. group order 2, simple B[6887]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,10,11,12,13],[1,2,6,8,10,12,14],[1,3,5,9,11,12,14],[1,3,6,8,9,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,13,14],[1,4,7,9,10,12,14],[1,5,6,7,9,10,13],[1,5,6,8,11,13,14],[2,3,7,9,10,13,14],[2,3,8,9,10,11,13],[2,4,5,7,11,12,13],[2,4,5,8,9,13,14],[2,4,6,9,11,12,14],[2,5,6,7,8,10,14],[2,6,7,8,9,11,12],[3,4,5,8,10,12,14],[3,4,6,7,8,12,13],[3,4,6,10,11,13,14],[3,5,6,7,9,11,14],[3,5,7,8,10,11,12],[4,5,6,9,10,12,13]]; G[6887]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6888: autom. group order 2, simple B[6888]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,10,11,12,13],[1,2,6,8,10,12,14],[1,3,5,9,11,12,14],[1,3,6,8,9,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,7,8,11,14],[1,5,6,9,10,13,14],[2,3,7,8,11,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,12,14],[2,4,5,8,9,12,13],[2,4,6,9,11,13,14],[2,5,6,7,9,11,13],[2,6,7,8,9,10,12],[3,4,5,8,10,13,14],[3,4,6,7,9,12,14],[3,4,6,10,11,12,13],[3,5,6,7,8,10,13],[3,5,7,9,10,11,12],[4,5,6,8,11,12,14]]; G[6888]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6889: autom. group order 2, simple B[6889]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,10,11,12,13],[1,2,6,8,10,12,14],[1,3,5,9,11,12,14],[1,3,6,8,9,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,12,14],[1,4,7,9,10,13,14],[1,5,6,7,8,11,13],[1,5,6,9,10,13,14],[2,3,7,8,11,13,14],[2,3,8,9,10,11,13],[2,4,5,7,10,12,13],[2,4,5,8,9,12,14],[2,4,6,9,11,13,14],[2,5,6,7,9,11,14],[2,6,7,8,9,10,12],[3,4,5,8,10,13,14],[3,4,6,7,9,12,13],[3,4,6,10,11,12,14],[3,5,6,7,8,10,14],[3,5,7,9,10,11,12],[4,5,6,8,11,12,13]]; G[6889]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6890: autom. group order 2, simple B[6890]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,10,11,12,13],[1,2,6,8,10,12,14],[1,3,5,9,11,12,14],[1,3,6,8,9,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,7,8,11,14],[1,5,6,9,10,13,14],[2,3,7,8,11,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,12,14],[2,4,5,8,9,13,14],[2,4,6,9,11,12,13],[2,5,6,7,9,11,13],[2,6,7,8,9,10,12],[3,4,5,8,10,12,13],[3,4,6,7,9,12,14],[3,4,6,10,11,13,14],[3,5,6,7,8,10,13],[3,5,7,9,10,11,12],[4,5,6,8,11,12,14]]; G[6890]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6891: autom. group order 2, simple B[6891]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,10,11,12,13],[1,2,6,8,10,12,14],[1,3,5,9,11,12,14],[1,3,6,8,9,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,12,14],[1,4,7,9,10,13,14],[1,5,6,7,8,11,13],[1,5,6,9,10,13,14],[2,3,7,8,11,13,14],[2,3,8,9,10,11,13],[2,4,5,7,10,12,13],[2,4,5,8,9,13,14],[2,4,6,9,11,12,14],[2,5,6,7,9,11,14],[2,6,7,8,9,10,12],[3,4,5,8,10,12,14],[3,4,6,7,9,12,13],[3,4,6,10,11,13,14],[3,5,6,7,8,10,14],[3,5,7,9,10,11,12],[4,5,6,8,11,12,13]]; G[6891]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6892: autom. group order 2, simple B[6892]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,10,11,12,13],[1,2,6,8,9,12,14],[1,3,5,10,11,12,14],[1,3,6,8,9,12,13],[1,4,7,8,9,10,11],[1,4,7,8,10,12,13],[1,4,7,9,11,13,14],[1,5,6,7,8,10,14],[1,5,6,9,11,13,14],[2,3,7,8,10,13,14],[2,3,8,9,10,11,14],[2,4,5,7,9,12,14],[2,4,5,8,11,12,13],[2,4,6,8,11,13,14],[2,5,6,7,9,10,13],[2,6,7,9,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,11,12,14],[3,4,6,9,10,12,13],[3,5,6,7,8,11,13],[3,5,7,8,9,11,12],[4,5,6,8,10,12,14]]; G[6892]:=Group([(2,3)(5,6)(8,10)(9,11)]); # Design 6893: autom. group order 2, simple B[6893]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,10,11,12,13],[1,2,6,8,9,12,14],[1,3,5,10,11,12,14],[1,3,6,8,9,12,13],[1,4,7,8,9,10,11],[1,4,7,8,10,12,14],[1,4,7,9,11,13,14],[1,5,6,7,8,10,13],[1,5,6,9,11,13,14],[2,3,7,8,10,13,14],[2,3,8,9,10,11,13],[2,4,5,7,9,12,13],[2,4,5,8,11,12,14],[2,4,6,8,11,13,14],[2,5,6,7,9,10,14],[2,6,7,9,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,11,12,13],[3,4,6,9,10,12,14],[3,5,6,7,8,11,14],[3,5,7,8,9,11,12],[4,5,6,8,10,12,13]]; G[6893]:=Group([(2,3)(5,6)(8,10)(9,11)]); # Design 6894: autom. group order 2, simple B[6894]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,10,11,12,13],[1,2,6,8,9,12,14],[1,3,5,10,11,12,14],[1,3,6,8,9,12,13],[1,4,7,8,9,10,11],[1,4,7,8,10,12,13],[1,4,7,9,11,13,14],[1,5,6,7,8,10,14],[1,5,6,9,11,13,14],[2,3,7,8,10,13,14],[2,3,8,9,10,11,14],[2,4,5,7,9,12,14],[2,4,5,8,11,13,14],[2,4,6,8,11,12,13],[2,5,6,7,9,10,13],[2,6,7,9,10,11,12],[3,4,5,9,10,12,13],[3,4,6,7,11,12,14],[3,4,6,9,10,13,14],[3,5,6,7,8,11,13],[3,5,7,8,9,11,12],[4,5,6,8,10,12,14]]; G[6894]:=Group([(2,3)(5,6)(8,10)(9,11)]); # Design 6895: autom. group order 2, simple B[6895]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,10,11,12,13],[1,2,6,8,9,12,14],[1,3,5,10,11,12,14],[1,3,6,8,9,12,13],[1,4,7,8,9,10,11],[1,4,7,8,10,12,14],[1,4,7,9,11,13,14],[1,5,6,7,8,10,13],[1,5,6,9,11,13,14],[2,3,7,8,10,13,14],[2,3,8,9,10,11,13],[2,4,5,7,9,12,13],[2,4,5,8,11,13,14],[2,4,6,8,11,12,14],[2,5,6,7,9,10,14],[2,6,7,9,10,11,12],[3,4,5,9,10,12,14],[3,4,6,7,11,12,13],[3,4,6,9,10,13,14],[3,5,6,7,8,11,14],[3,5,7,8,9,11,12],[4,5,6,8,10,12,13]]; G[6895]:=Group([(2,3)(5,6)(8,10)(9,11)]); # Design 6896: autom. group order 2, simple B[6896]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,10,11,12,13],[1,2,6,8,10,12,14],[1,3,5,9,11,12,14],[1,3,6,8,9,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,12,14],[1,4,7,9,10,13,14],[1,5,6,7,8,11,13],[1,5,6,9,10,13,14],[2,3,7,8,11,13,14],[2,3,8,9,10,11,13],[2,4,5,7,9,12,13],[2,4,5,8,10,12,14],[2,4,6,8,9,13,14],[2,5,6,7,9,11,14],[2,6,7,9,10,11,12],[3,4,5,10,11,13,14],[3,4,6,7,10,12,13],[3,4,6,9,11,12,14],[3,5,6,7,8,10,14],[3,5,7,8,9,10,12],[4,5,6,8,11,12,13]]; G[6896]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6897: autom. group order 2, simple B[6897]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,10,11,12,13],[1,2,6,8,10,12,14],[1,3,5,9,11,12,14],[1,3,6,8,9,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,12,14],[1,4,7,9,10,13,14],[1,5,6,7,8,11,13],[1,5,6,9,10,13,14],[2,3,7,8,11,13,14],[2,3,8,9,10,11,13],[2,4,5,7,9,12,13],[2,4,5,8,10,13,14],[2,4,6,8,9,12,14],[2,5,6,7,9,11,14],[2,6,7,9,10,11,12],[3,4,5,10,11,12,14],[3,4,6,7,10,12,13],[3,4,6,9,11,13,14],[3,5,6,7,8,10,14],[3,5,7,8,9,10,12],[4,5,6,8,11,12,13]]; G[6897]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6898: autom. group order 2, simple B[6898]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,6,10,11,12,14],[1,3,5,8,9,12,14],[1,3,6,9,11,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,13,14],[1,4,7,9,10,12,13],[1,5,6,7,9,10,14],[1,5,6,8,11,13,14],[2,3,7,9,10,13,14],[2,3,8,9,10,11,14],[2,4,5,7,11,12,14],[2,4,5,9,11,12,13],[2,4,6,8,9,13,14],[2,5,6,7,8,10,13],[2,6,7,8,9,11,12],[3,4,5,10,11,13,14],[3,4,6,7,8,12,14],[3,4,6,8,10,12,13],[3,5,6,7,9,11,13],[3,5,7,8,10,11,12],[4,5,6,9,10,12,14]]; G[6898]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6899: autom. group order 2, simple B[6899]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,6,10,11,12,14],[1,3,5,8,9,12,14],[1,3,6,9,11,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,13,14],[1,4,7,9,10,12,14],[1,5,6,7,9,10,13],[1,5,6,8,11,13,14],[2,3,7,9,10,13,14],[2,3,8,9,10,11,13],[2,4,5,7,11,12,13],[2,4,5,9,11,12,14],[2,4,6,8,9,13,14],[2,5,6,7,8,10,14],[2,6,7,8,9,11,12],[3,4,5,10,11,13,14],[3,4,6,7,8,12,13],[3,4,6,8,10,12,14],[3,5,6,7,9,11,14],[3,5,7,8,10,11,12],[4,5,6,9,10,12,13]]; G[6899]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6900: autom. group order 2, simple B[6900]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,6,10,11,12,14],[1,3,5,8,9,12,14],[1,3,6,9,11,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,13,14],[1,4,7,9,10,12,13],[1,5,6,7,9,10,14],[1,5,6,8,11,13,14],[2,3,7,9,10,13,14],[2,3,8,9,10,11,14],[2,4,5,7,11,12,14],[2,4,5,9,11,13,14],[2,4,6,8,9,12,13],[2,5,6,7,8,10,13],[2,6,7,8,9,11,12],[3,4,5,10,11,12,13],[3,4,6,7,8,12,14],[3,4,6,8,10,13,14],[3,5,6,7,9,11,13],[3,5,7,8,10,11,12],[4,5,6,9,10,12,14]]; G[6900]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6901: autom. group order 2, simple B[6901]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,6,10,11,12,14],[1,3,5,8,9,12,14],[1,3,6,9,11,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,13,14],[1,4,7,9,10,12,14],[1,5,6,7,9,10,13],[1,5,6,8,11,13,14],[2,3,7,9,10,13,14],[2,3,8,9,10,11,13],[2,4,5,7,11,12,13],[2,4,5,9,11,13,14],[2,4,6,8,9,12,14],[2,5,6,7,8,10,14],[2,6,7,8,9,11,12],[3,4,5,10,11,12,14],[3,4,6,7,8,12,13],[3,4,6,8,10,13,14],[3,5,6,7,9,11,14],[3,5,7,8,10,11,12],[4,5,6,9,10,12,13]]; G[6901]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6902: autom. group order 2, simple B[6902]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,6,10,11,12,14],[1,3,5,8,9,12,14],[1,3,6,9,11,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,7,8,11,14],[1,5,6,9,10,13,14],[2,3,7,8,11,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,12,14],[2,4,5,9,11,12,13],[2,4,6,8,9,13,14],[2,5,6,7,9,11,13],[2,6,7,8,9,10,12],[3,4,5,10,11,13,14],[3,4,6,7,9,12,14],[3,4,6,8,10,12,13],[3,5,6,7,8,10,13],[3,5,7,9,10,11,12],[4,5,6,8,11,12,14]]; G[6902]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6903: autom. group order 2, simple B[6903]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,6,10,11,12,14],[1,3,5,8,9,12,14],[1,3,6,9,11,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,12,14],[1,4,7,9,10,13,14],[1,5,6,7,8,11,13],[1,5,6,9,10,13,14],[2,3,7,8,11,13,14],[2,3,8,9,10,11,13],[2,4,5,7,10,12,13],[2,4,5,9,11,12,14],[2,4,6,8,9,13,14],[2,5,6,7,9,11,14],[2,6,7,8,9,10,12],[3,4,5,10,11,13,14],[3,4,6,7,9,12,13],[3,4,6,8,10,12,14],[3,5,6,7,8,10,14],[3,5,7,9,10,11,12],[4,5,6,8,11,12,13]]; G[6903]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6904: autom. group order 2, simple B[6904]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,6,10,11,12,14],[1,3,5,8,9,12,14],[1,3,6,9,11,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,7,8,11,14],[1,5,6,9,10,13,14],[2,3,7,8,11,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,12,14],[2,4,5,9,11,13,14],[2,4,6,8,9,12,13],[2,5,6,7,9,11,13],[2,6,7,8,9,10,12],[3,4,5,10,11,12,13],[3,4,6,7,9,12,14],[3,4,6,8,10,13,14],[3,5,6,7,8,10,13],[3,5,7,9,10,11,12],[4,5,6,8,11,12,14]]; G[6904]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6905: autom. group order 2, simple B[6905]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,6,10,11,12,14],[1,3,5,8,9,12,14],[1,3,6,9,11,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,12,14],[1,4,7,9,10,13,14],[1,5,6,7,8,11,13],[1,5,6,9,10,13,14],[2,3,7,8,11,13,14],[2,3,8,9,10,11,13],[2,4,5,7,10,12,13],[2,4,5,9,11,13,14],[2,4,6,8,9,12,14],[2,5,6,7,9,11,14],[2,6,7,8,9,10,12],[3,4,5,10,11,12,14],[3,4,6,7,9,12,13],[3,4,6,8,10,13,14],[3,5,6,7,8,10,14],[3,5,7,9,10,11,12],[4,5,6,8,11,12,13]]; G[6905]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6906: autom. group order 2, simple B[6906]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,9,12,13],[1,2,6,8,10,12,14],[1,3,5,9,11,12,14],[1,3,6,10,11,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,13,14],[1,4,7,9,10,12,13],[1,5,6,7,9,10,14],[1,5,6,8,11,13,14],[2,3,7,9,10,13,14],[2,3,8,9,10,11,14],[2,4,5,7,11,12,14],[2,4,5,10,11,12,13],[2,4,6,9,11,13,14],[2,5,6,7,8,10,13],[2,6,7,8,9,11,12],[3,4,5,8,10,13,14],[3,4,6,7,8,12,14],[3,4,6,8,9,12,13],[3,5,6,7,9,11,13],[3,5,7,8,10,11,12],[4,5,6,9,10,12,14]]; G[6906]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6907: autom. group order 2, simple B[6907]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,9,12,13],[1,2,6,8,10,12,14],[1,3,5,9,11,12,14],[1,3,6,10,11,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,13,14],[1,4,7,9,10,12,14],[1,5,6,7,9,10,13],[1,5,6,8,11,13,14],[2,3,7,9,10,13,14],[2,3,8,9,10,11,13],[2,4,5,7,11,12,13],[2,4,5,10,11,12,14],[2,4,6,9,11,13,14],[2,5,6,7,8,10,14],[2,6,7,8,9,11,12],[3,4,5,8,10,13,14],[3,4,6,7,8,12,13],[3,4,6,8,9,12,14],[3,5,6,7,9,11,14],[3,5,7,8,10,11,12],[4,5,6,9,10,12,13]]; G[6907]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6908: autom. group order 2, simple B[6908]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,9,12,13],[1,2,6,8,10,12,14],[1,3,5,9,11,12,14],[1,3,6,10,11,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,13,14],[1,4,7,9,10,12,13],[1,5,6,7,9,10,14],[1,5,6,8,11,13,14],[2,3,7,9,10,13,14],[2,3,8,9,10,11,14],[2,4,5,7,11,12,14],[2,4,5,10,11,13,14],[2,4,6,9,11,12,13],[2,5,6,7,8,10,13],[2,6,7,8,9,11,12],[3,4,5,8,10,12,13],[3,4,6,7,8,12,14],[3,4,6,8,9,13,14],[3,5,6,7,9,11,13],[3,5,7,8,10,11,12],[4,5,6,9,10,12,14]]; G[6908]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6909: autom. group order 2, simple B[6909]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,9,12,13],[1,2,6,8,10,12,14],[1,3,5,9,11,12,14],[1,3,6,10,11,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,13,14],[1,4,7,9,10,12,14],[1,5,6,7,9,10,13],[1,5,6,8,11,13,14],[2,3,7,9,10,13,14],[2,3,8,9,10,11,13],[2,4,5,7,11,12,13],[2,4,5,10,11,13,14],[2,4,6,9,11,12,14],[2,5,6,7,8,10,14],[2,6,7,8,9,11,12],[3,4,5,8,10,12,14],[3,4,6,7,8,12,13],[3,4,6,8,9,13,14],[3,5,6,7,9,11,14],[3,5,7,8,10,11,12],[4,5,6,9,10,12,13]]; G[6909]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6910: autom. group order 2, simple B[6910]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,6,8,9,12,14],[1,3,5,10,11,12,14],[1,3,6,9,11,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,13,14],[1,4,7,9,10,12,13],[1,5,6,7,9,10,14],[1,5,6,8,11,13,14],[2,3,7,9,10,13,14],[2,3,8,9,10,11,14],[2,4,5,7,11,12,14],[2,4,5,9,11,12,13],[2,4,6,10,11,13,14],[2,5,6,7,8,10,13],[2,6,7,8,9,11,12],[3,4,5,8,9,13,14],[3,4,6,7,8,12,14],[3,4,6,8,10,12,13],[3,5,6,7,9,11,13],[3,5,7,8,10,11,12],[4,5,6,9,10,12,14]]; G[6910]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6911: autom. group order 2, simple B[6911]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,6,8,9,12,14],[1,3,5,10,11,12,14],[1,3,6,9,11,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,13,14],[1,4,7,9,10,12,14],[1,5,6,7,9,10,13],[1,5,6,8,11,13,14],[2,3,7,9,10,13,14],[2,3,8,9,10,11,13],[2,4,5,7,11,12,13],[2,4,5,9,11,12,14],[2,4,6,10,11,13,14],[2,5,6,7,8,10,14],[2,6,7,8,9,11,12],[3,4,5,8,9,13,14],[3,4,6,7,8,12,13],[3,4,6,8,10,12,14],[3,5,6,7,9,11,14],[3,5,7,8,10,11,12],[4,5,6,9,10,12,13]]; G[6911]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6912: autom. group order 2, simple B[6912]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,6,8,9,12,14],[1,3,5,10,11,12,14],[1,3,6,9,11,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,13,14],[1,4,7,9,10,12,13],[1,5,6,7,9,10,14],[1,5,6,8,11,13,14],[2,3,7,9,10,13,14],[2,3,8,9,10,11,14],[2,4,5,7,11,12,14],[2,4,5,9,11,13,14],[2,4,6,10,11,12,13],[2,5,6,7,8,10,13],[2,6,7,8,9,11,12],[3,4,5,8,9,12,13],[3,4,6,7,8,12,14],[3,4,6,8,10,13,14],[3,5,6,7,9,11,13],[3,5,7,8,10,11,12],[4,5,6,9,10,12,14]]; G[6912]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6913: autom. group order 2, simple B[6913]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,6,8,9,12,14],[1,3,5,10,11,12,14],[1,3,6,9,11,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,13,14],[1,4,7,9,10,12,14],[1,5,6,7,9,10,13],[1,5,6,8,11,13,14],[2,3,7,9,10,13,14],[2,3,8,9,10,11,13],[2,4,5,7,11,12,13],[2,4,5,9,11,13,14],[2,4,6,10,11,12,14],[2,5,6,7,8,10,14],[2,6,7,8,9,11,12],[3,4,5,8,9,12,14],[3,4,6,7,8,12,13],[3,4,6,8,10,13,14],[3,5,6,7,9,11,14],[3,5,7,8,10,11,12],[4,5,6,9,10,12,13]]; G[6913]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6914: autom. group order 2, simple B[6914]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,9,12,13],[1,2,6,8,10,12,14],[1,3,5,9,11,12,14],[1,3,6,10,11,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,7,8,11,14],[1,5,6,9,10,13,14],[2,3,7,8,11,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,12,14],[2,4,5,10,11,12,13],[2,4,6,9,11,13,14],[2,5,6,7,9,11,13],[2,6,7,8,9,10,12],[3,4,5,8,10,13,14],[3,4,6,7,9,12,14],[3,4,6,8,9,12,13],[3,5,6,7,8,10,13],[3,5,7,9,10,11,12],[4,5,6,8,11,12,14]]; G[6914]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6915: autom. group order 2, simple B[6915]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,9,12,13],[1,2,6,8,10,12,14],[1,3,5,9,11,12,14],[1,3,6,10,11,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,12,14],[1,4,7,9,10,13,14],[1,5,6,7,8,11,13],[1,5,6,9,10,13,14],[2,3,7,8,11,13,14],[2,3,8,9,10,11,13],[2,4,5,7,10,12,13],[2,4,5,10,11,12,14],[2,4,6,9,11,13,14],[2,5,6,7,9,11,14],[2,6,7,8,9,10,12],[3,4,5,8,10,13,14],[3,4,6,7,9,12,13],[3,4,6,8,9,12,14],[3,5,6,7,8,10,14],[3,5,7,9,10,11,12],[4,5,6,8,11,12,13]]; G[6915]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6916: autom. group order 2, simple B[6916]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,9,12,13],[1,2,6,8,10,12,14],[1,3,5,9,11,12,14],[1,3,6,10,11,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,7,8,11,14],[1,5,6,9,10,13,14],[2,3,7,8,11,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,12,14],[2,4,5,10,11,13,14],[2,4,6,9,11,12,13],[2,5,6,7,9,11,13],[2,6,7,8,9,10,12],[3,4,5,8,10,12,13],[3,4,6,7,9,12,14],[3,4,6,8,9,13,14],[3,5,6,7,8,10,13],[3,5,7,9,10,11,12],[4,5,6,8,11,12,14]]; G[6916]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6917: autom. group order 2, simple B[6917]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,9,12,13],[1,2,6,8,10,12,14],[1,3,5,9,11,12,14],[1,3,6,10,11,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,12,14],[1,4,7,9,10,13,14],[1,5,6,7,8,11,13],[1,5,6,9,10,13,14],[2,3,7,8,11,13,14],[2,3,8,9,10,11,13],[2,4,5,7,10,12,13],[2,4,5,10,11,13,14],[2,4,6,9,11,12,14],[2,5,6,7,9,11,14],[2,6,7,8,9,10,12],[3,4,5,8,10,12,14],[3,4,6,7,9,12,13],[3,4,6,8,9,13,14],[3,5,6,7,8,10,14],[3,5,7,9,10,11,12],[4,5,6,8,11,12,13]]; G[6917]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6918: autom. group order 2, simple B[6918]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,6,8,9,12,14],[1,3,5,10,11,12,14],[1,3,6,9,11,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,7,8,11,14],[1,5,6,9,10,13,14],[2,3,7,8,11,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,12,14],[2,4,5,9,11,12,13],[2,4,6,10,11,13,14],[2,5,6,7,9,11,13],[2,6,7,8,9,10,12],[3,4,5,8,9,13,14],[3,4,6,7,9,12,14],[3,4,6,8,10,12,13],[3,5,6,7,8,10,13],[3,5,7,9,10,11,12],[4,5,6,8,11,12,14]]; G[6918]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6919: autom. group order 2, simple B[6919]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,6,8,9,12,14],[1,3,5,10,11,12,14],[1,3,6,9,11,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,12,14],[1,4,7,9,10,13,14],[1,5,6,7,8,11,13],[1,5,6,9,10,13,14],[2,3,7,8,11,13,14],[2,3,8,9,10,11,13],[2,4,5,7,10,12,13],[2,4,5,9,11,12,14],[2,4,6,10,11,13,14],[2,5,6,7,9,11,14],[2,6,7,8,9,10,12],[3,4,5,8,9,13,14],[3,4,6,7,9,12,13],[3,4,6,8,10,12,14],[3,5,6,7,8,10,14],[3,5,7,9,10,11,12],[4,5,6,8,11,12,13]]; G[6919]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6920: autom. group order 2, simple B[6920]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,6,8,9,12,14],[1,3,5,10,11,12,14],[1,3,6,9,11,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,7,8,11,14],[1,5,6,9,10,13,14],[2,3,7,8,11,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,12,14],[2,4,5,9,11,13,14],[2,4,6,10,11,12,13],[2,5,6,7,9,11,13],[2,6,7,8,9,10,12],[3,4,5,8,9,12,13],[3,4,6,7,9,12,14],[3,4,6,8,10,13,14],[3,5,6,7,8,10,13],[3,5,7,9,10,11,12],[4,5,6,8,11,12,14]]; G[6920]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6921: autom. group order 2, simple B[6921]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,6,8,9,12,14],[1,3,5,10,11,12,14],[1,3,6,9,11,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,12,14],[1,4,7,9,10,13,14],[1,5,6,7,8,11,13],[1,5,6,9,10,13,14],[2,3,7,8,11,13,14],[2,3,8,9,10,11,13],[2,4,5,7,10,12,13],[2,4,5,9,11,13,14],[2,4,6,10,11,12,14],[2,5,6,7,9,11,14],[2,6,7,8,9,10,12],[3,4,5,8,9,12,14],[3,4,6,7,9,12,13],[3,4,6,8,10,13,14],[3,5,6,7,8,10,14],[3,5,7,9,10,11,12],[4,5,6,8,11,12,13]]; G[6921]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6922: autom. group order 2, simple B[6922]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,6,8,9,12,14],[1,3,5,10,11,12,14],[1,3,6,9,11,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,7,8,11,14],[1,5,6,9,10,13,14],[2,3,7,8,11,13,14],[2,3,8,9,10,11,14],[2,4,5,7,9,12,14],[2,4,5,10,11,12,13],[2,4,6,8,10,13,14],[2,5,6,7,9,11,13],[2,6,7,9,10,11,12],[3,4,5,9,11,13,14],[3,4,6,7,10,12,14],[3,4,6,8,9,12,13],[3,5,6,7,8,10,13],[3,5,7,8,9,10,12],[4,5,6,8,11,12,14]]; G[6922]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6923: autom. group order 2, simple B[6923]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,6,8,9,12,14],[1,3,5,10,11,12,14],[1,3,6,9,11,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,12,14],[1,4,7,9,10,13,14],[1,5,6,7,8,11,13],[1,5,6,9,10,13,14],[2,3,7,8,11,13,14],[2,3,8,9,10,11,13],[2,4,5,7,9,12,13],[2,4,5,10,11,12,14],[2,4,6,8,10,13,14],[2,5,6,7,9,11,14],[2,6,7,9,10,11,12],[3,4,5,9,11,13,14],[3,4,6,7,10,12,13],[3,4,6,8,9,12,14],[3,5,6,7,8,10,14],[3,5,7,8,9,10,12],[4,5,6,8,11,12,13]]; G[6923]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6924: autom. group order 2, simple B[6924]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,6,8,9,12,14],[1,3,5,10,11,12,14],[1,3,6,9,11,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,7,8,11,14],[1,5,6,9,10,13,14],[2,3,7,8,11,13,14],[2,3,8,9,10,11,14],[2,4,5,7,9,12,14],[2,4,5,10,11,13,14],[2,4,6,8,10,12,13],[2,5,6,7,9,11,13],[2,6,7,9,10,11,12],[3,4,5,9,11,12,13],[3,4,6,7,10,12,14],[3,4,6,8,9,13,14],[3,5,6,7,8,10,13],[3,5,7,8,9,10,12],[4,5,6,8,11,12,14]]; G[6924]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6925: autom. group order 2, simple B[6925]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,6,8,9,12,14],[1,3,5,10,11,12,14],[1,3,6,9,11,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,12,14],[1,4,7,9,10,13,14],[1,5,6,7,8,11,13],[1,5,6,9,10,13,14],[2,3,7,8,11,13,14],[2,3,8,9,10,11,13],[2,4,5,7,9,12,13],[2,4,5,10,11,13,14],[2,4,6,8,10,12,14],[2,5,6,7,9,11,14],[2,6,7,9,10,11,12],[3,4,5,9,11,12,14],[3,4,6,7,10,12,13],[3,4,6,8,9,13,14],[3,5,6,7,8,10,14],[3,5,7,8,9,10,12],[4,5,6,8,11,12,13]]; G[6925]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6926: autom. group order 2, simple B[6926]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,6,8,10,12,14],[1,3,5,9,11,12,14],[1,3,6,9,11,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,12,14],[1,4,7,9,10,13,14],[1,5,6,7,8,11,13],[1,5,6,9,10,13,14],[2,3,7,8,11,13,14],[2,3,8,9,10,11,13],[2,4,5,7,9,12,13],[2,4,5,10,11,12,14],[2,4,6,8,9,13,14],[2,5,6,7,9,11,14],[2,6,7,9,10,11,12],[3,4,5,10,11,13,14],[3,4,6,7,10,12,13],[3,4,6,8,9,12,14],[3,5,6,7,8,10,14],[3,5,7,8,9,10,12],[4,5,6,8,11,12,13]]; G[6926]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6927: autom. group order 2, simple B[6927]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,6,8,10,12,14],[1,3,5,9,11,12,14],[1,3,6,9,11,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,12,14],[1,4,7,9,10,13,14],[1,5,6,7,8,11,13],[1,5,6,9,10,13,14],[2,3,7,8,11,13,14],[2,3,8,9,10,11,13],[2,4,5,7,9,12,13],[2,4,5,10,11,13,14],[2,4,6,8,9,12,14],[2,5,6,7,9,11,14],[2,6,7,9,10,11,12],[3,4,5,10,11,12,14],[3,4,6,7,10,12,13],[3,4,6,8,9,13,14],[3,5,6,7,8,10,14],[3,5,7,8,9,10,12],[4,5,6,8,11,12,13]]; G[6927]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6928: autom. group order 2, simple B[6928]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,10,11,12,13],[1,2,6,8,10,12,14],[1,3,5,9,11,12,14],[1,3,6,8,9,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,13,14],[1,4,7,9,10,12,13],[1,5,6,7,9,10,14],[1,5,6,8,11,13,14],[2,3,7,9,10,13,14],[2,3,8,9,10,11,14],[2,4,5,8,10,12,13],[2,4,5,9,11,13,14],[2,4,6,7,11,12,14],[2,5,6,7,8,9,13],[2,6,7,8,9,11,12],[3,4,5,7,8,12,14],[3,4,6,8,10,13,14],[3,4,6,9,11,12,13],[3,5,6,7,10,11,13],[3,5,7,8,10,11,12],[4,5,6,9,10,12,14]]; G[6928]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6929: autom. group order 2, simple B[6929]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,10,11,12,13],[1,2,6,8,10,12,14],[1,3,5,9,11,12,14],[1,3,6,8,9,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,13,14],[1,4,7,9,10,12,14],[1,5,6,7,9,10,13],[1,5,6,8,11,13,14],[2,3,7,9,10,13,14],[2,3,8,9,10,11,13],[2,4,5,8,10,12,14],[2,4,5,9,11,13,14],[2,4,6,7,11,12,13],[2,5,6,7,8,9,14],[2,6,7,8,9,11,12],[3,4,5,7,8,12,13],[3,4,6,8,10,13,14],[3,4,6,9,11,12,14],[3,5,6,7,10,11,14],[3,5,7,8,10,11,12],[4,5,6,9,10,12,13]]; G[6929]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6930: autom. group order 2, simple B[6930]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,10,11,12,13],[1,2,6,8,10,12,14],[1,3,5,9,11,12,14],[1,3,6,8,9,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,13,14],[1,4,7,9,10,12,13],[1,5,6,7,9,10,14],[1,5,6,8,11,13,14],[2,3,7,9,10,13,14],[2,3,8,9,10,11,14],[2,4,5,8,10,13,14],[2,4,5,9,11,12,13],[2,4,6,7,11,12,14],[2,5,6,7,8,9,13],[2,6,7,8,9,11,12],[3,4,5,7,8,12,14],[3,4,6,8,10,12,13],[3,4,6,9,11,13,14],[3,5,6,7,10,11,13],[3,5,7,8,10,11,12],[4,5,6,9,10,12,14]]; G[6930]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6931: autom. group order 2, simple B[6931]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,10,11,12,13],[1,2,6,8,10,12,14],[1,3,5,9,11,12,14],[1,3,6,8,9,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,13,14],[1,4,7,9,10,12,14],[1,5,6,7,9,10,13],[1,5,6,8,11,13,14],[2,3,7,9,10,13,14],[2,3,8,9,10,11,13],[2,4,5,8,10,13,14],[2,4,5,9,11,12,14],[2,4,6,7,11,12,13],[2,5,6,7,8,9,14],[2,6,7,8,9,11,12],[3,4,5,7,8,12,13],[3,4,6,8,10,12,14],[3,4,6,9,11,13,14],[3,5,6,7,10,11,14],[3,5,7,8,10,11,12],[4,5,6,9,10,12,13]]; G[6931]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6932: autom. group order 2, simple B[6932]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,10,11,12,13],[1,2,6,8,10,12,14],[1,3,5,9,11,12,14],[1,3,6,8,9,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,7,8,11,14],[1,5,6,9,10,13,14],[2,3,7,8,11,13,14],[2,3,8,9,10,11,14],[2,4,5,8,10,12,13],[2,4,5,9,11,13,14],[2,4,6,7,9,12,14],[2,5,6,7,8,9,13],[2,6,7,9,10,11,12],[3,4,5,7,10,12,14],[3,4,6,8,10,13,14],[3,4,6,9,11,12,13],[3,5,6,7,10,11,13],[3,5,7,8,9,10,12],[4,5,6,8,11,12,14]]; G[6932]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6933: autom. group order 2, simple B[6933]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,10,11,12,13],[1,2,6,8,10,12,14],[1,3,5,9,11,12,14],[1,3,6,8,9,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,12,14],[1,4,7,9,10,13,14],[1,5,6,7,8,11,13],[1,5,6,9,10,13,14],[2,3,7,8,11,13,14],[2,3,8,9,10,11,13],[2,4,5,8,10,12,14],[2,4,5,9,11,13,14],[2,4,6,7,9,12,13],[2,5,6,7,8,9,14],[2,6,7,9,10,11,12],[3,4,5,7,10,12,13],[3,4,6,8,10,13,14],[3,4,6,9,11,12,14],[3,5,6,7,10,11,14],[3,5,7,8,9,10,12],[4,5,6,8,11,12,13]]; G[6933]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6934: autom. group order 2, simple B[6934]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,6,9,11,12,14],[1,3,5,8,10,12,14],[1,3,6,9,11,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,7,8,11,14],[1,5,6,9,10,13,14],[2,3,7,8,11,13,14],[2,3,8,9,10,11,14],[2,4,5,9,11,12,13],[2,4,5,10,11,13,14],[2,4,6,7,10,12,14],[2,5,6,7,8,9,13],[2,6,7,8,9,10,12],[3,4,5,7,9,12,14],[3,4,6,8,9,13,14],[3,4,6,8,10,12,13],[3,5,6,7,10,11,13],[3,5,7,9,10,11,12],[4,5,6,8,11,12,14]]; G[6934]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6935: autom. group order 2, simple B[6935]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,6,9,11,12,14],[1,3,5,8,10,12,14],[1,3,6,9,11,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,12,14],[1,4,7,9,10,13,14],[1,5,6,7,8,11,13],[1,5,6,9,10,13,14],[2,3,7,8,11,13,14],[2,3,8,9,10,11,13],[2,4,5,9,11,12,14],[2,4,5,10,11,13,14],[2,4,6,7,10,12,13],[2,5,6,7,8,9,14],[2,6,7,8,9,10,12],[3,4,5,7,9,12,13],[3,4,6,8,9,13,14],[3,4,6,8,10,12,14],[3,5,6,7,10,11,14],[3,5,7,9,10,11,12],[4,5,6,8,11,12,13]]; G[6935]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6936: autom. group order 2, simple B[6936]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,6,9,11,12,14],[1,3,5,8,10,12,14],[1,3,6,9,11,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,7,8,11,14],[1,5,6,9,10,13,14],[2,3,7,8,11,13,14],[2,3,8,9,10,11,14],[2,4,5,9,11,13,14],[2,4,5,10,11,12,13],[2,4,6,7,10,12,14],[2,5,6,7,8,9,13],[2,6,7,8,9,10,12],[3,4,5,7,9,12,14],[3,4,6,8,9,12,13],[3,4,6,8,10,13,14],[3,5,6,7,10,11,13],[3,5,7,9,10,11,12],[4,5,6,8,11,12,14]]; G[6936]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6937: autom. group order 2, simple B[6937]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,6,9,11,12,14],[1,3,5,8,10,12,14],[1,3,6,9,11,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,12,14],[1,4,7,9,10,13,14],[1,5,6,7,8,11,13],[1,5,6,9,10,13,14],[2,3,7,8,11,13,14],[2,3,8,9,10,11,13],[2,4,5,9,11,13,14],[2,4,5,10,11,12,14],[2,4,6,7,10,12,13],[2,5,6,7,8,9,14],[2,6,7,8,9,10,12],[3,4,5,7,9,12,13],[3,4,6,8,9,12,14],[3,4,6,8,10,13,14],[3,5,6,7,10,11,14],[3,5,7,9,10,11,12],[4,5,6,8,11,12,13]]; G[6937]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6938: autom. group order 2, simple B[6938]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,6,8,10,12,14],[1,3,5,9,11,12,14],[1,3,6,9,11,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,13,14],[1,4,7,9,10,12,13],[1,5,6,7,9,10,14],[1,5,6,8,11,13,14],[2,3,7,9,10,13,14],[2,3,8,9,10,11,14],[2,4,5,9,11,12,13],[2,4,5,10,11,13,14],[2,4,6,7,11,12,14],[2,5,6,7,8,9,13],[2,6,7,8,9,11,12],[3,4,5,7,8,12,14],[3,4,6,8,9,13,14],[3,4,6,8,10,12,13],[3,5,6,7,10,11,13],[3,5,7,8,10,11,12],[4,5,6,9,10,12,14]]; G[6938]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6939: autom. group order 2, simple B[6939]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,6,8,10,12,14],[1,3,5,9,11,12,14],[1,3,6,9,11,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,13,14],[1,4,7,9,10,12,13],[1,5,6,7,9,10,14],[1,5,6,8,11,13,14],[2,3,7,9,10,13,14],[2,3,8,9,10,11,14],[2,4,5,9,11,13,14],[2,4,5,10,11,12,13],[2,4,6,7,11,12,14],[2,5,6,7,8,9,13],[2,6,7,8,9,11,12],[3,4,5,7,8,12,14],[3,4,6,8,9,12,13],[3,4,6,8,10,13,14],[3,5,6,7,10,11,13],[3,5,7,8,10,11,12],[4,5,6,9,10,12,14]]; G[6939]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6940: autom. group order 2, simple B[6940]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,6,8,10,12,14],[1,3,5,9,11,12,14],[1,3,6,9,11,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,7,8,11,14],[1,5,6,9,10,13,14],[2,3,7,8,11,13,14],[2,3,8,9,10,11,14],[2,4,5,9,11,13,14],[2,4,5,10,11,12,13],[2,4,6,7,9,12,14],[2,5,6,7,8,9,13],[2,6,7,9,10,11,12],[3,4,5,7,10,12,14],[3,4,6,8,9,12,13],[3,4,6,8,10,13,14],[3,5,6,7,10,11,13],[3,5,7,8,9,10,12],[4,5,6,8,11,12,14]]; G[6940]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6941: autom. group order 2, simple B[6941]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,7,12,13,14],[1,2,5,8,10,12,13],[1,2,6,8,10,12,14],[1,3,5,9,11,12,14],[1,3,6,9,11,12,13],[1,4,7,8,9,10,11],[1,4,7,8,11,12,14],[1,4,7,9,10,13,14],[1,5,6,7,8,11,13],[1,5,6,9,10,13,14],[2,3,7,8,11,13,14],[2,3,8,9,10,11,13],[2,4,5,9,11,13,14],[2,4,5,10,11,12,14],[2,4,6,7,9,12,13],[2,5,6,7,8,9,14],[2,6,7,9,10,11,12],[3,4,5,7,10,12,13],[3,4,6,8,9,12,14],[3,4,6,8,10,13,14],[3,5,6,7,10,11,14],[3,5,7,8,9,10,12],[4,5,6,8,11,12,13]]; G[6941]:=Group([(2,3)(5,6)(8,11)(9,10)]); # Design 6942: autom. group order 2, simple B[6942]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,10,12,13],[1,2,5,7,9,12,13],[1,2,6,9,10,12,14],[1,3,5,8,11,13,14],[1,3,7,9,11,12,14],[1,4,6,7,8,13,14],[1,4,6,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,9,10,13,14],[1,5,7,8,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,11,14],[2,4,5,9,11,13,14],[2,4,5,10,11,12,14],[2,4,7,8,10,13,14],[2,5,6,8,11,12,13],[2,6,7,8,9,10,11],[3,4,5,7,10,12,14],[3,4,6,9,11,12,13],[3,4,8,9,10,12,13],[3,5,6,7,10,11,13],[3,5,6,8,9,10,14],[4,5,6,7,8,9,12]]; G[6942]:=Group([(1,6)(2,10)(3,9)(4,14)(7,13)(11,12)]); # Design 6943: autom. group order 2, simple B[6943]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,12,13,14],[1,2,5,7,10,12,13],[1,2,6,8,9,10,14],[1,3,5,9,11,12,14],[1,3,7,9,11,13,14],[1,4,6,7,9,13,14],[1,4,6,10,11,12,13],[1,4,8,10,11,12,14],[1,5,6,7,8,12,13],[1,5,7,8,9,10,11],[2,3,6,7,11,12,14],[2,3,7,8,10,11,13],[2,4,5,8,11,13,14],[2,4,5,9,11,12,13],[2,4,7,9,10,13,14],[2,5,6,9,10,12,14],[2,6,7,8,9,11,12],[3,4,5,7,10,12,14],[3,4,6,8,9,12,13],[3,4,7,8,9,10,12],[3,5,6,8,10,13,14],[3,5,6,9,10,11,13],[4,5,6,7,8,11,14]]; G[6943]:=Group([(2,10)(3,11)(5,12)(7,13)(9,14)]); # Design 6944: autom. group order 2, simple B[6944]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,12,13,14],[1,2,5,7,10,12,13],[1,2,6,8,9,12,14],[1,3,5,9,11,12,14],[1,3,7,9,10,13,14],[1,4,6,7,9,13,14],[1,4,6,10,11,12,14],[1,4,8,10,11,12,13],[1,5,6,7,8,11,13],[1,5,7,8,9,10,11],[2,3,6,7,11,12,13],[2,3,7,8,10,11,14],[2,4,5,8,10,13,14],[2,4,5,9,11,12,13],[2,4,7,9,11,13,14],[2,5,6,9,10,11,14],[2,6,7,8,9,10,12],[3,4,5,7,10,12,14],[3,4,6,8,9,10,13],[3,4,7,8,9,11,12],[3,5,6,8,11,13,14],[3,5,6,9,10,12,13],[4,5,6,7,8,12,14]]; G[6944]:=Group([(2,11)(3,10)(5,12)(7,14)(9,13)]); # Design 6945: autom. group order 2, simple B[6945]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,10,12,13,14],[1,2,5,10,11,12,13],[1,2,6,8,11,12,14],[1,3,5,7,8,12,14],[1,3,7,8,9,10,13],[1,4,6,7,9,12,14],[1,4,6,9,10,13,14],[1,4,7,8,11,13,14],[1,5,6,8,9,11,13],[1,5,7,9,10,11,12],[2,3,6,7,9,12,13],[2,3,7,9,11,13,14],[2,4,5,7,11,13,14],[2,4,5,8,9,12,13],[2,4,8,9,10,12,14],[2,5,6,7,8,10,14],[2,6,7,8,9,10,11],[3,4,5,9,10,11,14],[3,4,6,8,11,12,13],[3,4,7,8,10,11,12],[3,5,6,8,10,13,14],[3,5,6,9,11,12,14],[4,5,6,7,10,12,13]]; G[6945]:=Group([(1,8)(3,9)(6,12)(7,13)(11,14)]); # Design 6946: autom. group order 2, simple B[6946]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,12,13,14],[1,2,5,9,10,12,13],[1,2,6,8,9,12,14],[1,3,5,7,11,12,14],[1,3,7,9,11,13,14],[1,4,6,7,9,13,14],[1,4,6,10,11,12,14],[1,4,8,10,11,12,13],[1,5,6,7,8,10,13],[1,5,7,8,9,10,11],[2,3,6,9,10,11,13],[2,3,7,8,10,11,14],[2,4,5,7,10,12,14],[2,4,5,8,11,13,14],[2,4,7,9,10,13,14],[2,5,6,7,11,12,13],[2,6,7,8,9,11,12],[3,4,5,9,11,12,13],[3,4,6,7,8,12,13],[3,4,7,8,9,10,12],[3,5,6,8,10,13,14],[3,5,6,9,10,12,14],[4,5,6,8,9,11,14]]; G[6946]:=Group([(2,10)(3,11)(5,12)(7,14)(9,13)]); # Design 6947: autom. group order 2, simple B[6947]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,12,13,14],[1,2,5,9,10,12,13],[1,2,6,8,9,12,14],[1,3,5,7,11,12,14],[1,3,7,9,11,13,14],[1,4,6,7,9,13,14],[1,4,6,10,11,12,14],[1,4,8,10,11,12,13],[1,5,6,7,8,10,13],[1,5,7,8,9,10,11],[2,3,6,9,10,11,13],[2,3,7,8,10,11,14],[2,4,5,7,11,12,13],[2,4,5,8,11,13,14],[2,4,7,9,10,13,14],[2,5,6,7,10,12,14],[2,6,7,8,9,11,12],[3,4,5,9,10,12,14],[3,4,6,7,8,12,13],[3,4,7,8,9,10,12],[3,5,6,8,10,13,14],[3,5,6,9,11,12,13],[4,5,6,8,9,11,14]]; G[6947]:=Group([(2,10)(3,11)(5,12)(7,14)(9,13)]); # Design 6948: autom. group order 2, simple B[6948]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,10,12,13,14],[1,2,5,10,11,12,13],[1,2,6,7,8,12,14],[1,3,5,7,9,12,14],[1,3,7,8,9,10,13],[1,4,6,9,11,12,14],[1,4,7,8,10,11,12],[1,4,7,9,11,13,14],[1,5,6,8,9,11,13],[1,5,6,8,10,13,14],[2,3,6,9,11,12,13],[2,3,7,8,11,13,14],[2,4,5,7,11,13,14],[2,4,5,8,9,12,13],[2,4,8,9,10,12,14],[2,5,6,7,9,10,14],[2,6,7,8,9,10,11],[3,4,5,8,10,11,14],[3,4,6,7,8,12,13],[3,4,6,9,10,13,14],[3,5,6,8,11,12,14],[3,5,7,9,10,11,12],[4,5,6,7,10,12,13]]; G[6948]:=Group([(1,9)(3,8)(6,12)(7,13)(11,14)]); # Design 6949: autom. group order 2, simple B[6949]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,10,12,13,14],[1,2,5,8,10,11,12],[1,2,6,7,8,13,14],[1,3,5,7,9,12,13],[1,3,7,8,9,10,14],[1,4,6,9,11,13,14],[1,4,7,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,8,11,12,13],[1,5,6,9,10,12,14],[2,3,6,9,11,12,13],[2,3,7,9,11,12,14],[2,4,5,7,11,12,14],[2,4,5,8,9,13,14],[2,4,8,9,10,12,13],[2,5,6,7,10,13,14],[2,6,7,8,9,10,11],[3,4,5,10,11,13,14],[3,4,6,7,8,12,13],[3,4,6,8,10,12,14],[3,5,6,8,9,11,14],[3,5,7,8,10,11,13],[4,5,6,7,9,10,12]]; G[6949]:=Group([(1,8)(3,9)(6,13)(7,14)(11,12)]); # Design 6950: autom. group order 2, simple B[6950]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,10,12,13,14],[1,2,5,8,10,11,12],[1,2,6,7,9,12,13],[1,3,5,9,11,13,14],[1,3,7,8,9,10,14],[1,4,6,7,8,13,14],[1,4,7,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,8,11,12,13],[1,5,6,9,10,12,14],[2,3,6,8,11,13,14],[2,3,7,9,11,12,14],[2,4,5,7,11,12,14],[2,4,5,8,9,13,14],[2,4,8,9,10,12,13],[2,5,6,7,10,13,14],[2,6,7,8,9,10,11],[3,4,5,7,10,12,13],[3,4,6,8,10,12,14],[3,4,6,9,11,12,13],[3,5,6,7,8,9,12],[3,5,7,8,10,11,13],[4,5,6,9,10,11,14]]; G[6950]:=Group([(1,8)(3,9)(6,13)(7,14)(11,12)]); # Design 6951: autom. group order 2, simple B[6951]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,10,12,13,14],[1,2,5,8,10,11,12],[1,2,6,7,8,13,14],[1,3,5,9,11,13,14],[1,3,7,8,9,10,13],[1,4,6,7,9,12,14],[1,4,7,8,11,12,13],[1,4,7,9,10,11,14],[1,5,6,8,11,12,14],[1,5,6,9,10,12,13],[2,3,6,9,11,12,14],[2,3,7,9,11,12,13],[2,4,5,7,11,12,13],[2,4,5,8,9,13,14],[2,4,8,9,10,12,14],[2,5,6,7,10,13,14],[2,6,7,8,9,10,11],[3,4,5,7,10,12,14],[3,4,6,8,10,12,13],[3,4,6,8,11,13,14],[3,5,6,7,8,9,12],[3,5,7,8,10,11,14],[4,5,6,9,10,11,13]]; G[6951]:=Group([(1,8)(3,9)(6,14)(7,13)(11,12)]); # Design 6952: autom. group order 2, simple B[6952]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,10,12,13,14],[1,2,5,10,11,12,13],[1,2,6,7,8,12,14],[1,3,5,8,9,11,14],[1,3,7,8,9,10,13],[1,4,6,9,11,12,14],[1,4,7,8,10,11,12],[1,4,7,9,11,13,14],[1,5,6,7,9,12,13],[1,5,6,8,10,13,14],[2,3,6,9,11,12,13],[2,3,7,8,11,13,14],[2,4,5,7,11,13,14],[2,4,5,8,9,12,13],[2,4,8,9,10,12,14],[2,5,6,7,9,10,14],[2,6,7,8,9,10,11],[3,4,5,7,10,12,14],[3,4,6,7,8,12,13],[3,4,6,9,10,13,14],[3,5,6,8,11,12,14],[3,5,7,9,10,11,12],[4,5,6,8,10,11,13]]; G[6952]:=Group([(1,9)(3,8)(6,12)(7,13)(11,14)]); # Design 6953: autom. group order 2, simple B[6953]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,10,12,13,14],[1,2,5,10,11,12,13],[1,2,6,8,11,12,14],[1,3,5,7,8,12,14],[1,3,7,8,9,10,13],[1,4,6,7,9,12,14],[1,4,7,8,11,13,14],[1,4,7,9,10,11,12],[1,5,6,8,9,11,13],[1,5,6,9,10,13,14],[2,3,6,7,9,12,13],[2,3,7,9,11,13,14],[2,4,5,7,11,13,14],[2,4,5,8,9,12,13],[2,4,8,9,10,12,14],[2,5,6,7,8,10,14],[2,6,7,8,9,10,11],[3,4,5,9,10,11,14],[3,4,6,8,10,13,14],[3,4,6,8,11,12,13],[3,5,6,9,11,12,14],[3,5,7,8,10,11,12],[4,5,6,7,10,12,13]]; G[6953]:=Group([(1,8)(3,9)(6,12)(7,13)(11,14)]); # Design 6954: autom. group order 2, simple B[6954]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,10,12,13,14],[1,2,5,8,10,11,12],[1,2,6,9,11,13,14],[1,3,5,7,9,12,13],[1,3,7,8,9,10,14],[1,4,6,7,8,13,14],[1,4,7,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,8,11,12,13],[1,5,6,9,10,12,14],[2,3,6,7,8,12,13],[2,3,7,9,11,12,14],[2,4,5,7,11,12,14],[2,4,5,8,9,13,14],[2,4,8,9,10,12,13],[2,5,6,7,10,13,14],[2,6,7,8,9,10,11],[3,4,5,10,11,13,14],[3,4,6,8,10,12,14],[3,4,6,9,11,12,13],[3,5,6,8,9,11,14],[3,5,7,8,10,11,13],[4,5,6,7,9,10,12]]; G[6954]:=Group([(1,8)(3,9)(6,13)(7,14)(11,12)]); # Design 6955: autom. group order 2, simple B[6955]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,10,12,13,14],[1,2,5,10,11,12,13],[1,2,6,8,11,12,14],[1,3,5,8,9,11,14],[1,3,7,8,9,10,13],[1,4,6,7,9,12,14],[1,4,7,8,11,13,14],[1,4,7,9,10,11,12],[1,5,6,7,8,12,13],[1,5,6,9,10,13,14],[2,3,6,7,9,12,13],[2,3,7,9,11,13,14],[2,4,5,7,11,13,14],[2,4,5,8,9,12,13],[2,4,8,9,10,12,14],[2,5,6,7,8,10,14],[2,6,7,8,9,10,11],[3,4,5,7,10,12,14],[3,4,6,8,10,13,14],[3,4,6,8,11,12,13],[3,5,6,9,11,12,14],[3,5,7,8,10,11,12],[4,5,6,9,10,11,13]]; G[6955]:=Group([(1,8)(3,9)(6,12)(7,13)(11,14)]); # Design 6956: autom. group order 2, simple B[6956]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,10,12,13,14],[1,2,5,8,11,12,13],[1,2,7,8,9,11,14],[1,3,5,7,8,12,14],[1,3,7,9,10,11,13],[1,4,6,8,9,12,13],[1,4,6,9,11,13,14],[1,4,7,8,10,13,14],[1,5,6,7,10,11,12],[1,5,6,9,10,12,14],[2,3,6,8,9,10,14],[2,3,7,9,11,12,13],[2,4,5,7,10,13,14],[2,4,5,9,10,12,13],[2,4,6,7,11,12,14],[2,5,6,8,11,13,14],[2,6,7,8,9,10,12],[3,4,5,9,11,12,14],[3,4,6,7,8,12,13],[3,4,8,10,11,12,14],[3,5,6,7,9,13,14],[3,5,6,8,10,11,13],[4,5,7,8,9,10,11]]; G[6956]:=Group([(1,8)(2,5)(3,11)(4,13)(7,14)(9,12)]); # Design 6957: autom. group order 2, simple B[6957]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,12,13,14],[1,2,5,9,10,12,13],[1,2,7,8,9,10,11],[1,3,5,9,11,12,14],[1,3,7,10,11,12,13],[1,4,6,7,9,13,14],[1,4,6,8,10,12,13],[1,4,7,9,11,13,14],[1,5,6,7,8,10,14],[1,5,6,8,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,10,13,14],[2,4,5,7,11,12,13],[2,4,5,8,11,13,14],[2,4,6,10,11,12,14],[2,5,6,9,10,13,14],[2,6,7,8,9,11,12],[3,4,5,7,10,12,14],[3,4,6,8,9,12,13],[3,4,8,9,10,11,14],[3,5,6,7,8,11,13],[3,5,6,9,10,11,13],[4,5,7,8,9,10,12]]; G[6957]:=Group([(1,9)(2,5)(3,10)(4,13)(7,14)(8,12)]); # Design 6958: autom. group order 2, simple B[6958]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,12,13,14],[1,2,5,9,10,11,12],[1,2,7,8,10,12,13],[1,3,5,10,11,13,14],[1,3,7,8,9,10,14],[1,4,6,7,9,13,14],[1,4,6,9,10,12,13],[1,4,7,9,11,12,14],[1,5,6,7,8,11,13],[1,5,6,8,11,12,14],[2,3,6,9,11,13,14],[2,3,7,9,11,12,13],[2,4,5,7,10,12,14],[2,4,5,8,9,13,14],[2,4,6,8,11,12,14],[2,5,6,7,10,13,14],[2,6,7,8,9,10,11],[3,4,5,7,11,12,13],[3,4,6,8,10,12,13],[3,4,7,8,10,11,14],[3,5,6,7,8,9,12],[3,5,6,9,10,12,14],[4,5,8,9,10,11,13]]; G[6958]:=Group([(1,9)(2,5)(3,8)(6,13)(7,14)]); # Design 6959: autom. group order 2, simple B[6959]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,12,13,14],[1,2,5,9,10,11,12],[1,2,7,8,10,12,13],[1,3,5,10,11,13,14],[1,3,7,8,9,11,14],[1,4,6,7,9,13,14],[1,4,6,9,11,12,13],[1,4,7,9,10,12,14],[1,5,6,7,8,10,13],[1,5,6,8,11,12,14],[2,3,6,9,10,13,14],[2,3,7,9,11,12,13],[2,4,5,7,11,12,14],[2,4,5,8,9,13,14],[2,4,6,8,10,12,14],[2,5,6,7,11,13,14],[2,6,7,8,9,10,11],[3,4,5,7,10,12,13],[3,4,6,8,11,12,13],[3,4,7,8,10,11,14],[3,5,6,7,8,9,12],[3,5,6,9,10,12,14],[4,5,8,9,10,11,13]]; G[6959]:=Group([(1,9)(2,5)(3,8)(6,13)(7,14)]); # Design 6960: autom. group order 2, simple B[6960]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,12,13,14],[1,2,5,9,10,11,12],[1,2,7,8,10,12,13],[1,3,5,11,12,13,14],[1,3,7,8,9,10,14],[1,4,6,7,9,13,14],[1,4,6,9,10,12,13],[1,4,7,9,11,12,14],[1,5,6,7,8,11,13],[1,5,6,8,10,11,14],[2,3,6,9,11,13,14],[2,3,7,9,10,11,13],[2,4,5,7,10,12,14],[2,4,5,8,9,13,14],[2,4,6,8,11,12,14],[2,5,6,7,10,13,14],[2,6,7,8,9,11,12],[3,4,5,7,11,12,13],[3,4,6,8,10,12,13],[3,4,7,8,10,11,14],[3,5,6,7,8,9,12],[3,5,6,9,10,12,14],[4,5,8,9,10,11,13]]; G[6960]:=Group([(1,9)(2,5)(3,8)(6,13)(7,14)]); # Design 6961: autom. group order 2, simple B[6961]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,8,12,13,14],[1,2,5,9,10,11,12],[1,2,7,8,10,12,13],[1,3,5,11,12,13,14],[1,3,7,8,9,11,14],[1,4,6,7,9,13,14],[1,4,6,9,11,12,13],[1,4,7,9,10,12,14],[1,5,6,7,8,10,13],[1,5,6,8,10,11,14],[2,3,6,9,10,13,14],[2,3,7,9,10,11,13],[2,4,5,7,11,12,14],[2,4,5,8,9,13,14],[2,4,6,8,10,12,14],[2,5,6,7,11,13,14],[2,6,7,8,9,11,12],[3,4,5,7,10,12,13],[3,4,6,8,11,12,13],[3,4,7,8,10,11,14],[3,5,6,7,8,9,12],[3,5,6,9,10,12,14],[4,5,8,9,10,11,13]]; G[6961]:=Group([(1,9)(2,5)(3,8)(6,13)(7,14)]); # Design 6962: autom. group order 2, simple, residual B[6962]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,6,7,9,10,12],[1,3,5,9,12,13,14],[1,3,7,8,10,11,14],[1,4,6,7,8,9,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,13],[1,5,7,8,10,13,14],[1,5,8,9,10,11,12],[2,3,7,8,9,12,13],[2,3,7,9,11,13,14],[2,4,5,8,12,13,14],[2,4,5,9,10,11,14],[2,4,7,8,10,11,13],[2,5,6,7,11,12,14],[2,6,8,9,10,12,14],[3,4,5,7,10,12,14],[3,4,6,8,9,11,14],[3,4,6,8,10,12,13],[3,5,6,7,8,11,12],[3,5,6,9,10,11,13],[4,5,6,7,9,10,13]]; G[6962]:=Group([(2,12)(3,11)(5,13)(6,9)(8,14)]); # Design 6963: autom. group order 2, simple B[6963]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,6,7,9,10,12],[1,3,5,9,12,13,14],[1,3,7,8,10,11,14],[1,4,6,7,8,9,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,13],[1,5,7,9,10,13,14],[1,5,8,9,10,11,12],[2,3,7,8,9,11,13],[2,3,7,9,11,12,14],[2,4,5,8,10,12,14],[2,4,5,9,11,13,14],[2,4,7,8,10,13,14],[2,5,6,7,11,12,14],[2,6,8,9,10,12,13],[3,4,5,7,10,12,13],[3,4,6,8,9,12,14],[3,4,6,9,10,11,13],[3,5,6,7,8,12,13],[3,5,6,8,10,11,14],[4,5,6,7,9,10,11]]; G[6963]:=Group([(2,11)(3,12)(5,13)(6,8)(9,14)]); # Design 6964: autom. group order 2, simple, residual B[6964]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,6,7,9,10,12],[1,3,5,9,12,13,14],[1,3,7,8,10,11,14],[1,4,6,7,8,9,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,13],[1,5,7,9,10,13,14],[1,5,8,9,10,11,12],[2,3,7,8,9,11,13],[2,3,7,8,12,13,14],[2,4,5,8,10,12,14],[2,4,5,9,11,13,14],[2,4,7,9,10,11,14],[2,5,6,7,11,12,14],[2,6,8,9,10,12,13],[3,4,5,7,10,12,13],[3,4,6,8,9,12,14],[3,4,6,9,10,11,13],[3,5,6,7,9,11,12],[3,5,6,8,10,11,14],[4,5,6,7,8,10,13]]; G[6964]:=Group([(2,11)(3,12)(5,13)(6,8)(9,14)]); # Design 6965: autom. group order 2, simple, residual B[6965]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,6,7,9,10,12],[1,3,5,9,12,13,14],[1,3,7,8,10,11,14],[1,4,6,7,8,9,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,13],[1,5,7,9,10,13,14],[1,5,8,9,10,11,12],[2,3,7,8,9,11,13],[2,3,7,8,12,13,14],[2,4,5,8,10,12,14],[2,4,5,9,11,13,14],[2,4,7,9,10,12,13],[2,5,6,7,11,12,14],[2,6,8,9,10,11,14],[3,4,5,7,10,11,14],[3,4,6,8,9,12,14],[3,4,6,9,10,11,13],[3,5,6,7,9,11,12],[3,5,6,8,10,12,13],[4,5,6,7,8,10,13]]; G[6965]:=Group([(2,11)(3,12)(5,13)(6,8)(9,14)]); # Design 6966: autom. group order 2, simple, residual B[6966]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,6,7,9,12,14],[1,3,5,9,10,12,13],[1,3,7,10,11,12,14],[1,4,6,7,8,11,12],[1,4,6,9,11,13,14],[1,4,7,8,9,10,13],[1,5,7,8,9,10,14],[1,5,8,11,12,13,14],[2,3,7,8,9,11,14],[2,3,8,9,11,12,13],[2,4,5,7,12,13,14],[2,4,5,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,8,10,12,14],[2,6,7,9,10,11,13],[3,4,5,7,11,13,14],[3,4,6,8,9,12,14],[3,4,6,8,10,13,14],[3,5,6,7,8,10,11],[3,5,6,7,9,12,13],[4,5,6,9,10,11,12]]; G[6966]:=Group([(1,9)(2,12)(4,13)(8,10)]); # Design 6967: autom. group order 2, simple, residual B[6967]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,6,7,9,12,14],[1,3,5,9,10,12,13],[1,3,7,10,11,12,14],[1,4,6,7,8,11,12],[1,4,6,9,11,13,14],[1,4,7,8,9,10,13],[1,5,7,8,9,10,14],[1,5,8,11,12,13,14],[2,3,7,8,9,11,14],[2,3,8,9,11,12,13],[2,4,5,7,12,13,14],[2,4,5,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,8,10,12,14],[2,6,7,9,10,11,13],[3,4,5,7,11,13,14],[3,4,6,8,10,13,14],[3,4,6,9,10,12,14],[3,5,6,7,8,10,11],[3,5,6,7,9,12,13],[4,5,6,8,9,11,12]]; G[6967]:=Group([(1,9)(2,12)(4,13)(8,10)]); # Design 6968: autom. group order 2, simple, residual B[6968]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,11,12,14],[1,2,6,8,9,13,14],[1,3,5,7,11,13,14],[1,3,7,9,10,11,14],[1,4,6,7,9,11,12],[1,4,6,10,12,13,14],[1,4,7,8,9,10,14],[1,5,7,8,9,12,13],[1,5,8,10,11,12,13],[2,3,7,9,10,12,13],[2,3,8,9,11,12,14],[2,4,5,7,10,13,14],[2,4,5,9,11,13,14],[2,4,7,8,11,12,13],[2,5,6,7,9,10,12],[2,6,7,8,10,11,14],[3,4,5,8,10,12,14],[3,4,6,7,8,11,13],[3,4,6,9,12,13,14],[3,5,6,7,8,12,14],[3,5,6,9,10,11,13],[4,5,6,8,9,10,11]]; G[6968]:=Group([(1,14)(2,12)(4,8)(9,10)]); # Design 6969: autom. group order 2, simple, residual B[6969]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,11,12,14],[1,2,6,8,9,13,14],[1,3,5,7,11,13,14],[1,3,7,9,10,11,14],[1,4,6,7,9,11,12],[1,4,6,10,12,13,14],[1,4,7,8,9,10,14],[1,5,7,8,10,12,13],[1,5,8,9,11,12,13],[2,3,7,9,10,12,13],[2,3,8,9,11,12,14],[2,4,5,7,9,13,14],[2,4,5,10,11,13,14],[2,4,7,8,11,12,13],[2,5,6,7,9,10,12],[2,6,7,8,10,11,14],[3,4,5,8,10,12,14],[3,4,6,7,8,11,13],[3,4,6,9,12,13,14],[3,5,6,7,8,12,14],[3,5,6,9,10,11,13],[4,5,6,8,9,10,11]]; G[6969]:=Group([(1,14)(2,12)(4,8)(9,10)]); # Design 6970: autom. group order 2, simple B[6970]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,6,9,10,12,14],[1,3,5,7,12,13,14],[1,3,7,8,9,10,11],[1,4,6,7,8,9,14],[1,4,6,9,11,12,13],[1,4,8,11,12,13,14],[1,5,7,8,10,11,12],[1,5,7,9,10,13,14],[2,3,7,9,11,12,14],[2,3,8,9,11,13,14],[2,4,5,7,11,13,14],[2,4,5,8,10,12,14],[2,4,7,8,9,10,13],[2,5,6,7,9,11,12],[2,6,7,8,10,12,13],[3,4,5,9,10,12,13],[3,4,6,7,8,12,14],[3,4,6,7,10,11,13],[3,5,6,8,9,12,13],[3,5,6,8,10,11,14],[4,5,6,9,10,11,14]]; G[6970]:=Group([(2,11)(3,12)(5,13)(6,8)(7,14)]); # Design 6971: autom. group order 2, simple, residual B[6971]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,6,9,10,12,14],[1,3,5,7,12,13,14],[1,3,7,8,9,10,11],[1,4,6,7,8,9,14],[1,4,6,9,11,12,13],[1,4,8,11,12,13,14],[1,5,7,8,10,11,12],[1,5,7,9,10,13,14],[2,3,7,8,9,12,13],[2,3,8,9,11,13,14],[2,4,5,7,11,13,14],[2,4,5,8,10,12,14],[2,4,7,9,10,11,14],[2,5,6,7,9,11,12],[2,6,7,8,10,12,13],[3,4,5,9,10,12,13],[3,4,6,7,8,12,14],[3,4,6,7,10,11,13],[3,5,6,8,10,11,14],[3,5,6,9,11,12,14],[4,5,6,8,9,10,13]]; G[6971]:=Group([(2,11)(3,12)(5,13)(6,8)(7,14)]); # Design 6972: autom. group order 2, simple, residual B[6972]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,6,11,12,14],[1,2,6,8,9,11,13],[1,3,5,8,9,12,14],[1,3,7,8,11,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,12,13],[1,4,7,9,10,11,14],[1,5,6,8,10,13,14],[1,5,7,9,11,12,13],[2,3,7,9,12,13,14],[2,3,8,10,11,12,14],[2,4,5,7,12,13,14],[2,4,5,8,10,13,14],[2,4,6,9,11,13,14],[2,5,7,8,9,10,11],[2,6,7,8,9,10,12],[3,4,5,9,10,11,13],[3,4,6,7,8,9,14],[3,4,6,8,11,12,13],[3,5,6,7,10,11,14],[3,5,6,9,10,12,13],[4,5,6,7,8,11,12]]; G[6972]:=Group([(1,14)(3,13)(6,12)(9,10)]); # Design 6973: autom. group order 2, simple, residual B[6973]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,6,11,13,14],[1,2,6,8,9,12,14],[1,3,5,8,12,13,14],[1,3,7,9,11,13,14],[1,4,6,8,9,10,14],[1,4,7,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,9,10,11,12],[1,5,7,8,10,11,12],[2,3,7,8,10,12,14],[2,3,8,9,10,11,13],[2,4,5,8,11,13,14],[2,4,5,9,10,12,13],[2,4,6,7,11,12,14],[2,5,7,9,10,11,14],[2,6,7,8,9,12,13],[3,4,5,7,9,12,14],[3,4,6,8,10,11,14],[3,4,6,9,11,12,13],[3,5,6,7,8,9,11],[3,5,6,10,12,13,14],[4,5,6,7,8,10,13]]; G[6973]:=Group([(2,12)(3,11)(4,10)(6,8)]); # Design 6974: autom. group order 2, simple, residual B[6974]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,11,12,14],[1,2,6,7,9,11,13],[1,3,5,7,9,12,14],[1,3,7,8,11,13,14],[1,4,6,9,10,12,14],[1,4,7,8,9,10,14],[1,4,7,10,11,12,13],[1,5,6,8,10,13,14],[1,5,8,9,11,12,13],[2,3,7,9,12,13,14],[2,3,8,10,11,12,14],[2,4,5,7,10,13,14],[2,4,5,8,12,13,14],[2,4,6,9,11,13,14],[2,5,7,8,9,10,11],[2,6,7,8,9,10,12],[3,4,5,9,10,11,13],[3,4,6,7,8,12,13],[3,4,6,8,9,11,14],[3,5,6,7,10,11,14],[3,5,6,9,10,12,13],[4,5,6,7,8,11,12]]; G[6974]:=Group([(1,14)(3,13)(6,12)(7,8)(9,10)]); # Design 6975: autom. group order 2, simple, residual B[6975]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,6,7,9,12,13],[1,3,5,7,9,12,14],[1,3,7,8,11,13,14],[1,4,6,8,9,10,14],[1,4,7,8,9,11,12],[1,4,7,8,10,13,14],[1,5,6,10,11,12,14],[1,5,9,10,11,12,13],[2,3,7,9,10,11,14],[2,3,8,9,10,12,13],[2,4,5,8,10,12,14],[2,4,5,9,11,13,14],[2,4,6,7,11,12,14],[2,5,7,8,12,13,14],[2,6,7,8,9,10,11],[3,4,5,7,10,11,13],[3,4,6,8,11,12,13],[3,4,6,9,12,13,14],[3,5,6,7,8,10,12],[3,5,6,8,9,11,14],[4,5,6,7,9,10,13]]; G[6975]:=Group([(2,12)(3,11)(4,10)(6,9)(7,13)(8,14)]); # Design 6976: autom. group order 2, simple B[6976]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,11,12,13],[1,2,6,7,8,11,14],[1,3,5,7,9,10,14],[1,3,7,8,9,11,13],[1,4,6,9,10,12,14],[1,4,7,9,12,13,14],[1,4,8,10,11,13,14],[1,5,6,8,9,12,13],[1,5,7,8,10,11,12],[2,3,7,8,12,13,14],[2,3,9,10,11,12,13],[2,4,5,7,12,13,14],[2,4,5,8,9,10,13],[2,4,6,8,9,11,14],[2,5,7,9,10,11,14],[2,6,7,8,9,10,12],[3,4,5,8,11,12,14],[3,4,6,7,8,10,13],[3,4,6,7,9,11,12],[3,5,6,8,10,12,14],[3,5,6,9,11,13,14],[4,5,6,7,10,11,13]]; G[6976]:=Group([(1,9)(3,8)(6,10)(7,13)(12,14)]); # Design 6977: autom. group order 2, simple B[6977]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,6,7,9,12,13],[1,3,5,7,9,12,14],[1,3,7,8,11,13,14],[1,4,6,8,9,10,14],[1,4,7,9,10,13,14],[1,4,8,9,11,12,13],[1,5,6,10,11,12,14],[1,5,7,8,10,11,12],[2,3,7,8,9,10,11],[2,3,8,10,12,13,14],[2,4,5,8,12,13,14],[2,4,5,9,10,11,14],[2,4,6,7,11,12,14],[2,5,7,9,10,12,13],[2,6,7,8,9,11,14],[3,4,5,7,11,13,14],[3,4,6,7,8,10,12],[3,4,6,9,11,12,13],[3,5,6,8,9,12,14],[3,5,6,9,10,11,13],[4,5,6,7,8,10,13]]; G[6977]:=Group([(2,11)(3,12)(4,10)(6,8)(9,14)]); # Design 6978: autom. group order 2, simple, residual B[6978]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,11,12,14],[1,2,6,7,9,11,13],[1,3,5,9,10,13,14],[1,3,7,8,11,13,14],[1,4,6,7,8,12,14],[1,4,7,8,9,10,14],[1,4,7,10,11,12,13],[1,5,6,9,10,12,14],[1,5,8,9,11,12,13],[2,3,7,9,12,13,14],[2,3,8,10,11,12,14],[2,4,5,7,10,13,14],[2,4,5,8,12,13,14],[2,4,6,9,11,13,14],[2,5,7,8,9,10,11],[2,6,7,8,9,10,12],[3,4,5,7,9,11,12],[3,4,6,8,9,11,14],[3,4,6,9,10,12,13],[3,5,6,7,8,12,13],[3,5,6,7,10,11,14],[4,5,6,8,10,11,13]]; G[6978]:=Group([(1,14)(3,13)(6,12)(7,8)(9,10)]); # Design 6979: autom. group order 2, simple, residual B[6979]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,11,13,14],[1,2,6,7,9,12,14],[1,3,5,9,12,13,14],[1,3,7,8,11,13,14],[1,4,6,7,9,10,14],[1,4,7,8,10,13,14],[1,4,8,9,11,12,13],[1,5,6,8,10,11,12],[1,5,7,9,10,11,12],[2,3,7,9,10,11,13],[2,3,8,9,10,12,14],[2,4,5,7,10,12,13],[2,4,5,9,11,13,14],[2,4,6,8,11,12,14],[2,5,7,8,10,11,14],[2,6,7,8,9,12,13],[3,4,5,7,8,12,14],[3,4,6,7,11,12,13],[3,4,6,9,10,11,14],[3,5,6,7,8,9,11],[3,5,6,10,12,13,14],[4,5,6,8,9,10,13]]; G[6979]:=Group([(2,12)(3,11)(4,10)(6,9)]); # Design 6980: autom. group order 2, simple, residual B[6980]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,11,12,14],[1,2,6,7,9,11,13],[1,3,5,9,10,13,14],[1,3,7,8,11,13,14],[1,4,6,7,8,12,14],[1,4,7,8,9,10,14],[1,4,8,9,11,12,13],[1,5,6,9,10,12,14],[1,5,7,10,11,12,13],[2,3,7,9,12,13,14],[2,3,8,10,11,12,14],[2,4,5,7,10,13,14],[2,4,5,8,12,13,14],[2,4,6,9,11,13,14],[2,5,7,8,9,10,11],[2,6,7,8,9,10,12],[3,4,5,7,9,11,12],[3,4,6,7,10,11,14],[3,4,6,9,10,12,13],[3,5,6,7,8,12,13],[3,5,6,8,9,11,14],[4,5,6,8,10,11,13]]; G[6980]:=Group([(1,14)(3,13)(6,12)(7,8)(9,10)]); # Design 6981: autom. group order 2, simple, residual B[6981]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,11,12,14],[1,2,6,7,9,11,13],[1,3,5,9,10,13,14],[1,3,7,8,11,13,14],[1,4,6,9,10,12,14],[1,4,7,8,9,10,14],[1,4,7,10,11,12,13],[1,5,6,7,8,12,14],[1,5,8,9,11,12,13],[2,3,7,9,12,13,14],[2,3,8,10,11,12,14],[2,4,5,7,10,13,14],[2,4,5,8,12,13,14],[2,4,6,9,11,13,14],[2,5,7,8,9,10,11],[2,6,7,8,9,10,12],[3,4,5,7,9,11,12],[3,4,6,7,8,12,13],[3,4,6,8,9,11,14],[3,5,6,7,10,11,14],[3,5,6,9,10,12,13],[4,5,6,8,10,11,13]]; G[6981]:=Group([(1,14)(3,13)(6,12)(7,8)(9,10)]); # Design 6982: autom. group order 2, simple, residual B[6982]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,12],[1,2,6,7,9,11,13],[1,3,5,9,12,13,14],[1,3,7,8,11,13,14],[1,4,6,9,10,12,14],[1,4,7,8,9,10,13],[1,4,8,10,11,12,13],[1,5,6,7,8,10,14],[1,5,7,9,11,12,14],[2,3,7,8,9,12,13],[2,3,7,10,11,12,14],[2,4,5,7,10,13,14],[2,4,5,8,12,13,14],[2,4,6,9,11,13,14],[2,5,8,9,10,11,14],[2,6,7,8,9,10,12],[3,4,5,7,9,10,11],[3,4,6,7,8,12,14],[3,4,6,8,9,11,14],[3,5,6,8,10,11,13],[3,5,6,9,10,12,13],[4,5,6,7,11,12,13]]; G[6982]:=Group([(1,14)(3,13)(6,10)(9,12)]); # Design 6983: autom. group order 2, simple, residual B[6983]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,12],[1,2,6,7,9,11,13],[1,3,5,9,12,13,14],[1,3,7,8,11,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,12,13],[1,4,8,9,10,11,13],[1,5,6,7,8,10,14],[1,5,7,9,11,12,14],[2,3,7,8,9,12,13],[2,3,7,10,11,12,14],[2,4,5,7,10,13,14],[2,4,5,8,12,13,14],[2,4,6,9,11,13,14],[2,5,8,9,10,11,14],[2,6,7,8,9,10,12],[3,4,5,7,9,10,11],[3,4,6,7,8,9,14],[3,4,6,8,11,12,14],[3,5,6,8,10,11,13],[3,5,6,9,10,12,13],[4,5,6,7,11,12,13]]; G[6983]:=Group([(1,14)(3,13)(6,10)(9,12)]); # Design 6984: autom. group order 2, simple, residual B[6984]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,6,8,9,12,14],[1,3,5,7,9,12,14],[1,3,7,8,11,13,14],[1,4,6,7,9,10,13],[1,4,7,8,9,11,12],[1,4,7,8,10,13,14],[1,5,6,10,11,12,14],[1,5,9,10,11,12,13],[2,3,7,9,10,11,14],[2,3,8,9,10,12,13],[2,4,5,7,10,12,13],[2,4,5,9,11,13,14],[2,4,6,7,11,12,14],[2,5,7,8,12,13,14],[2,6,7,8,9,10,11],[3,4,5,8,10,11,14],[3,4,6,8,11,12,13],[3,4,6,9,12,13,14],[3,5,6,7,8,10,12],[3,5,6,7,9,11,13],[4,5,6,8,9,10,14]]; G[6984]:=Group([(2,12)(3,11)(4,10)(6,9)(7,13)(8,14)]); # Design 6985: autom. group order 2, simple, residual B[6985]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,11,13,14],[1,2,7,8,10,11,13],[1,3,5,7,8,12,14],[1,3,6,7,9,12,13],[1,4,6,8,9,10,11],[1,4,6,8,9,12,14],[1,4,7,10,11,12,14],[1,5,7,9,11,12,13],[1,5,8,9,10,13,14],[2,3,7,8,9,10,14],[2,3,8,9,11,12,13],[2,4,5,7,9,11,14],[2,4,5,9,10,12,13],[2,4,6,7,8,12,13],[2,5,6,8,11,12,14],[2,6,7,9,10,12,14],[3,4,5,10,12,13,14],[3,4,6,9,11,13,14],[3,4,7,8,11,13,14],[3,5,6,7,9,10,11],[3,5,6,8,10,11,12],[4,5,6,7,8,10,13]]; G[6985]:=Group([(1,13)(2,14)(5,11)(7,9)]); # Design 6986: autom. group order 2, simple B[6986]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,10,12,13],[1,3,5,7,10,11,14],[1,3,6,8,9,12,14],[1,4,6,7,8,9,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,13],[1,5,7,9,10,13,14],[1,5,8,9,10,11,12],[2,3,7,8,9,11,13],[2,3,7,8,12,13,14],[2,4,5,8,10,12,14],[2,4,5,9,11,13,14],[2,4,6,7,9,10,12],[2,5,6,7,11,12,14],[2,6,8,9,10,11,14],[3,4,5,9,12,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,14],[3,5,6,7,9,11,12],[3,5,6,8,10,12,13],[4,5,6,7,8,10,13]]; G[6986]:=Group([(2,11)(3,12)(5,13)(6,8)(9,14)]); # Design 6987: autom. group order 2, simple, residual B[6987]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,10,13,14],[1,3,5,7,12,13,14],[1,3,6,9,11,12,14],[1,4,6,7,9,10,12],[1,4,6,8,9,11,14],[1,4,7,8,11,13,14],[1,5,7,8,10,11,12],[1,5,8,9,10,12,13],[2,3,7,8,9,11,13],[2,3,8,10,11,12,14],[2,4,5,7,11,12,14],[2,4,5,9,12,13,14],[2,4,6,8,10,12,13],[2,5,6,7,9,10,11],[2,6,7,8,9,12,14],[3,4,5,8,9,10,14],[3,4,6,7,8,12,13],[3,4,7,9,10,11,13],[3,5,6,7,8,10,14],[3,5,6,9,11,12,13],[4,5,6,10,11,13,14]]; G[6987]:=Group([(1,14)(2,10)(4,8)]); # Design 6988: autom. group order 2, simple, residual B[6988]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,9,13,14],[1,3,5,7,12,13,14],[1,3,6,9,11,12,14],[1,4,6,7,9,10,12],[1,4,6,8,9,11,14],[1,4,7,10,11,13,14],[1,5,7,8,9,10,12],[1,5,8,10,11,12,13],[2,3,7,9,10,11,13],[2,3,8,9,10,12,14],[2,4,5,7,11,12,14],[2,4,5,9,12,13,14],[2,4,6,8,10,12,13],[2,5,6,7,9,10,11],[2,6,7,8,11,12,14],[3,4,5,8,10,11,14],[3,4,6,7,8,12,13],[3,4,7,8,9,11,13],[3,5,6,7,8,10,14],[3,5,6,9,11,12,13],[4,5,6,9,10,13,14]]; G[6988]:=Group([(1,14)(2,10)(4,8)(9,11)]); # Design 6989: autom. group order 2, simple, residual B[6989]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,9,13,14],[1,3,5,7,12,13,14],[1,3,6,9,11,12,14],[1,4,6,7,9,10,12],[1,4,6,8,9,11,14],[1,4,7,10,11,13,14],[1,5,7,8,10,11,12],[1,5,8,9,10,12,13],[2,3,7,9,10,11,13],[2,3,8,9,10,12,14],[2,4,5,7,9,12,14],[2,4,5,11,12,13,14],[2,4,6,8,10,12,13],[2,5,6,7,9,10,11],[2,6,7,8,11,12,14],[3,4,5,8,10,11,14],[3,4,6,7,8,12,13],[3,4,7,8,9,11,13],[3,5,6,7,8,10,14],[3,5,6,9,11,12,13],[4,5,6,9,10,13,14]]; G[6989]:=Group([(1,14)(2,10)(4,8)(9,11)]); # Design 6990: autom. group order 2, simple, residual B[6990]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,10,12,14],[1,3,5,9,12,13,14],[1,3,6,7,9,10,11],[1,4,6,7,8,9,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,13],[1,5,7,9,10,13,14],[1,5,8,9,10,11,12],[2,3,7,8,9,12,13],[2,3,7,8,11,13,14],[2,4,5,7,10,12,14],[2,4,5,9,11,13,14],[2,4,6,9,10,12,13],[2,5,6,7,9,11,12],[2,6,8,9,10,11,14],[3,4,5,8,10,11,14],[3,4,6,8,9,12,14],[3,4,7,9,10,11,13],[3,5,6,7,11,12,14],[3,5,6,8,10,12,13],[4,5,6,7,8,10,13]]; G[6990]:=Group([(2,11)(3,12)(5,13)(6,8)(9,14)]); # Design 6991: autom. group order 2, simple, residual B[6991]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,8,10,12,13],[1,3,5,9,11,12,14],[1,3,6,7,9,10,14],[1,4,6,7,9,11,12],[1,4,6,8,12,13,14],[1,4,7,8,9,11,13],[1,5,7,9,10,13,14],[1,5,8,10,11,12,14],[2,3,7,8,11,12,14],[2,3,7,9,10,12,13],[2,4,5,7,11,13,14],[2,4,5,8,9,10,14],[2,4,6,9,10,12,14],[2,5,6,9,11,12,13],[2,6,7,8,9,11,14],[3,4,5,7,12,13,14],[3,4,6,10,11,13,14],[3,4,8,9,10,11,13],[3,5,6,7,8,10,11],[3,5,6,8,9,12,13],[4,5,6,7,8,10,12]]; G[6991]:=Group([(1,10)(2,11)(5,13)(7,14)]); # Design 6992: autom. group order 2, simple, residual B[6992]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,13,14],[1,2,7,8,10,11,13],[1,3,5,9,11,12,14],[1,3,6,7,9,12,13],[1,4,6,7,9,11,14],[1,4,6,8,10,11,12],[1,4,7,8,9,10,14],[1,5,7,9,10,12,13],[1,5,8,11,12,13,14],[2,3,7,8,11,12,14],[2,3,7,9,10,11,13],[2,4,5,7,10,12,14],[2,4,5,8,9,12,13],[2,4,6,9,11,12,13],[2,5,6,9,10,11,14],[2,6,7,8,9,12,14],[3,4,5,7,11,13,14],[3,4,6,10,12,13,14],[3,4,8,9,10,13,14],[3,5,6,7,8,10,12],[3,5,6,8,9,10,11],[4,5,6,7,8,11,13]]; G[6992]:=Group([(1,13)(2,14)(5,10)(7,12)]); # Design 6993: autom. group order 2, simple, residual B[6993]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,11,12,14],[1,3,5,9,10,12,13],[1,3,6,7,9,11,14],[1,4,6,7,8,11,12],[1,4,6,10,12,13,14],[1,4,7,8,9,10,13],[1,5,7,8,12,13,14],[1,5,8,9,10,11,14],[2,3,7,8,10,12,14],[2,3,8,9,11,12,13],[2,4,5,7,9,10,14],[2,4,5,11,12,13,14],[2,4,6,8,9,13,14],[2,5,6,7,8,10,12],[2,6,7,9,10,11,13],[3,4,5,7,11,13,14],[3,4,6,8,9,12,14],[3,4,7,8,10,11,13],[3,5,6,7,9,12,13],[3,5,6,8,10,11,14],[4,5,6,9,10,11,12]]; G[6993]:=Group([(1,9)(2,12)(4,13)(8,10)]); # Design 6994: autom. group order 2, simple, residual B[6994]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,9,10,12,14],[1,3,5,9,11,12,13],[1,3,6,7,9,10,14],[1,4,6,7,8,10,12],[1,4,6,11,12,13,14],[1,4,7,8,9,11,13],[1,5,7,8,12,13,14],[1,5,8,9,10,11,14],[2,3,7,8,11,12,14],[2,3,8,9,10,12,13],[2,4,5,7,9,11,14],[2,4,5,10,12,13,14],[2,4,6,8,9,13,14],[2,5,6,7,8,11,12],[2,6,7,9,10,11,13],[3,4,5,7,10,13,14],[3,4,6,9,11,12,14],[3,4,7,8,10,11,13],[3,5,6,7,9,12,13],[3,5,6,8,10,11,14],[4,5,6,8,9,10,12]]; G[6994]:=Group([(1,9)(2,12)(4,13)(8,11)]); # Design 6995: autom. group order 2, simple, residual B[6995]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,11,13,14],[1,2,8,9,10,11,13],[1,3,5,8,9,12,14],[1,3,6,7,8,12,13],[1,4,6,7,9,10,11],[1,4,6,7,9,12,14],[1,4,8,10,11,12,14],[1,5,7,8,11,12,13],[1,5,7,9,10,13,14],[2,3,7,8,9,10,14],[2,3,7,9,11,12,13],[2,4,5,7,8,11,14],[2,4,5,7,10,12,13],[2,4,6,8,9,12,13],[2,5,6,9,11,12,14],[2,6,7,8,10,12,14],[3,4,5,10,12,13,14],[3,4,6,8,11,13,14],[3,4,7,9,11,13,14],[3,5,6,7,8,10,11],[3,5,6,9,10,11,12],[4,5,6,8,9,10,13]]; G[6995]:=Group([(1,13)(2,14)(5,11)(7,8)]); # Design 6996: autom. group order 2, simple, residual B[6996]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,13,14],[1,2,8,10,11,12,13],[1,3,5,9,11,12,14],[1,3,6,7,9,11,13],[1,4,6,7,8,10,12],[1,4,6,9,11,12,14],[1,4,7,8,9,10,14],[1,5,7,8,12,13,14],[1,5,7,9,10,11,13],[2,3,7,8,11,12,14],[2,3,7,9,10,12,13],[2,4,5,7,10,11,14],[2,4,5,8,9,11,13],[2,4,6,7,9,12,13],[2,5,6,9,10,12,14],[2,6,7,8,9,11,14],[3,4,5,7,12,13,14],[3,4,6,10,11,13,14],[3,4,8,9,10,13,14],[3,5,6,7,8,10,11],[3,5,6,8,9,10,12],[4,5,6,8,11,12,13]]; G[6996]:=Group([(1,13)(2,14)(5,10)(7,11)]); # Design 6997: autom. group order 2, simple, residual B[6997]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,12,13,14],[1,3,5,7,9,12,14],[1,3,6,7,9,11,13],[1,4,6,8,9,10,14],[1,4,7,8,9,11,12],[1,4,7,8,10,13,14],[1,5,6,10,11,12,14],[1,5,9,10,11,12,13],[2,3,7,9,10,11,14],[2,3,8,9,10,12,13],[2,4,5,7,10,12,13],[2,4,5,9,11,13,14],[2,4,6,7,11,12,14],[2,5,6,8,9,12,14],[2,6,7,8,9,10,11],[3,4,5,8,10,11,14],[3,4,6,8,11,12,13],[3,4,6,9,12,13,14],[3,5,6,7,8,10,12],[3,5,7,8,11,13,14],[4,5,6,7,9,10,13]]; G[6997]:=Group([(2,12)(3,11)(4,10)(6,9)(7,13)(8,14)]); # Design 6998: autom. group order 2, simple, residual B[6998]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,6,11,13,14],[1,2,7,8,9,10,14],[1,3,5,8,12,13,14],[1,3,8,9,10,13,14],[1,4,6,7,9,12,14],[1,4,6,9,11,13,14],[1,4,7,8,11,12,13],[1,5,6,9,10,11,12],[1,5,7,8,10,11,12],[2,3,6,8,11,12,14],[2,3,7,9,11,12,14],[2,4,5,8,9,11,13],[2,4,5,9,10,12,14],[2,4,6,8,10,12,13],[2,5,7,10,11,13,14],[2,6,7,8,9,12,13],[3,4,5,7,12,13,14],[3,4,6,8,10,11,14],[3,4,7,9,10,11,13],[3,5,6,7,8,9,11],[3,5,6,9,10,12,13],[4,5,6,7,8,10,14]]; G[6998]:=Group([(2,12)(3,11)(4,10)(6,8)]); # Design 6999: autom. group order 2, simple, residual B[6999]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,6,11,13,14],[1,2,7,8,9,10,14],[1,3,5,8,12,13,14],[1,3,8,9,10,13,14],[1,4,6,7,9,12,14],[1,4,6,9,11,13,14],[1,4,7,8,11,12,13],[1,5,6,9,10,11,12],[1,5,7,8,10,11,12],[2,3,6,8,11,12,14],[2,3,7,9,11,12,13],[2,4,5,8,9,11,13],[2,4,5,10,12,13,14],[2,4,6,8,10,12,14],[2,5,7,9,10,11,14],[2,6,7,8,9,12,13],[3,4,5,7,9,12,14],[3,4,6,8,9,10,11],[3,4,7,10,11,13,14],[3,5,6,7,8,11,14],[3,5,6,9,10,12,13],[4,5,6,7,8,10,13]]; G[6999]:=Group([(2,12)(3,11)(4,10)(6,8)]); # Design 7000: autom. group order 2, simple, residual B[7000]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,6,10,11,13],[1,2,8,10,11,12,14],[1,3,5,10,12,13,14],[1,3,7,8,9,10,14],[1,4,6,7,8,11,14],[1,4,6,9,12,13,14],[1,4,7,9,11,12,13],[1,5,6,8,9,11,12],[1,5,7,8,9,10,13],[2,3,6,8,9,12,13],[2,3,7,9,11,12,14],[2,4,5,7,9,10,12],[2,4,5,8,11,13,14],[2,4,6,8,9,10,14],[2,5,7,9,11,13,14],[2,6,7,8,10,12,13],[3,4,5,8,12,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,13],[3,5,6,7,8,11,12],[3,5,6,9,10,11,14],[4,5,6,7,10,12,14]]; G[7000]:=Group([(1,10)(2,11)(5,13)(7,9)]); # Design 7001: autom. group order 2, simple, residual B[7001]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,6,10,11,13],[1,2,8,9,10,12,14],[1,3,5,10,12,13,14],[1,3,7,8,10,11,14],[1,4,6,7,8,9,14],[1,4,6,9,11,12,13],[1,4,7,8,11,12,13],[1,5,6,9,11,12,14],[1,5,7,8,9,10,13],[2,3,6,8,9,12,13],[2,3,7,9,11,12,14],[2,4,5,7,9,10,12],[2,4,5,8,11,13,14],[2,4,6,8,10,11,14],[2,5,7,9,11,13,14],[2,6,7,8,10,12,13],[3,4,5,8,12,13,14],[3,4,6,9,10,13,14],[3,4,7,9,10,11,13],[3,5,6,7,8,11,12],[3,5,6,8,9,10,11],[4,5,6,7,10,12,14]]; G[7001]:=Group([(2,11)(3,12)(5,13)(7,9)]); # Design 7002: autom. group order 2, simple, residual B[7002]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,6,10,11,13],[1,2,8,10,11,12,14],[1,3,5,9,10,12,14],[1,3,7,8,9,11,14],[1,4,6,7,8,10,12],[1,4,6,9,12,13,14],[1,4,7,8,9,10,13],[1,5,6,8,11,13,14],[1,5,7,9,11,12,13],[2,3,6,8,9,12,13],[2,3,7,8,11,12,13],[2,4,5,7,9,11,14],[2,4,5,8,10,13,14],[2,4,6,9,11,12,14],[2,5,7,9,10,12,13],[2,6,7,8,9,10,14],[3,4,5,8,12,13,14],[3,4,6,9,10,11,13],[3,4,7,10,11,13,14],[3,5,6,7,10,12,14],[3,5,6,8,9,10,11],[4,5,6,7,8,11,12]]; G[7002]:=Group([(1,11)(2,10)(5,13)(7,9)(8,14)]); # Design 7003: autom. group order 2, simple, residual B[7003]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,6,10,11,13],[1,2,8,9,10,13,14],[1,3,5,8,10,12,13],[1,3,7,9,10,12,14],[1,4,6,7,8,9,14],[1,4,6,9,11,12,13],[1,4,7,8,11,12,13],[1,5,6,9,11,12,14],[1,5,7,8,10,11,14],[2,3,6,8,11,12,14],[2,3,7,8,9,11,12],[2,4,5,7,12,13,14],[2,4,5,9,10,12,14],[2,4,6,8,10,11,14],[2,5,7,8,9,11,13],[2,6,7,9,10,12,13],[3,4,5,9,11,13,14],[3,4,6,8,9,10,13],[3,4,7,10,11,13,14],[3,5,6,7,9,10,11],[3,5,6,8,12,13,14],[4,5,6,7,8,10,12]]; G[7003]:=Group([(2,11)(3,12)(5,13)(7,9)]); # Design 7004: autom. group order 2, simple, residual B[7004]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,6,10,11,13],[1,2,8,10,12,13,14],[1,3,5,8,10,12,14],[1,3,7,8,9,11,14],[1,4,6,7,9,10,12],[1,4,6,9,11,12,14],[1,4,7,8,9,10,13],[1,5,6,9,11,13,14],[1,5,7,8,11,12,13],[2,3,6,8,9,12,13],[2,3,7,9,11,12,13],[2,4,5,7,8,11,14],[2,4,5,9,10,13,14],[2,4,6,8,11,12,14],[2,5,7,9,10,11,12],[2,6,7,8,9,10,14],[3,4,5,9,12,13,14],[3,4,6,8,10,11,13],[3,4,7,10,11,13,14],[3,5,6,7,10,12,14],[3,5,6,8,9,10,11],[4,5,6,7,8,12,13]]; G[7004]:=Group([(1,11)(2,10)(5,13)(7,8)(9,14)]); # Design 7005: autom. group order 2, simple, residual B[7005]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,6,10,11,13],[1,2,8,9,10,12,13],[1,3,5,8,11,12,14],[1,3,7,8,9,10,14],[1,4,6,7,9,11,12],[1,4,6,8,12,13,14],[1,4,7,8,9,11,13],[1,5,6,9,10,13,14],[1,5,7,10,11,12,14],[2,3,6,9,11,12,14],[2,3,7,9,10,12,13],[2,4,5,7,8,10,14],[2,4,5,9,11,13,14],[2,4,6,8,10,12,14],[2,5,7,8,11,12,13],[2,6,7,8,9,11,14],[3,4,5,9,12,13,14],[3,4,6,8,10,11,13],[3,4,7,10,11,13,14],[3,5,6,7,8,12,13],[3,5,6,8,9,10,11],[4,5,6,7,9,10,12]]; G[7005]:=Group([(1,10)(2,11)(5,13)(7,8)(9,14)]); # Design 7006: autom. group order 2, simple, residual B[7006]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,6,10,11,13],[1,2,8,9,10,13,14],[1,3,5,8,10,12,13],[1,3,7,9,10,12,14],[1,4,6,8,9,11,14],[1,4,6,8,9,12,13],[1,4,7,11,12,13,14],[1,5,6,7,9,11,12],[1,5,7,8,10,11,14],[2,3,6,8,11,12,14],[2,3,7,8,9,11,12],[2,4,5,9,10,12,14],[2,4,5,11,12,13,14],[2,4,6,7,8,10,14],[2,5,7,8,9,11,13],[2,6,7,9,10,12,13],[3,4,5,7,9,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,13],[3,5,6,8,12,13,14],[3,5,6,9,10,11,14],[4,5,6,7,8,10,12]]; G[7006]:=Group([(1,10)(2,11)(5,13)(7,9)]); # Design 7007: autom. group order 2, simple, residual B[7007]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,10,12,13,14],[1,3,5,7,11,12,14],[1,3,7,8,9,10,14],[1,4,6,7,9,12,13],[1,4,6,8,11,12,14],[1,4,7,8,9,11,13],[1,5,6,9,10,13,14],[1,5,8,9,10,11,12],[2,3,6,9,11,12,14],[2,3,8,9,10,12,13],[2,4,5,7,8,10,14],[2,4,5,9,11,13,14],[2,4,6,7,9,10,12],[2,5,7,8,11,12,13],[2,6,7,8,9,11,14],[3,4,5,9,12,13,14],[3,4,6,8,10,11,13],[3,4,7,10,11,13,14],[3,5,6,7,8,12,13],[3,5,6,7,9,10,11],[4,5,6,8,10,12,14]]; G[7007]:=Group([(1,10)(2,11)(5,13)(7,8)(9,14)]); # Design 7008: autom. group order 2, simple B[7008]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,11,13,14],[1,3,5,7,9,12,14],[1,3,7,8,9,10,13],[1,4,6,7,12,13,14],[1,4,6,8,9,10,14],[1,4,8,9,11,12,13],[1,5,6,10,11,12,14],[1,5,7,8,10,11,12],[2,3,6,7,8,11,12],[2,3,8,10,12,13,14],[2,4,5,8,12,13,14],[2,4,5,9,10,11,14],[2,4,6,7,9,10,12],[2,5,7,9,10,12,13],[2,6,7,8,9,11,14],[3,4,5,7,11,13,14],[3,4,6,9,11,12,13],[3,4,7,8,10,11,14],[3,5,6,8,9,12,14],[3,5,6,9,10,11,13],[4,5,6,7,8,10,13]]; G[7008]:=Group([(2,11)(3,12)(4,10)(6,8)(9,14)]); # Design 7009: autom. group order 2, simple, residual B[7009]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,9,10,12,13],[1,3,5,7,10,12,14],[1,3,7,8,9,11,14],[1,4,6,8,10,12,14],[1,4,6,9,11,12,14],[1,4,7,8,9,10,13],[1,5,6,9,11,13,14],[1,5,7,8,11,12,13],[2,3,6,7,12,13,14],[2,3,8,9,11,12,13],[2,4,5,7,8,11,14],[2,4,5,9,10,13,14],[2,4,6,7,9,11,12],[2,5,8,10,11,12,14],[2,6,7,8,9,10,14],[3,4,5,9,12,13,14],[3,4,6,8,10,11,13],[3,4,7,10,11,13,14],[3,5,6,7,9,10,11],[3,5,6,8,9,10,12],[4,5,6,7,8,12,13]]; G[7009]:=Group([(1,11)(2,10)(5,13)(7,8)(9,14)]); # Design 7010: autom. group order 2, simple B[7010]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,11,13,14],[1,3,5,7,9,12,14],[1,3,8,9,10,13,14],[1,4,6,7,8,10,14],[1,4,6,7,9,12,13],[1,4,7,8,11,12,13],[1,5,6,9,10,11,12],[1,5,8,10,11,12,14],[2,3,6,8,9,11,12],[2,3,7,8,10,12,13],[2,4,5,7,10,11,14],[2,4,5,8,12,13,14],[2,4,6,9,10,12,14],[2,5,7,9,10,12,13],[2,6,7,8,9,11,14],[3,4,5,9,11,13,14],[3,4,6,11,12,13,14],[3,4,7,8,9,10,11],[3,5,6,7,8,12,14],[3,5,6,7,10,11,13],[4,5,6,8,9,10,13]]; G[7010]:=Group([(2,11)(3,12)(4,10)(6,8)(7,14)]); # Design 7011: autom. group order 2, simple, residual B[7011]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,9,10,13,14],[1,3,5,9,10,12,13],[1,3,7,8,10,12,14],[1,4,6,7,9,11,14],[1,4,6,7,9,12,13],[1,4,8,11,12,13,14],[1,5,6,7,8,11,12],[1,5,8,9,10,11,14],[2,3,6,9,11,12,14],[2,3,7,8,9,11,12],[2,4,5,7,10,12,14],[2,4,5,11,12,13,14],[2,4,6,8,9,10,14],[2,5,7,8,9,11,13],[2,6,7,8,10,12,13],[3,4,5,7,8,13,14],[3,4,6,8,10,11,13],[3,4,7,9,10,11,13],[3,5,6,7,10,11,14],[3,5,6,9,12,13,14],[4,5,6,8,9,10,12]]; G[7011]:=Group([(1,10)(2,11)(5,13)(7,8)]); # Design 7012: autom. group order 2, simple, residual B[7012]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,11,13,14],[1,2,7,8,9,10,13],[1,3,5,8,12,13,14],[1,3,7,8,9,10,14],[1,4,6,7,9,11,14],[1,4,6,7,9,12,13],[1,4,8,11,12,13,14],[1,5,6,9,10,11,12],[1,5,7,8,10,11,12],[2,3,6,7,8,11,12],[2,3,7,9,11,12,14],[2,4,5,7,10,12,13],[2,4,5,8,9,11,14],[2,4,6,8,10,12,14],[2,5,7,9,12,13,14],[2,6,8,9,10,11,13],[3,4,5,9,10,11,13],[3,4,6,8,9,12,13],[3,4,7,10,11,13,14],[3,5,6,7,8,11,13],[3,5,6,9,10,12,14],[4,5,6,7,8,10,14]]; G[7012]:=Group([(2,12)(3,11)(4,10)(6,8)]); # Design 7013: autom. group order 2, simple B[7013]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,11,13,14],[1,2,7,8,9,10,14],[1,3,5,9,12,13,14],[1,3,7,9,10,13,14],[1,4,6,7,8,12,14],[1,4,6,7,11,13,14],[1,4,8,9,11,12,13],[1,5,6,8,10,11,12],[1,5,7,9,10,11,12],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,7,9,11,13],[2,4,5,10,12,13,14],[2,4,6,9,10,12,14],[2,5,7,8,10,11,14],[2,6,7,8,9,12,13],[3,4,5,7,8,12,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,13],[3,5,6,7,10,12,13],[3,5,6,8,9,11,14],[4,5,6,8,9,10,13]]; G[7013]:=Group([(2,12)(3,11)(4,10)(6,9)]); # Design 7014: autom. group order 2, simple, residual B[7014]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,8,9,10,11],[1,3,5,9,10,12,14],[1,3,7,8,11,12,14],[1,4,6,7,9,12,13],[1,4,6,7,10,12,14],[1,4,8,9,10,13,14],[1,5,6,9,11,13,14],[1,5,7,8,11,12,13],[2,3,6,7,9,12,13],[2,3,9,11,12,13,14],[2,4,5,7,9,11,14],[2,4,5,10,12,13,14],[2,4,6,8,11,12,14],[2,5,7,8,10,12,13],[2,6,7,8,9,10,14],[3,4,5,7,8,13,14],[3,4,6,8,10,11,13],[3,4,7,9,10,11,13],[3,5,6,7,10,11,14],[3,5,6,8,9,10,12],[4,5,6,8,9,11,12]]; G[7014]:=Group([(1,11)(2,10)(5,13)(7,8)]); # Design 7015: autom. group order 2, simple, residual B[7015]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,11,13,14],[1,2,7,8,9,10,14],[1,3,5,9,12,13,14],[1,3,7,9,10,13,14],[1,4,6,7,8,12,14],[1,4,6,7,11,13,14],[1,4,8,9,11,12,13],[1,5,6,8,10,11,12],[1,5,7,9,10,11,12],[2,3,6,9,11,12,14],[2,3,7,8,11,12,14],[2,4,5,7,9,11,13],[2,4,5,7,10,12,14],[2,4,6,9,10,12,13],[2,5,8,10,11,13,14],[2,6,7,8,9,12,13],[3,4,5,8,12,13,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,13],[3,5,6,7,8,9,11],[3,5,6,7,10,12,13],[4,5,6,8,9,10,14]]; G[7015]:=Group([(2,12)(3,11)(4,10)(6,9)]); # Design 7016: autom. group order 2, simple, residual B[7016]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,11,13,14],[1,2,7,8,9,10,13],[1,3,5,8,12,13,14],[1,3,7,8,9,10,14],[1,4,6,7,9,11,14],[1,4,6,7,9,12,13],[1,4,8,11,12,13,14],[1,5,6,9,10,11,12],[1,5,7,8,10,11,12],[2,3,6,8,9,11,12],[2,3,7,9,11,12,14],[2,4,5,7,8,11,14],[2,4,5,9,10,12,13],[2,4,6,8,10,12,14],[2,5,7,9,12,13,14],[2,6,7,8,10,11,13],[3,4,5,7,10,11,13],[3,4,6,7,8,12,13],[3,4,9,10,11,13,14],[3,5,6,7,10,12,14],[3,5,6,8,9,11,13],[4,5,6,8,9,10,14]]; G[7016]:=Group([(2,12)(3,11)(4,10)(6,8)]); # Design 7017: autom. group order 2, simple, residual B[7017]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,11,13,14],[1,2,7,8,9,10,14],[1,3,5,9,12,13,14],[1,3,7,9,10,13,14],[1,4,6,7,8,12,14],[1,4,6,7,11,13,14],[1,4,8,9,11,12,13],[1,5,6,8,10,11,12],[1,5,7,9,10,11,12],[2,3,6,9,11,12,14],[2,3,7,8,11,12,13],[2,4,5,7,9,11,13],[2,4,5,10,12,13,14],[2,4,6,9,10,12,14],[2,5,7,8,10,11,14],[2,6,7,8,9,12,13],[3,4,5,7,8,12,14],[3,4,6,7,9,10,11],[3,4,8,10,11,13,14],[3,5,6,7,10,12,13],[3,5,6,8,9,11,14],[4,5,6,8,9,10,13]]; G[7017]:=Group([(2,12)(3,11)(4,10)(6,9)]); # Design 7018: autom. group order 2, simple, residual B[7018]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,11,13,14],[1,2,7,8,9,10,13],[1,3,5,8,12,13,14],[1,3,7,9,10,11,14],[1,4,6,7,8,9,14],[1,4,6,9,11,12,13],[1,4,7,8,11,12,13],[1,5,6,7,9,10,12],[1,5,8,10,11,12,14],[2,3,6,7,8,11,12],[2,3,7,9,11,12,14],[2,4,5,7,10,12,13],[2,4,5,8,9,11,14],[2,4,6,8,10,12,14],[2,5,7,9,12,13,14],[2,6,8,9,10,11,13],[3,4,5,9,10,11,13],[3,4,6,9,12,13,14],[3,4,7,8,10,13,14],[3,5,6,7,8,11,13],[3,5,6,8,9,10,12],[4,5,6,7,10,11,14]]; G[7018]:=Group([(2,12)(3,11)(5,13)(6,8)]); # Design 7019: autom. group order 2, simple B[7019]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,10,12,14],[1,3,5,9,12,13,14],[1,3,7,8,9,10,13],[1,4,6,7,8,9,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,13],[1,5,6,7,10,11,14],[1,5,8,9,10,11,12],[2,3,6,7,9,11,12],[2,3,7,9,11,13,14],[2,4,5,7,10,12,13],[2,4,5,9,10,11,14],[2,4,6,8,9,12,14],[2,5,7,8,12,13,14],[2,6,8,9,10,11,13],[3,4,5,8,11,13,14],[3,4,6,8,10,12,13],[3,4,7,8,10,11,14],[3,5,6,7,8,11,12],[3,5,6,9,10,12,14],[4,5,6,7,9,10,13]]; G[7019]:=Group([(2,12)(3,11)(5,13)(6,9)(8,14)]); # Design 7020: autom. group order 2, simple, residual B[7020]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,11,13,14],[1,2,7,8,9,10,13],[1,3,5,8,12,13,14],[1,3,7,9,10,11,14],[1,4,6,7,8,9,14],[1,4,6,9,11,12,13],[1,4,7,8,11,12,13],[1,5,6,7,9,10,12],[1,5,8,10,11,12,14],[2,3,6,8,9,11,12],[2,3,7,9,11,12,14],[2,4,5,7,8,11,14],[2,4,5,9,10,12,13],[2,4,6,8,10,12,14],[2,5,7,9,12,13,14],[2,6,7,8,10,11,13],[3,4,5,7,10,11,13],[3,4,6,7,12,13,14],[3,4,8,9,10,13,14],[3,5,6,7,8,10,12],[3,5,6,8,9,11,13],[4,5,6,9,10,11,14]]; G[7020]:=Group([(2,12)(3,11)(5,13)(6,8)]); # Design 7021: autom. group order 2, simple, residual B[7021]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,9,10,13,14],[1,3,5,9,10,12,13],[1,3,7,8,10,12,14],[1,4,6,7,8,9,14],[1,4,6,8,11,12,13],[1,4,7,9,11,12,13],[1,5,6,7,11,12,14],[1,5,8,9,10,11,14],[2,3,6,9,11,12,14],[2,3,7,8,9,11,12],[2,4,5,7,10,12,14],[2,4,5,8,12,13,14],[2,4,6,9,10,11,14],[2,5,7,8,9,11,13],[2,6,7,8,10,12,13],[3,4,5,7,11,13,14],[3,4,6,7,9,10,13],[3,4,8,10,11,13,14],[3,5,6,7,8,10,11],[3,5,6,9,12,13,14],[4,5,6,8,9,10,12]]; G[7021]:=Group([(2,11)(3,12)(5,13)(7,8)]); # Design 7022: autom. group order 2, simple B[7022]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,11,12,14],[1,3,5,9,12,13,14],[1,3,7,8,9,10,14],[1,4,6,7,8,12,14],[1,4,6,9,11,12,13],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,5,7,9,10,11,13],[2,3,6,7,11,13,14],[2,3,7,8,9,12,13],[2,4,5,8,9,11,14],[2,4,5,10,12,13,14],[2,4,6,7,9,10,12],[2,5,7,8,10,12,13],[2,6,8,9,10,11,14],[3,4,5,7,10,11,14],[3,4,6,8,9,10,13],[3,4,8,11,12,13,14],[3,5,6,7,8,11,12],[3,5,6,9,10,11,12],[4,5,6,7,9,13,14]]; G[7022]:=Group([(1,11)(3,14)(4,9)(5,8)(7,10)]); # Design 7023: autom. group order 2, simple, residual B[7023]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,9,10,11,14],[1,3,5,9,10,12,13],[1,3,7,8,10,12,14],[1,4,6,7,8,9,13],[1,4,6,9,11,12,14],[1,4,7,8,11,12,13],[1,5,6,8,11,12,14],[1,5,7,9,10,13,14],[2,3,6,9,12,13,14],[2,3,7,8,9,11,14],[2,4,5,7,11,13,14],[2,4,5,8,10,12,14],[2,4,6,7,9,10,12],[2,5,8,9,11,12,13],[2,6,7,8,10,12,13],[3,4,5,7,12,13,14],[3,4,6,10,11,13,14],[3,4,8,9,10,11,13],[3,5,6,7,8,10,11],[3,5,6,7,9,11,12],[4,5,6,8,9,10,14]]; G[7023]:=Group([(1,10)(2,11)(5,13)(7,14)]); # Design 7024: autom. group order 2, simple, residual B[7024]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,13,14],[1,2,7,9,11,13,14],[1,3,5,9,10,12,13],[1,3,7,8,11,12,13],[1,4,6,7,8,9,10],[1,4,6,9,11,12,14],[1,4,7,8,10,12,14],[1,5,6,8,11,12,14],[1,5,7,9,10,11,13],[2,3,6,9,10,11,12],[2,3,7,8,9,11,14],[2,4,5,7,10,11,14],[2,4,5,8,11,12,13],[2,4,6,7,9,12,13],[2,5,8,9,10,12,14],[2,6,7,8,10,12,13],[3,4,5,7,12,13,14],[3,4,6,10,11,13,14],[3,4,8,9,10,13,14],[3,5,6,7,8,10,11],[3,5,6,7,9,12,14],[4,5,6,8,9,11,13]]; G[7024]:=Group([(1,13)(2,14)(5,10)(7,11)]); # Design 7025: autom. group order 2, simple, residual B[7025]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,12],[1,2,7,9,10,11,13],[1,3,5,9,12,13,14],[1,3,7,8,11,13,14],[1,4,6,7,8,9,13],[1,4,6,9,10,12,14],[1,4,8,10,11,12,13],[1,5,6,7,8,10,14],[1,5,7,9,11,12,14],[2,3,6,7,11,12,14],[2,3,7,8,9,12,13],[2,4,5,7,10,13,14],[2,4,5,8,12,13,14],[2,4,6,9,11,13,14],[2,5,8,9,10,11,14],[2,6,7,8,9,10,12],[3,4,5,7,9,10,11],[3,4,6,8,9,11,14],[3,4,7,8,10,12,14],[3,5,6,8,10,11,13],[3,5,6,9,10,12,13],[4,5,6,7,11,12,13]]; G[7025]:=Group([(1,14)(3,13)(6,10)(9,12)]); # Design 7026: autom. group order 2, simple, residual B[7026]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,12],[1,2,7,9,10,11,13],[1,3,5,9,12,13,14],[1,3,7,8,11,13,14],[1,4,6,8,9,11,13],[1,4,6,9,10,12,14],[1,4,7,8,10,12,13],[1,5,6,7,8,10,14],[1,5,7,9,11,12,14],[2,3,6,7,11,12,14],[2,3,7,8,9,12,13],[2,4,5,7,10,13,14],[2,4,5,8,12,13,14],[2,4,6,9,11,13,14],[2,5,8,9,10,11,14],[2,6,7,8,9,10,12],[3,4,5,7,9,10,11],[3,4,6,7,8,9,14],[3,4,8,10,11,12,14],[3,5,6,8,10,11,13],[3,5,6,9,10,12,13],[4,5,6,7,11,12,13]]; G[7026]:=Group([(1,14)(3,13)(6,10)(9,12)]); # Design 7027: autom. group order 2, simple, residual B[7027]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,9,10,12,14],[1,3,5,10,12,13,14],[1,3,8,9,10,11,14],[1,4,6,7,8,9,14],[1,4,6,8,11,12,13],[1,4,7,9,11,12,13],[1,5,6,7,11,12,14],[1,5,7,8,9,10,13],[2,3,6,7,9,12,13],[2,3,7,8,11,12,14],[2,4,5,7,8,10,12],[2,4,5,9,11,13,14],[2,4,6,9,10,11,14],[2,5,7,8,11,13,14],[2,6,8,9,10,12,13],[3,4,5,9,12,13,14],[3,4,6,7,10,13,14],[3,4,7,8,10,11,13],[3,5,6,7,9,10,11],[3,5,6,8,9,11,12],[4,5,6,8,10,12,14]]; G[7027]:=Group([(2,11)(3,12)(5,13)(7,8)]); # Design 7028: autom. group order 2, simple, residual B[7028]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,9,10,11,12,14],[1,3,5,7,10,12,14],[1,3,7,8,9,11,14],[1,4,6,7,9,12,13],[1,4,6,8,10,12,14],[1,4,7,8,9,10,13],[1,5,6,9,11,13,14],[1,5,7,8,11,12,13],[2,3,6,7,12,13,14],[2,3,8,9,11,12,13],[2,4,5,7,8,11,14],[2,4,5,9,10,13,14],[2,4,6,7,9,11,12],[2,5,7,8,10,12,13],[2,6,7,8,9,10,14],[3,4,5,9,12,13,14],[3,4,6,8,10,11,13],[3,4,7,10,11,13,14],[3,5,6,7,9,10,11],[3,5,6,8,9,10,12],[4,5,6,8,11,12,14]]; G[7028]:=Group([(1,11)(2,10)(5,13)(7,8)(9,14)]); # Design 7029: autom. group order 2, simple, residual B[7029]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,9,10,11,12,14],[1,3,5,10,12,13,14],[1,3,7,8,9,10,14],[1,4,6,7,12,13,14],[1,4,6,8,9,11,14],[1,4,7,8,11,12,13],[1,5,6,7,9,11,12],[1,5,7,8,9,10,13],[2,3,6,7,9,12,13],[2,3,7,8,11,12,14],[2,4,5,7,8,10,12],[2,4,5,9,11,13,14],[2,4,6,7,9,10,14],[2,5,7,8,11,13,14],[2,6,8,9,10,12,13],[3,4,5,9,12,13,14],[3,4,6,8,10,11,13],[3,4,7,9,10,11,13],[3,5,6,7,10,11,14],[3,5,6,8,9,11,12],[4,5,6,8,10,12,14]]; G[7029]:=Group([(1,10)(2,11)(5,13)(7,8)]); # Design 7030: autom. group order 2, simple B[7030]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,11,13,14],[1,3,5,7,9,12,14],[1,3,7,8,9,10,13],[1,4,6,7,8,10,14],[1,4,6,9,12,13,14],[1,4,7,8,11,12,13],[1,5,6,9,10,11,12],[1,5,8,10,11,12,14],[2,3,6,8,9,11,12],[2,3,8,10,12,13,14],[2,4,5,7,10,11,14],[2,4,5,9,12,13,14],[2,4,7,8,9,10,12],[2,5,6,7,10,12,13],[2,6,7,8,9,11,14],[3,4,5,8,11,13,14],[3,4,6,7,11,12,13],[3,4,6,9,10,11,14],[3,5,6,7,8,12,14],[3,5,7,9,10,11,13],[4,5,6,8,9,10,13]]; G[7030]:=Group([(2,11)(3,12)(4,10)(6,8)(7,14)]); # Design 7031: autom. group order 2, simple B[7031]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,11,13,14],[1,3,5,7,10,12,13],[1,3,7,8,9,11,12],[1,4,6,7,10,12,14],[1,4,6,8,9,12,14],[1,4,8,10,11,13,14],[1,5,6,7,9,11,14],[1,5,8,9,10,12,13],[2,3,6,8,9,10,14],[2,3,7,9,12,13,14],[2,4,5,7,8,12,14],[2,4,5,11,12,13,14],[2,4,7,8,9,10,13],[2,5,6,9,10,11,12],[2,6,7,8,10,11,12],[3,4,5,9,10,11,14],[3,4,6,7,8,11,13],[3,4,6,9,11,12,13],[3,5,6,8,12,13,14],[3,5,7,8,10,11,14],[4,5,6,7,9,10,13]]; G[7031]:=Group([(1,11)(3,12)(4,10)(5,6)(7,9)]); # Design 7032: autom. group order 2, simple, residual B[7032]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,7,9,10,12,13],[1,3,5,7,12,13,14],[1,3,7,8,9,10,14],[1,4,6,7,8,11,14],[1,4,6,9,10,12,14],[1,4,8,10,11,13,14],[1,5,6,7,9,11,13],[1,5,8,9,11,12,13],[2,3,6,9,11,13,14],[2,3,7,8,9,11,14],[2,4,5,7,10,13,14],[2,4,5,9,11,12,14],[2,4,7,8,11,12,13],[2,5,6,8,10,13,14],[2,6,7,8,9,10,12],[3,4,5,8,9,10,13],[3,4,6,7,8,12,13],[3,4,6,9,12,13,14],[3,5,6,8,10,11,12],[3,5,7,10,11,12,14],[4,5,6,7,9,10,11]]; G[7032]:=Group([(1,10)(2,11)(4,12)(7,8)(9,14)]); # Design 7033: autom. group order 2, simple B[7033]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,11,13,14],[1,3,5,7,9,12,14],[1,3,7,8,10,13,14],[1,4,6,7,9,12,13],[1,4,6,8,9,10,14],[1,4,8,9,11,12,13],[1,5,6,10,11,12,14],[1,5,7,8,10,11,12],[2,3,6,7,8,11,12],[2,3,8,9,10,12,13],[2,4,5,7,12,13,14],[2,4,5,9,10,11,14],[2,4,7,8,10,12,14],[2,5,6,9,10,12,13],[2,6,7,8,9,11,14],[3,4,5,8,11,13,14],[3,4,6,7,9,10,11],[3,4,6,11,12,13,14],[3,5,6,8,9,12,14],[3,5,7,9,10,11,13],[4,5,6,7,8,10,13]]; G[7033]:=Group([(2,11)(3,12)(4,10)(6,8)(9,14)]); # Design 7034: autom. group order 2, simple, residual B[7034]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,11,12,14],[1,2,7,9,11,12,13],[1,3,5,7,10,13,14],[1,3,7,8,11,13,14],[1,4,6,8,9,11,14],[1,4,6,10,12,13,14],[1,4,7,8,9,10,12],[1,5,6,7,9,12,13],[1,5,8,9,10,11,14],[2,3,6,7,9,11,14],[2,3,8,9,12,13,14],[2,4,5,7,8,12,14],[2,4,5,10,11,13,14],[2,4,7,9,10,11,13],[2,5,6,8,9,10,13],[2,6,7,8,10,12,14],[3,4,5,9,12,13,14],[3,4,6,7,9,10,14],[3,4,6,8,11,12,13],[3,5,6,9,10,11,12],[3,5,7,8,10,11,12],[4,5,6,7,8,11,13]]; G[7034]:=Group([(1,12)(2,11)(4,10)(7,9)]); # Design 7035: autom. group order 2, simple, residual B[7035]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,9,12,13],[1,3,5,7,9,12,14],[1,3,7,8,11,13,14],[1,4,6,9,10,13,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,5,8,10,11,12,14],[2,3,6,8,10,12,14],[2,3,7,9,10,11,13],[2,4,5,8,12,13,14],[2,4,5,9,10,11,14],[2,4,7,11,12,13,14],[2,5,6,7,9,11,14],[2,6,7,8,9,10,12],[3,4,5,7,10,12,13],[3,4,6,7,8,11,14],[3,4,6,8,9,11,12],[3,5,6,9,12,13,14],[3,5,8,9,10,11,13],[4,5,6,7,8,10,13]]; G[7035]:=Group([(2,11)(3,12)(4,10)(9,14)]); # Design 7036: autom. group order 2, simple, residual B[7036]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,12,13,14],[1,3,5,7,9,12,14],[1,3,7,8,9,11,13],[1,4,6,9,10,13,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,12],[1,5,8,10,11,12,14],[2,3,6,8,9,10,12],[2,3,7,10,11,13,14],[2,4,5,8,12,13,14],[2,4,5,9,10,11,14],[2,4,7,9,11,12,13],[2,5,6,7,9,11,14],[2,6,7,8,9,10,12],[3,4,5,7,10,12,13],[3,4,6,7,8,11,14],[3,4,6,8,11,12,14],[3,5,6,9,12,13,14],[3,5,8,9,10,11,13],[4,5,6,7,8,10,13]]; G[7036]:=Group([(2,11)(3,12)(4,10)(9,14)]); # Design 7037: autom. group order 2, simple, residual B[7037]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,12,13,14],[1,2,7,8,10,11,14],[1,3,5,7,12,13,14],[1,3,7,9,10,13,14],[1,4,6,8,9,10,13],[1,4,6,9,11,12,14],[1,4,7,8,11,12,14],[1,5,6,7,8,9,11],[1,5,8,9,10,12,13],[2,3,6,8,9,12,14],[2,3,8,9,11,13,14],[2,4,5,7,9,11,13],[2,4,5,9,10,12,14],[2,4,7,8,10,12,13],[2,5,6,7,8,10,14],[2,6,7,9,11,12,13],[3,4,5,8,11,13,14],[3,4,6,7,8,12,13],[3,4,6,7,9,10,14],[3,5,6,8,10,11,12],[3,5,7,9,10,11,12],[4,5,6,10,11,13,14]]; G[7037]:=Group([(1,11)(2,10)(4,12)(7,8)]); # Design 7038: autom. group order 2, simple B[7038]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,7,9,10,11,14],[1,3,5,7,12,13,14],[1,3,7,8,10,13,14],[1,4,6,8,9,10,13],[1,4,6,11,12,13,14],[1,4,7,8,9,11,12],[1,5,6,7,9,11,14],[1,5,8,9,10,12,13],[2,3,6,8,9,12,14],[2,3,8,9,11,13,14],[2,4,5,7,8,11,13],[2,4,5,10,12,13,14],[2,4,7,9,10,12,14],[2,5,6,7,9,10,13],[2,6,7,8,11,12,13],[3,4,5,9,11,13,14],[3,4,6,7,8,10,14],[3,4,6,7,9,12,13],[3,5,6,9,10,11,12],[3,5,7,8,10,11,12],[4,5,6,8,10,11,14]]; G[7038]:=Group([(1,11)(2,10)(4,12)(7,9)]); # Design 7039: autom. group order 2, simple, residual B[7039]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,11,12,14],[1,2,7,9,11,12,13],[1,3,5,7,11,13,14],[1,3,7,8,9,12,14],[1,4,6,8,12,13,14],[1,4,6,9,10,11,14],[1,4,7,9,10,11,13],[1,5,6,8,9,10,13],[1,5,7,8,10,12,14],[2,3,6,7,9,10,14],[2,3,8,9,11,13,14],[2,4,5,8,11,13,14],[2,4,5,9,10,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,12,13],[2,6,7,8,10,11,14],[3,4,5,7,10,13,14],[3,4,6,7,8,11,12],[3,4,6,9,12,13,14],[3,5,6,10,11,12,13],[3,5,8,9,10,11,12],[4,5,6,7,8,9,11]]; G[7039]:=Group([(1,11)(2,12)(4,10)(7,13)]); # Design 7040: autom. group order 2, simple B[7040]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,11,13,14],[1,3,5,7,10,12,14],[1,3,8,11,12,13,14],[1,4,6,7,10,12,13],[1,4,6,8,9,12,13],[1,4,7,8,9,10,11],[1,5,6,7,9,11,14],[1,5,8,9,10,12,14],[2,3,6,8,9,10,14],[2,3,7,8,9,12,13],[2,4,5,7,8,12,14],[2,4,5,11,12,13,14],[2,4,7,9,10,13,14],[2,5,6,9,10,11,12],[2,6,7,8,10,11,12],[3,4,5,9,10,11,13],[3,4,6,7,8,11,14],[3,4,6,9,11,12,14],[3,5,6,7,9,12,13],[3,5,7,8,10,11,13],[4,5,6,8,10,13,14]]; G[7040]:=Group([(1,11)(3,12)(4,10)(5,6)(7,9)]); # Design 7041: autom. group order 2, simple B[7041]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,11,13,14],[1,3,5,7,10,12,14],[1,3,8,11,12,13,14],[1,4,6,7,10,12,13],[1,4,6,8,9,12,14],[1,4,7,8,9,10,11],[1,5,6,7,9,11,14],[1,5,8,9,10,12,13],[2,3,6,8,9,10,14],[2,3,7,8,9,12,13],[2,4,5,7,8,12,14],[2,4,5,11,12,13,14],[2,4,7,9,10,13,14],[2,5,6,9,10,11,12],[2,6,7,8,10,11,12],[3,4,5,9,10,11,13],[3,4,6,7,8,11,13],[3,4,6,9,11,12,14],[3,5,6,7,9,12,13],[3,5,7,8,10,11,14],[4,5,6,8,10,13,14]]; G[7041]:=Group([(1,11)(3,12)(4,10)(5,6)(7,9)]); # Design 7042: autom. group order 2, simple, residual B[7042]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,11,13,14],[1,2,7,8,10,12,13],[1,3,5,7,9,12,14],[1,3,8,9,10,13,14],[1,4,6,7,8,9,13],[1,4,6,8,11,12,14],[1,4,9,11,12,13,14],[1,5,6,7,8,10,11],[1,5,7,9,10,11,12],[2,3,6,8,9,11,12],[2,3,7,8,11,12,13],[2,4,5,7,12,13,14],[2,4,5,9,10,11,13],[2,4,7,8,9,10,14],[2,5,6,8,9,12,14],[2,6,7,9,10,11,14],[3,4,5,8,10,11,14],[3,4,6,7,9,11,13],[3,4,6,7,10,12,14],[3,5,6,9,10,12,13],[3,5,7,8,11,13,14],[4,5,6,8,10,12,13]]; G[7042]:=Group([(2,12)(3,11)(5,14)(6,9)(7,13)]); # Design 7043: autom. group order 2, simple B[7043]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,10,11,14],[1,3,5,7,12,13,14],[1,3,8,9,10,13,14],[1,4,6,7,8,9,14],[1,4,6,9,11,12,13],[1,4,8,11,12,13,14],[1,5,6,7,9,10,12],[1,5,7,8,10,11,12],[2,3,6,8,9,11,12],[2,3,7,9,11,12,14],[2,4,5,7,11,13,14],[2,4,5,8,10,12,14],[2,4,7,8,9,10,13],[2,5,6,9,12,13,14],[2,6,7,8,10,12,13],[3,4,5,9,10,12,13],[3,4,6,7,8,12,14],[3,4,6,7,10,11,13],[3,5,6,8,10,11,14],[3,5,7,8,9,11,13],[4,5,6,9,10,11,14]]; G[7043]:=Group([(2,11)(3,12)(5,13)(6,8)(7,14)]); # Design 7044: autom. group order 2, simple, residual B[7044]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,11,13,14],[1,2,7,8,9,10,13],[1,3,5,8,12,13,14],[1,3,7,8,9,10,14],[1,4,6,7,9,11,14],[1,4,6,7,9,12,13],[1,4,8,11,12,13,14],[1,5,6,9,10,11,12],[1,5,7,8,10,11,12],[2,3,6,7,8,11,12],[2,3,7,9,11,12,13],[2,4,5,8,9,11,13],[2,4,5,9,10,12,14],[2,4,7,10,12,13,14],[2,5,6,7,8,12,14],[2,6,8,9,10,11,14],[3,4,5,7,10,11,14],[3,4,6,8,9,12,14],[3,4,6,8,10,11,13],[3,5,6,9,10,12,13],[3,5,7,9,11,13,14],[4,5,6,7,8,10,13]]; G[7044]:=Group([(2,12)(3,11)(4,10)(6,8)]); # Design 7045: autom. group order 2, simple, residual B[7045]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,11,13,14],[1,2,7,8,9,10,13],[1,3,5,8,12,13,14],[1,3,7,8,9,10,14],[1,4,6,7,9,11,14],[1,4,6,7,9,12,13],[1,4,8,11,12,13,14],[1,5,6,9,10,11,12],[1,5,7,8,10,11,12],[2,3,6,8,9,11,12],[2,3,7,9,11,12,13],[2,4,5,7,8,11,13],[2,4,5,7,10,12,14],[2,4,9,10,12,13,14],[2,5,6,8,9,12,14],[2,6,7,8,10,11,14],[3,4,5,9,10,11,14],[3,4,6,7,8,12,14],[3,4,6,8,10,11,13],[3,5,6,7,10,12,13],[3,5,7,9,11,13,14],[4,5,6,8,9,10,13]]; G[7045]:=Group([(2,12)(3,11)(4,10)(6,8)]); # Design 7046: autom. group order 2, simple B[7046]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,10,13,14],[1,3,5,9,12,13,14],[1,3,7,8,10,11,14],[1,4,6,7,8,9,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,13],[1,5,6,7,8,10,12],[1,5,8,9,10,11,12],[2,3,6,7,9,11,12],[2,3,7,8,9,12,13],[2,4,5,8,12,13,14],[2,4,5,9,10,11,14],[2,4,7,8,10,11,13],[2,5,6,7,11,12,14],[2,6,8,9,10,12,14],[3,4,5,7,10,12,14],[3,4,6,8,9,11,14],[3,4,6,8,10,12,13],[3,5,6,9,10,11,13],[3,5,7,8,11,13,14],[4,5,6,7,9,10,13]]; G[7046]:=Group([(2,12)(3,11)(5,13)(6,9)(8,14)]); # Design 7047: autom. group order 2, simple B[7047]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,10,13,14],[1,3,5,9,12,13,14],[1,3,7,8,10,11,14],[1,4,6,7,8,9,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,13],[1,5,6,7,8,10,12],[1,5,8,9,10,11,12],[2,3,6,7,9,11,12],[2,3,7,8,9,12,13],[2,4,5,8,12,13,14],[2,4,5,9,10,11,14],[2,4,7,8,10,12,14],[2,5,6,7,11,12,14],[2,6,8,9,10,11,13],[3,4,5,7,10,11,13],[3,4,6,8,9,11,14],[3,4,6,8,10,12,13],[3,5,6,9,10,12,14],[3,5,7,8,11,13,14],[4,5,6,7,9,10,13]]; G[7047]:=Group([(2,12)(3,11)(5,13)(6,9)(8,14)]); # Design 7048: autom. group order 2, simple B[7048]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,10,11,14],[1,3,5,9,12,13,14],[1,3,7,8,9,10,13],[1,4,6,7,8,9,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,13],[1,5,6,7,10,12,14],[1,5,8,9,10,11,12],[2,3,6,7,8,11,12],[2,3,7,9,11,12,14],[2,4,5,8,10,12,14],[2,4,5,9,11,13,14],[2,4,7,8,10,13,14],[2,5,6,7,9,12,13],[2,6,8,9,10,12,13],[3,4,5,7,10,12,13],[3,4,6,8,9,12,14],[3,4,6,9,10,11,13],[3,5,6,8,10,11,14],[3,5,7,8,11,13,14],[4,5,6,7,9,10,11]]; G[7048]:=Group([(2,11)(3,12)(5,13)(6,8)(9,14)]); # Design 7049: autom. group order 2, simple, residual B[7049]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,10,12,14],[1,3,5,9,12,13,14],[1,3,7,8,9,10,13],[1,4,6,7,8,9,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,13],[1,5,6,7,10,11,14],[1,5,8,9,10,11,12],[2,3,6,7,9,11,12],[2,3,7,8,11,12,14],[2,4,5,8,12,13,14],[2,4,5,9,10,11,14],[2,4,7,9,10,13,14],[2,5,6,7,9,12,13],[2,6,8,9,10,11,13],[3,4,5,7,10,11,13],[3,4,6,8,9,11,14],[3,4,6,8,10,12,13],[3,5,6,9,10,12,14],[3,5,7,8,11,13,14],[4,5,6,7,8,10,12]]; G[7049]:=Group([(2,12)(3,11)(5,13)(6,9)(8,14)]); # Design 7050: autom. group order 2, simple, residual B[7050]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,11,13,14],[1,2,7,8,10,12,13],[1,3,5,9,12,13,14],[1,3,7,8,9,10,14],[1,4,6,7,8,9,13],[1,4,6,8,11,12,14],[1,4,7,9,11,12,14],[1,5,6,7,8,10,11],[1,5,9,10,11,12,13],[2,3,6,8,9,11,12],[2,3,7,8,11,12,13],[2,4,5,7,9,11,13],[2,4,5,7,10,12,14],[2,4,8,9,10,13,14],[2,5,6,8,9,12,14],[2,6,7,9,10,11,14],[3,4,5,8,10,11,14],[3,4,6,7,12,13,14],[3,4,6,9,10,11,13],[3,5,6,7,9,10,12],[3,5,7,8,11,13,14],[4,5,6,8,10,12,13]]; G[7050]:=Group([(2,12)(3,11)(5,14)(6,9)]); # Design 7051: autom. group order 2, simple, residual B[7051]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,9,10,13],[1,3,5,8,9,12,14],[1,3,7,9,12,13,14],[1,4,6,7,9,10,14],[1,4,6,9,11,12,13],[1,4,7,8,11,13,14],[1,5,6,7,10,11,12],[1,5,8,10,11,12,14],[2,3,6,9,11,12,14],[2,3,7,8,10,11,14],[2,4,5,7,12,13,14],[2,4,5,10,12,13,14],[2,4,7,8,9,11,12],[2,5,6,7,9,11,14],[2,6,8,9,10,12,13],[3,4,5,9,10,11,13],[3,4,6,7,8,10,12],[3,4,6,8,11,13,14],[3,5,6,7,8,12,13],[3,5,7,9,10,11,13],[4,5,6,8,9,10,14]]; G[7051]:=Group([(2,11)(3,12)(4,10)(9,14)]); # Design 7052: autom. group order 2, simple, residual B[7052]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,10,13,14],[1,3,5,8,9,12,14],[1,3,7,9,12,13,14],[1,4,6,7,9,10,14],[1,4,6,9,11,12,13],[1,4,7,8,9,11,13],[1,5,6,7,10,11,12],[1,5,8,10,11,12,14],[2,3,6,9,11,12,14],[2,3,7,8,9,10,11],[2,4,5,7,12,13,14],[2,4,5,9,10,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,11,14],[2,6,8,9,10,12,13],[3,4,5,10,11,13,14],[3,4,6,7,8,10,12],[3,4,6,8,11,13,14],[3,5,6,7,8,12,13],[3,5,7,9,10,11,13],[4,5,6,8,9,10,14]]; G[7052]:=Group([(2,11)(3,12)(4,10)(9,14)]); # Design 7053: autom. group order 2, simple B[7053]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,9,11,14],[1,3,5,8,10,12,14],[1,3,7,11,12,13,14],[1,4,6,7,9,10,12],[1,4,6,9,12,13,14],[1,4,8,9,10,11,13],[1,5,6,7,9,11,14],[1,5,7,8,10,12,13],[2,3,6,7,9,10,13],[2,3,7,8,9,12,14],[2,4,5,7,11,12,13],[2,4,5,9,12,13,14],[2,4,7,8,10,13,14],[2,5,6,10,11,12,14],[2,6,8,9,10,11,12],[3,4,5,9,10,11,14],[3,4,6,7,8,11,12],[3,4,6,8,11,13,14],[3,5,6,8,9,12,13],[3,5,7,9,10,11,13],[4,5,6,7,8,10,14]]; G[7053]:=Group([(1,11)(3,12)(4,10)(5,6)(7,14)]); # Design 7054: autom. group order 2, simple B[7054]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,9,11,14],[1,3,5,8,10,12,14],[1,3,7,11,12,13,14],[1,4,6,7,9,10,12],[1,4,6,8,12,13,14],[1,4,8,9,10,11,13],[1,5,6,7,9,11,14],[1,5,7,9,10,12,13],[2,3,6,7,9,10,13],[2,3,7,8,9,12,14],[2,4,5,7,11,12,13],[2,4,5,9,12,13,14],[2,4,7,8,10,13,14],[2,5,6,10,11,12,14],[2,6,8,9,10,11,12],[3,4,5,9,10,11,14],[3,4,6,7,8,11,12],[3,4,6,9,11,13,14],[3,5,6,8,9,12,13],[3,5,7,8,10,11,13],[4,5,6,7,8,10,14]]; G[7054]:=Group([(1,11)(3,12)(4,10)(5,6)(7,14)]); # Design 7055: autom. group order 2, simple B[7055]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,9,11,14],[1,3,5,9,10,12,14],[1,3,8,9,11,12,13],[1,4,6,7,8,10,12],[1,4,6,9,12,13,14],[1,4,7,10,11,13,14],[1,5,6,7,9,11,14],[1,5,7,8,10,12,13],[2,3,6,7,9,10,13],[2,3,7,8,12,13,14],[2,4,5,7,11,12,13],[2,4,5,9,12,13,14],[2,4,7,8,9,10,14],[2,5,6,10,11,12,14],[2,6,8,9,10,11,12],[3,4,5,8,10,11,14],[3,4,6,7,9,11,12],[3,4,6,8,11,13,14],[3,5,6,7,8,12,14],[3,5,7,9,10,11,13],[4,5,6,8,9,10,13]]; G[7055]:=Group([(1,11)(3,12)(4,10)(5,6)(7,14)]); # Design 7056: autom. group order 2, simple B[7056]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,9,11,14],[1,3,5,9,10,12,14],[1,3,8,9,11,12,13],[1,4,6,7,8,10,12],[1,4,6,8,12,13,14],[1,4,7,10,11,13,14],[1,5,6,7,9,11,14],[1,5,7,9,10,12,13],[2,3,6,7,9,10,13],[2,3,7,8,12,13,14],[2,4,5,7,11,12,13],[2,4,5,9,12,13,14],[2,4,7,8,9,10,14],[2,5,6,10,11,12,14],[2,6,8,9,10,11,12],[3,4,5,8,10,11,14],[3,4,6,7,9,11,12],[3,4,6,9,11,13,14],[3,5,6,7,8,12,14],[3,5,7,8,10,11,13],[4,5,6,8,9,10,13]]; G[7056]:=Group([(1,11)(3,12)(4,10)(5,6)(7,14)]); # Design 7057: autom. group order 2, simple B[7057]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,9,10,11,13,14],[1,3,5,7,12,13,14],[1,3,7,8,9,10,14],[1,4,6,7,8,11,14],[1,4,6,9,10,12,14],[1,4,7,8,10,12,13],[1,5,6,7,9,11,13],[1,5,8,9,11,12,13],[2,3,6,7,9,12,13],[2,3,7,8,9,11,14],[2,4,5,7,10,13,14],[2,4,5,9,11,12,14],[2,4,7,8,11,12,13],[2,5,6,8,10,13,14],[2,6,7,8,9,10,12],[3,4,5,8,9,10,13],[3,4,6,8,11,13,14],[3,4,6,9,12,13,14],[3,5,6,8,10,11,12],[3,5,7,10,11,12,14],[4,5,6,7,9,10,11]]; G[7057]:=Group([(1,10)(2,11)(4,12)(7,8)(9,14)]); # Design 7058: autom. group order 2, simple, residual B[7058]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,12,13,14],[1,3,5,7,9,12,14],[1,3,7,8,11,13,14],[1,4,6,7,9,10,13],[1,4,6,8,9,10,14],[1,4,7,8,9,11,12],[1,5,6,10,11,12,14],[1,5,9,10,11,12,13],[2,3,7,9,10,11,14],[2,3,8,9,10,12,13],[2,4,5,7,10,12,13],[2,4,5,9,11,13,14],[2,4,6,7,11,12,14],[2,5,6,8,9,12,14],[2,6,7,8,9,10,11],[3,4,5,8,10,11,14],[3,4,6,8,11,12,13],[3,4,6,9,12,13,14],[3,5,6,7,8,10,12],[3,5,6,7,9,11,13],[4,5,7,8,10,13,14]]; G[7058]:=Group([(2,12)(3,11)(4,10)(6,9)(7,13)(8,14)]); # Design 7059: autom. group order 2, simple, residual B[7059]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,12,13,14],[1,3,5,7,9,12,14],[1,3,7,8,11,13,14],[1,4,6,7,9,10,13],[1,4,6,8,9,10,14],[1,4,7,8,9,11,12],[1,5,6,10,11,12,14],[1,5,9,10,11,12,13],[2,3,7,9,10,11,14],[2,3,8,9,10,12,13],[2,4,5,8,10,12,14],[2,4,5,9,11,13,14],[2,4,6,7,11,12,14],[2,5,6,7,9,12,13],[2,6,7,8,9,10,11],[3,4,5,7,10,11,13],[3,4,6,8,11,12,13],[3,4,6,9,12,13,14],[3,5,6,7,8,10,12],[3,5,6,8,9,11,14],[4,5,7,8,10,13,14]]; G[7059]:=Group([(2,12)(3,11)(4,10)(6,9)(7,13)(8,14)]); # Design 7060: autom. group order 2, simple B[7060]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,11,13,14],[1,2,7,8,9,10,13],[1,3,5,7,8,12,13],[1,3,7,9,10,11,14],[1,4,6,7,8,9,14],[1,4,6,9,11,12,13],[1,4,8,11,12,13,14],[1,5,6,9,10,12,14],[1,5,7,8,10,11,12],[2,3,7,9,11,12,14],[2,3,8,9,12,13,14],[2,4,5,7,12,13,14],[2,4,5,8,10,11,14],[2,4,6,8,9,10,12],[2,5,6,7,9,11,12],[2,6,7,8,10,11,13],[3,4,5,9,10,11,13],[3,4,6,7,8,11,14],[3,4,6,7,10,12,13],[3,5,6,8,9,11,13],[3,5,6,8,10,12,14],[4,5,7,9,10,13,14]]; G[7060]:=Group([(2,12)(3,11)(5,13)(6,8)(7,14)]); # Design 7061: autom. group order 2, simple, residual B[7061]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,11,13,14],[1,2,7,8,9,10,13],[1,3,5,7,8,12,13],[1,3,7,9,10,11,14],[1,4,6,7,8,9,14],[1,4,6,9,11,12,13],[1,4,8,11,12,13,14],[1,5,6,9,10,12,14],[1,5,7,8,10,11,12],[2,3,7,9,11,12,14],[2,3,8,9,12,13,14],[2,4,5,8,10,11,14],[2,4,5,9,10,12,13],[2,4,6,7,8,12,14],[2,5,6,7,9,11,12],[2,6,7,8,10,11,13],[3,4,5,7,11,13,14],[3,4,6,7,10,12,13],[3,4,6,8,9,10,11],[3,5,6,8,9,11,13],[3,5,6,8,10,12,14],[4,5,7,9,10,13,14]]; G[7061]:=Group([(2,12)(3,11)(5,13)(6,8)(7,14)]); # Design 7062: autom. group order 2, simple, residual B[7062]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,11,13,14],[1,2,7,8,10,12,13],[1,3,5,7,9,12,14],[1,3,8,9,10,13,14],[1,4,6,7,8,9,13],[1,4,6,8,11,12,14],[1,4,9,11,12,13,14],[1,5,6,7,8,10,11],[1,5,7,9,10,11,12],[2,3,7,8,9,11,14],[2,3,7,8,11,12,13],[2,4,5,7,12,13,14],[2,4,5,9,10,11,13],[2,4,6,8,9,10,12],[2,5,6,8,9,12,14],[2,6,7,9,10,11,14],[3,4,5,8,10,11,14],[3,4,6,7,9,11,13],[3,4,6,7,10,12,14],[3,5,6,8,11,12,13],[3,5,6,9,10,12,13],[4,5,7,8,10,13,14]]; G[7062]:=Group([(2,12)(3,11)(5,14)(6,9)(7,13)]); # Design 7063: autom. group order 2, simple B[7063]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,11,13,14],[1,2,7,8,10,12,13],[1,3,5,7,9,12,14],[1,3,8,9,10,13,14],[1,4,6,7,8,9,13],[1,4,6,8,11,12,14],[1,4,9,11,12,13,14],[1,5,6,7,8,10,11],[1,5,7,9,10,11,12],[2,3,7,8,9,11,14],[2,3,7,8,11,12,13],[2,4,5,8,10,12,14],[2,4,5,9,10,11,13],[2,4,6,7,9,12,13],[2,5,6,8,9,12,14],[2,6,7,9,10,11,14],[3,4,5,7,11,13,14],[3,4,6,7,10,12,14],[3,4,6,8,9,10,11],[3,5,6,8,11,12,13],[3,5,6,9,10,12,13],[4,5,7,8,10,13,14]]; G[7063]:=Group([(2,12)(3,11)(5,14)(6,9)(7,13)]); # Design 7064: autom. group order 2, simple, residual B[7064]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,10,13,14],[1,3,5,9,12,13,14],[1,3,7,8,10,11,14],[1,4,6,7,8,9,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,13],[1,5,6,7,8,10,12],[1,5,8,9,10,11,12],[2,3,7,8,9,12,13],[2,3,7,8,11,12,14],[2,4,5,7,10,12,13],[2,4,5,9,10,11,14],[2,4,6,8,9,12,14],[2,5,6,7,11,12,14],[2,6,8,9,10,11,13],[3,4,5,8,11,13,14],[3,4,6,7,9,10,11],[3,4,6,8,10,12,13],[3,5,6,7,9,11,13],[3,5,6,9,10,12,14],[4,5,7,8,10,13,14]]; G[7064]:=Group([(2,12)(3,11)(5,13)(6,9)(8,14)]); # Design 7065: autom. group order 2, simple B[7065]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,10,12,14],[1,3,5,9,12,13,14],[1,3,7,8,9,10,13],[1,4,6,7,8,9,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,13],[1,5,6,7,10,11,14],[1,5,8,9,10,11,12],[2,3,7,8,11,12,14],[2,3,7,9,11,13,14],[2,4,5,7,10,12,13],[2,4,5,9,10,11,14],[2,4,6,8,9,12,14],[2,5,6,7,9,12,13],[2,6,8,9,10,11,13],[3,4,5,8,11,13,14],[3,4,6,7,9,10,11],[3,4,6,8,10,12,13],[3,5,6,7,8,11,12],[3,5,6,9,10,12,14],[4,5,7,8,10,13,14]]; G[7065]:=Group([(2,12)(3,11)(5,13)(6,9)(8,14)]); # Design 7066: autom. group order 2, simple B[7066]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,10,13,14],[1,3,5,9,12,13,14],[1,3,7,8,10,11,14],[1,4,6,7,8,9,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,13],[1,5,6,7,8,10,12],[1,5,8,9,10,11,12],[2,3,7,8,9,12,13],[2,3,7,8,11,12,14],[2,4,5,8,12,13,14],[2,4,5,9,10,11,14],[2,4,6,7,9,10,12],[2,5,6,7,11,12,14],[2,6,8,9,10,11,13],[3,4,5,7,10,11,13],[3,4,6,8,9,11,14],[3,4,6,8,10,12,13],[3,5,6,7,9,11,13],[3,5,6,9,10,12,14],[4,5,7,8,10,13,14]]; G[7066]:=Group([(2,12)(3,11)(5,13)(6,9)(8,14)]); # Design 7067: autom. group order 2, simple, residual B[7067]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,10,12,14],[1,3,5,9,12,13,14],[1,3,7,8,9,10,13],[1,4,6,7,8,9,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,13],[1,5,6,7,10,11,14],[1,5,8,9,10,11,12],[2,3,7,8,11,12,14],[2,3,7,9,11,13,14],[2,4,5,8,12,13,14],[2,4,5,9,10,11,14],[2,4,6,7,9,10,12],[2,5,6,7,9,12,13],[2,6,8,9,10,11,13],[3,4,5,7,10,11,13],[3,4,6,8,9,11,14],[3,4,6,8,10,12,13],[3,5,6,7,8,11,12],[3,5,6,9,10,12,14],[4,5,7,8,10,13,14]]; G[7067]:=Group([(2,12)(3,11)(5,13)(6,9)(8,14)]); # Design 7068: autom. group order 2, simple, residual B[7068]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,6,11,12,14],[1,2,8,9,11,12,13],[1,3,5,8,9,11,14],[1,3,7,8,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,10,11,13],[1,4,7,9,10,12,14],[1,5,6,7,9,12,13],[1,5,6,8,10,13,14],[2,3,6,8,10,12,14],[2,3,7,9,11,13,14],[2,4,5,7,11,13,14],[2,4,5,8,10,13,14],[2,4,6,9,12,13,14],[2,5,7,8,9,10,12],[2,6,7,8,9,10,11],[3,4,5,9,10,12,13],[3,4,6,7,8,9,14],[3,4,6,8,11,12,13],[3,5,6,9,10,11,13],[3,5,7,10,11,12,14],[4,5,6,7,8,11,12]]; G[7068]:=Group([(1,14)(3,13)(6,11)(9,10)]); # Design 7069: autom. group order 2, simple, residual B[7069]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,6,11,12,14],[1,2,8,10,11,12,13],[1,3,5,8,9,11,14],[1,3,7,8,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,9,11,13],[1,4,7,9,10,12,14],[1,5,6,7,9,12,13],[1,5,6,8,10,13,14],[2,3,6,8,9,12,14],[2,3,7,9,11,13,14],[2,4,5,7,11,13,14],[2,4,5,8,10,13,14],[2,4,6,9,12,13,14],[2,5,7,8,9,10,12],[2,6,7,8,9,10,11],[3,4,5,9,10,12,13],[3,4,6,7,8,10,14],[3,4,6,8,11,12,13],[3,5,6,9,10,11,13],[3,5,7,10,11,12,14],[4,5,6,7,8,11,12]]; G[7069]:=Group([(1,14)(3,13)(6,11)(9,10)]); # Design 7070: autom. group order 2, simple, residual B[7070]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,12],[1,2,7,10,11,12,13],[1,3,5,7,9,10,14],[1,3,7,8,11,13,14],[1,4,6,9,10,12,14],[1,4,7,8,9,12,14],[1,4,8,9,10,11,13],[1,5,6,7,9,11,13],[1,5,6,8,12,13,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,7,12,13,14],[2,4,5,8,10,13,14],[2,4,6,9,11,13,14],[2,5,7,9,10,11,14],[2,6,7,8,9,10,12],[3,4,5,9,11,12,13],[3,4,6,7,8,10,13],[3,4,6,7,11,12,14],[3,5,6,9,10,12,13],[3,5,8,10,11,12,14],[4,5,6,7,8,10,11]]; G[7070]:=Group([(1,14)(3,13)(6,10)(7,8)(9,12)]); # Design 7071: autom. group order 2, simple B[7071]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,12],[1,2,7,10,11,12,13],[1,3,5,9,11,13,14],[1,3,7,8,12,13,14],[1,4,6,7,8,10,14],[1,4,7,8,9,11,14],[1,4,8,9,10,12,13],[1,5,6,7,9,12,13],[1,5,6,9,10,11,14],[2,3,6,8,9,12,14],[2,3,7,8,9,11,13],[2,4,5,7,11,13,14],[2,4,5,8,10,13,14],[2,4,6,9,12,13,14],[2,5,7,9,10,12,14],[2,6,7,8,9,10,11],[3,4,5,7,9,10,12],[3,4,6,7,11,12,14],[3,4,6,9,10,11,13],[3,5,6,7,8,10,13],[3,5,8,10,11,12,14],[4,5,6,8,11,12,13]]; G[7071]:=Group([(1,14)(3,13)(6,10)(7,8)(9,11)]); # Design 7072: autom. group order 2, simple, residual B[7072]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,12],[1,2,7,10,11,12,13],[1,3,5,9,11,13,14],[1,3,7,8,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,9,11,14],[1,4,8,9,10,12,13],[1,5,6,7,8,10,14],[1,5,6,7,9,12,13],[2,3,6,8,9,12,14],[2,3,7,8,9,11,13],[2,4,5,7,11,13,14],[2,4,5,8,10,13,14],[2,4,6,9,12,13,14],[2,5,7,9,10,12,14],[2,6,7,8,9,10,11],[3,4,5,7,9,10,12],[3,4,6,7,8,10,13],[3,4,6,7,11,12,14],[3,5,6,9,10,11,13],[3,5,8,10,11,12,14],[4,5,6,8,11,12,13]]; G[7072]:=Group([(1,14)(3,13)(6,10)(7,8)(9,11)]); # Design 7073: autom. group order 2, simple, residual B[7073]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,11,12,14],[1,2,8,9,11,12,13],[1,3,5,7,9,11,14],[1,3,7,8,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,9,10,14],[1,4,7,10,11,12,13],[1,5,6,7,9,12,13],[1,5,6,8,10,13,14],[2,3,6,7,10,12,14],[2,3,7,9,11,13,14],[2,4,5,7,10,13,14],[2,4,5,8,11,13,14],[2,4,6,9,12,13,14],[2,5,7,8,9,10,12],[2,6,7,8,9,10,11],[3,4,5,9,10,12,13],[3,4,6,7,8,11,13],[3,4,6,8,9,12,14],[3,5,6,9,10,11,13],[3,5,8,10,11,12,14],[4,5,6,7,8,11,12]]; G[7073]:=Group([(1,14)(3,13)(6,11)(7,8)(9,10)]); # Design 7074: autom. group order 2, simple B[7074]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,12],[1,2,8,9,10,11,13],[1,3,5,9,12,13,14],[1,3,7,8,11,13,14],[1,4,6,7,8,10,14],[1,4,7,8,9,12,14],[1,4,7,10,11,12,13],[1,5,6,7,9,11,13],[1,5,6,9,10,12,14],[2,3,6,7,11,12,14],[2,3,7,8,9,12,13],[2,4,5,7,12,13,14],[2,4,5,8,10,13,14],[2,4,6,9,11,13,14],[2,5,7,9,10,11,14],[2,6,7,8,9,10,12],[3,4,5,7,9,10,11],[3,4,6,8,9,11,14],[3,4,6,9,10,12,13],[3,5,6,7,8,10,13],[3,5,8,10,11,12,14],[4,5,6,8,11,12,13]]; G[7074]:=Group([(1,14)(3,13)(6,10)(7,8)(9,12)]); # Design 7075: autom. group order 2, simple, residual B[7075]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,11,12,14],[1,2,8,9,11,12,13],[1,3,5,9,10,13,14],[1,3,7,8,11,13,14],[1,4,6,7,8,12,14],[1,4,7,8,9,10,14],[1,4,7,10,11,12,13],[1,5,6,7,9,11,13],[1,5,6,9,10,12,14],[2,3,6,7,10,11,14],[2,3,7,9,12,13,14],[2,4,5,7,10,13,14],[2,4,5,8,12,13,14],[2,4,6,9,11,13,14],[2,5,7,8,9,10,11],[2,6,7,8,9,10,12],[3,4,5,7,9,11,12],[3,4,6,8,9,11,14],[3,4,6,9,10,12,13],[3,5,6,7,8,12,13],[3,5,8,10,11,12,14],[4,5,6,8,10,11,13]]; G[7075]:=Group([(1,14)(3,13)(6,12)(7,8)(9,10)]); # Design 7076: autom. group order 2, simple, residual B[7076]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,11,12,14],[1,2,8,9,11,12,13],[1,3,5,9,10,13,14],[1,3,7,8,11,13,14],[1,4,6,9,10,12,14],[1,4,7,8,9,10,14],[1,4,7,10,11,12,13],[1,5,6,7,8,12,14],[1,5,6,7,9,11,13],[2,3,6,7,10,11,14],[2,3,7,9,12,13,14],[2,4,5,7,10,13,14],[2,4,5,8,12,13,14],[2,4,6,9,11,13,14],[2,5,7,8,9,10,11],[2,6,7,8,9,10,12],[3,4,5,7,9,11,12],[3,4,6,7,8,12,13],[3,4,6,8,9,11,14],[3,5,6,9,10,12,13],[3,5,8,10,11,12,14],[4,5,6,8,10,11,13]]; G[7076]:=Group([(1,14)(3,13)(6,12)(7,8)(9,10)]); # Design 7077: autom. group order 2, simple, residual B[7077]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,11],[1,2,6,7,11,12,13],[1,3,5,6,9,12,14],[1,3,7,9,11,13,14],[1,4,6,8,9,11,13],[1,4,6,8,10,12,14],[1,4,7,8,9,12,14],[1,5,7,8,10,13,14],[1,5,9,10,11,12,13],[2,3,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,12,13,14],[2,4,5,9,10,13,14],[2,4,6,8,11,13,14],[2,5,6,9,11,12,14],[2,6,7,8,9,10,12],[3,4,5,8,11,12,13],[3,4,6,7,9,10,13],[3,4,7,10,11,12,14],[3,5,6,7,8,11,14],[3,5,6,8,10,12,13],[4,5,6,7,9,10,11]]; G[7077]:=Group([(1,14)(3,13)(6,10)(7,9)(8,12)]); # Design 7078: autom. group order 2, simple B[7078]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,7,9,10,13],[1,3,5,6,11,12,14],[1,3,7,8,12,13,14],[1,4,6,8,9,10,14],[1,4,6,9,11,12,13],[1,4,7,9,10,12,14],[1,5,7,8,10,11,14],[1,5,8,9,11,12,13],[2,3,7,9,11,12,14],[2,3,8,9,10,12,13],[2,4,5,8,10,12,14],[2,4,5,9,11,13,14],[2,4,6,7,8,11,12],[2,5,6,10,12,13,14],[2,6,7,8,9,11,14],[3,4,5,7,9,13,14],[3,4,6,10,11,13,14],[3,4,7,8,10,11,13],[3,5,6,7,9,10,12],[3,5,6,8,9,10,11],[4,5,6,7,8,12,13]]; G[7078]:=Group([(1,10)(2,11)(5,13)(6,8)(9,14)]); # Design 7079: autom. group order 2, simple B[7079]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,7,9,10,13],[1,3,5,6,11,12,14],[1,3,7,8,12,13,14],[1,4,6,8,9,10,14],[1,4,6,9,11,12,13],[1,4,7,8,9,11,12],[1,5,7,8,10,11,14],[1,5,9,10,12,13,14],[2,3,7,9,11,12,14],[2,3,8,9,10,12,13],[2,4,5,8,10,12,14],[2,4,5,9,11,13,14],[2,4,6,7,10,12,14],[2,5,6,8,11,12,13],[2,6,7,8,9,11,14],[3,4,5,7,9,13,14],[3,4,6,10,11,13,14],[3,4,7,8,10,11,13],[3,5,6,7,9,10,12],[3,5,6,8,9,10,11],[4,5,6,7,8,12,13]]; G[7079]:=Group([(1,10)(2,11)(5,13)(6,8)(9,14)]); # Design 7080: autom. group order 2, simple B[7080]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,10,11,13],[1,2,6,8,11,13,14],[1,3,5,6,9,12,14],[1,3,7,8,9,11,14],[1,4,6,7,8,11,12],[1,4,6,9,10,12,13],[1,4,7,9,12,13,14],[1,5,7,8,9,10,13],[1,5,8,10,11,12,14],[2,3,7,8,12,13,14],[2,3,7,9,10,11,12],[2,4,5,7,12,13,14],[2,4,5,8,9,10,14],[2,4,6,8,9,11,13],[2,5,6,9,11,12,14],[2,6,7,8,9,10,12],[3,4,5,8,11,12,13],[3,4,6,7,8,10,14],[3,4,9,10,11,13,14],[3,5,6,7,9,11,13],[3,5,6,8,10,12,13],[4,5,6,7,10,11,14]]; G[7080]:=Group([(1,9)(3,8)(6,10)(7,14)(12,13)]); # Design 7081: autom. group order 2, simple, residual B[7081]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,11],[1,2,6,8,9,11,13],[1,3,5,6,9,12,14],[1,3,7,9,11,13,14],[1,4,6,7,11,12,13],[1,4,6,8,10,12,14],[1,4,7,8,9,12,14],[1,5,7,8,10,13,14],[1,5,9,10,11,12,13],[2,3,7,8,9,12,13],[2,3,7,10,11,12,14],[2,4,5,7,12,13,14],[2,4,5,9,10,13,14],[2,4,6,8,11,13,14],[2,5,6,9,11,12,14],[2,6,7,8,9,10,12],[3,4,5,8,11,12,13],[3,4,6,7,9,10,13],[3,4,8,9,10,11,14],[3,5,6,7,8,11,14],[3,5,6,8,10,12,13],[4,5,6,7,9,10,11]]; G[7081]:=Group([(1,14)(3,13)(6,10)(7,9)(8,12)]); # Design 7082: autom. group order 2, simple, residual B[7082]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,8,10,12],[1,3,5,6,9,12,13],[1,3,7,9,10,11,14],[1,4,6,7,8,9,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,13],[1,5,7,8,10,13,14],[1,5,8,9,10,11,12],[2,3,7,8,9,11,13],[2,3,7,9,12,13,14],[2,4,5,7,10,11,13],[2,4,5,9,10,12,14],[2,4,6,8,9,11,14],[2,5,6,7,11,12,14],[2,6,8,9,10,12,13],[3,4,5,8,12,13,14],[3,4,6,8,10,11,13],[3,4,7,8,10,12,14],[3,5,6,7,8,11,12],[3,5,6,9,10,11,14],[4,5,6,7,9,10,13]]; G[7082]:=Group([(2,11)(3,12)(5,13)(6,9)(8,14)]); # Design 7083: autom. group order 2, simple B[7083]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,8,10,12],[1,3,5,6,9,12,13],[1,3,7,9,10,11,14],[1,4,6,7,8,9,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,13],[1,5,7,8,10,13,14],[1,5,8,9,10,11,12],[2,3,7,8,11,12,14],[2,3,7,9,12,13,14],[2,4,5,7,10,11,13],[2,4,5,9,10,12,14],[2,4,6,8,9,11,14],[2,5,6,7,9,11,13],[2,6,8,9,10,12,13],[3,4,5,8,12,13,14],[3,4,6,8,10,11,13],[3,4,7,8,9,10,13],[3,5,6,7,8,11,12],[3,5,6,9,10,11,14],[4,5,6,7,10,12,14]]; G[7083]:=Group([(2,11)(3,12)(5,13)(6,9)(8,14)]); # Design 7084: autom. group order 2, simple, residual B[7084]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,8,10,12],[1,3,5,6,9,12,13],[1,3,7,9,10,11,14],[1,4,6,7,8,9,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,13],[1,5,7,9,10,13,14],[1,5,8,9,10,11,12],[2,3,7,8,9,11,13],[2,3,7,8,12,13,14],[2,4,5,7,10,11,14],[2,4,5,9,12,13,14],[2,4,6,9,10,11,13],[2,5,6,7,9,11,12],[2,6,8,9,10,12,14],[3,4,5,8,10,12,14],[3,4,6,8,9,11,14],[3,4,7,9,10,12,13],[3,5,6,7,11,12,14],[3,5,6,8,10,11,13],[4,5,6,7,8,10,13]]; G[7084]:=Group([(2,12)(3,11)(5,13)(6,8)(9,14)]); # Design 7085: autom. group order 2, simple, residual B[7085]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,11,14],[1,2,6,7,9,11,13],[1,3,5,6,12,13,14],[1,3,7,8,11,13,14],[1,4,6,7,8,12,14],[1,4,6,9,10,12,14],[1,4,7,9,11,12,13],[1,5,7,8,10,11,14],[1,5,8,9,10,12,13],[2,3,7,10,12,13,14],[2,3,8,9,11,12,14],[2,4,5,7,9,13,14],[2,4,5,8,12,13,14],[2,4,6,10,11,13,14],[2,5,6,7,8,11,12],[2,6,7,8,9,10,12],[3,4,5,7,10,11,12],[3,4,6,8,9,11,14],[3,4,7,8,9,10,13],[3,5,6,7,9,10,14],[3,5,6,9,11,12,13],[4,5,6,8,10,11,13]]; G[7085]:=Group([(1,14)(3,13)(6,12)(7,8)]); # Design 7086: autom. group order 2, simple, residual B[7086]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,11,14],[1,2,6,7,9,11,13],[1,3,5,6,12,13,14],[1,3,7,8,11,13,14],[1,4,6,7,8,12,14],[1,4,6,9,11,12,14],[1,4,7,9,10,12,13],[1,5,7,8,10,11,14],[1,5,8,9,10,12,13],[2,3,7,10,12,13,14],[2,3,8,9,11,12,14],[2,4,5,7,9,13,14],[2,4,5,8,12,13,14],[2,4,6,10,11,13,14],[2,5,6,7,8,11,12],[2,6,7,8,9,10,12],[3,4,5,7,10,11,12],[3,4,6,8,9,10,14],[3,4,7,8,9,11,13],[3,5,6,7,9,10,14],[3,5,6,9,11,12,13],[4,5,6,8,10,11,13]]; G[7086]:=Group([(1,14)(3,13)(6,12)(7,8)]); # Design 7087: autom. group order 2, simple, residual B[7087]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,11,14],[1,2,6,7,9,11,13],[1,3,5,6,12,13,14],[1,3,7,8,11,13,14],[1,4,6,7,8,12,14],[1,4,6,9,10,12,14],[1,4,8,9,11,12,13],[1,5,7,8,9,10,14],[1,5,7,10,11,12,13],[2,3,7,9,12,13,14],[2,3,8,10,11,12,14],[2,4,5,7,10,13,14],[2,4,5,8,12,13,14],[2,4,6,9,11,13,14],[2,5,6,7,8,11,12],[2,6,7,8,9,10,12],[3,4,5,7,9,11,12],[3,4,6,7,10,11,14],[3,4,7,8,9,10,13],[3,5,6,8,9,11,14],[3,5,6,9,10,12,13],[4,5,6,8,10,11,13]]; G[7087]:=Group([(1,14)(3,13)(6,12)(7,8)(9,10)]); # Design 7088: autom. group order 2, simple, residual B[7088]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,11,14],[1,2,6,7,9,11,13],[1,3,5,6,12,13,14],[1,3,7,8,11,13,14],[1,4,6,7,8,12,14],[1,4,6,9,10,12,14],[1,4,8,9,11,12,13],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,10,12,13,14],[2,3,8,9,11,12,14],[2,4,5,7,9,13,14],[2,4,5,8,12,13,14],[2,4,6,10,11,13,14],[2,5,6,7,8,11,12],[2,6,7,8,9,10,12],[3,4,5,7,10,11,12],[3,4,6,7,9,11,14],[3,4,7,8,9,10,13],[3,5,6,8,9,10,14],[3,5,6,9,11,12,13],[4,5,6,8,10,11,13]]; G[7088]:=Group([(1,14)(3,13)(6,12)(7,8)]); # Design 7089: autom. group order 2, simple, residual B[7089]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,11,14],[1,2,6,7,9,11,13],[1,3,5,6,12,13,14],[1,3,7,8,11,13,14],[1,4,6,7,8,12,14],[1,4,6,9,11,12,14],[1,4,8,9,10,12,13],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,10,12,13,14],[2,3,8,9,11,12,14],[2,4,5,7,9,13,14],[2,4,5,8,12,13,14],[2,4,6,10,11,13,14],[2,5,6,7,8,11,12],[2,6,7,8,9,10,12],[3,4,5,7,10,11,12],[3,4,6,7,9,10,14],[3,4,7,8,9,11,13],[3,5,6,8,9,10,14],[3,5,6,9,11,12,13],[4,5,6,8,10,11,13]]; G[7089]:=Group([(1,14)(3,13)(6,12)(7,8)]); # Design 7090: autom. group order 2, simple B[7090]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,9,10,13,14],[1,3,5,6,11,12,14],[1,3,7,8,9,12,13],[1,4,6,7,8,10,14],[1,4,6,7,11,12,13],[1,4,7,9,10,12,14],[1,5,7,8,9,10,11],[1,5,8,11,12,13,14],[2,3,7,8,10,12,13],[2,3,7,9,11,12,14],[2,4,5,7,11,13,14],[2,4,5,8,10,12,14],[2,4,6,8,9,11,12],[2,5,6,7,10,12,13],[2,6,7,8,9,11,14],[3,4,5,7,9,13,14],[3,4,6,9,10,11,13],[3,4,8,10,11,13,14],[3,5,6,7,8,10,11],[3,5,6,9,10,12,14],[4,5,6,8,9,12,13]]; G[7090]:=Group([(1,10)(2,11)(5,13)(6,8)(7,14)]); # Design 7091: autom. group order 2, simple B[7091]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,9,10,13,14],[1,3,5,6,11,12,14],[1,3,7,8,9,12,13],[1,4,6,7,8,10,14],[1,4,6,7,11,12,13],[1,4,8,9,11,12,14],[1,5,7,8,9,10,11],[1,5,7,10,12,13,14],[2,3,7,8,10,12,13],[2,3,7,9,11,12,14],[2,4,5,7,11,13,14],[2,4,5,8,10,12,14],[2,4,6,7,9,10,12],[2,5,6,8,11,12,13],[2,6,7,8,9,11,14],[3,4,5,7,9,13,14],[3,4,6,9,10,11,13],[3,4,8,10,11,13,14],[3,5,6,7,8,10,11],[3,5,6,9,10,12,14],[4,5,6,8,9,12,13]]; G[7091]:=Group([(1,10)(2,11)(5,13)(6,8)(7,14)]); # Design 7092: autom. group order 2, simple, residual B[7092]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,11,14],[1,2,6,9,11,12,14],[1,3,5,6,12,13,14],[1,3,7,8,11,13,14],[1,4,6,7,8,12,14],[1,4,6,7,9,10,13],[1,4,8,9,11,12,13],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,9,11,13],[2,3,7,10,12,13,14],[2,4,5,7,9,13,14],[2,4,5,8,12,13,14],[2,4,6,10,11,13,14],[2,5,6,7,8,11,12],[2,6,7,8,9,10,12],[3,4,5,7,10,11,12],[3,4,6,7,9,11,14],[3,4,8,9,10,12,14],[3,5,6,8,9,10,14],[3,5,6,9,11,12,13],[4,5,6,8,10,11,13]]; G[7092]:=Group([(1,14)(3,13)(6,12)(7,8)]); # Design 7093: autom. group order 2, simple, residual B[7093]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,11,14],[1,2,6,9,11,12,14],[1,3,5,6,12,13,14],[1,3,7,8,11,13,14],[1,4,6,7,8,12,14],[1,4,6,7,9,11,13],[1,4,8,9,10,12,13],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,9,11,13],[2,3,7,10,12,13,14],[2,4,5,7,9,13,14],[2,4,5,8,12,13,14],[2,4,6,10,11,13,14],[2,5,6,7,8,11,12],[2,6,7,8,9,10,12],[3,4,5,7,10,11,12],[3,4,6,7,9,10,14],[3,4,8,9,11,12,14],[3,5,6,8,9,10,14],[3,5,6,9,11,12,13],[4,5,6,8,10,11,13]]; G[7093]:=Group([(1,14)(3,13)(6,12)(7,8)]); # Design 7094: autom. group order 2, simple, residual B[7094]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,9,12,14],[1,3,5,6,12,13,14],[1,3,7,9,11,13,14],[1,4,6,8,9,10,14],[1,4,7,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,9,10,11,12],[1,5,7,8,10,11,12],[2,3,7,8,10,12,14],[2,3,8,9,10,11,13],[2,4,5,7,9,11,14],[2,4,5,9,10,12,13],[2,4,6,7,11,12,14],[2,5,6,10,11,13,14],[2,6,7,8,9,12,13],[3,4,5,8,12,13,14],[3,4,6,8,10,11,14],[3,4,6,9,11,12,13],[3,5,6,7,8,9,11],[3,5,7,9,10,12,14],[4,5,6,7,8,10,13]]; G[7094]:=Group([(2,12)(3,11)(4,10)(6,8)]); # Design 7095: autom. group order 2, simple, residual B[7095]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,12,13,14],[1,3,5,6,9,12,14],[1,3,7,8,9,11,14],[1,4,6,7,9,10,13],[1,4,7,8,10,13,14],[1,4,7,9,11,12,14],[1,5,6,8,10,11,12],[1,5,9,10,11,12,13],[2,3,7,8,9,10,12],[2,3,9,10,11,13,14],[2,4,5,8,10,11,14],[2,4,5,9,12,13,14],[2,4,6,7,11,12,14],[2,5,6,7,9,11,13],[2,6,7,8,9,10,12],[3,4,5,7,10,12,13],[3,4,6,8,9,11,13],[3,4,6,8,11,12,13],[3,5,6,7,10,11,14],[3,5,7,8,12,13,14],[4,5,6,8,9,10,14]]; G[7095]:=Group([(2,11)(3,12)(4,10)(6,9)(7,13)]); # Design 7096: autom. group order 2, simple B[7096]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,9,11,13],[1,3,5,6,9,12,14],[1,3,7,8,9,11,14],[1,4,6,7,8,10,14],[1,4,7,8,12,13,14],[1,4,7,9,10,11,12],[1,5,6,8,10,12,13],[1,5,9,10,11,13,14],[2,3,7,9,12,13,14],[2,3,8,10,11,12,14],[2,4,5,7,12,13,14],[2,4,5,8,9,10,14],[2,4,6,8,9,11,13],[2,5,6,7,10,11,14],[2,6,7,8,9,10,12],[3,4,5,7,10,11,13],[3,4,6,8,11,13,14],[3,4,6,9,10,12,13],[3,5,6,7,8,11,12],[3,5,7,8,9,10,13],[4,5,6,9,11,12,14]]; G[7096]:=Group([(1,8)(3,9)(6,10)(7,14)(12,13)]); # Design 7097: autom. group order 2, simple, residual B[7097]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,8,11,14],[1,3,5,6,9,12,14],[1,3,7,9,11,13,14],[1,4,6,7,9,10,13],[1,4,7,8,9,12,13],[1,4,7,10,11,12,14],[1,5,6,8,10,12,13],[1,5,8,9,10,11,14],[2,3,7,8,9,12,14],[2,3,9,10,11,12,13],[2,4,5,7,12,13,14],[2,4,5,9,10,13,14],[2,4,6,8,11,13,14],[2,5,6,7,9,10,11],[2,6,7,8,9,10,12],[3,4,5,7,8,10,11],[3,4,6,8,9,11,13],[3,4,6,8,10,12,14],[3,5,6,7,11,12,13],[3,5,7,8,10,13,14],[4,5,6,9,11,12,14]]; G[7097]:=Group([(1,13)(3,14)(6,10)(7,9)(8,12)]); # Design 7098: autom. group order 2, simple, residual B[7098]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,11,14],[1,2,6,7,9,11,13],[1,3,5,6,12,13,14],[1,3,7,8,11,13,14],[1,4,6,7,8,12,14],[1,4,7,8,9,10,14],[1,4,7,10,11,12,13],[1,5,6,9,10,12,14],[1,5,8,9,11,12,13],[2,3,7,9,12,13,14],[2,3,8,10,11,12,14],[2,4,5,7,10,13,14],[2,4,5,8,12,13,14],[2,4,6,9,11,13,14],[2,5,6,7,8,11,12],[2,6,7,8,9,10,12],[3,4,5,7,9,11,12],[3,4,6,8,9,11,14],[3,4,6,9,10,12,13],[3,5,6,7,10,11,14],[3,5,7,8,9,10,13],[4,5,6,8,10,11,13]]; G[7098]:=Group([(1,14)(3,13)(6,12)(7,8)(9,10)]); # Design 7099: autom. group order 2, simple, residual B[7099]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,7,9,12,14],[1,3,5,6,12,13,14],[1,3,7,8,11,13,14],[1,4,6,7,9,10,14],[1,4,7,8,10,13,14],[1,4,8,9,11,12,13],[1,5,6,8,10,11,12],[1,5,7,9,10,11,12],[2,3,7,9,10,11,13],[2,3,8,9,10,12,14],[2,4,5,7,8,11,14],[2,4,5,7,10,12,13],[2,4,6,8,11,12,14],[2,5,6,10,11,13,14],[2,6,7,8,9,12,13],[3,4,5,9,12,13,14],[3,4,6,7,11,12,13],[3,4,6,9,10,11,14],[3,5,6,7,8,9,11],[3,5,7,8,10,12,14],[4,5,6,8,9,10,13]]; G[7099]:=Group([(2,12)(3,11)(4,10)(6,9)]); # Design 7100: autom. group order 2, simple B[7100]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,9,11,13],[1,3,5,6,9,12,14],[1,3,7,8,9,11,14],[1,4,6,7,8,10,14],[1,4,7,8,12,13,14],[1,4,9,10,11,13,14],[1,5,6,8,10,12,13],[1,5,7,9,10,11,12],[2,3,7,9,12,13,14],[2,3,8,10,11,12,14],[2,4,5,7,12,13,14],[2,4,5,8,9,10,14],[2,4,6,8,9,11,13],[2,5,6,7,10,11,14],[2,6,7,8,9,10,12],[3,4,5,7,10,11,13],[3,4,6,7,8,11,12],[3,4,6,9,10,12,13],[3,5,6,8,11,13,14],[3,5,7,8,9,10,13],[4,5,6,9,11,12,14]]; G[7100]:=Group([(1,8)(3,9)(6,10)(7,14)(12,13)]); # Design 7101: autom. group order 2, simple, residual B[7101]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,8,11,14],[1,3,5,6,9,12,14],[1,3,7,9,11,13,14],[1,4,6,7,9,10,13],[1,4,7,8,9,12,13],[1,4,8,9,10,11,14],[1,5,6,8,10,12,13],[1,5,7,10,11,12,14],[2,3,7,8,9,12,14],[2,3,9,10,11,12,13],[2,4,5,7,12,13,14],[2,4,5,9,10,13,14],[2,4,6,8,11,13,14],[2,5,6,7,9,10,11],[2,6,7,8,9,10,12],[3,4,5,7,8,10,11],[3,4,6,7,11,12,13],[3,4,6,8,10,12,14],[3,5,6,8,9,11,13],[3,5,7,8,10,13,14],[4,5,6,9,11,12,14]]; G[7101]:=Group([(1,13)(3,14)(6,10)(7,9)(8,12)]); # Design 7102: autom. group order 2, simple, residual B[7102]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,11,14],[1,2,6,7,9,11,13],[1,3,5,6,12,13,14],[1,3,7,8,11,13,14],[1,4,6,7,8,12,14],[1,4,7,8,9,10,14],[1,4,8,9,11,12,13],[1,5,6,9,10,12,14],[1,5,7,10,11,12,13],[2,3,7,9,12,13,14],[2,3,8,10,11,12,14],[2,4,5,7,10,13,14],[2,4,5,8,12,13,14],[2,4,6,9,11,13,14],[2,5,6,7,8,11,12],[2,6,7,8,9,10,12],[3,4,5,7,9,11,12],[3,4,6,7,10,11,14],[3,4,6,9,10,12,13],[3,5,6,8,9,11,14],[3,5,7,8,9,10,13],[4,5,6,8,10,11,13]]; G[7102]:=Group([(1,14)(3,13)(6,12)(7,8)(9,10)]); # Design 7103: autom. group order 2, simple, residual B[7103]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,11,14],[1,2,6,9,11,12,14],[1,3,5,6,12,13,14],[1,3,7,8,11,13,14],[1,4,6,7,8,12,14],[1,4,7,9,10,12,13],[1,4,8,9,11,12,13],[1,5,6,7,9,10,13],[1,5,7,8,10,11,14],[2,3,7,8,9,11,13],[2,3,7,10,12,13,14],[2,4,5,7,9,13,14],[2,4,5,8,12,13,14],[2,4,6,10,11,13,14],[2,5,6,7,8,11,12],[2,6,7,8,9,10,12],[3,4,5,7,10,11,12],[3,4,6,7,9,11,14],[3,4,6,8,9,10,14],[3,5,6,9,11,12,13],[3,5,8,9,10,12,14],[4,5,6,8,10,11,13]]; G[7103]:=Group([(1,14)(3,13)(6,12)(7,8)]); # Design 7104: autom. group order 2, simple, residual B[7104]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,11,14],[1,2,6,9,11,12,14],[1,3,5,6,12,13,14],[1,3,7,8,11,13,14],[1,4,6,7,8,12,14],[1,4,7,9,11,12,13],[1,4,8,9,10,12,13],[1,5,6,7,9,10,13],[1,5,7,8,10,11,14],[2,3,7,8,9,11,13],[2,3,7,10,12,13,14],[2,4,5,7,9,13,14],[2,4,5,8,12,13,14],[2,4,6,10,11,13,14],[2,5,6,7,8,11,12],[2,6,7,8,9,10,12],[3,4,5,7,10,11,12],[3,4,6,7,9,10,14],[3,4,6,8,9,11,14],[3,5,6,9,11,12,13],[3,5,8,9,10,12,14],[4,5,6,8,10,11,13]]; G[7104]:=Group([(1,14)(3,13)(6,12)(7,8)]); # Design 7105: autom. group order 2, simple, residual B[7105]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,11,14],[1,2,6,7,11,12,13],[1,3,5,8,12,13,14],[1,3,6,9,11,13,14],[1,4,6,7,9,10,14],[1,4,6,8,9,12,14],[1,4,9,10,11,12,13],[1,5,7,8,9,11,13],[1,5,7,8,10,12,14],[2,3,7,9,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,12,13,14],[2,4,5,9,10,13,14],[2,4,7,8,11,13,14],[2,5,6,8,9,11,12],[2,6,7,8,9,10,12],[3,4,5,7,9,11,12],[3,4,6,7,8,11,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,13],[3,5,6,10,11,12,14],[4,5,6,8,10,11,13]]; G[7105]:=Group([(1,14)(3,13)(6,9)(7,10)(8,12)]); # Design 7106: autom. group order 2, simple B[7106]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,10,11,13],[1,2,6,8,9,11,14],[1,3,5,8,12,13,14],[1,3,6,7,9,10,12],[1,4,6,7,8,9,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,13],[1,5,7,8,10,13,14],[1,5,8,9,10,11,12],[2,3,7,8,11,12,14],[2,3,7,9,12,13,14],[2,4,5,6,8,12,13],[2,4,5,9,10,12,14],[2,4,7,8,10,11,14],[2,5,6,7,9,11,13],[2,6,8,9,10,12,13],[3,4,5,9,11,13,14],[3,4,6,8,10,11,13],[3,4,7,8,9,10,13],[3,5,6,7,8,11,12],[3,5,6,9,10,11,14],[4,5,6,7,10,12,14]]; G[7106]:=Group([(2,11)(3,12)(5,13)(6,9)(8,14)]); # Design 7107: autom. group order 2, simple, residual B[7107]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,10,11,13],[1,2,6,8,9,11,14],[1,3,5,8,12,13,14],[1,3,6,7,9,10,12],[1,4,6,7,8,9,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,13],[1,5,7,8,10,13,14],[1,5,8,9,10,11,12],[2,3,7,8,9,11,13],[2,3,7,8,11,12,14],[2,4,5,6,8,12,13],[2,4,5,9,10,12,14],[2,4,7,9,10,13,14],[2,5,6,7,11,12,14],[2,6,8,9,10,12,13],[3,4,5,9,11,13,14],[3,4,6,8,10,11,13],[3,4,7,8,10,12,14],[3,5,6,7,9,12,13],[3,5,6,9,10,11,14],[4,5,6,7,8,10,11]]; G[7107]:=Group([(2,11)(3,12)(5,13)(6,9)(8,14)]); # Design 7108: autom. group order 2, simple, residual B[7108]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,9,10,11],[1,3,5,8,10,12,13],[1,3,6,7,9,12,14],[1,4,6,7,8,9,14],[1,4,6,8,11,12,13],[1,4,9,11,12,13,14],[1,5,7,8,10,13,14],[1,5,7,9,10,11,12],[2,3,7,8,9,12,13],[2,3,7,8,11,12,14],[2,4,5,6,12,13,14],[2,4,5,9,10,12,14],[2,4,7,8,10,11,14],[2,5,6,8,9,11,13],[2,6,7,9,10,12,13],[3,4,5,7,9,11,13],[3,4,6,7,10,11,13],[3,4,8,9,10,13,14],[3,5,6,8,11,12,14],[3,5,6,9,10,11,14],[4,5,6,7,8,10,12]]; G[7108]:=Group([(2,11)(3,12)(5,13)(6,9)(7,14)]); # Design 7109: autom. group order 2, simple B[7109]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,9,10,11],[1,3,5,8,10,12,13],[1,3,6,7,9,12,14],[1,4,6,7,8,9,14],[1,4,6,8,11,12,13],[1,4,9,11,12,13,14],[1,5,7,8,10,13,14],[1,5,7,9,10,11,12],[2,3,7,8,11,12,14],[2,3,8,9,11,13,14],[2,4,5,6,12,13,14],[2,4,5,9,10,12,14],[2,4,7,8,9,10,13],[2,5,6,7,8,11,12],[2,6,7,9,10,12,13],[3,4,5,7,9,11,13],[3,4,6,7,10,11,13],[3,4,7,8,10,12,14],[3,5,6,8,9,12,13],[3,5,6,9,10,11,14],[4,5,6,8,10,11,14]]; G[7109]:=Group([(2,11)(3,12)(5,13)(6,9)(7,14)]); # Design 7110: autom. group order 2, simple, residual B[7110]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,10,11],[1,3,5,7,10,12,13],[1,3,6,8,9,12,14],[1,4,6,7,8,9,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,13],[1,5,7,8,10,13,14],[1,5,8,9,10,11,12],[2,3,7,8,11,12,14],[2,3,7,9,12,13,14],[2,4,5,6,8,12,13],[2,4,5,9,10,12,14],[2,4,7,8,10,11,14],[2,5,6,7,9,11,13],[2,6,8,9,10,12,13],[3,4,5,9,11,13,14],[3,4,6,8,10,11,13],[3,4,7,8,9,10,13],[3,5,6,7,8,11,12],[3,5,6,9,10,11,14],[4,5,6,7,10,12,14]]; G[7110]:=Group([(2,11)(3,12)(5,13)(6,9)(8,14)]); # Design 7111: autom. group order 2, simple B[7111]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,10,11],[1,3,5,7,10,12,13],[1,3,6,8,9,12,14],[1,4,6,7,8,9,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,13],[1,5,7,8,10,13,14],[1,5,8,9,10,11,12],[2,3,7,8,9,11,13],[2,3,7,8,11,12,14],[2,4,5,6,8,12,13],[2,4,5,9,10,12,14],[2,4,7,9,10,13,14],[2,5,6,7,11,12,14],[2,6,8,9,10,12,13],[3,4,5,9,11,13,14],[3,4,6,8,10,11,13],[3,4,7,8,10,12,14],[3,5,6,7,9,12,13],[3,5,6,9,10,11,14],[4,5,6,7,8,10,11]]; G[7111]:=Group([(2,11)(3,12)(5,13)(6,9)(8,14)]); # Design 7112: autom. group order 2, simple B[7112]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,9,11,14],[1,3,5,7,12,13,14],[1,3,6,8,9,10,12],[1,4,6,7,8,9,14],[1,4,6,8,11,12,13],[1,4,9,11,12,13,14],[1,5,7,8,10,13,14],[1,5,7,9,10,11,12],[2,3,7,8,9,12,13],[2,3,7,8,11,12,14],[2,4,5,6,12,13,14],[2,4,5,9,10,12,14],[2,4,7,8,10,11,14],[2,5,6,8,9,11,13],[2,6,7,9,10,12,13],[3,4,5,7,9,11,13],[3,4,6,7,10,11,13],[3,4,8,9,10,13,14],[3,5,6,8,11,12,14],[3,5,6,9,10,11,14],[4,5,6,7,8,10,12]]; G[7112]:=Group([(2,11)(3,12)(5,13)(6,9)(7,14)]); # Design 7113: autom. group order 2, simple, residual B[7113]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,9,11,14],[1,3,5,7,12,13,14],[1,3,6,8,9,10,12],[1,4,6,7,8,9,14],[1,4,6,8,11,12,13],[1,4,9,11,12,13,14],[1,5,7,8,10,13,14],[1,5,7,9,10,11,12],[2,3,7,8,11,12,14],[2,3,8,9,11,13,14],[2,4,5,6,12,13,14],[2,4,5,9,10,12,14],[2,4,7,8,9,10,13],[2,5,6,7,8,11,12],[2,6,7,9,10,12,13],[3,4,5,7,9,11,13],[3,4,6,7,10,11,13],[3,4,7,8,10,12,14],[3,5,6,8,9,12,13],[3,5,6,9,10,11,14],[4,5,6,8,10,11,14]]; G[7113]:=Group([(2,11)(3,12)(5,13)(6,9)(7,14)]); # Design 7114: autom. group order 2, simple, residual B[7114]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,9,12,14],[1,3,5,9,10,12,13],[1,3,6,8,9,11,14],[1,4,6,8,11,12,13],[1,4,7,8,9,10,14],[1,4,7,9,11,12,13],[1,5,6,10,11,12,14],[1,5,7,8,10,13,14],[2,3,7,8,10,11,12],[2,3,8,9,11,13,14],[2,4,5,6,11,13,14],[2,4,5,8,10,12,14],[2,4,6,7,9,10,13],[2,5,7,9,11,12,14],[2,6,8,9,10,12,13],[3,4,5,9,12,13,14],[3,4,6,7,8,12,14],[3,4,7,10,11,13,14],[3,5,6,7,8,12,13],[3,5,6,7,9,10,11],[4,5,6,8,9,10,11]]; G[7114]:=Group([(2,11)(3,12)(5,13)(7,8)]); # Design 7115: autom. group order 2, simple, residual B[7115]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,9,10,12,13],[1,3,5,9,11,13,14],[1,3,6,7,10,12,14],[1,4,6,7,8,9,11],[1,4,7,9,11,12,14],[1,4,8,10,12,13,14],[1,5,6,8,11,12,13],[1,5,7,8,9,10,14],[2,3,7,8,9,12,13],[2,3,7,8,11,12,14],[2,4,5,6,11,12,14],[2,4,5,7,10,13,14],[2,4,6,8,9,10,14],[2,5,8,9,10,11,12],[2,6,7,9,11,13,14],[3,4,5,9,12,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,13],[3,5,6,7,9,10,12],[3,5,6,8,10,11,14],[4,5,6,7,8,12,13]]; G[7115]:=Group([(1,11)(2,10)(5,13)(6,8)]); # Design 7116: autom. group order 2, simple, residual B[7116]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,12,14],[1,3,5,9,10,12,13],[1,3,6,7,9,11,14],[1,4,6,8,11,12,13],[1,4,7,8,9,10,14],[1,4,7,9,11,12,13],[1,5,6,10,11,12,14],[1,5,7,8,10,13,14],[2,3,7,8,10,11,12],[2,3,7,9,11,13,14],[2,4,5,6,11,13,14],[2,4,5,7,10,12,14],[2,4,6,8,9,10,13],[2,5,8,9,11,12,14],[2,6,7,9,10,12,13],[3,4,5,9,12,13,14],[3,4,6,7,8,12,14],[3,4,8,10,11,13,14],[3,5,6,7,8,12,13],[3,5,6,8,9,10,11],[4,5,6,7,9,10,11]]; G[7116]:=Group([(2,11)(3,12)(5,13)(7,8)]); # Design 7117: autom. group order 2, simple, residual B[7117]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,6,9,11,12,14],[1,3,5,11,12,13,14],[1,3,6,7,9,11,13],[1,4,6,8,12,13,14],[1,4,7,9,10,12,13],[1,4,8,9,10,11,14],[1,5,6,7,8,9,14],[1,5,7,8,10,11,12],[2,3,7,9,10,11,14],[2,3,8,9,12,13,14],[2,4,5,6,10,12,14],[2,4,5,8,9,11,13],[2,4,6,7,11,13,14],[2,5,7,8,11,12,13],[2,6,7,8,9,10,12],[3,4,5,7,9,12,14],[3,4,6,7,8,11,12],[3,4,7,8,10,13,14],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13],[4,5,6,9,10,11,13]]; G[7117]:=Group([(1,7)(2,8)(3,12)(4,11)(6,10)(9,13)]); # Design 7118: autom. group order 2, simple, residual B[7118]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,7,9,12,14],[1,3,5,7,11,12,14],[1,3,6,8,9,12,13],[1,4,6,7,9,10,14],[1,4,7,8,11,12,13],[1,4,8,9,10,11,14],[1,5,6,10,12,13,14],[1,5,7,8,9,11,13],[2,3,7,8,10,13,14],[2,3,7,9,11,13,14],[2,4,5,6,8,11,14],[2,4,5,9,12,13,14],[2,4,6,7,8,12,13],[2,5,7,9,10,11,12],[2,6,8,9,10,11,12],[3,4,5,9,10,12,13],[3,4,6,9,11,13,14],[3,4,7,8,10,12,14],[3,5,6,7,8,9,10],[3,5,6,8,11,12,14],[4,5,6,7,10,11,13]]; G[7118]:=Group([(1,11)(3,10)(4,12)(5,9)(7,8)]); # Design 7119: autom. group order 2, simple, residual B[7119]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,10,12,13],[1,3,5,7,11,13,14],[1,3,6,9,10,12,14],[1,4,6,7,8,9,11],[1,4,7,9,11,12,14],[1,4,8,10,12,13,14],[1,5,6,8,11,12,13],[1,5,7,8,9,10,14],[2,3,7,8,9,12,13],[2,3,8,9,11,12,14],[2,4,5,6,11,12,14],[2,4,5,9,10,13,14],[2,4,6,7,8,10,14],[2,5,7,8,10,11,12],[2,6,7,9,11,13,14],[3,4,5,7,12,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,13],[3,5,6,7,9,10,12],[3,5,6,8,10,11,14],[4,5,6,8,9,12,13]]; G[7119]:=Group([(1,11)(2,10)(5,13)(6,8)]); # Design 7120: autom. group order 2, simple B[7120]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,7,9,10,14],[1,3,5,7,11,12,14],[1,3,6,8,9,12,14],[1,4,6,8,11,13,14],[1,4,7,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,9,11,12,13],[1,5,7,8,9,10,13],[2,3,7,8,12,13,14],[2,3,7,9,11,13,14],[2,4,5,6,8,12,14],[2,4,5,9,11,13,14],[2,4,6,7,9,12,13],[2,5,7,8,10,11,12],[2,6,8,9,10,11,12],[3,4,5,9,10,12,13],[3,4,6,7,8,10,13],[3,4,8,9,10,11,14],[3,5,6,7,8,9,11],[3,5,6,10,12,13,14],[4,5,6,7,10,11,14]]; G[7120]:=Group([(1,10)(3,11)(4,12)(5,8)(7,9)]); # Design 7121: autom. group order 2, simple B[7121]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,7,9,10,14],[1,3,5,9,11,12,14],[1,3,6,7,8,12,14],[1,4,6,8,9,11,13],[1,4,7,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,11,12,13,14],[1,5,7,8,9,10,13],[2,3,7,9,11,13,14],[2,3,8,9,12,13,14],[2,4,5,6,8,12,14],[2,4,5,7,11,13,14],[2,4,6,7,9,12,13],[2,5,7,8,10,11,12],[2,6,8,9,10,11,12],[3,4,5,9,10,12,13],[3,4,6,8,10,13,14],[3,4,7,8,10,11,14],[3,5,6,7,8,9,11],[3,5,6,7,10,12,13],[4,5,6,9,10,11,14]]; G[7121]:=Group([(1,10)(3,11)(4,12)(5,8)(7,9)]); # Design 7122: autom. group order 2, simple B[7122]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,7,9,10,14],[1,3,5,9,11,12,14],[1,3,6,8,12,13,14],[1,4,6,7,8,11,14],[1,4,7,9,10,12,14],[1,4,8,9,11,12,13],[1,5,6,7,11,12,13],[1,5,7,8,9,10,13],[2,3,7,8,12,13,14],[2,3,7,9,11,13,14],[2,4,5,6,8,12,14],[2,4,5,9,11,13,14],[2,4,6,7,9,12,13],[2,5,7,8,10,11,12],[2,6,8,9,10,11,12],[3,4,5,7,10,12,13],[3,4,6,8,9,10,13],[3,4,7,8,10,11,14],[3,5,6,7,8,9,11],[3,5,6,9,10,12,14],[4,5,6,10,11,13,14]]; G[7122]:=Group([(1,10)(3,11)(4,12)(5,8)(7,9)]); # Design 7123: autom. group order 2, simple, residual B[7123]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,6,8,9,12,14],[1,3,5,8,11,12,14],[1,3,6,7,9,12,13],[1,4,6,9,10,13,14],[1,4,7,8,11,12,13],[1,4,7,9,10,11,14],[1,5,6,7,10,12,14],[1,5,7,8,9,11,13],[2,3,7,8,10,13,14],[2,3,7,9,11,13,14],[2,4,5,6,7,11,14],[2,4,5,9,12,13,14],[2,4,6,7,8,12,13],[2,5,7,9,10,11,12],[2,6,8,9,10,11,12],[3,4,5,9,10,12,13],[3,4,6,8,9,11,14],[3,4,7,8,10,12,14],[3,5,6,7,8,9,10],[3,5,6,11,12,13,14],[4,5,6,8,10,11,13]]; G[7123]:=Group([(1,11)(3,10)(4,12)(5,9)(7,8)]); # Design 7124: autom. group order 2, simple, residual B[7124]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,11,14],[1,2,6,7,11,12,13],[1,3,5,7,9,12,14],[1,3,6,9,11,13,14],[1,4,6,8,9,12,14],[1,4,7,8,9,11,13],[1,4,7,8,10,12,14],[1,5,6,8,10,13,14],[1,5,9,10,11,12,13],[2,3,7,9,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,12,13,14],[2,4,5,9,10,13,14],[2,4,7,8,11,13,14],[2,5,6,8,9,11,12],[2,6,7,8,9,10,12],[3,4,5,8,11,12,13],[3,4,6,7,9,10,13],[3,4,6,10,11,12,14],[3,5,6,7,8,11,14],[3,5,7,8,10,12,13],[4,5,6,7,9,10,11]]; G[7124]:=Group([(1,14)(3,13)(6,9)(7,10)(8,12)]); # Design 7125: autom. group order 2, simple, residual B[7125]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,11,14],[1,2,6,7,11,12,13],[1,3,5,8,12,13,14],[1,3,6,9,11,13,14],[1,4,6,8,9,12,14],[1,4,7,8,9,11,13],[1,4,7,8,10,12,14],[1,5,6,7,9,10,14],[1,5,9,10,11,12,13],[2,3,7,9,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,12,13,14],[2,4,5,9,10,13,14],[2,4,7,8,11,13,14],[2,5,6,8,9,11,12],[2,6,7,8,9,10,12],[3,4,5,7,9,11,12],[3,4,6,7,9,10,13],[3,4,6,10,11,12,14],[3,5,6,7,8,11,14],[3,5,7,8,10,12,13],[4,5,6,8,10,11,13]]; G[7125]:=Group([(1,14)(3,13)(6,9)(7,10)(8,12)]); # Design 7126: autom. group order 2, simple, residual B[7126]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,9,12,14],[1,3,5,9,10,12,13],[1,3,6,8,9,11,14],[1,4,6,8,11,12,13],[1,4,7,8,9,10,14],[1,4,7,9,11,12,13],[1,5,6,10,11,12,14],[1,5,7,8,10,13,14],[2,3,7,8,10,11,12],[2,3,7,9,12,13,14],[2,4,5,6,8,12,14],[2,4,5,9,11,13,14],[2,4,8,10,12,13,14],[2,5,6,9,10,11,13],[2,6,7,8,9,10,11],[3,4,5,7,10,11,14],[3,4,6,7,11,13,14],[3,4,6,8,9,10,13],[3,5,6,7,8,12,13],[3,5,8,9,11,12,14],[4,5,6,7,9,10,12]]; G[7126]:=Group([(2,11)(3,12)(5,13)(7,8)]); # Design 7127: autom. group order 2, simple, residual B[7127]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,11,14],[1,2,6,7,11,12,13],[1,3,5,8,12,13,14],[1,3,6,9,11,13,14],[1,4,6,8,9,12,14],[1,4,7,8,10,12,14],[1,4,7,9,11,12,13],[1,5,6,9,10,11,14],[1,5,7,8,9,10,13],[2,3,7,8,9,11,14],[2,3,9,10,12,13,14],[2,4,5,6,12,13,14],[2,4,5,7,9,13,14],[2,4,8,10,11,13,14],[2,5,6,8,9,11,12],[2,6,7,8,9,10,12],[3,4,5,9,10,11,12],[3,4,6,7,8,11,14],[3,4,6,7,9,10,13],[3,5,6,7,10,12,14],[3,5,7,8,11,12,13],[4,5,6,8,10,11,13]]; G[7127]:=Group([(1,14)(3,13)(6,9)(8,12)]); # Design 7128: autom. group order 2, simple, residual B[7128]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,11,14],[1,2,6,7,11,12,13],[1,3,5,8,12,13,14],[1,3,6,9,11,13,14],[1,4,6,8,9,12,14],[1,4,7,8,11,12,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,5,7,8,9,10,13],[2,3,7,8,9,11,14],[2,3,9,10,12,13,14],[2,4,5,6,12,13,14],[2,4,5,7,9,13,14],[2,4,8,10,11,13,14],[2,5,6,8,9,11,12],[2,6,7,8,9,10,12],[3,4,5,9,10,11,12],[3,4,6,7,8,10,14],[3,4,6,7,9,11,13],[3,5,6,7,10,12,14],[3,5,7,8,11,12,13],[4,5,6,8,10,11,13]]; G[7128]:=Group([(1,14)(3,13)(6,9)(8,12)]); # Design 7129: autom. group order 2, simple, residual B[7129]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,11,14],[1,2,6,7,11,12,13],[1,3,5,8,12,13,14],[1,3,6,9,11,13,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,13],[1,4,7,8,11,12,14],[1,5,6,9,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,9,11,14],[2,3,9,10,12,13,14],[2,4,5,6,12,13,14],[2,4,5,7,9,13,14],[2,4,8,10,11,13,14],[2,5,6,8,9,11,12],[2,6,7,8,9,10,12],[3,4,5,9,10,11,12],[3,4,6,7,9,11,13],[3,4,6,7,10,12,14],[3,5,6,7,8,10,14],[3,5,7,8,11,12,13],[4,5,6,8,10,11,13]]; G[7129]:=Group([(1,14)(3,13)(6,9)(8,12)]); # Design 7130: autom. group order 2, simple, residual B[7130]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,11,14],[1,2,6,7,11,12,13],[1,3,5,8,12,13,14],[1,3,6,9,11,13,14],[1,4,6,8,9,12,14],[1,4,7,8,9,11,13],[1,4,7,8,10,12,14],[1,5,6,9,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,9,11,14],[2,3,9,10,12,13,14],[2,4,5,6,12,13,14],[2,4,5,7,9,13,14],[2,4,8,10,11,13,14],[2,5,6,8,9,11,12],[2,6,7,8,9,10,12],[3,4,5,9,10,11,12],[3,4,6,7,9,10,13],[3,4,6,7,11,12,14],[3,5,6,7,8,10,14],[3,5,7,8,11,12,13],[4,5,6,8,10,11,13]]; G[7130]:=Group([(1,14)(3,13)(6,9)(8,12)]); # Design 7131: autom. group order 2, simple, residual B[7131]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,9,11,13],[1,3,5,7,8,12,14],[1,3,6,8,9,12,13],[1,4,6,7,9,10,14],[1,4,7,8,10,13,14],[1,4,7,9,11,12,13],[1,5,6,8,10,11,12],[1,5,9,10,11,12,14],[2,3,7,8,11,12,14],[2,3,9,10,12,13,14],[2,4,5,6,9,12,14],[2,4,5,8,10,11,13],[2,4,7,8,9,10,12],[2,5,6,7,10,12,13],[2,6,7,8,9,11,14],[3,4,5,9,11,13,14],[3,4,6,7,11,12,13],[3,4,6,8,10,11,14],[3,5,6,7,9,10,11],[3,5,7,8,9,10,13],[4,5,6,8,12,13,14]]; G[7131]:=Group([(2,11)(3,12)(4,10)(6,9)(7,14)]); # Design 7132: autom. group order 2, simple B[7132]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,12,13],[1,2,6,9,10,11,14],[1,3,5,9,12,13,14],[1,3,6,7,9,11,14],[1,4,6,8,10,12,14],[1,4,7,8,9,11,13],[1,4,7,9,10,12,13],[1,5,6,7,8,12,14],[1,5,8,10,11,13,14],[2,3,7,8,9,12,14],[2,3,7,8,10,13,14],[2,4,5,6,12,13,14],[2,4,5,7,10,11,14],[2,4,8,9,11,12,14],[2,5,6,8,9,11,13],[2,6,7,9,10,12,13],[3,4,5,9,10,13,14],[3,4,6,7,11,13,14],[3,4,6,8,11,12,13],[3,5,6,9,10,11,12],[3,5,7,8,10,11,12],[4,5,6,7,8,9,10]]; G[7132]:=Group([(1,12)(2,11)(4,10)(6,8)]); # Design 7133: autom. group order 2, simple B[7133]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,12,14],[1,2,6,9,10,11,14],[1,3,5,9,12,13,14],[1,3,6,7,11,13,14],[1,4,6,8,10,12,14],[1,4,7,8,9,11,13],[1,4,7,9,10,12,13],[1,5,6,7,8,9,12],[1,5,8,10,11,13,14],[2,3,7,8,9,10,14],[2,3,7,8,12,13,14],[2,4,5,6,12,13,14],[2,4,5,7,10,11,13],[2,4,8,9,11,12,14],[2,5,6,8,9,11,13],[2,6,7,9,10,12,13],[3,4,5,9,10,13,14],[3,4,6,7,9,11,14],[3,4,6,8,11,12,13],[3,5,6,9,10,11,12],[3,5,7,8,10,11,12],[4,5,6,7,8,10,14]]; G[7133]:=Group([(1,12)(2,11)(4,10)(6,8)]); # Design 7134: autom. group order 2, simple, residual B[7134]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,12,13],[1,2,6,9,10,11,14],[1,3,5,9,12,13,14],[1,3,6,7,9,11,14],[1,4,6,8,10,12,14],[1,4,7,8,9,11,13],[1,4,7,9,10,12,13],[1,5,6,8,12,13,14],[1,5,7,8,10,11,14],[2,3,7,8,9,12,14],[2,3,7,8,10,13,14],[2,4,5,6,7,12,14],[2,4,5,10,11,13,14],[2,4,8,9,11,12,14],[2,5,6,8,9,11,13],[2,6,7,9,10,12,13],[3,4,5,9,10,13,14],[3,4,6,7,11,13,14],[3,4,6,8,11,12,13],[3,5,6,9,10,11,12],[3,5,7,8,10,11,12],[4,5,6,7,8,9,10]]; G[7134]:=Group([(1,12)(2,11)(4,10)(6,8)]); # Design 7135: autom. group order 2, simple, residual B[7135]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,12,14],[1,3,5,9,10,12,13],[1,3,6,7,9,11,14],[1,4,6,8,11,12,13],[1,4,7,8,9,10,14],[1,4,7,9,11,12,13],[1,5,6,10,11,12,14],[1,5,7,8,10,13,14],[2,3,7,8,10,11,12],[2,3,8,9,12,13,14],[2,4,5,6,7,12,14],[2,4,5,9,11,13,14],[2,4,7,10,12,13,14],[2,5,6,9,10,11,13],[2,6,7,8,9,10,11],[3,4,5,8,10,11,14],[3,4,6,7,9,10,13],[3,4,6,8,11,13,14],[3,5,6,7,8,12,13],[3,5,7,9,11,12,14],[4,5,6,8,9,10,12]]; G[7135]:=Group([(2,11)(3,12)(5,13)(7,8)]); # Design 7136: autom. group order 2, simple B[7136]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,12,13],[1,2,6,7,10,11,14],[1,3,5,7,12,13,14],[1,3,6,7,9,11,14],[1,4,6,8,10,12,14],[1,4,7,8,9,11,13],[1,4,7,9,10,12,13],[1,5,6,8,9,12,14],[1,5,8,10,11,13,14],[2,3,7,8,9,12,14],[2,3,8,9,10,13,14],[2,4,5,6,12,13,14],[2,4,5,9,10,11,14],[2,4,7,8,11,12,14],[2,5,6,7,8,11,13],[2,6,7,9,10,12,13],[3,4,5,7,10,13,14],[3,4,6,8,11,12,13],[3,4,6,9,11,13,14],[3,5,6,9,10,11,12],[3,5,7,8,10,11,12],[4,5,6,7,8,9,10]]; G[7136]:=Group([(1,12)(2,11)(4,10)(6,8)]); # Design 7137: autom. group order 2, simple, residual B[7137]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,12,13],[1,2,6,7,10,11,14],[1,3,5,7,12,13,14],[1,3,6,7,9,11,14],[1,4,6,8,10,12,14],[1,4,7,8,9,11,13],[1,4,7,9,10,12,13],[1,5,6,8,12,13,14],[1,5,8,9,10,11,14],[2,3,7,8,9,12,14],[2,3,8,9,10,13,14],[2,4,5,6,9,12,14],[2,4,5,10,11,13,14],[2,4,7,8,11,12,14],[2,5,6,7,8,11,13],[2,6,7,9,10,12,13],[3,4,5,7,10,13,14],[3,4,6,8,11,12,13],[3,4,6,9,11,13,14],[3,5,6,9,10,11,12],[3,5,7,8,10,11,12],[4,5,6,7,8,9,10]]; G[7137]:=Group([(1,12)(2,11)(4,10)(6,8)]); # Design 7138: autom. group order 2, simple, residual B[7138]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,11,13],[1,3,5,7,8,12,14],[1,3,6,7,9,12,13],[1,4,6,8,9,10,14],[1,4,7,8,10,13,14],[1,4,8,9,11,12,13],[1,5,6,10,11,12,14],[1,5,7,9,10,11,12],[2,3,7,8,11,12,14],[2,3,8,9,10,12,13],[2,4,5,6,9,12,14],[2,4,5,7,10,11,13],[2,4,7,9,10,12,14],[2,5,6,8,10,12,13],[2,6,7,8,9,11,14],[3,4,5,9,11,13,14],[3,4,6,7,8,10,11],[3,4,6,11,12,13,14],[3,5,6,8,9,10,11],[3,5,7,9,10,13,14],[4,5,6,7,8,12,13]]; G[7138]:=Group([(2,11)(3,12)(4,10)(6,9)(8,14)]); # Design 7139: autom. group order 2, simple B[7139]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,10,13],[1,2,6,7,8,11,14],[1,3,5,7,12,13,14],[1,3,6,8,9,11,12],[1,4,6,7,9,12,13],[1,4,7,8,10,12,14],[1,4,8,9,11,13,14],[1,5,6,10,11,12,14],[1,5,7,9,10,11,13],[2,3,7,8,10,12,13],[2,3,9,11,12,13,14],[2,4,5,6,9,12,14],[2,4,5,7,11,13,14],[2,4,7,9,10,11,12],[2,5,6,8,11,12,13],[2,6,7,8,9,10,14],[3,4,5,8,10,11,14],[3,4,6,7,8,11,13],[3,4,6,9,10,13,14],[3,5,6,7,9,10,11],[3,5,7,8,9,12,14],[4,5,6,8,10,12,13]]; G[7139]:=Group([(1,9)(2,10)(3,7)(4,11)(8,13)]); # Design 7140: autom. group order 2, simple, residual B[7140]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,12,14],[1,2,6,7,8,12,13],[1,3,5,7,11,13,14],[1,3,6,9,12,13,14],[1,4,6,7,9,11,14],[1,4,7,8,10,11,14],[1,4,8,9,11,12,13],[1,5,6,9,10,12,14],[1,5,7,8,9,10,13],[2,3,7,9,10,13,14],[2,3,8,9,11,12,14],[2,4,5,6,8,13,14],[2,4,5,9,11,13,14],[2,4,7,10,12,13,14],[2,5,6,7,9,11,12],[2,6,7,8,9,10,11],[3,4,5,7,9,10,12],[3,4,6,7,8,12,14],[3,4,6,8,9,10,13],[3,5,6,8,10,11,14],[3,5,7,8,11,12,13],[4,5,6,10,11,12,13]]; G[7140]:=Group([(1,14)(3,13)(6,9)(7,11)]); # Design 7141: autom. group order 2, simple, residual B[7141]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,12,14],[1,2,6,7,8,12,13],[1,3,5,7,11,13,14],[1,3,6,9,12,13,14],[1,4,6,7,9,11,14],[1,4,7,8,11,12,14],[1,4,8,9,10,11,13],[1,5,6,9,10,12,14],[1,5,7,8,9,10,13],[2,3,7,9,10,13,14],[2,3,8,9,11,12,14],[2,4,5,6,8,13,14],[2,4,5,9,11,13,14],[2,4,7,10,12,13,14],[2,5,6,7,9,11,12],[2,6,7,8,9,10,11],[3,4,5,7,9,10,12],[3,4,6,7,8,10,14],[3,4,6,8,9,12,13],[3,5,6,8,10,11,14],[3,5,7,8,11,12,13],[4,5,6,10,11,12,13]]; G[7141]:=Group([(1,14)(3,13)(6,9)(7,11)]); # Design 7142: autom. group order 2, simple B[7142]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,12,14],[1,2,6,7,10,11,14],[1,3,5,7,12,13,14],[1,3,6,9,11,13,14],[1,4,6,8,10,12,14],[1,4,7,8,9,11,13],[1,4,7,9,10,12,13],[1,5,6,7,8,9,12],[1,5,8,10,11,13,14],[2,3,7,8,9,10,14],[2,3,8,9,12,13,14],[2,4,5,6,12,13,14],[2,4,5,9,10,11,13],[2,4,7,8,11,12,14],[2,5,6,7,8,11,13],[2,6,7,9,10,12,13],[3,4,5,7,10,13,14],[3,4,6,7,9,11,14],[3,4,6,8,11,12,13],[3,5,6,9,10,11,12],[3,5,7,8,10,11,12],[4,5,6,8,9,10,14]]; G[7142]:=Group([(1,12)(2,11)(4,10)(6,8)]); # Design 7143: autom. group order 2, simple, residual B[7143]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,11,12,13,14],[1,2,6,7,10,11,14],[1,3,5,7,12,13,14],[1,3,6,9,11,13,14],[1,4,6,8,10,12,14],[1,4,7,8,9,11,13],[1,4,7,9,10,12,13],[1,5,6,7,8,9,12],[1,5,8,9,10,11,14],[2,3,7,8,9,10,14],[2,3,8,9,12,13,14],[2,4,5,6,9,12,14],[2,4,5,9,10,11,13],[2,4,7,8,11,12,14],[2,5,6,7,8,11,13],[2,6,7,9,10,12,13],[3,4,5,7,10,13,14],[3,4,6,7,9,11,14],[3,4,6,8,11,12,13],[3,5,6,9,10,11,12],[3,5,7,8,10,11,12],[4,5,6,8,10,13,14]]; G[7143]:=Group([(1,12)(2,11)(4,10)(6,8)]); # Design 7144: autom. group order 2, simple B[7144]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,8,12,14],[1,3,5,7,9,12,13],[1,3,6,8,9,11,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,14],[1,4,7,8,11,12,13],[1,5,6,10,11,12,14],[1,5,7,9,10,13,14],[2,3,7,8,12,13,14],[2,3,7,9,10,11,12],[2,4,5,6,9,12,14],[2,4,5,8,11,13,14],[2,4,9,10,12,13,14],[2,5,6,7,9,11,13],[2,6,7,8,9,10,11],[3,4,5,7,10,11,14],[3,4,6,7,11,13,14],[3,4,6,8,9,10,13],[3,5,6,8,10,12,13],[3,5,8,9,11,12,14],[4,5,6,7,8,10,12]]; G[7144]:=Group([(2,11)(3,12)(5,13)(7,9)]); # Design 7145: autom. group order 2, simple B[7145]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,12,14],[1,3,5,7,9,12,13],[1,3,6,7,8,11,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,14],[1,4,7,8,11,12,13],[1,5,6,10,11,12,14],[1,5,7,9,10,13,14],[2,3,7,9,10,11,12],[2,3,8,9,12,13,14],[2,4,5,6,7,12,14],[2,4,5,8,11,13,14],[2,4,7,10,12,13,14],[2,5,6,7,9,11,13],[2,6,7,8,9,10,11],[3,4,5,9,10,11,14],[3,4,6,7,8,10,13],[3,4,6,9,11,13,14],[3,5,6,8,10,12,13],[3,5,7,8,11,12,14],[4,5,6,8,9,10,12]]; G[7145]:=Group([(2,11)(3,12)(5,13)(7,9)]); # Design 7146: autom. group order 2, simple, residual B[7146]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,11,12,13,14],[1,2,6,8,11,12,14],[1,3,5,8,10,13,14],[1,3,6,7,9,11,14],[1,4,6,8,9,10,12],[1,4,7,8,9,11,13],[1,4,7,10,12,13,14],[1,5,6,8,9,12,13],[1,5,7,9,10,11,14],[2,3,7,8,9,12,14],[2,3,8,9,10,13,14],[2,4,5,7,9,12,14],[2,4,5,9,10,11,13],[2,4,6,8,10,11,14],[2,5,6,7,8,11,13],[2,6,7,9,10,12,13],[3,4,5,6,12,13,14],[3,4,6,9,11,13,14],[3,4,7,8,11,12,13],[3,5,6,9,10,11,12],[3,5,7,8,10,11,12],[4,5,6,7,8,10,14]]; G[7146]:=Group([(1,12)(2,11)(4,10)(6,8)]); # Design 7147: autom. group order 2, simple, residual B[7147]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,12,13],[1,2,6,9,11,12,14],[1,3,5,9,10,13,14],[1,3,6,7,8,11,14],[1,4,6,9,10,12,14],[1,4,7,8,9,11,13],[1,4,7,8,10,12,14],[1,5,6,8,9,12,13],[1,5,7,10,11,13,14],[2,3,7,8,9,12,14],[2,3,8,9,10,13,14],[2,4,5,7,12,13,14],[2,4,5,8,10,11,14],[2,4,6,9,10,11,13],[2,5,6,7,9,11,14],[2,6,7,8,10,12,13],[3,4,5,6,12,13,14],[3,4,6,8,11,13,14],[3,4,7,9,11,12,13],[3,5,6,8,10,11,12],[3,5,7,9,10,11,12],[4,5,6,7,8,9,10]]; G[7147]:=Group([(1,12)(2,11)(4,10)(6,9)]); # Design 7148: autom. group order 2, simple B[7148]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,12,14],[1,2,6,9,11,12,13],[1,3,5,9,10,13,14],[1,3,6,7,8,11,14],[1,4,6,9,10,12,14],[1,4,7,8,9,11,13],[1,4,7,8,10,12,14],[1,5,6,8,9,12,13],[1,5,7,10,11,13,14],[2,3,7,8,9,12,14],[2,3,8,9,10,13,14],[2,4,5,7,12,13,14],[2,4,5,8,10,11,13],[2,4,6,9,10,11,14],[2,5,6,7,9,11,14],[2,6,7,8,10,12,13],[3,4,5,6,12,13,14],[3,4,6,8,11,13,14],[3,4,7,9,11,12,13],[3,5,6,8,10,11,12],[3,5,7,9,10,11,12],[4,5,6,7,8,9,10]]; G[7148]:=Group([(1,12)(2,11)(4,10)(6,9)]); # Design 7149: autom. group order 2, simple B[7149]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,12,13],[1,2,6,9,11,12,14],[1,3,5,9,10,13,14],[1,3,6,8,11,13,14],[1,4,6,9,10,12,14],[1,4,7,8,9,11,13],[1,4,7,8,10,12,14],[1,5,6,7,8,9,12],[1,5,7,10,11,13,14],[2,3,7,8,9,10,14],[2,3,8,9,12,13,14],[2,4,5,7,12,13,14],[2,4,5,8,10,11,14],[2,4,6,9,10,11,13],[2,5,6,7,9,11,14],[2,6,7,8,10,12,13],[3,4,5,6,12,13,14],[3,4,6,7,8,11,14],[3,4,7,9,11,12,13],[3,5,6,8,10,11,12],[3,5,7,9,10,11,12],[4,5,6,8,9,10,13]]; G[7149]:=Group([(1,12)(2,11)(4,10)(6,9)]); # Design 7150: autom. group order 2, simple, residual B[7150]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,12,14],[1,2,6,9,11,12,13],[1,3,5,9,10,13,14],[1,3,6,8,11,13,14],[1,4,6,9,10,12,14],[1,4,7,8,9,11,13],[1,4,7,8,10,12,14],[1,5,6,7,8,9,12],[1,5,7,10,11,13,14],[2,3,7,8,9,10,14],[2,3,8,9,12,13,14],[2,4,5,7,12,13,14],[2,4,5,8,10,11,13],[2,4,6,9,10,11,14],[2,5,6,7,9,11,14],[2,6,7,8,10,12,13],[3,4,5,6,12,13,14],[3,4,6,7,8,11,14],[3,4,7,9,11,12,13],[3,5,6,8,10,11,12],[3,5,7,9,10,11,12],[4,5,6,8,9,10,13]]; G[7150]:=Group([(1,12)(2,11)(4,10)(6,9)]); # Design 7151: autom. group order 2, simple, residual B[7151]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,9,11,13],[1,3,5,7,8,12,14],[1,3,6,8,9,12,13],[1,4,6,7,9,10,14],[1,4,7,8,10,13,14],[1,4,7,9,11,12,13],[1,5,6,8,10,11,12],[1,5,9,10,11,12,14],[2,3,7,8,11,12,14],[2,3,7,9,10,12,13],[2,4,5,8,10,11,13],[2,4,5,9,12,13,14],[2,4,6,8,10,12,14],[2,5,6,7,9,10,12],[2,6,7,8,9,11,14],[3,4,5,6,9,11,14],[3,4,6,11,12,13,14],[3,4,7,8,9,10,11],[3,5,6,7,10,11,13],[3,5,8,9,10,13,14],[4,5,6,7,8,12,13]]; G[7151]:=Group([(2,11)(3,12)(4,10)(6,9)(7,14)]); # Design 7152: autom. group order 2, simple, residual B[7152]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,12,13],[1,2,6,9,11,12,14],[1,3,5,9,10,13,14],[1,3,6,7,11,13,14],[1,4,6,7,9,10,12],[1,4,7,8,9,11,13],[1,4,8,10,12,13,14],[1,5,6,8,9,12,14],[1,5,7,8,10,11,14],[2,3,7,8,9,10,14],[2,3,7,9,12,13,14],[2,4,5,7,8,12,14],[2,4,5,10,11,13,14],[2,4,6,9,10,11,14],[2,5,6,8,9,11,13],[2,6,7,8,10,12,13],[3,4,5,6,12,13,14],[3,4,6,7,8,11,14],[3,4,8,9,11,12,13],[3,5,6,8,10,11,12],[3,5,7,9,10,11,12],[4,5,6,7,9,10,13]]; G[7152]:=Group([(1,12)(2,11)(4,10)(6,9)]); # Design 7153: autom. group order 2, simple, residual B[7153]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,8,9,10,11],[1,3,5,10,12,13,14],[1,3,6,7,11,12,14],[1,4,6,7,9,10,14],[1,4,7,8,9,12,13],[1,4,8,11,12,13,14],[1,5,6,9,10,12,13],[1,5,7,8,9,11,14],[2,3,7,8,9,12,13],[2,3,7,9,10,12,14],[2,4,5,7,11,13,14],[2,4,5,8,10,12,14],[2,4,6,9,11,12,14],[2,5,6,9,11,12,13],[2,6,7,8,10,13,14],[3,4,5,6,9,13,14],[3,4,6,8,10,11,13],[3,4,7,9,10,11,13],[3,5,6,7,8,11,12],[3,5,8,9,10,11,14],[4,5,6,7,8,10,12]]; G[7153]:=Group([(1,10)(2,11)(5,13)(6,9)]); # Design 7154: autom. group order 2, simple, residual B[7154]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,12,14],[1,2,6,9,11,12,13],[1,3,5,9,10,13,14],[1,3,6,7,11,13,14],[1,4,6,9,10,12,14],[1,4,7,8,9,11,13],[1,4,7,8,10,12,14],[1,5,6,7,8,9,12],[1,5,8,10,11,13,14],[2,3,7,8,9,10,14],[2,3,7,9,12,13,14],[2,4,5,7,10,11,13],[2,4,5,8,12,13,14],[2,4,6,9,10,11,14],[2,5,6,8,9,11,14],[2,6,7,8,10,12,13],[3,4,5,6,12,13,14],[3,4,6,7,8,11,14],[3,4,8,9,11,12,13],[3,5,6,8,10,11,12],[3,5,7,9,10,11,12],[4,5,6,7,9,10,13]]; G[7154]:=Group([(1,12)(2,11)(4,10)(6,9)]); # Design 7155: autom. group order 2, simple, residual B[7155]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,12,13],[1,2,6,9,11,12,14],[1,3,5,9,10,13,14],[1,3,6,7,8,11,14],[1,4,6,9,10,12,14],[1,4,7,8,9,11,13],[1,4,7,8,10,12,14],[1,5,6,7,9,12,13],[1,5,8,10,11,13,14],[2,3,7,8,9,12,14],[2,3,7,9,10,13,14],[2,4,5,7,10,11,14],[2,4,5,8,12,13,14],[2,4,6,9,10,11,13],[2,5,6,8,9,11,14],[2,6,7,8,10,12,13],[3,4,5,6,12,13,14],[3,4,6,7,11,13,14],[3,4,8,9,11,12,13],[3,5,6,8,10,11,12],[3,5,7,9,10,11,12],[4,5,6,7,8,9,10]]; G[7155]:=Group([(1,12)(2,11)(4,10)(6,9)]); # Design 7156: autom. group order 2, simple B[7156]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,12,14],[1,2,6,9,11,12,13],[1,3,5,9,10,13,14],[1,3,6,7,8,11,14],[1,4,6,9,10,12,14],[1,4,7,8,9,11,13],[1,4,7,8,10,12,14],[1,5,6,7,9,12,13],[1,5,8,10,11,13,14],[2,3,7,8,9,12,14],[2,3,7,9,10,13,14],[2,4,5,7,10,11,13],[2,4,5,8,12,13,14],[2,4,6,9,10,11,14],[2,5,6,8,9,11,14],[2,6,7,8,10,12,13],[3,4,5,6,12,13,14],[3,4,6,7,11,13,14],[3,4,8,9,11,12,13],[3,5,6,8,10,11,12],[3,5,7,9,10,11,12],[4,5,6,7,8,9,10]]; G[7156]:=Group([(1,12)(2,11)(4,10)(6,9)]); # Design 7157: autom. group order 2, simple, residual B[7157]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,12,14],[1,3,5,9,10,12,13],[1,3,6,7,9,11,14],[1,4,6,8,11,12,13],[1,4,7,8,9,10,14],[1,4,7,9,11,12,13],[1,5,6,10,11,12,14],[1,5,7,8,10,13,14],[2,3,7,8,10,11,12],[2,3,8,9,12,13,14],[2,4,5,7,10,12,14],[2,4,5,9,11,13,14],[2,4,6,7,12,13,14],[2,5,6,9,10,11,13],[2,6,7,8,9,10,11],[3,4,5,6,8,11,14],[3,4,6,7,9,10,13],[3,4,8,10,11,13,14],[3,5,6,7,8,12,13],[3,5,7,9,11,12,14],[4,5,6,8,9,10,12]]; G[7157]:=Group([(2,11)(3,12)(5,13)(7,8)]); # Design 7158: autom. group order 2, simple, residual B[7158]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,11,13],[1,3,5,7,8,12,14],[1,3,6,7,9,12,13],[1,4,6,8,9,10,14],[1,4,7,8,10,13,14],[1,4,8,9,11,12,13],[1,5,6,10,11,12,14],[1,5,7,9,10,11,12],[2,3,7,8,11,12,14],[2,3,9,10,12,13,14],[2,4,5,7,10,11,13],[2,4,5,9,12,13,14],[2,4,6,7,8,10,12],[2,5,6,8,9,10,12],[2,6,7,8,9,11,14],[3,4,5,6,9,11,14],[3,4,6,8,11,12,13],[3,4,7,9,10,11,14],[3,5,6,8,10,11,13],[3,5,7,8,9,10,13],[4,5,6,7,12,13,14]]; G[7158]:=Group([(2,11)(3,12)(4,10)(6,9)(8,14)]); # Design 7159: autom. group order 2, simple, residual B[7159]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,11,14],[1,2,6,7,8,12,14],[1,3,5,7,11,12,14],[1,3,6,9,12,13,14],[1,4,6,7,9,10,13],[1,4,7,8,10,11,14],[1,4,8,9,11,12,13],[1,5,6,8,11,13,14],[1,5,7,9,10,12,13],[2,3,7,8,9,11,13],[2,3,7,10,12,13,14],[2,4,5,7,9,13,14],[2,4,5,8,12,13,14],[2,4,6,10,11,13,14],[2,5,6,9,10,11,12],[2,6,7,8,9,11,12],[3,4,5,6,11,12,13],[3,4,6,7,9,11,14],[3,4,8,9,10,12,14],[3,5,6,8,9,10,14],[3,5,7,8,10,11,13],[4,5,6,7,8,10,12]]; G[7159]:=Group([(1,14)(3,13)(6,12)(7,8)]); # Design 7160: autom. group order 2, simple, residual B[7160]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,8,12,14],[1,3,5,7,9,12,13],[1,3,6,8,9,11,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,14],[1,4,7,8,11,12,13],[1,5,6,10,11,12,14],[1,5,7,9,10,13,14],[2,3,7,8,12,13,14],[2,3,7,9,10,11,12],[2,4,5,8,11,13,14],[2,4,5,9,10,12,14],[2,4,6,7,9,11,14],[2,5,6,7,9,11,13],[2,6,8,9,10,12,13],[3,4,5,6,12,13,14],[3,4,6,8,9,10,13],[3,4,7,10,11,13,14],[3,5,6,7,8,10,11],[3,5,8,9,11,12,14],[4,5,6,7,8,10,12]]; G[7160]:=Group([(2,11)(3,12)(5,13)(7,9)]); # Design 7161: autom. group order 2, simple, residual B[7161]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,12,14],[1,3,5,7,9,12,13],[1,3,6,7,8,11,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,14],[1,4,7,8,11,12,13],[1,5,6,10,11,12,14],[1,5,7,9,10,13,14],[2,3,7,9,10,11,12],[2,3,8,9,12,13,14],[2,4,5,7,10,12,14],[2,4,5,8,11,13,14],[2,4,6,7,9,11,14],[2,5,6,7,9,11,13],[2,6,7,8,10,12,13],[3,4,5,6,12,13,14],[3,4,6,7,8,10,13],[3,4,9,10,11,13,14],[3,5,6,8,9,10,11],[3,5,7,8,11,12,14],[4,5,6,8,9,10,12]]; G[7161]:=Group([(2,11)(3,12)(5,13)(7,9)]); # Design 7162: autom. group order 2, simple B[7162]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,12,14],[1,3,5,7,9,12,13],[1,3,6,7,8,11,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,14],[1,4,7,8,11,12,13],[1,5,6,10,11,12,14],[1,5,7,9,10,13,14],[2,3,7,9,10,11,12],[2,3,8,9,12,13,14],[2,4,5,7,10,12,14],[2,4,5,8,11,13,14],[2,4,6,7,12,13,14],[2,5,6,7,9,11,13],[2,6,7,8,9,10,11],[3,4,5,6,9,11,14],[3,4,6,7,8,10,13],[3,4,9,10,11,13,14],[3,5,6,8,10,12,13],[3,5,7,8,11,12,14],[4,5,6,8,9,10,12]]; G[7162]:=Group([(2,11)(3,12)(5,13)(7,9)]); # Design 7163: autom. group order 2, simple, residual B[7163]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,11,12,13,14],[1,2,6,9,11,12,14],[1,3,5,7,8,11,14],[1,3,6,9,10,12,14],[1,4,6,7,10,11,13],[1,4,7,8,9,11,14],[1,4,8,9,10,13,14],[1,5,6,7,9,12,13],[1,5,7,8,10,12,13],[2,3,7,8,12,13,14],[2,3,7,9,10,13,14],[2,4,5,7,9,10,12],[2,4,5,10,11,13,14],[2,4,6,7,8,12,14],[2,5,6,8,9,11,13],[2,6,7,8,9,10,11],[3,4,5,6,9,13,14],[3,4,6,8,11,12,13],[3,4,7,9,11,12,13],[3,5,6,7,10,11,14],[3,5,8,9,10,11,12],[4,5,6,8,10,12,14]]; G[7163]:=Group([(1,12)(2,11)(5,13)(6,9)]); # Design 7164: autom. group order 2, simple, residual B[7164]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,11,12,13,14],[1,2,6,9,11,12,14],[1,3,5,9,10,13,14],[1,3,6,7,8,11,14],[1,4,6,7,9,10,12],[1,4,7,8,9,11,13],[1,4,8,10,12,13,14],[1,5,6,7,9,12,13],[1,5,7,8,10,11,14],[2,3,7,8,9,12,14],[2,3,7,9,10,13,14],[2,4,5,7,8,12,14],[2,4,5,7,10,11,13],[2,4,6,9,10,11,14],[2,5,6,8,9,11,13],[2,6,7,8,10,12,13],[3,4,5,6,12,13,14],[3,4,6,7,11,13,14],[3,4,8,9,11,12,13],[3,5,6,8,10,11,12],[3,5,7,9,10,11,12],[4,5,6,8,9,10,14]]; G[7164]:=Group([(1,12)(2,11)(4,10)(6,9)]); # Design 7165: autom. group order 2, simple, residual B[7165]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,11,12,13,14],[1,2,6,9,11,12,14],[1,3,5,10,11,13,14],[1,3,6,7,8,12,14],[1,4,6,7,9,10,11],[1,4,7,8,12,13,14],[1,4,8,9,10,13,14],[1,5,6,7,9,11,13],[1,5,7,8,9,10,12],[2,3,7,8,9,11,14],[2,3,7,9,10,13,14],[2,4,5,7,8,11,14],[2,4,5,7,10,12,13],[2,4,6,9,10,12,14],[2,5,6,8,9,12,13],[2,6,7,8,10,11,13],[3,4,5,6,9,13,14],[3,4,6,8,11,12,13],[3,4,7,9,11,12,13],[3,5,6,7,10,12,14],[3,5,8,9,10,11,12],[4,5,6,8,10,11,14]]; G[7165]:=Group([(1,11)(2,12)(5,13)(6,9)]); # Design 7166: autom. group order 2, simple B[7166]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,6,8,9,11,12],[1,3,5,8,11,13,14],[1,3,6,7,9,11,14],[1,4,7,8,9,10,14],[1,4,7,8,10,11,13],[1,4,7,9,12,13,14],[1,5,6,8,10,12,14],[1,5,6,9,10,12,13],[2,3,7,8,9,10,12],[2,3,7,8,12,13,14],[2,4,5,6,7,10,14],[2,4,5,9,11,13,14],[2,4,6,8,12,13,14],[2,5,8,9,10,11,14],[2,6,7,9,10,11,13],[3,4,5,9,10,12,13],[3,4,6,8,10,11,13],[3,4,6,9,11,12,14],[3,5,6,7,8,9,13],[3,5,7,10,11,12,14],[4,5,6,7,8,11,12]]; G[7166]:=Group([(1,7)(2,5)(3,6)(8,10)(9,14)]); # Design 7167: autom. group order 2, simple B[7167]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,6,8,9,11,13],[1,3,5,8,11,12,14],[1,3,6,7,9,11,14],[1,4,7,8,9,10,14],[1,4,7,8,10,11,13],[1,4,7,9,12,13,14],[1,5,6,8,10,12,14],[1,5,6,9,10,12,13],[2,3,7,8,9,10,12],[2,3,7,8,12,13,14],[2,4,5,6,7,10,14],[2,4,5,9,11,13,14],[2,4,6,8,12,13,14],[2,5,8,9,10,11,14],[2,6,7,9,10,11,12],[3,4,5,9,10,12,13],[3,4,6,8,10,11,13],[3,4,6,9,11,12,14],[3,5,6,7,8,9,13],[3,5,7,10,11,13,14],[4,5,6,7,8,11,12]]; G[7167]:=Group([(1,7)(2,5)(3,6)(8,10)(9,14)]); # Design 7168: autom. group order 2, simple B[7168]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,6,8,9,11,12],[1,3,5,8,11,13,14],[1,3,6,7,9,12,14],[1,4,7,8,9,10,14],[1,4,7,8,10,12,13],[1,4,7,9,11,13,14],[1,5,6,8,10,11,14],[1,5,6,9,10,12,13],[2,3,7,8,9,10,11],[2,3,7,8,12,13,14],[2,4,5,6,7,10,14],[2,4,5,9,12,13,14],[2,4,6,8,11,13,14],[2,5,8,9,10,12,14],[2,6,7,9,10,11,13],[3,4,5,9,10,11,13],[3,4,6,8,10,12,13],[3,4,6,9,11,12,14],[3,5,6,7,8,9,13],[3,5,7,10,11,12,14],[4,5,6,7,8,11,12]]; G[7168]:=Group([(1,7)(2,5)(3,6)(8,10)(9,14)]); # Design 7169: autom. group order 2, simple B[7169]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,6,8,9,11,13],[1,3,5,8,11,12,14],[1,3,6,7,9,12,14],[1,4,7,8,9,10,14],[1,4,7,8,10,12,13],[1,4,7,9,11,13,14],[1,5,6,8,10,11,14],[1,5,6,9,10,12,13],[2,3,7,8,9,10,11],[2,3,7,8,12,13,14],[2,4,5,6,7,10,14],[2,4,5,9,12,13,14],[2,4,6,8,11,13,14],[2,5,8,9,10,12,14],[2,6,7,9,10,11,12],[3,4,5,9,10,11,13],[3,4,6,8,10,12,13],[3,4,6,9,11,12,14],[3,5,6,7,8,9,13],[3,5,7,10,11,13,14],[4,5,6,7,8,11,12]]; G[7169]:=Group([(1,7)(2,5)(3,6)(8,10)(9,14)]); # Design 7170: autom. group order 2, simple B[7170]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,6,8,9,11,13],[1,3,5,8,12,13,14],[1,3,6,7,9,11,14],[1,4,7,8,9,10,14],[1,4,7,8,10,11,13],[1,4,7,9,12,13,14],[1,5,6,8,10,12,14],[1,5,6,9,10,11,12],[2,3,7,8,9,10,12],[2,3,7,8,11,12,14],[2,4,5,6,7,10,14],[2,4,5,9,11,13,14],[2,4,6,8,12,13,14],[2,5,8,9,10,11,14],[2,6,7,9,10,12,13],[3,4,5,9,10,12,13],[3,4,6,8,10,11,13],[3,4,6,9,11,12,14],[3,5,6,7,8,9,13],[3,5,7,10,11,13,14],[4,5,6,7,8,11,12]]; G[7170]:=Group([(1,7)(2,5)(3,6)(8,10)(9,14)]); # Design 7171: autom. group order 2, simple B[7171]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,6,8,9,11,13],[1,3,5,8,12,13,14],[1,3,6,7,9,12,14],[1,4,7,8,9,10,14],[1,4,7,8,10,12,13],[1,4,7,9,11,13,14],[1,5,6,8,10,11,14],[1,5,6,9,10,11,12],[2,3,7,8,9,10,11],[2,3,7,8,11,12,14],[2,4,5,6,7,10,14],[2,4,5,9,12,13,14],[2,4,6,8,11,13,14],[2,5,8,9,10,12,14],[2,6,7,9,10,12,13],[3,4,5,9,10,11,13],[3,4,6,8,10,12,13],[3,4,6,9,11,12,14],[3,5,6,7,8,9,13],[3,5,7,10,11,13,14],[4,5,6,7,8,11,12]]; G[7171]:=Group([(1,7)(2,5)(3,6)(8,10)(9,14)]); # Design 7172: autom. group order 2, simple B[7172]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,9,10,11,12],[1,3,5,8,10,12,14],[1,3,6,7,9,11,14],[1,4,7,8,9,12,14],[1,4,7,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,8,9,10,13],[1,5,6,11,12,13,14],[2,3,7,8,9,11,13],[2,3,7,10,12,13,14],[2,4,5,6,7,12,14],[2,4,5,9,11,13,14],[2,4,6,8,10,13,14],[2,5,8,9,11,12,14],[2,6,7,8,9,10,12],[3,4,5,9,10,12,13],[3,4,6,8,11,12,13],[3,4,6,9,10,11,14],[3,5,6,7,9,12,13],[3,5,7,8,10,11,14],[4,5,6,7,8,10,11]]; G[7172]:=Group([(1,7)(2,5)(3,6)(8,12)(9,14)]); # Design 7173: autom. group order 2, simple B[7173]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,9,10,12,13],[1,3,5,8,10,12,14],[1,3,6,7,9,11,14],[1,4,7,8,9,12,14],[1,4,7,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,8,9,10,11],[1,5,6,11,12,13,14],[2,3,7,8,9,11,13],[2,3,7,10,11,12,14],[2,4,5,6,7,12,14],[2,4,5,9,11,13,14],[2,4,6,8,10,13,14],[2,5,8,9,11,12,14],[2,6,7,8,9,10,12],[3,4,5,9,10,12,13],[3,4,6,8,11,12,13],[3,4,6,9,10,11,14],[3,5,6,7,9,12,13],[3,5,7,8,10,13,14],[4,5,6,7,8,10,11]]; G[7173]:=Group([(1,7)(2,5)(3,6)(8,12)(9,14)]); # Design 7174: autom. group order 2, simple B[7174]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,9,10,11,12],[1,3,5,8,10,12,14],[1,3,6,7,9,11,14],[1,4,7,8,9,12,14],[1,4,7,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,8,9,11,13],[1,5,6,10,12,13,14],[2,3,7,8,9,10,13],[2,3,7,11,12,13,14],[2,4,5,6,7,12,14],[2,4,5,9,11,13,14],[2,4,6,8,10,13,14],[2,5,8,9,11,12,14],[2,6,7,8,9,10,12],[3,4,5,9,10,12,13],[3,4,6,8,11,12,13],[3,4,6,9,10,11,14],[3,5,6,7,9,12,13],[3,5,7,8,10,11,14],[4,5,6,7,8,10,11]]; G[7174]:=Group([(1,7)(2,5)(3,6)(8,12)(9,14)]); # Design 7175: autom. group order 2, simple B[7175]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,9,10,12,13],[1,3,5,8,10,12,14],[1,3,6,7,9,11,14],[1,4,7,8,9,12,14],[1,4,7,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,8,9,11,13],[1,5,6,10,11,12,14],[2,3,7,8,9,10,11],[2,3,7,11,12,13,14],[2,4,5,6,7,12,14],[2,4,5,9,11,13,14],[2,4,6,8,10,13,14],[2,5,8,9,11,12,14],[2,6,7,8,9,10,12],[3,4,5,9,10,12,13],[3,4,6,8,11,12,13],[3,4,6,9,10,11,14],[3,5,6,7,9,12,13],[3,5,7,8,10,13,14],[4,5,6,7,8,10,11]]; G[7175]:=Group([(1,7)(2,5)(3,6)(8,12)(9,14)]); # Design 7176: autom. group order 2, simple B[7176]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,9,10,12,13],[1,3,5,8,11,12,14],[1,3,6,7,9,10,14],[1,4,7,8,9,12,14],[1,4,7,8,10,12,13],[1,4,7,9,11,13,14],[1,5,6,8,9,10,11],[1,5,6,11,12,13,14],[2,3,7,8,9,11,13],[2,3,7,10,11,12,14],[2,4,5,6,7,12,14],[2,4,5,9,10,13,14],[2,4,6,8,11,13,14],[2,5,8,9,10,12,14],[2,6,7,8,9,11,12],[3,4,5,9,11,12,13],[3,4,6,8,10,12,13],[3,4,6,9,10,11,14],[3,5,6,7,9,12,13],[3,5,7,8,10,13,14],[4,5,6,7,8,10,11]]; G[7176]:=Group([(1,7)(2,5)(3,6)(8,12)(9,14)]); # Design 7177: autom. group order 2, simple B[7177]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,9,10,12,13],[1,3,5,8,11,12,14],[1,3,6,7,9,10,14],[1,4,7,8,9,12,14],[1,4,7,8,10,12,13],[1,4,7,9,11,13,14],[1,5,6,8,9,11,13],[1,5,6,10,11,12,14],[2,3,7,8,9,10,11],[2,3,7,11,12,13,14],[2,4,5,6,7,12,14],[2,4,5,9,10,13,14],[2,4,6,8,11,13,14],[2,5,8,9,10,12,14],[2,6,7,8,9,11,12],[3,4,5,9,11,12,13],[3,4,6,8,10,12,13],[3,4,6,9,10,11,14],[3,5,6,7,9,12,13],[3,5,7,8,10,13,14],[4,5,6,7,8,10,11]]; G[7177]:=Group([(1,7)(2,5)(3,6)(8,12)(9,14)]); # Design 7178: autom. group order 2, simple B[7178]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,8,9,10,12],[1,3,5,10,11,12,14],[1,3,6,7,9,11,14],[1,4,7,8,9,12,14],[1,4,7,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,8,10,13,14],[1,5,6,9,11,12,13],[2,3,7,8,11,13,14],[2,3,7,9,10,12,13],[2,4,5,6,7,12,14],[2,4,5,9,11,13,14],[2,4,6,10,12,13,14],[2,5,8,9,11,12,14],[2,6,7,8,9,10,11],[3,4,5,8,9,10,13],[3,4,6,8,11,12,13],[3,4,6,9,10,11,14],[3,5,6,7,9,12,13],[3,5,7,8,10,12,14],[4,5,6,7,8,10,11]]; G[7178]:=Group([(1,7)(2,5)(3,6)(8,12)(9,14)]); # Design 7179: autom. group order 2, simple B[7179]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,8,9,10,12],[1,3,5,10,12,13,14],[1,3,6,7,9,11,14],[1,4,7,8,9,12,14],[1,4,7,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,8,10,11,14],[1,5,6,9,11,12,13],[2,3,7,8,11,13,14],[2,3,7,9,10,11,12],[2,4,5,6,7,12,14],[2,4,5,9,11,13,14],[2,4,6,10,12,13,14],[2,5,8,9,11,12,14],[2,6,7,8,9,10,13],[3,4,5,8,9,10,13],[3,4,6,8,11,12,13],[3,4,6,9,10,11,14],[3,5,6,7,9,12,13],[3,5,7,8,10,12,14],[4,5,6,7,8,10,11]]; G[7179]:=Group([(1,7)(2,5)(3,6)(8,12)(9,14)]); # Design 7180: autom. group order 2, simple B[7180]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,8,9,10,12],[1,3,5,10,11,12,14],[1,3,6,7,9,11,14],[1,4,7,8,9,12,14],[1,4,7,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,8,11,13,14],[1,5,6,9,10,12,13],[2,3,7,8,10,13,14],[2,3,7,9,11,12,13],[2,4,5,6,7,12,14],[2,4,5,9,11,13,14],[2,4,6,10,12,13,14],[2,5,8,9,11,12,14],[2,6,7,8,9,10,11],[3,4,5,8,9,10,13],[3,4,6,8,11,12,13],[3,4,6,9,10,11,14],[3,5,6,7,9,12,13],[3,5,7,8,10,12,14],[4,5,6,7,8,10,11]]; G[7180]:=Group([(1,7)(2,5)(3,6)(8,12)(9,14)]); # Design 7181: autom. group order 2, simple B[7181]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,8,9,10,12],[1,3,5,10,12,13,14],[1,3,6,7,9,11,14],[1,4,7,8,9,12,14],[1,4,7,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,8,11,13,14],[1,5,6,9,10,11,12],[2,3,7,8,10,11,14],[2,3,7,9,11,12,13],[2,4,5,6,7,12,14],[2,4,5,9,11,13,14],[2,4,6,10,12,13,14],[2,5,8,9,11,12,14],[2,6,7,8,9,10,13],[3,4,5,8,9,10,13],[3,4,6,8,11,12,13],[3,4,6,9,10,11,14],[3,5,6,7,9,12,13],[3,5,7,8,10,12,14],[4,5,6,7,8,10,11]]; G[7181]:=Group([(1,7)(2,5)(3,6)(8,12)(9,14)]); # Design 7182: autom. group order 2, simple B[7182]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,8,9,10,12],[1,3,5,11,12,13,14],[1,3,6,7,9,11,14],[1,4,7,8,9,12,14],[1,4,7,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,8,10,11,14],[1,5,6,9,10,12,13],[2,3,7,8,10,13,14],[2,3,7,9,10,11,12],[2,4,5,6,7,12,14],[2,4,5,9,11,13,14],[2,4,6,10,12,13,14],[2,5,8,9,11,12,14],[2,6,7,8,9,11,13],[3,4,5,8,9,10,13],[3,4,6,8,11,12,13],[3,4,6,9,10,11,14],[3,5,6,7,9,12,13],[3,5,7,8,10,12,14],[4,5,6,7,8,10,11]]; G[7182]:=Group([(1,7)(2,5)(3,6)(8,12)(9,14)]); # Design 7183: autom. group order 2, simple B[7183]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,8,9,10,12],[1,3,5,11,12,13,14],[1,3,6,7,9,11,14],[1,4,7,8,9,12,14],[1,4,7,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,8,10,13,14],[1,5,6,9,10,11,12],[2,3,7,8,10,11,14],[2,3,7,9,10,12,13],[2,4,5,6,7,12,14],[2,4,5,9,11,13,14],[2,4,6,10,12,13,14],[2,5,8,9,11,12,14],[2,6,7,8,9,11,13],[3,4,5,8,9,10,13],[3,4,6,8,11,12,13],[3,4,6,9,10,11,14],[3,5,6,7,9,12,13],[3,5,7,8,10,12,14],[4,5,6,7,8,10,11]]; G[7183]:=Group([(1,7)(2,5)(3,6)(8,12)(9,14)]); # Design 7184: autom. group order 2, simple, residual B[7184]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,11,14],[1,3,5,7,10,12,13],[1,3,8,9,10,13,14],[1,4,6,7,8,9,14],[1,4,6,8,11,12,13],[1,4,7,9,11,12,13],[1,5,6,8,10,12,14],[1,5,7,9,11,12,14],[2,3,6,8,9,11,12],[2,3,7,8,11,12,14],[2,4,5,6,12,13,14],[2,4,5,9,10,12,14],[2,4,7,8,9,10,13],[2,5,7,8,11,13,14],[2,6,7,9,10,12,13],[3,4,5,9,11,13,14],[3,4,6,10,11,13,14],[3,4,7,8,10,12,14],[3,5,6,7,9,10,11],[3,5,6,8,9,12,13],[4,5,6,7,8,10,11]]; G[7184]:=Group([(2,11)(3,12)(5,13)(6,9)]); # Design 7185: autom. group order 2, simple, residual B[7185]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,14],[1,3,5,7,10,12,13],[1,3,8,9,10,13,14],[1,4,6,7,8,9,14],[1,4,6,8,11,12,13],[1,4,7,9,11,12,13],[1,5,6,8,11,12,14],[1,5,7,9,10,11,14],[2,3,6,8,9,11,13],[2,3,7,8,11,12,14],[2,4,5,6,10,11,14],[2,4,5,9,12,13,14],[2,4,7,8,9,10,12],[2,5,7,8,12,13,14],[2,6,7,9,10,11,13],[3,4,5,9,11,13,14],[3,4,6,10,12,13,14],[3,4,7,8,10,11,14],[3,5,6,7,9,11,12],[3,5,6,8,9,10,12],[4,5,6,7,8,10,13]]; G[7185]:=Group([(2,12)(3,11)(5,13)(7,8)]); # Design 7186: autom. group order 2, simple B[7186]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,9,10,14],[1,3,5,7,12,13,14],[1,3,8,9,10,13,14],[1,4,6,7,9,12,14],[1,4,6,8,11,12,13],[1,4,7,9,11,13,14],[1,5,6,8,10,11,12],[1,5,7,9,10,11,12],[2,3,6,11,12,13,14],[2,3,7,8,9,11,12],[2,4,5,6,9,11,14],[2,4,5,10,12,13,14],[2,4,7,8,10,12,14],[2,5,7,9,10,11,13],[2,6,7,8,9,12,13],[3,4,5,8,9,12,13],[3,4,6,9,10,11,13],[3,4,7,8,10,11,14],[3,5,6,7,8,11,14],[3,5,6,9,10,12,14],[4,5,6,7,8,10,13]]; G[7186]:=Group([(2,12)(3,11)(4,10)(7,8)]); # Design 7187: autom. group order 2, simple, residual B[7187]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,9,10,14],[1,3,5,7,12,13,14],[1,3,8,9,10,13,14],[1,4,6,7,9,12,14],[1,4,6,8,11,12,13],[1,4,7,9,11,13,14],[1,5,6,8,10,11,12],[1,5,7,9,10,11,12],[2,3,6,9,11,12,14],[2,3,7,8,11,12,14],[2,4,5,6,11,13,14],[2,4,5,9,10,12,13],[2,4,7,8,10,12,14],[2,5,7,8,9,12,13],[2,6,7,9,10,11,13],[3,4,5,9,10,11,14],[3,4,6,8,9,12,13],[3,4,7,8,10,11,13],[3,5,6,7,8,9,11],[3,5,6,10,12,13,14],[4,5,6,7,8,10,14]]; G[7187]:=Group([(2,12)(3,11)(4,10)(7,8)]); # Design 7188: autom. group order 2, simple, residual B[7188]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,9,10,14],[1,3,5,7,12,13,14],[1,3,8,9,10,13,14],[1,4,6,7,9,12,14],[1,4,6,8,11,12,13],[1,4,7,9,11,13,14],[1,5,6,8,10,11,12],[1,5,7,9,10,11,12],[2,3,6,11,12,13,14],[2,3,7,8,9,11,12],[2,4,5,6,9,11,14],[2,4,5,10,12,13,14],[2,4,7,8,10,12,14],[2,5,7,8,9,12,13],[2,6,7,9,10,11,13],[3,4,5,9,10,11,13],[3,4,6,8,9,12,13],[3,4,7,8,10,11,14],[3,5,6,7,8,11,14],[3,5,6,9,10,12,14],[4,5,6,7,8,10,13]]; G[7188]:=Group([(2,12)(3,11)(4,10)(7,8)]); # Design 7189: autom. group order 2, simple B[7189]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,13,14],[1,2,6,8,11,12,13],[1,3,5,9,10,11,14],[1,3,7,8,11,12,14],[1,4,6,8,9,11,14],[1,4,6,10,12,13,14],[1,4,7,9,10,12,13],[1,5,6,7,9,11,13],[1,5,7,8,9,10,12],[2,3,6,9,10,11,12],[2,3,7,8,9,12,13],[2,4,5,6,9,12,14],[2,4,5,7,10,11,13],[2,4,7,8,10,11,14],[2,5,9,11,12,13,14],[2,6,7,8,9,10,14],[3,4,5,8,12,13,14],[3,4,6,8,9,10,13],[3,4,7,9,11,13,14],[3,5,6,7,10,12,14],[3,5,6,8,10,11,13],[4,5,6,7,8,11,12]]; G[7189]:=Group([(2,10)(3,12)(5,13)(6,9)(8,14)]); # Design 7190: autom. group order 2, simple B[7190]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,8,10,14],[1,3,5,8,9,12,14],[1,3,7,9,12,13,14],[1,4,6,7,9,11,12],[1,4,6,8,9,11,13],[1,4,7,9,10,13,14],[1,5,6,10,11,12,13],[1,5,8,10,11,12,14],[2,3,6,9,11,12,14],[2,3,7,8,11,12,13],[2,4,5,6,12,13,14],[2,4,5,9,10,11,14],[2,4,8,9,10,12,13],[2,5,7,9,11,13,14],[2,6,7,8,9,10,12],[3,4,5,7,10,12,13],[3,4,6,8,11,13,14],[3,4,7,8,10,11,14],[3,5,6,7,9,10,11],[3,5,6,8,9,10,13],[4,5,6,7,8,12,14]]; G[7190]:=Group([(2,11)(3,12)(4,10)(7,13)(9,14)]); # Design 7191: autom. group order 2, simple B[7191]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,8,10,14],[1,3,5,8,9,12,14],[1,3,7,9,12,13,14],[1,4,6,7,9,11,12],[1,4,6,8,9,11,13],[1,4,7,9,10,13,14],[1,5,6,10,11,12,13],[1,5,8,10,11,12,14],[2,3,6,9,11,12,14],[2,3,7,8,11,12,13],[2,4,5,6,12,13,14],[2,4,5,9,10,12,13],[2,4,8,9,10,11,14],[2,5,7,9,11,13,14],[2,6,7,8,9,10,12],[3,4,5,7,10,11,14],[3,4,6,8,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,9,10,13],[4,5,6,7,8,12,14]]; G[7191]:=Group([(2,11)(3,12)(4,10)(7,13)(9,14)]); # Design 7192: autom. group order 2, simple, residual B[7192]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,8,10,14],[1,3,5,8,9,12,14],[1,3,7,9,12,13,14],[1,4,6,7,9,11,12],[1,4,6,8,9,11,13],[1,4,7,9,10,13,14],[1,5,6,10,11,12,13],[1,5,8,10,11,12,14],[2,3,6,9,11,12,14],[2,3,8,9,10,11,13],[2,4,5,6,12,13,14],[2,4,5,9,10,12,13],[2,4,7,8,11,12,14],[2,5,7,9,11,13,14],[2,6,7,8,9,10,12],[3,4,5,7,10,11,14],[3,4,6,8,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,8,12,13],[3,5,6,7,9,10,11],[4,5,6,8,9,10,14]]; G[7192]:=Group([(2,11)(3,12)(4,10)(7,13)(9,14)]); # Design 7193: autom. group order 2, simple, residual B[7193]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,7,9,10,14],[1,3,5,8,12,13,14],[1,3,7,9,10,13,14],[1,4,6,7,11,12,13],[1,4,6,8,9,12,14],[1,4,8,9,11,13,14],[1,5,6,8,10,11,12],[1,5,7,9,10,11,12],[2,3,6,9,11,12,14],[2,3,7,8,11,12,14],[2,4,5,6,11,13,14],[2,4,5,9,10,12,13],[2,4,7,8,10,12,14],[2,5,7,8,9,12,13],[2,6,8,9,10,11,13],[3,4,5,9,10,11,14],[3,4,6,7,9,12,13],[3,4,7,8,10,11,13],[3,5,6,7,8,9,11],[3,5,6,10,12,13,14],[4,5,6,7,8,10,14]]; G[7193]:=Group([(2,12)(3,11)(4,10)(7,8)]); # Design 7194: autom. group order 2, simple B[7194]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,7,9,10,14],[1,3,5,8,12,13,14],[1,3,7,9,10,13,14],[1,4,6,7,11,12,13],[1,4,6,8,9,12,14],[1,4,8,9,11,13,14],[1,5,6,8,10,11,12],[1,5,7,9,10,11,12],[2,3,6,9,11,12,14],[2,3,7,8,11,12,14],[2,4,5,6,11,13,14],[2,4,5,9,10,12,14],[2,4,7,8,10,12,13],[2,5,7,8,9,12,13],[2,6,8,9,10,11,13],[3,4,5,9,10,11,13],[3,4,6,7,9,12,13],[3,4,7,8,10,11,14],[3,5,6,7,8,9,11],[3,5,6,10,12,13,14],[4,5,6,7,8,10,14]]; G[7194]:=Group([(2,12)(3,11)(4,10)(7,8)]); # Design 7195: autom. group order 2, simple, residual B[7195]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,7,9,10,14],[1,3,5,8,12,13,14],[1,3,7,9,10,13,14],[1,4,6,7,11,12,13],[1,4,6,8,9,12,14],[1,4,8,9,11,13,14],[1,5,6,8,10,11,12],[1,5,7,9,10,11,12],[2,3,6,9,11,12,14],[2,3,7,8,11,12,14],[2,4,5,6,11,13,14],[2,4,5,9,10,12,14],[2,4,7,8,10,12,13],[2,5,8,9,10,11,13],[2,6,7,8,9,12,13],[3,4,5,7,9,12,13],[3,4,6,9,10,11,13],[3,4,7,8,10,11,14],[3,5,6,7,8,9,11],[3,5,6,10,12,13,14],[4,5,6,7,8,10,14]]; G[7195]:=Group([(2,12)(3,11)(4,10)(7,8)]); # Design 7196: autom. group order 2, simple B[7196]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,7,9,10,14],[1,3,5,8,12,13,14],[1,3,7,9,10,13,14],[1,4,6,7,11,12,13],[1,4,6,8,9,12,14],[1,4,8,9,11,13,14],[1,5,6,8,10,11,12],[1,5,7,9,10,11,12],[2,3,6,11,12,13,14],[2,3,7,8,9,11,12],[2,4,5,6,9,11,14],[2,4,5,10,12,13,14],[2,4,7,8,10,12,14],[2,5,8,9,10,11,13],[2,6,7,8,9,12,13],[3,4,5,7,9,12,13],[3,4,6,9,10,11,13],[3,4,7,8,10,11,14],[3,5,6,7,8,11,14],[3,5,6,9,10,12,14],[4,5,6,7,8,10,13]]; G[7196]:=Group([(2,12)(3,11)(4,10)(7,8)]); # Design 7197: autom. group order 2, simple B[7197]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,6,7,11,12,13],[1,3,5,9,10,11,14],[1,3,7,8,9,11,13],[1,4,6,7,9,11,14],[1,4,6,8,10,12,13],[1,4,9,10,12,13,14],[1,5,6,8,11,12,14],[1,5,7,8,9,10,12],[2,3,6,9,10,11,12],[2,3,7,8,10,12,14],[2,4,5,6,9,12,14],[2,4,5,8,10,11,13],[2,4,8,9,11,13,14],[2,5,7,9,11,12,13],[2,6,7,8,9,10,14],[3,4,5,7,12,13,14],[3,4,6,7,9,10,13],[3,4,7,8,11,12,14],[3,5,6,8,9,12,13],[3,5,6,10,11,13,14],[4,5,6,7,8,10,11]]; G[7197]:=Group([(2,10)(3,12)(5,13)(6,9)(7,14)]); # Design 7198: autom. group order 2, simple, residual B[7198]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,6,7,11,12,13],[1,3,5,9,10,11,14],[1,3,7,8,9,11,13],[1,4,6,7,9,11,14],[1,4,6,8,10,12,13],[1,4,9,10,12,13,14],[1,5,6,8,11,12,14],[1,5,7,8,9,10,12],[2,3,6,9,10,11,12],[2,3,8,9,12,13,14],[2,4,5,6,9,12,14],[2,4,5,8,10,11,13],[2,4,7,8,10,11,14],[2,5,7,9,11,12,13],[2,6,7,8,9,10,14],[3,4,5,7,12,13,14],[3,4,6,7,9,10,13],[3,4,7,8,11,12,14],[3,5,6,7,8,10,12],[3,5,6,10,11,13,14],[4,5,6,8,9,11,13]]; G[7198]:=Group([(2,10)(3,12)(5,13)(6,9)(7,14)]); # Design 7199: autom. group order 2, simple, residual B[7199]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,7,8,12,13],[1,3,5,8,9,12,13],[1,3,7,8,9,11,14],[1,4,6,9,10,13,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,14],[1,5,6,8,10,11,12],[1,5,7,10,11,12,14],[2,3,6,7,9,10,11],[2,3,8,10,12,13,14],[2,4,5,6,8,11,14],[2,4,5,9,10,12,14],[2,4,7,9,11,12,13],[2,5,8,9,10,11,13],[2,6,7,8,9,12,14],[3,4,5,7,12,13,14],[3,4,6,8,11,12,14],[3,4,7,8,10,11,13],[3,5,6,7,9,10,12],[3,5,6,9,11,13,14],[4,5,6,7,8,10,13]]; G[7199]:=Group([(2,12)(3,11)(4,10)(7,8)(9,14)]); # Design 7200: autom. group order 2, simple, residual B[7200]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,7,8,10,13],[1,3,5,8,9,12,13],[1,3,7,8,9,11,14],[1,4,6,8,11,12,13],[1,4,6,9,12,13,14],[1,4,7,8,9,10,14],[1,5,6,9,10,11,12],[1,5,7,10,11,12,14],[2,3,6,7,9,11,12],[2,3,9,10,12,13,14],[2,4,5,6,9,11,14],[2,4,5,8,10,12,14],[2,4,7,8,11,12,13],[2,5,8,9,10,11,13],[2,6,7,8,9,12,14],[3,4,5,7,12,13,14],[3,4,6,8,10,11,14],[3,4,7,9,10,11,13],[3,5,6,7,8,10,12],[3,5,6,8,11,13,14],[4,5,6,7,9,10,13]]; G[7200]:=Group([(2,12)(3,11)(4,10)(7,9)(8,14)]); # Design 7201: autom. group order 2, simple B[7201]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,6,7,9,11,14],[1,3,5,8,11,12,14],[1,3,7,9,11,12,13],[1,4,6,8,9,12,14],[1,4,6,9,10,11,13],[1,4,7,8,10,12,14],[1,5,6,8,11,13,14],[1,5,7,9,10,12,13],[2,3,6,7,9,12,14],[2,3,8,9,10,13,14],[2,4,5,6,11,12,13],[2,4,5,9,12,13,14],[2,4,7,8,11,13,14],[2,5,8,9,10,11,12],[2,6,7,8,10,11,12],[3,4,5,7,10,11,14],[3,4,6,10,12,13,14],[3,4,7,8,9,11,13],[3,5,6,7,8,12,13],[3,5,6,9,10,11,14],[4,5,6,7,8,9,10]]; G[7201]:=Group([(1,11)(3,12)(4,10)(5,8)]); # Design 7202: autom. group order 2, simple, residual B[7202]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,6,7,9,11,14],[1,3,5,8,11,12,14],[1,3,7,9,11,12,13],[1,4,6,8,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,12,14],[1,5,6,8,9,11,14],[1,5,7,9,10,12,13],[2,3,6,7,9,12,14],[2,3,8,9,10,13,14],[2,4,5,6,11,12,13],[2,4,5,9,12,13,14],[2,4,7,8,11,13,14],[2,5,8,9,10,11,12],[2,6,7,8,10,11,12],[3,4,5,7,10,11,14],[3,4,6,9,10,12,14],[3,4,7,8,9,11,13],[3,5,6,7,8,12,13],[3,5,6,10,11,13,14],[4,5,6,7,8,9,10]]; G[7202]:=Group([(1,11)(3,12)(4,10)(5,8)]); # Design 7203: autom. group order 2, simple B[7203]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,10,11,13],[1,2,6,7,8,11,12],[1,3,5,9,10,12,14],[1,3,7,8,9,11,14],[1,4,6,8,10,12,14],[1,4,6,9,11,12,13],[1,4,7,9,12,13,14],[1,5,6,8,11,13,14],[1,5,7,8,9,10,13],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,5,6,8,9,14],[2,4,5,7,12,13,14],[2,4,8,9,10,11,13],[2,5,9,10,11,12,14],[2,6,7,8,9,10,12],[3,4,5,8,11,12,13],[3,4,6,7,9,10,13],[3,4,7,8,10,11,14],[3,5,6,7,9,11,12],[3,5,6,8,10,12,13],[4,5,6,7,10,11,14]]; G[7203]:=Group([(1,9)(3,8)(7,14)(12,13)]); # Design 7204: autom. group order 2, simple B[7204]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,10,11,13],[1,2,6,7,8,11,12],[1,3,5,9,11,12,14],[1,3,7,8,9,10,14],[1,4,6,8,11,13,14],[1,4,6,9,10,12,13],[1,4,7,9,12,13,14],[1,5,6,8,10,12,14],[1,5,7,8,9,11,13],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,5,6,8,9,14],[2,4,5,7,12,13,14],[2,4,8,9,10,11,13],[2,5,9,10,11,12,14],[2,6,7,8,9,10,12],[3,4,5,8,10,12,13],[3,4,6,7,9,11,12],[3,4,7,8,10,11,14],[3,5,6,7,9,10,13],[3,5,6,8,11,12,13],[4,5,6,7,10,11,14]]; G[7204]:=Group([(1,9)(3,8)(7,14)(12,13)]); # Design 7205: autom. group order 2, simple, residual B[7205]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,11],[1,2,6,7,11,12,13],[1,3,5,9,10,12,14],[1,3,7,9,11,13,14],[1,4,6,8,11,12,14],[1,4,6,9,10,12,13],[1,4,7,8,9,12,14],[1,5,6,8,9,11,13],[1,5,7,8,10,13,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,9,13,14],[2,4,5,7,12,13,14],[2,4,8,10,11,13,14],[2,5,9,10,11,12,14],[2,6,7,8,9,10,12],[3,4,5,8,11,12,13],[3,4,6,7,8,10,14],[3,4,7,9,10,11,13],[3,5,6,7,11,12,14],[3,5,6,8,10,12,13],[4,5,6,7,9,10,11]]; G[7205]:=Group([(1,14)(3,13)(7,9)(8,12)]); # Design 7206: autom. group order 2, simple, residual B[7206]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,11],[1,2,6,7,11,12,13],[1,3,5,9,11,12,14],[1,3,7,9,10,13,14],[1,4,6,8,10,12,14],[1,4,6,9,11,12,13],[1,4,7,8,9,12,14],[1,5,6,8,9,10,13],[1,5,7,8,11,13,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,9,13,14],[2,4,5,7,12,13,14],[2,4,8,10,11,13,14],[2,5,9,10,11,12,14],[2,6,7,8,9,10,12],[3,4,5,8,10,12,13],[3,4,6,7,8,11,14],[3,4,7,9,10,11,13],[3,5,6,7,10,12,14],[3,5,6,8,11,12,13],[4,5,6,7,9,10,11]]; G[7206]:=Group([(1,14)(3,13)(7,9)(8,12)]); # Design 7207: autom. group order 2, simple, residual B[7207]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,11],[1,2,6,7,11,12,13],[1,3,5,9,11,12,14],[1,3,7,9,10,13,14],[1,4,6,8,9,11,13],[1,4,6,8,10,12,14],[1,4,7,8,9,12,14],[1,5,6,9,10,12,13],[1,5,7,8,11,13,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,9,13,14],[2,4,5,7,12,13,14],[2,4,8,10,11,13,14],[2,5,9,10,11,12,14],[2,6,7,8,9,10,12],[3,4,5,8,10,12,13],[3,4,6,7,11,12,14],[3,4,7,9,10,11,13],[3,5,6,7,8,10,14],[3,5,6,8,11,12,13],[4,5,6,7,9,10,11]]; G[7207]:=Group([(1,14)(3,13)(7,9)(8,12)]); # Design 7208: autom. group order 2, simple, residual B[7208]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,9,10,13],[1,3,5,9,12,13,14],[1,3,7,8,9,12,14],[1,4,6,8,11,13,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,14],[1,5,6,8,10,11,12],[1,5,7,10,11,12,14],[2,3,6,9,11,12,14],[2,3,7,8,11,12,13],[2,4,5,6,8,12,14],[2,4,5,9,10,11,14],[2,4,7,10,12,13,14],[2,5,8,9,10,12,13],[2,6,7,8,9,11,14],[3,4,5,7,11,13,14],[3,4,6,7,8,10,12],[3,4,8,9,10,11,13],[3,5,6,7,9,10,11],[3,5,6,8,10,13,14],[4,5,6,7,9,12,13]]; G[7208]:=Group([(2,11)(3,12)(4,10)(7,8)(9,14)]); # Design 7209: autom. group order 2, simple, residual B[7209]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,11],[1,2,6,7,9,11,13],[1,3,5,9,10,12,14],[1,3,7,8,12,13,14],[1,4,6,8,9,11,14],[1,4,6,8,10,12,13],[1,4,7,9,11,12,14],[1,5,6,8,11,12,13],[1,5,7,9,10,13,14],[2,3,6,9,11,12,14],[2,3,7,8,9,12,13],[2,4,5,6,12,13,14],[2,4,5,8,9,13,14],[2,4,7,10,11,13,14],[2,5,8,10,11,12,14],[2,6,7,8,9,10,12],[3,4,5,7,11,12,13],[3,4,6,7,8,10,14],[3,4,8,9,10,11,13],[3,5,6,7,8,11,14],[3,5,6,9,10,11,13],[4,5,6,7,9,10,12]]; G[7209]:=Group([(1,14)(3,13)(7,12)]); # Design 7210: autom. group order 2, simple, residual B[7210]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,9,11,14],[1,2,6,9,10,13,14],[1,3,5,9,12,13,14],[1,3,7,8,11,13,14],[1,4,6,7,8,11,12],[1,4,6,7,9,12,14],[1,4,7,8,10,13,14],[1,5,6,10,11,12,13],[1,5,8,9,10,11,12],[2,3,6,8,11,12,14],[2,3,7,9,11,12,13],[2,4,5,6,11,13,14],[2,4,5,7,10,12,13],[2,4,8,9,10,12,14],[2,5,7,8,10,11,14],[2,6,7,8,9,12,13],[3,4,5,8,12,13,14],[3,4,6,9,10,11,14],[3,4,7,9,10,11,13],[3,5,6,7,8,9,10],[3,5,6,7,10,12,14],[4,5,6,8,9,11,13]]; G[7210]:=Group([(2,12)(3,11)(4,10)(7,13)]); # Design 7211: autom. group order 2, simple, residual B[7211]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,9,10,12,13],[1,3,5,8,10,11,14],[1,3,7,9,10,12,14],[1,4,6,7,8,9,13],[1,4,6,7,11,12,14],[1,4,8,11,12,13,14],[1,5,6,8,9,11,12],[1,5,7,9,10,13,14],[2,3,6,7,9,11,14],[2,3,7,8,12,13,14],[2,4,5,6,10,12,14],[2,4,5,9,12,13,14],[2,4,7,8,10,11,13],[2,5,7,8,9,11,12],[2,6,8,9,10,11,14],[3,4,5,9,11,13,14],[3,4,6,9,10,11,13],[3,4,7,8,9,10,12],[3,5,6,7,11,12,13],[3,5,6,8,10,12,13],[4,5,6,7,8,10,14]]; G[7211]:=Group([(2,12)(3,11)(5,14)(9,13)]); # Design 7212: autom. group order 2, simple B[7212]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,6,8,9,13,14],[1,3,5,8,10,12,14],[1,3,7,9,10,13,14],[1,4,6,7,8,11,14],[1,4,6,7,9,10,12],[1,4,8,9,11,12,14],[1,5,6,9,11,12,13],[1,5,7,8,10,11,13],[2,3,6,7,8,11,14],[2,3,8,9,11,12,13],[2,4,5,6,12,13,14],[2,4,5,9,10,11,14],[2,4,7,8,10,12,13],[2,5,7,9,10,11,14],[2,6,7,8,9,10,12],[3,4,5,7,8,9,13],[3,4,6,9,10,13,14],[3,4,7,11,12,13,14],[3,5,6,7,9,11,12],[3,5,6,8,10,12,14],[4,5,6,8,10,11,13]]; G[7212]:=Group([(1,6)(2,9)(3,12)(4,7)(5,10)]); # Design 7213: autom. group order 2, simple B[7213]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,8,9,12,14],[1,3,5,10,11,12,14],[1,3,7,9,10,13,14],[1,4,6,7,8,12,14],[1,4,6,7,9,10,11],[1,4,8,9,11,13,14],[1,5,6,9,11,12,13],[1,5,7,8,10,12,13],[2,3,6,7,12,13,14],[2,3,8,9,11,12,13],[2,4,5,6,11,13,14],[2,4,5,9,10,12,14],[2,4,7,8,10,11,13],[2,5,7,8,9,10,14],[2,6,7,9,10,11,12],[3,4,5,7,9,12,13],[3,4,6,9,10,13,14],[3,4,7,8,11,12,14],[3,5,6,7,8,9,11],[3,5,6,8,10,11,14],[4,5,6,8,10,12,13]]; G[7213]:=Group([(1,6)(2,9)(3,11)(4,7)(5,10)(8,12)]); # Design 7214: autom. group order 2, simple, residual B[7214]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,6,9,11,13,14],[1,3,5,8,11,12,14],[1,3,7,9,11,12,13],[1,4,6,7,8,12,13],[1,4,6,7,10,11,14],[1,4,8,9,10,12,14],[1,5,6,9,10,12,14],[1,5,7,8,9,11,13],[2,3,6,9,12,13,14],[2,3,7,8,9,10,14],[2,4,5,6,9,11,12],[2,4,5,7,12,13,14],[2,4,7,8,9,11,14],[2,5,8,10,11,12,13],[2,6,7,8,10,11,12],[3,4,5,10,11,13,14],[3,4,6,8,11,13,14],[3,4,7,9,10,12,13],[3,5,6,7,8,12,14],[3,5,6,7,9,10,11],[4,5,6,8,9,10,13]]; G[7214]:=Group([(1,11)(3,12)(4,10)(5,8)(9,13)]); # Design 7215: autom. group order 2, simple, residual B[7215]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,6,9,11,13,14],[1,3,5,8,11,12,14],[1,3,7,9,11,12,13],[1,4,6,7,8,12,14],[1,4,6,7,9,10,11],[1,4,8,10,12,13,14],[1,5,6,8,9,11,14],[1,5,7,9,10,12,13],[2,3,6,9,12,13,14],[2,3,7,8,9,10,14],[2,4,5,6,11,12,13],[2,4,5,7,9,12,14],[2,4,7,8,11,13,14],[2,5,8,9,10,11,12],[2,6,7,8,10,11,12],[3,4,5,10,11,13,14],[3,4,6,9,10,12,14],[3,4,7,8,9,11,13],[3,5,6,7,8,12,13],[3,5,6,7,10,11,14],[4,5,6,8,9,10,13]]; G[7215]:=Group([(1,11)(3,12)(4,10)(5,8)]); # Design 7216: autom. group order 2, simple B[7216]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,10,11,13],[1,2,6,8,9,11,14],[1,3,5,8,12,13,14],[1,3,7,8,10,12,14],[1,4,6,7,8,9,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,13],[1,5,6,7,9,10,13],[1,5,8,9,10,11,12],[2,3,6,7,9,11,12],[2,3,7,9,12,13,14],[2,4,5,6,8,12,13],[2,4,5,9,10,12,14],[2,4,7,8,10,11,14],[2,5,7,8,11,13,14],[2,6,8,9,10,12,13],[3,4,5,9,11,13,14],[3,4,6,8,10,11,13],[3,4,7,8,9,10,13],[3,5,6,7,8,11,12],[3,5,6,9,10,11,14],[4,5,6,7,10,12,14]]; G[7216]:=Group([(2,11)(3,12)(5,13)(6,9)(8,14)]); # Design 7217: autom. group order 2, simple, residual B[7217]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,9,10,11,14],[1,3,5,8,10,12,13],[1,3,7,9,10,13,14],[1,4,6,7,8,9,14],[1,4,6,8,11,12,13],[1,4,7,9,11,12,13],[1,5,6,7,10,12,14],[1,5,8,9,11,12,14],[2,3,6,7,9,11,12],[2,3,7,8,11,12,14],[2,4,5,6,12,13,14],[2,4,5,9,10,12,14],[2,4,7,8,9,10,13],[2,5,7,8,11,13,14],[2,6,8,9,10,12,13],[3,4,5,9,11,13,14],[3,4,6,10,11,13,14],[3,4,7,8,10,12,14],[3,5,6,7,9,12,13],[3,5,6,8,9,10,11],[4,5,6,7,8,10,11]]; G[7217]:=Group([(2,11)(3,12)(5,13)(6,9)]); # Design 7218: autom. group order 2, simple, residual B[7218]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,9,10,12,14],[1,3,5,8,10,12,13],[1,3,7,9,10,13,14],[1,4,6,7,8,9,14],[1,4,6,8,11,12,13],[1,4,7,9,11,12,13],[1,5,6,7,11,12,14],[1,5,8,9,10,11,14],[2,3,6,7,9,11,13],[2,3,7,8,11,12,14],[2,4,5,6,10,11,14],[2,4,5,9,12,13,14],[2,4,7,8,9,10,12],[2,5,7,8,12,13,14],[2,6,8,9,10,11,13],[3,4,5,9,11,13,14],[3,4,6,10,12,13,14],[3,4,7,8,10,11,14],[3,5,6,7,9,10,12],[3,5,6,8,9,11,12],[4,5,6,7,8,10,13]]; G[7218]:=Group([(2,12)(3,11)(5,13)(7,8)]); # Design 7219: autom. group order 2, simple B[7219]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,10,11,13],[1,2,6,8,11,13,14],[1,3,5,9,11,12,14],[1,3,7,8,9,10,14],[1,4,6,7,8,11,12],[1,4,6,9,10,12,13],[1,4,7,9,12,13,14],[1,5,6,8,10,12,14],[1,5,7,8,9,11,13],[2,3,6,7,9,11,12],[2,3,7,8,12,13,14],[2,4,5,6,8,9,14],[2,4,5,7,12,13,14],[2,4,8,9,10,11,13],[2,5,9,10,11,12,14],[2,6,7,8,9,10,12],[3,4,5,8,10,12,13],[3,4,6,9,11,13,14],[3,4,7,8,10,11,14],[3,5,6,7,9,10,13],[3,5,6,8,11,12,13],[4,5,6,7,10,11,14]]; G[7219]:=Group([(1,9)(3,8)(7,14)(12,13)]); # Design 7220: autom. group order 2, simple, residual B[7220]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,11],[1,2,6,9,11,12,13],[1,3,5,9,10,12,14],[1,3,7,9,11,13,14],[1,4,6,7,10,12,13],[1,4,6,8,11,12,14],[1,4,7,8,9,12,14],[1,5,6,8,9,11,13],[1,5,7,8,10,13,14],[2,3,6,7,8,11,14],[2,3,7,8,9,12,13],[2,4,5,6,9,13,14],[2,4,5,7,12,13,14],[2,4,8,10,11,13,14],[2,5,9,10,11,12,14],[2,6,7,8,9,10,12],[3,4,5,8,11,12,13],[3,4,6,8,9,10,14],[3,4,7,9,10,11,13],[3,5,6,7,11,12,14],[3,5,6,8,10,12,13],[4,5,6,7,9,10,11]]; G[7220]:=Group([(1,14)(3,13)(7,9)(8,12)]); # Design 7221: autom. group order 2, simple, residual B[7221]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,11],[1,2,6,9,11,12,13],[1,3,5,9,11,12,14],[1,3,7,9,10,13,14],[1,4,6,7,11,12,13],[1,4,6,8,10,12,14],[1,4,7,8,9,12,14],[1,5,6,8,9,10,13],[1,5,7,8,11,13,14],[2,3,6,7,8,11,14],[2,3,7,8,9,12,13],[2,4,5,6,9,13,14],[2,4,5,7,12,13,14],[2,4,8,10,11,13,14],[2,5,9,10,11,12,14],[2,6,7,8,9,10,12],[3,4,5,8,10,12,13],[3,4,6,8,9,11,14],[3,4,7,9,10,11,13],[3,5,6,7,10,12,14],[3,5,6,8,11,12,13],[4,5,6,7,9,10,11]]; G[7221]:=Group([(1,14)(3,13)(7,9)(8,12)]); # Design 7222: autom. group order 2, simple, residual B[7222]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,11],[1,2,6,8,9,11,13],[1,3,5,9,10,12,14],[1,3,7,9,11,13,14],[1,4,6,7,10,12,13],[1,4,6,8,11,12,14],[1,4,7,8,9,12,14],[1,5,6,9,11,12,13],[1,5,7,8,10,13,14],[2,3,6,7,11,12,14],[2,3,7,8,9,12,13],[2,4,5,6,9,13,14],[2,4,5,7,12,13,14],[2,4,8,10,11,13,14],[2,5,9,10,11,12,14],[2,6,7,8,9,10,12],[3,4,5,8,11,12,13],[3,4,6,8,9,10,14],[3,4,7,9,10,11,13],[3,5,6,7,8,11,14],[3,5,6,8,10,12,13],[4,5,6,7,9,10,11]]; G[7222]:=Group([(1,14)(3,13)(7,9)(8,12)]); # Design 7223: autom. group order 2, simple, residual B[7223]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,11],[1,2,6,8,9,11,13],[1,3,5,9,11,12,14],[1,3,7,9,10,13,14],[1,4,6,7,11,12,13],[1,4,6,8,10,12,14],[1,4,7,8,9,12,14],[1,5,6,9,10,12,13],[1,5,7,8,11,13,14],[2,3,6,7,11,12,14],[2,3,7,8,9,12,13],[2,4,5,6,9,13,14],[2,4,5,7,12,13,14],[2,4,8,10,11,13,14],[2,5,9,10,11,12,14],[2,6,7,8,9,10,12],[3,4,5,8,10,12,13],[3,4,6,8,9,11,14],[3,4,7,9,10,11,13],[3,5,6,7,8,10,14],[3,5,6,8,11,12,13],[4,5,6,7,9,10,11]]; G[7223]:=Group([(1,14)(3,13)(7,9)(8,12)]); # Design 7224: autom. group order 2, simple B[7224]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,6,8,11,12,14],[1,3,5,9,10,11,13],[1,3,7,8,9,11,14],[1,4,6,7,8,10,13],[1,4,6,8,9,12,13],[1,4,7,9,10,12,14],[1,5,6,9,10,12,14],[1,5,7,8,11,13,14],[2,3,6,7,9,13,14],[2,3,7,8,10,12,14],[2,4,5,6,9,11,14],[2,4,5,8,12,13,14],[2,4,7,8,9,10,11],[2,5,7,9,10,12,13],[2,6,8,9,10,11,13],[3,4,5,8,10,13,14],[3,4,6,7,11,12,13],[3,4,9,11,12,13,14],[3,5,6,7,8,9,12],[3,5,6,8,10,11,12],[4,5,6,7,10,11,14]]; G[7224]:=Group([(1,11)(2,12)(5,13)(8,14)]); # Design 7225: autom. group order 2, simple B[7225]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,12,13,14],[1,3,5,9,10,11,13],[1,3,7,8,9,12,13],[1,4,6,7,8,10,11],[1,4,6,8,9,11,14],[1,4,7,9,10,12,14],[1,5,6,9,10,12,14],[1,5,7,8,11,12,13],[2,3,6,7,9,11,12],[2,3,7,8,10,12,14],[2,4,5,6,9,12,13],[2,4,5,8,11,12,14],[2,4,7,8,9,10,13],[2,5,7,9,10,11,14],[2,6,8,9,10,11,13],[3,4,5,8,10,13,14],[3,4,6,7,11,13,14],[3,4,9,11,12,13,14],[3,5,6,7,8,9,14],[3,5,6,8,10,11,12],[4,5,6,7,10,12,13]]; G[7225]:=Group([(1,13)(2,14)(5,11)(8,12)]); # Design 7226: autom. group order 2, simple, residual B[7226]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,9,10,11,14],[1,3,5,8,10,12,13],[1,3,7,9,10,12,14],[1,4,6,7,8,9,13],[1,4,6,9,11,12,13],[1,4,7,8,11,12,14],[1,5,6,8,11,12,14],[1,5,7,9,10,13,14],[2,3,6,7,12,13,14],[2,3,7,8,9,11,14],[2,4,5,6,10,12,14],[2,4,5,9,11,13,14],[2,4,7,8,9,10,12],[2,5,7,8,11,12,13],[2,6,8,9,10,12,13],[3,4,5,9,12,13,14],[3,4,6,7,10,11,13],[3,4,8,10,11,13,14],[3,5,6,7,9,11,12],[3,5,6,8,9,10,11],[4,5,6,7,8,10,14]]; G[7226]:=Group([(1,10)(2,11)(5,13)(9,14)]); # Design 7227: autom. group order 2, simple B[7227]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,6,9,11,13,14],[1,3,5,8,10,12,13],[1,3,7,9,11,12,13],[1,4,6,7,8,9,10],[1,4,6,9,10,12,14],[1,4,7,8,11,12,14],[1,5,6,8,11,12,14],[1,5,7,9,10,11,13],[2,3,6,7,10,11,12],[2,3,7,8,9,11,14],[2,4,5,6,11,12,13],[2,4,5,9,10,11,14],[2,4,7,8,9,12,13],[2,5,7,8,10,12,14],[2,6,8,9,10,12,13],[3,4,5,9,12,13,14],[3,4,6,7,10,13,14],[3,4,8,10,11,13,14],[3,5,6,7,9,12,14],[3,5,6,8,9,10,11],[4,5,6,7,8,11,13]]; G[7227]:=Group([(1,13)(2,14)(5,10)(9,11)]); # Design 7228: autom. group order 2, simple B[7228]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,11,13,14],[1,3,5,9,12,13,14],[1,3,7,8,9,12,14],[1,4,6,7,8,10,13],[1,4,6,9,11,12,13],[1,4,7,8,9,10,14],[1,5,6,8,10,11,12],[1,5,7,10,11,12,14],[2,3,6,7,9,10,12],[2,3,7,8,11,12,13],[2,4,5,6,8,12,14],[2,4,5,9,10,11,14],[2,4,7,10,12,13,14],[2,5,8,9,10,12,13],[2,6,7,8,9,11,14],[3,4,5,7,11,13,14],[3,4,6,8,11,12,14],[3,4,8,9,10,11,13],[3,5,6,7,9,10,11],[3,5,6,8,10,13,14],[4,5,6,7,9,12,13]]; G[7228]:=Group([(2,11)(3,12)(4,10)(7,8)(9,14)]); # Design 7229: autom. group order 2, simple, residual B[7229]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,11],[1,2,6,9,11,12,13],[1,3,5,9,10,12,14],[1,3,7,8,12,13,14],[1,4,6,7,8,10,13],[1,4,6,8,9,11,14],[1,4,7,9,11,12,14],[1,5,6,8,11,12,13],[1,5,7,9,10,13,14],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,12,13,14],[2,4,5,8,9,13,14],[2,4,7,10,11,13,14],[2,5,8,10,11,12,14],[2,6,7,8,9,10,12],[3,4,5,7,11,12,13],[3,4,6,8,10,12,14],[3,4,8,9,10,11,13],[3,5,6,7,8,11,14],[3,5,6,9,10,11,13],[4,5,6,7,9,10,12]]; G[7229]:=Group([(1,14)(3,13)(7,12)]); # Design 7230: autom. group order 2, simple, residual B[7230]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,6,9,11,12,14],[1,3,5,11,12,13,14],[1,3,7,9,10,11,13],[1,4,6,7,9,12,13],[1,4,6,8,11,13,14],[1,4,8,9,10,12,14],[1,5,6,7,8,11,12],[1,5,7,8,9,10,14],[2,3,6,7,9,12,14],[2,3,8,9,11,13,14],[2,4,5,6,10,11,14],[2,4,5,8,9,12,13],[2,4,7,10,12,13,14],[2,5,7,8,11,12,13],[2,6,7,8,9,10,11],[3,4,5,7,9,11,14],[3,4,6,7,8,13,14],[3,4,7,8,10,11,12],[3,5,6,8,10,12,14],[3,5,6,9,10,12,13],[4,5,6,9,10,11,13]]; G[7230]:=Group([(1,7)(2,8)(3,11)(4,12)(9,13)]); # Design 7231: autom. group order 2, simple B[7231]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,6,9,11,13,14],[1,3,5,8,11,12,14],[1,3,7,9,11,12,13],[1,4,6,7,9,10,11],[1,4,6,8,9,12,14],[1,4,8,10,12,13,14],[1,5,6,7,8,11,14],[1,5,7,9,10,12,13],[2,3,6,9,12,13,14],[2,3,7,8,9,10,14],[2,4,5,6,11,12,13],[2,4,5,7,9,12,14],[2,4,7,8,11,13,14],[2,5,8,9,10,11,12],[2,6,7,8,10,11,12],[3,4,5,10,11,13,14],[3,4,6,7,10,12,14],[3,4,7,8,9,11,13],[3,5,6,7,8,12,13],[3,5,6,9,10,11,14],[4,5,6,8,9,10,13]]; G[7231]:=Group([(1,11)(3,12)(4,10)(5,8)]); # Design 7232: autom. group order 2, simple B[7232]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,10,11,13],[1,2,6,8,11,13,14],[1,3,5,9,10,12,14],[1,3,7,8,9,11,14],[1,4,6,8,10,12,14],[1,4,6,9,11,12,13],[1,4,7,9,12,13,14],[1,5,6,7,8,11,12],[1,5,7,8,9,10,13],[2,3,6,7,9,11,12],[2,3,7,8,12,13,14],[2,4,5,6,8,9,14],[2,4,5,7,12,13,14],[2,4,8,9,10,11,13],[2,5,9,10,11,12,14],[2,6,7,8,9,10,12],[3,4,5,8,11,12,13],[3,4,6,7,9,10,13],[3,4,7,8,10,11,14],[3,5,6,8,10,12,13],[3,5,6,9,11,13,14],[4,5,6,7,10,11,14]]; G[7232]:=Group([(1,9)(3,8)(7,14)(12,13)]); # Design 7233: autom. group order 2, simple B[7233]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,10,11,13],[1,2,6,8,11,12,14],[1,3,5,9,11,12,14],[1,3,7,8,9,10,14],[1,4,6,8,11,13,14],[1,4,6,9,10,12,13],[1,4,7,9,12,13,14],[1,5,6,7,8,10,12],[1,5,7,8,9,11,13],[2,3,6,7,9,11,13],[2,3,7,8,12,13,14],[2,4,5,6,8,9,14],[2,4,5,7,12,13,14],[2,4,8,9,10,11,13],[2,5,9,10,11,12,14],[2,6,7,8,9,10,12],[3,4,5,8,10,12,13],[3,4,6,7,9,11,12],[3,4,7,8,10,11,14],[3,5,6,8,11,12,13],[3,5,6,9,10,13,14],[4,5,6,7,10,11,14]]; G[7233]:=Group([(1,9)(3,8)(7,14)(12,13)]); # Design 7234: autom. group order 2, simple B[7234]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,10,11,13],[1,2,6,8,11,13,14],[1,3,5,9,11,12,14],[1,3,7,8,9,10,14],[1,4,6,8,11,12,14],[1,4,6,9,10,12,13],[1,4,7,9,12,13,14],[1,5,6,7,8,10,12],[1,5,7,8,9,11,13],[2,3,6,7,9,11,12],[2,3,7,8,12,13,14],[2,4,5,6,8,9,14],[2,4,5,7,12,13,14],[2,4,8,9,10,11,13],[2,5,9,10,11,12,14],[2,6,7,8,9,10,12],[3,4,5,8,10,12,13],[3,4,6,7,9,11,13],[3,4,7,8,10,11,14],[3,5,6,8,11,12,13],[3,5,6,9,10,13,14],[4,5,6,7,10,11,14]]; G[7234]:=Group([(1,9)(3,8)(7,14)(12,13)]); # Design 7235: autom. group order 2, simple, residual B[7235]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,11],[1,2,6,9,11,12,13],[1,3,5,9,11,12,14],[1,3,7,9,10,13,14],[1,4,6,8,9,11,13],[1,4,6,8,10,12,14],[1,4,7,8,9,12,14],[1,5,6,7,10,12,13],[1,5,7,8,11,13,14],[2,3,6,7,8,11,14],[2,3,7,8,9,12,13],[2,4,5,6,9,13,14],[2,4,5,7,12,13,14],[2,4,8,10,11,13,14],[2,5,9,10,11,12,14],[2,6,7,8,9,10,12],[3,4,5,8,10,12,13],[3,4,6,7,11,12,14],[3,4,7,9,10,11,13],[3,5,6,8,9,10,14],[3,5,6,8,11,12,13],[4,5,6,7,9,10,11]]; G[7235]:=Group([(1,14)(3,13)(7,9)(8,12)]); # Design 7236: autom. group order 2, simple, residual B[7236]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,11],[1,2,6,8,9,11,13],[1,3,5,9,10,12,14],[1,3,7,9,11,13,14],[1,4,6,8,11,12,14],[1,4,6,9,10,12,13],[1,4,7,8,9,12,14],[1,5,6,7,11,12,13],[1,5,7,8,10,13,14],[2,3,6,7,11,12,14],[2,3,7,8,9,12,13],[2,4,5,6,9,13,14],[2,4,5,7,12,13,14],[2,4,8,10,11,13,14],[2,5,9,10,11,12,14],[2,6,7,8,9,10,12],[3,4,5,8,11,12,13],[3,4,6,7,8,10,14],[3,4,7,9,10,11,13],[3,5,6,8,9,11,14],[3,5,6,8,10,12,13],[4,5,6,7,9,10,11]]; G[7236]:=Group([(1,14)(3,13)(7,9)(8,12)]); # Design 7237: autom. group order 2, simple, residual B[7237]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,11],[1,2,6,8,9,11,13],[1,3,5,9,11,12,14],[1,3,7,9,10,13,14],[1,4,6,8,10,12,14],[1,4,6,9,11,12,13],[1,4,7,8,9,12,14],[1,5,6,7,10,12,13],[1,5,7,8,11,13,14],[2,3,6,7,11,12,14],[2,3,7,8,9,12,13],[2,4,5,6,9,13,14],[2,4,5,7,12,13,14],[2,4,8,10,11,13,14],[2,5,9,10,11,12,14],[2,6,7,8,9,10,12],[3,4,5,8,10,12,13],[3,4,6,7,8,11,14],[3,4,7,9,10,11,13],[3,5,6,8,9,10,14],[3,5,6,8,11,12,13],[4,5,6,7,9,10,11]]; G[7237]:=Group([(1,14)(3,13)(7,9)(8,12)]); # Design 7238: autom. group order 2, simple, residual B[7238]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,11],[1,2,6,9,11,12,13],[1,3,5,9,10,12,14],[1,3,7,8,12,13,14],[1,4,6,8,9,11,14],[1,4,6,8,10,12,13],[1,4,7,9,11,12,14],[1,5,6,7,8,11,13],[1,5,7,9,10,13,14],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,12,13,14],[2,4,5,8,9,13,14],[2,4,7,10,11,13,14],[2,5,8,10,11,12,14],[2,6,7,8,9,10,12],[3,4,5,7,11,12,13],[3,4,6,7,8,10,14],[3,4,8,9,10,11,13],[3,5,6,8,11,12,14],[3,5,6,9,10,11,13],[4,5,6,7,9,10,12]]; G[7238]:=Group([(1,14)(3,13)(7,12)]); # Design 7239: autom. group order 2, simple B[7239]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,10,11,12,13],[1,2,6,7,8,11,14],[1,3,5,7,9,11,14],[1,3,7,8,9,10,13],[1,4,6,7,8,11,12],[1,4,6,9,10,12,14],[1,4,7,9,12,13,14],[1,5,6,8,10,13,14],[1,5,8,9,11,12,13],[2,3,6,9,11,12,13],[2,3,7,8,12,13,14],[2,4,5,6,8,9,13],[2,4,5,7,12,13,14],[2,4,8,9,10,11,14],[2,5,7,9,10,11,14],[2,6,7,8,9,10,12],[3,4,5,8,10,12,14],[3,4,6,9,11,13,14],[3,4,7,8,10,11,13],[3,5,6,7,9,10,12],[3,5,6,8,11,12,14],[4,5,6,7,10,11,13]]; G[7239]:=Group([(1,9)(3,8)(7,13)(12,14)]); # Design 7240: autom. group order 2, simple, residual B[7240]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,12],[1,2,6,7,9,11,13],[1,3,5,7,9,10,14],[1,3,7,8,11,13,14],[1,4,6,7,10,12,13],[1,4,6,9,11,12,14],[1,4,7,8,9,12,14],[1,5,6,8,9,11,13],[1,5,8,10,12,13,14],[2,3,6,8,11,12,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,5,7,12,13,14],[2,4,9,10,11,13,14],[2,5,7,9,10,11,14],[2,6,7,8,9,10,12],[3,4,5,9,11,12,13],[3,4,6,8,9,10,14],[3,4,7,8,10,11,13],[3,5,6,7,11,12,14],[3,5,6,9,10,12,13],[4,5,6,7,8,10,11]]; G[7240]:=Group([(1,14)(3,13)(7,8)(9,12)]); # Design 7241: autom. group order 2, simple, residual B[7241]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,12],[1,2,6,7,9,11,13],[1,3,5,7,9,11,14],[1,3,7,8,10,13,14],[1,4,6,7,11,12,13],[1,4,6,9,10,12,14],[1,4,7,8,9,12,14],[1,5,6,8,9,10,13],[1,5,8,11,12,13,14],[2,3,6,8,11,12,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,5,7,12,13,14],[2,4,9,10,11,13,14],[2,5,7,9,10,11,14],[2,6,7,8,9,10,12],[3,4,5,9,10,12,13],[3,4,6,8,9,11,14],[3,4,7,8,10,11,13],[3,5,6,7,10,12,14],[3,5,6,9,11,12,13],[4,5,6,7,8,10,11]]; G[7241]:=Group([(1,14)(3,13)(7,8)(9,12)]); # Design 7242: autom. group order 2, simple, residual B[7242]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,12],[1,2,6,7,11,12,13],[1,3,5,7,9,10,14],[1,3,7,8,11,13,14],[1,4,6,7,9,10,13],[1,4,6,9,11,12,14],[1,4,7,8,9,12,14],[1,5,6,8,9,11,13],[1,5,8,10,12,13,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,5,7,12,13,14],[2,4,9,10,11,13,14],[2,5,7,9,10,11,14],[2,6,7,8,9,10,12],[3,4,5,9,11,12,13],[3,4,6,8,10,12,14],[3,4,7,8,10,11,13],[3,5,6,7,11,12,14],[3,5,6,9,10,12,13],[4,5,6,7,8,10,11]]; G[7242]:=Group([(1,14)(3,13)(7,8)(9,12)]); # Design 7243: autom. group order 2, simple, residual B[7243]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,12],[1,2,6,7,11,12,13],[1,3,5,7,9,11,14],[1,3,7,8,10,13,14],[1,4,6,7,9,11,13],[1,4,6,9,10,12,14],[1,4,7,8,9,12,14],[1,5,6,8,9,10,13],[1,5,8,11,12,13,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,5,7,12,13,14],[2,4,9,10,11,13,14],[2,5,7,9,10,11,14],[2,6,7,8,9,10,12],[3,4,5,9,10,12,13],[3,4,6,8,11,12,14],[3,4,7,8,10,11,13],[3,5,6,7,10,12,14],[3,5,6,9,11,12,13],[4,5,6,7,8,10,11]]; G[7243]:=Group([(1,14)(3,13)(7,8)(9,12)]); # Design 7244: autom. group order 2, simple, residual B[7244]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,12],[1,2,6,7,9,11,13],[1,3,5,7,9,10,14],[1,3,7,8,12,13,14],[1,4,6,7,8,10,13],[1,4,6,8,9,11,14],[1,4,7,9,11,12,14],[1,5,6,8,11,12,13],[1,5,9,10,12,13,14],[2,3,6,9,11,12,14],[2,3,7,8,9,12,13],[2,4,5,6,12,13,14],[2,4,5,8,9,13,14],[2,4,7,10,11,13,14],[2,5,7,8,10,11,14],[2,6,7,8,9,10,12],[3,4,5,7,11,12,13],[3,4,6,8,10,12,14],[3,4,8,9,10,11,13],[3,5,6,7,8,11,14],[3,5,6,9,10,11,13],[4,5,6,7,9,10,12]]; G[7244]:=Group([(1,14)(3,13)(7,12)]); # Design 7245: autom. group order 2, simple, residual B[7245]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,7,8,10,14],[1,3,5,7,8,12,14],[1,3,7,9,11,13,14],[1,4,6,7,9,11,12],[1,4,6,8,9,12,13],[1,4,7,9,10,13,14],[1,5,6,10,11,12,13],[1,5,8,10,11,12,14],[2,3,6,9,11,12,14],[2,3,8,9,10,12,13],[2,4,5,6,11,13,14],[2,4,5,7,10,12,13],[2,4,7,8,11,12,14],[2,5,7,9,12,13,14],[2,6,7,8,9,10,11],[3,4,5,9,10,11,14],[3,4,6,8,12,13,14],[3,4,7,8,10,11,13],[3,5,6,7,8,11,13],[3,5,6,7,9,10,12],[4,5,6,8,9,10,14]]; G[7245]:=Group([(2,12)(3,11)(4,10)(7,13)(9,14)]); # Design 7246: autom. group order 2, simple, residual B[7246]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,9,11,12],[1,3,5,7,8,11,14],[1,3,7,9,10,12,14],[1,4,6,7,11,13,14],[1,4,6,8,9,10,13],[1,4,8,9,10,11,14],[1,5,6,8,12,13,14],[1,5,7,9,10,12,13],[2,3,6,7,8,10,13],[2,3,8,9,12,13,14],[2,4,5,6,9,12,14],[2,4,5,10,11,13,14],[2,4,7,8,10,12,14],[2,5,7,9,10,11,13],[2,6,7,8,9,11,14],[3,4,5,7,9,13,14],[3,4,6,9,11,12,13],[3,4,7,8,11,12,13],[3,5,6,8,9,10,11],[3,5,6,10,11,12,14],[4,5,6,7,8,10,12]]; G[7246]:=Group([(1,12)(2,11)(5,13)(7,9)]); # Design 7247: autom. group order 2, simple, residual B[7247]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,12,14],[1,2,6,7,9,11,14],[1,3,5,7,9,12,14],[1,3,7,8,11,13,14],[1,4,6,7,8,10,13],[1,4,6,9,10,12,14],[1,4,8,9,11,12,13],[1,5,6,11,12,13,14],[1,5,7,8,9,10,13],[2,3,6,8,9,12,13],[2,3,7,9,10,13,14],[2,4,5,6,8,13,14],[2,4,5,9,11,13,14],[2,4,7,10,12,13,14],[2,5,7,8,10,11,12],[2,6,7,8,9,11,12],[3,4,5,7,11,12,13],[3,4,6,7,8,12,14],[3,4,8,9,10,11,14],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13],[4,5,6,7,9,10,11]]; G[7247]:=Group([(1,14)(3,13)(6,9)(7,11)]); # Design 7248: autom. group order 2, simple, residual B[7248]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,12,14],[1,2,6,7,9,11,14],[1,3,5,7,9,12,14],[1,3,7,8,11,13,14],[1,4,6,7,8,12,13],[1,4,6,9,10,12,14],[1,4,8,9,10,11,13],[1,5,6,11,12,13,14],[1,5,7,8,9,10,13],[2,3,6,8,9,12,13],[2,3,7,9,10,13,14],[2,4,5,6,8,13,14],[2,4,5,9,11,13,14],[2,4,7,10,12,13,14],[2,5,7,8,10,11,12],[2,6,7,8,9,11,12],[3,4,5,7,11,12,13],[3,4,6,7,8,10,14],[3,4,8,9,11,12,14],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13],[4,5,6,7,9,10,11]]; G[7248]:=Group([(1,14)(3,13)(6,9)(7,11)]); # Design 7249: autom. group order 2, simple, residual B[7249]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,8,12,13],[1,3,5,7,9,11,14],[1,3,7,9,10,13,14],[1,4,6,8,9,10,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,13],[1,5,6,7,8,10,12],[1,5,8,9,10,11,12],[2,3,6,9,10,11,12],[2,3,7,8,9,12,13],[2,4,5,6,9,11,13],[2,4,5,7,10,12,14],[2,4,7,8,10,11,14],[2,5,9,10,12,13,14],[2,6,7,8,9,11,14],[3,4,5,8,12,13,14],[3,4,6,8,9,12,14],[3,4,7,8,10,11,13],[3,5,6,7,11,12,14],[3,5,6,8,10,11,13],[4,5,6,7,9,10,13]]; G[7249]:=Group([(2,11)(3,12)(5,13)(6,9)(8,14)]); # Design 7250: autom. group order 2, simple, residual B[7250]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,8,12,13],[1,3,5,7,9,11,14],[1,3,7,9,10,13,14],[1,4,6,8,9,10,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,13],[1,5,6,7,8,10,12],[1,5,8,9,10,11,12],[2,3,6,9,10,11,12],[2,3,7,8,9,12,13],[2,4,5,6,9,12,14],[2,4,5,7,10,11,13],[2,4,7,8,10,11,14],[2,5,9,10,12,13,14],[2,6,7,8,9,11,14],[3,4,5,8,12,13,14],[3,4,6,8,9,11,13],[3,4,7,8,10,12,14],[3,5,6,7,11,12,14],[3,5,6,8,10,11,13],[4,5,6,7,9,10,13]]; G[7250]:=Group([(2,11)(3,12)(5,13)(6,9)(8,14)]); # Design 7251: autom. group order 2, simple, residual B[7251]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,8,12,13],[1,3,5,7,9,11,14],[1,3,7,9,10,13,14],[1,4,6,8,9,10,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,13],[1,5,6,7,8,10,12],[1,5,8,9,10,11,12],[2,3,6,9,10,11,12],[2,3,7,8,11,12,14],[2,4,5,6,9,11,13],[2,4,5,7,10,12,14],[2,4,7,8,9,10,13],[2,5,9,10,12,13,14],[2,6,7,8,9,11,14],[3,4,5,8,12,13,14],[3,4,6,8,9,12,14],[3,4,7,8,10,11,13],[3,5,6,7,9,12,13],[3,5,6,8,10,11,13],[4,5,6,7,10,11,14]]; G[7251]:=Group([(2,11)(3,12)(5,13)(6,9)(8,14)]); # Design 7252: autom. group order 2, simple B[7252]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,8,12,13],[1,3,5,7,9,11,14],[1,3,7,9,10,13,14],[1,4,6,8,9,10,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,13],[1,5,6,7,8,10,12],[1,5,8,9,10,11,12],[2,3,6,9,10,11,12],[2,3,7,8,11,12,14],[2,4,5,6,9,12,14],[2,4,5,7,10,11,13],[2,4,7,8,9,10,13],[2,5,9,10,12,13,14],[2,6,7,8,9,11,14],[3,4,5,8,12,13,14],[3,4,6,8,9,11,13],[3,4,7,8,10,12,14],[3,5,6,7,9,12,13],[3,5,6,8,10,11,13],[4,5,6,7,10,11,14]]; G[7252]:=Group([(2,11)(3,12)(5,13)(6,9)(8,14)]); # Design 7253: autom. group order 2, simple B[7253]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,8,12,13],[1,3,5,7,9,11,14],[1,3,7,8,10,12,14],[1,4,6,8,9,10,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,13],[1,5,6,7,9,10,13],[1,5,8,9,10,11,12],[2,3,6,9,10,11,12],[2,3,7,8,9,12,13],[2,4,5,6,9,12,14],[2,4,5,7,10,11,13],[2,4,7,8,10,11,14],[2,5,9,10,12,13,14],[2,6,7,8,9,11,14],[3,4,5,8,12,13,14],[3,4,6,8,9,11,13],[3,4,7,9,10,13,14],[3,5,6,7,11,12,14],[3,5,6,8,10,11,13],[4,5,6,7,8,10,12]]; G[7253]:=Group([(2,11)(3,12)(5,13)(6,9)(8,14)]); # Design 7254: autom. group order 2, simple B[7254]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,10,11,12,13],[1,2,6,7,8,11,14],[1,3,5,7,9,11,14],[1,3,7,8,9,10,13],[1,4,6,8,11,13,14],[1,4,6,9,10,12,14],[1,4,7,9,12,13,14],[1,5,6,7,8,10,12],[1,5,8,9,11,12,13],[2,3,6,9,11,12,13],[2,3,7,8,12,13,14],[2,4,5,6,8,9,13],[2,4,5,7,12,13,14],[2,4,8,9,10,11,14],[2,5,7,9,10,11,14],[2,6,7,8,9,10,12],[3,4,5,8,10,12,14],[3,4,6,7,9,11,12],[3,4,7,8,10,11,13],[3,5,6,8,11,12,14],[3,5,6,9,10,13,14],[4,5,6,7,10,11,13]]; G[7254]:=Group([(1,9)(3,8)(7,13)(12,14)]); # Design 7255: autom. group order 2, simple, residual B[7255]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,12],[1,2,6,7,11,12,13],[1,3,5,7,9,10,14],[1,3,7,8,11,13,14],[1,4,6,8,9,10,13],[1,4,6,9,11,12,14],[1,4,7,8,9,12,14],[1,5,6,7,9,11,13],[1,5,8,10,12,13,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,5,7,12,13,14],[2,4,9,10,11,13,14],[2,5,7,9,10,11,14],[2,6,7,8,9,10,12],[3,4,5,9,11,12,13],[3,4,6,7,10,12,14],[3,4,7,8,10,11,13],[3,5,6,8,11,12,14],[3,5,6,9,10,12,13],[4,5,6,7,8,10,11]]; G[7255]:=Group([(1,14)(3,13)(7,8)(9,12)]); # Design 7256: autom. group order 2, simple, residual B[7256]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,12],[1,2,6,7,11,12,13],[1,3,5,7,9,11,14],[1,3,7,8,10,13,14],[1,4,6,8,9,11,13],[1,4,6,9,10,12,14],[1,4,7,8,9,12,14],[1,5,6,7,9,10,13],[1,5,8,11,12,13,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,5,7,12,13,14],[2,4,9,10,11,13,14],[2,5,7,9,10,11,14],[2,6,7,8,9,10,12],[3,4,5,9,10,12,13],[3,4,6,7,11,12,14],[3,4,7,8,10,11,13],[3,5,6,8,10,12,14],[3,5,6,9,11,12,13],[4,5,6,7,8,10,11]]; G[7256]:=Group([(1,14)(3,13)(7,8)(9,12)]); # Design 7257: autom. group order 2, simple, residual B[7257]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,12],[1,2,6,7,9,11,13],[1,3,5,7,9,10,14],[1,3,7,8,12,13,14],[1,4,6,8,9,11,14],[1,4,6,8,10,12,13],[1,4,7,9,11,12,14],[1,5,6,7,8,11,13],[1,5,9,10,12,13,14],[2,3,6,9,11,12,14],[2,3,7,8,9,12,13],[2,4,5,6,12,13,14],[2,4,5,8,9,13,14],[2,4,7,10,11,13,14],[2,5,7,8,10,11,14],[2,6,7,8,9,10,12],[3,4,5,7,11,12,13],[3,4,6,7,8,10,14],[3,4,8,9,10,11,13],[3,5,6,8,11,12,14],[3,5,6,9,10,11,13],[4,5,6,7,9,10,12]]; G[7257]:=Group([(1,14)(3,13)(7,12)]); # Design 7258: autom. group order 2, simple B[7258]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,7,8,12,13],[1,3,5,7,12,13,14],[1,3,7,8,9,11,14],[1,4,6,9,10,13,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,14],[1,5,6,8,10,11,12],[1,5,7,10,11,12,14],[2,3,6,9,11,12,14],[2,3,8,10,11,13,14],[2,4,5,6,7,11,14],[2,4,5,9,10,12,14],[2,4,7,8,10,12,13],[2,5,7,9,10,11,13],[2,6,7,8,9,12,14],[3,4,5,8,12,13,14],[3,4,6,7,8,10,11],[3,4,7,9,11,12,13],[3,5,6,7,9,10,13],[3,5,6,8,9,10,12],[4,5,6,8,11,13,14]]; G[7258]:=Group([(2,12)(3,11)(4,10)(7,8)(9,14)]); # Design 7259: autom. group order 2, simple B[7259]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,7,8,12,13],[1,3,5,7,12,13,14],[1,3,7,8,9,11,14],[1,4,6,9,10,13,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,14],[1,5,6,8,10,11,12],[1,5,7,10,11,12,14],[2,3,6,8,10,11,14],[2,3,9,11,12,13,14],[2,4,5,6,7,11,14],[2,4,5,9,10,12,14],[2,4,7,8,10,12,13],[2,5,7,9,10,11,13],[2,6,7,8,9,12,14],[3,4,5,8,12,13,14],[3,4,6,7,9,11,12],[3,4,7,8,10,11,13],[3,5,6,7,9,10,13],[3,5,6,8,9,10,12],[4,5,6,8,11,13,14]]; G[7259]:=Group([(2,12)(3,11)(4,10)(7,8)(9,14)]); # Design 7260: autom. group order 2, simple, residual B[7260]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,9,13,14],[1,3,5,7,12,13,14],[1,3,8,9,11,12,13],[1,4,6,7,8,10,11],[1,4,6,9,10,12,13],[1,4,7,8,9,12,14],[1,5,6,8,9,11,14],[1,5,7,10,11,12,14],[2,3,6,7,9,11,12],[2,3,8,9,10,12,14],[2,4,5,6,8,12,14],[2,4,5,11,12,13,14],[2,4,7,9,10,11,14],[2,5,7,8,9,10,13],[2,6,7,8,11,12,13],[3,4,5,7,9,11,13],[3,4,6,8,11,13,14],[3,4,7,8,10,13,14],[3,5,6,7,8,10,12],[3,5,6,9,10,11,14],[4,5,6,9,10,12,13]]; G[7260]:=Group([(2,14)(3,7)(4,12)(6,13)(8,11)(9,10)]); # Design 7261: autom. group order 2, simple, residual B[7261]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,9,11,14],[1,3,5,7,12,13,14],[1,3,8,9,10,13,14],[1,4,6,7,8,9,14],[1,4,6,8,11,12,13],[1,4,9,11,12,13,14],[1,5,6,7,8,10,12],[1,5,7,9,10,11,12],[2,3,6,8,9,11,12],[2,3,7,8,11,12,14],[2,4,5,6,12,13,14],[2,4,5,9,10,12,14],[2,4,7,8,9,10,13],[2,5,7,8,11,13,14],[2,6,7,9,10,12,13],[3,4,5,7,9,11,13],[3,4,6,7,10,11,13],[3,4,7,8,10,12,14],[3,5,6,8,9,12,13],[3,5,6,9,10,11,14],[4,5,6,8,10,11,14]]; G[7261]:=Group([(2,11)(3,12)(5,13)(6,9)(7,14)]); # Design 7262: autom. group order 2, simple, residual B[7262]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,9,11,12],[1,3,5,8,9,11,14],[1,3,7,9,10,12,14],[1,4,6,7,8,10,13],[1,4,6,9,11,13,14],[1,4,7,8,10,11,14],[1,5,6,8,12,13,14],[1,5,7,9,10,12,13],[2,3,6,8,9,10,13],[2,3,7,8,12,13,14],[2,4,5,6,7,12,14],[2,4,5,10,11,13,14],[2,4,8,9,10,12,14],[2,5,7,9,10,11,13],[2,6,7,8,9,11,14],[3,4,5,7,9,13,14],[3,4,6,9,11,12,13],[3,4,7,8,11,12,13],[3,5,6,7,8,10,11],[3,5,6,10,11,12,14],[4,5,6,8,9,10,12]]; G[7262]:=Group([(1,12)(2,11)(5,13)(7,9)]); # Design 7263: autom. group order 2, simple, residual B[7263]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,13,14],[1,2,6,7,9,11,14],[1,3,5,8,11,12,14],[1,3,7,9,11,12,13],[1,4,6,7,8,12,13],[1,4,6,10,11,13,14],[1,4,8,9,10,12,14],[1,5,6,7,10,12,14],[1,5,7,8,9,11,13],[2,3,6,7,9,12,14],[2,3,7,8,10,13,14],[2,4,5,6,11,12,13],[2,4,5,9,12,13,14],[2,4,7,8,11,13,14],[2,5,7,8,10,11,12],[2,6,8,9,10,11,12],[3,4,5,7,10,11,14],[3,4,6,8,9,11,14],[3,4,7,9,10,12,13],[3,5,6,8,12,13,14],[3,5,6,9,10,11,13],[4,5,6,7,8,9,10]]; G[7263]:=Group([(1,11)(3,12)(4,10)(5,8)(7,9)]); # Design 7264: autom. group order 2, simple B[7264]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,10,11,12,13],[1,2,6,8,11,13,14],[1,3,5,7,9,10,14],[1,3,7,8,9,11,13],[1,4,6,7,8,10,14],[1,4,6,9,11,12,14],[1,4,7,9,12,13,14],[1,5,6,7,8,11,12],[1,5,8,9,10,12,13],[2,3,6,7,9,11,12],[2,3,7,8,12,13,14],[2,4,5,6,8,9,13],[2,4,5,7,12,13,14],[2,4,8,9,10,11,14],[2,5,7,9,10,11,14],[2,6,7,8,9,10,12],[3,4,5,8,11,12,14],[3,4,6,9,10,12,13],[3,4,7,8,10,11,13],[3,5,6,8,10,12,14],[3,5,6,9,11,13,14],[4,5,6,7,10,11,13]]; G[7264]:=Group([(1,9)(3,8)(7,13)(12,14)]); # Design 7265: autom. group order 2, simple B[7265]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,10,11,12,13],[1,2,6,8,11,13,14],[1,3,5,7,9,11,14],[1,3,7,8,9,10,13],[1,4,6,7,8,11,12],[1,4,6,9,10,12,14],[1,4,7,9,12,13,14],[1,5,6,7,8,10,14],[1,5,8,9,11,12,13],[2,3,6,7,9,11,12],[2,3,7,8,12,13,14],[2,4,5,6,8,9,13],[2,4,5,7,12,13,14],[2,4,8,9,10,11,14],[2,5,7,9,10,11,14],[2,6,7,8,9,10,12],[3,4,5,8,10,12,14],[3,4,6,9,11,13,14],[3,4,7,8,10,11,13],[3,5,6,8,11,12,14],[3,5,6,9,10,12,13],[4,5,6,7,10,11,13]]; G[7265]:=Group([(1,9)(3,8)(7,13)(12,14)]); # Design 7266: autom. group order 2, simple B[7266]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,10,11,12,13],[1,2,6,8,11,13,14],[1,3,5,7,9,11,14],[1,3,7,8,9,10,13],[1,4,6,7,8,11,14],[1,4,6,9,10,12,14],[1,4,7,9,12,13,14],[1,5,6,7,8,10,12],[1,5,8,9,11,12,13],[2,3,6,7,9,11,12],[2,3,7,8,12,13,14],[2,4,5,6,8,9,13],[2,4,5,7,12,13,14],[2,4,8,9,10,11,14],[2,5,7,9,10,11,14],[2,6,7,8,9,10,12],[3,4,5,8,10,12,14],[3,4,6,9,11,12,13],[3,4,7,8,10,11,13],[3,5,6,8,11,12,14],[3,5,6,9,10,13,14],[4,5,6,7,10,11,13]]; G[7266]:=Group([(1,9)(3,8)(7,13)(12,14)]); # Design 7267: autom. group order 2, simple, residual B[7267]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,12],[1,2,6,8,9,11,13],[1,3,5,7,9,10,14],[1,3,7,8,11,13,14],[1,4,6,7,10,12,13],[1,4,6,9,11,12,14],[1,4,7,8,9,12,14],[1,5,6,7,9,11,13],[1,5,8,10,12,13,14],[2,3,6,7,11,12,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,5,7,12,13,14],[2,4,9,10,11,13,14],[2,5,7,9,10,11,14],[2,6,7,8,9,10,12],[3,4,5,9,11,12,13],[3,4,6,8,9,10,14],[3,4,7,8,10,11,13],[3,5,6,8,11,12,14],[3,5,6,9,10,12,13],[4,5,6,7,8,10,11]]; G[7267]:=Group([(1,14)(3,13)(7,8)(9,12)]); # Design 7268: autom. group order 2, simple, residual B[7268]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,12],[1,2,6,8,9,11,13],[1,3,5,7,9,11,14],[1,3,7,8,10,13,14],[1,4,6,7,11,12,13],[1,4,6,9,10,12,14],[1,4,7,8,9,12,14],[1,5,6,7,9,10,13],[1,5,8,11,12,13,14],[2,3,6,7,11,12,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,5,7,12,13,14],[2,4,9,10,11,13,14],[2,5,7,9,10,11,14],[2,6,7,8,9,10,12],[3,4,5,9,10,12,13],[3,4,6,8,9,11,14],[3,4,7,8,10,11,13],[3,5,6,8,10,12,14],[3,5,6,9,11,12,13],[4,5,6,7,8,10,11]]; G[7268]:=Group([(1,14)(3,13)(7,8)(9,12)]); # Design 7269: autom. group order 2, simple, residual B[7269]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,12],[1,2,6,9,11,12,13],[1,3,5,7,9,10,14],[1,3,7,8,11,13,14],[1,4,6,7,8,10,13],[1,4,6,8,9,12,14],[1,4,7,9,11,12,14],[1,5,6,7,8,12,13],[1,5,9,10,11,13,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,6,11,13,14],[2,4,5,8,9,13,14],[2,4,7,10,12,13,14],[2,5,7,8,10,12,14],[2,6,7,8,9,10,11],[3,4,5,7,11,12,13],[3,4,6,8,10,11,14],[3,4,8,9,10,12,13],[3,5,6,8,11,12,14],[3,5,6,9,10,12,13],[4,5,6,7,9,10,11]]; G[7269]:=Group([(1,14)(3,13)(7,11)]); # Design 7270: autom. group order 2, simple, residual B[7270]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,9,10,13,14],[1,3,5,7,12,13,14],[1,3,7,8,9,11,14],[1,4,6,7,12,13,14],[1,4,6,8,11,12,13],[1,4,7,8,9,10,14],[1,5,6,9,10,11,12],[1,5,7,8,10,11,12],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,5,6,7,11,14],[2,4,5,8,10,12,14],[2,4,7,9,10,12,13],[2,5,7,8,9,12,13],[2,6,7,8,10,11,14],[3,4,5,10,11,13,14],[3,4,6,8,9,12,14],[3,4,7,9,10,11,13],[3,5,6,7,8,10,13],[3,5,6,9,10,12,14],[4,5,6,8,9,11,13]]; G[7270]:=Group([(2,12)(3,11)(4,10)(7,9)]); # Design 7271: autom. group order 2, simple, residual B[7271]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,11,12,13],[1,3,7,8,9,11,14],[1,4,6,7,8,11,14],[1,4,6,8,9,12,13],[1,4,7,9,10,13,14],[1,5,6,9,10,11,12],[1,5,7,8,10,12,14],[2,3,6,7,9,10,14],[2,3,8,9,11,12,14],[2,4,5,6,7,12,14],[2,4,5,8,11,13,14],[2,4,7,9,10,11,12],[2,5,7,8,9,10,13],[2,6,7,8,11,12,13],[3,4,5,9,12,13,14],[3,4,6,10,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,11,13],[3,5,6,8,10,12,14],[4,5,6,8,9,10,11]]; G[7271]:=Group([(2,14)(3,7)(4,8)(5,11)(6,9)]); # Design 7272: autom. group order 2, simple, residual B[7272]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,11,12,13],[1,3,7,8,9,11,14],[1,4,6,7,8,11,14],[1,4,6,8,9,12,13],[1,4,7,9,10,13,14],[1,5,6,9,10,11,12],[1,5,7,8,10,12,14],[2,3,6,7,9,10,14],[2,3,8,9,11,12,14],[2,4,5,6,7,12,14],[2,4,5,8,11,13,14],[2,4,7,9,10,11,12],[2,5,7,8,9,12,13],[2,6,7,8,10,11,13],[3,4,5,9,10,13,14],[3,4,6,11,12,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,11,13],[3,5,6,8,10,12,14],[4,5,6,8,9,10,11]]; G[7272]:=Group([(2,14)(3,7)(4,8)(5,11)(6,9)]); # Design 7273: autom. group order 2, simple, residual B[7273]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,11,12,13],[1,3,7,8,9,11,14],[1,4,6,7,8,11,14],[1,4,6,8,9,12,13],[1,4,7,9,10,13,14],[1,5,6,9,10,11,12],[1,5,7,8,10,12,14],[2,3,6,7,9,10,14],[2,3,8,9,11,12,14],[2,4,5,6,7,12,14],[2,4,5,8,11,13,14],[2,4,7,9,10,11,13],[2,5,7,8,9,12,13],[2,6,7,8,10,11,12],[3,4,5,9,10,12,14],[3,4,6,11,12,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,11,13],[3,5,6,8,10,13,14],[4,5,6,8,9,10,11]]; G[7273]:=Group([(2,14)(3,7)(4,8)(5,11)(6,9)]); # Design 7274: autom. group order 2, simple, residual B[7274]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,11,12,13],[1,3,7,8,9,11,14],[1,4,6,7,8,11,14],[1,4,6,8,9,12,13],[1,4,7,9,10,13,14],[1,5,6,9,10,11,12],[1,5,7,8,10,12,14],[2,3,6,7,9,10,14],[2,3,8,9,11,12,14],[2,4,5,6,7,12,14],[2,4,5,8,11,13,14],[2,4,7,9,11,12,13],[2,5,7,8,9,10,12],[2,6,7,8,10,11,13],[3,4,5,9,10,13,14],[3,4,6,10,11,12,14],[3,4,7,8,10,12,13],[3,5,6,7,9,11,13],[3,5,6,8,12,13,14],[4,5,6,8,9,10,11]]; G[7274]:=Group([(2,14)(3,7)(4,8)(5,11)(6,9)]); # Design 7275: autom. group order 2, simple, residual B[7275]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,11,12,13],[1,3,7,8,9,11,14],[1,4,6,7,8,11,14],[1,4,6,8,9,12,13],[1,4,7,9,10,13,14],[1,5,6,9,10,11,12],[1,5,7,8,10,12,14],[2,3,6,7,9,10,14],[2,3,8,9,11,12,14],[2,4,5,6,7,12,14],[2,4,5,8,11,13,14],[2,4,7,9,11,12,13],[2,5,7,8,9,10,13],[2,6,7,8,10,11,12],[3,4,5,9,10,12,14],[3,4,6,10,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,11,13],[3,5,6,8,12,13,14],[4,5,6,8,9,10,11]]; G[7275]:=Group([(2,14)(3,7)(4,8)(5,11)(6,9)]); # Design 7276: autom. group order 2, simple, residual B[7276]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,11,12,13,14],[1,2,6,9,10,11,14],[1,3,5,7,11,12,13],[1,3,7,8,9,12,14],[1,4,6,7,8,12,14],[1,4,6,8,9,11,13],[1,4,7,9,10,13,14],[1,5,6,9,10,12,13],[1,5,7,8,10,11,14],[2,3,6,7,9,11,14],[2,3,8,9,12,13,14],[2,4,5,6,7,13,14],[2,4,5,8,10,12,14],[2,4,7,9,10,11,12],[2,5,7,8,9,10,13],[2,6,7,8,11,12,13],[3,4,5,9,11,13,14],[3,4,6,10,12,13,14],[3,4,7,8,10,11,13],[3,5,6,7,9,10,12],[3,5,6,8,10,11,14],[4,5,6,8,9,11,12]]; G[7276]:=Group([(2,14)(3,7)(4,8)(5,12)(6,9)]); # Design 7277: autom. group order 2, simple, residual B[7277]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,11,12,13,14],[1,2,6,9,10,11,14],[1,3,5,7,11,12,13],[1,3,7,8,9,12,14],[1,4,6,7,8,12,14],[1,4,6,8,9,11,13],[1,4,7,9,10,13,14],[1,5,6,9,10,12,13],[1,5,7,8,10,11,14],[2,3,6,7,9,11,14],[2,3,8,9,12,13,14],[2,4,5,6,7,13,14],[2,4,5,8,10,12,14],[2,4,7,9,10,11,12],[2,5,7,8,9,11,13],[2,6,7,8,10,12,13],[3,4,5,9,10,13,14],[3,4,6,11,12,13,14],[3,4,7,8,10,11,13],[3,5,6,7,9,10,12],[3,5,6,8,10,11,14],[4,5,6,8,9,11,12]]; G[7277]:=Group([(2,14)(3,7)(4,8)(5,12)(6,9)]); # Design 7278: autom. group order 2, simple, residual B[7278]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,11,12,13,14],[1,2,6,9,10,11,14],[1,3,5,7,11,12,13],[1,3,7,8,9,12,14],[1,4,6,7,8,12,14],[1,4,6,8,9,11,13],[1,4,7,9,10,13,14],[1,5,6,9,10,12,13],[1,5,7,8,10,11,14],[2,3,6,7,9,11,14],[2,3,8,9,12,13,14],[2,4,5,6,7,13,14],[2,4,5,8,10,12,14],[2,4,7,9,11,12,13],[2,5,7,8,9,10,13],[2,6,7,8,10,11,12],[3,4,5,9,10,11,14],[3,4,6,10,12,13,14],[3,4,7,8,10,11,13],[3,5,6,7,9,10,12],[3,5,6,8,11,13,14],[4,5,6,8,9,11,12]]; G[7278]:=Group([(2,14)(3,7)(4,8)(5,12)(6,9)]); # Design 7279: autom. group order 2, simple, residual B[7279]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,10,11,12,13],[1,2,6,8,9,11,13],[1,3,5,7,8,12,14],[1,3,7,9,10,11,14],[1,4,6,7,9,12,13],[1,4,6,8,10,13,14],[1,4,7,8,9,10,12],[1,5,6,8,11,12,14],[1,5,7,9,11,13,14],[2,3,6,8,9,12,14],[2,3,7,8,9,11,13],[2,4,5,6,7,11,14],[2,4,5,9,12,13,14],[2,4,7,8,10,11,14],[2,5,7,8,10,12,13],[2,6,7,9,10,12,14],[3,4,5,9,10,13,14],[3,4,6,7,11,12,13],[3,4,8,11,12,13,14],[3,5,6,7,8,10,13],[3,5,6,9,10,11,12],[4,5,6,8,9,10,11]]; G[7279]:=Group([(1,11)(2,12)(5,13)(9,14)]); # Design 7280: autom. group order 2, simple, residual B[7280]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,10,11,13,14],[1,2,6,8,9,11,13],[1,3,5,7,8,12,14],[1,3,7,9,10,12,13],[1,4,6,7,9,11,14],[1,4,6,8,10,11,12],[1,4,7,8,9,10,14],[1,5,6,8,12,13,14],[1,5,7,9,11,12,13],[2,3,6,8,9,12,14],[2,3,7,8,9,11,13],[2,4,5,6,7,12,13],[2,4,5,9,11,12,14],[2,4,7,8,10,12,13],[2,5,7,8,10,11,14],[2,6,7,9,10,12,14],[3,4,5,9,10,13,14],[3,4,6,7,11,13,14],[3,4,8,11,12,13,14],[3,5,6,7,8,10,11],[3,5,6,9,10,11,12],[4,5,6,8,9,10,13]]; G[7280]:=Group([(1,13)(2,14)(5,11)(9,12)]); # Design 7281: autom. group order 2, simple, residual B[7281]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,10,11,13,14],[1,2,6,8,11,12,13],[1,3,5,7,8,12,14],[1,3,7,9,10,12,13],[1,4,6,7,9,11,14],[1,4,6,8,9,10,11],[1,4,7,8,10,12,14],[1,5,6,8,9,13,14],[1,5,7,9,11,12,13],[2,3,6,8,9,12,14],[2,3,7,8,9,11,13],[2,4,5,6,7,12,13],[2,4,5,9,11,12,14],[2,4,7,8,9,10,13],[2,5,7,8,10,11,14],[2,6,7,9,10,12,14],[3,4,5,9,10,13,14],[3,4,6,7,11,13,14],[3,4,8,11,12,13,14],[3,5,6,7,8,10,11],[3,5,6,9,10,11,12],[4,5,6,8,10,12,13]]; G[7281]:=Group([(1,13)(2,14)(5,11)(9,12)]); # Design 7282: autom. group order 2, simple, residual B[7282]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,10,11,13,14],[1,2,6,8,10,11,12],[1,3,5,9,10,12,13],[1,3,7,8,9,11,13],[1,4,6,7,8,10,13],[1,4,6,9,12,13,14],[1,4,7,9,10,12,14],[1,5,6,8,11,12,14],[1,5,7,8,9,11,14],[2,3,6,8,9,12,14],[2,3,7,11,12,13,14],[2,4,5,7,9,11,12],[2,4,5,8,10,13,14],[2,4,6,8,9,11,13],[2,5,6,7,9,10,14],[2,7,8,9,10,12,13],[3,4,5,8,12,13,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,14],[3,5,6,7,8,10,12],[3,5,6,9,10,11,13],[4,5,6,7,11,12,13]]; G[7282]:=Group([(1,11)(2,10)(5,14)(7,9)]); # Design 7283: autom. group order 2, simple, residual B[7283]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,10,11,12,13],[1,2,6,8,10,11,14],[1,3,5,9,10,12,14],[1,3,7,8,9,11,14],[1,4,6,7,8,10,12],[1,4,6,9,12,13,14],[1,4,7,8,9,10,13],[1,5,6,8,11,13,14],[1,5,7,9,11,12,13],[2,3,6,8,9,12,13],[2,3,7,8,11,12,13],[2,4,5,7,9,11,14],[2,4,5,8,10,13,14],[2,4,6,9,11,12,14],[2,5,6,7,9,10,13],[2,7,8,9,10,12,14],[3,4,5,8,12,13,14],[3,4,6,9,10,11,13],[3,4,7,10,11,13,14],[3,5,6,7,10,12,14],[3,5,6,8,9,10,11],[4,5,6,7,8,11,12]]; G[7283]:=Group([(1,11)(2,10)(5,13)(7,9)(8,14)]); # Design 7284: autom. group order 2, simple, residual B[7284]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,12,13,14],[1,3,5,9,11,12,13],[1,3,7,8,9,11,14],[1,4,6,7,9,11,14],[1,4,6,9,10,13,14],[1,4,7,8,10,12,13],[1,5,6,8,10,11,12],[1,5,7,9,10,12,14],[2,3,6,8,9,10,14],[2,3,7,10,11,12,14],[2,4,5,7,11,13,14],[2,4,5,9,10,12,14],[2,4,6,9,11,12,13],[2,5,6,7,8,9,12],[2,7,8,9,10,11,13],[3,4,5,8,10,13,14],[3,4,6,8,11,12,14],[3,4,7,8,9,12,13],[3,5,6,7,12,13,14],[3,5,6,9,10,11,13],[4,5,6,7,8,10,11]]; G[7284]:=Group([(2,14)(3,9)(4,7)(5,11)]); # Design 7285: autom. group order 2, simple, residual B[7285]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,12,13,14],[1,3,5,9,11,12,13],[1,3,7,8,9,11,14],[1,4,6,7,9,11,14],[1,4,6,9,10,13,14],[1,4,7,8,10,12,13],[1,5,6,8,10,11,12],[1,5,7,9,10,12,14],[2,3,6,8,9,12,14],[2,3,7,10,11,12,14],[2,4,5,7,11,13,14],[2,4,5,9,10,12,14],[2,4,6,9,11,12,13],[2,5,6,7,8,9,10],[2,7,8,9,10,11,13],[3,4,5,8,10,13,14],[3,4,6,8,10,11,14],[3,4,7,8,9,12,13],[3,5,6,7,12,13,14],[3,5,6,9,10,11,13],[4,5,6,7,8,11,12]]; G[7285]:=Group([(2,14)(3,9)(4,7)(5,11)]); # Design 7286: autom. group order 2, simple, residual B[7286]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,12,13,14],[1,3,5,9,11,12,13],[1,3,7,8,9,11,14],[1,4,6,7,9,11,14],[1,4,6,9,10,13,14],[1,4,7,8,10,12,13],[1,5,6,8,10,11,12],[1,5,7,9,10,12,14],[2,3,6,8,9,10,14],[2,3,7,10,11,12,14],[2,4,5,7,11,13,14],[2,4,5,9,10,12,14],[2,4,6,8,9,11,12],[2,5,6,7,9,12,13],[2,7,8,9,10,11,13],[3,4,5,8,10,13,14],[3,4,6,11,12,13,14],[3,4,7,8,9,12,13],[3,5,6,7,8,12,14],[3,5,6,9,10,11,13],[4,5,6,7,8,10,11]]; G[7286]:=Group([(2,14)(3,9)(4,7)(5,11)]); # Design 7287: autom. group order 2, simple, residual B[7287]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,12,13,14],[1,3,5,9,11,12,13],[1,3,7,8,9,11,14],[1,4,6,7,9,11,14],[1,4,6,9,10,13,14],[1,4,7,8,10,12,13],[1,5,6,8,10,11,12],[1,5,7,9,10,12,14],[2,3,6,8,9,12,14],[2,3,7,10,11,12,14],[2,4,5,7,11,13,14],[2,4,5,9,10,12,14],[2,4,6,8,9,10,11],[2,5,6,7,9,12,13],[2,7,8,9,10,11,13],[3,4,5,8,10,13,14],[3,4,6,11,12,13,14],[3,4,7,8,9,12,13],[3,5,6,7,8,10,14],[3,5,6,9,10,11,13],[4,5,6,7,8,11,12]]; G[7287]:=Group([(2,14)(3,9)(4,7)(5,11)]); # Design 7288: autom. group order 2, simple, residual B[7288]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,10,11,12,13],[1,2,6,8,10,11,14],[1,3,5,9,10,12,14],[1,3,7,8,9,11,14],[1,4,6,8,11,12,14],[1,4,6,9,12,13,14],[1,4,7,8,9,10,13],[1,5,6,7,8,10,13],[1,5,7,9,11,12,13],[2,3,6,8,9,12,13],[2,3,7,8,11,12,13],[2,4,5,7,9,11,14],[2,4,5,8,10,13,14],[2,4,6,7,9,10,12],[2,5,6,9,11,13,14],[2,7,8,9,10,12,14],[3,4,5,8,12,13,14],[3,4,6,9,10,11,13],[3,4,7,10,11,13,14],[3,5,6,7,10,12,14],[3,5,6,8,9,10,11],[4,5,6,7,8,11,12]]; G[7288]:=Group([(1,11)(2,10)(5,13)(7,9)(8,14)]); # Design 7289: autom. group order 2, simple, residual B[7289]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,12,13],[1,2,6,9,11,13,14],[1,3,5,8,11,13,14],[1,3,7,9,10,11,14],[1,4,6,8,9,10,13],[1,4,6,8,9,12,14],[1,4,7,10,12,13,14],[1,5,6,7,11,12,14],[1,5,7,8,9,10,12],[2,3,6,8,10,12,14],[2,3,7,8,9,12,14],[2,4,5,9,10,11,14],[2,4,5,10,12,13,14],[2,4,6,7,8,11,14],[2,5,6,7,9,12,13],[2,7,8,9,10,11,13],[3,4,5,7,9,13,14],[3,4,6,9,11,12,13],[3,4,7,8,11,12,13],[3,5,6,8,10,13,14],[3,5,6,9,10,11,12],[4,5,6,7,8,10,11]]; G[7289]:=Group([(1,11)(2,12)(5,13)(7,9)]); # Design 7290: autom. group order 2, simple B[7290]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,7,9,10,14],[1,3,5,7,12,13,14],[1,3,8,9,10,13,14],[1,4,6,8,11,12,13],[1,4,6,9,12,13,14],[1,4,7,8,9,11,14],[1,5,6,9,10,11,12],[1,5,7,8,10,11,12],[2,3,6,8,11,12,14],[2,3,7,9,11,12,13],[2,4,5,8,12,13,14],[2,4,5,9,10,11,13],[2,4,6,7,10,12,14],[2,5,6,8,9,11,14],[2,7,8,9,10,12,13],[3,4,5,9,10,12,14],[3,4,6,7,9,11,13],[3,4,7,8,10,11,14],[3,5,6,7,8,9,12],[3,5,6,10,11,13,14],[4,5,6,7,8,10,13]]; G[7290]:=Group([(2,11)(3,12)(4,10)(6,8)]); # Design 7291: autom. group order 2, simple, residual B[7291]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,9,10,13,14],[1,3,5,7,12,13,14],[1,3,7,9,10,12,14],[1,4,6,7,8,9,14],[1,4,6,9,11,12,13],[1,4,7,8,11,12,13],[1,5,6,8,10,11,12],[1,5,8,9,10,11,14],[2,3,6,8,11,12,14],[2,3,7,8,9,11,13],[2,4,5,8,9,12,14],[2,4,5,10,11,13,14],[2,4,6,7,10,12,14],[2,5,6,7,9,11,12],[2,7,8,9,10,12,13],[3,4,5,9,10,12,13],[3,4,6,9,11,13,14],[3,4,7,8,10,11,14],[3,5,6,7,9,10,11],[3,5,6,8,12,13,14],[4,5,6,7,8,10,13]]; G[7291]:=Group([(2,11)(3,12)(5,13)(6,8)]); # Design 7292: autom. group order 2, simple B[7292]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,13,14],[1,2,6,8,9,11,13],[1,3,5,7,11,12,14],[1,3,8,9,10,11,14],[1,4,6,7,8,9,12],[1,4,6,8,10,12,14],[1,4,7,9,11,13,14],[1,5,6,10,11,12,13],[1,5,7,9,10,12,13],[2,3,6,9,12,13,14],[2,3,7,8,11,12,13],[2,4,5,8,10,12,13],[2,4,5,9,10,11,14],[2,4,6,7,11,12,14],[2,5,6,7,9,10,11],[2,7,8,9,10,12,14],[3,4,5,9,12,13,14],[3,4,6,7,9,10,13],[3,4,7,8,10,11,13],[3,5,6,7,8,10,14],[3,5,6,8,9,11,12],[4,5,6,8,11,13,14]]; G[7292]:=Group([(1,5)(2,12)(3,13)(4,10)(6,9)(8,11)]); # Design 7293: autom. group order 2, simple B[7293]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,10,11,13],[1,2,6,8,11,12,13],[1,3,5,8,11,12,14],[1,3,7,8,9,10,14],[1,4,6,7,9,11,12],[1,4,6,9,10,12,14],[1,4,7,8,12,13,14],[1,5,6,7,8,9,13],[1,5,9,10,11,13,14],[2,3,6,7,9,11,14],[2,3,7,9,12,13,14],[2,4,5,7,12,13,14],[2,4,5,8,9,11,14],[2,4,6,8,9,10,13],[2,5,6,8,10,12,14],[2,7,8,9,10,11,12],[3,4,5,9,10,12,13],[3,4,6,8,11,13,14],[3,4,7,8,10,11,13],[3,5,6,7,8,10,12],[3,5,6,9,11,12,13],[4,5,6,7,10,11,14]]; G[7293]:=Group([(1,8)(3,9)(6,11)(7,14)(12,13)]); # Design 7294: autom. group order 2, simple B[7294]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,11,13],[1,3,5,7,8,12,14],[1,3,7,9,10,11,14],[1,4,6,7,10,12,14],[1,4,6,8,9,11,12],[1,4,7,8,9,13,14],[1,5,6,8,10,12,13],[1,5,9,10,11,12,13],[2,3,6,9,12,13,14],[2,3,7,8,11,12,13],[2,4,5,7,10,12,13],[2,4,5,9,10,11,14],[2,4,6,8,11,12,14],[2,5,6,7,8,9,10],[2,7,8,9,10,12,14],[3,4,5,9,12,13,14],[3,4,6,8,9,10,13],[3,4,7,8,10,11,13],[3,5,6,7,9,11,12],[3,5,6,8,10,11,14],[4,5,6,7,11,13,14]]; G[7294]:=Group([(1,5)(2,12)(3,13)(4,10)(6,9)(7,11)]); # Design 7295: autom. group order 2, simple B[7295]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,12,13],[1,2,6,7,9,10,13],[1,3,5,7,10,11,14],[1,3,7,8,9,12,14],[1,4,6,8,10,11,14],[1,4,6,9,11,12,14],[1,4,7,8,9,10,13],[1,5,6,9,12,13,14],[1,5,7,8,11,12,13],[2,3,6,7,11,13,14],[2,3,8,9,11,12,13],[2,4,5,7,8,12,14],[2,4,5,9,10,13,14],[2,4,6,7,9,11,12],[2,5,6,8,10,12,14],[2,7,8,9,10,11,14],[3,4,5,9,11,13,14],[3,4,6,8,10,12,13],[3,4,7,10,12,13,14],[3,5,6,7,9,10,12],[3,5,6,8,9,10,11],[4,5,6,7,8,11,13]]; G[7295]:=Group([(1,12)(2,10)(5,13)(7,8)(9,14)]); # Design 7296: autom. group order 2, simple, residual B[7296]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,12,13],[1,2,6,7,11,13,14],[1,3,5,9,11,13,14],[1,3,7,8,10,11,14],[1,4,6,7,9,10,13],[1,4,6,7,9,12,14],[1,4,8,10,12,13,14],[1,5,6,8,11,12,14],[1,5,7,8,9,10,12],[2,3,6,9,10,12,14],[2,3,7,8,9,12,14],[2,4,5,7,10,11,14],[2,4,5,10,12,13,14],[2,4,6,8,9,11,14],[2,5,6,7,8,12,13],[2,7,8,9,10,11,13],[3,4,5,7,8,13,14],[3,4,6,8,11,12,13],[3,4,7,9,11,12,13],[3,5,6,7,10,11,12],[3,5,6,9,10,13,14],[4,5,6,8,9,10,11]]; G[7296]:=Group([(1,11)(2,12)(5,13)(7,8)]); # Design 7297: autom. group order 2, simple, residual B[7297]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,12,13],[1,2,6,7,9,10,13],[1,3,5,9,11,12,14],[1,3,7,8,10,11,14],[1,4,6,7,8,11,12],[1,4,6,9,11,13,14],[1,4,7,8,9,12,13],[1,5,6,9,10,12,14],[1,5,7,8,10,13,14],[2,3,6,7,9,12,14],[2,3,7,9,10,11,13],[2,4,5,7,12,13,14],[2,4,5,8,9,10,14],[2,4,6,8,10,11,14],[2,5,6,8,11,12,13],[2,7,8,9,11,12,14],[3,4,5,7,11,13,14],[3,4,6,10,12,13,14],[3,4,8,9,10,12,13],[3,5,6,7,8,10,12],[3,5,6,8,9,11,13],[4,5,6,7,9,10,11]]; G[7297]:=Group([(1,10)(2,12)(5,13)(7,14)]); # Design 7298: autom. group order 2, simple, residual B[7298]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,7,9,10,14],[1,3,5,9,12,13,14],[1,3,7,8,10,13,14],[1,4,6,7,12,13,14],[1,4,6,8,11,12,13],[1,4,7,8,9,11,14],[1,5,6,9,10,11,12],[1,5,7,8,10,11,12],[2,3,6,8,11,12,14],[2,3,7,9,11,12,13],[2,4,5,7,8,12,14],[2,4,5,7,10,11,13],[2,4,6,9,10,12,14],[2,5,6,8,11,13,14],[2,7,8,9,10,12,13],[3,4,5,10,12,13,14],[3,4,6,7,9,11,13],[3,4,8,9,10,11,14],[3,5,6,7,8,9,12],[3,5,6,7,10,11,14],[4,5,6,8,9,10,13]]; G[7298]:=Group([(2,11)(3,12)(4,10)(6,8)]); # Design 7299: autom. group order 2, simple, residual B[7299]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,7,10,13,14],[1,3,5,9,12,13,14],[1,3,7,9,10,12,14],[1,4,6,7,8,9,14],[1,4,6,9,11,12,13],[1,4,7,8,11,12,13],[1,5,6,8,10,11,12],[1,5,7,8,10,11,14],[2,3,6,8,11,12,14],[2,3,7,8,9,11,13],[2,4,5,7,8,12,14],[2,4,5,10,11,13,14],[2,4,6,9,10,12,14],[2,5,6,7,9,11,12],[2,7,8,9,10,12,13],[3,4,5,7,10,12,13],[3,4,6,7,11,13,14],[3,4,8,9,10,11,14],[3,5,6,7,9,10,11],[3,5,6,8,12,13,14],[4,5,6,8,9,10,13]]; G[7299]:=Group([(2,11)(3,12)(5,13)(6,8)]); # Design 7300: autom. group order 2, simple B[7300]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,7,9,10,14],[1,3,5,9,12,13,14],[1,3,7,8,10,13,14],[1,4,6,7,12,13,14],[1,4,6,8,11,12,13],[1,4,7,8,9,11,14],[1,5,6,9,10,11,12],[1,5,7,8,10,11,12],[2,3,6,8,11,12,14],[2,3,7,9,11,12,13],[2,4,5,7,10,11,13],[2,4,5,8,12,13,14],[2,4,6,9,10,12,14],[2,5,6,7,8,11,14],[2,7,8,9,10,12,13],[3,4,5,7,10,12,14],[3,4,6,7,9,11,13],[3,4,8,9,10,11,14],[3,5,6,7,8,9,12],[3,5,6,10,11,13,14],[4,5,6,8,9,10,13]]; G[7300]:=Group([(2,11)(3,12)(4,10)(6,8)]); # Design 7301: autom. group order 2, simple B[7301]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,7,10,13,14],[1,3,5,9,12,13,14],[1,3,7,8,9,10,14],[1,4,6,7,9,12,14],[1,4,6,8,11,12,13],[1,4,7,8,11,13,14],[1,5,6,9,10,11,12],[1,5,7,8,10,11,12],[2,3,6,8,11,12,14],[2,3,7,9,11,12,13],[2,4,5,7,10,11,14],[2,4,5,8,12,13,14],[2,4,6,9,10,12,14],[2,5,6,7,8,9,11],[2,7,8,9,10,12,13],[3,4,5,7,10,12,13],[3,4,6,7,9,11,13],[3,4,8,9,10,11,14],[3,5,6,7,8,12,14],[3,5,6,10,11,13,14],[4,5,6,8,9,10,13]]; G[7301]:=Group([(2,11)(3,12)(4,10)(6,8)]); # Design 7302: autom. group order 2, simple, residual B[7302]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,7,10,13,14],[1,3,5,9,12,13,14],[1,3,7,8,9,10,14],[1,4,6,7,9,12,14],[1,4,6,8,11,12,13],[1,4,7,8,11,13,14],[1,5,6,9,10,11,12],[1,5,7,8,10,11,12],[2,3,6,8,11,12,14],[2,3,7,9,11,12,13],[2,4,5,7,8,12,14],[2,4,5,10,11,13,14],[2,4,6,9,10,12,14],[2,5,6,7,8,9,11],[2,7,8,9,10,12,13],[3,4,5,7,10,12,13],[3,4,6,7,9,11,13],[3,4,8,9,10,11,14],[3,5,6,7,10,11,14],[3,5,6,8,12,13,14],[4,5,6,8,9,10,13]]; G[7302]:=Group([(2,11)(3,12)(4,10)(6,8)]); # Design 7303: autom. group order 2, simple, residual B[7303]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,9,11,12,14],[1,3,5,7,10,12,14],[1,3,7,8,9,11,13],[1,4,6,7,10,11,14],[1,4,6,9,10,12,13],[1,4,7,8,12,13,14],[1,5,6,8,11,12,13],[1,5,7,8,9,10,14],[2,3,6,7,9,12,14],[2,3,8,10,12,13,14],[2,4,5,7,9,12,13],[2,4,5,10,11,13,14],[2,4,6,7,8,13,14],[2,5,6,7,8,10,11],[2,7,8,9,10,11,12],[3,4,5,8,11,12,14],[3,4,6,8,9,11,14],[3,4,7,9,10,11,13],[3,5,6,7,11,12,13],[3,5,6,9,10,13,14],[4,5,6,8,9,10,12]]; G[7303]:=Group([(2,14)(3,7)(4,10)(6,12)]); # Design 7304: autom. group order 2, simple, residual B[7304]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,9,11,12,14],[1,3,5,7,10,12,14],[1,3,7,8,9,11,13],[1,4,6,7,10,11,14],[1,4,6,9,10,12,13],[1,4,7,8,12,13,14],[1,5,6,8,11,12,13],[1,5,7,8,9,10,14],[2,3,6,7,9,12,14],[2,3,8,10,12,13,14],[2,4,5,7,9,12,13],[2,4,5,8,10,11,14],[2,4,6,7,8,13,14],[2,5,6,7,10,11,13],[2,7,8,9,10,11,12],[3,4,5,11,12,13,14],[3,4,6,8,9,11,14],[3,4,7,9,10,11,13],[3,5,6,7,8,11,12],[3,5,6,9,10,13,14],[4,5,6,8,9,10,12]]; G[7304]:=Group([(2,14)(3,7)(4,10)(6,12)]); # Design 7305: autom. group order 2, simple, residual B[7305]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,9,11,12,14],[1,3,5,7,10,12,14],[1,3,7,8,9,11,13],[1,4,6,7,10,11,14],[1,4,6,9,10,12,13],[1,4,7,8,12,13,14],[1,5,6,8,11,12,13],[1,5,7,8,9,10,14],[2,3,6,7,9,12,14],[2,3,8,10,12,13,14],[2,4,5,7,11,12,13],[2,4,5,8,10,11,14],[2,4,6,7,8,13,14],[2,5,6,7,9,10,13],[2,7,8,9,10,11,12],[3,4,5,9,12,13,14],[3,4,6,8,9,11,14],[3,4,7,9,10,11,13],[3,5,6,7,8,11,12],[3,5,6,10,11,13,14],[4,5,6,8,9,10,12]]; G[7305]:=Group([(2,14)(3,7)(4,10)(6,12)]); # Design 7306: autom. group order 2, simple, residual B[7306]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,9,11,12,14],[1,3,5,7,10,12,14],[1,3,7,8,9,11,13],[1,4,6,7,10,11,14],[1,4,6,9,10,12,13],[1,4,7,8,12,13,14],[1,5,6,8,11,12,13],[1,5,7,8,9,10,14],[2,3,6,7,9,12,14],[2,3,8,10,12,13,14],[2,4,5,7,8,11,12],[2,4,5,10,11,13,14],[2,4,6,7,8,13,14],[2,5,6,7,9,10,13],[2,7,8,9,10,11,12],[3,4,5,9,12,13,14],[3,4,6,8,9,11,14],[3,4,7,9,10,11,13],[3,5,6,7,11,12,13],[3,5,6,8,10,11,14],[4,5,6,8,9,10,12]]; G[7306]:=Group([(2,14)(3,7)(4,10)(6,12)]); # Design 7307: autom. group order 2, simple, residual B[7307]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,12,13],[1,2,6,9,10,11,14],[1,3,5,7,10,12,14],[1,3,7,8,9,11,14],[1,4,6,7,9,12,13],[1,4,6,9,11,12,14],[1,4,7,8,9,10,13],[1,5,6,8,10,13,14],[1,5,7,8,11,12,13],[2,3,6,7,12,13,14],[2,3,8,9,11,12,13],[2,4,5,7,8,11,14],[2,4,5,9,10,13,14],[2,4,6,7,8,10,12],[2,5,6,7,9,11,13],[2,7,8,9,10,12,14],[3,4,5,9,12,13,14],[3,4,6,8,10,11,13],[3,4,7,10,11,13,14],[3,5,6,7,9,10,11],[3,5,6,8,9,10,12],[4,5,6,8,11,12,14]]; G[7307]:=Group([(1,11)(2,10)(5,13)(7,8)(9,14)]); # Design 7308: autom. group order 2, simple, residual B[7308]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,12,13],[1,2,6,9,10,11,14],[1,3,5,7,10,12,14],[1,3,7,8,9,11,14],[1,4,6,7,9,12,13],[1,4,6,8,10,12,14],[1,4,7,8,9,10,13],[1,5,6,9,11,13,14],[1,5,7,8,11,12,13],[2,3,6,7,12,13,14],[2,3,8,9,11,12,13],[2,4,5,7,8,11,14],[2,4,5,9,10,13,14],[2,4,6,7,9,11,12],[2,5,6,7,8,10,13],[2,7,8,9,10,12,14],[3,4,5,9,12,13,14],[3,4,6,8,10,11,13],[3,4,7,10,11,13,14],[3,5,6,7,9,10,11],[3,5,6,8,9,10,12],[4,5,6,8,11,12,14]]; G[7308]:=Group([(1,11)(2,10)(5,13)(7,8)(9,14)]); # Design 7309: autom. group order 2, simple, residual B[7309]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,13,14],[1,2,6,9,10,11,12],[1,3,5,7,10,12,13],[1,3,7,8,9,11,13],[1,4,6,7,12,13,14],[1,4,6,8,9,10,13],[1,4,7,8,10,12,14],[1,5,6,9,11,12,14],[1,5,7,8,9,11,14],[2,3,6,7,9,12,14],[2,3,8,11,12,13,14],[2,4,5,7,8,11,12],[2,4,5,9,10,13,14],[2,4,6,7,9,11,13],[2,5,6,7,8,10,14],[2,7,8,9,10,12,13],[3,4,5,9,12,13,14],[3,4,6,8,10,11,14],[3,4,7,9,10,11,14],[3,5,6,7,10,11,13],[3,5,6,8,9,10,12],[4,5,6,8,11,12,13]]; G[7309]:=Group([(1,11)(2,10)(5,14)(7,8)]); # Design 7310: autom. group order 2, simple, residual B[7310]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,8,11,13],[1,3,7,9,10,12,13],[1,4,6,7,8,9,14],[1,4,6,8,10,11,12],[1,4,7,9,10,11,14],[1,5,6,9,11,12,13],[1,5,7,8,10,12,14],[2,3,6,8,9,10,11],[2,3,7,8,9,12,14],[2,4,5,7,10,12,13],[2,4,5,9,11,12,14],[2,4,6,7,8,12,13],[2,5,6,7,10,11,14],[2,7,8,9,10,11,13],[3,4,5,9,10,13,14],[3,4,6,7,11,13,14],[3,4,8,11,12,13,14],[3,5,6,7,9,11,12],[3,5,6,8,10,12,14],[4,5,6,8,9,10,13]]; G[7310]:=Group([(1,13)(2,14)(5,11)(9,12)]); # Design 7311: autom. group order 2, simple, residual B[7311]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,13,14],[1,2,6,9,12,13,14],[1,3,5,7,10,11,13],[1,3,7,8,9,12,13],[1,4,6,7,9,10,14],[1,4,6,8,10,11,12],[1,4,7,8,9,11,14],[1,5,6,9,11,12,13],[1,5,7,8,10,12,14],[2,3,6,8,9,10,11],[2,3,7,9,10,12,14],[2,4,5,7,8,12,13],[2,4,5,9,11,12,14],[2,4,6,7,10,12,13],[2,5,6,7,8,11,14],[2,7,8,9,10,11,13],[3,4,5,9,10,13,14],[3,4,6,7,11,13,14],[3,4,8,11,12,13,14],[3,5,6,7,9,11,12],[3,5,6,8,10,12,14],[4,5,6,8,9,10,13]]; G[7311]:=Group([(1,13)(2,14)(5,11)(9,12)]); # Design 7312: autom. group order 2, simple, residual B[7312]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,13,14],[1,2,6,9,10,12,13],[1,3,5,7,11,12,14],[1,3,7,8,9,10,14],[1,4,6,7,9,11,14],[1,4,6,8,12,13,14],[1,4,7,8,11,12,13],[1,5,6,9,10,11,12],[1,5,7,8,9,10,13],[2,3,6,8,9,11,12],[2,3,7,10,12,13,14],[2,4,5,7,8,10,12],[2,4,5,9,11,13,14],[2,4,6,7,9,10,14],[2,5,6,7,8,11,13],[2,7,8,9,11,12,14],[3,4,5,9,12,13,14],[3,4,6,7,10,11,13],[3,4,8,9,10,11,13],[3,5,6,7,9,12,13],[3,5,6,8,10,11,14],[4,5,6,8,10,12,14]]; G[7312]:=Group([(1,10)(2,11)(5,13)]); # Design 7313: autom. group order 2, simple, residual B[7313]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,12,13],[1,2,6,9,10,13,14],[1,3,5,9,11,12,14],[1,3,7,8,10,11,14],[1,4,6,7,9,11,13],[1,4,6,8,11,12,14],[1,4,7,8,9,12,13],[1,5,6,7,9,10,12],[1,5,7,8,10,13,14],[2,3,6,7,9,12,14],[2,3,7,9,10,11,13],[2,4,5,7,12,13,14],[2,4,5,8,9,10,14],[2,4,6,7,8,10,11],[2,5,6,8,11,12,13],[2,7,8,9,11,12,14],[3,4,5,7,11,13,14],[3,4,6,10,12,13,14],[3,4,8,9,10,12,13],[3,5,6,7,8,10,12],[3,5,6,8,9,11,13],[4,5,6,9,10,11,14]]; G[7313]:=Group([(1,10)(2,12)(5,13)(7,14)]); # Design 7314: autom. group order 2, simple, residual B[7314]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,12,13,14],[1,3,5,9,11,12,13],[1,3,7,8,9,11,14],[1,4,6,7,9,11,14],[1,4,6,9,10,13,14],[1,4,7,8,10,12,13],[1,5,6,8,10,11,12],[1,5,7,9,10,12,14],[2,3,6,8,9,10,14],[2,3,7,10,11,12,14],[2,4,5,7,11,13,14],[2,4,5,9,10,12,14],[2,4,6,9,11,12,13],[2,5,7,8,9,10,13],[2,6,7,8,9,11,12],[3,4,5,6,8,12,14],[3,4,7,8,9,12,13],[3,4,8,10,11,13,14],[3,5,6,7,12,13,14],[3,5,6,9,10,11,13],[4,5,6,7,8,10,11]]; G[7314]:=Group([(2,14)(3,9)(4,7)(5,11)]); # Design 7315: autom. group order 2, simple, residual B[7315]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,12,13,14],[1,3,5,9,11,12,13],[1,3,7,8,9,11,14],[1,4,6,7,9,11,14],[1,4,6,9,10,13,14],[1,4,7,8,10,12,13],[1,5,6,8,10,11,12],[1,5,7,9,10,12,14],[2,3,6,8,9,12,14],[2,3,7,10,11,12,14],[2,4,5,7,11,13,14],[2,4,5,9,10,12,14],[2,4,6,9,11,12,13],[2,5,7,8,9,10,13],[2,6,7,8,9,10,11],[3,4,5,6,8,10,14],[3,4,7,8,9,12,13],[3,4,8,10,11,13,14],[3,5,6,7,12,13,14],[3,5,6,9,10,11,13],[4,5,6,7,8,11,12]]; G[7315]:=Group([(2,14)(3,9)(4,7)(5,11)]); # Design 7316: autom. group order 2, simple, residual B[7316]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,12,13,14],[1,3,5,9,11,12,13],[1,3,7,8,9,11,14],[1,4,6,7,9,11,14],[1,4,6,9,10,13,14],[1,4,7,8,10,12,13],[1,5,6,8,10,11,12],[1,5,7,9,10,12,14],[2,3,6,8,9,10,14],[2,3,7,10,11,12,14],[2,4,5,7,11,13,14],[2,4,5,9,10,12,14],[2,4,6,8,9,11,12],[2,5,7,8,9,10,13],[2,6,7,9,11,12,13],[3,4,5,6,12,13,14],[3,4,7,8,9,12,13],[3,4,8,10,11,13,14],[3,5,6,7,8,12,14],[3,5,6,9,10,11,13],[4,5,6,7,8,10,11]]; G[7316]:=Group([(2,14)(3,9)(4,7)(5,11)]); # Design 7317: autom. group order 2, simple, residual B[7317]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,12,13,14],[1,3,5,9,11,12,13],[1,3,7,8,9,11,14],[1,4,6,7,9,11,14],[1,4,6,9,10,13,14],[1,4,7,8,10,12,13],[1,5,6,8,10,11,12],[1,5,7,9,10,12,14],[2,3,6,8,9,12,14],[2,3,7,10,11,12,14],[2,4,5,7,11,13,14],[2,4,5,9,10,12,14],[2,4,6,8,9,10,11],[2,5,7,8,9,10,13],[2,6,7,9,11,12,13],[3,4,5,6,12,13,14],[3,4,7,8,9,12,13],[3,4,8,10,11,13,14],[3,5,6,7,8,10,14],[3,5,6,9,10,11,13],[4,5,6,7,8,11,12]]; G[7317]:=Group([(2,14)(3,9)(4,7)(5,11)]); # Design 7318: autom. group order 2, simple B[7318]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,9,11,13],[1,2,6,7,11,12,14],[1,3,5,9,12,13,14],[1,3,7,8,10,13,14],[1,4,6,8,11,12,13],[1,4,6,9,10,11,14],[1,4,7,9,10,12,13],[1,5,6,7,8,12,14],[1,5,8,9,10,11,14],[2,3,6,8,9,11,14],[2,3,7,9,10,12,14],[2,4,5,8,12,13,14],[2,4,5,10,11,13,14],[2,4,6,7,9,13,14],[2,5,7,8,10,11,12],[2,6,8,9,10,12,13],[3,4,5,6,10,12,14],[3,4,7,8,9,11,12],[3,4,7,8,11,13,14],[3,5,6,7,10,11,13],[3,5,6,9,11,12,13],[4,5,6,7,8,9,10]]; G[7318]:=Group([(1,14)(2,4)(3,13)(6,11)(7,10)(9,12)]); # Design 7319: autom. group order 2, simple, residual B[7319]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,7,9,12,14],[1,3,5,9,10,12,13],[1,3,8,9,10,13,14],[1,4,6,7,9,10,14],[1,4,6,9,11,12,13],[1,4,7,8,11,12,13],[1,5,6,8,11,12,14],[1,5,7,8,10,11,14],[2,3,6,10,11,12,14],[2,3,7,8,9,11,12],[2,4,5,8,9,11,14],[2,4,5,10,12,13,14],[2,4,6,7,8,10,13],[2,5,7,9,12,13,14],[2,6,8,9,10,11,13],[3,4,5,6,11,13,14],[3,4,7,8,12,13,14],[3,4,7,9,10,11,14],[3,5,6,7,8,10,12],[3,5,6,7,9,11,13],[4,5,6,8,9,10,12]]; G[7319]:=Group([(2,12)(3,11)(5,13)(7,9)]); # Design 7320: autom. group order 2, simple, residual B[7320]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,9,10,13,14],[1,3,5,7,12,13,14],[1,3,7,8,9,10,14],[1,4,6,7,8,11,12],[1,4,6,9,12,13,14],[1,4,7,8,9,11,14],[1,5,6,9,10,11,12],[1,5,8,10,11,12,13],[2,3,6,8,11,12,14],[2,3,7,9,11,12,13],[2,4,5,8,12,13,14],[2,4,5,9,10,11,14],[2,4,6,7,10,12,14],[2,5,7,8,9,10,12],[2,6,7,8,9,11,13],[3,4,5,6,9,11,13],[3,4,7,9,10,12,13],[3,4,8,10,11,13,14],[3,5,6,7,10,11,14],[3,5,6,8,9,12,14],[4,5,6,7,8,10,13]]; G[7320]:=Group([(2,11)(3,12)(4,10)(6,8)(7,13)]); # Design 7321: autom. group order 2, simple, residual B[7321]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,9,12,14],[1,3,5,7,10,12,13],[1,3,7,8,10,13,14],[1,4,6,7,9,10,14],[1,4,6,9,11,12,13],[1,4,7,8,11,12,13],[1,5,6,8,11,12,14],[1,5,8,9,10,11,14],[2,3,6,10,11,12,14],[2,3,7,8,9,11,12],[2,4,5,7,8,11,14],[2,4,5,10,12,13,14],[2,4,6,8,9,10,13],[2,5,7,9,12,13,14],[2,6,7,8,10,11,13],[3,4,5,6,11,13,14],[3,4,7,9,10,11,14],[3,4,8,9,12,13,14],[3,5,6,7,9,11,13],[3,5,6,8,9,10,12],[4,5,6,7,8,10,12]]; G[7321]:=Group([(2,12)(3,11)(5,13)(7,9)]); # Design 7322: autom. group order 2, simple, residual B[7322]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,7,9,10,14],[1,3,5,9,12,13,14],[1,3,7,8,10,13,14],[1,4,6,7,9,12,14],[1,4,6,8,9,11,12],[1,4,7,8,11,13,14],[1,5,6,10,11,12,13],[1,5,7,8,10,11,12],[2,3,6,8,11,12,14],[2,3,7,9,11,12,13],[2,4,5,7,8,12,13],[2,4,5,7,10,11,14],[2,4,6,10,12,13,14],[2,5,8,9,10,12,14],[2,6,7,8,9,11,13],[3,4,5,6,11,13,14],[3,4,7,9,10,12,13],[3,4,8,9,10,11,14],[3,5,6,7,8,12,14],[3,5,6,7,9,10,11],[4,5,6,8,9,10,13]]; G[7322]:=Group([(2,11)(3,12)(4,10)(6,8)(9,13)]); # Design 7323: autom. group order 2, simple, residual B[7323]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,9,11,12,14],[1,3,5,7,10,12,14],[1,3,7,8,9,11,13],[1,4,6,7,10,11,14],[1,4,6,9,10,12,13],[1,4,7,8,12,13,14],[1,5,6,8,11,12,13],[1,5,7,8,9,10,14],[2,3,6,7,9,12,14],[2,3,8,10,12,13,14],[2,4,5,7,9,12,13],[2,4,5,10,11,13,14],[2,4,6,7,8,13,14],[2,5,7,8,10,11,12],[2,6,7,8,9,10,11],[3,4,5,6,8,11,14],[3,4,7,9,10,11,13],[3,4,8,9,11,12,14],[3,5,6,7,11,12,13],[3,5,6,9,10,13,14],[4,5,6,8,9,10,12]]; G[7323]:=Group([(2,14)(3,7)(4,10)(6,12)]); # Design 7324: autom. group order 2, simple, residual B[7324]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,9,11,12,14],[1,3,5,7,10,12,14],[1,3,7,8,9,11,13],[1,4,6,7,10,11,14],[1,4,6,9,10,12,13],[1,4,7,8,12,13,14],[1,5,6,8,11,12,13],[1,5,7,8,9,10,14],[2,3,6,7,9,12,14],[2,3,8,10,12,13,14],[2,4,5,7,9,12,13],[2,4,5,8,10,11,14],[2,4,6,7,8,13,14],[2,5,7,10,11,12,13],[2,6,7,8,9,10,11],[3,4,5,6,11,13,14],[3,4,7,9,10,11,13],[3,4,8,9,11,12,14],[3,5,6,7,8,11,12],[3,5,6,9,10,13,14],[4,5,6,8,9,10,12]]; G[7324]:=Group([(2,14)(3,7)(4,10)(6,12)]); # Design 7325: autom. group order 2, simple, residual B[7325]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,9,11,12,14],[1,3,5,7,10,12,14],[1,3,7,8,9,11,13],[1,4,6,7,10,11,14],[1,4,6,9,10,12,13],[1,4,7,8,12,13,14],[1,5,6,8,11,12,13],[1,5,7,8,9,10,14],[2,3,6,7,9,12,14],[2,3,8,10,12,13,14],[2,4,5,7,11,12,13],[2,4,5,8,10,11,14],[2,4,6,7,8,13,14],[2,5,7,9,10,12,13],[2,6,7,8,9,10,11],[3,4,5,6,9,13,14],[3,4,7,9,10,11,13],[3,4,8,9,11,12,14],[3,5,6,7,8,11,12],[3,5,6,10,11,13,14],[4,5,6,8,9,10,12]]; G[7325]:=Group([(2,14)(3,7)(4,10)(6,12)]); # Design 7326: autom. group order 2, simple, residual B[7326]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,9,11,12,14],[1,3,5,7,10,12,14],[1,3,7,8,9,11,13],[1,4,6,7,10,11,14],[1,4,6,9,10,12,13],[1,4,7,8,12,13,14],[1,5,6,8,11,12,13],[1,5,7,8,9,10,14],[2,3,6,7,9,12,14],[2,3,8,10,12,13,14],[2,4,5,7,8,11,12],[2,4,5,10,11,13,14],[2,4,6,7,8,13,14],[2,5,7,9,10,12,13],[2,6,7,8,9,10,11],[3,4,5,6,9,13,14],[3,4,7,9,10,11,13],[3,4,8,9,11,12,14],[3,5,6,7,11,12,13],[3,5,6,8,10,11,14],[4,5,6,8,9,10,12]]; G[7326]:=Group([(2,14)(3,7)(4,10)(6,12)]); # Design 7327: autom. group order 2, simple, residual B[7327]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,12,13,14],[1,3,5,9,11,12,13],[1,3,7,8,9,11,14],[1,4,6,7,9,11,14],[1,4,6,9,10,13,14],[1,4,7,8,10,12,13],[1,5,6,8,10,11,12],[1,5,7,9,10,12,14],[2,3,6,8,9,10,14],[2,3,7,10,11,12,14],[2,4,5,7,11,13,14],[2,4,5,9,10,12,14],[2,4,8,9,10,11,13],[2,5,6,7,9,12,13],[2,6,7,8,9,11,12],[3,4,5,6,8,12,14],[3,4,6,11,12,13,14],[3,4,7,8,9,12,13],[3,5,6,9,10,11,13],[3,5,7,8,10,13,14],[4,5,6,7,8,10,11]]; G[7327]:=Group([(2,14)(3,9)(4,7)(5,11)]); # Design 7328: autom. group order 2, simple, residual B[7328]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,12,13,14],[1,3,5,9,11,12,13],[1,3,7,8,9,11,14],[1,4,6,7,9,11,14],[1,4,6,9,10,13,14],[1,4,7,8,10,12,13],[1,5,6,8,10,11,12],[1,5,7,9,10,12,14],[2,3,6,8,9,12,14],[2,3,7,10,11,12,14],[2,4,5,7,11,13,14],[2,4,5,9,10,12,14],[2,4,8,9,10,11,13],[2,5,6,7,9,12,13],[2,6,7,8,9,10,11],[3,4,5,6,8,10,14],[3,4,6,11,12,13,14],[3,4,7,8,9,12,13],[3,5,6,9,10,11,13],[3,5,7,8,10,13,14],[4,5,6,7,8,11,12]]; G[7328]:=Group([(2,14)(3,9)(4,7)(5,11)]); # Design 7329: autom. group order 2, simple, residual B[7329]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,12,13,14],[1,3,5,9,11,12,13],[1,3,7,8,9,11,14],[1,4,6,7,9,11,14],[1,4,6,9,10,13,14],[1,4,7,8,10,12,13],[1,5,6,8,10,11,12],[1,5,7,9,10,12,14],[2,3,6,8,9,10,14],[2,3,7,10,11,12,14],[2,4,5,7,11,13,14],[2,4,5,9,10,12,14],[2,4,8,9,10,11,13],[2,5,6,7,8,9,12],[2,6,7,9,11,12,13],[3,4,5,6,12,13,14],[3,4,6,8,11,12,14],[3,4,7,8,9,12,13],[3,5,6,9,10,11,13],[3,5,7,8,10,13,14],[4,5,6,7,8,10,11]]; G[7329]:=Group([(2,14)(3,9)(4,7)(5,11)]); # Design 7330: autom. group order 2, simple, residual B[7330]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,12,13,14],[1,3,5,9,11,12,13],[1,3,7,8,9,11,14],[1,4,6,7,9,11,14],[1,4,6,9,10,13,14],[1,4,7,8,10,12,13],[1,5,6,8,10,11,12],[1,5,7,9,10,12,14],[2,3,6,8,9,12,14],[2,3,7,10,11,12,14],[2,4,5,7,11,13,14],[2,4,5,9,10,12,14],[2,4,8,9,10,11,13],[2,5,6,7,8,9,10],[2,6,7,9,11,12,13],[3,4,5,6,12,13,14],[3,4,6,8,10,11,14],[3,4,7,8,9,12,13],[3,5,6,9,10,11,13],[3,5,7,8,10,13,14],[4,5,6,7,8,11,12]]; G[7330]:=Group([(2,14)(3,9)(4,7)(5,11)]); # Design 7331: autom. group order 2, simple, residual B[7331]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,9,11,13,14],[1,3,5,8,12,13,14],[1,3,7,8,9,10,14],[1,4,6,7,8,12,14],[1,4,6,9,10,13,14],[1,4,7,9,11,12,13],[1,5,6,8,10,11,12],[1,5,7,9,10,11,12],[2,3,6,9,11,12,14],[2,3,8,9,10,12,13],[2,4,5,7,12,13,14],[2,4,5,9,10,12,14],[2,4,7,8,10,11,13],[2,5,6,7,8,9,11],[2,6,7,8,10,12,14],[3,4,5,6,10,11,14],[3,4,6,8,11,12,13],[3,4,7,8,9,11,14],[3,5,6,7,9,12,13],[3,5,7,10,11,13,14],[4,5,6,8,9,10,13]]; G[7331]:=Group([(2,11)(3,12)(4,10)(6,9)]); # Design 7332: autom. group order 2, simple, residual B[7332]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,13,14],[1,2,6,9,10,11,13],[1,3,5,11,12,13,14],[1,3,7,8,9,11,14],[1,4,6,8,9,11,13],[1,4,6,8,10,12,14],[1,4,7,9,10,12,14],[1,5,6,7,8,11,12],[1,5,7,9,10,12,13],[2,3,6,7,9,10,12],[2,3,8,10,11,12,13],[2,4,5,7,8,12,13],[2,4,5,9,11,12,14],[2,4,7,9,11,13,14],[2,5,6,8,9,10,14],[2,6,7,8,11,12,14],[3,4,5,6,10,11,14],[3,4,6,8,9,12,13],[3,4,7,8,10,13,14],[3,5,6,9,12,13,14],[3,5,7,8,9,10,11],[4,5,6,7,10,11,13]]; G[7332]:=Group([(2,10)(3,12)(5,14)(6,9)]); # Design 7333: autom. group order 2, simple, residual B[7333]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,13,14],[1,2,6,8,11,12,13],[1,3,5,9,10,11,14],[1,3,7,9,11,13,14],[1,4,6,8,9,11,14],[1,4,6,10,12,13,14],[1,4,7,9,10,12,13],[1,5,6,7,8,11,12],[1,5,7,8,9,10,12],[2,3,6,7,9,10,12],[2,3,8,9,11,12,13],[2,4,5,7,11,12,14],[2,4,5,9,12,13,14],[2,4,7,8,10,11,14],[2,5,6,9,10,11,13],[2,6,7,8,9,10,14],[3,4,5,6,8,10,13],[3,4,6,8,9,12,14],[3,4,7,8,10,11,13],[3,5,6,10,11,12,14],[3,5,7,8,12,13,14],[4,5,6,7,9,11,13]]; G[7333]:=Group([(2,10)(3,12)(5,13)(6,9)(8,14)]); # Design 7334: autom. group order 2, simple, residual B[7334]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,13,14],[1,2,6,8,11,12,13],[1,3,5,9,10,11,14],[1,3,7,9,11,13,14],[1,4,6,8,9,11,14],[1,4,6,10,12,13,14],[1,4,7,9,10,12,13],[1,5,6,7,8,11,12],[1,5,7,8,9,10,12],[2,3,6,7,9,10,12],[2,3,8,10,11,12,14],[2,4,5,7,11,12,14],[2,4,5,9,12,13,14],[2,4,7,8,9,11,13],[2,5,6,9,10,11,13],[2,6,7,8,9,10,14],[3,4,5,6,8,10,13],[3,4,6,8,9,12,14],[3,4,7,8,10,11,13],[3,5,6,9,11,12,13],[3,5,7,8,12,13,14],[4,5,6,7,10,11,14]]; G[7334]:=Group([(2,10)(3,12)(5,13)(6,9)(8,14)]); # Design 7335: autom. group order 2, simple, residual B[7335]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,13,14],[1,2,6,8,11,12,13],[1,3,5,9,10,11,14],[1,3,7,8,11,12,14],[1,4,6,8,9,11,14],[1,4,6,10,12,13,14],[1,4,7,9,10,12,13],[1,5,6,7,9,11,13],[1,5,7,8,9,10,12],[2,3,6,7,9,10,12],[2,3,9,10,11,13,14],[2,4,5,7,11,12,14],[2,4,5,9,12,13,14],[2,4,7,8,9,11,13],[2,5,6,8,10,11,12],[2,6,7,8,9,10,14],[3,4,5,6,8,10,13],[3,4,6,8,9,12,14],[3,4,7,8,10,11,13],[3,5,6,9,11,12,13],[3,5,7,8,12,13,14],[4,5,6,7,10,11,14]]; G[7335]:=Group([(2,10)(3,12)(5,13)(6,9)(8,14)]); # Design 7336: autom. group order 2, simple B[7336]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,13,14],[1,2,6,8,11,12,13],[1,3,5,9,10,11,14],[1,3,7,9,11,13,14],[1,4,6,8,9,11,14],[1,4,6,10,12,13,14],[1,4,7,9,10,12,13],[1,5,6,7,8,11,12],[1,5,7,8,9,10,12],[2,3,6,9,10,11,12],[2,3,7,8,9,12,13],[2,4,5,7,11,12,14],[2,4,5,9,12,13,14],[2,4,7,8,10,11,14],[2,5,6,9,10,11,13],[2,6,7,8,9,10,14],[3,4,5,6,8,10,13],[3,4,6,8,9,12,14],[3,4,7,8,10,11,13],[3,5,6,7,10,12,14],[3,5,8,11,12,13,14],[4,5,6,7,9,11,13]]; G[7336]:=Group([(2,10)(3,12)(5,13)(6,9)(8,14)]); # Design 7337: autom. group order 2, simple, residual B[7337]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,13,14],[1,2,6,8,11,12,13],[1,3,5,9,10,11,14],[1,3,7,9,11,13,14],[1,4,6,8,9,11,14],[1,4,6,10,12,13,14],[1,4,7,9,10,12,13],[1,5,6,7,8,11,12],[1,5,7,8,9,10,12],[2,3,6,9,10,11,12],[2,3,7,8,10,12,14],[2,4,5,7,11,12,14],[2,4,5,9,12,13,14],[2,4,7,8,9,11,13],[2,5,6,9,10,11,13],[2,6,7,8,9,10,14],[3,4,5,6,8,10,13],[3,4,6,8,9,12,14],[3,4,7,8,10,11,13],[3,5,6,7,9,12,13],[3,5,8,11,12,13,14],[4,5,6,7,10,11,14]]; G[7337]:=Group([(2,10)(3,12)(5,13)(6,9)(8,14)]); # Design 7338: autom. group order 2, simple, residual B[7338]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,7,9,10,14],[1,3,5,7,12,13,14],[1,3,8,9,10,13,14],[1,4,6,7,8,11,12],[1,4,6,9,11,13,14],[1,4,7,8,9,12,14],[1,5,6,10,11,12,13],[1,5,8,9,10,11,12],[2,3,6,9,11,12,14],[2,3,7,9,11,12,13],[2,4,5,8,12,13,14],[2,4,5,9,10,11,14],[2,4,7,8,10,11,13],[2,5,6,8,9,12,13],[2,6,7,8,10,12,14],[3,4,5,6,10,12,14],[3,4,6,8,11,13,14],[3,4,7,9,10,12,13],[3,5,6,7,8,9,11],[3,5,7,8,10,11,14],[4,5,6,7,9,10,13]]; G[7338]:=Group([(2,11)(3,12)(4,10)(7,13)]); # Design 7339: autom. group order 2, simple, residual B[7339]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,6,7,11,12,13],[1,3,5,9,10,11,14],[1,3,7,8,11,12,14],[1,4,6,7,9,11,14],[1,4,6,8,10,12,13],[1,4,9,10,12,13,14],[1,5,6,8,9,11,13],[1,5,7,8,9,10,12],[2,3,6,8,9,10,12],[2,3,7,9,10,11,13],[2,4,5,7,9,12,13],[2,4,5,8,11,12,14],[2,4,8,9,11,13,14],[2,5,6,10,11,12,14],[2,6,7,8,9,10,14],[3,4,5,6,10,13,14],[3,4,6,7,9,12,14],[3,4,7,8,10,11,13],[3,5,6,9,11,12,13],[3,5,7,8,12,13,14],[4,5,6,7,8,10,11]]; G[7339]:=Group([(2,10)(3,12)(5,13)(6,9)(7,14)]); # Design 7340: autom. group order 2, simple, residual B[7340]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,7,10,12,14],[1,3,5,9,12,13,14],[1,3,7,8,9,10,11],[1,4,6,8,9,10,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,13],[1,5,6,8,9,11,12],[1,5,7,9,10,13,14],[2,3,6,7,9,12,13],[2,3,9,10,11,12,14],[2,4,5,7,8,12,14],[2,4,5,9,11,13,14],[2,4,8,9,10,12,13],[2,5,6,8,10,11,13],[2,6,7,8,9,11,14],[3,4,5,6,10,11,14],[3,4,6,7,9,11,13],[3,4,7,8,10,13,14],[3,5,6,8,10,12,13],[3,5,7,8,11,12,14],[4,5,6,7,9,10,12]]; G[7340]:=Group([(2,11)(3,12)(5,13)(6,8)(9,14)]); # Design 7341: autom. group order 2, simple B[7341]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,7,10,12,14],[1,3,5,9,12,13,14],[1,3,7,8,9,10,11],[1,4,6,8,9,10,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,13],[1,5,6,8,9,11,12],[1,5,7,9,10,13,14],[2,3,6,7,9,12,13],[2,3,8,10,11,13,14],[2,4,5,7,8,12,14],[2,4,5,9,11,13,14],[2,4,8,9,10,12,13],[2,5,6,9,10,11,12],[2,6,7,8,9,11,14],[3,4,5,6,10,11,14],[3,4,6,7,9,11,13],[3,4,7,9,10,12,14],[3,5,6,8,10,12,13],[3,5,7,8,11,12,14],[4,5,6,7,8,10,13]]; G[7341]:=Group([(2,11)(3,12)(5,13)(6,8)(9,14)]); # Design 7342: autom. group order 2, simple, residual B[7342]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,7,10,12,14],[1,3,5,9,12,13,14],[1,3,7,8,9,10,11],[1,4,6,8,9,10,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,13],[1,5,6,8,9,11,12],[1,5,7,9,10,13,14],[2,3,6,7,9,12,13],[2,3,9,10,11,12,14],[2,4,5,8,10,12,14],[2,4,5,9,11,13,14],[2,4,7,8,9,12,13],[2,5,6,8,10,11,13],[2,6,7,8,9,11,14],[3,4,5,6,7,11,14],[3,4,6,9,10,11,13],[3,4,7,8,10,13,14],[3,5,6,8,10,12,13],[3,5,7,8,11,12,14],[4,5,6,7,9,10,12]]; G[7342]:=Group([(2,11)(3,12)(5,13)(6,8)(9,14)]); # Design 7343: autom. group order 2, simple B[7343]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,7,10,12,14],[1,3,5,9,12,13,14],[1,3,7,8,9,10,11],[1,4,6,8,9,10,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,13],[1,5,6,8,9,11,12],[1,5,7,9,10,13,14],[2,3,6,7,9,12,13],[2,3,8,10,11,13,14],[2,4,5,8,10,12,14],[2,4,5,9,11,13,14],[2,4,7,8,9,12,13],[2,5,6,9,10,11,12],[2,6,7,8,9,11,14],[3,4,5,6,7,11,14],[3,4,6,9,10,11,13],[3,4,7,9,10,12,14],[3,5,6,8,10,12,13],[3,5,7,8,11,12,14],[4,5,6,7,8,10,13]]; G[7343]:=Group([(2,11)(3,12)(5,13)(6,8)(9,14)]); # Design 7344: autom. group order 2, simple B[7344]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,7,9,10,13],[1,3,5,9,12,13,14],[1,3,7,9,10,12,14],[1,4,6,8,9,10,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,13],[1,5,6,8,9,11,12],[1,5,7,8,10,11,14],[2,3,6,8,10,11,12],[2,3,7,9,11,12,14],[2,4,5,7,8,12,14],[2,4,5,9,11,13,14],[2,4,8,9,10,12,13],[2,5,6,10,12,13,14],[2,6,7,8,9,11,14],[3,4,5,6,10,11,14],[3,4,6,7,9,11,13],[3,4,7,8,10,13,14],[3,5,6,7,8,12,13],[3,5,8,9,10,11,13],[4,5,6,7,9,10,12]]; G[7344]:=Group([(2,11)(3,12)(5,13)(6,8)(9,14)]); # Design 7345: autom. group order 2, simple, residual B[7345]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,7,10,12,14],[1,3,5,9,12,13,14],[1,3,7,8,9,10,11],[1,4,6,8,9,10,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,13],[1,5,6,8,9,11,12],[1,5,7,9,10,13,14],[2,3,6,9,10,12,13],[2,3,7,9,11,12,14],[2,4,5,7,8,12,14],[2,4,5,9,11,13,14],[2,4,8,9,10,12,13],[2,5,6,8,10,11,13],[2,6,7,8,9,11,14],[3,4,5,6,10,11,14],[3,4,6,7,9,11,13],[3,4,7,8,10,13,14],[3,5,6,7,8,12,13],[3,5,8,10,11,12,14],[4,5,6,7,9,10,12]]; G[7345]:=Group([(2,11)(3,12)(5,13)(6,8)(9,14)]); # Design 7346: autom. group order 2, simple, residual B[7346]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,9,11,13],[1,3,5,7,8,12,14],[1,3,7,8,10,12,13],[1,4,6,7,9,10,13],[1,4,6,8,11,12,14],[1,4,7,9,11,12,14],[1,5,6,8,9,10,14],[1,5,9,10,11,12,13],[2,3,6,8,9,11,12],[2,3,7,9,10,11,14],[2,4,5,8,10,12,13],[2,4,5,9,12,13,14],[2,4,7,8,9,10,14],[2,5,6,7,10,11,12],[2,6,7,8,12,13,14],[3,4,5,6,11,13,14],[3,4,6,7,9,12,13],[3,4,8,10,11,13,14],[3,5,6,9,10,12,14],[3,5,7,8,9,11,13],[4,5,6,7,8,10,11]]; G[7346]:=Group([(2,11)(3,12)(5,14)(6,9)]); # Design 7347: autom. group order 2, simple, residual B[7347]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,6,8,10,11,14],[1,3,5,7,9,11,14],[1,3,7,8,9,10,13],[1,4,6,7,8,12,14],[1,4,6,8,9,11,12],[1,4,7,10,12,13,14],[1,5,6,9,11,13,14],[1,5,8,9,10,12,13],[2,3,6,9,12,13,14],[2,3,7,8,9,12,14],[2,4,5,8,11,13,14],[2,4,5,9,10,12,14],[2,4,7,9,10,11,13],[2,5,6,7,8,12,13],[2,6,7,8,9,10,11],[3,4,5,6,8,10,13],[3,4,6,9,11,12,13],[3,4,7,8,11,13,14],[3,5,6,7,10,11,12],[3,5,8,10,11,12,14],[4,5,6,7,9,10,14]]; G[7347]:=Group([(1,11)(2,12)(4,10)(9,14)]); # Design 7348: autom. group order 2, simple, residual B[7348]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,6,8,9,10,11],[1,3,5,7,8,11,14],[1,3,7,9,10,13,14],[1,4,6,7,9,12,14],[1,4,6,9,11,12,14],[1,4,7,8,10,12,13],[1,5,6,8,11,13,14],[1,5,8,9,10,12,13],[2,3,6,8,12,13,14],[2,3,7,8,9,12,14],[2,4,5,8,10,12,14],[2,4,5,9,11,13,14],[2,4,7,10,11,13,14],[2,5,6,7,9,12,13],[2,6,7,8,9,10,11],[3,4,5,6,9,10,13],[3,4,6,8,11,12,13],[3,4,7,8,9,11,13],[3,5,6,7,10,11,12],[3,5,9,10,11,12,14],[4,5,6,7,8,10,14]]; G[7348]:=Group([(1,11)(2,12)(4,10)(8,14)]); # Design 7349: autom. group order 2, simple B[7349]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,12,13,14],[1,3,5,7,12,13,14],[1,3,7,8,9,11,14],[1,4,6,7,9,10,13],[1,4,6,8,9,10,14],[1,4,7,9,11,12,14],[1,5,6,8,10,11,12],[1,5,9,10,11,12,13],[2,3,6,9,11,12,14],[2,3,7,8,9,10,12],[2,4,5,8,10,11,14],[2,4,5,9,12,13,14],[2,4,7,10,11,13,14],[2,5,6,7,9,10,12],[2,6,7,8,9,11,13],[3,4,5,6,9,11,13],[3,4,6,8,11,12,13],[3,4,7,8,10,12,13],[3,5,6,7,10,11,14],[3,5,8,9,10,13,14],[4,5,6,7,8,12,14]]; G[7349]:=Group([(2,11)(3,12)(4,10)(6,9)(7,13)]); # Design 7350: autom. group order 2, simple, residual B[7350]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,9,11,13,14],[1,3,5,7,12,13,14],[1,3,7,8,9,10,14],[1,4,6,7,8,12,14],[1,4,6,9,10,13,14],[1,4,8,9,11,12,13],[1,5,6,8,10,11,12],[1,5,7,9,10,11,12],[2,3,6,9,11,12,14],[2,3,7,9,10,12,13],[2,4,5,8,12,13,14],[2,4,5,9,10,12,14],[2,4,7,8,10,11,13],[2,5,6,7,8,9,11],[2,6,7,8,10,12,14],[3,4,5,6,10,11,14],[3,4,6,7,11,12,13],[3,4,7,8,9,11,14],[3,5,6,8,9,12,13],[3,5,8,10,11,13,14],[4,5,6,7,9,10,13]]; G[7350]:=Group([(2,11)(3,12)(4,10)(6,9)]); # Design 7351: autom. group order 2, simple, residual B[7351]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,11,13,14],[1,3,5,8,12,13,14],[1,3,7,8,9,10,14],[1,4,6,7,8,12,14],[1,4,6,7,9,10,13],[1,4,9,11,12,13,14],[1,5,6,8,10,11,12],[1,5,7,9,10,11,12],[2,3,6,7,9,11,12],[2,3,8,9,10,12,13],[2,4,5,7,12,13,14],[2,4,5,9,10,12,14],[2,4,7,8,10,11,13],[2,5,6,8,9,11,14],[2,6,7,8,10,12,14],[3,4,5,6,10,11,14],[3,4,6,8,11,12,13],[3,4,7,8,9,11,14],[3,5,6,7,9,12,13],[3,5,7,10,11,13,14],[4,5,6,8,9,10,13]]; G[7351]:=Group([(2,11)(3,12)(4,10)(6,9)]); # Design 7352: autom. group order 2, simple, residual B[7352]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,9,11,13],[1,3,5,8,12,13,14],[1,3,7,8,9,10,14],[1,4,6,7,8,12,14],[1,4,6,7,9,10,13],[1,4,9,11,12,13,14],[1,5,6,8,10,11,12],[1,5,7,9,10,11,12],[2,3,6,8,9,11,12],[2,3,7,9,10,12,13],[2,4,5,7,8,12,13],[2,4,5,9,10,12,14],[2,4,8,10,11,13,14],[2,5,6,7,9,11,14],[2,6,7,8,10,12,14],[3,4,5,6,10,11,14],[3,4,6,7,11,12,13],[3,4,7,8,9,11,14],[3,5,6,9,12,13,14],[3,5,7,8,10,11,13],[4,5,6,8,9,10,13]]; G[7352]:=Group([(2,11)(3,12)(4,10)(6,9)]); # Design 7353: autom. group order 2, simple, residual B[7353]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,9,10,13,14],[1,3,5,9,10,12,14],[1,3,7,8,11,12,14],[1,4,6,7,9,11,13],[1,4,6,9,11,12,14],[1,4,7,8,10,12,13],[1,5,6,7,8,9,12],[1,5,8,10,11,13,14],[2,3,6,7,12,13,14],[2,3,7,8,9,11,14],[2,4,5,8,11,12,13],[2,4,5,9,12,13,14],[2,4,7,8,9,10,14],[2,5,6,7,10,11,12],[2,6,8,9,10,11,12],[3,4,5,6,10,11,14],[3,4,6,8,12,13,14],[3,4,7,9,10,11,13],[3,5,6,8,9,11,13],[3,5,7,9,10,12,13],[4,5,6,7,8,10,14]]; G[7353]:=Group([(1,12)(3,11)(4,10)(5,6)]); # Design 7354: autom. group order 2, simple, residual B[7354]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,9,11,13],[1,3,5,8,12,13,14],[1,3,7,8,9,10,14],[1,4,6,7,9,10,13],[1,4,6,8,11,12,14],[1,4,7,9,11,12,14],[1,5,6,7,8,10,12],[1,5,9,10,11,12,13],[2,3,6,9,10,11,12],[2,3,7,9,12,13,14],[2,4,5,7,10,11,14],[2,4,5,8,10,12,13],[2,4,7,8,9,12,13],[2,5,6,8,9,11,14],[2,6,7,8,10,12,14],[3,4,5,6,9,12,14],[3,4,6,7,8,11,13],[3,4,8,10,11,13,14],[3,5,6,7,11,12,13],[3,5,7,8,9,10,11],[4,5,6,9,10,13,14]]; G[7354]:=Group([(2,11)(3,12)(5,14)(6,9)]); # Design 7355: autom. group order 2, simple, residual B[7355]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,9,11,13],[1,3,5,8,12,13,14],[1,3,7,8,9,10,14],[1,4,6,7,9,10,13],[1,4,6,8,11,12,14],[1,4,7,9,11,12,14],[1,5,6,7,8,10,12],[1,5,9,10,11,12,13],[2,3,6,8,9,11,12],[2,3,7,10,11,12,13],[2,4,5,7,8,12,13],[2,4,5,9,10,12,14],[2,4,8,9,10,13,14],[2,5,6,7,9,11,14],[2,6,7,8,10,12,14],[3,4,5,6,10,11,14],[3,4,6,7,9,12,13],[3,4,7,8,11,13,14],[3,5,6,9,12,13,14],[3,5,7,8,9,10,11],[4,5,6,8,10,11,13]]; G[7355]:=Group([(2,11)(3,12)(5,14)(6,9)]); # Design 7356: autom. group order 2, simple B[7356]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,11,12],[1,3,5,9,12,13,14],[1,3,7,8,10,11,14],[1,4,6,7,9,11,14],[1,4,6,8,10,12,13],[1,4,7,9,10,13,14],[1,5,6,7,9,10,12],[1,5,8,11,12,13,14],[2,3,6,9,11,13,14],[2,3,7,8,10,12,14],[2,4,5,7,12,13,14],[2,4,5,8,9,10,14],[2,4,9,10,11,12,13],[2,5,6,7,10,11,13],[2,6,7,8,9,12,14],[3,4,5,6,11,12,14],[3,4,6,7,8,12,13],[3,4,7,8,9,11,13],[3,5,6,8,9,10,13],[3,5,7,9,10,11,12],[4,5,6,8,10,11,14]]; G[7356]:=Group([(1,11)(2,14)(3,6)(7,12)(9,10)]); # Design 7357: autom. group order 2, simple, residual B[7357]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,6,9,10,11,13],[1,3,5,11,12,13,14],[1,3,7,8,9,11,14],[1,4,6,7,9,11,13],[1,4,6,8,10,12,14],[1,4,7,9,10,12,14],[1,5,6,7,8,11,12],[1,5,8,9,10,12,13],[2,3,6,8,9,10,12],[2,3,7,10,11,12,13],[2,4,5,7,8,12,13],[2,4,5,9,11,12,14],[2,4,8,9,11,13,14],[2,5,6,7,9,10,14],[2,6,7,8,11,12,14],[3,4,5,6,10,11,14],[3,4,6,7,9,12,13],[3,4,7,8,10,13,14],[3,5,6,9,12,13,14],[3,5,7,8,9,10,11],[4,5,6,8,10,11,13]]; G[7357]:=Group([(2,10)(3,12)(5,14)(6,9)]); # Design 7358: autom. group order 2, simple, residual B[7358]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,9,11,14],[1,2,6,9,10,13,14],[1,3,5,10,12,13,14],[1,3,7,8,11,12,14],[1,4,6,8,9,11,14],[1,4,6,11,12,13,14],[1,4,7,8,9,10,12],[1,5,6,7,8,12,13],[1,5,7,9,10,11,13],[2,3,6,7,9,12,14],[2,3,7,8,11,13,14],[2,4,5,8,11,12,13],[2,4,5,9,12,13,14],[2,4,7,8,10,13,14],[2,5,6,7,10,11,12],[2,6,8,9,10,11,12],[3,4,5,6,10,11,14],[3,4,6,7,9,12,13],[3,4,7,9,10,11,13],[3,5,6,8,9,11,13],[3,5,8,9,10,12,14],[4,5,6,7,8,10,14]]; G[7358]:=Group([(1,12)(3,11)(4,10)(5,6)]); # Design 7359: autom. group order 2, simple, residual B[7359]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,9,10,13,14],[1,3,5,9,10,12,14],[1,3,7,8,11,12,14],[1,4,6,8,11,13,14],[1,4,6,9,11,12,14],[1,4,7,8,10,12,13],[1,5,6,7,8,9,12],[1,5,7,9,10,11,13],[2,3,6,7,12,13,14],[2,3,7,8,9,11,14],[2,4,5,8,11,12,13],[2,4,5,9,12,13,14],[2,4,7,8,9,10,14],[2,5,6,7,10,11,12],[2,6,8,9,10,11,12],[3,4,5,6,10,11,14],[3,4,6,7,9,12,13],[3,4,7,9,10,11,13],[3,5,6,8,9,11,13],[3,5,8,10,12,13,14],[4,5,6,7,8,10,14]]; G[7359]:=Group([(1,12)(3,11)(4,10)(5,6)]); # Design 7360: autom. group order 2, simple, residual B[7360]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,13,14],[1,3,5,8,9,12,14],[1,3,8,10,11,12,13],[1,4,6,7,8,12,14],[1,4,6,8,9,11,13],[1,4,7,11,12,13,14],[1,5,6,7,9,10,12],[1,5,7,9,10,11,14],[2,3,6,7,8,11,14],[2,3,7,9,11,12,14],[2,4,5,7,10,12,13],[2,4,5,9,11,13,14],[2,4,8,9,10,12,14],[2,5,6,8,10,11,12],[2,6,7,8,9,12,13],[3,4,5,6,12,13,14],[3,4,6,7,9,10,11],[3,4,7,8,9,10,13],[3,5,6,9,11,12,13],[3,5,7,8,10,13,14],[4,5,6,8,10,11,14]]; G[7360]:=Group([(1,10)(2,13)(4,8)(5,7)(6,14)(11,12)]); # Design 7361: autom. group order 2, simple B[7361]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,9,10,13,14],[1,3,5,9,10,12,14],[1,3,8,11,12,13,14],[1,4,6,7,9,11,13],[1,4,6,9,11,12,14],[1,4,7,8,10,12,13],[1,5,6,7,8,9,12],[1,5,7,8,10,11,14],[2,3,6,7,12,13,14],[2,3,7,8,9,11,14],[2,4,5,8,11,12,13],[2,4,5,9,12,13,14],[2,4,7,8,9,10,14],[2,5,6,7,10,11,12],[2,6,8,9,10,11,12],[3,4,5,6,10,11,14],[3,4,6,7,8,12,14],[3,4,7,9,10,11,13],[3,5,6,8,9,11,13],[3,5,7,9,10,12,13],[4,5,6,8,10,13,14]]; G[7361]:=Group([(1,12)(3,11)(4,10)(5,6)]); # Design 7362: autom. group order 2, simple B[7362]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,9,11,14],[1,2,6,9,10,13,14],[1,3,5,10,12,13,14],[1,3,8,9,11,12,14],[1,4,6,7,8,11,14],[1,4,6,11,12,13,14],[1,4,7,8,9,10,12],[1,5,6,7,8,12,13],[1,5,7,9,10,11,13],[2,3,6,7,9,12,14],[2,3,7,8,11,13,14],[2,4,5,8,11,12,13],[2,4,5,9,12,13,14],[2,4,7,8,10,13,14],[2,5,6,7,10,11,12],[2,6,8,9,10,11,12],[3,4,5,6,10,11,14],[3,4,6,7,9,12,13],[3,4,7,9,10,11,13],[3,5,6,8,9,11,13],[3,5,7,8,10,12,14],[4,5,6,8,9,10,14]]; G[7362]:=Group([(1,12)(3,11)(4,10)(5,6)]); # Design 7363: autom. group order 2, simple B[7363]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,9,10,13,14],[1,3,5,9,10,12,14],[1,3,8,11,12,13,14],[1,4,6,7,8,11,14],[1,4,6,9,11,12,14],[1,4,7,8,10,12,13],[1,5,6,7,8,9,12],[1,5,7,9,10,11,13],[2,3,6,7,12,13,14],[2,3,7,8,9,11,14],[2,4,5,8,11,12,13],[2,4,5,9,12,13,14],[2,4,7,8,9,10,14],[2,5,6,7,10,11,12],[2,6,8,9,10,11,12],[3,4,5,6,10,11,14],[3,4,6,7,9,12,13],[3,4,7,9,10,11,13],[3,5,6,8,9,11,13],[3,5,7,8,10,12,14],[4,5,6,8,10,13,14]]; G[7363]:=Group([(1,12)(3,11)(4,10)(5,6)]); # Design 7364: autom. group order 2, simple, residual B[7364]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,11,13],[1,3,5,7,12,13,14],[1,3,7,8,9,10,14],[1,4,6,7,8,12,14],[1,4,6,8,9,10,13],[1,4,9,11,12,13,14],[1,5,6,8,10,11,12],[1,5,7,9,10,11,12],[2,3,6,7,9,11,12],[2,3,8,9,10,12,13],[2,4,5,7,8,12,13],[2,4,5,9,10,12,14],[2,4,7,10,11,13,14],[2,5,6,8,9,11,14],[2,6,7,8,10,12,14],[3,4,5,6,10,11,14],[3,4,6,8,11,12,13],[3,4,7,8,9,11,14],[3,5,6,9,12,13,14],[3,5,7,8,10,11,13],[4,5,6,7,9,10,13]]; G[7364]:=Group([(2,11)(3,12)(4,10)(6,9)]); # Design 7365: autom. group order 2, simple, residual B[7365]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,8,12,13],[1,3,5,7,8,12,14],[1,3,7,9,11,13,14],[1,4,6,7,9,10,13],[1,4,6,8,9,10,14],[1,4,8,9,11,12,13],[1,5,6,10,11,12,14],[1,5,7,9,10,11,12],[2,3,6,7,9,11,12],[2,3,9,10,12,13,14],[2,4,5,7,10,11,13],[2,4,5,9,12,13,14],[2,4,7,8,10,11,14],[2,5,6,8,9,10,12],[2,6,7,8,9,11,14],[3,4,5,6,9,11,14],[3,4,6,8,11,12,13],[3,4,7,8,10,12,14],[3,5,6,8,10,11,13],[3,5,7,8,9,10,13],[4,5,6,7,12,13,14]]; G[7365]:=Group([(2,11)(3,12)(4,10)(6,9)(8,14)]); # Design 7366: autom. group order 2, simple B[7366]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,8,12,13],[1,3,5,7,8,12,14],[1,3,7,9,11,13,14],[1,4,6,7,9,10,13],[1,4,6,8,9,10,14],[1,4,8,9,11,12,13],[1,5,6,10,11,12,14],[1,5,7,9,10,11,12],[2,3,6,9,11,12,13],[2,3,7,9,10,12,14],[2,4,5,7,10,11,13],[2,4,5,9,12,13,14],[2,4,7,8,10,11,14],[2,5,6,8,9,10,12],[2,6,7,8,9,11,14],[3,4,5,6,9,11,14],[3,4,6,7,8,11,12],[3,4,8,10,12,13,14],[3,5,6,8,10,11,13],[3,5,7,8,9,10,13],[4,5,6,7,12,13,14]]; G[7366]:=Group([(2,11)(3,12)(4,10)(6,9)(8,14)]); # Design 7367: autom. group order 2, simple, residual B[7367]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,7,9,12,14],[1,3,5,7,12,13,14],[1,3,7,8,10,13,14],[1,4,6,7,9,10,14],[1,4,6,8,11,12,13],[1,4,8,9,11,13,14],[1,5,6,9,10,11,12],[1,5,7,8,10,11,12],[2,3,6,11,12,13,14],[2,3,7,8,9,11,12],[2,4,5,7,8,11,14],[2,4,5,10,12,13,14],[2,4,7,9,10,12,13],[2,5,6,8,9,10,13],[2,6,7,8,10,11,14],[3,4,5,6,10,11,14],[3,4,6,8,9,12,14],[3,4,7,9,10,11,13],[3,5,6,7,9,11,13],[3,5,8,9,10,12,14],[4,5,6,7,8,12,13]]; G[7367]:=Group([(2,12)(3,11)(4,10)(7,9)]); # Design 7368: autom. group order 2, simple, residual B[7368]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,11,13],[1,3,5,7,12,13,14],[1,3,7,8,9,10,14],[1,4,6,8,9,10,13],[1,4,6,8,11,12,14],[1,4,7,9,11,12,14],[1,5,6,7,8,10,12],[1,5,9,10,11,12,13],[2,3,6,7,9,11,12],[2,3,8,10,11,12,13],[2,4,5,7,8,12,13],[2,4,5,9,10,12,14],[2,4,7,9,10,13,14],[2,5,6,8,9,11,14],[2,6,7,8,10,12,14],[3,4,5,6,10,11,14],[3,4,6,8,9,12,13],[3,4,7,8,11,13,14],[3,5,6,9,12,13,14],[3,5,7,8,9,10,11],[4,5,6,7,10,11,13]]; G[7368]:=Group([(2,11)(3,12)(5,14)(6,9)]); # Design 7369: autom. group order 2, simple, residual B[7369]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,11,13],[1,3,5,7,8,12,14],[1,3,7,8,10,12,13],[1,4,6,8,9,10,13],[1,4,6,8,11,12,14],[1,4,7,9,11,12,14],[1,5,6,7,9,10,14],[1,5,9,10,11,12,13],[2,3,6,7,9,11,12],[2,3,8,9,10,11,14],[2,4,5,7,10,12,13],[2,4,5,9,12,13,14],[2,4,7,8,9,10,14],[2,5,6,8,10,11,12],[2,6,7,8,12,13,14],[3,4,5,6,11,13,14],[3,4,6,8,9,12,13],[3,4,7,10,11,13,14],[3,5,6,9,10,12,14],[3,5,7,8,9,11,13],[4,5,6,7,8,10,11]]; G[7369]:=Group([(2,11)(3,12)(5,14)(6,9)]); # Design 7370: autom. group order 2, simple, residual B[7370]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,8,12,13],[1,3,5,7,9,11,14],[1,3,7,9,10,13,14],[1,4,6,8,9,10,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,13],[1,5,6,7,8,10,12],[1,5,8,9,10,11,12],[2,3,6,7,9,11,12],[2,3,8,9,10,12,13],[2,4,5,7,10,12,14],[2,4,5,9,12,13,14],[2,4,7,8,10,11,14],[2,5,6,9,10,11,13],[2,6,7,8,9,11,14],[3,4,5,6,8,11,13],[3,4,6,8,9,12,14],[3,4,7,8,10,11,13],[3,5,6,10,11,12,14],[3,5,7,8,12,13,14],[4,5,6,7,9,10,13]]; G[7370]:=Group([(2,11)(3,12)(5,13)(6,9)(8,14)]); # Design 7371: autom. group order 2, simple, residual B[7371]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,8,12,13],[1,3,5,7,9,11,14],[1,3,7,9,10,13,14],[1,4,6,8,9,10,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,13],[1,5,6,7,8,10,12],[1,5,8,9,10,11,12],[2,3,6,7,9,11,12],[2,3,8,10,11,12,14],[2,4,5,7,10,12,14],[2,4,5,9,12,13,14],[2,4,7,8,9,10,13],[2,5,6,9,10,11,13],[2,6,7,8,9,11,14],[3,4,5,6,8,11,13],[3,4,6,8,9,12,14],[3,4,7,8,10,11,13],[3,5,6,9,10,12,13],[3,5,7,8,12,13,14],[4,5,6,7,10,11,14]]; G[7371]:=Group([(2,11)(3,12)(5,13)(6,9)(8,14)]); # Design 7372: autom. group order 2, simple, residual B[7372]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,8,12,13],[1,3,5,7,9,11,14],[1,3,7,8,10,12,14],[1,4,6,8,9,10,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,13],[1,5,6,7,9,10,13],[1,5,8,9,10,11,12],[2,3,6,7,9,11,12],[2,3,9,10,11,13,14],[2,4,5,7,10,12,14],[2,4,5,9,12,13,14],[2,4,7,8,9,10,13],[2,5,6,8,10,11,12],[2,6,7,8,9,11,14],[3,4,5,6,8,11,13],[3,4,6,8,9,12,14],[3,4,7,8,10,11,13],[3,5,6,9,10,12,13],[3,5,7,8,12,13,14],[4,5,6,7,10,11,14]]; G[7372]:=Group([(2,11)(3,12)(5,13)(6,9)(8,14)]); # Design 7373: autom. group order 2, simple B[7373]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,8,12,13],[1,3,5,7,9,11,14],[1,3,7,9,10,13,14],[1,4,6,8,9,10,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,13],[1,5,6,7,8,10,12],[1,5,8,9,10,11,12],[2,3,6,9,10,11,12],[2,3,7,8,9,12,13],[2,4,5,7,10,12,14],[2,4,5,9,12,13,14],[2,4,7,8,10,11,14],[2,5,6,9,10,11,13],[2,6,7,8,9,11,14],[3,4,5,6,8,11,13],[3,4,6,8,9,12,14],[3,4,7,8,10,11,13],[3,5,6,7,11,12,14],[3,5,8,10,12,13,14],[4,5,6,7,9,10,13]]; G[7373]:=Group([(2,11)(3,12)(5,13)(6,9)(8,14)]); # Design 7374: autom. group order 2, simple, residual B[7374]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,8,12,13],[1,3,5,7,9,11,14],[1,3,7,9,10,13,14],[1,4,6,8,9,10,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,13],[1,5,6,7,8,10,12],[1,5,8,9,10,11,12],[2,3,6,9,10,11,12],[2,3,7,8,11,12,14],[2,4,5,7,10,12,14],[2,4,5,9,12,13,14],[2,4,7,8,9,10,13],[2,5,6,9,10,11,13],[2,6,7,8,9,11,14],[3,4,5,6,8,11,13],[3,4,6,8,9,12,14],[3,4,7,8,10,11,13],[3,5,6,7,9,12,13],[3,5,8,10,12,13,14],[4,5,6,7,10,11,14]]; G[7374]:=Group([(2,11)(3,12)(5,13)(6,9)(8,14)]); # Design 7375: autom. group order 2, simple, residual B[7375]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,11,13],[1,3,5,7,12,13,14],[1,3,7,8,9,10,14],[1,4,6,8,9,10,13],[1,4,6,8,11,12,14],[1,4,7,9,11,12,14],[1,5,6,7,8,10,12],[1,5,9,10,11,12,13],[2,3,6,9,10,11,12],[2,3,8,9,12,13,14],[2,4,5,7,10,12,13],[2,4,5,8,10,11,14],[2,4,7,8,9,12,13],[2,5,6,7,9,11,14],[2,6,7,8,10,12,14],[3,4,5,6,9,12,14],[3,4,6,7,8,11,13],[3,4,7,10,11,13,14],[3,5,6,8,11,12,13],[3,5,7,8,9,10,11],[4,5,6,9,10,13,14]]; G[7375]:=Group([(2,11)(3,12)(5,14)(6,9)]); # Design 7376: autom. group order 2, simple, residual B[7376]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,7,8,12,13],[1,3,5,7,12,13,14],[1,3,7,8,9,11,14],[1,4,6,9,10,13,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,14],[1,5,6,8,10,11,12],[1,5,7,10,11,12,14],[2,3,6,8,10,11,14],[2,3,7,9,10,12,13],[2,4,5,7,11,13,14],[2,4,5,9,10,12,14],[2,4,8,11,12,13,14],[2,5,6,7,9,10,11],[2,6,7,8,9,12,14],[3,4,5,6,8,12,14],[3,4,6,7,9,11,12],[3,4,7,8,10,11,13],[3,5,6,9,11,13,14],[3,5,8,9,10,12,13],[4,5,6,7,8,10,13]]; G[7376]:=Group([(2,12)(3,11)(4,10)(7,8)(9,14)]); # Design 7377: autom. group order 2, simple B[7377]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,7,8,12,13],[1,3,5,7,12,13,14],[1,3,7,8,9,11,14],[1,4,6,9,10,13,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,14],[1,5,6,8,10,11,12],[1,5,7,10,11,12,14],[2,3,6,9,11,12,14],[2,3,8,10,11,13,14],[2,4,5,7,11,13,14],[2,4,5,9,10,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,10,11],[2,6,7,8,9,12,14],[3,4,5,6,8,12,14],[3,4,6,7,8,10,11],[3,4,7,9,11,12,13],[3,5,6,7,9,10,13],[3,5,8,9,10,12,13],[4,5,6,8,11,13,14]]; G[7377]:=Group([(2,12)(3,11)(4,10)(7,8)(9,14)]); # Design 7378: autom. group order 2, simple B[7378]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,7,8,12,13],[1,3,5,7,12,13,14],[1,3,7,8,9,11,14],[1,4,6,9,10,13,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,14],[1,5,6,8,10,11,12],[1,5,7,10,11,12,14],[2,3,6,8,10,11,14],[2,3,9,11,12,13,14],[2,4,5,7,11,13,14],[2,4,5,9,10,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,10,11],[2,6,7,8,9,12,14],[3,4,5,6,8,12,14],[3,4,6,7,9,11,12],[3,4,7,8,10,11,13],[3,5,6,7,9,10,13],[3,5,8,9,10,12,13],[4,5,6,8,11,13,14]]; G[7378]:=Group([(2,12)(3,11)(4,10)(7,8)(9,14)]); # Design 7379: autom. group order 2, simple, residual B[7379]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,9,13,14],[1,3,5,7,12,13,14],[1,3,8,9,11,12,13],[1,4,6,7,8,10,11],[1,4,6,9,10,12,13],[1,4,7,8,9,12,14],[1,5,6,8,9,11,14],[1,5,7,10,11,12,14],[2,3,6,7,9,11,12],[2,3,8,9,10,12,14],[2,4,5,7,8,12,13],[2,4,5,9,11,13,14],[2,4,7,9,10,11,14],[2,5,6,8,10,12,14],[2,6,7,8,11,12,13],[3,4,5,6,11,12,14],[3,4,6,8,11,13,14],[3,4,7,8,10,13,14],[3,5,6,7,8,9,10],[3,5,7,9,10,11,13],[4,5,6,9,10,12,13]]; G[7379]:=Group([(2,14)(3,7)(4,12)(6,13)(8,11)(9,10)]); # Design 7380: autom. group order 2, simple B[7380]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,9,11,14],[1,3,5,7,12,13,14],[1,3,8,9,10,13,14],[1,4,6,7,8,9,14],[1,4,6,8,11,12,13],[1,4,9,11,12,13,14],[1,5,6,7,8,10,12],[1,5,7,9,10,11,12],[2,3,6,8,9,11,12],[2,3,7,8,11,12,14],[2,4,5,7,11,13,14],[2,4,5,9,10,12,14],[2,4,7,8,9,10,13],[2,5,6,8,12,13,14],[2,6,7,9,10,12,13],[3,4,5,6,9,12,13],[3,4,6,7,10,11,13],[3,4,7,8,10,12,14],[3,5,6,9,10,11,14],[3,5,7,8,9,11,13],[4,5,6,8,10,11,14]]; G[7380]:=Group([(2,11)(3,12)(5,13)(6,9)(7,14)]); # Design 7381: autom. group order 2, simple, residual B[7381]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,9,10,12],[1,3,5,7,12,13,14],[1,3,8,9,10,11,14],[1,4,6,7,8,10,14],[1,4,6,9,11,12,13],[1,4,8,11,12,13,14],[1,5,6,7,8,11,12],[1,5,7,9,10,13,14],[2,3,6,9,12,13,14],[2,3,7,10,11,12,14],[2,4,5,7,11,13,14],[2,4,5,8,9,12,14],[2,4,7,8,10,12,13],[2,5,6,8,10,11,13],[2,6,7,8,9,11,14],[3,4,5,6,10,11,14],[3,4,6,7,9,11,13],[3,4,7,8,9,10,13],[3,5,6,8,10,12,13],[3,5,7,8,9,11,12],[4,5,6,9,10,12,14]]; G[7381]:=Group([(2,11)(3,12)(5,13)(6,8)(7,14)]); # Design 7382: autom. group order 2, simple, residual B[7382]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,9,10,12],[1,3,5,7,12,13,14],[1,3,8,9,10,11,14],[1,4,6,7,8,10,14],[1,4,6,9,11,12,13],[1,4,8,11,12,13,14],[1,5,6,7,8,11,12],[1,5,7,9,10,13,14],[2,3,6,9,12,13,14],[2,3,7,10,11,12,14],[2,4,5,7,11,13,14],[2,4,5,8,10,12,14],[2,4,7,8,9,12,13],[2,5,6,8,10,11,13],[2,6,7,8,9,11,14],[3,4,5,6,9,11,14],[3,4,6,7,10,11,13],[3,4,7,8,9,10,13],[3,5,6,8,10,12,13],[3,5,7,8,9,11,12],[4,5,6,9,10,12,14]]; G[7382]:=Group([(2,11)(3,12)(5,13)(6,8)(7,14)]); # Design 7383: autom. group order 2, simple, residual B[7383]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,9,10,12],[1,3,5,7,12,13,14],[1,3,8,9,10,11,14],[1,4,6,7,8,10,14],[1,4,6,9,11,12,13],[1,4,8,11,12,13,14],[1,5,6,7,8,11,12],[1,5,7,9,10,13,14],[2,3,6,10,12,13,14],[2,3,7,9,11,12,14],[2,4,5,7,11,13,14],[2,4,5,8,10,12,14],[2,4,7,8,9,12,13],[2,5,6,8,10,11,13],[2,6,7,8,9,11,14],[3,4,5,6,9,11,14],[3,4,6,7,10,11,13],[3,4,7,8,9,10,13],[3,5,6,8,9,12,13],[3,5,7,8,10,11,12],[4,5,6,9,10,12,14]]; G[7383]:=Group([(2,11)(3,12)(5,13)(6,8)(7,14)]); # Design 7384: autom. group order 2, simple B[7384]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,9,10,12],[1,3,5,7,12,13,14],[1,3,8,9,10,11,14],[1,4,6,7,8,10,14],[1,4,6,9,11,12,13],[1,4,8,11,12,13,14],[1,5,6,7,8,11,12],[1,5,7,9,10,13,14],[2,3,6,9,12,13,14],[2,3,7,8,10,11,13],[2,4,5,7,11,13,14],[2,4,5,8,9,12,14],[2,4,7,8,10,12,13],[2,5,6,10,11,12,14],[2,6,7,8,9,11,14],[3,4,5,6,10,11,14],[3,4,6,7,9,11,13],[3,4,7,9,10,12,14],[3,5,6,8,10,12,13],[3,5,7,8,9,11,12],[4,5,6,8,9,10,13]]; G[7384]:=Group([(2,11)(3,12)(5,13)(6,8)(7,14)]); # Design 7385: autom. group order 2, simple B[7385]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,9,10,12],[1,3,5,7,12,13,14],[1,3,8,9,10,11,14],[1,4,6,7,8,10,14],[1,4,6,9,11,12,13],[1,4,8,11,12,13,14],[1,5,6,7,8,11,12],[1,5,7,9,10,13,14],[2,3,6,9,12,13,14],[2,3,7,8,10,11,13],[2,4,5,7,11,13,14],[2,4,5,8,10,12,14],[2,4,7,8,9,12,13],[2,5,6,10,11,12,14],[2,6,7,8,9,11,14],[3,4,5,6,9,11,14],[3,4,6,7,10,11,13],[3,4,7,9,10,12,14],[3,5,6,8,10,12,13],[3,5,7,8,9,11,12],[4,5,6,8,9,10,13]]; G[7385]:=Group([(2,11)(3,12)(5,13)(6,8)(7,14)]); # Design 7386: autom. group order 2, simple, residual B[7386]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,7,9,10,14],[1,3,5,10,12,13,14],[1,3,7,8,9,11,12],[1,4,6,7,9,11,13],[1,4,6,11,12,13,14],[1,4,7,8,10,12,14],[1,5,6,7,8,12,13],[1,5,8,9,10,11,14],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,5,7,9,12,14],[2,4,5,8,11,12,13],[2,4,7,8,10,13,14],[2,5,6,7,10,11,12],[2,6,8,9,10,11,12],[3,4,5,6,10,11,14],[3,4,6,8,9,12,14],[3,4,7,9,10,11,13],[3,5,6,7,8,11,14],[3,5,7,9,10,12,13],[4,5,6,8,9,10,13]]; G[7386]:=Group([(1,12)(3,11)(4,10)(5,6)]); # Design 7387: autom. group order 2, simple, residual B[7387]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,7,10,13,14],[1,3,5,9,10,12,14],[1,3,7,8,11,12,13],[1,4,6,7,9,11,13],[1,4,6,9,11,12,14],[1,4,7,8,10,12,14],[1,5,6,7,8,9,12],[1,5,8,10,11,13,14],[2,3,6,9,12,13,14],[2,3,7,8,9,11,14],[2,4,5,7,12,13,14],[2,4,5,8,11,12,13],[2,4,7,8,9,10,14],[2,5,6,7,10,11,12],[2,6,8,9,10,11,12],[3,4,5,6,10,11,14],[3,4,6,8,12,13,14],[3,4,7,9,10,11,13],[3,5,6,7,8,11,14],[3,5,7,9,10,12,13],[4,5,6,8,9,10,13]]; G[7387]:=Group([(1,12)(3,11)(4,10)(5,6)]); # Design 7388: autom. group order 2, simple, residual B[7388]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,10,13],[1,3,5,8,10,12,14],[1,3,7,9,11,12,14],[1,4,6,7,8,11,12],[1,4,6,9,11,13,14],[1,4,8,9,10,12,13],[1,5,6,7,9,12,14],[1,5,7,8,10,11,13],[2,3,6,7,8,12,13],[2,3,7,8,9,11,14],[2,4,5,7,11,12,13],[2,4,5,9,12,13,14],[2,4,7,8,9,10,14],[2,5,6,10,11,12,14],[2,6,8,9,10,11,12],[3,4,5,6,9,10,11],[3,4,6,8,12,13,14],[3,4,7,10,11,13,14],[3,5,6,8,9,11,13],[3,5,7,9,10,12,13],[4,5,6,7,8,10,14]]; G[7388]:=Group([(1,12)(3,11)(4,10)(5,6)(7,14)]); # Design 7389: autom. group order 2, simple, residual B[7389]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,7,9,10,14],[1,3,5,10,12,13,14],[1,3,7,9,11,12,13],[1,4,6,7,11,12,14],[1,4,6,8,9,11,13],[1,4,8,9,10,12,14],[1,5,6,7,8,12,13],[1,5,7,8,10,11,14],[2,3,6,7,9,12,14],[2,3,7,8,11,13,14],[2,4,5,7,8,11,12],[2,4,5,9,12,13,14],[2,4,7,8,10,13,14],[2,5,6,10,11,12,13],[2,6,8,9,10,11,12],[3,4,5,6,10,11,14],[3,4,6,8,12,13,14],[3,4,7,9,10,11,13],[3,5,6,8,9,11,14],[3,5,7,8,9,10,12],[4,5,6,7,9,10,13]]; G[7389]:=Group([(1,12)(3,11)(4,10)(5,6)(7,13)]); # Design 7390: autom. group order 2, simple B[7390]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,7,9,10,14],[1,3,5,10,12,13,14],[1,3,7,8,9,11,12],[1,4,6,7,9,11,13],[1,4,6,11,12,13,14],[1,4,8,9,10,12,14],[1,5,6,7,8,12,13],[1,5,7,8,10,11,14],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,5,7,9,12,14],[2,4,5,8,11,12,13],[2,4,7,8,10,13,14],[2,5,6,7,10,11,12],[2,6,8,9,10,11,12],[3,4,5,6,10,11,14],[3,4,6,7,8,12,14],[3,4,7,9,10,11,13],[3,5,6,8,9,11,14],[3,5,7,9,10,12,13],[4,5,6,8,9,10,13]]; G[7390]:=Group([(1,12)(3,11)(4,10)(5,6)]); # Design 7391: autom. group order 2, simple B[7391]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,7,10,13,14],[1,3,5,9,10,12,14],[1,3,7,8,11,12,13],[1,4,6,7,9,11,13],[1,4,6,9,11,12,14],[1,4,8,10,12,13,14],[1,5,6,7,8,9,12],[1,5,7,8,10,11,14],[2,3,6,9,12,13,14],[2,3,7,8,9,11,14],[2,4,5,7,12,13,14],[2,4,5,8,11,12,13],[2,4,7,8,9,10,14],[2,5,6,7,10,11,12],[2,6,8,9,10,11,12],[3,4,5,6,10,11,14],[3,4,6,7,8,12,14],[3,4,7,9,10,11,13],[3,5,6,8,11,13,14],[3,5,7,9,10,12,13],[4,5,6,8,9,10,13]]; G[7391]:=Group([(1,12)(3,11)(4,10)(5,6)]); # Design 7392: autom. group order 2, simple, residual B[7392]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,10,11,13,14],[1,2,6,7,8,11,12],[1,3,5,8,9,12,13],[1,3,7,9,12,13,14],[1,4,6,8,11,13,14],[1,4,6,9,10,12,13],[1,4,7,8,9,10,11],[1,5,6,7,8,12,14],[1,5,7,9,10,11,14],[2,3,6,7,9,11,13],[2,3,7,8,9,10,14],[2,4,5,7,12,13,14],[2,4,5,9,11,12,14],[2,4,7,8,10,12,13],[2,5,6,8,9,11,13],[2,6,8,9,10,12,14],[3,4,5,6,8,10,14],[3,4,6,9,11,12,14],[3,4,7,8,11,13,14],[3,5,6,7,10,11,12],[3,5,8,10,11,12,13],[4,5,6,7,9,10,13]]; G[7392]:=Group([(1,12)(2,11)(4,10)(9,13)]); # Design 7393: autom. group order 2, simple, residual B[7393]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,9,11,12],[1,3,5,8,9,12,14],[1,3,7,8,12,13,14],[1,4,6,8,10,12,14],[1,4,6,9,11,13,14],[1,4,7,9,10,11,14],[1,5,6,7,9,12,13],[1,5,7,8,10,11,13],[2,3,6,7,8,11,14],[2,3,7,9,10,13,14],[2,4,5,7,12,13,14],[2,4,5,11,12,13,14],[2,4,7,8,9,10,12],[2,5,6,8,9,11,14],[2,6,8,9,10,12,13],[3,4,5,6,9,10,13],[3,4,6,8,11,12,13],[3,4,7,8,9,11,13],[3,5,6,7,10,11,12],[3,5,9,10,11,12,14],[4,5,6,7,8,10,14]]; G[7393]:=Group([(1,12)(2,11)(4,10)(8,14)]); # Design 7394: autom. group order 2, simple, residual B[7394]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,10,13],[1,3,5,9,10,12,14],[1,3,8,9,11,12,13],[1,4,6,7,9,11,12],[1,4,6,9,11,13,14],[1,4,7,8,10,12,14],[1,5,6,7,8,12,14],[1,5,7,8,10,11,13],[2,3,6,7,8,12,13],[2,3,7,8,9,11,14],[2,4,5,7,11,12,13],[2,4,5,9,12,13,14],[2,4,7,8,9,10,14],[2,5,6,10,11,12,14],[2,6,8,9,10,11,12],[3,4,5,6,8,10,11],[3,4,6,8,12,13,14],[3,4,7,10,11,13,14],[3,5,6,7,9,11,14],[3,5,7,9,10,12,13],[4,5,6,8,9,10,13]]; G[7394]:=Group([(1,12)(3,11)(4,10)(5,6)(7,14)]); # Design 7395: autom. group order 2, simple, residual B[7395]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,10,13],[1,3,5,9,10,12,14],[1,3,8,9,11,12,13],[1,4,6,7,9,11,12],[1,4,6,8,11,13,14],[1,4,7,8,10,12,14],[1,5,6,7,8,12,14],[1,5,7,9,10,11,13],[2,3,6,7,8,12,13],[2,3,7,8,9,11,14],[2,4,5,7,11,12,13],[2,4,5,9,12,13,14],[2,4,7,8,9,10,14],[2,5,6,10,11,12,14],[2,6,8,9,10,11,12],[3,4,5,6,8,10,11],[3,4,6,9,12,13,14],[3,4,7,10,11,13,14],[3,5,6,7,9,11,14],[3,5,7,8,10,12,13],[4,5,6,8,9,10,13]]; G[7395]:=Group([(1,12)(3,11)(4,10)(5,6)(7,14)]); # Design 7396: autom. group order 2, simple, residual B[7396]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,7,9,10,14],[1,3,5,10,12,13,14],[1,3,8,9,11,12,14],[1,4,6,7,11,12,14],[1,4,6,8,9,11,13],[1,4,7,9,10,12,13],[1,5,6,7,8,12,13],[1,5,7,8,10,11,14],[2,3,6,7,9,12,14],[2,3,7,8,11,13,14],[2,4,5,7,8,11,12],[2,4,5,9,12,13,14],[2,4,7,8,10,13,14],[2,5,6,10,11,12,13],[2,6,8,9,10,11,12],[3,4,5,6,10,11,14],[3,4,6,8,12,13,14],[3,4,7,9,10,11,13],[3,5,6,7,9,11,13],[3,5,7,8,9,10,12],[4,5,6,8,9,10,14]]; G[7396]:=Group([(1,12)(3,11)(4,10)(5,6)(7,13)]); # Design 7397: autom. group order 2, simple, residual B[7397]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,7,9,10,14],[1,3,5,10,12,13,14],[1,3,8,9,11,12,14],[1,4,6,7,11,12,14],[1,4,6,8,11,13,14],[1,4,7,9,10,12,13],[1,5,6,7,8,12,13],[1,5,7,8,9,10,11],[2,3,6,7,9,12,14],[2,3,7,8,11,13,14],[2,4,5,7,8,11,12],[2,4,5,9,12,13,14],[2,4,7,8,10,13,14],[2,5,6,10,11,12,13],[2,6,8,9,10,11,12],[3,4,5,6,10,11,14],[3,4,6,8,9,12,13],[3,4,7,9,10,11,13],[3,5,6,7,9,11,13],[3,5,7,8,10,12,14],[4,5,6,8,9,10,14]]; G[7397]:=Group([(1,12)(3,11)(4,10)(5,6)(7,13)]); # Design 7398: autom. group order 2, simple, residual B[7398]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,8,10,13,14],[1,3,5,7,12,13,14],[1,3,7,8,9,11,14],[1,4,6,7,9,12,13],[1,4,6,9,11,12,13],[1,4,7,8,9,10,14],[1,5,6,8,10,11,12],[1,5,7,10,11,12,14],[2,3,6,7,8,11,12],[2,3,7,9,10,12,13],[2,4,5,7,11,13,14],[2,4,5,9,10,12,14],[2,4,8,11,12,13,14],[2,5,6,7,9,10,11],[2,6,7,8,9,12,14],[3,4,5,6,8,12,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,13],[3,5,6,9,11,13,14],[3,5,8,9,10,12,13],[4,5,6,7,8,10,13]]; G[7398]:=Group([(2,12)(3,11)(4,10)(7,8)(9,14)]); # Design 7399: autom. group order 2, simple, residual B[7399]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,8,10,13,14],[1,3,5,7,12,13,14],[1,3,7,8,9,11,14],[1,4,6,7,9,12,13],[1,4,6,9,11,12,13],[1,4,7,8,9,10,14],[1,5,6,8,10,11,12],[1,5,7,10,11,12,14],[2,3,6,7,8,11,12],[2,3,9,11,12,13,14],[2,4,5,7,11,13,14],[2,4,5,9,10,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,10,11],[2,6,7,8,9,12,14],[3,4,5,6,8,12,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,13],[3,5,6,7,9,10,13],[3,5,8,9,10,12,13],[4,5,6,8,11,13,14]]; G[7399]:=Group([(2,12)(3,11)(4,10)(7,8)(9,14)]); # Design 7400: autom. group order 2, simple B[7400]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,8,12,13,14],[1,3,5,7,12,13,14],[1,3,7,8,9,11,14],[1,4,6,7,9,10,13],[1,4,6,8,11,12,13],[1,4,7,8,9,10,14],[1,5,6,9,10,11,12],[1,5,7,10,11,12,14],[2,3,6,7,9,11,12],[2,3,9,10,11,13,14],[2,4,5,7,11,13,14],[2,4,5,8,10,12,14],[2,4,7,9,10,12,13],[2,5,6,7,8,10,11],[2,6,7,8,9,12,14],[3,4,5,6,9,12,14],[3,4,6,8,10,11,14],[3,4,7,8,11,12,13],[3,5,6,7,8,10,13],[3,5,8,9,10,12,13],[4,5,6,9,11,13,14]]; G[7400]:=Group([(2,12)(3,11)(4,10)(7,9)(8,14)]); # Design 7401: autom. group order 2, simple B[7401]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,8,10,13,14],[1,3,5,7,12,13,14],[1,3,7,8,9,11,14],[1,4,6,7,9,12,13],[1,4,6,9,11,12,13],[1,4,7,8,9,10,14],[1,5,6,8,10,11,12],[1,5,7,10,11,12,14],[2,3,6,9,11,12,14],[2,3,7,8,11,12,13],[2,4,5,7,11,13,14],[2,4,5,9,10,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,10,11],[2,6,7,8,9,12,14],[3,4,5,6,8,12,14],[3,4,6,7,8,10,11],[3,4,9,10,11,13,14],[3,5,6,7,9,10,13],[3,5,8,9,10,12,13],[4,5,6,8,11,13,14]]; G[7401]:=Group([(2,12)(3,11)(4,10)(7,8)(9,14)]); # Design 7402: autom. group order 2, simple B[7402]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,8,12,13,14],[1,3,5,7,12,13,14],[1,3,7,8,9,11,14],[1,4,6,7,9,10,13],[1,4,6,8,11,12,13],[1,4,7,8,9,10,14],[1,5,6,9,10,11,12],[1,5,7,10,11,12,14],[2,3,6,9,10,11,14],[2,3,7,9,11,12,13],[2,4,5,7,11,13,14],[2,4,5,8,10,12,14],[2,4,7,9,10,12,13],[2,5,6,7,8,10,11],[2,6,7,8,9,12,14],[3,4,5,6,9,12,14],[3,4,6,7,8,11,12],[3,4,8,10,11,13,14],[3,5,6,7,8,10,13],[3,5,8,9,10,12,13],[4,5,6,9,11,13,14]]; G[7402]:=Group([(2,12)(3,11)(4,10)(7,9)(8,14)]); # Design 7403: autom. group order 2, simple, residual B[7403]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,8,9,10,14],[1,3,5,7,10,12,13],[1,3,7,8,11,12,14],[1,4,6,7,9,11,13],[1,4,6,8,11,12,13],[1,4,9,10,12,13,14],[1,5,6,7,8,12,14],[1,5,7,9,10,11,14],[2,3,6,7,9,12,13],[2,3,7,8,11,13,14],[2,4,5,7,9,12,14],[2,4,5,11,12,13,14],[2,4,7,8,10,13,14],[2,5,6,8,10,11,12],[2,6,7,9,10,11,12],[3,4,5,6,10,11,14],[3,4,6,8,9,12,14],[3,4,7,8,9,10,11],[3,5,6,9,11,13,14],[3,5,8,9,10,12,13],[4,5,6,7,8,10,13]]; G[7403]:=Group([(1,12)(3,11)(4,10)(5,6)(7,8)]); # Design 7404: autom. group order 2, simple, residual B[7404]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,9,10,13,14],[1,3,5,7,10,12,14],[1,3,7,9,11,12,13],[1,4,6,7,8,11,13],[1,4,6,9,11,12,14],[1,4,8,10,12,13,14],[1,5,6,7,8,9,12],[1,5,7,8,10,11,14],[2,3,6,7,12,13,14],[2,3,7,8,9,11,14],[2,4,5,7,12,13,14],[2,4,5,8,11,12,13],[2,4,7,8,9,10,14],[2,5,6,9,10,11,12],[2,6,7,8,10,11,12],[3,4,5,6,10,11,14],[3,4,6,8,9,12,14],[3,4,7,9,10,11,13],[3,5,6,8,11,13,14],[3,5,8,9,10,12,13],[4,5,6,7,9,10,13]]; G[7404]:=Group([(1,12)(3,11)(4,10)(5,6)(7,9)]); # Design 7405: autom. group order 2, simple B[7405]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,9,10,13,14],[1,3,5,7,12,13,14],[1,3,7,9,10,12,14],[1,4,6,7,8,10,14],[1,4,6,9,11,12,13],[1,4,8,11,12,13,14],[1,5,6,7,8,11,12],[1,5,7,8,9,10,11],[2,3,6,8,10,11,12],[2,3,7,9,11,12,14],[2,4,5,7,11,13,14],[2,4,5,8,9,12,14],[2,4,7,8,10,12,13],[2,5,6,7,10,12,13],[2,6,7,8,9,11,14],[3,4,5,6,10,11,14],[3,4,6,7,9,11,13],[3,4,7,8,9,10,13],[3,5,6,8,9,12,13],[3,5,8,10,11,13,14],[4,5,6,9,10,12,14]]; G[7405]:=Group([(2,11)(3,12)(5,13)(6,8)(7,14)]); # Design 7406: autom. group order 2, simple B[7406]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,9,10,13,14],[1,3,5,7,12,13,14],[1,3,7,9,10,12,14],[1,4,6,7,8,10,14],[1,4,6,9,11,12,13],[1,4,8,11,12,13,14],[1,5,6,7,8,11,12],[1,5,7,8,9,10,11],[2,3,6,8,10,11,12],[2,3,7,9,11,12,14],[2,4,5,7,11,13,14],[2,4,5,8,10,12,14],[2,4,7,8,9,12,13],[2,5,6,7,10,12,13],[2,6,7,8,9,11,14],[3,4,5,6,9,11,14],[3,4,6,7,10,11,13],[3,4,7,8,9,10,13],[3,5,6,8,9,12,13],[3,5,8,10,11,13,14],[4,5,6,9,10,12,14]]; G[7406]:=Group([(2,11)(3,12)(5,13)(6,8)(7,14)]); # Design 7407: autom. group order 2, simple, residual B[7407]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,8,9,10,14],[1,3,5,7,10,12,14],[1,3,8,11,12,13,14],[1,4,6,7,8,11,13],[1,4,6,9,11,12,14],[1,4,7,9,10,12,13],[1,5,6,7,9,12,13],[1,5,7,8,10,11,14],[2,3,6,7,8,12,13],[2,3,7,9,11,13,14],[2,4,5,7,8,12,14],[2,4,5,11,12,13,14],[2,4,7,9,10,13,14],[2,5,6,9,10,11,12],[2,6,7,8,10,11,12],[3,4,5,6,10,11,13],[3,4,6,8,9,12,14],[3,4,7,8,9,10,11],[3,5,6,7,9,11,14],[3,5,8,9,10,12,13],[4,5,6,8,10,13,14]]; G[7407]:=Group([(1,12)(3,11)(4,10)(5,6)(7,9)]); # Design 7408: autom. group order 2, simple, residual B[7408]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,8,9,10,14],[1,3,5,7,10,12,14],[1,3,8,11,12,13,14],[1,4,6,7,8,11,14],[1,4,6,9,11,12,14],[1,4,7,9,10,12,13],[1,5,6,7,9,12,13],[1,5,7,8,10,11,13],[2,3,6,7,8,12,13],[2,3,7,9,11,13,14],[2,4,5,7,8,12,14],[2,4,5,11,12,13,14],[2,4,7,9,10,13,14],[2,5,6,9,10,11,12],[2,6,7,8,10,11,12],[3,4,5,6,10,11,13],[3,4,6,8,9,12,13],[3,4,7,8,9,10,11],[3,5,6,7,9,11,14],[3,5,8,9,10,12,14],[4,5,6,8,10,13,14]]; G[7408]:=Group([(1,12)(3,11)(4,10)(5,6)(7,9)]); # Design 7409: autom. group order 2, simple, residual B[7409]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,9,10,13,14],[1,3,5,7,10,12,14],[1,3,8,11,12,13,14],[1,4,6,7,8,11,13],[1,4,6,9,11,12,14],[1,4,7,9,10,12,13],[1,5,6,7,8,9,12],[1,5,7,8,10,11,14],[2,3,6,7,12,13,14],[2,3,7,8,9,11,14],[2,4,5,7,12,13,14],[2,4,5,8,11,12,13],[2,4,7,8,9,10,14],[2,5,6,9,10,11,12],[2,6,7,8,10,11,12],[3,4,5,6,10,11,14],[3,4,6,8,9,12,14],[3,4,7,9,10,11,13],[3,5,6,7,9,11,13],[3,5,8,9,10,12,13],[4,5,6,8,10,13,14]]; G[7409]:=Group([(1,12)(3,11)(4,10)(5,6)(7,9)]); # Design 7410: autom. group order 2, simple, residual B[7410]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,9,10,13,14],[1,3,5,7,10,12,14],[1,3,8,11,12,13,14],[1,4,6,7,8,11,14],[1,4,6,9,11,12,14],[1,4,7,9,10,12,13],[1,5,6,7,8,9,12],[1,5,7,8,10,11,13],[2,3,6,7,12,13,14],[2,3,7,8,9,11,14],[2,4,5,7,12,13,14],[2,4,5,8,11,12,13],[2,4,7,8,9,10,14],[2,5,6,9,10,11,12],[2,6,7,8,10,11,12],[3,4,5,6,10,11,14],[3,4,6,8,9,12,13],[3,4,7,9,10,11,13],[3,5,6,7,9,11,13],[3,5,8,9,10,12,14],[4,5,6,8,10,13,14]]; G[7410]:=Group([(1,12)(3,11)(4,10)(5,6)(7,9)]); # Design 7411: autom. group order 2, simple, residual B[7411]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,9,11,12,14],[1,3,5,9,10,13,14],[1,3,7,8,9,11,13],[1,4,6,7,9,11,13],[1,4,6,8,9,10,12],[1,4,7,8,10,12,14],[1,5,6,7,10,11,14],[1,5,7,8,12,13,14],[2,3,6,7,8,12,13],[2,3,7,8,9,10,14],[2,4,5,7,9,12,14],[2,4,5,7,10,11,13],[2,4,8,10,11,13,14],[2,5,6,8,9,11,14],[2,6,7,9,10,12,13],[3,4,5,6,12,13,14],[3,4,6,7,8,11,14],[3,4,9,11,12,13,14],[3,5,6,8,10,11,12],[3,5,7,9,10,11,12],[4,5,6,8,9,10,13]]; G[7411]:=Group([(1,12)(2,11)(4,10)(6,9)]); # Design 7412: autom. group order 2, simple, residual B[7412]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,9,10,14],[1,3,5,8,12,13,14],[1,3,7,9,12,13,14],[1,4,6,7,8,11,14],[1,4,6,9,11,12,13],[1,4,7,9,10,13,14],[1,5,6,9,10,11,12],[1,5,7,8,10,11,12],[2,3,7,9,11,12,14],[2,3,8,9,10,11,13],[2,4,5,6,12,13,14],[2,4,5,9,10,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,13],[2,6,7,8,10,12,14],[3,4,5,7,10,11,14],[3,4,6,8,9,11,14],[3,4,6,8,10,12,13],[3,5,6,7,8,9,12],[3,5,6,10,11,13,14],[4,5,7,8,9,10,13]]; G[7412]:=Group([(2,11)(3,12)(4,10)(7,9)]); # Design 7413: autom. group order 2, simple B[7413]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,13,14],[1,2,6,8,11,12,13],[1,3,5,9,10,11,14],[1,3,7,8,11,12,14],[1,4,6,8,9,11,14],[1,4,6,10,12,13,14],[1,4,7,9,10,12,13],[1,5,6,7,9,11,13],[1,5,7,8,9,10,12],[2,3,7,8,9,12,13],[2,3,9,10,11,13,14],[2,4,5,6,9,12,14],[2,4,5,7,10,11,13],[2,4,7,9,11,12,14],[2,5,6,8,10,11,12],[2,6,7,8,9,10,14],[3,4,5,8,12,13,14],[3,4,6,7,8,10,11],[3,4,6,8,9,10,13],[3,5,6,7,10,12,14],[3,5,6,9,11,12,13],[4,5,7,8,11,13,14]]; G[7413]:=Group([(2,10)(3,12)(5,13)(6,9)(8,14)]); # Design 7414: autom. group order 2, simple, residual B[7414]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,6,7,11,12,13],[1,3,5,9,10,11,14],[1,3,7,8,9,11,13],[1,4,6,7,9,11,14],[1,4,6,8,10,12,13],[1,4,9,10,12,13,14],[1,5,6,8,11,12,14],[1,5,7,8,9,10,12],[2,3,7,10,11,12,14],[2,3,8,9,12,13,14],[2,4,5,6,9,12,14],[2,4,5,8,10,11,13],[2,4,7,8,9,11,12],[2,5,6,9,10,11,13],[2,6,7,8,9,10,14],[3,4,5,7,12,13,14],[3,4,6,7,9,10,13],[3,4,6,8,10,11,14],[3,5,6,7,8,10,12],[3,5,6,9,11,12,13],[4,5,7,8,11,13,14]]; G[7414]:=Group([(2,10)(3,12)(5,13)(6,9)(7,14)]); # Design 7415: autom. group order 2, simple B[7415]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,6,7,11,12,13],[1,3,5,9,10,11,14],[1,3,7,8,11,12,14],[1,4,6,7,9,11,14],[1,4,6,8,10,12,13],[1,4,9,10,12,13,14],[1,5,6,8,9,11,13],[1,5,7,8,9,10,12],[2,3,7,9,10,11,13],[2,3,8,9,12,13,14],[2,4,5,6,9,12,14],[2,4,5,8,10,11,13],[2,4,7,8,9,11,12],[2,5,6,10,11,12,14],[2,6,7,8,9,10,14],[3,4,5,7,12,13,14],[3,4,6,7,9,10,13],[3,4,6,8,10,11,14],[3,5,6,7,8,10,12],[3,5,6,9,11,12,13],[4,5,7,8,11,13,14]]; G[7415]:=Group([(2,10)(3,12)(5,13)(6,9)(7,14)]); # Design 7416: autom. group order 2, simple, residual B[7416]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,6,7,11,12,13],[1,3,5,9,10,11,14],[1,3,7,8,9,11,13],[1,4,6,7,9,11,14],[1,4,6,8,10,12,13],[1,4,9,10,12,13,14],[1,5,6,8,11,12,14],[1,5,7,8,9,10,12],[2,3,7,8,10,12,14],[2,3,9,11,12,13,14],[2,4,5,6,9,12,14],[2,4,5,8,10,11,13],[2,4,7,8,9,11,12],[2,5,6,9,10,11,13],[2,6,7,8,9,10,14],[3,4,5,7,12,13,14],[3,4,6,7,9,10,13],[3,4,6,8,10,11,14],[3,5,6,7,10,11,12],[3,5,6,8,9,12,13],[4,5,7,8,11,13,14]]; G[7416]:=Group([(2,10)(3,12)(5,13)(6,9)(7,14)]); # Design 7417: autom. group order 2, simple, residual B[7417]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,11,14],[1,2,6,7,11,12,13],[1,3,5,9,11,12,14],[1,3,7,8,12,13,14],[1,4,6,8,9,12,14],[1,4,6,9,10,11,14],[1,4,7,9,10,12,13],[1,5,6,8,11,13,14],[1,5,7,8,9,10,13],[2,3,7,8,9,11,14],[2,3,9,10,12,13,14],[2,4,5,6,12,13,14],[2,4,5,7,9,13,14],[2,4,8,10,11,13,14],[2,5,6,8,9,10,12],[2,6,7,8,9,11,12],[3,4,5,8,11,12,13],[3,4,6,7,8,10,14],[3,4,6,7,9,11,13],[3,5,6,7,10,12,14],[3,5,6,9,10,11,13],[4,5,7,8,10,11,12]]; G[7417]:=Group([(1,14)(3,13)(6,9)(8,12)]); # Design 7418: autom. group order 2, simple, residual B[7418]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,11,14],[1,2,6,7,11,12,13],[1,3,5,9,11,12,14],[1,3,7,8,12,13,14],[1,4,6,8,9,12,14],[1,4,6,9,10,11,14],[1,4,7,8,9,10,13],[1,5,6,8,11,13,14],[1,5,7,9,10,12,13],[2,3,7,8,9,11,14],[2,3,9,10,12,13,14],[2,4,5,6,12,13,14],[2,4,5,7,9,13,14],[2,4,8,10,11,13,14],[2,5,6,8,9,10,12],[2,6,7,8,9,11,12],[3,4,5,8,11,12,13],[3,4,6,7,9,11,13],[3,4,6,7,10,12,14],[3,5,6,7,8,10,14],[3,5,6,9,10,11,13],[4,5,7,8,10,11,12]]; G[7418]:=Group([(1,14)(3,13)(6,9)(8,12)]); # Design 7419: autom. group order 2, simple B[7419]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,6,7,9,10,11],[1,3,5,9,11,12,13],[1,3,7,9,10,12,14],[1,4,6,8,9,10,13],[1,4,6,10,12,13,14],[1,4,7,8,11,12,14],[1,5,6,8,9,11,14],[1,5,7,8,11,12,13],[2,3,7,8,10,11,13],[2,3,8,9,12,13,14],[2,4,5,6,11,12,13],[2,4,5,8,10,12,14],[2,4,7,9,11,13,14],[2,5,6,7,9,12,14],[2,6,8,9,10,11,12],[3,4,5,9,10,11,14],[3,4,6,7,8,11,14],[3,4,6,7,9,12,13],[3,5,6,7,8,10,12],[3,5,6,10,11,13,14],[4,5,7,8,9,10,13]]; G[7419]:=Group([(1,8)(4,13)(5,14)(6,9)(7,12)]); # Design 7420: autom. group order 2, simple, residual B[7420]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,9,11,13],[1,3,5,7,8,12,14],[1,3,7,8,9,10,13],[1,4,6,7,9,10,14],[1,4,6,8,12,13,14],[1,4,7,9,11,12,13],[1,5,6,8,10,11,12],[1,5,9,10,11,12,14],[2,3,7,8,11,12,14],[2,3,9,10,12,13,14],[2,4,5,6,9,12,14],[2,4,5,8,10,11,13],[2,4,7,8,9,10,12],[2,5,6,7,10,12,13],[2,6,7,8,9,11,14],[3,4,5,9,11,13,14],[3,4,6,7,11,12,13],[3,4,6,8,10,11,14],[3,5,6,7,9,10,11],[3,5,6,8,9,12,13],[4,5,7,8,10,13,14]]; G[7420]:=Group([(2,11)(3,12)(4,10)(6,9)(7,14)]); # Design 7421: autom. group order 2, simple, residual B[7421]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,12,14],[1,2,6,7,8,12,13],[1,3,5,7,9,12,14],[1,3,7,8,11,13,14],[1,4,6,7,9,11,14],[1,4,6,9,10,12,14],[1,4,7,8,9,10,13],[1,5,6,11,12,13,14],[1,5,8,9,10,11,13],[2,3,7,9,10,13,14],[2,3,8,9,11,12,14],[2,4,5,6,8,13,14],[2,4,5,9,11,13,14],[2,4,7,10,12,13,14],[2,5,6,7,9,10,11],[2,6,7,8,9,11,12],[3,4,5,7,11,12,13],[3,4,6,8,9,12,13],[3,4,6,8,10,11,14],[3,5,6,7,8,10,14],[3,5,6,9,10,12,13],[4,5,7,8,10,11,12]]; G[7421]:=Group([(1,14)(3,13)(6,9)(7,11)]); # Design 7422: autom. group order 2, simple, residual B[7422]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,11,13],[1,3,5,7,8,12,14],[1,3,7,9,10,13,14],[1,4,6,7,8,12,13],[1,4,6,8,9,10,14],[1,4,8,9,11,12,13],[1,5,6,10,11,12,14],[1,5,7,9,10,11,12],[2,3,7,8,11,12,14],[2,3,8,9,10,12,13],[2,4,5,6,9,12,14],[2,4,5,7,10,11,13],[2,4,7,9,10,12,14],[2,5,6,8,10,12,13],[2,6,7,8,9,11,14],[3,4,5,9,11,13,14],[3,4,6,7,8,10,11],[3,4,6,11,12,13,14],[3,5,6,7,9,12,13],[3,5,6,8,9,10,11],[4,5,7,8,10,13,14]]; G[7422]:=Group([(2,11)(3,12)(4,10)(6,9)(8,14)]); # Design 7423: autom. group order 2, simple, residual B[7423]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,12,14],[1,2,6,7,8,12,13],[1,3,5,7,9,12,14],[1,3,7,8,11,13,14],[1,4,6,7,9,11,14],[1,4,6,9,10,12,14],[1,4,8,9,10,11,13],[1,5,6,11,12,13,14],[1,5,7,8,9,10,13],[2,3,7,9,10,13,14],[2,3,8,9,11,12,14],[2,4,5,6,8,13,14],[2,4,5,9,11,13,14],[2,4,7,10,12,13,14],[2,5,6,7,9,10,11],[2,6,7,8,9,11,12],[3,4,5,7,11,12,13],[3,4,6,7,8,10,14],[3,4,6,8,9,12,13],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13],[4,5,7,8,10,11,12]]; G[7423]:=Group([(1,14)(3,13)(6,9)(7,11)]); # Design 7424: autom. group order 2, simple, residual B[7424]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,8,12,13],[1,3,5,7,9,11,14],[1,3,7,9,10,13,14],[1,4,6,8,9,10,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,13],[1,5,6,7,8,10,12],[1,5,8,9,10,11,12],[2,3,7,8,9,12,13],[2,3,8,10,11,12,14],[2,4,5,6,9,12,14],[2,4,5,7,10,11,13],[2,4,7,9,10,12,14],[2,5,6,9,10,11,13],[2,6,7,8,9,11,14],[3,4,5,8,12,13,14],[3,4,6,7,8,10,11],[3,4,6,8,9,11,13],[3,5,6,7,11,12,14],[3,5,6,9,10,12,13],[4,5,7,8,10,13,14]]; G[7424]:=Group([(2,11)(3,12)(5,13)(6,9)(8,14)]); # Design 7425: autom. group order 2, simple, residual B[7425]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,8,12,13],[1,3,5,7,9,11,14],[1,3,7,9,10,13,14],[1,4,6,8,9,10,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,13],[1,5,6,7,8,10,12],[1,5,8,9,10,11,12],[2,3,7,8,11,12,14],[2,3,8,9,10,12,13],[2,4,5,6,9,12,14],[2,4,5,7,10,11,13],[2,4,7,9,10,12,14],[2,5,6,9,10,11,13],[2,6,7,8,9,11,14],[3,4,5,8,12,13,14],[3,4,6,7,8,10,11],[3,4,6,8,9,11,13],[3,5,6,7,9,12,13],[3,5,6,10,11,12,14],[4,5,7,8,10,13,14]]; G[7425]:=Group([(2,11)(3,12)(5,13)(6,9)(8,14)]); # Design 7426: autom. group order 2, simple B[7426]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,8,12,13],[1,3,5,7,9,11,14],[1,3,7,8,10,12,14],[1,4,6,8,9,10,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,13],[1,5,6,7,9,10,13],[1,5,8,9,10,11,12],[2,3,7,8,9,12,13],[2,3,9,10,11,13,14],[2,4,5,6,9,12,14],[2,4,5,7,10,11,13],[2,4,7,9,10,12,14],[2,5,6,8,10,11,12],[2,6,7,8,9,11,14],[3,4,5,8,12,13,14],[3,4,6,7,8,10,11],[3,4,6,8,9,11,13],[3,5,6,7,11,12,14],[3,5,6,9,10,12,13],[4,5,7,8,10,13,14]]; G[7426]:=Group([(2,11)(3,12)(5,13)(6,9)(8,14)]); # Design 7427: autom. group order 2, simple B[7427]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,8,10,12],[1,3,5,8,12,13,14],[1,3,7,9,10,11,13],[1,4,6,7,8,9,13],[1,4,6,11,12,13,14],[1,4,7,9,11,12,14],[1,5,6,7,9,10,14],[1,5,8,9,10,11,12],[2,3,7,8,9,11,14],[2,3,7,9,12,13,14],[2,4,5,6,9,11,14],[2,4,5,9,10,12,13],[2,4,7,8,10,12,14],[2,5,6,7,11,12,13],[2,6,8,9,10,11,13],[3,4,5,7,10,11,13],[3,4,6,8,9,12,13],[3,4,6,8,10,11,14],[3,5,6,7,8,11,12],[3,5,6,9,10,12,14],[4,5,7,8,10,13,14]]; G[7427]:=Group([(2,11)(3,12)(5,14)(6,9)(8,13)]); # Design 7428: autom. group order 2, simple, residual B[7428]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,7,9,10,14],[1,3,5,9,12,13,14],[1,3,7,8,12,13,14],[1,4,6,7,11,12,13],[1,4,6,8,9,11,14],[1,4,7,8,10,13,14],[1,5,6,8,10,11,12],[1,5,7,9,10,11,12],[2,3,7,8,11,12,14],[2,3,7,9,10,11,13],[2,4,5,6,12,13,14],[2,4,5,7,10,12,14],[2,4,8,9,11,12,13],[2,5,6,7,8,11,13],[2,6,8,9,10,12,14],[3,4,5,8,10,11,14],[3,4,6,7,9,11,14],[3,4,6,9,10,12,13],[3,5,6,7,8,9,12],[3,5,6,10,11,13,14],[4,5,7,8,9,10,13]]; G[7428]:=Group([(2,11)(3,12)(4,10)(7,8)]); # Design 7429: autom. group order 2, simple, residual B[7429]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,12,13],[1,3,5,9,10,12,14],[1,3,7,10,11,12,13],[1,4,6,7,8,11,12],[1,4,6,9,11,13,14],[1,4,7,8,9,10,14],[1,5,6,8,11,12,14],[1,5,7,8,9,10,13],[2,3,7,8,9,11,13],[2,3,8,9,11,12,14],[2,4,5,6,9,10,11],[2,4,5,7,12,13,14],[2,4,7,8,10,12,14],[2,5,6,8,10,12,13],[2,6,7,9,10,11,14],[3,4,5,7,11,13,14],[3,4,6,8,9,12,13],[3,4,6,8,10,13,14],[3,5,6,7,8,10,11],[3,5,6,7,9,12,14],[4,5,9,10,11,12,13]]; G[7429]:=Group([(1,9)(2,12)(4,14)(8,10)]); # Design 7430: autom. group order 2, simple, residual B[7430]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,13,14],[1,2,6,7,9,12,13],[1,3,5,9,10,12,14],[1,3,7,10,11,12,13],[1,4,6,7,8,11,12],[1,4,6,9,11,13,14],[1,4,7,8,9,10,14],[1,5,6,8,11,12,14],[1,5,7,8,9,10,13],[2,3,7,8,9,11,13],[2,3,8,9,11,12,14],[2,4,5,6,9,10,11],[2,4,5,7,12,13,14],[2,4,7,8,10,12,14],[2,5,6,8,10,12,13],[2,6,7,9,10,11,14],[3,4,5,7,11,13,14],[3,4,6,8,10,13,14],[3,4,6,9,10,12,13],[3,5,6,7,8,10,11],[3,5,6,7,9,12,14],[4,5,8,9,11,12,13]]; G[7430]:=Group([(1,9)(2,12)(4,14)(8,10)]); # Design 7431: autom. group order 2, simple, residual B[7431]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,11,12,13,14],[1,2,6,8,9,13,14],[1,3,5,7,11,13,14],[1,3,7,9,10,11,14],[1,4,6,7,9,11,12],[1,4,6,10,12,13,14],[1,4,7,8,9,10,14],[1,5,6,8,9,11,12],[1,5,7,8,10,12,13],[2,3,7,9,10,12,13],[2,3,8,9,11,12,14],[2,4,5,6,10,11,14],[2,4,5,7,9,13,14],[2,4,7,8,11,12,13],[2,5,6,7,9,10,12],[2,6,7,8,10,11,14],[3,4,5,8,10,12,14],[3,4,6,7,8,11,13],[3,4,6,9,12,13,14],[3,5,6,7,8,12,14],[3,5,6,9,10,11,13],[4,5,8,9,10,11,13]]; G[7431]:=Group([(1,14)(2,12)(4,8)(9,10)]); # Design 7432: autom. group order 2, simple, residual B[7432]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,11,12,13,14],[1,2,6,8,9,13,14],[1,3,5,7,11,13,14],[1,3,7,9,10,11,14],[1,4,6,7,9,11,12],[1,4,6,10,12,13,14],[1,4,7,8,9,10,14],[1,5,6,8,10,11,12],[1,5,7,8,9,12,13],[2,3,7,9,10,12,13],[2,3,8,9,11,12,14],[2,4,5,6,9,11,14],[2,4,5,7,10,13,14],[2,4,7,8,11,12,13],[2,5,6,7,9,10,12],[2,6,7,8,10,11,14],[3,4,5,8,10,12,14],[3,4,6,7,8,11,13],[3,4,6,9,12,13,14],[3,5,6,7,8,12,14],[3,5,6,9,10,11,13],[4,5,8,9,10,11,13]]; G[7432]:=Group([(1,14)(2,12)(4,8)(9,10)]); # Design 7433: autom. group order 2, simple B[7433]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,13,14],[1,2,6,8,11,12,13],[1,3,5,9,10,11,14],[1,3,7,9,11,13,14],[1,4,6,8,9,11,14],[1,4,6,10,12,13,14],[1,4,7,9,10,12,13],[1,5,6,7,8,11,12],[1,5,7,8,9,10,12],[2,3,7,8,9,12,13],[2,3,8,10,11,12,14],[2,4,5,7,11,12,14],[2,4,5,9,12,13,14],[2,4,6,7,9,10,11],[2,5,6,9,10,11,13],[2,6,7,8,9,10,14],[3,4,5,6,8,10,13],[3,4,6,8,9,12,14],[3,4,7,8,10,11,13],[3,5,6,7,10,12,14],[3,5,6,9,11,12,13],[4,5,7,8,11,13,14]]; G[7433]:=Group([(2,10)(3,12)(5,13)(6,9)(8,14)]); # Design 7434: autom. group order 2, simple B[7434]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,13,14],[1,2,6,8,11,12,13],[1,3,5,9,10,11,14],[1,3,7,9,11,13,14],[1,4,6,8,9,11,14],[1,4,6,10,12,13,14],[1,4,7,9,10,12,13],[1,5,6,7,8,11,12],[1,5,7,8,9,10,12],[2,3,7,8,10,12,14],[2,3,8,9,11,12,13],[2,4,5,7,11,12,14],[2,4,5,9,12,13,14],[2,4,6,7,9,10,11],[2,5,6,9,10,11,13],[2,6,7,8,9,10,14],[3,4,5,6,8,10,13],[3,4,6,8,9,12,14],[3,4,7,8,10,11,13],[3,5,6,7,9,12,13],[3,5,6,10,11,12,14],[4,5,7,8,11,13,14]]; G[7434]:=Group([(2,10)(3,12)(5,13)(6,9)(8,14)]); # Design 7435: autom. group order 2, simple B[7435]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,13,14],[1,2,6,8,11,12,13],[1,3,5,9,10,11,14],[1,3,7,8,11,12,14],[1,4,6,8,9,11,14],[1,4,6,10,12,13,14],[1,4,7,9,10,12,13],[1,5,6,7,9,11,13],[1,5,7,8,9,10,12],[2,3,7,8,9,12,13],[2,3,9,10,11,13,14],[2,4,5,7,11,12,14],[2,4,5,9,12,13,14],[2,4,6,7,9,10,11],[2,5,6,8,10,11,12],[2,6,7,8,9,10,14],[3,4,5,6,8,10,13],[3,4,6,8,9,12,14],[3,4,7,8,10,11,13],[3,5,6,7,10,12,14],[3,5,6,9,11,12,13],[4,5,7,8,11,13,14]]; G[7435]:=Group([(2,10)(3,12)(5,13)(6,9)(8,14)]); # Design 7436: autom. group order 2, simple B[7436]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,10,11,13,14],[1,2,6,8,9,10,13],[1,3,5,8,9,12,14],[1,3,8,10,12,13,14],[1,4,6,7,8,10,12],[1,4,6,9,11,12,14],[1,4,7,9,11,13,14],[1,5,6,7,9,10,11],[1,5,7,8,11,12,13],[2,3,7,8,9,11,14],[2,3,7,9,10,11,12],[2,4,5,7,12,13,14],[2,4,5,9,10,12,13],[2,4,6,8,11,12,14],[2,5,6,8,10,11,14],[2,6,7,8,9,12,13],[3,4,5,6,8,11,13],[3,4,6,9,10,13,14],[3,4,7,8,10,11,13],[3,5,6,7,10,12,14],[3,5,6,9,11,12,13],[4,5,7,8,9,10,14]]; G[7436]:=Group([(1,14)(3,11)(4,8)(5,6)(7,10)(9,12)]); # Design 7437: autom. group order 2, simple B[7437]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,6,7,11,12,13],[1,3,5,9,10,11,14],[1,3,7,8,11,12,14],[1,4,6,7,9,11,14],[1,4,6,8,10,12,13],[1,4,9,10,12,13,14],[1,5,6,8,9,11,13],[1,5,7,8,9,10,12],[2,3,7,9,10,11,13],[2,3,8,9,12,13,14],[2,4,5,7,9,12,13],[2,4,5,8,11,12,14],[2,4,6,8,9,10,11],[2,5,6,10,11,12,14],[2,6,7,8,9,10,14],[3,4,5,6,10,13,14],[3,4,6,7,9,12,14],[3,4,7,8,10,11,13],[3,5,6,7,8,10,12],[3,5,6,9,11,12,13],[4,5,7,8,11,13,14]]; G[7437]:=Group([(2,10)(3,12)(5,13)(6,9)(7,14)]); # Design 7438: autom. group order 2, simple, residual B[7438]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,11],[1,2,6,7,11,12,13],[1,3,5,8,12,13,14],[1,3,7,9,11,13,14],[1,4,6,8,9,11,13],[1,4,6,8,10,12,14],[1,4,7,8,9,12,14],[1,5,6,7,9,10,14],[1,5,9,10,11,12,13],[2,3,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,12,13,14],[2,4,5,9,10,13,14],[2,4,6,8,11,13,14],[2,5,6,9,11,12,14],[2,6,7,8,9,10,12],[3,4,5,6,9,11,12],[3,4,6,7,9,10,13],[3,4,7,10,11,12,14],[3,5,6,7,8,11,14],[3,5,6,8,10,12,13],[4,5,7,8,10,11,13]]; G[7438]:=Group([(1,14)(3,13)(6,10)(7,9)(8,12)]); # Design 7439: autom. group order 2, simple, residual B[7439]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,9,11,13],[1,3,5,7,8,12,14],[1,3,8,9,10,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,10,14],[1,4,7,9,11,12,13],[1,5,6,8,10,11,12],[1,5,9,10,11,12,14],[2,3,7,8,11,12,14],[2,3,7,9,10,12,13],[2,4,5,8,10,11,13],[2,4,5,9,12,13,14],[2,4,6,8,10,12,14],[2,5,6,7,9,10,12],[2,6,7,8,9,11,14],[3,4,5,6,9,11,14],[3,4,6,11,12,13,14],[3,4,7,8,9,10,11],[3,5,6,7,10,11,13],[3,5,6,8,9,12,13],[4,5,7,8,10,13,14]]; G[7439]:=Group([(2,11)(3,12)(4,10)(6,9)(7,14)]); # Design 7440: autom. group order 2, simple B[7440]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,11],[1,2,6,8,9,11,13],[1,3,5,8,12,13,14],[1,3,7,9,11,13,14],[1,4,6,7,9,10,14],[1,4,6,7,11,12,13],[1,4,7,8,9,12,14],[1,5,6,8,10,12,14],[1,5,9,10,11,12,13],[2,3,7,8,9,12,13],[2,3,7,10,11,12,14],[2,4,5,7,12,13,14],[2,4,5,9,10,13,14],[2,4,6,8,11,13,14],[2,5,6,9,11,12,14],[2,6,7,8,9,10,12],[3,4,5,6,9,11,12],[3,4,6,8,10,12,13],[3,4,8,9,10,11,14],[3,5,6,7,8,11,14],[3,5,6,7,9,10,13],[4,5,7,8,10,11,13]]; G[7440]:=Group([(1,14)(3,13)(6,10)(7,9)(8,12)]); # Design 7441: autom. group order 2, simple, residual B[7441]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,11],[1,2,6,8,9,11,13],[1,3,5,8,12,13,14],[1,3,7,9,11,13,14],[1,4,6,7,11,12,13],[1,4,6,8,10,12,14],[1,4,7,8,9,12,14],[1,5,6,7,9,10,14],[1,5,9,10,11,12,13],[2,3,7,8,9,12,13],[2,3,7,10,11,12,14],[2,4,5,7,12,13,14],[2,4,5,9,10,13,14],[2,4,6,8,11,13,14],[2,5,6,9,11,12,14],[2,6,7,8,9,10,12],[3,4,5,6,9,11,12],[3,4,6,7,9,10,13],[3,4,8,9,10,11,14],[3,5,6,7,8,11,14],[3,5,6,8,10,12,13],[4,5,7,8,10,11,13]]; G[7441]:=Group([(1,14)(3,13)(6,10)(7,9)(8,12)]); # Design 7442: autom. group order 2, simple, residual B[7442]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,10,11,13],[1,2,6,8,9,11,14],[1,3,5,8,12,13,14],[1,3,7,8,10,12,14],[1,4,6,7,8,9,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,13],[1,5,6,7,9,10,13],[1,5,8,9,10,11,12],[2,3,7,8,9,11,13],[2,3,7,9,12,13,14],[2,4,5,8,11,13,14],[2,4,5,9,10,12,14],[2,4,6,7,8,10,12],[2,5,6,7,11,12,14],[2,6,8,9,10,12,13],[3,4,5,6,9,12,13],[3,4,6,8,10,11,13],[3,4,7,9,10,11,14],[3,5,6,7,8,11,12],[3,5,6,9,10,11,14],[4,5,7,8,10,13,14]]; G[7442]:=Group([(2,11)(3,12)(5,13)(6,9)(8,14)]); # Design 7443: autom. group order 2, simple, residual B[7443]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,11,13],[1,3,5,7,8,12,14],[1,3,7,8,9,10,13],[1,4,6,7,12,13,14],[1,4,6,8,9,10,14],[1,4,8,9,11,12,13],[1,5,6,10,11,12,14],[1,5,7,9,10,11,12],[2,3,7,8,11,12,14],[2,3,9,10,12,13,14],[2,4,5,7,10,11,13],[2,4,5,9,12,13,14],[2,4,6,7,8,10,12],[2,5,6,8,9,10,12],[2,6,7,8,9,11,14],[3,4,5,6,9,11,14],[3,4,6,8,11,12,13],[3,4,7,9,10,11,14],[3,5,6,7,9,12,13],[3,5,6,8,10,11,13],[4,5,7,8,10,13,14]]; G[7443]:=Group([(2,11)(3,12)(4,10)(6,9)(8,14)]); # Design 7444: autom. group order 2, simple, residual B[7444]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,11,14],[1,2,6,7,9,11,13],[1,3,5,7,9,12,14],[1,3,7,8,11,13,14],[1,4,6,7,8,12,14],[1,4,6,9,10,12,14],[1,4,8,9,11,12,13],[1,5,6,8,10,13,14],[1,5,7,10,11,12,13],[2,3,7,9,12,13,14],[2,3,8,10,11,12,14],[2,4,5,7,10,13,14],[2,4,5,8,12,13,14],[2,4,6,9,11,13,14],[2,5,6,7,8,11,12],[2,6,7,8,9,10,12],[3,4,5,6,11,12,13],[3,4,6,7,10,11,14],[3,4,7,8,9,10,13],[3,5,6,8,9,11,14],[3,5,6,9,10,12,13],[4,5,7,8,9,10,11]]; G[7444]:=Group([(1,14)(3,13)(6,12)(7,8)(9,10)]); # Design 7445: autom. group order 2, simple B[7445]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,8,12,13],[1,3,5,7,9,11,14],[1,3,7,9,10,13,14],[1,4,6,8,9,10,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,13],[1,5,6,7,8,10,12],[1,5,8,9,10,11,12],[2,3,7,8,9,12,13],[2,3,8,10,11,12,14],[2,4,5,7,10,12,14],[2,4,5,9,12,13,14],[2,4,6,7,9,10,11],[2,5,6,9,10,11,13],[2,6,7,8,9,11,14],[3,4,5,6,8,11,13],[3,4,6,8,9,12,14],[3,4,7,8,10,11,13],[3,5,6,7,11,12,14],[3,5,6,9,10,12,13],[4,5,7,8,10,13,14]]; G[7445]:=Group([(2,11)(3,12)(5,13)(6,9)(8,14)]); # Design 7446: autom. group order 2, simple B[7446]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,8,12,13],[1,3,5,7,9,11,14],[1,3,7,9,10,13,14],[1,4,6,8,9,10,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,13],[1,5,6,7,8,10,12],[1,5,8,9,10,11,12],[2,3,7,8,11,12,14],[2,3,8,9,10,12,13],[2,4,5,7,10,12,14],[2,4,5,9,12,13,14],[2,4,6,7,9,10,11],[2,5,6,9,10,11,13],[2,6,7,8,9,11,14],[3,4,5,6,8,11,13],[3,4,6,8,9,12,14],[3,4,7,8,10,11,13],[3,5,6,7,9,12,13],[3,5,6,10,11,12,14],[4,5,7,8,10,13,14]]; G[7446]:=Group([(2,11)(3,12)(5,13)(6,9)(8,14)]); # Design 7447: autom. group order 2, simple B[7447]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,8,12,13],[1,3,5,7,9,11,14],[1,3,7,8,10,12,14],[1,4,6,8,9,10,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,13],[1,5,6,7,9,10,13],[1,5,8,9,10,11,12],[2,3,7,8,9,12,13],[2,3,9,10,11,13,14],[2,4,5,7,10,12,14],[2,4,5,9,12,13,14],[2,4,6,7,9,10,11],[2,5,6,8,10,11,12],[2,6,7,8,9,11,14],[3,4,5,6,8,11,13],[3,4,6,8,9,12,14],[3,4,7,8,10,11,13],[3,5,6,7,11,12,14],[3,5,6,9,10,12,13],[4,5,7,8,10,13,14]]; G[7447]:=Group([(2,11)(3,12)(5,13)(6,9)(8,14)]); # Design 7448: autom. group order 2, simple, residual B[7448]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,11,14],[1,2,6,7,9,11,13],[1,3,5,7,9,12,14],[1,3,7,8,11,13,14],[1,4,6,8,11,12,14],[1,4,6,9,10,12,14],[1,4,7,8,9,12,13],[1,5,6,7,10,13,14],[1,5,8,10,11,12,13],[2,3,7,10,11,12,14],[2,3,8,9,12,13,14],[2,4,5,7,12,13,14],[2,4,5,8,10,13,14],[2,4,6,9,11,13,14],[2,5,6,7,8,11,12],[2,6,7,8,9,10,12],[3,4,5,6,11,12,13],[3,4,6,7,8,10,14],[3,4,7,9,10,11,13],[3,5,6,8,9,11,14],[3,5,6,9,10,12,13],[4,5,7,8,9,10,11]]; G[7448]:=Group([(1,14)(3,13)(6,12)(9,10)]); # Design 7449: autom. group order 2, simple, residual B[7449]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,11,14],[1,2,6,7,9,11,13],[1,3,5,7,9,12,14],[1,3,7,8,11,13,14],[1,4,6,8,11,12,14],[1,4,6,9,10,12,14],[1,4,7,8,10,12,13],[1,5,6,7,10,13,14],[1,5,8,9,11,12,13],[2,3,7,10,11,12,14],[2,3,8,9,12,13,14],[2,4,5,7,12,13,14],[2,4,5,8,10,13,14],[2,4,6,9,11,13,14],[2,5,6,7,8,11,12],[2,6,7,8,9,10,12],[3,4,5,6,11,12,13],[3,4,6,7,8,9,14],[3,4,7,9,10,11,13],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13],[4,5,7,8,9,10,11]]; G[7449]:=Group([(1,14)(3,13)(6,12)(9,10)]); # Design 7450: autom. group order 2, simple, residual B[7450]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,10,11],[1,2,6,7,11,12,13],[1,3,5,8,12,13,14],[1,3,7,9,11,13,14],[1,4,6,8,9,11,13],[1,4,6,8,10,12,14],[1,4,7,9,10,12,13],[1,5,6,7,9,10,14],[1,5,7,8,11,12,14],[2,3,7,8,9,12,13],[2,3,7,8,10,11,14],[2,4,5,7,10,13,14],[2,4,5,9,12,13,14],[2,4,6,8,11,13,14],[2,5,6,9,11,12,14],[2,6,7,8,9,10,12],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,9,10,11,12,14],[3,5,6,8,10,12,13],[3,5,6,9,10,11,13],[4,5,7,8,10,11,13]]; G[7450]:=Group([(1,14)(3,13)(6,10)(8,12)]); # Design 7451: autom. group order 2, simple, residual B[7451]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,10,11],[1,2,6,7,8,11,13],[1,3,5,8,12,13,14],[1,3,7,9,11,13,14],[1,4,6,8,10,12,14],[1,4,6,9,11,12,13],[1,4,7,9,10,12,13],[1,5,6,7,9,10,14],[1,5,7,8,11,12,14],[2,3,7,8,9,12,13],[2,3,7,10,11,12,14],[2,4,5,7,10,13,14],[2,4,5,9,12,13,14],[2,4,6,8,11,13,14],[2,5,6,9,11,12,14],[2,6,7,8,9,10,12],[3,4,5,6,7,11,12],[3,4,6,7,8,9,14],[3,4,8,9,10,11,14],[3,5,6,8,10,12,13],[3,5,6,9,10,11,13],[4,5,7,8,10,11,13]]; G[7451]:=Group([(1,14)(3,13)(6,10)(8,12)]); # Design 7452: autom. group order 2, simple B[7452]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,9,11,13,14],[1,3,5,7,9,10,13],[1,3,7,8,9,11,14],[1,4,6,7,8,10,14],[1,4,6,7,9,11,12],[1,4,7,8,12,13,14],[1,5,6,8,10,12,13],[1,5,9,10,11,12,14],[2,3,7,8,10,11,12],[2,3,7,9,12,13,14],[2,4,5,7,12,13,14],[2,4,5,8,9,10,14],[2,4,6,8,9,11,13],[2,5,6,7,10,11,14],[2,6,7,8,9,10,12],[3,4,5,6,11,12,14],[3,4,6,9,10,12,13],[3,4,8,10,11,13,14],[3,5,6,7,8,11,13],[3,5,6,8,9,12,14],[4,5,7,9,10,11,13]]; G[7452]:=Group([(1,8)(3,9)(6,10)(7,14)(12,13)]); # Design 7453: autom. group order 2, simple, residual B[7453]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,8,9,11,14],[1,3,5,7,8,10,14],[1,3,7,9,11,13,14],[1,4,6,7,9,10,13],[1,4,6,7,11,12,14],[1,4,7,8,9,12,13],[1,5,6,8,10,12,13],[1,5,9,10,11,12,14],[2,3,7,8,9,12,14],[2,3,7,10,11,12,13],[2,4,5,7,12,13,14],[2,4,5,9,10,13,14],[2,4,6,8,11,13,14],[2,5,6,7,9,10,11],[2,6,7,8,9,10,12],[3,4,5,6,9,11,12],[3,4,6,8,10,12,14],[3,4,8,9,10,11,13],[3,5,6,7,8,11,13],[3,5,6,9,12,13,14],[4,5,7,8,10,11,14]]; G[7453]:=Group([(1,13)(3,14)(6,10)(7,9)(8,12)]); # Design 7454: autom. group order 2, simple, residual B[7454]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,10,11,13,14],[1,2,6,8,9,10,13],[1,3,5,8,10,12,13],[1,3,7,8,9,11,14],[1,4,6,7,11,12,13],[1,4,7,8,9,10,14],[1,4,9,11,12,13,14],[1,5,6,7,8,11,12],[1,5,6,9,10,12,14],[2,3,6,9,10,11,12],[2,3,7,9,12,13,14],[2,4,5,6,9,11,14],[2,4,5,8,12,13,14],[2,4,7,8,10,11,13],[2,5,7,8,9,11,12],[2,6,7,8,10,12,14],[3,4,5,7,10,12,14],[3,4,6,8,9,12,13],[3,4,6,8,10,11,14],[3,5,6,8,11,13,14],[3,5,7,9,10,11,13],[4,5,6,7,9,10,13]]; G[7454]:=Group([(2,12)(3,11)(5,13)(8,14)]); # Design 7455: autom. group order 2, simple, residual B[7455]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,13,14],[1,3,5,10,12,13,14],[1,3,7,8,9,11,14],[1,4,6,7,11,12,13],[1,4,7,8,9,10,14],[1,4,9,11,12,13,14],[1,5,6,7,8,11,12],[1,5,6,8,9,10,12],[2,3,6,9,10,11,12],[2,3,7,8,9,12,13],[2,4,5,6,9,11,14],[2,4,5,8,12,13,14],[2,4,7,8,10,11,13],[2,5,7,9,11,12,14],[2,6,7,8,10,12,14],[3,4,5,7,10,12,14],[3,4,6,8,9,12,13],[3,4,6,8,10,11,14],[3,5,6,8,11,13,14],[3,5,7,9,10,11,13],[4,5,6,7,9,10,13]]; G[7455]:=Group([(2,12)(3,11)(5,13)(8,14)]); # Design 7456: autom. group order 2, simple, residual B[7456]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,10,13,14],[1,3,5,9,11,13,14],[1,3,7,9,10,12,14],[1,4,6,8,11,12,14],[1,4,7,8,9,10,13],[1,4,7,11,12,13,14],[1,5,6,7,9,10,12],[1,5,6,8,9,11,12],[2,3,6,9,11,12,13],[2,3,7,8,10,11,12],[2,4,5,6,10,12,14],[2,4,5,7,9,11,14],[2,4,7,8,9,12,13],[2,5,9,10,12,13,14],[2,6,7,8,9,11,14],[3,4,5,8,12,13,14],[3,4,6,8,9,10,14],[3,4,6,9,10,11,13],[3,5,6,7,8,12,13],[3,5,7,8,10,11,14],[4,5,6,7,10,11,13]]; G[7456]:=Group([(2,12)(3,11)(5,14)(7,8)(9,13)]); # Design 7457: autom. group order 2, simple, residual B[7457]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,10,11,14],[1,2,6,9,11,12,13],[1,3,5,9,12,13,14],[1,3,7,8,12,13,14],[1,4,6,8,9,11,14],[1,4,7,8,10,12,14],[1,4,7,9,10,11,13],[1,5,6,7,8,9,12],[1,5,6,10,11,13,14],[2,3,6,8,9,10,14],[2,3,7,8,11,13,14],[2,4,5,6,12,13,14],[2,4,5,7,11,12,14],[2,4,8,9,10,12,13],[2,5,7,8,9,11,13],[2,6,7,9,10,12,14],[3,4,5,9,10,13,14],[3,4,6,7,9,11,14],[3,4,6,8,11,12,13],[3,5,6,8,10,11,12],[3,5,7,9,10,11,12],[4,5,6,7,8,10,13]]; G[7457]:=Group([(1,12)(2,11)(4,10)(7,8)]); # Design 7458: autom. group order 2, simple B[7458]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,13],[1,3,5,9,11,13,14],[1,3,7,9,10,12,14],[1,4,6,8,11,12,14],[1,4,7,8,9,10,13],[1,4,7,11,12,13,14],[1,5,6,7,8,10,14],[1,5,6,8,9,11,12],[2,3,6,8,11,13,14],[2,3,7,8,10,11,12],[2,4,5,6,10,12,14],[2,4,5,9,12,13,14],[2,4,7,8,9,11,14],[2,5,7,9,10,11,14],[2,6,7,8,9,12,13],[3,4,5,7,8,12,13],[3,4,6,8,9,10,14],[3,4,6,9,10,11,13],[3,5,6,7,9,11,12],[3,5,8,10,12,13,14],[4,5,6,7,10,11,13]]; G[7458]:=Group([(2,12)(3,11)(5,14)(7,8)(9,13)]); # Design 7459: autom. group order 2, simple, residual B[7459]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,10,13,14],[1,3,5,9,11,13,14],[1,3,7,9,10,12,14],[1,4,6,8,11,12,14],[1,4,7,8,9,10,13],[1,4,7,11,12,13,14],[1,5,6,7,9,10,12],[1,5,6,8,9,11,12],[2,3,6,9,11,12,13],[2,3,8,9,10,12,14],[2,4,5,6,10,12,14],[2,4,5,7,9,11,14],[2,4,7,8,9,12,13],[2,5,7,10,11,12,13],[2,6,7,8,9,11,14],[3,4,5,8,12,13,14],[3,4,6,7,8,10,11],[3,4,6,9,10,11,13],[3,5,6,7,8,12,13],[3,5,7,8,10,11,14],[4,5,6,9,10,13,14]]; G[7459]:=Group([(2,12)(3,11)(5,14)(7,8)(9,13)]); # Design 7460: autom. group order 2, simple, residual B[7460]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,11],[1,2,6,7,9,12,13],[1,3,5,9,11,12,14],[1,3,7,8,11,13,14],[1,4,6,7,9,10,14],[1,4,7,8,12,13,14],[1,4,8,9,10,11,13],[1,5,6,8,10,12,13],[1,5,6,9,11,12,14],[2,3,6,8,11,12,13],[2,3,7,8,9,12,14],[2,4,5,6,11,13,14],[2,4,5,8,9,13,14],[2,4,7,10,11,12,14],[2,5,7,9,10,12,13],[2,6,8,9,10,11,14],[3,4,5,10,12,13,14],[3,4,6,7,9,11,13],[3,4,6,8,9,10,12],[3,5,6,7,8,10,14],[3,5,7,9,10,11,13],[4,5,6,7,8,11,12]]; G[7460]:=Group([(1,11)(2,13)(4,7)(5,9)(8,10)(12,14)]); # Design 7461: autom. group order 2, simple B[7461]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,11],[1,2,6,7,9,12,13],[1,3,5,9,11,12,14],[1,3,7,8,11,13,14],[1,4,6,7,8,9,14],[1,4,7,10,12,13,14],[1,4,8,9,10,11,13],[1,5,6,8,10,12,13],[1,5,6,9,11,12,14],[2,3,6,8,11,12,13],[2,3,7,9,10,12,14],[2,4,5,6,11,13,14],[2,4,5,9,10,13,14],[2,4,7,8,11,12,14],[2,5,7,8,9,12,13],[2,6,8,9,10,11,14],[3,4,5,8,12,13,14],[3,4,6,7,9,11,13],[3,4,6,8,9,10,12],[3,5,6,7,8,10,14],[3,5,7,9,10,11,13],[4,5,6,7,10,11,12]]; G[7461]:=Group([(1,11)(2,13)(4,7)(5,9)(8,10)(12,14)]); # Design 7462: autom. group order 2, simple, residual B[7462]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,7,10,13,14],[1,3,5,9,10,12,13],[1,3,7,8,9,11,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,14],[1,4,7,8,11,12,13],[1,5,6,8,11,12,14],[1,5,6,9,10,12,14],[2,3,6,7,9,11,12],[2,3,8,10,11,12,14],[2,4,5,6,9,11,14],[2,4,5,8,12,13,14],[2,4,7,9,10,12,14],[2,5,7,8,9,12,13],[2,6,8,9,10,11,13],[3,4,5,10,11,13,14],[3,4,6,7,12,13,14],[3,4,6,8,9,10,13],[3,5,6,7,8,10,12],[3,5,7,9,11,13,14],[4,5,6,7,8,10,11]]; G[7462]:=Group([(2,12)(3,11)(5,13)(7,9)]); # Design 7463: autom. group order 2, simple, residual B[7463]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,6,7,9,11,14],[1,3,5,8,11,12,14],[1,3,7,9,11,12,13],[1,4,6,9,10,11,13],[1,4,7,8,9,12,13],[1,4,7,8,10,12,14],[1,5,6,8,9,11,14],[1,5,6,10,12,13,14],[2,3,6,7,9,12,14],[2,3,8,9,10,13,14],[2,4,5,6,11,12,13],[2,4,5,9,12,13,14],[2,4,7,8,11,13,14],[2,5,8,9,10,11,12],[2,6,7,8,10,11,12],[3,4,5,7,10,11,14],[3,4,6,8,11,13,14],[3,4,6,9,10,12,14],[3,5,6,7,8,12,13],[3,5,7,9,10,11,13],[4,5,6,7,8,9,10]]; G[7463]:=Group([(1,11)(3,12)(4,10)(5,8)]); # Design 7464: autom. group order 2, simple B[7464]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,6,7,9,11,14],[1,3,5,8,11,12,14],[1,3,7,9,11,12,13],[1,4,6,9,10,11,13],[1,4,7,8,9,12,13],[1,4,7,8,10,12,14],[1,5,6,8,11,13,14],[1,5,6,9,10,12,14],[2,3,6,7,9,12,14],[2,3,8,9,10,13,14],[2,4,5,6,11,12,13],[2,4,5,9,12,13,14],[2,4,7,8,11,13,14],[2,5,8,9,10,11,12],[2,6,7,8,10,11,12],[3,4,5,7,10,11,14],[3,4,6,8,9,11,14],[3,4,6,10,12,13,14],[3,5,6,7,8,12,13],[3,5,7,9,10,11,13],[4,5,6,7,8,9,10]]; G[7464]:=Group([(1,11)(3,12)(4,10)(5,8)]); # Design 7465: autom. group order 2, simple, residual B[7465]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,9,10,13],[1,3,5,9,12,13,14],[1,3,7,8,9,12,14],[1,4,6,8,11,12,13],[1,4,7,8,9,10,14],[1,4,7,11,12,13,14],[1,5,6,8,10,11,14],[1,5,6,9,10,11,12],[2,3,6,9,11,12,14],[2,3,7,8,10,11,12],[2,4,5,6,8,12,14],[2,4,5,9,11,13,14],[2,4,8,9,10,12,13],[2,5,7,10,12,13,14],[2,6,7,8,9,11,14],[3,4,5,7,10,11,14],[3,4,6,7,9,11,13],[3,4,6,8,10,13,14],[3,5,6,7,8,12,13],[3,5,8,9,10,11,13],[4,5,6,7,9,10,12]]; G[7465]:=Group([(2,11)(3,12)(5,13)(7,8)(9,14)]); # Design 7466: autom. group order 2, simple, residual B[7466]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,7,9,10,14],[1,3,5,9,11,13,14],[1,3,8,9,10,12,14],[1,4,6,8,11,12,14],[1,4,7,8,9,10,13],[1,4,7,11,12,13,14],[1,5,6,7,9,11,12],[1,5,6,8,10,12,13],[2,3,6,9,11,12,13],[2,3,7,10,12,13,14],[2,4,5,6,10,12,14],[2,4,5,8,11,13,14],[2,4,7,8,9,12,13],[2,5,8,9,10,11,12],[2,6,7,8,9,11,14],[3,4,5,7,9,12,14],[3,4,6,7,8,10,11],[3,4,6,9,10,11,13],[3,5,6,7,8,12,13],[3,5,7,8,10,11,14],[4,5,6,9,10,13,14]]; G[7466]:=Group([(2,12)(3,11)(5,14)(7,8)(9,13)]); # Design 7467: autom. group order 2, simple, residual B[7467]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,7,9,10,14],[1,3,5,9,11,13,14],[1,3,8,9,10,12,14],[1,4,6,8,11,12,14],[1,4,7,8,9,10,13],[1,4,7,11,12,13,14],[1,5,6,7,9,11,12],[1,5,6,8,10,12,13],[2,3,6,9,11,12,13],[2,3,7,8,10,11,12],[2,4,5,6,10,12,14],[2,4,5,9,12,13,14],[2,4,7,8,9,11,14],[2,5,8,10,11,13,14],[2,6,7,8,9,12,13],[3,4,5,7,8,12,13],[3,4,6,7,10,13,14],[3,4,6,9,10,11,13],[3,5,6,7,8,11,14],[3,5,7,9,10,12,14],[4,5,6,8,9,10,11]]; G[7467]:=Group([(2,12)(3,11)(5,14)(7,8)(9,13)]); # Design 7468: autom. group order 2, simple, residual B[7468]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,11,14],[1,2,6,9,11,12,13],[1,3,5,9,12,13,14],[1,3,7,8,12,13,14],[1,4,6,7,9,11,14],[1,4,7,8,10,12,14],[1,4,8,9,10,11,13],[1,5,6,7,8,9,12],[1,5,6,10,11,13,14],[2,3,6,7,9,10,14],[2,3,7,8,11,13,14],[2,4,5,6,12,13,14],[2,4,5,8,11,12,14],[2,4,7,9,10,12,13],[2,5,7,8,9,11,13],[2,6,8,9,10,12,14],[3,4,5,9,10,13,14],[3,4,6,7,11,12,13],[3,4,6,8,9,11,14],[3,5,6,8,10,11,12],[3,5,7,9,10,11,12],[4,5,6,7,8,10,13]]; G[7468]:=Group([(1,12)(2,11)(4,10)(7,8)]); # Design 7469: autom. group order 2, simple, residual B[7469]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,6,9,11,13,14],[1,3,5,8,11,12,14],[1,3,7,9,11,12,13],[1,4,6,7,9,10,11],[1,4,7,8,9,12,13],[1,4,8,10,12,13,14],[1,5,6,7,10,12,14],[1,5,6,8,9,11,14],[2,3,6,9,12,13,14],[2,3,7,8,9,10,14],[2,4,5,6,11,12,13],[2,4,5,7,9,12,14],[2,4,7,8,11,13,14],[2,5,8,9,10,11,12],[2,6,7,8,10,11,12],[3,4,5,10,11,13,14],[3,4,6,7,8,11,14],[3,4,6,9,10,12,14],[3,5,6,7,8,12,13],[3,5,7,9,10,11,13],[4,5,6,8,9,10,13]]; G[7469]:=Group([(1,11)(3,12)(4,10)(5,8)]); # Design 7470: autom. group order 2, simple B[7470]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,6,9,11,13,14],[1,3,5,8,11,12,14],[1,3,7,9,11,12,13],[1,4,6,7,9,10,11],[1,4,7,8,9,12,13],[1,4,8,10,12,13,14],[1,5,6,7,8,11,14],[1,5,6,9,10,12,14],[2,3,6,9,12,13,14],[2,3,7,8,9,10,14],[2,4,5,6,11,12,13],[2,4,5,7,9,12,14],[2,4,7,8,11,13,14],[2,5,8,9,10,11,12],[2,6,7,8,10,11,12],[3,4,5,10,11,13,14],[3,4,6,7,10,12,14],[3,4,6,8,9,11,14],[3,5,6,7,8,12,13],[3,5,7,9,10,11,13],[4,5,6,8,9,10,13]]; G[7470]:=Group([(1,11)(3,12)(4,10)(5,8)]); # Design 7471: autom. group order 2, simple, residual B[7471]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,6,9,11,13,14],[1,3,5,8,11,12,14],[1,3,7,9,11,12,13],[1,4,6,7,8,12,13],[1,4,7,9,10,11,13],[1,4,8,9,10,12,14],[1,5,6,7,8,11,14],[1,5,6,9,10,12,14],[2,3,6,9,12,13,14],[2,3,7,8,9,10,14],[2,4,5,6,9,11,12],[2,4,5,7,12,13,14],[2,4,7,8,9,11,14],[2,5,8,10,11,12,13],[2,6,7,8,10,11,12],[3,4,5,10,11,13,14],[3,4,6,7,10,12,14],[3,4,6,8,11,13,14],[3,5,6,7,9,10,11],[3,5,7,8,9,12,13],[4,5,6,8,9,10,13]]; G[7471]:=Group([(1,11)(3,12)(4,10)(5,8)(9,13)]); # Design 7472: autom. group order 2, simple, residual B[7472]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,12,14],[1,2,6,9,11,12,13],[1,3,5,9,11,13,14],[1,3,7,8,12,13,14],[1,4,6,8,12,13,14],[1,4,7,8,10,11,14],[1,4,7,9,10,11,13],[1,5,6,7,8,9,10],[1,5,6,9,10,12,14],[2,3,6,7,10,13,14],[2,3,7,8,9,11,14],[2,4,5,6,11,13,14],[2,4,5,8,10,12,14],[2,4,7,9,10,12,13],[2,5,7,8,9,12,13],[2,6,8,9,10,11,14],[3,4,5,9,10,13,14],[3,4,6,7,9,12,14],[3,4,6,8,9,11,12],[3,5,6,7,10,11,12],[3,5,8,10,11,12,13],[4,5,6,7,8,11,13]]; G[7472]:=Group([(1,11)(2,12)(4,10)(9,13)]); # Design 7473: autom. group order 2, simple, residual B[7473]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,11,14],[1,3,5,9,12,13,14],[1,3,7,8,9,12,14],[1,4,6,8,11,12,13],[1,4,7,8,9,10,14],[1,4,7,11,12,13,14],[1,5,6,7,8,10,13],[1,5,6,9,10,11,12],[2,3,6,7,9,12,13],[2,3,7,8,10,11,12],[2,4,5,6,8,12,14],[2,4,5,9,11,13,14],[2,4,8,9,10,12,13],[2,5,7,10,12,13,14],[2,6,7,8,9,11,14],[3,4,5,7,10,11,14],[3,4,6,7,9,11,13],[3,4,6,8,10,13,14],[3,5,6,8,11,12,14],[3,5,8,9,10,11,13],[4,5,6,7,9,10,12]]; G[7473]:=Group([(2,11)(3,12)(5,13)(7,8)(9,14)]); # Design 7474: autom. group order 2, simple, residual B[7474]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,9,10,14],[1,2,6,9,11,13,14],[1,3,5,8,11,12,14],[1,3,7,9,11,12,13],[1,4,6,9,10,11,14],[1,4,7,8,9,12,13],[1,4,8,10,12,13,14],[1,5,6,7,8,11,13],[1,5,6,7,10,12,14],[2,3,6,9,12,13,14],[2,3,7,8,10,13,14],[2,4,5,6,11,12,13],[2,4,5,7,12,13,14],[2,4,7,8,9,11,14],[2,5,8,9,10,11,12],[2,6,7,8,10,11,12],[3,4,5,10,11,13,14],[3,4,6,7,8,11,14],[3,4,6,7,9,10,12],[3,5,6,8,9,12,14],[3,5,7,9,10,11,13],[4,5,6,8,9,10,13]]; G[7474]:=Group([(1,11)(3,12)(4,10)(5,8)]); # Design 7475: autom. group order 2, simple, residual B[7475]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,6,9,11,13,14],[1,3,5,8,11,12,14],[1,3,7,9,11,12,13],[1,4,6,8,12,13,14],[1,4,7,9,10,11,13],[1,4,8,9,10,12,14],[1,5,6,7,8,11,14],[1,5,6,7,9,10,12],[2,3,6,9,12,13,14],[2,3,7,8,9,10,14],[2,4,5,6,9,11,12],[2,4,5,7,12,13,14],[2,4,7,8,9,11,14],[2,5,8,10,11,12,13],[2,6,7,8,10,11,12],[3,4,5,10,11,13,14],[3,4,6,7,8,11,13],[3,4,6,7,10,12,14],[3,5,6,9,10,11,14],[3,5,7,8,9,12,13],[4,5,6,8,9,10,13]]; G[7475]:=Group([(1,11)(3,12)(4,10)(5,8)(9,13)]); # Design 7476: autom. group order 2, simple B[7476]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,9,10,12,13],[1,3,5,9,11,13,14],[1,3,8,9,10,12,14],[1,4,6,8,11,12,14],[1,4,7,8,9,10,13],[1,4,7,11,12,13,14],[1,5,6,7,8,10,14],[1,5,6,7,9,11,12],[2,3,6,7,9,11,14],[2,3,7,8,10,11,12],[2,4,5,6,10,12,14],[2,4,5,9,12,13,14],[2,4,7,8,9,11,14],[2,5,8,10,11,13,14],[2,6,7,8,9,12,13],[3,4,5,7,8,12,13],[3,4,6,7,10,13,14],[3,4,6,9,10,11,13],[3,5,6,8,11,12,13],[3,5,7,9,10,12,14],[4,5,6,8,9,10,11]]; G[7476]:=Group([(2,12)(3,11)(5,14)(7,8)(9,13)]); # Design 7477: autom. group order 2, simple B[7477]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,7,8,10,12],[1,3,5,7,12,13,14],[1,3,7,8,9,11,14],[1,4,6,8,11,12,13],[1,4,7,8,9,10,14],[1,4,7,11,12,13,14],[1,5,6,9,10,11,12],[1,5,6,9,10,13,14],[2,3,6,8,11,13,14],[2,3,9,10,11,12,14],[2,4,5,6,7,11,14],[2,4,5,9,12,13,14],[2,4,7,9,10,11,13],[2,5,7,8,10,12,13],[2,6,7,8,9,12,14],[3,4,5,8,10,12,14],[3,4,6,7,9,10,13],[3,4,6,8,9,12,13],[3,5,6,7,9,11,12],[3,5,7,8,10,11,13],[4,5,6,8,10,11,14]]; G[7477]:=Group([(2,12)(3,11)(5,13)(7,8)(9,14)]); # Design 7478: autom. group order 2, simple, residual B[7478]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,11,14],[1,2,6,7,9,12,13],[1,3,5,7,12,13,14],[1,3,7,8,11,12,14],[1,4,6,9,11,13,14],[1,4,7,8,10,11,13],[1,4,8,9,10,12,14],[1,5,6,7,9,10,14],[1,5,6,8,11,12,13],[2,3,6,10,11,13,14],[2,3,7,8,9,11,14],[2,4,5,6,11,12,14],[2,4,5,7,8,13,14],[2,4,7,9,10,12,13],[2,5,8,9,11,12,13],[2,6,7,8,10,12,14],[3,4,5,10,12,13,14],[3,4,6,7,9,11,12],[3,4,6,8,9,13,14],[3,5,6,8,9,10,12],[3,5,7,9,10,11,13],[4,5,6,7,8,10,11]]; G[7478]:=Group([(2,9)(3,14)(4,10)(8,11)]); # Design 7479: autom. group order 2, simple, residual B[7479]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,11,14],[1,2,6,7,9,12,13],[1,3,5,7,12,13,14],[1,3,7,8,11,12,14],[1,4,6,9,11,13,14],[1,4,7,8,10,11,13],[1,4,8,9,10,12,14],[1,5,6,7,9,10,14],[1,5,6,8,11,12,13],[2,3,6,10,11,13,14],[2,3,7,8,9,11,14],[2,4,5,6,8,12,14],[2,4,5,7,11,13,14],[2,4,7,9,10,12,13],[2,5,8,9,11,12,13],[2,6,7,8,10,12,14],[3,4,5,10,12,13,14],[3,4,6,7,9,11,12],[3,4,6,8,9,13,14],[3,5,6,9,10,11,12],[3,5,7,8,9,10,13],[4,5,6,7,8,10,11]]; G[7479]:=Group([(2,9)(3,14)(4,10)(8,11)]); # Design 7480: autom. group order 2, simple, residual B[7480]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,12,14],[1,2,6,7,9,11,14],[1,3,5,7,9,12,14],[1,3,7,8,11,13,14],[1,4,6,9,10,12,14],[1,4,7,8,9,10,13],[1,4,8,9,11,12,13],[1,5,6,7,8,10,13],[1,5,6,11,12,13,14],[2,3,6,8,9,12,13],[2,3,7,9,10,13,14],[2,4,5,6,8,13,14],[2,4,5,9,11,13,14],[2,4,7,10,12,13,14],[2,5,7,8,10,11,12],[2,6,7,8,9,11,12],[3,4,5,7,11,12,13],[3,4,6,7,8,12,14],[3,4,6,8,10,11,14],[3,5,6,9,10,12,13],[3,5,8,9,10,11,14],[4,5,6,7,9,10,11]]; G[7480]:=Group([(1,14)(3,13)(6,9)(7,11)]); # Design 7481: autom. group order 2, simple, residual B[7481]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,12,14],[1,2,6,7,9,11,14],[1,3,5,7,9,12,14],[1,3,7,8,11,13,14],[1,4,6,9,10,12,14],[1,4,7,8,9,12,13],[1,4,8,9,10,11,13],[1,5,6,7,8,10,13],[1,5,6,11,12,13,14],[2,3,6,8,9,12,13],[2,3,7,9,10,13,14],[2,4,5,6,8,13,14],[2,4,5,9,11,13,14],[2,4,7,10,12,13,14],[2,5,7,8,10,11,12],[2,6,7,8,9,11,12],[3,4,5,7,11,12,13],[3,4,6,7,8,10,14],[3,4,6,8,11,12,14],[3,5,6,9,10,12,13],[3,5,8,9,10,11,14],[4,5,6,7,9,10,11]]; G[7481]:=Group([(1,14)(3,13)(6,9)(7,11)]); # Design 7482: autom. group order 2, simple, residual B[7482]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,13,14],[1,2,6,7,9,11,14],[1,3,5,8,11,12,14],[1,3,7,9,11,12,13],[1,4,6,7,8,12,13],[1,4,7,9,10,11,13],[1,4,8,9,10,12,14],[1,5,6,7,10,12,14],[1,5,6,8,11,13,14],[2,3,6,7,9,12,14],[2,3,7,8,10,13,14],[2,4,5,6,11,12,13],[2,4,5,9,12,13,14],[2,4,7,8,11,13,14],[2,5,7,8,10,11,12],[2,6,8,9,10,11,12],[3,4,5,7,10,11,14],[3,4,6,8,9,11,14],[3,4,6,10,12,13,14],[3,5,6,9,10,11,13],[3,5,7,8,9,12,13],[4,5,6,7,8,9,10]]; G[7482]:=Group([(1,11)(3,12)(4,10)(5,8)(7,9)]); # Design 7483: autom. group order 2, simple, residual B[7483]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,13,14],[1,2,6,7,9,11,14],[1,3,5,8,11,12,14],[1,3,7,9,11,12,13],[1,4,6,7,8,12,14],[1,4,7,9,10,11,13],[1,4,8,9,10,12,14],[1,5,6,7,10,12,13],[1,5,6,8,11,13,14],[2,3,6,7,9,12,14],[2,3,7,8,10,13,14],[2,4,5,6,11,12,13],[2,4,5,9,12,13,14],[2,4,7,8,11,13,14],[2,5,7,8,10,11,12],[2,6,8,9,10,11,12],[3,4,5,7,10,11,14],[3,4,6,8,9,11,13],[3,4,6,10,12,13,14],[3,5,6,9,10,11,14],[3,5,7,8,9,12,13],[4,5,6,7,8,9,10]]; G[7483]:=Group([(1,11)(3,12)(4,10)(5,8)(7,9)]); # Design 7484: autom. group order 2, simple, residual B[7484]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,13,14],[1,2,6,7,9,11,14],[1,3,5,8,11,12,14],[1,3,7,9,11,12,13],[1,4,6,9,10,11,14],[1,4,7,8,9,12,13],[1,4,7,8,10,12,14],[1,5,6,7,8,11,13],[1,5,6,10,12,13,14],[2,3,6,7,9,12,14],[2,3,7,8,10,13,14],[2,4,5,6,11,12,13],[2,4,5,7,12,13,14],[2,4,8,9,11,13,14],[2,5,8,9,10,11,12],[2,6,7,8,10,11,12],[3,4,5,7,10,11,14],[3,4,6,8,11,13,14],[3,4,6,9,10,12,13],[3,5,6,8,9,12,14],[3,5,7,9,10,11,13],[4,5,6,7,8,9,10]]; G[7484]:=Group([(1,11)(3,12)(4,10)(5,8)]); # Design 7485: autom. group order 2, simple, residual B[7485]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,13,14],[1,2,6,7,9,10,13],[1,3,5,9,12,13,14],[1,3,7,8,10,12,14],[1,4,6,8,11,12,13],[1,4,7,8,9,10,14],[1,4,7,9,11,12,13],[1,5,6,7,11,12,14],[1,5,6,8,9,10,11],[2,3,6,7,8,11,12],[2,3,9,10,11,12,14],[2,4,5,6,9,12,14],[2,4,5,7,10,12,13],[2,4,7,8,9,11,14],[2,5,7,8,11,13,14],[2,6,8,9,10,12,13],[3,4,5,8,10,11,13],[3,4,6,7,10,13,14],[3,4,6,9,11,13,14],[3,5,6,7,9,10,11],[3,5,7,8,9,12,13],[4,5,6,8,10,12,14]]; G[7485]:=Group([(2,11)(3,12)(5,13)(7,8)]); # Design 7486: autom. group order 2, simple, residual B[7486]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,9,10,13,14],[1,3,5,7,10,12,13],[1,3,7,8,9,11,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,14],[1,4,7,8,11,12,13],[1,5,6,7,10,12,14],[1,5,6,8,11,12,14],[2,3,6,7,9,11,12],[2,3,8,10,11,12,14],[2,4,5,6,7,11,14],[2,4,5,8,12,13,14],[2,4,7,9,10,12,14],[2,5,7,8,9,12,13],[2,6,7,8,10,11,13],[3,4,5,10,11,13,14],[3,4,6,7,8,10,13],[3,4,6,9,12,13,14],[3,5,6,8,9,10,12],[3,5,7,9,11,13,14],[4,5,6,8,9,10,11]]; G[7486]:=Group([(2,12)(3,11)(5,13)(7,9)]); # Design 7487: autom. group order 2, simple, residual B[7487]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,13,14],[1,2,6,8,9,11,12],[1,3,5,9,11,12,13],[1,3,7,8,10,11,14],[1,4,6,9,12,13,14],[1,4,7,8,10,12,13],[1,4,7,9,11,13,14],[1,5,6,7,8,9,14],[1,5,6,7,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,11,13],[2,4,5,6,7,11,13],[2,4,5,9,10,12,14],[2,4,7,9,10,11,14],[2,5,8,11,12,13,14],[2,6,7,8,9,10,12],[3,4,5,7,8,12,14],[3,4,6,8,9,10,13],[3,4,6,8,11,12,14],[3,5,6,9,10,11,14],[3,5,7,9,10,12,13],[4,5,6,8,10,11,13]]; G[7487]:=Group([(1,10)(2,13)(3,8)(5,6)(7,11)]); # Design 7488: autom. group order 2, simple, residual B[7488]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,13,14],[1,2,6,8,11,12,13],[1,3,5,9,11,12,14],[1,3,7,8,9,10,11],[1,4,6,9,12,13,14],[1,4,7,8,10,12,14],[1,4,7,9,11,13,14],[1,5,6,7,8,9,13],[1,5,6,7,10,11,12],[2,3,6,7,9,12,14],[2,3,7,8,11,13,14],[2,4,5,6,7,11,14],[2,4,5,9,10,12,13],[2,4,7,9,10,11,13],[2,5,8,9,11,12,14],[2,6,7,8,9,10,12],[3,4,5,7,8,12,13],[3,4,6,8,9,10,14],[3,4,6,8,11,12,13],[3,5,6,9,10,11,13],[3,5,7,10,12,13,14],[4,5,6,8,10,11,14]]; G[7488]:=Group([(1,10)(2,14)(3,8)(5,6)(7,11)]); # Design 7489: autom. group order 2, simple, residual B[7489]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,13,14],[1,2,6,9,11,12,14],[1,3,5,11,12,13,14],[1,3,7,8,9,11,13],[1,4,6,8,12,13,14],[1,4,7,8,10,11,14],[1,4,7,9,10,12,13],[1,5,6,7,8,9,14],[1,5,6,7,10,11,12],[2,3,6,7,12,13,14],[2,3,7,9,10,11,14],[2,4,5,6,7,11,13],[2,4,5,8,10,12,14],[2,4,7,8,11,13,14],[2,5,8,9,11,12,13],[2,6,7,8,9,10,12],[3,4,5,7,9,12,14],[3,4,6,8,9,11,12],[3,4,6,9,10,13,14],[3,5,6,8,10,11,14],[3,5,7,8,10,12,13],[4,5,6,9,10,11,13]]; G[7489]:=Group([(1,10)(2,13)(3,9)(5,6)(7,11)(8,14)]); # Design 7490: autom. group order 2, simple B[7490]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,10,11,13],[1,2,6,8,11,12,13],[1,3,5,8,11,12,14],[1,3,7,8,9,10,14],[1,4,6,7,9,11,12],[1,4,7,8,12,13,14],[1,4,9,10,11,13,14],[1,5,6,7,8,9,13],[1,5,6,9,10,12,14],[2,3,6,7,9,11,14],[2,3,7,9,12,13,14],[2,4,5,7,12,13,14],[2,4,5,8,9,11,14],[2,4,6,8,9,10,13],[2,5,6,8,10,12,14],[2,7,8,9,10,11,12],[3,4,5,9,10,12,13],[3,4,6,7,8,10,12],[3,4,6,8,11,13,14],[3,5,6,9,11,12,13],[3,5,7,8,10,11,13],[4,5,6,7,10,11,14]]; G[7490]:=Group([(1,8)(3,9)(6,11)(7,14)(12,13)]); # Design 7491: autom. group order 2, simple B[7491]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,8,12,14],[1,3,5,7,9,12,13],[1,3,7,8,9,10,14],[1,4,6,7,9,11,12],[1,4,7,8,11,13,14],[1,4,9,10,12,13,14],[1,5,6,8,11,12,13],[1,5,6,9,10,11,14],[2,3,6,9,11,12,13],[2,3,7,9,11,13,14],[2,4,5,7,11,13,14],[2,4,5,8,9,12,14],[2,4,6,8,9,10,13],[2,5,6,7,10,12,14],[2,7,8,9,10,11,12],[3,4,5,10,11,12,14],[3,4,6,7,8,10,11],[3,4,6,8,12,13,14],[3,5,6,8,9,11,14],[3,5,7,8,10,12,13],[4,5,6,7,9,10,13]]; G[7491]:=Group([(1,8)(3,9)(6,12)(7,14)(11,13)]); # Design 7492: autom. group order 2, simple B[7492]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,8,12,14],[1,3,5,9,11,12,14],[1,3,7,8,9,10,14],[1,4,6,9,12,13,14],[1,4,7,8,11,13,14],[1,4,7,9,10,12,13],[1,5,6,7,9,10,11],[1,5,6,8,11,12,13],[2,3,6,9,11,12,13],[2,3,7,9,11,13,14],[2,4,5,7,11,13,14],[2,4,5,8,9,12,14],[2,4,6,8,9,10,13],[2,5,6,7,10,12,14],[2,7,8,9,10,11,12],[3,4,5,7,10,12,13],[3,4,6,7,8,11,12],[3,4,6,8,10,11,14],[3,5,6,7,8,9,13],[3,5,8,10,12,13,14],[4,5,6,9,10,11,14]]; G[7492]:=Group([(1,8)(3,9)(6,12)(7,14)(11,13)]); # Design 7493: autom. group order 2, simple B[7493]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,9,12,13,14],[1,3,5,9,11,12,14],[1,3,7,8,9,10,14],[1,4,6,7,8,12,14],[1,4,7,8,11,13,14],[1,4,7,9,10,12,13],[1,5,6,7,9,10,11],[1,5,6,8,11,12,13],[2,3,6,7,8,11,12],[2,3,7,9,11,13,14],[2,4,5,7,11,13,14],[2,4,5,8,9,12,14],[2,4,6,8,9,10,13],[2,5,6,7,10,12,14],[2,7,8,9,10,11,12],[3,4,5,7,10,12,13],[3,4,6,8,10,11,14],[3,4,6,9,11,12,13],[3,5,6,7,8,9,13],[3,5,8,10,12,13,14],[4,5,6,9,10,11,14]]; G[7493]:=Group([(1,8)(3,9)(6,12)(7,14)(11,13)]); # Design 7494: autom. group order 2, simple, residual B[7494]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,10,11,13,14],[1,2,6,8,9,10,13],[1,3,5,8,10,12,13],[1,3,7,8,9,11,14],[1,4,6,7,11,12,13],[1,4,7,8,9,10,14],[1,4,9,11,12,13,14],[1,5,6,7,8,11,12],[1,5,6,9,10,12,14],[2,3,6,9,10,11,12],[2,3,7,9,12,13,14],[2,4,5,7,10,11,14],[2,4,5,8,12,13,14],[2,4,6,8,9,11,13],[2,5,7,8,9,11,12],[2,6,7,8,10,12,14],[3,4,5,6,9,12,14],[3,4,6,8,10,11,14],[3,4,7,8,10,12,13],[3,5,6,8,11,13,14],[3,5,7,9,10,11,13],[4,5,6,7,9,10,13]]; G[7494]:=Group([(2,12)(3,11)(5,13)(8,14)]); # Design 7495: autom. group order 2, simple, residual B[7495]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,13,14],[1,3,5,10,12,13,14],[1,3,7,8,9,11,14],[1,4,6,7,11,12,13],[1,4,7,8,9,10,14],[1,4,9,11,12,13,14],[1,5,6,7,8,11,12],[1,5,6,8,9,10,12],[2,3,6,9,10,11,12],[2,3,7,8,9,12,13],[2,4,5,7,10,11,14],[2,4,5,8,12,13,14],[2,4,6,8,9,11,13],[2,5,7,9,11,12,14],[2,6,7,8,10,12,14],[3,4,5,6,9,12,14],[3,4,6,8,10,11,14],[3,4,7,8,10,12,13],[3,5,6,8,11,13,14],[3,5,7,9,10,11,13],[4,5,6,7,9,10,13]]; G[7495]:=Group([(2,12)(3,11)(5,13)(8,14)]); # Design 7496: autom. group order 2, simple, residual B[7496]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,7,8,10,13],[1,3,5,9,12,13,14],[1,3,7,8,9,11,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,14],[1,4,7,8,11,12,13],[1,5,6,8,9,10,12],[1,5,6,10,11,12,14],[2,3,6,7,9,11,12],[2,3,8,9,10,12,13],[2,4,5,8,12,13,14],[2,4,5,9,10,11,14],[2,4,6,7,9,12,14],[2,5,7,8,10,11,12],[2,6,8,9,11,13,14],[3,4,5,6,8,11,13],[3,4,6,8,10,11,14],[3,4,7,10,12,13,14],[3,5,6,7,8,12,14],[3,5,7,9,10,11,13],[4,5,6,7,9,10,13]]; G[7496]:=Group([(2,12)(3,11)(5,13)(7,9)]); # Design 7497: autom. group order 2, simple B[7497]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,7,10,13,14],[1,3,5,9,10,12,13],[1,3,7,8,9,11,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,14],[1,4,7,8,11,12,13],[1,5,6,8,11,12,14],[1,5,6,9,10,12,14],[2,3,6,7,9,11,12],[2,3,8,10,11,12,14],[2,4,5,8,12,13,14],[2,4,5,9,10,11,14],[2,4,6,9,11,13,14],[2,5,7,8,9,12,13],[2,6,7,8,9,10,12],[3,4,5,6,7,12,14],[3,4,6,8,9,10,13],[3,4,7,10,12,13,14],[3,5,6,8,10,11,13],[3,5,7,9,11,13,14],[4,5,6,7,8,10,11]]; G[7497]:=Group([(2,12)(3,11)(5,13)(7,9)]); # Design 7498: autom. group order 2, simple, residual B[7498]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,7,9,10,14],[1,3,5,9,11,13,14],[1,3,8,9,10,12,14],[1,4,6,8,11,12,14],[1,4,7,8,9,10,13],[1,4,7,11,12,13,14],[1,5,6,7,9,11,12],[1,5,6,8,10,12,13],[2,3,6,9,11,12,13],[2,3,7,10,12,13,14],[2,4,5,7,8,12,14],[2,4,5,9,12,13,14],[2,4,6,8,10,11,13],[2,5,8,9,10,11,12],[2,6,7,8,9,11,14],[3,4,5,6,10,11,14],[3,4,6,7,9,10,12],[3,4,7,8,9,11,13],[3,5,6,7,8,12,13],[3,5,7,8,10,11,14],[4,5,6,9,10,13,14]]; G[7498]:=Group([(2,12)(3,11)(5,14)(7,8)(9,13)]); # Design 7499: autom. group order 2, simple B[7499]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,7,9,10,14],[1,3,5,9,11,13,14],[1,3,8,9,10,12,14],[1,4,6,8,11,12,14],[1,4,7,8,9,10,13],[1,4,7,11,12,13,14],[1,5,6,7,9,11,12],[1,5,6,8,10,12,13],[2,3,6,9,11,12,13],[2,3,7,8,10,11,12],[2,4,5,7,8,12,14],[2,4,5,9,12,13,14],[2,4,6,9,10,12,13],[2,5,8,10,11,13,14],[2,6,7,8,9,11,14],[3,4,5,6,10,11,14],[3,4,6,7,10,13,14],[3,4,7,8,9,11,13],[3,5,6,7,8,12,13],[3,5,7,9,10,12,14],[4,5,6,8,9,10,11]]; G[7499]:=Group([(2,12)(3,11)(5,14)(7,8)(9,13)]); # Design 7500: autom. group order 2, simple, residual B[7500]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,13],[1,3,5,9,11,13,14],[1,3,7,8,9,12,14],[1,4,6,7,11,12,14],[1,4,7,8,9,10,13],[1,4,8,11,12,13,14],[1,5,6,7,8,10,14],[1,5,6,9,10,11,12],[2,3,6,8,9,11,14],[2,3,7,8,10,11,12],[2,4,5,8,10,12,14],[2,4,5,9,12,13,14],[2,4,6,7,9,11,14],[2,5,7,10,11,13,14],[2,6,7,8,9,12,13],[3,4,5,6,7,12,13],[3,4,6,8,10,13,14],[3,4,7,9,10,11,13],[3,5,6,8,11,12,13],[3,5,7,9,10,12,14],[4,5,6,8,9,10,11]]; G[7500]:=Group([(2,12)(3,11)(5,14)(9,13)]); # Design 7501: autom. group order 2, simple, residual B[7501]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,13],[1,3,5,9,11,13,14],[1,3,7,8,9,12,14],[1,4,6,7,11,12,14],[1,4,7,8,9,10,13],[1,4,8,11,12,13,14],[1,5,6,7,8,10,14],[1,5,6,9,10,11,12],[2,3,6,8,11,13,14],[2,3,7,8,10,11,12],[2,4,5,8,10,12,14],[2,4,5,9,12,13,14],[2,4,6,7,9,11,14],[2,5,7,9,10,11,14],[2,6,7,8,9,12,13],[3,4,5,6,7,12,13],[3,4,6,8,9,10,14],[3,4,7,9,10,11,13],[3,5,6,8,9,11,12],[3,5,7,10,12,13,14],[4,5,6,8,10,11,13]]; G[7501]:=Group([(2,12)(3,11)(5,14)(9,13)]); # Design 7502: autom. group order 2, simple, residual B[7502]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,11,14],[1,3,5,9,12,13,14],[1,3,7,8,9,12,14],[1,4,6,8,11,12,13],[1,4,7,8,9,10,14],[1,4,7,11,12,13,14],[1,5,6,7,8,10,13],[1,5,6,9,10,11,12],[2,3,6,8,12,13,14],[2,3,7,8,10,11,12],[2,4,5,7,10,12,14],[2,4,5,9,11,13,14],[2,4,6,7,9,12,13],[2,5,8,9,10,12,13],[2,6,7,8,9,11,14],[3,4,5,6,8,11,14],[3,4,6,7,9,10,13],[3,4,8,9,10,11,13],[3,5,6,7,9,11,12],[3,5,7,10,11,13,14],[4,5,6,8,10,12,14]]; G[7502]:=Group([(2,11)(3,12)(5,13)(7,8)(9,14)]); # Design 7503: autom. group order 2, simple, residual B[7503]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,10,13,14],[1,3,5,9,12,13,14],[1,3,7,8,9,12,14],[1,4,6,8,11,12,13],[1,4,7,8,9,10,14],[1,4,7,11,12,13,14],[1,5,6,7,9,10,11],[1,5,6,9,10,11,12],[2,3,6,9,11,12,14],[2,3,7,8,10,11,12],[2,4,5,7,10,12,14],[2,4,5,9,11,13,14],[2,4,6,7,9,12,13],[2,5,8,9,10,12,13],[2,6,7,8,9,11,14],[3,4,5,6,8,11,14],[3,4,6,7,9,10,13],[3,4,8,9,10,11,13],[3,5,6,7,8,12,13],[3,5,7,10,11,13,14],[4,5,6,8,10,12,14]]; G[7503]:=Group([(2,11)(3,12)(5,13)(7,8)(9,14)]); # Design 7504: autom. group order 2, simple B[7504]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,7,8,10,12],[1,3,5,7,12,13,14],[1,3,7,8,9,11,14],[1,4,6,8,11,12,13],[1,4,7,8,9,10,14],[1,4,7,11,12,13,14],[1,5,6,9,10,11,12],[1,5,6,9,10,13,14],[2,3,6,8,11,13,14],[2,3,7,9,10,12,13],[2,4,5,7,10,11,14],[2,4,5,9,12,13,14],[2,4,6,7,9,11,13],[2,5,8,10,11,12,14],[2,6,7,8,9,12,14],[3,4,5,6,8,12,14],[3,4,6,9,10,11,14],[3,4,8,9,10,12,13],[3,5,6,7,9,11,12],[3,5,7,8,10,11,13],[4,5,6,7,8,10,13]]; G[7504]:=Group([(2,12)(3,11)(5,13)(7,8)(9,14)]); # Design 7505: autom. group order 2, simple B[7505]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,7,8,10,12],[1,3,5,7,12,13,14],[1,3,7,8,9,11,14],[1,4,6,8,11,12,13],[1,4,7,8,9,10,14],[1,4,7,11,12,13,14],[1,5,6,9,10,11,12],[1,5,6,9,10,13,14],[2,3,6,9,11,12,14],[2,3,8,10,11,13,14],[2,4,5,7,10,11,14],[2,4,5,9,12,13,14],[2,4,6,7,9,11,13],[2,5,7,8,10,12,13],[2,6,7,8,9,12,14],[3,4,5,6,8,12,14],[3,4,6,7,9,10,13],[3,4,8,9,10,12,13],[3,5,6,7,8,11,13],[3,5,7,9,10,11,12],[4,5,6,8,10,11,14]]; G[7505]:=Group([(2,12)(3,11)(5,13)(7,8)(9,14)]); # Design 7506: autom. group order 2, simple B[7506]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,7,8,10,12],[1,3,5,7,12,13,14],[1,3,7,8,9,11,14],[1,4,6,8,11,12,13],[1,4,7,8,9,10,14],[1,4,7,11,12,13,14],[1,5,6,9,10,11,12],[1,5,6,9,10,13,14],[2,3,6,8,11,13,14],[2,3,9,10,11,12,14],[2,4,5,7,10,11,14],[2,4,5,9,12,13,14],[2,4,6,7,9,11,13],[2,5,7,8,10,12,13],[2,6,7,8,9,12,14],[3,4,5,6,8,12,14],[3,4,6,7,9,10,13],[3,4,8,9,10,12,13],[3,5,6,7,9,11,12],[3,5,7,8,10,11,13],[4,5,6,8,10,11,14]]; G[7506]:=Group([(2,12)(3,11)(5,13)(7,8)(9,14)]); # Design 7507: autom. group order 2, simple, residual B[7507]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,11,13,14],[1,3,5,7,8,10,14],[1,3,8,9,11,13,14],[1,4,6,7,8,9,12],[1,4,7,9,12,13,14],[1,4,8,10,11,12,14],[1,5,6,7,9,10,11],[1,5,6,9,10,12,13],[2,3,6,8,9,12,13],[2,3,7,9,10,12,14],[2,4,5,7,12,13,14],[2,4,5,9,10,11,13],[2,4,6,8,9,10,14],[2,5,7,8,9,11,14],[2,6,7,8,10,11,12],[3,4,5,6,11,12,14],[3,4,6,7,8,11,13],[3,4,7,9,10,11,13],[3,5,6,9,11,12,14],[3,5,7,8,10,12,13],[4,5,6,8,10,13,14]]; G[7507]:=Group([(1,10)(2,8)(3,14)(5,6)(7,13)(11,12)]); # Design 7508: autom. group order 2, simple, residual B[7508]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,8,10,13,14],[1,3,5,7,12,13,14],[1,3,7,8,9,11,14],[1,4,6,8,11,12,13],[1,4,7,8,9,10,14],[1,4,7,11,12,13,14],[1,5,6,7,9,10,12],[1,5,6,9,10,11,12],[2,3,6,7,8,11,12],[2,3,7,9,10,12,13],[2,4,5,7,10,11,14],[2,4,5,9,12,13,14],[2,4,6,7,9,11,13],[2,5,8,10,11,12,14],[2,6,7,8,9,12,14],[3,4,5,6,8,12,14],[3,4,6,9,10,11,14],[3,4,8,9,10,12,13],[3,5,6,9,11,13,14],[3,5,7,8,10,11,13],[4,5,6,7,8,10,13]]; G[7508]:=Group([(2,12)(3,11)(5,13)(7,8)(9,14)]); # Design 7509: autom. group order 2, simple, residual B[7509]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,8,9,10,13],[1,3,5,7,12,13,14],[1,3,7,8,9,11,14],[1,4,6,8,11,12,13],[1,4,7,8,9,10,14],[1,4,7,9,11,12,13],[1,5,6,7,9,10,12],[1,5,6,10,11,12,14],[2,3,6,7,8,11,12],[2,3,7,9,10,12,13],[2,4,5,7,10,11,14],[2,4,5,9,12,13,14],[2,4,6,7,8,12,14],[2,5,8,9,10,11,12],[2,6,7,9,11,13,14],[3,4,5,6,9,11,13],[3,4,6,9,10,11,14],[3,4,8,10,12,13,14],[3,5,6,8,9,12,14],[3,5,7,8,10,11,13],[4,5,6,7,8,10,13]]; G[7509]:=Group([(2,12)(3,11)(5,13)(7,8)]); # Design 7510: autom. group order 2, simple, residual B[7510]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,8,10,12,14],[1,3,5,7,12,13,14],[1,3,7,8,9,11,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,14],[1,4,7,11,12,13,14],[1,5,6,7,9,10,13],[1,5,6,8,10,11,12],[2,3,6,7,9,11,12],[2,3,9,10,11,13,14],[2,4,5,7,10,11,14],[2,4,5,8,12,13,14],[2,4,6,7,8,11,13],[2,5,7,9,10,12,13],[2,6,7,8,9,12,14],[3,4,5,6,9,12,14],[3,4,6,7,8,10,13],[3,4,8,9,10,12,13],[3,5,6,8,11,13,14],[3,5,7,8,10,11,12],[4,5,6,9,10,11,14]]; G[7510]:=Group([(2,12)(3,11)(5,13)(7,9)(8,14)]); # Design 7511: autom. group order 2, simple, residual B[7511]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,8,10,13,14],[1,3,5,7,12,13,14],[1,3,7,8,9,11,14],[1,4,6,8,11,12,13],[1,4,7,8,9,10,14],[1,4,7,11,12,13,14],[1,5,6,7,9,10,12],[1,5,6,9,10,11,12],[2,3,6,7,8,11,12],[2,3,9,10,11,12,14],[2,4,5,7,10,11,14],[2,4,5,9,12,13,14],[2,4,6,7,9,11,13],[2,5,7,8,10,12,13],[2,6,7,8,9,12,14],[3,4,5,6,8,12,14],[3,4,6,7,9,10,13],[3,4,8,9,10,12,13],[3,5,6,9,11,13,14],[3,5,7,8,10,11,13],[4,5,6,8,10,11,14]]; G[7511]:=Group([(2,12)(3,11)(5,13)(7,8)(9,14)]); # Design 7512: autom. group order 2, simple B[7512]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,9,10,13,14],[1,3,5,7,10,12,13],[1,3,7,8,9,11,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,14],[1,4,7,8,11,12,13],[1,5,6,7,10,12,14],[1,5,6,8,11,12,14],[2,3,6,7,9,11,12],[2,3,8,10,11,12,14],[2,4,5,7,10,11,14],[2,4,5,8,12,13,14],[2,4,6,7,11,13,14],[2,5,7,8,9,12,13],[2,6,7,8,9,10,12],[3,4,5,6,9,12,14],[3,4,6,7,8,10,13],[3,4,9,10,12,13,14],[3,5,6,8,10,11,13],[3,5,7,9,11,13,14],[4,5,6,8,9,10,11]]; G[7512]:=Group([(2,12)(3,11)(5,13)(7,9)]); # Design 7513: autom. group order 2, simple B[7513]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,8,10,12,14],[1,3,5,7,12,13,14],[1,3,7,8,9,11,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,14],[1,4,7,11,12,13,14],[1,5,6,7,9,10,13],[1,5,6,8,10,11,12],[2,3,6,9,11,13,14],[2,3,7,9,10,11,12],[2,4,5,7,10,11,14],[2,4,5,8,12,13,14],[2,4,6,7,8,11,13],[2,5,7,9,10,12,13],[2,6,7,8,9,12,14],[3,4,5,6,9,12,14],[3,4,6,7,8,10,13],[3,4,8,9,10,12,13],[3,5,6,7,8,11,12],[3,5,8,10,11,13,14],[4,5,6,9,10,11,14]]; G[7513]:=Group([(2,12)(3,11)(5,13)(7,9)(8,14)]); # Design 7514: autom. group order 2, simple, residual B[7514]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,8,10,13,14],[1,3,5,7,12,13,14],[1,3,7,8,9,11,14],[1,4,6,8,11,12,13],[1,4,7,8,9,10,14],[1,4,7,11,12,13,14],[1,5,6,7,9,10,12],[1,5,6,9,10,11,12],[2,3,6,9,11,12,14],[2,3,7,8,10,11,12],[2,4,5,7,10,11,14],[2,4,5,9,12,13,14],[2,4,6,7,9,11,13],[2,5,7,8,10,12,13],[2,6,7,8,9,12,14],[3,4,5,6,8,12,14],[3,4,6,7,9,10,13],[3,4,8,9,10,12,13],[3,5,6,7,8,11,13],[3,5,9,10,11,13,14],[4,5,6,8,10,11,14]]; G[7514]:=Group([(2,12)(3,11)(5,13)(7,8)(9,14)]); # Design 7515: autom. group order 2, simple, residual B[7515]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,6,8,10,12,14],[1,3,5,7,9,10,14],[1,3,7,8,9,12,13],[1,4,6,7,11,12,14],[1,4,7,8,11,13,14],[1,4,8,9,10,11,13],[1,5,6,8,9,11,12],[1,5,6,9,10,13,14],[2,3,6,9,11,13,14],[2,3,7,8,9,11,14],[2,4,5,8,10,13,14],[2,4,5,9,11,12,14],[2,4,7,9,10,12,13],[2,5,6,7,8,11,13],[2,6,7,8,9,10,12],[3,4,5,6,8,12,13],[3,4,6,7,8,10,14],[3,4,6,9,12,13,14],[3,5,7,10,11,12,13],[3,5,8,10,11,12,14],[4,5,6,7,9,10,11]]; G[7515]:=Group([(1,10)(2,11)(4,12)(6,13)(9,14)]); # Design 7516: autom. group order 2, simple, residual B[7516]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,6,8,10,12,14],[1,3,5,7,9,10,14],[1,3,7,8,12,13,14],[1,4,6,7,9,11,12],[1,4,7,8,9,11,13],[1,4,8,10,11,13,14],[1,5,6,8,9,10,13],[1,5,6,9,11,12,14],[2,3,6,9,11,13,14],[2,3,7,8,9,11,14],[2,4,5,8,11,12,14],[2,4,5,9,10,13,14],[2,4,7,9,10,12,13],[2,5,6,7,8,11,13],[2,6,7,8,9,10,12],[3,4,5,6,8,12,13],[3,4,6,7,8,10,14],[3,4,6,9,12,13,14],[3,5,7,10,11,12,13],[3,5,8,9,10,11,12],[4,5,6,7,10,11,14]]; G[7516]:=Group([(1,10)(2,11)(4,12)(6,13)]); # Design 7517: autom. group order 2, simple, residual B[7517]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,6,7,10,12,14],[1,3,5,7,8,11,14],[1,3,7,9,10,13,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,13],[1,4,7,8,11,12,14],[1,5,6,8,9,10,12],[1,5,6,9,11,13,14],[2,3,6,8,9,11,14],[2,3,7,9,12,13,14],[2,4,5,7,9,11,13],[2,4,5,9,10,12,14],[2,4,8,10,11,13,14],[2,5,6,7,8,10,13],[2,6,7,8,9,11,12],[3,4,5,6,12,13,14],[3,4,6,7,8,12,13],[3,4,6,8,9,10,14],[3,5,7,9,10,11,12],[3,5,8,10,11,12,13],[4,5,6,7,10,11,14]]; G[7517]:=Group([(1,11)(2,10)(4,12)(6,13)(7,8)]); # Design 7518: autom. group order 2, simple, residual B[7518]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,11,14],[1,2,6,7,9,12,13],[1,3,5,7,12,13,14],[1,3,7,8,11,12,14],[1,4,6,9,11,13,14],[1,4,7,8,10,11,13],[1,4,8,9,10,12,14],[1,5,6,7,9,10,14],[1,5,6,8,11,12,13],[2,3,6,10,11,13,14],[2,3,7,8,9,11,14],[2,4,5,7,11,13,14],[2,4,5,8,12,13,14],[2,4,7,9,10,12,13],[2,5,6,8,9,11,12],[2,6,7,8,10,12,14],[3,4,5,6,10,12,14],[3,4,6,7,9,11,12],[3,4,6,8,9,13,14],[3,5,7,8,9,10,13],[3,5,9,10,11,12,13],[4,5,6,7,8,10,11]]; G[7518]:=Group([(2,9)(3,14)(4,10)(8,11)]); # Design 7519: autom. group order 2, simple, residual B[7519]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,11,14],[1,2,6,7,9,12,13],[1,3,5,7,12,13,14],[1,3,7,8,11,12,14],[1,4,6,9,11,13,14],[1,4,7,8,10,11,13],[1,4,8,9,10,12,14],[1,5,6,7,9,10,14],[1,5,6,8,11,12,13],[2,3,6,10,11,13,14],[2,3,7,8,9,11,14],[2,4,5,7,8,13,14],[2,4,5,11,12,13,14],[2,4,7,9,10,12,13],[2,5,6,8,9,11,12],[2,6,7,8,10,12,14],[3,4,5,6,10,12,14],[3,4,6,7,9,11,12],[3,4,6,8,9,13,14],[3,5,7,9,10,11,13],[3,5,8,9,10,12,13],[4,5,6,7,8,10,11]]; G[7519]:=Group([(2,9)(3,14)(4,10)(8,11)]); # Design 7520: autom. group order 2, simple, residual B[7520]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,6,9,10,12,14],[1,3,5,7,8,10,14],[1,3,7,9,12,13,14],[1,4,6,7,8,11,12],[1,4,7,8,9,11,13],[1,4,9,10,11,13,14],[1,5,6,7,11,12,14],[1,5,6,8,9,10,13],[2,3,6,8,11,13,14],[2,3,7,8,9,11,14],[2,4,5,7,10,13,14],[2,4,5,9,11,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,11,13],[2,6,7,8,9,10,12],[3,4,5,6,9,12,13],[3,4,6,7,9,10,14],[3,4,6,8,12,13,14],[3,5,7,10,11,12,13],[3,5,8,9,10,11,12],[4,5,6,8,10,11,14]]; G[7520]:=Group([(1,10)(2,11)(4,12)(6,13)]); # Design 7521: autom. group order 2, simple, residual B[7521]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,6,8,10,12,14],[1,3,5,7,9,10,14],[1,3,7,8,9,12,13],[1,4,6,7,11,12,14],[1,4,7,8,11,13,14],[1,4,8,9,10,11,13],[1,5,6,7,9,11,12],[1,5,6,9,10,13,14],[2,3,6,9,11,13,14],[2,3,7,8,9,11,14],[2,4,5,7,10,13,14],[2,4,5,9,11,12,14],[2,4,7,9,10,12,13],[2,5,6,7,8,11,13],[2,6,7,8,9,10,12],[3,4,5,6,8,12,13],[3,4,6,7,8,10,14],[3,4,6,9,12,13,14],[3,5,7,10,11,12,13],[3,5,8,10,11,12,14],[4,5,6,8,9,10,11]]; G[7521]:=Group([(1,10)(2,11)(4,12)(6,13)(9,14)]); # Design 7522: autom. group order 2, simple, residual B[7522]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,7,9,10,14],[1,3,5,7,11,12,14],[1,3,9,10,11,13,14],[1,4,6,8,10,11,13],[1,4,7,8,9,12,13],[1,4,7,9,12,13,14],[1,5,6,8,9,10,12],[1,5,6,8,11,12,14],[2,3,7,8,9,11,12],[2,3,8,10,12,13,14],[2,4,5,6,12,13,14],[2,4,5,9,11,13,14],[2,4,6,9,10,11,12],[2,5,7,8,10,12,13],[2,6,7,8,9,11,14],[3,4,5,8,9,10,14],[3,4,6,7,8,11,13],[3,4,6,7,10,12,14],[3,5,6,7,9,10,13],[3,5,6,9,11,12,13],[4,5,7,8,10,11,14]]; G[7522]:=Group([(1,7)(2,5)(3,10)(4,13)(6,11)(9,12)]); # Design 7523: autom. group order 2, simple, residual B[7523]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,9,11,12,14],[1,3,5,10,12,13,14],[1,3,7,8,9,12,14],[1,4,6,9,10,13,14],[1,4,7,8,10,11,14],[1,4,8,9,11,12,13],[1,5,6,7,8,9,13],[1,5,6,7,10,11,12],[2,3,7,8,11,12,13],[2,3,7,9,10,13,14],[2,4,5,7,9,12,14],[2,4,5,9,10,11,13],[2,4,6,8,12,13,14],[2,5,6,8,10,12,14],[2,6,7,8,9,10,11],[3,4,5,6,8,11,14],[3,4,6,7,9,10,12],[3,4,6,7,11,13,14],[3,5,6,9,11,12,13],[3,5,8,9,10,11,14],[4,5,7,8,10,12,13]]; G[7523]:=Group([(1,12)(3,14)(4,6)(5,8)(7,13)(9,10)]); # Design 7524: autom. group order 2, simple B[7524]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,9,11,13,14],[1,3,5,7,9,10,13],[1,3,7,8,9,11,14],[1,4,6,7,8,10,14],[1,4,7,8,12,13,14],[1,4,9,10,11,12,14],[1,5,6,7,9,11,12],[1,5,6,8,10,12,13],[2,3,7,8,10,11,12],[2,3,7,9,12,13,14],[2,4,5,7,12,13,14],[2,4,5,8,9,10,14],[2,4,6,8,9,11,13],[2,5,6,7,10,11,14],[2,6,7,8,9,10,12],[3,4,5,6,11,12,14],[3,4,6,7,8,11,13],[3,4,6,9,10,12,13],[3,5,6,8,9,12,14],[3,5,8,10,11,13,14],[4,5,7,9,10,11,13]]; G[7524]:=Group([(1,8)(3,9)(6,10)(7,14)(12,13)]); # Design 7525: autom. group order 2, simple, residual B[7525]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,8,9,11,14],[1,3,5,7,8,10,14],[1,3,7,9,11,13,14],[1,4,6,7,9,10,13],[1,4,7,8,9,12,13],[1,4,9,10,11,12,14],[1,5,6,7,11,12,14],[1,5,6,8,10,12,13],[2,3,7,8,9,12,14],[2,3,7,10,11,12,13],[2,4,5,7,12,13,14],[2,4,5,9,10,13,14],[2,4,6,8,11,13,14],[2,5,6,7,9,10,11],[2,6,7,8,9,10,12],[3,4,5,6,9,11,12],[3,4,6,7,8,11,13],[3,4,6,8,10,12,14],[3,5,6,9,12,13,14],[3,5,8,9,10,11,13],[4,5,7,8,10,11,14]]; G[7525]:=Group([(1,13)(3,14)(6,10)(7,9)(8,12)]); # Design 7526: autom. group order 2, simple, residual B[7526]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,11,14],[1,2,7,9,11,12,13],[1,3,5,6,12,13,14],[1,3,7,8,11,13,14],[1,4,6,7,8,12,14],[1,4,6,7,9,10,13],[1,4,6,9,11,12,14],[1,5,7,8,10,11,14],[1,5,8,9,10,12,13],[2,3,6,8,9,11,14],[2,3,7,10,12,13,14],[2,4,5,7,9,13,14],[2,4,5,8,12,13,14],[2,4,6,10,11,13,14],[2,5,6,7,8,11,12],[2,6,7,8,9,10,12],[3,4,5,7,10,11,12],[3,4,7,8,9,11,13],[3,4,8,9,10,12,14],[3,5,6,7,9,10,14],[3,5,6,9,11,12,13],[4,5,6,8,10,11,13]]; G[7526]:=Group([(1,14)(3,13)(6,12)(7,8)]); # Design 7527: autom. group order 2, simple, residual B[7527]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,11,14],[1,2,7,9,11,12,13],[1,3,5,6,12,13,14],[1,3,7,8,11,13,14],[1,4,6,7,8,12,14],[1,4,6,7,9,11,13],[1,4,6,9,10,12,14],[1,5,7,8,10,11,14],[1,5,8,9,10,12,13],[2,3,6,8,9,11,14],[2,3,7,10,12,13,14],[2,4,5,7,9,13,14],[2,4,5,8,12,13,14],[2,4,6,10,11,13,14],[2,5,6,7,8,11,12],[2,6,7,8,9,10,12],[3,4,5,7,10,11,12],[3,4,7,8,9,10,13],[3,4,8,9,11,12,14],[3,5,6,7,9,10,14],[3,5,6,9,11,12,13],[4,5,6,8,10,11,13]]; G[7527]:=Group([(1,14)(3,13)(6,12)(7,8)]); # Design 7528: autom. group order 2, simple, residual B[7528]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,10,11,13,14],[1,2,8,9,10,12,13],[1,3,5,6,10,12,14],[1,3,7,8,10,11,13],[1,4,6,7,8,9,13],[1,4,6,9,11,12,14],[1,4,7,8,11,12,14],[1,5,6,9,11,12,13],[1,5,7,8,9,10,14],[2,3,6,8,9,11,14],[2,3,7,9,11,12,13],[2,4,5,7,9,10,12],[2,4,5,8,11,13,14],[2,4,6,9,10,13,14],[2,5,6,7,8,11,12],[2,6,7,8,10,12,14],[3,4,5,8,12,13,14],[3,4,6,8,10,12,13],[3,4,7,9,10,11,14],[3,5,6,8,9,10,11],[3,5,7,9,12,13,14],[4,5,6,7,10,11,13]]; G[7528]:=Group([(2,11)(3,12)(5,14)(7,9)]); # Design 7529: autom. group order 2, simple, residual B[7529]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,8,9,10,13,14],[1,3,5,6,10,12,13],[1,3,7,9,10,11,14],[1,4,6,7,8,9,14],[1,4,6,9,11,12,13],[1,4,7,8,11,12,13],[1,5,6,9,10,12,14],[1,5,7,8,11,12,14],[2,3,6,8,11,12,14],[2,3,7,8,9,12,13],[2,4,5,7,10,11,14],[2,4,5,9,12,13,14],[2,4,6,8,10,12,14],[2,5,6,7,9,11,12],[2,6,7,9,10,11,13],[3,4,5,9,11,13,14],[3,4,6,8,9,10,11],[3,4,7,10,12,13,14],[3,5,6,8,11,13,14],[3,5,7,8,9,10,12],[4,5,6,7,8,10,13]]; G[7529]:=Group([(2,12)(3,11)(5,13)(6,8)]); # Design 7530: autom. group order 2, simple B[7530]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,8,9,10,13,14],[1,3,5,6,12,13,14],[1,3,7,8,9,10,14],[1,4,6,7,9,11,14],[1,4,6,9,12,13,14],[1,4,7,8,11,12,13],[1,5,6,9,10,11,12],[1,5,7,8,10,11,12],[2,3,6,8,11,12,14],[2,3,7,9,11,12,14],[2,4,5,7,11,13,14],[2,4,5,9,10,12,13],[2,4,6,8,10,12,14],[2,5,6,7,8,9,12],[2,6,7,9,10,11,13],[3,4,5,9,10,11,14],[3,4,6,8,10,11,13],[3,4,7,8,9,12,13],[3,5,6,8,9,11,13],[3,5,7,10,12,13,14],[4,5,6,7,8,10,14]]; G[7530]:=Group([(2,12)(3,11)(4,10)(6,8)]); # Design 7531: autom. group order 2, simple, residual B[7531]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,7,9,11,13,14],[1,3,5,6,11,12,13],[1,3,7,8,9,10,12],[1,4,6,7,8,12,14],[1,4,6,9,10,11,13],[1,4,7,9,11,12,14],[1,5,6,8,10,11,14],[1,5,8,9,10,12,13],[2,3,6,7,9,10,11],[2,3,8,10,11,12,14],[2,4,5,7,10,12,13],[2,4,5,8,9,11,14],[2,4,6,8,9,12,13],[2,5,6,9,10,12,14],[2,6,7,8,11,12,13],[3,4,5,11,12,13,14],[3,4,6,9,10,13,14],[3,4,7,8,10,13,14],[3,5,6,7,9,12,14],[3,5,7,8,9,11,13],[4,5,6,7,8,10,11]]; G[7531]:=Group([(1,14)(2,13)(5,10)(6,8)]); # Design 7532: autom. group order 2, simple, residual B[7532]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,13],[1,2,7,9,11,13,14],[1,3,5,6,11,12,14],[1,3,7,8,9,11,12],[1,4,6,7,10,12,13],[1,4,6,8,9,12,13],[1,4,7,9,10,11,14],[1,5,6,8,11,13,14],[1,5,8,9,10,12,14],[2,3,6,8,9,10,14],[2,3,7,9,12,13,14],[2,4,5,7,8,12,14],[2,4,5,11,12,13,14],[2,4,6,8,9,11,13],[2,5,6,9,10,11,12],[2,6,7,8,10,11,12],[3,4,5,9,10,11,13],[3,4,6,7,8,11,14],[3,4,8,10,12,13,14],[3,5,6,7,9,12,13],[3,5,7,8,10,11,13],[4,5,6,7,9,10,14]]; G[7532]:=Group([(1,11)(3,12)(4,10)(5,6)(7,9)]); # Design 7533: autom. group order 2, simple, residual B[7533]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,13],[1,2,7,9,11,13,14],[1,3,5,6,11,12,14],[1,3,7,8,9,11,12],[1,4,6,7,10,12,13],[1,4,6,8,9,12,14],[1,4,7,9,10,11,14],[1,5,6,8,11,13,14],[1,5,8,9,10,12,13],[2,3,6,8,9,10,14],[2,3,7,9,12,13,14],[2,4,5,7,8,12,14],[2,4,5,11,12,13,14],[2,4,6,8,9,11,13],[2,5,6,9,10,11,12],[2,6,7,8,10,11,12],[3,4,5,9,10,11,13],[3,4,6,7,8,11,13],[3,4,8,10,12,13,14],[3,5,6,7,9,12,13],[3,5,7,8,10,11,14],[4,5,6,7,9,10,14]]; G[7533]:=Group([(1,11)(3,12)(4,10)(5,6)(7,9)]); # Design 7534: autom. group order 2, simple, residual B[7534]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,7,9,10,11,14],[1,3,5,6,10,12,14],[1,3,7,9,11,12,14],[1,4,6,8,9,11,14],[1,4,6,9,10,12,13],[1,4,7,8,12,13,14],[1,5,6,7,8,11,13],[1,5,8,9,10,12,13],[2,3,6,7,9,12,13],[2,3,8,9,11,12,13],[2,4,5,8,11,12,14],[2,4,5,9,10,13,14],[2,4,6,7,8,10,12],[2,5,6,11,12,13,14],[2,6,7,8,9,10,14],[3,4,5,7,9,13,14],[3,4,6,10,11,13,14],[3,4,7,8,10,11,13],[3,5,6,8,9,10,11],[3,5,7,8,10,12,14],[4,5,6,7,9,11,12]]; G[7534]:=Group([(1,11)(2,10)(5,13)(6,8)(9,14)]); # Design 7535: autom. group order 2, simple, residual B[7535]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,7,9,10,11,14],[1,3,5,6,10,12,14],[1,3,7,9,11,12,14],[1,4,6,8,9,11,12],[1,4,6,9,10,13,14],[1,4,7,8,12,13,14],[1,5,6,7,8,11,13],[1,5,8,9,10,12,13],[2,3,6,7,9,12,13],[2,3,8,11,12,13,14],[2,4,5,8,9,11,14],[2,4,5,10,12,13,14],[2,4,6,7,8,10,12],[2,5,6,9,11,12,13],[2,6,7,8,9,10,14],[3,4,5,7,9,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,13],[3,5,6,8,10,11,14],[3,5,7,8,9,10,12],[4,5,6,7,11,12,14]]; G[7535]:=Group([(1,11)(2,10)(5,13)(6,8)]); # Design 7536: autom. group order 2, simple, residual B[7536]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,9,12,13,14],[1,3,5,6,9,12,14],[1,3,7,8,9,11,14],[1,4,6,8,10,13,14],[1,4,6,8,11,12,14],[1,4,7,8,9,10,13],[1,5,6,7,10,11,12],[1,5,9,10,11,12,13],[2,3,6,9,10,11,13],[2,3,7,8,10,12,14],[2,4,5,7,10,11,14],[2,4,5,9,12,13,14],[2,4,6,8,9,11,12],[2,5,6,8,11,13,14],[2,6,7,8,9,10,12],[3,4,5,8,10,12,13],[3,4,6,7,9,11,13],[3,4,7,11,12,13,14],[3,5,6,7,8,12,13],[3,5,8,9,10,11,14],[4,5,6,7,9,10,14]]; G[7536]:=Group([(2,11)(3,12)(4,10)(8,13)]); # Design 7537: autom. group order 2, simple, residual B[7537]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,8,9,12,14],[1,3,5,6,9,12,14],[1,3,7,9,11,13,14],[1,4,6,8,10,13,14],[1,4,6,8,11,12,14],[1,4,7,8,9,10,13],[1,5,6,7,10,11,12],[1,5,9,10,11,12,13],[2,3,6,8,9,10,11],[2,3,7,10,12,13,14],[2,4,5,7,10,11,14],[2,4,5,9,12,13,14],[2,4,6,9,11,12,13],[2,5,6,8,11,13,14],[2,6,7,8,9,10,12],[3,4,5,8,10,12,13],[3,4,6,7,9,11,13],[3,4,7,8,11,12,14],[3,5,6,7,8,12,13],[3,5,8,9,10,11,14],[4,5,6,7,9,10,14]]; G[7537]:=Group([(2,11)(3,12)(4,10)(8,13)]); # Design 7538: autom. group order 2, simple, residual B[7538]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,7,8,11,12,14],[1,3,5,6,9,11,14],[1,3,7,8,10,12,14],[1,4,6,8,9,10,12],[1,4,6,8,11,13,14],[1,4,7,9,10,13,14],[1,5,6,7,9,12,13],[1,5,8,9,10,11,13],[2,3,6,9,12,13,14],[2,3,7,8,9,10,13],[2,4,5,8,9,12,14],[2,4,5,10,11,13,14],[2,4,6,7,9,10,11],[2,5,6,8,10,12,13],[2,6,7,8,9,11,14],[3,4,5,7,8,13,14],[3,4,6,8,11,12,13],[3,4,7,9,11,12,13],[3,5,6,7,8,10,11],[3,5,9,10,11,12,14],[4,5,6,7,10,12,14]]; G[7538]:=Group([(1,12)(2,11)(5,13)(6,9)]); # Design 7539: autom. group order 2, simple B[7539]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,7,8,11,12,14],[1,3,5,6,9,11,13],[1,3,7,8,10,11,14],[1,4,6,8,9,11,14],[1,4,6,8,10,12,13],[1,4,7,8,9,10,13],[1,5,6,7,9,12,14],[1,5,9,10,12,13,14],[2,3,6,8,9,12,14],[2,3,7,9,10,13,14],[2,4,5,8,12,13,14],[2,4,5,9,10,11,14],[2,4,6,7,9,10,12],[2,5,6,8,10,11,13],[2,6,7,8,9,11,13],[3,4,5,7,8,13,14],[3,4,6,11,12,13,14],[3,4,7,9,11,12,13],[3,5,6,7,8,10,12],[3,5,8,9,10,11,12],[4,5,6,7,10,11,14]]; G[7539]:=Group([(1,11)(2,12)(5,13)(6,9)(8,14)]); # Design 7540: autom. group order 2, simple, residual B[7540]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,7,8,11,12,14],[1,3,5,6,9,11,14],[1,3,7,8,10,12,14],[1,4,6,8,9,12,14],[1,4,6,8,10,11,13],[1,4,7,8,9,10,13],[1,5,6,7,9,12,13],[1,5,9,10,11,13,14],[2,3,6,8,9,12,13],[2,3,7,9,10,13,14],[2,4,5,8,11,13,14],[2,4,5,9,10,12,14],[2,4,6,7,9,10,11],[2,5,6,8,10,12,13],[2,6,7,8,9,11,14],[3,4,5,7,8,13,14],[3,4,6,11,12,13,14],[3,4,7,9,11,12,13],[3,5,6,7,8,10,11],[3,5,8,9,10,11,12],[4,5,6,7,10,12,14]]; G[7540]:=Group([(1,12)(2,11)(5,13)(6,9)(8,14)]); # Design 7541: autom. group order 2, simple B[7541]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,7,8,11,13,14],[1,3,5,6,8,12,14],[1,3,7,8,9,10,13],[1,4,6,8,9,11,14],[1,4,6,9,10,12,13],[1,4,7,9,10,11,14],[1,5,6,7,9,11,12],[1,5,8,10,12,13,14],[2,3,6,8,9,11,13],[2,3,7,9,10,12,14],[2,4,5,8,10,11,14],[2,4,5,9,12,13,14],[2,4,6,7,8,10,12],[2,5,6,9,10,11,13],[2,6,7,8,9,12,14],[3,4,5,7,9,13,14],[3,4,6,11,12,13,14],[3,4,7,8,11,12,13],[3,5,6,7,10,11,14],[3,5,8,9,10,11,12],[4,5,6,7,8,10,13]]; G[7541]:=Group([(1,11)(2,12)(5,13)(6,8)(9,14)]); # Design 7542: autom. group order 2, simple B[7542]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,7,8,11,13,14],[1,3,5,6,8,12,14],[1,3,7,8,9,10,13],[1,4,6,8,9,11,14],[1,4,6,9,10,12,13],[1,4,7,8,10,12,14],[1,5,6,7,9,11,12],[1,5,9,10,11,13,14],[2,3,6,8,9,11,13],[2,3,7,9,10,12,14],[2,4,5,8,10,11,14],[2,4,5,9,12,13,14],[2,4,6,7,9,10,11],[2,5,6,8,10,12,13],[2,6,7,8,9,12,14],[3,4,5,7,9,13,14],[3,4,6,11,12,13,14],[3,4,7,8,11,12,13],[3,5,6,7,10,11,14],[3,5,8,9,10,11,12],[4,5,6,7,8,10,13]]; G[7542]:=Group([(1,11)(2,12)(5,13)(6,8)(9,14)]); # Design 7543: autom. group order 2, simple, residual B[7543]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,7,8,9,10,11],[1,3,5,6,8,11,14],[1,3,8,9,10,13,14],[1,4,6,8,9,12,13],[1,4,6,9,11,12,13],[1,4,7,8,10,12,14],[1,5,6,7,10,12,14],[1,5,7,9,11,13,14],[2,3,6,7,8,12,13],[2,3,7,9,12,13,14],[2,4,5,8,11,13,14],[2,4,5,9,10,12,14],[2,4,6,10,11,13,14],[2,5,6,8,9,12,14],[2,6,7,8,9,10,11],[3,4,5,7,9,10,13],[3,4,6,7,9,11,14],[3,4,7,8,11,12,14],[3,5,6,9,10,11,12],[3,5,8,10,11,12,13],[4,5,6,7,8,10,13]]; G[7543]:=Group([(1,11)(2,12)(4,10)(6,8)(7,13)]); # Design 7544: autom. group order 2, simple B[7544]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,8,9,10,12,13],[1,3,5,6,11,12,14],[1,3,7,8,9,13,14],[1,4,6,7,8,12,13],[1,4,6,9,10,11,13],[1,4,7,8,11,12,14],[1,5,6,8,9,10,14],[1,5,7,9,10,11,12],[2,3,6,7,8,10,12],[2,3,9,11,12,13,14],[2,4,5,7,9,10,14],[2,4,5,8,12,13,14],[2,4,6,7,9,11,13],[2,5,6,8,9,11,12],[2,6,7,8,10,11,14],[3,4,5,8,10,11,13],[3,4,6,8,9,11,14],[3,4,7,9,10,12,14],[3,5,6,7,9,12,13],[3,5,7,8,10,11,13],[4,5,6,10,12,13,14]]; G[7544]:=Group([(1,9)(2,6)(3,11)(5,13)(8,10)(12,14)]); # Design 7545: autom. group order 2, simple B[7545]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,9,11,12,13,14],[1,3,5,6,9,11,13],[1,3,7,8,9,10,12],[1,4,6,7,10,11,13],[1,4,6,8,11,12,14],[1,4,7,8,9,12,13],[1,5,6,8,10,12,14],[1,5,7,9,10,11,14],[2,3,6,7,10,11,12],[2,3,8,9,10,11,14],[2,4,5,7,8,11,14],[2,4,5,9,10,12,13],[2,4,6,7,9,12,14],[2,5,6,8,10,12,13],[2,6,7,8,9,11,13],[3,4,5,11,12,13,14],[3,4,6,9,10,13,14],[3,4,7,8,10,13,14],[3,5,6,7,9,12,14],[3,5,7,8,11,12,13],[4,5,6,8,9,10,11]]; G[7545]:=Group([(1,14)(2,13)(5,10)(6,8)]); # Design 7546: autom. group order 2, simple, residual B[7546]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,13,14],[1,2,7,9,10,11,13],[1,3,5,6,7,10,12],[1,3,7,9,11,12,13],[1,4,6,8,9,10,13],[1,4,6,9,12,13,14],[1,4,7,8,10,12,14],[1,5,6,8,11,12,14],[1,5,7,8,9,11,14],[2,3,6,9,11,12,14],[2,3,7,8,12,13,14],[2,4,5,8,9,11,12],[2,4,5,10,12,13,14],[2,4,6,7,8,11,13],[2,5,6,7,9,10,14],[2,6,7,8,9,10,12],[3,4,5,7,9,13,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,14],[3,5,6,8,10,11,13],[3,5,8,9,10,12,13],[4,5,6,7,11,12,13]]; G[7546]:=Group([(1,11)(2,10)(5,14)(7,9)]); # Design 7547: autom. group order 2, simple, residual B[7547]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,7,9,10,11,14],[1,3,5,6,10,12,14],[1,3,7,9,11,12,14],[1,4,6,7,8,11,14],[1,4,6,7,10,12,13],[1,4,7,8,9,12,13],[1,5,6,8,9,11,13],[1,5,8,10,12,13,14],[2,3,6,9,12,13,14],[2,3,7,8,11,12,13],[2,4,5,7,10,13,14],[2,4,5,8,11,12,14],[2,4,6,8,9,10,12],[2,5,6,7,11,12,13],[2,6,7,8,9,10,14],[3,4,5,7,9,13,14],[3,4,6,9,10,11,13],[3,4,8,10,11,13,14],[3,5,6,7,8,10,11],[3,5,7,8,9,10,12],[4,5,6,9,11,12,14]]; G[7547]:=Group([(1,11)(2,10)(5,13)(6,8)(7,14)]); # Design 7548: autom. group order 2, simple B[7548]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,8,11,12,14],[1,3,5,6,9,11,13],[1,3,7,8,10,11,14],[1,4,6,7,9,11,14],[1,4,6,7,10,12,13],[1,4,8,9,10,13,14],[1,5,6,8,9,12,14],[1,5,7,9,10,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,10,13],[2,4,5,7,12,13,14],[2,4,5,9,10,11,14],[2,4,6,8,9,10,12],[2,5,6,10,11,13,14],[2,6,7,8,9,11,13],[3,4,5,7,8,13,14],[3,4,6,8,11,12,13],[3,4,9,11,12,13,14],[3,5,6,8,10,12,14],[3,5,7,9,10,11,12],[4,5,6,7,8,10,11]]; G[7548]:=Group([(1,11)(2,12)(5,13)(6,9)(7,14)]); # Design 7549: autom. group order 2, simple, residual B[7549]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,8,11,12,14],[1,3,5,6,9,11,14],[1,3,7,8,10,12,14],[1,4,6,7,9,12,14],[1,4,6,7,10,11,13],[1,4,8,9,10,13,14],[1,5,6,8,9,12,13],[1,5,7,9,10,11,13],[2,3,6,7,9,12,13],[2,3,7,8,9,10,13],[2,4,5,7,11,13,14],[2,4,5,9,10,12,14],[2,4,6,8,9,10,11],[2,5,6,10,12,13,14],[2,6,7,8,9,11,14],[3,4,5,7,8,13,14],[3,4,6,8,11,12,13],[3,4,9,11,12,13,14],[3,5,6,8,10,11,14],[3,5,7,9,10,11,12],[4,5,6,7,8,10,12]]; G[7549]:=Group([(1,12)(2,11)(5,13)(6,9)(7,14)]); # Design 7550: autom. group order 2, simple, residual B[7550]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,13,14],[1,2,7,9,10,13,14],[1,3,5,6,9,12,13],[1,3,7,8,9,10,14],[1,4,6,7,8,10,11],[1,4,6,7,10,12,13],[1,4,8,9,11,12,13],[1,5,6,8,11,12,14],[1,5,7,9,11,12,14],[2,3,6,7,11,12,14],[2,3,8,9,10,11,12],[2,4,5,7,8,12,14],[2,4,5,7,9,11,13],[2,4,6,9,10,12,14],[2,5,6,8,10,11,13],[2,6,7,8,9,12,13],[3,4,5,10,12,13,14],[3,4,6,9,11,13,14],[3,4,7,8,11,13,14],[3,5,6,7,9,10,11],[3,5,7,8,10,12,13],[4,5,6,8,9,10,14]]; G[7550]:=Group([(1,14)(2,13)(5,11)(7,9)]); # Design 7551: autom. group order 2, simple, residual B[7551]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,13,14],[1,2,7,9,10,13,14],[1,3,5,6,9,12,13],[1,3,7,8,9,10,11],[1,4,6,7,8,10,14],[1,4,6,7,11,12,13],[1,4,8,9,10,12,13],[1,5,6,8,11,12,14],[1,5,7,9,11,12,14],[2,3,6,7,10,11,12],[2,3,8,9,11,12,14],[2,4,5,7,8,12,14],[2,4,5,7,9,11,13],[2,4,6,9,10,12,14],[2,5,6,8,10,11,13],[2,6,7,8,9,12,13],[3,4,5,10,12,13,14],[3,4,6,9,11,13,14],[3,4,7,8,11,13,14],[3,5,6,7,9,10,14],[3,5,7,8,10,12,13],[4,5,6,8,9,10,11]]; G[7551]:=Group([(1,14)(2,13)(5,11)(6,8)]); # Design 7552: autom. group order 2, simple B[7552]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,13,14],[1,2,7,9,10,13,14],[1,3,5,6,11,12,13],[1,3,7,8,9,10,13],[1,4,6,7,8,10,11],[1,4,6,7,10,12,14],[1,4,8,9,11,12,14],[1,5,6,8,9,12,14],[1,5,7,9,11,12,13],[2,3,6,7,9,12,14],[2,3,8,9,10,11,12],[2,4,5,7,8,12,13],[2,4,5,7,9,11,14],[2,4,6,9,10,12,13],[2,5,6,8,10,11,14],[2,6,7,8,11,12,13],[3,4,5,10,12,13,14],[3,4,6,9,11,13,14],[3,4,7,8,11,13,14],[3,5,6,7,9,10,11],[3,5,7,8,10,12,14],[4,5,6,8,9,10,13]]; G[7552]:=Group([(1,13)(2,14)(5,11)(7,9)]); # Design 7553: autom. group order 2, simple, residual B[7553]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,7,9,10,11,14],[1,3,5,6,10,12,14],[1,3,7,9,11,12,14],[1,4,6,7,8,11,12],[1,4,6,7,10,13,14],[1,4,8,9,12,13,14],[1,5,6,8,9,11,13],[1,5,7,8,10,12,13],[2,3,6,7,9,12,13],[2,3,8,11,12,13,14],[2,4,5,7,8,11,14],[2,4,5,10,12,13,14],[2,4,6,8,9,10,12],[2,5,6,7,11,12,13],[2,6,7,8,9,10,14],[3,4,5,7,9,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,13],[3,5,6,8,10,11,14],[3,5,7,8,9,10,12],[4,5,6,9,11,12,14]]; G[7553]:=Group([(1,11)(2,10)(5,13)(6,8)]); # Design 7554: autom. group order 2, simple, residual B[7554]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,13,14],[1,2,7,9,10,11,13],[1,3,5,6,9,10,12],[1,3,7,9,11,12,13],[1,4,6,7,8,10,13],[1,4,6,7,12,13,14],[1,4,8,9,10,12,14],[1,5,6,8,11,12,14],[1,5,7,8,9,11,14],[2,3,6,7,11,12,14],[2,3,8,9,12,13,14],[2,4,5,7,8,11,12],[2,4,5,10,12,13,14],[2,4,6,8,9,11,13],[2,5,6,7,9,10,14],[2,6,7,8,9,10,12],[3,4,5,7,9,13,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,14],[3,5,6,8,10,11,13],[3,5,7,8,10,12,13],[4,5,6,9,11,12,13]]; G[7554]:=Group([(1,11)(2,10)(5,14)(7,9)]); # Design 7555: autom. group order 2, simple, residual B[7555]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,13,14],[1,2,7,9,10,11,13],[1,3,5,6,10,12,14],[1,3,7,9,10,12,13],[1,4,6,7,8,11,13],[1,4,6,7,12,13,14],[1,4,8,9,11,12,14],[1,5,6,8,9,11,12],[1,5,7,8,9,10,14],[2,3,6,7,9,11,12],[2,3,8,9,12,13,14],[2,4,5,7,8,10,12],[2,4,5,11,12,13,14],[2,4,6,8,9,10,13],[2,5,6,7,9,11,14],[2,6,7,8,10,12,14],[3,4,5,7,9,13,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,14],[3,5,6,8,10,11,13],[3,5,7,8,11,12,13],[4,5,6,9,10,12,13]]; G[7555]:=Group([(1,10)(2,11)(5,14)(7,9)]); # Design 7556: autom. group order 2, simple, residual B[7556]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,8,11,12,14],[1,3,5,6,9,11,14],[1,3,7,8,10,12,14],[1,4,6,7,9,10,12],[1,4,6,7,11,13,14],[1,4,8,9,10,13,14],[1,5,6,8,9,12,13],[1,5,7,9,10,11,13],[2,3,6,9,12,13,14],[2,3,7,8,9,10,13],[2,4,5,7,9,12,14],[2,4,5,10,11,13,14],[2,4,6,8,9,10,11],[2,5,6,7,10,12,13],[2,6,7,8,9,11,14],[3,4,5,7,8,13,14],[3,4,6,8,11,12,13],[3,4,7,9,11,12,13],[3,5,6,7,8,10,11],[3,5,9,10,11,12,14],[4,5,6,8,10,12,14]]; G[7556]:=Group([(1,12)(2,11)(5,13)(6,9)]); # Design 7557: autom. group order 2, simple B[7557]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,7,9,10,13,14],[1,3,5,6,12,13,14],[1,3,7,8,9,10,14],[1,4,6,7,8,11,14],[1,4,6,7,12,13,14],[1,4,8,9,11,12,13],[1,5,6,8,10,11,12],[1,5,7,9,10,11,12],[2,3,6,9,11,12,14],[2,3,7,8,11,12,14],[2,4,5,7,10,12,13],[2,4,5,8,11,13,14],[2,4,6,9,10,12,14],[2,5,6,7,8,9,12],[2,6,7,8,10,11,13],[3,4,5,7,10,11,14],[3,4,6,9,10,11,13],[3,4,7,8,9,12,13],[3,5,6,7,9,11,13],[3,5,8,10,12,13,14],[4,5,6,8,9,10,14]]; G[7557]:=Group([(2,12)(3,11)(4,10)(6,9)]); # Design 7558: autom. group order 2, simple B[7558]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,8,9,10,13],[1,3,5,6,9,12,13],[1,3,7,9,10,11,14],[1,4,6,7,8,9,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,13],[1,5,6,7,10,12,14],[1,5,8,9,10,11,12],[2,3,6,7,8,11,12],[2,3,7,8,12,13,14],[2,4,5,7,10,11,14],[2,4,5,9,12,13,14],[2,4,6,9,10,11,13],[2,5,6,7,9,11,12],[2,6,8,9,10,12,14],[3,4,5,8,10,12,14],[3,4,6,8,9,11,14],[3,4,7,9,10,12,13],[3,5,6,8,10,11,13],[3,5,7,9,11,13,14],[4,5,6,7,8,10,13]]; G[7558]:=Group([(2,12)(3,11)(5,13)(6,8)(9,14)]); # Design 7559: autom. group order 2, simple, residual B[7559]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,7,8,9,13,14],[1,3,5,6,12,13,14],[1,3,7,8,11,12,13],[1,4,6,7,11,12,14],[1,4,6,8,9,10,12],[1,4,7,9,10,13,14],[1,5,6,7,8,9,11],[1,5,9,10,11,12,14],[2,3,6,7,9,11,14],[2,3,8,9,11,12,14],[2,4,5,7,11,12,13],[2,4,5,9,12,13,14],[2,4,6,8,10,11,14],[2,5,6,7,9,10,12],[2,6,7,8,10,12,13],[3,4,5,7,8,10,14],[3,4,6,8,9,12,13],[3,4,7,9,10,11,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,14],[4,5,6,8,11,13,14]]; G[7559]:=Group([(1,11)(2,6)(3,14)(5,8)(7,10)(9,13)]); # Design 7560: autom. group order 2, simple, residual B[7560]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,7,8,11,13,14],[1,3,5,6,9,12,14],[1,3,7,9,10,13,14],[1,4,6,7,8,10,13],[1,4,6,8,11,12,14],[1,4,7,8,9,12,14],[1,5,6,7,10,11,12],[1,5,9,10,11,12,13],[2,3,6,8,11,12,13],[2,3,7,8,9,10,12],[2,4,5,7,12,13,14],[2,4,5,10,12,13,14],[2,4,6,7,9,10,11],[2,5,6,7,9,11,14],[2,6,8,9,10,12,14],[3,4,5,8,10,11,14],[3,4,6,9,11,13,14],[3,4,7,9,11,12,13],[3,5,6,7,8,12,13],[3,5,7,8,10,11,14],[4,5,6,8,9,10,13]]; G[7560]:=Group([(2,11)(3,12)(4,10)(8,13)]); # Design 7561: autom. group order 2, simple, residual B[7561]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,7,8,11,13,14],[1,3,5,6,9,12,14],[1,3,7,8,9,10,14],[1,4,6,7,8,10,13],[1,4,6,8,11,12,14],[1,4,7,9,12,13,14],[1,5,6,7,10,11,12],[1,5,9,10,11,12,13],[2,3,6,8,11,12,13],[2,3,7,9,10,12,13],[2,4,5,7,12,13,14],[2,4,5,8,10,12,14],[2,4,6,7,9,10,11],[2,5,6,7,9,11,14],[2,6,8,9,10,12,14],[3,4,5,10,11,13,14],[3,4,6,9,11,13,14],[3,4,7,8,9,11,12],[3,5,6,7,8,12,13],[3,5,7,8,10,11,14],[4,5,6,8,9,10,13]]; G[7561]:=Group([(2,11)(3,12)(4,10)(8,13)]); # Design 7562: autom. group order 2, simple, residual B[7562]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,7,9,10,13,14],[1,3,5,6,10,12,13],[1,3,7,8,10,11,14],[1,4,6,7,8,9,14],[1,4,6,8,11,12,13],[1,4,7,9,11,12,13],[1,5,6,7,10,12,14],[1,5,8,9,11,12,14],[2,3,6,9,11,12,14],[2,3,7,8,9,12,13],[2,4,5,7,12,13,14],[2,4,5,8,10,11,14],[2,4,6,9,10,12,14],[2,5,6,7,8,11,12],[2,6,7,8,10,11,13],[3,4,5,7,11,13,14],[3,4,6,7,9,10,11],[3,4,8,10,12,13,14],[3,5,6,9,11,13,14],[3,5,7,8,9,10,12],[4,5,6,8,9,10,13]]; G[7562]:=Group([(2,12)(3,11)(5,13)(6,9)]); # Design 7563: autom. group order 2, simple, residual B[7563]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,10,11,13,14],[1,3,5,6,9,11,14],[1,3,7,8,9,10,14],[1,4,6,7,9,12,13],[1,4,6,9,10,12,13],[1,4,7,8,11,12,14],[1,5,6,7,8,11,13],[1,5,8,9,10,12,14],[2,3,6,8,12,13,14],[2,3,7,8,9,12,13],[2,4,5,7,10,12,14],[2,4,5,9,11,13,14],[2,4,6,8,9,10,11],[2,5,6,7,9,12,14],[2,6,7,8,9,10,11],[3,4,5,7,8,10,13],[3,4,6,8,11,12,14],[3,4,7,9,11,13,14],[3,5,6,7,10,11,12],[3,5,9,10,11,12,13],[4,5,6,8,10,13,14]]; G[7563]:=Group([(1,11)(2,12)(4,10)(8,13)]); # Design 7564: autom. group order 2, simple, residual B[7564]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,8,10,11,14],[1,3,5,6,9,11,14],[1,3,7,9,10,13,14],[1,4,6,7,9,12,13],[1,4,6,8,9,10,12],[1,4,7,11,12,13,14],[1,5,6,7,8,11,13],[1,5,8,9,10,12,14],[2,3,6,8,12,13,14],[2,3,7,8,9,12,13],[2,4,5,7,10,12,14],[2,4,5,9,11,13,14],[2,4,6,9,10,11,13],[2,5,6,7,9,12,14],[2,6,7,8,9,10,11],[3,4,5,7,8,10,13],[3,4,6,8,11,12,14],[3,4,7,8,9,11,14],[3,5,6,7,10,11,12],[3,5,9,10,11,12,13],[4,5,6,8,10,13,14]]; G[7564]:=Group([(1,11)(2,12)(4,10)(8,13)]); # Design 7565: autom. group order 2, simple, residual B[7565]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,13,14],[1,2,7,8,9,11,13],[1,3,5,6,9,11,12],[1,3,7,11,12,13,14],[1,4,6,7,8,10,12],[1,4,6,8,12,13,14],[1,4,7,9,10,11,13],[1,5,6,8,9,11,14],[1,5,7,9,10,12,14],[2,3,6,7,9,10,14],[2,3,7,8,9,12,13],[2,4,5,7,11,12,14],[2,4,5,9,12,13,14],[2,4,6,7,8,11,14],[2,5,6,10,11,12,13],[2,6,8,9,10,11,12],[3,4,5,8,10,11,13],[3,4,6,9,11,13,14],[3,4,8,9,10,12,14],[3,5,6,7,8,12,13],[3,5,7,8,10,11,14],[4,5,6,7,9,10,13]]; G[7565]:=Group([(1,11)(3,12)(4,10)(5,6)(7,13)]); # Design 7566: autom. group order 2, simple B[7566]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,8,12,13,14],[1,3,5,6,9,11,13],[1,3,7,8,10,12,13],[1,4,6,7,8,9,14],[1,4,6,8,10,11,12],[1,4,7,9,10,11,14],[1,5,6,9,10,12,14],[1,5,7,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,10,11],[2,4,5,7,11,12,14],[2,4,5,9,10,12,13],[2,4,6,8,9,12,13],[2,5,6,8,10,11,14],[2,6,7,9,10,11,13],[3,4,5,7,10,13,14],[3,4,6,11,12,13,14],[3,4,8,9,11,13,14],[3,5,6,7,8,11,12],[3,5,8,9,10,12,14],[4,5,6,7,8,10,13]]; G[7566]:=Group([(1,13)(2,14)(5,11)(7,12)]); # Design 7567: autom. group order 2, simple, residual B[7567]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,8,12,13,14],[1,3,5,6,9,12,13],[1,3,7,8,10,12,14],[1,4,6,7,8,9,13],[1,4,6,8,10,11,12],[1,4,7,9,10,11,13],[1,5,6,9,10,11,14],[1,5,7,9,11,12,14],[2,3,6,7,9,11,14],[2,3,7,8,9,10,11],[2,4,5,7,11,12,13],[2,4,5,9,10,12,14],[2,4,6,8,9,12,14],[2,5,6,8,10,11,13],[2,6,7,9,10,12,13],[3,4,5,7,10,13,14],[3,4,6,11,12,13,14],[3,4,8,9,11,13,14],[3,5,6,7,8,11,12],[3,5,8,9,10,12,13],[4,5,6,7,8,10,14]]; G[7567]:=Group([(1,14)(2,13)(5,11)(7,12)]); # Design 7568: autom. group order 2, simple, residual B[7568]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,13,14],[1,2,7,9,11,13,14],[1,3,5,6,11,12,13],[1,3,7,8,9,10,12],[1,4,6,7,10,11,13],[1,4,6,8,9,12,14],[1,4,7,9,11,12,14],[1,5,6,8,10,11,14],[1,5,7,8,10,12,13],[2,3,6,7,9,10,11],[2,3,8,10,11,12,14],[2,4,5,7,8,11,14],[2,4,5,9,10,12,13],[2,4,6,7,8,12,13],[2,5,6,7,10,12,14],[2,6,8,9,11,12,13],[3,4,5,11,12,13,14],[3,4,6,9,10,13,14],[3,4,7,8,10,13,14],[3,5,6,7,9,12,14],[3,5,7,8,9,11,13],[4,5,6,8,9,10,11]]; G[7568]:=Group([(1,14)(2,13)(5,10)(6,8)]); # Design 7569: autom. group order 2, simple, residual B[7569]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,13,14],[1,2,7,9,12,13,14],[1,3,5,6,9,12,13],[1,3,7,8,9,10,11],[1,4,6,7,10,12,13],[1,4,6,8,11,12,14],[1,4,7,8,9,11,13],[1,5,6,8,10,11,14],[1,5,7,9,10,12,14],[2,3,6,7,10,11,12],[2,3,8,9,10,12,14],[2,4,5,7,8,12,14],[2,4,5,9,10,11,13],[2,4,6,7,9,11,14],[2,5,6,7,8,10,13],[2,6,8,9,11,12,13],[3,4,5,11,12,13,14],[3,4,6,9,10,13,14],[3,4,7,8,10,13,14],[3,5,6,7,9,11,14],[3,5,7,8,11,12,13],[4,5,6,8,9,10,12]]; G[7569]:=Group([(1,14)(2,13)(5,10)(6,8)]); # Design 7570: autom. group order 2, simple, residual B[7570]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,13,14],[1,2,7,8,9,11,13],[1,3,5,6,8,11,12],[1,3,7,11,12,13,14],[1,4,6,7,9,10,12],[1,4,6,9,12,13,14],[1,4,8,9,10,11,14],[1,5,6,7,9,11,13],[1,5,7,8,10,12,14],[2,3,6,7,9,10,14],[2,3,7,8,9,12,13],[2,4,5,7,11,12,14],[2,4,5,9,12,13,14],[2,4,6,7,8,11,14],[2,5,6,10,11,12,13],[2,6,8,9,10,11,12],[3,4,5,9,10,11,13],[3,4,6,8,11,13,14],[3,4,7,8,10,12,13],[3,5,6,8,9,12,14],[3,5,7,9,10,11,14],[4,5,6,7,8,10,13]]; G[7570]:=Group([(1,11)(3,12)(4,10)(5,6)(7,13)]); # Design 7571: autom. group order 2, simple, residual B[7571]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,13,14],[1,2,7,8,9,11,13],[1,3,5,6,8,11,12],[1,3,7,11,12,13,14],[1,4,6,7,9,10,12],[1,4,6,8,12,13,14],[1,4,8,9,10,11,14],[1,5,6,7,9,11,13],[1,5,7,9,10,12,14],[2,3,6,7,9,10,14],[2,3,7,8,9,12,13],[2,4,5,7,11,12,14],[2,4,5,9,12,13,14],[2,4,6,7,8,11,14],[2,5,6,10,11,12,13],[2,6,8,9,10,11,12],[3,4,5,9,10,11,13],[3,4,6,9,11,13,14],[3,4,7,8,10,12,13],[3,5,6,8,9,12,14],[3,5,7,8,10,11,14],[4,5,6,7,8,10,13]]; G[7571]:=Group([(1,11)(3,12)(4,10)(5,6)(7,13)]); # Design 7572: autom. group order 2, simple, residual B[7572]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,11,14],[1,2,7,9,11,12,13],[1,3,5,6,12,13,14],[1,3,7,8,11,13,14],[1,4,6,7,8,12,14],[1,4,6,9,10,12,14],[1,4,8,9,11,12,13],[1,5,6,7,9,10,13],[1,5,7,8,10,11,14],[2,3,6,8,9,11,14],[2,3,7,10,12,13,14],[2,4,5,7,9,13,14],[2,4,5,8,12,13,14],[2,4,6,10,11,13,14],[2,5,6,7,8,11,12],[2,6,7,8,9,10,12],[3,4,5,7,10,11,12],[3,4,6,7,9,11,14],[3,4,7,8,9,10,13],[3,5,6,9,11,12,13],[3,5,8,9,10,12,14],[4,5,6,8,10,11,13]]; G[7572]:=Group([(1,14)(3,13)(6,12)(7,8)]); # Design 7573: autom. group order 2, simple, residual B[7573]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,11,14],[1,2,7,9,11,12,13],[1,3,5,6,12,13,14],[1,3,7,8,11,13,14],[1,4,6,7,8,12,14],[1,4,6,9,11,12,14],[1,4,8,9,10,12,13],[1,5,6,7,9,10,13],[1,5,7,8,10,11,14],[2,3,6,8,9,11,14],[2,3,7,10,12,13,14],[2,4,5,7,9,13,14],[2,4,5,8,12,13,14],[2,4,6,10,11,13,14],[2,5,6,7,8,11,12],[2,6,7,8,9,10,12],[3,4,5,7,10,11,12],[3,4,6,7,9,10,14],[3,4,7,8,9,11,13],[3,5,6,9,11,12,13],[3,5,8,9,10,12,14],[4,5,6,8,10,11,13]]; G[7573]:=Group([(1,14)(3,13)(6,12)(7,8)]); # Design 7574: autom. group order 2, simple, residual B[7574]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,10,11,13,14],[1,2,7,8,9,10,12],[1,3,5,6,8,12,13],[1,3,7,8,9,11,13],[1,4,6,8,11,13,14],[1,4,6,9,10,12,14],[1,4,7,8,11,12,14],[1,5,6,7,9,12,14],[1,5,7,9,10,11,13],[2,3,6,7,9,11,14],[2,3,7,8,12,13,14],[2,4,5,7,12,13,14],[2,4,5,9,11,12,13],[2,4,6,7,8,10,11],[2,5,6,8,9,11,14],[2,6,8,9,10,12,13],[3,4,5,8,9,10,14],[3,4,6,9,11,12,13],[3,4,7,9,10,13,14],[3,5,6,7,10,11,12],[3,5,8,10,11,12,14],[4,5,6,7,8,10,13]]; G[7574]:=Group([(1,12)(2,11)(4,10)(9,14)]); # Design 7575: autom. group order 2, simple, residual B[7575]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,7,9,10,12,14],[1,3,5,6,9,12,13],[1,3,7,9,11,13,14],[1,4,6,8,10,12,14],[1,4,6,9,11,13,14],[1,4,7,8,9,11,12],[1,5,6,7,8,12,14],[1,5,7,8,10,11,13],[2,3,6,7,8,11,14],[2,3,7,8,9,12,13],[2,4,5,7,12,13,14],[2,4,5,11,12,13,14],[2,4,6,7,9,10,11],[2,5,6,8,9,11,14],[2,6,8,9,10,12,13],[3,4,5,8,9,10,14],[3,4,6,8,11,12,13],[3,4,7,8,10,13,14],[3,5,6,7,10,11,12],[3,5,9,10,11,12,14],[4,5,6,7,9,10,13]]; G[7575]:=Group([(1,12)(2,11)(4,10)(8,14)]); # Design 7576: autom. group order 2, simple, residual B[7576]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,13,14],[1,2,7,9,10,11,13],[1,3,5,6,10,12,14],[1,3,7,9,10,12,13],[1,4,6,8,9,11,13],[1,4,6,9,12,13,14],[1,4,7,8,11,12,14],[1,5,6,7,8,11,12],[1,5,7,8,9,10,14],[2,3,6,7,9,11,12],[2,3,7,8,12,13,14],[2,4,5,8,9,10,12],[2,4,5,11,12,13,14],[2,4,6,7,8,10,13],[2,5,6,7,9,11,14],[2,6,8,9,10,12,14],[3,4,5,7,9,13,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,14],[3,5,6,8,10,11,13],[3,5,8,9,11,12,13],[4,5,6,7,10,12,13]]; G[7576]:=Group([(1,10)(2,11)(5,14)(7,9)]); # Design 7577: autom. group order 2, simple B[7577]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,8,9,11,13],[1,3,5,6,9,12,14],[1,3,8,9,10,13,14],[1,4,6,7,9,11,14],[1,4,6,7,10,12,13],[1,4,7,8,9,10,12],[1,5,6,8,11,12,14],[1,5,7,10,11,13,14],[2,3,6,7,9,11,13],[2,3,7,8,10,12,14],[2,4,5,7,12,13,14],[2,4,5,9,10,11,14],[2,4,6,8,10,11,14],[2,5,6,9,10,12,13],[2,6,7,8,9,12,14],[3,4,5,7,8,13,14],[3,4,6,8,11,12,13],[3,4,9,11,12,13,14],[3,5,6,7,8,10,11],[3,5,7,9,10,11,12],[4,5,6,8,9,10,13]]; G[7577]:=Group([(1,11)(2,12)(5,13)(6,9)(7,14)]); # Design 7578: autom. group order 2, simple B[7578]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,8,9,11,13],[1,3,5,6,9,12,14],[1,3,8,9,10,13,14],[1,4,6,7,9,11,14],[1,4,6,7,10,12,13],[1,4,7,8,10,11,14],[1,5,6,8,11,12,14],[1,5,7,9,10,12,13],[2,3,6,7,9,11,13],[2,3,7,8,10,12,14],[2,4,5,7,12,13,14],[2,4,5,9,10,11,14],[2,4,6,8,9,10,12],[2,5,6,10,11,13,14],[2,6,7,8,9,12,14],[3,4,5,7,8,13,14],[3,4,6,8,11,12,13],[3,4,9,11,12,13,14],[3,5,6,7,8,10,11],[3,5,7,9,10,11,12],[4,5,6,8,9,10,13]]; G[7578]:=Group([(1,11)(2,12)(5,13)(6,9)(7,14)]); # Design 7579: autom. group order 2, simple, residual B[7579]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,13,14],[1,2,7,9,10,12,13],[1,3,5,6,10,12,14],[1,3,8,9,10,11,13],[1,4,6,7,8,9,13],[1,4,6,8,11,12,14],[1,4,7,9,11,12,14],[1,5,6,7,11,12,13],[1,5,7,8,9,10,14],[2,3,6,7,9,11,14],[2,3,7,8,11,12,13],[2,4,5,7,8,10,12],[2,4,5,9,11,13,14],[2,4,6,7,10,13,14],[2,5,6,8,9,11,12],[2,6,8,9,10,12,14],[3,4,5,9,12,13,14],[3,4,6,9,10,12,13],[3,4,7,8,10,11,14],[3,5,6,7,9,10,11],[3,5,7,8,12,13,14],[4,5,6,8,10,11,13]]; G[7579]:=Group([(2,11)(3,12)(5,14)(7,8)]); # Design 7580: autom. group order 2, simple B[7580]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,8,9,10,13,14],[1,3,5,6,7,13,14],[1,3,7,8,11,12,13],[1,4,6,7,8,9,11],[1,4,6,10,11,12,14],[1,4,7,9,11,13,14],[1,5,6,8,9,10,12],[1,5,7,9,10,12,14],[2,3,6,9,11,12,14],[2,3,7,8,9,12,14],[2,4,5,7,10,12,13],[2,4,5,9,11,13,14],[2,4,6,7,8,12,14],[2,5,6,7,9,10,11],[2,6,7,8,10,11,13],[3,4,5,8,10,11,14],[3,4,6,8,9,10,13],[3,4,7,9,10,12,13],[3,5,6,9,11,12,13],[3,5,7,8,10,11,14],[4,5,6,8,12,13,14]]; G[7580]:=Group([(1,12)(2,6)(3,14)(5,8)(9,13)(10,11)]); # Design 7581: autom. group order 2, simple, residual B[7581]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,7,9,10,12,13],[1,3,5,6,7,12,14],[1,3,7,8,9,10,14],[1,4,6,8,10,11,14],[1,4,7,8,11,13,14],[1,4,7,9,11,12,13],[1,5,6,8,9,11,12],[1,5,6,9,10,13,14],[2,3,6,9,11,13,14],[2,3,7,8,9,11,14],[2,4,5,7,10,13,14],[2,4,5,9,11,12,14],[2,4,6,8,10,12,14],[2,5,6,7,8,11,13],[2,6,7,8,9,10,12],[3,4,5,8,9,10,13],[3,4,6,7,8,12,13],[3,4,6,9,12,13,14],[3,5,7,10,11,12,14],[3,5,8,10,11,12,13],[4,5,6,7,9,10,11]]; G[7581]:=Group([(1,10)(2,11)(4,12)(6,13)(7,8)(9,14)]); # Design 7582: autom. group order 2, simple, residual B[7582]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,7,8,10,11,14],[1,3,5,6,7,12,14],[1,3,7,9,10,13,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,13],[1,4,7,8,11,12,14],[1,5,6,8,9,10,12],[1,5,6,9,11,13,14],[2,3,6,8,9,11,14],[2,3,7,9,12,13,14],[2,4,5,7,9,11,13],[2,4,5,9,10,12,14],[2,4,6,10,12,13,14],[2,5,6,7,8,10,13],[2,6,7,8,9,11,12],[3,4,5,8,11,13,14],[3,4,6,7,8,12,13],[3,4,6,8,9,10,14],[3,5,7,9,10,11,12],[3,5,8,10,11,12,13],[4,5,6,7,10,11,14]]; G[7582]:=Group([(1,11)(2,10)(4,12)(6,13)(7,8)]); # Design 7583: autom. group order 2, simple, residual B[7583]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,7,8,10,11,14],[1,3,5,6,7,12,14],[1,3,7,8,9,10,14],[1,4,6,9,10,12,13],[1,4,7,8,9,11,13],[1,4,7,11,12,13,14],[1,5,6,8,9,11,12],[1,5,6,9,10,13,14],[2,3,6,9,11,13,14],[2,3,7,9,12,13,14],[2,4,5,7,9,10,13],[2,4,5,9,11,12,14],[2,4,6,8,10,12,14],[2,5,6,7,8,11,13],[2,6,7,8,9,10,12],[3,4,5,8,10,13,14],[3,4,6,7,8,12,13],[3,4,6,8,9,11,14],[3,5,7,9,10,11,12],[3,5,8,10,11,12,13],[4,5,6,7,10,11,14]]; G[7583]:=Group([(1,10)(2,11)(4,12)(6,13)(7,8)]); # Design 7584: autom. group order 2, simple, residual B[7584]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,10,11,12,14],[1,3,5,6,9,11,14],[1,3,7,9,12,13,14],[1,4,6,7,9,10,13],[1,4,7,8,9,11,13],[1,4,8,9,10,12,14],[1,5,6,7,8,12,14],[1,5,6,8,10,11,13],[2,3,6,8,9,12,13],[2,3,7,8,9,11,14],[2,4,5,7,11,13,14],[2,4,5,9,10,13,14],[2,4,6,8,12,13,14],[2,5,6,7,9,10,12],[2,6,7,8,9,10,11],[3,4,5,7,8,10,12],[3,4,6,7,11,12,13],[3,4,6,8,10,11,14],[3,5,7,8,10,13,14],[3,5,9,10,11,12,13],[4,5,6,9,11,12,14]]; G[7584]:=Group([(1,13)(3,14)(6,10)(7,9)(8,11)]); # Design 7585: autom. group order 2, simple B[7585]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,9,10,11,13,14],[1,3,5,6,9,12,14],[1,3,7,8,9,11,14],[1,4,6,7,8,10,14],[1,4,7,8,12,13,14],[1,4,7,9,10,11,12],[1,5,6,7,9,11,13],[1,5,6,8,10,12,13],[2,3,6,7,8,11,12],[2,3,7,9,12,13,14],[2,4,5,7,12,13,14],[2,4,5,8,9,10,14],[2,4,6,8,9,11,13],[2,5,6,7,10,11,14],[2,6,7,8,9,10,12],[3,4,5,7,10,11,13],[3,4,6,8,11,13,14],[3,4,6,9,10,12,13],[3,5,7,8,9,10,13],[3,5,8,10,11,12,14],[4,5,6,9,11,12,14]]; G[7585]:=Group([(1,8)(3,9)(6,10)(7,14)(12,13)]); # Design 7586: autom. group order 2, simple, residual B[7586]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,8,9,10,11,14],[1,3,5,6,9,12,14],[1,3,7,9,11,13,14],[1,4,6,7,9,10,13],[1,4,7,8,9,12,13],[1,4,7,10,11,12,14],[1,5,6,7,8,11,14],[1,5,6,8,10,12,13],[2,3,6,7,11,12,13],[2,3,7,8,9,12,14],[2,4,5,7,12,13,14],[2,4,5,9,10,13,14],[2,4,6,8,11,13,14],[2,5,6,7,9,10,11],[2,6,7,8,9,10,12],[3,4,5,7,8,10,11],[3,4,6,8,9,11,13],[3,4,6,8,10,12,14],[3,5,7,8,10,13,14],[3,5,9,10,11,12,13],[4,5,6,9,11,12,14]]; G[7586]:=Group([(1,13)(3,14)(6,10)(7,9)(8,12)]); # Design 7587: autom. group order 2, simple, residual B[7587]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,8,10,13,14],[1,3,5,9,11,13,14],[1,3,6,7,9,12,14],[1,4,6,8,9,10,13],[1,4,6,11,12,13,14],[1,4,7,8,11,12,14],[1,5,6,7,9,10,12],[1,5,8,9,10,11,12],[2,3,6,8,10,11,12],[2,3,7,9,11,12,13],[2,4,5,6,9,11,14],[2,4,5,7,10,12,14],[2,4,6,8,9,12,13],[2,5,9,10,12,13,14],[2,6,7,8,9,11,14],[3,4,5,8,12,13,14],[3,4,7,8,9,10,14],[3,4,7,9,10,11,13],[3,5,6,7,8,12,13],[3,5,6,8,10,11,14],[4,5,6,7,10,11,13]]; G[7587]:=Group([(2,12)(3,11)(5,14)(6,8)(9,13)]); # Design 7588: autom. group order 2, simple B[7588]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,7,9,10,11,14],[1,3,5,9,12,13,14],[1,3,6,7,9,10,13],[1,4,6,8,9,10,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,13],[1,5,6,8,9,11,12],[1,5,7,8,10,12,14],[2,3,6,8,10,11,12],[2,3,7,8,12,13,14],[2,4,5,6,10,12,14],[2,4,5,9,11,13,14],[2,4,6,7,9,12,13],[2,5,8,9,10,12,13],[2,6,7,8,9,11,14],[3,4,5,7,8,11,14],[3,4,7,9,10,12,14],[3,4,8,9,10,11,13],[3,5,6,7,9,11,12],[3,5,6,10,11,13,14],[4,5,6,7,8,10,13]]; G[7588]:=Group([(2,11)(3,12)(5,13)(6,8)(9,14)]); # Design 7589: autom. group order 2, simple, residual B[7589]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,9,10,11,12,14],[1,3,5,11,12,13,14],[1,3,6,7,9,11,13],[1,4,6,8,9,12,14],[1,4,6,8,11,13,14],[1,4,7,9,10,12,13],[1,5,6,7,8,11,12],[1,5,7,8,9,10,14],[2,3,6,7,9,12,14],[2,3,8,9,11,13,14],[2,4,5,6,10,11,14],[2,4,5,8,9,12,13],[2,4,6,7,12,13,14],[2,5,7,8,11,12,13],[2,6,7,8,9,10,11],[3,4,5,7,9,11,14],[3,4,7,8,10,11,12],[3,4,7,8,10,13,14],[3,5,6,8,10,12,14],[3,5,6,9,10,12,13],[4,5,6,9,10,11,13]]; G[7589]:=Group([(1,7)(2,8)(3,11)(4,12)(9,13)]); # Design 7590: autom. group order 2, simple B[7590]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,9,10,14],[1,2,7,8,10,13,14],[1,3,5,7,11,12,14],[1,3,6,7,9,12,14],[1,4,6,8,10,12,14],[1,4,6,9,11,13,14],[1,4,8,9,11,12,13],[1,5,6,7,9,10,13],[1,5,7,8,11,12,13],[2,3,6,8,11,13,14],[2,3,7,8,9,12,13],[2,4,5,6,9,12,13],[2,4,5,7,11,13,14],[2,4,6,7,8,12,14],[2,5,9,10,11,12,14],[2,6,7,9,10,11,12],[3,4,5,10,12,13,14],[3,4,7,8,9,10,11],[3,4,7,9,10,13,14],[3,5,6,8,9,11,14],[3,5,6,8,10,12,13],[4,5,6,7,8,10,11]]; G[7590]:=Group([(1,10)(3,11)(4,12)(5,9)(8,14)]); # Design 7591: autom. group order 2, simple B[7591]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,7,9,12,13,14],[1,3,5,7,11,12,14],[1,3,6,8,9,12,14],[1,4,6,7,9,10,13],[1,4,6,11,12,13,14],[1,4,8,9,10,11,14],[1,5,6,7,8,9,11],[1,5,7,8,10,12,13],[2,3,6,7,8,10,14],[2,3,7,9,11,13,14],[2,4,5,6,9,12,13],[2,4,5,8,11,13,14],[2,4,6,7,8,12,14],[2,5,7,9,10,11,12],[2,6,8,9,10,11,12],[3,4,5,9,10,12,14],[3,4,7,8,9,11,13],[3,4,7,8,10,12,13],[3,5,6,8,11,12,13],[3,5,6,9,10,13,14],[4,5,6,7,10,11,14]]; G[7591]:=Group([(1,11)(3,10)(4,12)(5,9)(7,8)]); # Design 7592: autom. group order 2, simple, residual B[7592]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,7,9,12,13,14],[1,3,5,7,11,12,14],[1,3,6,8,9,12,14],[1,4,6,7,9,10,13],[1,4,6,11,12,13,14],[1,4,8,9,10,11,14],[1,5,6,7,8,9,11],[1,5,7,8,10,12,13],[2,3,6,7,8,10,14],[2,3,7,9,11,13,14],[2,4,5,6,9,12,14],[2,4,5,8,11,13,14],[2,4,6,7,8,12,13],[2,5,7,9,10,11,12],[2,6,8,9,10,11,12],[3,4,5,9,10,12,13],[3,4,7,8,9,11,13],[3,4,7,8,10,12,14],[3,5,6,8,11,12,13],[3,5,6,9,10,13,14],[4,5,6,7,10,11,14]]; G[7592]:=Group([(1,11)(3,10)(4,12)(5,9)(7,8)]); # Design 7593: autom. group order 2, simple B[7593]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,9,10,14],[1,2,7,8,10,13,14],[1,3,5,7,11,12,14],[1,3,6,9,12,13,14],[1,4,6,7,9,11,14],[1,4,6,8,10,12,14],[1,4,8,9,11,12,13],[1,5,6,7,9,10,13],[1,5,7,8,11,12,13],[2,3,6,8,11,13,14],[2,3,7,8,9,12,13],[2,4,5,6,9,12,13],[2,4,5,7,11,13,14],[2,4,6,7,8,12,14],[2,5,9,10,11,12,14],[2,6,7,9,10,11,12],[3,4,5,10,12,13,14],[3,4,7,8,9,10,11],[3,4,7,9,10,13,14],[3,5,6,7,8,10,12],[3,5,6,8,9,11,14],[4,5,6,8,10,11,13]]; G[7593]:=Group([(1,10)(3,11)(4,12)(5,9)(8,14)]); # Design 7594: autom. group order 2, simple, residual B[7594]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,7,9,12,13,14],[1,3,5,7,11,12,14],[1,3,6,8,9,12,14],[1,4,6,8,11,12,13],[1,4,6,9,10,13,14],[1,4,7,9,10,11,14],[1,5,6,7,8,9,11],[1,5,7,8,10,12,13],[2,3,6,7,8,10,14],[2,3,8,9,11,13,14],[2,4,5,6,9,12,14],[2,4,5,7,11,13,14],[2,4,6,7,8,12,13],[2,5,8,9,10,11,12],[2,6,7,9,10,11,12],[3,4,5,9,10,12,13],[3,4,7,8,9,11,13],[3,4,7,8,10,12,14],[3,5,6,7,9,10,13],[3,5,6,11,12,13,14],[4,5,6,8,10,11,14]]; G[7594]:=Group([(1,11)(3,10)(4,12)(5,9)]); # Design 7595: autom. group order 2, simple, residual B[7595]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,9,10,14],[1,2,7,8,10,13,14],[1,3,5,11,12,13,14],[1,3,6,7,9,12,14],[1,4,6,8,10,12,14],[1,4,6,9,11,13,14],[1,4,7,8,9,11,12],[1,5,6,7,9,10,13],[1,5,7,8,11,12,13],[2,3,6,7,8,11,14],[2,3,7,8,9,12,13],[2,4,5,6,9,12,13],[2,4,5,7,11,13,14],[2,4,6,8,12,13,14],[2,5,9,10,11,12,14],[2,6,7,9,10,11,12],[3,4,5,7,10,12,14],[3,4,7,9,10,13,14],[3,4,8,9,10,11,13],[3,5,6,8,9,11,14],[3,5,6,8,10,12,13],[4,5,6,7,8,10,11]]; G[7595]:=Group([(1,10)(3,11)(4,12)(5,9)(8,14)]); # Design 7596: autom. group order 2, simple, residual B[7596]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,9,10,14],[1,2,7,8,10,13,14],[1,3,5,11,12,13,14],[1,3,6,9,12,13,14],[1,4,6,7,9,11,14],[1,4,6,8,10,12,14],[1,4,7,8,9,11,12],[1,5,6,7,9,10,13],[1,5,7,8,11,12,13],[2,3,6,7,8,11,14],[2,3,7,8,9,12,13],[2,4,5,6,9,12,13],[2,4,5,7,11,13,14],[2,4,6,8,12,13,14],[2,5,9,10,11,12,14],[2,6,7,9,10,11,12],[3,4,5,7,10,12,14],[3,4,7,9,10,13,14],[3,4,8,9,10,11,13],[3,5,6,7,8,10,12],[3,5,6,8,9,11,14],[4,5,6,8,10,11,13]]; G[7596]:=Group([(1,10)(3,11)(4,12)(5,9)(8,14)]); # Design 7597: autom. group order 2, simple B[7597]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,10,11,12,13],[1,2,8,9,10,13,14],[1,3,5,8,10,11,14],[1,3,6,8,9,12,14],[1,4,6,7,10,11,14],[1,4,6,8,9,11,12],[1,4,7,9,10,13,14],[1,5,6,7,8,12,13],[1,5,7,9,11,12,13],[2,3,6,11,12,13,14],[2,3,7,8,9,11,13],[2,4,5,6,8,10,13],[2,4,5,7,9,12,14],[2,4,7,8,11,12,14],[2,5,6,9,10,12,14],[2,6,7,8,9,10,11],[3,4,5,9,11,13,14],[3,4,6,9,10,12,13],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,7,8,10,12,14],[4,5,6,8,11,13,14]]; G[7597]:=Group([(1,12)(2,10)(5,13)(6,8)]); # Design 7598: autom. group order 2, simple, residual B[7598]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,11,14],[1,2,7,9,11,12,13],[1,3,5,7,9,12,14],[1,3,6,9,11,13,14],[1,4,6,7,8,9,13],[1,4,6,8,11,12,14],[1,4,7,8,10,12,14],[1,5,6,10,11,12,13],[1,5,8,9,10,13,14],[2,3,6,7,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,5,9,12,13,14],[2,4,7,8,11,13,14],[2,5,6,8,9,11,12],[2,6,7,8,9,10,12],[3,4,5,8,11,12,13],[3,4,6,9,10,12,14],[3,4,7,9,10,11,13],[3,5,6,7,8,11,14],[3,5,7,8,10,12,13],[4,5,6,7,9,10,11]]; G[7598]:=Group([(1,14)(3,13)(7,10)(8,12)]); # Design 7599: autom. group order 2, simple, residual B[7599]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,7,9,10,11,14],[1,3,5,7,12,13,14],[1,3,6,9,10,13,14],[1,4,6,7,8,9,14],[1,4,6,9,11,12,13],[1,4,7,8,11,12,13],[1,5,6,8,10,11,12],[1,5,8,9,10,12,14],[2,3,6,8,11,12,14],[2,3,7,8,9,12,13],[2,4,5,6,9,12,14],[2,4,5,9,10,11,13],[2,4,7,8,10,12,14],[2,5,6,8,11,13,14],[2,6,7,9,10,12,13],[3,4,5,10,12,13,14],[3,4,6,7,10,11,14],[3,4,8,9,11,13,14],[3,5,6,7,9,11,12],[3,5,7,8,9,10,11],[4,5,6,7,8,10,13]]; G[7599]:=Group([(2,11)(3,12)(5,13)(6,8)]); # Design 7600: autom. group order 2, simple B[7600]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,7,8,9,12,13],[1,3,5,7,8,12,14],[1,3,6,8,11,13,14],[1,4,6,7,9,10,14],[1,4,6,8,9,10,13],[1,4,7,9,11,12,13],[1,5,6,8,10,11,12],[1,5,9,10,11,12,14],[2,3,6,9,11,12,13],[2,3,8,9,10,12,14],[2,4,5,6,9,12,14],[2,4,5,8,10,11,13],[2,4,7,8,10,11,14],[2,5,6,7,10,12,13],[2,6,7,8,9,11,14],[3,4,5,9,11,13,14],[3,4,6,7,8,11,12],[3,4,7,10,12,13,14],[3,5,6,7,9,10,11],[3,5,7,8,9,10,13],[4,5,6,8,12,13,14]]; G[7600]:=Group([(2,11)(3,12)(4,10)(6,9)(7,14)]); # Design 7601: autom. group order 2, simple, residual B[7601]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,7,8,9,12,13],[1,3,5,7,8,12,14],[1,3,6,8,11,13,14],[1,4,6,7,9,10,14],[1,4,6,8,9,10,13],[1,4,7,9,11,12,13],[1,5,6,8,10,11,12],[1,5,9,10,11,12,14],[2,3,6,8,9,11,12],[2,3,9,10,12,13,14],[2,4,5,6,9,12,14],[2,4,5,8,10,11,13],[2,4,7,8,10,11,14],[2,5,6,7,10,12,13],[2,6,7,8,9,11,14],[3,4,5,9,11,13,14],[3,4,6,7,11,12,13],[3,4,7,8,10,12,14],[3,5,6,7,9,10,11],[3,5,7,8,9,10,13],[4,5,6,8,12,13,14]]; G[7601]:=Group([(2,11)(3,12)(4,10)(6,9)(7,14)]); # Design 7602: autom. group order 2, simple, residual B[7602]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,11,14],[1,2,7,9,11,12,13],[1,3,5,7,9,12,14],[1,3,6,9,11,13,14],[1,4,6,8,11,12,14],[1,4,6,9,10,12,13],[1,4,7,8,10,12,14],[1,5,6,7,8,11,13],[1,5,8,9,10,13,14],[2,3,6,7,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,13,14],[2,4,5,9,12,13,14],[2,4,7,8,11,13,14],[2,5,6,8,9,11,12],[2,6,7,8,9,10,12],[3,4,5,8,11,12,13],[3,4,6,7,8,9,14],[3,4,7,9,10,11,13],[3,5,6,10,11,12,14],[3,5,7,8,10,12,13],[4,5,6,7,9,10,11]]; G[7602]:=Group([(1,14)(3,13)(7,10)(8,12)]); # Design 7603: autom. group order 2, simple, residual B[7603]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,9,12,13,14],[1,3,5,8,9,12,14],[1,3,6,7,8,10,13],[1,4,6,7,9,11,12],[1,4,6,8,9,11,14],[1,4,7,9,10,13,14],[1,5,6,10,11,12,14],[1,5,8,10,11,12,13],[2,3,6,9,11,12,13],[2,3,7,8,11,12,14],[2,4,5,6,11,13,14],[2,4,5,9,10,12,13],[2,4,7,8,10,12,14],[2,5,6,8,9,10,14],[2,6,7,8,9,10,11],[3,4,5,7,10,11,14],[3,4,6,8,12,13,14],[3,4,8,9,10,11,13],[3,5,6,7,9,10,12],[3,5,7,9,11,13,14],[4,5,6,7,8,12,13]]; G[7603]:=Group([(2,12)(3,11)(4,10)(7,14)(9,13)]); # Design 7604: autom. group order 2, simple, residual B[7604]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,9,12,13,14],[1,3,5,8,9,12,14],[1,3,6,7,8,10,13],[1,4,6,7,9,11,12],[1,4,6,8,9,11,14],[1,4,7,9,10,13,14],[1,5,6,10,11,12,14],[1,5,8,10,11,12,13],[2,3,6,9,11,12,13],[2,3,8,9,10,11,14],[2,4,5,6,11,13,14],[2,4,5,9,10,12,13],[2,4,7,8,10,12,14],[2,5,6,7,8,12,14],[2,6,7,8,9,10,11],[3,4,5,7,10,11,14],[3,4,6,8,12,13,14],[3,4,7,8,11,12,13],[3,5,6,7,9,10,12],[3,5,7,9,11,13,14],[4,5,6,8,9,10,13]]; G[7604]:=Group([(2,12)(3,11)(4,10)(7,14)(9,13)]); # Design 7605: autom. group order 2, simple B[7605]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,9,11,13,14],[1,3,5,8,9,12,14],[1,3,6,7,8,12,13],[1,4,6,7,9,11,12],[1,4,6,8,9,10,14],[1,4,7,9,10,13,14],[1,5,6,10,11,12,13],[1,5,8,10,11,12,14],[2,3,6,9,11,12,14],[2,3,8,9,10,11,13],[2,4,5,6,12,13,14],[2,4,5,9,10,12,13],[2,4,7,8,11,12,14],[2,5,6,7,8,10,14],[2,6,7,8,9,10,12],[3,4,5,7,10,11,14],[3,4,6,8,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,7,9,12,13,14],[4,5,6,8,9,11,13]]; G[7605]:=Group([(2,11)(3,12)(4,10)(7,13)(9,14)]); # Design 7606: autom. group order 2, simple B[7606]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,9,12,13,14],[1,3,5,8,12,13,14],[1,3,6,7,8,11,14],[1,4,6,7,9,10,14],[1,4,6,8,9,10,13],[1,4,8,9,11,12,14],[1,5,6,10,11,12,13],[1,5,7,9,10,11,12],[2,3,6,9,11,12,14],[2,3,7,8,9,10,12],[2,4,5,6,9,12,13],[2,4,5,7,10,11,14],[2,4,8,10,11,13,14],[2,5,6,8,10,12,14],[2,6,7,8,9,11,13],[3,4,5,9,11,13,14],[3,4,6,7,11,12,13],[3,4,7,8,10,12,13],[3,5,6,8,9,10,11],[3,5,7,9,10,13,14],[4,5,6,7,8,12,14]]; G[7606]:=Group([(2,11)(3,12)(4,10)(6,9)(8,13)]); # Design 7607: autom. group order 2, simple B[7607]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,7,8,9,10,13],[1,3,5,8,10,12,13],[1,3,6,7,9,12,14],[1,4,6,7,8,9,14],[1,4,6,8,11,12,13],[1,4,9,11,12,13,14],[1,5,6,8,10,11,14],[1,5,7,9,10,11,12],[2,3,6,8,9,11,12],[2,3,7,8,11,12,14],[2,4,5,6,9,11,13],[2,4,5,9,10,12,14],[2,4,7,8,10,11,14],[2,5,6,8,12,13,14],[2,6,7,9,10,12,13],[3,4,5,7,12,13,14],[3,4,6,7,10,11,13],[3,4,8,9,10,13,14],[3,5,6,9,10,11,14],[3,5,7,8,9,11,13],[4,5,6,7,8,10,12]]; G[7607]:=Group([(2,11)(3,12)(5,13)(6,9)(7,14)]); # Design 7608: autom. group order 2, simple, residual B[7608]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,7,8,9,10,13],[1,3,5,8,10,12,13],[1,3,6,7,9,12,14],[1,4,6,7,8,9,14],[1,4,6,8,11,12,13],[1,4,9,11,12,13,14],[1,5,6,8,10,11,14],[1,5,7,9,10,11,12],[2,3,6,8,9,11,12],[2,3,7,8,11,12,14],[2,4,5,6,12,13,14],[2,4,5,9,10,12,14],[2,4,7,8,10,11,14],[2,5,6,8,9,11,13],[2,6,7,9,10,12,13],[3,4,5,7,9,11,13],[3,4,6,7,10,11,13],[3,4,8,9,10,13,14],[3,5,6,9,10,11,14],[3,5,7,8,12,13,14],[4,5,6,7,8,10,12]]; G[7608]:=Group([(2,11)(3,12)(5,13)(6,9)(7,14)]); # Design 7609: autom. group order 2, simple B[7609]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,8,10,13,14],[1,3,5,9,11,13,14],[1,3,6,7,9,12,14],[1,4,6,8,9,10,13],[1,4,6,11,12,13,14],[1,4,7,8,11,12,14],[1,5,6,7,9,10,12],[1,5,8,9,10,11,12],[2,3,6,8,10,11,12],[2,3,7,9,11,12,13],[2,4,5,6,8,12,14],[2,4,5,9,12,13,14],[2,4,7,9,10,12,13],[2,5,6,9,10,11,14],[2,6,7,8,9,11,14],[3,4,5,7,10,11,14],[3,4,6,8,9,11,13],[3,4,7,8,9,10,14],[3,5,6,7,8,12,13],[3,5,8,10,12,13,14],[4,5,6,7,10,11,13]]; G[7609]:=Group([(2,12)(3,11)(5,14)(6,8)(9,13)]); # Design 7610: autom. group order 2, simple, residual B[7610]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,7,8,9,10,13],[1,3,5,8,12,13,14],[1,3,6,7,9,12,14],[1,4,6,8,9,10,14],[1,4,6,8,11,12,13],[1,4,7,9,11,12,13],[1,5,6,7,8,10,11],[1,5,9,10,11,12,14],[2,3,6,9,10,11,12],[2,3,8,9,11,13,14],[2,4,5,6,9,11,13],[2,4,5,7,10,12,14],[2,4,7,8,9,12,14],[2,5,6,8,11,12,14],[2,6,7,8,10,12,13],[3,4,5,8,10,12,13],[3,4,6,7,8,11,14],[3,4,7,10,11,13,14],[3,5,6,7,9,12,13],[3,5,7,8,9,10,11],[4,5,6,9,10,13,14]]; G[7610]:=Group([(2,11)(3,12)(5,13)(6,9)]); # Design 7611: autom. group order 2, simple, residual B[7611]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,7,8,10,12,13],[1,3,5,8,9,12,14],[1,3,6,7,9,11,13],[1,4,6,8,9,11,13],[1,4,6,8,11,12,14],[1,4,7,9,10,12,14],[1,5,6,9,10,12,13],[1,5,7,8,10,11,14],[2,3,6,8,12,13,14],[2,3,7,9,11,12,14],[2,4,5,6,10,11,12],[2,4,5,9,11,13,14],[2,4,7,8,9,10,13],[2,5,6,7,8,9,12],[2,6,8,9,10,11,14],[3,4,5,8,10,13,14],[3,4,6,7,9,10,14],[3,4,7,8,11,12,13],[3,5,6,7,8,10,11],[3,5,9,10,11,12,13],[4,5,6,7,12,13,14]]; G[7611]:=Group([(2,13)(3,6)(4,9)(5,11)]); # Design 7612: autom. group order 2, simple, residual B[7612]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,7,8,10,12,13],[1,3,5,8,9,12,14],[1,3,6,7,9,11,13],[1,4,6,8,9,11,13],[1,4,6,8,11,12,14],[1,4,7,9,10,12,14],[1,5,6,9,10,12,13],[1,5,7,8,10,11,14],[2,3,6,8,12,13,14],[2,3,7,9,11,12,14],[2,4,5,6,10,11,12],[2,4,5,9,11,13,14],[2,4,7,8,9,12,13],[2,5,6,7,8,9,10],[2,6,8,9,10,11,14],[3,4,5,8,10,13,14],[3,4,6,7,9,10,14],[3,4,7,8,10,11,13],[3,5,6,7,8,11,12],[3,5,9,10,11,12,13],[4,5,6,7,12,13,14]]; G[7612]:=Group([(2,13)(3,6)(4,9)(5,11)]); # Design 7613: autom. group order 2, simple, residual B[7613]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,7,8,10,12,13],[1,3,5,8,9,12,14],[1,3,6,7,9,11,13],[1,4,6,8,9,11,13],[1,4,6,8,11,12,14],[1,4,7,9,10,12,14],[1,5,6,9,10,12,13],[1,5,7,8,10,11,14],[2,3,6,8,12,13,14],[2,3,7,8,9,10,11],[2,4,5,6,10,11,12],[2,4,5,9,11,13,14],[2,4,7,8,9,12,13],[2,5,6,7,9,12,14],[2,6,8,9,10,11,14],[3,4,5,8,10,13,14],[3,4,6,7,9,10,14],[3,4,7,11,12,13,14],[3,5,6,7,8,11,12],[3,5,9,10,11,12,13],[4,5,6,7,8,10,13]]; G[7613]:=Group([(2,13)(3,6)(4,9)(5,11)]); # Design 7614: autom. group order 2, simple, residual B[7614]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,7,8,10,12,13],[1,3,5,8,9,12,14],[1,3,6,7,9,11,13],[1,4,6,8,9,11,13],[1,4,6,8,11,12,14],[1,4,7,9,10,12,14],[1,5,6,9,10,12,13],[1,5,7,8,10,11,14],[2,3,6,8,12,13,14],[2,3,7,8,9,11,12],[2,4,5,6,10,11,12],[2,4,5,9,11,13,14],[2,4,7,8,9,10,13],[2,5,6,7,9,12,14],[2,6,8,9,10,11,14],[3,4,5,8,10,13,14],[3,4,6,7,9,10,14],[3,4,7,11,12,13,14],[3,5,6,7,8,10,11],[3,5,9,10,11,12,13],[4,5,6,7,8,12,13]]; G[7614]:=Group([(2,13)(3,6)(4,9)(5,11)]); # Design 7615: autom. group order 2, simple, residual B[7615]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,7,8,10,12,13],[1,3,5,8,9,12,14],[1,3,6,7,9,11,13],[1,4,6,8,9,11,13],[1,4,6,8,11,12,14],[1,4,7,9,10,12,14],[1,5,6,9,10,12,13],[1,5,7,8,10,11,14],[2,3,6,8,12,13,14],[2,3,7,9,11,12,14],[2,4,5,6,10,11,12],[2,4,5,9,11,13,14],[2,4,7,8,9,10,13],[2,5,6,8,9,10,14],[2,6,7,8,9,11,12],[3,4,5,7,8,12,13],[3,4,6,7,9,10,14],[3,4,8,10,11,13,14],[3,5,6,7,8,10,11],[3,5,9,10,11,12,13],[4,5,6,7,12,13,14]]; G[7615]:=Group([(2,13)(3,6)(4,9)(5,11)]); # Design 7616: autom. group order 2, simple, residual B[7616]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,7,8,10,12,13],[1,3,5,8,9,12,14],[1,3,6,7,9,11,13],[1,4,6,8,9,11,13],[1,4,6,8,11,12,14],[1,4,7,9,10,12,14],[1,5,6,9,10,12,13],[1,5,7,8,10,11,14],[2,3,6,8,12,13,14],[2,3,7,9,11,12,14],[2,4,5,6,10,11,12],[2,4,5,9,11,13,14],[2,4,7,8,9,12,13],[2,5,6,8,9,10,14],[2,6,7,8,9,10,11],[3,4,5,7,8,10,13],[3,4,6,7,9,10,14],[3,4,8,10,11,13,14],[3,5,6,7,8,11,12],[3,5,9,10,11,12,13],[4,5,6,7,12,13,14]]; G[7616]:=Group([(2,13)(3,6)(4,9)(5,11)]); # Design 7617: autom. group order 2, simple, residual B[7617]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,7,8,10,12,13],[1,3,5,8,9,12,14],[1,3,6,7,9,11,13],[1,4,6,8,9,11,13],[1,4,6,8,11,12,14],[1,4,7,9,10,12,14],[1,5,6,9,10,12,13],[1,5,7,8,10,11,14],[2,3,6,8,12,13,14],[2,3,7,8,9,10,11],[2,4,5,6,10,11,12],[2,4,5,9,11,13,14],[2,4,7,8,9,12,13],[2,5,6,8,9,10,14],[2,6,7,9,11,12,14],[3,4,5,7,12,13,14],[3,4,6,7,9,10,14],[3,4,8,10,11,13,14],[3,5,6,7,8,11,12],[3,5,9,10,11,12,13],[4,5,6,7,8,10,13]]; G[7617]:=Group([(2,13)(3,6)(4,9)(5,11)]); # Design 7618: autom. group order 2, simple, residual B[7618]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,7,8,10,12,13],[1,3,5,8,9,12,14],[1,3,6,7,9,11,13],[1,4,6,8,9,11,13],[1,4,6,8,11,12,14],[1,4,7,9,10,12,14],[1,5,6,9,10,12,13],[1,5,7,8,10,11,14],[2,3,6,8,12,13,14],[2,3,7,8,9,11,12],[2,4,5,6,10,11,12],[2,4,5,9,11,13,14],[2,4,7,8,9,10,13],[2,5,6,8,9,10,14],[2,6,7,9,11,12,14],[3,4,5,7,12,13,14],[3,4,6,7,9,10,14],[3,4,8,10,11,13,14],[3,5,6,7,8,10,11],[3,5,9,10,11,12,13],[4,5,6,7,8,12,13]]; G[7618]:=Group([(2,13)(3,6)(4,9)(5,11)]); # Design 7619: autom. group order 2, simple, residual B[7619]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,7,8,10,12,13],[1,3,5,8,9,12,14],[1,3,6,7,9,11,13],[1,4,6,8,9,11,13],[1,4,6,8,11,12,14],[1,4,7,9,10,12,14],[1,5,6,9,10,12,13],[1,5,7,8,10,11,14],[2,3,6,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,11,12],[2,4,5,9,11,13,14],[2,4,7,8,9,10,13],[2,5,6,7,9,12,14],[2,6,7,8,9,11,12],[3,4,5,7,8,12,13],[3,4,6,7,9,10,14],[3,4,7,11,12,13,14],[3,5,6,7,8,10,11],[3,5,9,10,11,12,13],[4,5,6,8,10,13,14]]; G[7619]:=Group([(2,13)(3,6)(4,9)(5,11)]); # Design 7620: autom. group order 2, simple, residual B[7620]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,7,8,10,12,13],[1,3,5,8,9,12,14],[1,3,6,7,9,11,13],[1,4,6,8,9,11,13],[1,4,6,8,11,12,14],[1,4,7,9,10,12,14],[1,5,6,9,10,12,13],[1,5,7,8,10,11,14],[2,3,6,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,11,12],[2,4,5,9,11,13,14],[2,4,7,8,9,12,13],[2,5,6,7,9,12,14],[2,6,7,8,9,10,11],[3,4,5,7,8,10,13],[3,4,6,7,9,10,14],[3,4,7,11,12,13,14],[3,5,6,7,8,11,12],[3,5,9,10,11,12,13],[4,5,6,8,10,13,14]]; G[7620]:=Group([(2,13)(3,6)(4,9)(5,11)]); # Design 7621: autom. group order 2, simple, residual B[7621]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,7,8,10,12,13],[1,3,5,8,9,12,14],[1,3,6,7,9,11,13],[1,4,6,8,9,11,13],[1,4,6,8,11,12,14],[1,4,7,9,10,12,14],[1,5,6,9,10,12,13],[1,5,7,8,10,11,14],[2,3,6,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,11,12],[2,4,5,9,11,13,14],[2,4,7,8,9,10,13],[2,5,6,7,8,9,12],[2,6,7,9,11,12,14],[3,4,5,7,12,13,14],[3,4,6,7,9,10,14],[3,4,7,8,11,12,13],[3,5,6,7,8,10,11],[3,5,9,10,11,12,13],[4,5,6,8,10,13,14]]; G[7621]:=Group([(2,13)(3,6)(4,9)(5,11)]); # Design 7622: autom. group order 2, simple, residual B[7622]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,7,8,10,12,13],[1,3,5,8,9,12,14],[1,3,6,7,9,11,13],[1,4,6,8,9,11,13],[1,4,6,8,11,12,14],[1,4,7,9,10,12,14],[1,5,6,9,10,12,13],[1,5,7,8,10,11,14],[2,3,6,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,10,11,12],[2,4,5,9,11,13,14],[2,4,7,8,9,12,13],[2,5,6,7,8,9,10],[2,6,7,9,11,12,14],[3,4,5,7,12,13,14],[3,4,6,7,9,10,14],[3,4,7,8,10,11,13],[3,5,6,7,8,11,12],[3,5,9,10,11,12,13],[4,5,6,8,10,13,14]]; G[7622]:=Group([(2,13)(3,6)(4,9)(5,11)]); # Design 7623: autom. group order 2, simple B[7623]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,7,8,10,11,14],[1,3,5,8,9,12,14],[1,3,6,8,9,11,13],[1,4,6,8,11,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,12,13],[1,5,6,7,9,10,11],[1,5,7,9,12,13,14],[2,3,6,7,8,12,14],[2,3,7,9,11,13,14],[2,4,5,6,12,13,14],[2,4,5,9,10,11,14],[2,4,8,9,11,12,13],[2,5,6,8,9,10,13],[2,6,7,8,9,10,12],[3,4,5,7,8,10,13],[3,4,6,7,9,11,12],[3,4,7,9,10,13,14],[3,5,6,10,11,12,13],[3,5,8,10,11,12,14],[4,5,6,7,8,11,14]]; G[7623]:=Group([(1,12)(2,11)(4,10)(7,13)(9,14)]); # Design 7624: autom. group order 2, simple B[7624]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,8,9,10,13,14],[1,3,5,7,8,12,13],[1,3,6,8,9,12,14],[1,4,6,7,8,11,14],[1,4,6,7,9,10,13],[1,4,7,9,11,12,14],[1,5,6,8,10,11,12],[1,5,9,10,11,12,13],[2,3,6,9,11,12,14],[2,3,7,8,11,12,13],[2,4,5,6,9,12,13],[2,4,5,8,10,11,14],[2,4,7,8,9,10,12],[2,5,6,7,10,12,14],[2,6,7,8,9,11,13],[3,4,5,9,11,13,14],[3,4,6,8,10,11,13],[3,4,7,10,12,13,14],[3,5,6,7,9,10,11],[3,5,7,8,9,10,14],[4,5,6,8,12,13,14]]; G[7624]:=Group([(2,11)(3,12)(4,10)(6,9)(7,13)]); # Design 7625: autom. group order 2, simple, residual B[7625]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,8,10,11,12,14],[1,3,5,7,11,13,14],[1,3,6,8,9,11,14],[1,4,6,7,8,12,14],[1,4,6,9,10,12,13],[1,4,7,9,10,13,14],[1,5,6,8,9,11,13],[1,5,7,8,9,10,12],[2,3,6,7,9,12,14],[2,3,7,8,9,10,13],[2,4,5,6,9,10,11],[2,4,5,8,12,13,14],[2,4,7,8,9,11,14],[2,5,6,9,12,13,14],[2,6,7,8,10,11,13],[3,4,5,8,10,13,14],[3,4,6,8,11,12,13],[3,4,7,9,11,12,13],[3,5,6,7,8,10,12],[3,5,9,10,11,12,14],[4,5,6,7,10,11,14]]; G[7625]:=Group([(1,11)(2,12)(5,13)(6,9)]); # Design 7626: autom. group order 2, simple, residual B[7626]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,8,10,11,12,14],[1,3,5,7,9,11,14],[1,3,6,8,9,12,14],[1,4,6,7,8,10,11],[1,4,6,8,9,11,13],[1,4,7,9,10,13,14],[1,5,6,9,10,12,13],[1,5,7,8,12,13,14],[2,3,6,7,8,12,13],[2,3,7,8,9,10,13],[2,4,5,6,9,12,14],[2,4,5,8,11,13,14],[2,4,7,9,10,12,14],[2,5,6,9,10,11,13],[2,6,7,8,9,11,14],[3,4,5,8,10,13,14],[3,4,6,11,12,13,14],[3,4,7,9,11,12,13],[3,5,6,7,10,11,14],[3,5,8,9,10,11,12],[4,5,6,7,8,10,12]]; G[7626]:=Group([(1,12)(2,11)(5,13)(6,9)(8,14)]); # Design 7627: autom. group order 2, simple, residual B[7627]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,8,10,11,13,14],[1,3,5,7,8,11,14],[1,3,6,8,9,12,14],[1,4,6,7,9,10,11],[1,4,6,8,9,11,13],[1,4,7,9,10,12,14],[1,5,6,8,10,12,13],[1,5,7,9,12,13,14],[2,3,6,7,9,12,13],[2,3,7,8,9,10,13],[2,4,5,6,8,12,14],[2,4,5,9,11,13,14],[2,4,7,8,10,12,14],[2,5,6,9,10,11,12],[2,6,7,8,9,11,14],[3,4,5,9,10,13,14],[3,4,6,11,12,13,14],[3,4,7,8,11,12,13],[3,5,6,7,10,11,14],[3,5,8,9,10,11,12],[4,5,6,7,8,10,13]]; G[7627]:=Group([(1,12)(2,11)(5,13)(6,8)(9,14)]); # Design 7628: autom. group order 2, simple, residual B[7628]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,8,9,10,11,13],[1,3,5,7,8,12,14],[1,3,6,8,9,11,14],[1,4,6,7,9,10,12],[1,4,6,8,9,12,13],[1,4,7,8,10,13,14],[1,5,6,10,11,12,14],[1,5,7,9,11,13,14],[2,3,6,7,9,11,13],[2,3,7,9,10,12,14],[2,4,5,6,8,11,14],[2,4,5,9,12,13,14],[2,4,7,8,10,11,14],[2,5,6,8,10,12,13],[2,6,7,8,9,12,14],[3,4,5,9,10,13,14],[3,4,6,11,12,13,14],[3,4,7,8,11,12,13],[3,5,6,7,8,10,13],[3,5,8,9,10,11,12],[4,5,6,7,9,10,11]]; G[7628]:=Group([(1,11)(2,12)(5,13)(6,8)(9,14)]); # Design 7629: autom. group order 2, simple B[7629]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,9,11,12,13,14],[1,3,5,9,10,11,13],[1,3,6,7,9,10,12],[1,4,6,7,9,12,14],[1,4,6,8,11,12,13],[1,4,7,8,10,11,14],[1,5,6,8,10,12,13],[1,5,7,8,9,11,14],[2,3,6,8,9,11,14],[2,3,7,8,10,11,12],[2,4,5,6,7,11,13],[2,4,5,9,10,12,14],[2,4,7,8,9,12,13],[2,5,6,8,10,12,14],[2,6,7,9,10,11,13],[3,4,5,11,12,13,14],[3,4,6,9,10,13,14],[3,4,7,8,10,13,14],[3,5,6,7,11,12,14],[3,5,7,8,9,12,13],[4,5,6,8,9,10,11]]; G[7629]:=Group([(1,13)(2,14)(5,10)(6,8)]); # Design 7630: autom. group order 2, simple, residual B[7630]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,10,13,14],[1,2,8,9,11,12,13],[1,3,5,8,11,12,14],[1,3,6,7,8,13,14],[1,4,6,8,9,10,14],[1,4,6,9,10,12,14],[1,4,7,8,11,13,14],[1,5,6,7,9,11,12],[1,5,7,9,10,12,13],[2,3,6,9,12,13,14],[2,3,7,8,9,12,14],[2,4,5,6,12,13,14],[2,4,5,7,9,11,14],[2,4,7,8,10,12,13],[2,5,6,8,10,11,14],[2,6,7,8,9,10,11],[3,4,5,8,9,10,13],[3,4,6,7,9,11,13],[3,4,7,10,11,12,14],[3,5,6,7,8,10,12],[3,5,9,10,11,13,14],[4,5,6,8,11,12,13]]; G[7630]:=Group([(1,10)(2,13)(3,5)(4,9)(6,14)(7,11)]); # Design 7631: autom. group order 2, simple B[7631]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,10,11,13],[1,2,8,9,10,12,14],[1,3,5,8,12,13,14],[1,3,6,7,11,12,14],[1,4,6,8,9,11,13],[1,4,6,9,11,13,14],[1,4,7,8,10,12,13],[1,5,6,7,8,9,10],[1,5,7,9,11,12,14],[2,3,6,8,9,11,12],[2,3,7,8,9,13,14],[2,4,5,6,12,13,14],[2,4,5,9,10,11,14],[2,4,7,8,11,12,13],[2,5,6,7,9,12,13],[2,6,7,8,10,11,14],[3,4,5,7,8,11,14],[3,4,6,7,9,10,12],[3,4,7,9,10,13,14],[3,5,6,8,10,11,13],[3,5,9,10,11,12,13],[4,5,6,8,10,12,14]]; G[7631]:=Group([(1,11)(2,10)(3,5)(4,13)(6,9)(7,12)]); # Design 7632: autom. group order 2, simple B[7632]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,8,9,10,11,13],[1,3,5,8,9,12,14],[1,3,6,7,8,11,14],[1,4,6,8,11,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,12,13],[1,5,6,7,9,10,11],[1,5,7,9,12,13,14],[2,3,6,8,9,12,13],[2,3,7,9,11,13,14],[2,4,5,6,12,13,14],[2,4,5,9,10,11,14],[2,4,7,8,11,12,14],[2,5,6,7,8,10,14],[2,6,7,8,9,10,12],[3,4,5,7,8,10,13],[3,4,6,7,9,11,12],[3,4,7,9,10,13,14],[3,5,6,10,11,12,13],[3,5,8,10,11,12,14],[4,5,6,8,9,11,13]]; G[7632]:=Group([(1,12)(2,11)(4,10)(7,13)(9,14)]); # Design 7633: autom. group order 2, simple, residual B[7633]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,11,14],[1,2,9,10,11,12,13],[1,3,5,9,12,13,14],[1,3,6,8,11,13,14],[1,4,6,7,9,12,13],[1,4,6,7,10,12,14],[1,4,7,8,11,13,14],[1,5,6,8,9,11,12],[1,5,7,8,9,10,14],[2,3,6,7,9,11,14],[2,3,7,8,12,13,14],[2,4,5,6,12,13,14],[2,4,5,8,11,12,14],[2,4,7,8,9,10,13],[2,5,6,9,10,13,14],[2,6,7,8,9,11,12],[3,4,5,7,9,11,13],[3,4,6,9,10,11,14],[3,4,8,9,10,12,14],[3,5,6,7,8,10,12],[3,5,7,10,11,12,13],[4,5,6,8,10,11,13]]; G[7633]:=Group([(2,7)(3,14)(4,10)(6,11)]); # Design 7634: autom. group order 2, simple, residual B[7634]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,11,14],[1,2,9,10,11,12,13],[1,3,5,9,12,13,14],[1,3,6,8,11,13,14],[1,4,6,7,9,12,13],[1,4,6,7,10,12,14],[1,4,7,8,11,13,14],[1,5,6,8,9,11,12],[1,5,7,8,9,10,14],[2,3,6,7,9,11,14],[2,3,7,8,12,13,14],[2,4,5,6,8,12,14],[2,4,5,11,12,13,14],[2,4,7,8,9,10,13],[2,5,6,9,10,13,14],[2,6,7,8,9,11,12],[3,4,5,7,9,11,13],[3,4,6,9,10,11,14],[3,4,8,9,10,12,14],[3,5,6,7,10,12,13],[3,5,7,8,10,11,12],[4,5,6,8,10,11,13]]; G[7634]:=Group([(2,7)(3,14)(4,10)(6,11)]); # Design 7635: autom. group order 2, simple B[7635]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,7,8,11,13,14],[1,3,5,7,9,12,14],[1,3,6,7,9,10,13],[1,4,6,7,8,11,12],[1,4,6,8,9,12,14],[1,4,7,8,10,13,14],[1,5,6,10,11,12,14],[1,5,9,10,11,12,13],[2,3,6,8,11,12,13],[2,3,7,9,11,12,14],[2,4,5,6,12,13,14],[2,4,5,7,10,12,13],[2,4,7,9,10,11,14],[2,5,6,8,9,10,14],[2,6,7,8,9,10,12],[3,4,5,8,10,11,14],[3,4,6,9,11,13,14],[3,4,8,9,10,12,13],[3,5,6,7,8,10,11],[3,5,7,8,12,13,14],[4,5,6,7,9,11,13]]; G[7635]:=Group([(2,11)(3,12)(4,10)(7,14)(8,13)]); # Design 7636: autom. group order 2, simple, residual B[7636]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,7,8,10,12,14],[1,3,5,7,12,13,14],[1,3,6,7,9,11,13],[1,4,6,7,11,12,14],[1,4,6,8,9,10,12],[1,4,7,8,9,11,13],[1,5,6,8,9,12,14],[1,5,9,10,11,13,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,11,12,13],[2,4,5,9,12,13,14],[2,4,7,9,10,11,14],[2,5,6,7,8,11,14],[2,6,7,9,10,12,13],[3,4,5,7,9,10,14],[3,4,6,8,10,13,14],[3,4,8,11,12,13,14],[3,5,6,9,10,11,12],[3,5,7,8,10,11,12],[4,5,6,7,8,10,13]]; G[7636]:=Group([(1,12)(2,11)(4,10)(6,8)]); # Design 7637: autom. group order 2, simple, residual B[7637]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,7,8,11,13,14],[1,3,5,7,9,12,14],[1,3,6,7,9,10,13],[1,4,6,7,8,11,12],[1,4,6,8,9,12,14],[1,4,7,8,10,13,14],[1,5,6,10,11,12,14],[1,5,9,10,11,12,13],[2,3,6,8,11,12,13],[2,3,8,9,10,12,14],[2,4,5,6,12,13,14],[2,4,5,7,10,12,13],[2,4,7,9,10,11,14],[2,5,6,7,9,11,14],[2,6,7,8,9,10,12],[3,4,5,8,10,11,14],[3,4,6,9,11,13,14],[3,4,7,9,11,12,13],[3,5,6,7,8,10,11],[3,5,7,8,12,13,14],[4,5,6,8,9,10,13]]; G[7637]:=Group([(2,11)(3,12)(4,10)(7,14)(8,13)]); # Design 7638: autom. group order 2, simple, residual B[7638]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,7,8,12,13,14],[1,3,5,7,9,12,14],[1,3,6,7,9,11,13],[1,4,6,7,8,11,12],[1,4,6,8,9,10,14],[1,4,7,8,10,13,14],[1,5,6,10,11,12,13],[1,5,9,10,11,12,14],[2,3,6,8,11,12,14],[2,3,8,9,10,12,13],[2,4,5,6,11,13,14],[2,4,5,7,10,12,13],[2,4,7,9,11,12,14],[2,5,6,7,9,10,14],[2,6,7,8,9,10,11],[3,4,5,8,10,11,14],[3,4,6,9,12,13,14],[3,4,7,9,10,11,13],[3,5,6,7,8,10,12],[3,5,7,8,11,13,14],[4,5,6,8,9,12,13]]; G[7638]:=Group([(2,12)(3,11)(4,10)(7,13)(8,14)]); # Design 7639: autom. group order 2, simple B[7639]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,9,10,13,14],[1,3,5,7,8,12,13],[1,3,6,7,9,12,14],[1,4,6,7,11,12,13],[1,4,6,8,9,10,11],[1,4,8,9,10,12,13],[1,5,6,8,11,12,14],[1,5,7,9,10,11,14],[2,3,6,7,8,10,11],[2,3,8,9,11,12,14],[2,4,5,6,9,12,14],[2,4,5,7,9,11,13],[2,4,7,8,10,12,14],[2,5,6,10,11,12,13],[2,6,7,8,9,12,13],[3,4,5,10,12,13,14],[3,4,6,9,11,13,14],[3,4,7,8,11,13,14],[3,5,6,8,9,10,13],[3,5,7,9,10,11,12],[4,5,6,7,8,10,14]]; G[7639]:=Group([(1,14)(2,13)(5,11)(7,9)]); # Design 7640: autom. group order 2, simple, residual B[7640]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,9,12,13,14],[1,3,5,7,8,12,13],[1,3,6,7,8,11,14],[1,4,6,7,9,10,14],[1,4,6,8,9,10,13],[1,4,8,9,11,12,14],[1,5,6,10,11,12,13],[1,5,7,9,10,11,12],[2,3,6,7,9,11,12],[2,3,8,9,10,12,14],[2,4,5,6,9,12,13],[2,4,5,7,10,11,14],[2,4,7,8,10,11,13],[2,5,6,8,10,12,14],[2,6,7,8,9,11,13],[3,4,5,9,11,13,14],[3,4,6,11,12,13,14],[3,4,7,8,10,12,13],[3,5,6,8,9,10,11],[3,5,7,9,10,13,14],[4,5,6,7,8,12,14]]; G[7640]:=Group([(2,11)(3,12)(4,10)(6,9)(8,13)]); # Design 7641: autom. group order 2, simple B[7641]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,13,14],[1,2,7,11,12,13,14],[1,3,5,7,10,11,13],[1,3,6,7,9,10,12],[1,4,6,7,9,12,14],[1,4,6,8,11,12,13],[1,4,8,9,10,11,14],[1,5,6,8,10,12,13],[1,5,7,8,9,11,14],[2,3,6,7,8,11,14],[2,3,8,9,10,11,12],[2,4,5,6,9,11,13],[2,4,5,7,10,12,14],[2,4,7,8,9,12,13],[2,5,6,8,10,12,14],[2,6,7,9,10,11,13],[3,4,5,11,12,13,14],[3,4,6,9,10,13,14],[3,4,7,8,10,13,14],[3,5,6,9,11,12,14],[3,5,7,8,9,12,13],[4,5,6,7,8,10,11]]; G[7641]:=Group([(1,13)(2,14)(5,10)(6,8)]); # Design 7642: autom. group order 2, simple, residual B[7642]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,13,14],[1,2,7,9,10,13,14],[1,3,5,7,11,12,13],[1,3,6,7,9,10,11],[1,4,6,7,10,12,14],[1,4,6,8,9,10,13],[1,4,8,9,11,12,14],[1,5,6,8,11,12,13],[1,5,7,8,9,12,14],[2,3,6,7,8,12,14],[2,3,8,9,10,11,12],[2,4,5,6,9,12,13],[2,4,5,7,9,11,14],[2,4,7,8,10,12,13],[2,5,6,8,10,11,14],[2,6,7,9,11,12,13],[3,4,5,10,12,13,14],[3,4,6,9,11,13,14],[3,4,7,8,11,13,14],[3,5,6,9,10,12,14],[3,5,7,8,9,10,13],[4,5,6,7,8,10,11]]; G[7642]:=Group([(1,13)(2,14)(5,11)(6,8)]); # Design 7643: autom. group order 2, simple, residual B[7643]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,10,11,13,14],[1,2,7,9,10,12,14],[1,3,5,7,11,12,14],[1,3,6,7,9,13,14],[1,4,6,7,8,11,12],[1,4,6,9,10,11,13],[1,4,8,9,12,13,14],[1,5,6,8,9,11,14],[1,5,7,8,10,12,13],[2,3,6,9,11,12,14],[2,3,7,8,9,12,13],[2,4,5,6,7,13,14],[2,4,5,9,11,12,13],[2,4,7,8,11,13,14],[2,5,6,8,10,12,14],[2,6,7,8,9,10,11],[3,4,5,8,9,10,14],[3,4,6,10,12,13,14],[3,4,7,8,10,11,14],[3,5,6,8,11,12,13],[3,5,7,9,10,11,13],[4,5,6,7,9,10,12]]; G[7643]:=Group([(1,11)(2,8)(3,7)(5,14)(6,10)(9,13)]); # Design 7644: autom. group order 2, simple B[7644]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,9,12,13,14],[1,3,5,7,8,12,13],[1,3,6,7,8,11,14],[1,4,6,7,9,10,14],[1,4,6,8,9,10,13],[1,4,8,9,11,12,14],[1,5,6,10,11,12,13],[1,5,7,9,10,11,12],[2,3,6,9,11,12,14],[2,3,7,8,9,10,12],[2,4,5,6,9,12,13],[2,4,5,7,10,11,14],[2,4,7,8,10,11,13],[2,5,6,8,10,12,14],[2,6,7,8,9,11,13],[3,4,5,9,11,13,14],[3,4,6,7,11,12,13],[3,4,8,10,12,13,14],[3,5,6,8,9,10,11],[3,5,7,9,10,13,14],[4,5,6,7,8,12,14]]; G[7644]:=Group([(2,11)(3,12)(4,10)(6,9)(8,13)]); # Design 7645: autom. group order 2, simple, residual B[7645]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,7,8,10,12,13],[1,3,5,7,11,13,14],[1,3,6,7,8,12,14],[1,4,6,7,9,10,13],[1,4,6,8,11,12,14],[1,4,9,11,12,13,14],[1,5,6,8,9,10,14],[1,5,7,9,10,11,12],[2,3,6,9,10,11,12],[2,3,7,8,9,11,14],[2,4,5,6,9,12,14],[2,4,5,7,12,13,14],[2,4,7,8,10,11,14],[2,5,6,10,11,13,14],[2,6,7,8,9,12,13],[3,4,5,8,10,12,13],[3,4,6,7,9,11,13],[3,4,8,9,10,13,14],[3,5,6,8,11,12,13],[3,5,7,9,10,12,14],[4,5,6,7,8,10,11]]; G[7645]:=Group([(2,12)(3,11)(5,14)(6,9)(7,13)]); # Design 7646: autom. group order 2, simple B[7646]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,8,9,10,13],[1,3,5,7,8,12,14],[1,3,6,7,9,12,13],[1,4,6,7,11,13,14],[1,4,6,8,9,10,14],[1,4,8,9,11,12,13],[1,5,6,10,11,12,14],[1,5,7,9,10,11,12],[2,3,6,9,11,12,13],[2,3,7,8,11,12,14],[2,4,5,6,9,12,14],[2,4,5,7,10,11,13],[2,4,7,9,10,12,14],[2,5,6,8,10,12,13],[2,6,7,8,9,11,14],[3,4,5,9,11,13,14],[3,4,6,7,8,10,11],[3,4,8,10,12,13,14],[3,5,6,8,9,10,11],[3,5,7,9,10,13,14],[4,5,6,7,8,12,13]]; G[7646]:=Group([(2,11)(3,12)(4,10)(6,9)(8,14)]); # Design 7647: autom. group order 2, simple, residual B[7647]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,11,12,13,14],[1,2,7,9,11,12,13],[1,3,5,7,10,13,14],[1,3,6,7,9,11,14],[1,4,6,8,9,12,14],[1,4,6,10,11,13,14],[1,4,7,8,9,10,11],[1,5,6,7,8,12,13],[1,5,8,9,10,12,14],[2,3,6,7,9,12,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,5,7,8,11,14],[2,4,7,9,10,12,13],[2,5,6,8,9,11,13],[2,6,7,8,10,11,14],[3,4,5,9,11,13,14],[3,4,6,8,11,12,13],[3,4,7,8,12,13,14],[3,5,6,9,10,11,12],[3,5,7,8,10,11,12],[4,5,6,7,9,10,13]]; G[7647]:=Group([(1,11)(2,12)(4,10)(7,9)]); # Design 7648: autom. group order 2, simple B[7648]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,13,14],[1,2,7,9,11,12,13],[1,3,5,7,9,11,14],[1,3,6,7,8,10,12],[1,4,6,8,9,11,13],[1,4,6,8,11,13,14],[1,4,7,9,10,12,13],[1,5,6,9,10,12,14],[1,5,7,8,11,12,14],[2,3,6,8,9,11,12],[2,3,7,8,9,13,14],[2,4,5,6,11,12,14],[2,4,5,7,10,11,13],[2,4,8,9,10,12,14],[2,5,6,7,8,12,13],[2,6,7,9,10,11,14],[3,4,5,9,12,13,14],[3,4,6,7,12,13,14],[3,4,7,8,10,11,14],[3,5,6,9,10,11,13],[3,5,8,10,11,12,13],[4,5,6,7,8,9,10]]; G[7648]:=Group([(1,13)(2,10)(3,5)(4,11)(6,8)(7,12)]); # Design 7649: autom. group order 2, simple B[7649]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,8,11,12,14],[1,3,5,7,11,13,14],[1,3,6,8,9,10,11],[1,4,6,7,9,11,14],[1,4,6,7,10,12,13],[1,4,8,9,10,13,14],[1,5,6,8,9,12,14],[1,5,7,9,10,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,10,13],[2,4,5,6,9,12,13],[2,4,5,9,10,11,14],[2,4,7,8,10,12,14],[2,5,6,10,11,13,14],[2,6,7,8,9,11,13],[3,4,5,7,8,13,14],[3,4,6,8,11,12,13],[3,4,9,11,12,13,14],[3,5,6,8,10,12,14],[3,5,7,9,10,11,12],[4,5,6,7,8,10,11]]; G[7649]:=Group([(1,11)(2,12)(5,13)(6,9)(7,14)]); # Design 7650: autom. group order 2, simple B[7650]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,10,13],[1,2,7,8,11,12,14],[1,3,5,7,11,13,14],[1,3,6,8,9,11,12],[1,4,6,7,8,10,14],[1,4,6,7,9,11,13],[1,4,8,9,12,13,14],[1,5,6,10,11,12,14],[1,5,7,9,10,12,13],[2,3,6,9,12,13,14],[2,3,7,8,10,11,13],[2,4,5,6,9,11,14],[2,4,5,7,12,13,14],[2,4,7,9,10,11,12],[2,5,6,8,11,12,13],[2,6,7,8,9,10,14],[3,4,5,8,10,12,14],[3,4,6,7,8,12,13],[3,4,9,10,11,13,14],[3,5,6,7,9,10,12],[3,5,7,8,9,11,14],[4,5,6,8,10,11,13]]; G[7650]:=Group([(1,9)(2,10)(3,7)(4,12)(8,13)]); # Design 7651: autom. group order 2, simple, residual B[7651]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,12,14],[1,2,7,8,11,12,14],[1,3,5,7,11,13,14],[1,3,6,9,12,13,14],[1,4,6,7,8,10,13],[1,4,6,7,9,11,14],[1,4,8,9,11,12,13],[1,5,6,9,10,12,14],[1,5,7,8,9,10,13],[2,3,6,8,9,12,13],[2,3,7,9,10,13,14],[2,4,5,6,8,13,14],[2,4,5,9,11,13,14],[2,4,7,10,12,13,14],[2,5,6,7,9,11,12],[2,6,7,8,9,10,11],[3,4,5,7,9,10,12],[3,4,6,7,8,12,14],[3,4,8,9,10,11,14],[3,5,6,8,10,11,14],[3,5,7,8,11,12,13],[4,5,6,10,11,12,13]]; G[7651]:=Group([(1,14)(3,13)(6,9)(7,11)]); # Design 7652: autom. group order 2, simple, residual B[7652]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,12,14],[1,2,7,8,11,12,14],[1,3,5,7,11,13,14],[1,3,6,9,12,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,11,14],[1,4,8,9,10,11,13],[1,5,6,9,10,12,14],[1,5,7,8,9,10,13],[2,3,6,8,9,12,13],[2,3,7,9,10,13,14],[2,4,5,6,8,13,14],[2,4,5,9,11,13,14],[2,4,7,10,12,13,14],[2,5,6,7,9,11,12],[2,6,7,8,9,10,11],[3,4,5,7,9,10,12],[3,4,6,7,8,10,14],[3,4,8,9,11,12,14],[3,5,6,8,10,11,14],[3,5,7,8,11,12,13],[4,5,6,10,11,12,13]]; G[7652]:=Group([(1,14)(3,13)(6,9)(7,11)]); # Design 7653: autom. group order 2, simple B[7653]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,9,10,13,14],[1,3,5,7,10,12,13],[1,3,6,8,9,12,14],[1,4,6,7,8,9,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,13],[1,5,6,7,8,10,11],[1,5,8,9,10,11,12],[2,3,6,7,9,11,12],[2,3,7,8,11,12,14],[2,4,5,6,9,11,13],[2,4,5,9,10,12,14],[2,4,7,8,10,11,14],[2,5,6,7,8,12,13],[2,6,8,9,10,12,13],[3,4,5,8,12,13,14],[3,4,6,8,10,11,13],[3,4,7,8,9,10,13],[3,5,6,9,10,11,14],[3,5,7,9,11,13,14],[4,5,6,7,10,12,14]]; G[7653]:=Group([(2,11)(3,12)(5,13)(6,9)(8,14)]); # Design 7654: autom. group order 2, simple, residual B[7654]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,9,10,13,14],[1,3,5,7,10,12,13],[1,3,6,8,9,12,14],[1,4,6,7,8,9,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,13],[1,5,6,7,8,10,11],[1,5,8,9,10,11,12],[2,3,6,7,9,11,12],[2,3,7,8,11,12,14],[2,4,5,6,8,12,13],[2,4,5,9,10,12,14],[2,4,7,8,10,11,14],[2,5,6,7,9,11,13],[2,6,8,9,10,12,13],[3,4,5,9,11,13,14],[3,4,6,8,10,11,13],[3,4,7,8,9,10,13],[3,5,6,9,10,11,14],[3,5,7,8,12,13,14],[4,5,6,7,10,12,14]]; G[7654]:=Group([(2,11)(3,12)(5,13)(6,9)(8,14)]); # Design 7655: autom. group order 2, simple B[7655]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,8,10,11,13],[1,3,5,7,10,12,14],[1,3,6,8,9,12,13],[1,4,6,7,8,9,13],[1,4,6,11,12,13,14],[1,4,7,9,11,12,14],[1,5,6,7,9,10,14],[1,5,8,9,10,11,12],[2,3,6,7,9,11,12],[2,3,7,8,9,11,14],[2,4,5,6,8,12,14],[2,4,5,9,10,12,13],[2,4,7,9,10,13,14],[2,5,6,7,11,12,13],[2,6,8,9,10,12,14],[3,4,5,9,11,13,14],[3,4,6,8,10,11,14],[3,4,7,8,10,12,13],[3,5,6,9,10,11,13],[3,5,7,8,12,13,14],[4,5,6,7,8,10,11]]; G[7655]:=Group([(2,11)(3,12)(5,14)(6,9)(8,13)]); # Design 7656: autom. group order 2, simple, residual B[7656]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,7,9,11,12,14],[1,3,5,7,9,12,14],[1,3,6,8,12,13,14],[1,4,6,7,10,11,14],[1,4,6,8,9,10,12],[1,4,7,8,9,11,13],[1,5,6,7,8,12,13],[1,5,9,10,11,13,14],[2,3,6,8,9,11,14],[2,3,7,8,9,10,13],[2,4,5,6,11,12,13],[2,4,5,9,12,13,14],[2,4,7,8,10,12,14],[2,5,6,7,8,11,14],[2,6,7,9,10,12,13],[3,4,5,7,10,13,14],[3,4,6,7,9,11,13],[3,4,8,11,12,13,14],[3,5,6,9,10,11,12],[3,5,7,8,10,11,12],[4,5,6,8,9,10,14]]; G[7656]:=Group([(1,12)(2,11)(4,10)(6,8)]); # Design 7657: autom. group order 2, simple, residual B[7657]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,8,9,10,13],[1,3,5,7,12,13,14],[1,3,6,8,9,12,14],[1,4,6,7,9,10,14],[1,4,6,8,11,12,13],[1,4,7,9,11,12,13],[1,5,6,7,8,10,11],[1,5,9,10,11,12,14],[2,3,6,9,10,11,12],[2,3,7,9,11,13,14],[2,4,5,6,9,11,13],[2,4,5,8,10,12,14],[2,4,7,8,9,12,14],[2,5,6,7,11,12,14],[2,6,7,8,10,12,13],[3,4,5,7,10,12,13],[3,4,6,7,8,11,14],[3,4,8,10,11,13,14],[3,5,6,8,9,12,13],[3,5,7,8,9,10,11],[4,5,6,9,10,13,14]]; G[7657]:=Group([(2,11)(3,12)(5,13)(6,9)]); # Design 7658: autom. group order 2, simple, residual B[7658]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,7,9,11,12,14],[1,3,5,7,9,12,14],[1,3,6,8,12,13,14],[1,4,6,7,8,10,12],[1,4,6,9,10,11,14],[1,4,7,8,9,11,13],[1,5,6,8,9,12,13],[1,5,7,10,11,13,14],[2,3,6,7,8,11,14],[2,3,7,8,9,10,13],[2,4,5,6,11,12,13],[2,4,5,7,12,13,14],[2,4,8,9,10,12,14],[2,5,6,8,9,11,14],[2,6,7,9,10,12,13],[3,4,5,9,10,13,14],[3,4,6,7,9,11,13],[3,4,8,11,12,13,14],[3,5,6,9,10,11,12],[3,5,7,8,10,11,12],[4,5,6,7,8,10,14]]; G[7658]:=Group([(1,12)(2,11)(4,10)(6,8)]); # Design 7659: autom. group order 2, simple, residual B[7659]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,11,12,13,14],[1,2,7,8,10,11,12],[1,3,5,7,9,11,13],[1,3,6,8,9,12,13],[1,4,6,7,8,11,13],[1,4,6,9,10,11,14],[1,4,7,9,10,13,14],[1,5,6,8,9,12,14],[1,5,7,8,10,12,14],[2,3,6,7,12,13,14],[2,3,7,8,9,10,14],[2,4,5,6,9,10,12],[2,4,5,8,11,13,14],[2,4,7,8,9,12,13],[2,5,6,7,9,11,14],[2,6,8,9,10,11,13],[3,4,5,8,10,13,14],[3,4,6,8,11,12,14],[3,4,7,9,11,12,14],[3,5,6,7,8,10,11],[3,5,9,10,11,12,13],[4,5,6,7,10,12,13]]; G[7659]:=Group([(1,12)(2,11)(5,14)(6,9)]); # Design 7660: autom. group order 2, simple, residual B[7660]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,10,11,12,13],[1,2,7,8,11,12,14],[1,3,5,7,9,11,14],[1,3,6,8,9,12,14],[1,4,6,7,8,10,11],[1,4,6,8,9,11,13],[1,4,7,9,10,13,14],[1,5,6,9,10,12,13],[1,5,7,8,12,13,14],[2,3,6,7,8,12,13],[2,3,7,8,9,10,13],[2,4,5,6,9,12,14],[2,4,5,8,11,13,14],[2,4,7,9,10,12,14],[2,5,6,7,9,11,13],[2,6,8,9,10,11,14],[3,4,5,8,10,13,14],[3,4,6,11,12,13,14],[3,4,7,9,11,12,13],[3,5,6,7,10,11,14],[3,5,8,9,10,11,12],[4,5,6,7,8,10,12]]; G[7660]:=Group([(1,12)(2,11)(5,13)(6,9)(8,14)]); # Design 7661: autom. group order 2, simple B[7661]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,10,11,12,13],[1,2,7,8,11,13,14],[1,3,5,7,8,11,14],[1,3,6,8,9,12,14],[1,4,6,7,9,10,11],[1,4,6,8,9,11,13],[1,4,7,9,10,12,14],[1,5,6,8,10,12,13],[1,5,7,9,12,13,14],[2,3,6,7,9,12,13],[2,3,7,8,9,10,13],[2,4,5,6,8,12,14],[2,4,5,9,11,13,14],[2,4,7,8,10,12,14],[2,5,6,7,9,11,12],[2,6,8,9,10,11,14],[3,4,5,9,10,13,14],[3,4,6,11,12,13,14],[3,4,7,8,11,12,13],[3,5,6,7,10,11,14],[3,5,8,9,10,11,12],[4,5,6,7,8,10,13]]; G[7661]:=Group([(1,12)(2,11)(5,13)(6,8)(9,14)]); # Design 7662: autom. group order 2, simple B[7662]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,7,8,12,13,14],[1,3,5,7,10,12,14],[1,3,6,8,10,11,13],[1,4,6,7,9,11,13],[1,4,6,8,11,12,14],[1,4,7,8,9,10,12],[1,5,6,9,12,13,14],[1,5,7,9,10,11,14],[2,3,6,7,9,12,13],[2,3,7,8,9,11,14],[2,4,5,6,9,10,14],[2,4,5,11,12,13,14],[2,4,7,8,10,13,14],[2,5,6,8,10,11,12],[2,6,7,9,10,11,12],[3,4,5,7,11,12,13],[3,4,6,8,9,12,14],[3,4,9,10,11,13,14],[3,5,6,7,8,11,14],[3,5,8,9,10,12,13],[4,5,6,7,8,10,13]]; G[7662]:=Group([(1,12)(3,11)(4,10)(5,6)(7,8)]); # Design 7663: autom. group order 2, simple B[7663]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,7,8,12,13,14],[1,3,5,7,10,12,14],[1,3,6,8,10,11,13],[1,4,6,7,9,11,14],[1,4,6,8,11,12,14],[1,4,7,8,9,10,12],[1,5,6,9,12,13,14],[1,5,7,9,10,11,13],[2,3,6,7,9,12,13],[2,3,7,8,9,11,14],[2,4,5,6,9,10,14],[2,4,5,11,12,13,14],[2,4,7,8,10,13,14],[2,5,6,8,10,11,12],[2,6,7,9,10,11,12],[3,4,5,7,11,12,13],[3,4,6,8,9,12,13],[3,4,9,10,11,13,14],[3,5,6,7,8,11,14],[3,5,8,9,10,12,14],[4,5,6,7,8,10,13]]; G[7663]:=Group([(1,12)(3,11)(4,10)(5,6)(7,8)]); # Design 7664: autom. group order 2, simple B[7664]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,7,8,9,12,14],[1,3,5,7,10,12,13],[1,3,6,8,10,11,14],[1,4,6,7,9,11,13],[1,4,6,8,11,12,13],[1,4,9,10,12,13,14],[1,5,6,7,8,12,14],[1,5,7,9,10,11,14],[2,3,6,7,9,12,13],[2,3,7,8,11,13,14],[2,4,5,6,9,10,14],[2,4,5,11,12,13,14],[2,4,7,8,10,13,14],[2,5,6,8,10,11,12],[2,6,7,9,10,11,12],[3,4,5,7,11,12,14],[3,4,6,8,9,12,14],[3,4,7,8,9,10,11],[3,5,6,9,11,13,14],[3,5,8,9,10,12,13],[4,5,6,7,8,10,13]]; G[7664]:=Group([(1,12)(3,11)(4,10)(5,6)(7,8)]); # Design 7665: autom. group order 2, simple B[7665]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,9,10,11,13],[1,3,5,7,9,12,14],[1,3,6,8,9,11,14],[1,4,6,8,10,12,13],[1,4,6,9,11,13,14],[1,4,7,9,10,12,14],[1,5,6,7,8,10,11],[1,5,7,8,12,13,14],[2,3,6,7,9,12,13],[2,3,7,8,11,13,14],[2,4,5,6,12,13,14],[2,4,5,7,10,11,14],[2,4,8,9,11,12,14],[2,5,6,8,9,10,14],[2,6,7,8,9,10,12],[3,4,5,8,9,10,13],[3,4,6,7,8,11,12],[3,4,7,8,10,13,14],[3,5,6,10,11,12,14],[3,5,9,10,11,12,13],[4,5,6,7,9,11,13]]; G[7665]:=Group([(1,12)(2,11)(4,10)(7,14)(8,13)]); # Design 7666: autom. group order 2, simple B[7666]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,8,9,12,13],[1,3,5,9,10,12,13],[1,3,6,7,8,10,11],[1,4,6,7,9,11,12],[1,4,6,8,11,13,14],[1,4,7,10,12,13,14],[1,5,6,8,9,12,14],[1,5,7,9,10,11,14],[2,3,6,7,8,12,14],[2,3,7,9,11,13,14],[2,4,5,6,9,10,14],[2,4,5,7,11,12,14],[2,4,7,8,9,10,13],[2,5,6,10,11,12,13],[2,6,8,9,10,11,12],[3,4,5,8,11,12,13],[3,4,6,9,12,13,14],[3,4,8,9,10,11,14],[3,5,6,7,9,11,13],[3,5,7,8,10,12,14],[4,5,6,7,8,10,13]]; G[7666]:=Group([(1,12)(3,11)(4,10)(5,6)(7,13)]); # Design 7667: autom. group order 2, simple, residual B[7667]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,7,8,10,12,14],[1,3,5,9,12,13,14],[1,3,6,7,9,11,13],[1,4,6,7,11,12,14],[1,4,6,8,9,10,12],[1,4,7,8,9,11,13],[1,5,6,8,12,13,14],[1,5,7,9,10,11,14],[2,3,6,7,8,11,14],[2,3,7,8,9,12,13],[2,4,5,6,11,12,13],[2,4,5,7,9,12,14],[2,4,9,10,11,13,14],[2,5,6,8,9,11,14],[2,6,7,9,10,12,13],[3,4,5,7,10,13,14],[3,4,6,8,9,10,14],[3,4,8,11,12,13,14],[3,5,6,9,10,11,12],[3,5,7,8,10,11,12],[4,5,6,7,8,10,13]]; G[7667]:=Group([(1,12)(2,11)(4,10)(6,8)]); # Design 7668: autom. group order 2, simple, residual B[7668]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,8,12,13,14],[1,3,5,9,10,12,13],[1,3,6,7,8,12,14],[1,4,6,7,9,11,13],[1,4,6,8,10,11,12],[1,4,7,8,9,10,13],[1,5,6,9,10,11,14],[1,5,7,9,11,12,14],[2,3,6,7,8,9,11],[2,3,7,9,10,11,14],[2,4,5,6,9,12,14],[2,4,5,7,11,12,13],[2,4,8,9,10,12,14],[2,5,6,8,10,11,13],[2,6,7,9,10,12,13],[3,4,5,7,10,13,14],[3,4,6,11,12,13,14],[3,4,8,9,11,13,14],[3,5,6,8,9,12,13],[3,5,7,8,10,11,12],[4,5,6,7,8,10,14]]; G[7668]:=Group([(1,14)(2,13)(5,11)(7,12)]); # Design 7669: autom. group order 2, simple, residual B[7669]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,11,12,13,14],[1,2,7,9,11,12,13],[1,3,5,9,10,13,14],[1,3,6,7,9,11,14],[1,4,6,7,8,12,14],[1,4,6,10,11,13,14],[1,4,7,8,9,10,11],[1,5,6,8,9,12,13],[1,5,7,8,10,12,14],[2,3,6,7,9,12,14],[2,3,7,8,10,13,14],[2,4,5,6,10,12,14],[2,4,5,8,9,11,14],[2,4,7,9,10,12,13],[2,5,6,7,8,11,13],[2,6,8,9,10,11,14],[3,4,5,7,11,13,14],[3,4,6,8,11,12,13],[3,4,8,9,12,13,14],[3,5,6,9,10,11,12],[3,5,7,8,10,11,12],[4,5,6,7,9,10,13]]; G[7669]:=Group([(1,11)(2,12)(4,10)(7,9)]); # Design 7670: autom. group order 2, simple, residual B[7670]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,7,11,12,13,14],[1,3,5,9,12,13,14],[1,3,6,7,8,12,14],[1,4,6,7,8,10,12],[1,4,6,9,10,11,14],[1,4,7,8,9,11,13],[1,5,6,8,9,12,13],[1,5,7,9,10,11,14],[2,3,6,8,9,11,14],[2,3,7,8,9,10,13],[2,4,5,6,11,12,13],[2,4,5,7,9,12,14],[2,4,8,9,10,12,14],[2,5,6,7,8,11,14],[2,6,7,9,10,12,13],[3,4,5,7,10,13,14],[3,4,6,7,9,11,13],[3,4,8,11,12,13,14],[3,5,6,9,10,11,12],[3,5,7,8,10,11,12],[4,5,6,8,10,13,14]]; G[7670]:=Group([(1,12)(2,11)(4,10)(6,8)]); # Design 7671: autom. group order 2, simple, residual B[7671]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,10,11,12,13],[1,2,7,8,11,13,14],[1,3,5,9,12,13,14],[1,3,6,7,8,12,14],[1,4,6,7,8,10,12],[1,4,6,9,10,11,14],[1,4,7,9,11,13,14],[1,5,6,8,9,12,13],[1,5,7,8,9,10,11],[2,3,6,8,9,11,14],[2,3,7,8,9,10,13],[2,4,5,6,8,11,13],[2,4,5,7,9,12,14],[2,4,8,9,10,12,14],[2,5,6,7,11,12,14],[2,6,7,9,10,12,13],[3,4,5,7,10,13,14],[3,4,6,9,11,12,13],[3,4,7,8,11,12,13],[3,5,6,7,9,10,11],[3,5,8,10,11,12,14],[4,5,6,8,10,13,14]]; G[7671]:=Group([(1,12)(2,11)(5,13)(6,8)]); # Design 7672: autom. group order 2, simple B[7672]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,9,12,13,14],[1,3,5,8,10,12,13],[1,3,6,7,9,10,11],[1,4,6,7,8,11,12],[1,4,6,9,11,13,14],[1,4,8,9,10,12,14],[1,5,6,7,9,12,13],[1,5,7,8,10,11,14],[2,3,6,7,8,12,14],[2,3,7,8,9,11,13],[2,4,5,6,9,10,14],[2,4,5,7,11,12,14],[2,4,7,8,9,10,13],[2,5,6,10,11,12,13],[2,6,8,9,10,11,12],[3,4,5,9,11,12,13],[3,4,6,8,12,13,14],[3,4,7,10,11,13,14],[3,5,6,8,9,11,14],[3,5,7,9,10,12,14],[4,5,6,7,8,10,13]]; G[7672]:=Group([(1,12)(3,11)(4,10)(5,6)(7,13)]); # Design 7673: autom. group order 2, simple B[7673]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,9,12,13,14],[1,3,5,8,10,12,13],[1,3,6,7,9,10,11],[1,4,6,7,8,11,12],[1,4,6,8,11,13,14],[1,4,8,9,10,12,14],[1,5,6,7,9,12,13],[1,5,7,9,10,11,14],[2,3,6,7,8,12,14],[2,3,7,8,9,11,13],[2,4,5,6,9,10,14],[2,4,5,7,11,12,14],[2,4,7,8,9,10,13],[2,5,6,10,11,12,13],[2,6,8,9,10,11,12],[3,4,5,9,11,12,13],[3,4,6,9,12,13,14],[3,4,7,10,11,13,14],[3,5,6,8,9,11,14],[3,5,7,8,10,12,14],[4,5,6,7,8,10,13]]; G[7673]:=Group([(1,12)(3,11)(4,10)(5,6)(7,13)]); # Design 7674: autom. group order 2, simple, residual B[7674]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,11,12,13,14],[1,2,7,8,10,11,12],[1,3,5,8,9,11,13],[1,3,6,7,9,12,13],[1,4,6,7,8,11,13],[1,4,6,9,10,11,14],[1,4,8,9,10,13,14],[1,5,6,7,9,12,14],[1,5,7,8,10,12,14],[2,3,6,8,12,13,14],[2,3,7,8,9,10,14],[2,4,5,6,9,10,12],[2,4,5,7,11,13,14],[2,4,7,8,9,12,13],[2,5,6,8,9,11,14],[2,6,7,9,10,11,13],[3,4,5,7,10,13,14],[3,4,6,8,11,12,14],[3,4,7,9,11,12,14],[3,5,6,7,8,10,11],[3,5,9,10,11,12,13],[4,5,6,8,10,12,13]]; G[7674]:=Group([(1,12)(2,11)(5,14)(6,9)]); # Design 7675: autom. group order 2, simple, residual B[7675]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,10,11,12,14],[1,3,5,8,11,13,14],[1,3,6,7,9,11,14],[1,4,6,7,8,12,14],[1,4,6,9,10,12,13],[1,4,8,9,10,13,14],[1,5,6,7,9,11,13],[1,5,7,8,9,10,12],[2,3,6,8,9,12,14],[2,3,7,8,9,10,13],[2,4,5,6,9,10,11],[2,4,5,7,12,13,14],[2,4,7,8,9,11,14],[2,5,6,9,12,13,14],[2,6,7,8,10,11,13],[3,4,5,7,10,13,14],[3,4,6,8,11,12,13],[3,4,7,9,11,12,13],[3,5,6,7,8,10,12],[3,5,9,10,11,12,14],[4,5,6,8,10,11,14]]; G[7675]:=Group([(1,11)(2,12)(5,13)(6,9)]); # Design 7676: autom. group order 2, simple, residual B[7676]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,9,10,11,13],[1,3,5,8,11,13,14],[1,3,6,7,9,11,14],[1,4,6,8,10,12,14],[1,4,6,9,12,13,14],[1,4,7,8,9,10,13],[1,5,6,7,10,11,12],[1,5,7,8,9,12,14],[2,3,6,7,8,9,12],[2,3,7,8,10,12,14],[2,4,5,6,9,11,14],[2,4,5,7,12,13,14],[2,4,8,9,10,11,14],[2,5,6,9,10,12,13],[2,6,7,8,11,13,14],[3,4,5,7,10,13,14],[3,4,6,8,11,12,13],[3,4,7,9,11,12,13],[3,5,6,8,9,10,13],[3,5,9,10,11,12,14],[4,5,6,7,8,10,11]]; G[7676]:=Group([(1,11)(2,12)(5,13)(6,9)]); # Design 7677: autom. group order 2, simple, residual B[7677]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,8,9,10,12,14],[1,3,5,7,12,13,14],[1,3,6,7,9,11,13],[1,4,6,7,8,10,12],[1,4,6,9,11,12,14],[1,4,7,8,9,11,13],[1,5,6,8,12,13,14],[1,5,7,9,10,11,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,11,12,13],[2,4,5,7,9,12,14],[2,4,7,10,11,13,14],[2,5,6,7,8,11,14],[2,6,7,9,10,12,13],[3,4,5,9,10,13,14],[3,4,6,7,8,10,14],[3,4,8,11,12,13,14],[3,5,6,9,10,11,12],[3,5,7,8,10,11,12],[4,5,6,8,9,10,13]]; G[7677]:=Group([(1,12)(2,11)(4,10)(6,8)]); # Design 7678: autom. group order 2, simple B[7678]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,8,9,10,11,14],[1,3,5,7,9,12,14],[1,3,6,7,9,11,13],[1,4,6,8,10,12,13],[1,4,6,9,11,13,14],[1,4,7,9,10,12,14],[1,5,6,7,8,10,11],[1,5,7,8,12,13,14],[2,3,6,8,9,12,14],[2,3,7,8,11,13,14],[2,4,5,6,12,13,14],[2,4,5,7,10,11,14],[2,4,7,9,11,12,13],[2,5,6,7,9,10,13],[2,6,7,8,9,10,12],[3,4,5,8,9,10,13],[3,4,6,7,8,11,12],[3,4,7,8,10,13,14],[3,5,6,10,11,12,14],[3,5,9,10,11,12,13],[4,5,6,8,9,11,14]]; G[7678]:=Group([(1,12)(2,11)(4,10)(7,14)(8,13)]); # Design 7679: autom. group order 2, simple, residual B[7679]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,12,14],[1,2,8,9,11,12,13],[1,3,5,7,11,13,14],[1,3,6,9,12,13,14],[1,4,6,7,8,10,13],[1,4,6,7,9,11,14],[1,4,7,8,11,12,14],[1,5,6,9,10,12,14],[1,5,7,8,9,10,13],[2,3,6,7,8,12,14],[2,3,7,9,10,13,14],[2,4,5,6,8,13,14],[2,4,5,9,11,13,14],[2,4,7,10,12,13,14],[2,5,6,7,9,11,12],[2,6,7,8,9,10,11],[3,4,5,7,9,10,12],[3,4,6,8,9,12,13],[3,4,8,9,10,11,14],[3,5,6,8,10,11,14],[3,5,7,8,11,12,13],[4,5,6,10,11,12,13]]; G[7679]:=Group([(1,14)(3,13)(6,9)(7,11)]); # Design 7680: autom. group order 2, simple, residual B[7680]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,12,14],[1,2,8,9,11,12,13],[1,3,5,7,11,13,14],[1,3,6,9,12,13,14],[1,4,6,7,8,12,13],[1,4,6,7,9,11,14],[1,4,7,8,10,11,14],[1,5,6,9,10,12,14],[1,5,7,8,9,10,13],[2,3,6,7,8,12,14],[2,3,7,9,10,13,14],[2,4,5,6,8,13,14],[2,4,5,9,11,13,14],[2,4,7,10,12,13,14],[2,5,6,7,9,11,12],[2,6,7,8,9,10,11],[3,4,5,7,9,10,12],[3,4,6,8,9,10,13],[3,4,8,9,11,12,14],[3,5,6,8,10,11,14],[3,5,7,8,11,12,13],[4,5,6,10,11,12,13]]; G[7680]:=Group([(1,14)(3,13)(6,9)(7,11)]); # Design 7681: autom. group order 2, simple, residual B[7681]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,9,11,12,13,14],[1,3,5,7,12,13,14],[1,3,6,8,9,12,14],[1,4,6,7,10,11,14],[1,4,6,8,9,10,12],[1,4,7,8,9,11,13],[1,5,6,7,8,12,13],[1,5,7,9,10,11,14],[2,3,6,7,8,11,14],[2,3,7,8,9,10,13],[2,4,5,6,11,12,13],[2,4,5,7,9,12,14],[2,4,7,8,10,12,14],[2,5,6,8,9,11,14],[2,6,7,9,10,12,13],[3,4,5,9,10,13,14],[3,4,6,7,9,11,13],[3,4,8,11,12,13,14],[3,5,6,9,10,11,12],[3,5,7,8,10,11,12],[4,5,6,8,10,13,14]]; G[7681]:=Group([(1,12)(2,11)(4,10)(6,8)]); # Design 7682: autom. group order 2, simple B[7682]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,10,11,12,13],[1,2,8,9,11,13,14],[1,3,5,7,8,11,14],[1,3,6,8,9,12,14],[1,4,6,7,10,11,14],[1,4,6,8,9,10,12],[1,4,7,9,11,13,14],[1,5,6,7,8,12,13],[1,5,7,9,10,12,13],[2,3,6,7,12,13,14],[2,3,7,8,9,10,13],[2,4,5,6,8,11,13],[2,4,5,7,9,12,14],[2,4,7,8,10,12,14],[2,5,6,9,11,12,14],[2,6,7,8,9,10,11],[3,4,5,9,10,13,14],[3,4,6,9,11,12,13],[3,4,7,8,11,12,13],[3,5,6,7,9,10,11],[3,5,8,10,11,12,14],[4,5,6,8,10,13,14]]; G[7682]:=Group([(1,12)(2,11)(5,13)(6,8)]); # Design 7683: autom. group order 2, simple, residual B[7683]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,8,9,10,12,14],[1,3,5,9,12,13,14],[1,3,6,7,9,11,13],[1,4,6,7,8,10,12],[1,4,6,9,11,12,14],[1,4,7,8,9,11,13],[1,5,6,7,8,12,14],[1,5,7,10,11,13,14],[2,3,6,7,8,11,14],[2,3,7,8,9,12,13],[2,4,5,6,11,12,13],[2,4,5,7,12,13,14],[2,4,7,9,10,11,14],[2,5,6,8,9,11,14],[2,6,7,9,10,12,13],[3,4,5,7,9,10,14],[3,4,6,8,10,13,14],[3,4,8,11,12,13,14],[3,5,6,9,10,11,12],[3,5,7,8,10,11,12],[4,5,6,8,9,10,13]]; G[7683]:=Group([(1,12)(2,11)(4,10)(6,8)]); # Design 7684: autom. group order 2, simple B[7684]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,7,8,9,10,13],[1,3,5,7,8,12,14],[1,3,6,8,9,12,13],[1,4,6,7,9,10,14],[1,4,6,8,11,13,14],[1,4,7,9,11,12,13],[1,5,6,8,10,11,12],[1,5,9,10,11,12,14],[2,3,6,9,11,12,13],[2,3,7,8,11,12,14],[2,4,5,8,10,11,13],[2,4,5,9,12,13,14],[2,4,6,8,10,12,14],[2,5,6,7,9,10,12],[2,6,7,8,9,11,14],[3,4,5,6,9,11,14],[3,4,7,8,9,10,11],[3,4,7,10,12,13,14],[3,5,6,7,10,11,13],[3,5,8,9,10,13,14],[4,5,6,7,8,12,13]]; G[7684]:=Group([(2,11)(3,12)(4,10)(6,9)(7,14)]); # Design 7685: autom. group order 2, simple, residual B[7685]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,7,8,9,10,13],[1,3,5,7,8,12,14],[1,3,6,9,12,13,14],[1,4,6,7,8,11,13],[1,4,6,8,9,10,14],[1,4,9,11,12,13,14],[1,5,6,8,10,11,12],[1,5,7,9,10,11,12],[2,3,6,8,9,11,12],[2,3,7,9,10,11,14],[2,4,5,8,12,13,14],[2,4,5,9,10,12,13],[2,4,6,7,11,12,14],[2,5,6,8,9,11,14],[2,6,7,8,10,12,13],[3,4,5,6,10,11,13],[3,4,7,8,9,11,13],[3,4,7,8,10,12,14],[3,5,6,7,9,12,13],[3,5,8,10,11,13,14],[4,5,6,7,9,10,14]]; G[7685]:=Group([(2,11)(3,12)(4,10)(6,9)]); # Design 7686: autom. group order 2, simple, residual B[7686]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,7,8,12,13,14],[1,3,5,8,9,10,13],[1,3,6,7,9,11,12],[1,4,6,7,9,10,14],[1,4,6,8,11,12,13],[1,4,7,8,9,12,14],[1,5,6,8,10,11,14],[1,5,9,10,11,12,13],[2,3,6,8,9,11,14],[2,3,7,8,10,11,12],[2,4,5,7,9,11,13],[2,4,5,8,10,12,14],[2,4,6,9,10,12,13],[2,5,6,9,11,12,14],[2,6,7,8,9,10,13],[3,4,5,6,12,13,14],[3,4,7,10,11,13,14],[3,4,8,9,11,13,14],[3,5,6,7,8,12,13],[3,5,7,9,10,12,14],[4,5,6,7,8,10,11]]; G[7686]:=Group([(1,14)(2,13)(5,11)(6,10)]); # Design 7687: autom. group order 2, simple, residual B[7687]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,7,8,9,10,13],[1,3,5,8,12,13,14],[1,3,6,7,9,12,14],[1,4,6,7,8,11,13],[1,4,6,8,9,10,14],[1,4,9,11,12,13,14],[1,5,6,8,10,11,12],[1,5,7,9,10,11,12],[2,3,6,7,9,11,12],[2,3,8,9,10,11,14],[2,4,5,7,8,12,14],[2,4,5,9,10,12,13],[2,4,6,8,11,12,14],[2,5,6,9,11,13,14],[2,6,7,8,10,12,13],[3,4,5,6,10,11,13],[3,4,7,8,9,11,13],[3,4,7,10,12,13,14],[3,5,6,8,9,12,13],[3,5,7,8,10,11,14],[4,5,6,7,9,10,14]]; G[7687]:=Group([(2,11)(3,12)(4,10)(6,9)]); # Design 7688: autom. group order 2, simple, residual B[7688]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,7,8,9,10,13],[1,3,5,8,12,13,14],[1,3,6,7,9,12,14],[1,4,6,8,9,10,14],[1,4,6,8,11,12,13],[1,4,7,9,11,12,13],[1,5,6,7,8,10,11],[1,5,9,10,11,12,14],[2,3,6,7,9,11,12],[2,3,8,10,11,12,14],[2,4,5,7,8,12,14],[2,4,5,9,10,12,13],[2,4,6,8,9,11,14],[2,5,6,9,11,13,14],[2,6,7,8,10,12,13],[3,4,5,6,10,11,13],[3,4,7,8,11,13,14],[3,4,7,9,10,13,14],[3,5,6,8,9,12,13],[3,5,7,8,9,10,11],[4,5,6,7,10,12,14]]; G[7688]:=Group([(2,11)(3,12)(5,13)(6,9)]); # Design 7689: autom. group order 2, simple, residual B[7689]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,8,10,11,14],[1,3,5,8,12,13,14],[1,3,6,7,9,12,14],[1,4,6,8,9,10,14],[1,4,6,8,11,12,13],[1,4,7,9,11,12,13],[1,5,6,7,9,10,13],[1,5,9,10,11,12,14],[2,3,6,7,9,11,12],[2,3,8,9,10,12,13],[2,4,5,7,10,12,14],[2,4,5,9,12,13,14],[2,4,6,8,9,11,14],[2,5,6,9,10,11,13],[2,6,7,8,12,13,14],[3,4,5,6,11,13,14],[3,4,7,8,9,10,13],[3,4,7,10,11,13,14],[3,5,6,8,10,11,12],[3,5,7,8,9,11,14],[4,5,6,7,8,10,12]]; G[7689]:=Group([(2,11)(3,12)(5,13)(6,9)]); # Design 7690: autom. group order 2, simple B[7690]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,8,10,13,14],[1,3,5,9,11,13,14],[1,3,6,7,9,12,14],[1,4,6,8,9,10,13],[1,4,6,11,12,13,14],[1,4,7,8,11,12,14],[1,5,6,7,9,10,12],[1,5,8,9,10,11,12],[2,3,6,8,10,11,12],[2,3,7,9,11,12,13],[2,4,5,7,10,12,14],[2,4,5,9,12,13,14],[2,4,6,8,9,12,13],[2,5,6,9,10,11,14],[2,6,7,8,9,11,14],[3,4,5,6,8,11,14],[3,4,7,8,9,10,14],[3,4,7,9,10,11,13],[3,5,6,7,8,12,13],[3,5,8,10,12,13,14],[4,5,6,7,10,11,13]]; G[7690]:=Group([(2,12)(3,11)(5,14)(6,8)(9,13)]); # Design 7691: autom. group order 2, simple B[7691]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,9,11,13],[1,2,7,10,11,12,14],[1,3,5,9,12,13,14],[1,3,6,8,11,13,14],[1,4,6,7,9,10,14],[1,4,6,9,11,12,13],[1,4,7,8,10,12,13],[1,5,6,7,8,12,14],[1,5,8,9,10,11,14],[2,3,6,9,11,12,14],[2,3,7,8,9,10,14],[2,4,5,8,12,13,14],[2,4,5,10,11,13,14],[2,4,6,7,9,13,14],[2,5,6,7,8,11,12],[2,6,8,9,10,12,13],[3,4,5,6,10,12,14],[3,4,7,8,9,11,12],[3,4,7,8,11,13,14],[3,5,6,7,10,11,13],[3,5,7,9,10,12,13],[4,5,6,8,9,10,11]]; G[7691]:=Group([(1,14)(2,4)(3,13)(6,11)(7,10)(9,12)]); # Design 7692: autom. group order 2, simple B[7692]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,12,13],[1,2,7,9,10,11,14],[1,3,5,9,12,13,14],[1,3,6,8,11,13,14],[1,4,6,7,10,12,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,13],[1,5,6,7,8,12,14],[1,5,8,9,10,11,14],[2,3,6,9,11,12,14],[2,3,7,8,10,12,14],[2,4,5,8,12,13,14],[2,4,5,10,11,13,14],[2,4,6,7,9,13,14],[2,5,6,7,8,9,11],[2,6,8,9,10,12,13],[3,4,5,6,9,10,14],[3,4,7,8,9,11,12],[3,4,7,8,11,13,14],[3,5,6,7,10,11,13],[3,5,7,9,10,12,13],[4,5,6,8,10,11,12]]; G[7692]:=Group([(1,14)(2,4)(3,13)(6,11)(7,10)(9,12)]); # Design 7693: autom. group order 2, simple, residual B[7693]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,7,8,10,11,14],[1,3,5,8,9,10,13],[1,3,6,8,9,11,14],[1,4,6,8,12,13,14],[1,4,6,9,11,12,13],[1,4,7,8,10,12,14],[1,5,6,7,9,10,12],[1,5,7,9,11,13,14],[2,3,6,7,8,12,13],[2,3,7,9,12,13,14],[2,4,5,8,11,13,14],[2,4,5,9,10,12,14],[2,4,6,9,10,11,13],[2,5,6,8,9,12,14],[2,6,7,8,9,10,11],[3,4,5,6,7,11,14],[3,4,7,8,9,11,12],[3,4,7,9,10,13,14],[3,5,6,10,11,12,14],[3,5,8,10,11,12,13],[4,5,6,7,8,10,13]]; G[7693]:=Group([(1,11)(2,12)(4,10)(6,8)(7,13)(9,14)]); # Design 7694: autom. group order 2, simple B[7694]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,8,9,12,13,14],[1,3,5,8,10,12,13],[1,3,6,7,9,11,12],[1,4,6,7,8,11,13],[1,4,6,8,9,10,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,5,7,8,11,12,14],[2,3,6,8,11,12,14],[2,3,7,8,9,10,11],[2,4,5,7,8,10,14],[2,4,5,9,11,12,13],[2,4,6,7,9,12,14],[2,5,6,9,10,11,13],[2,6,7,8,10,12,13],[3,4,5,6,12,13,14],[3,4,7,10,11,13,14],[3,4,8,9,11,13,14],[3,5,6,7,8,9,13],[3,5,7,9,10,12,14],[4,5,6,8,10,11,12]]; G[7694]:=Group([(1,14)(2,13)(5,11)(6,10)]); # Design 7695: autom. group order 2, simple B[7695]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,8,9,12,13,14],[1,3,5,8,11,12,13],[1,3,6,7,9,11,12],[1,4,6,7,8,11,14],[1,4,6,8,9,10,13],[1,4,7,9,10,12,14],[1,5,6,9,10,11,13],[1,5,7,8,10,12,14],[2,3,6,8,10,12,14],[2,3,7,8,9,10,11],[2,4,5,7,8,10,13],[2,4,5,9,11,12,14],[2,4,6,7,9,12,13],[2,5,6,9,10,11,14],[2,6,7,8,11,12,13],[3,4,5,6,12,13,14],[3,4,7,10,11,13,14],[3,4,8,9,11,13,14],[3,5,6,7,8,9,14],[3,5,7,9,10,12,13],[4,5,6,8,10,11,12]]; G[7695]:=Group([(1,13)(2,14)(5,11)(6,10)]); # Design 7696: autom. group order 2, simple B[7696]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,7,8,10,12,13],[1,3,5,7,11,13,14],[1,3,6,7,8,12,14],[1,4,6,7,9,10,13],[1,4,6,8,11,12,14],[1,4,9,11,12,13,14],[1,5,6,8,9,10,14],[1,5,7,9,10,11,12],[2,3,6,9,10,11,12],[2,3,7,8,9,11,14],[2,4,5,7,12,13,14],[2,4,5,8,10,12,14],[2,4,6,7,9,11,14],[2,5,6,10,11,13,14],[2,6,7,8,9,12,13],[3,4,5,6,9,12,13],[3,4,7,8,10,11,13],[3,4,8,9,10,13,14],[3,5,6,8,11,12,13],[3,5,7,9,10,12,14],[4,5,6,7,8,10,11]]; G[7696]:=Group([(2,12)(3,11)(5,14)(6,9)(7,13)]); # Design 7697: autom. group order 2, simple B[7697]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,11,12,13,14],[1,2,7,8,9,13,14],[1,3,5,7,8,11,13],[1,3,6,7,9,11,12],[1,4,6,8,9,10,13],[1,4,6,8,11,12,14],[1,4,7,9,10,12,14],[1,5,6,9,10,11,13],[1,5,7,8,10,12,14],[2,3,6,7,8,10,14],[2,3,8,9,10,11,12],[2,4,5,7,9,11,14],[2,4,5,8,10,12,13],[2,4,6,7,9,12,13],[2,5,6,9,10,11,14],[2,6,7,8,11,12,13],[3,4,5,6,12,13,14],[3,4,7,10,11,13,14],[3,4,8,9,11,13,14],[3,5,6,8,9,12,14],[3,5,7,9,10,12,13],[4,5,6,7,8,10,11]]; G[7697]:=Group([(1,13)(2,14)(5,11)(6,10)]); # Design 7698: autom. group order 2, simple, residual B[7698]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,11,14],[1,2,7,9,11,12,13],[1,3,5,7,11,12,14],[1,3,6,9,12,13,14],[1,4,6,7,8,12,14],[1,4,6,7,9,10,13],[1,4,7,8,10,11,14],[1,5,6,8,11,13,14],[1,5,8,9,10,12,13],[2,3,6,8,9,11,14],[2,3,7,10,12,13,14],[2,4,5,7,9,13,14],[2,4,5,8,12,13,14],[2,4,6,10,11,13,14],[2,5,6,7,8,10,12],[2,6,7,8,9,11,12],[3,4,5,6,11,12,13],[3,4,7,8,9,11,13],[3,4,8,9,10,12,14],[3,5,6,7,9,10,14],[3,5,7,8,10,11,13],[4,5,6,9,10,11,12]]; G[7698]:=Group([(1,14)(3,13)(6,12)(7,8)]); # Design 7699: autom. group order 2, simple, residual B[7699]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,8,9,10,13],[1,3,5,7,8,12,14],[1,3,6,9,12,13,14],[1,4,6,7,8,11,13],[1,4,6,7,9,10,14],[1,4,9,11,12,13,14],[1,5,6,8,10,11,12],[1,5,7,9,10,11,12],[2,3,6,7,9,11,12],[2,3,8,9,10,11,14],[2,4,5,7,12,13,14],[2,4,5,9,10,12,13],[2,4,6,8,11,12,14],[2,5,6,7,9,11,14],[2,6,7,8,10,12,13],[3,4,5,6,10,11,13],[3,4,7,8,9,11,13],[3,4,7,8,10,12,14],[3,5,6,8,9,12,13],[3,5,7,10,11,13,14],[4,5,6,8,9,10,14]]; G[7699]:=Group([(2,11)(3,12)(4,10)(6,9)]); # Design 7700: autom. group order 2, simple, residual B[7700]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,8,9,10,13],[1,3,5,7,12,13,14],[1,3,6,8,9,12,14],[1,4,6,7,8,11,13],[1,4,6,7,9,10,14],[1,4,9,11,12,13,14],[1,5,6,8,10,11,12],[1,5,7,9,10,11,12],[2,3,6,8,9,11,12],[2,3,7,9,10,11,14],[2,4,5,7,8,12,14],[2,4,5,9,10,12,13],[2,4,6,7,11,12,14],[2,5,6,9,11,13,14],[2,6,7,8,10,12,13],[3,4,5,6,10,11,13],[3,4,7,8,9,11,13],[3,4,8,10,12,13,14],[3,5,6,7,9,12,13],[3,5,7,8,10,11,14],[4,5,6,8,9,10,14]]; G[7700]:=Group([(2,11)(3,12)(4,10)(6,9)]); # Design 7701: autom. group order 2, simple, residual B[7701]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,8,12,13,14],[1,3,5,9,10,12,13],[1,3,6,7,8,11,12],[1,4,6,7,8,10,14],[1,4,6,7,9,11,13],[1,4,8,9,10,12,13],[1,5,6,9,10,11,14],[1,5,7,9,11,12,14],[2,3,6,9,11,12,14],[2,3,7,8,9,10,11],[2,4,5,7,9,10,14],[2,4,5,7,11,12,13],[2,4,6,8,9,12,14],[2,5,6,8,10,11,13],[2,6,7,9,10,12,13],[3,4,5,6,12,13,14],[3,4,7,10,11,13,14],[3,4,8,9,11,13,14],[3,5,6,7,8,9,13],[3,5,7,8,10,12,14],[4,5,6,8,10,11,12]]; G[7701]:=Group([(1,14)(2,13)(5,11)(6,10)]); # Design 7702: autom. group order 2, simple, residual B[7702]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,8,12,13,14],[1,3,5,9,11,12,13],[1,3,6,7,8,11,12],[1,4,6,7,8,10,13],[1,4,6,7,9,11,14],[1,4,8,9,10,12,14],[1,5,6,9,10,11,13],[1,5,7,9,10,12,14],[2,3,6,9,10,12,14],[2,3,7,8,9,10,11],[2,4,5,7,9,10,13],[2,4,5,7,11,12,14],[2,4,6,8,9,12,13],[2,5,6,8,10,11,14],[2,6,7,9,11,12,13],[3,4,5,6,12,13,14],[3,4,7,10,11,13,14],[3,4,8,9,11,13,14],[3,5,6,7,8,9,14],[3,5,7,8,10,12,13],[4,5,6,8,10,11,12]]; G[7702]:=Group([(1,13)(2,14)(5,11)(6,10)]); # Design 7703: autom. group order 2, simple, residual B[7703]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,11,12,13,14],[1,2,7,8,11,13,14],[1,3,5,8,9,10,13],[1,3,6,7,9,11,12],[1,4,6,7,8,12,13],[1,4,6,9,10,11,14],[1,4,7,8,9,11,14],[1,5,6,8,10,12,14],[1,5,7,9,10,12,13],[2,3,6,8,9,12,14],[2,3,7,8,10,11,12],[2,4,5,7,8,10,14],[2,4,5,9,11,12,13],[2,4,6,7,9,10,13],[2,5,6,7,9,12,14],[2,6,8,9,10,11,13],[3,4,5,6,11,13,14],[3,4,7,10,12,13,14],[3,4,8,9,12,13,14],[3,5,6,7,8,11,13],[3,5,7,9,10,11,14],[4,5,6,8,10,11,12]]; G[7703]:=Group([(1,14)(2,13)(5,12)(6,10)]); # Design 7704: autom. group order 2, simple, residual B[7704]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,9,12,13,14],[1,3,5,9,10,12,13],[1,3,6,7,8,11,12],[1,4,6,7,9,11,13],[1,4,6,8,9,10,14],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,5,7,9,11,12,14],[2,3,6,9,11,12,14],[2,3,7,8,9,10,11],[2,4,5,7,9,10,14],[2,4,5,8,11,12,13],[2,4,6,7,8,12,14],[2,5,6,7,10,11,13],[2,6,8,9,10,12,13],[3,4,5,6,12,13,14],[3,4,7,10,11,13,14],[3,4,8,9,11,13,14],[3,5,6,7,8,9,13],[3,5,7,8,10,12,14],[4,5,6,9,10,11,12]]; G[7704]:=Group([(1,14)(2,13)(5,11)(6,10)]); # Design 7705: autom. group order 2, simple, residual B[7705]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,12],[1,2,7,9,10,13,14],[1,3,5,7,11,13,14],[1,3,6,9,11,12,13],[1,4,6,7,9,10,11],[1,4,6,8,9,12,13],[1,4,7,8,12,13,14],[1,5,6,8,10,12,14],[1,5,8,9,10,11,14],[2,3,7,8,9,12,14],[2,3,8,10,11,12,13],[2,4,5,6,12,13,14],[2,4,5,9,11,13,14],[2,4,6,8,10,11,14],[2,5,6,7,9,10,12],[2,6,7,8,9,11,13],[3,4,5,8,9,10,13],[3,4,6,7,8,11,14],[3,4,7,9,10,12,14],[3,5,6,7,8,10,13],[3,5,6,9,11,12,14],[4,5,7,10,11,12,13]]; G[7705]:=Group([(1,13)(2,10)(4,8)]); # Design 7706: autom. group order 2, simple, residual B[7706]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,12],[1,2,7,8,9,13,14],[1,3,5,7,11,13,14],[1,3,6,9,11,12,13],[1,4,6,7,9,10,11],[1,4,6,8,9,12,13],[1,4,7,10,12,13,14],[1,5,6,8,9,10,14],[1,5,8,10,11,12,14],[2,3,7,9,10,12,14],[2,3,8,9,10,11,13],[2,4,5,6,12,13,14],[2,4,5,9,11,13,14],[2,4,6,8,10,11,14],[2,5,6,7,9,10,12],[2,6,7,8,11,12,13],[3,4,5,8,10,12,13],[3,4,6,7,8,11,14],[3,4,7,8,9,12,14],[3,5,6,7,8,10,13],[3,5,6,9,11,12,14],[4,5,7,9,10,11,13]]; G[7706]:=Group([(1,13)(2,10)(4,8)(9,12)]); # Design 7707: autom. group order 2, simple, residual B[7707]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,12],[1,2,7,8,9,13,14],[1,3,5,7,11,13,14],[1,3,6,9,11,12,13],[1,4,6,7,9,10,11],[1,4,6,8,9,12,13],[1,4,7,10,12,13,14],[1,5,6,8,10,12,14],[1,5,8,9,10,11,14],[2,3,7,9,10,12,14],[2,3,8,9,10,11,13],[2,4,5,6,9,13,14],[2,4,5,11,12,13,14],[2,4,6,8,10,11,14],[2,5,6,7,9,10,12],[2,6,7,8,11,12,13],[3,4,5,8,10,12,13],[3,4,6,7,8,11,14],[3,4,7,8,9,12,14],[3,5,6,7,8,10,13],[3,5,6,9,11,12,14],[4,5,7,9,10,11,13]]; G[7707]:=Group([(1,13)(2,10)(4,8)(9,12)]); # Design 7708: autom. group order 2, simple, residual B[7708]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,13,14],[1,2,7,9,11,12,13],[1,3,5,9,10,11,14],[1,3,6,7,9,12,13],[1,4,6,7,8,11,12],[1,4,6,10,11,13,14],[1,4,7,8,9,10,14],[1,5,6,8,9,10,12],[1,5,8,11,12,13,14],[2,3,7,8,10,11,13],[2,3,8,9,11,12,14],[2,4,5,6,11,12,14],[2,4,5,9,10,12,13],[2,4,6,8,9,13,14],[2,5,6,7,8,10,11],[2,6,7,9,10,12,14],[3,4,5,7,12,13,14],[3,4,6,8,9,11,13],[3,4,7,8,10,12,14],[3,5,6,7,9,11,14],[3,5,6,8,10,12,13],[4,5,7,9,10,11,13]]; G[7708]:=Group([(1,9)(2,11)(4,14)(8,10)]); # Design 7709: autom. group order 2, simple, residual B[7709]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,13,14],[1,2,7,9,11,12,13],[1,3,5,9,10,11,14],[1,3,6,7,9,12,13],[1,4,6,7,8,11,12],[1,4,6,10,11,13,14],[1,4,7,8,9,10,14],[1,5,6,8,11,12,14],[1,5,8,9,10,12,13],[2,3,7,8,10,11,13],[2,3,8,9,11,12,14],[2,4,5,6,9,10,12],[2,4,5,11,12,13,14],[2,4,6,8,9,13,14],[2,5,6,7,8,10,11],[2,6,7,9,10,12,14],[3,4,5,7,12,13,14],[3,4,6,8,9,11,13],[3,4,7,8,10,12,14],[3,5,6,7,9,11,14],[3,5,6,8,10,12,13],[4,5,7,9,10,11,13]]; G[7709]:=Group([(1,9)(2,11)(4,14)(8,10)]); # Design 7710: autom. group order 2, simple, residual B[7710]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,7,9,11,12,13],[1,3,5,9,10,11,14],[1,3,6,7,9,12,13],[1,4,6,7,8,11,12],[1,4,6,10,11,13,14],[1,4,7,8,9,10,14],[1,5,6,8,9,10,12],[1,5,8,11,12,13,14],[2,3,7,8,10,11,13],[2,3,8,9,11,12,14],[2,4,5,6,11,12,14],[2,4,5,9,10,12,13],[2,4,6,8,9,13,14],[2,5,6,7,8,10,11],[2,6,7,9,10,12,14],[3,4,5,7,12,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,12,14],[3,5,6,7,9,11,14],[3,5,6,8,10,12,13],[4,5,7,8,9,11,13]]; G[7710]:=Group([(1,9)(2,11)(4,14)(8,10)]); # Design 7711: autom. group order 2, simple, residual B[7711]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,7,9,11,12,13],[1,3,5,9,10,11,14],[1,3,6,7,9,12,13],[1,4,6,7,8,11,12],[1,4,6,10,11,13,14],[1,4,7,8,9,10,14],[1,5,6,8,11,12,14],[1,5,8,9,10,12,13],[2,3,7,8,10,11,13],[2,3,8,9,11,12,14],[2,4,5,6,9,10,12],[2,4,5,11,12,13,14],[2,4,6,8,9,13,14],[2,5,6,7,8,10,11],[2,6,7,9,10,12,14],[3,4,5,7,12,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,12,14],[3,5,6,7,9,11,14],[3,5,6,8,10,12,13],[4,5,7,8,9,11,13]]; G[7711]:=Group([(1,9)(2,11)(4,14)(8,10)]); # Design 7712: autom. group order 2, simple, residual B[7712]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,8,10,13,14],[1,3,5,9,11,13,14],[1,3,6,7,9,12,14],[1,4,6,8,9,10,13],[1,4,6,11,12,13,14],[1,4,7,8,11,12,14],[1,5,6,7,9,10,12],[1,5,8,9,10,11,12],[2,3,7,9,11,12,13],[2,3,8,9,10,12,14],[2,4,5,6,9,11,14],[2,4,5,7,10,12,14],[2,4,6,8,9,12,13],[2,5,6,10,11,12,13],[2,6,7,8,9,11,14],[3,4,5,8,12,13,14],[3,4,6,7,8,10,11],[3,4,7,9,10,11,13],[3,5,6,7,8,12,13],[3,5,6,8,10,11,14],[4,5,7,9,10,13,14]]; G[7712]:=Group([(2,12)(3,11)(5,14)(6,8)(9,13)]); # Design 7713: autom. group order 2, simple B[7713]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,7,9,10,11,13],[1,3,5,9,11,12,14],[1,3,6,7,9,10,12],[1,4,6,8,9,10,14],[1,4,6,10,11,13,14],[1,4,7,8,11,12,14],[1,5,6,8,9,12,13],[1,5,7,8,11,12,13],[2,3,7,8,10,12,14],[2,3,8,9,11,13,14],[2,4,5,6,11,12,14],[2,4,5,9,10,12,13],[2,4,6,7,8,12,13],[2,5,6,7,9,11,14],[2,6,8,9,10,11,12],[3,4,5,8,10,11,13],[3,4,6,7,9,11,13],[3,4,7,9,12,13,14],[3,5,6,7,8,10,11],[3,5,6,10,12,13,14],[4,5,7,8,9,10,14]]; G[7713]:=Group([(1,8)(2,3)(4,14)(5,13)(6,9)(7,11)]); # Design 7714: autom. group order 2, simple, residual B[7714]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,12,13],[1,2,9,10,11,12,14],[1,3,5,9,11,13,14],[1,3,6,7,9,12,14],[1,4,6,7,8,11,14],[1,4,6,7,9,10,13],[1,4,8,10,12,13,14],[1,5,6,8,11,13,14],[1,5,7,8,9,10,12],[2,3,7,8,9,11,14],[2,3,7,8,10,13,14],[2,4,5,6,10,11,14],[2,4,5,7,12,13,14],[2,4,6,8,9,12,14],[2,5,6,8,9,12,13],[2,6,7,9,10,11,13],[3,4,5,9,10,13,14],[3,4,6,9,11,12,13],[3,4,7,8,11,12,13],[3,5,6,7,10,12,14],[3,5,6,8,10,11,12],[4,5,7,8,9,10,11]]; G[7714]:=Group([(1,11)(2,12)(5,13)(6,8)]); # Design 7715: autom. group order 2, simple, residual B[7715]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,13,14],[1,2,9,11,12,13,14],[1,3,5,9,10,11,13],[1,3,6,7,9,12,14],[1,4,6,7,9,10,12],[1,4,6,8,11,12,13],[1,4,7,8,10,11,14],[1,5,6,8,10,12,13],[1,5,7,8,9,11,14],[2,3,7,8,9,12,13],[2,3,7,8,10,11,12],[2,4,5,6,7,11,13],[2,4,5,9,10,12,14],[2,4,6,8,9,11,14],[2,5,6,8,10,12,14],[2,6,7,9,10,11,13],[3,4,5,11,12,13,14],[3,4,6,9,10,13,14],[3,4,7,8,10,13,14],[3,5,6,7,11,12,14],[3,5,6,8,9,10,11],[4,5,7,8,9,12,13]]; G[7715]:=Group([(1,13)(2,14)(5,10)(6,8)]); # Design 7716: autom. group order 2, simple, residual B[7716]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,12,13],[1,2,9,10,11,12,14],[1,3,5,9,11,13,14],[1,3,6,7,9,12,14],[1,4,6,7,9,10,13],[1,4,6,8,10,11,14],[1,4,7,8,12,13,14],[1,5,6,8,11,13,14],[1,5,7,8,9,10,12],[2,3,7,8,9,11,14],[2,3,7,8,10,13,14],[2,4,5,6,7,11,14],[2,4,5,10,12,13,14],[2,4,6,8,9,12,14],[2,5,6,8,9,12,13],[2,6,7,9,10,11,13],[3,4,5,9,10,13,14],[3,4,6,9,11,12,13],[3,4,7,8,11,12,13],[3,5,6,7,10,12,14],[3,5,6,8,10,11,12],[4,5,7,8,9,10,11]]; G[7716]:=Group([(1,11)(2,12)(5,13)(6,8)]); # Design 7717: autom. group order 2, simple, residual B[7717]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,13,14],[1,2,7,11,12,13,14],[1,3,5,7,10,11,13],[1,3,6,7,9,12,14],[1,4,6,7,9,10,12],[1,4,6,8,11,12,13],[1,4,8,9,10,11,14],[1,5,6,8,10,12,13],[1,5,7,8,9,11,14],[2,3,7,8,9,12,13],[2,3,8,9,10,11,12],[2,4,5,6,9,11,13],[2,4,5,7,10,12,14],[2,4,6,7,8,11,14],[2,5,6,8,10,12,14],[2,6,7,9,10,11,13],[3,4,5,11,12,13,14],[3,4,6,9,10,13,14],[3,4,7,8,10,13,14],[3,5,6,7,8,10,11],[3,5,6,9,11,12,14],[4,5,7,8,9,12,13]]; G[7717]:=Group([(1,13)(2,14)(5,10)(6,8)]); # Design 7718: autom. group order 2, simple, residual B[7718]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,12,13],[1,2,7,10,11,12,14],[1,3,5,7,11,13,14],[1,3,6,7,9,12,14],[1,4,6,7,9,10,13],[1,4,6,8,9,11,14],[1,4,8,10,12,13,14],[1,5,6,8,11,13,14],[1,5,7,8,9,10,12],[2,3,7,8,9,11,14],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,5,9,12,13,14],[2,4,6,7,8,12,14],[2,5,6,7,8,12,13],[2,6,7,9,10,11,13],[3,4,5,7,10,13,14],[3,4,6,9,11,12,13],[3,4,7,8,11,12,13],[3,5,6,8,10,11,12],[3,5,6,9,10,12,14],[4,5,7,8,9,10,11]]; G[7718]:=Group([(1,11)(2,12)(5,13)(6,8)]); # Design 7719: autom. group order 2, simple, residual B[7719]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,12,13],[1,2,7,10,11,12,14],[1,3,5,7,11,13,14],[1,3,6,7,9,12,14],[1,4,6,7,9,10,13],[1,4,6,8,10,11,14],[1,4,8,9,12,13,14],[1,5,6,8,11,13,14],[1,5,7,8,9,10,12],[2,3,7,8,9,11,14],[2,3,8,9,10,13,14],[2,4,5,6,9,11,14],[2,4,5,10,12,13,14],[2,4,6,7,8,12,14],[2,5,6,7,8,12,13],[2,6,7,9,10,11,13],[3,4,5,7,10,13,14],[3,4,6,9,11,12,13],[3,4,7,8,11,12,13],[3,5,6,8,10,11,12],[3,5,6,9,10,12,14],[4,5,7,8,9,10,11]]; G[7719]:=Group([(1,11)(2,12)(5,13)(6,8)]); # Design 7720: autom. group order 2, simple, residual B[7720]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,8,10,11,13],[1,3,5,7,10,12,14],[1,3,6,8,9,12,13],[1,4,6,7,8,9,13],[1,4,6,11,12,13,14],[1,4,7,9,11,12,14],[1,5,6,7,9,10,14],[1,5,8,9,10,11,12],[2,3,7,8,9,11,14],[2,3,7,9,12,13,14],[2,4,5,6,9,11,14],[2,4,5,9,10,12,13],[2,4,6,7,8,10,12],[2,5,6,7,11,12,13],[2,6,8,9,10,12,14],[3,4,5,8,12,13,14],[3,4,6,8,10,11,14],[3,4,7,9,10,11,13],[3,5,6,7,8,11,12],[3,5,6,9,10,11,13],[4,5,7,8,10,13,14]]; G[7720]:=Group([(2,11)(3,12)(5,14)(6,9)(8,13)]); # Design 7721: autom. group order 2, simple, residual B[7721]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,8,10,12,13],[1,3,5,7,10,11,14],[1,3,6,8,9,12,14],[1,4,6,7,8,9,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,13],[1,5,6,7,9,10,13],[1,5,8,9,10,11,12],[2,3,7,8,9,11,13],[2,3,7,9,12,13,14],[2,4,5,6,9,11,13],[2,4,5,9,10,12,14],[2,4,6,7,8,10,12],[2,5,6,7,11,12,14],[2,6,8,9,10,11,14],[3,4,5,8,12,13,14],[3,4,6,8,10,11,13],[3,4,7,9,10,11,14],[3,5,6,7,8,11,12],[3,5,6,9,10,12,13],[4,5,7,8,10,13,14]]; G[7721]:=Group([(2,11)(3,12)(5,13)(6,9)(8,14)]); # Design 7722: autom. group order 2, simple, residual B[7722]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,8,10,12,13],[1,3,5,7,10,11,14],[1,3,6,8,9,12,14],[1,4,6,7,8,9,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,13],[1,5,6,7,9,10,13],[1,5,8,9,10,11,12],[2,3,7,8,9,11,13],[2,3,7,9,12,13,14],[2,4,5,6,8,12,13],[2,4,5,9,10,12,14],[2,4,6,7,9,10,11],[2,5,6,7,11,12,14],[2,6,8,9,10,11,14],[3,4,5,9,11,13,14],[3,4,6,8,10,11,13],[3,4,7,8,10,12,14],[3,5,6,7,8,11,12],[3,5,6,9,10,12,13],[4,5,7,8,10,13,14]]; G[7722]:=Group([(2,11)(3,12)(5,13)(6,9)(8,14)]); # Design 7723: autom. group order 2, simple, residual B[7723]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,9,10,11,13],[1,3,5,7,8,12,14],[1,3,6,8,9,11,14],[1,4,6,7,9,12,13],[1,4,6,8,9,10,12],[1,4,7,8,10,13,14],[1,5,6,9,11,13,14],[1,5,7,10,11,12,14],[2,3,7,8,9,11,13],[2,3,7,9,10,12,14],[2,4,5,6,7,11,14],[2,4,5,9,12,13,14],[2,4,6,8,10,11,14],[2,5,6,8,10,12,13],[2,6,7,8,9,12,14],[3,4,5,9,10,13,14],[3,4,6,7,11,12,13],[3,4,8,11,12,13,14],[3,5,6,7,8,10,13],[3,5,6,9,10,11,12],[4,5,7,8,9,10,11]]; G[7723]:=Group([(1,11)(2,12)(5,13)(9,14)]); # Design 7724: autom. group order 2, simple, residual B[7724]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,10,11,13,14],[1,3,5,7,8,12,14],[1,3,6,8,9,11,14],[1,4,6,7,9,12,13],[1,4,6,8,10,12,14],[1,4,7,8,9,10,13],[1,5,6,9,11,13,14],[1,5,7,9,10,11,12],[2,3,7,8,9,11,13],[2,3,7,9,10,12,14],[2,4,5,6,7,11,14],[2,4,5,9,12,13,14],[2,4,6,8,9,10,11],[2,5,6,8,10,12,13],[2,6,7,8,9,12,14],[3,4,5,9,10,13,14],[3,4,6,7,11,12,13],[3,4,8,11,12,13,14],[3,5,6,7,8,10,13],[3,5,6,9,10,11,12],[4,5,7,8,10,11,14]]; G[7724]:=Group([(1,11)(2,12)(5,13)(9,14)]); # Design 7725: autom. group order 2, simple, residual B[7725]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,11,12,13,14],[1,2,7,8,10,11,13],[1,3,5,7,9,12,14],[1,3,6,8,9,11,14],[1,4,6,7,8,12,14],[1,4,6,9,10,12,13],[1,4,7,9,10,13,14],[1,5,6,8,9,11,13],[1,5,7,8,10,11,12],[2,3,7,8,9,10,12],[2,3,7,9,11,13,14],[2,4,5,6,9,10,11],[2,4,5,8,12,13,14],[2,4,6,7,8,11,14],[2,5,6,7,9,12,13],[2,6,8,9,10,12,14],[3,4,5,8,10,13,14],[3,4,6,7,11,12,13],[3,4,8,9,11,12,13],[3,5,6,7,8,10,13],[3,5,6,10,11,12,14],[4,5,7,9,10,11,14]]; G[7725]:=Group([(1,11)(2,12)(5,13)]); # Design 7726: autom. group order 2, simple, residual B[7726]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,8,9,13,14],[1,3,5,7,11,13,14],[1,3,6,9,11,12,14],[1,4,6,7,9,10,11],[1,4,6,8,9,12,14],[1,4,7,10,12,13,14],[1,5,6,8,9,10,13],[1,5,7,8,10,11,12],[2,3,7,9,10,12,13],[2,3,8,9,10,11,14],[2,4,5,6,12,13,14],[2,4,5,7,9,11,14],[2,4,6,8,10,11,13],[2,5,6,7,9,10,12],[2,6,7,8,11,12,14],[3,4,5,8,10,12,14],[3,4,6,7,8,11,13],[3,4,7,8,9,12,13],[3,5,6,7,8,10,14],[3,5,6,9,11,12,13],[4,5,9,10,11,13,14]]; G[7726]:=Group([(1,14)(2,10)(4,8)(9,12)]); # Design 7727: autom. group order 2, simple, residual B[7727]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,8,9,13,14],[1,3,5,7,11,13,14],[1,3,6,9,11,12,14],[1,4,6,7,9,10,11],[1,4,6,8,9,12,14],[1,4,7,10,12,13,14],[1,5,6,8,10,12,13],[1,5,7,8,9,10,11],[2,3,7,9,10,12,13],[2,3,8,9,10,11,14],[2,4,5,6,9,13,14],[2,4,5,7,11,12,14],[2,4,6,8,10,11,13],[2,5,6,7,9,10,12],[2,6,7,8,11,12,14],[3,4,5,8,10,12,14],[3,4,6,7,8,11,13],[3,4,7,8,9,12,13],[3,5,6,7,8,10,14],[3,5,6,9,11,12,13],[4,5,9,10,11,13,14]]; G[7727]:=Group([(1,14)(2,10)(4,8)(9,12)]); # Design 7728: autom. group order 2, simple, residual B[7728]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,7,8,10,13,14],[1,3,5,7,11,13,14],[1,3,6,8,11,12,14],[1,4,6,7,8,10,11],[1,4,6,8,9,12,14],[1,4,7,9,12,13,14],[1,5,6,9,10,12,13],[1,5,7,9,10,11,12],[2,3,7,8,9,12,13],[2,3,9,10,11,12,14],[2,4,5,6,12,13,14],[2,4,5,7,11,12,14],[2,4,6,9,10,11,13],[2,5,6,7,8,10,12],[2,6,7,8,9,11,14],[3,4,5,8,9,10,14],[3,4,6,7,9,11,13],[3,4,7,8,10,12,13],[3,5,6,7,9,10,14],[3,5,6,8,11,12,13],[4,5,8,10,11,13,14]]; G[7728]:=Group([(1,14)(2,10)(4,9)]); # Design 7729: autom. group order 2, simple B[7729]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,9,10,12,13],[1,3,5,8,12,13,14],[1,3,6,7,8,10,11],[1,4,6,7,8,9,13],[1,4,6,11,12,13,14],[1,4,7,9,11,12,14],[1,5,6,7,9,10,14],[1,5,8,9,10,11,12],[2,3,7,8,9,12,14],[2,3,7,9,11,13,14],[2,4,5,6,9,11,14],[2,4,5,7,10,12,13],[2,4,6,8,10,12,14],[2,5,6,7,8,11,12],[2,6,8,9,10,11,13],[3,4,5,9,10,11,13],[3,4,6,8,9,12,13],[3,4,7,8,10,11,14],[3,5,6,7,11,12,13],[3,5,6,9,10,12,14],[4,5,7,8,10,13,14]]; G[7729]:=Group([(2,11)(3,12)(5,14)(6,9)(8,13)]); # Design 7730: autom. group order 2, simple, residual B[7730]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,9,11,12,13],[1,3,5,9,10,12,14],[1,3,6,7,9,11,13],[1,4,6,7,8,11,12],[1,4,6,10,12,13,14],[1,4,7,8,9,10,14],[1,5,6,8,9,10,11],[1,5,7,8,12,13,14],[2,3,7,8,10,12,13],[2,3,8,9,11,12,14],[2,4,5,6,11,12,14],[2,4,5,7,9,10,13],[2,4,6,8,9,13,14],[2,5,6,7,8,10,12],[2,6,7,9,10,11,14],[3,4,5,7,11,13,14],[3,4,6,8,9,12,13],[3,4,7,8,10,11,14],[3,5,6,7,9,12,14],[3,5,6,8,10,11,13],[4,5,9,10,11,12,13]]; G[7730]:=Group([(1,9)(2,12)(4,14)(8,10)]); # Design 7731: autom. group order 2, simple, residual B[7731]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,13,14],[1,2,7,9,10,12,13],[1,3,5,9,11,12,14],[1,3,6,7,9,10,13],[1,4,6,7,8,10,12],[1,4,6,11,12,13,14],[1,4,7,8,9,11,14],[1,5,6,8,9,10,11],[1,5,7,8,12,13,14],[2,3,7,8,11,12,13],[2,3,8,9,10,12,14],[2,4,5,6,10,12,14],[2,4,5,7,9,11,13],[2,4,6,8,9,13,14],[2,5,6,7,8,11,12],[2,6,7,9,10,11,14],[3,4,5,7,10,13,14],[3,4,6,9,11,12,13],[3,4,7,8,10,11,14],[3,5,6,7,9,12,14],[3,5,6,8,10,11,13],[4,5,8,9,10,12,13]]; G[7731]:=Group([(1,9)(2,12)(4,14)(8,11)]); # Design 7732: autom. group order 2, simple, residual B[7732]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,7,9,12,13,14],[1,3,5,11,12,13,14],[1,3,6,7,9,12,14],[1,4,6,7,8,11,12],[1,4,7,8,9,10,13],[1,4,9,10,11,13,14],[1,5,6,8,9,11,13],[1,5,6,8,10,12,14],[2,3,6,8,10,13,14],[2,3,7,8,9,11,14],[2,4,5,6,9,12,13],[2,4,5,7,11,13,14],[2,4,6,8,12,13,14],[2,5,8,9,10,11,12],[2,6,7,9,10,11,12],[3,4,5,9,10,12,14],[3,4,6,8,9,11,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,13],[3,5,7,8,11,12,13],[4,5,6,7,10,11,14]]; G[7732]:=Group([(1,11)(3,10)(4,12)(5,9)]); # Design 7733: autom. group order 2, simple, residual B[7733]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,7,9,12,13,14],[1,3,5,11,12,13,14],[1,3,6,8,9,12,14],[1,4,6,7,8,11,12],[1,4,7,8,9,10,13],[1,4,9,10,11,13,14],[1,5,6,7,10,12,14],[1,5,6,8,9,11,13],[2,3,6,8,10,13,14],[2,3,7,8,9,11,14],[2,4,5,6,9,12,13],[2,4,5,7,11,13,14],[2,4,6,8,12,13,14],[2,5,8,9,10,11,12],[2,6,7,9,10,11,12],[3,4,5,9,10,12,14],[3,4,6,7,9,11,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,13],[3,5,7,8,11,12,13],[4,5,6,8,10,11,14]]; G[7733]:=Group([(1,11)(3,10)(4,12)(5,9)]); # Design 7734: autom. group order 2, simple, residual B[7734]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,7,8,9,12,13],[1,3,5,8,12,13,14],[1,3,6,8,9,10,14],[1,4,6,8,11,12,14],[1,4,7,8,9,10,13],[1,4,7,9,11,12,14],[1,5,6,7,9,10,11],[1,5,6,10,11,12,13],[2,3,6,7,8,11,12],[2,3,7,9,10,11,14],[2,4,5,6,9,12,14],[2,4,5,8,10,11,13],[2,4,6,9,10,12,13],[2,5,7,8,10,12,14],[2,6,8,9,11,13,14],[3,4,5,9,11,13,14],[3,4,6,7,8,11,13],[3,4,7,10,12,13,14],[3,5,6,7,9,12,13],[3,5,8,9,10,11,12],[4,5,6,7,8,10,14]]; G[7734]:=Group([(2,12)(3,11)(5,14)(7,8)]); # Design 7735: autom. group order 2, simple, residual B[7735]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,10,13,14],[1,2,7,8,12,13,14],[1,3,5,9,11,12,14],[1,3,6,8,12,13,14],[1,4,6,8,9,10,13],[1,4,7,8,10,11,14],[1,4,7,9,11,12,13],[1,5,6,7,8,9,11],[1,5,6,9,10,12,14],[2,3,6,7,9,10,14],[2,3,8,9,11,13,14],[2,4,5,6,8,12,13],[2,4,5,9,11,13,14],[2,4,6,7,9,12,14],[2,5,7,8,10,11,12],[2,6,8,9,10,11,12],[3,4,5,8,10,12,14],[3,4,6,7,8,11,14],[3,4,7,9,10,12,13],[3,5,6,7,11,12,13],[3,5,7,8,9,10,13],[4,5,6,10,11,13,14]]; G[7735]:=Group([(1,11)(3,10)(4,12)(5,8)(7,9)]); # Design 7736: autom. group order 2, simple, residual B[7736]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,10,13,14],[1,2,7,8,12,13,14],[1,3,5,9,11,12,14],[1,3,6,8,12,13,14],[1,4,6,8,9,10,13],[1,4,7,8,10,11,14],[1,4,7,9,11,12,13],[1,5,6,7,8,9,11],[1,5,6,9,10,12,14],[2,3,6,7,9,10,14],[2,3,8,9,11,13,14],[2,4,5,6,8,12,14],[2,4,5,9,11,13,14],[2,4,6,7,9,12,13],[2,5,7,8,10,11,12],[2,6,8,9,10,11,12],[3,4,5,8,10,12,13],[3,4,6,7,8,11,14],[3,4,7,9,10,12,14],[3,5,6,7,11,12,13],[3,5,7,8,9,10,13],[4,5,6,10,11,13,14]]; G[7736]:=Group([(1,11)(3,10)(4,12)(5,8)(7,9)]); # Design 7737: autom. group order 2, simple, residual B[7737]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,9,12,13,14],[1,3,5,7,9,11,13],[1,3,6,7,8,11,12],[1,4,6,7,8,12,14],[1,4,7,9,10,12,13],[1,4,8,9,10,11,14],[1,5,6,8,9,10,14],[1,5,6,10,11,12,13],[2,3,6,7,9,10,14],[2,3,8,9,10,11,12],[2,4,5,6,11,12,14],[2,4,5,7,8,10,13],[2,4,6,8,9,12,13],[2,5,7,9,11,12,14],[2,6,7,8,10,11,13],[3,4,5,10,12,13,14],[3,4,6,9,11,13,14],[3,4,7,8,11,13,14],[3,5,6,8,9,12,13],[3,5,7,8,10,12,14],[4,5,6,7,9,10,11]]; G[7737]:=Group([(1,13)(2,14)(5,11)(7,9)]); # Design 7738: autom. group order 2, simple B[7738]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,9,12,13,14],[1,3,5,7,9,11,13],[1,3,6,7,8,12,14],[1,4,6,7,8,11,12],[1,4,7,9,10,12,13],[1,4,8,9,10,11,14],[1,5,6,8,9,10,14],[1,5,6,10,11,12,13],[2,3,6,8,9,12,13],[2,3,8,9,10,11,12],[2,4,5,6,11,12,14],[2,4,5,7,8,10,13],[2,4,6,7,9,10,14],[2,5,7,9,11,12,14],[2,6,7,8,10,11,13],[3,4,5,10,12,13,14],[3,4,6,9,11,13,14],[3,4,7,8,11,13,14],[3,5,6,7,9,10,11],[3,5,7,8,10,12,14],[4,5,6,8,9,12,13]]; G[7738]:=Group([(1,13)(2,14)(5,11)(7,9)]); # Design 7739: autom. group order 2, simple, residual B[7739]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,8,9,12,13],[1,3,5,7,12,13,14],[1,3,6,7,9,10,14],[1,4,6,8,11,12,14],[1,4,7,8,9,10,13],[1,4,7,9,11,12,14],[1,5,6,8,9,10,11],[1,5,6,10,11,12,13],[2,3,6,7,8,11,12],[2,3,8,9,10,11,14],[2,4,5,6,9,12,14],[2,4,5,7,10,11,13],[2,4,6,9,10,12,13],[2,5,7,8,10,12,14],[2,6,7,9,11,13,14],[3,4,5,9,11,13,14],[3,4,6,7,8,11,13],[3,4,8,10,12,13,14],[3,5,6,8,9,12,13],[3,5,7,9,10,11,12],[4,5,6,7,8,10,14]]; G[7739]:=Group([(2,12)(3,11)(5,14)(7,8)]); # Design 7740: autom. group order 2, simple, residual B[7740]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,10,11,13,14],[1,2,7,9,12,13,14],[1,3,5,7,10,12,13],[1,3,6,7,9,10,11],[1,4,6,9,11,12,14],[1,4,7,8,9,12,13],[1,4,7,8,10,11,14],[1,5,6,8,9,10,13],[1,5,6,8,11,12,14],[2,3,6,7,8,12,14],[2,3,8,9,10,11,12],[2,4,5,6,9,10,14],[2,4,5,8,11,12,13],[2,4,6,7,9,11,13],[2,5,7,9,10,12,14],[2,6,7,8,10,11,13],[3,4,5,7,11,13,14],[3,4,6,10,12,13,14],[3,4,8,9,10,13,14],[3,5,6,9,11,12,13],[3,5,7,8,9,11,14],[4,5,6,7,8,10,12]]; G[7740]:=Group([(1,13)(2,14)(5,10)(7,12)]); # Design 7741: autom. group order 2, simple B[7741]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,9,10,14],[1,2,7,8,10,13,14],[1,3,5,7,11,12,14],[1,3,6,7,9,12,14],[1,4,6,8,10,12,14],[1,4,7,9,11,13,14],[1,4,8,9,11,12,13],[1,5,6,7,9,10,13],[1,5,6,8,11,12,13],[2,3,6,8,11,13,14],[2,3,7,8,9,12,13],[2,4,5,6,9,12,13],[2,4,5,7,11,13,14],[2,4,6,7,8,12,14],[2,5,9,10,11,12,14],[2,6,7,9,10,11,12],[3,4,5,10,12,13,14],[3,4,6,9,10,13,14],[3,4,7,8,9,10,11],[3,5,6,8,9,11,14],[3,5,7,8,10,12,13],[4,5,6,7,8,10,11]]; G[7741]:=Group([(1,10)(3,11)(4,12)(5,9)(8,14)]); # Design 7742: autom. group order 2, simple, residual B[7742]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,7,9,12,13,14],[1,3,5,7,11,12,14],[1,3,6,8,9,12,14],[1,4,6,7,9,10,13],[1,4,7,8,11,12,13],[1,4,8,9,10,11,14],[1,5,6,7,8,9,11],[1,5,6,10,12,13,14],[2,3,6,7,8,10,14],[2,3,7,9,11,13,14],[2,4,5,6,9,12,13],[2,4,5,8,11,13,14],[2,4,6,7,8,12,14],[2,5,7,9,10,11,12],[2,6,8,9,10,11,12],[3,4,5,9,10,12,14],[3,4,6,9,11,13,14],[3,4,7,8,10,12,13],[3,5,6,8,11,12,13],[3,5,7,8,9,10,13],[4,5,6,7,10,11,14]]; G[7742]:=Group([(1,11)(3,10)(4,12)(5,9)(7,8)]); # Design 7743: autom. group order 2, simple, residual B[7743]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,7,9,12,13,14],[1,3,5,7,11,12,14],[1,3,6,8,9,12,14],[1,4,6,7,9,10,13],[1,4,7,8,11,12,13],[1,4,8,9,10,11,14],[1,5,6,7,8,9,11],[1,5,6,10,12,13,14],[2,3,6,7,8,10,14],[2,3,7,9,11,13,14],[2,4,5,6,9,12,14],[2,4,5,8,11,13,14],[2,4,6,7,8,12,13],[2,5,7,9,10,11,12],[2,6,8,9,10,11,12],[3,4,5,9,10,12,13],[3,4,6,9,11,13,14],[3,4,7,8,10,12,14],[3,5,6,8,11,12,13],[3,5,7,8,9,10,13],[4,5,6,7,10,11,14]]; G[7743]:=Group([(1,11)(3,10)(4,12)(5,9)(7,8)]); # Design 7744: autom. group order 2, simple, residual B[7744]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,13,14],[1,2,7,9,11,12,13],[1,3,5,7,10,11,14],[1,3,6,9,11,12,14],[1,4,6,7,10,12,13],[1,4,7,8,9,11,14],[1,4,8,10,12,13,14],[1,5,6,7,8,11,13],[1,5,6,8,9,10,12],[2,3,6,8,10,11,12],[2,3,7,8,9,10,13],[2,4,5,6,7,12,14],[2,4,5,9,11,12,13],[2,4,6,8,11,13,14],[2,5,7,8,10,12,14],[2,6,7,9,10,11,14],[3,4,5,10,11,13,14],[3,4,6,7,9,10,13],[3,4,7,8,9,12,14],[3,5,6,9,12,13,14],[3,5,7,8,11,12,13],[4,5,6,8,9,10,11]]; G[7744]:=Group([(2,10)(3,12)(5,13)(9,14)]); # Design 7745: autom. group order 2, simple, residual B[7745]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,13,14],[1,2,7,9,11,12,13],[1,3,5,7,10,11,14],[1,3,6,9,11,12,14],[1,4,6,7,10,12,13],[1,4,7,8,9,11,14],[1,4,8,10,12,13,14],[1,5,6,7,8,11,13],[1,5,6,8,9,10,12],[2,3,6,8,10,11,12],[2,3,7,8,10,13,14],[2,4,5,6,7,12,14],[2,4,5,11,12,13,14],[2,4,6,8,9,11,13],[2,5,7,8,9,10,12],[2,6,7,9,10,11,14],[3,4,5,9,10,11,13],[3,4,6,7,9,10,13],[3,4,7,8,9,12,14],[3,5,6,9,12,13,14],[3,5,7,8,11,12,13],[4,5,6,8,10,11,14]]; G[7745]:=Group([(2,10)(3,12)(5,13)(9,14)]); # Design 7746: autom. group order 2, simple B[7746]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,7,9,10,13,14],[1,3,5,7,11,12,14],[1,3,6,8,9,12,13],[1,4,6,8,11,13,14],[1,4,7,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,7,8,9,10],[1,5,6,9,11,12,14],[2,3,6,7,9,11,14],[2,3,7,8,12,13,14],[2,4,5,6,8,12,14],[2,4,5,9,11,13,14],[2,4,6,7,9,12,13],[2,5,7,8,10,11,12],[2,6,8,9,10,11,12],[3,4,5,9,10,12,13],[3,4,6,7,8,10,14],[3,4,8,9,10,11,14],[3,5,6,10,12,13,14],[3,5,7,8,9,11,13],[4,5,6,7,10,11,13]]; G[7746]:=Group([(1,10)(3,11)(4,12)(5,8)(7,9)]); # Design 7747: autom. group order 2, simple B[7747]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,7,9,10,13,14],[1,3,5,7,11,12,14],[1,3,6,8,9,12,14],[1,4,6,8,11,13,14],[1,4,7,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,7,8,9,10],[1,5,6,9,11,12,13],[2,3,6,7,9,11,14],[2,3,7,8,12,13,14],[2,4,5,6,8,12,14],[2,4,5,9,11,13,14],[2,4,6,7,9,12,13],[2,5,7,8,10,11,12],[2,6,8,9,10,11,12],[3,4,5,9,10,12,13],[3,4,6,7,8,10,13],[3,4,8,9,10,11,14],[3,5,6,10,12,13,14],[3,5,7,8,9,11,13],[4,5,6,7,10,11,14]]; G[7747]:=Group([(1,10)(3,11)(4,12)(5,8)(7,9)]); # Design 7748: autom. group order 2, simple, residual B[7748]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,7,9,10,13,14],[1,3,5,7,11,12,14],[1,3,6,8,9,12,13],[1,4,6,8,11,13,14],[1,4,7,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,7,8,9,10],[1,5,6,9,11,12,14],[2,3,6,7,8,12,14],[2,3,7,9,11,13,14],[2,4,5,6,9,11,14],[2,4,5,8,12,13,14],[2,4,6,7,9,12,13],[2,5,7,8,10,11,12],[2,6,8,9,10,11,12],[3,4,5,9,10,12,13],[3,4,6,7,8,10,14],[3,4,8,9,10,11,14],[3,5,6,10,12,13,14],[3,5,7,8,9,11,13],[4,5,6,7,10,11,13]]; G[7748]:=Group([(1,10)(3,11)(4,12)(5,8)(7,9)]); # Design 7749: autom. group order 2, simple, residual B[7749]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,10,11,12,13],[1,2,7,8,11,12,14],[1,3,5,7,9,11,14],[1,3,6,8,9,12,14],[1,4,6,8,9,11,13],[1,4,7,8,10,12,14],[1,4,7,9,10,13,14],[1,5,6,7,8,11,13],[1,5,6,9,10,12,13],[2,3,6,7,8,12,13],[2,3,7,8,9,10,13],[2,4,5,6,9,12,14],[2,4,5,8,11,13,14],[2,4,6,7,9,10,11],[2,5,7,9,12,13,14],[2,6,8,9,10,11,14],[3,4,5,8,10,13,14],[3,4,6,11,12,13,14],[3,4,7,9,11,12,13],[3,5,6,7,10,11,14],[3,5,8,9,10,11,12],[4,5,6,7,8,10,12]]; G[7749]:=Group([(1,12)(2,11)(5,13)(6,9)(8,14)]); # Design 7750: autom. group order 2, simple, residual B[7750]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,9,12,13,14],[1,3,5,7,9,11,13],[1,3,6,8,9,11,12],[1,4,6,8,9,12,14],[1,4,7,8,10,11,14],[1,4,7,9,10,12,13],[1,5,6,7,8,10,14],[1,5,6,10,11,12,13],[2,3,6,7,9,10,14],[2,3,7,8,10,11,12],[2,4,5,6,11,12,14],[2,4,5,8,9,10,13],[2,4,6,7,8,12,13],[2,5,7,9,11,12,14],[2,6,8,9,10,11,13],[3,4,5,10,12,13,14],[3,4,6,9,11,13,14],[3,4,7,8,11,13,14],[3,5,6,7,8,12,13],[3,5,8,9,10,12,14],[4,5,6,7,9,10,11]]; G[7750]:=Group([(1,13)(2,14)(5,11)(7,9)]); # Design 7751: autom. group order 2, simple B[7751]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,9,12,13,14],[1,3,5,7,9,11,13],[1,3,6,8,9,12,14],[1,4,6,8,9,11,12],[1,4,7,8,10,11,14],[1,4,7,9,10,12,13],[1,5,6,7,8,10,14],[1,5,6,10,11,12,13],[2,3,6,7,8,12,13],[2,3,7,8,10,11,12],[2,4,5,6,11,12,14],[2,4,5,8,9,10,13],[2,4,6,7,9,10,14],[2,5,7,9,11,12,14],[2,6,8,9,10,11,13],[3,4,5,10,12,13,14],[3,4,6,9,11,13,14],[3,4,7,8,11,13,14],[3,5,6,7,9,10,11],[3,5,8,9,10,12,14],[4,5,6,7,8,12,13]]; G[7751]:=Group([(1,13)(2,14)(5,11)(7,9)]); # Design 7752: autom. group order 2, simple B[7752]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,7,9,12,13,14],[1,3,5,7,11,12,14],[1,3,6,9,12,13,14],[1,4,6,8,11,12,13],[1,4,7,8,9,10,13],[1,4,7,9,10,11,14],[1,5,6,7,8,9,11],[1,5,6,8,10,12,14],[2,3,6,7,8,10,14],[2,3,8,9,11,13,14],[2,4,5,6,9,12,13],[2,4,5,7,11,13,14],[2,4,6,7,8,12,14],[2,5,8,9,10,11,12],[2,6,7,9,10,11,12],[3,4,5,9,10,12,14],[3,4,6,8,9,11,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,13],[3,5,7,8,11,12,13],[4,5,6,10,11,13,14]]; G[7752]:=Group([(1,11)(3,10)(4,12)(5,9)]); # Design 7753: autom. group order 2, simple, residual B[7753]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,7,9,12,13,14],[1,3,5,7,11,12,14],[1,3,6,9,12,13,14],[1,4,6,8,11,12,13],[1,4,7,8,9,10,13],[1,4,7,9,10,11,14],[1,5,6,7,8,9,11],[1,5,6,8,10,12,14],[2,3,6,7,8,10,14],[2,3,8,9,11,13,14],[2,4,5,6,9,12,14],[2,4,5,7,11,13,14],[2,4,6,7,8,12,13],[2,5,8,9,10,11,12],[2,6,7,9,10,11,12],[3,4,5,9,10,12,13],[3,4,6,8,9,11,14],[3,4,7,8,10,12,14],[3,5,6,7,9,10,13],[3,5,7,8,11,12,13],[4,5,6,10,11,13,14]]; G[7753]:=Group([(1,11)(3,10)(4,12)(5,9)]); # Design 7754: autom. group order 2, simple B[7754]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,7,9,12,13,14],[1,3,5,7,11,12,14],[1,3,6,8,9,12,14],[1,4,6,8,11,12,13],[1,4,7,8,9,10,13],[1,4,7,9,10,11,14],[1,5,6,7,8,9,11],[1,5,6,10,12,13,14],[2,3,6,7,8,10,14],[2,3,8,9,11,13,14],[2,4,5,6,9,12,13],[2,4,5,7,11,13,14],[2,4,6,7,8,12,14],[2,5,8,9,10,11,12],[2,6,7,9,10,11,12],[3,4,5,9,10,12,14],[3,4,6,9,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,13],[3,5,7,8,11,12,13],[4,5,6,8,10,11,14]]; G[7754]:=Group([(1,11)(3,10)(4,12)(5,9)]); # Design 7755: autom. group order 2, simple, residual B[7755]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,7,9,12,13,14],[1,3,5,7,11,12,14],[1,3,6,8,9,12,14],[1,4,6,8,11,12,13],[1,4,7,8,9,10,13],[1,4,7,9,10,11,14],[1,5,6,7,8,9,11],[1,5,6,10,12,13,14],[2,3,6,7,8,10,14],[2,3,8,9,11,13,14],[2,4,5,6,9,12,14],[2,4,5,7,11,13,14],[2,4,6,7,8,12,13],[2,5,8,9,10,11,12],[2,6,7,9,10,11,12],[3,4,5,9,10,12,13],[3,4,6,9,11,13,14],[3,4,7,8,10,12,14],[3,5,6,7,9,10,13],[3,5,7,8,11,12,13],[4,5,6,8,10,11,14]]; G[7755]:=Group([(1,11)(3,10)(4,12)(5,9)]); # Design 7756: autom. group order 2, simple B[7756]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,9,10,14],[1,2,7,8,10,13,14],[1,3,5,7,11,12,14],[1,3,6,9,12,13,14],[1,4,6,8,10,12,14],[1,4,7,9,11,13,14],[1,4,8,9,11,12,13],[1,5,6,7,8,11,12],[1,5,6,7,9,10,13],[2,3,6,8,11,13,14],[2,3,7,8,9,12,13],[2,4,5,6,9,12,13],[2,4,5,7,11,13,14],[2,4,6,7,8,12,14],[2,5,9,10,11,12,14],[2,6,7,9,10,11,12],[3,4,5,10,12,13,14],[3,4,6,7,9,10,14],[3,4,7,8,9,10,11],[3,5,6,8,9,11,14],[3,5,7,8,10,12,13],[4,5,6,8,10,11,13]]; G[7756]:=Group([(1,10)(3,11)(4,12)(5,9)(8,14)]); # Design 7757: autom. group order 2, simple, residual B[7757]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,9,10,14],[1,2,7,8,10,13,14],[1,3,5,11,12,13,14],[1,3,6,7,9,12,14],[1,4,6,8,10,12,14],[1,4,7,8,9,11,12],[1,4,7,9,11,13,14],[1,5,6,7,9,10,13],[1,5,6,8,11,12,13],[2,3,6,7,8,11,14],[2,3,7,8,9,12,13],[2,4,5,6,9,12,13],[2,4,5,7,11,13,14],[2,4,6,8,12,13,14],[2,5,9,10,11,12,14],[2,6,7,9,10,11,12],[3,4,5,7,10,12,14],[3,4,6,9,10,13,14],[3,4,8,9,10,11,13],[3,5,6,8,9,11,14],[3,5,7,8,10,12,13],[4,5,6,7,8,10,11]]; G[7757]:=Group([(1,10)(3,11)(4,12)(5,9)(8,14)]); # Design 7758: autom. group order 2, simple B[7758]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,7,9,10,13,14],[1,3,5,9,11,12,14],[1,3,6,7,8,12,13],[1,4,6,8,9,11,14],[1,4,7,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,7,8,9,10],[1,5,6,11,12,13,14],[2,3,6,7,9,11,14],[2,3,8,9,12,13,14],[2,4,5,6,8,12,14],[2,4,5,7,11,13,14],[2,4,6,7,9,12,13],[2,5,7,8,10,11,12],[2,6,8,9,10,11,12],[3,4,5,9,10,12,13],[3,4,6,8,10,13,14],[3,4,7,8,10,11,14],[3,5,6,7,10,12,14],[3,5,7,8,9,11,13],[4,5,6,9,10,11,13]]; G[7758]:=Group([(1,10)(3,11)(4,12)(5,8)(7,9)]); # Design 7759: autom. group order 2, simple B[7759]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,7,9,10,13,14],[1,3,5,9,11,12,14],[1,3,6,7,8,12,14],[1,4,6,8,9,11,13],[1,4,7,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,7,8,9,10],[1,5,6,11,12,13,14],[2,3,6,7,9,11,14],[2,3,8,9,12,13,14],[2,4,5,6,8,12,14],[2,4,5,7,11,13,14],[2,4,6,7,9,12,13],[2,5,7,8,10,11,12],[2,6,8,9,10,11,12],[3,4,5,9,10,12,13],[3,4,6,8,10,13,14],[3,4,7,8,10,11,14],[3,5,6,7,10,12,13],[3,5,7,8,9,11,13],[4,5,6,9,10,11,14]]; G[7759]:=Group([(1,10)(3,11)(4,12)(5,8)(7,9)]); # Design 7760: autom. group order 2, simple, residual B[7760]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,7,9,10,13,14],[1,3,5,9,11,12,14],[1,3,6,7,8,12,13],[1,4,6,8,9,11,14],[1,4,7,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,7,8,9,10],[1,5,6,11,12,13,14],[2,3,6,8,9,12,14],[2,3,7,9,11,13,14],[2,4,5,6,7,11,14],[2,4,5,8,12,13,14],[2,4,6,7,9,12,13],[2,5,7,8,10,11,12],[2,6,8,9,10,11,12],[3,4,5,9,10,12,13],[3,4,6,8,10,13,14],[3,4,7,8,10,11,14],[3,5,6,7,10,12,14],[3,5,7,8,9,11,13],[4,5,6,9,10,11,13]]; G[7760]:=Group([(1,10)(3,11)(4,12)(5,8)(7,9)]); # Design 7761: autom. group order 2, simple B[7761]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,7,9,10,13,14],[1,3,5,9,11,12,14],[1,3,6,8,12,13,14],[1,4,6,7,8,11,13],[1,4,7,9,10,12,14],[1,4,8,9,11,12,13],[1,5,6,7,8,9,10],[1,5,6,7,11,12,14],[2,3,6,7,9,11,14],[2,3,7,8,12,13,14],[2,4,5,6,8,12,14],[2,4,5,9,11,13,14],[2,4,6,7,9,12,13],[2,5,7,8,10,11,12],[2,6,8,9,10,11,12],[3,4,5,7,10,12,13],[3,4,6,8,9,10,14],[3,4,7,8,10,11,14],[3,5,6,9,10,12,13],[3,5,7,8,9,11,13],[4,5,6,10,11,13,14]]; G[7761]:=Group([(1,10)(3,11)(4,12)(5,8)(7,9)]); # Design 7762: autom. group order 2, simple B[7762]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,7,9,10,13,14],[1,3,5,9,11,12,14],[1,3,6,8,12,13,14],[1,4,6,7,8,11,14],[1,4,7,9,10,12,14],[1,4,8,9,11,12,13],[1,5,6,7,8,9,10],[1,5,6,7,11,12,13],[2,3,6,7,9,11,14],[2,3,7,8,12,13,14],[2,4,5,6,8,12,14],[2,4,5,9,11,13,14],[2,4,6,7,9,12,13],[2,5,7,8,10,11,12],[2,6,8,9,10,11,12],[3,4,5,7,10,12,13],[3,4,6,8,9,10,13],[3,4,7,8,10,11,14],[3,5,6,9,10,12,14],[3,5,7,8,9,11,13],[4,5,6,10,11,13,14]]; G[7762]:=Group([(1,10)(3,11)(4,12)(5,8)(7,9)]); # Design 7763: autom. group order 2, simple, residual B[7763]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,9,10,14],[1,2,7,8,10,13,14],[1,3,5,11,12,13,14],[1,3,6,9,12,13,14],[1,4,6,8,10,12,14],[1,4,7,8,9,11,12],[1,4,7,9,11,13,14],[1,5,6,7,8,11,12],[1,5,6,7,9,10,13],[2,3,6,7,8,11,14],[2,3,7,8,9,12,13],[2,4,5,6,9,12,13],[2,4,5,7,11,13,14],[2,4,6,8,12,13,14],[2,5,9,10,11,12,14],[2,6,7,9,10,11,12],[3,4,5,7,10,12,14],[3,4,6,7,9,10,14],[3,4,8,9,10,11,13],[3,5,6,8,9,11,14],[3,5,7,8,10,12,13],[4,5,6,8,10,11,13]]; G[7763]:=Group([(1,10)(3,11)(4,12)(5,9)(8,14)]); # Design 7764: autom. group order 2, simple, residual B[7764]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,9,10,11,12,14],[1,3,5,7,10,13,14],[1,3,6,7,11,12,14],[1,4,6,9,10,13,14],[1,4,7,8,9,12,13],[1,4,7,8,11,12,13],[1,5,6,7,8,11,14],[1,5,6,8,9,10,12],[2,3,6,8,12,13,14],[2,3,7,8,9,12,14],[2,4,5,6,11,12,13],[2,4,5,7,10,12,14],[2,4,6,7,9,13,14],[2,5,7,8,10,11,13],[2,6,7,8,9,10,11],[3,4,5,8,9,11,14],[3,4,6,7,9,10,11],[3,4,8,10,11,13,14],[3,5,6,9,11,12,13],[3,5,7,9,10,12,13],[4,5,6,8,10,12,14]]; G[7764]:=Group([(1,7)(2,10)(3,5)(4,13)(6,14)(8,12)]); # Design 7765: autom. group order 2, simple, residual B[7765]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,8,9,12,13,14],[1,3,5,8,11,12,14],[1,3,6,7,9,12,13],[1,4,6,9,10,13,14],[1,4,7,8,11,12,13],[1,4,7,9,10,11,14],[1,5,6,7,8,9,11],[1,5,6,7,10,12,14],[2,3,6,7,8,10,14],[2,3,7,9,11,13,14],[2,4,5,6,9,12,14],[2,4,5,7,11,13,14],[2,4,6,7,8,12,13],[2,5,7,9,10,11,12],[2,6,8,9,10,11,12],[3,4,5,9,10,12,13],[3,4,6,8,9,11,14],[3,4,7,8,10,12,14],[3,5,6,11,12,13,14],[3,5,7,8,9,10,13],[4,5,6,8,10,11,13]]; G[7765]:=Group([(1,11)(3,10)(4,12)(5,9)(7,8)]); # Design 7766: autom. group order 2, simple, residual B[7766]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,8,9,12,13,14],[1,3,5,8,11,12,14],[1,3,6,7,9,12,14],[1,4,6,9,10,13,14],[1,4,7,8,11,12,13],[1,4,7,9,10,11,14],[1,5,6,7,8,9,11],[1,5,6,7,10,12,13],[2,3,6,7,8,10,14],[2,3,7,9,11,13,14],[2,4,5,6,9,12,14],[2,4,5,7,11,13,14],[2,4,6,7,8,12,13],[2,5,7,9,10,11,12],[2,6,8,9,10,11,12],[3,4,5,9,10,12,13],[3,4,6,8,9,11,13],[3,4,7,8,10,12,14],[3,5,6,11,12,13,14],[3,5,7,8,9,10,13],[4,5,6,8,10,11,14]]; G[7766]:=Group([(1,11)(3,10)(4,12)(5,9)(7,8)]); # Design 7767: autom. group order 2, simple, residual B[7767]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,8,9,12,13,14],[1,3,5,8,11,12,14],[1,3,6,7,9,12,13],[1,4,6,11,12,13,14],[1,4,7,8,9,10,13],[1,4,7,9,10,11,14],[1,5,6,7,8,9,11],[1,5,6,7,10,12,14],[2,3,6,7,8,10,14],[2,3,7,9,11,13,14],[2,4,5,6,9,12,14],[2,4,5,7,11,13,14],[2,4,6,7,8,12,13],[2,5,7,9,10,11,12],[2,6,8,9,10,11,12],[3,4,5,9,10,12,13],[3,4,6,8,9,11,14],[3,4,7,8,10,12,14],[3,5,6,9,10,13,14],[3,5,7,8,11,12,13],[4,5,6,8,10,11,13]]; G[7767]:=Group([(1,11)(3,10)(4,12)(5,9)(7,8)]); # Design 7768: autom. group order 2, simple B[7768]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,8,9,12,13,14],[1,3,5,8,11,12,14],[1,3,6,7,9,12,14],[1,4,6,11,12,13,14],[1,4,7,8,9,10,13],[1,4,7,9,10,11,14],[1,5,6,7,8,9,11],[1,5,6,7,10,12,13],[2,3,6,7,8,10,14],[2,3,7,9,11,13,14],[2,4,5,6,9,12,13],[2,4,5,7,11,13,14],[2,4,6,7,8,12,14],[2,5,7,9,10,11,12],[2,6,8,9,10,11,12],[3,4,5,9,10,12,14],[3,4,6,8,9,11,13],[3,4,7,8,10,12,13],[3,5,6,9,10,13,14],[3,5,7,8,11,12,13],[4,5,6,8,10,11,14]]; G[7768]:=Group([(1,11)(3,10)(4,12)(5,9)(7,8)]); # Design 7769: autom. group order 2, simple, residual B[7769]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,8,9,12,13,14],[1,3,5,8,11,12,14],[1,3,6,7,9,12,14],[1,4,6,11,12,13,14],[1,4,7,8,9,10,13],[1,4,7,9,10,11,14],[1,5,6,7,8,9,11],[1,5,6,7,10,12,13],[2,3,6,7,8,10,14],[2,3,7,9,11,13,14],[2,4,5,6,9,12,14],[2,4,5,7,11,13,14],[2,4,6,7,8,12,13],[2,5,7,9,10,11,12],[2,6,8,9,10,11,12],[3,4,5,9,10,12,13],[3,4,6,8,9,11,13],[3,4,7,8,10,12,14],[3,5,6,9,10,13,14],[3,5,7,8,11,12,13],[4,5,6,8,10,11,14]]; G[7769]:=Group([(1,11)(3,10)(4,12)(5,9)(7,8)]); # Design 7770: autom. group order 2, simple, residual B[7770]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,12,14],[1,2,7,8,9,12,13],[1,3,5,7,11,13,14],[1,3,6,9,12,13,14],[1,4,6,7,9,11,14],[1,4,7,8,11,12,14],[1,4,8,9,10,11,13],[1,5,6,7,8,10,13],[1,5,6,9,10,12,14],[2,3,6,8,11,12,14],[2,3,7,9,10,13,14],[2,4,5,6,8,13,14],[2,4,5,9,11,13,14],[2,4,7,10,12,13,14],[2,5,6,7,9,11,12],[2,6,7,8,9,10,11],[3,4,5,7,9,10,12],[3,4,6,7,8,10,14],[3,4,6,8,9,12,13],[3,5,7,8,11,12,13],[3,5,8,9,10,11,14],[4,5,6,10,11,12,13]]; G[7770]:=Group([(1,14)(3,13)(6,9)(7,11)]); # Design 7771: autom. group order 2, simple, residual B[7771]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,12,14],[1,2,8,9,11,12,13],[1,3,5,7,11,13,14],[1,3,6,9,12,13,14],[1,4,6,7,9,11,14],[1,4,7,8,9,10,13],[1,4,7,8,11,12,14],[1,5,6,7,8,10,13],[1,5,6,9,10,12,14],[2,3,6,7,8,12,14],[2,3,7,9,10,13,14],[2,4,5,6,8,13,14],[2,4,5,9,11,13,14],[2,4,7,10,12,13,14],[2,5,6,7,9,11,12],[2,6,7,8,9,10,11],[3,4,5,7,9,10,12],[3,4,6,8,9,12,13],[3,4,6,8,10,11,14],[3,5,7,8,11,12,13],[3,5,8,9,10,11,14],[4,5,6,10,11,12,13]]; G[7771]:=Group([(1,14)(3,13)(6,9)(7,11)]); # Design 7772: autom. group order 2, simple, residual B[7772]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,8,10,12,13,14],[1,3,5,7,9,10,14],[1,3,6,7,8,12,14],[1,4,6,8,10,11,14],[1,4,7,8,9,11,13],[1,4,7,9,11,12,13],[1,5,6,8,9,10,13],[1,5,6,9,11,12,14],[2,3,6,9,11,13,14],[2,3,7,8,9,11,14],[2,4,5,8,11,12,14],[2,4,5,9,10,13,14],[2,4,6,7,9,10,12],[2,5,6,7,8,11,13],[2,6,7,8,9,10,12],[3,4,5,6,8,12,13],[3,4,6,9,12,13,14],[3,4,7,8,10,13,14],[3,5,7,10,11,12,13],[3,5,8,9,10,11,12],[4,5,6,7,10,11,14]]; G[7772]:=Group([(1,10)(2,11)(4,12)(6,13)]); # Design 7773: autom. group order 2, simple, residual B[7773]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,8,9,10,12,13],[1,3,5,7,8,10,14],[1,3,6,7,9,12,14],[1,4,6,9,10,11,14],[1,4,7,8,11,12,13],[1,4,7,9,11,13,14],[1,5,6,8,9,11,12],[1,5,6,8,10,13,14],[2,3,6,8,11,13,14],[2,3,7,8,9,11,14],[2,4,5,8,11,12,14],[2,4,5,9,10,13,14],[2,4,6,7,10,12,14],[2,5,6,7,9,11,13],[2,6,7,8,9,10,12],[3,4,5,6,9,12,13],[3,4,6,8,12,13,14],[3,4,7,8,9,10,13],[3,5,7,10,11,12,13],[3,5,9,10,11,12,14],[4,5,6,7,8,10,11]]; G[7773]:=Group([(1,10)(2,11)(4,12)(6,13)(8,14)]); # Design 7774: autom. group order 2, simple, residual B[7774]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,12,13],[1,2,9,10,12,13,14],[1,3,5,7,9,11,14],[1,3,6,8,9,10,14],[1,4,6,8,11,12,13],[1,4,7,8,9,10,13],[1,4,7,9,11,12,14],[1,5,6,7,10,12,14],[1,5,6,8,11,13,14],[2,3,6,8,9,12,14],[2,3,7,8,11,13,14],[2,4,5,8,10,12,14],[2,4,5,9,11,13,14],[2,4,6,7,10,11,14],[2,5,6,7,9,10,13],[2,6,7,8,9,11,12],[3,4,5,6,12,13,14],[3,4,6,7,9,12,13],[3,4,7,8,10,13,14],[3,5,7,8,10,11,12],[3,5,9,10,11,12,13],[4,5,6,8,9,10,11]]; G[7774]:=Group([(1,11)(2,10)(4,12)(6,13)(7,9)]); # Design 7775: autom. group order 2, simple, residual B[7775]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,11,14],[1,2,7,9,11,12,13],[1,3,5,7,11,12,14],[1,3,6,9,12,13,14],[1,4,6,7,8,12,14],[1,4,7,8,10,11,14],[1,4,8,9,10,12,13],[1,5,6,7,9,10,13],[1,5,6,8,11,13,14],[2,3,6,8,9,11,14],[2,3,7,10,12,13,14],[2,4,5,7,9,13,14],[2,4,5,8,12,13,14],[2,4,6,10,11,13,14],[2,5,6,7,8,10,12],[2,6,7,8,9,11,12],[3,4,5,6,11,12,13],[3,4,6,7,9,10,14],[3,4,7,8,9,11,13],[3,5,7,8,10,11,13],[3,5,8,9,10,12,14],[4,5,6,9,10,11,12]]; G[7775]:=Group([(1,14)(3,13)(6,12)(7,8)]); # Design 7776: autom. group order 2, simple, residual B[7776]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,9,10,12,13,14],[1,3,5,7,8,10,14],[1,3,6,7,9,12,14],[1,4,6,9,10,11,14],[1,4,7,8,9,11,13],[1,4,7,8,11,12,13],[1,5,6,7,11,12,14],[1,5,6,8,9,10,13],[2,3,6,8,11,13,14],[2,3,7,8,9,11,14],[2,4,5,7,10,13,14],[2,4,5,9,11,12,14],[2,4,6,7,8,10,12],[2,5,6,7,9,11,13],[2,6,7,8,9,10,12],[3,4,5,6,9,12,13],[3,4,6,8,12,13,14],[3,4,7,9,10,13,14],[3,5,7,10,11,12,13],[3,5,8,9,10,11,12],[4,5,6,8,10,11,14]]; G[7776]:=Group([(1,10)(2,11)(4,12)(6,13)]); # Design 7777: autom. group order 2, simple, residual B[7777]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,8,9,10,12,13],[1,3,5,7,9,10,14],[1,3,6,7,8,12,14],[1,4,6,8,10,11,14],[1,4,7,8,11,13,14],[1,4,7,9,11,12,13],[1,5,6,7,9,11,12],[1,5,6,9,10,13,14],[2,3,6,9,11,13,14],[2,3,7,8,9,11,14],[2,4,5,7,10,13,14],[2,4,5,9,11,12,14],[2,4,6,7,10,12,14],[2,5,6,7,8,11,13],[2,6,7,8,9,10,12],[3,4,5,6,8,12,13],[3,4,6,9,12,13,14],[3,4,7,8,9,10,13],[3,5,7,10,11,12,13],[3,5,8,10,11,12,14],[4,5,6,8,9,10,11]]; G[7777]:=Group([(1,10)(2,11)(4,12)(6,13)(9,14)]); # Design 7778: autom. group order 2, simple, residual B[7778]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,8,9,10,11,13],[1,3,5,8,11,12,14],[1,3,6,7,8,9,13],[1,4,6,7,8,10,11],[1,4,7,9,12,13,14],[1,4,8,9,10,12,14],[1,5,6,7,10,12,14],[1,5,6,9,11,12,13],[2,3,7,8,11,12,14],[2,3,7,9,10,12,13],[2,4,5,6,8,12,13],[2,4,5,7,9,10,14],[2,4,6,8,12,13,14],[2,5,6,9,10,11,12],[2,6,7,8,9,11,14],[3,4,5,9,11,13,14],[3,4,6,7,9,11,12],[3,4,6,10,11,13,14],[3,5,6,8,9,10,14],[3,5,7,8,10,12,13],[4,5,7,8,10,11,13]]; G[7778]:=Group([(1,9)(2,6)(3,11)(4,12)(7,10)(8,13)]); # Design 7779: autom. group order 2, simple B[7779]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,10,11,13],[1,2,7,8,12,13,14],[1,3,5,8,9,12,13],[1,3,7,8,9,10,14],[1,4,6,7,8,11,14],[1,4,6,8,11,12,13],[1,4,6,9,10,12,14],[1,5,6,7,9,11,12],[1,5,9,10,11,13,14],[2,3,6,7,9,11,14],[2,3,6,9,11,12,13],[2,4,5,7,12,13,14],[2,4,5,8,9,11,14],[2,4,6,8,9,10,13],[2,5,6,8,10,12,14],[2,7,8,9,10,11,12],[3,4,5,10,11,12,14],[3,4,7,8,10,11,13],[3,4,7,9,12,13,14],[3,5,6,7,8,10,12],[3,5,6,8,11,13,14],[4,5,6,7,9,10,13]]; G[7779]:=Group([(1,8)(3,9)(6,11)(7,14)(12,13)]); # Design 7780: autom. group order 2, simple, residual B[7780]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,9,12,13,14],[1,3,5,7,9,10,13],[1,3,7,8,10,11,12],[1,4,6,7,8,12,13],[1,4,6,8,9,10,14],[1,4,6,9,11,12,13],[1,5,6,8,10,11,14],[1,5,7,9,11,12,14],[2,3,6,7,9,11,14],[2,3,6,8,9,11,12],[2,4,5,7,8,11,13],[2,4,5,9,10,12,14],[2,4,7,8,10,12,14],[2,5,6,10,11,12,13],[2,6,7,8,9,10,13],[3,4,5,6,12,13,14],[3,4,7,10,11,13,14],[3,4,8,9,11,13,14],[3,5,6,7,8,12,14],[3,5,8,9,10,12,13],[4,5,6,7,9,10,11]]; G[7780]:=Group([(1,14)(2,13)(5,11)(6,10)]); # Design 7781: autom. group order 2, simple, residual B[7781]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,8,12,13,14],[1,3,5,7,9,10,13],[1,3,7,8,10,11,12],[1,4,6,7,8,9,13],[1,4,6,8,10,12,14],[1,4,6,9,11,12,13],[1,5,6,9,10,11,14],[1,5,7,9,11,12,14],[2,3,6,7,9,11,14],[2,3,6,8,9,11,12],[2,4,5,7,11,12,13],[2,4,5,9,10,12,14],[2,4,7,8,9,10,14],[2,5,6,8,10,11,13],[2,6,7,9,10,12,13],[3,4,5,6,12,13,14],[3,4,7,10,11,13,14],[3,4,8,9,11,13,14],[3,5,6,7,8,12,14],[3,5,8,9,10,12,13],[4,5,6,7,8,10,11]]; G[7781]:=Group([(1,14)(2,13)(5,11)(6,10)]); # Design 7782: autom. group order 2, simple, residual B[7782]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,12,14],[1,2,7,8,9,12,13],[1,3,5,7,9,12,14],[1,3,7,8,11,13,14],[1,4,6,7,8,10,13],[1,4,6,7,9,11,14],[1,4,6,9,10,12,14],[1,5,6,11,12,13,14],[1,5,8,9,10,11,13],[2,3,6,8,11,12,14],[2,3,7,9,10,13,14],[2,4,5,6,8,13,14],[2,4,5,9,11,13,14],[2,4,7,10,12,13,14],[2,5,6,7,9,10,11],[2,6,7,8,9,11,12],[3,4,5,7,11,12,13],[3,4,6,8,9,12,13],[3,4,8,9,10,11,14],[3,5,6,7,8,10,14],[3,5,6,9,10,12,13],[4,5,7,8,10,11,12]]; G[7782]:=Group([(1,14)(3,13)(6,9)(7,11)]); # Design 7783: autom. group order 2, simple, residual B[7783]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,7,9,10,12,13],[1,3,5,7,11,13,14],[1,3,7,9,10,12,14],[1,4,6,7,8,10,13],[1,4,6,11,12,13,14],[1,4,8,9,11,12,14],[1,5,6,7,8,11,12],[1,5,6,8,9,10,14],[2,3,6,7,9,11,14],[2,3,6,8,10,11,12],[2,4,5,6,10,12,14],[2,4,5,7,12,13,14],[2,4,7,8,9,11,14],[2,5,8,10,11,13,14],[2,6,7,8,9,12,13],[3,4,5,8,9,12,13],[3,4,6,9,10,13,14],[3,4,7,8,10,11,13],[3,5,6,9,11,12,13],[3,5,7,8,10,12,14],[4,5,6,7,9,10,11]]; G[7783]:=Group([(2,12)(3,11)(5,14)(7,13)]); # Design 7784: autom. group order 2, simple, residual B[7784]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,7,9,10,12,13],[1,3,5,7,11,13,14],[1,3,7,9,10,12,14],[1,4,6,7,8,10,13],[1,4,6,11,12,13,14],[1,4,8,9,11,12,14],[1,5,6,7,8,11,12],[1,5,6,8,9,10,14],[2,3,6,8,10,11,12],[2,3,6,9,11,13,14],[2,4,5,6,10,12,14],[2,4,5,7,12,13,14],[2,4,7,8,9,11,14],[2,5,7,8,10,11,14],[2,6,7,8,9,12,13],[3,4,5,8,9,12,13],[3,4,6,7,9,10,14],[3,4,7,8,10,11,13],[3,5,6,7,9,11,12],[3,5,8,10,12,13,14],[4,5,6,9,10,11,13]]; G[7784]:=Group([(2,12)(3,11)(5,14)(7,13)]); # Design 7785: autom. group order 2, simple, residual B[7785]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,9,12,13,14],[1,3,5,9,11,12,13],[1,3,7,8,9,10,11],[1,4,6,7,9,12,13],[1,4,6,8,9,11,14],[1,4,7,8,10,12,14],[1,5,6,7,10,11,13],[1,5,6,8,10,12,14],[2,3,6,7,8,11,12],[2,3,6,9,10,12,14],[2,4,5,6,8,12,13],[2,4,5,7,10,11,14],[2,4,7,8,9,10,13],[2,5,7,9,11,12,14],[2,6,8,9,10,11,13],[3,4,5,9,10,13,14],[3,4,6,7,11,13,14],[3,4,8,11,12,13,14],[3,5,6,7,8,9,14],[3,5,7,8,10,12,13],[4,5,6,9,10,11,12]]; G[7785]:=Group([(1,13)(2,14)(5,11)(9,12)]); # Design 7786: autom. group order 2, simple B[7786]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,7,9,11,12,14],[1,3,5,9,12,13,14],[1,3,7,8,9,10,12],[1,4,6,7,9,10,13],[1,4,6,8,11,12,13],[1,4,7,9,11,13,14],[1,5,6,7,8,10,14],[1,5,6,8,11,12,14],[2,3,6,7,11,12,13],[2,3,6,8,9,13,14],[2,4,5,6,9,11,14],[2,4,5,7,8,12,13],[2,4,8,9,10,12,14],[2,5,7,10,12,13,14],[2,6,7,8,9,10,11],[3,4,5,7,10,11,14],[3,4,6,7,8,12,14],[3,4,8,10,11,13,14],[3,5,6,9,10,11,12],[3,5,7,8,9,11,13],[4,5,6,9,10,12,13]]; G[7786]:=Group([(1,6)(2,3)(4,13)(5,14)(7,10)(11,12)]); # Design 7787: autom. group order 2, simple, residual B[7787]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,8,9,10,11,14],[1,3,5,8,10,12,13],[1,3,7,9,11,12,14],[1,4,6,7,9,10,13],[1,4,6,9,11,12,13],[1,4,7,8,12,13,14],[1,5,6,7,9,10,14],[1,5,6,8,11,12,14],[2,3,6,7,11,12,13],[2,3,6,8,9,13,14],[2,4,5,7,10,12,14],[2,4,5,9,12,13,14],[2,4,6,7,8,11,14],[2,5,6,9,10,11,12],[2,7,8,9,10,12,13],[3,4,5,9,11,13,14],[3,4,6,8,10,12,14],[3,4,7,8,9,10,11],[3,5,6,7,8,9,12],[3,5,7,10,11,13,14],[4,5,6,8,10,11,13]]; G[7787]:=Group([(1,6)(2,3)(4,13)(5,14)(7,10)(11,12)]); # Design 7788: autom. group order 2, simple, residual B[7788]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,7,9,11,12,14],[1,3,5,7,8,12,14],[1,3,7,9,11,13,14],[1,4,6,8,12,13,14],[1,4,6,9,10,12,14],[1,4,7,8,9,10,11],[1,5,6,7,9,10,13],[1,5,6,8,11,12,13],[2,3,6,7,11,12,13],[2,3,6,8,9,10,12],[2,4,5,7,10,13,14],[2,4,5,9,12,13,14],[2,4,6,7,8,11,14],[2,5,6,8,9,11,14],[2,7,8,9,10,12,13],[3,4,5,9,11,12,13],[3,4,6,7,8,9,13],[3,4,8,10,11,13,14],[3,5,6,9,10,11,14],[3,5,7,8,10,12,14],[4,5,6,7,10,11,12]]; G[7788]:=Group([(2,9)(3,7)(4,11)(5,14)(6,13)(8,12)]); # Design 7789: autom. group order 2, simple, residual B[7789]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,7,9,11,12,14],[1,3,5,7,8,12,13],[1,3,8,9,10,12,14],[1,4,6,7,9,10,13],[1,4,6,9,11,12,13],[1,4,7,8,11,13,14],[1,5,6,7,9,10,14],[1,5,6,8,11,12,14],[2,3,6,7,11,12,13],[2,3,6,8,9,13,14],[2,4,5,7,10,12,14],[2,4,5,9,12,13,14],[2,4,6,8,10,11,14],[2,5,6,7,8,9,11],[2,7,8,9,10,12,13],[3,4,5,9,11,13,14],[3,4,6,7,8,12,14],[3,4,7,8,9,10,11],[3,5,6,9,10,11,12],[3,5,7,10,11,13,14],[4,5,6,8,10,12,13]]; G[7789]:=Group([(1,6)(2,3)(4,13)(5,14)(7,10)(11,12)]); # Design 7790: autom. group order 2, simple B[7790]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,8,9,10,13,14],[1,3,5,7,9,11,14],[1,3,7,8,11,13,14],[1,4,6,7,8,9,12],[1,4,6,10,11,12,14],[1,4,7,9,12,13,14],[1,5,6,7,10,12,13],[1,5,6,8,9,10,11],[2,3,6,7,8,12,13],[2,3,6,9,11,12,14],[2,4,5,7,10,11,13],[2,4,5,9,12,13,14],[2,4,6,7,8,11,14],[2,5,6,7,9,10,14],[2,7,8,9,10,11,12],[3,4,5,8,10,12,14],[3,4,6,8,9,10,13],[3,4,7,9,10,11,13],[3,5,6,9,11,12,13],[3,5,7,8,10,12,14],[4,5,6,8,11,13,14]]; G[7790]:=Group([(1,11)(2,6)(3,14)(5,8)(9,13)(10,12)]); # Design 7791: autom. group order 2, simple, residual B[7791]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,9,10,11,13],[1,3,5,8,9,10,14],[1,3,7,8,11,13,14],[1,4,6,8,11,12,14],[1,4,6,9,12,13,14],[1,4,7,9,10,12,13],[1,5,6,7,8,10,12],[1,5,6,7,9,11,14],[2,3,6,7,9,12,14],[2,3,6,8,9,12,13],[2,4,5,7,10,12,14],[2,4,5,9,11,13,14],[2,4,6,8,10,11,14],[2,5,7,8,12,13,14],[2,6,7,8,9,10,11],[3,4,5,6,7,11,13],[3,4,7,8,9,11,12],[3,4,7,8,10,13,14],[3,5,6,10,11,12,13],[3,5,9,10,11,12,14],[4,5,6,8,9,10,13]]; G[7791]:=Group([(1,11)(2,12)(4,10)(6,9)(7,14)(8,13)]); # Design 7792: autom. group order 2, simple, residual B[7792]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,7,9,10,11,14],[1,3,5,9,12,13,14],[1,3,7,9,10,12,14],[1,4,6,8,9,10,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,13],[1,5,6,7,8,10,13],[1,5,6,8,9,11,12],[2,3,6,7,9,12,13],[2,3,6,8,10,11,12],[2,4,5,7,8,12,14],[2,4,5,9,11,13,14],[2,4,8,9,10,12,13],[2,5,6,10,12,13,14],[2,6,7,8,9,11,14],[3,4,5,6,10,11,14],[3,4,6,7,9,11,13],[3,4,7,8,10,13,14],[3,5,7,8,11,12,14],[3,5,8,9,10,11,13],[4,5,6,7,9,10,12]]; G[7792]:=Group([(2,11)(3,12)(5,13)(6,8)(9,14)]); # Design 7793: autom. group order 2, simple, residual B[7793]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,7,9,10,11,14],[1,3,5,7,12,13,14],[1,3,7,9,10,12,14],[1,4,6,7,8,10,14],[1,4,6,9,11,12,13],[1,4,8,11,12,13,14],[1,5,6,7,8,11,12],[1,5,6,8,9,10,13],[2,3,6,8,10,11,12],[2,3,6,9,12,13,14],[2,4,5,7,11,13,14],[2,4,5,8,9,12,14],[2,4,7,8,10,12,13],[2,5,6,7,10,12,13],[2,6,7,8,9,11,14],[3,4,5,6,10,11,14],[3,4,6,7,9,11,13],[3,4,7,8,9,10,13],[3,5,7,8,9,11,12],[3,5,8,10,11,13,14],[4,5,6,9,10,12,14]]; G[7793]:=Group([(2,11)(3,12)(5,13)(6,8)(7,14)]); # Design 7794: autom. group order 2, simple, residual B[7794]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,7,9,10,11,14],[1,3,5,7,12,13,14],[1,3,7,9,10,12,14],[1,4,6,7,8,10,14],[1,4,6,9,11,12,13],[1,4,8,11,12,13,14],[1,5,6,7,8,11,12],[1,5,6,8,9,10,13],[2,3,6,8,10,11,12],[2,3,6,9,12,13,14],[2,4,5,7,11,13,14],[2,4,5,8,10,12,14],[2,4,7,8,9,12,13],[2,5,6,7,10,12,13],[2,6,7,8,9,11,14],[3,4,5,6,9,11,14],[3,4,6,7,10,11,13],[3,4,7,8,9,10,13],[3,5,7,8,9,11,12],[3,5,8,10,11,13,14],[4,5,6,9,10,12,14]]; G[7794]:=Group([(2,11)(3,12)(5,13)(6,8)(7,14)]); # Design 7795: autom. group order 2, simple, residual B[7795]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,10,13,14],[1,2,7,8,12,13,14],[1,3,5,9,11,12,14],[1,3,7,8,9,12,13],[1,4,6,8,9,10,13],[1,4,6,11,12,13,14],[1,4,7,8,10,11,14],[1,5,6,7,8,9,11],[1,5,6,9,10,12,14],[2,3,6,7,9,10,14],[2,3,8,9,11,13,14],[2,4,5,6,8,12,14],[2,4,5,9,11,13,14],[2,4,6,7,9,12,13],[2,5,7,8,10,11,12],[2,6,8,9,10,11,12],[3,4,5,8,10,12,13],[3,4,6,7,8,11,14],[3,4,7,9,10,12,14],[3,5,6,7,11,12,13],[3,5,6,8,10,13,14],[4,5,7,9,10,11,13]]; G[7795]:=Group([(1,11)(3,10)(4,12)(5,8)(7,9)]); # Design 7796: autom. group order 2, simple, residual B[7796]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,9,12,13,14],[1,3,5,8,10,12,14],[1,3,7,9,11,12,13],[1,4,6,8,11,13,14],[1,4,6,9,10,11,13],[1,4,7,8,9,10,12],[1,5,6,7,9,10,14],[1,5,6,8,11,12,14],[2,3,6,7,11,12,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,13],[2,4,5,9,11,12,14],[2,4,6,7,8,9,14],[2,5,7,8,10,11,13],[2,6,8,9,10,11,12],[3,4,5,9,11,13,14],[3,4,6,7,8,12,13],[3,4,7,8,10,11,14],[3,5,6,7,9,10,11],[3,5,6,8,9,12,13],[4,5,7,10,12,13,14]]; G[7796]:=Group([(2,7)(3,9)(4,12)(5,13)(6,14)(8,11)]); # Design 7797: autom. group order 2, simple B[7797]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,9,10,14],[1,2,7,8,10,13,14],[1,3,5,7,11,12,14],[1,3,7,9,12,13,14],[1,4,6,7,9,11,14],[1,4,6,8,10,12,14],[1,4,8,9,11,12,13],[1,5,6,7,9,10,13],[1,5,6,8,11,12,13],[2,3,6,8,11,13,14],[2,3,7,8,9,12,13],[2,4,5,6,9,12,13],[2,4,5,7,11,13,14],[2,4,6,7,8,12,14],[2,5,9,10,11,12,14],[2,6,7,9,10,11,12],[3,4,5,10,12,13,14],[3,4,6,9,10,13,14],[3,4,7,8,9,10,11],[3,5,6,7,8,10,12],[3,5,6,8,9,11,14],[4,5,7,8,10,11,13]]; G[7797]:=Group([(1,10)(3,11)(4,12)(5,9)(8,14)]); # Design 7798: autom. group order 2, simple, residual B[7798]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,7,9,12,13,14],[1,3,5,7,11,12,14],[1,3,7,8,9,12,13],[1,4,6,8,11,12,13],[1,4,6,9,10,13,14],[1,4,7,9,10,11,14],[1,5,6,7,8,9,11],[1,5,6,8,10,12,14],[2,3,6,7,8,10,14],[2,3,8,9,11,13,14],[2,4,5,6,9,12,14],[2,4,5,7,11,13,14],[2,4,6,7,8,12,13],[2,5,8,9,10,11,12],[2,6,7,9,10,11,12],[3,4,5,9,10,12,13],[3,4,6,8,9,11,14],[3,4,7,8,10,12,14],[3,5,6,7,9,10,13],[3,5,6,11,12,13,14],[4,5,7,8,10,11,13]]; G[7798]:=Group([(1,11)(3,10)(4,12)(5,9)]); # Design 7799: autom. group order 2, simple, residual B[7799]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,9,10,14],[1,2,7,8,10,13,14],[1,3,5,7,11,12,14],[1,3,7,9,12,13,14],[1,4,6,8,9,11,14],[1,4,6,9,11,13,14],[1,4,7,9,10,12,13],[1,5,6,7,8,11,12],[1,5,6,8,10,12,13],[2,3,6,8,12,13,14],[2,3,7,8,9,11,13],[2,4,5,6,12,13,14],[2,4,5,7,11,13,14],[2,4,6,7,9,10,12],[2,5,9,10,11,12,14],[2,6,7,8,9,11,12],[3,4,5,8,9,12,13],[3,4,6,7,8,10,14],[3,4,8,10,11,12,14],[3,5,6,7,9,10,14],[3,5,6,9,10,11,13],[4,5,7,8,10,11,13]]; G[7799]:=Group([(1,9)(2,5)(3,10)(4,14)(6,11)(7,12)]); # Design 7800: autom. group order 2, simple B[7800]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,9,10,14],[1,2,7,8,10,13,14],[1,3,5,7,11,12,14],[1,3,7,9,12,13,14],[1,4,6,8,10,12,14],[1,4,6,9,11,13,14],[1,4,8,9,11,12,13],[1,5,6,7,8,11,12],[1,5,6,7,9,10,13],[2,3,6,8,11,13,14],[2,3,7,8,9,12,13],[2,4,5,6,9,12,13],[2,4,5,7,11,13,14],[2,4,6,7,8,12,14],[2,5,9,10,11,12,14],[2,6,7,9,10,11,12],[3,4,5,10,12,13,14],[3,4,6,7,9,10,14],[3,4,7,8,9,10,11],[3,5,6,8,9,11,14],[3,5,6,8,10,12,13],[4,5,7,8,10,11,13]]; G[7800]:=Group([(1,10)(3,11)(4,12)(5,9)(8,14)]); # Design 7801: autom. group order 2, simple B[7801]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,8,9,10,12],[1,3,5,7,11,12,13],[1,3,9,10,11,13,14],[1,4,6,7,9,11,14],[1,4,6,9,10,12,13],[1,4,7,8,12,13,14],[1,5,6,7,8,10,11],[1,5,6,8,9,12,14],[2,3,6,8,9,11,12],[2,3,7,8,9,13,14],[2,4,5,6,12,13,14],[2,4,5,7,9,10,13],[2,4,6,8,10,11,14],[2,5,7,10,11,12,14],[2,6,7,9,11,12,13],[3,4,5,9,11,12,14],[3,4,6,7,8,11,13],[3,4,7,8,10,12,14],[3,5,6,7,9,10,14],[3,5,6,8,10,12,13],[4,5,8,9,10,11,13]]; G[7801]:=Group([(1,10)(2,9)(3,13)(6,11)(7,8)]); # Design 7802: autom. group order 2, simple, residual B[7802]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,9,11,12,14],[1,3,5,9,11,13,14],[1,3,7,8,9,10,12],[1,4,6,7,9,11,14],[1,4,6,8,9,12,13],[1,4,7,8,10,13,14],[1,5,6,7,10,11,13],[1,5,6,8,10,12,14],[2,3,6,7,8,9,13],[2,3,7,8,10,11,14],[2,4,5,6,8,11,14],[2,4,5,7,10,12,13],[2,4,6,9,10,12,14],[2,5,7,9,12,13,14],[2,6,8,9,10,11,13],[3,4,5,9,10,13,14],[3,4,6,7,11,12,13],[3,4,8,11,12,13,14],[3,5,6,7,8,12,14],[3,5,6,9,10,11,12],[4,5,7,8,9,10,11]]; G[7802]:=Group([(1,11)(2,12)(5,13)(9,14)]); # Design 7803: autom. group order 2, simple, residual B[7803]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,8,9,10,11],[1,3,5,8,12,13,14],[1,3,7,9,10,12,13],[1,4,6,7,8,9,13],[1,4,6,9,11,12,14],[1,4,7,8,11,12,14],[1,5,6,7,9,10,14],[1,5,6,10,11,12,13],[2,3,6,7,8,12,14],[2,3,7,9,11,12,13],[2,4,5,6,9,12,13],[2,4,5,7,10,12,14],[2,4,6,8,10,11,13],[2,5,7,9,11,13,14],[2,6,8,9,10,12,14],[3,4,5,9,10,11,14],[3,4,6,7,11,13,14],[3,4,8,9,10,13,14],[3,5,6,7,8,10,11],[3,5,6,8,9,11,12],[4,5,7,8,10,12,13]]; G[7803]:=Group([(2,11)(3,12)(5,14)(7,9)]); # Design 7804: autom. group order 2, simple, residual B[7804]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,9,10,14],[1,2,7,8,10,13,14],[1,3,5,11,12,13,14],[1,3,7,9,12,13,14],[1,4,6,7,9,11,14],[1,4,6,8,10,12,14],[1,4,7,8,9,11,12],[1,5,6,7,9,10,13],[1,5,6,8,11,12,13],[2,3,6,7,8,11,14],[2,3,7,8,9,12,13],[2,4,5,6,9,12,13],[2,4,5,7,11,13,14],[2,4,6,8,12,13,14],[2,5,9,10,11,12,14],[2,6,7,9,10,11,12],[3,4,5,7,10,12,14],[3,4,6,9,10,13,14],[3,4,8,9,10,11,13],[3,5,6,7,8,10,12],[3,5,6,8,9,11,14],[4,5,7,8,10,11,13]]; G[7804]:=Group([(1,10)(3,11)(4,12)(5,9)(8,14)]); # Design 7805: autom. group order 2, simple, residual B[7805]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,8,9,10,11],[1,3,5,8,12,13,14],[1,3,7,9,10,12,13],[1,4,6,7,8,9,13],[1,4,6,9,11,12,14],[1,4,7,8,11,12,14],[1,5,6,7,9,10,14],[1,5,6,10,11,12,13],[2,3,6,8,9,12,14],[2,3,7,9,11,12,13],[2,4,5,6,7,12,13],[2,4,5,9,10,12,14],[2,4,6,8,10,11,13],[2,5,7,9,11,13,14],[2,6,7,8,10,12,14],[3,4,5,7,10,11,14],[3,4,6,9,11,13,14],[3,4,7,8,10,13,14],[3,5,6,7,8,11,12],[3,5,6,8,9,10,11],[4,5,8,9,10,12,13]]; G[7805]:=Group([(2,11)(3,12)(5,14)(7,9)]); # Design 7806: autom. group order 2, simple, residual B[7806]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,9,10,14],[1,2,7,8,10,13,14],[1,3,5,11,12,13,14],[1,3,7,9,12,13,14],[1,4,6,8,10,12,14],[1,4,6,9,11,13,14],[1,4,7,8,9,11,12],[1,5,6,7,8,11,12],[1,5,6,7,9,10,13],[2,3,6,7,8,11,14],[2,3,7,8,9,12,13],[2,4,5,6,9,12,13],[2,4,5,7,11,13,14],[2,4,6,8,12,13,14],[2,5,9,10,11,12,14],[2,6,7,9,10,11,12],[3,4,5,7,10,12,14],[3,4,6,7,9,10,14],[3,4,8,9,10,11,13],[3,5,6,8,9,11,14],[3,5,6,8,10,12,13],[4,5,7,8,10,11,13]]; G[7806]:=Group([(1,10)(3,11)(4,12)(5,9)(8,14)]); # Design 7807: autom. group order 2, simple B[7807]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,12,13],[1,2,7,9,10,11,14],[1,3,5,9,12,13,14],[1,3,7,8,10,13,14],[1,4,6,8,9,10,13],[1,4,6,11,12,13,14],[1,4,7,8,9,11,12],[1,5,6,7,9,11,14],[1,5,6,8,10,12,14],[2,3,6,8,9,12,14],[2,3,8,9,11,13,14],[2,4,5,6,8,11,14],[2,4,5,10,12,13,14],[2,4,7,9,10,12,14],[2,5,6,7,9,10,13],[2,6,7,8,11,12,13],[3,4,5,7,11,13,14],[3,4,6,7,8,10,14],[3,4,6,7,9,12,13],[3,5,6,9,10,11,12],[3,5,7,8,10,11,12],[4,5,8,9,10,11,13]]; G[7807]:=Group([(1,11)(2,10)(4,12)(7,9)]); # Design 7808: autom. group order 2, simple B[7808]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,10,11,13],[1,2,8,9,10,12,14],[1,3,5,7,8,12,14],[1,3,7,9,12,13,14],[1,4,6,8,11,13,14],[1,4,6,9,10,12,13],[1,4,7,8,11,12,13],[1,5,6,7,9,10,11],[1,5,6,8,9,11,14],[2,3,6,8,9,11,13],[2,3,7,9,11,13,14],[2,4,5,6,12,13,14],[2,4,5,9,11,12,14],[2,4,7,8,10,11,14],[2,5,6,7,8,12,13],[2,6,7,8,9,10,12],[3,4,5,8,9,10,13],[3,4,6,7,8,10,14],[3,4,6,7,9,11,12],[3,5,6,10,11,12,14],[3,5,8,10,11,12,13],[4,5,7,9,10,13,14]]; G[7808]:=Group([(1,12)(2,11)(4,10)(7,14)(9,13)]); # Design 7809: autom. group order 2, simple B[7809]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,10,11,13],[1,2,8,9,11,12,13],[1,3,5,7,8,12,14],[1,3,7,9,12,13,14],[1,4,6,8,11,13,14],[1,4,6,9,10,12,13],[1,4,7,8,10,12,14],[1,5,6,7,9,10,11],[1,5,6,8,9,11,14],[2,3,6,8,9,10,14],[2,3,7,9,11,13,14],[2,4,5,6,12,13,14],[2,4,5,9,11,12,14],[2,4,7,8,10,11,14],[2,5,6,7,8,12,13],[2,6,7,8,9,10,12],[3,4,5,8,9,10,13],[3,4,6,7,8,11,13],[3,4,6,7,9,11,12],[3,5,6,10,11,12,14],[3,5,8,10,11,12,13],[4,5,7,9,10,13,14]]; G[7809]:=Group([(1,12)(2,11)(4,10)(7,14)(9,13)]); # Design 7810: autom. group order 2, simple, residual B[7810]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,8,9,10,11,13],[1,3,5,7,8,10,14],[1,3,7,9,11,13,14],[1,4,6,8,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,11,12,14],[1,5,6,7,9,10,12],[1,5,6,8,9,12,13],[2,3,6,8,9,12,14],[2,3,7,9,12,13,14],[2,4,5,6,11,13,14],[2,4,5,9,10,12,14],[2,4,7,8,10,12,13],[2,5,6,7,8,11,14],[2,6,7,8,9,10,11],[3,4,5,8,9,11,13],[3,4,6,7,8,10,13],[3,4,6,7,9,11,12],[3,5,6,10,11,12,13],[3,5,8,10,11,12,14],[4,5,7,9,10,13,14]]; G[7810]:=Group([(1,11)(2,12)(4,10)(7,13)(9,14)]); # Design 7811: autom. group order 2, simple B[7811]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,8,9,11,12,14],[1,3,5,7,8,10,14],[1,3,7,9,11,13,14],[1,4,6,8,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,10,11,13],[1,5,6,7,9,10,12],[1,5,6,8,9,12,13],[2,3,6,8,9,10,13],[2,3,7,9,12,13,14],[2,4,5,6,11,13,14],[2,4,5,9,10,12,14],[2,4,7,8,10,12,13],[2,5,6,7,8,11,14],[2,6,7,8,9,10,11],[3,4,5,8,9,11,13],[3,4,6,7,8,12,14],[3,4,6,7,9,11,12],[3,5,6,10,11,12,13],[3,5,8,10,11,12,14],[4,5,7,9,10,13,14]]; G[7811]:=Group([(1,11)(2,12)(4,10)(7,13)(9,14)]); # Design 7812: autom. group order 2, simple, residual B[7812]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,8,9,10,12,13],[1,3,5,8,11,13,14],[1,3,7,8,9,11,14],[1,4,6,7,9,10,14],[1,4,6,8,11,12,14],[1,4,7,9,11,12,13],[1,5,6,7,8,10,12],[1,5,6,9,10,13,14],[2,3,6,9,12,13,14],[2,3,7,8,9,10,14],[2,4,5,6,9,11,14],[2,4,5,8,10,12,14],[2,4,7,10,11,13,14],[2,5,6,7,8,11,13],[2,6,7,8,9,11,12],[3,4,5,7,9,12,13],[3,4,6,7,8,10,13],[3,4,6,8,12,13,14],[3,5,6,9,10,11,12],[3,5,7,10,11,12,14],[4,5,8,9,10,11,13]]; G[7812]:=Group([(1,11)(2,10)(4,12)(7,9)(8,14)]); # Design 7813: autom. group order 2, simple B[7813]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,8,10,11,14],[1,3,5,7,9,10,13],[1,3,7,8,9,11,14],[1,4,6,7,9,11,12],[1,4,6,9,10,12,14],[1,4,7,8,12,13,14],[1,5,6,8,10,12,13],[1,5,6,9,11,13,14],[2,3,6,9,11,12,13],[2,3,7,9,12,13,14],[2,4,5,6,8,9,14],[2,4,5,7,12,13,14],[2,4,8,9,10,11,13],[2,5,6,7,10,11,14],[2,6,7,8,9,10,12],[3,4,5,10,11,12,14],[3,4,6,7,8,10,13],[3,4,6,8,11,13,14],[3,5,6,7,8,11,12],[3,5,8,9,10,12,14],[4,5,7,9,10,11,13]]; G[7813]:=Group([(1,8)(3,9)(7,14)(12,13)]); # Design 7814: autom. group order 2, simple, residual B[7814]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,7,9,10,12,13],[1,3,5,7,12,13,14],[1,3,7,8,9,10,14],[1,4,6,7,8,11,14],[1,4,6,9,10,12,14],[1,4,8,10,11,13,14],[1,5,6,7,9,11,13],[1,5,6,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,8,9,11,14],[2,4,5,6,7,10,14],[2,4,5,9,11,12,14],[2,4,7,8,11,12,13],[2,5,6,8,10,13,14],[2,6,7,8,9,10,12],[3,4,5,8,9,10,13],[3,4,6,7,8,12,13],[3,4,6,9,12,13,14],[3,5,6,8,10,11,12],[3,5,7,10,11,12,14],[4,5,7,9,10,11,13]]; G[7814]:=Group([(1,10)(2,11)(4,12)(7,8)(9,14)]); # Design 7815: autom. group order 2, simple, residual B[7815]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,8,9,12,13],[1,3,5,7,9,11,14],[1,3,7,8,10,12,14],[1,4,6,7,11,12,13],[1,4,6,8,9,10,14],[1,4,9,11,12,13,14],[1,5,6,7,9,10,13],[1,5,6,8,10,11,12],[2,3,6,9,11,13,14],[2,3,7,9,10,11,12],[2,4,5,6,7,12,14],[2,4,5,10,12,13,14],[2,4,7,8,9,10,13],[2,5,6,8,9,11,12],[2,6,7,8,10,11,14],[3,4,5,8,10,11,13],[3,4,6,7,8,11,13],[3,4,6,8,9,12,14],[3,5,6,9,10,12,13],[3,5,7,8,12,13,14],[4,5,7,9,10,11,14]]; G[7815]:=Group([(2,11)(3,12)(5,13)(8,14)]); # Design 7816: autom. group order 2, simple, residual B[7816]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,8,9,12,13],[1,3,5,7,9,11,14],[1,3,7,8,10,12,14],[1,4,6,7,11,12,13],[1,4,6,8,9,10,14],[1,4,9,11,12,13,14],[1,5,6,7,9,10,13],[1,5,6,8,10,11,12],[2,3,6,8,9,11,13],[2,3,7,9,10,11,12],[2,4,5,6,7,12,14],[2,4,5,8,10,12,13],[2,4,7,9,10,13,14],[2,5,6,9,11,12,14],[2,6,7,8,10,11,14],[3,4,5,10,11,13,14],[3,4,6,7,8,11,13],[3,4,6,8,9,12,14],[3,5,6,9,10,12,13],[3,5,7,8,12,13,14],[4,5,7,8,9,10,11]]; G[7816]:=Group([(2,11)(3,12)(5,13)(8,14)]); # Design 7817: autom. group order 2, simple, residual B[7817]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,12,14],[1,2,7,8,9,12,13],[1,3,5,7,9,12,14],[1,3,7,8,11,13,14],[1,4,6,7,9,11,14],[1,4,6,9,10,12,14],[1,4,8,9,10,11,13],[1,5,6,7,8,10,13],[1,5,6,11,12,13,14],[2,3,6,8,11,12,14],[2,3,7,9,10,13,14],[2,4,5,6,8,13,14],[2,4,5,9,11,13,14],[2,4,7,10,12,13,14],[2,5,6,7,9,10,11],[2,6,7,8,9,11,12],[3,4,5,7,11,12,13],[3,4,6,7,8,10,14],[3,4,6,8,9,12,13],[3,5,6,9,10,12,13],[3,5,8,9,10,11,14],[4,5,7,8,10,11,12]]; G[7817]:=Group([(1,14)(3,13)(6,9)(7,11)]); # Design 7818: autom. group order 2, simple B[7818]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,8,10,11,14],[1,3,5,7,9,10,13],[1,3,7,8,9,11,14],[1,4,6,9,10,12,14],[1,4,6,9,11,13,14],[1,4,7,8,12,13,14],[1,5,6,7,9,11,12],[1,5,6,8,10,12,13],[2,3,6,9,11,12,13],[2,3,7,9,12,13,14],[2,4,5,6,8,9,14],[2,4,5,7,12,13,14],[2,4,8,9,10,11,13],[2,5,6,7,10,11,14],[2,6,7,8,9,10,12],[3,4,5,10,11,12,14],[3,4,6,7,8,10,13],[3,4,6,7,8,11,12],[3,5,6,8,11,13,14],[3,5,8,9,10,12,14],[4,5,7,9,10,11,13]]; G[7818]:=Group([(1,8)(3,9)(7,14)(12,13)]); # Design 7819: autom. group order 2, simple B[7819]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,9,12,13],[1,2,7,8,10,11,14],[1,3,5,7,12,13,14],[1,3,8,9,10,13,14],[1,4,6,7,9,10,13],[1,4,6,11,12,13,14],[1,4,7,8,9,11,12],[1,5,6,7,8,11,14],[1,5,6,9,10,12,14],[2,3,6,7,9,12,14],[2,3,7,9,11,13,14],[2,4,5,6,9,11,14],[2,4,5,10,12,13,14],[2,4,7,8,10,12,14],[2,5,6,7,8,10,13],[2,6,8,9,11,12,13],[3,4,5,8,11,13,14],[3,4,6,7,8,12,13],[3,4,6,8,9,10,14],[3,5,6,8,10,11,12],[3,5,7,9,10,11,12],[4,5,7,9,10,11,13]]; G[7819]:=Group([(1,11)(2,10)(4,12)(7,8)]); # Design 7820: autom. group order 2, simple, residual B[7820]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,9,10,11,13],[1,3,5,8,12,13,14],[1,3,7,8,9,10,12],[1,4,6,7,8,9,13],[1,4,6,9,11,12,14],[1,4,7,8,11,12,14],[1,5,6,7,9,10,14],[1,5,6,10,11,12,13],[2,3,6,7,8,11,14],[2,3,7,9,11,12,13],[2,4,5,6,7,12,13],[2,4,5,9,10,12,14],[2,4,8,9,10,13,14],[2,5,6,8,9,11,12],[2,6,7,8,10,12,14],[3,4,5,7,10,11,14],[3,4,6,8,10,12,13],[3,4,6,9,11,13,14],[3,5,6,8,9,10,11],[3,5,7,9,12,13,14],[4,5,7,8,10,11,13]]; G[7820]:=Group([(2,11)(3,12)(5,14)(7,9)]); # Design 7821: autom. group order 2, simple, residual B[7821]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,9,10,11,13],[1,3,5,8,12,13,14],[1,3,7,8,9,10,12],[1,4,6,7,8,9,13],[1,4,6,9,11,12,14],[1,4,7,8,11,12,14],[1,5,6,7,9,10,14],[1,5,6,10,11,12,13],[2,3,6,8,9,11,14],[2,3,7,9,11,12,13],[2,4,5,6,9,12,13],[2,4,5,7,10,12,14],[2,4,7,8,10,13,14],[2,5,6,7,8,11,12],[2,6,8,9,10,12,14],[3,4,5,9,10,11,14],[3,4,6,7,11,13,14],[3,4,6,8,10,12,13],[3,5,6,7,8,10,11],[3,5,7,9,12,13,14],[4,5,8,9,10,11,13]]; G[7821]:=Group([(2,11)(3,12)(5,14)(7,9)]); # Design 7822: autom. group order 2, simple B[7822]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,8,10,11,14],[1,3,5,9,10,12,14],[1,3,7,8,9,11,14],[1,4,6,7,9,10,13],[1,4,6,9,11,13,14],[1,4,7,8,12,13,14],[1,5,6,7,9,11,12],[1,5,6,8,10,12,13],[2,3,6,9,11,12,13],[2,3,7,9,12,13,14],[2,4,5,6,8,9,14],[2,4,5,7,12,13,14],[2,4,8,9,10,11,13],[2,5,6,7,10,11,14],[2,6,7,8,9,10,12],[3,4,5,7,10,11,13],[3,4,6,7,8,11,12],[3,4,6,8,10,12,14],[3,5,6,8,11,13,14],[3,5,7,8,9,10,13],[4,5,9,10,11,12,14]]; G[7822]:=Group([(1,8)(3,9)(7,14)(12,13)]); # Design 7823: autom. group order 2, simple, residual B[7823]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,7,9,11,12,13],[1,3,5,8,9,12,14],[1,3,7,8,12,13,14],[1,4,6,8,10,12,14],[1,4,6,9,11,13,14],[1,4,7,9,10,11,14],[1,5,6,7,8,10,11],[1,5,6,7,9,12,13],[2,3,6,7,9,10,14],[2,3,7,8,11,13,14],[2,4,5,6,12,13,14],[2,4,5,7,11,12,14],[2,4,8,9,10,12,13],[2,5,6,8,9,11,14],[2,6,7,8,9,10,12],[3,4,5,7,9,10,13],[3,4,6,7,8,11,12],[3,4,6,8,9,11,13],[3,5,6,10,11,12,13],[3,5,9,10,11,12,14],[4,5,7,8,10,13,14]]; G[7823]:=Group([(1,12)(2,11)(4,10)(7,13)(8,14)]); # Design 7824: autom. group order 2, simple B[7824]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,7,9,11,12,13],[1,3,5,8,9,12,14],[1,3,7,8,12,13,14],[1,4,6,8,10,12,14],[1,4,6,9,11,13,14],[1,4,7,9,10,12,13],[1,5,6,7,8,10,11],[1,5,6,7,9,11,14],[2,3,6,7,9,10,14],[2,3,7,8,11,13,14],[2,4,5,6,12,13,14],[2,4,5,7,11,12,14],[2,4,8,9,10,11,14],[2,5,6,8,9,12,13],[2,6,7,8,9,10,12],[3,4,5,7,9,10,13],[3,4,6,7,8,11,12],[3,4,6,8,9,11,13],[3,5,6,10,11,12,13],[3,5,9,10,11,12,14],[4,5,7,8,10,13,14]]; G[7824]:=Group([(1,12)(2,11)(4,10)(7,13)(8,14)]); # Design 7825: autom. group order 2, simple, residual B[7825]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,9,11,12,14],[1,3,5,8,9,10,14],[1,3,7,8,11,13,14],[1,4,6,8,10,11,13],[1,4,6,9,12,13,14],[1,4,7,9,10,11,14],[1,5,6,7,8,10,12],[1,5,6,7,9,12,13],[2,3,6,7,9,10,13],[2,3,7,8,12,13,14],[2,4,5,6,11,13,14],[2,4,5,7,10,12,14],[2,4,8,9,10,12,13],[2,5,6,8,9,11,14],[2,6,7,8,9,10,11],[3,4,5,7,9,11,13],[3,4,6,7,8,11,12],[3,4,6,8,9,12,14],[3,5,6,10,11,12,14],[3,5,9,10,11,12,13],[4,5,7,8,10,13,14]]; G[7825]:=Group([(1,11)(2,12)(4,10)(7,14)(8,13)]); # Design 7826: autom. group order 2, simple, residual B[7826]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,9,11,12,14],[1,3,5,8,9,10,14],[1,3,7,8,11,13,14],[1,4,6,8,10,11,13],[1,4,6,9,12,13,14],[1,4,7,9,10,12,13],[1,5,6,7,8,10,12],[1,5,6,7,9,11,14],[2,3,6,7,9,10,13],[2,3,7,8,12,13,14],[2,4,5,6,11,13,14],[2,4,5,7,10,12,14],[2,4,8,9,10,11,14],[2,5,6,8,9,12,13],[2,6,7,8,9,10,11],[3,4,5,7,9,11,13],[3,4,6,7,8,11,12],[3,4,6,8,9,12,14],[3,5,6,10,11,12,14],[3,5,9,10,11,12,13],[4,5,7,8,10,13,14]]; G[7826]:=Group([(1,11)(2,12)(4,10)(7,14)(8,13)]); # Design 7827: autom. group order 2, simple, residual B[7827]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,8,10,11,13,14],[1,3,5,7,9,11,14],[1,3,7,8,9,10,13],[1,4,6,7,8,12,14],[1,4,6,9,11,12,13],[1,4,7,8,10,12,14],[1,5,6,8,9,11,14],[1,5,6,9,10,12,13],[2,3,6,8,9,12,14],[2,3,7,9,12,13,14],[2,4,5,8,11,13,14],[2,4,5,9,10,12,14],[2,4,6,7,9,10,11],[2,5,6,7,8,12,13],[2,6,7,8,9,10,11],[3,4,5,6,8,10,13],[3,4,6,7,11,13,14],[3,4,8,9,11,12,13],[3,5,6,10,11,12,14],[3,5,7,8,10,11,12],[4,5,7,9,10,13,14]]; G[7827]:=Group([(1,11)(2,12)(4,10)(6,8)(9,14)]); # Design 7828: autom. group order 2, simple, residual B[7828]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,8,11,12,13,14],[1,3,5,9,10,13,14],[1,3,7,8,9,11,14],[1,4,6,7,9,11,13],[1,4,6,8,9,10,12],[1,4,7,8,10,12,14],[1,5,6,7,10,11,14],[1,5,6,8,9,12,13],[2,3,6,7,8,12,14],[2,3,7,8,9,10,13],[2,4,5,7,9,12,14],[2,4,5,8,10,11,13],[2,4,6,9,10,11,14],[2,5,6,8,9,11,14],[2,6,7,9,10,12,13],[3,4,5,6,12,13,14],[3,4,6,7,8,11,13],[3,4,9,11,12,13,14],[3,5,6,8,10,11,12],[3,5,7,9,10,11,12],[4,5,7,8,10,13,14]]; G[7828]:=Group([(1,12)(2,11)(4,10)(6,9)]); # Design 7829: autom. group order 2, simple B[7829]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,8,9,10,12,13],[1,3,5,8,9,11,13],[1,3,7,8,11,12,14],[1,4,6,7,9,10,11],[1,4,6,8,9,12,14],[1,4,7,8,10,13,14],[1,5,6,7,9,12,13],[1,5,6,10,11,12,14],[2,3,6,7,8,10,12],[2,3,7,9,12,13,14],[2,4,5,7,9,10,14],[2,4,5,8,11,12,14],[2,4,6,9,11,12,13],[2,5,6,8,10,11,13],[2,6,7,8,9,11,14],[3,4,5,6,12,13,14],[3,4,6,7,8,11,13],[3,4,9,10,11,13,14],[3,5,6,8,9,10,14],[3,5,7,9,10,11,12],[4,5,7,8,10,12,13]]; G[7829]:=Group([(1,5)(2,9)(4,8)(6,11)(7,13)(12,14)]); # Design 7830: autom. group order 2, simple, residual B[7830]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,8,9,11,13,14],[1,3,5,10,12,13,14],[1,3,7,8,9,11,14],[1,4,6,7,8,12,14],[1,4,6,9,10,11,13],[1,4,7,9,10,12,14],[1,5,6,7,8,10,11],[1,5,6,8,9,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,10,13],[2,4,5,7,11,13,14],[2,4,5,8,9,10,12],[2,4,6,8,10,11,14],[2,5,6,9,11,12,14],[2,6,7,8,10,12,13],[3,4,5,6,8,13,14],[3,4,6,9,11,12,13],[3,4,7,8,11,12,13],[3,5,6,7,9,10,11],[3,5,8,10,11,12,14],[4,5,7,9,10,13,14]]; G[7830]:=Group([(1,12)(2,11)(5,13)(6,8)]); # Design 7831: autom. group order 2, simple, residual B[7831]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,11,12,13,14],[1,3,5,9,10,13,14],[1,3,7,8,9,11,14],[1,4,6,7,9,10,12],[1,4,6,8,9,11,13],[1,4,7,8,10,12,14],[1,5,6,7,9,12,13],[1,5,6,8,10,11,14],[2,3,6,7,8,12,14],[2,3,7,8,9,10,13],[2,4,5,7,10,11,13],[2,4,5,8,9,12,14],[2,4,6,9,10,11,14],[2,5,6,7,9,11,14],[2,6,8,9,10,12,13],[3,4,5,6,12,13,14],[3,4,6,7,8,11,13],[3,4,9,11,12,13,14],[3,5,6,8,10,11,12],[3,5,7,9,10,11,12],[4,5,7,8,10,13,14]]; G[7831]:=Group([(1,12)(2,11)(4,10)(6,9)]); # Design 7832: autom. group order 2, simple, residual B[7832]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,9,11,13,14],[1,3,5,10,12,13,14],[1,3,7,8,9,11,14],[1,4,6,7,9,10,12],[1,4,6,8,11,13,14],[1,4,7,8,10,12,14],[1,5,6,7,9,12,13],[1,5,6,8,9,10,11],[2,3,6,7,8,12,14],[2,3,7,8,9,10,13],[2,4,5,7,10,11,13],[2,4,5,8,9,12,14],[2,4,6,9,10,11,14],[2,5,6,7,11,12,14],[2,6,8,9,10,12,13],[3,4,5,6,9,13,14],[3,4,6,8,11,12,13],[3,4,7,9,11,12,13],[3,5,6,7,8,10,11],[3,5,9,10,11,12,14],[4,5,7,8,10,13,14]]; G[7832]:=Group([(1,12)(2,11)(5,13)(6,9)]); # Design 7833: autom. group order 2, simple, residual B[7833]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,9,11,13,14],[1,3,5,10,12,13,14],[1,3,7,8,9,11,14],[1,4,6,7,10,11,13],[1,4,6,8,9,12,14],[1,4,7,8,10,12,14],[1,5,6,7,9,12,13],[1,5,6,8,9,10,11],[2,3,6,7,8,12,14],[2,3,7,8,9,10,13],[2,4,5,7,9,10,12],[2,4,5,8,11,13,14],[2,4,6,9,10,11,14],[2,5,6,7,11,12,14],[2,6,8,9,10,12,13],[3,4,5,6,9,13,14],[3,4,6,8,11,12,13],[3,4,7,9,11,12,13],[3,5,6,7,8,10,11],[3,5,9,10,11,12,14],[4,5,7,8,10,13,14]]; G[7833]:=Group([(1,12)(2,11)(5,13)(6,9)]); # Design 7834: autom. group order 2, simple, residual B[7834]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,9,10,11,13],[1,3,5,8,9,10,14],[1,3,7,8,11,13,14],[1,4,6,8,11,12,14],[1,4,6,9,12,13,14],[1,4,7,9,10,12,13],[1,5,6,7,8,10,12],[1,5,6,7,9,11,14],[2,3,6,7,9,12,14],[2,3,7,8,12,13,14],[2,4,5,7,10,12,14],[2,4,5,9,11,13,14],[2,4,6,8,10,11,14],[2,5,6,8,9,12,13],[2,6,7,8,9,10,11],[3,4,5,6,7,11,13],[3,4,6,8,9,10,13],[3,4,7,8,9,11,12],[3,5,6,10,11,12,13],[3,5,9,10,11,12,14],[4,5,7,8,10,13,14]]; G[7834]:=Group([(1,11)(2,12)(4,10)(6,9)(7,14)(8,13)]); # Design 7835: autom. group order 2, simple B[7835]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,13],[1,2,6,8,11,13,14],[1,3,5,6,9,12,14],[1,3,7,8,9,10,14],[1,4,6,8,10,12,14],[1,4,6,9,11,12,13],[1,4,7,9,12,13,14],[1,5,7,8,9,11,13],[1,5,7,8,10,11,12],[2,3,6,7,9,11,12],[2,3,7,8,12,13,14],[2,4,5,7,12,13,14],[2,4,5,8,9,11,14],[2,4,6,8,9,10,13],[2,5,9,10,11,12,14],[2,6,7,8,9,10,12],[3,4,5,8,10,12,13],[3,4,6,7,8,11,14],[3,4,7,9,10,11,13],[3,5,6,8,11,12,13],[3,5,6,9,10,13,14],[4,5,6,7,10,11,14]]; G[7835]:=Group([(1,9)(3,8)(6,11)(7,14)(12,13)]); # Design 7836: autom. group order 2, simple B[7836]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,13],[1,2,6,8,11,12,13],[1,3,5,6,8,12,14],[1,3,7,8,9,10,14],[1,4,6,9,10,12,14],[1,4,6,9,11,13,14],[1,4,7,8,12,13,14],[1,5,7,8,9,11,13],[1,5,7,9,10,11,12],[2,3,6,7,9,11,14],[2,3,7,9,12,13,14],[2,4,5,7,12,13,14],[2,4,5,8,9,11,14],[2,4,6,8,9,10,13],[2,5,8,10,11,12,14],[2,6,7,8,9,10,12],[3,4,5,9,10,12,13],[3,4,6,7,8,11,12],[3,4,7,8,10,11,13],[3,5,6,8,10,13,14],[3,5,6,9,11,12,13],[4,5,6,7,10,11,14]]; G[7836]:=Group([(1,8)(3,9)(6,11)(7,14)(12,13)]); # Design 7837: autom. group order 2, simple B[7837]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,7,12,13,14],[1,3,5,6,11,12,14],[1,3,7,8,9,12,13],[1,4,6,7,9,10,13],[1,4,6,8,9,11,12],[1,4,7,9,10,11,14],[1,5,7,8,11,13,14],[1,5,8,9,10,12,14],[2,3,6,8,9,10,14],[2,3,7,8,9,11,13],[2,4,5,7,8,12,14],[2,4,5,9,11,13,14],[2,4,6,9,12,13,14],[2,5,7,9,10,11,12],[2,6,7,8,10,11,12],[3,4,5,7,10,12,13],[3,4,6,7,8,11,14],[3,4,8,10,12,13,14],[3,5,6,7,9,10,14],[3,5,6,9,11,12,13],[4,5,6,8,10,11,13]]; G[7837]:=Group([(1,11)(3,10)(4,12)(5,7)(6,9)]); # Design 7838: autom. group order 2, simple B[7838]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,7,12,13,14],[1,3,5,6,11,12,14],[1,3,7,8,9,12,14],[1,4,6,7,9,10,13],[1,4,6,8,9,11,12],[1,4,7,9,10,11,14],[1,5,7,8,11,13,14],[1,5,8,9,10,12,13],[2,3,6,8,9,10,14],[2,3,7,8,9,11,13],[2,4,5,7,8,12,14],[2,4,5,9,11,13,14],[2,4,6,9,12,13,14],[2,5,7,9,10,11,12],[2,6,7,8,10,11,12],[3,4,5,7,10,12,13],[3,4,6,7,8,11,13],[3,4,8,10,12,13,14],[3,5,6,7,9,10,14],[3,5,6,9,11,12,13],[4,5,6,8,10,11,14]]; G[7838]:=Group([(1,11)(3,10)(4,12)(5,7)(6,9)]); # Design 7839: autom. group order 2, simple B[7839]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,13],[1,2,6,8,11,12,13],[1,3,5,6,8,12,14],[1,3,7,8,9,10,14],[1,4,6,9,11,13,14],[1,4,7,8,12,13,14],[1,4,7,9,10,11,12],[1,5,6,9,10,12,14],[1,5,7,8,9,11,13],[2,3,6,7,9,11,14],[2,3,7,9,12,13,14],[2,4,5,7,12,13,14],[2,4,5,8,9,11,14],[2,4,6,8,9,10,13],[2,5,8,10,11,12,14],[2,6,7,8,9,10,12],[3,4,5,9,10,12,13],[3,4,6,7,8,11,12],[3,4,6,8,10,13,14],[3,5,6,9,11,12,13],[3,5,7,8,10,11,13],[4,5,6,7,10,11,14]]; G[7839]:=Group([(1,8)(3,9)(6,11)(7,14)(12,13)]); # Design 7840: autom. group order 2, simple, residual B[7840]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,7,12,13,14],[1,3,5,6,11,12,14],[1,3,7,8,9,12,13],[1,4,6,8,9,11,12],[1,4,7,8,10,13,14],[1,4,7,9,10,11,14],[1,5,6,7,9,11,13],[1,5,8,9,10,12,14],[2,3,6,8,9,10,14],[2,3,7,8,9,11,13],[2,4,5,7,8,12,14],[2,4,5,9,11,13,14],[2,4,6,9,12,13,14],[2,5,7,9,10,11,12],[2,6,7,8,10,11,12],[3,4,5,7,10,12,13],[3,4,6,7,8,11,14],[3,4,6,9,10,12,13],[3,5,6,7,9,10,14],[3,5,8,11,12,13,14],[4,5,6,8,10,11,13]]; G[7840]:=Group([(1,11)(3,10)(4,12)(5,7)(6,9)]); # Design 7841: autom. group order 2, simple, residual B[7841]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,7,8,12,14],[1,3,5,6,11,12,14],[1,3,7,8,9,12,13],[1,4,6,9,11,12,13],[1,4,7,8,10,13,14],[1,4,7,9,10,11,14],[1,5,6,7,9,11,13],[1,5,8,9,10,12,14],[2,3,6,9,10,13,14],[2,3,7,8,9,11,13],[2,4,5,7,12,13,14],[2,4,5,8,9,11,14],[2,4,6,9,12,13,14],[2,5,7,9,10,11,12],[2,6,7,8,10,11,12],[3,4,5,7,10,12,13],[3,4,6,7,8,11,14],[3,4,6,8,9,10,12],[3,5,6,7,9,10,14],[3,5,8,11,12,13,14],[4,5,6,8,10,11,13]]; G[7841]:=Group([(1,11)(3,10)(4,12)(5,7)(6,9)]); # Design 7842: autom. group order 2, simple B[7842]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,13],[1,2,6,8,12,13,14],[1,3,5,9,11,12,14],[1,3,6,8,9,12,13],[1,4,6,7,9,11,12],[1,4,6,8,10,11,14],[1,4,7,8,9,10,13],[1,5,7,8,11,13,14],[1,5,7,9,10,12,14],[2,3,6,7,9,10,14],[2,3,7,8,9,11,13],[2,4,5,7,8,12,14],[2,4,5,9,11,13,14],[2,4,6,9,12,13,14],[2,5,6,8,10,11,12],[2,7,8,9,10,11,12],[3,4,5,8,10,12,13],[3,4,6,7,8,11,14],[3,4,7,10,12,13,14],[3,5,6,7,11,12,13],[3,5,6,8,9,10,14],[4,5,6,9,10,11,13]]; G[7842]:=Group([(1,11)(3,10)(4,12)(5,8)(6,9)]); # Design 7843: autom. group order 2, simple B[7843]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,13],[1,2,6,8,12,13,14],[1,3,5,9,11,12,14],[1,3,6,8,9,12,13],[1,4,6,7,9,11,12],[1,4,6,8,10,11,14],[1,4,7,8,9,10,14],[1,5,7,8,11,13,14],[1,5,7,9,10,12,13],[2,3,6,7,9,10,14],[2,3,7,8,9,11,13],[2,4,5,7,8,12,14],[2,4,5,9,11,13,14],[2,4,6,9,12,13,14],[2,5,6,8,10,11,12],[2,7,8,9,10,11,12],[3,4,5,8,10,12,13],[3,4,6,7,8,11,13],[3,4,7,10,12,13,14],[3,5,6,7,11,12,14],[3,5,6,8,9,10,14],[4,5,6,9,10,11,13]]; G[7843]:=Group([(1,11)(3,10)(4,12)(5,8)(6,9)]); # Design 7844: autom. group order 2, simple B[7844]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,13],[1,2,6,8,9,12,14],[1,3,5,8,11,13,14],[1,3,6,7,9,11,12],[1,4,6,7,12,13,14],[1,4,6,8,9,10,14],[1,4,7,8,9,11,13],[1,5,7,8,10,12,13],[1,5,9,10,11,12,14],[2,3,6,8,9,10,13],[2,3,7,9,12,13,14],[2,4,5,7,9,11,14],[2,4,5,8,12,13,14],[2,4,7,8,10,11,12],[2,5,6,9,11,12,13],[2,6,7,8,10,11,14],[3,4,5,6,10,12,14],[3,4,6,8,11,12,13],[3,4,7,9,10,13,14],[3,5,6,7,8,11,14],[3,5,7,8,9,10,12],[4,5,6,9,10,11,13]]; G[7844]:=Group([(1,7)(2,10)(3,8)(4,12)(6,13)]); # Design 7845: autom. group order 2, simple, residual B[7845]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,12,13,14],[1,2,6,7,8,10,11],[1,3,5,9,10,13,14],[1,3,6,7,9,12,13],[1,4,6,8,9,11,13],[1,4,6,8,10,12,14],[1,4,7,9,11,12,14],[1,5,7,8,9,10,14],[1,5,7,8,11,12,13],[2,3,6,8,9,11,14],[2,3,7,8,12,13,14],[2,4,5,7,8,10,13],[2,4,5,9,11,12,13],[2,4,7,9,10,12,14],[2,5,6,7,9,11,14],[2,6,8,9,10,12,13],[3,4,5,6,8,12,14],[3,4,6,7,9,10,13],[3,4,7,8,11,13,14],[3,5,6,7,10,11,12],[3,5,8,9,10,11,12],[4,5,6,10,11,13,14]]; G[7845]:=Group([(1,10)(2,11)(4,12)]); # Design 7846: autom. group order 2, simple B[7846]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,13],[1,2,6,8,12,13,14],[1,3,5,8,9,12,13],[1,3,6,8,9,10,14],[1,4,6,7,8,11,14],[1,4,7,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,9,10,11,12],[1,5,7,9,11,13,14],[2,3,6,7,9,11,14],[2,3,7,9,11,12,13],[2,4,5,6,12,13,14],[2,4,5,8,9,11,14],[2,4,7,8,9,10,13],[2,5,8,10,11,12,14],[2,6,7,8,9,10,12],[3,4,5,7,10,12,14],[3,4,6,8,10,11,13],[3,4,6,9,12,13,14],[3,5,6,7,8,11,12],[3,5,7,8,10,13,14],[4,5,6,9,10,11,13]]; G[7846]:=Group([(1,8)(3,9)(6,14)(7,11)(12,13)]); # Design 7847: autom. group order 2, simple, residual B[7847]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,6,7,8,10,11],[1,3,5,9,10,13,14],[1,3,6,7,9,12,13],[1,4,6,9,10,12,14],[1,4,7,8,9,11,13],[1,4,7,8,10,12,14],[1,5,6,7,9,11,14],[1,5,8,11,12,13,14],[2,3,6,7,12,13,14],[2,3,7,8,9,11,14],[2,4,5,7,10,13,14],[2,4,5,9,11,12,13],[2,4,6,9,11,12,14],[2,5,6,8,9,10,14],[2,7,8,9,10,12,13],[3,4,5,7,8,12,14],[3,4,6,8,9,10,13],[3,4,6,8,11,13,14],[3,5,6,8,10,11,12],[3,5,7,9,10,11,12],[4,5,6,7,10,11,13]]; G[7847]:=Group([(1,10)(2,11)(4,12)(7,8)]); # Design 7848: autom. group order 2, simple B[7848]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,10,12,13],[1,2,6,8,9,11,14],[1,3,5,7,8,12,14],[1,3,6,7,9,10,14],[1,4,6,9,12,13,14],[1,4,7,8,9,11,12],[1,4,7,9,10,11,13],[1,5,6,8,11,12,13],[1,5,7,8,10,13,14],[2,3,7,8,11,12,13],[2,3,7,9,12,13,14],[2,4,5,6,7,11,14],[2,4,5,9,12,13,14],[2,4,6,7,8,10,13],[2,5,8,9,10,11,14],[2,6,7,8,9,10,12],[3,4,5,8,9,10,13],[3,4,6,8,10,12,14],[3,4,6,8,11,13,14],[3,5,6,7,9,11,13],[3,5,6,9,10,11,12],[4,5,7,10,11,12,14]]; G[7848]:=Group([(1,6)(3,7)(8,11)(9,14)(12,13)]); # Design 7849: autom. group order 2, simple B[7849]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,10,12,13],[1,2,6,8,9,11,14],[1,3,5,7,8,9,13],[1,3,6,7,8,10,14],[1,4,6,8,12,13,14],[1,4,7,8,10,11,12],[1,4,7,9,11,13,14],[1,5,6,9,11,12,13],[1,5,7,9,10,12,14],[2,3,7,8,12,13,14],[2,3,7,9,11,12,13],[2,4,5,6,7,11,14],[2,4,5,8,12,13,14],[2,4,6,7,9,10,13],[2,5,8,9,10,11,14],[2,6,7,8,9,10,12],[3,4,5,9,10,12,14],[3,4,6,8,9,11,12],[3,4,6,9,10,13,14],[3,5,6,7,11,12,14],[3,5,6,8,10,11,13],[4,5,7,8,10,11,13]]; G[7849]:=Group([(1,6)(3,7)(8,14)(9,11)(12,13)]); # Design 7850: autom. group order 2, simple, residual B[7850]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,7,9,11,13],[1,3,5,7,8,12,14],[1,3,7,8,9,11,14],[1,4,6,7,9,10,14],[1,4,6,9,10,12,14],[1,4,7,8,11,12,13],[1,5,6,11,12,13,14],[1,5,8,9,10,12,13],[2,3,6,7,9,12,13],[2,3,6,8,10,12,14],[2,4,5,7,12,13,14],[2,4,5,9,11,12,14],[2,4,7,8,10,13,14],[2,5,6,8,9,11,14],[2,7,8,9,10,11,12],[3,4,5,9,10,11,13],[3,4,6,8,9,12,13],[3,4,6,8,11,13,14],[3,5,6,7,10,11,12],[3,5,7,9,10,13,14],[4,5,6,7,8,10,11]]; G[7850]:=Group([(1,10)(2,13)(3,5)(4,9)(6,14)(8,11)]); # Design 7851: autom. group order 2, simple, residual B[7851]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,6,7,10,12,14],[1,3,5,7,9,10,13],[1,3,8,9,12,13,14],[1,4,6,7,9,11,13],[1,4,6,8,9,10,12],[1,4,7,8,10,11,14],[1,5,6,11,12,13,14],[1,5,7,8,9,11,14],[2,3,6,7,8,11,13],[2,3,6,8,9,11,14],[2,4,5,8,10,13,14],[2,4,5,9,11,12,14],[2,4,7,9,11,12,13],[2,5,6,7,9,10,14],[2,7,8,9,10,12,13],[3,4,5,7,12,13,14],[3,4,6,7,8,12,14],[3,4,6,9,10,13,14],[3,5,6,9,10,11,12],[3,5,7,8,10,11,12],[4,5,6,8,10,11,13]]; G[7851]:=Group([(1,10)(2,11)(4,12)(6,8)]); # Design 7852: autom. group order 2, simple, residual B[7852]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,6,9,10,12,14],[1,3,5,7,9,10,13],[1,3,7,8,12,13,14],[1,4,6,7,8,10,12],[1,4,6,7,9,11,13],[1,4,8,9,10,11,14],[1,5,6,11,12,13,14],[1,5,7,8,9,11,14],[2,3,6,7,8,11,14],[2,3,6,8,9,11,13],[2,4,5,7,11,12,14],[2,4,5,8,10,13,14],[2,4,7,9,11,12,13],[2,5,6,7,9,10,14],[2,7,8,9,10,12,13],[3,4,5,9,12,13,14],[3,4,6,7,10,13,14],[3,4,6,8,9,12,14],[3,5,6,9,10,11,12],[3,5,7,8,10,11,12],[4,5,6,8,10,11,13]]; G[7852]:=Group([(1,10)(2,11)(4,12)(6,8)]); # Design 7853: autom. group order 2, simple, residual B[7853]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,13],[1,2,6,8,12,13,14],[1,3,5,9,11,12,14],[1,3,7,8,12,13,14],[1,4,6,7,9,11,12],[1,4,6,8,10,11,14],[1,4,7,8,9,10,13],[1,5,6,8,9,11,13],[1,5,7,9,10,12,14],[2,3,6,7,9,10,14],[2,3,7,8,9,11,13],[2,4,5,7,8,12,14],[2,4,5,9,11,13,14],[2,4,6,9,12,13,14],[2,5,6,8,10,11,12],[2,7,8,9,10,11,12],[3,4,5,8,10,12,13],[3,4,6,7,8,11,14],[3,4,6,9,10,12,13],[3,5,6,7,11,12,13],[3,5,6,8,9,10,14],[4,5,7,10,11,13,14]]; G[7853]:=Group([(1,11)(3,10)(4,12)(5,8)(6,9)]); # Design 7854: autom. group order 2, simple B[7854]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,6,9,10,13,14],[1,3,5,9,11,12,14],[1,3,7,8,9,10,13],[1,4,6,7,9,10,12],[1,4,6,8,12,13,14],[1,4,7,8,11,12,14],[1,5,6,7,10,11,14],[1,5,7,8,9,11,13],[2,3,6,7,9,12,14],[2,3,7,8,12,13,14],[2,4,5,7,11,13,14],[2,4,5,8,9,10,14],[2,4,6,7,9,11,13],[2,5,6,8,10,11,12],[2,7,8,9,10,11,12],[3,4,5,7,10,12,13],[3,4,6,8,9,11,14],[3,4,6,8,10,11,13],[3,5,6,7,8,10,14],[3,5,6,9,11,12,13],[4,5,9,10,12,13,14]]; G[7854]:=Group([(1,10)(3,11)(4,12)(5,8)(6,9)(13,14)]); # Design 7855: autom. group order 2, simple B[7855]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,13],[1,2,6,8,11,13,14],[1,3,5,8,9,12,13],[1,3,7,8,9,10,14],[1,4,6,7,9,11,14],[1,4,6,8,10,12,14],[1,4,7,9,12,13,14],[1,5,6,9,11,12,13],[1,5,7,8,10,11,12],[2,3,6,7,9,11,12],[2,3,7,8,12,13,14],[2,4,5,7,12,13,14],[2,4,5,8,9,11,14],[2,4,6,8,9,10,13],[2,5,9,10,11,12,14],[2,6,7,8,9,10,12],[3,4,5,6,10,12,14],[3,4,6,8,11,12,13],[3,4,7,9,10,11,13],[3,5,6,7,8,11,14],[3,5,6,9,10,13,14],[4,5,7,8,10,11,13]]; G[7855]:=Group([(1,9)(3,8)(6,11)(7,14)(12,13)]); # Design 7856: autom. group order 2, simple B[7856]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,13],[1,2,6,8,11,12,13],[1,3,5,8,9,12,13],[1,3,7,8,9,10,14],[1,4,6,7,8,11,14],[1,4,6,9,10,12,14],[1,4,7,8,12,13,14],[1,5,6,9,11,13,14],[1,5,7,9,10,11,12],[2,3,6,7,9,11,14],[2,3,7,9,12,13,14],[2,4,5,7,12,13,14],[2,4,5,8,9,11,14],[2,4,6,8,9,10,13],[2,5,8,10,11,12,14],[2,6,7,8,9,10,12],[3,4,5,6,10,12,14],[3,4,6,9,11,12,13],[3,4,7,8,10,11,13],[3,5,6,7,8,11,12],[3,5,6,8,10,13,14],[4,5,7,9,10,11,13]]; G[7856]:=Group([(1,8)(3,9)(6,11)(7,14)(12,13)]); # Design 7857: autom. group order 2, simple B[7857]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,7,9,10,14],[1,3,5,7,8,12,14],[1,3,7,9,12,13,14],[1,4,6,7,8,11,13],[1,4,6,9,11,13,14],[1,4,8,9,10,12,13],[1,5,6,8,11,12,14],[1,5,7,9,10,11,12],[2,3,6,8,12,13,14],[2,3,7,8,9,11,13],[2,4,5,7,11,12,13],[2,4,5,9,12,13,14],[2,4,6,7,10,12,14],[2,5,8,9,10,11,14],[2,6,7,8,9,11,12],[3,4,5,6,9,11,14],[3,4,6,8,9,10,12],[3,4,7,8,10,11,14],[3,5,6,7,9,10,13],[3,5,6,10,11,12,13],[4,5,7,8,10,13,14]]; G[7857]:=Group([(1,14)(2,10)(3,7)(5,8)(6,11)(9,13)]); # Design 7858: autom. group order 2, simple, residual B[7858]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,12,13,14],[1,2,6,7,8,10,11],[1,3,5,9,10,13,14],[1,3,7,8,9,12,13],[1,4,6,8,10,12,14],[1,4,6,9,11,12,13],[1,4,7,8,9,11,14],[1,5,6,7,8,10,13],[1,5,7,9,11,12,14],[2,3,6,8,9,11,14],[2,3,7,8,12,13,14],[2,4,5,7,9,10,14],[2,4,5,7,11,12,13],[2,4,8,9,10,12,13],[2,5,6,8,9,11,13],[2,6,7,9,10,12,14],[3,4,5,6,8,12,14],[3,4,6,7,9,10,13],[3,4,6,7,11,13,14],[3,5,6,9,10,11,12],[3,5,7,8,10,11,12],[4,5,8,10,11,13,14]]; G[7858]:=Group([(1,10)(2,11)(4,12)(6,8)]); # Design 7859: autom. group order 2, simple, residual B[7859]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,12,13,14],[1,2,6,7,8,10,11],[1,3,5,9,10,13,14],[1,3,7,8,9,12,13],[1,4,6,8,9,11,13],[1,4,6,8,10,12,14],[1,4,7,9,10,12,14],[1,5,6,7,11,12,13],[1,5,7,8,9,11,14],[2,3,6,8,9,11,14],[2,3,7,8,12,13,14],[2,4,5,7,8,10,13],[2,4,5,9,11,12,13],[2,4,7,9,11,12,14],[2,5,6,7,9,10,14],[2,6,8,9,10,12,13],[3,4,5,6,8,12,14],[3,4,6,7,9,10,13],[3,4,6,7,11,13,14],[3,5,6,9,10,11,12],[3,5,7,8,10,11,12],[4,5,8,10,11,13,14]]; G[7859]:=Group([(1,10)(2,11)(4,12)(6,8)]); # Design 7860: autom. group order 2, simple, residual B[7860]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,12,13,14],[1,2,6,8,9,10,11],[1,3,5,7,10,13,14],[1,3,7,8,9,12,13],[1,4,6,7,8,11,13],[1,4,6,8,10,12,14],[1,4,7,9,10,12,14],[1,5,6,9,11,12,13],[1,5,7,8,9,11,14],[2,3,6,7,8,11,14],[2,3,8,9,12,13,14],[2,4,5,7,11,12,13],[2,4,5,8,9,10,13],[2,4,7,9,11,12,14],[2,5,6,7,9,10,14],[2,6,7,8,10,12,13],[3,4,5,6,8,12,14],[3,4,6,7,9,10,13],[3,4,6,9,11,13,14],[3,5,6,9,10,11,12],[3,5,7,8,10,11,12],[4,5,8,10,11,13,14]]; G[7860]:=Group([(1,10)(2,11)(4,12)(6,8)]); # Design 7861: autom. group order 2, simple B[7861]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,13,14],[1,2,6,7,9,10,12],[1,3,5,9,11,12,13],[1,3,7,8,10,13,14],[1,4,6,9,12,13,14],[1,4,7,8,9,11,14],[1,4,7,8,10,12,13],[1,5,6,7,11,12,14],[1,5,6,8,9,10,11],[2,3,6,7,8,11,12],[2,3,6,7,9,13,14],[2,4,5,7,9,10,13],[2,4,5,11,12,13,14],[2,4,6,8,10,11,14],[2,5,8,9,10,12,14],[2,7,8,9,11,12,13],[3,4,5,7,8,12,14],[3,4,6,8,9,11,13],[3,4,6,9,10,12,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,14],[4,5,6,7,10,11,13]]; G[7861]:=Group([(1,10)(2,7)(3,13)(6,9)(8,11)]); # Design 7862: autom. group order 2, simple B[7862]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,10,12,13],[1,2,6,8,11,12,14],[1,3,5,8,9,12,14],[1,3,7,8,9,10,13],[1,4,6,7,9,11,12],[1,4,7,8,12,13,14],[1,4,7,9,10,11,14],[1,5,6,7,8,11,13],[1,5,6,9,10,13,14],[2,3,6,7,9,11,13],[2,3,7,9,12,13,14],[2,4,5,7,12,13,14],[2,4,5,8,9,11,13],[2,4,6,8,9,10,14],[2,5,7,8,10,11,14],[2,6,7,8,9,10,12],[3,4,5,6,7,10,14],[3,4,6,8,10,12,13],[3,4,6,8,11,13,14],[3,5,6,9,11,12,14],[3,5,7,8,10,11,12],[4,5,9,10,11,12,13]]; G[7862]:=Group([(1,8)(3,9)(6,11)(7,13)(12,14)]); # Design 7863: autom. group order 2, simple B[7863]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,10,12,13],[1,2,6,8,11,12,14],[1,3,5,8,9,12,14],[1,3,7,8,9,10,13],[1,4,6,7,8,11,13],[1,4,7,8,12,13,14],[1,4,7,9,10,11,14],[1,5,6,7,9,11,12],[1,5,6,9,10,13,14],[2,3,6,7,9,11,13],[2,3,7,9,12,13,14],[2,4,5,7,12,13,14],[2,4,5,8,9,11,13],[2,4,6,8,9,10,14],[2,5,7,8,10,11,14],[2,6,7,8,9,10,12],[3,4,5,6,7,10,14],[3,4,6,8,10,12,13],[3,4,6,9,11,12,14],[3,5,6,8,11,13,14],[3,5,7,8,10,11,12],[4,5,9,10,11,12,13]]; G[7863]:=Group([(1,8)(3,9)(6,11)(7,13)(12,14)]); # Design 7864: autom. group order 2, simple B[7864]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,7,9,12,13,14],[1,3,5,7,11,12,14],[1,3,6,8,9,12,13],[1,4,6,7,8,11,12],[1,4,6,7,9,10,14],[1,4,8,9,10,11,14],[1,5,6,9,11,13,14],[1,5,7,8,10,12,13],[2,3,6,7,8,10,14],[2,3,6,7,9,11,13],[2,4,5,6,9,12,14],[2,4,5,8,11,13,14],[2,4,7,8,12,13,14],[2,5,7,9,10,11,12],[2,6,8,9,10,11,12],[3,4,5,9,10,12,13],[3,4,6,10,12,13,14],[3,4,7,8,9,11,13],[3,5,6,8,11,12,14],[3,5,7,8,9,10,14],[4,5,6,7,10,11,13]]; G[7864]:=Group([(1,11)(3,10)(4,12)(5,9)(7,8)]); # Design 7865: autom. group order 2, simple B[7865]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,7,9,12,13,14],[1,3,5,7,11,12,14],[1,3,6,8,9,12,14],[1,4,6,7,8,11,12],[1,4,6,7,9,10,13],[1,4,8,9,10,11,14],[1,5,6,9,11,13,14],[1,5,7,8,10,12,13],[2,3,6,7,8,10,14],[2,3,6,7,9,11,13],[2,4,5,6,9,12,14],[2,4,5,8,11,13,14],[2,4,7,8,12,13,14],[2,5,7,9,10,11,12],[2,6,8,9,10,11,12],[3,4,5,9,10,12,13],[3,4,6,10,12,13,14],[3,4,7,8,9,11,13],[3,5,6,8,11,12,13],[3,5,7,8,9,10,14],[4,5,6,7,10,11,14]]; G[7865]:=Group([(1,11)(3,10)(4,12)(5,9)(7,8)]); # Design 7866: autom. group order 2, simple, residual B[7866]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,7,9,10,13,14],[1,3,5,7,11,12,14],[1,3,6,8,9,12,13],[1,4,6,7,9,10,12],[1,4,6,8,11,13,14],[1,4,7,8,11,12,13],[1,5,6,9,11,12,14],[1,5,7,8,9,10,14],[2,3,6,7,8,12,14],[2,3,6,7,9,11,13],[2,4,5,6,9,11,14],[2,4,5,8,12,13,14],[2,4,7,9,12,13,14],[2,5,7,8,10,11,12],[2,6,8,9,10,11,12],[3,4,5,9,10,12,13],[3,4,6,7,8,10,14],[3,4,8,9,10,11,14],[3,5,6,10,12,13,14],[3,5,7,8,9,11,13],[4,5,6,7,10,11,13]]; G[7866]:=Group([(1,10)(3,11)(4,12)(5,8)(7,9)]); # Design 7867: autom. group order 2, simple, residual B[7867]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,7,9,10,13,14],[1,3,5,9,11,12,14],[1,3,6,7,8,12,13],[1,4,6,7,9,10,12],[1,4,6,8,9,11,14],[1,4,7,8,11,12,13],[1,5,6,11,12,13,14],[1,5,7,8,9,10,14],[2,3,6,7,9,11,13],[2,3,6,8,9,12,14],[2,4,5,6,7,11,14],[2,4,5,8,12,13,14],[2,4,7,9,12,13,14],[2,5,7,8,10,11,12],[2,6,8,9,10,11,12],[3,4,5,9,10,12,13],[3,4,6,8,10,13,14],[3,4,7,8,10,11,14],[3,5,6,7,10,12,14],[3,5,7,8,9,11,13],[4,5,6,9,10,11,13]]; G[7867]:=Group([(1,10)(3,11)(4,12)(5,8)(7,9)]); # Design 7868: autom. group order 2, simple B[7868]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,10,12,13],[1,2,7,8,11,13,14],[1,3,5,7,8,9,13],[1,3,6,7,9,10,14],[1,4,6,8,9,11,14],[1,4,6,9,12,13,14],[1,4,7,9,10,11,12],[1,5,6,8,11,12,13],[1,5,7,8,10,12,14],[2,3,6,8,9,11,12],[2,3,7,9,12,13,14],[2,4,5,6,7,11,14],[2,4,5,9,12,13,14],[2,4,6,7,8,10,13],[2,5,8,9,10,11,14],[2,6,7,8,9,10,12],[3,4,5,8,10,12,14],[3,4,6,8,10,13,14],[3,4,7,8,11,12,13],[3,5,6,7,11,12,14],[3,5,6,9,10,11,13],[4,5,7,9,10,11,13]]; G[7868]:=Group([(1,6)(3,7)(8,11)(9,14)(12,13)]); # Design 7869: autom. group order 2, simple, residual B[7869]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,10,13,14],[1,2,7,8,9,12,13],[1,3,5,8,9,11,14],[1,3,6,7,8,11,13],[1,4,6,7,8,10,14],[1,4,6,9,10,11,12],[1,4,8,9,12,13,14],[1,5,6,7,9,10,12],[1,5,7,11,12,13,14],[2,3,6,7,8,12,14],[2,3,7,9,10,12,14],[2,4,5,6,9,13,14],[2,4,5,7,11,12,13],[2,4,6,8,11,12,14],[2,5,7,8,9,10,11],[2,6,8,9,10,11,13],[3,4,5,8,10,12,13],[3,4,6,7,9,11,13],[3,4,7,9,10,13,14],[3,5,6,8,10,12,13],[3,5,6,9,11,12,14],[4,5,7,8,10,11,14]]; G[7869]:=Group([(1,7)(2,14)(3,10)(5,8)(9,11)(12,13)]); # Design 7870: autom. group order 2, simple, residual B[7870]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,12,13,14],[1,2,7,8,10,12,13],[1,3,5,7,9,10,14],[1,3,8,9,12,13,14],[1,4,6,7,10,11,13],[1,4,6,8,9,10,12],[1,4,7,8,9,11,14],[1,5,6,7,9,11,13],[1,5,6,8,11,12,14],[2,3,6,7,8,11,14],[2,3,6,8,9,11,13],[2,4,5,6,8,10,14],[2,4,5,9,11,12,13],[2,4,7,9,11,12,14],[2,5,7,8,9,10,13],[2,6,7,9,10,12,14],[3,4,5,7,12,13,14],[3,4,6,7,8,12,13],[3,4,6,9,10,13,14],[3,5,6,9,10,11,12],[3,5,7,8,10,11,12],[4,5,8,10,11,13,14]]; G[7870]:=Group([(1,10)(2,11)(4,12)(6,8)]); # Design 7871: autom. group order 2, simple, residual B[7871]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,12,13,14],[1,2,8,9,10,12,13],[1,3,5,7,8,10,14],[1,3,7,9,12,13,14],[1,4,6,7,9,10,12],[1,4,6,8,10,11,13],[1,4,7,8,9,11,14],[1,5,6,7,8,11,13],[1,5,6,9,11,12,14],[2,3,6,7,9,11,13],[2,3,6,8,9,11,14],[2,4,5,6,9,10,14],[2,4,5,7,11,12,13],[2,4,7,8,11,12,14],[2,5,7,8,9,10,13],[2,6,7,8,10,12,14],[3,4,5,8,12,13,14],[3,4,6,7,10,13,14],[3,4,6,8,9,12,13],[3,5,6,8,10,11,12],[3,5,7,9,10,11,12],[4,5,9,10,11,13,14]]; G[7871]:=Group([(1,10)(2,11)(4,12)(6,9)]); # Design 7872: autom. group order 2, simple B[7872]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,10,12,13],[1,2,7,8,12,13,14],[1,3,5,8,9,12,14],[1,3,7,8,9,10,13],[1,4,6,7,8,11,13],[1,4,6,8,11,12,14],[1,4,7,9,10,11,14],[1,5,6,7,9,11,12],[1,5,6,9,10,13,14],[2,3,6,7,9,11,13],[2,3,6,9,11,12,14],[2,4,5,7,12,13,14],[2,4,5,8,9,11,13],[2,4,6,8,9,10,14],[2,5,7,8,10,11,14],[2,6,7,8,9,10,12],[3,4,5,6,7,10,14],[3,4,6,8,10,12,13],[3,4,7,9,12,13,14],[3,5,6,8,11,13,14],[3,5,7,8,10,11,12],[4,5,9,10,11,12,13]]; G[7872]:=Group([(1,8)(3,9)(6,11)(7,13)(12,14)]); # Design 7873: autom. group order 2, simple B[7873]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,8,10,13,14],[1,3,6,7,9,12,14],[1,3,7,9,11,12,13],[1,4,5,7,10,12,14],[1,4,6,8,9,12,13],[1,4,6,9,10,11,14],[1,5,7,8,11,12,13],[1,5,8,9,10,11,14],[2,3,7,9,10,11,13],[2,3,8,9,10,12,14],[2,4,5,7,9,13,14],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,6,7,9,10,12],[2,5,6,8,9,11,12],[3,4,5,8,10,12,13],[3,4,5,9,11,13,14],[3,4,6,7,8,10,11],[3,5,6,7,8,11,14],[3,5,6,10,12,13,14],[4,6,7,8,9,10,13]]; G[7873]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 7874: autom. group order 2, simple, residual B[7874]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,8,10,13,14],[1,3,6,7,9,12,14],[1,3,7,9,11,12,13],[1,4,5,9,12,13,14],[1,4,6,7,8,10,12],[1,4,6,9,10,11,14],[1,5,7,8,11,12,13],[1,5,8,9,10,11,14],[2,3,7,9,10,11,13],[2,3,8,9,10,12,14],[2,4,5,7,9,13,14],[2,4,6,11,12,13,14],[2,4,7,8,11,12,14],[2,5,6,7,9,10,12],[2,5,6,8,9,11,12],[3,4,5,7,10,11,14],[3,4,5,8,10,12,13],[3,4,6,8,9,11,13],[3,5,6,7,8,11,14],[3,5,6,10,12,13,14],[4,6,7,8,9,10,13]]; G[7874]:=Group([(1,12)(3,11)(5,14)(6,8)(9,13)]); # Design 7875: autom. group order 2, simple, residual B[7875]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,12,14],[1,2,7,8,9,10,14],[1,3,6,9,11,13,14],[1,3,7,8,9,11,14],[1,4,5,7,9,10,13],[1,4,6,7,8,12,13],[1,4,6,9,12,13,14],[1,5,7,10,11,12,14],[1,5,8,10,11,12,13],[2,3,7,8,12,13,14],[2,3,7,9,10,12,13],[2,4,5,7,11,13,14],[2,4,6,8,10,11,14],[2,4,8,9,11,12,13],[2,5,6,7,9,11,12],[2,5,6,9,10,13,14],[3,4,5,8,10,13,14],[3,4,5,9,11,12,14],[3,4,6,7,10,12,14],[3,5,6,7,8,11,13],[3,5,6,8,9,10,12],[4,6,7,8,9,10,11]]; G[7875]:=Group([(2,10)(3,11)(4,12)(6,13)(7,8)(9,14)]); # Design 7876: autom. group order 2, simple, residual B[7876]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,9,10,11,14],[1,3,6,9,10,12,14],[1,3,7,8,11,12,13],[1,4,5,7,10,12,14],[1,4,6,7,9,12,13],[1,4,6,8,9,11,14],[1,5,7,8,11,13,14],[1,5,8,9,10,12,13],[2,3,7,8,9,12,14],[2,3,7,9,10,11,13],[2,4,5,7,9,13,14],[2,4,6,11,12,13,14],[2,4,8,10,12,13,14],[2,5,6,7,8,10,12],[2,5,6,8,9,11,12],[3,4,5,8,10,11,14],[3,4,5,9,11,12,13],[3,4,6,7,8,10,13],[3,5,6,7,11,12,14],[3,5,6,9,10,13,14],[4,6,7,8,9,10,11]]; G[7876]:=Group([(1,14)(3,13)(5,12)(6,8)(7,10)(9,11)]); # Design 7877: autom. group order 2, simple, residual B[7877]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,8,9,10,14],[1,3,6,9,12,13,14],[1,3,7,9,11,12,13],[1,4,5,7,12,13,14],[1,4,6,7,10,11,14],[1,4,6,8,9,10,12],[1,5,7,8,9,11,12],[1,5,8,10,11,13,14],[2,3,7,8,10,12,14],[2,3,7,9,10,11,13],[2,4,5,7,9,13,14],[2,4,6,9,11,12,14],[2,4,8,11,12,13,14],[2,5,6,7,8,11,12],[2,5,6,9,10,12,13],[3,4,5,8,10,12,13],[3,4,5,9,10,11,14],[3,4,6,7,8,11,13],[3,5,6,7,10,12,14],[3,5,6,8,9,11,14],[4,6,7,8,9,10,13]]; G[7877]:=Group([(1,12)(3,11)(5,14)(6,8)(7,13)]); # Design 7878: autom. group order 2, simple, residual B[7878]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,9,10,11,14],[1,3,6,9,10,12,14],[1,3,7,8,11,12,13],[1,4,5,9,11,12,14],[1,4,6,7,8,10,14],[1,4,6,7,9,12,13],[1,5,7,8,11,13,14],[1,5,8,9,10,12,13],[2,3,7,8,9,12,14],[2,3,7,9,10,11,13],[2,4,5,7,9,13,14],[2,4,6,11,12,13,14],[2,4,8,10,12,13,14],[2,5,6,7,8,10,12],[2,5,6,8,9,11,12],[3,4,5,7,10,12,13],[3,4,5,8,10,11,14],[3,4,6,8,9,11,13],[3,5,6,7,11,12,14],[3,5,6,9,10,13,14],[4,6,7,8,9,10,11]]; G[7878]:=Group([(1,14)(3,13)(5,12)(6,8)(7,10)(9,11)]); # Design 7879: autom. group order 2, simple B[7879]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,8,9,10,14],[1,3,6,9,12,13,14],[1,3,7,9,11,12,13],[1,4,5,9,10,12,14],[1,4,6,7,8,12,13],[1,4,6,7,10,11,14],[1,5,7,8,9,11,12],[1,5,8,10,11,13,14],[2,3,7,8,10,12,14],[2,3,7,9,10,11,13],[2,4,5,7,9,13,14],[2,4,6,9,11,12,14],[2,4,8,11,12,13,14],[2,5,6,7,8,11,12],[2,5,6,9,10,12,13],[3,4,5,7,11,13,14],[3,4,5,8,10,12,13],[3,4,6,8,9,10,11],[3,5,6,7,10,12,14],[3,5,6,8,9,11,14],[4,6,7,8,9,10,13]]; G[7879]:=Group([(1,12)(3,11)(5,14)(6,8)(7,13)]); # Design 7880: autom. group order 2, simple B[7880]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,10,12,13],[1,3,6,7,8,12,14],[1,3,7,8,9,10,14],[1,4,5,7,9,13,14],[1,4,6,9,11,12,14],[1,4,8,11,12,13,14],[1,5,6,9,10,11,13],[1,5,7,8,10,11,12],[2,3,7,9,11,12,13],[2,3,8,9,11,13,14],[2,4,5,7,12,13,14],[2,4,6,7,10,11,14],[2,4,6,8,9,10,12],[2,5,6,8,9,12,14],[2,5,7,8,10,11,14],[3,4,5,8,10,12,13],[3,4,5,9,10,11,14],[3,4,6,7,8,11,13],[3,5,6,7,9,11,12],[3,5,6,10,12,13,14],[4,6,7,8,9,10,13]]; G[7880]:=Group([(2,12)(3,11)(5,14)(6,8)(7,13)]); # Design 7881: autom. group order 2, simple, residual B[7881]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,10,12,13],[1,3,6,7,8,12,14],[1,3,7,8,9,10,14],[1,4,5,7,9,13,14],[1,4,6,9,11,12,14],[1,4,8,11,12,13,14],[1,5,6,9,10,11,13],[1,5,7,8,10,11,12],[2,3,7,9,11,12,13],[2,3,8,9,11,13,14],[2,4,5,9,10,12,14],[2,4,6,7,8,12,13],[2,4,6,7,10,11,14],[2,5,6,8,9,12,14],[2,5,7,8,10,11,14],[3,4,5,7,11,13,14],[3,4,5,8,10,12,13],[3,4,6,8,9,10,11],[3,5,6,7,9,11,12],[3,5,6,10,12,13,14],[4,6,7,8,9,10,13]]; G[7881]:=Group([(2,12)(3,11)(5,14)(6,8)(7,13)]); # Design 7882: autom. group order 2, simple B[7882]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,11,13,14],[1,2,7,9,10,12,14],[1,3,6,7,9,12,14],[1,3,8,9,11,13,14],[1,4,5,7,11,12,13],[1,4,6,8,9,11,12],[1,4,7,8,10,13,14],[1,5,6,9,10,11,14],[1,5,7,8,10,12,13],[2,3,7,8,11,12,14],[2,3,7,9,10,11,13],[2,4,5,7,8,9,14],[2,4,6,7,11,13,14],[2,4,6,9,10,12,13],[2,5,6,8,10,12,14],[2,5,8,9,11,12,13],[3,4,5,9,10,13,14],[3,4,5,10,11,12,14],[3,4,6,8,12,13,14],[3,5,6,7,8,10,11],[3,5,6,7,9,12,13],[4,6,7,8,9,10,11]]; G[7882]:=Group([(1,5)(2,13)(3,12)(4,7)(6,11)(9,10)]); # Design 7883: autom. group order 2, simple, residual B[7883]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,9,10,12,13],[1,3,6,7,9,10,14],[1,3,8,9,10,12,14],[1,4,5,7,9,13,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,14],[1,5,6,8,9,11,12],[1,5,7,8,10,11,13],[2,3,7,8,11,13,14],[2,3,7,9,11,12,13],[2,4,5,7,10,12,14],[2,4,6,8,9,12,13],[2,4,6,9,10,11,14],[2,5,6,7,8,12,14],[2,5,8,9,10,11,14],[3,4,5,8,10,12,13],[3,4,5,9,11,13,14],[3,4,6,7,8,10,11],[3,5,6,7,9,11,12],[3,5,6,10,12,13,14],[4,6,7,8,9,10,13]]; G[7883]:=Group([(2,12)(3,11)(5,14)(6,8)(9,13)]); # Design 7884: autom. group order 2, simple B[7884]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,9,10,12,13],[1,3,6,7,9,10,14],[1,3,8,9,10,12,14],[1,4,5,7,9,13,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,14],[1,5,6,8,9,11,12],[1,5,7,8,10,11,13],[2,3,7,8,11,13,14],[2,3,7,9,11,12,13],[2,4,5,9,12,13,14],[2,4,6,7,8,10,12],[2,4,6,9,10,11,14],[2,5,6,7,8,12,14],[2,5,8,9,10,11,14],[3,4,5,7,10,11,14],[3,4,5,8,10,12,13],[3,4,6,8,9,11,13],[3,5,6,7,9,11,12],[3,5,6,10,12,13,14],[4,6,7,8,9,10,13]]; G[7884]:=Group([(2,12)(3,11)(5,14)(6,8)(9,13)]); # Design 7885: autom. group order 2, simple, residual B[7885]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,10,12,13],[1,3,6,8,9,12,14],[1,3,7,8,10,13,14],[1,4,5,7,9,13,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,14],[1,5,6,7,9,10,11],[1,5,8,9,10,11,12],[2,3,7,8,9,11,14],[2,3,7,9,11,12,13],[2,4,5,7,10,12,14],[2,4,6,8,9,12,13],[2,4,6,9,10,11,14],[2,5,6,7,8,12,14],[2,5,8,10,11,13,14],[3,4,5,8,10,12,13],[3,4,5,9,11,13,14],[3,4,6,7,8,10,11],[3,5,6,7,11,12,13],[3,5,6,9,10,12,14],[4,6,7,8,9,10,13]]; G[7885]:=Group([(2,12)(3,11)(5,14)(6,8)(9,13)]); # Design 7886: autom. group order 2, simple B[7886]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,9,10,12,13],[1,3,6,8,9,12,14],[1,3,7,8,10,13,14],[1,4,5,7,9,13,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,14],[1,5,6,7,9,10,11],[1,5,8,9,10,11,12],[2,3,7,8,9,11,14],[2,3,7,9,11,12,13],[2,4,5,9,12,13,14],[2,4,6,7,8,10,12],[2,4,6,9,10,11,14],[2,5,6,7,8,12,14],[2,5,8,10,11,13,14],[3,4,5,7,10,11,14],[3,4,5,8,10,12,13],[3,4,6,8,9,11,13],[3,5,6,7,11,12,13],[3,5,6,9,10,12,14],[4,6,7,8,9,10,13]]; G[7886]:=Group([(2,12)(3,11)(5,14)(6,8)(9,13)]); # Design 7887: autom. group order 2, simple, residual B[7887]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,7,8,9,10,14],[1,3,6,8,9,12,14],[1,3,7,9,10,11,13],[1,4,5,7,9,13,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,14],[1,5,6,7,10,12,13],[1,5,8,9,10,11,12],[2,3,7,8,12,13,14],[2,3,7,9,11,12,13],[2,4,5,9,12,13,14],[2,4,6,7,8,10,12],[2,4,6,9,10,11,14],[2,5,6,7,9,11,12],[2,5,8,10,11,13,14],[3,4,5,7,10,11,14],[3,4,5,8,10,12,13],[3,4,6,8,9,11,13],[3,5,6,7,8,11,14],[3,5,6,9,10,12,14],[4,6,7,8,9,10,13]]; G[7887]:=Group([(2,12)(3,11)(5,14)(6,8)(9,13)]); # Design 7888: autom. group order 2, simple B[7888]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,9,10,12,13],[1,3,6,9,10,13,14],[1,3,7,8,10,12,14],[1,4,5,7,9,13,14],[1,4,6,9,11,12,14],[1,4,8,11,12,13,14],[1,5,6,7,8,11,12],[1,5,7,8,9,10,11],[2,3,7,8,9,11,14],[2,3,7,9,11,12,13],[2,4,5,7,12,13,14],[2,4,6,7,10,11,14],[2,4,6,8,9,10,12],[2,5,6,8,9,12,14],[2,5,8,10,11,13,14],[3,4,5,8,10,12,13],[3,4,5,9,10,11,14],[3,4,6,7,8,11,13],[3,5,6,7,10,12,14],[3,5,6,9,11,12,13],[4,6,7,8,9,10,13]]; G[7888]:=Group([(2,12)(3,11)(5,14)(6,8)(7,13)]); # Design 7889: autom. group order 2, simple, residual B[7889]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,6,10,11,13],[1,2,7,9,10,12,13],[1,3,6,9,10,13,14],[1,3,7,8,10,12,14],[1,4,5,7,9,13,14],[1,4,6,9,11,12,14],[1,4,8,11,12,13,14],[1,5,6,7,8,11,12],[1,5,7,8,9,10,11],[2,3,7,8,9,11,14],[2,3,7,9,11,12,13],[2,4,5,9,10,12,14],[2,4,6,7,8,12,13],[2,4,6,7,10,11,14],[2,5,6,8,9,12,14],[2,5,8,10,11,13,14],[3,4,5,7,11,13,14],[3,4,5,8,10,12,13],[3,4,6,8,9,10,11],[3,5,6,7,10,12,14],[3,5,6,9,11,12,13],[4,6,7,8,9,10,13]]; G[7889]:=Group([(2,12)(3,11)(5,14)(6,8)(7,13)]); # Design 7890: autom. group order 2, simple, residual B[7890]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,11,13],[1,2,8,9,10,13,14],[1,3,6,7,8,12,14],[1,3,7,9,10,11,13],[1,4,5,7,9,13,14],[1,4,6,9,11,12,14],[1,4,8,11,12,13,14],[1,5,6,7,9,10,12],[1,5,7,8,10,11,12],[2,3,7,8,9,12,14],[2,3,7,9,11,12,13],[2,4,5,7,12,13,14],[2,4,6,7,10,11,14],[2,4,6,8,9,10,12],[2,5,6,9,11,12,13],[2,5,7,8,10,11,14],[3,4,5,8,10,12,13],[3,4,5,9,10,11,14],[3,4,6,7,8,11,13],[3,5,6,8,9,11,14],[3,5,6,10,12,13,14],[4,6,7,8,9,10,13]]; G[7890]:=Group([(2,12)(3,11)(5,14)(6,8)(7,13)]); # Design 7891: autom. group order 2, simple, residual B[7891]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,12,13,14],[1,3,6,8,9,11,13],[1,3,7,9,10,11,14],[1,4,5,6,11,12,14],[1,4,6,9,10,12,14],[1,4,7,8,9,12,13],[1,5,7,8,9,10,14],[1,5,7,10,11,12,13],[2,3,7,9,12,13,14],[2,3,8,10,11,12,14],[2,4,5,9,10,11,13],[2,4,6,7,8,10,14],[2,4,7,8,9,11,12],[2,5,6,7,9,11,14],[2,5,6,9,10,12,13],[3,4,5,7,12,13,14],[3,4,5,8,10,13,14],[3,4,6,9,11,13,14],[3,5,6,7,8,11,12],[3,5,6,8,9,10,12],[4,6,7,8,10,11,13]]; G[7891]:=Group([(1,14)(2,13)(6,12)(9,10)]); # Design 7892: autom. group order 2, simple, residual B[7892]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,12,13,14],[1,3,6,8,10,11,14],[1,3,7,9,12,13,14],[1,4,5,6,9,11,14],[1,4,6,9,10,12,13],[1,4,7,8,9,11,12],[1,5,7,8,9,10,13],[1,5,7,10,11,12,14],[2,3,7,9,10,11,14],[2,3,8,9,11,12,13],[2,4,5,10,11,12,13],[2,4,6,7,8,12,14],[2,4,7,8,9,10,14],[2,5,6,7,9,11,13],[2,5,6,9,10,12,14],[3,4,5,7,12,13,14],[3,4,5,8,10,13,14],[3,4,6,9,11,13,14],[3,5,6,7,8,11,12],[3,5,6,8,9,10,12],[4,6,7,8,10,11,13]]; G[7892]:=Group([(1,13)(2,14)(6,12)(9,10)]); # Design 7893: autom. group order 2, simple, residual B[7893]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,7,9,12,14],[1,3,6,8,11,13,14],[1,3,7,8,9,11,14],[1,4,5,6,9,12,13],[1,4,6,8,12,13,14],[1,4,7,9,10,13,14],[1,5,7,10,11,12,13],[1,5,8,9,10,11,12],[2,3,7,8,9,12,13],[2,3,9,10,12,13,14],[2,4,5,7,11,13,14],[2,4,6,9,10,11,14],[2,4,7,8,11,12,13],[2,5,6,8,9,10,13],[2,5,6,8,11,12,14],[3,4,5,8,10,13,14],[3,4,5,9,11,12,14],[3,4,6,7,8,10,12],[3,5,6,7,9,11,13],[3,5,6,7,10,12,14],[4,6,7,8,9,10,11]]; G[7893]:=Group([(2,10)(3,11)(4,12)(6,13)]); # Design 7894: autom. group order 2, simple, residual B[7894]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,7,9,12,14],[1,3,6,8,11,13,14],[1,3,7,8,9,11,14],[1,4,5,6,9,12,13],[1,4,6,8,12,13,14],[1,4,7,8,9,10,13],[1,5,7,10,11,12,13],[1,5,9,10,11,12,14],[2,3,7,9,12,13,14],[2,3,8,9,10,12,13],[2,4,5,7,11,13,14],[2,4,6,9,10,11,14],[2,4,7,8,11,12,13],[2,5,6,8,9,11,12],[2,5,6,8,10,13,14],[3,4,5,8,11,12,14],[3,4,5,9,10,13,14],[3,4,6,7,10,12,14],[3,5,6,7,8,10,12],[3,5,6,7,9,11,13],[4,6,7,8,9,10,11]]; G[7894]:=Group([(2,10)(3,11)(4,12)(6,13)(8,14)]); # Design 7895: autom. group order 2, simple, residual B[7895]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,7,9,12,14],[1,3,6,8,11,13,14],[1,3,7,8,9,11,14],[1,4,5,6,9,12,13],[1,4,6,8,12,13,14],[1,4,7,9,10,13,14],[1,5,7,10,11,12,13],[1,5,8,9,10,11,12],[2,3,7,8,9,12,13],[2,3,9,10,12,13,14],[2,4,5,8,11,13,14],[2,4,6,9,10,11,14],[2,4,7,8,11,12,13],[2,5,6,7,11,12,14],[2,5,6,8,9,10,13],[3,4,5,7,10,13,14],[3,4,5,9,11,12,14],[3,4,6,7,8,10,12],[3,5,6,7,9,11,13],[3,5,6,8,10,12,14],[4,6,7,8,9,10,11]]; G[7895]:=Group([(2,10)(3,11)(4,12)(6,13)]); # Design 7896: autom. group order 2, simple, residual B[7896]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,6,7,9,12,14],[1,3,6,8,11,13,14],[1,3,7,8,9,11,14],[1,4,5,6,9,12,13],[1,4,6,8,12,13,14],[1,4,7,8,9,10,13],[1,5,7,10,11,12,13],[1,5,9,10,11,12,14],[2,3,7,9,12,13,14],[2,3,8,9,10,12,13],[2,4,5,9,11,13,14],[2,4,6,9,10,11,14],[2,4,7,8,11,12,13],[2,5,6,7,8,11,12],[2,5,6,8,10,13,14],[3,4,5,7,10,13,14],[3,4,5,8,11,12,14],[3,4,6,7,10,12,14],[3,5,6,7,9,11,13],[3,5,6,8,9,10,12],[4,6,7,8,9,10,11]]; G[7896]:=Group([(2,10)(3,11)(4,12)(6,13)(8,14)]); # Design 7897: autom. group order 2, simple, residual B[7897]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,11,12,13],[1,3,6,7,9,11,12],[1,3,7,8,9,13,14],[1,4,5,6,8,10,14],[1,4,6,8,9,12,13],[1,4,7,10,12,13,14],[1,5,7,9,10,11,12],[1,5,8,9,10,11,14],[2,3,7,8,10,12,14],[2,3,8,9,10,11,13],[2,4,5,9,10,12,13],[2,4,6,7,9,11,14],[2,4,7,8,9,12,14],[2,5,6,7,9,10,13],[2,5,6,8,11,12,14],[3,4,5,7,8,11,13],[3,4,5,11,12,13,14],[3,4,6,9,10,11,14],[3,5,6,7,8,10,12],[3,5,6,9,12,13,14],[4,6,7,8,10,11,13]]; G[7897]:=Group([(1,13)(3,10)(4,9)(8,12)]); # Design 7898: autom. group order 2, simple, residual B[7898]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,11,12,13],[1,3,6,7,9,11,12],[1,3,7,8,9,13,14],[1,4,5,6,8,10,14],[1,4,6,8,9,12,13],[1,4,7,10,12,13,14],[1,5,7,8,9,10,11],[1,5,9,10,11,12,14],[2,3,7,8,10,12,14],[2,3,8,9,10,11,13],[2,4,5,9,10,12,13],[2,4,6,7,9,11,14],[2,4,7,8,9,12,14],[2,5,6,7,9,10,13],[2,5,6,8,11,12,14],[3,4,5,7,11,12,13],[3,4,5,8,11,13,14],[3,4,6,9,10,11,14],[3,5,6,7,8,10,12],[3,5,6,9,12,13,14],[4,6,7,8,10,11,13]]; G[7898]:=Group([(1,13)(3,10)(4,9)(8,12)]); # Design 7899: autom. group order 2, simple, residual B[7899]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,11,12,13],[1,3,6,7,8,9,11],[1,3,7,8,10,13,14],[1,4,5,6,10,12,14],[1,4,6,8,9,12,13],[1,4,7,9,12,13,14],[1,5,7,9,10,11,12],[1,5,8,9,10,11,14],[2,3,7,8,9,12,14],[2,3,9,10,11,12,13],[2,4,5,8,9,10,13],[2,4,6,7,9,11,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,13],[2,5,6,8,11,12,14],[3,4,5,7,11,12,13],[3,4,5,8,11,13,14],[3,4,6,9,10,11,14],[3,5,6,7,8,10,12],[3,5,6,9,12,13,14],[4,6,7,8,10,11,13]]; G[7899]:=Group([(1,13)(3,10)(4,9)]); # Design 7900: autom. group order 2, simple B[7900]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,10,11,13],[1,2,6,8,9,12,13],[1,3,6,8,9,11,13],[1,3,7,8,10,12,14],[1,4,5,6,7,9,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,14],[1,5,7,8,10,13,14],[1,5,8,9,10,11,12],[2,3,7,8,9,11,14],[2,3,7,9,12,13,14],[2,4,5,8,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,10,11,13],[2,5,6,7,8,11,12],[2,5,6,9,10,12,14],[3,4,5,8,11,13,14],[3,4,5,9,10,12,13],[3,4,6,7,8,10,12],[3,5,6,7,11,12,13],[3,5,6,9,10,11,14],[4,6,7,8,9,10,13]]; G[7900]:=Group([(2,12)(3,11)(5,14)(6,9)(8,13)]); # Design 7901: autom. group order 2, simple, residual B[7901]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,12,13],[1,3,7,8,11,12,14],[1,4,5,6,9,11,12],[1,4,6,10,11,13,14],[1,4,7,8,9,10,13],[1,5,7,9,11,13,14],[1,5,8,9,10,12,14],[2,3,7,9,10,11,14],[2,3,8,9,11,12,13],[2,4,5,7,12,13,14],[2,4,6,8,9,11,14],[2,4,7,9,10,12,13],[2,5,6,7,8,11,13],[2,5,6,9,10,12,14],[3,4,5,7,8,10,14],[3,4,5,11,12,13,14],[3,4,6,8,9,13,14],[3,5,6,7,9,10,11],[3,5,6,8,10,12,13],[4,6,7,8,10,11,12]]; G[7901]:=Group([(1,8)(3,11)(4,13)(9,10)]); # Design 7902: autom. group order 2, simple, residual B[7902]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,12,13],[1,3,7,9,11,12,14],[1,4,5,6,8,11,12],[1,4,6,10,11,13,14],[1,4,7,8,9,10,13],[1,5,7,8,11,13,14],[1,5,8,9,10,12,14],[2,3,7,8,10,11,14],[2,3,8,9,11,12,13],[2,4,5,7,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,9,11,13],[2,5,6,8,10,12,14],[3,4,5,7,9,10,14],[3,4,5,11,12,13,14],[3,4,6,8,9,13,14],[3,5,6,7,8,10,11],[3,5,6,9,10,12,13],[4,6,7,8,9,11,12]]; G[7902]:=Group([(1,9)(3,11)(4,13)(8,10)]); # Design 7903: autom. group order 2, simple B[7903]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,8,10,12],[1,3,6,8,9,12,13],[1,3,7,9,10,11,13],[1,4,5,6,7,9,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,14],[1,5,7,8,10,13,14],[1,5,8,9,10,11,12],[2,3,7,8,9,11,14],[2,3,7,9,12,13,14],[2,4,5,9,10,12,13],[2,4,6,8,9,11,13],[2,4,7,8,10,12,14],[2,5,6,7,11,12,13],[2,5,6,9,10,11,14],[3,4,5,7,10,11,13],[3,4,5,8,12,13,14],[3,4,6,8,10,11,14],[3,5,6,7,8,11,12],[3,5,6,9,10,12,14],[4,6,7,8,9,10,13]]; G[7903]:=Group([(2,11)(3,12)(5,14)(6,9)(8,13)]); # Design 7904: autom. group order 2, simple B[7904]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,8,9,11,14],[1,3,6,7,10,13,14],[1,3,7,9,10,12,14],[1,4,5,6,7,11,12],[1,4,6,11,12,13,14],[1,4,7,8,9,13,14],[1,5,7,8,9,10,12],[1,5,8,10,11,12,13],[2,3,7,8,11,12,14],[2,3,7,9,11,12,13],[2,4,5,7,10,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,11,13],[2,5,6,7,8,12,14],[2,5,6,9,10,12,13],[3,4,5,8,12,13,14],[3,4,5,9,10,11,14],[3,4,6,8,9,12,13],[3,5,6,7,9,11,13],[3,5,6,8,10,11,14],[4,6,7,8,9,10,11]]; G[7904]:=Group([(2,11)(3,12)(5,6)(8,13)(9,14)]); # Design 7905: autom. group order 2, simple B[7905]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,8,9,12,13],[1,3,7,9,11,13,14],[1,4,5,6,9,10,14],[1,4,7,8,10,13,14],[1,4,8,9,11,12,14],[1,5,6,10,11,12,13],[1,5,7,9,10,11,12],[2,3,7,9,10,12,13],[2,3,8,9,10,11,14],[2,4,5,9,12,13,14],[2,4,6,7,9,10,11],[2,4,6,11,12,13,14],[2,5,6,8,9,11,13],[2,5,7,8,10,12,14],[3,4,5,7,11,13,14],[3,4,5,8,10,12,13],[3,4,6,7,8,11,12],[3,5,6,7,9,12,14],[3,5,6,8,10,11,14],[4,6,7,8,9,10,13]]; G[7905]:=Group([(2,11)(3,12)(4,10)(6,9)(8,13)]); # Design 7906: autom. group order 2, simple B[7906]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,12,13,14],[1,3,6,7,9,12,13],[1,3,7,8,9,11,14],[1,4,5,6,9,10,14],[1,4,7,8,10,13,14],[1,4,7,9,11,12,14],[1,5,6,8,10,11,12],[1,5,9,10,11,12,13],[2,3,7,8,9,10,12],[2,3,9,10,11,13,14],[2,4,5,9,12,13,14],[2,4,6,7,11,12,14],[2,4,6,8,9,10,11],[2,5,6,7,9,11,13],[2,5,7,8,10,12,14],[3,4,5,7,10,12,13],[3,4,5,8,11,13,14],[3,4,6,8,11,12,13],[3,5,6,7,10,11,14],[3,5,6,8,9,12,14],[4,6,7,8,9,10,13]]; G[7906]:=Group([(2,11)(3,12)(4,10)(6,9)(7,13)]); # Design 7907: autom. group order 2, simple, residual B[7907]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,12,14],[1,2,6,9,11,13,14],[1,3,6,7,9,12,13],[1,3,7,8,9,10,14],[1,4,5,6,10,11,14],[1,4,7,8,10,12,14],[1,4,7,9,11,12,13],[1,5,6,8,12,13,14],[1,5,8,9,10,11,13],[2,3,7,10,11,13,14],[2,3,8,9,11,12,14],[2,4,5,9,10,12,13],[2,4,6,7,8,11,13],[2,4,6,8,9,12,14],[2,5,6,7,9,10,14],[2,5,7,8,10,12,13],[3,4,5,7,9,13,14],[3,4,5,8,11,13,14],[3,4,6,10,12,13,14],[3,5,6,7,8,11,12],[3,5,6,9,10,11,12],[4,6,7,8,9,10,11]]; G[7907]:=Group([(1,14)(2,13)(6,11)(7,8)]); # Design 7908: autom. group order 2, simple, residual B[7908]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,12,14],[1,2,6,9,11,13,14],[1,3,6,7,9,12,13],[1,3,7,8,9,10,14],[1,4,5,6,10,11,14],[1,4,7,8,10,12,14],[1,4,8,9,11,12,13],[1,5,6,8,12,13,14],[1,5,7,9,10,11,13],[2,3,7,10,11,13,14],[2,3,8,9,11,12,14],[2,4,5,9,10,12,13],[2,4,6,7,8,11,13],[2,4,6,7,9,12,14],[2,5,6,8,9,10,14],[2,5,7,8,10,12,13],[3,4,5,7,9,13,14],[3,4,5,8,11,13,14],[3,4,6,10,12,13,14],[3,5,6,7,8,11,12],[3,5,6,9,10,11,12],[4,6,7,8,9,10,11]]; G[7908]:=Group([(1,14)(2,13)(6,11)(7,8)]); # Design 7909: autom. group order 2, simple, residual B[7909]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,9,11,14],[1,2,6,9,12,13,14],[1,3,6,10,11,12,14],[1,3,7,9,11,13,14],[1,4,5,8,11,12,13],[1,4,6,7,8,12,14],[1,4,6,7,9,10,13],[1,5,7,8,10,11,13],[1,5,8,9,10,12,14],[2,3,7,8,9,12,13],[2,3,7,8,10,11,14],[2,4,5,7,10,12,14],[2,4,6,8,9,11,14],[2,4,9,10,11,12,13],[2,5,6,7,11,12,13],[2,5,6,8,10,13,14],[3,4,5,6,11,13,14],[3,4,5,9,10,13,14],[3,4,7,8,12,13,14],[3,5,6,7,9,10,12],[3,5,6,8,9,11,12],[4,6,7,8,9,10,11]]; G[7909]:=Group([(1,13)(2,14)(6,9)(7,10)(8,11)]); # Design 7910: autom. group order 2, simple, residual B[7910]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,10,13,14],[1,2,6,9,11,13,14],[1,3,6,9,12,13,14],[1,3,7,8,9,12,14],[1,4,5,7,11,13,14],[1,4,6,8,11,12,13],[1,4,7,8,9,10,14],[1,5,6,8,10,11,12],[1,5,7,9,10,11,12],[2,3,7,8,11,12,14],[2,3,8,9,10,11,13],[2,4,5,6,9,12,14],[2,4,6,8,10,12,14],[2,4,7,9,11,12,13],[2,5,6,7,8,9,11],[2,5,7,10,12,13,14],[3,4,5,8,11,13,14],[3,4,5,9,10,12,13],[3,4,6,7,10,11,14],[3,5,6,7,8,12,13],[3,5,6,9,10,11,14],[4,6,7,8,9,10,13]]; G[7910]:=Group([(2,11)(3,12)(4,10)(7,8)]); # Design 7911: autom. group order 2, simple, residual B[7911]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,12,13,14],[1,3,6,8,10,11,14],[1,3,7,9,12,13,14],[1,4,5,10,11,12,14],[1,4,6,7,8,9,14],[1,4,7,8,9,11,12],[1,5,6,9,10,12,13],[1,5,7,9,10,11,13],[2,3,7,9,10,11,14],[2,3,8,9,11,12,13],[2,4,5,6,9,11,13],[2,4,6,9,10,12,14],[2,4,7,8,10,12,13],[2,5,6,7,11,12,14],[2,5,7,8,9,10,14],[3,4,5,7,12,13,14],[3,4,5,8,10,13,14],[3,4,6,9,11,13,14],[3,5,6,7,8,11,12],[3,5,6,8,9,10,12],[4,6,7,8,10,11,13]]; G[7911]:=Group([(1,13)(2,14)(6,12)(9,10)]); # Design 7912: autom. group order 2, simple B[7912]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,10,13,14],[1,2,6,9,11,13,14],[1,3,6,8,11,12,14],[1,3,7,9,11,12,13],[1,4,5,8,9,11,13],[1,4,6,8,9,10,12],[1,4,7,10,12,13,14],[1,5,6,7,8,12,14],[1,5,7,9,10,11,14],[2,3,7,8,9,10,14],[2,3,8,9,12,13,14],[2,4,5,6,12,13,14],[2,4,6,7,9,11,14],[2,4,7,8,11,12,13],[2,5,6,9,10,11,12],[2,5,7,8,10,11,12],[3,4,5,7,9,12,14],[3,4,5,10,11,13,14],[3,4,6,8,10,11,14],[3,5,6,7,8,11,13],[3,5,6,9,10,12,13],[4,6,7,8,9,10,13]]; G[7912]:=Group([(1,12)(3,11)(4,10)(6,8)]); # Design 7913: autom. group order 2, simple, residual B[7913]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,12,13,14],[1,3,6,8,9,11,13],[1,3,7,9,10,11,14],[1,4,5,9,11,12,13],[1,4,6,9,10,12,14],[1,4,7,8,10,12,13],[1,5,6,7,11,12,14],[1,5,7,8,9,10,14],[2,3,7,9,12,13,14],[2,3,8,10,11,12,14],[2,4,5,6,10,11,14],[2,4,6,7,8,9,14],[2,4,7,8,9,11,12],[2,5,6,9,10,12,13],[2,5,7,9,10,11,13],[3,4,5,7,12,13,14],[3,4,5,8,10,13,14],[3,4,6,9,11,13,14],[3,5,6,7,8,11,12],[3,5,6,8,9,10,12],[4,6,7,8,10,11,13]]; G[7913]:=Group([(1,14)(2,13)(6,12)(9,10)]); # Design 7914: autom. group order 2, simple, residual B[7914]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,9,11,14],[1,3,6,8,9,12,13],[1,3,7,8,12,13,14],[1,4,5,8,10,13,14],[1,4,6,7,9,10,14],[1,4,8,9,11,12,14],[1,5,6,10,11,12,13],[1,5,7,9,10,11,12],[2,3,7,8,9,10,12],[2,3,9,10,11,13,14],[2,4,5,6,9,12,13],[2,4,6,8,11,12,14],[2,4,7,8,10,11,13],[2,5,6,8,10,12,14],[2,5,7,9,12,13,14],[3,4,5,7,10,12,14],[3,4,5,9,11,13,14],[3,4,6,7,11,12,13],[3,5,6,7,8,11,14],[3,5,6,8,9,10,11],[4,6,7,8,9,10,13]]; G[7914]:=Group([(2,11)(3,12)(4,10)(6,9)(8,13)]); # Design 7915: autom. group order 2, simple B[7915]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,9,10,13],[1,2,6,7,10,11,14],[1,3,6,9,11,12,13],[1,3,7,9,10,12,14],[1,4,5,8,10,13,14],[1,4,6,9,10,12,13],[1,4,7,8,11,12,14],[1,5,6,8,9,11,14],[1,5,7,8,11,12,13],[2,3,7,8,10,11,13],[2,3,8,9,12,13,14],[2,4,5,6,11,12,13],[2,4,6,8,10,12,14],[2,4,7,9,11,13,14],[2,5,6,7,9,12,14],[2,5,8,9,10,11,12],[3,4,5,7,12,13,14],[3,4,5,9,10,11,14],[3,4,6,7,8,9,11],[3,5,6,7,8,10,12],[3,5,6,10,11,13,14],[4,6,7,8,9,10,13]]; G[7915]:=Group([(1,8)(4,13)(5,14)(6,9)(7,12)]); # Design 7916: autom. group order 2, simple, residual B[7916]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,9,12,13],[1,3,7,8,12,13,14],[1,4,5,7,10,13,14],[1,4,6,8,9,10,14],[1,4,7,9,11,12,14],[1,5,6,8,10,11,12],[1,5,9,10,11,12,13],[2,3,7,9,10,11,14],[2,3,8,9,10,12,13],[2,4,5,6,9,12,13],[2,4,6,11,12,13,14],[2,4,7,8,10,11,13],[2,5,6,7,10,12,14],[2,5,7,8,9,12,14],[3,4,5,8,10,12,14],[3,4,5,9,11,13,14],[3,4,6,7,8,11,12],[3,5,6,7,9,10,11],[3,5,6,8,11,13,14],[4,6,7,8,9,10,13]]; G[7916]:=Group([(2,11)(3,12)(4,10)(6,9)(7,13)]); # Design 7917: autom. group order 2, simple, residual B[7917]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,12,14],[1,2,6,9,11,13,14],[1,3,6,7,9,12,14],[1,3,7,10,11,13,14],[1,4,5,9,10,12,13],[1,4,6,7,8,11,13],[1,4,8,9,11,12,14],[1,5,6,8,9,10,14],[1,5,7,8,10,12,13],[2,3,7,8,9,10,14],[2,3,8,9,11,12,13],[2,4,5,6,10,11,14],[2,4,6,7,9,12,13],[2,4,7,8,10,12,14],[2,5,6,8,12,13,14],[2,5,7,9,10,11,13],[3,4,5,7,9,13,14],[3,4,5,8,11,13,14],[3,4,6,10,12,13,14],[3,5,6,7,8,11,12],[3,5,6,9,10,11,12],[4,6,7,8,9,10,11]]; G[7917]:=Group([(1,13)(2,14)(6,11)(7,8)]); # Design 7918: autom. group order 2, simple B[7918]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,12,14],[1,3,7,9,10,11,13],[1,4,5,9,10,13,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,14],[1,5,6,7,8,10,14],[1,5,8,9,10,11,12],[2,3,7,8,11,13,14],[2,3,8,9,10,12,14],[2,4,5,6,9,11,14],[2,4,6,7,8,10,12],[2,4,7,9,10,11,14],[2,5,6,10,11,12,13],[2,5,7,9,12,13,14],[3,4,5,7,10,12,13],[3,4,5,8,12,13,14],[3,4,6,8,9,11,13],[3,5,6,7,9,11,12],[3,5,6,8,10,11,14],[4,6,7,8,9,10,13]]; G[7918]:=Group([(2,12)(3,11)(5,14)(6,8)(9,13)]); # Design 7919: autom. group order 2, simple, residual B[7919]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,12,14],[1,3,7,8,9,10,14],[1,4,5,9,10,13,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,14],[1,5,6,7,10,11,13],[1,5,8,9,10,11,12],[2,3,7,9,11,12,13],[2,3,8,10,11,13,14],[2,4,5,6,9,11,14],[2,4,6,7,8,10,12],[2,4,7,9,10,11,14],[2,5,6,8,10,12,14],[2,5,7,9,12,13,14],[3,4,5,7,10,12,13],[3,4,5,8,12,13,14],[3,4,6,8,9,11,13],[3,5,6,7,8,11,14],[3,5,6,9,10,11,12],[4,6,7,8,9,10,13]]; G[7919]:=Group([(2,12)(3,11)(5,14)(6,8)(9,13)]); # Design 7920: autom. group order 2, simple, residual B[7920]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,12,14],[1,3,7,8,9,10,14],[1,4,5,9,10,13,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,14],[1,5,6,7,10,11,13],[1,5,8,9,10,11,12],[2,3,7,8,11,13,14],[2,3,9,10,11,12,13],[2,4,5,6,9,11,14],[2,4,6,7,8,10,12],[2,4,7,9,10,11,14],[2,5,6,8,10,12,14],[2,5,7,9,12,13,14],[3,4,5,7,10,12,13],[3,4,5,8,12,13,14],[3,4,6,8,9,11,13],[3,5,6,7,9,11,12],[3,5,6,8,10,11,14],[4,6,7,8,9,10,13]]; G[7920]:=Group([(2,12)(3,11)(5,14)(6,8)(9,13)]); # Design 7921: autom. group order 2, simple, residual B[7921]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,9,11,12],[1,3,8,9,11,13,14],[1,4,5,7,12,13,14],[1,4,6,8,10,11,14],[1,4,7,8,10,12,13],[1,5,6,8,9,12,14],[1,5,7,9,10,11,14],[2,3,7,8,9,10,14],[2,3,7,8,12,13,14],[2,4,5,6,9,13,14],[2,4,6,8,11,12,14],[2,4,7,9,11,12,14],[2,5,6,7,8,10,11],[2,5,9,10,11,12,13],[3,4,5,8,9,10,12],[3,4,5,10,11,13,14],[3,4,6,7,9,11,13],[3,5,6,7,10,12,14],[3,5,6,8,11,12,13],[4,6,7,8,9,10,13]]; G[7921]:=Group([(1,12)(3,11)(5,14)(6,9)]); # Design 7922: autom. group order 2, simple, residual B[7922]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,7,9,11,12],[1,3,8,9,11,13,14],[1,4,5,8,10,12,14],[1,4,6,7,11,13,14],[1,4,7,8,10,12,13],[1,5,6,8,9,12,14],[1,5,7,9,10,11,14],[2,3,7,8,9,10,14],[2,3,7,8,12,13,14],[2,4,5,6,9,13,14],[2,4,6,8,11,12,14],[2,4,7,9,11,12,14],[2,5,6,7,8,10,11],[2,5,9,10,11,12,13],[3,4,5,7,9,12,13],[3,4,5,10,11,13,14],[3,4,6,8,9,10,11],[3,5,6,7,10,12,14],[3,5,6,8,11,12,13],[4,6,7,8,9,10,13]]; G[7922]:=Group([(1,12)(3,11)(5,14)(6,9)]); # Design 7923: autom. group order 2, simple B[7923]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,10,11,13],[1,2,6,8,9,12,13],[1,3,6,8,9,11,13],[1,3,7,8,10,12,14],[1,4,5,7,8,13,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,14],[1,5,6,7,9,10,14],[1,5,8,9,10,11,12],[2,3,7,8,9,11,14],[2,3,7,9,12,13,14],[2,4,5,6,9,12,14],[2,4,6,8,10,11,14],[2,4,7,9,10,11,13],[2,5,6,7,8,11,12],[2,5,8,10,12,13,14],[3,4,5,8,11,13,14],[3,4,5,9,10,12,13],[3,4,6,7,8,10,12],[3,5,6,7,11,12,13],[3,5,6,9,10,11,14],[4,6,7,8,9,10,13]]; G[7923]:=Group([(2,12)(3,11)(5,14)(6,9)(8,13)]); # Design 7924: autom. group order 2, simple, residual B[7924]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,8,9,11,12],[1,3,7,9,11,13,14],[1,4,5,7,10,12,14],[1,4,6,8,11,13,14],[1,4,7,8,10,12,13],[1,5,6,7,9,12,14],[1,5,8,9,10,11,14],[2,3,7,8,9,10,14],[2,3,7,8,12,13,14],[2,4,5,6,9,13,14],[2,4,6,8,11,12,14],[2,4,7,9,11,12,14],[2,5,6,7,8,10,11],[2,5,9,10,11,12,13],[3,4,5,8,9,12,13],[3,4,5,10,11,13,14],[3,4,6,7,9,10,11],[3,5,6,7,11,12,13],[3,5,6,8,10,12,14],[4,6,7,8,9,10,13]]; G[7924]:=Group([(1,12)(3,11)(5,14)(6,9)]); # Design 7925: autom. group order 2, simple, residual B[7925]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,6,9,11,13,14],[1,3,6,9,12,13,14],[1,3,7,8,9,10,14],[1,4,5,7,9,11,14],[1,4,6,8,9,11,12],[1,4,7,8,12,13,14],[1,5,6,7,10,11,12],[1,5,8,10,11,12,13],[2,3,7,8,11,12,14],[2,3,7,9,11,12,13],[2,4,5,6,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,10,11,13],[2,5,6,7,8,9,12],[2,5,8,9,10,12,14],[3,4,5,8,11,13,14],[3,4,5,9,10,12,13],[3,4,6,7,10,12,14],[3,5,6,7,8,11,13],[3,5,6,9,10,11,14],[4,6,7,8,9,10,13]]; G[7925]:=Group([(2,11)(3,12)(4,10)(9,13)]); # Design 7926: autom. group order 2, simple, residual B[7926]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,10,12,13],[1,3,6,8,9,11,12],[1,3,7,9,11,13,14],[1,4,5,8,12,13,14],[1,4,6,7,10,11,14],[1,4,7,8,10,12,13],[1,5,6,7,9,12,14],[1,5,8,9,10,11,14],[2,3,7,8,9,10,14],[2,3,7,8,12,13,14],[2,4,5,6,9,13,14],[2,4,6,8,11,12,14],[2,4,7,9,11,12,14],[2,5,6,7,8,10,11],[2,5,9,10,11,12,13],[3,4,5,7,9,10,12],[3,4,5,10,11,13,14],[3,4,6,8,9,11,13],[3,5,6,7,11,12,13],[3,5,6,8,10,12,14],[4,6,7,8,9,10,13]]; G[7926]:=Group([(1,12)(3,11)(5,14)(6,9)]); # Design 7927: autom. group order 2, simple, residual B[7927]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,6,9,11,13,14],[1,3,6,9,12,13,14],[1,3,7,8,9,12,14],[1,4,5,8,11,13,14],[1,4,6,7,11,12,13],[1,4,7,8,9,10,14],[1,5,6,8,10,11,12],[1,5,7,9,10,11,12],[2,3,7,8,11,12,14],[2,3,7,9,10,11,13],[2,4,5,6,9,12,14],[2,4,6,7,10,12,14],[2,4,8,9,11,12,13],[2,5,6,7,8,9,11],[2,5,8,10,12,13,14],[3,4,5,7,11,13,14],[3,4,5,9,10,12,13],[3,4,6,8,10,11,14],[3,5,6,7,8,12,13],[3,5,6,9,10,11,14],[4,6,7,8,9,10,13]]; G[7927]:=Group([(2,11)(3,12)(4,10)(7,8)]); # Design 7928: autom. group order 2, simple, residual B[7928]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,12,14],[1,2,6,9,11,13,14],[1,3,6,8,9,12,14],[1,3,7,10,11,13,14],[1,4,5,9,10,12,13],[1,4,6,7,8,11,13],[1,4,8,9,11,12,14],[1,5,6,7,9,10,14],[1,5,7,8,10,12,13],[2,3,7,8,9,10,14],[2,3,7,9,11,12,13],[2,4,5,6,10,11,14],[2,4,6,7,9,12,13],[2,4,7,8,10,12,14],[2,5,6,8,12,13,14],[2,5,8,9,10,11,13],[3,4,5,7,9,13,14],[3,4,5,8,11,13,14],[3,4,6,10,12,13,14],[3,5,6,7,8,11,12],[3,5,6,9,10,11,12],[4,6,7,8,9,10,11]]; G[7928]:=Group([(1,13)(2,14)(6,11)(7,8)]); # Design 7929: autom. group order 2, simple, residual B[7929]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,13,14],[1,2,6,7,11,13,14],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,7,9,11,13],[1,4,6,9,10,12,14],[1,4,7,8,10,12,13],[1,5,6,8,9,12,14],[1,5,7,8,10,11,14],[2,3,7,8,9,10,14],[2,3,7,9,12,13,14],[2,4,5,6,12,13,14],[2,4,6,7,8,11,14],[2,4,8,9,11,12,13],[2,5,6,8,10,11,12],[2,5,7,9,10,11,12],[3,4,5,7,8,12,14],[3,4,5,10,11,13,14],[3,4,6,9,10,11,14],[3,5,6,7,10,12,13],[3,5,6,8,9,11,13],[4,6,7,8,9,10,13]]; G[7929]:=Group([(1,12)(3,11)(4,10)(6,9)]); # Design 7930: autom. group order 2, simple, residual B[7930]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,7,8,12,13],[1,3,6,7,9,12,14],[1,3,8,9,10,13,14],[1,4,5,7,10,13,14],[1,4,6,9,11,12,14],[1,4,8,11,12,13,14],[1,5,6,7,9,10,11],[1,5,7,8,10,11,12],[2,3,7,8,10,11,14],[2,3,7,9,11,12,13],[2,4,5,6,11,13,14],[2,4,6,8,9,10,12],[2,4,7,9,10,11,14],[2,5,6,8,10,12,14],[2,5,7,9,12,13,14],[3,4,5,7,8,12,14],[3,4,5,9,10,12,13],[3,4,6,7,8,11,13],[3,5,6,8,9,11,14],[3,5,6,10,11,12,13],[4,6,7,8,9,10,13]]; G[7930]:=Group([(2,12)(3,11)(5,14)(6,8)(7,13)]); # Design 7931: autom. group order 2, simple, residual B[7931]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,9,12,13],[1,3,6,7,10,12,14],[1,3,8,9,10,13,14],[1,4,5,7,10,13,14],[1,4,6,8,11,12,14],[1,4,9,11,12,13,14],[1,5,6,7,8,10,11],[1,5,7,8,9,11,12],[2,3,7,8,11,12,13],[2,3,7,9,10,11,14],[2,4,5,6,11,13,14],[2,4,6,8,9,10,12],[2,4,7,8,10,11,14],[2,5,6,9,10,12,14],[2,5,7,8,12,13,14],[3,4,5,7,9,12,14],[3,4,5,8,10,12,13],[3,4,6,7,9,11,13],[3,5,6,8,9,11,14],[3,5,6,10,11,12,13],[4,6,7,8,9,10,13]]; G[7931]:=Group([(2,12)(3,11)(5,14)(6,9)(7,13)]); # Design 7932: autom. group order 2, simple B[7932]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,13,14],[1,2,6,7,11,13,14],[1,3,6,9,11,12,14],[1,3,7,8,11,12,13],[1,4,5,7,9,11,13],[1,4,6,7,9,10,12],[1,4,8,10,12,13,14],[1,5,6,8,9,12,14],[1,5,7,8,10,11,14],[2,3,7,8,9,10,14],[2,3,7,9,12,13,14],[2,4,5,6,12,13,14],[2,4,6,7,8,11,14],[2,4,8,9,11,12,13],[2,5,6,8,10,11,12],[2,5,7,9,10,11,12],[3,4,5,7,8,12,14],[3,4,5,10,11,13,14],[3,4,6,9,10,11,14],[3,5,6,7,10,12,13],[3,5,6,8,9,11,13],[4,6,7,8,9,10,13]]; G[7932]:=Group([(1,12)(3,11)(4,10)(6,9)]); # Design 7933: autom. group order 2, simple, residual B[7933]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,10,13,14],[1,2,6,7,11,13,14],[1,3,6,9,11,12,14],[1,3,7,8,11,12,13],[1,4,5,7,9,11,13],[1,4,6,9,10,12,14],[1,4,7,8,10,12,14],[1,5,6,7,8,9,12],[1,5,8,10,11,13,14],[2,3,7,8,9,10,14],[2,3,7,9,12,13,14],[2,4,5,6,12,13,14],[2,4,6,7,8,11,14],[2,4,8,9,11,12,13],[2,5,6,8,10,11,12],[2,5,7,9,10,11,12],[3,4,5,7,10,11,14],[3,4,5,8,12,13,14],[3,4,6,9,10,11,13],[3,5,6,7,10,12,13],[3,5,6,8,9,11,14],[4,6,7,8,9,10,13]]; G[7933]:=Group([(1,12)(3,11)(4,10)(6,9)]); # Design 7934: autom. group order 2, simple B[7934]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,9,11,14],[1,2,6,8,12,13,14],[1,3,6,9,11,13,14],[1,3,7,8,10,12,14],[1,4,5,9,10,12,13],[1,4,6,7,8,9,14],[1,4,7,8,11,12,13],[1,5,6,10,11,12,14],[1,5,7,9,10,11,13],[2,3,7,9,10,11,14],[2,3,8,9,11,12,13],[2,4,5,7,11,12,14],[2,4,6,8,10,11,13],[2,4,6,9,10,12,14],[2,5,6,7,9,12,13],[2,5,7,8,10,13,14],[3,4,5,6,11,13,14],[3,4,5,8,10,13,14],[3,4,7,9,12,13,14],[3,5,6,7,8,11,12],[3,5,6,8,9,10,12],[4,6,7,8,9,10,11]]; G[7934]:=Group([(1,13)(2,14)(7,11)(9,10)]); # Design 7935: autom. group order 2, simple, residual B[7935]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,9,11,14],[1,2,6,8,12,13,14],[1,3,6,9,11,13,14],[1,3,7,8,10,12,14],[1,4,5,10,11,12,14],[1,4,6,7,8,9,14],[1,4,7,8,11,12,13],[1,5,6,9,10,12,13],[1,5,7,9,10,11,13],[2,3,7,9,10,11,14],[2,3,8,9,11,12,13],[2,4,5,7,9,12,13],[2,4,6,8,10,11,13],[2,4,6,9,10,12,14],[2,5,6,7,11,12,14],[2,5,7,8,10,13,14],[3,4,5,6,11,13,14],[3,4,5,8,10,13,14],[3,4,7,9,12,13,14],[3,5,6,7,8,11,12],[3,5,6,8,9,10,12],[4,6,7,8,9,10,11]]; G[7935]:=Group([(1,13)(2,14)(7,11)(9,10)]); # Design 7936: autom. group order 2, simple B[7936]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,12,13],[1,3,6,9,10,12,14],[1,3,7,8,9,10,14],[1,4,5,9,10,13,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,14],[1,5,6,7,10,11,13],[1,5,7,8,9,11,12],[2,3,7,9,11,12,13],[2,3,8,10,11,13,14],[2,4,5,7,10,12,14],[2,4,6,7,9,10,11],[2,4,6,8,9,11,14],[2,5,6,8,10,12,14],[2,5,7,9,12,13,14],[3,4,5,6,8,12,13],[3,4,5,9,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,8,11,14],[3,5,6,9,10,11,12],[4,6,7,8,9,10,13]]; G[7936]:=Group([(2,12)(3,11)(5,14)(6,8)(9,13)]); # Design 7937: autom. group order 2, simple, residual B[7937]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,9,11,14],[1,2,6,8,12,13,14],[1,3,6,9,11,13,14],[1,3,8,9,10,12,13],[1,4,5,7,9,12,14],[1,4,6,7,8,10,14],[1,4,7,8,11,12,13],[1,5,6,10,11,12,14],[1,5,7,9,10,11,13],[2,3,7,8,11,12,14],[2,3,7,9,10,11,14],[2,4,5,10,11,12,13],[2,4,6,8,9,11,13],[2,4,6,9,10,12,14],[2,5,6,7,9,12,13],[2,5,7,8,10,13,14],[3,4,5,6,11,13,14],[3,4,5,8,10,13,14],[3,4,7,9,12,13,14],[3,5,6,7,8,11,12],[3,5,6,8,9,10,12],[4,6,7,8,9,10,11]]; G[7937]:=Group([(1,13)(2,14)(7,11)(9,10)]); # Design 7938: autom. group order 2, simple, residual B[7938]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,9,11,14],[1,2,6,8,12,13,14],[1,3,6,9,11,13,14],[1,3,8,9,10,12,13],[1,4,5,7,10,12,14],[1,4,6,7,8,9,14],[1,4,7,8,11,12,13],[1,5,6,10,11,12,14],[1,5,7,9,10,11,13],[2,3,7,8,11,12,14],[2,3,7,9,10,11,14],[2,4,5,9,11,12,13],[2,4,6,8,10,11,13],[2,4,6,9,10,12,14],[2,5,6,7,9,12,13],[2,5,7,8,10,13,14],[3,4,5,6,11,13,14],[3,4,5,8,10,13,14],[3,4,7,9,12,13,14],[3,5,6,7,8,11,12],[3,5,6,8,9,10,12],[4,6,7,8,9,10,11]]; G[7938]:=Group([(1,13)(2,14)(7,11)(9,10)]); # Design 7939: autom. group order 2, simple, residual B[7939]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,9,11,14],[1,2,6,8,12,13,14],[1,3,6,9,11,13,14],[1,3,8,10,11,12,14],[1,4,5,7,10,12,14],[1,4,6,7,8,9,14],[1,4,7,8,11,12,13],[1,5,6,9,10,12,13],[1,5,7,9,10,11,13],[2,3,7,8,9,12,13],[2,3,7,9,10,11,14],[2,4,5,9,11,12,13],[2,4,6,8,10,11,13],[2,4,6,9,10,12,14],[2,5,6,7,11,12,14],[2,5,7,8,10,13,14],[3,4,5,6,11,13,14],[3,4,5,8,10,13,14],[3,4,7,9,12,13,14],[3,5,6,7,8,11,12],[3,5,6,8,9,10,12],[4,6,7,8,9,10,11]]; G[7939]:=Group([(1,13)(2,14)(7,11)(9,10)]); # Design 7940: autom. group order 2, simple B[7940]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,13,14],[1,2,6,9,11,12,13],[1,3,6,8,9,10,14],[1,3,9,10,11,13,14],[1,4,5,7,10,11,13],[1,4,6,8,11,12,13],[1,4,7,8,9,12,14],[1,5,6,7,8,10,12],[1,5,7,9,11,12,14],[2,3,7,8,9,12,13],[2,3,7,8,10,11,12],[2,4,5,9,10,12,14],[2,4,6,7,9,11,14],[2,4,6,8,10,11,14],[2,5,6,9,10,12,13],[2,5,7,8,11,13,14],[3,4,5,6,12,13,14],[3,4,5,8,9,11,13],[3,4,7,10,12,13,14],[3,5,6,7,9,10,11],[3,5,6,8,11,12,14],[4,6,7,8,9,10,13]]; G[7940]:=Group([(1,9)(3,12)(4,13)(5,6)(7,10)(8,11)]); # Design 7941: autom. group order 2, simple, residual B[7941]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,9,11,14],[1,2,6,8,12,13,14],[1,3,6,9,11,13,14],[1,3,8,9,10,12,13],[1,4,5,7,9,12,14],[1,4,6,8,10,11,14],[1,4,7,8,11,12,13],[1,5,6,7,10,12,14],[1,5,7,9,10,11,13],[2,3,7,8,11,12,14],[2,3,7,9,10,11,14],[2,4,5,10,11,12,13],[2,4,6,7,8,9,13],[2,4,6,9,10,12,14],[2,5,6,9,11,12,13],[2,5,7,8,10,13,14],[3,4,5,6,11,13,14],[3,4,5,8,10,13,14],[3,4,7,9,12,13,14],[3,5,6,7,8,11,12],[3,5,6,8,9,10,12],[4,6,7,8,9,10,11]]; G[7941]:=Group([(1,13)(2,14)(7,11)(9,10)]); # Design 7942: autom. group order 2, simple, residual B[7942]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,9,11,14],[1,2,6,8,12,13,14],[1,3,6,9,11,13,14],[1,3,8,9,10,12,13],[1,4,5,7,10,12,14],[1,4,6,8,10,11,14],[1,4,7,8,11,12,13],[1,5,6,7,9,12,14],[1,5,7,9,10,11,13],[2,3,7,8,11,12,14],[2,3,7,9,10,11,14],[2,4,5,9,11,12,13],[2,4,6,7,8,9,13],[2,4,6,9,10,12,14],[2,5,6,10,11,12,13],[2,5,7,8,10,13,14],[3,4,5,6,11,13,14],[3,4,5,8,10,13,14],[3,4,7,9,12,13,14],[3,5,6,7,8,11,12],[3,5,6,8,9,10,12],[4,6,7,8,9,10,11]]; G[7942]:=Group([(1,13)(2,14)(7,11)(9,10)]); # Design 7943: autom. group order 2, simple, residual B[7943]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,9,11,14],[1,2,6,8,12,13,14],[1,3,6,9,11,13,14],[1,3,8,9,10,12,13],[1,4,5,10,11,12,14],[1,4,6,7,8,9,14],[1,4,7,8,11,12,13],[1,5,6,7,10,12,14],[1,5,7,9,10,11,13],[2,3,7,8,11,12,14],[2,3,7,9,10,11,14],[2,4,5,7,9,12,13],[2,4,6,8,10,11,13],[2,4,6,9,10,12,14],[2,5,6,9,11,12,13],[2,5,7,8,10,13,14],[3,4,5,6,11,13,14],[3,4,5,8,10,13,14],[3,4,7,9,12,13,14],[3,5,6,7,8,11,12],[3,5,6,8,9,10,12],[4,6,7,8,9,10,11]]; G[7943]:=Group([(1,13)(2,14)(7,11)(9,10)]); # Design 7944: autom. group order 2, simple, residual B[7944]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,9,11,14],[1,2,6,8,12,13,14],[1,3,6,9,11,13,14],[1,3,8,9,10,12,13],[1,4,5,10,11,12,14],[1,4,6,7,8,10,14],[1,4,7,8,11,12,13],[1,5,6,7,9,12,14],[1,5,7,9,10,11,13],[2,3,7,8,11,12,14],[2,3,7,9,10,11,14],[2,4,5,7,9,12,13],[2,4,6,8,9,11,13],[2,4,6,9,10,12,14],[2,5,6,10,11,12,13],[2,5,7,8,10,13,14],[3,4,5,6,11,13,14],[3,4,5,8,10,13,14],[3,4,7,9,12,13,14],[3,5,6,7,8,11,12],[3,5,6,8,9,10,12],[4,6,7,8,9,10,11]]; G[7944]:=Group([(1,13)(2,14)(7,11)(9,10)]); # Design 7945: autom. group order 2, simple B[7945]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,9,11,14],[1,2,6,8,12,13,14],[1,3,6,9,11,13,14],[1,3,8,10,11,12,14],[1,4,5,9,10,12,13],[1,4,6,7,8,9,14],[1,4,7,8,11,12,13],[1,5,6,7,10,12,14],[1,5,7,9,10,11,13],[2,3,7,8,9,12,13],[2,3,7,9,10,11,14],[2,4,5,7,11,12,14],[2,4,6,8,10,11,13],[2,4,6,9,10,12,14],[2,5,6,9,11,12,13],[2,5,7,8,10,13,14],[3,4,5,6,11,13,14],[3,4,5,8,10,13,14],[3,4,7,9,12,13,14],[3,5,6,7,8,11,12],[3,5,6,8,9,10,12],[4,6,7,8,9,10,11]]; G[7945]:=Group([(1,13)(2,14)(7,11)(9,10)]); # Design 7946: autom. group order 2, simple, residual B[7946]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,7,9,12,14],[1,3,6,10,12,13,14],[1,3,7,9,11,12,13],[1,4,5,8,12,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,11,13],[1,5,6,8,9,11,14],[1,5,7,8,9,10,12],[2,3,7,8,9,10,14],[2,3,8,9,11,13,14],[2,4,5,7,10,13,14],[2,4,6,7,8,11,12],[2,4,6,9,12,13,14],[2,5,6,9,10,11,12],[2,5,8,10,11,12,13],[3,4,5,6,9,11,13],[3,4,5,9,10,12,14],[3,4,7,8,11,12,14],[3,5,6,7,8,12,13],[3,5,6,7,10,11,14],[4,6,7,8,9,10,13]]; G[7946]:=Group([(1,11)(3,12)(4,10)(6,8)(7,13)]); # Design 7947: autom. group order 2, simple, residual B[7947]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,11,13,14],[1,3,6,7,8,12,13],[1,3,7,8,10,11,14],[1,4,5,7,9,10,14],[1,4,6,8,9,10,12],[1,4,7,9,11,12,13],[1,5,6,10,11,12,14],[1,5,8,9,12,13,14],[2,3,7,9,11,12,14],[2,3,8,9,10,12,13],[2,4,5,10,11,12,13],[2,4,6,7,8,12,14],[2,4,6,8,9,11,14],[2,5,6,7,9,10,13],[2,5,7,8,10,12,14],[3,4,5,6,12,13,14],[3,4,5,8,11,13,14],[3,4,7,9,10,13,14],[3,5,6,7,9,11,12],[3,5,6,8,9,10,11],[4,6,7,8,10,11,13]]; G[7947]:=Group([(1,13)(2,14)(7,12)(9,11)]); # Design 7948: autom. group order 2, simple, residual B[7948]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,9,11,14],[1,2,6,9,12,13,14],[1,3,6,7,11,12,13],[1,3,7,8,10,11,14],[1,4,5,7,10,12,14],[1,4,6,8,9,11,14],[1,4,7,8,9,12,13],[1,5,6,8,10,13,14],[1,5,9,10,11,12,13],[2,3,7,9,11,13,14],[2,3,8,9,10,12,14],[2,4,5,8,11,12,13],[2,4,6,7,9,10,13],[2,4,6,10,11,12,14],[2,5,6,7,8,12,14],[2,5,7,8,10,11,13],[3,4,5,6,11,13,14],[3,4,5,9,10,13,14],[3,4,7,8,12,13,14],[3,5,6,7,9,10,12],[3,5,6,8,9,11,12],[4,6,7,8,9,10,11]]; G[7948]:=Group([(1,14)(2,13)(6,9)(7,10)(8,11)]); # Design 7949: autom. group order 2, simple, residual B[7949]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,9,11,14],[1,2,6,9,12,13,14],[1,3,6,7,11,12,13],[1,3,7,8,10,11,14],[1,4,5,7,10,12,14],[1,4,6,8,9,11,14],[1,4,9,10,11,12,13],[1,5,6,8,10,13,14],[1,5,7,8,9,12,13],[2,3,7,9,11,13,14],[2,3,8,9,10,12,14],[2,4,5,8,11,12,13],[2,4,6,7,8,12,14],[2,4,6,7,9,10,13],[2,5,6,10,11,12,14],[2,5,7,8,10,11,13],[3,4,5,6,11,13,14],[3,4,5,9,10,13,14],[3,4,7,8,12,13,14],[3,5,6,7,9,10,12],[3,5,6,8,9,11,12],[4,6,7,8,9,10,11]]; G[7949]:=Group([(1,14)(2,13)(6,9)(7,10)(8,11)]); # Design 7950: autom. group order 2, simple B[7950]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,12,14],[1,3,7,9,10,11,13],[1,4,5,9,10,13,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,14],[1,5,6,7,8,10,14],[1,5,8,9,10,11,12],[2,3,7,8,11,13,14],[2,3,8,9,10,12,14],[2,4,5,7,10,12,14],[2,4,6,7,9,10,11],[2,4,6,8,9,11,14],[2,5,6,10,11,12,13],[2,5,7,9,12,13,14],[3,4,5,6,8,12,13],[3,4,5,9,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,11,12],[3,5,6,8,10,11,14],[4,6,7,8,9,10,13]]; G[7950]:=Group([(2,12)(3,11)(5,14)(6,8)(9,13)]); # Design 7951: autom. group order 2, simple B[7951]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,12,14],[1,3,7,8,9,10,14],[1,4,5,9,10,13,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,14],[1,5,6,7,10,11,13],[1,5,8,9,10,11,12],[2,3,7,9,11,12,13],[2,3,8,10,11,13,14],[2,4,5,7,10,12,14],[2,4,6,7,9,10,11],[2,4,6,8,9,11,14],[2,5,6,8,10,12,14],[2,5,7,9,12,13,14],[3,4,5,6,8,12,13],[3,4,5,9,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,8,11,14],[3,5,6,9,10,11,12],[4,6,7,8,9,10,13]]; G[7951]:=Group([(2,12)(3,11)(5,14)(6,8)(9,13)]); # Design 7952: autom. group order 2, simple B[7952]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,12,14],[1,3,7,8,9,10,14],[1,4,5,9,10,13,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,14],[1,5,6,7,10,11,13],[1,5,8,9,10,11,12],[2,3,7,8,11,13,14],[2,3,9,10,11,12,13],[2,4,5,7,10,12,14],[2,4,6,7,9,10,11],[2,4,6,8,9,11,14],[2,5,6,8,10,12,14],[2,5,7,9,12,13,14],[3,4,5,6,8,12,13],[3,4,5,9,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,11,12],[3,5,6,8,10,11,14],[4,6,7,8,9,10,13]]; G[7952]:=Group([(2,12)(3,11)(5,14)(6,8)(9,13)]); # Design 7953: autom. group order 2, simple, residual B[7953]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,11,13,14],[1,3,6,7,8,12,14],[1,3,8,9,10,12,13],[1,4,5,9,10,11,14],[1,4,6,7,8,9,13],[1,4,7,9,11,12,14],[1,5,6,10,11,12,13],[1,5,7,8,10,12,14],[2,3,7,8,10,11,14],[2,3,7,9,11,12,13],[2,4,5,7,10,12,13],[2,4,6,8,9,10,12],[2,4,6,8,11,12,14],[2,5,6,7,9,10,14],[2,5,8,9,12,13,14],[3,4,5,6,12,13,14],[3,4,5,8,11,13,14],[3,4,7,9,10,13,14],[3,5,6,7,9,11,12],[3,5,6,8,9,10,11],[4,6,7,8,10,11,13]]; G[7953]:=Group([(1,14)(2,13)(7,12)(9,11)]); # Design 7954: autom. group order 2, simple, residual B[7954]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,11,13,14],[1,3,6,7,8,12,14],[1,3,8,10,11,12,13],[1,4,5,9,10,11,14],[1,4,6,7,8,9,13],[1,4,7,9,11,12,14],[1,5,6,9,10,12,13],[1,5,7,8,10,12,14],[2,3,7,8,9,10,14],[2,3,7,9,11,12,13],[2,4,5,7,10,12,13],[2,4,6,8,9,10,12],[2,4,6,8,11,12,14],[2,5,6,7,10,11,14],[2,5,8,9,12,13,14],[3,4,5,6,12,13,14],[3,4,5,8,11,13,14],[3,4,7,9,10,13,14],[3,5,6,7,9,11,12],[3,5,6,8,9,10,11],[4,6,7,8,10,11,13]]; G[7954]:=Group([(1,14)(2,13)(7,12)(9,11)]); # Design 7955: autom. group order 2, simple, residual B[7955]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,9,11,14],[1,2,6,9,12,13,14],[1,3,6,7,11,13,14],[1,3,9,10,11,12,14],[1,4,5,8,10,12,14],[1,4,6,7,8,9,14],[1,4,7,9,10,12,13],[1,5,6,8,11,12,13],[1,5,7,8,10,11,13],[2,3,7,8,9,12,13],[2,3,7,8,10,11,14],[2,4,5,7,11,12,13],[2,4,6,8,11,12,14],[2,4,6,9,10,11,13],[2,5,6,7,10,12,14],[2,5,8,9,10,13,14],[3,4,5,6,10,13,14],[3,4,5,9,11,13,14],[3,4,7,8,12,13,14],[3,5,6,7,9,10,12],[3,5,6,8,9,11,12],[4,6,7,8,9,10,11]]; G[7955]:=Group([(1,13)(2,14)(7,10)(8,11)]); # Design 7956: autom. group order 2, simple B[7956]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,9,11,14],[1,2,6,9,12,13,14],[1,3,6,7,11,13,14],[1,3,9,10,11,12,14],[1,4,5,8,11,12,13],[1,4,6,7,8,9,14],[1,4,7,9,10,12,13],[1,5,6,8,10,12,14],[1,5,7,8,10,11,13],[2,3,7,8,9,12,13],[2,3,7,8,10,11,14],[2,4,5,7,10,12,14],[2,4,6,8,11,12,14],[2,4,6,9,10,11,13],[2,5,6,7,11,12,13],[2,5,8,9,10,13,14],[3,4,5,6,10,13,14],[3,4,5,9,11,13,14],[3,4,7,8,12,13,14],[3,5,6,7,9,10,12],[3,5,6,8,9,11,12],[4,6,7,8,9,10,11]]; G[7956]:=Group([(1,13)(2,14)(7,10)(8,11)]); # Design 7957: autom. group order 2, simple B[7957]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,9,11,14],[1,2,6,9,12,13,14],[1,3,6,7,11,13,14],[1,3,8,9,10,12,14],[1,4,5,8,11,12,13],[1,4,6,7,8,9,14],[1,4,7,9,10,12,13],[1,5,6,10,11,12,14],[1,5,7,8,10,11,13],[2,3,7,8,10,11,14],[2,3,7,9,11,12,13],[2,4,5,7,10,12,14],[2,4,6,8,11,12,14],[2,4,6,9,10,11,13],[2,5,6,7,8,12,13],[2,5,8,9,10,13,14],[3,4,5,6,10,13,14],[3,4,5,9,11,13,14],[3,4,7,8,12,13,14],[3,5,6,7,9,10,12],[3,5,6,8,9,11,12],[4,6,7,8,9,10,11]]; G[7957]:=Group([(1,13)(2,14)(7,10)(8,11)]); # Design 7958: autom. group order 2, simple, residual B[7958]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,9,11,14],[1,2,6,9,12,13,14],[1,3,6,7,11,13,14],[1,3,8,9,11,12,13],[1,4,5,8,10,12,14],[1,4,6,7,8,9,14],[1,4,7,9,10,12,13],[1,5,6,10,11,12,14],[1,5,7,8,10,11,13],[2,3,7,8,10,11,14],[2,3,7,9,10,12,14],[2,4,5,7,11,12,13],[2,4,6,8,11,12,14],[2,4,6,9,10,11,13],[2,5,6,7,8,12,13],[2,5,8,9,10,13,14],[3,4,5,6,10,13,14],[3,4,5,9,11,13,14],[3,4,7,8,12,13,14],[3,5,6,7,9,10,12],[3,5,6,8,9,11,12],[4,6,7,8,9,10,11]]; G[7958]:=Group([(1,13)(2,14)(7,10)(8,11)]); # Design 7959: autom. group order 2, simple B[7959]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,11,13,14],[1,3,6,7,8,12,14],[1,3,8,9,10,12,13],[1,4,5,10,11,12,13],[1,4,6,8,9,11,14],[1,4,7,9,11,12,14],[1,5,6,7,9,10,13],[1,5,7,8,10,12,14],[2,3,7,8,10,11,14],[2,3,7,9,11,12,13],[2,4,5,7,9,10,14],[2,4,6,7,8,12,13],[2,4,6,8,9,10,12],[2,5,6,10,11,12,14],[2,5,8,9,12,13,14],[3,4,5,6,12,13,14],[3,4,5,8,11,13,14],[3,4,7,9,10,13,14],[3,5,6,7,9,11,12],[3,5,6,8,9,10,11],[4,6,7,8,10,11,13]]; G[7959]:=Group([(1,14)(2,13)(7,12)(9,11)]); # Design 7960: autom. group order 2, simple, residual B[7960]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,11,13,14],[1,3,6,7,8,12,14],[1,3,8,10,11,12,13],[1,4,5,9,10,11,14],[1,4,6,8,9,12,13],[1,4,7,9,11,12,14],[1,5,6,7,9,10,13],[1,5,7,8,10,12,14],[2,3,7,8,9,10,14],[2,3,7,9,11,12,13],[2,4,5,7,10,12,13],[2,4,6,7,8,11,14],[2,4,6,8,9,10,12],[2,5,6,10,11,12,14],[2,5,8,9,12,13,14],[3,4,5,6,12,13,14],[3,4,5,8,11,13,14],[3,4,7,9,10,13,14],[3,5,6,7,9,11,12],[3,5,6,8,9,10,11],[4,6,7,8,10,11,13]]; G[7960]:=Group([(1,14)(2,13)(7,12)(9,11)]); # Design 7961: autom. group order 2, simple B[7961]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,9,11,13,14],[1,3,6,7,8,12,14],[1,3,8,10,11,12,13],[1,4,5,9,10,12,13],[1,4,6,8,9,11,14],[1,4,7,9,11,12,14],[1,5,6,7,9,10,13],[1,5,7,8,10,12,14],[2,3,7,8,9,10,14],[2,3,7,9,11,12,13],[2,4,5,7,10,11,14],[2,4,6,7,8,12,13],[2,4,6,8,9,10,12],[2,5,6,10,11,12,14],[2,5,8,9,12,13,14],[3,4,5,6,12,13,14],[3,4,5,8,11,13,14],[3,4,7,9,10,13,14],[3,5,6,7,9,11,12],[3,5,6,8,9,10,11],[4,6,7,8,10,11,13]]; G[7961]:=Group([(1,14)(2,13)(7,12)(9,11)]); # Design 7962: autom. group order 2, simple B[7962]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,9,11,14],[1,2,6,9,12,13,14],[1,3,6,7,11,13,14],[1,3,9,10,11,12,14],[1,4,5,8,11,12,13],[1,4,6,8,9,10,14],[1,4,7,9,10,12,13],[1,5,6,7,8,12,14],[1,5,7,8,10,11,13],[2,3,7,8,9,12,13],[2,3,7,8,10,11,14],[2,4,5,7,10,12,14],[2,4,6,7,9,11,13],[2,4,6,8,11,12,14],[2,5,6,10,11,12,13],[2,5,8,9,10,13,14],[3,4,5,6,10,13,14],[3,4,5,9,11,13,14],[3,4,7,8,12,13,14],[3,5,6,7,9,10,12],[3,5,6,8,9,11,12],[4,6,7,8,9,10,11]]; G[7962]:=Group([(1,13)(2,14)(7,10)(8,11)]); # Design 7963: autom. group order 2, simple B[7963]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,9,11,14],[1,2,6,9,12,13,14],[1,3,6,7,11,13,14],[1,3,8,9,10,12,14],[1,4,5,8,11,12,13],[1,4,6,9,10,11,14],[1,4,7,9,10,12,13],[1,5,6,7,8,12,14],[1,5,7,8,10,11,13],[2,3,7,8,10,11,14],[2,3,7,9,11,12,13],[2,4,5,7,10,12,14],[2,4,6,7,8,9,13],[2,4,6,8,11,12,14],[2,5,6,10,11,12,13],[2,5,8,9,10,13,14],[3,4,5,6,10,13,14],[3,4,5,9,11,13,14],[3,4,7,8,12,13,14],[3,5,6,7,9,10,12],[3,5,6,8,9,11,12],[4,6,7,8,9,10,11]]; G[7963]:=Group([(1,13)(2,14)(7,10)(8,11)]); # Design 7964: autom. group order 2, simple, residual B[7964]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,9,11,14],[1,2,6,9,12,13,14],[1,3,6,7,11,13,14],[1,3,8,9,11,12,13],[1,4,5,8,10,12,14],[1,4,6,9,10,11,14],[1,4,7,9,10,12,13],[1,5,6,7,8,12,14],[1,5,7,8,10,11,13],[2,3,7,8,10,11,14],[2,3,7,9,10,12,14],[2,4,5,7,11,12,13],[2,4,6,7,8,9,13],[2,4,6,8,11,12,14],[2,5,6,10,11,12,13],[2,5,8,9,10,13,14],[3,4,5,6,10,13,14],[3,4,5,9,11,13,14],[3,4,7,8,12,13,14],[3,5,6,7,9,10,12],[3,5,6,8,9,11,12],[4,6,7,8,9,10,11]]; G[7964]:=Group([(1,13)(2,14)(7,10)(8,11)]); # Design 7965: autom. group order 2, simple, residual B[7965]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,8,9,10,12],[1,3,6,7,9,11,13],[1,3,9,10,11,12,14],[1,4,5,10,11,13,14],[1,4,6,9,12,13,14],[1,4,7,8,12,13,14],[1,5,6,7,8,10,14],[1,5,7,8,9,11,12],[2,3,7,8,11,12,14],[2,3,7,9,10,13,14],[2,4,5,7,9,12,14],[2,4,6,7,11,12,13],[2,4,6,8,10,11,14],[2,5,6,9,10,12,13],[2,5,8,9,11,13,14],[3,4,5,6,9,11,14],[3,4,5,8,10,12,13],[3,4,7,8,9,10,13],[3,5,6,7,10,12,14],[3,5,6,8,11,12,13],[4,6,7,8,9,10,11]]; G[7965]:=Group([(2,14)(3,13)(5,12)(7,9)]); # Design 7966: autom. group order 2, simple, residual B[7966]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,9,11,14],[1,2,6,9,12,13,14],[1,3,6,10,11,12,14],[1,3,7,9,11,13,14],[1,4,5,8,11,12,13],[1,4,6,7,9,10,13],[1,4,8,9,10,12,14],[1,5,6,7,8,12,14],[1,5,7,8,10,11,13],[2,3,7,8,9,12,13],[2,3,7,8,10,11,14],[2,4,5,7,10,12,14],[2,4,6,7,11,12,13],[2,4,6,8,9,11,14],[2,5,6,8,10,13,14],[2,5,9,10,11,12,13],[3,4,5,6,11,13,14],[3,4,5,9,10,13,14],[3,4,7,8,12,13,14],[3,5,6,7,9,10,12],[3,5,6,8,9,11,12],[4,6,7,8,9,10,11]]; G[7966]:=Group([(1,13)(2,14)(6,9)(7,10)(8,11)]); # Design 7967: autom. group order 2, simple B[7967]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,9,12,13],[1,3,6,7,10,12,14],[1,3,7,8,10,11,13],[1,4,5,7,10,13,14],[1,4,6,8,11,12,14],[1,4,9,11,12,13,14],[1,5,6,8,9,10,14],[1,5,7,8,9,11,12],[2,3,7,8,9,11,14],[2,3,9,10,12,13,14],[2,4,5,8,10,12,14],[2,4,6,7,9,11,14],[2,4,6,8,10,11,13],[2,5,6,7,10,11,12],[2,5,7,8,12,13,14],[3,4,5,6,9,12,13],[3,4,5,7,11,13,14],[3,4,7,8,9,10,12],[3,5,6,8,11,12,13],[3,5,6,9,10,11,14],[4,6,7,8,9,10,13]]; G[7967]:=Group([(2,12)(3,11)(5,14)(6,9)(7,13)]); # Design 7968: autom. group order 2, simple, residual B[7968]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,8,10,12],[1,3,6,7,9,11,13],[1,3,7,10,11,12,14],[1,4,5,10,11,13,14],[1,4,6,9,12,13,14],[1,4,7,8,12,13,14],[1,5,6,8,9,10,14],[1,5,7,8,9,11,12],[2,3,7,9,10,13,14],[2,3,8,9,11,12,14],[2,4,5,7,9,12,14],[2,4,6,8,10,11,14],[2,4,6,9,11,12,13],[2,5,6,7,10,12,13],[2,5,7,8,11,13,14],[3,4,5,6,7,11,14],[3,4,5,8,10,12,13],[3,4,7,8,9,10,13],[3,5,6,8,11,12,13],[3,5,6,9,10,12,14],[4,6,7,8,9,10,11]]; G[7968]:=Group([(2,14)(3,13)(5,12)(7,9)]); # Design 7969: autom. group order 2, simple B[7969]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,9,12,13],[1,3,6,7,10,12,14],[1,3,8,9,10,13,14],[1,4,5,7,10,13,14],[1,4,6,8,11,12,14],[1,4,9,11,12,13,14],[1,5,6,7,8,10,11],[1,5,7,8,9,11,12],[2,3,7,8,9,11,14],[2,3,7,10,11,12,13],[2,4,5,8,10,12,14],[2,4,6,7,9,11,14],[2,4,6,8,10,11,13],[2,5,6,9,10,12,14],[2,5,7,8,12,13,14],[3,4,5,6,9,12,13],[3,4,5,7,11,13,14],[3,4,7,8,9,10,12],[3,5,6,8,11,12,13],[3,5,6,9,10,11,14],[4,6,7,8,9,10,13]]; G[7969]:=Group([(2,12)(3,11)(5,14)(6,9)(7,13)]); # Design 7970: autom. group order 2, simple B[7970]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,9,12,13],[1,3,6,7,10,12,14],[1,3,8,9,10,13,14],[1,4,5,7,10,13,14],[1,4,6,8,11,12,14],[1,4,9,11,12,13,14],[1,5,6,7,8,10,11],[1,5,7,8,9,11,12],[2,3,7,8,11,12,13],[2,3,7,9,10,11,14],[2,4,5,8,10,12,14],[2,4,6,7,9,11,14],[2,4,6,8,10,11,13],[2,5,6,9,10,12,14],[2,5,7,8,12,13,14],[3,4,5,6,9,12,13],[3,4,5,7,11,13,14],[3,4,7,8,9,10,12],[3,5,6,8,9,11,14],[3,5,6,10,11,12,13],[4,6,7,8,9,10,13]]; G[7970]:=Group([(2,12)(3,11)(5,14)(6,9)(7,13)]); # Design 7971: autom. group order 2, simple, residual B[7971]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,10,11],[1,3,6,8,9,12,13],[1,3,7,8,10,12,13],[1,4,5,7,8,13,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,14],[1,5,6,7,9,10,14],[1,5,8,9,10,11,12],[2,3,7,8,9,12,14],[2,3,7,9,11,13,14],[2,4,5,7,10,12,13],[2,4,6,8,9,11,13],[2,4,6,8,10,12,14],[2,5,6,7,8,11,12],[2,5,9,10,12,13,14],[3,4,5,6,9,12,14],[3,4,5,9,10,11,13],[3,4,7,8,10,11,14],[3,5,6,7,11,12,13],[3,5,6,8,10,11,14],[4,6,7,8,9,10,13]]; G[7971]:=Group([(2,11)(3,12)(5,14)(6,9)(8,13)]); # Design 7972: autom. group order 2, simple, residual B[7972]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,9,11,13,14],[1,2,6,7,12,13,14],[1,3,6,9,10,12,14],[1,3,7,9,11,12,13],[1,4,5,7,8,12,13],[1,4,6,8,10,11,14],[1,4,7,9,10,11,13],[1,5,6,7,8,11,14],[1,5,8,9,10,12,14],[2,3,7,8,9,11,14],[2,3,7,8,10,13,14],[2,4,5,9,10,13,14],[2,4,6,7,9,12,14],[2,4,6,8,9,11,12],[2,5,6,10,11,12,13],[2,5,7,8,10,11,12],[3,4,5,6,11,13,14],[3,4,5,7,10,12,14],[3,4,8,11,12,13,14],[3,5,6,7,9,10,11],[3,5,6,8,9,12,13],[4,6,7,8,9,10,13]]; G[7972]:=Group([(1,11)(3,12)(4,10)(6,8)(9,13)]); # Design 7973: autom. group order 2, simple, residual B[7973]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,8,12,14],[1,3,6,9,11,12,14],[1,3,7,8,11,13,14],[1,4,5,9,11,12,14],[1,4,6,7,8,9,10],[1,4,8,10,12,13,14],[1,5,6,7,9,12,13],[1,5,7,9,10,11,13],[2,3,7,8,9,12,13],[2,3,7,9,10,11,12],[2,4,5,7,12,13,14],[2,4,6,8,9,11,13],[2,4,6,9,11,13,14],[2,5,6,7,10,11,14],[2,5,8,9,10,12,14],[3,4,5,6,10,12,13],[3,4,5,7,8,11,14],[3,4,7,9,10,13,14],[3,5,6,8,9,10,14],[3,5,6,8,11,12,13],[4,6,7,8,10,11,12]]; G[7973]:=Group([(1,12)(2,13)(3,5)(4,6)(7,10)(9,11)]); # Design 7974: autom. group order 2, simple, residual B[7974]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,8,12,13,14],[1,3,6,7,9,11,14],[1,3,7,9,10,12,13],[1,4,5,8,10,12,14],[1,4,6,7,8,9,13],[1,4,7,8,11,12,14],[1,5,6,10,11,12,13],[1,5,7,9,10,11,14],[2,3,7,8,11,12,13],[2,3,8,9,10,11,14],[2,4,5,7,10,11,13],[2,4,6,7,9,10,12],[2,4,6,9,11,12,14],[2,5,6,7,8,10,14],[2,5,7,9,12,13,14],[3,4,5,6,11,13,14],[3,4,5,9,12,13,14],[3,4,7,8,10,13,14],[3,5,6,7,8,11,12],[3,5,6,8,9,10,12],[4,6,8,9,10,11,13]]; G[7974]:=Group([(1,14)(2,13)(7,11)(8,12)]); # Design 7975: autom. group order 2, simple, residual B[7975]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,8,12,13,14],[1,3,6,7,9,11,13],[1,3,9,10,11,12,14],[1,4,5,7,8,10,14],[1,4,6,7,9,10,12],[1,4,7,8,11,12,13],[1,5,6,8,10,11,14],[1,5,7,9,12,13,14],[2,3,7,8,9,10,13],[2,3,7,8,11,12,14],[2,4,5,10,11,12,13],[2,4,6,7,9,11,14],[2,4,6,8,9,12,14],[2,5,6,7,10,12,13],[2,5,7,9,10,11,14],[3,4,5,6,11,13,14],[3,4,5,9,12,13,14],[3,4,7,8,10,13,14],[3,5,6,7,8,11,12],[3,5,6,8,9,10,12],[4,6,8,9,10,11,13]]; G[7975]:=Group([(1,13)(2,14)(7,11)(8,12)]); # Design 7976: autom. group order 2, simple, residual B[7976]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,8,12,13,14],[1,3,6,7,9,11,14],[1,3,8,9,10,12,14],[1,4,5,7,10,12,13],[1,4,6,7,8,9,13],[1,4,7,8,11,12,14],[1,5,6,10,11,12,13],[1,5,7,9,10,11,14],[2,3,7,8,11,12,13],[2,3,7,9,10,11,13],[2,4,5,8,10,11,14],[2,4,6,7,9,10,12],[2,4,6,9,11,12,14],[2,5,6,7,8,10,14],[2,5,7,9,12,13,14],[3,4,5,6,11,13,14],[3,4,5,9,12,13,14],[3,4,7,8,10,13,14],[3,5,6,7,8,11,12],[3,5,6,8,9,10,12],[4,6,8,9,10,11,13]]; G[7976]:=Group([(1,14)(2,13)(7,11)(8,12)]); # Design 7977: autom. group order 2, simple, residual B[7977]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,8,12,13,14],[1,3,6,7,9,11,13],[1,3,8,9,10,11,14],[1,4,5,7,8,10,14],[1,4,6,7,9,10,12],[1,4,7,8,11,12,13],[1,5,6,10,11,12,14],[1,5,7,9,12,13,14],[2,3,7,8,11,12,14],[2,3,7,9,10,12,13],[2,4,5,10,11,12,13],[2,4,6,7,9,11,14],[2,4,6,8,9,12,14],[2,5,6,7,8,10,13],[2,5,7,9,10,11,14],[3,4,5,6,11,13,14],[3,4,5,9,12,13,14],[3,4,7,8,10,13,14],[3,5,6,7,8,11,12],[3,5,6,8,9,10,12],[4,6,8,9,10,11,13]]; G[7977]:=Group([(1,13)(2,14)(7,11)(8,12)]); # Design 7978: autom. group order 2, simple, residual B[7978]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,8,12,13,14],[1,3,6,7,9,11,14],[1,3,8,9,10,12,14],[1,4,5,7,8,10,13],[1,4,6,7,9,12,13],[1,4,7,8,11,12,14],[1,5,6,10,11,12,13],[1,5,7,9,10,11,14],[2,3,7,8,11,12,13],[2,3,7,9,10,11,13],[2,4,5,10,11,12,14],[2,4,6,7,9,10,12],[2,4,6,8,9,11,14],[2,5,6,7,8,10,14],[2,5,7,9,12,13,14],[3,4,5,6,11,13,14],[3,4,5,9,12,13,14],[3,4,7,8,10,13,14],[3,5,6,7,8,11,12],[3,5,6,8,9,10,12],[4,6,8,9,10,11,13]]; G[7978]:=Group([(1,14)(2,13)(7,11)(8,12)]); # Design 7979: autom. group order 2, simple, residual B[7979]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,8,12,13,14],[1,3,6,7,9,11,13],[1,3,9,10,11,12,14],[1,4,5,8,10,11,14],[1,4,6,7,9,10,12],[1,4,7,8,11,12,13],[1,5,6,7,8,10,14],[1,5,7,9,12,13,14],[2,3,7,8,9,10,13],[2,3,7,8,11,12,14],[2,4,5,7,10,12,13],[2,4,6,7,9,11,14],[2,4,6,8,9,12,14],[2,5,6,10,11,12,13],[2,5,7,9,10,11,14],[3,4,5,6,11,13,14],[3,4,5,9,12,13,14],[3,4,7,8,10,13,14],[3,5,6,7,8,11,12],[3,5,6,8,9,10,12],[4,6,8,9,10,11,13]]; G[7979]:=Group([(1,13)(2,14)(7,11)(8,12)]); # Design 7980: autom. group order 2, simple, residual B[7980]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,8,12,13,14],[1,3,6,7,9,11,14],[1,3,9,10,11,12,13],[1,4,5,8,10,12,14],[1,4,6,7,9,12,13],[1,4,7,8,11,12,14],[1,5,6,7,8,10,13],[1,5,7,9,10,11,14],[2,3,7,8,9,10,14],[2,3,7,8,11,12,13],[2,4,5,7,10,11,13],[2,4,6,7,9,10,12],[2,4,6,8,9,11,14],[2,5,6,10,11,12,14],[2,5,7,9,12,13,14],[3,4,5,6,11,13,14],[3,4,5,9,12,13,14],[3,4,7,8,10,13,14],[3,5,6,7,8,11,12],[3,5,6,8,9,10,12],[4,6,8,9,10,11,13]]; G[7980]:=Group([(1,14)(2,13)(7,11)(8,12)]); # Design 7981: autom. group order 2, simple, residual B[7981]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,8,12,13,14],[1,3,6,7,9,11,14],[1,3,9,10,11,12,13],[1,4,5,8,10,12,14],[1,4,6,7,8,9,13],[1,4,7,8,11,12,14],[1,5,6,7,10,12,13],[1,5,7,9,10,11,14],[2,3,7,8,9,10,14],[2,3,7,8,11,12,13],[2,4,5,7,10,11,13],[2,4,6,7,9,10,12],[2,4,6,9,11,12,14],[2,5,6,8,10,11,14],[2,5,7,9,12,13,14],[3,4,5,6,11,13,14],[3,4,5,9,12,13,14],[3,4,7,8,10,13,14],[3,5,6,7,8,11,12],[3,5,6,8,9,10,12],[4,6,8,9,10,11,13]]; G[7981]:=Group([(1,14)(2,13)(7,11)(8,12)]); # Design 7982: autom. group order 2, simple, residual B[7982]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,10,13,14],[1,2,6,9,11,13,14],[1,3,6,9,12,13,14],[1,3,7,8,9,12,14],[1,4,5,7,11,13,14],[1,4,6,8,11,12,13],[1,4,7,8,9,10,14],[1,5,6,8,10,11,12],[1,5,7,9,10,11,12],[2,3,7,8,11,12,14],[2,3,8,9,10,11,13],[2,4,5,8,12,13,14],[2,4,6,7,10,12,14],[2,4,7,9,11,12,13],[2,5,6,7,8,9,11],[2,5,6,9,10,12,14],[3,4,5,6,9,11,14],[3,4,5,9,10,12,13],[3,4,6,8,10,11,14],[3,5,6,7,8,12,13],[3,5,7,10,11,13,14],[4,6,7,8,9,10,13]]; G[7982]:=Group([(2,11)(3,12)(4,10)(7,8)]); # Design 7983: autom. group order 2, simple, residual B[7983]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,12,13],[1,3,6,9,10,12,14],[1,3,7,8,9,10,14],[1,4,5,9,10,13,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,14],[1,5,6,7,10,11,13],[1,5,7,8,9,11,12],[2,3,7,9,11,12,13],[2,3,8,10,11,13,14],[2,4,5,7,10,12,14],[2,4,6,8,9,11,14],[2,4,7,9,10,12,13],[2,5,6,7,9,11,14],[2,5,6,8,10,12,14],[3,4,5,6,8,12,13],[3,4,5,9,11,13,14],[3,4,6,7,8,10,11],[3,5,6,9,10,11,12],[3,5,7,8,12,13,14],[4,6,7,8,9,10,13]]; G[7983]:=Group([(2,12)(3,11)(5,14)(6,8)(9,13)]); # Design 7984: autom. group order 2, simple B[7984]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,13],[1,3,6,8,9,12,14],[1,3,8,10,11,13,14],[1,4,5,7,9,11,14],[1,4,6,9,10,11,14],[1,4,7,8,9,12,13],[1,5,6,7,11,12,13],[1,5,7,8,10,12,14],[2,3,7,8,9,11,13],[2,3,7,9,10,12,14],[2,4,5,9,10,13,14],[2,4,6,8,11,12,14],[2,4,7,11,12,13,14],[2,5,6,7,8,10,14],[2,5,6,8,9,11,12],[3,4,5,6,10,12,13],[3,4,5,8,12,13,14],[3,4,6,7,8,10,11],[3,5,6,9,11,13,14],[3,5,7,9,10,11,12],[4,6,7,8,9,10,13]]; G[7984]:=Group([(1,12)(3,11)(5,14)(7,8)(9,13)]); # Design 7985: autom. group order 2, simple, residual B[7985]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,10,13,14],[1,3,6,9,11,12,13],[1,3,8,9,10,12,14],[1,4,5,7,9,11,14],[1,4,6,9,10,11,14],[1,4,7,8,9,12,13],[1,5,6,7,8,12,14],[1,5,7,10,11,12,13],[2,3,7,8,9,11,13],[2,3,7,9,10,12,14],[2,4,5,9,10,13,14],[2,4,6,8,11,12,14],[2,4,7,11,12,13,14],[2,5,6,7,9,10,12],[2,5,6,8,9,11,12],[3,4,5,6,10,12,13],[3,4,5,8,12,13,14],[3,4,6,7,8,10,11],[3,5,6,9,11,13,14],[3,5,7,8,10,11,14],[4,6,7,8,9,10,13]]; G[7985]:=Group([(1,12)(3,11)(5,14)(7,8)(9,13)]); # Design 7986: autom. group order 2, simple, residual B[7986]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,10,13,14],[1,3,6,8,9,12,14],[1,3,9,10,11,12,13],[1,4,5,7,9,11,14],[1,4,6,9,10,11,14],[1,4,7,8,9,12,13],[1,5,6,7,11,12,13],[1,5,7,8,10,12,14],[2,3,7,8,9,11,13],[2,3,7,9,10,12,14],[2,4,5,9,10,13,14],[2,4,6,8,11,12,14],[2,4,7,11,12,13,14],[2,5,6,7,9,10,12],[2,5,6,8,9,11,12],[3,4,5,6,10,12,13],[3,4,5,8,12,13,14],[3,4,6,7,8,10,11],[3,5,6,9,11,13,14],[3,5,7,8,10,11,14],[4,6,7,8,9,10,13]]; G[7986]:=Group([(1,12)(3,11)(5,14)(7,8)(9,13)]); # Design 7987: autom. group order 2, simple B[7987]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,9,10,12,13],[1,3,6,8,9,12,14],[1,3,8,10,11,13,14],[1,4,5,9,12,13,14],[1,4,6,7,9,10,11],[1,4,7,8,9,11,14],[1,5,6,7,11,12,13],[1,5,7,8,10,12,14],[2,3,7,8,9,11,13],[2,3,7,9,10,12,14],[2,4,5,9,10,13,14],[2,4,6,8,11,12,14],[2,4,7,11,12,13,14],[2,5,6,7,8,10,14],[2,5,6,8,9,11,12],[3,4,5,6,10,11,14],[3,4,5,7,8,12,13],[3,4,6,8,10,12,13],[3,5,6,9,11,13,14],[3,5,7,9,10,11,12],[4,6,7,8,9,10,13]]; G[7987]:=Group([(1,12)(3,11)(5,14)(7,8)(9,13)]); # Design 7988: autom. group order 2, simple, residual B[7988]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,10,13,14],[1,3,6,9,11,12,13],[1,3,8,9,10,12,14],[1,4,5,9,12,13,14],[1,4,6,7,8,10,12],[1,4,7,8,9,11,14],[1,5,6,7,9,11,14],[1,5,7,10,11,12,13],[2,3,7,8,9,11,13],[2,3,7,9,10,12,14],[2,4,5,9,10,13,14],[2,4,6,8,11,12,14],[2,4,7,11,12,13,14],[2,5,6,7,9,10,12],[2,5,6,8,9,11,12],[3,4,5,6,10,11,14],[3,4,5,7,8,12,13],[3,4,6,9,10,11,13],[3,5,6,8,12,13,14],[3,5,7,8,10,11,14],[4,6,7,8,9,10,13]]; G[7988]:=Group([(1,12)(3,11)(5,14)(7,8)(9,13)]); # Design 7989: autom. group order 2, simple, residual B[7989]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,7,9,10,14],[1,3,6,9,11,12,13],[1,3,7,10,12,13,14],[1,4,5,7,8,12,14],[1,4,6,9,10,11,14],[1,4,7,8,9,12,13],[1,5,6,8,11,13,14],[1,5,8,9,10,11,12],[2,3,7,8,9,11,13],[2,3,8,9,10,12,14],[2,4,5,9,10,13,14],[2,4,6,8,11,12,14],[2,4,7,11,12,13,14],[2,5,6,7,9,11,12],[2,5,6,8,10,12,13],[3,4,5,6,10,12,13],[3,4,5,9,11,13,14],[3,4,6,7,8,10,11],[3,5,6,7,9,12,14],[3,5,7,8,10,11,14],[4,6,7,8,9,10,13]]; G[7989]:=Group([(1,12)(3,11)(5,14)(7,8)(9,13)]); # Design 7990: autom. group order 2, simple, residual B[7990]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,7,9,10,14],[1,3,6,9,11,12,13],[1,3,7,10,12,13,14],[1,4,5,9,12,13,14],[1,4,6,7,8,10,12],[1,4,7,8,9,11,14],[1,5,6,8,11,13,14],[1,5,8,9,10,11,12],[2,3,7,8,9,11,13],[2,3,8,9,10,12,14],[2,4,5,9,10,13,14],[2,4,6,8,11,12,14],[2,4,7,11,12,13,14],[2,5,6,7,9,11,12],[2,5,6,8,10,12,13],[3,4,5,6,10,11,14],[3,4,5,7,8,12,13],[3,4,6,9,10,11,13],[3,5,6,7,9,12,14],[3,5,7,8,10,11,14],[4,6,7,8,9,10,13]]; G[7990]:=Group([(1,12)(3,11)(5,14)(7,8)(9,13)]); # Design 7991: autom. group order 2, simple B[7991]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,9,11,14],[1,3,6,8,9,12,13],[1,3,7,8,9,10,14],[1,4,5,8,10,13,14],[1,4,6,7,12,13,14],[1,4,8,9,11,12,14],[1,5,6,10,11,12,13],[1,5,7,9,10,11,12],[2,3,7,9,10,12,13],[2,3,8,11,12,13,14],[2,4,5,9,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,11,13],[2,5,6,7,8,12,14],[2,5,6,8,9,10,12],[3,4,5,6,9,11,13],[3,4,5,7,10,12,14],[3,4,6,7,8,11,12],[3,5,6,8,10,11,14],[3,5,7,9,11,13,14],[4,6,7,8,9,10,13]]; G[7991]:=Group([(2,11)(3,12)(4,10)(6,9)(8,13)]); # Design 7992: autom. group order 2, simple, residual B[7992]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,9,11,14],[1,3,6,8,9,12,13],[1,3,7,8,12,13,14],[1,4,5,8,10,13,14],[1,4,6,7,9,10,14],[1,4,8,9,11,12,14],[1,5,6,10,11,12,13],[1,5,7,9,10,11,12],[2,3,7,9,10,12,13],[2,3,8,9,10,11,14],[2,4,5,9,12,13,14],[2,4,6,11,12,13,14],[2,4,7,8,10,11,13],[2,5,6,7,8,12,14],[2,5,6,8,9,10,12],[3,4,5,6,9,11,13],[3,4,5,7,10,12,14],[3,4,6,7,8,11,12],[3,5,6,8,10,11,14],[3,5,7,9,11,13,14],[4,6,7,8,9,10,13]]; G[7992]:=Group([(2,11)(3,12)(4,10)(6,9)(8,13)]); # Design 7993: autom. group order 2, simple, residual B[7993]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,8,9,12,13],[1,3,7,9,11,13,14],[1,4,5,8,10,13,14],[1,4,6,7,9,10,14],[1,4,8,9,11,12,14],[1,5,6,10,11,12,13],[1,5,7,9,10,11,12],[2,3,7,9,10,12,13],[2,3,8,9,10,11,14],[2,4,5,9,12,13,14],[2,4,6,11,12,13,14],[2,4,7,8,10,11,13],[2,5,6,7,9,11,14],[2,5,6,8,9,10,12],[3,4,5,6,9,11,13],[3,4,5,7,10,12,14],[3,4,6,7,8,11,12],[3,5,6,8,10,11,14],[3,5,7,8,12,13,14],[4,6,7,8,9,10,13]]; G[7993]:=Group([(2,11)(3,12)(4,10)(6,9)(8,13)]); # Design 7994: autom. group order 2, simple, residual B[7994]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,7,9,10,14],[1,3,6,9,11,12,13],[1,3,7,10,12,13,14],[1,4,5,8,11,13,14],[1,4,6,9,10,11,14],[1,4,7,8,9,12,13],[1,5,6,7,8,12,14],[1,5,8,9,10,11,12],[2,3,7,8,9,11,13],[2,3,8,9,10,12,14],[2,4,5,9,10,13,14],[2,4,6,8,11,12,14],[2,4,7,11,12,13,14],[2,5,6,7,9,11,12],[2,5,6,8,10,12,13],[3,4,5,6,10,12,13],[3,4,5,7,9,12,14],[3,4,6,7,8,10,11],[3,5,6,9,11,13,14],[3,5,7,8,10,11,14],[4,6,7,8,9,10,13]]; G[7994]:=Group([(1,12)(3,11)(5,14)(7,8)(9,13)]); # Design 7995: autom. group order 2, simple, residual B[7995]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,11,12,13],[1,3,6,7,9,11,12],[1,3,7,8,9,13,14],[1,4,5,7,8,10,11],[1,4,6,8,9,12,13],[1,4,7,10,12,13,14],[1,5,6,9,10,12,14],[1,5,8,9,10,11,14],[2,3,7,8,10,12,14],[2,3,8,9,10,11,13],[2,4,5,9,10,12,13],[2,4,6,7,9,11,14],[2,4,7,8,9,12,14],[2,5,6,7,9,10,13],[2,5,6,8,11,12,14],[3,4,5,6,8,13,14],[3,4,5,11,12,13,14],[3,4,6,9,10,11,14],[3,5,6,7,8,10,12],[3,5,7,9,11,12,13],[4,6,7,8,10,11,13]]; G[7995]:=Group([(1,13)(3,10)(4,9)(8,12)]); # Design 7996: autom. group order 2, simple, residual B[7996]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,11,12,13],[1,3,6,7,9,11,12],[1,3,7,8,9,13,14],[1,4,5,7,8,10,11],[1,4,6,8,9,12,13],[1,4,7,10,12,13,14],[1,5,6,8,9,10,14],[1,5,9,10,11,12,14],[2,3,7,8,10,12,14],[2,3,8,9,10,11,13],[2,4,5,9,10,12,13],[2,4,6,7,9,11,14],[2,4,7,8,9,12,14],[2,5,6,7,9,10,13],[2,5,6,8,11,12,14],[3,4,5,6,12,13,14],[3,4,5,8,11,13,14],[3,4,6,9,10,11,14],[3,5,6,7,8,10,12],[3,5,7,9,11,12,13],[4,6,7,8,10,11,13]]; G[7996]:=Group([(1,13)(3,10)(4,9)(8,12)]); # Design 7997: autom. group order 2, simple, residual B[7997]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,11,12,13],[1,3,6,7,8,9,11],[1,3,7,8,10,13,14],[1,4,5,7,10,11,12],[1,4,6,8,9,12,13],[1,4,7,9,12,13,14],[1,5,6,9,10,12,14],[1,5,8,9,10,11,14],[2,3,7,8,9,12,14],[2,3,9,10,11,12,13],[2,4,5,8,9,10,13],[2,4,6,7,9,11,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,13],[2,5,6,8,11,12,14],[3,4,5,6,12,13,14],[3,4,5,8,11,13,14],[3,4,6,9,10,11,14],[3,5,6,7,8,10,12],[3,5,7,9,11,12,13],[4,6,7,8,10,11,13]]; G[7997]:=Group([(1,13)(3,10)(4,9)]); # Design 7998: autom. group order 2, simple, residual B[7998]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,11,14],[1,3,6,7,9,12,13],[1,3,7,8,12,13,14],[1,4,5,7,10,13,14],[1,4,6,8,9,10,14],[1,4,7,9,11,12,14],[1,5,6,8,10,11,12],[1,5,9,10,11,12,13],[2,3,7,8,9,10,12],[2,3,9,10,11,13,14],[2,4,5,9,12,13,14],[2,4,6,7,11,12,14],[2,4,7,8,10,11,13],[2,5,6,7,9,10,12],[2,5,6,8,12,13,14],[3,4,5,6,9,11,13],[3,4,5,8,10,12,14],[3,4,6,8,11,12,13],[3,5,6,7,10,11,14],[3,5,7,8,9,11,14],[4,6,7,8,9,10,13]]; G[7998]:=Group([(2,11)(3,12)(4,10)(6,9)(7,13)]); # Design 7999: autom. group order 2, simple, residual B[7999]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,12,13,14],[1,3,6,7,9,12,13],[1,3,7,8,9,11,14],[1,4,5,7,10,13,14],[1,4,6,8,9,10,14],[1,4,7,9,11,12,14],[1,5,6,8,10,11,12],[1,5,9,10,11,12,13],[2,3,7,8,9,10,12],[2,3,9,10,11,13,14],[2,4,5,9,12,13,14],[2,4,6,7,11,12,14],[2,4,7,8,10,11,13],[2,5,6,7,9,10,12],[2,5,6,8,9,11,14],[3,4,5,6,9,11,13],[3,4,5,8,10,12,14],[3,4,6,8,11,12,13],[3,5,6,7,10,11,14],[3,5,7,8,12,13,14],[4,6,7,8,9,10,13]]; G[7999]:=Group([(2,11)(3,12)(4,10)(6,9)(7,13)]); # Design 8000: autom. group order 2, simple, residual B[8000]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,9,10,13,14],[1,3,6,7,11,12,14],[1,3,7,9,10,12,14],[1,4,5,7,9,12,13],[1,4,6,8,11,13,14],[1,4,7,8,9,10,14],[1,5,6,8,9,11,12],[1,5,8,10,11,12,13],[2,3,7,8,9,11,13],[2,3,8,9,11,12,14],[2,4,5,8,10,12,14],[2,4,6,9,12,13,14],[2,4,7,10,11,12,13],[2,5,6,7,8,12,14],[2,5,6,7,9,10,11],[3,4,5,6,10,11,14],[3,4,5,9,11,13,14],[3,4,6,7,8,12,13],[3,5,6,9,10,12,13],[3,5,7,8,10,13,14],[4,6,7,8,9,10,11]]; G[8000]:=Group([(1,14)(3,12)(4,8)(9,10)]); # Design 8001: autom. group order 2, simple, residual B[8001]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,8,9,10,14],[1,3,6,7,9,11,12],[1,3,7,8,12,13,14],[1,4,5,10,12,13,14],[1,4,6,7,11,13,14],[1,4,7,8,9,10,12],[1,5,6,9,10,11,14],[1,5,8,9,11,12,13],[2,3,7,9,10,11,13],[2,3,9,10,12,13,14],[2,4,5,7,9,13,14],[2,4,6,9,11,12,14],[2,4,7,8,11,12,14],[2,5,6,7,8,10,12],[2,5,6,8,11,12,13],[3,4,5,6,9,12,13],[3,4,5,8,10,11,14],[3,4,6,8,10,11,13],[3,5,6,7,10,12,14],[3,5,7,8,9,11,14],[4,6,7,8,9,10,13]]; G[8001]:=Group([(1,12)(3,11)(5,14)(7,9)]); # Design 8002: autom. group order 2, simple, residual B[8002]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,6,8,9,10,14],[1,3,6,7,12,13,14],[1,3,7,8,9,11,12],[1,4,5,10,12,13,14],[1,4,6,7,9,10,12],[1,4,7,8,11,13,14],[1,5,6,9,11,12,13],[1,5,8,9,10,11,14],[2,3,7,9,10,11,13],[2,3,9,10,12,13,14],[2,4,5,7,9,13,14],[2,4,6,9,11,12,14],[2,4,7,8,11,12,14],[2,5,6,7,8,10,12],[2,5,6,8,11,12,13],[3,4,5,6,10,11,14],[3,4,5,8,9,12,13],[3,4,6,8,10,11,13],[3,5,6,7,9,11,14],[3,5,7,8,10,12,14],[4,6,7,8,9,10,13]]; G[8002]:=Group([(1,12)(3,11)(5,14)(7,9)]); # Design 8003: autom. group order 2, simple, residual B[8003]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,12,14],[1,3,7,8,9,10,14],[1,4,5,9,10,13,14],[1,4,6,11,12,13,14],[1,4,7,8,11,12,14],[1,5,6,7,10,11,13],[1,5,8,9,10,11,12],[2,3,7,9,11,12,13],[2,3,8,10,11,13,14],[2,4,5,7,10,12,14],[2,4,6,8,9,11,14],[2,4,7,9,10,12,13],[2,5,6,7,9,11,14],[2,5,6,8,10,12,14],[3,4,5,6,8,12,13],[3,4,5,9,11,13,14],[3,4,6,7,8,10,11],[3,5,6,9,10,11,12],[3,5,7,8,12,13,14],[4,6,7,8,9,10,13]]; G[8003]:=Group([(2,12)(3,11)(5,14)(6,8)(9,13)]); # Design 8004: autom. group order 2, simple, residual B[8004]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,11,12,13],[1,3,6,7,9,11,12],[1,3,7,8,9,13,14],[1,4,5,8,10,11,14],[1,4,6,8,9,12,13],[1,4,7,10,12,13,14],[1,5,6,9,10,12,14],[1,5,7,8,9,10,11],[2,3,7,8,10,12,14],[2,3,8,9,10,11,13],[2,4,5,9,10,12,13],[2,4,6,7,9,11,14],[2,4,7,8,9,12,14],[2,5,6,7,9,10,13],[2,5,6,8,11,12,14],[3,4,5,6,8,13,14],[3,4,5,7,11,12,13],[3,4,6,9,10,11,14],[3,5,6,7,8,10,12],[3,5,9,11,12,13,14],[4,6,7,8,10,11,13]]; G[8004]:=Group([(1,13)(3,10)(4,9)(8,12)]); # Design 8005: autom. group order 2, simple, residual B[8005]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,11,12,13],[1,3,6,7,9,11,12],[1,3,7,8,9,13,14],[1,4,5,8,10,11,14],[1,4,6,8,9,12,13],[1,4,7,10,12,13,14],[1,5,6,8,9,10,14],[1,5,7,9,10,11,12],[2,3,7,8,10,12,14],[2,3,8,9,10,11,13],[2,4,5,9,10,12,13],[2,4,6,7,9,11,14],[2,4,7,8,9,12,14],[2,5,6,7,9,10,13],[2,5,6,8,11,12,14],[3,4,5,6,12,13,14],[3,4,5,7,8,11,13],[3,4,6,9,10,11,14],[3,5,6,7,8,10,12],[3,5,9,11,12,13,14],[4,6,7,8,10,11,13]]; G[8005]:=Group([(1,13)(3,10)(4,9)(8,12)]); # Design 8006: autom. group order 2, simple, residual B[8006]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,8,11,12,13],[1,3,6,7,8,9,11],[1,3,7,8,10,13,14],[1,4,5,8,10,11,14],[1,4,6,8,9,12,13],[1,4,7,9,12,13,14],[1,5,6,9,10,12,14],[1,5,7,9,10,11,12],[2,3,7,8,9,12,14],[2,3,9,10,11,12,13],[2,4,5,8,9,10,13],[2,4,6,7,9,11,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,13],[2,5,6,8,11,12,14],[3,4,5,6,12,13,14],[3,4,5,7,11,12,13],[3,4,6,9,10,11,14],[3,5,6,7,8,10,12],[3,5,8,9,11,13,14],[4,6,7,8,10,11,13]]; G[8006]:=Group([(1,13)(3,10)(4,9)]); # Design 8007: autom. group order 2, simple B[8007]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,10,11,13],[1,2,6,8,9,12,13],[1,3,6,8,9,11,13],[1,3,7,8,10,12,14],[1,4,5,7,8,13,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,14],[1,5,6,7,9,10,14],[1,5,8,9,10,11,12],[2,3,7,8,9,11,14],[2,3,7,9,12,13,14],[2,4,5,8,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,10,11,13],[2,5,6,7,8,11,12],[2,5,6,9,10,12,14],[3,4,5,6,9,11,14],[3,4,5,9,10,12,13],[3,4,6,7,8,10,12],[3,5,6,7,11,12,13],[3,5,8,10,11,13,14],[4,6,7,8,9,10,13]]; G[8007]:=Group([(2,12)(3,11)(5,14)(6,9)(8,13)]); # Design 8008: autom. group order 2, simple, residual B[8008]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,6,9,11,13,14],[1,3,6,9,12,13,14],[1,3,7,8,9,10,14],[1,4,5,7,9,11,14],[1,4,6,8,9,11,12],[1,4,7,8,12,13,14],[1,5,6,7,10,11,12],[1,5,8,10,11,12,13],[2,3,7,8,11,12,14],[2,3,7,9,11,12,13],[2,4,5,8,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,10,11,13],[2,5,6,7,8,9,12],[2,5,6,9,10,12,14],[3,4,5,6,11,13,14],[3,4,5,9,10,12,13],[3,4,6,7,10,12,14],[3,5,6,7,8,11,13],[3,5,8,9,10,11,14],[4,6,7,8,9,10,13]]; G[8008]:=Group([(2,11)(3,12)(4,10)(9,13)]); # Design 8009: autom. group order 2, simple, residual B[8009]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,6,9,11,13,14],[1,3,6,9,12,13,14],[1,3,7,8,9,12,14],[1,4,5,8,11,13,14],[1,4,6,7,11,12,13],[1,4,7,8,9,10,14],[1,5,6,8,10,11,12],[1,5,7,9,10,11,12],[2,3,7,8,11,12,14],[2,3,7,9,10,11,13],[2,4,5,7,12,13,14],[2,4,6,8,10,12,14],[2,4,8,9,11,12,13],[2,5,6,7,8,9,11],[2,5,6,9,10,12,14],[3,4,5,6,9,11,14],[3,4,5,9,10,12,13],[3,4,6,7,10,11,14],[3,5,6,7,8,12,13],[3,5,8,10,11,13,14],[4,6,7,8,9,10,13]]; G[8009]:=Group([(2,11)(3,12)(4,10)(7,8)]); # Design 8010: autom. group order 2, simple, residual B[8010]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,12,13],[1,3,7,8,11,12,14],[1,4,5,7,9,11,14],[1,4,6,10,11,13,14],[1,4,7,8,9,10,13],[1,5,6,9,11,12,13],[1,5,8,9,10,12,14],[2,3,7,9,10,11,14],[2,3,8,9,11,12,13],[2,4,5,7,12,13,14],[2,4,6,8,9,11,14],[2,4,7,9,10,12,13],[2,5,6,7,8,11,13],[2,5,6,9,10,12,14],[3,4,5,6,8,10,12],[3,4,5,11,12,13,14],[3,4,6,8,9,13,14],[3,5,6,7,9,10,11],[3,5,7,8,10,13,14],[4,6,7,8,10,11,12]]; G[8010]:=Group([(1,8)(3,11)(4,13)(9,10)]); # Design 8011: autom. group order 2, simple, residual B[8011]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,12,13],[1,3,7,8,11,12,14],[1,4,5,7,9,11,14],[1,4,6,10,11,13,14],[1,4,7,8,9,10,13],[1,5,6,8,9,10,12],[1,5,9,11,12,13,14],[2,3,7,9,10,11,14],[2,3,8,9,11,12,13],[2,4,5,7,12,13,14],[2,4,6,8,9,11,14],[2,4,7,9,10,12,13],[2,5,6,7,8,11,13],[2,5,6,9,10,12,14],[3,4,5,6,11,12,13],[3,4,5,8,10,12,14],[3,4,6,8,9,13,14],[3,5,6,7,9,10,11],[3,5,7,8,10,13,14],[4,6,7,8,10,11,12]]; G[8011]:=Group([(1,8)(3,11)(4,13)(9,10)]); # Design 8012: autom. group order 2, simple, residual B[8012]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,12,13],[1,3,7,9,11,12,14],[1,4,5,7,8,11,14],[1,4,6,10,11,13,14],[1,4,7,8,9,10,13],[1,5,6,8,9,10,12],[1,5,8,11,12,13,14],[2,3,7,8,10,11,14],[2,3,8,9,11,12,13],[2,4,5,7,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,9,11,13],[2,5,6,8,10,12,14],[3,4,5,6,11,12,13],[3,4,5,9,10,12,14],[3,4,6,8,9,13,14],[3,5,6,7,8,10,11],[3,5,7,9,10,13,14],[4,6,7,8,9,11,12]]; G[8012]:=Group([(1,9)(3,11)(4,13)(8,10)]); # Design 8013: autom. group order 2, simple, residual B[8013]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,12,13],[1,3,7,9,11,12,14],[1,4,5,7,8,11,14],[1,4,6,10,11,13,14],[1,4,7,8,9,10,13],[1,5,6,8,11,12,13],[1,5,8,9,10,12,14],[2,3,7,8,10,11,14],[2,3,8,9,11,12,13],[2,4,5,7,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,9,11,13],[2,5,6,8,10,12,14],[3,4,5,6,9,10,12],[3,4,5,11,12,13,14],[3,4,6,8,9,13,14],[3,5,6,7,8,10,11],[3,5,7,9,10,13,14],[4,6,7,8,9,11,12]]; G[8013]:=Group([(1,9)(3,11)(4,13)(8,10)]); # Design 8014: autom. group order 2, simple, residual B[8014]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,7,8,11,14],[1,3,6,7,9,10,12],[1,3,7,8,9,12,14],[1,4,5,7,10,13,14],[1,4,6,11,12,13,14],[1,4,8,9,12,13,14],[1,5,6,9,10,11,13],[1,5,7,8,10,11,12],[2,3,7,9,11,13,14],[2,3,8,10,11,12,13],[2,4,5,9,10,12,14],[2,4,6,7,8,12,13],[2,4,7,9,10,11,14],[2,5,6,7,9,12,13],[2,5,6,8,10,12,14],[3,4,5,6,8,11,14],[3,4,5,7,11,12,13],[3,4,6,8,9,10,13],[3,5,6,9,11,12,14],[3,5,7,8,10,13,14],[4,6,7,8,9,10,11]]; G[8014]:=Group([(2,14)(3,13)(5,12)(7,11)]); # Design 8015: autom. group order 2, simple, residual B[8015]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,8,12,14],[1,3,6,7,9,12,13],[1,3,7,8,11,12,14],[1,4,5,9,11,12,14],[1,4,6,10,11,13,14],[1,4,7,8,9,10,13],[1,5,6,8,9,10,12],[1,5,7,9,11,13,14],[2,3,7,9,10,11,14],[2,3,8,9,11,12,13],[2,4,5,7,12,13,14],[2,4,6,8,9,11,14],[2,4,7,9,10,12,13],[2,5,6,7,8,11,13],[2,5,6,9,10,12,14],[3,4,5,6,11,12,13],[3,4,5,7,8,10,14],[3,4,6,8,9,13,14],[3,5,6,7,9,10,11],[3,5,8,10,12,13,14],[4,6,7,8,10,11,12]]; G[8015]:=Group([(1,8)(3,11)(4,13)(9,10)]); # Design 8016: autom. group order 2, simple, residual B[8016]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,12,13],[1,3,7,9,11,12,14],[1,4,5,8,11,12,14],[1,4,6,10,11,13,14],[1,4,7,8,9,10,13],[1,5,6,8,9,10,12],[1,5,7,8,11,13,14],[2,3,7,8,10,11,14],[2,3,8,9,11,12,13],[2,4,5,7,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,9,11,13],[2,5,6,8,10,12,14],[3,4,5,6,11,12,13],[3,4,5,7,9,10,14],[3,4,6,8,9,13,14],[3,5,6,7,8,10,11],[3,5,9,10,12,13,14],[4,6,7,8,9,11,12]]; G[8016]:=Group([(1,9)(3,11)(4,13)(8,10)]); # Design 8017: autom. group order 2, simple, residual B[8017]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,9,12,13],[1,3,6,7,10,12,14],[1,3,8,9,10,13,14],[1,4,5,7,10,13,14],[1,4,6,8,11,12,14],[1,4,9,11,12,13,14],[1,5,6,7,8,10,11],[1,5,7,8,9,11,12],[2,3,7,8,11,12,13],[2,3,7,9,10,11,14],[2,4,5,7,12,13,14],[2,4,6,8,9,10,12],[2,4,7,8,10,11,14],[2,5,6,8,11,13,14],[2,5,6,9,10,12,14],[3,4,5,6,9,11,14],[3,4,5,8,10,12,13],[3,4,6,7,9,11,13],[3,5,6,10,11,12,13],[3,5,7,8,9,12,14],[4,6,7,8,9,10,13]]; G[8017]:=Group([(2,12)(3,11)(5,14)(6,9)(7,13)]); # Design 8018: autom. group order 2, simple, residual B[8018]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,6,7,9,12,13],[1,3,6,7,10,12,14],[1,3,8,9,10,13,14],[1,4,5,7,10,13,14],[1,4,6,8,11,12,14],[1,4,9,11,12,13,14],[1,5,6,7,8,10,11],[1,5,7,8,9,11,12],[2,3,7,8,11,12,13],[2,3,7,9,10,11,14],[2,4,5,8,10,12,14],[2,4,6,7,9,11,14],[2,4,7,8,10,12,13],[2,5,6,8,11,13,14],[2,5,6,9,10,12,14],[3,4,5,6,9,12,13],[3,4,5,7,11,13,14],[3,4,6,8,9,10,11],[3,5,6,10,11,12,13],[3,5,7,8,9,12,14],[4,6,7,8,9,10,13]]; G[8018]:=Group([(2,12)(3,11)(5,14)(6,9)(7,13)]); # Design 8019: autom. group order 2, simple B[8019]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,10,11],[1,3,6,8,9,12,13],[1,3,7,8,9,10,14],[1,4,5,7,8,13,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,14],[1,5,6,7,10,12,13],[1,5,8,9,10,11,12],[2,3,7,8,11,12,13],[2,3,7,9,12,13,14],[2,4,5,9,10,12,13],[2,4,6,8,9,11,13],[2,4,7,8,10,12,14],[2,5,6,7,9,11,14],[2,5,6,8,10,12,14],[3,4,5,6,9,12,14],[3,4,5,7,10,11,13],[3,4,6,8,10,11,14],[3,5,6,7,8,11,12],[3,5,9,10,11,13,14],[4,6,7,8,9,10,13]]; G[8019]:=Group([(2,11)(3,12)(5,14)(6,9)(8,13)]); # Design 8020: autom. group order 2, simple, residual B[8020]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,10,11],[1,3,6,8,9,12,13],[1,3,7,8,10,12,13],[1,4,5,7,8,13,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,14],[1,5,6,7,9,10,14],[1,5,8,9,10,11,12],[2,3,7,8,9,11,14],[2,3,7,9,12,13,14],[2,4,5,9,10,12,13],[2,4,6,8,9,11,13],[2,4,7,8,10,12,14],[2,5,6,7,11,12,13],[2,5,6,8,10,12,14],[3,4,5,6,9,12,14],[3,4,5,7,10,11,13],[3,4,6,8,10,11,14],[3,5,6,7,8,11,12],[3,5,9,10,11,13,14],[4,6,7,8,9,10,13]]; G[8020]:=Group([(2,11)(3,12)(5,14)(6,9)(8,13)]); # Design 8021: autom. group order 2, simple, residual B[8021]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,8,10,12],[1,3,6,8,9,12,13],[1,3,7,9,10,11,13],[1,4,5,7,8,13,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,14],[1,5,6,7,9,10,14],[1,5,8,9,10,11,12],[2,3,7,8,9,11,14],[2,3,7,9,12,13,14],[2,4,5,9,10,12,13],[2,4,6,8,9,11,13],[2,4,7,8,10,12,14],[2,5,6,7,11,12,13],[2,5,6,9,10,11,14],[3,4,5,6,9,12,14],[3,4,5,7,10,11,13],[3,4,6,8,10,11,14],[3,5,6,7,8,11,12],[3,5,8,10,12,13,14],[4,6,7,8,9,10,13]]; G[8021]:=Group([(2,11)(3,12)(5,14)(6,9)(8,13)]); # Design 8022: autom. group order 2, simple, residual B[8022]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,8,10,12],[1,3,6,8,9,12,13],[1,3,7,9,10,11,13],[1,4,5,7,8,13,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,14],[1,5,6,7,9,10,14],[1,5,8,9,10,11,12],[2,3,7,8,9,11,14],[2,3,7,9,12,13,14],[2,4,5,9,10,12,13],[2,4,6,8,9,12,14],[2,4,7,8,10,11,13],[2,5,6,7,11,12,13],[2,5,6,9,10,11,14],[3,4,5,6,9,11,13],[3,4,5,7,10,12,14],[3,4,6,8,10,11,14],[3,5,6,7,8,11,12],[3,5,8,10,12,13,14],[4,6,7,8,9,10,13]]; G[8022]:=Group([(2,11)(3,12)(5,14)(6,9)(8,13)]); # Design 8023: autom. group order 2, simple, residual B[8023]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,8,10,11,12],[1,3,6,7,9,12,14],[1,3,7,8,11,13,14],[1,4,5,7,11,12,14],[1,4,6,8,9,10,14],[1,4,7,9,10,12,13],[1,5,6,9,11,13,14],[1,5,7,8,10,12,13],[2,3,7,8,9,12,14],[2,3,7,9,10,11,13],[2,4,5,7,10,13,14],[2,4,6,11,12,13,14],[2,4,8,9,12,13,14],[2,5,6,7,8,10,14],[2,5,6,7,9,11,12],[3,4,5,6,8,12,13],[3,4,5,9,10,11,14],[3,4,6,7,8,11,13],[3,5,6,9,10,12,13],[3,5,8,10,11,12,14],[4,6,7,8,9,10,11]]; G[8023]:=Group([(1,14)(3,13)(5,12)(7,11)]); # Design 8024: autom. group order 2, simple, residual B[8024]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,12,13,14],[1,3,6,8,10,11,14],[1,3,7,9,12,13,14],[1,4,5,9,10,11,13],[1,4,7,8,9,11,12],[1,4,7,8,10,12,14],[1,5,6,7,9,11,14],[1,5,6,9,10,12,13],[2,3,7,9,10,11,14],[2,3,8,9,11,12,13],[2,4,5,6,11,12,14],[2,4,6,7,8,9,13],[2,4,6,9,10,12,14],[2,5,7,8,9,10,14],[2,5,7,10,11,12,13],[3,4,5,7,12,13,14],[3,4,5,8,10,13,14],[3,4,6,9,11,13,14],[3,5,6,7,8,11,12],[3,5,6,8,9,10,12],[4,6,7,8,10,11,13]]; G[8024]:=Group([(1,13)(2,14)(6,12)(9,10)]); # Design 8025: autom. group order 2, simple B[8025]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,11,13,14],[1,2,6,8,12,13,14],[1,3,6,8,10,11,14],[1,3,7,9,12,13,14],[1,4,5,10,11,12,14],[1,4,7,8,9,10,13],[1,4,7,8,9,11,12],[1,5,6,7,9,11,14],[1,5,6,9,10,12,13],[2,3,7,9,10,11,14],[2,3,8,9,11,12,13],[2,4,5,6,9,11,13],[2,4,6,7,8,12,14],[2,4,6,9,10,12,14],[2,5,7,8,9,10,14],[2,5,7,10,11,12,13],[3,4,5,7,12,13,14],[3,4,5,8,10,13,14],[3,4,6,9,11,13,14],[3,5,6,7,8,11,12],[3,5,6,8,9,10,12],[4,6,7,8,10,11,13]]; G[8025]:=Group([(1,13)(2,14)(6,12)(9,10)]); # Design 8026: autom. group order 2, simple, residual B[8026]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,7,8,9,10,14],[1,3,6,8,9,12,14],[1,3,6,8,11,13,14],[1,4,5,6,9,10,14],[1,4,6,7,9,12,13],[1,4,7,8,11,13,14],[1,5,7,8,10,11,12],[1,5,9,10,11,12,13],[2,3,7,8,9,12,13],[2,3,7,9,10,11,14],[2,4,5,9,11,13,14],[2,4,6,7,11,12,14],[2,4,6,8,10,12,13],[2,5,6,8,9,11,12],[2,5,6,8,10,13,14],[3,4,5,7,8,10,13],[3,4,5,8,11,12,14],[3,4,9,10,12,13,14],[3,5,6,7,9,11,13],[3,5,6,7,10,12,14],[4,6,7,8,9,10,11]]; G[8026]:=Group([(2,10)(3,11)(4,12)(6,13)(7,9)]); # Design 8027: autom. group order 2, simple, residual B[8027]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,7,8,9,10,14],[1,3,6,8,9,12,14],[1,3,6,8,11,13,14],[1,4,5,6,9,10,14],[1,4,6,7,9,12,13],[1,4,7,8,11,13,14],[1,5,7,8,10,11,12],[1,5,9,10,11,12,13],[2,3,7,8,9,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,6,7,11,12,14],[2,4,6,8,10,12,13],[2,5,6,8,10,13,14],[2,5,6,9,11,12,14],[3,4,5,7,10,13,14],[3,4,5,8,11,12,14],[3,4,9,10,12,13,14],[3,5,6,7,8,10,12],[3,5,6,7,9,11,13],[4,6,7,8,9,10,11]]; G[8027]:=Group([(2,10)(3,11)(4,12)(6,13)(7,9)]); # Design 8028: autom. group order 2, simple B[8028]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,9,10,12,13],[1,3,6,7,8,10,11],[1,3,6,8,9,12,13],[1,4,5,6,7,9,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,14],[1,5,7,8,10,13,14],[1,5,8,9,10,11,12],[2,3,7,8,9,12,14],[2,3,7,9,11,13,14],[2,4,5,7,10,12,13],[2,4,6,8,9,11,13],[2,4,6,8,10,12,14],[2,5,6,7,8,11,12],[2,5,6,9,10,11,14],[3,4,5,8,12,13,14],[3,4,5,9,10,11,13],[3,4,7,8,10,11,14],[3,5,6,7,11,12,13],[3,5,6,9,10,12,14],[4,6,7,8,9,10,13]]; G[8028]:=Group([(2,11)(3,12)(5,14)(6,9)(8,13)]); # Design 8029: autom. group order 2, simple, residual B[8029]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,11],[1,2,8,9,12,13,14],[1,3,6,8,10,12,13],[1,3,6,9,10,11,14],[1,4,5,6,11,12,14],[1,4,7,8,10,12,14],[1,4,7,9,10,13,14],[1,5,6,7,8,11,13],[1,5,7,9,11,12,13],[2,3,7,8,10,11,13],[2,3,7,9,11,12,14],[2,4,5,7,10,12,13],[2,4,6,8,11,13,14],[2,4,6,9,11,12,13],[2,5,6,7,9,10,14],[2,5,6,8,10,12,14],[3,4,5,8,9,13,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,12],[3,5,6,9,10,12,13],[3,5,7,8,11,12,14],[4,6,7,8,9,10,11]]; G[8029]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8030: autom. group order 2, simple, residual B[8030]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,11],[1,2,8,9,12,13,14],[1,3,6,8,10,12,13],[1,3,6,9,10,11,14],[1,4,5,6,11,12,13],[1,4,7,8,10,12,14],[1,4,7,9,11,13,14],[1,5,6,7,8,11,14],[1,5,7,9,10,12,13],[2,3,7,8,10,11,13],[2,3,7,9,11,12,14],[2,4,5,7,10,12,14],[2,4,6,8,10,13,14],[2,4,6,9,11,12,13],[2,5,6,7,9,10,13],[2,5,6,8,11,12,14],[3,4,5,8,9,13,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,12],[3,5,6,9,10,12,14],[3,5,7,8,11,12,13],[4,6,7,8,9,10,11]]; G[8030]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8031: autom. group order 2, simple, residual B[8031]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,11],[1,2,8,9,12,13,14],[1,3,6,8,10,12,13],[1,3,6,9,10,11,14],[1,4,5,6,11,12,13],[1,4,7,8,10,13,14],[1,4,7,8,11,12,14],[1,5,6,7,9,10,14],[1,5,7,9,11,12,13],[2,3,7,8,10,11,13],[2,3,7,9,11,12,14],[2,4,5,7,10,12,14],[2,4,6,9,10,12,13],[2,4,6,9,11,13,14],[2,5,6,7,8,11,13],[2,5,6,8,10,12,14],[3,4,5,8,9,13,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,12],[3,5,6,8,11,12,14],[3,5,7,9,10,12,13],[4,6,7,8,9,10,11]]; G[8031]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8032: autom. group order 2, simple, residual B[8032]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,11],[1,2,8,9,12,13,14],[1,3,6,8,10,11,13],[1,3,6,9,10,12,14],[1,4,5,6,11,12,13],[1,4,7,8,10,13,14],[1,4,7,8,11,12,14],[1,5,6,7,9,11,14],[1,5,7,9,10,12,13],[2,3,7,8,11,12,13],[2,3,7,9,10,11,14],[2,4,5,7,10,12,14],[2,4,6,9,10,12,13],[2,4,6,9,11,13,14],[2,5,6,7,8,10,13],[2,5,6,8,11,12,14],[3,4,5,8,9,13,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,12],[3,5,6,8,10,12,14],[3,5,7,9,11,12,13],[4,6,7,8,9,10,11]]; G[8032]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8033: autom. group order 2, simple B[8033]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,9,12,13,14],[1,3,6,7,8,11,14],[1,3,6,8,9,12,13],[1,4,5,6,9,10,14],[1,4,7,8,10,13,14],[1,4,8,9,11,12,14],[1,5,6,10,11,12,13],[1,5,7,9,10,11,12],[2,3,7,8,9,10,12],[2,3,9,10,11,13,14],[2,4,5,7,12,13,14],[2,4,6,7,9,10,11],[2,4,6,8,11,12,14],[2,5,6,8,9,11,13],[2,5,6,8,10,12,14],[3,4,5,8,10,12,13],[3,4,5,9,11,13,14],[3,4,6,7,11,12,13],[3,5,6,7,9,12,14],[3,5,7,8,10,11,14],[4,6,7,8,9,10,13]]; G[8033]:=Group([(2,11)(3,12)(4,10)(6,9)(8,13)]); # Design 8034: autom. group order 2, simple B[8034]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,8,9,10,14],[1,3,6,7,9,12,14],[1,3,6,8,9,12,13],[1,4,5,8,10,13,14],[1,4,6,7,11,13,14],[1,4,8,9,11,12,14],[1,5,6,10,11,12,13],[1,5,7,9,10,11,12],[2,3,7,9,10,11,13],[2,3,8,11,12,13,14],[2,4,5,6,9,12,13],[2,4,6,7,8,11,12],[2,4,6,9,10,11,14],[2,5,6,8,10,12,14],[2,5,7,9,12,13,14],[3,4,5,7,10,12,14],[3,4,5,9,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,8,11,14],[3,5,6,8,9,10,11],[4,6,7,8,9,10,13]]; G[8034]:=Group([(2,11)(3,12)(4,10)(6,9)(8,13)]); # Design 8035: autom. group order 2, simple, residual B[8035]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,8,9,10,14],[1,3,6,7,9,12,14],[1,3,6,8,9,12,13],[1,4,5,8,10,13,14],[1,4,6,7,11,13,14],[1,4,8,9,11,12,14],[1,5,6,10,11,12,13],[1,5,7,9,10,11,12],[2,3,7,8,11,12,13],[2,3,9,10,11,13,14],[2,4,5,6,9,12,13],[2,4,6,7,9,10,11],[2,4,6,8,11,12,14],[2,5,6,8,10,12,14],[2,5,7,9,12,13,14],[3,4,5,7,10,12,14],[3,4,5,9,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,8,11,14],[3,5,6,8,9,10,11],[4,6,7,8,9,10,13]]; G[8035]:=Group([(2,11)(3,12)(4,10)(6,9)(8,13)]); # Design 8036: autom. group order 2, simple B[8036]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,8,9,10,13],[1,3,6,7,9,12,13],[1,3,6,8,9,12,14],[1,4,5,7,8,10,14],[1,4,6,7,11,13,14],[1,4,8,9,11,12,13],[1,5,6,10,11,12,14],[1,5,7,9,10,11,12],[2,3,7,8,11,12,14],[2,3,7,9,10,11,14],[2,4,5,6,9,12,14],[2,4,6,7,8,11,12],[2,4,6,9,10,11,13],[2,5,6,8,10,12,13],[2,5,7,9,12,13,14],[3,4,5,7,10,12,13],[3,4,5,9,11,13,14],[3,4,8,10,12,13,14],[3,5,6,7,8,11,13],[3,5,6,8,9,10,11],[4,6,7,8,9,10,14]]; G[8036]:=Group([(2,11)(3,12)(4,10)(6,9)(8,14)]); # Design 8037: autom. group order 2, simple, residual B[8037]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,11],[1,2,8,9,12,13,14],[1,3,6,8,10,12,13],[1,3,6,9,10,11,14],[1,4,5,7,10,12,13],[1,4,6,8,11,13,14],[1,4,7,9,11,12,13],[1,5,6,7,9,10,14],[1,5,7,8,11,12,14],[2,3,7,8,10,11,13],[2,3,7,9,11,12,14],[2,4,5,6,11,12,14],[2,4,6,8,10,12,14],[2,4,7,9,10,13,14],[2,5,6,7,8,11,13],[2,5,6,9,10,12,13],[3,4,5,8,9,13,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,12],[3,5,6,9,11,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8037]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8038: autom. group order 2, simple, residual B[8038]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,11],[1,2,8,9,12,13,14],[1,3,6,8,10,12,13],[1,3,6,9,10,11,14],[1,4,5,7,10,12,13],[1,4,6,8,11,13,14],[1,4,7,8,11,12,14],[1,5,6,7,9,10,14],[1,5,7,9,11,12,13],[2,3,7,8,10,11,13],[2,3,7,9,11,12,14],[2,4,5,6,11,12,14],[2,4,6,9,10,12,13],[2,4,7,9,10,13,14],[2,5,6,7,8,11,13],[2,5,6,8,10,12,14],[3,4,5,8,9,13,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,12],[3,5,6,9,11,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8038]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8039: autom. group order 2, simple, residual B[8039]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,11],[1,2,8,9,12,13,14],[1,3,6,8,10,11,13],[1,3,6,9,10,12,14],[1,4,5,7,11,12,13],[1,4,6,8,11,12,14],[1,4,7,8,10,13,14],[1,5,6,7,9,10,13],[1,5,7,9,11,12,14],[2,3,7,8,11,12,13],[2,3,7,9,10,11,14],[2,4,5,6,10,12,14],[2,4,6,9,11,13,14],[2,4,7,9,10,12,13],[2,5,6,7,8,11,14],[2,5,6,8,10,12,13],[3,4,5,8,9,13,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,12],[3,5,6,9,11,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8039]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8040: autom. group order 2, simple, residual B[8040]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,11],[1,2,8,9,12,13,14],[1,3,6,8,10,12,13],[1,3,6,9,10,11,14],[1,4,5,7,11,12,13],[1,4,6,8,11,12,14],[1,4,7,8,10,13,14],[1,5,6,7,9,11,13],[1,5,7,9,10,12,14],[2,3,7,8,10,11,13],[2,3,7,9,11,12,14],[2,4,5,6,10,12,14],[2,4,6,9,11,13,14],[2,4,7,9,10,12,13],[2,5,6,7,8,10,14],[2,5,6,8,11,12,13],[3,4,5,8,9,13,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,12],[3,5,6,9,10,12,13],[3,5,7,8,11,12,14],[4,6,7,8,9,10,11]]; G[8040]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8041: autom. group order 2, simple, residual B[8041]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,11],[1,2,8,9,12,13,14],[1,3,6,8,10,12,13],[1,3,6,9,10,11,14],[1,4,5,7,11,12,14],[1,4,6,8,11,13,14],[1,4,7,8,10,12,14],[1,5,6,7,9,11,13],[1,5,7,9,10,12,13],[2,3,7,8,10,11,13],[2,3,7,9,11,12,14],[2,4,5,6,10,12,13],[2,4,6,9,11,12,13],[2,4,7,9,10,13,14],[2,5,6,7,8,10,14],[2,5,6,8,11,12,14],[3,4,5,8,9,13,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,12],[3,5,6,9,10,12,14],[3,5,7,8,11,12,13],[4,6,7,8,9,10,11]]; G[8041]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8042: autom. group order 2, simple, residual B[8042]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,11],[1,2,8,9,12,13,14],[1,3,6,8,10,11,13],[1,3,6,8,10,12,14],[1,4,5,7,10,12,13],[1,4,6,9,11,12,13],[1,4,7,9,10,13,14],[1,5,6,7,9,11,14],[1,5,7,8,11,12,14],[2,3,7,9,10,11,14],[2,3,7,9,11,12,13],[2,4,5,6,11,12,14],[2,4,6,8,11,13,14],[2,4,7,8,10,12,14],[2,5,6,7,8,10,13],[2,5,6,9,10,12,13],[3,4,5,8,9,13,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,12],[3,5,6,9,10,12,14],[3,5,7,8,11,12,13],[4,6,7,8,9,10,11]]; G[8042]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8043: autom. group order 2, simple, residual B[8043]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,11],[1,2,8,9,12,13,14],[1,3,6,8,10,11,13],[1,3,6,8,10,12,14],[1,4,5,7,11,12,13],[1,4,6,9,11,13,14],[1,4,7,9,10,12,14],[1,5,6,7,9,10,13],[1,5,7,8,11,12,14],[2,3,7,9,10,11,14],[2,3,7,9,11,12,13],[2,4,5,6,10,12,14],[2,4,6,8,11,12,13],[2,4,7,8,10,13,14],[2,5,6,7,8,11,14],[2,5,6,9,10,12,13],[3,4,5,8,9,13,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,12],[3,5,6,9,11,12,14],[3,5,7,8,10,12,13],[4,6,7,8,9,10,11]]; G[8043]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8044: autom. group order 2, simple, residual B[8044]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,11],[1,2,8,9,12,13,14],[1,3,6,8,10,11,13],[1,3,6,8,10,12,14],[1,4,5,7,10,12,13],[1,4,6,9,11,12,14],[1,4,7,8,11,13,14],[1,5,6,7,9,11,13],[1,5,7,9,10,12,14],[2,3,7,9,10,11,14],[2,3,7,9,11,12,13],[2,4,5,6,11,12,14],[2,4,6,9,10,13,14],[2,4,7,8,10,12,13],[2,5,6,7,8,10,14],[2,5,6,8,11,12,13],[3,4,5,8,9,13,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,12],[3,5,6,9,10,12,13],[3,5,7,8,11,12,14],[4,6,7,8,9,10,11]]; G[8044]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8045: autom. group order 2, simple, residual B[8045]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,11],[1,2,8,9,12,13,14],[1,3,6,8,10,11,13],[1,3,6,8,10,12,14],[1,4,5,7,10,12,14],[1,4,6,9,11,13,14],[1,4,7,8,11,12,13],[1,5,6,7,9,11,14],[1,5,7,9,10,12,13],[2,3,7,9,10,11,14],[2,3,7,9,11,12,13],[2,4,5,6,11,12,13],[2,4,6,9,10,12,14],[2,4,7,8,10,13,14],[2,5,6,7,8,10,13],[2,5,6,8,11,12,14],[3,4,5,8,9,13,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,12],[3,5,6,9,10,12,13],[3,5,7,8,11,12,14],[4,6,7,8,9,10,11]]; G[8045]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8046: autom. group order 2, simple, residual B[8046]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,9,12,13,14],[1,3,6,7,8,11,14],[1,3,6,8,9,12,13],[1,4,5,8,10,13,14],[1,4,6,7,9,10,14],[1,4,8,9,11,12,14],[1,5,6,10,11,12,13],[1,5,7,9,10,11,12],[2,3,7,8,9,10,12],[2,3,9,10,11,13,14],[2,4,5,6,9,12,13],[2,4,6,8,11,12,14],[2,4,7,8,10,11,13],[2,5,6,7,9,11,14],[2,5,6,8,10,12,14],[3,4,5,7,10,12,14],[3,4,5,9,11,13,14],[3,4,6,7,11,12,13],[3,5,6,8,9,10,11],[3,5,7,8,12,13,14],[4,6,7,8,9,10,13]]; G[8046]:=Group([(2,11)(3,12)(4,10)(6,9)(8,13)]); # Design 8047: autom. group order 2, simple, residual B[8047]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,7,9,10,13,14],[1,3,6,7,9,11,13],[1,3,6,8,11,12,14],[1,4,5,9,10,11,14],[1,4,6,9,10,12,14],[1,4,7,8,9,12,13],[1,5,6,7,8,12,14],[1,5,8,10,11,12,13],[2,3,7,10,11,12,14],[2,3,8,9,12,13,14],[2,4,5,6,11,12,13],[2,4,6,7,8,10,14],[2,4,7,8,9,11,12],[2,5,6,8,9,11,14],[2,5,6,9,10,12,13],[3,4,5,7,12,13,14],[3,4,5,8,10,13,14],[3,4,6,9,11,13,14],[3,5,6,7,9,10,12],[3,5,7,8,9,10,11],[4,6,7,8,10,11,13]]; G[8047]:=Group([(1,14)(2,13)(6,12)(9,10)]); # Design 8048: autom. group order 2, simple, residual B[8048]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,9,10,12,13],[1,3,6,7,8,10,11],[1,3,6,8,9,12,13],[1,4,5,7,8,13,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,14],[1,5,6,7,9,10,14],[1,5,8,9,10,11,12],[2,3,7,8,9,12,14],[2,3,7,9,11,13,14],[2,4,5,6,9,12,13],[2,4,6,8,10,12,14],[2,4,7,8,10,11,13],[2,5,6,7,8,11,12],[2,5,6,9,10,11,14],[3,4,5,7,10,12,14],[3,4,5,9,10,11,13],[3,4,6,8,9,11,14],[3,5,6,7,11,12,13],[3,5,8,10,12,13,14],[4,6,7,8,9,10,13]]; G[8048]:=Group([(2,11)(3,12)(5,14)(6,9)(8,13)]); # Design 8049: autom. group order 2, simple, residual B[8049]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,8,9,10,14],[1,3,6,7,9,12,13],[1,3,6,8,9,12,14],[1,4,5,7,10,13,14],[1,4,6,8,11,13,14],[1,4,7,9,11,12,14],[1,5,6,8,10,11,12],[1,5,9,10,11,12,13],[2,3,7,8,11,12,13],[2,3,9,10,11,13,14],[2,4,5,9,12,13,14],[2,4,6,7,11,12,14],[2,4,6,8,9,10,11],[2,5,6,7,9,10,12],[2,5,6,8,12,13,14],[3,4,5,6,9,11,13],[3,4,5,8,10,12,14],[3,4,7,8,10,12,13],[3,5,6,7,10,11,14],[3,5,7,8,9,11,14],[4,6,7,8,9,10,13]]; G[8049]:=Group([(2,11)(3,12)(4,10)(6,9)(7,13)]); # Design 8050: autom. group order 2, simple, residual B[8050]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,12,14],[1,2,7,9,10,13,14],[1,3,6,7,9,12,13],[1,3,6,8,9,11,14],[1,4,5,7,10,11,14],[1,4,6,8,11,12,14],[1,4,8,9,10,12,13],[1,5,6,10,12,13,14],[1,5,7,8,9,11,13],[2,3,7,8,11,13,14],[2,3,8,9,10,12,14],[2,4,5,9,11,12,13],[2,4,6,7,8,10,13],[2,4,6,7,9,12,14],[2,5,6,8,11,12,13],[2,5,6,9,10,11,14],[3,4,5,6,9,13,14],[3,4,5,8,10,13,14],[3,4,7,11,12,13,14],[3,5,6,7,8,10,12],[3,5,7,9,10,11,12],[4,6,7,8,9,10,11]]; G[8050]:=Group([(1,14)(2,13)(6,8)(7,10)]); # Design 8051: autom. group order 2, simple, residual B[8051]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,9,10,12,13],[1,3,6,7,8,10,11],[1,3,6,8,9,12,13],[1,4,5,7,8,13,14],[1,4,6,11,12,13,14],[1,4,7,9,11,12,14],[1,5,6,7,9,10,14],[1,5,8,9,10,11,12],[2,3,7,8,9,12,14],[2,3,7,9,11,13,14],[2,4,5,7,10,12,13],[2,4,6,8,9,11,13],[2,4,6,8,10,12,14],[2,5,6,7,8,11,12],[2,5,6,9,10,11,14],[3,4,5,6,9,12,14],[3,4,5,9,10,11,13],[3,4,7,8,10,11,14],[3,5,6,7,11,12,13],[3,5,8,10,12,13,14],[4,6,7,8,9,10,13]]; G[8051]:=Group([(2,11)(3,12)(5,14)(6,9)(8,13)]); # Design 8052: autom. group order 2, simple, residual B[8052]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,8,10,12,13],[1,3,6,7,8,10,11],[1,3,6,8,9,12,14],[1,4,5,9,10,11,14],[1,4,6,7,9,12,14],[1,4,8,11,12,13,14],[1,5,6,7,9,11,13],[1,5,7,9,10,12,13],[2,3,7,9,11,12,14],[2,3,7,9,11,13,14],[2,4,5,7,10,12,14],[2,4,6,8,9,12,13],[2,4,6,9,10,11,13],[2,5,6,7,8,11,12],[2,5,6,8,9,10,14],[3,4,5,6,11,12,13],[3,4,5,7,8,13,14],[3,4,7,8,9,10,13],[3,5,6,10,12,13,14],[3,5,8,9,10,11,12],[4,6,7,8,10,11,14]]; G[8052]:=Group([(1,6)(2,11)(3,7)(4,8)(5,10)(9,14)]); # Design 8053: autom. group order 2, simple, residual B[8053]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,11],[1,2,8,9,12,13,14],[1,3,6,8,10,11,13],[1,3,6,9,10,12,14],[1,4,5,7,11,12,14],[1,4,7,8,10,12,13],[1,4,7,9,10,13,14],[1,5,6,7,8,11,14],[1,5,6,9,11,12,13],[2,3,7,8,11,12,13],[2,3,7,9,10,11,14],[2,4,5,6,10,12,13],[2,4,6,8,11,13,14],[2,4,6,9,11,12,14],[2,5,6,7,9,10,13],[2,5,7,8,10,12,14],[3,4,5,8,9,13,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,12],[3,5,6,8,10,12,14],[3,5,7,9,11,12,13],[4,6,7,8,9,10,11]]; G[8053]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8054: autom. group order 2, simple, residual B[8054]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,11],[1,2,8,9,12,13,14],[1,3,6,8,10,11,13],[1,3,6,8,10,12,14],[1,4,5,7,11,12,14],[1,4,7,8,11,13,14],[1,4,7,9,10,12,13],[1,5,6,7,9,10,14],[1,5,6,9,11,12,13],[2,3,7,9,10,11,14],[2,3,7,9,11,12,13],[2,4,5,6,10,12,13],[2,4,6,8,11,12,14],[2,4,6,9,10,13,14],[2,5,6,7,8,11,13],[2,5,7,8,10,12,14],[3,4,5,8,9,13,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,12],[3,5,6,9,11,12,14],[3,5,7,8,10,12,13],[4,6,7,8,9,10,11]]; G[8054]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8055: autom. group order 2, simple, residual B[8055]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,7,9,12,13,14],[1,3,6,8,11,13,14],[1,3,7,8,9,11,14],[1,4,5,6,9,12,13],[1,4,6,7,9,10,14],[1,4,6,8,12,13,14],[1,5,7,10,11,12,13],[1,5,8,9,10,11,12],[2,3,6,9,10,12,14],[2,3,7,8,9,12,13],[2,4,5,7,11,13,14],[2,4,6,7,8,11,12],[2,4,9,10,11,13,14],[2,5,6,8,9,10,13],[2,5,6,8,11,12,14],[3,4,5,8,10,13,14],[3,4,5,9,11,12,14],[3,4,7,8,10,12,13],[3,5,6,7,9,11,13],[3,5,6,7,10,12,14],[4,6,7,8,9,10,11]]; G[8055]:=Group([(2,10)(3,11)(4,12)(6,13)]); # Design 8056: autom. group order 2, simple, residual B[8056]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,7,8,9,12,13],[1,3,6,8,11,13,14],[1,3,7,8,9,11,14],[1,4,5,6,9,12,13],[1,4,6,7,9,10,14],[1,4,6,8,12,13,14],[1,5,7,10,11,12,13],[1,5,9,10,11,12,14],[2,3,6,9,10,12,14],[2,3,7,9,12,13,14],[2,4,5,7,11,13,14],[2,4,6,7,11,12,14],[2,4,8,9,10,11,13],[2,5,6,8,9,11,12],[2,5,6,8,10,13,14],[3,4,5,8,11,12,14],[3,4,5,9,10,13,14],[3,4,7,8,10,12,13],[3,5,6,7,8,10,12],[3,5,6,7,9,11,13],[4,6,7,8,9,10,11]]; G[8056]:=Group([(2,10)(3,11)(4,12)(6,13)(8,14)]); # Design 8057: autom. group order 2, simple, residual B[8057]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,12,13],[1,2,7,8,9,10,14],[1,3,6,8,11,13,14],[1,3,7,8,9,11,14],[1,4,5,6,9,10,14],[1,4,6,7,9,12,13],[1,4,6,8,12,13,14],[1,5,7,10,11,12,14],[1,5,9,10,11,12,13],[2,3,6,9,10,12,14],[2,3,7,9,12,13,14],[2,4,5,9,11,13,14],[2,4,6,7,11,12,14],[2,4,7,8,10,11,13],[2,5,6,8,9,11,12],[2,5,6,8,10,13,14],[3,4,5,7,10,13,14],[3,4,5,8,11,12,14],[3,4,8,9,10,12,13],[3,5,6,7,8,10,12],[3,5,6,7,9,11,13],[4,6,7,8,9,10,11]]; G[8057]:=Group([(2,10)(3,11)(4,12)(6,13)(7,9)(8,14)]); # Design 8058: autom. group order 2, simple, residual B[8058]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,7,9,12,13,14],[1,3,6,8,11,13,14],[1,3,7,8,9,11,14],[1,4,5,6,9,12,13],[1,4,6,7,9,10,14],[1,4,6,8,12,13,14],[1,5,7,10,11,12,13],[1,5,8,9,10,11,12],[2,3,6,9,10,12,14],[2,3,7,8,9,12,13],[2,4,5,8,11,13,14],[2,4,6,7,8,11,12],[2,4,9,10,11,13,14],[2,5,6,7,11,12,14],[2,5,6,8,9,10,13],[3,4,5,7,10,13,14],[3,4,5,9,11,12,14],[3,4,7,8,10,12,13],[3,5,6,7,9,11,13],[3,5,6,8,10,12,14],[4,6,7,8,9,10,11]]; G[8058]:=Group([(2,10)(3,11)(4,12)(6,13)]); # Design 8059: autom. group order 2, simple, residual B[8059]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,10,14],[1,2,7,8,9,12,13],[1,3,6,8,11,13,14],[1,3,7,8,9,11,14],[1,4,5,6,9,12,13],[1,4,6,7,9,10,14],[1,4,6,8,12,13,14],[1,5,7,10,11,12,13],[1,5,9,10,11,12,14],[2,3,6,9,10,12,14],[2,3,7,9,12,13,14],[2,4,5,9,11,13,14],[2,4,6,7,11,12,14],[2,4,8,9,10,11,13],[2,5,6,7,8,11,12],[2,5,6,8,10,13,14],[3,4,5,7,10,13,14],[3,4,5,8,11,12,14],[3,4,7,8,10,12,13],[3,5,6,7,9,11,13],[3,5,6,8,9,10,12],[4,6,7,8,9,10,11]]; G[8059]:=Group([(2,10)(3,11)(4,12)(6,13)(8,14)]); # Design 8060: autom. group order 2, simple B[8060]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,10,13,14],[1,2,8,9,11,13,14],[1,3,6,9,11,12,13],[1,3,7,8,11,12,14],[1,4,5,6,9,11,14],[1,4,6,10,12,13,14],[1,4,7,8,9,10,12],[1,5,6,7,8,12,14],[1,5,7,9,10,11,13],[2,3,6,8,9,10,14],[2,3,7,9,12,13,14],[2,4,5,7,12,13,14],[2,4,6,7,9,11,14],[2,4,6,8,11,12,13],[2,5,6,8,10,11,12],[2,5,7,9,10,11,12],[3,4,5,8,9,12,13],[3,4,5,10,11,13,14],[3,4,7,8,10,11,14],[3,5,6,7,8,11,13],[3,5,6,9,10,12,14],[4,6,7,8,9,10,13]]; G[8060]:=Group([(1,12)(3,11)(4,10)(7,8)]); # Design 8061: autom. group order 2, simple, residual B[8061]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,10,13,14],[1,2,8,9,11,13,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,6,9,11,14],[1,4,6,9,10,12,13],[1,4,7,8,10,12,14],[1,5,6,7,8,12,14],[1,5,7,9,10,11,13],[2,3,6,8,9,10,14],[2,3,7,9,12,13,14],[2,4,5,7,12,13,14],[2,4,6,7,9,11,14],[2,4,6,8,11,12,13],[2,5,6,8,10,11,12],[2,5,7,9,10,11,12],[3,4,5,8,9,12,13],[3,4,5,10,11,13,14],[3,4,7,8,10,11,14],[3,5,6,7,8,11,13],[3,5,6,9,10,12,14],[4,6,7,8,9,10,13]]; G[8061]:=Group([(1,12)(3,11)(4,10)(7,8)]); # Design 8062: autom. group order 2, simple B[8062]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,13],[1,2,7,8,9,11,14],[1,3,6,7,9,11,12],[1,3,9,10,11,13,14],[1,4,5,6,9,12,14],[1,4,6,8,10,11,14],[1,4,7,8,11,12,13],[1,5,6,7,12,13,14],[1,5,8,9,10,12,13],[2,3,6,8,12,13,14],[2,3,7,8,9,12,14],[2,4,5,9,11,13,14],[2,4,6,7,9,10,13],[2,4,6,8,11,12,13],[2,5,6,9,10,11,12],[2,5,7,10,11,12,14],[3,4,5,7,11,13,14],[3,4,5,8,10,12,14],[3,4,7,9,10,12,13],[3,5,6,7,8,10,11],[3,5,6,8,9,11,13],[4,6,7,8,9,10,14]]; G[8062]:=Group([(1,11)(3,12)(4,10)(7,9)(8,14)]); # Design 8063: autom. group order 2, simple, residual B[8063]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,12,13],[1,2,7,8,9,10,14],[1,3,6,7,9,12,14],[1,3,9,10,12,13,14],[1,4,5,6,9,11,14],[1,4,6,8,10,12,14],[1,4,7,8,10,11,13],[1,5,6,7,11,13,14],[1,5,8,9,11,12,13],[2,3,6,8,11,13,14],[2,3,7,8,9,11,14],[2,4,5,9,10,13,14],[2,4,6,7,9,12,13],[2,4,6,8,12,13,14],[2,5,6,9,10,11,12],[2,5,7,10,11,12,14],[3,4,5,7,10,13,14],[3,4,5,8,11,12,14],[3,4,7,9,11,12,13],[3,5,6,7,8,10,12],[3,5,6,8,9,10,13],[4,6,7,8,9,10,11]]; G[8063]:=Group([(1,10)(3,11)(4,12)(7,9)(8,14)]); # Design 8064: autom. group order 2, simple B[8064]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,13],[1,2,7,8,9,11,14],[1,3,6,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,6,9,12,14],[1,4,6,8,10,11,14],[1,4,7,9,10,11,13],[1,5,6,7,12,13,14],[1,5,8,9,10,12,13],[2,3,6,9,10,13,14],[2,3,7,8,9,12,14],[2,4,5,9,11,13,14],[2,4,6,7,8,12,13],[2,4,6,8,11,12,13],[2,5,6,9,10,11,12],[2,5,7,10,11,12,14],[3,4,5,7,11,13,14],[3,4,5,8,10,12,14],[3,4,7,9,10,12,13],[3,5,6,7,8,10,11],[3,5,6,8,9,11,13],[4,6,7,8,9,10,14]]; G[8064]:=Group([(1,11)(3,12)(4,10)(7,9)(8,14)]); # Design 8065: autom. group order 2, simple B[8065]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,12,13],[1,2,7,8,9,10,14],[1,3,6,7,9,12,14],[1,3,8,10,11,13,14],[1,4,5,6,9,11,14],[1,4,6,8,10,12,14],[1,4,7,9,10,12,13],[1,5,6,7,11,13,14],[1,5,8,9,11,12,13],[2,3,6,9,12,13,14],[2,3,7,8,9,11,14],[2,4,5,9,10,13,14],[2,4,6,7,8,11,13],[2,4,6,8,12,13,14],[2,5,6,9,10,11,12],[2,5,7,10,11,12,14],[3,4,5,7,10,13,14],[3,4,5,8,11,12,14],[3,4,7,9,11,12,13],[3,5,6,7,8,10,12],[3,5,6,8,9,10,13],[4,6,7,8,9,10,11]]; G[8065]:=Group([(1,10)(3,11)(4,12)(7,9)(8,14)]); # Design 8066: autom. group order 2, simple B[8066]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,13],[1,2,7,8,9,11,14],[1,3,6,9,10,11,14],[1,3,7,9,11,12,13],[1,4,5,6,9,12,14],[1,4,6,7,8,11,12],[1,4,8,10,11,13,14],[1,5,6,7,12,13,14],[1,5,8,9,10,12,13],[2,3,6,8,12,13,14],[2,3,7,8,9,12,14],[2,4,5,9,11,13,14],[2,4,6,7,9,10,13],[2,4,6,8,11,12,13],[2,5,6,9,10,11,12],[2,5,7,10,11,12,14],[3,4,5,7,11,13,14],[3,4,5,8,10,12,14],[3,4,7,9,10,12,13],[3,5,6,7,8,10,11],[3,5,6,8,9,11,13],[4,6,7,8,9,10,14]]; G[8066]:=Group([(1,11)(3,12)(4,10)(7,9)(8,14)]); # Design 8067: autom. group order 2, simple, residual B[8067]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,9,12,13,14],[1,3,6,8,9,12,13],[1,3,7,10,11,12,13],[1,4,5,6,11,12,14],[1,4,6,7,9,10,14],[1,4,8,9,11,13,14],[1,5,6,8,9,10,11],[1,5,7,8,10,12,14],[2,3,6,8,10,11,14],[2,3,7,8,9,11,14],[2,4,5,8,10,12,13],[2,4,6,7,8,12,14],[2,4,6,9,11,12,13],[2,5,6,7,9,10,13],[2,5,9,10,11,12,14],[3,4,5,7,11,13,14],[3,4,5,9,10,13,14],[3,4,7,8,9,10,12],[3,5,6,7,9,11,12],[3,5,6,8,12,13,14],[4,6,7,8,10,11,13]]; G[8067]:=Group([(1,13)(2,14)(4,5)(6,10)(7,9)(8,11)]); # Design 8068: autom. group order 2, simple, residual B[8068]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,7,8,10,13,14],[1,3,6,8,9,12,13],[1,3,7,9,10,11,14],[1,4,5,6,10,13,14],[1,4,6,8,11,12,14],[1,4,7,9,11,12,14],[1,5,6,7,8,9,11],[1,5,8,9,10,12,13],[2,3,6,7,8,12,14],[2,3,8,9,11,13,14],[2,4,5,9,11,13,14],[2,4,6,7,9,12,13],[2,4,6,8,9,10,14],[2,5,6,9,10,11,12],[2,5,7,8,10,11,12],[3,4,5,7,8,11,13],[3,4,5,8,10,12,14],[3,4,7,9,10,12,13],[3,5,6,7,9,10,14],[3,5,6,11,12,13,14],[4,6,7,8,10,11,13]]; G[8068]:=Group([(1,11)(3,10)(4,12)(7,9)]); # Design 8069: autom. group order 2, simple, residual B[8069]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,8,9,10,14],[1,3,6,9,10,11,13],[1,3,7,8,12,13,14],[1,4,5,6,9,13,14],[1,4,6,8,11,12,14],[1,4,7,9,11,12,14],[1,5,6,7,8,10,12],[1,5,9,10,11,12,13],[2,3,6,7,9,11,12],[2,3,8,9,12,13,14],[2,4,5,10,12,13,14],[2,4,6,7,11,13,14],[2,4,6,8,9,10,12],[2,5,6,8,11,12,13],[2,5,7,9,10,11,14],[3,4,5,7,9,12,13],[3,4,5,8,10,11,14],[3,4,7,8,10,11,13],[3,5,6,7,10,12,14],[3,5,6,8,9,11,14],[4,6,7,8,9,10,13]]; G[8069]:=Group([(2,12)(3,11)(5,14)(6,9)]); # Design 8070: autom. group order 2, simple B[8070]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,7,9,11,13,14],[1,3,6,9,11,12,13],[1,3,7,8,11,12,14],[1,4,5,6,9,11,14],[1,4,6,10,12,13,14],[1,4,7,8,9,10,12],[1,5,6,7,8,12,14],[1,5,8,9,10,11,13],[2,3,6,7,9,10,14],[2,3,8,9,12,13,14],[2,4,5,8,12,13,14],[2,4,6,7,11,12,13],[2,4,6,8,9,11,14],[2,5,6,8,10,11,12],[2,5,7,9,10,11,12],[3,4,5,7,9,12,13],[3,4,5,10,11,13,14],[3,4,7,8,10,11,14],[3,5,6,7,8,11,13],[3,5,6,9,10,12,14],[4,6,7,8,9,10,13]]; G[8070]:=Group([(1,12)(3,11)(4,10)(7,8)]); # Design 8071: autom. group order 2, simple, residual B[8071]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,7,9,11,13,14],[1,3,6,9,11,12,13],[1,3,7,8,11,12,14],[1,4,5,6,11,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,12,14],[1,5,6,7,8,9,12],[1,5,8,9,10,11,13],[2,3,6,7,9,10,14],[2,3,8,9,12,13,14],[2,4,5,8,12,13,14],[2,4,6,7,11,12,13],[2,4,6,8,9,11,14],[2,5,6,8,10,11,12],[2,5,7,9,10,11,12],[3,4,5,7,9,12,13],[3,4,5,9,10,11,14],[3,4,7,8,10,11,13],[3,5,6,7,8,11,14],[3,5,6,10,12,13,14],[4,6,7,8,9,10,13]]; G[8071]:=Group([(1,12)(3,11)(4,10)(7,8)]); # Design 8072: autom. group order 2, simple, residual B[8072]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,7,9,11,13,14],[1,3,6,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,6,9,11,14],[1,4,6,9,10,12,13],[1,4,7,8,10,12,14],[1,5,6,7,8,12,14],[1,5,8,9,10,11,13],[2,3,6,7,9,10,14],[2,3,8,9,12,13,14],[2,4,5,8,12,13,14],[2,4,6,7,11,12,13],[2,4,6,8,9,11,14],[2,5,6,8,10,11,12],[2,5,7,9,10,11,12],[3,4,5,7,9,12,13],[3,4,5,10,11,13,14],[3,4,7,8,10,11,14],[3,5,6,7,8,11,13],[3,5,6,9,10,12,14],[4,6,7,8,9,10,13]]; G[8072]:=Group([(1,12)(3,11)(4,10)(7,8)]); # Design 8073: autom. group order 2, simple, residual B[8073]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,8,9,10,14],[1,3,6,9,10,11,13],[1,3,7,8,12,13,14],[1,4,5,6,9,13,14],[1,4,6,8,11,12,14],[1,4,7,9,11,12,14],[1,5,6,7,8,10,12],[1,5,9,10,11,12,13],[2,3,6,8,9,11,12],[2,3,7,9,12,13,14],[2,4,5,10,12,13,14],[2,4,6,7,9,10,12],[2,4,6,8,11,13,14],[2,5,6,7,11,12,13],[2,5,8,9,10,11,14],[3,4,5,7,10,11,14],[3,4,5,8,9,12,13],[3,4,7,8,10,11,13],[3,5,6,7,9,11,14],[3,5,6,8,10,12,14],[4,6,7,8,9,10,13]]; G[8073]:=Group([(2,12)(3,11)(5,14)(6,9)]); # Design 8074: autom. group order 2, simple B[8074]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,8,9,10,12],[1,3,6,8,9,11,13],[1,3,7,9,11,12,14],[1,4,5,6,10,11,14],[1,4,6,8,11,12,14],[1,4,7,9,12,13,14],[1,5,6,9,10,12,13],[1,5,7,8,10,13,14],[2,3,6,7,8,12,14],[2,3,9,10,11,13,14],[2,4,5,9,11,12,13],[2,4,6,7,10,12,13],[2,4,6,8,9,13,14],[2,5,6,7,9,11,14],[2,5,8,10,11,12,14],[3,4,5,7,9,10,14],[3,4,5,8,12,13,14],[3,4,7,8,10,11,13],[3,5,6,7,11,12,13],[3,5,6,8,9,10,12],[4,6,7,8,9,10,11]]; G[8074]:=Group([(2,12)(3,9)(4,7)(5,14)(6,13)(8,11)]); # Design 8075: autom. group order 2, simple B[8075]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,13],[1,2,7,8,9,11,14],[1,3,6,9,10,11,14],[1,3,8,11,12,13,14],[1,4,5,6,9,12,14],[1,4,6,7,8,11,12],[1,4,7,9,10,11,13],[1,5,6,7,12,13,14],[1,5,8,9,10,12,13],[2,3,6,7,9,12,13],[2,3,7,8,9,12,14],[2,4,5,9,11,13,14],[2,4,6,8,10,13,14],[2,4,6,8,11,12,13],[2,5,6,9,10,11,12],[2,5,7,10,11,12,14],[3,4,5,7,11,13,14],[3,4,5,8,10,12,14],[3,4,7,9,10,12,13],[3,5,6,7,8,10,11],[3,5,6,8,9,11,13],[4,6,7,8,9,10,14]]; G[8075]:=Group([(1,11)(3,12)(4,10)(7,9)(8,14)]); # Design 8076: autom. group order 2, simple, residual B[8076]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,13,14],[1,2,7,8,9,11,13],[1,3,6,7,9,10,11],[1,3,7,8,11,12,14],[1,4,5,6,7,12,13],[1,4,6,8,11,12,13],[1,4,8,9,10,12,14],[1,5,6,9,11,13,14],[1,5,7,9,10,12,14],[2,3,6,9,12,13,14],[2,3,7,8,9,12,13],[2,4,5,7,9,11,14],[2,4,6,7,8,10,14],[2,4,6,9,11,12,14],[2,5,6,8,10,11,12],[2,5,7,10,11,12,13],[3,4,5,8,11,13,14],[3,4,5,9,10,12,13],[3,4,7,10,11,13,14],[3,5,6,7,8,12,14],[3,5,6,8,9,10,11],[4,6,7,8,9,10,13]]; G[8076]:=Group([(1,11)(3,12)(4,10)(7,8)(9,13)]); # Design 8077: autom. group order 2, simple, residual B[8077]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,7,8,9,10,14],[1,3,6,7,8,12,14],[1,3,7,9,10,12,13],[1,4,5,6,7,11,14],[1,4,6,9,10,12,14],[1,4,8,10,11,13,14],[1,5,6,8,9,11,13],[1,5,7,9,11,12,13],[2,3,6,9,11,13,14],[2,3,7,8,9,11,14],[2,4,5,7,9,10,13],[2,4,6,7,8,12,13],[2,4,6,9,12,13,14],[2,5,6,8,10,11,12],[2,5,7,10,11,12,14],[3,4,5,8,10,13,14],[3,4,5,9,11,12,14],[3,4,7,8,11,12,13],[3,5,6,7,10,13,14],[3,5,6,8,9,10,12],[4,6,7,8,9,10,11]]; G[8077]:=Group([(1,10)(3,11)(4,12)(7,8)(9,14)]); # Design 8078: autom. group order 2, simple, residual B[8078]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,7,8,9,10,14],[1,3,6,7,9,12,14],[1,3,7,8,11,12,13],[1,4,5,6,9,11,14],[1,4,6,8,10,12,14],[1,4,7,9,10,12,13],[1,5,6,7,11,13,14],[1,5,8,9,11,12,13],[2,3,6,9,12,13,14],[2,3,7,8,9,11,14],[2,4,5,7,9,12,13],[2,4,6,7,8,11,13],[2,4,6,8,12,13,14],[2,5,6,9,10,11,12],[2,5,7,10,11,12,14],[3,4,5,7,10,13,14],[3,4,5,8,11,12,14],[3,4,9,10,11,13,14],[3,5,6,7,8,10,12],[3,5,6,8,9,10,13],[4,6,7,8,9,10,11]]; G[8078]:=Group([(1,10)(3,11)(4,12)(7,9)(8,14)]); # Design 8079: autom. group order 2, simple, residual B[8079]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,8,9,11,13],[1,3,6,7,9,11,12],[1,3,7,8,10,12,14],[1,4,5,6,9,12,13],[1,4,6,8,10,11,13],[1,4,7,9,10,11,14],[1,5,6,7,12,13,14],[1,5,8,9,10,12,14],[2,3,6,9,10,13,14],[2,3,7,8,9,12,13],[2,4,5,7,9,10,14],[2,4,6,7,8,12,14],[2,4,6,8,11,12,14],[2,5,6,9,10,11,12],[2,5,7,10,11,12,13],[3,4,5,7,11,13,14],[3,4,5,8,10,12,13],[3,4,9,11,12,13,14],[3,5,6,7,8,10,11],[3,5,6,8,9,11,14],[4,6,7,8,9,10,13]]; G[8079]:=Group([(1,11)(3,12)(4,10)(7,9)(8,13)]); # Design 8080: autom. group order 2, simple B[8080]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,8,9,11,13],[1,3,6,9,10,11,13],[1,3,7,8,10,12,14],[1,4,5,6,9,12,13],[1,4,6,7,8,11,12],[1,4,7,9,10,11,14],[1,5,6,7,12,13,14],[1,5,8,9,10,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,7,9,10,14],[2,4,6,8,10,13,14],[2,4,6,8,11,12,14],[2,5,6,9,10,11,12],[2,5,7,10,11,12,13],[3,4,5,7,11,13,14],[3,4,5,8,10,12,13],[3,4,9,11,12,13,14],[3,5,6,7,8,10,11],[3,5,6,8,9,11,14],[4,6,7,8,9,10,13]]; G[8080]:=Group([(1,11)(3,12)(4,10)(7,9)(8,13)]); # Design 8081: autom. group order 2, simple B[8081]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,8,11,13,14],[1,3,6,9,10,12,13],[1,3,7,8,9,12,13],[1,4,5,6,11,12,14],[1,4,6,7,8,10,14],[1,4,7,9,11,13,14],[1,5,6,7,9,10,11],[1,5,8,9,10,12,14],[2,3,6,8,9,11,14],[2,3,7,10,11,12,14],[2,4,5,9,10,11,13],[2,4,6,7,9,12,13],[2,4,6,8,9,12,14],[2,5,6,7,8,10,13],[2,5,7,9,10,12,14],[3,4,5,7,12,13,14],[3,4,5,8,10,13,14],[3,4,7,8,9,10,11],[3,5,6,7,8,11,12],[3,5,6,9,11,13,14],[4,6,8,10,11,12,13]]; G[8081]:=Group([(1,13)(2,14)(4,5)(6,10)(7,8)(9,12)]); # Design 8082: autom. group order 2, simple, residual B[8082]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,11],[1,2,8,9,12,13,14],[1,3,6,8,10,11,13],[1,3,7,9,10,12,13],[1,4,5,6,10,12,14],[1,4,6,9,11,12,14],[1,4,7,9,11,13,14],[1,5,6,7,8,11,13],[1,5,7,8,10,12,14],[2,3,6,8,11,12,14],[2,3,7,9,10,11,14],[2,4,5,7,11,12,13],[2,4,6,8,10,13,14],[2,4,7,8,10,12,13],[2,5,6,7,9,10,14],[2,5,6,9,11,12,13],[3,4,5,8,9,13,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,12],[3,5,6,9,10,12,13],[3,5,7,8,11,12,14],[4,6,7,8,9,10,11]]; G[8082]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8083: autom. group order 2, simple, residual B[8083]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,11],[1,2,8,9,12,13,14],[1,3,6,8,10,11,13],[1,3,7,9,10,12,14],[1,4,5,6,10,12,14],[1,4,6,9,11,13,14],[1,4,7,9,11,12,13],[1,5,6,7,8,11,14],[1,5,7,8,10,12,13],[2,3,6,8,11,12,13],[2,3,7,9,10,11,14],[2,4,5,7,11,12,13],[2,4,6,8,10,12,14],[2,4,7,8,10,13,14],[2,5,6,7,9,10,13],[2,5,6,9,11,12,14],[3,4,5,8,9,13,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,12],[3,5,6,9,10,12,13],[3,5,7,8,11,12,14],[4,6,7,8,9,10,11]]; G[8083]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8084: autom. group order 2, simple, residual B[8084]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,11],[1,2,8,9,12,13,14],[1,3,6,8,10,11,13],[1,3,7,9,10,12,13],[1,4,5,6,11,12,13],[1,4,6,9,10,12,14],[1,4,7,9,11,13,14],[1,5,6,7,8,10,14],[1,5,7,8,11,12,14],[2,3,6,8,11,12,14],[2,3,7,9,10,11,14],[2,4,5,7,10,12,14],[2,4,6,8,10,13,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,13],[2,5,6,9,10,12,13],[3,4,5,8,9,13,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,12],[3,5,6,9,11,12,14],[3,5,7,8,10,12,13],[4,6,7,8,9,10,11]]; G[8084]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8085: autom. group order 2, simple, residual B[8085]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,11],[1,2,8,9,12,13,14],[1,3,6,8,10,12,13],[1,3,7,9,10,11,13],[1,4,5,6,11,12,14],[1,4,6,9,11,13,14],[1,4,7,9,10,12,14],[1,5,6,7,8,10,14],[1,5,7,8,11,12,13],[2,3,6,8,10,11,14],[2,3,7,9,11,12,14],[2,4,5,7,10,12,13],[2,4,6,8,11,12,13],[2,4,7,8,10,13,14],[2,5,6,7,9,11,13],[2,5,6,9,10,12,14],[3,4,5,8,9,13,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,12],[3,5,6,9,10,12,13],[3,5,7,8,11,12,14],[4,6,7,8,9,10,11]]; G[8085]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8086: autom. group order 2, simple, residual B[8086]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,11],[1,2,8,9,12,13,14],[1,3,6,8,10,11,13],[1,3,7,9,10,12,14],[1,4,5,6,11,12,14],[1,4,6,9,10,13,14],[1,4,7,8,10,12,13],[1,5,6,7,9,11,13],[1,5,7,8,11,12,14],[2,3,6,8,11,12,13],[2,3,7,9,10,11,14],[2,4,5,7,10,12,13],[2,4,6,9,11,12,14],[2,4,7,8,11,13,14],[2,5,6,7,8,10,14],[2,5,6,9,10,12,13],[3,4,5,8,9,13,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,12],[3,5,6,8,10,12,14],[3,5,7,9,11,12,13],[4,6,7,8,9,10,11]]; G[8086]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8087: autom. group order 2, simple, residual B[8087]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,11],[1,2,8,9,12,13,14],[1,3,6,8,10,12,13],[1,3,7,9,10,11,13],[1,4,5,6,10,12,14],[1,4,6,9,11,12,13],[1,4,7,8,11,13,14],[1,5,6,7,8,11,14],[1,5,7,9,10,12,14],[2,3,6,8,10,11,14],[2,3,7,9,11,12,14],[2,4,5,7,11,12,13],[2,4,6,9,10,13,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,13],[2,5,6,8,11,12,13],[3,4,5,8,9,13,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,12],[3,5,6,9,11,12,14],[3,5,7,8,10,12,13],[4,6,7,8,9,10,11]]; G[8087]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8088: autom. group order 2, simple, residual B[8088]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,11],[1,2,8,9,12,13,14],[1,3,6,8,10,12,13],[1,3,7,9,10,11,14],[1,4,5,6,10,12,14],[1,4,6,9,11,13,14],[1,4,7,8,11,12,13],[1,5,6,7,8,11,14],[1,5,7,9,10,12,13],[2,3,6,8,10,11,13],[2,3,7,9,11,12,14],[2,4,5,7,11,12,13],[2,4,6,9,10,12,14],[2,4,7,8,10,13,14],[2,5,6,7,9,10,13],[2,5,6,8,11,12,14],[3,4,5,8,9,13,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,12],[3,5,6,9,11,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8088]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8089: autom. group order 2, simple, residual B[8089]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,11],[1,2,8,9,12,13,14],[1,3,6,8,10,12,13],[1,3,7,9,10,11,13],[1,4,5,6,11,12,14],[1,4,6,9,11,13,14],[1,4,7,8,11,12,13],[1,5,6,7,8,10,14],[1,5,7,9,10,12,14],[2,3,6,8,10,11,14],[2,3,7,9,11,12,14],[2,4,5,7,10,12,13],[2,4,6,9,10,12,14],[2,4,7,8,10,13,14],[2,5,6,7,9,11,13],[2,5,6,8,11,12,13],[3,4,5,8,9,13,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,12],[3,5,6,9,10,12,13],[3,5,7,8,11,12,14],[4,6,7,8,9,10,11]]; G[8089]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8090: autom. group order 2, simple, residual B[8090]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,11],[1,2,8,9,12,13,14],[1,3,6,8,10,11,13],[1,3,7,8,10,12,13],[1,4,5,6,10,12,14],[1,4,6,9,11,12,13],[1,4,7,9,11,13,14],[1,5,6,7,9,10,14],[1,5,7,8,11,12,14],[2,3,6,9,11,12,14],[2,3,7,9,10,11,14],[2,4,5,7,11,12,13],[2,4,6,8,10,13,14],[2,4,7,8,10,12,14],[2,5,6,7,8,11,13],[2,5,6,9,10,12,13],[3,4,5,8,9,13,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,12],[3,5,6,8,11,12,14],[3,5,7,9,10,12,13],[4,6,7,8,9,10,11]]; G[8090]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8091: autom. group order 2, simple, residual B[8091]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,11],[1,2,8,9,12,13,14],[1,3,6,8,10,11,13],[1,3,7,8,10,12,13],[1,4,5,6,11,12,14],[1,4,6,9,10,13,14],[1,4,7,9,10,12,14],[1,5,6,7,9,11,13],[1,5,7,8,11,12,14],[2,3,6,9,11,12,14],[2,3,7,9,10,11,14],[2,4,5,7,10,12,13],[2,4,6,8,11,12,13],[2,4,7,8,11,13,14],[2,5,6,7,8,10,14],[2,5,6,9,10,12,13],[3,4,5,8,9,13,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,12],[3,5,6,8,10,12,14],[3,5,7,9,11,12,13],[4,6,7,8,9,10,11]]; G[8091]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8092: autom. group order 2, simple, residual B[8092]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,11],[1,2,8,9,12,13,14],[1,3,6,8,10,11,13],[1,3,7,8,10,12,13],[1,4,5,6,10,12,14],[1,4,6,9,11,13,14],[1,4,7,9,11,12,13],[1,5,6,7,8,11,14],[1,5,7,9,10,12,14],[2,3,6,9,11,12,14],[2,3,7,9,10,11,14],[2,4,5,7,11,12,13],[2,4,6,8,10,12,14],[2,4,7,8,10,13,14],[2,5,6,7,9,10,13],[2,5,6,8,11,12,13],[3,4,5,8,9,13,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,12],[3,5,6,9,10,12,13],[3,5,7,8,11,12,14],[4,6,7,8,9,10,11]]; G[8092]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8093: autom. group order 2, simple, residual B[8093]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,11],[1,2,8,9,12,13,14],[1,3,6,8,10,12,13],[1,3,7,8,10,11,14],[1,4,5,6,11,12,13],[1,4,6,9,10,12,14],[1,4,7,9,10,13,14],[1,5,6,7,8,11,14],[1,5,7,9,11,12,13],[2,3,6,9,10,11,13],[2,3,7,9,11,12,14],[2,4,5,7,10,12,14],[2,4,6,8,11,13,14],[2,4,7,8,11,12,13],[2,5,6,7,9,10,13],[2,5,6,8,10,12,14],[3,4,5,8,9,13,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,12],[3,5,6,9,11,12,14],[3,5,7,8,10,12,13],[4,6,7,8,9,10,11]]; G[8093]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8094: autom. group order 2, simple, residual B[8094]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,11],[1,2,8,9,12,13,14],[1,3,6,8,10,12,13],[1,3,7,8,10,11,13],[1,4,5,6,11,12,14],[1,4,6,9,10,13,14],[1,4,7,9,10,12,14],[1,5,6,7,8,11,14],[1,5,7,9,11,12,13],[2,3,6,9,10,11,14],[2,3,7,9,11,12,14],[2,4,5,7,10,12,13],[2,4,6,8,11,12,13],[2,4,7,8,11,13,14],[2,5,6,7,9,10,13],[2,5,6,8,10,12,14],[3,4,5,8,9,13,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,12],[3,5,6,9,11,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8094]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8095: autom. group order 2, simple, residual B[8095]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,11],[1,2,8,9,12,13,14],[1,3,6,8,10,11,13],[1,3,7,8,10,12,14],[1,4,5,6,10,12,13],[1,4,6,9,11,12,14],[1,4,7,8,11,13,14],[1,5,6,7,9,10,14],[1,5,7,9,11,12,13],[2,3,6,9,11,12,13],[2,3,7,9,10,11,14],[2,4,5,7,11,12,14],[2,4,6,9,10,13,14],[2,4,7,8,10,12,13],[2,5,6,7,8,11,13],[2,5,6,8,10,12,14],[3,4,5,8,9,13,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,12],[3,5,6,8,11,12,14],[3,5,7,9,10,12,13],[4,6,7,8,9,10,11]]; G[8095]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8096: autom. group order 2, simple, residual B[8096]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,11],[1,2,8,9,12,13,14],[1,3,6,8,10,11,13],[1,3,7,8,10,12,14],[1,4,5,6,10,12,14],[1,4,6,9,11,13,14],[1,4,7,8,11,12,13],[1,5,6,7,9,10,13],[1,5,7,9,11,12,14],[2,3,6,9,11,12,13],[2,3,7,9,10,11,14],[2,4,5,7,11,12,13],[2,4,6,9,10,12,14],[2,4,7,8,10,13,14],[2,5,6,7,8,11,14],[2,5,6,8,10,12,13],[3,4,5,8,9,13,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,12],[3,5,6,8,11,12,14],[3,5,7,9,10,12,13],[4,6,7,8,9,10,11]]; G[8096]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8097: autom. group order 2, simple, residual B[8097]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,11],[1,2,8,9,12,13,14],[1,3,6,8,10,12,13],[1,3,7,8,10,11,13],[1,4,5,6,10,12,14],[1,4,6,9,11,13,14],[1,4,7,8,11,12,14],[1,5,6,7,9,11,13],[1,5,7,9,10,12,14],[2,3,6,9,10,11,14],[2,3,7,9,11,12,14],[2,4,5,7,11,12,13],[2,4,6,9,10,12,13],[2,4,7,8,10,13,14],[2,5,6,7,8,10,14],[2,5,6,8,11,12,13],[3,4,5,8,9,13,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,12],[3,5,6,8,11,12,14],[3,5,7,9,10,12,13],[4,6,7,8,9,10,11]]; G[8097]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8098: autom. group order 2, simple, residual B[8098]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,7,9,10,13,14],[1,3,6,7,9,11,14],[1,3,8,9,12,13,14],[1,4,5,6,11,12,13],[1,4,6,7,8,10,14],[1,4,7,8,9,11,12],[1,5,6,9,10,12,13],[1,5,8,10,11,12,14],[2,3,6,8,11,12,14],[2,3,7,10,11,12,13],[2,4,5,9,10,11,14],[2,4,6,9,10,12,14],[2,4,7,8,9,12,13],[2,5,6,7,8,12,14],[2,5,6,8,9,11,13],[3,4,5,7,12,13,14],[3,4,5,8,10,13,14],[3,4,6,9,11,13,14],[3,5,6,7,9,10,12],[3,5,7,8,9,10,11],[4,6,7,8,10,11,13]]; G[8098]:=Group([(1,13)(2,14)(6,12)(9,10)]); # Design 8099: autom. group order 2, simple B[8099]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,7,9,10,13,14],[1,3,6,7,10,11,14],[1,3,8,9,12,13,14],[1,4,5,6,9,11,14],[1,4,6,7,8,12,13],[1,4,7,8,9,11,12],[1,5,6,9,10,12,13],[1,5,8,10,11,12,14],[2,3,6,8,11,12,14],[2,3,7,9,11,12,13],[2,4,5,10,11,12,13],[2,4,6,9,10,12,14],[2,4,7,8,9,10,14],[2,5,6,7,8,12,14],[2,5,6,8,9,11,13],[3,4,5,7,12,13,14],[3,4,5,8,10,13,14],[3,4,6,9,11,13,14],[3,5,6,7,9,10,12],[3,5,7,8,9,10,11],[4,6,7,8,10,11,13]]; G[8099]:=Group([(1,13)(2,14)(6,12)(9,10)]); # Design 8100: autom. group order 2, simple, residual B[8100]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,7,9,10,13,14],[1,3,6,7,10,11,14],[1,3,8,9,12,13,14],[1,4,5,6,9,11,14],[1,4,6,9,10,12,13],[1,4,7,8,9,11,12],[1,5,6,7,8,12,13],[1,5,8,10,11,12,14],[2,3,6,8,11,12,14],[2,3,7,9,11,12,13],[2,4,5,10,11,12,13],[2,4,6,7,8,12,14],[2,4,7,8,9,10,14],[2,5,6,8,9,11,13],[2,5,6,9,10,12,14],[3,4,5,7,12,13,14],[3,4,5,8,10,13,14],[3,4,6,9,11,13,14],[3,5,6,7,9,10,12],[3,5,7,8,9,10,11],[4,6,7,8,10,11,13]]; G[8100]:=Group([(1,13)(2,14)(6,12)(9,10)]); # Design 8101: autom. group order 2, simple B[8101]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,8,9,10,14],[1,3,6,8,9,12,13],[1,3,7,8,12,13,14],[1,4,5,6,9,10,14],[1,4,6,7,11,13,14],[1,4,8,9,11,12,14],[1,5,6,10,11,12,13],[1,5,7,9,10,11,12],[2,3,6,7,9,11,12],[2,3,9,10,11,13,14],[2,4,5,7,12,13,14],[2,4,6,8,11,12,14],[2,4,7,9,10,12,13],[2,5,6,8,9,11,13],[2,5,6,8,10,12,14],[3,4,5,8,10,12,13],[3,4,5,9,11,13,14],[3,4,6,7,8,10,11],[3,5,6,7,9,12,14],[3,5,7,8,10,11,14],[4,6,7,8,9,10,13]]; G[8101]:=Group([(2,11)(3,12)(4,10)(6,9)(8,13)]); # Design 8102: autom. group order 2, simple, residual B[8102]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,10,11,13],[1,2,7,9,10,12,13],[1,3,6,9,11,13,14],[1,3,7,8,9,11,12],[1,4,5,6,10,12,14],[1,4,6,8,10,12,13],[1,4,7,8,11,13,14],[1,5,6,7,9,12,14],[1,5,8,9,10,11,14],[2,3,6,7,8,10,14],[2,3,9,10,12,13,14],[2,4,5,7,9,13,14],[2,4,6,9,11,12,14],[2,4,7,8,11,12,14],[2,5,6,8,9,10,11],[2,5,6,8,11,12,13],[3,4,5,8,9,12,13],[3,4,5,10,11,13,14],[3,4,6,7,9,10,11],[3,5,6,7,11,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,13]]; G[8102]:=Group([(1,12)(3,11)(5,14)(7,9)]); # Design 8103: autom. group order 2, simple B[8103]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,8,9,10,13,14],[1,3,6,7,9,12,13],[1,3,7,8,12,13,14],[1,4,5,6,9,10,14],[1,4,6,7,8,11,14],[1,4,7,9,11,12,14],[1,5,6,8,10,11,12],[1,5,9,10,11,12,13],[2,3,6,8,9,11,12],[2,3,7,9,10,11,14],[2,4,5,8,12,13,14],[2,4,6,11,12,13,14],[2,4,7,8,9,10,12],[2,5,6,7,9,11,13],[2,5,6,7,10,12,14],[3,4,5,7,10,12,13],[3,4,5,9,11,13,14],[3,4,6,8,10,11,13],[3,5,6,8,9,12,14],[3,5,7,8,10,11,14],[4,6,7,8,9,10,13]]; G[8103]:=Group([(2,11)(3,12)(4,10)(6,9)(7,13)]); # Design 8104: autom. group order 2, simple, residual B[8104]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,8,9,11,13],[1,3,6,7,9,11,12],[1,3,7,8,10,12,14],[1,4,5,6,9,12,13],[1,4,6,8,10,11,13],[1,4,8,9,10,12,14],[1,5,6,7,12,13,14],[1,5,7,9,10,11,14],[2,3,6,9,10,13,14],[2,3,7,8,9,12,13],[2,4,5,7,9,10,14],[2,4,6,9,11,12,14],[2,4,7,11,12,13,14],[2,5,6,7,8,10,12],[2,5,6,8,10,11,12],[3,4,5,7,10,11,13],[3,4,5,8,12,13,14],[3,4,6,7,8,11,14],[3,5,6,8,9,11,14],[3,5,9,10,11,12,13],[4,6,7,8,9,10,13]]; G[8104]:=Group([(1,11)(3,12)(5,14)(7,9)(8,13)]); # Design 8105: autom. group order 2, simple, residual B[8105]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,8,9,11,13],[1,3,6,7,8,12,14],[1,3,7,9,10,11,12],[1,4,5,6,9,12,13],[1,4,6,8,10,11,13],[1,4,8,9,10,12,14],[1,5,6,7,9,11,14],[1,5,7,10,12,13,14],[2,3,6,9,10,13,14],[2,3,7,8,9,12,13],[2,4,5,7,9,10,14],[2,4,6,9,11,12,14],[2,4,7,11,12,13,14],[2,5,6,7,8,10,12],[2,5,6,8,10,11,12],[3,4,5,7,10,11,13],[3,4,5,8,12,13,14],[3,4,6,7,8,11,14],[3,5,6,9,11,12,13],[3,5,8,9,10,11,14],[4,6,7,8,9,10,13]]; G[8105]:=Group([(1,11)(3,12)(5,14)(7,9)(8,13)]); # Design 8106: autom. group order 2, simple, residual B[8106]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,7,9,10,12,13],[1,3,6,7,9,11,12],[1,3,7,8,11,13,14],[1,4,5,6,12,13,14],[1,4,6,8,10,12,13],[1,4,8,9,10,11,14],[1,5,6,7,10,11,14],[1,5,7,8,9,12,14],[2,3,6,8,9,10,14],[2,3,7,10,12,13,14],[2,4,5,7,9,13,14],[2,4,6,9,11,12,14],[2,4,7,8,11,12,14],[2,5,6,7,8,10,11],[2,5,6,8,11,12,13],[3,4,5,7,8,10,12],[3,4,5,10,11,13,14],[3,4,6,7,9,11,13],[3,5,6,9,10,12,14],[3,5,8,9,11,12,13],[4,6,7,8,9,10,13]]; G[8106]:=Group([(1,12)(3,11)(5,14)(7,9)]); # Design 8107: autom. group order 2, simple, residual B[8107]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,9,10,11,13],[1,2,7,9,10,12,13],[1,3,6,7,11,13,14],[1,3,7,8,9,11,12],[1,4,5,6,10,12,14],[1,4,6,8,10,12,13],[1,4,8,9,11,13,14],[1,5,6,7,9,12,14],[1,5,7,8,10,11,14],[2,3,6,8,9,10,14],[2,3,7,10,12,13,14],[2,4,5,7,9,13,14],[2,4,6,9,11,12,14],[2,4,7,8,11,12,14],[2,5,6,7,8,10,11],[2,5,6,8,11,12,13],[3,4,5,7,8,12,13],[3,4,5,10,11,13,14],[3,4,6,7,9,10,11],[3,5,6,9,11,12,13],[3,5,8,9,10,12,14],[4,6,7,8,9,10,13]]; G[8107]:=Group([(1,12)(3,11)(5,14)(7,9)]); # Design 8108: autom. group order 2, simple, residual B[8108]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,8,9,11,13],[1,3,6,7,9,11,12],[1,3,9,10,12,13,14],[1,4,5,6,7,12,13],[1,4,6,8,10,11,13],[1,4,7,8,10,12,14],[1,5,6,8,9,12,14],[1,5,7,9,10,11,14],[2,3,6,7,8,10,14],[2,3,7,8,9,12,13],[2,4,5,7,9,10,14],[2,4,6,9,11,12,14],[2,4,7,11,12,13,14],[2,5,6,8,10,11,12],[2,5,6,9,10,12,13],[3,4,5,8,12,13,14],[3,4,5,9,10,11,13],[3,4,6,8,9,11,14],[3,5,6,7,11,13,14],[3,5,7,8,10,11,12],[4,6,7,8,9,10,13]]; G[8108]:=Group([(1,11)(3,12)(5,14)(7,9)(8,13)]); # Design 8109: autom. group order 2, simple, residual B[8109]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,7,8,10,11,14],[1,3,6,8,11,12,13],[1,3,7,9,11,13,14],[1,4,5,6,9,12,14],[1,4,6,7,9,11,14],[1,4,7,8,10,12,13],[1,5,6,8,10,12,14],[1,5,7,9,10,12,13],[2,3,6,7,9,10,12],[2,3,7,8,9,12,14],[2,4,5,7,10,13,14],[2,4,6,11,12,13,14],[2,4,8,9,12,13,14],[2,5,6,7,8,11,12],[2,5,6,9,10,11,13],[3,4,5,7,11,12,13],[3,4,5,8,10,11,14],[3,4,6,8,9,10,13],[3,5,6,7,8,13,14],[3,5,9,10,11,12,14],[4,6,7,8,9,10,11]]; G[8109]:=Group([(1,14)(3,13)(5,12)(7,11)]); # Design 8110: autom. group order 2, simple, residual B[8110]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,7,8,12,13,14],[1,3,6,9,10,11,14],[1,3,7,8,9,11,14],[1,4,5,6,11,12,13],[1,4,6,8,9,12,14],[1,4,7,9,10,12,13],[1,5,6,7,8,10,13],[1,5,7,10,11,12,14],[2,3,6,7,9,12,13],[2,3,8,10,11,12,13],[2,4,5,9,10,12,14],[2,4,6,7,8,10,14],[2,4,7,9,11,13,14],[2,5,6,7,9,10,11],[2,5,6,8,11,12,14],[3,4,5,7,11,13,14],[3,4,5,8,10,13,14],[3,4,6,7,8,11,12],[3,5,6,9,12,13,14],[3,5,7,8,9,10,12],[4,6,8,9,10,11,13]]; G[8110]:=Group([(1,14)(2,13)(4,5)(6,10)(7,8)(9,11)]); # Design 8111: autom. group order 2, simple, residual B[8111]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,11],[1,2,8,9,12,13,14],[1,3,6,8,10,12,13],[1,3,7,9,10,11,13],[1,4,5,6,10,12,14],[1,4,7,8,11,12,14],[1,4,7,9,10,13,14],[1,5,6,7,8,11,13],[1,5,6,9,11,12,14],[2,3,6,8,10,11,14],[2,3,7,9,11,12,14],[2,4,5,7,11,12,13],[2,4,6,8,11,13,14],[2,4,6,9,10,12,13],[2,5,6,7,9,10,14],[2,5,7,8,10,12,13],[3,4,5,8,9,13,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,12],[3,5,6,9,11,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8111]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8112: autom. group order 2, simple, residual B[8112]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,11],[1,2,8,9,12,13,14],[1,3,6,8,10,12,13],[1,3,7,9,10,11,13],[1,4,5,6,11,12,13],[1,4,7,8,11,12,14],[1,4,7,9,10,13,14],[1,5,6,7,8,10,14],[1,5,6,9,11,12,14],[2,3,6,8,10,11,14],[2,3,7,9,11,12,14],[2,4,5,7,10,12,14],[2,4,6,8,11,13,14],[2,4,6,9,10,12,13],[2,5,6,7,9,11,13],[2,5,7,8,10,12,13],[3,4,5,8,9,13,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,12],[3,5,6,9,10,12,14],[3,5,7,8,11,12,13],[4,6,7,8,9,10,11]]; G[8112]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8113: autom. group order 2, simple, residual B[8113]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,11],[1,2,8,9,12,13,14],[1,3,6,8,10,12,13],[1,3,7,9,10,11,14],[1,4,5,6,11,12,14],[1,4,7,8,11,13,14],[1,4,7,9,10,12,13],[1,5,6,7,8,10,14],[1,5,6,9,11,12,13],[2,3,6,8,10,11,13],[2,3,7,9,11,12,14],[2,4,5,7,10,12,13],[2,4,6,8,11,12,14],[2,4,6,9,10,13,14],[2,5,6,7,9,11,13],[2,5,7,8,10,12,14],[3,4,5,8,9,13,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,12],[3,5,6,9,10,12,14],[3,5,7,8,11,12,13],[4,6,7,8,9,10,11]]; G[8113]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8114: autom. group order 2, simple, residual B[8114]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,11],[1,2,8,9,12,13,14],[1,3,6,8,10,11,13],[1,3,7,9,10,12,13],[1,4,5,6,11,12,13],[1,4,7,8,11,12,14],[1,4,7,9,11,13,14],[1,5,6,7,8,10,14],[1,5,6,9,10,12,14],[2,3,6,8,11,12,14],[2,3,7,9,10,11,14],[2,4,5,7,10,12,14],[2,4,6,8,10,13,14],[2,4,6,9,10,12,13],[2,5,6,7,9,11,13],[2,5,7,8,11,12,13],[3,4,5,8,9,13,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,12],[3,5,6,9,11,12,14],[3,5,7,8,10,12,13],[4,6,7,8,9,10,11]]; G[8114]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8115: autom. group order 2, simple, residual B[8115]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,11],[1,2,8,9,12,13,14],[1,3,6,8,10,12,13],[1,3,7,9,10,11,13],[1,4,5,6,11,12,13],[1,4,7,8,10,12,14],[1,4,7,8,11,13,14],[1,5,6,7,9,11,14],[1,5,6,9,10,12,14],[2,3,6,8,10,11,14],[2,3,7,9,11,12,14],[2,4,5,7,10,12,14],[2,4,6,9,10,13,14],[2,4,6,9,11,12,13],[2,5,6,7,8,10,13],[2,5,7,8,11,12,13],[3,4,5,8,9,13,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,12],[3,5,6,8,11,12,14],[3,5,7,9,10,12,13],[4,6,7,8,9,10,11]]; G[8115]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8116: autom. group order 2, simple, residual B[8116]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,11],[1,2,8,9,12,13,14],[1,3,6,8,10,11,13],[1,3,7,9,10,12,13],[1,4,5,6,11,12,14],[1,4,7,8,10,12,14],[1,4,7,8,11,13,14],[1,5,6,7,9,11,13],[1,5,6,9,10,12,14],[2,3,6,8,11,12,14],[2,3,7,9,10,11,14],[2,4,5,7,10,12,13],[2,4,6,9,10,13,14],[2,4,6,9,11,12,13],[2,5,6,7,8,10,14],[2,5,7,8,11,12,13],[3,4,5,8,9,13,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,12],[3,5,6,8,10,12,13],[3,5,7,9,11,12,14],[4,6,7,8,9,10,11]]; G[8116]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8117: autom. group order 2, simple, residual B[8117]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,11],[1,2,8,9,12,13,14],[1,3,6,8,10,11,13],[1,3,7,8,10,12,14],[1,4,5,6,10,12,13],[1,4,7,9,10,13,14],[1,4,7,9,11,12,13],[1,5,6,7,8,11,14],[1,5,6,9,11,12,14],[2,3,6,9,11,12,13],[2,3,7,9,10,11,14],[2,4,5,7,11,12,14],[2,4,6,8,10,12,14],[2,4,6,8,11,13,14],[2,5,6,7,9,10,13],[2,5,7,8,10,12,13],[3,4,5,8,9,13,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,12],[3,5,6,9,10,12,14],[3,5,7,8,11,12,13],[4,6,7,8,9,10,11]]; G[8117]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8118: autom. group order 2, simple, residual B[8118]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,11],[1,2,8,9,12,13,14],[1,3,6,8,10,12,13],[1,3,7,8,10,11,14],[1,4,5,6,11,12,14],[1,4,7,9,10,12,13],[1,4,7,9,11,13,14],[1,5,6,7,8,11,13],[1,5,6,9,10,12,14],[2,3,6,9,10,11,13],[2,3,7,9,11,12,14],[2,4,5,7,10,12,13],[2,4,6,8,10,13,14],[2,4,6,8,11,12,14],[2,5,6,7,9,10,14],[2,5,7,8,11,12,13],[3,4,5,8,9,13,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,12],[3,5,6,9,11,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8118]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8119: autom. group order 2, simple, residual B[8119]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,11],[1,2,8,9,12,13,14],[1,3,6,8,10,12,13],[1,3,7,8,10,11,14],[1,4,5,6,11,12,13],[1,4,7,9,10,13,14],[1,4,7,9,11,12,13],[1,5,6,7,8,11,14],[1,5,6,9,10,12,14],[2,3,6,9,10,11,13],[2,3,7,9,11,12,14],[2,4,5,7,10,12,14],[2,4,6,8,10,12,14],[2,4,6,8,11,13,14],[2,5,6,7,9,10,13],[2,5,7,8,11,12,13],[3,4,5,8,9,13,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,12],[3,5,6,9,11,12,14],[3,5,7,8,10,12,13],[4,6,7,8,9,10,11]]; G[8119]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8120: autom. group order 2, simple, residual B[8120]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,11],[1,2,8,9,12,13,14],[1,3,6,8,10,11,13],[1,3,7,8,10,12,13],[1,4,5,6,10,12,14],[1,4,7,8,11,12,14],[1,4,7,9,11,13,14],[1,5,6,7,9,10,14],[1,5,6,9,11,12,13],[2,3,6,9,11,12,14],[2,3,7,9,10,11,14],[2,4,5,7,11,12,13],[2,4,6,8,10,13,14],[2,4,6,9,10,12,13],[2,5,6,7,8,11,13],[2,5,7,8,10,12,14],[3,4,5,8,9,13,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,12],[3,5,6,8,11,12,14],[3,5,7,9,10,12,13],[4,6,7,8,9,10,11]]; G[8120]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8121: autom. group order 2, simple, residual B[8121]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,11],[1,2,8,9,12,13,14],[1,3,6,8,10,11,13],[1,3,7,8,10,12,14],[1,4,5,6,11,12,14],[1,4,7,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,7,9,11,14],[1,5,6,9,10,12,13],[2,3,6,9,11,12,13],[2,3,7,9,10,11,14],[2,4,5,7,10,12,13],[2,4,6,8,11,13,14],[2,4,6,9,10,12,14],[2,5,6,7,8,10,13],[2,5,7,8,11,12,14],[3,4,5,8,9,13,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,12],[3,5,6,8,10,12,14],[3,5,7,9,11,12,13],[4,6,7,8,9,10,11]]; G[8121]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8122: autom. group order 2, simple, residual B[8122]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,11],[1,2,8,9,12,13,14],[1,3,6,8,10,11,13],[1,3,7,8,10,12,14],[1,4,5,6,11,12,14],[1,4,7,8,11,13,14],[1,4,7,9,10,12,13],[1,5,6,7,9,11,13],[1,5,6,9,10,12,14],[2,3,6,9,11,12,13],[2,3,7,9,10,11,14],[2,4,5,7,10,12,13],[2,4,6,8,11,12,14],[2,4,6,9,10,13,14],[2,5,6,7,8,10,14],[2,5,7,8,11,12,13],[3,4,5,8,9,13,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,12],[3,5,6,8,10,12,13],[3,5,7,9,11,12,14],[4,6,7,8,9,10,11]]; G[8122]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8123: autom. group order 2, simple, residual B[8123]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,7,9,10,13,14],[1,3,6,7,10,11,14],[1,3,8,9,12,13,14],[1,4,5,6,11,12,13],[1,4,7,8,9,11,12],[1,4,7,8,10,12,14],[1,5,6,8,9,11,14],[1,5,6,9,10,12,13],[2,3,6,8,11,12,14],[2,3,7,9,11,12,13],[2,4,5,9,10,11,14],[2,4,6,7,8,9,13],[2,4,6,9,10,12,14],[2,5,6,7,8,12,14],[2,5,8,10,11,12,13],[3,4,5,7,12,13,14],[3,4,5,8,10,13,14],[3,4,6,9,11,13,14],[3,5,6,7,9,10,12],[3,5,7,8,9,10,11],[4,6,7,8,10,11,13]]; G[8123]:=Group([(1,13)(2,14)(6,12)(9,10)]); # Design 8124: autom. group order 2, simple, residual B[8124]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,9,12,13,14],[1,3,6,7,8,12,13],[1,3,9,10,11,12,13],[1,4,5,6,11,12,14],[1,4,7,8,10,12,14],[1,4,8,9,11,13,14],[1,5,6,7,9,10,14],[1,5,6,8,9,10,11],[2,3,6,8,10,11,14],[2,3,7,8,9,11,14],[2,4,5,8,10,12,13],[2,4,6,7,9,10,13],[2,4,6,8,9,12,14],[2,5,6,9,11,12,13],[2,5,7,10,11,12,14],[3,4,5,7,11,13,14],[3,4,5,9,10,13,14],[3,4,6,7,9,11,12],[3,5,6,8,12,13,14],[3,5,7,8,9,10,12],[4,6,7,8,10,11,13]]; G[8124]:=Group([(1,13)(2,14)(4,5)(6,10)(7,9)(8,11)]); # Design 8125: autom. group order 2, simple, residual B[8125]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,10,11,13],[1,2,7,8,9,11,14],[1,3,6,8,9,12,14],[1,3,7,8,9,11,13],[1,4,5,6,8,13,14],[1,4,7,11,12,13,14],[1,4,9,10,12,13,14],[1,5,6,7,9,10,12],[1,5,6,8,10,11,12],[2,3,6,9,11,12,13],[2,3,7,8,10,12,14],[2,4,5,7,9,12,14],[2,4,6,7,8,12,13],[2,4,6,8,10,11,14],[2,5,6,9,11,13,14],[2,5,8,9,10,12,13],[3,4,5,8,11,12,13],[3,4,5,9,10,11,14],[3,4,6,7,9,10,13],[3,5,6,7,11,12,14],[3,5,7,8,10,13,14],[4,6,7,8,9,10,11]]; G[8125]:=Group([(2,14)(3,13)(5,12)(6,10)(7,9)(8,11)]); # Design 8126: autom. group order 2, simple, residual B[8126]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,10,11,13],[1,2,7,8,9,11,14],[1,3,6,8,9,12,14],[1,3,7,8,9,11,13],[1,4,5,6,8,13,14],[1,4,7,11,12,13,14],[1,4,9,10,12,13,14],[1,5,6,7,9,10,12],[1,5,6,8,10,11,12],[2,3,6,9,11,12,13],[2,3,7,8,10,12,14],[2,4,5,8,11,12,14],[2,4,6,7,8,12,13],[2,4,6,7,9,10,14],[2,5,6,9,11,13,14],[2,5,8,9,10,12,13],[3,4,5,7,9,12,13],[3,4,5,9,10,11,14],[3,4,6,8,10,11,13],[3,5,6,7,11,12,14],[3,5,7,8,10,13,14],[4,6,7,8,9,10,11]]; G[8126]:=Group([(2,14)(3,13)(5,12)(6,10)(7,9)(8,11)]); # Design 8127: autom. group order 2, simple, residual B[8127]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,7,8,9,11,14],[1,3,6,7,9,12,14],[1,3,7,8,9,11,13],[1,4,5,6,9,13,14],[1,4,7,11,12,13,14],[1,4,8,10,12,13,14],[1,5,6,7,8,10,12],[1,5,6,9,10,11,12],[2,3,6,8,11,12,14],[2,3,7,9,10,12,13],[2,4,5,7,8,12,14],[2,4,6,8,9,12,13],[2,4,6,9,10,11,14],[2,5,6,7,11,12,13],[2,5,7,9,10,13,14],[3,4,5,7,10,11,14],[3,4,5,9,11,12,13],[3,4,6,7,8,10,13],[3,5,6,8,11,13,14],[3,5,8,9,10,12,14],[4,6,7,8,9,10,11]]; G[8127]:=Group([(2,14)(3,13)(5,12)(6,10)(7,8)(9,11)]); # Design 8128: autom. group order 2, simple, residual B[8128]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,7,8,9,11,14],[1,3,6,7,9,12,14],[1,3,7,8,9,11,13],[1,4,5,6,9,13,14],[1,4,7,11,12,13,14],[1,4,8,10,12,13,14],[1,5,6,7,8,10,12],[1,5,6,9,10,11,12],[2,3,6,8,11,12,14],[2,3,7,9,10,12,13],[2,4,5,9,11,12,14],[2,4,6,7,8,10,14],[2,4,6,8,9,12,13],[2,5,6,7,11,12,13],[2,5,7,9,10,13,14],[3,4,5,7,8,12,13],[3,4,5,7,10,11,14],[3,4,6,9,10,11,13],[3,5,6,8,11,13,14],[3,5,8,9,10,12,14],[4,6,7,8,9,10,11]]; G[8128]:=Group([(2,14)(3,13)(5,12)(6,10)(7,8)(9,11)]); # Design 8129: autom. group order 2, simple, residual B[8129]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,12,14],[1,2,7,9,10,13,14],[1,3,6,7,9,12,14],[1,3,7,8,11,13,14],[1,4,5,9,11,12,13],[1,4,6,7,8,10,13],[1,4,6,9,10,12,14],[1,5,6,8,11,12,13],[1,5,8,9,10,11,14],[2,3,6,8,9,11,14],[2,3,8,9,10,12,13],[2,4,5,7,10,11,14],[2,4,6,8,11,12,14],[2,4,7,8,9,12,13],[2,5,6,7,9,11,13],[2,5,6,10,12,13,14],[3,4,5,6,9,13,14],[3,4,5,8,10,13,14],[3,4,7,11,12,13,14],[3,5,6,7,8,10,12],[3,5,7,9,10,11,12],[4,6,7,8,9,10,11]]; G[8129]:=Group([(1,13)(2,14)(6,8)(7,10)]); # Design 8130: autom. group order 2, simple B[8130]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,13],[1,2,7,8,9,11,14],[1,3,6,7,9,12,13],[1,3,7,8,9,12,14],[1,4,5,9,11,13,14],[1,4,6,8,10,13,14],[1,4,6,8,11,12,13],[1,5,6,9,10,11,12],[1,5,7,10,11,12,14],[2,3,6,8,11,12,14],[2,3,9,10,11,13,14],[2,4,5,9,12,13,14],[2,4,6,7,9,10,11],[2,4,7,8,11,12,13],[2,5,6,7,12,13,14],[2,5,6,8,9,10,12],[3,4,5,6,7,11,14],[3,4,5,8,10,12,14],[3,4,7,9,10,12,13],[3,5,6,8,9,11,13],[3,5,7,8,10,11,13],[4,6,7,8,9,10,14]]; G[8130]:=Group([(2,11)(3,12)(4,10)(7,9)(8,14)]); # Design 8131: autom. group order 2, simple, residual B[8131]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,13],[1,2,7,9,11,13,14],[1,3,6,9,10,12,13],[1,3,7,8,9,12,14],[1,4,5,7,11,12,13],[1,4,6,7,8,12,14],[1,4,6,8,9,10,11],[1,5,6,9,11,12,14],[1,5,8,10,11,13,14],[2,3,6,7,8,11,14],[2,3,8,9,11,12,13],[2,4,5,9,10,12,14],[2,4,6,8,11,12,13],[2,4,7,9,10,11,14],[2,5,6,7,9,12,13],[2,5,6,8,10,12,14],[3,4,5,6,11,13,14],[3,4,5,8,9,13,14],[3,4,7,10,12,13,14],[3,5,6,7,9,10,11],[3,5,7,8,10,11,12],[4,6,7,8,9,10,13]]; G[8131]:=Group([(1,13)(2,14)(7,11)]); # Design 8132: autom. group order 2, simple, residual B[8132]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,12,14],[1,2,7,9,10,13,14],[1,3,6,9,10,12,14],[1,3,7,8,11,13,14],[1,4,5,9,11,12,13],[1,4,6,7,8,10,13],[1,4,6,7,9,12,14],[1,5,6,8,11,12,13],[1,5,8,9,10,11,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,7,10,11,14],[2,4,6,8,11,12,14],[2,4,8,9,10,12,13],[2,5,6,7,9,11,13],[2,5,6,10,12,13,14],[3,4,5,6,9,13,14],[3,4,5,8,10,13,14],[3,4,7,11,12,13,14],[3,5,6,7,8,10,12],[3,5,7,9,10,11,12],[4,6,7,8,9,10,11]]; G[8132]:=Group([(1,13)(2,14)(6,8)(7,10)]); # Design 8133: autom. group order 2, simple B[8133]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,13],[1,2,7,8,9,11,14],[1,3,6,8,12,13,14],[1,3,7,8,9,12,14],[1,4,5,9,11,13,14],[1,4,6,7,9,10,13],[1,4,6,8,11,12,13],[1,5,6,9,10,11,12],[1,5,7,10,11,12,14],[2,3,6,7,9,11,12],[2,3,9,10,11,13,14],[2,4,5,9,12,13,14],[2,4,6,8,10,11,14],[2,4,7,8,11,12,13],[2,5,6,7,12,13,14],[2,5,6,8,9,10,12],[3,4,5,6,7,11,14],[3,4,5,8,10,12,14],[3,4,7,9,10,12,13],[3,5,6,8,9,11,13],[3,5,7,8,10,11,13],[4,6,7,8,9,10,14]]; G[8133]:=Group([(2,11)(3,12)(4,10)(7,9)(8,14)]); # Design 8134: autom. group order 2, simple, residual B[8134]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,12,13],[1,2,7,8,9,10,14],[1,3,6,8,11,13,14],[1,3,7,8,9,11,14],[1,4,5,9,10,13,14],[1,4,6,7,9,12,13],[1,4,6,8,12,13,14],[1,5,6,9,10,11,12],[1,5,7,10,11,12,14],[2,3,6,7,9,12,14],[2,3,9,10,12,13,14],[2,4,5,9,11,13,14],[2,4,6,8,10,12,14],[2,4,7,8,10,11,13],[2,5,6,7,11,13,14],[2,5,6,8,9,11,12],[3,4,5,6,7,10,14],[3,4,5,8,11,12,14],[3,4,7,9,11,12,13],[3,5,6,8,9,10,13],[3,5,7,8,10,12,13],[4,6,7,8,9,10,11]]; G[8134]:=Group([(2,10)(3,11)(4,12)(7,9)(8,14)]); # Design 8135: autom. group order 2, simple, residual B[8135]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,13],[1,2,7,9,11,13,14],[1,3,6,9,10,12,13],[1,3,8,9,11,12,14],[1,4,5,7,11,12,13],[1,4,6,7,8,12,14],[1,4,6,8,9,10,11],[1,5,6,7,9,12,14],[1,5,8,10,11,13,14],[2,3,6,7,8,11,14],[2,3,7,8,9,12,13],[2,4,5,9,10,12,14],[2,4,6,8,11,12,13],[2,4,7,9,10,11,14],[2,5,6,8,10,12,14],[2,5,6,9,11,12,13],[3,4,5,6,11,13,14],[3,4,5,8,9,13,14],[3,4,7,10,12,13,14],[3,5,6,7,9,10,11],[3,5,7,8,10,11,12],[4,6,7,8,9,10,13]]; G[8135]:=Group([(1,13)(2,14)(7,11)]); # Design 8136: autom. group order 2, simple, residual B[8136]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,8,12,14],[1,2,7,9,10,13,14],[1,3,6,8,9,11,14],[1,3,8,9,10,12,13],[1,4,5,7,10,11,14],[1,4,6,7,9,12,13],[1,4,6,8,11,12,14],[1,5,6,10,12,13,14],[1,5,7,8,9,11,13],[2,3,6,7,9,12,14],[2,3,7,8,11,13,14],[2,4,5,9,11,12,13],[2,4,6,7,8,10,13],[2,4,8,9,10,12,14],[2,5,6,8,11,12,13],[2,5,6,9,10,11,14],[3,4,5,6,9,13,14],[3,4,5,8,10,13,14],[3,4,7,11,12,13,14],[3,5,6,7,8,10,12],[3,5,7,9,10,11,12],[4,6,7,8,9,10,11]]; G[8136]:=Group([(1,14)(2,13)(6,8)(7,10)]); # Design 8137: autom. group order 2, simple B[8137]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,12,13,14],[1,2,8,9,10,13,14],[1,3,6,7,8,12,14],[1,3,7,8,11,13,14],[1,4,5,9,11,13,14],[1,4,6,7,9,12,13],[1,4,6,8,9,10,14],[1,5,6,9,10,11,12],[1,5,7,8,10,11,12],[2,3,6,8,9,12,13],[2,3,7,9,10,11,14],[2,4,5,7,8,10,13],[2,4,6,11,12,13,14],[2,4,7,8,9,11,12],[2,5,6,7,9,11,14],[2,5,6,8,10,12,14],[3,4,5,6,8,11,14],[3,4,5,10,12,13,14],[3,4,7,9,10,12,14],[3,5,6,7,9,10,13],[3,5,8,9,11,12,13],[4,6,7,8,10,11,13]]; G[8137]:=Group([(2,11)(3,10)(4,12)(7,9)]); # Design 8138: autom. group order 2, simple B[8138]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,13,14],[1,2,7,8,9,11,13],[1,3,6,7,9,10,14],[1,3,7,8,9,12,13],[1,4,5,7,9,11,14],[1,4,6,8,12,13,14],[1,4,6,9,11,12,14],[1,5,6,8,10,11,12],[1,5,7,10,11,12,13],[2,3,6,7,8,11,12],[2,3,9,11,12,13,14],[2,4,5,7,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,11,14],[2,5,6,7,9,10,12],[2,5,6,8,9,12,14],[3,4,5,6,8,11,13],[3,4,5,9,10,12,13],[3,4,7,8,10,12,14],[3,5,6,7,11,13,14],[3,5,8,9,10,11,14],[4,6,7,8,9,10,13]]; G[8138]:=Group([(2,11)(3,12)(4,10)(7,8)(9,13)]); # Design 8139: autom. group order 2, simple B[8139]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,7,8,9,10,14],[1,3,6,7,9,12,13],[1,3,7,8,9,11,14],[1,4,5,7,9,10,13],[1,4,6,8,11,13,14],[1,4,6,9,12,13,14],[1,5,6,8,10,11,12],[1,5,7,10,11,12,14],[2,3,6,7,8,12,14],[2,3,9,10,11,13,14],[2,4,5,7,11,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,12,13],[2,5,6,7,9,11,12],[2,5,6,8,9,11,13],[3,4,5,6,8,10,14],[3,4,5,9,11,12,14],[3,4,7,8,11,12,13],[3,5,6,7,10,13,14],[3,5,8,9,10,12,13],[4,6,7,8,9,10,11]]; G[8139]:=Group([(2,10)(3,11)(4,12)(7,8)(9,14)]); # Design 8140: autom. group order 2, simple, residual B[8140]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,7,8,9,10,14],[1,3,6,7,8,12,13],[1,3,7,8,9,11,14],[1,4,5,7,9,12,13],[1,4,6,8,12,13,14],[1,4,6,9,11,13,14],[1,5,6,9,10,11,12],[1,5,7,10,11,12,14],[2,3,6,7,9,12,14],[2,3,9,11,12,13,14],[2,4,5,7,11,13,14],[2,4,6,8,10,12,14],[2,4,7,9,10,12,13],[2,5,6,7,8,11,12],[2,5,6,8,9,11,13],[3,4,5,6,9,10,14],[3,4,5,8,11,12,14],[3,4,7,8,10,11,13],[3,5,6,7,10,13,14],[3,5,8,9,10,12,13],[4,6,7,8,9,10,11]]; G[8140]:=Group([(2,10)(3,11)(4,12)(7,9)(8,14)]); # Design 8141: autom. group order 2, simple, residual B[8141]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,8,9,11,13],[1,3,6,7,8,10,14],[1,3,7,8,9,12,13],[1,4,5,7,9,10,14],[1,4,6,8,11,12,14],[1,4,6,9,12,13,14],[1,5,6,9,10,11,12],[1,5,7,10,11,12,13],[2,3,6,7,9,11,12],[2,3,9,10,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,10,11,13],[2,4,7,9,10,11,14],[2,5,6,7,8,10,12],[2,5,6,8,9,12,14],[3,4,5,6,9,11,13],[3,4,5,8,10,12,13],[3,4,7,8,11,12,14],[3,5,6,7,11,13,14],[3,5,8,9,10,11,14],[4,6,7,8,9,10,13]]; G[8141]:=Group([(2,11)(3,12)(4,10)(7,9)(8,13)]); # Design 8142: autom. group order 2, simple, residual B[8142]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,13,14],[1,2,7,8,9,11,13],[1,3,6,7,9,10,14],[1,3,7,8,9,12,13],[1,4,5,7,9,11,14],[1,4,6,8,12,13,14],[1,4,6,9,11,12,14],[1,5,6,8,10,11,12],[1,5,7,10,11,12,13],[2,3,6,9,11,12,13],[2,3,7,8,11,12,14],[2,4,5,7,12,13,14],[2,4,6,7,8,10,11],[2,4,8,9,10,12,14],[2,5,6,7,9,10,12],[2,5,6,9,11,13,14],[3,4,5,6,8,11,13],[3,4,5,9,10,12,13],[3,4,7,10,11,13,14],[3,5,6,7,8,12,14],[3,5,8,9,10,11,14],[4,6,7,8,9,10,13]]; G[8142]:=Group([(2,11)(3,12)(4,10)(7,8)(9,13)]); # Design 8143: autom. group order 2, simple, residual B[8143]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,9,11,12,13],[1,3,6,7,8,11,14],[1,3,7,8,12,13,14],[1,4,5,8,10,12,13],[1,4,6,7,9,10,14],[1,4,6,9,11,12,13],[1,5,6,8,9,10,11],[1,5,7,9,10,12,14],[2,3,6,8,9,10,12],[2,3,7,9,10,11,13],[2,4,5,7,10,11,14],[2,4,6,8,11,12,14],[2,4,7,8,9,12,14],[2,5,6,7,8,9,13],[2,5,6,10,12,13,14],[3,4,5,6,7,12,13],[3,4,5,9,11,13,14],[3,4,8,9,10,13,14],[3,5,6,9,11,12,14],[3,5,7,8,10,11,12],[4,6,7,8,10,11,13]]; G[8143]:=Group([(1,7)(3,9)(4,13)(5,11)(6,12)(8,10)]); # Design 8144: autom. group order 2, simple, residual B[8144]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,9,11,12,13],[1,3,6,7,9,12,14],[1,3,7,8,10,11,13],[1,4,5,8,9,12,14],[1,4,6,7,8,13,14],[1,4,6,9,10,12,13],[1,5,6,8,10,11,12],[1,5,7,9,10,11,14],[2,3,6,8,9,11,12],[2,3,7,8,9,10,14],[2,4,5,7,10,12,13],[2,4,6,9,11,13,14],[2,4,7,8,10,12,14],[2,5,6,7,11,12,14],[2,5,6,8,9,10,13],[3,4,5,6,10,11,14],[3,4,5,7,9,11,13],[3,4,8,11,12,13,14],[3,5,6,7,8,12,13],[3,5,9,10,12,13,14],[4,6,7,8,9,10,11]]; G[8144]:=Group([(1,10)(2,4)(3,12)(5,7)(6,13)(9,14)]); # Design 8145: autom. group order 2, simple, residual B[8145]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,8,9,12,13],[1,3,6,7,9,12,14],[1,3,7,8,10,11,13],[1,4,5,9,11,12,14],[1,4,6,7,11,13,14],[1,4,6,9,10,12,13],[1,5,6,8,10,11,12],[1,5,7,8,9,10,14],[2,3,6,8,9,11,12],[2,3,7,9,10,11,14],[2,4,5,7,10,12,13],[2,4,6,8,9,13,14],[2,4,7,8,10,12,14],[2,5,6,7,11,12,14],[2,5,6,9,10,11,13],[3,4,5,6,8,10,14],[3,4,5,7,9,11,13],[3,4,8,11,12,13,14],[3,5,6,7,8,12,13],[3,5,9,10,12,13,14],[4,6,7,8,9,10,11]]; G[8145]:=Group([(1,10)(2,4)(3,12)(5,7)(6,13)(9,14)]); # Design 8146: autom. group order 2, simple, residual B[8146]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,8,9,10,13],[1,3,6,7,8,10,11],[1,3,7,9,11,12,14],[1,4,5,9,10,11,14],[1,4,6,8,9,12,14],[1,4,6,8,12,13,14],[1,5,6,7,11,12,13],[1,5,7,9,10,13,14],[2,3,6,7,9,12,14],[2,3,8,9,11,13,14],[2,4,5,7,10,12,14],[2,4,6,10,11,13,14],[2,4,7,9,11,12,13],[2,5,6,7,8,11,14],[2,5,6,8,9,10,12],[3,4,5,6,9,11,13],[3,4,5,7,8,13,14],[3,4,7,8,10,12,13],[3,5,6,9,10,12,13],[3,5,8,10,11,12,14],[4,6,7,8,9,10,11]]; G[8146]:=Group([(1,6)(2,11)(3,7)(4,8)(5,10)(12,14)]); # Design 8147: autom. group order 2, simple, residual B[8147]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,8,9,11,13],[1,3,6,7,9,11,12],[1,3,7,8,10,12,14],[1,4,5,9,10,12,13],[1,4,6,8,9,12,14],[1,4,6,8,10,11,13],[1,5,6,7,12,13,14],[1,5,7,9,10,11,14],[2,3,6,9,10,13,14],[2,3,7,8,9,12,13],[2,4,5,7,9,10,14],[2,4,6,9,11,12,14],[2,4,7,11,12,13,14],[2,5,6,7,8,10,12],[2,5,6,8,10,11,12],[3,4,5,6,7,11,13],[3,4,5,8,12,13,14],[3,4,7,8,10,11,14],[3,5,6,8,9,11,14],[3,5,9,10,11,12,13],[4,6,7,8,9,10,13]]; G[8147]:=Group([(1,11)(3,12)(5,14)(7,9)(8,13)]); # Design 8148: autom. group order 2, simple, residual B[8148]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,8,9,11,13],[1,3,6,7,8,12,14],[1,3,7,9,10,11,12],[1,4,5,9,10,12,13],[1,4,6,8,9,12,14],[1,4,6,8,10,11,13],[1,5,6,7,9,11,14],[1,5,7,10,12,13,14],[2,3,6,9,10,13,14],[2,3,7,8,9,12,13],[2,4,5,7,9,10,14],[2,4,6,9,11,12,14],[2,4,7,11,12,13,14],[2,5,6,7,8,10,12],[2,5,6,8,10,11,12],[3,4,5,6,7,11,13],[3,4,5,8,12,13,14],[3,4,7,8,10,11,14],[3,5,6,9,11,12,13],[3,5,8,9,10,11,14],[4,6,7,8,9,10,13]]; G[8148]:=Group([(1,11)(3,12)(5,14)(7,9)(8,13)]); # Design 8149: autom. group order 2, simple, residual B[8149]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,8,9,11,13],[1,3,6,7,9,11,12],[1,3,9,10,12,13,14],[1,4,5,7,10,12,13],[1,4,6,7,8,12,14],[1,4,6,8,10,11,13],[1,5,6,8,9,12,14],[1,5,7,9,10,11,14],[2,3,6,7,8,10,14],[2,3,7,8,9,12,13],[2,4,5,7,9,10,14],[2,4,6,9,11,12,14],[2,4,7,11,12,13,14],[2,5,6,8,10,11,12],[2,5,6,9,10,12,13],[3,4,5,6,9,11,13],[3,4,5,8,12,13,14],[3,4,8,9,10,11,14],[3,5,6,7,11,13,14],[3,5,7,8,10,11,12],[4,6,7,8,9,10,13]]; G[8149]:=Group([(1,11)(3,12)(5,14)(7,9)(8,13)]); # Design 8150: autom. group order 2, simple, residual B[8150]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,8,9,11,13],[1,3,6,9,12,13,14],[1,3,7,9,10,11,12],[1,4,5,7,10,12,13],[1,4,6,7,8,12,14],[1,4,6,8,10,11,13],[1,5,6,7,9,11,14],[1,5,8,9,10,12,14],[2,3,6,7,8,10,14],[2,3,7,8,9,12,13],[2,4,5,7,9,10,14],[2,4,6,9,11,12,14],[2,4,7,11,12,13,14],[2,5,6,8,10,11,12],[2,5,6,9,10,12,13],[3,4,5,6,9,11,13],[3,4,5,8,12,13,14],[3,4,8,9,10,11,14],[3,5,6,7,8,11,12],[3,5,7,10,11,13,14],[4,6,7,8,9,10,13]]; G[8150]:=Group([(1,11)(3,12)(5,14)(7,9)(8,13)]); # Design 8151: autom. group order 2, simple, residual B[8151]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,12,13,14],[1,2,7,8,9,10,14],[1,3,6,9,11,13,14],[1,3,7,8,9,11,14],[1,4,5,7,9,10,13],[1,4,6,7,8,12,13],[1,4,6,9,12,13,14],[1,5,6,8,10,11,12],[1,5,7,10,11,12,14],[2,3,6,7,8,12,14],[2,3,7,9,10,12,13],[2,4,5,7,11,13,14],[2,4,6,9,10,12,14],[2,4,8,10,11,13,14],[2,5,6,7,9,11,12],[2,5,6,8,9,11,13],[3,4,5,6,8,10,14],[3,4,5,9,11,12,14],[3,4,7,8,11,12,13],[3,5,6,7,10,13,14],[3,5,8,9,10,12,13],[4,6,7,8,9,10,11]]; G[8151]:=Group([(2,10)(3,11)(4,12)(7,8)(9,14)]); # Design 8152: autom. group order 2, simple, residual B[8152]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,10,13,14],[1,2,7,8,9,10,14],[1,3,6,9,12,13,14],[1,3,7,8,9,11,14],[1,4,5,7,9,12,13],[1,4,6,7,8,11,13],[1,4,6,8,12,13,14],[1,5,6,9,10,11,12],[1,5,7,10,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,11,12,13],[2,4,5,9,11,13,14],[2,4,6,8,10,12,14],[2,4,7,9,10,12,13],[2,5,6,7,11,13,14],[2,5,6,8,9,11,12],[3,4,5,6,7,10,14],[3,4,5,8,11,12,14],[3,4,9,10,11,13,14],[3,5,6,8,9,10,13],[3,5,7,8,10,12,13],[4,6,7,8,9,10,11]]; G[8152]:=Group([(2,10)(3,11)(4,12)(7,9)(8,14)]); # Design 8153: autom. group order 2, simple, residual B[8153]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,7,9,11,13,14],[1,3,6,9,10,12,13],[1,3,7,8,9,12,14],[1,4,5,7,11,12,13],[1,4,6,7,8,9,10],[1,4,6,8,11,12,14],[1,5,6,9,11,12,14],[1,5,7,8,10,13,14],[2,3,6,7,8,11,14],[2,3,8,9,11,12,13],[2,4,5,9,10,12,14],[2,4,6,7,8,12,13],[2,4,7,9,10,11,14],[2,5,6,7,9,12,13],[2,5,6,8,10,12,14],[3,4,5,6,11,13,14],[3,4,5,8,9,13,14],[3,4,7,10,12,13,14],[3,5,6,7,9,10,11],[3,5,7,8,10,11,12],[4,6,8,9,10,11,13]]; G[8153]:=Group([(1,13)(2,14)(7,11)]); # Design 8154: autom. group order 2, simple, residual B[8154]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,9,11,13,14],[1,3,6,9,11,12,14],[1,3,7,8,9,12,13],[1,4,5,10,12,13,14],[1,4,6,7,8,11,14],[1,4,6,8,9,10,12],[1,5,6,7,9,10,13],[1,5,7,8,10,11,14],[2,3,6,8,10,13,14],[2,3,7,8,9,10,11],[2,4,5,9,10,11,14],[2,4,6,7,8,12,14],[2,4,7,9,12,13,14],[2,5,6,7,9,10,12],[2,5,6,8,11,12,13],[3,4,5,6,7,11,13],[3,4,5,8,9,13,14],[3,4,7,10,11,12,13],[3,5,6,9,11,12,14],[3,5,7,8,10,12,14],[4,6,8,9,10,11,13]]; G[8154]:=Group([(2,11)(3,14)(4,7)(5,8)(9,10)(12,13)]); # Design 8155: autom. group order 2, simple, residual B[8155]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,9,11,13,14],[1,3,6,9,11,12,14],[1,3,7,8,10,12,13],[1,4,5,9,12,13,14],[1,4,6,7,8,11,14],[1,4,6,8,9,10,12],[1,5,6,7,9,10,13],[1,5,7,8,10,11,14],[2,3,6,8,9,13,14],[2,3,7,8,9,10,11],[2,4,5,9,10,11,14],[2,4,6,7,8,12,14],[2,4,7,10,12,13,14],[2,5,6,7,9,10,12],[2,5,6,8,11,12,13],[3,4,5,6,7,11,13],[3,4,5,8,10,13,14],[3,4,7,9,11,12,13],[3,5,6,10,11,12,14],[3,5,7,8,9,12,14],[4,6,8,9,10,11,13]]; G[8155]:=Group([(2,11)(3,14)(4,7)(5,8)(9,10)(12,13)]); # Design 8156: autom. group order 2, simple, residual B[8156]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,7,9,11,13,14],[1,3,6,9,10,12,13],[1,3,8,9,11,12,14],[1,4,5,7,11,12,13],[1,4,6,7,8,9,10],[1,4,6,8,11,12,14],[1,5,6,7,9,12,14],[1,5,7,8,10,13,14],[2,3,6,7,8,11,14],[2,3,7,8,9,12,13],[2,4,5,9,10,12,14],[2,4,6,7,8,12,13],[2,4,7,9,10,11,14],[2,5,6,8,10,12,14],[2,5,6,9,11,12,13],[3,4,5,6,11,13,14],[3,4,5,8,9,13,14],[3,4,7,10,12,13,14],[3,5,6,7,9,10,11],[3,5,7,8,10,11,12],[4,6,8,9,10,11,13]]; G[8156]:=Group([(1,13)(2,14)(7,11)]); # Design 8157: autom. group order 2, simple, residual B[8157]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,13,14],[1,2,7,11,12,13,14],[1,3,6,8,10,11,13],[1,3,7,8,9,12,13],[1,4,5,9,10,11,13],[1,4,6,7,9,11,14],[1,4,7,9,10,12,14],[1,5,6,7,8,10,12],[1,5,6,8,11,12,14],[2,3,6,9,10,12,14],[2,3,7,8,9,11,14],[2,4,5,8,10,12,14],[2,4,6,7,8,12,13],[2,4,7,8,10,11,13],[2,5,6,7,9,10,11],[2,5,6,9,11,12,13],[3,4,5,6,7,13,14],[3,4,5,11,12,13,14],[3,4,6,8,9,11,12],[3,5,7,8,10,11,14],[3,5,7,9,10,12,13],[4,6,8,9,10,13,14]]; G[8157]:=Group([(1,2)(8,9)(11,12)(13,14)]); # Design 8158: autom. group order 2, simple, residual B[8158]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,13,14],[1,2,7,11,12,13,14],[1,3,6,8,10,11,13],[1,3,7,8,9,12,13],[1,4,5,9,10,12,14],[1,4,6,7,9,11,14],[1,4,7,9,10,11,13],[1,5,6,7,8,10,12],[1,5,6,8,11,12,14],[2,3,6,9,10,12,14],[2,3,7,8,9,11,14],[2,4,5,8,10,11,13],[2,4,6,7,8,12,13],[2,4,7,8,10,12,14],[2,5,6,7,9,10,11],[2,5,6,9,11,12,13],[3,4,5,6,7,13,14],[3,4,5,11,12,13,14],[3,4,6,8,9,11,12],[3,5,7,8,10,11,14],[3,5,7,9,10,12,13],[4,6,8,9,10,13,14]]; G[8158]:=Group([(1,2)(8,9)(11,12)(13,14)]); # Design 8159: autom. group order 2, simple, residual B[8159]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,13,14],[1,2,7,11,12,13,14],[1,3,6,8,10,11,13],[1,3,7,8,9,11,13],[1,4,5,9,10,12,13],[1,4,6,7,9,11,14],[1,4,7,8,10,12,14],[1,5,6,7,9,10,12],[1,5,6,8,11,12,14],[2,3,6,9,10,12,14],[2,3,7,8,9,12,14],[2,4,5,8,10,11,14],[2,4,6,7,8,12,13],[2,4,7,9,10,11,13],[2,5,6,7,8,10,11],[2,5,6,9,11,12,13],[3,4,5,6,7,13,14],[3,4,5,11,12,13,14],[3,4,6,8,9,11,12],[3,5,7,8,10,12,13],[3,5,7,9,10,11,14],[4,6,8,9,10,13,14]]; G[8159]:=Group([(1,2)(8,9)(11,12)(13,14)]); # Design 8160: autom. group order 2, simple, residual B[8160]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,13,14],[1,2,7,11,12,13,14],[1,3,6,8,10,11,13],[1,3,7,8,9,12,14],[1,4,5,9,10,11,13],[1,4,6,7,9,11,14],[1,4,7,8,10,12,13],[1,5,6,7,9,10,12],[1,5,6,8,11,12,14],[2,3,6,9,10,12,14],[2,3,7,8,9,11,13],[2,4,5,8,10,12,14],[2,4,6,7,8,12,13],[2,4,7,9,10,11,14],[2,5,6,7,8,10,11],[2,5,6,9,11,12,13],[3,4,5,6,7,13,14],[3,4,5,11,12,13,14],[3,4,6,8,9,11,12],[3,5,7,8,10,11,14],[3,5,7,9,10,12,13],[4,6,8,9,10,13,14]]; G[8160]:=Group([(1,2)(8,9)(11,12)(13,14)]); # Design 8161: autom. group order 2, simple, residual B[8161]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,13,14],[1,2,7,11,12,13,14],[1,3,6,8,10,11,13],[1,3,7,8,9,12,13],[1,4,5,9,10,12,13],[1,4,6,7,9,11,14],[1,4,7,8,10,12,14],[1,5,6,7,9,10,11],[1,5,6,8,11,12,14],[2,3,6,9,10,12,14],[2,3,7,8,9,11,14],[2,4,5,8,10,11,14],[2,4,6,7,8,12,13],[2,4,7,9,10,11,13],[2,5,6,7,8,10,12],[2,5,6,9,11,12,13],[3,4,5,6,7,13,14],[3,4,5,11,12,13,14],[3,4,6,8,9,11,12],[3,5,7,8,10,11,13],[3,5,7,9,10,12,14],[4,6,8,9,10,13,14]]; G[8161]:=Group([(1,2)(8,9)(11,12)(13,14)]); # Design 8162: autom. group order 2, simple, residual B[8162]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,13,14],[1,2,7,11,12,13,14],[1,3,6,8,10,11,13],[1,3,7,8,9,11,14],[1,4,5,9,10,11,14],[1,4,6,7,9,12,13],[1,4,7,8,10,12,14],[1,5,6,7,8,10,12],[1,5,6,9,11,12,13],[2,3,6,9,10,12,14],[2,3,7,8,9,12,13],[2,4,5,8,10,12,13],[2,4,6,7,8,11,14],[2,4,7,9,10,11,13],[2,5,6,7,9,10,11],[2,5,6,8,11,12,14],[3,4,5,6,7,13,14],[3,4,5,11,12,13,14],[3,4,6,8,9,11,12],[3,5,7,8,10,11,13],[3,5,7,9,10,12,14],[4,6,8,9,10,13,14]]; G[8162]:=Group([(1,2)(8,9)(11,12)(13,14)]); # Design 8163: autom. group order 2, simple, residual B[8163]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,13,14],[1,2,7,11,12,13,14],[1,3,6,8,10,11,13],[1,3,7,8,9,11,13],[1,4,5,9,10,12,13],[1,4,6,7,9,11,14],[1,4,7,8,10,12,14],[1,5,6,7,8,10,12],[1,5,6,9,11,12,14],[2,3,6,9,10,12,14],[2,3,7,8,9,12,14],[2,4,5,8,10,11,14],[2,4,6,7,8,12,13],[2,4,7,9,10,11,13],[2,5,6,7,9,10,11],[2,5,6,8,11,12,13],[3,4,5,6,7,13,14],[3,4,5,11,12,13,14],[3,4,6,8,9,11,12],[3,5,7,8,10,11,14],[3,5,7,9,10,12,13],[4,6,8,9,10,13,14]]; G[8163]:=Group([(1,2)(8,9)(11,12)(13,14)]); # Design 8164: autom. group order 2, simple, residual B[8164]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,13,14],[1,2,7,11,12,13,14],[1,3,6,8,10,11,13],[1,3,7,8,9,12,13],[1,4,5,9,10,12,13],[1,4,6,7,9,11,14],[1,4,7,8,10,12,14],[1,5,6,7,8,10,11],[1,5,6,9,11,12,14],[2,3,6,9,10,12,14],[2,3,7,8,9,11,14],[2,4,5,8,10,11,14],[2,4,6,7,8,12,13],[2,4,7,9,10,11,13],[2,5,6,7,9,10,12],[2,5,6,8,11,12,13],[3,4,5,6,7,13,14],[3,4,5,11,12,13,14],[3,4,6,8,9,11,12],[3,5,7,8,10,12,14],[3,5,7,9,10,11,13],[4,6,8,9,10,13,14]]; G[8164]:=Group([(1,2)(8,9)(11,12)(13,14)]); # Design 8165: autom. group order 2, simple, residual B[8165]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,13,14],[1,2,7,11,12,13,14],[1,3,6,8,10,11,13],[1,3,7,8,9,11,13],[1,4,5,9,10,11,14],[1,4,6,7,8,12,14],[1,4,7,9,10,12,13],[1,5,6,7,9,10,12],[1,5,6,8,11,12,14],[2,3,6,9,10,12,14],[2,3,7,8,9,12,14],[2,4,5,8,10,12,13],[2,4,6,7,9,11,13],[2,4,7,8,10,11,14],[2,5,6,7,8,10,11],[2,5,6,9,11,12,13],[3,4,5,6,7,13,14],[3,4,5,11,12,13,14],[3,4,6,8,9,11,12],[3,5,7,8,10,12,13],[3,5,7,9,10,11,14],[4,6,8,9,10,13,14]]; G[8165]:=Group([(1,2)(8,9)(11,12)(13,14)]); # Design 8166: autom. group order 2, simple, residual B[8166]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,13,14],[1,2,7,11,12,13,14],[1,3,6,8,10,11,13],[1,3,7,8,9,11,14],[1,4,5,9,10,11,14],[1,4,6,7,8,12,14],[1,4,7,9,10,12,13],[1,5,6,7,9,10,12],[1,5,6,8,11,12,13],[2,3,6,9,10,12,14],[2,3,7,8,9,12,13],[2,4,5,8,10,12,13],[2,4,6,7,9,11,13],[2,4,7,8,10,11,14],[2,5,6,7,8,10,11],[2,5,6,9,11,12,14],[3,4,5,6,7,13,14],[3,4,5,11,12,13,14],[3,4,6,8,9,11,12],[3,5,7,8,10,12,14],[3,5,7,9,10,11,13],[4,6,8,9,10,13,14]]; G[8166]:=Group([(1,2)(8,9)(11,12)(13,14)]); # Design 8167: autom. group order 2, simple, residual B[8167]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,13,14],[1,2,7,11,12,13,14],[1,3,6,8,10,11,13],[1,3,7,8,9,11,13],[1,4,5,9,10,12,13],[1,4,6,7,8,12,14],[1,4,7,9,10,11,14],[1,5,6,7,9,10,12],[1,5,6,8,11,12,14],[2,3,6,9,10,12,14],[2,3,7,8,9,12,14],[2,4,5,8,10,11,14],[2,4,6,7,9,11,13],[2,4,7,8,10,12,13],[2,5,6,7,8,10,11],[2,5,6,9,11,12,13],[3,4,5,6,7,13,14],[3,4,5,11,12,13,14],[3,4,6,8,9,11,12],[3,5,7,8,10,12,13],[3,5,7,9,10,11,14],[4,6,8,9,10,13,14]]; G[8167]:=Group([(1,2)(8,9)(11,12)(13,14)]); # Design 8168: autom. group order 2, simple, residual B[8168]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,13,14],[1,2,7,11,12,13,14],[1,3,6,8,10,11,13],[1,3,7,8,9,12,13],[1,4,5,9,10,12,13],[1,4,6,7,8,12,14],[1,4,7,9,10,11,14],[1,5,6,7,9,10,11],[1,5,6,8,11,12,14],[2,3,6,9,10,12,14],[2,3,7,8,9,11,14],[2,4,5,8,10,11,14],[2,4,6,7,9,11,13],[2,4,7,8,10,12,13],[2,5,6,7,8,10,12],[2,5,6,9,11,12,13],[3,4,5,6,7,13,14],[3,4,5,11,12,13,14],[3,4,6,8,9,11,12],[3,5,7,8,10,11,13],[3,5,7,9,10,12,14],[4,6,8,9,10,13,14]]; G[8168]:=Group([(1,2)(8,9)(11,12)(13,14)]); # Design 8169: autom. group order 2, simple, residual B[8169]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,13,14],[1,2,7,11,12,13,14],[1,3,6,8,10,11,13],[1,3,7,8,9,11,14],[1,4,5,9,10,11,14],[1,4,6,7,8,12,14],[1,4,7,9,10,12,13],[1,5,6,7,8,10,12],[1,5,6,9,11,12,13],[2,3,6,9,10,12,14],[2,3,7,8,9,12,13],[2,4,5,8,10,12,13],[2,4,6,7,9,11,13],[2,4,7,8,10,11,14],[2,5,6,7,9,10,11],[2,5,6,8,11,12,14],[3,4,5,6,7,13,14],[3,4,5,11,12,13,14],[3,4,6,8,9,11,12],[3,5,7,8,10,11,13],[3,5,7,9,10,12,14],[4,6,8,9,10,13,14]]; G[8169]:=Group([(1,2)(8,9)(11,12)(13,14)]); # Design 8170: autom. group order 2, simple, residual B[8170]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,13,14],[1,2,7,11,12,13,14],[1,3,6,8,10,11,13],[1,3,7,8,9,11,13],[1,4,5,9,10,12,13],[1,4,6,7,8,12,14],[1,4,7,9,10,11,14],[1,5,6,7,8,10,12],[1,5,6,9,11,12,14],[2,3,6,9,10,12,14],[2,3,7,8,9,12,14],[2,4,5,8,10,11,14],[2,4,6,7,9,11,13],[2,4,7,8,10,12,13],[2,5,6,7,9,10,11],[2,5,6,8,11,12,13],[3,4,5,6,7,13,14],[3,4,5,11,12,13,14],[3,4,6,8,9,11,12],[3,5,7,8,10,11,14],[3,5,7,9,10,12,13],[4,6,8,9,10,13,14]]; G[8170]:=Group([(1,2)(8,9)(11,12)(13,14)]); # Design 8171: autom. group order 2, simple, residual B[8171]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,13,14],[1,2,7,11,12,13,14],[1,3,6,8,10,11,13],[1,3,7,8,9,12,13],[1,4,5,9,10,12,13],[1,4,6,7,8,12,14],[1,4,7,9,10,11,14],[1,5,6,7,8,10,11],[1,5,6,9,11,12,14],[2,3,6,9,10,12,14],[2,3,7,8,9,11,14],[2,4,5,8,10,11,14],[2,4,6,7,9,11,13],[2,4,7,8,10,12,13],[2,5,6,7,9,10,12],[2,5,6,8,11,12,13],[3,4,5,6,7,13,14],[3,4,5,11,12,13,14],[3,4,6,8,9,11,12],[3,5,7,8,10,12,14],[3,5,7,9,10,11,13],[4,6,8,9,10,13,14]]; G[8171]:=Group([(1,2)(8,9)(11,12)(13,14)]); # Design 8172: autom. group order 2, simple, residual B[8172]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,13,14],[1,2,7,11,12,13,14],[1,3,6,8,10,11,13],[1,3,7,8,9,12,14],[1,4,5,8,10,12,13],[1,4,6,7,9,11,14],[1,4,7,9,10,11,13],[1,5,6,7,9,10,12],[1,5,6,8,11,12,14],[2,3,6,9,10,12,14],[2,3,7,8,9,11,13],[2,4,5,9,10,11,14],[2,4,6,7,8,12,13],[2,4,7,8,10,12,14],[2,5,6,7,8,10,11],[2,5,6,9,11,12,13],[3,4,5,6,7,13,14],[3,4,5,11,12,13,14],[3,4,6,8,9,11,12],[3,5,7,8,10,11,14],[3,5,7,9,10,12,13],[4,6,8,9,10,13,14]]; G[8172]:=Group([(1,2)(8,9)(11,12)(13,14)]); # Design 8173: autom. group order 2, simple, residual B[8173]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,13,14],[1,2,7,11,12,13,14],[1,3,6,8,10,11,13],[1,3,7,8,9,12,14],[1,4,5,8,10,12,14],[1,4,6,7,9,11,14],[1,4,7,9,10,12,13],[1,5,6,7,9,10,11],[1,5,6,8,11,12,13],[2,3,6,9,10,12,14],[2,3,7,8,9,11,13],[2,4,5,9,10,11,13],[2,4,6,7,8,12,13],[2,4,7,8,10,11,14],[2,5,6,7,8,10,12],[2,5,6,9,11,12,14],[3,4,5,6,7,13,14],[3,4,5,11,12,13,14],[3,4,6,8,9,11,12],[3,5,7,8,10,11,14],[3,5,7,9,10,12,13],[4,6,8,9,10,13,14]]; G[8173]:=Group([(1,2)(8,9)(11,12)(13,14)]); # Design 8174: autom. group order 2, simple, residual B[8174]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,13,14],[1,2,7,11,12,13,14],[1,3,6,8,10,11,13],[1,3,7,8,9,12,14],[1,4,5,8,10,12,14],[1,4,6,7,9,12,13],[1,4,7,9,10,11,14],[1,5,6,7,9,10,11],[1,5,6,8,11,12,13],[2,3,6,9,10,12,14],[2,3,7,8,9,11,13],[2,4,5,9,10,11,13],[2,4,6,7,8,11,14],[2,4,7,8,10,12,13],[2,5,6,7,8,10,12],[2,5,6,9,11,12,14],[3,4,5,6,7,13,14],[3,4,5,11,12,13,14],[3,4,6,8,9,11,12],[3,5,7,8,10,11,14],[3,5,7,9,10,12,13],[4,6,8,9,10,13,14]]; G[8174]:=Group([(1,2)(8,9)(11,12)(13,14)]); # Design 8175: autom. group order 2, simple, residual B[8175]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,13,14],[1,2,7,11,12,13,14],[1,3,6,8,10,11,13],[1,3,7,8,9,11,13],[1,4,5,8,10,12,14],[1,4,6,7,9,11,14],[1,4,7,9,10,12,13],[1,5,6,7,8,10,12],[1,5,6,9,11,12,14],[2,3,6,9,10,12,14],[2,3,7,8,9,12,14],[2,4,5,9,10,11,13],[2,4,6,7,8,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,10,11],[2,5,6,8,11,12,13],[3,4,5,6,7,13,14],[3,4,5,11,12,13,14],[3,4,6,8,9,11,12],[3,5,7,8,10,11,14],[3,5,7,9,10,12,13],[4,6,8,9,10,13,14]]; G[8175]:=Group([(1,2)(8,9)(11,12)(13,14)]); # Design 8176: autom. group order 2, simple, residual B[8176]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,13,14],[1,2,7,11,12,13,14],[1,3,6,8,10,11,13],[1,3,7,8,9,11,13],[1,4,5,8,10,12,14],[1,4,6,7,9,12,13],[1,4,7,9,10,11,14],[1,5,6,7,8,10,12],[1,5,6,9,11,12,14],[2,3,6,9,10,12,14],[2,3,7,8,9,12,14],[2,4,5,9,10,11,13],[2,4,6,7,8,11,14],[2,4,7,8,10,12,13],[2,5,6,7,9,10,11],[2,5,6,8,11,12,13],[3,4,5,6,7,13,14],[3,4,5,11,12,13,14],[3,4,6,8,9,11,12],[3,5,7,8,10,11,14],[3,5,7,9,10,12,13],[4,6,8,9,10,13,14]]; G[8176]:=Group([(1,2)(8,9)(11,12)(13,14)]); # Design 8177: autom. group order 2, simple, residual B[8177]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,13,14],[1,2,7,11,12,13,14],[1,3,6,8,10,11,13],[1,3,7,8,9,12,13],[1,4,5,8,10,11,14],[1,4,6,7,9,11,14],[1,4,7,9,10,12,14],[1,5,6,7,8,10,12],[1,5,6,9,11,12,13],[2,3,6,9,10,12,14],[2,3,7,8,9,11,14],[2,4,5,9,10,12,13],[2,4,6,7,8,12,13],[2,4,7,8,10,11,13],[2,5,6,7,9,10,11],[2,5,6,8,11,12,14],[3,4,5,6,7,13,14],[3,4,5,11,12,13,14],[3,4,6,8,9,11,12],[3,5,7,8,10,12,14],[3,5,7,9,10,11,13],[4,6,8,9,10,13,14]]; G[8177]:=Group([(1,2)(8,9)(11,12)(13,14)]); # Design 8178: autom. group order 2, simple, residual B[8178]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,13,14],[1,2,7,11,12,13,14],[1,3,6,8,10,11,13],[1,3,7,8,9,12,14],[1,4,5,8,10,12,14],[1,4,6,7,9,11,14],[1,4,7,9,10,12,13],[1,5,6,7,8,10,11],[1,5,6,9,11,12,13],[2,3,6,9,10,12,14],[2,3,7,8,9,11,13],[2,4,5,9,10,11,13],[2,4,6,7,8,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,10,12],[2,5,6,8,11,12,14],[3,4,5,6,7,13,14],[3,4,5,11,12,13,14],[3,4,6,8,9,11,12],[3,5,7,8,10,12,13],[3,5,7,9,10,11,14],[4,6,8,9,10,13,14]]; G[8178]:=Group([(1,2)(8,9)(11,12)(13,14)]); # Design 8179: autom. group order 2, simple, residual B[8179]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,13,14],[1,2,7,11,12,13,14],[1,3,6,8,10,11,13],[1,3,7,8,9,12,14],[1,4,5,8,10,11,14],[1,4,6,7,9,11,14],[1,4,7,8,10,12,13],[1,5,6,7,9,10,12],[1,5,6,9,11,12,13],[2,3,6,9,10,12,14],[2,3,7,8,9,11,13],[2,4,5,9,10,12,13],[2,4,6,7,8,12,13],[2,4,7,9,10,11,14],[2,5,6,7,8,10,11],[2,5,6,8,11,12,14],[3,4,5,6,7,13,14],[3,4,5,11,12,13,14],[3,4,6,8,9,11,12],[3,5,7,8,10,12,14],[3,5,7,9,10,11,13],[4,6,8,9,10,13,14]]; G[8179]:=Group([(1,2)(8,9)(11,12)(13,14)]); # Design 8180: autom. group order 2, simple, residual B[8180]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,13,14],[1,2,7,11,12,13,14],[1,3,6,8,10,11,13],[1,3,7,8,9,11,14],[1,4,5,8,10,12,13],[1,4,6,7,8,12,14],[1,4,7,9,10,11,13],[1,5,6,7,9,10,12],[1,5,6,9,11,12,14],[2,3,6,9,10,12,14],[2,3,7,8,9,12,13],[2,4,5,9,10,11,14],[2,4,6,7,9,11,13],[2,4,7,8,10,12,14],[2,5,6,7,8,10,11],[2,5,6,8,11,12,13],[3,4,5,6,7,13,14],[3,4,5,11,12,13,14],[3,4,6,8,9,11,12],[3,5,7,8,10,11,14],[3,5,7,9,10,12,13],[4,6,8,9,10,13,14]]; G[8180]:=Group([(1,2)(8,9)(11,12)(13,14)]); # Design 8181: autom. group order 2, simple, residual B[8181]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,13,14],[1,2,7,11,12,13,14],[1,3,6,8,10,11,13],[1,3,7,8,9,12,13],[1,4,5,8,10,11,14],[1,4,6,7,8,12,14],[1,4,7,9,10,11,13],[1,5,6,7,9,10,12],[1,5,6,9,11,12,14],[2,3,6,9,10,12,14],[2,3,7,8,9,11,14],[2,4,5,9,10,12,13],[2,4,6,7,9,11,13],[2,4,7,8,10,12,14],[2,5,6,7,8,10,11],[2,5,6,8,11,12,13],[3,4,5,6,7,13,14],[3,4,5,11,12,13,14],[3,4,6,8,9,11,12],[3,5,7,8,10,12,13],[3,5,7,9,10,11,14],[4,6,8,9,10,13,14]]; G[8181]:=Group([(1,2)(8,9)(11,12)(13,14)]); # Design 8182: autom. group order 2, simple B[8182]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,9,10,13],[1,3,6,8,10,12,14],[1,4,5,9,11,12,14],[1,4,6,9,11,13,14],[1,4,7,9,10,12,13],[1,5,7,8,10,11,14],[1,5,7,8,11,12,13],[2,3,7,8,9,11,14],[2,3,7,9,11,12,13],[2,4,5,8,10,12,13],[2,4,6,8,11,12,14],[2,4,7,8,10,13,14],[2,5,6,9,10,11,13],[2,5,6,9,10,12,14],[3,4,5,6,8,11,13],[3,4,5,7,9,10,14],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8182]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8183: autom. group order 2, simple B[8183]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,9,10,13],[1,3,6,8,11,12,14],[1,4,5,9,11,12,13],[1,4,6,9,10,12,14],[1,4,7,9,11,13,14],[1,5,7,8,10,11,14],[1,5,7,8,10,12,13],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,8,10,12,14],[2,4,6,8,10,13,14],[2,4,7,8,11,12,13],[2,5,6,9,10,11,13],[2,5,6,9,11,12,14],[3,4,5,6,8,11,13],[3,4,5,7,9,10,14],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8183]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8184: autom. group order 2, simple B[8184]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,9,10,13],[1,3,6,8,10,12,14],[1,4,5,9,11,12,14],[1,4,6,9,11,13,14],[1,4,7,8,11,12,13],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,9,11,14],[2,3,7,9,11,12,13],[2,4,5,8,10,12,13],[2,4,6,9,10,12,14],[2,4,7,8,10,13,14],[2,5,6,8,11,12,14],[2,5,6,9,10,11,13],[3,4,5,6,8,11,13],[3,4,5,7,9,10,14],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8184]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8185: autom. group order 2, simple B[8185]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,9,10,13],[1,3,6,8,11,12,14],[1,4,5,9,10,12,14],[1,4,6,9,11,12,13],[1,4,7,8,11,13,14],[1,5,7,8,10,12,13],[1,5,7,9,10,11,14],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,8,11,12,13],[2,4,6,9,10,13,14],[2,4,7,8,10,12,14],[2,5,6,8,10,11,13],[2,5,6,9,11,12,14],[3,4,5,6,8,10,14],[3,4,5,7,9,11,13],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8185]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8186: autom. group order 2, simple B[8186]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,9,10,13],[1,3,6,8,11,12,14],[1,4,5,9,10,12,14],[1,4,6,9,11,13,14],[1,4,7,8,11,12,13],[1,5,7,8,10,12,14],[1,5,7,9,10,11,13],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,8,11,12,13],[2,4,6,9,10,12,14],[2,4,7,8,10,13,14],[2,5,6,8,10,11,14],[2,5,6,9,11,12,13],[3,4,5,6,8,10,13],[3,4,5,7,9,11,14],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8186]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8187: autom. group order 2, simple B[8187]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,9,10,13],[1,3,6,8,11,12,13],[1,4,5,9,11,12,14],[1,4,6,9,10,12,14],[1,4,7,8,10,13,14],[1,5,7,8,10,11,14],[1,5,7,9,11,12,13],[2,3,7,8,9,11,14],[2,3,7,9,10,12,14],[2,4,5,8,10,12,13],[2,4,6,9,11,13,14],[2,4,7,8,11,12,13],[2,5,6,8,10,12,14],[2,5,6,9,10,11,13],[3,4,5,6,8,11,14],[3,4,5,7,9,10,13],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8187]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8188: autom. group order 2, simple B[8188]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,9,10,13],[1,3,6,8,10,12,14],[1,4,5,8,11,12,14],[1,4,6,9,11,12,13],[1,4,7,9,10,13,14],[1,5,7,8,11,12,13],[1,5,7,9,10,11,14],[2,3,7,8,9,11,14],[2,3,7,9,11,12,13],[2,4,5,9,10,12,13],[2,4,6,8,11,13,14],[2,4,7,8,10,12,14],[2,5,6,8,10,11,13],[2,5,6,9,10,12,14],[3,4,5,6,9,11,14],[3,4,5,7,8,10,13],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8188]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8189: autom. group order 2, simple B[8189]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,9,10,13],[1,3,6,8,11,12,14],[1,4,5,8,10,12,14],[1,4,6,9,11,12,13],[1,4,7,9,10,13,14],[1,5,7,8,10,11,13],[1,5,7,9,11,12,14],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,9,11,12,13],[2,4,6,8,11,13,14],[2,4,7,8,10,12,14],[2,5,6,8,10,12,13],[2,5,6,9,10,11,14],[3,4,5,6,9,10,14],[3,4,5,7,8,11,13],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8189]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8190: autom. group order 2, simple B[8190]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,9,10,13],[1,3,6,8,11,12,14],[1,4,5,8,10,12,13],[1,4,6,9,11,13,14],[1,4,7,9,10,12,14],[1,5,7,8,10,11,14],[1,5,7,9,11,12,13],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,9,11,12,14],[2,4,6,8,11,12,13],[2,4,7,8,10,13,14],[2,5,6,8,10,12,14],[2,5,6,9,10,11,13],[3,4,5,6,9,10,14],[3,4,5,7,8,11,13],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8190]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8191: autom. group order 2, simple B[8191]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,9,10,13],[1,3,6,8,11,12,13],[1,4,5,8,10,12,14],[1,4,6,9,11,12,14],[1,4,7,9,11,13,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,9,11,14],[2,3,7,9,10,12,14],[2,4,5,9,11,12,13],[2,4,6,8,10,13,14],[2,4,7,8,10,12,13],[2,5,6,8,11,12,14],[2,5,6,9,10,11,13],[3,4,5,6,9,10,14],[3,4,5,7,8,11,13],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8191]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8192: autom. group order 2, simple B[8192]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,9,10,13],[1,3,6,8,10,12,14],[1,4,5,8,11,12,13],[1,4,6,9,11,12,14],[1,4,7,8,11,13,14],[1,5,7,9,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,9,11,14],[2,3,7,9,11,12,13],[2,4,5,9,10,12,14],[2,4,6,9,10,13,14],[2,4,7,8,10,12,13],[2,5,6,8,10,11,13],[2,5,6,8,11,12,14],[3,4,5,6,9,11,13],[3,4,5,7,8,10,14],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8192]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8193: autom. group order 2, simple B[8193]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,9,10,13],[1,3,6,8,11,12,14],[1,4,5,8,11,12,13],[1,4,6,9,10,13,14],[1,4,7,8,10,12,14],[1,5,7,9,10,11,14],[1,5,7,9,11,12,13],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,9,10,12,14],[2,4,6,9,11,12,13],[2,4,7,8,11,13,14],[2,5,6,8,10,11,13],[2,5,6,8,10,12,14],[3,4,5,6,9,11,14],[3,4,5,7,8,10,13],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8193]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8194: autom. group order 2, simple B[8194]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,9,10,13],[1,3,6,8,10,12,14],[1,4,5,9,11,12,14],[1,4,7,8,11,13,14],[1,4,7,9,10,12,14],[1,5,6,9,11,12,13],[1,5,7,8,10,11,13],[2,3,7,8,9,11,14],[2,3,7,9,11,12,13],[2,4,5,8,10,12,13],[2,4,6,8,11,12,13],[2,4,6,9,10,13,14],[2,5,6,9,10,11,14],[2,5,7,8,10,12,14],[3,4,5,6,8,11,14],[3,4,5,7,9,10,13],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8194]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8195: autom. group order 2, simple B[8195]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,9,10,13],[1,3,6,8,11,12,14],[1,4,5,9,11,12,13],[1,4,7,8,10,12,14],[1,4,7,9,10,13,14],[1,5,6,9,10,11,14],[1,5,7,8,11,12,13],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,8,10,12,14],[2,4,6,8,11,13,14],[2,4,6,9,11,12,13],[2,5,6,9,10,12,14],[2,5,7,8,10,11,13],[3,4,5,6,8,10,13],[3,4,5,7,9,11,14],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8195]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8196: autom. group order 2, simple B[8196]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,9,10,13],[1,3,6,8,11,12,14],[1,4,5,9,11,12,14],[1,4,7,8,10,13,14],[1,4,7,9,10,12,14],[1,5,6,9,10,11,13],[1,5,7,8,11,12,13],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,8,10,12,13],[2,4,6,8,11,12,13],[2,4,6,9,11,13,14],[2,5,6,9,10,12,14],[2,5,7,8,10,11,14],[3,4,5,6,8,10,14],[3,4,5,7,9,11,13],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8196]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8197: autom. group order 2, simple B[8197]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,9,10,13],[1,3,6,8,11,12,14],[1,4,5,9,11,12,13],[1,4,7,8,10,12,13],[1,4,7,9,11,13,14],[1,5,6,9,10,12,14],[1,5,7,8,10,11,14],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,8,10,12,14],[2,4,6,8,10,13,14],[2,4,6,9,11,12,14],[2,5,6,9,10,11,13],[2,5,7,8,11,12,13],[3,4,5,6,8,11,13],[3,4,5,7,9,10,14],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8197]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8198: autom. group order 2, simple B[8198]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,9,10,13],[1,3,6,8,11,12,13],[1,4,5,9,11,12,14],[1,4,7,8,11,13,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,5,7,8,10,12,14],[2,3,7,8,9,11,14],[2,3,7,9,10,12,14],[2,4,5,8,10,12,13],[2,4,6,8,11,12,14],[2,4,6,9,10,13,14],[2,5,6,9,11,12,13],[2,5,7,8,10,11,13],[3,4,5,6,8,10,14],[3,4,5,7,9,11,13],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8198]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8199: autom. group order 2, simple B[8199]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,9,10,13],[1,3,6,8,11,12,14],[1,4,5,9,10,12,14],[1,4,7,8,10,12,13],[1,4,7,8,11,13,14],[1,5,6,9,11,12,13],[1,5,7,9,10,11,14],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,8,11,12,13],[2,4,6,9,10,13,14],[2,4,6,9,11,12,14],[2,5,6,8,10,11,13],[2,5,7,8,10,12,14],[3,4,5,6,8,10,14],[3,4,5,7,9,11,13],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8199]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8200: autom. group order 2, simple B[8200]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,9,10,13],[1,3,6,8,11,12,13],[1,4,5,9,11,12,14],[1,4,7,8,10,12,14],[1,4,7,8,11,13,14],[1,5,6,9,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,9,11,14],[2,3,7,9,10,12,14],[2,4,5,8,10,12,13],[2,4,6,9,10,13,14],[2,4,6,9,11,12,13],[2,5,6,8,11,12,14],[2,5,7,8,10,11,13],[3,4,5,6,8,10,14],[3,4,5,7,9,11,13],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8200]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8201: autom. group order 2, simple B[8201]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,9,10,13],[1,3,6,8,11,12,14],[1,4,5,8,10,12,14],[1,4,7,9,10,12,14],[1,4,7,9,11,13,14],[1,5,6,9,10,11,13],[1,5,7,8,11,12,13],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,9,11,12,13],[2,4,6,8,10,13,14],[2,4,6,8,11,12,13],[2,5,6,9,10,12,14],[2,5,7,8,10,11,14],[3,4,5,6,9,11,14],[3,4,5,7,8,10,13],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8201]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8202: autom. group order 2, simple B[8202]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,9,10,13],[1,3,6,8,11,12,13],[1,4,5,8,10,12,14],[1,4,7,9,10,12,13],[1,4,7,9,11,13,14],[1,5,6,9,11,12,14],[1,5,7,8,10,11,14],[2,3,7,8,9,11,14],[2,3,7,9,10,12,14],[2,4,5,9,11,12,13],[2,4,6,8,10,13,14],[2,4,6,8,11,12,14],[2,5,6,9,10,11,13],[2,5,7,8,10,12,13],[3,4,5,6,9,10,14],[3,4,5,7,8,11,13],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8202]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8203: autom. group order 2, simple B[8203]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,9,10,13],[1,3,6,8,10,12,14],[1,4,5,8,11,12,13],[1,4,7,8,11,13,14],[1,4,7,9,10,12,13],[1,5,6,9,11,12,14],[1,5,7,9,10,11,14],[2,3,7,8,9,11,14],[2,3,7,9,11,12,13],[2,4,5,9,10,12,14],[2,4,6,8,11,12,14],[2,4,6,9,10,13,14],[2,5,6,8,10,11,13],[2,5,7,8,10,12,13],[3,4,5,6,9,11,13],[3,4,5,7,8,10,14],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8203]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8204: autom. group order 2, simple B[8204]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,9,10,13],[1,3,6,8,11,12,14],[1,4,5,8,10,12,13],[1,4,7,8,11,13,14],[1,4,7,9,10,12,14],[1,5,6,9,10,11,14],[1,5,7,9,11,12,13],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,9,11,12,14],[2,4,6,8,11,12,13],[2,4,6,9,10,13,14],[2,5,6,8,10,12,14],[2,5,7,8,10,11,13],[3,4,5,6,9,11,13],[3,4,5,7,8,10,14],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8204]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8205: autom. group order 2, simple B[8205]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,9,10,13],[1,3,6,8,11,12,14],[1,4,5,8,10,12,14],[1,4,7,8,11,12,13],[1,4,7,9,11,13,14],[1,5,6,9,10,11,13],[1,5,7,9,10,12,14],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,9,11,12,13],[2,4,6,8,10,13,14],[2,4,6,9,10,12,14],[2,5,6,8,11,12,13],[2,5,7,8,10,11,14],[3,4,5,6,9,11,14],[3,4,5,7,8,10,13],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8205]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8206: autom. group order 2, simple B[8206]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,9,10,13],[1,3,6,8,11,12,14],[1,4,5,8,10,12,13],[1,4,7,8,11,13,14],[1,4,7,9,11,12,13],[1,5,6,9,10,11,14],[1,5,7,9,10,12,14],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,9,11,12,14],[2,4,6,8,10,12,14],[2,4,6,9,10,13,14],[2,5,6,8,11,12,13],[2,5,7,8,10,11,13],[3,4,5,6,9,11,13],[3,4,5,7,8,10,14],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8206]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8207: autom. group order 2, simple B[8207]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,9,10,13],[1,3,6,8,11,12,13],[1,4,5,8,11,12,14],[1,4,7,8,10,12,14],[1,4,7,9,11,13,14],[1,5,6,9,10,12,14],[1,5,7,9,10,11,13],[2,3,7,8,9,11,14],[2,3,7,9,10,12,14],[2,4,5,9,10,12,13],[2,4,6,8,10,13,14],[2,4,6,9,11,12,13],[2,5,6,8,10,11,14],[2,5,7,8,11,12,13],[3,4,5,6,9,11,14],[3,4,5,7,8,10,13],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8207]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8208: autom. group order 2, simple B[8208]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,9,10,13],[1,3,7,8,10,12,14],[1,4,5,9,10,12,13],[1,4,6,8,11,13,14],[1,4,6,9,11,12,14],[1,5,7,8,11,12,13],[1,5,7,9,10,11,14],[2,3,6,9,11,12,13],[2,3,7,8,9,11,14],[2,4,5,8,11,12,14],[2,4,7,8,10,12,13],[2,4,7,9,10,13,14],[2,5,6,8,10,11,13],[2,5,6,9,10,12,14],[3,4,5,6,8,10,14],[3,4,5,7,9,11,13],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8208]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8209: autom. group order 2, simple B[8209]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,9,10,13],[1,3,7,8,11,12,13],[1,4,5,9,10,12,14],[1,4,6,8,11,12,14],[1,4,6,9,11,13,14],[1,5,7,8,10,12,14],[1,5,7,9,10,11,13],[2,3,6,9,10,12,14],[2,3,7,8,9,11,14],[2,4,5,8,11,12,13],[2,4,7,8,10,13,14],[2,4,7,9,10,12,13],[2,5,6,8,10,11,14],[2,5,6,9,11,12,13],[3,4,5,6,8,10,13],[3,4,5,7,9,11,14],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8209]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8210: autom. group order 2, simple B[8210]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,9,10,13],[1,3,7,8,11,12,13],[1,4,5,9,11,12,14],[1,4,6,8,10,12,14],[1,4,6,9,11,13,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,6,9,10,12,14],[2,3,7,8,9,11,14],[2,4,5,8,10,12,13],[2,4,7,8,10,13,14],[2,4,7,9,11,12,13],[2,5,6,8,11,12,14],[2,5,6,9,10,11,13],[3,4,5,6,8,11,13],[3,4,5,7,9,10,14],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8210]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8211: autom. group order 2, simple B[8211]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,10,12,13],[1,3,7,8,9,10,14],[1,4,5,9,11,12,13],[1,4,6,8,11,13,14],[1,4,6,9,10,12,14],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,6,8,9,11,13],[2,3,7,9,11,12,14],[2,4,5,8,10,12,14],[2,4,7,8,11,12,13],[2,4,7,9,10,13,14],[2,5,6,8,10,11,14],[2,5,6,9,10,12,13],[3,4,5,6,9,11,14],[3,4,5,7,8,10,13],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8211]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8212: autom. group order 2, simple B[8212]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,10,12,13],[1,3,7,8,9,11,13],[1,4,5,9,10,12,14],[1,4,6,8,11,13,14],[1,4,6,9,11,12,14],[1,5,7,8,10,12,14],[1,5,7,9,10,11,13],[2,3,6,8,9,10,14],[2,3,7,9,11,12,14],[2,4,5,8,11,12,13],[2,4,7,8,10,12,13],[2,4,7,9,10,13,14],[2,5,6,8,10,11,14],[2,5,6,9,11,12,13],[3,4,5,6,9,10,13],[3,4,5,7,8,11,14],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8212]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8213: autom. group order 2, simple B[8213]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,10,12,13],[1,3,7,8,9,11,13],[1,4,5,9,11,12,14],[1,4,6,8,11,13,14],[1,4,6,9,10,12,14],[1,5,7,8,10,11,14],[1,5,7,9,10,12,13],[2,3,6,8,9,10,14],[2,3,7,9,11,12,14],[2,4,5,8,10,12,13],[2,4,7,8,11,12,13],[2,4,7,9,10,13,14],[2,5,6,8,11,12,14],[2,5,6,9,10,11,13],[3,4,5,6,9,11,13],[3,4,5,7,8,10,14],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8213]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8214: autom. group order 2, simple B[8214]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,10,12,13],[1,3,7,8,9,10,14],[1,4,5,8,11,12,13],[1,4,6,9,10,13,14],[1,4,6,9,11,12,14],[1,5,7,8,10,11,14],[1,5,7,9,11,12,13],[2,3,6,8,9,11,13],[2,3,7,9,11,12,14],[2,4,5,9,10,12,14],[2,4,7,8,10,12,13],[2,4,7,8,11,13,14],[2,5,6,8,10,12,14],[2,5,6,9,10,11,13],[3,4,5,6,8,11,14],[3,4,5,7,9,10,13],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8214]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8215: autom. group order 2, simple B[8215]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,10,12,13],[1,3,7,8,9,11,14],[1,4,5,8,11,12,13],[1,4,6,9,10,12,14],[1,4,6,9,11,13,14],[1,5,7,8,10,12,14],[1,5,7,9,10,11,13],[2,3,6,8,9,10,13],[2,3,7,9,11,12,14],[2,4,5,9,10,12,14],[2,4,7,8,10,13,14],[2,4,7,8,11,12,13],[2,5,6,8,10,11,14],[2,5,6,9,11,12,13],[3,4,5,6,8,11,14],[3,4,5,7,9,10,13],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8215]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8216: autom. group order 2, simple B[8216]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,10,12,13],[1,3,7,8,9,10,14],[1,4,5,9,10,12,14],[1,4,6,9,11,13,14],[1,4,7,9,11,12,13],[1,5,6,8,11,12,14],[1,5,7,8,10,11,13],[2,3,6,8,9,11,13],[2,3,7,9,11,12,14],[2,4,5,8,11,12,13],[2,4,6,8,10,12,14],[2,4,7,8,10,13,14],[2,5,6,9,10,11,14],[2,5,7,9,10,12,13],[3,4,5,6,9,10,13],[3,4,5,7,8,11,14],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8216]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8217: autom. group order 2, simple B[8217]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,10,12,13],[1,3,7,8,9,11,13],[1,4,5,9,10,12,14],[1,4,6,9,11,12,13],[1,4,7,9,10,13,14],[1,5,6,8,10,11,14],[1,5,7,8,11,12,14],[2,3,6,8,9,10,14],[2,3,7,9,11,12,14],[2,4,5,8,11,12,13],[2,4,6,8,11,13,14],[2,4,7,8,10,12,14],[2,5,6,9,10,12,13],[2,5,7,9,10,11,13],[3,4,5,6,9,11,14],[3,4,5,7,8,10,13],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8217]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8218: autom. group order 2, simple B[8218]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,10,12,13],[1,3,7,8,9,11,14],[1,4,5,9,11,12,13],[1,4,6,9,10,12,14],[1,4,7,9,10,13,14],[1,5,6,8,11,12,14],[1,5,7,8,10,11,13],[2,3,6,8,9,10,13],[2,3,7,9,11,12,14],[2,4,5,8,10,12,14],[2,4,6,8,11,13,14],[2,4,7,8,11,12,13],[2,5,6,9,10,11,14],[2,5,7,9,10,12,13],[3,4,5,6,9,11,13],[3,4,5,7,8,10,14],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8218]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8219: autom. group order 2, simple B[8219]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,10,12,13],[1,3,7,8,9,11,13],[1,4,5,9,11,12,13],[1,4,6,9,10,13,14],[1,4,7,9,10,12,14],[1,5,6,8,11,12,14],[1,5,7,8,10,11,14],[2,3,6,8,9,10,14],[2,3,7,9,11,12,14],[2,4,5,8,10,12,14],[2,4,6,8,11,12,13],[2,4,7,8,11,13,14],[2,5,6,9,10,11,13],[2,5,7,9,10,12,13],[3,4,5,6,9,11,14],[3,4,5,7,8,10,13],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8219]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8220: autom. group order 2, simple B[8220]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,9,10,13],[1,3,7,8,11,12,13],[1,4,5,9,11,12,13],[1,4,6,8,10,13,14],[1,4,7,9,10,12,14],[1,5,6,9,11,12,14],[1,5,7,8,10,11,14],[2,3,6,9,10,12,14],[2,3,7,8,9,11,14],[2,4,5,8,10,12,14],[2,4,6,8,11,12,13],[2,4,7,9,11,13,14],[2,5,6,9,10,11,13],[2,5,7,8,10,12,13],[3,4,5,6,8,11,14],[3,4,5,7,9,10,13],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8220]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8221: autom. group order 2, simple B[8221]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,10,12,13],[1,3,7,8,9,10,14],[1,4,5,9,10,12,13],[1,4,6,8,11,12,14],[1,4,7,9,11,13,14],[1,5,6,9,10,11,14],[1,5,7,8,11,12,13],[2,3,6,8,9,11,13],[2,3,7,9,11,12,14],[2,4,5,8,11,12,14],[2,4,6,8,10,13,14],[2,4,7,9,10,12,13],[2,5,6,9,10,12,14],[2,5,7,8,10,11,13],[3,4,5,6,9,11,13],[3,4,5,7,8,10,14],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8221]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8222: autom. group order 2, simple B[8222]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,10,12,13],[1,3,7,8,9,10,14],[1,4,5,9,10,12,13],[1,4,6,8,11,13,14],[1,4,7,9,11,12,13],[1,5,6,9,11,12,14],[1,5,7,8,10,11,14],[2,3,6,8,9,11,13],[2,3,7,9,11,12,14],[2,4,5,8,11,12,14],[2,4,6,8,10,12,14],[2,4,7,9,10,13,14],[2,5,6,9,10,11,13],[2,5,7,8,10,12,13],[3,4,5,6,9,10,14],[3,4,5,7,8,11,13],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8222]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8223: autom. group order 2, simple B[8223]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,10,12,13],[1,3,7,8,9,10,14],[1,4,5,9,10,12,14],[1,4,6,8,11,12,14],[1,4,7,8,11,13,14],[1,5,6,9,10,11,13],[1,5,7,9,11,12,13],[2,3,6,8,9,11,13],[2,3,7,9,11,12,14],[2,4,5,8,11,12,13],[2,4,6,9,10,13,14],[2,4,7,9,10,12,13],[2,5,6,8,10,12,14],[2,5,7,8,10,11,14],[3,4,5,6,9,11,14],[3,4,5,7,8,10,13],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8223]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8224: autom. group order 2, simple B[8224]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,10,12,13],[1,3,7,8,9,10,14],[1,4,5,9,11,12,13],[1,4,6,8,11,13,14],[1,4,7,8,11,12,14],[1,5,6,9,10,12,14],[1,5,7,9,10,11,13],[2,3,6,8,9,11,13],[2,3,7,9,11,12,14],[2,4,5,8,10,12,14],[2,4,6,9,10,12,13],[2,4,7,9,10,13,14],[2,5,6,8,10,11,14],[2,5,7,8,11,12,13],[3,4,5,6,9,11,14],[3,4,5,7,8,10,13],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8224]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8225: autom. group order 2, simple B[8225]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,10,12,13],[1,3,7,8,9,11,14],[1,4,5,9,10,12,14],[1,4,6,8,11,12,14],[1,4,7,8,10,13,14],[1,5,6,9,11,12,13],[1,5,7,9,10,11,13],[2,3,6,8,9,10,13],[2,3,7,9,11,12,14],[2,4,5,8,11,12,13],[2,4,6,9,11,13,14],[2,4,7,9,10,12,13],[2,5,6,8,10,11,14],[2,5,7,8,10,12,14],[3,4,5,6,9,10,14],[3,4,5,7,8,11,13],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8225]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8226: autom. group order 2, simple B[8226]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,10,12,13],[1,3,7,8,9,11,13],[1,4,5,9,11,12,13],[1,4,6,8,11,12,14],[1,4,7,8,10,13,14],[1,5,6,9,10,11,14],[1,5,7,9,10,12,14],[2,3,6,8,9,10,14],[2,3,7,9,11,12,14],[2,4,5,8,10,12,14],[2,4,6,9,11,13,14],[2,4,7,9,10,12,13],[2,5,6,8,11,12,13],[2,5,7,8,10,11,13],[3,4,5,6,9,10,13],[3,4,5,7,8,11,14],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8226]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8227: autom. group order 2, simple B[8227]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,9,10,13],[1,3,7,8,10,12,14],[1,4,5,8,11,12,14],[1,4,6,9,10,12,14],[1,4,7,9,11,13,14],[1,5,6,8,11,12,13],[1,5,7,9,10,11,13],[2,3,6,9,11,12,13],[2,3,7,8,9,11,14],[2,4,5,9,10,12,13],[2,4,6,8,10,13,14],[2,4,7,8,11,12,13],[2,5,6,8,10,11,14],[2,5,7,9,10,12,14],[3,4,5,6,9,11,14],[3,4,5,7,8,10,13],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8227]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8228: autom. group order 2, simple B[8228]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,9,10,13],[1,3,7,8,10,12,14],[1,4,5,8,11,12,13],[1,4,6,9,11,13,14],[1,4,7,9,10,12,13],[1,5,6,8,10,11,14],[1,5,7,9,11,12,14],[2,3,6,9,11,12,13],[2,3,7,8,9,11,14],[2,4,5,9,10,12,14],[2,4,6,8,11,12,14],[2,4,7,8,10,13,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,13],[3,4,5,6,9,10,14],[3,4,5,7,8,11,13],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8228]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8229: autom. group order 2, simple B[8229]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,9,10,13],[1,3,7,8,10,12,14],[1,4,5,8,11,12,13],[1,4,6,9,11,13,14],[1,4,7,9,11,12,14],[1,5,6,8,10,11,14],[1,5,7,9,10,12,13],[2,3,6,9,11,12,13],[2,3,7,8,9,11,14],[2,4,5,9,10,12,14],[2,4,6,8,10,12,13],[2,4,7,8,10,13,14],[2,5,6,8,11,12,14],[2,5,7,9,10,11,13],[3,4,5,6,9,10,14],[3,4,5,7,8,11,13],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8229]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8230: autom. group order 2, simple B[8230]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,9,10,13],[1,3,7,8,11,12,13],[1,4,5,8,10,12,14],[1,4,6,8,11,12,14],[1,4,7,9,11,13,14],[1,5,6,9,10,11,13],[1,5,7,9,10,12,14],[2,3,6,9,10,12,14],[2,3,7,8,9,11,14],[2,4,5,9,11,12,13],[2,4,6,8,10,13,14],[2,4,7,9,10,12,13],[2,5,6,8,11,12,13],[2,5,7,8,10,11,14],[3,4,5,6,9,11,14],[3,4,5,7,8,10,13],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8230]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8231: autom. group order 2, simple B[8231]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,9,10,13],[1,3,7,8,11,12,13],[1,4,5,8,10,12,14],[1,4,6,8,11,13,14],[1,4,7,9,11,12,14],[1,5,6,9,10,11,14],[1,5,7,9,10,12,13],[2,3,6,9,10,12,14],[2,3,7,8,9,11,14],[2,4,5,9,11,12,13],[2,4,6,8,10,12,13],[2,4,7,9,10,13,14],[2,5,6,8,11,12,14],[2,5,7,8,10,11,13],[3,4,5,6,9,11,13],[3,4,5,7,8,10,14],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8231]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8232: autom. group order 2, simple B[8232]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,9,10,13],[1,3,7,8,11,12,13],[1,4,5,8,11,12,14],[1,4,6,8,10,12,14],[1,4,7,9,10,13,14],[1,5,6,9,11,12,13],[1,5,7,9,10,11,14],[2,3,6,9,10,12,14],[2,3,7,8,9,11,14],[2,4,5,9,10,12,13],[2,4,6,8,11,13,14],[2,4,7,9,11,12,13],[2,5,6,8,10,11,13],[2,5,7,8,10,12,14],[3,4,5,6,9,11,14],[3,4,5,7,8,10,13],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8232]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8233: autom. group order 2, simple B[8233]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,12],[1,3,6,8,9,10,13],[1,3,7,8,11,12,13],[1,4,5,8,11,12,14],[1,4,6,8,10,13,14],[1,4,7,9,10,12,14],[1,5,6,9,11,12,14],[1,5,7,9,10,11,13],[2,3,6,9,10,12,14],[2,3,7,8,9,11,14],[2,4,5,9,10,12,13],[2,4,6,8,11,12,13],[2,4,7,9,11,13,14],[2,5,6,8,10,11,14],[2,5,7,8,10,12,13],[3,4,5,6,9,11,13],[3,4,5,7,8,10,14],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,6,7,8,9,10,11]]; G[8233]:=Group([(1,2)(6,7)(8,9)(10,11)(13,14)]); # Design 8234: autom. group order 2, simple, residual B[8234]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,10,13,14],[1,2,6,7,8,12,13],[1,3,6,7,9,12,13],[1,3,7,8,9,10,11],[1,4,5,9,11,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,12,14],[1,5,6,7,8,11,14],[1,5,8,9,11,12,13],[2,3,6,7,9,11,14],[2,3,8,9,12,13,14],[2,4,5,7,9,12,14],[2,4,6,8,9,10,13],[2,4,7,8,11,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,11,12],[3,4,5,6,11,12,13],[3,4,5,7,8,10,13],[3,4,6,8,11,12,14],[3,5,6,8,9,10,14],[3,5,7,10,12,13,14],[4,6,7,9,10,11,13]]; G[8234]:=Group([(1,10)(3,11)(4,12)(7,9)]); # Design 8235: autom. group order 2, simple, residual B[8235]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,10,13,14],[1,2,6,7,8,12,13],[1,3,6,7,9,12,13],[1,3,7,8,9,10,11],[1,4,5,8,9,11,13],[1,4,6,8,10,12,14],[1,4,7,9,10,12,14],[1,5,6,7,8,11,14],[1,5,9,11,12,13,14],[2,3,6,7,9,11,14],[2,3,8,9,12,13,14],[2,4,5,7,9,12,14],[2,4,6,8,9,10,13],[2,4,7,8,11,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,11,12],[3,4,5,6,11,12,13],[3,4,5,7,10,13,14],[3,4,6,8,11,12,14],[3,5,6,8,9,10,14],[3,5,7,8,10,12,13],[4,6,7,9,10,11,13]]; G[8235]:=Group([(1,10)(3,11)(4,12)(7,9)]); # Design 8236: autom. group order 2, simple, residual B[8236]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,7,12,13,14],[1,3,6,7,9,11,14],[1,3,7,8,9,11,13],[1,4,5,8,12,13,14],[1,4,6,9,10,13,14],[1,4,7,8,9,12,14],[1,5,6,9,10,11,12],[1,5,7,8,10,11,12],[2,3,6,8,9,12,13],[2,3,7,8,10,12,14],[2,4,5,7,9,11,13],[2,4,6,7,9,10,12],[2,4,8,9,10,11,14],[2,5,6,7,8,11,14],[2,5,9,11,12,13,14],[3,4,5,6,11,12,14],[3,4,5,7,10,13,14],[3,4,6,8,11,12,13],[3,5,6,8,9,10,14],[3,5,7,9,10,12,13],[4,6,7,8,10,11,13]]; G[8236]:=Group([(2,10)(3,11)(4,12)(7,9)]); # Design 8237: autom. group order 2, simple, residual B[8237]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,7,12,13,14],[1,3,6,7,9,11,14],[1,3,7,8,9,11,13],[1,4,5,8,12,13,14],[1,4,6,9,10,13,14],[1,4,7,8,9,12,14],[1,5,6,9,10,11,12],[1,5,7,8,10,11,12],[2,3,6,8,9,12,13],[2,3,7,8,10,12,14],[2,4,5,7,11,13,14],[2,4,6,7,9,10,12],[2,4,8,9,10,11,14],[2,5,6,8,9,11,14],[2,5,7,9,11,12,13],[3,4,5,6,11,12,14],[3,4,5,7,9,10,13],[3,4,6,8,11,12,13],[3,5,6,7,8,10,14],[3,5,9,10,12,13,14],[4,6,7,8,10,11,13]]; G[8237]:=Group([(2,10)(3,11)(4,12)(7,9)]); # Design 8238: autom. group order 2, simple, residual B[8238]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,10,13,14],[1,2,6,8,9,12,13],[1,3,6,7,8,11,14],[1,3,7,9,12,13,14],[1,4,5,7,8,12,14],[1,4,6,7,9,10,13],[1,4,8,9,11,13,14],[1,5,6,8,10,11,12],[1,5,7,9,10,11,12],[2,3,6,7,8,12,13],[2,3,7,8,9,10,11],[2,4,5,7,9,11,13],[2,4,6,9,10,12,14],[2,4,7,8,10,12,14],[2,5,6,8,9,11,14],[2,5,7,11,12,13,14],[3,4,5,6,11,12,13],[3,4,5,8,10,13,14],[3,4,6,9,11,12,14],[3,5,6,7,9,10,14],[3,5,8,9,10,12,13],[4,6,7,8,10,11,13]]; G[8238]:=Group([(2,10)(3,11)(4,12)(7,8)]); # Design 8239: autom. group order 2, simple, residual B[8239]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,10,13,14],[1,2,6,8,9,12,13],[1,3,6,7,8,11,14],[1,3,7,9,12,13,14],[1,4,5,7,8,12,14],[1,4,6,7,9,10,13],[1,4,8,9,11,13,14],[1,5,6,8,10,11,12],[1,5,7,9,10,11,12],[2,3,6,7,8,12,13],[2,3,7,8,9,10,11],[2,4,5,7,11,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,12,14],[2,5,6,8,9,11,14],[2,5,7,9,11,12,13],[3,4,5,6,11,12,13],[3,4,5,8,9,10,13],[3,4,6,9,11,12,14],[3,5,6,7,9,10,14],[3,5,8,10,12,13,14],[4,6,7,8,10,11,13]]; G[8239]:=Group([(2,10)(3,11)(4,12)(7,8)]); # Design 8240: autom. group order 2, simple, residual B[8240]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,10,13,14],[1,2,6,8,9,12,13],[1,3,6,7,8,11,14],[1,3,7,9,12,13,14],[1,4,5,7,8,12,14],[1,4,6,8,9,10,13],[1,4,7,9,11,13,14],[1,5,6,7,10,11,12],[1,5,8,9,10,11,12],[2,3,6,7,8,12,13],[2,3,7,8,9,10,11],[2,4,5,8,11,13,14],[2,4,6,9,11,12,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,14],[2,5,7,9,11,12,13],[3,4,5,6,11,12,13],[3,4,5,7,9,10,13],[3,4,6,9,10,12,14],[3,5,6,8,9,11,14],[3,5,8,10,12,13,14],[4,6,7,8,10,11,13]]; G[8240]:=Group([(2,10)(3,11)(4,12)]); # Design 8241: autom. group order 2, simple, residual B[8241]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,12,13,14],[1,3,6,7,9,11,14],[1,3,7,8,9,11,13],[1,4,5,8,12,13,14],[1,4,6,7,10,13,14],[1,4,7,8,9,12,14],[1,5,6,9,10,11,12],[1,5,7,8,10,11,12],[2,3,6,7,8,12,13],[2,3,8,9,10,12,14],[2,4,5,7,9,11,13],[2,4,6,7,9,10,12],[2,4,7,8,10,11,14],[2,5,6,8,9,11,14],[2,5,7,11,12,13,14],[3,4,5,6,11,12,14],[3,4,5,9,10,13,14],[3,4,6,8,11,12,13],[3,5,6,7,8,10,14],[3,5,7,9,10,12,13],[4,6,8,9,10,11,13]]; G[8241]:=Group([(2,10)(3,11)(4,12)(7,9)]); # Design 8242: autom. group order 2, simple, residual B[8242]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,13],[1,2,6,9,12,13,14],[1,3,6,7,9,11,14],[1,3,7,8,9,11,13],[1,4,5,8,12,13,14],[1,4,6,7,10,13,14],[1,4,7,8,9,12,14],[1,5,6,9,10,11,12],[1,5,7,8,10,11,12],[2,3,6,7,8,12,13],[2,3,8,9,10,12,14],[2,4,5,9,11,13,14],[2,4,6,7,9,10,12],[2,4,7,8,10,11,14],[2,5,6,7,8,11,14],[2,5,7,9,11,12,13],[3,4,5,6,11,12,14],[3,4,5,7,9,10,13],[3,4,6,8,11,12,13],[3,5,6,8,9,10,14],[3,5,7,10,12,13,14],[4,6,8,9,10,11,13]]; G[8242]:=Group([(2,10)(3,11)(4,12)(7,9)]); # Design 8243: autom. group order 2, simple, residual B[8243]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,13],[1,4,5,6,9,13,14],[1,4,6,8,10,12,14],[1,4,7,9,11,12,13],[1,5,7,8,10,11,14],[1,5,7,9,11,12,14],[2,3,6,7,9,11,14],[2,3,7,8,9,12,14],[2,4,5,7,8,13,14],[2,4,6,8,11,12,14],[2,4,7,9,10,12,13],[2,5,6,8,11,12,13],[2,5,6,9,10,11,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,14],[3,5,7,8,10,12,13],[4,6,7,8,9,10,11]]; G[8243]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8244: autom. group order 2, simple, residual B[8244]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,13],[1,4,5,6,9,13,14],[1,4,6,8,10,12,14],[1,4,7,9,11,12,14],[1,5,7,8,10,11,14],[1,5,7,9,11,12,13],[2,3,6,7,9,11,14],[2,3,7,8,9,12,14],[2,4,5,7,8,13,14],[2,4,6,8,11,12,13],[2,4,7,9,10,12,13],[2,5,6,8,11,12,14],[2,5,6,9,10,11,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,14],[3,5,7,8,10,12,13],[4,6,7,8,9,10,11]]; G[8244]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8245: autom. group order 2, simple, residual B[8245]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,13],[1,4,5,6,9,13,14],[1,4,6,8,10,12,14],[1,4,7,9,11,12,13],[1,5,7,8,11,12,14],[1,5,7,9,10,11,14],[2,3,6,7,9,11,14],[2,3,7,8,9,12,14],[2,4,5,7,8,13,14],[2,4,6,8,11,12,14],[2,4,7,9,10,12,13],[2,5,6,8,10,11,13],[2,5,6,9,11,12,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,14],[3,5,7,8,10,12,13],[4,6,7,8,9,10,11]]; G[8245]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8246: autom. group order 2, simple, residual B[8246]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,13],[1,4,5,6,9,13,14],[1,4,6,8,10,12,14],[1,4,7,9,11,12,14],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,6,7,9,11,14],[2,3,7,8,9,12,14],[2,4,5,7,8,13,14],[2,4,6,8,11,12,13],[2,4,7,9,10,12,13],[2,5,6,8,10,11,14],[2,5,6,9,11,12,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,14],[3,5,7,8,10,12,13],[4,6,7,8,9,10,11]]; G[8246]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8247: autom. group order 2, simple, residual B[8247]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,13],[1,4,5,6,9,13,14],[1,4,6,8,11,12,14],[1,4,7,9,10,12,13],[1,5,7,8,10,11,14],[1,5,7,9,11,12,14],[2,3,6,7,9,11,14],[2,3,7,8,9,12,14],[2,4,5,7,8,13,14],[2,4,6,8,10,12,14],[2,4,7,9,11,12,13],[2,5,6,8,11,12,13],[2,5,6,9,10,11,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,14],[3,5,7,8,10,12,13],[4,6,7,8,9,10,11]]; G[8247]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8248: autom. group order 2, simple, residual B[8248]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,13],[1,4,5,6,9,13,14],[1,4,6,8,11,12,14],[1,4,7,9,10,12,14],[1,5,7,8,10,11,14],[1,5,7,9,11,12,13],[2,3,6,7,9,11,14],[2,3,7,8,9,12,14],[2,4,5,7,8,13,14],[2,4,6,8,10,12,13],[2,4,7,9,11,12,13],[2,5,6,8,11,12,14],[2,5,6,9,10,11,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,14],[3,5,7,8,10,12,13],[4,6,7,8,9,10,11]]; G[8248]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8249: autom. group order 2, simple, residual B[8249]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,13],[1,4,5,6,9,13,14],[1,4,6,8,11,12,14],[1,4,7,9,10,12,13],[1,5,7,8,11,12,14],[1,5,7,9,10,11,14],[2,3,6,7,9,11,14],[2,3,7,8,9,12,14],[2,4,5,7,8,13,14],[2,4,6,8,10,12,14],[2,4,7,9,11,12,13],[2,5,6,8,10,11,13],[2,5,6,9,11,12,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,14],[3,5,7,8,10,12,13],[4,6,7,8,9,10,11]]; G[8249]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8250: autom. group order 2, simple, residual B[8250]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,13],[1,4,5,6,9,13,14],[1,4,6,8,11,12,14],[1,4,7,9,10,12,14],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,6,7,9,11,14],[2,3,7,8,9,12,14],[2,4,5,7,8,13,14],[2,4,6,8,10,12,13],[2,4,7,9,11,12,13],[2,5,6,8,10,11,14],[2,5,6,9,11,12,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,14],[3,5,7,8,10,12,13],[4,6,7,8,9,10,11]]; G[8250]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8251: autom. group order 2, simple, residual B[8251]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,13],[1,4,5,6,9,13,14],[1,4,6,8,10,12,14],[1,4,7,8,11,12,14],[1,5,7,9,10,11,13],[1,5,7,9,11,12,14],[2,3,6,7,9,11,14],[2,3,7,8,9,12,14],[2,4,5,7,8,13,14],[2,4,6,9,11,12,13],[2,4,7,9,10,12,13],[2,5,6,8,10,11,14],[2,5,6,8,11,12,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,14],[3,5,7,8,10,12,13],[4,6,7,8,9,10,11]]; G[8251]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8252: autom. group order 2, simple, residual B[8252]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,13],[1,4,5,6,9,13,14],[1,4,6,8,10,12,14],[1,4,7,8,11,12,14],[1,5,7,9,10,11,14],[1,5,7,9,11,12,13],[2,3,6,7,9,11,14],[2,3,7,8,9,12,14],[2,4,5,7,8,13,14],[2,4,6,9,11,12,13],[2,4,7,9,10,12,13],[2,5,6,8,10,11,13],[2,5,6,8,11,12,14],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,14],[3,5,7,8,10,12,13],[4,6,7,8,9,10,11]]; G[8252]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8253: autom. group order 2, simple, residual B[8253]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,9,12,13],[1,3,6,8,9,11,14],[1,4,5,6,7,13,14],[1,4,6,9,10,12,14],[1,4,7,8,11,12,13],[1,5,7,8,11,12,14],[1,5,8,9,10,11,13],[2,3,6,7,8,11,14],[2,3,7,8,9,12,13],[2,4,5,8,9,13,14],[2,4,6,9,11,12,13],[2,4,7,8,10,12,14],[2,5,6,7,10,11,13],[2,5,6,9,11,12,14],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,8,10,12,13],[3,5,7,9,10,12,14],[4,6,7,8,9,10,11]]; G[8253]:=Group([(1,2)(6,8)(7,9)]); # Design 8254: autom. group order 2, simple, residual B[8254]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,9,12,13],[1,3,6,8,9,11,14],[1,4,5,6,7,13,14],[1,4,6,9,11,12,13],[1,4,7,8,10,12,14],[1,5,7,8,11,12,14],[1,5,8,9,10,11,13],[2,3,6,7,8,11,14],[2,3,7,8,9,12,13],[2,4,5,8,9,13,14],[2,4,6,9,10,12,14],[2,4,7,8,11,12,13],[2,5,6,7,10,11,13],[2,5,6,9,11,12,14],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,8,10,12,13],[3,5,7,9,10,12,14],[4,6,7,8,9,10,11]]; G[8254]:=Group([(1,2)(6,8)(7,9)]); # Design 8255: autom. group order 2, simple, residual B[8255]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,9,12,13],[1,3,6,8,9,11,14],[1,4,5,6,7,13,14],[1,4,6,9,10,12,14],[1,4,8,9,11,12,13],[1,5,7,8,10,11,13],[1,5,7,8,11,12,14],[2,3,6,7,8,11,14],[2,3,7,8,9,12,13],[2,4,5,8,9,13,14],[2,4,6,7,11,12,13],[2,4,7,8,10,12,14],[2,5,6,9,10,11,13],[2,5,6,9,11,12,14],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,8,10,12,13],[3,5,7,9,10,12,14],[4,6,7,8,9,10,11]]; G[8255]:=Group([(1,2)(6,8)(7,9)]); # Design 8256: autom. group order 2, simple, residual B[8256]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,9,12,13],[1,3,6,8,9,11,14],[1,4,5,6,9,13,14],[1,4,6,7,10,12,14],[1,4,7,8,11,12,13],[1,5,7,8,11,12,14],[1,5,8,9,10,11,13],[2,3,6,7,8,11,14],[2,3,7,8,9,12,13],[2,4,5,7,8,13,14],[2,4,6,9,11,12,13],[2,4,8,9,10,12,14],[2,5,6,7,10,11,13],[2,5,6,9,11,12,14],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,8,10,12,13],[3,5,7,9,10,12,14],[4,6,7,8,9,10,11]]; G[8256]:=Group([(1,2)(6,8)(7,9)]); # Design 8257: autom. group order 2, simple, residual B[8257]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,9,12,13],[1,3,6,8,9,11,14],[1,4,5,6,9,13,14],[1,4,6,7,11,12,13],[1,4,7,8,10,12,14],[1,5,7,8,10,11,13],[1,5,8,9,11,12,14],[2,3,6,7,8,11,14],[2,3,7,8,9,12,13],[2,4,5,7,8,13,14],[2,4,6,9,10,12,14],[2,4,8,9,11,12,13],[2,5,6,7,11,12,14],[2,5,6,9,10,11,13],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,8,10,12,13],[3,5,7,9,10,12,14],[4,6,7,8,9,10,11]]; G[8257]:=Group([(1,2)(6,8)(7,9)]); # Design 8258: autom. group order 2, simple, residual B[8258]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,9,12,13],[1,3,6,8,9,11,14],[1,4,5,6,9,13,14],[1,4,6,7,11,12,13],[1,4,7,8,10,12,14],[1,5,7,8,11,12,14],[1,5,8,9,10,11,13],[2,3,6,7,8,11,14],[2,3,7,8,9,12,13],[2,4,5,7,8,13,14],[2,4,6,9,10,12,14],[2,4,8,9,11,12,13],[2,5,6,7,10,11,13],[2,5,6,9,11,12,14],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,8,10,12,13],[3,5,7,9,10,12,14],[4,6,7,8,9,10,11]]; G[8258]:=Group([(1,2)(6,8)(7,9)]); # Design 8259: autom. group order 2, simple, residual B[8259]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,9,12,13],[1,3,6,8,9,11,14],[1,4,5,6,9,13,14],[1,4,6,7,10,12,14],[1,4,8,9,11,12,13],[1,5,7,8,10,11,13],[1,5,7,8,11,12,14],[2,3,6,7,8,11,14],[2,3,7,8,9,12,13],[2,4,5,7,8,13,14],[2,4,6,7,11,12,13],[2,4,8,9,10,12,14],[2,5,6,9,10,11,13],[2,5,6,9,11,12,14],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,8,10,12,13],[3,5,7,9,10,12,14],[4,6,7,8,9,10,11]]; G[8259]:=Group([(1,2)(6,8)(7,9)]); # Design 8260: autom. group order 2, simple, residual B[8260]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,9,12,13],[1,3,6,8,9,11,14],[1,4,5,6,9,13,14],[1,4,6,7,11,12,13],[1,4,8,9,10,12,14],[1,5,7,8,10,11,13],[1,5,7,8,11,12,14],[2,3,6,7,8,11,14],[2,3,7,8,9,12,13],[2,4,5,7,8,13,14],[2,4,6,7,10,12,14],[2,4,8,9,11,12,13],[2,5,6,9,10,11,13],[2,5,6,9,11,12,14],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,8,10,12,13],[3,5,7,9,10,12,14],[4,6,7,8,9,10,11]]; G[8260]:=Group([(1,2)(6,8)(7,9)]); # Design 8261: autom. group order 2, simple, residual B[8261]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,13],[1,4,5,6,9,13,14],[1,4,7,9,10,12,13],[1,4,7,9,11,12,14],[1,5,6,8,10,11,14],[1,5,7,8,11,12,14],[2,3,6,7,9,11,14],[2,3,7,8,9,12,14],[2,4,5,7,8,13,14],[2,4,6,8,10,12,14],[2,4,6,8,11,12,13],[2,5,6,9,11,12,13],[2,5,7,9,10,11,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,14],[3,5,7,8,10,12,13],[4,6,7,8,9,10,11]]; G[8261]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8262: autom. group order 2, simple, residual B[8262]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,13],[1,4,5,6,9,13,14],[1,4,7,9,10,12,14],[1,4,7,9,11,12,13],[1,5,6,8,10,11,14],[1,5,7,8,11,12,14],[2,3,6,7,9,11,14],[2,3,7,8,9,12,14],[2,4,5,7,8,13,14],[2,4,6,8,10,12,13],[2,4,6,8,11,12,14],[2,5,6,9,11,12,13],[2,5,7,9,10,11,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,14],[3,5,7,8,10,12,13],[4,6,7,8,9,10,11]]; G[8262]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8263: autom. group order 2, simple, residual B[8263]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,13],[1,4,5,6,9,13,14],[1,4,7,9,10,12,13],[1,4,7,9,11,12,14],[1,5,6,8,11,12,14],[1,5,7,8,10,11,14],[2,3,6,7,9,11,14],[2,3,7,8,9,12,14],[2,4,5,7,8,13,14],[2,4,6,8,10,12,14],[2,4,6,8,11,12,13],[2,5,6,9,10,11,13],[2,5,7,9,11,12,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,14],[3,5,7,8,10,12,13],[4,6,7,8,9,10,11]]; G[8263]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8264: autom. group order 2, simple, residual B[8264]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,13],[1,4,5,6,9,13,14],[1,4,7,9,10,12,14],[1,4,7,9,11,12,13],[1,5,6,8,11,12,14],[1,5,7,8,10,11,14],[2,3,6,7,9,11,14],[2,3,7,8,9,12,14],[2,4,5,7,8,13,14],[2,4,6,8,10,12,13],[2,4,6,8,11,12,14],[2,5,6,9,10,11,13],[2,5,7,9,11,12,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,14],[3,5,7,8,10,12,13],[4,6,7,8,9,10,11]]; G[8264]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8265: autom. group order 2, simple, residual B[8265]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,13],[1,4,5,6,9,13,14],[1,4,7,8,11,12,14],[1,4,7,9,10,12,13],[1,5,6,8,10,11,14],[1,5,7,9,11,12,14],[2,3,6,7,9,11,14],[2,3,7,8,9,12,14],[2,4,5,7,8,13,14],[2,4,6,8,10,12,14],[2,4,6,9,11,12,13],[2,5,6,8,11,12,13],[2,5,7,9,10,11,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,14],[3,5,7,8,10,12,13],[4,6,7,8,9,10,11]]; G[8265]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8266: autom. group order 2, simple, residual B[8266]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,13],[1,4,5,6,9,13,14],[1,4,7,8,11,12,14],[1,4,7,9,10,12,14],[1,5,6,8,10,11,14],[1,5,7,9,11,12,13],[2,3,6,7,9,11,14],[2,3,7,8,9,12,14],[2,4,5,7,8,13,14],[2,4,6,8,10,12,13],[2,4,6,9,11,12,13],[2,5,6,8,11,12,14],[2,5,7,9,10,11,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,14],[3,5,7,8,10,12,13],[4,6,7,8,9,10,11]]; G[8266]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8267: autom. group order 2, simple, residual B[8267]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,13],[1,4,5,6,9,13,14],[1,4,7,8,11,12,14],[1,4,7,9,10,12,13],[1,5,6,8,11,12,14],[1,5,7,9,10,11,14],[2,3,6,7,9,11,14],[2,3,7,8,9,12,14],[2,4,5,7,8,13,14],[2,4,6,8,10,12,14],[2,4,6,9,11,12,13],[2,5,6,8,10,11,13],[2,5,7,9,11,12,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,14],[3,5,7,8,10,12,13],[4,6,7,8,9,10,11]]; G[8267]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8268: autom. group order 2, simple, residual B[8268]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,13],[1,4,5,6,9,13,14],[1,4,7,8,11,12,14],[1,4,7,9,10,12,14],[1,5,6,8,11,12,14],[1,5,7,9,10,11,13],[2,3,6,7,9,11,14],[2,3,7,8,9,12,14],[2,4,5,7,8,13,14],[2,4,6,8,10,12,13],[2,4,6,9,11,12,13],[2,5,6,8,10,11,14],[2,5,7,9,11,12,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,14],[3,5,7,8,10,12,13],[4,6,7,8,9,10,11]]; G[8268]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8269: autom. group order 2, simple, residual B[8269]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,9,12,13],[1,3,6,8,9,11,14],[1,4,5,6,7,13,14],[1,4,7,8,10,12,14],[1,4,7,8,11,12,13],[1,5,6,9,11,12,14],[1,5,8,9,10,11,13],[2,3,6,7,8,11,14],[2,3,7,8,9,12,13],[2,4,5,8,9,13,14],[2,4,6,9,10,12,14],[2,4,6,9,11,12,13],[2,5,6,7,10,11,13],[2,5,7,8,11,12,14],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,8,10,12,13],[3,5,7,9,10,12,14],[4,6,7,8,9,10,11]]; G[8269]:=Group([(1,2)(6,8)(7,9)]); # Design 8270: autom. group order 2, simple, residual B[8270]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,9,12,13],[1,3,6,8,9,11,14],[1,4,5,6,7,13,14],[1,4,7,8,10,12,14],[1,4,8,9,11,12,13],[1,5,6,9,10,11,13],[1,5,7,8,11,12,14],[2,3,6,7,8,11,14],[2,3,7,8,9,12,13],[2,4,5,8,9,13,14],[2,4,6,7,11,12,13],[2,4,6,9,10,12,14],[2,5,6,9,11,12,14],[2,5,7,8,10,11,13],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,8,10,12,13],[3,5,7,9,10,12,14],[4,6,7,8,9,10,11]]; G[8270]:=Group([(1,2)(6,8)(7,9)]); # Design 8271: autom. group order 2, simple, residual B[8271]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,9,12,13],[1,3,6,8,9,11,14],[1,4,5,6,9,13,14],[1,4,7,8,10,12,14],[1,4,7,8,11,12,13],[1,5,6,7,11,12,14],[1,5,8,9,10,11,13],[2,3,6,7,8,11,14],[2,3,7,8,9,12,13],[2,4,5,7,8,13,14],[2,4,6,9,10,12,14],[2,4,6,9,11,12,13],[2,5,6,7,10,11,13],[2,5,8,9,11,12,14],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,8,10,12,13],[3,5,7,9,10,12,14],[4,6,7,8,9,10,11]]; G[8271]:=Group([(1,2)(6,8)(7,9)]); # Design 8272: autom. group order 2, simple, residual B[8272]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,9,12,13],[1,3,6,8,9,11,14],[1,4,5,6,9,13,14],[1,4,7,8,11,12,13],[1,4,8,9,10,12,14],[1,5,6,7,10,11,13],[1,5,7,8,11,12,14],[2,3,6,7,8,11,14],[2,3,7,8,9,12,13],[2,4,5,7,8,13,14],[2,4,6,7,10,12,14],[2,4,6,9,11,12,13],[2,5,6,9,11,12,14],[2,5,8,9,10,11,13],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,8,10,12,13],[3,5,7,9,10,12,14],[4,6,7,8,9,10,11]]; G[8272]:=Group([(1,2)(6,8)(7,9)]); # Design 8273: autom. group order 2, simple, residual B[8273]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,14],[1,4,5,7,9,13,14],[1,4,6,9,10,12,13],[1,4,7,9,11,12,14],[1,5,6,8,10,11,14],[1,5,7,8,11,12,13],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,8,11,12,13],[2,4,7,8,10,12,14],[2,5,6,9,11,12,14],[2,5,7,9,10,11,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8273]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8274: autom. group order 2, simple, residual B[8274]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,14],[1,4,5,7,9,13,14],[1,4,6,9,10,12,14],[1,4,7,9,11,12,13],[1,5,6,8,10,11,13],[1,5,7,8,11,12,14],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,8,11,12,14],[2,4,7,8,10,12,13],[2,5,6,9,11,12,13],[2,5,7,9,10,11,14],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8274]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8275: autom. group order 2, simple, residual B[8275]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,14],[1,4,5,7,9,13,14],[1,4,6,9,10,12,13],[1,4,7,9,11,12,14],[1,5,6,8,11,12,14],[1,5,7,8,10,11,13],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,8,11,12,13],[2,4,7,8,10,12,14],[2,5,6,9,10,11,14],[2,5,7,9,11,12,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8275]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8276: autom. group order 2, simple, residual B[8276]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,14],[1,4,5,7,9,13,14],[1,4,6,9,10,12,14],[1,4,7,9,11,12,13],[1,5,6,8,11,12,13],[1,5,7,8,10,11,14],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,8,11,12,14],[2,4,7,8,10,12,13],[2,5,6,9,10,11,13],[2,5,7,9,11,12,14],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8276]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8277: autom. group order 2, simple, residual B[8277]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,14],[1,4,5,7,9,13,14],[1,4,6,9,11,12,13],[1,4,7,9,10,12,14],[1,5,6,8,10,11,14],[1,5,7,8,11,12,13],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,8,10,12,13],[2,4,7,8,11,12,14],[2,5,6,9,11,12,14],[2,5,7,9,10,11,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8277]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8278: autom. group order 2, simple, residual B[8278]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,14],[1,4,5,7,9,13,14],[1,4,6,9,11,12,14],[1,4,7,9,10,12,13],[1,5,6,8,10,11,13],[1,5,7,8,11,12,14],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,8,10,12,14],[2,4,7,8,11,12,13],[2,5,6,9,11,12,13],[2,5,7,9,10,11,14],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8278]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8279: autom. group order 2, simple, residual B[8279]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,14],[1,4,5,7,9,13,14],[1,4,6,9,11,12,13],[1,4,7,9,10,12,14],[1,5,6,8,11,12,14],[1,5,7,8,10,11,13],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,8,10,12,13],[2,4,7,8,11,12,14],[2,5,6,9,10,11,14],[2,5,7,9,11,12,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8279]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8280: autom. group order 2, simple, residual B[8280]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,14],[1,4,5,7,9,13,14],[1,4,6,9,11,12,14],[1,4,7,9,10,12,13],[1,5,6,8,11,12,13],[1,5,7,8,10,11,14],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,8,10,12,14],[2,4,7,8,11,12,13],[2,5,6,9,10,11,13],[2,5,7,9,11,12,14],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8280]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8281: autom. group order 2, simple, residual B[8281]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,14],[1,4,5,7,9,13,14],[1,4,6,9,10,12,13],[1,4,7,8,11,12,13],[1,5,6,8,10,11,14],[1,5,7,9,11,12,14],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,9,11,12,14],[2,4,7,8,10,12,14],[2,5,6,8,11,12,13],[2,5,7,9,10,11,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8281]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8282: autom. group order 2, simple, residual B[8282]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,14],[1,4,5,7,9,13,14],[1,4,6,9,10,12,14],[1,4,7,8,11,12,14],[1,5,6,8,10,11,13],[1,5,7,9,11,12,13],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,9,11,12,13],[2,4,7,8,10,12,13],[2,5,6,8,11,12,14],[2,5,7,9,10,11,14],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8282]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8283: autom. group order 2, simple, residual B[8283]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,14],[1,4,5,7,9,13,14],[1,4,6,9,10,12,13],[1,4,7,8,11,12,13],[1,5,6,8,11,12,14],[1,5,7,9,10,11,14],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,9,11,12,14],[2,4,7,8,10,12,14],[2,5,6,8,10,11,13],[2,5,7,9,11,12,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8283]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8284: autom. group order 2, simple, residual B[8284]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,14],[1,4,5,7,9,13,14],[1,4,6,9,10,12,14],[1,4,7,8,11,12,14],[1,5,6,8,11,12,13],[1,5,7,9,10,11,13],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,9,11,12,13],[2,4,7,8,10,12,13],[2,5,6,8,10,11,14],[2,5,7,9,11,12,14],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8284]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8285: autom. group order 2, simple, residual B[8285]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,14],[1,4,5,7,9,13,14],[1,4,6,9,11,12,13],[1,4,7,8,10,12,13],[1,5,6,8,10,11,14],[1,5,7,9,11,12,14],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,9,10,12,14],[2,4,7,8,11,12,14],[2,5,6,8,11,12,13],[2,5,7,9,10,11,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8285]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8286: autom. group order 2, simple, residual B[8286]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,14],[1,4,5,7,9,13,14],[1,4,6,9,11,12,14],[1,4,7,8,10,12,14],[1,5,6,8,10,11,13],[1,5,7,9,11,12,13],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,9,10,12,13],[2,4,7,8,11,12,13],[2,5,6,8,11,12,14],[2,5,7,9,10,11,14],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8286]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8287: autom. group order 2, simple, residual B[8287]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,14],[1,4,5,7,9,13,14],[1,4,6,9,11,12,13],[1,4,7,8,10,12,13],[1,5,6,8,11,12,14],[1,5,7,9,10,11,14],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,9,10,12,14],[2,4,7,8,11,12,14],[2,5,6,8,10,11,13],[2,5,7,9,11,12,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8287]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8288: autom. group order 2, simple, residual B[8288]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,14],[1,4,5,7,9,13,14],[1,4,6,9,11,12,14],[1,4,7,8,10,12,14],[1,5,6,8,11,12,13],[1,5,7,9,10,11,13],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,9,10,12,13],[2,4,7,8,11,12,13],[2,5,6,8,10,11,14],[2,5,7,9,11,12,14],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8288]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8289: autom. group order 2, simple, residual B[8289]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,14],[1,4,5,7,9,13,14],[1,4,6,8,10,12,13],[1,4,7,9,11,12,13],[1,5,6,9,10,11,14],[1,5,7,8,11,12,14],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,8,11,12,14],[2,4,7,9,10,12,14],[2,5,6,9,11,12,13],[2,5,7,8,10,11,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8289]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8290: autom. group order 2, simple, residual B[8290]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,14],[1,4,5,7,9,13,14],[1,4,6,8,10,12,14],[1,4,7,9,11,12,14],[1,5,6,9,10,11,13],[1,5,7,8,11,12,13],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,8,11,12,13],[2,4,7,9,10,12,13],[2,5,6,9,11,12,14],[2,5,7,8,10,11,14],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8290]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8291: autom. group order 2, simple, residual B[8291]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,14],[1,4,5,7,9,13,14],[1,4,6,8,10,12,13],[1,4,7,9,11,12,13],[1,5,6,9,11,12,14],[1,5,7,8,10,11,14],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,8,11,12,14],[2,4,7,9,10,12,14],[2,5,6,9,10,11,13],[2,5,7,8,11,12,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8291]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8292: autom. group order 2, simple, residual B[8292]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,14],[1,4,5,7,9,13,14],[1,4,6,8,10,12,14],[1,4,7,9,11,12,14],[1,5,6,9,11,12,13],[1,5,7,8,10,11,13],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,8,11,12,13],[2,4,7,9,10,12,13],[2,5,6,9,10,11,14],[2,5,7,8,11,12,14],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8292]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8293: autom. group order 2, simple, residual B[8293]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,14],[1,4,5,7,9,13,14],[1,4,6,8,11,12,13],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,5,7,8,11,12,14],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,8,10,12,14],[2,4,7,9,11,12,14],[2,5,6,9,11,12,13],[2,5,7,8,10,11,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8293]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8294: autom. group order 2, simple, residual B[8294]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,14],[1,4,5,7,9,13,14],[1,4,6,8,11,12,14],[1,4,7,9,10,12,14],[1,5,6,9,10,11,13],[1,5,7,8,11,12,13],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,8,10,12,13],[2,4,7,9,11,12,13],[2,5,6,9,11,12,14],[2,5,7,8,10,11,14],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8294]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8295: autom. group order 2, simple, residual B[8295]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,14],[1,4,5,7,9,13,14],[1,4,6,8,11,12,13],[1,4,7,9,10,12,13],[1,5,6,9,11,12,14],[1,5,7,8,10,11,14],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,8,10,12,14],[2,4,7,9,11,12,14],[2,5,6,9,10,11,13],[2,5,7,8,11,12,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8295]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8296: autom. group order 2, simple, residual B[8296]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,14],[1,4,5,7,9,13,14],[1,4,6,8,11,12,14],[1,4,7,9,10,12,14],[1,5,6,9,11,12,13],[1,5,7,8,10,11,13],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,8,10,12,13],[2,4,7,9,11,12,13],[2,5,6,9,10,11,14],[2,5,7,8,11,12,14],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8296]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8297: autom. group order 2, simple, residual B[8297]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,14],[1,4,5,7,9,13,14],[1,4,6,8,10,12,13],[1,4,7,8,11,12,14],[1,5,6,9,10,11,14],[1,5,7,9,11,12,13],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,9,11,12,13],[2,4,7,9,10,12,14],[2,5,6,8,11,12,14],[2,5,7,8,10,11,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8297]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8298: autom. group order 2, simple, residual B[8298]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,14],[1,4,5,7,9,13,14],[1,4,6,8,10,12,14],[1,4,7,8,11,12,13],[1,5,6,9,10,11,13],[1,5,7,9,11,12,14],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,9,11,12,14],[2,4,7,9,10,12,13],[2,5,6,8,11,12,13],[2,5,7,8,10,11,14],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8298]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8299: autom. group order 2, simple, residual B[8299]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,14],[1,4,5,7,9,13,14],[1,4,6,8,10,12,13],[1,4,7,8,11,12,14],[1,5,6,9,11,12,14],[1,5,7,9,10,11,13],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,9,11,12,13],[2,4,7,9,10,12,14],[2,5,6,8,10,11,14],[2,5,7,8,11,12,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8299]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8300: autom. group order 2, simple, residual B[8300]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,14],[1,4,5,7,9,13,14],[1,4,6,8,10,12,14],[1,4,7,8,11,12,13],[1,5,6,9,11,12,13],[1,5,7,9,10,11,14],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,9,11,12,14],[2,4,7,9,10,12,13],[2,5,6,8,10,11,13],[2,5,7,8,11,12,14],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8300]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8301: autom. group order 2, simple, residual B[8301]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,14],[1,4,5,7,9,13,14],[1,4,6,8,11,12,13],[1,4,7,8,10,12,14],[1,5,6,9,10,11,14],[1,5,7,9,11,12,13],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,9,10,12,13],[2,4,7,9,11,12,14],[2,5,6,8,11,12,14],[2,5,7,8,10,11,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8301]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8302: autom. group order 2, simple, residual B[8302]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,14],[1,4,5,7,9,13,14],[1,4,6,8,11,12,14],[1,4,7,8,10,12,13],[1,5,6,9,10,11,13],[1,5,7,9,11,12,14],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,9,10,12,14],[2,4,7,9,11,12,13],[2,5,6,8,11,12,13],[2,5,7,8,10,11,14],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8302]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8303: autom. group order 2, simple, residual B[8303]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,14],[1,4,5,7,9,13,14],[1,4,6,8,11,12,13],[1,4,7,8,10,12,14],[1,5,6,9,11,12,14],[1,5,7,9,10,11,13],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,9,10,12,13],[2,4,7,9,11,12,14],[2,5,6,8,10,11,14],[2,5,7,8,11,12,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8303]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8304: autom. group order 2, simple, residual B[8304]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,14],[1,4,5,7,9,13,14],[1,4,6,8,11,12,14],[1,4,7,8,10,12,13],[1,5,6,9,11,12,13],[1,5,7,9,10,11,14],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,9,10,12,14],[2,4,7,9,11,12,13],[2,5,6,8,10,11,13],[2,5,7,8,11,12,14],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8304]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8305: autom. group order 2, simple, residual B[8305]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,13],[1,4,5,7,8,13,14],[1,4,6,9,11,12,14],[1,4,7,9,10,12,13],[1,5,6,8,10,11,14],[1,5,7,9,11,12,14],[2,3,6,7,9,11,14],[2,3,7,8,9,12,14],[2,4,5,6,9,13,14],[2,4,6,8,10,12,14],[2,4,7,8,11,12,13],[2,5,6,8,11,12,13],[2,5,7,9,10,11,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8305]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8306: autom. group order 2, simple, residual B[8306]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,13],[1,4,5,7,8,13,14],[1,4,6,9,11,12,14],[1,4,7,9,10,12,14],[1,5,6,8,10,11,14],[1,5,7,9,11,12,13],[2,3,6,7,9,11,14],[2,3,7,8,9,12,14],[2,4,5,6,9,13,14],[2,4,6,8,10,12,13],[2,4,7,8,11,12,13],[2,5,6,8,11,12,14],[2,5,7,9,10,11,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8306]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8307: autom. group order 2, simple, residual B[8307]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,13],[1,4,5,7,8,13,14],[1,4,6,9,11,12,14],[1,4,7,9,10,12,13],[1,5,6,8,11,12,14],[1,5,7,9,10,11,14],[2,3,6,7,9,11,14],[2,3,7,8,9,12,14],[2,4,5,6,9,13,14],[2,4,6,8,10,12,14],[2,4,7,8,11,12,13],[2,5,6,8,10,11,13],[2,5,7,9,11,12,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8307]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8308: autom. group order 2, simple, residual B[8308]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,13],[1,4,5,7,8,13,14],[1,4,6,9,11,12,14],[1,4,7,9,10,12,14],[1,5,6,8,11,12,14],[1,5,7,9,10,11,13],[2,3,6,7,9,11,14],[2,3,7,8,9,12,14],[2,4,5,6,9,13,14],[2,4,6,8,10,12,13],[2,4,7,8,11,12,13],[2,5,6,8,10,11,14],[2,5,7,9,11,12,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8308]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8309: autom. group order 2, simple, residual B[8309]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,13],[1,4,5,7,8,13,14],[1,4,6,8,10,12,14],[1,4,7,9,11,12,13],[1,5,6,9,10,11,14],[1,5,7,9,11,12,14],[2,3,6,7,9,11,14],[2,3,7,8,9,12,14],[2,4,5,6,9,13,14],[2,4,6,8,11,12,14],[2,4,7,9,10,12,13],[2,5,6,8,11,12,13],[2,5,7,8,10,11,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8309]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8310: autom. group order 2, simple, residual B[8310]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,13],[1,4,5,7,8,13,14],[1,4,6,8,10,12,14],[1,4,7,9,11,12,14],[1,5,6,9,10,11,14],[1,5,7,9,11,12,13],[2,3,6,7,9,11,14],[2,3,7,8,9,12,14],[2,4,5,6,9,13,14],[2,4,6,8,11,12,13],[2,4,7,9,10,12,13],[2,5,6,8,11,12,14],[2,5,7,8,10,11,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8310]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8311: autom. group order 2, simple, residual B[8311]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,13],[1,4,5,7,8,13,14],[1,4,6,8,10,12,14],[1,4,7,9,11,12,13],[1,5,6,9,11,12,14],[1,5,7,9,10,11,14],[2,3,6,7,9,11,14],[2,3,7,8,9,12,14],[2,4,5,6,9,13,14],[2,4,6,8,11,12,14],[2,4,7,9,10,12,13],[2,5,6,8,10,11,13],[2,5,7,8,11,12,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8311]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8312: autom. group order 2, simple, residual B[8312]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,13],[1,4,5,7,8,13,14],[1,4,6,8,10,12,14],[1,4,7,9,11,12,14],[1,5,6,9,11,12,14],[1,5,7,9,10,11,13],[2,3,6,7,9,11,14],[2,3,7,8,9,12,14],[2,4,5,6,9,13,14],[2,4,6,8,11,12,13],[2,4,7,9,10,12,13],[2,5,6,8,10,11,14],[2,5,7,8,11,12,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8312]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8313: autom. group order 2, simple, residual B[8313]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,13],[1,4,5,7,8,13,14],[1,4,6,8,11,12,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,14],[1,5,7,9,11,12,14],[2,3,6,7,9,11,14],[2,3,7,8,9,12,14],[2,4,5,6,9,13,14],[2,4,6,8,10,12,14],[2,4,7,9,11,12,13],[2,5,6,8,11,12,13],[2,5,7,8,10,11,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8313]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8314: autom. group order 2, simple, residual B[8314]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,13],[1,4,5,7,8,13,14],[1,4,6,8,11,12,14],[1,4,7,9,10,12,14],[1,5,6,9,10,11,14],[1,5,7,9,11,12,13],[2,3,6,7,9,11,14],[2,3,7,8,9,12,14],[2,4,5,6,9,13,14],[2,4,6,8,10,12,13],[2,4,7,9,11,12,13],[2,5,6,8,11,12,14],[2,5,7,8,10,11,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8314]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8315: autom. group order 2, simple, residual B[8315]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,13],[1,4,5,7,8,13,14],[1,4,6,8,11,12,14],[1,4,7,9,10,12,13],[1,5,6,9,11,12,14],[1,5,7,9,10,11,14],[2,3,6,7,9,11,14],[2,3,7,8,9,12,14],[2,4,5,6,9,13,14],[2,4,6,8,10,12,14],[2,4,7,9,11,12,13],[2,5,6,8,10,11,13],[2,5,7,8,11,12,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8315]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8316: autom. group order 2, simple, residual B[8316]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,13],[1,4,5,7,8,13,14],[1,4,6,8,11,12,14],[1,4,7,9,10,12,14],[1,5,6,9,11,12,14],[1,5,7,9,10,11,13],[2,3,6,7,9,11,14],[2,3,7,8,9,12,14],[2,4,5,6,9,13,14],[2,4,6,8,10,12,13],[2,4,7,9,11,12,13],[2,5,6,8,10,11,14],[2,5,7,8,11,12,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8316]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8317: autom. group order 2, simple, residual B[8317]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,9,12,13],[1,3,6,8,9,11,14],[1,4,5,7,8,13,14],[1,4,6,7,10,12,14],[1,4,7,8,11,12,13],[1,5,6,9,11,12,14],[1,5,8,9,10,11,13],[2,3,6,7,8,11,14],[2,3,7,8,9,12,13],[2,4,5,6,9,13,14],[2,4,6,9,11,12,13],[2,4,8,9,10,12,14],[2,5,6,7,10,11,13],[2,5,7,8,11,12,14],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,8,10,12,13],[3,5,7,9,10,12,14],[4,6,7,8,9,10,11]]; G[8317]:=Group([(1,2)(6,8)(7,9)]); # Design 8318: autom. group order 2, simple, residual B[8318]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,9,12,13],[1,3,6,8,9,11,14],[1,4,5,7,8,13,14],[1,4,6,7,11,12,13],[1,4,7,8,10,12,14],[1,5,6,9,11,12,14],[1,5,8,9,10,11,13],[2,3,6,7,8,11,14],[2,3,7,8,9,12,13],[2,4,5,6,9,13,14],[2,4,6,9,10,12,14],[2,4,8,9,11,12,13],[2,5,6,7,10,11,13],[2,5,7,8,11,12,14],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,8,10,12,13],[3,5,7,9,10,12,14],[4,6,7,8,9,10,11]]; G[8318]:=Group([(1,2)(6,8)(7,9)]); # Design 8319: autom. group order 2, simple, residual B[8319]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,11,14],[1,4,5,7,9,13,14],[1,4,6,7,10,12,13],[1,4,8,9,10,12,14],[1,5,6,7,11,12,14],[1,5,8,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,14],[2,5,6,9,10,11,14],[2,5,7,8,10,11,13],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8319]:=Group([(6,8)(7,9)(13,14)]); # Design 8320: autom. group order 2, simple, residual B[8320]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,11,14],[1,4,5,7,9,13,14],[1,4,6,7,10,12,13],[1,4,8,9,10,12,14],[1,5,6,7,11,12,14],[1,5,8,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,9,11,12,14],[2,4,7,8,11,12,13],[2,5,6,9,10,11,13],[2,5,7,8,10,11,14],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8320]:=Group([(6,8)(7,9)(13,14)]); # Design 8321: autom. group order 2, simple, residual B[8321]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,11,14],[1,4,5,7,9,13,14],[1,4,6,7,10,12,14],[1,4,8,9,10,12,13],[1,5,6,7,11,12,13],[1,5,8,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,14],[2,5,6,9,10,11,14],[2,5,7,8,10,11,13],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8321]:=Group([(6,8)(7,9)(13,14)]); # Design 8322: autom. group order 2, simple, residual B[8322]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,11,14],[1,4,5,7,9,13,14],[1,4,6,7,10,12,14],[1,4,8,9,10,12,13],[1,5,6,7,11,12,13],[1,5,8,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,9,11,12,14],[2,4,7,8,11,12,13],[2,5,6,9,10,11,13],[2,5,7,8,10,11,14],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8322]:=Group([(6,8)(7,9)(13,14)]); # Design 8323: autom. group order 2, simple, residual B[8323]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,11,14],[1,4,5,7,9,13,14],[1,4,6,7,10,12,13],[1,4,8,9,10,12,14],[1,5,6,9,11,12,13],[1,5,7,8,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,7,11,12,14],[2,4,8,9,11,12,13],[2,5,6,9,10,11,14],[2,5,7,8,10,11,13],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8323]:=Group([(6,8)(7,9)(13,14)]); # Design 8324: autom. group order 2, simple, residual B[8324]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,11,14],[1,4,5,7,9,13,14],[1,4,6,7,10,12,14],[1,4,8,9,10,12,13],[1,5,6,9,11,12,13],[1,5,7,8,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,7,11,12,13],[2,4,8,9,11,12,14],[2,5,6,9,10,11,14],[2,5,7,8,10,11,13],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8324]:=Group([(6,8)(7,9)(13,14)]); # Design 8325: autom. group order 2, simple, residual B[8325]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,11,14],[1,4,5,7,9,13,14],[1,4,6,7,10,12,14],[1,4,8,9,10,12,13],[1,5,6,9,11,12,14],[1,5,7,8,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,7,11,12,13],[2,4,8,9,11,12,14],[2,5,6,9,10,11,13],[2,5,7,8,10,11,14],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8325]:=Group([(6,8)(7,9)(13,14)]); # Design 8326: autom. group order 2, simple, residual B[8326]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,11,14],[1,4,5,7,9,13,14],[1,4,6,7,10,12,13],[1,4,8,9,10,12,14],[1,5,6,9,11,12,13],[1,5,7,8,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,9,11,12,14],[2,4,7,8,11,12,13],[2,5,6,7,10,11,14],[2,5,8,9,10,11,13],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8326]:=Group([(6,8)(7,9)(13,14)]); # Design 8327: autom. group order 2, simple, residual B[8327]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,11,14],[1,4,5,7,9,13,14],[1,4,6,7,10,12,14],[1,4,8,9,10,12,13],[1,5,6,9,11,12,13],[1,5,7,8,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,9,11,12,14],[2,4,7,8,11,12,13],[2,5,6,7,10,11,13],[2,5,8,9,10,11,14],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8327]:=Group([(6,8)(7,9)(13,14)]); # Design 8328: autom. group order 2, simple, residual B[8328]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,11,14],[1,4,5,7,9,13,14],[1,4,6,7,10,12,14],[1,4,8,9,10,12,13],[1,5,6,9,11,12,14],[1,5,7,8,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,14],[2,5,6,7,10,11,13],[2,5,8,9,10,11,14],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8328]:=Group([(6,8)(7,9)(13,14)]); # Design 8329: autom. group order 2, simple, residual B[8329]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,11,14],[1,4,5,7,9,13,14],[1,4,6,9,10,12,13],[1,4,7,8,10,12,14],[1,5,6,7,11,12,13],[1,5,8,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,7,11,12,14],[2,4,8,9,11,12,13],[2,5,6,9,10,11,14],[2,5,7,8,10,11,13],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8329]:=Group([(6,8)(7,9)(13,14)]); # Design 8330: autom. group order 2, simple, residual B[8330]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,11,14],[1,4,5,7,9,13,14],[1,4,6,9,10,12,13],[1,4,7,8,10,12,14],[1,5,6,7,11,12,14],[1,5,8,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,7,11,12,13],[2,4,8,9,11,12,14],[2,5,6,9,10,11,14],[2,5,7,8,10,11,13],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8330]:=Group([(6,8)(7,9)(13,14)]); # Design 8331: autom. group order 2, simple, residual B[8331]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,11,14],[1,4,5,7,9,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,12,13],[1,5,6,7,11,12,14],[1,5,8,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,7,11,12,13],[2,4,8,9,11,12,14],[2,5,6,9,10,11,13],[2,5,7,8,10,11,14],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8331]:=Group([(6,8)(7,9)(13,14)]); # Design 8332: autom. group order 2, simple, residual B[8332]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,11,14],[1,4,5,7,9,13,14],[1,4,6,9,10,12,13],[1,4,7,8,10,12,14],[1,5,6,7,11,12,13],[1,5,8,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,9,11,12,14],[2,4,7,8,11,12,13],[2,5,6,7,10,11,14],[2,5,8,9,10,11,13],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8332]:=Group([(6,8)(7,9)(13,14)]); # Design 8333: autom. group order 2, simple, residual B[8333]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,11,14],[1,4,5,7,9,13,14],[1,4,6,9,10,12,13],[1,4,7,8,10,12,14],[1,5,6,7,11,12,14],[1,5,8,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,9,11,12,14],[2,4,7,8,11,12,13],[2,5,6,7,10,11,13],[2,5,8,9,10,11,14],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8333]:=Group([(6,8)(7,9)(13,14)]); # Design 8334: autom. group order 2, simple, residual B[8334]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,11,14],[1,4,5,7,9,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,12,13],[1,5,6,7,11,12,14],[1,5,8,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,14],[2,5,6,7,10,11,13],[2,5,8,9,10,11,14],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8334]:=Group([(6,8)(7,9)(13,14)]); # Design 8335: autom. group order 2, simple, residual B[8335]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,11,14],[1,4,5,7,9,13,14],[1,4,6,9,10,12,13],[1,4,7,8,10,12,14],[1,5,6,7,11,12,13],[1,5,8,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,14],[2,5,6,9,10,11,14],[2,5,7,8,10,11,13],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,7,10,12,14],[3,5,8,9,10,12,13],[4,6,7,8,9,10,11]]; G[8335]:=Group([(6,8)(7,9)(13,14)]); # Design 8336: autom. group order 2, simple, residual B[8336]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,11,14],[1,4,5,7,9,13,14],[1,4,6,9,10,12,13],[1,4,7,8,10,12,14],[1,5,6,7,11,12,13],[1,5,8,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,9,11,12,14],[2,4,7,8,11,12,13],[2,5,6,9,10,11,13],[2,5,7,8,10,11,14],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,7,10,12,14],[3,5,8,9,10,12,13],[4,6,7,8,9,10,11]]; G[8336]:=Group([(6,8)(7,9)(13,14)]); # Design 8337: autom. group order 2, simple, residual B[8337]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,11,14],[1,4,5,7,9,13,14],[1,4,6,9,10,12,13],[1,4,7,8,10,12,14],[1,5,6,7,11,12,14],[1,5,8,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,14],[2,5,6,9,10,11,14],[2,5,7,8,10,11,13],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,7,10,12,13],[3,5,8,9,10,12,14],[4,6,7,8,9,10,11]]; G[8337]:=Group([(6,8)(7,9)(13,14)]); # Design 8338: autom. group order 2, simple, residual B[8338]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,11,14],[1,4,5,7,9,13,14],[1,4,6,9,10,12,13],[1,4,7,8,10,12,14],[1,5,6,7,11,12,14],[1,5,8,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,9,11,12,14],[2,4,7,8,11,12,13],[2,5,6,9,10,11,13],[2,5,7,8,10,11,14],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,7,10,12,13],[3,5,8,9,10,12,14],[4,6,7,8,9,10,11]]; G[8338]:=Group([(6,8)(7,9)(13,14)]); # Design 8339: autom. group order 2, simple, residual B[8339]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,11,14],[1,4,5,7,9,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,12,13],[1,5,6,7,11,12,14],[1,5,8,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,14],[2,5,6,9,10,11,13],[2,5,7,8,10,11,14],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,7,10,12,13],[3,5,8,9,10,12,14],[4,6,7,8,9,10,11]]; G[8339]:=Group([(6,8)(7,9)(13,14)]); # Design 8340: autom. group order 2, simple, residual B[8340]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,11,14],[1,4,5,7,9,13,14],[1,4,6,9,10,12,13],[1,4,7,8,10,12,14],[1,5,6,9,11,12,14],[1,5,7,8,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,7,11,12,13],[2,4,8,9,11,12,14],[2,5,6,7,10,11,14],[2,5,8,9,10,11,13],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8340]:=Group([(6,8)(7,9)(13,14)]); # Design 8341: autom. group order 2, simple, residual B[8341]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,11,14],[1,4,5,7,9,13,14],[1,4,6,9,10,12,13],[1,4,7,8,10,12,14],[1,5,6,9,11,12,14],[1,5,7,8,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,7,11,12,14],[2,4,8,9,11,12,13],[2,5,6,7,10,11,13],[2,5,8,9,10,11,14],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8341]:=Group([(6,8)(7,9)(13,14)]); # Design 8342: autom. group order 2, simple, residual B[8342]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,11,14],[1,4,5,7,9,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,12,13],[1,5,6,9,11,12,13],[1,5,7,8,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,7,11,12,13],[2,4,8,9,11,12,14],[2,5,6,7,10,11,14],[2,5,8,9,10,11,13],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8342]:=Group([(6,8)(7,9)(13,14)]); # Design 8343: autom. group order 2, simple, residual B[8343]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,11,14],[1,4,5,7,9,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,12,13],[1,5,6,9,11,12,13],[1,5,7,8,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,7,11,12,14],[2,4,8,9,11,12,13],[2,5,6,7,10,11,13],[2,5,8,9,10,11,14],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8343]:=Group([(6,8)(7,9)(13,14)]); # Design 8344: autom. group order 2, simple, residual B[8344]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,11,14],[1,4,5,7,9,13,14],[1,4,6,9,10,12,13],[1,4,7,8,10,12,14],[1,5,6,9,11,12,13],[1,5,7,8,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,7,11,12,13],[2,4,8,9,11,12,14],[2,5,6,9,10,11,14],[2,5,7,8,10,11,13],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,7,10,12,14],[3,5,8,9,10,12,13],[4,6,7,8,9,10,11]]; G[8344]:=Group([(6,8)(7,9)(13,14)]); # Design 8345: autom. group order 2, simple, residual B[8345]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,11,14],[1,4,5,7,9,13,14],[1,4,6,9,10,12,13],[1,4,7,8,10,12,14],[1,5,6,9,11,12,13],[1,5,7,8,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,7,11,12,14],[2,4,8,9,11,12,13],[2,5,6,9,10,11,14],[2,5,7,8,10,11,13],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,7,10,12,13],[3,5,8,9,10,12,14],[4,6,7,8,9,10,11]]; G[8345]:=Group([(6,8)(7,9)(13,14)]); # Design 8346: autom. group order 2, simple, residual B[8346]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,11,14],[1,4,5,7,9,13,14],[1,4,6,9,10,12,13],[1,4,7,8,10,12,14],[1,5,6,9,11,12,14],[1,5,7,8,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,7,11,12,13],[2,4,8,9,11,12,14],[2,5,6,9,10,11,13],[2,5,7,8,10,11,14],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,7,10,12,14],[3,5,8,9,10,12,13],[4,6,7,8,9,10,11]]; G[8346]:=Group([(6,8)(7,9)(13,14)]); # Design 8347: autom. group order 2, simple, residual B[8347]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,11,14],[1,4,5,7,9,13,14],[1,4,6,9,10,12,13],[1,4,7,8,10,12,14],[1,5,6,9,11,12,14],[1,5,7,8,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,7,11,12,14],[2,4,8,9,11,12,13],[2,5,6,9,10,11,13],[2,5,7,8,10,11,14],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,7,10,12,13],[3,5,8,9,10,12,14],[4,6,7,8,9,10,11]]; G[8347]:=Group([(6,8)(7,9)(13,14)]); # Design 8348: autom. group order 2, simple, residual B[8348]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,11,14],[1,4,5,7,9,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,12,13],[1,5,6,9,11,12,13],[1,5,7,8,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,7,11,12,13],[2,4,8,9,11,12,14],[2,5,6,9,10,11,13],[2,5,7,8,10,11,14],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,7,10,12,14],[3,5,8,9,10,12,13],[4,6,7,8,9,10,11]]; G[8348]:=Group([(6,8)(7,9)(13,14)]); # Design 8349: autom. group order 2, simple, residual B[8349]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,11,14],[1,4,5,7,9,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,12,13],[1,5,6,9,11,12,13],[1,5,7,8,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,7,11,12,14],[2,4,8,9,11,12,13],[2,5,6,9,10,11,13],[2,5,7,8,10,11,14],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,7,10,12,13],[3,5,8,9,10,12,14],[4,6,7,8,9,10,11]]; G[8349]:=Group([(6,8)(7,9)(13,14)]); # Design 8350: autom. group order 2, simple, residual B[8350]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,11,14],[1,4,5,7,9,13,14],[1,4,6,9,10,12,13],[1,4,7,8,10,12,14],[1,5,6,9,11,12,13],[1,5,7,8,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,9,11,12,14],[2,4,7,8,11,12,13],[2,5,6,7,10,11,13],[2,5,8,9,10,11,14],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,7,10,12,14],[3,5,8,9,10,12,13],[4,6,7,8,9,10,11]]; G[8350]:=Group([(6,8)(7,9)(13,14)]); # Design 8351: autom. group order 2, simple, residual B[8351]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,11,14],[1,4,5,7,9,13,14],[1,4,6,9,10,12,13],[1,4,7,8,10,12,14],[1,5,6,9,11,12,13],[1,5,7,8,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,9,11,12,14],[2,4,7,8,11,12,13],[2,5,6,7,10,11,14],[2,5,8,9,10,11,13],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,7,10,12,13],[3,5,8,9,10,12,14],[4,6,7,8,9,10,11]]; G[8351]:=Group([(6,8)(7,9)(13,14)]); # Design 8352: autom. group order 2, simple, residual B[8352]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,11,14],[1,4,5,7,9,13,14],[1,4,6,9,10,12,13],[1,4,7,8,10,12,14],[1,5,6,9,11,12,14],[1,5,7,8,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,14],[2,5,6,7,10,11,13],[2,5,8,9,10,11,14],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,7,10,12,14],[3,5,8,9,10,12,13],[4,6,7,8,9,10,11]]; G[8352]:=Group([(6,8)(7,9)(13,14)]); # Design 8353: autom. group order 2, simple, residual B[8353]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,11,14],[1,4,5,7,9,13,14],[1,4,6,9,10,12,13],[1,4,7,8,10,12,14],[1,5,6,9,11,12,14],[1,5,7,8,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,14],[2,5,6,7,10,11,14],[2,5,8,9,10,11,13],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,7,10,12,13],[3,5,8,9,10,12,14],[4,6,7,8,9,10,11]]; G[8353]:=Group([(6,8)(7,9)(13,14)]); # Design 8354: autom. group order 2, simple, residual B[8354]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,11,14],[1,4,5,7,9,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,12,13],[1,5,6,9,11,12,13],[1,5,7,8,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,14],[2,5,6,7,10,11,13],[2,5,8,9,10,11,14],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,7,10,12,14],[3,5,8,9,10,12,13],[4,6,7,8,9,10,11]]; G[8354]:=Group([(6,8)(7,9)(13,14)]); # Design 8355: autom. group order 2, simple, residual B[8355]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,7,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,11,14],[1,4,5,7,9,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,12,13],[1,5,6,9,11,12,13],[1,5,7,8,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,14],[2,5,6,7,10,11,14],[2,5,8,9,10,11,13],[3,4,5,7,9,10,11],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,7,10,12,13],[3,5,8,9,10,12,14],[4,6,7,8,9,10,11]]; G[8355]:=Group([(6,8)(7,9)(13,14)]); # Design 8356: autom. group order 2, simple, residual B[8356]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,14],[1,4,5,7,9,13,14],[1,4,7,8,10,12,13],[1,4,7,9,11,12,14],[1,5,6,8,10,11,14],[1,5,6,9,11,12,13],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,12,14],[2,5,7,8,11,12,14],[2,5,7,9,10,11,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8356]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8357: autom. group order 2, simple, residual B[8357]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,14],[1,4,5,7,9,13,14],[1,4,7,8,10,12,14],[1,4,7,9,11,12,13],[1,5,6,8,10,11,13],[1,5,6,9,11,12,14],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,8,11,12,14],[2,4,6,9,10,12,13],[2,5,7,8,11,12,13],[2,5,7,9,10,11,14],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8357]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8358: autom. group order 2, simple, residual B[8358]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,14],[1,4,5,7,9,13,14],[1,4,7,8,10,12,13],[1,4,7,9,11,12,14],[1,5,6,8,11,12,14],[1,5,6,9,10,11,13],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,8,11,12,13],[2,4,6,9,10,12,14],[2,5,7,8,10,11,14],[2,5,7,9,11,12,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8358]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8359: autom. group order 2, simple, residual B[8359]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,14],[1,4,5,7,9,13,14],[1,4,7,8,10,12,14],[1,4,7,9,11,12,13],[1,5,6,8,11,12,13],[1,5,6,9,10,11,14],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,8,11,12,14],[2,4,6,9,10,12,13],[2,5,7,8,10,11,13],[2,5,7,9,11,12,14],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8359]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8360: autom. group order 2, simple, residual B[8360]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,14],[1,4,5,7,9,13,14],[1,4,7,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,8,10,11,14],[1,5,6,9,11,12,13],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,8,10,12,13],[2,4,6,9,11,12,14],[2,5,7,8,11,12,14],[2,5,7,9,10,11,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8360]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8361: autom. group order 2, simple, residual B[8361]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,14],[1,4,5,7,9,13,14],[1,4,7,8,11,12,14],[1,4,7,9,10,12,13],[1,5,6,8,10,11,13],[1,5,6,9,11,12,14],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,8,10,12,14],[2,4,6,9,11,12,13],[2,5,7,8,11,12,13],[2,5,7,9,10,11,14],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8361]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8362: autom. group order 2, simple, residual B[8362]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,14],[1,4,5,7,9,13,14],[1,4,7,8,11,12,13],[1,4,7,9,10,12,14],[1,5,6,8,11,12,14],[1,5,6,9,10,11,13],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,8,10,12,13],[2,4,6,9,11,12,14],[2,5,7,8,10,11,14],[2,5,7,9,11,12,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8362]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8363: autom. group order 2, simple, residual B[8363]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,14],[1,4,5,7,9,13,14],[1,4,7,8,11,12,14],[1,4,7,9,10,12,13],[1,5,6,8,11,12,13],[1,5,6,9,10,11,14],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,8,10,12,14],[2,4,6,9,11,12,13],[2,5,7,8,10,11,13],[2,5,7,9,11,12,14],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8363]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8364: autom. group order 2, simple, residual B[8364]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,13],[1,4,5,7,8,13,14],[1,4,7,9,10,12,13],[1,4,7,9,11,12,14],[1,5,6,8,10,11,14],[1,5,6,9,11,12,14],[2,3,6,7,9,11,14],[2,3,7,8,9,12,14],[2,4,5,6,9,13,14],[2,4,6,8,10,12,14],[2,4,6,8,11,12,13],[2,5,7,8,11,12,13],[2,5,7,9,10,11,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8364]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8365: autom. group order 2, simple, residual B[8365]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,13],[1,4,5,7,8,13,14],[1,4,7,9,10,12,14],[1,4,7,9,11,12,13],[1,5,6,8,10,11,14],[1,5,6,9,11,12,14],[2,3,6,7,9,11,14],[2,3,7,8,9,12,14],[2,4,5,6,9,13,14],[2,4,6,8,10,12,13],[2,4,6,8,11,12,14],[2,5,7,8,11,12,13],[2,5,7,9,10,11,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8365]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8366: autom. group order 2, simple, residual B[8366]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,13],[1,4,5,7,8,13,14],[1,4,7,9,10,12,13],[1,4,7,9,11,12,14],[1,5,6,8,11,12,14],[1,5,6,9,10,11,14],[2,3,6,7,9,11,14],[2,3,7,8,9,12,14],[2,4,5,6,9,13,14],[2,4,6,8,10,12,14],[2,4,6,8,11,12,13],[2,5,7,8,10,11,13],[2,5,7,9,11,12,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8366]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8367: autom. group order 2, simple, residual B[8367]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,8,9,10,13,14],[1,3,6,7,8,11,13],[1,3,6,8,9,12,13],[1,4,5,7,8,13,14],[1,4,7,9,10,12,14],[1,4,7,9,11,12,13],[1,5,6,8,11,12,14],[1,5,6,9,10,11,14],[2,3,6,7,9,11,14],[2,3,7,8,9,12,14],[2,4,5,6,9,13,14],[2,4,6,8,10,12,13],[2,4,6,8,11,12,14],[2,5,7,8,10,11,13],[2,5,7,9,11,12,13],[3,4,5,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[8367]:=Group([(1,2)(6,7)(8,9)(13,14)]); # Design 8368: autom. group order 2, simple B[8368]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,14],[1,2,5,10,12,13,14],[1,3,6,9,10,12,14],[1,3,6,9,11,12,13],[1,4,5,7,9,11,13],[1,4,5,8,10,11,12],[1,4,6,7,8,10,13],[1,6,7,8,9,13,14],[1,7,8,10,11,12,14],[2,3,7,8,9,10,11],[2,3,7,10,11,13,14],[2,4,6,7,9,10,12],[2,4,6,8,11,13,14],[2,4,8,9,12,13,14],[2,5,6,7,10,12,13],[2,5,6,8,9,11,12],[3,4,5,7,8,12,14],[3,4,5,9,10,13,14],[3,4,6,7,11,12,14],[3,5,6,8,10,11,13],[3,5,7,8,9,12,13],[4,5,6,9,10,11,14]]; G[8368]:=Group([(2,10)(3,12)(4,14)(5,8)(6,11)(9,13)]); # Design 8369: autom. group order 2, simple B[8369]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,7,8,12,14],[1,2,5,9,12,13,14],[1,3,6,7,10,13,14],[1,3,7,8,9,10,13],[1,4,5,6,9,10,14],[1,4,5,10,11,13,14],[1,4,7,9,11,12,13],[1,6,7,8,9,11,12],[1,6,8,10,11,12,14],[2,3,6,9,11,13,14],[2,3,7,9,10,12,14],[2,4,6,7,9,11,14],[2,4,6,8,10,12,13],[2,4,7,8,10,11,14],[2,5,6,7,10,12,13],[2,5,8,9,10,11,13],[3,4,5,7,10,11,12],[3,4,5,8,9,12,14],[3,4,6,8,12,13,14],[3,5,6,9,10,11,12],[3,5,7,8,11,13,14],[4,5,6,7,8,9,13]]; G[8369]:=Group([(2,14)(3,10)(4,6)(7,9)(8,13)]); # Design 8370: autom. group order 2, simple B[8370]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,7,12,13,14],[1,2,5,8,9,12,14],[1,3,6,7,10,13,14],[1,3,7,8,9,10,13],[1,4,5,6,9,10,14],[1,4,5,10,11,13,14],[1,4,7,9,11,12,13],[1,6,7,8,9,11,12],[1,6,8,10,11,12,14],[2,3,6,9,11,13,14],[2,3,7,9,10,12,14],[2,4,6,7,9,11,14],[2,4,6,8,10,12,13],[2,4,7,8,10,11,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,13],[3,4,5,7,8,12,14],[3,4,5,9,10,11,12],[3,4,6,8,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,11,13,14],[4,5,6,7,8,9,13]]; G[8370]:=Group([(2,14)(3,10)(4,6)(7,9)(8,13)]); # Design 8371: autom. group order 2, simple B[8371]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,14],[1,2,5,9,10,11,12],[1,3,6,8,10,12,14],[1,3,7,8,10,11,13],[1,4,5,7,10,13,14],[1,4,5,8,9,12,13],[1,4,6,7,11,12,14],[1,6,7,8,9,12,13],[1,6,9,10,11,13,14],[2,3,6,7,9,12,13],[2,3,7,9,10,13,14],[2,4,6,8,11,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,11,12],[2,5,6,8,10,11,13],[2,5,7,8,12,13,14],[3,4,5,6,9,11,13],[3,4,5,10,12,13,14],[3,4,7,8,9,11,14],[3,5,6,7,10,11,12],[3,5,8,9,11,12,14],[4,5,6,7,8,9,10]]; G[8371]:=Group([(1,3)(2,8)(4,10)(5,14)(7,12)]); # Design 8372: autom. group order 2, simple, residual B[8372]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,14],[1,2,5,9,10,12,13],[1,3,6,8,10,12,14],[1,3,7,8,10,11,13],[1,4,5,7,10,11,14],[1,4,5,8,9,12,13],[1,4,6,7,12,13,14],[1,6,7,8,9,11,12],[1,6,9,10,11,13,14],[2,3,6,7,9,11,12],[2,3,7,9,10,13,14],[2,4,6,8,11,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,11,12],[2,5,6,8,10,11,13],[2,5,7,8,12,13,14],[3,4,5,6,9,11,13],[3,4,5,10,11,12,14],[3,4,7,8,9,13,14],[3,5,6,7,10,12,13],[3,5,8,9,11,12,14],[4,5,6,7,8,9,10]]; G[8372]:=Group([(1,3)(2,8)(4,10)(5,14)(7,12)]); # Design 8373: autom. group order 2, simple B[8373]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,14],[1,2,5,9,10,12,13],[1,3,6,8,10,12,14],[1,3,7,8,10,11,13],[1,4,5,7,10,13,14],[1,4,5,8,9,11,12],[1,4,6,7,11,12,14],[1,6,7,8,9,12,13],[1,6,9,10,11,13,14],[2,3,6,7,9,12,13],[2,3,7,9,10,11,14],[2,4,6,8,11,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,11,12],[2,5,6,8,10,11,13],[2,5,7,8,12,13,14],[3,4,5,6,9,11,13],[3,4,5,10,12,13,14],[3,4,7,8,9,13,14],[3,5,6,7,10,11,12],[3,5,8,9,11,12,14],[4,5,6,7,8,9,10]]; G[8373]:=Group([(1,3)(2,8)(4,10)(5,14)(7,12)]); # Design 8374: autom. group order 2, simple, residual B[8374]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,5,9,10,13,14],[1,3,6,9,11,12,14],[1,3,8,10,11,13,14],[1,4,5,7,8,10,11],[1,4,5,7,12,13,14],[1,4,6,8,10,12,13],[1,6,7,8,9,11,14],[1,6,7,9,10,12,13],[2,3,6,7,8,12,13],[2,3,7,9,10,11,13],[2,4,6,7,10,11,14],[2,4,6,10,11,12,14],[2,4,7,8,9,13,14],[2,5,6,8,9,10,12],[2,5,8,11,12,13,14],[3,4,5,6,9,11,13],[3,4,5,9,10,12,14],[3,4,7,8,9,12,14],[3,5,6,7,10,13,14],[3,5,7,8,10,11,12],[4,5,6,8,9,11,13]]; G[8374]:=Group([(2,13)(3,12)(5,10)(7,8)(9,14)]); # Design 8375: autom. group order 2, simple B[8375]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,9,10,13],[1,3,7,10,11,12,14],[1,4,5,7,8,13,14],[1,4,5,7,10,12,14],[1,4,6,8,9,12,13],[1,6,7,8,9,11,12],[1,6,8,10,11,13,14],[2,3,6,10,12,13,14],[2,3,7,8,9,12,14],[2,4,6,8,10,11,14],[2,4,7,8,10,12,13],[2,4,7,9,11,13,14],[2,5,6,7,8,11,12],[2,5,6,7,9,10,13],[3,4,5,6,11,12,13],[3,4,5,8,9,10,11],[3,4,6,7,9,11,14],[3,5,7,8,10,11,13],[3,5,8,9,12,13,14],[4,5,6,9,10,12,14]]; G[8375]:=Group([(1,5)(3,6)(4,7)(9,11)(10,12)]); # Design 8376: autom. group order 2, simple B[8376]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,9,12,13],[1,3,7,10,11,12,14],[1,4,5,7,8,13,14],[1,4,5,7,10,12,14],[1,4,6,8,9,10,11],[1,6,7,8,10,11,13],[1,6,8,9,12,13,14],[2,3,6,10,12,13,14],[2,3,7,8,9,10,14],[2,4,6,8,11,12,14],[2,4,7,8,10,12,13],[2,4,7,9,11,13,14],[2,5,6,7,8,11,12],[2,5,6,7,9,10,13],[3,4,5,6,10,11,13],[3,4,5,8,9,12,13],[3,4,6,7,9,11,14],[3,5,7,8,9,11,12],[3,5,8,10,11,13,14],[4,5,6,9,10,12,14]]; G[8376]:=Group([(1,5)(3,6)(4,7)(9,11)(10,12)]); # Design 8377: autom. group order 2, simple B[8377]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,11,12,13],[1,3,7,9,10,12,14],[1,4,5,7,8,13,14],[1,4,5,7,10,12,14],[1,4,6,8,10,11,13],[1,6,7,8,9,10,11],[1,6,8,9,12,13,14],[2,3,6,10,12,13,14],[2,3,7,8,10,11,14],[2,4,6,8,9,12,14],[2,4,7,8,10,12,13],[2,4,7,9,11,13,14],[2,5,6,7,8,11,12],[2,5,6,7,9,10,13],[3,4,5,6,9,10,13],[3,4,5,8,9,11,12],[3,4,6,7,9,11,14],[3,5,7,8,9,12,13],[3,5,8,10,11,13,14],[4,5,6,10,11,12,14]]; G[8377]:=Group([(1,5)(3,6)(4,7)(9,11)(10,12)]); # Design 8378: autom. group order 2, simple, residual B[8378]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,9,10,13],[1,3,7,10,11,12,14],[1,4,5,7,8,13,14],[1,4,5,7,10,12,14],[1,4,6,8,9,12,13],[1,6,7,8,9,11,12],[1,6,8,10,11,13,14],[2,3,6,8,10,12,14],[2,3,7,9,12,13,14],[2,4,6,10,11,13,14],[2,4,7,8,9,11,14],[2,4,7,8,10,12,13],[2,5,6,7,8,11,12],[2,5,6,7,9,10,13],[3,4,5,6,11,12,13],[3,4,5,8,9,10,11],[3,4,6,7,9,11,14],[3,5,7,8,10,11,13],[3,5,8,9,12,13,14],[4,5,6,9,10,12,14]]; G[8378]:=Group([(1,5)(3,6)(4,7)(9,11)(10,12)]); # Design 8379: autom. group order 2, simple, residual B[8379]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,9,10,14],[1,3,7,10,11,12,14],[1,4,5,7,8,13,14],[1,4,5,7,10,12,13],[1,4,6,8,9,12,13],[1,6,7,8,9,11,12],[1,6,8,10,11,13,14],[2,3,6,8,10,12,13],[2,3,7,9,12,13,14],[2,4,6,10,11,13,14],[2,4,7,8,9,11,14],[2,4,7,8,10,12,14],[2,5,6,7,8,11,12],[2,5,6,7,9,10,13],[3,4,5,6,11,12,14],[3,4,5,8,9,10,11],[3,4,6,7,9,11,13],[3,5,7,8,10,11,13],[3,5,8,9,12,13,14],[4,5,6,9,10,12,14]]; G[8379]:=Group([(1,5)(3,6)(4,7)(9,11)(10,12)]); # Design 8380: autom. group order 2, simple, residual B[8380]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,10,11,13],[1,3,7,9,10,12,14],[1,4,5,7,8,13,14],[1,4,5,7,10,12,14],[1,4,6,8,9,11,12],[1,6,7,8,9,12,13],[1,6,8,10,11,13,14],[2,3,6,8,10,12,14],[2,3,7,11,12,13,14],[2,4,6,9,10,13,14],[2,4,7,8,9,11,14],[2,4,7,8,10,12,13],[2,5,6,7,8,11,12],[2,5,6,7,9,10,13],[3,4,5,6,9,12,13],[3,4,5,8,10,11,13],[3,4,6,7,9,11,14],[3,5,7,8,9,10,11],[3,5,8,9,12,13,14],[4,5,6,10,11,12,14]]; G[8380]:=Group([(1,5)(3,6)(4,7)(9,11)(10,12)]); # Design 8381: autom. group order 2, simple, residual B[8381]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,11,12,13],[1,3,7,9,10,12,14],[1,4,5,7,8,13,14],[1,4,5,7,10,12,14],[1,4,6,8,10,11,13],[1,6,7,8,9,10,11],[1,6,8,9,12,13,14],[2,3,6,8,10,12,14],[2,3,7,10,11,13,14],[2,4,6,9,12,13,14],[2,4,7,8,9,11,14],[2,4,7,8,10,12,13],[2,5,6,7,8,11,12],[2,5,6,7,9,10,13],[3,4,5,6,9,10,13],[3,4,5,8,9,11,12],[3,4,6,7,9,11,14],[3,5,7,8,9,12,13],[3,5,8,10,11,13,14],[4,5,6,10,11,12,14]]; G[8381]:=Group([(1,5)(3,6)(4,7)(9,11)(10,12)]); # Design 8382: autom. group order 2, simple, residual B[8382]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,11,12,14],[1,3,7,9,10,12,14],[1,4,5,7,8,13,14],[1,4,5,7,10,12,13],[1,4,6,8,10,11,13],[1,6,7,8,9,10,11],[1,6,8,9,12,13,14],[2,3,6,8,10,12,13],[2,3,7,10,11,13,14],[2,4,6,9,12,13,14],[2,4,7,8,9,11,14],[2,4,7,8,10,12,14],[2,5,6,7,8,11,12],[2,5,6,7,9,10,13],[3,4,5,6,9,10,14],[3,4,5,8,9,11,12],[3,4,6,7,9,11,13],[3,5,7,8,9,12,13],[3,5,8,10,11,13,14],[4,5,6,10,11,12,14]]; G[8382]:=Group([(1,5)(3,6)(4,7)(9,11)(10,12)]); # Design 8383: autom. group order 2, simple B[8383]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,9,12,13],[1,3,7,8,9,10,11],[1,4,5,7,8,13,14],[1,4,5,7,10,12,14],[1,4,6,10,11,12,14],[1,6,7,8,10,11,13],[1,6,8,9,12,13,14],[2,3,6,10,12,13,14],[2,3,7,8,11,12,14],[2,4,6,8,9,10,14],[2,4,7,8,10,12,13],[2,4,7,9,11,13,14],[2,5,6,7,8,11,12],[2,5,6,7,9,10,13],[3,4,5,6,10,11,13],[3,4,5,8,9,12,13],[3,4,6,7,9,11,14],[3,5,7,9,10,12,14],[3,5,8,10,11,13,14],[4,5,6,8,9,11,12]]; G[8383]:=Group([(1,5)(3,6)(4,7)(9,11)(10,12)]); # Design 8384: autom. group order 2, simple B[8384]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,9,12,13],[1,3,7,8,10,11,13],[1,4,5,7,8,13,14],[1,4,5,7,10,12,14],[1,4,6,9,10,12,14],[1,6,7,8,9,10,11],[1,6,8,11,12,13,14],[2,3,6,10,12,13,14],[2,3,7,8,9,12,14],[2,4,6,8,10,11,14],[2,4,7,8,10,12,13],[2,4,7,9,11,13,14],[2,5,6,7,8,11,12],[2,5,6,7,9,10,13],[3,4,5,6,10,11,13],[3,4,5,8,9,11,12],[3,4,6,7,9,11,14],[3,5,7,10,11,12,14],[3,5,8,9,10,13,14],[4,5,6,8,9,12,13]]; G[8384]:=Group([(1,5)(3,6)(4,7)(9,11)(10,12)]); # Design 8385: autom. group order 2, simple B[8385]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,10,11,13],[1,3,7,8,9,11,12],[1,4,5,7,8,13,14],[1,4,5,7,10,12,14],[1,4,6,9,10,12,14],[1,6,7,8,9,12,13],[1,6,8,10,11,13,14],[2,3,6,10,12,13,14],[2,3,7,8,9,10,14],[2,4,6,8,11,12,14],[2,4,7,8,10,12,13],[2,4,7,9,11,13,14],[2,5,6,7,8,11,12],[2,5,6,7,9,10,13],[3,4,5,6,9,12,13],[3,4,5,8,10,11,13],[3,4,6,7,9,11,14],[3,5,7,10,11,12,14],[3,5,8,9,12,13,14],[4,5,6,8,9,10,11]]; G[8385]:=Group([(1,5)(3,6)(4,7)(9,11)(10,12)]); # Design 8386: autom. group order 2, simple, residual B[8386]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,9,12,13],[1,3,7,8,9,10,11],[1,4,5,7,8,13,14],[1,4,5,7,10,12,14],[1,4,6,10,11,12,14],[1,6,7,8,10,11,13],[1,6,8,9,12,13,14],[2,3,6,8,10,12,14],[2,3,7,11,12,13,14],[2,4,6,9,10,13,14],[2,4,7,8,9,11,14],[2,4,7,8,10,12,13],[2,5,6,7,8,11,12],[2,5,6,7,9,10,13],[3,4,5,6,10,11,13],[3,4,5,8,9,12,13],[3,4,6,7,9,11,14],[3,5,7,9,10,12,14],[3,5,8,10,11,13,14],[4,5,6,8,9,11,12]]; G[8386]:=Group([(1,5)(3,6)(4,7)(9,11)(10,12)]); # Design 8387: autom. group order 2, simple, residual B[8387]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,9,12,13],[1,3,7,8,10,11,13],[1,4,5,7,8,13,14],[1,4,5,7,10,12,14],[1,4,6,9,10,12,14],[1,6,7,8,9,10,11],[1,6,8,11,12,13,14],[2,3,6,8,10,12,14],[2,3,7,9,12,13,14],[2,4,6,10,11,13,14],[2,4,7,8,9,11,14],[2,4,7,8,10,12,13],[2,5,6,7,8,11,12],[2,5,6,7,9,10,13],[3,4,5,6,10,11,13],[3,4,5,8,9,11,12],[3,4,6,7,9,11,14],[3,5,7,10,11,12,14],[3,5,8,9,10,13,14],[4,5,6,8,9,12,13]]; G[8387]:=Group([(1,5)(3,6)(4,7)(9,11)(10,12)]); # Design 8388: autom. group order 2, simple, residual B[8388]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,10,11,13],[1,3,7,8,9,12,13],[1,4,5,7,8,13,14],[1,4,5,7,10,12,14],[1,4,6,10,11,12,14],[1,6,7,8,9,11,12],[1,6,8,9,10,13,14],[2,3,6,8,10,12,14],[2,3,7,10,11,13,14],[2,4,6,9,12,13,14],[2,4,7,8,9,11,14],[2,4,7,8,10,12,13],[2,5,6,7,8,11,12],[2,5,6,7,9,10,13],[3,4,5,6,9,12,13],[3,4,5,8,9,10,11],[3,4,6,7,9,11,14],[3,5,7,9,10,12,14],[3,5,8,11,12,13,14],[4,5,6,8,10,11,13]]; G[8388]:=Group([(1,5)(3,6)(4,7)(9,11)(10,12)]); # Design 8389: autom. group order 2, simple B[8389]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,9,10,13],[1,3,7,8,9,11,12],[1,4,5,7,8,13,14],[1,4,5,7,10,12,14],[1,4,6,8,10,11,13],[1,6,7,10,11,12,14],[1,6,8,9,12,13,14],[2,3,6,10,12,13,14],[2,3,7,8,10,11,14],[2,4,6,8,9,12,14],[2,4,7,8,10,12,13],[2,4,7,9,11,13,14],[2,5,6,7,8,11,12],[2,5,6,7,9,10,13],[3,4,5,6,11,12,13],[3,4,5,9,10,12,14],[3,4,6,7,9,11,14],[3,5,7,8,9,12,13],[3,5,8,10,11,13,14],[4,5,6,8,9,10,11]]; G[8389]:=Group([(1,5)(3,6)(4,7)(9,11)(10,12)]); # Design 8390: autom. group order 2, simple B[8390]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,9,10,13],[1,3,7,8,10,11,12],[1,4,5,7,8,13,14],[1,4,5,7,10,12,14],[1,4,6,8,9,12,13],[1,6,7,9,11,12,14],[1,6,8,10,11,13,14],[2,3,6,10,12,13,14],[2,3,7,8,9,12,14],[2,4,6,8,10,11,14],[2,4,7,8,9,11,13],[2,4,7,10,12,13,14],[2,5,6,7,8,11,12],[2,5,6,7,9,10,13],[3,4,5,6,11,12,13],[3,4,5,9,10,11,14],[3,4,6,7,9,11,14],[3,5,7,8,10,11,13],[3,5,8,9,12,13,14],[4,5,6,8,9,10,12]]; G[8390]:=Group([(1,5)(3,6)(4,7)(9,11)(10,12)]); # Design 8391: autom. group order 2, simple B[8391]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,9,12,13],[1,3,7,8,10,11,13],[1,4,5,7,8,13,14],[1,4,5,7,10,12,14],[1,4,6,8,9,10,12],[1,6,7,9,10,11,14],[1,6,8,11,12,13,14],[2,3,6,10,12,13,14],[2,3,7,8,9,12,14],[2,4,6,8,10,11,14],[2,4,7,8,9,11,13],[2,4,7,10,12,13,14],[2,5,6,7,8,11,12],[2,5,6,7,9,10,13],[3,4,5,6,10,11,13],[3,4,5,9,11,12,14],[3,4,6,7,9,11,14],[3,5,7,8,10,11,12],[3,5,8,9,10,13,14],[4,5,6,8,9,12,13]]; G[8391]:=Group([(1,5)(3,6)(4,7)(9,11)(10,12)]); # Design 8392: autom. group order 2, simple B[8392]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,9,12,13],[1,3,7,8,10,11,13],[1,4,5,7,8,13,14],[1,4,5,7,10,12,14],[1,4,6,8,9,11,12],[1,6,7,10,11,12,14],[1,6,8,9,10,13,14],[2,3,6,10,12,13,14],[2,3,7,8,9,12,14],[2,4,6,8,10,11,14],[2,4,7,8,10,12,13],[2,4,7,9,11,13,14],[2,5,6,7,8,11,12],[2,5,6,7,9,10,13],[3,4,5,6,10,11,13],[3,4,5,9,10,12,14],[3,4,6,7,9,11,14],[3,5,7,8,9,10,11],[3,5,8,11,12,13,14],[4,5,6,8,9,12,13]]; G[8392]:=Group([(1,5)(3,6)(4,7)(9,11)(10,12)]); # Design 8393: autom. group order 2, simple B[8393]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,11,12,13],[1,3,7,8,9,10,11],[1,4,5,7,8,13,14],[1,4,5,7,10,12,14],[1,4,6,8,9,12,13],[1,6,7,9,10,12,14],[1,6,8,10,11,13,14],[2,3,6,10,12,13,14],[2,3,7,8,9,12,14],[2,4,6,8,10,11,14],[2,4,7,8,10,12,13],[2,4,7,9,11,13,14],[2,5,6,7,8,11,12],[2,5,6,7,9,10,13],[3,4,5,6,9,10,13],[3,4,5,10,11,12,14],[3,4,6,7,9,11,14],[3,5,7,8,10,11,13],[3,5,8,9,12,13,14],[4,5,6,8,9,11,12]]; G[8393]:=Group([(1,5)(3,6)(4,7)(9,11)(10,12)]); # Design 8394: autom. group order 2, simple B[8394]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,10,11,13],[1,3,7,8,9,12,13],[1,4,5,7,8,13,14],[1,4,5,7,10,12,14],[1,4,6,8,9,10,11],[1,6,7,9,10,12,14],[1,6,8,11,12,13,14],[2,3,6,10,12,13,14],[2,3,7,8,10,11,14],[2,4,6,8,9,12,14],[2,4,7,8,10,12,13],[2,4,7,9,11,13,14],[2,5,6,7,8,11,12],[2,5,6,7,9,10,13],[3,4,5,6,9,12,13],[3,4,5,10,11,12,14],[3,4,6,7,9,11,14],[3,5,7,8,9,11,12],[3,5,8,9,10,13,14],[4,5,6,8,10,11,13]]; G[8394]:=Group([(1,5)(3,6)(4,7)(9,11)(10,12)]); # Design 8395: autom. group order 2, simple B[8395]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,11,12,13],[1,3,7,8,9,10,12],[1,4,5,7,8,13,14],[1,4,5,7,10,12,14],[1,4,6,8,10,11,13],[1,6,7,9,10,11,14],[1,6,8,9,12,13,14],[2,3,6,10,12,13,14],[2,3,7,8,10,11,14],[2,4,6,8,9,12,14],[2,4,7,8,9,11,13],[2,4,7,10,12,13,14],[2,5,6,7,8,11,12],[2,5,6,7,9,10,13],[3,4,5,6,9,10,13],[3,4,5,9,11,12,14],[3,4,6,7,9,11,14],[3,5,7,8,9,12,13],[3,5,8,10,11,13,14],[4,5,6,8,10,11,12]]; G[8395]:=Group([(1,5)(3,6)(4,7)(9,11)(10,12)]); # Design 8396: autom. group order 2, simple, residual B[8396]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,9,10,13],[1,3,7,8,9,11,12],[1,4,5,7,8,13,14],[1,4,5,7,10,12,14],[1,4,6,8,10,11,13],[1,6,7,10,11,12,14],[1,6,8,9,12,13,14],[2,3,6,8,10,12,14],[2,3,7,10,11,13,14],[2,4,6,9,12,13,14],[2,4,7,8,9,11,14],[2,4,7,8,10,12,13],[2,5,6,7,8,11,12],[2,5,6,7,9,10,13],[3,4,5,6,11,12,13],[3,4,5,9,10,12,14],[3,4,6,7,9,11,14],[3,5,7,8,9,12,13],[3,5,8,10,11,13,14],[4,5,6,8,9,10,11]]; G[8396]:=Group([(1,5)(3,6)(4,7)(9,11)(10,12)]); # Design 8397: autom. group order 2, simple, residual B[8397]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,9,10,14],[1,3,7,8,9,11,12],[1,4,5,7,8,13,14],[1,4,5,7,10,12,13],[1,4,6,8,10,11,13],[1,6,7,10,11,12,14],[1,6,8,9,12,13,14],[2,3,6,8,10,12,13],[2,3,7,10,11,13,14],[2,4,6,9,12,13,14],[2,4,7,8,9,11,14],[2,4,7,8,10,12,14],[2,5,6,7,8,11,12],[2,5,6,7,9,10,13],[3,4,5,6,11,12,14],[3,4,5,9,10,12,14],[3,4,6,7,9,11,13],[3,5,7,8,9,12,13],[3,5,8,10,11,13,14],[4,5,6,8,9,10,11]]; G[8397]:=Group([(1,5)(3,6)(4,7)(9,11)(10,12)]); # Design 8398: autom. group order 2, simple, residual B[8398]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,9,12,13],[1,3,7,8,10,11,13],[1,4,5,7,8,13,14],[1,4,5,7,10,12,14],[1,4,6,8,9,11,12],[1,6,7,10,11,12,14],[1,6,8,9,10,13,14],[2,3,6,8,10,12,14],[2,3,7,9,12,13,14],[2,4,6,10,11,13,14],[2,4,7,8,9,11,14],[2,4,7,8,10,12,13],[2,5,6,7,8,11,12],[2,5,6,7,9,10,13],[3,4,5,6,10,11,13],[3,4,5,9,10,12,14],[3,4,6,7,9,11,14],[3,5,7,8,9,10,11],[3,5,8,11,12,13,14],[4,5,6,8,9,12,13]]; G[8398]:=Group([(1,5)(3,6)(4,7)(9,11)(10,12)]); # Design 8399: autom. group order 2, simple, residual B[8399]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,11,12,13],[1,3,7,8,9,10,11],[1,4,5,7,8,13,14],[1,4,5,7,10,12,14],[1,4,6,8,9,12,13],[1,6,7,9,10,12,14],[1,6,8,10,11,13,14],[2,3,6,8,10,12,14],[2,3,7,9,12,13,14],[2,4,6,10,11,13,14],[2,4,7,8,9,11,14],[2,4,7,8,10,12,13],[2,5,6,7,8,11,12],[2,5,6,7,9,10,13],[3,4,5,6,9,10,13],[3,4,5,10,11,12,14],[3,4,6,7,9,11,14],[3,5,7,8,10,11,13],[3,5,8,9,12,13,14],[4,5,6,8,9,11,12]]; G[8399]:=Group([(1,5)(3,6)(4,7)(9,11)(10,12)]); # Design 8400: autom. group order 2, simple, residual B[8400]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,11,12,14],[1,3,7,8,9,10,11],[1,4,5,7,8,13,14],[1,4,5,7,10,12,13],[1,4,6,8,9,12,13],[1,6,7,9,10,12,14],[1,6,8,10,11,13,14],[2,3,6,8,10,12,13],[2,3,7,9,12,13,14],[2,4,6,10,11,13,14],[2,4,7,8,9,11,14],[2,4,7,8,10,12,14],[2,5,6,7,8,11,12],[2,5,6,7,9,10,13],[3,4,5,6,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,9,11,13],[3,5,7,8,10,11,13],[3,5,8,9,12,13,14],[4,5,6,8,9,11,12]]; G[8400]:=Group([(1,5)(3,6)(4,7)(9,11)(10,12)]); # Design 8401: autom. group order 2, simple, residual B[8401]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,10,11,13],[1,3,7,8,9,12,13],[1,4,5,7,8,13,14],[1,4,5,7,10,12,14],[1,4,6,8,9,10,11],[1,6,7,9,10,12,14],[1,6,8,11,12,13,14],[2,3,6,8,10,12,14],[2,3,7,10,11,13,14],[2,4,6,9,12,13,14],[2,4,7,8,9,11,14],[2,4,7,8,10,12,13],[2,5,6,7,8,11,12],[2,5,6,7,9,10,13],[3,4,5,6,9,12,13],[3,4,5,10,11,12,14],[3,4,6,7,9,11,14],[3,5,7,8,9,11,12],[3,5,8,9,10,13,14],[4,5,6,8,10,11,13]]; G[8401]:=Group([(1,5)(3,6)(4,7)(9,11)(10,12)]); # Design 8402: autom. group order 2, simple, residual B[8402]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,8,9,12,14],[1,2,5,10,12,13,14],[1,3,6,7,9,12,13],[1,3,7,9,10,11,14],[1,4,5,7,9,10,13],[1,4,5,7,11,12,14],[1,4,6,8,10,13,14],[1,6,7,8,10,11,12],[1,6,8,9,11,13,14],[2,3,6,10,12,13,14],[2,3,7,9,11,13,14],[2,4,6,9,10,11,12],[2,4,7,8,9,12,14],[2,4,7,8,10,11,13],[2,5,6,7,8,9,13],[2,5,6,7,10,11,14],[3,4,5,6,9,10,14],[3,4,5,8,11,13,14],[3,4,6,7,8,12,14],[3,5,7,8,10,12,13],[3,5,8,9,10,11,12],[4,5,6,9,11,12,13]]; G[8402]:=Group([(1,5)(3,6)(4,7)(10,13)(12,14)]); # Design 8403: autom. group order 2, simple, residual B[8403]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,8,9,12,14],[1,2,5,10,12,13,14],[1,3,6,7,9,10,12],[1,3,7,8,10,13,14],[1,4,5,7,9,10,13],[1,4,5,7,11,12,14],[1,4,6,9,11,13,14],[1,6,7,8,11,12,13],[1,6,8,9,10,11,14],[2,3,6,10,12,13,14],[2,3,7,9,11,13,14],[2,4,6,9,10,11,12],[2,4,7,8,9,12,14],[2,4,7,8,10,11,13],[2,5,6,7,8,9,13],[2,5,6,7,10,11,14],[3,4,5,6,9,13,14],[3,4,5,8,10,11,14],[3,4,6,7,8,12,14],[3,5,7,9,10,11,12],[3,5,8,9,11,12,13],[4,5,6,8,10,12,13]]; G[8403]:=Group([(1,5)(3,6)(4,7)(10,13)(12,14)]); # Design 8404: autom. group order 2, simple B[8404]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,8,9,12,14],[1,2,5,10,12,13,14],[1,3,6,7,9,10,12],[1,3,7,8,10,13,14],[1,4,5,7,9,12,14],[1,4,5,7,10,11,13],[1,4,6,9,11,13,14],[1,6,7,8,11,12,13],[1,6,8,9,10,11,14],[2,3,6,10,12,13,14],[2,3,7,9,11,13,14],[2,4,6,9,10,11,12],[2,4,7,8,9,10,13],[2,4,7,8,11,12,14],[2,5,6,7,8,9,13],[2,5,6,7,10,11,14],[3,4,5,6,9,13,14],[3,4,5,8,10,11,14],[3,4,6,7,8,12,14],[3,5,7,9,10,11,12],[3,5,8,9,11,12,13],[4,5,6,8,10,12,13]]; G[8404]:=Group([(1,5)(3,6)(4,7)(10,13)(12,14)]); # Design 8405: autom. group order 2, simple, residual B[8405]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,8,9,12,14],[1,2,5,10,12,13,14],[1,3,6,7,9,10,12],[1,3,7,8,11,13,14],[1,4,5,7,9,10,13],[1,4,5,7,11,12,14],[1,4,6,9,10,11,14],[1,6,7,8,10,12,13],[1,6,8,9,11,13,14],[2,3,6,10,12,13,14],[2,3,7,9,10,11,14],[2,4,6,9,11,12,13],[2,4,7,8,9,12,14],[2,4,7,8,10,11,13],[2,5,6,7,8,9,13],[2,5,6,7,10,11,14],[3,4,5,6,9,13,14],[3,4,5,8,10,13,14],[3,4,6,7,8,12,14],[3,5,7,9,11,12,13],[3,5,8,9,10,11,12],[4,5,6,8,10,11,12]]; G[8405]:=Group([(1,5)(3,6)(4,7)(10,13)(12,14)]); # Design 8406: autom. group order 2, simple, residual B[8406]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,8,9,12,14],[1,2,5,10,12,13,14],[1,3,6,7,9,10,14],[1,3,7,8,11,13,14],[1,4,5,7,9,10,13],[1,4,5,7,11,12,14],[1,4,6,8,10,13,14],[1,6,7,9,11,12,13],[1,6,8,9,10,11,12],[2,3,6,10,12,13,14],[2,3,7,9,10,11,12],[2,4,6,9,11,13,14],[2,4,7,8,9,12,14],[2,4,7,8,10,11,13],[2,5,6,7,8,9,13],[2,5,6,7,10,11,14],[3,4,5,6,9,12,13],[3,4,5,9,10,11,14],[3,4,6,7,8,12,14],[3,5,7,8,10,12,13],[3,5,8,9,11,13,14],[4,5,6,8,10,11,12]]; G[8406]:=Group([(1,5)(3,6)(4,7)(10,13)(12,14)]); # Design 8407: autom. group order 2, simple B[8407]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,8,9,12,14],[1,2,5,10,12,13,14],[1,3,6,7,9,10,14],[1,3,7,8,11,13,14],[1,4,5,7,9,12,14],[1,4,5,7,10,11,13],[1,4,6,8,10,13,14],[1,6,7,9,11,12,13],[1,6,8,9,10,11,12],[2,3,6,10,12,13,14],[2,3,7,9,10,11,12],[2,4,6,9,11,13,14],[2,4,7,8,9,10,13],[2,4,7,8,11,12,14],[2,5,6,7,8,9,13],[2,5,6,7,10,11,14],[3,4,5,6,9,12,13],[3,4,5,9,10,11,14],[3,4,6,7,8,12,14],[3,5,7,8,10,12,13],[3,5,8,9,11,13,14],[4,5,6,8,10,11,12]]; G[8407]:=Group([(1,5)(3,6)(4,7)(10,13)(12,14)]); # Design 8408: autom. group order 2, simple, residual B[8408]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,8,9,12,14],[1,2,5,10,12,13,14],[1,3,6,7,9,13,14],[1,3,7,8,10,13,14],[1,4,5,7,9,10,13],[1,4,5,7,11,12,14],[1,4,6,8,10,11,14],[1,6,7,9,10,11,12],[1,6,8,9,11,12,13],[2,3,6,10,12,13,14],[2,3,7,9,10,11,12],[2,4,6,9,11,13,14],[2,4,7,8,9,12,14],[2,4,7,8,10,11,13],[2,5,6,7,8,9,13],[2,5,6,7,10,11,14],[3,4,5,6,9,10,12],[3,4,5,9,11,13,14],[3,4,6,7,8,12,14],[3,5,7,8,11,12,13],[3,5,8,9,10,11,14],[4,5,6,8,10,12,13]]; G[8408]:=Group([(1,5)(3,6)(4,7)(10,13)(12,14)]); # Design 8409: autom. group order 2, simple, residual B[8409]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,8,9,12,14],[1,2,5,10,12,13,14],[1,3,6,7,9,12,13],[1,3,7,8,10,11,14],[1,4,5,7,9,10,13],[1,4,5,7,11,12,14],[1,4,6,8,10,13,14],[1,6,7,9,10,11,12],[1,6,8,9,11,13,14],[2,3,6,10,12,13,14],[2,3,7,9,11,13,14],[2,4,6,9,10,11,12],[2,4,7,8,9,12,14],[2,4,7,8,10,11,13],[2,5,6,7,8,9,13],[2,5,6,7,10,11,14],[3,4,5,6,9,10,14],[3,4,5,9,11,13,14],[3,4,6,7,8,12,14],[3,5,7,8,10,12,13],[3,5,8,9,10,11,12],[4,5,6,8,11,12,13]]; G[8409]:=Group([(1,5)(3,6)(4,7)(10,13)(12,14)]); # Design 8410: autom. group order 2, simple B[8410]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,8,9,12,14],[1,2,5,10,12,13,14],[1,3,6,7,9,13,14],[1,3,7,8,10,13,14],[1,4,5,7,9,12,14],[1,4,5,7,10,11,13],[1,4,6,8,10,11,14],[1,6,7,9,10,11,12],[1,6,8,9,11,12,13],[2,3,6,10,12,13,14],[2,3,7,9,10,11,12],[2,4,6,9,11,13,14],[2,4,7,8,9,10,13],[2,4,7,8,11,12,14],[2,5,6,7,8,9,13],[2,5,6,7,10,11,14],[3,4,5,6,9,10,12],[3,4,5,9,11,13,14],[3,4,6,7,8,12,14],[3,5,7,8,11,12,13],[3,5,8,9,10,11,14],[4,5,6,8,10,12,13]]; G[8410]:=Group([(1,5)(3,6)(4,7)(10,13)(12,14)]); # Design 8411: autom. group order 2, simple, residual B[8411]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,5,8,10,11,13],[1,3,7,8,9,12,14],[1,3,7,10,11,13,14],[1,4,5,6,12,13,14],[1,4,5,7,9,10,14],[1,4,6,9,10,11,12],[1,6,7,8,11,13,14],[1,6,8,9,10,12,13],[2,3,6,7,10,12,13],[2,3,6,9,11,12,14],[2,4,6,8,9,13,14],[2,4,7,8,10,12,14],[2,4,7,9,11,13,14],[2,5,6,7,9,10,13],[2,5,8,10,11,12,14],[3,4,5,8,9,11,13],[3,4,5,10,12,13,14],[3,4,6,7,8,10,11],[3,5,6,9,10,11,14],[3,5,7,8,9,12,13],[4,5,6,7,8,11,12]]; G[8411]:=Group([(2,9)(3,10)(5,12)(7,11)(13,14)]); # Design 8412: autom. group order 2, simple B[8412]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,5,8,10,11,13],[1,3,7,8,9,12,14],[1,3,7,10,11,13,14],[1,4,5,6,12,13,14],[1,4,5,7,9,10,14],[1,4,6,9,10,11,12],[1,6,7,8,11,13,14],[1,6,8,9,10,12,13],[2,3,6,7,9,12,13],[2,3,6,9,10,13,14],[2,4,6,8,11,12,14],[2,4,7,8,10,12,14],[2,4,7,9,11,13,14],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,8,9,11,13],[3,4,5,10,12,13,14],[3,4,6,7,8,10,11],[3,5,6,7,10,11,12],[3,5,8,9,11,12,14],[4,5,6,7,8,9,13]]; G[8412]:=Group([(2,9)(3,10)(5,12)(7,11)(13,14)]); # Design 8413: autom. group order 2, simple, residual B[8413]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,5,8,10,11,13],[1,3,7,8,9,12,14],[1,3,7,10,11,13,14],[1,4,5,6,12,13,14],[1,4,5,7,9,10,14],[1,4,6,9,10,11,12],[1,6,7,8,11,13,14],[1,6,8,9,10,12,13],[2,3,6,7,9,12,13],[2,3,6,10,11,12,14],[2,4,6,8,9,13,14],[2,4,7,8,10,12,14],[2,4,7,9,11,13,14],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,8,9,11,13],[3,4,5,10,12,13,14],[3,4,6,7,8,10,11],[3,5,6,7,9,10,13],[3,5,8,9,11,12,14],[4,5,6,7,8,11,12]]; G[8413]:=Group([(2,9)(3,10)(5,12)(7,11)(13,14)]); # Design 8414: autom. group order 2, simple B[8414]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,8,11,14],[1,2,5,6,10,12,13],[1,3,7,8,10,11,12],[1,3,7,9,10,13,14],[1,4,5,7,9,11,13],[1,4,5,7,10,12,14],[1,4,6,9,11,12,14],[1,6,7,8,12,13,14],[1,6,8,9,10,11,13],[2,3,6,7,9,11,12],[2,3,6,7,10,13,14],[2,4,6,9,10,12,14],[2,4,7,8,9,12,13],[2,4,8,10,11,13,14],[2,5,7,8,10,11,12],[2,5,7,9,11,13,14],[3,4,5,6,10,11,13],[3,4,5,8,12,13,14],[3,4,6,7,8,11,14],[3,5,6,8,9,12,13],[3,5,9,10,11,12,14],[4,5,6,7,8,9,10]]; G[8414]:=Group([(1,2)(3,5)(4,6)(9,14)(10,11)]); # Design 8415: autom. group order 2, simple B[8415]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,10],[1,2,5,6,12,13,14],[1,3,7,8,9,11,12],[1,3,7,9,10,13,14],[1,4,5,7,9,12,14],[1,4,5,10,11,12,13],[1,4,6,7,10,11,14],[1,6,7,8,10,12,13],[1,6,8,9,11,13,14],[2,3,6,7,10,11,12],[2,3,6,9,12,13,14],[2,4,6,7,9,11,14],[2,4,7,8,9,12,13],[2,4,8,10,11,13,14],[2,5,7,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,6,9,10,13],[3,4,5,7,8,13,14],[3,4,6,8,10,12,14],[3,5,6,7,8,11,13],[3,5,9,10,11,12,14],[4,5,6,8,9,11,12]]; G[8415]:=Group([(1,2)(3,5)(4,6)(9,10)(11,14)]); # Design 8416: autom. group order 2, simple, residual B[8416]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,10],[1,2,5,6,12,13,14],[1,3,7,8,9,11,12],[1,3,7,9,10,13,14],[1,4,5,7,10,11,12],[1,4,5,9,12,13,14],[1,4,6,7,10,11,14],[1,6,7,8,9,12,13],[1,6,8,10,11,13,14],[2,3,6,7,9,12,14],[2,3,6,10,11,12,13],[2,4,6,7,9,11,14],[2,4,7,8,10,12,13],[2,4,8,9,11,13,14],[2,5,7,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,6,9,10,13],[3,4,5,7,8,13,14],[3,4,6,8,10,12,14],[3,5,6,7,8,11,13],[3,5,9,10,11,12,14],[4,5,6,8,9,11,12]]; G[8416]:=Group([(1,2)(3,5)(4,6)(9,10)(11,14)]); # Design 8417: autom. group order 2, simple B[8417]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,10],[1,2,5,6,12,13,14],[1,3,7,8,9,11,12],[1,3,7,9,10,13,14],[1,4,5,7,10,11,12],[1,4,5,9,12,13,14],[1,4,6,7,10,11,14],[1,6,7,8,10,12,13],[1,6,8,9,11,13,14],[2,3,6,7,9,12,14],[2,3,6,10,11,12,13],[2,4,6,7,9,11,14],[2,4,7,8,9,12,13],[2,4,8,10,11,13,14],[2,5,7,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,6,9,10,13],[3,4,5,7,8,13,14],[3,4,6,8,10,12,14],[3,5,6,7,8,11,13],[3,5,9,10,11,12,14],[4,5,6,8,9,11,12]]; G[8417]:=Group([(1,2)(3,5)(4,6)(9,10)(11,14)]); # Design 8418: autom. group order 2, simple B[8418]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,7,10,11],[1,2,5,8,11,12,14],[1,3,6,7,10,12,14],[1,3,6,9,11,12,13],[1,4,5,6,10,13,14],[1,4,5,7,9,12,13],[1,4,7,8,11,13,14],[1,6,8,9,10,11,12],[1,7,8,9,10,13,14],[2,3,6,7,8,9,13],[2,3,7,10,11,13,14],[2,4,6,8,10,11,13],[2,4,6,9,10,12,14],[2,4,7,9,11,12,14],[2,5,6,8,12,13,14],[2,5,7,9,10,12,13],[3,4,5,8,10,12,13],[3,4,5,9,10,11,14],[3,4,6,7,8,12,14],[3,5,6,9,11,13,14],[3,5,7,8,10,11,12],[4,5,6,7,8,9,11]]; G[8418]:=Group([(2,8)(3,9)(4,10)(5,14)(6,13)]); # Design 8419: autom. group order 2, simple B[8419]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,8,10,12,13],[1,3,6,7,8,12,13],[1,3,6,7,9,10,14],[1,4,5,6,7,10,11],[1,4,5,9,10,13,14],[1,4,7,8,9,11,13],[1,6,10,11,12,13,14],[1,7,8,9,11,12,14],[2,3,6,9,10,11,12],[2,3,7,10,11,13,14],[2,4,6,7,9,12,13],[2,4,6,8,9,11,14],[2,4,7,8,10,12,14],[2,5,6,7,8,13,14],[2,5,7,9,10,11,13],[3,4,5,7,11,12,14],[3,4,5,9,12,13,14],[3,4,6,8,10,13,14],[3,5,6,8,9,11,13],[3,5,7,8,9,10,12],[4,5,6,8,10,11,12]]; G[8419]:=Group([(1,10)(2,8)(3,12)(4,5)(7,11)(9,13)]); # Design 8420: autom. group order 2, simple B[8420]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,8,10,13,14],[1,3,6,7,12,13,14],[1,3,6,8,9,11,13],[1,4,5,7,9,10,11],[1,4,5,9,12,13,14],[1,4,6,10,11,12,14],[1,6,7,8,9,10,14],[1,7,8,10,11,12,13],[2,3,6,7,10,11,14],[2,3,7,9,10,12,13],[2,4,6,8,9,12,14],[2,4,6,9,10,11,13],[2,4,7,8,11,12,14],[2,5,6,8,10,12,13],[2,5,7,9,11,13,14],[3,4,5,6,10,13,14],[3,4,5,7,8,10,12],[3,4,7,8,9,13,14],[3,5,6,8,9,11,12],[3,5,9,10,11,12,14],[4,5,6,7,8,11,13]]; G[8420]:=Group([(1,14)(3,11)(4,7)(5,8)(6,12)(10,13)]); # Design 8421: autom. group order 2, simple, residual B[8421]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,8,11,14],[1,2,5,10,11,12,13],[1,3,6,7,9,11,12],[1,3,6,7,10,13,14],[1,4,5,7,9,11,13],[1,4,5,7,10,12,14],[1,4,6,8,12,13,14],[1,6,8,9,10,12,13],[1,7,8,9,10,11,14],[2,3,6,10,11,12,14],[2,3,7,8,9,12,13],[2,4,6,7,8,10,11],[2,4,6,7,9,12,14],[2,4,9,10,11,13,14],[2,5,6,7,9,10,13],[2,5,7,8,12,13,14],[3,4,5,6,8,10,13],[3,4,5,9,10,12,14],[3,4,7,8,11,13,14],[3,5,6,9,11,13,14],[3,5,7,8,10,11,12],[4,5,6,8,9,11,12]]; G[8421]:=Group([(2,8)(3,9)(4,10)(5,14)(6,11)]); # Design 8422: autom. group order 2, simple, residual B[8422]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,8,11,14],[1,2,5,10,11,12,13],[1,3,6,7,9,11,12],[1,3,6,7,10,13,14],[1,4,5,7,9,11,13],[1,4,5,7,10,12,14],[1,4,6,8,12,13,14],[1,6,8,9,10,12,13],[1,7,8,9,10,11,14],[2,3,6,10,11,12,14],[2,3,7,8,9,12,13],[2,4,6,7,8,10,11],[2,4,6,7,9,13,14],[2,4,9,10,11,13,14],[2,5,6,7,9,10,12],[2,5,7,8,12,13,14],[3,4,5,6,8,10,13],[3,4,5,9,10,12,14],[3,4,7,8,11,12,14],[3,5,6,9,11,13,14],[3,5,7,8,10,11,13],[4,5,6,8,9,11,12]]; G[8422]:=Group([(2,8)(3,9)(4,10)(5,14)(6,11)]); # Design 8423: autom. group order 2, simple, residual B[8423]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,7,10,13,14],[1,3,6,7,8,9,11],[1,3,6,8,12,13,14],[1,4,5,7,9,10,11],[1,4,5,8,10,12,13],[1,4,6,7,9,12,13],[1,6,7,10,11,12,14],[1,8,9,10,11,13,14],[2,3,7,9,10,12,14],[2,3,7,10,11,12,13],[2,4,6,8,10,11,12],[2,4,6,9,11,13,14],[2,4,7,8,9,13,14],[2,5,6,7,8,11,13],[2,5,6,8,9,10,12],[3,4,5,6,10,13,14],[3,4,5,9,11,12,14],[3,4,6,7,8,10,14],[3,5,6,9,10,11,13],[3,5,7,8,9,12,13],[4,5,7,8,11,12,14]]; G[8423]:=Group([(2,12)(3,6)(4,14)(5,13)(7,8)(9,11)]); # Design 8424: autom. group order 2, simple, residual B[8424]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,7,11,14],[1,2,5,8,10,12,13],[1,3,6,9,10,12,14],[1,3,7,9,10,11,13],[1,4,5,6,9,11,12],[1,4,5,7,10,13,14],[1,4,6,8,11,13,14],[1,6,7,8,9,12,13],[1,7,8,10,11,12,14],[2,3,6,7,8,11,12],[2,3,6,7,10,13,14],[2,4,6,8,10,12,14],[2,4,6,9,10,11,13],[2,4,7,9,12,13,14],[2,5,7,9,10,11,12],[2,5,8,9,11,13,14],[3,4,5,7,8,12,13],[3,4,5,10,11,12,14],[3,4,7,8,9,11,14],[3,5,6,8,10,11,13],[3,5,6,9,12,13,14],[4,5,6,7,8,9,10]]; G[8424]:=Group([(1,3)(2,9)(4,10)(5,14)(7,12)(11,13)]); # Design 8425: autom. group order 2, simple, residual B[8425]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,8,10,12,13],[1,3,6,9,10,12,14],[1,3,7,9,11,12,14],[1,4,5,6,9,11,13],[1,4,5,7,10,13,14],[1,4,6,8,10,11,14],[1,6,7,8,12,13,14],[1,7,8,9,10,11,13],[2,3,6,7,10,11,13],[2,3,6,9,10,13,14],[2,4,6,8,11,12,14],[2,4,7,8,9,10,12],[2,4,7,9,11,13,14],[2,5,6,8,9,13,14],[2,5,7,10,11,12,14],[3,4,5,7,8,9,14],[3,4,5,10,12,13,14],[3,4,6,7,8,12,13],[3,5,6,7,8,10,11],[3,5,8,9,11,12,13],[4,5,6,9,10,11,12]]; G[8425]:=Group([(1,12)(2,13)(5,8)(9,14)]); # Design 8426: autom. group order 2, simple, residual B[8426]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,8,10,12,13],[1,3,6,9,10,12,14],[1,3,7,9,11,12,14],[1,4,5,6,11,13,14],[1,4,5,7,9,10,13],[1,4,6,8,10,11,14],[1,6,7,8,12,13,14],[1,7,8,9,10,11,13],[2,3,6,7,10,11,13],[2,3,6,9,10,13,14],[2,4,6,8,9,11,12],[2,4,7,8,10,12,14],[2,4,7,9,11,13,14],[2,5,6,8,9,13,14],[2,5,7,10,11,12,14],[3,4,5,7,8,9,14],[3,4,5,10,12,13,14],[3,4,6,7,8,12,13],[3,5,6,7,8,10,11],[3,5,8,9,11,12,13],[4,5,6,9,10,11,12]]; G[8426]:=Group([(1,12)(2,13)(5,8)(9,14)]); # Design 8427: autom. group order 2, simple B[8427]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,10,11,12],[1,2,5,8,11,13,14],[1,3,6,7,10,13,14],[1,3,7,9,11,12,13],[1,4,5,6,9,12,13],[1,4,5,7,10,12,14],[1,4,6,7,8,11,14],[1,6,8,9,10,12,14],[1,7,8,9,10,11,13],[2,3,6,7,8,9,12],[2,3,6,10,11,13,14],[2,4,6,7,9,11,14],[2,4,7,8,10,11,12],[2,4,9,10,12,13,14],[2,5,6,7,9,10,13],[2,5,7,8,12,13,14],[3,4,5,7,8,10,13],[3,4,5,9,10,11,14],[3,4,6,8,12,13,14],[3,5,6,8,10,11,12],[3,5,7,9,11,12,14],[4,5,6,8,9,11,13]]; G[8427]:=Group([(2,8)(3,9)(4,10)(5,14)(7,12)]); # Design 8428: autom. group order 2, simple, residual B[8428]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,5,9,10,12,14],[1,3,6,7,9,12,14],[1,3,7,10,11,12,14],[1,4,5,6,10,13,14],[1,4,5,7,9,11,13],[1,4,6,7,8,9,11],[1,6,8,10,11,13,14],[1,7,8,9,10,12,13],[2,3,6,7,9,13,14],[2,3,6,9,10,11,13],[2,4,6,7,8,10,12],[2,4,7,10,11,13,14],[2,4,8,9,11,12,14],[2,5,6,7,10,11,12],[2,5,7,8,9,13,14],[3,4,5,7,8,10,14],[3,4,5,9,10,12,13],[3,4,6,8,12,13,14],[3,5,6,8,9,10,11],[3,5,7,8,11,12,13],[4,5,6,9,11,12,14]]; G[8428]:=Group([(1,12)(2,13)(5,8)(7,14)]); # Design 8429: autom. group order 2, simple, residual B[8429]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,8,11,14],[1,2,5,10,11,12,13],[1,3,6,7,9,11,12],[1,3,7,10,11,13,14],[1,4,5,6,9,12,13],[1,4,5,7,10,12,14],[1,4,6,7,8,13,14],[1,6,7,8,9,10,13],[1,8,9,10,11,12,14],[2,3,6,7,10,12,14],[2,3,7,8,9,12,13],[2,4,6,8,10,11,13],[2,4,6,9,10,12,14],[2,4,7,9,11,13,14],[2,5,6,7,9,10,11],[2,5,7,8,12,13,14],[3,4,5,7,8,10,11],[3,4,5,9,10,13,14],[3,4,6,8,11,12,14],[3,5,6,8,10,12,13],[3,5,6,9,11,13,14],[4,5,7,8,9,11,12]]; G[8429]:=Group([(2,8)(3,9)(4,10)(5,14)(6,11)(7,12)]); # Design 8430: autom. group order 2, simple B[8430]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,10,11,12],[1,2,5,8,11,13,14],[1,3,6,7,10,13,14],[1,3,7,9,11,12,13],[1,4,5,6,9,12,13],[1,4,5,7,10,12,14],[1,4,6,7,8,11,14],[1,6,8,9,10,12,14],[1,7,8,9,10,11,13],[2,3,6,7,8,9,12],[2,3,7,10,11,12,14],[2,4,6,7,9,11,14],[2,4,6,8,10,11,13],[2,4,9,10,12,13,14],[2,5,6,7,9,10,13],[2,5,7,8,12,13,14],[3,4,5,7,8,10,13],[3,4,5,9,10,11,14],[3,4,6,8,12,13,14],[3,5,6,8,10,11,12],[3,5,6,9,11,13,14],[4,5,7,8,9,11,12]]; G[8430]:=Group([(2,8)(3,9)(4,10)(5,14)(7,12)]); # Design 8431: autom. group order 2, simple B[8431]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,9,11,14],[1,3,8,10,12,13,14],[1,4,5,6,12,13,14],[1,4,5,7,9,10,12],[1,4,9,10,11,13,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,14],[2,3,6,7,10,12,13],[2,3,6,9,10,12,14],[2,4,6,7,10,11,14],[2,4,6,8,9,11,13],[2,4,7,8,12,13,14],[2,5,7,8,9,13,14],[2,5,9,10,11,12,14],[3,4,5,6,9,13,14],[3,4,5,7,8,10,14],[3,4,7,8,9,11,12],[3,5,6,8,10,11,13],[3,5,7,9,11,12,13],[4,5,6,8,10,11,12]]; G[8431]:=Group([(2,10)(3,9)(5,13)(6,14)(7,11)]); # Design 8432: autom. group order 2, simple, residual B[8432]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,9,10,14],[1,3,7,11,12,13,14],[1,4,5,6,10,11,14],[1,4,5,7,8,13,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,11,13,14],[2,3,7,8,10,12,14],[2,4,6,7,10,13,14],[2,4,6,8,9,11,13],[2,4,7,8,10,11,12],[2,5,6,10,11,12,14],[2,5,7,8,9,13,14],[3,4,5,6,8,12,13],[3,4,5,7,9,10,11],[3,4,6,7,9,12,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,8,9,11,12,14]]; G[8432]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8433: autom. group order 2, simple, residual B[8433]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,9,13,14],[1,3,7,10,11,12,14],[1,4,5,6,10,11,14],[1,4,5,7,8,13,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,10,11,14],[2,3,7,8,12,13,14],[2,4,6,7,10,13,14],[2,4,6,8,9,11,13],[2,4,7,8,10,11,12],[2,5,6,11,12,13,14],[2,5,7,8,9,10,14],[3,4,5,6,8,10,12],[3,4,5,7,9,11,13],[3,4,6,7,9,12,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,8,9,11,12,14]]; G[8433]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8434: autom. group order 2, simple, residual B[8434]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,9,10,14],[1,3,7,11,12,13,14],[1,4,5,6,10,11,14],[1,4,5,7,8,13,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,10,11,12,14],[2,3,7,8,9,13,14],[2,4,6,7,10,13,14],[2,4,6,8,9,11,13],[2,4,7,8,10,11,12],[2,5,6,9,11,13,14],[2,5,7,8,10,12,14],[3,4,5,6,8,12,13],[3,4,5,7,9,10,11],[3,4,6,7,9,12,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,8,9,11,12,14]]; G[8434]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8435: autom. group order 2, simple, residual B[8435]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,9,13,14],[1,3,7,10,11,12,14],[1,4,5,6,10,11,14],[1,4,5,7,8,13,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,11,12,13,14],[2,3,7,8,9,10,14],[2,4,6,7,10,13,14],[2,4,6,8,9,11,13],[2,4,7,8,10,11,12],[2,5,6,9,10,11,14],[2,5,7,8,12,13,14],[3,4,5,6,8,10,12],[3,4,5,7,9,11,13],[3,4,6,7,9,12,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,8,9,11,12,14]]; G[8435]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8436: autom. group order 2, simple, residual B[8436]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,10,12,14],[1,3,7,9,11,13,14],[1,4,5,6,10,11,14],[1,4,5,7,8,13,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,10,11,14],[2,3,7,8,12,13,14],[2,4,6,7,10,13,14],[2,4,6,8,9,11,13],[2,4,7,8,10,11,12],[2,5,6,11,12,13,14],[2,5,7,8,9,10,14],[3,4,5,6,8,9,13],[3,4,5,7,10,11,12],[3,4,6,7,9,12,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,8,9,11,12,14]]; G[8436]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8437: autom. group order 2, simple, residual B[8437]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,12,13,14],[1,3,7,9,10,11,14],[1,4,5,6,10,11,14],[1,4,5,7,8,13,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,11,13,14],[2,3,7,8,10,12,14],[2,4,6,7,10,13,14],[2,4,6,8,9,11,13],[2,4,7,8,10,11,12],[2,5,6,10,11,12,14],[2,5,7,8,9,13,14],[3,4,5,6,8,9,10],[3,4,5,7,11,12,13],[3,4,6,7,9,12,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,8,9,11,12,14]]; G[8437]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8438: autom. group order 2, simple, residual B[8438]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,12,13,14],[1,3,7,9,10,11,14],[1,4,5,6,11,13,14],[1,4,5,7,8,10,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,10,11,14],[2,3,7,8,12,13,14],[2,4,6,7,10,13,14],[2,4,6,8,9,11,13],[2,4,7,8,10,11,12],[2,5,6,10,11,12,14],[2,5,7,8,9,13,14],[3,4,5,6,8,10,12],[3,4,5,7,9,11,13],[3,4,6,7,9,12,14],[3,5,6,8,9,10,13],[3,5,7,10,11,12,13],[4,5,8,9,11,12,14]]; G[8438]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8439: autom. group order 2, simple, residual B[8439]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,10,12,14],[1,3,7,9,11,13,14],[1,4,5,6,10,11,14],[1,4,5,7,8,13,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,11,12,13,14],[2,3,7,8,9,10,14],[2,4,6,7,10,13,14],[2,4,6,8,9,11,13],[2,4,7,8,10,11,12],[2,5,6,9,10,11,14],[2,5,7,8,12,13,14],[3,4,5,6,8,9,13],[3,4,5,7,10,11,12],[3,4,6,7,9,12,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,8,9,11,12,14]]; G[8439]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8440: autom. group order 2, simple, residual B[8440]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,12,13,14],[1,3,7,9,10,11,14],[1,4,5,6,10,11,14],[1,4,5,7,8,13,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,10,11,12,14],[2,3,7,8,9,13,14],[2,4,6,7,10,13,14],[2,4,6,8,9,11,13],[2,4,7,8,10,11,12],[2,5,6,9,11,13,14],[2,5,7,8,10,12,14],[3,4,5,6,8,9,10],[3,4,5,7,11,12,13],[3,4,6,7,9,12,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,8,9,11,12,14]]; G[8440]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8441: autom. group order 2, simple, residual B[8441]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,12,13,14],[1,3,7,9,10,11,14],[1,4,5,6,11,13,14],[1,4,5,7,8,10,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,10,11,12,14],[2,3,7,8,9,13,14],[2,4,6,7,10,13,14],[2,4,6,8,9,11,13],[2,4,7,8,10,11,12],[2,5,6,9,10,11,14],[2,5,7,8,12,13,14],[3,4,5,6,8,10,12],[3,4,5,7,9,11,13],[3,4,6,7,9,12,14],[3,5,6,8,9,10,13],[3,5,7,10,11,12,13],[4,5,8,9,11,12,14]]; G[8441]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8442: autom. group order 2, simple, residual B[8442]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,9,10,14],[1,3,7,11,12,13,14],[1,4,5,6,10,11,14],[1,4,5,7,8,13,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,11,13,14],[2,3,7,8,10,12,14],[2,4,6,7,10,13,14],[2,4,6,8,9,11,13],[2,4,7,8,10,11,12],[2,5,6,8,12,13,14],[2,5,7,9,10,11,14],[3,4,5,6,10,11,12],[3,4,5,7,8,9,13],[3,4,6,7,9,12,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,8,9,11,12,14]]; G[8442]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8443: autom. group order 2, simple, residual B[8443]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,9,13,14],[1,3,7,10,11,12,14],[1,4,5,6,10,11,14],[1,4,5,7,8,13,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,10,11,14],[2,3,7,8,12,13,14],[2,4,6,7,10,13,14],[2,4,6,8,9,11,13],[2,4,7,8,10,11,12],[2,5,6,8,10,12,14],[2,5,7,9,11,13,14],[3,4,5,6,11,12,13],[3,4,5,7,8,9,10],[3,4,6,7,9,12,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,8,9,11,12,14]]; G[8443]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8444: autom. group order 2, simple, residual B[8444]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,9,10,14],[1,3,7,11,12,13,14],[1,4,5,6,10,11,14],[1,4,5,7,8,13,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,10,11,12,14],[2,3,7,8,9,13,14],[2,4,6,7,10,13,14],[2,4,6,8,9,11,13],[2,4,7,8,10,11,12],[2,5,6,8,12,13,14],[2,5,7,9,10,11,14],[3,4,5,6,9,11,13],[3,4,5,7,8,10,12],[3,4,6,7,9,12,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,8,9,11,12,14]]; G[8444]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8445: autom. group order 2, simple, residual B[8445]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,9,13,14],[1,3,7,10,11,12,14],[1,4,5,6,10,11,14],[1,4,5,7,8,13,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,11,12,13,14],[2,3,7,8,9,10,14],[2,4,6,7,10,13,14],[2,4,6,8,9,11,13],[2,4,7,8,10,11,12],[2,5,6,8,10,12,14],[2,5,7,9,11,13,14],[3,4,5,6,9,10,11],[3,4,5,7,8,12,13],[3,4,6,7,9,12,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,8,9,11,12,14]]; G[8445]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8446: autom. group order 2, simple, residual B[8446]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,10,12,14],[1,3,7,9,11,13,14],[1,4,5,6,10,11,14],[1,4,5,7,8,13,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,10,11,14],[2,3,7,8,12,13,14],[2,4,6,7,10,13,14],[2,4,6,8,9,11,13],[2,4,7,8,10,11,12],[2,5,6,8,9,13,14],[2,5,7,10,11,12,14],[3,4,5,6,11,12,13],[3,4,5,7,8,9,10],[3,4,6,7,9,12,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,8,9,11,12,14]]; G[8446]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8447: autom. group order 2, simple, residual B[8447]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,12,13,14],[1,3,7,9,10,11,14],[1,4,5,6,10,11,14],[1,4,5,7,8,13,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,11,13,14],[2,3,7,8,10,12,14],[2,4,6,7,10,13,14],[2,4,6,8,9,11,13],[2,4,7,8,10,11,12],[2,5,6,8,9,10,14],[2,5,7,11,12,13,14],[3,4,5,6,10,11,12],[3,4,5,7,8,9,13],[3,4,6,7,9,12,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,8,9,11,12,14]]; G[8447]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8448: autom. group order 2, simple, residual B[8448]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,10,12,14],[1,3,7,9,11,13,14],[1,4,5,6,11,13,14],[1,4,5,7,8,10,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,10,11,14],[2,3,7,8,12,13,14],[2,4,6,7,10,13,14],[2,4,6,8,9,11,13],[2,4,7,8,10,11,12],[2,5,6,8,12,13,14],[2,5,7,9,10,11,14],[3,4,5,6,10,11,12],[3,4,5,7,8,9,13],[3,4,6,7,9,12,14],[3,5,6,8,9,10,13],[3,5,7,10,11,12,13],[4,5,8,9,11,12,14]]; G[8448]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8449: autom. group order 2, simple, residual B[8449]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,12,13,14],[1,3,7,9,10,11,14],[1,4,5,6,11,13,14],[1,4,5,7,8,10,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,10,11,14],[2,3,7,8,12,13,14],[2,4,6,7,10,13,14],[2,4,6,8,9,11,13],[2,4,7,8,10,11,12],[2,5,6,8,10,12,14],[2,5,7,9,11,13,14],[3,4,5,6,10,11,12],[3,4,5,7,8,9,13],[3,4,6,7,9,12,14],[3,5,6,8,9,10,13],[3,5,7,10,11,12,13],[4,5,8,9,11,12,14]]; G[8449]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8450: autom. group order 2, simple, residual B[8450]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,10,12,14],[1,3,7,9,11,13,14],[1,4,5,6,10,11,14],[1,4,5,7,8,13,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,11,12,13,14],[2,3,7,8,9,10,14],[2,4,6,7,10,13,14],[2,4,6,8,9,11,13],[2,4,7,8,10,11,12],[2,5,6,8,9,13,14],[2,5,7,10,11,12,14],[3,4,5,6,9,10,11],[3,4,5,7,8,12,13],[3,4,6,7,9,12,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,8,9,11,12,14]]; G[8450]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8451: autom. group order 2, simple, residual B[8451]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,12,13,14],[1,3,7,9,10,11,14],[1,4,5,6,10,11,14],[1,4,5,7,8,13,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,10,11,12,14],[2,3,7,8,9,13,14],[2,4,6,7,10,13,14],[2,4,6,8,9,11,13],[2,4,7,8,10,11,12],[2,5,6,8,9,10,14],[2,5,7,11,12,13,14],[3,4,5,6,9,11,13],[3,4,5,7,8,10,12],[3,4,6,7,9,12,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,8,9,11,12,14]]; G[8451]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8452: autom. group order 2, simple, residual B[8452]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,12,13,14],[1,3,7,9,10,11,14],[1,4,5,6,11,13,14],[1,4,5,7,8,10,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,10,11,12,14],[2,3,7,8,9,13,14],[2,4,6,7,10,13,14],[2,4,6,8,9,11,13],[2,4,7,8,10,11,12],[2,5,6,8,10,12,14],[2,5,7,9,11,13,14],[3,4,5,6,9,10,11],[3,4,5,7,8,12,13],[3,4,6,7,9,12,14],[3,5,6,8,9,10,13],[3,5,7,10,11,12,13],[4,5,8,9,11,12,14]]; G[8452]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8453: autom. group order 2, simple, residual B[8453]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,9,13,14],[1,3,7,10,11,12,14],[1,4,5,6,10,11,14],[1,4,5,7,8,13,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,11,13,14],[2,3,7,8,10,12,14],[2,4,6,7,10,13,14],[2,4,6,8,9,10,11],[2,4,7,8,11,12,13],[2,5,6,8,10,12,14],[2,5,7,9,11,13,14],[3,4,5,6,8,12,13],[3,4,5,7,9,10,11],[3,4,6,7,9,12,14],[3,5,6,10,11,12,13],[3,5,7,8,9,10,13],[4,5,8,9,11,12,14]]; G[8453]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8454: autom. group order 2, simple, residual B[8454]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,9,13,14],[1,3,7,10,11,12,14],[1,4,5,6,10,11,14],[1,4,5,7,8,13,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,11,13,14],[2,3,7,8,10,12,14],[2,4,6,7,10,13,14],[2,4,6,8,9,10,11],[2,4,7,8,11,12,13],[2,5,6,8,12,13,14],[2,5,7,9,10,11,14],[3,4,5,6,8,10,12],[3,4,5,7,9,11,13],[3,4,6,7,9,12,14],[3,5,6,10,11,12,13],[3,5,7,8,9,10,13],[4,5,8,9,11,12,14]]; G[8454]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8455: autom. group order 2, simple, residual B[8455]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,9,13,14],[1,3,7,10,11,12,14],[1,4,5,6,11,13,14],[1,4,5,7,8,10,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,10,11,12,14],[2,3,7,8,9,13,14],[2,4,6,7,10,13,14],[2,4,6,8,9,10,11],[2,4,7,8,11,12,13],[2,5,6,8,12,13,14],[2,5,7,9,10,11,14],[3,4,5,6,8,10,12],[3,4,5,7,9,11,13],[3,4,6,7,9,12,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,8,9,11,12,14]]; G[8455]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8456: autom. group order 2, simple, residual B[8456]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,10,12,14],[1,3,7,9,11,13,14],[1,4,5,6,10,11,14],[1,4,5,7,8,13,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,11,13,14],[2,3,7,8,10,12,14],[2,4,6,7,10,13,14],[2,4,6,8,9,10,11],[2,4,7,8,11,12,13],[2,5,6,8,9,13,14],[2,5,7,10,11,12,14],[3,4,5,6,8,12,13],[3,4,5,7,9,10,11],[3,4,6,7,9,12,14],[3,5,6,10,11,12,13],[3,5,7,8,9,10,13],[4,5,8,9,11,12,14]]; G[8456]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8457: autom. group order 2, simple, residual B[8457]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,10,12,14],[1,3,7,9,11,13,14],[1,4,5,6,10,11,14],[1,4,5,7,8,13,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,11,13,14],[2,3,7,8,10,12,14],[2,4,6,7,10,13,14],[2,4,6,8,9,10,11],[2,4,7,8,11,12,13],[2,5,6,8,12,13,14],[2,5,7,9,10,11,14],[3,4,5,6,8,9,13],[3,4,5,7,10,11,12],[3,4,6,7,9,12,14],[3,5,6,10,11,12,13],[3,5,7,8,9,10,13],[4,5,8,9,11,12,14]]; G[8457]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8458: autom. group order 2, simple, residual B[8458]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,12,13,14],[1,3,7,9,10,11,14],[1,4,5,6,10,11,14],[1,4,5,7,8,13,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,11,13,14],[2,3,7,8,10,12,14],[2,4,6,7,10,13,14],[2,4,6,8,9,10,11],[2,4,7,8,11,12,13],[2,5,6,8,10,12,14],[2,5,7,9,11,13,14],[3,4,5,6,8,9,13],[3,4,5,7,10,11,12],[3,4,6,7,9,12,14],[3,5,6,10,11,12,13],[3,5,7,8,9,10,13],[4,5,8,9,11,12,14]]; G[8458]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8459: autom. group order 2, simple, residual B[8459]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,12,13,14],[1,3,7,9,10,11,14],[1,4,5,6,11,13,14],[1,4,5,7,8,10,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,10,11,12,14],[2,3,7,8,9,13,14],[2,4,6,7,10,13,14],[2,4,6,8,9,10,11],[2,4,7,8,11,12,13],[2,5,6,8,9,13,14],[2,5,7,10,11,12,14],[3,4,5,6,8,10,12],[3,4,5,7,9,11,13],[3,4,6,7,9,12,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,8,9,11,12,14]]; G[8459]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8460: autom. group order 2, simple, residual B[8460]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,9,10,14],[1,3,7,11,12,13,14],[1,4,5,6,10,11,14],[1,4,5,7,8,13,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,8,12,13,14],[2,3,7,9,10,11,14],[2,4,6,7,10,13,14],[2,4,6,8,9,11,13],[2,4,7,8,10,11,12],[2,5,6,9,11,13,14],[2,5,7,8,10,12,14],[3,4,5,6,10,11,12],[3,4,5,7,8,9,13],[3,4,6,7,9,12,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,8,9,11,12,14]]; G[8460]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8461: autom. group order 2, simple, residual B[8461]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,9,13,14],[1,3,7,10,11,12,14],[1,4,5,6,10,11,14],[1,4,5,7,8,13,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,8,10,12,14],[2,3,7,9,11,13,14],[2,4,6,7,10,13,14],[2,4,6,8,9,11,13],[2,4,7,8,10,11,12],[2,5,6,9,10,11,14],[2,5,7,8,12,13,14],[3,4,5,6,11,12,13],[3,4,5,7,8,9,10],[3,4,6,7,9,12,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,8,9,11,12,14]]; G[8461]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8462: autom. group order 2, simple, residual B[8462]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,9,10,14],[1,3,7,11,12,13,14],[1,4,5,6,10,11,14],[1,4,5,7,8,13,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,8,12,13,14],[2,3,7,9,10,11,14],[2,4,6,7,10,13,14],[2,4,6,8,9,11,13],[2,4,7,8,10,11,12],[2,5,6,10,11,12,14],[2,5,7,8,9,13,14],[3,4,5,6,9,11,13],[3,4,5,7,8,10,12],[3,4,6,7,9,12,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,8,9,11,12,14]]; G[8462]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8463: autom. group order 2, simple, residual B[8463]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,9,13,14],[1,3,7,10,11,12,14],[1,4,5,6,10,11,14],[1,4,5,7,8,13,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,8,10,12,14],[2,3,7,9,11,13,14],[2,4,6,7,10,13,14],[2,4,6,8,9,11,13],[2,4,7,8,10,11,12],[2,5,6,11,12,13,14],[2,5,7,8,9,10,14],[3,4,5,6,9,10,11],[3,4,5,7,8,12,13],[3,4,6,7,9,12,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,8,9,11,12,14]]; G[8463]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8464: autom. group order 2, simple, residual B[8464]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,10,12,14],[1,3,7,9,11,13,14],[1,4,5,6,10,11,14],[1,4,5,7,8,13,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,8,9,13,14],[2,3,7,10,11,12,14],[2,4,6,7,10,13,14],[2,4,6,8,9,11,13],[2,4,7,8,10,11,12],[2,5,6,9,10,11,14],[2,5,7,8,12,13,14],[3,4,5,6,11,12,13],[3,4,5,7,8,9,10],[3,4,6,7,9,12,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,8,9,11,12,14]]; G[8464]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8465: autom. group order 2, simple, residual B[8465]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,12,13,14],[1,3,7,9,10,11,14],[1,4,5,6,10,11,14],[1,4,5,7,8,13,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,8,9,10,14],[2,3,7,11,12,13,14],[2,4,6,7,10,13,14],[2,4,6,8,9,11,13],[2,4,7,8,10,11,12],[2,5,6,9,11,13,14],[2,5,7,8,10,12,14],[3,4,5,6,10,11,12],[3,4,5,7,8,9,13],[3,4,6,7,9,12,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,8,9,11,12,14]]; G[8465]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8466: autom. group order 2, simple, residual B[8466]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,10,12,14],[1,3,7,9,11,13,14],[1,4,5,6,10,11,14],[1,4,5,7,8,13,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,8,9,13,14],[2,3,7,10,11,12,14],[2,4,6,7,10,13,14],[2,4,6,8,9,11,13],[2,4,7,8,10,11,12],[2,5,6,11,12,13,14],[2,5,7,8,9,10,14],[3,4,5,6,9,10,11],[3,4,5,7,8,12,13],[3,4,6,7,9,12,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,8,9,11,12,14]]; G[8466]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8467: autom. group order 2, simple, residual B[8467]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,12,13,14],[1,3,7,9,10,11,14],[1,4,5,6,10,11,14],[1,4,5,7,8,13,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,8,9,10,14],[2,3,7,11,12,13,14],[2,4,6,7,10,13,14],[2,4,6,8,9,11,13],[2,4,7,8,10,11,12],[2,5,6,10,11,12,14],[2,5,7,8,9,13,14],[3,4,5,6,9,11,13],[3,4,5,7,8,10,12],[3,4,6,7,9,12,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,8,9,11,12,14]]; G[8467]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8468: autom. group order 2, simple, residual B[8468]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,9,13,14],[1,3,7,10,11,12,14],[1,4,5,6,10,11,14],[1,4,5,7,8,13,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,8,10,12,14],[2,3,7,9,11,13,14],[2,4,6,7,10,13,14],[2,4,6,8,9,10,11],[2,4,7,8,11,12,13],[2,5,6,9,11,13,14],[2,5,7,8,10,12,14],[3,4,5,6,8,12,13],[3,4,5,7,9,10,11],[3,4,6,7,9,12,14],[3,5,6,10,11,12,13],[3,5,7,8,9,10,13],[4,5,8,9,11,12,14]]; G[8468]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8469: autom. group order 2, simple, residual B[8469]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,9,13,14],[1,3,7,10,11,12,14],[1,4,5,6,10,11,14],[1,4,5,7,8,13,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,8,12,13,14],[2,3,7,9,10,11,14],[2,4,6,7,10,13,14],[2,4,6,8,9,10,11],[2,4,7,8,11,12,13],[2,5,6,9,11,13,14],[2,5,7,8,10,12,14],[3,4,5,6,8,10,12],[3,4,5,7,9,11,13],[3,4,6,7,9,12,14],[3,5,6,10,11,12,13],[3,5,7,8,9,10,13],[4,5,8,9,11,12,14]]; G[8469]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8470: autom. group order 2, simple, residual B[8470]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,9,13,14],[1,3,7,10,11,12,14],[1,4,5,6,11,13,14],[1,4,5,7,8,10,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,8,12,13,14],[2,3,7,9,10,11,14],[2,4,6,7,10,13,14],[2,4,6,8,9,10,11],[2,4,7,8,11,12,13],[2,5,6,10,11,12,14],[2,5,7,8,9,13,14],[3,4,5,6,8,10,12],[3,4,5,7,9,11,13],[3,4,6,7,9,12,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,8,9,11,12,14]]; G[8470]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8471: autom. group order 2, simple, residual B[8471]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,10,12,14],[1,3,7,9,11,13,14],[1,4,5,6,10,11,14],[1,4,5,7,8,13,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,8,9,13,14],[2,3,7,10,11,12,14],[2,4,6,7,10,13,14],[2,4,6,8,9,10,11],[2,4,7,8,11,12,13],[2,5,6,9,11,13,14],[2,5,7,8,10,12,14],[3,4,5,6,8,12,13],[3,4,5,7,9,10,11],[3,4,6,7,9,12,14],[3,5,6,10,11,12,13],[3,5,7,8,9,10,13],[4,5,8,9,11,12,14]]; G[8471]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8472: autom. group order 2, simple, residual B[8472]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,10,12,14],[1,3,7,9,11,13,14],[1,4,5,6,11,13,14],[1,4,5,7,8,10,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,8,9,13,14],[2,3,7,10,11,12,14],[2,4,6,7,10,13,14],[2,4,6,8,9,10,11],[2,4,7,8,11,12,13],[2,5,6,10,11,12,14],[2,5,7,8,9,13,14],[3,4,5,6,8,12,13],[3,4,5,7,9,10,11],[3,4,6,7,9,12,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,8,9,11,12,14]]; G[8472]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8473: autom. group order 2, simple, residual B[8473]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,12,13,14],[1,3,7,9,10,11,14],[1,4,5,6,11,13,14],[1,4,5,7,8,10,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,8,9,13,14],[2,3,7,10,11,12,14],[2,4,6,7,10,13,14],[2,4,6,8,9,10,11],[2,4,7,8,11,12,13],[2,5,6,10,11,12,14],[2,5,7,8,9,13,14],[3,4,5,6,8,10,12],[3,4,5,7,9,11,13],[3,4,6,7,9,12,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,8,9,11,12,14]]; G[8473]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8474: autom. group order 2, simple, residual B[8474]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,9,13,14],[1,3,7,10,11,12,14],[1,4,5,6,10,11,14],[1,4,5,7,8,13,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,8,10,12,14],[2,3,7,9,11,13,14],[2,4,6,7,10,13,14],[2,4,6,8,9,10,11],[2,4,7,8,11,12,13],[2,5,6,8,12,13,14],[2,5,7,9,10,11,14],[3,4,5,6,9,11,13],[3,4,5,7,8,10,12],[3,4,6,7,9,12,14],[3,5,6,10,11,12,13],[3,5,7,8,9,10,13],[4,5,8,9,11,12,14]]; G[8474]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8475: autom. group order 2, simple, residual B[8475]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,9,13,14],[1,3,7,10,11,12,14],[1,4,5,6,10,11,14],[1,4,5,7,8,13,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,8,12,13,14],[2,3,7,9,10,11,14],[2,4,6,7,10,13,14],[2,4,6,8,9,10,11],[2,4,7,8,11,12,13],[2,5,6,8,10,12,14],[2,5,7,9,11,13,14],[3,4,5,6,9,11,13],[3,4,5,7,8,10,12],[3,4,6,7,9,12,14],[3,5,6,10,11,12,13],[3,5,7,8,9,10,13],[4,5,8,9,11,12,14]]; G[8475]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8476: autom. group order 2, simple, residual B[8476]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,9,13,14],[1,3,7,10,11,12,14],[1,4,5,6,11,13,14],[1,4,5,7,8,10,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,8,10,12,14],[2,3,7,9,11,13,14],[2,4,6,7,10,13,14],[2,4,6,8,9,10,11],[2,4,7,8,11,12,13],[2,5,6,8,12,13,14],[2,5,7,9,10,11,14],[3,4,5,6,10,11,12],[3,4,5,7,8,9,13],[3,4,6,7,9,12,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,8,9,11,12,14]]; G[8476]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8477: autom. group order 2, simple, residual B[8477]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,9,13,14],[1,3,7,10,11,12,14],[1,4,5,6,11,13,14],[1,4,5,7,8,10,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,8,12,13,14],[2,3,7,9,10,11,14],[2,4,6,7,10,13,14],[2,4,6,8,9,10,11],[2,4,7,8,11,12,13],[2,5,6,8,10,12,14],[2,5,7,9,11,13,14],[3,4,5,6,10,11,12],[3,4,5,7,8,9,13],[3,4,6,7,9,12,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,8,9,11,12,14]]; G[8477]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8478: autom. group order 2, simple, residual B[8478]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,10,12,14],[1,3,7,9,11,13,14],[1,4,5,6,10,11,14],[1,4,5,7,8,13,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,8,9,13,14],[2,3,7,10,11,12,14],[2,4,6,7,10,13,14],[2,4,6,8,9,10,11],[2,4,7,8,11,12,13],[2,5,6,8,12,13,14],[2,5,7,9,10,11,14],[3,4,5,6,9,11,13],[3,4,5,7,8,10,12],[3,4,6,7,9,12,14],[3,5,6,10,11,12,13],[3,5,7,8,9,10,13],[4,5,8,9,11,12,14]]; G[8478]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8479: autom. group order 2, simple, residual B[8479]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,12,13,14],[1,3,7,9,10,11,14],[1,4,5,6,10,11,14],[1,4,5,7,8,13,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,8,9,13,14],[2,3,7,10,11,12,14],[2,4,6,7,10,13,14],[2,4,6,8,9,10,11],[2,4,7,8,11,12,13],[2,5,6,8,10,12,14],[2,5,7,9,11,13,14],[3,4,5,6,9,11,13],[3,4,5,7,8,10,12],[3,4,6,7,9,12,14],[3,5,6,10,11,12,13],[3,5,7,8,9,10,13],[4,5,8,9,11,12,14]]; G[8479]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8480: autom. group order 2, simple, residual B[8480]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,12,13,14],[1,3,7,9,10,11,14],[1,4,5,6,11,13,14],[1,4,5,7,8,10,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,8,9,13,14],[2,3,7,10,11,12,14],[2,4,6,7,10,13,14],[2,4,6,8,9,10,11],[2,4,7,8,11,12,13],[2,5,6,8,10,12,14],[2,5,7,9,11,13,14],[3,4,5,6,10,11,12],[3,4,5,7,8,9,13],[3,4,6,7,9,12,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,8,9,11,12,14]]; G[8480]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8481: autom. group order 2, simple, residual B[8481]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,9,13,14],[1,3,7,10,11,12,14],[1,4,5,6,8,10,14],[1,4,5,7,11,13,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,10,11,14],[2,3,7,8,12,13,14],[2,4,6,7,10,13,14],[2,4,6,8,11,12,13],[2,4,7,8,9,10,11],[2,5,6,9,11,13,14],[2,5,7,8,10,12,14],[3,4,5,6,10,11,12],[3,4,5,7,8,9,13],[3,4,6,7,9,12,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,8,9,11,12,14]]; G[8481]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8482: autom. group order 2, simple, residual B[8482]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,9,13,14],[1,3,7,10,11,12,14],[1,4,5,6,8,10,14],[1,4,5,7,11,13,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,10,11,12,14],[2,3,7,8,9,13,14],[2,4,6,7,10,13,14],[2,4,6,8,11,12,13],[2,4,7,8,9,10,11],[2,5,6,9,11,13,14],[2,5,7,8,10,12,14],[3,4,5,6,9,10,11],[3,4,5,7,8,12,13],[3,4,6,7,9,12,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,8,9,11,12,14]]; G[8482]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8483: autom. group order 2, simple, residual B[8483]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,10,12,14],[1,3,7,9,11,13,14],[1,4,5,6,8,13,14],[1,4,5,7,10,11,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,10,11,14],[2,3,7,8,12,13,14],[2,4,6,7,10,13,14],[2,4,6,8,11,12,13],[2,4,7,8,9,10,11],[2,5,6,9,11,13,14],[2,5,7,8,10,12,14],[3,4,5,6,10,11,12],[3,4,5,7,8,9,13],[3,4,6,7,9,12,14],[3,5,6,8,9,10,13],[3,5,7,10,11,12,13],[4,5,8,9,11,12,14]]; G[8483]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8484: autom. group order 2, simple, residual B[8484]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,10,12,14],[1,3,7,9,11,13,14],[1,4,5,6,8,13,14],[1,4,5,7,10,11,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,11,13,14],[2,3,7,8,10,12,14],[2,4,6,7,10,13,14],[2,4,6,8,11,12,13],[2,4,7,8,9,10,11],[2,5,6,9,10,11,14],[2,5,7,8,12,13,14],[3,4,5,6,10,11,12],[3,4,5,7,8,9,13],[3,4,6,7,9,12,14],[3,5,6,8,9,10,13],[3,5,7,10,11,12,13],[4,5,8,9,11,12,14]]; G[8484]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8485: autom. group order 2, simple, residual B[8485]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,10,12,14],[1,3,7,9,11,13,14],[1,4,5,6,8,13,14],[1,4,5,7,10,11,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,11,13,14],[2,3,7,8,10,12,14],[2,4,6,7,10,13,14],[2,4,6,8,11,12,13],[2,4,7,8,9,10,11],[2,5,6,10,11,12,14],[2,5,7,8,9,13,14],[3,4,5,6,9,10,11],[3,4,5,7,8,12,13],[3,4,6,7,9,12,14],[3,5,6,8,9,10,13],[3,5,7,10,11,12,13],[4,5,8,9,11,12,14]]; G[8485]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8486: autom. group order 2, simple, residual B[8486]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,10,12,14],[1,3,7,9,11,13,14],[1,4,5,6,8,13,14],[1,4,5,7,10,11,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,10,11,12,14],[2,3,7,8,9,13,14],[2,4,6,7,10,13,14],[2,4,6,8,11,12,13],[2,4,7,8,9,10,11],[2,5,6,9,11,13,14],[2,5,7,8,10,12,14],[3,4,5,6,9,10,11],[3,4,5,7,8,12,13],[3,4,6,7,9,12,14],[3,5,6,8,9,10,13],[3,5,7,10,11,12,13],[4,5,8,9,11,12,14]]; G[8486]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8487: autom. group order 2, simple, residual B[8487]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,9,13,14],[1,3,7,10,11,12,14],[1,4,5,6,8,10,14],[1,4,5,7,11,13,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,10,11,14],[2,3,7,8,12,13,14],[2,4,6,7,10,13,14],[2,4,6,8,10,11,12],[2,4,7,8,9,11,13],[2,5,6,9,11,13,14],[2,5,7,8,10,12,14],[3,4,5,6,8,12,13],[3,4,5,7,9,10,11],[3,4,6,7,9,12,14],[3,5,6,10,11,12,13],[3,5,7,8,9,10,13],[4,5,8,9,11,12,14]]; G[8487]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8488: autom. group order 2, simple, residual B[8488]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,9,10,14],[1,3,7,11,12,13,14],[1,4,5,6,8,13,14],[1,4,5,7,10,11,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,11,13,14],[2,3,7,8,10,12,14],[2,4,6,7,10,13,14],[2,4,6,8,10,11,12],[2,4,7,8,9,11,13],[2,5,6,10,11,12,14],[2,5,7,8,9,13,14],[3,4,5,6,8,12,13],[3,4,5,7,9,10,11],[3,4,6,7,9,12,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,8,9,11,12,14]]; G[8488]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8489: autom. group order 2, simple, residual B[8489]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,9,10,14],[1,3,7,11,12,13,14],[1,4,5,6,8,13,14],[1,4,5,7,10,11,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,10,11,12,14],[2,3,7,8,9,13,14],[2,4,6,7,10,13,14],[2,4,6,8,10,11,12],[2,4,7,8,9,11,13],[2,5,6,9,11,13,14],[2,5,7,8,10,12,14],[3,4,5,6,8,12,13],[3,4,5,7,9,10,11],[3,4,6,7,9,12,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,8,9,11,12,14]]; G[8489]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8490: autom. group order 2, simple, residual B[8490]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,12,13,14],[1,3,7,9,10,11,14],[1,4,5,6,8,10,14],[1,4,5,7,11,13,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,10,11,14],[2,3,7,8,12,13,14],[2,4,6,7,10,13,14],[2,4,6,8,10,11,12],[2,4,7,8,9,11,13],[2,5,6,9,11,13,14],[2,5,7,8,10,12,14],[3,4,5,6,8,9,13],[3,4,5,7,10,11,12],[3,4,6,7,9,12,14],[3,5,6,10,11,12,13],[3,5,7,8,9,10,13],[4,5,8,9,11,12,14]]; G[8490]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8491: autom. group order 2, simple, residual B[8491]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,12,13,14],[1,3,7,9,10,11,14],[1,4,5,6,8,10,14],[1,4,5,7,11,13,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,11,13,14],[2,3,7,8,10,12,14],[2,4,6,7,10,13,14],[2,4,6,8,10,11,12],[2,4,7,8,9,11,13],[2,5,6,9,10,11,14],[2,5,7,8,12,13,14],[3,4,5,6,8,9,13],[3,4,5,7,10,11,12],[3,4,6,7,9,12,14],[3,5,6,10,11,12,13],[3,5,7,8,9,10,13],[4,5,8,9,11,12,14]]; G[8491]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8492: autom. group order 2, simple, residual B[8492]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,10,12,14],[1,3,7,9,11,13,14],[1,4,5,6,8,13,14],[1,4,5,7,10,11,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,10,11,14],[2,3,7,8,12,13,14],[2,4,6,7,10,13,14],[2,4,6,8,10,11,12],[2,4,7,8,9,11,13],[2,5,6,11,12,13,14],[2,5,7,8,9,10,14],[3,4,5,6,8,9,13],[3,4,5,7,10,11,12],[3,4,6,7,9,12,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,8,9,11,12,14]]; G[8492]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8493: autom. group order 2, simple, residual B[8493]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,10,12,14],[1,3,7,9,11,13,14],[1,4,5,6,8,13,14],[1,4,5,7,10,11,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,11,12,13,14],[2,3,7,8,9,10,14],[2,4,6,7,10,13,14],[2,4,6,8,10,11,12],[2,4,7,8,9,11,13],[2,5,6,9,10,11,14],[2,5,7,8,12,13,14],[3,4,5,6,8,9,13],[3,4,5,7,10,11,12],[3,4,6,7,9,12,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,8,9,11,12,14]]; G[8493]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8494: autom. group order 2, simple, residual B[8494]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,9,13,14],[1,3,7,10,11,12,14],[1,4,5,6,8,10,14],[1,4,5,7,11,13,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,10,11,14],[2,3,7,8,12,13,14],[2,4,6,7,10,13,14],[2,4,6,8,10,11,12],[2,4,7,8,9,11,13],[2,5,6,8,12,13,14],[2,5,7,9,10,11,14],[3,4,5,6,9,11,13],[3,4,5,7,8,10,12],[3,4,6,7,9,12,14],[3,5,6,10,11,12,13],[3,5,7,8,9,10,13],[4,5,8,9,11,12,14]]; G[8494]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8495: autom. group order 2, simple, residual B[8495]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,9,10,14],[1,3,7,11,12,13,14],[1,4,5,6,8,13,14],[1,4,5,7,10,11,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,11,13,14],[2,3,7,8,10,12,14],[2,4,6,7,10,13,14],[2,4,6,8,10,11,12],[2,4,7,8,9,11,13],[2,5,6,8,12,13,14],[2,5,7,9,10,11,14],[3,4,5,6,10,11,12],[3,4,5,7,8,9,13],[3,4,6,7,9,12,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,8,9,11,12,14]]; G[8495]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8496: autom. group order 2, simple, residual B[8496]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,9,10,14],[1,3,7,11,12,13,14],[1,4,5,6,8,13,14],[1,4,5,7,10,11,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,10,11,12,14],[2,3,7,8,9,13,14],[2,4,6,7,10,13,14],[2,4,6,8,10,11,12],[2,4,7,8,9,11,13],[2,5,6,8,12,13,14],[2,5,7,9,10,11,14],[3,4,5,6,9,11,13],[3,4,5,7,8,10,12],[3,4,6,7,9,12,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,8,9,11,12,14]]; G[8496]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8497: autom. group order 2, simple, residual B[8497]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,12,13,14],[1,3,7,9,10,11,14],[1,4,5,6,8,10,14],[1,4,5,7,11,13,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,10,11,14],[2,3,7,8,12,13,14],[2,4,6,7,10,13,14],[2,4,6,8,10,11,12],[2,4,7,8,9,11,13],[2,5,6,8,9,13,14],[2,5,7,10,11,12,14],[3,4,5,6,9,11,13],[3,4,5,7,8,10,12],[3,4,6,7,9,12,14],[3,5,6,10,11,12,13],[3,5,7,8,9,10,13],[4,5,8,9,11,12,14]]; G[8497]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8498: autom. group order 2, simple, residual B[8498]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,10,12,14],[1,3,7,9,11,13,14],[1,4,5,6,8,13,14],[1,4,5,7,10,11,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,10,11,14],[2,3,7,8,12,13,14],[2,4,6,7,10,13,14],[2,4,6,8,10,11,12],[2,4,7,8,9,11,13],[2,5,6,8,9,13,14],[2,5,7,10,11,12,14],[3,4,5,6,11,12,13],[3,4,5,7,8,9,10],[3,4,6,7,9,12,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,8,9,11,12,14]]; G[8498]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8499: autom. group order 2, simple, residual B[8499]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,10,12,14],[1,3,7,9,11,13,14],[1,4,5,6,8,13,14],[1,4,5,7,10,11,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,11,12,13,14],[2,3,7,8,9,10,14],[2,4,6,7,10,13,14],[2,4,6,8,10,11,12],[2,4,7,8,9,11,13],[2,5,6,8,9,13,14],[2,5,7,10,11,12,14],[3,4,5,6,9,10,11],[3,4,5,7,8,12,13],[3,4,6,7,9,12,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,8,9,11,12,14]]; G[8499]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8500: autom. group order 2, simple, residual B[8500]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,9,13,14],[1,3,7,10,11,12,14],[1,4,5,6,8,10,14],[1,4,5,7,11,13,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,8,12,13,14],[2,3,7,9,10,11,14],[2,4,6,7,10,13,14],[2,4,6,8,10,11,12],[2,4,7,8,9,11,13],[2,5,6,9,10,11,14],[2,5,7,8,12,13,14],[3,4,5,6,9,11,13],[3,4,5,7,8,10,12],[3,4,6,7,9,12,14],[3,5,6,10,11,12,13],[3,5,7,8,9,10,13],[4,5,8,9,11,12,14]]; G[8500]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8501: autom. group order 2, simple, residual B[8501]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,9,13,14],[1,3,7,10,11,12,14],[1,4,5,6,8,10,14],[1,4,5,7,11,13,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,8,12,13,14],[2,3,7,9,10,11,14],[2,4,6,7,10,13,14],[2,4,6,8,10,11,12],[2,4,7,8,9,11,13],[2,5,6,9,11,13,14],[2,5,7,8,10,12,14],[3,4,5,6,9,10,11],[3,4,5,7,8,12,13],[3,4,6,7,9,12,14],[3,5,6,10,11,12,13],[3,5,7,8,9,10,13],[4,5,8,9,11,12,14]]; G[8501]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8502: autom. group order 2, simple, residual B[8502]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,9,10,14],[1,3,7,11,12,13,14],[1,4,5,6,8,13,14],[1,4,5,7,10,11,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,8,12,13,14],[2,3,7,9,10,11,14],[2,4,6,7,10,13,14],[2,4,6,8,10,11,12],[2,4,7,8,9,11,13],[2,5,6,9,11,13,14],[2,5,7,8,10,12,14],[3,4,5,6,10,11,12],[3,4,5,7,8,9,13],[3,4,6,7,9,12,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,8,9,11,12,14]]; G[8502]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8503: autom. group order 2, simple, residual B[8503]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,9,10,14],[1,3,7,11,12,13,14],[1,4,5,6,8,13,14],[1,4,5,7,10,11,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,8,12,13,14],[2,3,7,9,10,11,14],[2,4,6,7,10,13,14],[2,4,6,8,10,11,12],[2,4,7,8,9,11,13],[2,5,6,10,11,12,14],[2,5,7,8,9,13,14],[3,4,5,6,9,11,13],[3,4,5,7,8,10,12],[3,4,6,7,9,12,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,8,9,11,12,14]]; G[8503]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8504: autom. group order 2, simple, residual B[8504]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,12,13,14],[1,3,7,9,10,11,14],[1,4,5,6,8,10,14],[1,4,5,7,11,13,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,8,9,13,14],[2,3,7,10,11,12,14],[2,4,6,7,10,13,14],[2,4,6,8,10,11,12],[2,4,7,8,9,11,13],[2,5,6,9,10,11,14],[2,5,7,8,12,13,14],[3,4,5,6,9,11,13],[3,4,5,7,8,10,12],[3,4,6,7,9,12,14],[3,5,6,10,11,12,13],[3,5,7,8,9,10,13],[4,5,8,9,11,12,14]]; G[8504]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8505: autom. group order 2, simple, residual B[8505]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,10,12,14],[1,3,7,9,11,13,14],[1,4,5,6,8,13,14],[1,4,5,7,10,11,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,8,9,13,14],[2,3,7,10,11,12,14],[2,4,6,7,10,13,14],[2,4,6,8,10,11,12],[2,4,7,8,9,11,13],[2,5,6,9,10,11,14],[2,5,7,8,12,13,14],[3,4,5,6,11,12,13],[3,4,5,7,8,9,10],[3,4,6,7,9,12,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,8,9,11,12,14]]; G[8505]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8506: autom. group order 2, simple, residual B[8506]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,12,13],[1,3,6,8,10,12,14],[1,3,7,9,11,13,14],[1,4,5,6,8,13,14],[1,4,5,7,10,11,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,8,9,13,14],[2,3,7,10,11,12,14],[2,4,6,7,10,13,14],[2,4,6,8,10,11,12],[2,4,7,8,9,11,13],[2,5,6,11,12,13,14],[2,5,7,8,9,10,14],[3,4,5,6,9,10,11],[3,4,5,7,8,12,13],[3,4,6,7,9,12,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,8,9,11,12,14]]; G[8506]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8507: autom. group order 2, simple, residual B[8507]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,14],[1,2,5,7,12,13,14],[1,3,6,7,9,12,14],[1,3,8,10,11,13,14],[1,4,5,6,8,9,13],[1,4,5,7,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,10,11,12],[2,3,7,8,9,12,13],[2,4,6,7,8,11,14],[2,4,6,9,11,13,14],[2,4,7,8,10,12,14],[2,5,6,10,11,12,13],[2,5,7,8,9,10,13],[3,4,5,6,8,10,12],[3,4,5,7,9,11,13],[3,4,6,7,10,13,14],[3,5,6,8,12,13,14],[3,5,7,9,10,11,14],[4,5,8,9,11,12,14]]; G[8507]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8508: autom. group order 2, simple, residual B[8508]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,14],[1,2,5,7,12,13,14],[1,3,6,7,9,12,14],[1,3,8,10,11,13,14],[1,4,5,6,8,9,13],[1,4,5,7,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,10,11,12],[2,3,7,8,9,12,13],[2,4,6,7,8,11,14],[2,4,6,9,11,13,14],[2,4,7,8,10,12,14],[2,5,6,10,11,12,13],[2,5,7,8,9,10,13],[3,4,5,6,8,12,13],[3,4,5,7,9,10,11],[3,4,6,7,10,13,14],[3,5,6,8,10,12,14],[3,5,7,9,11,13,14],[4,5,8,9,11,12,14]]; G[8508]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8509: autom. group order 2, simple, residual B[8509]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,14],[1,2,5,7,12,13,14],[1,3,6,7,9,12,14],[1,3,8,10,11,13,14],[1,4,5,6,8,9,13],[1,4,5,7,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,11,12,13],[2,3,7,8,9,10,12],[2,4,6,7,8,11,14],[2,4,6,10,11,12,14],[2,4,7,8,9,13,14],[2,5,6,9,10,11,13],[2,5,7,8,10,12,13],[3,4,5,6,8,10,12],[3,4,5,7,9,11,13],[3,4,6,7,10,13,14],[3,5,6,8,12,13,14],[3,5,7,9,10,11,14],[4,5,8,9,11,12,14]]; G[8509]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8510: autom. group order 2, simple, residual B[8510]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,14],[1,2,5,7,12,13,14],[1,3,6,7,9,12,14],[1,3,8,10,11,13,14],[1,4,5,6,8,9,13],[1,4,5,7,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,11,12,13],[2,3,7,8,9,10,12],[2,4,6,7,8,11,14],[2,4,6,10,11,12,14],[2,4,7,8,9,13,14],[2,5,6,9,10,11,13],[2,5,7,8,10,12,13],[3,4,5,6,8,12,13],[3,4,5,7,9,10,11],[3,4,6,7,10,13,14],[3,5,6,8,10,12,14],[3,5,7,9,11,13,14],[4,5,8,9,11,12,14]]; G[8510]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8511: autom. group order 2, simple, residual B[8511]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,14],[1,2,5,7,12,13,14],[1,3,6,7,9,12,14],[1,3,8,10,11,13,14],[1,4,5,6,8,10,12],[1,4,5,7,9,11,13],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,10,11,12],[2,3,7,8,9,12,13],[2,4,6,7,8,11,14],[2,4,6,9,11,13,14],[2,4,7,8,10,12,14],[2,5,6,10,11,12,13],[2,5,7,8,9,10,13],[3,4,5,6,8,9,13],[3,4,5,7,10,11,12],[3,4,6,7,10,13,14],[3,5,6,8,12,13,14],[3,5,7,9,10,11,14],[4,5,8,9,11,12,14]]; G[8511]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8512: autom. group order 2, simple, residual B[8512]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,14],[1,2,5,7,12,13,14],[1,3,6,7,9,12,14],[1,3,8,10,11,13,14],[1,4,5,6,8,12,13],[1,4,5,7,9,10,11],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,10,11,12],[2,3,7,8,9,12,13],[2,4,6,7,8,11,14],[2,4,6,9,11,13,14],[2,4,7,8,10,12,14],[2,5,6,10,11,12,13],[2,5,7,8,9,10,13],[3,4,5,6,8,9,13],[3,4,5,7,10,11,12],[3,4,6,7,10,13,14],[3,5,6,8,10,12,14],[3,5,7,9,11,13,14],[4,5,8,9,11,12,14]]; G[8512]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8513: autom. group order 2, simple, residual B[8513]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,14],[1,2,5,7,12,13,14],[1,3,6,7,9,12,14],[1,3,8,10,11,13,14],[1,4,5,6,8,10,12],[1,4,5,7,9,11,13],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,11,12,13],[2,3,7,8,9,10,12],[2,4,6,7,8,11,14],[2,4,6,10,11,12,14],[2,4,7,8,9,13,14],[2,5,6,9,10,11,13],[2,5,7,8,10,12,13],[3,4,5,6,8,9,13],[3,4,5,7,10,11,12],[3,4,6,7,10,13,14],[3,5,6,8,12,13,14],[3,5,7,9,10,11,14],[4,5,8,9,11,12,14]]; G[8513]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8514: autom. group order 2, simple, residual B[8514]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,14],[1,2,5,7,12,13,14],[1,3,6,7,9,12,14],[1,3,8,10,11,13,14],[1,4,5,6,8,12,13],[1,4,5,7,9,10,11],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,11,12,13],[2,3,7,8,9,10,12],[2,4,6,7,8,11,14],[2,4,6,10,11,12,14],[2,4,7,8,9,13,14],[2,5,6,9,10,11,13],[2,5,7,8,10,12,13],[3,4,5,6,8,9,13],[3,4,5,7,10,11,12],[3,4,6,7,10,13,14],[3,5,6,8,10,12,14],[3,5,7,9,11,13,14],[4,5,8,9,11,12,14]]; G[8514]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8515: autom. group order 2, simple, residual B[8515]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,7,10,13,14],[1,3,6,7,9,13,14],[1,3,8,10,11,12,14],[1,4,5,6,8,9,10],[1,4,5,7,11,12,13],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,9,10,11,13],[2,3,7,8,9,12,13],[2,4,6,7,8,11,14],[2,4,6,9,11,12,14],[2,4,7,8,10,13,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,12],[3,4,5,6,10,11,13],[3,4,5,7,8,9,12],[3,4,6,7,10,12,14],[3,5,6,8,12,13,14],[3,5,7,9,10,11,14],[4,5,8,9,11,13,14]]; G[8515]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8516: autom. group order 2, simple, residual B[8516]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,7,10,13,14],[1,3,6,7,9,13,14],[1,3,8,10,11,12,14],[1,4,5,6,8,9,12],[1,4,5,7,10,11,13],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,9,10,11,13],[2,3,7,8,9,12,13],[2,4,6,7,8,11,14],[2,4,6,11,12,13,14],[2,4,7,8,9,10,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,12],[3,4,5,6,9,10,11],[3,4,5,7,8,12,13],[3,4,6,7,10,12,14],[3,5,6,8,10,13,14],[3,5,7,9,11,12,14],[4,5,8,9,11,13,14]]; G[8516]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8517: autom. group order 2, simple, residual B[8517]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,7,10,13,14],[1,3,6,7,9,13,14],[1,3,8,10,11,12,14],[1,4,5,6,8,12,13],[1,4,5,7,9,10,11],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,9,10,11,13],[2,3,7,8,9,12,13],[2,4,6,7,8,11,14],[2,4,6,9,11,12,14],[2,4,7,8,10,13,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,12],[3,4,5,6,10,11,13],[3,4,5,7,8,9,12],[3,4,6,7,10,12,14],[3,5,6,8,9,10,14],[3,5,7,11,12,13,14],[4,5,8,9,11,13,14]]; G[8517]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8518: autom. group order 2, simple, residual B[8518]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,7,10,13,14],[1,3,6,7,9,13,14],[1,3,8,10,11,12,14],[1,4,5,6,8,10,13],[1,4,5,7,9,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,9,10,11,13],[2,3,7,8,9,12,13],[2,4,6,7,8,11,14],[2,4,6,11,12,13,14],[2,4,7,8,9,10,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,12],[3,4,5,6,9,10,11],[3,4,5,7,8,12,13],[3,4,6,7,10,12,14],[3,5,6,8,9,12,14],[3,5,7,10,11,13,14],[4,5,8,9,11,13,14]]; G[8518]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8519: autom. group order 2, simple, residual B[8519]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,7,10,13,14],[1,3,6,7,9,13,14],[1,3,8,10,11,12,14],[1,4,5,6,8,9,12],[1,4,5,7,10,11,13],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,9,10,11,13],[2,3,7,8,9,12,13],[2,4,6,7,8,11,14],[2,4,6,11,12,13,14],[2,4,7,8,9,10,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,12],[3,4,5,6,8,10,13],[3,4,5,7,9,11,12],[3,4,6,7,10,12,14],[3,5,6,9,10,11,14],[3,5,7,8,12,13,14],[4,5,8,9,11,13,14]]; G[8519]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8520: autom. group order 2, simple, residual B[8520]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,7,10,13,14],[1,3,6,7,9,13,14],[1,3,8,10,11,12,14],[1,4,5,6,8,12,13],[1,4,5,7,9,10,11],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,9,10,11,13],[2,3,7,8,9,12,13],[2,4,6,7,8,11,14],[2,4,6,9,11,12,14],[2,4,7,8,10,13,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,12],[3,4,5,6,8,9,10],[3,4,5,7,11,12,13],[3,4,6,7,10,12,14],[3,5,6,10,11,13,14],[3,5,7,8,9,12,14],[4,5,8,9,11,13,14]]; G[8520]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8521: autom. group order 2, simple, residual B[8521]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,7,10,13,14],[1,3,6,7,9,13,14],[1,3,8,10,11,12,14],[1,4,5,6,8,10,13],[1,4,5,7,9,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,9,10,11,13],[2,3,7,8,9,12,13],[2,4,6,7,8,11,14],[2,4,6,11,12,13,14],[2,4,7,8,9,10,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,12],[3,4,5,6,8,9,12],[3,4,5,7,10,11,13],[3,4,6,7,10,12,14],[3,5,6,9,10,11,14],[3,5,7,8,12,13,14],[4,5,8,9,11,13,14]]; G[8521]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8522: autom. group order 2, simple, residual B[8522]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,7,10,13,14],[1,3,6,7,9,13,14],[1,3,8,10,11,12,14],[1,4,5,6,8,10,13],[1,4,5,7,9,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,9,10,11,13],[2,3,7,8,9,12,13],[2,4,6,7,8,11,14],[2,4,6,8,9,12,14],[2,4,7,10,11,13,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,12],[3,4,5,6,9,10,11],[3,4,5,7,8,12,13],[3,4,6,7,10,12,14],[3,5,6,11,12,13,14],[3,5,7,8,9,10,14],[4,5,8,9,11,13,14]]; G[8522]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8523: autom. group order 2, simple, residual B[8523]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,7,10,13,14],[1,3,6,7,9,13,14],[1,3,8,10,11,12,14],[1,4,5,6,8,12,13],[1,4,5,7,9,10,11],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,9,10,11,13],[2,3,7,8,9,12,13],[2,4,6,7,8,11,14],[2,4,6,8,9,10,14],[2,4,7,11,12,13,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,12],[3,4,5,6,9,11,12],[3,4,5,7,8,10,13],[3,4,6,7,10,12,14],[3,5,6,10,11,13,14],[3,5,7,8,9,12,14],[4,5,8,9,11,13,14]]; G[8523]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8524: autom. group order 2, simple, residual B[8524]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,7,10,13,14],[1,3,6,7,9,13,14],[1,3,8,10,11,12,14],[1,4,5,6,8,10,13],[1,4,5,7,9,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,9,10,11,13],[2,3,7,8,9,12,13],[2,4,6,7,8,11,14],[2,4,6,8,9,12,14],[2,4,7,10,11,13,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,12],[3,4,5,6,11,12,13],[3,4,5,7,8,9,10],[3,4,6,7,10,12,14],[3,5,6,9,10,11,14],[3,5,7,8,12,13,14],[4,5,8,9,11,13,14]]; G[8524]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8525: autom. group order 2, simple, residual B[8525]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,7,10,13,14],[1,3,6,7,9,13,14],[1,3,8,10,11,12,14],[1,4,5,6,8,12,13],[1,4,5,7,9,10,11],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,9,10,11,13],[2,3,7,8,9,12,13],[2,4,6,7,8,11,14],[2,4,6,8,9,10,14],[2,4,7,11,12,13,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,12],[3,4,5,6,10,11,13],[3,4,5,7,8,9,12],[3,4,6,7,10,12,14],[3,5,6,9,11,12,14],[3,5,7,8,10,13,14],[4,5,8,9,11,13,14]]; G[8525]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8526: autom. group order 2, simple, residual B[8526]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,7,10,13,14],[1,3,6,7,10,12,14],[1,3,8,9,11,13,14],[1,4,5,6,8,9,10],[1,4,5,7,11,12,13],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,10,12,13],[2,3,7,9,10,11,12],[2,4,6,7,8,11,14],[2,4,6,9,11,12,14],[2,4,7,8,10,13,14],[2,5,6,9,10,11,13],[2,5,7,8,9,12,13],[3,4,5,6,10,11,13],[3,4,5,7,8,9,12],[3,4,6,7,9,13,14],[3,5,6,8,12,13,14],[3,5,7,9,10,11,14],[4,5,8,10,11,12,14]]; G[8526]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8527: autom. group order 2, simple, residual B[8527]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,7,10,13,14],[1,3,6,7,10,12,14],[1,3,8,9,11,13,14],[1,4,5,6,8,9,12],[1,4,5,7,10,11,13],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,10,12,13],[2,3,7,9,10,11,12],[2,4,6,7,8,11,14],[2,4,6,11,12,13,14],[2,4,7,8,9,10,14],[2,5,6,9,10,11,13],[2,5,7,8,9,12,13],[3,4,5,6,9,10,11],[3,4,5,7,8,12,13],[3,4,6,7,9,13,14],[3,5,6,8,10,13,14],[3,5,7,9,11,12,14],[4,5,8,10,11,12,14]]; G[8527]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8528: autom. group order 2, simple, residual B[8528]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,7,10,13,14],[1,3,6,7,10,12,14],[1,3,8,9,11,13,14],[1,4,5,6,8,12,13],[1,4,5,7,9,10,11],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,10,12,13],[2,3,7,9,10,11,12],[2,4,6,7,8,11,14],[2,4,6,9,11,12,14],[2,4,7,8,10,13,14],[2,5,6,9,10,11,13],[2,5,7,8,9,12,13],[3,4,5,6,10,11,13],[3,4,5,7,8,9,12],[3,4,6,7,9,13,14],[3,5,6,8,9,10,14],[3,5,7,11,12,13,14],[4,5,8,10,11,12,14]]; G[8528]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8529: autom. group order 2, simple, residual B[8529]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,7,10,13,14],[1,3,6,7,10,12,14],[1,3,8,9,11,13,14],[1,4,5,6,8,10,13],[1,4,5,7,9,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,10,12,13],[2,3,7,9,10,11,12],[2,4,6,7,8,11,14],[2,4,6,11,12,13,14],[2,4,7,8,9,10,14],[2,5,6,9,10,11,13],[2,5,7,8,9,12,13],[3,4,5,6,9,10,11],[3,4,5,7,8,12,13],[3,4,6,7,9,13,14],[3,5,6,8,9,12,14],[3,5,7,10,11,13,14],[4,5,8,10,11,12,14]]; G[8529]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8530: autom. group order 2, simple, residual B[8530]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,7,10,13,14],[1,3,6,7,10,12,14],[1,3,8,9,11,13,14],[1,4,5,6,8,9,12],[1,4,5,7,10,11,13],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,10,12,13],[2,3,7,9,10,11,12],[2,4,6,7,8,11,14],[2,4,6,11,12,13,14],[2,4,7,8,9,10,14],[2,5,6,9,10,11,13],[2,5,7,8,9,12,13],[3,4,5,6,8,10,13],[3,4,5,7,9,11,12],[3,4,6,7,9,13,14],[3,5,6,9,10,11,14],[3,5,7,8,12,13,14],[4,5,8,10,11,12,14]]; G[8530]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8531: autom. group order 2, simple, residual B[8531]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,7,10,13,14],[1,3,6,7,10,12,14],[1,3,8,9,11,13,14],[1,4,5,6,8,12,13],[1,4,5,7,9,10,11],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,10,12,13],[2,3,7,9,10,11,12],[2,4,6,7,8,11,14],[2,4,6,9,11,12,14],[2,4,7,8,10,13,14],[2,5,6,9,10,11,13],[2,5,7,8,9,12,13],[3,4,5,6,8,9,10],[3,4,5,7,11,12,13],[3,4,6,7,9,13,14],[3,5,6,10,11,13,14],[3,5,7,8,9,12,14],[4,5,8,10,11,12,14]]; G[8531]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8532: autom. group order 2, simple, residual B[8532]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,7,10,13,14],[1,3,6,7,10,12,14],[1,3,8,9,11,13,14],[1,4,5,6,8,10,13],[1,4,5,7,9,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,10,12,13],[2,3,7,9,10,11,12],[2,4,6,7,8,11,14],[2,4,6,11,12,13,14],[2,4,7,8,9,10,14],[2,5,6,9,10,11,13],[2,5,7,8,9,12,13],[3,4,5,6,8,9,12],[3,4,5,7,10,11,13],[3,4,6,7,9,13,14],[3,5,6,9,10,11,14],[3,5,7,8,12,13,14],[4,5,8,10,11,12,14]]; G[8532]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8533: autom. group order 2, simple, residual B[8533]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,7,10,13,14],[1,3,6,7,10,12,14],[1,3,8,9,11,13,14],[1,4,5,6,8,10,13],[1,4,5,7,9,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,10,12,13],[2,3,7,9,10,11,12],[2,4,6,7,8,11,14],[2,4,6,8,9,12,14],[2,4,7,10,11,13,14],[2,5,6,9,10,11,13],[2,5,7,8,9,12,13],[3,4,5,6,9,10,11],[3,4,5,7,8,12,13],[3,4,6,7,9,13,14],[3,5,6,11,12,13,14],[3,5,7,8,9,10,14],[4,5,8,10,11,12,14]]; G[8533]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8534: autom. group order 2, simple, residual B[8534]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,7,10,13,14],[1,3,6,7,10,12,14],[1,3,8,9,11,13,14],[1,4,5,6,8,12,13],[1,4,5,7,9,10,11],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,10,12,13],[2,3,7,9,10,11,12],[2,4,6,7,8,11,14],[2,4,6,8,9,10,14],[2,4,7,11,12,13,14],[2,5,6,9,10,11,13],[2,5,7,8,9,12,13],[3,4,5,6,9,11,12],[3,4,5,7,8,10,13],[3,4,6,7,9,13,14],[3,5,6,10,11,13,14],[3,5,7,8,9,12,14],[4,5,8,10,11,12,14]]; G[8534]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8535: autom. group order 2, simple, residual B[8535]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,7,10,13,14],[1,3,6,7,10,12,14],[1,3,8,9,11,13,14],[1,4,5,6,8,10,13],[1,4,5,7,9,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,10,12,13],[2,3,7,9,10,11,12],[2,4,6,7,8,11,14],[2,4,6,8,9,12,14],[2,4,7,10,11,13,14],[2,5,6,9,10,11,13],[2,5,7,8,9,12,13],[3,4,5,6,11,12,13],[3,4,5,7,8,9,10],[3,4,6,7,9,13,14],[3,5,6,9,10,11,14],[3,5,7,8,12,13,14],[4,5,8,10,11,12,14]]; G[8535]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8536: autom. group order 2, simple, residual B[8536]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,7,10,13,14],[1,3,6,7,10,12,14],[1,3,8,9,11,13,14],[1,4,5,6,8,12,13],[1,4,5,7,9,10,11],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,10,12,13],[2,3,7,9,10,11,12],[2,4,6,7,8,11,14],[2,4,6,8,9,10,14],[2,4,7,11,12,13,14],[2,5,6,9,10,11,13],[2,5,7,8,9,12,13],[3,4,5,6,10,11,13],[3,4,5,7,8,9,12],[3,4,6,7,9,13,14],[3,5,6,9,11,12,14],[3,5,7,8,10,13,14],[4,5,8,10,11,12,14]]; G[8536]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8537: autom. group order 2, simple, residual B[8537]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,10],[1,2,5,7,11,12,13],[1,3,6,7,9,12,14],[1,3,9,10,12,13,14],[1,4,5,6,9,13,14],[1,4,5,7,10,12,14],[1,4,8,10,11,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,11,13,14],[2,3,7,8,10,12,14],[2,4,6,7,10,13,14],[2,4,6,9,10,11,12],[2,4,7,8,9,12,13],[2,5,6,10,11,12,14],[2,5,7,8,9,13,14],[3,4,5,6,8,12,13],[3,4,5,7,9,10,11],[3,4,6,7,8,11,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,8,9,11,12,14]]; G[8537]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8538: autom. group order 2, simple, residual B[8538]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,9,13,14],[1,3,9,10,12,13,14],[1,4,5,6,9,12,14],[1,4,5,7,10,13,14],[1,4,8,10,11,12,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,9,10,11,14],[2,3,7,8,12,13,14],[2,4,6,7,10,12,14],[2,4,6,9,10,11,13],[2,4,7,8,9,12,13],[2,5,6,11,12,13,14],[2,5,7,8,9,10,14],[3,4,5,6,8,10,13],[3,4,5,7,9,11,12],[3,4,6,7,8,11,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,12],[4,5,8,9,11,13,14]]; G[8538]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8539: autom. group order 2, simple, residual B[8539]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,10],[1,2,5,7,11,12,13],[1,3,6,7,9,12,14],[1,3,9,10,12,13,14],[1,4,5,6,9,13,14],[1,4,5,7,10,12,14],[1,4,8,10,11,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,10,11,12,14],[2,3,7,8,9,13,14],[2,4,6,7,10,13,14],[2,4,6,9,10,11,12],[2,4,7,8,9,12,13],[2,5,6,9,11,13,14],[2,5,7,8,10,12,14],[3,4,5,6,8,12,13],[3,4,5,7,9,10,11],[3,4,6,7,8,11,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,8,9,11,12,14]]; G[8539]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8540: autom. group order 2, simple, residual B[8540]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,9,13,14],[1,3,9,10,12,13,14],[1,4,5,6,9,12,14],[1,4,5,7,10,13,14],[1,4,8,10,11,12,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,11,12,13,14],[2,3,7,8,9,10,14],[2,4,6,7,10,12,14],[2,4,6,9,10,11,13],[2,4,7,8,9,12,13],[2,5,6,9,10,11,14],[2,5,7,8,12,13,14],[3,4,5,6,8,10,13],[3,4,5,7,9,11,12],[3,4,6,7,8,11,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,12],[4,5,8,9,11,13,14]]; G[8540]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8541: autom. group order 2, simple, residual B[8541]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,10,12,14],[1,3,9,10,12,13,14],[1,4,5,6,10,13,14],[1,4,5,7,9,12,14],[1,4,8,9,11,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,9,10,11,14],[2,3,7,8,12,13,14],[2,4,6,7,9,13,14],[2,4,6,9,10,11,12],[2,4,7,8,10,12,13],[2,5,6,11,12,13,14],[2,5,7,8,9,10,14],[3,4,5,6,8,10,13],[3,4,5,7,9,11,12],[3,4,6,7,8,11,14],[3,5,6,8,9,12,13],[3,5,7,9,10,11,13],[4,5,8,10,11,12,14]]; G[8541]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8542: autom. group order 2, simple, residual B[8542]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,10,12,14],[1,3,9,10,12,13,14],[1,4,5,6,10,13,14],[1,4,5,7,9,12,14],[1,4,8,9,11,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,11,12,13,14],[2,3,7,8,9,10,14],[2,4,6,7,9,13,14],[2,4,6,9,10,11,12],[2,4,7,8,10,12,13],[2,5,6,9,10,11,14],[2,5,7,8,12,13,14],[3,4,5,6,8,10,13],[3,4,5,7,9,11,12],[3,4,6,7,8,11,14],[3,5,6,8,9,12,13],[3,5,7,9,10,11,13],[4,5,8,10,11,12,14]]; G[8542]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8543: autom. group order 2, simple, residual B[8543]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,5,7,9,10,11],[1,3,6,7,9,12,14],[1,3,9,10,12,13,14],[1,4,5,6,9,13,14],[1,4,5,7,10,12,14],[1,4,8,10,11,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,11,13,14],[2,3,7,8,10,12,14],[2,4,6,7,10,13,14],[2,4,6,9,10,11,12],[2,4,7,8,9,12,13],[2,5,6,10,11,12,14],[2,5,7,8,9,13,14],[3,4,5,6,8,9,10],[3,4,5,7,11,12,13],[3,4,6,7,8,11,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,8,9,11,12,14]]; G[8543]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8544: autom. group order 2, simple, residual B[8544]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,5,7,9,10,11],[1,3,6,7,9,12,14],[1,3,9,10,12,13,14],[1,4,5,6,9,13,14],[1,4,5,7,10,12,14],[1,4,8,10,11,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,10,11,14],[2,3,7,8,12,13,14],[2,4,6,7,10,13,14],[2,4,6,9,11,12,13],[2,4,7,8,9,10,12],[2,5,6,10,11,12,14],[2,5,7,8,9,13,14],[3,4,5,6,8,10,12],[3,4,5,7,9,11,13],[3,4,6,7,8,11,14],[3,5,6,8,9,10,13],[3,5,7,10,11,12,13],[4,5,8,9,11,12,14]]; G[8544]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8545: autom. group order 2, simple, residual B[8545]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,5,7,9,10,11],[1,3,6,7,9,12,14],[1,3,9,10,12,13,14],[1,4,5,6,9,13,14],[1,4,5,7,10,12,14],[1,4,8,10,11,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,10,11,12,14],[2,3,7,8,9,13,14],[2,4,6,7,10,13,14],[2,4,6,9,10,11,12],[2,4,7,8,9,12,13],[2,5,6,9,11,13,14],[2,5,7,8,10,12,14],[3,4,5,6,8,9,10],[3,4,5,7,11,12,13],[3,4,6,7,8,11,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,8,9,11,12,14]]; G[8545]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8546: autom. group order 2, simple, residual B[8546]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,5,7,9,10,11],[1,3,6,7,9,12,14],[1,3,9,10,12,13,14],[1,4,5,6,9,13,14],[1,4,5,7,10,12,14],[1,4,8,10,11,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,10,11,12,14],[2,3,7,8,9,13,14],[2,4,6,7,10,13,14],[2,4,6,9,11,12,13],[2,4,7,8,9,10,12],[2,5,6,9,10,11,14],[2,5,7,8,12,13,14],[3,4,5,6,8,10,12],[3,4,5,7,9,11,13],[3,4,6,7,8,11,14],[3,5,6,8,9,10,13],[3,5,7,10,11,12,13],[4,5,8,9,11,12,14]]; G[8546]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8547: autom. group order 2, simple, residual B[8547]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,10],[1,2,5,7,11,12,13],[1,3,6,7,9,12,14],[1,3,9,10,12,13,14],[1,4,5,6,9,13,14],[1,4,5,7,10,12,14],[1,4,8,10,11,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,11,13,14],[2,3,7,8,10,12,14],[2,4,6,7,10,13,14],[2,4,6,9,10,11,12],[2,4,7,8,9,12,13],[2,5,6,8,12,13,14],[2,5,7,9,10,11,14],[3,4,5,6,10,11,12],[3,4,5,7,8,9,13],[3,4,6,7,8,11,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,8,9,11,12,14]]; G[8547]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8548: autom. group order 2, simple, residual B[8548]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,10],[1,2,5,7,11,12,13],[1,3,6,7,9,12,14],[1,3,9,10,12,13,14],[1,4,5,6,9,13,14],[1,4,5,7,10,12,14],[1,4,8,10,11,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,10,11,12,14],[2,3,7,8,9,13,14],[2,4,6,7,10,13,14],[2,4,6,9,10,11,12],[2,4,7,8,9,12,13],[2,5,6,8,12,13,14],[2,5,7,9,10,11,14],[3,4,5,6,9,11,13],[3,4,5,7,8,10,12],[3,4,6,7,8,11,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,8,9,11,12,14]]; G[8548]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8549: autom. group order 2, simple, residual B[8549]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,10,12,14],[1,3,9,10,12,13,14],[1,4,5,6,10,13,14],[1,4,5,7,9,12,14],[1,4,8,9,11,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,9,10,11,14],[2,3,7,8,12,13,14],[2,4,6,7,9,13,14],[2,4,6,10,11,12,13],[2,4,7,8,9,10,12],[2,5,6,8,12,13,14],[2,5,7,9,10,11,14],[3,4,5,6,9,11,12],[3,4,5,7,8,10,13],[3,4,6,7,8,11,14],[3,5,6,8,9,10,13],[3,5,7,9,11,12,13],[4,5,8,10,11,12,14]]; G[8549]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8550: autom. group order 2, simple, residual B[8550]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,10,12,14],[1,3,9,10,12,13,14],[1,4,5,6,10,13,14],[1,4,5,7,9,12,14],[1,4,8,9,11,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,9,11,12,14],[2,3,7,8,10,13,14],[2,4,6,7,9,13,14],[2,4,6,10,11,12,13],[2,4,7,8,9,10,12],[2,5,6,8,12,13,14],[2,5,7,9,10,11,14],[3,4,5,6,9,10,11],[3,4,5,7,8,12,13],[3,4,6,7,8,11,14],[3,5,6,8,9,10,13],[3,5,7,9,11,12,13],[4,5,8,10,11,12,14]]; G[8550]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8551: autom. group order 2, simple, residual B[8551]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,5,7,9,10,11],[1,3,6,7,9,12,14],[1,3,9,10,12,13,14],[1,4,5,6,9,13,14],[1,4,5,7,10,12,14],[1,4,8,10,11,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,11,13,14],[2,3,7,8,10,12,14],[2,4,6,7,10,13,14],[2,4,6,9,10,11,12],[2,4,7,8,9,12,13],[2,5,6,8,9,10,14],[2,5,7,11,12,13,14],[3,4,5,6,10,11,12],[3,4,5,7,8,9,13],[3,4,6,7,8,11,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,8,9,11,12,14]]; G[8551]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8552: autom. group order 2, simple, residual B[8552]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,5,7,9,10,11],[1,3,6,7,9,12,14],[1,3,9,10,12,13,14],[1,4,5,6,9,13,14],[1,4,5,7,10,12,14],[1,4,8,10,11,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,10,11,14],[2,3,7,8,12,13,14],[2,4,6,7,10,13,14],[2,4,6,9,11,12,13],[2,4,7,8,9,10,12],[2,5,6,8,10,12,14],[2,5,7,9,11,13,14],[3,4,5,6,10,11,12],[3,4,5,7,8,9,13],[3,4,6,7,8,11,14],[3,5,6,8,9,10,13],[3,5,7,10,11,12,13],[4,5,8,9,11,12,14]]; G[8552]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8553: autom. group order 2, simple, residual B[8553]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,5,7,9,10,11],[1,3,6,7,9,12,14],[1,3,9,10,12,13,14],[1,4,5,6,9,13,14],[1,4,5,7,10,12,14],[1,4,8,10,11,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,10,11,12,14],[2,3,7,8,9,13,14],[2,4,6,7,10,13,14],[2,4,6,9,10,11,12],[2,4,7,8,9,12,13],[2,5,6,8,9,10,14],[2,5,7,11,12,13,14],[3,4,5,6,9,11,13],[3,4,5,7,8,10,12],[3,4,6,7,8,11,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,8,9,11,12,14]]; G[8553]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8554: autom. group order 2, simple, residual B[8554]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,5,7,9,10,11],[1,3,6,7,9,12,14],[1,3,9,10,12,13,14],[1,4,5,6,9,13,14],[1,4,5,7,10,12,14],[1,4,8,10,11,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,10,11,12,14],[2,3,7,8,9,13,14],[2,4,6,7,10,13,14],[2,4,6,9,11,12,13],[2,4,7,8,9,10,12],[2,5,6,8,10,12,14],[2,5,7,9,11,13,14],[3,4,5,6,9,10,11],[3,4,5,7,8,12,13],[3,4,6,7,8,11,14],[3,5,6,8,9,10,13],[3,5,7,10,11,12,13],[4,5,8,9,11,12,14]]; G[8554]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8555: autom. group order 2, simple, residual B[8555]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,9,13,14],[1,3,9,10,12,13,14],[1,4,5,6,9,10,14],[1,4,5,7,12,13,14],[1,4,8,10,11,12,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,9,11,12,14],[2,3,7,8,10,13,14],[2,4,6,7,10,12,14],[2,4,6,9,10,11,13],[2,4,7,8,9,12,13],[2,5,6,8,10,13,14],[2,5,7,9,11,12,14],[3,4,5,6,8,12,13],[3,4,5,7,9,10,11],[3,4,6,7,8,11,14],[3,5,6,10,11,12,13],[3,5,7,8,9,10,12],[4,5,8,9,11,13,14]]; G[8555]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8556: autom. group order 2, simple, residual B[8556]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,9,13,14],[1,3,9,10,12,13,14],[1,4,5,6,9,10,14],[1,4,5,7,12,13,14],[1,4,8,10,11,12,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,9,11,12,14],[2,3,7,8,10,13,14],[2,4,6,7,10,12,14],[2,4,6,9,10,11,13],[2,4,7,8,9,12,13],[2,5,6,8,12,13,14],[2,5,7,9,10,11,14],[3,4,5,6,8,10,13],[3,4,5,7,9,11,12],[3,4,6,7,8,11,14],[3,5,6,10,11,12,13],[3,5,7,8,9,10,12],[4,5,8,9,11,13,14]]; G[8556]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8557: autom. group order 2, simple, residual B[8557]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,9,13,14],[1,3,9,10,12,13,14],[1,4,5,6,9,10,14],[1,4,5,7,12,13,14],[1,4,8,10,11,12,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,10,11,13,14],[2,3,7,8,9,12,14],[2,4,6,7,10,12,14],[2,4,6,9,11,12,13],[2,4,7,8,9,10,13],[2,5,6,8,12,13,14],[2,5,7,9,10,11,14],[3,4,5,6,8,10,13],[3,4,5,7,9,11,12],[3,4,6,7,8,11,14],[3,5,6,9,10,11,12],[3,5,7,8,10,12,13],[4,5,8,9,11,13,14]]; G[8557]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8558: autom. group order 2, simple, residual B[8558]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,10,12,14],[1,3,9,10,12,13,14],[1,4,5,6,9,10,14],[1,4,5,7,12,13,14],[1,4,8,9,11,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,9,11,12,14],[2,3,7,8,10,13,14],[2,4,6,7,9,13,14],[2,4,6,10,11,12,13],[2,4,7,8,9,10,12],[2,5,6,8,10,13,14],[2,5,7,9,11,12,14],[3,4,5,6,8,12,13],[3,4,5,7,9,10,11],[3,4,6,7,8,11,14],[3,5,6,9,10,11,13],[3,5,7,8,9,12,13],[4,5,8,10,11,12,14]]; G[8558]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8559: autom. group order 2, simple, residual B[8559]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,10,12,14],[1,3,9,10,12,13,14],[1,4,5,6,9,10,14],[1,4,5,7,12,13,14],[1,4,8,9,11,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,9,11,12,14],[2,3,7,8,10,13,14],[2,4,6,7,9,13,14],[2,4,6,10,11,12,13],[2,4,7,8,9,10,12],[2,5,6,8,12,13,14],[2,5,7,9,10,11,14],[3,4,5,6,8,10,13],[3,4,5,7,9,11,12],[3,4,6,7,8,11,14],[3,5,6,9,10,11,13],[3,5,7,8,9,12,13],[4,5,8,10,11,12,14]]; G[8559]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8560: autom. group order 2, simple, residual B[8560]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,10,12,14],[1,3,9,10,12,13,14],[1,4,5,6,9,10,14],[1,4,5,7,12,13,14],[1,4,8,9,11,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,10,11,13,14],[2,3,7,8,9,12,14],[2,4,6,7,9,13,14],[2,4,6,9,10,11,12],[2,4,7,8,10,12,13],[2,5,6,8,10,13,14],[2,5,7,9,11,12,14],[3,4,5,6,8,12,13],[3,4,5,7,9,10,11],[3,4,6,7,8,11,14],[3,5,6,9,11,12,13],[3,5,7,8,9,10,13],[4,5,8,10,11,12,14]]; G[8560]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8561: autom. group order 2, simple, residual B[8561]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,10,12,14],[1,3,9,10,12,13,14],[1,4,5,6,9,10,14],[1,4,5,7,12,13,14],[1,4,8,9,11,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,10,11,13,14],[2,3,7,8,9,12,14],[2,4,6,7,9,13,14],[2,4,6,9,10,11,12],[2,4,7,8,10,12,13],[2,5,6,8,12,13,14],[2,5,7,9,10,11,14],[3,4,5,6,8,10,13],[3,4,5,7,9,11,12],[3,4,6,7,8,11,14],[3,5,6,9,11,12,13],[3,5,7,8,9,10,13],[4,5,8,10,11,12,14]]; G[8561]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8562: autom. group order 2, simple, residual B[8562]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,5,7,9,10,11],[1,3,6,7,9,12,14],[1,3,9,10,12,13,14],[1,4,5,6,9,10,14],[1,4,5,7,12,13,14],[1,4,8,10,11,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,11,13,14],[2,3,7,8,10,12,14],[2,4,6,7,10,13,14],[2,4,6,9,10,11,12],[2,4,7,8,9,12,13],[2,5,6,8,10,12,14],[2,5,7,9,11,13,14],[3,4,5,6,8,9,13],[3,4,5,7,10,11,12],[3,4,6,7,8,11,14],[3,5,6,10,11,12,13],[3,5,7,8,9,10,13],[4,5,8,9,11,12,14]]; G[8562]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8563: autom. group order 2, simple, residual B[8563]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,5,7,9,10,11],[1,3,6,7,9,12,14],[1,3,9,10,12,13,14],[1,4,5,6,9,10,14],[1,4,5,7,12,13,14],[1,4,8,10,11,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,10,11,12,14],[2,3,7,8,9,13,14],[2,4,6,7,10,13,14],[2,4,6,9,11,12,13],[2,4,7,8,9,10,12],[2,5,6,8,9,13,14],[2,5,7,10,11,12,14],[3,4,5,6,8,10,12],[3,4,5,7,9,11,13],[3,4,6,7,8,11,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,8,9,11,12,14]]; G[8563]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8564: autom. group order 2, simple, residual B[8564]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,9,13,14],[1,3,9,10,12,13,14],[1,4,5,6,12,13,14],[1,4,5,7,9,10,14],[1,4,8,10,11,12,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,9,10,11,14],[2,3,7,8,12,13,14],[2,4,6,7,10,12,14],[2,4,6,8,9,10,13],[2,4,7,9,11,12,13],[2,5,6,9,11,12,14],[2,5,7,8,10,13,14],[3,4,5,6,10,11,13],[3,4,5,7,8,9,12],[3,4,6,7,8,11,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,12],[4,5,8,9,11,13,14]]; G[8564]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8565: autom. group order 2, simple, residual B[8565]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,9,13,14],[1,3,9,10,12,13,14],[1,4,5,6,12,13,14],[1,4,5,7,9,10,14],[1,4,8,10,11,12,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,9,11,12,14],[2,3,7,8,10,13,14],[2,4,6,7,10,12,14],[2,4,6,8,9,10,13],[2,4,7,9,11,12,13],[2,5,6,9,10,11,14],[2,5,7,8,12,13,14],[3,4,5,6,10,11,13],[3,4,5,7,8,9,12],[3,4,6,7,8,11,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,12],[4,5,8,9,11,13,14]]; G[8565]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8566: autom. group order 2, simple, residual B[8566]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,9,13,14],[1,3,9,10,12,13,14],[1,4,5,6,12,13,14],[1,4,5,7,9,10,14],[1,4,8,10,11,12,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,9,11,12,14],[2,3,7,8,10,13,14],[2,4,6,7,10,12,14],[2,4,6,8,9,10,13],[2,4,7,9,11,12,13],[2,5,6,10,11,13,14],[2,5,7,8,9,12,14],[3,4,5,6,9,10,11],[3,4,5,7,8,12,13],[3,4,6,7,8,11,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,12],[4,5,8,9,11,13,14]]; G[8566]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8567: autom. group order 2, simple, residual B[8567]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,9,13,14],[1,3,9,10,12,13,14],[1,4,5,6,12,13,14],[1,4,5,7,9,10,14],[1,4,8,10,11,12,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,10,11,13,14],[2,3,7,8,9,12,14],[2,4,6,7,10,12,14],[2,4,6,8,9,10,13],[2,4,7,9,11,12,13],[2,5,6,9,11,12,14],[2,5,7,8,10,13,14],[3,4,5,6,9,10,11],[3,4,5,7,8,12,13],[3,4,6,7,8,11,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,12],[4,5,8,9,11,13,14]]; G[8567]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8568: autom. group order 2, simple, residual B[8568]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,10,12,14],[1,3,9,10,12,13,14],[1,4,5,6,12,13,14],[1,4,5,7,9,10,14],[1,4,8,9,11,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,9,10,11,14],[2,3,7,8,12,13,14],[2,4,6,7,9,13,14],[2,4,6,8,10,12,13],[2,4,7,9,10,11,12],[2,5,6,10,11,13,14],[2,5,7,8,9,12,14],[3,4,5,6,9,11,12],[3,4,5,7,8,10,13],[3,4,6,7,8,11,14],[3,5,6,8,9,10,13],[3,5,7,9,11,12,13],[4,5,8,10,11,12,14]]; G[8568]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8569: autom. group order 2, simple, residual B[8569]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,10,12,14],[1,3,9,10,12,13,14],[1,4,5,6,12,13,14],[1,4,5,7,9,10,14],[1,4,8,9,11,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,9,11,12,14],[2,3,7,8,10,13,14],[2,4,6,7,9,13,14],[2,4,6,8,10,12,13],[2,4,7,9,10,11,12],[2,5,6,10,11,13,14],[2,5,7,8,9,12,14],[3,4,5,6,9,10,11],[3,4,5,7,8,12,13],[3,4,6,7,8,11,14],[3,5,6,8,9,10,13],[3,5,7,9,11,12,13],[4,5,8,10,11,12,14]]; G[8569]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8570: autom. group order 2, simple, residual B[8570]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,10,12,14],[1,3,9,10,12,13,14],[1,4,5,6,12,13,14],[1,4,5,7,9,10,14],[1,4,8,9,11,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,10,11,13,14],[2,3,7,8,9,12,14],[2,4,6,7,9,13,14],[2,4,6,8,10,12,13],[2,4,7,9,10,11,12],[2,5,6,9,10,11,14],[2,5,7,8,12,13,14],[3,4,5,6,9,11,12],[3,4,5,7,8,10,13],[3,4,6,7,8,11,14],[3,5,6,8,9,10,13],[3,5,7,9,11,12,13],[4,5,8,10,11,12,14]]; G[8570]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8571: autom. group order 2, simple, residual B[8571]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,10,12,14],[1,3,9,10,12,13,14],[1,4,5,6,12,13,14],[1,4,5,7,9,10,14],[1,4,8,9,11,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,10,11,13,14],[2,3,7,8,9,12,14],[2,4,6,7,9,13,14],[2,4,6,8,10,12,13],[2,4,7,9,10,11,12],[2,5,6,9,11,12,14],[2,5,7,8,10,13,14],[3,4,5,6,9,10,11],[3,4,5,7,8,12,13],[3,4,6,7,8,11,14],[3,5,6,8,9,10,13],[3,5,7,9,11,12,13],[4,5,8,10,11,12,14]]; G[8571]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8572: autom. group order 2, simple, residual B[8572]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,9,13,14],[1,3,9,10,12,13,14],[1,4,5,6,10,13,14],[1,4,5,7,9,12,14],[1,4,8,10,11,12,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,9,11,12,14],[2,3,7,8,10,13,14],[2,4,6,7,10,12,14],[2,4,6,8,9,10,13],[2,4,7,9,11,12,13],[2,5,6,9,10,11,14],[2,5,7,8,12,13,14],[3,4,5,6,8,12,13],[3,4,5,7,9,10,11],[3,4,6,7,8,11,14],[3,5,6,10,11,12,13],[3,5,7,8,9,10,12],[4,5,8,9,11,13,14]]; G[8572]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8573: autom. group order 2, simple, residual B[8573]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,10],[1,2,5,7,11,12,13],[1,3,6,7,9,12,14],[1,3,9,10,12,13,14],[1,4,5,6,10,12,14],[1,4,5,7,9,13,14],[1,4,8,10,11,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,11,13,14],[2,3,7,8,10,12,14],[2,4,6,7,10,13,14],[2,4,6,8,9,12,13],[2,4,7,9,10,11,12],[2,5,6,10,11,12,14],[2,5,7,8,9,13,14],[3,4,5,6,8,12,13],[3,4,5,7,9,10,11],[3,4,6,7,8,11,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,8,9,11,12,14]]; G[8573]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8574: autom. group order 2, simple, residual B[8574]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,9,13,14],[1,3,9,10,12,13,14],[1,4,5,6,10,13,14],[1,4,5,7,9,12,14],[1,4,8,10,11,12,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,9,10,11,14],[2,3,7,8,12,13,14],[2,4,6,7,10,12,14],[2,4,6,8,9,12,13],[2,4,7,9,10,11,13],[2,5,6,11,12,13,14],[2,5,7,8,9,10,14],[3,4,5,6,8,10,13],[3,4,5,7,9,11,12],[3,4,6,7,8,11,14],[3,5,6,9,10,11,12],[3,5,7,8,10,12,13],[4,5,8,9,11,13,14]]; G[8574]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8575: autom. group order 2, simple, residual B[8575]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,10],[1,2,5,7,11,12,13],[1,3,6,7,9,12,14],[1,3,9,10,12,13,14],[1,4,5,6,10,12,14],[1,4,5,7,9,13,14],[1,4,8,10,11,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,10,11,12,14],[2,3,7,8,9,13,14],[2,4,6,7,10,13,14],[2,4,6,8,9,12,13],[2,4,7,9,10,11,12],[2,5,6,9,11,13,14],[2,5,7,8,10,12,14],[3,4,5,6,8,12,13],[3,4,5,7,9,10,11],[3,4,6,7,8,11,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,8,9,11,12,14]]; G[8575]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8576: autom. group order 2, simple, residual B[8576]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,9,13,14],[1,3,9,10,12,13,14],[1,4,5,6,10,13,14],[1,4,5,7,9,12,14],[1,4,8,10,11,12,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,11,12,13,14],[2,3,7,8,9,10,14],[2,4,6,7,10,12,14],[2,4,6,8,9,12,13],[2,4,7,9,10,11,13],[2,5,6,9,10,11,14],[2,5,7,8,12,13,14],[3,4,5,6,8,10,13],[3,4,5,7,9,11,12],[3,4,6,7,8,11,14],[3,5,6,9,10,11,12],[3,5,7,8,10,12,13],[4,5,8,9,11,13,14]]; G[8576]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8577: autom. group order 2, simple, residual B[8577]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,10,12,14],[1,3,9,10,12,13,14],[1,4,5,6,9,12,14],[1,4,5,7,10,13,14],[1,4,8,9,11,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,9,10,11,14],[2,3,7,8,12,13,14],[2,4,6,7,9,13,14],[2,4,6,8,10,12,13],[2,4,7,9,10,11,12],[2,5,6,11,12,13,14],[2,5,7,8,9,10,14],[3,4,5,6,8,10,13],[3,4,5,7,9,11,12],[3,4,6,7,8,11,14],[3,5,6,9,10,11,13],[3,5,7,8,9,12,13],[4,5,8,10,11,12,14]]; G[8577]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8578: autom. group order 2, simple, residual B[8578]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,10,12,14],[1,3,9,10,12,13,14],[1,4,5,6,9,12,14],[1,4,5,7,10,13,14],[1,4,8,9,11,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,11,12,13,14],[2,3,7,8,9,10,14],[2,4,6,7,9,13,14],[2,4,6,8,10,12,13],[2,4,7,9,10,11,12],[2,5,6,9,10,11,14],[2,5,7,8,12,13,14],[3,4,5,6,8,10,13],[3,4,5,7,9,11,12],[3,4,6,7,8,11,14],[3,5,6,9,10,11,13],[3,5,7,8,9,12,13],[4,5,8,10,11,12,14]]; G[8578]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8579: autom. group order 2, simple, residual B[8579]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,5,7,9,10,11],[1,3,6,7,9,12,14],[1,3,9,10,12,13,14],[1,4,5,6,10,12,14],[1,4,5,7,9,13,14],[1,4,8,10,11,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,10,11,14],[2,3,7,8,12,13,14],[2,4,6,7,10,13,14],[2,4,6,8,9,10,12],[2,4,7,9,11,12,13],[2,5,6,9,11,13,14],[2,5,7,8,10,12,14],[3,4,5,6,8,9,13],[3,4,5,7,10,11,12],[3,4,6,7,8,11,14],[3,5,6,10,11,12,13],[3,5,7,8,9,10,13],[4,5,8,9,11,12,14]]; G[8579]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8580: autom. group order 2, simple, residual B[8580]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,5,7,9,10,11],[1,3,6,7,9,12,14],[1,3,9,10,12,13,14],[1,4,5,6,10,12,14],[1,4,5,7,9,13,14],[1,4,8,10,11,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,11,13,14],[2,3,7,8,10,12,14],[2,4,6,7,10,13,14],[2,4,6,8,9,10,12],[2,4,7,9,11,12,13],[2,5,6,9,10,11,14],[2,5,7,8,12,13,14],[3,4,5,6,8,9,13],[3,4,5,7,10,11,12],[3,4,6,7,8,11,14],[3,5,6,10,11,12,13],[3,5,7,8,9,10,13],[4,5,8,9,11,12,14]]; G[8580]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8581: autom. group order 2, simple, residual B[8581]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,5,7,9,10,11],[1,3,6,7,9,12,14],[1,3,9,10,12,13,14],[1,4,5,6,10,12,14],[1,4,5,7,9,13,14],[1,4,8,10,11,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,11,13,14],[2,3,7,8,10,12,14],[2,4,6,7,10,13,14],[2,4,6,8,9,12,13],[2,4,7,9,10,11,12],[2,5,6,10,11,12,14],[2,5,7,8,9,13,14],[3,4,5,6,8,9,10],[3,4,5,7,11,12,13],[3,4,6,7,8,11,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,8,9,11,12,14]]; G[8581]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8582: autom. group order 2, simple, residual B[8582]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,5,7,9,10,11],[1,3,6,7,9,12,14],[1,3,9,10,12,13,14],[1,4,5,6,10,12,14],[1,4,5,7,9,13,14],[1,4,8,10,11,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,10,11,12,14],[2,3,7,8,9,13,14],[2,4,6,7,10,13,14],[2,4,6,8,9,12,13],[2,4,7,9,10,11,12],[2,5,6,9,11,13,14],[2,5,7,8,10,12,14],[3,4,5,6,8,9,10],[3,4,5,7,11,12,13],[3,4,6,7,8,11,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,8,9,11,12,14]]; G[8582]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8583: autom. group order 2, simple, residual B[8583]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,9,13,14],[1,3,9,10,12,13,14],[1,4,5,6,10,13,14],[1,4,5,7,9,12,14],[1,4,8,10,11,12,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,9,10,11,14],[2,3,7,8,12,13,14],[2,4,6,7,10,12,14],[2,4,6,8,9,10,13],[2,4,7,9,11,12,13],[2,5,6,8,12,13,14],[2,5,7,9,10,11,14],[3,4,5,6,9,11,12],[3,4,5,7,8,10,13],[3,4,6,7,8,11,14],[3,5,6,10,11,12,13],[3,5,7,8,9,10,12],[4,5,8,9,11,13,14]]; G[8583]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8584: autom. group order 2, simple, residual B[8584]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,9,13,14],[1,3,9,10,12,13,14],[1,4,5,6,10,13,14],[1,4,5,7,9,12,14],[1,4,8,10,11,12,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,9,11,12,14],[2,3,7,8,10,13,14],[2,4,6,7,10,12,14],[2,4,6,8,9,10,13],[2,4,7,9,11,12,13],[2,5,6,8,12,13,14],[2,5,7,9,10,11,14],[3,4,5,6,9,10,11],[3,4,5,7,8,12,13],[3,4,6,7,8,11,14],[3,5,6,10,11,12,13],[3,5,7,8,9,10,12],[4,5,8,9,11,13,14]]; G[8584]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8585: autom. group order 2, simple, residual B[8585]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,10],[1,2,5,7,11,12,13],[1,3,6,7,9,12,14],[1,3,9,10,12,13,14],[1,4,5,6,10,12,14],[1,4,5,7,9,13,14],[1,4,8,10,11,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,11,13,14],[2,3,7,8,10,12,14],[2,4,6,7,10,13,14],[2,4,6,8,9,12,13],[2,4,7,9,10,11,12],[2,5,6,8,12,13,14],[2,5,7,9,10,11,14],[3,4,5,6,10,11,12],[3,4,5,7,8,9,13],[3,4,6,7,8,11,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,8,9,11,12,14]]; G[8585]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8586: autom. group order 2, simple, residual B[8586]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,10],[1,2,5,7,11,12,13],[1,3,6,7,9,12,14],[1,3,9,10,12,13,14],[1,4,5,6,10,12,14],[1,4,5,7,9,13,14],[1,4,8,10,11,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,10,11,12,14],[2,3,7,8,9,13,14],[2,4,6,7,10,13,14],[2,4,6,8,9,12,13],[2,4,7,9,10,11,12],[2,5,6,8,12,13,14],[2,5,7,9,10,11,14],[3,4,5,6,9,11,13],[3,4,5,7,8,10,12],[3,4,6,7,8,11,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,8,9,11,12,14]]; G[8586]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8587: autom. group order 2, simple, residual B[8587]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,5,7,9,10,11],[1,3,6,7,9,12,14],[1,3,9,10,12,13,14],[1,4,5,6,10,12,14],[1,4,5,7,9,13,14],[1,4,8,10,11,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,10,11,14],[2,3,7,8,12,13,14],[2,4,6,7,10,13,14],[2,4,6,8,9,10,12],[2,4,7,9,11,12,13],[2,5,6,8,9,13,14],[2,5,7,10,11,12,14],[3,4,5,6,9,11,13],[3,4,5,7,8,10,12],[3,4,6,7,8,11,14],[3,5,6,10,11,12,13],[3,5,7,8,9,10,13],[4,5,8,9,11,12,14]]; G[8587]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8588: autom. group order 2, simple, residual B[8588]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,5,7,9,10,11],[1,3,6,7,9,12,14],[1,3,9,10,12,13,14],[1,4,5,6,10,12,14],[1,4,5,7,9,13,14],[1,4,8,10,11,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,9,11,13,14],[2,3,7,8,10,12,14],[2,4,6,7,10,13,14],[2,4,6,8,9,12,13],[2,4,7,9,10,11,12],[2,5,6,8,9,10,14],[2,5,7,11,12,13,14],[3,4,5,6,10,11,12],[3,4,5,7,8,9,13],[3,4,6,7,8,11,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,8,9,11,12,14]]; G[8588]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8589: autom. group order 2, simple, residual B[8589]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,5,7,9,10,11],[1,3,6,7,9,12,14],[1,3,9,10,12,13,14],[1,4,5,6,10,12,14],[1,4,5,7,9,13,14],[1,4,8,10,11,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,10,11,12,14],[2,3,7,8,9,13,14],[2,4,6,7,10,13,14],[2,4,6,8,9,12,13],[2,4,7,9,10,11,12],[2,5,6,8,9,10,14],[2,5,7,11,12,13,14],[3,4,5,6,9,11,13],[3,4,5,7,8,10,12],[3,4,6,7,8,11,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,8,9,11,12,14]]; G[8589]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8590: autom. group order 2, simple, residual B[8590]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,10],[1,2,5,7,11,12,13],[1,3,6,7,9,12,14],[1,3,9,10,12,13,14],[1,4,5,6,9,13,14],[1,4,5,7,10,12,14],[1,4,8,10,11,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,8,12,13,14],[2,3,7,9,10,11,14],[2,4,6,7,10,13,14],[2,4,6,9,10,11,12],[2,4,7,8,9,12,13],[2,5,6,9,11,13,14],[2,5,7,8,10,12,14],[3,4,5,6,10,11,12],[3,4,5,7,8,9,13],[3,4,6,7,8,11,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,8,9,11,12,14]]; G[8590]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8591: autom. group order 2, simple, residual B[8591]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,9,13,14],[1,3,9,10,12,13,14],[1,4,5,6,9,12,14],[1,4,5,7,10,13,14],[1,4,8,10,11,12,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,10,13,14],[2,3,7,9,11,12,14],[2,4,6,7,10,12,14],[2,4,6,9,10,11,13],[2,4,7,8,9,12,13],[2,5,6,9,10,11,14],[2,5,7,8,12,13,14],[3,4,5,6,11,12,13],[3,4,5,7,8,9,10],[3,4,6,7,8,11,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,12],[4,5,8,9,11,13,14]]; G[8591]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8592: autom. group order 2, simple, residual B[8592]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,10],[1,2,5,7,11,12,13],[1,3,6,7,9,12,14],[1,3,9,10,12,13,14],[1,4,5,6,9,13,14],[1,4,5,7,10,12,14],[1,4,8,10,11,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,8,12,13,14],[2,3,7,9,10,11,14],[2,4,6,7,10,13,14],[2,4,6,9,10,11,12],[2,4,7,8,9,12,13],[2,5,6,10,11,12,14],[2,5,7,8,9,13,14],[3,4,5,6,9,11,13],[3,4,5,7,8,10,12],[3,4,6,7,8,11,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,8,9,11,12,14]]; G[8592]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8593: autom. group order 2, simple, residual B[8593]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,9,13,14],[1,3,9,10,12,13,14],[1,4,5,6,9,12,14],[1,4,5,7,10,13,14],[1,4,8,10,11,12,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,10,13,14],[2,3,7,9,11,12,14],[2,4,6,7,10,12,14],[2,4,6,9,10,11,13],[2,4,7,8,9,12,13],[2,5,6,11,12,13,14],[2,5,7,8,9,10,14],[3,4,5,6,9,10,11],[3,4,5,7,8,12,13],[3,4,6,7,8,11,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,12],[4,5,8,9,11,13,14]]; G[8593]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8594: autom. group order 2, simple, residual B[8594]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,10,12,14],[1,3,9,10,12,13,14],[1,4,5,6,10,13,14],[1,4,5,7,9,12,14],[1,4,8,9,11,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,10,13,14],[2,3,7,9,11,12,14],[2,4,6,7,9,13,14],[2,4,6,9,10,11,12],[2,4,7,8,10,12,13],[2,5,6,9,10,11,14],[2,5,7,8,12,13,14],[3,4,5,6,11,12,13],[3,4,5,7,8,9,10],[3,4,6,7,8,11,14],[3,5,6,8,9,12,13],[3,5,7,9,10,11,13],[4,5,8,10,11,12,14]]; G[8594]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8595: autom. group order 2, simple, residual B[8595]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,10,12,14],[1,3,9,10,12,13,14],[1,4,5,6,10,13,14],[1,4,5,7,9,12,14],[1,4,8,9,11,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,10,13,14],[2,3,7,9,11,12,14],[2,4,6,7,9,13,14],[2,4,6,9,10,11,12],[2,4,7,8,10,12,13],[2,5,6,11,12,13,14],[2,5,7,8,9,10,14],[3,4,5,6,9,10,11],[3,4,5,7,8,12,13],[3,4,6,7,8,11,14],[3,5,6,8,9,12,13],[3,5,7,9,10,11,13],[4,5,8,10,11,12,14]]; G[8595]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8596: autom. group order 2, simple, residual B[8596]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,10,12,14],[1,3,9,10,12,13,14],[1,4,5,6,10,13,14],[1,4,5,7,9,12,14],[1,4,8,9,11,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,12,13,14],[2,3,7,9,10,11,14],[2,4,6,7,9,13,14],[2,4,6,10,11,12,13],[2,4,7,8,9,10,12],[2,5,6,9,10,11,14],[2,5,7,8,12,13,14],[3,4,5,6,9,11,12],[3,4,5,7,8,10,13],[3,4,6,7,8,11,14],[3,5,6,8,9,10,13],[3,5,7,9,11,12,13],[4,5,8,10,11,12,14]]; G[8596]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8597: autom. group order 2, simple, residual B[8597]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,5,7,9,10,11],[1,3,6,7,9,12,14],[1,3,9,10,12,13,14],[1,4,5,6,9,13,14],[1,4,5,7,10,12,14],[1,4,8,10,11,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,8,9,10,14],[2,3,7,11,12,13,14],[2,4,6,7,10,13,14],[2,4,6,9,10,11,12],[2,4,7,8,9,12,13],[2,5,6,9,11,13,14],[2,5,7,8,10,12,14],[3,4,5,6,10,11,12],[3,4,5,7,8,9,13],[3,4,6,7,8,11,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,8,9,11,12,14]]; G[8597]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8598: autom. group order 2, simple, residual B[8598]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,5,7,9,10,11],[1,3,6,7,9,12,14],[1,3,9,10,12,13,14],[1,4,5,6,9,13,14],[1,4,5,7,10,12,14],[1,4,8,10,11,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,8,9,10,14],[2,3,7,11,12,13,14],[2,4,6,7,10,13,14],[2,4,6,9,10,11,12],[2,4,7,8,9,12,13],[2,5,6,10,11,12,14],[2,5,7,8,9,13,14],[3,4,5,6,9,11,13],[3,4,5,7,8,10,12],[3,4,6,7,8,11,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,8,9,11,12,14]]; G[8598]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8599: autom. group order 2, simple, residual B[8599]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,5,7,9,10,11],[1,3,6,7,9,12,14],[1,3,9,10,12,13,14],[1,4,5,6,9,13,14],[1,4,5,7,10,12,14],[1,4,8,10,11,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,8,10,12,14],[2,3,7,9,11,13,14],[2,4,6,7,10,13,14],[2,4,6,9,11,12,13],[2,4,7,8,9,10,12],[2,5,6,9,10,11,14],[2,5,7,8,12,13,14],[3,4,5,6,10,11,12],[3,4,5,7,8,9,13],[3,4,6,7,8,11,14],[3,5,6,8,9,10,13],[3,5,7,10,11,12,13],[4,5,8,9,11,12,14]]; G[8599]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8600: autom. group order 2, simple, residual B[8600]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,5,7,9,10,11],[1,3,6,7,9,12,14],[1,3,9,10,12,13,14],[1,4,5,6,9,13,14],[1,4,5,7,10,12,14],[1,4,8,10,11,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,8,10,12,14],[2,3,7,9,11,13,14],[2,4,6,7,10,13,14],[2,4,6,9,11,12,13],[2,4,7,8,9,10,12],[2,5,6,10,11,12,14],[2,5,7,8,9,13,14],[3,4,5,6,9,10,11],[3,4,5,7,8,12,13],[3,4,6,7,8,11,14],[3,5,6,8,9,10,13],[3,5,7,10,11,12,13],[4,5,8,9,11,12,14]]; G[8600]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8601: autom. group order 2, simple, residual B[8601]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,9,13,14],[1,3,9,10,12,13,14],[1,4,5,6,9,10,14],[1,4,5,7,12,13,14],[1,4,8,10,11,12,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,10,13,14],[2,3,7,9,11,12,14],[2,4,6,7,10,12,14],[2,4,6,9,10,11,13],[2,4,7,8,9,12,13],[2,5,6,9,11,12,14],[2,5,7,8,10,13,14],[3,4,5,6,8,12,13],[3,4,5,7,9,10,11],[3,4,6,7,8,11,14],[3,5,6,10,11,12,13],[3,5,7,8,9,10,12],[4,5,8,9,11,13,14]]; G[8601]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8602: autom. group order 2, simple, residual B[8602]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,9,13,14],[1,3,9,10,12,13,14],[1,4,5,6,9,10,14],[1,4,5,7,12,13,14],[1,4,8,10,11,12,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,12,13,14],[2,3,7,9,10,11,14],[2,4,6,7,10,12,14],[2,4,6,9,10,11,13],[2,4,7,8,9,12,13],[2,5,6,9,11,12,14],[2,5,7,8,10,13,14],[3,4,5,6,8,10,13],[3,4,5,7,9,11,12],[3,4,6,7,8,11,14],[3,5,6,10,11,12,13],[3,5,7,8,9,10,12],[4,5,8,9,11,13,14]]; G[8602]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8603: autom. group order 2, simple, residual B[8603]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,9,13,14],[1,3,9,10,12,13,14],[1,4,5,6,9,10,14],[1,4,5,7,12,13,14],[1,4,8,10,11,12,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,12,13,14],[2,3,7,9,10,11,14],[2,4,6,7,10,12,14],[2,4,6,9,11,12,13],[2,4,7,8,9,10,13],[2,5,6,10,11,13,14],[2,5,7,8,9,12,14],[3,4,5,6,8,10,13],[3,4,5,7,9,11,12],[3,4,6,7,8,11,14],[3,5,6,9,10,11,12],[3,5,7,8,10,12,13],[4,5,8,9,11,13,14]]; G[8603]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8604: autom. group order 2, simple, residual B[8604]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,10,12,14],[1,3,9,10,12,13,14],[1,4,5,6,9,10,14],[1,4,5,7,12,13,14],[1,4,8,9,11,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,10,13,14],[2,3,7,9,11,12,14],[2,4,6,7,9,13,14],[2,4,6,9,10,11,12],[2,4,7,8,10,12,13],[2,5,6,10,11,13,14],[2,5,7,8,9,12,14],[3,4,5,6,8,12,13],[3,4,5,7,9,10,11],[3,4,6,7,8,11,14],[3,5,6,9,11,12,13],[3,5,7,8,9,10,13],[4,5,8,10,11,12,14]]; G[8604]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8605: autom. group order 2, simple, residual B[8605]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,10,12,14],[1,3,9,10,12,13,14],[1,4,5,6,9,10,14],[1,4,5,7,12,13,14],[1,4,8,9,11,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,12,13,14],[2,3,7,9,10,11,14],[2,4,6,7,9,13,14],[2,4,6,9,10,11,12],[2,4,7,8,10,12,13],[2,5,6,10,11,13,14],[2,5,7,8,9,12,14],[3,4,5,6,8,10,13],[3,4,5,7,9,11,12],[3,4,6,7,8,11,14],[3,5,6,9,11,12,13],[3,5,7,8,9,10,13],[4,5,8,10,11,12,14]]; G[8605]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8606: autom. group order 2, simple, residual B[8606]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,10,12,14],[1,3,9,10,12,13,14],[1,4,5,6,9,10,14],[1,4,5,7,12,13,14],[1,4,8,9,11,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,10,13,14],[2,3,7,9,11,12,14],[2,4,6,7,9,13,14],[2,4,6,10,11,12,13],[2,4,7,8,9,10,12],[2,5,6,9,11,12,14],[2,5,7,8,10,13,14],[3,4,5,6,8,12,13],[3,4,5,7,9,10,11],[3,4,6,7,8,11,14],[3,5,6,9,10,11,13],[3,5,7,8,9,12,13],[4,5,8,10,11,12,14]]; G[8606]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8607: autom. group order 2, simple, residual B[8607]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,10,12,14],[1,3,9,10,12,13,14],[1,4,5,6,9,10,14],[1,4,5,7,12,13,14],[1,4,8,9,11,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,12,13,14],[2,3,7,9,10,11,14],[2,4,6,7,9,13,14],[2,4,6,10,11,12,13],[2,4,7,8,9,10,12],[2,5,6,9,11,12,14],[2,5,7,8,10,13,14],[3,4,5,6,8,10,13],[3,4,5,7,9,11,12],[3,4,6,7,8,11,14],[3,5,6,9,10,11,13],[3,5,7,8,9,12,13],[4,5,8,10,11,12,14]]; G[8607]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8608: autom. group order 2, simple, residual B[8608]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,5,7,9,10,11],[1,3,6,7,9,12,14],[1,3,9,10,12,13,14],[1,4,5,6,9,10,14],[1,4,5,7,12,13,14],[1,4,8,10,11,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,8,9,13,14],[2,3,7,10,11,12,14],[2,4,6,7,10,13,14],[2,4,6,9,11,12,13],[2,4,7,8,9,10,12],[2,5,6,10,11,12,14],[2,5,7,8,9,13,14],[3,4,5,6,8,10,12],[3,4,5,7,9,11,13],[3,4,6,7,8,11,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,8,9,11,12,14]]; G[8608]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8609: autom. group order 2, simple, residual B[8609]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,5,7,9,10,11],[1,3,6,7,9,12,14],[1,3,9,10,12,13,14],[1,4,5,6,9,10,14],[1,4,5,7,12,13,14],[1,4,8,10,11,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,8,10,12,14],[2,3,7,9,11,13,14],[2,4,6,7,10,13,14],[2,4,6,9,10,11,12],[2,4,7,8,9,12,13],[2,5,6,9,11,13,14],[2,5,7,8,10,12,14],[3,4,5,6,8,9,13],[3,4,5,7,10,11,12],[3,4,6,7,8,11,14],[3,5,6,10,11,12,13],[3,5,7,8,9,10,13],[4,5,8,9,11,12,14]]; G[8609]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8610: autom. group order 2, simple, residual B[8610]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,9,13,14],[1,3,9,10,12,13,14],[1,4,5,6,9,10,14],[1,4,5,7,12,13,14],[1,4,8,10,11,12,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,10,13,14],[2,3,7,9,11,12,14],[2,4,6,7,10,12,14],[2,4,6,9,10,11,13],[2,4,7,8,9,12,13],[2,5,6,8,12,13,14],[2,5,7,9,10,11,14],[3,4,5,6,9,11,12],[3,4,5,7,8,10,13],[3,4,6,7,8,11,14],[3,5,6,10,11,12,13],[3,5,7,8,9,10,12],[4,5,8,9,11,13,14]]; G[8610]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8611: autom. group order 2, simple, residual B[8611]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,9,13,14],[1,3,9,10,12,13,14],[1,4,5,6,9,10,14],[1,4,5,7,12,13,14],[1,4,8,10,11,12,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,12,13,14],[2,3,7,9,10,11,14],[2,4,6,7,10,12,14],[2,4,6,9,10,11,13],[2,4,7,8,9,12,13],[2,5,6,8,10,13,14],[2,5,7,9,11,12,14],[3,4,5,6,9,11,12],[3,4,5,7,8,10,13],[3,4,6,7,8,11,14],[3,5,6,10,11,12,13],[3,5,7,8,9,10,12],[4,5,8,9,11,13,14]]; G[8611]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8612: autom. group order 2, simple, residual B[8612]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,9,13,14],[1,3,9,10,12,13,14],[1,4,5,6,9,10,14],[1,4,5,7,12,13,14],[1,4,8,10,11,12,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,10,13,14],[2,3,7,9,11,12,14],[2,4,6,7,10,12,14],[2,4,6,9,11,12,13],[2,4,7,8,9,10,13],[2,5,6,8,12,13,14],[2,5,7,9,10,11,14],[3,4,5,6,10,11,13],[3,4,5,7,8,9,12],[3,4,6,7,8,11,14],[3,5,6,9,10,11,12],[3,5,7,8,10,12,13],[4,5,8,9,11,13,14]]; G[8612]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8613: autom. group order 2, simple, residual B[8613]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,9,13,14],[1,3,9,10,12,13,14],[1,4,5,6,9,10,14],[1,4,5,7,12,13,14],[1,4,8,10,11,12,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,12,13,14],[2,3,7,9,10,11,14],[2,4,6,7,10,12,14],[2,4,6,9,11,12,13],[2,4,7,8,9,10,13],[2,5,6,8,10,13,14],[2,5,7,9,11,12,14],[3,4,5,6,10,11,13],[3,4,5,7,8,9,12],[3,4,6,7,8,11,14],[3,5,6,9,10,11,12],[3,5,7,8,10,12,13],[4,5,8,9,11,13,14]]; G[8613]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8614: autom. group order 2, simple, residual B[8614]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,10,12,14],[1,3,9,10,12,13,14],[1,4,5,6,9,10,14],[1,4,5,7,12,13,14],[1,4,8,9,11,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,10,13,14],[2,3,7,9,11,12,14],[2,4,6,7,9,13,14],[2,4,6,9,10,11,12],[2,4,7,8,10,12,13],[2,5,6,8,12,13,14],[2,5,7,9,10,11,14],[3,4,5,6,10,11,13],[3,4,5,7,8,9,12],[3,4,6,7,8,11,14],[3,5,6,9,11,12,13],[3,5,7,8,9,10,13],[4,5,8,10,11,12,14]]; G[8614]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8615: autom. group order 2, simple, residual B[8615]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,10,12,14],[1,3,9,10,12,13,14],[1,4,5,6,9,10,14],[1,4,5,7,12,13,14],[1,4,8,9,11,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,12,13,14],[2,3,7,9,10,11,14],[2,4,6,7,9,13,14],[2,4,6,9,10,11,12],[2,4,7,8,10,12,13],[2,5,6,8,10,13,14],[2,5,7,9,11,12,14],[3,4,5,6,10,11,13],[3,4,5,7,8,9,12],[3,4,6,7,8,11,14],[3,5,6,9,11,12,13],[3,5,7,8,9,10,13],[4,5,8,10,11,12,14]]; G[8615]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8616: autom. group order 2, simple, residual B[8616]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,5,7,9,10,11],[1,3,6,7,9,12,14],[1,3,9,10,12,13,14],[1,4,5,6,9,10,14],[1,4,5,7,12,13,14],[1,4,8,10,11,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,8,9,13,14],[2,3,7,10,11,12,14],[2,4,6,7,10,13,14],[2,4,6,9,10,11,12],[2,4,7,8,9,12,13],[2,5,6,8,10,12,14],[2,5,7,9,11,13,14],[3,4,5,6,9,11,13],[3,4,5,7,8,10,12],[3,4,6,7,8,11,14],[3,5,6,10,11,12,13],[3,5,7,8,9,10,13],[4,5,8,9,11,12,14]]; G[8616]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8617: autom. group order 2, simple, residual B[8617]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,5,7,9,10,11],[1,3,6,7,9,12,14],[1,3,9,10,12,13,14],[1,4,5,6,9,10,14],[1,4,5,7,12,13,14],[1,4,8,10,11,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,8,9,13,14],[2,3,7,10,11,12,14],[2,4,6,7,10,13,14],[2,4,6,9,11,12,13],[2,4,7,8,9,10,12],[2,5,6,8,10,12,14],[2,5,7,9,11,13,14],[3,4,5,6,10,11,12],[3,4,5,7,8,9,13],[3,4,6,7,8,11,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,8,9,11,12,14]]; G[8617]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8618: autom. group order 2, simple, residual B[8618]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,5,7,9,10,11],[1,3,6,7,9,12,14],[1,3,9,10,12,13,14],[1,4,5,6,9,10,14],[1,4,5,7,12,13,14],[1,4,8,10,11,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,8,10,12,14],[2,3,7,9,11,13,14],[2,4,6,7,10,13,14],[2,4,6,9,10,11,12],[2,4,7,8,9,12,13],[2,5,6,8,9,13,14],[2,5,7,10,11,12,14],[3,4,5,6,9,11,13],[3,4,5,7,8,10,12],[3,4,6,7,8,11,14],[3,5,6,10,11,12,13],[3,5,7,8,9,10,13],[4,5,8,9,11,12,14]]; G[8618]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8619: autom. group order 2, simple, residual B[8619]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,5,7,9,10,11],[1,3,6,7,9,12,14],[1,3,9,10,12,13,14],[1,4,5,6,9,10,14],[1,4,5,7,12,13,14],[1,4,8,10,11,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,8,10,12,14],[2,3,7,9,11,13,14],[2,4,6,7,10,13,14],[2,4,6,9,11,12,13],[2,4,7,8,9,10,12],[2,5,6,8,9,13,14],[2,5,7,10,11,12,14],[3,4,5,6,10,11,12],[3,4,5,7,8,9,13],[3,4,6,7,8,11,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,8,9,11,12,14]]; G[8619]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8620: autom. group order 2, simple, residual B[8620]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,9,13,14],[1,3,9,10,12,13,14],[1,4,5,6,10,13,14],[1,4,5,7,9,12,14],[1,4,8,10,11,12,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,12,13,14],[2,3,7,9,10,11,14],[2,4,6,7,10,12,14],[2,4,6,8,9,10,13],[2,4,7,9,11,12,13],[2,5,6,9,10,11,14],[2,5,7,8,12,13,14],[3,4,5,6,9,11,12],[3,4,5,7,8,10,13],[3,4,6,7,8,11,14],[3,5,6,10,11,12,13],[3,5,7,8,9,10,12],[4,5,8,9,11,13,14]]; G[8620]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8621: autom. group order 2, simple, residual B[8621]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,10],[1,2,5,7,11,12,13],[1,3,6,7,9,12,14],[1,3,9,10,12,13,14],[1,4,5,6,10,12,14],[1,4,5,7,9,13,14],[1,4,8,10,11,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,8,12,13,14],[2,3,7,9,10,11,14],[2,4,6,7,10,13,14],[2,4,6,8,9,12,13],[2,4,7,9,10,11,12],[2,5,6,9,11,13,14],[2,5,7,8,10,12,14],[3,4,5,6,10,11,12],[3,4,5,7,8,9,13],[3,4,6,7,8,11,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,8,9,11,12,14]]; G[8621]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8622: autom. group order 2, simple, residual B[8622]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,9,13,14],[1,3,9,10,12,13,14],[1,4,5,6,10,13,14],[1,4,5,7,9,12,14],[1,4,8,10,11,12,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,10,13,14],[2,3,7,9,11,12,14],[2,4,6,7,10,12,14],[2,4,6,8,9,12,13],[2,4,7,9,10,11,13],[2,5,6,9,10,11,14],[2,5,7,8,12,13,14],[3,4,5,6,11,12,13],[3,4,5,7,8,9,10],[3,4,6,7,8,11,14],[3,5,6,9,10,11,12],[3,5,7,8,10,12,13],[4,5,8,9,11,13,14]]; G[8622]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8623: autom. group order 2, simple, residual B[8623]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,10],[1,2,5,7,11,12,13],[1,3,6,7,9,12,14],[1,3,9,10,12,13,14],[1,4,5,6,10,12,14],[1,4,5,7,9,13,14],[1,4,8,10,11,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,8,12,13,14],[2,3,7,9,10,11,14],[2,4,6,7,10,13,14],[2,4,6,8,9,12,13],[2,4,7,9,10,11,12],[2,5,6,10,11,12,14],[2,5,7,8,9,13,14],[3,4,5,6,9,11,13],[3,4,5,7,8,10,12],[3,4,6,7,8,11,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,8,9,11,12,14]]; G[8623]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8624: autom. group order 2, simple, residual B[8624]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,9,13,14],[1,3,9,10,12,13,14],[1,4,5,6,10,13,14],[1,4,5,7,9,12,14],[1,4,8,10,11,12,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,10,13,14],[2,3,7,9,11,12,14],[2,4,6,7,10,12,14],[2,4,6,8,9,12,13],[2,4,7,9,10,11,13],[2,5,6,11,12,13,14],[2,5,7,8,9,10,14],[3,4,5,6,9,10,11],[3,4,5,7,8,12,13],[3,4,6,7,8,11,14],[3,5,6,9,10,11,12],[3,5,7,8,10,12,13],[4,5,8,9,11,13,14]]; G[8624]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8625: autom. group order 2, simple, residual B[8625]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,10,12,14],[1,3,9,10,12,13,14],[1,4,5,6,9,12,14],[1,4,5,7,10,13,14],[1,4,8,9,11,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,10,13,14],[2,3,7,9,11,12,14],[2,4,6,7,9,13,14],[2,4,6,8,10,12,13],[2,4,7,9,10,11,12],[2,5,6,9,10,11,14],[2,5,7,8,12,13,14],[3,4,5,6,11,12,13],[3,4,5,7,8,9,10],[3,4,6,7,8,11,14],[3,5,6,9,10,11,13],[3,5,7,8,9,12,13],[4,5,8,10,11,12,14]]; G[8625]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8626: autom. group order 2, simple, residual B[8626]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,11,13],[1,3,6,7,10,12,14],[1,3,9,10,12,13,14],[1,4,5,6,9,12,14],[1,4,5,7,10,13,14],[1,4,8,9,11,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,10,13,14],[2,3,7,9,11,12,14],[2,4,6,7,9,13,14],[2,4,6,8,10,12,13],[2,4,7,9,10,11,12],[2,5,6,11,12,13,14],[2,5,7,8,9,10,14],[3,4,5,6,9,10,11],[3,4,5,7,8,12,13],[3,4,6,7,8,11,14],[3,5,6,9,10,11,13],[3,5,7,8,9,12,13],[4,5,8,10,11,12,14]]; G[8626]:=Group([(6,7)(8,11)(9,13)(10,12)]); # Design 8627: autom. group order 2, simple, residual B[8627]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,5,7,9,10,11],[1,3,6,7,9,12,14],[1,3,9,10,12,13,14],[1,4,5,6,10,12,14],[1,4,5,7,9,13,14],[1,4,8,10,11,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,8,9,13,14],[2,3,7,10,11,12,14],[2,4,6,7,10,13,14],[2,4,6,8,9,10,12],[2,4,7,9,11,12,13],[2,5,6,9,10,11,14],[2,5,7,8,12,13,14],[3,4,5,6,9,11,13],[3,4,5,7,8,10,12],[3,4,6,7,8,11,14],[3,5,6,10,11,12,13],[3,5,7,8,9,10,13],[4,5,8,9,11,12,14]]; G[8627]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8628: autom. group order 2, simple, residual B[8628]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,5,7,9,10,11],[1,3,6,7,9,12,14],[1,3,9,10,12,13,14],[1,4,5,6,10,12,14],[1,4,5,7,9,13,14],[1,4,8,10,11,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,8,9,10,14],[2,3,7,11,12,13,14],[2,4,6,7,10,13,14],[2,4,6,8,9,12,13],[2,4,7,9,10,11,12],[2,5,6,9,11,13,14],[2,5,7,8,10,12,14],[3,4,5,6,10,11,12],[3,4,5,7,8,9,13],[3,4,6,7,8,11,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,8,9,11,12,14]]; G[8628]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8629: autom. group order 2, simple, residual B[8629]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,5,7,9,10,11],[1,3,6,7,9,12,14],[1,3,9,10,12,13,14],[1,4,5,6,10,12,14],[1,4,5,7,9,13,14],[1,4,8,10,11,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,8,9,10,14],[2,3,7,11,12,13,14],[2,4,6,7,10,13,14],[2,4,6,8,9,12,13],[2,4,7,9,10,11,12],[2,5,6,10,11,12,14],[2,5,7,8,9,13,14],[3,4,5,6,9,11,13],[3,4,5,7,8,10,12],[3,4,6,7,8,11,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,8,9,11,12,14]]; G[8629]:=Group([(6,7)(8,11)(9,12)(10,13)]); # Design 8630: autom. group order 2, simple, residual B[8630]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,5,10,11,13,14],[1,3,6,8,10,12,13],[1,3,6,9,11,12,14],[1,4,5,7,8,9,13],[1,4,6,7,10,11,12],[1,4,7,8,10,11,14],[1,5,6,9,10,13,14],[1,7,8,9,12,13,14],[2,3,7,8,9,11,14],[2,3,7,10,12,13,14],[2,4,5,8,10,12,14],[2,4,6,8,9,12,13],[2,4,6,9,11,13,14],[2,5,6,7,9,10,12],[2,6,7,8,10,11,13],[3,4,5,7,12,13,14],[3,4,5,9,10,11,13],[3,4,6,7,9,10,14],[3,5,6,7,8,11,13],[3,5,8,9,10,11,12],[4,5,6,8,11,12,14]]; G[8630]:=Group([(1,9)(2,10)(6,11)(7,13)(12,14)]); # Design 8631: autom. group order 2, simple, residual B[8631]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,5,10,11,13,14],[1,3,6,8,9,12,13],[1,3,6,10,11,12,14],[1,4,5,7,8,10,13],[1,4,6,9,11,13,14],[1,4,7,8,9,11,14],[1,5,6,7,9,10,12],[1,7,8,10,12,13,14],[2,3,7,8,10,11,14],[2,3,7,9,12,13,14],[2,4,5,8,9,12,14],[2,4,6,7,10,11,12],[2,4,6,8,10,12,13],[2,5,6,9,10,13,14],[2,6,7,8,9,11,13],[3,4,5,7,12,13,14],[3,4,5,9,10,11,13],[3,4,6,7,9,10,14],[3,5,6,7,8,11,13],[3,5,8,9,10,11,12],[4,5,6,8,11,12,14]]; G[8631]:=Group([(1,10)(2,9)(6,11)(7,13)(12,14)]); # Design 8632: autom. group order 2, simple B[8632]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,5,9,10,11,14],[1,3,6,7,9,10,13],[1,3,6,8,11,12,13],[1,4,5,7,8,10,13],[1,4,6,9,12,13,14],[1,4,7,10,11,12,14],[1,5,8,9,12,13,14],[1,6,7,8,10,11,14],[2,3,7,8,9,12,14],[2,3,7,10,12,13,14],[2,4,5,6,11,13,14],[2,4,6,8,10,12,14],[2,4,7,8,9,11,13],[2,5,6,7,10,12,13],[2,6,8,9,10,11,13],[3,4,5,8,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,9,11,14],[3,5,6,9,10,11,12],[3,5,7,8,11,13,14],[4,5,6,7,8,9,12]]; G[8632]:=Group([(1,11)(3,13)(5,9)(6,8)(10,14)]); # Design 8633: autom. group order 2, simple B[8633]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,14],[1,2,5,9,10,11,12],[1,3,6,8,11,12,13],[1,3,6,9,10,13,14],[1,4,5,7,8,10,13],[1,4,6,7,9,12,13],[1,4,7,10,11,12,14],[1,5,8,9,12,13,14],[1,6,7,8,10,11,14],[2,3,7,8,9,10,12],[2,3,7,10,12,13,14],[2,4,5,6,10,11,13],[2,4,6,7,8,12,14],[2,4,8,9,11,13,14],[2,5,6,10,12,13,14],[2,6,7,8,9,11,13],[3,4,5,7,9,13,14],[3,4,5,8,11,12,14],[3,4,6,9,10,11,14],[3,5,6,7,9,11,12],[3,5,7,8,10,11,13],[4,5,6,8,9,10,12]]; G[8633]:=Group([(1,11)(3,13)(5,9)(6,8)(7,14)]); # Design 8634: autom. group order 2, simple, residual B[8634]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,5,9,11,13,14],[1,3,6,7,8,11,13],[1,3,7,10,12,13,14],[1,4,5,6,10,12,14],[1,4,6,9,10,11,13],[1,4,7,8,12,13,14],[1,5,7,8,9,10,14],[1,6,8,9,10,11,12],[2,3,6,7,9,10,12],[2,3,8,10,11,12,14],[2,4,5,8,10,12,13],[2,4,6,7,10,11,14],[2,4,6,8,9,13,14],[2,5,7,8,10,11,13],[2,6,7,9,12,13,14],[3,4,5,7,9,10,13],[3,4,5,9,11,12,14],[3,4,7,8,9,11,14],[3,5,6,8,9,12,13],[3,5,6,10,11,13,14],[4,5,6,7,8,11,12]]; G[8634]:=Group([(2,9)(3,10)(4,8)(5,11)(7,12)(13,14)]); # Design 8635: autom. group order 2, simple, residual B[8635]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,10,11],[1,2,5,9,11,12,14],[1,3,6,8,10,11,13],[1,3,7,10,11,12,14],[1,4,5,6,12,13,14],[1,4,6,7,9,10,14],[1,4,7,8,9,12,13],[1,5,8,9,10,12,13],[1,6,7,8,11,13,14],[2,3,6,7,9,12,13],[2,3,7,10,12,13,14],[2,4,5,7,8,11,13],[2,4,6,8,10,11,12],[2,4,6,9,10,13,14],[2,5,7,8,10,13,14],[2,6,8,9,11,12,14],[3,4,5,8,10,12,14],[3,4,5,9,11,13,14],[3,4,7,8,9,11,14],[3,5,6,7,8,9,12],[3,5,6,9,10,11,13],[4,5,6,7,10,11,12]]; G[8635]:=Group([(2,13)(3,12)(5,8)(6,9)(10,14)]); # Design 8636: autom. group order 2, simple, residual B[8636]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,7,14],[1,2,5,8,9,11,12],[1,2,5,8,10,11,14],[1,3,6,8,9,10,13],[1,3,7,9,11,12,13],[1,4,5,6,10,12,13],[1,4,6,10,11,12,14],[1,4,7,8,9,13,14],[1,5,7,8,12,13,14],[1,6,7,9,10,11,14],[2,3,6,8,9,12,14],[2,3,7,10,12,13,14],[2,4,5,9,11,13,14],[2,4,6,7,8,11,13],[2,4,7,9,10,12,14],[2,5,6,9,10,12,13],[2,6,7,8,10,11,13],[3,4,5,7,9,10,11],[3,4,5,8,10,13,14],[3,4,6,8,11,12,14],[3,5,6,9,11,13,14],[3,5,7,8,10,11,12],[4,5,6,7,8,9,12]]; G[8636]:=Group([(1,11)(3,13)(5,8)(10,14)]); # Design 8637: autom. group order 2, simple, residual B[8637]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,7,14],[1,2,5,8,9,11,12],[1,2,5,8,10,11,14],[1,3,6,8,9,13,14],[1,3,7,9,11,12,13],[1,4,5,6,10,12,13],[1,4,6,10,11,12,14],[1,4,7,8,9,13,14],[1,5,7,8,10,12,13],[1,6,7,9,10,11,14],[2,3,6,8,9,10,12],[2,3,7,10,12,13,14],[2,4,5,9,11,13,14],[2,4,6,7,8,11,13],[2,4,7,9,10,12,14],[2,5,6,9,12,13,14],[2,6,7,8,10,11,13],[3,4,5,7,9,10,11],[3,4,5,8,10,13,14],[3,4,6,8,11,12,14],[3,5,6,9,10,11,13],[3,5,7,8,11,12,14],[4,5,6,7,8,9,12]]; G[8637]:=Group([(1,11)(3,13)(5,8)(10,14)]); # Design 8638: autom. group order 2, simple, residual B[8638]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,5,9,10,11,14],[1,3,6,7,9,10,12],[1,3,7,10,12,13,14],[1,4,5,6,11,13,14],[1,4,6,8,10,12,14],[1,4,7,8,9,11,13],[1,5,7,8,12,13,14],[1,6,8,9,10,11,13],[2,3,6,8,11,12,13],[2,3,7,10,11,13,14],[2,4,5,8,10,12,13],[2,4,6,7,9,13,14],[2,4,7,8,9,12,14],[2,5,6,9,10,12,13],[2,6,7,8,10,11,14],[3,4,5,7,8,10,11],[3,4,5,9,10,13,14],[3,4,6,9,11,12,14],[3,5,6,7,8,9,13],[3,5,8,9,11,12,14],[4,5,6,7,10,11,12]]; G[8638]:=Group([(2,11)(3,13)(5,9)(6,8)(10,14)]); # Design 8639: autom. group order 2, simple B[8639]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,5,9,10,11,14],[1,3,6,7,9,10,12],[1,3,7,10,12,13,14],[1,4,5,6,11,13,14],[1,4,6,8,10,12,14],[1,4,7,8,9,11,13],[1,5,7,8,12,13,14],[1,6,8,9,10,11,13],[2,3,6,8,11,12,13],[2,3,7,8,9,13,14],[2,4,5,8,10,12,13],[2,4,6,7,9,13,14],[2,4,7,10,11,12,14],[2,5,6,9,10,12,13],[2,6,7,8,10,11,14],[3,4,5,7,8,10,11],[3,4,5,9,10,13,14],[3,4,6,9,11,12,14],[3,5,6,7,10,11,13],[3,5,8,9,11,12,14],[4,5,6,7,8,9,12]]; G[8639]:=Group([(2,11)(3,13)(5,9)(6,8)(10,14)]); # Design 8640: autom. group order 2, simple, residual B[8640]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,5,9,11,13,14],[1,3,6,7,10,11,13],[1,3,7,8,9,10,12],[1,4,5,6,10,12,13],[1,4,6,8,9,13,14],[1,4,7,8,10,11,14],[1,5,8,10,11,12,14],[1,6,7,9,12,13,14],[2,3,6,8,11,12,14],[2,3,7,10,12,13,14],[2,4,5,7,9,10,14],[2,4,6,9,10,11,12],[2,4,7,8,12,13,14],[2,5,6,7,8,10,13],[2,6,8,9,10,11,13],[3,4,5,8,9,12,13],[3,4,5,10,11,13,14],[3,4,6,7,9,11,14],[3,5,6,9,10,12,14],[3,5,7,8,9,11,13],[4,5,6,7,8,11,12]]; G[8640]:=Group([(1,9)(3,10)(5,11)(7,12)(13,14)]); # Design 8641: autom. group order 2, simple, residual B[8641]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,5,9,11,13,14],[1,3,6,8,11,12,14],[1,3,7,10,12,13,14],[1,4,5,6,7,10,13],[1,4,6,9,10,11,13],[1,4,7,8,12,13,14],[1,5,7,8,9,10,14],[1,6,8,9,10,11,12],[2,3,6,9,10,13,14],[2,3,7,8,10,11,13],[2,4,5,10,11,12,14],[2,4,6,7,8,9,12],[2,4,7,8,10,11,14],[2,5,6,8,10,12,13],[2,6,7,9,12,13,14],[3,4,5,8,9,12,13],[3,4,5,9,10,12,14],[3,4,6,7,9,11,14],[3,5,6,7,10,11,12],[3,5,7,8,9,11,13],[4,5,6,8,11,13,14]]; G[8641]:=Group([(2,9)(3,10)(4,8)(5,11)(7,12)(13,14)]); # Design 8642: autom. group order 2, simple B[8642]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,5,9,10,13,14],[1,3,6,9,11,13,14],[1,3,7,8,11,12,13],[1,4,5,6,10,12,13],[1,4,6,7,10,12,14],[1,4,7,8,9,13,14],[1,5,8,9,10,11,12],[1,6,7,8,10,11,14],[2,3,6,7,9,10,12],[2,3,8,10,12,13,14],[2,4,5,7,11,13,14],[2,4,6,8,10,11,13],[2,4,7,8,9,12,14],[2,5,6,8,11,12,14],[2,6,7,9,10,11,13],[3,4,5,7,8,10,11],[3,4,5,9,10,11,14],[3,4,6,9,11,12,14],[3,5,6,7,8,9,13],[3,5,7,10,12,13,14],[4,5,6,8,9,12,13]]; G[8642]:=Group([(1,13)(3,11)(5,10)(7,8)(9,14)]); # Design 8643: autom. group order 2, simple B[8643]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,5,9,10,13,14],[1,3,6,9,11,13,14],[1,3,7,8,11,12,13],[1,4,5,6,10,12,13],[1,4,6,7,10,12,14],[1,4,7,8,10,11,14],[1,5,8,9,10,11,12],[1,6,7,8,9,13,14],[2,3,6,7,9,10,12],[2,3,8,10,12,13,14],[2,4,5,7,11,13,14],[2,4,6,8,10,11,13],[2,4,7,8,9,12,14],[2,5,6,8,11,12,14],[2,6,7,9,10,11,13],[3,4,5,7,8,9,13],[3,4,5,9,10,11,14],[3,4,6,9,11,12,14],[3,5,6,7,8,10,11],[3,5,7,10,12,13,14],[4,5,6,8,9,12,13]]; G[8643]:=Group([(1,13)(3,11)(5,10)(7,8)(9,14)]); # Design 8644: autom. group order 2, simple, residual B[8644]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,5,9,11,13,14],[1,3,6,9,10,13,14],[1,3,7,8,9,10,12],[1,4,5,6,10,12,13],[1,4,6,7,8,11,13],[1,4,7,8,10,11,14],[1,5,8,10,11,12,14],[1,6,7,9,12,13,14],[2,3,6,8,11,12,14],[2,3,7,10,12,13,14],[2,4,5,7,9,10,14],[2,4,6,9,10,11,12],[2,4,7,8,12,13,14],[2,5,6,7,8,10,13],[2,6,8,9,10,11,13],[3,4,5,8,9,12,13],[3,4,5,10,11,13,14],[3,4,6,7,9,11,14],[3,5,6,7,10,11,12],[3,5,7,8,9,11,13],[4,5,6,8,9,12,14]]; G[8644]:=Group([(1,9)(3,10)(5,11)(7,12)(13,14)]); # Design 8645: autom. group order 2, simple, residual B[8645]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,10,11],[1,2,5,8,11,12,13],[1,3,6,9,11,12,14],[1,3,7,9,12,13,14],[1,4,5,6,10,12,13],[1,4,6,7,10,13,14],[1,4,8,9,10,11,14],[1,5,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,6,7,10,11,14],[2,3,7,9,10,12,13],[2,4,5,9,10,12,14],[2,4,6,7,8,9,13],[2,4,7,8,11,12,14],[2,5,6,9,11,13,14],[2,6,8,10,12,13,14],[3,4,5,7,8,12,14],[3,4,5,10,11,13,14],[3,4,6,8,9,11,13],[3,5,6,8,9,10,12],[3,5,7,8,10,11,13],[4,5,6,7,9,11,12]]; G[8645]:=Group([(1,13)(2,11)(6,10)(7,14)]); # Design 8646: autom. group order 2, simple B[8646]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,14],[1,2,5,9,10,11,12],[1,3,6,9,10,12,14],[1,3,7,10,12,13,14],[1,4,5,6,10,11,13],[1,4,6,7,8,12,14],[1,4,8,9,11,13,14],[1,5,7,8,10,12,13],[1,6,7,8,9,11,13],[2,3,6,8,11,12,13],[2,3,7,8,9,10,13],[2,4,5,8,12,13,14],[2,4,6,9,10,13,14],[2,4,7,10,11,12,14],[2,5,6,7,9,12,13],[2,6,7,8,10,11,14],[3,4,5,7,8,10,11],[3,4,5,7,9,13,14],[3,4,6,7,9,11,12],[3,5,6,10,11,13,14],[3,5,8,9,11,12,14],[4,5,6,8,9,10,12]]; G[8646]:=Group([(2,11)(3,13)(5,9)(6,8)(7,14)]); # Design 8647: autom. group order 2, simple, residual B[8647]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,8,11,12,13],[1,2,5,9,10,11,14],[1,3,6,7,9,11,12],[1,3,7,9,12,13,14],[1,4,5,6,10,12,13],[1,4,6,7,10,13,14],[1,4,7,8,9,10,11],[1,5,7,8,9,13,14],[1,6,8,10,11,12,14],[2,3,6,7,10,11,14],[2,3,9,10,12,13,14],[2,4,5,7,9,10,12],[2,4,6,8,9,13,14],[2,4,7,8,11,12,14],[2,5,6,7,9,11,13],[2,6,7,8,10,12,13],[3,4,5,7,8,12,14],[3,4,5,10,11,13,14],[3,4,6,8,9,11,13],[3,5,6,8,9,10,12],[3,5,7,8,10,11,13],[4,5,6,9,11,12,14]]; G[8647]:=Group([(1,13)(2,11)(6,10)(7,14)]); # Design 8648: autom. group order 2, simple B[8648]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,5,10,11,13,14],[1,3,6,7,10,11,14],[1,3,7,9,12,13,14],[1,4,5,6,8,12,13],[1,4,6,9,10,12,14],[1,4,7,8,11,13,14],[1,5,7,8,9,10,13],[1,6,8,9,10,11,12],[2,3,7,8,9,12,14],[2,3,8,10,11,12,13],[2,4,5,9,10,11,14],[2,4,6,7,8,9,11],[2,4,6,7,10,12,13],[2,5,6,9,12,13,14],[2,6,7,8,10,13,14],[3,4,5,7,9,10,13],[3,4,5,8,10,12,14],[3,4,6,9,11,13,14],[3,5,6,7,10,11,12],[3,5,6,8,9,11,13],[4,5,7,8,11,12,14]]; G[8648]:=Group([(2,9)(3,10)(4,8)(5,12)(7,11)]); # Design 8649: autom. group order 2, simple B[8649]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,5,10,11,13,14],[1,3,6,7,9,11,14],[1,3,7,10,12,13,14],[1,4,5,6,8,12,13],[1,4,6,9,10,11,13],[1,4,7,8,11,12,14],[1,5,8,9,10,12,14],[1,6,7,8,9,10,13],[2,3,7,8,10,11,13],[2,3,8,9,12,13,14],[2,4,5,7,9,10,14],[2,4,6,8,10,11,14],[2,4,6,9,12,13,14],[2,5,6,7,10,12,13],[2,6,7,8,9,11,12],[3,4,5,7,8,9,13],[3,4,5,9,10,11,12],[3,4,6,7,10,12,14],[3,5,6,8,10,11,12],[3,5,6,9,11,13,14],[4,5,7,8,11,13,14]]; G[8649]:=Group([(2,10)(3,9)(4,8)(5,13)(11,14)]); # Design 8650: autom. group order 2, simple, residual B[8650]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,10,11],[1,2,5,9,11,12,14],[1,3,6,8,10,11,13],[1,3,7,10,11,12,14],[1,4,5,6,12,13,14],[1,4,6,7,9,10,14],[1,4,7,8,9,12,13],[1,5,8,9,10,12,13],[1,6,7,8,11,13,14],[2,3,7,8,9,13,14],[2,3,7,10,12,13,14],[2,4,5,7,8,11,13],[2,4,6,8,10,11,12],[2,4,6,9,10,13,14],[2,5,6,7,10,12,13],[2,6,8,9,11,12,14],[3,4,5,8,10,12,14],[3,4,5,9,11,13,14],[3,4,6,7,9,11,12],[3,5,6,7,8,9,12],[3,5,6,9,10,11,13],[4,5,7,8,10,11,14]]; G[8650]:=Group([(2,13)(3,12)(5,8)(6,9)(10,14)]); # Design 8651: autom. group order 2, simple B[8651]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,10,11],[1,2,5,9,11,12,14],[1,3,6,8,10,11,13],[1,3,7,10,11,12,14],[1,4,5,6,12,13,14],[1,4,6,7,9,10,14],[1,4,7,8,9,12,13],[1,5,8,9,10,12,13],[1,6,7,8,11,13,14],[2,3,7,8,9,13,14],[2,3,7,10,12,13,14],[2,4,5,8,10,13,14],[2,4,6,7,9,11,13],[2,4,6,8,10,11,12],[2,5,6,7,10,12,13],[2,6,8,9,11,12,14],[3,4,5,7,8,11,12],[3,4,5,9,11,13,14],[3,4,6,9,10,12,14],[3,5,6,7,8,9,12],[3,5,6,9,10,11,13],[4,5,7,8,10,11,14]]; G[8651]:=Group([(2,13)(3,12)(5,8)(6,9)(10,14)]); # Design 8652: autom. group order 2, simple, residual B[8652]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,7,14],[1,2,5,8,9,11,12],[1,2,5,8,11,13,14],[1,3,6,8,9,10,12],[1,3,7,10,11,12,13],[1,4,5,6,10,12,13],[1,4,7,8,9,13,14],[1,4,7,9,10,11,14],[1,5,6,9,10,11,14],[1,6,7,8,12,13,14],[2,3,6,9,10,13,14],[2,3,7,9,11,12,14],[2,4,5,8,10,12,14],[2,4,6,7,8,10,11],[2,4,6,9,12,13,14],[2,5,7,9,10,12,13],[2,6,7,8,10,11,13],[3,4,5,7,8,9,13],[3,4,5,10,11,13,14],[3,4,6,8,11,12,14],[3,5,6,8,9,11,13],[3,5,7,8,10,12,14],[4,5,6,7,9,11,12]]; G[8652]:=Group([(1,8)(3,10)(5,11)(13,14)]); # Design 8653: autom. group order 2, simple, residual B[8653]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,5,9,11,13,14],[1,3,6,7,9,10,12],[1,3,7,9,10,13,14],[1,4,5,6,10,11,14],[1,4,7,8,9,13,14],[1,4,8,10,11,12,14],[1,5,6,8,10,12,13],[1,6,7,8,11,12,13],[2,3,6,10,12,13,14],[2,3,7,8,11,12,14],[2,4,5,7,10,12,13],[2,4,6,7,8,13,14],[2,4,6,9,10,11,13],[2,5,8,9,10,12,14],[2,6,7,8,9,10,11],[3,4,5,7,8,10,11],[3,4,5,8,9,12,13],[3,4,6,9,11,12,14],[3,5,6,8,9,11,13],[3,5,7,10,11,13,14],[4,5,6,7,9,12,14]]; G[8653]:=Group([(1,9)(3,10)(4,8)(5,11)(13,14)]); # Design 8654: autom. group order 2, simple B[8654]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,5,9,11,13,14],[1,3,6,9,10,13,14],[1,3,7,9,10,12,14],[1,4,5,6,10,11,12],[1,4,7,8,9,12,13],[1,4,7,8,10,11,14],[1,5,6,8,10,12,13],[1,6,7,8,11,13,14],[2,3,6,7,10,12,13],[2,3,8,11,12,13,14],[2,4,5,7,10,13,14],[2,4,6,7,8,12,14],[2,4,6,9,10,11,14],[2,5,7,8,9,10,13],[2,6,8,9,10,11,12],[3,4,5,8,9,12,14],[3,4,5,8,10,11,13],[3,4,6,7,9,11,13],[3,5,6,7,8,9,11],[3,5,7,10,11,12,14],[4,5,6,9,12,13,14]]; G[8654]:=Group([(1,9)(3,10)(4,8)(5,11)(7,12)]); # Design 8655: autom. group order 2, simple, residual B[8655]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,10,11],[1,2,5,8,11,12,13],[1,3,6,7,9,11,14],[1,3,7,9,10,12,13],[1,4,5,8,9,12,14],[1,4,6,7,8,10,13],[1,4,6,9,12,13,14],[1,5,6,10,11,13,14],[1,7,8,10,11,12,14],[2,3,6,10,11,12,14],[2,3,7,8,12,13,14],[2,4,5,7,10,13,14],[2,4,6,7,9,11,12],[2,4,8,9,10,11,14],[2,5,6,9,10,12,13],[2,6,7,8,9,13,14],[3,4,5,7,10,12,14],[3,4,5,9,11,13,14],[3,4,6,8,10,11,13],[3,5,6,8,9,10,12],[3,5,7,8,9,11,13],[4,5,6,7,8,11,12]]; G[8655]:=Group([(1,11)(2,13)(6,9)(7,14)]); # Design 8656: autom. group order 2, simple, residual B[8656]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,5,10,11,13,14],[1,3,6,9,11,12,14],[1,3,7,8,10,11,14],[1,4,5,7,8,9,13],[1,4,6,7,10,11,12],[1,4,6,8,10,12,13],[1,5,6,9,10,13,14],[1,7,8,9,12,13,14],[2,3,6,8,9,12,13],[2,3,7,10,12,13,14],[2,4,5,8,10,12,14],[2,4,6,9,11,13,14],[2,4,7,8,9,11,14],[2,5,6,7,9,10,12],[2,6,7,8,10,11,13],[3,4,5,7,12,13,14],[3,4,5,9,10,11,13],[3,4,6,7,9,10,14],[3,5,6,7,8,11,13],[3,5,8,9,10,11,12],[4,5,6,8,11,12,14]]; G[8656]:=Group([(1,9)(2,10)(6,11)(7,13)(12,14)]); # Design 8657: autom. group order 2, simple, residual B[8657]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,5,10,11,13,14],[1,3,6,10,11,12,14],[1,3,7,8,9,11,14],[1,4,5,7,8,10,13],[1,4,6,8,9,12,13],[1,4,6,9,11,13,14],[1,5,6,7,9,10,12],[1,7,8,10,12,13,14],[2,3,6,8,10,12,13],[2,3,7,9,12,13,14],[2,4,5,8,9,12,14],[2,4,6,7,10,11,12],[2,4,7,8,10,11,14],[2,5,6,9,10,13,14],[2,6,7,8,9,11,13],[3,4,5,7,12,13,14],[3,4,5,9,10,11,13],[3,4,6,7,9,10,14],[3,5,6,7,8,11,13],[3,5,8,9,10,11,12],[4,5,6,8,11,12,14]]; G[8657]:=Group([(1,10)(2,9)(6,11)(7,13)(12,14)]); # Design 8658: autom. group order 2, simple, residual B[8658]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,8,11,12,13],[1,2,5,9,10,11,14],[1,3,6,7,9,11,14],[1,3,9,10,12,13,14],[1,4,5,7,8,9,12],[1,4,6,7,9,12,13],[1,4,6,8,10,13,14],[1,5,6,7,10,11,13],[1,7,8,10,11,12,14],[2,3,6,7,10,11,12],[2,3,7,8,12,13,14],[2,4,5,7,10,13,14],[2,4,6,9,11,12,14],[2,4,7,8,9,10,11],[2,5,6,9,10,12,13],[2,6,7,8,9,13,14],[3,4,5,7,10,12,14],[3,4,5,9,11,13,14],[3,4,6,8,10,11,13],[3,5,6,8,9,10,12],[3,5,7,8,9,11,13],[4,5,6,8,11,12,14]]; G[8658]:=Group([(1,11)(2,13)(6,9)(7,14)]); # Design 8659: autom. group order 2, simple B[8659]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,14],[1,2,5,7,10,12,13],[1,3,6,9,12,13,14],[1,3,7,9,10,11,12],[1,4,5,9,12,13,14],[1,4,6,7,8,11,13],[1,4,6,8,10,12,14],[1,5,6,8,9,10,11],[1,7,8,10,11,13,14],[2,3,7,8,11,12,14],[2,3,8,9,10,13,14],[2,4,5,8,9,11,13],[2,4,6,7,10,13,14],[2,4,6,9,10,11,12],[2,5,6,10,11,12,14],[2,6,7,8,9,12,13],[3,4,5,7,8,10,12],[3,4,5,10,11,13,14],[3,4,6,7,9,11,14],[3,5,6,7,9,10,13],[3,5,6,8,11,12,13],[4,5,7,8,9,12,14]]; G[8659]:=Group([(1,8)(4,14)(5,9)(6,10)(7,13)]); # Design 8660: autom. group order 2, simple B[8660]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,5,10,11,13,14],[1,3,6,7,10,12,14],[1,3,7,9,10,12,13],[1,4,5,10,11,12,14],[1,4,6,7,8,11,13],[1,4,6,8,9,12,14],[1,5,6,8,9,10,13],[1,7,8,9,11,13,14],[2,3,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,8,10,13],[2,4,6,7,9,11,14],[2,4,6,9,10,12,13],[2,5,6,9,12,13,14],[2,6,7,8,10,11,12],[3,4,5,7,9,13,14],[3,4,5,8,9,11,12],[3,4,6,10,11,13,14],[3,5,6,7,9,10,11],[3,5,6,8,11,12,13],[4,5,7,8,10,12,14]]; G[8660]:=Group([(1,8)(4,14)(5,10)(6,9)(7,11)]); # Design 8661: autom. group order 2, simple B[8661]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,5,9,11,13,14],[1,3,6,7,10,13,14],[1,3,7,8,11,12,13],[1,4,5,7,10,12,14],[1,4,6,8,12,13,14],[1,4,6,9,10,11,13],[1,5,8,9,10,12,14],[1,6,7,8,9,10,11],[2,3,6,7,9,10,12],[2,3,9,10,12,13,14],[2,4,5,7,8,10,13],[2,4,6,10,11,12,14],[2,4,7,8,9,13,14],[2,5,6,8,10,11,13],[2,6,7,8,11,12,14],[3,4,5,6,9,11,14],[3,4,5,8,10,11,12],[3,4,7,8,9,11,14],[3,5,6,8,9,12,13],[3,5,7,10,11,13,14],[4,5,6,7,9,12,13]]; G[8661]:=Group([(2,9)(3,10)(4,8)(5,11)(13,14)]); # Design 8662: autom. group order 2, simple, residual B[8662]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,5,9,11,13,14],[1,3,6,7,10,12,13],[1,3,7,8,11,13,14],[1,4,5,10,12,13,14],[1,4,6,7,8,12,14],[1,4,6,9,10,11,14],[1,5,7,8,9,10,13],[1,6,8,9,10,11,12],[2,3,6,9,10,13,14],[2,3,7,9,10,12,14],[2,4,5,8,10,12,13],[2,4,6,7,10,11,13],[2,4,7,8,9,12,14],[2,5,6,7,8,10,11],[2,6,8,11,12,13,14],[3,4,5,6,9,11,12],[3,4,5,8,10,11,14],[3,4,7,8,9,11,13],[3,5,6,8,9,12,13],[3,5,7,10,11,12,14],[4,5,6,7,9,13,14]]; G[8662]:=Group([(2,9)(3,10)(4,8)(5,11)(7,12)]); # Design 8663: autom. group order 2, simple B[8663]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,5,9,10,13,14],[1,3,6,7,10,11,14],[1,3,7,9,10,12,13],[1,4,5,8,9,10,11],[1,4,6,7,8,12,13],[1,4,6,10,11,12,14],[1,5,8,11,12,13,14],[1,6,7,8,9,13,14],[2,3,6,9,11,12,14],[2,3,8,10,12,13,14],[2,4,5,7,11,13,14],[2,4,6,8,10,11,13],[2,4,7,8,9,12,14],[2,5,6,7,8,10,12],[2,6,7,9,10,11,13],[3,4,5,6,9,12,13],[3,4,5,7,10,13,14],[3,4,7,8,9,11,14],[3,5,6,8,9,11,13],[3,5,7,8,10,11,12],[4,5,6,9,10,12,14]]; G[8663]:=Group([(1,13)(3,11)(5,10)(7,8)(9,14)]); # Design 8664: autom. group order 2, simple, residual B[8664]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,5,9,10,13,14],[1,3,6,7,8,11,13],[1,3,7,10,11,12,14],[1,4,5,8,9,10,11],[1,4,6,9,12,13,14],[1,4,6,10,11,12,14],[1,5,7,8,10,12,13],[1,6,7,8,9,13,14],[2,3,6,7,9,10,12],[2,3,8,10,12,13,14],[2,4,5,7,11,13,14],[2,4,6,8,10,11,13],[2,4,7,8,9,12,14],[2,5,6,8,11,12,14],[2,6,7,9,10,11,13],[3,4,5,6,9,12,13],[3,4,5,7,10,13,14],[3,4,7,8,9,11,14],[3,5,6,9,10,11,14],[3,5,8,9,11,12,13],[4,5,6,7,8,10,12]]; G[8664]:=Group([(1,13)(3,11)(5,10)(7,8)(9,14)]); # Design 8665: autom. group order 2, simple B[8665]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,11,12,14],[1,2,5,9,10,13,14],[1,3,6,7,8,11,13],[1,3,9,11,12,13,14],[1,4,5,8,10,11,12],[1,4,6,7,10,12,14],[1,4,6,9,10,11,14],[1,5,7,8,9,10,13],[1,6,7,8,9,12,13],[2,3,6,7,9,10,12],[2,3,8,10,12,13,14],[2,4,5,7,9,11,13],[2,4,6,8,10,11,13],[2,4,7,8,9,12,14],[2,5,6,8,9,11,12],[2,6,7,10,11,13,14],[3,4,5,6,9,13,14],[3,4,5,7,10,12,13],[3,4,7,8,9,11,14],[3,5,6,9,10,11,12],[3,5,7,8,10,11,14],[4,5,6,8,12,13,14]]; G[8665]:=Group([(1,13)(3,11)(5,10)(7,8)]); # Design 8666: autom. group order 2, simple, residual B[8666]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,7,9,12,14],[1,2,5,10,12,13,14],[1,3,6,9,12,13,14],[1,3,7,8,10,12,14],[1,4,5,7,8,9,13],[1,4,6,7,10,11,14],[1,4,6,9,10,11,14],[1,5,7,8,10,11,13],[1,6,8,9,11,12,13],[2,3,6,7,9,10,13],[2,3,8,10,11,13,14],[2,4,5,9,11,13,14],[2,4,6,7,10,12,13],[2,4,7,8,11,12,14],[2,5,6,8,9,10,14],[2,6,7,8,9,11,12],[3,4,5,6,8,12,14],[3,4,5,9,10,11,12],[3,4,7,8,9,13,14],[3,5,6,7,11,13,14],[3,5,7,9,10,11,12],[4,5,6,8,10,12,13]]; G[8666]:=Group([(1,5)(3,14)(4,9)(6,12)(8,13)(10,11)]); # Design 8667: autom. group order 2, simple B[8667]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,5,10,11,13,14],[1,3,6,9,11,12,14],[1,3,7,10,12,13,14],[1,4,5,7,8,12,13],[1,4,6,7,8,11,14],[1,4,6,9,10,11,13],[1,5,8,9,10,12,14],[1,6,7,8,9,10,13],[2,3,6,7,9,10,12],[2,3,7,8,10,11,13],[2,4,5,7,9,10,14],[2,4,6,9,12,13,14],[2,4,8,10,11,12,14],[2,5,6,8,9,11,13],[2,6,7,8,12,13,14],[3,4,5,6,10,13,14],[3,4,5,8,9,12,13],[3,4,7,8,9,11,14],[3,5,6,8,10,11,12],[3,5,7,9,11,13,14],[4,5,6,7,10,11,12]]; G[8667]:=Group([(2,10)(3,9)(4,8)(5,13)(11,14)]); # Design 8668: autom. group order 2, simple, residual B[8668]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,11,12,14],[1,2,5,9,10,13,14],[1,3,6,9,11,12,13],[1,3,7,8,11,13,14],[1,4,5,8,10,11,12],[1,4,6,7,10,12,14],[1,4,6,9,10,11,14],[1,5,7,8,9,10,13],[1,6,7,8,9,12,13],[2,3,6,7,9,10,12],[2,3,8,10,12,13,14],[2,4,5,7,9,11,13],[2,4,6,8,10,11,13],[2,4,7,8,9,12,14],[2,5,6,8,9,11,12],[2,6,7,10,11,13,14],[3,4,5,6,9,13,14],[3,4,5,7,10,12,13],[3,4,7,8,9,11,14],[3,5,6,7,8,10,11],[3,5,9,10,11,12,14],[4,5,6,8,12,13,14]]; G[8668]:=Group([(1,13)(3,11)(5,10)(7,8)]); # Design 8669: autom. group order 2, simple, residual B[8669]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,5,9,10,13,14],[1,3,6,8,11,12,13],[1,3,7,8,9,10,13],[1,4,5,9,10,11,12],[1,4,6,7,10,11,14],[1,4,6,8,10,12,14],[1,5,7,8,11,13,14],[1,6,7,9,12,13,14],[2,3,6,9,11,12,14],[2,3,7,10,12,13,14],[2,4,5,8,11,13,14],[2,4,6,7,10,11,13],[2,4,7,8,9,12,14],[2,5,6,7,8,10,12],[2,6,8,9,10,11,13],[3,4,5,6,7,9,13],[3,4,5,10,12,13,14],[3,4,7,8,9,11,14],[3,5,6,9,10,11,14],[3,5,7,8,10,11,12],[4,5,6,8,9,12,13]]; G[8669]:=Group([(1,13)(3,11)(5,10)(9,14)]); # Design 8670: autom. group order 2, simple, residual B[8670]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,5,9,10,13,14],[1,3,6,8,11,12,13],[1,3,7,8,10,13,14],[1,4,5,10,11,12,14],[1,4,6,7,10,11,14],[1,4,6,8,9,10,12],[1,5,7,8,9,11,13],[1,6,7,9,12,13,14],[2,3,6,9,11,12,14],[2,3,7,10,12,13,14],[2,4,5,8,11,13,14],[2,4,6,7,10,11,13],[2,4,7,8,9,12,14],[2,5,6,7,8,10,12],[2,6,8,9,10,11,13],[3,4,5,6,7,9,13],[3,4,5,9,10,12,13],[3,4,7,8,9,11,14],[3,5,6,9,10,11,14],[3,5,7,8,10,11,12],[4,5,6,8,12,13,14]]; G[8670]:=Group([(1,13)(3,11)(5,10)(9,14)]); # Design 8671: autom. group order 2, simple, residual B[8671]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,5,9,11,13,14],[1,3,6,7,10,13,14],[1,3,7,8,11,12,14],[1,4,5,7,10,12,13],[1,4,6,8,12,13,14],[1,4,6,9,10,11,13],[1,5,8,9,10,12,14],[1,6,7,8,9,10,11],[2,3,7,9,10,13,14],[2,3,8,10,11,12,13],[2,4,5,6,10,11,14],[2,4,6,7,8,9,12],[2,4,7,8,9,13,14],[2,5,6,8,10,12,13],[2,6,7,10,11,12,14],[3,4,5,7,8,10,11],[3,4,5,9,10,12,14],[3,4,6,9,11,12,14],[3,5,6,7,9,12,13],[3,5,6,8,9,11,13],[4,5,7,8,11,13,14]]; G[8671]:=Group([(2,9)(3,10)(4,8)(5,11)(13,14)]); # Design 8672: autom. group order 2, simple B[8672]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,5,9,11,13,14],[1,3,6,7,10,13,14],[1,3,7,8,11,12,14],[1,4,5,7,10,12,13],[1,4,6,8,12,13,14],[1,4,6,9,10,11,13],[1,5,8,9,10,12,14],[1,6,7,8,9,10,11],[2,3,7,8,10,11,13],[2,3,9,10,12,13,14],[2,4,5,6,10,11,14],[2,4,6,7,8,9,12],[2,4,7,8,9,13,14],[2,5,6,8,10,12,13],[2,6,7,10,11,12,14],[3,4,5,7,9,10,14],[3,4,5,8,10,11,12],[3,4,6,9,11,12,14],[3,5,6,7,9,12,13],[3,5,6,8,9,11,13],[4,5,7,8,11,13,14]]; G[8672]:=Group([(2,9)(3,10)(4,8)(5,11)(13,14)]); # Design 8673: autom. group order 2, simple, residual B[8673]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,5,9,11,13,14],[1,3,6,7,10,12,14],[1,3,8,11,12,13,14],[1,4,5,7,10,13,14],[1,4,6,7,8,12,13],[1,4,6,9,10,11,14],[1,5,7,8,9,10,13],[1,6,8,9,10,11,12],[2,3,7,8,10,11,13],[2,3,7,9,10,12,14],[2,4,5,6,10,11,12],[2,4,6,8,9,13,14],[2,4,7,8,9,12,14],[2,5,6,8,10,12,13],[2,6,7,10,11,13,14],[3,4,5,8,10,11,14],[3,4,5,9,10,12,13],[3,4,6,7,9,11,13],[3,5,6,7,8,9,11],[3,5,6,9,12,13,14],[4,5,7,8,11,12,14]]; G[8673]:=Group([(2,9)(3,10)(4,8)(5,11)(7,12)]); # Design 8674: autom. group order 2, simple B[8674]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,5,9,11,13,14],[1,3,6,10,12,13,14],[1,3,7,8,11,12,14],[1,4,5,7,10,12,13],[1,4,6,7,8,13,14],[1,4,6,9,10,11,13],[1,5,8,9,10,12,14],[1,6,7,8,9,10,11],[2,3,7,8,10,11,13],[2,3,7,9,10,13,14],[2,4,5,6,10,11,14],[2,4,6,7,8,9,12],[2,4,8,9,12,13,14],[2,5,6,8,10,12,13],[2,6,7,10,11,12,14],[3,4,5,7,9,10,14],[3,4,5,8,10,11,12],[3,4,6,9,11,12,14],[3,5,6,7,9,12,13],[3,5,6,8,9,11,13],[4,5,7,8,11,13,14]]; G[8674]:=Group([(2,9)(3,10)(4,8)(5,11)(13,14)]); # Design 8675: autom. group order 2, simple, residual B[8675]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,5,9,10,11,14],[1,3,6,8,11,12,13],[1,3,7,10,11,13,14],[1,4,5,7,8,10,13],[1,4,6,7,9,10,12],[1,4,6,9,12,13,14],[1,5,8,9,12,13,14],[1,6,7,8,10,11,14],[2,3,7,8,9,12,14],[2,3,7,10,12,13,14],[2,4,5,6,11,13,14],[2,4,6,8,10,12,14],[2,4,7,8,9,11,13],[2,5,6,7,10,12,13],[2,6,8,9,10,11,13],[3,4,5,8,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,9,11,14],[3,5,6,7,8,9,13],[3,5,6,9,10,11,12],[4,5,7,8,11,12,14]]; G[8675]:=Group([(1,11)(3,13)(5,9)(6,8)(10,14)]); # Design 8676: autom. group order 2, simple B[8676]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,5,9,10,11,14],[1,3,6,7,9,12,13],[1,3,7,8,10,12,14],[1,4,5,8,12,13,14],[1,4,6,8,10,11,13],[1,4,7,9,11,13,14],[1,5,6,9,10,13,14],[1,6,7,8,10,11,12],[2,3,6,8,9,11,13],[2,3,7,10,11,13,14],[2,4,5,7,8,10,13],[2,4,6,10,11,12,14],[2,4,7,8,9,12,14],[2,5,6,7,10,12,13],[2,6,8,9,12,13,14],[3,4,5,6,11,12,14],[3,4,5,9,10,12,13],[3,4,6,7,9,10,14],[3,5,7,8,11,13,14],[3,5,8,9,10,11,12],[4,5,6,7,8,9,11]]; G[8676]:=Group([(1,9)(2,10)(6,12)(7,13)(11,14)]); # Design 8677: autom. group order 2, simple, residual B[8677]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,10,11],[1,2,5,8,9,12,13],[1,3,6,7,9,11,14],[1,3,7,11,12,13,14],[1,4,5,8,11,12,14],[1,4,6,9,10,11,13],[1,4,7,8,10,13,14],[1,5,6,7,10,12,13],[1,6,8,9,10,12,14],[2,3,7,9,10,12,14],[2,3,8,10,11,13,14],[2,4,5,7,10,13,14],[2,4,6,7,8,11,12],[2,4,6,9,12,13,14],[2,5,6,9,11,13,14],[2,6,7,8,10,11,12],[3,4,5,6,10,12,14],[3,4,5,9,10,11,12],[3,4,6,7,8,9,13],[3,5,6,8,10,11,13],[3,5,7,8,9,12,13],[4,5,7,8,9,11,14]]; G[8677]:=Group([(1,9)(2,6)(3,13)(5,14)(7,12)(8,11)]); # Design 8678: autom. group order 2, simple B[8678]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,5,10,11,13,14],[1,3,6,7,10,12,13],[1,3,7,9,10,12,14],[1,4,5,10,11,12,14],[1,4,6,8,9,12,14],[1,4,7,8,9,11,13],[1,5,6,8,9,10,13],[1,6,7,8,11,13,14],[2,3,7,8,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,8,10,13],[2,4,6,7,9,11,14],[2,4,6,9,10,12,13],[2,5,6,9,12,13,14],[2,6,7,8,10,11,12],[3,4,5,6,8,11,12],[3,4,5,7,9,13,14],[3,4,6,10,11,13,14],[3,5,6,7,9,10,11],[3,5,8,9,11,12,13],[4,5,7,8,10,12,14]]; G[8678]:=Group([(1,8)(4,14)(5,10)(6,9)(7,11)]); # Design 8679: autom. group order 2, simple, residual B[8679]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,5,10,11,13,14],[1,3,6,10,11,12,13],[1,3,7,8,9,10,12],[1,4,5,8,9,11,13],[1,4,6,7,9,13,14],[1,4,7,8,12,13,14],[1,5,6,9,10,12,14],[1,6,7,8,10,11,14],[2,3,7,8,9,11,14],[2,3,7,10,12,13,14],[2,4,5,9,10,12,14],[2,4,6,7,9,10,13],[2,4,6,8,11,12,14],[2,5,6,7,8,12,13],[2,6,8,9,10,11,13],[3,4,5,6,7,10,11],[3,4,5,8,10,13,14],[3,4,6,9,11,12,14],[3,5,6,8,9,12,13],[3,5,7,9,11,13,14],[4,5,7,8,10,11,12]]; G[8679]:=Group([(1,10)(3,9)(5,13)(11,14)]); # Design 8680: autom. group order 2, simple, residual B[8680]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,5,10,11,13,14],[1,3,6,10,12,13,14],[1,3,7,8,9,10,12],[1,4,5,8,9,13,14],[1,4,6,7,9,13,14],[1,4,7,8,11,12,13],[1,5,6,9,10,11,12],[1,6,7,8,10,11,14],[2,3,7,8,9,11,14],[2,3,7,10,12,13,14],[2,4,5,9,10,12,14],[2,4,6,7,9,10,13],[2,4,6,8,11,12,14],[2,5,6,7,8,12,13],[2,6,8,9,10,11,13],[3,4,5,6,7,10,11],[3,4,5,8,10,11,13],[3,4,6,9,11,12,14],[3,5,6,8,9,12,13],[3,5,7,9,11,13,14],[4,5,7,8,10,12,14]]; G[8680]:=Group([(1,10)(3,9)(5,13)(11,14)]); # Design 8681: autom. group order 2, simple B[8681]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,8,11,14],[1,2,5,6,10,12,13],[1,3,6,7,9,11,12],[1,3,7,8,10,11,13],[1,4,5,7,10,13,14],[1,4,6,9,10,12,14],[1,4,6,9,11,13,14],[1,5,7,8,10,11,12],[1,7,8,9,12,13,14],[2,3,6,7,10,12,14],[2,3,7,9,10,13,14],[2,4,5,7,9,11,13],[2,4,6,7,8,12,13],[2,4,8,10,11,12,14],[2,5,7,9,11,12,14],[2,6,8,9,10,11,13],[3,4,5,8,12,13,14],[3,4,5,9,10,11,12],[3,4,6,7,8,11,14],[3,5,6,8,9,12,13],[3,5,6,10,11,13,14],[4,5,6,7,8,9,10]]; G[8681]:=Group([(3,5)(4,6)(9,14)(10,11)(12,13)]); # Design 8682: autom. group order 2, simple B[8682]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,8,11,14],[1,2,5,6,10,12,13],[1,3,6,7,9,11,12],[1,3,7,8,10,11,13],[1,4,5,7,10,13,14],[1,4,6,9,10,12,14],[1,4,6,9,11,13,14],[1,5,7,8,10,11,12],[1,7,8,9,12,13,14],[2,3,6,7,10,13,14],[2,3,7,9,10,12,14],[2,4,5,7,9,11,12],[2,4,6,7,8,12,13],[2,4,8,10,11,12,14],[2,5,7,9,11,13,14],[2,6,8,9,10,11,13],[3,4,5,8,12,13,14],[3,4,5,9,10,11,13],[3,4,6,7,8,11,14],[3,5,6,8,9,12,13],[3,5,6,10,11,12,14],[4,5,6,7,8,9,10]]; G[8682]:=Group([(3,5)(4,6)(9,14)(10,11)(12,13)]); # Design 8683: autom. group order 2, simple B[8683]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,8,11,14],[1,2,5,6,10,12,13],[1,3,6,7,10,12,14],[1,3,7,8,10,11,12],[1,4,5,7,9,11,13],[1,4,6,9,10,13,14],[1,4,6,9,11,12,14],[1,5,7,8,10,11,13],[1,7,8,9,12,13,14],[2,3,6,7,9,11,13],[2,3,7,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,7,8,12,13],[2,4,8,10,11,13,14],[2,5,7,9,11,12,14],[2,6,8,9,10,11,12],[3,4,5,8,12,13,14],[3,4,5,9,10,11,12],[3,4,6,7,8,11,14],[3,5,6,8,9,12,13],[3,5,6,10,11,13,14],[4,5,6,7,8,9,10]]; G[8683]:=Group([(3,5)(4,6)(9,14)(10,11)(12,13)]); # Design 8684: autom. group order 2, simple B[8684]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,8,11,14],[1,2,5,6,10,12,13],[1,3,6,7,10,12,14],[1,3,7,8,10,11,12],[1,4,5,7,9,11,13],[1,4,6,9,10,13,14],[1,4,6,9,11,12,14],[1,5,7,8,10,11,13],[1,7,8,9,12,13,14],[2,3,6,7,11,13,14],[2,3,7,9,10,13,14],[2,4,5,7,9,10,12],[2,4,6,7,8,12,13],[2,4,8,10,11,12,14],[2,5,7,9,11,12,14],[2,6,8,9,10,11,13],[3,4,5,8,12,13,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,11],[3,5,6,8,9,12,13],[3,5,6,9,10,11,12],[4,5,6,7,8,10,14]]; G[8684]:=Group([(3,5)(4,6)(9,14)(10,11)(12,13)]); # Design 8685: autom. group order 2, simple B[8685]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,8,11,14],[1,2,5,6,10,12,13],[1,3,6,7,10,12,14],[1,3,7,8,10,11,12],[1,4,5,7,9,11,13],[1,4,6,9,10,13,14],[1,4,6,9,11,12,14],[1,5,7,8,10,11,13],[1,7,8,9,12,13,14],[2,3,6,7,11,13,14],[2,3,7,9,10,13,14],[2,4,5,7,9,10,12],[2,4,6,7,8,12,13],[2,4,8,10,11,13,14],[2,5,7,9,11,12,14],[2,6,8,9,10,11,12],[3,4,5,8,12,13,14],[3,4,5,10,11,12,14],[3,4,6,7,8,9,11],[3,5,6,8,9,12,13],[3,5,6,9,10,11,13],[4,5,6,7,8,10,14]]; G[8685]:=Group([(3,5)(4,6)(9,14)(10,11)(12,13)]); # Design 8686: autom. group order 2, simple B[8686]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,8,11,14],[1,2,5,6,10,12,13],[1,3,6,7,11,12,14],[1,3,7,8,10,11,13],[1,4,5,7,9,10,13],[1,4,6,9,10,12,14],[1,4,6,9,11,13,14],[1,5,7,8,10,11,12],[1,7,8,9,12,13,14],[2,3,6,7,10,13,14],[2,3,7,9,10,12,14],[2,4,5,7,9,11,12],[2,4,6,7,8,12,13],[2,4,8,10,11,12,14],[2,5,7,9,11,13,14],[2,6,8,9,10,11,13],[3,4,5,8,12,13,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,11],[3,5,6,8,9,12,13],[3,5,6,9,10,11,12],[4,5,6,7,8,10,14]]; G[8686]:=Group([(3,5)(4,6)(9,14)(10,11)(12,13)]); # Design 8687: autom. group order 2, simple B[8687]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,8,11,14],[1,2,5,6,10,12,13],[1,3,6,7,11,12,14],[1,3,7,8,10,11,13],[1,4,5,7,9,10,13],[1,4,6,9,10,12,14],[1,4,6,9,11,13,14],[1,5,7,8,10,11,12],[1,7,8,9,12,13,14],[2,3,6,7,10,13,14],[2,3,7,9,10,12,14],[2,4,5,7,9,11,12],[2,4,6,7,8,12,13],[2,4,8,10,11,13,14],[2,5,7,9,11,13,14],[2,6,8,9,10,11,12],[3,4,5,8,12,13,14],[3,4,5,10,11,12,14],[3,4,6,7,8,9,11],[3,5,6,8,9,12,13],[3,5,6,9,10,11,13],[4,5,6,7,8,10,14]]; G[8687]:=Group([(3,5)(4,6)(9,14)(10,11)(12,13)]); # Design 8688: autom. group order 2, simple B[8688]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,6,10,13,14],[1,3,6,7,9,10,12],[1,3,7,8,10,13,14],[1,4,5,7,9,11,14],[1,4,6,7,10,11,14],[1,4,7,8,9,12,13],[1,5,8,10,11,12,13],[1,6,9,11,12,13,14],[2,3,6,7,9,11,13],[2,3,9,10,11,12,14],[2,4,5,7,10,12,13],[2,4,6,8,9,13,14],[2,4,7,8,11,12,14],[2,5,7,9,10,12,14],[2,6,7,8,10,11,13],[3,4,5,6,12,13,14],[3,4,5,9,10,11,13],[3,4,6,8,10,12,14],[3,5,6,7,8,11,12],[3,5,7,8,9,13,14],[4,5,6,8,9,10,11]]; G[8688]:=Group([(2,12)(3,13)(4,11)(5,9)(7,14)]); # Design 8689: autom. group order 2, simple, residual B[8689]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,10],[1,2,5,6,12,13,14],[1,3,6,7,9,11,12],[1,3,7,9,10,13,14],[1,4,5,7,9,11,12],[1,4,6,10,11,13,14],[1,4,7,8,10,11,14],[1,5,8,9,12,13,14],[1,6,7,8,10,12,13],[2,3,6,7,10,12,14],[2,3,8,10,11,12,13],[2,4,5,7,10,12,14],[2,4,6,9,11,13,14],[2,4,7,8,9,12,13],[2,5,7,9,10,11,13],[2,6,7,8,9,11,14],[3,4,5,6,9,10,13],[3,4,5,7,8,13,14],[3,4,6,8,9,12,14],[3,5,6,7,8,11,13],[3,5,9,10,11,12,14],[4,5,6,8,10,11,12]]; G[8689]:=Group([(1,2)(3,5)(4,6)(9,10)(11,14)]); # Design 8690: autom. group order 2, simple, residual B[8690]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,10],[1,2,5,6,12,13,14],[1,3,6,7,9,11,12],[1,3,7,9,10,13,14],[1,4,5,7,9,11,12],[1,4,6,10,11,13,14],[1,4,7,8,10,12,13],[1,5,8,9,12,13,14],[1,6,7,8,10,11,14],[2,3,6,7,10,12,14],[2,3,8,10,11,12,13],[2,4,5,7,10,12,14],[2,4,6,9,11,13,14],[2,4,7,8,9,11,14],[2,5,7,9,10,11,13],[2,6,7,8,9,12,13],[3,4,5,6,9,10,13],[3,4,5,7,8,13,14],[3,4,6,8,9,12,14],[3,5,6,7,8,11,13],[3,5,9,10,11,12,14],[4,5,6,8,10,11,12]]; G[8690]:=Group([(1,2)(3,5)(4,6)(9,10)(11,14)]); # Design 8691: autom. group order 2, simple, residual B[8691]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,10],[1,2,5,6,12,13,14],[1,3,6,7,9,11,12],[1,3,7,9,10,13,14],[1,4,5,7,9,12,14],[1,4,6,10,11,13,14],[1,4,7,8,10,11,14],[1,5,8,9,11,12,13],[1,6,7,8,10,12,13],[2,3,6,7,10,11,12],[2,3,8,10,12,13,14],[2,4,5,7,10,12,14],[2,4,6,9,11,13,14],[2,4,7,8,9,12,13],[2,5,7,9,10,11,13],[2,6,7,8,9,11,14],[3,4,5,6,9,10,13],[3,4,5,7,8,11,13],[3,4,6,8,9,12,14],[3,5,6,7,8,13,14],[3,5,9,10,11,12,14],[4,5,6,8,10,11,12]]; G[8691]:=Group([(1,2)(3,5)(4,6)(9,10)(11,14)]); # Design 8692: autom. group order 2, simple, residual B[8692]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,10],[1,2,5,6,12,13,14],[1,3,6,7,9,11,12],[1,3,7,9,10,13,14],[1,4,5,7,9,12,14],[1,4,6,10,11,13,14],[1,4,7,8,10,12,13],[1,5,8,9,11,12,13],[1,6,7,8,10,11,14],[2,3,6,7,10,11,12],[2,3,8,10,12,13,14],[2,4,5,7,10,12,14],[2,4,6,9,11,13,14],[2,4,7,8,9,11,14],[2,5,7,9,10,11,13],[2,6,7,8,9,12,13],[3,4,5,6,9,10,13],[3,4,5,7,8,11,13],[3,4,6,8,9,12,14],[3,5,6,7,8,13,14],[3,5,9,10,11,12,14],[4,5,6,8,10,11,12]]; G[8692]:=Group([(1,2)(3,5)(4,6)(9,10)(11,14)]); # Design 8693: autom. group order 2, simple, residual B[8693]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,10],[1,2,5,6,12,13,14],[1,3,6,7,9,11,12],[1,3,7,9,10,13,14],[1,4,5,7,10,11,12],[1,4,6,10,11,13,14],[1,4,7,8,9,11,14],[1,5,8,9,12,13,14],[1,6,7,8,10,12,13],[2,3,6,7,9,12,14],[2,3,8,10,11,12,13],[2,4,5,7,10,12,14],[2,4,6,9,11,13,14],[2,4,7,8,9,12,13],[2,5,7,9,10,11,13],[2,6,7,8,10,11,14],[3,4,5,6,9,10,13],[3,4,5,7,8,13,14],[3,4,6,8,10,12,14],[3,5,6,7,8,11,13],[3,5,9,10,11,12,14],[4,5,6,8,9,11,12]]; G[8693]:=Group([(1,2)(3,5)(4,6)(9,10)(11,14)]); # Design 8694: autom. group order 2, simple, residual B[8694]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,10],[1,2,5,6,12,13,14],[1,3,6,7,9,11,12],[1,3,7,9,10,13,14],[1,4,5,7,10,11,12],[1,4,6,10,11,13,14],[1,4,7,8,9,12,13],[1,5,8,9,12,13,14],[1,6,7,8,10,11,14],[2,3,6,7,9,12,14],[2,3,8,10,11,12,13],[2,4,5,7,10,12,14],[2,4,6,9,11,13,14],[2,4,7,8,9,11,14],[2,5,7,9,10,11,13],[2,6,7,8,10,12,13],[3,4,5,6,9,10,13],[3,4,5,7,8,13,14],[3,4,6,8,10,12,14],[3,5,6,7,8,11,13],[3,5,9,10,11,12,14],[4,5,6,8,9,11,12]]; G[8694]:=Group([(1,2)(3,5)(4,6)(9,10)(11,14)]); # Design 8695: autom. group order 2, simple B[8695]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,10],[1,2,5,6,12,13,14],[1,3,6,7,9,11,12],[1,3,7,8,9,12,14],[1,4,5,9,12,13,14],[1,4,6,7,10,11,14],[1,4,7,8,10,12,13],[1,5,7,9,10,11,13],[1,6,8,10,11,13,14],[2,3,6,10,11,12,13],[2,3,7,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,7,9,11,14],[2,4,8,9,11,13,14],[2,5,7,8,10,11,12],[2,6,7,8,9,12,13],[3,4,5,6,9,10,13],[3,4,5,7,8,11,13],[3,4,6,8,10,12,14],[3,5,6,7,8,13,14],[3,5,9,10,11,12,14],[4,5,6,8,9,11,12]]; G[8695]:=Group([(1,2)(3,5)(4,6)(9,10)(11,14)]); # Design 8696: autom. group order 2, simple B[8696]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,10],[1,2,5,6,12,13,14],[1,3,6,7,9,12,14],[1,3,7,8,9,11,12],[1,4,5,9,12,13,14],[1,4,6,7,10,11,14],[1,4,7,8,10,12,13],[1,5,7,9,10,11,13],[1,6,8,10,11,13,14],[2,3,6,10,11,12,13],[2,3,7,9,10,13,14],[2,4,5,7,10,11,12],[2,4,6,7,9,11,14],[2,4,8,9,11,13,14],[2,5,7,8,10,12,14],[2,6,7,8,9,12,13],[3,4,5,6,9,10,13],[3,4,5,7,8,13,14],[3,4,6,8,10,12,14],[3,5,6,7,8,11,13],[3,5,9,10,11,12,14],[4,5,6,8,9,11,12]]; G[8696]:=Group([(1,2)(3,5)(4,6)(9,10)(11,14)]); # Design 8697: autom. group order 2, simple B[8697]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,10],[1,2,5,6,12,13,14],[1,3,6,7,9,12,14],[1,3,7,8,10,11,12],[1,4,5,10,12,13,14],[1,4,6,7,9,11,14],[1,4,7,8,9,12,13],[1,5,7,9,10,11,13],[1,6,8,10,11,13,14],[2,3,6,9,11,12,13],[2,3,7,9,10,13,14],[2,4,5,7,10,11,12],[2,4,6,7,10,11,14],[2,4,8,9,11,13,14],[2,5,7,8,9,12,14],[2,6,7,8,10,12,13],[3,4,5,6,9,10,13],[3,4,5,7,8,13,14],[3,4,6,8,10,12,14],[3,5,6,7,8,11,13],[3,5,9,10,11,12,14],[4,5,6,8,9,11,12]]; G[8697]:=Group([(1,2)(3,5)(4,6)(9,10)(11,14)]); # Design 8698: autom. group order 2, simple B[8698]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,10],[1,2,5,6,12,13,14],[1,3,6,7,9,11,12],[1,3,7,9,10,13,14],[1,4,5,9,12,13,14],[1,4,6,7,10,11,14],[1,4,8,10,11,13,14],[1,5,7,8,9,11,12],[1,6,7,8,10,12,13],[2,3,6,10,11,12,13],[2,3,7,8,10,12,14],[2,4,5,7,10,12,14],[2,4,6,7,9,11,14],[2,4,7,8,9,12,13],[2,5,7,9,10,11,13],[2,6,8,9,11,13,14],[3,4,5,6,9,10,13],[3,4,5,7,8,11,13],[3,4,6,8,9,12,14],[3,5,6,7,8,13,14],[3,5,9,10,11,12,14],[4,5,6,8,10,11,12]]; G[8698]:=Group([(1,2)(3,5)(4,6)(9,10)(11,14)]); # Design 8699: autom. group order 2, simple B[8699]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,10],[1,2,5,6,12,13,14],[1,3,6,7,9,11,12],[1,3,7,8,9,12,14],[1,4,5,9,12,13,14],[1,4,6,7,10,11,14],[1,4,8,10,11,13,14],[1,5,7,9,10,11,13],[1,6,7,8,10,12,13],[2,3,6,10,11,12,13],[2,3,7,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,7,9,11,14],[2,4,7,8,9,12,13],[2,5,7,8,10,11,12],[2,6,8,9,11,13,14],[3,4,5,6,9,10,13],[3,4,5,7,8,11,13],[3,4,6,8,10,12,14],[3,5,6,7,8,13,14],[3,5,9,10,11,12,14],[4,5,6,8,9,11,12]]; G[8699]:=Group([(1,2)(3,5)(4,6)(9,10)(11,14)]); # Design 8700: autom. group order 2, simple B[8700]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,10],[1,2,5,6,12,13,14],[1,3,6,7,9,12,14],[1,3,7,8,9,11,12],[1,4,5,9,12,13,14],[1,4,6,7,10,11,14],[1,4,8,10,11,13,14],[1,5,7,9,10,11,13],[1,6,7,8,10,12,13],[2,3,6,10,11,12,13],[2,3,7,9,10,13,14],[2,4,5,7,10,11,12],[2,4,6,7,9,11,14],[2,4,7,8,9,12,13],[2,5,7,8,10,12,14],[2,6,8,9,11,13,14],[3,4,5,6,9,10,13],[3,4,5,7,8,13,14],[3,4,6,8,10,12,14],[3,5,6,7,8,11,13],[3,5,9,10,11,12,14],[4,5,6,8,9,11,12]]; G[8700]:=Group([(1,2)(3,5)(4,6)(9,10)(11,14)]); # Design 8701: autom. group order 2, simple, residual B[8701]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,10],[1,2,5,6,12,13,14],[1,3,6,7,9,12,14],[1,3,7,8,10,11,12],[1,4,5,10,12,13,14],[1,4,6,7,9,11,14],[1,4,8,9,11,13,14],[1,5,7,9,10,11,13],[1,6,7,8,10,12,13],[2,3,6,9,11,12,13],[2,3,7,9,10,13,14],[2,4,5,7,10,11,12],[2,4,6,7,10,11,14],[2,4,7,8,9,12,13],[2,5,7,8,9,12,14],[2,6,8,10,11,13,14],[3,4,5,6,9,10,13],[3,4,5,7,8,13,14],[3,4,6,8,10,12,14],[3,5,6,7,8,11,13],[3,5,9,10,11,12,14],[4,5,6,8,9,11,12]]; G[8701]:=Group([(1,2)(3,5)(4,6)(9,10)(11,14)]); # Design 8702: autom. group order 2, simple B[8702]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,7,10,13,14],[1,3,6,7,9,12,13],[1,3,6,8,10,12,14],[1,4,5,6,8,9,11],[1,4,6,10,11,12,13],[1,4,7,9,10,11,14],[1,5,7,8,10,12,13],[1,7,8,9,11,13,14],[2,3,6,7,11,13,14],[2,3,7,8,9,10,12],[2,4,5,7,10,11,12],[2,4,6,7,8,9,13],[2,4,6,8,10,13,14],[2,5,8,9,11,12,13],[2,6,9,10,11,12,14],[3,4,5,9,10,13,14],[3,4,5,9,12,13,14],[3,4,7,8,11,12,14],[3,5,6,7,9,10,11],[3,5,6,8,10,11,13],[4,5,6,7,8,12,14]]; G[8702]:=Group([(1,2)(3,5)(4,14)(6,11)(7,8)(9,13)]); # Design 8703: autom. group order 2, simple, residual B[8703]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,10,11,12],[1,2,5,7,8,11,13],[1,3,6,7,11,13,14],[1,3,6,8,10,12,14],[1,4,5,6,9,13,14],[1,4,6,7,9,10,12],[1,4,7,8,12,13,14],[1,5,9,10,11,12,13],[1,7,8,9,10,11,14],[2,3,6,9,11,12,14],[2,3,7,10,12,13,14],[2,4,5,7,9,12,14],[2,4,6,7,8,10,11],[2,4,9,10,11,13,14],[2,5,6,8,10,13,14],[2,6,7,8,9,12,13],[3,4,5,7,10,11,14],[3,4,5,8,10,12,13],[3,4,6,8,9,11,13],[3,5,6,7,9,10,13],[3,5,7,8,9,11,12],[4,5,6,8,11,12,14]]; G[8703]:=Group([(2,10)(3,12)(4,6)(5,9)(8,11)(13,14)]); # Design 8704: autom. group order 2, simple, residual B[8704]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,5,7,9,12,14],[1,3,6,7,10,13,14],[1,3,6,8,9,11,14],[1,4,5,6,8,12,13],[1,4,6,7,10,11,14],[1,4,9,10,12,13,14],[1,5,7,8,10,11,13],[1,7,8,9,11,12,13],[2,3,6,10,11,12,13],[2,3,7,8,9,10,13],[2,4,5,10,11,13,14],[2,4,6,8,9,13,14],[2,4,7,8,11,12,14],[2,5,6,7,9,11,13],[2,6,7,8,10,12,14],[3,4,5,7,8,10,12],[3,4,5,7,9,13,14],[3,4,6,7,9,11,12],[3,5,6,8,12,13,14],[3,5,9,10,11,12,14],[4,5,6,8,9,10,11]]; G[8704]:=Group([(2,12)(3,13)(5,9)(6,10)(7,14)]); # Design 8705: autom. group order 2, simple, residual B[8705]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,5,7,9,12,14],[1,3,6,7,10,13,14],[1,3,6,8,9,11,14],[1,4,5,6,8,12,13],[1,4,6,7,10,11,14],[1,4,9,10,12,13,14],[1,5,7,8,10,11,13],[1,7,8,9,11,12,13],[2,3,6,10,11,12,13],[2,3,7,8,12,13,14],[2,4,5,10,11,13,14],[2,4,6,8,9,13,14],[2,4,7,8,9,10,11],[2,5,6,7,9,11,13],[2,6,7,8,10,12,14],[3,4,5,7,8,10,12],[3,4,5,7,9,13,14],[3,4,6,7,9,11,12],[3,5,6,8,9,10,13],[3,5,9,10,11,12,14],[4,5,6,8,11,12,14]]; G[8705]:=Group([(2,12)(3,13)(5,9)(6,10)(7,14)]); # Design 8706: autom. group order 2, simple, residual B[8706]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,7,10,11],[1,2,5,8,11,12,13],[1,3,6,7,9,11,14],[1,3,6,10,12,13,14],[1,4,5,6,8,12,14],[1,4,6,7,9,12,13],[1,4,7,8,9,10,13],[1,5,9,10,11,13,14],[1,7,8,10,11,12,14],[2,3,7,8,12,13,14],[2,3,7,9,10,11,12],[2,4,5,7,10,13,14],[2,4,6,8,10,11,14],[2,4,6,9,11,12,14],[2,5,6,9,10,12,13],[2,6,7,8,9,13,14],[3,4,5,7,10,12,14],[3,4,5,9,11,13,14],[3,4,6,8,10,11,13],[3,5,6,7,8,11,13],[3,5,6,8,9,10,12],[4,5,7,8,9,11,12]]; G[8706]:=Group([(1,11)(2,13)(6,9)(7,14)]); # Design 8707: autom. group order 2, simple B[8707]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,7,9,10,12],[1,3,6,8,10,12,14],[1,3,6,9,11,13,14],[1,4,5,6,7,8,13],[1,4,6,10,11,12,13],[1,4,7,8,10,11,14],[1,5,7,9,10,11,13],[1,7,8,9,12,13,14],[2,3,7,8,9,11,13],[2,3,7,10,12,13,14],[2,4,5,8,10,13,14],[2,4,6,7,9,11,14],[2,4,6,8,9,12,13],[2,5,6,10,11,13,14],[2,6,7,8,10,11,12],[3,4,5,7,12,13,14],[3,4,5,9,10,11,12],[3,4,6,7,9,10,14],[3,5,6,7,8,11,12],[3,5,6,8,9,10,13],[4,5,8,9,11,12,14]]; G[8707]:=Group([(1,9)(2,10)(6,11)(7,12)(13,14)]); # Design 8708: autom. group order 2, simple, residual B[8708]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,11,12,14],[1,2,5,7,10,11,13],[1,3,6,8,10,11,12],[1,3,6,9,10,13,14],[1,4,5,6,10,13,14],[1,4,6,7,8,12,13],[1,4,7,8,9,11,14],[1,5,7,8,9,12,13],[1,7,9,10,11,12,14],[2,3,7,8,11,13,14],[2,3,7,10,12,13,14],[2,4,5,7,9,10,12],[2,4,6,7,8,10,14],[2,4,6,9,11,12,14],[2,5,6,8,9,11,13],[2,6,8,9,10,12,13],[3,4,5,8,10,11,12],[3,4,5,9,12,13,14],[3,4,6,7,9,11,13],[3,5,6,7,8,12,14],[3,5,6,7,9,10,11],[4,5,8,10,11,13,14]]; G[8708]:=Group([(1,6)(2,7)(4,5)(8,11)(13,14)]); # Design 8709: autom. group order 2, simple, residual B[8709]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,11,12,13],[1,2,5,7,10,11,14],[1,3,6,8,11,12,14],[1,3,6,9,10,13,14],[1,4,5,6,10,13,14],[1,4,6,7,8,10,12],[1,4,7,8,9,11,13],[1,5,7,8,9,12,13],[1,7,9,10,11,12,14],[2,3,7,8,10,11,13],[2,3,7,10,12,13,14],[2,4,5,7,9,12,14],[2,4,6,7,8,13,14],[2,4,6,9,10,11,12],[2,5,6,8,9,10,11],[2,6,8,9,12,13,14],[3,4,5,8,11,12,14],[3,4,5,9,10,12,13],[3,4,6,7,9,11,14],[3,5,6,7,8,10,12],[3,5,6,7,9,11,13],[4,5,8,10,11,13,14]]; G[8709]:=Group([(1,6)(2,7)(4,5)(8,11)(10,13)]); # Design 8710: autom. group order 2, simple, residual B[8710]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,10,11,14],[1,2,5,7,11,12,13],[1,3,6,8,11,12,14],[1,3,6,10,12,13,14],[1,4,5,6,9,10,13],[1,4,6,7,8,10,12],[1,4,7,8,9,11,14],[1,5,7,8,9,12,13],[1,7,9,10,11,13,14],[2,3,7,8,10,11,13],[2,3,7,9,10,12,14],[2,4,5,7,10,12,14],[2,4,6,7,8,13,14],[2,4,6,9,11,13,14],[2,5,6,8,9,11,12],[2,6,8,9,10,12,13],[3,4,5,8,10,11,13],[3,4,5,9,12,13,14],[3,4,6,7,9,11,12],[3,5,6,7,8,13,14],[3,5,6,7,9,10,11],[4,5,8,10,11,12,14]]; G[8710]:=Group([(1,6)(2,7)(4,5)(8,11)(12,14)]); # Design 8711: autom. group order 2, simple, residual B[8711]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,11,12,14],[1,2,5,7,10,11,13],[1,3,6,8,10,11,12],[1,3,6,10,12,13,14],[1,4,5,6,9,13,14],[1,4,6,7,8,10,14],[1,4,7,8,9,11,12],[1,5,7,8,9,12,13],[1,7,9,10,11,13,14],[2,3,7,8,11,13,14],[2,3,7,9,10,12,14],[2,4,5,7,10,12,14],[2,4,6,7,8,12,13],[2,4,6,9,10,11,13],[2,5,6,8,9,10,11],[2,6,8,9,12,13,14],[3,4,5,8,11,13,14],[3,4,5,9,10,12,13],[3,4,6,7,9,11,14],[3,5,6,7,8,10,13],[3,5,6,7,9,11,12],[4,5,8,10,11,12,14]]; G[8711]:=Group([(1,6)(2,7)(4,5)(8,11)(10,12)]); # Design 8712: autom. group order 2, simple, residual B[8712]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,5,7,10,12,14],[1,3,6,8,9,12,14],[1,3,6,9,10,13,14],[1,4,5,6,10,11,13],[1,4,6,7,8,13,14],[1,4,7,8,11,12,14],[1,5,7,8,9,10,11],[1,7,9,10,11,12,13],[2,3,7,8,10,12,13],[2,3,7,9,11,13,14],[2,4,5,7,9,13,14],[2,4,6,7,8,9,10],[2,4,6,10,11,12,14],[2,5,6,8,9,11,12],[2,6,8,10,11,13,14],[3,4,5,8,10,12,13],[3,4,5,9,10,11,14],[3,4,6,7,9,11,12],[3,5,6,7,8,11,13],[3,5,6,7,10,12,14],[4,5,8,9,12,13,14]]; G[8712]:=Group([(1,6)(2,7)(4,5)(8,12)(9,14)]); # Design 8713: autom. group order 2, simple, residual B[8713]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,5,7,12,13,14],[1,3,6,8,9,12,13],[1,3,6,10,11,13,14],[1,4,5,6,10,13,14],[1,4,6,7,8,9,14],[1,4,7,8,11,12,14],[1,5,7,8,9,10,11],[1,7,9,10,11,12,13],[2,3,7,8,10,12,14],[2,3,7,9,10,13,14],[2,4,5,7,9,11,13],[2,4,6,7,8,10,13],[2,4,6,9,11,12,14],[2,5,6,8,10,11,12],[2,6,8,9,11,13,14],[3,4,5,8,9,12,13],[3,4,5,9,10,11,14],[3,4,6,7,10,11,12],[3,5,6,7,8,11,13],[3,5,6,7,9,12,14],[4,5,8,10,12,13,14]]; G[8713]:=Group([(1,6)(2,7)(4,5)(8,12)(10,14)]); # Design 8714: autom. group order 2, simple, residual B[8714]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,5,7,10,12,14],[1,3,6,8,9,12,14],[1,3,6,10,11,13,14],[1,4,5,6,10,13,14],[1,4,6,7,8,9,10],[1,4,7,8,11,12,13],[1,5,7,8,9,11,13],[1,7,9,10,11,12,14],[2,3,7,8,10,12,13],[2,3,7,9,10,13,14],[2,4,5,7,9,11,14],[2,4,6,7,8,13,14],[2,4,6,9,10,11,12],[2,5,6,8,10,11,12],[2,6,8,9,11,13,14],[3,4,5,8,9,12,14],[3,4,5,9,10,11,13],[3,4,6,7,11,12,14],[3,5,6,7,8,10,11],[3,5,6,7,9,12,13],[4,5,8,10,12,13,14]]; G[8714]:=Group([(1,6)(2,7)(4,5)(8,12)(10,13)]); # Design 8715: autom. group order 2, simple, residual B[8715]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,12,13,14],[1,2,5,7,9,10,12],[1,3,6,8,9,12,13],[1,3,6,9,10,13,14],[1,4,5,6,10,11,14],[1,4,6,7,8,9,14],[1,4,7,8,11,12,13],[1,5,7,8,10,11,13],[1,7,9,10,11,12,14],[2,3,7,8,10,12,14],[2,3,7,9,11,13,14],[2,4,5,7,9,13,14],[2,4,6,7,8,10,13],[2,4,6,9,10,11,12],[2,5,6,8,9,11,12],[2,6,8,10,11,13,14],[3,4,5,8,10,12,14],[3,4,5,9,10,11,13],[3,4,6,7,11,12,14],[3,5,6,7,8,9,11],[3,5,6,7,10,12,13],[4,5,8,9,12,13,14]]; G[8715]:=Group([(1,6)(2,7)(4,5)(8,12)(9,13)]); # Design 8716: autom. group order 2, simple B[8716]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,13,14],[1,3,6,9,10,11,13],[1,3,6,9,12,13,14],[1,4,5,6,10,12,14],[1,4,6,7,8,13,14],[1,4,7,8,9,11,14],[1,5,7,9,10,11,12],[1,7,8,10,11,12,13],[2,3,7,8,10,12,14],[2,3,7,9,12,13,14],[2,4,5,7,9,11,13],[2,4,6,7,9,10,12],[2,4,6,10,11,13,14],[2,5,6,8,11,12,13],[2,6,8,9,10,11,14],[3,4,5,8,9,10,13],[3,4,5,10,11,12,14],[3,4,6,7,8,11,12],[3,5,6,7,8,10,13],[3,5,6,7,9,11,14],[4,5,8,9,12,13,14]]; G[8716]:=Group([(1,6)(2,7)(4,5)(9,13)(12,14)]); # Design 8717: autom. group order 2, simple, residual B[8717]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,10,11,14],[1,2,5,8,11,12,13],[1,3,6,7,9,11,14],[1,3,6,10,12,13,14],[1,4,5,6,7,8,12],[1,4,6,9,12,13,14],[1,4,7,8,9,10,13],[1,5,7,9,10,11,13],[1,7,8,10,11,12,14],[2,3,7,8,12,13,14],[2,3,7,9,10,11,12],[2,4,5,7,10,13,14],[2,4,6,7,9,11,12],[2,4,6,8,10,11,14],[2,5,6,9,10,12,13],[2,6,7,8,9,13,14],[3,4,5,7,10,12,14],[3,4,5,9,11,13,14],[3,4,6,8,10,11,13],[3,5,6,7,8,11,13],[3,5,6,8,9,10,12],[4,5,8,9,11,12,14]]; G[8717]:=Group([(1,11)(2,13)(6,9)(7,14)]); # Design 8718: autom. group order 2, simple, residual B[8718]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,7,10,11],[1,2,5,8,11,12,14],[1,3,6,7,9,13,14],[1,3,6,10,12,13,14],[1,4,5,6,9,11,13],[1,4,7,8,10,13,14],[1,4,7,9,11,12,14],[1,5,6,8,10,12,13],[1,7,8,9,10,11,12],[2,3,6,10,11,12,14],[2,3,7,9,10,11,13],[2,4,5,7,12,13,14],[2,4,6,7,8,10,14],[2,4,6,8,9,12,13],[2,5,7,9,10,12,13],[2,6,8,9,11,13,14],[3,4,5,8,10,11,13],[3,4,5,9,10,12,14],[3,4,6,7,8,11,12],[3,5,6,7,8,9,12],[3,5,7,8,11,13,14],[4,5,6,9,10,11,14]]; G[8718]:=Group([(1,13)(3,12)(5,9)(7,8)(10,14)]); # Design 8719: autom. group order 2, simple, residual B[8719]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,10,12,13,14],[1,3,6,7,8,13,14],[1,3,6,10,11,12,13],[1,4,5,6,9,11,14],[1,4,7,8,11,12,14],[1,4,7,9,10,13,14],[1,5,7,8,9,10,12],[1,6,8,9,10,11,13],[2,3,6,7,9,10,11],[2,3,7,8,9,13,14],[2,4,5,6,8,10,13],[2,4,6,8,10,12,14],[2,4,7,9,11,12,13],[2,5,7,10,11,13,14],[2,6,8,9,11,12,14],[3,4,5,8,9,12,13],[3,4,5,9,10,11,14],[3,4,6,7,10,12,14],[3,5,6,9,12,13,14],[3,5,7,8,10,11,12],[4,5,6,7,8,11,13]]; G[8719]:=Group([(2,10)(3,9)(4,8)(5,13)(7,11)]); # Design 8720: autom. group order 2, simple B[8720]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,13,14],[1,3,6,7,8,12,14],[1,3,6,8,9,10,13],[1,4,5,6,10,11,14],[1,4,7,8,9,11,14],[1,4,7,10,12,13,14],[1,5,7,9,11,12,13],[1,6,8,10,11,12,13],[2,3,6,7,10,11,13],[2,3,7,10,11,12,14],[2,4,5,6,8,12,13],[2,4,6,9,11,13,14],[2,4,7,8,9,10,12],[2,5,7,8,10,13,14],[2,6,8,9,11,12,14],[3,4,5,8,12,13,14],[3,4,5,9,10,11,12],[3,4,6,7,9,13,14],[3,5,6,9,10,12,14],[3,5,7,8,9,11,13],[4,5,6,7,8,10,11]]; G[8720]:=Group([(2,13)(3,12)(4,11)(5,10)(7,8)]); # Design 8721: autom. group order 2, simple, residual B[8721]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,10,12,13,14],[1,3,6,7,8,12,13],[1,3,6,10,11,13,14],[1,4,5,6,9,11,14],[1,4,7,8,11,12,14],[1,4,7,9,10,12,13],[1,5,7,8,9,10,14],[1,6,8,9,10,11,13],[2,3,6,7,9,10,11],[2,3,7,8,9,13,14],[2,4,5,6,8,10,13],[2,4,6,8,10,12,14],[2,4,7,9,11,13,14],[2,5,8,9,11,12,13],[2,6,7,10,11,12,14],[3,4,5,7,10,13,14],[3,4,5,9,10,11,12],[3,4,6,8,9,12,14],[3,5,6,9,12,13,14],[3,5,7,8,10,11,12],[4,5,6,7,8,11,13]]; G[8721]:=Group([(2,10)(3,9)(4,8)(5,13)(7,11)(12,14)]); # Design 8722: autom. group order 2, simple, residual B[8722]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,14],[1,2,5,10,12,13,14],[1,3,6,7,8,12,13],[1,3,6,10,11,12,14],[1,4,5,6,9,11,13],[1,4,7,8,11,13,14],[1,4,7,9,10,12,14],[1,5,7,8,9,10,13],[1,6,8,9,10,11,12],[2,3,6,9,10,13,14],[2,3,7,9,10,11,13],[2,4,5,6,8,10,12],[2,4,6,7,9,11,12],[2,4,7,8,10,11,14],[2,5,8,9,11,12,13],[2,6,7,8,12,13,14],[3,4,5,7,10,12,13],[3,4,5,8,9,12,14],[3,4,6,8,9,13,14],[3,5,6,7,8,10,11],[3,5,7,9,11,12,14],[4,5,6,10,11,13,14]]; G[8722]:=Group([(2,10)(3,9)(4,8)(5,12)(7,11)]); # Design 8723: autom. group order 2, simple, residual B[8723]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,10,12,13,14],[1,3,6,7,8,13,14],[1,3,6,10,11,12,13],[1,4,5,6,9,11,14],[1,4,7,8,11,12,14],[1,4,7,9,10,13,14],[1,5,7,8,9,10,12],[1,6,8,9,10,11,13],[2,3,6,9,10,12,14],[2,3,7,9,10,11,14],[2,4,5,6,8,10,13],[2,4,6,7,8,10,11],[2,4,7,9,11,12,13],[2,5,8,9,11,13,14],[2,6,7,8,12,13,14],[3,4,5,7,10,13,14],[3,4,5,8,9,12,13],[3,4,6,8,9,12,14],[3,5,6,7,9,11,13],[3,5,7,8,10,11,12],[4,5,6,10,11,12,14]]; G[8723]:=Group([(2,10)(3,9)(4,8)(5,13)(7,11)]); # Design 8724: autom. group order 2, simple, residual B[8724]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,10,12,13,14],[1,3,6,7,8,12,13],[1,3,6,10,11,13,14],[1,4,5,6,9,11,14],[1,4,7,8,11,12,14],[1,4,7,9,10,12,13],[1,5,7,8,9,10,14],[1,6,8,9,10,11,13],[2,3,6,9,10,12,14],[2,3,7,8,9,13,14],[2,4,5,6,8,10,13],[2,4,6,7,8,10,11],[2,4,7,9,11,13,14],[2,5,8,9,11,12,13],[2,6,7,10,11,12,14],[3,4,5,7,10,13,14],[3,4,5,9,10,11,12],[3,4,6,8,9,12,14],[3,5,6,7,9,11,13],[3,5,7,8,10,11,12],[4,5,6,8,12,13,14]]; G[8724]:=Group([(2,10)(3,9)(4,8)(5,13)(7,11)(12,14)]); # Design 8725: autom. group order 2, simple, residual B[8725]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,7,9,10,12],[1,3,6,7,8,10,13],[1,3,6,7,9,11,14],[1,4,5,6,10,13,14],[1,4,7,8,10,11,14],[1,4,8,9,12,13,14],[1,5,7,8,11,12,13],[1,6,9,10,11,12,13],[2,3,6,8,12,13,14],[2,3,7,10,12,13,14],[2,4,5,6,10,11,13],[2,4,6,7,8,9,13],[2,4,7,10,11,12,14],[2,5,7,8,9,11,13],[2,6,8,9,10,11,14],[3,4,5,8,9,10,12],[3,4,5,9,11,13,14],[3,4,6,7,9,11,12],[3,5,6,8,10,11,12],[3,5,7,9,10,13,14],[4,5,6,7,8,12,14]]; G[8725]:=Group([(2,12)(3,13)(4,11)(5,9)(7,10)]); # Design 8726: autom. group order 2, simple, residual B[8726]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,5,7,9,12,14],[1,3,6,7,8,13,14],[1,3,6,9,10,11,14],[1,4,5,6,7,10,13],[1,4,7,8,9,12,13],[1,4,7,8,10,11,14],[1,5,8,10,11,12,13],[1,6,9,11,12,13,14],[2,3,6,8,10,12,13],[2,3,7,10,12,13,14],[2,4,5,6,11,13,14],[2,4,6,8,9,13,14],[2,4,7,10,11,12,14],[2,5,7,8,9,11,13],[2,6,7,8,9,10,11],[3,4,5,8,9,12,14],[3,4,5,9,10,11,13],[3,4,6,7,9,11,12],[3,5,6,7,8,11,12],[3,5,7,9,10,13,14],[4,5,6,8,10,12,14]]; G[8726]:=Group([(2,12)(3,13)(4,11)(5,9)(7,14)]); # Design 8727: autom. group order 2, simple, residual B[8727]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,11,12,14],[1,2,5,7,10,13,14],[1,3,6,7,10,11,14],[1,3,6,8,11,12,13],[1,4,5,6,8,10,13],[1,4,7,8,9,11,14],[1,4,9,10,11,12,14],[1,5,7,9,10,12,13],[1,6,7,8,9,12,13],[2,3,6,7,9,10,12],[2,3,8,10,12,13,14],[2,4,5,6,9,11,13],[2,4,6,7,8,12,14],[2,4,7,8,10,11,13],[2,5,7,8,9,11,12],[2,6,9,10,11,13,14],[3,4,5,7,10,11,12],[3,4,5,9,12,13,14],[3,4,6,7,9,13,14],[3,5,6,8,9,10,11],[3,5,7,8,11,13,14],[4,5,6,8,10,12,14]]; G[8727]:=Group([(1,13)(3,11)(5,10)(6,8)]); # Design 8728: autom. group order 2, simple, residual B[8728]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,10,11,12],[1,2,5,7,10,11,14],[1,3,6,7,8,10,13],[1,3,6,9,11,12,13],[1,4,5,6,9,13,14],[1,4,7,8,11,12,14],[1,4,8,10,12,13,14],[1,5,7,9,10,12,13],[1,6,7,8,9,11,14],[2,3,6,8,10,12,14],[2,3,7,9,12,13,14],[2,4,5,8,9,11,13],[2,4,6,7,9,12,14],[2,4,6,10,11,13,14],[2,5,6,7,8,12,13],[2,7,8,9,10,11,13],[3,4,5,7,8,11,12],[3,4,5,7,10,13,14],[3,4,6,7,9,10,11],[3,5,6,8,11,13,14],[3,5,9,10,11,12,14],[4,5,6,8,9,10,12]]; G[8728]:=Group([(1,11)(3,13)(5,10)(7,14)]); # Design 8729: autom. group order 2, simple, residual B[8729]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,10,11,12],[1,2,5,7,10,11,14],[1,3,6,8,11,12,13],[1,3,6,9,10,13,14],[1,4,5,6,7,8,13],[1,4,7,9,10,12,13],[1,4,7,9,11,12,14],[1,5,8,10,12,13,14],[1,6,7,8,9,11,14],[2,3,6,7,9,10,12],[2,3,7,8,12,13,14],[2,4,5,8,9,11,13],[2,4,6,7,8,12,14],[2,4,6,10,11,13,14],[2,5,6,9,12,13,14],[2,7,8,9,10,11,13],[3,4,5,7,10,13,14],[3,4,5,9,11,12,14],[3,4,6,8,10,11,14],[3,5,6,7,9,11,13],[3,5,7,8,10,11,12],[4,5,6,8,9,10,12]]; G[8729]:=Group([(1,11)(3,13)(5,10)(7,14)]); # Design 8730: autom. group order 2, simple, residual B[8730]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,5,9,10,12,14],[1,3,6,7,9,13,14],[1,3,6,9,10,11,13],[1,4,5,6,7,10,12],[1,4,7,8,9,11,12],[1,4,7,10,11,13,14],[1,5,7,8,9,13,14],[1,6,8,10,11,12,14],[2,3,6,7,9,12,14],[2,3,7,10,11,12,14],[2,4,5,9,11,13,14],[2,4,6,7,8,9,11],[2,4,6,8,10,13,14],[2,5,6,7,10,11,13],[2,7,8,9,10,12,13],[3,4,5,7,8,10,14],[3,4,5,9,10,12,13],[3,4,6,8,12,13,14],[3,5,6,8,9,10,11],[3,5,7,8,11,12,13],[4,5,6,9,11,12,14]]; G[8730]:=Group([(1,13)(2,12)(5,8)(7,14)]); # Design 8731: autom. group order 2, simple, residual B[8731]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,5,9,10,12,14],[1,3,6,7,9,13,14],[1,3,6,9,10,11,13],[1,4,5,6,7,10,12],[1,4,7,10,11,13,14],[1,4,8,9,11,12,14],[1,5,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,6,7,9,12,14],[2,3,7,10,11,12,14],[2,4,5,7,9,11,13],[2,4,6,7,8,9,11],[2,4,6,8,10,13,14],[2,5,6,10,11,13,14],[2,7,8,9,10,12,13],[3,4,5,7,8,10,14],[3,4,5,9,10,12,13],[3,4,6,8,12,13,14],[3,5,6,8,9,10,11],[3,5,7,8,11,12,13],[4,5,6,9,11,12,14]]; G[8731]:=Group([(1,13)(2,12)(5,8)(7,14)]); # Design 8732: autom. group order 2, simple B[8732]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,7,10,13,14],[1,3,6,7,8,12,14],[1,3,6,7,9,10,13],[1,4,5,6,9,10,11],[1,4,7,8,9,11,14],[1,4,7,8,10,12,13],[1,5,8,9,11,12,13],[1,6,10,11,12,13,14],[2,3,6,8,9,12,13],[2,3,9,10,11,13,14],[2,4,5,7,9,12,13],[2,4,6,7,11,13,14],[2,4,6,8,10,12,14],[2,5,7,8,10,11,12],[2,6,7,8,9,10,11],[3,4,5,6,10,11,12],[3,4,5,8,10,13,14],[3,4,7,9,11,12,14],[3,5,6,7,8,11,13],[3,5,7,9,10,12,14],[4,5,6,8,9,13,14]]; G[8732]:=Group([(2,13)(3,12)(4,11)(5,10)(7,14)]); # Design 8733: autom. group order 2, simple B[8733]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,5,7,9,12,14],[1,3,6,7,8,13,14],[1,3,6,9,10,11,14],[1,4,5,6,7,10,13],[1,4,7,8,9,12,13],[1,4,7,8,10,11,14],[1,5,8,10,11,12,13],[1,6,9,11,12,13,14],[2,3,6,8,10,12,13],[2,3,7,10,12,13,14],[2,4,5,10,11,13,14],[2,4,6,7,11,12,14],[2,4,6,8,9,13,14],[2,5,7,8,9,11,13],[2,6,7,8,9,10,11],[3,4,5,6,9,11,13],[3,4,5,8,9,12,14],[3,4,7,9,10,11,12],[3,5,6,7,8,11,12],[3,5,7,9,10,13,14],[4,5,6,8,10,12,14]]; G[8733]:=Group([(2,12)(3,13)(4,11)(5,9)(7,14)]); # Design 8734: autom. group order 2, simple, residual B[8734]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,10,12,13,14],[1,3,6,7,8,13,14],[1,3,6,10,11,12,13],[1,4,5,6,9,11,14],[1,4,7,8,11,12,14],[1,4,7,9,10,13,14],[1,5,7,8,9,10,12],[1,6,8,9,10,11,13],[2,3,6,9,10,12,14],[2,3,7,9,10,11,14],[2,4,5,8,10,13,14],[2,4,6,7,8,10,11],[2,4,7,9,11,12,13],[2,5,6,8,9,11,13],[2,6,7,8,12,13,14],[3,4,5,6,7,10,13],[3,4,5,8,9,12,13],[3,4,6,8,9,12,14],[3,5,7,8,10,11,12],[3,5,7,9,11,13,14],[4,5,6,10,11,12,14]]; G[8734]:=Group([(2,10)(3,9)(4,8)(5,13)(7,11)]); # Design 8735: autom. group order 2, simple, residual B[8735]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,5,7,9,12,14],[1,3,6,7,8,13,14],[1,3,6,7,9,10,11],[1,4,5,6,10,13,14],[1,4,7,8,9,12,13],[1,4,7,8,10,11,14],[1,5,8,10,11,12,13],[1,6,9,11,12,13,14],[2,3,6,8,10,12,13],[2,3,7,10,12,13,14],[2,4,5,8,9,13,14],[2,4,6,7,9,11,13],[2,4,7,10,11,12,14],[2,5,6,7,8,11,13],[2,6,8,9,10,11,14],[3,4,5,6,11,12,14],[3,4,5,9,10,11,13],[3,4,6,8,9,12,14],[3,5,7,8,9,11,12],[3,5,7,9,10,13,14],[4,5,6,7,8,10,12]]; G[8735]:=Group([(2,12)(3,13)(4,11)(5,9)(7,14)]); # Design 8736: autom. group order 2, simple B[8736]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,5,7,9,12,14],[1,3,6,7,8,13,14],[1,3,6,7,9,10,11],[1,4,5,6,10,13,14],[1,4,7,8,9,12,13],[1,4,7,8,10,11,14],[1,5,8,10,11,12,13],[1,6,9,11,12,13,14],[2,3,6,8,10,12,13],[2,3,7,10,12,13,14],[2,4,5,8,9,13,14],[2,4,6,7,11,12,14],[2,4,7,9,10,11,13],[2,5,6,7,8,11,13],[2,6,8,9,10,11,14],[3,4,5,6,9,11,13],[3,4,5,10,11,12,14],[3,4,6,8,9,12,14],[3,5,7,8,9,11,12],[3,5,7,9,10,13,14],[4,5,6,7,8,10,12]]; G[8736]:=Group([(2,12)(3,13)(4,11)(5,9)(7,14)]); # Design 8737: autom. group order 2, simple, residual B[8737]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,7,9,10,12],[1,3,6,7,8,10,13],[1,3,6,9,10,11,14],[1,4,5,6,7,13,14],[1,4,7,8,10,11,14],[1,4,8,9,12,13,14],[1,5,7,8,11,12,13],[1,6,9,10,11,12,13],[2,3,6,8,12,13,14],[2,3,7,10,12,13,14],[2,4,5,8,9,10,13],[2,4,6,7,9,11,13],[2,4,7,10,11,12,14],[2,5,6,8,10,11,13],[2,6,7,8,9,11,14],[3,4,5,6,10,11,12],[3,4,5,9,11,13,14],[3,4,6,7,8,9,12],[3,5,7,8,9,11,12],[3,5,7,9,10,13,14],[4,5,6,8,10,12,14]]; G[8737]:=Group([(2,12)(3,13)(4,11)(5,9)(7,10)]); # Design 8738: autom. group order 2, simple B[8738]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,7,9,10,12],[1,3,6,7,8,10,13],[1,3,6,9,10,11,14],[1,4,5,6,7,13,14],[1,4,7,8,10,11,14],[1,4,8,9,12,13,14],[1,5,7,8,11,12,13],[1,6,9,10,11,12,13],[2,3,6,8,12,13,14],[2,3,7,10,12,13,14],[2,4,5,8,9,10,13],[2,4,6,7,10,11,12],[2,4,7,9,11,13,14],[2,5,6,8,10,11,13],[2,6,7,8,9,11,14],[3,4,5,6,9,11,13],[3,4,5,10,11,12,14],[3,4,6,7,8,9,12],[3,5,7,8,9,11,12],[3,5,7,9,10,13,14],[4,5,6,8,10,12,14]]; G[8738]:=Group([(2,12)(3,13)(4,11)(5,9)(7,10)]); # Design 8739: autom. group order 2, simple B[8739]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,8,11,12],[1,2,5,7,10,11,14],[1,3,6,7,9,10,13],[1,3,6,10,12,13,14],[1,4,5,6,9,13,14],[1,4,7,8,10,11,13],[1,4,7,9,11,12,14],[1,5,8,10,12,13,14],[1,6,7,8,9,11,12],[2,3,6,10,11,12,14],[2,3,7,9,11,13,14],[2,4,5,7,10,12,13],[2,4,6,7,8,10,14],[2,4,8,9,12,13,14],[2,5,6,7,9,12,13],[2,6,8,9,10,11,13],[3,4,5,6,8,11,13],[3,4,5,9,10,11,12],[3,4,6,7,8,12,14],[3,5,7,8,9,10,12],[3,5,7,8,11,13,14],[4,5,6,9,10,11,14]]; G[8739]:=Group([(1,13)(3,12)(5,9)(6,14)(7,8)]); # Design 8740: autom. group order 2, simple B[8740]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,10,11,14],[1,2,5,7,12,13,14],[1,3,6,7,10,12,13],[1,3,6,8,11,12,14],[1,4,5,6,9,10,12],[1,4,7,8,9,11,13],[1,4,8,10,12,13,14],[1,5,7,9,10,11,13],[1,6,7,8,9,11,14],[2,3,6,9,10,11,13],[2,3,7,8,10,13,14],[2,4,5,7,8,11,12],[2,4,6,7,9,13,14],[2,4,9,10,11,12,14],[2,5,6,8,9,12,13],[2,6,7,8,10,11,12],[3,4,5,6,8,11,13],[3,4,5,7,10,11,14],[3,4,6,7,9,12,14],[3,5,7,8,9,10,12],[3,5,9,11,12,13,14],[4,5,6,8,10,13,14]]; G[8740]:=Group([(1,11)(3,12)(5,10)(6,14)(7,9)]); # Design 8741: autom. group order 2, simple, residual B[8741]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,10,12,13,14],[1,3,6,7,8,13,14],[1,3,6,10,11,12,13],[1,4,5,6,9,11,14],[1,4,7,8,11,12,14],[1,4,7,9,10,13,14],[1,5,7,8,9,10,12],[1,6,8,9,10,11,13],[2,3,7,8,9,12,13],[2,3,7,9,10,11,14],[2,4,5,6,8,10,13],[2,4,6,7,9,11,13],[2,4,6,8,10,12,14],[2,5,7,10,11,13,14],[2,6,8,9,11,12,14],[3,4,5,8,9,13,14],[3,4,5,9,10,11,12],[3,4,6,7,10,12,14],[3,5,6,7,8,10,11],[3,5,6,9,12,13,14],[4,5,7,8,11,12,13]]; G[8741]:=Group([(2,10)(3,9)(4,8)(5,13)(7,11)]); # Design 8742: autom. group order 2, simple B[8742]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,10,12,13,14],[1,3,6,7,8,13,14],[1,3,6,10,11,12,13],[1,4,5,6,9,11,14],[1,4,7,8,11,12,14],[1,4,7,9,10,13,14],[1,5,7,8,9,10,12],[1,6,8,9,10,11,13],[2,3,7,8,9,13,14],[2,3,7,9,10,11,12],[2,4,5,6,8,10,13],[2,4,6,7,9,11,13],[2,4,6,8,10,12,14],[2,5,7,10,11,13,14],[2,6,8,9,11,12,14],[3,4,5,8,9,12,13],[3,4,5,9,10,11,14],[3,4,6,7,10,12,14],[3,5,6,7,8,10,11],[3,5,6,9,12,13,14],[4,5,7,8,11,12,13]]; G[8742]:=Group([(2,10)(3,9)(4,8)(5,13)(7,11)]); # Design 8743: autom. group order 2, simple B[8743]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,14],[1,2,5,10,12,13,14],[1,3,6,7,8,12,13],[1,3,6,10,11,12,14],[1,4,5,6,9,11,13],[1,4,7,8,11,13,14],[1,4,7,9,10,12,14],[1,5,7,8,9,10,13],[1,6,8,9,10,11,12],[2,3,7,8,9,12,13],[2,3,7,9,10,11,14],[2,4,5,6,8,10,12],[2,4,6,7,9,11,12],[2,4,6,8,10,13,14],[2,5,7,10,11,12,13],[2,6,8,9,11,13,14],[3,4,5,8,9,12,14],[3,4,5,9,10,11,13],[3,4,6,7,10,13,14],[3,5,6,7,8,10,11],[3,5,6,9,12,13,14],[4,5,7,8,11,12,14]]; G[8743]:=Group([(2,10)(3,9)(4,8)(5,12)(7,11)]); # Design 8744: autom. group order 2, simple, residual B[8744]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,14],[1,2,5,10,12,13,14],[1,3,6,7,8,12,13],[1,3,6,10,11,12,14],[1,4,5,6,9,11,13],[1,4,7,8,11,13,14],[1,4,7,9,10,12,14],[1,5,7,8,9,10,13],[1,6,8,9,10,11,12],[2,3,7,8,9,12,14],[2,3,7,9,10,11,13],[2,4,5,6,8,10,12],[2,4,6,7,9,11,12],[2,4,6,8,10,13,14],[2,5,7,10,11,12,13],[2,6,8,9,11,13,14],[3,4,5,8,9,12,13],[3,4,5,9,10,11,14],[3,4,6,7,10,13,14],[3,5,6,7,8,10,11],[3,5,6,9,12,13,14],[4,5,7,8,11,12,14]]; G[8744]:=Group([(2,10)(3,9)(4,8)(5,12)(7,11)]); # Design 8745: autom. group order 2, simple, residual B[8745]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,7,10,11],[1,2,5,8,11,12,13],[1,3,6,7,9,11,14],[1,3,6,10,12,13,14],[1,4,5,6,10,12,14],[1,4,7,8,9,10,13],[1,4,7,8,11,12,14],[1,5,9,10,11,13,14],[1,6,7,8,9,12,13],[2,3,7,9,10,11,12],[2,3,7,10,12,13,14],[2,4,5,6,9,12,13],[2,4,6,7,9,13,14],[2,4,6,8,10,11,14],[2,5,7,8,10,13,14],[2,6,8,9,11,12,14],[3,4,5,7,8,12,14],[3,4,5,9,11,13,14],[3,4,6,8,10,11,13],[3,5,6,7,8,11,13],[3,5,6,8,9,10,12],[4,5,7,9,10,11,12]]; G[8745]:=Group([(1,11)(2,13)(6,9)(7,14)]); # Design 8746: autom. group order 2, simple B[8746]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,7,10,13,14],[1,3,6,7,8,10,14],[1,3,6,9,10,11,12],[1,4,5,6,9,10,13],[1,4,7,8,10,11,12],[1,4,7,8,12,13,14],[1,5,7,9,11,12,13],[1,6,8,9,11,13,14],[2,3,7,9,10,11,13],[2,3,8,9,12,13,14],[2,4,5,6,8,11,12],[2,4,6,7,8,9,13],[2,4,6,10,11,13,14],[2,5,7,8,9,10,12],[2,6,7,10,11,12,14],[3,4,5,7,9,11,14],[3,4,5,10,12,13,14],[3,4,6,7,9,12,14],[3,5,6,7,8,11,13],[3,5,6,8,10,12,13],[4,5,8,9,10,11,14]]; G[8746]:=Group([(1,2)(3,5)(4,14)(6,8)(7,11)(10,12)]); # Design 8747: autom. group order 2, simple, residual B[8747]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,10,11,14],[1,2,5,8,11,12,13],[1,3,6,7,9,11,14],[1,3,6,10,12,13,14],[1,4,5,6,7,10,12],[1,4,7,8,9,10,13],[1,4,7,8,11,12,14],[1,5,7,9,10,11,13],[1,6,8,9,12,13,14],[2,3,7,9,10,11,12],[2,3,7,10,12,13,14],[2,4,5,6,9,12,13],[2,4,6,7,9,13,14],[2,4,6,8,10,11,14],[2,5,7,8,10,13,14],[2,6,7,8,9,11,12],[3,4,5,7,8,12,14],[3,4,5,9,11,13,14],[3,4,6,8,10,11,13],[3,5,6,7,8,11,13],[3,5,6,8,9,10,12],[4,5,9,10,11,12,14]]; G[8747]:=Group([(1,11)(2,13)(6,9)(7,14)]); # Design 8748: autom. group order 2, simple B[8748]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,12,14],[1,2,5,9,10,13,14],[1,3,6,7,8,9,12],[1,3,6,8,10,13,14],[1,4,5,6,9,10,11],[1,4,7,8,9,11,14],[1,4,7,10,12,13,14],[1,5,7,9,11,12,13],[1,6,8,10,11,12,13],[2,3,7,9,10,11,13],[2,3,7,10,11,12,14],[2,4,5,8,9,12,13],[2,4,6,7,8,11,13],[2,4,6,9,10,12,14],[2,5,6,8,10,11,12],[2,6,7,8,9,13,14],[3,4,5,6,7,10,13],[3,4,5,8,12,13,14],[3,4,6,9,11,12,14],[3,5,6,9,11,13,14],[3,5,7,8,9,10,12],[4,5,7,8,10,11,14]]; G[8748]:=Group([(2,13)(3,12)(4,11)(5,10)(7,8)]); # Design 8749: autom. group order 2, simple B[8749]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,5,7,10,12,14],[1,3,6,7,8,9,14],[1,3,6,9,10,12,14],[1,4,5,7,8,10,13],[1,4,6,7,9,11,13],[1,4,6,8,10,11,12],[1,5,9,10,11,13,14],[1,7,8,11,12,13,14],[2,3,6,7,11,13,14],[2,3,7,8,10,12,13],[2,4,5,6,10,11,14],[2,4,7,9,10,13,14],[2,4,8,9,11,12,14],[2,5,6,8,9,12,13],[2,6,7,8,9,10,11],[3,4,5,7,9,11,12],[3,4,5,8,9,13,14],[3,4,6,10,12,13,14],[3,5,6,8,10,11,13],[3,5,7,9,10,11,12],[4,5,6,7,8,12,14]]; G[8749]:=Group([(1,10)(2,11)(3,6)(4,8)(7,13)(9,12)]); # Design 8750: autom. group order 2, simple B[8750]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,7,9,12,13],[1,3,6,7,8,12,13],[1,3,6,10,11,13,14],[1,4,5,7,10,13,14],[1,4,6,7,8,11,14],[1,4,6,9,10,11,12],[1,5,8,9,10,11,13],[1,7,8,9,10,12,14],[2,3,6,7,9,10,14],[2,3,7,9,10,11,13],[2,4,5,10,11,12,14],[2,4,6,8,9,13,14],[2,4,6,8,10,12,13],[2,5,6,7,8,10,11],[2,7,8,11,12,13,14],[3,4,5,7,8,10,12],[3,4,5,8,9,13,14],[3,4,7,9,11,12,14],[3,5,6,8,9,11,12],[3,5,6,10,12,13,14],[4,5,6,7,9,11,13]]; G[8750]:=Group([(2,9)(3,10)(4,8)(5,12)(6,14)]); # Design 8751: autom. group order 2, simple B[8751]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,7,11,14],[1,2,5,10,12,13,14],[1,3,6,7,10,12,14],[1,3,6,8,10,11,13],[1,4,5,8,9,11,12],[1,4,6,7,8,12,13],[1,4,6,9,10,11,14],[1,5,7,9,10,11,13],[1,7,8,9,12,13,14],[2,3,6,9,10,12,13],[2,3,7,8,11,13,14],[2,4,5,7,8,10,13],[2,4,6,8,11,12,14],[2,4,7,9,10,12,14],[2,5,6,9,11,12,13],[2,6,7,8,9,10,11],[3,4,5,6,9,13,14],[3,4,5,7,10,11,12],[3,4,7,9,11,13,14],[3,5,6,7,8,9,12],[3,5,8,10,11,12,14],[4,5,6,8,10,13,14]]; G[8751]:=Group([(3,5)(4,14)(6,9)(7,8)(10,11)]); # Design 8752: autom. group order 2, simple B[8752]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,5,7,10,12,14],[1,3,6,7,8,9,14],[1,3,6,9,10,11,12],[1,4,5,7,8,9,13],[1,4,6,7,12,13,14],[1,4,6,8,10,11,14],[1,5,9,10,11,13,14],[1,7,8,10,11,12,13],[2,3,6,7,10,11,13],[2,3,8,9,12,13,14],[2,4,5,7,9,10,11],[2,4,6,9,11,13,14],[2,4,7,8,11,12,14],[2,5,6,8,10,13,14],[2,6,7,8,9,10,12],[3,4,5,6,10,12,14],[3,4,5,8,10,12,13],[3,4,7,9,10,13,14],[3,5,6,7,8,11,13],[3,5,7,9,11,12,14],[4,5,6,8,9,11,12]]; G[8752]:=Group([(1,9)(2,14)(4,7)(5,13)(6,10)(11,12)]); # Design 8753: autom. group order 2, simple, residual B[8753]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,7,9,12,13],[1,3,6,7,8,12,13],[1,3,6,10,11,13,14],[1,4,5,7,10,13,14],[1,4,6,7,8,11,14],[1,4,6,9,10,11,12],[1,5,8,9,10,11,13],[1,7,8,9,10,12,14],[2,3,6,9,10,13,14],[2,3,7,8,10,12,14],[2,4,5,10,11,12,14],[2,4,6,8,9,13,14],[2,4,7,8,9,11,13],[2,5,6,7,8,10,11],[2,6,7,10,11,12,13],[3,4,5,6,7,9,10],[3,4,5,8,10,12,13],[3,4,7,9,11,12,14],[3,5,6,8,9,11,12],[3,5,7,9,11,13,14],[4,5,6,8,12,13,14]]; G[8753]:=Group([(2,9)(3,10)(4,8)(5,12)(6,14)]); # Design 8754: autom. group order 2, simple, residual B[8754]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,7,9,10,12],[1,3,6,7,10,13,14],[1,3,6,8,9,10,11],[1,4,5,7,8,13,14],[1,4,6,7,10,11,14],[1,4,6,8,9,12,13],[1,5,7,8,11,12,13],[1,9,10,11,12,13,14],[2,3,7,8,10,12,13],[2,3,7,9,11,13,14],[2,4,5,9,10,13,14],[2,4,6,7,9,11,13],[2,4,6,8,11,12,14],[2,5,6,8,10,11,13],[2,6,7,8,10,12,14],[3,4,5,6,10,12,13],[3,4,5,10,11,12,14],[3,4,7,8,9,12,14],[3,5,6,7,9,11,12],[3,5,6,8,9,13,14],[4,5,7,8,9,10,11]]; G[8754]:=Group([(2,12)(3,13)(4,11)(5,9)(6,14)(7,10)]); # Design 8755: autom. group order 2, simple, residual B[8755]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,14],[1,2,5,7,8,12,13],[1,3,6,7,8,9,12],[1,3,6,9,11,12,14],[1,4,5,7,9,13,14],[1,4,6,7,10,11,13],[1,4,6,8,10,13,14],[1,5,9,10,11,12,13],[1,7,8,10,11,12,14],[2,3,7,9,10,13,14],[2,3,7,10,12,13,14],[2,4,5,9,10,11,12],[2,4,6,7,11,12,14],[2,4,6,8,9,12,13],[2,5,6,7,8,10,11],[2,6,8,9,11,13,14],[3,4,5,6,10,12,14],[3,4,5,8,11,13,14],[3,4,7,8,9,10,11],[3,5,6,7,9,11,13],[3,5,6,8,10,12,13],[4,5,7,8,9,12,14]]; G[8755]:=Group([(1,11)(2,7)(3,10)(4,8)(5,6)(13,14)]); # Design 8756: autom. group order 2, simple, residual B[8756]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,7,9,10,13],[1,3,6,7,8,12,13],[1,3,6,9,10,11,12],[1,4,5,10,11,13,14],[1,4,6,8,10,12,14],[1,4,7,9,11,13,14],[1,5,6,7,8,10,13],[1,7,8,9,11,12,14],[2,3,6,7,10,11,14],[2,3,8,9,10,13,14],[2,4,5,7,8,12,14],[2,4,6,7,8,9,11],[2,4,6,10,12,13,14],[2,5,6,9,11,12,13],[2,7,8,10,11,12,13],[3,4,5,7,10,11,12],[3,4,5,8,9,12,13],[3,4,6,7,9,13,14],[3,5,6,8,11,13,14],[3,5,7,9,10,12,14],[4,5,6,8,9,10,11]]; G[8756]:=Group([(1,13)(3,12)(4,11)(5,10)(6,8)]); # Design 8757: autom. group order 2, simple B[8757]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,7,10,12,13],[1,3,6,7,8,9,13],[1,3,6,9,10,11,12],[1,4,5,8,10,13,14],[1,4,6,9,11,13,14],[1,4,7,8,10,12,14],[1,5,6,7,10,11,13],[1,7,8,9,11,12,14],[2,3,6,7,8,13,14],[2,3,10,11,12,13,14],[2,4,5,7,9,11,14],[2,4,6,7,8,11,12],[2,4,6,9,10,13,14],[2,5,6,8,9,10,12],[2,7,8,9,10,11,13],[3,4,5,7,9,10,11],[3,4,5,8,9,12,13],[3,4,6,7,10,12,14],[3,5,6,8,10,11,14],[3,5,7,9,12,13,14],[4,5,6,8,11,12,13]]; G[8757]:=Group([(1,10)(3,9)(4,8)(5,13)(6,11)]); # Design 8758: autom. group order 2, simple, residual B[8758]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,7,10,12,13],[1,3,6,7,8,9,13],[1,3,6,9,10,11,14],[1,4,5,8,10,13,14],[1,4,6,9,11,12,13],[1,4,7,8,10,12,14],[1,5,6,7,10,11,13],[1,7,8,9,11,12,14],[2,3,6,7,8,13,14],[2,3,10,11,12,13,14],[2,4,5,7,9,11,14],[2,4,6,7,8,11,12],[2,4,6,9,10,13,14],[2,5,6,8,9,10,12],[2,7,8,9,10,11,13],[3,4,5,7,9,10,11],[3,4,5,8,9,12,13],[3,4,6,7,10,12,14],[3,5,6,8,10,11,12],[3,5,7,9,12,13,14],[4,5,6,8,11,13,14]]; G[8758]:=Group([(1,10)(3,9)(4,8)(5,13)(6,11)]); # Design 8759: autom. group order 2, simple, residual B[8759]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,14],[1,2,5,7,9,12,13],[1,3,6,7,10,11,13],[1,3,6,8,9,10,12],[1,4,5,7,10,11,14],[1,4,6,7,9,11,12],[1,4,8,9,11,13,14],[1,5,6,9,10,13,14],[1,7,8,10,12,13,14],[2,3,6,7,9,13,14],[2,3,10,11,12,13,14],[2,4,5,9,10,12,13],[2,4,6,7,8,13,14],[2,4,6,9,10,11,14],[2,5,7,8,9,10,11],[2,6,7,8,10,11,12],[3,4,5,6,10,12,14],[3,4,5,7,8,10,13],[3,4,7,8,9,12,14],[3,5,6,8,9,11,13],[3,5,7,9,11,12,14],[4,5,6,8,11,12,13]]; G[8759]:=Group([(1,10)(3,9)(5,11)(7,14)]); # Design 8760: autom. group order 2, simple, residual B[8760]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,14],[1,2,5,7,9,12,13],[1,3,6,7,10,11,13],[1,3,6,8,9,10,12],[1,4,5,7,10,11,14],[1,4,6,9,11,12,14],[1,4,7,8,9,11,13],[1,5,6,9,10,13,14],[1,7,8,10,12,13,14],[2,3,6,7,9,13,14],[2,3,10,11,12,13,14],[2,4,5,9,10,12,13],[2,4,6,7,8,13,14],[2,4,6,9,10,11,14],[2,5,7,8,9,10,11],[2,6,7,8,10,11,12],[3,4,5,6,7,10,12],[3,4,5,8,10,13,14],[3,4,7,8,9,12,14],[3,5,6,8,9,11,13],[3,5,7,9,11,12,14],[4,5,6,8,11,12,13]]; G[8760]:=Group([(1,10)(3,9)(5,11)(7,14)]); # Design 8761: autom. group order 2, simple, residual B[8761]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,5,7,9,12,14],[1,3,6,7,10,13,14],[1,3,6,8,9,11,14],[1,4,5,7,8,10,13],[1,4,6,7,10,11,14],[1,4,7,8,9,12,13],[1,5,6,8,11,12,13],[1,9,10,11,12,13,14],[2,3,6,8,10,12,13],[2,3,7,9,10,11,13],[2,4,5,10,11,13,14],[2,4,6,8,9,13,14],[2,4,7,8,11,12,14],[2,5,6,7,9,11,13],[2,6,7,8,10,12,14],[3,4,5,6,12,13,14],[3,4,5,9,10,12,14],[3,4,6,7,9,11,12],[3,5,7,8,9,13,14],[3,5,7,8,10,11,12],[4,5,6,8,9,10,11]]; G[8761]:=Group([(2,12)(3,13)(4,11)(5,9)(6,10)(7,14)]); # Design 8762: autom. group order 2, simple, residual B[8762]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,5,7,9,13,14],[1,3,6,7,10,12,14],[1,3,6,8,9,13,14],[1,4,5,7,10,11,14],[1,4,6,7,8,9,11],[1,4,8,10,12,13,14],[1,5,6,8,11,12,13],[1,7,9,10,11,12,13],[2,3,6,10,11,12,14],[2,3,7,9,10,11,13],[2,4,5,9,12,13,14],[2,4,6,7,8,10,13],[2,4,7,8,11,12,14],[2,5,6,8,10,11,13],[2,6,7,8,9,12,14],[3,4,5,6,7,12,13],[3,4,5,8,9,10,12],[3,4,6,9,11,13,14],[3,5,7,8,9,11,12],[3,5,7,8,10,13,14],[4,5,6,9,10,11,14]]; G[8762]:=Group([(2,12)(3,13)(4,11)(5,10)(6,9)]); # Design 8763: autom. group order 2, simple, residual B[8763]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,5,7,10,12,14],[1,3,6,7,8,13,14],[1,3,6,9,11,13,14],[1,4,5,10,11,12,14],[1,4,6,7,8,11,12],[1,4,7,9,10,13,14],[1,5,6,7,8,9,10],[1,8,9,10,11,12,13],[2,3,6,9,10,12,14],[2,3,7,8,10,12,13],[2,4,5,8,9,13,14],[2,4,6,7,10,11,13],[2,4,7,8,9,11,14],[2,5,6,8,10,11,13],[2,6,7,9,11,12,14],[3,4,5,6,9,10,11],[3,4,5,7,9,12,13],[3,4,6,8,10,12,14],[3,5,7,8,9,11,12],[3,5,7,10,11,13,14],[4,5,6,8,12,13,14]]; G[8763]:=Group([(2,9)(3,10)(4,8)(5,13)(6,12)(7,11)]); # Design 8764: autom. group order 2, simple B[8764]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,14],[1,2,5,7,9,10,13],[1,3,6,7,9,11,14],[1,3,6,9,10,12,13],[1,4,5,9,10,11,14],[1,4,6,7,10,11,12],[1,4,7,8,10,13,14],[1,5,6,7,8,12,13],[1,8,9,11,12,13,14],[2,3,6,8,10,11,13],[2,3,7,9,12,13,14],[2,4,5,10,12,13,14],[2,4,6,7,11,13,14],[2,4,7,8,9,11,12],[2,5,6,9,10,11,12],[2,6,7,8,9,10,14],[3,4,5,6,9,13,14],[3,4,5,7,8,9,12],[3,4,6,8,10,12,14],[3,5,7,8,10,11,13],[3,5,7,10,11,12,14],[4,5,6,8,9,11,13]]; G[8764]:=Group([(2,14)(3,11)(4,9)(5,8)(6,12)(7,13)]); # Design 8765: autom. group order 2, simple, residual B[8765]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,5,7,9,12,14],[1,3,6,7,10,13,14],[1,3,6,8,9,11,14],[1,4,5,7,8,10,13],[1,4,6,7,10,11,14],[1,4,7,8,9,12,13],[1,5,6,8,11,12,13],[1,9,10,11,12,13,14],[2,3,7,8,12,13,14],[2,3,7,9,10,11,13],[2,4,5,10,11,13,14],[2,4,6,8,9,13,14],[2,4,6,8,10,11,12],[2,5,6,7,9,11,13],[2,6,7,8,10,12,14],[3,4,5,6,12,13,14],[3,4,5,9,10,12,14],[3,4,6,7,9,11,12],[3,5,6,8,9,10,13],[3,5,7,8,10,11,12],[4,5,7,8,9,11,14]]; G[8765]:=Group([(2,12)(3,13)(4,11)(5,9)(6,10)(7,14)]); # Design 8766: autom. group order 2, simple B[8766]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,10,11,14],[1,2,5,7,8,11,12],[1,3,6,7,9,10,13],[1,3,6,8,10,12,13],[1,4,5,7,9,13,14],[1,4,6,9,11,12,14],[1,4,7,10,11,13,14],[1,5,8,10,12,13,14],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,10,11,12,14],[2,4,5,6,10,12,13],[2,4,6,7,8,10,14],[2,4,8,9,12,13,14],[2,5,6,7,9,12,13],[2,7,8,9,10,11,13],[3,4,5,7,8,11,13],[3,4,5,9,10,11,12],[3,4,6,7,8,12,14],[3,5,6,8,11,13,14],[3,5,7,9,10,12,14],[4,5,6,8,9,10,11]]; G[8766]:=Group([(1,13)(3,12)(5,9)(6,8)(7,14)]); # Design 8767: autom. group order 2, simple, residual B[8767]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,5,7,9,12,14],[1,3,6,8,9,13,14],[1,3,6,10,11,12,13],[1,4,5,7,8,10,13],[1,4,6,7,9,11,13],[1,4,7,8,11,12,14],[1,5,9,10,11,13,14],[1,6,7,8,10,12,14],[2,3,6,7,10,13,14],[2,3,7,8,9,10,11],[2,4,5,6,8,12,13],[2,4,6,7,10,11,14],[2,4,9,10,12,13,14],[2,5,6,8,11,13,14],[2,7,8,9,11,12,13],[3,4,5,7,9,13,14],[3,4,5,10,11,12,14],[3,4,6,8,9,12,14],[3,5,6,7,9,11,12],[3,5,7,8,10,12,13],[4,5,6,8,9,10,11]]; G[8767]:=Group([(1,12)(3,13)(5,9)(6,10)(7,14)]); # Design 8768: autom. group order 2, simple, residual B[8768]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,7,8,12,13],[1,3,6,7,9,13,14],[1,3,6,10,11,12,13],[1,4,5,9,10,11,13],[1,4,6,7,8,13,14],[1,4,7,10,11,12,14],[1,5,8,9,10,12,14],[1,6,7,8,9,10,11],[2,3,6,8,10,11,14],[2,3,7,9,10,13,14],[2,4,5,6,9,10,13],[2,4,6,7,8,10,12],[2,4,7,9,11,12,14],[2,5,7,10,11,13,14],[2,6,8,9,11,12,13],[3,4,5,6,10,12,14],[3,4,5,7,8,9,11],[3,4,8,9,12,13,14],[3,5,6,7,9,11,12],[3,5,7,8,10,12,13],[4,5,6,8,11,13,14]]; G[8768]:=Group([(2,10)(3,9)(4,8)(5,11)(13,14)]); # Design 8769: autom. group order 2, simple, residual B[8769]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,7,10,11],[1,2,5,8,11,12,13],[1,3,6,7,9,11,14],[1,3,6,9,10,12,13],[1,4,5,7,10,12,14],[1,4,6,8,11,12,14],[1,4,7,8,10,13,14],[1,5,9,10,11,13,14],[1,6,7,8,9,12,13],[2,3,6,10,12,13,14],[2,3,7,10,11,12,14],[2,4,5,7,9,12,13],[2,4,6,7,9,13,14],[2,4,6,8,9,10,11],[2,5,6,8,10,13,14],[2,7,8,9,11,12,14],[3,4,5,6,8,12,14],[3,4,5,9,11,13,14],[3,4,7,8,10,11,13],[3,5,6,7,8,11,13],[3,5,7,8,9,10,12],[4,5,6,9,10,11,12]]; G[8769]:=Group([(1,11)(2,13)(6,14)(7,9)]); # Design 8770: autom. group order 2, simple, residual B[8770]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,10,11,12],[1,2,5,7,10,11,14],[1,3,6,8,10,13,14],[1,3,6,9,11,12,13],[1,4,5,7,8,12,13],[1,4,6,7,9,10,13],[1,4,7,8,11,12,14],[1,5,9,10,12,13,14],[1,6,7,8,9,11,14],[2,3,6,7,8,10,12],[2,3,7,9,12,13,14],[2,4,5,8,9,11,13],[2,4,6,7,9,12,14],[2,4,6,10,11,13,14],[2,5,6,8,12,13,14],[2,7,8,9,10,11,13],[3,4,5,6,9,11,14],[3,4,5,7,10,13,14],[3,4,8,10,11,12,14],[3,5,6,7,8,11,13],[3,5,7,9,10,11,12],[4,5,6,8,9,10,12]]; G[8770]:=Group([(1,11)(3,13)(5,10)(7,14)]); # Design 8771: autom. group order 2, simple B[8771]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,5,7,9,12,13],[1,3,6,8,10,12,13],[1,3,6,9,11,13,14],[1,4,5,7,8,9,14],[1,4,6,7,8,10,11],[1,4,7,10,12,13,14],[1,5,7,10,11,13,14],[1,6,8,9,11,12,14],[2,3,7,8,10,12,14],[2,3,7,9,10,11,14],[2,4,5,6,11,12,14],[2,4,6,7,8,11,13],[2,4,6,9,10,13,14],[2,5,6,8,10,13,14],[2,7,8,9,11,12,13],[3,4,5,8,12,13,14],[3,4,5,9,10,11,13],[3,4,6,7,9,12,14],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,8,9,10,11,12]]; G[8771]:=Group([(1,6)(2,7)(4,5)(8,12)(9,11)]); # Design 8772: autom. group order 2, simple, residual B[8772]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,5,7,9,12,13],[1,3,6,8,10,12,14],[1,3,6,9,11,13,14],[1,4,5,7,8,9,14],[1,4,6,7,8,10,11],[1,4,7,10,12,13,14],[1,5,7,10,11,13,14],[1,6,8,9,11,12,13],[2,3,7,8,10,12,13],[2,3,7,9,10,11,14],[2,4,5,6,11,12,14],[2,4,6,7,8,11,13],[2,4,6,9,10,13,14],[2,5,6,8,10,13,14],[2,7,8,9,11,12,14],[3,4,5,8,12,13,14],[3,4,5,9,10,11,13],[3,4,6,7,9,12,14],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,8,9,10,11,12]]; G[8772]:=Group([(1,6)(2,7)(4,5)(8,12)(9,11)]); # Design 8773: autom. group order 2, simple B[8773]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,5,7,9,12,13],[1,3,6,8,12,13,14],[1,3,6,9,10,11,13],[1,4,5,7,8,9,14],[1,4,6,7,8,10,11],[1,4,7,10,12,13,14],[1,5,7,10,11,13,14],[1,6,8,9,11,12,14],[2,3,7,8,10,12,14],[2,3,7,9,10,11,14],[2,4,5,6,11,12,14],[2,4,6,7,8,11,13],[2,4,6,9,10,13,14],[2,5,6,8,10,13,14],[2,7,8,9,11,12,13],[3,4,5,8,10,12,13],[3,4,5,9,11,13,14],[3,4,6,7,9,12,14],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,8,9,10,11,12]]; G[8773]:=Group([(1,6)(2,7)(4,5)(8,12)(9,11)]); # Design 8774: autom. group order 2, simple, residual B[8774]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,5,7,9,12,14],[1,3,6,8,12,13,14],[1,3,6,9,10,11,14],[1,4,5,7,8,9,13],[1,4,6,7,8,10,11],[1,4,7,10,12,13,14],[1,5,7,10,11,13,14],[1,6,8,9,11,12,13],[2,3,7,8,10,12,13],[2,3,7,9,11,13,14],[2,4,5,6,11,12,13],[2,4,6,7,8,11,14],[2,4,6,9,10,13,14],[2,5,6,8,10,13,14],[2,7,8,9,10,11,12],[3,4,5,8,10,12,14],[3,4,5,9,10,11,13],[3,4,6,7,9,12,14],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,8,9,11,12,14]]; G[8774]:=Group([(1,6)(2,7)(4,5)(8,12)(9,11)]); # Design 8775: autom. group order 2, simple, residual B[8775]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,5,7,9,10,12],[1,3,6,8,10,12,13],[1,3,6,9,10,11,14],[1,4,5,7,8,9,14],[1,4,6,7,8,11,13],[1,4,7,10,12,13,14],[1,5,7,10,11,13,14],[1,6,8,9,11,12,14],[2,3,7,8,10,12,14],[2,3,7,9,11,13,14],[2,4,5,6,11,12,14],[2,4,6,7,8,10,11],[2,4,6,9,10,13,14],[2,5,6,8,10,13,14],[2,7,8,9,11,12,13],[3,4,5,8,12,13,14],[3,4,5,9,10,11,13],[3,4,6,7,9,12,14],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,8,9,10,11,12]]; G[8775]:=Group([(1,6)(2,7)(4,5)(8,12)(9,11)]); # Design 8776: autom. group order 2, simple B[8776]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,5,7,9,10,12],[1,3,6,8,10,12,14],[1,3,6,9,10,11,14],[1,4,5,7,8,9,14],[1,4,6,7,8,11,13],[1,4,7,10,12,13,14],[1,5,7,10,11,13,14],[1,6,8,9,11,12,13],[2,3,7,8,10,12,13],[2,3,7,9,11,13,14],[2,4,5,6,11,12,14],[2,4,6,7,8,10,11],[2,4,6,9,10,13,14],[2,5,6,8,10,13,14],[2,7,8,9,11,12,14],[3,4,5,8,12,13,14],[3,4,5,9,10,11,13],[3,4,6,7,9,12,14],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,8,9,10,11,12]]; G[8776]:=Group([(1,6)(2,7)(4,5)(8,12)(9,11)]); # Design 8777: autom. group order 2, simple, residual B[8777]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,7,9,10,12],[1,3,6,8,10,12,14],[1,3,6,9,10,11,13],[1,4,5,7,8,9,13],[1,4,6,7,8,11,14],[1,4,7,10,12,13,14],[1,5,7,10,11,13,14],[1,6,8,9,11,12,13],[2,3,7,8,10,12,13],[2,3,7,9,11,13,14],[2,4,5,6,11,12,13],[2,4,6,7,8,10,11],[2,4,6,9,10,13,14],[2,5,6,8,10,13,14],[2,7,8,9,11,12,14],[3,4,5,8,12,13,14],[3,4,5,9,10,11,14],[3,4,6,7,9,12,14],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,8,9,10,11,12]]; G[8777]:=Group([(1,6)(2,7)(4,5)(8,12)(9,11)]); # Design 8778: autom. group order 2, simple, residual B[8778]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,5,7,9,10,12],[1,3,6,8,10,12,14],[1,3,6,9,10,11,13],[1,4,5,7,8,9,14],[1,4,6,7,8,11,13],[1,4,7,10,12,13,14],[1,5,7,10,11,13,14],[1,6,8,9,11,12,14],[2,3,7,8,12,13,14],[2,3,7,9,10,11,14],[2,4,5,6,11,12,14],[2,4,6,7,8,10,11],[2,4,6,9,10,13,14],[2,5,6,8,10,13,14],[2,7,8,9,11,12,13],[3,4,5,8,10,12,13],[3,4,5,9,11,13,14],[3,4,6,7,9,12,14],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,8,9,10,11,12]]; G[8778]:=Group([(1,6)(2,7)(4,5)(8,12)(9,11)]); # Design 8779: autom. group order 2, simple B[8779]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,5,7,9,10,12],[1,3,6,8,10,12,14],[1,3,6,9,10,11,14],[1,4,5,7,8,9,14],[1,4,6,7,8,11,13],[1,4,7,10,12,13,14],[1,5,7,10,11,13,14],[1,6,8,9,11,12,13],[2,3,7,8,12,13,14],[2,3,7,9,10,11,13],[2,4,5,6,11,12,14],[2,4,6,7,8,10,11],[2,4,6,9,10,13,14],[2,5,6,8,10,13,14],[2,7,8,9,11,12,14],[3,4,5,8,10,12,13],[3,4,5,9,11,13,14],[3,4,6,7,9,12,14],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,8,9,10,11,12]]; G[8779]:=Group([(1,6)(2,7)(4,5)(8,12)(9,11)]); # Design 8780: autom. group order 2, simple, residual B[8780]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,7,9,10,12],[1,3,6,8,10,12,13],[1,3,6,9,10,11,14],[1,4,5,7,8,9,13],[1,4,6,7,8,11,14],[1,4,7,10,12,13,14],[1,5,7,10,11,13,14],[1,6,8,9,11,12,13],[2,3,7,8,12,13,14],[2,3,7,9,10,11,13],[2,4,5,6,11,12,13],[2,4,6,7,8,10,11],[2,4,6,9,10,13,14],[2,5,6,8,10,13,14],[2,7,8,9,11,12,14],[3,4,5,8,10,12,14],[3,4,5,9,11,13,14],[3,4,6,7,9,12,14],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,8,9,10,11,12]]; G[8780]:=Group([(1,6)(2,7)(4,5)(8,12)(9,11)]); # Design 8781: autom. group order 2, simple B[8781]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,7,9,10,12],[1,3,6,8,10,12,13],[1,3,6,9,10,11,14],[1,4,5,7,8,9,13],[1,4,6,7,8,11,14],[1,4,7,10,12,13,14],[1,5,7,10,11,13,14],[1,6,8,9,11,12,13],[2,3,7,8,12,13,14],[2,3,7,9,11,13,14],[2,4,5,6,11,12,13],[2,4,6,7,8,10,11],[2,4,6,9,10,13,14],[2,5,6,8,10,13,14],[2,7,8,9,10,11,12],[3,4,5,8,10,12,14],[3,4,5,9,10,11,13],[3,4,6,7,9,12,14],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,8,9,11,12,14]]; G[8781]:=Group([(1,6)(2,7)(4,5)(8,12)(9,11)]); # Design 8782: autom. group order 2, simple B[8782]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,7,9,10,12],[1,3,6,8,10,12,14],[1,3,6,9,10,11,13],[1,4,5,7,8,9,13],[1,4,6,7,8,11,14],[1,4,7,10,12,13,14],[1,5,7,10,11,13,14],[1,6,8,9,11,12,13],[2,3,7,8,12,13,14],[2,3,7,9,11,13,14],[2,4,5,6,11,12,13],[2,4,6,7,8,10,11],[2,4,6,9,10,13,14],[2,5,6,8,10,13,14],[2,7,8,9,10,11,12],[3,4,5,8,10,12,13],[3,4,5,9,10,11,14],[3,4,6,7,9,12,14],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,8,9,11,12,14]]; G[8782]:=Group([(1,6)(2,7)(4,5)(8,12)(9,11)]); # Design 8783: autom. group order 2, simple B[8783]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,5,7,9,10,12],[1,3,6,8,10,12,14],[1,3,6,9,11,13,14],[1,4,5,7,8,9,14],[1,4,6,7,8,11,13],[1,4,7,10,12,13,14],[1,5,7,10,11,13,14],[1,6,8,9,10,11,12],[2,3,7,8,12,13,14],[2,3,7,9,10,11,14],[2,4,5,6,11,12,14],[2,4,6,7,8,10,11],[2,4,6,9,10,13,14],[2,5,6,8,10,13,14],[2,7,8,9,11,12,13],[3,4,5,8,10,12,13],[3,4,5,9,10,11,13],[3,4,6,7,9,12,14],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,8,9,11,12,14]]; G[8783]:=Group([(1,6)(2,7)(4,5)(8,12)(9,11)]); # Design 8784: autom. group order 2, simple, residual B[8784]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,5,7,9,12,13],[1,3,6,8,12,13,14],[1,3,6,9,11,13,14],[1,4,5,7,8,12,14],[1,4,6,7,8,10,11],[1,4,7,9,10,13,14],[1,5,7,10,11,13,14],[1,6,8,9,10,11,12],[2,3,7,8,10,12,14],[2,3,7,9,10,11,14],[2,4,5,6,9,11,14],[2,4,6,7,8,11,13],[2,4,6,10,12,13,14],[2,5,6,8,10,13,14],[2,7,8,9,11,12,13],[3,4,5,8,9,10,13],[3,4,5,10,11,12,13],[3,4,6,7,9,12,14],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,8,9,11,12,14]]; G[8784]:=Group([(1,2)(6,7)(8,11)(9,12)(10,13)]); # Design 8785: autom. group order 2, simple, residual B[8785]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,7,9,10,13],[1,3,6,7,8,13,14],[1,3,6,10,11,13,14],[1,4,5,8,10,12,14],[1,4,6,7,10,12,14],[1,4,7,8,9,11,12],[1,5,7,9,10,11,13],[1,6,8,9,11,12,13],[2,3,7,8,10,12,13],[2,3,9,10,11,12,14],[2,4,5,6,11,12,13],[2,4,6,7,8,10,11],[2,4,6,9,10,13,14],[2,5,7,8,12,13,14],[2,6,7,8,9,11,14],[3,4,5,6,8,9,13],[3,4,5,7,9,11,14],[3,4,7,9,12,13,14],[3,5,6,7,10,11,12],[3,5,6,8,9,10,12],[4,5,8,10,11,13,14]]; G[8785]:=Group([(1,9)(3,14)(4,6)(5,10)(7,13)(8,12)]); # Design 8786: autom. group order 2, simple B[8786]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,11,12,14],[1,2,5,7,10,13,14],[1,3,6,7,8,10,11],[1,3,6,9,11,12,13],[1,4,5,7,9,10,11],[1,4,7,8,12,13,14],[1,4,8,10,11,12,14],[1,5,6,9,10,12,13],[1,6,7,8,9,13,14],[2,3,6,8,10,12,14],[2,3,7,9,10,12,13],[2,4,5,6,8,11,13],[2,4,6,7,9,12,14],[2,4,9,10,11,13,14],[2,5,7,8,9,11,12],[2,6,7,8,10,11,13],[3,4,5,6,10,13,14],[3,4,5,7,8,12,13],[3,4,6,7,9,11,14],[3,5,7,10,11,12,14],[3,5,8,9,11,13,14],[4,5,6,8,9,10,12]]; G[8786]:=Group([(1,13)(3,11)(5,10)(6,9)(7,14)]); # Design 8787: autom. group order 2, simple, residual B[8787]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,5,7,9,13,14],[1,3,6,7,8,12,13],[1,3,6,9,12,13,14],[1,4,5,10,11,12,14],[1,4,7,8,9,10,13],[1,4,7,8,11,12,14],[1,5,6,8,10,11,13],[1,6,7,9,10,11,14],[2,3,6,7,10,11,14],[2,3,8,9,10,12,14],[2,4,5,6,8,13,14],[2,4,6,7,8,9,11],[2,4,7,10,12,13,14],[2,5,7,9,11,12,13],[2,6,8,10,11,12,13],[3,4,5,6,7,10,12],[3,4,5,9,10,11,13],[3,4,6,9,11,13,14],[3,5,7,8,9,11,12],[3,5,7,8,10,13,14],[4,5,6,8,9,12,14]]; G[8787]:=Group([(1,12)(3,13)(4,11)(5,10)(7,8)]); # Design 8788: autom. group order 2, simple, residual B[8788]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,10,11,14],[1,2,5,8,11,12,13],[1,3,6,7,9,11,14],[1,3,7,9,10,12,13],[1,4,5,6,7,10,12],[1,4,6,8,10,13,14],[1,4,7,8,11,12,14],[1,5,7,9,10,11,13],[1,6,8,9,12,13,14],[2,3,6,10,11,12,14],[2,3,7,10,12,13,14],[2,4,5,6,9,12,13],[2,4,6,7,9,13,14],[2,4,7,8,9,10,11],[2,5,7,8,10,13,14],[2,6,7,8,9,11,12],[3,4,5,7,8,12,14],[3,4,5,9,11,13,14],[3,4,6,8,10,11,13],[3,5,6,7,8,11,13],[3,5,6,8,9,10,12],[4,5,9,10,11,12,14]]; G[8788]:=Group([(1,11)(2,13)(6,9)(7,14)]); # Design 8789: autom. group order 2, simple, residual B[8789]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,7,9,10,13],[1,3,6,10,12,13,14],[1,3,7,8,10,11,14],[1,4,5,6,8,13,14],[1,4,6,7,10,11,13],[1,4,7,8,9,12,14],[1,5,7,9,11,12,13],[1,6,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,10,12,13,14],[2,4,5,7,8,10,12],[2,4,6,7,11,12,14],[2,4,6,9,10,11,14],[2,5,6,8,10,11,13],[2,7,8,9,11,13,14],[3,4,5,9,10,11,12],[3,4,5,9,11,13,14],[3,4,6,7,8,9,13],[3,5,6,7,8,11,12],[3,5,6,7,9,10,14],[4,5,8,10,12,13,14]]; G[8789]:=Group([(1,6)(2,7)(4,5)(9,11)(10,12)(13,14)]); # Design 8790: autom. group order 2, simple B[8790]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,10,11,14],[1,2,5,7,11,12,13],[1,3,6,8,11,12,14],[1,3,7,10,11,13,14],[1,4,5,6,9,12,14],[1,4,6,7,8,10,12],[1,4,7,9,10,13,14],[1,5,7,8,9,12,13],[1,6,8,9,10,11,13],[2,3,6,8,10,12,13],[2,3,7,9,10,12,14],[2,4,5,7,8,10,11],[2,4,6,7,8,13,14],[2,4,6,9,11,13,14],[2,5,6,9,10,12,13],[2,7,8,9,11,12,14],[3,4,5,8,9,11,13],[3,4,5,10,12,13,14],[3,4,6,7,9,11,12],[3,5,6,7,8,13,14],[3,5,6,7,9,10,11],[4,5,8,10,11,12,14]]; G[8790]:=Group([(1,6)(2,7)(4,5)(8,11)(12,14)]); # Design 8791: autom. group order 2, simple B[8791]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,5,7,10,12,14],[1,3,6,8,9,12,14],[1,3,7,9,10,12,13],[1,4,5,6,9,11,14],[1,4,6,7,8,13,14],[1,4,7,10,11,13,14],[1,5,7,8,9,10,11],[1,6,8,10,11,12,13],[2,3,6,8,10,13,14],[2,3,7,9,11,13,14],[2,4,5,7,8,12,13],[2,4,6,7,8,9,10],[2,4,6,10,11,12,14],[2,5,6,9,10,11,13],[2,7,8,9,11,12,14],[3,4,5,8,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,9,11,12],[3,5,6,7,8,11,13],[3,5,6,7,10,12,14],[4,5,8,9,12,13,14]]; G[8791]:=Group([(1,6)(2,7)(4,5)(8,12)(9,14)]); # Design 8792: autom. group order 2, simple, residual B[8792]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,10,11,14],[1,2,5,7,11,12,13],[1,3,6,8,11,12,14],[1,3,7,10,11,13,14],[1,4,5,6,9,10,13],[1,4,6,7,8,10,12],[1,4,7,8,9,11,14],[1,5,7,8,9,12,13],[1,6,9,10,12,13,14],[2,3,6,8,10,12,13],[2,3,7,9,10,12,14],[2,4,5,7,10,12,14],[2,4,6,7,8,13,14],[2,4,6,9,11,13,14],[2,5,6,8,9,11,12],[2,7,8,9,10,11,13],[3,4,5,8,10,11,13],[3,4,5,9,12,13,14],[3,4,6,7,9,11,12],[3,5,6,7,8,13,14],[3,5,6,7,9,10,11],[4,5,8,10,11,12,14]]; G[8792]:=Group([(1,6)(2,7)(4,5)(8,11)(12,14)]); # Design 8793: autom. group order 2, simple, residual B[8793]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,11,12,14],[1,2,5,7,10,11,13],[1,3,6,8,10,11,12],[1,3,7,10,11,13,14],[1,4,5,6,9,13,14],[1,4,6,7,8,10,14],[1,4,7,8,9,11,12],[1,5,7,8,9,12,13],[1,6,9,10,12,13,14],[2,3,6,8,12,13,14],[2,3,7,9,10,12,14],[2,4,5,7,10,12,14],[2,4,6,7,8,12,13],[2,4,6,9,10,11,13],[2,5,6,8,9,10,11],[2,7,8,9,11,13,14],[3,4,5,8,11,13,14],[3,4,5,9,10,12,13],[3,4,6,7,9,11,14],[3,5,6,7,8,10,13],[3,5,6,7,9,11,12],[4,5,8,10,11,12,14]]; G[8793]:=Group([(1,6)(2,7)(4,5)(8,11)(10,12)]); # Design 8794: autom. group order 2, simple B[8794]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,5,7,9,12,14],[1,3,6,8,10,12,14],[1,3,7,11,12,13,14],[1,4,5,6,9,11,13],[1,4,6,7,8,10,11],[1,4,7,8,9,12,13],[1,5,7,8,10,13,14],[1,6,9,10,11,13,14],[2,3,6,8,9,13,14],[2,3,7,9,10,11,13],[2,4,5,7,10,13,14],[2,4,6,7,8,11,14],[2,4,6,10,12,13,14],[2,5,6,8,11,12,13],[2,7,8,9,10,11,12],[3,4,5,8,10,12,13],[3,4,5,9,10,11,14],[3,4,6,7,9,12,14],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,8,9,11,12,14]]; G[8794]:=Group([(1,6)(2,7)(4,5)(8,12)(9,11)]); # Design 8795: autom. group order 2, simple B[8795]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,5,7,9,10,12],[1,3,6,8,10,12,13],[1,3,7,10,11,12,14],[1,4,5,6,9,11,14],[1,4,6,7,8,11,13],[1,4,7,8,9,12,14],[1,5,7,8,10,13,14],[1,6,9,10,11,13,14],[2,3,6,8,9,10,14],[2,3,7,9,11,13,14],[2,4,5,7,10,13,14],[2,4,6,7,8,10,11],[2,4,6,10,12,13,14],[2,5,6,8,11,12,14],[2,7,8,9,11,12,13],[3,4,5,8,12,13,14],[3,4,5,9,10,11,13],[3,4,6,7,9,12,14],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,8,9,10,11,12]]; G[8795]:=Group([(1,6)(2,7)(4,5)(8,12)(9,11)]); # Design 8796: autom. group order 2, simple B[8796]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,7,9,10,12],[1,3,6,8,10,12,14],[1,3,7,10,11,12,13],[1,4,5,6,9,11,13],[1,4,6,7,8,11,14],[1,4,7,8,9,12,13],[1,5,7,8,10,13,14],[1,6,9,10,11,13,14],[2,3,6,8,9,10,13],[2,3,7,9,11,13,14],[2,4,5,7,10,13,14],[2,4,6,7,8,10,11],[2,4,6,10,12,13,14],[2,5,6,8,11,12,13],[2,7,8,9,11,12,14],[3,4,5,8,12,13,14],[3,4,5,9,10,11,14],[3,4,6,7,9,12,14],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,8,9,10,11,12]]; G[8796]:=Group([(1,6)(2,7)(4,5)(8,12)(9,11)]); # Design 8797: autom. group order 2, simple, residual B[8797]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,5,7,10,12,14],[1,3,6,8,9,12,14],[1,3,7,9,10,11,12],[1,4,5,6,10,11,13],[1,4,6,7,8,10,14],[1,4,7,8,12,13,14],[1,5,7,8,9,11,13],[1,6,9,10,11,13,14],[2,3,6,8,11,13,14],[2,3,7,9,10,13,14],[2,4,5,7,9,11,14],[2,4,6,7,8,9,13],[2,4,6,10,11,12,14],[2,5,6,8,9,10,12],[2,7,8,10,11,12,13],[3,4,5,8,10,12,13],[3,4,5,9,10,13,14],[3,4,6,7,9,11,12],[3,5,6,7,8,10,11],[3,5,6,7,12,13,14],[4,5,8,9,11,12,14]]; G[8797]:=Group([(1,6)(2,7)(4,5)(8,12)(9,14)(10,13)]); # Design 8798: autom. group order 2, simple, residual B[8798]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,5,7,10,12,14],[1,3,6,8,9,12,14],[1,3,7,9,10,12,13],[1,4,5,6,10,11,13],[1,4,6,7,8,13,14],[1,4,7,8,11,12,14],[1,5,7,8,9,10,11],[1,6,9,10,11,13,14],[2,3,6,8,10,13,14],[2,3,7,9,11,13,14],[2,4,5,7,9,13,14],[2,4,6,7,8,9,10],[2,4,6,10,11,12,14],[2,5,6,8,9,11,12],[2,7,8,10,11,12,13],[3,4,5,8,10,12,13],[3,4,5,9,10,11,14],[3,4,6,7,9,11,12],[3,5,6,7,8,11,13],[3,5,6,7,10,12,14],[4,5,8,9,12,13,14]]; G[8798]:=Group([(1,6)(2,7)(4,5)(8,12)(9,14)]); # Design 8799: autom. group order 2, simple, residual B[8799]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,12,13,14],[1,2,5,7,9,10,12],[1,3,6,8,9,12,13],[1,3,7,9,10,12,14],[1,4,5,6,10,11,14],[1,4,6,7,8,9,14],[1,4,7,8,11,12,13],[1,5,7,8,10,11,13],[1,6,9,10,11,13,14],[2,3,6,8,10,13,14],[2,3,7,9,11,13,14],[2,4,5,7,9,13,14],[2,4,6,7,8,10,13],[2,4,6,9,10,11,12],[2,5,6,8,9,11,12],[2,7,8,10,11,12,14],[3,4,5,8,10,12,14],[3,4,5,9,10,11,13],[3,4,6,7,11,12,14],[3,5,6,7,8,9,11],[3,5,6,7,10,12,13],[4,5,8,9,12,13,14]]; G[8799]:=Group([(1,6)(2,7)(4,5)(8,12)(9,13)]); # Design 8800: autom. group order 2, simple, residual B[8800]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,7,9,10,13],[1,3,6,8,10,13,14],[1,3,7,10,11,12,14],[1,4,5,6,8,10,12],[1,4,6,7,11,12,13],[1,4,7,8,9,12,14],[1,5,7,9,10,11,13],[1,6,8,9,11,13,14],[2,3,6,9,10,12,13],[2,3,7,8,9,11,12],[2,4,5,7,8,13,14],[2,4,6,7,10,11,14],[2,4,6,9,10,11,14],[2,5,6,8,11,12,13],[2,7,8,10,12,13,14],[3,4,5,9,11,13,14],[3,4,5,10,12,13,14],[3,4,6,7,8,9,13],[3,5,6,7,8,10,11],[3,5,6,7,9,12,14],[4,5,8,9,10,11,12]]; G[8800]:=Group([(1,6)(2,7)(4,5)(9,11)(13,14)]); # Design 8801: autom. group order 2, simple, residual B[8801]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,5,7,9,10,14],[1,3,6,8,10,12,14],[1,3,7,10,11,13,14],[1,4,5,6,8,13,14],[1,4,6,7,10,11,13],[1,4,7,8,9,12,13],[1,5,7,9,11,12,14],[1,6,8,9,10,11,12],[2,3,6,9,12,13,14],[2,3,7,8,9,11,13],[2,4,5,7,8,10,12],[2,4,6,7,11,12,14],[2,4,6,9,10,11,14],[2,5,6,8,10,11,13],[2,7,8,10,12,13,14],[3,4,5,9,10,11,12],[3,4,5,10,12,13,14],[3,4,6,7,8,9,14],[3,5,6,7,8,11,12],[3,5,6,7,9,10,13],[4,5,8,9,11,13,14]]; G[8801]:=Group([(1,6)(2,7)(4,5)(9,11)(10,12)]); # Design 8802: autom. group order 2, simple, residual B[8802]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,10,13,14],[1,3,6,9,11,13,14],[1,3,7,10,12,13,14],[1,4,5,6,10,11,14],[1,4,6,7,8,12,13],[1,4,7,9,10,11,12],[1,5,7,8,9,12,14],[1,6,8,9,10,11,13],[2,3,6,9,10,12,14],[2,3,7,8,10,11,12],[2,4,5,7,9,11,13],[2,4,6,7,9,10,14],[2,4,6,8,12,13,14],[2,5,6,10,11,12,13],[2,7,8,9,11,13,14],[3,4,5,8,9,10,13],[3,4,5,9,12,13,14],[3,4,6,7,8,11,14],[3,5,6,7,8,10,13],[3,5,6,7,9,11,12],[4,5,8,10,11,12,14]]; G[8802]:=Group([(1,6)(2,7)(4,5)(9,13)]); # Design 8803: autom. group order 2, simple, residual B[8803]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,5,7,9,10,14],[1,3,6,9,11,12,14],[1,3,7,9,10,13,14],[1,4,5,6,10,11,14],[1,4,6,7,8,9,13],[1,4,7,10,11,12,13],[1,5,7,8,12,13,14],[1,6,8,9,10,11,12],[2,3,6,10,12,13,14],[2,3,7,8,10,11,13],[2,4,5,7,9,11,12],[2,4,6,7,10,12,14],[2,4,6,8,9,13,14],[2,5,6,9,10,11,13],[2,7,8,9,11,12,14],[3,4,5,8,9,10,12],[3,4,5,9,12,13,14],[3,4,6,7,8,11,14],[3,5,6,7,8,10,12],[3,5,6,7,9,11,13],[4,5,8,10,11,13,14]]; G[8803]:=Group([(1,6)(2,7)(4,5)(9,12)]); # Design 8804: autom. group order 2, simple, residual B[8804]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,5,7,9,10,14],[1,3,6,9,11,12,14],[1,3,7,9,10,13,14],[1,4,5,6,10,11,14],[1,4,6,7,8,9,13],[1,4,7,8,12,13,14],[1,5,7,10,11,12,13],[1,6,8,9,10,11,12],[2,3,6,10,12,13,14],[2,3,7,8,10,11,13],[2,4,5,7,9,11,12],[2,4,6,7,10,12,14],[2,4,6,9,10,11,13],[2,5,6,8,9,13,14],[2,7,8,9,11,12,14],[3,4,5,8,9,10,12],[3,4,5,9,12,13,14],[3,4,6,7,8,11,14],[3,5,6,7,8,10,12],[3,5,6,7,9,11,13],[4,5,8,10,11,13,14]]; G[8804]:=Group([(1,6)(2,7)(4,5)(9,12)]); # Design 8805: autom. group order 2, simple B[8805]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,10,12,13,14],[1,3,6,7,9,10,11],[1,3,7,8,10,13,14],[1,4,5,6,9,11,13],[1,4,6,7,10,12,13],[1,4,7,8,9,12,14],[1,5,7,9,10,11,14],[1,6,8,11,12,13,14],[2,3,6,9,10,12,14],[2,3,7,9,11,12,13],[2,4,5,7,8,10,13],[2,4,6,7,8,11,14],[2,4,9,10,11,13,14],[2,5,6,7,9,13,14],[2,6,7,8,10,11,12],[3,4,5,6,10,12,14],[3,4,5,7,11,12,14],[3,4,6,8,9,13,14],[3,5,6,8,10,11,13],[3,5,7,8,9,12,13],[4,5,8,9,10,11,12]]; G[8805]:=Group([(1,8)(2,9)(3,12)(4,5)(6,10)(7,11)]); # Design 8806: autom. group order 2, simple B[8806]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,10,12,13,14],[1,3,6,9,10,12,14],[1,3,7,9,11,12,13],[1,4,5,6,7,8,13],[1,4,6,9,11,13,14],[1,4,7,8,10,11,14],[1,5,7,9,10,13,14],[1,6,7,8,10,11,12],[2,3,6,7,9,10,11],[2,3,7,8,10,13,14],[2,4,5,9,10,11,13],[2,4,6,7,10,12,13],[2,4,7,8,9,12,14],[2,5,6,7,9,11,14],[2,6,8,11,12,13,14],[3,4,5,6,10,12,14],[3,4,5,7,11,12,14],[3,4,6,8,9,13,14],[3,5,6,8,10,11,13],[3,5,7,8,9,12,13],[4,5,8,9,10,11,12]]; G[8806]:=Group([(1,9)(2,8)(3,12)(4,5)(6,10)(7,11)]); # Design 8807: autom. group order 2, simple B[8807]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,8,9,11],[1,2,5,10,11,12,13],[1,3,6,9,10,11,14],[1,3,7,9,12,13,14],[1,4,5,7,9,10,12],[1,4,6,7,10,13,14],[1,4,6,8,11,12,14],[1,5,8,9,12,13,14],[1,6,7,8,10,11,13],[2,3,6,9,10,12,13],[2,3,7,8,10,12,14],[2,4,6,7,8,12,13],[2,4,7,9,10,11,14],[2,4,8,9,11,13,14],[2,5,6,7,9,13,14],[2,5,6,10,11,12,14],[3,4,5,6,9,11,13],[3,4,5,7,11,12,14],[3,4,5,8,10,13,14],[3,5,7,8,10,11,13],[3,6,7,8,9,11,12],[4,5,6,8,9,10,12]]; G[8807]:=Group([(1,5)(3,6)(4,14)(7,8)(10,13)]); # Design 8808: autom. group order 2, simple B[8808]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,8,9,11],[1,2,5,10,11,12,13],[1,3,6,9,10,11,14],[1,3,7,9,12,13,14],[1,4,5,7,9,10,12],[1,4,6,7,11,12,14],[1,4,6,8,10,13,14],[1,5,8,9,12,13,14],[1,6,7,8,10,11,13],[2,3,6,9,10,12,13],[2,3,7,8,10,12,14],[2,4,6,7,8,12,13],[2,4,7,9,10,11,14],[2,4,8,9,11,13,14],[2,5,6,7,9,13,14],[2,5,6,10,11,12,14],[3,4,5,6,9,11,13],[3,4,5,7,10,13,14],[3,4,5,8,11,12,14],[3,5,7,8,10,11,13],[3,6,7,8,9,11,12],[4,5,6,8,9,10,12]]; G[8808]:=Group([(1,5)(3,6)(4,14)(7,8)(10,13)]); # Design 8809: autom. group order 2, simple, residual B[8809]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,9,10,13],[1,3,7,9,12,13,14],[1,4,5,7,8,10,12],[1,4,6,7,10,11,14],[1,4,6,8,9,11,14],[1,5,8,10,12,13,14],[1,6,7,8,11,12,13],[2,3,6,10,11,12,14],[2,3,7,8,10,13,14],[2,4,6,8,12,13,14],[2,4,7,8,9,11,13],[2,4,7,9,10,12,14],[2,5,6,7,8,9,12],[2,5,6,7,10,11,13],[3,4,5,6,9,12,13],[3,4,5,7,11,12,14],[3,4,5,8,10,11,13],[3,5,7,8,9,11,14],[3,6,8,9,10,11,12],[4,5,6,9,10,13,14]]; G[8809]:=Group([(1,5)(3,6)(4,7)(10,12)]); # Design 8810: autom. group order 2, simple, residual B[8810]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,9,12,13],[1,3,7,9,10,13,14],[1,4,5,7,8,10,12],[1,4,6,7,11,12,14],[1,4,6,8,9,11,14],[1,5,8,10,12,13,14],[1,6,7,8,10,11,13],[2,3,6,10,11,12,14],[2,3,7,8,12,13,14],[2,4,6,8,10,13,14],[2,4,7,8,9,11,13],[2,4,7,9,10,12,14],[2,5,6,7,8,9,12],[2,5,6,7,10,11,13],[3,4,5,6,9,10,13],[3,4,5,7,10,11,14],[3,4,5,8,11,12,13],[3,5,7,8,9,11,14],[3,6,8,9,10,11,12],[4,5,6,9,12,13,14]]; G[8810]:=Group([(1,5)(3,6)(4,7)(10,12)]); # Design 8811: autom. group order 2, simple, residual B[8811]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,9,10,13],[1,3,7,9,12,13,14],[1,4,5,7,8,10,12],[1,4,6,7,11,12,14],[1,4,6,8,10,11,13],[1,5,8,10,12,13,14],[1,6,7,8,9,11,14],[2,3,6,10,11,12,14],[2,3,7,8,10,13,14],[2,4,6,8,12,13,14],[2,4,7,8,9,11,13],[2,4,7,9,10,12,14],[2,5,6,7,8,9,12],[2,5,6,7,10,11,13],[3,4,5,6,9,12,13],[3,4,5,7,10,11,14],[3,4,5,8,9,11,14],[3,5,7,8,11,12,13],[3,6,8,9,10,11,12],[4,5,6,9,10,13,14]]; G[8811]:=Group([(1,5)(3,6)(4,7)(10,12)]); # Design 8812: autom. group order 2, simple, residual B[8812]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,9,12,13],[1,3,7,9,10,13,14],[1,4,5,7,8,10,12],[1,4,6,7,10,11,14],[1,4,6,8,11,12,13],[1,5,8,10,12,13,14],[1,6,7,8,9,11,14],[2,3,6,10,11,12,14],[2,3,7,8,12,13,14],[2,4,6,8,10,13,14],[2,4,7,8,9,11,13],[2,4,7,9,10,12,14],[2,5,6,7,8,9,12],[2,5,6,7,10,11,13],[3,4,5,6,9,10,13],[3,4,5,7,11,12,14],[3,4,5,8,9,11,14],[3,5,7,8,10,11,13],[3,6,8,9,10,11,12],[4,5,6,9,12,13,14]]; G[8812]:=Group([(1,5)(3,6)(4,7)(10,12)]); # Design 8813: autom. group order 2, simple, residual B[8813]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,9,12,13],[1,3,7,8,9,10,11],[1,4,5,7,10,12,14],[1,4,6,7,9,12,14],[1,4,6,8,11,13,14],[1,5,8,10,12,13,14],[1,6,7,8,10,11,13],[2,3,6,10,12,13,14],[2,3,7,8,11,12,14],[2,4,6,8,9,10,14],[2,4,7,8,10,12,13],[2,4,7,9,11,13,14],[2,5,6,7,8,11,12],[2,5,6,7,9,10,13],[3,4,5,6,10,11,13],[3,4,5,7,10,11,14],[3,4,5,8,9,12,13],[3,5,7,8,9,13,14],[3,6,9,10,11,12,14],[4,5,6,8,9,11,12]]; G[8813]:=Group([(1,5)(3,6)(4,7)(9,11)(10,12)]); # Design 8814: autom. group order 2, simple, residual B[8814]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,9,12,13],[1,3,7,8,10,11,13],[1,4,5,7,10,12,14],[1,4,6,7,9,10,14],[1,4,6,8,9,11,12],[1,5,8,10,12,13,14],[1,6,7,8,11,13,14],[2,3,6,10,12,13,14],[2,3,7,8,9,12,14],[2,4,6,8,10,11,14],[2,4,7,8,10,12,13],[2,4,7,9,11,13,14],[2,5,6,7,8,11,12],[2,5,6,7,9,10,13],[3,4,5,6,10,11,13],[3,4,5,7,11,12,14],[3,4,5,8,9,13,14],[3,5,7,8,9,10,11],[3,6,9,10,11,12,14],[4,5,6,8,9,12,13]]; G[8814]:=Group([(1,5)(3,6)(4,7)(9,11)(10,12)]); # Design 8815: autom. group order 2, simple, residual B[8815]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,9,12,13],[1,3,7,8,11,13,14],[1,4,5,7,10,12,14],[1,4,6,7,9,12,14],[1,4,6,8,9,10,11],[1,5,8,10,12,13,14],[1,6,7,8,10,11,13],[2,3,6,10,12,13,14],[2,3,7,8,9,10,14],[2,4,6,8,11,12,14],[2,4,7,8,10,12,13],[2,4,7,9,11,13,14],[2,5,6,7,8,11,12],[2,5,6,7,9,10,13],[3,4,5,6,10,11,13],[3,4,5,7,10,11,14],[3,4,5,8,9,12,13],[3,5,7,8,9,11,12],[3,6,9,10,11,12,14],[4,5,6,8,9,13,14]]; G[8815]:=Group([(1,5)(3,6)(4,7)(9,11)(10,12)]); # Design 8816: autom. group order 2, simple, residual B[8816]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,9,12,13],[1,3,7,8,10,11,13],[1,4,5,7,10,12,14],[1,4,6,7,11,12,14],[1,4,6,8,9,13,14],[1,5,8,10,12,13,14],[1,6,7,8,9,10,11],[2,3,6,10,12,13,14],[2,3,7,8,9,12,14],[2,4,6,8,10,11,14],[2,4,7,8,10,12,13],[2,4,7,9,11,13,14],[2,5,6,7,8,11,12],[2,5,6,7,9,10,13],[3,4,5,6,10,11,13],[3,4,5,7,9,10,14],[3,4,5,8,9,11,12],[3,5,7,8,11,13,14],[3,6,9,10,11,12,14],[4,5,6,8,9,12,13]]; G[8816]:=Group([(1,5)(3,6)(4,7)(9,11)(10,12)]); # Design 8817: autom. group order 2, simple, residual B[8817]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,10,11,13],[1,3,7,8,9,12,13],[1,4,5,7,10,12,14],[1,4,6,7,9,10,14],[1,4,6,8,11,13,14],[1,5,8,10,12,13,14],[1,6,7,8,9,11,12],[2,3,6,10,12,13,14],[2,3,7,8,10,11,14],[2,4,6,8,9,12,14],[2,4,7,8,10,12,13],[2,4,7,9,11,13,14],[2,5,6,7,8,11,12],[2,5,6,7,9,10,13],[3,4,5,6,9,12,13],[3,4,5,7,11,12,14],[3,4,5,8,9,10,11],[3,5,7,8,9,13,14],[3,6,9,10,11,12,14],[4,5,6,8,10,11,13]]; G[8817]:=Group([(1,5)(3,6)(4,7)(9,11)(10,12)]); # Design 8818: autom. group order 2, simple, residual B[8818]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,10,11,13],[1,3,7,8,9,11,12],[1,4,5,7,10,12,14],[1,4,6,7,10,11,14],[1,4,6,8,9,13,14],[1,5,8,10,12,13,14],[1,6,7,8,9,12,13],[2,3,6,10,12,13,14],[2,3,7,8,9,10,14],[2,4,6,8,11,12,14],[2,4,7,8,10,12,13],[2,4,7,9,11,13,14],[2,5,6,7,8,11,12],[2,5,6,7,9,10,13],[3,4,5,6,9,12,13],[3,4,5,7,9,12,14],[3,4,5,8,10,11,13],[3,5,7,8,11,13,14],[3,6,9,10,11,12,14],[4,5,6,8,9,10,11]]; G[8818]:=Group([(1,5)(3,6)(4,7)(9,11)(10,12)]); # Design 8819: autom. group order 2, simple, residual B[8819]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,10,11,13],[1,3,7,8,9,12,13],[1,4,5,7,10,12,14],[1,4,6,7,11,12,14],[1,4,6,8,9,10,11],[1,5,8,10,12,13,14],[1,6,7,8,9,13,14],[2,3,6,10,12,13,14],[2,3,7,8,10,11,14],[2,4,6,8,9,12,14],[2,4,7,8,10,12,13],[2,4,7,9,11,13,14],[2,5,6,7,8,11,12],[2,5,6,7,9,10,13],[3,4,5,6,9,12,13],[3,4,5,7,9,10,14],[3,4,5,8,11,13,14],[3,5,7,8,9,11,12],[3,6,9,10,11,12,14],[4,5,6,8,10,11,13]]; G[8819]:=Group([(1,5)(3,6)(4,7)(9,11)(10,12)]); # Design 8820: autom. group order 2, simple B[8820]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,9,10,14],[1,3,7,8,9,11,12],[1,4,5,7,10,12,14],[1,4,6,7,9,12,13],[1,4,6,8,10,11,13],[1,5,8,10,12,13,14],[1,6,7,8,11,13,14],[2,3,6,8,10,12,13],[2,3,7,10,11,13,14],[2,4,6,9,12,13,14],[2,4,7,8,9,11,14],[2,4,7,8,10,12,14],[2,5,6,7,8,11,12],[2,5,6,7,9,10,13],[3,4,5,6,11,12,14],[3,4,5,7,10,11,13],[3,4,5,8,9,13,14],[3,5,7,8,9,12,13],[3,6,9,10,11,12,14],[4,5,6,8,9,10,11]]; G[8820]:=Group([(1,5)(3,6)(4,7)(9,11)(10,12)]); # Design 8821: autom. group order 2, simple B[8821]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,9,12,13],[1,3,7,8,9,10,11],[1,4,5,7,10,12,14],[1,4,6,7,9,12,14],[1,4,6,8,11,13,14],[1,5,8,10,12,13,14],[1,6,7,8,10,11,13],[2,3,6,8,10,12,14],[2,3,7,11,12,13,14],[2,4,6,9,10,13,14],[2,4,7,8,9,11,14],[2,4,7,8,10,12,13],[2,5,6,7,8,11,12],[2,5,6,7,9,10,13],[3,4,5,6,10,11,13],[3,4,5,7,10,11,14],[3,4,5,8,9,12,13],[3,5,7,8,9,13,14],[3,6,9,10,11,12,14],[4,5,6,8,9,11,12]]; G[8821]:=Group([(1,5)(3,6)(4,7)(9,11)(10,12)]); # Design 8822: autom. group order 2, simple B[8822]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,11,12,14],[1,3,7,8,9,13,14],[1,4,5,7,10,12,14],[1,4,6,7,9,12,13],[1,4,6,8,10,11,13],[1,5,8,10,12,13,14],[1,6,7,8,9,10,11],[2,3,6,8,10,12,13],[2,3,7,10,11,13,14],[2,4,6,9,12,13,14],[2,4,7,8,9,11,14],[2,4,7,8,10,12,14],[2,5,6,7,8,11,12],[2,5,6,7,9,10,13],[3,4,5,6,9,10,14],[3,4,5,7,10,11,13],[3,4,5,8,9,11,12],[3,5,7,8,9,12,13],[3,6,9,10,11,12,14],[4,5,6,8,11,13,14]]; G[8822]:=Group([(1,5)(3,6)(4,7)(9,11)(10,12)]); # Design 8823: autom. group order 2, simple B[8823]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,10,11,14],[1,3,7,8,9,11,12],[1,4,5,7,10,12,14],[1,4,6,7,10,11,13],[1,4,6,8,9,13,14],[1,5,8,10,12,13,14],[1,6,7,8,9,12,13],[2,3,6,8,10,12,13],[2,3,7,9,10,13,14],[2,4,6,11,12,13,14],[2,4,7,8,9,11,14],[2,4,7,8,10,12,14],[2,5,6,7,8,11,12],[2,5,6,7,9,10,13],[3,4,5,6,9,12,14],[3,4,5,7,9,12,13],[3,4,5,8,10,11,13],[3,5,7,8,11,13,14],[3,6,9,10,11,12,14],[4,5,6,8,9,10,11]]; G[8823]:=Group([(1,5)(3,6)(4,7)(9,11)(10,12)]); # Design 8824: autom. group order 2, simple B[8824]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,11,12,14],[1,3,7,8,9,10,11],[1,4,5,7,10,12,14],[1,4,6,7,10,11,13],[1,4,6,8,9,12,13],[1,5,8,10,12,13,14],[1,6,7,8,9,13,14],[2,3,6,8,10,12,13],[2,3,7,9,12,13,14],[2,4,6,10,11,13,14],[2,4,7,8,9,11,14],[2,4,7,8,10,12,14],[2,5,6,7,8,11,12],[2,5,6,7,9,10,13],[3,4,5,6,9,10,14],[3,4,5,7,9,12,13],[3,4,5,8,11,13,14],[3,5,7,8,10,11,13],[3,6,9,10,11,12,14],[4,5,6,8,9,11,12]]; G[8824]:=Group([(1,5)(3,6)(4,7)(9,11)(10,12)]); # Design 8825: autom. group order 2, simple B[8825]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,10,11,13],[1,3,7,8,9,13,14],[1,4,5,7,10,12,14],[1,4,6,7,10,11,14],[1,4,6,8,9,11,12],[1,5,8,10,12,13,14],[1,6,7,8,9,12,13],[2,3,6,8,10,12,14],[2,3,7,11,12,13,14],[2,4,6,9,10,13,14],[2,4,7,8,9,11,14],[2,4,7,8,10,12,13],[2,5,6,7,8,11,12],[2,5,6,7,9,10,13],[3,4,5,6,9,12,13],[3,4,5,7,9,12,14],[3,4,5,8,10,11,13],[3,5,7,8,9,10,11],[3,6,9,10,11,12,14],[4,5,6,8,11,13,14]]; G[8825]:=Group([(1,5)(3,6)(4,7)(9,11)(10,12)]); # Design 8826: autom. group order 2, simple B[8826]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,10,11,13],[1,3,7,8,9,12,13],[1,4,5,7,10,12,14],[1,4,6,7,11,12,14],[1,4,6,8,9,10,11],[1,5,8,10,12,13,14],[1,6,7,8,9,13,14],[2,3,6,8,10,12,14],[2,3,7,10,11,13,14],[2,4,6,9,12,13,14],[2,4,7,8,9,11,14],[2,4,7,8,10,12,13],[2,5,6,7,8,11,12],[2,5,6,7,9,10,13],[3,4,5,6,9,12,13],[3,4,5,7,9,10,14],[3,4,5,8,11,13,14],[3,5,7,8,9,11,12],[3,6,9,10,11,12,14],[4,5,6,8,10,11,13]]; G[8826]:=Group([(1,5)(3,6)(4,7)(9,11)(10,12)]); # Design 8827: autom. group order 2, simple, residual B[8827]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,9,10,13],[1,3,7,8,9,11,14],[1,4,5,7,8,10,12],[1,4,6,7,10,11,14],[1,4,6,9,12,13,14],[1,5,8,10,12,13,14],[1,6,7,8,11,12,13],[2,3,6,10,11,12,14],[2,3,7,8,12,13,14],[2,4,6,8,10,13,14],[2,4,7,8,9,11,13],[2,4,7,9,10,12,14],[2,5,6,7,8,9,12],[2,5,6,7,10,11,13],[3,4,5,6,9,12,13],[3,4,5,7,11,12,14],[3,4,5,8,10,11,13],[3,5,7,9,10,13,14],[3,6,8,9,10,11,12],[4,5,6,8,9,11,14]]; G[8827]:=Group([(1,5)(3,6)(4,7)(10,12)]); # Design 8828: autom. group order 2, simple, residual B[8828]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,9,12,13],[1,3,7,8,9,11,14],[1,4,5,7,8,10,12],[1,4,6,7,11,12,14],[1,4,6,9,10,13,14],[1,5,8,10,12,13,14],[1,6,7,8,10,11,13],[2,3,6,10,11,12,14],[2,3,7,8,10,13,14],[2,4,6,8,12,13,14],[2,4,7,8,9,11,13],[2,4,7,9,10,12,14],[2,5,6,7,8,9,12],[2,5,6,7,10,11,13],[3,4,5,6,9,10,13],[3,4,5,7,10,11,14],[3,4,5,8,11,12,13],[3,5,7,9,12,13,14],[3,6,8,9,10,11,12],[4,5,6,8,9,11,14]]; G[8828]:=Group([(1,5)(3,6)(4,7)(10,12)]); # Design 8829: autom. group order 2, simple, residual B[8829]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,9,10,13],[1,3,7,8,11,12,13],[1,4,5,7,8,10,12],[1,4,6,7,11,12,14],[1,4,6,9,10,13,14],[1,5,8,10,12,13,14],[1,6,7,8,9,11,14],[2,3,6,10,11,12,14],[2,3,7,8,10,13,14],[2,4,6,8,12,13,14],[2,4,7,8,9,11,13],[2,4,7,9,10,12,14],[2,5,6,7,8,9,12],[2,5,6,7,10,11,13],[3,4,5,6,9,12,13],[3,4,5,7,10,11,14],[3,4,5,8,9,11,14],[3,5,7,9,12,13,14],[3,6,8,9,10,11,12],[4,5,6,8,10,11,13]]; G[8829]:=Group([(1,5)(3,6)(4,7)(10,12)]); # Design 8830: autom. group order 2, simple, residual B[8830]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,9,12,13],[1,3,7,8,10,11,13],[1,4,5,7,8,10,12],[1,4,6,7,10,11,14],[1,4,6,9,12,13,14],[1,5,8,10,12,13,14],[1,6,7,8,9,11,14],[2,3,6,10,11,12,14],[2,3,7,8,12,13,14],[2,4,6,8,10,13,14],[2,4,7,8,9,11,13],[2,4,7,9,10,12,14],[2,5,6,7,8,9,12],[2,5,6,7,10,11,13],[3,4,5,6,9,10,13],[3,4,5,7,11,12,14],[3,4,5,8,9,11,14],[3,5,7,9,10,13,14],[3,6,8,9,10,11,12],[4,5,6,8,11,12,13]]; G[8830]:=Group([(1,5)(3,6)(4,7)(10,12)]); # Design 8831: autom. group order 2, simple, residual B[8831]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,9,10,13],[1,3,7,8,10,11,12],[1,4,5,7,8,12,13],[1,4,6,7,11,12,14],[1,4,6,9,10,13,14],[1,5,8,10,12,13,14],[1,6,7,8,9,11,14],[2,3,6,8,12,13,14],[2,3,7,9,10,12,14],[2,4,6,10,11,12,14],[2,4,7,8,9,11,13],[2,4,7,8,10,13,14],[2,5,6,7,8,10,11],[2,5,6,7,9,12,13],[3,4,5,6,10,11,13],[3,4,5,7,9,12,14],[3,4,5,8,9,11,14],[3,5,7,10,11,13,14],[3,6,8,9,11,12,13],[4,5,6,8,9,10,12]]; G[8831]:=Group([(1,5)(3,6)(4,7)(9,11)]); # Design 8832: autom. group order 2, simple, residual B[8832]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,9,10,13],[1,3,7,8,11,12,13],[1,4,5,7,8,10,12],[1,4,6,7,11,12,14],[1,4,6,9,10,13,14],[1,5,8,10,12,13,14],[1,6,7,8,9,11,14],[2,3,6,8,12,13,14],[2,3,7,9,10,12,14],[2,4,6,10,11,12,14],[2,4,7,8,9,11,13],[2,4,7,8,10,13,14],[2,5,6,7,8,10,11],[2,5,6,7,9,12,13],[3,4,5,6,10,11,13],[3,4,5,7,9,12,14],[3,4,5,8,9,11,14],[3,5,7,10,11,13,14],[3,6,8,9,10,11,12],[4,5,6,8,9,12,13]]; G[8832]:=Group([(1,5)(3,6)(4,7)(9,11)]); # Design 8833: autom. group order 2, simple, residual B[8833]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,10,11,13],[1,3,7,8,9,10,12],[1,4,5,7,8,12,13],[1,4,6,7,9,12,14],[1,4,6,10,11,13,14],[1,5,8,10,12,13,14],[1,6,7,8,9,11,14],[2,3,6,8,12,13,14],[2,3,7,10,11,12,14],[2,4,6,9,10,12,14],[2,4,7,8,9,11,13],[2,4,7,8,10,13,14],[2,5,6,7,8,10,11],[2,5,6,7,9,12,13],[3,4,5,6,9,10,13],[3,4,5,7,11,12,14],[3,4,5,8,9,11,14],[3,5,7,9,10,13,14],[3,6,8,9,11,12,13],[4,5,6,8,10,11,12]]; G[8833]:=Group([(1,5)(3,6)(4,7)(9,11)]); # Design 8834: autom. group order 2, simple, residual B[8834]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,10,11,13],[1,3,7,8,9,12,13],[1,4,5,7,8,10,12],[1,4,6,7,9,12,14],[1,4,6,10,11,13,14],[1,5,8,10,12,13,14],[1,6,7,8,9,11,14],[2,3,6,8,12,13,14],[2,3,7,10,11,12,14],[2,4,6,9,10,12,14],[2,4,7,8,9,11,13],[2,4,7,8,10,13,14],[2,5,6,7,8,10,11],[2,5,6,7,9,12,13],[3,4,5,6,9,10,13],[3,4,5,7,11,12,14],[3,4,5,8,9,11,14],[3,5,7,9,10,13,14],[3,6,8,9,10,11,12],[4,5,6,8,11,12,13]]; G[8834]:=Group([(1,5)(3,6)(4,7)(9,11)]); # Design 8835: autom. group order 2, simple, residual B[8835]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,9,10,13],[1,3,7,8,9,11,14],[1,4,5,7,8,10,12],[1,4,6,7,10,11,14],[1,4,6,8,11,12,13],[1,5,8,10,12,13,14],[1,6,7,9,12,13,14],[2,3,6,10,11,12,14],[2,3,7,8,12,13,14],[2,4,6,8,10,13,14],[2,4,7,8,9,11,13],[2,4,7,9,10,12,14],[2,5,6,7,8,9,12],[2,5,6,7,10,11,13],[3,4,5,6,9,12,13],[3,4,5,7,11,12,14],[3,4,5,9,10,13,14],[3,5,7,8,10,11,13],[3,6,8,9,10,11,12],[4,5,6,8,9,11,14]]; G[8835]:=Group([(1,5)(3,6)(4,7)(10,12)]); # Design 8836: autom. group order 2, simple, residual B[8836]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,9,12,13],[1,3,7,8,9,11,14],[1,4,5,7,8,10,12],[1,4,6,7,11,12,14],[1,4,6,8,10,11,13],[1,5,8,10,12,13,14],[1,6,7,9,10,13,14],[2,3,6,10,11,12,14],[2,3,7,8,10,13,14],[2,4,6,8,12,13,14],[2,4,7,8,9,11,13],[2,4,7,9,10,12,14],[2,5,6,7,8,9,12],[2,5,6,7,10,11,13],[3,4,5,6,9,10,13],[3,4,5,7,10,11,14],[3,4,5,9,12,13,14],[3,5,7,8,11,12,13],[3,6,8,9,10,11,12],[4,5,6,8,9,11,14]]; G[8836]:=Group([(1,5)(3,6)(4,7)(10,12)]); # Design 8837: autom. group order 2, simple, residual B[8837]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,9,12,13],[1,3,7,8,10,11,13],[1,4,5,7,8,10,12],[1,4,6,7,11,12,14],[1,4,6,8,9,11,14],[1,5,8,10,12,13,14],[1,6,7,9,10,13,14],[2,3,6,10,11,12,14],[2,3,7,8,12,13,14],[2,4,6,8,10,13,14],[2,4,7,8,9,11,13],[2,4,7,9,10,12,14],[2,5,6,7,8,9,12],[2,5,6,7,10,11,13],[3,4,5,6,9,10,13],[3,4,5,7,10,11,14],[3,4,5,9,12,13,14],[3,5,7,8,9,11,14],[3,6,8,9,10,11,12],[4,5,6,8,11,12,13]]; G[8837]:=Group([(1,5)(3,6)(4,7)(10,12)]); # Design 8838: autom. group order 2, simple, residual B[8838]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,9,10,13],[1,3,7,8,10,11,12],[1,4,5,7,8,12,13],[1,4,6,7,9,12,14],[1,4,6,8,9,11,14],[1,5,8,10,12,13,14],[1,6,7,10,11,13,14],[2,3,6,8,12,13,14],[2,3,7,9,10,12,14],[2,4,6,10,11,12,14],[2,4,7,8,9,11,13],[2,4,7,8,10,13,14],[2,5,6,7,8,10,11],[2,5,6,7,9,12,13],[3,4,5,6,10,11,13],[3,4,5,7,11,12,14],[3,4,5,9,10,13,14],[3,5,7,8,9,11,14],[3,6,8,9,11,12,13],[4,5,6,8,9,10,12]]; G[8838]:=Group([(1,5)(3,6)(4,7)(9,11)]); # Design 8839: autom. group order 2, simple, residual B[8839]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,10,11,13],[1,3,7,8,9,10,12],[1,4,5,7,8,12,13],[1,4,6,7,11,12,14],[1,4,6,8,9,11,14],[1,5,8,10,12,13,14],[1,6,7,9,10,13,14],[2,3,6,8,12,13,14],[2,3,7,10,11,12,14],[2,4,6,9,10,12,14],[2,4,7,8,9,11,13],[2,4,7,8,10,13,14],[2,5,6,7,8,10,11],[2,5,6,7,9,12,13],[3,4,5,6,9,10,13],[3,4,5,7,9,12,14],[3,4,5,10,11,13,14],[3,5,7,8,9,11,14],[3,6,8,9,11,12,13],[4,5,6,8,10,11,12]]; G[8839]:=Group([(1,5)(3,6)(4,7)(9,11)]); # Design 8840: autom. group order 2, simple, residual B[8840]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,5,9,11,13,14],[1,3,6,7,10,11,13],[1,3,7,8,9,12,13],[1,4,5,7,8,10,12],[1,4,6,7,11,12,14],[1,4,6,8,9,11,14],[1,5,8,10,12,13,14],[1,6,7,9,10,13,14],[2,3,6,8,12,13,14],[2,3,7,10,11,12,14],[2,4,6,9,10,12,14],[2,4,7,8,9,11,13],[2,4,7,8,10,13,14],[2,5,6,7,8,10,11],[2,5,6,7,9,12,13],[3,4,5,6,9,10,13],[3,4,5,7,9,12,14],[3,4,5,10,11,13,14],[3,5,7,8,9,11,14],[3,6,8,9,10,11,12],[4,5,6,8,11,12,13]]; G[8840]:=Group([(1,5)(3,6)(4,7)(9,11)]); # Design 8841: autom. group order 2, simple, residual B[8841]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,8,9,11,14],[1,2,5,10,11,12,13],[1,3,6,7,10,12,14],[1,3,7,9,11,12,14],[1,4,5,7,9,10,13],[1,4,6,7,8,10,11],[1,4,6,9,11,13,14],[1,5,8,10,12,13,14],[1,6,7,8,9,12,13],[2,3,6,9,10,11,13],[2,3,7,8,9,12,13],[2,4,6,9,10,12,14],[2,4,7,8,10,13,14],[2,4,7,8,11,12,14],[2,5,6,7,9,13,14],[2,5,6,7,10,11,12],[3,4,5,6,8,12,13],[3,4,5,7,11,13,14],[3,4,5,9,10,12,14],[3,5,7,8,9,10,11],[3,6,8,10,11,13,14],[4,5,6,8,9,11,12]]; G[8841]:=Group([(1,5)(3,6)(4,7)(8,14)(10,13)]); # Design 8842: autom. group order 2, simple, residual B[8842]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,8,9,11,14],[1,2,5,10,11,12,13],[1,3,6,7,10,12,14],[1,3,7,9,12,13,14],[1,4,5,7,9,10,13],[1,4,6,7,8,11,13],[1,4,6,9,10,11,14],[1,5,8,10,12,13,14],[1,6,7,8,9,11,12],[2,3,6,9,10,11,13],[2,3,7,8,9,10,12],[2,4,6,9,12,13,14],[2,4,7,8,10,13,14],[2,4,7,8,11,12,14],[2,5,6,7,9,13,14],[2,5,6,7,10,11,12],[3,4,5,6,8,12,13],[3,4,5,7,10,11,14],[3,4,5,9,11,12,14],[3,5,7,8,9,11,13],[3,6,8,10,11,13,14],[4,5,6,8,9,10,12]]; G[8842]:=Group([(1,5)(3,6)(4,7)(8,14)(10,13)]); # Design 8843: autom. group order 2, simple, residual B[8843]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,8,9,11,12],[1,2,5,10,11,13,14],[1,3,6,7,9,13,14],[1,3,7,8,10,11,12],[1,4,5,7,9,12,14],[1,4,6,7,9,10,11],[1,4,6,8,11,13,14],[1,5,9,10,12,13,14],[1,6,7,8,10,12,13],[2,3,6,9,10,12,13],[2,3,7,9,11,13,14],[2,4,6,10,11,12,14],[2,4,7,8,9,12,14],[2,4,7,8,10,13,14],[2,5,6,7,8,12,13],[2,5,6,7,9,10,11],[3,4,5,6,10,12,14],[3,4,5,7,11,12,13],[3,4,5,8,9,10,13],[3,5,7,8,10,11,14],[3,6,8,9,11,12,14],[4,5,6,8,9,11,13]]; G[8843]:=Group([(1,5)(3,6)(4,7)(9,12)(10,13)]); # Design 8844: autom. group order 2, simple, residual B[8844]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,8,9,11,12],[1,2,5,10,11,13,14],[1,3,6,7,9,13,14],[1,3,7,8,10,12,13],[1,4,5,7,9,12,14],[1,4,6,7,9,11,13],[1,4,6,8,10,11,14],[1,5,9,10,12,13,14],[1,6,7,8,10,11,12],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,6,11,12,13,14],[2,4,7,8,9,12,14],[2,4,7,8,10,13,14],[2,5,6,7,8,12,13],[2,5,6,7,9,10,11],[3,4,5,6,10,12,14],[3,4,5,7,10,11,12],[3,4,5,8,9,11,13],[3,5,7,8,11,13,14],[3,6,8,9,11,12,14],[4,5,6,8,9,10,13]]; G[8844]:=Group([(1,5)(3,6)(4,7)(9,12)(10,13)]); # Design 8845: autom. group order 2, simple, residual B[8845]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,8,9,11,12],[1,2,5,10,11,13,14],[1,3,6,7,9,10,14],[1,3,7,8,10,12,13],[1,4,5,7,9,12,14],[1,4,6,7,10,11,12],[1,4,6,8,9,11,13],[1,5,9,10,12,13,14],[1,6,7,8,11,13,14],[2,3,6,9,10,12,13],[2,3,7,9,11,13,14],[2,4,6,10,11,12,14],[2,4,7,8,9,12,14],[2,4,7,8,10,13,14],[2,5,6,7,8,12,13],[2,5,6,7,9,10,11],[3,4,5,6,12,13,14],[3,4,5,7,9,11,13],[3,4,5,8,10,11,14],[3,5,7,8,10,11,12],[3,6,8,9,11,12,14],[4,5,6,8,9,10,13]]; G[8845]:=Group([(1,5)(3,6)(4,7)(9,12)(10,13)]); # Design 8846: autom. group order 2, simple, residual B[8846]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,8,9,11,12],[1,2,5,10,11,13,14],[1,3,6,7,9,13,14],[1,3,7,8,10,11,12],[1,4,5,7,9,12,14],[1,4,6,7,11,12,13],[1,4,6,8,9,10,13],[1,5,9,10,12,13,14],[1,6,7,8,10,11,14],[2,3,6,9,10,12,13],[2,3,7,9,11,13,14],[2,4,6,10,11,12,14],[2,4,7,8,9,12,14],[2,4,7,8,10,13,14],[2,5,6,7,8,12,13],[2,5,6,7,9,10,11],[3,4,5,6,10,12,14],[3,4,5,7,9,10,11],[3,4,5,8,11,13,14],[3,5,7,8,10,12,13],[3,6,8,9,11,12,14],[4,5,6,8,9,11,13]]; G[8846]:=Group([(1,5)(3,6)(4,7)(9,12)(10,13)]); # Design 8847: autom. group order 2, simple, residual B[8847]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,8,9,11,12],[1,2,5,10,11,13,14],[1,3,6,7,12,13,14],[1,3,7,8,9,10,13],[1,4,5,7,9,12,14],[1,4,6,7,9,11,13],[1,4,6,8,10,11,12],[1,5,9,10,12,13,14],[1,6,7,8,10,11,14],[2,3,6,9,10,12,13],[2,3,7,10,11,12,14],[2,4,6,9,11,13,14],[2,4,7,8,9,12,14],[2,4,7,8,10,13,14],[2,5,6,7,8,12,13],[2,5,6,7,9,10,11],[3,4,5,6,9,10,14],[3,4,5,7,10,11,12],[3,4,5,8,11,13,14],[3,5,7,8,9,11,13],[3,6,8,9,11,12,14],[4,5,6,8,10,12,13]]; G[8847]:=Group([(1,5)(3,6)(4,7)(9,12)(10,13)]); # Design 8848: autom. group order 2, simple, residual B[8848]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,8,9,11,12],[1,2,5,10,11,13,14],[1,3,6,7,12,13,14],[1,3,7,8,10,11,14],[1,4,5,7,9,12,14],[1,4,6,7,10,11,12],[1,4,6,8,9,11,13],[1,5,9,10,12,13,14],[1,6,7,8,9,10,13],[2,3,6,9,10,12,13],[2,3,7,9,11,13,14],[2,4,6,10,11,12,14],[2,4,7,8,9,12,14],[2,4,7,8,10,13,14],[2,5,6,7,8,12,13],[2,5,6,7,9,10,11],[3,4,5,6,9,10,14],[3,4,5,7,9,11,13],[3,4,5,8,10,12,13],[3,5,7,8,10,11,12],[3,6,8,9,11,12,14],[4,5,6,8,11,13,14]]; G[8848]:=Group([(1,5)(3,6)(4,7)(9,12)(10,13)]); # Design 8849: autom. group order 2, simple, residual B[8849]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,5,9,11,13,14],[1,3,6,7,10,13,14],[1,3,7,8,11,12,13],[1,4,5,7,10,12,14],[1,4,6,8,12,13,14],[1,4,6,9,10,11,13],[1,5,8,9,10,12,14],[1,6,7,8,9,10,11],[2,3,7,9,10,13,14],[2,3,8,10,11,12,14],[2,4,6,7,8,9,12],[2,4,6,10,11,12,14],[2,4,7,8,9,13,14],[2,5,6,7,10,12,13],[2,5,6,8,10,11,13],[3,4,5,6,9,11,14],[3,4,5,7,8,10,11],[3,4,5,9,10,12,13],[3,5,6,8,9,12,13],[3,6,7,9,11,12,14],[4,5,7,8,11,13,14]]; G[8849]:=Group([(2,9)(3,10)(4,8)(5,11)(13,14)]); # Design 8850: autom. group order 2, simple B[8850]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,5,9,11,13,14],[1,3,6,7,10,13,14],[1,3,7,8,11,12,13],[1,4,5,7,10,12,14],[1,4,6,8,12,13,14],[1,4,6,9,10,11,13],[1,5,8,9,10,12,14],[1,6,7,8,9,10,11],[2,3,7,8,10,11,14],[2,3,9,10,12,13,14],[2,4,6,7,8,9,12],[2,4,6,10,11,12,14],[2,4,7,8,9,13,14],[2,5,6,7,10,12,13],[2,5,6,8,10,11,13],[3,4,5,6,9,11,14],[3,4,5,7,9,10,13],[3,4,5,8,10,11,12],[3,5,6,8,9,12,13],[3,6,7,9,11,12,14],[4,5,7,8,11,13,14]]; G[8850]:=Group([(2,9)(3,10)(4,8)(5,11)(13,14)]); # Design 8851: autom. group order 2, simple B[8851]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,5,9,11,13,14],[1,3,6,7,10,12,14],[1,3,7,8,11,13,14],[1,4,5,10,12,13,14],[1,4,6,7,8,12,13],[1,4,6,9,10,11,14],[1,5,7,8,9,10,13],[1,6,8,9,10,11,12],[2,3,7,9,10,12,13],[2,3,8,10,11,12,14],[2,4,6,7,10,11,13],[2,4,6,8,9,13,14],[2,4,7,8,9,12,14],[2,5,6,7,8,10,11],[2,5,6,10,12,13,14],[3,4,5,6,9,11,12],[3,4,5,7,9,10,14],[3,4,5,8,10,11,13],[3,5,6,8,9,12,13],[3,6,7,9,11,13,14],[4,5,7,8,11,12,14]]; G[8851]:=Group([(2,9)(3,10)(4,8)(5,11)(7,12)]); # Design 8852: autom. group order 2, simple, residual B[8852]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,5,9,11,13,14],[1,3,6,7,10,12,14],[1,3,7,8,11,13,14],[1,4,5,10,12,13,14],[1,4,6,7,8,12,13],[1,4,6,9,10,11,14],[1,5,7,8,9,10,13],[1,6,8,9,10,11,12],[2,3,7,9,10,12,14],[2,3,8,10,11,12,13],[2,4,6,7,10,11,13],[2,4,6,8,9,13,14],[2,4,7,8,9,12,14],[2,5,6,7,8,10,11],[2,5,6,10,12,13,14],[3,4,5,6,9,11,12],[3,4,5,7,9,10,13],[3,4,5,8,10,11,14],[3,5,6,8,9,12,13],[3,6,7,9,11,13,14],[4,5,7,8,11,12,14]]; G[8852]:=Group([(2,9)(3,10)(4,8)(5,11)(7,12)]); # Design 8853: autom. group order 2, simple, residual B[8853]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,5,10,11,13,14],[1,3,6,8,9,11,14],[1,3,7,10,12,13,14],[1,4,5,9,10,12,14],[1,4,6,7,9,10,13],[1,4,7,8,11,12,14],[1,5,6,7,8,12,13],[1,6,8,9,10,11,13],[2,3,6,10,11,12,13],[2,3,7,8,9,10,12],[2,4,6,7,9,13,14],[2,4,6,8,12,13,14],[2,4,7,8,10,11,14],[2,5,6,9,10,12,14],[2,5,7,8,9,11,13],[3,4,5,6,7,10,11],[3,4,5,8,9,12,13],[3,4,5,9,11,13,14],[3,5,7,8,10,13,14],[3,6,7,9,11,12,14],[4,5,6,8,10,11,12]]; G[8853]:=Group([(2,10)(3,9)(5,13)(11,14)]); # Design 8854: autom. group order 2, simple, residual B[8854]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,5,10,11,13,14],[1,3,6,8,9,11,14],[1,3,7,10,12,13,14],[1,4,5,9,10,12,14],[1,4,6,7,9,10,13],[1,4,7,8,11,12,14],[1,5,6,7,8,12,13],[1,6,8,9,10,11,13],[2,3,6,10,12,13,14],[2,3,7,8,9,10,12],[2,4,6,7,9,13,14],[2,4,6,8,11,12,13],[2,4,7,8,10,11,14],[2,5,6,9,10,11,12],[2,5,7,8,9,13,14],[3,4,5,6,7,10,11],[3,4,5,8,9,12,13],[3,4,5,9,11,13,14],[3,5,7,8,10,11,13],[3,6,7,9,11,12,14],[4,5,6,8,10,12,14]]; G[8854]:=Group([(2,10)(3,9)(5,13)(11,14)]); # Design 8855: autom. group order 2, simple B[8855]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,5,9,10,13,14],[1,3,6,9,11,12,14],[1,3,8,10,11,13,14],[1,4,5,7,12,13,14],[1,4,6,8,10,12,13],[1,4,7,8,9,11,14],[1,5,6,7,8,10,11],[1,6,7,9,10,12,13],[2,3,6,7,9,10,13],[2,3,7,8,11,12,13],[2,4,6,7,10,11,14],[2,4,6,9,11,13,14],[2,4,7,8,10,12,14],[2,5,6,8,12,13,14],[2,5,8,9,10,11,12],[3,4,5,6,10,11,12],[3,4,5,7,8,9,13],[3,4,5,9,10,12,14],[3,5,7,10,11,13,14],[3,6,7,8,9,12,14],[4,5,6,8,9,11,13]]; G[8855]:=Group([(2,13)(3,12)(5,10)(7,8)(9,14)]); # Design 8856: autom. group order 2, simple B[8856]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,10,12,13,14],[1,3,6,7,8,13,14],[1,3,6,10,11,12,13],[1,4,5,6,9,11,14],[1,4,7,8,11,12,14],[1,4,7,9,10,13,14],[1,5,7,8,9,10,12],[1,6,8,9,10,11,13],[2,3,7,8,9,12,13],[2,3,7,9,10,11,14],[2,4,6,7,8,10,11],[2,4,6,8,10,12,14],[2,4,6,9,12,13,14],[2,5,6,8,9,11,13],[2,5,7,10,11,13,14],[3,4,5,6,7,10,13],[3,4,5,8,9,13,14],[3,4,5,9,10,11,12],[3,5,6,8,10,12,14],[3,6,7,9,11,12,14],[4,5,7,8,11,12,13]]; G[8856]:=Group([(2,10)(3,9)(4,8)(5,13)(7,11)]); # Design 8857: autom. group order 2, simple, residual B[8857]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,10,12,13,14],[1,3,6,7,8,13,14],[1,3,6,10,11,12,13],[1,4,5,6,9,11,14],[1,4,7,8,11,12,14],[1,4,7,9,10,13,14],[1,5,7,8,9,10,12],[1,6,8,9,10,11,13],[2,3,7,8,9,13,14],[2,3,7,9,10,11,12],[2,4,6,7,8,10,11],[2,4,6,8,10,12,14],[2,4,6,9,12,13,14],[2,5,6,8,9,11,13],[2,5,7,10,11,13,14],[3,4,5,6,7,10,13],[3,4,5,8,9,12,13],[3,4,5,9,10,11,14],[3,5,6,8,10,12,14],[3,6,7,9,11,12,14],[4,5,7,8,11,12,13]]; G[8857]:=Group([(2,10)(3,9)(4,8)(5,13)(7,11)]); # Design 8858: autom. group order 2, simple, residual B[8858]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,5,9,10,13,14],[1,3,6,7,9,10,13],[1,3,6,8,10,12,14],[1,4,5,7,8,12,14],[1,4,6,9,11,12,14],[1,4,7,8,10,11,13],[1,5,6,10,11,12,13],[1,7,8,9,11,13,14],[2,3,6,7,8,13,14],[2,3,9,10,11,12,14],[2,4,6,7,10,11,14],[2,4,6,8,10,12,13],[2,4,7,9,12,13,14],[2,5,6,8,9,11,13],[2,5,7,8,10,11,12],[3,4,5,6,11,13,14],[3,4,5,7,9,10,11],[3,4,5,8,9,12,13],[3,5,7,10,12,13,14],[3,6,7,8,9,11,12],[4,5,6,8,9,10,14]]; G[8858]:=Group([(1,7)(2,11)(3,10)(5,8)(6,13)(12,14)]); # Design 8859: autom. group order 2, simple B[8859]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,5,7,9,12,14],[1,3,6,7,8,12,14],[1,3,6,10,11,13,14],[1,4,5,7,10,13,14],[1,4,6,7,8,11,13],[1,4,9,10,11,12,14],[1,5,6,8,9,10,11],[1,7,8,9,10,12,13],[2,3,6,7,9,10,13],[2,3,8,10,12,13,14],[2,4,6,7,10,11,12],[2,4,6,8,9,13,14],[2,4,7,8,9,11,14],[2,5,6,8,10,11,12],[2,5,7,10,11,13,14],[3,4,5,6,9,10,14],[3,4,5,7,8,10,12],[3,4,5,9,11,12,13],[3,5,7,8,9,11,13],[3,6,7,9,11,12,14],[4,5,6,8,12,13,14]]; G[8859]:=Group([(2,9)(3,10)(4,8)(5,12)(6,13)]); # Design 8860: autom. group order 2, simple, residual B[8860]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,5,7,9,12,14],[1,3,6,7,8,12,14],[1,3,6,10,11,13,14],[1,4,5,7,10,13,14],[1,4,6,7,8,11,13],[1,4,9,10,11,12,14],[1,5,6,8,9,10,11],[1,7,8,9,10,12,13],[2,3,6,9,10,13,14],[2,3,7,8,10,12,13],[2,4,6,7,10,11,12],[2,4,6,8,9,13,14],[2,4,7,8,9,11,14],[2,5,6,8,10,11,12],[2,5,7,10,11,13,14],[3,4,5,6,7,9,10],[3,4,5,8,10,12,14],[3,4,5,9,11,12,13],[3,5,7,8,9,11,13],[3,6,7,9,11,12,14],[4,5,6,8,12,13,14]]; G[8860]:=Group([(2,9)(3,10)(4,8)(5,12)(6,13)]); # Design 8861: autom. group order 2, simple, residual B[8861]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,5,7,10,12,14],[1,3,6,7,8,13,14],[1,3,6,9,11,13,14],[1,4,5,10,11,12,14],[1,4,6,7,8,11,12],[1,4,7,9,10,13,14],[1,5,6,7,8,9,10],[1,8,9,10,11,12,13],[2,3,6,9,10,12,14],[2,3,7,8,10,12,13],[2,4,6,7,10,11,13],[2,4,6,8,9,12,14],[2,4,7,8,9,11,14],[2,5,6,8,10,11,13],[2,5,7,9,11,13,14],[3,4,5,6,9,10,11],[3,4,5,7,9,12,13],[3,4,5,8,10,13,14],[3,5,7,8,9,11,12],[3,6,7,10,11,12,14],[4,5,6,8,12,13,14]]; G[8861]:=Group([(2,9)(3,10)(4,8)(5,13)(6,12)(7,11)]); # Design 8862: autom. group order 2, simple B[8862]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,6,7,10,11,13],[1,3,5,9,10,13,14],[1,3,7,8,11,12,14],[1,4,5,6,12,13,14],[1,4,5,9,10,11,14],[1,4,7,8,9,12,13],[1,6,7,8,10,11,14],[1,6,8,9,10,12,13],[2,3,6,9,10,11,12],[2,3,7,8,9,13,14],[2,4,5,7,8,10,13],[2,4,6,8,10,12,14],[2,4,6,9,11,13,14],[2,5,7,9,10,12,14],[2,5,8,11,12,13,14],[3,4,5,8,10,11,12],[3,4,6,7,9,12,14],[3,4,7,10,11,13,14],[3,5,6,7,10,12,13],[3,5,6,8,9,11,13],[4,5,6,7,8,9,11]]; G[8862]:=Group([(2,12)(3,13)(5,9)(6,8)(10,14)]); # Design 8863: autom. group order 2, simple B[8863]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,6,7,9,11,13],[1,3,5,7,10,13,14],[1,3,8,9,11,12,14],[1,4,5,6,9,12,13],[1,4,5,7,10,11,14],[1,4,8,10,12,13,14],[1,6,7,8,9,11,14],[1,6,7,8,10,12,13],[2,3,6,10,11,12,14],[2,3,7,8,9,10,13],[2,4,5,8,9,13,14],[2,4,6,7,8,12,14],[2,4,6,10,11,13,14],[2,5,7,8,11,12,13],[2,5,7,9,10,12,14],[3,4,5,7,8,11,12],[3,4,6,7,9,10,12],[3,4,7,9,11,13,14],[3,5,6,8,10,11,13],[3,5,6,9,12,13,14],[4,5,6,8,9,10,11]]; G[8863]:=Group([(2,12)(3,13)(5,10)(6,8)(7,14)]); # Design 8864: autom. group order 2, simple B[8864]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,6,7,10,11,13],[1,3,5,9,11,13,14],[1,3,7,9,10,12,14],[1,4,5,6,10,12,14],[1,4,5,8,9,12,13],[1,4,8,10,11,13,14],[1,6,7,8,9,11,14],[1,6,7,8,10,12,13],[2,3,6,9,10,12,13],[2,3,8,10,11,12,14],[2,4,5,7,8,10,11],[2,4,6,9,11,13,14],[2,4,7,8,9,12,14],[2,5,6,8,12,13,14],[2,5,7,9,10,13,14],[3,4,5,7,10,13,14],[3,4,6,7,8,9,13],[3,4,6,7,11,12,14],[3,5,6,8,9,10,11],[3,5,7,8,11,12,13],[4,5,6,9,10,11,12]]; G[8864]:=Group([(1,14)(3,8)(4,12)(5,6)(7,13)(9,11)]); # Design 8865: autom. group order 2, simple B[8865]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,14],[1,2,6,7,10,12,13],[1,3,5,9,10,12,13],[1,3,8,10,11,12,14],[1,4,5,6,10,11,13],[1,4,5,7,9,12,14],[1,4,8,9,11,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,12,14],[2,3,6,9,10,11,14],[2,3,7,8,9,12,13],[2,4,5,8,12,13,14],[2,4,6,9,10,13,14],[2,4,7,10,11,12,14],[2,5,6,8,9,11,12],[2,5,7,8,10,11,13],[3,4,5,7,8,10,11],[3,4,6,7,8,13,14],[3,4,6,7,9,11,12],[3,5,6,11,12,13,14],[3,5,7,9,10,13,14],[4,5,6,8,9,10,12]]; G[8865]:=Group([(2,11)(3,13)(5,9)(6,8)(7,14)]); # Design 8866: autom. group order 2, simple B[8866]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,14],[1,2,6,7,9,12,13],[1,3,5,7,10,12,13],[1,3,7,8,11,12,14],[1,4,5,6,11,13,14],[1,4,5,9,10,12,14],[1,4,7,8,10,11,13],[1,6,7,8,9,12,14],[1,6,8,9,10,11,13],[2,3,6,7,9,10,11],[2,3,8,10,12,13,14],[2,4,5,7,8,9,13],[2,4,6,10,12,13,14],[2,4,7,9,11,12,14],[2,5,6,8,10,11,12],[2,5,7,8,11,13,14],[3,4,5,8,9,11,12],[3,4,6,7,10,11,14],[3,4,6,8,9,13,14],[3,5,6,9,11,12,13],[3,5,7,9,10,13,14],[4,5,6,7,8,10,12]]; G[8866]:=Group([(2,11)(3,13)(5,10)(6,8)(9,14)]); # Design 8867: autom. group order 2, simple B[8867]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,14],[1,2,6,7,9,12,13],[1,3,5,7,10,12,13],[1,3,7,8,11,12,14],[1,4,5,6,11,13,14],[1,4,5,9,10,12,14],[1,4,7,8,10,11,13],[1,6,7,8,9,12,14],[1,6,8,9,10,11,13],[2,3,6,7,9,10,11],[2,3,8,10,12,13,14],[2,4,5,8,9,12,13],[2,4,6,7,10,13,14],[2,4,7,9,11,12,14],[2,5,6,8,10,11,12],[2,5,7,8,11,13,14],[3,4,5,7,8,9,11],[3,4,6,8,9,13,14],[3,4,6,10,11,12,14],[3,5,6,9,11,12,13],[3,5,7,9,10,13,14],[4,5,6,7,8,10,12]]; G[8867]:=Group([(2,11)(3,13)(5,10)(6,8)(9,14)]); # Design 8868: autom. group order 2, simple B[8868]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,6,7,9,11,13],[1,3,5,7,10,13,14],[1,3,8,9,11,12,14],[1,4,5,6,9,12,13],[1,4,5,7,10,11,14],[1,4,8,10,12,13,14],[1,6,7,8,9,11,14],[1,6,7,8,10,12,13],[2,3,7,8,10,11,13],[2,3,7,9,12,13,14],[2,4,5,8,11,13,14],[2,4,6,7,8,12,14],[2,4,6,9,10,13,14],[2,5,6,8,10,11,12],[2,5,7,9,10,12,14],[3,4,5,7,8,9,12],[3,4,6,7,10,11,12],[3,4,6,9,10,11,14],[3,5,6,8,9,10,13],[3,5,6,11,12,13,14],[4,5,7,8,9,11,13]]; G[8868]:=Group([(2,12)(3,13)(5,10)(6,8)(7,14)]); # Design 8869: autom. group order 2, simple, residual B[8869]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,8,11,12],[1,2,6,7,9,13,14],[1,3,5,9,10,11,13],[1,3,7,9,10,12,14],[1,4,5,7,10,12,13],[1,4,5,8,9,11,14],[1,4,6,10,11,12,14],[1,6,7,8,10,11,13],[1,6,8,9,12,13,14],[2,3,6,8,10,12,13],[2,3,7,9,10,11,14],[2,4,5,9,12,13,14],[2,4,6,7,9,11,13],[2,4,7,8,10,12,14],[2,5,6,9,10,11,12],[2,5,8,10,11,13,14],[3,4,5,6,10,13,14],[3,4,6,8,9,11,12],[3,4,7,8,11,13,14],[3,5,6,7,11,12,14],[3,5,7,8,9,12,13],[4,5,6,7,8,9,10]]; G[8869]:=Group([(1,14)(2,7)(4,11)(5,10)(6,9)(8,12)]); # Design 8870: autom. group order 2, simple, residual B[8870]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,6,7,8,10,13],[1,3,5,10,11,13,14],[1,3,7,9,12,13,14],[1,4,5,7,9,10,14],[1,4,5,8,11,12,14],[1,4,6,9,10,11,13],[1,6,7,8,12,13,14],[1,6,8,9,10,11,12],[2,3,6,9,10,12,14],[2,3,8,9,11,13,14],[2,4,5,8,9,12,13],[2,4,6,7,9,11,14],[2,4,7,10,12,13,14],[2,5,6,10,11,12,14],[2,5,7,8,10,11,13],[3,4,5,6,10,12,13],[3,4,6,7,8,11,12],[3,4,7,8,10,11,14],[3,5,6,7,9,11,13],[3,5,7,8,9,10,12],[4,5,6,8,9,13,14]]; G[8870]:=Group([(2,10)(3,9)(5,11)(7,13)(12,14)]); # Design 8871: autom. group order 2, simple, residual B[8871]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,6,9,10,11,13],[1,3,5,10,12,13,14],[1,3,7,8,9,10,12],[1,4,5,7,8,11,14],[1,4,5,9,12,13,14],[1,4,6,9,10,11,14],[1,6,7,8,10,13,14],[1,6,7,8,11,12,13],[2,3,6,7,9,13,14],[2,3,8,10,11,12,14],[2,4,5,7,8,10,13],[2,4,6,8,11,12,14],[2,4,7,10,12,13,14],[2,5,6,8,9,12,13],[2,5,7,9,10,11,14],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,7,8,9,11,13],[3,5,6,7,10,11,12],[3,5,8,9,11,13,14],[4,5,6,8,9,10,12]]; G[8871]:=Group([(1,11)(2,13)(5,8)(6,9)]); # Design 8872: autom. group order 2, simple, residual B[8872]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,6,9,11,13,14],[1,3,5,9,10,12,14],[1,3,8,10,11,13,14],[1,4,5,7,8,10,11],[1,4,5,7,12,13,14],[1,4,6,8,10,12,13],[1,6,7,8,9,11,14],[1,6,7,9,10,12,13],[2,3,6,7,8,12,13],[2,3,7,10,11,12,14],[2,4,5,9,10,13,14],[2,4,6,10,11,12,14],[2,4,7,8,9,13,14],[2,5,6,8,9,10,12],[2,5,7,8,10,11,13],[3,4,5,6,9,11,13],[3,4,6,7,9,10,11],[3,4,7,8,9,12,14],[3,5,6,7,10,13,14],[3,5,8,9,11,12,13],[4,5,6,8,11,12,14]]; G[8872]:=Group([(2,13)(3,12)(5,10)(7,8)(9,14)]); # Design 8873: autom. group order 2, simple, residual B[8873]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,11,12,14],[1,2,6,7,8,9,13],[1,3,5,7,10,11,13],[1,3,7,10,12,13,14],[1,4,5,7,9,10,14],[1,4,5,8,11,12,14],[1,4,6,9,10,11,13],[1,6,7,8,12,13,14],[1,6,8,9,10,11,12],[2,3,6,9,10,12,14],[2,3,8,10,11,13,14],[2,4,5,8,10,12,13],[2,4,6,7,10,11,14],[2,4,7,9,12,13,14],[2,5,6,7,10,11,12],[2,5,7,8,9,11,13],[3,4,5,6,9,12,13],[3,4,6,7,8,11,12],[3,4,7,8,9,11,14],[3,5,6,9,11,13,14],[3,5,7,8,9,10,12],[4,5,6,8,10,13,14]]; G[8873]:=Group([(2,9)(3,10)(5,11)(7,13)(12,14)]); # Design 8874: autom. group order 2, simple, residual B[8874]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,6,7,9,11,13],[1,3,5,7,10,12,13],[1,3,7,8,9,12,14],[1,4,5,8,10,11,14],[1,4,5,9,12,13,14],[1,4,6,7,8,10,13],[1,6,7,9,10,11,14],[1,6,8,11,12,13,14],[2,3,6,9,10,13,14],[2,3,7,8,11,12,14],[2,4,5,7,9,11,14],[2,4,6,8,10,11,12],[2,4,7,10,12,13,14],[2,5,6,8,9,12,13],[2,5,7,8,10,13,14],[3,4,5,6,11,13,14],[3,4,6,9,10,12,14],[3,4,7,8,9,11,13],[3,5,6,7,10,11,12],[3,5,8,9,10,11,13],[4,5,6,7,8,9,12]]; G[8874]:=Group([(1,11)(2,13)(5,8)(6,9)(10,14)]); # Design 8875: autom. group order 2, simple B[8875]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,8,9,10,11],[1,2,6,7,9,12,13],[1,3,5,7,10,11,12],[1,3,7,8,11,13,14],[1,4,5,9,10,13,14],[1,4,5,9,12,13,14],[1,4,6,7,10,11,14],[1,6,7,8,9,12,14],[1,6,8,10,11,12,13],[2,3,6,9,11,13,14],[2,3,7,9,10,12,14],[2,4,5,7,11,12,14],[2,4,6,8,10,12,14],[2,4,7,8,9,11,13],[2,5,6,10,11,13,14],[2,5,7,8,10,12,13],[3,4,5,6,8,12,13],[3,4,6,9,10,11,12],[3,4,7,8,10,13,14],[3,5,6,7,9,10,13],[3,5,8,9,11,12,14],[4,5,6,7,8,9,11]]; G[8875]:=Group([(1,9)(2,8)(3,11)(4,5)(6,7)(13,14)]); # Design 8876: autom. group order 2, simple, residual B[8876]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,11,12,14],[1,2,6,9,10,11,13],[1,3,5,7,10,12,13],[1,3,7,8,9,10,12],[1,4,5,7,8,11,14],[1,4,5,9,12,13,14],[1,4,6,8,10,13,14],[1,6,7,8,11,12,13],[1,6,7,9,10,11,14],[2,3,6,7,9,13,14],[2,3,8,10,11,12,14],[2,4,5,7,9,10,11],[2,4,6,7,8,11,12],[2,4,7,10,12,13,14],[2,5,6,8,9,12,13],[2,5,7,8,10,13,14],[3,4,5,6,10,11,13],[3,4,6,7,9,12,14],[3,4,8,9,11,13,14],[3,5,6,10,11,12,14],[3,5,7,8,9,11,13],[4,5,6,8,9,10,12]]; G[8876]:=Group([(1,11)(2,13)(5,8)(6,9)(7,14)]); # Design 8877: autom. group order 2, simple, residual B[8877]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,6,7,8,9,14],[1,3,5,6,11,13,14],[1,3,6,7,10,12,13],[1,4,5,7,8,10,13],[1,4,5,9,12,13,14],[1,4,7,9,10,11,14],[1,6,8,10,11,12,14],[1,7,8,9,11,12,13],[2,3,7,9,10,11,13],[2,3,8,9,12,13,14],[2,4,5,7,8,11,12],[2,4,6,7,12,13,14],[2,4,6,8,10,13,14],[2,5,6,9,10,11,13],[2,5,7,10,11,12,14],[3,4,5,9,10,12,14],[3,4,6,7,9,11,14],[3,4,6,8,10,11,12],[3,5,6,7,8,9,12],[3,5,7,8,10,13,14],[4,5,6,8,9,11,13]]; G[8877]:=Group([(1,3)(5,11)(6,13)(7,12)]); # Design 8878: autom. group order 2, simple, residual B[8878]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,9,12],[1,3,5,6,10,13,14],[1,3,6,7,10,11,13],[1,4,5,7,9,13,14],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,7,8,10,11,12,14],[2,3,7,9,10,12,13],[2,3,8,9,11,13,14],[2,4,5,7,9,10,11],[2,4,6,7,10,11,14],[2,4,6,11,12,13,14],[2,5,6,8,10,12,13],[2,5,7,8,10,13,14],[3,4,5,7,8,12,13],[3,4,6,7,8,12,14],[3,4,6,8,9,10,14],[3,5,6,9,10,11,12],[3,5,7,9,11,12,14],[4,5,6,8,9,11,13]]; G[8878]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8879: autom. group order 2, simple, residual B[8879]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,9,12],[1,3,5,6,10,13,14],[1,3,6,7,10,11,13],[1,4,5,7,9,13,14],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,7,8,10,11,12,14],[2,3,7,9,10,12,13],[2,3,8,9,11,13,14],[2,4,5,7,11,12,13],[2,4,6,7,10,11,14],[2,4,6,9,10,11,14],[2,5,6,8,10,12,13],[2,5,7,8,10,13,14],[3,4,5,7,8,9,10],[3,4,6,7,8,12,14],[3,4,6,8,12,13,14],[3,5,6,9,10,11,12],[3,5,7,9,11,12,14],[4,5,6,8,9,11,13]]; G[8879]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8880: autom. group order 2, simple, residual B[8880]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,10,13],[1,3,5,6,10,13,14],[1,3,6,7,9,11,12],[1,4,5,7,9,13,14],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,7,8,10,11,12,14],[2,3,7,9,10,12,13],[2,3,8,9,11,13,14],[2,4,5,7,9,10,11],[2,4,6,7,11,12,14],[2,4,6,10,11,13,14],[2,5,6,8,9,10,12],[2,5,7,8,12,13,14],[3,4,5,7,8,12,13],[3,4,6,7,8,10,14],[3,4,6,8,9,12,14],[3,5,6,10,11,12,13],[3,5,7,9,10,11,14],[4,5,6,8,9,11,13]]; G[8880]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8881: autom. group order 2, simple, residual B[8881]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,12,13],[1,3,5,6,10,13,14],[1,3,6,7,9,10,11],[1,4,5,7,9,13,14],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,7,8,10,11,12,14],[2,3,7,9,10,12,13],[2,3,8,9,11,13,14],[2,4,5,7,9,10,11],[2,4,6,7,11,12,14],[2,4,6,10,11,13,14],[2,5,6,8,9,10,12],[2,5,7,8,10,13,14],[3,4,5,7,8,12,13],[3,4,6,7,8,10,14],[3,4,6,8,9,12,14],[3,5,6,10,11,12,13],[3,5,7,9,11,12,14],[4,5,6,8,9,11,13]]; G[8881]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8882: autom. group order 2, simple, residual B[8882]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,12,13],[1,3,5,6,10,13,14],[1,3,6,7,9,10,11],[1,4,5,7,9,13,14],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,7,8,10,11,12,14],[2,3,7,9,10,12,13],[2,3,8,9,11,13,14],[2,4,5,7,9,11,12],[2,4,6,7,10,11,14],[2,4,6,10,11,13,14],[2,5,6,8,10,12,13],[2,5,7,8,9,10,14],[3,4,5,7,8,10,13],[3,4,6,7,8,12,14],[3,4,6,8,9,12,14],[3,5,6,9,10,11,12],[3,5,7,11,12,13,14],[4,5,6,8,9,11,13]]; G[8882]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8883: autom. group order 2, simple, residual B[8883]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,10,13],[1,3,5,6,10,13,14],[1,3,6,7,9,11,12],[1,4,5,7,9,13,14],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,7,8,10,11,12,14],[2,3,7,9,10,12,13],[2,3,8,9,11,13,14],[2,4,5,7,10,11,13],[2,4,6,7,11,12,14],[2,4,6,9,10,11,14],[2,5,6,8,9,10,12],[2,5,7,8,12,13,14],[3,4,5,7,8,9,12],[3,4,6,7,8,10,14],[3,4,6,8,12,13,14],[3,5,6,10,11,12,13],[3,5,7,9,10,11,14],[4,5,6,8,9,11,13]]; G[8883]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8884: autom. group order 2, simple, residual B[8884]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,14],[1,2,6,7,8,9,12],[1,3,5,6,12,13,14],[1,3,6,7,10,11,13],[1,4,5,7,9,13,14],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,7,8,10,11,12,14],[2,3,7,9,10,12,13],[2,3,8,9,11,13,14],[2,4,5,7,9,11,12],[2,4,6,7,10,11,14],[2,4,6,8,12,13,14],[2,5,6,10,11,12,13],[2,5,7,8,10,13,14],[3,4,5,7,8,10,13],[3,4,6,7,8,12,14],[3,4,6,9,10,11,14],[3,5,6,8,9,10,12],[3,5,7,9,11,12,14],[4,5,6,8,9,11,13]]; G[8884]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8885: autom. group order 2, simple, residual B[8885]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,14],[1,2,6,7,8,9,12],[1,3,5,6,12,13,14],[1,3,6,7,10,11,13],[1,4,5,7,9,13,14],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,7,8,10,11,12,14],[2,3,7,9,10,12,13],[2,3,8,9,11,13,14],[2,4,5,7,10,11,13],[2,4,6,7,11,12,14],[2,4,6,8,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,12,13,14],[3,4,5,7,8,9,12],[3,4,6,7,8,10,14],[3,4,6,9,11,12,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,14],[4,5,6,8,9,11,13]]; G[8885]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8886: autom. group order 2, simple, residual B[8886]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,14],[1,2,6,7,8,9,12],[1,3,5,6,12,13,14],[1,3,6,7,10,11,13],[1,4,5,7,10,12,14],[1,4,5,8,9,11,13],[1,4,9,10,12,13,14],[1,6,7,8,10,11,12],[1,7,8,9,11,13,14],[2,3,7,9,10,12,13],[2,3,8,10,11,12,14],[2,4,5,7,9,11,12],[2,4,6,7,11,13,14],[2,4,6,8,10,13,14],[2,5,6,9,10,11,13],[2,5,7,8,12,13,14],[3,4,5,7,8,10,13],[3,4,6,7,8,9,14],[3,4,6,9,11,12,14],[3,5,6,8,9,12,13],[3,5,7,9,10,11,14],[4,5,6,8,10,11,12]]; G[8886]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8887: autom. group order 2, simple, residual B[8887]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,14],[1,2,6,7,8,12,13],[1,3,5,6,12,13,14],[1,3,6,7,9,10,11],[1,4,5,7,9,12,14],[1,4,5,8,10,11,13],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,7,8,10,11,13,14],[2,3,7,9,10,12,13],[2,3,8,9,11,12,14],[2,4,5,7,9,11,13],[2,4,6,7,10,11,14],[2,4,6,8,9,13,14],[2,5,6,10,11,12,13],[2,5,7,8,10,12,14],[3,4,5,7,8,10,12],[3,4,6,7,8,13,14],[3,4,6,10,11,12,14],[3,5,6,8,9,10,13],[3,5,7,9,11,13,14],[4,5,6,8,9,11,12]]; G[8887]:=Group([(2,3)(8,11)(9,12)(10,13)]); # Design 8888: autom. group order 2, simple, residual B[8888]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,9,12],[1,3,5,6,10,13,14],[1,3,6,7,10,11,13],[1,4,5,7,9,13,14],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,7,8,10,11,12,14],[2,3,7,9,10,12,13],[2,3,8,9,11,13,14],[2,4,5,7,9,10,11],[2,4,6,7,10,11,14],[2,4,6,8,10,13,14],[2,5,6,8,10,12,13],[2,5,7,11,12,13,14],[3,4,5,7,8,12,13],[3,4,6,7,8,12,14],[3,4,6,9,11,12,14],[3,5,6,9,10,11,12],[3,5,7,8,9,10,14],[4,5,6,8,9,11,13]]; G[8888]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8889: autom. group order 2, simple, residual B[8889]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,9,10],[1,3,5,6,10,13,14],[1,3,6,7,11,12,13],[1,4,5,7,9,13,14],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,7,8,10,11,12,14],[2,3,7,9,10,12,13],[2,3,8,9,11,13,14],[2,4,5,7,10,11,13],[2,4,6,7,10,11,14],[2,4,6,8,12,13,14],[2,5,6,8,10,12,13],[2,5,7,9,11,12,14],[3,4,5,7,8,9,12],[3,4,6,7,8,12,14],[3,4,6,9,10,11,14],[3,5,6,9,10,11,12],[3,5,7,8,10,13,14],[4,5,6,8,9,11,13]]; G[8889]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8890: autom. group order 2, simple, residual B[8890]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,10,13],[1,3,5,6,10,13,14],[1,3,6,7,9,11,12],[1,4,5,7,9,13,14],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,7,8,10,11,12,14],[2,3,7,9,10,12,13],[2,3,8,9,11,13,14],[2,4,5,7,9,10,11],[2,4,6,7,10,11,14],[2,4,6,8,9,12,14],[2,5,6,8,10,12,13],[2,5,7,11,12,13,14],[3,4,5,7,8,12,13],[3,4,6,7,8,12,14],[3,4,6,10,11,13,14],[3,5,6,9,10,11,12],[3,5,7,8,9,10,14],[4,5,6,8,9,11,13]]; G[8890]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8891: autom. group order 2, simple, residual B[8891]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,12,13],[1,3,5,6,10,13,14],[1,3,6,7,9,10,11],[1,4,5,7,9,13,14],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,7,8,10,11,12,14],[2,3,7,9,10,12,13],[2,3,8,9,11,13,14],[2,4,5,7,9,10,11],[2,4,6,7,11,12,14],[2,4,6,8,10,13,14],[2,5,6,8,9,10,12],[2,5,7,10,11,13,14],[3,4,5,7,8,12,13],[3,4,6,7,8,10,14],[3,4,6,9,11,12,14],[3,5,6,10,11,12,13],[3,5,7,8,9,12,14],[4,5,6,8,9,11,13]]; G[8891]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8892: autom. group order 2, simple, residual B[8892]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,12,13],[1,3,5,6,10,13,14],[1,3,6,7,9,10,11],[1,4,5,7,9,13,14],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,7,8,10,11,12,14],[2,3,7,9,10,12,13],[2,3,8,9,11,13,14],[2,4,5,7,10,11,13],[2,4,6,7,10,11,14],[2,4,6,8,9,10,14],[2,5,6,8,10,12,13],[2,5,7,9,11,12,14],[3,4,5,7,8,9,12],[3,4,6,7,8,12,14],[3,4,6,11,12,13,14],[3,5,6,9,10,11,12],[3,5,7,8,10,13,14],[4,5,6,8,9,11,13]]; G[8892]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8893: autom. group order 2, simple, residual B[8893]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,12,13],[1,3,5,6,10,13,14],[1,3,6,7,9,10,11],[1,4,5,7,9,13,14],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,7,8,10,11,12,14],[2,3,7,9,10,12,13],[2,3,8,9,11,13,14],[2,4,5,7,10,11,13],[2,4,6,7,11,12,14],[2,4,6,8,10,13,14],[2,5,6,8,9,10,12],[2,5,7,9,10,11,14],[3,4,5,7,8,9,12],[3,4,6,7,8,10,14],[3,4,6,9,11,12,14],[3,5,6,10,11,12,13],[3,5,7,8,12,13,14],[4,5,6,8,9,11,13]]; G[8893]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8894: autom. group order 2, simple, residual B[8894]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,10,13],[1,3,5,6,10,13,14],[1,3,6,7,9,11,12],[1,4,5,7,10,12,14],[1,4,5,8,9,11,13],[1,4,9,10,12,13,14],[1,6,7,8,10,11,12],[1,7,8,9,11,13,14],[2,3,7,9,10,12,13],[2,3,8,10,11,12,14],[2,4,5,7,9,10,11],[2,4,6,7,8,9,14],[2,4,6,10,11,13,14],[2,5,6,9,11,12,13],[2,5,7,8,12,13,14],[3,4,5,7,8,12,13],[3,4,6,7,11,13,14],[3,4,6,8,9,12,14],[3,5,6,8,9,10,13],[3,5,7,9,10,11,14],[4,5,6,8,10,11,12]]; G[8894]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8895: autom. group order 2, simple, residual B[8895]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,12,13],[1,3,5,6,10,13,14],[1,3,6,7,9,10,11],[1,4,5,7,10,12,14],[1,4,5,8,9,11,13],[1,4,9,10,12,13,14],[1,6,7,8,10,11,12],[1,7,8,9,11,13,14],[2,3,7,9,10,12,13],[2,3,8,10,11,12,14],[2,4,5,7,9,10,11],[2,4,6,7,8,9,14],[2,4,6,10,11,13,14],[2,5,6,9,11,12,13],[2,5,7,8,10,13,14],[3,4,5,7,8,12,13],[3,4,6,7,11,13,14],[3,4,6,8,9,12,14],[3,5,6,8,9,10,13],[3,5,7,9,11,12,14],[4,5,6,8,10,11,12]]; G[8895]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8896: autom. group order 2, simple, residual B[8896]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,10,13],[1,3,5,6,10,13,14],[1,3,6,7,9,11,12],[1,4,5,7,10,12,14],[1,4,5,8,9,11,13],[1,4,9,10,12,13,14],[1,6,7,8,10,11,12],[1,7,8,9,11,13,14],[2,3,7,9,10,12,13],[2,3,8,10,11,12,14],[2,4,5,7,9,10,11],[2,4,6,7,8,13,14],[2,4,6,11,12,13,14],[2,5,6,9,10,11,13],[2,5,7,8,9,12,14],[3,4,5,7,8,12,13],[3,4,6,7,9,11,14],[3,4,6,8,9,10,14],[3,5,6,8,9,12,13],[3,5,7,10,11,13,14],[4,5,6,8,10,11,12]]; G[8896]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8897: autom. group order 2, simple, residual B[8897]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,10,13],[1,3,5,6,10,13,14],[1,3,6,7,9,11,12],[1,4,5,7,10,12,14],[1,4,5,8,9,11,13],[1,4,9,10,12,13,14],[1,6,7,8,10,11,12],[1,7,8,9,11,13,14],[2,3,7,9,10,12,13],[2,3,8,10,11,12,14],[2,4,5,7,11,12,13],[2,4,6,7,8,13,14],[2,4,6,9,10,11,14],[2,5,6,9,10,11,13],[2,5,7,8,9,12,14],[3,4,5,7,8,9,10],[3,4,6,7,9,11,14],[3,4,6,8,12,13,14],[3,5,6,8,9,12,13],[3,5,7,10,11,13,14],[4,5,6,8,10,11,12]]; G[8897]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8898: autom. group order 2, simple, residual B[8898]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,12,13],[1,3,5,6,10,13,14],[1,3,6,7,9,10,11],[1,4,5,7,10,12,14],[1,4,5,8,9,11,13],[1,4,9,10,12,13,14],[1,6,7,8,10,11,12],[1,7,8,9,11,13,14],[2,3,7,9,10,12,13],[2,3,8,10,11,12,14],[2,4,5,7,10,11,13],[2,4,6,7,8,13,14],[2,4,6,9,11,12,14],[2,5,6,9,10,11,13],[2,5,7,8,9,10,14],[3,4,5,7,8,9,12],[3,4,6,7,9,11,14],[3,4,6,8,10,13,14],[3,5,6,8,9,12,13],[3,5,7,11,12,13,14],[4,5,6,8,10,11,12]]; G[8898]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8899: autom. group order 2, simple, residual B[8899]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,12,13,14],[1,2,6,7,8,9,12],[1,3,5,6,9,10,14],[1,3,6,7,10,11,13],[1,4,5,7,9,13,14],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,7,8,10,11,12,14],[2,3,7,9,10,12,13],[2,3,8,9,11,13,14],[2,4,5,7,9,10,11],[2,4,6,7,8,10,14],[2,4,6,9,11,12,14],[2,5,6,8,10,12,13],[2,5,7,10,11,13,14],[3,4,5,7,8,12,13],[3,4,6,7,11,12,14],[3,4,6,8,10,13,14],[3,5,6,9,10,11,12],[3,5,7,8,9,12,14],[4,5,6,8,9,11,13]]; G[8899]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8900: autom. group order 2, simple, residual B[8900]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,12,13,14],[1,2,6,7,8,9,12],[1,3,5,6,9,10,14],[1,3,6,7,10,11,13],[1,4,5,7,9,13,14],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,7,8,10,11,12,14],[2,3,7,9,10,12,13],[2,3,8,9,11,13,14],[2,4,5,7,9,11,12],[2,4,6,7,8,10,14],[2,4,6,9,10,11,14],[2,5,6,8,10,12,13],[2,5,7,10,11,13,14],[3,4,5,7,8,10,13],[3,4,6,7,11,12,14],[3,4,6,8,12,13,14],[3,5,6,9,10,11,12],[3,5,7,8,9,12,14],[4,5,6,8,9,11,13]]; G[8900]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8901: autom. group order 2, simple, residual B[8901]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,12,13,14],[1,2,6,7,8,9,12],[1,3,5,6,9,10,14],[1,3,6,7,10,11,13],[1,4,5,7,9,13,14],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,7,8,10,11,12,14],[2,3,7,9,10,12,13],[2,3,8,9,11,13,14],[2,4,5,7,9,10,11],[2,4,6,7,8,10,14],[2,4,6,10,11,13,14],[2,5,6,8,10,12,13],[2,5,7,9,11,12,14],[3,4,5,7,8,12,13],[3,4,6,7,11,12,14],[3,4,6,8,9,12,14],[3,5,6,9,10,11,12],[3,5,7,8,10,13,14],[4,5,6,8,9,11,13]]; G[8901]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8902: autom. group order 2, simple, residual B[8902]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,12,13,14],[1,2,6,7,8,9,12],[1,3,5,6,9,10,14],[1,3,6,7,10,11,13],[1,4,5,7,9,13,14],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,7,8,10,11,12,14],[2,3,7,9,10,12,13],[2,3,8,9,11,13,14],[2,4,5,7,9,11,12],[2,4,6,7,8,10,14],[2,4,6,10,11,13,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,14],[3,4,5,7,8,10,13],[3,4,6,7,11,12,14],[3,4,6,8,9,12,14],[3,5,6,9,10,11,12],[3,5,7,8,12,13,14],[4,5,6,8,9,11,13]]; G[8902]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8903: autom. group order 2, simple, residual B[8903]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,12,13,14],[1,2,6,7,8,9,12],[1,3,5,6,9,10,14],[1,3,6,7,10,11,13],[1,4,5,7,9,13,14],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,7,8,10,11,12,14],[2,3,7,9,10,12,13],[2,3,8,9,11,13,14],[2,4,5,7,10,11,13],[2,4,6,7,8,10,14],[2,4,6,9,10,11,14],[2,5,6,8,10,12,13],[2,5,7,9,11,12,14],[3,4,5,7,8,9,12],[3,4,6,7,11,12,14],[3,4,6,8,12,13,14],[3,5,6,9,10,11,12],[3,5,7,8,10,13,14],[4,5,6,8,9,11,13]]; G[8903]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8904: autom. group order 2, simple, residual B[8904]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,12,13,14],[1,2,6,7,8,9,12],[1,3,5,6,9,10,14],[1,3,6,7,10,11,13],[1,4,5,7,9,13,14],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,7,8,10,11,12,14],[2,3,7,9,10,12,13],[2,3,8,9,11,13,14],[2,4,5,7,10,11,13],[2,4,6,7,8,10,14],[2,4,6,9,11,12,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,14],[3,4,5,7,8,9,12],[3,4,6,7,11,12,14],[3,4,6,8,10,13,14],[3,5,6,9,10,11,12],[3,5,7,8,12,13,14],[4,5,6,8,9,11,13]]; G[8904]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8905: autom. group order 2, simple, residual B[8905]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,12,13,14],[1,2,6,7,8,9,12],[1,3,5,6,9,10,14],[1,3,6,7,10,11,13],[1,4,5,7,10,12,14],[1,4,5,8,9,11,13],[1,4,9,10,12,13,14],[1,6,7,8,10,11,12],[1,7,8,9,11,13,14],[2,3,7,9,10,12,13],[2,3,8,10,11,12,14],[2,4,5,7,9,10,11],[2,4,6,7,8,13,14],[2,4,6,9,11,12,14],[2,5,6,8,9,10,13],[2,5,7,10,11,13,14],[3,4,5,7,8,12,13],[3,4,6,7,9,11,14],[3,4,6,8,10,13,14],[3,5,6,9,11,12,13],[3,5,7,8,9,12,14],[4,5,6,8,10,11,12]]; G[8905]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8906: autom. group order 2, simple, residual B[8906]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,12,13,14],[1,2,6,7,8,9,12],[1,3,5,6,9,10,14],[1,3,6,7,10,11,13],[1,4,5,7,10,12,14],[1,4,5,8,9,11,13],[1,4,9,10,12,13,14],[1,6,7,8,10,11,12],[1,7,8,9,11,13,14],[2,3,7,9,10,12,13],[2,3,8,10,11,12,14],[2,4,5,7,9,11,12],[2,4,6,7,8,13,14],[2,4,6,9,10,11,14],[2,5,6,8,9,10,13],[2,5,7,10,11,13,14],[3,4,5,7,8,10,13],[3,4,6,7,9,11,14],[3,4,6,8,12,13,14],[3,5,6,9,11,12,13],[3,5,7,8,9,12,14],[4,5,6,8,10,11,12]]; G[8906]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8907: autom. group order 2, simple, residual B[8907]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,9,10],[1,3,5,6,10,13,14],[1,3,6,7,11,12,13],[1,4,5,7,10,12,14],[1,4,5,8,9,11,13],[1,4,9,10,12,13,14],[1,6,7,8,10,11,12],[1,7,8,9,11,13,14],[2,3,7,9,10,12,13],[2,3,8,10,11,12,14],[2,4,5,7,9,11,12],[2,4,6,7,8,13,14],[2,4,6,8,12,13,14],[2,5,6,9,10,11,13],[2,5,7,10,11,13,14],[3,4,5,7,8,10,13],[3,4,6,7,9,11,14],[3,4,6,9,10,11,14],[3,5,6,8,9,12,13],[3,5,7,8,9,12,14],[4,5,6,8,10,11,12]]; G[8907]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8908: autom. group order 2, simple, residual B[8908]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,9,12],[1,3,5,6,10,13,14],[1,3,6,7,10,11,13],[1,4,5,7,10,12,14],[1,4,5,8,9,11,13],[1,4,9,10,12,13,14],[1,6,7,8,10,11,12],[1,7,8,9,11,13,14],[2,3,7,9,10,12,13],[2,3,8,10,11,12,14],[2,4,5,7,9,10,11],[2,4,6,7,8,13,14],[2,4,6,8,10,13,14],[2,5,6,9,10,11,13],[2,5,7,11,12,13,14],[3,4,5,7,8,12,13],[3,4,6,7,9,11,14],[3,4,6,9,11,12,14],[3,5,6,8,9,12,13],[3,5,7,8,9,10,14],[4,5,6,8,10,11,12]]; G[8908]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8909: autom. group order 2, simple, residual B[8909]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,10,13],[1,3,5,6,10,13,14],[1,3,6,7,9,11,12],[1,4,5,7,10,12,14],[1,4,5,8,9,11,13],[1,4,9,10,12,13,14],[1,6,7,8,10,11,12],[1,7,8,9,11,13,14],[2,3,7,9,10,12,13],[2,3,8,10,11,12,14],[2,4,5,7,9,10,11],[2,4,6,7,8,9,14],[2,4,6,8,12,13,14],[2,5,6,9,11,12,13],[2,5,7,10,11,13,14],[3,4,5,7,8,12,13],[3,4,6,7,11,13,14],[3,4,6,9,10,11,14],[3,5,6,8,9,10,13],[3,5,7,8,9,12,14],[4,5,6,8,10,11,12]]; G[8909]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8910: autom. group order 2, simple, residual B[8910]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,12,13],[1,3,5,6,10,13,14],[1,3,6,7,9,10,11],[1,4,5,7,10,12,14],[1,4,5,8,9,11,13],[1,4,9,10,12,13,14],[1,6,7,8,10,11,12],[1,7,8,9,11,13,14],[2,3,7,9,10,12,13],[2,3,8,10,11,12,14],[2,4,5,7,9,10,11],[2,4,6,7,8,9,14],[2,4,6,8,10,13,14],[2,5,6,9,11,12,13],[2,5,7,10,11,13,14],[3,4,5,7,8,12,13],[3,4,6,7,11,13,14],[3,4,6,9,11,12,14],[3,5,6,8,9,10,13],[3,5,7,8,9,12,14],[4,5,6,8,10,11,12]]; G[8910]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8911: autom. group order 2, simple, residual B[8911]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,10,13],[1,3,5,6,10,13,14],[1,3,6,7,9,11,12],[1,4,5,7,10,12,14],[1,4,5,8,9,11,13],[1,4,9,10,12,13,14],[1,6,7,8,10,11,12],[1,7,8,9,11,13,14],[2,3,7,9,10,12,13],[2,3,8,10,11,12,14],[2,4,5,7,9,10,11],[2,4,6,7,8,13,14],[2,4,6,8,9,12,14],[2,5,6,9,10,11,13],[2,5,7,11,12,13,14],[3,4,5,7,8,12,13],[3,4,6,7,9,11,14],[3,4,6,10,11,13,14],[3,5,6,8,9,12,13],[3,5,7,8,9,10,14],[4,5,6,8,10,11,12]]; G[8911]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8912: autom. group order 2, simple, residual B[8912]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,12,13],[1,3,5,6,10,13,14],[1,3,6,7,9,10,11],[1,4,5,7,10,12,14],[1,4,5,8,9,11,13],[1,4,9,10,12,13,14],[1,6,7,8,10,11,12],[1,7,8,9,11,13,14],[2,3,7,9,10,12,13],[2,3,8,10,11,12,14],[2,4,5,7,9,11,12],[2,4,6,7,8,13,14],[2,4,6,8,9,10,14],[2,5,6,9,10,11,13],[2,5,7,10,11,13,14],[3,4,5,7,8,10,13],[3,4,6,7,9,11,14],[3,4,6,11,12,13,14],[3,5,6,8,9,12,13],[3,5,7,8,9,12,14],[4,5,6,8,10,11,12]]; G[8912]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8913: autom. group order 2, simple, residual B[8913]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,10,13],[1,3,5,6,10,13,14],[1,3,6,7,9,11,12],[1,4,5,7,10,12,14],[1,4,5,8,9,11,13],[1,4,9,10,12,13,14],[1,6,7,8,10,11,12],[1,7,8,9,11,13,14],[2,3,7,9,10,12,13],[2,3,8,10,11,12,14],[2,4,5,7,10,11,13],[2,4,6,7,8,9,14],[2,4,6,8,12,13,14],[2,5,6,9,11,12,13],[2,5,7,9,10,11,14],[3,4,5,7,8,9,12],[3,4,6,7,11,13,14],[3,4,6,9,10,11,14],[3,5,6,8,9,10,13],[3,5,7,8,12,13,14],[4,5,6,8,10,11,12]]; G[8913]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8914: autom. group order 2, simple, residual B[8914]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,12,13],[1,3,5,6,10,13,14],[1,3,6,7,9,10,11],[1,4,5,7,10,12,14],[1,4,5,8,9,11,13],[1,4,9,10,12,13,14],[1,6,7,8,10,11,12],[1,7,8,9,11,13,14],[2,3,7,9,10,12,13],[2,3,8,10,11,12,14],[2,4,5,7,10,11,13],[2,4,6,7,8,9,14],[2,4,6,8,10,13,14],[2,5,6,9,11,12,13],[2,5,7,9,10,11,14],[3,4,5,7,8,9,12],[3,4,6,7,11,13,14],[3,4,6,9,11,12,14],[3,5,6,8,9,10,13],[3,5,7,8,12,13,14],[4,5,6,8,10,11,12]]; G[8914]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8915: autom. group order 2, simple, residual B[8915]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,14],[1,2,6,7,8,9,12],[1,3,5,6,12,13,14],[1,3,6,7,10,11,13],[1,4,5,7,9,13,14],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,7,8,10,11,12,14],[2,3,7,9,10,12,13],[2,3,8,9,11,13,14],[2,4,5,7,8,10,13],[2,4,6,7,10,11,14],[2,4,6,9,11,12,14],[2,5,6,10,11,12,13],[2,5,7,8,12,13,14],[3,4,5,7,9,11,12],[3,4,6,7,8,12,14],[3,4,6,8,10,13,14],[3,5,6,8,9,10,12],[3,5,7,9,10,11,14],[4,5,6,8,9,11,13]]; G[8915]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8916: autom. group order 2, simple, residual B[8916]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,14],[1,2,6,7,8,9,12],[1,3,5,6,12,13,14],[1,3,6,7,10,11,13],[1,4,5,7,9,13,14],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,7,8,10,11,12,14],[2,3,7,9,10,12,13],[2,3,8,9,11,13,14],[2,4,5,7,8,12,13],[2,4,6,7,10,11,14],[2,4,6,9,11,12,14],[2,5,6,10,11,12,13],[2,5,7,8,10,13,14],[3,4,5,7,9,10,11],[3,4,6,7,8,12,14],[3,4,6,8,10,13,14],[3,5,6,8,9,10,12],[3,5,7,9,11,12,14],[4,5,6,8,9,11,13]]; G[8916]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8917: autom. group order 2, simple, residual B[8917]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,14],[1,2,6,7,8,9,12],[1,3,5,6,12,13,14],[1,3,6,7,10,11,13],[1,4,5,7,9,13,14],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,7,8,10,11,12,14],[2,3,7,9,10,12,13],[2,3,8,9,11,13,14],[2,4,5,7,8,10,13],[2,4,6,7,11,12,14],[2,4,6,10,11,13,14],[2,5,6,9,10,11,12],[2,5,7,8,12,13,14],[3,4,5,7,9,11,12],[3,4,6,7,8,10,14],[3,4,6,8,9,12,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,14],[4,5,6,8,9,11,13]]; G[8917]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8918: autom. group order 2, simple, residual B[8918]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,14],[1,2,6,7,8,9,12],[1,3,5,6,12,13,14],[1,3,6,7,10,11,13],[1,4,5,7,9,13,14],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,7,8,10,11,12,14],[2,3,7,9,10,12,13],[2,3,8,9,11,13,14],[2,4,5,7,8,12,13],[2,4,6,7,11,12,14],[2,4,6,10,11,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,13,14],[3,4,5,7,9,10,11],[3,4,6,7,8,10,14],[3,4,6,8,9,12,14],[3,5,6,8,10,12,13],[3,5,7,9,11,12,14],[4,5,6,8,9,11,13]]; G[8918]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8919: autom. group order 2, simple, residual B[8919]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,14],[1,2,6,7,8,9,12],[1,3,5,6,12,13,14],[1,3,6,7,10,11,13],[1,4,5,7,10,12,14],[1,4,5,8,9,11,13],[1,4,9,10,12,13,14],[1,6,7,8,10,11,12],[1,7,8,9,11,13,14],[2,3,7,9,10,12,13],[2,3,8,10,11,12,14],[2,4,5,7,8,10,13],[2,4,6,7,11,13,14],[2,4,6,9,11,12,14],[2,5,6,9,10,11,13],[2,5,7,8,12,13,14],[3,4,5,7,9,11,12],[3,4,6,7,8,9,14],[3,4,6,8,10,13,14],[3,5,6,8,9,12,13],[3,5,7,9,10,11,14],[4,5,6,8,10,11,12]]; G[8919]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8920: autom. group order 2, simple, residual B[8920]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,14],[1,2,6,7,8,9,12],[1,3,5,6,12,13,14],[1,3,6,7,10,11,13],[1,4,5,7,10,12,14],[1,4,5,8,9,11,13],[1,4,9,10,12,13,14],[1,6,7,8,10,11,12],[1,7,8,9,11,13,14],[2,3,7,9,10,12,13],[2,3,8,10,11,12,14],[2,4,5,7,8,12,13],[2,4,6,7,11,13,14],[2,4,6,9,11,12,14],[2,5,6,9,10,11,13],[2,5,7,8,10,13,14],[3,4,5,7,9,10,11],[3,4,6,7,8,9,14],[3,4,6,8,10,13,14],[3,5,6,8,9,12,13],[3,5,7,9,11,12,14],[4,5,6,8,10,11,12]]; G[8920]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8921: autom. group order 2, simple, residual B[8921]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,14],[1,2,6,7,8,12,13],[1,3,5,6,12,13,14],[1,3,6,7,9,10,11],[1,4,5,7,9,12,14],[1,4,5,8,10,11,13],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,7,8,10,11,13,14],[2,3,7,9,10,12,13],[2,3,8,9,11,12,14],[2,4,5,7,8,9,13],[2,4,6,7,10,11,14],[2,4,6,9,11,13,14],[2,5,6,10,11,12,13],[2,5,7,8,10,12,14],[3,4,5,7,10,11,12],[3,4,6,7,8,13,14],[3,4,6,8,10,12,14],[3,5,6,8,9,10,13],[3,5,7,9,11,13,14],[4,5,6,8,9,11,12]]; G[8921]:=Group([(2,3)(8,11)(9,12)(10,13)]); # Design 8922: autom. group order 2, simple, residual B[8922]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,14],[1,2,6,7,8,12,13],[1,3,5,6,12,13,14],[1,3,6,7,9,10,11],[1,4,5,7,9,12,14],[1,4,5,8,10,11,13],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,7,8,10,11,13,14],[2,3,7,9,10,12,13],[2,3,8,9,11,12,14],[2,4,5,7,8,9,13],[2,4,6,7,11,13,14],[2,4,6,10,11,12,14],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,7,10,11,12],[3,4,6,7,8,10,14],[3,4,6,8,9,13,14],[3,5,6,8,10,12,13],[3,5,7,9,11,13,14],[4,5,6,8,9,11,12]]; G[8922]:=Group([(2,3)(8,11)(9,12)(10,13)]); # Design 8923: autom. group order 2, simple, residual B[8923]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,14],[1,2,6,7,8,12,13],[1,3,5,6,12,13,14],[1,3,6,7,9,10,11],[1,4,5,7,9,12,14],[1,4,5,8,10,11,13],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,7,8,10,11,13,14],[2,3,7,9,10,12,13],[2,3,8,9,11,12,14],[2,4,5,7,8,10,12],[2,4,6,7,10,11,14],[2,4,6,9,11,13,14],[2,5,6,10,11,12,13],[2,5,7,8,9,13,14],[3,4,5,7,9,11,13],[3,4,6,7,8,13,14],[3,4,6,8,10,12,14],[3,5,6,8,9,10,13],[3,5,7,10,11,12,14],[4,5,6,8,9,11,12]]; G[8923]:=Group([(2,3)(8,11)(9,12)(10,13)]); # Design 8924: autom. group order 2, simple, residual B[8924]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,14],[1,2,6,7,8,12,13],[1,3,5,6,12,13,14],[1,3,6,7,9,10,11],[1,4,5,7,9,12,14],[1,4,5,8,10,11,13],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,7,8,10,11,13,14],[2,3,7,9,10,12,13],[2,3,8,9,11,12,14],[2,4,5,7,8,10,12],[2,4,6,7,11,13,14],[2,4,6,10,11,12,14],[2,5,6,9,10,11,13],[2,5,7,8,9,13,14],[3,4,5,7,9,11,13],[3,4,6,7,8,10,14],[3,4,6,8,9,13,14],[3,5,6,8,10,12,13],[3,5,7,10,11,12,14],[4,5,6,8,9,11,12]]; G[8924]:=Group([(2,3)(8,11)(9,12)(10,13)]); # Design 8925: autom. group order 2, simple, residual B[8925]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,14],[1,2,6,7,8,9,12],[1,3,5,6,12,13,14],[1,3,6,7,10,11,13],[1,4,5,7,10,12,14],[1,4,5,8,9,11,13],[1,4,9,10,12,13,14],[1,6,7,8,10,11,12],[1,7,8,9,11,13,14],[2,3,7,9,10,12,13],[2,3,8,10,11,12,14],[2,4,5,7,8,12,13],[2,4,6,7,9,11,14],[2,4,6,8,10,13,14],[2,5,6,9,11,12,13],[2,5,7,10,11,13,14],[3,4,5,7,9,10,11],[3,4,6,7,8,13,14],[3,4,6,9,11,12,14],[3,5,6,8,9,10,13],[3,5,7,8,9,12,14],[4,5,6,8,10,11,12]]; G[8925]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8926: autom. group order 2, simple, residual B[8926]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,14],[1,2,6,7,8,9,12],[1,3,5,6,12,13,14],[1,3,6,7,10,11,13],[1,4,5,7,10,12,14],[1,4,5,8,9,11,13],[1,4,9,10,12,13,14],[1,6,7,8,10,11,12],[1,7,8,9,11,13,14],[2,3,7,9,10,12,13],[2,3,8,10,11,12,14],[2,4,5,7,8,12,13],[2,4,6,7,11,13,14],[2,4,6,8,10,13,14],[2,5,6,9,10,11,13],[2,5,7,9,11,12,14],[3,4,5,7,9,10,11],[3,4,6,7,8,9,14],[3,4,6,9,11,12,14],[3,5,6,8,9,12,13],[3,5,7,8,10,13,14],[4,5,6,8,10,11,12]]; G[8926]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8927: autom. group order 2, simple, residual B[8927]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,14],[1,2,6,7,8,12,13],[1,3,5,6,12,13,14],[1,3,6,7,9,10,11],[1,4,5,7,9,12,14],[1,4,5,8,10,11,13],[1,4,9,10,12,13,14],[1,6,7,8,9,11,12],[1,7,8,10,11,13,14],[2,3,7,9,10,12,13],[2,3,8,9,11,12,14],[2,4,5,7,8,10,12],[2,4,6,7,10,11,14],[2,4,6,8,9,13,14],[2,5,6,10,11,12,13],[2,5,7,9,11,13,14],[3,4,5,7,9,11,13],[3,4,6,7,8,13,14],[3,4,6,10,11,12,14],[3,5,6,8,9,10,13],[3,5,7,8,10,12,14],[4,5,6,8,9,11,12]]; G[8927]:=Group([(2,3)(8,11)(9,12)(10,13)]); # Design 8928: autom. group order 2, simple, residual B[8928]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,9,10],[1,3,5,6,10,13,14],[1,3,6,7,11,12,13],[1,4,5,7,10,12,14],[1,4,5,8,9,11,13],[1,4,9,10,12,13,14],[1,6,7,8,10,11,12],[1,7,8,9,11,13,14],[2,3,7,9,10,12,13],[2,3,8,10,11,12,14],[2,4,5,7,8,12,13],[2,4,6,7,8,13,14],[2,4,6,9,11,12,14],[2,5,6,9,10,11,13],[2,5,7,10,11,13,14],[3,4,5,7,9,10,11],[3,4,6,7,9,11,14],[3,4,6,8,10,13,14],[3,5,6,8,9,12,13],[3,5,7,8,9,12,14],[4,5,6,8,10,11,12]]; G[8928]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8929: autom. group order 2, simple, residual B[8929]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,10,13],[1,3,5,6,10,13,14],[1,3,6,7,9,11,12],[1,4,5,7,10,12,14],[1,4,5,8,9,11,13],[1,4,9,10,12,13,14],[1,6,7,8,10,11,12],[1,7,8,9,11,13,14],[2,3,7,9,10,12,13],[2,3,8,10,11,12,14],[2,4,5,7,8,9,12],[2,4,6,7,8,13,14],[2,4,6,9,10,11,14],[2,5,6,9,10,11,13],[2,5,7,11,12,13,14],[3,4,5,7,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,12,13,14],[3,5,6,8,9,12,13],[3,5,7,8,9,10,14],[4,5,6,8,10,11,12]]; G[8929]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8930: autom. group order 2, simple, residual B[8930]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,12,13],[1,3,5,6,10,13,14],[1,3,6,7,9,10,11],[1,4,5,7,10,12,14],[1,4,5,8,9,11,13],[1,4,9,10,12,13,14],[1,6,7,8,10,11,12],[1,7,8,9,11,13,14],[2,3,7,9,10,12,13],[2,3,8,10,11,12,14],[2,4,5,7,8,9,10],[2,4,6,7,8,13,14],[2,4,6,9,11,12,14],[2,5,6,9,10,11,13],[2,5,7,10,11,13,14],[3,4,5,7,11,12,13],[3,4,6,7,9,11,14],[3,4,6,8,10,13,14],[3,5,6,8,9,12,13],[3,5,7,8,9,12,14],[4,5,6,8,10,11,12]]; G[8930]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8931: autom. group order 2, simple, residual B[8931]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,10,13],[1,3,5,6,10,13,14],[1,3,6,7,9,11,12],[1,4,5,7,10,12,14],[1,4,5,8,9,11,13],[1,4,9,10,12,13,14],[1,6,7,8,10,11,12],[1,7,8,9,11,13,14],[2,3,7,9,10,12,13],[2,3,8,10,11,12,14],[2,4,5,7,8,9,12],[2,4,6,7,8,13,14],[2,4,6,11,12,13,14],[2,5,6,9,10,11,13],[2,5,7,9,10,11,14],[3,4,5,7,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,9,10,14],[3,5,6,8,9,12,13],[3,5,7,8,12,13,14],[4,5,6,8,10,11,12]]; G[8931]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8932: autom. group order 2, simple, residual B[8932]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,10,13],[1,3,5,6,10,13,14],[1,3,6,7,9,11,12],[1,4,5,7,10,12,14],[1,4,5,8,9,11,13],[1,4,9,10,12,13,14],[1,6,7,8,10,11,12],[1,7,8,9,11,13,14],[2,3,7,9,10,12,13],[2,3,8,10,11,12,14],[2,4,5,7,8,12,13],[2,4,6,7,8,9,14],[2,4,6,10,11,13,14],[2,5,6,9,11,12,13],[2,5,7,9,10,11,14],[3,4,5,7,9,10,11],[3,4,6,7,11,13,14],[3,4,6,8,9,12,14],[3,5,6,8,9,10,13],[3,5,7,8,12,13,14],[4,5,6,8,10,11,12]]; G[8932]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8933: autom. group order 2, simple, residual B[8933]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,12,13],[1,3,5,6,10,13,14],[1,3,6,7,9,10,11],[1,4,5,7,10,12,14],[1,4,5,8,9,11,13],[1,4,9,10,12,13,14],[1,6,7,8,10,11,12],[1,7,8,9,11,13,14],[2,3,7,9,10,12,13],[2,3,8,10,11,12,14],[2,4,5,7,8,10,13],[2,4,6,7,8,9,14],[2,4,6,10,11,13,14],[2,5,6,9,11,12,13],[2,5,7,9,10,11,14],[3,4,5,7,9,11,12],[3,4,6,7,11,13,14],[3,4,6,8,9,12,14],[3,5,6,8,9,10,13],[3,5,7,8,12,13,14],[4,5,6,8,10,11,12]]; G[8933]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8934: autom. group order 2, simple, residual B[8934]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,9,10,13],[1,3,5,6,10,13,14],[1,3,6,7,11,12,14],[1,4,5,7,9,12,14],[1,4,5,9,10,11,13],[1,4,8,10,12,13,14],[1,6,7,8,10,11,12],[1,7,8,9,11,13,14],[2,3,7,8,9,13,14],[2,3,9,10,11,12,14],[2,4,5,7,12,13,14],[2,4,6,7,8,11,13],[2,4,6,8,10,12,14],[2,5,6,10,11,13,14],[2,5,7,9,10,11,12],[3,4,5,7,8,10,11],[3,4,6,7,9,10,14],[3,4,6,9,11,12,13],[3,5,6,8,9,12,13],[3,5,7,8,10,12,13],[4,5,6,8,9,11,14]]; G[8934]:=Group([(1,2)(5,8)(6,9)(7,10)]); # Design 8935: autom. group order 2, simple, residual B[8935]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,14],[1,2,6,7,9,10,12],[1,3,5,6,10,12,13],[1,3,6,7,11,13,14],[1,4,5,7,9,13,14],[1,4,5,9,10,11,12],[1,4,8,10,12,13,14],[1,6,7,8,10,11,13],[1,7,8,9,11,12,14],[2,3,7,8,9,12,13],[2,3,9,10,11,13,14],[2,4,5,7,12,13,14],[2,4,6,7,8,11,12],[2,4,6,8,10,13,14],[2,5,6,10,11,12,14],[2,5,7,9,10,11,13],[3,4,5,7,8,10,11],[3,4,6,7,9,10,14],[3,4,6,9,11,12,14],[3,5,6,8,9,12,13],[3,5,7,8,10,12,14],[4,5,6,8,9,11,13]]; G[8935]:=Group([(1,2)(5,8)(6,9)(7,10)]); # Design 8936: autom. group order 2, simple B[8936]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,7,10,11],[1,2,6,7,8,12,14],[1,3,5,6,9,12,13],[1,3,7,8,11,12,13],[1,4,5,7,10,13,14],[1,4,5,10,11,12,14],[1,4,6,9,11,13,14],[1,6,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,6,10,11,13,14],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,6,8,11,12,14],[2,4,7,9,10,12,13],[2,5,6,8,10,12,13],[2,5,7,9,12,13,14],[3,4,5,8,10,12,14],[3,4,6,7,8,10,13],[3,4,6,7,9,12,14],[3,5,6,9,10,11,12],[3,5,7,8,11,13,14],[4,5,6,7,8,9,11]]; G[8936]:=Group([(2,9)(3,8)(4,10)(5,14)(7,13)]); # Design 8937: autom. group order 2, simple, residual B[8937]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,9,10,13],[1,3,5,6,7,13,14],[1,3,7,9,11,12,14],[1,4,5,9,10,12,14],[1,4,5,10,12,13,14],[1,4,6,8,10,11,13],[1,6,7,8,10,11,12],[1,7,8,9,11,13,14],[2,3,6,10,11,12,14],[2,3,8,9,10,13,14],[2,4,5,7,9,11,13],[2,4,6,7,8,12,14],[2,4,7,8,12,13,14],[2,5,6,10,11,13,14],[2,5,7,9,10,11,12],[3,4,5,7,8,10,11],[3,4,6,7,9,10,14],[3,4,6,9,11,12,13],[3,5,6,8,9,12,13],[3,5,7,8,10,12,13],[4,5,6,8,9,11,14]]; G[8937]:=Group([(1,2)(5,8)(6,9)(7,10)]); # Design 8938: autom. group order 2, simple, residual B[8938]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,10,11,12],[1,2,6,7,8,11,13],[1,3,5,6,9,13,14],[1,3,7,10,12,13,14],[1,4,5,7,10,11,14],[1,4,5,9,11,12,13],[1,4,6,7,8,12,14],[1,6,8,9,10,11,14],[1,7,8,9,10,12,13],[2,3,6,10,12,13,14],[2,3,7,8,9,11,12],[2,4,5,8,10,12,14],[2,4,6,7,9,12,14],[2,4,9,10,11,13,14],[2,5,6,7,9,10,13],[2,5,7,8,11,13,14],[3,4,5,7,8,10,13],[3,4,6,7,9,10,11],[3,4,6,8,11,13,14],[3,5,6,8,10,11,12],[3,5,7,9,11,12,14],[4,5,6,8,9,12,13]]; G[8938]:=Group([(2,8)(3,9)(4,10)(5,14)(7,11)]); # Design 8939: autom. group order 2, simple, residual B[8939]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,9,10,13],[1,3,5,6,10,13,14],[1,3,7,9,11,12,14],[1,4,5,7,12,13,14],[1,4,5,9,10,11,13],[1,4,6,8,10,12,14],[1,6,7,8,11,13,14],[1,7,8,9,10,11,12],[2,3,6,10,11,12,14],[2,3,7,8,9,13,14],[2,4,5,7,9,12,14],[2,4,6,7,8,11,13],[2,4,8,10,12,13,14],[2,5,6,7,10,11,12],[2,5,9,10,11,13,14],[3,4,5,7,8,10,11],[3,4,6,7,9,10,14],[3,4,6,9,11,12,13],[3,5,6,8,9,12,13],[3,5,7,8,10,12,13],[4,5,6,8,9,11,14]]; G[8939]:=Group([(1,2)(5,8)(6,9)(7,10)]); # Design 8940: autom. group order 2, simple, residual B[8940]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,9,10,13],[1,3,5,6,10,13,14],[1,3,7,9,11,12,14],[1,4,5,7,12,13,14],[1,4,5,9,10,12,14],[1,4,6,8,10,11,13],[1,6,7,8,11,13,14],[1,7,8,9,10,11,12],[2,3,6,10,11,12,14],[2,3,7,8,9,13,14],[2,4,5,7,9,11,13],[2,4,6,7,8,12,14],[2,4,8,10,12,13,14],[2,5,6,7,10,11,12],[2,5,9,10,11,13,14],[3,4,5,7,8,10,11],[3,4,6,7,9,10,14],[3,4,6,9,11,12,13],[3,5,6,8,9,12,13],[3,5,7,8,10,12,13],[4,5,6,8,9,11,14]]; G[8940]:=Group([(1,2)(5,8)(6,9)(7,10)]); # Design 8941: autom. group order 2, simple B[8941]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,10,11,12],[1,2,6,8,11,13,14],[1,3,5,6,7,9,13],[1,3,7,8,11,12,13],[1,4,5,7,10,11,14],[1,4,5,10,12,13,14],[1,4,6,7,9,12,14],[1,6,8,9,10,11,14],[1,7,8,9,10,12,13],[2,3,6,10,12,13,14],[2,3,7,9,10,12,14],[2,4,5,8,9,11,12],[2,4,6,7,8,12,14],[2,4,7,9,10,11,13],[2,5,6,7,8,10,13],[2,5,7,9,11,13,14],[3,4,5,8,10,13,14],[3,4,6,7,8,10,11],[3,4,6,9,11,13,14],[3,5,6,9,10,11,12],[3,5,7,8,11,12,14],[4,5,6,8,9,12,13]]; G[8941]:=Group([(2,9)(3,8)(4,10)(5,14)(7,11)]); # Design 8942: autom. group order 2, simple, residual B[8942]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,10,11,12],[1,2,6,8,11,13,14],[1,3,5,6,7,9,13],[1,3,7,10,12,13,14],[1,4,5,7,10,11,14],[1,4,5,8,11,12,13],[1,4,6,7,9,12,14],[1,6,8,9,10,11,14],[1,7,8,9,10,12,13],[2,3,7,8,9,11,12],[2,3,7,10,11,13,14],[2,4,5,9,10,13,14],[2,4,6,7,8,12,14],[2,4,6,9,10,12,13],[2,5,6,7,8,10,13],[2,5,7,9,11,12,14],[3,4,5,8,10,12,14],[3,4,6,7,8,10,11],[3,4,6,9,11,13,14],[3,5,6,8,12,13,14],[3,5,6,9,10,11,12],[4,5,7,8,9,11,13]]; G[8942]:=Group([(2,9)(3,8)(4,10)(5,14)(7,11)]); # Design 8943: autom. group order 2, simple, residual B[8943]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,7,10,11],[1,2,6,10,12,13,14],[1,3,5,6,8,12,13],[1,3,7,9,10,12,14],[1,4,5,7,10,13,14],[1,4,5,9,11,12,13],[1,4,7,8,9,11,14],[1,6,7,8,11,12,14],[1,6,8,9,10,11,13],[2,3,6,9,11,12,14],[2,3,7,8,10,11,13],[2,4,5,6,8,11,14],[2,4,6,9,10,13,14],[2,4,7,8,12,13,14],[2,5,7,8,9,12,13],[2,5,7,9,10,11,12],[3,4,5,10,11,12,14],[3,4,6,7,8,10,12],[3,4,6,7,9,11,13],[3,5,6,7,9,13,14],[3,5,8,10,11,13,14],[4,5,6,8,9,10,12]]; G[8943]:=Group([(1,6)(2,7)(8,13)(10,11)]); # Design 8944: autom. group order 2, simple, residual B[8944]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,7,10,11],[1,2,6,11,12,13,14],[1,3,5,6,8,12,13],[1,3,7,9,11,12,14],[1,4,5,7,10,13,14],[1,4,5,9,10,12,13],[1,4,7,8,9,11,14],[1,6,7,8,10,12,14],[1,6,8,9,10,11,13],[2,3,6,9,10,12,14],[2,3,7,8,10,11,13],[2,4,5,6,8,11,14],[2,4,6,9,10,13,14],[2,4,7,8,12,13,14],[2,5,7,8,9,12,13],[2,5,7,9,10,11,12],[3,4,5,10,11,12,14],[3,4,6,7,8,10,12],[3,4,6,7,9,11,13],[3,5,6,7,9,13,14],[3,5,8,10,11,13,14],[4,5,6,8,9,11,12]]; G[8944]:=Group([(1,6)(2,7)(8,13)(10,11)]); # Design 8945: autom. group order 2, simple, residual B[8945]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,6,10,12,13,14],[1,3,5,6,8,10,13],[1,3,7,10,11,12,14],[1,4,5,7,9,13,14],[1,4,5,9,10,11,13],[1,4,7,8,11,12,14],[1,6,7,8,9,10,14],[1,6,8,9,11,12,13],[2,3,6,9,10,11,14],[2,3,7,8,9,12,13],[2,4,5,6,8,12,14],[2,4,6,9,11,13,14],[2,4,7,8,10,13,14],[2,5,7,8,10,11,13],[2,5,7,9,10,11,12],[3,4,5,9,10,12,14],[3,4,6,7,8,9,11],[3,4,6,7,10,12,13],[3,5,6,7,11,13,14],[3,5,8,9,12,13,14],[4,5,6,8,10,11,12]]; G[8945]:=Group([(1,6)(2,7)(8,13)(9,12)]); # Design 8946: autom. group order 2, simple, residual B[8946]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,7,10,11],[1,2,6,10,12,13,14],[1,3,5,6,8,12,13],[1,3,7,9,10,12,14],[1,4,5,7,8,11,14],[1,4,5,9,11,12,13],[1,4,7,9,10,13,14],[1,6,7,8,11,12,14],[1,6,8,9,10,11,13],[2,3,6,9,11,12,14],[2,3,7,8,10,11,13],[2,4,5,6,10,13,14],[2,4,6,8,9,11,14],[2,4,7,8,12,13,14],[2,5,7,8,9,12,13],[2,5,7,9,10,11,12],[3,4,5,10,11,12,14],[3,4,6,7,8,10,12],[3,4,6,7,9,11,13],[3,5,6,7,9,13,14],[3,5,8,10,11,13,14],[4,5,6,8,9,10,12]]; G[8946]:=Group([(1,6)(2,7)(8,13)(10,11)]); # Design 8947: autom. group order 2, simple, residual B[8947]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,7,8,11],[1,2,6,9,11,12,13],[1,3,5,6,10,12,14],[1,3,7,10,11,13,14],[1,4,5,7,10,12,13],[1,4,5,9,11,13,14],[1,4,7,8,9,10,12],[1,6,7,8,9,13,14],[1,6,8,10,11,12,14],[2,3,6,8,10,12,13],[2,3,7,9,12,13,14],[2,4,5,6,10,13,14],[2,4,6,9,10,11,14],[2,4,7,8,11,12,14],[2,5,7,8,10,11,13],[2,5,7,9,10,12,14],[3,4,5,8,11,12,14],[3,4,6,7,8,13,14],[3,4,6,7,9,10,11],[3,5,6,7,9,11,12],[3,5,8,9,10,11,13],[4,5,6,8,9,12,13]]; G[8947]:=Group([(1,6)(2,7)(8,11)(12,14)]); # Design 8948: autom. group order 2, simple, residual B[8948]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,7,8,11],[1,2,6,9,11,12,13],[1,3,5,6,10,12,14],[1,3,7,8,10,12,13],[1,4,5,7,10,12,13],[1,4,5,9,11,13,14],[1,4,7,9,10,11,14],[1,6,7,8,9,13,14],[1,6,8,10,11,12,14],[2,3,6,10,11,13,14],[2,3,7,9,12,13,14],[2,4,5,6,10,13,14],[2,4,6,8,9,10,12],[2,4,7,8,11,12,14],[2,5,7,8,10,11,13],[2,5,7,9,10,12,14],[3,4,5,8,11,12,14],[3,4,6,7,8,13,14],[3,4,6,7,9,10,11],[3,5,6,7,9,11,12],[3,5,8,9,10,11,13],[4,5,6,8,9,12,13]]; G[8948]:=Group([(1,6)(2,7)(8,11)(12,14)]); # Design 8949: autom. group order 2, simple, residual B[8949]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,7,8,11],[1,2,6,9,11,12,14],[1,3,5,6,10,13,14],[1,3,7,8,10,12,13],[1,4,5,7,10,12,14],[1,4,5,9,11,12,13],[1,4,7,9,10,11,14],[1,6,7,8,9,12,13],[1,6,8,10,11,13,14],[2,3,6,10,11,12,14],[2,3,7,9,12,13,14],[2,4,5,6,10,12,13],[2,4,6,8,9,10,13],[2,4,7,8,11,13,14],[2,5,7,8,10,11,12],[2,5,7,9,10,13,14],[3,4,5,8,11,13,14],[3,4,6,7,8,12,14],[3,4,6,7,9,10,11],[3,5,6,7,9,11,13],[3,5,8,9,10,11,12],[4,5,6,8,9,12,14]]; G[8949]:=Group([(1,6)(2,7)(8,11)(13,14)]); # Design 8950: autom. group order 2, simple, residual B[8950]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,9,10,13],[1,3,5,6,7,13,14],[1,3,7,9,11,12,14],[1,4,5,9,10,11,13],[1,4,5,10,12,13,14],[1,4,7,8,9,12,14],[1,6,7,8,10,11,12],[1,6,8,10,11,13,14],[2,3,6,10,11,12,14],[2,3,8,9,10,13,14],[2,4,5,6,10,12,14],[2,4,6,7,8,11,13],[2,4,7,8,12,13,14],[2,5,7,9,10,11,12],[2,5,7,9,11,13,14],[3,4,5,7,8,10,11],[3,4,6,7,9,10,14],[3,4,6,9,11,12,13],[3,5,6,8,9,12,13],[3,5,7,8,10,12,13],[4,5,6,8,9,11,14]]; G[8950]:=Group([(1,2)(5,8)(6,9)(7,10)]); # Design 8951: autom. group order 2, simple, residual B[8951]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,9,10,13],[1,3,5,6,7,13,14],[1,3,7,9,11,12,14],[1,4,5,9,10,12,14],[1,4,5,10,12,13,14],[1,4,7,8,9,11,13],[1,6,7,8,10,11,12],[1,6,8,10,11,13,14],[2,3,6,10,11,12,14],[2,3,8,9,10,13,14],[2,4,5,6,10,11,13],[2,4,6,7,8,12,14],[2,4,7,8,12,13,14],[2,5,7,9,10,11,12],[2,5,7,9,11,13,14],[3,4,5,7,8,10,11],[3,4,6,7,9,10,14],[3,4,6,9,11,12,13],[3,5,6,8,9,12,13],[3,5,7,8,10,12,13],[4,5,6,8,9,11,14]]; G[8951]:=Group([(1,2)(5,8)(6,9)(7,10)]); # Design 8952: autom. group order 2, simple, residual B[8952]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,14],[1,2,6,7,9,11,12],[1,3,5,6,9,10,13],[1,3,7,8,10,12,13],[1,4,5,7,9,12,13],[1,4,5,7,10,11,14],[1,4,8,9,11,13,14],[1,6,7,10,11,13,14],[1,6,8,9,10,12,14],[2,3,6,7,9,13,14],[2,3,10,11,12,13,14],[2,4,5,9,10,13,14],[2,4,6,7,8,13,14],[2,4,6,9,10,11,12],[2,5,7,8,9,10,11],[2,5,7,8,10,12,13],[3,4,5,6,10,12,14],[3,4,6,7,8,10,11],[3,4,7,8,9,12,14],[3,5,6,8,9,11,13],[3,5,7,9,11,12,14],[4,5,6,8,11,12,13]]; G[8952]:=Group([(1,10)(3,9)(6,13)(7,14)]); # Design 8953: autom. group order 2, simple, residual B[8953]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,14],[1,2,6,7,9,11,12],[1,3,5,6,9,10,13],[1,3,7,8,10,12,13],[1,4,5,7,10,11,14],[1,4,5,9,12,13,14],[1,4,7,8,9,11,13],[1,6,7,10,11,13,14],[1,6,8,9,10,12,14],[2,3,6,7,9,13,14],[2,3,10,11,12,13,14],[2,4,5,9,10,13,14],[2,4,6,7,8,13,14],[2,4,6,9,10,11,12],[2,5,7,8,9,10,11],[2,5,7,8,10,12,13],[3,4,5,6,7,10,12],[3,4,6,8,10,11,14],[3,4,7,8,9,12,14],[3,5,6,8,9,11,13],[3,5,7,9,11,12,14],[4,5,6,8,11,12,13]]; G[8953]:=Group([(1,10)(3,9)(6,13)(7,14)]); # Design 8954: autom. group order 2, simple B[8954]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,7,10,11],[1,2,6,8,11,12,13],[1,3,5,9,11,12,14],[1,3,6,7,10,12,14],[1,4,5,6,10,13,14],[1,4,5,7,9,12,13],[1,4,7,8,11,13,14],[1,6,8,9,10,11,12],[1,7,8,9,10,13,14],[2,3,6,7,8,9,13],[2,3,7,10,11,13,14],[2,4,5,8,10,12,14],[2,4,6,9,10,11,14],[2,4,6,9,12,13,14],[2,5,7,8,11,12,14],[2,5,7,9,10,12,13],[3,4,5,8,10,11,13],[3,4,6,7,8,12,14],[3,4,7,9,10,11,12],[3,5,6,8,10,12,13],[3,5,6,9,11,13,14],[4,5,6,7,8,9,11]]; G[8954]:=Group([(2,8)(3,9)(4,10)(5,14)(6,13)]); # Design 8955: autom. group order 2, simple, residual B[8955]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,7,10,11],[1,2,6,8,11,12,14],[1,3,5,9,11,12,13],[1,3,6,7,10,12,14],[1,4,5,6,10,13,14],[1,4,5,7,8,12,13],[1,4,7,9,11,13,14],[1,6,8,9,10,11,12],[1,7,8,9,10,13,14],[2,3,6,7,8,9,13],[2,3,7,10,11,13,14],[2,4,5,9,10,12,14],[2,4,6,8,12,13,14],[2,4,6,9,10,11,13],[2,5,7,8,10,12,13],[2,5,7,9,11,12,14],[3,4,5,8,10,11,14],[3,4,6,7,9,12,14],[3,4,7,8,10,11,12],[3,5,6,8,11,13,14],[3,5,6,9,10,12,13],[4,5,6,7,8,9,11]]; G[8955]:=Group([(2,9)(3,8)(4,10)(5,14)(6,13)]); # Design 8956: autom. group order 2, simple, residual B[8956]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,8,11,12],[1,2,6,7,9,11,13],[1,3,5,7,10,12,13],[1,3,6,7,9,12,14],[1,4,5,6,10,13,14],[1,4,5,7,10,11,14],[1,4,8,11,12,13,14],[1,6,8,9,10,11,14],[1,7,8,9,10,12,13],[2,3,6,10,11,13,14],[2,3,7,8,10,13,14],[2,4,5,9,10,12,14],[2,4,6,7,8,12,14],[2,4,6,9,10,12,13],[2,5,7,8,10,11,12],[2,5,7,9,11,13,14],[3,4,5,8,9,11,13],[3,4,6,7,8,10,11],[3,4,7,9,11,12,14],[3,5,6,8,12,13,14],[3,5,6,9,10,11,12],[4,5,6,7,8,9,13]]; G[8956]:=Group([(2,9)(3,8)(4,10)(5,14)(7,11)]); # Design 8957: autom. group order 2, simple, residual B[8957]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,6,8,11,13,14],[1,3,5,7,10,12,13],[1,3,6,8,9,10,13],[1,4,5,6,9,13,14],[1,4,5,10,11,12,14],[1,4,7,8,9,11,12],[1,6,7,8,10,12,14],[1,7,9,10,11,13,14],[2,3,6,7,10,11,14],[2,3,7,9,12,13,14],[2,4,5,9,10,13,14],[2,4,6,7,9,10,11],[2,4,7,8,12,13,14],[2,5,6,8,10,12,13],[2,5,8,9,10,11,12],[3,4,5,7,8,10,14],[3,4,6,8,9,12,14],[3,4,6,10,11,12,13],[3,5,6,9,11,12,14],[3,5,7,8,9,11,13],[4,5,6,7,8,11,13]]; G[8957]:=Group([(1,10)(3,9)(5,11)(12,14)]); # Design 8958: autom. group order 2, simple, residual B[8958]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,14],[1,2,6,8,11,12,14],[1,3,5,7,10,12,13],[1,3,6,8,9,10,12],[1,4,5,6,9,12,13],[1,4,5,10,11,13,14],[1,4,7,8,9,11,13],[1,6,7,8,10,13,14],[1,7,9,10,11,12,14],[2,3,6,7,10,11,13],[2,3,7,9,12,13,14],[2,4,5,9,10,12,14],[2,4,6,7,9,10,11],[2,4,7,8,12,13,14],[2,5,6,8,10,12,13],[2,5,8,9,10,11,13],[3,4,5,7,8,10,14],[3,4,6,8,9,13,14],[3,4,6,10,11,12,14],[3,5,6,9,11,13,14],[3,5,7,8,9,11,12],[4,5,6,7,8,11,12]]; G[8958]:=Group([(1,10)(3,9)(5,11)(13,14)]); # Design 8959: autom. group order 2, simple B[8959]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,7,10,11],[1,2,6,8,11,12,13],[1,3,5,9,11,12,14],[1,3,6,7,10,12,14],[1,4,5,6,10,13,14],[1,4,5,7,9,12,13],[1,4,7,8,11,13,14],[1,6,8,9,10,11,12],[1,7,8,9,10,13,14],[2,3,6,7,8,9,13],[2,3,7,10,11,13,14],[2,4,5,8,10,11,14],[2,4,6,9,10,12,14],[2,4,7,9,11,12,14],[2,5,6,8,12,13,14],[2,5,7,9,10,12,13],[3,4,5,8,10,12,13],[3,4,6,7,8,12,14],[3,4,6,9,10,11,13],[3,5,6,9,11,13,14],[3,5,7,8,10,11,12],[4,5,6,7,8,9,11]]; G[8959]:=Group([(2,8)(3,9)(4,10)(5,14)(6,13)]); # Design 8960: autom. group order 2, simple B[8960]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,7,10,11],[1,2,6,8,11,12,13],[1,3,5,9,11,12,14],[1,3,6,7,10,12,14],[1,4,5,6,10,13,14],[1,4,5,7,9,12,13],[1,4,7,8,11,13,14],[1,6,8,9,10,11,12],[1,7,8,9,10,13,14],[2,3,6,7,8,9,13],[2,3,7,10,11,13,14],[2,4,5,8,10,12,14],[2,4,6,9,10,11,14],[2,4,7,9,11,12,14],[2,5,6,8,12,13,14],[2,5,7,9,10,12,13],[3,4,5,8,10,11,13],[3,4,6,7,8,12,14],[3,4,6,9,10,12,13],[3,5,6,9,11,13,14],[3,5,7,8,10,11,12],[4,5,6,7,8,9,11]]; G[8960]:=Group([(2,8)(3,9)(4,10)(5,14)(6,13)]); # Design 8961: autom. group order 2, simple B[8961]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,7,10,11],[1,2,6,8,11,12,14],[1,3,5,9,11,12,13],[1,3,6,7,10,12,14],[1,4,5,6,10,13,14],[1,4,5,7,8,12,13],[1,4,7,9,11,13,14],[1,6,8,9,10,11,12],[1,7,8,9,10,13,14],[2,3,6,7,8,9,13],[2,3,7,10,11,13,14],[2,4,5,9,10,12,14],[2,4,6,9,10,11,13],[2,4,7,8,11,12,14],[2,5,6,9,12,13,14],[2,5,7,8,10,12,13],[3,4,5,8,10,11,14],[3,4,6,7,9,12,14],[3,4,6,8,10,12,13],[3,5,6,8,11,13,14],[3,5,7,9,10,11,12],[4,5,6,7,8,9,11]]; G[8961]:=Group([(2,9)(3,8)(4,10)(5,14)(6,13)]); # Design 8962: autom. group order 2, simple, residual B[8962]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,8,11,12],[1,2,6,7,9,11,13],[1,3,5,7,10,12,13],[1,3,6,7,9,12,14],[1,4,5,6,10,13,14],[1,4,5,7,10,11,14],[1,4,8,11,12,13,14],[1,6,8,9,10,11,14],[1,7,8,9,10,12,13],[2,3,6,10,11,13,14],[2,3,7,8,10,13,14],[2,4,5,9,10,12,14],[2,4,6,7,8,12,14],[2,4,7,9,10,11,12],[2,5,6,8,10,12,13],[2,5,7,9,11,13,14],[3,4,5,8,9,11,13],[3,4,6,7,8,10,11],[3,4,6,9,12,13,14],[3,5,6,9,10,11,12],[3,5,7,8,11,12,14],[4,5,6,7,8,9,13]]; G[8962]:=Group([(2,9)(3,8)(4,10)(5,14)(7,11)]); # Design 8963: autom. group order 2, simple, residual B[8963]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,11,12,14],[1,2,6,7,8,11,14],[1,3,5,7,10,11,13],[1,3,6,7,9,12,13],[1,4,5,6,9,10,12],[1,4,5,8,10,13,14],[1,4,7,8,10,11,12],[1,6,7,9,10,13,14],[1,8,9,11,12,13,14],[2,3,6,8,10,11,13],[2,3,7,9,10,12,14],[2,4,5,7,12,13,14],[2,4,6,8,9,12,13],[2,4,7,9,10,11,14],[2,5,6,9,10,11,13],[2,5,7,8,10,12,13],[3,4,5,9,11,13,14],[3,4,6,7,8,13,14],[3,4,6,10,11,12,14],[3,5,6,8,10,12,14],[3,5,7,8,9,11,12],[4,5,6,7,8,9,11]]; G[8963]:=Group([(1,13)(3,12)(5,8)(7,9)(10,14)]); # Design 8964: autom. group order 2, simple, residual B[8964]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,9,10,13],[1,3,5,7,9,13,14],[1,3,6,7,11,12,14],[1,4,5,6,10,12,14],[1,4,5,9,10,11,13],[1,4,7,8,12,13,14],[1,6,8,10,11,13,14],[1,7,8,9,10,11,12],[2,3,6,8,10,13,14],[2,3,9,10,11,12,14],[2,4,5,10,12,13,14],[2,4,6,7,8,11,13],[2,4,7,8,9,12,14],[2,5,6,7,10,11,12],[2,5,7,9,11,13,14],[3,4,5,7,8,10,11],[3,4,6,7,9,10,14],[3,4,6,9,11,12,13],[3,5,6,8,9,12,13],[3,5,7,8,10,12,13],[4,5,6,8,9,11,14]]; G[8964]:=Group([(1,2)(5,8)(6,9)(7,10)]); # Design 8965: autom. group order 2, simple, residual B[8965]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,6,7,9,12,14],[1,3,5,7,10,13,14],[1,3,6,8,9,11,13],[1,4,5,6,8,12,13],[1,4,5,7,10,11,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,14],[1,7,8,10,11,12,13],[2,3,6,10,11,12,14],[2,3,7,8,12,13,14],[2,4,5,8,9,13,14],[2,4,6,10,11,13,14],[2,4,7,8,9,10,11],[2,5,6,7,8,10,13],[2,5,7,9,11,12,13],[3,4,5,7,9,11,12],[3,4,6,7,8,10,12],[3,4,6,7,9,13,14],[3,5,6,9,10,11,13],[3,5,8,9,10,12,14],[4,5,6,8,11,12,14]]; G[8965]:=Group([(2,12)(3,13)(5,10)(6,9)(7,14)]); # Design 8966: autom. group order 2, simple, residual B[8966]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,8,11,12],[1,2,6,7,9,11,13],[1,3,5,10,11,12,13],[1,3,6,7,9,12,14],[1,4,5,6,10,13,14],[1,4,5,7,10,11,14],[1,4,7,8,12,13,14],[1,6,8,9,10,11,14],[1,7,8,9,10,12,13],[2,3,6,7,10,13,14],[2,3,8,10,11,13,14],[2,4,5,9,10,12,14],[2,4,6,8,12,13,14],[2,4,7,9,10,11,12],[2,5,6,7,8,10,12],[2,5,7,9,11,13,14],[3,4,5,7,8,9,13],[3,4,6,7,8,10,11],[3,4,6,9,11,12,14],[3,5,6,9,10,12,13],[3,5,7,8,11,12,14],[4,5,6,8,9,11,13]]; G[8966]:=Group([(2,9)(3,8)(4,10)(5,14)(7,11)]); # Design 8967: autom. group order 2, simple, residual B[8967]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,10,11,14],[1,2,6,8,10,12,13],[1,3,5,7,8,11,12],[1,3,6,7,9,11,13],[1,4,5,6,10,12,13],[1,4,5,7,9,13,14],[1,4,7,9,10,12,14],[1,6,7,8,10,11,14],[1,8,9,11,12,13,14],[2,3,6,9,12,13,14],[2,3,7,10,11,13,14],[2,4,5,8,11,12,14],[2,4,6,7,8,13,14],[2,4,7,9,10,11,12],[2,5,6,7,9,11,12],[2,5,7,8,9,10,13],[3,4,5,10,11,13,14],[3,4,6,7,8,12,14],[3,4,6,8,9,10,11],[3,5,6,9,10,12,14],[3,5,7,8,10,12,13],[4,5,6,8,9,11,13]]; G[8967]:=Group([(1,11)(3,12)(6,14)(7,8)]); # Design 8968: autom. group order 2, simple, residual B[8968]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,8,9,10,13],[1,3,5,7,10,12,13],[1,3,6,7,8,11,13],[1,4,5,6,10,13,14],[1,4,5,7,9,11,14],[1,4,8,10,11,12,14],[1,6,7,9,10,11,12],[1,7,8,9,12,13,14],[2,3,6,7,10,12,14],[2,3,9,11,12,13,14],[2,4,5,7,8,9,12],[2,4,6,7,9,11,13],[2,4,7,8,10,13,14],[2,5,6,8,10,11,12],[2,5,7,10,11,13,14],[3,4,5,9,10,12,13],[3,4,6,7,8,12,14],[3,4,6,9,10,11,14],[3,5,6,8,9,13,14],[3,5,7,8,9,10,11],[4,5,6,8,11,12,13]]; G[8968]:=Group([(1,9)(2,10)(5,11)(7,14)]); # Design 8969: autom. group order 2, simple, residual B[8969]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,6,8,9,13,14],[1,3,5,7,8,12,13],[1,3,6,7,10,11,13],[1,4,5,6,10,13,14],[1,4,5,7,9,11,14],[1,4,8,10,11,12,14],[1,6,7,9,11,12,14],[1,7,8,9,10,12,13],[2,3,6,7,10,12,14],[2,3,9,11,12,13,14],[2,4,5,7,9,12,13],[2,4,6,7,8,9,11],[2,4,7,8,10,13,14],[2,5,6,8,10,11,12],[2,5,7,10,11,13,14],[3,4,5,9,10,12,14],[3,4,6,7,8,12,14],[3,4,6,9,10,11,13],[3,5,6,8,9,13,14],[3,5,7,8,9,10,11],[4,5,6,8,11,12,13]]; G[8969]:=Group([(1,9)(2,10)(6,12)(7,14)]); # Design 8970: autom. group order 2, simple, residual B[8970]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,6,8,10,11,13],[1,3,5,9,10,13,14],[1,3,6,7,10,12,14],[1,4,5,6,8,12,13],[1,4,5,7,9,11,14],[1,4,9,10,12,13,14],[1,6,7,8,10,11,14],[1,7,8,9,11,12,13],[2,3,7,8,12,13,14],[2,3,7,9,10,11,12],[2,4,5,10,11,12,14],[2,4,6,7,10,13,14],[2,4,6,8,9,12,14],[2,5,6,9,10,11,13],[2,5,7,8,9,13,14],[3,4,5,7,8,10,13],[3,4,6,7,9,11,13],[3,4,6,8,9,11,14],[3,5,6,8,9,10,12],[3,5,6,11,12,13,14],[4,5,7,8,10,11,12]]; G[8970]:=Group([(2,13)(3,12)(5,9)(6,10)(7,14)]); # Design 8971: autom. group order 2, simple, residual B[8971]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,8,11,12],[1,2,6,7,9,11,13],[1,3,5,7,10,11,14],[1,3,6,10,12,13,14],[1,4,5,6,9,13,14],[1,4,5,7,10,12,13],[1,4,7,8,9,10,12],[1,6,7,8,10,11,14],[1,8,9,11,12,13,14],[2,3,7,8,10,11,13],[2,3,7,9,12,13,14],[2,4,5,10,11,13,14],[2,4,6,7,8,12,14],[2,4,6,9,10,11,14],[2,5,6,8,10,12,13],[2,5,7,9,10,12,14],[3,4,5,8,11,12,14],[3,4,6,7,8,13,14],[3,4,6,9,10,11,12],[3,5,6,7,9,11,12],[3,5,6,8,9,10,13],[4,5,7,8,9,11,13]]; G[8971]:=Group([(1,11)(2,12)(6,8)(7,14)]); # Design 8972: autom. group order 2, simple, residual B[8972]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,6,7,9,12,14],[1,3,5,7,10,13,14],[1,3,6,8,9,11,13],[1,4,5,6,8,12,13],[1,4,5,7,10,11,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,14],[1,7,8,10,11,12,13],[2,3,7,8,12,13,14],[2,3,7,9,10,11,12],[2,4,5,7,8,9,13],[2,4,6,7,10,11,13],[2,4,6,8,10,11,14],[2,5,6,11,12,13,14],[2,5,8,9,10,13,14],[3,4,5,9,11,12,14],[3,4,6,7,9,13,14],[3,4,6,8,10,12,14],[3,5,6,7,8,10,12],[3,5,6,9,10,11,13],[4,5,7,8,9,11,12]]; G[8972]:=Group([(2,12)(3,13)(5,10)(6,9)(7,14)]); # Design 8973: autom. group order 2, simple, residual B[8973]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,8,11,14],[1,2,6,10,12,13,14],[1,3,5,7,10,11,12],[1,3,6,7,9,11,13],[1,4,5,7,10,13,14],[1,4,5,8,11,12,13],[1,4,6,7,9,12,14],[1,6,8,9,10,12,13],[1,7,8,9,10,11,14],[2,3,6,10,11,12,14],[2,3,7,8,9,12,13],[2,4,5,6,9,10,13],[2,4,6,7,8,10,11],[2,4,7,9,11,13,14],[2,5,7,8,12,13,14],[2,5,7,9,10,11,12],[3,4,5,9,10,12,14],[3,4,6,7,8,12,14],[3,4,8,10,11,13,14],[3,5,6,7,8,10,13],[3,5,6,9,11,13,14],[4,5,6,8,9,11,12]]; G[8973]:=Group([(2,8)(3,9)(4,10)(5,14)(6,11)]); # Design 8974: autom. group order 2, simple, residual B[8974]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,8,11,14],[1,2,6,10,12,13,14],[1,3,5,7,10,11,12],[1,3,6,7,9,11,13],[1,4,5,7,10,13,14],[1,4,5,8,11,12,13],[1,4,6,7,9,12,14],[1,6,8,9,10,12,13],[1,7,8,9,10,11,14],[2,3,6,10,11,13,14],[2,3,7,8,9,12,13],[2,4,5,6,9,10,12],[2,4,6,7,8,10,11],[2,4,7,9,11,12,14],[2,5,7,8,12,13,14],[2,5,7,9,10,11,13],[3,4,5,9,10,13,14],[3,4,6,7,8,13,14],[3,4,8,10,11,12,14],[3,5,6,7,8,10,12],[3,5,6,9,11,12,14],[4,5,6,8,9,11,13]]; G[8974]:=Group([(2,8)(3,9)(4,10)(5,14)(6,11)]); # Design 8975: autom. group order 2, simple, residual B[8975]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,8,11,14],[1,2,6,10,12,13,14],[1,3,5,7,10,11,12],[1,3,6,7,9,11,13],[1,4,5,7,10,13,14],[1,4,5,8,11,12,13],[1,4,6,7,9,12,14],[1,6,8,9,10,12,13],[1,7,8,9,10,11,14],[2,3,6,10,11,13,14],[2,3,7,8,9,12,13],[2,4,5,6,9,10,12],[2,4,6,7,8,10,11],[2,4,7,9,11,13,14],[2,5,7,8,12,13,14],[2,5,7,9,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,8,12,14],[3,4,8,10,11,12,14],[3,5,6,7,8,10,13],[3,5,6,9,11,12,14],[4,5,6,8,9,11,13]]; G[8975]:=Group([(2,8)(3,9)(4,10)(5,14)(6,11)]); # Design 8976: autom. group order 2, simple, residual B[8976]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,8,9,10,13],[1,3,5,7,10,12,13],[1,3,6,7,8,11,13],[1,4,5,7,9,11,14],[1,4,5,8,10,12,14],[1,4,6,10,11,13,14],[1,6,7,9,10,11,12],[1,7,8,9,12,13,14],[2,3,6,7,10,12,14],[2,3,9,11,12,13,14],[2,4,5,6,7,9,13],[2,4,7,8,9,11,12],[2,4,7,8,10,13,14],[2,5,6,8,10,11,12],[2,5,7,10,11,13,14],[3,4,5,9,10,12,13],[3,4,6,7,8,12,14],[3,4,6,9,10,11,14],[3,5,6,8,9,13,14],[3,5,7,8,9,10,11],[4,5,6,8,11,12,13]]; G[8976]:=Group([(1,9)(2,10)(5,11)(7,14)]); # Design 8977: autom. group order 2, simple, residual B[8977]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,6,8,9,13,14],[1,3,5,7,8,12,13],[1,3,6,7,10,11,13],[1,4,5,7,9,11,14],[1,4,5,10,12,13,14],[1,4,6,8,10,11,14],[1,6,7,9,11,12,14],[1,7,8,9,10,12,13],[2,3,6,7,10,12,14],[2,3,9,11,12,13,14],[2,4,5,6,7,9,13],[2,4,7,8,9,11,12],[2,4,7,8,10,13,14],[2,5,6,8,10,11,12],[2,5,7,10,11,13,14],[3,4,5,9,10,12,14],[3,4,6,7,8,12,14],[3,4,6,9,10,11,13],[3,5,6,8,9,13,14],[3,5,7,8,9,10,11],[4,5,6,8,11,12,13]]; G[8977]:=Group([(1,9)(2,10)(6,12)(7,14)]); # Design 8978: autom. group order 2, simple, residual B[8978]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,6,8,9,13,14],[1,3,5,7,8,12,13],[1,3,6,10,11,13,14],[1,4,5,7,9,11,14],[1,4,5,10,12,13,14],[1,4,6,7,8,10,11],[1,6,7,9,11,12,14],[1,7,8,9,10,12,13],[2,3,6,7,10,12,14],[2,3,7,9,11,12,13],[2,4,5,6,7,9,13],[2,4,7,8,10,13,14],[2,4,8,9,11,12,14],[2,5,6,8,10,11,12],[2,5,7,10,11,13,14],[3,4,5,9,10,12,14],[3,4,6,7,8,12,14],[3,4,6,9,10,11,13],[3,5,6,8,9,13,14],[3,5,7,8,9,10,11],[4,5,6,8,11,12,13]]; G[8978]:=Group([(1,9)(2,10)(6,12)(7,14)]); # Design 8979: autom. group order 2, simple, residual B[8979]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,8,9,10,13],[1,3,5,10,12,13,14],[1,3,6,7,8,11,13],[1,4,5,7,8,10,12],[1,4,5,7,9,11,14],[1,4,6,10,11,13,14],[1,6,7,9,10,11,12],[1,7,8,9,12,13,14],[2,3,6,7,10,12,14],[2,3,7,9,11,12,13],[2,4,5,6,7,9,13],[2,4,7,8,10,13,14],[2,4,8,9,11,12,14],[2,5,6,8,10,11,12],[2,5,7,10,11,13,14],[3,4,5,9,10,12,13],[3,4,6,7,8,12,14],[3,4,6,9,10,11,14],[3,5,6,8,9,13,14],[3,5,7,8,9,10,11],[4,5,6,8,11,12,13]]; G[8979]:=Group([(1,9)(2,10)(5,11)(7,14)]); # Design 8980: autom. group order 2, simple, residual B[8980]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,7,11,12],[1,2,6,8,10,11,13],[1,3,5,10,12,13,14],[1,3,6,7,9,10,12],[1,4,5,7,9,11,14],[1,4,5,8,12,13,14],[1,4,6,8,10,11,14],[1,6,7,9,10,13,14],[1,7,8,9,11,12,13],[2,3,6,7,8,13,14],[2,3,9,10,11,12,14],[2,4,5,7,9,10,13],[2,4,6,9,11,12,14],[2,4,7,10,12,13,14],[2,5,6,8,9,12,13],[2,5,7,8,10,11,14],[3,4,5,6,10,11,13],[3,4,6,7,8,12,14],[3,4,7,8,9,11,13],[3,5,6,9,11,13,14],[3,5,7,8,10,11,12],[4,5,6,8,9,10,12]]; G[8980]:=Group([(1,11)(2,13)(5,9)(6,8)]); # Design 8981: autom. group order 2, simple, residual B[8981]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,6,7,8,10,12],[1,3,5,9,10,13,14],[1,3,6,7,11,12,14],[1,4,5,7,8,10,13],[1,4,5,7,9,11,14],[1,4,6,8,9,12,14],[1,6,8,10,11,13,14],[1,7,9,10,11,12,13],[2,3,6,7,9,10,11],[2,3,8,9,12,13,14],[2,4,5,10,11,12,14],[2,4,6,10,11,13,14],[2,4,7,8,9,11,13],[2,5,6,7,8,13,14],[2,5,7,9,10,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,13,14],[3,4,7,8,10,12,14],[3,5,6,8,9,10,11],[3,5,7,8,11,12,13],[4,5,6,8,9,11,12]]; G[8981]:=Group([(1,7)(2,8)(3,13)(4,5)(6,10)(9,14)]); # Design 8982: autom. group order 2, simple, residual B[8982]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,8,10,12,14],[1,3,5,7,10,11,12],[1,3,6,7,9,12,13],[1,4,5,7,8,9,13],[1,4,5,9,10,13,14],[1,4,10,11,12,13,14],[1,6,7,8,9,11,14],[1,6,7,8,10,11,13],[2,3,7,8,10,13,14],[2,3,7,9,11,13,14],[2,4,5,6,8,11,13],[2,4,6,7,12,13,14],[2,4,7,8,9,10,12],[2,5,6,9,10,11,13],[2,5,7,9,10,11,12],[3,4,5,6,7,10,14],[3,4,6,8,9,11,12],[3,4,6,9,10,11,14],[3,5,6,8,10,12,13],[3,5,8,9,12,13,14],[4,5,7,8,11,12,14]]; G[8982]:=Group([(1,3)(5,11)(6,13)(7,12)]); # Design 8983: autom. group order 2, simple, residual B[8983]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,10,11,12],[1,2,6,7,8,11,13],[1,3,5,7,9,11,14],[1,3,10,11,12,13,14],[1,4,5,6,10,13,14],[1,4,5,7,9,12,13],[1,4,6,7,8,12,14],[1,6,8,9,10,11,14],[1,7,8,9,10,12,13],[2,3,6,7,10,13,14],[2,3,6,8,9,12,13],[2,4,5,8,10,13,14],[2,4,6,9,11,12,14],[2,4,7,9,10,12,14],[2,5,7,8,11,12,14],[2,5,7,9,10,11,13],[3,4,5,8,10,11,12],[3,4,6,7,9,10,11],[3,4,7,8,11,13,14],[3,5,6,7,8,10,12],[3,5,6,9,12,13,14],[4,5,6,8,9,11,13]]; G[8983]:=Group([(2,8)(3,9)(4,10)(5,14)(7,11)]); # Design 8984: autom. group order 2, simple, residual B[8984]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,9,10,13],[1,3,5,9,10,13,14],[1,3,7,9,11,12,14],[1,4,5,6,10,12,14],[1,4,5,7,12,13,14],[1,4,6,7,8,11,13],[1,6,8,10,11,13,14],[1,7,8,9,10,11,12],[2,3,6,7,8,13,14],[2,3,6,10,11,12,14],[2,4,5,9,10,11,13],[2,4,7,8,9,12,14],[2,4,8,10,12,13,14],[2,5,6,7,10,11,12],[2,5,7,9,11,13,14],[3,4,5,7,8,10,11],[3,4,6,7,9,10,14],[3,4,6,9,11,12,13],[3,5,6,8,9,12,13],[3,5,7,8,10,12,13],[4,5,6,8,9,11,14]]; G[8984]:=Group([(1,2)(5,8)(6,9)(7,10)]); # Design 8985: autom. group order 2, simple, residual B[8985]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,9,10,13],[1,3,5,9,10,13,14],[1,3,7,9,11,12,14],[1,4,5,6,10,11,13],[1,4,5,7,12,13,14],[1,4,6,8,10,12,14],[1,6,7,8,11,13,14],[1,7,8,9,10,11,12],[2,3,6,7,8,13,14],[2,3,6,10,11,12,14],[2,4,5,7,9,12,14],[2,4,7,8,9,11,13],[2,4,8,10,12,13,14],[2,5,6,7,10,11,12],[2,5,9,10,11,13,14],[3,4,5,7,8,10,11],[3,4,6,7,9,10,14],[3,4,6,9,11,12,13],[3,5,6,8,9,12,13],[3,5,7,8,10,12,13],[4,5,6,8,9,11,14]]; G[8985]:=Group([(1,2)(5,8)(6,9)(7,10)]); # Design 8986: autom. group order 2, simple, residual B[8986]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,9,10,13],[1,3,5,9,10,13,14],[1,3,7,9,11,12,14],[1,4,5,6,10,12,14],[1,4,5,7,12,13,14],[1,4,6,8,10,11,13],[1,6,7,8,11,13,14],[1,7,8,9,10,11,12],[2,3,6,7,8,13,14],[2,3,6,10,11,12,14],[2,4,5,7,9,11,13],[2,4,7,8,9,12,14],[2,4,8,10,12,13,14],[2,5,6,7,10,11,12],[2,5,9,10,11,13,14],[3,4,5,7,8,10,11],[3,4,6,7,9,10,14],[3,4,6,9,11,12,13],[3,5,6,8,9,12,13],[3,5,7,8,10,12,13],[4,5,6,8,9,11,14]]; G[8986]:=Group([(1,2)(5,8)(6,9)(7,10)]); # Design 8987: autom. group order 2, simple, residual B[8987]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,6,8,9,11,13],[1,3,5,9,10,12,14],[1,3,7,8,10,13,14],[1,4,5,6,10,13,14],[1,4,5,7,10,11,12],[1,4,6,9,11,13,14],[1,6,7,8,9,12,14],[1,7,8,10,11,12,13],[2,3,6,10,11,12,14],[2,3,7,9,12,13,14],[2,4,5,8,12,13,14],[2,4,6,7,8,10,14],[2,4,7,9,10,11,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,13],[3,4,5,7,8,9,13],[3,4,6,7,8,11,12],[3,4,6,9,10,12,13],[3,5,6,7,11,13,14],[3,5,6,8,9,10,11],[4,5,8,9,11,12,14]]; G[8987]:=Group([(1,7)(2,13)(4,14)(5,8)(6,10)(9,11)]); # Design 8988: autom. group order 2, simple, residual B[8988]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,8,11,12],[1,2,6,9,11,13,14],[1,3,5,7,10,11,14],[1,3,7,8,10,12,13],[1,4,5,6,7,9,13],[1,4,5,10,12,13,14],[1,4,6,9,10,12,14],[1,6,7,8,10,11,14],[1,7,8,9,11,12,13],[2,3,6,10,11,13,14],[2,3,7,9,12,13,14],[2,4,5,7,10,11,13],[2,4,6,7,8,12,14],[2,4,7,8,9,10,11],[2,5,6,8,10,12,13],[2,5,7,9,10,12,14],[3,4,5,8,11,12,14],[3,4,6,7,8,13,14],[3,4,6,9,10,11,12],[3,5,6,7,9,11,12],[3,5,6,8,9,10,13],[4,5,8,9,11,13,14]]; G[8988]:=Group([(1,11)(2,12)(6,8)(7,14)]); # Design 8989: autom. group order 2, simple, residual B[8989]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,6,8,9,13,14],[1,3,5,8,10,12,13],[1,3,7,9,10,11,13],[1,4,5,6,10,11,14],[1,4,5,7,12,13,14],[1,4,7,8,9,11,14],[1,6,7,8,10,12,13],[1,6,9,10,11,12,14],[2,3,6,11,12,13,14],[2,3,7,9,10,12,14],[2,4,5,6,9,10,13],[2,4,6,8,10,11,12],[2,4,7,8,10,13,14],[2,5,7,8,9,11,12],[2,5,7,10,11,13,14],[3,4,5,9,10,12,14],[3,4,6,7,8,12,14],[3,4,6,7,9,11,13],[3,5,6,7,8,10,11],[3,5,6,8,9,13,14],[4,5,8,9,11,12,13]]; G[8989]:=Group([(1,6)(2,7)(9,12)(10,14)]); # Design 8990: autom. group order 2, simple, residual B[8990]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,6,8,9,13,14],[1,3,5,8,10,12,13],[1,3,7,9,11,13,14],[1,4,5,6,10,11,14],[1,4,5,7,12,13,14],[1,4,7,8,9,10,11],[1,6,7,8,10,12,13],[1,6,9,10,11,12,14],[2,3,6,10,11,12,13],[2,3,7,9,10,12,14],[2,4,5,6,9,10,13],[2,4,6,8,11,12,14],[2,4,7,8,10,13,14],[2,5,7,8,9,11,12],[2,5,7,10,11,13,14],[3,4,5,9,10,12,14],[3,4,6,7,8,12,14],[3,4,6,7,9,11,13],[3,5,6,7,8,10,11],[3,5,6,8,9,13,14],[4,5,8,9,11,12,13]]; G[8990]:=Group([(1,6)(2,7)(9,12)(10,14)]); # Design 8991: autom. group order 2, simple, residual B[8991]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,6,8,10,12,13],[1,3,5,8,9,13,14],[1,3,7,9,10,11,13],[1,4,5,6,10,11,14],[1,4,5,7,12,13,14],[1,4,7,8,10,11,12],[1,6,7,8,9,13,14],[1,6,9,10,11,12,14],[2,3,6,11,12,13,14],[2,3,7,9,10,12,14],[2,4,5,6,9,10,13],[2,4,6,8,9,11,14],[2,4,7,8,10,13,14],[2,5,7,8,9,11,12],[2,5,7,10,11,13,14],[3,4,5,9,10,12,14],[3,4,6,7,8,12,14],[3,4,6,7,9,11,13],[3,5,6,7,8,10,11],[3,5,6,8,10,12,13],[4,5,8,9,11,12,13]]; G[8991]:=Group([(1,6)(2,7)(9,12)(10,14)]); # Design 8992: autom. group order 2, simple, residual B[8992]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,6,8,10,12,13],[1,3,5,8,9,13,14],[1,3,7,11,12,13,14],[1,4,5,6,10,11,14],[1,4,5,7,9,10,13],[1,4,7,8,10,11,12],[1,6,7,8,9,13,14],[1,6,9,10,11,12,14],[2,3,6,9,10,11,13],[2,3,7,9,10,12,14],[2,4,5,6,12,13,14],[2,4,6,8,9,11,14],[2,4,7,8,10,13,14],[2,5,7,8,9,11,12],[2,5,7,10,11,13,14],[3,4,5,9,10,12,14],[3,4,6,7,8,12,14],[3,4,6,7,9,11,13],[3,5,6,7,8,10,11],[3,5,6,8,10,12,13],[4,5,8,9,11,12,13]]; G[8992]:=Group([(1,6)(2,7)(9,12)(10,14)]); # Design 8993: autom. group order 2, simple, residual B[8993]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,6,8,10,12,13],[1,3,5,8,9,13,14],[1,3,7,10,11,12,13],[1,4,5,6,10,11,14],[1,4,5,7,12,13,14],[1,4,7,8,9,10,11],[1,6,7,8,9,13,14],[1,6,9,10,11,12,14],[2,3,6,9,11,13,14],[2,3,7,9,10,12,14],[2,4,5,6,9,10,13],[2,4,6,8,11,12,14],[2,4,7,8,10,13,14],[2,5,7,8,9,11,12],[2,5,7,10,11,13,14],[3,4,5,9,10,12,14],[3,4,6,7,8,12,14],[3,4,6,7,9,11,13],[3,5,6,7,8,10,11],[3,5,6,8,10,12,13],[4,5,8,9,11,12,13]]; G[8993]:=Group([(1,6)(2,7)(9,12)(10,14)]); # Design 8994: autom. group order 2, simple, residual B[8994]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,6,8,10,12,13],[1,3,5,8,9,13,14],[1,3,7,11,12,13,14],[1,4,5,6,10,11,14],[1,4,5,7,10,12,13],[1,4,7,8,9,10,11],[1,6,7,8,9,13,14],[1,6,9,10,11,12,14],[2,3,6,9,10,11,13],[2,3,7,9,10,12,14],[2,4,5,6,9,13,14],[2,4,6,8,11,12,14],[2,4,7,8,10,13,14],[2,5,7,8,9,11,12],[2,5,7,10,11,13,14],[3,4,5,9,10,12,14],[3,4,6,7,8,12,14],[3,4,6,7,9,11,13],[3,5,6,7,8,10,11],[3,5,6,8,10,12,13],[4,5,8,9,11,12,13]]; G[8994]:=Group([(1,6)(2,7)(9,12)(10,14)]); # Design 8995: autom. group order 2, simple B[8995]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,10,11,14],[1,3,5,7,9,11,13],[1,3,8,10,12,13,14],[1,4,5,6,12,13,14],[1,4,5,7,9,10,12],[1,4,9,10,11,13,14],[1,6,7,8,9,10,13],[1,6,7,8,11,12,14],[2,3,6,9,10,12,14],[2,3,7,9,12,13,14],[2,4,5,6,10,13,14],[2,4,6,8,9,11,13],[2,4,7,8,10,11,12],[2,5,7,8,9,13,14],[2,5,7,10,11,12,13],[3,4,5,7,8,10,14],[3,4,6,7,8,12,13],[3,4,6,7,9,11,14],[3,5,6,8,10,11,13],[3,5,6,9,10,11,12],[4,5,8,9,11,12,14]]; G[8995]:=Group([(2,10)(3,9)(5,13)(6,14)(7,11)]); # Design 8996: autom. group order 2, simple, residual B[8996]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,14],[1,2,7,9,11,12,13],[1,3,5,6,9,10,13],[1,3,7,8,10,12,13],[1,4,5,6,7,9,12],[1,4,5,7,10,11,14],[1,4,8,9,11,13,14],[1,6,7,10,11,13,14],[1,6,8,9,10,12,14],[2,3,6,7,9,13,14],[2,3,6,10,11,12,14],[2,4,5,9,10,13,14],[2,4,6,7,8,13,14],[2,4,6,9,10,11,12],[2,5,7,8,9,10,11],[2,5,7,8,10,12,13],[3,4,5,10,12,13,14],[3,4,6,7,8,10,11],[3,4,7,8,9,12,14],[3,5,6,8,9,11,13],[3,5,7,9,11,12,14],[4,5,6,8,11,12,13]]; G[8996]:=Group([(1,10)(3,9)(6,13)(7,14)]); # Design 8997: autom. group order 2, simple, residual B[8997]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,7,8,9,10,14],[1,3,5,6,10,13,14],[1,3,7,11,12,13,14],[1,4,5,6,7,9,13],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,9,11,13],[2,3,7,9,10,12,13],[2,4,5,7,9,11,12],[2,4,6,7,10,11,14],[2,4,6,10,11,13,14],[2,5,6,8,10,12,13],[2,5,7,8,12,13,14],[3,4,5,7,8,10,13],[3,4,6,7,8,12,14],[3,4,6,8,9,12,14],[3,5,6,9,10,11,12],[3,5,7,9,10,11,14],[4,5,8,9,11,13,14]]; G[8997]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8998: autom. group order 2, simple, residual B[8998]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,7,8,9,10,14],[1,3,5,6,10,13,14],[1,3,7,11,12,13,14],[1,4,5,6,7,9,13],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,9,11,13],[2,3,7,9,10,12,13],[2,4,5,7,10,11,13],[2,4,6,7,10,11,14],[2,4,6,9,11,12,14],[2,5,6,8,10,12,13],[2,5,7,8,12,13,14],[3,4,5,7,8,9,12],[3,4,6,7,8,12,14],[3,4,6,8,10,13,14],[3,5,6,9,10,11,12],[3,5,7,9,10,11,14],[4,5,8,9,11,13,14]]; G[8998]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 8999: autom. group order 2, simple, residual B[8999]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,7,8,10,13,14],[1,3,5,6,10,13,14],[1,3,7,9,11,12,14],[1,4,5,6,7,9,13],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,9,11,13],[2,3,7,9,10,12,13],[2,4,5,7,9,10,11],[2,4,6,7,11,12,14],[2,4,6,10,11,13,14],[2,5,6,8,9,10,12],[2,5,7,8,12,13,14],[3,4,5,7,8,12,13],[3,4,6,7,8,10,14],[3,4,6,8,9,12,14],[3,5,6,10,11,12,13],[3,5,7,9,10,11,14],[4,5,8,9,11,13,14]]; G[8999]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 9000: autom. group order 2, simple, residual B[9000]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,7,8,12,13,14],[1,3,5,6,10,13,14],[1,3,7,9,10,11,14],[1,4,5,6,7,9,13],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,9,11,13],[2,3,7,9,10,12,13],[2,4,5,7,9,10,11],[2,4,6,7,11,12,14],[2,4,6,10,11,13,14],[2,5,6,8,9,10,12],[2,5,7,8,10,13,14],[3,4,5,7,8,12,13],[3,4,6,7,8,10,14],[3,4,6,8,9,12,14],[3,5,6,10,11,12,13],[3,5,7,9,11,12,14],[4,5,8,9,11,13,14]]; G[9000]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 9001: autom. group order 2, simple, residual B[9001]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,7,8,10,13,14],[1,3,5,6,10,13,14],[1,3,7,9,11,12,14],[1,4,5,6,7,9,13],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,9,11,13],[2,3,7,9,10,12,13],[2,4,5,7,9,10,11],[2,4,6,7,10,11,14],[2,4,6,11,12,13,14],[2,5,6,8,10,12,13],[2,5,7,8,9,12,14],[3,4,5,7,8,12,13],[3,4,6,7,8,12,14],[3,4,6,8,9,10,14],[3,5,6,9,10,11,12],[3,5,7,10,11,13,14],[4,5,8,9,11,13,14]]; G[9001]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 9002: autom. group order 2, simple, residual B[9002]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,7,8,12,13,14],[1,3,5,6,10,13,14],[1,3,7,9,10,11,14],[1,4,5,6,7,9,13],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,9,11,13],[2,3,7,9,10,12,13],[2,4,5,7,9,11,12],[2,4,6,7,10,11,14],[2,4,6,10,11,13,14],[2,5,6,8,10,12,13],[2,5,7,8,9,10,14],[3,4,5,7,8,10,13],[3,4,6,7,8,12,14],[3,4,6,8,9,12,14],[3,5,6,9,10,11,12],[3,5,7,11,12,13,14],[4,5,8,9,11,13,14]]; G[9002]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 9003: autom. group order 2, simple, residual B[9003]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,7,8,10,13,14],[1,3,5,6,10,13,14],[1,3,7,9,11,12,14],[1,4,5,6,7,9,13],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,9,11,13],[2,3,7,9,10,12,13],[2,4,5,7,10,11,13],[2,4,6,7,11,12,14],[2,4,6,9,10,11,14],[2,5,6,8,9,10,12],[2,5,7,8,12,13,14],[3,4,5,7,8,9,12],[3,4,6,7,8,10,14],[3,4,6,8,12,13,14],[3,5,6,10,11,12,13],[3,5,7,9,10,11,14],[4,5,8,9,11,13,14]]; G[9003]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 9004: autom. group order 2, simple, residual B[9004]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,7,8,10,13,14],[1,3,5,6,10,13,14],[1,3,7,9,11,12,14],[1,4,5,6,7,9,13],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,9,11,13],[2,3,7,9,10,12,13],[2,4,5,7,11,12,13],[2,4,6,7,10,11,14],[2,4,6,9,10,11,14],[2,5,6,8,10,12,13],[2,5,7,8,9,12,14],[3,4,5,7,8,9,10],[3,4,6,7,8,12,14],[3,4,6,8,12,13,14],[3,5,6,9,10,11,12],[3,5,7,10,11,13,14],[4,5,8,9,11,13,14]]; G[9004]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 9005: autom. group order 2, simple, residual B[9005]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,7,8,12,13,14],[1,3,5,6,10,13,14],[1,3,7,9,10,11,14],[1,4,5,6,7,9,13],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,9,11,13],[2,3,7,9,10,12,13],[2,4,5,7,10,11,13],[2,4,6,7,10,11,14],[2,4,6,9,11,12,14],[2,5,6,8,10,12,13],[2,5,7,8,9,10,14],[3,4,5,7,8,9,12],[3,4,6,7,8,12,14],[3,4,6,8,10,13,14],[3,5,6,9,10,11,12],[3,5,7,11,12,13,14],[4,5,8,9,11,13,14]]; G[9005]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 9006: autom. group order 2, simple, residual B[9006]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,14],[1,2,7,8,9,12,14],[1,3,5,6,12,13,14],[1,3,7,10,11,13,14],[1,4,5,6,7,9,13],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,9,11,13],[2,3,7,9,10,12,13],[2,4,5,7,9,11,12],[2,4,6,7,10,11,14],[2,4,6,8,12,13,14],[2,5,6,10,11,12,13],[2,5,7,8,10,13,14],[3,4,5,7,8,10,13],[3,4,6,7,8,12,14],[3,4,6,9,10,11,14],[3,5,6,8,9,10,12],[3,5,7,9,11,12,14],[4,5,8,9,11,13,14]]; G[9006]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 9007: autom. group order 2, simple, residual B[9007]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,14],[1,2,7,8,9,12,14],[1,3,5,6,12,13,14],[1,3,7,10,11,13,14],[1,4,5,6,7,10,12],[1,4,5,8,9,11,13],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,10,11,12],[2,3,7,9,10,12,13],[2,4,5,7,9,11,12],[2,4,6,7,11,13,14],[2,4,6,8,10,13,14],[2,5,6,9,10,11,13],[2,5,7,8,12,13,14],[3,4,5,7,8,10,13],[3,4,6,7,8,9,14],[3,4,6,9,11,12,14],[3,5,6,8,9,12,13],[3,5,7,9,10,11,14],[4,5,8,10,11,12,14]]; G[9007]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 9008: autom. group order 2, simple, residual B[9008]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,14],[1,2,7,8,9,12,14],[1,3,5,6,12,13,14],[1,3,7,10,11,13,14],[1,4,5,6,7,10,12],[1,4,5,8,9,11,13],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,10,11,12],[2,3,7,9,10,12,13],[2,4,5,7,9,11,12],[2,4,6,7,11,13,14],[2,4,6,8,12,13,14],[2,5,6,9,10,11,13],[2,5,7,8,10,13,14],[3,4,5,7,8,10,13],[3,4,6,7,8,9,14],[3,4,6,9,10,11,14],[3,5,6,8,9,12,13],[3,5,7,9,11,12,14],[4,5,8,10,11,12,14]]; G[9008]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 9009: autom. group order 2, simple, residual B[9009]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,14],[1,2,7,8,9,12,14],[1,3,5,6,12,13,14],[1,3,7,10,11,13,14],[1,4,5,6,7,10,12],[1,4,5,8,9,11,13],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,10,11,12],[2,3,7,9,10,12,13],[2,4,5,7,10,11,13],[2,4,6,7,9,11,14],[2,4,6,8,10,13,14],[2,5,6,9,11,12,13],[2,5,7,8,12,13,14],[3,4,5,7,8,9,12],[3,4,6,7,8,13,14],[3,4,6,9,11,12,14],[3,5,6,8,9,10,13],[3,5,7,9,10,11,14],[4,5,8,10,11,12,14]]; G[9009]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 9010: autom. group order 2, simple, residual B[9010]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,7,8,10,13,14],[1,3,5,6,10,13,14],[1,3,7,9,11,12,14],[1,4,5,6,7,9,13],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,9,11,13],[2,3,7,9,10,12,13],[2,4,5,7,9,10,11],[2,4,6,7,10,11,14],[2,4,6,8,9,12,14],[2,5,6,8,10,12,13],[2,5,7,11,12,13,14],[3,4,5,7,8,12,13],[3,4,6,7,8,12,14],[3,4,6,10,11,13,14],[3,5,6,9,10,11,12],[3,5,7,8,9,10,14],[4,5,8,9,11,13,14]]; G[9010]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 9011: autom. group order 2, simple, residual B[9011]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,7,8,12,13,14],[1,3,5,6,10,13,14],[1,3,7,9,10,11,14],[1,4,5,6,7,9,13],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,9,11,13],[2,3,7,9,10,12,13],[2,4,5,7,9,10,11],[2,4,6,7,11,12,14],[2,4,6,8,10,13,14],[2,5,6,8,9,10,12],[2,5,7,10,11,13,14],[3,4,5,7,8,12,13],[3,4,6,7,8,10,14],[3,4,6,9,11,12,14],[3,5,6,10,11,12,13],[3,5,7,8,9,12,14],[4,5,8,9,11,13,14]]; G[9011]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 9012: autom. group order 2, simple, residual B[9012]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,7,8,12,13,14],[1,3,5,6,10,13,14],[1,3,7,9,10,11,14],[1,4,5,6,7,9,13],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,9,11,13],[2,3,7,9,10,12,13],[2,4,5,7,10,11,13],[2,4,6,7,10,11,14],[2,4,6,8,9,10,14],[2,5,6,8,10,12,13],[2,5,7,9,11,12,14],[3,4,5,7,8,9,12],[3,4,6,7,8,12,14],[3,4,6,11,12,13,14],[3,5,6,9,10,11,12],[3,5,7,8,10,13,14],[4,5,8,9,11,13,14]]; G[9012]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 9013: autom. group order 2, simple, residual B[9013]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,7,8,12,13,14],[1,3,5,6,10,13,14],[1,3,7,9,10,11,14],[1,4,5,6,7,9,13],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,9,11,13],[2,3,7,9,10,12,13],[2,4,5,7,10,11,13],[2,4,6,7,11,12,14],[2,4,6,8,10,13,14],[2,5,6,8,9,10,12],[2,5,7,9,10,11,14],[3,4,5,7,8,9,12],[3,4,6,7,8,10,14],[3,4,6,9,11,12,14],[3,5,6,10,11,12,13],[3,5,7,8,12,13,14],[4,5,8,9,11,13,14]]; G[9013]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 9014: autom. group order 2, simple, residual B[9014]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,12,13,14],[1,2,7,8,9,12,14],[1,3,5,6,9,10,14],[1,3,7,10,11,13,14],[1,4,5,6,7,9,13],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,9,11,13],[2,3,7,9,10,12,13],[2,4,5,7,9,10,11],[2,4,6,7,8,10,14],[2,4,6,9,11,12,14],[2,5,6,8,10,12,13],[2,5,7,10,11,13,14],[3,4,5,7,8,12,13],[3,4,6,7,11,12,14],[3,4,6,8,10,13,14],[3,5,6,9,10,11,12],[3,5,7,8,9,12,14],[4,5,8,9,11,13,14]]; G[9014]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 9015: autom. group order 2, simple, residual B[9015]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,12,13,14],[1,2,7,8,9,12,14],[1,3,5,6,9,10,14],[1,3,7,10,11,13,14],[1,4,5,6,7,9,13],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,9,11,13],[2,3,7,9,10,12,13],[2,4,5,7,9,11,12],[2,4,6,7,8,10,14],[2,4,6,9,10,11,14],[2,5,6,8,10,12,13],[2,5,7,10,11,13,14],[3,4,5,7,8,10,13],[3,4,6,7,11,12,14],[3,4,6,8,12,13,14],[3,5,6,9,10,11,12],[3,5,7,8,9,12,14],[4,5,8,9,11,13,14]]; G[9015]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 9016: autom. group order 2, simple, residual B[9016]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,12,13,14],[1,2,7,8,9,12,14],[1,3,5,6,9,10,14],[1,3,7,10,11,13,14],[1,4,5,6,7,9,13],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,9,11,13],[2,3,7,9,10,12,13],[2,4,5,7,9,11,12],[2,4,6,7,8,10,14],[2,4,6,10,11,13,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,14],[3,4,5,7,8,10,13],[3,4,6,7,11,12,14],[3,4,6,8,9,12,14],[3,5,6,9,10,11,12],[3,5,7,8,12,13,14],[4,5,8,9,11,13,14]]; G[9016]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 9017: autom. group order 2, simple, residual B[9017]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,12,13,14],[1,2,7,8,9,12,14],[1,3,5,6,9,10,14],[1,3,7,10,11,13,14],[1,4,5,6,7,9,13],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,9,11,13],[2,3,7,9,10,12,13],[2,4,5,7,10,11,13],[2,4,6,7,8,10,14],[2,4,6,9,11,12,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,14],[3,4,5,7,8,9,12],[3,4,6,7,11,12,14],[3,4,6,8,10,13,14],[3,5,6,9,10,11,12],[3,5,7,8,12,13,14],[4,5,8,9,11,13,14]]; G[9017]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 9018: autom. group order 2, simple, residual B[9018]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,12,13,14],[1,2,7,8,9,12,14],[1,3,5,6,9,10,14],[1,3,7,10,11,13,14],[1,4,5,6,7,10,12],[1,4,5,8,9,11,13],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,10,11,12],[2,3,7,9,10,12,13],[2,4,5,7,9,10,11],[2,4,6,7,8,13,14],[2,4,6,9,11,12,14],[2,5,6,8,9,10,13],[2,5,7,10,11,13,14],[3,4,5,7,8,12,13],[3,4,6,7,9,11,14],[3,4,6,8,10,13,14],[3,5,6,9,11,12,13],[3,5,7,8,9,12,14],[4,5,8,10,11,12,14]]; G[9018]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 9019: autom. group order 2, simple, residual B[9019]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,12,13,14],[1,2,7,8,9,12,14],[1,3,5,6,9,10,14],[1,3,7,10,11,13,14],[1,4,5,6,7,10,12],[1,4,5,8,9,11,13],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,10,11,12],[2,3,7,9,10,12,13],[2,4,5,7,9,11,12],[2,4,6,7,8,13,14],[2,4,6,9,10,11,14],[2,5,6,8,9,10,13],[2,5,7,10,11,13,14],[3,4,5,7,8,10,13],[3,4,6,7,9,11,14],[3,4,6,8,12,13,14],[3,5,6,9,11,12,13],[3,5,7,8,9,12,14],[4,5,8,10,11,12,14]]; G[9019]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 9020: autom. group order 2, simple, residual B[9020]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,12,13,14],[1,2,7,8,9,12,14],[1,3,5,6,9,10,14],[1,3,7,10,11,13,14],[1,4,5,6,7,10,12],[1,4,5,8,9,11,13],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,10,11,12],[2,3,7,9,10,12,13],[2,4,5,7,10,11,13],[2,4,6,7,8,13,14],[2,4,6,9,11,12,14],[2,5,6,8,9,10,13],[2,5,7,9,10,11,14],[3,4,5,7,8,9,12],[3,4,6,7,9,11,14],[3,4,6,8,10,13,14],[3,5,6,9,11,12,13],[3,5,7,8,12,13,14],[4,5,8,10,11,12,14]]; G[9020]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 9021: autom. group order 2, simple, residual B[9021]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,14],[1,2,7,8,9,12,14],[1,3,5,6,12,13,14],[1,3,7,10,11,13,14],[1,4,5,6,7,9,13],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,9,11,13],[2,3,7,9,10,12,13],[2,4,5,7,8,12,13],[2,4,6,7,10,11,14],[2,4,6,9,11,12,14],[2,5,6,10,11,12,13],[2,5,7,8,10,13,14],[3,4,5,7,9,10,11],[3,4,6,7,8,12,14],[3,4,6,8,10,13,14],[3,5,6,8,9,10,12],[3,5,7,9,11,12,14],[4,5,8,9,11,13,14]]; G[9021]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 9022: autom. group order 2, simple, residual B[9022]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,14],[1,2,7,8,9,12,14],[1,3,5,6,12,13,14],[1,3,7,10,11,13,14],[1,4,5,6,7,9,13],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,9,11,13],[2,3,7,9,10,12,13],[2,4,5,7,8,12,13],[2,4,6,7,11,12,14],[2,4,6,10,11,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,13,14],[3,4,5,7,9,10,11],[3,4,6,7,8,10,14],[3,4,6,8,9,12,14],[3,5,6,8,10,12,13],[3,5,7,9,11,12,14],[4,5,8,9,11,13,14]]; G[9022]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 9023: autom. group order 2, simple, residual B[9023]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,14],[1,2,7,8,9,12,14],[1,3,5,6,12,13,14],[1,3,7,10,11,13,14],[1,4,5,6,7,10,12],[1,4,5,8,9,11,13],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,10,11,12],[2,3,7,9,10,12,13],[2,4,5,7,8,10,13],[2,4,6,7,9,11,14],[2,4,6,10,11,13,14],[2,5,6,9,11,12,13],[2,5,7,8,12,13,14],[3,4,5,7,9,11,12],[3,4,6,7,8,13,14],[3,4,6,8,9,12,14],[3,5,6,8,9,10,13],[3,5,7,9,10,11,14],[4,5,8,10,11,12,14]]; G[9023]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 9024: autom. group order 2, simple, residual B[9024]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,14],[1,2,7,8,9,12,14],[1,3,5,6,12,13,14],[1,3,7,10,11,13,14],[1,4,5,6,7,10,12],[1,4,5,8,9,11,13],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,10,11,12],[2,3,7,9,10,12,13],[2,4,5,7,8,12,13],[2,4,6,7,9,11,14],[2,4,6,10,11,13,14],[2,5,6,9,11,12,13],[2,5,7,8,10,13,14],[3,4,5,7,9,10,11],[3,4,6,7,8,13,14],[3,4,6,8,9,12,14],[3,5,6,8,9,10,13],[3,5,7,9,11,12,14],[4,5,8,10,11,12,14]]; G[9024]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 9025: autom. group order 2, simple, residual B[9025]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,14],[1,2,7,8,9,12,14],[1,3,5,6,12,13,14],[1,3,7,10,11,13,14],[1,4,5,6,7,10,12],[1,4,5,8,9,11,13],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,10,11,12],[2,3,7,9,10,12,13],[2,4,5,7,8,10,13],[2,4,6,7,11,13,14],[2,4,6,9,11,12,14],[2,5,6,9,10,11,13],[2,5,7,8,12,13,14],[3,4,5,7,9,11,12],[3,4,6,7,8,9,14],[3,4,6,8,10,13,14],[3,5,6,8,9,12,13],[3,5,7,9,10,11,14],[4,5,8,10,11,12,14]]; G[9025]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 9026: autom. group order 2, simple, residual B[9026]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,14],[1,2,7,8,9,12,14],[1,3,5,6,12,13,14],[1,3,7,10,11,13,14],[1,4,5,6,7,10,12],[1,4,5,8,9,11,13],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,10,11,12],[2,3,7,9,10,12,13],[2,4,5,7,8,12,13],[2,4,6,7,11,13,14],[2,4,6,9,11,12,14],[2,5,6,9,10,11,13],[2,5,7,8,10,13,14],[3,4,5,7,9,10,11],[3,4,6,7,8,9,14],[3,4,6,8,10,13,14],[3,5,6,8,9,12,13],[3,5,7,9,11,12,14],[4,5,8,10,11,12,14]]; G[9026]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 9027: autom. group order 2, simple, residual B[9027]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,7,8,9,12,14],[1,3,5,6,10,13,14],[1,3,7,10,11,13,14],[1,4,5,6,7,9,13],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,9,11,13],[2,3,7,9,10,12,13],[2,4,5,7,8,10,13],[2,4,6,7,10,11,14],[2,4,6,9,10,11,14],[2,5,6,8,10,12,13],[2,5,7,11,12,13,14],[3,4,5,7,9,11,12],[3,4,6,7,8,12,14],[3,4,6,8,12,13,14],[3,5,6,9,10,11,12],[3,5,7,8,9,10,14],[4,5,8,9,11,13,14]]; G[9027]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 9028: autom. group order 2, simple, residual B[9028]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,7,8,9,10,14],[1,3,5,6,10,13,14],[1,3,7,11,12,13,14],[1,4,5,6,7,9,13],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,9,11,13],[2,3,7,9,10,12,13],[2,4,5,7,8,12,13],[2,4,6,7,10,11,14],[2,4,6,10,11,13,14],[2,5,6,8,10,12,13],[2,5,7,9,11,12,14],[3,4,5,7,9,10,11],[3,4,6,7,8,12,14],[3,4,6,8,9,12,14],[3,5,6,9,10,11,12],[3,5,7,8,10,13,14],[4,5,8,9,11,13,14]]; G[9028]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 9029: autom. group order 2, simple, residual B[9029]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,7,8,10,13,14],[1,3,5,6,10,13,14],[1,3,7,9,11,12,14],[1,4,5,6,7,9,13],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,9,11,13],[2,3,7,9,10,12,13],[2,4,5,7,8,9,12],[2,4,6,7,10,11,14],[2,4,6,9,10,11,14],[2,5,6,8,10,12,13],[2,5,7,11,12,13,14],[3,4,5,7,10,11,13],[3,4,6,7,8,12,14],[3,4,6,8,12,13,14],[3,5,6,9,10,11,12],[3,5,7,8,9,10,14],[4,5,8,9,11,13,14]]; G[9029]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 9030: autom. group order 2, simple, residual B[9030]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,7,8,12,13,14],[1,3,5,6,10,13,14],[1,3,7,9,10,11,14],[1,4,5,6,7,9,13],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,9,11,13],[2,3,7,9,10,12,13],[2,4,5,7,8,9,10],[2,4,6,7,10,11,14],[2,4,6,10,11,13,14],[2,5,6,8,10,12,13],[2,5,7,9,11,12,14],[3,4,5,7,11,12,13],[3,4,6,7,8,12,14],[3,4,6,8,9,12,14],[3,5,6,9,10,11,12],[3,5,7,8,10,13,14],[4,5,8,9,11,13,14]]; G[9030]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 9031: autom. group order 2, simple, residual B[9031]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,7,8,10,13,14],[1,3,5,6,10,13,14],[1,3,7,9,11,12,14],[1,4,5,6,7,9,13],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,9,11,13],[2,3,7,9,10,12,13],[2,4,5,7,8,12,13],[2,4,6,7,11,12,14],[2,4,6,10,11,13,14],[2,5,6,8,9,10,12],[2,5,7,9,10,11,14],[3,4,5,7,9,10,11],[3,4,6,7,8,10,14],[3,4,6,8,9,12,14],[3,5,6,10,11,12,13],[3,5,7,8,12,13,14],[4,5,8,9,11,13,14]]; G[9031]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 9032: autom. group order 2, simple, residual B[9032]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,7,8,12,13,14],[1,3,5,6,10,13,14],[1,3,7,9,10,11,14],[1,4,5,6,7,9,13],[1,4,5,8,10,11,12],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,8,9,11,13],[2,3,7,9,10,12,13],[2,4,5,7,8,10,13],[2,4,6,7,11,12,14],[2,4,6,10,11,13,14],[2,5,6,8,9,10,12],[2,5,7,9,10,11,14],[3,4,5,7,9,11,12],[3,4,6,7,8,10,14],[3,4,6,8,9,12,14],[3,5,6,10,11,12,13],[3,5,7,8,12,13,14],[4,5,8,9,11,13,14]]; G[9032]:=Group([(2,3)(8,11)(9,13)(10,12)]); # Design 9033: autom. group order 2, simple, residual B[9033]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,7,11,12],[1,2,8,10,11,13,14],[1,3,5,6,10,12,14],[1,3,7,9,11,13,14],[1,4,5,7,10,13,14],[1,4,5,8,9,11,12],[1,4,6,7,8,10,13],[1,6,7,8,9,12,13],[1,6,9,10,11,12,14],[2,3,6,7,9,10,11],[2,3,6,8,10,12,13],[2,4,5,6,9,13,14],[2,4,6,9,12,13,14],[2,4,7,8,11,12,14],[2,5,7,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,10,11,12,13],[3,4,6,7,8,11,14],[3,4,7,9,10,12,14],[3,5,6,8,11,13,14],[3,5,7,8,9,12,13],[4,5,6,8,9,10,11]]; G[9033]:=Group([(1,11)(2,9)(3,10)(4,6)(7,8)(13,14)]); # Design 9034: autom. group order 2, simple, residual B[9034]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,7,8,9,12,13],[1,3,5,6,8,13,14],[1,3,7,10,11,12,13],[1,4,5,7,9,11,14],[1,4,5,10,12,13,14],[1,4,6,7,8,10,11],[1,6,7,9,11,12,14],[1,6,8,9,10,13,14],[2,3,6,7,10,12,14],[2,3,6,9,11,13,14],[2,4,5,6,7,9,13],[2,4,7,8,10,13,14],[2,4,8,9,11,12,14],[2,5,6,8,10,11,12],[2,5,7,10,11,13,14],[3,4,5,9,10,12,14],[3,4,6,7,8,12,14],[3,4,6,9,10,11,13],[3,5,7,8,9,10,11],[3,5,7,8,9,12,13],[4,5,6,8,11,12,13]]; G[9034]:=Group([(1,9)(2,10)(6,12)(7,14)]); # Design 9035: autom. group order 2, simple, residual B[9035]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,7,8,9,12,13],[1,3,5,6,8,13,14],[1,3,10,11,12,13,14],[1,4,5,7,9,11,14],[1,4,5,7,10,12,13],[1,4,6,7,8,10,11],[1,6,7,9,11,12,14],[1,6,8,9,10,13,14],[2,3,6,7,9,11,13],[2,3,6,7,10,12,14],[2,4,5,6,9,13,14],[2,4,7,8,10,13,14],[2,4,8,9,11,12,14],[2,5,6,8,10,11,12],[2,5,7,10,11,13,14],[3,4,5,9,10,12,14],[3,4,6,7,8,12,14],[3,4,6,9,10,11,13],[3,5,7,8,9,10,11],[3,5,7,8,9,12,13],[4,5,6,8,11,12,13]]; G[9035]:=Group([(1,9)(2,10)(6,12)(7,14)]); # Design 9036: autom. group order 2, simple B[9036]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,7,9,11,13,14],[1,3,5,10,12,13,14],[1,3,6,7,8,10,11],[1,4,5,6,12,13,14],[1,4,5,7,9,10,14],[1,4,6,9,10,11,12],[1,6,7,8,11,13,14],[1,7,8,9,10,12,13],[2,3,6,7,9,12,13],[2,3,6,9,10,13,14],[2,4,5,7,8,10,13],[2,4,6,7,8,12,14],[2,4,7,10,11,12,14],[2,5,6,9,10,11,14],[2,5,8,10,11,12,13],[3,4,5,7,9,11,13],[3,4,6,8,10,13,14],[3,4,8,9,11,12,14],[3,5,6,7,10,11,12],[3,5,7,8,9,12,14],[4,5,6,8,9,11,13]]; G[9036]:=Group([(2,9)(3,10)(5,12)(7,11)(13,14)]); # Design 9037: autom. group order 2, simple B[9037]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,7,9,11,13,14],[1,3,5,10,12,13,14],[1,3,6,7,8,10,11],[1,4,5,6,12,13,14],[1,4,5,7,9,10,14],[1,4,6,9,10,11,12],[1,6,7,8,11,13,14],[1,7,8,9,10,12,13],[2,3,6,7,9,12,14],[2,3,6,9,10,13,14],[2,4,5,7,10,11,13],[2,4,6,7,8,12,13],[2,4,8,10,11,12,14],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,7,8,9,13],[3,4,6,8,10,13,14],[3,4,7,9,11,12,14],[3,5,6,7,10,11,12],[3,5,8,9,11,12,13],[4,5,6,8,9,11,14]]; G[9037]:=Group([(2,9)(3,10)(5,12)(7,11)(13,14)]); # Design 9038: autom. group order 2, simple, residual B[9038]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,7,9,11,13,14],[1,3,5,10,12,13,14],[1,3,6,7,8,10,11],[1,4,5,6,12,13,14],[1,4,5,7,9,10,14],[1,4,6,9,10,11,12],[1,6,7,8,11,13,14],[1,7,8,9,10,12,13],[2,3,6,7,10,12,14],[2,3,6,9,10,13,14],[2,4,5,7,8,10,13],[2,4,6,8,9,13,14],[2,4,7,10,11,12,14],[2,5,6,7,9,11,12],[2,5,8,10,11,12,13],[3,4,5,7,9,11,13],[3,4,6,7,8,12,13],[3,4,8,9,11,12,14],[3,5,6,9,10,11,13],[3,5,7,8,9,12,14],[4,5,6,8,10,11,14]]; G[9038]:=Group([(2,9)(3,10)(5,12)(7,11)(13,14)]); # Design 9039: autom. group order 2, simple, residual B[9039]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,7,9,11,13,14],[1,3,5,10,12,13,14],[1,3,6,7,8,10,11],[1,4,5,6,12,13,14],[1,4,5,7,9,10,14],[1,4,6,9,10,11,12],[1,6,7,8,11,13,14],[1,7,8,9,10,12,13],[2,3,6,7,10,12,13],[2,3,6,9,10,13,14],[2,4,5,7,10,11,13],[2,4,6,8,9,13,14],[2,4,8,10,11,12,14],[2,5,6,7,9,11,12],[2,5,7,8,10,12,14],[3,4,5,7,8,9,13],[3,4,6,7,8,12,14],[3,4,7,9,11,12,14],[3,5,6,9,10,11,14],[3,5,8,9,11,12,13],[4,5,6,8,10,11,13]]; G[9039]:=Group([(2,9)(3,10)(5,12)(7,11)(13,14)]); # Design 9040: autom. group order 2, simple B[9040]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,7,8,9,12,14],[1,3,5,7,10,11,12],[1,3,6,9,10,13,14],[1,4,5,6,8,10,14],[1,4,5,9,11,13,14],[1,4,6,7,8,12,13],[1,6,7,8,9,10,11],[1,7,10,11,12,13,14],[2,3,6,9,10,11,12],[2,3,7,8,10,13,14],[2,4,5,7,10,12,14],[2,4,6,10,11,13,14],[2,4,7,8,9,11,13],[2,5,6,7,9,11,14],[2,5,6,8,10,12,13],[3,4,5,7,9,10,13],[3,4,6,7,9,12,14],[3,4,6,8,11,12,14],[3,5,6,7,8,11,13],[3,5,8,9,12,13,14],[4,5,8,9,10,11,12]]; G[9040]:=Group([(1,11)(2,4)(3,13)(5,14)(7,10)(8,9)]); # Design 9041: autom. group order 2, simple B[9041]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,7,8,9,12,14],[1,3,5,7,10,11,12],[1,3,6,8,10,13,14],[1,4,5,6,9,10,14],[1,4,5,9,11,13,14],[1,4,6,7,8,12,13],[1,6,7,8,9,10,11],[1,7,10,11,12,13,14],[2,3,6,9,10,11,12],[2,3,7,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,10,11,13,14],[2,4,7,8,9,11,13],[2,5,6,7,8,11,14],[2,5,6,8,10,12,13],[3,4,5,7,8,10,13],[3,4,6,7,9,12,14],[3,4,6,8,11,12,14],[3,5,6,7,9,11,13],[3,5,8,9,12,13,14],[4,5,8,9,10,11,12]]; G[9041]:=Group([(1,11)(2,4)(3,13)(5,14)(7,10)(8,9)]); # Design 9042: autom. group order 2, simple, residual B[9042]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,7,8,9,11,13],[1,3,5,8,10,12,13],[1,3,6,7,10,11,14],[1,4,5,6,12,13,14],[1,4,5,7,9,10,13],[1,4,9,10,11,12,14],[1,6,7,8,9,10,12],[1,6,7,8,11,13,14],[2,3,6,7,9,12,13],[2,3,6,9,10,13,14],[2,4,5,6,7,10,11],[2,4,6,8,10,11,12],[2,4,7,8,12,13,14],[2,5,7,8,10,12,14],[2,5,9,10,11,13,14],[3,4,5,7,8,9,14],[3,4,6,8,10,13,14],[3,4,7,9,11,12,14],[3,5,6,8,9,11,12],[3,5,7,10,11,12,13],[4,5,6,8,9,11,13]]; G[9042]:=Group([(2,9)(3,10)(5,12)(6,14)(7,11)]); # Design 9043: autom. group order 2, simple B[9043]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,7,8,9,11,13],[1,3,5,8,10,12,13],[1,3,6,7,10,11,14],[1,4,5,6,12,13,14],[1,4,5,7,9,10,13],[1,4,9,10,11,12,14],[1,6,7,8,9,10,12],[1,6,7,8,11,13,14],[2,3,6,7,10,12,13],[2,3,6,9,10,13,14],[2,4,5,7,8,10,14],[2,4,6,8,9,13,14],[2,4,7,10,11,12,14],[2,5,6,8,10,11,12],[2,5,7,9,11,12,13],[3,4,5,6,7,9,11],[3,4,6,8,9,11,12],[3,4,7,8,12,13,14],[3,5,7,8,9,12,14],[3,5,9,10,11,13,14],[4,5,6,8,10,11,13]]; G[9043]:=Group([(2,9)(3,10)(5,12)(6,14)(7,11)]); # Design 9044: autom. group order 2, simple B[9044]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,7,8,9,11,13],[1,3,5,8,10,12,13],[1,3,6,7,10,11,14],[1,4,5,6,12,13,14],[1,4,5,7,9,10,13],[1,4,9,10,11,12,14],[1,6,7,8,9,10,12],[1,6,7,8,11,13,14],[2,3,6,9,10,13,14],[2,3,7,10,12,13,14],[2,4,5,6,7,10,11],[2,4,6,8,9,13,14],[2,4,6,8,10,11,12],[2,5,7,8,10,12,14],[2,5,7,9,11,12,13],[3,4,5,7,8,9,14],[3,4,6,7,8,12,13],[3,4,7,9,11,12,14],[3,5,6,8,9,11,12],[3,5,6,9,10,11,13],[4,5,8,10,11,13,14]]; G[9044]:=Group([(2,9)(3,10)(5,12)(6,14)(7,11)]); # Design 9045: autom. group order 2, simple, residual B[9045]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,7,8,9,11,13],[1,3,5,8,10,12,13],[1,3,6,7,10,11,14],[1,4,5,6,12,13,14],[1,4,5,7,9,10,13],[1,4,9,10,11,12,14],[1,6,7,8,9,10,12],[1,6,7,8,11,13,14],[2,3,6,9,10,13,14],[2,3,7,9,12,13,14],[2,4,5,7,8,10,14],[2,4,6,7,8,12,13],[2,4,7,10,11,12,14],[2,5,6,8,10,11,12],[2,5,6,9,10,11,13],[3,4,5,6,7,9,11],[3,4,6,8,9,11,12],[3,4,6,8,10,13,14],[3,5,7,8,9,12,14],[3,5,7,10,11,12,13],[4,5,8,9,11,13,14]]; G[9045]:=Group([(2,9)(3,10)(5,12)(6,14)(7,11)]); # Design 9046: autom. group order 2, simple B[9046]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,12,13,14],[1,2,7,8,9,10,12],[1,3,5,9,10,12,14],[1,3,7,8,11,13,14],[1,4,5,6,9,10,11],[1,4,5,7,9,13,14],[1,4,6,10,11,12,13],[1,6,7,8,9,11,13],[1,6,7,8,10,12,14],[2,3,6,7,9,12,13],[2,3,6,9,10,13,14],[2,4,5,7,8,10,13],[2,4,6,8,9,11,14],[2,4,7,9,11,12,14],[2,5,6,7,10,11,14],[2,5,8,10,11,12,13],[3,4,5,6,7,8,12],[3,4,6,8,10,13,14],[3,4,7,10,11,12,14],[3,5,6,8,9,11,12],[3,5,7,9,10,11,13],[4,5,8,9,12,13,14]]; G[9046]:=Group([(1,11)(2,9)(3,6)(4,8)(7,12)(10,14)]); # Design 9047: autom. group order 2, simple, residual B[9047]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,6,9,11,12],[1,2,7,9,11,13,14],[1,3,5,7,10,11,13],[1,3,7,8,10,11,14],[1,4,5,9,10,12,13],[1,4,6,7,8,12,13],[1,4,6,7,9,10,14],[1,5,8,10,12,13,14],[1,6,8,9,11,12,14],[2,3,6,10,12,13,14],[2,3,7,9,12,13,14],[2,4,5,7,8,12,14],[2,4,5,9,10,11,14],[2,4,6,8,10,11,13],[2,5,7,8,10,11,12],[2,6,7,8,9,10,13],[3,4,5,8,9,13,14],[3,4,6,10,11,12,14],[3,4,7,8,9,11,12],[3,5,6,7,9,10,12],[3,5,6,8,9,11,13],[4,5,6,7,11,13,14]]; G[9047]:=Group([(2,13)(3,12)(6,10)(7,9)]); # Design 9048: autom. group order 2, simple B[9048]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,6,9,11,12],[1,2,7,9,11,13,14],[1,3,5,7,10,13,14],[1,3,7,8,11,12,13],[1,4,5,9,10,12,13],[1,4,6,7,10,11,14],[1,4,6,8,12,13,14],[1,5,7,8,9,10,12],[1,6,8,9,10,11,14],[2,3,6,7,9,10,12],[2,3,8,10,11,12,14],[2,4,5,8,9,13,14],[2,4,5,10,11,12,14],[2,4,6,7,8,10,13],[2,5,7,8,10,11,13],[2,6,7,9,12,13,14],[3,4,5,7,9,11,14],[3,4,6,9,10,11,13],[3,4,7,8,9,12,14],[3,5,6,8,9,11,13],[3,5,6,10,12,13,14],[4,5,6,7,8,11,12]]; G[9048]:=Group([(2,9)(3,10)(4,8)(6,12)(13,14)]); # Design 9049: autom. group order 2, simple B[9049]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,6,9,12,14],[1,2,7,8,10,11,14],[1,3,5,7,10,12,13],[1,3,8,9,12,13,14],[1,4,5,10,11,13,14],[1,4,6,7,9,10,12],[1,4,6,9,11,13,14],[1,5,7,8,9,10,13],[1,6,7,8,11,12,14],[2,3,6,9,10,13,14],[2,3,7,9,10,11,14],[2,4,5,7,8,13,14],[2,4,5,7,9,12,14],[2,4,6,8,10,12,13],[2,5,8,9,11,12,13],[2,6,7,10,11,12,13],[3,4,5,10,11,12,14],[3,4,6,7,8,13,14],[3,4,7,8,9,11,12],[3,5,6,7,9,11,13],[3,5,6,8,10,12,14],[4,5,6,8,9,10,11]]; G[9049]:=Group([(1,13)(3,12)(4,11)(5,10)]); # Design 9050: autom. group order 2, simple, residual B[9050]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,6,9,11,12],[1,2,7,9,10,11,13],[1,3,5,9,10,13,14],[1,3,7,8,10,11,12],[1,4,5,7,9,11,14],[1,4,6,7,10,12,14],[1,4,6,8,9,12,13],[1,5,8,10,12,13,14],[1,6,7,8,11,13,14],[2,3,6,10,11,13,14],[2,3,7,9,12,13,14],[2,4,5,7,12,13,14],[2,4,5,8,10,11,14],[2,4,6,7,8,10,13],[2,5,7,8,9,10,12],[2,6,8,9,11,12,14],[3,4,5,8,11,12,13],[3,4,6,9,10,12,14],[3,4,7,8,9,11,14],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,6,9,10,11,13]]; G[9050]:=Group([(1,5)(2,6)(4,7)(10,13)]); # Design 9051: autom. group order 2, simple, residual B[9051]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,6,9,11,12],[1,2,7,9,10,11,13],[1,3,5,9,10,13,14],[1,3,7,8,11,12,13],[1,4,5,7,9,11,14],[1,4,6,7,12,13,14],[1,4,6,8,9,10,12],[1,5,8,10,12,13,14],[1,6,7,8,10,11,14],[2,3,6,10,11,13,14],[2,3,7,9,10,12,14],[2,4,5,7,10,12,14],[2,4,5,8,11,13,14],[2,4,6,7,8,10,13],[2,5,7,8,9,12,13],[2,6,8,9,11,12,14],[3,4,5,8,10,11,12],[3,4,6,9,12,13,14],[3,4,7,8,9,11,14],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,6,9,10,11,13]]; G[9051]:=Group([(1,5)(2,6)(4,7)(10,13)]); # Design 9052: autom. group order 2, simple, residual B[9052]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,6,9,11,12],[1,2,7,9,10,11,13],[1,3,5,9,10,13,14],[1,3,7,8,11,12,13],[1,4,5,7,9,11,14],[1,4,6,7,12,13,14],[1,4,6,8,10,11,14],[1,5,8,10,12,13,14],[1,6,7,8,9,10,12],[2,3,6,10,11,13,14],[2,3,7,9,10,12,14],[2,4,5,7,10,12,14],[2,4,5,8,9,12,13],[2,4,6,7,8,10,13],[2,5,7,8,11,13,14],[2,6,8,9,11,12,14],[3,4,5,8,10,11,12],[3,4,6,9,12,13,14],[3,4,7,8,9,11,14],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,6,9,10,11,13]]; G[9052]:=Group([(1,5)(2,6)(4,7)(10,13)]); # Design 9053: autom. group order 2, simple, residual B[9053]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,6,12,13,14],[1,2,7,8,9,12,14],[1,3,5,9,10,13,14],[1,3,7,10,11,12,14],[1,4,5,7,9,10,12],[1,4,6,7,8,9,13],[1,4,6,10,11,12,14],[1,5,8,9,11,13,14],[1,6,7,8,10,11,13],[2,3,6,9,10,13,14],[2,3,7,9,11,12,13],[2,4,5,7,9,11,14],[2,4,5,8,10,11,14],[2,4,6,7,10,13,14],[2,5,7,8,10,12,13],[2,6,8,9,10,11,12],[3,4,5,8,10,12,13],[3,4,6,8,9,12,14],[3,4,7,8,11,13,14],[3,5,6,7,8,12,14],[3,5,6,7,9,10,11],[4,5,6,9,11,12,13]]; G[9053]:=Group([(1,5)(2,6)(4,7)(8,11)(13,14)]); # Design 9054: autom. group order 2, simple, residual B[9054]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,6,9,11,12],[1,2,7,8,9,10,11],[1,3,5,9,10,13,14],[1,3,7,8,11,12,13],[1,4,5,7,9,12,14],[1,4,6,7,11,13,14],[1,4,6,9,10,12,13],[1,5,8,10,11,13,14],[1,6,7,8,10,12,14],[2,3,6,10,12,13,14],[2,3,7,9,11,13,14],[2,4,5,7,10,11,14],[2,4,5,8,12,13,14],[2,4,6,7,8,10,13],[2,5,7,9,10,12,13],[2,6,8,9,11,12,14],[3,4,5,8,10,11,12],[3,4,6,9,10,11,14],[3,4,7,8,9,12,14],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,6,8,9,11,13]]; G[9054]:=Group([(1,5)(2,6)(4,7)(10,13)]); # Design 9055: autom. group order 2, simple, residual B[9055]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,6,9,11,12],[1,2,7,8,10,11,14],[1,3,5,9,10,13,14],[1,3,7,8,11,12,13],[1,4,5,7,9,11,14],[1,4,6,7,12,13,14],[1,4,6,9,10,11,13],[1,5,8,10,12,13,14],[1,6,7,8,9,10,12],[2,3,6,10,11,13,14],[2,3,7,9,12,13,14],[2,4,5,7,10,12,14],[2,4,5,8,9,12,13],[2,4,6,7,8,10,13],[2,5,7,9,10,11,13],[2,6,8,9,11,12,14],[3,4,5,8,10,11,12],[3,4,6,9,10,12,14],[3,4,7,8,9,11,14],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,6,8,11,13,14]]; G[9055]:=Group([(1,5)(2,6)(4,7)(10,13)]); # Design 9056: autom. group order 2, simple, residual B[9056]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,6,9,12,14],[1,2,7,8,10,13,14],[1,3,5,10,12,13,14],[1,3,7,8,9,13,14],[1,4,5,7,10,11,13],[1,4,6,7,9,12,13],[1,4,6,9,10,11,14],[1,5,8,9,11,12,14],[1,6,7,8,10,11,12],[2,3,6,10,12,13,14],[2,3,7,9,10,11,12],[2,4,5,7,9,10,14],[2,4,5,8,11,13,14],[2,4,6,7,8,12,14],[2,5,7,9,11,12,13],[2,6,8,9,10,11,13],[3,4,5,8,9,10,12],[3,4,6,9,11,13,14],[3,4,7,8,11,12,14],[3,5,6,7,8,9,13],[3,5,6,7,10,11,14],[4,5,6,8,10,12,13]]; G[9056]:=Group([(1,5)(2,6)(4,7)(10,13)(12,14)]); # Design 9057: autom. group order 2, simple, residual B[9057]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,6,9,11,12],[1,2,7,8,9,10,11],[1,3,5,9,10,12,13],[1,3,7,8,11,13,14],[1,4,5,7,11,12,14],[1,4,6,7,9,13,14],[1,4,6,8,10,12,13],[1,5,9,10,11,13,14],[1,6,7,8,10,12,14],[2,3,6,10,11,13,14],[2,3,7,9,12,13,14],[2,4,5,7,9,10,14],[2,4,5,8,12,13,14],[2,4,6,7,10,11,13],[2,5,7,8,10,12,13],[2,6,8,9,11,12,14],[3,4,5,8,10,11,14],[3,4,6,9,10,12,14],[3,4,7,8,9,11,12],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,6,8,9,11,13]]; G[9057]:=Group([(1,5)(2,6)(4,7)(10,13)]); # Design 9058: autom. group order 2, simple, residual B[9058]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,6,9,11,12],[1,2,7,8,9,11,13],[1,3,5,9,10,12,13],[1,3,7,8,10,11,14],[1,4,5,7,11,12,14],[1,4,6,7,9,10,14],[1,4,6,8,10,12,13],[1,5,9,10,11,13,14],[1,6,7,8,12,13,14],[2,3,6,10,11,13,14],[2,3,7,9,10,12,14],[2,4,5,7,9,13,14],[2,4,5,8,10,12,14],[2,4,6,7,10,11,13],[2,5,7,8,10,12,13],[2,6,8,9,11,12,14],[3,4,5,8,11,13,14],[3,4,6,9,12,13,14],[3,4,7,8,9,11,12],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,6,8,9,10,11]]; G[9058]:=Group([(1,5)(2,6)(4,7)(10,13)]); # Design 9059: autom. group order 2, simple, residual B[9059]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,6,9,11,12],[1,2,7,8,9,11,13],[1,3,5,9,10,12,13],[1,3,7,8,10,11,14],[1,4,5,7,11,12,14],[1,4,6,7,9,13,14],[1,4,6,8,10,12,14],[1,5,9,10,11,13,14],[1,6,7,8,10,12,13],[2,3,6,10,11,13,14],[2,3,7,9,10,12,14],[2,4,5,7,9,10,14],[2,4,5,8,10,12,13],[2,4,6,7,10,11,13],[2,5,7,8,12,13,14],[2,6,8,9,11,12,14],[3,4,5,8,11,13,14],[3,4,6,9,12,13,14],[3,4,7,8,9,11,12],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,6,8,9,10,11]]; G[9059]:=Group([(1,5)(2,6)(4,7)(10,13)]); # Design 9060: autom. group order 2, simple, residual B[9060]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,6,9,11,12],[1,2,7,8,10,11,13],[1,3,5,9,10,11,13],[1,3,7,8,10,12,14],[1,4,5,7,11,12,14],[1,4,6,7,9,10,14],[1,4,6,8,9,12,13],[1,5,9,10,12,13,14],[1,6,7,8,11,13,14],[2,3,6,10,12,13,14],[2,3,7,9,11,13,14],[2,4,5,7,9,13,14],[2,4,5,8,10,11,14],[2,4,6,7,10,12,13],[2,5,7,8,9,10,12],[2,6,8,9,11,12,14],[3,4,5,8,12,13,14],[3,4,6,9,10,11,14],[3,4,7,8,9,11,12],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,6,8,10,11,13]]; G[9060]:=Group([(1,5)(2,6)(4,7)(10,13)]); # Design 9061: autom. group order 2, simple, residual B[9061]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,6,9,11,12],[1,2,7,8,10,11,14],[1,3,5,9,10,11,13],[1,3,7,8,12,13,14],[1,4,5,7,11,12,14],[1,4,6,7,9,10,14],[1,4,6,8,9,12,13],[1,5,9,10,12,13,14],[1,6,7,8,10,11,13],[2,3,6,10,12,13,14],[2,3,7,9,11,13,14],[2,4,5,7,9,13,14],[2,4,5,8,10,11,13],[2,4,6,7,10,12,13],[2,5,7,8,9,10,12],[2,6,8,9,11,12,14],[3,4,5,8,10,12,14],[3,4,6,9,10,11,14],[3,4,7,8,9,11,12],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,6,8,11,13,14]]; G[9061]:=Group([(1,5)(2,6)(4,7)(10,13)]); # Design 9062: autom. group order 2, simple, residual B[9062]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,6,9,11,12],[1,2,7,8,10,11,13],[1,3,5,9,10,11,13],[1,3,7,8,12,13,14],[1,4,5,7,11,12,14],[1,4,6,7,9,13,14],[1,4,6,8,9,10,12],[1,5,9,10,12,13,14],[1,6,7,8,10,11,14],[2,3,6,10,12,13,14],[2,3,7,9,10,11,14],[2,4,5,7,9,10,14],[2,4,5,8,11,13,14],[2,4,6,7,10,12,13],[2,5,7,8,9,12,13],[2,6,8,9,11,12,14],[3,4,5,8,10,12,14],[3,4,6,9,11,13,14],[3,4,7,8,9,11,12],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,6,8,10,11,13]]; G[9062]:=Group([(1,5)(2,6)(4,7)(10,13)]); # Design 9063: autom. group order 2, simple, residual B[9063]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,6,9,11,12],[1,2,7,8,11,13,14],[1,3,5,9,10,11,13],[1,3,7,8,10,12,14],[1,4,5,7,11,12,14],[1,4,6,7,9,13,14],[1,4,6,8,9,10,12],[1,5,9,10,12,13,14],[1,6,7,8,10,11,13],[2,3,6,10,12,13,14],[2,3,7,9,10,11,14],[2,4,5,7,9,10,14],[2,4,5,8,10,11,13],[2,4,6,7,10,12,13],[2,5,7,8,9,12,13],[2,6,8,9,11,12,14],[3,4,5,8,12,13,14],[3,4,6,9,11,13,14],[3,4,7,8,9,11,12],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,6,8,10,11,14]]; G[9063]:=Group([(1,5)(2,6)(4,7)(10,13)]); # Design 9064: autom. group order 2, simple, residual B[9064]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,6,9,11,12],[1,2,7,8,10,11,13],[1,3,5,9,10,11,13],[1,3,7,8,10,12,14],[1,4,5,7,11,12,14],[1,4,6,7,9,10,14],[1,4,6,8,11,13,14],[1,5,9,10,12,13,14],[1,6,7,8,9,12,13],[2,3,6,10,12,13,14],[2,3,7,9,11,13,14],[2,4,5,7,9,13,14],[2,4,5,8,9,10,12],[2,4,6,7,10,12,13],[2,5,7,8,10,11,14],[2,6,8,9,11,12,14],[3,4,5,8,12,13,14],[3,4,6,9,10,11,14],[3,4,7,8,9,11,12],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,6,8,10,11,13]]; G[9064]:=Group([(1,5)(2,6)(4,7)(10,13)]); # Design 9065: autom. group order 2, simple, residual B[9065]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,6,9,11,12],[1,2,7,8,11,13,14],[1,3,5,9,10,11,13],[1,3,7,8,10,12,14],[1,4,5,7,11,12,14],[1,4,6,7,9,10,14],[1,4,6,8,10,11,13],[1,5,9,10,12,13,14],[1,6,7,8,9,12,13],[2,3,6,10,12,13,14],[2,3,7,9,10,11,14],[2,4,5,7,9,13,14],[2,4,5,8,9,10,12],[2,4,6,7,10,12,13],[2,5,7,8,10,11,13],[2,6,8,9,11,12,14],[3,4,5,8,12,13,14],[3,4,6,9,11,13,14],[3,4,7,8,9,11,12],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,6,8,10,11,14]]; G[9065]:=Group([(1,5)(2,6)(4,7)(10,13)]); # Design 9066: autom. group order 2, simple, residual B[9066]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,6,9,11,12],[1,2,7,8,9,10,11],[1,3,5,9,10,13,14],[1,3,7,8,11,12,13],[1,4,5,7,9,12,14],[1,4,6,7,10,11,14],[1,4,6,8,12,13,14],[1,5,8,10,11,13,14],[1,6,7,9,10,12,13],[2,3,6,10,12,13,14],[2,3,7,9,11,13,14],[2,4,5,7,11,13,14],[2,4,5,9,10,12,13],[2,4,6,7,8,10,13],[2,5,7,8,10,12,14],[2,6,8,9,11,12,14],[3,4,5,8,10,11,12],[3,4,6,9,10,11,14],[3,4,7,8,9,12,14],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,6,8,9,11,13]]; G[9066]:=Group([(1,5)(2,6)(4,7)(10,13)]); # Design 9067: autom. group order 2, simple, residual B[9067]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,6,9,12,14],[1,2,7,8,10,12,14],[1,3,5,9,10,13,14],[1,3,7,8,9,12,13],[1,4,5,7,9,11,14],[1,4,6,7,10,12,14],[1,4,6,8,11,13,14],[1,5,8,10,11,12,13],[1,6,7,9,10,11,13],[2,3,6,9,10,13,14],[2,3,7,11,12,13,14],[2,4,5,7,9,12,13],[2,4,5,10,11,13,14],[2,4,6,7,8,10,13],[2,5,7,8,9,10,11],[2,6,8,9,11,12,14],[3,4,5,8,10,12,14],[3,4,6,9,10,11,12],[3,4,7,8,9,11,14],[3,5,6,7,8,13,14],[3,5,6,7,10,11,12],[4,5,6,8,9,12,13]]; G[9067]:=Group([(1,5)(2,6)(4,7)(9,14)(10,13)]); # Design 9068: autom. group order 2, simple, residual B[9068]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,6,9,11,12],[1,2,7,8,10,11,14],[1,3,5,9,10,13,14],[1,3,7,8,11,12,13],[1,4,5,7,9,11,14],[1,4,6,7,10,12,14],[1,4,6,8,9,12,13],[1,5,8,10,12,13,14],[1,6,7,9,10,11,13],[2,3,6,10,11,13,14],[2,3,7,9,12,13,14],[2,4,5,7,12,13,14],[2,4,5,9,10,11,13],[2,4,6,7,8,10,13],[2,5,7,8,9,10,12],[2,6,8,9,11,12,14],[3,4,5,8,10,11,12],[3,4,6,9,10,12,14],[3,4,7,8,9,11,14],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,6,8,11,13,14]]; G[9068]:=Group([(1,5)(2,6)(4,7)(10,13)]); # Design 9069: autom. group order 2, simple, residual B[9069]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,6,9,12,14],[1,2,7,8,10,13,14],[1,3,5,10,12,13,14],[1,3,7,8,9,10,12],[1,4,5,7,10,11,13],[1,4,6,7,9,10,14],[1,4,6,8,11,13,14],[1,5,8,9,11,12,14],[1,6,7,9,11,12,13],[2,3,6,10,12,13,14],[2,3,7,9,11,13,14],[2,4,5,7,9,12,13],[2,4,5,9,10,11,14],[2,4,6,7,8,12,14],[2,5,7,8,10,11,12],[2,6,8,9,10,11,13],[3,4,5,8,9,13,14],[3,4,6,9,10,11,12],[3,4,7,8,11,12,14],[3,5,6,7,8,9,13],[3,5,6,7,10,11,14],[4,5,6,8,10,12,13]]; G[9069]:=Group([(1,5)(2,6)(4,7)(10,13)(12,14)]); # Design 9070: autom. group order 2, simple, residual B[9070]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,6,9,10,14],[1,2,7,8,11,12,14],[1,3,5,9,12,13,14],[1,3,7,8,10,13,14],[1,4,5,7,9,12,14],[1,4,6,7,8,9,13],[1,4,6,10,11,13,14],[1,5,8,10,11,12,13],[1,6,7,9,10,11,12],[2,3,6,9,12,13,14],[2,3,7,9,10,11,12],[2,4,5,7,11,13,14],[2,4,5,8,10,12,14],[2,4,6,7,10,12,13],[2,5,7,8,9,10,13],[2,6,8,9,11,13,14],[3,4,5,9,10,11,13],[3,4,6,8,10,12,14],[3,4,7,8,9,11,14],[3,5,6,7,8,12,13],[3,5,6,7,10,11,14],[4,5,6,8,9,11,12]]; G[9070]:=Group([(1,5)(2,6)(4,7)(8,11)(9,14)]); # Design 9071: autom. group order 2, simple, residual B[9071]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,6,9,12,14],[1,2,7,8,10,11,14],[1,3,5,9,10,13,14],[1,3,7,8,12,13,14],[1,4,5,7,9,12,14],[1,4,6,7,8,9,13],[1,4,6,10,11,13,14],[1,5,8,10,11,12,13],[1,6,7,9,10,11,12],[2,3,6,9,10,13,14],[2,3,7,9,11,12,13],[2,4,5,7,10,11,14],[2,4,5,8,12,13,14],[2,4,6,7,10,12,13],[2,5,7,8,9,10,13],[2,6,8,9,11,12,14],[3,4,5,9,10,11,12],[3,4,6,8,10,12,14],[3,4,7,8,9,11,14],[3,5,6,7,8,10,12],[3,5,6,7,11,13,14],[4,5,6,8,9,11,13]]; G[9071]:=Group([(1,5)(2,6)(4,7)(8,11)(9,14)(10,13)]); # Design 9072: autom. group order 2, simple, residual B[9072]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,6,9,10,14],[1,2,7,8,11,12,14],[1,3,5,9,12,13,14],[1,3,7,8,10,12,14],[1,4,5,7,10,12,13],[1,4,6,7,8,9,13],[1,4,6,10,11,12,14],[1,5,8,9,11,13,14],[1,6,7,9,10,11,13],[2,3,6,9,12,13,14],[2,3,7,9,10,11,13],[2,4,5,7,11,13,14],[2,4,5,8,10,13,14],[2,4,6,7,9,12,14],[2,5,7,8,9,10,12],[2,6,8,10,11,12,13],[3,4,5,9,10,11,12],[3,4,6,8,10,13,14],[3,4,7,8,9,11,14],[3,5,6,7,8,12,13],[3,5,6,7,10,11,14],[4,5,6,8,9,11,12]]; G[9072]:=Group([(1,5)(2,6)(4,7)(8,11)(9,14)]); # Design 9073: autom. group order 2, simple, residual B[9073]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,6,9,10,14],[1,2,7,8,11,12,14],[1,3,5,9,12,13,14],[1,3,7,8,10,12,14],[1,4,5,7,10,12,13],[1,4,6,7,8,9,13],[1,4,6,10,11,13,14],[1,5,8,9,11,13,14],[1,6,7,9,10,11,12],[2,3,6,9,12,13,14],[2,3,7,9,10,11,13],[2,4,5,7,11,13,14],[2,4,5,8,10,12,14],[2,4,6,7,9,12,14],[2,5,7,8,9,10,13],[2,6,8,10,11,12,13],[3,4,5,9,10,11,12],[3,4,6,8,10,13,14],[3,4,7,8,9,11,14],[3,5,6,7,8,12,13],[3,5,6,7,10,11,14],[4,5,6,8,9,11,12]]; G[9073]:=Group([(1,5)(2,6)(4,7)(8,11)(9,14)]); # Design 9074: autom. group order 2, simple B[9074]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,6,9,11,12],[1,2,7,8,11,12,14],[1,3,5,10,11,13,14],[1,3,7,10,12,13,14],[1,4,5,7,9,12,13],[1,4,6,7,8,13,14],[1,4,6,9,10,11,13],[1,5,8,9,10,12,14],[1,6,7,8,9,10,11],[2,3,6,9,10,13,14],[2,3,7,8,9,11,13],[2,4,5,7,9,10,14],[2,4,5,8,10,12,13],[2,4,6,10,11,12,14],[2,5,7,9,11,13,14],[2,6,7,8,10,12,13],[3,4,5,7,8,10,11],[3,4,6,7,9,12,14],[3,4,8,9,11,12,14],[3,5,6,7,10,11,12],[3,5,6,8,9,12,13],[4,5,6,8,11,13,14]]; G[9074]:=Group([(2,9)(3,10)(4,8)(5,11)(13,14)]); # Design 9075: autom. group order 2, simple, residual B[9075]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,6,9,11,12],[1,2,7,9,10,11,13],[1,3,5,9,10,13,14],[1,3,7,8,9,12,13],[1,4,5,8,10,11,12],[1,4,6,7,9,11,14],[1,4,6,7,10,12,14],[1,5,7,8,11,13,14],[1,6,8,10,12,13,14],[2,3,6,10,11,13,14],[2,3,7,10,11,12,14],[2,4,5,7,8,10,13],[2,4,5,7,12,13,14],[2,4,6,8,9,13,14],[2,5,8,9,11,12,14],[2,6,7,8,9,10,12],[3,4,5,9,10,12,14],[3,4,6,8,11,12,13],[3,4,7,8,9,11,14],[3,5,6,7,8,10,11],[3,5,6,7,9,12,13],[4,5,6,9,10,11,13]]; G[9075]:=Group([(1,6)(2,5)(4,7)(9,11)]); # Design 9076: autom. group order 2, simple, residual B[9076]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,6,9,11,12],[1,2,7,9,10,11,13],[1,3,5,9,10,13,14],[1,3,7,8,9,12,13],[1,4,5,8,11,13,14],[1,4,6,7,9,11,14],[1,4,6,7,10,12,14],[1,5,7,8,10,11,12],[1,6,8,10,12,13,14],[2,3,6,10,11,13,14],[2,3,7,10,11,12,14],[2,4,5,7,8,10,13],[2,4,5,7,12,13,14],[2,4,6,8,9,10,12],[2,5,8,9,11,12,14],[2,6,7,8,9,13,14],[3,4,5,9,10,12,14],[3,4,6,8,11,12,13],[3,4,7,8,9,11,14],[3,5,6,7,8,10,11],[3,5,6,7,9,12,13],[4,5,6,9,10,11,13]]; G[9076]:=Group([(1,6)(2,5)(4,7)(9,11)]); # Design 9077: autom. group order 2, simple, residual B[9077]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,6,9,11,12],[1,2,7,9,11,13,14],[1,3,5,9,10,13,14],[1,3,7,8,9,12,13],[1,4,5,8,10,11,13],[1,4,6,7,9,10,11],[1,4,6,7,10,12,14],[1,5,7,8,11,12,14],[1,6,8,10,12,13,14],[2,3,6,10,11,13,14],[2,3,7,10,11,12,14],[2,4,5,7,8,13,14],[2,4,5,7,10,12,13],[2,4,6,8,9,12,14],[2,5,8,9,10,11,12],[2,6,7,8,9,10,13],[3,4,5,9,10,12,14],[3,4,6,8,11,12,13],[3,4,7,8,9,11,14],[3,5,6,7,8,10,11],[3,5,6,7,9,12,13],[4,5,6,9,11,13,14]]; G[9077]:=Group([(1,6)(2,5)(4,7)(9,11)]); # Design 9078: autom. group order 2, simple, residual B[9078]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,6,9,12,14],[1,2,7,8,9,10,13],[1,3,5,9,10,13,14],[1,3,7,8,12,13,14],[1,4,5,10,11,12,13],[1,4,6,7,9,10,12],[1,4,6,7,11,13,14],[1,5,7,8,10,11,14],[1,6,8,9,11,12,14],[2,3,6,10,12,13,14],[2,3,7,10,11,12,14],[2,4,5,7,8,13,14],[2,4,5,7,9,12,14],[2,4,6,8,10,11,14],[2,5,8,9,11,12,13],[2,6,7,9,10,11,13],[3,4,5,9,10,11,14],[3,4,6,8,9,13,14],[3,4,7,8,9,11,12],[3,5,6,7,8,10,12],[3,5,6,7,9,11,13],[4,5,6,8,10,12,13]]; G[9078]:=Group([(1,6)(2,5)(4,7)(9,12)]); # Design 9079: autom. group order 2, simple, residual B[9079]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,6,9,12,14],[1,2,7,8,10,11,14],[1,3,5,9,10,13,14],[1,3,7,8,9,13,14],[1,4,5,10,11,12,13],[1,4,6,7,9,10,12],[1,4,6,7,11,13,14],[1,5,7,8,10,12,13],[1,6,8,9,11,12,14],[2,3,6,10,12,13,14],[2,3,7,10,11,12,14],[2,4,5,7,8,13,14],[2,4,5,7,9,12,14],[2,4,6,8,9,10,13],[2,5,8,9,11,12,13],[2,6,7,9,10,11,13],[3,4,5,9,10,11,14],[3,4,6,8,12,13,14],[3,4,7,8,9,11,12],[3,5,6,7,8,10,12],[3,5,6,7,9,11,13],[4,5,6,8,10,11,14]]; G[9079]:=Group([(1,6)(2,5)(4,7)(9,12)]); # Design 9080: autom. group order 2, simple, residual B[9080]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,6,9,12,14],[1,2,7,8,10,12,13],[1,3,5,10,12,13,14],[1,3,7,8,9,13,14],[1,4,5,9,10,11,13],[1,4,6,7,9,10,12],[1,4,6,7,11,13,14],[1,5,7,8,10,11,14],[1,6,8,9,11,12,14],[2,3,6,9,10,13,14],[2,3,7,9,10,11,14],[2,4,5,7,8,13,14],[2,4,5,7,9,12,14],[2,4,6,8,10,11,14],[2,5,8,9,11,12,13],[2,6,7,10,11,12,13],[3,4,5,10,11,12,14],[3,4,6,8,12,13,14],[3,4,7,8,9,11,12],[3,5,6,7,8,10,12],[3,5,6,7,9,11,13],[4,5,6,8,9,10,13]]; G[9080]:=Group([(1,6)(2,5)(4,7)(9,12)]); # Design 9081: autom. group order 2, simple, residual B[9081]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,6,9,12,14],[1,2,7,8,10,12,13],[1,3,5,9,10,13,14],[1,3,7,8,9,13,14],[1,4,5,8,11,13,14],[1,4,6,7,9,12,14],[1,4,6,7,10,11,14],[1,5,7,10,11,12,13],[1,6,8,9,10,11,12],[2,3,6,10,12,13,14],[2,3,7,9,10,11,14],[2,4,5,7,8,10,14],[2,4,5,7,9,12,13],[2,4,6,9,10,11,13],[2,5,8,9,11,12,14],[2,6,7,8,11,13,14],[3,4,5,10,11,12,14],[3,4,6,8,12,13,14],[3,4,7,8,9,11,12],[3,5,6,7,8,10,12],[3,5,6,7,9,11,13],[4,5,6,8,9,10,13]]; G[9081]:=Group([(1,6)(2,5)(4,7)(9,12)]); # Design 9082: autom. group order 2, simple, residual B[9082]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,6,9,12,14],[1,2,7,8,10,11,14],[1,3,5,9,10,13,14],[1,3,7,8,9,13,14],[1,4,5,8,10,12,13],[1,4,6,7,9,10,12],[1,4,6,7,11,13,14],[1,5,7,10,11,12,13],[1,6,8,9,11,12,14],[2,3,6,10,12,13,14],[2,3,7,10,11,12,14],[2,4,5,7,8,13,14],[2,4,5,7,9,12,14],[2,4,6,9,10,11,13],[2,5,8,9,11,12,13],[2,6,7,8,9,10,13],[3,4,5,9,10,11,14],[3,4,6,8,12,13,14],[3,4,7,8,9,11,12],[3,5,6,7,8,10,12],[3,5,6,7,9,11,13],[4,5,6,8,10,11,14]]; G[9082]:=Group([(1,6)(2,5)(4,7)(9,12)]); # Design 9083: autom. group order 2, simple, residual B[9083]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,11,12,14],[1,2,6,8,9,11,13],[1,3,5,10,12,13,14],[1,3,6,9,10,11,12],[1,4,5,9,10,13,14],[1,4,6,7,9,12,14],[1,4,7,8,10,11,12],[1,5,6,7,8,10,13],[1,7,8,9,11,13,14],[2,3,7,8,9,12,14],[2,3,7,10,11,13,14],[2,4,5,8,9,12,13],[2,4,5,9,10,11,14],[2,4,6,7,10,12,13],[2,5,6,7,9,10,11],[2,6,8,10,12,13,14],[3,4,5,7,8,11,13],[3,4,6,7,9,13,14],[3,4,6,8,10,11,14],[3,5,6,9,11,12,13],[3,5,7,8,9,10,12],[4,5,6,8,11,12,14]]; G[9083]:=Group([(1,13)(3,12)(5,10)]); # Design 9084: autom. group order 2, simple, residual B[9084]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,6,7,10,13,14],[1,3,5,8,10,11,13],[1,3,6,9,12,13,14],[1,4,5,7,9,10,13],[1,4,6,9,10,11,12],[1,4,7,8,12,13,14],[1,5,7,8,11,12,14],[1,6,8,9,10,11,14],[2,3,7,8,9,10,12],[2,3,7,9,11,13,14],[2,4,5,6,9,11,14],[2,4,5,8,10,12,14],[2,4,6,8,11,12,13],[2,5,9,10,12,13,14],[2,6,7,8,10,11,13],[3,4,5,10,11,13,14],[3,4,6,7,10,12,14],[3,4,7,8,9,11,14],[3,5,6,7,10,11,12],[3,5,6,8,9,12,13],[4,5,6,7,8,9,13]]; G[9084]:=Group([(2,9)(3,10)(5,11)(7,12)]); # Design 9085: autom. group order 2, simple, residual B[9085]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,6,10,11,13,14],[1,3,5,8,10,12,13],[1,3,6,7,9,13,14],[1,4,5,7,9,10,13],[1,4,6,9,10,11,12],[1,4,7,8,11,13,14],[1,5,7,8,11,12,14],[1,6,8,9,10,12,14],[2,3,7,8,9,10,11],[2,3,9,11,12,13,14],[2,4,5,6,9,12,14],[2,4,5,8,10,11,14],[2,4,6,7,8,12,13],[2,5,7,9,10,13,14],[2,6,7,8,10,12,13],[3,4,5,10,12,13,14],[3,4,6,7,10,11,14],[3,4,7,8,9,12,14],[3,5,6,7,10,11,12],[3,5,6,8,9,11,13],[4,5,6,8,9,11,13]]; G[9085]:=Group([(2,9)(3,10)(5,12)(7,11)]); # Design 9086: autom. group order 2, simple B[9086]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,7,8,12,14],[1,2,6,9,10,11,14],[1,3,5,9,12,13,14],[1,3,6,10,12,13,14],[1,4,5,7,9,11,13],[1,4,6,7,9,10,12],[1,4,8,10,11,13,14],[1,5,7,8,9,10,13],[1,6,7,8,11,12,14],[2,3,7,8,9,13,14],[2,3,7,9,10,11,14],[2,4,5,6,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,9,12,13],[2,5,8,10,11,12,13],[2,6,7,9,11,12,13],[3,4,5,9,11,12,14],[3,4,6,7,8,13,14],[3,4,7,8,10,11,12],[3,5,6,7,10,11,13],[3,5,6,8,9,10,12],[4,5,6,8,9,11,14]]; G[9086]:=Group([(1,13)(3,12)(4,11)(5,9)]); # Design 9087: autom. group order 2, simple, residual B[9087]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,14],[1,2,6,8,11,12,13],[1,3,5,9,10,12,13],[1,3,6,9,10,11,14],[1,4,5,8,10,12,14],[1,4,6,7,9,12,13],[1,4,7,8,10,13,14],[1,5,7,8,9,11,12],[1,6,7,10,11,13,14],[2,3,7,8,12,13,14],[2,3,7,10,11,12,14],[2,4,5,6,10,11,13],[2,4,5,7,9,13,14],[2,4,6,9,10,12,14],[2,5,8,9,10,11,13],[2,6,7,8,9,10,12],[3,4,5,7,10,11,12],[3,4,6,7,8,9,11],[3,4,8,9,11,13,14],[3,5,6,7,8,10,13],[3,5,6,9,12,13,14],[4,5,6,8,11,12,14]]; G[9087]:=Group([(1,10)(3,9)(4,8)(5,12)]); # Design 9088: autom. group order 2, simple, residual B[9088]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,7,8,12,14],[1,2,6,9,10,11,14],[1,3,5,9,12,13,14],[1,3,6,10,12,13,14],[1,4,5,9,11,13,14],[1,4,6,7,9,10,12],[1,4,7,8,10,11,13],[1,5,7,8,9,10,13],[1,6,7,8,11,12,14],[2,3,7,8,9,13,14],[2,3,7,9,10,11,14],[2,4,5,6,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,9,12,13],[2,5,8,10,11,12,13],[2,6,7,9,11,12,13],[3,4,5,7,9,11,12],[3,4,6,7,8,13,14],[3,4,8,10,11,12,14],[3,5,6,7,10,11,13],[3,5,6,8,9,10,12],[4,5,6,8,9,11,14]]; G[9088]:=Group([(1,13)(3,12)(4,11)(5,9)]); # Design 9089: autom. group order 2, simple B[9089]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,14],[1,2,6,7,10,12,13],[1,3,5,10,11,12,14],[1,3,6,8,9,11,13],[1,4,5,9,10,12,13],[1,4,6,7,9,10,11],[1,4,7,8,11,12,14],[1,5,8,9,10,13,14],[1,6,7,8,12,13,14],[2,3,7,8,9,10,12],[2,3,7,10,11,13,14],[2,4,5,6,9,12,14],[2,4,5,8,11,12,13],[2,4,7,8,9,13,14],[2,5,6,8,10,11,13],[2,6,9,10,11,12,14],[3,4,5,7,10,13,14],[3,4,6,8,10,12,14],[3,4,6,9,11,13,14],[3,5,6,7,9,12,13],[3,5,7,8,9,11,12],[4,5,6,7,8,10,11]]; G[9089]:=Group([(2,10)(3,9)(6,13)(7,12)]); # Design 9090: autom. group order 2, simple B[9090]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,14],[1,2,6,9,10,12,14],[1,3,5,7,10,12,13],[1,3,6,8,10,11,13],[1,4,5,8,11,12,14],[1,4,6,7,12,13,14],[1,4,7,9,10,13,14],[1,5,8,9,11,12,13],[1,6,7,8,9,10,11],[2,3,7,10,11,12,14],[2,3,8,9,12,13,14],[2,4,5,6,10,11,13],[2,4,5,7,8,9,13],[2,4,7,8,10,11,12],[2,5,6,9,10,12,13],[2,6,7,8,11,13,14],[3,4,5,9,10,11,14],[3,4,6,7,8,9,12],[3,4,6,9,11,13,14],[3,5,6,7,9,11,12],[3,5,7,8,10,13,14],[4,5,6,8,10,12,14]]; G[9090]:=Group([(1,11)(3,7)(4,14)(5,12)(6,10)(9,13)]); # Design 9091: autom. group order 2, simple B[9091]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,8,9,11,12],[1,2,6,7,10,11,14],[1,3,5,7,10,12,13],[1,3,6,9,11,13,14],[1,4,5,7,9,10,11],[1,4,6,9,10,12,13],[1,4,7,8,11,13,14],[1,5,7,8,12,13,14],[1,6,8,9,10,12,14],[2,3,7,8,9,10,13],[2,3,10,11,12,13,14],[2,4,5,6,10,13,14],[2,4,5,9,11,12,14],[2,4,7,8,10,12,14],[2,5,6,7,9,12,13],[2,6,7,8,9,11,13],[3,4,5,8,9,13,14],[3,4,6,7,8,11,12],[3,4,6,7,9,12,14],[3,5,6,8,10,11,12],[3,5,7,9,10,11,14],[4,5,6,8,10,11,13]]; G[9091]:=Group([(2,9)(3,10)(5,12)(7,13)]); # Design 9092: autom. group order 2, simple, residual B[9092]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,11,12,14],[1,2,6,7,9,13,14],[1,3,5,10,11,12,14],[1,3,6,7,10,11,13],[1,4,5,7,8,12,13],[1,4,6,9,10,12,14],[1,4,7,8,11,13,14],[1,5,7,8,9,10,11],[1,6,8,9,10,12,13],[2,3,7,9,10,13,14],[2,3,8,9,11,12,13],[2,4,5,6,10,12,13],[2,4,5,7,9,10,11],[2,4,7,8,10,12,14],[2,5,6,8,10,11,13],[2,6,7,8,11,12,14],[3,4,5,8,9,13,14],[3,4,6,7,9,11,12],[3,4,6,8,10,11,14],[3,5,6,7,8,9,12],[3,5,7,10,12,13,14],[4,5,6,9,11,13,14]]; G[9092]:=Group([(2,9)(3,10)(4,8)(5,12)(7,13)]); # Design 9093: autom. group order 2, simple B[9093]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,8,9,11,12],[1,2,6,10,11,13,14],[1,3,5,7,10,12,13],[1,3,6,7,9,11,14],[1,4,5,7,9,10,11],[1,4,6,9,10,12,13],[1,4,7,8,11,13,14],[1,5,7,8,12,13,14],[1,6,8,9,10,12,14],[2,3,7,8,9,10,13],[2,3,7,10,11,12,14],[2,4,5,6,10,13,14],[2,4,5,9,11,12,14],[2,4,7,8,10,12,14],[2,5,6,7,9,12,13],[2,6,7,8,9,11,13],[3,4,5,8,9,13,14],[3,4,6,7,9,12,14],[3,4,6,8,11,12,13],[3,5,6,8,10,11,12],[3,5,9,10,11,13,14],[4,5,6,7,8,10,11]]; G[9093]:=Group([(2,9)(3,10)(5,12)(7,13)]); # Design 9094: autom. group order 2, simple, residual B[9094]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,7,9,12,14],[1,2,6,8,12,13,14],[1,3,5,9,10,13,14],[1,3,6,7,9,10,12],[1,4,5,7,8,10,13],[1,4,7,9,11,12,13],[1,4,8,10,11,12,14],[1,5,6,10,11,13,14],[1,6,7,8,9,11,14],[2,3,7,8,11,13,14],[2,3,7,10,12,13,14],[2,4,5,6,10,12,14],[2,4,5,7,9,11,14],[2,4,6,9,10,11,13],[2,5,8,9,10,11,12],[2,6,7,8,9,10,13],[3,4,5,8,9,13,14],[3,4,6,7,10,11,14],[3,4,6,8,9,12,14],[3,5,6,9,11,12,13],[3,5,7,8,10,11,12],[4,5,6,7,8,12,13]]; G[9094]:=Group([(1,10)(3,9)(4,8)(5,13)]); # Design 9095: autom. group order 2, simple, residual B[9095]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,7,9,12,14],[1,2,6,8,12,13,14],[1,3,5,9,10,12,13],[1,3,6,7,9,10,14],[1,4,5,8,10,13,14],[1,4,7,8,10,11,14],[1,4,7,9,11,12,13],[1,5,6,7,10,11,13],[1,6,8,9,11,12,14],[2,3,7,8,11,13,14],[2,3,7,10,12,13,14],[2,4,5,6,10,12,14],[2,4,5,7,9,11,14],[2,4,6,9,10,11,13],[2,5,8,9,10,11,12],[2,6,7,8,9,10,13],[3,4,5,8,9,13,14],[3,4,6,7,8,9,12],[3,4,6,10,11,12,14],[3,5,6,9,11,13,14],[3,5,7,8,10,11,12],[4,5,6,7,8,12,13]]; G[9095]:=Group([(1,10)(3,9)(4,8)(5,13)]); # Design 9096: autom. group order 2, simple B[9096]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,7,9,12,14],[1,2,6,8,12,13,14],[1,3,5,9,10,13,14],[1,3,6,7,9,10,12],[1,4,5,8,10,13,14],[1,4,7,8,10,11,14],[1,4,7,9,11,12,13],[1,5,6,7,10,11,13],[1,6,8,9,11,12,14],[2,3,7,8,11,13,14],[2,3,7,10,12,13,14],[2,4,5,6,10,12,14],[2,4,5,7,9,11,14],[2,4,6,9,10,11,13],[2,5,8,9,10,11,12],[2,6,7,8,9,10,13],[3,4,5,8,9,12,13],[3,4,6,7,8,9,14],[3,4,6,10,11,12,14],[3,5,6,9,11,13,14],[3,5,7,8,10,11,12],[4,5,6,7,8,12,13]]; G[9096]:=Group([(1,10)(3,9)(4,8)(5,13)]); # Design 9097: autom. group order 2, simple, residual B[9097]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,7,8,12,14],[1,2,6,9,10,11,14],[1,3,5,9,12,13,14],[1,3,6,7,10,12,13],[1,4,5,9,11,13,14],[1,4,7,8,9,10,12],[1,4,7,8,11,13,14],[1,5,6,7,9,10,13],[1,6,8,10,11,12,14],[2,3,7,8,9,13,14],[2,3,7,9,10,11,14],[2,4,5,6,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,9,12,13],[2,5,8,10,11,12,13],[2,6,7,9,11,12,13],[3,4,5,9,10,11,12],[3,4,6,7,11,12,14],[3,4,6,8,10,13,14],[3,5,6,8,9,12,14],[3,5,7,8,10,11,13],[4,5,6,7,8,9,11]]; G[9097]:=Group([(1,13)(3,12)(4,11)(5,9)]); # Design 9098: autom. group order 2, simple, residual B[9098]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,7,8,12,14],[1,2,6,9,10,11,14],[1,3,5,9,12,13,14],[1,3,6,10,12,13,14],[1,4,5,7,9,11,13],[1,4,7,8,9,10,12],[1,4,8,10,11,13,14],[1,5,6,7,9,10,13],[1,6,7,8,11,12,14],[2,3,7,8,9,13,14],[2,3,7,9,10,11,14],[2,4,5,6,10,13,14],[2,4,5,7,10,12,14],[2,4,6,8,9,12,13],[2,5,8,10,11,12,13],[2,6,7,9,11,12,13],[3,4,5,9,11,12,14],[3,4,6,7,8,13,14],[3,4,6,7,10,11,12],[3,5,6,8,9,10,12],[3,5,7,8,10,11,13],[4,5,6,8,9,11,14]]; G[9098]:=Group([(1,13)(3,12)(4,11)(5,9)]); # Design 9099: autom. group order 2, simple B[9099]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,6,7,9,10,11],[1,3,5,9,10,13,14],[1,3,7,10,11,13,14],[1,4,5,6,12,13,14],[1,4,6,8,10,11,14],[1,4,7,8,9,12,13],[1,5,7,8,11,12,14],[1,6,8,9,10,12,13],[2,3,6,8,11,12,13],[2,3,7,10,12,13,14],[2,4,5,7,8,10,13],[2,4,5,9,10,12,14],[2,4,6,9,11,13,14],[2,5,8,9,11,13,14],[2,6,7,8,10,12,14],[3,4,5,8,10,11,12],[3,4,6,7,9,12,14],[3,4,7,8,9,11,14],[3,5,6,7,8,9,13],[3,5,6,9,10,11,12],[4,5,6,7,10,11,13]]; G[9099]:=Group([(2,12)(3,13)(5,9)(6,8)(10,14)]); # Design 9100: autom. group order 2, simple B[9100]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,10,11],[1,2,6,7,12,13,14],[1,3,5,9,11,12,13],[1,3,7,8,9,11,14],[1,4,5,6,10,12,14],[1,4,6,8,9,10,13],[1,4,7,9,12,13,14],[1,5,8,10,11,12,14],[1,6,7,8,10,11,13],[2,3,6,10,11,13,14],[2,3,7,8,10,12,13],[2,4,5,7,8,11,12],[2,4,5,8,9,13,14],[2,4,6,9,10,11,12],[2,5,7,9,10,13,14],[2,6,8,9,11,12,14],[3,4,5,10,11,13,14],[3,4,6,7,9,11,14],[3,4,7,8,10,12,14],[3,5,6,7,9,10,12],[3,5,6,8,9,12,13],[4,5,6,7,8,11,13]]; G[9100]:=Group([(1,11)(3,12)(5,9)(7,10)]); # Design 9101: autom. group order 2, simple B[9101]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,6,10,11,13,14],[1,3,5,9,10,13,14],[1,3,7,8,9,11,13],[1,4,5,6,7,10,12],[1,4,6,8,12,13,14],[1,4,7,8,10,11,14],[1,5,9,10,11,12,14],[1,6,7,8,9,12,13],[2,3,6,9,10,12,13],[2,3,7,8,11,12,14],[2,4,5,7,9,13,14],[2,4,5,8,10,11,13],[2,4,6,9,11,12,14],[2,5,7,8,10,12,13],[2,6,7,8,9,10,14],[3,4,5,8,9,12,14],[3,4,6,7,9,10,11],[3,4,7,10,12,13,14],[3,5,6,7,11,13,14],[3,5,6,8,10,11,12],[4,5,6,8,9,11,13]]; G[9101]:=Group([(2,10)(3,14)(4,11)(6,9)(7,12)(8,13)]); # Design 9102: autom. group order 2, simple, residual B[9102]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,6,9,11,13,14],[1,3,5,8,9,10,12],[1,3,7,9,10,13,14],[1,4,5,6,10,11,13],[1,4,6,7,8,12,13],[1,4,7,8,10,11,14],[1,5,7,9,12,13,14],[1,6,8,10,11,12,14],[2,3,6,7,10,13,14],[2,3,7,8,11,12,14],[2,4,5,8,12,13,14],[2,4,5,9,10,11,14],[2,4,6,7,9,10,12],[2,5,7,8,10,11,13],[2,6,8,9,10,12,13],[3,4,5,10,12,13,14],[3,4,6,9,11,12,14],[3,4,7,8,9,11,13],[3,5,6,7,10,11,12],[3,5,6,8,9,11,13],[4,5,6,7,8,9,14]]; G[9102]:=Group([(1,9)(3,10)(5,12)(13,14)]); # Design 9103: autom. group order 2, simple, residual B[9103]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,6,10,11,12,14],[1,3,5,8,9,11,13],[1,3,7,10,11,13,14],[1,4,5,6,10,12,13],[1,4,6,7,8,9,10],[1,4,7,8,12,13,14],[1,5,7,9,10,11,14],[1,6,8,9,12,13,14],[2,3,6,7,10,13,14],[2,3,7,8,9,12,14],[2,4,5,8,11,13,14],[2,4,5,9,10,12,14],[2,4,6,7,9,11,13],[2,5,7,8,10,12,13],[2,6,8,9,10,11,13],[3,4,5,9,10,13,14],[3,4,6,9,11,12,14],[3,4,7,8,10,11,12],[3,5,6,7,9,12,13],[3,5,6,8,10,11,12],[4,5,6,7,8,11,14]]; G[9103]:=Group([(1,11)(3,13)(5,9)(10,14)]); # Design 9104: autom. group order 2, simple, residual B[9104]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,10,11],[1,2,6,8,9,11,12],[1,3,5,10,11,13,14],[1,3,7,9,11,12,14],[1,4,5,6,12,13,14],[1,4,6,7,9,10,14],[1,4,7,8,10,12,13],[1,5,8,9,10,12,13],[1,6,7,8,11,13,14],[2,3,6,7,10,12,13],[2,3,7,9,12,13,14],[2,4,5,7,8,11,13],[2,4,5,10,11,12,14],[2,4,6,9,10,13,14],[2,5,7,8,9,13,14],[2,6,8,10,11,12,14],[3,4,5,8,9,12,14],[3,4,6,8,9,11,13],[3,4,7,8,10,11,14],[3,5,6,7,8,10,12],[3,5,6,9,10,11,13],[4,5,6,7,9,11,12]]; G[9104]:=Group([(2,13)(3,12)(5,8)(6,10)(9,14)]); # Design 9105: autom. group order 2, simple B[9105]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,10,11],[1,2,6,9,12,13,14],[1,3,5,10,11,12,13],[1,3,8,9,10,11,14],[1,4,5,6,9,12,14],[1,4,6,7,8,10,13],[1,4,7,10,12,13,14],[1,5,7,8,11,12,14],[1,6,7,8,9,11,13],[2,3,6,7,11,13,14],[2,3,7,8,9,12,13],[2,4,5,7,8,11,12],[2,4,5,8,10,13,14],[2,4,6,9,10,11,12],[2,5,7,9,10,13,14],[2,6,8,10,11,12,14],[3,4,5,9,11,13,14],[3,4,6,7,10,11,14],[3,4,7,8,9,12,14],[3,5,6,7,9,10,12],[3,5,6,8,10,12,13],[4,5,6,8,9,11,13]]; G[9105]:=Group([(1,11)(3,12)(5,10)(7,9)]); # Design 9106: autom. group order 2, simple, residual B[9106]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,7,9,12,14],[1,2,6,10,12,13,14],[1,3,5,7,8,13,14],[1,3,7,10,11,12,14],[1,4,5,6,9,10,12],[1,4,6,8,12,13,14],[1,4,7,9,10,11,13],[1,5,8,9,10,11,13],[1,6,7,8,9,11,14],[2,3,6,7,9,10,13],[2,3,8,9,10,12,14],[2,4,5,7,9,13,14],[2,4,5,8,10,11,14],[2,4,7,8,11,12,13],[2,5,6,10,11,13,14],[2,6,7,8,9,11,12],[3,4,5,9,11,12,14],[3,4,6,7,10,11,14],[3,4,6,8,9,13,14],[3,5,6,9,11,12,13],[3,5,7,8,10,12,13],[4,5,6,7,8,10,12]]; G[9106]:=Group([(2,10)(3,9)(5,11)(6,13)]); # Design 9107: autom. group order 2, simple, residual B[9107]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,7,9,12,14],[1,2,6,10,12,13,14],[1,3,5,7,8,13,14],[1,3,7,10,11,12,14],[1,4,5,6,9,10,12],[1,4,6,8,12,13,14],[1,4,7,9,10,11,13],[1,5,8,9,10,11,13],[1,6,7,8,9,11,14],[2,3,6,7,9,10,13],[2,3,8,9,10,12,14],[2,4,5,7,10,11,14],[2,4,5,8,9,13,14],[2,4,7,8,11,12,13],[2,5,6,10,11,13,14],[2,6,7,8,9,11,12],[3,4,5,9,11,12,14],[3,4,6,7,9,13,14],[3,4,6,8,10,11,14],[3,5,6,9,11,12,13],[3,5,7,8,10,12,13],[4,5,6,7,8,10,12]]; G[9107]:=Group([(2,10)(3,9)(5,11)(6,13)]); # Design 9108: autom. group order 2, simple, residual B[9108]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,10,11],[1,2,6,9,10,12,13],[1,3,5,7,8,12,13],[1,3,7,9,11,12,14],[1,4,5,6,10,11,14],[1,4,6,8,9,13,14],[1,4,8,10,11,12,14],[1,5,7,10,12,13,14],[1,6,7,8,9,11,13],[2,3,6,10,12,13,14],[2,3,7,8,10,11,14],[2,4,5,7,9,13,14],[2,4,5,8,11,12,13],[2,4,7,8,9,12,14],[2,5,6,9,11,12,14],[2,6,7,8,10,11,13],[3,4,5,9,10,11,13],[3,4,6,7,9,10,12],[3,4,6,7,11,13,14],[3,5,6,8,9,11,12],[3,5,8,9,10,13,14],[4,5,6,7,8,10,12]]; G[9108]:=Group([(1,9)(2,10)(6,13)(7,11)]); # Design 9109: autom. group order 2, simple, residual B[9109]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,11,12,14],[1,2,6,7,8,11,12],[1,3,5,7,10,11,13],[1,3,7,10,12,13,14],[1,4,5,6,9,13,14],[1,4,6,9,10,11,12],[1,4,7,8,12,13,14],[1,5,7,8,9,10,14],[1,6,8,9,10,11,13],[2,3,6,7,9,10,13],[2,3,8,9,11,13,14],[2,4,5,7,9,10,12],[2,4,5,10,11,13,14],[2,4,7,8,10,11,14],[2,5,6,8,10,12,13],[2,6,7,9,12,13,14],[3,4,5,8,9,12,13],[3,4,6,7,9,11,14],[3,4,6,8,10,12,14],[3,5,6,10,11,12,14],[3,5,7,8,9,11,12],[4,5,6,7,8,11,13]]; G[9109]:=Group([(2,9)(3,10)(4,8)(5,11)(7,13)(12,14)]); # Design 9110: autom. group order 2, simple B[9110]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,14],[1,2,6,7,9,10,12],[1,3,5,7,11,12,13],[1,3,7,8,9,11,14],[1,4,5,6,10,11,13],[1,4,6,9,11,12,14],[1,4,7,8,10,13,14],[1,5,8,10,12,13,14],[1,6,7,8,9,12,13],[2,3,6,8,10,12,13],[2,3,7,10,11,13,14],[2,4,5,7,8,12,14],[2,4,5,9,12,13,14],[2,4,7,8,9,11,13],[2,5,6,8,9,11,13],[2,6,7,10,11,12,14],[3,4,5,7,9,10,12],[3,4,6,8,11,12,14],[3,4,6,9,10,13,14],[3,5,6,7,9,13,14],[3,5,8,9,10,11,12],[4,5,6,7,8,10,11]]; G[9110]:=Group([(1,9)(2,10)(6,12)(11,14)]); # Design 9111: autom. group order 2, simple, residual B[9111]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,14],[1,2,6,7,9,10,12],[1,3,5,7,12,13,14],[1,3,7,8,9,11,13],[1,4,5,6,9,11,13],[1,4,6,8,10,12,13],[1,4,7,8,10,11,14],[1,5,8,9,12,13,14],[1,6,7,10,11,12,14],[2,3,6,9,11,12,14],[2,3,7,8,10,13,14],[2,4,5,7,8,11,12],[2,4,5,10,12,13,14],[2,4,7,9,11,13,14],[2,5,6,8,10,11,13],[2,6,7,8,9,12,13],[3,4,5,7,9,10,12],[3,4,6,8,11,12,14],[3,4,6,9,10,13,14],[3,5,6,7,10,11,13],[3,5,8,9,10,11,12],[4,5,6,7,8,9,14]]; G[9111]:=Group([(1,10)(2,9)(6,12)(11,14)]); # Design 9112: autom. group order 2, simple, residual B[9112]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,6,7,10,11,13],[1,3,5,9,10,13,14],[1,3,7,8,11,12,14],[1,4,5,6,12,13,14],[1,4,6,8,10,11,14],[1,4,7,8,9,12,13],[1,5,7,9,10,11,14],[1,6,8,9,10,12,13],[2,3,7,10,12,13,14],[2,3,8,9,11,13,14],[2,4,5,8,10,11,13],[2,4,5,9,10,12,14],[2,4,6,7,9,13,14],[2,5,6,8,9,11,12],[2,6,7,8,10,12,14],[3,4,5,7,8,10,12],[3,4,6,7,9,10,11],[3,4,6,9,11,12,14],[3,5,6,7,8,9,13],[3,5,6,10,11,12,13],[4,5,7,8,11,13,14]]; G[9112]:=Group([(2,12)(3,13)(5,9)(6,8)(10,14)]); # Design 9113: autom. group order 2, simple B[9113]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,10,11],[1,2,6,8,9,11,12],[1,3,5,10,11,13,14],[1,3,7,9,11,12,14],[1,4,5,6,12,13,14],[1,4,6,7,9,10,14],[1,4,7,8,10,12,13],[1,5,8,9,10,12,13],[1,6,7,8,11,13,14],[2,3,7,8,10,13,14],[2,3,7,9,12,13,14],[2,4,5,8,9,13,14],[2,4,5,10,11,12,14],[2,4,6,7,10,11,13],[2,5,6,7,9,12,13],[2,6,8,10,11,12,14],[3,4,5,7,8,11,12],[3,4,6,8,9,11,13],[3,4,6,9,10,12,14],[3,5,6,7,8,10,12],[3,5,6,9,10,11,13],[4,5,7,8,9,11,14]]; G[9113]:=Group([(2,13)(3,12)(5,8)(6,10)(9,14)]); # Design 9114: autom. group order 2, simple, residual B[9114]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,6,7,9,11,13],[1,3,5,7,10,13,14],[1,3,8,9,11,12,14],[1,4,5,6,9,12,13],[1,4,6,7,8,11,14],[1,4,8,10,12,13,14],[1,5,7,9,10,11,14],[1,6,7,8,10,12,13],[2,3,7,8,10,11,13],[2,3,7,9,12,13,14],[2,4,5,7,10,12,14],[2,4,5,8,11,13,14],[2,4,6,9,10,13,14],[2,5,6,8,10,11,12],[2,6,7,8,9,12,14],[3,4,5,7,8,9,12],[3,4,6,7,10,11,12],[3,4,6,9,10,11,14],[3,5,6,8,9,10,13],[3,5,6,11,12,13,14],[4,5,7,8,9,11,13]]; G[9114]:=Group([(2,12)(3,13)(5,10)(6,8)(7,14)]); # Design 9115: autom. group order 2, simple, residual B[9115]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,7,14],[1,2,5,8,9,11,14],[1,2,6,10,12,13,14],[1,3,5,8,9,10,12],[1,3,7,8,11,12,13],[1,4,5,6,9,12,13],[1,4,7,8,10,12,14],[1,4,7,9,11,13,14],[1,5,6,8,10,11,13],[1,6,7,9,10,11,14],[2,3,6,9,10,11,13],[2,3,7,8,10,13,14],[2,4,5,7,10,11,12],[2,4,5,8,9,13,14],[2,4,6,8,11,12,14],[2,5,7,9,10,11,12],[2,6,7,8,9,12,13],[3,4,5,10,11,13,14],[3,4,6,7,8,9,11],[3,4,6,9,10,12,14],[3,5,6,8,11,12,14],[3,5,7,9,12,13,14],[4,5,6,7,8,10,13]]; G[9115]:=Group([(1,11)(3,12)(6,10)(9,14)]); # Design 9116: autom. group order 2, simple, residual B[9116]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,7,14],[1,2,5,8,9,11,14],[1,2,6,8,10,12,13],[1,3,5,9,10,12,14],[1,3,7,9,11,12,13],[1,4,5,6,8,12,13],[1,4,7,8,11,13,14],[1,4,7,9,10,12,14],[1,5,6,9,10,11,13],[1,6,7,8,10,11,14],[2,3,6,10,11,13,14],[2,3,7,8,9,10,13],[2,4,5,7,10,11,12],[2,4,5,8,9,13,14],[2,4,6,9,11,12,14],[2,5,7,8,10,11,12],[2,6,7,9,12,13,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,11],[3,4,6,8,10,12,14],[3,5,6,8,9,11,12],[3,5,7,8,12,13,14],[4,5,6,7,9,10,13]]; G[9116]:=Group([(1,11)(3,12)(6,10)(8,14)]); # Design 9117: autom. group order 2, simple, residual B[9117]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,7,14],[1,2,5,8,9,11,12],[1,2,6,8,11,13,14],[1,3,5,8,10,11,14],[1,3,7,9,12,13,14],[1,4,5,6,9,10,13],[1,4,7,8,12,13,14],[1,4,7,9,10,11,14],[1,5,6,9,10,12,13],[1,6,7,8,10,11,12],[2,3,6,8,10,12,13],[2,3,7,9,10,11,13],[2,4,5,7,8,9,12],[2,4,5,10,11,12,14],[2,4,6,9,11,13,14],[2,5,7,10,12,13,14],[2,6,7,8,9,10,14],[3,4,5,8,10,13,14],[3,4,6,7,10,11,12],[3,4,6,8,9,12,14],[3,5,6,9,11,12,14],[3,5,7,8,9,11,13],[4,5,6,7,8,11,13]]; G[9117]:=Group([(2,10)(3,9)(7,13)(12,14)]); # Design 9118: autom. group order 2, simple, residual B[9118]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,7,14],[1,2,5,8,9,11,12],[1,2,6,8,10,11,14],[1,3,5,8,11,13,14],[1,3,7,9,10,12,14],[1,4,5,6,10,12,13],[1,4,7,8,12,13,14],[1,4,7,9,10,11,14],[1,5,6,9,10,12,13],[1,6,7,8,9,11,13],[2,3,6,8,9,10,13],[2,3,7,10,11,12,13],[2,4,5,7,8,9,12],[2,4,5,9,11,13,14],[2,4,6,10,11,12,14],[2,5,7,9,10,13,14],[2,6,7,8,12,13,14],[3,4,5,8,10,13,14],[3,4,6,7,9,11,13],[3,4,6,8,9,12,14],[3,5,6,9,11,12,14],[3,5,7,8,10,11,12],[4,5,6,7,8,10,11]]; G[9118]:=Group([(2,13)(3,12)(7,10)(9,14)]); # Design 9119: autom. group order 2, simple, residual B[9119]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,7,14],[1,2,5,8,9,10,11],[1,2,6,8,11,12,13],[1,3,5,8,9,12,14],[1,3,7,9,10,12,13],[1,4,5,6,10,12,13],[1,4,7,8,9,13,14],[1,4,7,10,11,12,14],[1,5,6,9,11,13,14],[1,6,7,8,10,11,14],[2,3,6,8,10,13,14],[2,3,7,9,11,12,14],[2,4,5,8,11,12,14],[2,4,5,9,10,13,14],[2,4,6,7,9,10,11],[2,5,7,10,12,13,14],[2,6,7,8,9,12,13],[3,4,5,7,8,11,13],[3,4,6,8,10,12,14],[3,4,6,9,11,13,14],[3,5,6,9,10,11,12],[3,5,7,8,10,11,13],[4,5,6,7,8,9,12]]; G[9119]:=Group([(1,11)(2,13)(6,8)(10,14)]); # Design 9120: autom. group order 2, simple, residual B[9120]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,7,14],[1,2,5,8,9,11,12],[1,2,6,8,11,13,14],[1,3,5,8,10,11,14],[1,3,7,9,12,13,14],[1,4,5,6,9,10,13],[1,4,7,8,12,13,14],[1,4,7,9,10,11,14],[1,5,6,9,10,12,13],[1,6,7,8,10,11,12],[2,3,6,8,10,12,13],[2,3,7,9,10,11,13],[2,4,5,8,9,13,14],[2,4,5,10,11,12,14],[2,4,6,7,9,11,12],[2,5,7,10,12,13,14],[2,6,7,8,9,10,14],[3,4,5,7,8,10,12],[3,4,6,8,9,12,14],[3,4,6,10,11,13,14],[3,5,6,9,11,12,14],[3,5,7,8,9,11,13],[4,5,6,7,8,11,13]]; G[9120]:=Group([(2,10)(3,9)(7,13)(12,14)]); # Design 9121: autom. group order 2, simple, residual B[9121]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,6,9,11,13,14],[1,3,5,7,9,10,12],[1,3,8,10,11,12,14],[1,4,5,6,8,10,13],[1,4,7,8,9,11,13],[1,4,7,10,12,13,14],[1,5,6,9,12,13,14],[1,6,7,8,10,11,14],[2,3,6,7,10,11,13],[2,3,7,8,12,13,14],[2,4,5,7,10,13,14],[2,4,5,8,11,12,14],[2,4,6,9,10,12,14],[2,5,8,9,10,11,13],[2,6,7,8,9,10,12],[3,4,5,9,10,11,14],[3,4,6,7,9,11,14],[3,4,6,8,9,12,13],[3,5,6,10,11,12,13],[3,5,7,8,9,13,14],[4,5,6,7,8,11,12]]; G[9121]:=Group([(1,9)(3,10)(4,8)(5,12)]); # Design 9122: autom. group order 2, simple, residual B[9122]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,10,11],[1,2,6,9,12,13,14],[1,3,5,10,11,12,13],[1,3,7,8,10,12,14],[1,4,5,6,9,12,14],[1,4,7,8,9,11,14],[1,4,7,10,12,13,14],[1,5,6,8,10,11,13],[1,6,7,8,9,11,13],[2,3,6,7,11,13,14],[2,3,7,8,9,12,13],[2,4,5,7,8,11,12],[2,4,5,8,10,13,14],[2,4,6,9,10,11,12],[2,5,7,9,10,13,14],[2,6,8,10,11,12,14],[3,4,5,9,11,13,14],[3,4,6,7,10,11,14],[3,4,6,8,9,10,13],[3,5,6,7,9,10,12],[3,5,8,9,11,12,14],[4,5,6,7,8,12,13]]; G[9122]:=Group([(1,11)(3,12)(5,10)(7,9)]); # Design 9123: autom. group order 2, simple, residual B[9123]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,6,9,10,11,14],[1,3,5,9,10,11,13],[1,3,7,8,10,12,14],[1,4,5,6,10,12,13],[1,4,7,8,9,12,13],[1,4,7,8,10,11,14],[1,5,6,8,12,13,14],[1,6,7,9,11,13,14],[2,3,6,7,8,11,13],[2,3,7,10,12,13,14],[2,4,5,7,11,12,14],[2,4,5,8,9,13,14],[2,4,6,9,10,12,14],[2,5,7,8,9,10,13],[2,6,8,10,11,12,13],[3,4,5,10,11,13,14],[3,4,6,7,9,13,14],[3,4,6,8,9,11,12],[3,5,6,7,9,10,12],[3,5,8,9,11,12,14],[4,5,6,7,8,10,11]]; G[9123]:=Group([(2,13)(3,12)(7,10)]); # Design 9124: autom. group order 2, simple, residual B[9124]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,6,9,11,13,14],[1,3,5,9,10,11,14],[1,3,7,8,10,13,14],[1,4,5,6,10,12,13],[1,4,7,8,9,12,14],[1,4,7,8,10,11,13],[1,5,6,8,10,11,12],[1,6,7,9,12,13,14],[2,3,6,7,10,12,13],[2,3,7,10,11,12,14],[2,4,5,7,8,12,14],[2,4,5,9,10,13,14],[2,4,6,8,11,13,14],[2,5,8,9,10,12,13],[2,6,7,8,9,10,11],[3,4,5,7,9,11,13],[3,4,6,8,9,11,12],[3,4,6,9,10,12,14],[3,5,6,7,8,9,13],[3,5,8,11,12,13,14],[4,5,6,7,10,11,14]]; G[9124]:=Group([(1,9)(3,10)(4,8)(6,13)(7,12)]); # Design 9125: autom. group order 2, simple, residual B[9125]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,6,9,10,11,14],[1,3,5,9,10,11,13],[1,3,7,8,10,12,14],[1,4,5,6,10,12,13],[1,4,7,8,9,12,13],[1,4,7,8,10,11,14],[1,5,6,8,12,13,14],[1,6,7,9,11,13,14],[2,3,6,7,8,11,13],[2,3,7,10,12,13,14],[2,4,5,8,9,13,14],[2,4,5,10,11,12,14],[2,4,6,7,9,12,14],[2,5,7,8,9,10,13],[2,6,8,10,11,12,13],[3,4,5,7,11,13,14],[3,4,6,8,9,11,12],[3,4,6,9,10,13,14],[3,5,6,7,9,10,12],[3,5,8,9,11,12,14],[4,5,6,7,8,10,11]]; G[9125]:=Group([(2,13)(3,12)(7,10)]); # Design 9126: autom. group order 2, simple, residual B[9126]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,6,7,9,11,14],[1,3,5,7,9,11,13],[1,3,7,8,10,12,14],[1,4,5,6,10,12,13],[1,4,7,8,9,12,13],[1,4,7,8,10,11,14],[1,5,6,8,12,13,14],[1,6,9,10,11,13,14],[2,3,6,8,10,11,13],[2,3,7,10,12,13,14],[2,4,5,7,11,12,14],[2,4,5,8,9,13,14],[2,4,6,9,10,12,14],[2,5,7,8,9,10,13],[2,6,7,8,11,12,13],[3,4,5,10,11,13,14],[3,4,6,7,9,13,14],[3,4,6,8,9,11,12],[3,5,6,7,9,10,12],[3,5,8,9,11,12,14],[4,5,6,7,8,10,11]]; G[9126]:=Group([(2,13)(3,12)(7,10)]); # Design 9127: autom. group order 2, simple, residual B[9127]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,6,7,9,11,14],[1,3,5,7,9,11,13],[1,3,7,8,10,12,14],[1,4,5,6,10,12,13],[1,4,7,8,9,12,13],[1,4,7,8,10,11,14],[1,5,6,8,12,13,14],[1,6,9,10,11,13,14],[2,3,6,8,10,11,13],[2,3,7,10,12,13,14],[2,4,5,8,9,13,14],[2,4,5,10,11,12,14],[2,4,6,7,9,12,14],[2,5,7,8,9,10,13],[2,6,7,8,11,12,13],[3,4,5,7,11,13,14],[3,4,6,8,9,11,12],[3,4,6,9,10,13,14],[3,5,6,7,9,10,12],[3,5,8,9,11,12,14],[4,5,6,7,8,10,11]]; G[9127]:=Group([(2,13)(3,12)(7,10)]); # Design 9128: autom. group order 2, simple, residual B[9128]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,11,12,14],[1,2,6,7,9,11,13],[1,3,5,7,9,10,11],[1,3,7,8,10,12,13],[1,4,5,6,10,13,14],[1,4,7,8,9,12,14],[1,4,8,10,11,13,14],[1,5,6,8,10,11,12],[1,6,7,9,12,13,14],[2,3,6,10,12,13,14],[2,3,7,10,11,12,14],[2,4,5,7,8,12,14],[2,4,5,9,10,12,13],[2,4,6,7,8,11,13],[2,5,7,8,9,10,13],[2,6,8,9,10,11,14],[3,4,5,9,11,13,14],[3,4,6,7,9,10,14],[3,4,6,8,9,11,12],[3,5,6,8,9,12,13],[3,5,7,8,11,13,14],[4,5,6,7,10,11,12]]; G[9128]:=Group([(1,9)(3,10)(4,8)(6,13)(12,14)]); # Design 9129: autom. group order 2, simple, residual B[9129]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,11,12,14],[1,2,6,7,9,11,13],[1,3,5,7,9,10,11],[1,3,7,8,10,12,13],[1,4,5,6,10,13,14],[1,4,7,8,9,12,14],[1,4,8,10,11,13,14],[1,5,6,8,10,11,12],[1,6,7,9,12,13,14],[2,3,6,10,12,13,14],[2,3,7,8,11,13,14],[2,4,5,7,8,12,14],[2,4,5,9,10,12,13],[2,4,6,7,10,11,12],[2,5,7,8,9,10,13],[2,6,8,9,10,11,14],[3,4,5,9,11,13,14],[3,4,6,7,9,10,14],[3,4,6,8,9,11,12],[3,5,6,8,9,12,13],[3,5,7,10,11,12,14],[4,5,6,7,8,11,13]]; G[9129]:=Group([(1,9)(3,10)(4,8)(6,13)(12,14)]); # Design 9130: autom. group order 2, simple, residual B[9130]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,11,12,14],[1,2,6,7,9,11,14],[1,3,5,9,10,11,13],[1,3,7,8,10,12,14],[1,4,5,6,8,12,13],[1,4,7,8,10,11,14],[1,4,7,9,12,13,14],[1,5,6,7,10,12,13],[1,6,8,9,10,11,13],[2,3,6,7,9,10,13],[2,3,7,8,11,12,13],[2,4,5,7,9,10,12],[2,4,5,10,11,13,14],[2,4,6,8,10,11,12],[2,5,7,8,10,13,14],[2,6,8,9,12,13,14],[3,4,5,8,9,13,14],[3,4,6,7,11,13,14],[3,4,6,9,10,12,14],[3,5,6,10,11,12,14],[3,5,7,8,9,11,12],[4,5,6,7,8,9,11]]; G[9130]:=Group([(2,13)(3,12)(7,8)(10,14)]); # Design 9131: autom. group order 2, simple, residual B[9131]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,11,12,14],[1,2,6,7,9,11,14],[1,3,5,9,10,11,13],[1,3,7,8,10,12,14],[1,4,5,6,8,12,13],[1,4,7,8,10,11,14],[1,4,7,9,12,13,14],[1,5,6,7,10,12,13],[1,6,8,9,10,11,13],[2,3,6,7,9,10,13],[2,3,7,8,11,12,13],[2,4,5,8,9,10,12],[2,4,5,10,11,13,14],[2,4,6,7,10,11,12],[2,5,7,8,10,13,14],[2,6,8,9,12,13,14],[3,4,5,7,9,13,14],[3,4,6,8,11,13,14],[3,4,6,9,10,12,14],[3,5,6,10,11,12,14],[3,5,7,8,9,11,12],[4,5,6,7,8,9,11]]; G[9131]:=Group([(2,13)(3,12)(7,8)(10,14)]); # Design 9132: autom. group order 2, simple, residual B[9132]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,11,12,14],[1,2,6,7,9,11,14],[1,3,5,9,10,11,13],[1,3,7,8,10,12,14],[1,4,5,6,8,12,13],[1,4,7,8,10,11,14],[1,4,7,9,12,13,14],[1,5,6,7,10,12,13],[1,6,8,9,10,11,13],[2,3,6,7,10,11,13],[2,3,7,8,9,12,13],[2,4,5,8,10,11,12],[2,4,5,9,10,13,14],[2,4,6,7,9,10,12],[2,5,7,8,10,13,14],[2,6,8,11,12,13,14],[3,4,5,7,11,13,14],[3,4,6,8,9,13,14],[3,4,6,10,11,12,14],[3,5,6,9,10,12,14],[3,5,7,8,9,11,12],[4,5,6,7,8,9,11]]; G[9132]:=Group([(2,13)(3,12)(7,8)(10,14)]); # Design 9133: autom. group order 2, simple, residual B[9133]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,9,12,13,14],[1,2,6,7,10,12,14],[1,3,5,9,10,13,14],[1,3,7,8,10,12,13],[1,4,5,6,8,10,14],[1,4,7,8,9,11,12],[1,4,7,10,11,13,14],[1,5,6,7,9,11,13],[1,6,8,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,11,13,14],[2,4,5,8,12,13,14],[2,4,5,9,10,11,12],[2,4,6,7,9,10,13],[2,5,7,8,10,11,14],[2,6,8,9,10,11,13],[3,4,5,7,9,11,14],[3,4,6,8,9,13,14],[3,4,6,10,11,12,14],[3,5,6,10,11,12,13],[3,5,7,8,9,10,12],[4,5,6,7,8,12,13]]; G[9133]:=Group([(1,9)(3,10)(5,13)]); # Design 9134: autom. group order 2, simple B[9134]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,11,12,14],[1,2,6,7,11,13,14],[1,3,5,10,11,12,13],[1,3,7,9,10,11,14],[1,4,5,7,9,10,13],[1,4,6,8,9,12,13],[1,4,6,8,10,11,14],[1,5,6,7,8,9,12],[1,7,8,10,12,13,14],[2,3,6,7,9,10,13],[2,3,8,9,12,13,14],[2,4,5,7,10,12,14],[2,4,5,8,10,13,14],[2,4,6,9,10,11,12],[2,5,7,8,9,11,13],[2,6,7,8,10,11,12],[3,4,5,7,8,11,12],[3,4,6,7,12,13,14],[3,4,7,8,9,11,14],[3,5,6,8,10,11,13],[3,5,6,9,10,12,14],[4,5,6,9,11,13,14]]; G[9134]:=Group([(1,10)(2,6)(3,11)(4,8)(5,12)(9,14)]); # Design 9135: autom. group order 2, simple B[9135]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,14],[1,2,6,9,11,12,13],[1,3,5,7,9,10,12],[1,3,8,9,12,13,14],[1,4,5,7,12,13,14],[1,4,6,7,8,10,13],[1,4,6,9,10,11,14],[1,5,6,8,10,11,13],[1,7,8,10,11,12,14],[2,3,6,7,10,11,12],[2,3,7,8,10,13,14],[2,4,5,8,10,11,12],[2,4,5,10,12,13,14],[2,4,7,8,9,11,14],[2,5,6,9,10,13,14],[2,6,7,8,9,12,13],[3,4,5,8,9,11,13],[3,4,6,7,11,13,14],[3,4,6,9,10,12,14],[3,5,6,8,11,12,14],[3,5,7,9,10,11,13],[4,5,6,7,8,9,12]]; G[9135]:=Group([(1,11)(2,13)(6,9)(7,8)(10,14)]); # Design 9136: autom. group order 2, simple, residual B[9136]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,11,12,13],[1,2,6,10,11,12,14],[1,3,5,7,9,10,13],[1,3,8,10,11,13,14],[1,4,5,7,9,11,14],[1,4,6,7,8,11,13],[1,4,6,9,10,12,14],[1,5,6,7,8,10,12],[1,7,8,9,12,13,14],[2,3,6,7,12,13,14],[2,3,7,8,9,11,14],[2,4,5,7,10,13,14],[2,4,5,8,9,12,14],[2,4,7,8,10,12,13],[2,5,6,9,10,11,13],[2,6,7,8,9,10,11],[3,4,5,8,10,11,12],[3,4,6,7,9,11,12],[3,4,6,9,10,13,14],[3,5,6,8,9,12,13],[3,5,7,10,11,12,14],[4,5,6,8,11,13,14]]; G[9136]:=Group([(1,12)(2,11)(6,10)(7,8)]); # Design 9137: autom. group order 2, simple, residual B[9137]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,11,12,14],[1,2,6,10,11,12,13],[1,3,5,7,9,10,13],[1,3,8,10,11,13,14],[1,4,5,7,11,13,14],[1,4,6,7,8,9,11],[1,4,6,9,10,12,14],[1,5,6,7,8,10,12],[1,7,8,9,12,13,14],[2,3,6,7,9,12,13],[2,3,7,8,9,11,14],[2,4,5,7,10,13,14],[2,4,5,8,9,12,13],[2,4,7,8,10,12,14],[2,5,6,9,10,11,14],[2,6,7,8,10,11,13],[3,4,5,8,10,11,12],[3,4,6,7,11,12,14],[3,4,6,9,10,13,14],[3,5,6,8,12,13,14],[3,5,7,9,10,11,12],[4,5,6,8,9,11,13]]; G[9137]:=Group([(1,12)(2,11)(6,10)(7,8)(9,14)]); # Design 9138: autom. group order 2, simple, residual B[9138]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,11,12,14],[1,2,6,10,11,12,13],[1,3,5,7,9,10,13],[1,3,8,10,11,13,14],[1,4,5,7,8,12,13],[1,4,6,7,8,9,11],[1,4,6,9,10,12,14],[1,5,6,7,10,11,14],[1,7,8,9,12,13,14],[2,3,6,7,9,12,13],[2,3,7,8,9,11,14],[2,4,5,7,10,13,14],[2,4,5,9,11,13,14],[2,4,7,8,10,12,14],[2,5,6,8,9,10,12],[2,6,7,8,10,11,13],[3,4,5,8,10,11,12],[3,4,6,7,11,12,14],[3,4,6,9,10,13,14],[3,5,6,8,12,13,14],[3,5,7,9,10,11,12],[4,5,6,8,9,11,13]]; G[9138]:=Group([(1,12)(2,11)(6,10)(7,8)(9,14)]); # Design 9139: autom. group order 2, simple B[9139]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,6,10,11,12,14],[1,3,5,7,10,11,14],[1,3,7,9,12,13,14],[1,4,5,9,10,13,14],[1,4,6,7,8,11,13],[1,4,6,8,12,13,14],[1,5,8,9,10,11,13],[1,6,7,8,9,10,12],[2,3,6,9,10,12,13],[2,3,8,10,11,13,14],[2,4,5,7,10,12,13],[2,4,5,8,9,12,14],[2,4,7,8,9,11,14],[2,5,6,7,8,10,13],[2,6,7,9,11,13,14],[3,4,5,6,9,11,13],[3,4,6,7,9,10,14],[3,4,7,8,10,11,12],[3,5,6,8,9,11,12],[3,5,7,8,12,13,14],[4,5,6,10,11,12,14]]; G[9139]:=Group([(2,9)(3,10)(4,8)(6,13)(7,11)]); # Design 9140: autom. group order 2, simple, residual B[9140]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,6,10,11,12,14],[1,3,5,7,10,11,14],[1,3,7,9,12,13,14],[1,4,5,9,10,13,14],[1,4,6,7,8,11,13],[1,4,6,8,12,13,14],[1,5,8,9,10,11,13],[1,6,7,8,9,10,12],[2,3,6,9,10,13,14],[2,3,8,10,11,12,13],[2,4,5,7,10,12,13],[2,4,5,8,9,12,14],[2,4,7,8,9,11,14],[2,5,6,7,8,10,13],[2,6,7,9,11,13,14],[3,4,5,6,9,11,13],[3,4,6,7,9,10,12],[3,4,7,8,10,11,14],[3,5,6,8,9,11,12],[3,5,7,8,12,13,14],[4,5,6,10,11,12,14]]; G[9140]:=Group([(2,9)(3,10)(4,8)(6,13)(7,11)]); # Design 9141: autom. group order 2, simple B[9141]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,14],[1,2,6,10,11,12,14],[1,3,5,7,10,11,12],[1,3,7,9,12,13,14],[1,4,5,9,10,13,14],[1,4,6,7,8,11,13],[1,4,6,8,12,13,14],[1,5,8,9,10,11,13],[1,6,7,8,9,10,12],[2,3,6,9,10,12,13],[2,3,8,10,11,13,14],[2,4,5,7,10,12,13],[2,4,5,8,9,12,14],[2,4,7,8,9,11,12],[2,5,6,7,8,10,13],[2,6,7,9,11,13,14],[3,4,5,6,9,11,13],[3,4,6,7,9,10,14],[3,4,7,8,10,11,14],[3,5,6,8,9,11,12],[3,5,7,8,12,13,14],[4,5,6,10,11,12,14]]; G[9141]:=Group([(2,9)(3,10)(4,8)(6,13)(7,11)]); # Design 9142: autom. group order 2, simple, residual B[9142]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,14],[1,2,6,9,12,13,14],[1,3,5,7,8,12,13],[1,3,9,10,11,12,14],[1,4,5,7,10,11,13],[1,4,6,7,10,12,14],[1,4,6,8,9,11,13],[1,5,8,10,11,13,14],[1,6,7,8,9,10,12],[2,3,6,10,11,13,14],[2,3,7,8,10,11,12],[2,4,5,8,10,12,14],[2,4,5,9,10,12,13],[2,4,7,8,9,13,14],[2,5,6,7,9,10,11],[2,6,7,8,11,12,13],[3,4,5,6,9,11,12],[3,4,6,7,10,13,14],[3,4,7,8,9,11,14],[3,5,6,8,9,10,13],[3,5,7,9,12,13,14],[4,5,6,8,11,12,14]]; G[9142]:=Group([(2,11)(3,13)(6,10)]); # Design 9143: autom. group order 2, simple, residual B[9143]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,6,9,11,13,14],[1,3,5,10,11,12,14],[1,3,7,8,12,13,14],[1,4,5,7,10,13,14],[1,4,6,7,8,11,13],[1,4,6,9,10,12,14],[1,5,8,9,10,11,13],[1,6,7,8,9,10,12],[2,3,6,8,10,12,13],[2,3,7,9,10,11,13],[2,4,5,7,8,9,12],[2,4,5,8,10,11,14],[2,4,7,10,12,13,14],[2,5,6,9,12,13,14],[2,6,7,8,10,11,14],[3,4,5,6,9,10,13],[3,4,6,7,9,11,14],[3,4,8,9,11,12,14],[3,5,6,7,10,11,12],[3,5,7,8,9,13,14],[4,5,6,8,11,12,13]]; G[9143]:=Group([(2,9)(3,10)(4,8)(5,12)]); # Design 9144: autom. group order 2, simple B[9144]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,10,11],[1,2,6,11,12,13,14],[1,3,5,9,10,12,13],[1,3,7,8,9,12,14],[1,4,5,7,8,11,13],[1,4,6,7,10,12,14],[1,4,6,8,9,13,14],[1,5,8,10,11,12,14],[1,6,7,9,10,11,13],[2,3,6,8,10,11,13],[2,3,7,9,11,12,14],[2,4,5,7,9,13,14],[2,4,5,10,12,13,14],[2,4,8,9,10,11,14],[2,5,6,7,8,10,12],[2,6,7,8,9,12,13],[3,4,5,6,9,11,12],[3,4,6,7,10,11,14],[3,4,7,8,10,12,13],[3,5,6,9,10,13,14],[3,5,7,8,11,13,14],[4,5,6,8,9,11,12]]; G[9144]:=Group([(1,14)(2,7)(4,11)(5,9)(6,12)(10,13)]); # Design 9145: autom. group order 2, simple, residual B[9145]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,6,10,11,13,14],[1,3,5,9,10,12,13],[1,3,7,8,9,13,14],[1,4,5,7,8,10,11],[1,4,6,7,12,13,14],[1,4,6,8,9,12,14],[1,5,8,10,11,13,14],[1,6,7,9,10,11,12],[2,3,6,8,10,11,12],[2,3,7,9,11,13,14],[2,4,5,7,9,10,14],[2,4,5,10,12,13,14],[2,4,8,9,11,12,14],[2,5,6,7,8,12,13],[2,6,7,8,9,10,13],[3,4,5,6,9,11,13],[3,4,6,7,10,11,14],[3,4,7,8,10,12,13],[3,5,6,9,10,12,14],[3,5,7,8,11,12,14],[4,5,6,8,9,11,13]]; G[9145]:=Group([(1,14)(2,7)(4,11)(5,9)(6,13)(10,12)]); # Design 9146: autom. group order 2, simple B[9146]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,6,8,10,11,13],[1,3,5,9,10,12,13],[1,3,7,9,11,13,14],[1,4,5,8,9,11,14],[1,4,6,7,10,12,14],[1,4,6,9,10,12,14],[1,5,7,8,10,13,14],[1,6,7,8,11,12,13],[2,3,6,7,10,11,14],[2,3,7,8,9,12,14],[2,4,5,7,12,13,14],[2,4,5,10,11,13,14],[2,4,7,8,9,10,13],[2,5,6,9,10,11,12],[2,6,8,9,12,13,14],[3,4,5,6,8,12,13],[3,4,6,9,11,13,14],[3,4,7,8,10,11,12],[3,5,6,7,9,10,13],[3,5,8,10,11,12,14],[4,5,6,7,8,9,11]]; G[9146]:=Group([(1,6)(2,8)(3,13)(4,12)(5,11)(10,14)]); # Design 9147: autom. group order 2, simple, residual B[9147]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,11,12,14],[1,2,6,7,9,11,13],[1,3,5,7,10,11,12],[1,3,7,8,12,13,14],[1,4,5,7,10,13,14],[1,4,6,8,11,13,14],[1,4,6,9,10,12,14],[1,5,8,9,10,11,13],[1,6,7,8,9,10,12],[2,3,6,8,10,12,13],[2,3,9,10,11,13,14],[2,4,5,7,8,10,11],[2,4,5,8,9,12,14],[2,4,7,10,12,13,14],[2,5,6,7,9,12,13],[2,6,7,8,10,11,14],[3,4,5,6,9,10,13],[3,4,6,7,9,11,14],[3,4,7,8,9,11,12],[3,5,6,10,11,12,14],[3,5,7,8,9,13,14],[4,5,6,8,11,12,13]]; G[9147]:=Group([(2,9)(3,10)(4,8)(5,12)]); # Design 9148: autom. group order 2, simple, residual B[9148]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,11,12,14],[1,2,6,7,10,11,12],[1,3,5,7,10,11,14],[1,3,7,9,12,13,14],[1,4,5,9,10,11,13],[1,4,6,7,8,12,13],[1,4,6,8,11,13,14],[1,5,7,8,9,10,13],[1,6,8,9,10,12,14],[2,3,6,7,9,10,13],[2,3,8,10,12,13,14],[2,4,5,7,8,9,12],[2,4,5,10,12,13,14],[2,4,7,8,9,11,14],[2,5,6,8,10,11,13],[2,6,7,9,11,13,14],[3,4,5,6,9,13,14],[3,4,6,9,10,11,12],[3,4,7,8,10,11,14],[3,5,6,8,9,11,12],[3,5,7,8,11,12,13],[4,5,6,7,10,12,14]]; G[9148]:=Group([(2,9)(3,10)(4,8)(6,13)(11,14)]); # Design 9149: autom. group order 2, simple, residual B[9149]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,11,12,14],[1,2,6,7,9,11,13],[1,3,5,7,10,11,12],[1,3,7,8,12,13,14],[1,4,5,9,10,13,14],[1,4,6,7,10,12,14],[1,4,6,8,11,13,14],[1,5,7,8,9,10,13],[1,6,8,9,10,11,12],[2,3,6,7,9,10,13],[2,3,8,10,11,13,14],[2,4,5,7,10,11,14],[2,4,5,8,10,12,13],[2,4,7,8,9,11,12],[2,5,6,9,12,13,14],[2,6,7,8,10,12,14],[3,4,5,6,8,9,12],[3,4,6,9,10,11,14],[3,4,7,9,12,13,14],[3,5,6,10,11,12,13],[3,5,7,8,9,11,14],[4,5,6,7,8,11,13]]; G[9149]:=Group([(2,9)(3,10)(4,8)(6,13)]); # Design 9150: autom. group order 2, simple, residual B[9150]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,8,9,12,14],[1,2,6,10,11,13,14],[1,3,5,7,9,13,14],[1,3,7,9,10,11,14],[1,4,5,8,10,12,13],[1,4,6,7,8,10,14],[1,4,6,7,9,12,13],[1,5,7,10,11,12,13],[1,6,8,9,11,12,14],[2,3,6,10,12,13,14],[2,3,7,8,12,13,14],[2,4,5,7,10,11,14],[2,4,5,9,10,12,14],[2,4,7,8,9,11,13],[2,5,6,7,9,11,12],[2,6,7,8,9,10,13],[3,4,5,6,9,13,14],[3,4,6,9,10,11,12],[3,4,7,8,11,12,14],[3,5,6,7,8,10,12],[3,5,8,9,10,11,13],[4,5,6,8,11,13,14]]; G[9150]:=Group([(2,13)(3,12)(6,10)(7,8)]); # Design 9151: autom. group order 2, simple B[9151]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,6,7,9,13,14],[1,3,5,10,11,13,14],[1,3,7,8,11,12,14],[1,4,5,7,10,12,13],[1,4,6,8,12,13,14],[1,4,6,9,10,11,13],[1,5,8,9,10,12,14],[1,6,7,8,9,10,11],[2,3,7,8,10,11,13],[2,3,9,10,12,13,14],[2,4,5,6,10,11,14],[2,4,5,8,9,11,12],[2,4,7,8,9,13,14],[2,5,6,8,10,12,13],[2,6,7,10,11,12,14],[3,4,5,7,9,10,14],[3,4,6,7,8,10,12],[3,4,6,9,11,12,14],[3,5,6,7,9,12,13],[3,5,6,8,9,11,13],[4,5,7,8,11,13,14]]; G[9151]:=Group([(2,9)(3,10)(4,8)(5,11)(13,14)]); # Design 9152: autom. group order 2, simple, residual B[9152]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,14],[1,2,6,8,10,11,12],[1,3,5,9,11,12,13],[1,3,7,10,11,13,14],[1,4,5,7,8,10,13],[1,4,6,7,9,12,13],[1,4,6,9,10,12,14],[1,5,8,9,10,13,14],[1,6,7,8,11,12,14],[2,3,7,8,9,10,12],[2,3,7,10,12,13,14],[2,4,5,6,10,11,13],[2,4,5,7,9,12,14],[2,4,8,9,11,13,14],[2,5,6,10,12,13,14],[2,6,7,8,9,11,13],[3,4,5,8,11,12,14],[3,4,6,7,8,13,14],[3,4,6,9,10,11,14],[3,5,6,7,9,10,11],[3,5,6,8,9,12,13],[4,5,7,8,10,11,12]]; G[9152]:=Group([(1,11)(3,13)(5,9)(6,8)(7,14)]); # Design 9153: autom. group order 2, simple, residual B[9153]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,14],[1,2,6,7,8,11,12],[1,3,5,9,11,12,13],[1,3,7,10,11,13,14],[1,4,5,7,8,10,13],[1,4,6,7,9,10,12],[1,4,6,9,12,13,14],[1,5,7,8,9,13,14],[1,6,8,10,11,12,14],[2,3,7,8,9,12,14],[2,3,7,10,12,13,14],[2,4,5,6,11,13,14],[2,4,5,9,10,12,14],[2,4,7,8,9,11,13],[2,5,6,7,10,12,13],[2,6,8,9,10,11,13],[3,4,5,8,10,11,12],[3,4,6,7,9,11,14],[3,4,6,8,10,13,14],[3,5,6,7,9,10,11],[3,5,6,8,9,12,13],[4,5,7,8,11,12,14]]; G[9153]:=Group([(1,11)(3,13)(5,9)(6,8)(10,14)]); # Design 9154: autom. group order 2, simple B[9154]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,6,7,8,10,13],[1,3,5,10,11,13,14],[1,3,7,9,12,13,14],[1,4,5,7,9,10,14],[1,4,6,9,10,11,13],[1,4,7,8,12,13,14],[1,5,6,8,11,12,14],[1,6,8,9,10,11,12],[2,3,6,9,11,13,14],[2,3,7,8,10,11,12],[2,4,5,6,9,12,13],[2,4,5,10,11,12,14],[2,4,7,8,9,11,14],[2,5,8,9,10,13,14],[2,6,7,10,12,13,14],[3,4,5,8,10,12,13],[3,4,6,7,10,11,14],[3,4,6,8,9,12,14],[3,5,6,7,9,10,12],[3,5,7,8,9,11,13],[4,5,6,7,8,11,13]]; G[9154]:=Group([(2,10)(3,9)(5,11)(7,13)(12,14)]); # Design 9155: autom. group order 2, simple, residual B[9155]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,6,7,8,11,13],[1,3,5,10,11,13,14],[1,3,7,10,12,13,14],[1,4,5,7,9,10,14],[1,4,6,9,10,11,12],[1,4,7,8,12,13,14],[1,5,6,8,9,12,14],[1,6,8,9,10,11,13],[2,3,6,9,10,13,14],[2,3,7,8,9,10,12],[2,4,5,6,10,12,13],[2,4,5,9,11,13,14],[2,4,7,8,10,11,14],[2,5,8,10,11,12,14],[2,6,7,9,12,13,14],[3,4,5,8,9,12,13],[3,4,6,7,9,11,14],[3,4,6,8,11,12,14],[3,5,6,7,10,11,12],[3,5,7,8,9,11,13],[4,5,6,7,8,10,13]]; G[9155]:=Group([(2,9)(3,10)(5,11)(7,12)(13,14)]); # Design 9156: autom. group order 2, simple B[9156]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,6,7,10,11,14],[1,3,5,9,10,12,14],[1,3,8,10,11,13,14],[1,4,5,7,12,13,14],[1,4,6,8,10,12,13],[1,4,7,8,9,11,14],[1,5,6,8,9,11,13],[1,6,7,9,10,12,13],[2,3,6,9,12,13,14],[2,3,7,8,11,12,13],[2,4,5,6,10,11,13],[2,4,5,9,10,13,14],[2,4,7,8,9,13,14],[2,5,8,9,10,11,12],[2,6,7,8,10,12,14],[3,4,5,7,8,10,12],[3,4,6,7,9,10,11],[3,4,6,9,11,12,14],[3,5,6,7,8,9,13],[3,5,7,10,11,13,14],[4,5,6,8,11,12,14]]; G[9156]:=Group([(2,13)(3,12)(5,10)(7,8)(9,14)]); # Design 9157: autom. group order 2, simple, residual B[9157]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,6,7,10,11,14],[1,3,5,9,10,12,14],[1,3,8,10,11,13,14],[1,4,5,7,12,13,14],[1,4,6,8,10,12,13],[1,4,7,8,9,11,14],[1,5,6,8,9,11,13],[1,6,7,9,10,12,13],[2,3,6,9,12,13,14],[2,3,7,8,11,12,13],[2,4,5,6,10,11,13],[2,4,5,9,10,13,14],[2,4,7,8,10,12,14],[2,5,8,9,10,11,12],[2,6,7,8,9,13,14],[3,4,5,7,8,9,13],[3,4,6,7,9,10,11],[3,4,6,9,11,12,14],[3,5,6,7,8,10,12],[3,5,7,10,11,13,14],[4,5,6,8,11,12,14]]; G[9157]:=Group([(2,13)(3,12)(5,10)(7,8)(9,14)]); # Design 9158: autom. group order 2, simple, residual B[9158]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,6,9,10,13,14],[1,3,5,7,9,10,13],[1,3,9,11,12,13,14],[1,4,5,10,11,12,14],[1,4,6,7,8,9,11],[1,4,7,8,10,12,14],[1,5,6,8,10,12,13],[1,6,7,8,11,13,14],[2,3,6,7,10,11,12],[2,3,7,8,12,13,14],[2,4,5,6,11,13,14],[2,4,5,8,9,12,14],[2,4,7,8,10,11,13],[2,5,8,9,10,11,13],[2,6,7,9,10,12,14],[3,4,5,7,10,13,14],[3,4,6,8,9,12,13],[3,4,6,9,10,11,14],[3,5,6,8,10,11,12],[3,5,7,8,9,11,14],[4,5,6,7,9,12,13]]; G[9158]:=Group([(1,13)(3,11)(5,8)(6,10)(9,14)]); # Design 9159: autom. group order 2, simple, residual B[9159]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,8,11,12],[1,2,6,9,10,11,12],[1,3,5,7,9,10,13],[1,3,8,9,11,13,14],[1,4,5,10,11,13,14],[1,4,6,9,10,12,14],[1,4,7,8,12,13,14],[1,5,6,7,9,11,14],[1,6,7,8,10,12,13],[2,3,6,10,11,13,14],[2,3,7,9,12,13,14],[2,4,5,6,12,13,14],[2,4,5,7,9,10,13],[2,4,7,8,9,11,14],[2,5,8,9,10,12,14],[2,6,7,8,10,11,13],[3,4,5,8,10,11,12],[3,4,6,7,8,10,14],[3,4,6,7,9,11,12],[3,5,6,8,9,12,13],[3,5,7,10,11,12,14],[4,5,6,8,9,11,13]]; G[9159]:=Group([(1,12)(2,11)(6,10)(7,8)]); # Design 9160: autom. group order 2, simple, residual B[9160]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,6,8,9,13,14],[1,3,5,10,11,13,14],[1,3,7,10,12,13,14],[1,4,5,7,9,10,14],[1,4,6,9,10,11,12],[1,4,7,8,12,13,14],[1,5,6,7,8,11,12],[1,6,8,9,10,11,13],[2,3,6,7,10,11,13],[2,3,7,8,9,10,12],[2,4,5,6,10,12,13],[2,4,5,9,11,13,14],[2,4,7,8,10,11,14],[2,5,8,10,11,12,14],[2,6,7,9,12,13,14],[3,4,5,8,9,12,13],[3,4,6,7,9,11,14],[3,4,6,8,11,12,14],[3,5,6,9,10,12,14],[3,5,7,8,9,11,13],[4,5,6,7,8,10,13]]; G[9160]:=Group([(2,9)(3,10)(5,11)(7,12)(13,14)]); # Design 9161: autom. group order 2, simple, residual B[9161]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,6,8,11,13,14],[1,3,5,10,11,13,14],[1,3,7,9,12,13,14],[1,4,5,7,9,10,14],[1,4,6,9,10,11,13],[1,4,7,8,12,13,14],[1,5,6,7,8,10,12],[1,6,8,9,10,11,12],[2,3,6,7,9,10,13],[2,3,7,8,10,11,12],[2,4,5,6,9,12,13],[2,4,5,10,11,12,14],[2,4,7,8,9,11,14],[2,5,8,9,10,13,14],[2,6,7,10,12,13,14],[3,4,5,8,10,12,13],[3,4,6,7,10,11,14],[3,4,6,8,9,12,14],[3,5,6,9,11,12,14],[3,5,7,8,9,11,13],[4,5,6,7,8,11,13]]; G[9161]:=Group([(2,10)(3,9)(5,11)(7,13)(12,14)]); # Design 9162: autom. group order 2, simple, residual B[9162]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,14],[1,2,6,10,12,13,14],[1,3,5,9,10,11,12],[1,3,7,8,9,12,13],[1,4,5,8,12,13,14],[1,4,6,7,8,10,11],[1,4,7,10,11,13,14],[1,5,6,8,9,11,13],[1,6,7,9,10,12,14],[2,3,6,7,9,10,13],[2,3,8,10,11,13,14],[2,4,5,6,10,11,12],[2,4,5,7,9,13,14],[2,4,7,8,9,11,12],[2,5,7,8,10,12,13],[2,6,8,9,11,12,14],[3,4,5,9,10,12,14],[3,4,6,7,8,12,14],[3,4,6,9,11,13,14],[3,5,6,7,11,12,13],[3,5,7,8,10,11,14],[4,5,6,8,9,10,13]]; G[9162]:=Group([(1,11)(3,12)(5,9)(6,8)]); # Design 9163: autom. group order 2, simple B[9163]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,6,9,11,13,14],[1,3,5,9,10,12,14],[1,3,8,10,11,13,14],[1,4,5,7,12,13,14],[1,4,6,8,10,12,13],[1,4,7,8,9,11,14],[1,5,6,7,8,10,11],[1,6,7,9,10,12,13],[2,3,6,7,10,12,14],[2,3,7,8,11,12,13],[2,4,5,6,10,11,13],[2,4,5,9,10,13,14],[2,4,7,8,10,12,14],[2,5,8,9,10,11,12],[2,6,7,8,9,13,14],[3,4,5,7,8,9,13],[3,4,6,7,9,10,11],[3,4,6,9,11,12,14],[3,5,6,8,9,12,13],[3,5,7,10,11,13,14],[4,5,6,8,11,12,14]]; G[9163]:=Group([(2,13)(3,12)(5,10)(7,8)(9,14)]); # Design 9164: autom. group order 2, simple B[9164]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,6,7,9,11,14],[1,3,5,7,9,11,13],[1,3,7,8,10,12,14],[1,4,5,7,8,12,13],[1,4,6,9,10,12,13],[1,4,7,8,10,11,14],[1,5,6,10,11,13,14],[1,6,8,9,12,13,14],[2,3,6,7,10,12,13],[2,3,8,11,12,13,14],[2,4,5,6,10,12,14],[2,4,5,8,9,13,14],[2,4,7,9,11,12,14],[2,5,7,8,9,10,13],[2,6,7,8,10,11,13],[3,4,5,10,11,13,14],[3,4,6,7,9,13,14],[3,4,6,8,9,10,11],[3,5,6,8,9,11,12],[3,5,7,9,10,12,14],[4,5,6,7,8,11,12]]; G[9164]:=Group([(2,13)(3,12)(5,9)(7,10)]); # Design 9165: autom. group order 2, simple, residual B[9165]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,6,7,9,11,14],[1,3,5,7,9,11,13],[1,3,7,8,10,12,14],[1,4,5,7,8,12,13],[1,4,6,9,10,12,13],[1,4,7,8,10,11,14],[1,5,6,10,11,13,14],[1,6,8,9,12,13,14],[2,3,6,7,10,12,13],[2,3,8,11,12,13,14],[2,4,5,6,10,12,14],[2,4,5,8,9,13,14],[2,4,7,10,11,13,14],[2,5,7,8,9,10,13],[2,6,7,8,9,11,12],[3,4,5,9,11,12,14],[3,4,6,7,9,13,14],[3,4,6,8,9,10,11],[3,5,6,8,10,11,13],[3,5,7,9,10,12,14],[4,5,6,7,8,11,12]]; G[9165]:=Group([(2,13)(3,12)(5,9)(7,10)]); # Design 9166: autom. group order 2, simple B[9166]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,11,12,14],[1,2,6,7,8,10,11],[1,3,5,7,10,12,13],[1,3,7,9,11,13,14],[1,4,5,7,9,10,14],[1,4,6,9,10,11,12],[1,4,7,8,11,13,14],[1,5,6,8,12,13,14],[1,6,8,9,10,12,13],[2,3,6,7,9,12,13],[2,3,8,9,10,13,14],[2,4,5,6,9,11,13],[2,4,5,10,12,13,14],[2,4,7,8,9,12,14],[2,5,7,8,10,11,12],[2,6,7,10,11,13,14],[3,4,5,8,10,11,13],[3,4,6,7,10,12,14],[3,4,6,8,11,12,14],[3,5,6,9,10,11,14],[3,5,7,8,9,11,12],[4,5,6,7,8,9,13]]; G[9166]:=Group([(2,10)(3,9)(5,12)(7,11)(13,14)]); # Design 9167: autom. group order 2, simple B[9167]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,11,12,14],[1,2,6,7,8,10,11],[1,3,5,7,10,12,13],[1,3,7,9,11,13,14],[1,4,5,7,9,10,14],[1,4,6,9,10,11,12],[1,4,7,8,11,13,14],[1,5,6,8,12,13,14],[1,6,8,9,10,12,13],[2,3,6,7,9,12,13],[2,3,8,10,11,12,14],[2,4,5,6,9,11,13],[2,4,5,10,12,13,14],[2,4,7,8,9,12,14],[2,5,7,8,9,10,13],[2,6,7,10,11,13,14],[3,4,5,8,10,11,13],[3,4,6,7,10,12,14],[3,4,6,8,9,13,14],[3,5,6,9,10,11,14],[3,5,7,8,9,11,12],[4,5,6,7,8,11,12]]; G[9167]:=Group([(2,10)(3,9)(5,12)(7,11)(13,14)]); # Design 9168: autom. group order 2, simple, residual B[9168]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,11,12,14],[1,2,6,7,8,11,13],[1,3,5,7,10,11,13],[1,3,7,9,12,13,14],[1,4,5,7,9,10,14],[1,4,6,9,10,11,12],[1,4,7,8,12,13,14],[1,5,6,8,10,12,14],[1,6,8,9,10,11,13],[2,3,6,7,9,10,12],[2,3,8,10,11,12,14],[2,4,5,6,9,12,13],[2,4,5,10,11,13,14],[2,4,7,8,9,11,14],[2,5,7,8,9,10,13],[2,6,7,10,12,13,14],[3,4,5,8,10,12,13],[3,4,6,7,10,11,14],[3,4,6,8,9,13,14],[3,5,6,9,11,13,14],[3,5,7,8,9,11,12],[4,5,6,7,8,11,12]]; G[9168]:=Group([(2,10)(3,9)(5,11)(7,12)(13,14)]); # Design 9169: autom. group order 2, simple, residual B[9169]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,6,7,9,11,14],[1,3,5,7,9,11,13],[1,3,7,8,10,12,14],[1,4,5,7,8,12,13],[1,4,6,9,10,12,13],[1,4,7,8,10,11,14],[1,5,6,10,11,13,14],[1,6,8,9,12,13,14],[2,3,6,8,11,12,13],[2,3,7,10,12,13,14],[2,4,5,6,10,12,14],[2,4,5,8,9,13,14],[2,4,7,9,11,12,14],[2,5,7,8,9,10,13],[2,6,7,8,10,11,13],[3,4,5,10,11,13,14],[3,4,6,7,9,13,14],[3,4,6,8,9,10,11],[3,5,6,7,9,10,12],[3,5,8,9,11,12,14],[4,5,6,7,8,11,12]]; G[9169]:=Group([(2,13)(3,12)(5,9)(7,10)]); # Design 9170: autom. group order 2, simple B[9170]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,14],[1,2,6,7,9,10,12],[1,3,5,7,12,13,14],[1,3,7,8,9,11,14],[1,4,5,10,12,13,14],[1,4,6,9,11,12,14],[1,4,7,8,10,11,13],[1,5,6,8,10,11,13],[1,6,7,8,9,12,13],[2,3,6,8,10,12,13],[2,3,7,10,11,13,14],[2,4,5,6,9,11,13],[2,4,5,7,8,11,12],[2,4,7,8,9,13,14],[2,5,8,9,12,13,14],[2,6,7,10,11,12,14],[3,4,5,7,9,10,12],[3,4,6,8,11,12,14],[3,4,6,9,10,13,14],[3,5,6,7,9,11,13],[3,5,8,9,10,11,12],[4,5,6,7,8,10,14]]; G[9170]:=Group([(1,9)(2,10)(6,12)(11,14)]); # Design 9171: autom. group order 2, simple B[9171]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,9,12,13,14],[1,2,6,7,10,12,14],[1,3,5,7,9,10,13],[1,3,8,9,10,12,14],[1,4,5,7,10,11,14],[1,4,6,8,10,13,14],[1,4,7,8,11,12,13],[1,5,6,9,11,13,14],[1,6,7,8,9,11,12],[2,3,6,7,8,13,14],[2,3,7,9,11,12,14],[2,4,5,6,9,10,12],[2,4,5,8,12,13,14],[2,4,7,9,10,11,13],[2,5,7,8,10,11,14],[2,6,8,9,10,11,13],[3,4,5,8,9,11,14],[3,4,6,7,9,13,14],[3,4,6,10,11,12,14],[3,5,6,10,11,12,13],[3,5,7,8,10,12,13],[4,5,6,7,8,9,12]]; G[9171]:=Group([(1,9)(3,10)(5,13)(6,11)]); # Design 9172: autom. group order 2, simple B[9172]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,9,12,13,14],[1,2,6,7,10,12,14],[1,3,5,7,9,10,13],[1,3,8,9,10,12,14],[1,4,5,8,10,11,14],[1,4,6,7,10,13,14],[1,4,7,8,11,12,13],[1,5,6,9,11,13,14],[1,6,7,8,9,11,12],[2,3,6,7,8,13,14],[2,3,7,9,11,12,14],[2,4,5,6,9,10,12],[2,4,5,8,12,13,14],[2,4,7,9,10,11,13],[2,5,7,8,10,11,14],[2,6,8,9,10,11,13],[3,4,5,7,9,11,14],[3,4,6,8,9,13,14],[3,4,6,10,11,12,14],[3,5,6,10,11,12,13],[3,5,7,8,10,12,13],[4,5,6,7,8,9,12]]; G[9172]:=Group([(1,9)(3,10)(5,13)(6,11)]); # Design 9173: autom. group order 2, simple, residual B[9173]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,14],[1,2,6,7,12,13,14],[1,3,5,7,9,11,12],[1,3,8,9,10,12,13],[1,4,5,8,12,13,14],[1,4,6,7,8,10,11],[1,4,7,10,11,13,14],[1,5,6,8,9,11,13],[1,6,7,9,10,12,14],[2,3,6,7,9,10,13],[2,3,7,8,11,13,14],[2,4,5,6,10,11,12],[2,4,5,9,10,13,14],[2,4,7,8,9,11,12],[2,5,7,8,10,12,13],[2,6,8,9,11,12,14],[3,4,5,7,9,12,14],[3,4,6,8,10,12,14],[3,4,6,9,11,13,14],[3,5,6,10,11,12,13],[3,5,7,8,10,11,14],[4,5,6,7,8,9,13]]; G[9173]:=Group([(1,11)(3,12)(5,9)(6,8)]); # Design 9174: autom. group order 2, simple, residual B[9174]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,9,12,13,14],[1,2,6,7,10,12,14],[1,3,5,9,10,13,14],[1,3,7,8,9,10,12],[1,4,5,7,10,11,14],[1,4,6,8,10,13,14],[1,4,7,8,11,12,13],[1,5,6,7,9,11,13],[1,6,8,9,11,12,14],[2,3,6,7,8,13,14],[2,3,7,9,11,12,14],[2,4,5,6,9,10,12],[2,4,5,8,12,13,14],[2,4,7,9,10,11,13],[2,5,7,8,10,11,14],[2,6,8,9,10,11,13],[3,4,5,8,9,11,14],[3,4,6,7,9,13,14],[3,4,6,10,11,12,14],[3,5,6,10,11,12,13],[3,5,7,8,10,12,13],[4,5,6,7,8,9,12]]; G[9174]:=Group([(1,9)(3,10)(5,13)(6,11)]); # Design 9175: autom. group order 2, simple, residual B[9175]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,11,12,14],[1,2,6,7,9,10,11],[1,3,5,9,10,13,14],[1,3,7,8,11,13,14],[1,4,5,7,10,12,13],[1,4,6,8,9,12,13],[1,4,7,8,10,11,14],[1,5,6,8,10,11,12],[1,6,7,9,12,13,14],[2,3,6,7,8,12,13],[2,3,10,11,12,13,14],[2,4,5,6,10,13,14],[2,4,5,7,9,11,13],[2,4,7,8,10,12,14],[2,5,7,8,9,12,14],[2,6,8,9,10,11,13],[3,4,5,8,9,11,12],[3,4,6,7,9,11,14],[3,4,6,9,10,12,14],[3,5,6,7,10,11,12],[3,5,7,8,9,10,13],[4,5,6,8,11,13,14]]; G[9175]:=Group([(2,12)(3,13)(5,9)(7,8)]); # Design 9176: autom. group order 2, simple, residual B[9176]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,9,12,13,14],[1,2,6,7,10,12,14],[1,3,5,9,10,13,14],[1,3,7,8,9,10,12],[1,4,5,8,10,11,14],[1,4,6,7,10,13,14],[1,4,7,8,11,12,13],[1,5,6,7,9,11,13],[1,6,8,9,11,12,14],[2,3,6,7,8,13,14],[2,3,7,9,11,12,14],[2,4,5,6,9,10,12],[2,4,5,8,12,13,14],[2,4,7,9,10,11,13],[2,5,7,8,10,11,14],[2,6,8,9,10,11,13],[3,4,5,7,9,11,14],[3,4,6,8,9,13,14],[3,4,6,10,11,12,14],[3,5,6,10,11,12,13],[3,5,7,8,10,12,13],[4,5,6,7,8,9,12]]; G[9176]:=Group([(1,9)(3,10)(5,13)(6,11)]); # Design 9177: autom. group order 2, simple B[9177]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,11,12,14],[1,2,6,8,10,13,14],[1,3,5,7,10,11,13],[1,3,7,9,12,13,14],[1,4,5,7,9,10,14],[1,4,6,9,10,11,12],[1,4,7,8,12,13,14],[1,5,6,7,8,11,12],[1,6,8,9,10,11,13],[2,3,6,7,9,11,13],[2,3,7,8,9,10,12],[2,4,5,6,9,12,13],[2,4,5,10,11,13,14],[2,4,7,8,9,11,14],[2,5,7,8,10,11,12],[2,6,7,10,12,13,14],[3,4,5,8,10,12,13],[3,4,6,7,10,11,14],[3,4,6,8,11,12,14],[3,5,6,9,10,12,14],[3,5,8,9,11,13,14],[4,5,6,7,8,9,13]]; G[9177]:=Group([(2,10)(3,9)(5,11)(7,12)(13,14)]); # Design 9178: autom. group order 2, simple B[9178]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,10,11],[1,2,6,9,11,12,13],[1,3,5,10,12,13,14],[1,3,8,9,11,12,14],[1,4,5,7,8,12,13],[1,4,6,7,9,11,14],[1,4,7,8,10,13,14],[1,5,6,9,10,13,14],[1,6,7,8,10,11,12],[2,3,6,7,10,12,13],[2,3,7,8,10,11,14],[2,4,5,7,9,12,14],[2,4,5,10,11,12,14],[2,4,6,8,9,10,13],[2,5,6,8,11,13,14],[2,7,8,9,12,13,14],[3,4,5,8,9,11,13],[3,4,6,7,11,13,14],[3,4,6,9,10,12,14],[3,5,6,7,8,9,12],[3,5,7,9,10,11,13],[4,5,6,8,10,11,12]]; G[9178]:=Group([(1,13)(2,11)(6,9)(7,8)(10,14)]); # Design 9179: autom. group order 2, simple, residual B[9179]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,11,12,14],[1,2,6,10,11,12,13],[1,3,5,7,9,10,13],[1,3,8,10,11,13,14],[1,4,5,7,8,12,13],[1,4,6,7,10,11,14],[1,4,7,8,9,12,14],[1,5,6,9,10,12,14],[1,6,7,8,9,11,13],[2,3,6,7,9,12,13],[2,3,7,8,9,11,14],[2,4,5,7,10,13,14],[2,4,5,9,11,13,14],[2,4,6,8,9,10,12],[2,5,6,7,8,10,11],[2,7,8,10,12,13,14],[3,4,5,8,10,11,12],[3,4,6,7,11,12,14],[3,4,6,9,10,13,14],[3,5,6,8,12,13,14],[3,5,7,9,10,11,12],[4,5,6,8,9,11,13]]; G[9179]:=Group([(1,12)(2,11)(6,10)(7,8)(9,14)]); # Design 9180: autom. group order 2, simple B[9180]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,11,12,14],[1,2,6,10,11,12,13],[1,3,5,7,9,10,13],[1,3,8,10,11,13,14],[1,4,5,7,8,12,13],[1,4,6,9,10,12,14],[1,4,7,8,9,12,14],[1,5,6,7,10,11,14],[1,6,7,8,9,11,13],[2,3,6,7,9,12,13],[2,3,7,8,9,11,14],[2,4,5,7,10,13,14],[2,4,5,9,11,13,14],[2,4,6,7,8,10,11],[2,5,6,8,9,10,12],[2,7,8,10,12,13,14],[3,4,5,8,10,11,12],[3,4,6,7,11,12,14],[3,4,6,9,10,13,14],[3,5,6,8,12,13,14],[3,5,7,9,10,11,12],[4,5,6,8,9,11,13]]; G[9180]:=Group([(1,12)(2,11)(6,10)(7,8)(9,14)]); # Design 9181: autom. group order 2, simple B[9181]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,11,12,14],[1,2,6,10,11,12,13],[1,3,5,7,9,10,13],[1,3,8,10,11,13,14],[1,4,5,9,12,13,14],[1,4,6,7,10,11,14],[1,4,7,8,9,12,14],[1,5,6,7,8,10,12],[1,6,7,8,9,11,13],[2,3,6,7,9,12,13],[2,3,7,8,9,11,14],[2,4,5,7,8,11,13],[2,4,5,7,10,13,14],[2,4,6,8,9,10,12],[2,5,6,9,10,11,14],[2,7,8,10,12,13,14],[3,4,5,8,10,11,12],[3,4,6,7,11,12,14],[3,4,6,9,10,13,14],[3,5,6,8,12,13,14],[3,5,7,9,10,11,12],[4,5,6,8,9,11,13]]; G[9181]:=Group([(1,12)(2,11)(6,10)(7,8)(9,14)]); # Design 9182: autom. group order 2, simple B[9182]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,11,12,14],[1,2,6,10,11,12,13],[1,3,5,7,9,10,13],[1,3,8,10,11,13,14],[1,4,5,9,12,13,14],[1,4,6,7,8,10,12],[1,4,7,8,9,12,14],[1,5,6,7,10,11,14],[1,6,7,8,9,11,13],[2,3,6,7,9,12,13],[2,3,7,8,9,11,14],[2,4,5,7,8,11,13],[2,4,5,7,10,13,14],[2,4,6,9,10,11,14],[2,5,6,8,9,10,12],[2,7,8,10,12,13,14],[3,4,5,8,10,11,12],[3,4,6,7,11,12,14],[3,4,6,9,10,13,14],[3,5,6,8,12,13,14],[3,5,7,9,10,11,12],[4,5,6,8,9,11,13]]; G[9182]:=Group([(1,12)(2,11)(6,10)(7,8)(9,14)]); # Design 9183: autom. group order 2, simple, residual B[9183]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,7,14],[1,2,5,8,11,12,13],[1,2,6,8,9,10,11],[1,3,5,8,9,12,14],[1,3,7,9,10,12,13],[1,4,5,8,9,13,14],[1,4,6,7,10,12,13],[1,4,7,9,10,11,14],[1,5,6,10,11,12,14],[1,6,7,8,11,13,14],[2,3,6,8,10,13,14],[2,3,7,9,11,12,14],[2,4,5,7,8,10,11],[2,4,5,10,12,13,14],[2,4,6,9,11,12,14],[2,5,7,9,10,13,14],[2,6,7,8,9,12,13],[3,4,5,6,9,11,13],[3,4,6,8,10,12,14],[3,4,7,8,11,13,14],[3,5,6,9,10,11,13],[3,5,7,8,10,11,12],[4,5,6,7,8,9,12]]; G[9183]:=Group([(1,11)(2,13)(7,9)(10,14)]); # Design 9184: autom. group order 2, simple, residual B[9184]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,7,14],[1,2,5,8,11,12,13],[1,2,6,8,9,11,14],[1,3,5,8,9,10,12],[1,3,7,9,12,13,14],[1,4,5,8,9,13,14],[1,4,6,7,10,12,13],[1,4,7,9,10,11,14],[1,5,6,10,11,12,14],[1,6,7,8,10,11,13],[2,3,6,8,10,13,14],[2,3,7,9,10,11,12],[2,4,5,7,8,10,11],[2,4,5,10,12,13,14],[2,4,6,9,11,12,14],[2,5,7,9,10,13,14],[2,6,7,8,9,12,13],[3,4,5,6,9,11,13],[3,4,6,8,10,12,14],[3,4,7,8,11,13,14],[3,5,6,9,10,11,13],[3,5,7,8,11,12,14],[4,5,6,7,8,9,12]]; G[9184]:=Group([(1,11)(2,13)(7,9)(10,14)]); # Design 9185: autom. group order 2, simple, residual B[9185]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,6,7,10,11,14],[1,3,5,7,9,10,13],[1,3,8,10,11,12,13],[1,4,5,9,10,12,14],[1,4,6,9,12,13,14],[1,4,7,8,10,11,14],[1,5,6,8,9,11,13],[1,6,7,8,12,13,14],[2,3,6,9,11,12,14],[2,3,7,10,12,13,14],[2,4,5,7,8,12,13],[2,4,5,8,11,13,14],[2,4,6,9,10,11,13],[2,5,8,9,10,12,14],[2,6,7,8,9,10,13],[3,4,5,6,10,13,14],[3,4,6,7,8,9,12],[3,4,7,8,9,11,14],[3,5,6,8,10,11,12],[3,5,7,9,11,13,14],[4,5,6,7,10,11,12]]; G[9185]:=Group([(1,10)(3,9)(4,8)(5,13)(11,14)]); # Design 9186: autom. group order 2, simple B[9186]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,6,7,8,10,13],[1,3,5,10,11,13,14],[1,3,7,9,12,13,14],[1,4,5,7,9,10,14],[1,4,6,9,10,11,13],[1,4,7,8,12,13,14],[1,5,6,8,11,12,14],[1,6,8,9,10,11,12],[2,3,6,9,10,12,14],[2,3,8,9,11,13,14],[2,4,5,8,9,12,13],[2,4,5,10,11,12,14],[2,4,6,7,9,11,14],[2,5,7,8,10,11,13],[2,6,7,10,12,13,14],[3,4,5,6,10,12,13],[3,4,6,7,8,11,12],[3,4,7,8,10,11,14],[3,5,6,7,9,11,13],[3,5,7,8,9,10,12],[4,5,6,8,9,13,14]]; G[9186]:=Group([(2,10)(3,9)(5,11)(7,13)(12,14)]); # Design 9187: autom. group order 2, simple B[9187]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,6,7,10,11,14],[1,3,5,9,10,12,13],[1,3,7,8,10,11,13],[1,4,5,7,9,10,14],[1,4,6,9,12,13,14],[1,4,8,10,11,12,14],[1,5,6,8,9,11,13],[1,6,7,8,12,13,14],[2,3,6,9,11,12,14],[2,3,7,10,12,13,14],[2,4,5,7,8,12,13],[2,4,5,8,11,13,14],[2,4,6,9,10,11,13],[2,5,8,9,10,12,14],[2,6,7,8,9,10,13],[3,4,5,6,10,13,14],[3,4,6,7,8,9,12],[3,4,7,8,9,11,14],[3,5,6,8,10,11,12],[3,5,7,9,11,13,14],[4,5,6,7,10,11,12]]; G[9187]:=Group([(1,10)(3,9)(4,8)(5,13)(11,14)]); # Design 9188: autom. group order 2, simple, residual B[9188]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,6,7,10,11,14],[1,3,5,9,10,12,14],[1,3,8,10,11,13,14],[1,4,5,7,12,13,14],[1,4,6,8,10,12,13],[1,4,7,8,9,11,14],[1,5,6,8,9,11,13],[1,6,7,9,10,12,13],[2,3,6,9,12,13,14],[2,3,7,9,10,11,13],[2,4,5,7,8,10,13],[2,4,5,9,10,13,14],[2,4,6,8,9,11,12],[2,5,8,11,12,13,14],[2,6,7,8,10,12,14],[3,4,5,6,10,11,12],[3,4,6,7,11,13,14],[3,4,7,8,9,12,14],[3,5,6,7,8,9,13],[3,5,7,8,10,11,12],[4,5,6,9,10,11,14]]; G[9188]:=Group([(2,13)(3,12)(5,10)(7,8)(9,14)]); # Design 9189: autom. group order 2, simple, residual B[9189]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,10,11],[1,2,6,7,12,13,14],[1,3,5,9,11,12,13],[1,3,8,9,10,12,14],[1,4,5,10,12,13,14],[1,4,6,7,9,12,14],[1,4,7,8,10,11,14],[1,5,6,8,9,11,13],[1,6,7,8,10,11,13],[2,3,6,10,11,13,14],[2,3,7,8,10,12,13],[2,4,5,7,8,11,12],[2,4,5,8,9,13,14],[2,4,6,9,10,11,12],[2,5,7,9,10,13,14],[2,6,8,9,11,12,14],[3,4,5,6,10,11,14],[3,4,6,7,8,9,13],[3,4,7,9,11,13,14],[3,5,6,7,9,10,12],[3,5,7,8,11,12,14],[4,5,6,8,10,12,13]]; G[9189]:=Group([(1,11)(3,12)(5,9)(7,10)]); # Design 9190: autom. group order 2, simple, residual B[9190]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,8,9,11],[1,2,6,9,10,12,14],[1,3,5,10,11,13,14],[1,3,7,9,10,12,14],[1,4,5,7,10,11,12],[1,4,6,8,9,11,13],[1,4,7,8,12,13,14],[1,5,6,7,9,12,13],[1,6,8,10,11,13,14],[2,3,6,7,10,11,13],[2,3,7,8,12,13,14],[2,4,5,8,10,12,13],[2,4,5,9,10,13,14],[2,4,6,9,11,12,14],[2,5,7,9,11,13,14],[2,6,7,8,10,11,12],[3,4,5,6,11,12,14],[3,4,6,7,9,10,13],[3,4,7,8,9,11,14],[3,5,6,8,9,12,13],[3,5,8,9,10,11,12],[4,5,6,7,8,10,14]]; G[9190]:=Group([(1,7)(2,14)(3,8)(5,12)(6,13)(10,11)]); # Design 9191: autom. group order 2, simple B[9191]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,6,9,10,11,14],[1,3,5,9,10,11,13],[1,3,7,8,10,12,14],[1,4,5,7,8,12,13],[1,4,6,9,10,12,13],[1,4,7,8,10,11,14],[1,5,6,7,11,13,14],[1,6,8,9,12,13,14],[2,3,6,7,10,12,13],[2,3,8,11,12,13,14],[2,4,5,8,9,13,14],[2,4,5,10,11,12,14],[2,4,6,7,9,12,14],[2,5,7,8,9,10,13],[2,6,7,8,10,11,13],[3,4,5,6,10,13,14],[3,4,6,7,8,9,11],[3,4,7,9,11,13,14],[3,5,6,8,9,11,12],[3,5,7,9,10,12,14],[4,5,6,8,10,11,12]]; G[9191]:=Group([(2,13)(3,12)(5,9)(7,10)]); # Design 9192: autom. group order 2, simple, residual B[9192]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,6,8,10,11,14],[1,3,5,10,12,13,14],[1,3,7,9,11,13,14],[1,4,5,7,9,10,14],[1,4,6,9,10,12,13],[1,4,7,8,11,13,14],[1,5,6,7,8,12,13],[1,6,8,9,10,11,12],[2,3,6,7,9,10,13],[2,3,8,9,12,13,14],[2,4,5,8,9,11,13],[2,4,5,10,11,12,14],[2,4,6,7,9,12,14],[2,5,7,8,10,12,13],[2,6,7,10,11,13,14],[3,4,5,6,10,11,13],[3,4,6,7,8,11,12],[3,4,7,8,10,12,14],[3,5,6,9,11,12,14],[3,5,7,8,9,10,11],[4,5,6,8,9,13,14]]; G[9192]:=Group([(2,10)(3,9)(5,12)(7,13)(11,14)]); # Design 9193: autom. group order 2, simple, residual B[9193]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,6,9,10,11,14],[1,3,5,9,10,11,13],[1,3,7,8,10,12,14],[1,4,5,7,8,12,13],[1,4,6,9,10,12,13],[1,4,7,8,10,11,14],[1,5,6,7,11,13,14],[1,6,8,9,12,13,14],[2,3,6,8,11,12,13],[2,3,7,10,12,13,14],[2,4,5,8,9,13,14],[2,4,5,10,11,12,14],[2,4,6,7,9,12,14],[2,5,7,8,9,10,13],[2,6,7,8,10,11,13],[3,4,5,6,10,13,14],[3,4,6,7,8,9,11],[3,4,7,9,11,13,14],[3,5,6,7,9,10,12],[3,5,8,9,11,12,14],[4,5,6,8,10,11,12]]; G[9193]:=Group([(2,13)(3,12)(5,9)(7,10)]); # Design 9194: autom. group order 2, simple B[9194]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,14],[1,2,6,9,10,12,13],[1,3,5,11,12,13,14],[1,3,7,8,9,11,12],[1,4,5,7,8,10,13],[1,4,6,8,9,12,14],[1,4,7,10,12,13,14],[1,5,6,8,10,11,13],[1,6,7,9,10,11,14],[2,3,6,7,10,11,13],[2,3,8,9,10,13,14],[2,4,5,7,9,13,14],[2,4,5,9,10,11,12],[2,4,6,7,8,11,12],[2,5,8,10,11,12,14],[2,6,7,8,12,13,14],[3,4,5,6,10,12,14],[3,4,6,9,11,13,14],[3,4,7,8,10,11,14],[3,5,6,7,9,10,12],[3,5,7,8,9,12,13],[4,5,6,8,9,11,13]]; G[9194]:=Group([(1,11)(3,12)(6,10)(7,9)]); # Design 9195: autom. group order 2, simple, residual B[9195]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,14],[1,2,6,9,10,12,13],[1,3,5,8,11,12,13],[1,3,7,9,11,12,14],[1,4,5,7,8,10,13],[1,4,6,8,9,12,14],[1,4,7,10,12,13,14],[1,5,6,10,11,13,14],[1,6,7,8,9,10,11],[2,3,6,7,10,11,13],[2,3,8,9,10,13,14],[2,4,5,7,9,13,14],[2,4,5,9,10,11,12],[2,4,6,7,8,11,12],[2,5,8,10,11,12,14],[2,6,7,8,12,13,14],[3,4,5,6,10,12,14],[3,4,6,9,11,13,14],[3,4,7,8,10,11,14],[3,5,6,7,9,10,12],[3,5,7,8,9,12,13],[4,5,6,8,9,11,13]]; G[9195]:=Group([(1,11)(3,12)(6,10)(7,9)]); # Design 9196: autom. group order 2, simple, residual B[9196]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,10,11],[1,2,6,9,12,13,14],[1,3,5,10,11,12,13],[1,3,7,8,10,12,14],[1,4,5,9,12,13,14],[1,4,6,7,10,12,14],[1,4,7,8,9,11,14],[1,5,6,8,10,11,13],[1,6,7,8,9,11,13],[2,3,6,7,11,13,14],[2,3,7,8,9,12,13],[2,4,5,7,8,11,12],[2,4,5,8,10,13,14],[2,4,6,9,10,11,12],[2,5,7,9,10,13,14],[2,6,8,10,11,12,14],[3,4,5,6,9,11,14],[3,4,6,8,9,10,13],[3,4,7,10,11,13,14],[3,5,6,7,9,10,12],[3,5,8,9,11,12,14],[4,5,6,7,8,12,13]]; G[9196]:=Group([(1,11)(3,12)(5,10)(7,9)]); # Design 9197: autom. group order 2, simple B[9197]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,10,11],[1,2,6,11,12,13,14],[1,3,5,9,10,12,13],[1,3,7,8,9,12,14],[1,4,5,8,10,11,14],[1,4,6,7,10,12,14],[1,4,8,9,11,13,14],[1,5,6,7,8,12,13],[1,6,7,9,10,11,13],[2,3,6,8,10,11,13],[2,3,7,9,11,12,14],[2,4,5,7,9,13,14],[2,4,5,10,12,13,14],[2,4,6,7,8,9,13],[2,5,7,8,10,11,12],[2,6,8,9,10,12,14],[3,4,5,6,9,11,12],[3,4,6,7,10,11,14],[3,4,7,8,10,12,13],[3,5,6,9,10,13,14],[3,5,7,8,11,13,14],[4,5,6,8,9,11,12]]; G[9197]:=Group([(1,14)(2,7)(4,11)(5,9)(6,12)(10,13)]); # Design 9198: autom. group order 2, simple, residual B[9198]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,6,9,11,13,14],[1,3,5,9,10,11,14],[1,3,8,10,12,13,14],[1,4,5,7,10,11,13],[1,4,6,8,10,11,12],[1,4,7,8,9,12,14],[1,5,6,7,8,10,13],[1,6,7,9,12,13,14],[2,3,6,7,10,12,13],[2,3,7,10,11,12,14],[2,4,5,7,8,12,14],[2,4,5,9,10,13,14],[2,4,6,8,11,13,14],[2,5,8,9,10,12,13],[2,6,7,8,9,10,11],[3,4,5,6,9,12,13],[3,4,6,7,9,10,14],[3,4,7,8,9,11,13],[3,5,6,8,9,11,12],[3,5,7,8,11,13,14],[4,5,6,10,11,12,14]]; G[9198]:=Group([(1,9)(3,10)(4,8)(6,13)(7,12)]); # Design 9199: autom. group order 2, simple B[9199]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,6,10,11,12,14],[1,3,5,9,10,11,14],[1,3,8,10,12,13,14],[1,4,5,7,10,11,13],[1,4,6,8,9,11,13],[1,4,7,8,9,12,14],[1,5,6,7,8,10,13],[1,6,7,9,12,13,14],[2,3,6,7,10,12,13],[2,3,7,9,11,13,14],[2,4,5,7,8,12,14],[2,4,5,9,10,13,14],[2,4,6,8,11,13,14],[2,5,8,9,10,12,13],[2,6,7,8,9,10,11],[3,4,5,6,9,12,13],[3,4,6,7,9,10,14],[3,4,7,8,10,11,12],[3,5,6,8,9,11,12],[3,5,7,8,11,13,14],[4,5,6,10,11,12,14]]; G[9199]:=Group([(1,9)(3,10)(4,8)(6,13)(7,12)]); # Design 9200: autom. group order 2, simple, residual B[9200]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,6,9,11,13,14],[1,3,5,9,10,11,14],[1,3,8,10,12,13,14],[1,4,5,7,10,11,13],[1,4,6,8,10,11,12],[1,4,7,8,9,12,14],[1,5,6,7,8,10,13],[1,6,7,9,12,13,14],[2,3,6,7,10,12,13],[2,3,7,8,11,13,14],[2,4,5,7,8,12,14],[2,4,5,9,10,13,14],[2,4,6,10,11,12,14],[2,5,8,9,10,12,13],[2,6,7,8,9,10,11],[3,4,5,6,9,12,13],[3,4,6,7,9,10,14],[3,4,7,8,9,11,13],[3,5,6,8,9,11,12],[3,5,7,10,11,12,14],[4,5,6,8,11,13,14]]; G[9200]:=Group([(1,9)(3,10)(4,8)(6,13)(7,12)]); # Design 9201: autom. group order 2, simple, residual B[9201]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,11,12,13],[1,2,6,7,9,11,14],[1,3,5,7,9,10,12],[1,3,7,8,10,12,13],[1,4,5,7,9,13,14],[1,4,6,8,12,13,14],[1,4,7,8,10,11,14],[1,5,6,10,11,12,14],[1,6,8,9,10,11,13],[2,3,6,9,10,13,14],[2,3,7,8,11,12,14],[2,4,5,8,9,10,11],[2,4,5,10,12,13,14],[2,4,6,7,10,11,12],[2,5,7,8,10,13,14],[2,6,7,8,9,12,13],[3,4,5,6,8,11,13],[3,4,6,9,10,12,14],[3,4,7,9,11,13,14],[3,5,6,7,10,11,13],[3,5,8,9,11,12,14],[4,5,6,7,8,9,12]]; G[9201]:=Group([(1,11)(2,13)(7,8)(10,14)]); # Design 9202: autom. group order 2, simple, residual B[9202]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,12],[1,2,6,7,9,11,14],[1,3,5,7,9,11,13],[1,3,7,8,10,12,14],[1,4,5,7,8,12,13],[1,4,6,9,10,12,13],[1,4,7,8,10,11,14],[1,5,6,10,11,13,14],[1,6,8,9,12,13,14],[2,3,6,8,11,12,13],[2,3,7,10,12,13,14],[2,4,5,8,9,13,14],[2,4,5,10,11,12,14],[2,4,6,7,9,12,14],[2,5,7,8,9,10,13],[2,6,7,8,10,11,13],[3,4,5,6,10,13,14],[3,4,6,8,9,10,11],[3,4,7,9,11,13,14],[3,5,6,7,9,10,12],[3,5,8,9,11,12,14],[4,5,6,7,8,11,12]]; G[9202]:=Group([(2,13)(3,12)(5,9)(7,10)]); # Design 9203: autom. group order 2, simple B[9203]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,11,12,14],[1,2,6,7,8,10,11],[1,3,5,7,10,12,13],[1,3,7,9,11,13,14],[1,4,5,7,9,10,14],[1,4,6,9,10,11,12],[1,4,7,8,11,13,14],[1,5,6,8,12,13,14],[1,6,8,9,10,12,13],[2,3,6,9,10,13,14],[2,3,7,8,9,12,13],[2,4,5,8,9,11,13],[2,4,5,10,12,13,14],[2,4,6,7,9,12,14],[2,5,7,8,10,11,12],[2,6,7,10,11,13,14],[3,4,5,6,10,11,13],[3,4,6,8,11,12,14],[3,4,7,8,10,12,14],[3,5,6,7,9,11,12],[3,5,8,9,10,11,14],[4,5,6,7,8,9,13]]; G[9203]:=Group([(2,10)(3,9)(5,12)(7,11)(13,14)]); # Design 9204: autom. group order 2, simple, residual B[9204]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,11,12,13],[1,2,6,7,9,11,14],[1,3,5,7,9,10,12],[1,3,7,8,10,12,13],[1,4,5,8,9,13,14],[1,4,6,7,12,13,14],[1,4,7,8,10,11,14],[1,5,6,10,11,12,14],[1,6,8,9,10,11,13],[2,3,6,9,10,13,14],[2,3,7,8,11,12,14],[2,4,5,7,9,10,11],[2,4,5,10,12,13,14],[2,4,6,8,10,11,12],[2,5,7,8,10,13,14],[2,6,7,8,9,12,13],[3,4,5,6,8,11,13],[3,4,6,9,10,12,14],[3,4,7,9,11,13,14],[3,5,6,7,10,11,13],[3,5,8,9,11,12,14],[4,5,6,7,8,9,12]]; G[9204]:=Group([(1,11)(2,13)(7,8)(10,14)]); # Design 9205: autom. group order 2, simple, residual B[9205]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,11,12,14],[1,2,6,7,9,11,13],[1,3,5,7,9,10,11],[1,3,7,8,10,13,14],[1,4,5,10,11,13,14],[1,4,6,8,10,11,12],[1,4,7,8,9,12,14],[1,5,6,8,10,12,13],[1,6,7,9,12,13,14],[2,3,6,10,12,13,14],[2,3,7,10,11,12,14],[2,4,5,7,8,12,14],[2,4,5,9,10,12,13],[2,4,6,7,8,11,13],[2,5,7,8,9,10,13],[2,6,8,9,10,11,14],[3,4,5,6,9,13,14],[3,4,6,7,9,10,12],[3,4,8,9,11,13,14],[3,5,6,8,9,11,12],[3,5,7,8,11,12,13],[4,5,6,7,10,11,14]]; G[9205]:=Group([(1,9)(3,10)(4,8)(6,13)(12,14)]); # Design 9206: autom. group order 2, simple, residual B[9206]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,11,12,14],[1,2,6,7,9,11,13],[1,3,5,8,10,12,13],[1,3,7,9,10,11,12],[1,4,5,7,10,11,14],[1,4,6,7,8,9,13],[1,4,8,10,11,13,14],[1,5,6,9,12,13,14],[1,6,7,8,10,12,14],[2,3,6,10,11,13,14],[2,3,7,8,12,13,14],[2,4,5,7,8,11,12],[2,4,5,9,10,13,14],[2,4,6,7,10,12,14],[2,5,7,8,9,10,13],[2,6,8,9,10,11,12],[3,4,5,6,9,10,12],[3,4,6,8,9,11,14],[3,4,7,9,12,13,14],[3,5,6,7,10,11,13],[3,5,7,8,9,11,14],[4,5,6,8,11,12,13]]; G[9206]:=Group([(1,9)(3,10)(4,8)(6,13)]); # Design 9207: autom. group order 2, simple, residual B[9207]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,9,12,13,14],[1,2,6,7,10,12,14],[1,3,5,9,10,13,14],[1,3,7,8,10,12,13],[1,4,5,7,10,11,14],[1,4,6,8,10,13,14],[1,4,7,8,9,11,12],[1,5,6,7,9,11,13],[1,6,8,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,11,13,14],[2,4,5,8,12,13,14],[2,4,5,9,10,11,12],[2,4,6,7,9,10,13],[2,5,7,8,10,11,14],[2,6,8,9,10,11,13],[3,4,5,6,8,9,14],[3,4,6,10,11,12,14],[3,4,7,9,11,13,14],[3,5,6,10,11,12,13],[3,5,7,8,9,10,12],[4,5,6,7,8,12,13]]; G[9207]:=Group([(1,9)(3,10)(5,13)]); # Design 9208: autom. group order 2, simple, residual B[9208]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,11,12,14],[1,2,6,7,8,11,13],[1,3,5,10,12,13,14],[1,3,7,8,10,11,12],[1,4,5,7,10,13,14],[1,4,6,9,10,11,12],[1,4,7,8,9,12,14],[1,5,6,8,9,10,13],[1,6,7,9,11,13,14],[2,3,6,7,9,12,14],[2,3,9,10,11,13,14],[2,4,5,7,10,11,14],[2,4,5,8,9,12,13],[2,4,6,7,10,12,13],[2,5,7,8,9,10,11],[2,6,8,10,12,13,14],[3,4,5,6,9,11,13],[3,4,6,8,10,11,14],[3,4,7,8,9,13,14],[3,5,6,7,9,10,12],[3,5,7,8,11,12,13],[4,5,6,8,11,12,14]]; G[9208]:=Group([(1,13)(3,12)(5,10)]); # Design 9209: autom. group order 2, simple, residual B[9209]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,11,12,14],[1,2,6,7,10,11,14],[1,3,5,9,10,13,14],[1,3,7,8,10,12,13],[1,4,5,9,10,11,12],[1,4,6,7,9,12,13],[1,4,7,8,10,11,14],[1,5,6,7,8,9,13],[1,6,8,11,12,13,14],[2,3,6,7,9,11,12],[2,3,7,10,12,13,14],[2,4,5,7,8,11,13],[2,4,5,8,12,13,14],[2,4,6,9,10,13,14],[2,5,7,8,9,10,12],[2,6,8,9,10,11,13],[3,4,5,6,10,11,13],[3,4,6,8,9,12,14],[3,4,7,8,9,11,14],[3,5,6,8,10,11,12],[3,5,7,9,11,13,14],[4,5,6,7,10,12,14]]; G[9209]:=Group([(1,10)(3,9)(4,8)(5,13)(7,11)]); # Design 9210: autom. group order 2, simple, residual B[9210]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,11,12,14],[1,2,6,8,10,13,14],[1,3,5,7,10,11,13],[1,3,7,9,12,13,14],[1,4,5,7,9,10,14],[1,4,6,9,10,11,12],[1,4,7,8,12,13,14],[1,5,6,7,8,11,12],[1,6,8,9,10,11,13],[2,3,6,7,9,10,12],[2,3,7,8,9,11,13],[2,4,5,8,9,12,13],[2,4,5,10,11,13,14],[2,4,6,7,9,11,14],[2,5,7,8,10,11,12],[2,6,7,10,12,13,14],[3,4,5,6,10,12,13],[3,4,6,8,11,12,14],[3,4,7,8,10,11,14],[3,5,6,9,11,13,14],[3,5,8,9,10,12,14],[4,5,6,7,8,9,13]]; G[9210]:=Group([(2,10)(3,9)(5,11)(7,12)(13,14)]); # Design 9211: autom. group order 2, simple, residual B[9211]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,7,9,12,14],[1,2,6,8,12,13,14],[1,3,5,7,9,10,13],[1,3,9,10,11,12,14],[1,4,5,8,10,13,14],[1,4,6,7,9,12,13],[1,4,7,8,10,11,12],[1,5,6,10,11,13,14],[1,6,7,8,9,11,14],[2,3,7,8,11,13,14],[2,3,7,10,12,13,14],[2,4,5,6,10,12,14],[2,4,5,7,9,11,14],[2,4,6,9,10,11,13],[2,5,8,9,10,11,12],[2,6,7,8,9,10,13],[3,4,5,8,9,13,14],[3,4,6,7,10,11,14],[3,4,6,8,9,12,14],[3,5,6,7,8,10,12],[3,5,6,9,11,12,13],[4,5,7,8,11,12,13]]; G[9211]:=Group([(1,10)(3,9)(4,8)(5,13)]); # Design 9212: autom. group order 2, simple B[9212]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,7,9,12,14],[1,2,6,8,12,13,14],[1,3,5,9,10,13,14],[1,3,7,9,10,11,12],[1,4,5,7,8,10,13],[1,4,6,7,9,12,13],[1,4,8,10,11,12,14],[1,5,6,10,11,13,14],[1,6,7,8,9,11,14],[2,3,7,8,11,13,14],[2,3,7,10,12,13,14],[2,4,5,6,10,12,14],[2,4,5,7,9,11,14],[2,4,6,9,10,11,13],[2,5,8,9,10,11,12],[2,6,7,8,9,10,13],[3,4,5,8,9,13,14],[3,4,6,7,10,11,14],[3,4,6,8,9,12,14],[3,5,6,7,8,10,12],[3,5,6,9,11,12,13],[4,5,7,8,11,12,13]]; G[9212]:=Group([(1,10)(3,9)(4,8)(5,13)]); # Design 9213: autom. group order 2, simple, residual B[9213]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,7,9,12,14],[1,2,6,8,12,13,14],[1,3,5,9,10,13,14],[1,3,7,9,10,11,12],[1,4,5,8,10,13,14],[1,4,6,7,9,12,13],[1,4,7,8,10,11,14],[1,5,6,7,10,11,13],[1,6,8,9,11,12,14],[2,3,7,8,11,13,14],[2,3,7,10,12,13,14],[2,4,5,6,10,12,14],[2,4,5,7,9,11,14],[2,4,6,9,10,11,13],[2,5,8,9,10,11,12],[2,6,7,8,9,10,13],[3,4,5,8,9,12,13],[3,4,6,7,8,9,14],[3,4,6,10,11,12,14],[3,5,6,7,8,10,12],[3,5,6,9,11,13,14],[4,5,7,8,11,12,13]]; G[9213]:=Group([(1,10)(3,9)(4,8)(5,13)]); # Design 9214: autom. group order 2, simple, residual B[9214]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,8,11,12,13],[1,2,6,7,9,11,14],[1,3,5,7,9,10,12],[1,3,9,10,11,12,14],[1,4,5,7,9,11,13],[1,4,6,8,10,13,14],[1,4,7,8,10,11,14],[1,5,6,10,12,13,14],[1,6,7,8,9,12,13],[2,3,7,8,12,13,14],[2,3,7,10,11,13,14],[2,4,5,6,10,11,12],[2,4,5,9,10,13,14],[2,4,6,7,9,12,14],[2,5,7,8,9,10,13],[2,6,8,9,10,11,12],[3,4,5,8,9,12,14],[3,4,6,7,10,12,13],[3,4,6,8,9,11,13],[3,5,6,7,8,10,11],[3,5,6,9,11,13,14],[4,5,7,8,11,12,14]]; G[9214]:=Group([(1,10)(3,9)(4,8)(6,13)]); # Design 9215: autom. group order 2, simple, residual B[9215]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,8,11,12,13],[1,2,6,7,9,11,14],[1,3,5,9,10,12,14],[1,3,7,9,10,11,12],[1,4,5,9,11,13,14],[1,4,6,7,8,10,13],[1,4,7,8,10,11,14],[1,5,6,7,10,12,13],[1,6,8,9,12,13,14],[2,3,7,8,12,13,14],[2,3,7,10,11,13,14],[2,4,5,6,10,11,12],[2,4,5,9,10,13,14],[2,4,6,7,9,12,14],[2,5,7,8,9,10,13],[2,6,8,9,10,11,12],[3,4,5,7,8,9,12],[3,4,6,8,9,11,13],[3,4,6,10,12,13,14],[3,5,6,7,9,11,13],[3,5,6,8,10,11,14],[4,5,7,8,11,12,14]]; G[9215]:=Group([(1,10)(3,9)(4,8)(6,13)]); # Design 9216: autom. group order 2, simple B[9216]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,10,11],[1,2,7,9,12,13,14],[1,3,5,9,11,12,14],[1,3,6,9,10,12,13],[1,4,5,8,10,11,13],[1,4,6,7,8,9,13],[1,4,6,7,10,12,14],[1,5,7,8,11,13,14],[1,6,8,10,11,12,14],[2,3,6,10,11,13,14],[2,3,7,8,10,13,14],[2,4,5,6,11,12,13],[2,4,5,7,10,12,14],[2,4,6,8,9,11,14],[2,5,8,9,10,12,13],[2,6,7,8,9,11,12],[3,4,5,8,9,12,14],[3,4,7,8,10,11,12],[3,4,7,9,11,13,14],[3,5,6,7,8,12,13],[3,5,6,7,9,10,11],[4,5,6,9,10,13,14]]; G[9216]:=Group([(1,6)(2,5)(4,7)(9,13)(10,12)]); # Design 9217: autom. group order 2, simple B[9217]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,7,9,10,13,14],[1,3,5,9,11,12,14],[1,3,6,9,10,11,13],[1,4,5,8,12,13,14],[1,4,6,7,8,9,13],[1,4,6,7,10,11,14],[1,5,7,8,10,12,13],[1,6,8,10,11,12,14],[2,3,6,10,12,13,14],[2,3,7,8,11,13,14],[2,4,5,6,10,12,13],[2,4,5,7,10,11,14],[2,4,6,8,9,11,12],[2,5,8,9,10,11,13],[2,6,7,8,9,12,14],[3,4,5,8,9,10,14],[3,4,7,8,10,11,12],[3,4,7,9,12,13,14],[3,5,6,7,8,11,13],[3,5,6,7,9,10,12],[4,5,6,9,11,13,14]]; G[9217]:=Group([(1,6)(2,5)(4,7)(9,13)(10,11)]); # Design 9218: autom. group order 2, simple, residual B[9218]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,10,11],[1,2,7,9,11,12,14],[1,3,5,9,10,12,14],[1,3,6,10,11,13,14],[1,4,5,8,9,12,13],[1,4,6,7,8,11,14],[1,4,6,7,10,12,13],[1,5,7,8,12,13,14],[1,6,8,9,10,11,13],[2,3,6,9,12,13,14],[2,3,7,8,11,12,13],[2,4,5,6,9,11,13],[2,4,5,7,10,13,14],[2,4,6,8,10,12,14],[2,5,8,10,11,13,14],[2,6,7,8,9,10,12],[3,4,5,8,10,11,12],[3,4,7,8,9,11,14],[3,4,7,9,10,13,14],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,6,9,11,12,14]]; G[9218]:=Group([(1,6)(2,5)(4,7)(10,13)]); # Design 9219: autom. group order 2, simple, residual B[9219]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,10,11],[1,2,7,9,11,12,14],[1,3,5,9,10,12,14],[1,3,6,10,11,13,14],[1,4,5,8,12,13,14],[1,4,6,7,8,11,14],[1,4,6,7,10,12,13],[1,5,7,8,9,12,13],[1,6,8,9,10,11,13],[2,3,6,9,12,13,14],[2,3,7,8,11,12,13],[2,4,5,6,9,11,13],[2,4,5,7,10,13,14],[2,4,6,8,9,10,12],[2,5,8,10,11,13,14],[2,6,7,8,10,12,14],[3,4,5,8,10,11,12],[3,4,7,8,9,11,14],[3,4,7,9,10,13,14],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,6,9,11,12,14]]; G[9219]:=Group([(1,6)(2,5)(4,7)(10,13)]); # Design 9220: autom. group order 2, simple, residual B[9220]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,7,9,11,13,14],[1,3,5,9,12,13,14],[1,3,6,10,11,12,14],[1,4,5,8,10,11,14],[1,4,6,7,8,13,14],[1,4,6,7,10,12,13],[1,5,7,8,9,10,13],[1,6,8,9,10,11,12],[2,3,6,9,10,13,14],[2,3,7,8,10,11,13],[2,4,5,6,9,10,11],[2,4,5,7,10,12,14],[2,4,6,8,9,12,13],[2,5,8,10,12,13,14],[2,6,7,8,11,12,14],[3,4,5,8,11,12,13],[3,4,7,8,9,11,14],[3,4,7,9,10,12,14],[3,5,6,7,8,9,12],[3,5,6,7,10,11,13],[4,5,6,9,11,13,14]]; G[9220]:=Group([(1,6)(2,5)(4,7)(10,12)]); # Design 9221: autom. group order 2, simple, residual B[9221]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,7,9,11,13,14],[1,3,5,9,12,13,14],[1,3,6,10,11,12,14],[1,4,5,8,10,13,14],[1,4,6,7,8,11,14],[1,4,6,7,10,12,13],[1,5,7,8,9,10,13],[1,6,8,9,10,11,12],[2,3,6,9,10,13,14],[2,3,7,8,10,11,13],[2,4,5,6,9,10,11],[2,4,5,7,10,12,14],[2,4,6,8,9,12,13],[2,5,8,10,11,12,14],[2,6,7,8,12,13,14],[3,4,5,8,11,12,13],[3,4,7,8,9,11,14],[3,4,7,9,10,12,14],[3,5,6,7,8,9,12],[3,5,6,7,10,11,13],[4,5,6,9,11,13,14]]; G[9221]:=Group([(1,6)(2,5)(4,7)(10,12)]); # Design 9222: autom. group order 2, simple B[9222]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,11,12,13],[1,2,7,9,10,11,14],[1,3,5,9,11,12,14],[1,3,6,9,10,11,13],[1,4,5,8,10,12,13],[1,4,6,7,8,10,11],[1,4,6,7,9,13,14],[1,5,7,8,10,12,14],[1,6,8,9,12,13,14],[2,3,6,10,12,13,14],[2,3,7,8,10,13,14],[2,4,5,6,9,10,12],[2,4,5,7,9,13,14],[2,4,6,8,11,12,14],[2,5,8,9,10,11,13],[2,6,7,8,9,11,12],[3,4,5,8,9,11,14],[3,4,7,8,9,12,13],[3,4,7,10,11,12,14],[3,5,6,7,8,11,13],[3,5,6,7,9,10,12],[4,5,6,10,11,13,14]]; G[9222]:=Group([(1,6)(2,5)(4,7)(9,13)(10,11)]); # Design 9223: autom. group order 2, simple, residual B[9223]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,10,11],[1,2,7,8,9,12,13],[1,3,5,9,10,12,14],[1,3,6,10,11,13,14],[1,4,5,9,11,12,14],[1,4,6,7,8,12,14],[1,4,6,7,10,12,13],[1,5,7,8,11,13,14],[1,6,8,9,10,11,13],[2,3,6,9,12,13,14],[2,3,7,8,10,11,12],[2,4,5,6,9,11,13],[2,4,5,7,10,13,14],[2,4,6,8,10,11,14],[2,5,8,10,12,13,14],[2,6,7,9,11,12,14],[3,4,5,8,11,12,13],[3,4,7,8,9,11,14],[3,4,7,9,10,13,14],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,6,8,9,10,12]]; G[9223]:=Group([(1,6)(2,5)(4,7)(10,13)]); # Design 9224: autom. group order 2, simple, residual B[9224]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,10,11],[1,2,7,8,12,13,14],[1,3,5,9,10,12,14],[1,3,6,9,11,13,14],[1,4,5,10,11,12,14],[1,4,6,7,8,10,12],[1,4,6,7,9,12,13],[1,5,7,8,11,13,14],[1,6,8,9,10,11,13],[2,3,6,10,12,13,14],[2,3,7,8,9,11,12],[2,4,5,6,10,11,13],[2,4,5,7,9,13,14],[2,4,6,8,9,11,14],[2,5,8,9,10,12,13],[2,6,7,10,11,12,14],[3,4,5,8,11,12,13],[3,4,7,8,10,11,14],[3,4,7,9,10,13,14],[3,5,6,7,8,10,13],[3,5,6,7,9,11,12],[4,5,6,8,9,12,14]]; G[9224]:=Group([(1,6)(2,5)(4,7)(9,13)]); # Design 9225: autom. group order 2, simple, residual B[9225]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,7,9,12,14],[1,2,7,8,10,12,13],[1,3,5,9,12,13,14],[1,3,6,10,11,12,14],[1,4,5,9,10,11,13],[1,4,6,7,8,9,13],[1,4,6,7,10,12,14],[1,5,7,8,10,11,14],[1,6,8,9,11,13,14],[2,3,6,9,10,13,14],[2,3,7,8,10,13,14],[2,4,5,6,9,10,14],[2,4,5,7,11,13,14],[2,4,6,8,11,12,14],[2,5,8,9,10,11,12],[2,6,7,9,11,12,13],[3,4,5,8,12,13,14],[3,4,7,8,9,11,14],[3,4,7,9,10,11,12],[3,5,6,7,8,9,12],[3,5,6,7,10,11,13],[4,5,6,8,10,12,13]]; G[9225]:=Group([(1,6)(2,5)(4,7)(10,12)]); # Design 9226: autom. group order 2, simple, residual B[9226]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,7,8,10,13,14],[1,3,5,9,11,13,14],[1,3,6,10,11,12,14],[1,4,5,9,12,13,14],[1,4,6,7,8,9,13],[1,4,6,7,10,11,13],[1,5,7,8,10,12,14],[1,6,8,9,10,11,12],[2,3,6,9,10,13,14],[2,3,7,8,11,12,13],[2,4,5,6,9,10,12],[2,4,5,7,10,11,14],[2,4,6,8,11,12,14],[2,5,8,9,10,11,13],[2,6,7,9,12,13,14],[3,4,5,8,10,12,13],[3,4,7,8,9,12,14],[3,4,7,9,10,11,14],[3,5,6,7,8,9,11],[3,5,6,7,10,12,13],[4,5,6,8,11,13,14]]; G[9226]:=Group([(1,6)(2,5)(4,7)(10,11)]); # Design 9227: autom. group order 2, simple, residual B[9227]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,7,8,9,10,13],[1,3,5,9,11,12,14],[1,3,6,9,10,11,13],[1,4,5,8,12,13,14],[1,4,6,7,9,13,14],[1,4,6,7,10,11,14],[1,5,7,8,10,12,13],[1,6,8,10,11,12,14],[2,3,6,10,12,13,14],[2,3,7,8,11,13,14],[2,4,5,6,10,12,13],[2,4,5,7,10,11,14],[2,4,6,8,9,11,12],[2,5,9,10,11,13,14],[2,6,7,8,9,12,14],[3,4,5,8,9,10,14],[3,4,7,8,10,11,12],[3,4,7,9,12,13,14],[3,5,6,7,8,11,13],[3,5,6,7,9,10,12],[4,5,6,8,9,11,13]]; G[9227]:=Group([(1,6)(2,5)(4,7)(9,13)(10,11)]); # Design 9228: autom. group order 2, simple, residual B[9228]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,7,8,11,13,14],[1,3,5,9,11,12,14],[1,3,6,9,10,12,13],[1,4,5,8,9,10,13],[1,4,6,7,9,13,14],[1,4,6,7,10,12,14],[1,5,7,8,10,11,13],[1,6,8,10,11,12,14],[2,3,6,10,11,13,14],[2,3,7,8,9,10,14],[2,4,5,6,10,11,13],[2,4,5,7,10,12,14],[2,4,6,8,9,11,12],[2,5,9,10,12,13,14],[2,6,7,8,9,12,13],[3,4,5,8,12,13,14],[3,4,7,8,10,11,12],[3,4,7,9,11,13,14],[3,5,6,7,8,12,13],[3,5,6,7,9,10,11],[4,5,6,8,9,11,14]]; G[9228]:=Group([(1,6)(2,5)(4,7)(9,13)(10,12)]); # Design 9229: autom. group order 2, simple, residual B[9229]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,7,8,10,11,13],[1,3,5,9,11,12,14],[1,3,6,9,10,11,13],[1,4,5,8,10,12,14],[1,4,6,7,9,13,14],[1,4,6,7,10,11,14],[1,5,7,8,10,12,13],[1,6,8,9,12,13,14],[2,3,6,10,12,13,14],[2,3,7,8,9,10,14],[2,4,5,6,10,12,13],[2,4,5,7,9,13,14],[2,4,6,8,9,11,12],[2,5,9,10,11,13,14],[2,6,7,8,11,12,14],[3,4,5,8,11,13,14],[3,4,7,8,9,12,13],[3,4,7,10,11,12,14],[3,5,6,7,8,11,13],[3,5,6,7,9,10,12],[4,5,6,8,9,10,11]]; G[9229]:=Group([(1,6)(2,5)(4,7)(9,13)(10,11)]); # Design 9230: autom. group order 2, simple, residual B[9230]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,10,11],[1,2,7,8,9,12,13],[1,3,5,9,12,13,14],[1,3,6,10,11,12,14],[1,4,5,8,10,11,14],[1,4,6,7,8,13,14],[1,4,6,7,10,12,13],[1,5,7,9,11,13,14],[1,6,8,9,10,11,12],[2,3,6,9,10,13,14],[2,3,7,8,10,11,13],[2,4,5,6,9,11,12],[2,4,5,7,10,12,14],[2,4,6,9,11,13,14],[2,5,8,10,12,13,14],[2,6,7,8,11,12,14],[3,4,5,8,11,12,13],[3,4,7,8,9,11,14],[3,4,7,9,10,12,14],[3,5,6,7,8,9,12],[3,5,6,7,10,11,13],[4,5,6,8,9,10,13]]; G[9230]:=Group([(1,6)(2,5)(4,7)(10,12)]); # Design 9231: autom. group order 2, simple, residual B[9231]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,7,9,12,14],[1,2,7,8,10,12,13],[1,3,5,9,12,13,14],[1,3,6,10,11,12,14],[1,4,5,8,10,11,14],[1,4,6,7,8,9,13],[1,4,6,7,10,12,14],[1,5,7,9,10,11,13],[1,6,8,9,11,13,14],[2,3,6,9,10,13,14],[2,3,7,8,10,13,14],[2,4,5,6,9,10,14],[2,4,5,7,11,13,14],[2,4,6,9,11,12,13],[2,5,8,9,10,11,12],[2,6,7,8,11,12,14],[3,4,5,8,12,13,14],[3,4,7,8,9,11,14],[3,4,7,9,10,11,12],[3,5,6,7,8,9,12],[3,5,6,7,10,11,13],[4,5,6,8,10,12,13]]; G[9231]:=Group([(1,6)(2,5)(4,7)(10,12)]); # Design 9232: autom. group order 2, simple B[9232]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,11,12,13],[1,2,7,8,9,11,14],[1,3,5,9,11,12,14],[1,3,6,9,10,12,13],[1,4,5,8,10,11,13],[1,4,6,7,8,9,13],[1,4,6,7,10,12,14],[1,5,7,9,10,13,14],[1,6,8,10,11,12,14],[2,3,6,10,11,13,14],[2,3,7,8,10,13,14],[2,4,5,6,9,10,11],[2,4,5,7,10,12,14],[2,4,6,9,12,13,14],[2,5,8,9,10,12,13],[2,6,7,8,9,11,12],[3,4,5,8,9,12,14],[3,4,7,8,10,11,12],[3,4,7,9,11,13,14],[3,5,6,7,8,12,13],[3,5,6,7,9,10,11],[4,5,6,8,11,13,14]]; G[9232]:=Group([(1,6)(2,5)(4,7)(9,13)(10,12)]); # Design 9233: autom. group order 2, simple, residual B[9233]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,7,9,12,14],[1,2,7,8,11,13,14],[1,3,5,9,10,12,14],[1,3,6,8,9,13,14],[1,4,5,9,10,11,13],[1,4,6,7,9,13,14],[1,4,6,7,10,11,12],[1,5,7,8,10,12,13],[1,6,8,10,11,12,14],[2,3,6,10,12,13,14],[2,3,7,9,10,11,14],[2,4,5,6,12,13,14],[2,4,5,7,8,10,14],[2,4,6,8,9,10,12],[2,5,8,9,11,12,13],[2,6,7,9,10,11,13],[3,4,5,10,11,13,14],[3,4,7,8,9,12,13],[3,4,7,8,11,12,14],[3,5,6,7,8,10,13],[3,5,6,7,9,11,12],[4,5,6,8,9,11,14]]; G[9233]:=Group([(1,6)(2,5)(4,7)(9,13)]); # Design 9234: autom. group order 2, simple, residual B[9234]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,7,12,13,14],[1,2,7,8,9,11,14],[1,3,5,10,12,13,14],[1,3,6,8,9,12,14],[1,4,5,9,10,11,12],[1,4,6,7,9,12,14],[1,4,6,7,10,11,13],[1,5,7,8,9,10,13],[1,6,8,10,11,13,14],[2,3,6,9,10,13,14],[2,3,7,10,11,12,14],[2,4,5,6,9,13,14],[2,4,5,7,8,10,14],[2,4,6,8,10,12,13],[2,5,8,9,11,12,13],[2,6,7,9,10,11,12],[3,4,5,9,10,11,14],[3,4,7,8,9,12,13],[3,4,7,8,11,13,14],[3,5,6,7,8,10,12],[3,5,6,7,9,11,13],[4,5,6,8,11,12,14]]; G[9234]:=Group([(1,6)(2,5)(4,7)(9,12)]); # Design 9235: autom. group order 2, simple, residual B[9235]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,7,12,13,14],[1,2,7,8,9,10,12],[1,3,5,9,10,12,14],[1,3,6,8,9,13,14],[1,4,5,8,11,13,14],[1,4,6,7,9,13,14],[1,4,6,7,10,11,12],[1,5,7,9,10,11,13],[1,6,8,10,11,12,14],[2,3,6,10,12,13,14],[2,3,7,10,11,13,14],[2,4,5,6,9,12,14],[2,4,5,7,8,10,14],[2,4,6,9,10,11,13],[2,5,8,9,11,12,13],[2,6,7,8,9,11,14],[3,4,5,9,10,11,14],[3,4,7,8,9,12,13],[3,4,7,8,11,12,14],[3,5,6,7,8,10,13],[3,5,6,7,9,11,12],[4,5,6,8,10,12,13]]; G[9235]:=Group([(1,6)(2,5)(4,7)(9,13)]); # Design 9236: autom. group order 2, simple, residual B[9236]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,7,12,13,14],[1,2,7,8,9,11,14],[1,3,5,9,10,12,14],[1,3,6,8,9,13,14],[1,4,5,8,10,12,13],[1,4,6,7,9,13,14],[1,4,6,7,10,11,12],[1,5,7,9,10,11,13],[1,6,8,10,11,12,14],[2,3,6,10,12,13,14],[2,3,7,10,11,13,14],[2,4,5,6,9,12,14],[2,4,5,7,8,10,14],[2,4,6,9,10,11,13],[2,5,8,9,11,12,13],[2,6,7,8,9,10,12],[3,4,5,9,10,11,14],[3,4,7,8,9,12,13],[3,4,7,8,11,12,14],[3,5,6,7,8,10,13],[3,5,6,7,9,11,12],[4,5,6,8,11,13,14]]; G[9236]:=Group([(1,6)(2,5)(4,7)(9,13)]); # Design 9237: autom. group order 2, simple, residual B[9237]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,8,9,11],[1,2,7,10,11,12,14],[1,3,5,9,11,13,14],[1,3,6,9,10,11,12],[1,4,5,9,10,12,14],[1,4,6,7,8,13,14],[1,4,6,7,9,12,13],[1,5,7,8,10,12,13],[1,6,8,10,11,13,14],[2,3,6,8,10,12,13],[2,3,7,9,10,13,14],[2,4,5,6,10,12,14],[2,4,5,7,10,11,13],[2,4,6,9,11,13,14],[2,5,8,9,12,13,14],[2,6,7,8,9,11,12],[3,4,5,8,11,12,13],[3,4,7,8,9,12,14],[3,4,7,8,10,11,14],[3,5,6,7,9,10,13],[3,5,6,7,11,12,14],[4,5,6,8,9,10,11]]; G[9237]:=Group([(1,6)(2,5)(4,7)(8,14)(9,12)(10,11)]); # Design 9238: autom. group order 2, simple, residual B[9238]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,8,9,11],[1,2,7,10,11,12,14],[1,3,5,9,10,13,14],[1,3,6,9,10,11,12],[1,4,5,9,12,13,14],[1,4,6,7,8,13,14],[1,4,6,7,10,11,13],[1,5,7,8,10,12,13],[1,6,8,9,11,12,14],[2,3,6,8,10,12,13],[2,3,7,9,11,13,14],[2,4,5,6,11,12,14],[2,4,5,7,9,10,12],[2,4,6,9,10,13,14],[2,5,8,10,11,13,14],[2,6,7,8,9,12,13],[3,4,5,8,11,12,13],[3,4,7,8,9,12,14],[3,4,7,8,10,11,14],[3,5,6,7,9,11,13],[3,5,6,7,10,12,14],[4,5,6,8,9,10,11]]; G[9238]:=Group([(1,6)(2,5)(4,7)(8,14)(9,12)]); # Design 9239: autom. group order 2, simple, residual B[9239]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,8,9,11],[1,2,7,10,12,13,14],[1,3,5,9,10,12,14],[1,3,6,9,10,11,13],[1,4,5,9,12,13,14],[1,4,6,7,8,12,14],[1,4,6,7,10,11,12],[1,5,7,8,10,11,13],[1,6,8,9,11,13,14],[2,3,6,8,10,12,13],[2,3,7,9,11,12,14],[2,4,5,6,11,13,14],[2,4,5,7,9,10,13],[2,4,6,9,10,11,14],[2,5,8,10,11,12,14],[2,6,7,8,9,12,13],[3,4,5,8,11,12,13],[3,4,7,8,9,13,14],[3,4,7,8,10,11,14],[3,5,6,7,9,11,12],[3,5,6,7,10,13,14],[4,5,6,8,9,10,12]]; G[9239]:=Group([(1,6)(2,5)(4,7)(8,14)(9,13)]); # Design 9240: autom. group order 2, simple, residual B[9240]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,8,9,11],[1,2,7,10,11,12,14],[1,3,5,9,11,13,14],[1,3,6,9,10,11,12],[1,4,5,9,10,12,14],[1,4,6,7,8,13,14],[1,4,6,7,10,11,13],[1,5,7,8,10,12,13],[1,6,8,9,12,13,14],[2,3,6,8,10,12,13],[2,3,7,9,10,13,14],[2,4,5,6,10,12,14],[2,4,5,7,9,12,13],[2,4,6,9,11,13,14],[2,5,8,10,11,13,14],[2,6,7,8,9,11,12],[3,4,5,8,11,12,13],[3,4,7,8,9,12,14],[3,4,7,8,10,11,14],[3,5,6,7,9,10,13],[3,5,6,7,11,12,14],[4,5,6,8,9,10,11]]; G[9240]:=Group([(1,6)(2,5)(4,7)(8,14)(9,12)(10,11)]); # Design 9241: autom. group order 2, simple, residual B[9241]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,8,9,11],[1,2,7,10,11,12,14],[1,3,5,9,10,13,14],[1,3,6,9,10,11,12],[1,4,5,10,11,13,14],[1,4,6,7,8,13,14],[1,4,6,7,9,12,13],[1,5,7,8,10,12,13],[1,6,8,9,11,12,14],[2,3,6,8,10,12,13],[2,3,7,9,11,13,14],[2,4,5,6,11,12,14],[2,4,5,7,9,10,12],[2,4,6,9,10,13,14],[2,5,8,9,12,13,14],[2,6,7,8,10,11,13],[3,4,5,8,11,12,13],[3,4,7,8,9,12,14],[3,4,7,8,10,11,14],[3,5,6,7,9,11,13],[3,5,6,7,10,12,14],[4,5,6,8,9,10,11]]; G[9241]:=Group([(1,6)(2,5)(4,7)(8,14)(9,12)]); # Design 9242: autom. group order 2, simple, residual B[9242]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,8,11,12],[1,2,7,9,11,13,14],[1,3,5,9,12,13,14],[1,3,6,9,10,11,12],[1,4,5,9,10,11,14],[1,4,6,7,8,13,14],[1,4,6,7,10,12,13],[1,5,7,8,9,10,13],[1,6,8,10,11,12,14],[2,3,6,8,9,10,13],[2,3,7,10,11,13,14],[2,4,5,6,10,11,14],[2,4,5,7,9,10,12],[2,4,6,9,12,13,14],[2,5,8,10,12,13,14],[2,6,7,8,9,11,12],[3,4,5,8,11,12,13],[3,4,7,8,9,11,14],[3,4,7,8,10,12,14],[3,5,6,7,9,12,14],[3,5,6,7,10,11,13],[4,5,6,8,9,11,13]]; G[9242]:=Group([(1,6)(2,5)(4,7)(8,14)(10,12)]); # Design 9243: autom. group order 2, simple, residual B[9243]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,8,11,12],[1,2,7,9,11,13,14],[1,3,5,10,11,13,14],[1,3,6,9,10,11,12],[1,4,5,9,10,12,14],[1,4,6,7,8,13,14],[1,4,6,7,10,12,13],[1,5,7,8,9,10,13],[1,6,8,9,11,12,14],[2,3,6,8,9,10,13],[2,3,7,9,12,13,14],[2,4,5,6,9,12,14],[2,4,5,7,9,10,11],[2,4,6,10,11,13,14],[2,5,8,10,12,13,14],[2,6,7,8,10,11,12],[3,4,5,8,11,12,13],[3,4,7,8,9,11,14],[3,4,7,8,10,12,14],[3,5,6,7,9,12,13],[3,5,6,7,10,11,14],[4,5,6,8,9,11,13]]; G[9243]:=Group([(1,6)(2,5)(4,7)(8,14)(9,11)]); # Design 9244: autom. group order 2, simple, residual B[9244]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,14],[1,2,7,10,12,13,14],[1,3,5,10,11,12,14],[1,3,6,7,8,11,13],[1,4,5,7,9,10,13],[1,4,6,9,10,11,12],[1,4,7,8,12,13,14],[1,5,6,8,9,12,13],[1,6,8,9,10,11,14],[2,3,6,7,9,10,12],[2,3,8,9,11,12,13],[2,4,5,6,10,11,13],[2,4,5,8,9,12,14],[2,4,6,8,10,13,14],[2,5,7,8,10,11,12],[2,6,7,9,11,13,14],[3,4,5,9,11,13,14],[3,4,6,7,9,12,14],[3,4,7,8,10,11,14],[3,5,6,10,12,13,14],[3,5,7,8,9,10,13],[4,5,6,7,8,11,12]]; G[9244]:=Group([(2,10)(3,9)(5,11)(7,12)]); # Design 9245: autom. group order 2, simple, residual B[9245]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,7,8,10,13,14],[1,3,5,9,10,11,13],[1,3,6,7,9,11,14],[1,4,5,7,8,12,13],[1,4,6,9,10,12,13],[1,4,7,8,10,11,14],[1,5,6,10,11,12,14],[1,6,8,9,12,13,14],[2,3,6,7,10,12,13],[2,3,8,11,12,13,14],[2,4,5,6,10,12,14],[2,4,5,9,11,13,14],[2,4,6,8,9,10,11],[2,5,7,9,10,13,14],[2,6,7,8,9,11,12],[3,4,5,8,9,12,14],[3,4,6,7,9,13,14],[3,4,7,10,11,12,14],[3,5,6,8,10,11,13],[3,5,7,8,9,10,12],[4,5,6,7,8,11,13]]; G[9245]:=Group([(2,13)(3,12)(5,9)(7,10)]); # Design 9246: autom. group order 2, simple, residual B[9246]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,10,11],[1,2,7,8,9,12,13],[1,3,5,8,11,12,13],[1,3,6,7,10,12,14],[1,4,5,7,9,11,14],[1,4,6,9,12,13,14],[1,4,7,8,10,12,14],[1,5,6,10,11,13,14],[1,6,8,9,10,11,13],[2,3,6,9,11,12,14],[2,3,7,10,11,13,14],[2,4,5,6,10,12,13],[2,4,5,8,10,13,14],[2,4,6,8,9,11,14],[2,5,7,9,12,13,14],[2,6,7,8,10,11,12],[3,4,5,9,10,11,12],[3,4,6,7,9,10,13],[3,4,7,8,11,13,14],[3,5,6,7,8,9,13],[3,5,8,9,10,12,14],[4,5,6,7,8,11,12]]; G[9246]:=Group([(1,9)(2,10)(6,12)(7,11)]); # Design 9247: autom. group order 2, simple, residual B[9247]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,7,8,12,14],[1,2,7,9,10,11,14],[1,3,5,9,10,12,13],[1,3,6,7,12,13,14],[1,4,5,9,11,13,14],[1,4,6,7,9,10,12],[1,4,7,8,10,11,13],[1,5,6,8,9,13,14],[1,6,8,10,11,12,14],[2,3,6,9,10,11,14],[2,3,7,8,9,13,14],[2,4,5,6,10,12,14],[2,4,5,7,10,13,14],[2,4,6,8,9,12,13],[2,5,8,10,11,12,13],[2,6,7,9,11,12,13],[3,4,5,9,11,12,14],[3,4,6,8,10,13,14],[3,4,7,8,11,12,14],[3,5,6,7,10,11,13],[3,5,7,8,9,10,12],[4,5,6,7,8,9,11]]; G[9247]:=Group([(1,13)(3,12)(4,11)(5,9)]); # Design 9248: autom. group order 2, simple B[9248]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,7,8,12,14],[1,2,7,9,10,11,14],[1,3,5,9,10,12,13],[1,3,6,7,12,13,14],[1,4,5,9,11,13,14],[1,4,6,7,10,11,13],[1,4,7,8,9,10,12],[1,5,6,8,9,13,14],[1,6,8,10,11,12,14],[2,3,6,9,10,11,14],[2,3,7,8,9,13,14],[2,4,5,6,10,12,14],[2,4,5,7,10,13,14],[2,4,6,8,9,12,13],[2,5,8,10,11,12,13],[2,6,7,9,11,12,13],[3,4,5,9,11,12,14],[3,4,6,8,10,13,14],[3,4,7,8,11,12,14],[3,5,6,7,9,10,12],[3,5,7,8,10,11,13],[4,5,6,7,8,9,11]]; G[9248]:=Group([(1,13)(3,12)(4,11)(5,9)]); # Design 9249: autom. group order 2, simple B[9249]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,10,11],[1,2,7,8,12,13,14],[1,3,5,9,11,12,13],[1,3,6,7,9,11,14],[1,4,5,10,12,13,14],[1,4,6,8,9,10,12],[1,4,7,8,9,13,14],[1,5,6,10,11,13,14],[1,6,7,8,10,11,12],[2,3,6,7,10,12,13],[2,3,8,10,11,12,14],[2,4,5,6,9,12,14],[2,4,5,7,8,11,13],[2,4,6,9,10,11,13],[2,5,7,9,10,12,14],[2,6,8,9,11,13,14],[3,4,5,8,10,11,14],[3,4,6,7,10,13,14],[3,4,7,9,11,12,14],[3,5,6,8,9,12,13],[3,5,7,8,9,10,13],[4,5,6,7,8,11,12]]; G[9249]:=Group([(1,11)(3,13)(5,9)(7,10)]); # Design 9250: autom. group order 2, simple, residual B[9250]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,7,8,12,14],[1,2,7,9,10,11,14],[1,3,5,9,12,13,14],[1,3,6,10,12,13,14],[1,4,5,7,9,11,13],[1,4,6,7,9,10,12],[1,4,8,10,11,13,14],[1,5,6,8,9,10,13],[1,6,7,8,11,12,14],[2,3,6,9,10,11,14],[2,3,7,8,9,13,14],[2,4,5,6,10,12,14],[2,4,5,7,10,13,14],[2,4,6,8,9,12,13],[2,5,8,10,11,12,13],[2,6,7,9,11,12,13],[3,4,5,9,11,12,14],[3,4,6,7,8,13,14],[3,4,7,8,10,11,12],[3,5,6,7,10,11,13],[3,5,7,8,9,10,12],[4,5,6,8,9,11,14]]; G[9250]:=Group([(1,13)(3,12)(4,11)(5,9)]); # Design 9251: autom. group order 2, simple B[9251]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,7,8,11,13,14],[1,3,5,9,10,13,14],[1,3,6,10,11,12,13],[1,4,5,7,9,12,14],[1,4,6,9,11,13,14],[1,4,7,8,10,13,14],[1,5,6,8,10,11,12],[1,6,7,8,9,10,12],[2,3,6,7,9,10,13],[2,3,8,9,11,12,14],[2,4,5,6,10,11,14],[2,4,5,9,10,12,13],[2,4,6,7,8,12,13],[2,5,8,10,12,13,14],[2,6,7,9,10,11,14],[3,4,5,7,8,10,11],[3,4,6,8,9,12,14],[3,4,7,10,11,12,14],[3,5,6,7,12,13,14],[3,5,7,8,9,11,13],[4,5,6,8,9,11,13]]; G[9251]:=Group([(1,12)(3,13)(6,10)(7,9)]); # Design 9252: autom. group order 2, simple B[9252]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,7,8,11,13,14],[1,3,5,9,10,13,14],[1,3,6,10,11,12,13],[1,4,5,7,9,12,14],[1,4,6,8,9,13,14],[1,4,7,10,11,13,14],[1,5,6,8,10,11,12],[1,6,7,8,9,10,12],[2,3,6,7,9,10,13],[2,3,8,9,11,12,14],[2,4,5,6,10,11,14],[2,4,5,9,10,12,13],[2,4,6,7,8,12,13],[2,5,8,10,12,13,14],[2,6,7,9,10,11,14],[3,4,5,7,8,10,11],[3,4,6,9,11,12,14],[3,4,7,8,10,12,14],[3,5,6,7,12,13,14],[3,5,7,8,9,11,13],[4,5,6,8,9,11,13]]; G[9252]:=Group([(1,12)(3,13)(6,10)(7,9)]); # Design 9253: autom. group order 2, simple, residual B[9253]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,10,11],[1,2,7,8,12,13,14],[1,3,5,9,11,12,13],[1,3,6,9,10,12,14],[1,4,5,10,12,13,14],[1,4,6,7,10,11,14],[1,4,7,8,9,12,14],[1,5,6,8,9,11,13],[1,6,7,8,10,11,13],[2,3,6,7,10,12,13],[2,3,8,10,11,13,14],[2,4,5,6,9,13,14],[2,4,5,7,8,11,12],[2,4,6,9,10,11,12],[2,5,7,9,10,13,14],[2,6,8,9,11,12,14],[3,4,5,8,10,11,14],[3,4,6,7,8,9,13],[3,4,7,9,11,13,14],[3,5,6,7,11,12,14],[3,5,7,8,9,10,12],[4,5,6,8,10,12,13]]; G[9253]:=Group([(1,11)(3,12)(5,9)(7,10)]); # Design 9254: autom. group order 2, simple B[9254]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,7,8,12,14],[1,2,7,9,10,11,14],[1,3,5,9,12,13,14],[1,3,6,10,12,13,14],[1,4,5,9,11,13,14],[1,4,6,7,9,10,12],[1,4,7,8,10,11,13],[1,5,6,8,9,10,13],[1,6,7,8,11,12,14],[2,3,6,9,10,11,14],[2,3,7,8,9,13,14],[2,4,5,6,10,12,14],[2,4,5,7,10,13,14],[2,4,6,8,9,12,13],[2,5,8,10,11,12,13],[2,6,7,9,11,12,13],[3,4,5,7,9,11,12],[3,4,6,7,8,13,14],[3,4,8,10,11,12,14],[3,5,6,7,10,11,13],[3,5,7,8,9,10,12],[4,5,6,8,9,11,14]]; G[9254]:=Group([(1,13)(3,12)(4,11)(5,9)]); # Design 9255: autom. group order 2, simple, residual B[9255]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,8,11,12,13,14],[1,3,5,9,10,13,14],[1,3,6,7,10,11,13],[1,4,5,7,10,11,14],[1,4,6,8,10,12,14],[1,4,7,9,12,13,14],[1,5,6,8,9,11,13],[1,6,7,8,9,10,12],[2,3,6,9,10,12,13],[2,3,7,8,9,11,14],[2,4,5,6,9,12,14],[2,4,5,7,8,10,13],[2,4,6,10,11,13,14],[2,5,7,8,10,12,13],[2,6,7,9,10,11,14],[3,4,5,9,10,11,12],[3,4,6,7,8,11,12],[3,4,7,8,9,13,14],[3,5,6,7,12,13,14],[3,5,8,10,11,12,14],[4,5,6,8,9,11,13]]; G[9255]:=Group([(1,12)(2,11)(6,10)(7,9)]); # Design 9256: autom. group order 2, simple, residual B[9256]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,11,12,14],[1,2,7,9,10,11,13],[1,3,5,7,10,13,14],[1,3,6,7,9,12,13],[1,4,5,8,9,12,13],[1,4,6,9,10,11,14],[1,4,7,8,10,12,14],[1,5,6,7,8,10,11],[1,6,8,11,12,13,14],[2,3,6,9,10,12,14],[2,3,8,10,11,13,14],[2,4,5,6,10,12,13],[2,4,5,7,11,13,14],[2,4,6,7,8,9,11],[2,5,7,8,9,12,14],[2,6,7,8,10,12,13],[3,4,5,8,10,11,12],[3,4,6,7,11,12,14],[3,4,7,8,9,13,14],[3,5,6,8,9,11,13],[3,5,7,9,10,11,12],[4,5,6,9,10,13,14]]; G[9256]:=Group([(1,11)(2,12)(6,10)(7,8)(9,14)]); # Design 9257: autom. group order 2, simple B[9257]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,11,12,14],[1,2,7,8,11,12,13],[1,3,5,7,10,13,14],[1,3,6,7,9,11,13],[1,4,5,9,12,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,11,14],[1,5,6,7,8,10,12],[1,6,8,9,10,11,13],[2,3,6,9,10,11,14],[2,3,8,10,12,13,14],[2,4,5,6,10,11,13],[2,4,5,7,9,10,13],[2,4,6,7,8,9,12],[2,5,7,8,9,11,14],[2,6,7,10,12,13,14],[3,4,5,8,10,11,12],[3,4,6,7,11,12,14],[3,4,7,8,9,13,14],[3,5,6,8,9,12,13],[3,5,7,9,10,11,12],[4,5,6,8,11,13,14]]; G[9257]:=Group([(1,12)(2,11)(6,10)(7,8)(9,14)]); # Design 9258: autom. group order 2, simple, residual B[9258]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,11,12,13],[1,2,7,8,11,12,14],[1,3,5,7,9,10,13],[1,3,6,7,11,13,14],[1,4,5,9,10,11,14],[1,4,6,8,10,11,13],[1,4,7,8,9,12,14],[1,5,6,7,8,10,12],[1,6,9,10,12,13,14],[2,3,6,9,10,11,14],[2,3,8,10,12,13,14],[2,4,5,6,9,12,14],[2,4,5,7,10,13,14],[2,4,6,7,10,12,13],[2,5,7,8,9,11,13],[2,6,7,8,9,10,11],[3,4,5,8,10,11,12],[3,4,6,7,9,11,12],[3,4,7,8,9,13,14],[3,5,6,8,9,12,13],[3,5,7,10,11,12,14],[4,5,6,8,11,13,14]]; G[9258]:=Group([(1,12)(2,11)(6,10)(7,8)]); # Design 9259: autom. group order 2, simple, residual B[9259]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,11,12,14],[1,2,7,9,10,13,14],[1,3,5,7,8,10,13],[1,3,6,9,11,13,14],[1,4,5,8,9,12,13],[1,4,6,7,10,12,14],[1,4,8,10,11,12,14],[1,5,6,7,11,12,13],[1,6,7,8,9,10,11],[2,3,6,10,12,13,14],[2,3,7,8,9,11,12],[2,4,5,6,9,10,12],[2,4,5,7,10,11,13],[2,4,6,7,8,11,14],[2,5,8,10,11,13,14],[2,6,7,8,9,12,13],[3,4,5,7,9,11,14],[3,4,6,9,10,11,13],[3,4,7,8,12,13,14],[3,5,6,8,10,11,12],[3,5,7,9,10,12,14],[4,5,6,8,9,13,14]]; G[9259]:=Group([(1,10)(3,13)(4,14)(6,11)(7,8)]); # Design 9260: autom. group order 2, simple, residual B[9260]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,14],[1,2,8,9,12,13,14],[1,3,5,7,11,12,14],[1,3,6,7,9,10,12],[1,4,5,7,10,11,13],[1,4,6,8,9,11,13],[1,4,7,8,10,12,14],[1,5,6,8,10,12,13],[1,6,7,9,11,13,14],[2,3,7,8,11,12,13],[2,3,7,9,10,13,14],[2,4,5,6,12,13,14],[2,4,5,7,8,9,11],[2,4,6,7,10,13,14],[2,5,6,9,10,11,12],[2,6,7,8,10,11,12],[3,4,5,9,10,12,13],[3,4,6,8,10,11,14],[3,4,6,9,11,12,14],[3,5,6,7,8,9,13],[3,5,8,10,11,13,14],[4,5,7,8,9,12,14]]; G[9260]:=Group([(2,11)(3,13)(5,9)(7,8)]); # Design 9261: autom. group order 2, simple B[9261]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,14],[1,2,8,9,12,13,14],[1,3,5,7,11,12,14],[1,3,6,7,9,10,12],[1,4,5,7,10,11,13],[1,4,6,8,9,11,13],[1,4,7,8,10,12,14],[1,5,6,8,10,12,13],[1,6,7,9,11,13,14],[2,3,7,8,11,12,13],[2,3,7,9,10,13,14],[2,4,5,6,12,13,14],[2,4,5,9,10,11,12],[2,4,6,7,10,13,14],[2,5,6,7,8,9,11],[2,6,7,8,10,11,12],[3,4,5,7,8,9,13],[3,4,6,8,10,11,14],[3,4,6,9,11,12,14],[3,5,6,9,10,12,13],[3,5,8,10,11,13,14],[4,5,7,8,9,12,14]]; G[9261]:=Group([(2,11)(3,13)(5,9)(7,8)]); # Design 9262: autom. group order 2, simple, residual B[9262]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,7,9,12,14],[1,2,7,8,10,13,14],[1,3,5,9,12,13,14],[1,3,7,9,10,11,13],[1,4,5,6,10,13,14],[1,4,6,7,10,11,12],[1,4,8,9,11,13,14],[1,5,6,8,9,10,12],[1,6,7,8,11,12,14],[2,3,6,9,10,11,14],[2,3,7,8,10,12,14],[2,4,5,7,9,11,14],[2,4,5,8,10,12,13],[2,4,6,7,9,12,13],[2,5,6,10,11,13,14],[2,6,8,9,11,12,13],[3,4,5,8,11,12,14],[3,4,6,7,8,13,14],[3,4,6,9,10,12,14],[3,5,6,7,8,9,13],[3,5,7,10,11,12,13],[4,5,7,8,9,10,11]]; G[9262]:=Group([(1,12)(3,13)(5,9)]); # Design 9263: autom. group order 2, simple, residual B[9263]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,10,11],[1,2,7,8,9,12,13],[1,3,5,8,11,12,14],[1,3,7,9,11,13,14],[1,4,5,6,10,11,13],[1,4,6,9,12,13,14],[1,4,7,8,10,12,14],[1,5,6,7,10,12,13],[1,6,8,9,10,11,14],[2,3,6,10,12,13,14],[2,3,7,10,11,13,14],[2,4,5,7,9,12,14],[2,4,5,8,10,13,14],[2,4,6,8,9,11,13],[2,5,6,9,11,12,14],[2,6,7,8,10,11,12],[3,4,5,9,10,11,12],[3,4,6,7,8,11,12],[3,4,6,7,9,10,14],[3,5,6,7,8,9,13],[3,5,8,9,10,12,13],[4,5,7,8,11,13,14]]; G[9263]:=Group([(1,9)(2,10)(6,12)(7,11)(13,14)]); # Design 9264: autom. group order 2, simple B[9264]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,7,8,9,11,14],[1,3,5,9,10,13,14],[1,3,7,10,11,13,14],[1,4,5,6,12,13,14],[1,4,6,8,10,11,14],[1,4,7,8,9,12,13],[1,5,6,7,10,11,12],[1,6,8,9,10,12,13],[2,3,6,8,11,12,13],[2,3,7,10,12,13,14],[2,4,5,8,10,11,13],[2,4,5,9,10,12,14],[2,4,6,7,9,13,14],[2,5,6,9,10,11,13],[2,6,7,8,10,12,14],[3,4,5,7,8,10,12],[3,4,6,7,9,10,11],[3,4,6,9,11,12,14],[3,5,6,7,8,9,13],[3,5,8,9,11,12,14],[4,5,7,8,11,13,14]]; G[9264]:=Group([(2,12)(3,13)(5,9)(6,8)(10,14)]); # Design 9265: autom. group order 2, simple, residual B[9265]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,11,12,14],[1,2,7,8,9,10,11],[1,3,5,7,8,12,13],[1,3,7,9,11,13,14],[1,4,5,6,10,11,13],[1,4,6,9,12,13,14],[1,4,7,8,10,12,14],[1,5,6,7,9,10,13],[1,6,8,10,11,12,14],[2,3,6,10,12,13,14],[2,3,7,10,11,13,14],[2,4,5,7,9,12,14],[2,4,5,8,10,13,14],[2,4,6,8,9,11,13],[2,5,6,7,10,11,12],[2,6,7,8,9,12,13],[3,4,5,9,10,11,12],[3,4,6,7,8,11,12],[3,4,6,7,9,10,14],[3,5,6,8,9,11,14],[3,5,8,9,10,12,13],[4,5,7,8,11,13,14]]; G[9265]:=Group([(1,9)(2,10)(6,12)(7,11)(13,14)]); # Design 9266: autom. group order 2, simple, residual B[9266]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,11,12,14],[1,2,7,10,11,13,14],[1,3,5,7,9,10,13],[1,3,8,10,12,13,14],[1,4,5,6,9,12,13],[1,4,6,7,10,12,14],[1,4,7,8,9,11,14],[1,5,6,7,8,10,11],[1,6,8,9,11,12,13],[2,3,6,7,9,11,13],[2,3,7,8,9,12,14],[2,4,5,7,8,12,13],[2,4,5,10,11,13,14],[2,4,6,8,9,10,11],[2,5,6,9,10,12,14],[2,6,7,8,10,12,13],[3,4,5,8,10,11,12],[3,4,6,7,11,12,14],[3,4,6,9,10,13,14],[3,5,6,8,11,13,14],[3,5,7,9,10,11,12],[4,5,7,8,9,13,14]]; G[9266]:=Group([(1,11)(2,12)(6,10)(7,8)(9,14)]); # Design 9267: autom. group order 2, simple, residual B[9267]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,11,12,14],[1,2,7,10,11,13,14],[1,3,5,7,9,10,13],[1,3,8,10,12,13,14],[1,4,5,6,9,12,13],[1,4,6,7,8,10,11],[1,4,7,8,9,11,14],[1,5,6,7,10,12,14],[1,6,8,9,11,12,13],[2,3,6,7,9,11,13],[2,3,7,8,9,12,14],[2,4,5,7,8,12,13],[2,4,5,10,11,13,14],[2,4,6,9,10,12,14],[2,5,6,8,9,10,11],[2,6,7,8,10,12,13],[3,4,5,8,10,11,12],[3,4,6,7,11,12,14],[3,4,6,9,10,13,14],[3,5,6,8,11,13,14],[3,5,7,9,10,11,12],[4,5,7,8,9,13,14]]; G[9267]:=Group([(1,11)(2,12)(6,10)(7,8)(9,14)]); # Design 9268: autom. group order 2, simple, residual B[9268]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,7,9,12,14],[1,2,7,8,10,11,14],[1,3,5,7,10,12,13],[1,3,8,9,12,13,14],[1,4,5,10,11,13,14],[1,4,6,7,9,10,12],[1,4,6,9,11,13,14],[1,5,6,8,9,10,13],[1,6,7,8,11,12,14],[2,3,6,9,10,11,14],[2,3,7,9,10,13,14],[2,4,5,6,9,12,14],[2,4,5,7,8,13,14],[2,4,6,8,10,12,13],[2,5,8,9,11,12,13],[2,6,7,10,11,12,13],[3,4,5,10,11,12,14],[3,4,6,7,8,13,14],[3,4,7,8,9,11,12],[3,5,6,7,9,11,13],[3,5,6,8,10,12,14],[4,5,7,8,9,10,11]]; G[9268]:=Group([(1,13)(3,12)(4,11)(5,10)]); # Design 9269: autom. group order 2, simple, residual B[9269]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,14],[1,2,7,8,12,13,14],[1,3,5,7,9,10,12],[1,3,8,9,11,12,13],[1,4,5,10,12,13,14],[1,4,6,7,8,10,11],[1,4,6,9,10,12,14],[1,5,6,9,11,13,14],[1,6,7,8,10,11,13],[2,3,6,10,11,13,14],[2,3,7,10,11,12,14],[2,4,5,6,8,12,13],[2,4,5,9,10,11,13],[2,4,6,7,9,11,12],[2,5,7,8,9,10,13],[2,6,8,9,10,12,14],[3,4,5,8,10,11,14],[3,4,6,7,9,13,14],[3,4,7,8,9,13,14],[3,5,6,7,10,12,13],[3,5,6,8,9,11,12],[4,5,7,8,11,12,14]]; G[9269]:=Group([(1,9)(3,10)(4,8)(6,13)(11,14)]); # Design 9270: autom. group order 2, simple B[9270]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,7,9,12,14],[1,2,7,8,10,11,14],[1,3,5,10,12,13,14],[1,3,7,8,9,12,13],[1,4,5,10,11,13,14],[1,4,6,7,9,10,12],[1,4,6,9,11,13,14],[1,5,6,8,9,10,13],[1,6,7,8,11,12,14],[2,3,6,9,10,11,14],[2,3,7,9,10,13,14],[2,4,5,6,9,12,14],[2,4,5,7,8,13,14],[2,4,6,8,10,12,13],[2,5,8,9,11,12,13],[2,6,7,10,11,12,13],[3,4,5,7,10,11,12],[3,4,6,7,8,13,14],[3,4,8,9,11,12,14],[3,5,6,7,9,11,13],[3,5,6,8,10,12,14],[4,5,7,8,9,10,11]]; G[9270]:=Group([(1,13)(3,12)(4,11)(5,10)]); # Design 9271: autom. group order 2, simple, residual B[9271]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,8,9,10,11,14],[1,3,5,8,10,12,13],[1,3,7,9,10,13,14],[1,4,5,7,9,12,14],[1,4,6,7,8,11,13],[1,4,6,10,12,13,14],[1,5,6,10,11,12,14],[1,6,7,8,9,11,13],[2,3,6,7,10,11,14],[2,3,7,11,12,13,14],[2,4,5,6,9,13,14],[2,4,5,9,10,11,13],[2,4,6,7,8,10,12],[2,5,7,8,10,12,13],[2,6,8,9,12,13,14],[3,4,5,8,11,13,14],[3,4,6,9,10,11,12],[3,4,7,8,9,12,14],[3,5,6,7,9,10,13],[3,5,6,8,9,11,12],[4,5,7,8,10,11,14]]; G[9271]:=Group([(1,6)(2,12)(3,10)(5,14)(7,13)(8,11)]); # Design 9272: autom. group order 2, simple B[9272]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,11,12,14],[1,2,7,9,11,13,14],[1,3,5,7,9,10,12],[1,3,8,10,12,13,14],[1,4,5,7,8,10,11],[1,4,6,8,9,11,14],[1,4,6,10,12,13,14],[1,5,6,7,9,12,13],[1,6,7,8,10,11,13],[2,3,6,7,10,11,14],[2,3,7,8,11,12,13],[2,4,5,6,8,12,13],[2,4,5,7,10,13,14],[2,4,6,9,10,11,12],[2,5,8,9,10,13,14],[2,6,7,8,9,10,12],[3,4,5,9,10,11,13],[3,4,6,7,9,13,14],[3,4,7,8,9,12,14],[3,5,6,8,9,11,13],[3,5,6,10,11,12,14],[4,5,7,8,11,12,14]]; G[9272]:=Group([(1,9)(3,10)(4,8)(5,12)(11,14)]); # Design 9273: autom. group order 2, simple, residual B[9273]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,7,8,9,10,13],[1,3,5,8,11,13,14],[1,3,7,9,12,13,14],[1,4,5,7,10,11,14],[1,4,6,8,10,12,13],[1,4,6,9,11,12,14],[1,5,6,9,10,13,14],[1,6,7,8,10,11,12],[2,3,6,10,11,12,14],[2,3,7,10,12,13,14],[2,4,5,6,9,12,13],[2,4,5,8,10,12,14],[2,4,7,8,9,11,14],[2,5,6,7,10,11,13],[2,6,8,9,11,13,14],[3,4,5,9,10,11,13],[3,4,6,7,8,11,13],[3,4,6,7,9,10,14],[3,5,6,7,8,9,12],[3,5,8,9,10,11,12],[4,5,7,8,12,13,14]]; G[9273]:=Group([(1,9)(2,10)(6,11)(7,13)(12,14)]); # Design 9274: autom. group order 2, simple, residual B[9274]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,7,9,12,14],[1,2,7,8,10,13,14],[1,3,5,9,12,13,14],[1,3,7,10,11,12,13],[1,4,5,8,10,13,14],[1,4,6,7,9,10,11],[1,4,6,9,11,13,14],[1,5,6,8,9,10,12],[1,6,7,8,11,12,14],[2,3,6,7,10,12,14],[2,3,8,9,10,11,14],[2,4,5,6,10,12,13],[2,4,5,7,9,11,14],[2,4,7,8,9,12,13],[2,5,6,10,11,13,14],[2,6,8,9,11,12,13],[3,4,5,8,11,12,14],[3,4,6,7,8,13,14],[3,4,6,9,10,12,14],[3,5,6,7,8,9,13],[3,5,7,9,10,11,13],[4,5,7,8,10,11,12]]; G[9274]:=Group([(1,12)(3,13)(5,9)(6,8)]); # Design 9275: autom. group order 2, simple, residual B[9275]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,7,9,12,14],[1,2,7,8,10,13,14],[1,3,5,9,10,12,13],[1,3,7,11,12,13,14],[1,4,5,8,10,13,14],[1,4,6,7,9,10,11],[1,4,6,8,11,12,14],[1,5,6,8,9,12,14],[1,6,7,9,10,11,13],[2,3,6,7,10,12,14],[2,3,8,9,10,11,14],[2,4,5,6,10,12,13],[2,4,5,7,9,11,14],[2,4,7,8,9,12,13],[2,5,6,10,11,13,14],[2,6,8,9,11,12,13],[3,4,5,9,11,13,14],[3,4,6,7,8,13,14],[3,4,6,9,10,12,14],[3,5,6,7,8,9,13],[3,5,7,8,10,11,12],[4,5,7,8,10,11,12]]; G[9275]:=Group([(1,12)(3,13)(5,9)(6,8)]); # Design 9276: autom. group order 2, simple, residual B[9276]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,7,9,12,14],[1,2,7,8,10,13,14],[1,3,5,9,10,12,13],[1,3,7,11,12,13,14],[1,4,5,8,11,13,14],[1,4,6,7,9,10,11],[1,4,6,8,10,12,14],[1,5,6,8,9,12,14],[1,6,7,9,10,11,13],[2,3,6,7,10,12,14],[2,3,8,9,10,11,14],[2,4,5,6,10,12,13],[2,4,5,7,9,11,14],[2,4,7,8,9,12,13],[2,5,6,10,11,13,14],[2,6,8,9,11,12,13],[3,4,5,9,10,13,14],[3,4,6,7,8,13,14],[3,4,6,9,11,12,14],[3,5,6,7,8,9,13],[3,5,7,8,10,11,12],[4,5,7,8,10,11,12]]; G[9276]:=Group([(1,12)(3,13)(5,9)(6,8)]); # Design 9277: autom. group order 2, simple, residual B[9277]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,7,9,10,12],[1,2,7,8,12,13,14],[1,3,5,9,12,13,14],[1,3,7,8,9,11,14],[1,4,5,10,11,13,14],[1,4,6,7,10,12,14],[1,4,6,8,9,12,13],[1,5,6,8,10,11,14],[1,6,7,9,10,11,13],[2,3,6,9,10,13,14],[2,3,7,10,11,12,14],[2,4,5,6,7,9,14],[2,4,5,9,11,13,14],[2,4,7,8,10,11,13],[2,5,6,8,10,12,13],[2,6,8,9,11,12,14],[3,4,5,8,10,12,14],[3,4,6,7,8,13,14],[3,4,6,9,10,11,12],[3,5,6,7,11,12,13],[3,5,7,8,9,10,13],[4,5,7,8,9,11,12]]; G[9277]:=Group([(1,11)(2,4)(3,13)(6,14)(7,9)(8,10)]); # Design 9278: autom. group order 2, simple B[9278]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,14],[1,2,7,9,10,12,13],[1,3,5,10,11,12,14],[1,3,8,9,12,13,14],[1,4,5,7,12,13,14],[1,4,6,7,8,10,13],[1,4,6,9,10,11,14],[1,5,6,8,10,11,13],[1,6,7,8,9,11,12],[2,3,6,7,10,11,12],[2,3,7,8,10,13,14],[2,4,5,6,9,12,13],[2,4,5,8,10,11,12],[2,4,7,8,9,11,14],[2,5,6,9,10,13,14],[2,6,8,11,12,13,14],[3,4,5,8,9,11,13],[3,4,6,7,11,13,14],[3,4,6,9,10,12,14],[3,5,6,7,8,9,12],[3,5,7,9,10,11,13],[4,5,7,8,10,12,14]]; G[9278]:=Group([(1,11)(2,13)(6,9)(7,8)(10,14)]); # Design 9279: autom. group order 2, simple, residual B[9279]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,10,11],[1,2,8,9,11,12,14],[1,3,5,7,8,12,13],[1,3,7,9,11,13,14],[1,4,5,7,10,12,14],[1,4,6,8,10,11,13],[1,4,6,9,12,13,14],[1,5,6,10,11,12,14],[1,6,7,8,9,10,13],[2,3,6,10,12,13,14],[2,3,7,10,11,13,14],[2,4,5,6,9,11,13],[2,4,5,8,10,13,14],[2,4,7,8,9,12,14],[2,5,6,7,9,12,13],[2,6,7,8,10,11,12],[3,4,5,9,10,11,12],[3,4,6,7,8,11,12],[3,4,6,7,9,10,14],[3,5,6,8,9,11,14],[3,5,8,9,10,12,13],[4,5,7,8,11,13,14]]; G[9279]:=Group([(1,9)(2,10)(6,12)(7,11)(13,14)]); # Design 9280: autom. group order 2, simple, residual B[9280]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,14],[1,2,8,10,12,13,14],[1,3,5,9,11,12,13],[1,3,7,10,11,12,14],[1,4,5,7,8,10,12],[1,4,6,7,9,12,13],[1,4,6,9,10,13,14],[1,5,6,8,9,10,11],[1,6,7,8,11,13,14],[2,3,6,7,10,11,13],[2,3,7,8,9,10,13],[2,4,5,6,10,11,12],[2,4,5,7,9,13,14],[2,4,8,9,11,12,14],[2,5,6,10,12,13,14],[2,6,7,8,9,11,12],[3,4,5,8,11,13,14],[3,4,6,7,8,12,14],[3,4,6,9,10,11,14],[3,5,6,8,9,12,13],[3,5,7,9,10,12,14],[4,5,7,8,10,11,13]]; G[9280]:=Group([(1,11)(3,12)(5,9)(6,8)(7,14)]); # Design 9281: autom. group order 2, simple, residual B[9281]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,14],[1,2,8,10,12,13,14],[1,3,5,9,10,11,12],[1,3,7,8,9,11,13],[1,4,5,7,8,10,12],[1,4,6,7,9,12,13],[1,4,6,9,10,13,14],[1,5,6,11,12,13,14],[1,6,7,8,10,11,14],[2,3,6,7,10,11,13],[2,3,7,10,12,13,14],[2,4,5,6,10,11,12],[2,4,5,7,9,13,14],[2,4,8,9,11,12,14],[2,5,6,8,9,10,13],[2,6,7,8,9,11,12],[3,4,5,8,11,13,14],[3,4,6,7,8,12,14],[3,4,6,9,10,11,14],[3,5,6,8,9,12,13],[3,5,7,9,10,12,14],[4,5,7,8,10,11,13]]; G[9281]:=Group([(1,11)(3,12)(5,9)(6,8)(7,14)]); # Design 9282: autom. group order 2, simple B[9282]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,14],[1,2,8,10,12,13,14],[1,3,5,9,11,12,13],[1,3,7,8,9,10,11],[1,4,5,7,8,10,12],[1,4,6,7,9,12,13],[1,4,6,9,10,13,14],[1,5,6,10,11,12,14],[1,6,7,8,11,13,14],[2,3,6,7,10,11,13],[2,3,7,10,12,13,14],[2,4,5,6,10,11,12],[2,4,5,7,9,13,14],[2,4,8,9,11,12,14],[2,5,6,8,9,10,13],[2,6,7,8,9,11,12],[3,4,5,8,11,13,14],[3,4,6,7,8,12,14],[3,4,6,9,10,11,14],[3,5,6,8,9,12,13],[3,5,7,9,10,12,14],[4,5,7,8,10,11,13]]; G[9282]:=Group([(1,11)(3,12)(5,9)(6,8)(7,14)]); # Design 9283: autom. group order 2, simple, residual B[9283]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,11,12,14],[1,2,7,10,11,13,14],[1,3,5,7,9,12,13],[1,3,7,8,10,12,14],[1,4,5,9,10,13,14],[1,4,6,7,9,10,11],[1,4,6,8,12,13,14],[1,5,6,7,8,11,13],[1,6,8,9,10,11,12],[2,3,6,9,11,12,13],[2,3,7,8,9,10,13],[2,4,5,6,7,10,12],[2,4,5,8,10,11,12],[2,4,7,8,11,13,14],[2,5,6,9,10,13,14],[2,6,7,8,9,12,14],[3,4,5,8,9,11,14],[3,4,6,7,9,11,14],[3,4,6,10,12,13,14],[3,5,6,8,10,11,13],[3,5,7,10,11,12,14],[4,5,7,8,9,12,13]]; G[9283]:=Group([(2,9)(3,10)(5,11)(12,14)]); # Design 9284: autom. group order 2, simple, residual B[9284]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,11,12,14],[1,2,7,10,11,13,14],[1,3,5,7,9,12,13],[1,3,7,8,10,12,14],[1,4,5,9,10,13,14],[1,4,6,7,9,10,11],[1,4,6,8,12,13,14],[1,5,6,7,8,11,13],[1,6,8,9,10,11,12],[2,3,6,9,11,13,14],[2,3,7,8,9,10,13],[2,4,5,6,7,10,12],[2,4,5,8,10,11,14],[2,4,7,8,11,12,13],[2,5,6,9,10,12,13],[2,6,7,8,9,12,14],[3,4,5,8,9,11,12],[3,4,6,7,9,11,14],[3,4,6,10,12,13,14],[3,5,6,8,10,11,13],[3,5,7,10,11,12,14],[4,5,7,8,9,13,14]]; G[9284]:=Group([(2,9)(3,10)(5,11)(12,14)]); # Design 9285: autom. group order 2, simple B[9285]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,11,12,14],[1,2,7,10,11,13,14],[1,3,5,7,9,10,13],[1,3,8,10,12,13,14],[1,4,5,7,12,13,14],[1,4,6,7,8,9,12],[1,4,6,9,10,11,14],[1,5,6,7,8,10,11],[1,6,8,9,11,12,13],[2,3,6,7,9,11,13],[2,3,7,8,9,12,14],[2,4,5,6,10,12,13],[2,4,5,8,9,11,13],[2,4,7,8,10,11,14],[2,5,6,9,10,12,14],[2,6,7,8,10,12,13],[3,4,5,8,10,11,12],[3,4,6,7,11,12,14],[3,4,6,9,10,13,14],[3,5,6,8,11,13,14],[3,5,7,9,10,11,12],[4,5,7,8,9,13,14]]; G[9285]:=Group([(1,11)(2,12)(6,10)(7,8)(9,14)]); # Design 9286: autom. group order 2, simple B[9286]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,9,10,12,14],[1,2,7,8,9,13,14],[1,3,5,7,10,12,13],[1,3,9,11,12,13,14],[1,4,5,7,8,13,14],[1,4,6,7,9,10,11],[1,4,6,10,11,13,14],[1,5,6,8,10,12,14],[1,6,7,8,9,11,12],[2,3,6,7,9,12,14],[2,3,7,8,10,11,14],[2,4,5,6,9,12,13],[2,4,5,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,11,13,14],[2,6,8,10,11,12,13],[3,4,5,8,11,12,14],[3,4,6,7,10,12,14],[3,4,6,8,9,13,14],[3,5,6,8,9,10,13],[3,5,7,9,10,11,13],[4,5,7,8,9,11,12]]; G[9286]:=Group([(1,12)(3,13)(5,10)(6,8)]); # Design 9287: autom. group order 2, simple, residual B[9287]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,9,10,12,14],[1,2,7,8,9,13,14],[1,3,5,7,10,12,13],[1,3,9,11,12,13,14],[1,4,5,7,8,13,14],[1,4,6,7,9,10,11],[1,4,6,8,11,12,14],[1,5,6,8,10,12,14],[1,6,7,9,10,11,13],[2,3,6,7,9,12,14],[2,3,7,8,10,11,14],[2,4,5,6,9,12,13],[2,4,5,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,11,13,14],[2,6,8,10,11,12,13],[3,4,5,10,11,13,14],[3,4,6,7,10,12,14],[3,4,6,8,9,13,14],[3,5,6,8,9,10,13],[3,5,7,8,9,11,12],[4,5,7,8,9,11,12]]; G[9287]:=Group([(1,12)(3,13)(5,10)(6,8)]); # Design 9288: autom. group order 2, simple, residual B[9288]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,14],[1,2,7,8,12,13,14],[1,3,5,7,9,11,12],[1,3,8,9,11,13,14],[1,4,5,7,8,10,12],[1,4,6,7,9,10,13],[1,4,6,9,12,13,14],[1,5,6,10,11,12,13],[1,6,7,8,10,11,14],[2,3,6,7,10,11,13],[2,3,7,10,12,13,14],[2,4,5,6,11,12,14],[2,4,5,9,10,13,14],[2,4,7,8,9,11,12],[2,5,6,7,8,9,13],[2,6,8,9,10,11,12],[3,4,5,8,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,10,12,14],[3,5,6,8,9,12,13],[3,5,7,9,10,12,14],[4,5,7,8,11,13,14]]; G[9288]:=Group([(1,11)(3,12)(5,9)(6,8)(10,14)]); # Design 9289: autom. group order 2, simple, residual B[9289]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,9,10,12,14],[1,2,7,8,9,13,14],[1,3,5,10,12,13,14],[1,3,7,9,11,12,13],[1,4,5,7,8,13,14],[1,4,6,7,9,10,11],[1,4,6,10,11,13,14],[1,5,6,7,8,10,12],[1,6,8,9,11,12,14],[2,3,6,7,9,12,14],[2,3,7,8,10,11,14],[2,4,5,6,9,12,13],[2,4,5,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,11,13,14],[2,6,8,10,11,12,13],[3,4,5,8,11,12,14],[3,4,6,7,10,12,14],[3,4,6,8,9,13,14],[3,5,6,8,9,10,13],[3,5,7,9,10,11,13],[4,5,7,8,9,11,12]]; G[9289]:=Group([(1,12)(3,13)(5,10)(6,8)]); # Design 9290: autom. group order 2, simple, residual B[9290]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,11,12,14],[1,2,7,8,9,13,14],[1,3,5,10,11,12,13],[1,3,7,9,10,11,14],[1,4,5,7,8,10,13],[1,4,6,8,11,12,14],[1,4,6,9,10,11,14],[1,5,6,9,10,12,13],[1,6,7,8,9,12,13],[2,3,6,7,9,10,12],[2,3,8,10,12,13,14],[2,4,5,7,9,11,13],[2,4,5,9,10,12,14],[2,4,6,8,10,11,13],[2,5,6,8,9,11,12],[2,6,7,10,11,13,14],[3,4,5,6,9,13,14],[3,4,6,7,12,13,14],[3,4,7,8,9,11,12],[3,5,6,7,8,10,11],[3,5,8,9,11,13,14],[4,5,7,8,10,12,14]]; G[9290]:=Group([(1,13)(3,11)(5,10)(7,8)]); # Design 9291: autom. group order 2, simple, residual B[9291]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,10,11],[1,2,7,9,11,12,14],[1,3,5,10,12,13,14],[1,3,7,8,10,13,14],[1,4,5,7,8,11,13],[1,4,6,8,9,12,13],[1,4,6,9,10,11,14],[1,5,6,9,10,12,13],[1,6,7,8,11,12,14],[2,3,6,8,9,11,13],[2,3,7,9,12,13,14],[2,4,5,8,9,12,14],[2,4,5,10,11,13,14],[2,4,6,7,10,12,13],[2,5,6,7,8,10,12],[2,6,8,10,11,13,14],[3,4,5,6,11,12,14],[3,4,6,7,9,10,14],[3,4,7,8,10,11,12],[3,5,6,7,9,11,13],[3,5,8,9,10,11,12],[4,5,7,8,9,13,14]]; G[9291]:=Group([(1,11)(2,12)(5,8)(6,10)(9,14)]); # Design 9292: autom. group order 2, simple, residual B[9292]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,14],[1,2,7,8,10,11,12],[1,3,5,9,10,13,14],[1,3,7,8,9,12,13],[1,4,5,10,12,13,14],[1,4,6,7,9,12,14],[1,4,6,8,9,11,13],[1,5,6,7,10,11,13],[1,6,8,10,11,12,14],[2,3,6,9,11,12,14],[2,3,7,10,11,13,14],[2,4,5,8,12,13,14],[2,4,5,9,10,11,12],[2,4,6,7,9,10,13],[2,5,6,7,8,12,13],[2,6,8,9,10,13,14],[3,4,5,6,8,10,11],[3,4,6,7,10,12,14],[3,4,7,8,11,13,14],[3,5,6,9,11,12,13],[3,5,7,8,9,10,12],[4,5,7,8,9,11,14]]; G[9292]:=Group([(1,10)(3,9)(5,13)]); # Design 9293: autom. group order 2, simple, residual B[9293]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,7,8,10,13,14],[1,3,5,9,10,11,13],[1,3,7,10,11,12,14],[1,4,5,8,11,12,14],[1,4,6,7,9,13,14],[1,4,6,9,11,13,14],[1,5,6,8,10,12,13],[1,6,7,8,9,10,12],[2,3,6,7,10,11,13],[2,3,8,9,12,13,14],[2,4,5,7,9,10,14],[2,4,5,10,12,13,14],[2,4,6,7,8,11,12],[2,5,6,8,9,11,13],[2,6,9,10,11,12,14],[3,4,5,6,9,10,12],[3,4,6,8,10,11,14],[3,4,7,8,9,12,13],[3,5,6,7,12,13,14],[3,5,7,8,9,11,14],[4,5,7,8,10,11,13]]; G[9293]:=Group([(1,6)(2,12)(3,10)(4,9)(5,8)(13,14)]); # Design 9294: autom. group order 2, simple, residual B[9294]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,7,8,10,13,14],[1,3,5,9,10,11,14],[1,3,7,10,11,12,13],[1,4,5,8,11,12,14],[1,4,6,7,9,13,14],[1,4,6,9,11,13,14],[1,5,6,8,10,12,13],[1,6,7,8,9,10,12],[2,3,6,7,10,11,14],[2,3,8,9,12,13,14],[2,4,5,7,9,10,13],[2,4,5,10,12,13,14],[2,4,6,7,8,11,12],[2,5,6,8,9,11,13],[2,6,9,10,11,12,14],[3,4,5,6,9,10,12],[3,4,6,8,10,11,13],[3,4,7,8,9,12,14],[3,5,6,7,12,13,14],[3,5,7,8,9,11,13],[4,5,7,8,10,11,14]]; G[9294]:=Group([(1,6)(2,12)(3,10)(4,9)(5,8)(13,14)]); # Design 9295: autom. group order 2, simple, residual B[9295]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,7,9,12,14],[1,2,7,8,10,13,14],[1,3,5,9,12,13,14],[1,3,7,9,10,11,13],[1,4,5,8,11,13,14],[1,4,6,7,10,11,12],[1,4,6,9,10,13,14],[1,5,6,8,9,10,12],[1,6,7,8,11,12,14],[2,3,6,9,10,11,14],[2,3,7,8,10,12,14],[2,4,5,7,9,11,14],[2,4,5,8,10,12,13],[2,4,6,7,9,12,13],[2,5,6,10,11,13,14],[2,6,8,9,11,12,13],[3,4,5,6,10,12,14],[3,4,6,7,8,13,14],[3,4,8,9,11,12,14],[3,5,6,7,8,9,13],[3,5,7,10,11,12,13],[4,5,7,8,9,10,11]]; G[9295]:=Group([(1,12)(3,13)(5,9)]); # Design 9296: autom. group order 2, simple, residual B[9296]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,7,8,9,13,14],[1,3,5,10,11,12,13],[1,3,7,8,9,10,11],[1,4,5,9,10,13,14],[1,4,6,7,10,11,14],[1,4,6,8,11,12,14],[1,5,6,8,10,12,13],[1,6,7,9,12,13,14],[2,3,6,9,11,12,14],[2,3,7,10,12,13,14],[2,4,5,8,11,13,14],[2,4,5,9,10,12,14],[2,4,6,7,10,11,13],[2,5,6,7,8,10,12],[2,6,8,9,10,11,13],[3,4,5,6,7,9,13],[3,4,6,8,9,12,13],[3,4,7,8,10,12,14],[3,5,6,9,10,11,14],[3,5,7,8,11,13,14],[4,5,7,8,9,11,12]]; G[9296]:=Group([(1,13)(3,11)(5,10)(9,14)]); # Design 9297: autom. group order 2, simple, residual B[9297]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,7,8,9,13,14],[1,3,5,10,11,12,13],[1,3,7,8,10,11,14],[1,4,5,9,10,13,14],[1,4,6,7,10,11,14],[1,4,6,8,9,11,12],[1,5,6,8,10,12,13],[1,6,7,9,12,13,14],[2,3,6,9,11,12,14],[2,3,7,10,12,13,14],[2,4,5,8,11,13,14],[2,4,5,9,10,12,14],[2,4,6,7,10,11,13],[2,5,6,7,8,10,12],[2,6,8,9,10,11,13],[3,4,5,6,7,9,13],[3,4,6,8,12,13,14],[3,4,7,8,9,10,12],[3,5,6,9,10,11,14],[3,5,7,8,9,11,13],[4,5,7,8,11,12,14]]; G[9297]:=Group([(1,13)(3,11)(5,10)(9,14)]); # Design 9298: autom. group order 2, simple, residual B[9298]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,7,8,10,11,14],[1,3,5,9,10,12,13],[1,3,7,8,9,11,13],[1,4,5,10,11,13,14],[1,4,6,7,9,13,14],[1,4,6,8,9,12,14],[1,5,6,8,10,12,13],[1,6,7,10,11,12,14],[2,3,6,9,11,12,14],[2,3,7,10,12,13,14],[2,4,5,8,11,13,14],[2,4,5,9,10,12,14],[2,4,6,7,9,10,13],[2,5,6,7,8,12,13],[2,6,8,9,10,11,13],[3,4,5,6,7,10,11],[3,4,6,8,10,11,12],[3,4,7,8,12,13,14],[3,5,6,9,11,13,14],[3,5,7,8,9,10,14],[4,5,7,8,9,11,12]]; G[9298]:=Group([(1,10)(3,9)(5,13)(11,14)]); # Design 9299: autom. group order 2, simple, residual B[9299]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,11,12],[1,2,7,8,10,11,14],[1,3,5,9,10,12,13],[1,3,7,8,9,13,14],[1,4,5,10,11,13,14],[1,4,6,7,9,13,14],[1,4,6,8,9,11,12],[1,5,6,8,10,12,13],[1,6,7,10,11,12,14],[2,3,6,9,11,12,14],[2,3,7,10,12,13,14],[2,4,5,8,11,13,14],[2,4,5,9,10,12,14],[2,4,6,7,9,10,13],[2,5,6,7,8,12,13],[2,6,8,9,10,11,13],[3,4,5,6,7,10,11],[3,4,6,8,10,12,14],[3,4,7,8,11,12,13],[3,5,6,9,11,13,14],[3,5,7,8,9,10,11],[4,5,7,8,9,12,14]]; G[9299]:=Group([(1,10)(3,9)(5,13)(11,14)]); # Design 9300: autom. group order 2, simple B[9300]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,9,10,11,14],[1,2,7,9,11,12,14],[1,3,5,10,12,13,14],[1,3,7,8,9,10,13],[1,4,5,7,8,11,14],[1,4,6,8,12,13,14],[1,4,6,9,10,11,13],[1,5,6,7,10,12,13],[1,6,7,8,9,11,12],[2,3,6,7,8,11,13],[2,3,7,9,12,13,14],[2,4,5,7,10,11,13],[2,4,5,8,9,12,13],[2,4,6,7,10,12,14],[2,5,6,8,9,10,12],[2,6,8,10,11,13,14],[3,4,5,6,9,11,12],[3,4,6,7,9,10,14],[3,4,8,10,11,12,14],[3,5,6,9,11,13,14],[3,5,7,8,10,11,12],[4,5,7,8,9,13,14]]; G[9300]:=Group([(1,11)(2,12)(5,8)(6,10)(7,14)]); # Design 9301: autom. group order 2, simple, residual B[9301]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,6,8,9,13,14],[1,3,5,6,10,11,13],[1,3,6,8,10,12,14],[1,4,5,7,10,12,14],[1,4,6,9,10,12,13],[1,4,7,8,11,13,14],[1,5,7,9,10,11,14],[1,7,8,9,11,12,13],[2,3,7,9,10,13,14],[2,3,7,10,12,13,14],[2,4,5,8,9,12,14],[2,4,5,9,10,11,13],[2,4,6,7,8,10,11],[2,5,6,11,12,13,14],[2,6,7,8,10,11,12],[3,4,5,7,8,12,13],[3,4,6,7,9,11,14],[3,4,6,9,11,12,14],[3,5,6,7,8,9,13],[3,5,8,9,10,11,12],[4,5,6,8,10,13,14]]; G[9301]:=Group([(1,5)(2,10)(3,11)(4,9)(6,14)(8,13)]); # Design 9302: autom. group order 2, simple B[9302]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,9,13,14],[1,3,5,6,10,12,14],[1,3,6,7,10,13,14],[1,4,5,7,9,10,11],[1,4,7,8,10,11,14],[1,4,8,9,12,13,14],[1,5,7,8,11,12,13],[1,6,9,10,11,12,13],[2,3,7,8,10,12,13],[2,3,9,10,11,12,14],[2,4,5,7,12,13,14],[2,4,5,9,10,13,14],[2,4,6,7,10,11,12],[2,5,6,8,10,11,13],[2,6,7,8,9,11,14],[3,4,5,6,9,11,13],[3,4,6,7,8,9,12],[3,4,6,8,11,13,14],[3,5,7,8,9,10,13],[3,5,7,9,11,12,14],[4,5,6,8,10,12,14]]; G[9302]:=Group([(2,12)(3,13)(4,11)(5,9)(7,10)]); # Design 9303: autom. group order 2, simple, residual B[9303]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,6,9,12,13,14],[1,3,5,6,8,10,13],[1,3,7,9,10,11,14],[1,4,5,10,12,13,14],[1,4,6,7,8,10,14],[1,4,6,8,9,11,12],[1,5,7,9,11,13,14],[1,7,8,10,11,12,13],[2,3,6,10,11,12,14],[2,3,7,8,12,13,14],[2,4,5,7,8,11,13],[2,4,5,9,10,11,14],[2,4,6,7,10,13,14],[2,5,7,8,9,10,12],[2,6,8,9,10,11,13],[3,4,5,9,10,12,13],[3,4,6,7,9,11,13],[3,4,7,8,9,12,14],[3,5,6,7,10,11,12],[3,5,6,8,9,13,14],[4,5,6,8,11,12,14]]; G[9303]:=Group([(1,9)(3,10)(4,8)(6,12)]); # Design 9304: autom. group order 2, simple, residual B[9304]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,10,13,14],[1,3,5,6,8,10,12],[1,3,7,9,11,12,13],[1,4,5,9,10,11,13],[1,4,6,7,8,9,13],[1,4,6,10,11,12,14],[1,5,7,8,12,13,14],[1,7,8,9,10,11,14],[2,3,6,9,11,13,14],[2,3,7,8,9,10,12],[2,4,5,7,10,12,13],[2,4,5,8,9,13,14],[2,4,7,8,11,12,14],[2,5,6,7,9,10,11],[2,6,8,10,11,12,13],[3,4,5,7,10,11,14],[3,4,6,7,9,12,14],[3,4,6,8,10,13,14],[3,5,6,7,8,11,13],[3,5,9,10,12,13,14],[4,5,6,8,9,11,12]]; G[9304]:=Group([(1,9)(2,12)(4,7)(5,14)(8,13)(10,11)]); # Design 9305: autom. group order 2, simple B[9305]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,8,10,13,14],[1,3,5,6,9,11,13],[1,3,7,8,10,12,14],[1,4,5,8,10,12,13],[1,4,6,7,9,13,14],[1,4,6,7,10,11,12],[1,5,7,9,10,11,14],[1,7,8,9,11,12,13],[2,3,6,7,9,10,12],[2,3,7,11,12,13,14],[2,4,5,7,10,13,14],[2,4,5,9,10,11,12],[2,4,7,8,9,11,14],[2,5,6,7,8,12,13],[2,6,8,9,10,11,13],[3,4,5,7,8,9,13],[3,4,6,8,9,12,14],[3,4,6,10,11,13,14],[3,5,6,7,8,10,11],[3,5,9,10,12,13,14],[4,5,6,8,11,12,14]]; G[9305]:=Group([(1,9)(2,8)(3,4)(5,7)(6,13)(11,14)]); # Design 9306: autom. group order 2, simple, residual B[9306]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,9,11,14],[1,3,5,6,7,10,13],[1,3,7,9,10,13,14],[1,4,5,8,12,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,11,14],[1,5,6,10,11,12,13],[1,7,8,9,11,12,13],[2,3,6,10,11,12,14],[2,3,7,8,10,12,13],[2,4,5,7,9,11,13],[2,4,5,9,10,13,14],[2,4,6,7,12,13,14],[2,5,7,8,10,12,14],[2,6,8,9,10,11,13],[3,4,5,9,10,11,12],[3,4,6,7,8,9,12],[3,4,6,8,11,13,14],[3,5,6,8,9,13,14],[3,5,7,9,11,12,14],[4,5,6,7,8,10,11]]; G[9306]:=Group([(2,12)(3,13)(4,11)(7,10)]); # Design 9307: autom. group order 2, simple, residual B[9307]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,9,10,11,14],[1,3,5,6,7,10,13],[1,3,7,9,10,13,14],[1,4,5,8,12,13,14],[1,4,6,7,9,12,14],[1,4,7,8,10,11,14],[1,5,6,10,11,12,13],[1,7,8,9,11,12,13],[2,3,6,7,11,12,14],[2,3,7,8,10,12,13],[2,4,5,7,9,13,14],[2,4,5,9,10,11,13],[2,4,6,10,12,13,14],[2,5,7,8,10,12,14],[2,6,7,8,9,11,13],[3,4,5,7,9,11,12],[3,4,6,8,9,10,12],[3,4,6,8,11,13,14],[3,5,6,8,9,13,14],[3,5,9,10,11,12,14],[4,5,6,7,8,10,11]]; G[9307]:=Group([(2,12)(3,13)(4,11)(7,10)]); # Design 9308: autom. group order 2, simple B[9308]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,12,13,14],[1,2,6,7,8,9,12],[1,3,5,6,9,10,14],[1,3,7,8,10,12,13],[1,4,5,7,8,10,11],[1,4,6,7,10,13,14],[1,4,7,9,11,12,14],[1,5,9,10,11,12,13],[1,6,8,9,11,13,14],[2,3,6,9,10,11,12],[2,3,7,9,10,13,14],[2,4,5,6,10,11,13],[2,4,5,7,9,12,14],[2,4,8,10,12,13,14],[2,5,7,8,9,11,13],[2,6,7,8,10,11,14],[3,4,5,8,9,13,14],[3,4,6,7,9,11,13],[3,4,6,8,11,12,14],[3,5,6,7,8,12,13],[3,5,7,10,11,12,14],[4,5,6,8,9,10,12]]; G[9308]:=Group([(2,6)(3,14)(4,13)(7,12)(8,9)(10,11)]); # Design 9309: autom. group order 2, simple B[9309]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,13,14],[1,3,5,6,10,12,13],[1,3,9,10,11,13,14],[1,4,5,7,9,12,13],[1,4,6,8,10,12,14],[1,4,7,9,11,13,14],[1,5,7,8,10,11,12],[1,6,7,8,9,10,11],[2,3,6,7,9,10,13],[2,3,7,8,9,12,14],[2,4,5,6,9,10,11],[2,4,5,7,10,11,14],[2,4,7,8,10,12,13],[2,5,8,9,11,12,13],[2,6,10,11,12,13,14],[3,4,5,8,10,13,14],[3,4,6,7,11,12,14],[3,4,6,8,9,11,12],[3,5,6,7,8,11,13],[3,5,7,9,10,12,14],[4,5,6,8,9,13,14]]; G[9309]:=Group([(1,13)(3,12)(4,11)(5,10)(7,14)]); # Design 9310: autom. group order 2, simple, residual B[9310]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,8,9,10,11],[1,3,5,6,10,12,13],[1,3,7,8,9,12,13],[1,4,5,10,11,13,14],[1,4,6,7,11,12,14],[1,4,7,8,10,12,14],[1,5,7,9,10,11,13],[1,6,7,8,9,13,14],[2,3,6,7,10,13,14],[2,3,7,9,11,12,14],[2,4,5,7,8,12,13],[2,4,5,7,9,10,14],[2,4,6,9,10,12,13],[2,5,6,7,8,11,13],[2,8,10,11,12,13,14],[3,4,5,8,9,13,14],[3,4,6,7,8,10,11],[3,4,6,9,11,13,14],[3,5,6,8,10,12,14],[3,5,7,9,10,11,12],[4,5,6,8,9,11,12]]; G[9310]:=Group([(1,13)(3,12)(5,10)(7,9)]); # Design 9311: autom. group order 2, simple, residual B[9311]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,6,7,9,12,14],[1,3,5,6,9,10,11],[1,3,9,10,12,13,14],[1,4,5,7,8,10,14],[1,4,6,7,8,9,13],[1,4,7,10,11,13,14],[1,5,7,9,11,12,14],[1,6,8,10,11,12,13],[2,3,6,7,10,12,14],[2,3,7,8,11,13,14],[2,4,5,7,10,12,13],[2,4,5,9,10,11,12],[2,4,6,9,11,13,14],[2,5,8,9,10,13,14],[2,6,7,8,9,10,11],[3,4,5,6,9,13,14],[3,4,6,8,10,12,14],[3,4,7,8,9,11,12],[3,5,6,7,10,11,13],[3,5,7,8,9,12,13],[4,5,6,8,11,12,14]]; G[9311]:=Group([(1,9)(3,10)(4,8)(5,11)(12,14)]); # Design 9312: autom. group order 2, simple, residual B[9312]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,6,8,9,13,14],[1,3,5,6,10,13,14],[1,3,7,9,10,12,14],[1,4,5,7,12,13,14],[1,4,6,7,8,10,11],[1,4,7,8,9,11,14],[1,5,8,10,11,12,13],[1,6,7,9,11,12,13],[2,3,6,7,9,11,13],[2,3,7,8,12,13,14],[2,4,5,7,9,10,13],[2,4,5,9,11,12,14],[2,4,6,10,11,12,14],[2,5,7,8,10,11,13],[2,6,7,8,10,12,14],[3,4,5,6,7,8,12],[3,4,6,10,11,13,14],[3,4,8,9,10,12,13],[3,5,6,8,9,11,12],[3,5,7,9,10,11,14],[4,5,6,8,9,13,14]]; G[9312]:=Group([(2,12)(3,13)(4,11)(6,10)(7,8)]); # Design 9313: autom. group order 2, simple B[9313]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,6,8,9,13,14],[1,3,5,6,10,13,14],[1,3,7,9,10,12,14],[1,4,5,7,12,13,14],[1,4,6,7,8,10,11],[1,4,7,8,9,11,14],[1,5,8,10,11,12,13],[1,6,7,9,11,12,13],[2,3,6,7,11,13,14],[2,3,7,8,9,12,13],[2,4,5,7,9,10,13],[2,4,5,9,11,12,14],[2,4,6,10,11,12,14],[2,5,7,8,10,11,13],[2,6,7,8,10,12,14],[3,4,5,6,7,8,12],[3,4,6,9,10,11,13],[3,4,8,10,12,13,14],[3,5,6,8,9,11,12],[3,5,7,9,10,11,14],[4,5,6,8,9,13,14]]; G[9313]:=Group([(2,12)(3,13)(4,11)(6,10)(7,8)]); # Design 9314: autom. group order 2, simple, residual B[9314]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,9,13,14],[1,3,5,6,10,12,14],[1,3,7,8,10,13,14],[1,4,5,7,9,10,11],[1,4,6,7,10,11,14],[1,4,8,9,12,13,14],[1,5,7,8,11,12,13],[1,6,9,10,11,12,13],[2,3,6,7,10,12,13],[2,3,9,10,11,12,14],[2,4,5,7,12,13,14],[2,4,5,9,10,13,14],[2,4,7,8,10,11,12],[2,5,6,8,10,11,13],[2,6,7,8,9,11,14],[3,4,5,6,9,11,13],[3,4,6,7,8,9,12],[3,4,6,8,11,13,14],[3,5,7,8,9,10,13],[3,5,7,9,11,12,14],[4,5,6,8,10,12,14]]; G[9314]:=Group([(2,12)(3,13)(4,11)(5,9)(7,10)]); # Design 9315: autom. group order 2, simple B[9315]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,6,8,9,13,14],[1,3,5,6,7,12,14],[1,3,7,9,10,11,14],[1,4,5,8,10,13,14],[1,4,6,7,8,10,11],[1,4,7,9,12,13,14],[1,5,7,10,11,12,13],[1,6,8,9,11,12,13],[2,3,6,7,9,11,13],[2,3,7,8,10,12,13],[2,4,5,7,9,13,14],[2,4,5,9,10,11,12],[2,4,7,8,11,12,14],[2,5,6,10,11,13,14],[2,6,7,8,10,12,14],[3,4,5,6,8,12,13],[3,4,6,9,10,12,14],[3,4,6,10,11,13,14],[3,5,7,8,9,10,13],[3,5,8,9,11,12,14],[4,5,6,7,8,9,11]]; G[9315]:=Group([(2,12)(3,13)(4,11)(5,9)(7,8)]); # Design 9316: autom. group order 2, simple B[9316]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,8,9,10,13],[1,3,5,6,7,10,12],[1,3,7,9,10,11,14],[1,4,5,8,10,13,14],[1,4,6,7,8,11,14],[1,4,7,9,12,13,14],[1,5,7,10,11,12,13],[1,6,8,9,11,12,13],[2,3,6,7,9,11,13],[2,3,7,8,12,13,14],[2,4,5,7,9,13,14],[2,4,5,9,10,11,12],[2,4,7,8,10,11,12],[2,5,6,10,11,13,14],[2,6,7,8,10,12,14],[3,4,5,6,8,12,13],[3,4,6,9,10,12,14],[3,4,6,10,11,13,14],[3,5,7,8,9,10,13],[3,5,8,9,11,12,14],[4,5,6,7,8,9,11]]; G[9316]:=Group([(2,12)(3,13)(4,11)(5,9)(7,8)]); # Design 9317: autom. group order 2, simple, residual B[9317]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,8,9,10,13],[1,3,5,6,7,10,12],[1,3,7,9,10,11,14],[1,4,5,8,10,13,14],[1,4,6,7,8,11,14],[1,4,7,9,12,13,14],[1,5,7,10,11,12,13],[1,6,8,9,11,12,13],[2,3,6,10,12,13,14],[2,3,7,8,12,13,14],[2,4,5,7,9,10,13],[2,4,5,9,11,12,14],[2,4,7,8,10,11,12],[2,5,6,7,8,11,13],[2,6,7,9,10,11,14],[3,4,5,6,9,11,13],[3,4,6,7,8,9,12],[3,4,6,10,11,13,14],[3,5,7,8,9,13,14],[3,5,8,9,10,11,12],[4,5,6,8,10,12,14]]; G[9317]:=Group([(2,12)(3,13)(4,11)(5,9)(7,8)]); # Design 9318: autom. group order 2, simple, residual B[9318]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,8,9,10,13],[1,3,5,6,7,10,12],[1,3,7,9,10,11,14],[1,4,5,8,10,13,14],[1,4,6,7,8,11,14],[1,4,7,9,12,13,14],[1,5,7,10,11,12,13],[1,6,8,9,11,12,13],[2,3,6,10,12,13,14],[2,3,7,8,12,13,14],[2,4,5,7,9,13,14],[2,4,5,9,10,11,12],[2,4,7,8,10,11,12],[2,5,6,7,8,11,13],[2,6,7,9,10,11,14],[3,4,5,6,9,11,13],[3,4,6,7,8,9,12],[3,4,6,10,11,13,14],[3,5,7,8,9,10,13],[3,5,8,9,11,12,14],[4,5,6,8,10,12,14]]; G[9318]:=Group([(2,12)(3,13)(4,11)(5,9)(7,8)]); # Design 9319: autom. group order 2, simple, residual B[9319]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,6,7,8,13,14],[1,3,5,9,10,12,13],[1,3,6,9,11,13,14],[1,4,5,6,8,10,11],[1,4,6,9,10,12,14],[1,4,7,8,12,13,14],[1,5,7,10,11,12,14],[1,7,8,9,10,11,13],[2,3,6,10,11,12,14],[2,3,7,8,9,10,14],[2,4,5,7,10,11,13],[2,4,5,9,10,13,14],[2,4,7,9,11,12,14],[2,5,6,8,9,12,13],[2,6,8,10,11,12,13],[3,4,5,8,12,13,14],[3,4,6,7,8,10,12],[3,4,6,7,9,11,13],[3,5,6,7,10,13,14],[3,5,7,8,9,11,12],[4,5,6,8,9,11,14]]; G[9319]:=Group([(1,7)(2,6)(8,13)(10,11)]); # Design 9320: autom. group order 2, simple, residual B[9320]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,6,7,8,13,14],[1,3,5,8,9,10,13],[1,3,6,10,11,12,13],[1,4,5,6,9,11,14],[1,4,6,8,10,12,14],[1,4,7,10,11,13,14],[1,5,7,9,10,11,12],[1,7,8,9,12,13,14],[2,3,6,9,12,13,14],[2,3,7,9,10,11,14],[2,4,5,7,10,12,13],[2,4,5,8,10,12,14],[2,4,7,8,9,11,13],[2,5,6,10,11,13,14],[2,6,8,9,10,11,12],[3,4,5,9,12,13,14],[3,4,6,7,8,11,12],[3,4,6,7,9,10,14],[3,5,6,7,8,10,13],[3,5,7,8,11,12,14],[4,5,6,8,9,11,13]]; G[9320]:=Group([(1,7)(2,6)(9,12)(10,11)(13,14)]); # Design 9321: autom. group order 2, simple B[9321]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,6,9,10,13,14],[1,3,5,7,8,10,13],[1,3,6,10,11,12,14],[1,4,5,6,8,12,14],[1,4,6,9,11,13,14],[1,4,7,8,10,13,14],[1,5,7,9,10,11,12],[1,7,8,9,11,12,13],[2,3,6,8,9,12,13],[2,3,7,9,10,11,14],[2,4,5,7,9,13,14],[2,4,5,10,11,12,13],[2,4,7,8,11,12,14],[2,5,6,8,10,11,13],[2,6,7,8,10,12,14],[3,4,5,9,10,12,14],[3,4,6,7,8,9,11],[3,4,6,7,10,12,13],[3,5,6,7,11,13,14],[3,5,8,9,12,13,14],[4,5,6,8,9,10,11]]; G[9321]:=Group([(1,7)(2,6)(8,13)(9,12)]); # Design 9322: autom. group order 2, simple B[9322]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,6,10,12,13,14],[1,3,5,7,8,10,13],[1,3,6,9,10,11,14],[1,4,5,6,8,12,14],[1,4,6,9,11,13,14],[1,4,7,8,10,13,14],[1,5,7,9,10,11,12],[1,7,8,9,11,12,13],[2,3,6,8,9,12,13],[2,3,7,10,11,12,14],[2,4,5,7,9,13,14],[2,4,5,9,10,11,13],[2,4,7,8,11,12,14],[2,5,6,8,10,11,13],[2,6,7,8,9,10,14],[3,4,5,9,10,12,14],[3,4,6,7,8,9,11],[3,4,6,7,10,12,13],[3,5,6,7,11,13,14],[3,5,8,9,12,13,14],[4,5,6,8,10,11,12]]; G[9322]:=Group([(1,7)(2,6)(8,13)(9,12)]); # Design 9323: autom. group order 2, simple, residual B[9323]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,6,8,10,12,13],[1,3,5,7,9,13,14],[1,3,6,9,11,12,14],[1,4,5,6,10,11,13],[1,4,6,8,9,10,14],[1,4,7,8,12,13,14],[1,5,7,8,10,11,12],[1,7,9,10,11,13,14],[2,3,6,10,11,13,14],[2,3,7,9,10,12,13],[2,4,5,7,10,11,14],[2,4,5,9,10,12,14],[2,4,7,8,9,11,13],[2,5,6,8,9,13,14],[2,6,7,8,11,12,14],[3,4,5,8,12,13,14],[3,4,6,7,8,9,11],[3,4,6,7,10,12,14],[3,5,6,7,8,10,13],[3,5,8,9,10,11,12],[4,5,6,9,11,12,13]]; G[9323]:=Group([(1,7)(2,6)(10,11)(13,14)]); # Design 9324: autom. group order 2, simple, residual B[9324]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,6,8,10,12,14],[1,3,5,7,9,13,14],[1,3,6,9,11,12,13],[1,4,5,6,10,11,14],[1,4,6,8,9,10,13],[1,4,7,8,12,13,14],[1,5,7,8,10,11,12],[1,7,9,10,11,13,14],[2,3,6,10,11,13,14],[2,3,7,9,10,12,14],[2,4,5,7,10,11,13],[2,4,5,9,10,12,13],[2,4,7,8,9,11,14],[2,5,6,8,9,13,14],[2,6,7,8,11,12,13],[3,4,5,8,12,13,14],[3,4,6,7,8,9,11],[3,4,6,7,10,12,14],[3,5,6,7,8,10,13],[3,5,8,9,10,11,12],[4,5,6,9,11,12,14]]; G[9324]:=Group([(1,7)(2,6)(10,11)(13,14)]); # Design 9325: autom. group order 2, simple B[9325]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,6,8,9,10,13],[1,3,5,7,8,13,14],[1,3,6,10,11,12,13],[1,4,5,6,9,11,14],[1,4,6,8,10,12,14],[1,4,7,10,11,13,14],[1,5,7,9,10,11,12],[1,7,8,9,12,13,14],[2,3,6,9,12,13,14],[2,3,7,9,10,11,14],[2,4,5,7,10,12,13],[2,4,5,8,10,12,14],[2,4,7,8,9,11,13],[2,5,6,10,11,13,14],[2,6,7,8,11,12,14],[3,4,5,9,12,13,14],[3,4,6,7,8,11,12],[3,4,6,7,9,10,14],[3,5,6,7,8,10,13],[3,5,8,9,10,11,12],[4,5,6,8,9,11,13]]; G[9325]:=Group([(1,7)(2,6)(9,12)(10,11)(13,14)]); # Design 9326: autom. group order 2, simple, residual B[9326]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,6,7,8,9,13],[1,3,5,7,8,12,13],[1,3,6,7,10,11,14],[1,4,5,6,9,12,14],[1,4,6,8,10,11,14],[1,4,7,9,11,13,14],[1,5,7,10,12,13,14],[1,8,9,10,11,12,13],[2,3,6,10,12,13,14],[2,3,7,9,11,12,14],[2,4,5,7,10,11,13],[2,4,5,8,10,13,14],[2,4,7,8,9,12,14],[2,5,6,9,11,13,14],[2,6,7,8,10,11,12],[3,4,5,9,10,11,12],[3,4,6,7,9,10,13],[3,4,6,8,12,13,14],[3,5,6,8,9,11,13],[3,5,7,8,9,10,14],[4,5,6,7,8,11,12]]; G[9326]:=Group([(1,9)(2,10)(6,12)(7,11)]); # Design 9327: autom. group order 2, simple, residual B[9327]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,10,11,12],[1,2,6,7,8,11,13],[1,3,5,7,10,12,14],[1,3,6,10,11,13,14],[1,4,5,6,9,13,14],[1,4,6,8,9,10,12],[1,4,7,8,11,12,14],[1,5,7,8,9,11,13],[1,7,9,10,12,13,14],[2,3,6,9,12,13,14],[2,3,7,8,10,12,13],[2,4,5,7,9,12,13],[2,4,5,10,11,13,14],[2,4,7,9,10,11,14],[2,5,6,7,8,10,14],[2,6,8,9,11,12,14],[3,4,5,8,11,12,14],[3,4,6,7,8,13,14],[3,4,6,7,9,10,11],[3,5,6,7,9,11,12],[3,5,8,9,10,11,13],[4,5,6,8,10,12,13]]; G[9327]:=Group([(1,7)(2,6)(8,11)(12,14)]); # Design 9328: autom. group order 2, simple, residual B[9328]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,6,7,8,12,14],[1,3,5,7,9,10,13],[1,3,6,10,12,13,14],[1,4,5,6,8,10,11],[1,4,6,9,11,13,14],[1,4,7,8,9,12,14],[1,5,7,9,10,11,14],[1,7,8,10,11,12,13],[2,3,6,9,10,11,14],[2,3,7,8,10,13,14],[2,4,5,7,10,11,12],[2,4,5,10,12,13,14],[2,4,7,9,11,13,14],[2,5,6,7,8,9,13],[2,6,8,9,10,11,12],[3,4,5,8,9,12,14],[3,4,6,7,8,11,13],[3,4,6,7,9,10,12],[3,5,6,7,11,12,14],[3,5,8,9,11,12,13],[4,5,6,8,10,13,14]]; G[9328]:=Group([(1,7)(2,6)(8,12)]); # Design 9329: autom. group order 2, simple, residual B[9329]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,6,7,8,12,14],[1,3,5,7,9,10,13],[1,3,6,8,10,13,14],[1,4,5,6,10,11,12],[1,4,6,9,11,13,14],[1,4,7,8,9,12,14],[1,5,7,9,10,11,14],[1,7,8,10,11,12,13],[2,3,6,9,10,11,14],[2,3,7,10,12,13,14],[2,4,5,7,8,10,11],[2,4,5,10,12,13,14],[2,4,7,9,11,13,14],[2,5,6,7,8,9,13],[2,6,8,9,10,11,12],[3,4,5,8,9,12,14],[3,4,6,7,8,11,13],[3,4,6,7,9,10,12],[3,5,6,7,11,12,14],[3,5,8,9,11,12,13],[4,5,6,8,10,13,14]]; G[9329]:=Group([(1,7)(2,6)(8,12)]); # Design 9330: autom. group order 2, simple, residual B[9330]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,6,7,8,9,13],[1,3,5,7,8,12,14],[1,3,6,10,11,12,13],[1,4,5,6,9,11,14],[1,4,6,8,10,13,14],[1,4,7,10,11,12,14],[1,5,7,9,10,11,13],[1,7,8,9,12,13,14],[2,3,6,9,12,13,14],[2,3,7,9,10,11,14],[2,4,5,7,10,12,13],[2,4,5,8,10,13,14],[2,4,7,8,9,11,12],[2,5,6,7,11,13,14],[2,6,8,10,11,12,14],[3,4,5,9,12,13,14],[3,4,6,7,8,11,13],[3,4,6,7,9,10,14],[3,5,6,7,8,10,12],[3,5,8,9,10,11,13],[4,5,6,8,9,11,12]]; G[9330]:=Group([(1,7)(2,6)(9,13)(10,11)(12,14)]); # Design 9331: autom. group order 2, simple B[9331]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,6,7,8,12,14],[1,3,5,7,8,9,13],[1,3,6,10,11,12,13],[1,4,5,6,9,11,14],[1,4,6,8,10,13,14],[1,4,7,10,11,12,14],[1,5,7,9,10,11,13],[1,7,8,9,12,13,14],[2,3,6,9,12,13,14],[2,3,7,9,10,11,14],[2,4,5,7,10,12,13],[2,4,5,8,10,13,14],[2,4,7,8,9,11,12],[2,5,6,7,11,13,14],[2,6,8,9,10,11,13],[3,4,5,9,12,13,14],[3,4,6,7,8,11,13],[3,4,6,7,9,10,14],[3,5,6,7,8,10,12],[3,5,8,10,11,12,14],[4,5,6,8,9,11,12]]; G[9331]:=Group([(1,7)(2,6)(9,13)(10,11)(12,14)]); # Design 9332: autom. group order 2, simple, residual B[9332]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,10,13,14],[1,3,5,9,10,13,14],[1,3,6,7,8,9,11],[1,4,5,6,8,12,13],[1,4,6,7,10,11,14],[1,4,7,9,10,12,13],[1,5,7,8,10,11,12],[1,8,9,11,12,13,14],[2,3,6,8,10,12,13],[2,3,7,9,10,11,12],[2,4,5,7,8,9,13],[2,4,5,10,11,12,14],[2,4,7,8,11,13,14],[2,5,6,9,10,11,13],[2,6,7,8,9,12,14],[3,4,5,7,9,12,14],[3,4,6,8,10,12,14],[3,4,6,9,11,13,14],[3,5,6,7,11,12,13],[3,5,7,8,10,13,14],[4,5,6,8,9,10,11]]; G[9332]:=Group([(2,13)(3,12)(5,9)(6,10)]); # Design 9333: autom. group order 2, simple B[9333]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,6,8,9,13,14],[1,3,5,9,10,13,14],[1,3,6,7,10,12,14],[1,4,5,6,8,12,13],[1,4,6,7,10,11,14],[1,4,7,8,9,10,11],[1,5,10,11,12,13,14],[1,7,8,9,11,12,13],[2,3,7,8,10,12,13],[2,3,7,9,11,12,14],[2,4,5,7,10,11,13],[2,4,5,9,10,12,14],[2,4,6,9,11,13,14],[2,5,6,8,10,11,12],[2,6,7,8,10,13,14],[3,4,5,7,8,13,14],[3,4,6,8,11,12,14],[3,4,6,9,10,12,13],[3,5,6,7,9,11,13],[3,5,6,8,9,10,11],[4,5,7,8,9,12,14]]; G[9333]:=Group([(2,13)(3,12)(4,11)(6,14)(7,10)]); # Design 9334: autom. group order 2, simple B[9334]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,12,13,14],[1,2,6,7,9,10,12],[1,3,5,9,10,13,14],[1,3,6,8,9,12,13],[1,4,5,6,10,11,14],[1,4,6,7,8,9,14],[1,4,7,8,11,12,13],[1,5,7,8,10,11,12],[1,7,9,10,11,13,14],[2,3,7,8,10,13,14],[2,3,7,9,11,12,14],[2,4,5,7,8,10,13],[2,4,5,7,9,12,14],[2,4,6,9,10,11,13],[2,5,6,8,9,11,13],[2,6,8,10,11,12,14],[3,4,5,9,10,11,12],[3,4,6,7,11,13,14],[3,4,6,8,10,12,14],[3,5,6,7,8,9,11],[3,5,6,7,10,12,13],[4,5,8,9,12,13,14]]; G[9334]:=Group([(1,6)(2,7)(4,5)(8,13)(9,12)]); # Design 9335: autom. group order 2, simple B[9335]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,14],[1,2,6,7,9,12,13],[1,3,5,10,12,13,14],[1,3,6,8,10,11,12],[1,4,5,6,8,9,13],[1,4,6,7,11,13,14],[1,4,7,9,10,11,14],[1,5,7,8,9,11,12],[1,7,8,10,12,13,14],[2,3,7,8,9,13,14],[2,3,7,9,10,11,13],[2,4,5,7,8,12,14],[2,4,5,7,10,11,12],[2,4,6,8,10,12,13],[2,5,6,10,11,13,14],[2,6,8,9,11,12,14],[3,4,5,9,12,13,14],[3,4,6,7,8,10,14],[3,4,6,9,11,12,14],[3,5,6,7,8,11,13],[3,5,6,7,9,10,12],[4,5,8,9,10,11,13]]; G[9335]:=Group([(1,6)(2,7)(4,5)(9,13)(10,11)]); # Design 9336: autom. group order 2, simple B[9336]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,10,12],[1,3,5,9,10,11,13],[1,3,6,10,12,13,14],[1,4,5,6,8,13,14],[1,4,6,7,9,10,13],[1,4,7,9,11,12,14],[1,5,7,8,11,12,13],[1,7,8,9,10,11,14],[2,3,7,8,9,13,14],[2,3,7,10,12,13,14],[2,4,5,7,9,13,14],[2,4,5,7,10,11,12],[2,4,6,8,10,11,14],[2,5,6,9,10,11,13],[2,6,8,9,11,12,13],[3,4,5,8,9,10,12],[3,4,6,7,8,11,13],[3,4,6,9,11,12,14],[3,5,6,7,8,9,12],[3,5,6,7,10,11,14],[4,5,8,10,12,13,14]]; G[9336]:=Group([(1,6)(2,7)(4,5)(10,12)(13,14)]); # Design 9337: autom. group order 2, simple B[9337]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,13,14],[1,3,5,9,10,11,13],[1,3,6,10,12,13,14],[1,4,5,6,8,10,12],[1,4,6,7,9,10,13],[1,4,7,9,11,12,14],[1,5,7,8,11,12,13],[1,7,8,9,10,11,14],[2,3,7,8,9,10,12],[2,3,7,10,12,13,14],[2,4,5,7,9,13,14],[2,4,5,7,10,11,12],[2,4,6,8,10,11,14],[2,5,6,9,10,11,13],[2,6,8,9,11,12,13],[3,4,5,8,9,13,14],[3,4,6,7,8,11,13],[3,4,6,9,11,12,14],[3,5,6,7,8,9,12],[3,5,6,7,10,11,14],[4,5,8,10,12,13,14]]; G[9337]:=Group([(1,6)(2,7)(4,5)(10,12)(13,14)]); # Design 9338: autom. group order 2, simple B[9338]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,6,7,8,9,13],[1,3,5,10,11,13,14],[1,3,6,9,12,13,14],[1,4,5,6,8,12,14],[1,4,6,7,10,13,14],[1,4,7,8,9,11,14],[1,5,7,9,10,11,12],[1,7,8,10,11,12,13],[2,3,7,8,10,12,14],[2,3,7,9,12,13,14],[2,4,5,7,9,11,13],[2,4,5,7,10,12,14],[2,4,6,10,11,13,14],[2,5,6,8,11,12,13],[2,6,8,9,10,11,14],[3,4,5,8,9,10,13],[3,4,6,7,8,11,12],[3,4,6,9,10,11,12],[3,5,6,7,8,10,13],[3,5,6,7,9,11,14],[4,5,8,9,12,13,14]]; G[9338]:=Group([(1,6)(2,7)(4,5)(9,13)(12,14)]); # Design 9339: autom. group order 2, simple, residual B[9339]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,14],[1,2,6,7,8,9,12],[1,3,5,10,12,13,14],[1,3,6,8,10,11,13],[1,4,5,6,9,12,13],[1,4,6,7,11,12,14],[1,4,7,9,10,11,14],[1,5,7,8,9,11,13],[1,7,8,10,12,13,14],[2,3,7,9,10,11,12],[2,3,7,9,12,13,14],[2,4,5,7,8,13,14],[2,4,5,7,10,11,13],[2,4,6,8,10,12,13],[2,5,6,10,11,12,14],[2,6,8,9,11,13,14],[3,4,5,8,9,12,14],[3,4,6,7,8,10,14],[3,4,6,9,11,13,14],[3,5,6,7,8,11,12],[3,5,6,7,9,10,13],[4,5,8,9,10,11,12]]; G[9339]:=Group([(1,6)(2,7)(4,5)(9,12)(10,11)]); # Design 9340: autom. group order 2, simple B[9340]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,9,10,13],[1,3,5,10,11,13,14],[1,3,6,9,12,13,14],[1,4,5,6,10,12,14],[1,4,6,7,8,13,14],[1,4,7,8,9,11,14],[1,5,7,9,10,11,12],[1,7,8,10,11,12,13],[2,3,7,8,10,12,14],[2,3,7,9,12,13,14],[2,4,5,7,9,11,13],[2,4,5,7,10,12,14],[2,4,6,10,11,13,14],[2,5,6,8,11,12,13],[2,6,8,9,10,11,14],[3,4,5,8,9,10,13],[3,4,6,7,8,11,12],[3,4,6,9,10,11,12],[3,5,6,7,8,10,13],[3,5,6,7,9,11,14],[4,5,8,9,12,13,14]]; G[9340]:=Group([(1,6)(2,7)(4,5)(9,13)(12,14)]); # Design 9341: autom. group order 2, simple, residual B[9341]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,8,12],[1,2,6,9,11,12,14],[1,3,5,7,9,10,13],[1,3,6,8,9,13,14],[1,4,5,6,10,13,14],[1,4,7,8,10,11,14],[1,4,7,9,10,11,12],[1,5,7,9,12,13,14],[1,6,8,10,11,12,13],[2,3,6,7,10,11,13],[2,3,7,10,12,13,14],[2,4,5,6,9,10,12],[2,4,5,9,11,13,14],[2,4,7,8,12,13,14],[2,5,8,9,10,11,13],[2,6,7,8,9,10,14],[3,4,5,8,10,12,14],[3,4,6,7,9,11,14],[3,4,6,8,9,12,13],[3,5,6,10,11,12,14],[3,5,7,8,9,11,12],[4,5,6,7,8,11,13]]; G[9341]:=Group([(1,9)(3,10)(4,8)(6,11)(7,13)(12,14)]); # Design 9342: autom. group order 2, simple B[9342]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,9,10,11],[1,3,5,10,12,13,14],[1,3,6,7,11,12,14],[1,4,5,6,9,13,14],[1,4,7,8,10,12,13],[1,4,8,9,11,13,14],[1,5,7,9,10,11,13],[1,6,7,8,10,12,14],[2,3,6,8,10,13,14],[2,3,7,9,10,13,14],[2,4,5,6,10,12,13],[2,4,5,7,10,11,14],[2,4,7,8,9,12,14],[2,5,7,8,11,12,13],[2,6,9,11,12,13,14],[3,4,5,7,9,12,14],[3,4,6,7,8,11,13],[3,4,6,9,10,11,12],[3,5,6,7,8,9,13],[3,5,8,9,10,11,12],[4,5,6,8,10,11,14]]; G[9342]:=Group([(1,12)(3,13)(4,11)(6,8)(10,14)]); # Design 9343: autom. group order 2, simple, residual B[9343]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,11],[1,2,5,6,8,12,14],[1,2,6,10,11,13,14],[1,3,5,10,12,13,14],[1,3,6,7,10,11,12],[1,4,5,6,9,10,13],[1,4,7,8,9,11,14],[1,4,7,8,10,13,14],[1,5,7,9,11,12,14],[1,6,7,8,9,12,13],[2,3,6,7,9,13,14],[2,3,7,8,10,12,14],[2,4,5,7,10,11,14],[2,4,5,9,12,13,14],[2,4,6,7,9,10,12],[2,5,6,7,8,11,13],[2,8,9,10,11,12,13],[3,4,5,7,8,12,13],[3,4,6,8,11,13,14],[3,4,6,9,11,12,14],[3,5,6,8,9,10,14],[3,5,7,9,10,11,13],[4,5,6,8,10,11,12]]; G[9343]:=Group([(1,14)(2,6)(4,9)(5,13)(8,11)(10,12)]); # Design 9344: autom. group order 2, simple, residual B[9344]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,6,7,8,12,14],[1,3,5,10,12,13,14],[1,3,6,7,10,11,13],[1,4,5,6,9,11,14],[1,4,7,8,11,13,14],[1,4,7,9,10,12,14],[1,5,7,8,9,10,13],[1,6,8,9,10,11,12],[2,3,6,7,9,10,11],[2,3,7,8,9,12,14],[2,4,5,7,8,10,13],[2,4,5,9,10,11,14],[2,4,6,10,12,13,14],[2,5,7,9,11,12,13],[2,6,8,10,11,13,14],[3,4,5,6,8,10,12],[3,4,6,7,9,13,14],[3,4,8,9,11,12,13],[3,5,6,8,9,13,14],[3,5,7,10,11,12,14],[4,5,6,7,8,11,12]]; G[9344]:=Group([(2,9)(3,10)(4,8)(5,12)(7,11)]); # Design 9345: autom. group order 2, simple B[9345]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,6,7,8,12,14],[1,3,5,10,12,13,14],[1,3,6,7,10,11,13],[1,4,5,6,9,11,14],[1,4,7,8,11,13,14],[1,4,7,9,10,12,14],[1,5,7,8,9,10,13],[1,6,8,9,10,11,12],[2,3,6,9,10,13,14],[2,3,7,8,9,12,14],[2,4,5,7,8,10,13],[2,4,5,9,10,11,14],[2,4,6,7,10,11,12],[2,5,7,9,11,12,13],[2,6,8,10,11,13,14],[3,4,5,6,8,10,12],[3,4,6,7,9,13,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,11],[3,5,7,10,11,12,14],[4,5,6,8,12,13,14]]; G[9345]:=Group([(2,9)(3,10)(4,8)(5,12)(7,11)]); # Design 9346: autom. group order 2, simple B[9346]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,10,12,14],[1,3,5,7,9,13,14],[1,3,6,9,10,11,14],[1,4,5,6,7,10,13],[1,4,7,8,9,12,13],[1,4,7,8,10,11,14],[1,5,8,10,11,12,13],[1,6,9,11,12,13,14],[2,3,7,8,12,13,14],[2,3,7,9,10,11,13],[2,4,5,6,11,13,14],[2,4,5,9,10,11,12],[2,4,6,8,9,13,14],[2,5,7,9,10,12,14],[2,6,7,8,10,11,13],[3,4,5,10,12,13,14],[3,4,6,7,9,11,12],[3,4,6,8,10,12,14],[3,5,6,7,8,11,12],[3,5,6,8,9,10,13],[4,5,7,8,9,11,14]]; G[9346]:=Group([(2,12)(3,13)(4,11)(5,9)(7,14)]); # Design 9347: autom. group order 2, simple, residual B[9347]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,12,13],[1,3,5,10,12,13,14],[1,3,6,7,10,11,14],[1,4,5,6,9,11,13],[1,4,7,8,11,13,14],[1,4,7,9,10,12,14],[1,5,7,8,9,10,13],[1,6,8,9,10,11,12],[2,3,7,8,9,12,14],[2,3,7,9,10,11,13],[2,4,5,6,7,8,10],[2,4,5,9,10,11,14],[2,4,6,10,12,13,14],[2,5,7,9,11,12,13],[2,6,8,10,11,13,14],[3,4,5,8,10,12,13],[3,4,6,7,9,13,14],[3,4,6,8,9,11,12],[3,5,6,7,10,11,12],[3,5,6,8,9,13,14],[4,5,7,8,11,12,14]]; G[9347]:=Group([(2,9)(3,10)(4,8)(5,12)(7,11)]); # Design 9348: autom. group order 2, simple, residual B[9348]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,6,7,8,9,12],[1,3,5,9,10,13,14],[1,3,6,7,10,11,14],[1,4,5,6,8,13,14],[1,4,7,8,9,11,14],[1,4,7,10,12,13,14],[1,5,7,9,11,12,13],[1,6,8,10,11,12,13],[2,3,7,8,12,13,14],[2,3,7,9,10,11,13],[2,4,5,6,7,11,13],[2,4,5,10,11,12,14],[2,4,6,9,10,13,14],[2,5,7,8,10,12,14],[2,6,8,9,11,13,14],[3,4,5,8,9,12,13],[3,4,6,7,9,12,14],[3,4,6,8,10,11,12],[3,5,6,7,8,10,13],[3,5,6,9,11,12,14],[4,5,7,8,9,10,11]]; G[9348]:=Group([(2,12)(3,13)(4,11)(5,10)(7,8)]); # Design 9349: autom. group order 2, simple B[9349]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,6,7,8,12,14],[1,3,5,10,12,13,14],[1,3,6,7,10,11,13],[1,4,5,6,9,11,14],[1,4,7,8,11,13,14],[1,4,7,9,10,12,14],[1,5,7,8,9,10,13],[1,6,8,9,10,11,12],[2,3,7,8,9,12,13],[2,3,7,9,10,11,14],[2,4,5,6,7,8,10],[2,4,5,9,10,11,13],[2,4,6,10,12,13,14],[2,5,8,10,11,12,14],[2,6,7,9,11,13,14],[3,4,5,7,9,12,14],[3,4,6,8,9,11,12],[3,4,6,8,10,13,14],[3,5,6,7,10,11,12],[3,5,6,8,9,13,14],[4,5,7,8,11,12,13]]; G[9349]:=Group([(2,9)(3,10)(4,8)(5,12)(7,11)]); # Design 9350: autom. group order 2, simple B[9350]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,12,13],[1,3,5,10,12,13,14],[1,3,6,7,10,11,14],[1,4,5,6,9,11,13],[1,4,7,8,11,13,14],[1,4,7,9,10,12,14],[1,5,7,8,9,10,13],[1,6,8,9,10,11,12],[2,3,7,8,9,12,14],[2,3,7,9,10,11,13],[2,4,5,6,7,8,10],[2,4,5,9,10,11,14],[2,4,6,10,12,13,14],[2,5,8,10,11,12,13],[2,6,7,9,11,13,14],[3,4,5,7,9,12,13],[3,4,6,8,9,11,12],[3,4,6,8,10,13,14],[3,5,6,7,10,11,12],[3,5,6,8,9,13,14],[4,5,7,8,11,12,14]]; G[9350]:=Group([(2,9)(3,10)(4,8)(5,12)(7,11)]); # Design 9351: autom. group order 2, simple, residual B[9351]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,9,11,14],[1,3,5,7,9,10,13],[1,3,6,7,10,13,14],[1,4,5,6,10,12,14],[1,4,7,8,10,11,14],[1,4,8,9,12,13,14],[1,5,7,8,11,12,13],[1,6,9,10,11,12,13],[2,3,7,8,10,12,13],[2,3,9,10,11,12,14],[2,4,5,7,12,13,14],[2,4,5,9,10,13,14],[2,4,6,7,9,11,13],[2,5,6,8,10,11,13],[2,6,7,8,10,12,14],[3,4,5,6,10,11,12],[3,4,6,7,8,9,12],[3,4,6,8,11,13,14],[3,5,6,8,9,13,14],[3,5,7,9,11,12,14],[4,5,7,8,9,10,11]]; G[9351]:=Group([(2,12)(3,13)(4,11)(5,9)(7,10)]); # Design 9352: autom. group order 2, simple, residual B[9352]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,9,10,11,14],[1,3,5,7,9,13,14],[1,3,6,7,10,13,14],[1,4,5,6,7,10,12],[1,4,7,8,9,12,13],[1,4,7,8,10,11,14],[1,5,8,10,11,12,13],[1,6,9,11,12,13,14],[2,3,7,8,12,13,14],[2,3,7,9,10,11,12],[2,4,5,9,10,13,14],[2,4,5,10,12,13,14],[2,4,6,7,9,11,13],[2,5,6,7,8,11,13],[2,6,7,8,10,12,14],[3,4,5,6,11,12,14],[3,4,6,8,9,12,14],[3,4,6,8,10,11,13],[3,5,6,8,9,10,13],[3,5,7,9,10,11,12],[4,5,7,8,9,11,14]]; G[9352]:=Group([(2,12)(3,13)(4,11)(5,9)(7,14)]); # Design 9353: autom. group order 2, simple B[9353]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,12,13],[1,3,5,7,10,11,12],[1,3,6,7,10,13,14],[1,4,5,7,9,13,14],[1,4,6,8,11,13,14],[1,4,6,9,10,11,12],[1,5,8,9,10,11,13],[1,7,8,9,10,12,14],[2,3,6,9,10,11,14],[2,3,8,9,12,13,14],[2,4,5,6,9,10,13],[2,4,5,7,8,10,14],[2,4,7,10,11,12,14],[2,5,7,9,11,12,13],[2,6,7,8,10,11,13],[3,4,5,8,10,12,13],[3,4,6,7,8,9,12],[3,4,7,9,11,13,14],[3,5,6,7,8,9,11],[3,5,6,10,12,13,14],[4,5,6,8,11,12,14]]; G[9353]:=Group([(2,9)(3,10)(4,8)(5,12)(6,14)]); # Design 9354: autom. group order 2, simple B[9354]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,12,14],[1,2,6,8,9,13,14],[1,3,5,9,10,12,13],[1,3,6,10,11,12,14],[1,4,5,7,10,11,13],[1,4,6,7,8,10,12],[1,4,6,8,9,11,13],[1,5,7,9,10,13,14],[1,7,8,9,11,12,14],[2,3,6,7,9,10,11],[2,3,7,8,10,13,14],[2,4,5,7,8,9,12],[2,4,5,9,10,11,14],[2,4,6,10,12,13,14],[2,5,6,9,11,12,13],[2,7,8,10,11,12,13],[3,4,5,8,12,13,14],[3,4,6,7,9,13,14],[3,4,7,9,11,12,14],[3,5,6,7,8,11,13],[3,5,6,8,9,10,12],[4,5,6,8,10,11,14]]; G[9354]:=Group([(1,13)(3,12)(4,11)(5,10)(6,8)]); # Design 9355: autom. group order 2, simple B[9355]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,12,14],[1,2,6,8,9,13,14],[1,3,5,9,10,12,13],[1,3,6,10,11,12,14],[1,4,5,7,10,11,13],[1,4,6,7,8,11,13],[1,4,6,8,9,10,12],[1,5,7,9,10,13,14],[1,7,8,9,11,12,14],[2,3,6,7,9,10,11],[2,3,7,8,10,13,14],[2,4,5,7,8,9,12],[2,4,5,9,10,11,14],[2,4,6,10,12,13,14],[2,5,6,9,11,12,13],[2,7,8,10,11,12,13],[3,4,5,8,12,13,14],[3,4,6,7,9,13,14],[3,4,7,9,11,12,14],[3,5,6,7,8,10,12],[3,5,6,8,9,11,13],[4,5,6,8,10,11,14]]; G[9355]:=Group([(1,13)(3,12)(4,11)(5,10)(6,8)]); # Design 9356: autom. group order 2, simple B[9356]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,9,10,13],[1,3,5,7,10,12,14],[1,3,6,7,8,13,14],[1,4,5,7,9,10,11],[1,4,6,8,9,12,13],[1,4,6,8,10,11,14],[1,5,8,10,11,12,13],[1,7,9,11,12,13,14],[2,3,6,9,10,11,12],[2,3,7,8,10,12,13],[2,4,5,8,9,13,14],[2,4,5,10,12,13,14],[2,4,6,7,11,12,14],[2,5,6,7,8,11,13],[2,7,8,9,10,11,14],[3,4,5,7,9,11,13],[3,4,6,10,11,13,14],[3,4,7,8,9,12,14],[3,5,6,8,9,11,12],[3,5,6,9,10,13,14],[4,5,6,7,8,10,12]]; G[9356]:=Group([(2,12)(3,13)(4,11)(5,9)(6,14)]); # Design 9357: autom. group order 2, simple, residual B[9357]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,10,12,14],[1,3,5,7,9,10,13],[1,3,6,7,8,13,14],[1,4,5,7,9,10,11],[1,4,6,8,9,12,13],[1,4,6,8,10,11,14],[1,5,8,10,11,12,13],[1,7,9,11,12,13,14],[2,3,6,9,10,11,12],[2,3,7,8,10,12,13],[2,4,5,8,9,13,14],[2,4,5,10,12,13,14],[2,4,6,7,9,11,13],[2,5,6,7,8,11,13],[2,7,8,9,10,11,14],[3,4,5,7,11,12,14],[3,4,6,10,11,13,14],[3,4,7,8,9,12,14],[3,5,6,8,9,11,12],[3,5,6,9,10,13,14],[4,5,6,7,8,10,12]]; G[9357]:=Group([(2,12)(3,13)(4,11)(5,9)(6,14)]); # Design 9358: autom. group order 2, simple B[9358]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,13,14],[1,3,5,7,9,10,13],[1,3,6,9,10,11,12],[1,4,5,8,10,12,13],[1,4,6,7,9,11,13],[1,4,6,8,10,11,14],[1,5,7,10,12,13,14],[1,7,8,9,11,12,14],[2,3,6,7,8,12,13],[2,3,10,11,12,13,14],[2,4,5,7,9,11,12],[2,4,5,7,10,11,14],[2,4,6,9,10,13,14],[2,5,6,8,9,10,12],[2,7,8,9,10,11,13],[3,4,5,8,9,13,14],[3,4,6,7,10,12,14],[3,4,7,8,9,12,14],[3,5,6,7,8,10,11],[3,5,6,9,11,13,14],[4,5,6,8,11,12,13]]; G[9358]:=Group([(1,10)(3,9)(4,8)(5,13)(6,11)]); # Design 9359: autom. group order 2, simple B[9359]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,12,13],[1,3,5,7,9,10,13],[1,3,6,9,10,11,12],[1,4,5,8,10,13,14],[1,4,6,7,8,10,11],[1,4,6,9,11,13,14],[1,5,7,10,12,13,14],[1,7,8,9,11,12,14],[2,3,6,7,8,13,14],[2,3,10,11,12,13,14],[2,4,5,7,9,11,14],[2,4,5,7,10,11,12],[2,4,6,9,10,13,14],[2,5,6,8,9,10,12],[2,7,8,9,10,11,13],[3,4,5,8,9,12,13],[3,4,6,7,10,12,14],[3,4,7,8,9,12,14],[3,5,6,7,9,11,13],[3,5,6,8,10,11,14],[4,5,6,8,11,12,13]]; G[9359]:=Group([(1,10)(3,9)(4,8)(5,13)(6,11)]); # Design 9360: autom. group order 2, simple B[9360]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,12,13],[1,3,5,7,9,10,13],[1,3,6,9,10,11,14],[1,4,5,8,10,13,14],[1,4,6,7,8,10,11],[1,4,6,9,11,12,13],[1,5,7,10,12,13,14],[1,7,8,9,11,12,14],[2,3,6,7,8,13,14],[2,3,10,11,12,13,14],[2,4,5,7,9,11,14],[2,4,5,7,10,11,12],[2,4,6,9,10,13,14],[2,5,6,8,9,10,12],[2,7,8,9,10,11,13],[3,4,5,8,9,12,13],[3,4,6,7,10,12,14],[3,4,7,8,9,12,14],[3,5,6,7,9,11,13],[3,5,6,8,10,11,12],[4,5,6,8,11,13,14]]; G[9360]:=Group([(1,10)(3,9)(4,8)(5,13)(6,11)]); # Design 9361: autom. group order 2, simple, residual B[9361]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,10,12,14],[1,3,5,7,9,10,13],[1,3,6,7,8,13,14],[1,4,5,7,9,10,11],[1,4,6,8,9,12,13],[1,4,6,8,10,11,14],[1,5,8,10,11,12,13],[1,7,9,11,12,13,14],[2,3,7,8,10,12,13],[2,3,9,10,11,12,14],[2,4,5,6,10,12,13],[2,4,5,7,11,13,14],[2,4,7,8,9,13,14],[2,5,6,8,9,11,13],[2,6,7,8,9,10,11],[3,4,5,8,9,12,14],[3,4,6,7,9,11,12],[3,4,6,10,11,13,14],[3,5,6,7,8,11,12],[3,5,6,9,10,13,14],[4,5,7,8,10,12,14]]; G[9361]:=Group([(2,12)(3,13)(4,11)(5,9)(6,14)]); # Design 9362: autom. group order 2, simple, residual B[9362]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,10,13],[1,3,5,7,9,10,12],[1,3,6,9,10,13,14],[1,4,5,7,10,11,14],[1,4,6,7,8,12,13],[1,4,6,9,11,13,14],[1,5,8,9,11,12,13],[1,7,8,10,11,12,14],[2,3,7,8,9,13,14],[2,3,7,11,12,13,14],[2,4,5,6,8,12,14],[2,4,5,9,10,11,13],[2,4,7,9,10,12,14],[2,5,6,7,10,11,13],[2,6,8,9,10,11,12],[3,4,5,8,10,12,13],[3,4,6,7,9,11,12],[3,4,6,8,10,11,14],[3,5,6,7,8,9,11],[3,5,6,10,12,13,14],[4,5,7,8,9,13,14]]; G[9362]:=Group([(1,9)(3,10)(5,12)(6,14)]); # Design 9363: autom. group order 2, simple, residual B[9363]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,6,8,9,10,13],[1,3,5,8,10,12,14],[1,3,6,7,10,11,13],[1,4,5,7,9,13,14],[1,4,6,8,9,11,14],[1,4,7,10,11,12,14],[1,5,6,10,12,13,14],[1,7,8,9,11,12,13],[2,3,6,9,12,13,14],[2,3,7,9,11,12,14],[2,4,5,6,10,11,12],[2,4,5,7,8,13,14],[2,4,7,8,10,12,13],[2,5,9,10,11,13,14],[2,6,7,8,10,11,14],[3,4,5,9,10,11,13],[3,4,6,7,9,10,14],[3,4,6,8,12,13,14],[3,5,6,7,8,11,13],[3,5,7,8,9,10,12],[4,5,6,8,9,11,12]]; G[9363]:=Group([(1,10)(2,9)(6,13)(7,11)(12,14)]); # Design 9364: autom. group order 2, simple, residual B[9364]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,6,7,8,9,13],[1,3,5,7,8,12,14],[1,3,6,9,12,13,14],[1,4,5,7,10,12,13],[1,4,6,8,10,11,13],[1,4,7,9,11,13,14],[1,5,6,7,10,11,14],[1,8,9,10,11,12,14],[2,3,6,10,12,13,14],[2,3,7,10,11,13,14],[2,4,5,6,9,11,14],[2,4,5,8,10,13,14],[2,4,7,8,9,12,14],[2,5,7,9,11,12,13],[2,6,7,8,10,11,12],[3,4,5,9,10,11,12],[3,4,6,7,8,11,12],[3,4,6,7,9,10,14],[3,5,6,8,9,11,13],[3,5,7,8,9,10,13],[4,5,6,8,12,13,14]]; G[9364]:=Group([(1,9)(2,10)(6,12)(7,11)(13,14)]); # Design 9365: autom. group order 2, simple, residual B[9365]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,6,7,8,12,14],[1,3,5,10,12,13,14],[1,3,6,7,10,11,13],[1,4,5,7,9,10,14],[1,4,6,9,11,12,14],[1,4,7,8,11,13,14],[1,5,6,8,9,10,11],[1,7,8,9,10,12,13],[2,3,6,7,9,10,11],[2,3,7,8,9,13,14],[2,4,5,6,10,13,14],[2,4,5,7,8,10,12],[2,4,9,10,11,13,14],[2,5,7,9,11,12,13],[2,6,8,10,11,12,14],[3,4,5,8,9,11,12],[3,4,6,7,9,12,14],[3,4,6,8,10,12,13],[3,5,6,8,9,13,14],[3,5,7,10,11,12,14],[4,5,6,7,8,11,13]]; G[9365]:=Group([(2,9)(3,10)(4,8)(7,11)]); # Design 9366: autom. group order 2, simple, residual B[9366]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,6,8,9,13,14],[1,3,5,9,10,12,13],[1,3,6,10,11,12,14],[1,4,5,7,10,11,13],[1,4,6,7,8,10,12],[1,4,7,9,11,13,14],[1,5,6,8,10,13,14],[1,7,8,9,11,12,14],[2,3,6,7,10,11,14],[2,3,7,8,9,10,13],[2,4,5,7,8,12,14],[2,4,5,9,10,11,14],[2,4,6,10,12,13,14],[2,5,6,9,11,12,13],[2,7,8,10,11,12,13],[3,4,5,8,12,13,14],[3,4,6,7,9,13,14],[3,4,6,8,9,11,12],[3,5,6,7,8,11,13],[3,5,7,9,10,12,14],[4,5,6,8,9,10,11]]; G[9366]:=Group([(1,13)(3,12)(4,11)(5,10)(6,8)]); # Design 9367: autom. group order 2, simple B[9367]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,6,8,9,13,14],[1,3,5,10,12,13,14],[1,3,6,9,10,11,12],[1,4,5,7,10,11,13],[1,4,6,7,8,10,12],[1,4,7,9,11,13,14],[1,5,6,8,10,13,14],[1,7,8,9,11,12,14],[2,3,6,7,10,11,14],[2,3,7,8,9,10,13],[2,4,5,7,8,12,14],[2,4,5,9,10,11,14],[2,4,6,10,12,13,14],[2,5,6,9,11,12,13],[2,7,8,10,11,12,13],[3,4,5,8,9,12,13],[3,4,6,7,9,13,14],[3,4,6,8,11,12,14],[3,5,6,7,8,11,13],[3,5,7,9,10,12,14],[4,5,6,8,9,10,11]]; G[9367]:=Group([(1,13)(3,12)(4,11)(5,10)(6,8)]); # Design 9368: autom. group order 2, simple B[9368]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,12,14],[1,2,6,8,9,13,14],[1,3,5,9,10,12,13],[1,3,6,10,11,12,14],[1,4,5,7,10,11,13],[1,4,6,7,8,10,12],[1,4,7,9,11,13,14],[1,5,6,8,9,10,13],[1,7,8,9,11,12,14],[2,3,6,7,9,10,11],[2,3,7,8,10,13,14],[2,4,5,7,8,9,12],[2,4,5,9,10,11,14],[2,4,6,10,12,13,14],[2,5,6,9,11,12,13],[2,7,8,10,11,12,13],[3,4,5,8,12,13,14],[3,4,6,7,9,13,14],[3,4,6,8,9,11,12],[3,5,6,7,8,11,13],[3,5,7,9,10,12,14],[4,5,6,8,10,11,14]]; G[9368]:=Group([(1,13)(3,12)(4,11)(5,10)(6,8)]); # Design 9369: autom. group order 2, simple, residual B[9369]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,12,14],[1,2,6,8,9,13,14],[1,3,5,10,12,13,14],[1,3,6,9,10,11,12],[1,4,5,7,10,11,13],[1,4,6,7,8,10,12],[1,4,7,9,11,13,14],[1,5,6,8,9,10,13],[1,7,8,9,11,12,14],[2,3,6,7,9,10,11],[2,3,7,8,10,13,14],[2,4,5,7,8,9,12],[2,4,5,9,10,11,14],[2,4,6,10,12,13,14],[2,5,6,9,11,12,13],[2,7,8,10,11,12,13],[3,4,5,8,9,12,13],[3,4,6,7,9,13,14],[3,4,6,8,11,12,14],[3,5,6,7,8,11,13],[3,5,7,9,10,12,14],[4,5,6,8,10,11,14]]; G[9369]:=Group([(1,13)(3,12)(4,11)(5,10)(6,8)]); # Design 9370: autom. group order 2, simple, residual B[9370]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,6,7,9,12,14],[1,3,5,7,10,13,14],[1,3,6,7,8,9,13],[1,4,5,7,10,11,14],[1,4,6,8,9,11,14],[1,4,8,10,12,13,14],[1,5,6,8,11,12,13],[1,7,9,10,11,12,13],[2,3,6,10,11,12,14],[2,3,7,8,12,13,14],[2,4,5,7,9,11,13],[2,4,5,9,12,13,14],[2,4,6,7,8,10,13],[2,5,6,8,10,11,13],[2,7,8,9,10,11,14],[3,4,5,8,9,10,12],[3,4,6,7,10,11,12],[3,4,6,9,11,13,14],[3,5,6,9,10,13,14],[3,5,7,8,9,11,12],[4,5,6,7,8,12,14]]; G[9370]:=Group([(2,12)(3,13)(4,11)(5,10)(6,9)]); # Design 9371: autom. group order 2, simple, residual B[9371]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,9,13],[1,3,5,7,10,12,13],[1,3,6,9,10,11,12],[1,4,5,10,11,13,14],[1,4,6,7,8,10,12],[1,4,7,9,11,13,14],[1,5,6,8,10,13,14],[1,7,8,9,11,12,14],[2,3,6,7,10,11,14],[2,3,8,9,10,13,14],[2,4,5,7,8,12,14],[2,4,5,7,9,10,11],[2,4,6,10,12,13,14],[2,5,6,9,11,12,13],[2,7,8,10,11,12,13],[3,4,5,8,9,12,13],[3,4,6,7,9,13,14],[3,4,6,8,11,12,14],[3,5,6,7,8,11,13],[3,5,7,9,10,12,14],[4,5,6,8,9,10,11]]; G[9371]:=Group([(1,13)(3,12)(4,11)(5,10)(6,8)]); # Design 9372: autom. group order 2, simple B[9372]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,12,13],[1,3,5,7,9,10,13],[1,3,6,9,10,11,12],[1,4,5,8,10,13,14],[1,4,6,7,9,11,13],[1,4,7,8,10,12,14],[1,5,6,10,11,13,14],[1,7,8,9,11,12,14],[2,3,6,7,8,13,14],[2,3,10,11,12,13,14],[2,4,5,7,9,11,14],[2,4,5,7,10,11,12],[2,4,6,9,10,13,14],[2,5,6,8,9,10,12],[2,7,8,9,10,11,13],[3,4,5,8,9,12,13],[3,4,6,7,10,12,14],[3,4,6,8,9,11,14],[3,5,6,7,8,10,11],[3,5,7,9,12,13,14],[4,5,6,8,11,12,13]]; G[9372]:=Group([(1,10)(3,9)(4,8)(5,13)(6,11)]); # Design 9373: autom. group order 2, simple B[9373]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,12,13],[1,3,5,7,9,10,13],[1,3,6,9,10,11,14],[1,4,5,8,10,13,14],[1,4,6,7,9,11,13],[1,4,7,8,10,12,14],[1,5,6,10,11,12,13],[1,7,8,9,11,12,14],[2,3,6,7,8,13,14],[2,3,10,11,12,13,14],[2,4,5,7,9,11,14],[2,4,5,7,10,11,12],[2,4,6,9,10,13,14],[2,5,6,8,9,10,12],[2,7,8,9,10,11,13],[3,4,5,8,9,12,13],[3,4,6,7,10,12,14],[3,4,6,8,9,11,12],[3,5,6,7,8,10,11],[3,5,7,9,12,13,14],[4,5,6,8,11,13,14]]; G[9373]:=Group([(1,10)(3,9)(4,8)(5,13)(6,11)]); # Design 9374: autom. group order 2, simple, residual B[9374]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,10,12,13],[1,3,5,10,12,13,14],[1,3,6,7,9,10,14],[1,4,5,7,9,11,14],[1,4,6,7,8,11,13],[1,4,8,10,11,12,14],[1,5,6,9,10,11,13],[1,7,8,9,12,13,14],[2,3,6,8,9,13,14],[2,3,7,10,11,13,14],[2,4,5,7,8,10,13],[2,4,5,9,12,13,14],[2,4,6,9,10,11,14],[2,5,6,7,11,12,14],[2,7,8,9,10,11,12],[3,4,5,7,9,10,12],[3,4,6,7,8,12,14],[3,4,6,9,11,12,13],[3,5,6,8,10,11,12],[3,5,7,8,9,11,13],[4,5,6,8,10,13,14]]; G[9374]:=Group([(1,7)(3,10)(4,13)(5,12)(8,11)(9,14)]); # Design 9375: autom. group order 2, simple, residual B[9375]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,7,10,11],[1,2,6,8,11,12,13],[1,3,5,7,10,12,14],[1,3,6,10,11,13,14],[1,4,5,9,11,13,14],[1,4,6,7,8,12,14],[1,4,7,8,9,10,11],[1,5,6,8,9,12,13],[1,7,9,10,12,13,14],[2,3,7,8,10,12,13],[2,3,7,9,11,13,14],[2,4,5,6,10,13,14],[2,4,5,7,9,12,13],[2,4,6,9,10,12,14],[2,5,8,10,11,12,14],[2,6,7,8,9,11,14],[3,4,5,8,11,12,14],[3,4,6,7,8,13,14],[3,4,6,9,10,11,12],[3,5,6,7,9,11,12],[3,5,6,8,9,10,13],[4,5,7,8,10,11,13]]; G[9375]:=Group([(1,12)(2,11)(6,8)(7,14)]); # Design 9376: autom. group order 2, simple, residual B[9376]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,6,7,9,12,14],[1,3,5,7,10,13,14],[1,3,6,7,8,9,13],[1,4,5,7,10,11,14],[1,4,6,8,9,11,14],[1,4,8,10,12,13,14],[1,5,6,8,11,12,13],[1,7,9,10,11,12,13],[2,3,7,8,12,13,14],[2,3,9,10,11,12,14],[2,4,5,6,12,13,14],[2,4,5,8,9,10,13],[2,4,6,7,10,11,13],[2,5,7,8,9,11,13],[2,6,7,8,10,11,14],[3,4,5,7,9,11,12],[3,4,6,7,8,10,12],[3,4,6,9,11,13,14],[3,5,6,8,10,11,12],[3,5,6,9,10,13,14],[4,5,7,8,9,12,14]]; G[9376]:=Group([(2,12)(3,13)(4,11)(5,10)(6,9)]); # Design 9377: autom. group order 2, simple B[9377]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,6,7,9,13,14],[1,3,5,7,10,12,14],[1,3,6,7,8,10,13],[1,4,5,7,9,11,14],[1,4,6,8,10,11,14],[1,4,8,9,12,13,14],[1,5,6,8,11,12,13],[1,7,9,10,11,12,13],[2,3,7,8,12,13,14],[2,3,9,10,11,12,14],[2,4,5,6,12,13,14],[2,4,5,8,9,10,13],[2,4,6,7,10,11,12],[2,5,7,8,10,11,13],[2,6,7,8,9,11,14],[3,4,5,7,9,11,13],[3,4,6,7,8,9,12],[3,4,6,10,11,13,14],[3,5,6,8,9,11,12],[3,5,6,9,10,13,14],[4,5,7,8,10,12,14]]; G[9377]:=Group([(2,12)(3,13)(4,11)(5,9)(6,10)]); # Design 9378: autom. group order 2, simple, residual B[9378]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,6,8,9,11,14],[1,3,5,7,9,13,14],[1,3,6,7,10,13,14],[1,4,5,7,8,10,12],[1,4,6,7,10,11,14],[1,4,7,8,9,12,13],[1,5,6,8,11,12,13],[1,9,10,11,12,13,14],[2,3,7,8,12,13,14],[2,3,7,9,10,11,12],[2,4,5,6,12,13,14],[2,4,5,9,10,13,14],[2,4,6,7,9,11,13],[2,5,7,8,10,11,13],[2,6,7,8,10,12,14],[3,4,5,10,11,12,14],[3,4,6,8,9,12,14],[3,4,6,8,10,11,13],[3,5,6,7,9,11,12],[3,5,6,8,9,10,13],[4,5,7,8,9,11,14]]; G[9378]:=Group([(2,12)(3,13)(4,11)(5,9)(6,10)(7,14)]); # Design 9379: autom. group order 2, simple, residual B[9379]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,10,13],[1,3,5,7,9,13,14],[1,3,6,9,10,11,12],[1,4,5,8,10,12,13],[1,4,6,10,11,12,14],[1,4,7,8,9,11,14],[1,5,7,10,12,13,14],[1,6,7,8,9,11,13],[2,3,6,8,10,13,14],[2,3,7,9,10,12,14],[2,4,5,6,11,13,14],[2,4,5,7,9,10,11],[2,4,6,7,9,12,13],[2,5,7,8,10,11,12],[2,8,9,11,12,13,14],[3,4,5,8,9,12,13],[3,4,6,7,8,12,14],[3,4,7,10,11,13,14],[3,5,6,7,8,11,12],[3,5,6,9,10,11,13],[4,5,6,8,9,10,14]]; G[9379]:=Group([(1,12)(3,9)(4,14)(5,13)(6,11)(7,8)]); # Design 9380: autom. group order 2, simple B[9380]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,9,10,11],[1,3,5,7,9,13,14],[1,3,6,10,11,12,14],[1,4,5,7,10,12,13],[1,4,6,7,8,10,14],[1,4,8,9,12,13,14],[1,5,8,10,11,13,14],[1,6,7,9,11,12,13],[2,3,6,10,12,13,14],[2,3,7,9,10,13,14],[2,4,5,6,9,13,14],[2,4,5,7,11,12,14],[2,4,7,8,10,11,13],[2,5,6,8,10,12,13],[2,7,8,9,11,12,14],[3,4,5,9,10,11,12],[3,4,6,7,8,12,14],[3,4,6,8,9,11,13],[3,5,6,7,8,11,13],[3,5,7,8,9,10,12],[4,5,6,9,10,11,14]]; G[9380]:=Group([(2,13)(3,12)(5,9)(6,14)(7,8)]); # Design 9381: autom. group order 2, simple, residual B[9381]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,6,9,10,12,14],[1,3,5,7,8,10,13],[1,3,6,7,10,11,14],[1,4,5,8,12,13,14],[1,4,6,8,9,11,14],[1,4,7,9,10,13,14],[1,5,7,9,11,12,13],[1,6,8,10,11,12,13],[2,3,6,8,9,12,13],[2,3,7,9,11,13,14],[2,4,5,6,10,13,14],[2,4,5,9,10,11,13],[2,4,7,8,11,12,14],[2,5,7,8,10,12,14],[2,6,7,8,10,11,13],[3,4,5,6,10,11,12],[3,4,6,7,12,13,14],[3,4,7,8,9,10,12],[3,5,6,8,9,13,14],[3,5,9,10,11,12,14],[4,5,6,7,8,9,11]]; G[9381]:=Group([(2,12)(3,13)(4,11)(6,9)]); # Design 9382: autom. group order 2, simple B[9382]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,6,8,9,10,13],[1,3,5,9,10,13,14],[1,3,6,7,10,12,14],[1,4,5,7,8,12,13],[1,4,6,7,10,11,14],[1,4,7,8,9,11,14],[1,5,10,11,12,13,14],[1,6,8,9,11,12,13],[2,3,6,9,11,12,14],[2,3,7,8,12,13,14],[2,4,5,6,10,11,13],[2,4,5,9,10,12,14],[2,4,7,9,11,13,14],[2,5,7,8,10,11,12],[2,6,7,8,10,13,14],[3,4,5,6,8,13,14],[3,4,6,8,10,11,12],[3,4,7,9,10,12,13],[3,5,6,7,9,11,13],[3,5,7,8,9,10,11],[4,5,6,8,9,12,14]]; G[9382]:=Group([(2,13)(3,12)(4,11)(6,10)(7,14)]); # Design 9383: autom. group order 2, simple B[9383]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,6,8,9,10,13],[1,3,5,9,10,13,14],[1,3,6,7,10,12,14],[1,4,5,7,8,12,13],[1,4,6,7,10,11,14],[1,4,7,8,9,11,14],[1,5,10,11,12,13,14],[1,6,8,9,11,12,13],[2,3,6,8,11,12,14],[2,3,7,9,12,13,14],[2,4,5,6,10,11,13],[2,4,5,9,10,12,14],[2,4,7,9,11,13,14],[2,5,7,8,10,11,12],[2,6,7,8,10,13,14],[3,4,5,6,8,13,14],[3,4,6,9,10,11,12],[3,4,7,8,10,12,13],[3,5,6,7,9,11,13],[3,5,7,8,9,10,11],[4,5,6,8,9,12,14]]; G[9383]:=Group([(2,13)(3,12)(4,11)(6,10)(7,14)]); # Design 9384: autom. group order 2, simple B[9384]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,6,8,9,11,14],[1,3,5,9,10,13,14],[1,3,6,7,10,12,14],[1,4,5,7,8,12,13],[1,4,6,7,10,11,14],[1,4,7,8,9,10,13],[1,5,10,11,12,13,14],[1,6,8,9,11,12,13],[2,3,6,8,10,12,13],[2,3,7,9,12,13,14],[2,4,5,6,10,11,13],[2,4,5,9,10,12,14],[2,4,7,9,11,13,14],[2,5,7,8,10,11,12],[2,6,7,8,10,13,14],[3,4,5,6,8,13,14],[3,4,6,9,10,11,12],[3,4,7,8,11,12,14],[3,5,6,7,9,11,13],[3,5,7,8,9,10,11],[4,5,6,8,9,12,14]]; G[9384]:=Group([(2,13)(3,12)(4,11)(6,10)(7,14)]); # Design 9385: autom. group order 2, simple, residual B[9385]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,10,12],[1,3,5,9,10,12,13],[1,3,6,7,9,11,13],[1,4,5,7,11,13,14],[1,4,6,9,10,13,14],[1,4,7,8,10,11,12],[1,5,7,8,9,12,14],[1,6,8,10,11,13,14],[2,3,6,7,8,13,14],[2,3,7,9,10,11,14],[2,4,5,6,9,10,11],[2,4,5,8,10,13,14],[2,4,7,9,12,13,14],[2,5,7,10,11,12,13],[2,6,8,9,11,12,13],[3,4,5,6,8,12,13],[3,4,6,7,10,12,14],[3,4,8,9,11,12,14],[3,5,6,10,11,12,14],[3,5,7,8,9,10,13],[4,5,6,7,8,9,11]]; G[9385]:=Group([(1,12)(3,13)(4,11)(5,9)(7,8)]); # Design 9386: autom. group order 2, simple, residual B[9386]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,12,14],[1,3,5,9,10,12,13],[1,3,6,7,9,11,13],[1,4,5,7,11,13,14],[1,4,6,9,10,13,14],[1,4,7,8,10,11,12],[1,5,7,8,9,10,12],[1,6,8,10,11,13,14],[2,3,6,7,8,10,13],[2,3,7,9,10,11,14],[2,4,5,6,9,10,11],[2,4,5,8,10,13,14],[2,4,7,9,12,13,14],[2,5,7,10,11,12,13],[2,6,8,9,11,12,13],[3,4,5,6,8,12,13],[3,4,6,7,10,12,14],[3,4,8,9,11,12,14],[3,5,6,10,11,12,14],[3,5,7,8,9,13,14],[4,5,6,7,8,9,11]]; G[9386]:=Group([(1,12)(3,13)(4,11)(5,9)(7,8)]); # Design 9387: autom. group order 2, simple B[9387]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,10,12],[1,3,5,9,10,12,13],[1,3,6,7,9,11,13],[1,4,5,7,11,13,14],[1,4,6,10,11,12,14],[1,4,7,8,9,10,13],[1,5,7,8,9,12,14],[1,6,8,10,11,13,14],[2,3,6,7,8,13,14],[2,3,7,9,10,11,14],[2,4,5,6,9,10,11],[2,4,5,8,10,13,14],[2,4,7,9,12,13,14],[2,5,7,10,11,12,13],[2,6,8,9,11,12,13],[3,4,5,6,8,12,13],[3,4,6,7,10,12,14],[3,4,8,9,11,12,14],[3,5,6,9,10,13,14],[3,5,7,8,10,11,12],[4,5,6,7,8,9,11]]; G[9387]:=Group([(1,12)(3,13)(4,11)(5,9)(7,8)]); # Design 9388: autom. group order 2, simple B[9388]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,9,11,14],[1,3,5,10,12,13,14],[1,3,6,7,10,11,12],[1,4,5,7,9,13,14],[1,4,6,9,10,11,13],[1,4,7,8,12,13,14],[1,5,8,9,10,11,13],[1,6,7,8,10,12,14],[2,3,6,8,10,13,14],[2,3,7,9,10,13,14],[2,4,5,6,10,12,13],[2,4,5,7,10,11,14],[2,4,7,8,9,10,12],[2,5,7,8,11,12,13],[2,6,9,11,12,13,14],[3,4,5,6,9,12,14],[3,4,6,7,8,11,13],[3,4,8,9,11,12,14],[3,5,6,7,8,9,13],[3,5,7,9,10,11,12],[4,5,6,8,10,11,14]]; G[9388]:=Group([(1,12)(3,13)(4,11)(6,8)(10,14)]); # Design 9389: autom. group order 2, simple, residual B[9389]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,10,12],[1,3,5,9,12,13,14],[1,3,6,9,10,11,13],[1,4,5,7,8,11,13],[1,4,6,7,11,12,14],[1,4,7,9,10,13,14],[1,5,7,8,9,10,12],[1,6,8,10,11,13,14],[2,3,6,7,8,13,14],[2,3,7,9,10,11,14],[2,4,5,6,9,10,11],[2,4,5,7,10,13,14],[2,4,8,9,12,13,14],[2,5,8,10,11,12,13],[2,6,7,9,11,12,13],[3,4,5,6,10,12,13],[3,4,6,8,10,12,14],[3,4,7,8,9,11,12],[3,5,6,7,8,9,13],[3,5,7,10,11,12,14],[4,5,6,8,9,11,14]]; G[9389]:=Group([(1,12)(3,13)(4,11)(5,9)]); # Design 9390: autom. group order 2, simple, residual B[9390]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,14],[1,2,6,8,12,13,14],[1,3,5,9,10,12,14],[1,3,6,9,10,11,13],[1,4,5,7,8,10,12],[1,4,6,7,9,11,12],[1,4,7,8,10,13,14],[1,5,8,9,11,12,13],[1,6,7,10,11,13,14],[2,3,6,7,8,12,13],[2,3,7,10,11,12,14],[2,4,5,7,9,11,13],[2,4,5,10,11,13,14],[2,4,6,9,10,12,14],[2,5,6,8,9,10,13],[2,7,8,9,10,11,12],[3,4,5,6,10,12,13],[3,4,6,8,9,11,14],[3,4,7,8,9,13,14],[3,5,6,7,8,10,11],[3,5,7,9,12,13,14],[4,5,6,8,11,12,14]]; G[9390]:=Group([(1,10)(3,9)(4,8)(5,12)(6,11)]); # Design 9391: autom. group order 2, simple B[9391]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,12,13],[1,3,5,7,10,11,12],[1,3,6,8,10,13,14],[1,4,5,7,9,10,13],[1,4,6,7,11,13,14],[1,4,9,10,11,12,14],[1,5,8,9,11,13,14],[1,6,7,8,9,10,12],[2,3,6,9,10,13,14],[2,3,7,9,10,11,13],[2,4,5,7,8,10,14],[2,4,5,8,9,12,13],[2,4,6,7,9,11,14],[2,5,6,10,11,12,13],[2,7,8,10,11,12,14],[3,4,5,6,10,12,14],[3,4,6,8,9,11,12],[3,4,7,8,12,13,14],[3,5,6,7,8,9,11],[3,5,7,9,12,13,14],[4,5,6,8,10,11,13]]; G[9391]:=Group([(2,9)(3,10)(5,12)(6,14)(7,11)]); # Design 9392: autom. group order 2, simple, residual B[9392]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,9,10,11],[1,3,5,7,9,13,14],[1,3,6,10,11,12,14],[1,4,5,7,10,12,13],[1,4,6,7,8,10,14],[1,4,8,9,12,13,14],[1,5,8,10,11,13,14],[1,6,7,9,11,12,13],[2,3,6,10,12,13,14],[2,3,7,9,10,13,14],[2,4,5,7,11,12,14],[2,4,5,9,10,11,13],[2,4,6,7,8,13,14],[2,5,6,8,10,12,13],[2,7,8,9,11,12,14],[3,4,5,6,9,12,14],[3,4,6,8,9,11,13],[3,4,7,8,10,11,12],[3,5,6,7,8,11,13],[3,5,7,8,9,10,12],[4,5,6,9,10,11,14]]; G[9392]:=Group([(2,13)(3,12)(5,9)(6,14)(7,8)]); # Design 9393: autom. group order 2, simple, residual B[9393]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,9,10,11],[1,3,5,7,9,13,14],[1,3,6,10,11,12,14],[1,4,5,7,10,12,13],[1,4,6,7,8,10,14],[1,4,8,9,12,13,14],[1,5,8,10,11,13,14],[1,6,7,9,11,12,13],[2,3,6,10,12,13,14],[2,3,7,8,10,12,13],[2,4,5,7,11,12,14],[2,4,5,9,10,11,13],[2,4,6,7,8,13,14],[2,5,6,9,10,13,14],[2,7,8,9,11,12,14],[3,4,5,6,9,12,14],[3,4,6,8,9,11,13],[3,4,7,9,10,11,14],[3,5,6,7,8,11,13],[3,5,7,8,9,10,12],[4,5,6,8,10,11,12]]; G[9393]:=Group([(2,13)(3,12)(5,9)(6,14)(7,8)]); # Design 9394: autom. group order 2, simple, residual B[9394]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,10,13],[1,3,5,10,12,13,14],[1,3,6,9,10,13,14],[1,4,5,7,8,9,12],[1,4,6,8,9,11,14],[1,4,7,10,11,12,14],[1,5,7,9,10,11,13],[1,6,7,8,11,12,13],[2,3,6,7,9,11,12],[2,3,7,8,12,13,14],[2,4,5,7,9,13,14],[2,4,5,8,10,11,13],[2,4,6,9,10,12,13],[2,5,6,7,10,11,14],[2,8,9,10,11,12,14],[3,4,5,6,10,11,12],[3,4,6,7,8,10,14],[3,4,7,9,11,13,14],[3,5,6,8,9,11,13],[3,5,7,8,9,10,12],[4,5,6,8,12,13,14]]; G[9394]:=Group([(1,9)(3,12)(4,6)(5,10)(7,13)(8,14)]); # Design 9395: autom. group order 2, simple B[9395]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,9,10,11],[1,3,5,7,9,13,14],[1,3,6,10,11,12,14],[1,4,5,7,10,12,13],[1,4,6,7,8,10,14],[1,4,8,9,12,13,14],[1,5,8,10,11,13,14],[1,6,7,9,11,12,13],[2,3,7,8,10,12,13],[2,3,7,9,10,13,14],[2,4,5,6,9,13,14],[2,4,5,7,11,12,14],[2,4,6,10,11,13,14],[2,5,6,8,10,12,13],[2,7,8,9,11,12,14],[3,4,5,9,10,11,12],[3,4,6,7,8,12,14],[3,4,6,8,9,11,13],[3,5,6,7,8,11,13],[3,5,6,9,10,12,14],[4,5,7,8,9,10,11]]; G[9395]:=Group([(2,13)(3,12)(5,9)(6,14)(7,8)]); # Design 9396: autom. group order 2, simple, residual B[9396]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,6,7,9,13,14],[1,3,5,10,12,13,14],[1,3,6,8,9,13,14],[1,4,5,7,10,13,14],[1,4,6,7,11,12,13],[1,4,7,8,9,10,11],[1,5,7,8,9,11,12],[1,6,8,10,11,12,14],[2,3,7,8,9,12,13],[2,3,7,10,11,12,14],[2,4,5,6,9,11,14],[2,4,5,7,8,12,14],[2,4,6,8,10,12,13],[2,5,6,8,10,11,13],[2,7,9,10,11,13,14],[3,4,5,9,10,11,13],[3,4,6,7,8,10,14],[3,4,6,9,11,12,14],[3,5,6,7,8,11,13],[3,5,6,7,9,10,12],[4,5,8,9,12,13,14]]; G[9396]:=Group([(1,6)(2,7)(4,5)(9,13)(10,11)]); # Design 9397: autom. group order 2, simple, residual B[9397]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,10,13,14],[1,3,5,9,10,12,13],[1,3,6,8,10,13,14],[1,4,5,7,10,11,14],[1,4,6,7,11,12,13],[1,4,7,8,9,12,14],[1,5,7,8,9,11,13],[1,6,8,9,10,11,12],[2,3,7,8,12,13,14],[2,3,7,9,10,11,12],[2,4,5,6,9,10,13],[2,4,5,7,8,10,12],[2,4,6,8,9,11,14],[2,5,6,8,11,12,13],[2,7,9,10,11,13,14],[3,4,5,9,11,13,14],[3,4,6,7,8,9,13],[3,4,6,10,11,12,14],[3,5,6,7,8,10,11],[3,5,6,7,9,12,14],[4,5,8,10,12,13,14]]; G[9397]:=Group([(1,6)(2,7)(4,5)(9,11)(13,14)]); # Design 9398: autom. group order 2, simple B[9398]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,6,7,8,10,12],[1,3,5,9,10,12,14],[1,3,6,9,11,13,14],[1,4,5,7,11,12,14],[1,4,6,7,8,11,13],[1,4,7,9,10,13,14],[1,5,7,8,9,10,11],[1,6,8,10,12,13,14],[2,3,7,8,12,13,14],[2,3,7,9,10,11,13],[2,4,5,6,8,9,14],[2,4,5,7,10,13,14],[2,4,6,9,10,11,12],[2,5,6,10,11,13,14],[2,7,8,9,11,12,14],[3,4,5,8,10,12,13],[3,4,6,7,9,12,14],[3,4,6,8,10,11,14],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,8,9,11,12,13]]; G[9398]:=Group([(1,6)(2,7)(4,5)(8,12)(9,11)]); # Design 9399: autom. group order 2, simple, residual B[9399]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,6,7,8,10,12],[1,3,5,9,10,12,14],[1,3,6,9,11,13,14],[1,4,5,7,11,12,14],[1,4,6,7,8,11,13],[1,4,7,9,10,13,14],[1,5,7,8,10,13,14],[1,6,8,9,10,11,12],[2,3,7,8,12,13,14],[2,3,7,9,10,11,13],[2,4,5,6,8,9,14],[2,4,5,7,9,10,11],[2,4,6,10,12,13,14],[2,5,6,10,11,13,14],[2,7,8,9,11,12,14],[3,4,5,8,10,12,13],[3,4,6,7,9,12,14],[3,4,6,8,10,11,14],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,8,9,11,12,13]]; G[9399]:=Group([(1,6)(2,7)(4,5)(8,12)(9,11)]); # Design 9400: autom. group order 2, simple, residual B[9400]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,12,13],[1,3,5,9,10,12,13],[1,3,6,9,11,13,14],[1,4,5,7,10,11,12],[1,4,6,7,8,11,14],[1,4,7,9,10,13,14],[1,5,7,8,10,13,14],[1,6,8,9,10,11,12],[2,3,7,8,10,12,14],[2,3,7,9,10,11,14],[2,4,5,6,8,9,10],[2,4,5,7,9,11,13],[2,4,6,10,12,13,14],[2,5,6,10,11,13,14],[2,7,8,9,11,12,13],[3,4,5,8,12,13,14],[3,4,6,7,9,12,14],[3,4,6,8,10,11,13],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,8,9,11,12,14]]; G[9400]:=Group([(1,6)(2,7)(4,5)(8,12)(9,11)]); # Design 9401: autom. group order 2, simple B[9401]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,6,7,8,10,12],[1,3,5,9,10,12,14],[1,3,6,9,11,13,14],[1,4,5,7,8,9,14],[1,4,6,7,8,11,13],[1,4,7,9,10,11,12],[1,5,7,10,11,13,14],[1,6,8,10,12,13,14],[2,3,7,8,12,13,14],[2,3,7,9,10,11,13],[2,4,5,6,11,12,14],[2,4,5,7,10,13,14],[2,4,6,9,10,13,14],[2,5,6,8,9,10,11],[2,7,8,9,11,12,14],[3,4,5,8,10,12,13],[3,4,6,7,9,12,14],[3,4,6,8,10,11,14],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,8,9,11,12,13]]; G[9401]:=Group([(1,6)(2,7)(4,5)(8,12)(9,11)]); # Design 9402: autom. group order 2, simple, residual B[9402]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,6,7,8,12,13],[1,3,5,9,12,13,14],[1,3,6,9,10,11,13],[1,4,5,7,8,9,14],[1,4,6,7,8,10,11],[1,4,7,10,12,13,14],[1,5,7,10,11,13,14],[1,6,8,9,11,12,14],[2,3,7,8,10,12,14],[2,3,7,9,10,11,14],[2,4,5,6,11,12,14],[2,4,5,7,9,11,13],[2,4,6,9,10,13,14],[2,5,6,8,10,13,14],[2,7,8,9,11,12,13],[3,4,5,8,10,12,13],[3,4,6,7,9,12,14],[3,4,6,8,11,13,14],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,8,9,10,11,12]]; G[9402]:=Group([(1,6)(2,7)(4,5)(8,12)(9,11)]); # Design 9403: autom. group order 2, simple B[9403]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,12,13],[1,3,5,9,10,12,13],[1,3,6,10,11,13,14],[1,4,5,7,8,13,14],[1,4,6,7,8,9,10],[1,4,7,9,11,12,14],[1,5,7,9,10,11,13],[1,6,8,10,11,12,14],[2,3,7,8,9,11,12],[2,3,7,9,10,13,14],[2,4,5,6,10,12,13],[2,4,5,7,10,11,14],[2,4,6,9,11,13,14],[2,5,6,8,9,10,11],[2,7,8,10,12,13,14],[3,4,5,8,10,12,14],[3,4,6,7,10,11,12],[3,4,6,8,9,13,14],[3,5,6,7,8,11,13],[3,5,6,7,9,12,14],[4,5,8,9,11,12,13]]; G[9403]:=Group([(1,6)(2,7)(4,5)(8,12)(10,14)]); # Design 9404: autom. group order 2, simple, residual B[9404]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,6,7,8,12,14],[1,3,5,10,12,13,14],[1,3,6,9,10,11,14],[1,4,5,7,8,10,11],[1,4,6,7,8,9,13],[1,4,7,10,12,13,14],[1,5,7,9,11,13,14],[1,6,8,9,10,11,12],[2,3,7,8,9,12,14],[2,3,7,9,10,11,13],[2,4,5,6,10,11,12],[2,4,5,7,9,10,14],[2,4,6,9,11,13,14],[2,5,6,8,10,13,14],[2,7,8,10,11,12,13],[3,4,5,8,9,12,13],[3,4,6,7,11,12,14],[3,4,6,8,10,13,14],[3,5,6,7,8,11,13],[3,5,6,7,9,10,12],[4,5,8,9,11,12,14]]; G[9404]:=Group([(1,6)(2,7)(4,5)(8,12)]); # Design 9405: autom. group order 2, simple, residual B[9405]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,12,13],[1,3,5,10,12,13,14],[1,3,6,9,10,11,13],[1,4,5,7,8,10,11],[1,4,6,7,8,9,14],[1,4,7,10,12,13,14],[1,5,7,9,11,13,14],[1,6,8,9,10,11,12],[2,3,7,8,9,12,13],[2,3,7,9,10,11,14],[2,4,5,6,10,11,12],[2,4,5,7,9,10,13],[2,4,6,9,11,13,14],[2,5,6,8,10,13,14],[2,7,8,10,11,12,14],[3,4,5,8,9,12,14],[3,4,6,7,11,12,14],[3,4,6,8,10,13,14],[3,5,6,7,8,11,13],[3,5,6,7,9,10,12],[4,5,8,9,11,12,13]]; G[9405]:=Group([(1,6)(2,7)(4,5)(8,12)]); # Design 9406: autom. group order 2, simple, residual B[9406]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,11,12,14],[1,2,6,7,8,10,11],[1,3,5,10,11,12,13],[1,3,6,8,10,13,14],[1,4,5,7,10,12,14],[1,4,6,7,9,11,13],[1,4,7,9,10,12,14],[1,5,7,8,9,11,13],[1,6,8,9,12,13,14],[2,3,7,9,12,13,14],[2,3,7,10,11,13,14],[2,4,5,6,9,10,13],[2,4,5,7,8,13,14],[2,4,6,8,11,12,14],[2,5,6,9,10,12,13],[2,7,8,9,10,11,12],[3,4,5,8,9,11,12],[3,4,6,7,8,12,13],[3,4,6,9,10,11,14],[3,5,6,7,8,10,12],[3,5,6,7,9,11,14],[4,5,8,10,11,13,14]]; G[9406]:=Group([(1,6)(2,7)(4,5)(9,12)(13,14)]); # Design 9407: autom. group order 2, simple, residual B[9407]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,12,13,14],[1,2,6,7,8,9,12],[1,3,5,9,10,13,14],[1,3,6,8,10,11,13],[1,4,5,7,9,10,11],[1,4,6,7,9,13,14],[1,4,7,8,10,12,13],[1,5,7,10,11,12,14],[1,6,8,9,11,12,14],[2,3,7,9,10,12,14],[2,3,7,9,11,12,13],[2,4,5,6,10,11,12],[2,4,5,7,8,13,14],[2,4,6,9,10,11,14],[2,5,6,8,9,10,13],[2,7,8,10,11,13,14],[3,4,5,8,9,12,14],[3,4,6,7,8,11,14],[3,4,6,10,12,13,14],[3,5,6,7,8,10,12],[3,5,6,7,9,11,13],[4,5,8,9,11,12,13]]; G[9407]:=Group([(1,6)(2,7)(4,5)(9,12)]); # Design 9408: autom. group order 2, simple, residual B[9408]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,11,12,14],[1,2,6,7,8,10,11],[1,3,5,8,10,12,13],[1,3,6,10,11,13,14],[1,4,5,7,10,12,14],[1,4,6,7,9,10,13],[1,4,7,9,11,12,14],[1,5,7,8,9,11,13],[1,6,8,9,12,13,14],[2,3,7,9,12,13,14],[2,3,7,10,11,13,14],[2,4,5,6,9,11,13],[2,4,5,7,8,13,14],[2,4,6,8,10,12,14],[2,5,6,9,10,12,13],[2,7,8,9,10,11,12],[3,4,5,9,10,11,12],[3,4,6,7,8,12,13],[3,4,6,8,9,11,14],[3,5,6,7,8,11,12],[3,5,6,7,9,10,14],[4,5,8,10,11,13,14]]; G[9408]:=Group([(1,6)(2,7)(4,5)(9,12)(10,11)(13,14)]); # Design 9409: autom. group order 2, simple, residual B[9409]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,6,7,8,9,13],[1,3,5,8,10,13,14],[1,3,6,9,12,13,14],[1,4,5,7,10,12,13],[1,4,6,7,11,13,14],[1,4,7,9,10,11,14],[1,5,7,8,9,11,12],[1,6,8,10,11,12,14],[2,3,7,9,12,13,14],[2,3,7,10,11,12,14],[2,4,5,6,9,11,14],[2,4,5,7,8,12,14],[2,4,6,8,10,13,14],[2,5,6,10,11,12,13],[2,7,8,9,10,11,13],[3,4,5,9,10,11,13],[3,4,6,7,8,10,12],[3,4,6,8,9,11,12],[3,5,6,7,8,11,13],[3,5,6,7,9,10,14],[4,5,8,9,12,13,14]]; G[9409]:=Group([(1,6)(2,7)(4,5)(9,13)(10,11)(12,14)]); # Design 9410: autom. group order 2, simple, residual B[9410]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,6,7,8,9,13],[1,3,5,8,10,13,14],[1,3,6,10,11,12,14],[1,4,5,7,10,12,13],[1,4,6,7,11,13,14],[1,4,7,9,10,11,14],[1,5,7,8,9,11,12],[1,6,8,9,12,13,14],[2,3,7,9,10,11,13],[2,3,7,9,12,13,14],[2,4,5,6,9,11,14],[2,4,5,7,8,12,14],[2,4,6,8,10,13,14],[2,5,6,10,11,12,13],[2,7,8,10,11,12,14],[3,4,5,9,12,13,14],[3,4,6,7,8,10,12],[3,4,6,8,9,11,12],[3,5,6,7,8,11,13],[3,5,6,7,9,10,14],[4,5,8,9,10,11,13]]; G[9410]:=Group([(1,6)(2,7)(4,5)(9,13)(10,11)(12,14)]); # Design 9411: autom. group order 2, simple, residual B[9411]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,10,12,13],[1,3,5,9,10,12,14],[1,3,6,9,11,13,14],[1,4,5,7,11,13,14],[1,4,6,7,8,11,12],[1,4,7,9,10,12,14],[1,5,7,8,10,13,14],[1,6,8,9,10,11,13],[2,3,7,8,12,13,14],[2,3,7,9,10,11,13],[2,4,5,6,9,13,14],[2,4,5,7,9,10,11],[2,4,6,8,10,13,14],[2,5,6,10,11,12,14],[2,7,8,9,11,12,14],[3,4,5,8,10,12,13],[3,4,6,7,8,9,14],[3,4,6,10,11,12,14],[3,5,6,7,8,10,11],[3,5,6,7,9,12,13],[4,5,8,9,11,12,13]]; G[9411]:=Group([(1,6)(2,7)(4,5)(9,11)]); # Design 9412: autom. group order 2, simple, residual B[9412]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,6,7,9,11,14],[1,3,5,9,10,12,14],[1,3,6,10,11,13,14],[1,4,5,7,9,10,14],[1,4,6,7,8,10,12],[1,4,7,9,11,12,13],[1,5,7,8,12,13,14],[1,6,8,9,10,11,13],[2,3,7,8,9,10,13],[2,3,7,10,12,13,14],[2,4,5,6,9,13,14],[2,4,5,7,10,11,13],[2,4,6,8,10,12,14],[2,5,6,9,10,11,12],[2,7,8,9,11,12,14],[3,4,5,8,9,11,12],[3,4,6,7,8,11,14],[3,4,6,9,12,13,14],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,8,10,11,13,14]]; G[9412]:=Group([(1,6)(2,7)(4,5)(10,13)]); # Design 9413: autom. group order 2, simple, residual B[9413]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,6,7,9,11,14],[1,3,5,9,10,12,14],[1,3,6,10,11,13,14],[1,4,5,7,9,10,14],[1,4,6,7,8,10,12],[1,4,7,8,12,13,14],[1,5,7,9,11,12,13],[1,6,8,9,10,11,13],[2,3,7,8,9,10,13],[2,3,7,10,12,13,14],[2,4,5,6,9,13,14],[2,4,5,7,10,11,13],[2,4,6,9,10,11,12],[2,5,6,8,10,12,14],[2,7,8,9,11,12,14],[3,4,5,8,9,11,12],[3,4,6,7,8,11,14],[3,4,6,9,12,13,14],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,8,10,11,13,14]]; G[9413]:=Group([(1,6)(2,7)(4,5)(10,13)]); # Design 9414: autom. group order 2, simple, residual B[9414]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,14],[1,2,6,7,9,13,14],[1,3,5,9,10,11,13],[1,3,6,10,12,13,14],[1,4,5,7,9,10,14],[1,4,6,7,8,10,13],[1,4,7,8,11,12,14],[1,5,7,9,11,12,13],[1,6,8,9,10,11,12],[2,3,7,8,9,10,12],[2,3,7,10,12,13,14],[2,4,5,6,9,12,13],[2,4,5,7,10,11,12],[2,4,6,9,10,11,14],[2,5,6,8,10,11,13],[2,7,8,9,11,13,14],[3,4,5,8,9,13,14],[3,4,6,7,8,11,13],[3,4,6,9,11,12,14],[3,5,6,7,8,9,12],[3,5,6,7,10,11,14],[4,5,8,10,12,13,14]]; G[9414]:=Group([(1,6)(2,7)(4,5)(10,12)(13,14)]); # Design 9415: autom. group order 2, simple B[9415]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,8,9,13,14],[1,3,5,8,10,12,13],[1,3,6,7,10,11,14],[1,4,5,7,9,10,13],[1,4,6,7,11,13,14],[1,4,9,10,11,12,14],[1,5,7,8,11,12,13],[1,6,7,8,9,10,12],[2,3,7,9,10,11,13],[2,3,7,9,12,13,14],[2,4,5,6,10,11,12],[2,4,5,7,8,10,14],[2,4,6,7,8,12,13],[2,5,6,9,10,11,13],[2,7,8,10,11,12,14],[3,4,5,7,9,12,14],[3,4,6,8,9,11,12],[3,4,6,8,10,13,14],[3,5,6,7,8,9,11],[3,5,6,10,12,13,14],[4,5,8,9,11,13,14]]; G[9415]:=Group([(2,9)(3,10)(5,12)(6,14)(7,11)]); # Design 9416: autom. group order 2, simple B[9416]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,12,13,14],[1,2,6,7,8,9,12],[1,3,5,7,9,10,14],[1,3,6,7,10,11,13],[1,4,5,8,9,13,14],[1,4,6,8,10,11,14],[1,4,7,10,12,13,14],[1,5,9,10,11,12,13],[1,6,7,8,9,11,12],[2,3,7,8,12,13,14],[2,3,9,10,11,12,14],[2,4,5,6,9,11,13],[2,4,5,7,9,10,12],[2,4,7,8,10,11,13],[2,5,6,7,10,11,14],[2,6,8,9,10,13,14],[3,4,5,6,8,10,12],[3,4,6,7,9,13,14],[3,4,6,9,11,12,14],[3,5,6,8,10,12,13],[3,5,7,8,9,11,13],[4,5,7,8,11,12,14]]; G[9416]:=Group([(1,5)(2,13)(3,9)(4,11)(6,12)(7,10)]); # Design 9417: autom. group order 2, simple B[9417]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,9,10,11],[1,3,5,7,9,13,14],[1,3,6,10,11,12,14],[1,4,5,7,10,12,13],[1,4,6,7,8,10,14],[1,4,8,9,12,13,14],[1,5,8,10,11,13,14],[1,6,7,9,11,12,13],[2,3,7,8,10,12,13],[2,3,7,9,10,13,14],[2,4,5,6,9,13,14],[2,4,5,7,11,12,14],[2,4,9,10,11,12,14],[2,5,6,8,10,12,13],[2,6,7,8,11,13,14],[3,4,5,6,10,11,13],[3,4,6,7,8,12,14],[3,4,6,8,9,11,13],[3,5,6,9,10,12,14],[3,5,7,8,9,11,12],[4,5,7,8,9,10,11]]; G[9417]:=Group([(2,13)(3,12)(5,9)(6,14)(7,8)]); # Design 9418: autom. group order 2, simple, residual B[9418]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,10,13],[1,3,5,9,10,12,13],[1,3,6,7,8,12,14],[1,4,5,10,12,13,14],[1,4,7,8,9,11,12],[1,4,7,10,11,13,14],[1,5,6,8,9,11,13],[1,6,7,9,10,11,14],[2,3,6,10,11,13,14],[2,3,7,9,10,12,14],[2,4,5,6,9,10,11],[2,4,5,7,8,13,14],[2,4,6,7,9,12,13],[2,5,7,8,10,11,12],[2,8,9,11,12,13,14],[3,4,5,7,9,11,14],[3,4,6,8,9,13,14],[3,4,6,8,10,11,12],[3,5,6,7,11,12,13],[3,5,7,8,9,10,13],[4,5,6,8,10,12,14]]; G[9418]:=Group([(1,12)(3,9)(4,14)(5,13)(6,11)(7,8)]); # Design 9419: autom. group order 2, simple, residual B[9419]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,6,7,8,12,14],[1,3,5,7,9,13,14],[1,3,6,7,8,10,13],[1,4,5,10,12,13,14],[1,4,7,8,9,11,12],[1,4,7,10,11,13,14],[1,5,6,8,9,11,13],[1,6,9,10,11,12,14],[2,3,6,10,11,13,14],[2,3,7,9,10,12,14],[2,4,5,7,9,11,14],[2,4,5,8,10,12,13],[2,4,6,8,9,13,14],[2,5,6,7,11,12,13],[2,7,8,9,10,11,13],[3,4,5,6,9,10,11],[3,4,6,7,9,12,13],[3,4,6,8,11,12,14],[3,5,7,8,10,11,12],[3,5,8,9,12,13,14],[4,5,6,7,8,10,14]]; G[9419]:=Group([(1,14)(2,8)(3,6)(5,12)(7,11)(10,13)]); # Design 9420: autom. group order 2, simple, residual B[9420]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,6,8,9,13,14],[1,3,5,7,10,12,14],[1,3,7,9,10,11,14],[1,4,5,6,8,13,14],[1,4,6,7,8,10,11],[1,4,7,9,12,13,14],[1,5,6,7,11,12,13],[1,8,9,10,11,12,13],[2,3,6,7,9,11,13],[2,3,6,10,12,13,14],[2,4,5,7,9,10,13],[2,4,5,9,11,12,14],[2,4,7,8,11,12,14],[2,5,7,8,10,11,13],[2,6,7,8,10,12,14],[3,4,5,8,10,12,13],[3,4,6,7,8,9,12],[3,4,6,10,11,13,14],[3,5,6,8,9,11,12],[3,5,7,8,9,13,14],[4,5,6,9,10,11,14]]; G[9420]:=Group([(2,12)(3,13)(4,11)(5,9)(6,10)(7,8)]); # Design 9421: autom. group order 2, simple, residual B[9421]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,6,7,9,12,14],[1,3,5,7,9,10,11],[1,3,9,10,12,13,14],[1,4,5,6,8,10,14],[1,4,6,10,11,13,14],[1,4,7,8,9,12,14],[1,5,6,7,9,11,13],[1,7,8,10,11,12,13],[2,3,6,7,10,12,14],[2,3,7,8,11,13,14],[2,4,5,7,10,12,13],[2,4,5,9,10,11,12],[2,4,6,9,11,13,14],[2,5,8,9,10,13,14],[2,6,7,8,9,10,11],[3,4,5,7,9,13,14],[3,4,6,7,8,10,13],[3,4,6,8,9,11,12],[3,5,6,8,9,12,13],[3,5,6,10,11,12,14],[4,5,7,8,11,12,14]]; G[9421]:=Group([(1,9)(3,10)(4,8)(5,11)(12,14)]); # Design 9422: autom. group order 2, simple, residual B[9422]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,6,8,9,13,14],[1,3,5,7,10,12,14],[1,3,7,9,10,11,14],[1,4,5,6,8,13,14],[1,4,6,7,8,10,11],[1,4,7,9,12,13,14],[1,5,6,7,11,12,13],[1,8,9,10,11,12,13],[2,3,6,7,9,11,13],[2,3,7,8,12,13,14],[2,4,5,7,9,10,13],[2,4,5,9,11,12,14],[2,4,6,10,11,12,14],[2,5,7,8,10,11,13],[2,6,7,8,10,12,14],[3,4,5,8,10,12,13],[3,4,6,7,8,9,12],[3,4,6,10,11,13,14],[3,5,6,8,9,11,12],[3,5,6,9,10,13,14],[4,5,7,8,9,11,14]]; G[9422]:=Group([(2,12)(3,13)(4,11)(5,9)(6,10)(7,8)]); # Design 9423: autom. group order 2, simple, residual B[9423]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,14],[1,2,5,6,10,11,14],[1,2,6,8,11,12,14],[1,3,5,7,9,11,13],[1,3,7,10,11,12,14],[1,4,5,6,10,12,13],[1,4,6,7,9,10,14],[1,4,8,9,12,13,14],[1,5,6,7,8,12,13],[1,7,8,9,10,11,13],[2,3,6,9,10,12,13],[2,3,7,10,12,13,14],[2,4,5,7,9,11,12],[2,4,5,8,10,11,13],[2,4,6,7,9,13,14],[2,5,7,8,10,13,14],[2,6,7,8,9,11,12],[3,4,5,7,8,12,14],[3,4,6,7,8,10,11],[3,4,6,8,11,13,14],[3,5,6,8,9,10,12],[3,5,6,9,11,13,14],[4,5,9,10,11,12,14]]; G[9423]:=Group([(2,13)(3,12)(5,8)(6,9)(7,14)]); # Design 9424: autom. group order 2, simple, residual B[9424]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,6,7,8,10,12],[1,3,5,9,10,12,13],[1,3,7,10,11,12,14],[1,4,5,6,9,11,14],[1,4,6,7,8,11,13],[1,4,7,8,9,12,14],[1,5,7,8,10,13,14],[1,6,9,10,11,13,14],[2,3,6,8,9,10,14],[2,3,7,9,11,13,14],[2,4,5,7,9,10,11],[2,4,5,7,10,13,14],[2,4,6,10,12,13,14],[2,5,6,8,11,12,14],[2,7,8,9,11,12,13],[3,4,5,8,12,13,14],[3,4,6,7,9,12,14],[3,4,6,8,10,11,13],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,8,9,10,11,12]]; G[9424]:=Group([(1,6)(2,7)(4,5)(8,12)(9,11)]); # Design 9425: autom. group order 2, simple, residual B[9425]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,10,12],[1,3,5,9,10,12,14],[1,3,7,10,11,12,13],[1,4,5,6,9,11,13],[1,4,6,7,8,11,14],[1,4,7,8,9,12,13],[1,5,7,8,10,13,14],[1,6,9,10,11,13,14],[2,3,6,8,9,10,13],[2,3,7,9,11,13,14],[2,4,5,7,9,10,11],[2,4,5,7,10,13,14],[2,4,6,10,12,13,14],[2,5,6,8,11,12,13],[2,7,8,9,11,12,14],[3,4,5,8,12,13,14],[3,4,6,7,9,12,14],[3,4,6,8,10,11,14],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,8,9,10,11,12]]; G[9425]:=Group([(1,6)(2,7)(4,5)(8,12)(9,11)]); # Design 9426: autom. group order 2, simple B[9426]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,6,7,8,12,14],[1,3,5,9,10,12,13],[1,3,7,10,11,12,14],[1,4,5,6,9,11,14],[1,4,6,7,8,11,13],[1,4,7,8,9,10,12],[1,5,7,8,10,13,14],[1,6,9,10,11,13,14],[2,3,6,8,9,10,14],[2,3,7,9,11,13,14],[2,4,5,7,9,10,11],[2,4,5,7,10,13,14],[2,4,6,10,12,13,14],[2,5,6,8,10,11,12],[2,7,8,9,11,12,13],[3,4,5,8,12,13,14],[3,4,6,7,9,12,14],[3,4,6,8,10,11,13],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,8,9,11,12,14]]; G[9426]:=Group([(1,6)(2,7)(4,5)(8,12)(9,11)]); # Design 9427: autom. group order 2, simple, residual B[9427]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,6,7,8,12,14],[1,3,5,9,10,12,14],[1,3,7,10,11,12,13],[1,4,5,6,9,11,14],[1,4,6,7,8,11,13],[1,4,7,8,9,10,12],[1,5,7,8,10,13,14],[1,6,9,10,11,13,14],[2,3,6,8,9,10,13],[2,3,7,9,11,13,14],[2,4,5,7,9,10,11],[2,4,5,7,10,13,14],[2,4,6,10,12,13,14],[2,5,6,8,10,11,12],[2,7,8,9,11,12,14],[3,4,5,8,12,13,14],[3,4,6,7,9,12,14],[3,4,6,8,10,11,14],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,8,9,11,12,13]]; G[9427]:=Group([(1,6)(2,7)(4,5)(8,12)(9,11)]); # Design 9428: autom. group order 2, simple, residual B[9428]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,12,13],[1,3,5,9,10,12,13],[1,3,7,10,11,12,14],[1,4,5,6,9,11,13],[1,4,6,7,8,11,14],[1,4,7,8,9,10,12],[1,5,7,8,10,13,14],[1,6,9,10,11,13,14],[2,3,6,8,9,10,14],[2,3,7,9,11,13,14],[2,4,5,7,9,10,11],[2,4,5,7,10,13,14],[2,4,6,10,12,13,14],[2,5,6,8,10,11,12],[2,7,8,9,11,12,13],[3,4,5,8,12,13,14],[3,4,6,7,9,12,14],[3,4,6,8,10,11,13],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,8,9,11,12,14]]; G[9428]:=Group([(1,6)(2,7)(4,5)(8,12)(9,11)]); # Design 9429: autom. group order 2, simple B[9429]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,12,13],[1,3,5,9,10,12,14],[1,3,7,10,11,12,13],[1,4,5,6,9,11,13],[1,4,6,7,8,11,14],[1,4,7,8,9,10,12],[1,5,7,8,10,13,14],[1,6,9,10,11,13,14],[2,3,6,8,9,10,13],[2,3,7,9,11,13,14],[2,4,5,7,9,10,11],[2,4,5,7,10,13,14],[2,4,6,10,12,13,14],[2,5,6,8,10,11,12],[2,7,8,9,11,12,14],[3,4,5,8,12,13,14],[3,4,6,7,9,12,14],[3,4,6,8,10,11,14],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,8,9,11,12,13]]; G[9429]:=Group([(1,6)(2,7)(4,5)(8,12)(9,11)]); # Design 9430: autom. group order 2, simple, residual B[9430]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,9,11],[1,3,5,8,10,12,13],[1,3,7,10,11,13,14],[1,4,5,6,10,13,14],[1,4,6,9,11,13,14],[1,4,7,9,10,12,14],[1,5,7,8,9,12,13],[1,6,7,8,10,11,12],[2,3,6,7,10,12,14],[2,3,7,9,12,13,14],[2,4,5,7,8,13,14],[2,4,5,9,10,11,12],[2,4,6,7,8,10,13],[2,5,6,10,11,12,13],[2,8,9,10,11,13,14],[3,4,5,7,9,10,11],[3,4,6,8,9,12,13],[3,4,6,8,11,12,14],[3,5,6,7,9,11,13],[3,5,6,8,9,10,14],[4,5,7,8,11,12,14]]; G[9430]:=Group([(2,3)(5,11)(6,13)(7,12)(9,10)]); # Design 9431: autom. group order 2, simple, residual B[9431]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,10,11],[1,3,5,8,9,12,13],[1,3,7,10,11,13,14],[1,4,5,6,10,13,14],[1,4,6,9,11,13,14],[1,4,7,9,10,12,14],[1,5,7,8,10,12,13],[1,6,7,8,9,11,12],[2,3,6,7,10,12,14],[2,3,7,9,12,13,14],[2,4,5,7,8,13,14],[2,4,5,9,10,11,12],[2,4,6,7,8,9,13],[2,5,6,10,11,12,13],[2,8,9,10,11,13,14],[3,4,5,7,9,10,11],[3,4,6,8,10,12,13],[3,4,6,8,11,12,14],[3,5,6,7,9,11,13],[3,5,6,8,9,10,14],[4,5,7,8,11,12,14]]; G[9431]:=Group([(2,3)(5,11)(6,13)(7,12)(9,10)]); # Design 9432: autom. group order 2, simple, residual B[9432]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,9,11,14],[1,3,5,10,12,13,14],[1,3,7,8,10,11,13],[1,4,5,6,10,13,14],[1,4,6,9,11,13,14],[1,4,7,9,10,12,14],[1,5,7,8,9,12,13],[1,6,7,8,10,11,12],[2,3,6,7,10,12,14],[2,3,7,9,12,13,14],[2,4,5,7,8,13,14],[2,4,5,9,10,11,12],[2,4,6,7,8,10,13],[2,5,6,10,11,12,13],[2,8,9,10,11,13,14],[3,4,5,7,9,10,11],[3,4,6,8,9,12,13],[3,4,6,8,11,12,14],[3,5,6,7,9,11,13],[3,5,6,8,9,10,14],[4,5,7,8,11,12,14]]; G[9432]:=Group([(2,3)(5,11)(6,13)(7,12)(9,10)]); # Design 9433: autom. group order 2, simple, residual B[9433]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,10,11,14],[1,3,5,9,12,13,14],[1,3,7,8,10,11,13],[1,4,5,6,10,13,14],[1,4,6,9,11,13,14],[1,4,7,9,10,12,14],[1,5,7,8,10,12,13],[1,6,7,8,9,11,12],[2,3,6,7,10,12,14],[2,3,7,9,12,13,14],[2,4,5,7,8,13,14],[2,4,5,9,10,11,12],[2,4,6,7,8,9,13],[2,5,6,10,11,12,13],[2,8,9,10,11,13,14],[3,4,5,7,9,10,11],[3,4,6,8,10,12,13],[3,4,6,8,11,12,14],[3,5,6,7,9,11,13],[3,5,6,8,9,10,14],[4,5,7,8,11,12,14]]; G[9433]:=Group([(2,3)(5,11)(6,13)(7,12)(9,10)]); # Design 9434: autom. group order 2, simple B[9434]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,9,11],[1,3,5,8,10,12,13],[1,3,7,10,11,13,14],[1,4,5,6,10,13,14],[1,4,6,9,11,13,14],[1,4,7,9,10,12,14],[1,5,7,8,9,12,13],[1,6,7,8,10,11,12],[2,3,6,7,10,12,14],[2,3,7,9,12,13,14],[2,4,5,7,8,13,14],[2,4,5,9,10,11,12],[2,4,6,8,10,12,13],[2,5,6,7,10,11,13],[2,8,9,10,11,13,14],[3,4,5,7,9,10,11],[3,4,6,7,8,9,13],[3,4,6,8,11,12,14],[3,5,6,8,9,10,14],[3,5,6,9,11,12,13],[4,5,7,8,11,12,14]]; G[9434]:=Group([(2,3)(5,11)(6,13)(7,12)(9,10)]); # Design 9435: autom. group order 2, simple B[9435]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,10,11],[1,3,5,8,9,12,13],[1,3,7,10,11,13,14],[1,4,5,6,10,13,14],[1,4,6,9,11,13,14],[1,4,7,9,10,12,14],[1,5,7,8,10,12,13],[1,6,7,8,9,11,12],[2,3,6,7,10,12,14],[2,3,7,9,12,13,14],[2,4,5,7,8,13,14],[2,4,5,9,10,11,12],[2,4,6,8,10,12,13],[2,5,6,7,9,11,13],[2,8,9,10,11,13,14],[3,4,5,7,9,10,11],[3,4,6,7,8,9,13],[3,4,6,8,11,12,14],[3,5,6,8,9,10,14],[3,5,6,10,11,12,13],[4,5,7,8,11,12,14]]; G[9435]:=Group([(2,3)(5,11)(6,13)(7,12)(9,10)]); # Design 9436: autom. group order 2, simple B[9436]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,9,11,14],[1,3,5,10,12,13,14],[1,3,7,8,10,11,13],[1,4,5,6,10,13,14],[1,4,6,9,11,13,14],[1,4,7,9,10,12,14],[1,5,7,8,9,12,13],[1,6,7,8,10,11,12],[2,3,6,7,10,12,14],[2,3,7,9,12,13,14],[2,4,5,7,8,13,14],[2,4,5,9,10,11,12],[2,4,6,8,10,12,13],[2,5,6,7,10,11,13],[2,8,9,10,11,13,14],[3,4,5,7,9,10,11],[3,4,6,7,8,9,13],[3,4,6,8,11,12,14],[3,5,6,8,9,10,14],[3,5,6,9,11,12,13],[4,5,7,8,11,12,14]]; G[9436]:=Group([(2,3)(5,11)(6,13)(7,12)(9,10)]); # Design 9437: autom. group order 2, simple B[9437]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,10,11,14],[1,3,5,9,12,13,14],[1,3,7,8,10,11,13],[1,4,5,6,10,13,14],[1,4,6,9,11,13,14],[1,4,7,9,10,12,14],[1,5,7,8,10,12,13],[1,6,7,8,9,11,12],[2,3,6,7,10,12,14],[2,3,7,9,12,13,14],[2,4,5,7,8,13,14],[2,4,5,9,10,11,12],[2,4,6,8,10,12,13],[2,5,6,7,9,11,13],[2,8,9,10,11,13,14],[3,4,5,7,9,10,11],[3,4,6,7,8,9,13],[3,4,6,8,11,12,14],[3,5,6,8,9,10,14],[3,5,6,10,11,12,13],[4,5,7,8,11,12,14]]; G[9437]:=Group([(2,3)(5,11)(6,13)(7,12)(9,10)]); # Design 9438: autom. group order 2, simple B[9438]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,8,10,11,12],[1,3,5,7,8,9,13],[1,3,7,10,11,13,14],[1,4,5,6,10,13,14],[1,4,6,9,11,13,14],[1,4,7,9,10,12,14],[1,5,7,8,10,12,13],[1,6,7,8,9,11,12],[2,3,6,7,10,12,14],[2,3,7,9,12,13,14],[2,4,5,7,9,10,11],[2,4,5,8,12,13,14],[2,4,6,7,8,9,13],[2,5,6,7,10,11,13],[2,8,9,10,11,13,14],[3,4,5,9,10,11,12],[3,4,6,7,8,11,14],[3,4,6,8,10,12,13],[3,5,6,8,9,10,14],[3,5,6,9,11,12,13],[4,5,7,8,11,12,14]]; G[9438]:=Group([(2,3)(5,11)(6,13)(7,12)(9,10)]); # Design 9439: autom. group order 2, simple B[9439]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,8,10,11,12],[1,3,5,7,8,9,13],[1,3,7,10,11,13,14],[1,4,5,6,10,13,14],[1,4,6,9,11,13,14],[1,4,7,9,10,12,14],[1,5,7,8,10,12,13],[1,6,7,8,9,11,12],[2,3,6,7,10,12,14],[2,3,7,9,12,13,14],[2,4,5,7,9,10,11],[2,4,5,8,12,13,14],[2,4,6,7,8,10,13],[2,5,6,7,9,11,13],[2,8,9,10,11,13,14],[3,4,5,9,10,11,12],[3,4,6,7,8,11,14],[3,4,6,8,9,12,13],[3,5,6,8,9,10,14],[3,5,6,10,11,12,13],[4,5,7,8,11,12,14]]; G[9439]:=Group([(2,3)(5,11)(6,13)(7,12)(9,10)]); # Design 9440: autom. group order 2, simple B[9440]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,10,11,12,14],[1,3,5,7,9,13,14],[1,3,7,8,10,11,13],[1,4,5,6,10,13,14],[1,4,6,9,11,13,14],[1,4,7,9,10,12,14],[1,5,7,8,10,12,13],[1,6,7,8,9,11,12],[2,3,6,7,10,12,14],[2,3,7,9,12,13,14],[2,4,5,7,9,10,11],[2,4,5,8,12,13,14],[2,4,6,7,8,9,13],[2,5,6,7,10,11,13],[2,8,9,10,11,13,14],[3,4,5,9,10,11,12],[3,4,6,7,8,11,14],[3,4,6,8,10,12,13],[3,5,6,8,9,10,14],[3,5,6,9,11,12,13],[4,5,7,8,11,12,14]]; G[9440]:=Group([(2,3)(5,11)(6,13)(7,12)(9,10)]); # Design 9441: autom. group order 2, simple B[9441]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,14],[1,2,6,7,8,9,12],[1,3,5,7,10,12,13],[1,3,9,10,11,13,14],[1,4,5,6,8,13,14],[1,4,6,8,10,11,12],[1,4,7,9,12,13,14],[1,5,7,8,9,11,13],[1,6,7,10,11,12,14],[2,3,6,9,12,13,14],[2,3,7,8,10,12,14],[2,4,5,7,9,11,12],[2,4,5,7,10,13,14],[2,4,6,9,10,11,13],[2,5,8,10,11,12,13],[2,6,7,8,11,13,14],[3,4,5,6,11,12,14],[3,4,6,7,8,10,13],[3,4,7,8,9,11,14],[3,5,6,7,9,10,11],[3,5,6,8,9,12,13],[4,5,8,9,10,12,14]]; G[9441]:=Group([(1,9)(2,7)(3,11)(4,5)(6,12)(10,13)]); # Design 9442: autom. group order 2, simple, residual B[9442]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,6,7,9,12,14],[1,3,5,7,9,10,11],[1,3,9,10,12,13,14],[1,4,5,6,8,10,14],[1,4,7,8,9,12,14],[1,4,7,10,11,13,14],[1,5,6,7,9,11,13],[1,6,8,10,11,12,13],[2,3,6,7,10,12,14],[2,3,7,8,11,13,14],[2,4,5,7,10,12,13],[2,4,5,9,10,11,12],[2,4,6,9,11,13,14],[2,5,8,9,10,13,14],[2,6,7,8,9,10,11],[3,4,5,6,9,13,14],[3,4,6,7,8,10,13],[3,4,6,8,9,11,12],[3,5,6,10,11,12,14],[3,5,7,8,9,12,13],[4,5,7,8,11,12,14]]; G[9442]:=Group([(1,9)(3,10)(4,8)(5,11)(12,14)]); # Design 9443: autom. group order 2, simple, residual B[9443]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,12,14],[1,2,6,8,9,13,14],[1,3,5,9,10,12,13],[1,3,7,9,12,13,14],[1,4,5,7,10,11,13],[1,4,6,7,8,10,12],[1,4,6,8,9,11,13],[1,5,8,10,11,12,14],[1,6,7,9,10,11,14],[2,3,6,7,9,10,11],[2,3,7,8,10,13,14],[2,4,5,7,8,9,12],[2,4,5,9,10,11,14],[2,4,6,10,12,13,14],[2,5,6,9,11,12,13],[2,7,8,10,11,12,13],[3,4,5,6,10,13,14],[3,4,6,8,11,12,14],[3,4,7,9,11,12,14],[3,5,6,7,8,11,13],[3,5,6,8,9,10,12],[4,5,7,8,9,13,14]]; G[9443]:=Group([(1,13)(3,12)(4,11)(5,10)(6,8)]); # Design 9444: autom. group order 2, simple, residual B[9444]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,12,14],[1,2,6,8,9,13,14],[1,3,5,9,10,12,13],[1,3,7,9,12,13,14],[1,4,5,7,10,11,13],[1,4,6,7,8,11,13],[1,4,6,8,9,10,12],[1,5,8,10,11,12,14],[1,6,7,9,10,11,14],[2,3,6,7,9,10,11],[2,3,7,8,10,13,14],[2,4,5,7,8,9,12],[2,4,5,9,10,11,14],[2,4,6,10,12,13,14],[2,5,6,9,11,12,13],[2,7,8,10,11,12,13],[3,4,5,6,10,13,14],[3,4,6,8,11,12,14],[3,4,7,9,11,12,14],[3,5,6,7,8,10,12],[3,5,6,8,9,11,13],[4,5,7,8,9,13,14]]; G[9444]:=Group([(1,13)(3,12)(4,11)(5,10)(6,8)]); # Design 9445: autom. group order 2, simple, residual B[9445]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,12,14],[1,2,6,8,9,13,14],[1,3,5,9,10,12,13],[1,3,7,9,12,13,14],[1,4,5,10,11,13,14],[1,4,6,7,8,11,13],[1,4,6,8,9,10,12],[1,5,7,8,10,11,12],[1,6,7,9,10,11,14],[2,3,6,7,9,10,11],[2,3,7,8,10,13,14],[2,4,5,7,8,9,12],[2,4,5,9,10,11,14],[2,4,6,10,12,13,14],[2,5,6,9,11,12,13],[2,7,8,10,11,12,13],[3,4,5,6,7,10,13],[3,4,6,8,11,12,14],[3,4,7,9,11,12,14],[3,5,6,8,9,11,13],[3,5,6,8,10,12,14],[4,5,7,8,9,13,14]]; G[9445]:=Group([(1,13)(3,12)(4,11)(5,10)(6,8)]); # Design 9446: autom. group order 2, simple B[9446]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,10,11],[1,3,5,8,9,12,13],[1,3,7,10,11,13,14],[1,4,5,7,10,12,14],[1,4,6,9,10,13,14],[1,4,7,9,11,12,14],[1,5,6,8,10,12,13],[1,6,7,8,9,11,13],[2,3,6,7,9,13,14],[2,3,6,10,12,13,14],[2,4,5,6,9,10,11],[2,4,5,7,8,13,14],[2,4,7,8,9,12,13],[2,5,7,10,11,12,13],[2,8,9,10,11,12,14],[3,4,5,9,10,11,13],[3,4,6,7,8,10,12],[3,4,6,8,11,12,14],[3,5,6,7,9,11,12],[3,5,7,8,9,10,14],[4,5,6,8,11,13,14]]; G[9446]:=Group([(2,3)(5,11)(6,13)(7,12)(9,10)]); # Design 9447: autom. group order 2, simple B[9447]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,10,11],[1,3,5,8,9,12,13],[1,3,7,10,11,13,14],[1,4,5,7,10,12,14],[1,4,6,9,10,13,14],[1,4,7,9,11,12,14],[1,5,6,8,10,12,13],[1,6,7,8,9,11,13],[2,3,6,7,9,13,14],[2,3,6,10,12,13,14],[2,4,5,6,9,10,11],[2,4,5,7,8,13,14],[2,4,7,8,10,12,13],[2,5,7,9,11,12,13],[2,8,9,10,11,12,14],[3,4,5,9,10,11,13],[3,4,6,7,8,9,12],[3,4,6,8,11,12,14],[3,5,6,7,10,11,12],[3,5,7,8,9,10,14],[4,5,6,8,11,13,14]]; G[9447]:=Group([(2,3)(5,11)(6,13)(7,12)(9,10)]); # Design 9448: autom. group order 2, simple B[9448]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,10,11,14],[1,3,5,9,12,13,14],[1,3,7,8,10,11,13],[1,4,5,7,10,12,14],[1,4,6,9,10,13,14],[1,4,7,9,11,12,14],[1,5,6,8,10,12,13],[1,6,7,8,9,11,13],[2,3,6,7,9,13,14],[2,3,6,10,12,13,14],[2,4,5,6,9,10,11],[2,4,5,7,8,13,14],[2,4,7,8,9,12,13],[2,5,7,10,11,12,13],[2,8,9,10,11,12,14],[3,4,5,9,10,11,13],[3,4,6,7,8,10,12],[3,4,6,8,11,12,14],[3,5,6,7,9,11,12],[3,5,7,8,9,10,14],[4,5,6,8,11,13,14]]; G[9448]:=Group([(2,3)(5,11)(6,13)(7,12)(9,10)]); # Design 9449: autom. group order 2, simple B[9449]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,10,11,14],[1,3,5,9,12,13,14],[1,3,7,8,10,11,13],[1,4,5,7,10,12,14],[1,4,6,9,10,13,14],[1,4,7,9,11,12,14],[1,5,6,8,10,12,13],[1,6,7,8,9,11,13],[2,3,6,7,9,13,14],[2,3,6,10,12,13,14],[2,4,5,6,9,10,11],[2,4,5,7,8,13,14],[2,4,7,8,10,12,13],[2,5,7,9,11,12,13],[2,8,9,10,11,12,14],[3,4,5,9,10,11,13],[3,4,6,7,8,9,12],[3,4,6,8,11,12,14],[3,5,6,7,10,11,12],[3,5,7,8,9,10,14],[4,5,6,8,11,13,14]]; G[9449]:=Group([(2,3)(5,11)(6,13)(7,12)(9,10)]); # Design 9450: autom. group order 2, simple, residual B[9450]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,10,11,13,14],[1,3,5,7,9,13,14],[1,3,7,9,10,11,14],[1,4,5,7,10,12,13],[1,4,6,7,8,10,14],[1,4,8,9,12,13,14],[1,5,6,8,10,11,12],[1,6,7,9,11,12,13],[2,3,6,7,9,10,12],[2,3,6,10,12,13,14],[2,4,5,6,9,13,14],[2,4,5,7,11,12,14],[2,4,7,8,10,11,13],[2,5,7,8,9,10,13],[2,7,8,9,11,12,14],[3,4,5,9,10,11,12],[3,4,6,7,8,12,14],[3,4,6,8,9,11,13],[3,5,6,7,8,11,13],[3,5,8,10,12,13,14],[4,5,6,9,10,11,14]]; G[9450]:=Group([(2,13)(3,12)(5,9)(6,14)(7,8)]); # Design 9451: autom. group order 2, simple B[9451]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,10,11,13,14],[1,3,5,7,9,13,14],[1,3,7,9,10,11,14],[1,4,5,7,10,12,13],[1,4,6,7,8,10,14],[1,4,8,9,12,13,14],[1,5,6,8,10,11,12],[1,6,7,9,11,12,13],[2,3,6,7,9,10,12],[2,3,6,10,12,13,14],[2,4,5,7,11,12,14],[2,4,5,9,10,11,13],[2,4,6,7,8,13,14],[2,5,7,8,9,10,13],[2,7,8,9,11,12,14],[3,4,5,6,9,12,14],[3,4,6,8,9,11,13],[3,4,7,8,10,11,12],[3,5,6,7,8,11,13],[3,5,8,10,12,13,14],[4,5,6,9,10,11,14]]; G[9451]:=Group([(2,13)(3,12)(5,9)(6,14)(7,8)]); # Design 9452: autom. group order 2, simple, residual B[9452]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,10,11,13,14],[1,3,5,7,9,13,14],[1,3,7,9,10,11,14],[1,4,5,7,10,12,13],[1,4,6,7,8,10,14],[1,4,8,9,12,13,14],[1,5,6,8,10,11,12],[1,6,7,9,11,12,13],[2,3,6,10,12,13,14],[2,3,7,8,10,12,13],[2,4,5,6,9,13,14],[2,4,5,7,11,12,14],[2,4,6,7,9,10,11],[2,5,7,8,9,10,13],[2,7,8,9,11,12,14],[3,4,5,9,10,11,12],[3,4,6,7,8,12,14],[3,4,6,8,9,11,13],[3,5,6,7,8,11,13],[3,5,6,9,10,12,14],[4,5,8,10,11,13,14]]; G[9452]:=Group([(2,13)(3,12)(5,9)(6,14)(7,8)]); # Design 9453: autom. group order 2, simple, residual B[9453]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,8,12],[1,2,6,9,10,11,14],[1,3,5,9,12,13,14],[1,3,7,10,12,13,14],[1,4,5,7,9,11,13],[1,4,6,8,11,13,14],[1,4,7,8,9,10,12],[1,5,6,9,10,11,12],[1,6,7,8,10,13,14],[2,3,6,7,8,9,13],[2,3,7,9,10,11,14],[2,4,5,6,10,13,14],[2,4,5,7,10,12,14],[2,4,8,9,12,13,14],[2,5,8,10,11,12,13],[2,6,7,9,11,12,13],[3,4,5,6,9,10,13],[3,4,6,7,11,12,14],[3,4,6,8,10,11,12],[3,5,6,8,9,12,14],[3,5,7,8,10,11,13],[4,5,7,8,9,11,14]]; G[9453]:=Group([(1,13)(3,12)(4,11)(5,9)]); # Design 9454: autom. group order 2, simple, residual B[9454]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,8,12],[1,2,6,9,10,11,14],[1,3,5,9,10,12,13],[1,3,7,9,12,13,14],[1,4,5,7,10,13,14],[1,4,6,8,9,11,13],[1,4,7,8,10,11,12],[1,5,6,10,11,12,14],[1,6,7,8,9,13,14],[2,3,6,8,10,13,14],[2,3,7,9,11,12,14],[2,4,5,6,9,12,13],[2,4,5,7,9,10,14],[2,4,8,10,12,13,14],[2,5,7,8,9,11,13],[2,6,7,10,11,12,13],[3,4,5,6,11,13,14],[3,4,6,7,8,12,14],[3,4,6,7,9,10,11],[3,5,6,8,9,10,12],[3,5,7,8,10,11,13],[4,5,8,9,11,12,14]]; G[9454]:=Group([(1,13)(3,12)(5,10)(6,8)(7,14)]); # Design 9455: autom. group order 2, simple, residual B[9455]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,12,13],[1,3,5,9,10,12,14],[1,3,7,9,10,11,13],[1,4,5,7,10,12,13],[1,4,6,8,9,13,14],[1,4,7,8,9,11,14],[1,5,6,7,8,10,11],[1,6,10,11,12,13,14],[2,3,6,7,10,11,14],[2,3,7,8,12,13,14],[2,4,5,6,9,11,13],[2,4,5,10,11,13,14],[2,4,7,9,10,12,14],[2,5,7,8,9,10,13],[2,6,8,9,10,11,12],[3,4,5,6,8,10,12],[3,4,6,7,9,11,12],[3,4,6,8,10,13,14],[3,5,6,7,9,13,14],[3,5,8,9,11,12,13],[4,5,7,8,11,12,14]]; G[9455]:=Group([(1,9)(3,10)(4,8)(5,12)(7,11)]); # Design 9456: autom. group order 2, simple B[9456]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,10,11,13,14],[1,3,5,7,9,13,14],[1,3,7,9,10,11,14],[1,4,5,7,10,12,13],[1,4,6,7,8,10,14],[1,4,8,9,12,13,14],[1,5,6,8,10,11,12],[1,6,7,9,11,12,13],[2,3,6,7,9,10,12],[2,3,7,8,10,12,13],[2,4,5,7,11,12,14],[2,4,5,9,10,11,13],[2,4,6,7,8,13,14],[2,5,6,9,10,13,14],[2,7,8,9,11,12,14],[3,4,5,6,9,12,14],[3,4,6,8,9,11,13],[3,4,6,10,11,12,14],[3,5,6,7,8,11,13],[3,5,8,10,12,13,14],[4,5,7,8,9,10,11]]; G[9456]:=Group([(2,13)(3,12)(5,9)(6,14)(7,8)]); # Design 9457: autom. group order 2, simple, residual B[9457]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,7,8,9,12,14],[1,3,5,6,9,10,13],[1,3,6,7,8,13,14],[1,4,5,7,10,11,14],[1,4,6,7,9,11,14],[1,4,7,8,10,12,13],[1,5,8,9,11,12,13],[1,6,10,11,12,13,14],[2,3,6,10,11,12,14],[2,3,7,9,12,13,14],[2,4,5,6,7,12,13],[2,4,5,9,11,13,14],[2,4,6,8,10,13,14],[2,5,7,8,10,11,13],[2,6,7,8,9,10,11],[3,4,5,8,10,12,14],[3,4,6,8,9,11,13],[3,4,7,9,10,11,12],[3,5,6,7,8,11,12],[3,5,7,9,10,13,14],[4,5,6,8,9,12,14]]; G[9457]:=Group([(2,12)(3,13)(4,11)(5,10)(7,14)]); # Design 9458: autom. group order 2, simple, residual B[9458]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,7,8,10,12,14],[1,3,5,6,9,13,14],[1,3,6,7,8,10,13],[1,4,5,7,9,10,11],[1,4,6,7,10,11,14],[1,4,8,9,12,13,14],[1,5,7,8,11,12,13],[1,6,9,10,11,12,13],[2,3,6,7,9,11,12],[2,3,7,10,12,13,14],[2,4,5,6,10,12,13],[2,4,5,10,11,13,14],[2,4,6,7,8,9,13],[2,5,7,8,9,11,13],[2,6,8,9,10,11,14],[3,4,5,8,9,10,12],[3,4,6,8,11,13,14],[3,4,7,9,11,12,14],[3,5,6,8,10,11,12],[3,5,7,9,10,13,14],[4,5,6,7,8,12,14]]; G[9458]:=Group([(2,12)(3,13)(4,11)(5,9)(7,10)]); # Design 9459: autom. group order 2, simple, residual B[9459]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,7,8,9,12,14],[1,3,5,6,9,10,13],[1,3,6,7,8,13,14],[1,4,5,7,10,11,14],[1,4,6,7,9,11,14],[1,4,7,8,10,12,13],[1,5,8,9,11,12,13],[1,6,10,11,12,13,14],[2,3,6,7,10,11,12],[2,3,7,9,12,13,14],[2,4,5,6,12,13,14],[2,4,5,8,10,13,14],[2,4,7,9,10,11,13],[2,5,6,7,8,11,13],[2,6,8,9,10,11,14],[3,4,5,9,11,12,14],[3,4,6,8,9,11,13],[3,4,6,8,10,12,14],[3,5,7,8,10,11,12],[3,5,7,9,10,13,14],[4,5,6,7,8,9,12]]; G[9459]:=Group([(2,12)(3,13)(4,11)(5,10)(7,14)]); # Design 9460: autom. group order 2, simple, residual B[9460]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,7,8,10,12,14],[1,3,5,6,9,13,14],[1,3,6,7,8,10,13],[1,4,5,7,9,10,11],[1,4,6,7,10,11,14],[1,4,8,9,12,13,14],[1,5,7,8,11,12,13],[1,6,9,10,11,12,13],[2,3,6,9,10,11,12],[2,3,7,10,12,13,14],[2,4,5,6,7,12,13],[2,4,5,8,9,10,13],[2,4,7,9,11,13,14],[2,5,6,8,10,11,13],[2,6,7,8,9,11,14],[3,4,5,10,11,12,14],[3,4,6,7,8,9,12],[3,4,6,8,11,13,14],[3,5,7,8,9,11,12],[3,5,7,9,10,13,14],[4,5,6,8,10,12,14]]; G[9460]:=Group([(2,12)(3,13)(4,11)(5,9)(7,10)]); # Design 9461: autom. group order 2, simple B[9461]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,9,10,12,13,14],[1,3,5,6,10,12,13],[1,3,6,7,9,13,14],[1,4,5,7,8,10,14],[1,4,6,7,9,11,13],[1,4,7,10,11,12,14],[1,5,7,8,11,12,13],[1,6,8,9,10,11,14],[2,3,6,7,10,12,14],[2,3,7,8,11,13,14],[2,4,5,7,9,12,14],[2,4,5,9,10,11,13],[2,4,6,7,8,10,13],[2,5,6,10,11,13,14],[2,6,7,8,9,11,12],[3,4,5,6,9,11,14],[3,4,6,8,10,11,12],[3,4,8,9,12,13,14],[3,5,7,8,9,10,13],[3,5,7,9,10,11,12],[4,5,6,8,12,13,14]]; G[9461]:=Group([(1,12)(2,10)(4,6)(5,11)(7,8)(9,14)]); # Design 9462: autom. group order 2, simple B[9462]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,8,10,12,13,14],[1,3,5,6,8,9,13],[1,3,6,7,10,11,14],[1,4,5,7,9,10,13],[1,4,6,7,11,13,14],[1,4,9,10,11,12,14],[1,5,7,8,11,12,13],[1,6,7,8,9,10,12],[2,3,7,9,10,11,13],[2,3,7,9,12,13,14],[2,4,5,6,10,11,12],[2,4,5,7,8,10,14],[2,4,6,7,8,12,13],[2,5,6,9,10,11,13],[2,6,7,8,9,11,14],[3,4,5,7,9,12,14],[3,4,6,8,9,11,12],[3,4,6,8,10,13,14],[3,5,6,10,12,13,14],[3,5,7,8,10,11,12],[4,5,8,9,11,13,14]]; G[9462]:=Group([(2,9)(3,10)(5,12)(6,14)(7,11)]); # Design 9463: autom. group order 2, simple, residual B[9463]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,7,8,10,12,13],[1,3,5,6,7,10,11],[1,3,6,9,10,12,14],[1,4,5,7,9,13,14],[1,4,7,8,11,12,14],[1,4,9,10,11,13,14],[1,5,6,8,10,13,14],[1,6,7,8,9,11,12],[2,3,6,9,11,13,14],[2,3,7,8,10,13,14],[2,4,5,6,8,12,14],[2,4,5,7,9,10,11],[2,4,6,10,11,12,14],[2,5,7,9,10,12,14],[2,6,7,8,9,11,13],[3,4,5,8,9,12,13],[3,4,6,7,8,9,14],[3,4,6,7,10,12,13],[3,5,7,11,12,13,14],[3,5,8,9,10,11,12],[4,5,6,8,10,11,13]]; G[9463]:=Group([(1,12)(2,13)(6,9)(7,8)]); # Design 9464: autom. group order 2, simple, residual B[9464]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,7,8,12,13,14],[1,3,5,6,8,10,14],[1,3,7,9,10,11,12],[1,4,5,6,7,10,12],[1,4,6,8,9,11,13],[1,4,7,10,11,13,14],[1,5,9,10,11,12,14],[1,6,7,8,9,13,14],[2,3,6,7,9,12,14],[2,3,6,10,11,13,14],[2,4,5,7,8,9,11],[2,4,5,9,10,13,14],[2,4,7,8,10,12,14],[2,5,6,7,10,11,13],[2,6,8,9,10,11,12],[3,4,5,9,12,13,14],[3,4,6,7,9,11,14],[3,4,6,8,10,12,13],[3,5,7,8,9,10,13],[3,5,7,8,11,12,13],[4,5,6,8,11,12,14]]; G[9464]:=Group([(1,13)(2,12)(6,9)(7,14)]); # Design 9465: autom. group order 2, simple B[9465]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,7,8,12,13,14],[1,3,5,6,9,10,12],[1,3,7,9,10,11,13],[1,4,5,7,8,10,14],[1,4,6,7,8,9,11],[1,4,6,10,12,13,14],[1,5,8,10,11,12,13],[1,6,7,9,11,13,14],[2,3,6,7,8,12,13],[2,3,6,7,10,11,14],[2,4,5,6,10,11,13],[2,4,5,9,11,13,14],[2,4,7,9,10,12,14],[2,5,7,8,9,10,13],[2,6,8,9,10,11,12],[3,4,5,7,9,12,13],[3,4,6,8,10,13,14],[3,4,8,9,11,12,14],[3,5,6,8,9,13,14],[3,5,7,10,11,12,14],[4,5,6,7,8,11,12]]; G[9465]:=Group([(1,9)(3,10)(4,8)(5,12)(7,11)]); # Design 9466: autom. group order 2, simple B[9466]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,7,8,9,13,14],[1,3,5,6,10,12,13],[1,3,9,10,11,13,14],[1,4,5,7,9,12,13],[1,4,6,7,11,13,14],[1,4,6,8,10,12,14],[1,5,7,8,10,11,12],[1,6,7,8,9,10,11],[2,3,6,7,8,12,14],[2,3,6,7,9,10,13],[2,4,5,6,9,10,11],[2,4,5,7,10,11,14],[2,4,7,8,10,12,13],[2,5,8,9,11,12,13],[2,6,10,11,12,13,14],[3,4,5,8,10,13,14],[3,4,6,8,9,11,12],[3,4,7,9,11,12,14],[3,5,6,7,8,11,13],[3,5,7,9,10,12,14],[4,5,6,8,9,13,14]]; G[9466]:=Group([(1,13)(3,12)(4,11)(5,10)(7,14)]); # Design 9467: autom. group order 2, simple B[9467]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,7,8,12,13,14],[1,3,5,6,9,10,12],[1,3,7,9,10,11,13],[1,4,5,7,10,12,13],[1,4,6,7,8,9,11],[1,4,8,10,11,12,14],[1,5,6,8,10,13,14],[1,6,7,9,11,13,14],[2,3,6,7,8,12,13],[2,3,6,7,10,11,14],[2,4,5,6,10,11,13],[2,4,5,9,11,13,14],[2,4,7,9,10,12,14],[2,5,7,8,9,10,13],[2,6,8,9,10,11,12],[3,4,5,7,8,9,14],[3,4,6,8,10,13,14],[3,4,6,9,12,13,14],[3,5,7,10,11,12,14],[3,5,8,9,11,12,13],[4,5,6,7,8,11,12]]; G[9467]:=Group([(1,9)(3,10)(4,8)(5,12)(7,11)]); # Design 9468: autom. group order 2, simple B[9468]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,7,8,9,12,14],[1,3,5,6,10,12,13],[1,3,7,9,12,13,14],[1,4,5,8,10,13,14],[1,4,6,7,11,12,14],[1,4,7,9,10,11,13],[1,5,6,7,8,11,13],[1,6,8,9,10,11,14],[2,3,6,7,8,13,14],[2,3,6,7,9,10,11],[2,4,5,6,9,13,14],[2,4,5,7,10,11,14],[2,4,7,8,10,12,13],[2,5,8,9,11,12,13],[2,6,10,11,12,13,14],[3,4,5,9,11,12,14],[3,4,6,8,9,11,13],[3,4,6,8,10,12,14],[3,5,7,8,10,11,12],[3,5,7,9,10,13,14],[4,5,6,7,8,9,12]]; G[9468]:=Group([(1,12)(3,13)(4,11)(5,10)(7,14)]); # Design 9469: autom. group order 2, simple B[9469]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,7,8,9,10,12],[1,3,5,7,9,10,13],[1,3,6,7,10,13,14],[1,4,5,6,8,12,13],[1,4,6,7,10,11,14],[1,4,6,8,9,11,14],[1,5,10,11,12,13,14],[1,7,8,9,11,12,13],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,5,7,10,11,12],[2,4,5,9,10,13,14],[2,4,6,7,9,11,13],[2,5,6,8,10,11,13],[2,6,7,8,10,12,14],[3,4,5,7,8,12,14],[3,4,6,8,10,12,13],[3,4,9,10,11,12,14],[3,5,6,7,9,11,12],[3,5,6,8,9,10,11],[4,5,7,8,9,13,14]]; G[9469]:=Group([(2,12)(3,13)(4,11)(6,14)(7,10)]); # Design 9470: autom. group order 2, simple, residual B[9470]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,7,8,9,11,14],[1,3,5,7,9,10,13],[1,3,6,7,10,13,14],[1,4,5,6,8,12,13],[1,4,6,7,10,11,14],[1,4,6,8,9,10,12],[1,5,10,11,12,13,14],[1,7,8,9,11,12,13],[2,3,6,9,12,13,14],[2,3,7,8,10,12,13],[2,4,5,7,10,11,12],[2,4,5,9,10,13,14],[2,4,6,7,9,11,13],[2,5,6,8,10,11,13],[2,6,7,8,10,12,14],[3,4,5,7,8,12,14],[3,4,6,8,11,13,14],[3,4,9,10,11,12,14],[3,5,6,7,9,11,12],[3,5,6,8,9,10,11],[4,5,7,8,9,13,14]]; G[9470]:=Group([(2,12)(3,13)(4,11)(6,14)(7,10)]); # Design 9471: autom. group order 2, simple B[9471]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,7,10,11,12,14],[1,3,5,7,9,13,14],[1,3,6,9,10,11,14],[1,4,5,6,10,12,13],[1,4,6,7,8,10,14],[1,4,8,9,12,13,14],[1,5,7,8,10,11,13],[1,6,7,9,11,12,13],[2,3,6,8,10,12,13],[2,3,7,10,12,13,14],[2,4,5,6,11,13,14],[2,4,5,7,9,12,14],[2,4,6,7,9,10,11],[2,5,7,8,9,10,13],[2,6,8,9,11,13,14],[3,4,5,9,10,11,13],[3,4,6,7,8,13,14],[3,4,7,8,9,11,12],[3,5,6,7,8,11,12],[3,5,6,9,10,12,14],[4,5,8,10,11,12,14]]; G[9471]:=Group([(2,12)(3,13)(5,9)(6,8)(7,14)]); # Design 9472: autom. group order 2, simple, residual B[9472]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,7,8,12,13,14],[1,3,5,7,8,9,10],[1,3,6,7,10,11,12],[1,4,5,6,10,12,14],[1,4,6,8,9,11,13],[1,4,7,10,11,13,14],[1,5,9,10,11,12,14],[1,6,7,8,9,13,14],[2,3,6,7,9,12,14],[2,3,9,10,11,13,14],[2,4,5,6,8,11,14],[2,4,5,7,9,10,13],[2,4,7,8,10,12,14],[2,5,6,7,10,11,13],[2,6,8,9,10,11,12],[3,4,5,9,12,13,14],[3,4,6,7,9,11,14],[3,4,6,8,10,12,13],[3,5,6,8,10,13,14],[3,5,7,8,11,12,13],[4,5,7,8,9,11,12]]; G[9472]:=Group([(1,13)(2,12)(6,9)(7,14)]); # Design 9473: autom. group order 2, simple, residual B[9473]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,8,9,10,12,14],[1,3,5,7,9,12,13],[1,3,6,10,11,13,14],[1,4,5,10,11,13,14],[1,4,6,7,8,9,11],[1,4,6,7,10,12,14],[1,5,6,7,8,10,13],[1,7,8,9,11,12,13],[2,3,6,7,9,13,14],[2,3,6,7,10,11,12],[2,4,5,7,8,13,14],[2,4,5,7,9,10,11],[2,4,6,8,11,12,13],[2,5,6,8,10,12,13],[2,7,9,10,11,13,14],[3,4,5,9,10,12,13],[3,4,6,8,9,13,14],[3,4,7,8,10,12,14],[3,5,6,8,9,10,11],[3,5,7,8,11,12,14],[4,5,6,9,11,12,14]]; G[9473]:=Group([(2,7)(3,6)(10,11)(13,14)]); # Design 9474: autom. group order 2, simple, residual B[9474]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,7,8,9,12,14],[1,3,5,10,12,13,14],[1,3,6,7,9,10,11],[1,4,5,7,8,10,12],[1,4,6,7,8,11,14],[1,4,6,11,12,13,14],[1,5,7,9,10,13,14],[1,6,8,9,10,11,13],[2,3,6,7,10,12,14],[2,3,6,8,9,13,14],[2,4,5,7,9,11,13],[2,4,5,9,10,11,14],[2,4,6,7,10,13,14],[2,5,6,8,10,11,12],[2,7,8,10,11,12,13],[3,4,5,6,8,10,13],[3,4,7,8,9,12,13],[3,4,9,10,11,12,14],[3,5,6,7,9,11,12],[3,5,7,8,11,13,14],[4,5,6,8,9,12,14]]; G[9474]:=Group([(1,6)(2,5)(3,12)(4,9)(7,13)(10,14)]); # Design 9475: autom. group order 2, simple B[9475]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,7,10,12,13,14],[1,3,5,7,9,10,13],[1,3,6,8,10,13,14],[1,4,5,7,11,13,14],[1,4,6,7,8,9,11],[1,4,9,10,11,12,14],[1,5,6,7,8,10,12],[1,6,8,9,11,12,13],[2,3,6,7,9,12,13],[2,3,6,9,10,11,14],[2,4,5,6,10,11,13],[2,4,5,8,9,12,13],[2,4,7,8,10,12,14],[2,5,7,8,9,10,11],[2,6,7,8,11,13,14],[3,4,5,6,8,12,14],[3,4,6,7,10,11,12],[3,4,7,8,9,13,14],[3,5,7,9,11,12,14],[3,5,8,10,11,12,13],[4,5,6,9,10,13,14]]; G[9475]:=Group([(1,7)(2,9)(4,13)(6,10)(8,12)(11,14)]); # Design 9476: autom. group order 2, simple, residual B[9476]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,7,8,9,11,13],[1,3,5,9,10,12,13],[1,3,6,9,10,13,14],[1,4,5,7,8,10,14],[1,4,6,7,8,12,13],[1,4,7,10,11,12,14],[1,5,6,8,10,11,12],[1,6,7,9,11,13,14],[2,3,6,7,10,11,14],[2,3,7,8,12,13,14],[2,4,5,6,12,13,14],[2,4,5,7,9,10,13],[2,4,9,10,11,12,14],[2,5,6,8,10,11,13],[2,6,7,8,9,10,12],[3,4,5,6,7,9,11],[3,4,6,8,9,11,12],[3,4,6,8,10,13,14],[3,5,7,8,9,12,14],[3,5,7,10,11,12,13],[4,5,8,9,11,13,14]]; G[9476]:=Group([(1,9)(3,10)(5,12)(6,14)(7,11)]); # Design 9477: autom. group order 2, simple, residual B[9477]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,8,9,10,12],[1,2,6,7,9,11,14],[1,3,5,6,9,10,13],[1,3,6,7,10,11,14],[1,4,5,6,12,13,14],[1,4,7,8,9,13,14],[1,4,7,8,10,12,14],[1,5,7,8,11,12,13],[1,6,9,10,11,12,13],[2,3,6,7,8,12,13],[2,3,7,9,12,13,14],[2,4,5,6,9,12,14],[2,4,5,10,11,13,14],[2,4,7,9,10,11,13],[2,5,6,7,8,10,13],[2,6,8,10,11,12,14],[3,4,5,7,10,11,12],[3,4,6,8,9,11,12],[3,4,6,8,10,13,14],[3,5,7,9,10,12,14],[3,5,8,9,11,13,14],[4,5,6,7,8,9,11]]; G[9477]:=Group([(2,13)(3,12)(4,11)(6,8)]); # Design 9478: autom. group order 2, simple, residual B[9478]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,8,9,10,12],[1,2,6,7,9,11,14],[1,3,5,6,9,10,13],[1,3,6,7,10,11,14],[1,4,5,6,12,13,14],[1,4,7,8,9,13,14],[1,4,7,8,10,12,14],[1,5,7,8,11,12,13],[1,6,9,10,11,12,13],[2,3,6,8,12,13,14],[2,3,7,9,12,13,14],[2,4,5,6,7,9,12],[2,4,5,7,10,11,13],[2,4,9,10,11,13,14],[2,5,6,8,10,13,14],[2,6,7,8,10,11,12],[3,4,5,10,11,12,14],[3,4,6,7,8,10,13],[3,4,6,8,9,11,12],[3,5,7,8,9,11,13],[3,5,7,9,10,12,14],[4,5,6,8,9,11,14]]; G[9478]:=Group([(2,13)(3,12)(4,11)(6,8)]); # Design 9479: autom. group order 2, simple B[9479]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,9,10,12,14],[1,2,6,8,9,13,14],[1,3,5,6,10,13,14],[1,3,6,7,9,10,12],[1,4,5,7,10,12,13],[1,4,6,7,8,9,11],[1,4,7,8,10,11,14],[1,5,6,8,11,12,13],[1,7,9,11,12,13,14],[2,3,6,7,10,11,13],[2,3,7,8,9,12,13],[2,4,5,6,9,11,12],[2,4,5,7,9,13,14],[2,4,6,10,11,12,14],[2,5,7,8,10,11,13],[2,6,7,8,10,12,14],[3,4,5,7,8,12,14],[3,4,6,8,12,13,14],[3,4,9,10,11,13,14],[3,5,6,7,9,11,14],[3,5,8,9,10,11,12],[4,5,6,8,9,10,13]]; G[9479]:=Group([(2,12)(3,13)(4,11)(7,8)(10,14)]); # Design 9480: autom. group order 2, simple, residual B[9480]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,9,10,12,14],[1,2,6,8,9,13,14],[1,3,5,6,10,13,14],[1,3,6,7,9,10,12],[1,4,5,7,10,12,13],[1,4,6,7,8,9,11],[1,4,7,8,10,11,14],[1,5,6,8,11,12,13],[1,7,9,11,12,13,14],[2,3,6,7,8,12,13],[2,3,7,9,10,11,13],[2,4,5,6,9,11,12],[2,4,5,7,9,13,14],[2,4,6,10,11,12,14],[2,5,7,8,10,11,13],[2,6,7,8,10,12,14],[3,4,5,7,8,12,14],[3,4,6,10,11,13,14],[3,4,8,9,12,13,14],[3,5,6,7,9,11,14],[3,5,8,9,10,11,12],[4,5,6,8,9,10,13]]; G[9480]:=Group([(2,12)(3,13)(4,11)(7,8)(10,14)]); # Design 9481: autom. group order 2, simple, residual B[9481]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,9,10,12,13],[1,2,6,7,8,12,14],[1,3,5,6,7,9,14],[1,3,6,8,10,12,13],[1,4,5,7,10,13,14],[1,4,6,10,11,12,14],[1,4,7,8,9,11,12],[1,5,6,8,9,11,13],[1,7,9,10,11,13,14],[2,3,6,10,11,13,14],[2,3,7,9,10,12,14],[2,4,5,7,8,10,13],[2,4,5,9,11,12,14],[2,4,6,8,9,13,14],[2,5,6,7,11,12,13],[2,6,7,8,9,10,11],[3,4,5,6,9,10,11],[3,4,6,7,9,12,13],[3,4,7,8,11,13,14],[3,5,7,8,10,11,12],[3,5,8,9,12,13,14],[4,5,6,8,10,12,14]]; G[9481]:=Group([(1,4)(2,11)(3,12)(5,14)(7,10)(8,9)]); # Design 9482: autom. group order 2, simple B[9482]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,9,10,12,14],[1,2,6,7,8,11,12],[1,3,5,6,9,12,13],[1,3,6,7,9,10,13],[1,4,5,7,8,10,13],[1,4,6,10,11,12,14],[1,4,8,9,11,13,14],[1,5,7,9,11,13,14],[1,6,7,8,10,12,14],[2,3,6,10,11,13,14],[2,3,7,8,10,13,14],[2,4,5,6,9,10,14],[2,4,5,7,12,13,14],[2,4,6,8,9,12,13],[2,5,6,7,8,9,11],[2,7,9,10,11,12,13],[3,4,5,7,10,11,12],[3,4,6,7,9,11,14],[3,4,7,8,9,12,14],[3,5,6,8,12,13,14],[3,5,8,9,10,11,12],[4,5,6,8,10,11,13]]; G[9482]:=Group([(1,12)(3,13)(5,9)(7,8)(10,14)]); # Design 9483: autom. group order 2, simple, residual B[9483]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,9,10,12,14],[1,2,6,7,8,11,12],[1,3,5,6,9,12,13],[1,3,6,10,12,13,14],[1,4,5,7,8,10,13],[1,4,6,7,9,10,11],[1,4,8,9,11,13,14],[1,5,7,9,11,13,14],[1,6,7,8,10,12,14],[2,3,6,7,9,11,14],[2,3,7,8,10,13,14],[2,4,5,6,9,10,14],[2,4,5,7,12,13,14],[2,4,6,8,9,12,13],[2,5,6,8,10,11,13],[2,7,9,10,11,12,13],[3,4,5,7,10,11,12],[3,4,6,10,11,13,14],[3,4,7,8,9,12,14],[3,5,6,7,8,9,13],[3,5,8,9,10,11,12],[4,5,6,8,11,12,14]]; G[9483]:=Group([(1,12)(3,13)(5,9)(7,8)(10,14)]); # Design 9484: autom. group order 2, simple, residual B[9484]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,8,9,10,12],[1,2,6,7,9,11,14],[1,3,5,6,9,13,14],[1,3,7,10,11,12,14],[1,4,5,6,12,13,14],[1,4,6,7,8,10,14],[1,4,7,8,9,12,13],[1,5,7,8,10,11,13],[1,6,9,10,11,12,13],[2,3,6,7,9,10,13],[2,3,7,10,12,13,14],[2,4,5,6,10,11,12],[2,4,5,7,9,11,13],[2,4,6,8,10,13,14],[2,5,7,8,12,13,14],[2,6,8,9,11,12,14],[3,4,5,9,10,12,14],[3,4,6,7,8,11,12],[3,4,8,9,11,13,14],[3,5,6,7,8,9,12],[3,5,6,8,10,11,13],[4,5,7,9,10,11,14]]; G[9484]:=Group([(2,13)(3,12)(5,9)(6,8)(10,14)]); # Design 9485: autom. group order 2, simple B[9485]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,8,9,10,12],[1,2,6,7,9,11,14],[1,3,5,6,9,13,14],[1,3,7,10,11,12,14],[1,4,5,6,12,13,14],[1,4,6,7,8,10,14],[1,4,7,8,9,12,13],[1,5,7,8,10,11,13],[1,6,9,10,11,12,13],[2,3,6,7,9,10,13],[2,3,7,10,12,13,14],[2,4,5,6,10,11,12],[2,4,5,9,10,13,14],[2,4,6,7,8,11,13],[2,5,7,8,12,13,14],[2,6,8,9,11,12,14],[3,4,5,7,9,11,12],[3,4,6,8,10,12,14],[3,4,8,9,11,13,14],[3,5,6,7,8,9,12],[3,5,6,8,10,11,13],[4,5,7,9,10,11,14]]; G[9485]:=Group([(2,13)(3,12)(5,9)(6,8)(10,14)]); # Design 9486: autom. group order 2, simple B[9486]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,9,12,13,14],[1,2,6,8,10,11,12],[1,3,5,7,8,9,13],[1,3,6,7,10,11,14],[1,4,5,6,10,13,14],[1,4,6,9,11,13,14],[1,4,7,9,10,12,14],[1,5,7,8,10,12,13],[1,6,7,8,9,11,12],[2,3,6,7,9,12,14],[2,3,7,10,12,13,14],[2,4,5,6,8,12,14],[2,4,5,7,9,10,11],[2,4,6,7,8,9,13],[2,5,6,7,10,11,13],[2,8,9,10,11,13,14],[3,4,5,9,10,11,12],[3,4,6,8,10,12,13],[3,4,7,8,11,13,14],[3,5,6,8,9,10,14],[3,5,6,9,11,12,13],[4,5,7,8,11,12,14]]; G[9486]:=Group([(2,3)(5,11)(6,13)(7,12)(9,10)]); # Design 9487: autom. group order 2, simple B[9487]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,9,12,13,14],[1,2,6,8,10,11,12],[1,3,5,7,8,9,13],[1,3,6,7,10,11,14],[1,4,5,6,10,13,14],[1,4,6,9,11,13,14],[1,4,7,9,10,12,14],[1,5,7,8,10,12,13],[1,6,7,8,9,11,12],[2,3,6,7,9,12,14],[2,3,7,10,12,13,14],[2,4,5,6,8,12,14],[2,4,5,7,9,10,11],[2,4,6,7,8,10,13],[2,5,6,7,9,11,13],[2,8,9,10,11,13,14],[3,4,5,9,10,11,12],[3,4,6,8,9,12,13],[3,4,7,8,11,13,14],[3,5,6,8,9,10,14],[3,5,6,10,11,12,13],[4,5,7,8,11,12,14]]; G[9487]:=Group([(2,3)(5,11)(6,13)(7,12)(9,10)]); # Design 9488: autom. group order 2, simple B[9488]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,8,9,10,12],[1,2,6,9,11,13,14],[1,3,5,7,10,13,14],[1,3,6,7,9,10,11],[1,4,5,7,12,13,14],[1,4,6,7,8,9,14],[1,4,6,8,10,12,13],[1,5,6,8,11,12,14],[1,7,9,10,11,12,13],[2,3,6,7,10,12,14],[2,3,6,9,12,13,14],[2,4,5,6,10,11,13],[2,4,5,7,9,11,12],[2,4,7,8,9,13,14],[2,5,6,7,8,10,13],[2,7,8,10,11,12,14],[3,4,5,9,10,12,14],[3,4,6,7,8,11,12],[3,4,8,10,11,13,14],[3,5,6,8,9,12,13],[3,5,7,8,9,11,13],[4,5,6,9,10,11,14]]; G[9488]:=Group([(2,13)(3,12)(5,10)(7,8)(9,14)]); # Design 9489: autom. group order 2, simple, residual B[9489]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,8,9,10,12],[1,2,6,9,11,13,14],[1,3,5,7,10,13,14],[1,3,6,7,9,10,11],[1,4,5,7,12,13,14],[1,4,6,7,8,9,14],[1,4,6,8,10,12,13],[1,5,6,8,11,12,14],[1,7,9,10,11,12,13],[2,3,6,7,10,12,14],[2,3,6,9,12,13,14],[2,4,5,7,9,11,12],[2,4,5,9,10,13,14],[2,4,6,7,8,11,13],[2,5,6,7,8,10,13],[2,7,8,10,11,12,14],[3,4,5,6,10,11,12],[3,4,7,8,9,12,14],[3,4,8,10,11,13,14],[3,5,6,8,9,12,13],[3,5,7,8,9,11,13],[4,5,6,9,10,11,14]]; G[9489]:=Group([(2,13)(3,12)(5,10)(7,8)(9,14)]); # Design 9490: autom. group order 2, simple, residual B[9490]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,8,9,10,12],[1,2,6,9,11,13,14],[1,3,5,7,10,13,14],[1,3,6,7,9,10,11],[1,4,5,7,12,13,14],[1,4,6,7,8,9,14],[1,4,6,8,10,12,13],[1,5,6,8,11,12,14],[1,7,9,10,11,12,13],[2,3,6,7,8,12,13],[2,3,6,9,12,13,14],[2,4,5,7,9,11,12],[2,4,5,9,10,13,14],[2,4,6,7,10,11,14],[2,5,6,7,8,10,13],[2,7,8,10,11,12,14],[3,4,5,6,10,11,12],[3,4,7,8,9,12,14],[3,4,8,10,11,13,14],[3,5,6,9,10,12,14],[3,5,7,8,9,11,13],[4,5,6,8,9,11,13]]; G[9490]:=Group([(2,13)(3,12)(5,10)(7,8)(9,14)]); # Design 9491: autom. group order 2, simple, residual B[9491]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,6,7,9,12,14],[1,3,5,7,9,10,12],[1,3,6,9,10,11,13],[1,4,6,7,8,10,11],[1,4,6,9,11,12,14],[1,4,7,8,10,13,14],[1,5,7,10,12,13,14],[1,5,8,9,11,13,14],[2,3,6,7,8,13,14],[2,3,7,10,11,12,14],[2,4,5,6,9,10,14],[2,4,5,10,11,12,13],[2,4,7,9,11,13,14],[2,5,7,8,9,10,11],[2,6,8,9,10,12,13],[3,4,5,6,10,13,14],[3,4,5,8,9,12,14],[3,4,7,8,9,12,13],[3,5,6,7,9,11,13],[3,6,8,10,11,12,14],[4,5,6,7,8,11,12]]; G[9491]:=Group([(1,10)(3,9)(4,8)(6,11)]); # Design 9492: autom. group order 2, simple, residual B[9492]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,6,7,9,12,14],[1,3,5,9,10,12,14],[1,3,6,9,10,11,13],[1,4,6,7,9,11,12],[1,4,6,8,10,11,14],[1,4,7,8,10,13,14],[1,5,7,8,9,11,13],[1,5,7,10,12,13,14],[2,3,6,7,8,13,14],[2,3,7,10,11,12,14],[2,4,5,6,9,10,14],[2,4,5,10,11,12,13],[2,4,7,9,11,13,14],[2,5,7,8,9,10,11],[2,6,8,9,10,12,13],[3,4,5,6,7,10,13],[3,4,5,7,8,9,12],[3,4,8,9,12,13,14],[3,5,6,9,11,13,14],[3,6,7,8,10,11,12],[4,5,6,8,11,12,14]]; G[9492]:=Group([(1,10)(3,9)(4,8)(6,11)]); # Design 9493: autom. group order 2, simple, residual B[9493]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,12,13],[1,3,5,9,10,12,14],[1,3,7,9,10,11,13],[1,4,6,7,10,11,12],[1,4,6,8,9,13,14],[1,4,7,8,9,11,14],[1,5,6,7,10,13,14],[1,5,8,10,11,12,13],[2,3,6,7,10,11,14],[2,3,7,8,12,13,14],[2,4,5,6,9,11,13],[2,4,5,10,11,13,14],[2,4,7,9,10,12,14],[2,5,7,8,9,10,13],[2,6,8,9,10,11,12],[3,4,5,6,8,10,12],[3,4,5,7,9,12,13],[3,4,6,8,10,13,14],[3,5,6,7,8,9,11],[3,6,9,11,12,13,14],[4,5,7,8,11,12,14]]; G[9493]:=Group([(1,9)(3,10)(4,8)(5,12)(7,11)]); # Design 9494: autom. group order 2, simple, residual B[9494]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,7,9,10,13,14],[1,3,5,7,8,12,14],[1,3,6,9,12,13,14],[1,4,6,7,10,11,14],[1,4,6,8,9,11,12],[1,4,7,8,10,12,13],[1,5,6,8,10,11,13],[1,5,7,9,11,13,14],[2,3,6,7,8,11,13],[2,3,6,10,12,13,14],[2,4,5,8,10,13,14],[2,4,5,9,11,12,14],[2,4,6,7,8,9,14],[2,5,6,7,10,11,12],[2,7,8,9,11,12,13],[3,4,5,6,7,9,13],[3,4,5,9,10,11,13],[3,4,7,10,11,12,14],[3,5,7,8,9,10,12],[3,6,8,9,10,11,14],[4,5,6,8,12,13,14]]; G[9494]:=Group([(1,9)(2,10)(4,8)(6,12)(13,14)]); # Design 9495: autom. group order 2, simple, residual B[9495]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,7,9,10,11],[1,2,3,8,9,10,12],[1,2,4,7,12,13,14],[1,2,4,9,11,12,13],[1,3,5,8,11,13,14],[1,3,5,9,11,12,14],[1,4,5,9,10,13,14],[1,4,6,7,10,11,14],[1,5,6,8,10,12,13],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,6,10,11,13,14],[2,3,6,10,12,13,14],[2,4,5,8,10,11,14],[2,4,6,8,9,11,13],[2,5,6,7,9,12,14],[2,5,7,8,9,10,14],[2,5,7,8,11,12,13],[3,4,5,7,10,12,13],[3,4,6,8,9,12,14],[3,4,7,8,9,10,13],[3,4,7,8,11,12,14],[3,5,6,7,9,11,13],[4,5,6,9,10,11,12]]; G[9495]:=Group([(1,10)(4,14)(5,13)(7,11)(8,12)]); # Design 9496: autom. group order 2, simple B[9496]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,7,9,10,11],[1,2,3,8,9,10,12],[1,2,4,7,12,13,14],[1,2,4,9,11,12,13],[1,3,5,10,11,13,14],[1,3,5,10,12,13,14],[1,4,5,8,9,12,14],[1,4,6,8,10,11,14],[1,5,6,7,9,11,13],[1,6,7,8,9,10,14],[1,6,7,8,11,12,13],[2,3,6,8,11,13,14],[2,3,7,8,9,13,14],[2,4,5,8,10,11,13],[2,4,6,9,10,13,14],[2,5,6,7,10,12,14],[2,5,6,9,11,12,14],[2,5,7,8,10,11,12],[3,4,5,7,9,11,14],[3,4,6,7,10,12,13],[3,4,6,9,10,11,12],[3,4,7,8,11,12,14],[3,5,6,8,9,12,13],[4,5,7,8,9,10,13]]; G[9496]:=Group([(2,10)(4,14)(6,13)(7,11)(8,12)]); # Design 9497: autom. group order 2, simple, residual B[9497]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,13,14],[1,3,5,6,9,13,14],[1,3,5,8,11,12,14],[1,4,5,10,11,12,13],[1,4,7,9,11,12,14],[1,5,7,8,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,8,10,12],[2,4,6,7,11,13,14],[2,5,6,9,10,12,13],[2,5,6,9,11,12,14],[2,5,7,8,11,13,14],[3,4,5,7,9,11,13],[3,4,6,8,10,13,14],[3,4,6,8,11,12,13],[3,4,7,9,10,12,14],[3,5,6,7,10,12,14],[4,5,6,8,9,10,11]]; G[9497]:=Group([(2,3)(4,5)(8,9)(10,11)(12,13)]); # Design 9498: autom. group order 2, simple, residual B[9498]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,13,14],[1,3,5,6,9,13,14],[1,3,5,8,11,12,14],[1,4,5,10,11,12,13],[1,4,7,9,11,12,14],[1,5,7,8,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,8,10,12],[2,4,6,7,11,13,14],[2,5,6,8,11,13,14],[2,5,6,9,10,12,13],[2,5,7,9,11,12,14],[3,4,5,7,9,11,13],[3,4,6,8,11,12,13],[3,4,6,9,10,12,14],[3,4,7,8,10,13,14],[3,5,6,7,10,12,14],[4,5,6,8,9,10,11]]; G[9498]:=Group([(2,3)(4,5)(8,9)(10,11)(12,13)]); # Design 9499: autom. group order 2, simple, residual B[9499]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,12,14],[1,3,5,6,9,13,14],[1,3,5,8,11,13,14],[1,4,5,10,11,12,13],[1,4,7,8,10,13,14],[1,5,7,9,11,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,11,13],[2,4,6,7,11,13,14],[2,5,6,8,11,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,13,14],[3,4,5,7,8,10,12],[3,4,6,8,11,12,13],[3,4,6,9,10,13,14],[3,4,7,9,11,12,14],[3,5,6,7,10,12,14],[4,5,6,8,9,10,11]]; G[9499]:=Group([(2,3)(4,5)(8,9)(10,11)(12,13)]); # Design 9500: autom. group order 2, simple B[9500]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,4,6,10,12,14],[1,2,4,8,11,13,14],[1,3,5,6,11,13,14],[1,3,5,9,10,12,14],[1,4,5,10,11,12,13],[1,4,7,9,11,12,14],[1,5,7,8,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,7,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,7,8,10,12],[2,4,6,7,9,13,14],[2,5,6,8,11,12,13],[2,5,6,9,10,13,14],[2,5,7,9,11,12,14],[3,4,5,7,9,11,13],[3,4,6,8,11,12,14],[3,4,6,9,10,12,13],[3,4,7,8,10,13,14],[3,5,6,7,8,12,14],[4,5,6,8,9,10,11]]; G[9500]:=Group([(2,3)(4,5)(8,9)(10,11)(12,13)]); # Design 9501: autom. group order 2, simple B[9501]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,4,6,10,12,14],[1,2,4,8,11,13,14],[1,3,5,6,11,13,14],[1,3,5,9,10,12,14],[1,4,5,10,11,12,13],[1,4,7,9,11,12,14],[1,5,7,8,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,7,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,7,8,10,12],[2,4,6,7,9,13,14],[2,5,6,8,11,12,13],[2,5,6,9,11,12,14],[2,5,7,9,10,13,14],[3,4,5,7,9,11,13],[3,4,6,8,10,13,14],[3,4,6,9,10,12,13],[3,4,7,8,11,12,14],[3,5,6,7,8,12,14],[4,5,6,8,9,10,11]]; G[9501]:=Group([(2,3)(4,5)(8,9)(10,11)(12,13)]); # Design 9502: autom. group order 2, simple B[9502]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,4,6,10,12,14],[1,2,4,8,11,12,14],[1,3,5,6,11,13,14],[1,3,5,9,10,13,14],[1,4,5,10,11,12,13],[1,4,7,8,10,13,14],[1,5,7,9,11,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,7,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,11,13],[2,4,6,7,9,13,14],[2,5,6,8,11,12,13],[2,5,6,9,10,12,14],[2,5,7,8,10,13,14],[3,4,5,7,8,10,12],[3,4,6,8,11,13,14],[3,4,6,9,10,12,13],[3,4,7,9,11,12,14],[3,5,6,7,8,12,14],[4,5,6,8,9,10,11]]; G[9502]:=Group([(2,3)(4,5)(8,9)(10,11)(12,13)]); # Design 9503: autom. group order 2, simple, residual B[9503]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,13,14],[1,3,5,6,9,13,14],[1,3,5,8,11,12,14],[1,4,5,10,11,12,13],[1,4,7,9,10,12,14],[1,5,7,8,11,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,11,12],[2,4,6,8,11,13,14],[2,5,6,7,10,13,14],[2,5,6,9,11,12,13],[2,5,7,8,10,12,14],[3,4,5,7,8,10,13],[3,4,6,7,11,12,14],[3,4,6,8,10,12,13],[3,4,7,9,11,13,14],[3,5,6,9,10,12,14],[4,5,6,8,9,10,11]]; G[9503]:=Group([(2,3)(4,5)(8,9)(10,11)(12,13)]); # Design 9504: autom. group order 2, simple, residual B[9504]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,12,14],[1,3,5,6,9,13,14],[1,3,5,8,11,13,14],[1,4,5,10,11,12,13],[1,4,7,9,11,13,14],[1,5,7,8,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,13],[2,4,6,8,11,13,14],[2,5,6,7,11,12,14],[2,5,6,9,11,12,13],[2,5,7,8,10,13,14],[3,4,5,7,8,11,12],[3,4,6,7,10,13,14],[3,4,6,8,10,12,13],[3,4,7,9,11,12,14],[3,5,6,9,10,12,14],[4,5,6,8,9,10,11]]; G[9504]:=Group([(2,3)(4,5)(8,9)(10,11)(12,13)]); # Design 9505: autom. group order 2, simple, residual B[9505]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,12,14],[1,3,5,6,9,13,14],[1,3,5,8,11,13,14],[1,4,5,10,11,12,13],[1,4,7,9,10,13,14],[1,5,7,8,11,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,11,13],[2,4,6,8,11,13,14],[2,5,6,7,10,13,14],[2,5,6,8,10,12,13],[2,5,7,9,11,12,14],[3,4,5,7,8,10,12],[3,4,6,7,11,12,14],[3,4,6,9,11,12,13],[3,4,7,8,10,13,14],[3,5,6,9,10,12,14],[4,5,6,8,9,10,11]]; G[9505]:=Group([(2,3)(4,5)(8,9)(10,11)(12,13)]); # Design 9506: autom. group order 2, simple, residual B[9506]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,13,14],[1,3,5,6,9,13,14],[1,3,5,8,11,12,14],[1,4,5,10,11,12,13],[1,4,7,9,10,12,14],[1,5,7,8,11,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,11,13],[2,4,6,8,11,12,13],[2,5,6,7,10,12,14],[2,5,6,8,10,13,14],[2,5,7,9,11,12,14],[3,4,5,7,8,10,12],[3,4,6,7,11,13,14],[3,4,6,9,11,12,14],[3,4,7,8,10,13,14],[3,5,6,9,10,12,13],[4,5,6,8,9,10,11]]; G[9506]:=Group([(2,3)(4,5)(8,9)(10,11)(12,13)]); # Design 9507: autom. group order 2, simple, residual B[9507]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,13,14],[1,3,5,6,9,13,14],[1,3,5,8,11,12,14],[1,4,5,10,11,12,13],[1,4,7,9,11,12,14],[1,5,7,8,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,10,12],[2,4,6,8,11,13,14],[2,5,6,7,11,12,14],[2,5,6,8,10,12,13],[2,5,7,9,11,13,14],[3,4,5,7,8,11,13],[3,4,6,7,10,13,14],[3,4,6,9,11,12,13],[3,4,7,8,10,12,14],[3,5,6,9,10,12,14],[4,5,6,8,9,10,11]]; G[9507]:=Group([(2,3)(4,5)(8,9)(10,11)(12,13)]); # Design 9508: autom. group order 2, simple, residual B[9508]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,12,14],[1,3,5,6,9,13,14],[1,3,5,8,11,13,14],[1,4,5,10,11,12,13],[1,4,7,8,11,13,14],[1,5,7,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,8,10,13],[2,4,6,9,11,13,14],[2,5,6,7,10,13,14],[2,5,6,9,11,12,13],[2,5,7,8,11,12,14],[3,4,5,7,9,11,12],[3,4,6,7,11,12,14],[3,4,6,8,10,12,13],[3,4,7,9,10,13,14],[3,5,6,8,10,12,14],[4,5,6,8,9,10,11]]; G[9508]:=Group([(2,3)(4,5)(8,9)(10,11)(12,13)]); # Design 9509: autom. group order 2, simple, residual B[9509]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,13,14],[1,3,5,6,9,13,14],[1,3,5,8,11,12,14],[1,4,5,10,11,12,13],[1,4,7,8,11,13,14],[1,5,7,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,8,10,12],[2,4,6,9,11,12,13],[2,5,6,7,10,13,14],[2,5,6,9,11,12,14],[2,5,7,8,11,13,14],[3,4,5,7,9,11,13],[3,4,6,7,11,12,14],[3,4,6,8,10,13,14],[3,4,7,9,10,12,14],[3,5,6,8,10,12,13],[4,5,6,8,9,10,11]]; G[9509]:=Group([(2,3)(4,5)(8,9)(10,11)(12,13)]); # Design 9510: autom. group order 2, simple B[9510]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,4,6,10,12,14],[1,2,4,8,10,13,14],[1,3,5,6,11,13,14],[1,3,5,9,11,12,14],[1,4,5,10,11,12,13],[1,4,7,9,11,13,14],[1,5,7,8,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,7,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,7,8,11,12],[2,4,6,9,11,12,13],[2,5,6,7,9,12,14],[2,5,6,9,10,13,14],[2,5,7,8,11,13,14],[3,4,5,7,9,10,13],[3,4,6,7,8,13,14],[3,4,6,8,11,12,14],[3,4,7,9,10,12,14],[3,5,6,8,10,12,13],[4,5,6,8,9,10,11]]; G[9510]:=Group([(2,3)(4,5)(8,9)(10,11)(12,13)]); # Design 9511: autom. group order 2, simple B[9511]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,4,6,10,12,14],[1,2,4,8,11,12,14],[1,3,5,6,11,13,14],[1,3,5,9,10,13,14],[1,4,5,10,11,12,13],[1,4,7,9,11,13,14],[1,5,7,8,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,7,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,7,8,11,13],[2,4,6,9,10,13,14],[2,5,6,7,9,12,14],[2,5,6,9,11,12,13],[2,5,7,8,10,13,14],[3,4,5,7,9,10,12],[3,4,6,7,8,13,14],[3,4,6,8,10,12,13],[3,4,7,9,11,12,14],[3,5,6,8,11,12,14],[4,5,6,8,9,10,11]]; G[9511]:=Group([(2,3)(4,5)(8,9)(10,11)(12,13)]); # Design 9512: autom. group order 2, simple B[9512]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,4,6,10,12,14],[1,2,4,8,10,13,14],[1,3,5,6,11,13,14],[1,3,5,9,11,12,14],[1,4,5,10,11,12,13],[1,4,7,9,11,13,14],[1,5,7,8,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,7,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,7,8,11,12],[2,4,6,9,11,12,13],[2,5,6,7,9,12,14],[2,5,6,8,11,13,14],[2,5,7,9,10,13,14],[3,4,5,7,9,10,13],[3,4,6,7,8,13,14],[3,4,6,9,10,12,14],[3,4,7,8,11,12,14],[3,5,6,8,10,12,13],[4,5,6,8,9,10,11]]; G[9512]:=Group([(2,3)(4,5)(8,9)(10,11)(12,13)]); # Design 9513: autom. group order 2, simple B[9513]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,4,6,10,12,14],[1,2,4,8,11,12,14],[1,3,5,6,11,13,14],[1,3,5,9,10,13,14],[1,4,5,10,11,12,13],[1,4,7,9,10,13,14],[1,5,7,8,11,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,7,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,7,8,10,13],[2,4,6,9,11,13,14],[2,5,6,7,8,13,14],[2,5,6,9,11,12,13],[2,5,7,9,10,12,14],[3,4,5,7,9,11,12],[3,4,6,7,9,12,14],[3,4,6,8,10,12,13],[3,4,7,8,11,13,14],[3,5,6,8,10,12,14],[4,5,6,8,9,10,11]]; G[9513]:=Group([(2,3)(4,5)(8,9)(10,11)(12,13)]); # Design 9514: autom. group order 2, simple B[9514]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,4,6,10,12,14],[1,2,4,8,11,13,14],[1,3,5,6,11,13,14],[1,3,5,9,10,12,14],[1,4,5,10,11,12,13],[1,4,7,9,10,13,14],[1,5,7,8,11,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,7,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,7,8,10,12],[2,4,6,9,11,12,13],[2,5,6,7,8,13,14],[2,5,6,9,11,12,14],[2,5,7,9,10,13,14],[3,4,5,7,9,11,13],[3,4,6,7,9,12,14],[3,4,6,8,10,13,14],[3,4,7,8,11,12,14],[3,5,6,8,10,12,13],[4,5,6,8,9,10,11]]; G[9514]:=Group([(2,3)(4,5)(8,9)(10,11)(12,13)]); # Design 9515: autom. group order 2, simple B[9515]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,4,6,10,12,14],[1,2,4,8,10,13,14],[1,3,5,6,11,13,14],[1,3,5,9,11,12,14],[1,4,5,10,11,12,13],[1,4,7,8,11,12,14],[1,5,7,9,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,7,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,11,12],[2,4,6,9,11,13,14],[2,5,6,7,8,12,14],[2,5,6,9,10,12,13],[2,5,7,8,11,13,14],[3,4,5,7,8,10,13],[3,4,6,7,9,13,14],[3,4,6,8,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,10,12,14],[4,5,6,8,9,10,11]]; G[9515]:=Group([(2,3)(4,5)(8,9)(10,11)(12,13)]); # Design 9516: autom. group order 2, simple B[9516]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,4,6,10,12,14],[1,2,4,8,10,13,14],[1,3,5,6,11,13,14],[1,3,5,9,11,12,14],[1,4,5,10,11,12,13],[1,4,7,8,11,12,14],[1,5,7,9,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,7,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,11,13],[2,4,6,9,11,12,13],[2,5,6,7,8,13,14],[2,5,6,9,10,12,14],[2,5,7,8,11,12,14],[3,4,5,7,8,10,12],[3,4,6,7,9,12,14],[3,4,6,8,11,13,14],[3,4,7,9,10,13,14],[3,5,6,8,10,12,13],[4,5,6,8,9,10,11]]; G[9516]:=Group([(2,3)(4,5)(8,9)(10,11)(12,13)]); # Design 9517: autom. group order 2, simple B[9517]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,4,6,10,12,14],[1,2,4,8,11,13,14],[1,3,5,6,11,13,14],[1,3,5,9,10,12,14],[1,4,5,10,11,12,13],[1,4,7,8,11,12,14],[1,5,7,9,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,7,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,11,12],[2,4,6,9,10,13,14],[2,5,6,7,8,13,14],[2,5,6,9,11,12,13],[2,5,7,8,10,12,14],[3,4,5,7,8,10,13],[3,4,6,7,9,12,14],[3,4,6,8,10,12,13],[3,4,7,9,11,13,14],[3,5,6,8,11,12,14],[4,5,6,8,9,10,11]]; G[9517]:=Group([(2,3)(4,5)(8,9)(10,11)(12,13)]); # Design 9518: autom. group order 2, simple B[9518]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,4,6,10,12,14],[1,2,4,8,10,13,14],[1,3,5,6,11,13,14],[1,3,5,9,11,12,14],[1,4,5,10,11,12,13],[1,4,7,8,11,12,14],[1,5,7,9,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,7,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,11,13],[2,4,6,9,11,12,13],[2,5,6,7,8,13,14],[2,5,6,8,11,12,14],[2,5,7,9,10,12,14],[3,4,5,7,8,10,12],[3,4,6,7,9,12,14],[3,4,6,9,10,13,14],[3,4,7,8,11,13,14],[3,5,6,8,10,12,13],[4,5,6,8,9,10,11]]; G[9518]:=Group([(2,3)(4,5)(8,9)(10,11)(12,13)]); # Design 9519: autom. group order 2, simple B[9519]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,4,6,10,12,14],[1,2,4,8,11,13,14],[1,3,5,6,11,13,14],[1,3,5,9,10,12,14],[1,4,5,10,11,12,13],[1,4,7,8,11,12,14],[1,5,7,9,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,7,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,11,13],[2,4,6,9,10,12,13],[2,5,6,7,8,12,14],[2,5,6,8,10,13,14],[2,5,7,9,11,12,14],[3,4,5,7,8,10,12],[3,4,6,7,9,13,14],[3,4,6,9,11,12,14],[3,4,7,8,10,13,14],[3,5,6,8,11,12,13],[4,5,6,8,9,10,11]]; G[9519]:=Group([(2,3)(4,5)(8,9)(10,11)(12,13)]); # Design 9520: autom. group order 2, simple B[9520]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,11,13],[1,2,4,9,12,13,14],[1,3,5,6,9,12,14],[1,3,5,8,11,13,14],[1,4,5,7,10,11,12],[1,4,7,9,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,11,12],[1,6,8,9,10,13,14],[2,3,7,11,12,13,14],[2,3,8,9,10,11,12],[2,4,5,9,10,11,14],[2,4,6,7,8,10,14],[2,5,6,7,9,11,13],[2,5,6,8,10,12,13],[2,5,7,8,9,12,14],[3,4,5,8,10,12,13],[3,4,6,7,8,12,14],[3,4,6,9,10,11,14],[3,4,7,8,9,11,13],[3,5,6,7,9,10,13],[4,5,6,11,12,13,14]]; G[9520]:=Group([(2,3)(4,5)(8,9)(11,12)(13,14)]); # Design 9521: autom. group order 2, simple B[9521]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,11,13],[1,2,4,9,11,13,14],[1,3,5,6,9,12,14],[1,3,5,8,12,13,14],[1,4,5,7,10,11,12],[1,4,7,9,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,11,12],[1,6,8,9,10,13,14],[2,3,7,11,12,13,14],[2,3,8,9,10,11,12],[2,4,5,9,10,12,14],[2,4,6,7,8,12,14],[2,5,6,7,9,10,13],[2,5,6,8,10,12,13],[2,5,7,8,9,11,14],[3,4,5,8,10,11,13],[3,4,6,7,8,10,14],[3,4,6,9,10,11,14],[3,4,7,8,9,12,13],[3,5,6,7,9,11,13],[4,5,6,11,12,13,14]]; G[9521]:=Group([(2,3)(4,5)(8,9)(11,12)(13,14)]); # Design 9522: autom. group order 2, simple B[9522]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,11,13],[1,2,4,9,12,13,14],[1,3,5,6,9,12,14],[1,3,5,8,11,13,14],[1,4,5,7,10,11,12],[1,4,7,9,10,11,14],[1,5,7,8,10,12,13],[1,6,7,8,9,11,12],[1,6,8,9,10,13,14],[2,3,7,11,12,13,14],[2,3,8,9,10,11,12],[2,4,5,9,10,11,13],[2,4,6,7,8,12,14],[2,5,6,7,9,10,14],[2,5,6,8,10,11,14],[2,5,7,8,9,12,13],[3,4,5,8,10,12,14],[3,4,6,7,8,10,13],[3,4,6,9,10,12,13],[3,4,7,8,9,11,14],[3,5,6,7,9,11,13],[4,5,6,11,12,13,14]]; G[9522]:=Group([(2,3)(4,5)(8,9)(11,12)(13,14)]); # Design 9523: autom. group order 2, simple B[9523]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,11,13],[1,2,4,9,11,13,14],[1,3,5,6,9,12,14],[1,3,5,8,12,13,14],[1,4,5,7,10,11,12],[1,4,7,9,10,12,14],[1,5,7,8,10,11,13],[1,6,7,8,9,11,12],[1,6,8,9,10,13,14],[2,3,7,11,12,13,14],[2,3,8,9,10,11,12],[2,4,5,9,10,12,13],[2,4,6,7,8,12,14],[2,5,6,7,8,10,14],[2,5,6,9,10,11,14],[2,5,7,8,9,12,13],[3,4,5,8,10,11,14],[3,4,6,7,9,10,13],[3,4,6,8,10,12,13],[3,4,7,8,9,11,14],[3,5,6,7,9,11,13],[4,5,6,11,12,13,14]]; G[9523]:=Group([(2,3)(4,5)(8,9)(11,12)(13,14)]); # Design 9524: autom. group order 2, simple B[9524]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,11,13],[1,2,4,9,12,13,14],[1,3,5,6,9,12,14],[1,3,5,8,11,13,14],[1,4,5,7,10,11,12],[1,4,7,9,10,11,13],[1,5,7,8,10,12,14],[1,6,7,8,9,11,12],[1,6,8,9,10,13,14],[2,3,7,11,12,13,14],[2,3,8,9,10,11,12],[2,4,5,9,10,11,14],[2,4,6,7,8,12,14],[2,5,6,7,8,10,13],[2,5,6,9,10,12,13],[2,5,7,8,9,11,14],[3,4,5,8,10,12,13],[3,4,6,7,9,10,14],[3,4,6,8,10,11,14],[3,4,7,8,9,12,13],[3,5,6,7,9,11,13],[4,5,6,11,12,13,14]]; G[9524]:=Group([(2,3)(4,5)(8,9)(11,12)(13,14)]); # Design 9525: autom. group order 2, simple, residual B[9525]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,11,13],[1,2,4,9,10,12,13],[1,3,5,6,9,12,14],[1,3,5,8,10,11,14],[1,4,5,11,12,13,14],[1,4,7,9,10,12,14],[1,5,7,8,10,11,13],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,7,8,9,11,12],[2,3,7,11,12,13,14],[2,4,5,7,9,11,14],[2,4,6,7,8,10,14],[2,5,6,8,10,12,14],[2,5,6,9,11,13,14],[2,5,8,9,10,12,13],[3,4,5,7,8,12,13],[3,4,6,8,12,13,14],[3,4,6,9,10,11,13],[3,4,8,9,10,11,14],[3,5,6,7,9,10,13],[4,5,6,7,10,11,12]]; G[9525]:=Group([(2,3)(4,5)(8,9)(11,12)(13,14)]); # Design 9526: autom. group order 2, simple, residual B[9526]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,11,13],[1,2,4,9,10,12,13],[1,3,5,6,9,12,14],[1,3,5,8,10,11,14],[1,4,5,11,12,13,14],[1,4,7,9,10,11,14],[1,5,7,8,10,12,13],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,7,8,9,11,12],[2,3,7,11,12,13,14],[2,4,5,7,9,12,14],[2,4,6,7,8,10,14],[2,5,6,8,12,13,14],[2,5,6,9,10,11,13],[2,5,8,9,10,11,14],[3,4,5,7,8,11,13],[3,4,6,8,10,12,14],[3,4,6,9,11,13,14],[3,4,8,9,10,12,13],[3,5,6,7,9,10,13],[4,5,6,7,10,11,12]]; G[9526]:=Group([(2,3)(4,5)(8,9)(11,12)(13,14)]); # Design 9527: autom. group order 2, simple, residual B[9527]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,11,13],[1,2,4,9,10,12,14],[1,3,5,6,9,12,14],[1,3,5,8,10,11,13],[1,4,5,11,12,13,14],[1,4,7,9,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,7,8,9,11,12],[2,3,7,11,12,13,14],[2,4,5,7,9,11,13],[2,4,6,7,8,10,14],[2,5,6,8,12,13,14],[2,5,6,9,10,11,14],[2,5,8,9,10,12,13],[3,4,5,7,8,12,14],[3,4,6,8,10,12,13],[3,4,6,9,11,13,14],[3,4,8,9,10,11,14],[3,5,6,7,9,10,13],[4,5,6,7,10,11,12]]; G[9527]:=Group([(2,3)(4,5)(8,9)(11,12)(13,14)]); # Design 9528: autom. group order 2, simple, residual B[9528]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,11,13],[1,2,4,9,10,12,14],[1,3,5,6,9,12,14],[1,3,5,8,10,11,13],[1,4,5,11,12,13,14],[1,4,7,8,10,11,14],[1,5,7,9,10,12,13],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,7,8,9,11,12],[2,3,7,11,12,13,14],[2,4,5,7,8,12,14],[2,4,6,7,9,10,13],[2,5,6,8,10,12,13],[2,5,6,9,11,13,14],[2,5,8,9,10,11,14],[3,4,5,7,9,11,13],[3,4,6,8,12,13,14],[3,4,6,9,10,11,14],[3,4,8,9,10,12,13],[3,5,6,7,8,10,14],[4,5,6,7,10,11,12]]; G[9528]:=Group([(2,3)(4,5)(8,9)(11,12)(13,14)]); # Design 9529: autom. group order 2, simple, residual B[9529]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,11,13],[1,2,4,9,10,11,14],[1,3,5,6,9,12,14],[1,3,5,8,10,12,13],[1,4,5,11,12,13,14],[1,4,7,9,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,7,8,9,11,12],[2,3,7,11,12,13,14],[2,4,5,7,9,12,13],[2,4,6,8,10,12,14],[2,5,6,7,9,10,14],[2,5,6,8,12,13,14],[2,5,8,9,10,11,13],[3,4,5,7,8,11,14],[3,4,6,7,8,10,13],[3,4,6,9,11,13,14],[3,4,8,9,10,12,14],[3,5,6,9,10,11,13],[4,5,6,7,10,11,12]]; G[9529]:=Group([(2,3)(4,5)(8,9)(11,12)(13,14)]); # Design 9530: autom. group order 2, simple, residual B[9530]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,11,13],[1,2,4,9,10,12,13],[1,3,5,6,9,12,14],[1,3,5,8,10,11,14],[1,4,5,11,12,13,14],[1,4,7,9,10,11,14],[1,5,7,8,10,12,13],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,7,8,9,11,12],[2,3,7,11,12,13,14],[2,4,5,7,9,11,14],[2,4,6,8,10,12,14],[2,5,6,7,9,10,13],[2,5,6,8,11,13,14],[2,5,8,9,10,12,14],[3,4,5,7,8,12,13],[3,4,6,7,8,10,14],[3,4,6,9,12,13,14],[3,4,8,9,10,11,13],[3,5,6,9,10,11,13],[4,5,6,7,10,11,12]]; G[9530]:=Group([(2,3)(4,5)(8,9)(11,12)(13,14)]); # Design 9531: autom. group order 2, simple, residual B[9531]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,11,13],[1,2,4,9,10,11,14],[1,3,5,6,9,12,14],[1,3,5,8,10,12,13],[1,4,5,11,12,13,14],[1,4,7,9,10,12,14],[1,5,7,8,10,11,13],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,7,8,9,11,12],[2,3,7,11,12,13,14],[2,4,5,7,9,12,13],[2,4,6,8,12,13,14],[2,5,6,7,9,10,13],[2,5,6,8,10,12,14],[2,5,8,9,10,11,14],[3,4,5,7,8,11,14],[3,4,6,7,8,10,14],[3,4,6,9,10,11,13],[3,4,8,9,10,12,13],[3,5,6,9,11,13,14],[4,5,6,7,10,11,12]]; G[9531]:=Group([(2,3)(4,5)(8,9)(11,12)(13,14)]); # Design 9532: autom. group order 2, simple, residual B[9532]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,11,13],[1,2,4,9,10,11,14],[1,3,5,6,9,12,14],[1,3,5,8,10,12,13],[1,4,5,11,12,13,14],[1,4,7,9,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,7,8,9,11,12],[2,3,7,11,12,13,14],[2,4,5,7,9,12,13],[2,4,6,8,10,12,14],[2,5,6,7,8,10,13],[2,5,6,9,11,13,14],[2,5,8,9,10,12,14],[3,4,5,7,8,11,14],[3,4,6,7,9,10,14],[3,4,6,8,12,13,14],[3,4,8,9,10,11,13],[3,5,6,9,10,11,13],[4,5,6,7,10,11,12]]; G[9532]:=Group([(2,3)(4,5)(8,9)(11,12)(13,14)]); # Design 9533: autom. group order 2, simple, residual B[9533]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,11,13],[1,2,4,9,10,12,13],[1,3,5,6,9,12,14],[1,3,5,8,10,11,14],[1,4,5,11,12,13,14],[1,4,7,9,10,11,14],[1,5,7,8,10,12,13],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,7,8,9,11,12],[2,3,7,11,12,13,14],[2,4,5,7,9,11,14],[2,4,6,8,10,12,14],[2,5,6,7,8,10,14],[2,5,6,9,12,13,14],[2,5,8,9,10,11,13],[3,4,5,7,8,12,13],[3,4,6,7,9,10,13],[3,4,6,8,11,13,14],[3,4,8,9,10,12,14],[3,5,6,9,10,11,13],[4,5,6,7,10,11,12]]; G[9533]:=Group([(2,3)(4,5)(8,9)(11,12)(13,14)]); # Design 9534: autom. group order 2, simple, residual B[9534]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,11,13],[1,2,4,9,10,11,14],[1,3,5,6,9,12,14],[1,3,5,8,10,12,13],[1,4,5,11,12,13,14],[1,4,7,9,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,7,8,9,11,12],[2,3,7,11,12,13,14],[2,4,5,7,9,12,14],[2,4,6,8,12,13,14],[2,5,6,7,8,10,14],[2,5,6,9,10,11,13],[2,5,8,9,10,12,13],[3,4,5,7,8,11,13],[3,4,6,7,9,10,13],[3,4,6,8,10,12,14],[3,4,8,9,10,11,14],[3,5,6,9,11,13,14],[4,5,6,7,10,11,12]]; G[9534]:=Group([(2,3)(4,5)(8,9)(11,12)(13,14)]); # Design 9535: autom. group order 2, simple, residual B[9535]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,11,13],[1,2,4,9,10,12,14],[1,3,5,6,9,12,14],[1,3,5,8,10,11,13],[1,4,5,11,12,13,14],[1,4,7,9,10,11,14],[1,5,7,8,10,12,13],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,7,8,9,11,12],[2,3,7,11,12,13,14],[2,4,5,7,9,11,13],[2,4,6,8,12,13,14],[2,5,6,7,8,10,14],[2,5,6,9,10,12,13],[2,5,8,9,10,11,14],[3,4,5,7,8,12,14],[3,4,6,7,9,10,13],[3,4,6,8,10,11,14],[3,4,8,9,10,12,13],[3,5,6,9,11,13,14],[4,5,6,7,10,11,12]]; G[9535]:=Group([(2,3)(4,5)(8,9)(11,12)(13,14)]); # Design 9536: autom. group order 2, simple, residual B[9536]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,11,13],[1,2,4,9,10,11,14],[1,3,5,6,9,12,14],[1,3,5,8,10,12,13],[1,4,5,11,12,13,14],[1,4,7,8,10,12,14],[1,5,7,9,10,11,13],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,7,8,9,11,12],[2,3,7,11,12,13,14],[2,4,5,7,8,12,14],[2,4,6,9,10,12,13],[2,5,6,7,9,10,14],[2,5,6,8,11,13,14],[2,5,8,9,10,12,13],[3,4,5,7,9,11,13],[3,4,6,7,8,10,13],[3,4,6,9,12,13,14],[3,4,8,9,10,11,14],[3,5,6,8,10,11,14],[4,5,6,7,10,11,12]]; G[9536]:=Group([(2,3)(4,5)(8,9)(11,12)(13,14)]); # Design 9537: autom. group order 2, simple, residual B[9537]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,11,13],[1,2,4,9,10,11,14],[1,3,5,6,9,12,14],[1,3,5,8,10,12,13],[1,4,5,11,12,13,14],[1,4,7,8,10,12,14],[1,5,7,9,10,11,13],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,7,8,9,11,12],[2,3,7,11,12,13,14],[2,4,5,7,8,12,13],[2,4,6,9,12,13,14],[2,5,6,7,9,10,13],[2,5,6,8,10,11,14],[2,5,8,9,10,12,14],[3,4,5,7,9,11,14],[3,4,6,7,8,10,14],[3,4,6,9,10,12,13],[3,4,8,9,10,11,13],[3,5,6,8,11,13,14],[4,5,6,7,10,11,12]]; G[9537]:=Group([(2,3)(4,5)(8,9)(11,12)(13,14)]); # Design 9538: autom. group order 2, simple, residual B[9538]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,11,13],[1,2,4,9,10,12,14],[1,3,5,6,9,12,14],[1,3,5,8,10,11,13],[1,4,5,11,12,13,14],[1,4,7,8,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,7,8,9,11,12],[2,3,7,11,12,13,14],[2,4,5,7,8,12,14],[2,4,6,9,11,13,14],[2,5,6,7,9,10,13],[2,5,6,8,10,11,14],[2,5,8,9,10,12,13],[3,4,5,7,9,11,13],[3,4,6,7,8,10,14],[3,4,6,9,10,12,13],[3,4,8,9,10,11,14],[3,5,6,8,12,13,14],[4,5,6,7,10,11,12]]; G[9538]:=Group([(2,3)(4,5)(8,9)(11,12)(13,14)]); # Design 9539: autom. group order 2, simple, residual B[9539]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,11,13],[1,2,4,9,10,11,14],[1,3,5,6,9,12,14],[1,3,5,8,10,12,13],[1,4,5,11,12,13,14],[1,4,7,8,10,12,14],[1,5,7,9,10,11,13],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,7,8,9,11,12],[2,3,7,11,12,13,14],[2,4,5,7,8,12,14],[2,4,6,9,10,12,13],[2,5,6,7,8,10,13],[2,5,6,9,12,13,14],[2,5,8,9,10,11,14],[3,4,5,7,9,11,13],[3,4,6,7,9,10,14],[3,4,6,8,11,13,14],[3,4,8,9,10,12,13],[3,5,6,8,10,11,14],[4,5,6,7,10,11,12]]; G[9539]:=Group([(2,3)(4,5)(8,9)(11,12)(13,14)]); # Design 9540: autom. group order 2, simple, residual B[9540]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,11,13],[1,2,4,9,10,11,14],[1,3,5,6,9,12,14],[1,3,5,8,10,12,13],[1,4,5,11,12,13,14],[1,4,7,8,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,7,8,9,11,12],[2,3,7,11,12,13,14],[2,4,5,7,8,12,14],[2,4,6,9,12,13,14],[2,5,6,7,8,10,14],[2,5,6,9,10,12,13],[2,5,8,9,10,11,13],[3,4,5,7,9,11,13],[3,4,6,7,9,10,13],[3,4,6,8,10,11,14],[3,4,8,9,10,12,14],[3,5,6,8,11,13,14],[4,5,6,7,10,11,12]]; G[9540]:=Group([(2,3)(4,5)(8,9)(11,12)(13,14)]); # Design 9541: autom. group order 2, simple, residual B[9541]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,6,8,12,13],[1,2,4,7,9,10,13],[1,3,5,6,9,12,14],[1,3,5,7,8,11,14],[1,4,5,10,11,13,14],[1,4,7,9,11,12,14],[1,5,7,8,10,12,13],[1,6,7,8,9,13,14],[1,6,8,9,10,11,12],[2,3,7,8,9,10,11],[2,3,8,9,12,13,14],[2,4,5,9,10,12,14],[2,4,6,7,8,11,14],[2,5,6,7,11,12,13],[2,5,6,9,11,13,14],[2,5,7,8,10,12,14],[3,4,5,8,11,12,13],[3,4,6,7,10,12,14],[3,4,6,8,10,13,14],[3,4,7,9,11,12,13],[3,5,6,7,9,10,13],[4,5,6,8,9,10,11]]; G[9541]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9542: autom. group order 2, simple, residual B[9542]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,6,8,12,13],[1,2,4,7,9,10,13],[1,3,5,6,9,12,14],[1,3,5,7,8,11,14],[1,4,5,10,11,13,14],[1,4,7,9,10,12,14],[1,5,7,8,11,12,13],[1,6,7,8,9,13,14],[1,6,8,9,10,11,12],[2,3,7,8,9,10,11],[2,3,8,9,12,13,14],[2,4,5,9,11,12,14],[2,4,6,7,8,11,14],[2,5,6,7,10,12,14],[2,5,6,8,10,13,14],[2,5,7,9,11,12,13],[3,4,5,8,10,12,13],[3,4,6,7,11,12,13],[3,4,6,9,11,13,14],[3,4,7,8,10,12,14],[3,5,6,7,9,10,13],[4,5,6,8,9,10,11]]; G[9542]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9543: autom. group order 2, simple, residual B[9543]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,6,8,12,13],[1,2,4,7,9,10,14],[1,3,5,6,9,12,14],[1,3,5,7,8,11,13],[1,4,5,10,11,13,14],[1,4,7,9,11,12,13],[1,5,7,8,10,12,14],[1,6,7,8,9,13,14],[1,6,8,9,10,11,12],[2,3,7,8,9,10,11],[2,3,8,9,12,13,14],[2,4,5,9,10,12,13],[2,4,6,7,8,11,14],[2,5,6,7,11,12,13],[2,5,6,8,10,13,14],[2,5,7,9,11,12,14],[3,4,5,8,11,12,14],[3,4,6,7,10,12,14],[3,4,6,9,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,13],[4,5,6,8,9,10,11]]; G[9543]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9544: autom. group order 2, simple B[9544]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,6,8,12,13],[1,2,4,7,9,10,14],[1,3,5,6,9,12,14],[1,3,5,7,8,11,13],[1,4,5,10,11,13,14],[1,4,7,9,11,12,13],[1,5,7,8,10,12,14],[1,6,7,8,9,10,11],[1,6,8,9,12,13,14],[2,3,7,8,9,13,14],[2,3,8,9,10,11,12],[2,4,5,8,10,12,13],[2,4,6,7,11,12,14],[2,5,6,7,9,11,13],[2,5,6,9,10,13,14],[2,5,7,8,11,12,14],[3,4,5,9,11,12,14],[3,4,6,7,8,10,14],[3,4,6,8,11,13,14],[3,4,7,9,10,12,13],[3,5,6,7,10,12,13],[4,5,6,8,9,10,11]]; G[9544]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9545: autom. group order 2, simple B[9545]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,6,8,12,13],[1,2,4,7,9,10,14],[1,3,5,6,9,12,14],[1,3,5,7,8,11,13],[1,4,5,10,11,13,14],[1,4,7,9,11,12,13],[1,5,7,8,10,12,14],[1,6,7,8,9,10,11],[1,6,8,9,12,13,14],[2,3,7,8,9,13,14],[2,3,8,9,10,11,12],[2,4,5,8,10,12,13],[2,4,6,7,11,12,14],[2,5,6,7,8,11,14],[2,5,6,9,10,13,14],[2,5,7,9,11,12,13],[3,4,5,9,11,12,14],[3,4,6,7,9,10,13],[3,4,6,8,11,13,14],[3,4,7,8,10,12,14],[3,5,6,7,10,12,13],[4,5,6,8,9,10,11]]; G[9545]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9546: autom. group order 2, simple B[9546]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,6,8,12,13],[1,2,4,7,9,10,13],[1,3,5,6,9,12,14],[1,3,5,7,8,11,14],[1,4,5,10,11,13,14],[1,4,7,8,10,12,14],[1,5,7,9,11,12,13],[1,6,7,8,9,10,11],[1,6,8,9,12,13,14],[2,3,7,8,9,13,14],[2,3,8,9,10,11,12],[2,4,5,9,11,12,14],[2,4,6,7,11,12,14],[2,5,6,7,8,11,13],[2,5,6,9,10,13,14],[2,5,7,8,10,12,14],[3,4,5,8,10,12,13],[3,4,6,7,9,10,14],[3,4,6,8,11,13,14],[3,4,7,9,11,12,13],[3,5,6,7,10,12,13],[4,5,6,8,9,10,11]]; G[9546]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9547: autom. group order 2, simple B[9547]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,9,10,13],[1,2,4,6,11,13,14],[1,2,4,7,8,11,14],[1,3,5,6,12,13,14],[1,3,5,7,9,12,14],[1,4,5,10,11,12,13],[1,4,7,9,10,12,13],[1,5,7,8,10,11,13],[1,6,7,8,9,10,14],[1,6,8,9,11,12,14],[2,3,7,10,11,12,14],[2,3,8,9,11,12,13],[2,4,5,8,10,12,14],[2,4,6,7,9,10,12],[2,5,6,7,9,11,13],[2,5,6,9,10,13,14],[2,5,7,8,12,13,14],[3,4,5,9,10,11,14],[3,4,6,7,8,12,13],[3,4,6,8,10,13,14],[3,4,7,9,11,13,14],[3,5,6,7,8,10,11],[4,5,6,8,9,11,12]]; G[9547]:=Group([(2,3)(4,5)(8,9)(11,12)]); # Design 9548: autom. group order 2, simple B[9548]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,9,10,13],[1,2,4,6,11,13,14],[1,2,4,7,8,11,14],[1,3,5,6,12,13,14],[1,3,5,7,9,12,14],[1,4,5,10,11,12,13],[1,4,7,9,10,12,13],[1,5,7,8,10,11,13],[1,6,7,8,9,10,14],[1,6,8,9,11,12,14],[2,3,7,10,11,12,14],[2,3,8,9,11,12,13],[2,4,5,8,10,12,14],[2,4,6,7,9,12,13],[2,5,6,7,9,10,11],[2,5,6,9,10,13,14],[2,5,7,8,12,13,14],[3,4,5,9,10,11,14],[3,4,6,7,8,10,12],[3,4,6,8,10,13,14],[3,4,7,9,11,13,14],[3,5,6,7,8,11,13],[4,5,6,8,9,11,12]]; G[9548]:=Group([(2,3)(4,5)(8,9)(11,12)]); # Design 9549: autom. group order 2, simple B[9549]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,9,10,13],[1,2,4,6,11,13,14],[1,2,4,7,8,12,14],[1,3,5,6,12,13,14],[1,3,5,7,9,11,14],[1,4,5,10,11,12,13],[1,4,7,9,10,12,13],[1,5,7,8,10,11,13],[1,6,7,8,9,10,14],[1,6,8,9,11,12,14],[2,3,7,10,11,12,14],[2,3,8,9,11,12,13],[2,4,5,8,10,12,14],[2,4,6,7,9,11,13],[2,5,6,7,9,10,12],[2,5,6,9,10,13,14],[2,5,7,8,11,13,14],[3,4,5,9,10,11,14],[3,4,6,7,8,10,11],[3,4,6,8,10,13,14],[3,4,7,9,12,13,14],[3,5,6,7,8,12,13],[4,5,6,8,9,11,12]]; G[9549]:=Group([(2,3)(4,5)(8,9)(11,12)]); # Design 9550: autom. group order 2, simple B[9550]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,9,10,13],[1,2,4,6,11,13,14],[1,2,4,7,8,12,14],[1,3,5,6,12,13,14],[1,3,5,7,9,11,14],[1,4,5,10,11,12,13],[1,4,7,9,10,11,13],[1,5,7,8,10,12,13],[1,6,7,8,9,10,14],[1,6,8,9,11,12,14],[2,3,7,10,11,12,14],[2,3,8,9,11,12,13],[2,4,5,8,10,11,14],[2,4,6,7,9,12,13],[2,5,6,7,9,10,12],[2,5,6,8,10,13,14],[2,5,7,9,11,13,14],[3,4,5,9,10,12,14],[3,4,6,7,8,10,11],[3,4,6,9,10,13,14],[3,4,7,8,12,13,14],[3,5,6,7,8,11,13],[4,5,6,8,9,11,12]]; G[9550]:=Group([(2,3)(4,5)(8,9)(11,12)]); # Design 9551: autom. group order 2, simple B[9551]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,9,13,14],[1,2,4,6,10,11,13],[1,2,4,7,8,12,14],[1,3,5,6,10,12,14],[1,3,5,7,9,11,13],[1,4,5,11,12,13,14],[1,4,7,9,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,11,12],[1,6,8,9,10,13,14],[2,3,7,11,12,13,14],[2,3,8,9,10,11,12],[2,4,5,8,10,11,13],[2,4,6,7,9,10,14],[2,5,6,7,9,11,14],[2,5,6,8,12,13,14],[2,5,7,9,10,12,13],[3,4,5,9,10,12,14],[3,4,6,7,8,12,13],[3,4,6,9,11,13,14],[3,4,7,8,10,11,14],[3,5,6,7,8,10,13],[4,5,6,8,9,11,12]]; G[9551]:=Group([(2,3)(4,5)(8,9)(11,12)(13,14)]); # Design 9552: autom. group order 2, simple B[9552]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,9,10,13],[1,2,4,6,11,13,14],[1,2,4,7,8,12,14],[1,3,5,6,12,13,14],[1,3,5,7,9,11,14],[1,4,5,10,11,12,13],[1,4,7,8,10,12,13],[1,5,7,9,10,11,13],[1,6,7,8,9,10,14],[1,6,8,9,11,12,14],[2,3,7,10,11,12,14],[2,3,8,9,11,12,13],[2,4,5,9,10,12,14],[2,4,6,7,9,10,11],[2,5,6,7,9,12,13],[2,5,6,8,10,13,14],[2,5,7,8,11,13,14],[3,4,5,8,10,11,14],[3,4,6,7,8,11,13],[3,4,6,9,10,13,14],[3,4,7,9,12,13,14],[3,5,6,7,8,10,12],[4,5,6,8,9,11,12]]; G[9552]:=Group([(2,3)(4,5)(8,9)(11,12)]); # Design 9553: autom. group order 2, simple B[9553]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,9,10,13],[1,2,4,6,11,13,14],[1,2,4,7,8,11,14],[1,3,5,6,12,13,14],[1,3,5,7,9,12,14],[1,4,5,10,11,12,13],[1,4,7,8,10,12,13],[1,5,7,9,10,11,13],[1,6,7,8,9,10,14],[1,6,8,9,11,12,14],[2,3,7,10,11,12,14],[2,3,8,9,11,12,13],[2,4,5,9,10,12,14],[2,4,6,7,9,12,13],[2,5,6,7,9,10,11],[2,5,6,8,10,13,14],[2,5,7,8,12,13,14],[3,4,5,8,10,11,14],[3,4,6,7,8,10,12],[3,4,6,9,10,13,14],[3,4,7,9,11,13,14],[3,5,6,7,8,11,13],[4,5,6,8,9,11,12]]; G[9553]:=Group([(2,3)(4,5)(8,9)(11,12)]); # Design 9554: autom. group order 2, simple B[9554]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,9,10,13],[1,2,4,6,11,13,14],[1,2,4,7,8,12,14],[1,3,5,6,12,13,14],[1,3,5,7,9,11,14],[1,4,5,10,11,12,13],[1,4,7,8,10,12,13],[1,5,7,9,10,11,13],[1,6,7,8,9,10,14],[1,6,8,9,11,12,14],[2,3,7,10,11,12,14],[2,3,8,9,11,12,13],[2,4,5,9,10,12,14],[2,4,6,7,9,11,13],[2,5,6,7,9,10,12],[2,5,6,8,10,13,14],[2,5,7,8,11,13,14],[3,4,5,8,10,11,14],[3,4,6,7,8,10,11],[3,4,6,9,10,13,14],[3,4,7,9,12,13,14],[3,5,6,7,8,12,13],[4,5,6,8,9,11,12]]; G[9554]:=Group([(2,3)(4,5)(8,9)(11,12)]); # Design 9555: autom. group order 2, simple B[9555]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,9,13,14],[1,2,4,6,10,11,13],[1,2,4,7,8,12,14],[1,3,5,6,10,12,14],[1,3,5,7,9,11,13],[1,4,5,11,12,13,14],[1,4,7,8,10,11,14],[1,5,7,9,10,12,13],[1,6,7,8,9,11,12],[1,6,8,9,10,13,14],[2,3,7,11,12,13,14],[2,3,8,9,10,11,12],[2,4,5,9,10,12,14],[2,4,6,7,9,10,13],[2,5,6,7,9,11,14],[2,5,6,8,11,13,14],[2,5,7,8,10,12,13],[3,4,5,8,10,11,13],[3,4,6,7,8,12,13],[3,4,6,9,12,13,14],[3,4,7,9,10,11,14],[3,5,6,7,8,10,14],[4,5,6,8,9,11,12]]; G[9555]:=Group([(2,3)(4,5)(8,9)(11,12)(13,14)]); # Design 9556: autom. group order 2, simple B[9556]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,9,13,14],[1,2,4,6,10,11,13],[1,2,4,7,8,12,13],[1,3,5,6,10,12,14],[1,3,5,7,9,11,14],[1,4,5,11,12,13,14],[1,4,7,8,10,11,14],[1,5,7,9,10,12,13],[1,6,7,8,9,11,12],[1,6,8,9,10,13,14],[2,3,7,11,12,13,14],[2,3,8,9,10,11,12],[2,4,5,9,10,12,14],[2,4,6,7,9,10,14],[2,5,6,7,9,11,13],[2,5,6,8,12,13,14],[2,5,7,8,10,11,14],[3,4,5,8,10,11,13],[3,4,6,7,8,12,14],[3,4,6,9,11,13,14],[3,4,7,9,10,12,13],[3,5,6,7,8,10,13],[4,5,6,8,9,11,12]]; G[9556]:=Group([(2,3)(4,5)(8,9)(11,12)(13,14)]); # Design 9557: autom. group order 2, simple B[9557]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,9,13,14],[1,2,4,6,10,11,13],[1,2,4,7,8,12,14],[1,3,5,6,10,12,14],[1,3,5,7,9,11,13],[1,4,5,11,12,13,14],[1,4,7,8,10,11,14],[1,5,7,9,10,12,13],[1,6,7,8,9,11,12],[1,6,8,9,10,13,14],[2,3,7,11,12,13,14],[2,3,8,9,10,11,12],[2,4,5,9,10,12,14],[2,4,6,7,9,10,13],[2,5,6,7,8,12,13],[2,5,6,8,11,13,14],[2,5,7,9,10,11,14],[3,4,5,8,10,11,13],[3,4,6,7,9,11,14],[3,4,6,9,12,13,14],[3,4,7,8,10,12,13],[3,5,6,7,8,10,14],[4,5,6,8,9,11,12]]; G[9557]:=Group([(2,3)(4,5)(8,9)(11,12)(13,14)]); # Design 9558: autom. group order 2, simple, residual B[9558]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,12,13,14],[1,2,4,6,10,12,13],[1,2,4,7,10,12,14],[1,3,5,6,11,13,14],[1,3,5,7,11,12,14],[1,4,5,8,10,11,13],[1,4,7,8,9,11,12],[1,5,7,8,9,10,14],[1,6,7,9,10,11,13],[1,6,8,9,12,13,14],[2,3,7,9,10,11,13],[2,3,8,10,11,12,14],[2,4,5,9,11,13,14],[2,4,6,7,9,11,14],[2,5,6,7,8,12,13],[2,5,6,8,9,10,14],[2,5,7,8,11,12,13],[3,4,5,9,10,12,13],[3,4,6,7,8,13,14],[3,4,6,8,9,11,12],[3,4,7,8,10,13,14],[3,5,6,7,9,10,12],[4,5,6,10,11,12,14]]; G[9558]:=Group([(2,3)(4,5)(10,11)(12,14)]); # Design 9559: autom. group order 2, simple, residual B[9559]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,12,13,14],[1,2,4,6,10,12,13],[1,2,4,7,10,12,14],[1,3,5,6,11,13,14],[1,3,5,7,11,12,14],[1,4,5,8,10,11,13],[1,4,7,8,9,11,14],[1,5,7,8,9,10,12],[1,6,7,9,10,11,13],[1,6,8,9,12,13,14],[2,3,7,9,10,11,13],[2,3,8,10,11,12,14],[2,4,5,9,11,12,13],[2,4,6,7,9,11,14],[2,5,6,7,8,13,14],[2,5,6,8,9,10,14],[2,5,7,8,11,12,13],[3,4,5,9,10,13,14],[3,4,6,7,8,12,13],[3,4,6,8,9,11,12],[3,4,7,8,10,13,14],[3,5,6,7,9,10,12],[4,5,6,10,11,12,14]]; G[9559]:=Group([(2,3)(4,5)(10,11)(12,14)]); # Design 9560: autom. group order 2, simple, residual B[9560]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,12,13,14],[1,2,4,6,10,12,13],[1,2,4,7,10,12,14],[1,3,5,6,11,13,14],[1,3,5,7,11,12,14],[1,4,5,8,10,11,13],[1,4,7,8,9,11,12],[1,5,7,8,9,10,14],[1,6,7,9,10,11,13],[1,6,8,9,12,13,14],[2,3,7,9,10,11,13],[2,3,8,10,11,12,14],[2,4,5,9,11,13,14],[2,4,6,7,9,11,14],[2,5,6,7,8,12,13],[2,5,6,8,9,11,12],[2,5,7,8,10,13,14],[3,4,5,9,10,12,13],[3,4,6,7,8,13,14],[3,4,6,8,9,10,14],[3,4,7,8,11,12,13],[3,5,6,7,9,10,12],[4,5,6,10,11,12,14]]; G[9560]:=Group([(2,3)(4,5)(10,11)(12,14)]); # Design 9561: autom. group order 2, simple, residual B[9561]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,12,13,14],[1,2,4,6,10,12,13],[1,2,4,7,10,12,14],[1,3,5,6,11,13,14],[1,3,5,7,11,12,14],[1,4,5,8,10,11,13],[1,4,7,8,9,11,14],[1,5,7,8,9,10,12],[1,6,7,9,10,11,13],[1,6,8,9,12,13,14],[2,3,7,9,10,11,13],[2,3,8,10,11,12,14],[2,4,5,9,11,12,13],[2,4,6,7,9,11,14],[2,5,6,7,8,13,14],[2,5,6,8,9,11,12],[2,5,7,8,10,13,14],[3,4,5,9,10,13,14],[3,4,6,7,8,12,13],[3,4,6,8,9,10,14],[3,4,7,8,11,12,13],[3,5,6,7,9,10,12],[4,5,6,10,11,12,14]]; G[9561]:=Group([(2,3)(4,5)(10,11)(12,14)]); # Design 9562: autom. group order 2, simple, residual B[9562]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,12,13,14],[1,2,4,6,10,12,13],[1,2,4,7,11,12,14],[1,3,5,6,11,13,14],[1,3,5,7,10,12,14],[1,4,5,8,10,11,13],[1,4,7,8,9,10,12],[1,5,7,8,9,11,14],[1,6,7,9,10,11,13],[1,6,8,9,12,13,14],[2,3,7,9,10,11,13],[2,3,8,10,11,12,14],[2,4,5,9,10,13,14],[2,4,6,7,9,11,14],[2,5,6,7,8,12,13],[2,5,6,8,9,10,14],[2,5,7,8,11,12,13],[3,4,5,9,11,12,13],[3,4,6,7,8,13,14],[3,4,6,8,9,11,12],[3,4,7,8,10,13,14],[3,5,6,7,9,10,12],[4,5,6,10,11,12,14]]; G[9562]:=Group([(2,3)(4,5)(10,11)(12,14)]); # Design 9563: autom. group order 2, simple, residual B[9563]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,12,13,14],[1,2,4,6,10,12,13],[1,2,4,7,11,12,14],[1,3,5,6,11,13,14],[1,3,5,7,10,12,14],[1,4,5,8,10,11,13],[1,4,7,8,9,10,14],[1,5,7,8,9,11,12],[1,6,7,9,10,11,13],[1,6,8,9,12,13,14],[2,3,7,9,10,11,13],[2,3,8,10,11,12,14],[2,4,5,9,10,12,13],[2,4,6,7,9,11,14],[2,5,6,7,8,13,14],[2,5,6,8,9,10,14],[2,5,7,8,11,12,13],[3,4,5,9,11,13,14],[3,4,6,7,8,12,13],[3,4,6,8,9,11,12],[3,4,7,8,10,13,14],[3,5,6,7,9,10,12],[4,5,6,10,11,12,14]]; G[9563]:=Group([(2,3)(4,5)(10,11)(12,14)]); # Design 9564: autom. group order 2, simple, residual B[9564]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,12,13,14],[1,2,4,6,10,12,13],[1,2,4,7,11,12,14],[1,3,5,6,11,13,14],[1,3,5,7,10,12,14],[1,4,5,8,10,11,13],[1,4,7,8,9,10,12],[1,5,7,8,9,11,14],[1,6,7,9,10,11,13],[1,6,8,9,12,13,14],[2,3,7,9,10,11,13],[2,3,8,10,11,12,14],[2,4,5,9,10,13,14],[2,4,6,7,9,11,14],[2,5,6,7,8,12,13],[2,5,6,8,9,11,12],[2,5,7,8,10,13,14],[3,4,5,9,11,12,13],[3,4,6,7,8,13,14],[3,4,6,8,9,10,14],[3,4,7,8,11,12,13],[3,5,6,7,9,10,12],[4,5,6,10,11,12,14]]; G[9564]:=Group([(2,3)(4,5)(10,11)(12,14)]); # Design 9565: autom. group order 2, simple, residual B[9565]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,12,13,14],[1,2,4,6,10,12,13],[1,2,4,7,11,12,14],[1,3,5,6,11,13,14],[1,3,5,7,10,12,14],[1,4,5,8,10,11,13],[1,4,7,8,9,10,14],[1,5,7,8,9,11,12],[1,6,7,9,10,11,13],[1,6,8,9,12,13,14],[2,3,7,9,10,11,13],[2,3,8,10,11,12,14],[2,4,5,9,10,12,13],[2,4,6,7,9,11,14],[2,5,6,7,8,13,14],[2,5,6,8,9,11,12],[2,5,7,8,10,13,14],[3,4,5,9,11,13,14],[3,4,6,7,8,12,13],[3,4,6,8,9,10,14],[3,4,7,8,11,12,13],[3,5,6,7,9,10,12],[4,5,6,10,11,12,14]]; G[9565]:=Group([(2,3)(4,5)(10,11)(12,14)]); # Design 9566: autom. group order 2, simple, residual B[9566]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,12,13,14],[1,2,4,6,10,12,13],[1,2,4,7,11,12,14],[1,3,5,6,11,13,14],[1,3,5,7,10,12,14],[1,4,5,8,10,11,13],[1,4,7,8,9,11,12],[1,5,7,8,9,10,14],[1,6,7,9,10,11,13],[1,6,8,9,12,13,14],[2,3,7,9,10,11,13],[2,3,8,10,11,12,14],[2,4,5,9,11,13,14],[2,4,6,7,9,10,14],[2,5,6,7,8,13,14],[2,5,6,8,9,10,12],[2,5,7,8,11,12,13],[3,4,5,9,10,12,13],[3,4,6,7,8,12,13],[3,4,6,8,9,11,14],[3,4,7,8,10,13,14],[3,5,6,7,9,11,12],[4,5,6,10,11,12,14]]; G[9566]:=Group([(2,3)(4,5)(10,11)(12,14)]); # Design 9567: autom. group order 2, simple, residual B[9567]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,12,13,14],[1,2,4,6,10,12,13],[1,2,4,7,11,12,14],[1,3,5,6,11,13,14],[1,3,5,7,10,12,14],[1,4,5,8,10,11,13],[1,4,7,8,9,11,14],[1,5,7,8,9,10,12],[1,6,7,9,10,11,13],[1,6,8,9,12,13,14],[2,3,7,9,10,11,13],[2,3,8,10,11,12,14],[2,4,5,9,11,12,13],[2,4,6,7,9,10,14],[2,5,6,7,8,12,13],[2,5,6,8,9,10,14],[2,5,7,8,11,13,14],[3,4,5,9,10,13,14],[3,4,6,7,8,13,14],[3,4,6,8,9,11,12],[3,4,7,8,10,12,13],[3,5,6,7,9,11,12],[4,5,6,10,11,12,14]]; G[9567]:=Group([(2,3)(4,5)(10,11)(12,14)]); # Design 9568: autom. group order 2, simple, residual B[9568]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,12,13,14],[1,2,4,6,10,12,13],[1,2,4,7,11,12,14],[1,3,5,6,11,13,14],[1,3,5,7,10,12,14],[1,4,5,8,10,11,13],[1,4,7,8,9,10,14],[1,5,7,8,9,11,12],[1,6,7,9,10,11,13],[1,6,8,9,12,13,14],[2,3,7,9,10,11,13],[2,3,8,10,11,12,14],[2,4,5,9,11,12,13],[2,4,6,7,8,13,14],[2,5,6,7,9,10,12],[2,5,6,8,9,10,14],[2,5,7,8,11,13,14],[3,4,5,9,10,13,14],[3,4,6,7,9,11,14],[3,4,6,8,9,11,12],[3,4,7,8,10,12,13],[3,5,6,7,8,12,13],[4,5,6,10,11,12,14]]; G[9568]:=Group([(2,3)(4,5)(10,11)(12,14)]); # Design 9569: autom. group order 2, simple, residual B[9569]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,12,13,14],[1,2,4,6,10,12,13],[1,2,4,7,11,12,14],[1,3,5,6,11,13,14],[1,3,5,7,10,12,14],[1,4,5,8,10,11,13],[1,4,7,8,9,10,14],[1,5,7,8,9,11,12],[1,6,7,9,10,11,13],[1,6,8,9,12,13,14],[2,3,7,9,10,11,13],[2,3,8,10,11,12,14],[2,4,5,9,11,12,13],[2,4,6,7,8,13,14],[2,5,6,7,9,10,14],[2,5,6,8,9,10,12],[2,5,7,8,11,13,14],[3,4,5,9,10,13,14],[3,4,6,7,9,11,12],[3,4,6,8,9,11,14],[3,4,7,8,10,12,13],[3,5,6,7,8,12,13],[4,5,6,10,11,12,14]]; G[9569]:=Group([(2,3)(4,5)(10,11)(12,14)]); # Design 9570: autom. group order 2, simple, residual B[9570]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,12,13,14],[1,2,4,6,10,12,13],[1,2,4,7,11,12,14],[1,3,5,6,11,13,14],[1,3,5,7,10,12,14],[1,4,5,8,10,11,13],[1,4,7,8,9,11,12],[1,5,7,8,9,10,14],[1,6,7,9,10,11,13],[1,6,8,9,12,13,14],[2,3,7,9,10,11,13],[2,3,8,10,11,12,14],[2,4,5,9,10,13,14],[2,4,6,7,8,13,14],[2,5,6,7,9,10,12],[2,5,6,8,9,11,12],[2,5,7,8,11,13,14],[3,4,5,9,11,12,13],[3,4,6,7,9,11,14],[3,4,6,8,9,10,14],[3,4,7,8,10,12,13],[3,5,6,7,8,12,13],[4,5,6,10,11,12,14]]; G[9570]:=Group([(2,3)(4,5)(10,11)(12,14)]); # Design 9571: autom. group order 2, simple, residual B[9571]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,12,13,14],[1,2,4,6,10,12,13],[1,2,4,7,11,12,14],[1,3,5,6,11,13,14],[1,3,5,7,10,12,14],[1,4,5,8,10,11,13],[1,4,7,8,9,11,12],[1,5,7,8,9,10,14],[1,6,7,9,10,11,13],[1,6,8,9,12,13,14],[2,3,7,9,10,11,13],[2,3,8,10,11,12,14],[2,4,5,9,10,13,14],[2,4,6,7,8,13,14],[2,5,6,7,9,11,12],[2,5,6,8,9,10,12],[2,5,7,8,11,13,14],[3,4,5,9,11,12,13],[3,4,6,7,9,10,14],[3,4,6,8,9,11,14],[3,4,7,8,10,12,13],[3,5,6,7,8,12,13],[4,5,6,10,11,12,14]]; G[9571]:=Group([(2,3)(4,5)(10,11)(12,14)]); # Design 9572: autom. group order 2, simple, residual B[9572]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,12,14],[1,3,5,6,9,13,14],[1,3,5,8,11,13,14],[1,4,5,10,11,12,13],[1,4,7,9,10,13,14],[1,5,7,8,11,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,7,8,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,11,13],[2,4,7,8,11,13,14],[2,5,6,7,10,13,14],[2,5,6,8,10,12,13],[2,5,6,9,11,12,14],[3,4,5,7,8,10,12],[3,4,6,7,11,12,14],[3,4,6,8,10,13,14],[3,4,6,9,11,12,13],[3,5,7,9,10,12,14],[4,5,6,8,9,10,11]]; G[9572]:=Group([(2,3)(4,5)(8,9)(10,11)(12,13)]); # Design 9573: autom. group order 2, simple B[9573]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,4,6,10,12,14],[1,2,4,8,10,13,14],[1,3,5,6,11,13,14],[1,3,5,9,11,12,14],[1,4,5,10,11,12,13],[1,4,7,9,11,13,14],[1,5,7,8,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,7,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,7,8,11,13],[2,4,7,9,11,12,14],[2,5,6,7,9,13,14],[2,5,6,8,11,12,14],[2,5,6,9,10,12,13],[3,4,5,7,9,10,12],[3,4,6,7,8,12,14],[3,4,6,8,11,12,13],[3,4,6,9,10,13,14],[3,5,7,8,10,13,14],[4,5,6,8,9,10,11]]; G[9573]:=Group([(2,3)(4,5)(8,9)(10,11)(12,13)]); # Design 9574: autom. group order 2, simple B[9574]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,4,6,10,12,14],[1,2,4,8,11,12,14],[1,3,5,6,11,13,14],[1,3,5,9,10,13,14],[1,4,5,10,11,12,13],[1,4,7,8,11,13,14],[1,5,7,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,7,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,11,13],[2,4,7,9,10,13,14],[2,5,6,7,8,13,14],[2,5,6,8,10,12,13],[2,5,6,9,11,12,14],[3,4,5,7,8,10,12],[3,4,6,7,9,12,14],[3,4,6,8,10,13,14],[3,4,6,9,11,12,13],[3,5,7,8,11,12,14],[4,5,6,8,9,10,11]]; G[9574]:=Group([(2,3)(4,5)(8,9)(10,11)(12,13)]); # Design 9575: autom. group order 2, simple B[9575]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,4,6,10,12,14],[1,2,4,8,11,13,14],[1,3,5,6,11,13,14],[1,3,5,9,10,12,14],[1,4,5,10,11,12,13],[1,4,7,8,11,12,14],[1,5,7,9,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,7,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,7,9,11,12],[2,4,7,9,10,13,14],[2,5,6,7,8,13,14],[2,5,6,8,10,12,14],[2,5,6,9,11,12,13],[3,4,5,7,8,10,13],[3,4,6,7,9,12,14],[3,4,6,8,10,12,13],[3,4,6,9,11,13,14],[3,5,7,8,11,12,14],[4,5,6,8,9,10,11]]; G[9575]:=Group([(2,3)(4,5)(8,9)(10,11)(12,13)]); # Design 9576: autom. group order 2, simple, residual B[9576]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,11,13],[1,2,4,9,10,12,14],[1,3,5,6,9,12,14],[1,3,5,8,10,11,13],[1,4,5,11,12,13,14],[1,4,7,9,10,11,14],[1,5,7,8,10,12,13],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,7,8,9,11,12],[2,3,7,11,12,13,14],[2,4,5,7,8,11,14],[2,4,8,9,10,12,13],[2,5,6,7,9,10,13],[2,5,6,8,10,12,14],[2,5,6,9,11,13,14],[3,4,5,7,9,12,13],[3,4,6,7,8,10,14],[3,4,6,8,12,13,14],[3,4,6,9,10,11,13],[3,5,8,9,10,11,14],[4,5,6,7,10,11,12]]; G[9576]:=Group([(2,3)(4,5)(8,9)(11,12)(13,14)]); # Design 9577: autom. group order 2, simple, residual B[9577]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,11,13],[1,2,4,9,10,12,14],[1,3,5,6,9,12,14],[1,3,5,8,10,11,13],[1,4,5,11,12,13,14],[1,4,7,9,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,7,8,9,11,12],[2,3,7,11,12,13,14],[2,4,5,7,8,12,13],[2,4,8,9,10,11,14],[2,5,6,7,9,10,13],[2,5,6,8,10,12,14],[2,5,6,9,11,13,14],[3,4,5,7,9,11,14],[3,4,6,7,8,10,14],[3,4,6,8,12,13,14],[3,4,6,9,10,11,13],[3,5,8,9,10,12,13],[4,5,6,7,10,11,12]]; G[9577]:=Group([(2,3)(4,5)(8,9)(11,12)(13,14)]); # Design 9578: autom. group order 2, simple, residual B[9578]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,11,13],[1,2,4,9,10,12,13],[1,3,5,6,9,12,14],[1,3,5,8,10,11,14],[1,4,5,11,12,13,14],[1,4,7,9,10,11,14],[1,5,7,8,10,12,13],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,7,8,9,11,12],[2,3,7,11,12,13,14],[2,4,5,7,8,11,14],[2,4,8,9,10,12,14],[2,5,6,7,9,10,14],[2,5,6,8,12,13,14],[2,5,6,9,10,11,13],[3,4,5,7,9,12,13],[3,4,6,7,8,10,13],[3,4,6,8,10,12,14],[3,4,6,9,11,13,14],[3,5,8,9,10,11,13],[4,5,6,7,10,11,12]]; G[9578]:=Group([(2,3)(4,5)(8,9)(11,12)(13,14)]); # Design 9579: autom. group order 2, simple, residual B[9579]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,11,13],[1,2,4,9,10,12,13],[1,3,5,6,9,12,14],[1,3,5,8,10,11,14],[1,4,5,11,12,13,14],[1,4,7,9,10,12,14],[1,5,7,8,10,11,13],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,7,8,9,11,12],[2,3,7,11,12,13,14],[2,4,5,7,8,12,14],[2,4,8,9,10,11,14],[2,5,6,7,9,10,13],[2,5,6,8,12,13,14],[2,5,6,9,10,11,14],[3,4,5,7,9,11,13],[3,4,6,7,8,10,14],[3,4,6,8,10,12,13],[3,4,6,9,11,13,14],[3,5,8,9,10,12,13],[4,5,6,7,10,11,12]]; G[9579]:=Group([(2,3)(4,5)(8,9)(11,12)(13,14)]); # Design 9580: autom. group order 2, simple, residual B[9580]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,11,13],[1,2,4,9,10,11,14],[1,3,5,6,9,12,14],[1,3,5,8,10,12,13],[1,4,5,11,12,13,14],[1,4,7,9,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,7,8,9,11,12],[2,3,7,11,12,13,14],[2,4,5,7,8,12,13],[2,4,8,9,10,12,14],[2,5,6,7,8,10,14],[2,5,6,9,10,11,13],[2,5,6,9,12,13,14],[3,4,5,7,9,11,14],[3,4,6,7,9,10,13],[3,4,6,8,10,12,14],[3,4,6,8,11,13,14],[3,5,8,9,10,11,13],[4,5,6,7,10,11,12]]; G[9580]:=Group([(2,3)(4,5)(8,9)(11,12)(13,14)]); # Design 9581: autom. group order 2, simple, residual B[9581]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,11,13],[1,2,4,9,10,11,14],[1,3,5,6,9,12,14],[1,3,5,8,10,12,13],[1,4,5,11,12,13,14],[1,4,7,9,10,12,14],[1,5,7,8,10,11,13],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,7,8,9,11,12],[2,3,7,11,12,13,14],[2,4,5,7,8,12,14],[2,4,8,9,10,12,13],[2,5,6,7,8,10,14],[2,5,6,9,10,12,13],[2,5,6,9,11,13,14],[3,4,5,7,9,11,13],[3,4,6,7,9,10,13],[3,4,6,8,10,11,14],[3,4,6,8,12,13,14],[3,5,8,9,10,11,14],[4,5,6,7,10,11,12]]; G[9581]:=Group([(2,3)(4,5)(8,9)(11,12)(13,14)]); # Design 9582: autom. group order 2, simple, residual B[9582]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,11,13],[1,2,4,9,10,11,14],[1,3,5,6,9,12,14],[1,3,5,8,10,12,13],[1,4,5,11,12,13,14],[1,4,7,8,10,12,14],[1,5,7,9,10,11,13],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,7,8,9,11,12],[2,3,7,11,12,13,14],[2,4,5,7,9,12,14],[2,4,8,9,10,12,13],[2,5,6,7,9,10,13],[2,5,6,8,10,11,14],[2,5,6,8,12,13,14],[3,4,5,7,8,11,13],[3,4,6,7,8,10,14],[3,4,6,9,10,12,13],[3,4,6,9,11,13,14],[3,5,8,9,10,11,14],[4,5,6,7,10,11,12]]; G[9582]:=Group([(2,3)(4,5)(8,9)(11,12)(13,14)]); # Design 9583: autom. group order 2, simple, residual B[9583]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,11,13],[1,2,4,9,10,11,14],[1,3,5,6,9,12,14],[1,3,5,8,10,12,13],[1,4,5,11,12,13,14],[1,4,7,8,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,7,8,9,11,12],[2,3,7,11,12,13,14],[2,4,5,7,9,12,13],[2,4,8,9,10,12,14],[2,5,6,7,9,10,13],[2,5,6,8,10,12,14],[2,5,6,8,11,13,14],[3,4,5,7,8,11,14],[3,4,6,7,8,10,14],[3,4,6,9,10,11,13],[3,4,6,9,12,13,14],[3,5,8,9,10,11,13],[4,5,6,7,10,11,12]]; G[9583]:=Group([(2,3)(4,5)(8,9)(11,12)(13,14)]); # Design 9584: autom. group order 2, simple, residual B[9584]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,11,13],[1,2,4,9,10,12,13],[1,3,5,6,9,12,14],[1,3,5,8,10,11,14],[1,4,5,11,12,13,14],[1,4,7,8,10,11,14],[1,5,7,9,10,12,13],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,7,8,9,11,12],[2,3,7,11,12,13,14],[2,4,5,7,9,11,14],[2,4,8,9,10,12,14],[2,5,6,7,8,10,13],[2,5,6,8,10,12,14],[2,5,6,9,11,13,14],[3,4,5,7,8,12,13],[3,4,6,7,9,10,14],[3,4,6,8,12,13,14],[3,4,6,9,10,11,13],[3,5,8,9,10,11,13],[4,5,6,7,10,11,12]]; G[9584]:=Group([(2,3)(4,5)(8,9)(11,12)(13,14)]); # Design 9585: autom. group order 2, simple, residual B[9585]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,11,13],[1,2,4,9,10,12,13],[1,3,5,6,9,12,14],[1,3,5,8,10,11,14],[1,4,5,11,12,13,14],[1,4,7,8,10,12,14],[1,5,7,9,10,11,13],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,7,8,9,11,12],[2,3,7,11,12,13,14],[2,4,5,7,9,12,14],[2,4,8,9,10,11,14],[2,5,6,7,8,10,14],[2,5,6,8,10,12,13],[2,5,6,9,11,13,14],[3,4,5,7,8,11,13],[3,4,6,7,9,10,13],[3,4,6,8,12,13,14],[3,4,6,9,10,11,14],[3,5,8,9,10,12,13],[4,5,6,7,10,11,12]]; G[9585]:=Group([(2,3)(4,5)(8,9)(11,12)(13,14)]); # Design 9586: autom. group order 2, simple, residual B[9586]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,11,13],[1,2,4,9,10,12,14],[1,3,5,6,9,12,14],[1,3,5,8,10,11,13],[1,4,5,11,12,13,14],[1,4,7,8,10,11,14],[1,5,7,9,10,12,13],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,7,8,9,11,12],[2,3,7,11,12,13,14],[2,4,5,7,9,11,14],[2,4,8,9,10,12,13],[2,5,6,7,8,10,14],[2,5,6,8,12,13,14],[2,5,6,9,10,11,13],[3,4,5,7,8,12,13],[3,4,6,7,9,10,13],[3,4,6,8,10,12,14],[3,4,6,9,11,13,14],[3,5,8,9,10,11,14],[4,5,6,7,10,11,12]]; G[9586]:=Group([(2,3)(4,5)(8,9)(11,12)(13,14)]); # Design 9587: autom. group order 2, simple, residual B[9587]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,11,13],[1,2,4,9,10,12,14],[1,3,5,6,9,12,14],[1,3,5,8,10,11,13],[1,4,5,11,12,13,14],[1,4,7,8,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,7,8,9,11,12],[2,3,7,11,12,13,14],[2,4,5,7,9,12,13],[2,4,8,9,10,11,14],[2,5,6,7,8,10,14],[2,5,6,8,12,13,14],[2,5,6,9,10,11,13],[3,4,5,7,8,11,14],[3,4,6,7,9,10,13],[3,4,6,8,10,12,14],[3,4,6,9,11,13,14],[3,5,8,9,10,12,13],[4,5,6,7,10,11,12]]; G[9587]:=Group([(2,3)(4,5)(8,9)(11,12)(13,14)]); # Design 9588: autom. group order 2, simple, residual B[9588]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,11,12],[1,2,4,6,9,12,13],[1,2,4,7,10,13,14],[1,3,5,8,11,13,14],[1,3,5,9,10,12,14],[1,4,5,6,11,13,14],[1,4,8,9,10,12,14],[1,5,7,9,11,12,13],[1,6,7,8,9,10,13],[1,6,7,8,11,12,14],[2,3,6,9,12,13,14],[2,3,7,9,11,13,14],[2,4,5,10,11,12,14],[2,4,7,8,9,11,14],[2,5,6,8,9,11,12],[2,5,6,8,10,13,14],[2,5,7,8,10,12,13],[3,4,5,7,8,12,13],[3,4,6,7,8,12,14],[3,4,6,10,11,12,13],[3,4,8,9,10,11,13],[3,5,6,7,9,10,14],[4,5,6,7,9,10,11]]; G[9588]:=Group([(1,11)(2,10)(5,13)(7,12)]); # Design 9589: autom. group order 2, simple, residual B[9589]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,11,12],[1,2,4,6,9,12,13],[1,2,4,7,10,13,14],[1,3,5,8,12,13,14],[1,3,5,9,10,12,14],[1,4,5,6,11,13,14],[1,4,8,9,10,11,14],[1,5,7,9,11,12,13],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,6,11,12,13,14],[2,3,8,9,11,13,14],[2,4,5,10,11,12,14],[2,4,7,8,9,12,14],[2,5,6,7,9,11,14],[2,5,6,8,9,10,13],[2,5,7,8,10,12,13],[3,4,5,7,8,11,13],[3,4,6,7,8,12,14],[3,4,6,9,10,12,13],[3,4,7,9,10,11,13],[3,5,6,7,9,10,14],[4,5,6,8,10,11,12]]; G[9589]:=Group([(1,11)(4,14)(5,13)(7,12)]); # Design 9590: autom. group order 2, simple, residual B[9590]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,11,12],[1,2,4,6,9,12,13],[1,2,4,10,12,13,14],[1,3,5,8,11,13,14],[1,3,5,9,10,12,14],[1,4,5,6,11,13,14],[1,4,7,8,9,10,14],[1,5,7,9,11,12,13],[1,6,7,8,9,10,13],[1,6,7,8,11,12,14],[2,3,6,7,9,13,14],[2,3,7,9,11,13,14],[2,4,5,7,10,11,14],[2,4,8,9,11,12,14],[2,5,6,8,9,11,12],[2,5,6,8,10,13,14],[2,5,7,8,10,12,13],[3,4,5,7,8,12,13],[3,4,6,7,8,12,14],[3,4,6,10,11,12,13],[3,4,8,9,10,11,13],[3,5,6,9,10,12,14],[4,5,6,7,9,10,11]]; G[9590]:=Group([(1,11)(2,10)(5,13)(7,12)]); # Design 9591: autom. group order 2, simple B[9591]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,6,9,13,14],[1,2,4,7,10,12,13],[1,3,5,7,11,13,14],[1,3,5,9,11,12,14],[1,4,5,6,10,12,14],[1,4,7,8,11,12,14],[1,5,7,8,9,10,13],[1,6,7,8,9,12,13],[1,6,8,9,10,11,14],[2,3,6,7,8,9,14],[2,3,7,8,10,12,14],[2,4,5,8,9,11,12],[2,4,7,9,10,11,14],[2,5,6,7,11,13,14],[2,5,6,8,11,12,13],[2,5,9,10,12,13,14],[3,4,5,8,10,13,14],[3,4,6,8,12,13,14],[3,4,6,9,10,11,13],[3,4,7,9,11,12,13],[3,5,6,7,9,10,12],[4,5,6,7,8,10,11]]; G[9591]:=Group([(2,11)(4,14)(6,12)(7,9)(8,13)]); # Design 9592: autom. group order 2, simple, residual B[9592]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,6,9,13,14],[1,2,4,7,10,12,13],[1,3,5,7,11,13,14],[1,3,5,9,11,12,14],[1,4,5,6,10,12,14],[1,4,7,8,11,12,14],[1,5,7,8,9,10,13],[1,6,7,8,9,12,13],[1,6,8,9,10,11,14],[2,3,6,7,8,9,14],[2,3,7,8,10,12,14],[2,4,5,8,11,13,14],[2,4,7,9,10,11,14],[2,5,6,7,9,11,12],[2,5,6,8,11,12,13],[2,5,9,10,12,13,14],[3,4,5,8,9,10,12],[3,4,6,8,12,13,14],[3,4,6,9,10,11,13],[3,4,7,9,11,12,13],[3,5,6,7,10,13,14],[4,5,6,7,8,10,11]]; G[9592]:=Group([(2,11)(4,14)(6,12)(7,9)(8,13)]); # Design 9593: autom. group order 2, simple, residual B[9593]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,6,9,13,14],[1,2,4,7,10,12,13],[1,3,5,7,11,13,14],[1,3,5,9,11,12,14],[1,4,5,6,10,12,14],[1,4,7,8,11,12,14],[1,5,7,8,9,10,13],[1,6,7,8,9,12,13],[1,6,8,9,10,11,14],[2,3,6,7,8,9,14],[2,3,9,10,12,13,14],[2,4,5,8,11,13,14],[2,4,7,9,10,11,14],[2,5,6,7,9,11,12],[2,5,6,8,11,12,13],[2,5,7,8,10,12,14],[3,4,5,8,9,10,12],[3,4,6,7,8,10,11],[3,4,6,8,12,13,14],[3,4,7,9,11,12,13],[3,5,6,7,10,13,14],[4,5,6,9,10,11,13]]; G[9593]:=Group([(2,11)(4,14)(6,12)(7,9)(8,13)]); # Design 9594: autom. group order 2, simple, residual B[9594]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,6,9,11,13],[1,2,4,7,8,12,14],[1,3,5,7,10,13,14],[1,3,5,9,11,12,13],[1,4,5,6,12,13,14],[1,4,8,9,10,11,14],[1,5,7,8,9,10,11],[1,6,7,8,11,12,14],[1,6,7,9,10,12,13],[2,3,6,7,9,10,14],[2,3,7,8,11,12,13],[2,4,5,7,10,11,12],[2,4,9,10,12,13,14],[2,5,6,8,9,10,12],[2,5,6,8,11,13,14],[2,5,7,9,11,13,14],[3,4,5,10,11,12,14],[3,4,6,7,9,11,14],[3,4,6,8,10,11,13],[3,4,7,8,9,12,13],[3,5,6,8,9,12,14],[4,5,6,7,8,10,13]]; G[9594]:=Group([(1,13)(3,14)(4,11)(6,9)]); # Design 9595: autom. group order 2, simple B[9595]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,6,7,13,14],[1,2,4,9,10,12,13],[1,3,5,7,11,13,14],[1,3,5,9,11,12,14],[1,4,5,6,10,12,14],[1,4,8,9,11,12,14],[1,5,7,8,9,10,13],[1,6,7,8,9,12,13],[1,6,7,8,10,11,14],[2,3,7,8,10,12,14],[2,3,7,9,12,13,14],[2,4,5,7,8,11,12],[2,4,7,9,10,11,14],[2,5,6,8,9,10,14],[2,5,6,8,11,12,13],[2,5,6,9,11,13,14],[3,4,5,8,10,13,14],[3,4,6,7,8,9,11],[3,4,6,8,12,13,14],[3,4,6,9,10,11,13],[3,5,6,7,9,10,12],[4,5,7,10,11,12,13]]; G[9595]:=Group([(2,11)(4,14)(6,12)(7,9)(8,13)]); # Design 9596: autom. group order 2, simple B[9596]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,4,6,10,12,14],[1,2,4,8,11,13,14],[1,3,5,7,11,13,14],[1,3,5,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,7,9,10,13],[1,5,6,8,9,11,12],[1,6,7,8,11,12,14],[1,7,8,9,10,13,14],[2,3,6,9,11,13,14],[2,3,7,8,10,12,14],[2,4,5,8,10,11,14],[2,4,7,9,11,12,13],[2,5,6,7,8,12,13],[2,5,6,9,10,13,14],[2,5,7,9,10,11,12],[3,4,5,7,12,13,14],[3,4,6,8,10,12,13],[3,4,6,9,11,12,14],[3,4,7,8,9,10,11],[3,5,6,8,10,11,13],[4,5,6,7,8,9,14]]; G[9596]:=Group([(2,3)(4,5)(6,9)(7,8)(10,12)(11,13)]); # Design 9597: autom. group order 2, simple B[9597]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,4,6,10,12,14],[1,2,4,8,11,13,14],[1,3,5,7,11,13,14],[1,3,5,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,7,9,11,12],[1,5,6,8,9,10,13],[1,6,7,8,10,13,14],[1,7,8,9,11,12,14],[2,3,6,9,11,13,14],[2,3,7,8,10,12,14],[2,4,5,8,10,11,14],[2,4,7,9,10,12,13],[2,5,6,7,8,12,13],[2,5,6,9,11,12,14],[2,5,7,9,10,11,13],[3,4,5,7,12,13,14],[3,4,6,8,11,12,13],[3,4,6,9,10,13,14],[3,4,7,8,9,10,11],[3,5,6,8,10,11,12],[4,5,6,7,8,9,14]]; G[9597]:=Group([(2,3)(4,5)(6,9)(7,8)(10,12)(11,13)]); # Design 9598: autom. group order 2, simple B[9598]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,4,6,10,12,14],[1,2,4,8,11,13,14],[1,3,5,7,11,13,14],[1,3,5,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,8,9,10,11],[1,5,6,7,9,12,13],[1,6,7,8,10,13,14],[1,7,8,9,11,12,14],[2,3,6,9,11,13,14],[2,3,7,8,10,12,14],[2,4,5,7,11,12,14],[2,4,7,9,10,12,13],[2,5,6,8,11,12,13],[2,5,6,9,10,13,14],[2,5,7,8,9,10,11],[3,4,5,8,10,13,14],[3,4,6,7,8,12,13],[3,4,6,9,11,12,14],[3,4,7,9,10,11,13],[3,5,6,8,10,11,12],[4,5,6,7,8,9,14]]; G[9598]:=Group([(2,3)(4,5)(6,9)(7,8)(10,12)(11,13)]); # Design 9599: autom. group order 2, simple B[9599]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,4,6,10,12,14],[1,2,4,8,11,13,14],[1,3,5,7,11,13,14],[1,3,5,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,8,9,10,11],[1,5,6,7,9,12,13],[1,6,7,8,11,12,14],[1,7,8,9,10,13,14],[2,3,6,9,11,13,14],[2,3,7,8,10,12,14],[2,4,5,7,10,13,14],[2,4,7,9,11,12,13],[2,5,6,8,10,12,13],[2,5,6,9,11,12,14],[2,5,7,8,9,10,11],[3,4,5,8,11,12,14],[3,4,6,7,8,12,13],[3,4,6,9,10,13,14],[3,4,7,9,10,11,12],[3,5,6,8,10,11,13],[4,5,6,7,8,9,14]]; G[9599]:=Group([(2,3)(4,5)(6,9)(7,8)(10,12)(11,13)]); # Design 9600: autom. group order 2, simple, residual B[9600]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,10,12],[1,2,4,6,10,13,14],[1,2,4,11,12,13,14],[1,3,5,8,10,13,14],[1,3,5,11,12,13,14],[1,4,5,7,9,11,12],[1,4,6,8,9,11,13],[1,5,6,7,8,12,13],[1,6,7,9,10,12,14],[1,7,8,9,10,11,14],[2,3,6,8,11,12,14],[2,3,7,9,11,12,13],[2,4,5,9,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,8,11,14],[2,5,6,9,10,12,13],[2,5,7,8,9,13,14],[3,4,5,7,10,12,14],[3,4,6,7,9,13,14],[3,4,6,8,9,12,14],[3,4,7,8,10,11,13],[3,5,6,9,10,11,13],[4,5,6,8,10,11,12]]; G[9600]:=Group([(2,3)(4,5)(6,8)(7,9)(11,12)]); # Design 9601: autom. group order 2, simple B[9601]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,13,14],[1,2,4,7,11,12,13],[1,3,5,8,10,11,14],[1,3,5,9,11,12,13],[1,4,5,9,10,13,14],[1,4,6,8,9,10,12],[1,5,6,7,11,12,14],[1,6,7,8,9,12,14],[1,7,8,9,10,11,13],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,9,11,12,14],[2,4,7,9,10,11,14],[2,5,6,8,10,11,13],[2,5,6,9,10,12,13],[2,5,7,8,10,12,14],[3,4,5,7,8,10,12],[3,4,6,7,9,10,11],[3,4,6,10,12,13,14],[3,4,8,11,12,13,14],[3,5,6,7,9,13,14],[4,5,6,7,8,11,13]]; G[9601]:=Group([(1,13)(2,14)(5,12)(7,10)(9,11)]); # Design 9602: autom. group order 2, simple, residual B[9602]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,6,8,13,14],[1,2,4,7,12,13,14],[1,3,5,8,10,12,14],[1,3,5,9,12,13,14],[1,4,5,9,10,11,13],[1,4,6,8,9,11,12],[1,5,6,7,10,11,14],[1,6,7,8,9,11,14],[1,7,8,9,10,12,13],[2,3,6,8,9,10,14],[2,3,7,8,9,11,13],[2,4,5,9,10,11,14],[2,4,7,9,10,12,14],[2,5,6,8,10,12,13],[2,5,6,9,11,12,13],[2,5,7,8,11,12,14],[3,4,5,7,8,11,12],[3,4,6,7,9,10,12],[3,4,6,11,12,13,14],[3,4,8,10,11,13,14],[3,5,6,7,9,13,14],[4,5,6,7,8,10,13]]; G[9602]:=Group([(1,13)(2,14)(5,11)(7,12)(9,10)]); # Design 9603: autom. group order 2, simple, residual B[9603]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,10,12],[1,2,4,6,12,13,14],[1,2,4,10,12,13,14],[1,3,5,7,11,13,14],[1,3,5,10,11,13,14],[1,4,5,8,9,11,12],[1,4,6,7,9,11,13],[1,5,6,7,8,12,14],[1,6,8,9,10,11,14],[1,7,8,9,10,12,13],[2,3,6,9,11,12,14],[2,3,7,8,11,12,13],[2,4,5,9,10,11,13],[2,4,7,8,10,11,14],[2,5,6,7,9,10,14],[2,5,6,8,11,12,13],[2,5,7,8,9,13,14],[3,4,5,8,10,12,14],[3,4,6,7,8,10,13],[3,4,6,8,9,13,14],[3,4,7,9,11,12,14],[3,5,6,9,10,12,13],[4,5,6,7,10,11,12]]; G[9603]:=Group([(2,3)(4,5)(6,7)(8,9)(11,12)(13,14)]); # Design 9604: autom. group order 2, simple, residual B[9604]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,10,12],[1,2,4,6,11,13,14],[1,2,4,10,12,13,14],[1,3,5,7,12,13,14],[1,3,5,10,11,13,14],[1,4,5,8,9,11,12],[1,4,6,7,9,12,13],[1,5,6,7,8,11,14],[1,6,8,9,10,12,14],[1,7,8,9,10,11,13],[2,3,6,9,11,12,14],[2,3,7,8,11,12,13],[2,4,5,9,10,11,13],[2,4,7,8,11,12,14],[2,5,6,7,9,10,14],[2,5,6,8,10,12,13],[2,5,7,8,9,13,14],[3,4,5,8,10,12,14],[3,4,6,7,8,10,13],[3,4,6,8,9,13,14],[3,4,7,9,10,11,14],[3,5,6,9,11,12,13],[4,5,6,7,10,11,12]]; G[9604]:=Group([(2,3)(4,5)(6,7)(8,9)(11,12)(13,14)]); # Design 9605: autom. group order 2, simple, residual B[9605]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,10,12],[1,2,4,6,12,13,14],[1,2,4,10,12,13,14],[1,3,5,7,11,13,14],[1,3,5,10,11,13,14],[1,4,5,8,9,11,12],[1,4,6,7,9,11,13],[1,5,6,7,8,12,14],[1,6,8,9,10,11,14],[1,7,8,9,10,12,13],[2,3,6,9,11,12,14],[2,3,7,8,11,12,13],[2,4,5,9,10,11,13],[2,4,7,8,10,11,14],[2,5,6,7,8,10,13],[2,5,6,8,9,13,14],[2,5,7,9,11,12,14],[3,4,5,8,10,12,14],[3,4,6,7,9,10,14],[3,4,6,8,11,12,13],[3,4,7,8,9,13,14],[3,5,6,9,10,12,13],[4,5,6,7,10,11,12]]; G[9605]:=Group([(2,3)(4,5)(6,7)(8,9)(11,12)(13,14)]); # Design 9606: autom. group order 2, simple, residual B[9606]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,10,12],[1,2,4,6,12,13,14],[1,2,4,10,12,13,14],[1,3,5,7,11,13,14],[1,3,5,10,11,13,14],[1,4,5,8,9,11,12],[1,4,6,7,9,11,13],[1,5,6,7,8,12,14],[1,6,8,9,10,11,14],[1,7,8,9,10,12,13],[2,3,6,8,11,12,13],[2,3,7,9,11,12,14],[2,4,5,9,10,11,13],[2,4,7,8,10,11,14],[2,5,6,7,9,10,14],[2,5,6,8,9,13,14],[2,5,7,8,11,12,13],[3,4,5,8,10,12,14],[3,4,6,7,8,10,13],[3,4,6,9,11,12,14],[3,4,7,8,9,13,14],[3,5,6,9,10,12,13],[4,5,6,7,10,11,12]]; G[9606]:=Group([(2,3)(4,5)(6,7)(8,9)(11,12)(13,14)]); # Design 9607: autom. group order 2, simple, residual B[9607]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,10,12],[1,2,4,6,12,13,14],[1,2,4,10,12,13,14],[1,3,5,7,11,13,14],[1,3,5,10,11,13,14],[1,4,5,8,9,11,12],[1,4,6,7,9,11,13],[1,5,6,7,8,12,14],[1,6,8,9,10,11,14],[1,7,8,9,10,12,13],[2,3,6,8,11,12,13],[2,3,7,9,11,12,14],[2,4,5,9,10,11,13],[2,4,7,8,10,11,14],[2,5,6,7,8,10,13],[2,5,6,9,11,12,14],[2,5,7,8,9,13,14],[3,4,5,8,10,12,14],[3,4,6,7,9,10,14],[3,4,6,8,9,13,14],[3,4,7,8,11,12,13],[3,5,6,9,10,12,13],[4,5,6,7,10,11,12]]; G[9607]:=Group([(2,3)(4,5)(6,7)(8,9)(11,12)(13,14)]); # Design 9608: autom. group order 2, simple B[9608]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,4,6,12,13,14],[1,2,4,9,10,11,14],[1,3,5,7,10,11,14],[1,3,5,8,12,13,14],[1,4,5,10,11,12,13],[1,4,6,7,8,10,12],[1,5,6,8,9,11,13],[1,6,7,9,11,13,14],[1,7,8,9,10,12,14],[2,3,6,7,10,13,14],[2,3,8,9,11,12,14],[2,4,5,9,10,13,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,12],[2,5,6,8,10,12,14],[2,5,7,8,10,11,13],[3,4,5,7,11,12,14],[3,4,6,8,11,13,14],[3,4,6,9,10,11,12],[3,4,7,8,9,10,13],[3,5,6,9,10,12,13],[4,5,6,7,8,9,14]]; G[9608]:=Group([(2,3)(4,5)(6,8)(7,9)(10,11)(12,13)]); # Design 9609: autom. group order 2, simple, residual B[9609]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,4,6,11,12,14],[1,2,4,9,12,13,14],[1,3,5,7,9,11,13],[1,3,5,10,11,12,14],[1,4,5,8,10,13,14],[1,4,6,7,8,11,13],[1,5,6,9,10,13,14],[1,6,7,8,9,12,14],[1,7,8,9,10,11,12],[2,3,6,8,9,10,14],[2,3,7,8,12,13,14],[2,4,5,7,9,10,12],[2,4,8,9,10,11,13],[2,5,6,7,9,11,14],[2,5,6,10,11,12,13],[2,5,7,8,11,13,14],[3,4,5,8,11,12,14],[3,4,6,7,10,13,14],[3,4,6,9,11,12,13],[3,4,7,9,10,11,14],[3,5,6,8,9,12,13],[4,5,6,7,8,10,12]]; G[9609]:=Group([(1,10)(2,7)(3,12)(6,9)]); # Design 9610: autom. group order 2, simple, residual B[9610]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,4,6,12,13,14],[1,2,4,9,11,12,14],[1,3,5,7,9,11,13],[1,3,5,10,11,12,14],[1,4,5,8,10,13,14],[1,4,6,7,8,11,13],[1,5,6,9,10,13,14],[1,6,7,8,9,12,14],[1,7,8,9,10,11,12],[2,3,6,8,9,10,14],[2,3,7,8,12,13,14],[2,4,5,7,9,10,12],[2,4,8,9,10,11,13],[2,5,6,7,9,11,14],[2,5,6,10,11,12,13],[2,5,7,8,11,13,14],[3,4,5,8,11,12,14],[3,4,6,7,10,11,14],[3,4,6,9,11,12,13],[3,4,7,9,10,13,14],[3,5,6,8,9,12,13],[4,5,6,7,8,10,12]]; G[9610]:=Group([(1,10)(2,7)(3,12)(6,9)]); # Design 9611: autom. group order 2, simple B[9611]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,4,6,10,12,14],[1,2,4,8,11,13,14],[1,3,5,7,11,13,14],[1,3,5,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,7,9,10,13],[1,5,6,8,9,11,12],[1,6,7,8,10,13,14],[1,7,8,9,11,12,14],[2,3,6,9,11,13,14],[2,3,7,8,10,12,14],[2,4,5,8,12,13,14],[2,4,7,9,10,11,12],[2,5,6,7,11,12,13],[2,5,6,9,10,11,14],[2,5,7,8,9,10,13],[3,4,5,7,10,11,14],[3,4,6,7,8,11,12],[3,4,6,9,12,13,14],[3,4,8,9,10,11,13],[3,5,6,8,10,12,13],[4,5,6,7,8,9,14]]; G[9611]:=Group([(2,3)(4,5)(6,9)(7,8)(10,12)(11,13)]); # Design 9612: autom. group order 2, simple B[9612]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,4,6,10,12,14],[1,2,4,8,11,13,14],[1,3,5,7,11,13,14],[1,3,5,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,7,9,11,12],[1,5,6,8,9,10,13],[1,6,7,8,11,12,14],[1,7,8,9,10,13,14],[2,3,6,9,11,13,14],[2,3,7,8,10,12,14],[2,4,5,8,12,13,14],[2,4,7,9,10,11,13],[2,5,6,7,10,12,13],[2,5,6,9,10,11,14],[2,5,7,8,9,11,12],[3,4,5,7,10,11,14],[3,4,6,7,8,10,13],[3,4,6,9,12,13,14],[3,4,8,9,10,11,12],[3,5,6,8,11,12,13],[4,5,6,7,8,9,14]]; G[9612]:=Group([(2,3)(4,5)(6,9)(7,8)(10,12)(11,13)]); # Design 9613: autom. group order 2, simple B[9613]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,4,6,12,13,14],[1,2,4,9,10,11,14],[1,3,5,7,10,11,14],[1,3,5,8,12,13,14],[1,4,5,10,11,12,13],[1,4,6,8,9,10,12],[1,5,6,7,8,11,13],[1,6,7,9,10,13,14],[1,7,8,9,11,12,14],[2,3,6,7,10,12,14],[2,3,8,9,11,13,14],[2,4,5,7,11,12,14],[2,4,7,8,10,11,13],[2,5,6,8,10,13,14],[2,5,6,9,11,12,13],[2,5,7,8,9,10,12],[3,4,5,9,10,13,14],[3,4,6,7,9,11,13],[3,4,6,8,11,12,14],[3,4,7,8,10,12,13],[3,5,6,9,10,11,12],[4,5,6,7,8,9,14]]; G[9613]:=Group([(2,3)(4,5)(6,8)(7,9)(10,11)(12,13)]); # Design 9614: autom. group order 2, simple, residual B[9614]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,4,6,11,12,13],[1,2,4,9,11,12,14],[1,3,5,7,9,13,14],[1,3,5,10,11,12,14],[1,4,5,8,10,13,14],[1,4,6,9,10,13,14],[1,5,6,7,8,11,13],[1,6,7,8,9,12,14],[1,7,8,9,10,11,12],[2,3,6,8,9,10,14],[2,3,7,8,12,13,14],[2,4,5,7,9,10,12],[2,4,7,8,11,13,14],[2,5,6,7,9,11,14],[2,5,6,10,12,13,14],[2,5,8,9,10,11,13],[3,4,5,8,11,12,14],[3,4,6,7,10,11,14],[3,4,6,8,9,12,13],[3,4,7,9,10,11,13],[3,5,6,9,11,12,13],[4,5,6,7,8,10,12]]; G[9614]:=Group([(1,10)(2,7)(3,12)(6,9)]); # Design 9615: autom. group order 2, simple, residual B[9615]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,4,6,11,12,14],[1,2,4,9,11,12,13],[1,3,5,7,9,13,14],[1,3,5,10,11,12,14],[1,4,5,8,10,13,14],[1,4,6,9,10,13,14],[1,5,6,7,8,11,13],[1,6,7,8,9,12,14],[1,7,8,9,10,11,12],[2,3,6,8,9,10,14],[2,3,7,8,12,13,14],[2,4,5,7,9,10,12],[2,4,7,8,11,13,14],[2,5,6,7,9,11,14],[2,5,6,10,12,13,14],[2,5,8,9,10,11,13],[3,4,5,8,11,12,14],[3,4,6,7,10,11,13],[3,4,6,8,9,12,13],[3,4,7,9,10,11,14],[3,5,6,9,11,12,13],[4,5,6,7,8,10,12]]; G[9615]:=Group([(1,10)(2,7)(3,12)(6,9)]); # Design 9616: autom. group order 2, simple B[9616]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,4,6,12,13,14],[1,2,4,9,10,11,14],[1,3,5,7,10,11,14],[1,3,5,8,12,13,14],[1,4,5,10,11,12,13],[1,4,6,8,9,10,12],[1,5,6,7,8,11,13],[1,6,7,9,10,13,14],[1,7,8,9,11,12,14],[2,3,6,9,11,13,14],[2,3,7,8,10,12,14],[2,4,5,7,10,13,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,12],[2,5,6,8,10,12,14],[2,5,8,9,10,11,13],[3,4,5,9,11,12,14],[3,4,6,7,10,11,12],[3,4,6,8,11,13,14],[3,4,7,8,9,10,13],[3,5,6,9,10,12,13],[4,5,6,7,8,9,14]]; G[9616]:=Group([(2,3)(4,5)(6,8)(7,9)(10,11)(12,13)]); # Design 9617: autom. group order 2, simple B[9617]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,4,6,12,13,14],[1,2,4,9,10,11,14],[1,3,5,7,10,11,14],[1,3,5,8,12,13,14],[1,4,5,10,11,12,13],[1,4,6,8,9,10,12],[1,5,6,7,8,11,13],[1,6,7,9,11,12,14],[1,7,8,9,10,13,14],[2,3,6,9,11,13,14],[2,3,7,8,10,12,14],[2,4,5,7,11,12,14],[2,4,7,8,10,11,13],[2,5,6,7,9,10,13],[2,5,6,8,10,12,14],[2,5,8,9,11,12,13],[3,4,5,9,10,13,14],[3,4,6,7,10,12,13],[3,4,6,8,11,13,14],[3,4,7,8,9,11,12],[3,5,6,9,10,11,12],[4,5,6,7,8,9,14]]; G[9617]:=Group([(2,3)(4,5)(6,8)(7,9)(10,11)(12,13)]); # Design 9618: autom. group order 2, simple B[9618]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,4,6,10,12,14],[1,2,4,8,11,13,14],[1,3,5,7,11,13,14],[1,3,5,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,8,9,12,13],[1,5,6,7,9,10,11],[1,6,7,8,10,13,14],[1,7,8,9,11,12,14],[2,3,6,9,11,13,14],[2,3,7,8,10,12,14],[2,4,5,7,10,13,14],[2,4,7,9,10,11,12],[2,5,6,7,8,11,12],[2,5,6,9,12,13,14],[2,5,8,9,10,11,13],[3,4,5,8,11,12,14],[3,4,6,7,11,12,13],[3,4,6,9,10,11,14],[3,4,7,8,9,10,13],[3,5,6,8,10,12,13],[4,5,6,7,8,9,14]]; G[9618]:=Group([(2,3)(4,5)(6,9)(7,8)(10,12)(11,13)]); # Design 9619: autom. group order 2, simple B[9619]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,4,6,10,12,14],[1,2,4,8,11,13,14],[1,3,5,7,11,13,14],[1,3,5,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,8,9,12,13],[1,5,6,7,9,10,11],[1,6,7,8,11,12,14],[1,7,8,9,10,13,14],[2,3,6,9,11,13,14],[2,3,7,8,10,12,14],[2,4,5,7,11,12,14],[2,4,7,9,10,11,13],[2,5,6,7,8,10,13],[2,5,6,9,12,13,14],[2,5,8,9,10,11,12],[3,4,5,8,10,13,14],[3,4,6,7,10,12,13],[3,4,6,9,10,11,14],[3,4,7,8,9,11,12],[3,5,6,8,11,12,13],[4,5,6,7,8,9,14]]; G[9619]:=Group([(2,3)(4,5)(6,9)(7,8)(10,12)(11,13)]); # Design 9620: autom. group order 2, simple, residual B[9620]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,6,8,13,14],[1,2,4,9,10,12,14],[1,3,5,8,11,12,14],[1,3,5,9,12,13,14],[1,4,5,9,10,11,13],[1,4,6,7,8,12,13],[1,5,6,7,10,11,14],[1,6,7,8,9,10,14],[1,7,8,9,11,12,13],[2,3,6,8,9,11,14],[2,3,7,8,9,10,13],[2,4,5,7,11,13,14],[2,4,7,9,11,12,14],[2,5,6,8,11,12,13],[2,5,6,9,10,12,13],[2,5,7,8,10,12,14],[3,4,5,7,8,10,12],[3,4,6,7,9,11,12],[3,4,6,10,12,13,14],[3,4,8,10,11,13,14],[3,5,6,7,9,13,14],[4,5,6,8,9,10,11]]; G[9620]:=Group([(1,13)(2,14)(5,10)(7,12)(9,11)]); # Design 9621: autom. group order 2, simple, residual B[9621]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,12,14],[1,3,5,7,9,13,14],[1,3,5,8,10,13,14],[1,4,5,10,11,12,13],[1,4,6,9,11,13,14],[1,5,7,8,11,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,6,7,12,13,14],[2,3,8,9,11,12,13],[2,4,5,7,9,11,13],[2,4,7,8,10,13,14],[2,5,6,8,11,13,14],[2,5,6,9,10,11,14],[2,5,7,8,9,10,12],[3,4,5,6,8,11,12],[3,4,6,8,9,10,13],[3,4,7,8,10,11,14],[3,4,7,9,11,12,14],[3,5,6,9,10,12,14],[4,5,6,7,10,12,13]]; G[9621]:=Group([(2,3)(4,5)(6,7)(8,9)(12,13)]); # Design 9622: autom. group order 2, simple, residual B[9622]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,12,13,14],[1,2,4,6,8,11,12],[1,2,4,9,10,13,14],[1,3,5,7,9,11,13],[1,3,5,8,10,12,14],[1,4,5,10,11,12,13],[1,4,6,9,11,13,14],[1,5,7,8,11,12,14],[1,6,7,8,9,10,14],[1,6,7,8,9,12,13],[2,3,6,7,12,13,14],[2,3,8,9,11,12,13],[2,4,5,7,9,12,14],[2,4,7,8,10,11,14],[2,5,6,8,11,13,14],[2,5,6,9,10,11,12],[2,5,7,8,9,10,13],[3,4,5,6,8,13,14],[3,4,6,8,9,10,12],[3,4,7,8,10,11,13],[3,4,7,9,11,12,14],[3,5,6,9,10,11,14],[4,5,6,7,10,12,13]]; G[9622]:=Group([(2,3)(4,5)(6,7)(8,9)(12,13)]); # Design 9623: autom. group order 2, simple, residual B[9623]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,13,14],[1,3,5,7,9,13,14],[1,3,5,8,10,12,14],[1,4,5,10,11,12,13],[1,4,6,9,11,12,14],[1,5,7,8,11,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,6,7,12,13,14],[2,3,8,9,11,12,13],[2,4,5,7,9,11,12],[2,4,7,8,11,13,14],[2,5,6,8,10,11,14],[2,5,6,9,10,13,14],[2,5,7,8,9,10,12],[3,4,5,6,8,11,13],[3,4,6,8,9,10,13],[3,4,7,8,10,12,14],[3,4,7,9,10,11,14],[3,5,6,9,11,12,14],[4,5,6,7,10,12,13]]; G[9623]:=Group([(2,3)(4,5)(6,7)(8,9)(12,13)]); # Design 9624: autom. group order 2, simple, residual B[9624]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,13,14],[1,3,5,7,9,13,14],[1,3,5,8,10,12,14],[1,4,5,11,12,13,14],[1,4,6,9,10,11,12],[1,5,7,8,10,11,13],[1,6,7,8,9,11,14],[1,6,7,8,9,12,13],[2,3,6,7,12,13,14],[2,3,8,9,11,12,13],[2,4,5,7,9,11,12],[2,4,7,8,10,13,14],[2,5,6,8,10,11,14],[2,5,6,9,11,13,14],[2,5,7,8,9,10,12],[3,4,5,6,8,11,13],[3,4,6,8,9,10,13],[3,4,7,8,11,12,14],[3,4,7,9,10,11,14],[3,5,6,9,10,12,14],[4,5,6,7,10,12,13]]; G[9624]:=Group([(2,3)(4,5)(6,7)(8,9)(12,13)]); # Design 9625: autom. group order 2, simple, residual B[9625]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,13,14],[1,3,5,7,9,13,14],[1,3,5,8,10,12,14],[1,4,5,11,12,13,14],[1,4,6,9,10,11,12],[1,5,7,8,10,11,13],[1,6,7,8,9,11,14],[1,6,7,8,9,12,13],[2,3,6,7,12,13,14],[2,3,8,9,11,12,13],[2,4,5,7,9,11,12],[2,4,7,8,11,13,14],[2,5,6,8,10,11,14],[2,5,6,9,10,13,14],[2,5,7,8,9,10,12],[3,4,5,6,8,11,13],[3,4,6,8,9,10,13],[3,4,7,8,10,12,14],[3,4,7,9,10,11,14],[3,5,6,9,11,12,14],[4,5,6,7,10,12,13]]; G[9625]:=Group([(2,3)(4,5)(6,7)(8,9)(12,13)]); # Design 9626: autom. group order 2, simple, residual B[9626]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,13,14],[1,3,5,7,9,12,14],[1,3,5,8,11,13,14],[1,4,5,10,11,12,14],[1,4,6,9,11,12,13],[1,5,7,8,10,12,13],[1,6,7,8,9,10,11],[1,6,7,8,9,13,14],[2,3,6,7,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,9,10,13],[2,4,7,8,11,12,14],[2,5,6,8,10,12,13],[2,5,6,9,11,13,14],[2,5,7,8,9,11,12],[3,4,5,6,8,11,13],[3,4,6,8,9,10,12],[3,4,7,8,10,13,14],[3,4,7,9,11,12,13],[3,5,6,9,10,12,14],[4,5,6,7,10,11,14]]; G[9626]:=Group([(2,3)(4,5)(6,7)(8,9)(10,11)]); # Design 9627: autom. group order 2, simple, residual B[9627]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,13,14],[1,3,5,7,9,13,14],[1,3,5,8,11,12,14],[1,4,5,10,11,12,13],[1,4,6,9,11,12,14],[1,5,7,8,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,6,7,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,9,10,12],[2,4,7,8,11,13,14],[2,5,6,8,10,12,13],[2,5,6,9,11,13,14],[2,5,7,8,9,11,12],[3,4,5,6,8,11,13],[3,4,6,8,9,10,13],[3,4,7,8,10,12,14],[3,4,7,9,11,12,13],[3,5,6,9,10,12,14],[4,5,6,7,10,11,14]]; G[9627]:=Group([(2,3)(4,5)(6,7)(8,9)(10,11)(12,13)]); # Design 9628: autom. group order 2, simple B[9628]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,12,13,14],[1,2,4,6,8,12,13],[1,2,4,9,11,12,14],[1,3,5,7,9,12,14],[1,3,5,8,11,12,13],[1,4,5,10,11,13,14],[1,4,6,9,10,11,13],[1,5,7,8,10,11,14],[1,6,7,8,9,10,12],[1,6,7,8,9,13,14],[2,3,6,7,11,13,14],[2,3,8,9,10,13,14],[2,4,5,7,9,10,13],[2,4,7,8,10,12,14],[2,5,6,8,10,11,12],[2,5,6,9,11,12,14],[2,5,7,8,9,11,13],[3,4,5,6,8,10,14],[3,4,6,8,9,11,14],[3,4,7,8,11,12,13],[3,4,7,9,10,11,12],[3,5,6,9,10,12,13],[4,5,6,7,12,13,14]]; G[9628]:=Group([(2,3)(4,5)(6,7)(8,9)(13,14)]); # Design 9629: autom. group order 2, simple B[9629]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,12,13,14],[1,2,4,6,8,12,13],[1,2,4,9,11,12,14],[1,3,5,7,9,12,14],[1,3,5,8,11,12,13],[1,4,5,10,11,13,14],[1,4,6,9,10,11,13],[1,5,7,8,10,11,14],[1,6,7,8,9,10,12],[1,6,7,8,9,13,14],[2,3,6,7,11,13,14],[2,3,8,9,10,13,14],[2,4,5,7,9,10,13],[2,4,7,8,11,12,14],[2,5,6,8,10,11,12],[2,5,6,9,10,12,14],[2,5,7,8,9,11,13],[3,4,5,6,8,10,14],[3,4,6,8,9,11,14],[3,4,7,8,10,12,13],[3,4,7,9,10,11,12],[3,5,6,9,11,12,13],[4,5,6,7,12,13,14]]; G[9629]:=Group([(2,3)(4,5)(6,7)(8,9)(13,14)]); # Design 9630: autom. group order 2, simple B[9630]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,12,13,14],[1,2,4,6,8,12,13],[1,2,4,9,11,12,13],[1,3,5,7,9,12,14],[1,3,5,8,11,12,14],[1,4,5,10,11,13,14],[1,4,6,9,10,11,14],[1,5,7,8,10,11,13],[1,6,7,8,9,10,12],[1,6,7,8,9,13,14],[2,3,6,7,11,13,14],[2,3,8,9,10,13,14],[2,4,5,7,9,10,14],[2,4,7,8,11,12,14],[2,5,6,8,10,12,14],[2,5,6,9,10,11,12],[2,5,7,8,9,11,13],[3,4,5,6,8,10,13],[3,4,6,8,9,11,14],[3,4,7,8,10,11,12],[3,4,7,9,10,12,13],[3,5,6,9,11,12,13],[4,5,6,7,12,13,14]]; G[9630]:=Group([(2,3)(4,5)(6,7)(8,9)(13,14)]); # Design 9631: autom. group order 2, simple, residual B[9631]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,12,14],[1,3,5,7,9,13,14],[1,3,5,8,10,13,14],[1,4,5,10,11,12,13],[1,4,6,9,11,13,14],[1,5,7,8,11,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,6,7,12,13,14],[2,3,8,9,11,12,13],[2,4,5,7,8,11,13],[2,4,7,8,9,10,13],[2,5,6,8,10,11,14],[2,5,6,9,10,13,14],[2,5,7,9,11,12,14],[3,4,5,6,9,11,12],[3,4,6,8,11,13,14],[3,4,7,8,10,12,14],[3,4,7,9,10,11,14],[3,5,6,8,9,10,12],[4,5,6,7,10,12,13]]; G[9631]:=Group([(2,3)(4,5)(6,7)(8,9)(12,13)]); # Design 9632: autom. group order 2, simple, residual B[9632]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,13,14],[1,3,5,7,9,13,14],[1,3,5,8,10,12,14],[1,4,5,10,11,12,13],[1,4,6,9,11,12,14],[1,5,7,8,11,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,6,7,12,13,14],[2,3,8,9,11,12,13],[2,4,5,7,8,11,12],[2,4,7,8,9,10,13],[2,5,6,8,10,13,14],[2,5,6,9,10,11,14],[2,5,7,9,11,12,14],[3,4,5,6,9,11,13],[3,4,6,8,11,13,14],[3,4,7,8,10,11,14],[3,4,7,9,10,12,14],[3,5,6,8,9,10,12],[4,5,6,7,10,12,13]]; G[9632]:=Group([(2,3)(4,5)(6,7)(8,9)(12,13)]); # Design 9633: autom. group order 2, simple, residual B[9633]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,12,14],[1,3,5,7,9,13,14],[1,3,5,8,10,13,14],[1,4,5,10,11,12,13],[1,4,6,9,11,13,14],[1,5,7,8,11,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,6,7,12,13,14],[2,3,8,9,11,12,13],[2,4,5,7,8,11,13],[2,4,7,8,9,10,13],[2,5,6,8,10,11,14],[2,5,6,9,11,13,14],[2,5,7,9,10,12,14],[3,4,5,6,9,11,12],[3,4,6,8,10,13,14],[3,4,7,8,11,12,14],[3,4,7,9,10,11,14],[3,5,6,8,9,10,12],[4,5,6,7,10,12,13]]; G[9633]:=Group([(2,3)(4,5)(6,7)(8,9)(12,13)]); # Design 9634: autom. group order 2, simple, residual B[9634]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,12,13,14],[1,2,4,6,8,11,12],[1,2,4,9,10,12,13],[1,3,5,7,9,11,14],[1,3,5,8,10,13,14],[1,4,5,10,11,12,14],[1,4,6,9,11,13,14],[1,5,7,8,11,12,13],[1,6,7,8,9,10,13],[1,6,7,8,9,12,14],[2,3,6,7,12,13,14],[2,3,8,9,11,12,14],[2,4,5,7,8,13,14],[2,4,7,8,9,10,14],[2,5,6,8,10,11,13],[2,5,6,9,11,13,14],[2,5,7,9,10,11,12],[3,4,5,6,9,12,13],[3,4,6,8,10,11,14],[3,4,7,8,11,12,13],[3,4,7,9,10,11,13],[3,5,6,8,9,10,12],[4,5,6,7,10,12,14]]; G[9634]:=Group([(2,3)(4,5)(6,7)(8,9)(12,14)]); # Design 9635: autom. group order 2, simple, residual B[9635]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,13,14],[1,3,5,7,9,13,14],[1,3,5,8,10,12,14],[1,4,5,11,12,13,14],[1,4,6,9,10,11,12],[1,5,7,8,10,11,13],[1,6,7,8,9,11,14],[1,6,7,8,9,12,13],[2,3,6,7,12,13,14],[2,3,8,9,11,12,13],[2,4,5,7,8,11,12],[2,4,7,8,9,10,13],[2,5,6,8,10,13,14],[2,5,6,9,10,11,14],[2,5,7,9,11,12,14],[3,4,5,6,9,11,13],[3,4,6,8,11,13,14],[3,4,7,8,10,11,14],[3,4,7,9,10,12,14],[3,5,6,8,9,10,12],[4,5,6,7,10,12,13]]; G[9635]:=Group([(2,3)(4,5)(6,7)(8,9)(12,13)]); # Design 9636: autom. group order 2, simple, residual B[9636]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,13,14],[1,3,5,7,9,13,14],[1,3,5,8,11,12,14],[1,4,5,10,11,12,13],[1,4,6,9,11,12,14],[1,5,7,8,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,6,7,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,8,10,12],[2,4,7,8,9,11,13],[2,5,6,8,11,13,14],[2,5,6,9,10,12,13],[2,5,7,9,11,12,14],[3,4,5,6,9,11,13],[3,4,6,8,10,13,14],[3,4,7,8,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,9,10,12],[4,5,6,7,10,11,14]]; G[9636]:=Group([(2,3)(4,5)(6,7)(8,9)(10,11)(12,13)]); # Design 9637: autom. group order 2, simple B[9637]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,12,13,14],[1,2,4,6,8,12,13],[1,2,4,9,11,12,14],[1,3,5,7,9,12,14],[1,3,5,8,11,12,13],[1,4,5,10,11,13,14],[1,4,6,9,10,11,13],[1,5,7,8,10,11,14],[1,6,7,8,9,10,12],[1,6,7,8,9,13,14],[2,3,6,7,11,13,14],[2,3,8,9,10,13,14],[2,4,5,7,8,10,13],[2,4,7,8,9,11,14],[2,5,6,8,11,12,14],[2,5,6,9,10,11,12],[2,5,7,9,10,12,13],[3,4,5,6,9,10,14],[3,4,6,8,10,12,14],[3,4,7,8,10,11,12],[3,4,7,9,11,12,13],[3,5,6,8,9,11,13],[4,5,6,7,12,13,14]]; G[9637]:=Group([(2,3)(4,5)(6,7)(8,9)(13,14)]); # Design 9638: autom. group order 2, simple B[9638]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,12,13,14],[1,2,4,6,8,12,13],[1,2,4,9,11,12,14],[1,3,5,7,9,12,14],[1,3,5,8,11,12,13],[1,4,5,10,11,13,14],[1,4,6,9,10,11,14],[1,5,7,8,10,11,13],[1,6,7,8,9,10,12],[1,6,7,8,9,13,14],[2,3,6,7,11,13,14],[2,3,8,9,10,13,14],[2,4,5,7,8,10,14],[2,4,7,8,9,11,13],[2,5,6,8,11,12,14],[2,5,6,9,10,12,13],[2,5,7,9,10,11,12],[3,4,5,6,9,10,13],[3,4,6,8,10,11,12],[3,4,7,8,10,12,14],[3,4,7,9,11,12,13],[3,5,6,8,9,11,14],[4,5,6,7,12,13,14]]; G[9638]:=Group([(2,3)(4,5)(6,7)(8,9)(13,14)]); # Design 9639: autom. group order 2, simple, residual B[9639]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,12,13,14],[1,2,4,6,8,11,12],[1,2,4,9,10,13,14],[1,3,5,7,9,11,13],[1,3,5,8,10,12,14],[1,4,5,10,11,12,13],[1,4,6,8,11,13,14],[1,5,7,9,11,12,14],[1,6,7,8,9,10,14],[1,6,7,8,9,12,13],[2,3,6,7,12,13,14],[2,3,8,9,11,12,13],[2,4,5,7,8,12,14],[2,4,7,9,10,11,14],[2,5,6,8,9,10,13],[2,5,6,9,10,11,12],[2,5,7,8,11,13,14],[3,4,5,6,9,13,14],[3,4,6,9,11,12,14],[3,4,7,8,9,10,12],[3,4,7,8,10,11,13],[3,5,6,8,10,11,14],[4,5,6,7,10,12,13]]; G[9639]:=Group([(2,3)(4,5)(6,7)(8,9)(12,13)]); # Design 9640: autom. group order 2, simple, residual B[9640]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,12,13,14],[1,2,4,6,8,11,12],[1,2,4,9,10,13,14],[1,3,5,7,9,11,13],[1,3,5,8,10,12,14],[1,4,5,10,11,12,13],[1,4,6,8,11,13,14],[1,5,7,9,11,12,14],[1,6,7,8,9,10,14],[1,6,7,8,9,12,13],[2,3,6,7,12,13,14],[2,3,8,9,11,12,13],[2,4,5,7,8,12,14],[2,4,7,9,10,11,14],[2,5,6,8,9,10,13],[2,5,6,9,11,12,14],[2,5,7,8,10,11,13],[3,4,5,6,9,13,14],[3,4,6,9,10,11,12],[3,4,7,8,9,10,12],[3,4,7,8,11,13,14],[3,5,6,8,10,11,14],[4,5,6,7,10,12,13]]; G[9640]:=Group([(2,3)(4,5)(6,7)(8,9)(12,13)]); # Design 9641: autom. group order 2, simple, residual B[9641]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,12,13,14],[1,2,4,6,8,11,12],[1,2,4,9,10,13,14],[1,3,5,7,9,11,13],[1,3,5,8,10,12,14],[1,4,5,10,11,12,13],[1,4,6,8,11,13,14],[1,5,7,9,11,12,14],[1,6,7,8,9,10,14],[1,6,7,8,9,12,13],[2,3,6,7,12,13,14],[2,3,8,9,11,12,13],[2,4,5,7,8,13,14],[2,4,7,9,11,12,14],[2,5,6,8,9,10,12],[2,5,6,9,10,11,13],[2,5,7,8,10,11,14],[3,4,5,6,9,12,14],[3,4,6,9,10,11,14],[3,4,7,8,9,10,13],[3,4,7,8,10,11,12],[3,5,6,8,11,13,14],[4,5,6,7,10,12,13]]; G[9641]:=Group([(2,3)(4,5)(6,7)(8,9)(12,13)]); # Design 9642: autom. group order 2, simple, residual B[9642]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,13,14],[1,3,5,7,8,13,14],[1,3,5,9,11,12,14],[1,4,5,10,11,12,13],[1,4,6,8,9,11,12],[1,5,7,8,9,10,13],[1,6,7,8,10,11,14],[1,6,7,9,12,13,14],[2,3,6,7,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,10,12,14],[2,4,7,9,11,13,14],[2,5,6,8,9,11,13],[2,5,6,8,10,12,13],[2,5,7,8,11,12,14],[3,4,5,6,11,13,14],[3,4,6,8,10,13,14],[3,4,7,8,9,10,12],[3,4,7,8,11,12,13],[3,5,6,9,10,12,14],[4,5,6,7,9,10,11]]; G[9642]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9643: autom. group order 2, simple, residual B[9643]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,12,14],[1,3,5,7,8,13,14],[1,3,5,9,11,13,14],[1,4,5,10,11,12,13],[1,4,6,8,9,11,13],[1,5,7,8,9,10,12],[1,6,7,8,10,11,14],[1,6,7,9,12,13,14],[2,3,6,7,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,10,13,14],[2,4,7,9,11,13,14],[2,5,6,8,10,13,14],[2,5,6,8,11,12,13],[2,5,7,8,9,11,12],[3,4,5,6,11,12,14],[3,4,6,8,9,10,13],[3,4,7,8,10,12,13],[3,4,7,8,11,12,14],[3,5,6,9,10,12,14],[4,5,6,7,9,10,11]]; G[9643]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9644: autom. group order 2, simple, residual B[9644]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,13,14],[1,3,5,7,8,13,14],[1,3,5,9,11,12,14],[1,4,5,10,11,12,13],[1,4,6,8,9,11,12],[1,5,7,8,9,10,13],[1,6,7,8,10,11,14],[1,6,7,9,12,13,14],[2,3,6,7,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,10,12,14],[2,4,7,9,11,13,14],[2,5,6,8,10,12,13],[2,5,6,8,11,13,14],[2,5,7,8,9,11,12],[3,4,5,6,11,13,14],[3,4,6,8,9,10,13],[3,4,7,8,10,12,14],[3,4,7,8,11,12,13],[3,5,6,9,10,12,14],[4,5,6,7,9,10,11]]; G[9644]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9645: autom. group order 2, simple, residual B[9645]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,12,14],[1,3,5,7,8,13,14],[1,3,5,9,10,13,14],[1,4,5,9,11,12,13],[1,4,6,8,10,11,13],[1,5,7,8,10,11,12],[1,6,7,8,9,11,14],[1,6,7,9,12,13,14],[2,3,6,7,9,12,13],[2,3,8,11,12,13,14],[2,4,5,7,11,13,14],[2,4,7,8,9,10,13],[2,5,6,8,10,13,14],[2,5,6,9,10,11,14],[2,5,7,8,9,11,12],[3,4,5,6,11,12,14],[3,4,6,8,9,11,13],[3,4,7,8,10,12,14],[3,4,7,9,10,11,14],[3,5,6,8,9,10,12],[4,5,6,7,10,12,13]]; G[9645]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 9646: autom. group order 2, simple, residual B[9646]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,13,14],[1,3,5,7,8,13,14],[1,3,5,9,10,12,14],[1,4,5,9,11,12,13],[1,4,6,8,10,11,12],[1,5,7,8,10,11,13],[1,6,7,8,9,11,14],[1,6,7,9,12,13,14],[2,3,6,7,9,12,13],[2,3,8,11,12,13,14],[2,4,5,7,11,12,14],[2,4,7,8,9,10,13],[2,5,6,8,10,13,14],[2,5,6,9,10,11,14],[2,5,7,8,9,11,12],[3,4,5,6,11,13,14],[3,4,6,8,9,11,13],[3,4,7,8,10,12,14],[3,4,7,9,10,11,14],[3,5,6,8,9,10,12],[4,5,6,7,10,12,13]]; G[9646]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 9647: autom. group order 2, simple, residual B[9647]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,13,14],[1,3,5,7,8,13,14],[1,3,5,9,10,12,14],[1,4,5,9,11,12,13],[1,4,6,8,10,11,12],[1,5,7,8,10,11,13],[1,6,7,8,9,11,14],[1,6,7,9,12,13,14],[2,3,6,7,9,12,13],[2,3,8,11,12,13,14],[2,4,5,7,11,12,14],[2,4,7,8,9,11,13],[2,5,6,8,10,13,14],[2,5,6,9,10,11,14],[2,5,7,8,9,10,12],[3,4,5,6,11,13,14],[3,4,6,8,9,10,13],[3,4,7,8,10,12,14],[3,4,7,9,10,11,14],[3,5,6,8,9,11,12],[4,5,6,7,10,12,13]]; G[9647]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 9648: autom. group order 2, simple, residual B[9648]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,13,14],[1,3,5,7,8,13,14],[1,3,5,9,11,12,14],[1,4,5,10,11,12,13],[1,4,6,8,9,11,12],[1,5,7,8,9,10,13],[1,6,7,8,10,11,14],[1,6,7,9,12,13,14],[2,3,6,7,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,10,12,14],[2,4,7,8,9,11,13],[2,5,6,8,10,12,13],[2,5,6,9,11,13,14],[2,5,7,8,11,12,14],[3,4,5,6,11,13,14],[3,4,6,8,10,13,14],[3,4,7,8,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,9,10,12],[4,5,6,7,9,10,11]]; G[9648]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9649: autom. group order 2, simple, residual B[9649]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,13,14],[1,3,5,7,8,13,14],[1,3,5,9,11,12,14],[1,4,5,10,11,12,13],[1,4,6,8,9,11,13],[1,5,7,8,9,10,12],[1,6,7,8,10,11,14],[1,6,7,9,12,13,14],[2,3,6,7,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,10,12,14],[2,4,7,8,11,12,13],[2,5,6,8,9,10,13],[2,5,6,9,11,12,14],[2,5,7,8,11,13,14],[3,4,5,6,11,13,14],[3,4,6,8,10,12,14],[3,4,7,8,9,11,12],[3,4,7,9,10,13,14],[3,5,6,8,10,12,13],[4,5,6,7,9,10,11]]; G[9649]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9650: autom. group order 2, simple, residual B[9650]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,13,14],[1,3,5,7,8,13,14],[1,3,5,9,11,12,14],[1,4,5,10,11,12,13],[1,4,6,8,9,11,13],[1,5,7,8,9,10,12],[1,6,7,8,10,11,14],[1,6,7,9,12,13,14],[2,3,6,7,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,10,13,14],[2,4,7,8,11,12,14],[2,5,6,8,9,10,12],[2,5,6,9,11,13,14],[2,5,7,8,11,12,13],[3,4,5,6,11,12,14],[3,4,6,8,10,12,13],[3,4,7,8,9,11,13],[3,4,7,9,10,12,14],[3,5,6,8,10,13,14],[4,5,6,7,9,10,11]]; G[9650]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9651: autom. group order 2, simple, residual B[9651]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,13,14],[1,3,5,7,8,13,14],[1,3,5,9,11,12,14],[1,4,5,10,11,12,13],[1,4,6,8,9,11,12],[1,5,7,8,9,10,13],[1,6,7,8,10,11,14],[1,6,7,9,12,13,14],[2,3,6,7,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,10,12,14],[2,4,7,8,11,13,14],[2,5,6,8,10,12,13],[2,5,6,9,11,13,14],[2,5,7,8,9,11,12],[3,4,5,6,11,13,14],[3,4,6,8,9,10,13],[3,4,7,8,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,10,12,14],[4,5,6,7,9,10,11]]; G[9651]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9652: autom. group order 2, simple, residual B[9652]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,13,14],[1,3,5,7,8,13,14],[1,3,5,9,11,12,14],[1,4,5,10,11,12,13],[1,4,6,8,9,11,13],[1,5,7,8,9,10,12],[1,6,7,8,10,11,14],[1,6,7,9,12,13,14],[2,3,6,7,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,10,12,14],[2,4,7,8,11,12,13],[2,5,6,8,10,13,14],[2,5,6,9,11,12,14],[2,5,7,8,9,11,13],[3,4,5,6,11,13,14],[3,4,6,8,9,10,12],[3,4,7,8,11,12,14],[3,4,7,9,10,13,14],[3,5,6,8,10,12,13],[4,5,6,7,9,10,11]]; G[9652]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9653: autom. group order 2, simple, residual B[9653]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,13,14],[1,3,5,7,8,13,14],[1,3,5,9,10,12,14],[1,4,5,9,11,12,13],[1,4,6,8,10,11,13],[1,5,7,8,10,11,12],[1,6,7,8,9,11,14],[1,6,7,9,12,13,14],[2,3,6,7,9,12,13],[2,3,8,11,12,13,14],[2,4,5,7,11,13,14],[2,4,7,8,9,11,12],[2,5,6,8,9,10,12],[2,5,6,8,10,13,14],[2,5,7,9,10,11,14],[3,4,5,6,11,12,14],[3,4,6,9,10,11,14],[3,4,7,8,9,10,13],[3,4,7,8,10,12,14],[3,5,6,8,9,11,13],[4,5,6,7,10,12,13]]; G[9653]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 9654: autom. group order 2, simple, residual B[9654]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,12,14],[1,3,5,7,8,13,14],[1,3,5,9,11,13,14],[1,4,5,10,11,12,13],[1,4,6,8,9,11,13],[1,5,7,8,9,10,12],[1,6,7,8,10,11,14],[1,6,7,9,12,13,14],[2,3,6,7,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,10,13,14],[2,4,7,8,9,11,13],[2,5,6,8,10,13,14],[2,5,6,8,11,12,13],[2,5,7,9,11,12,14],[3,4,5,6,11,12,14],[3,4,6,9,10,13,14],[3,4,7,8,10,12,13],[3,4,7,8,11,12,14],[3,5,6,8,9,10,12],[4,5,6,7,9,10,11]]; G[9654]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9655: autom. group order 2, simple, residual B[9655]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,13,14],[1,3,5,7,8,13,14],[1,3,5,9,11,12,14],[1,4,5,10,11,12,13],[1,4,6,8,9,11,12],[1,5,7,8,9,10,13],[1,6,7,8,10,11,14],[1,6,7,9,12,13,14],[2,3,6,7,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,10,12,14],[2,4,7,8,9,11,13],[2,5,6,8,10,12,13],[2,5,6,8,11,13,14],[2,5,7,9,11,12,14],[3,4,5,6,11,13,14],[3,4,6,9,10,13,14],[3,4,7,8,10,12,14],[3,4,7,8,11,12,13],[3,5,6,8,9,10,12],[4,5,6,7,9,10,11]]; G[9655]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9656: autom. group order 2, simple, residual B[9656]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,13,14],[1,3,5,7,8,13,14],[1,3,5,9,11,12,14],[1,4,5,10,11,12,13],[1,4,6,8,9,11,13],[1,5,7,8,9,10,12],[1,6,7,8,10,11,14],[1,6,7,9,12,13,14],[2,3,6,7,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,10,12,14],[2,4,7,8,11,12,13],[2,5,6,8,9,10,13],[2,5,6,8,11,12,14],[2,5,7,9,11,13,14],[3,4,5,6,11,13,14],[3,4,6,9,10,12,14],[3,4,7,8,9,11,12],[3,4,7,8,10,13,14],[3,5,6,8,10,12,13],[4,5,6,7,9,10,11]]; G[9656]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9657: autom. group order 2, simple, residual B[9657]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,13,14],[1,3,5,7,8,13,14],[1,3,5,9,11,12,14],[1,4,5,10,11,12,13],[1,4,6,8,9,11,12],[1,5,7,8,9,10,13],[1,6,7,8,10,11,14],[1,6,7,9,12,13,14],[2,3,6,7,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,10,12,14],[2,4,7,8,11,13,14],[2,5,6,8,9,11,13],[2,5,6,8,10,12,13],[2,5,7,9,11,12,14],[3,4,5,6,11,13,14],[3,4,6,9,10,13,14],[3,4,7,8,9,10,12],[3,4,7,8,11,12,13],[3,5,6,8,10,12,14],[4,5,6,7,9,10,11]]; G[9657]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9658: autom. group order 2, simple, residual B[9658]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,13,14],[1,3,5,7,8,13,14],[1,3,5,9,11,12,14],[1,4,5,10,11,12,13],[1,4,6,8,9,11,13],[1,5,7,8,9,10,12],[1,6,7,8,10,11,14],[1,6,7,9,12,13,14],[2,3,6,7,9,12,13],[2,3,8,9,10,11,14],[2,4,5,7,10,12,14],[2,4,7,8,11,12,13],[2,5,6,8,9,11,12],[2,5,6,8,10,13,14],[2,5,7,9,11,13,14],[3,4,5,6,11,13,14],[3,4,6,9,10,12,14],[3,4,7,8,9,10,13],[3,4,7,8,11,12,14],[3,5,6,8,10,12,13],[4,5,6,7,9,10,11]]; G[9658]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9659: autom. group order 2, simple, residual B[9659]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,12,13,14],[1,2,4,6,8,12,13],[1,2,4,9,10,11,12],[1,3,5,7,8,13,14],[1,3,5,9,10,11,14],[1,4,5,8,10,12,14],[1,4,6,9,11,13,14],[1,5,7,9,11,12,13],[1,6,7,8,9,12,14],[1,6,7,8,10,11,13],[2,3,6,7,9,12,14],[2,3,8,11,12,13,14],[2,4,5,7,11,13,14],[2,4,7,8,9,11,14],[2,5,6,8,9,10,13],[2,5,6,9,10,13,14],[2,5,7,8,10,11,12],[3,4,5,6,11,12,13],[3,4,6,8,10,11,14],[3,4,7,8,9,10,13],[3,4,7,9,10,12,13],[3,5,6,8,9,11,12],[4,5,6,7,10,12,14]]; G[9659]:=Group([(2,3)(4,5)(6,7)(12,14)]); # Design 9660: autom. group order 2, simple, residual B[9660]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,12,13,14],[1,2,4,6,8,12,13],[1,2,4,9,10,11,14],[1,3,5,7,8,12,14],[1,3,5,9,10,11,13],[1,4,5,8,10,13,14],[1,4,6,9,11,12,13],[1,5,7,9,11,12,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,6,7,9,13,14],[2,3,8,11,12,13,14],[2,4,5,7,11,12,13],[2,4,7,8,9,11,14],[2,5,6,8,9,10,12],[2,5,6,9,10,12,14],[2,5,7,8,10,11,13],[3,4,5,6,11,12,14],[3,4,6,8,10,11,14],[3,4,7,8,9,10,12],[3,4,7,9,10,12,13],[3,5,6,8,9,11,13],[4,5,6,7,10,13,14]]; G[9660]:=Group([(2,3)(4,5)(6,7)(13,14)]); # Design 9661: autom. group order 2, simple, residual B[9661]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,12,13,14],[1,2,4,6,8,12,13],[1,2,4,9,10,11,14],[1,3,5,7,8,12,14],[1,3,5,9,10,11,13],[1,4,5,8,10,13,14],[1,4,6,9,11,12,14],[1,5,7,9,11,12,13],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,6,7,9,13,14],[2,3,8,11,12,13,14],[2,4,5,7,11,12,13],[2,4,7,8,9,10,12],[2,5,6,8,10,11,13],[2,5,6,9,10,12,14],[2,5,7,8,9,11,14],[3,4,5,6,11,12,14],[3,4,6,8,9,11,13],[3,4,7,8,10,11,14],[3,4,7,9,10,12,13],[3,5,6,8,9,10,12],[4,5,6,7,10,13,14]]; G[9661]:=Group([(2,3)(4,5)(6,7)(13,14)]); # Design 9662: autom. group order 2, simple, residual B[9662]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,12,13,14],[1,2,4,6,8,12,13],[1,2,4,9,10,11,14],[1,3,5,7,8,12,14],[1,3,5,9,10,11,13],[1,4,5,8,10,13,14],[1,4,6,9,11,12,14],[1,5,7,9,11,12,13],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,6,7,9,13,14],[2,3,8,11,12,13,14],[2,4,5,7,11,12,14],[2,4,7,8,9,11,13],[2,5,6,8,10,11,14],[2,5,6,9,10,12,13],[2,5,7,8,9,10,12],[3,4,5,6,11,12,13],[3,4,6,8,9,10,12],[3,4,7,8,10,11,13],[3,4,7,9,10,12,14],[3,5,6,8,9,11,14],[4,5,6,7,10,13,14]]; G[9662]:=Group([(2,3)(4,5)(6,7)(13,14)]); # Design 9663: autom. group order 2, simple, residual B[9663]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,12,13,14],[1,2,4,6,8,12,13],[1,2,4,9,10,11,14],[1,3,5,7,8,12,14],[1,3,5,9,10,11,13],[1,4,5,8,10,13,14],[1,4,6,9,11,12,14],[1,5,7,9,11,12,13],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,6,7,9,13,14],[2,3,8,11,12,13,14],[2,4,5,7,11,12,13],[2,4,7,8,9,10,12],[2,5,6,8,9,11,14],[2,5,6,8,10,11,13],[2,5,7,9,10,12,14],[3,4,5,6,11,12,14],[3,4,6,9,10,12,13],[3,4,7,8,9,11,13],[3,4,7,8,10,11,14],[3,5,6,8,9,10,12],[4,5,6,7,10,13,14]]; G[9663]:=Group([(2,3)(4,5)(6,7)(13,14)]); # Design 9664: autom. group order 2, simple B[9664]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,11,12,14],[1,3,5,7,11,12,14],[1,3,5,9,10,12,13],[1,4,5,10,11,13,14],[1,4,6,8,9,11,13],[1,5,7,8,9,10,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,6,7,9,13,14],[2,3,8,10,11,13,14],[2,4,5,7,8,10,13],[2,4,7,9,10,11,14],[2,5,6,8,9,11,12],[2,5,6,9,10,12,14],[2,5,7,8,11,12,13],[3,4,5,6,8,11,14],[3,4,6,8,10,12,14],[3,4,7,8,9,10,12],[3,4,7,9,11,12,13],[3,5,6,9,10,11,13],[4,5,6,7,12,13,14]]; G[9664]:=Group([(2,3)(4,5)(6,7)(10,11)(13,14)]); # Design 9665: autom. group order 2, simple, residual B[9665]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,4,6,9,12,14],[1,2,4,10,11,12,14],[1,3,5,7,9,13,14],[1,3,5,10,11,13,14],[1,4,5,9,10,12,13],[1,4,6,8,11,13,14],[1,5,7,8,11,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,6,7,12,13,14],[2,3,8,9,11,12,13],[2,4,5,7,8,11,13],[2,4,7,9,10,11,13],[2,5,6,8,9,10,14],[2,5,6,8,10,13,14],[2,5,7,9,11,12,14],[3,4,5,6,8,11,12],[3,4,6,9,11,13,14],[3,4,7,8,9,10,14],[3,4,7,8,10,12,14],[3,5,6,9,10,11,12],[4,5,6,7,10,12,13]]; G[9665]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 9666: autom. group order 2, simple, residual B[9666]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,4,6,9,12,14],[1,2,4,10,11,12,14],[1,3,5,7,9,13,14],[1,3,5,10,11,13,14],[1,4,5,9,10,12,13],[1,4,6,8,11,13,14],[1,5,7,8,11,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,6,7,12,13,14],[2,3,8,9,11,12,13],[2,4,5,7,8,11,13],[2,4,7,9,11,13,14],[2,5,6,8,9,10,14],[2,5,6,8,10,13,14],[2,5,7,9,10,11,12],[3,4,5,6,8,11,12],[3,4,6,9,10,11,13],[3,4,7,8,9,10,14],[3,4,7,8,10,12,14],[3,5,6,9,11,12,14],[4,5,6,7,10,12,13]]; G[9666]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 9667: autom. group order 2, simple, residual B[9667]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,4,6,9,12,14],[1,2,4,10,11,13,14],[1,3,5,7,9,13,14],[1,3,5,10,11,12,14],[1,4,5,9,10,12,13],[1,4,6,8,11,12,14],[1,5,7,8,11,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,6,7,12,13,14],[2,3,8,9,11,12,13],[2,4,5,7,8,11,12],[2,4,7,9,11,13,14],[2,5,6,8,9,10,14],[2,5,6,8,10,13,14],[2,5,7,9,10,11,12],[3,4,5,6,8,11,13],[3,4,6,9,10,11,13],[3,4,7,8,9,10,14],[3,4,7,8,10,12,14],[3,5,6,9,11,12,14],[4,5,6,7,10,12,13]]; G[9667]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 9668: autom. group order 2, simple B[9668]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,11,12,14],[1,3,5,7,11,12,14],[1,3,5,9,10,12,13],[1,4,5,10,11,13,14],[1,4,6,8,9,11,13],[1,5,7,8,9,10,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,6,7,9,13,14],[2,3,8,10,11,13,14],[2,4,5,7,8,11,13],[2,4,7,9,10,12,14],[2,5,6,8,9,10,12],[2,5,6,8,11,12,14],[2,5,7,9,10,11,13],[3,4,5,6,8,10,14],[3,4,6,9,10,11,14],[3,4,7,8,9,11,12],[3,4,7,8,10,12,13],[3,5,6,9,11,12,13],[4,5,6,7,12,13,14]]; G[9668]:=Group([(2,3)(4,5)(6,7)(10,11)(13,14)]); # Design 9669: autom. group order 2, simple B[9669]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,11,12,13],[1,3,5,7,11,12,14],[1,3,5,9,10,12,14],[1,4,5,10,11,13,14],[1,4,6,8,9,11,14],[1,5,7,8,9,10,13],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,6,7,9,13,14],[2,3,8,10,11,13,14],[2,4,5,7,8,11,14],[2,4,7,9,10,12,14],[2,5,6,8,9,11,12],[2,5,6,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,6,8,10,13],[3,4,6,9,10,11,14],[3,4,7,8,9,10,12],[3,4,7,8,11,12,13],[3,5,6,9,11,12,13],[4,5,6,7,12,13,14]]; G[9669]:=Group([(2,3)(4,5)(6,7)(10,11)(13,14)]); # Design 9670: autom. group order 2, simple, residual B[9670]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,4,6,9,12,14],[1,2,4,10,11,13,14],[1,3,5,7,9,13,14],[1,3,5,10,11,12,14],[1,4,5,9,10,12,13],[1,4,6,8,11,13,14],[1,5,7,8,11,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,6,7,12,13,14],[2,3,8,9,11,12,13],[2,4,5,7,8,11,12],[2,4,7,8,9,10,14],[2,5,6,9,10,11,12],[2,5,6,9,11,13,14],[2,5,7,8,10,13,14],[3,4,5,6,8,11,13],[3,4,6,8,10,12,14],[3,4,7,9,10,11,13],[3,4,7,9,11,12,14],[3,5,6,8,9,10,14],[4,5,6,7,10,12,13]]; G[9670]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 9671: autom. group order 2, simple, residual B[9671]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,4,6,9,12,14],[1,2,4,10,11,13,14],[1,3,5,7,9,13,14],[1,3,5,10,11,12,14],[1,4,5,9,10,12,13],[1,4,6,8,11,13,14],[1,5,7,8,11,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,6,7,12,13,14],[2,3,8,9,11,12,13],[2,4,5,7,8,11,13],[2,4,7,8,10,12,14],[2,5,6,9,10,11,12],[2,5,6,9,11,13,14],[2,5,7,8,9,10,14],[3,4,5,6,8,11,12],[3,4,6,8,9,10,14],[3,4,7,9,10,11,13],[3,4,7,9,11,12,14],[3,5,6,8,10,13,14],[4,5,6,7,10,12,13]]; G[9671]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 9672: autom. group order 2, simple B[9672]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,10,12,14],[1,3,5,7,11,12,14],[1,3,5,9,11,12,13],[1,4,5,10,11,13,14],[1,4,6,8,9,11,14],[1,5,7,8,9,10,13],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,6,7,9,13,14],[2,3,8,10,11,13,14],[2,4,5,7,8,11,14],[2,4,7,8,11,12,13],[2,5,6,9,10,11,14],[2,5,6,9,11,12,13],[2,5,7,8,9,10,12],[3,4,5,6,8,10,13],[3,4,6,8,9,11,12],[3,4,7,9,10,11,13],[3,4,7,9,10,12,14],[3,5,6,8,10,12,14],[4,5,6,7,12,13,14]]; G[9672]:=Group([(2,3)(4,5)(6,7)(10,11)(13,14)]); # Design 9673: autom. group order 2, simple, residual B[9673]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,4,6,9,12,14],[1,2,4,10,11,13,14],[1,3,5,7,9,13,14],[1,3,5,10,11,12,14],[1,4,5,9,10,12,13],[1,4,6,8,11,13,14],[1,5,7,8,11,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,6,7,12,13,14],[2,3,8,9,11,12,13],[2,4,5,7,8,11,12],[2,4,7,8,9,10,14],[2,5,6,8,10,13,14],[2,5,6,9,10,11,12],[2,5,7,9,11,13,14],[3,4,5,6,8,11,13],[3,4,6,9,11,12,14],[3,4,7,8,10,12,14],[3,4,7,9,10,11,13],[3,5,6,8,9,10,14],[4,5,6,7,10,12,13]]; G[9673]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 9674: autom. group order 2, simple, residual B[9674]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,4,6,9,12,14],[1,2,4,10,11,12,14],[1,3,5,7,9,13,14],[1,3,5,10,11,13,14],[1,4,5,9,10,12,13],[1,4,6,8,11,13,14],[1,5,7,8,11,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,6,7,12,13,14],[2,3,8,9,11,12,13],[2,4,5,7,8,11,13],[2,4,7,8,10,13,14],[2,5,6,8,9,10,14],[2,5,6,9,10,11,13],[2,5,7,9,11,12,14],[3,4,5,6,8,11,12],[3,4,6,9,11,13,14],[3,4,7,8,9,10,14],[3,4,7,9,10,11,12],[3,5,6,8,10,12,14],[4,5,6,7,10,12,13]]; G[9674]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 9675: autom. group order 2, simple, residual B[9675]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,4,6,9,12,14],[1,2,4,10,11,13,14],[1,3,5,7,9,13,14],[1,3,5,10,11,12,14],[1,4,5,9,10,12,13],[1,4,6,8,11,12,14],[1,5,7,8,11,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,6,7,12,13,14],[2,3,8,9,11,12,13],[2,4,5,7,8,11,12],[2,4,7,8,10,13,14],[2,5,6,8,9,10,14],[2,5,6,9,10,11,13],[2,5,7,9,11,12,14],[3,4,5,6,8,11,13],[3,4,6,9,11,13,14],[3,4,7,8,9,10,14],[3,4,7,9,10,11,12],[3,5,6,8,10,12,14],[4,5,6,7,10,12,13]]; G[9675]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 9676: autom. group order 2, simple B[9676]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,10,12,14],[1,3,5,7,11,12,14],[1,3,5,9,11,12,13],[1,4,5,10,11,13,14],[1,4,6,8,9,11,13],[1,5,7,8,9,10,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,6,7,9,13,14],[2,3,8,10,11,13,14],[2,4,5,7,8,11,13],[2,4,7,8,11,12,14],[2,5,6,8,9,11,12],[2,5,6,9,10,11,14],[2,5,7,9,10,12,13],[3,4,5,6,8,10,14],[3,4,6,9,11,12,14],[3,4,7,8,9,10,12],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[4,5,6,7,12,13,14]]; G[9676]:=Group([(2,3)(4,5)(6,7)(10,11)(13,14)]); # Design 9677: autom. group order 2, simple B[9677]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,11,12,14],[1,3,5,7,11,12,14],[1,3,5,9,10,12,13],[1,4,5,10,11,13,14],[1,4,6,8,9,11,13],[1,5,7,8,9,10,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,6,7,9,13,14],[2,3,8,10,11,13,14],[2,4,5,7,8,11,13],[2,4,7,8,10,12,14],[2,5,6,8,9,10,12],[2,5,6,9,11,12,14],[2,5,7,9,10,11,13],[3,4,5,6,8,10,14],[3,4,6,9,10,11,14],[3,4,7,8,9,11,12],[3,4,7,9,10,12,13],[3,5,6,8,11,12,13],[4,5,6,7,12,13,14]]; G[9677]:=Group([(2,3)(4,5)(6,7)(10,11)(13,14)]); # Design 9678: autom. group order 2, simple, residual B[9678]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,11,12,14],[1,3,5,7,11,12,13],[1,3,5,9,10,13,14],[1,4,5,8,9,10,11],[1,4,6,8,11,13,14],[1,5,7,8,10,12,14],[1,6,7,8,9,12,13],[1,6,7,9,10,11,14],[2,3,6,7,8,9,14],[2,3,9,10,11,12,13],[2,4,5,7,11,12,14],[2,4,7,9,10,13,14],[2,5,6,8,9,11,13],[2,5,6,8,10,12,14],[2,5,7,8,10,11,13],[3,4,5,6,10,13,14],[3,4,6,8,10,11,12],[3,4,7,8,9,10,12],[3,4,7,8,11,13,14],[3,5,6,9,11,12,14],[4,5,6,7,9,12,13]]; G[9678]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9679: autom. group order 2, simple, residual B[9679]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,11,12,14],[1,3,5,7,11,12,13],[1,3,5,9,10,13,14],[1,4,5,8,10,11,14],[1,4,6,8,9,11,13],[1,5,7,8,9,10,12],[1,6,7,8,12,13,14],[1,6,7,9,10,11,14],[2,3,6,7,8,9,14],[2,3,9,10,11,12,13],[2,4,5,7,11,12,14],[2,4,7,9,10,13,14],[2,5,6,8,9,11,13],[2,5,6,8,10,12,14],[2,5,7,8,10,11,13],[3,4,5,6,10,13,14],[3,4,6,8,10,11,12],[3,4,7,8,9,10,12],[3,4,7,8,11,13,14],[3,5,6,9,11,12,14],[4,5,6,7,9,12,13]]; G[9679]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9680: autom. group order 2, simple, residual B[9680]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,10,12,14],[1,3,5,7,11,12,13],[1,3,5,9,11,13,14],[1,4,5,8,10,11,14],[1,4,6,8,9,11,13],[1,5,7,8,9,10,12],[1,6,7,8,12,13,14],[1,6,7,9,10,11,14],[2,3,6,7,8,9,14],[2,3,9,10,11,12,13],[2,4,5,7,11,12,14],[2,4,7,9,11,13,14],[2,5,6,8,10,11,13],[2,5,6,8,11,12,14],[2,5,7,8,9,10,13],[3,4,5,6,10,13,14],[3,4,6,8,9,11,12],[3,4,7,8,10,11,12],[3,4,7,8,10,13,14],[3,5,6,9,10,12,14],[4,5,6,7,9,12,13]]; G[9680]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9681: autom. group order 2, simple, residual B[9681]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,11,12,14],[1,3,5,7,11,12,13],[1,3,5,9,10,13,14],[1,4,5,8,10,11,14],[1,4,6,8,9,10,13],[1,5,7,8,9,11,12],[1,6,7,8,12,13,14],[1,6,7,9,10,11,14],[2,3,6,7,8,9,14],[2,3,9,10,11,12,13],[2,4,5,7,10,12,14],[2,4,7,9,11,13,14],[2,5,6,8,10,11,12],[2,5,6,8,11,13,14],[2,5,7,8,9,10,13],[3,4,5,6,11,13,14],[3,4,6,8,9,11,12],[3,4,7,8,10,11,13],[3,4,7,8,10,12,14],[3,5,6,9,10,12,14],[4,5,6,7,9,12,13]]; G[9681]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9682: autom. group order 2, simple, residual B[9682]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,11,12,14],[1,3,5,7,11,12,13],[1,3,5,9,10,13,14],[1,4,5,8,9,10,11],[1,4,6,8,11,13,14],[1,5,7,8,10,12,14],[1,6,7,8,9,12,13],[1,6,7,9,10,11,14],[2,3,6,7,8,9,14],[2,3,9,10,11,12,13],[2,4,5,7,11,12,14],[2,4,7,8,9,10,13],[2,5,6,8,10,12,14],[2,5,6,9,11,13,14],[2,5,7,8,10,11,13],[3,4,5,6,10,13,14],[3,4,6,8,10,11,12],[3,4,7,8,11,13,14],[3,4,7,9,10,12,14],[3,5,6,8,9,11,12],[4,5,6,7,9,12,13]]; G[9682]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9683: autom. group order 2, simple, residual B[9683]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,11,12,14],[1,3,5,7,11,12,13],[1,3,5,9,10,13,14],[1,4,5,8,9,10,11],[1,4,6,8,11,13,14],[1,5,7,8,10,12,14],[1,6,7,8,9,12,13],[1,6,7,9,10,11,14],[2,3,6,7,8,9,14],[2,3,9,10,11,12,13],[2,4,5,7,11,12,14],[2,4,7,8,10,13,14],[2,5,6,8,9,10,12],[2,5,6,9,11,13,14],[2,5,7,8,10,11,13],[3,4,5,6,10,13,14],[3,4,6,8,10,11,12],[3,4,7,8,9,11,13],[3,4,7,9,10,12,14],[3,5,6,8,11,12,14],[4,5,6,7,9,12,13]]; G[9683]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9684: autom. group order 2, simple, residual B[9684]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,11,12,14],[1,3,5,7,11,12,13],[1,3,5,9,10,13,14],[1,4,5,8,9,10,11],[1,4,6,8,11,13,14],[1,5,7,8,10,12,14],[1,6,7,8,9,12,13],[1,6,7,9,10,11,14],[2,3,6,7,8,9,14],[2,3,9,10,11,12,13],[2,4,5,7,11,12,14],[2,4,7,8,10,13,14],[2,5,6,8,9,11,13],[2,5,6,9,10,12,14],[2,5,7,8,10,11,13],[3,4,5,6,10,13,14],[3,4,6,8,10,11,12],[3,4,7,8,9,10,12],[3,4,7,9,11,13,14],[3,5,6,8,11,12,14],[4,5,6,7,9,12,13]]; G[9684]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9685: autom. group order 2, simple, residual B[9685]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,11,12,14],[1,3,5,7,11,12,13],[1,3,5,9,10,13,14],[1,4,5,8,9,10,11],[1,4,6,8,10,13,14],[1,5,7,8,11,12,14],[1,6,7,8,9,12,13],[1,6,7,9,10,11,14],[2,3,6,7,8,9,14],[2,3,9,10,11,12,13],[2,4,5,7,10,12,14],[2,4,7,8,11,13,14],[2,5,6,8,10,11,12],[2,5,6,9,11,13,14],[2,5,7,8,9,10,13],[3,4,5,6,11,13,14],[3,4,6,8,9,11,12],[3,4,7,8,10,11,13],[3,4,7,9,10,12,14],[3,5,6,8,10,12,14],[4,5,6,7,9,12,13]]; G[9685]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9686: autom. group order 2, simple, residual B[9686]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,11,12,14],[1,3,5,7,11,12,13],[1,3,5,9,10,13,14],[1,4,5,8,9,10,11],[1,4,6,8,11,13,14],[1,5,7,8,10,12,14],[1,6,7,8,9,12,13],[1,6,7,9,10,11,14],[2,3,6,7,8,9,14],[2,3,9,10,11,12,13],[2,4,5,7,10,12,14],[2,4,7,8,10,11,13],[2,5,6,8,11,12,14],[2,5,6,9,10,13,14],[2,5,7,8,9,11,13],[3,4,5,6,11,13,14],[3,4,6,8,9,10,12],[3,4,7,8,10,13,14],[3,4,7,9,11,12,14],[3,5,6,8,10,11,12],[4,5,6,7,9,12,13]]; G[9686]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9687: autom. group order 2, simple, residual B[9687]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,11,12,14],[1,3,5,7,11,12,13],[1,3,5,9,10,13,14],[1,4,5,8,10,11,14],[1,4,6,8,9,11,13],[1,5,7,8,9,10,12],[1,6,7,8,12,13,14],[1,6,7,9,10,11,14],[2,3,6,7,8,9,14],[2,3,9,10,11,12,13],[2,4,5,7,11,12,14],[2,4,7,8,9,10,13],[2,5,6,8,10,12,14],[2,5,6,9,11,13,14],[2,5,7,8,10,11,13],[3,4,5,6,10,13,14],[3,4,6,8,10,11,12],[3,4,7,8,11,13,14],[3,4,7,9,10,12,14],[3,5,6,8,9,11,12],[4,5,6,7,9,12,13]]; G[9687]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9688: autom. group order 2, simple, residual B[9688]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,11,12,14],[1,3,5,7,11,12,13],[1,3,5,9,10,13,14],[1,4,5,8,10,11,14],[1,4,6,8,9,11,13],[1,5,7,8,9,10,12],[1,6,7,8,12,13,14],[1,6,7,9,10,11,14],[2,3,6,7,8,9,14],[2,3,9,10,11,12,13],[2,4,5,7,11,12,14],[2,4,7,8,10,13,14],[2,5,6,8,9,10,12],[2,5,6,9,11,13,14],[2,5,7,8,10,11,13],[3,4,5,6,10,13,14],[3,4,6,8,10,11,12],[3,4,7,8,9,11,13],[3,4,7,9,10,12,14],[3,5,6,8,11,12,14],[4,5,6,7,9,12,13]]; G[9688]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9689: autom. group order 2, simple, residual B[9689]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,11,12,14],[1,3,5,7,11,12,13],[1,3,5,9,10,13,14],[1,4,5,8,10,11,14],[1,4,6,8,9,11,13],[1,5,7,8,9,10,12],[1,6,7,8,12,13,14],[1,6,7,9,10,11,14],[2,3,6,7,8,9,14],[2,3,9,10,11,12,13],[2,4,5,7,11,12,14],[2,4,7,8,10,13,14],[2,5,6,8,9,11,13],[2,5,6,9,10,12,14],[2,5,7,8,10,11,13],[3,4,5,6,10,13,14],[3,4,6,8,10,11,12],[3,4,7,8,9,10,12],[3,4,7,9,11,13,14],[3,5,6,8,11,12,14],[4,5,6,7,9,12,13]]; G[9689]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9690: autom. group order 2, simple, residual B[9690]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,11,12,14],[1,3,5,7,11,12,13],[1,3,5,9,10,13,14],[1,4,5,8,10,11,14],[1,4,6,8,9,10,13],[1,5,7,8,9,11,12],[1,6,7,8,12,13,14],[1,6,7,9,10,11,14],[2,3,6,7,8,9,14],[2,3,9,10,11,12,13],[2,4,5,7,10,12,14],[2,4,7,8,11,13,14],[2,5,6,8,10,11,12],[2,5,6,9,11,13,14],[2,5,7,8,9,10,13],[3,4,5,6,11,13,14],[3,4,6,8,9,11,12],[3,4,7,8,10,11,13],[3,4,7,9,10,12,14],[3,5,6,8,10,12,14],[4,5,6,7,9,12,13]]; G[9690]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9691: autom. group order 2, simple, residual B[9691]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,11,12,14],[1,3,5,7,11,12,13],[1,3,5,9,10,13,14],[1,4,5,8,10,11,14],[1,4,6,8,9,11,13],[1,5,7,8,9,10,12],[1,6,7,8,12,13,14],[1,6,7,9,10,11,14],[2,3,6,7,8,9,14],[2,3,9,10,11,12,13],[2,4,5,7,10,12,14],[2,4,7,8,10,11,13],[2,5,6,8,11,12,14],[2,5,6,9,10,13,14],[2,5,7,8,9,11,13],[3,4,5,6,11,13,14],[3,4,6,8,9,10,12],[3,4,7,8,10,13,14],[3,4,7,9,11,12,14],[3,5,6,8,10,11,12],[4,5,6,7,9,12,13]]; G[9691]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9692: autom. group order 2, simple, residual B[9692]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,11,12,14],[1,3,5,7,11,12,13],[1,3,5,9,10,13,14],[1,4,5,8,9,10,11],[1,4,6,8,10,13,14],[1,5,7,8,11,12,14],[1,6,7,8,9,12,13],[1,6,7,9,10,11,14],[2,3,6,7,8,9,14],[2,3,9,10,11,12,13],[2,4,5,7,10,12,14],[2,4,7,8,11,13,14],[2,5,6,8,9,11,13],[2,5,6,8,10,11,12],[2,5,7,9,10,13,14],[3,4,5,6,11,13,14],[3,4,6,9,11,12,14],[3,4,7,8,9,10,12],[3,4,7,8,10,11,13],[3,5,6,8,10,12,14],[4,5,6,7,9,12,13]]; G[9692]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9693: autom. group order 2, simple, residual B[9693]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,11,12,14],[1,3,5,7,11,12,13],[1,3,5,9,10,13,14],[1,4,5,8,9,10,11],[1,4,6,8,11,13,14],[1,5,7,8,10,12,14],[1,6,7,8,9,12,13],[1,6,7,9,10,11,14],[2,3,6,7,8,9,14],[2,3,9,10,11,12,13],[2,4,5,7,10,12,14],[2,4,7,8,10,11,13],[2,5,6,8,9,10,13],[2,5,6,8,11,12,14],[2,5,7,9,11,13,14],[3,4,5,6,11,13,14],[3,4,6,9,10,12,14],[3,4,7,8,9,11,12],[3,4,7,8,10,13,14],[3,5,6,8,10,11,12],[4,5,6,7,9,12,13]]; G[9693]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9694: autom. group order 2, simple, residual B[9694]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,10,12,14],[1,3,5,7,11,12,13],[1,3,5,9,11,13,14],[1,4,5,8,10,11,14],[1,4,6,8,9,11,13],[1,5,7,8,9,10,12],[1,6,7,8,12,13,14],[1,6,7,9,10,11,14],[2,3,6,7,8,9,14],[2,3,9,10,11,12,13],[2,4,5,7,11,12,14],[2,4,7,8,9,11,13],[2,5,6,8,10,11,13],[2,5,6,8,11,12,14],[2,5,7,9,10,13,14],[3,4,5,6,10,13,14],[3,4,6,9,11,12,14],[3,4,7,8,10,11,12],[3,4,7,8,10,13,14],[3,5,6,8,9,10,12],[4,5,6,7,9,12,13]]; G[9694]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9695: autom. group order 2, simple, residual B[9695]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,11,12,14],[1,3,5,7,11,12,13],[1,3,5,9,10,13,14],[1,4,5,8,10,11,14],[1,4,6,8,9,10,13],[1,5,7,8,9,11,12],[1,6,7,8,12,13,14],[1,6,7,9,10,11,14],[2,3,6,7,8,9,14],[2,3,9,10,11,12,13],[2,4,5,7,10,12,14],[2,4,7,8,9,11,13],[2,5,6,8,10,11,12],[2,5,6,8,11,13,14],[2,5,7,9,10,13,14],[3,4,5,6,11,13,14],[3,4,6,9,11,12,14],[3,4,7,8,10,11,13],[3,4,7,8,10,12,14],[3,5,6,8,9,10,12],[4,5,6,7,9,12,13]]; G[9695]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9696: autom. group order 2, simple, residual B[9696]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,10,12,14],[1,3,5,7,11,12,13],[1,3,5,9,11,13,14],[1,4,5,8,10,11,14],[1,4,6,8,9,11,13],[1,5,7,8,9,10,12],[1,6,7,8,12,13,14],[1,6,7,9,10,11,14],[2,3,6,7,8,9,14],[2,3,9,10,11,12,13],[2,4,5,7,11,12,14],[2,4,7,8,11,13,14],[2,5,6,8,9,11,12],[2,5,6,8,10,11,13],[2,5,7,9,10,13,14],[3,4,5,6,10,13,14],[3,4,6,9,11,12,14],[3,4,7,8,9,10,13],[3,4,7,8,10,11,12],[3,5,6,8,10,12,14],[4,5,6,7,9,12,13]]; G[9696]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9697: autom. group order 2, simple, residual B[9697]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,11,12,14],[1,3,5,7,11,12,13],[1,3,5,9,10,13,14],[1,4,5,8,10,11,14],[1,4,6,8,9,11,13],[1,5,7,8,9,10,12],[1,6,7,8,12,13,14],[1,6,7,9,10,11,14],[2,3,6,7,8,9,14],[2,3,9,10,11,12,13],[2,4,5,7,10,12,14],[2,4,7,8,10,11,13],[2,5,6,8,9,10,13],[2,5,6,8,11,12,14],[2,5,7,9,11,13,14],[3,4,5,6,11,13,14],[3,4,6,9,10,12,14],[3,4,7,8,9,11,12],[3,4,7,8,10,13,14],[3,5,6,8,10,11,12],[4,5,6,7,9,12,13]]; G[9697]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9698: autom. group order 2, simple, residual B[9698]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,10,12,14],[1,3,5,7,11,12,13],[1,3,5,9,11,13,14],[1,4,5,8,10,11,14],[1,4,6,8,9,11,13],[1,5,7,8,9,10,12],[1,6,7,8,10,11,14],[1,6,7,9,12,13,14],[2,3,6,7,8,9,14],[2,3,8,10,11,12,13],[2,4,5,7,11,12,14],[2,4,7,9,11,13,14],[2,5,6,8,9,11,12],[2,5,6,9,10,11,13],[2,5,7,8,10,13,14],[3,4,5,6,10,13,14],[3,4,6,8,11,12,14],[3,4,7,8,9,10,13],[3,4,7,9,10,11,12],[3,5,6,9,10,12,14],[4,5,6,7,8,12,13]]; G[9698]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9699: autom. group order 2, simple, residual B[9699]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,11,12,14],[1,3,5,7,11,12,13],[1,3,5,9,10,13,14],[1,4,5,8,10,11,14],[1,4,6,8,9,11,13],[1,5,7,8,9,10,12],[1,6,7,8,10,11,14],[1,6,7,9,12,13,14],[2,3,6,7,8,9,14],[2,3,8,10,11,12,13],[2,4,5,7,10,12,14],[2,4,7,9,10,11,13],[2,5,6,8,9,11,12],[2,5,6,9,10,13,14],[2,5,7,8,11,13,14],[3,4,5,6,11,13,14],[3,4,6,8,10,12,14],[3,4,7,8,9,10,13],[3,4,7,9,11,12,14],[3,5,6,9,10,11,12],[4,5,6,7,8,12,13]]; G[9699]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9700: autom. group order 2, simple, residual B[9700]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,10,12,14],[1,3,5,7,11,12,13],[1,3,5,9,11,13,14],[1,4,5,8,10,11,14],[1,4,6,8,9,11,13],[1,5,7,8,9,10,12],[1,6,7,8,10,11,14],[1,6,7,9,12,13,14],[2,3,6,7,8,9,14],[2,3,8,10,11,12,13],[2,4,5,7,11,12,14],[2,4,7,9,11,13,14],[2,5,6,8,11,12,14],[2,5,6,9,10,11,13],[2,5,7,8,9,10,13],[3,4,5,6,10,13,14],[3,4,6,8,9,11,12],[3,4,7,8,10,13,14],[3,4,7,9,10,11,12],[3,5,6,9,10,12,14],[4,5,6,7,8,12,13]]; G[9700]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9701: autom. group order 2, simple, residual B[9701]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,11,12,14],[1,3,5,7,11,12,13],[1,3,5,9,10,13,14],[1,4,5,8,10,11,14],[1,4,6,8,9,11,13],[1,5,7,8,9,10,12],[1,6,7,8,10,11,14],[1,6,7,9,12,13,14],[2,3,6,7,8,9,14],[2,3,8,10,11,12,13],[2,4,5,7,10,12,14],[2,4,7,9,10,11,13],[2,5,6,8,11,12,14],[2,5,6,9,10,13,14],[2,5,7,8,9,11,13],[3,4,5,6,11,13,14],[3,4,6,8,9,10,12],[3,4,7,8,10,13,14],[3,4,7,9,11,12,14],[3,5,6,9,10,11,12],[4,5,6,7,8,12,13]]; G[9701]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9702: autom. group order 2, simple, residual B[9702]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,11,12,14],[1,3,5,7,11,12,13],[1,3,5,9,10,13,14],[1,4,5,8,10,11,14],[1,4,6,8,9,11,13],[1,5,7,8,9,10,12],[1,6,7,8,10,11,14],[1,6,7,9,12,13,14],[2,3,6,7,8,9,14],[2,3,8,10,11,12,13],[2,4,5,7,10,12,14],[2,4,7,9,10,11,13],[2,5,6,8,9,10,13],[2,5,6,8,11,12,14],[2,5,7,9,11,13,14],[3,4,5,6,11,13,14],[3,4,6,9,10,12,14],[3,4,7,8,9,11,12],[3,4,7,8,10,13,14],[3,5,6,9,10,11,12],[4,5,6,7,8,12,13]]; G[9702]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9703: autom. group order 2, simple, residual B[9703]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,11,12,14],[1,3,5,7,11,12,13],[1,3,5,9,10,13,14],[1,4,5,8,10,11,14],[1,4,6,8,9,11,13],[1,5,7,8,9,10,12],[1,6,7,8,10,11,14],[1,6,7,9,12,13,14],[2,3,6,7,8,9,14],[2,3,8,10,11,12,13],[2,4,5,7,10,12,14],[2,4,7,9,10,11,13],[2,5,6,8,9,11,12],[2,5,6,8,10,13,14],[2,5,7,9,11,13,14],[3,4,5,6,11,13,14],[3,4,6,9,10,12,14],[3,4,7,8,9,10,13],[3,4,7,8,11,12,14],[3,5,6,9,10,11,12],[4,5,6,7,8,12,13]]; G[9703]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9704: autom. group order 2, simple, residual B[9704]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,11,12,14],[1,3,5,7,11,12,13],[1,3,5,9,10,13,14],[1,4,5,8,10,11,14],[1,4,6,8,9,11,13],[1,5,7,8,9,10,12],[1,6,7,8,10,11,14],[1,6,7,9,12,13,14],[2,3,6,7,8,9,14],[2,3,8,10,11,12,13],[2,4,5,7,11,12,14],[2,4,7,9,10,13,14],[2,5,6,8,9,10,12],[2,5,6,8,11,13,14],[2,5,7,9,10,11,13],[3,4,5,6,10,13,14],[3,4,6,9,10,11,12],[3,4,7,8,9,11,13],[3,4,7,8,10,12,14],[3,5,6,9,11,12,14],[4,5,6,7,8,12,13]]; G[9704]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9705: autom. group order 2, simple, residual B[9705]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,11,12,14],[1,3,5,7,11,12,13],[1,3,5,9,10,13,14],[1,4,5,8,10,11,14],[1,4,6,8,9,11,13],[1,5,7,8,9,10,12],[1,6,7,8,10,11,14],[1,6,7,9,12,13,14],[2,3,6,7,8,9,14],[2,3,8,10,11,12,13],[2,4,5,7,11,12,14],[2,4,7,9,10,13,14],[2,5,6,8,9,11,13],[2,5,6,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,6,10,13,14],[3,4,6,9,10,11,12],[3,4,7,8,9,10,12],[3,4,7,8,11,13,14],[3,5,6,9,11,12,14],[4,5,6,7,8,12,13]]; G[9705]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9706: autom. group order 2, simple, residual B[9706]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,4,6,10,12,14],[1,2,4,8,10,13,14],[1,3,5,7,11,13,14],[1,3,5,9,11,12,14],[1,4,5,10,11,12,13],[1,4,6,9,11,13,14],[1,5,7,8,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,6,7,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,8,11,12],[2,4,7,9,11,12,13],[2,5,6,8,11,13,14],[2,5,6,9,10,11,12],[2,5,7,9,10,13,14],[3,4,5,6,9,10,13],[3,4,6,8,11,12,14],[3,4,7,8,10,11,13],[3,4,7,9,10,12,14],[3,5,6,8,10,12,13],[4,5,6,7,8,9,14]]; G[9706]:=Group([(2,3)(4,5)(6,7)(8,9)(10,11)(12,13)]); # Design 9707: autom. group order 2, simple, residual B[9707]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,4,6,10,12,14],[1,2,4,8,11,13,14],[1,3,5,7,11,13,14],[1,3,5,9,10,12,14],[1,4,5,10,11,12,13],[1,4,6,9,11,12,14],[1,5,7,8,10,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,6,7,12,13,14],[2,3,8,9,10,11,14],[2,4,5,7,8,10,12],[2,4,7,9,10,11,13],[2,5,6,8,11,12,13],[2,5,6,9,10,13,14],[2,5,7,9,11,12,14],[3,4,5,6,9,11,13],[3,4,6,8,10,13,14],[3,4,7,8,11,12,14],[3,4,7,9,10,12,13],[3,5,6,8,10,11,12],[4,5,6,7,8,9,14]]; G[9707]:=Group([(2,3)(4,5)(6,7)(8,9)(10,11)(12,13)]); # Design 9708: autom. group order 2, simple B[9708]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,11,12,13,14],[1,2,4,6,11,12,13],[1,2,4,9,10,11,14],[1,3,5,7,11,12,14],[1,3,5,9,10,12,13],[1,4,5,8,9,13,14],[1,4,6,8,10,12,14],[1,5,7,8,10,11,13],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,6,7,9,13,14],[2,3,8,9,10,11,12],[2,4,5,7,10,11,14],[2,4,7,9,10,12,13],[2,5,6,8,9,12,14],[2,5,6,8,10,11,13],[2,5,7,8,12,13,14],[3,4,5,6,10,12,13],[3,4,6,8,11,13,14],[3,4,7,8,9,11,13],[3,4,7,8,10,12,14],[3,5,6,9,10,11,14],[4,5,6,7,9,11,12]]; G[9708]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 9709: autom. group order 2, simple B[9709]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,11,12,13,14],[1,2,4,6,11,12,13],[1,2,4,9,10,11,14],[1,3,5,7,11,12,14],[1,3,5,9,10,12,13],[1,4,5,8,9,13,14],[1,4,6,8,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,6,7,9,13,14],[2,3,8,9,10,11,12],[2,4,5,7,10,11,13],[2,4,7,9,10,12,14],[2,5,6,8,9,12,14],[2,5,6,8,11,13,14],[2,5,7,8,10,12,13],[3,4,5,6,10,12,14],[3,4,6,8,10,11,14],[3,4,7,8,9,11,13],[3,4,7,8,12,13,14],[3,5,6,9,10,11,13],[4,5,6,7,9,11,12]]; G[9709]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 9710: autom. group order 2, simple B[9710]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,11,12,13,14],[1,2,4,6,11,12,13],[1,2,4,9,10,11,14],[1,3,5,7,11,12,14],[1,3,5,9,10,12,13],[1,4,5,8,9,13,14],[1,4,6,8,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,6,7,9,13,14],[2,3,8,9,10,11,12],[2,4,5,7,10,11,13],[2,4,7,9,10,12,14],[2,5,6,8,10,12,14],[2,5,6,8,11,13,14],[2,5,7,8,9,12,13],[3,4,5,6,10,12,14],[3,4,6,8,9,11,14],[3,4,7,8,10,11,13],[3,4,7,8,12,13,14],[3,5,6,9,10,11,13],[4,5,6,7,9,11,12]]; G[9710]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 9711: autom. group order 2, simple B[9711]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,11,12,13,14],[1,2,4,6,11,12,13],[1,2,4,9,10,11,14],[1,3,5,7,11,12,14],[1,3,5,9,10,12,13],[1,4,5,8,9,13,14],[1,4,6,8,10,12,14],[1,5,7,8,10,11,13],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,6,7,9,13,14],[2,3,8,9,10,11,12],[2,4,5,7,10,11,14],[2,4,7,8,9,12,13],[2,5,6,8,10,11,13],[2,5,6,9,10,12,14],[2,5,7,8,12,13,14],[3,4,5,6,10,12,13],[3,4,6,8,11,13,14],[3,4,7,8,10,12,14],[3,4,7,9,10,11,13],[3,5,6,8,9,11,14],[4,5,6,7,9,11,12]]; G[9711]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 9712: autom. group order 2, simple B[9712]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,11,12,13,14],[1,2,4,6,11,12,13],[1,2,4,9,10,11,14],[1,3,5,7,11,12,14],[1,3,5,9,10,12,13],[1,4,5,8,9,13,14],[1,4,6,8,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,6,7,9,13,14],[2,3,8,9,10,11,12],[2,4,5,7,10,11,13],[2,4,7,8,9,12,14],[2,5,6,8,11,13,14],[2,5,6,9,10,12,14],[2,5,7,8,10,12,13],[3,4,5,6,10,12,14],[3,4,6,8,10,11,14],[3,4,7,8,12,13,14],[3,4,7,9,10,11,13],[3,5,6,8,9,11,13],[4,5,6,7,9,11,12]]; G[9712]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 9713: autom. group order 2, simple B[9713]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,11,12,13,14],[1,2,4,6,11,12,13],[1,2,4,9,10,11,14],[1,3,5,7,11,12,14],[1,3,5,9,10,12,13],[1,4,5,8,9,13,14],[1,4,6,8,10,12,14],[1,5,7,8,10,11,13],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,6,7,9,13,14],[2,3,8,9,10,11,12],[2,4,5,7,10,11,14],[2,4,7,8,10,12,13],[2,5,6,8,9,11,13],[2,5,6,9,10,12,14],[2,5,7,8,12,13,14],[3,4,5,6,10,12,13],[3,4,6,8,11,13,14],[3,4,7,8,9,12,14],[3,4,7,9,10,11,13],[3,5,6,8,10,11,14],[4,5,6,7,9,11,12]]; G[9713]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 9714: autom. group order 2, simple B[9714]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,11,12,13,14],[1,2,4,6,11,12,13],[1,2,4,9,10,11,14],[1,3,5,7,11,12,14],[1,3,5,9,10,12,13],[1,4,5,8,9,13,14],[1,4,6,8,10,12,14],[1,5,7,8,10,11,13],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,6,7,9,13,14],[2,3,8,9,10,11,12],[2,4,5,7,10,11,13],[2,4,7,8,12,13,14],[2,5,6,8,9,11,14],[2,5,6,9,10,12,13],[2,5,7,8,10,12,14],[3,4,5,6,10,12,14],[3,4,6,8,10,11,13],[3,4,7,8,9,12,13],[3,4,7,9,10,11,14],[3,5,6,8,11,13,14],[4,5,6,7,9,11,12]]; G[9714]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 9715: autom. group order 2, simple B[9715]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,11,12,13,14],[1,2,4,6,11,12,13],[1,2,4,9,10,11,14],[1,3,5,7,11,12,14],[1,3,5,9,10,12,13],[1,4,5,8,9,13,14],[1,4,6,8,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,6,7,9,13,14],[2,3,8,9,10,11,12],[2,4,5,7,10,11,13],[2,4,7,8,10,12,14],[2,5,6,8,11,13,14],[2,5,6,9,10,12,14],[2,5,7,8,9,12,13],[3,4,5,6,10,12,14],[3,4,6,8,9,11,14],[3,4,7,8,12,13,14],[3,4,7,9,10,11,13],[3,5,6,8,10,11,13],[4,5,6,7,9,11,12]]; G[9715]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 9716: autom. group order 2, simple B[9716]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,11,12,13,14],[1,2,4,6,11,12,13],[1,2,4,9,10,11,14],[1,3,5,7,11,12,14],[1,3,5,9,10,12,13],[1,4,5,8,9,13,14],[1,4,6,8,10,12,14],[1,5,7,8,10,11,13],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,6,7,9,13,14],[2,3,8,9,10,11,12],[2,4,5,7,10,11,13],[2,4,7,8,12,13,14],[2,5,6,8,10,11,14],[2,5,6,9,10,12,13],[2,5,7,8,9,12,14],[3,4,5,6,10,12,14],[3,4,6,8,9,11,13],[3,4,7,8,10,12,13],[3,4,7,9,10,11,14],[3,5,6,8,11,13,14],[4,5,6,7,9,11,12]]; G[9716]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 9717: autom. group order 2, simple B[9717]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,11,12,13,14],[1,2,4,6,11,12,13],[1,2,4,9,10,11,14],[1,3,5,7,11,12,14],[1,3,5,9,10,12,13],[1,4,5,8,9,13,14],[1,4,6,8,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,6,7,9,13,14],[2,3,8,9,10,11,12],[2,4,5,7,10,11,13],[2,4,7,8,9,12,14],[2,5,6,8,10,12,14],[2,5,6,8,11,13,14],[2,5,7,9,10,12,13],[3,4,5,6,10,12,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,13],[3,4,7,8,12,13,14],[3,5,6,8,9,11,13],[4,5,6,7,9,11,12]]; G[9717]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 9718: autom. group order 2, simple B[9718]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,11,12,13,14],[1,2,4,6,11,12,13],[1,2,4,9,10,11,14],[1,3,5,7,11,12,14],[1,3,5,9,10,12,13],[1,4,5,8,9,13,14],[1,4,6,8,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,6,7,9,13,14],[2,3,8,9,10,11,12],[2,4,5,7,10,11,13],[2,4,7,8,10,12,14],[2,5,6,8,9,12,14],[2,5,6,8,11,13,14],[2,5,7,9,10,12,13],[3,4,5,6,10,12,14],[3,4,6,9,10,11,14],[3,4,7,8,9,11,13],[3,4,7,8,12,13,14],[3,5,6,8,10,11,13],[4,5,6,7,9,11,12]]; G[9718]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 9719: autom. group order 2, simple B[9719]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,11,12,13,14],[1,2,4,6,11,12,13],[1,2,4,9,10,11,14],[1,3,5,7,11,12,14],[1,3,5,9,10,12,13],[1,4,5,8,9,13,14],[1,4,6,8,10,12,14],[1,5,7,8,10,11,13],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,6,7,9,13,14],[2,3,8,9,10,11,12],[2,4,5,7,10,11,13],[2,4,7,8,12,13,14],[2,5,6,8,9,11,14],[2,5,6,8,10,12,13],[2,5,7,9,10,12,14],[3,4,5,6,10,12,14],[3,4,6,9,10,11,13],[3,4,7,8,9,12,13],[3,4,7,8,10,11,14],[3,5,6,8,11,13,14],[4,5,6,7,9,11,12]]; G[9719]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 9720: autom. group order 2, simple B[9720]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,11,12,13,14],[1,2,4,6,11,12,13],[1,2,4,9,10,11,14],[1,3,5,7,11,12,14],[1,3,5,9,10,12,13],[1,4,5,8,9,13,14],[1,4,6,8,10,12,14],[1,5,7,8,10,11,13],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,6,7,9,13,14],[2,3,8,9,10,11,12],[2,4,5,7,10,11,13],[2,4,7,8,12,13,14],[2,5,6,8,9,12,13],[2,5,6,8,10,11,14],[2,5,7,9,10,12,14],[3,4,5,6,10,12,14],[3,4,6,9,10,11,13],[3,4,7,8,9,11,14],[3,4,7,8,10,12,13],[3,5,6,8,11,13,14],[4,5,6,7,9,11,12]]; G[9720]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 9721: autom. group order 2, simple, residual B[9721]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,4,6,12,13,14],[1,2,4,8,11,12,14],[1,3,5,7,11,13,14],[1,3,5,9,12,13,14],[1,4,5,9,10,11,14],[1,4,6,9,10,11,13],[1,5,7,8,9,10,12],[1,6,7,8,9,11,12],[1,6,7,8,10,13,14],[2,3,6,7,9,11,14],[2,3,9,10,11,12,13],[2,4,5,7,10,11,12],[2,4,7,8,9,13,14],[2,5,6,7,9,10,14],[2,5,6,8,9,12,13],[2,5,8,10,11,13,14],[3,4,5,6,8,10,13],[3,4,6,9,10,12,14],[3,4,7,8,9,11,13],[3,4,7,8,10,12,14],[3,5,6,8,11,12,14],[4,5,6,7,11,12,13]]; G[9721]:=Group([(1,12)(2,14)(5,10)(7,9)]); # Design 9722: autom. group order 2, simple, residual B[9722]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,6,8,13,14],[1,2,4,9,10,12,14],[1,3,5,8,11,12,14],[1,3,5,9,12,13,14],[1,4,5,7,10,12,13],[1,4,6,8,9,11,13],[1,5,7,8,10,11,14],[1,6,7,8,9,10,14],[1,6,7,9,11,12,13],[2,3,6,7,8,12,14],[2,3,7,8,9,10,13],[2,4,5,7,11,13,14],[2,4,7,9,11,12,14],[2,5,6,8,11,12,13],[2,5,6,9,10,11,14],[2,5,8,9,10,12,13],[3,4,5,6,9,10,11],[3,4,6,10,12,13,14],[3,4,7,8,9,11,12],[3,4,8,10,11,13,14],[3,5,6,7,9,13,14],[4,5,6,7,8,10,12]]; G[9722]:=Group([(1,13)(2,14)(5,10)(7,12)(9,11)]); # Design 9723: autom. group order 2, simple, residual B[9723]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,6,9,13,14],[1,2,4,7,10,12,14],[1,3,5,7,12,13,14],[1,3,5,9,11,12,14],[1,4,5,7,10,11,13],[1,4,6,8,9,12,13],[1,5,8,9,10,11,14],[1,6,7,8,9,10,14],[1,6,7,8,11,12,13],[2,3,6,7,9,11,14],[2,3,7,8,9,10,13],[2,4,5,8,11,13,14],[2,4,7,8,11,12,14],[2,5,6,8,10,12,14],[2,5,6,9,11,12,13],[2,5,7,9,10,12,13],[3,4,5,6,8,10,12],[3,4,6,10,11,13,14],[3,4,7,8,9,11,12],[3,4,9,10,12,13,14],[3,5,6,7,8,13,14],[4,5,6,7,9,10,11]]; G[9723]:=Group([(1,13)(2,14)(5,10)(7,11)(8,12)]); # Design 9724: autom. group order 2, simple B[9724]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,11,12,13],[1,2,4,6,9,12,14],[1,2,4,7,10,13,14],[1,3,5,7,8,13,14],[1,3,5,9,11,12,14],[1,4,5,10,11,12,13],[1,4,6,7,9,11,13],[1,5,7,8,9,10,12],[1,6,7,8,10,12,14],[1,6,8,9,11,13,14],[2,3,6,7,11,12,14],[2,3,8,9,10,13,14],[2,4,5,8,11,12,14],[2,4,7,8,9,10,11],[2,5,6,7,8,12,13],[2,5,6,9,10,12,13],[2,5,7,9,11,13,14],[3,4,5,6,10,13,14],[3,4,6,8,9,12,13],[3,4,7,8,11,12,13],[3,4,7,9,10,12,14],[3,5,6,7,9,10,11],[4,5,6,8,10,11,14]]; G[9724]:=Group([(2,3)(4,5)(6,8)(7,9)(10,11)(12,13)]); # Design 9725: autom. group order 2, simple B[9725]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,6,9,13,14],[1,2,4,7,10,11,13],[1,3,5,7,11,12,13],[1,3,5,9,10,12,14],[1,4,5,8,12,13,14],[1,4,6,8,9,11,12],[1,5,7,9,10,11,14],[1,6,7,8,9,11,14],[1,6,7,8,10,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,7,11,12,14],[2,4,7,8,10,12,14],[2,5,6,8,10,11,14],[2,5,6,9,10,12,13],[2,5,8,9,11,12,13],[3,4,5,6,8,10,11],[3,4,6,11,12,13,14],[3,4,7,8,9,10,12],[3,4,9,10,11,13,14],[3,5,6,7,8,13,14],[4,5,6,7,9,10,13]]; G[9725]:=Group([(1,13)(2,14)(5,11)(7,12)(8,10)]); # Design 9726: autom. group order 2, simple, residual B[9726]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,6,10,13,14],[1,2,4,7,9,12,14],[1,3,5,7,10,13,14],[1,3,5,9,12,13,14],[1,4,5,8,11,12,14],[1,4,6,8,9,11,13],[1,5,7,8,10,11,12],[1,6,7,8,9,12,13],[1,6,7,9,10,11,14],[2,3,6,7,8,12,14],[2,3,7,9,11,12,13],[2,4,5,7,9,10,11],[2,4,8,10,12,13,14],[2,5,6,8,9,10,12],[2,5,6,9,11,13,14],[2,5,7,8,11,13,14],[3,4,5,6,11,12,13],[3,4,6,7,8,11,14],[3,4,7,8,9,10,13],[3,4,9,10,11,12,14],[3,5,6,8,9,10,14],[4,5,6,7,10,12,13]]; G[9726]:=Group([(1,13)(3,14)(4,11)(6,8)]); # Design 9727: autom. group order 2, simple, residual B[9727]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,6,8,13,14],[1,2,4,9,10,11,12],[1,3,5,7,9,11,13],[1,3,5,11,12,13,14],[1,4,5,7,10,12,14],[1,4,6,7,9,12,13],[1,5,7,8,9,10,14],[1,6,7,8,10,11,13],[1,6,8,9,11,12,14],[2,3,6,7,9,11,14],[2,3,7,8,9,10,12],[2,4,5,8,11,12,13],[2,4,7,9,11,13,14],[2,5,6,7,10,12,13],[2,5,6,9,10,13,14],[2,5,7,8,11,12,14],[3,4,5,6,10,11,14],[3,4,6,7,8,12,14],[3,4,7,8,10,11,13],[3,4,9,10,12,13,14],[3,5,6,8,9,12,13],[4,5,6,8,9,10,11]]; G[9727]:=Group([(1,10)(2,11)(3,6)(7,14)]); # Design 9728: autom. group order 2, simple, residual B[9728]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,6,8,13,14],[1,2,4,9,10,11,12],[1,3,5,7,11,12,13],[1,3,5,9,11,13,14],[1,4,5,7,10,12,14],[1,4,6,7,9,12,13],[1,5,7,8,9,10,14],[1,6,7,8,10,11,13],[1,6,8,9,11,12,14],[2,3,6,7,9,11,14],[2,3,7,8,9,10,12],[2,4,5,8,11,12,13],[2,4,7,9,11,13,14],[2,5,6,7,9,10,13],[2,5,6,10,12,13,14],[2,5,7,8,11,12,14],[3,4,5,6,10,11,14],[3,4,6,7,8,12,14],[3,4,7,8,10,11,13],[3,4,9,10,12,13,14],[3,5,6,8,9,12,13],[4,5,6,8,9,10,11]]; G[9728]:=Group([(1,10)(2,11)(3,6)(7,14)]); # Design 9729: autom. group order 2, simple B[9729]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,6,9,13,14],[1,2,4,8,11,12,13],[1,3,5,7,11,12,13],[1,3,5,9,10,11,14],[1,4,5,7,10,13,14],[1,4,6,7,9,10,12],[1,5,8,9,11,12,14],[1,6,7,8,9,12,14],[1,6,7,8,10,11,13],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,7,11,12,14],[2,4,7,8,10,11,14],[2,5,6,8,10,12,14],[2,5,6,9,10,11,13],[2,5,7,9,10,12,13],[3,4,5,6,8,10,12],[3,4,6,11,12,13,14],[3,4,7,8,9,10,11],[3,4,9,10,12,13,14],[3,5,6,7,8,13,14],[4,5,6,8,9,11,13]]; G[9729]:=Group([(1,13)(2,14)(5,12)(7,11)(8,10)]); # Design 9730: autom. group order 2, simple, residual B[9730]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,6,9,13,14],[1,2,4,8,12,13,14],[1,3,5,7,12,13,14],[1,3,5,9,10,12,14],[1,4,5,7,10,11,13],[1,4,6,7,9,11,12],[1,5,8,9,10,11,14],[1,6,7,8,9,11,14],[1,6,7,8,10,12,13],[2,3,6,7,9,10,14],[2,3,7,8,9,11,13],[2,4,5,7,10,11,14],[2,4,7,8,10,12,14],[2,5,6,8,11,12,14],[2,5,6,9,10,12,13],[2,5,7,9,11,12,13],[3,4,5,6,8,11,12],[3,4,6,10,11,13,14],[3,4,7,8,9,10,12],[3,4,9,11,12,13,14],[3,5,6,7,8,13,14],[4,5,6,8,9,10,13]]; G[9730]:=Group([(1,13)(2,14)(5,11)(7,10)(8,12)]); # Design 9731: autom. group order 2, simple, residual B[9731]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,6,8,12,14],[1,2,4,9,10,13,14],[1,3,5,7,9,11,14],[1,3,5,11,12,13,14],[1,4,5,7,10,12,13],[1,4,6,7,9,11,12],[1,5,8,9,10,12,14],[1,6,7,8,9,11,13],[1,6,7,8,10,13,14],[2,3,6,7,12,13,14],[2,3,7,8,9,10,12],[2,4,5,7,10,11,13],[2,4,9,11,12,13,14],[2,5,6,7,9,10,14],[2,5,6,8,9,11,13],[2,5,7,8,11,12,14],[3,4,5,6,8,13,14],[3,4,6,9,10,11,14],[3,4,7,8,9,12,13],[3,4,7,8,10,11,14],[3,5,6,9,10,12,13],[4,5,6,8,10,11,12]]; G[9731]:=Group([(1,11)(2,10)(5,14)(7,9)]); # Design 9732: autom. group order 2, simple, residual B[9732]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,12,13,14],[1,2,4,6,8,11,12],[1,2,4,9,10,13,14],[1,3,5,7,9,11,13],[1,3,5,8,10,12,14],[1,4,5,10,11,12,13],[1,4,7,8,11,13,14],[1,5,6,9,11,12,14],[1,6,7,8,9,10,14],[1,6,7,8,9,12,13],[2,3,6,7,12,13,14],[2,3,8,9,11,12,13],[2,4,5,6,9,13,14],[2,4,7,8,9,10,12],[2,5,6,8,10,11,14],[2,5,7,8,10,11,13],[2,5,7,9,11,12,14],[3,4,5,7,8,12,14],[3,4,6,8,11,13,14],[3,4,6,9,10,11,12],[3,4,7,9,10,11,14],[3,5,6,8,9,10,13],[4,5,6,7,10,12,13]]; G[9732]:=Group([(2,3)(4,5)(6,7)(8,9)(12,13)]); # Design 9733: autom. group order 2, simple, residual B[9733]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,13,14],[1,3,5,7,9,13,14],[1,3,5,8,10,12,14],[1,4,5,10,11,12,13],[1,4,7,8,11,13,14],[1,5,6,9,11,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,6,7,12,13,14],[2,3,8,9,11,12,13],[2,4,5,6,9,11,13],[2,4,7,8,9,10,12],[2,5,6,8,10,11,14],[2,5,7,8,11,13,14],[2,5,7,9,10,12,14],[3,4,5,7,8,11,12],[3,4,6,8,10,13,14],[3,4,6,9,11,12,14],[3,4,7,9,10,11,14],[3,5,6,8,9,10,13],[4,5,6,7,10,12,13]]; G[9733]:=Group([(2,3)(4,5)(6,7)(8,9)(12,13)]); # Design 9734: autom. group order 2, simple, residual B[9734]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,12,14],[1,3,5,7,9,13,14],[1,3,5,8,10,13,14],[1,4,5,10,11,12,13],[1,4,7,8,11,13,14],[1,5,6,9,11,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,6,7,12,13,14],[2,3,8,9,11,12,13],[2,4,5,6,9,11,13],[2,4,7,8,9,10,13],[2,5,6,8,10,13,14],[2,5,7,8,11,12,14],[2,5,7,9,10,11,14],[3,4,5,7,8,11,12],[3,4,6,8,10,11,14],[3,4,6,9,11,13,14],[3,4,7,9,10,12,14],[3,5,6,8,9,10,12],[4,5,6,7,10,12,13]]; G[9734]:=Group([(2,3)(4,5)(6,7)(8,9)(12,13)]); # Design 9735: autom. group order 2, simple, residual B[9735]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,12,14],[1,3,5,7,9,13,14],[1,3,5,8,10,13,14],[1,4,5,10,11,12,13],[1,4,7,8,11,13,14],[1,5,6,9,11,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,6,7,12,13,14],[2,3,8,9,11,12,13],[2,4,5,6,9,11,13],[2,4,7,8,9,10,13],[2,5,6,8,11,13,14],[2,5,7,8,10,12,14],[2,5,7,9,10,11,14],[3,4,5,7,8,11,12],[3,4,6,8,10,11,14],[3,4,6,9,10,13,14],[3,4,7,9,11,12,14],[3,5,6,8,9,10,12],[4,5,6,7,10,12,13]]; G[9735]:=Group([(2,3)(4,5)(6,7)(8,9)(12,13)]); # Design 9736: autom. group order 2, simple, residual B[9736]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,13,14],[1,3,5,7,9,13,14],[1,3,5,8,10,12,14],[1,4,5,11,12,13,14],[1,4,7,8,10,11,13],[1,5,6,9,10,11,12],[1,6,7,8,9,11,14],[1,6,7,8,9,12,13],[2,3,6,7,12,13,14],[2,3,8,9,11,12,13],[2,4,5,6,9,11,13],[2,4,7,8,9,10,12],[2,5,6,8,10,11,14],[2,5,7,8,11,13,14],[2,5,7,9,10,12,14],[3,4,5,7,8,11,12],[3,4,6,8,10,13,14],[3,4,6,9,11,12,14],[3,4,7,9,10,11,14],[3,5,6,8,9,10,13],[4,5,6,7,10,12,13]]; G[9736]:=Group([(2,3)(4,5)(6,7)(8,9)(12,13)]); # Design 9737: autom. group order 2, simple, residual B[9737]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,13,14],[1,3,5,7,9,13,14],[1,3,5,8,10,12,14],[1,4,5,11,12,13,14],[1,4,7,8,10,11,12],[1,5,6,9,10,11,13],[1,6,7,8,9,11,14],[1,6,7,8,9,12,13],[2,3,6,7,12,13,14],[2,3,8,9,11,12,13],[2,4,5,6,9,11,12],[2,4,7,8,9,10,13],[2,5,6,8,11,13,14],[2,5,7,8,10,11,14],[2,5,7,9,10,12,14],[3,4,5,7,8,11,13],[3,4,6,8,10,13,14],[3,4,6,9,10,11,14],[3,4,7,9,11,12,14],[3,5,6,8,9,10,12],[4,5,6,7,10,12,13]]; G[9737]:=Group([(2,3)(4,5)(6,7)(8,9)(12,13)]); # Design 9738: autom. group order 2, simple, residual B[9738]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,12,14],[1,3,5,7,9,13,14],[1,3,5,8,11,13,14],[1,4,5,10,11,12,13],[1,4,7,8,10,13,14],[1,5,6,9,11,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,6,7,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,9,11,13],[2,4,7,8,9,11,13],[2,5,6,8,10,13,14],[2,5,7,8,11,12,14],[2,5,7,9,10,12,13],[3,4,5,7,8,10,12],[3,4,6,8,11,12,13],[3,4,6,9,10,13,14],[3,4,7,9,11,12,14],[3,5,6,8,9,10,12],[4,5,6,7,10,11,14]]; G[9738]:=Group([(2,3)(4,5)(6,7)(8,9)(10,11)(12,13)]); # Design 9739: autom. group order 2, simple, residual B[9739]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,13,14],[1,3,5,7,9,12,14],[1,3,5,8,11,13,14],[1,4,5,10,11,12,14],[1,4,7,8,10,12,13],[1,5,6,9,11,12,13],[1,6,7,8,9,10,11],[1,6,7,8,9,13,14],[2,3,6,7,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,9,11,13],[2,4,7,8,9,11,12],[2,5,6,8,10,12,14],[2,5,7,8,11,13,14],[2,5,7,9,10,12,13],[3,4,5,7,8,10,13],[3,4,6,8,11,12,13],[3,4,6,9,10,13,14],[3,4,7,9,11,12,14],[3,5,6,8,9,10,12],[4,5,6,7,10,11,14]]; G[9739]:=Group([(2,3)(4,5)(6,7)(8,9)(10,11)]); # Design 9740: autom. group order 2, simple, residual B[9740]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,13,14],[1,3,5,7,9,12,14],[1,3,5,8,11,13,14],[1,4,5,10,11,12,14],[1,4,7,8,10,12,13],[1,5,6,9,11,12,13],[1,6,7,8,9,10,11],[1,6,7,8,9,13,14],[2,3,6,7,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,9,11,13],[2,4,7,8,9,11,12],[2,5,6,8,10,13,14],[2,5,7,8,11,12,14],[2,5,7,9,10,12,13],[3,4,5,7,8,10,13],[3,4,6,8,11,12,13],[3,4,6,9,10,12,14],[3,4,7,9,11,13,14],[3,5,6,8,9,10,12],[4,5,6,7,10,11,14]]; G[9740]:=Group([(2,3)(4,5)(6,7)(8,9)(10,11)]); # Design 9741: autom. group order 2, simple, residual B[9741]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,12,14],[1,3,5,7,9,13,14],[1,3,5,8,10,13,14],[1,4,5,10,11,12,13],[1,4,7,8,11,13,14],[1,5,6,9,11,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,6,7,12,13,14],[2,3,8,9,11,12,13],[2,4,5,6,8,11,13],[2,4,7,9,11,13,14],[2,5,6,9,10,13,14],[2,5,7,8,9,10,12],[2,5,7,8,10,11,14],[3,4,5,7,9,11,12],[3,4,6,8,9,10,13],[3,4,6,9,10,11,14],[3,4,7,8,10,12,14],[3,5,6,8,11,12,14],[4,5,6,7,10,12,13]]; G[9741]:=Group([(2,3)(4,5)(6,7)(8,9)(12,13)]); # Design 9742: autom. group order 2, simple, residual B[9742]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,13,14],[1,3,5,7,9,12,14],[1,3,5,8,11,13,14],[1,4,5,10,11,12,14],[1,4,7,8,10,12,13],[1,5,6,9,11,12,13],[1,6,7,8,9,10,11],[1,6,7,8,9,13,14],[2,3,6,7,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,8,11,13],[2,4,7,9,11,12,14],[2,5,6,9,10,12,13],[2,5,7,8,9,11,12],[2,5,7,8,10,13,14],[3,4,5,7,9,10,13],[3,4,6,8,9,10,12],[3,4,6,9,11,13,14],[3,4,7,8,11,12,13],[3,5,6,8,10,12,14],[4,5,6,7,10,11,14]]; G[9742]:=Group([(2,3)(4,5)(6,7)(8,9)(10,11)]); # Design 9743: autom. group order 2, simple, residual B[9743]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,13,14],[1,3,5,7,9,12,14],[1,3,5,8,11,13,14],[1,4,5,10,11,12,14],[1,4,7,8,10,12,13],[1,5,6,9,11,12,13],[1,6,7,8,9,10,11],[1,6,7,8,9,13,14],[2,3,6,7,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,8,11,13],[2,4,7,9,11,13,14],[2,5,6,9,10,12,13],[2,5,7,8,9,11,12],[2,5,7,8,10,12,14],[3,4,5,7,9,10,13],[3,4,6,8,9,10,12],[3,4,6,9,11,12,14],[3,4,7,8,11,12,13],[3,5,6,8,10,13,14],[4,5,6,7,10,11,14]]; G[9743]:=Group([(2,3)(4,5)(6,7)(8,9)(10,11)]); # Design 9744: autom. group order 2, simple B[9744]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,12,13,14],[1,2,4,6,8,12,13],[1,2,4,9,11,12,13],[1,3,5,7,9,12,14],[1,3,5,8,11,12,14],[1,4,5,10,11,13,14],[1,4,7,8,10,11,14],[1,5,6,9,10,11,13],[1,6,7,8,9,10,12],[1,6,7,8,9,13,14],[2,3,6,7,11,13,14],[2,3,8,9,10,13,14],[2,4,5,6,8,10,14],[2,4,7,9,10,12,14],[2,5,6,9,11,12,14],[2,5,7,8,9,11,13],[2,5,7,8,10,11,12],[3,4,5,7,9,10,13],[3,4,6,8,9,11,14],[3,4,6,9,10,11,12],[3,4,7,8,11,12,13],[3,5,6,8,10,12,13],[4,5,6,7,12,13,14]]; G[9744]:=Group([(2,3)(4,5)(6,7)(8,9)(13,14)]); # Design 9745: autom. group order 2, simple, residual B[9745]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,13,14],[1,3,5,7,8,13,14],[1,3,5,9,11,12,14],[1,4,5,10,11,12,13],[1,4,7,8,9,10,12],[1,5,6,8,9,11,13],[1,6,7,8,10,11,14],[1,6,7,9,12,13,14],[2,3,6,7,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,11,12,14],[2,4,7,9,11,13,14],[2,5,6,8,10,13,14],[2,5,7,8,9,10,12],[2,5,7,8,11,12,13],[3,4,5,7,10,13,14],[3,4,6,8,9,11,13],[3,4,6,8,10,12,13],[3,4,7,8,11,12,14],[3,5,6,9,10,12,14],[4,5,6,7,9,10,11]]; G[9745]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9746: autom. group order 2, simple, residual B[9746]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,12,14],[1,3,5,7,8,13,14],[1,3,5,9,10,13,14],[1,4,5,9,11,12,13],[1,4,7,8,10,11,13],[1,5,6,8,10,11,12],[1,6,7,8,9,11,14],[1,6,7,9,12,13,14],[2,3,6,7,9,12,13],[2,3,8,11,12,13,14],[2,4,5,6,11,13,14],[2,4,7,8,9,11,13],[2,5,6,8,10,13,14],[2,5,7,8,9,10,12],[2,5,7,9,10,11,14],[3,4,5,7,11,12,14],[3,4,6,8,9,10,13],[3,4,6,9,10,11,14],[3,4,7,8,10,12,14],[3,5,6,8,9,11,12],[4,5,6,7,10,12,13]]; G[9746]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 9747: autom. group order 2, simple, residual B[9747]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,12,14],[1,3,5,7,8,13,14],[1,3,5,9,11,13,14],[1,4,5,10,11,12,13],[1,4,7,8,9,10,13],[1,5,6,8,9,11,12],[1,6,7,8,10,11,14],[1,6,7,9,12,13,14],[2,3,6,7,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,11,13,14],[2,4,7,8,9,11,13],[2,5,6,8,10,13,14],[2,5,7,8,10,12,13],[2,5,7,9,11,12,14],[3,4,5,7,10,12,14],[3,4,6,8,11,12,13],[3,4,6,9,10,13,14],[3,4,7,8,11,12,14],[3,5,6,8,9,10,12],[4,5,6,7,9,10,11]]; G[9747]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9748: autom. group order 2, simple, residual B[9748]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,12,14],[1,3,5,7,8,13,14],[1,3,5,9,11,13,14],[1,4,5,10,11,12,13],[1,4,7,8,9,10,13],[1,5,6,8,9,11,12],[1,6,7,8,10,11,14],[1,6,7,9,12,13,14],[2,3,6,7,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,11,13,14],[2,4,7,8,11,13,14],[2,5,6,8,9,10,13],[2,5,7,8,10,12,13],[2,5,7,9,11,12,14],[3,4,5,7,10,12,14],[3,4,6,8,11,12,13],[3,4,6,9,10,13,14],[3,4,7,8,9,11,12],[3,5,6,8,10,12,14],[4,5,6,7,9,10,11]]; G[9748]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9749: autom. group order 2, simple, residual B[9749]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,13,14],[1,3,5,7,8,13,14],[1,3,5,9,11,12,14],[1,4,5,10,11,12,13],[1,4,7,8,9,10,12],[1,5,6,8,9,11,13],[1,6,7,8,10,11,14],[1,6,7,9,12,13,14],[2,3,6,7,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,11,13,14],[2,4,7,8,11,12,13],[2,5,6,8,9,10,12],[2,5,7,8,10,13,14],[2,5,7,9,11,12,14],[3,4,5,7,10,12,14],[3,4,6,8,11,12,14],[3,4,6,9,10,13,14],[3,4,7,8,9,11,13],[3,5,6,8,10,12,13],[4,5,6,7,9,10,11]]; G[9749]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9750: autom. group order 2, simple, residual B[9750]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,6,8,12,14],[1,2,4,9,10,13,14],[1,3,5,7,8,13,14],[1,3,5,9,11,12,14],[1,4,5,10,11,12,13],[1,4,7,8,9,10,12],[1,5,6,8,9,11,13],[1,6,7,8,10,11,14],[1,6,7,9,12,13,14],[2,3,6,7,9,12,13],[2,3,8,9,10,11,14],[2,4,5,6,11,13,14],[2,4,7,8,11,12,13],[2,5,6,8,10,12,14],[2,5,7,8,9,10,13],[2,5,7,9,11,12,14],[3,4,5,7,10,12,14],[3,4,6,8,9,11,12],[3,4,6,9,10,13,14],[3,4,7,8,11,13,14],[3,5,6,8,10,12,13],[4,5,6,7,9,10,11]]; G[9750]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9751: autom. group order 2, simple, residual B[9751]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,12,13,14],[1,2,4,6,8,12,13],[1,2,4,9,10,11,12],[1,3,5,7,8,13,14],[1,3,5,9,10,11,14],[1,4,5,8,10,12,14],[1,4,7,9,11,13,14],[1,5,6,9,11,12,13],[1,6,7,8,9,12,14],[1,6,7,8,10,11,13],[2,3,6,7,9,12,14],[2,3,8,11,12,13,14],[2,4,5,6,11,13,14],[2,4,7,8,9,11,14],[2,5,6,9,10,13,14],[2,5,7,8,9,10,13],[2,5,7,8,10,11,12],[3,4,5,7,11,12,13],[3,4,6,8,9,10,13],[3,4,6,8,10,11,14],[3,4,7,9,10,12,13],[3,5,6,8,9,11,12],[4,5,6,7,10,12,14]]; G[9751]:=Group([(2,3)(4,5)(6,7)(12,14)]); # Design 9752: autom. group order 2, simple, residual B[9752]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,12,13,14],[1,2,4,6,8,12,13],[1,2,4,9,10,11,14],[1,3,5,7,8,12,14],[1,3,5,9,10,11,13],[1,4,5,8,10,13,14],[1,4,7,9,11,12,13],[1,5,6,9,11,12,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,6,7,9,13,14],[2,3,8,11,12,13,14],[2,4,5,6,11,12,13],[2,4,7,8,9,11,14],[2,5,6,9,10,12,14],[2,5,7,8,9,10,12],[2,5,7,8,10,11,13],[3,4,5,7,11,12,14],[3,4,6,8,9,10,12],[3,4,6,8,10,11,14],[3,4,7,9,10,12,13],[3,5,6,8,9,11,13],[4,5,6,7,10,13,14]]; G[9752]:=Group([(2,3)(4,5)(6,7)(13,14)]); # Design 9753: autom. group order 2, simple, residual B[9753]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,12,13,14],[1,2,4,6,8,12,13],[1,2,4,9,10,11,14],[1,3,5,7,8,12,14],[1,3,5,9,10,11,13],[1,4,5,8,10,13,14],[1,4,7,9,11,12,13],[1,5,6,9,11,12,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,6,7,9,13,14],[2,3,8,11,12,13,14],[2,4,5,6,11,12,14],[2,4,7,8,9,10,12],[2,5,6,8,9,11,13],[2,5,7,8,10,11,14],[2,5,7,9,10,12,13],[3,4,5,7,11,12,13],[3,4,6,8,10,11,13],[3,4,6,9,10,12,14],[3,4,7,8,9,11,14],[3,5,6,8,9,10,12],[4,5,6,7,10,13,14]]; G[9753]:=Group([(2,3)(4,5)(6,7)(13,14)]); # Design 9754: autom. group order 2, simple, residual B[9754]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,4,6,9,12,14],[1,2,4,10,11,13,14],[1,3,5,7,9,13,14],[1,3,5,10,11,12,14],[1,4,5,9,10,12,13],[1,4,7,8,11,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,6,7,12,13,14],[2,3,8,9,11,12,13],[2,4,5,6,8,11,13],[2,4,7,9,10,11,12],[2,5,6,8,9,10,14],[2,5,7,8,10,12,14],[2,5,7,9,11,13,14],[3,4,5,7,8,11,12],[3,4,6,8,10,13,14],[3,4,6,9,11,12,14],[3,4,7,8,9,10,14],[3,5,6,9,10,11,13],[4,5,6,7,10,12,13]]; G[9754]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 9755: autom. group order 2, simple, residual B[9755]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,4,6,9,12,14],[1,2,4,10,11,12,14],[1,3,5,7,9,13,14],[1,3,5,10,11,13,14],[1,4,5,9,10,12,13],[1,4,7,8,11,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,6,7,12,13,14],[2,3,8,9,11,12,13],[2,4,5,6,8,11,13],[2,4,7,9,10,11,13],[2,5,6,8,10,13,14],[2,5,7,8,9,10,14],[2,5,7,9,11,12,14],[3,4,5,7,8,11,12],[3,4,6,8,9,10,14],[3,4,6,9,11,13,14],[3,4,7,8,10,12,14],[3,5,6,9,10,11,12],[4,5,6,7,10,12,13]]; G[9755]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 9756: autom. group order 2, simple, residual B[9756]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,4,6,9,12,14],[1,2,4,10,11,12,14],[1,3,5,7,9,13,14],[1,3,5,10,11,13,14],[1,4,5,9,10,12,13],[1,4,7,8,11,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,6,7,12,13,14],[2,3,8,9,11,12,13],[2,4,5,6,8,11,13],[2,4,7,9,11,13,14],[2,5,6,8,10,13,14],[2,5,7,8,9,10,14],[2,5,7,9,10,11,12],[3,4,5,7,8,11,12],[3,4,6,8,9,10,14],[3,4,6,9,10,11,13],[3,4,7,8,10,12,14],[3,5,6,9,11,12,14],[4,5,6,7,10,12,13]]; G[9756]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 9757: autom. group order 2, simple, residual B[9757]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,4,6,9,12,14],[1,2,4,10,11,13,14],[1,3,5,7,9,13,14],[1,3,5,10,11,12,14],[1,4,5,9,10,12,13],[1,4,7,8,11,12,14],[1,5,6,8,11,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,6,7,12,13,14],[2,3,8,9,11,12,13],[2,4,5,6,8,11,12],[2,4,7,9,11,13,14],[2,5,6,8,10,13,14],[2,5,7,8,9,10,14],[2,5,7,9,10,11,12],[3,4,5,7,8,11,13],[3,4,6,8,9,10,14],[3,4,6,9,10,11,13],[3,4,7,8,10,12,14],[3,5,6,9,11,12,14],[4,5,6,7,10,12,13]]; G[9757]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 9758: autom. group order 2, simple, residual B[9758]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,4,6,9,12,14],[1,2,4,10,11,12,14],[1,3,5,7,9,13,14],[1,3,5,10,11,13,14],[1,4,5,9,10,12,13],[1,4,7,8,11,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,6,7,12,13,14],[2,3,8,9,11,12,13],[2,4,5,6,8,11,13],[2,4,7,8,10,13,14],[2,5,6,9,10,11,13],[2,5,7,8,9,10,14],[2,5,7,9,11,12,14],[3,4,5,7,8,11,12],[3,4,6,8,9,10,14],[3,4,6,9,11,13,14],[3,4,7,9,10,11,12],[3,5,6,8,10,12,14],[4,5,6,7,10,12,13]]; G[9758]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 9759: autom. group order 2, simple, residual B[9759]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,4,6,9,12,14],[1,2,4,10,11,13,14],[1,3,5,7,9,13,14],[1,3,5,10,11,12,14],[1,4,5,9,10,12,13],[1,4,7,8,11,12,14],[1,5,6,8,11,13,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,6,7,12,13,14],[2,3,8,9,11,12,13],[2,4,5,6,8,11,12],[2,4,7,8,10,13,14],[2,5,6,9,10,11,13],[2,5,7,8,9,10,14],[2,5,7,9,11,12,14],[3,4,5,7,8,11,13],[3,4,6,8,9,10,14],[3,4,6,9,11,13,14],[3,4,7,9,10,11,12],[3,5,6,8,10,12,14],[4,5,6,7,10,12,13]]; G[9759]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 9760: autom. group order 2, simple, residual B[9760]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,4,6,9,12,14],[1,2,4,10,11,12,14],[1,3,5,7,9,13,14],[1,3,5,10,11,13,14],[1,4,5,9,10,12,13],[1,4,7,8,11,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,6,7,12,13,14],[2,3,8,9,11,12,13],[2,4,5,6,8,11,13],[2,4,7,8,10,13,14],[2,5,6,9,11,13,14],[2,5,7,8,9,10,14],[2,5,7,9,10,11,12],[3,4,5,7,8,11,12],[3,4,6,8,9,10,14],[3,4,6,9,10,11,13],[3,4,7,9,11,12,14],[3,5,6,8,10,12,14],[4,5,6,7,10,12,13]]; G[9760]:=Group([(2,3)(4,5)(6,7)(12,13)]); # Design 9761: autom. group order 2, simple B[9761]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,11,12,13],[1,3,5,7,11,12,14],[1,3,5,9,10,12,14],[1,4,5,10,11,13,14],[1,4,7,8,9,10,14],[1,5,6,8,9,11,13],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,6,7,9,13,14],[2,3,8,10,11,13,14],[2,4,5,6,8,10,14],[2,4,7,8,11,12,14],[2,5,6,9,11,12,14],[2,5,7,8,9,10,12],[2,5,7,9,10,11,13],[3,4,5,7,8,11,13],[3,4,6,8,9,11,12],[3,4,6,9,10,11,14],[3,4,7,9,10,12,13],[3,5,6,8,10,12,13],[4,5,6,7,12,13,14]]; G[9761]:=Group([(2,3)(4,5)(6,7)(10,11)(13,14)]); # Design 9762: autom. group order 2, simple B[9762]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,11,12,14],[1,3,5,7,11,12,14],[1,3,5,9,10,12,13],[1,4,5,10,11,13,14],[1,4,7,8,9,10,14],[1,5,6,8,9,11,13],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,6,7,9,13,14],[2,3,8,10,11,13,14],[2,4,5,6,8,10,14],[2,4,7,8,11,12,13],[2,5,6,8,9,11,12],[2,5,7,9,10,11,14],[2,5,7,9,10,12,13],[3,4,5,7,8,11,13],[3,4,6,9,10,11,13],[3,4,6,9,11,12,14],[3,4,7,8,9,10,12],[3,5,6,8,10,12,14],[4,5,6,7,12,13,14]]; G[9762]:=Group([(2,3)(4,5)(6,7)(10,11)(13,14)]); # Design 9763: autom. group order 2, simple, residual B[9763]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,11,12,14],[1,3,5,7,11,12,13],[1,3,5,9,10,13,14],[1,4,5,8,9,10,11],[1,4,7,8,10,12,14],[1,5,6,8,11,13,14],[1,6,7,8,9,12,13],[1,6,7,9,10,11,14],[2,3,6,7,8,9,14],[2,3,9,10,11,12,13],[2,4,5,6,10,13,14],[2,4,7,9,11,13,14],[2,5,6,8,11,12,14],[2,5,7,8,9,10,12],[2,5,7,8,10,11,13],[3,4,5,7,11,12,14],[3,4,6,8,9,11,13],[3,4,6,8,10,11,12],[3,4,7,8,10,13,14],[3,5,6,9,10,12,14],[4,5,6,7,9,12,13]]; G[9763]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9764: autom. group order 2, simple, residual B[9764]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,11,12,14],[1,3,5,7,11,12,13],[1,3,5,9,10,13,14],[1,4,5,8,10,11,14],[1,4,7,8,9,10,12],[1,5,6,8,9,11,13],[1,6,7,8,12,13,14],[1,6,7,9,10,11,14],[2,3,6,7,8,9,14],[2,3,9,10,11,12,13],[2,4,5,6,10,13,14],[2,4,7,9,11,13,14],[2,5,6,8,11,12,14],[2,5,7,8,9,10,12],[2,5,7,8,10,11,13],[3,4,5,7,11,12,14],[3,4,6,8,9,11,13],[3,4,6,8,10,11,12],[3,4,7,8,10,13,14],[3,5,6,9,10,12,14],[4,5,6,7,9,12,13]]; G[9764]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9765: autom. group order 2, simple, residual B[9765]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,11,12,14],[1,3,5,7,11,12,13],[1,3,5,9,10,13,14],[1,4,5,8,10,11,14],[1,4,7,8,9,10,12],[1,5,6,8,9,11,13],[1,6,7,8,12,13,14],[1,6,7,9,10,11,14],[2,3,6,7,8,9,14],[2,3,9,10,11,12,13],[2,4,5,6,11,13,14],[2,4,7,8,10,11,13],[2,5,6,9,10,12,14],[2,5,7,8,9,10,13],[2,5,7,8,11,12,14],[3,4,5,7,10,12,14],[3,4,6,8,9,11,12],[3,4,6,8,10,13,14],[3,4,7,9,11,13,14],[3,5,6,8,10,11,12],[4,5,6,7,9,12,13]]; G[9765]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9766: autom. group order 2, simple, residual B[9766]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,11,12,14],[1,3,5,7,11,12,13],[1,3,5,9,10,13,14],[1,4,5,8,9,10,11],[1,4,7,8,10,12,14],[1,5,6,8,11,13,14],[1,6,7,8,9,12,13],[1,6,7,9,10,11,14],[2,3,6,7,8,9,14],[2,3,9,10,11,12,13],[2,4,5,6,10,13,14],[2,4,7,8,9,11,13],[2,5,6,8,11,12,14],[2,5,7,8,10,11,13],[2,5,7,9,10,12,14],[3,4,5,7,11,12,14],[3,4,6,8,10,11,12],[3,4,6,9,11,13,14],[3,4,7,8,10,13,14],[3,5,6,8,9,10,12],[4,5,6,7,9,12,13]]; G[9766]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9767: autom. group order 2, simple, residual B[9767]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,11,12,14],[1,3,5,7,11,12,13],[1,3,5,9,10,13,14],[1,4,5,8,10,11,14],[1,4,7,8,9,10,12],[1,5,6,8,9,11,13],[1,6,7,8,12,13,14],[1,6,7,9,10,11,14],[2,3,6,7,8,9,14],[2,3,9,10,11,12,13],[2,4,5,6,10,13,14],[2,4,7,8,9,11,13],[2,5,6,8,11,12,14],[2,5,7,8,10,11,13],[2,5,7,9,10,12,14],[3,4,5,7,11,12,14],[3,4,6,8,10,11,12],[3,4,6,9,11,13,14],[3,4,7,8,10,13,14],[3,5,6,8,9,10,12],[4,5,6,7,9,12,13]]; G[9767]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9768: autom. group order 2, simple, residual B[9768]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,11,12,14],[1,3,5,7,11,12,13],[1,3,5,9,10,13,14],[1,4,5,8,10,11,14],[1,4,7,8,9,11,12],[1,5,6,8,9,10,13],[1,6,7,8,12,13,14],[1,6,7,9,10,11,14],[2,3,6,7,8,9,14],[2,3,9,10,11,12,13],[2,4,5,6,11,13,14],[2,4,7,8,9,10,13],[2,5,6,8,10,11,12],[2,5,7,8,11,13,14],[2,5,7,9,10,12,14],[3,4,5,7,10,12,14],[3,4,6,8,10,12,14],[3,4,6,9,11,13,14],[3,4,7,8,10,11,13],[3,5,6,8,9,11,12],[4,5,6,7,9,12,13]]; G[9768]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9769: autom. group order 2, simple, residual B[9769]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,11,12,14],[1,3,5,7,11,12,13],[1,3,5,9,10,13,14],[1,4,5,8,10,11,14],[1,4,7,8,9,10,12],[1,5,6,8,9,11,13],[1,6,7,8,12,13,14],[1,6,7,9,10,11,14],[2,3,6,7,8,9,14],[2,3,9,10,11,12,13],[2,4,5,6,11,13,14],[2,4,7,8,10,11,13],[2,5,6,8,9,10,12],[2,5,7,8,11,12,14],[2,5,7,9,10,13,14],[3,4,5,7,10,12,14],[3,4,6,8,10,13,14],[3,4,6,9,11,12,14],[3,4,7,8,9,11,13],[3,5,6,8,10,11,12],[4,5,6,7,9,12,13]]; G[9769]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9770: autom. group order 2, simple, residual B[9770]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,11,12,14],[1,3,5,7,11,12,13],[1,3,5,9,10,13,14],[1,4,5,8,10,11,14],[1,4,7,8,9,11,12],[1,5,6,8,9,10,13],[1,6,7,8,12,13,14],[1,6,7,9,10,11,14],[2,3,6,7,8,9,14],[2,3,9,10,11,12,13],[2,4,5,6,11,13,14],[2,4,7,8,10,13,14],[2,5,6,8,10,11,12],[2,5,7,8,9,11,13],[2,5,7,9,10,12,14],[3,4,5,7,10,12,14],[3,4,6,8,9,10,12],[3,4,6,9,11,13,14],[3,4,7,8,10,11,13],[3,5,6,8,11,12,14],[4,5,6,7,9,12,13]]; G[9770]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9771: autom. group order 2, simple, residual B[9771]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,11,12,14],[1,3,5,7,11,12,13],[1,3,5,9,10,13,14],[1,4,5,8,10,11,14],[1,4,7,8,9,10,12],[1,5,6,8,9,11,13],[1,6,7,8,10,11,14],[1,6,7,9,12,13,14],[2,3,6,7,8,9,14],[2,3,8,10,11,12,13],[2,4,5,6,11,13,14],[2,4,7,9,10,11,13],[2,5,6,9,10,12,14],[2,5,7,8,9,10,13],[2,5,7,8,11,12,14],[3,4,5,7,10,12,14],[3,4,6,8,9,11,12],[3,4,6,8,10,13,14],[3,4,7,9,11,13,14],[3,5,6,9,10,11,12],[4,5,6,7,8,12,13]]; G[9771]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9772: autom. group order 2, simple, residual B[9772]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,11,12,14],[1,3,5,7,11,12,13],[1,3,5,9,10,13,14],[1,4,5,8,10,11,14],[1,4,7,8,9,11,12],[1,5,6,8,9,10,13],[1,6,7,8,10,11,14],[1,6,7,9,12,13,14],[2,3,6,7,8,9,14],[2,3,8,10,11,12,13],[2,4,5,6,11,13,14],[2,4,7,9,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,9,10,12],[2,5,7,8,11,13,14],[3,4,5,7,10,12,14],[3,4,6,8,9,11,13],[3,4,6,8,10,12,14],[3,4,7,9,10,11,13],[3,5,6,9,11,12,14],[4,5,6,7,8,12,13]]; G[9772]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9773: autom. group order 2, simple, residual B[9773]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,11,12,14],[1,3,5,7,11,12,13],[1,3,5,9,10,13,14],[1,4,5,8,10,11,14],[1,4,7,8,9,11,12],[1,5,6,8,9,10,13],[1,6,7,8,10,11,14],[1,6,7,9,12,13,14],[2,3,6,7,8,9,14],[2,3,8,10,11,12,13],[2,4,5,6,11,13,14],[2,4,7,9,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,9,11,13],[2,5,7,8,10,12,14],[3,4,5,7,10,12,14],[3,4,6,8,9,10,12],[3,4,6,8,11,13,14],[3,4,7,9,10,11,13],[3,5,6,9,11,12,14],[4,5,6,7,8,12,13]]; G[9773]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9774: autom. group order 2, simple, residual B[9774]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,11,12,14],[1,3,5,7,11,12,13],[1,3,5,9,10,13,14],[1,4,5,8,10,11,14],[1,4,7,8,9,10,12],[1,5,6,8,9,11,13],[1,6,7,8,10,11,14],[1,6,7,9,12,13,14],[2,3,6,7,8,9,14],[2,3,8,10,11,12,13],[2,4,5,6,11,13,14],[2,4,7,9,10,11,13],[2,5,6,8,9,10,12],[2,5,7,8,10,13,14],[2,5,7,9,11,12,14],[3,4,5,7,10,12,14],[3,4,6,8,11,12,14],[3,4,6,9,10,13,14],[3,4,7,8,9,11,13],[3,5,6,9,10,11,12],[4,5,6,7,8,12,13]]; G[9774]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9775: autom. group order 2, simple, residual B[9775]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,11,12,14],[1,3,5,7,11,12,13],[1,3,5,9,10,13,14],[1,4,5,8,10,11,14],[1,4,7,8,9,10,12],[1,5,6,8,9,11,13],[1,6,7,8,10,11,14],[1,6,7,9,12,13,14],[2,3,6,7,8,9,14],[2,3,8,10,11,12,13],[2,4,5,6,11,13,14],[2,4,7,9,10,11,13],[2,5,6,8,10,12,14],[2,5,7,8,9,10,13],[2,5,7,9,11,12,14],[3,4,5,7,10,12,14],[3,4,6,8,9,11,12],[3,4,6,9,10,13,14],[3,4,7,8,11,13,14],[3,5,6,9,10,11,12],[4,5,6,7,8,12,13]]; G[9775]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9776: autom. group order 2, simple, residual B[9776]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,11,12,14],[1,3,5,7,11,12,13],[1,3,5,9,10,13,14],[1,4,5,8,10,11,14],[1,4,7,8,9,10,12],[1,5,6,8,9,11,13],[1,6,7,8,10,11,14],[1,6,7,9,12,13,14],[2,3,6,7,8,9,14],[2,3,8,10,11,12,13],[2,4,5,6,10,13,14],[2,4,7,8,9,11,13],[2,5,6,9,11,12,14],[2,5,7,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,7,11,12,14],[3,4,6,8,11,13,14],[3,4,6,9,10,11,12],[3,4,7,9,10,13,14],[3,5,6,8,9,10,12],[4,5,6,7,8,12,13]]; G[9776]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9777: autom. group order 2, simple, residual B[9777]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,11,12,14],[1,3,5,7,11,12,13],[1,3,5,9,10,13,14],[1,4,5,8,10,11,14],[1,4,7,8,9,11,12],[1,5,6,8,9,10,13],[1,6,7,8,10,11,14],[1,6,7,9,12,13,14],[2,3,6,7,8,9,14],[2,3,8,10,11,12,13],[2,4,5,6,11,13,14],[2,4,7,8,9,10,13],[2,5,6,9,10,11,12],[2,5,7,8,10,12,14],[2,5,7,9,11,13,14],[3,4,5,7,10,12,14],[3,4,6,8,11,13,14],[3,4,6,9,10,12,14],[3,4,7,9,10,11,13],[3,5,6,8,9,11,12],[4,5,6,7,8,12,13]]; G[9777]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9778: autom. group order 2, simple, residual B[9778]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,11,12,14],[1,3,5,7,11,12,13],[1,3,5,9,10,13,14],[1,4,5,8,10,11,14],[1,4,7,8,9,10,12],[1,5,6,8,9,11,13],[1,6,7,8,10,11,14],[1,6,7,9,12,13,14],[2,3,6,7,8,9,14],[2,3,8,10,11,12,13],[2,4,5,6,10,13,14],[2,4,7,8,11,13,14],[2,5,6,9,11,12,14],[2,5,7,8,9,10,12],[2,5,7,9,10,11,13],[3,4,5,7,11,12,14],[3,4,6,8,9,11,13],[3,4,6,9,10,11,12],[3,4,7,9,10,13,14],[3,5,6,8,10,12,14],[4,5,6,7,8,12,13]]; G[9778]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9779: autom. group order 2, simple, residual B[9779]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,11,12,14],[1,3,5,7,11,12,13],[1,3,5,9,10,13,14],[1,4,5,8,10,11,14],[1,4,7,8,9,11,12],[1,5,6,8,9,10,13],[1,6,7,8,10,11,14],[1,6,7,9,12,13,14],[2,3,6,7,8,9,14],[2,3,8,10,11,12,13],[2,4,5,6,11,13,14],[2,4,7,8,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,9,10,12],[2,5,7,9,11,13,14],[3,4,5,7,10,12,14],[3,4,6,8,9,11,13],[3,4,6,9,10,12,14],[3,4,7,9,10,11,13],[3,5,6,8,11,12,14],[4,5,6,7,8,12,13]]; G[9779]:=Group([(2,3)(4,5)(6,7)(10,11)(12,13)]); # Design 9780: autom. group order 2, simple B[9780]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,11,12,13,14],[1,2,4,6,11,12,13],[1,2,4,9,10,11,14],[1,3,5,7,11,12,14],[1,3,5,9,10,12,13],[1,4,5,8,9,13,14],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,6,7,9,13,14],[2,3,8,9,10,11,12],[2,4,5,6,10,12,13],[2,4,7,9,10,12,14],[2,5,6,8,10,11,14],[2,5,7,8,9,11,13],[2,5,7,8,12,13,14],[3,4,5,7,10,11,14],[3,4,6,8,9,12,14],[3,4,6,8,11,13,14],[3,4,7,8,10,12,13],[3,5,6,9,10,11,13],[4,5,6,7,9,11,12]]; G[9780]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 9781: autom. group order 2, simple B[9781]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,11,12,13,14],[1,2,4,6,11,12,13],[1,2,4,9,10,11,14],[1,3,5,7,11,12,14],[1,3,5,9,10,12,13],[1,4,5,8,9,13,14],[1,4,7,8,10,11,14],[1,5,6,8,10,12,13],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,6,7,9,13,14],[2,3,8,9,10,11,12],[2,4,5,6,10,12,14],[2,4,7,9,10,12,13],[2,5,6,8,11,13,14],[2,5,7,8,9,12,14],[2,5,7,8,10,11,13],[3,4,5,7,10,11,13],[3,4,6,8,9,11,13],[3,4,6,8,10,12,14],[3,4,7,8,12,13,14],[3,5,6,9,10,11,14],[4,5,6,7,9,11,12]]; G[9781]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 9782: autom. group order 2, simple B[9782]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,11,12,13,14],[1,2,4,6,11,12,13],[1,2,4,9,10,11,14],[1,3,5,7,11,12,14],[1,3,5,9,10,12,13],[1,4,5,8,9,13,14],[1,4,7,8,10,11,14],[1,5,6,8,10,12,13],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,6,7,9,13,14],[2,3,8,9,10,11,12],[2,4,5,6,10,12,14],[2,4,7,8,9,12,13],[2,5,6,8,11,13,14],[2,5,7,8,10,11,13],[2,5,7,9,10,12,14],[3,4,5,7,10,11,13],[3,4,6,8,10,12,14],[3,4,6,9,10,11,13],[3,4,7,8,12,13,14],[3,5,6,8,9,11,14],[4,5,6,7,9,11,12]]; G[9782]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 9783: autom. group order 2, simple B[9783]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,11,12,13,14],[1,2,4,6,11,12,13],[1,2,4,9,10,11,14],[1,3,5,7,11,12,14],[1,3,5,9,10,12,13],[1,4,5,8,9,13,14],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,6,7,9,13,14],[2,3,8,9,10,11,12],[2,4,5,6,10,12,14],[2,4,7,8,12,13,14],[2,5,6,8,9,11,13],[2,5,7,8,10,11,14],[2,5,7,9,10,12,13],[3,4,5,7,10,11,13],[3,4,6,8,10,12,13],[3,4,6,9,10,11,14],[3,4,7,8,9,12,14],[3,5,6,8,11,13,14],[4,5,6,7,9,11,12]]; G[9783]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 9784: autom. group order 2, simple B[9784]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,11,12,13,14],[1,2,4,6,11,12,13],[1,2,4,9,10,11,14],[1,3,5,7,11,12,14],[1,3,5,9,10,12,13],[1,4,5,8,9,13,14],[1,4,7,8,10,11,14],[1,5,6,8,10,12,13],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,6,7,9,13,14],[2,3,8,9,10,11,12],[2,4,5,6,10,12,14],[2,4,7,8,10,12,13],[2,5,6,8,11,13,14],[2,5,7,8,9,11,13],[2,5,7,9,10,12,14],[3,4,5,7,10,11,13],[3,4,6,8,9,12,14],[3,4,6,9,10,11,13],[3,4,7,8,12,13,14],[3,5,6,8,10,11,14],[4,5,6,7,9,11,12]]; G[9784]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 9785: autom. group order 2, simple B[9785]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,11,12,13,14],[1,2,4,6,11,12,13],[1,2,4,9,10,11,14],[1,3,5,7,11,12,14],[1,3,5,9,10,12,13],[1,4,5,8,9,13,14],[1,4,7,8,10,11,14],[1,5,6,8,10,12,13],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,6,7,9,13,14],[2,3,8,9,10,11,12],[2,4,5,6,10,12,14],[2,4,7,8,10,12,13],[2,5,6,8,11,13,14],[2,5,7,8,9,12,14],[2,5,7,9,10,11,13],[3,4,5,7,10,11,13],[3,4,6,8,9,11,13],[3,4,6,9,10,12,14],[3,4,7,8,12,13,14],[3,5,6,8,10,11,14],[4,5,6,7,9,11,12]]; G[9785]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 9786: autom. group order 2, simple B[9786]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,11,12,13,14],[1,2,4,6,11,12,13],[1,2,4,9,10,11,14],[1,3,5,7,11,12,14],[1,3,5,9,10,12,13],[1,4,5,8,9,13,14],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,9,11,12],[1,6,7,9,10,13,14],[2,3,6,7,9,13,14],[2,3,8,9,10,11,12],[2,4,5,6,10,12,14],[2,4,7,8,12,13,14],[2,5,6,8,10,11,13],[2,5,7,8,9,11,14],[2,5,7,9,10,12,13],[3,4,5,7,10,11,13],[3,4,6,8,9,12,13],[3,4,6,9,10,11,14],[3,4,7,8,10,12,14],[3,5,6,8,11,13,14],[4,5,6,7,9,11,12]]; G[9786]:=Group([(2,3)(4,5)(6,7)(11,12)(13,14)]); # Design 9787: autom. group order 2, simple, residual B[9787]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,6,9,13,14],[1,2,4,7,10,12,13],[1,3,5,7,11,13,14],[1,3,5,9,11,12,14],[1,4,5,8,9,10,12],[1,4,7,8,11,12,14],[1,5,6,7,10,13,14],[1,6,7,8,9,12,13],[1,6,8,9,10,11,14],[2,3,6,7,8,9,14],[2,3,9,10,12,13,14],[2,4,5,6,11,12,14],[2,4,7,9,10,11,14],[2,5,6,8,11,12,13],[2,5,7,8,9,11,13],[2,5,7,8,10,12,14],[3,4,5,8,10,13,14],[3,4,6,7,8,10,11],[3,4,6,8,12,13,14],[3,4,7,9,11,12,13],[3,5,6,7,9,10,12],[4,5,6,9,10,11,13]]; G[9787]:=Group([(2,11)(4,14)(6,12)(7,9)(8,13)]); # Design 9788: autom. group order 2, simple, residual B[9788]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,6,9,13,14],[1,2,4,7,10,12,13],[1,3,5,7,11,13,14],[1,3,5,9,11,12,14],[1,4,5,8,10,13,14],[1,4,7,8,11,12,14],[1,5,6,7,9,10,12],[1,6,7,8,9,12,13],[1,6,8,9,10,11,14],[2,3,6,7,8,9,14],[2,3,9,10,12,13,14],[2,4,5,6,11,12,14],[2,4,7,9,10,11,14],[2,5,6,8,11,12,13],[2,5,7,8,9,11,13],[2,5,7,8,10,12,14],[3,4,5,8,9,10,12],[3,4,6,7,8,10,11],[3,4,6,8,12,13,14],[3,4,7,9,11,12,13],[3,5,6,7,10,13,14],[4,5,6,9,10,11,13]]; G[9788]:=Group([(2,11)(4,14)(6,12)(7,9)(8,13)]); # Design 9789: autom. group order 2, simple, residual B[9789]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,6,10,13,14],[1,2,4,8,12,13,14],[1,3,5,7,11,12,14],[1,3,5,9,12,13,14],[1,4,5,8,9,10,11],[1,4,7,8,11,12,14],[1,5,6,9,10,13,14],[1,6,7,8,9,10,12],[1,6,7,8,9,11,13],[2,3,6,8,9,11,14],[2,3,7,8,9,10,14],[2,4,5,7,9,11,13],[2,4,6,9,11,12,14],[2,5,6,7,8,12,13],[2,5,7,9,10,12,14],[2,5,8,10,11,12,13],[3,4,5,6,8,10,12],[3,4,6,7,9,12,13],[3,4,7,8,10,13,14],[3,4,9,10,11,12,13],[3,5,6,8,11,13,14],[4,5,6,7,10,11,14]]; G[9789]:=Group([(2,9)(3,8)(4,5)(6,10)(7,11)]); # Design 9790: autom. group order 2, simple, residual B[9790]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,6,9,13,14],[1,2,4,7,10,12,13],[1,3,5,7,11,13,14],[1,3,5,9,11,12,14],[1,4,5,8,9,10,12],[1,4,7,8,11,12,14],[1,5,6,7,10,13,14],[1,6,7,8,9,12,13],[1,6,8,9,10,11,14],[2,3,6,7,8,9,14],[2,3,7,8,10,12,14],[2,4,5,8,11,13,14],[2,4,7,9,10,11,14],[2,5,6,7,9,11,12],[2,5,6,8,11,12,13],[2,5,9,10,12,13,14],[3,4,5,6,10,12,14],[3,4,6,8,12,13,14],[3,4,6,9,10,11,13],[3,4,7,9,11,12,13],[3,5,7,8,9,10,13],[4,5,6,7,8,10,11]]; G[9790]:=Group([(2,11)(4,14)(6,12)(7,9)(8,13)]); # Design 9791: autom. group order 2, simple B[9791]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,6,9,13,14],[1,2,4,7,10,12,13],[1,3,5,7,11,13,14],[1,3,5,9,11,12,14],[1,4,5,8,10,13,14],[1,4,7,8,11,12,14],[1,5,6,7,9,10,12],[1,6,7,8,9,12,13],[1,6,8,9,10,11,14],[2,3,6,7,8,9,14],[2,3,7,8,10,12,14],[2,4,5,8,9,11,12],[2,4,7,9,10,11,14],[2,5,6,7,11,13,14],[2,5,6,8,11,12,13],[2,5,9,10,12,13,14],[3,4,5,6,10,12,14],[3,4,6,8,12,13,14],[3,4,6,9,10,11,13],[3,4,7,9,11,12,13],[3,5,7,8,9,10,13],[4,5,6,7,8,10,11]]; G[9791]:=Group([(2,11)(4,14)(6,12)(7,9)(8,13)]); # Design 9792: autom. group order 2, simple, residual B[9792]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,6,11,13,14],[1,2,4,7,9,12,13],[1,3,5,7,10,12,13],[1,3,5,8,11,12,14],[1,4,5,9,10,11,14],[1,4,7,8,9,12,14],[1,5,6,7,9,10,11],[1,6,7,8,11,13,14],[1,6,8,9,10,12,13],[2,3,6,7,9,10,14],[2,3,7,8,9,11,13],[2,4,5,8,10,11,13],[2,4,7,10,11,12,14],[2,5,6,7,8,12,14],[2,5,6,8,9,11,12],[2,5,9,10,12,13,14],[3,4,5,6,12,13,14],[3,4,6,8,9,10,14],[3,4,6,9,11,12,13],[3,4,7,8,10,11,12],[3,5,7,9,11,13,14],[4,5,6,7,8,10,13]]; G[9792]:=Group([(1,10)(2,8)(3,13)(9,11)]); # Design 9793: autom. group order 2, simple, residual B[9793]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,6,9,13,14],[1,2,4,7,10,12,13],[1,3,5,7,11,13,14],[1,3,5,9,11,12,14],[1,4,5,8,9,10,12],[1,4,7,8,11,12,14],[1,5,6,7,10,13,14],[1,6,7,8,9,12,13],[1,6,8,9,10,11,14],[2,3,6,7,8,9,14],[2,3,9,10,12,13,14],[2,4,5,8,11,13,14],[2,4,7,9,10,11,14],[2,5,6,7,9,11,12],[2,5,6,8,11,12,13],[2,5,7,8,10,12,14],[3,4,5,6,10,12,14],[3,4,6,7,8,10,11],[3,4,6,8,12,13,14],[3,4,7,9,11,12,13],[3,5,7,8,9,10,13],[4,5,6,9,10,11,13]]; G[9793]:=Group([(2,11)(4,14)(6,12)(7,9)(8,13)]); # Design 9794: autom. group order 2, simple B[9794]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,11,12,13],[1,2,4,6,9,12,14],[1,2,4,7,10,13,14],[1,3,5,7,8,13,14],[1,3,5,9,11,12,14],[1,4,5,10,11,12,13],[1,4,7,8,9,10,12],[1,5,6,7,9,11,13],[1,6,7,8,10,12,14],[1,6,8,9,11,13,14],[2,3,6,7,11,12,14],[2,3,8,9,10,13,14],[2,4,5,8,11,12,14],[2,4,7,9,11,13,14],[2,5,6,7,8,12,13],[2,5,6,9,10,12,13],[2,5,7,8,9,10,11],[3,4,5,6,10,13,14],[3,4,6,7,9,10,11],[3,4,6,8,9,12,13],[3,4,7,8,11,12,13],[3,5,7,9,10,12,14],[4,5,6,8,10,11,14]]; G[9794]:=Group([(2,3)(4,5)(6,8)(7,9)(10,11)(12,13)]); # Design 9795: autom. group order 2, simple, residual B[9795]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,6,10,13,14],[1,2,4,7,9,11,12],[1,3,5,7,12,13,14],[1,3,5,9,11,13,14],[1,4,5,8,10,12,14],[1,4,7,8,9,10,14],[1,5,6,8,9,11,12],[1,6,7,8,11,13,14],[1,6,7,9,10,12,13],[2,3,7,9,10,12,14],[2,3,8,9,12,13,14],[2,4,5,6,12,13,14],[2,4,7,8,11,12,13],[2,5,6,7,8,9,13],[2,5,6,9,10,11,14],[2,5,7,8,10,11,14],[3,4,5,7,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,9,10,13],[3,4,6,8,11,12,14],[3,5,6,7,8,10,12],[4,5,9,10,11,12,13]]; G[9795]:=Group([(1,10)(3,11)(4,14)(7,9)]); # Design 9796: autom. group order 2, simple B[9796]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,10,12,14],[1,3,5,7,9,11,14],[1,3,5,8,11,12,13],[1,4,5,6,7,13,14],[1,4,6,9,11,12,13],[1,5,6,8,10,12,14],[1,6,7,8,9,10,11],[1,7,8,9,12,13,14],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,9,11,12,14],[2,4,6,7,8,11,12],[2,5,6,8,9,11,13],[2,5,7,8,10,11,14],[2,5,7,9,10,12,13],[3,4,5,8,10,12,13],[3,4,6,8,9,10,14],[3,4,7,8,11,12,14],[3,4,7,9,10,11,13],[3,5,6,7,9,10,12],[4,5,6,10,11,13,14]]; G[9796]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9797: autom. group order 2, simple B[9797]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,14],[1,3,5,8,10,12,13],[1,4,5,6,7,13,14],[1,4,6,9,10,12,13],[1,5,6,8,11,12,14],[1,6,7,8,9,10,11],[1,7,8,9,12,13,14],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,9,10,12,14],[2,4,6,7,8,11,12],[2,5,6,8,9,11,13],[2,5,7,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,8,11,12,13],[3,4,6,8,9,10,14],[3,4,7,8,10,11,14],[3,4,7,9,11,12,13],[3,5,6,7,9,10,12],[4,5,6,10,11,13,14]]; G[9797]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9798: autom. group order 2, simple, residual B[9798]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,10,12,14],[1,3,5,7,9,11,14],[1,3,5,8,11,12,13],[1,4,5,6,7,13,14],[1,4,6,9,11,12,13],[1,5,6,8,10,12,14],[1,6,7,8,9,10,11],[1,7,8,9,12,13,14],[2,3,6,7,8,9,12],[2,3,6,8,9,13,14],[2,4,5,8,11,12,13],[2,4,6,7,11,12,14],[2,5,6,9,11,13,14],[2,5,7,8,10,11,14],[2,5,7,9,10,12,13],[3,4,5,9,10,12,14],[3,4,6,8,10,13,14],[3,4,7,8,11,12,14],[3,4,7,9,10,11,13],[3,5,6,7,10,12,13],[4,5,6,8,9,10,11]]; G[9798]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9799: autom. group order 2, simple, residual B[9799]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,14],[1,3,5,8,10,12,13],[1,4,5,6,7,13,14],[1,4,6,9,11,12,13],[1,5,6,8,10,12,14],[1,6,7,8,9,10,11],[1,7,8,9,12,13,14],[2,3,6,7,8,9,12],[2,3,6,8,9,13,14],[2,4,5,8,11,12,13],[2,4,6,7,10,12,14],[2,5,6,9,10,13,14],[2,5,7,8,11,12,14],[2,5,7,9,10,11,13],[3,4,5,9,10,12,14],[3,4,6,8,11,13,14],[3,4,7,8,10,11,14],[3,4,7,9,10,12,13],[3,5,6,7,11,12,13],[4,5,6,8,9,10,11]]; G[9799]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9800: autom. group order 2, simple, residual B[9800]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,9,11,14],[1,3,5,8,10,12,14],[1,4,5,6,7,13,14],[1,4,6,9,11,12,14],[1,5,6,8,10,12,13],[1,6,7,8,9,10,11],[1,7,8,9,12,13,14],[2,3,6,7,8,9,12],[2,3,6,8,9,13,14],[2,4,5,8,11,12,14],[2,4,6,7,10,12,14],[2,5,6,8,11,13,14],[2,5,7,9,10,11,13],[2,5,7,9,10,12,14],[3,4,5,9,10,12,13],[3,4,6,9,10,13,14],[3,4,7,8,10,11,14],[3,4,7,8,11,12,13],[3,5,6,7,11,12,13],[4,5,6,8,9,10,11]]; G[9800]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9801: autom. group order 2, simple B[9801]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,14],[1,3,5,8,10,12,13],[1,4,5,6,7,13,14],[1,4,6,8,11,12,14],[1,5,6,9,10,12,13],[1,6,7,8,9,10,11],[1,7,8,9,12,13,14],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,8,11,12,13],[2,4,6,7,9,10,12],[2,5,6,8,9,10,14],[2,5,7,8,10,11,14],[2,5,7,9,11,12,13],[3,4,5,9,10,12,14],[3,4,6,8,9,11,13],[3,4,7,8,10,12,14],[3,4,7,9,10,11,13],[3,5,6,7,8,11,12],[4,5,6,10,11,13,14]]; G[9801]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9802: autom. group order 2, simple, residual B[9802]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,10,12,14],[1,3,5,7,9,11,14],[1,3,5,8,11,12,13],[1,4,5,6,7,13,14],[1,4,6,8,11,12,14],[1,5,6,9,10,12,13],[1,6,7,8,9,10,11],[1,7,8,9,12,13,14],[2,3,6,7,8,9,12],[2,3,6,8,9,13,14],[2,4,5,9,11,12,14],[2,4,6,7,11,12,13],[2,5,6,8,11,13,14],[2,5,7,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,8,10,12,13],[3,4,6,9,10,13,14],[3,4,7,8,10,11,14],[3,4,7,9,11,12,13],[3,5,6,7,10,12,14],[4,5,6,8,9,10,11]]; G[9802]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9803: autom. group order 2, simple, residual B[9803]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,14],[1,3,5,8,10,12,13],[1,4,5,6,7,13,14],[1,4,6,8,10,12,14],[1,5,6,9,11,12,13],[1,6,7,8,9,10,11],[1,7,8,9,12,13,14],[2,3,6,7,8,9,12],[2,3,6,8,9,13,14],[2,4,5,9,10,12,14],[2,4,6,7,11,12,13],[2,5,6,8,11,13,14],[2,5,7,8,10,11,14],[2,5,7,9,10,12,13],[3,4,5,8,11,12,13],[3,4,6,9,10,13,14],[3,4,7,8,11,12,14],[3,4,7,9,10,11,13],[3,5,6,7,10,12,14],[4,5,6,8,9,10,11]]; G[9803]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9804: autom. group order 2, simple B[9804]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,10,12,14],[1,3,5,7,9,11,14],[1,3,5,8,11,12,13],[1,4,5,6,7,13,14],[1,4,6,9,11,12,13],[1,5,6,8,10,12,14],[1,6,7,8,9,10,11],[1,7,8,9,12,13,14],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,8,11,12,13],[2,4,6,8,9,11,14],[2,5,6,7,9,11,12],[2,5,7,8,10,11,14],[2,5,7,9,10,12,13],[3,4,5,9,10,12,14],[3,4,6,7,8,10,12],[3,4,7,8,11,12,14],[3,4,7,9,10,11,13],[3,5,6,8,9,10,13],[4,5,6,10,11,13,14]]; G[9804]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9805: autom. group order 2, simple B[9805]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,14],[1,3,5,8,10,12,13],[1,4,5,6,7,13,14],[1,4,6,9,11,12,13],[1,5,6,8,10,12,14],[1,6,7,8,9,10,11],[1,7,8,9,12,13,14],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,8,11,12,13],[2,4,6,8,9,10,14],[2,5,6,7,9,10,12],[2,5,7,8,11,12,14],[2,5,7,9,10,11,13],[3,4,5,9,10,12,14],[3,4,6,7,8,11,12],[3,4,7,8,10,11,14],[3,4,7,9,10,12,13],[3,5,6,8,9,11,13],[4,5,6,10,11,13,14]]; G[9805]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9806: autom. group order 2, simple B[9806]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,9,11,14],[1,3,5,8,10,12,14],[1,4,5,6,7,13,14],[1,4,6,9,10,12,14],[1,5,6,8,11,12,13],[1,6,7,8,9,10,11],[1,7,8,9,12,13,14],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,8,10,12,14],[2,4,6,8,9,11,14],[2,5,6,7,8,11,12],[2,5,7,9,10,11,14],[2,5,7,9,10,12,13],[3,4,5,9,11,12,13],[3,4,6,7,9,10,12],[3,4,7,8,10,11,13],[3,4,7,8,11,12,14],[3,5,6,8,9,10,13],[4,5,6,10,11,13,14]]; G[9806]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9807: autom. group order 2, simple B[9807]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,9,11,14],[1,3,5,8,10,12,14],[1,4,5,6,7,13,14],[1,4,6,9,11,12,14],[1,5,6,8,10,12,13],[1,6,7,8,9,10,11],[1,7,8,9,12,13,14],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,8,11,12,14],[2,4,6,8,9,10,14],[2,5,6,7,8,11,12],[2,5,7,9,10,11,13],[2,5,7,9,10,12,14],[3,4,5,9,10,12,13],[3,4,6,7,9,10,12],[3,4,7,8,10,11,14],[3,4,7,8,11,12,13],[3,5,6,8,9,11,13],[4,5,6,10,11,13,14]]; G[9807]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9808: autom. group order 2, simple, residual B[9808]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,10,12,14],[1,3,5,7,9,11,14],[1,3,5,8,11,12,13],[1,4,5,6,7,13,14],[1,4,6,9,11,12,13],[1,5,6,8,10,12,14],[1,6,7,8,9,10,11],[1,7,8,9,12,13,14],[2,3,6,7,8,9,12],[2,3,6,8,9,13,14],[2,4,5,9,11,12,14],[2,4,6,8,11,13,14],[2,5,6,7,11,12,13],[2,5,7,8,10,11,14],[2,5,7,9,10,12,13],[3,4,5,8,10,12,13],[3,4,6,7,10,12,14],[3,4,7,8,11,12,14],[3,4,7,9,10,11,13],[3,5,6,9,10,13,14],[4,5,6,8,9,10,11]]; G[9808]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9809: autom. group order 2, simple, residual B[9809]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,14],[1,3,5,8,10,12,13],[1,4,5,6,7,13,14],[1,4,6,9,10,12,13],[1,5,6,8,11,12,14],[1,6,7,8,9,10,11],[1,7,8,9,12,13,14],[2,3,6,7,8,9,12],[2,3,6,8,9,13,14],[2,4,5,9,10,12,14],[2,4,6,8,11,13,14],[2,5,6,7,11,12,13],[2,5,7,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,8,11,12,13],[3,4,6,7,10,12,14],[3,4,7,8,10,11,14],[3,4,7,9,11,12,13],[3,5,6,9,10,13,14],[4,5,6,8,9,10,11]]; G[9809]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9810: autom. group order 2, simple B[9810]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,9,11,14],[1,3,5,8,10,12,14],[1,4,5,6,7,13,14],[1,4,6,8,11,12,14],[1,5,6,9,10,12,13],[1,6,7,8,9,10,11],[1,7,8,9,12,13,14],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,9,11,12,14],[2,4,6,8,9,10,14],[2,5,6,7,9,10,12],[2,5,7,8,10,11,14],[2,5,7,8,11,12,13],[3,4,5,8,10,12,13],[3,4,6,7,8,11,12],[3,4,7,9,10,11,13],[3,4,7,9,10,12,14],[3,5,6,8,9,11,13],[4,5,6,10,11,13,14]]; G[9810]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9811: autom. group order 2, simple B[9811]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,10,12,14],[1,3,5,7,9,11,14],[1,3,5,8,11,12,13],[1,4,5,6,7,13,14],[1,4,6,8,11,12,14],[1,5,6,9,10,12,13],[1,6,7,8,9,10,11],[1,7,8,9,12,13,14],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,9,11,12,14],[2,4,6,8,9,11,13],[2,5,6,7,8,11,12],[2,5,7,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,8,10,12,13],[3,4,6,7,9,10,12],[3,4,7,8,10,11,14],[3,4,7,9,11,12,13],[3,5,6,8,9,10,14],[4,5,6,10,11,13,14]]; G[9811]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9812: autom. group order 2, simple B[9812]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,14],[1,3,5,8,10,12,13],[1,4,5,6,7,13,14],[1,4,6,8,10,12,14],[1,5,6,9,11,12,13],[1,6,7,8,9,10,11],[1,7,8,9,12,13,14],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,9,10,12,14],[2,4,6,8,9,11,13],[2,5,6,7,8,11,12],[2,5,7,8,10,11,14],[2,5,7,9,10,12,13],[3,4,5,8,11,12,13],[3,4,6,7,9,10,12],[3,4,7,8,11,12,14],[3,4,7,9,10,11,13],[3,5,6,8,9,10,14],[4,5,6,10,11,13,14]]; G[9812]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9813: autom. group order 2, simple, residual B[9813]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,10,12,14],[1,3,5,7,9,11,14],[1,3,5,8,11,12,13],[1,4,5,6,7,13,14],[1,4,6,8,11,12,14],[1,5,6,9,10,12,13],[1,6,7,8,9,10,11],[1,7,8,9,12,13,14],[2,3,6,7,8,9,12],[2,3,6,8,9,13,14],[2,4,5,8,11,12,13],[2,4,6,9,11,13,14],[2,5,6,7,11,12,14],[2,5,7,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,9,10,12,14],[3,4,6,7,10,12,13],[3,4,7,8,10,11,14],[3,4,7,9,11,12,13],[3,5,6,8,10,13,14],[4,5,6,8,9,10,11]]; G[9813]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9814: autom. group order 2, simple, residual B[9814]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,14],[1,3,5,8,10,12,13],[1,4,5,6,7,13,14],[1,4,6,8,11,12,14],[1,5,6,9,10,12,13],[1,6,7,8,9,10,11],[1,7,8,9,12,13,14],[2,3,6,7,8,9,12],[2,3,6,8,9,13,14],[2,4,5,8,11,12,13],[2,4,6,9,10,13,14],[2,5,6,7,10,12,14],[2,5,7,8,10,11,14],[2,5,7,9,11,12,13],[3,4,5,9,10,12,14],[3,4,6,7,11,12,13],[3,4,7,8,10,12,14],[3,4,7,9,10,11,13],[3,5,6,8,11,13,14],[4,5,6,8,9,10,11]]; G[9814]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9815: autom. group order 2, simple, residual B[9815]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,10,12,14],[1,3,5,7,9,11,14],[1,3,5,8,11,12,13],[1,4,5,6,12,13,14],[1,4,6,7,9,11,13],[1,5,6,7,8,10,14],[1,6,8,9,10,11,12],[1,7,8,9,12,13,14],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,9,11,12,14],[2,4,6,7,8,11,12],[2,5,6,8,9,11,13],[2,5,7,8,10,11,14],[2,5,7,9,10,12,13],[3,4,5,8,10,12,13],[3,4,6,8,9,10,14],[3,4,7,8,11,12,14],[3,4,7,9,10,11,13],[3,5,6,7,9,10,12],[4,5,6,10,11,13,14]]; G[9815]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9816: autom. group order 2, simple, residual B[9816]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,14],[1,3,5,8,10,12,13],[1,4,5,6,12,13,14],[1,4,6,7,9,10,13],[1,5,6,7,8,11,14],[1,6,8,9,10,11,12],[1,7,8,9,12,13,14],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,9,10,12,14],[2,4,6,7,8,11,12],[2,5,6,8,9,11,13],[2,5,7,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,8,11,12,13],[3,4,6,8,9,10,14],[3,4,7,8,10,11,14],[3,4,7,9,11,12,13],[3,5,6,7,9,10,12],[4,5,6,10,11,13,14]]; G[9816]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9817: autom. group order 2, simple B[9817]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,14],[1,3,5,8,10,12,13],[1,4,5,6,12,13,14],[1,4,6,7,9,10,14],[1,5,6,7,8,11,13],[1,6,8,9,12,13,14],[1,7,8,9,10,11,12],[2,3,6,7,8,9,12],[2,3,6,8,9,13,14],[2,4,5,8,10,12,14],[2,4,6,7,11,12,13],[2,5,6,9,10,11,13],[2,5,7,8,11,12,14],[2,5,7,9,10,13,14],[3,4,5,9,11,12,13],[3,4,6,8,10,11,14],[3,4,7,8,11,13,14],[3,4,7,9,10,12,13],[3,5,6,7,10,12,14],[4,5,6,8,9,10,11]]; G[9817]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9818: autom. group order 2, simple B[9818]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,14],[1,3,5,8,10,12,13],[1,4,5,6,12,13,14],[1,4,6,7,9,11,13],[1,5,6,7,8,10,14],[1,6,8,9,10,11,12],[1,7,8,9,12,13,14],[2,3,6,7,8,9,12],[2,3,6,8,9,13,14],[2,4,5,8,11,12,13],[2,4,6,7,10,12,14],[2,5,6,9,10,13,14],[2,5,7,8,11,12,14],[2,5,7,9,10,11,13],[3,4,5,9,10,12,14],[3,4,6,8,11,13,14],[3,4,7,8,10,11,14],[3,4,7,9,10,12,13],[3,5,6,7,11,12,13],[4,5,6,8,9,10,11]]; G[9818]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9819: autom. group order 2, simple, residual B[9819]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,10,12,14],[1,3,5,7,9,11,14],[1,3,5,8,11,12,13],[1,4,5,6,12,13,14],[1,4,6,7,8,11,14],[1,5,6,7,9,10,13],[1,6,8,9,10,11,12],[1,7,8,9,12,13,14],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,8,11,12,13],[2,4,6,7,9,11,12],[2,5,6,8,9,11,14],[2,5,7,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,9,10,12,14],[3,4,6,8,9,10,13],[3,4,7,8,10,11,14],[3,4,7,9,11,12,13],[3,5,6,7,8,10,12],[4,5,6,10,11,13,14]]; G[9819]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9820: autom. group order 2, simple, residual B[9820]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,14],[1,3,5,8,10,12,13],[1,4,5,6,12,13,14],[1,4,6,7,8,11,14],[1,5,6,7,9,10,13],[1,6,8,9,10,11,12],[1,7,8,9,12,13,14],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,8,11,12,13],[2,4,6,7,9,10,12],[2,5,6,8,9,10,14],[2,5,7,8,10,11,14],[2,5,7,9,11,12,13],[3,4,5,9,10,12,14],[3,4,6,8,9,11,13],[3,4,7,8,10,12,14],[3,4,7,9,10,11,13],[3,5,6,7,8,11,12],[4,5,6,10,11,13,14]]; G[9820]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9821: autom. group order 2, simple B[9821]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,9,11,14],[1,3,5,8,10,12,14],[1,4,5,6,12,13,14],[1,4,6,7,8,10,14],[1,5,6,7,9,11,13],[1,6,8,9,10,11,12],[1,7,8,9,12,13,14],[2,3,6,7,8,9,12],[2,3,6,8,9,13,14],[2,4,5,9,10,12,14],[2,4,6,7,11,12,14],[2,5,6,9,10,13,14],[2,5,7,8,10,11,13],[2,5,7,8,11,12,14],[3,4,5,8,11,12,13],[3,4,6,8,11,13,14],[3,4,7,9,10,11,14],[3,4,7,9,10,12,13],[3,5,6,7,10,12,13],[4,5,6,8,9,10,11]]; G[9821]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9822: autom. group order 2, simple B[9822]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,10,12,14],[1,3,5,7,9,11,14],[1,3,5,8,11,12,13],[1,4,5,6,12,13,14],[1,4,6,7,8,11,14],[1,5,6,7,9,10,13],[1,6,8,9,10,11,12],[1,7,8,9,12,13,14],[2,3,6,7,8,9,12],[2,3,6,8,9,13,14],[2,4,5,9,11,12,14],[2,4,6,7,11,12,13],[2,5,6,8,11,13,14],[2,5,7,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,8,10,12,13],[3,4,6,9,10,13,14],[3,4,7,8,10,11,14],[3,4,7,9,11,12,13],[3,5,6,7,10,12,14],[4,5,6,8,9,10,11]]; G[9822]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9823: autom. group order 2, simple B[9823]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,14],[1,3,5,8,10,12,13],[1,4,5,6,12,13,14],[1,4,6,7,8,10,14],[1,5,6,7,9,11,13],[1,6,8,9,10,11,12],[1,7,8,9,12,13,14],[2,3,6,7,8,9,12],[2,3,6,8,9,13,14],[2,4,5,9,10,12,14],[2,4,6,7,11,12,13],[2,5,6,8,11,13,14],[2,5,7,8,10,11,14],[2,5,7,9,10,12,13],[3,4,5,8,11,12,13],[3,4,6,9,10,13,14],[3,4,7,8,11,12,14],[3,4,7,9,10,11,13],[3,5,6,7,10,12,14],[4,5,6,8,9,10,11]]; G[9823]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9824: autom. group order 2, simple, residual B[9824]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,10,12,14],[1,3,5,7,9,11,14],[1,3,5,8,11,12,13],[1,4,5,6,12,13,14],[1,4,6,7,9,11,13],[1,5,6,7,8,10,14],[1,6,8,9,10,11,12],[1,7,8,9,12,13,14],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,8,11,12,13],[2,4,6,8,9,11,14],[2,5,6,7,9,11,12],[2,5,7,8,10,11,14],[2,5,7,9,10,12,13],[3,4,5,9,10,12,14],[3,4,6,7,8,10,12],[3,4,7,8,11,12,14],[3,4,7,9,10,11,13],[3,5,6,8,9,10,13],[4,5,6,10,11,13,14]]; G[9824]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9825: autom. group order 2, simple, residual B[9825]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,14],[1,3,5,8,10,12,13],[1,4,5,6,12,13,14],[1,4,6,7,9,11,13],[1,5,6,7,8,10,14],[1,6,8,9,10,11,12],[1,7,8,9,12,13,14],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,8,11,12,13],[2,4,6,8,9,10,14],[2,5,6,7,9,10,12],[2,5,7,8,11,12,14],[2,5,7,9,10,11,13],[3,4,5,9,10,12,14],[3,4,6,7,8,11,12],[3,4,7,8,10,11,14],[3,4,7,9,10,12,13],[3,5,6,8,9,11,13],[4,5,6,10,11,13,14]]; G[9825]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9826: autom. group order 2, simple B[9826]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,14],[1,3,5,8,10,12,13],[1,4,5,6,12,13,14],[1,4,6,7,9,10,13],[1,5,6,7,8,11,14],[1,6,8,9,10,11,12],[1,7,8,9,12,13,14],[2,3,6,7,8,9,12],[2,3,6,8,9,13,14],[2,4,5,9,10,12,14],[2,4,6,8,11,13,14],[2,5,6,7,11,12,13],[2,5,7,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,8,11,12,13],[3,4,6,7,10,12,14],[3,4,7,8,10,11,14],[3,4,7,9,11,12,13],[3,5,6,9,10,13,14],[4,5,6,8,9,10,11]]; G[9826]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9827: autom. group order 2, simple B[9827]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,9,11,14],[1,3,5,8,10,12,14],[1,4,5,6,12,13,14],[1,4,6,7,9,10,14],[1,5,6,7,8,11,13],[1,6,8,9,12,13,14],[1,7,8,9,10,11,12],[2,3,6,7,8,9,12],[2,3,6,8,9,13,14],[2,4,5,9,11,12,14],[2,4,6,8,10,11,14],[2,5,6,7,10,12,14],[2,5,7,8,11,13,14],[2,5,7,9,10,12,13],[3,4,5,8,10,12,13],[3,4,6,7,11,12,13],[3,4,7,8,11,12,14],[3,4,7,9,10,13,14],[3,5,6,9,10,11,13],[4,5,6,8,9,10,11]]; G[9827]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9828: autom. group order 2, simple, residual B[9828]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,9,11,14],[1,3,5,8,10,12,14],[1,4,5,6,12,13,14],[1,4,6,7,8,10,14],[1,5,6,7,9,11,13],[1,6,8,9,10,11,12],[1,7,8,9,12,13,14],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,9,10,12,14],[2,4,6,8,9,11,14],[2,5,6,7,9,10,12],[2,5,7,8,10,11,13],[2,5,7,8,11,12,14],[3,4,5,8,11,12,13],[3,4,6,7,8,11,12],[3,4,7,9,10,11,14],[3,4,7,9,10,12,13],[3,5,6,8,9,10,13],[4,5,6,10,11,13,14]]; G[9828]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9829: autom. group order 2, simple, residual B[9829]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,9,11,14],[1,3,5,8,10,12,14],[1,4,5,6,12,13,14],[1,4,6,7,8,11,14],[1,5,6,7,9,10,13],[1,6,8,9,10,11,12],[1,7,8,9,12,13,14],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,9,11,12,14],[2,4,6,8,9,10,14],[2,5,6,7,9,10,12],[2,5,7,8,10,11,14],[2,5,7,8,11,12,13],[3,4,5,8,10,12,13],[3,4,6,7,8,11,12],[3,4,7,9,10,11,13],[3,4,7,9,10,12,14],[3,5,6,8,9,11,13],[4,5,6,10,11,13,14]]; G[9829]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9830: autom. group order 2, simple, residual B[9830]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,10,12,14],[1,3,5,7,9,11,14],[1,3,5,8,11,12,13],[1,4,5,6,12,13,14],[1,4,6,7,8,11,14],[1,5,6,7,9,10,13],[1,6,8,9,10,11,12],[1,7,8,9,12,13,14],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,9,11,12,14],[2,4,6,8,9,11,13],[2,5,6,7,8,11,12],[2,5,7,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,8,10,12,13],[3,4,6,7,9,10,12],[3,4,7,8,10,11,14],[3,4,7,9,11,12,13],[3,5,6,8,9,10,14],[4,5,6,10,11,13,14]]; G[9830]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9831: autom. group order 2, simple, residual B[9831]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,14],[1,3,5,8,10,12,13],[1,4,5,6,12,13,14],[1,4,6,7,8,10,14],[1,5,6,7,9,11,13],[1,6,8,9,10,11,12],[1,7,8,9,12,13,14],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,9,10,12,14],[2,4,6,8,9,11,13],[2,5,6,7,8,11,12],[2,5,7,8,10,11,14],[2,5,7,9,10,12,13],[3,4,5,8,11,12,13],[3,4,6,7,9,10,12],[3,4,7,8,11,12,14],[3,4,7,9,10,11,13],[3,5,6,8,9,10,14],[4,5,6,10,11,13,14]]; G[9831]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9832: autom. group order 2, simple B[9832]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,10,12,14],[1,3,5,7,9,11,14],[1,3,5,8,11,12,13],[1,4,5,6,12,13,14],[1,4,6,7,8,11,14],[1,5,6,7,9,10,13],[1,6,8,9,10,11,12],[1,7,8,9,12,13,14],[2,3,6,7,8,9,12],[2,3,6,8,9,13,14],[2,4,5,8,11,12,13],[2,4,6,9,11,13,14],[2,5,6,7,11,12,14],[2,5,7,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,9,10,12,14],[3,4,6,7,10,12,13],[3,4,7,8,10,11,14],[3,4,7,9,11,12,13],[3,5,6,8,10,13,14],[4,5,6,8,9,10,11]]; G[9832]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9833: autom. group order 2, simple B[9833]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,14],[1,3,5,8,10,12,13],[1,4,5,6,12,13,14],[1,4,6,7,8,11,14],[1,5,6,7,9,10,13],[1,6,8,9,10,11,12],[1,7,8,9,12,13,14],[2,3,6,7,8,9,12],[2,3,6,8,9,13,14],[2,4,5,8,11,12,13],[2,4,6,9,10,13,14],[2,5,6,7,10,12,14],[2,5,7,8,10,11,14],[2,5,7,9,11,12,13],[3,4,5,9,10,12,14],[3,4,6,7,11,12,13],[3,4,7,8,10,12,14],[3,4,7,9,10,11,13],[3,5,6,8,11,13,14],[4,5,6,8,9,10,11]]; G[9833]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9834: autom. group order 2, simple B[9834]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,9,11,14],[1,3,5,8,10,12,14],[1,4,5,6,12,13,14],[1,4,6,7,8,11,14],[1,5,6,7,9,10,13],[1,6,8,9,12,13,14],[1,7,8,9,10,11,12],[2,3,6,7,8,9,12],[2,3,6,8,9,13,14],[2,4,5,8,10,12,14],[2,4,6,9,10,11,14],[2,5,6,7,11,12,14],[2,5,7,8,11,12,13],[2,5,7,9,10,13,14],[3,4,5,9,11,12,13],[3,4,6,7,10,12,13],[3,4,7,8,11,13,14],[3,4,7,9,10,12,14],[3,5,6,8,10,11,13],[4,5,6,8,9,10,11]]; G[9834]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9835: autom. group order 2, simple B[9835]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,9,11,14],[1,3,5,8,10,12,14],[1,4,5,6,7,13,14],[1,4,6,9,10,12,14],[1,5,6,8,11,12,13],[1,6,7,8,9,10,11],[1,7,8,9,12,13,14],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,9,10,12,14],[2,4,7,8,11,12,14],[2,5,6,7,9,11,12],[2,5,6,8,9,10,13],[2,5,7,8,10,11,14],[3,4,5,8,11,12,13],[3,4,6,7,8,10,12],[3,4,6,8,9,11,14],[3,4,7,9,10,11,13],[3,5,7,9,10,12,13],[4,5,6,10,11,13,14]]; G[9835]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9836: autom. group order 2, simple B[9836]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,14],[1,3,5,8,10,12,13],[1,4,5,6,7,13,14],[1,4,6,9,10,12,13],[1,5,6,8,11,12,14],[1,6,7,8,9,10,11],[1,7,8,9,12,13,14],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,9,11,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,10,12],[2,5,6,8,9,10,14],[2,5,7,8,11,12,13],[3,4,5,8,10,12,14],[3,4,6,7,8,11,12],[3,4,6,8,9,11,13],[3,4,7,9,10,12,14],[3,5,7,9,10,11,13],[4,5,6,10,11,13,14]]; G[9836]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9837: autom. group order 2, simple B[9837]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,9,11,14],[1,3,5,8,10,12,14],[1,4,5,6,7,13,14],[1,4,6,9,11,12,14],[1,5,6,8,10,12,13],[1,6,7,8,9,10,11],[1,7,8,9,12,13,14],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,9,10,12,14],[2,4,7,8,10,11,14],[2,5,6,7,9,10,12],[2,5,6,8,9,11,13],[2,5,7,8,11,12,14],[3,4,5,8,11,12,13],[3,4,6,7,8,11,12],[3,4,6,8,9,10,14],[3,4,7,9,10,12,13],[3,5,7,9,10,11,13],[4,5,6,10,11,13,14]]; G[9837]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9838: autom. group order 2, simple B[9838]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,9,11,14],[1,3,5,8,10,12,14],[1,4,5,6,7,13,14],[1,4,6,9,10,12,14],[1,5,6,8,11,12,13],[1,6,7,8,9,10,11],[1,7,8,9,12,13,14],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,9,10,12,14],[2,4,7,8,11,12,14],[2,5,6,7,8,10,12],[2,5,6,8,9,11,14],[2,5,7,9,10,11,13],[3,4,5,8,11,12,13],[3,4,6,7,9,11,12],[3,4,6,8,9,10,13],[3,4,7,8,10,11,14],[3,5,7,9,10,12,13],[4,5,6,10,11,13,14]]; G[9838]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9839: autom. group order 2, simple B[9839]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,9,11,14],[1,3,5,8,10,12,14],[1,4,5,6,7,13,14],[1,4,6,9,10,12,14],[1,5,6,8,11,12,13],[1,6,7,8,9,10,11],[1,7,8,9,12,13,14],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,9,11,12,14],[2,4,7,8,10,11,14],[2,5,6,7,8,11,12],[2,5,6,8,9,10,14],[2,5,7,9,10,12,13],[3,4,5,8,10,12,13],[3,4,6,7,9,10,12],[3,4,6,8,9,11,13],[3,4,7,8,11,12,14],[3,5,7,9,10,11,13],[4,5,6,10,11,13,14]]; G[9839]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9840: autom. group order 2, simple B[9840]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,14],[1,3,5,8,10,12,13],[1,4,5,6,7,13,14],[1,4,6,9,11,12,13],[1,5,6,8,10,12,14],[1,6,7,8,9,10,11],[1,7,8,9,12,13,14],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,9,10,12,13],[2,4,7,8,10,11,14],[2,5,6,7,8,11,12],[2,5,6,8,9,11,13],[2,5,7,9,10,12,14],[3,4,5,8,11,12,14],[3,4,6,7,9,10,12],[3,4,6,8,9,10,14],[3,4,7,8,11,12,13],[3,5,7,9,10,11,13],[4,5,6,10,11,13,14]]; G[9840]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9841: autom. group order 2, simple, residual B[9841]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,9,11,14],[1,3,5,8,10,12,14],[1,4,5,6,7,13,14],[1,4,6,9,10,12,14],[1,5,6,8,11,12,13],[1,6,7,8,9,10,11],[1,7,8,9,12,13,14],[2,3,6,7,8,9,12],[2,3,6,8,9,13,14],[2,4,5,9,10,12,14],[2,4,7,8,11,12,14],[2,5,6,7,10,12,13],[2,5,6,9,11,13,14],[2,5,7,8,10,11,14],[3,4,5,8,11,12,13],[3,4,6,7,11,12,14],[3,4,6,8,10,13,14],[3,4,7,9,10,11,13],[3,5,7,9,10,12,13],[4,5,6,8,9,10,11]]; G[9841]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9842: autom. group order 2, simple, residual B[9842]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,14],[1,3,5,8,10,12,13],[1,4,5,6,7,13,14],[1,4,6,9,10,12,13],[1,5,6,8,11,12,14],[1,6,7,8,9,10,11],[1,7,8,9,12,13,14],[2,3,6,7,8,9,12],[2,3,6,8,9,13,14],[2,4,5,9,11,12,13],[2,4,7,8,10,11,14],[2,5,6,7,10,12,14],[2,5,6,9,10,13,14],[2,5,7,8,11,12,13],[3,4,5,8,10,12,14],[3,4,6,7,11,12,13],[3,4,6,8,11,13,14],[3,4,7,9,10,12,14],[3,5,7,9,10,11,13],[4,5,6,8,9,10,11]]; G[9842]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9843: autom. group order 2, simple, residual B[9843]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,9,11,14],[1,3,5,8,10,12,14],[1,4,5,6,7,13,14],[1,4,6,9,11,12,14],[1,5,6,8,10,12,13],[1,6,7,8,9,10,11],[1,7,8,9,12,13,14],[2,3,6,7,8,9,12],[2,3,6,8,9,13,14],[2,4,5,9,10,12,14],[2,4,7,8,10,11,14],[2,5,6,7,11,12,13],[2,5,6,9,10,13,14],[2,5,7,8,11,12,14],[3,4,5,8,11,12,13],[3,4,6,7,10,12,14],[3,4,6,8,11,13,14],[3,4,7,9,10,12,13],[3,5,7,9,10,11,13],[4,5,6,8,9,10,11]]; G[9843]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9844: autom. group order 2, simple, residual B[9844]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,9,11,14],[1,3,5,8,10,12,14],[1,4,5,6,7,13,14],[1,4,6,9,10,12,14],[1,5,6,8,11,12,13],[1,6,7,8,9,10,11],[1,7,8,9,12,13,14],[2,3,6,7,8,9,12],[2,3,6,8,9,13,14],[2,4,5,9,10,12,14],[2,4,7,8,11,12,14],[2,5,6,7,11,12,14],[2,5,6,8,10,13,14],[2,5,7,9,10,11,13],[3,4,5,8,11,12,13],[3,4,6,7,10,12,13],[3,4,6,9,11,13,14],[3,4,7,8,10,11,14],[3,5,7,9,10,12,13],[4,5,6,8,9,10,11]]; G[9844]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9845: autom. group order 2, simple, residual B[9845]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,14],[1,3,5,8,10,12,13],[1,4,5,6,7,13,14],[1,4,6,9,11,12,13],[1,5,6,8,10,12,14],[1,6,7,8,9,10,11],[1,7,8,9,12,13,14],[2,3,6,7,8,9,12],[2,3,6,8,9,13,14],[2,4,5,9,10,12,13],[2,4,7,8,10,11,14],[2,5,6,7,11,12,13],[2,5,6,8,11,13,14],[2,5,7,9,10,12,14],[3,4,5,8,11,12,14],[3,4,6,7,10,12,14],[3,4,6,9,10,13,14],[3,4,7,8,11,12,13],[3,5,7,9,10,11,13],[4,5,6,8,9,10,11]]; G[9845]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9846: autom. group order 2, simple B[9846]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,14],[1,3,5,8,10,12,13],[1,4,5,6,7,13,14],[1,4,6,8,10,12,14],[1,5,6,9,11,12,13],[1,6,7,8,9,10,11],[1,7,8,9,12,13,14],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,8,11,12,14],[2,4,7,9,10,11,13],[2,5,6,7,9,10,12],[2,5,6,8,9,10,14],[2,5,7,8,11,12,13],[3,4,5,9,10,12,13],[3,4,6,7,8,11,12],[3,4,6,8,9,11,13],[3,4,7,9,10,12,14],[3,5,7,8,10,11,14],[4,5,6,10,11,13,14]]; G[9846]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9847: autom. group order 2, simple B[9847]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,14],[1,3,5,8,10,12,13],[1,4,5,6,7,13,14],[1,4,6,8,11,12,14],[1,5,6,9,10,12,13],[1,6,7,8,9,10,11],[1,7,8,9,12,13,14],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,8,10,12,14],[2,4,7,9,10,11,13],[2,5,6,7,8,11,12],[2,5,6,8,9,11,13],[2,5,7,9,10,12,14],[3,4,5,9,11,12,13],[3,4,6,7,9,10,12],[3,4,6,8,9,10,14],[3,4,7,8,11,12,13],[3,5,7,8,10,11,14],[4,5,6,10,11,13,14]]; G[9847]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9848: autom. group order 2, simple, residual B[9848]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,14],[1,3,5,8,10,12,13],[1,4,5,6,7,13,14],[1,4,6,8,10,12,14],[1,5,6,9,11,12,13],[1,6,7,8,9,10,11],[1,7,8,9,12,13,14],[2,3,6,7,8,9,12],[2,3,6,8,9,13,14],[2,4,5,8,11,12,14],[2,4,7,9,10,11,13],[2,5,6,7,10,12,14],[2,5,6,9,10,13,14],[2,5,7,8,11,12,13],[3,4,5,9,10,12,13],[3,4,6,7,11,12,13],[3,4,6,8,11,13,14],[3,4,7,9,10,12,14],[3,5,7,8,10,11,14],[4,5,6,8,9,10,11]]; G[9848]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9849: autom. group order 2, simple, residual B[9849]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,14],[1,3,5,8,10,12,13],[1,4,5,6,7,13,14],[1,4,6,8,11,12,14],[1,5,6,9,10,12,13],[1,6,7,8,9,10,11],[1,7,8,9,12,13,14],[2,3,6,7,8,9,12],[2,3,6,8,9,13,14],[2,4,5,8,10,12,14],[2,4,7,9,10,11,13],[2,5,6,7,11,12,13],[2,5,6,8,11,13,14],[2,5,7,9,10,12,14],[3,4,5,9,11,12,13],[3,4,6,7,10,12,14],[3,4,6,9,10,13,14],[3,4,7,8,11,12,13],[3,5,7,8,10,11,14],[4,5,6,8,9,10,11]]; G[9849]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9850: autom. group order 2, simple, residual B[9850]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,9,11,14],[1,3,5,8,10,12,14],[1,4,5,6,12,13,14],[1,4,6,7,9,10,14],[1,5,6,7,8,11,13],[1,6,8,9,10,11,12],[1,7,8,9,12,13,14],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,9,10,12,14],[2,4,7,8,11,12,14],[2,5,6,7,9,11,12],[2,5,6,8,9,10,13],[2,5,7,8,10,11,14],[3,4,5,8,11,12,13],[3,4,6,7,8,10,12],[3,4,6,8,9,11,14],[3,4,7,9,10,11,13],[3,5,7,9,10,12,13],[4,5,6,10,11,13,14]]; G[9850]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9851: autom. group order 2, simple, residual B[9851]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,14],[1,3,5,8,10,12,13],[1,4,5,6,12,13,14],[1,4,6,7,9,10,13],[1,5,6,7,8,11,14],[1,6,8,9,10,11,12],[1,7,8,9,12,13,14],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,9,11,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,10,12],[2,5,6,8,9,10,14],[2,5,7,8,11,12,13],[3,4,5,8,10,12,14],[3,4,6,7,8,11,12],[3,4,6,8,9,11,13],[3,4,7,9,10,12,14],[3,5,7,9,10,11,13],[4,5,6,10,11,13,14]]; G[9851]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9852: autom. group order 2, simple, residual B[9852]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,9,11,14],[1,3,5,8,10,12,14],[1,4,5,6,12,13,14],[1,4,6,7,9,11,14],[1,5,6,7,8,10,13],[1,6,8,9,10,11,12],[1,7,8,9,12,13,14],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,9,10,12,14],[2,4,7,8,10,11,14],[2,5,6,7,9,10,12],[2,5,6,8,9,11,13],[2,5,7,8,11,12,14],[3,4,5,8,11,12,13],[3,4,6,7,8,11,12],[3,4,6,8,9,10,14],[3,4,7,9,10,12,13],[3,5,7,9,10,11,13],[4,5,6,10,11,13,14]]; G[9852]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9853: autom. group order 2, simple, residual B[9853]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,9,11,14],[1,3,5,8,10,12,14],[1,4,5,6,12,13,14],[1,4,6,7,9,10,14],[1,5,6,7,8,11,13],[1,6,8,9,10,11,12],[1,7,8,9,12,13,14],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,9,10,12,14],[2,4,7,8,11,12,14],[2,5,6,7,8,10,12],[2,5,6,8,9,11,14],[2,5,7,9,10,11,13],[3,4,5,8,11,12,13],[3,4,6,7,9,11,12],[3,4,6,8,9,10,13],[3,4,7,8,10,11,14],[3,5,7,9,10,12,13],[4,5,6,10,11,13,14]]; G[9853]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9854: autom. group order 2, simple, residual B[9854]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,14],[1,3,5,8,10,12,13],[1,4,5,6,12,13,14],[1,4,6,7,9,11,13],[1,5,6,7,8,10,14],[1,6,8,9,10,11,12],[1,7,8,9,12,13,14],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,9,10,12,13],[2,4,7,8,10,11,14],[2,5,6,7,8,11,12],[2,5,6,8,9,11,13],[2,5,7,9,10,12,14],[3,4,5,8,11,12,14],[3,4,6,7,9,10,12],[3,4,6,8,9,10,14],[3,4,7,8,11,12,13],[3,5,7,9,10,11,13],[4,5,6,10,11,13,14]]; G[9854]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9855: autom. group order 2, simple B[9855]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,10,12,14],[1,3,5,7,9,11,14],[1,3,5,8,11,12,13],[1,4,5,6,12,13,14],[1,4,6,7,9,11,14],[1,5,6,7,8,10,13],[1,6,8,9,12,13,14],[1,7,8,9,10,11,12],[2,3,6,7,8,9,12],[2,3,6,8,9,13,14],[2,4,5,9,11,12,13],[2,4,7,8,11,13,14],[2,5,6,7,10,12,14],[2,5,6,9,10,11,13],[2,5,7,8,11,12,14],[3,4,5,8,10,12,14],[3,4,6,7,11,12,13],[3,4,6,8,10,11,14],[3,4,7,9,10,12,13],[3,5,7,9,10,13,14],[4,5,6,8,9,10,11]]; G[9855]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9856: autom. group order 2, simple B[9856]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,9,11,14],[1,3,5,8,10,12,14],[1,4,5,6,12,13,14],[1,4,6,7,9,10,14],[1,5,6,7,8,11,13],[1,6,8,9,10,11,12],[1,7,8,9,12,13,14],[2,3,6,7,8,9,12],[2,3,6,8,9,13,14],[2,4,5,9,10,12,14],[2,4,7,8,11,12,14],[2,5,6,7,10,12,13],[2,5,6,9,11,13,14],[2,5,7,8,10,11,14],[3,4,5,8,11,12,13],[3,4,6,7,11,12,14],[3,4,6,8,10,13,14],[3,4,7,9,10,11,13],[3,5,7,9,10,12,13],[4,5,6,8,9,10,11]]; G[9856]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9857: autom. group order 2, simple B[9857]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,14],[1,3,5,8,10,12,13],[1,4,5,6,12,13,14],[1,4,6,7,9,10,13],[1,5,6,7,8,11,14],[1,6,8,9,10,11,12],[1,7,8,9,12,13,14],[2,3,6,7,8,9,12],[2,3,6,8,9,13,14],[2,4,5,9,11,12,13],[2,4,7,8,10,11,14],[2,5,6,7,10,12,14],[2,5,6,9,10,13,14],[2,5,7,8,11,12,13],[3,4,5,8,10,12,14],[3,4,6,7,11,12,13],[3,4,6,8,11,13,14],[3,4,7,9,10,12,14],[3,5,7,9,10,11,13],[4,5,6,8,9,10,11]]; G[9857]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9858: autom. group order 2, simple B[9858]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,9,11,14],[1,3,5,8,10,12,14],[1,4,5,6,12,13,14],[1,4,6,7,9,10,14],[1,5,6,7,8,11,13],[1,6,8,9,12,13,14],[1,7,8,9,10,11,12],[2,3,6,7,8,9,12],[2,3,6,8,9,13,14],[2,4,5,9,10,12,14],[2,4,7,8,11,12,14],[2,5,6,7,11,12,14],[2,5,6,9,10,11,13],[2,5,7,8,10,13,14],[3,4,5,8,11,12,13],[3,4,6,7,10,12,13],[3,4,6,8,10,11,14],[3,4,7,9,11,13,14],[3,5,7,9,10,12,13],[4,5,6,8,9,10,11]]; G[9858]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9859: autom. group order 2, simple B[9859]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,9,11,14],[1,3,5,8,10,12,14],[1,4,5,6,12,13,14],[1,4,6,7,9,11,14],[1,5,6,7,8,10,13],[1,6,8,9,10,11,12],[1,7,8,9,12,13,14],[2,3,6,7,8,9,12],[2,3,6,8,9,13,14],[2,4,5,9,10,12,14],[2,4,7,8,10,11,14],[2,5,6,7,11,12,13],[2,5,6,9,10,13,14],[2,5,7,8,11,12,14],[3,4,5,8,11,12,13],[3,4,6,7,10,12,14],[3,4,6,8,11,13,14],[3,4,7,9,10,12,13],[3,5,7,9,10,11,13],[4,5,6,8,9,10,11]]; G[9859]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9860: autom. group order 2, simple B[9860]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,9,11,14],[1,3,5,8,10,12,14],[1,4,5,6,12,13,14],[1,4,6,7,9,10,14],[1,5,6,7,8,11,13],[1,6,8,9,10,11,12],[1,7,8,9,12,13,14],[2,3,6,7,8,9,12],[2,3,6,8,9,13,14],[2,4,5,9,10,12,14],[2,4,7,8,11,12,14],[2,5,6,7,11,12,14],[2,5,6,8,10,13,14],[2,5,7,9,10,11,13],[3,4,5,8,11,12,13],[3,4,6,7,10,12,13],[3,4,6,9,11,13,14],[3,4,7,8,10,11,14],[3,5,7,9,10,12,13],[4,5,6,8,9,10,11]]; G[9860]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9861: autom. group order 2, simple B[9861]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,14],[1,3,5,8,10,12,13],[1,4,5,6,12,13,14],[1,4,6,7,9,11,13],[1,5,6,7,8,10,14],[1,6,8,9,10,11,12],[1,7,8,9,12,13,14],[2,3,6,7,8,9,12],[2,3,6,8,9,13,14],[2,4,5,9,10,12,13],[2,4,7,8,10,11,14],[2,5,6,7,11,12,13],[2,5,6,8,11,13,14],[2,5,7,9,10,12,14],[3,4,5,8,11,12,14],[3,4,6,7,10,12,14],[3,4,6,9,10,13,14],[3,4,7,8,11,12,13],[3,5,7,9,10,11,13],[4,5,6,8,9,10,11]]; G[9861]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9862: autom. group order 2, simple, residual B[9862]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,14],[1,3,5,8,10,12,13],[1,4,5,6,12,13,14],[1,4,6,7,8,10,14],[1,5,6,7,9,11,13],[1,6,8,9,10,11,12],[1,7,8,9,12,13,14],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,8,11,12,14],[2,4,7,9,10,11,13],[2,5,6,7,9,10,12],[2,5,6,8,9,10,14],[2,5,7,8,11,12,13],[3,4,5,9,10,12,13],[3,4,6,7,8,11,12],[3,4,6,8,9,11,13],[3,4,7,9,10,12,14],[3,5,7,8,10,11,14],[4,5,6,10,11,13,14]]; G[9862]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9863: autom. group order 2, simple, residual B[9863]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,9,11,14],[1,3,5,8,10,12,14],[1,4,5,6,12,13,14],[1,4,6,7,8,11,14],[1,5,6,7,9,10,13],[1,6,8,9,10,11,12],[1,7,8,9,12,13,14],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,8,10,12,14],[2,4,7,9,10,11,14],[2,5,6,7,9,10,12],[2,5,6,8,9,11,14],[2,5,7,8,11,12,13],[3,4,5,9,11,12,13],[3,4,6,7,8,11,12],[3,4,6,8,9,10,13],[3,4,7,9,10,12,14],[3,5,7,8,10,11,13],[4,5,6,10,11,13,14]]; G[9863]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9864: autom. group order 2, simple, residual B[9864]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,9,11,14],[1,3,5,8,10,12,14],[1,4,5,6,12,13,14],[1,4,6,7,8,11,14],[1,5,6,7,9,10,13],[1,6,8,9,10,11,12],[1,7,8,9,12,13,14],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,8,11,12,14],[2,4,7,9,10,12,14],[2,5,6,7,9,11,12],[2,5,6,8,9,10,14],[2,5,7,8,10,11,13],[3,4,5,9,10,12,13],[3,4,6,7,8,10,12],[3,4,6,8,9,11,13],[3,4,7,9,10,11,14],[3,5,7,8,11,12,13],[4,5,6,10,11,13,14]]; G[9864]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9865: autom. group order 2, simple, residual B[9865]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,9,11,14],[1,3,5,8,10,12,14],[1,4,5,6,12,13,14],[1,4,6,7,8,10,14],[1,5,6,7,9,11,13],[1,6,8,9,10,11,12],[1,7,8,9,12,13,14],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,8,11,12,14],[2,4,7,9,10,11,14],[2,5,6,7,8,11,12],[2,5,6,8,9,10,13],[2,5,7,9,10,12,14],[3,4,5,9,10,12,13],[3,4,6,7,9,10,12],[3,4,6,8,9,11,14],[3,4,7,8,11,12,13],[3,5,7,8,10,11,13],[4,5,6,10,11,13,14]]; G[9865]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9866: autom. group order 2, simple, residual B[9866]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,14],[1,3,5,8,10,12,13],[1,4,5,6,12,13,14],[1,4,6,7,8,11,14],[1,5,6,7,9,10,13],[1,6,8,9,10,11,12],[1,7,8,9,12,13,14],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,8,10,12,14],[2,4,7,9,10,11,13],[2,5,6,7,8,11,12],[2,5,6,8,9,11,13],[2,5,7,9,10,12,14],[3,4,5,9,11,12,13],[3,4,6,7,9,10,12],[3,4,6,8,9,10,14],[3,4,7,8,11,12,13],[3,5,7,8,10,11,14],[4,5,6,10,11,13,14]]; G[9866]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9867: autom. group order 2, simple, residual B[9867]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,9,11,14],[1,3,5,8,10,12,14],[1,4,5,6,12,13,14],[1,4,6,7,8,11,14],[1,5,6,7,9,10,13],[1,6,8,9,10,11,12],[1,7,8,9,12,13,14],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,8,11,12,14],[2,4,7,9,10,12,14],[2,5,6,7,8,10,12],[2,5,6,8,9,11,13],[2,5,7,9,10,11,14],[3,4,5,9,10,12,13],[3,4,6,7,9,11,12],[3,4,6,8,9,10,14],[3,4,7,8,10,11,13],[3,5,7,8,11,12,13],[4,5,6,10,11,13,14]]; G[9867]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9868: autom. group order 2, simple B[9868]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,14],[1,3,5,8,10,12,13],[1,4,5,6,12,13,14],[1,4,6,7,8,10,14],[1,5,6,7,9,11,13],[1,6,8,9,10,11,12],[1,7,8,9,12,13,14],[2,3,6,7,8,9,12],[2,3,6,8,9,13,14],[2,4,5,8,11,12,14],[2,4,7,9,10,11,13],[2,5,6,7,10,12,14],[2,5,6,9,10,13,14],[2,5,7,8,11,12,13],[3,4,5,9,10,12,13],[3,4,6,7,11,12,13],[3,4,6,8,11,13,14],[3,4,7,9,10,12,14],[3,5,7,8,10,11,14],[4,5,6,8,9,10,11]]; G[9868]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9869: autom. group order 2, simple B[9869]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,9,11,14],[1,3,5,8,10,12,14],[1,4,5,6,12,13,14],[1,4,6,7,8,11,14],[1,5,6,7,9,10,13],[1,6,8,9,10,11,12],[1,7,8,9,12,13,14],[2,3,6,7,8,9,12],[2,3,6,8,9,13,14],[2,4,5,8,11,12,14],[2,4,7,9,10,12,14],[2,5,6,7,10,12,14],[2,5,6,9,11,13,14],[2,5,7,8,10,11,13],[3,4,5,9,10,12,13],[3,4,6,7,11,12,13],[3,4,6,8,10,13,14],[3,4,7,9,10,11,14],[3,5,7,8,11,12,13],[4,5,6,8,9,10,11]]; G[9869]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9870: autom. group order 2, simple B[9870]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,10,12,14],[1,3,5,7,9,11,14],[1,3,5,8,11,12,13],[1,4,5,6,12,13,14],[1,4,6,7,8,11,14],[1,5,6,7,9,10,13],[1,6,8,9,12,13,14],[1,7,8,9,10,11,12],[2,3,6,7,8,9,12],[2,3,6,8,9,13,14],[2,4,5,8,11,12,14],[2,4,7,9,11,12,13],[2,5,6,7,10,12,14],[2,5,6,8,10,11,13],[2,5,7,9,11,13,14],[3,4,5,9,10,12,13],[3,4,6,7,11,12,13],[3,4,6,9,10,11,14],[3,4,7,8,10,13,14],[3,5,7,8,10,12,14],[4,5,6,8,9,10,11]]; G[9870]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9871: autom. group order 2, simple B[9871]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,9,11,14],[1,3,5,8,10,12,14],[1,4,5,6,12,13,14],[1,4,6,7,8,10,14],[1,5,6,7,9,11,13],[1,6,8,9,10,11,12],[1,7,8,9,12,13,14],[2,3,6,7,8,9,12],[2,3,6,8,9,13,14],[2,4,5,8,11,12,14],[2,4,7,9,10,11,14],[2,5,6,7,10,12,13],[2,5,6,8,11,13,14],[2,5,7,9,10,12,14],[3,4,5,9,10,12,13],[3,4,6,7,11,12,14],[3,4,6,9,10,13,14],[3,4,7,8,11,12,13],[3,5,7,8,10,11,13],[4,5,6,8,9,10,11]]; G[9871]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9872: autom. group order 2, simple B[9872]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,14],[1,3,5,8,10,12,13],[1,4,5,6,12,13,14],[1,4,6,7,8,11,14],[1,5,6,7,9,10,13],[1,6,8,9,10,11,12],[1,7,8,9,12,13,14],[2,3,6,7,8,9,12],[2,3,6,8,9,13,14],[2,4,5,8,10,12,14],[2,4,7,9,10,11,13],[2,5,6,7,11,12,13],[2,5,6,8,11,13,14],[2,5,7,9,10,12,14],[3,4,5,9,11,12,13],[3,4,6,7,10,12,14],[3,4,6,9,10,13,14],[3,4,7,8,11,12,13],[3,5,7,8,10,11,14],[4,5,6,8,9,10,11]]; G[9872]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9873: autom. group order 2, simple B[9873]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,9,11,14],[1,3,5,8,10,12,14],[1,4,5,6,12,13,14],[1,4,6,7,8,11,14],[1,5,6,7,9,10,13],[1,6,8,9,10,11,12],[1,7,8,9,12,13,14],[2,3,6,7,8,9,12],[2,3,6,8,9,13,14],[2,4,5,8,11,12,14],[2,4,7,9,10,12,14],[2,5,6,7,11,12,13],[2,5,6,8,10,13,14],[2,5,7,9,10,11,14],[3,4,5,9,10,12,13],[3,4,6,7,10,12,14],[3,4,6,9,11,13,14],[3,4,7,8,10,11,13],[3,5,7,8,11,12,13],[4,5,6,8,9,10,11]]; G[9873]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9874: autom. group order 2, simple B[9874]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,9,11,14],[1,3,5,8,10,12,14],[1,4,5,6,12,13,14],[1,4,6,7,8,11,14],[1,5,6,7,9,10,13],[1,6,8,9,12,13,14],[1,7,8,9,10,11,12],[2,3,6,7,8,9,12],[2,3,6,8,9,13,14],[2,4,5,8,11,12,14],[2,4,7,9,10,12,14],[2,5,6,7,10,12,14],[2,5,6,8,10,11,13],[2,5,7,9,11,13,14],[3,4,5,9,10,12,13],[3,4,6,7,11,12,13],[3,4,6,9,10,11,14],[3,4,7,8,10,13,14],[3,5,7,8,11,12,13],[4,5,6,8,9,10,11]]; G[9874]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9875: autom. group order 2, simple, residual B[9875]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,8,10,12,14],[1,2,4,9,10,13,14],[1,3,5,8,11,13,14],[1,3,5,9,11,12,14],[1,4,5,6,12,13,14],[1,4,6,7,8,11,13],[1,5,6,7,9,10,13],[1,6,7,8,9,12,14],[1,7,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,8,9,13,14],[2,4,5,7,8,11,12],[2,4,6,7,9,11,14],[2,5,6,8,10,12,13],[2,5,6,9,10,11,14],[2,5,7,11,12,13,14],[3,4,5,7,9,10,12],[3,4,6,8,10,11,14],[3,4,6,9,11,12,13],[3,4,7,10,12,13,14],[3,5,6,7,8,10,14],[4,5,8,9,10,11,13]]; G[9875]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9876: autom. group order 2, simple, residual B[9876]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,8,10,13,14],[1,2,4,9,10,12,14],[1,3,5,8,11,12,14],[1,3,5,9,11,13,14],[1,4,5,6,12,13,14],[1,4,6,7,8,11,13],[1,5,6,7,9,10,13],[1,6,7,8,9,12,14],[1,7,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,8,9,13,14],[2,4,5,7,8,11,12],[2,4,6,7,9,11,14],[2,5,6,8,10,12,13],[2,5,6,9,10,11,14],[2,5,7,11,12,13,14],[3,4,5,7,9,10,12],[3,4,6,8,10,11,14],[3,4,6,9,11,12,13],[3,4,7,10,12,13,14],[3,5,6,7,8,10,14],[4,5,8,9,10,11,13]]; G[9876]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9877: autom. group order 2, simple, residual B[9877]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,8,10,13,14],[1,2,4,9,11,12,14],[1,3,5,8,10,12,14],[1,3,5,9,11,13,14],[1,4,5,6,12,13,14],[1,4,6,7,8,11,13],[1,5,6,7,9,10,13],[1,6,7,8,9,12,14],[1,7,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,8,9,13,14],[2,4,5,7,8,11,12],[2,4,6,7,9,10,14],[2,5,6,8,10,12,13],[2,5,6,9,10,11,14],[2,5,7,11,12,13,14],[3,4,5,7,9,10,12],[3,4,6,8,10,11,14],[3,4,6,9,11,12,13],[3,4,7,10,12,13,14],[3,5,6,7,8,11,14],[4,5,8,9,10,11,13]]; G[9877]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9878: autom. group order 2, simple, residual B[9878]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,8,10,12,14],[1,2,4,9,11,13,14],[1,3,5,8,10,13,14],[1,3,5,9,11,12,14],[1,4,5,6,12,13,14],[1,4,6,7,8,11,13],[1,5,6,7,9,10,13],[1,6,7,8,9,12,14],[1,7,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,8,9,13,14],[2,4,5,7,8,11,12],[2,4,6,7,9,10,14],[2,5,6,8,10,11,14],[2,5,6,9,11,12,13],[2,5,7,10,12,13,14],[3,4,5,7,9,10,12],[3,4,6,8,10,12,13],[3,4,6,9,10,11,14],[3,4,7,11,12,13,14],[3,5,6,7,8,11,14],[4,5,8,9,10,11,13]]; G[9878]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9879: autom. group order 2, simple, residual B[9879]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,8,10,12,14],[1,2,4,9,10,13,14],[1,3,5,8,11,13,14],[1,3,5,9,11,12,14],[1,4,5,6,12,13,14],[1,4,6,7,8,11,13],[1,5,6,7,9,10,13],[1,6,7,8,9,12,14],[1,7,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,8,9,13,14],[2,4,5,7,8,11,12],[2,4,6,9,11,12,13],[2,5,6,7,9,11,14],[2,5,6,8,10,11,14],[2,5,7,10,12,13,14],[3,4,5,7,9,10,12],[3,4,6,7,8,10,14],[3,4,6,9,10,11,14],[3,4,7,11,12,13,14],[3,5,6,8,10,12,13],[4,5,8,9,10,11,13]]; G[9879]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9880: autom. group order 2, simple, residual B[9880]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,8,10,13,14],[1,2,4,9,10,12,14],[1,3,5,8,11,12,14],[1,3,5,9,11,13,14],[1,4,5,6,12,13,14],[1,4,6,7,8,11,13],[1,5,6,7,9,10,13],[1,6,7,8,9,12,14],[1,7,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,8,9,13,14],[2,4,5,7,8,11,12],[2,4,6,9,11,12,13],[2,5,6,7,9,11,14],[2,5,6,8,10,11,14],[2,5,7,10,12,13,14],[3,4,5,7,9,10,12],[3,4,6,7,8,10,14],[3,4,6,9,10,11,14],[3,4,7,11,12,13,14],[3,5,6,8,10,12,13],[4,5,8,9,10,11,13]]; G[9880]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9881: autom. group order 2, simple, residual B[9881]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,8,10,12,14],[1,2,4,9,11,13,14],[1,3,5,8,10,13,14],[1,3,5,9,11,12,14],[1,4,5,6,12,13,14],[1,4,6,7,8,10,13],[1,5,6,7,9,11,13],[1,6,7,8,9,12,14],[1,7,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,8,9,13,14],[2,4,5,7,8,11,12],[2,4,6,9,10,11,14],[2,5,6,7,9,10,14],[2,5,6,8,11,12,13],[2,5,7,10,12,13,14],[3,4,5,7,9,10,12],[3,4,6,7,8,11,14],[3,4,6,9,10,12,13],[3,4,7,11,12,13,14],[3,5,6,8,10,11,14],[4,5,8,9,10,11,13]]; G[9881]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9882: autom. group order 2, simple, residual B[9882]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,8,10,12,14],[1,2,4,9,11,13,14],[1,3,5,8,10,13,14],[1,3,5,9,11,12,14],[1,4,5,6,12,13,14],[1,4,6,7,8,11,13],[1,5,6,7,9,10,13],[1,6,7,8,9,12,14],[1,7,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,8,9,13,14],[2,4,5,7,8,10,12],[2,4,6,9,10,11,14],[2,5,6,7,9,10,14],[2,5,6,8,11,12,13],[2,5,7,11,12,13,14],[3,4,5,7,9,11,12],[3,4,6,7,8,11,14],[3,4,6,9,10,12,13],[3,4,7,10,12,13,14],[3,5,6,8,10,11,14],[4,5,8,9,10,11,13]]; G[9882]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9883: autom. group order 2, simple, residual B[9883]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,8,10,13,14],[1,2,4,9,11,12,14],[1,3,5,8,10,12,14],[1,3,5,9,11,13,14],[1,4,5,6,12,13,14],[1,4,6,7,8,11,13],[1,5,6,7,9,10,13],[1,6,7,8,9,12,14],[1,7,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,8,9,13,14],[2,4,5,7,8,10,12],[2,4,6,9,10,11,14],[2,5,6,7,9,10,14],[2,5,6,8,11,12,13],[2,5,7,11,12,13,14],[3,4,5,7,9,11,12],[3,4,6,7,8,11,14],[3,4,6,9,10,12,13],[3,4,7,10,12,13,14],[3,5,6,8,10,11,14],[4,5,8,9,10,11,13]]; G[9883]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9884: autom. group order 2, simple, residual B[9884]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,8,10,12,14],[1,2,4,9,11,13,14],[1,3,5,8,10,13,14],[1,3,5,9,11,12,14],[1,4,5,6,12,13,14],[1,4,6,7,8,11,13],[1,5,6,7,9,10,13],[1,6,7,8,9,12,14],[1,7,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,8,9,13,14],[2,4,5,7,8,11,12],[2,4,6,9,10,12,13],[2,5,6,7,9,11,14],[2,5,6,8,10,11,14],[2,5,7,10,12,13,14],[3,4,5,7,9,10,12],[3,4,6,7,8,10,14],[3,4,6,9,10,11,14],[3,4,7,11,12,13,14],[3,5,6,8,11,12,13],[4,5,8,9,10,11,13]]; G[9884]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9885: autom. group order 2, simple, residual B[9885]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,8,10,13,14],[1,2,4,9,11,12,14],[1,3,5,8,10,12,14],[1,3,5,9,11,13,14],[1,4,5,6,12,13,14],[1,4,6,7,8,11,13],[1,5,6,7,9,10,13],[1,6,7,8,9,12,14],[1,7,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,8,9,13,14],[2,4,5,7,8,11,12],[2,4,6,9,10,12,13],[2,5,6,7,9,11,14],[2,5,6,8,10,11,14],[2,5,7,10,12,13,14],[3,4,5,7,9,10,12],[3,4,6,7,8,10,14],[3,4,6,9,10,11,14],[3,4,7,11,12,13,14],[3,5,6,8,11,12,13],[4,5,8,9,10,11,13]]; G[9885]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9886: autom. group order 2, simple, residual B[9886]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,8,10,12,14],[1,2,4,9,10,13,14],[1,3,5,8,11,13,14],[1,3,5,9,11,12,14],[1,4,5,6,12,13,14],[1,4,6,7,8,11,13],[1,5,6,7,9,10,13],[1,6,7,8,9,12,14],[1,7,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,8,9,13,14],[2,4,5,7,8,11,12],[2,4,6,9,11,12,13],[2,5,6,7,8,10,14],[2,5,6,9,10,11,14],[2,5,7,11,12,13,14],[3,4,5,7,9,10,12],[3,4,6,7,9,11,14],[3,4,6,8,10,11,14],[3,4,7,10,12,13,14],[3,5,6,8,10,12,13],[4,5,8,9,10,11,13]]; G[9886]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9887: autom. group order 2, simple, residual B[9887]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,8,10,13,14],[1,2,4,9,10,12,14],[1,3,5,8,11,12,14],[1,3,5,9,11,13,14],[1,4,5,6,12,13,14],[1,4,6,7,8,11,13],[1,5,6,7,9,10,13],[1,6,7,8,9,12,14],[1,7,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,8,9,13,14],[2,4,5,7,8,11,12],[2,4,6,9,11,12,13],[2,5,6,7,8,10,14],[2,5,6,9,10,11,14],[2,5,7,11,12,13,14],[3,4,5,7,9,10,12],[3,4,6,7,9,11,14],[3,4,6,8,10,11,14],[3,4,7,10,12,13,14],[3,5,6,8,10,12,13],[4,5,8,9,10,11,13]]; G[9887]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9888: autom. group order 2, simple, residual B[9888]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,8,10,12,14],[1,2,4,9,11,13,14],[1,3,5,8,10,13,14],[1,3,5,9,11,12,14],[1,4,5,6,12,13,14],[1,4,6,7,8,10,13],[1,5,6,7,9,11,13],[1,6,7,8,9,12,14],[1,7,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,8,9,13,14],[2,4,5,7,8,11,12],[2,4,6,9,10,11,14],[2,5,6,7,8,11,14],[2,5,6,9,10,12,13],[2,5,7,10,12,13,14],[3,4,5,7,9,10,12],[3,4,6,7,9,10,14],[3,4,6,8,11,12,13],[3,4,7,11,12,13,14],[3,5,6,8,10,11,14],[4,5,8,9,10,11,13]]; G[9888]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9889: autom. group order 2, simple, residual B[9889]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,8,10,12,14],[1,2,4,9,11,13,14],[1,3,5,8,10,13,14],[1,3,5,9,11,12,14],[1,4,5,6,12,13,14],[1,4,6,7,8,11,13],[1,5,6,7,9,10,13],[1,6,7,8,9,12,14],[1,7,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,8,9,13,14],[2,4,5,7,8,11,12],[2,4,6,9,10,12,13],[2,5,6,7,8,10,14],[2,5,6,9,10,11,14],[2,5,7,11,12,13,14],[3,4,5,7,9,10,12],[3,4,6,7,9,11,14],[3,4,6,8,10,11,14],[3,4,7,10,12,13,14],[3,5,6,8,11,12,13],[4,5,8,9,10,11,13]]; G[9889]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9890: autom. group order 2, simple, residual B[9890]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,8,10,13,14],[1,2,4,9,11,12,14],[1,3,5,8,10,12,14],[1,3,5,9,11,13,14],[1,4,5,6,12,13,14],[1,4,6,7,8,11,13],[1,5,6,7,9,10,13],[1,6,7,8,9,12,14],[1,7,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,8,9,13,14],[2,4,5,7,8,11,12],[2,4,6,9,10,12,13],[2,5,6,7,8,10,14],[2,5,6,9,10,11,14],[2,5,7,11,12,13,14],[3,4,5,7,9,10,12],[3,4,6,7,9,11,14],[3,4,6,8,10,11,14],[3,4,7,10,12,13,14],[3,5,6,8,11,12,13],[4,5,8,9,10,11,13]]; G[9890]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9891: autom. group order 2, simple, residual B[9891]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,13],[1,3,5,8,10,12,14],[1,4,5,6,7,12,14],[1,4,6,9,11,13,14],[1,5,6,8,10,13,14],[1,6,7,8,9,12,13],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,12,14],[2,4,5,9,10,12,13],[2,4,6,7,8,10,11],[2,5,6,8,9,11,14],[2,5,6,9,10,12,13],[2,5,7,8,11,13,14],[3,4,5,8,11,12,13],[3,4,6,8,9,10,14],[3,4,6,8,11,12,13],[3,4,7,9,10,13,14],[3,5,6,7,9,10,11],[4,5,7,10,11,12,14]]; G[9891]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9892: autom. group order 2, simple, residual B[9892]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,13],[1,3,5,8,10,12,14],[1,4,5,6,7,12,14],[1,4,6,9,11,13,14],[1,5,6,8,10,13,14],[1,6,7,8,9,12,13],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,9,10,12,13],[2,4,6,7,8,10,11],[2,5,6,8,9,11,14],[2,5,6,9,10,12,13],[2,5,7,8,11,12,14],[3,4,5,8,11,12,13],[3,4,6,8,9,10,14],[3,4,6,8,11,12,13],[3,4,7,9,10,12,14],[3,5,6,7,9,10,11],[4,5,7,10,11,13,14]]; G[9892]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9893: autom. group order 2, simple, residual B[9893]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,13],[1,3,5,8,10,12,14],[1,4,5,6,7,12,14],[1,4,6,9,10,13,14],[1,5,6,8,11,13,14],[1,6,7,8,9,12,13],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,12,14],[2,4,5,9,11,12,13],[2,4,6,7,8,10,11],[2,5,6,8,9,10,14],[2,5,6,8,11,12,13],[2,5,7,9,10,13,14],[3,4,5,8,10,12,13],[3,4,6,8,9,11,14],[3,4,6,9,10,12,13],[3,4,7,8,11,13,14],[3,5,6,7,9,10,11],[4,5,7,10,11,12,14]]; G[9893]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9894: autom. group order 2, simple B[9894]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,12,13],[1,2,4,9,10,13,14],[1,3,5,7,9,12,14],[1,3,5,8,11,13,14],[1,4,5,6,7,10,11],[1,4,6,9,10,12,14],[1,5,6,8,11,12,13],[1,6,7,8,9,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,10,11],[2,4,5,9,11,12,13],[2,4,6,7,8,11,14],[2,5,6,8,9,10,13],[2,5,6,8,10,12,14],[2,5,7,9,11,12,14],[3,4,5,8,10,12,14],[3,4,6,8,9,11,14],[3,4,6,9,11,12,13],[3,4,7,8,10,12,13],[3,5,6,7,9,10,13],[4,5,7,10,11,13,14]]; G[9894]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9895: autom. group order 2, simple, residual B[9895]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,13],[1,3,5,8,10,12,14],[1,4,5,6,7,12,14],[1,4,6,8,11,13,14],[1,5,6,9,10,13,14],[1,6,7,8,9,12,13],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,12,14],[2,4,5,8,10,12,13],[2,4,6,7,9,10,11],[2,5,6,8,9,11,14],[2,5,6,9,10,12,13],[2,5,7,8,11,13,14],[3,4,5,9,11,12,13],[3,4,6,8,9,10,14],[3,4,6,8,11,12,13],[3,4,7,9,10,13,14],[3,5,6,7,8,10,11],[4,5,7,10,11,12,14]]; G[9895]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9896: autom. group order 2, simple, residual B[9896]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,13],[1,3,5,8,10,12,14],[1,4,5,6,7,12,14],[1,4,6,8,11,13,14],[1,5,6,9,10,13,14],[1,6,7,8,9,12,13],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,8,10,12,13],[2,4,6,7,9,10,11],[2,5,6,8,9,11,14],[2,5,6,9,10,12,13],[2,5,7,8,11,12,14],[3,4,5,9,11,12,13],[3,4,6,8,9,10,14],[3,4,6,8,11,12,13],[3,4,7,9,10,12,14],[3,5,6,7,8,10,11],[4,5,7,10,11,13,14]]; G[9896]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9897: autom. group order 2, simple B[9897]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,12,13],[1,2,4,9,10,13,14],[1,3,5,7,9,12,14],[1,3,5,8,11,13,14],[1,4,5,6,7,10,11],[1,4,6,8,11,12,13],[1,5,6,9,10,12,14],[1,6,7,8,9,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,10,11],[2,4,5,8,10,12,14],[2,4,6,7,9,11,14],[2,5,6,8,9,10,13],[2,5,6,9,11,12,13],[2,5,7,8,11,12,14],[3,4,5,9,11,12,13],[3,4,6,8,9,11,14],[3,4,6,8,10,12,14],[3,4,7,9,10,12,13],[3,5,6,7,8,10,13],[4,5,7,10,11,13,14]]; G[9897]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9898: autom. group order 2, simple, residual B[9898]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,13],[1,3,5,8,10,12,14],[1,4,5,6,7,12,14],[1,4,6,8,10,13,14],[1,5,6,9,11,13,14],[1,6,7,8,9,12,13],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,12,14],[2,4,5,8,11,12,13],[2,4,6,7,9,10,11],[2,5,6,8,9,10,14],[2,5,6,8,11,12,13],[2,5,7,9,10,13,14],[3,4,5,9,10,12,13],[3,4,6,8,9,11,14],[3,4,6,9,10,12,13],[3,4,7,8,11,13,14],[3,5,6,7,8,10,11],[4,5,7,10,11,12,14]]; G[9898]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9899: autom. group order 2, simple, residual B[9899]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,13],[1,3,5,8,10,12,14],[1,4,5,6,7,12,14],[1,4,6,9,10,13,14],[1,5,6,8,11,13,14],[1,6,7,8,9,12,13],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,12,14],[2,4,5,9,10,12,13],[2,4,6,8,11,12,13],[2,5,6,7,9,10,11],[2,5,6,8,9,11,14],[2,5,7,8,10,13,14],[3,4,5,8,11,12,13],[3,4,6,7,8,10,11],[3,4,6,8,9,10,14],[3,4,7,9,11,13,14],[3,5,6,9,10,12,13],[4,5,7,10,11,12,14]]; G[9899]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9900: autom. group order 2, simple, residual B[9900]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,13],[1,3,5,8,10,12,14],[1,4,5,6,7,12,14],[1,4,6,9,10,13,14],[1,5,6,8,11,13,14],[1,6,7,8,9,12,13],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,9,10,12,13],[2,4,6,8,11,12,13],[2,5,6,7,9,10,11],[2,5,6,8,9,11,14],[2,5,7,8,10,12,14],[3,4,5,8,11,12,13],[3,4,6,7,8,10,11],[3,4,6,8,9,10,14],[3,4,7,9,11,12,14],[3,5,6,9,10,12,13],[4,5,7,10,11,13,14]]; G[9900]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9901: autom. group order 2, simple, residual B[9901]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,13],[1,3,5,8,10,12,14],[1,4,5,6,7,12,14],[1,4,6,9,10,13,14],[1,5,6,8,11,13,14],[1,6,7,8,9,12,13],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,12,14],[2,4,5,9,10,12,13],[2,4,6,8,11,12,13],[2,5,6,7,8,10,11],[2,5,6,8,9,10,14],[2,5,7,9,11,13,14],[3,4,5,8,11,12,13],[3,4,6,7,9,10,11],[3,4,6,8,9,11,14],[3,4,7,8,10,13,14],[3,5,6,9,10,12,13],[4,5,7,10,11,12,14]]; G[9901]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9902: autom. group order 2, simple, residual B[9902]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,13],[1,3,5,8,10,12,14],[1,4,5,6,7,12,14],[1,4,6,9,10,13,14],[1,5,6,8,11,13,14],[1,6,7,8,9,12,13],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,9,10,12,13],[2,4,6,8,11,12,13],[2,5,6,7,8,10,11],[2,5,6,8,9,10,14],[2,5,7,9,11,12,14],[3,4,5,8,11,12,13],[3,4,6,7,9,10,11],[3,4,6,8,9,11,14],[3,4,7,8,10,12,14],[3,5,6,9,10,12,13],[4,5,7,10,11,13,14]]; G[9902]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9903: autom. group order 2, simple, residual B[9903]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,13],[1,3,5,8,10,12,14],[1,4,5,6,7,12,14],[1,4,6,9,10,13,14],[1,5,6,8,11,13,14],[1,6,7,8,9,12,13],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,12,14],[2,4,5,8,10,12,13],[2,4,6,8,9,11,14],[2,5,6,7,9,10,11],[2,5,6,8,11,12,13],[2,5,7,9,10,13,14],[3,4,5,9,11,12,13],[3,4,6,7,8,10,11],[3,4,6,9,10,12,13],[3,4,7,8,11,13,14],[3,5,6,8,9,10,14],[4,5,7,10,11,12,14]]; G[9903]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9904: autom. group order 2, simple, residual B[9904]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,13],[1,3,5,8,10,12,14],[1,4,5,6,7,12,14],[1,4,6,9,11,13,14],[1,5,6,8,10,13,14],[1,6,7,8,9,12,13],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,12,14],[2,4,5,8,11,12,13],[2,4,6,8,9,10,14],[2,5,6,7,9,10,11],[2,5,6,8,11,12,13],[2,5,7,9,10,13,14],[3,4,5,9,10,12,13],[3,4,6,7,8,10,11],[3,4,6,9,10,12,13],[3,4,7,8,11,13,14],[3,5,6,8,9,11,14],[4,5,7,10,11,12,14]]; G[9904]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9905: autom. group order 2, simple, residual B[9905]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,13],[1,3,5,8,10,12,14],[1,4,5,6,7,12,14],[1,4,6,9,11,13,14],[1,5,6,8,10,13,14],[1,6,7,8,9,12,13],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,8,11,12,13],[2,4,6,8,9,10,14],[2,5,6,7,9,10,11],[2,5,6,8,11,12,13],[2,5,7,9,10,12,14],[3,4,5,9,10,12,13],[3,4,6,7,8,10,11],[3,4,6,9,10,12,13],[3,4,7,8,11,12,14],[3,5,6,8,9,11,14],[4,5,7,10,11,13,14]]; G[9905]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9906: autom. group order 2, simple B[9906]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,12,13],[1,2,4,9,10,13,14],[1,3,5,7,9,12,14],[1,3,5,8,11,13,14],[1,4,5,6,7,10,11],[1,4,6,9,11,12,13],[1,5,6,8,10,12,14],[1,6,7,8,9,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,10,11],[2,4,5,8,10,12,14],[2,4,6,8,9,11,14],[2,5,6,7,9,10,13],[2,5,6,8,11,12,13],[2,5,7,9,11,12,14],[3,4,5,9,11,12,13],[3,4,6,7,8,11,14],[3,4,6,9,10,12,14],[3,4,7,8,10,12,13],[3,5,6,8,9,10,13],[4,5,7,10,11,13,14]]; G[9906]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9907: autom. group order 2, simple, residual B[9907]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,13],[1,3,5,8,10,12,14],[1,4,5,6,7,12,14],[1,4,6,8,10,13,14],[1,5,6,9,11,13,14],[1,6,7,8,9,12,13],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,12,14],[2,4,5,9,10,12,13],[2,4,6,8,9,11,14],[2,5,6,7,8,10,11],[2,5,6,9,10,12,13],[2,5,7,8,11,13,14],[3,4,5,8,11,12,13],[3,4,6,7,9,10,11],[3,4,6,8,11,12,13],[3,4,7,9,10,13,14],[3,5,6,8,9,10,14],[4,5,7,10,11,12,14]]; G[9907]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9908: autom. group order 2, simple, residual B[9908]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,13],[1,3,5,8,10,12,14],[1,4,5,6,7,12,14],[1,4,6,8,10,13,14],[1,5,6,9,11,13,14],[1,6,7,8,9,12,13],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,9,10,12,13],[2,4,6,8,9,11,14],[2,5,6,7,8,10,11],[2,5,6,9,10,12,13],[2,5,7,8,11,12,14],[3,4,5,8,11,12,13],[3,4,6,7,9,10,11],[3,4,6,8,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,9,10,14],[4,5,7,10,11,13,14]]; G[9908]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9909: autom. group order 2, simple, residual B[9909]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,13],[1,3,5,8,10,12,14],[1,4,5,6,7,12,14],[1,4,6,8,11,13,14],[1,5,6,9,10,13,14],[1,6,7,8,9,12,13],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,12,14],[2,4,5,9,11,12,13],[2,4,6,8,9,10,14],[2,5,6,7,8,10,11],[2,5,6,9,10,12,13],[2,5,7,8,11,13,14],[3,4,5,8,10,12,13],[3,4,6,7,9,10,11],[3,4,6,8,11,12,13],[3,4,7,9,10,13,14],[3,5,6,8,9,11,14],[4,5,7,10,11,12,14]]; G[9909]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9910: autom. group order 2, simple, residual B[9910]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,13],[1,3,5,8,10,12,14],[1,4,5,6,7,12,14],[1,4,6,8,11,13,14],[1,5,6,9,10,13,14],[1,6,7,8,9,12,13],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,9,11,12,13],[2,4,6,8,9,10,14],[2,5,6,7,8,10,11],[2,5,6,9,10,12,13],[2,5,7,8,11,12,14],[3,4,5,8,10,12,13],[3,4,6,7,9,10,11],[3,4,6,8,11,12,13],[3,4,7,9,10,12,14],[3,5,6,8,9,11,14],[4,5,7,10,11,13,14]]; G[9910]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9911: autom. group order 2, simple B[9911]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,12,13],[1,2,4,9,10,13,14],[1,3,5,7,9,12,14],[1,3,5,8,11,13,14],[1,4,5,6,7,10,11],[1,4,6,8,10,12,14],[1,5,6,9,11,12,13],[1,6,7,8,9,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,10,11],[2,4,5,9,11,12,13],[2,4,6,8,9,11,14],[2,5,6,7,8,10,13],[2,5,6,9,10,12,14],[2,5,7,8,11,12,14],[3,4,5,8,10,12,14],[3,4,6,7,9,11,14],[3,4,6,8,11,12,13],[3,4,7,9,10,12,13],[3,5,6,8,9,10,13],[4,5,7,10,11,13,14]]; G[9911]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9912: autom. group order 2, simple, residual B[9912]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,13],[1,3,5,8,10,12,14],[1,4,5,6,7,12,14],[1,4,6,8,11,13,14],[1,5,6,9,10,13,14],[1,6,7,8,9,12,13],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,12,14],[2,4,5,8,11,12,13],[2,4,6,9,10,12,13],[2,5,6,7,9,10,11],[2,5,6,8,9,11,14],[2,5,7,8,10,13,14],[3,4,5,9,10,12,13],[3,4,6,7,8,10,11],[3,4,6,8,9,10,14],[3,4,7,9,11,13,14],[3,5,6,8,11,12,13],[4,5,7,10,11,12,14]]; G[9912]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9913: autom. group order 2, simple, residual B[9913]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,13],[1,3,5,8,10,12,14],[1,4,5,6,7,12,14],[1,4,6,8,11,13,14],[1,5,6,9,10,13,14],[1,6,7,8,9,12,13],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,8,11,12,13],[2,4,6,9,10,12,13],[2,5,6,7,9,10,11],[2,5,6,8,9,11,14],[2,5,7,8,10,12,14],[3,4,5,9,10,12,13],[3,4,6,7,8,10,11],[3,4,6,8,9,10,14],[3,4,7,9,11,12,14],[3,5,6,8,11,12,13],[4,5,7,10,11,13,14]]; G[9913]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9914: autom. group order 2, simple, residual B[9914]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,13],[1,3,5,8,10,12,14],[1,4,5,6,7,12,14],[1,4,6,8,11,13,14],[1,5,6,9,10,13,14],[1,6,7,8,9,12,13],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,12,14],[2,4,5,8,11,12,13],[2,4,6,9,10,12,13],[2,5,6,7,8,10,11],[2,5,6,8,9,10,14],[2,5,7,9,11,13,14],[3,4,5,9,10,12,13],[3,4,6,7,9,10,11],[3,4,6,8,9,11,14],[3,4,7,8,10,13,14],[3,5,6,8,11,12,13],[4,5,7,10,11,12,14]]; G[9914]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9915: autom. group order 2, simple, residual B[9915]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,13],[1,3,5,8,10,12,14],[1,4,5,6,7,12,14],[1,4,6,8,11,13,14],[1,5,6,9,10,13,14],[1,6,7,8,9,12,13],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,8,11,12,13],[2,4,6,9,10,12,13],[2,5,6,7,8,10,11],[2,5,6,8,9,10,14],[2,5,7,9,11,12,14],[3,4,5,9,10,12,13],[3,4,6,7,9,10,11],[3,4,6,8,9,11,14],[3,4,7,8,10,12,14],[3,5,6,8,11,12,13],[4,5,7,10,11,13,14]]; G[9915]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9916: autom. group order 2, simple, residual B[9916]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,10,14],[1,3,5,8,11,12,13],[1,4,5,6,11,13,14],[1,4,6,7,9,12,13],[1,5,6,7,8,12,14],[1,6,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,9,10,12,14],[2,4,6,7,8,10,11],[2,5,6,8,9,11,13],[2,5,6,9,10,12,13],[2,5,7,8,11,12,14],[3,4,5,8,10,12,13],[3,4,6,8,9,11,14],[3,4,6,8,10,12,14],[3,4,7,9,11,12,13],[3,5,6,7,9,10,11],[4,5,7,10,11,13,14]]; G[9916]:=Group([(2,3)(4,5)(8,9)(13,14)]); # Design 9917: autom. group order 2, simple, residual B[9917]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,10,14],[1,3,5,8,11,12,13],[1,4,5,6,11,13,14],[1,4,6,7,9,12,14],[1,5,6,7,8,12,13],[1,6,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,9,10,12,13],[2,4,6,7,8,10,11],[2,5,6,8,9,11,14],[2,5,6,9,10,12,13],[2,5,7,8,11,12,14],[3,4,5,8,10,12,14],[3,4,6,8,9,11,13],[3,4,6,8,10,12,14],[3,4,7,9,11,12,13],[3,5,6,7,9,10,11],[4,5,7,10,11,13,14]]; G[9917]:=Group([(2,3)(4,5)(8,9)(13,14)]); # Design 9918: autom. group order 2, simple, residual B[9918]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,10,14],[1,3,5,8,11,12,13],[1,4,5,6,11,13,14],[1,4,6,7,9,12,14],[1,5,6,7,8,12,13],[1,6,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,9,10,12,13],[2,4,6,7,8,10,11],[2,5,6,8,9,11,14],[2,5,6,8,10,12,14],[2,5,7,9,11,12,13],[3,4,5,8,10,12,14],[3,4,6,8,9,11,13],[3,4,6,9,10,12,13],[3,4,7,8,11,12,14],[3,5,6,7,9,10,11],[4,5,7,10,11,13,14]]; G[9918]:=Group([(2,3)(4,5)(8,9)(13,14)]); # Design 9919: autom. group order 2, simple, residual B[9919]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,10,14],[1,3,5,8,11,12,13],[1,4,5,6,11,13,14],[1,4,6,7,8,12,13],[1,5,6,7,9,12,14],[1,6,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,8,10,12,14],[2,4,6,7,9,10,11],[2,5,6,8,9,11,13],[2,5,6,9,10,12,13],[2,5,7,8,11,12,14],[3,4,5,9,10,12,13],[3,4,6,8,9,11,14],[3,4,6,8,10,12,14],[3,4,7,9,11,12,13],[3,5,6,7,8,10,11],[4,5,7,10,11,13,14]]; G[9919]:=Group([(2,3)(4,5)(8,9)(13,14)]); # Design 9920: autom. group order 2, simple, residual B[9920]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,10,14],[1,3,5,8,11,12,13],[1,4,5,6,11,13,14],[1,4,6,7,8,12,14],[1,5,6,7,9,12,13],[1,6,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,8,10,12,13],[2,4,6,7,9,10,11],[2,5,6,8,9,11,14],[2,5,6,9,10,12,13],[2,5,7,8,11,12,14],[3,4,5,9,10,12,14],[3,4,6,8,9,11,13],[3,4,6,8,10,12,14],[3,4,7,9,11,12,13],[3,5,6,7,8,10,11],[4,5,7,10,11,13,14]]; G[9920]:=Group([(2,3)(4,5)(8,9)(13,14)]); # Design 9921: autom. group order 2, simple, residual B[9921]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,10,14],[1,3,5,8,11,12,13],[1,4,5,6,11,13,14],[1,4,6,7,8,12,14],[1,5,6,7,9,12,13],[1,6,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,8,10,12,13],[2,4,6,7,9,10,11],[2,5,6,8,9,11,14],[2,5,6,8,10,12,14],[2,5,7,9,11,12,13],[3,4,5,9,10,12,14],[3,4,6,8,9,11,13],[3,4,6,9,10,12,13],[3,4,7,8,11,12,14],[3,5,6,7,8,10,11],[4,5,7,10,11,13,14]]; G[9921]:=Group([(2,3)(4,5)(8,9)(13,14)]); # Design 9922: autom. group order 2, simple, residual B[9922]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,14],[1,3,5,8,10,12,13],[1,4,5,6,12,13,14],[1,4,6,7,8,11,14],[1,5,6,7,9,10,13],[1,6,8,9,12,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,8,11,12,13],[2,4,6,7,9,10,12],[2,5,6,8,9,10,14],[2,5,6,8,10,11,14],[2,5,7,9,11,12,13],[3,4,5,9,10,12,14],[3,4,6,8,9,11,13],[3,4,6,9,10,11,13],[3,4,7,8,10,12,14],[3,5,6,7,8,11,12],[4,5,7,10,11,13,14]]; G[9922]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9923: autom. group order 2, simple, residual B[9923]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,11,12,13],[1,2,4,7,10,12,14],[1,2,4,9,11,13,14],[1,3,5,7,11,13,14],[1,3,5,9,10,12,14],[1,4,5,6,9,12,13],[1,4,6,7,8,10,13],[1,5,6,7,8,11,12],[1,6,8,9,12,13,14],[1,7,8,9,10,11,14],[2,3,6,7,12,13,14],[2,3,7,8,9,12,13],[2,4,5,8,10,12,14],[2,4,6,7,9,11,14],[2,5,6,8,11,12,14],[2,5,6,9,10,11,13],[2,5,7,8,9,10,13],[3,4,5,8,11,13,14],[3,4,6,8,10,13,14],[3,4,6,9,10,11,12],[3,4,7,8,9,11,12],[3,5,6,7,9,10,14],[4,5,7,10,11,12,13]]; G[9923]:=Group([(2,3)(4,5)(10,11)(12,13)]); # Design 9924: autom. group order 2, simple, residual B[9924]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,11,12,13],[1,2,4,7,10,12,14],[1,2,4,9,11,13,14],[1,3,5,7,11,13,14],[1,3,5,9,10,12,14],[1,4,5,6,9,12,13],[1,4,6,7,8,11,12],[1,5,6,7,8,10,13],[1,6,8,9,12,13,14],[1,7,8,9,10,11,14],[2,3,6,7,12,13,14],[2,3,7,8,9,12,13],[2,4,5,8,11,13,14],[2,4,6,7,9,10,14],[2,5,6,8,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,9,11,12],[3,4,5,8,10,12,14],[3,4,6,8,11,12,14],[3,4,6,9,10,11,13],[3,4,7,8,9,10,13],[3,5,6,7,9,11,14],[4,5,7,10,11,12,13]]; G[9924]:=Group([(2,3)(4,5)(10,11)(12,13)]); # Design 9925: autom. group order 2, simple, residual B[9925]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,11,12,13],[1,2,4,7,10,12,14],[1,2,4,9,11,13,14],[1,3,5,7,11,13,14],[1,3,5,9,10,12,14],[1,4,5,6,9,12,13],[1,4,6,7,8,11,13],[1,5,6,7,8,10,12],[1,6,8,9,12,13,14],[1,7,8,9,10,11,14],[2,3,6,7,12,13,14],[2,3,7,8,9,12,13],[2,4,5,8,11,12,14],[2,4,6,7,9,10,14],[2,5,6,8,10,13,14],[2,5,6,9,10,11,13],[2,5,7,8,9,11,12],[3,4,5,8,10,13,14],[3,4,6,8,11,12,14],[3,4,6,9,10,11,12],[3,4,7,8,9,10,13],[3,5,6,7,9,11,14],[4,5,7,10,11,12,13]]; G[9925]:=Group([(2,3)(4,5)(10,11)(12,13)]); # Design 9926: autom. group order 2, simple, residual B[9926]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,11,12,13],[1,2,4,7,10,12,14],[1,2,4,9,11,13,14],[1,3,5,7,11,13,14],[1,3,5,9,10,12,14],[1,4,5,6,9,12,13],[1,4,6,7,8,11,13],[1,5,6,7,8,10,12],[1,6,8,9,12,13,14],[1,7,8,9,10,11,14],[2,3,6,7,12,13,14],[2,3,7,8,9,12,13],[2,4,5,8,11,12,14],[2,4,6,7,9,10,14],[2,5,6,8,11,12,14],[2,5,6,9,10,11,13],[2,5,7,8,9,10,13],[3,4,5,8,10,13,14],[3,4,6,8,10,13,14],[3,4,6,9,10,11,12],[3,4,7,8,9,11,12],[3,5,6,7,9,11,14],[4,5,7,10,11,12,13]]; G[9926]:=Group([(2,3)(4,5)(10,11)(12,13)]); # Design 9927: autom. group order 2, simple, residual B[9927]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,9,10,14],[1,3,5,8,11,12,14],[1,4,5,6,11,13,14],[1,4,6,7,9,12,14],[1,5,6,7,8,12,13],[1,6,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,9,10,12,14],[2,4,6,8,10,12,14],[2,5,6,7,9,10,11],[2,5,6,8,9,11,13],[2,5,7,8,11,12,14],[3,4,5,8,10,12,13],[3,4,6,7,8,10,11],[3,4,6,8,9,11,14],[3,4,7,9,11,12,13],[3,5,6,9,10,12,13],[4,5,7,10,11,13,14]]; G[9927]:=Group([(2,3)(4,5)(8,9)(13,14)]); # Design 9928: autom. group order 2, simple, residual B[9928]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,9,10,14],[1,3,5,8,11,12,14],[1,4,5,6,11,13,14],[1,4,6,7,9,12,14],[1,5,6,7,8,12,13],[1,6,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,9,10,12,14],[2,4,6,8,10,12,14],[2,5,6,7,8,10,11],[2,5,6,8,9,11,14],[2,5,7,9,11,12,13],[3,4,5,8,10,12,13],[3,4,6,7,9,10,11],[3,4,6,8,9,11,13],[3,4,7,8,11,12,14],[3,5,6,9,10,12,13],[4,5,7,10,11,13,14]]; G[9928]:=Group([(2,3)(4,5)(8,9)(13,14)]); # Design 9929: autom. group order 2, simple, residual B[9929]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,10,14],[1,3,5,8,11,12,13],[1,4,5,6,11,13,14],[1,4,6,7,9,12,13],[1,5,6,7,8,12,14],[1,6,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,9,10,12,13],[2,4,6,8,10,12,14],[2,5,6,7,8,10,11],[2,5,6,8,9,11,13],[2,5,7,9,11,12,14],[3,4,5,8,10,12,14],[3,4,6,7,9,10,11],[3,4,6,8,9,11,14],[3,4,7,8,11,12,13],[3,5,6,9,10,12,13],[4,5,7,10,11,13,14]]; G[9929]:=Group([(2,3)(4,5)(8,9)(13,14)]); # Design 9930: autom. group order 2, simple, residual B[9930]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,10,14],[1,3,5,8,11,12,13],[1,4,5,6,11,13,14],[1,4,6,7,9,12,13],[1,5,6,7,8,12,14],[1,6,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,8,10,12,13],[2,4,6,8,9,11,14],[2,5,6,7,9,10,11],[2,5,6,9,10,12,13],[2,5,7,8,11,12,14],[3,4,5,9,10,12,14],[3,4,6,7,8,10,11],[3,4,6,8,10,12,14],[3,4,7,9,11,12,13],[3,5,6,8,9,11,13],[4,5,7,10,11,13,14]]; G[9930]:=Group([(2,3)(4,5)(8,9)(13,14)]); # Design 9931: autom. group order 2, simple, residual B[9931]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,10,14],[1,3,5,8,11,12,13],[1,4,5,6,11,13,14],[1,4,6,7,9,12,14],[1,5,6,7,8,12,13],[1,6,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,8,10,12,14],[2,4,6,8,9,11,13],[2,5,6,7,9,10,11],[2,5,6,9,10,12,13],[2,5,7,8,11,12,14],[3,4,5,9,10,12,13],[3,4,6,7,8,10,11],[3,4,6,8,10,12,14],[3,4,7,9,11,12,13],[3,5,6,8,9,11,14],[4,5,7,10,11,13,14]]; G[9931]:=Group([(2,3)(4,5)(8,9)(13,14)]); # Design 9932: autom. group order 2, simple, residual B[9932]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,10,14],[1,3,5,8,11,12,13],[1,4,5,6,11,13,14],[1,4,6,7,9,12,14],[1,5,6,7,8,12,13],[1,6,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,8,10,12,14],[2,4,6,8,9,11,13],[2,5,6,7,9,10,11],[2,5,6,8,10,12,14],[2,5,7,9,11,12,13],[3,4,5,9,10,12,13],[3,4,6,7,8,10,11],[3,4,6,9,10,12,13],[3,4,7,8,11,12,14],[3,5,6,8,9,11,14],[4,5,7,10,11,13,14]]; G[9932]:=Group([(2,3)(4,5)(8,9)(13,14)]); # Design 9933: autom. group order 2, simple, residual B[9933]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,9,10,14],[1,3,5,8,11,12,14],[1,4,5,6,11,13,14],[1,4,6,7,9,12,14],[1,5,6,7,8,12,13],[1,6,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,8,10,12,14],[2,4,6,8,9,11,14],[2,5,6,7,8,10,11],[2,5,6,9,10,12,13],[2,5,7,9,11,12,14],[3,4,5,9,10,12,13],[3,4,6,7,9,10,11],[3,4,6,8,10,12,14],[3,4,7,8,11,12,13],[3,5,6,8,9,11,13],[4,5,7,10,11,13,14]]; G[9933]:=Group([(2,3)(4,5)(8,9)(13,14)]); # Design 9934: autom. group order 2, simple, residual B[9934]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,9,10,14],[1,3,5,8,11,12,14],[1,4,5,6,11,13,14],[1,4,6,7,9,12,14],[1,5,6,7,8,12,13],[1,6,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,8,10,12,14],[2,4,6,8,9,11,14],[2,5,6,7,8,10,11],[2,5,6,9,10,12,14],[2,5,7,9,11,12,13],[3,4,5,9,10,12,13],[3,4,6,7,9,10,11],[3,4,6,8,10,12,13],[3,4,7,8,11,12,14],[3,5,6,8,9,11,13],[4,5,7,10,11,13,14]]; G[9934]:=Group([(2,3)(4,5)(8,9)(13,14)]); # Design 9935: autom. group order 2, simple, residual B[9935]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,9,10,14],[1,3,5,8,11,12,14],[1,4,5,6,11,13,14],[1,4,6,7,8,12,14],[1,5,6,7,9,12,13],[1,6,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,9,10,12,14],[2,4,6,8,9,11,14],[2,5,6,7,9,10,11],[2,5,6,8,10,12,13],[2,5,7,8,11,12,14],[3,4,5,8,10,12,13],[3,4,6,7,8,10,11],[3,4,6,9,10,12,14],[3,4,7,9,11,12,13],[3,5,6,8,9,11,13],[4,5,7,10,11,13,14]]; G[9935]:=Group([(2,3)(4,5)(8,9)(13,14)]); # Design 9936: autom. group order 2, simple, residual B[9936]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,10,14],[1,3,5,8,11,12,13],[1,4,5,6,11,13,14],[1,4,6,7,8,12,13],[1,5,6,7,9,12,14],[1,6,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,9,10,12,13],[2,4,6,8,9,11,14],[2,5,6,7,8,10,11],[2,5,6,9,10,12,13],[2,5,7,8,11,12,14],[3,4,5,8,10,12,14],[3,4,6,7,9,10,11],[3,4,6,8,10,12,14],[3,4,7,9,11,12,13],[3,5,6,8,9,11,13],[4,5,7,10,11,13,14]]; G[9936]:=Group([(2,3)(4,5)(8,9)(13,14)]); # Design 9937: autom. group order 2, simple, residual B[9937]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,10,14],[1,3,5,8,11,12,13],[1,4,5,6,11,13,14],[1,4,6,7,8,12,14],[1,5,6,7,9,12,13],[1,6,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,9,10,12,14],[2,4,6,8,9,11,13],[2,5,6,7,8,10,11],[2,5,6,9,10,12,13],[2,5,7,8,11,12,14],[3,4,5,8,10,12,13],[3,4,6,7,9,10,11],[3,4,6,8,10,12,14],[3,4,7,9,11,12,13],[3,5,6,8,9,11,14],[4,5,7,10,11,13,14]]; G[9937]:=Group([(2,3)(4,5)(8,9)(13,14)]); # Design 9938: autom. group order 2, simple, residual B[9938]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,10,14],[1,3,5,8,11,12,13],[1,4,5,6,11,13,14],[1,4,6,7,8,12,14],[1,5,6,7,9,12,13],[1,6,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,9,10,12,14],[2,4,6,8,9,11,13],[2,5,6,7,8,10,11],[2,5,6,8,10,12,14],[2,5,7,9,11,12,13],[3,4,5,8,10,12,13],[3,4,6,7,9,10,11],[3,4,6,9,10,12,13],[3,4,7,8,11,12,14],[3,5,6,8,9,11,14],[4,5,7,10,11,13,14]]; G[9938]:=Group([(2,3)(4,5)(8,9)(13,14)]); # Design 9939: autom. group order 2, simple, residual B[9939]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,9,10,14],[1,3,5,8,11,12,14],[1,4,5,6,11,13,14],[1,4,6,7,8,12,14],[1,5,6,7,9,12,13],[1,6,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,8,10,12,14],[2,4,6,9,10,12,14],[2,5,6,7,8,10,11],[2,5,6,8,9,11,13],[2,5,7,9,11,12,14],[3,4,5,9,10,12,13],[3,4,6,7,9,10,11],[3,4,6,8,9,11,14],[3,4,7,8,11,12,13],[3,5,6,8,10,12,13],[4,5,7,10,11,13,14]]; G[9939]:=Group([(2,3)(4,5)(8,9)(13,14)]); # Design 9940: autom. group order 2, simple, residual B[9940]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,10,14],[1,3,5,8,11,12,13],[1,4,5,6,11,13,14],[1,4,6,7,8,12,14],[1,5,6,7,9,12,13],[1,6,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,8,10,12,14],[2,4,6,9,10,12,13],[2,5,6,7,8,10,11],[2,5,6,8,9,11,13],[2,5,7,9,11,12,14],[3,4,5,9,10,12,13],[3,4,6,7,9,10,11],[3,4,6,8,9,11,14],[3,4,7,8,11,12,13],[3,5,6,8,10,12,14],[4,5,7,10,11,13,14]]; G[9940]:=Group([(2,3)(4,5)(8,9)(13,14)]); # Design 9941: autom. group order 2, simple, residual B[9941]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,11,12,13],[1,2,4,7,10,12,14],[1,2,4,9,11,13,14],[1,3,5,7,11,13,14],[1,3,5,9,10,12,14],[1,4,5,6,9,12,13],[1,4,6,7,8,10,13],[1,5,6,7,8,11,12],[1,6,8,9,12,13,14],[1,7,8,9,10,11,14],[2,3,6,7,12,13,14],[2,3,7,8,9,12,13],[2,4,5,8,11,13,14],[2,4,6,9,10,11,12],[2,5,6,7,9,10,14],[2,5,6,8,11,12,14],[2,5,7,8,9,10,13],[3,4,5,8,10,12,14],[3,4,6,7,9,11,14],[3,4,6,8,10,13,14],[3,4,7,8,9,11,12],[3,5,6,9,10,11,13],[4,5,7,10,11,12,13]]; G[9941]:=Group([(2,3)(4,5)(10,11)(12,13)]); # Design 9942: autom. group order 2, simple, residual B[9942]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,11,12,13],[1,2,4,7,10,12,14],[1,2,4,9,11,12,14],[1,3,5,7,11,13,14],[1,3,5,9,10,13,14],[1,4,5,6,9,12,13],[1,4,6,7,8,10,13],[1,5,6,7,8,11,12],[1,6,8,9,12,13,14],[1,7,8,9,10,11,14],[2,3,6,7,12,13,14],[2,3,7,8,9,12,13],[2,4,5,8,11,13,14],[2,4,6,9,10,11,13],[2,5,6,7,9,11,14],[2,5,6,8,10,12,14],[2,5,7,8,9,10,13],[3,4,5,8,10,12,14],[3,4,6,7,9,10,14],[3,4,6,8,11,13,14],[3,4,7,8,9,11,12],[3,5,6,9,10,11,12],[4,5,7,10,11,12,13]]; G[9942]:=Group([(2,3)(4,5)(10,11)(12,13)]); # Design 9943: autom. group order 2, simple, residual B[9943]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,11,12,13],[1,2,4,7,10,12,14],[1,2,4,9,11,12,14],[1,3,5,7,11,13,14],[1,3,5,9,10,13,14],[1,4,5,6,9,12,13],[1,4,6,7,8,10,13],[1,5,6,7,8,11,12],[1,6,8,9,12,13,14],[1,7,8,9,10,11,14],[2,3,6,7,12,13,14],[2,3,7,8,9,12,13],[2,4,5,8,11,13,14],[2,4,6,9,10,11,13],[2,5,6,7,9,11,14],[2,5,6,8,10,13,14],[2,5,7,8,9,10,12],[3,4,5,8,10,12,14],[3,4,6,7,9,10,14],[3,4,6,8,11,12,14],[3,4,7,8,9,11,13],[3,5,6,9,10,11,12],[4,5,7,10,11,12,13]]; G[9943]:=Group([(2,3)(4,5)(10,11)(12,13)]); # Design 9944: autom. group order 2, simple, residual B[9944]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,11,12,13],[1,2,4,7,10,12,14],[1,2,4,9,11,12,14],[1,3,5,7,11,13,14],[1,3,5,9,10,13,14],[1,4,5,6,9,12,13],[1,4,6,7,8,11,13],[1,5,6,7,8,10,12],[1,6,8,9,12,13,14],[1,7,8,9,10,11,14],[2,3,6,7,12,13,14],[2,3,7,8,9,12,13],[2,4,5,8,10,13,14],[2,4,6,9,10,11,13],[2,5,6,7,9,10,14],[2,5,6,8,11,13,14],[2,5,7,8,9,11,12],[3,4,5,8,11,12,14],[3,4,6,7,9,11,14],[3,4,6,8,10,12,14],[3,4,7,8,9,10,13],[3,5,6,9,10,11,12],[4,5,7,10,11,12,13]]; G[9944]:=Group([(2,3)(4,5)(10,11)(12,13)]); # Design 9945: autom. group order 2, simple, residual B[9945]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,11,12,13],[1,2,4,7,10,12,14],[1,2,4,9,11,13,14],[1,3,5,7,11,13,14],[1,3,5,9,10,12,14],[1,4,5,6,9,12,13],[1,4,6,7,8,11,12],[1,5,6,7,8,10,13],[1,6,8,9,12,13,14],[1,7,8,9,10,11,14],[2,3,6,7,12,13,14],[2,3,7,8,9,12,13],[2,4,5,8,10,12,14],[2,4,6,9,10,11,13],[2,5,6,7,9,11,14],[2,5,6,8,10,13,14],[2,5,7,8,9,11,12],[3,4,5,8,11,13,14],[3,4,6,7,9,10,14],[3,4,6,8,11,12,14],[3,4,7,8,9,10,13],[3,5,6,9,10,11,12],[4,5,7,10,11,12,13]]; G[9945]:=Group([(2,3)(4,5)(10,11)(12,13)]); # Design 9946: autom. group order 2, simple, residual B[9946]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,11,12,13],[1,2,4,7,10,12,14],[1,2,4,9,11,13,14],[1,3,5,7,11,13,14],[1,3,5,9,10,12,14],[1,4,5,6,9,12,13],[1,4,6,7,8,11,13],[1,5,6,7,8,10,12],[1,6,8,9,12,13,14],[1,7,8,9,10,11,14],[2,3,6,7,12,13,14],[2,3,7,8,9,12,13],[2,4,5,8,10,13,14],[2,4,6,9,10,11,12],[2,5,6,7,9,11,14],[2,5,6,8,10,13,14],[2,5,7,8,9,11,12],[3,4,5,8,11,12,14],[3,4,6,7,9,10,14],[3,4,6,8,11,12,14],[3,4,7,8,9,10,13],[3,5,6,9,10,11,13],[4,5,7,10,11,12,13]]; G[9946]:=Group([(2,3)(4,5)(10,11)(12,13)]); # Design 9947: autom. group order 2, simple, residual B[9947]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,11,12,13],[1,2,4,7,10,12,14],[1,2,4,9,11,13,14],[1,3,5,7,11,13,14],[1,3,5,9,10,12,14],[1,4,5,6,9,12,13],[1,4,6,7,8,11,13],[1,5,6,7,8,10,12],[1,6,8,9,12,13,14],[1,7,8,9,10,11,14],[2,3,6,7,12,13,14],[2,3,7,8,9,12,13],[2,4,5,8,10,13,14],[2,4,6,9,10,11,12],[2,5,6,7,9,11,14],[2,5,6,8,11,12,14],[2,5,7,8,9,10,13],[3,4,5,8,11,12,14],[3,4,6,7,9,10,14],[3,4,6,8,10,13,14],[3,4,7,8,9,11,12],[3,5,6,9,10,11,13],[4,5,7,10,11,12,13]]; G[9947]:=Group([(2,3)(4,5)(10,11)(12,13)]); # Design 9948: autom. group order 2, simple, residual B[9948]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,11,12,13],[1,2,4,7,10,12,14],[1,2,4,9,10,13,14],[1,3,5,7,11,13,14],[1,3,5,9,11,12,14],[1,4,5,6,9,12,13],[1,4,6,7,8,11,13],[1,5,6,7,8,10,12],[1,6,8,9,12,13,14],[1,7,8,9,10,11,14],[2,3,6,7,12,13,14],[2,3,7,8,9,12,13],[2,4,5,8,11,13,14],[2,4,6,8,11,12,14],[2,5,6,7,9,10,14],[2,5,6,9,10,11,13],[2,5,7,8,9,11,12],[3,4,5,8,10,12,14],[3,4,6,7,9,11,14],[3,4,6,9,10,11,12],[3,4,7,8,9,10,13],[3,5,6,8,10,13,14],[4,5,7,10,11,12,13]]; G[9948]:=Group([(2,3)(4,5)(10,11)(12,13)]); # Design 9949: autom. group order 2, simple, residual B[9949]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,11,12,13],[1,2,4,7,10,12,14],[1,2,4,9,11,12,14],[1,3,5,7,11,13,14],[1,3,5,9,10,13,14],[1,4,5,6,9,12,13],[1,4,6,7,8,10,13],[1,5,6,7,8,11,12],[1,6,8,9,12,13,14],[1,7,8,9,10,11,14],[2,3,6,7,12,13,14],[2,3,7,8,9,12,13],[2,4,5,8,10,13,14],[2,4,6,8,11,13,14],[2,5,6,7,9,11,14],[2,5,6,9,10,11,13],[2,5,7,8,9,10,12],[3,4,5,8,11,12,14],[3,4,6,7,9,10,14],[3,4,6,9,10,11,12],[3,4,7,8,9,11,13],[3,5,6,8,10,12,14],[4,5,7,10,11,12,13]]; G[9949]:=Group([(2,3)(4,5)(10,11)(12,13)]); # Design 9950: autom. group order 2, simple, residual B[9950]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,11,12,13],[1,2,4,7,10,12,14],[1,2,4,9,11,13,14],[1,3,5,7,11,13,14],[1,3,5,9,10,12,14],[1,4,5,6,9,12,13],[1,4,6,7,8,10,13],[1,5,6,7,8,11,12],[1,6,8,9,12,13,14],[1,7,8,9,10,11,14],[2,3,6,7,12,13,14],[2,3,7,8,9,12,13],[2,4,5,8,10,13,14],[2,4,6,8,11,12,14],[2,5,6,7,9,11,14],[2,5,6,9,10,11,13],[2,5,7,8,9,10,12],[3,4,5,8,11,12,14],[3,4,6,7,9,10,14],[3,4,6,9,10,11,12],[3,4,7,8,9,11,13],[3,5,6,8,10,13,14],[4,5,7,10,11,12,13]]; G[9950]:=Group([(2,3)(4,5)(10,11)(12,13)]); # Design 9951: autom. group order 2, simple, residual B[9951]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,11,12,13],[1,2,4,7,10,12,14],[1,2,4,9,11,12,14],[1,3,5,7,11,13,14],[1,3,5,9,10,13,14],[1,4,5,6,9,12,13],[1,4,6,7,8,11,13],[1,5,6,7,8,10,12],[1,6,8,9,12,13,14],[1,7,8,9,10,11,14],[2,3,6,7,12,13,14],[2,3,7,8,9,12,13],[2,4,5,8,11,13,14],[2,4,6,8,10,13,14],[2,5,6,7,9,10,14],[2,5,6,9,10,11,13],[2,5,7,8,9,11,12],[3,4,5,8,10,12,14],[3,4,6,7,9,11,14],[3,4,6,9,10,11,12],[3,4,7,8,9,10,13],[3,5,6,8,11,12,14],[4,5,7,10,11,12,13]]; G[9951]:=Group([(2,3)(4,5)(10,11)(12,13)]); # Design 9952: autom. group order 2, simple, residual B[9952]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,11,12,13],[1,2,4,7,10,12,14],[1,2,4,9,11,12,14],[1,3,5,7,11,13,14],[1,3,5,9,10,13,14],[1,4,5,6,9,12,13],[1,4,6,7,8,11,13],[1,5,6,7,8,10,12],[1,6,8,9,12,13,14],[1,7,8,9,10,11,14],[2,3,6,7,12,13,14],[2,3,7,8,9,12,13],[2,4,5,8,11,13,14],[2,4,6,8,10,13,14],[2,5,6,7,9,11,14],[2,5,6,9,10,11,12],[2,5,7,8,9,10,13],[3,4,5,8,10,12,14],[3,4,6,7,9,10,14],[3,4,6,9,10,11,13],[3,4,7,8,9,11,12],[3,5,6,8,11,12,14],[4,5,7,10,11,12,13]]; G[9952]:=Group([(2,3)(4,5)(10,11)(12,13)]); # Design 9953: autom. group order 2, simple, residual B[9953]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,11,12,13],[1,2,4,7,10,12,14],[1,2,4,9,11,13,14],[1,3,5,7,11,13,14],[1,3,5,9,10,12,14],[1,4,5,6,9,12,13],[1,4,6,7,8,11,12],[1,5,6,7,8,10,13],[1,6,8,9,12,13,14],[1,7,8,9,10,11,14],[2,3,6,7,12,13,14],[2,3,7,8,9,12,13],[2,4,5,8,11,12,14],[2,4,6,8,10,13,14],[2,5,6,7,9,11,14],[2,5,6,9,10,11,13],[2,5,7,8,9,10,12],[3,4,5,8,10,13,14],[3,4,6,7,9,10,14],[3,4,6,9,10,11,12],[3,4,7,8,9,11,13],[3,5,6,8,11,12,14],[4,5,7,10,11,12,13]]; G[9953]:=Group([(2,3)(4,5)(10,11)(12,13)]); # Design 9954: autom. group order 2, simple, residual B[9954]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,8,10,12,14],[1,2,4,9,11,13,14],[1,3,5,8,10,13,14],[1,3,5,9,11,12,14],[1,4,5,6,12,13,14],[1,4,6,7,8,10,13],[1,5,6,7,9,11,13],[1,6,7,8,9,12,14],[1,7,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,8,9,13,14],[2,4,5,7,9,10,12],[2,4,7,11,12,13,14],[2,5,6,7,9,10,14],[2,5,6,8,10,11,14],[2,5,6,8,11,12,13],[3,4,5,7,8,11,12],[3,4,6,7,8,11,14],[3,4,6,9,10,11,14],[3,4,6,9,10,12,13],[3,5,7,10,12,13,14],[4,5,8,9,10,11,13]]; G[9954]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9955: autom. group order 2, simple, residual B[9955]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,8,10,12,14],[1,2,4,9,11,13,14],[1,3,5,8,10,13,14],[1,3,5,9,11,12,14],[1,4,5,6,12,13,14],[1,4,6,7,8,11,13],[1,5,6,7,9,10,13],[1,6,7,8,9,12,14],[1,7,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,8,9,13,14],[2,4,5,7,9,11,12],[2,4,7,10,12,13,14],[2,5,6,7,9,10,14],[2,5,6,8,10,11,14],[2,5,6,8,11,12,13],[3,4,5,7,8,10,12],[3,4,6,7,8,11,14],[3,4,6,9,10,11,14],[3,4,6,9,10,12,13],[3,5,7,11,12,13,14],[4,5,8,9,10,11,13]]; G[9955]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9956: autom. group order 2, simple, residual B[9956]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,8,10,13,14],[1,2,4,9,11,12,14],[1,3,5,8,10,12,14],[1,3,5,9,11,13,14],[1,4,5,6,12,13,14],[1,4,6,7,8,11,13],[1,5,6,7,9,10,13],[1,6,7,8,9,12,14],[1,7,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,8,9,13,14],[2,4,5,7,9,11,12],[2,4,7,10,12,13,14],[2,5,6,7,9,10,14],[2,5,6,8,10,11,14],[2,5,6,8,11,12,13],[3,4,5,7,8,10,12],[3,4,6,7,8,11,14],[3,4,6,9,10,11,14],[3,4,6,9,10,12,13],[3,5,7,11,12,13,14],[4,5,8,9,10,11,13]]; G[9956]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9957: autom. group order 2, simple, residual B[9957]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,8,10,12,14],[1,2,4,9,10,13,14],[1,3,5,8,11,13,14],[1,3,5,9,11,12,14],[1,4,5,6,12,13,14],[1,4,6,7,8,11,13],[1,5,6,7,9,10,13],[1,6,7,8,9,12,14],[1,7,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,8,9,13,14],[2,4,5,7,9,11,12],[2,4,7,11,12,13,14],[2,5,6,7,8,11,14],[2,5,6,8,10,12,13],[2,5,6,9,10,11,14],[3,4,5,7,8,10,12],[3,4,6,7,9,10,14],[3,4,6,8,10,11,14],[3,4,6,9,11,12,13],[3,5,7,10,12,13,14],[4,5,8,9,10,11,13]]; G[9957]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9958: autom. group order 2, simple, residual B[9958]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,8,10,13,14],[1,2,4,9,10,12,14],[1,3,5,8,11,12,14],[1,3,5,9,11,13,14],[1,4,5,6,12,13,14],[1,4,6,7,8,11,13],[1,5,6,7,9,10,13],[1,6,7,8,9,12,14],[1,7,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,8,9,13,14],[2,4,5,7,9,11,12],[2,4,7,11,12,13,14],[2,5,6,7,8,11,14],[2,5,6,8,10,12,13],[2,5,6,9,10,11,14],[3,4,5,7,8,10,12],[3,4,6,7,9,10,14],[3,4,6,8,10,11,14],[3,4,6,9,11,12,13],[3,5,7,10,12,13,14],[4,5,8,9,10,11,13]]; G[9958]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9959: autom. group order 2, simple, residual B[9959]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,8,10,12,14],[1,2,4,9,11,13,14],[1,3,5,8,10,13,14],[1,3,5,9,11,12,14],[1,4,5,6,12,13,14],[1,4,6,7,8,10,13],[1,5,6,7,9,11,13],[1,6,7,8,9,12,14],[1,7,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,8,9,13,14],[2,4,5,7,9,10,12],[2,4,7,11,12,13,14],[2,5,6,7,8,11,14],[2,5,6,8,10,11,14],[2,5,6,9,10,12,13],[3,4,5,7,8,11,12],[3,4,6,7,9,10,14],[3,4,6,8,11,12,13],[3,4,6,9,10,11,14],[3,5,7,10,12,13,14],[4,5,8,9,10,11,13]]; G[9959]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9960: autom. group order 2, simple, residual B[9960]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,10,12,14],[1,3,5,7,9,11,13],[1,3,5,8,11,12,14],[1,4,5,6,7,12,14],[1,4,6,9,11,13,14],[1,5,6,8,10,13,14],[1,6,7,8,9,12,13],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,12,14],[2,4,5,9,11,12,13],[2,4,7,8,11,13,14],[2,5,6,7,9,10,11],[2,5,6,8,9,10,14],[2,5,6,8,11,12,13],[3,4,5,8,10,12,13],[3,4,6,7,8,10,11],[3,4,6,8,9,11,14],[3,4,6,9,10,12,13],[3,5,7,9,10,13,14],[4,5,7,10,11,12,14]]; G[9960]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9961: autom. group order 2, simple, residual B[9961]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,10,12,14],[1,3,5,7,9,11,13],[1,3,5,8,11,12,14],[1,4,5,6,7,12,14],[1,4,6,9,11,13,14],[1,5,6,8,10,13,14],[1,6,7,8,9,12,13],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,9,11,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,10,11],[2,5,6,8,9,10,14],[2,5,6,8,11,12,13],[3,4,5,8,10,12,13],[3,4,6,7,8,10,11],[3,4,6,8,9,11,14],[3,4,6,9,10,12,13],[3,5,7,9,10,12,14],[4,5,7,10,11,13,14]]; G[9961]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9962: autom. group order 2, simple, residual B[9962]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,13],[1,3,5,8,10,12,14],[1,4,5,6,7,12,14],[1,4,6,9,10,13,14],[1,5,6,8,11,13,14],[1,6,7,8,9,12,13],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,12,14],[2,4,5,9,10,12,13],[2,4,7,8,11,13,14],[2,5,6,7,9,10,11],[2,5,6,8,9,11,14],[2,5,6,8,10,12,13],[3,4,5,8,11,12,13],[3,4,6,7,8,10,11],[3,4,6,8,9,10,14],[3,4,6,9,11,12,13],[3,5,7,9,10,13,14],[4,5,7,10,11,12,14]]; G[9962]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9963: autom. group order 2, simple, residual B[9963]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,13],[1,3,5,8,10,12,14],[1,4,5,6,7,12,14],[1,4,6,9,10,13,14],[1,5,6,8,11,13,14],[1,6,7,8,9,12,13],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,9,10,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,10,11],[2,5,6,8,9,11,14],[2,5,6,8,10,12,13],[3,4,5,8,11,12,13],[3,4,6,7,8,10,11],[3,4,6,8,9,10,14],[3,4,6,9,11,12,13],[3,5,7,9,10,12,14],[4,5,7,10,11,13,14]]; G[9963]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9964: autom. group order 2, simple B[9964]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,12,13],[1,2,4,9,10,13,14],[1,3,5,7,9,12,14],[1,3,5,8,11,13,14],[1,4,5,6,7,10,11],[1,4,6,9,10,12,14],[1,5,6,8,11,12,13],[1,6,7,8,9,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,10,11],[2,4,5,9,11,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,11,14],[2,5,6,8,9,10,13],[2,5,6,8,10,12,14],[3,4,5,8,10,12,14],[3,4,6,7,8,10,13],[3,4,6,8,9,11,14],[3,4,6,9,11,12,13],[3,5,7,9,10,12,13],[4,5,7,10,11,13,14]]; G[9964]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9965: autom. group order 2, simple B[9965]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,12,13],[1,2,4,9,10,13,14],[1,3,5,7,9,12,14],[1,3,5,8,11,13,14],[1,4,5,6,7,10,11],[1,4,6,9,11,12,13],[1,5,6,8,10,12,14],[1,6,7,8,9,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,10,11],[2,4,5,9,10,12,14],[2,4,7,8,11,12,14],[2,5,6,7,9,11,13],[2,5,6,8,9,11,14],[2,5,6,8,10,12,13],[3,4,5,8,11,12,13],[3,4,6,7,8,10,14],[3,4,6,8,9,10,13],[3,4,6,9,11,12,14],[3,5,7,9,10,12,13],[4,5,7,10,11,13,14]]; G[9965]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9966: autom. group order 2, simple, residual B[9966]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,10,12,14],[1,3,5,7,9,11,13],[1,3,5,8,11,12,14],[1,4,5,6,7,12,14],[1,4,6,9,11,13,14],[1,5,6,8,10,13,14],[1,6,7,8,9,12,13],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,9,11,12,13],[2,4,7,8,11,12,14],[2,5,6,7,8,10,11],[2,5,6,8,9,11,14],[2,5,6,9,10,12,13],[3,4,5,8,10,12,13],[3,4,6,7,9,10,11],[3,4,6,8,9,10,14],[3,4,6,8,11,12,13],[3,5,7,9,10,12,14],[4,5,7,10,11,13,14]]; G[9966]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9967: autom. group order 2, simple, residual B[9967]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,10,12,14],[1,3,5,7,9,11,13],[1,3,5,8,11,12,14],[1,4,5,6,7,12,14],[1,4,6,8,11,13,14],[1,5,6,9,10,13,14],[1,6,7,8,9,12,13],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,12,14],[2,4,5,8,11,12,13],[2,4,7,9,11,13,14],[2,5,6,7,9,10,11],[2,5,6,8,9,11,14],[2,5,6,8,10,12,13],[3,4,5,9,10,12,13],[3,4,6,7,8,10,11],[3,4,6,8,9,10,14],[3,4,6,9,11,12,13],[3,5,7,8,10,13,14],[4,5,7,10,11,12,14]]; G[9967]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9968: autom. group order 2, simple, residual B[9968]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,13],[1,3,5,8,10,12,14],[1,4,5,6,7,12,14],[1,4,6,8,11,13,14],[1,5,6,9,10,13,14],[1,6,7,8,9,12,13],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,12,14],[2,4,5,8,11,12,13],[2,4,7,9,10,13,14],[2,5,6,7,9,10,11],[2,5,6,8,9,11,14],[2,5,6,8,10,12,13],[3,4,5,9,10,12,13],[3,4,6,7,8,10,11],[3,4,6,8,9,10,14],[3,4,6,9,11,12,13],[3,5,7,8,11,13,14],[4,5,7,10,11,12,14]]; G[9968]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9969: autom. group order 2, simple, residual B[9969]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,10,12,14],[1,3,5,7,9,11,13],[1,3,5,8,11,12,14],[1,4,5,6,7,12,14],[1,4,6,8,11,13,14],[1,5,6,9,10,13,14],[1,6,7,8,9,12,13],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,12,14],[2,4,5,8,11,12,13],[2,4,7,9,11,13,14],[2,5,6,7,8,10,11],[2,5,6,8,9,10,14],[2,5,6,9,11,12,13],[3,4,5,9,10,12,13],[3,4,6,7,9,10,11],[3,4,6,8,9,11,14],[3,4,6,8,10,12,13],[3,5,7,8,10,13,14],[4,5,7,10,11,12,14]]; G[9969]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9970: autom. group order 2, simple, residual B[9970]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,10,12,14],[1,3,5,7,9,11,13],[1,3,5,8,11,12,14],[1,4,5,6,7,12,14],[1,4,6,8,11,13,14],[1,5,6,9,10,13,14],[1,6,7,8,9,12,13],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,8,11,12,13],[2,4,7,9,11,12,14],[2,5,6,7,8,10,11],[2,5,6,8,9,10,14],[2,5,6,9,11,12,13],[3,4,5,9,10,12,13],[3,4,6,7,9,10,11],[3,4,6,8,9,11,14],[3,4,6,8,10,12,13],[3,5,7,8,10,12,14],[4,5,7,10,11,13,14]]; G[9970]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9971: autom. group order 2, simple, residual B[9971]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,13],[1,3,5,8,10,12,14],[1,4,5,6,7,12,14],[1,4,6,8,11,13,14],[1,5,6,9,10,13,14],[1,6,7,8,9,12,13],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,12,14],[2,4,5,8,11,12,13],[2,4,7,9,10,13,14],[2,5,6,7,8,10,11],[2,5,6,8,9,10,14],[2,5,6,9,11,12,13],[3,4,5,9,10,12,13],[3,4,6,7,9,10,11],[3,4,6,8,9,11,14],[3,4,6,8,10,12,13],[3,5,7,8,11,13,14],[4,5,7,10,11,12,14]]; G[9971]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9972: autom. group order 2, simple, residual B[9972]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,13],[1,3,5,8,10,12,14],[1,4,5,6,7,12,14],[1,4,6,8,11,13,14],[1,5,6,9,10,13,14],[1,6,7,8,9,12,13],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,8,11,12,13],[2,4,7,9,10,12,14],[2,5,6,7,8,10,11],[2,5,6,8,9,10,14],[2,5,6,9,11,12,13],[3,4,5,9,10,12,13],[3,4,6,7,9,10,11],[3,4,6,8,9,11,14],[3,4,6,8,10,12,13],[3,5,7,8,11,12,14],[4,5,7,10,11,13,14]]; G[9972]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 9973: autom. group order 2, simple B[9973]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,12,13],[1,2,4,9,10,13,14],[1,3,5,7,9,12,14],[1,3,5,8,11,13,14],[1,4,5,6,7,10,11],[1,4,6,8,11,12,13],[1,5,6,9,10,12,14],[1,6,7,8,9,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,10,11],[2,4,5,8,10,12,14],[2,4,7,9,11,12,14],[2,5,6,7,8,11,14],[2,5,6,8,9,10,13],[2,5,6,9,11,12,13],[3,4,5,9,11,12,13],[3,4,6,7,9,10,13],[3,4,6,8,9,11,14],[3,4,6,8,10,12,14],[3,5,7,8,10,12,13],[4,5,7,10,11,13,14]]; G[9973]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9974: autom. group order 2, simple, residual B[9974]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,9,10,14],[1,3,5,8,11,12,14],[1,4,5,6,11,13,14],[1,4,6,7,9,12,14],[1,5,6,7,8,12,13],[1,6,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,9,10,12,14],[2,4,7,8,11,12,14],[2,5,6,7,9,10,11],[2,5,6,8,9,11,13],[2,5,6,8,10,12,14],[3,4,5,8,10,12,13],[3,4,6,7,8,10,11],[3,4,6,8,9,11,14],[3,4,6,9,10,12,13],[3,5,7,9,11,12,13],[4,5,7,10,11,13,14]]; G[9974]:=Group([(2,3)(4,5)(8,9)(13,14)]); # Design 9975: autom. group order 2, simple, residual B[9975]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,9,11,14],[1,3,5,8,10,12,14],[1,4,5,6,12,13,14],[1,4,6,7,9,10,14],[1,5,6,7,8,11,13],[1,6,8,9,12,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,9,10,12,14],[2,4,7,8,11,12,14],[2,5,6,7,9,11,12],[2,5,6,8,9,10,13],[2,5,6,8,10,11,14],[3,4,5,8,11,12,13],[3,4,6,7,8,10,12],[3,4,6,8,9,11,14],[3,4,6,9,10,11,13],[3,5,7,9,10,12,13],[4,5,7,10,11,13,14]]; G[9975]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9976: autom. group order 2, simple, residual B[9976]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,9,10,14],[1,3,5,8,11,12,14],[1,4,5,6,11,13,14],[1,4,6,7,9,12,14],[1,5,6,7,8,12,13],[1,6,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,9,10,12,14],[2,4,7,8,11,12,14],[2,5,6,7,8,10,11],[2,5,6,8,9,11,14],[2,5,6,9,10,12,13],[3,4,5,8,10,12,13],[3,4,6,7,9,10,11],[3,4,6,8,9,11,13],[3,4,6,8,10,12,14],[3,5,7,9,11,12,13],[4,5,7,10,11,13,14]]; G[9976]:=Group([(2,3)(4,5)(8,9)(13,14)]); # Design 9977: autom. group order 2, simple, residual B[9977]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,9,11,14],[1,3,5,8,10,12,14],[1,4,5,6,12,13,14],[1,4,6,7,9,10,14],[1,5,6,7,8,11,13],[1,6,8,9,12,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,9,10,12,14],[2,4,7,8,11,12,14],[2,5,6,7,8,10,12],[2,5,6,8,9,11,14],[2,5,6,9,10,11,13],[3,4,5,8,11,12,13],[3,4,6,7,9,11,12],[3,4,6,8,9,10,13],[3,4,6,8,10,11,14],[3,5,7,9,10,12,13],[4,5,7,10,11,13,14]]; G[9977]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9978: autom. group order 2, simple, residual B[9978]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,9,10,14],[1,3,5,8,11,12,14],[1,4,5,6,11,13,14],[1,4,6,7,8,12,14],[1,5,6,7,9,12,13],[1,6,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,8,10,12,14],[2,4,7,9,11,12,14],[2,5,6,7,9,10,11],[2,5,6,8,9,11,14],[2,5,6,8,10,12,13],[3,4,5,9,10,12,13],[3,4,6,7,8,10,11],[3,4,6,8,9,11,13],[3,4,6,9,10,12,14],[3,5,7,8,11,12,13],[4,5,7,10,11,13,14]]; G[9978]:=Group([(2,3)(4,5)(8,9)(13,14)]); # Design 9979: autom. group order 2, simple, residual B[9979]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,10,14],[1,3,5,8,11,12,13],[1,4,5,6,11,13,14],[1,4,6,7,8,12,14],[1,5,6,7,9,12,13],[1,6,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,8,10,12,14],[2,4,7,9,11,12,13],[2,5,6,7,9,10,11],[2,5,6,8,9,11,14],[2,5,6,8,10,12,13],[3,4,5,9,10,12,13],[3,4,6,7,8,10,11],[3,4,6,8,9,11,13],[3,4,6,9,10,12,14],[3,5,7,8,11,12,14],[4,5,7,10,11,13,14]]; G[9979]:=Group([(2,3)(4,5)(8,9)(13,14)]); # Design 9980: autom. group order 2, simple, residual B[9980]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,9,11,14],[1,3,5,8,10,12,14],[1,4,5,6,12,13,14],[1,4,6,7,8,11,14],[1,5,6,7,9,10,13],[1,6,8,9,12,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,8,11,12,14],[2,4,7,9,10,12,14],[2,5,6,7,9,11,12],[2,5,6,8,9,10,14],[2,5,6,8,10,11,13],[3,4,5,9,10,12,13],[3,4,6,7,8,10,12],[3,4,6,8,9,11,13],[3,4,6,9,10,11,14],[3,5,7,8,11,12,13],[4,5,7,10,11,13,14]]; G[9980]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9981: autom. group order 2, simple, residual B[9981]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,9,11,14],[1,3,5,8,10,12,14],[1,4,5,6,12,13,14],[1,4,6,7,8,11,14],[1,5,6,7,9,10,13],[1,6,8,9,12,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,8,11,12,14],[2,4,7,9,10,12,14],[2,5,6,7,8,10,12],[2,5,6,8,9,11,13],[2,5,6,9,10,11,14],[3,4,5,9,10,12,13],[3,4,6,7,9,11,12],[3,4,6,8,9,10,14],[3,4,6,8,10,11,13],[3,5,7,8,11,12,13],[4,5,7,10,11,13,14]]; G[9981]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9982: autom. group order 2, simple, residual B[9982]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,11,12,13],[1,2,4,7,10,12,14],[1,2,4,9,11,12,14],[1,3,5,7,11,13,14],[1,3,5,9,10,13,14],[1,4,5,6,9,12,13],[1,4,6,7,8,10,13],[1,5,6,7,8,11,12],[1,6,8,9,12,13,14],[1,7,8,9,10,11,14],[2,3,6,7,12,13,14],[2,3,7,8,9,12,13],[2,4,5,8,10,13,14],[2,4,7,8,9,11,13],[2,5,6,7,9,10,14],[2,5,6,8,11,13,14],[2,5,6,9,10,11,12],[3,4,5,8,11,12,14],[3,4,6,7,9,11,14],[3,4,6,8,10,12,14],[3,4,6,9,10,11,13],[3,5,7,8,9,10,12],[4,5,7,10,11,12,13]]; G[9982]:=Group([(2,3)(4,5)(10,11)(12,13)]); # Design 9983: autom. group order 2, simple, residual B[9983]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,11,12,13],[1,2,4,7,10,12,14],[1,2,4,9,11,13,14],[1,3,5,7,11,13,14],[1,3,5,9,10,12,14],[1,4,5,6,9,12,13],[1,4,6,7,8,10,13],[1,5,6,7,8,11,12],[1,6,8,9,12,13,14],[1,7,8,9,10,11,14],[2,3,6,7,12,13,14],[2,3,7,8,9,12,13],[2,4,5,8,10,13,14],[2,4,7,8,9,11,12],[2,5,6,7,9,10,14],[2,5,6,8,11,13,14],[2,5,6,9,10,11,12],[3,4,5,8,11,12,14],[3,4,6,7,9,11,14],[3,4,6,8,10,12,14],[3,4,6,9,10,11,13],[3,5,7,8,9,10,13],[4,5,7,10,11,12,13]]; G[9983]:=Group([(2,3)(4,5)(10,11)(12,13)]); # Design 9984: autom. group order 2, simple, residual B[9984]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,11,12,13],[1,2,4,7,10,12,14],[1,2,4,9,11,12,14],[1,3,5,7,11,13,14],[1,3,5,9,10,13,14],[1,4,5,6,9,12,13],[1,4,6,7,8,10,13],[1,5,6,7,8,11,12],[1,6,8,9,12,13,14],[1,7,8,9,10,11,14],[2,3,6,7,12,13,14],[2,3,7,8,9,12,13],[2,4,5,8,10,13,14],[2,4,7,8,9,11,13],[2,5,6,7,9,11,14],[2,5,6,8,10,12,14],[2,5,6,9,10,11,13],[3,4,5,8,11,12,14],[3,4,6,7,9,10,14],[3,4,6,8,11,13,14],[3,4,6,9,10,11,12],[3,5,7,8,9,10,12],[4,5,7,10,11,12,13]]; G[9984]:=Group([(2,3)(4,5)(10,11)(12,13)]); # Design 9985: autom. group order 2, simple, residual B[9985]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,11,12,13],[1,2,4,7,10,12,14],[1,2,4,9,11,13,14],[1,3,5,7,11,13,14],[1,3,5,9,10,12,14],[1,4,5,6,9,12,13],[1,4,6,7,8,10,13],[1,5,6,7,8,11,12],[1,6,8,9,12,13,14],[1,7,8,9,10,11,14],[2,3,6,7,12,13,14],[2,3,7,8,9,12,13],[2,4,5,8,10,13,14],[2,4,7,8,9,11,12],[2,5,6,7,9,11,14],[2,5,6,8,10,12,14],[2,5,6,9,10,11,13],[3,4,5,8,11,12,14],[3,4,6,7,9,10,14],[3,4,6,8,11,13,14],[3,4,6,9,10,11,12],[3,5,7,8,9,10,13],[4,5,7,10,11,12,13]]; G[9985]:=Group([(2,3)(4,5)(10,11)(12,13)]); # Design 9986: autom. group order 2, simple, residual B[9986]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,11,12,13],[1,2,4,7,10,12,14],[1,2,4,9,11,12,14],[1,3,5,7,11,13,14],[1,3,5,9,10,13,14],[1,4,5,6,9,12,13],[1,4,6,7,8,11,13],[1,5,6,7,8,10,12],[1,6,8,9,12,13,14],[1,7,8,9,10,11,14],[2,3,6,7,12,13,14],[2,3,7,8,9,12,13],[2,4,5,8,11,13,14],[2,4,7,8,9,10,13],[2,5,6,7,9,10,14],[2,5,6,8,11,12,14],[2,5,6,9,10,11,13],[3,4,5,8,10,12,14],[3,4,6,7,9,11,14],[3,4,6,8,10,13,14],[3,4,6,9,10,11,12],[3,5,7,8,9,11,12],[4,5,7,10,11,12,13]]; G[9986]:=Group([(2,3)(4,5)(10,11)(12,13)]); # Design 9987: autom. group order 2, simple, residual B[9987]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,11,12,13],[1,2,4,7,10,12,14],[1,2,4,9,11,13,14],[1,3,5,7,11,13,14],[1,3,5,9,10,12,14],[1,4,5,6,9,12,13],[1,4,6,7,8,11,12],[1,5,6,7,8,10,13],[1,6,8,9,12,13,14],[1,7,8,9,10,11,14],[2,3,6,7,12,13,14],[2,3,7,8,9,12,13],[2,4,5,8,11,12,14],[2,4,7,8,9,10,13],[2,5,6,7,9,10,14],[2,5,6,8,11,13,14],[2,5,6,9,10,11,12],[3,4,5,8,10,13,14],[3,4,6,7,9,11,14],[3,4,6,8,10,12,14],[3,4,6,9,10,11,13],[3,5,7,8,9,11,12],[4,5,7,10,11,12,13]]; G[9987]:=Group([(2,3)(4,5)(10,11)(12,13)]); # Design 9988: autom. group order 2, simple, residual B[9988]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,11,12,13],[1,2,4,7,10,12,14],[1,2,4,9,11,12,14],[1,3,5,7,11,13,14],[1,3,5,9,10,13,14],[1,4,5,6,9,12,13],[1,4,6,7,8,11,13],[1,5,6,7,8,10,12],[1,6,8,9,12,13,14],[1,7,8,9,10,11,14],[2,3,6,7,12,13,14],[2,3,7,8,9,12,13],[2,4,5,8,11,13,14],[2,4,7,8,9,10,13],[2,5,6,7,9,11,14],[2,5,6,8,10,13,14],[2,5,6,9,10,11,12],[3,4,5,8,10,12,14],[3,4,6,7,9,10,14],[3,4,6,8,11,12,14],[3,4,6,9,10,11,13],[3,5,7,8,9,11,12],[4,5,7,10,11,12,13]]; G[9988]:=Group([(2,3)(4,5)(10,11)(12,13)]); # Design 9989: autom. group order 2, simple, residual B[9989]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,11,12,13],[1,2,4,7,10,12,14],[1,2,4,9,11,13,14],[1,3,5,7,11,13,14],[1,3,5,9,10,12,14],[1,4,5,6,9,12,13],[1,4,6,7,8,11,12],[1,5,6,7,8,10,13],[1,6,8,9,12,13,14],[1,7,8,9,10,11,14],[2,3,6,7,12,13,14],[2,3,7,8,9,12,13],[2,4,5,8,11,12,14],[2,4,7,8,9,10,13],[2,5,6,7,9,11,14],[2,5,6,8,10,12,14],[2,5,6,9,10,11,13],[3,4,5,8,10,13,14],[3,4,6,7,9,10,14],[3,4,6,8,11,13,14],[3,4,6,9,10,11,12],[3,5,7,8,9,11,12],[4,5,7,10,11,12,13]]; G[9989]:=Group([(2,3)(4,5)(10,11)(12,13)]); # Design 9990: autom. group order 2, simple B[9990]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,14],[1,3,5,8,10,12,13],[1,4,5,7,12,13,14],[1,4,6,9,10,12,13],[1,5,6,8,11,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,13,14],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,6,9,10,14],[2,4,6,7,8,11,12],[2,5,7,8,10,12,14],[2,5,7,9,10,11,13],[2,5,8,9,11,12,13],[3,4,5,6,8,11,13],[3,4,7,8,10,11,14],[3,4,7,9,11,12,13],[3,4,8,9,10,12,14],[3,5,6,7,9,10,12],[4,5,6,10,11,13,14]]; G[9990]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9991: autom. group order 2, simple B[9991]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,9,11,14],[1,3,5,8,10,12,13],[1,4,5,7,12,13,14],[1,4,6,8,11,12,13],[1,5,6,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,13,14],[2,3,6,7,12,13,14],[2,3,6,8,9,13,14],[2,4,5,6,8,11,14],[2,4,6,7,9,10,12],[2,5,7,8,10,12,14],[2,5,7,9,10,11,13],[2,5,8,9,11,12,13],[3,4,5,6,9,10,13],[3,4,7,8,10,11,14],[3,4,7,9,11,12,13],[3,4,8,9,10,12,14],[3,5,6,7,8,11,12],[4,5,6,10,11,13,14]]; G[9991]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9992: autom. group order 2, simple, residual B[9992]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,12,13],[1,2,4,9,10,13,14],[1,3,5,7,9,12,14],[1,3,5,8,11,13,14],[1,4,5,7,10,11,12],[1,4,6,9,10,12,14],[1,5,6,8,11,12,13],[1,6,7,8,9,10,11],[1,6,7,8,9,13,14],[2,3,6,7,12,13,14],[2,3,7,8,9,10,11],[2,4,5,6,9,11,13],[2,4,6,7,8,11,14],[2,5,6,8,10,12,14],[2,5,7,9,11,12,14],[2,5,8,9,10,12,13],[3,4,5,6,8,10,14],[3,4,6,9,11,12,13],[3,4,7,8,10,12,13],[3,4,8,9,11,12,14],[3,5,6,7,9,10,13],[4,5,7,10,11,13,14]]; G[9992]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9993: autom. group order 2, simple, residual B[9993]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,12,13],[1,2,4,9,10,13,14],[1,3,5,7,9,12,14],[1,3,5,8,11,13,14],[1,4,5,7,10,11,12],[1,4,6,8,11,12,13],[1,5,6,9,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,13,14],[2,3,6,7,12,13,14],[2,3,7,8,9,10,11],[2,4,5,6,8,10,14],[2,4,6,7,9,11,14],[2,5,6,9,11,12,13],[2,5,7,8,11,12,14],[2,5,8,9,10,12,13],[3,4,5,6,9,11,13],[3,4,6,8,10,12,14],[3,4,7,9,10,12,13],[3,4,8,9,11,12,14],[3,5,6,7,8,10,13],[4,5,7,10,11,13,14]]; G[9993]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 9994: autom. group order 2, simple, residual B[9994]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,8,11,14],[1,3,5,9,10,12,14],[1,4,5,7,12,13,14],[1,4,6,8,9,10,14],[1,5,6,8,9,11,13],[1,6,7,8,10,11,12],[1,6,7,9,12,13,14],[2,3,6,7,8,9,12],[2,3,7,8,12,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,11,14],[2,5,6,8,10,13,14],[2,5,7,9,10,11,13],[2,5,8,9,11,12,14],[3,4,5,6,11,12,13],[3,4,6,8,11,13,14],[3,4,7,9,10,11,14],[3,4,8,9,10,12,13],[3,5,6,7,9,10,13],[4,5,7,8,10,11,12]]; G[9994]:=Group([(2,3)(4,5)(10,11)(13,14)]); # Design 9995: autom. group order 2, simple, residual B[9995]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,8,11,14],[1,3,5,9,10,12,14],[1,4,5,7,12,13,14],[1,4,6,8,9,11,14],[1,5,6,8,9,10,13],[1,6,7,8,10,11,12],[1,6,7,9,12,13,14],[2,3,6,7,8,9,12],[2,3,7,8,12,13,14],[2,4,5,6,11,12,14],[2,4,6,7,9,10,14],[2,5,6,8,11,13,14],[2,5,7,9,10,11,13],[2,5,8,9,10,12,14],[3,4,5,6,10,12,13],[3,4,6,8,10,13,14],[3,4,7,9,10,11,14],[3,4,8,9,11,12,13],[3,5,6,7,9,11,13],[4,5,7,8,10,11,12]]; G[9995]:=Group([(2,3)(4,5)(10,11)(13,14)]); # Design 9996: autom. group order 2, simple, residual B[9996]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,8,11,14],[1,3,5,9,10,12,13],[1,4,5,7,12,13,14],[1,4,6,8,9,10,14],[1,5,6,8,9,11,13],[1,6,7,8,10,11,12],[1,6,7,9,12,13,14],[2,3,6,7,8,9,12],[2,3,7,8,12,13,14],[2,4,5,6,10,12,13],[2,4,6,8,11,13,14],[2,5,6,7,9,10,14],[2,5,7,9,10,11,14],[2,5,8,9,11,12,13],[3,4,5,6,11,12,14],[3,4,6,7,9,11,13],[3,4,7,9,10,11,13],[3,4,8,9,10,12,14],[3,5,6,8,10,13,14],[4,5,7,8,10,11,12]]; G[9996]:=Group([(2,3)(4,5)(10,11)(13,14)]); # Design 9997: autom. group order 2, simple, residual B[9997]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,8,11,14],[1,3,5,9,10,12,13],[1,4,5,7,12,13,14],[1,4,6,8,9,10,13],[1,5,6,8,9,11,14],[1,6,7,8,10,11,12],[1,6,7,9,12,13,14],[2,3,6,7,8,9,12],[2,3,7,8,12,13,14],[2,4,5,6,10,12,14],[2,4,6,8,11,13,14],[2,5,6,7,9,11,13],[2,5,7,9,10,11,13],[2,5,8,9,10,12,14],[3,4,5,6,11,12,13],[3,4,6,7,9,10,14],[3,4,7,9,10,11,14],[3,4,8,9,11,12,13],[3,5,6,8,10,13,14],[4,5,7,8,10,11,12]]; G[9997]:=Group([(2,3)(4,5)(10,11)(13,14)]); # Design 9998: autom. group order 2, simple, residual B[9998]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,8,11,14],[1,3,5,9,10,12,13],[1,4,5,7,12,13,14],[1,4,6,8,9,10,14],[1,5,6,8,9,11,13],[1,6,7,8,10,11,12],[1,6,7,9,12,13,14],[2,3,6,7,8,9,12],[2,3,7,8,12,13,14],[2,4,5,6,10,12,13],[2,4,6,8,11,13,14],[2,5,6,7,9,11,13],[2,5,7,9,10,11,14],[2,5,8,9,10,12,14],[3,4,5,6,11,12,14],[3,4,6,7,9,10,14],[3,4,7,9,10,11,13],[3,4,8,9,11,12,13],[3,5,6,8,10,13,14],[4,5,7,8,10,11,12]]; G[9998]:=Group([(2,3)(4,5)(10,11)(13,14)]); # Design 9999: autom. group order 2, simple, residual B[9999]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,8,11,14],[1,3,5,9,10,12,13],[1,4,5,7,12,13,14],[1,4,6,8,9,11,13],[1,5,6,8,9,10,14],[1,6,7,8,10,11,12],[1,6,7,9,12,13,14],[2,3,6,7,8,9,12],[2,3,7,8,12,13,14],[2,4,5,6,11,12,14],[2,4,6,8,10,13,14],[2,5,6,7,9,10,14],[2,5,7,9,10,11,13],[2,5,8,9,11,12,13],[3,4,5,6,10,12,13],[3,4,6,7,9,11,13],[3,4,7,9,10,11,14],[3,4,8,9,10,12,14],[3,5,6,8,11,13,14],[4,5,7,8,10,11,12]]; G[9999]:=Group([(2,3)(4,5)(10,11)(13,14)]); # Design 10000: autom. group order 2, simple, residual B[10000]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,8,11,14],[1,3,5,9,10,12,13],[1,4,5,7,12,13,14],[1,4,6,8,9,11,14],[1,5,6,8,9,10,13],[1,6,7,8,10,11,12],[1,6,7,9,12,13,14],[2,3,6,7,8,9,12],[2,3,7,8,12,13,14],[2,4,5,6,11,12,13],[2,4,6,8,10,13,14],[2,5,6,7,9,10,14],[2,5,7,9,10,11,14],[2,5,8,9,11,12,13],[3,4,5,6,10,12,14],[3,4,6,7,9,11,13],[3,4,7,9,10,11,13],[3,4,8,9,10,12,14],[3,5,6,8,11,13,14],[4,5,7,8,10,11,12]]; G[10000]:=Group([(2,3)(4,5)(10,11)(13,14)]); # Design 10001: autom. group order 2, simple, residual B[10001]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,8,11,14],[1,3,5,9,10,12,13],[1,4,5,7,12,13,14],[1,4,6,8,9,11,13],[1,5,6,8,9,10,14],[1,6,7,8,10,11,12],[1,6,7,9,12,13,14],[2,3,6,7,8,9,12],[2,3,7,8,12,13,14],[2,4,5,6,11,12,14],[2,4,6,8,10,13,14],[2,5,6,7,9,11,13],[2,5,7,9,10,11,13],[2,5,8,9,10,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,10,14],[3,4,7,9,10,11,14],[3,4,8,9,11,12,13],[3,5,6,8,11,13,14],[4,5,7,8,10,11,12]]; G[10001]:=Group([(2,3)(4,5)(10,11)(13,14)]); # Design 10002: autom. group order 2, simple, residual B[10002]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,9,11,14],[1,3,5,8,10,12,14],[1,4,5,7,12,13,14],[1,4,6,8,10,12,14],[1,5,6,9,11,12,13],[1,6,7,8,9,10,11],[1,6,7,8,9,13,14],[2,3,6,7,8,9,12],[2,3,8,9,12,13,14],[2,4,5,6,9,10,14],[2,4,6,7,11,12,14],[2,5,6,9,10,13,14],[2,5,7,8,10,11,13],[2,5,7,8,11,12,14],[3,4,5,6,8,11,13],[3,4,6,8,11,13,14],[3,4,7,9,10,11,14],[3,4,7,9,10,12,13],[3,5,6,7,10,12,13],[4,5,8,9,10,11,12]]; G[10002]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 10003: autom. group order 2, simple, residual B[10003]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,8,11,14],[1,3,5,9,10,12,14],[1,4,5,7,12,13,14],[1,4,6,8,9,10,14],[1,5,6,8,9,11,13],[1,6,7,8,10,11,12],[1,6,7,9,12,13,14],[2,3,6,7,8,9,12],[2,3,8,9,12,13,14],[2,4,5,6,10,12,14],[2,4,6,7,9,11,14],[2,5,6,8,10,13,14],[2,5,7,8,11,12,14],[2,5,7,9,10,11,13],[3,4,5,6,11,12,13],[3,4,6,8,11,13,14],[3,4,7,8,10,12,13],[3,4,7,9,10,11,14],[3,5,6,7,9,10,13],[4,5,8,9,10,11,12]]; G[10003]:=Group([(2,3)(4,5)(10,11)(13,14)]); # Design 10004: autom. group order 2, simple, residual B[10004]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,8,11,14],[1,3,5,9,10,12,14],[1,4,5,7,12,13,14],[1,4,6,8,9,11,14],[1,5,6,8,9,10,13],[1,6,7,8,10,11,12],[1,6,7,9,12,13,14],[2,3,6,7,8,9,12],[2,3,8,9,12,13,14],[2,4,5,6,11,12,14],[2,4,6,7,9,10,14],[2,5,6,8,11,13,14],[2,5,7,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,6,10,12,13],[3,4,6,8,10,13,14],[3,4,7,8,11,12,13],[3,4,7,9,10,11,14],[3,5,6,7,9,11,13],[4,5,8,9,10,11,12]]; G[10004]:=Group([(2,3)(4,5)(10,11)(13,14)]); # Design 10005: autom. group order 2, simple, residual B[10005]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,8,11,14],[1,3,5,9,10,12,13],[1,4,5,7,12,13,14],[1,4,6,8,9,10,14],[1,5,6,8,9,11,13],[1,6,7,8,10,11,12],[1,6,7,9,12,13,14],[2,3,6,7,8,9,12],[2,3,8,9,12,13,14],[2,4,5,6,10,12,13],[2,4,6,8,11,13,14],[2,5,6,7,9,10,14],[2,5,7,8,11,12,13],[2,5,7,9,10,11,14],[3,4,5,6,11,12,14],[3,4,6,7,9,11,13],[3,4,7,8,10,12,14],[3,4,7,9,10,11,13],[3,5,6,8,10,13,14],[4,5,8,9,10,11,12]]; G[10005]:=Group([(2,3)(4,5)(10,11)(13,14)]); # Design 10006: autom. group order 2, simple, residual B[10006]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,8,11,14],[1,3,5,9,10,12,13],[1,4,5,7,12,13,14],[1,4,6,8,9,10,13],[1,5,6,8,9,11,14],[1,6,7,8,10,11,12],[1,6,7,9,12,13,14],[2,3,6,7,8,9,12],[2,3,8,9,12,13,14],[2,4,5,6,10,12,14],[2,4,6,8,11,13,14],[2,5,6,7,9,11,13],[2,5,7,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,6,11,12,13],[3,4,6,7,9,10,14],[3,4,7,8,11,12,13],[3,4,7,9,10,11,14],[3,5,6,8,10,13,14],[4,5,8,9,10,11,12]]; G[10006]:=Group([(2,3)(4,5)(10,11)(13,14)]); # Design 10007: autom. group order 2, simple, residual B[10007]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,8,11,14],[1,3,5,9,10,12,13],[1,4,5,7,12,13,14],[1,4,6,8,9,10,14],[1,5,6,8,9,11,13],[1,6,7,8,10,11,12],[1,6,7,9,12,13,14],[2,3,6,7,8,9,12],[2,3,8,9,12,13,14],[2,4,5,6,10,12,13],[2,4,6,8,11,13,14],[2,5,6,7,9,11,13],[2,5,7,8,10,12,14],[2,5,7,9,10,11,14],[3,4,5,6,11,12,14],[3,4,6,7,9,10,14],[3,4,7,8,11,12,13],[3,4,7,9,10,11,13],[3,5,6,8,10,13,14],[4,5,8,9,10,11,12]]; G[10007]:=Group([(2,3)(4,5)(10,11)(13,14)]); # Design 10008: autom. group order 2, simple, residual B[10008]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,8,11,14],[1,3,5,9,10,12,13],[1,4,5,7,12,13,14],[1,4,6,8,9,11,13],[1,5,6,8,9,10,14],[1,6,7,8,10,11,12],[1,6,7,9,12,13,14],[2,3,6,7,8,9,12],[2,3,8,9,12,13,14],[2,4,5,6,11,12,14],[2,4,6,8,10,13,14],[2,5,6,7,9,11,13],[2,5,7,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,6,10,12,13],[3,4,6,7,9,10,14],[3,4,7,8,11,12,13],[3,4,7,9,10,11,14],[3,5,6,8,11,13,14],[4,5,8,9,10,11,12]]; G[10008]:=Group([(2,3)(4,5)(10,11)(13,14)]); # Design 10009: autom. group order 2, simple, residual B[10009]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,12,13],[1,2,4,9,10,12,13],[1,3,5,7,9,12,14],[1,3,5,8,11,12,14],[1,4,5,10,11,13,14],[1,4,6,7,9,10,14],[1,5,6,7,8,11,13],[1,6,7,8,9,10,11],[1,6,8,9,12,13,14],[2,3,6,8,9,13,14],[2,3,7,8,9,10,11],[2,4,5,6,9,11,14],[2,4,6,8,11,12,14],[2,5,6,7,10,12,14],[2,5,7,8,10,13,14],[2,5,7,9,11,12,13],[3,4,5,6,8,10,13],[3,4,6,7,11,12,13],[3,4,7,8,10,12,14],[3,4,7,9,11,13,14],[3,5,6,9,10,12,13],[4,5,8,9,10,11,12]]; G[10009]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 10010: autom. group order 2, simple, residual B[10010]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,12,13],[1,2,4,9,10,13,14],[1,3,5,7,9,12,14],[1,3,5,8,11,13,14],[1,4,5,7,10,11,12],[1,4,6,9,10,12,14],[1,5,6,8,11,12,13],[1,6,7,8,9,10,11],[1,6,7,8,9,13,14],[2,3,6,7,12,13,14],[2,3,7,8,9,10,11],[2,4,5,6,9,11,13],[2,4,7,8,11,12,14],[2,5,6,7,9,11,14],[2,5,6,8,10,12,14],[2,5,8,9,10,12,13],[3,4,5,6,8,10,14],[3,4,6,7,8,10,13],[3,4,6,9,11,12,13],[3,4,8,9,11,12,14],[3,5,7,9,10,12,13],[4,5,7,10,11,13,14]]; G[10010]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 10011: autom. group order 2, simple, residual B[10011]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,12,13],[1,2,4,9,10,13,14],[1,3,5,7,9,12,14],[1,3,5,8,11,13,14],[1,4,5,7,10,11,12],[1,4,6,9,11,12,13],[1,5,6,8,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,13,14],[2,3,6,7,12,13,14],[2,3,7,8,9,10,11],[2,4,5,6,9,10,14],[2,4,7,8,11,12,14],[2,5,6,7,9,11,13],[2,5,6,8,10,12,13],[2,5,8,9,11,12,14],[3,4,5,6,8,11,13],[3,4,6,7,8,10,14],[3,4,6,9,11,12,14],[3,4,8,9,10,12,13],[3,5,7,9,10,12,13],[4,5,7,10,11,13,14]]; G[10011]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 10012: autom. group order 2, simple, residual B[10012]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,8,11,14],[1,3,5,9,10,12,14],[1,4,5,7,12,13,14],[1,4,6,8,9,10,14],[1,5,6,8,9,11,13],[1,6,7,8,10,11,12],[1,6,7,9,12,13,14],[2,3,6,7,8,9,12],[2,3,7,8,12,13,14],[2,4,5,6,11,12,14],[2,4,7,9,10,11,14],[2,5,6,7,9,10,13],[2,5,6,8,11,13,14],[2,5,8,9,10,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,10,13,14],[3,4,8,9,11,12,13],[3,5,7,9,10,11,13],[4,5,7,8,10,11,12]]; G[10012]:=Group([(2,3)(4,5)(10,11)(13,14)]); # Design 10013: autom. group order 2, simple, residual B[10013]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,8,11,14],[1,3,5,9,10,12,13],[1,4,5,7,12,13,14],[1,4,6,8,9,10,14],[1,5,6,8,9,11,13],[1,6,7,8,10,11,12],[1,6,7,9,12,13,14],[2,3,6,7,8,9,12],[2,3,7,8,12,13,14],[2,4,5,6,11,12,14],[2,4,7,9,10,11,13],[2,5,6,7,9,11,13],[2,5,6,8,10,13,14],[2,5,8,9,10,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,10,14],[3,4,6,8,11,13,14],[3,4,8,9,11,12,13],[3,5,7,9,10,11,14],[4,5,7,8,10,11,12]]; G[10013]:=Group([(2,3)(4,5)(10,11)(13,14)]); # Design 10014: autom. group order 2, simple, residual B[10014]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,8,11,14],[1,3,5,9,10,12,13],[1,4,5,7,12,13,14],[1,4,6,8,9,11,13],[1,5,6,8,9,10,14],[1,6,7,8,10,11,12],[1,6,7,9,12,13,14],[2,3,6,7,8,9,12],[2,3,7,8,12,13,14],[2,4,5,6,10,12,13],[2,4,7,9,10,11,14],[2,5,6,7,9,10,14],[2,5,6,8,11,13,14],[2,5,8,9,11,12,13],[3,4,5,6,11,12,14],[3,4,6,7,9,11,13],[3,4,6,8,10,13,14],[3,4,8,9,10,12,14],[3,5,7,9,10,11,13],[4,5,7,8,10,11,12]]; G[10014]:=Group([(2,3)(4,5)(10,11)(13,14)]); # Design 10015: autom. group order 2, simple, residual B[10015]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,8,11,14],[1,3,5,9,10,12,14],[1,4,5,7,12,13,14],[1,4,6,8,9,11,14],[1,5,6,8,9,10,13],[1,6,7,8,10,11,12],[1,6,7,9,12,13,14],[2,3,6,7,8,9,12],[2,3,7,8,12,13,14],[2,4,5,6,10,12,14],[2,4,7,9,10,11,14],[2,5,6,7,9,11,13],[2,5,6,8,10,13,14],[2,5,8,9,11,12,14],[3,4,5,6,11,12,13],[3,4,6,7,9,10,14],[3,4,6,8,11,13,14],[3,4,8,9,10,12,13],[3,5,7,9,10,11,13],[4,5,7,8,10,11,12]]; G[10015]:=Group([(2,3)(4,5)(10,11)(13,14)]); # Design 10016: autom. group order 2, simple, residual B[10016]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,12,13],[1,2,4,9,10,13,14],[1,3,5,7,9,12,14],[1,3,5,8,11,13,14],[1,4,5,7,10,11,12],[1,4,6,9,11,12,13],[1,5,6,8,10,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,13,14],[2,3,6,7,12,13,14],[2,3,7,8,9,10,11],[2,4,5,6,8,10,14],[2,4,8,9,11,12,14],[2,5,6,7,9,10,13],[2,5,6,8,11,12,13],[2,5,7,9,11,12,14],[3,4,5,6,9,11,13],[3,4,6,7,8,11,14],[3,4,6,9,10,12,14],[3,4,7,8,10,12,13],[3,5,8,9,10,12,13],[4,5,7,10,11,13,14]]; G[10016]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 10017: autom. group order 2, simple, residual B[10017]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,12,13],[1,2,4,9,10,13,14],[1,3,5,7,9,12,14],[1,3,5,8,11,13,14],[1,4,5,7,10,11,12],[1,4,6,8,10,12,14],[1,5,6,9,11,12,13],[1,6,7,8,9,10,11],[1,6,7,8,9,13,14],[2,3,6,7,12,13,14],[2,3,7,8,9,10,11],[2,4,5,6,9,11,13],[2,4,8,9,11,12,14],[2,5,6,7,8,10,13],[2,5,6,9,10,12,14],[2,5,7,8,11,12,14],[3,4,5,6,8,10,14],[3,4,6,7,9,11,14],[3,4,6,8,11,12,13],[3,4,7,9,10,12,13],[3,5,8,9,10,12,13],[4,5,7,10,11,13,14]]; G[10017]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 10018: autom. group order 2, simple, residual B[10018]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,12,13],[1,2,4,9,10,13,14],[1,3,5,7,9,12,14],[1,3,5,8,11,13,14],[1,4,5,7,10,11,12],[1,4,6,8,10,12,14],[1,5,6,9,11,12,13],[1,6,7,8,9,10,11],[1,6,7,8,9,13,14],[2,3,6,7,12,13,14],[2,3,7,8,9,10,11],[2,4,5,6,9,11,13],[2,4,8,9,11,12,14],[2,5,6,7,8,11,14],[2,5,6,9,10,12,14],[2,5,7,8,10,12,13],[3,4,5,6,8,10,14],[3,4,6,7,9,10,13],[3,4,6,8,11,12,13],[3,4,7,9,11,12,14],[3,5,8,9,10,12,13],[4,5,7,10,11,13,14]]; G[10018]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 10019: autom. group order 2, simple, residual B[10019]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,9,11,14],[1,3,5,8,10,12,14],[1,4,5,7,12,13,14],[1,4,6,8,10,12,14],[1,5,6,9,11,12,13],[1,6,7,8,9,10,11],[1,6,7,8,9,13,14],[2,3,6,7,8,9,12],[2,3,8,9,12,13,14],[2,4,5,6,8,11,14],[2,4,7,9,10,11,14],[2,5,6,7,10,12,13],[2,5,6,8,11,13,14],[2,5,7,9,10,12,14],[3,4,5,6,9,10,13],[3,4,6,7,11,12,14],[3,4,6,9,10,13,14],[3,4,7,8,11,12,13],[3,5,7,8,10,11,13],[4,5,8,9,10,11,12]]; G[10019]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 10020: autom. group order 2, simple, residual B[10020]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,8,11,14],[1,3,5,9,10,12,14],[1,4,5,7,12,13,14],[1,4,6,8,9,10,14],[1,5,6,8,9,11,13],[1,6,7,8,10,11,12],[1,6,7,9,12,13,14],[2,3,6,7,8,9,12],[2,3,8,9,12,13,14],[2,4,5,6,11,12,14],[2,4,7,9,10,11,14],[2,5,6,7,9,10,13],[2,5,6,8,11,13,14],[2,5,7,8,10,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,6,8,10,13,14],[3,4,7,8,11,12,13],[3,5,7,9,10,11,13],[4,5,8,9,10,11,12]]; G[10020]:=Group([(2,3)(4,5)(10,11)(13,14)]); # Design 10021: autom. group order 2, simple, residual B[10021]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,14],[1,3,5,7,8,11,14],[1,3,5,9,10,12,13],[1,4,5,7,12,13,14],[1,4,6,8,9,10,14],[1,5,6,8,9,11,13],[1,6,7,8,10,11,12],[1,6,7,9,12,13,14],[2,3,6,7,8,9,12],[2,3,8,9,12,13,14],[2,4,5,6,11,12,14],[2,4,7,9,10,11,13],[2,5,6,7,9,11,13],[2,5,6,8,10,13,14],[2,5,7,8,10,12,14],[3,4,5,6,10,12,13],[3,4,6,7,9,10,14],[3,4,6,8,11,13,14],[3,4,7,8,11,12,13],[3,5,7,9,10,11,14],[4,5,8,9,10,11,12]]; G[10021]:=Group([(2,3)(4,5)(10,11)(13,14)]); # Design 10022: autom. group order 2, simple, residual B[10022]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,11,12,13],[1,3,5,7,8,11,14],[1,3,5,9,10,12,14],[1,4,5,7,12,13,14],[1,4,6,8,9,11,14],[1,5,6,8,9,10,13],[1,6,7,8,10,11,12],[1,6,7,9,12,13,14],[2,3,6,7,8,9,12],[2,3,8,9,12,13,14],[2,4,5,6,10,12,14],[2,4,7,9,10,11,14],[2,5,6,7,9,11,13],[2,5,6,8,10,13,14],[2,5,7,8,11,12,14],[3,4,5,6,11,12,13],[3,4,6,7,9,10,14],[3,4,6,8,11,13,14],[3,4,7,8,10,12,13],[3,5,7,9,10,11,13],[4,5,8,9,10,11,12]]; G[10022]:=Group([(2,3)(4,5)(10,11)(13,14)]); # Design 10023: autom. group order 2, simple, residual B[10023]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,12,13],[1,2,4,9,10,12,13],[1,3,5,7,9,12,14],[1,3,5,8,11,12,14],[1,4,5,10,11,13,14],[1,4,6,7,9,10,14],[1,5,6,7,8,11,13],[1,6,7,8,9,10,11],[1,6,8,9,12,13,14],[2,3,6,8,9,13,14],[2,3,7,8,9,10,11],[2,4,5,6,9,11,14],[2,4,7,8,11,12,14],[2,5,6,7,10,12,14],[2,5,6,9,11,12,13],[2,5,7,8,10,13,14],[3,4,5,6,8,10,13],[3,4,6,7,11,12,13],[3,4,6,8,10,12,14],[3,4,7,9,11,13,14],[3,5,7,9,10,12,13],[4,5,8,9,10,11,12]]; G[10023]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 10024: autom. group order 2, simple, residual B[10024]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,12,13],[1,2,4,9,10,12,14],[1,3,5,7,9,12,14],[1,3,5,8,11,12,13],[1,4,5,10,11,13,14],[1,4,6,7,9,10,13],[1,5,6,7,8,11,14],[1,6,7,8,9,10,11],[1,6,8,9,12,13,14],[2,3,6,8,9,13,14],[2,3,7,8,9,10,11],[2,4,5,6,9,11,14],[2,4,7,8,11,13,14],[2,5,6,7,10,12,13],[2,5,6,9,11,12,13],[2,5,7,8,10,12,14],[3,4,5,6,8,10,13],[3,4,6,7,11,12,14],[3,4,6,8,10,12,14],[3,4,7,9,11,12,13],[3,5,7,9,10,13,14],[4,5,8,9,10,11,12]]; G[10024]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 10025: autom. group order 2, simple B[10025]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,6,10,13,14],[1,2,4,8,9,12,14],[1,3,5,7,11,12,13],[1,3,5,9,10,13,14],[1,4,6,7,8,12,13],[1,4,7,10,11,12,14],[1,5,6,7,8,9,11],[1,5,6,9,12,13,14],[1,7,8,9,10,11,14],[2,3,6,7,9,11,14],[2,3,7,9,12,13,14],[2,4,5,7,11,13,14],[2,4,5,9,10,11,12],[2,5,6,7,8,10,14],[2,5,7,8,10,12,13],[2,6,8,9,11,12,13],[3,4,5,8,11,12,14],[3,4,6,7,9,10,12],[3,4,6,8,11,13,14],[3,4,7,8,9,10,13],[3,5,6,8,10,12,14],[4,5,6,9,10,11,13]]; G[10025]:=Group([(2,11)(3,10)(4,7)(5,14)(6,12)]); # Design 10026: autom. group order 2, simple, residual B[10026]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,12,13],[1,2,4,6,8,13,14],[1,2,4,9,10,13,14],[1,3,5,7,9,11,14],[1,3,5,8,12,13,14],[1,4,6,7,11,12,14],[1,4,7,8,9,10,11],[1,5,6,7,9,12,13],[1,5,6,8,10,11,14],[1,7,8,9,10,12,13],[2,3,6,7,8,9,12],[2,3,7,8,11,13,14],[2,4,5,7,10,12,14],[2,4,5,9,11,12,13],[2,5,6,8,9,10,11],[2,5,7,8,10,12,14],[2,6,7,9,11,13,14],[3,4,5,7,10,11,13],[3,4,6,7,8,10,13],[3,4,6,9,10,12,14],[3,4,8,9,11,12,14],[3,5,6,9,10,13,14],[4,5,6,8,11,12,13]]; G[10026]:=Group([(1,14)(3,7)(4,13)(5,11)(6,8)]); # Design 10027: autom. group order 2, simple, residual B[10027]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,6,8,13,14],[1,2,4,9,10,12,14],[1,3,5,7,9,11,12],[1,3,5,10,12,13,14],[1,4,6,7,10,11,14],[1,4,7,8,9,12,13],[1,5,6,7,8,11,13],[1,5,6,9,12,13,14],[1,7,8,9,10,11,14],[2,3,6,7,9,13,14],[2,3,7,9,11,13,14],[2,4,5,7,11,12,14],[2,4,5,9,10,11,13],[2,5,6,8,11,12,14],[2,5,7,8,10,12,13],[2,6,7,8,9,10,12],[3,4,5,7,8,10,14],[3,4,6,7,10,12,13],[3,4,6,8,9,11,12],[3,4,8,11,12,13,14],[3,5,6,8,9,10,14],[4,5,6,9,10,11,13]]; G[10027]:=Group([(2,11)(3,10)(4,7)(5,14)]); # Design 10028: autom. group order 2, simple, residual B[10028]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,11,12,13],[1,2,4,6,12,13,14],[1,2,4,9,10,12,14],[1,3,5,7,9,11,12],[1,3,5,8,10,13,14],[1,4,6,7,10,11,14],[1,4,7,8,9,12,13],[1,5,6,7,11,12,13],[1,5,6,8,9,13,14],[1,7,8,9,10,11,14],[2,3,7,8,12,13,14],[2,3,7,9,11,13,14],[2,4,5,7,8,11,14],[2,4,5,9,10,11,13],[2,5,6,7,9,10,13],[2,5,6,8,11,12,14],[2,6,7,8,9,10,12],[3,4,5,7,10,12,14],[3,4,6,7,8,10,13],[3,4,6,8,9,11,12],[3,4,6,9,11,13,14],[3,5,6,9,10,12,14],[4,5,8,10,11,12,13]]; G[10028]:=Group([(2,11)(3,10)(4,7)(5,14)]); # Design 10029: autom. group order 2, simple, residual B[10029]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,10,12],[1,2,4,6,11,13,14],[1,2,4,8,12,13,14],[1,3,5,7,12,13,14],[1,3,5,9,11,13,14],[1,4,6,7,10,12,13],[1,4,8,9,10,11,13],[1,5,6,9,10,11,14],[1,5,7,8,10,12,14],[1,6,7,8,9,11,12],[2,3,6,8,11,12,14],[2,3,7,9,10,13,14],[2,4,5,7,9,11,12],[2,4,5,10,11,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,13],[2,6,7,8,9,13,14],[3,4,5,6,8,10,13],[3,4,6,9,10,12,14],[3,4,7,8,10,11,14],[3,4,7,9,11,12,13],[3,5,6,8,11,12,13],[4,5,6,7,8,9,14]]; G[10029]:=Group([(6,8)(7,9)(11,12)]); # Design 10030: autom. group order 2, simple, residual B[10030]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,10,12],[1,2,4,6,11,13,14],[1,2,4,8,12,13,14],[1,3,5,7,12,13,14],[1,3,5,9,11,13,14],[1,4,6,7,10,12,13],[1,4,8,9,10,11,13],[1,5,6,9,10,12,14],[1,5,7,8,10,11,14],[1,6,7,8,9,11,12],[2,3,6,8,11,12,14],[2,3,7,9,10,13,14],[2,4,5,7,9,11,12],[2,4,5,10,11,12,14],[2,5,6,9,10,11,13],[2,5,7,8,10,12,13],[2,6,7,8,9,13,14],[3,4,5,6,8,10,13],[3,4,6,9,10,12,14],[3,4,7,8,10,11,14],[3,4,7,9,11,12,13],[3,5,6,8,11,12,13],[4,5,6,7,8,9,14]]; G[10030]:=Group([(6,8)(7,9)(11,12)]); # Design 10031: autom. group order 2, simple, residual B[10031]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,10,12],[1,2,4,6,11,13,14],[1,2,4,8,12,13,14],[1,3,5,7,12,13,14],[1,3,5,9,11,13,14],[1,4,6,7,10,12,13],[1,4,8,9,10,11,13],[1,5,6,9,10,12,14],[1,5,7,8,10,11,14],[1,6,7,8,9,11,12],[2,3,6,8,11,12,14],[2,3,7,9,10,13,14],[2,4,5,7,9,11,12],[2,4,5,10,11,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,13],[2,6,7,8,9,13,14],[3,4,5,6,8,10,13],[3,4,6,9,10,11,14],[3,4,7,8,10,12,14],[3,4,7,9,11,12,13],[3,5,6,8,11,12,13],[4,5,6,7,8,9,14]]; G[10031]:=Group([(6,8)(7,9)(11,12)]); # Design 10032: autom. group order 2, simple, residual B[10032]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,10,12],[1,2,4,6,12,13,14],[1,2,4,8,11,13,14],[1,3,5,7,11,13,14],[1,3,5,9,12,13,14],[1,4,6,7,10,12,13],[1,4,8,9,10,11,13],[1,5,6,9,10,11,14],[1,5,7,8,10,12,14],[1,6,7,8,9,11,12],[2,3,6,8,11,12,14],[2,3,7,9,10,13,14],[2,4,5,7,9,11,12],[2,4,5,10,11,12,14],[2,5,6,9,10,11,13],[2,5,7,8,10,12,13],[2,6,7,8,9,13,14],[3,4,5,6,8,10,13],[3,4,6,9,10,12,14],[3,4,7,8,10,11,14],[3,4,7,9,11,12,13],[3,5,6,8,11,12,13],[4,5,6,7,8,9,14]]; G[10032]:=Group([(6,8)(7,9)(11,12)]); # Design 10033: autom. group order 2, simple, residual B[10033]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,10,12],[1,2,4,6,12,13,14],[1,2,4,8,11,13,14],[1,3,5,7,11,13,14],[1,3,5,9,12,13,14],[1,4,6,7,10,12,13],[1,4,8,9,10,11,13],[1,5,6,9,10,11,14],[1,5,7,8,10,12,14],[1,6,7,8,9,11,12],[2,3,6,8,11,12,14],[2,3,7,9,10,13,14],[2,4,5,7,9,11,12],[2,4,5,10,11,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,13],[2,6,7,8,9,13,14],[3,4,5,6,8,10,13],[3,4,6,9,10,11,14],[3,4,7,8,10,12,14],[3,4,7,9,11,12,13],[3,5,6,8,11,12,13],[4,5,6,7,8,9,14]]; G[10033]:=Group([(6,8)(7,9)(11,12)]); # Design 10034: autom. group order 2, simple, residual B[10034]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,10,12],[1,2,4,6,11,13,14],[1,2,4,8,12,13,14],[1,3,5,7,12,13,14],[1,3,5,9,11,13,14],[1,4,6,9,10,12,13],[1,4,7,8,10,11,13],[1,5,6,7,10,12,14],[1,5,8,9,10,11,14],[1,6,7,8,9,11,12],[2,3,6,8,11,12,14],[2,3,7,9,10,13,14],[2,4,5,7,9,11,12],[2,4,5,10,11,12,14],[2,5,6,9,10,11,13],[2,5,7,8,10,12,13],[2,6,7,8,9,13,14],[3,4,5,6,8,10,13],[3,4,6,9,10,12,14],[3,4,7,8,10,11,14],[3,4,7,9,11,12,13],[3,5,6,8,11,12,13],[4,5,6,7,8,9,14]]; G[10034]:=Group([(6,8)(7,9)(11,12)]); # Design 10035: autom. group order 2, simple, residual B[10035]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,10,12],[1,2,4,6,11,13,14],[1,2,4,8,12,13,14],[1,3,5,7,12,13,14],[1,3,5,9,11,13,14],[1,4,6,9,10,12,13],[1,4,7,8,10,11,13],[1,5,6,7,10,12,14],[1,5,8,9,10,11,14],[1,6,7,8,9,11,12],[2,3,6,8,11,12,14],[2,3,7,9,10,13,14],[2,4,5,7,9,11,12],[2,4,5,10,11,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,13],[2,6,7,8,9,13,14],[3,4,5,6,8,10,13],[3,4,6,9,10,11,14],[3,4,7,8,10,12,14],[3,4,7,9,11,12,13],[3,5,6,8,11,12,13],[4,5,6,7,8,9,14]]; G[10035]:=Group([(6,8)(7,9)(11,12)]); # Design 10036: autom. group order 2, simple, residual B[10036]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,10,12],[1,2,4,6,12,13,14],[1,2,4,8,11,13,14],[1,3,5,7,11,13,14],[1,3,5,9,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,12,13],[1,5,6,7,10,12,14],[1,5,8,9,10,11,14],[1,6,7,8,9,11,12],[2,3,6,8,11,12,14],[2,3,7,9,10,13,14],[2,4,5,7,9,11,12],[2,4,5,10,11,12,14],[2,5,6,9,10,11,13],[2,5,7,8,10,12,13],[2,6,7,8,9,13,14],[3,4,5,6,8,10,13],[3,4,6,9,10,12,14],[3,4,7,8,10,11,14],[3,4,7,9,11,12,13],[3,5,6,8,11,12,13],[4,5,6,7,8,9,14]]; G[10036]:=Group([(6,8)(7,9)(11,12)]); # Design 10037: autom. group order 2, simple, residual B[10037]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,10,12],[1,2,4,6,12,13,14],[1,2,4,8,11,13,14],[1,3,5,7,11,13,14],[1,3,5,9,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,12,13],[1,5,6,7,10,12,14],[1,5,8,9,10,11,14],[1,6,7,8,9,11,12],[2,3,6,8,11,12,14],[2,3,7,9,10,13,14],[2,4,5,7,9,11,12],[2,4,5,10,11,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,13],[2,6,7,8,9,13,14],[3,4,5,6,8,10,13],[3,4,6,9,10,11,14],[3,4,7,8,10,12,14],[3,4,7,9,11,12,13],[3,5,6,8,11,12,13],[4,5,6,7,8,9,14]]; G[10037]:=Group([(6,8)(7,9)(11,12)]); # Design 10038: autom. group order 2, simple, residual B[10038]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,10,12],[1,2,4,6,11,13,14],[1,2,4,8,12,13,14],[1,3,5,7,12,13,14],[1,3,5,9,11,13,14],[1,4,6,9,10,12,13],[1,4,7,8,10,11,13],[1,5,6,9,10,11,14],[1,5,7,8,10,12,14],[1,6,7,8,9,11,12],[2,3,6,8,11,12,14],[2,3,7,9,10,13,14],[2,4,5,7,9,11,12],[2,4,5,10,11,12,14],[2,5,6,7,10,12,13],[2,5,8,9,10,11,13],[2,6,7,8,9,13,14],[3,4,5,6,8,10,13],[3,4,6,9,10,12,14],[3,4,7,8,10,11,14],[3,4,7,9,11,12,13],[3,5,6,8,11,12,13],[4,5,6,7,8,9,14]]; G[10038]:=Group([(6,8)(7,9)(11,12)]); # Design 10039: autom. group order 2, simple, residual B[10039]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,10,12],[1,2,4,6,11,13,14],[1,2,4,8,12,13,14],[1,3,5,7,12,13,14],[1,3,5,9,11,13,14],[1,4,6,9,10,12,13],[1,4,7,8,10,11,13],[1,5,6,9,10,11,14],[1,5,7,8,10,12,14],[1,6,7,8,9,11,12],[2,3,6,8,11,12,14],[2,3,7,9,10,13,14],[2,4,5,7,9,11,12],[2,4,5,10,11,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,13],[2,6,7,8,9,13,14],[3,4,5,6,8,10,13],[3,4,6,7,10,12,14],[3,4,7,9,11,12,13],[3,4,8,9,10,11,14],[3,5,6,8,11,12,13],[4,5,6,7,8,9,14]]; G[10039]:=Group([(6,8)(7,9)(11,12)]); # Design 10040: autom. group order 2, simple, residual B[10040]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,10,12],[1,2,4,6,12,13,14],[1,2,4,9,11,13,14],[1,3,5,7,11,13,14],[1,3,5,8,12,13,14],[1,4,6,7,10,11,13],[1,4,8,9,10,12,13],[1,5,6,7,10,12,14],[1,5,8,9,10,11,14],[1,6,7,8,9,11,12],[2,3,6,9,11,12,14],[2,3,7,8,10,13,14],[2,4,5,7,8,11,12],[2,4,5,10,11,12,14],[2,5,6,8,10,11,13],[2,5,7,9,10,12,13],[2,6,7,8,9,13,14],[3,4,5,6,9,10,13],[3,4,6,8,10,12,14],[3,4,7,8,11,12,13],[3,4,7,9,10,11,14],[3,5,6,9,11,12,13],[4,5,6,7,8,9,14]]; G[10040]:=Group([(6,9)(7,8)(11,12)]); # Design 10041: autom. group order 2, simple, residual B[10041]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,10,12],[1,2,4,6,12,13,14],[1,2,4,9,11,13,14],[1,3,5,7,11,13,14],[1,3,5,8,12,13,14],[1,4,6,7,10,11,13],[1,4,8,9,10,12,13],[1,5,6,7,10,12,14],[1,5,8,9,10,11,14],[1,6,7,8,9,11,12],[2,3,6,9,11,12,14],[2,3,7,8,10,13,14],[2,4,5,7,8,11,12],[2,4,5,10,11,12,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,13],[2,6,7,8,9,13,14],[3,4,5,6,9,10,13],[3,4,6,8,10,11,14],[3,4,7,8,11,12,13],[3,4,7,9,10,12,14],[3,5,6,9,11,12,13],[4,5,6,7,8,9,14]]; G[10041]:=Group([(6,9)(7,8)(11,12)]); # Design 10042: autom. group order 2, simple B[10042]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,12,13],[1,2,4,6,8,13,14],[1,2,4,9,10,13,14],[1,3,5,7,9,11,14],[1,3,5,8,12,13,14],[1,4,6,7,11,12,14],[1,4,7,8,9,10,11],[1,5,6,7,9,12,13],[1,5,7,8,10,11,13],[1,6,8,9,10,12,14],[2,3,6,7,8,9,10],[2,3,7,8,11,13,14],[2,4,5,7,10,12,14],[2,4,5,9,11,12,13],[2,5,6,8,9,11,12],[2,5,7,8,10,12,14],[2,6,7,9,11,13,14],[3,4,5,6,10,11,14],[3,4,6,7,8,12,13],[3,4,7,9,10,12,13],[3,4,8,9,11,12,14],[3,5,6,9,10,13,14],[4,5,6,8,10,11,13]]; G[10042]:=Group([(1,14)(3,7)(4,13)(5,11)(6,8)]); # Design 10043: autom. group order 2, simple, residual B[10043]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,12,13],[1,2,4,6,8,13,14],[1,2,4,9,10,13,14],[1,3,5,7,9,11,14],[1,3,5,8,12,13,14],[1,4,6,7,11,12,14],[1,4,7,8,9,10,11],[1,5,6,7,9,12,13],[1,5,7,8,10,11,13],[1,6,8,9,10,12,14],[2,3,6,7,8,9,12],[2,3,7,8,11,13,14],[2,4,5,7,10,12,14],[2,4,5,9,11,12,13],[2,5,6,8,9,10,11],[2,5,7,8,10,12,14],[2,6,7,9,11,13,14],[3,4,5,6,10,11,14],[3,4,6,7,8,10,13],[3,4,7,9,10,12,13],[3,4,8,9,11,12,14],[3,5,6,9,10,13,14],[4,5,6,8,11,12,13]]; G[10043]:=Group([(1,14)(3,7)(4,13)(5,11)(6,8)]); # Design 10044: autom. group order 2, simple, residual B[10044]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,8,12,13,14],[1,2,4,9,10,12,14],[1,3,5,6,12,13,14],[1,3,5,8,11,13,14],[1,4,6,7,8,9,11],[1,4,6,8,10,11,14],[1,5,6,7,9,10,13],[1,5,7,9,10,12,14],[1,7,8,9,11,12,13],[2,3,6,7,8,9,14],[2,3,7,9,11,12,14],[2,4,5,7,11,13,14],[2,4,5,9,10,11,13],[2,5,6,8,9,12,13],[2,5,6,8,10,11,12],[2,6,7,8,10,13,14],[3,4,5,7,8,10,12],[3,4,6,9,10,13,14],[3,4,6,9,11,12,13],[3,4,7,8,10,12,13],[3,5,8,9,10,11,14],[4,5,6,7,11,12,14]]; G[10044]:=Group([(1,2)(3,4)(6,9)(7,8)(10,12)(11,14)]); # Design 10045: autom. group order 2, simple, residual B[10045]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,8,12,13,14],[1,2,4,9,10,12,14],[1,3,5,6,8,13,14],[1,3,5,11,12,13,14],[1,4,6,7,8,11,14],[1,4,6,8,9,10,11],[1,5,6,7,9,10,13],[1,5,7,9,10,12,14],[1,7,8,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,11,14],[2,4,5,7,9,11,13],[2,4,5,10,11,13,14],[2,5,6,8,9,12,13],[2,5,6,8,10,11,12],[2,6,7,8,10,13,14],[3,4,5,7,8,10,12],[3,4,6,9,10,13,14],[3,4,6,9,11,12,13],[3,4,7,8,10,12,13],[3,5,8,9,10,11,14],[4,5,6,7,11,12,14]]; G[10045]:=Group([(1,2)(3,4)(6,9)(7,8)(10,12)(11,14)]); # Design 10046: autom. group order 2, simple B[10046]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,10,12,14],[1,2,4,9,12,13,14],[1,3,5,6,9,10,14],[1,3,5,11,12,13,14],[1,4,6,7,9,11,14],[1,4,6,8,9,11,13],[1,5,6,7,8,12,13],[1,5,7,8,10,13,14],[1,7,8,9,10,11,12],[2,3,6,7,8,11,14],[2,3,7,8,9,13,14],[2,4,5,7,8,11,12],[2,4,5,10,11,13,14],[2,5,6,7,9,10,13],[2,5,6,9,11,12,13],[2,6,8,9,10,12,14],[3,4,5,8,9,10,12],[3,4,6,7,10,12,13],[3,4,6,8,12,13,14],[3,4,7,9,10,11,13],[3,5,7,9,11,12,14],[4,5,6,8,10,11,14]]; G[10046]:=Group([(1,2)(3,4)(6,7)(8,9)(10,12)(11,14)]); # Design 10047: autom. group order 2, simple B[10047]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,7,10,11,13],[1,2,4,9,11,12,14],[1,3,5,6,9,11,13],[1,3,5,10,12,13,14],[1,4,6,7,8,13,14],[1,4,6,8,9,10,14],[1,5,6,7,8,11,12],[1,5,7,9,10,12,14],[1,7,8,9,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,11,14],[2,4,5,7,8,10,12],[2,4,5,11,12,13,14],[2,5,6,7,9,10,13],[2,5,6,8,11,13,14],[2,6,8,9,10,12,13],[3,4,5,8,9,12,13],[3,4,6,7,12,13,14],[3,4,6,8,10,11,12],[3,4,7,9,10,11,13],[3,5,7,8,10,11,14],[4,5,6,9,10,11,14]]; G[10047]:=Group([(1,2)(3,4)(6,7)(8,9)(10,11)(12,13)]); # Design 10048: autom. group order 2, simple B[10048]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,12,13,14],[1,2,4,8,9,12,13],[1,2,4,10,11,12,14],[1,3,5,6,12,13,14],[1,3,5,8,9,11,14],[1,4,6,7,8,11,12],[1,4,6,9,10,11,13],[1,5,7,8,10,13,14],[1,5,7,9,10,11,13],[1,6,7,8,9,12,14],[2,3,6,8,9,10,13],[2,3,7,8,11,12,13],[2,4,5,6,7,13,14],[2,4,5,8,10,11,14],[2,5,6,9,11,12,14],[2,5,7,9,11,12,13],[2,6,7,8,9,10,14],[3,4,5,7,9,10,12],[3,4,6,9,11,13,14],[3,4,7,8,11,13,14],[3,4,7,9,10,12,14],[3,5,6,8,10,11,12],[4,5,6,8,10,12,13]]; G[10048]:=Group([(1,2)(3,4)(6,8)(7,9)(10,12)(11,13)]); # Design 10049: autom. group order 2, simple B[10049]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,12,13,14],[1,2,4,8,9,12,13],[1,2,4,10,11,12,14],[1,3,5,6,12,13,14],[1,3,5,8,9,11,14],[1,4,6,7,8,11,12],[1,4,6,9,10,11,13],[1,5,7,8,10,13,14],[1,5,7,9,11,12,13],[1,6,7,8,9,10,14],[2,3,6,8,9,10,13],[2,3,7,8,11,12,13],[2,4,5,6,7,13,14],[2,4,5,8,10,11,14],[2,5,6,9,11,12,14],[2,5,7,9,10,11,13],[2,6,7,8,9,12,14],[3,4,5,7,9,10,12],[3,4,6,9,11,13,14],[3,4,7,8,11,13,14],[3,4,7,9,10,12,14],[3,5,6,8,10,11,12],[4,5,6,8,10,12,13]]; G[10049]:=Group([(1,2)(3,4)(6,8)(7,9)(10,12)(11,13)]); # Design 10050: autom. group order 2, simple, residual B[10050]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,11,12,13],[1,2,4,7,9,12,14],[1,2,4,10,12,13,14],[1,3,5,6,7,13,14],[1,3,5,9,11,12,13],[1,4,6,7,9,10,11],[1,4,6,8,11,12,14],[1,5,7,8,10,11,14],[1,5,8,9,10,13,14],[1,6,7,8,9,12,13],[2,3,6,8,9,12,14],[2,3,7,9,10,11,14],[2,4,5,6,10,13,14],[2,4,5,8,9,11,13],[2,5,6,7,11,12,13],[2,5,7,8,11,12,14],[2,6,7,8,9,10,13],[3,4,5,7,8,10,12],[3,4,6,8,11,13,14],[3,4,7,8,10,12,13],[3,4,7,9,11,13,14],[3,5,6,9,10,12,14],[4,5,6,9,10,11,12]]; G[10050]:=Group([(1,2)(3,4)(6,9)(7,8)(10,12)(11,14)]); # Design 10051: autom. group order 2, simple, residual B[10051]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,12,13,14],[1,2,4,7,9,12,13],[1,2,4,10,11,12,14],[1,3,5,6,7,13,14],[1,3,5,9,11,12,14],[1,4,6,7,9,10,11],[1,4,6,8,11,12,13],[1,5,7,8,10,11,13],[1,5,8,9,10,13,14],[1,6,7,8,9,12,14],[2,3,6,8,9,12,13],[2,3,7,9,10,11,13],[2,4,5,6,10,13,14],[2,4,5,8,9,11,14],[2,5,6,7,11,12,14],[2,5,7,8,11,12,13],[2,6,7,8,9,10,14],[3,4,5,7,8,10,12],[3,4,6,8,11,13,14],[3,4,7,8,10,12,14],[3,4,7,9,11,13,14],[3,5,6,9,10,11,12],[4,5,6,9,10,12,13]]; G[10051]:=Group([(1,2)(3,4)(6,9)(7,8)(10,12)(11,13)]); # Design 10052: autom. group order 2, simple, residual B[10052]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,12,13,14],[1,2,4,7,9,12,13],[1,2,4,10,11,12,14],[1,3,5,6,7,13,14],[1,3,5,9,11,12,14],[1,4,6,7,9,10,11],[1,4,6,8,11,12,13],[1,5,7,8,11,12,13],[1,5,8,9,10,13,14],[1,6,7,8,9,10,14],[2,3,6,8,9,12,13],[2,3,7,9,10,11,13],[2,4,5,6,10,13,14],[2,4,5,8,9,11,14],[2,5,6,7,11,12,14],[2,5,7,8,10,11,13],[2,6,7,8,9,12,14],[3,4,5,7,8,10,12],[3,4,6,8,11,13,14],[3,4,7,8,10,12,14],[3,4,7,9,11,13,14],[3,5,6,9,10,11,12],[4,5,6,9,10,12,13]]; G[10052]:=Group([(1,2)(3,4)(6,9)(7,8)(10,12)(11,13)]); # Design 10053: autom. group order 2, simple B[10053]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,7,11,13,14],[1,2,4,9,10,12,13],[1,3,5,6,9,11,14],[1,3,5,8,12,13,14],[1,4,6,7,8,10,14],[1,4,6,9,11,12,14],[1,5,7,8,9,10,11],[1,5,7,10,11,12,13],[1,6,7,8,9,12,13],[2,3,6,7,9,12,13],[2,3,7,8,11,12,14],[2,4,5,7,8,11,12],[2,4,5,9,10,12,14],[2,5,6,8,9,11,13],[2,5,6,10,11,13,14],[2,6,7,8,9,10,14],[3,4,5,6,7,10,13],[3,4,6,8,10,11,12],[3,4,7,9,11,13,14],[3,4,8,9,10,11,13],[3,5,7,9,10,12,14],[4,5,6,8,12,13,14]]; G[10053]:=Group([(1,2)(3,4)(6,7)(8,9)(10,13)(12,14)]); # Design 10054: autom. group order 2, simple B[10054]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,11,12],[1,2,4,9,10,13,14],[1,3,5,6,8,11,13],[1,3,5,7,9,12,14],[1,4,6,9,11,13,14],[1,4,7,8,11,12,14],[1,5,6,7,10,11,14],[1,5,8,9,10,12,13],[1,6,7,8,9,12,13],[2,3,6,9,11,12,13],[2,3,7,8,12,13,14],[2,4,5,6,9,12,14],[2,4,5,7,8,11,13],[2,5,6,8,10,12,14],[2,5,7,9,10,11,13],[2,6,7,8,9,11,14],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,8,10,13,14],[3,4,7,9,10,11,12],[3,5,8,9,10,11,14],[4,5,6,7,10,12,13]]; G[10054]:=Group([(6,7)(8,9)(11,14)(12,13)]); # Design 10055: autom. group order 2, simple B[10055]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,11,12],[1,2,4,9,10,13,14],[1,3,5,6,8,11,13],[1,3,5,7,9,12,14],[1,4,6,9,11,12,14],[1,4,7,8,11,13,14],[1,5,6,7,10,11,14],[1,5,8,9,10,12,13],[1,6,7,8,9,12,13],[2,3,6,9,12,13,14],[2,3,7,8,11,12,13],[2,4,5,6,9,11,13],[2,4,5,7,8,12,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,13],[2,6,7,8,9,11,14],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,8,10,13,14],[3,4,7,9,10,11,12],[3,5,8,9,10,11,14],[4,5,6,7,10,12,13]]; G[10055]:=Group([(6,7)(8,9)(11,14)(12,13)]); # Design 10056: autom. group order 2, simple B[10056]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,11,12],[1,2,4,9,10,13,14],[1,3,5,6,8,11,13],[1,3,5,7,9,12,14],[1,4,6,9,11,12,13],[1,4,7,8,12,13,14],[1,5,6,7,10,12,13],[1,5,8,9,10,11,14],[1,6,7,8,9,11,14],[2,3,6,9,11,13,14],[2,3,7,8,11,12,14],[2,4,5,6,9,12,14],[2,4,5,7,8,11,13],[2,5,6,8,10,12,14],[2,5,7,9,10,11,13],[2,6,7,8,9,12,13],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,8,10,13,14],[3,4,7,9,10,11,12],[3,5,8,9,10,12,13],[4,5,6,7,10,11,14]]; G[10056]:=Group([(6,7)(8,9)(11,14)(12,13)]); # Design 10057: autom. group order 2, simple B[10057]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,11,12],[1,2,4,9,10,13,14],[1,3,5,6,8,13,14],[1,3,5,7,9,11,12],[1,4,6,9,11,13,14],[1,4,7,8,11,12,13],[1,5,6,7,10,11,13],[1,5,8,9,10,12,14],[1,6,7,8,9,12,14],[2,3,6,9,11,12,14],[2,3,7,8,12,13,14],[2,4,5,6,9,12,13],[2,4,5,7,8,11,14],[2,5,6,8,10,11,14],[2,5,7,9,10,12,13],[2,6,7,8,9,11,13],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,8,10,12,13],[3,4,7,9,10,11,14],[3,5,8,9,10,11,13],[4,5,6,7,10,12,14]]; G[10057]:=Group([(6,7)(8,9)(11,13)(12,14)]); # Design 10058: autom. group order 2, simple B[10058]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,11,12],[1,2,4,9,10,13,14],[1,3,5,6,8,13,14],[1,3,5,7,9,11,12],[1,4,6,9,11,13,14],[1,4,7,8,11,12,13],[1,5,6,7,10,11,13],[1,5,8,9,10,12,14],[1,6,7,8,9,12,14],[2,3,6,9,11,12,14],[2,3,7,8,12,13,14],[2,4,5,6,9,12,13],[2,4,5,7,8,11,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,14],[2,6,7,8,9,11,13],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,8,10,11,14],[3,4,7,9,10,12,13],[3,5,8,9,10,11,13],[4,5,6,7,10,12,14]]; G[10058]:=Group([(6,7)(8,9)(11,13)(12,14)]); # Design 10059: autom. group order 2, simple B[10059]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,11,12],[1,2,4,9,10,13,14],[1,3,5,6,8,13,14],[1,3,5,7,9,11,12],[1,4,6,9,11,12,13],[1,4,7,8,11,13,14],[1,5,6,7,10,11,13],[1,5,8,9,10,12,14],[1,6,7,8,9,12,14],[2,3,6,9,12,13,14],[2,3,7,8,11,12,14],[2,4,5,6,9,11,14],[2,4,5,7,8,12,13],[2,5,6,8,10,11,14],[2,5,7,9,10,12,13],[2,6,7,8,9,11,13],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,8,10,12,13],[3,4,7,9,10,11,14],[3,5,8,9,10,11,13],[4,5,6,7,10,12,14]]; G[10059]:=Group([(6,7)(8,9)(11,13)(12,14)]); # Design 10060: autom. group order 2, simple B[10060]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,11,12],[1,2,4,9,10,13,14],[1,3,5,6,8,13,14],[1,3,5,7,9,11,12],[1,4,6,9,11,12,13],[1,4,7,8,11,13,14],[1,5,6,7,10,11,13],[1,5,8,9,10,12,14],[1,6,7,8,9,12,14],[2,3,6,9,12,13,14],[2,3,7,8,11,12,14],[2,4,5,6,9,11,14],[2,4,5,7,8,12,13],[2,5,6,8,10,12,13],[2,5,7,9,10,11,14],[2,6,7,8,9,11,13],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,8,10,11,14],[3,4,7,9,10,12,13],[3,5,8,9,10,11,13],[4,5,6,7,10,12,14]]; G[10060]:=Group([(6,7)(8,9)(11,13)(12,14)]); # Design 10061: autom. group order 2, simple B[10061]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,11,12],[1,2,4,9,10,13,14],[1,3,5,6,8,11,13],[1,3,5,7,9,12,14],[1,4,6,9,11,13,14],[1,4,7,8,11,12,14],[1,5,6,7,10,11,14],[1,5,8,9,10,12,13],[1,6,7,8,9,12,13],[2,3,6,9,11,12,13],[2,3,7,8,12,13,14],[2,4,5,6,8,12,14],[2,4,5,7,9,11,13],[2,5,6,9,10,12,14],[2,5,7,8,10,11,13],[2,6,7,8,9,11,14],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,8,10,13,14],[3,4,7,9,10,11,12],[3,5,8,9,10,11,14],[4,5,6,7,10,12,13]]; G[10061]:=Group([(6,7)(8,9)(11,14)(12,13)]); # Design 10062: autom. group order 2, simple B[10062]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,11,12],[1,2,4,9,10,13,14],[1,3,5,6,8,11,13],[1,3,5,7,9,12,14],[1,4,6,9,11,13,14],[1,4,7,8,11,12,14],[1,5,6,7,10,11,14],[1,5,8,9,10,12,13],[1,6,7,8,9,12,13],[2,3,6,9,11,12,13],[2,3,7,8,12,13,14],[2,4,5,6,8,13,14],[2,4,5,7,9,11,12],[2,5,6,9,10,12,14],[2,5,7,8,10,11,13],[2,6,7,8,9,11,14],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,8,10,12,14],[3,4,7,9,10,11,13],[3,5,8,9,10,11,14],[4,5,6,7,10,12,13]]; G[10062]:=Group([(6,7)(8,9)(11,14)(12,13)]); # Design 10063: autom. group order 2, simple B[10063]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,11,12],[1,2,4,9,10,13,14],[1,3,5,6,8,11,13],[1,3,5,7,9,12,14],[1,4,6,9,11,12,14],[1,4,7,8,11,13,14],[1,5,6,7,10,11,14],[1,5,8,9,10,12,13],[1,6,7,8,9,12,13],[2,3,6,9,12,13,14],[2,3,7,8,11,12,13],[2,4,5,6,8,12,14],[2,4,5,7,9,11,13],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[2,6,7,8,9,11,14],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,8,10,13,14],[3,4,7,9,10,11,12],[3,5,8,9,10,11,14],[4,5,6,7,10,12,13]]; G[10063]:=Group([(6,7)(8,9)(11,14)(12,13)]); # Design 10064: autom. group order 2, simple B[10064]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,11,12],[1,2,4,9,10,13,14],[1,3,5,6,8,11,13],[1,3,5,7,9,12,14],[1,4,6,9,11,12,14],[1,4,7,8,11,13,14],[1,5,6,7,10,11,14],[1,5,8,9,10,12,13],[1,6,7,8,9,12,13],[2,3,6,9,12,13,14],[2,3,7,8,11,12,13],[2,4,5,6,8,13,14],[2,4,5,7,9,11,12],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[2,6,7,8,9,11,14],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,8,10,12,14],[3,4,7,9,10,11,13],[3,5,8,9,10,11,14],[4,5,6,7,10,12,13]]; G[10064]:=Group([(6,7)(8,9)(11,14)(12,13)]); # Design 10065: autom. group order 2, simple B[10065]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,11,12],[1,2,4,9,10,13,14],[1,3,5,6,8,11,13],[1,3,5,7,9,12,14],[1,4,6,9,11,12,13],[1,4,7,8,12,13,14],[1,5,6,7,10,12,13],[1,5,8,9,10,11,14],[1,6,7,8,9,11,14],[2,3,6,9,11,13,14],[2,3,7,8,11,12,14],[2,4,5,6,8,12,14],[2,4,5,7,9,11,13],[2,5,6,9,10,12,14],[2,5,7,8,10,11,13],[2,6,7,8,9,12,13],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,8,10,13,14],[3,4,7,9,10,11,12],[3,5,8,9,10,12,13],[4,5,6,7,10,11,14]]; G[10065]:=Group([(6,7)(8,9)(11,14)(12,13)]); # Design 10066: autom. group order 2, simple B[10066]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,11,12],[1,2,4,9,10,13,14],[1,3,5,6,8,11,13],[1,3,5,7,9,12,14],[1,4,6,9,11,12,13],[1,4,7,8,12,13,14],[1,5,6,7,10,12,13],[1,5,8,9,10,11,14],[1,6,7,8,9,11,14],[2,3,6,9,11,13,14],[2,3,7,8,11,12,14],[2,4,5,6,8,13,14],[2,4,5,7,9,11,12],[2,5,6,9,10,12,14],[2,5,7,8,10,11,13],[2,6,7,8,9,12,13],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,8,10,12,14],[3,4,7,9,10,11,13],[3,5,8,9,10,12,13],[4,5,6,7,10,11,14]]; G[10066]:=Group([(6,7)(8,9)(11,14)(12,13)]); # Design 10067: autom. group order 2, simple B[10067]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,11,12],[1,2,4,9,10,13,14],[1,3,5,6,8,13,14],[1,3,5,7,9,11,12],[1,4,6,9,11,13,14],[1,4,7,8,11,12,13],[1,5,6,7,10,11,13],[1,5,8,9,10,12,14],[1,6,7,8,9,12,14],[2,3,6,9,11,12,14],[2,3,7,8,12,13,14],[2,4,5,6,8,11,14],[2,4,5,7,9,12,13],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[2,6,7,8,9,11,13],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,8,10,12,13],[3,4,7,9,10,11,14],[3,5,8,9,10,11,13],[4,5,6,7,10,12,14]]; G[10067]:=Group([(6,7)(8,9)(11,13)(12,14)]); # Design 10068: autom. group order 2, simple B[10068]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,11,12],[1,2,4,9,10,13,14],[1,3,5,6,8,13,14],[1,3,5,7,9,11,12],[1,4,6,9,11,13,14],[1,4,7,8,11,12,13],[1,5,6,7,10,11,13],[1,5,8,9,10,12,14],[1,6,7,8,9,12,14],[2,3,6,9,11,12,14],[2,3,7,8,12,13,14],[2,4,5,6,8,12,13],[2,4,5,7,9,11,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[2,6,7,8,9,11,13],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,8,10,11,14],[3,4,7,9,10,12,13],[3,5,8,9,10,11,13],[4,5,6,7,10,12,14]]; G[10068]:=Group([(6,7)(8,9)(11,13)(12,14)]); # Design 10069: autom. group order 2, simple B[10069]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,11,12],[1,2,4,9,10,13,14],[1,3,5,6,8,13,14],[1,3,5,7,9,11,12],[1,4,6,9,11,12,13],[1,4,7,8,11,13,14],[1,5,6,7,10,11,13],[1,5,8,9,10,12,14],[1,6,7,8,9,12,14],[2,3,6,9,12,13,14],[2,3,7,8,11,12,14],[2,4,5,6,8,11,14],[2,4,5,7,9,12,13],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[2,6,7,8,9,11,13],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,8,10,12,13],[3,4,7,9,10,11,14],[3,5,8,9,10,11,13],[4,5,6,7,10,12,14]]; G[10069]:=Group([(6,7)(8,9)(11,13)(12,14)]); # Design 10070: autom. group order 2, simple B[10070]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,11,12],[1,2,4,9,10,13,14],[1,3,5,6,8,13,14],[1,3,5,7,9,11,12],[1,4,6,9,11,12,13],[1,4,7,8,11,13,14],[1,5,6,7,10,11,13],[1,5,8,9,10,12,14],[1,6,7,8,9,12,14],[2,3,6,9,12,13,14],[2,3,7,8,11,12,14],[2,4,5,6,8,12,13],[2,4,5,7,9,11,14],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[2,6,7,8,9,11,13],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,8,10,11,14],[3,4,7,9,10,12,13],[3,5,8,9,10,11,13],[4,5,6,7,10,12,14]]; G[10070]:=Group([(6,7)(8,9)(11,13)(12,14)]); # Design 10071: autom. group order 2, simple B[10071]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,11,12],[1,2,4,9,10,13,14],[1,3,5,6,8,11,13],[1,3,5,7,9,12,14],[1,4,6,9,11,12,13],[1,4,7,8,12,13,14],[1,5,6,7,10,12,13],[1,5,8,9,10,11,14],[1,6,7,8,9,11,14],[2,3,6,9,11,13,14],[2,3,7,8,11,12,14],[2,4,5,6,8,13,14],[2,4,5,7,9,11,12],[2,5,6,8,10,12,14],[2,5,7,9,10,11,13],[2,6,7,8,9,12,13],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,9,10,12,14],[3,4,7,8,10,11,13],[3,5,8,9,10,12,13],[4,5,6,7,10,11,14]]; G[10071]:=Group([(6,7)(8,9)(11,14)(12,13)]); # Design 10072: autom. group order 2, simple B[10072]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,11,12],[1,2,4,9,10,13,14],[1,3,5,6,8,13,14],[1,3,5,7,9,11,12],[1,4,6,9,11,13,14],[1,4,7,8,11,12,13],[1,5,6,7,10,11,13],[1,5,8,9,10,12,14],[1,6,7,8,9,12,14],[2,3,6,9,11,12,14],[2,3,7,8,12,13,14],[2,4,5,6,8,11,14],[2,4,5,7,9,12,13],[2,5,6,8,10,12,13],[2,5,7,9,10,11,14],[2,6,7,8,9,11,13],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,9,10,12,13],[3,4,7,8,10,11,14],[3,5,8,9,10,11,13],[4,5,6,7,10,12,14]]; G[10072]:=Group([(6,7)(8,9)(11,13)(12,14)]); # Design 10073: autom. group order 2, simple B[10073]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,11,12],[1,2,4,9,10,13,14],[1,3,5,6,8,13,14],[1,3,5,7,9,11,12],[1,4,6,9,11,13,14],[1,4,7,8,11,12,13],[1,5,6,7,10,11,13],[1,5,8,9,10,12,14],[1,6,7,8,9,12,14],[2,3,6,9,11,12,14],[2,3,7,8,12,13,14],[2,4,5,6,8,12,13],[2,4,5,7,9,11,14],[2,5,6,8,10,11,14],[2,5,7,9,10,12,13],[2,6,7,8,9,11,13],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,9,10,12,13],[3,4,7,8,10,11,14],[3,5,8,9,10,11,13],[4,5,6,7,10,12,14]]; G[10073]:=Group([(6,7)(8,9)(11,13)(12,14)]); # Design 10074: autom. group order 2, simple B[10074]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,11,12],[1,2,4,9,10,13,14],[1,3,5,6,8,13,14],[1,3,5,7,9,11,12],[1,4,6,9,11,12,13],[1,4,7,8,11,13,14],[1,5,6,7,10,11,13],[1,5,8,9,10,12,14],[1,6,7,8,9,12,14],[2,3,6,9,12,13,14],[2,3,7,8,11,12,14],[2,4,5,6,8,11,14],[2,4,5,7,9,12,13],[2,5,6,8,10,12,13],[2,5,7,9,10,11,14],[2,6,7,8,9,11,13],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,9,10,11,14],[3,4,7,8,10,12,13],[3,5,8,9,10,11,13],[4,5,6,7,10,12,14]]; G[10074]:=Group([(6,7)(8,9)(11,13)(12,14)]); # Design 10075: autom. group order 2, simple B[10075]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,11,12],[1,2,4,9,10,13,14],[1,3,5,6,8,13,14],[1,3,5,7,9,11,12],[1,4,6,9,11,12,13],[1,4,7,8,11,13,14],[1,5,6,7,10,11,13],[1,5,8,9,10,12,14],[1,6,7,8,9,12,14],[2,3,6,9,12,13,14],[2,3,7,8,11,12,14],[2,4,5,6,8,12,13],[2,4,5,7,9,11,14],[2,5,6,8,10,11,14],[2,5,7,9,10,12,13],[2,6,7,8,9,11,13],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,9,10,11,14],[3,4,7,8,10,12,13],[3,5,8,9,10,11,13],[4,5,6,7,10,12,14]]; G[10075]:=Group([(6,7)(8,9)(11,13)(12,14)]); # Design 10076: autom. group order 2, simple B[10076]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,11,13],[1,2,4,9,10,12,14],[1,3,5,6,8,11,13],[1,3,5,7,9,12,14],[1,4,6,9,11,13,14],[1,4,7,8,11,12,14],[1,5,6,7,10,11,14],[1,5,8,9,10,12,13],[1,6,7,8,9,12,13],[2,3,6,8,12,13,14],[2,3,7,9,11,12,13],[2,4,5,6,9,11,12],[2,4,5,7,8,13,14],[2,5,6,9,10,13,14],[2,5,7,8,10,11,12],[2,6,7,8,9,11,14],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,8,10,12,14],[3,4,7,9,10,11,13],[3,5,8,9,10,11,14],[4,5,6,7,10,12,13]]; G[10076]:=Group([(6,7)(8,9)(11,14)(12,13)]); # Design 10077: autom. group order 2, simple B[10077]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,11,13],[1,2,4,9,10,12,14],[1,3,5,6,8,11,13],[1,3,5,7,9,12,14],[1,4,6,9,11,13,14],[1,4,7,8,11,12,14],[1,5,6,7,10,11,14],[1,5,8,9,10,12,13],[1,6,7,8,9,12,13],[2,3,6,8,12,13,14],[2,3,7,9,11,12,13],[2,4,5,6,9,13,14],[2,4,5,7,8,11,12],[2,5,6,9,10,11,12],[2,5,7,8,10,13,14],[2,6,7,8,9,11,14],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,8,10,12,14],[3,4,7,9,10,11,13],[3,5,8,9,10,11,14],[4,5,6,7,10,12,13]]; G[10077]:=Group([(6,7)(8,9)(11,14)(12,13)]); # Design 10078: autom. group order 2, simple B[10078]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,11,13],[1,2,4,9,10,12,14],[1,3,5,6,8,12,14],[1,3,5,7,9,11,13],[1,4,6,9,11,12,14],[1,4,7,8,11,13,14],[1,5,6,7,10,11,14],[1,5,8,9,10,12,13],[1,6,7,8,9,12,13],[2,3,6,8,11,12,13],[2,3,7,9,12,13,14],[2,4,5,6,9,11,13],[2,4,5,7,8,12,14],[2,5,6,9,10,13,14],[2,5,7,8,10,11,12],[2,6,7,8,9,11,14],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,8,10,13,14],[3,4,7,9,10,11,12],[3,5,8,9,10,11,14],[4,5,6,7,10,12,13]]; G[10078]:=Group([(6,7)(8,9)(11,14)(12,13)]); # Design 10079: autom. group order 2, simple B[10079]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,11,13],[1,2,4,9,10,12,14],[1,3,5,6,8,12,14],[1,3,5,7,9,11,13],[1,4,6,9,11,12,14],[1,4,7,8,11,13,14],[1,5,6,7,10,11,14],[1,5,8,9,10,12,13],[1,6,7,8,9,12,13],[2,3,6,8,11,12,13],[2,3,7,9,12,13,14],[2,4,5,6,9,13,14],[2,4,5,7,8,11,12],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[2,6,7,8,9,11,14],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,8,10,13,14],[3,4,7,9,10,11,12],[3,5,8,9,10,11,14],[4,5,6,7,10,12,13]]; G[10079]:=Group([(6,7)(8,9)(11,14)(12,13)]); # Design 10080: autom. group order 2, simple B[10080]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,11,13],[1,2,4,9,10,12,14],[1,3,5,6,8,12,14],[1,3,5,7,9,11,13],[1,4,6,9,11,13,14],[1,4,7,8,11,12,14],[1,5,6,7,10,11,14],[1,5,8,9,10,12,13],[1,6,7,8,9,12,13],[2,3,6,8,12,13,14],[2,3,7,9,11,12,13],[2,4,5,6,9,11,12],[2,4,5,7,8,13,14],[2,5,6,9,10,13,14],[2,5,7,8,10,11,12],[2,6,7,8,9,11,14],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,8,10,11,13],[3,4,7,9,10,12,14],[3,5,8,9,10,11,14],[4,5,6,7,10,12,13]]; G[10080]:=Group([(6,7)(8,9)(11,14)(12,13)]); # Design 10081: autom. group order 2, simple B[10081]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,11,13],[1,2,4,9,10,12,14],[1,3,5,6,8,12,14],[1,3,5,7,9,11,13],[1,4,6,9,11,13,14],[1,4,7,8,11,12,14],[1,5,6,7,10,11,14],[1,5,8,9,10,12,13],[1,6,7,8,9,12,13],[2,3,6,8,12,13,14],[2,3,7,9,11,12,13],[2,4,5,6,9,13,14],[2,4,5,7,8,11,12],[2,5,6,9,10,11,12],[2,5,7,8,10,13,14],[2,6,7,8,9,11,14],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,8,10,11,13],[3,4,7,9,10,12,14],[3,5,8,9,10,11,14],[4,5,6,7,10,12,13]]; G[10081]:=Group([(6,7)(8,9)(11,14)(12,13)]); # Design 10082: autom. group order 2, simple B[10082]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,11,13],[1,2,4,9,10,12,14],[1,3,5,6,8,12,14],[1,3,5,7,9,11,13],[1,4,6,9,11,12,14],[1,4,7,8,11,13,14],[1,5,6,7,10,11,14],[1,5,8,9,10,12,13],[1,6,7,8,9,12,13],[2,3,6,8,11,12,13],[2,3,7,9,12,13,14],[2,4,5,6,9,11,13],[2,4,5,7,8,12,14],[2,5,6,8,10,13,14],[2,5,7,9,10,11,12],[2,6,7,8,9,11,14],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,9,10,13,14],[3,4,7,8,10,11,12],[3,5,8,9,10,11,14],[4,5,6,7,10,12,13]]; G[10082]:=Group([(6,7)(8,9)(11,14)(12,13)]); # Design 10083: autom. group order 2, simple B[10083]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,11,13],[1,2,4,9,10,12,14],[1,3,5,6,8,12,14],[1,3,5,7,9,11,13],[1,4,6,9,11,12,14],[1,4,7,8,11,13,14],[1,5,6,7,10,11,14],[1,5,8,9,10,12,13],[1,6,7,8,9,12,13],[2,3,6,8,11,12,13],[2,3,7,9,12,13,14],[2,4,5,6,9,13,14],[2,4,5,7,8,11,12],[2,5,6,8,10,13,14],[2,5,7,9,10,11,12],[2,6,7,8,9,11,14],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,9,10,11,13],[3,4,7,8,10,12,14],[3,5,8,9,10,11,14],[4,5,6,7,10,12,13]]; G[10083]:=Group([(6,7)(8,9)(11,14)(12,13)]); # Design 10084: autom. group order 2, simple B[10084]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,11,13],[1,2,4,9,10,12,14],[1,3,5,6,8,12,14],[1,3,5,7,9,11,13],[1,4,6,9,11,13,14],[1,4,7,8,11,12,14],[1,5,6,7,10,11,14],[1,5,8,9,10,12,13],[1,6,7,8,9,12,13],[2,3,6,8,12,13,14],[2,3,7,9,11,12,13],[2,4,5,6,9,11,12],[2,4,5,7,8,13,14],[2,5,6,8,10,11,13],[2,5,7,9,10,12,14],[2,6,7,8,9,11,14],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,9,10,13,14],[3,4,7,8,10,11,12],[3,5,8,9,10,11,14],[4,5,6,7,10,12,13]]; G[10084]:=Group([(6,7)(8,9)(11,14)(12,13)]); # Design 10085: autom. group order 2, simple B[10085]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,11,13],[1,2,4,9,10,12,14],[1,3,5,6,8,12,14],[1,3,5,7,9,11,13],[1,4,6,9,11,13,14],[1,4,7,8,11,12,14],[1,5,6,7,10,11,14],[1,5,8,9,10,12,13],[1,6,7,8,9,12,13],[2,3,6,8,12,13,14],[2,3,7,9,11,12,13],[2,4,5,6,9,13,14],[2,4,5,7,8,11,12],[2,5,6,8,10,11,13],[2,5,7,9,10,12,14],[2,6,7,8,9,11,14],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,9,10,11,12],[3,4,7,8,10,13,14],[3,5,8,9,10,11,14],[4,5,6,7,10,12,13]]; G[10085]:=Group([(6,7)(8,9)(11,14)(12,13)]); # Design 10086: autom. group order 2, simple B[10086]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,11,13],[1,2,4,9,10,12,14],[1,3,5,6,8,12,14],[1,3,5,7,9,11,13],[1,4,6,9,11,12,14],[1,4,7,8,11,13,14],[1,5,6,7,10,11,14],[1,5,8,9,10,12,13],[1,6,7,8,9,12,13],[2,3,6,8,11,12,13],[2,3,7,9,12,13,14],[2,4,5,6,8,13,14],[2,4,5,7,9,11,12],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[2,6,7,8,9,11,14],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,9,10,13,14],[3,4,7,8,10,11,12],[3,5,8,9,10,11,14],[4,5,6,7,10,12,13]]; G[10086]:=Group([(6,7)(8,9)(11,14)(12,13)]); # Design 10087: autom. group order 2, simple B[10087]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,11,13],[1,2,4,9,10,12,14],[1,3,5,6,8,12,14],[1,3,5,7,9,11,13],[1,4,6,9,11,12,14],[1,4,7,8,11,13,14],[1,5,6,7,10,11,14],[1,5,8,9,10,12,13],[1,6,7,8,9,12,13],[2,3,6,8,11,12,13],[2,3,7,9,12,13,14],[2,4,5,6,8,13,14],[2,4,5,7,9,11,12],[2,5,6,9,10,13,14],[2,5,7,8,10,11,12],[2,6,7,8,9,11,14],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,9,10,11,13],[3,4,7,8,10,12,14],[3,5,8,9,10,11,14],[4,5,6,7,10,12,13]]; G[10087]:=Group([(6,7)(8,9)(11,14)(12,13)]); # Design 10088: autom. group order 2, simple B[10088]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,11,13],[1,2,4,9,10,12,14],[1,3,5,6,8,12,14],[1,3,5,7,9,11,13],[1,4,6,9,11,13,14],[1,4,7,8,11,12,14],[1,5,6,7,10,11,14],[1,5,8,9,10,12,13],[1,6,7,8,9,12,13],[2,3,6,8,12,13,14],[2,3,7,9,11,12,13],[2,4,5,6,8,11,13],[2,4,5,7,9,12,14],[2,5,6,9,10,11,12],[2,5,7,8,10,13,14],[2,6,7,8,9,11,14],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,9,10,13,14],[3,4,7,8,10,11,12],[3,5,8,9,10,11,14],[4,5,6,7,10,12,13]]; G[10088]:=Group([(6,7)(8,9)(11,14)(12,13)]); # Design 10089: autom. group order 2, simple B[10089]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,11,13],[1,2,4,9,10,12,14],[1,3,5,6,8,13,14],[1,3,5,7,9,11,12],[1,4,6,9,11,13,14],[1,4,7,8,11,12,14],[1,5,6,7,10,11,14],[1,5,8,9,10,12,13],[1,6,7,8,9,12,13],[2,3,6,8,12,13,14],[2,3,7,9,11,12,13],[2,4,5,6,8,11,12],[2,4,5,7,9,13,14],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[2,6,7,8,9,11,14],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,9,10,12,14],[3,4,7,8,10,11,13],[3,5,8,9,10,11,14],[4,5,6,7,10,12,13]]; G[10089]:=Group([(6,7)(8,9)(11,14)(12,13)]); # Design 10090: autom. group order 2, simple B[10090]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,11,13],[1,2,4,9,10,12,14],[1,3,5,6,8,12,14],[1,3,5,7,9,11,13],[1,4,6,9,11,13,14],[1,4,7,8,11,12,14],[1,5,6,7,10,11,14],[1,5,8,9,10,12,13],[1,6,7,8,9,12,13],[2,3,6,8,12,13,14],[2,3,7,9,11,12,13],[2,4,5,6,8,11,13],[2,4,5,7,9,12,14],[2,5,6,9,10,13,14],[2,5,7,8,10,11,12],[2,6,7,8,9,11,14],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,9,10,11,12],[3,4,7,8,10,13,14],[3,5,8,9,10,11,14],[4,5,6,7,10,12,13]]; G[10090]:=Group([(6,7)(8,9)(11,14)(12,13)]); # Design 10091: autom. group order 2, simple B[10091]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,11,13],[1,2,4,9,10,12,14],[1,3,5,6,8,13,14],[1,3,5,7,9,11,12],[1,4,6,9,11,13,14],[1,4,7,8,11,12,14],[1,5,6,7,10,11,14],[1,5,8,9,10,12,13],[1,6,7,8,9,12,13],[2,3,6,8,12,13,14],[2,3,7,9,11,12,13],[2,4,5,6,8,11,12],[2,4,5,7,9,13,14],[2,5,6,9,10,12,14],[2,5,7,8,10,11,13],[2,6,7,8,9,11,14],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,9,10,11,13],[3,4,7,8,10,12,14],[3,5,8,9,10,11,14],[4,5,6,7,10,12,13]]; G[10091]:=Group([(6,7)(8,9)(11,14)(12,13)]); # Design 10092: autom. group order 2, simple B[10092]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,11,13],[1,2,4,9,10,12,14],[1,3,5,6,8,11,13],[1,3,5,7,9,12,14],[1,4,6,8,12,13,14],[1,4,7,9,11,12,13],[1,5,6,7,10,12,13],[1,5,8,9,10,11,14],[1,6,7,8,9,11,14],[2,3,6,9,11,13,14],[2,3,7,8,11,12,14],[2,4,5,6,9,11,12],[2,4,5,7,8,13,14],[2,5,6,8,10,12,14],[2,5,7,9,10,11,13],[2,6,7,8,9,12,13],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,9,10,13,14],[3,4,7,8,10,11,12],[3,5,8,9,10,12,13],[4,5,6,7,10,11,14]]; G[10092]:=Group([(6,7)(8,9)(11,14)(12,13)]); # Design 10093: autom. group order 2, simple B[10093]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,11,13],[1,2,4,9,10,12,14],[1,3,5,6,8,12,14],[1,3,5,7,9,11,13],[1,4,6,8,11,12,13],[1,4,7,9,12,13,14],[1,5,6,7,10,12,13],[1,5,8,9,10,11,14],[1,6,7,8,9,11,14],[2,3,6,9,11,12,14],[2,3,7,8,11,13,14],[2,4,5,6,9,11,13],[2,4,5,7,8,12,14],[2,5,6,8,10,13,14],[2,5,7,9,10,11,12],[2,6,7,8,9,12,13],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,9,10,13,14],[3,4,7,8,10,11,12],[3,5,8,9,10,12,13],[4,5,6,7,10,11,14]]; G[10093]:=Group([(6,7)(8,9)(11,14)(12,13)]); # Design 10094: autom. group order 2, simple B[10094]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,11,13],[1,2,4,9,10,12,14],[1,3,5,6,8,12,14],[1,3,5,7,9,11,13],[1,4,6,8,11,12,13],[1,4,7,9,12,13,14],[1,5,6,7,10,12,13],[1,5,8,9,10,11,14],[1,6,7,8,9,11,14],[2,3,6,9,11,12,14],[2,3,7,8,11,13,14],[2,4,5,6,9,13,14],[2,4,5,7,8,11,12],[2,5,6,8,10,13,14],[2,5,7,9,10,11,12],[2,6,7,8,9,12,13],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,9,10,11,13],[3,4,7,8,10,12,14],[3,5,8,9,10,12,13],[4,5,6,7,10,11,14]]; G[10094]:=Group([(6,7)(8,9)(11,14)(12,13)]); # Design 10095: autom. group order 2, simple B[10095]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,11,13],[1,2,4,9,10,12,14],[1,3,5,6,8,13,14],[1,3,5,7,9,11,12],[1,4,6,8,11,12,13],[1,4,7,9,12,13,14],[1,5,6,7,10,12,13],[1,5,8,9,10,11,14],[1,6,7,8,9,11,14],[2,3,6,9,11,12,14],[2,3,7,8,11,13,14],[2,4,5,6,9,13,14],[2,4,5,7,8,11,12],[2,5,6,8,10,12,14],[2,5,7,9,10,11,13],[2,6,7,8,9,12,13],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,9,10,11,13],[3,4,7,8,10,12,14],[3,5,8,9,10,12,13],[4,5,6,7,10,11,14]]; G[10095]:=Group([(6,7)(8,9)(11,14)(12,13)]); # Design 10096: autom. group order 2, simple B[10096]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,11,13],[1,2,4,9,10,12,14],[1,3,5,6,8,11,13],[1,3,5,7,9,12,14],[1,4,6,8,12,13,14],[1,4,7,9,11,12,13],[1,5,6,7,10,12,13],[1,5,8,9,10,11,14],[1,6,7,8,9,11,14],[2,3,6,9,11,13,14],[2,3,7,8,11,12,14],[2,4,5,6,8,12,14],[2,4,5,7,9,11,13],[2,5,6,9,10,11,12],[2,5,7,8,10,13,14],[2,6,7,8,9,12,13],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,9,10,13,14],[3,4,7,8,10,11,12],[3,5,8,9,10,12,13],[4,5,6,7,10,11,14]]; G[10096]:=Group([(6,7)(8,9)(11,14)(12,13)]); # Design 10097: autom. group order 2, simple B[10097]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,11,13],[1,2,4,9,10,12,14],[1,3,5,6,8,11,12],[1,3,5,7,9,13,14],[1,4,6,8,12,13,14],[1,4,7,9,11,12,13],[1,5,6,7,10,12,13],[1,5,8,9,10,11,14],[1,6,7,8,9,11,14],[2,3,6,9,11,13,14],[2,3,7,8,11,12,14],[2,4,5,6,8,13,14],[2,4,5,7,9,11,12],[2,5,6,9,10,12,14],[2,5,7,8,10,11,13],[2,6,7,8,9,12,13],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,9,10,11,13],[3,4,7,8,10,12,14],[3,5,8,9,10,12,13],[4,5,6,7,10,11,14]]; G[10097]:=Group([(6,7)(8,9)(11,14)(12,13)]); # Design 10098: autom. group order 2, simple B[10098]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,11,13],[1,2,4,9,10,12,14],[1,3,5,6,8,12,14],[1,3,5,7,9,11,13],[1,4,6,8,11,12,13],[1,4,7,9,12,13,14],[1,5,6,7,10,12,13],[1,5,8,9,10,11,14],[1,6,7,8,9,11,14],[2,3,6,9,11,12,14],[2,3,7,8,11,13,14],[2,4,5,6,8,13,14],[2,4,5,7,9,11,12],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[2,6,7,8,9,12,13],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,9,10,13,14],[3,4,7,8,10,11,12],[3,5,8,9,10,12,13],[4,5,6,7,10,11,14]]; G[10098]:=Group([(6,7)(8,9)(11,14)(12,13)]); # Design 10099: autom. group order 2, simple B[10099]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,11,13],[1,2,4,9,10,12,14],[1,3,5,6,8,12,14],[1,3,5,7,9,11,13],[1,4,6,8,11,12,13],[1,4,7,9,12,13,14],[1,5,6,7,10,12,13],[1,5,8,9,10,11,14],[1,6,7,8,9,11,14],[2,3,6,9,11,12,14],[2,3,7,8,11,13,14],[2,4,5,6,8,13,14],[2,4,5,7,9,11,12],[2,5,6,9,10,13,14],[2,5,7,8,10,11,12],[2,6,7,8,9,12,13],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,9,10,11,13],[3,4,7,8,10,12,14],[3,5,8,9,10,12,13],[4,5,6,7,10,11,14]]; G[10099]:=Group([(6,7)(8,9)(11,14)(12,13)]); # Design 10100: autom. group order 2, simple B[10100]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,13,14],[1,2,4,9,10,11,12],[1,3,5,6,8,11,13],[1,3,5,7,9,12,14],[1,4,6,8,11,12,14],[1,4,7,9,11,13,14],[1,5,6,7,10,11,14],[1,5,8,9,10,12,13],[1,6,7,8,9,12,13],[2,3,6,8,12,13,14],[2,3,7,9,11,12,13],[2,4,5,6,9,11,13],[2,4,5,7,8,12,14],[2,5,6,9,10,12,14],[2,5,7,8,10,11,13],[2,6,7,8,9,11,14],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,9,10,13,14],[3,4,7,8,10,11,12],[3,5,8,9,10,11,14],[4,5,6,7,10,12,13]]; G[10100]:=Group([(6,7)(8,9)(11,14)(12,13)]); # Design 10101: autom. group order 2, simple B[10101]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,13,14],[1,2,4,9,10,11,12],[1,3,5,6,8,11,13],[1,3,5,7,9,12,14],[1,4,6,8,11,12,14],[1,4,7,9,11,13,14],[1,5,6,7,10,11,14],[1,5,8,9,10,12,13],[1,6,7,8,9,12,13],[2,3,6,8,12,13,14],[2,3,7,9,11,12,13],[2,4,5,6,9,12,14],[2,4,5,7,8,11,13],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[2,6,7,8,9,11,14],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,9,10,13,14],[3,4,7,8,10,11,12],[3,5,8,9,10,11,14],[4,5,6,7,10,12,13]]; G[10101]:=Group([(6,7)(8,9)(11,14)(12,13)]); # Design 10102: autom. group order 2, simple B[10102]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,13,14],[1,2,4,9,10,11,12],[1,3,5,6,8,11,13],[1,3,5,7,9,12,14],[1,4,6,8,11,12,14],[1,4,7,9,11,13,14],[1,5,6,7,10,11,14],[1,5,8,9,10,12,13],[1,6,7,8,9,12,13],[2,3,6,8,12,13,14],[2,3,7,9,11,12,13],[2,4,5,6,9,13,14],[2,4,5,7,8,11,12],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[2,6,7,8,9,11,14],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,9,10,12,14],[3,4,7,8,10,11,13],[3,5,8,9,10,11,14],[4,5,6,7,10,12,13]]; G[10102]:=Group([(6,7)(8,9)(11,14)(12,13)]); # Design 10103: autom. group order 2, simple B[10103]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,13,14],[1,2,4,9,10,11,12],[1,3,5,6,8,11,13],[1,3,5,7,9,12,14],[1,4,6,8,12,13,14],[1,4,7,9,11,12,13],[1,5,6,7,10,12,13],[1,5,8,9,10,11,14],[1,6,7,8,9,11,14],[2,3,6,8,11,12,14],[2,3,7,9,11,13,14],[2,4,5,6,9,11,13],[2,4,5,7,8,12,14],[2,5,6,9,10,12,14],[2,5,7,8,10,11,13],[2,6,7,8,9,12,13],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,9,10,13,14],[3,4,7,8,10,11,12],[3,5,8,9,10,12,13],[4,5,6,7,10,11,14]]; G[10103]:=Group([(6,7)(8,9)(11,14)(12,13)]); # Design 10104: autom. group order 2, simple B[10104]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,13,14],[1,2,4,9,10,11,12],[1,3,5,6,8,11,13],[1,3,5,7,9,12,14],[1,4,6,8,12,13,14],[1,4,7,9,11,12,13],[1,5,6,7,10,12,13],[1,5,8,9,10,11,14],[1,6,7,8,9,11,14],[2,3,6,8,11,12,14],[2,3,7,9,11,13,14],[2,4,5,6,9,12,14],[2,4,5,7,8,11,13],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[2,6,7,8,9,12,13],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,9,10,13,14],[3,4,7,8,10,11,12],[3,5,8,9,10,12,13],[4,5,6,7,10,11,14]]; G[10104]:=Group([(6,7)(8,9)(11,14)(12,13)]); # Design 10105: autom. group order 2, simple B[10105]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,13,14],[1,2,4,9,10,11,12],[1,3,5,6,8,11,13],[1,3,5,7,9,12,14],[1,4,6,8,12,13,14],[1,4,7,9,11,12,13],[1,5,6,7,10,12,13],[1,5,8,9,10,11,14],[1,6,7,8,9,11,14],[2,3,6,8,11,12,14],[2,3,7,9,11,13,14],[2,4,5,6,9,13,14],[2,4,5,7,8,11,12],[2,5,6,9,10,12,14],[2,5,7,8,10,11,13],[2,6,7,8,9,12,13],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,9,10,11,13],[3,4,7,8,10,12,14],[3,5,8,9,10,12,13],[4,5,6,7,10,11,14]]; G[10105]:=Group([(6,7)(8,9)(11,14)(12,13)]); # Design 10106: autom. group order 2, simple, residual B[10106]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,8,10,12,14],[1,2,4,9,12,13,14],[1,3,5,6,8,12,14],[1,3,5,9,11,12,13],[1,4,6,7,8,9,11],[1,4,7,8,11,13,14],[1,5,6,9,10,13,14],[1,5,7,9,10,11,14],[1,6,7,8,10,12,13],[2,3,6,7,9,13,14],[2,3,7,8,9,10,14],[2,4,5,6,11,13,14],[2,4,5,7,10,12,13],[2,5,6,8,10,11,14],[2,5,7,8,9,11,12],[2,6,8,9,11,12,13],[3,4,5,8,10,11,13],[3,4,6,7,11,12,14],[3,4,6,8,9,10,13],[3,4,9,10,11,12,14],[3,5,7,8,12,13,14],[4,5,6,7,9,10,12]]; G[10106]:=Group([(1,12)(2,14)(5,11)(8,10)]); # Design 10107: autom. group order 2, simple, residual B[10107]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,9,12,13],[1,2,4,10,12,13,14],[1,3,5,6,7,12,14],[1,3,5,8,9,13,14],[1,4,6,9,11,12,14],[1,4,7,8,11,13,14],[1,5,6,9,10,11,13],[1,5,7,8,10,11,12],[1,6,7,8,9,10,14],[2,3,6,7,11,13,14],[2,3,8,9,11,12,14],[2,4,5,6,8,11,14],[2,4,5,7,9,10,11],[2,5,6,9,10,13,14],[2,5,7,8,10,12,14],[2,6,7,8,9,12,13],[3,4,5,10,12,13,14],[3,4,6,7,8,10,13],[3,4,6,8,9,10,12],[3,4,7,9,10,11,14],[3,5,7,9,11,12,13],[4,5,6,8,11,12,13]]; G[10107]:=Group([(6,8)(7,9)(12,13)]); # Design 10108: autom. group order 2, simple, residual B[10108]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,9,12,13],[1,2,4,10,12,13,14],[1,3,5,6,7,12,14],[1,3,5,8,9,13,14],[1,4,6,9,11,13,14],[1,4,7,8,11,12,14],[1,5,6,9,10,11,12],[1,5,7,8,10,11,13],[1,6,7,8,9,10,14],[2,3,6,7,11,13,14],[2,3,8,9,11,12,14],[2,4,5,6,8,11,14],[2,4,5,7,9,10,11],[2,5,6,9,10,13,14],[2,5,7,8,10,12,14],[2,6,7,8,9,12,13],[3,4,5,10,12,13,14],[3,4,6,7,8,10,13],[3,4,6,8,9,10,12],[3,4,7,9,10,11,14],[3,5,7,9,11,12,13],[4,5,6,8,11,12,13]]; G[10108]:=Group([(6,8)(7,9)(12,13)]); # Design 10109: autom. group order 2, simple, residual B[10109]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,9,12,13],[1,2,4,10,12,13,14],[1,3,5,6,7,12,14],[1,3,5,8,9,13,14],[1,4,6,9,11,13,14],[1,4,7,8,11,12,14],[1,5,6,9,10,11,13],[1,5,7,8,10,11,12],[1,6,7,8,9,10,14],[2,3,6,7,11,13,14],[2,3,8,9,11,12,14],[2,4,5,6,8,11,14],[2,4,5,7,9,10,11],[2,5,6,9,10,12,14],[2,5,7,8,10,13,14],[2,6,7,8,9,12,13],[3,4,5,10,12,13,14],[3,4,6,7,8,10,13],[3,4,6,8,9,10,12],[3,4,7,9,10,11,14],[3,5,7,9,11,12,13],[4,5,6,8,11,12,13]]; G[10109]:=Group([(6,8)(7,9)(12,13)]); # Design 10110: autom. group order 2, simple, residual B[10110]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,9,12,13],[1,2,4,10,12,13,14],[1,3,5,6,7,13,14],[1,3,5,8,9,12,14],[1,4,6,9,11,12,14],[1,4,7,8,11,13,14],[1,5,6,9,10,11,13],[1,5,7,8,10,11,12],[1,6,7,8,9,10,14],[2,3,6,7,11,12,14],[2,3,8,9,11,13,14],[2,4,5,6,8,11,14],[2,4,5,7,9,10,11],[2,5,6,9,10,13,14],[2,5,7,8,10,12,14],[2,6,7,8,9,12,13],[3,4,5,10,12,13,14],[3,4,6,7,8,10,13],[3,4,6,8,9,10,12],[3,4,7,9,10,11,14],[3,5,7,9,11,12,13],[4,5,6,8,11,12,13]]; G[10110]:=Group([(6,8)(7,9)(12,13)]); # Design 10111: autom. group order 2, simple, residual B[10111]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,9,12,13],[1,2,4,10,12,13,14],[1,3,5,6,7,13,14],[1,3,5,8,9,12,14],[1,4,6,9,11,13,14],[1,4,7,8,11,12,14],[1,5,6,9,10,11,12],[1,5,7,8,10,11,13],[1,6,7,8,9,10,14],[2,3,6,7,11,12,14],[2,3,8,9,11,13,14],[2,4,5,6,8,11,14],[2,4,5,7,9,10,11],[2,5,6,9,10,13,14],[2,5,7,8,10,12,14],[2,6,7,8,9,12,13],[3,4,5,10,12,13,14],[3,4,6,7,8,10,13],[3,4,6,8,9,10,12],[3,4,7,9,10,11,14],[3,5,7,9,11,12,13],[4,5,6,8,11,12,13]]; G[10111]:=Group([(6,8)(7,9)(12,13)]); # Design 10112: autom. group order 2, simple, residual B[10112]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,9,12,13],[1,2,4,10,12,13,14],[1,3,5,6,7,13,14],[1,3,5,8,9,12,14],[1,4,6,9,11,13,14],[1,4,7,8,11,12,14],[1,5,6,9,10,11,13],[1,5,7,8,10,11,12],[1,6,7,8,9,10,14],[2,3,6,7,11,12,14],[2,3,8,9,11,13,14],[2,4,5,6,8,11,14],[2,4,5,7,9,10,11],[2,5,6,9,10,12,14],[2,5,7,8,10,13,14],[2,6,7,8,9,12,13],[3,4,5,10,12,13,14],[3,4,6,7,8,10,13],[3,4,6,8,9,10,12],[3,4,7,9,10,11,14],[3,5,7,9,11,12,13],[4,5,6,8,11,12,13]]; G[10112]:=Group([(6,8)(7,9)(12,13)]); # Design 10113: autom. group order 2, simple, residual B[10113]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,9,12,13],[1,2,4,10,12,13,14],[1,3,5,6,7,12,14],[1,3,5,8,9,13,14],[1,4,6,9,11,12,14],[1,4,7,8,11,13,14],[1,5,6,9,10,11,13],[1,5,7,8,10,11,12],[1,6,7,8,9,10,14],[2,3,6,9,11,13,14],[2,3,7,8,11,12,14],[2,4,5,6,8,11,14],[2,4,5,7,9,10,11],[2,5,6,7,10,13,14],[2,5,8,9,10,12,14],[2,6,7,8,9,12,13],[3,4,5,10,12,13,14],[3,4,6,7,8,10,13],[3,4,6,8,9,10,12],[3,4,7,9,10,11,14],[3,5,7,9,11,12,13],[4,5,6,8,11,12,13]]; G[10113]:=Group([(6,8)(7,9)(12,13)]); # Design 10114: autom. group order 2, simple, residual B[10114]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,9,12,13],[1,2,4,10,12,13,14],[1,3,5,6,7,12,14],[1,3,5,8,9,13,14],[1,4,6,9,11,13,14],[1,4,7,8,11,12,14],[1,5,6,9,10,11,12],[1,5,7,8,10,11,13],[1,6,7,8,9,10,14],[2,3,6,9,11,13,14],[2,3,7,8,11,12,14],[2,4,5,6,8,11,14],[2,4,5,7,9,10,11],[2,5,6,7,10,13,14],[2,5,8,9,10,12,14],[2,6,7,8,9,12,13],[3,4,5,10,12,13,14],[3,4,6,7,8,10,13],[3,4,6,8,9,10,12],[3,4,7,9,10,11,14],[3,5,7,9,11,12,13],[4,5,6,8,11,12,13]]; G[10114]:=Group([(6,8)(7,9)(12,13)]); # Design 10115: autom. group order 2, simple, residual B[10115]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,9,12,13],[1,2,4,10,12,13,14],[1,3,5,6,7,12,14],[1,3,5,8,9,13,14],[1,4,6,9,11,13,14],[1,4,7,8,11,12,14],[1,5,6,9,10,11,13],[1,5,7,8,10,11,12],[1,6,7,8,9,10,14],[2,3,6,9,11,12,14],[2,3,7,8,11,13,14],[2,4,5,6,8,11,14],[2,4,5,7,9,10,11],[2,5,6,7,10,13,14],[2,5,8,9,10,12,14],[2,6,7,8,9,12,13],[3,4,5,10,12,13,14],[3,4,6,7,8,10,13],[3,4,6,8,9,10,12],[3,4,7,9,10,11,14],[3,5,7,9,11,12,13],[4,5,6,8,11,12,13]]; G[10115]:=Group([(6,8)(7,9)(12,13)]); # Design 10116: autom. group order 2, simple, residual B[10116]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,9,12,13],[1,2,4,10,12,13,14],[1,3,5,6,7,13,14],[1,3,5,8,9,12,14],[1,4,6,9,11,12,14],[1,4,7,8,11,13,14],[1,5,6,9,10,11,13],[1,5,7,8,10,11,12],[1,6,7,8,9,10,14],[2,3,6,9,11,13,14],[2,3,7,8,11,12,14],[2,4,5,6,8,11,14],[2,4,5,7,9,10,11],[2,5,6,7,10,12,14],[2,5,8,9,10,13,14],[2,6,7,8,9,12,13],[3,4,5,10,12,13,14],[3,4,6,7,8,10,13],[3,4,6,8,9,10,12],[3,4,7,9,10,11,14],[3,5,7,9,11,12,13],[4,5,6,8,11,12,13]]; G[10116]:=Group([(6,8)(7,9)(12,13)]); # Design 10117: autom. group order 2, simple, residual B[10117]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,9,12,13],[1,2,4,10,12,13,14],[1,3,5,6,7,13,14],[1,3,5,8,9,12,14],[1,4,6,9,11,13,14],[1,4,7,8,11,12,14],[1,5,6,9,10,11,12],[1,5,7,8,10,11,13],[1,6,7,8,9,10,14],[2,3,6,9,11,13,14],[2,3,7,8,11,12,14],[2,4,5,6,8,11,14],[2,4,5,7,9,10,11],[2,5,6,7,10,12,14],[2,5,8,9,10,13,14],[2,6,7,8,9,12,13],[3,4,5,10,12,13,14],[3,4,6,7,8,10,13],[3,4,6,8,9,10,12],[3,4,7,9,10,11,14],[3,5,7,9,11,12,13],[4,5,6,8,11,12,13]]; G[10117]:=Group([(6,8)(7,9)(12,13)]); # Design 10118: autom. group order 2, simple, residual B[10118]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,9,12,13],[1,2,4,10,12,13,14],[1,3,5,6,7,13,14],[1,3,5,8,9,12,14],[1,4,6,9,11,13,14],[1,4,7,8,11,12,14],[1,5,6,9,10,11,13],[1,5,7,8,10,11,12],[1,6,7,8,9,10,14],[2,3,6,9,11,12,14],[2,3,7,8,11,13,14],[2,4,5,6,8,11,14],[2,4,5,7,9,10,11],[2,5,6,7,10,12,14],[2,5,8,9,10,13,14],[2,6,7,8,9,12,13],[3,4,5,10,12,13,14],[3,4,6,7,8,10,13],[3,4,6,8,9,10,12],[3,4,7,9,10,11,14],[3,5,7,9,11,12,13],[4,5,6,8,11,12,13]]; G[10118]:=Group([(6,8)(7,9)(12,13)]); # Design 10119: autom. group order 2, simple B[10119]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,10,13,14],[1,2,4,9,10,12,14],[1,3,5,6,9,13,14],[1,3,5,7,11,12,13],[1,4,6,7,9,11,12],[1,4,7,8,9,11,13],[1,5,6,8,12,13,14],[1,5,7,8,10,12,14],[1,6,8,9,10,11,14],[2,3,6,7,8,9,14],[2,3,7,8,11,12,14],[2,4,5,6,11,12,14],[2,4,5,8,11,13,14],[2,5,6,9,10,11,13],[2,5,7,9,10,12,13],[2,6,7,8,9,12,13],[3,4,5,8,9,10,12],[3,4,6,7,10,13,14],[3,4,6,8,10,12,13],[3,4,9,11,12,13,14],[3,5,7,9,10,11,14],[4,5,6,7,8,10,11]]; G[10119]:=Group([(3,10)(5,14)(6,12)(7,9)(8,13)]); # Design 10120: autom. group order 2, simple, residual B[10120]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,9,12,13],[1,2,4,10,12,13,14],[1,3,5,6,9,13,14],[1,3,5,7,8,12,14],[1,4,6,7,11,12,14],[1,4,8,9,11,13,14],[1,5,6,7,10,11,13],[1,5,8,9,10,11,12],[1,6,7,8,9,10,14],[2,3,6,9,11,12,14],[2,3,7,8,11,13,14],[2,4,5,6,8,11,14],[2,4,5,7,9,10,11],[2,5,6,9,10,13,14],[2,5,7,8,10,12,14],[2,6,7,8,9,12,13],[3,4,5,10,12,13,14],[3,4,6,7,8,10,13],[3,4,6,8,9,10,12],[3,4,7,9,10,11,14],[3,5,7,9,11,12,13],[4,5,6,8,11,12,13]]; G[10120]:=Group([(6,8)(7,9)(12,13)]); # Design 10121: autom. group order 2, simple, residual B[10121]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,9,12,13],[1,2,4,10,12,13,14],[1,3,5,6,9,13,14],[1,3,5,7,8,12,14],[1,4,6,7,11,12,14],[1,4,8,9,11,13,14],[1,5,6,7,10,11,13],[1,5,8,9,10,11,12],[1,6,7,8,9,10,14],[2,3,6,9,11,13,14],[2,3,7,8,11,12,14],[2,4,5,6,8,11,14],[2,4,5,7,9,10,11],[2,5,6,9,10,12,14],[2,5,7,8,10,13,14],[2,6,7,8,9,12,13],[3,4,5,10,12,13,14],[3,4,6,7,8,10,13],[3,4,6,8,9,10,12],[3,4,7,9,10,11,14],[3,5,7,9,11,12,13],[4,5,6,8,11,12,13]]; G[10121]:=Group([(6,8)(7,9)(12,13)]); # Design 10122: autom. group order 2, simple, residual B[10122]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,9,12,13],[1,2,4,10,12,13,14],[1,3,5,6,9,13,14],[1,3,5,7,8,12,14],[1,4,6,7,11,13,14],[1,4,8,9,11,12,14],[1,5,6,7,10,11,12],[1,5,8,9,10,11,13],[1,6,7,8,9,10,14],[2,3,6,9,11,12,14],[2,3,7,8,11,13,14],[2,4,5,6,8,11,14],[2,4,5,7,9,10,11],[2,5,6,9,10,13,14],[2,5,7,8,10,12,14],[2,6,7,8,9,12,13],[3,4,5,10,12,13,14],[3,4,6,7,8,10,13],[3,4,6,8,9,10,12],[3,4,7,9,10,11,14],[3,5,7,9,11,12,13],[4,5,6,8,11,12,13]]; G[10122]:=Group([(6,8)(7,9)(12,13)]); # Design 10123: autom. group order 2, simple, residual B[10123]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,9,12,13],[1,2,4,10,12,13,14],[1,3,5,6,9,13,14],[1,3,5,7,8,12,14],[1,4,6,7,11,13,14],[1,4,8,9,11,12,14],[1,5,6,7,10,11,12],[1,5,8,9,10,11,13],[1,6,7,8,9,10,14],[2,3,6,9,11,13,14],[2,3,7,8,11,12,14],[2,4,5,6,8,11,14],[2,4,5,7,9,10,11],[2,5,6,9,10,12,14],[2,5,7,8,10,13,14],[2,6,7,8,9,12,13],[3,4,5,10,12,13,14],[3,4,6,7,8,10,13],[3,4,6,8,9,10,12],[3,4,7,9,10,11,14],[3,5,7,9,11,12,13],[4,5,6,8,11,12,13]]; G[10123]:=Group([(6,8)(7,9)(12,13)]); # Design 10124: autom. group order 2, simple, residual B[10124]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,11,12,13],[1,2,4,7,10,12,14],[1,2,4,9,11,12,14],[1,3,5,6,8,12,14],[1,3,5,7,9,13,14],[1,4,6,7,10,13,14],[1,4,8,9,11,13,14],[1,5,6,9,10,12,13],[1,5,7,8,11,12,13],[1,6,7,8,9,10,11],[2,3,6,7,11,13,14],[2,3,8,9,10,13,14],[2,4,5,6,9,10,13],[2,4,5,7,8,11,13],[2,5,6,9,11,12,14],[2,5,7,8,10,12,14],[2,6,7,8,9,12,13],[3,4,5,10,11,12,13],[3,4,6,7,9,11,12],[3,4,6,8,12,13,14],[3,4,7,8,9,10,12],[3,5,7,9,10,11,14],[4,5,6,8,10,11,14]]; G[10124]:=Group([(6,8)(7,9)(10,11)]); # Design 10125: autom. group order 2, simple, residual B[10125]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,11,12,13],[1,2,4,7,10,12,14],[1,2,4,9,11,12,14],[1,3,5,6,8,12,14],[1,3,5,7,9,13,14],[1,4,6,7,10,13,14],[1,4,8,9,11,13,14],[1,5,6,9,10,12,13],[1,5,7,8,11,12,13],[1,6,7,8,9,10,11],[2,3,6,7,11,13,14],[2,3,8,9,10,13,14],[2,4,5,6,9,11,13],[2,4,5,7,8,10,13],[2,5,6,9,10,12,14],[2,5,7,8,11,12,14],[2,6,7,8,9,12,13],[3,4,5,10,11,12,13],[3,4,6,7,9,11,12],[3,4,6,8,12,13,14],[3,4,7,8,9,10,12],[3,5,7,9,10,11,14],[4,5,6,8,10,11,14]]; G[10125]:=Group([(6,8)(7,9)(10,11)]); # Design 10126: autom. group order 2, simple, residual B[10126]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,11,12,13],[1,2,4,7,10,12,14],[1,2,4,9,11,12,14],[1,3,5,6,8,12,14],[1,3,5,7,9,13,14],[1,4,6,7,10,13,14],[1,4,8,9,11,13,14],[1,5,6,9,11,12,13],[1,5,7,8,10,12,13],[1,6,7,8,9,10,11],[2,3,6,7,11,13,14],[2,3,8,9,10,13,14],[2,4,5,6,9,10,13],[2,4,5,7,8,11,13],[2,5,6,9,10,12,14],[2,5,7,8,11,12,14],[2,6,7,8,9,12,13],[3,4,5,10,11,12,13],[3,4,6,7,9,11,12],[3,4,6,8,12,13,14],[3,4,7,8,9,10,12],[3,5,7,9,10,11,14],[4,5,6,8,10,11,14]]; G[10126]:=Group([(6,8)(7,9)(10,11)]); # Design 10127: autom. group order 2, simple, residual B[10127]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,11,12,13],[1,2,4,7,10,12,14],[1,2,4,9,11,12,14],[1,3,5,6,8,12,14],[1,3,5,7,9,13,14],[1,4,6,7,11,13,14],[1,4,8,9,10,13,14],[1,5,6,9,10,12,13],[1,5,7,8,11,12,13],[1,6,7,8,9,10,11],[2,3,6,7,10,13,14],[2,3,8,9,11,13,14],[2,4,5,6,9,11,13],[2,4,5,7,8,10,13],[2,5,6,9,10,12,14],[2,5,7,8,11,12,14],[2,6,7,8,9,12,13],[3,4,5,10,11,12,13],[3,4,6,7,9,11,12],[3,4,6,8,12,13,14],[3,4,7,8,9,10,12],[3,5,7,9,10,11,14],[4,5,6,8,10,11,14]]; G[10127]:=Group([(6,8)(7,9)(10,11)]); # Design 10128: autom. group order 2, simple, residual B[10128]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,11,12,13],[1,2,4,7,10,12,14],[1,2,4,9,11,12,14],[1,3,5,6,8,12,14],[1,3,5,7,9,13,14],[1,4,6,7,11,13,14],[1,4,8,9,10,13,14],[1,5,6,9,11,12,13],[1,5,7,8,10,12,13],[1,6,7,8,9,10,11],[2,3,6,7,10,13,14],[2,3,8,9,11,13,14],[2,4,5,6,9,10,13],[2,4,5,7,8,11,13],[2,5,6,9,10,12,14],[2,5,7,8,11,12,14],[2,6,7,8,9,12,13],[3,4,5,10,11,12,13],[3,4,6,7,9,11,12],[3,4,6,8,12,13,14],[3,4,7,8,9,10,12],[3,5,7,9,10,11,14],[4,5,6,8,10,11,14]]; G[10128]:=Group([(6,8)(7,9)(10,11)]); # Design 10129: autom. group order 2, simple, residual B[10129]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,9,12,13],[1,2,4,10,12,13,14],[1,3,5,6,9,12,14],[1,3,5,7,8,13,14],[1,4,6,7,11,12,14],[1,4,8,9,11,13,14],[1,5,6,9,10,11,13],[1,5,7,8,10,11,12],[1,6,7,8,9,10,14],[2,3,6,9,11,13,14],[2,3,7,8,11,12,14],[2,4,5,6,8,11,14],[2,4,5,7,9,10,11],[2,5,6,7,10,13,14],[2,5,8,9,10,12,14],[2,6,7,8,9,12,13],[3,4,5,10,12,13,14],[3,4,6,7,8,10,13],[3,4,6,8,9,10,12],[3,4,7,9,10,11,14],[3,5,7,9,11,12,13],[4,5,6,8,11,12,13]]; G[10129]:=Group([(6,8)(7,9)(12,13)]); # Design 10130: autom. group order 2, simple, residual B[10130]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,9,12,13],[1,2,4,10,12,13,14],[1,3,5,6,9,12,14],[1,3,5,7,8,13,14],[1,4,6,7,11,13,14],[1,4,8,9,11,12,14],[1,5,6,9,10,11,13],[1,5,7,8,10,11,12],[1,6,7,8,9,10,14],[2,3,6,9,11,13,14],[2,3,7,8,11,12,14],[2,4,5,6,8,11,14],[2,4,5,7,9,10,11],[2,5,6,7,10,12,14],[2,5,8,9,10,13,14],[2,6,7,8,9,12,13],[3,4,5,10,12,13,14],[3,4,6,7,8,10,13],[3,4,6,8,9,10,12],[3,4,7,9,10,11,14],[3,5,7,9,11,12,13],[4,5,6,8,11,12,13]]; G[10130]:=Group([(6,8)(7,9)(12,13)]); # Design 10131: autom. group order 2, simple, residual B[10131]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,9,12,13],[1,2,4,10,12,13,14],[1,3,5,6,9,13,14],[1,3,5,7,8,12,14],[1,4,6,7,11,12,14],[1,4,8,9,11,13,14],[1,5,6,9,10,11,13],[1,5,7,8,10,11,12],[1,6,7,8,9,10,14],[2,3,6,9,11,12,14],[2,3,7,8,11,13,14],[2,4,5,6,8,11,14],[2,4,5,7,9,10,11],[2,5,6,7,10,13,14],[2,5,8,9,10,12,14],[2,6,7,8,9,12,13],[3,4,5,10,12,13,14],[3,4,6,7,8,10,13],[3,4,6,8,9,10,12],[3,4,7,9,10,11,14],[3,5,7,9,11,12,13],[4,5,6,8,11,12,13]]; G[10131]:=Group([(6,8)(7,9)(12,13)]); # Design 10132: autom. group order 2, simple, residual B[10132]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,9,12,13],[1,2,4,10,12,13,14],[1,3,5,6,9,13,14],[1,3,5,7,8,12,14],[1,4,6,7,11,13,14],[1,4,8,9,11,12,14],[1,5,6,9,10,11,12],[1,5,7,8,10,11,13],[1,6,7,8,9,10,14],[2,3,6,9,11,13,14],[2,3,7,8,11,12,14],[2,4,5,6,8,11,14],[2,4,5,7,9,10,11],[2,5,6,7,10,12,14],[2,5,8,9,10,13,14],[2,6,7,8,9,12,13],[3,4,5,10,12,13,14],[3,4,6,7,8,10,13],[3,4,6,8,9,10,12],[3,4,7,9,10,11,14],[3,5,7,9,11,12,13],[4,5,6,8,11,12,13]]; G[10132]:=Group([(6,8)(7,9)(12,13)]); # Design 10133: autom. group order 2, simple, residual B[10133]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,9,12,13],[1,2,4,10,12,13,14],[1,3,5,6,9,13,14],[1,3,5,7,8,12,14],[1,4,6,7,11,13,14],[1,4,8,9,11,12,14],[1,5,6,9,10,11,13],[1,5,7,8,10,11,12],[1,6,7,8,9,10,14],[2,3,6,9,11,12,14],[2,3,7,8,11,13,14],[2,4,5,6,8,11,14],[2,4,5,7,9,10,11],[2,5,6,7,10,12,14],[2,5,8,9,10,13,14],[2,6,7,8,9,12,13],[3,4,5,10,12,13,14],[3,4,6,7,8,10,13],[3,4,6,8,9,10,12],[3,4,7,9,10,11,14],[3,5,7,9,11,12,13],[4,5,6,8,11,12,13]]; G[10133]:=Group([(6,8)(7,9)(12,13)]); # Design 10134: autom. group order 2, simple B[10134]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,7,10,11,13],[1,2,4,9,11,12,14],[1,3,5,6,11,12,13],[1,3,5,7,9,13,14],[1,4,6,8,9,11,13],[1,4,7,8,12,13,14],[1,5,6,7,9,10,14],[1,5,8,10,11,12,14],[1,6,7,8,9,10,12],[2,3,6,9,12,13,14],[2,3,7,8,9,10,12],[2,4,5,6,8,12,14],[2,4,5,7,10,12,13],[2,5,6,7,8,11,14],[2,5,9,10,11,13,14],[2,6,7,8,9,11,13],[3,4,5,8,9,10,11],[3,4,6,7,10,11,14],[3,4,6,8,10,13,14],[3,4,7,9,11,12,14],[3,5,7,8,11,12,13],[4,5,6,9,10,12,13]]; G[10134]:=Group([(1,2)(3,4)(6,7)(8,9)(10,11)(12,13)]); # Design 10135: autom. group order 2, simple, residual B[10135]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,12],[1,2,4,7,10,13,14],[1,2,4,9,10,13,14],[1,3,5,6,8,13,14],[1,3,5,7,9,11,13],[1,4,6,9,11,12,14],[1,4,7,8,11,12,13],[1,5,6,7,10,11,14],[1,5,8,9,10,12,13],[1,6,7,8,9,12,14],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,5,6,8,12,14],[2,4,5,7,9,11,12],[2,5,6,7,10,12,13],[2,5,8,9,10,11,14],[2,6,7,8,9,11,13],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,9,10,12,13],[3,4,7,8,10,11,14],[3,5,7,9,10,12,14],[4,5,6,8,10,11,13]]; G[10135]:=Group([(1,2)(3,4)(6,9)(7,8)(11,14)(12,13)]); # Design 10136: autom. group order 2, simple, residual B[10136]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,12],[1,2,4,7,10,13,14],[1,2,4,9,10,13,14],[1,3,5,6,8,13,14],[1,3,5,7,9,11,13],[1,4,6,9,11,12,13],[1,4,7,8,11,12,14],[1,5,6,7,10,11,14],[1,5,8,9,10,12,13],[1,6,7,8,9,12,14],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,5,6,8,12,14],[2,4,5,7,9,11,12],[2,5,6,7,10,12,13],[2,5,8,9,10,11,14],[2,6,7,8,9,11,13],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,9,10,11,14],[3,4,7,8,10,12,13],[3,5,7,9,10,12,14],[4,5,6,8,10,11,13]]; G[10136]:=Group([(1,2)(3,4)(6,9)(7,8)(11,14)(12,13)]); # Design 10137: autom. group order 2, simple B[10137]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,10,13,14],[1,2,4,9,10,12,14],[1,3,5,6,7,13,14],[1,3,5,9,11,12,13],[1,4,6,7,9,11,12],[1,4,7,8,9,11,13],[1,5,6,8,12,13,14],[1,5,8,9,10,12,14],[1,6,7,8,10,11,14],[2,3,7,8,11,12,14],[2,3,7,9,12,13,14],[2,4,5,6,11,12,14],[2,4,5,8,11,13,14],[2,5,6,7,8,9,10],[2,5,6,9,10,11,13],[2,6,7,8,9,12,13],[3,4,5,7,8,10,12],[3,4,6,8,9,11,14],[3,4,6,8,10,12,13],[3,4,6,9,10,13,14],[3,5,7,9,10,11,14],[4,5,7,10,11,12,13]]; G[10137]:=Group([(3,10)(5,14)(6,12)(7,9)(8,13)]); # Design 10138: autom. group order 2, simple B[10138]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,7,9,10,11],[1,2,3,8,9,10,12],[1,2,4,9,11,13,14],[1,2,4,9,12,13,14],[1,3,5,7,12,13,14],[1,3,6,10,11,12,13],[1,4,5,7,10,11,13],[1,4,6,8,10,12,14],[1,5,6,8,9,11,13],[1,5,7,8,9,10,14],[1,6,7,8,11,12,14],[2,3,5,10,11,12,14],[2,3,6,8,11,13,14],[2,4,5,8,10,12,13],[2,4,6,7,10,11,14],[2,5,6,7,9,12,14],[2,5,7,8,11,12,13],[2,6,7,8,9,10,13],[3,4,5,8,9,11,14],[3,4,6,7,9,12,13],[3,4,7,8,9,11,12],[3,4,7,8,10,13,14],[3,5,6,9,10,13,14],[4,5,6,9,10,11,12]]; G[10138]:=Group([(3,9)(5,13)(6,14)(7,11)(8,12)]); # Design 10139: autom. group order 2, simple, residual B[10139]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,7,9,10,11],[1,2,3,8,9,10,12],[1,2,4,9,11,13,14],[1,2,4,9,12,13,14],[1,3,5,7,12,13,14],[1,3,6,10,11,12,13],[1,4,5,7,10,11,13],[1,4,6,8,10,12,14],[1,5,6,8,9,11,14],[1,5,7,8,11,12,14],[1,6,7,8,9,10,13],[2,3,5,10,11,12,14],[2,3,6,8,11,13,14],[2,4,5,8,10,12,13],[2,4,6,7,10,11,14],[2,5,6,7,9,12,13],[2,5,7,8,9,10,14],[2,6,7,8,11,12,13],[3,4,5,8,9,11,13],[3,4,6,7,9,12,14],[3,4,7,8,9,11,12],[3,4,7,8,10,13,14],[3,5,6,9,10,13,14],[4,5,6,9,10,11,12]]; G[10139]:=Group([(1,2)(3,9)(5,13)(6,14)(7,12)(8,11)]); # Design 10140: autom. group order 2, simple B[10140]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,7,9,10,11],[1,2,3,8,9,12,13],[1,2,4,10,11,12,14],[1,2,4,10,12,13,14],[1,3,5,7,12,13,14],[1,3,6,9,10,11,13],[1,4,5,7,9,11,14],[1,4,6,8,9,13,14],[1,5,6,8,10,11,12],[1,5,7,8,11,12,13],[1,6,7,8,9,10,14],[2,3,5,9,11,13,14],[2,3,6,8,11,12,14],[2,4,5,8,9,10,13],[2,4,6,7,9,11,12],[2,5,6,7,10,13,14],[2,5,7,8,9,10,12],[2,6,7,8,11,13,14],[3,4,5,8,10,11,14],[3,4,6,7,10,12,13],[3,4,7,8,9,12,14],[3,4,7,8,10,11,13],[3,5,6,9,10,12,14],[4,5,6,9,11,12,13]]; G[10140]:=Group([(2,4)(3,14)(5,12)(6,10)(7,13)(8,11)]); # Design 10141: autom. group order 2, simple, residual B[10141]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,7,9,10,11],[1,2,3,8,9,10,12],[1,2,4,9,11,13,14],[1,2,4,9,12,13,14],[1,3,5,7,12,13,14],[1,3,6,10,11,12,13],[1,4,5,8,10,11,14],[1,4,6,7,10,12,13],[1,5,6,8,9,11,13],[1,5,7,8,9,10,14],[1,6,7,8,11,12,14],[2,3,5,10,11,12,14],[2,3,6,8,11,13,14],[2,4,5,8,10,12,13],[2,4,6,7,10,11,14],[2,5,6,7,9,12,14],[2,5,7,8,11,12,13],[2,6,7,8,9,10,13],[3,4,5,7,9,11,13],[3,4,6,8,9,12,14],[3,4,7,8,9,11,12],[3,4,7,8,10,13,14],[3,5,6,9,10,13,14],[4,5,6,9,10,11,12]]; G[10141]:=Group([(3,9)(5,13)(6,14)(7,11)(8,12)]); # Design 10142: autom. group order 2, simple, residual B[10142]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,7,9,10,11],[1,2,3,9,10,11,12],[1,2,4,7,12,13,14],[1,2,4,9,12,13,14],[1,3,5,7,10,13,14],[1,3,6,8,10,12,13],[1,4,5,8,9,11,12],[1,4,6,8,9,10,14],[1,5,6,10,11,13,14],[1,5,7,8,9,11,14],[1,6,7,8,11,12,13],[2,3,5,8,9,13,14],[2,3,6,8,11,12,14],[2,4,5,8,10,11,13],[2,4,7,8,10,11,13],[2,5,6,7,11,12,14],[2,5,6,9,10,12,13],[2,6,7,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,7,9,11,13],[3,4,6,9,11,13,14],[3,4,7,8,10,12,14],[3,5,7,8,9,12,13],[4,5,6,7,9,10,12]]; G[10142]:=Group([(1,13)(2,4)(3,11)(5,8)(6,10)(12,14)]); # Design 10143: autom. group order 2, simple, residual B[10143]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,7,9,10,11],[1,2,3,9,10,11,12],[1,2,4,7,12,13,14],[1,2,4,9,12,13,14],[1,3,5,7,10,13,14],[1,3,6,8,10,13,14],[1,4,5,8,9,11,13],[1,4,6,8,9,10,12],[1,5,6,10,11,12,14],[1,5,7,8,9,11,13],[1,6,7,8,11,12,14],[2,3,5,8,9,12,14],[2,3,6,8,11,12,13],[2,4,5,8,10,11,14],[2,4,7,8,10,11,14],[2,5,6,7,11,12,13],[2,5,6,9,10,13,14],[2,6,7,8,9,10,13],[3,4,5,10,11,12,13],[3,4,6,7,9,11,14],[3,4,6,9,11,13,14],[3,4,7,8,10,12,13],[3,5,7,8,9,12,14],[4,5,6,7,9,10,12]]; G[10143]:=Group([(1,14)(2,4)(3,11)(5,8)(6,10)(12,13)]); # Design 10144: autom. group order 2, simple, residual B[10144]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,7,9,10,11],[1,2,3,9,10,11,12],[1,2,4,7,12,13,14],[1,2,4,9,12,13,14],[1,3,5,7,10,13,14],[1,3,6,8,10,13,14],[1,4,5,8,9,11,13],[1,4,6,8,9,10,12],[1,5,6,10,11,12,14],[1,5,7,8,11,12,13],[1,6,7,8,9,11,14],[2,3,5,8,9,12,14],[2,3,6,8,11,12,13],[2,4,5,8,10,11,14],[2,4,7,8,10,11,14],[2,5,6,7,9,11,13],[2,5,6,9,10,13,14],[2,6,7,8,10,12,13],[3,4,5,10,11,12,13],[3,4,6,7,11,12,14],[3,4,6,9,11,13,14],[3,4,7,8,9,10,13],[3,5,7,8,9,12,14],[4,5,6,7,9,10,12]]; G[10144]:=Group([(1,4)(3,14)(5,12)(6,13)(8,9)(10,11)]); # Design 10145: autom. group order 2, simple, residual B[10145]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,7,9,10,11],[1,2,3,9,10,12,13],[1,2,4,7,11,12,14],[1,2,4,8,12,13,14],[1,3,5,7,9,13,14],[1,3,6,8,9,11,14],[1,4,5,8,10,11,13],[1,4,6,9,11,12,13],[1,5,6,9,10,12,14],[1,5,7,8,10,11,13],[1,6,7,8,10,12,14],[2,3,5,11,12,13,14],[2,3,6,8,10,11,12],[2,4,5,9,10,11,14],[2,4,7,8,9,10,14],[2,5,6,7,10,12,13],[2,5,6,8,9,13,14],[2,6,7,8,9,11,13],[3,4,5,8,9,10,12],[3,4,6,7,10,13,14],[3,4,6,10,11,13,14],[3,4,7,8,9,12,13],[3,5,7,8,11,12,14],[4,5,6,7,9,11,12]]; G[10145]:=Group([(1,10)(2,14)(3,6)(5,13)(8,11)(9,12)]); # Design 10146: autom. group order 2, simple, residual B[10146]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,7,9,10,11],[1,2,3,8,9,12,13],[1,2,4,7,10,12,13],[1,2,4,9,11,12,14],[1,3,5,7,11,13,14],[1,3,6,10,11,12,14],[1,4,5,8,9,10,14],[1,4,6,9,10,13,14],[1,5,6,8,10,12,13],[1,5,7,8,11,13,14],[1,6,7,8,9,11,12],[2,3,5,9,10,13,14],[2,3,6,8,10,11,14],[2,4,5,8,11,12,14],[2,4,7,8,10,11,13],[2,5,6,7,9,12,14],[2,5,6,10,11,12,13],[2,6,7,8,9,13,14],[3,4,5,9,11,12,13],[3,4,6,7,12,13,14],[3,4,6,8,9,11,13],[3,4,7,8,10,12,14],[3,5,7,8,9,10,12],[4,5,6,7,9,10,11]]; G[10146]:=Group([(2,11)(3,7)(4,14)(6,13)]); # Design 10147: autom. group order 2, simple, residual B[10147]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,7,9,10,11],[1,2,3,8,9,10,12],[1,2,4,7,12,13,14],[1,2,4,11,12,13,14],[1,3,5,7,9,13,14],[1,3,6,9,11,13,14],[1,4,5,8,10,11,13],[1,4,6,8,9,11,12],[1,5,6,9,10,12,14],[1,5,7,8,10,12,13],[1,6,7,8,10,11,14],[2,3,5,8,11,12,14],[2,3,6,10,11,12,13],[2,4,5,9,10,11,14],[2,4,7,8,9,10,14],[2,5,6,7,10,11,13],[2,5,6,8,9,13,14],[2,6,7,8,9,12,13],[3,4,5,9,10,12,13],[3,4,6,7,10,12,14],[3,4,6,8,10,13,14],[3,4,7,8,9,11,13],[3,5,7,8,11,12,14],[4,5,6,7,9,11,12]]; G[10147]:=Group([(1,4)(3,14)(5,12)(6,13)(8,11)(9,10)]); # Design 10148: autom. group order 2, simple, residual B[10148]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,7,9,10,11],[1,2,3,8,9,12,13],[1,2,4,7,9,12,14],[1,2,4,10,12,13,14],[1,3,5,7,10,13,14],[1,3,6,8,11,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,11,13],[1,5,6,9,12,13,14],[1,5,7,8,10,11,12],[1,6,7,8,9,11,14],[2,3,5,10,11,13,14],[2,3,6,9,10,11,12],[2,4,5,8,9,11,13],[2,4,7,8,11,13,14],[2,5,6,7,11,12,14],[2,5,6,8,9,10,14],[2,6,7,8,10,12,13],[3,4,5,9,11,12,14],[3,4,6,7,11,12,13],[3,4,6,8,10,12,14],[3,4,7,8,9,10,14],[3,5,7,8,9,12,13],[4,5,6,7,9,10,13]]; G[10148]:=Group([(2,11)(3,10)(4,8)(6,12)]); # Design 10149: autom. group order 2, simple, residual B[10149]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,7,9,10,11],[1,2,3,8,9,10,12],[1,2,4,7,12,13,14],[1,2,4,9,12,13,14],[1,3,5,7,11,13,14],[1,3,6,8,11,13,14],[1,4,5,8,9,11,12],[1,4,6,9,10,11,13],[1,5,6,10,11,12,14],[1,5,7,8,9,10,13],[1,6,7,8,10,12,14],[2,3,5,10,11,12,13],[2,3,6,9,11,12,14],[2,4,5,8,10,11,14],[2,4,7,8,10,11,14],[2,5,6,7,10,12,13],[2,5,6,8,9,13,14],[2,6,7,8,9,11,13],[3,4,5,9,10,13,14],[3,4,6,7,9,10,14],[3,4,6,8,10,12,13],[3,4,7,8,11,12,13],[3,5,7,8,9,12,14],[4,5,6,7,9,11,12]]; G[10149]:=Group([(1,14)(2,4)(3,10)(5,8)(6,11)(12,13)]); # Design 10150: autom. group order 2, simple, residual B[10150]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,7,9,10,11],[1,2,3,8,12,13,14],[1,2,4,7,9,12,13],[1,2,4,9,10,12,14],[1,3,5,7,10,13,14],[1,3,6,8,9,11,14],[1,4,5,8,10,11,12],[1,4,6,10,11,13,14],[1,5,6,9,12,13,14],[1,5,7,8,10,11,12],[1,6,7,8,9,11,13],[2,3,5,10,11,13,14],[2,3,6,9,10,11,12],[2,4,5,8,9,11,14],[2,4,7,8,11,13,14],[2,5,6,7,11,12,13],[2,5,6,8,9,10,13],[2,6,7,8,10,12,14],[3,4,5,9,11,12,13],[3,4,6,7,11,12,14],[3,4,6,8,10,12,13],[3,4,7,8,9,10,13],[3,5,7,8,9,12,14],[4,5,6,7,9,10,14]]; G[10150]:=Group([(2,11)(3,10)(4,8)(6,12)]); # Design 10151: autom. group order 2, simple, residual B[10151]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,7,9,10,11],[1,2,3,9,10,12,13],[1,2,4,7,9,12,14],[1,2,4,8,10,13,14],[1,3,5,10,12,13,14],[1,3,6,7,11,13,14],[1,4,5,8,9,11,13],[1,4,6,11,12,13,14],[1,5,6,8,9,10,12],[1,5,7,8,10,11,14],[1,6,7,8,9,11,12],[2,3,5,8,11,12,14],[2,3,6,8,11,12,13],[2,4,5,9,11,12,14],[2,4,7,8,10,11,13],[2,5,6,7,9,13,14],[2,5,6,9,10,11,13],[2,6,7,8,10,12,14],[3,4,5,7,10,11,12],[3,4,6,8,9,10,14],[3,4,6,9,10,11,14],[3,4,7,8,9,12,13],[3,5,7,8,9,13,14],[4,5,6,7,10,12,13]]; G[10151]:=Group([(1,10)(2,9)(4,6)(5,14)(7,11)(12,13)]); # Design 10152: autom. group order 2, simple, residual B[10152]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,7,9,10,11],[1,2,3,9,10,12,13],[1,2,4,7,9,12,14],[1,2,4,8,11,13,14],[1,3,5,10,11,12,14],[1,3,6,7,11,13,14],[1,4,5,8,10,12,13],[1,4,6,9,12,13,14],[1,5,6,8,9,10,11],[1,5,7,8,11,12,14],[1,6,7,8,9,10,13],[2,3,5,8,9,13,14],[2,3,6,8,10,12,14],[2,4,5,9,10,11,14],[2,4,7,8,10,11,13],[2,5,6,7,11,12,13],[2,5,6,9,11,12,13],[2,6,7,8,10,12,14],[3,4,5,7,10,12,13],[3,4,6,8,9,11,12],[3,4,6,10,11,13,14],[3,4,7,8,9,11,12],[3,5,7,8,9,13,14],[4,5,6,7,9,10,14]]; G[10152]:=Group([(1,10)(2,6)(3,8)(4,14)(5,12)(11,13)]); # Design 10153: autom. group order 2, simple, residual B[10153]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,7,9,10,11],[1,2,3,9,10,12,13],[1,2,4,7,11,12,14],[1,2,4,8,9,13,14],[1,3,5,10,11,13,14],[1,3,6,7,12,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,12,14],[1,5,6,8,9,11,13],[1,5,7,8,10,12,13],[1,6,7,8,9,11,14],[2,3,5,8,9,12,14],[2,3,6,8,10,11,12],[2,4,5,11,12,13,14],[2,4,7,8,9,10,13],[2,5,6,7,10,13,14],[2,5,6,9,10,11,14],[2,6,7,8,11,12,13],[3,4,5,7,9,11,13],[3,4,6,8,10,13,14],[3,4,6,9,11,12,13],[3,4,7,8,10,11,14],[3,5,7,8,9,12,14],[4,5,6,7,9,10,12]]; G[10153]:=Group([(1,14)(2,8)(4,9)(6,12)]); # Design 10154: autom. group order 2, simple, residual B[10154]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,7,9,10,11],[1,2,3,9,10,12,13],[1,2,4,8,9,12,14],[1,2,4,10,11,13,14],[1,3,5,9,12,13,14],[1,3,6,7,11,12,14],[1,4,5,8,10,11,12],[1,4,6,7,12,13,14],[1,5,6,8,9,10,13],[1,5,7,8,9,11,14],[1,6,7,8,10,11,13],[2,3,5,8,11,13,14],[2,3,6,8,11,12,13],[2,4,5,7,10,13,14],[2,4,7,8,9,11,12],[2,5,6,7,9,10,12],[2,5,6,10,11,12,14],[2,6,7,8,9,13,14],[3,4,5,7,9,11,13],[3,4,6,8,9,10,14],[3,4,6,9,10,11,14],[3,4,7,8,10,12,13],[3,5,7,8,10,12,14],[4,5,6,9,11,12,13]]; G[10154]:=Group([(1,9)(2,10)(4,6)(5,14)(7,11)(12,13)]); # Design 10155: autom. group order 2, simple, residual B[10155]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,7,9,10,11],[1,2,3,9,10,11,12],[1,2,4,8,9,13,14],[1,2,4,10,12,13,14],[1,3,5,11,12,13,14],[1,3,6,7,9,13,14],[1,4,5,8,9,11,12],[1,4,6,7,10,12,13],[1,5,6,8,10,11,14],[1,5,7,8,9,12,13],[1,6,7,8,10,11,14],[2,3,5,8,10,13,14],[2,3,6,8,11,12,13],[2,4,5,7,10,11,13],[2,4,7,8,9,11,14],[2,5,6,7,9,12,14],[2,5,6,9,10,12,14],[2,6,7,8,11,12,13],[3,4,5,7,11,12,14],[3,4,6,8,9,10,12],[3,4,6,9,11,13,14],[3,4,7,8,10,12,14],[3,5,7,8,9,10,13],[4,5,6,9,10,11,13]]; G[10155]:=Group([(1,11)(2,6)(3,8)(4,13)(5,12)(9,14)]); # Design 10156: autom. group order 2, simple, residual B[10156]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,7,9,10,11],[1,2,3,9,10,12,13],[1,2,4,8,9,11,12],[1,2,4,10,11,13,14],[1,3,5,8,9,13,14],[1,3,6,11,12,13,14],[1,4,5,7,10,12,13],[1,4,6,8,10,12,14],[1,5,6,7,9,11,12],[1,5,7,8,9,13,14],[1,6,7,8,10,11,14],[2,3,5,8,10,12,14],[2,3,6,7,12,13,14],[2,4,5,7,11,13,14],[2,4,7,8,9,12,14],[2,5,6,8,10,11,13],[2,5,6,9,11,12,14],[2,6,7,8,9,10,13],[3,4,5,9,10,11,14],[3,4,6,7,9,10,14],[3,4,6,8,9,11,13],[3,4,7,8,11,12,13],[3,5,7,8,10,11,12],[4,5,6,9,10,12,13]]; G[10156]:=Group([(2,14)(3,8)(4,13)(6,9)]); # Design 10157: autom. group order 2, simple B[10157]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,9,10,11,12],[1,2,3,9,10,11,13],[1,2,4,7,9,12,14],[1,2,4,8,10,13,14],[1,3,5,7,11,12,14],[1,3,6,8,11,13,14],[1,4,5,7,10,11,13],[1,4,6,9,12,13,14],[1,5,6,8,9,10,12],[1,5,7,8,10,12,13],[1,6,7,8,9,11,14],[2,3,5,8,9,13,14],[2,3,6,7,10,12,14],[2,4,5,8,9,11,12],[2,4,7,8,10,11,14],[2,5,6,7,9,11,13],[2,5,6,10,12,13,14],[2,6,7,8,11,12,13],[3,4,5,11,12,13,14],[3,4,6,7,9,10,13],[3,4,6,8,10,11,12],[3,4,7,8,9,12,13],[3,5,7,8,9,10,14],[4,5,6,9,10,11,14]]; G[10157]:=Group([(2,3)(4,11)(5,10)(6,9)(7,13)(8,12)]); # Design 10158: autom. group order 2, simple, residual B[10158]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,9,10,11,12],[1,2,3,9,10,11,13],[1,2,4,7,9,12,14],[1,2,4,8,10,13,14],[1,3,5,7,10,12,14],[1,3,6,8,9,13,14],[1,4,5,7,10,11,13],[1,4,6,8,9,11,12],[1,5,6,11,12,13,14],[1,5,7,8,9,11,14],[1,6,7,8,10,12,13],[2,3,5,8,11,13,14],[2,3,6,7,11,12,14],[2,4,5,9,12,13,14],[2,4,7,8,11,12,13],[2,5,6,7,9,10,13],[2,5,6,8,9,10,12],[2,6,7,8,10,11,14],[3,4,5,8,10,11,12],[3,4,6,7,9,11,13],[3,4,6,10,12,13,14],[3,4,7,8,9,10,14],[3,5,7,8,9,12,13],[4,5,6,9,10,11,14]]; G[10158]:=Group([(1,3)(4,11)(5,10)(6,9)(7,12)(8,13)]); # Design 10159: autom. group order 2, simple B[10159]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,9,10,11,12],[1,2,3,9,10,11,13],[1,2,4,7,9,12,14],[1,2,4,8,9,13,14],[1,3,5,7,10,12,14],[1,3,6,8,11,13,14],[1,4,5,11,12,13,14],[1,4,6,7,10,11,13],[1,5,6,8,9,11,12],[1,5,7,8,10,12,13],[1,6,7,8,9,10,14],[2,3,5,8,10,13,14],[2,3,6,7,11,12,14],[2,4,5,8,10,11,12],[2,4,7,8,10,11,14],[2,5,6,7,9,10,13],[2,5,6,9,12,13,14],[2,6,7,8,11,12,13],[3,4,5,7,9,11,13],[3,4,6,8,9,10,12],[3,4,6,10,12,13,14],[3,4,7,8,9,12,13],[3,5,7,8,9,11,14],[4,5,6,9,10,11,14]]; G[10159]:=Group([(4,9)(5,10)(6,11)(7,12)(8,13)]); # Design 10160: autom. group order 2, simple, residual B[10160]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,9,10,11,12],[1,2,3,9,10,11,13],[1,2,4,7,9,12,14],[1,2,4,8,10,13,14],[1,3,5,7,10,12,14],[1,3,6,8,9,13,14],[1,4,5,11,12,13,14],[1,4,6,7,9,11,13],[1,5,6,8,10,11,12],[1,5,7,8,9,11,14],[1,6,7,8,10,12,13],[2,3,5,8,11,13,14],[2,3,6,7,11,12,14],[2,4,5,8,9,10,12],[2,4,7,8,11,12,13],[2,5,6,7,10,11,13],[2,5,6,9,12,13,14],[2,6,7,8,9,10,14],[3,4,5,7,9,10,13],[3,4,6,8,9,11,12],[3,4,6,10,12,13,14],[3,4,7,8,10,11,14],[3,5,7,8,9,12,13],[4,5,6,9,10,11,14]]; G[10160]:=Group([(1,3)(4,11)(5,10)(6,9)(7,12)(8,13)]); # Design 10161: autom. group order 2, simple, residual B[10161]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,9,10,11,12],[1,2,3,9,10,11,13],[1,2,4,7,9,12,14],[1,2,4,8,10,13,14],[1,3,5,7,10,12,14],[1,3,6,8,9,13,14],[1,4,5,8,10,11,12],[1,4,6,7,9,11,13],[1,5,6,11,12,13,14],[1,5,7,8,9,11,14],[1,6,7,8,10,12,13],[2,3,5,8,11,13,14],[2,3,6,7,11,12,14],[2,4,5,9,12,13,14],[2,4,7,8,11,12,13],[2,5,6,7,9,10,13],[2,5,6,8,9,10,12],[2,6,7,8,10,11,14],[3,4,5,7,10,11,13],[3,4,6,8,9,11,12],[3,4,6,10,12,13,14],[3,4,7,8,9,10,14],[3,5,7,8,9,12,13],[4,5,6,9,10,11,14]]; G[10161]:=Group([(1,3)(4,11)(5,10)(6,9)(7,12)(8,13)]); # Design 10162: autom. group order 2, simple, residual B[10162]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,9,10,11,12],[1,2,3,9,10,11,13],[1,2,4,7,9,12,14],[1,2,4,8,10,13,14],[1,3,5,7,10,12,14],[1,3,6,8,9,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,11,12],[1,5,6,7,10,11,13],[1,5,7,8,9,11,14],[1,6,7,8,10,12,13],[2,3,5,8,11,13,14],[2,3,6,7,11,12,14],[2,4,5,7,9,10,13],[2,4,7,8,11,12,13],[2,5,6,8,10,11,12],[2,5,6,9,12,13,14],[2,6,7,8,9,10,14],[3,4,5,8,9,10,12],[3,4,6,7,9,11,13],[3,4,6,10,12,13,14],[3,4,7,8,10,11,14],[3,5,7,8,9,12,13],[4,5,6,9,10,11,14]]; G[10162]:=Group([(1,3)(4,11)(5,10)(6,9)(7,12)(8,13)]); # Design 10163: autom. group order 2, simple B[10163]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,9,10,11,12],[1,2,3,9,10,11,13],[1,2,4,7,9,12,14],[1,2,4,8,10,13,14],[1,3,5,7,11,12,14],[1,3,6,8,11,13,14],[1,4,5,8,10,11,12],[1,4,6,9,12,13,14],[1,5,6,7,9,10,13],[1,5,7,8,10,12,13],[1,6,7,8,9,11,14],[2,3,5,8,9,13,14],[2,3,6,7,10,12,14],[2,4,5,7,9,11,13],[2,4,7,8,10,11,14],[2,5,6,8,9,11,12],[2,5,6,10,12,13,14],[2,6,7,8,11,12,13],[3,4,5,11,12,13,14],[3,4,6,7,10,11,13],[3,4,6,8,9,10,12],[3,4,7,8,9,12,13],[3,5,7,8,9,10,14],[4,5,6,9,10,11,14]]; G[10163]:=Group([(2,3)(4,11)(5,10)(6,9)(7,13)(8,12)]); # Design 10164: autom. group order 2, simple, residual B[10164]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,6,11,13,14],[1,2,4,9,10,11,12],[1,3,5,6,12,13,14],[1,3,7,8,9,12,14],[1,4,5,7,10,13,14],[1,4,6,8,9,10,14],[1,5,7,9,11,12,13],[1,5,8,9,10,11,13],[1,6,7,8,11,12,14],[2,3,5,8,11,13,14],[2,3,9,10,12,13,14],[2,4,5,7,9,12,14],[2,4,7,8,11,12,13],[2,5,6,7,8,10,12],[2,5,6,8,9,11,14],[2,6,7,9,10,13,14],[3,4,5,10,11,12,14],[3,4,6,7,9,11,13],[3,4,6,8,9,12,13],[3,4,7,8,10,11,14],[3,5,6,7,9,10,11],[4,5,6,8,10,12,13]]; G[10164]:=Group([(1,14)(3,9)(4,13)(5,10)(8,12)]); # Design 10165: autom. group order 2, simple B[10165]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,6,11,13,14],[1,2,4,8,12,13,14],[1,3,5,6,9,10,14],[1,3,8,9,11,12,14],[1,4,5,10,11,13,14],[1,4,6,7,9,10,12],[1,5,7,8,10,12,14],[1,5,7,9,11,12,13],[1,6,7,8,9,11,13],[2,3,5,7,11,12,13],[2,3,9,10,12,13,14],[2,4,5,7,9,12,14],[2,4,7,8,9,10,11],[2,5,6,8,9,11,14],[2,5,6,8,10,11,12],[2,6,7,9,10,13,14],[3,4,5,9,10,11,13],[3,4,6,7,11,12,14],[3,4,6,8,9,12,13],[3,4,7,8,10,11,14],[3,5,6,7,8,13,14],[4,5,6,8,10,12,13]]; G[10165]:=Group([(1,14)(3,9)(4,13)(5,10)(8,12)]); # Design 10166: autom. group order 2, simple B[10166]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,6,7,13,14],[1,2,4,8,12,13,14],[1,3,5,6,9,10,14],[1,3,7,8,9,12,14],[1,4,5,10,11,13,14],[1,4,6,9,10,11,12],[1,5,7,8,10,12,14],[1,5,7,9,11,12,13],[1,6,7,8,9,11,13],[2,3,5,7,11,12,13],[2,3,9,10,12,13,14],[2,4,5,9,11,12,14],[2,4,7,8,9,10,11],[2,5,6,7,8,10,12],[2,5,6,8,9,11,14],[2,6,7,9,10,13,14],[3,4,5,7,9,10,13],[3,4,6,7,11,12,14],[3,4,6,8,9,12,13],[3,4,7,8,10,11,14],[3,5,6,8,11,13,14],[4,5,6,8,10,12,13]]; G[10166]:=Group([(1,14)(3,9)(4,13)(5,10)(8,12)]); # Design 10167: autom. group order 2, simple, residual B[10167]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,4,6,11,12,14],[1,2,4,9,10,13,14],[1,3,5,6,12,13,14],[1,3,7,9,12,13,14],[1,4,5,7,8,11,13],[1,4,8,10,11,12,14],[1,5,6,9,10,11,14],[1,5,7,8,9,10,12],[1,6,7,8,9,11,13],[2,3,5,8,9,11,14],[2,3,7,8,11,12,14],[2,4,5,7,10,13,14],[2,4,6,8,9,12,13],[2,5,6,9,11,12,13],[2,5,7,10,11,12,13],[2,6,7,8,9,10,14],[3,4,5,9,10,11,12],[3,4,6,7,9,10,12],[3,4,6,8,10,11,13],[3,4,7,9,11,13,14],[3,5,6,8,10,13,14],[4,5,6,7,8,12,14]]; G[10167]:=Group([(1,12)(3,13)(4,11)(7,9)(8,10)]); # Design 10168: autom. group order 2, simple, residual B[10168]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,4,6,11,12,14],[1,2,4,9,10,13,14],[1,3,5,6,12,13,14],[1,3,7,8,9,11,14],[1,4,5,8,9,10,12],[1,4,7,9,11,12,14],[1,5,6,8,11,13,14],[1,5,7,8,10,11,13],[1,6,7,9,10,12,13],[2,3,5,7,9,13,14],[2,3,8,10,11,12,14],[2,4,5,10,11,13,14],[2,4,6,7,8,12,13],[2,5,6,8,9,11,12],[2,5,7,9,11,12,13],[2,6,7,8,9,10,14],[3,4,5,7,10,11,12],[3,4,6,8,9,11,13],[3,4,6,9,10,11,13],[3,4,7,8,12,13,14],[3,5,6,9,10,12,14],[4,5,6,7,8,10,14]]; G[10168]:=Group([(1,5)(2,14)(3,6)(4,13)(7,12)(9,11)]); # Design 10169: autom. group order 2, simple B[10169]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,4,6,11,12,14],[1,2,4,9,10,13,14],[1,3,5,6,12,13,14],[1,3,9,10,11,13,14],[1,4,5,8,10,11,12],[1,4,7,9,11,12,14],[1,5,6,7,8,13,14],[1,5,7,8,9,10,12],[1,6,7,8,9,11,13],[2,3,5,8,9,11,14],[2,3,7,8,11,12,14],[2,4,5,7,10,13,14],[2,4,6,8,9,12,13],[2,5,6,9,11,12,13],[2,5,7,10,11,12,13],[2,6,7,8,9,10,14],[3,4,5,7,9,11,13],[3,4,6,7,9,10,12],[3,4,6,8,10,11,13],[3,4,7,8,12,13,14],[3,5,6,9,10,12,14],[4,5,6,8,10,11,14]]; G[10169]:=Group([(1,12)(3,13)(4,11)(7,9)(8,10)]); # Design 10170: autom. group order 2, simple B[10170]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,4,6,11,12,14],[1,2,4,9,10,13,14],[1,3,5,6,12,13,14],[1,3,9,10,11,13,14],[1,4,5,8,10,11,12],[1,4,7,9,11,12,14],[1,5,6,7,8,13,14],[1,5,7,8,9,11,13],[1,6,7,8,9,10,12],[2,3,5,8,9,11,14],[2,3,7,8,11,12,14],[2,4,5,7,10,13,14],[2,4,6,8,9,12,13],[2,5,6,9,11,12,13],[2,5,7,10,11,12,13],[2,6,7,8,9,10,14],[3,4,5,7,9,10,12],[3,4,6,7,9,11,13],[3,4,6,8,10,11,13],[3,4,7,8,12,13,14],[3,5,6,9,10,12,14],[4,5,6,8,10,11,14]]; G[10170]:=Group([(1,12)(3,13)(4,11)(7,9)(8,10)]); # Design 10171: autom. group order 2, simple, residual B[10171]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,4,6,10,12,13],[1,2,4,7,11,12,14],[1,3,5,6,9,11,14],[1,3,7,8,10,11,13],[1,4,5,8,10,13,14],[1,4,9,10,11,12,14],[1,5,6,9,11,12,13],[1,5,7,8,9,12,13],[1,6,7,8,9,10,14],[2,3,5,9,10,12,13],[2,3,8,9,11,12,14],[2,4,5,7,9,10,11],[2,4,6,8,9,13,14],[2,5,6,10,11,13,14],[2,5,7,8,11,13,14],[2,6,7,8,9,10,12],[3,4,5,8,10,12,14],[3,4,6,7,9,13,14],[3,4,6,8,11,12,13],[3,4,7,9,10,11,13],[3,5,6,7,10,12,14],[4,5,6,7,8,11,12]]; G[10171]:=Group([(1,14)(3,13)(4,11)(6,8)(9,10)]); # Design 10172: autom. group order 2, simple, residual B[10172]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,4,6,12,13,14],[1,2,4,10,11,12,14],[1,3,5,6,11,13,14],[1,3,7,9,11,13,14],[1,4,5,7,9,10,11],[1,4,8,9,10,12,13],[1,5,6,8,9,12,13],[1,5,7,8,11,12,14],[1,6,7,8,9,10,14],[2,3,5,9,10,12,14],[2,3,7,8,9,11,12],[2,4,5,7,9,13,14],[2,4,6,8,9,11,14],[2,5,6,7,8,10,13],[2,5,8,10,11,13,14],[2,6,7,9,11,12,13],[3,4,5,8,11,12,13],[3,4,6,7,8,12,14],[3,4,6,9,10,11,13],[3,4,7,8,10,13,14],[3,5,6,9,10,12,14],[4,5,6,7,10,11,12]]; G[10172]:=Group([(1,4)(3,14)(5,12)(7,13)(8,11)(9,10)]); # Design 10173: autom. group order 2, simple, residual B[10173]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,4,6,12,13,14],[1,2,4,10,11,12,14],[1,3,5,6,8,13,14],[1,3,7,9,11,13,14],[1,4,5,7,9,10,11],[1,4,8,9,10,12,13],[1,5,6,9,11,12,13],[1,5,7,8,11,12,14],[1,6,7,8,9,10,14],[2,3,5,9,10,12,14],[2,3,7,8,9,11,12],[2,4,5,7,9,13,14],[2,4,6,8,9,11,14],[2,5,6,7,10,11,13],[2,5,8,10,11,13,14],[2,6,7,8,9,12,13],[3,4,5,8,11,12,13],[3,4,6,7,11,12,14],[3,4,6,9,10,11,13],[3,4,7,8,10,13,14],[3,5,6,9,10,12,14],[4,5,6,7,8,10,12]]; G[10173]:=Group([(1,4)(3,14)(5,12)(7,13)(8,11)(9,10)]); # Design 10174: autom. group order 2, simple, residual B[10174]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,6,9,13,14],[1,2,4,10,11,13,14],[1,3,5,6,8,11,14],[1,3,7,9,12,13,14],[1,4,5,10,11,12,14],[1,4,7,8,9,11,12],[1,5,6,8,9,10,12],[1,5,7,9,10,11,13],[1,6,7,8,12,13,14],[2,3,5,7,11,12,13],[2,3,8,9,10,12,14],[2,4,5,8,12,13,14],[2,4,6,7,9,10,12],[2,5,6,9,11,12,13],[2,5,7,8,9,11,14],[2,6,7,8,10,11,14],[3,4,5,7,10,12,14],[3,4,6,7,9,11,14],[3,4,6,8,11,12,13],[3,4,8,9,10,11,13],[3,5,6,9,10,13,14],[4,5,6,7,8,10,13]]; G[10174]:=Group([(2,13)(3,7)(4,14)(5,12)(6,9)]); # Design 10175: autom. group order 2, simple, residual B[10175]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,6,9,13,14],[1,2,4,10,11,13,14],[1,3,5,6,8,11,14],[1,3,7,9,12,13,14],[1,4,5,10,11,12,14],[1,4,7,8,9,11,12],[1,5,6,8,9,10,12],[1,5,7,9,10,11,13],[1,6,7,8,12,13,14],[2,3,5,7,11,12,13],[2,3,8,9,10,12,14],[2,4,5,8,12,13,14],[2,4,6,7,9,11,12],[2,5,6,9,10,12,13],[2,5,7,8,9,11,14],[2,6,7,8,10,11,14],[3,4,5,7,10,12,14],[3,4,6,7,9,10,14],[3,4,6,8,11,12,13],[3,4,8,9,10,11,13],[3,5,6,9,11,13,14],[4,5,6,7,8,10,13]]; G[10175]:=Group([(2,13)(3,7)(4,14)(5,12)(6,9)]); # Design 10176: autom. group order 2, simple, residual B[10176]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,6,8,10,14],[1,2,4,9,11,12,13],[1,3,5,6,9,13,14],[1,3,8,9,11,13,14],[1,4,5,7,11,12,14],[1,4,7,8,10,13,14],[1,5,6,8,9,10,12],[1,5,7,9,10,12,13],[1,6,7,8,11,12,14],[2,3,5,7,8,12,14],[2,3,7,9,10,12,14],[2,4,5,8,11,12,13],[2,4,6,7,9,13,14],[2,5,6,10,11,13,14],[2,5,8,9,10,11,14],[2,6,7,8,9,12,13],[3,4,5,10,12,13,14],[3,4,6,8,10,12,13],[3,4,6,9,11,12,14],[3,4,7,8,9,10,11],[3,5,6,7,8,11,13],[4,5,6,7,9,10,11]]; G[10176]:=Group([(1,10)(3,11)(4,14)(7,13)]); # Design 10177: autom. group order 2, simple, residual B[10177]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,9,10,13],[1,2,4,6,7,10,14],[1,2,4,8,11,13,14],[1,3,5,6,11,13,14],[1,3,7,9,12,13,14],[1,4,5,7,9,11,12],[1,4,7,10,11,12,13],[1,5,6,8,9,11,12],[1,5,7,8,10,13,14],[1,6,8,9,10,12,14],[2,3,5,11,12,13,14],[2,3,7,8,10,11,12],[2,4,5,9,10,12,13],[2,4,6,9,12,13,14],[2,5,6,7,8,12,14],[2,5,7,9,10,11,14],[2,6,7,8,9,11,13],[3,4,5,8,10,12,14],[3,4,6,7,8,12,13],[3,4,6,9,10,11,14],[3,4,7,8,9,11,14],[3,5,6,7,9,10,13],[4,5,6,8,10,11,13]]; G[10177]:=Group([(2,12)(3,11)(4,9)(7,8)]); # Design 10178: autom. group order 2, simple, residual B[10178]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,9,13,14],[1,2,4,6,7,10,13],[1,2,4,8,10,11,14],[1,3,5,6,11,13,14],[1,3,7,9,10,12,14],[1,4,5,7,9,11,12],[1,4,7,11,12,13,14],[1,5,6,8,9,11,12],[1,5,7,8,10,13,14],[1,6,8,9,10,12,13],[2,3,5,11,12,13,14],[2,3,7,8,10,11,12],[2,4,5,9,10,12,14],[2,4,6,9,12,13,14],[2,5,6,7,8,12,13],[2,5,7,9,10,11,13],[2,6,7,8,9,11,14],[3,4,5,8,10,12,13],[3,4,6,7,8,12,14],[3,4,6,9,10,11,13],[3,4,7,8,9,11,13],[3,5,6,7,9,10,14],[4,5,6,8,10,11,14]]; G[10178]:=Group([(2,12)(3,11)(4,9)(7,8)]); # Design 10179: autom. group order 2, simple, residual B[10179]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,6,7,10,14],[1,2,4,9,12,13,14],[1,3,5,6,12,13,14],[1,3,7,8,9,12,14],[1,4,5,8,10,11,12],[1,4,7,9,10,11,13],[1,5,6,8,11,13,14],[1,5,7,8,9,10,14],[1,6,7,9,11,12,13],[2,3,5,7,9,11,12],[2,3,7,8,11,13,14],[2,4,5,7,11,13,14],[2,4,6,8,9,12,13],[2,5,6,8,9,10,13],[2,5,9,10,11,12,14],[2,6,7,8,10,12,14],[3,4,5,10,12,13,14],[3,4,6,8,9,11,14],[3,4,6,9,10,11,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,13],[4,5,6,7,8,11,12]]; G[10179]:=Group([(1,5)(2,13)(3,6)(4,14)(7,12)(9,11)]); # Design 10180: autom. group order 2, simple, residual B[10180]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,9,10,13],[1,2,4,6,7,11,13],[1,2,4,10,12,13,14],[1,3,5,6,8,12,14],[1,3,8,11,12,13,14],[1,4,5,9,10,11,14],[1,4,7,8,10,11,14],[1,5,6,7,9,12,14],[1,5,7,8,9,11,13],[1,6,7,9,10,12,13],[2,3,5,7,10,11,14],[2,3,7,9,11,12,14],[2,4,5,9,12,13,14],[2,4,6,8,9,11,12],[2,5,6,8,10,13,14],[2,5,7,8,11,12,13],[2,6,7,8,9,10,14],[3,4,5,7,10,12,13],[3,4,6,7,8,13,14],[3,4,6,9,11,13,14],[3,4,7,8,9,10,12],[3,5,6,9,10,11,13],[4,5,6,8,10,11,12]]; G[10180]:=Group([(2,12)(3,6)(4,14)(7,8)]); # Design 10181: autom. group order 2, simple, residual B[10181]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,6,9,13,14],[1,2,4,7,12,13,14],[1,3,5,6,7,10,14],[1,3,7,8,9,11,14],[1,4,5,8,9,10,12],[1,4,7,8,11,12,13],[1,5,6,9,11,12,13],[1,5,7,10,11,13,14],[1,6,8,9,10,12,14],[2,3,5,8,12,13,14],[2,3,7,9,10,12,13],[2,4,5,10,11,12,14],[2,4,6,8,10,11,14],[2,5,6,7,9,11,12],[2,5,7,8,9,11,14],[2,6,7,8,9,10,13],[3,4,5,9,10,11,13],[3,4,6,7,8,11,12],[3,4,6,9,11,13,14],[3,4,7,9,10,12,14],[3,5,6,8,12,13,14],[4,5,6,7,8,10,13]]; G[10181]:=Group([(1,4)(3,14)(5,13)(7,9)(8,12)(10,11)]); # Design 10182: autom. group order 2, simple B[10182]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,11,12,13],[1,2,4,6,12,13,14],[1,2,4,7,9,12,14],[1,3,5,6,7,10,14],[1,3,7,9,11,12,13],[1,4,5,10,11,13,14],[1,4,7,8,9,10,13],[1,5,6,8,9,11,12],[1,5,7,8,11,13,14],[1,6,8,9,10,12,14],[2,3,5,8,9,13,14],[2,3,7,8,11,12,14],[2,4,5,9,10,11,12],[2,4,6,8,11,13,14],[2,5,6,7,10,12,13],[2,5,7,9,10,11,14],[2,6,7,8,9,10,13],[3,4,5,8,10,12,13],[3,4,6,7,9,11,13],[3,4,6,9,10,11,14],[3,4,7,8,10,12,14],[3,5,6,9,12,13,14],[4,5,6,7,8,11,12]]; G[10182]:=Group([(1,9)(2,13)(4,7)(5,11)(8,12)(10,14)]); # Design 10183: autom. group order 2, simple, residual B[10183]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,6,9,13,14],[1,2,4,7,12,13,14],[1,3,5,6,7,10,14],[1,3,7,8,9,11,14],[1,4,5,8,9,11,12],[1,4,7,8,10,12,13],[1,5,6,9,10,12,13],[1,5,9,10,11,13,14],[1,6,7,8,11,12,14],[2,3,5,8,12,13,14],[2,3,7,9,11,12,13],[2,4,5,10,11,12,14],[2,4,6,8,10,11,14],[2,5,6,7,9,11,12],[2,5,7,8,9,10,14],[2,6,7,8,9,10,13],[3,4,5,7,10,11,13],[3,4,6,8,9,10,12],[3,4,6,9,11,13,14],[3,4,7,9,10,12,14],[3,5,6,8,12,13,14],[4,5,6,7,8,11,13]]; G[10183]:=Group([(1,4)(3,14)(5,13)(7,9)(8,12)(10,11)]); # Design 10184: autom. group order 2, simple B[10184]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,6,10,13,14],[1,2,4,7,9,12,14],[1,3,5,6,9,13,14],[1,3,7,9,11,12,13],[1,4,5,7,8,10,11],[1,4,7,8,12,13,14],[1,5,6,8,11,12,14],[1,5,9,10,11,12,14],[1,6,7,8,9,10,13],[2,3,5,7,10,12,14],[2,3,7,8,9,11,14],[2,4,5,8,11,12,13],[2,4,6,9,11,12,13],[2,5,6,7,11,13,14],[2,5,8,9,10,13,14],[2,6,7,8,9,10,12],[3,4,5,9,10,12,13],[3,4,6,8,9,11,14],[3,4,6,8,10,12,14],[3,4,7,10,11,13,14],[3,5,6,7,8,12,13],[4,5,6,7,9,10,11]]; G[10184]:=Group([(2,12)(3,14)(4,11)(6,9)(7,10)]); # Design 10185: autom. group order 2, simple, residual B[10185]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,12,13,14],[1,2,4,6,11,12,13],[1,2,4,7,8,12,14],[1,3,5,6,9,11,14],[1,3,7,9,10,11,12],[1,4,5,7,10,13,14],[1,4,8,9,10,11,13],[1,5,6,9,12,13,14],[1,5,7,8,9,10,12],[1,6,7,8,11,13,14],[2,3,5,8,10,13,14],[2,3,7,9,11,13,14],[2,4,5,9,11,12,14],[2,4,6,7,9,10,13],[2,5,6,7,10,11,12],[2,5,7,8,9,11,13],[2,6,8,9,10,12,14],[3,4,5,10,11,12,13],[3,4,6,7,9,10,14],[3,4,6,8,9,12,13],[3,4,7,8,11,12,14],[3,5,6,7,8,12,13],[4,5,6,8,10,11,14]]; G[10185]:=Group([(1,12)(2,13)(4,6)(5,8)(7,9)]); # Design 10186: autom. group order 2, simple, residual B[10186]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,6,9,10,13],[1,2,4,7,11,13,14],[1,3,5,6,11,12,14],[1,3,7,8,9,12,13],[1,4,5,8,10,12,14],[1,4,7,9,10,11,12],[1,5,6,7,8,11,13],[1,5,7,9,10,11,14],[1,6,8,9,12,13,14],[2,3,5,9,11,13,14],[2,3,7,9,10,12,14],[2,4,5,7,8,12,14],[2,4,6,8,9,11,12],[2,5,6,7,10,12,13],[2,5,8,10,11,12,13],[2,6,7,8,9,11,14],[3,4,5,9,11,12,13],[3,4,6,7,12,13,14],[3,4,6,8,10,11,14],[3,4,7,8,10,11,13],[3,5,6,7,8,9,10],[4,5,6,9,10,13,14]]; G[10186]:=Group([(1,10)(3,13)(4,12)(9,11)]); # Design 10187: autom. group order 2, simple, residual B[10187]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,4,6,10,12,14],[1,2,4,7,12,13,14],[1,3,5,6,11,13,14],[1,3,7,9,11,12,14],[1,4,5,9,10,11,13],[1,4,7,8,10,11,14],[1,5,6,7,8,9,12],[1,5,7,8,10,13,14],[1,6,8,9,11,12,13],[2,3,5,8,12,13,14],[2,3,7,8,10,11,13],[2,4,5,7,9,11,13],[2,4,6,8,9,11,14],[2,5,6,7,10,11,12],[2,5,9,10,11,12,14],[2,6,7,8,9,13,14],[3,4,5,8,11,12,14],[3,4,6,7,11,12,13],[3,4,6,9,10,13,14],[3,4,7,8,9,10,12],[3,5,6,7,9,10,14],[4,5,6,8,10,12,13]]; G[10187]:=Group([(1,10)(3,12)(4,11)(8,14)]); # Design 10188: autom. group order 2, simple, residual B[10188]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,6,9,10,14],[1,2,4,7,11,12,13],[1,3,5,6,12,13,14],[1,3,7,9,11,13,14],[1,4,5,8,10,13,14],[1,4,7,9,10,12,14],[1,5,6,7,8,9,11],[1,5,7,8,11,12,14],[1,6,8,9,10,12,13],[2,3,5,8,9,12,14],[2,3,7,8,10,12,14],[2,4,5,9,11,12,13],[2,4,6,7,8,13,14],[2,5,6,7,10,11,14],[2,5,9,10,11,13,14],[2,6,7,8,9,12,13],[3,4,5,7,10,12,13],[3,4,6,8,11,13,14],[3,4,6,9,11,12,14],[3,4,7,8,9,10,11],[3,5,6,7,9,10,13],[4,5,6,8,10,11,12]]; G[10188]:=Group([(1,10)(3,11)(4,14)(8,13)]); # Design 10189: autom. group order 2, simple, residual B[10189]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,6,9,10,14],[1,2,4,7,11,12,13],[1,3,5,6,12,13,14],[1,3,7,8,9,11,14],[1,4,5,8,10,13,14],[1,4,7,9,10,12,14],[1,5,6,7,9,11,13],[1,5,7,8,11,12,14],[1,6,8,9,10,12,13],[2,3,5,9,12,13,14],[2,3,7,8,10,12,14],[2,4,5,8,9,11,12],[2,4,6,7,8,13,14],[2,5,6,7,10,11,14],[2,5,9,10,11,13,14],[2,6,7,8,9,12,13],[3,4,5,7,10,12,13],[3,4,6,8,11,13,14],[3,4,6,9,11,12,14],[3,4,7,9,10,11,13],[3,5,6,7,8,9,10],[4,5,6,8,10,11,12]]; G[10189]:=Group([(1,10)(3,11)(4,14)(8,13)]); # Design 10190: autom. group order 2, simple B[10190]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,6,11,13,14],[1,2,4,7,9,10,13],[1,3,5,6,9,11,12],[1,3,7,8,9,12,13],[1,4,5,8,10,12,14],[1,4,7,10,11,12,14],[1,5,6,7,12,13,14],[1,5,8,9,11,13,14],[1,6,7,8,9,10,11],[2,3,5,7,11,13,14],[2,3,7,9,10,12,14],[2,4,5,7,8,11,12],[2,4,6,8,9,12,14],[2,5,6,8,10,12,13],[2,5,9,10,11,12,13],[2,6,7,8,9,11,14],[3,4,5,9,10,11,14],[3,4,6,8,10,11,13],[3,4,6,9,12,13,14],[3,4,7,8,11,12,13],[3,5,6,7,8,10,14],[4,5,6,7,9,10,13]]; G[10190]:=Group([(1,10)(3,13)(4,12)(6,9)(7,11)]); # Design 10191: autom. group order 2, simple, residual B[10191]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,6,10,11,13],[1,2,4,7,8,12,14],[1,3,5,6,9,12,14],[1,3,7,8,9,11,13],[1,4,5,9,10,13,14],[1,4,7,9,10,11,12],[1,5,6,8,11,12,13],[1,5,7,11,12,13,14],[1,6,7,8,9,10,14],[2,3,5,7,9,11,13],[2,3,9,10,11,12,14],[2,4,5,8,11,12,14],[2,4,6,7,9,12,13],[2,5,6,7,10,13,14],[2,5,8,9,10,12,13],[2,6,7,8,9,11,14],[3,4,5,7,10,11,14],[3,4,6,8,11,13,14],[3,4,6,9,12,13,14],[3,4,7,8,10,12,13],[3,5,6,7,8,10,12],[4,5,6,8,9,10,11]]; G[10191]:=Group([(2,11)(3,12)(4,13)(7,8)(9,14)]); # Design 10192: autom. group order 2, simple, residual B[10192]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,4,6,11,12,14],[1,2,4,8,10,13,14],[1,3,5,6,7,13,14],[1,3,8,9,11,12,14],[1,4,5,7,9,11,12],[1,4,7,9,10,11,13],[1,5,6,10,11,13,14],[1,5,7,8,10,12,14],[1,6,7,8,9,12,13],[2,3,5,7,10,11,12],[2,3,7,11,12,13,14],[2,4,5,9,11,13,14],[2,4,6,7,8,12,13],[2,5,6,9,10,12,13],[2,5,7,8,9,10,14],[2,6,7,8,9,11,14],[3,4,5,8,12,13,14],[3,4,6,7,9,10,14],[3,4,6,9,10,12,14],[3,4,7,8,10,11,13],[3,5,6,8,9,11,13],[4,5,6,8,10,11,12]]; G[10192]:=Group([(1,5)(2,13)(3,6)(4,14)(8,11)(9,10)]); # Design 10193: autom. group order 2, simple, residual B[10193]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,6,7,13,14],[1,2,4,8,10,12,14],[1,3,5,6,9,13,14],[1,3,7,8,9,11,14],[1,4,5,9,11,12,14],[1,4,7,10,11,13,14],[1,5,6,8,11,12,13],[1,5,7,9,10,12,13],[1,6,7,8,9,10,12],[2,3,5,7,10,12,14],[2,3,9,11,12,13,14],[2,4,5,9,10,11,13],[2,4,7,8,9,12,13],[2,5,6,7,9,10,11],[2,5,6,8,12,13,14],[2,6,7,8,9,11,14],[3,4,5,7,8,11,12],[3,4,6,7,11,12,13],[3,4,6,8,9,10,13],[3,4,6,9,10,12,14],[3,5,7,8,10,13,14],[4,5,6,8,10,11,14]]; G[10193]:=Group([(1,11)(3,10)(4,9)(8,13)]); # Design 10194: autom. group order 2, simple, residual B[10194]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,6,7,13,14],[1,2,4,8,10,12,14],[1,3,5,6,9,13,14],[1,3,7,8,9,11,14],[1,4,5,9,11,12,14],[1,4,7,10,11,13,14],[1,5,6,8,11,12,13],[1,5,7,8,9,10,12],[1,6,7,9,10,12,13],[2,3,5,7,10,12,14],[2,3,9,11,12,13,14],[2,4,5,9,10,11,13],[2,4,7,8,9,12,13],[2,5,6,7,9,10,11],[2,5,6,8,12,13,14],[2,6,7,8,9,11,14],[3,4,5,7,11,12,13],[3,4,6,7,8,11,12],[3,4,6,8,9,10,13],[3,4,6,9,10,12,14],[3,5,7,8,10,13,14],[4,5,6,8,10,11,14]]; G[10194]:=Group([(1,11)(3,10)(4,9)(8,13)]); # Design 10195: autom. group order 2, simple, residual B[10195]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,6,11,13,14],[1,2,4,7,9,12,14],[1,3,5,9,10,11,13],[1,3,6,9,10,12,14],[1,4,5,8,11,12,14],[1,4,6,8,10,13,14],[1,5,6,7,8,9,11],[1,5,7,10,12,13,14],[1,7,8,9,11,12,13],[2,3,5,9,12,13,14],[2,3,7,8,11,12,14],[2,4,5,8,10,12,13],[2,4,7,9,10,11,13],[2,5,6,8,10,11,12],[2,5,6,9,11,13,14],[2,6,7,8,9,10,14],[3,4,5,7,10,11,14],[3,4,6,7,11,12,13],[3,4,6,8,9,12,13],[3,4,8,9,10,11,14],[3,5,6,7,8,13,14],[4,5,6,7,9,10,12]]; G[10195]:=Group([(3,4)(8,9)(10,14)(12,13)]); # Design 10196: autom. group order 2, simple, residual B[10196]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,6,11,13,14],[1,2,4,7,9,12,14],[1,3,5,9,10,11,13],[1,3,6,9,12,13,14],[1,4,5,8,11,12,14],[1,4,6,8,10,12,13],[1,5,6,7,8,9,11],[1,5,7,10,12,13,14],[1,7,8,9,10,11,14],[2,3,5,9,10,12,14],[2,3,7,8,11,12,14],[2,4,5,8,10,13,14],[2,4,7,9,10,11,13],[2,5,6,8,10,11,12],[2,5,6,9,11,13,14],[2,6,7,8,9,12,13],[3,4,5,7,11,12,13],[3,4,6,7,10,11,14],[3,4,6,8,9,10,14],[3,4,8,9,11,12,13],[3,5,6,7,8,13,14],[4,5,6,7,9,10,12]]; G[10196]:=Group([(3,4)(8,9)(10,14)(12,13)]); # Design 10197: autom. group order 2, simple, residual B[10197]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,6,11,13,14],[1,2,4,7,9,12,14],[1,3,5,9,11,12,14],[1,3,6,9,10,13,14],[1,4,5,8,10,11,13],[1,4,6,8,10,12,14],[1,5,6,7,8,9,11],[1,5,7,10,12,13,14],[1,7,8,9,11,12,13],[2,3,5,9,10,12,13],[2,3,7,8,11,12,14],[2,4,5,8,12,13,14],[2,4,7,9,10,11,13],[2,5,6,8,10,11,12],[2,5,6,9,11,13,14],[2,6,7,8,9,10,14],[3,4,5,7,10,11,14],[3,4,6,7,11,12,13],[3,4,6,8,9,12,13],[3,4,8,9,10,11,14],[3,5,6,7,8,13,14],[4,5,6,7,9,10,12]]; G[10197]:=Group([(3,4)(8,9)(10,14)(12,13)]); # Design 10198: autom. group order 2, simple, residual B[10198]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,4,6,10,13,14],[1,2,4,7,9,11,12],[1,3,5,9,10,11,13],[1,3,6,9,11,12,14],[1,4,5,8,10,12,14],[1,4,6,8,11,13,14],[1,5,6,7,8,9,10],[1,5,7,11,12,13,14],[1,7,8,9,10,12,13],[2,3,5,9,12,13,14],[2,3,7,8,10,12,14],[2,4,5,8,11,12,13],[2,4,7,9,10,11,13],[2,5,6,8,10,11,12],[2,5,6,9,10,13,14],[2,6,7,8,9,11,14],[3,4,5,7,10,11,14],[3,4,6,7,10,12,13],[3,4,6,8,9,12,13],[3,4,8,9,10,11,14],[3,5,6,7,8,11,13],[4,5,6,7,9,12,14]]; G[10198]:=Group([(3,4)(8,9)(11,14)(12,13)]); # Design 10199: autom. group order 2, simple, residual B[10199]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,4,6,10,13,14],[1,2,4,7,9,11,12],[1,3,5,9,10,11,13],[1,3,6,9,12,13,14],[1,4,5,8,10,12,14],[1,4,6,8,11,12,13],[1,5,6,7,8,9,10],[1,5,7,11,12,13,14],[1,7,8,9,10,11,14],[2,3,5,9,11,12,14],[2,3,7,8,10,12,14],[2,4,5,8,11,13,14],[2,4,7,9,10,11,13],[2,5,6,8,10,11,12],[2,5,6,9,10,13,14],[2,6,7,8,9,12,13],[3,4,5,7,10,12,13],[3,4,6,7,10,11,14],[3,4,6,8,9,11,14],[3,4,8,9,10,12,13],[3,5,6,7,8,11,13],[4,5,6,7,9,12,14]]; G[10199]:=Group([(3,4)(8,9)(11,14)(12,13)]); # Design 10200: autom. group order 2, simple, residual B[10200]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,6,11,13,14],[1,2,4,7,9,12,14],[1,3,5,9,10,11,12],[1,3,6,9,12,13,14],[1,4,5,8,11,13,14],[1,4,6,8,10,12,13],[1,5,6,7,8,9,11],[1,5,7,10,12,13,14],[1,7,8,9,10,11,14],[2,3,5,8,10,13,14],[2,3,7,9,11,13,14],[2,4,5,9,10,12,14],[2,4,7,8,10,11,12],[2,5,6,8,11,12,14],[2,5,6,9,10,11,13],[2,6,7,8,9,12,13],[3,4,5,7,11,12,13],[3,4,6,7,10,11,14],[3,4,6,8,9,10,14],[3,4,8,9,11,12,13],[3,5,6,7,8,12,14],[4,5,6,7,9,10,13]]; G[10200]:=Group([(3,4)(8,9)(10,14)(12,13)]); # Design 10201: autom. group order 2, simple, residual B[10201]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,6,11,13,14],[1,2,4,7,9,12,14],[1,3,5,9,11,13,14],[1,3,6,9,10,13,14],[1,4,5,8,10,11,12],[1,4,6,8,10,12,14],[1,5,6,7,8,9,11],[1,5,7,10,12,13,14],[1,7,8,9,11,12,13],[2,3,5,8,12,13,14],[2,3,7,9,10,11,12],[2,4,5,9,10,12,13],[2,4,7,8,11,13,14],[2,5,6,8,10,11,13],[2,5,6,9,11,12,14],[2,6,7,8,9,10,14],[3,4,5,7,10,11,14],[3,4,6,7,11,12,13],[3,4,6,8,9,12,13],[3,4,8,9,10,11,14],[3,5,6,7,8,12,14],[4,5,6,7,9,10,13]]; G[10201]:=Group([(3,4)(8,9)(10,14)(12,13)]); # Design 10202: autom. group order 2, simple, residual B[10202]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,6,11,13,14],[1,2,4,7,9,12,14],[1,3,5,9,11,12,14],[1,3,6,9,10,12,13],[1,4,5,8,10,11,13],[1,4,6,8,12,13,14],[1,5,6,7,8,9,11],[1,5,7,10,12,13,14],[1,7,8,9,10,11,14],[2,3,5,8,10,12,14],[2,3,7,9,11,13,14],[2,4,5,9,10,13,14],[2,4,7,8,10,11,12],[2,5,6,8,11,12,14],[2,5,6,9,10,11,13],[2,6,7,8,9,12,13],[3,4,5,7,11,12,13],[3,4,6,7,10,11,14],[3,4,6,8,9,10,14],[3,4,8,9,11,12,13],[3,5,6,7,8,13,14],[4,5,6,7,9,10,12]]; G[10202]:=Group([(3,4)(8,9)(10,14)(12,13)]); # Design 10203: autom. group order 2, simple, residual B[10203]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,4,6,10,13,14],[1,2,4,7,9,11,12],[1,3,5,9,10,11,13],[1,3,6,9,11,13,14],[1,4,5,8,10,12,14],[1,4,6,8,11,12,14],[1,5,6,7,8,9,10],[1,5,7,11,12,13,14],[1,7,8,9,10,12,13],[2,3,5,8,12,13,14],[2,3,7,9,10,12,14],[2,4,5,9,11,12,13],[2,4,7,8,10,11,13],[2,5,6,8,10,11,13],[2,5,6,9,10,12,14],[2,6,7,8,9,11,14],[3,4,5,7,10,11,14],[3,4,6,7,10,12,13],[3,4,6,8,9,12,13],[3,4,8,9,10,11,14],[3,5,6,7,8,11,12],[4,5,6,7,9,13,14]]; G[10203]:=Group([(3,4)(8,9)(11,14)(12,13)]); # Design 10204: autom. group order 2, simple, residual B[10204]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,6,11,13,14],[1,2,4,7,9,12,14],[1,3,5,9,11,13,14],[1,3,6,9,10,13,14],[1,4,5,8,10,11,12],[1,4,6,8,10,12,14],[1,5,6,7,8,9,11],[1,5,7,10,12,13,14],[1,7,8,9,11,12,13],[2,3,5,8,12,13,14],[2,3,7,8,11,12,14],[2,4,5,9,10,12,13],[2,4,7,9,10,11,13],[2,5,6,8,10,11,13],[2,5,6,9,11,12,14],[2,6,7,8,9,10,14],[3,4,5,7,10,11,14],[3,4,6,7,11,12,13],[3,4,6,8,9,12,13],[3,4,8,9,10,11,14],[3,5,6,7,9,10,12],[4,5,6,7,8,13,14]]; G[10204]:=Group([(3,4)(8,9)(10,14)(12,13)]); # Design 10205: autom. group order 2, simple, residual B[10205]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,6,11,13,14],[1,2,4,7,9,12,14],[1,3,5,9,11,12,14],[1,3,6,9,10,12,13],[1,4,5,8,10,11,13],[1,4,6,8,12,13,14],[1,5,6,7,8,9,11],[1,5,7,10,12,13,14],[1,7,8,9,10,11,14],[2,3,5,8,10,12,14],[2,3,7,8,11,13,14],[2,4,5,9,10,13,14],[2,4,7,9,10,11,12],[2,5,6,8,11,12,14],[2,5,6,9,10,11,13],[2,6,7,8,9,12,13],[3,4,5,7,11,12,13],[3,4,6,7,10,11,14],[3,4,6,8,9,10,14],[3,4,8,9,11,12,13],[3,5,6,7,9,13,14],[4,5,6,7,8,10,12]]; G[10205]:=Group([(3,4)(8,9)(10,14)(12,13)]); # Design 10206: autom. group order 2, simple, residual B[10206]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,6,11,13,14],[1,2,4,7,9,12,14],[1,3,5,9,11,13,14],[1,3,6,9,12,13,14],[1,4,5,8,10,11,12],[1,4,6,8,10,12,13],[1,5,6,7,8,9,11],[1,5,7,10,12,13,14],[1,7,8,9,10,11,14],[2,3,5,8,10,13,14],[2,3,7,8,11,12,14],[2,4,5,9,10,12,14],[2,4,7,9,10,11,13],[2,5,6,8,11,12,14],[2,5,6,9,10,11,13],[2,6,7,8,9,12,13],[3,4,5,7,11,12,13],[3,4,6,7,10,11,14],[3,4,6,8,9,10,14],[3,4,8,9,11,12,13],[3,5,6,7,9,10,12],[4,5,6,7,8,13,14]]; G[10206]:=Group([(3,4)(8,9)(10,14)(12,13)]); # Design 10207: autom. group order 2, simple, residual B[10207]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,4,6,10,13,14],[1,2,4,7,9,11,12],[1,3,5,9,10,11,13],[1,3,6,9,11,12,14],[1,4,5,8,10,12,14],[1,4,6,8,11,13,14],[1,5,6,7,8,9,10],[1,5,7,11,12,13,14],[1,7,8,9,10,12,13],[2,3,5,8,11,12,13],[2,3,7,8,10,12,14],[2,4,5,9,12,13,14],[2,4,7,9,10,11,13],[2,5,6,8,10,11,13],[2,5,6,9,10,12,14],[2,6,7,8,9,11,14],[3,4,5,7,10,11,14],[3,4,6,7,10,12,13],[3,4,6,8,9,12,13],[3,4,8,9,10,11,14],[3,5,6,7,9,13,14],[4,5,6,7,8,11,12]]; G[10207]:=Group([(3,4)(8,9)(11,14)(12,13)]); # Design 10208: autom. group order 2, simple, residual B[10208]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,6,11,13,14],[1,2,4,7,9,12,14],[1,3,5,9,11,13,14],[1,3,6,8,10,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,12,14],[1,5,6,7,8,9,11],[1,5,7,10,12,13,14],[1,7,8,9,11,12,13],[2,3,5,9,12,13,14],[2,3,7,9,10,11,12],[2,4,5,8,10,12,13],[2,4,7,8,11,13,14],[2,5,6,8,11,12,14],[2,5,6,9,10,11,13],[2,6,7,8,9,10,14],[3,4,5,7,10,11,14],[3,4,6,7,11,12,13],[3,4,6,8,9,12,13],[3,4,8,9,10,11,14],[3,5,6,7,8,12,14],[4,5,6,7,9,10,13]]; G[10208]:=Group([(3,4)(8,9)(10,14)(12,13)]); # Design 10209: autom. group order 2, simple, residual B[10209]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,6,11,13,14],[1,2,4,7,9,12,14],[1,3,5,9,11,12,14],[1,3,6,8,10,12,14],[1,4,5,8,10,11,13],[1,4,6,9,10,13,14],[1,5,6,7,8,9,11],[1,5,7,10,12,13,14],[1,7,8,9,11,12,13],[2,3,5,9,10,12,13],[2,3,7,8,11,13,14],[2,4,5,8,12,13,14],[2,4,7,9,10,11,12],[2,5,6,8,11,12,14],[2,5,6,9,10,11,13],[2,6,7,8,9,10,14],[3,4,5,7,10,11,14],[3,4,6,7,11,12,13],[3,4,6,8,9,12,13],[3,4,8,9,10,11,14],[3,5,6,7,9,13,14],[4,5,6,7,8,10,12]]; G[10209]:=Group([(3,4)(8,9)(10,14)(12,13)]); # Design 10210: autom. group order 2, simple, residual B[10210]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,6,11,13,14],[1,2,4,7,9,12,14],[1,3,5,9,11,13,14],[1,3,6,8,10,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,12,14],[1,5,6,7,8,9,11],[1,5,7,10,12,13,14],[1,7,8,9,11,12,13],[2,3,5,9,12,13,14],[2,3,7,8,11,12,14],[2,4,5,8,10,12,13],[2,4,7,9,10,11,13],[2,5,6,8,11,12,14],[2,5,6,9,10,11,13],[2,6,7,8,9,10,14],[3,4,5,7,10,11,14],[3,4,6,7,11,12,13],[3,4,6,8,9,12,13],[3,4,8,9,10,11,14],[3,5,6,7,9,10,12],[4,5,6,7,8,13,14]]; G[10210]:=Group([(3,4)(8,9)(10,14)(12,13)]); # Design 10211: autom. group order 2, simple, residual B[10211]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,6,11,13,14],[1,2,4,7,9,12,14],[1,3,5,9,11,13,14],[1,3,6,8,12,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,12,13],[1,5,6,7,8,9,11],[1,5,7,10,12,13,14],[1,7,8,9,10,11,14],[2,3,5,9,10,13,14],[2,3,7,8,11,12,14],[2,4,5,8,10,12,14],[2,4,7,9,10,11,13],[2,5,6,8,10,11,13],[2,5,6,9,11,12,14],[2,6,7,8,9,12,13],[3,4,5,7,11,12,13],[3,4,6,7,10,11,14],[3,4,6,8,9,10,14],[3,4,8,9,11,12,13],[3,5,6,7,9,10,12],[4,5,6,7,8,13,14]]; G[10211]:=Group([(3,4)(8,9)(10,14)(12,13)]); # Design 10212: autom. group order 2, simple, residual B[10212]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,4,6,10,13,14],[1,2,4,7,9,11,12],[1,3,5,9,10,11,13],[1,3,6,8,11,12,13],[1,4,5,8,10,12,14],[1,4,6,9,12,13,14],[1,5,6,7,8,9,10],[1,5,7,11,12,13,14],[1,7,8,9,10,11,14],[2,3,5,9,11,12,14],[2,3,7,8,10,12,14],[2,4,5,8,11,13,14],[2,4,7,9,10,11,13],[2,5,6,8,10,11,13],[2,5,6,9,10,12,14],[2,6,7,8,9,12,13],[3,4,5,7,10,12,13],[3,4,6,7,10,11,14],[3,4,6,8,9,11,14],[3,4,8,9,10,12,13],[3,5,6,7,9,13,14],[4,5,6,7,8,11,12]]; G[10212]:=Group([(3,4)(8,9)(11,14)(12,13)]); # Design 10213: autom. group order 2, simple, residual B[10213]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,6,11,13,14],[1,2,4,7,9,12,14],[1,3,5,9,11,12,14],[1,3,6,8,12,13,14],[1,4,5,8,10,11,13],[1,4,6,9,10,12,13],[1,5,6,7,8,9,11],[1,5,7,10,12,13,14],[1,7,8,9,10,11,14],[2,3,5,8,10,12,14],[2,3,7,9,10,11,13],[2,4,5,9,10,13,14],[2,4,7,8,11,12,14],[2,5,6,8,11,13,14],[2,5,6,9,10,11,12],[2,6,7,8,9,12,13],[3,4,5,7,11,12,13],[3,4,6,7,10,11,14],[3,4,6,8,9,10,14],[3,4,8,9,11,12,13],[3,5,6,7,9,13,14],[4,5,6,7,8,10,12]]; G[10213]:=Group([(3,4)(8,9)(10,14)(12,13)]); # Design 10214: autom. group order 2, simple, residual B[10214]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,6,11,13,14],[1,2,4,7,9,12,14],[1,3,5,8,11,13,14],[1,3,6,9,10,12,13],[1,4,5,9,10,11,12],[1,4,6,8,12,13,14],[1,5,6,7,8,9,11],[1,5,7,10,12,13,14],[1,7,8,9,10,11,14],[2,3,5,9,10,13,14],[2,3,7,9,11,12,14],[2,4,5,8,10,12,14],[2,4,7,8,10,11,13],[2,5,6,8,10,11,12],[2,5,6,9,11,13,14],[2,6,7,8,9,12,13],[3,4,5,7,11,12,13],[3,4,6,7,10,11,14],[3,4,6,8,9,10,14],[3,4,8,9,11,12,13],[3,5,6,7,8,12,14],[4,5,6,7,9,10,13]]; G[10214]:=Group([(3,4)(8,9)(10,14)(12,13)]); # Design 10215: autom. group order 2, simple, residual B[10215]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,6,11,13,14],[1,2,4,7,9,12,14],[1,3,5,8,11,12,14],[1,3,6,9,12,13,14],[1,4,5,9,10,11,13],[1,4,6,8,10,12,13],[1,5,6,7,8,9,11],[1,5,7,10,12,13,14],[1,7,8,9,10,11,14],[2,3,5,9,10,12,14],[2,3,7,9,10,11,13],[2,4,5,8,10,13,14],[2,4,7,8,11,12,14],[2,5,6,8,10,11,12],[2,5,6,9,11,13,14],[2,6,7,8,9,12,13],[3,4,5,7,11,12,13],[3,4,6,7,10,11,14],[3,4,6,8,9,10,14],[3,4,8,9,11,12,13],[3,5,6,7,8,13,14],[4,5,6,7,9,10,12]]; G[10215]:=Group([(3,4)(8,9)(10,14)(12,13)]); # Design 10216: autom. group order 2, simple, residual B[10216]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,6,11,13,14],[1,2,4,7,9,12,14],[1,3,5,8,11,13,14],[1,3,6,9,12,13,14],[1,4,5,9,10,11,12],[1,4,6,8,10,12,13],[1,5,6,7,8,9,11],[1,5,7,10,12,13,14],[1,7,8,9,10,11,14],[2,3,5,9,10,12,14],[2,3,7,9,10,11,13],[2,4,5,8,10,13,14],[2,4,7,8,11,12,14],[2,5,6,8,10,11,12],[2,5,6,9,11,13,14],[2,6,7,8,9,12,13],[3,4,5,7,11,12,13],[3,4,6,7,10,11,14],[3,4,6,8,9,10,14],[3,4,8,9,11,12,13],[3,5,6,7,8,12,14],[4,5,6,7,9,10,13]]; G[10216]:=Group([(3,4)(8,9)(10,14)(12,13)]); # Design 10217: autom. group order 2, simple, residual B[10217]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,4,6,10,13,14],[1,2,4,7,9,11,12],[1,3,5,8,10,11,13],[1,3,6,9,11,13,14],[1,4,5,9,10,12,14],[1,4,6,8,11,12,14],[1,5,6,7,8,9,10],[1,5,7,11,12,13,14],[1,7,8,9,10,12,13],[2,3,5,9,11,12,13],[2,3,7,9,10,12,14],[2,4,5,8,12,13,14],[2,4,7,8,10,11,13],[2,5,6,8,10,11,12],[2,5,6,9,10,13,14],[2,6,7,8,9,11,14],[3,4,5,7,10,11,14],[3,4,6,7,10,12,13],[3,4,6,8,9,12,13],[3,4,8,9,10,11,14],[3,5,6,7,8,12,14],[4,5,6,7,9,11,13]]; G[10217]:=Group([(3,4)(8,9)(11,14)(12,13)]); # Design 10218: autom. group order 2, simple, residual B[10218]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,4,6,10,13,14],[1,2,4,7,9,11,12],[1,3,5,8,10,11,13],[1,3,6,9,11,12,13],[1,4,5,9,10,12,14],[1,4,6,8,12,13,14],[1,5,6,7,8,9,10],[1,5,7,11,12,13,14],[1,7,8,9,10,11,14],[2,3,5,9,11,13,14],[2,3,7,9,10,12,14],[2,4,5,8,11,12,14],[2,4,7,8,10,11,13],[2,5,6,8,10,11,12],[2,5,6,9,10,13,14],[2,6,7,8,9,12,13],[3,4,5,7,10,12,13],[3,4,6,7,10,11,14],[3,4,6,8,9,11,14],[3,4,8,9,10,12,13],[3,5,6,7,8,12,14],[4,5,6,7,9,11,13]]; G[10218]:=Group([(3,4)(8,9)(11,14)(12,13)]); # Design 10219: autom. group order 2, simple, residual B[10219]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,4,6,10,13,14],[1,2,4,7,9,11,12],[1,3,5,8,10,11,13],[1,3,6,9,12,13,14],[1,4,5,9,10,12,14],[1,4,6,8,11,12,13],[1,5,6,7,8,9,10],[1,5,7,11,12,13,14],[1,7,8,9,10,11,14],[2,3,5,9,11,12,14],[2,3,7,9,10,11,13],[2,4,5,8,11,13,14],[2,4,7,8,10,12,14],[2,5,6,8,10,11,12],[2,5,6,9,10,13,14],[2,6,7,8,9,12,13],[3,4,5,7,10,12,13],[3,4,6,7,10,11,14],[3,4,6,8,9,11,14],[3,4,8,9,10,12,13],[3,5,6,7,8,12,14],[4,5,6,7,9,11,13]]; G[10219]:=Group([(3,4)(8,9)(11,14)(12,13)]); # Design 10220: autom. group order 2, simple, residual B[10220]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,6,11,13,14],[1,2,4,7,9,12,14],[1,3,5,8,11,13,14],[1,3,6,9,10,12,13],[1,4,5,9,10,11,12],[1,4,6,8,12,13,14],[1,5,6,7,8,9,11],[1,5,7,10,12,13,14],[1,7,8,9,10,11,14],[2,3,5,9,10,13,14],[2,3,7,8,11,12,14],[2,4,5,8,10,12,14],[2,4,7,9,10,11,13],[2,5,6,8,10,11,12],[2,5,6,9,11,13,14],[2,6,7,8,9,12,13],[3,4,5,7,11,12,13],[3,4,6,7,10,11,14],[3,4,6,8,9,10,14],[3,4,8,9,11,12,13],[3,5,6,7,9,12,14],[4,5,6,7,8,10,13]]; G[10220]:=Group([(3,4)(8,9)(10,14)(12,13)]); # Design 10221: autom. group order 2, simple, residual B[10221]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,6,11,13,14],[1,2,4,7,9,12,14],[1,3,5,8,11,13,14],[1,3,6,9,12,13,14],[1,4,5,9,10,11,12],[1,4,6,8,10,12,13],[1,5,6,7,8,9,11],[1,5,7,10,12,13,14],[1,7,8,9,10,11,14],[2,3,5,9,10,12,14],[2,3,7,8,11,12,14],[2,4,5,8,10,13,14],[2,4,7,9,10,11,13],[2,5,6,8,10,11,12],[2,5,6,9,11,13,14],[2,6,7,8,9,12,13],[3,4,5,7,11,12,13],[3,4,6,7,10,11,14],[3,4,6,8,9,10,14],[3,4,8,9,11,12,13],[3,5,6,7,9,10,13],[4,5,6,7,8,12,14]]; G[10221]:=Group([(3,4)(8,9)(10,14)(12,13)]); # Design 10222: autom. group order 2, simple, residual B[10222]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,4,6,10,13,14],[1,2,4,7,9,11,12],[1,3,5,8,10,11,13],[1,3,6,9,11,12,13],[1,4,5,9,10,12,14],[1,4,6,8,12,13,14],[1,5,6,7,8,9,10],[1,5,7,11,12,13,14],[1,7,8,9,10,11,14],[2,3,5,9,11,13,14],[2,3,7,8,10,12,14],[2,4,5,8,11,12,14],[2,4,7,9,10,11,13],[2,5,6,8,10,11,12],[2,5,6,9,10,13,14],[2,6,7,8,9,12,13],[3,4,5,7,10,12,13],[3,4,6,7,10,11,14],[3,4,6,8,9,11,14],[3,4,8,9,10,12,13],[3,5,6,7,9,12,14],[4,5,6,7,8,11,13]]; G[10222]:=Group([(3,4)(8,9)(11,14)(12,13)]); # Design 10223: autom. group order 2, simple, residual B[10223]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,4,6,10,13,14],[1,2,4,7,9,11,12],[1,3,5,8,10,11,13],[1,3,6,9,12,13,14],[1,4,5,9,10,12,14],[1,4,6,8,11,12,13],[1,5,6,7,8,9,10],[1,5,7,11,12,13,14],[1,7,8,9,10,11,14],[2,3,5,9,11,12,14],[2,3,7,8,10,12,14],[2,4,5,8,11,13,14],[2,4,7,9,10,11,13],[2,5,6,8,10,11,12],[2,5,6,9,10,13,14],[2,6,7,8,9,12,13],[3,4,5,7,10,12,13],[3,4,6,7,10,11,14],[3,4,6,8,9,11,14],[3,4,8,9,10,12,13],[3,5,6,7,9,11,13],[4,5,6,7,8,12,14]]; G[10223]:=Group([(3,4)(8,9)(11,14)(12,13)]); # Design 10224: autom. group order 2, simple, residual B[10224]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,6,11,13,14],[1,2,4,7,9,12,14],[1,3,5,8,11,13,14],[1,3,6,9,10,12,13],[1,4,5,9,10,11,12],[1,4,6,8,12,13,14],[1,5,6,7,8,9,11],[1,5,7,10,12,13,14],[1,7,8,9,10,11,14],[2,3,5,8,10,12,14],[2,3,7,9,11,12,14],[2,4,5,9,10,13,14],[2,4,7,8,10,11,13],[2,5,6,8,11,12,14],[2,5,6,9,10,11,13],[2,6,7,8,9,12,13],[3,4,5,7,11,12,13],[3,4,6,7,10,11,14],[3,4,6,8,9,10,14],[3,4,8,9,11,12,13],[3,5,6,7,9,13,14],[4,5,6,7,8,10,12]]; G[10224]:=Group([(3,4)(8,9)(10,14)(12,13)]); # Design 10225: autom. group order 2, simple, residual B[10225]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,6,11,13,14],[1,2,4,7,9,12,14],[1,3,5,8,11,13,14],[1,3,6,9,10,12,13],[1,4,5,9,10,11,12],[1,4,6,8,12,13,14],[1,5,6,7,8,9,11],[1,5,7,10,12,13,14],[1,7,8,9,10,11,14],[2,3,5,8,10,12,14],[2,3,7,9,11,13,14],[2,4,5,9,10,13,14],[2,4,7,8,10,11,12],[2,5,6,8,11,12,14],[2,5,6,9,10,11,13],[2,6,7,8,9,12,13],[3,4,5,7,11,12,13],[3,4,6,7,10,11,14],[3,4,6,8,9,10,14],[3,4,8,9,11,12,13],[3,5,6,7,9,12,14],[4,5,6,7,8,10,13]]; G[10225]:=Group([(3,4)(8,9)(10,14)(12,13)]); # Design 10226: autom. group order 2, simple, residual B[10226]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,6,11,13,14],[1,2,4,7,9,12,14],[1,3,5,8,11,12,14],[1,3,6,9,12,13,14],[1,4,5,9,10,11,13],[1,4,6,8,10,12,13],[1,5,6,7,8,9,11],[1,5,7,10,12,13,14],[1,7,8,9,10,11,14],[2,3,5,8,10,13,14],[2,3,7,9,11,13,14],[2,4,5,9,10,12,14],[2,4,7,8,10,11,12],[2,5,6,8,11,12,14],[2,5,6,9,10,11,13],[2,6,7,8,9,12,13],[3,4,5,7,11,12,13],[3,4,6,7,10,11,14],[3,4,6,8,9,10,14],[3,4,8,9,11,12,13],[3,5,6,7,9,10,12],[4,5,6,7,8,13,14]]; G[10226]:=Group([(3,4)(8,9)(10,14)(12,13)]); # Design 10227: autom. group order 2, simple, residual B[10227]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,4,6,10,13,14],[1,2,4,7,9,11,12],[1,3,5,8,10,11,13],[1,3,6,9,11,12,13],[1,4,5,9,10,12,14],[1,4,6,8,12,13,14],[1,5,6,7,8,9,10],[1,5,7,11,12,13,14],[1,7,8,9,10,11,14],[2,3,5,8,11,12,14],[2,3,7,9,10,12,14],[2,4,5,9,11,13,14],[2,4,7,8,10,11,13],[2,5,6,8,10,12,14],[2,5,6,9,10,11,13],[2,6,7,8,9,12,13],[3,4,5,7,10,12,13],[3,4,6,7,10,11,14],[3,4,6,8,9,11,14],[3,4,8,9,10,12,13],[3,5,6,7,9,13,14],[4,5,6,7,8,11,12]]; G[10227]:=Group([(3,4)(8,9)(11,14)(12,13)]); # Design 10228: autom. group order 2, simple, residual B[10228]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,6,11,13,14],[1,2,4,7,9,12,14],[1,3,5,8,11,12,14],[1,3,6,8,12,13,14],[1,4,5,9,10,11,13],[1,4,6,9,10,12,13],[1,5,6,7,8,9,11],[1,5,7,10,12,13,14],[1,7,8,9,10,11,14],[2,3,5,9,10,13,14],[2,3,7,9,11,13,14],[2,4,5,8,10,12,14],[2,4,7,8,10,11,12],[2,5,6,8,10,11,13],[2,5,6,9,11,12,14],[2,6,7,8,9,12,13],[3,4,5,7,11,12,13],[3,4,6,7,10,11,14],[3,4,6,8,9,10,14],[3,4,8,9,11,12,13],[3,5,6,7,9,10,12],[4,5,6,7,8,13,14]]; G[10228]:=Group([(3,4)(8,9)(10,14)(12,13)]); # Design 10229: autom. group order 2, simple, residual B[10229]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,4,6,10,13,14],[1,2,4,7,9,11,12],[1,3,5,8,10,11,13],[1,3,6,8,11,12,14],[1,4,5,9,10,12,14],[1,4,6,9,11,13,14],[1,5,6,7,8,9,10],[1,5,7,11,12,13,14],[1,7,8,9,10,12,13],[2,3,5,9,11,12,13],[2,3,7,9,10,12,14],[2,4,5,8,12,13,14],[2,4,7,8,10,11,13],[2,5,6,8,10,12,14],[2,5,6,9,10,11,13],[2,6,7,8,9,11,14],[3,4,5,7,10,11,14],[3,4,6,7,10,12,13],[3,4,6,8,9,12,13],[3,4,8,9,10,11,14],[3,5,6,7,9,13,14],[4,5,6,7,8,11,12]]; G[10229]:=Group([(3,4)(8,9)(11,14)(12,13)]); # Design 10230: autom. group order 2, simple, residual B[10230]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,4,6,9,12,14],[1,2,4,7,11,13,14],[1,3,5,9,11,12,14],[1,3,6,9,10,12,13],[1,4,5,8,10,11,12],[1,4,6,8,11,13,14],[1,5,6,7,10,13,14],[1,5,7,8,9,10,14],[1,7,8,9,11,12,13],[2,3,5,9,11,13,14],[2,3,7,8,10,11,14],[2,4,5,8,10,12,13],[2,4,7,9,10,12,14],[2,5,6,8,12,13,14],[2,5,6,9,10,11,13],[2,6,7,8,9,11,12],[3,4,5,7,11,12,13],[3,4,6,7,8,9,13],[3,4,6,10,11,12,14],[3,4,8,9,10,13,14],[3,5,6,7,8,12,14],[4,5,6,7,9,10,11]]; G[10230]:=Group([(3,4)(8,9)(10,14)(11,12)]); # Design 10231: autom. group order 2, simple, residual B[10231]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,4,6,9,12,14],[1,2,4,7,11,13,14],[1,3,5,9,11,12,14],[1,3,6,9,11,13,14],[1,4,5,8,10,11,12],[1,4,6,8,10,12,13],[1,5,6,7,10,13,14],[1,5,7,8,9,10,14],[1,7,8,9,11,12,13],[2,3,5,9,10,12,13],[2,3,7,8,10,11,14],[2,4,5,8,11,13,14],[2,4,7,9,10,12,14],[2,5,6,8,12,13,14],[2,5,6,9,10,11,13],[2,6,7,8,9,11,12],[3,4,5,7,11,12,13],[3,4,6,7,8,9,13],[3,4,6,10,11,12,14],[3,4,8,9,10,13,14],[3,5,6,7,8,12,14],[4,5,6,7,9,10,11]]; G[10231]:=Group([(3,4)(8,9)(10,14)(11,12)]); # Design 10232: autom. group order 2, simple, residual B[10232]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,4,6,9,12,13],[1,2,4,7,10,11,14],[1,3,5,9,10,11,12],[1,3,6,9,10,13,14],[1,4,5,8,10,12,13],[1,4,6,8,11,12,14],[1,5,6,7,11,13,14],[1,5,7,8,9,11,13],[1,7,8,9,10,12,14],[2,3,5,9,11,12,14],[2,3,7,8,10,11,13],[2,4,5,8,10,13,14],[2,4,7,9,11,12,13],[2,5,6,8,11,12,14],[2,5,6,9,10,13,14],[2,6,7,8,9,10,12],[3,4,5,7,10,12,14],[3,4,6,7,8,9,14],[3,4,6,10,11,12,13],[3,4,8,9,11,13,14],[3,5,6,7,8,12,13],[4,5,6,7,9,10,11]]; G[10232]:=Group([(3,4)(8,9)(10,12)(11,13)]); # Design 10233: autom. group order 2, simple, residual B[10233]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,4,6,9,12,13],[1,2,4,7,10,11,14],[1,3,5,9,10,11,12],[1,3,6,9,10,12,14],[1,4,5,8,11,12,13],[1,4,6,8,11,13,14],[1,5,6,7,10,13,14],[1,5,7,8,9,10,13],[1,7,8,9,11,12,14],[2,3,5,9,11,13,14],[2,3,7,8,10,11,13],[2,4,5,8,10,12,14],[2,4,7,9,10,12,13],[2,5,6,8,10,12,14],[2,5,6,9,11,13,14],[2,6,7,8,9,11,12],[3,4,5,7,11,12,14],[3,4,6,7,8,9,14],[3,4,6,10,11,12,13],[3,4,8,9,10,13,14],[3,5,6,7,8,12,13],[4,5,6,7,9,10,11]]; G[10233]:=Group([(3,4)(8,9)(10,13)(11,12)]); # Design 10234: autom. group order 2, simple, residual B[10234]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,4,6,9,12,14],[1,2,4,7,11,13,14],[1,3,5,9,10,11,12],[1,3,6,9,12,13,14],[1,4,5,8,11,12,14],[1,4,6,8,10,11,13],[1,5,6,7,10,13,14],[1,5,7,8,9,10,14],[1,7,8,9,11,12,13],[2,3,5,8,12,13,14],[2,3,7,9,10,11,14],[2,4,5,9,10,11,13],[2,4,7,8,10,12,14],[2,5,6,8,10,12,13],[2,5,6,9,11,13,14],[2,6,7,8,9,11,12],[3,4,5,7,11,12,13],[3,4,6,7,8,9,13],[3,4,6,10,11,12,14],[3,4,8,9,10,13,14],[3,5,6,7,8,11,14],[4,5,6,7,9,10,12]]; G[10234]:=Group([(3,4)(8,9)(10,14)(11,12)]); # Design 10235: autom. group order 2, simple, residual B[10235]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,4,6,9,12,13],[1,2,4,7,10,11,14],[1,3,5,9,10,11,12],[1,3,6,9,10,13,14],[1,4,5,8,10,12,13],[1,4,6,8,11,12,14],[1,5,6,7,11,13,14],[1,5,7,8,9,11,13],[1,7,8,9,10,12,14],[2,3,5,8,10,13,14],[2,3,7,9,11,12,13],[2,4,5,9,11,12,14],[2,4,7,8,10,11,13],[2,5,6,8,12,13,14],[2,5,6,9,10,11,14],[2,6,7,8,9,10,12],[3,4,5,7,10,12,14],[3,4,6,7,8,9,14],[3,4,6,10,11,12,13],[3,4,8,9,11,13,14],[3,5,6,7,8,11,12],[4,5,6,7,9,10,13]]; G[10235]:=Group([(3,4)(8,9)(10,12)(11,13)]); # Design 10236: autom. group order 2, simple, residual B[10236]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,4,6,9,12,13],[1,2,4,7,10,11,14],[1,3,5,9,10,12,13],[1,3,6,9,11,12,14],[1,4,5,8,10,11,12],[1,4,6,8,10,13,14],[1,5,6,7,11,13,14],[1,5,7,8,9,11,13],[1,7,8,9,10,12,14],[2,3,5,8,11,12,14],[2,3,7,9,10,11,13],[2,4,5,9,10,13,14],[2,4,7,8,11,12,13],[2,5,6,8,12,13,14],[2,5,6,9,10,11,14],[2,6,7,8,9,10,12],[3,4,5,7,10,12,14],[3,4,6,7,8,9,14],[3,4,6,10,11,12,13],[3,4,8,9,11,13,14],[3,5,6,7,8,10,13],[4,5,6,7,9,11,12]]; G[10236]:=Group([(3,4)(8,9)(10,12)(11,13)]); # Design 10237: autom. group order 2, simple, residual B[10237]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,4,6,9,12,14],[1,2,4,7,11,13,14],[1,3,5,9,10,11,12],[1,3,6,9,11,13,14],[1,4,5,8,11,12,14],[1,4,6,8,10,12,13],[1,5,6,7,10,13,14],[1,5,7,8,9,10,14],[1,7,8,9,11,12,13],[2,3,5,8,11,13,14],[2,3,7,8,10,12,14],[2,4,5,9,10,12,13],[2,4,7,9,10,11,14],[2,5,6,8,12,13,14],[2,5,6,9,10,11,13],[2,6,7,8,9,11,12],[3,4,5,7,11,12,13],[3,4,6,7,8,9,13],[3,4,6,10,11,12,14],[3,4,8,9,10,13,14],[3,5,6,7,9,12,14],[4,5,6,7,8,10,11]]; G[10237]:=Group([(3,4)(8,9)(10,14)(11,12)]); # Design 10238: autom. group order 2, simple, residual B[10238]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,4,6,9,12,14],[1,2,4,7,11,13,14],[1,3,5,9,11,12,14],[1,3,6,9,10,12,13],[1,4,5,8,10,11,12],[1,4,6,8,11,13,14],[1,5,6,7,10,13,14],[1,5,7,8,9,10,14],[1,7,8,9,11,12,13],[2,3,5,8,12,13,14],[2,3,7,8,10,11,14],[2,4,5,9,10,11,13],[2,4,7,9,10,12,14],[2,5,6,8,12,13,14],[2,5,6,9,10,11,13],[2,6,7,8,9,11,12],[3,4,5,7,11,12,13],[3,4,6,7,8,9,13],[3,4,6,10,11,12,14],[3,4,8,9,10,13,14],[3,5,6,7,9,11,14],[4,5,6,7,8,10,12]]; G[10238]:=Group([(3,4)(8,9)(10,14)(11,12)]); # Design 10239: autom. group order 2, simple, residual B[10239]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,4,6,9,12,13],[1,2,4,7,10,11,14],[1,3,5,9,10,11,12],[1,3,6,9,10,12,14],[1,4,5,8,11,12,13],[1,4,6,8,11,13,14],[1,5,6,7,10,13,14],[1,5,7,8,9,10,13],[1,7,8,9,11,12,14],[2,3,5,8,12,13,14],[2,3,7,8,10,11,13],[2,4,5,9,10,11,14],[2,4,7,9,10,12,13],[2,5,6,8,10,12,14],[2,5,6,9,11,13,14],[2,6,7,8,9,11,12],[3,4,5,7,11,12,14],[3,4,6,7,8,9,14],[3,4,6,10,11,12,13],[3,4,8,9,10,13,14],[3,5,6,7,9,11,13],[4,5,6,7,8,10,12]]; G[10239]:=Group([(3,4)(8,9)(10,13)(11,12)]); # Design 10240: autom. group order 2, simple, residual B[10240]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,4,6,9,12,14],[1,2,4,7,11,13,14],[1,3,5,9,10,11,12],[1,3,6,8,12,13,14],[1,4,5,8,11,12,14],[1,4,6,9,10,11,13],[1,5,6,7,10,13,14],[1,5,7,8,9,10,14],[1,7,8,9,11,12,13],[2,3,5,9,12,13,14],[2,3,7,9,10,11,14],[2,4,5,8,10,11,13],[2,4,7,8,10,12,14],[2,5,6,8,10,12,13],[2,5,6,9,11,13,14],[2,6,7,8,9,11,12],[3,4,5,7,11,12,13],[3,4,6,7,8,9,13],[3,4,6,10,11,12,14],[3,4,8,9,10,13,14],[3,5,6,7,8,11,14],[4,5,6,7,9,10,12]]; G[10240]:=Group([(3,4)(8,9)(10,14)(11,12)]); # Design 10241: autom. group order 2, simple, residual B[10241]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,4,6,9,12,14],[1,2,4,7,11,13,14],[1,3,5,9,11,12,14],[1,3,6,8,11,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,12,13],[1,5,6,7,10,13,14],[1,5,7,8,9,10,14],[1,7,8,9,11,12,13],[2,3,5,9,10,11,13],[2,3,7,9,10,12,14],[2,4,5,8,12,13,14],[2,4,7,8,10,11,14],[2,5,6,8,10,12,13],[2,5,6,9,11,13,14],[2,6,7,8,9,11,12],[3,4,5,7,11,12,13],[3,4,6,7,8,9,13],[3,4,6,10,11,12,14],[3,4,8,9,10,13,14],[3,5,6,7,8,12,14],[4,5,6,7,9,10,11]]; G[10241]:=Group([(3,4)(8,9)(10,14)(11,12)]); # Design 10242: autom. group order 2, simple, residual B[10242]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,4,6,9,12,13],[1,2,4,7,10,11,14],[1,3,5,9,10,11,12],[1,3,6,8,10,13,14],[1,4,5,8,10,12,13],[1,4,6,9,11,12,14],[1,5,6,7,11,13,14],[1,5,7,8,9,11,13],[1,7,8,9,10,12,14],[2,3,5,9,10,13,14],[2,3,7,9,11,12,13],[2,4,5,8,11,12,14],[2,4,7,8,10,11,13],[2,5,6,8,12,13,14],[2,5,6,9,10,11,14],[2,6,7,8,9,10,12],[3,4,5,7,10,12,14],[3,4,6,7,8,9,14],[3,4,6,10,11,12,13],[3,4,8,9,11,13,14],[3,5,6,7,8,11,12],[4,5,6,7,9,10,13]]; G[10242]:=Group([(3,4)(8,9)(10,12)(11,13)]); # Design 10243: autom. group order 2, simple, residual B[10243]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,4,6,9,12,13],[1,2,4,7,10,11,14],[1,3,5,9,10,12,13],[1,3,6,8,11,12,14],[1,4,5,8,10,11,12],[1,4,6,9,10,13,14],[1,5,6,7,11,13,14],[1,5,7,8,9,11,13],[1,7,8,9,10,12,14],[2,3,5,9,11,12,14],[2,3,7,9,10,11,13],[2,4,5,8,10,13,14],[2,4,7,8,11,12,13],[2,5,6,8,12,13,14],[2,5,6,9,10,11,14],[2,6,7,8,9,10,12],[3,4,5,7,10,12,14],[3,4,6,7,8,9,14],[3,4,6,10,11,12,13],[3,4,8,9,11,13,14],[3,5,6,7,8,10,13],[4,5,6,7,9,11,12]]; G[10243]:=Group([(3,4)(8,9)(10,12)(11,13)]); # Design 10244: autom. group order 2, simple, residual B[10244]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,4,6,9,12,14],[1,2,4,7,11,13,14],[1,3,5,9,10,11,12],[1,3,6,8,11,13,14],[1,4,5,8,11,12,14],[1,4,6,9,10,12,13],[1,5,6,7,10,13,14],[1,5,7,8,9,10,14],[1,7,8,9,11,12,13],[2,3,5,9,11,13,14],[2,3,7,8,10,12,14],[2,4,5,8,10,12,13],[2,4,7,9,10,11,14],[2,5,6,8,12,13,14],[2,5,6,9,10,11,13],[2,6,7,8,9,11,12],[3,4,5,7,11,12,13],[3,4,6,7,8,9,13],[3,4,6,10,11,12,14],[3,4,8,9,10,13,14],[3,5,6,7,9,12,14],[4,5,6,7,8,10,11]]; G[10244]:=Group([(3,4)(8,9)(10,14)(11,12)]); # Design 10245: autom. group order 2, simple, residual B[10245]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,4,6,9,12,14],[1,2,4,7,11,13,14],[1,3,5,9,11,12,14],[1,3,6,8,12,13,14],[1,4,5,8,10,11,12],[1,4,6,9,10,11,13],[1,5,6,7,10,13,14],[1,5,7,8,9,10,14],[1,7,8,9,11,12,13],[2,3,5,9,10,12,13],[2,3,7,8,10,11,14],[2,4,5,8,11,13,14],[2,4,7,9,10,12,14],[2,5,6,8,12,13,14],[2,5,6,9,10,11,13],[2,6,7,8,9,11,12],[3,4,5,7,11,12,13],[3,4,6,7,8,9,13],[3,4,6,10,11,12,14],[3,4,8,9,10,13,14],[3,5,6,7,9,11,14],[4,5,6,7,8,10,12]]; G[10245]:=Group([(3,4)(8,9)(10,14)(11,12)]); # Design 10246: autom. group order 2, simple, residual B[10246]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,4,6,9,12,13],[1,2,4,7,10,11,14],[1,3,5,9,10,11,12],[1,3,6,8,12,13,14],[1,4,5,8,10,12,13],[1,4,6,9,10,11,14],[1,5,6,7,11,13,14],[1,5,7,8,9,11,13],[1,7,8,9,10,12,14],[2,3,5,9,11,12,14],[2,3,7,8,10,11,13],[2,4,5,8,10,13,14],[2,4,7,9,11,12,13],[2,5,6,8,11,12,14],[2,5,6,9,10,13,14],[2,6,7,8,9,10,12],[3,4,5,7,10,12,14],[3,4,6,7,8,9,14],[3,4,6,10,11,12,13],[3,4,8,9,11,13,14],[3,5,6,7,9,10,13],[4,5,6,7,8,11,12]]; G[10246]:=Group([(3,4)(8,9)(10,12)(11,13)]); # Design 10247: autom. group order 2, simple, residual B[10247]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,4,6,9,12,13],[1,2,4,7,10,11,14],[1,3,5,9,10,12,13],[1,3,6,8,10,12,14],[1,4,5,8,10,11,13],[1,4,6,9,11,13,14],[1,5,6,7,11,12,14],[1,5,7,8,9,11,12],[1,7,8,9,10,13,14],[2,3,5,8,11,13,14],[2,3,7,9,10,11,12],[2,4,5,9,10,12,14],[2,4,7,8,11,12,13],[2,5,6,8,12,13,14],[2,5,6,9,10,11,14],[2,6,7,8,9,10,13],[3,4,5,7,10,13,14],[3,4,6,7,8,9,14],[3,4,6,10,11,12,13],[3,4,8,9,11,12,14],[3,5,6,7,9,11,13],[4,5,6,7,8,10,12]]; G[10247]:=Group([(3,4)(8,9)(10,13)(11,12)]); # Design 10248: autom. group order 2, simple, residual B[10248]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,4,6,9,12,13],[1,2,4,7,10,11,14],[1,3,5,9,10,11,12],[1,3,6,8,10,12,14],[1,4,5,8,11,12,13],[1,4,6,9,11,13,14],[1,5,6,7,10,13,14],[1,5,7,8,9,10,13],[1,7,8,9,11,12,14],[2,3,5,8,11,13,14],[2,3,7,9,10,12,13],[2,4,5,9,10,12,14],[2,4,7,8,10,11,13],[2,5,6,8,12,13,14],[2,5,6,9,10,11,14],[2,6,7,8,9,11,12],[3,4,5,7,11,12,14],[3,4,6,7,8,9,14],[3,4,6,10,11,12,13],[3,4,8,9,10,13,14],[3,5,6,7,9,11,13],[4,5,6,7,8,10,12]]; G[10248]:=Group([(3,4)(8,9)(10,13)(11,12)]); # Design 10249: autom. group order 2, simple, residual B[10249]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,4,6,9,12,14],[1,2,4,7,11,13,14],[1,3,5,8,10,11,14],[1,3,6,9,10,12,13],[1,4,5,9,10,12,14],[1,4,6,8,11,13,14],[1,5,6,7,11,12,13],[1,5,7,8,9,11,12],[1,7,8,9,10,13,14],[2,3,5,9,11,13,14],[2,3,7,9,11,12,14],[2,4,5,8,10,12,13],[2,4,7,8,10,11,12],[2,5,6,8,12,13,14],[2,5,6,9,10,11,13],[2,6,7,8,9,10,14],[3,4,5,7,10,13,14],[3,4,6,7,8,9,13],[3,4,6,10,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,12,14],[4,5,6,7,9,10,11]]; G[10249]:=Group([(3,4)(8,9)(10,14)(11,12)]); # Design 10250: autom. group order 2, simple, residual B[10250]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,11,12],[1,2,4,6,9,13,14],[1,2,4,7,12,13,14],[1,3,5,8,10,13,14],[1,3,6,9,11,12,13],[1,4,5,9,10,11,13],[1,4,6,8,10,12,14],[1,5,6,7,11,12,14],[1,5,7,8,9,11,14],[1,7,8,9,10,12,13],[2,3,5,9,10,12,14],[2,3,7,9,11,13,14],[2,4,5,8,11,12,13],[2,4,7,8,10,11,14],[2,5,6,8,11,12,13],[2,5,6,9,10,12,14],[2,6,7,8,9,10,13],[3,4,5,7,10,12,13],[3,4,6,7,8,9,12],[3,4,6,10,11,13,14],[3,4,8,9,11,12,14],[3,5,6,7,8,13,14],[4,5,6,7,9,10,11]]; G[10250]:=Group([(3,4)(8,9)(10,13)(11,14)]); # Design 10251: autom. group order 2, simple, residual B[10251]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,4,6,9,12,14],[1,2,4,7,11,13,14],[1,3,5,8,10,11,14],[1,3,6,9,11,13,14],[1,4,5,9,10,12,14],[1,4,6,8,10,12,13],[1,5,6,7,11,12,13],[1,5,7,8,9,11,12],[1,7,8,9,10,13,14],[2,3,5,9,10,12,13],[2,3,7,9,11,12,14],[2,4,5,8,11,13,14],[2,4,7,8,10,11,12],[2,5,6,8,12,13,14],[2,5,6,9,10,11,13],[2,6,7,8,9,10,14],[3,4,5,7,10,13,14],[3,4,6,7,8,9,13],[3,4,6,10,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,12,14],[4,5,6,7,9,10,11]]; G[10251]:=Group([(3,4)(8,9)(10,14)(11,12)]); # Design 10252: autom. group order 2, simple, residual B[10252]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,4,6,9,12,14],[1,2,4,7,11,13,14],[1,3,5,8,10,12,14],[1,3,6,9,12,13,14],[1,4,5,9,10,11,14],[1,4,6,8,10,11,13],[1,5,6,7,11,12,13],[1,5,7,8,9,11,12],[1,7,8,9,10,13,14],[2,3,5,9,10,11,13],[2,3,7,8,11,12,14],[2,4,5,8,12,13,14],[2,4,7,9,10,11,12],[2,5,6,8,11,13,14],[2,5,6,9,10,12,13],[2,6,7,8,9,10,14],[3,4,5,7,10,13,14],[3,4,6,7,8,9,13],[3,4,6,10,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,9,11,14],[4,5,6,7,8,10,12]]; G[10252]:=Group([(3,4)(8,9)(10,14)(11,12)]); # Design 10253: autom. group order 2, simple, residual B[10253]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,4,6,9,12,14],[1,2,4,7,11,13,14],[1,3,5,8,10,12,14],[1,3,6,9,11,13,14],[1,4,5,9,10,11,14],[1,4,6,8,10,12,13],[1,5,6,7,11,12,13],[1,5,7,8,9,11,12],[1,7,8,9,10,13,14],[2,3,5,8,11,13,14],[2,3,7,9,10,11,12],[2,4,5,9,10,12,13],[2,4,7,8,11,12,14],[2,5,6,8,12,13,14],[2,5,6,9,10,11,13],[2,6,7,8,9,10,14],[3,4,5,7,10,13,14],[3,4,6,7,8,9,13],[3,4,6,10,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,9,12,14],[4,5,6,7,8,10,11]]; G[10253]:=Group([(3,4)(8,9)(10,14)(11,12)]); # Design 10254: autom. group order 2, simple, residual B[10254]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,11,12],[1,2,4,6,9,13,14],[1,2,4,7,12,13,14],[1,3,5,8,10,13,14],[1,3,6,9,11,12,13],[1,4,5,9,10,11,13],[1,4,6,8,10,12,14],[1,5,6,7,11,12,14],[1,5,7,8,9,11,14],[1,7,8,9,10,12,13],[2,3,5,8,12,13,14],[2,3,7,9,11,13,14],[2,4,5,9,10,11,12],[2,4,7,8,10,11,14],[2,5,6,8,11,12,13],[2,5,6,9,10,12,14],[2,6,7,8,9,10,13],[3,4,5,7,10,12,13],[3,4,6,7,8,9,12],[3,4,6,10,11,13,14],[3,4,8,9,11,12,14],[3,5,6,7,9,10,14],[4,5,6,7,8,11,13]]; G[10254]:=Group([(3,4)(8,9)(10,13)(11,14)]); # Design 10255: autom. group order 2, simple, residual B[10255]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,4,6,9,12,14],[1,2,4,7,11,13,14],[1,3,5,8,10,11,14],[1,3,6,9,11,13,14],[1,4,5,9,10,12,14],[1,4,6,8,10,12,13],[1,5,6,7,11,12,13],[1,5,7,8,9,11,12],[1,7,8,9,10,13,14],[2,3,5,8,12,13,14],[2,3,7,9,11,12,14],[2,4,5,9,10,11,13],[2,4,7,8,10,11,12],[2,5,6,8,12,13,14],[2,5,6,9,10,11,13],[2,6,7,8,9,10,14],[3,4,5,7,10,13,14],[3,4,6,7,8,9,13],[3,4,6,10,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,9,10,12],[4,5,6,7,8,11,14]]; G[10255]:=Group([(3,4)(8,9)(10,14)(11,12)]); # Design 10256: autom. group order 2, simple, residual B[10256]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,4,6,9,12,14],[1,2,4,7,11,13,14],[1,3,5,8,10,12,14],[1,3,6,8,11,13,14],[1,4,5,9,10,11,14],[1,4,6,9,10,12,13],[1,5,6,7,11,12,13],[1,5,7,8,9,11,12],[1,7,8,9,10,13,14],[2,3,5,9,11,13,14],[2,3,7,9,10,11,12],[2,4,5,8,10,12,13],[2,4,7,8,11,12,14],[2,5,6,8,12,13,14],[2,5,6,9,10,11,13],[2,6,7,8,9,10,14],[3,4,5,7,10,13,14],[3,4,6,7,8,9,13],[3,4,6,10,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,9,12,14],[4,5,6,7,8,10,11]]; G[10256]:=Group([(3,4)(8,9)(10,14)(11,12)]); # Design 10257: autom. group order 2, simple, residual B[10257]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,11,12],[1,2,4,6,9,13,14],[1,2,4,7,12,13,14],[1,3,5,8,10,13,14],[1,3,6,8,12,13,14],[1,4,5,9,10,11,13],[1,4,6,9,10,11,12],[1,5,6,7,11,12,14],[1,5,7,8,9,11,14],[1,7,8,9,10,12,13],[2,3,5,9,11,12,13],[2,3,7,9,11,13,14],[2,4,5,8,10,12,14],[2,4,7,8,10,11,14],[2,5,6,8,11,12,13],[2,5,6,9,10,12,14],[2,6,7,8,9,10,13],[3,4,5,7,10,12,13],[3,4,6,7,8,9,12],[3,4,6,10,11,13,14],[3,4,8,9,11,12,14],[3,5,6,7,9,10,14],[4,5,6,7,8,11,13]]; G[10257]:=Group([(3,4)(8,9)(10,13)(11,14)]); # Design 10258: autom. group order 2, simple, residual B[10258]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,4,6,9,12,14],[1,2,4,7,11,13,14],[1,3,5,8,10,11,14],[1,3,6,8,12,13,14],[1,4,5,9,10,12,14],[1,4,6,9,10,11,13],[1,5,6,7,11,12,13],[1,5,7,8,9,11,12],[1,7,8,9,10,13,14],[2,3,5,9,11,13,14],[2,3,7,9,11,12,14],[2,4,5,8,10,12,13],[2,4,7,8,10,11,12],[2,5,6,8,12,13,14],[2,5,6,9,10,11,13],[2,6,7,8,9,10,14],[3,4,5,7,10,13,14],[3,4,6,7,8,9,13],[3,4,6,10,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,9,10,12],[4,5,6,7,8,11,14]]; G[10258]:=Group([(3,4)(8,9)(10,14)(11,12)]); # Design 10259: autom. group order 2, simple, residual B[10259]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,6,9,13,14],[1,2,4,10,11,13,14],[1,3,5,7,9,11,14],[1,3,6,8,12,13,14],[1,4,5,10,11,12,14],[1,4,6,7,8,11,12],[1,5,6,7,9,10,12],[1,5,8,9,10,11,13],[1,7,8,9,12,13,14],[2,3,5,8,11,12,13],[2,3,7,9,10,12,14],[2,4,5,7,12,13,14],[2,4,7,8,9,11,12],[2,5,6,8,9,10,14],[2,5,6,9,11,12,13],[2,6,7,8,10,11,14],[3,4,5,8,10,12,14],[3,4,6,8,9,11,14],[3,4,6,9,10,12,13],[3,4,7,9,10,11,13],[3,5,6,7,11,13,14],[4,5,6,7,8,10,13]]; G[10259]:=Group([(2,13)(3,8)(4,14)(5,12)(6,9)]); # Design 10260: autom. group order 2, simple, residual B[10260]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,6,9,13,14],[1,2,4,10,11,13,14],[1,3,5,7,9,11,14],[1,3,6,8,12,13,14],[1,4,5,10,11,12,14],[1,4,6,7,8,11,12],[1,5,6,7,9,10,12],[1,5,8,9,10,11,13],[1,7,8,9,12,13,14],[2,3,5,8,11,12,13],[2,3,7,9,10,12,14],[2,4,5,7,12,13,14],[2,4,7,8,9,11,12],[2,5,6,8,9,11,14],[2,5,6,9,10,12,13],[2,6,7,8,10,11,14],[3,4,5,8,10,12,14],[3,4,6,8,9,10,14],[3,4,6,9,11,12,13],[3,4,7,9,10,11,13],[3,5,6,7,11,13,14],[4,5,6,7,8,10,13]]; G[10260]:=Group([(2,13)(3,8)(4,14)(5,12)(6,9)]); # Design 10261: autom. group order 2, simple, residual B[10261]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,4,6,11,12,14],[1,2,4,9,12,13,14],[1,3,5,7,9,11,13],[1,3,6,9,10,12,14],[1,4,5,10,11,13,14],[1,4,6,7,8,11,13],[1,5,6,8,9,10,14],[1,5,7,8,12,13,14],[1,7,8,9,10,11,12],[2,3,5,8,10,13,14],[2,3,7,8,11,12,14],[2,4,5,7,9,10,12],[2,4,8,9,10,11,13],[2,5,6,7,9,11,14],[2,5,6,10,11,12,13],[2,6,7,8,9,13,14],[3,4,5,8,11,12,14],[3,4,6,7,10,13,14],[3,4,6,8,9,12,13],[3,4,7,9,10,11,14],[3,5,6,9,11,12,13],[4,5,6,7,8,10,12]]; G[10261]:=Group([(1,10)(2,7)(3,12)(6,9)]); # Design 10262: autom. group order 2, simple, residual B[10262]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,4,6,12,13,14],[1,2,4,9,11,12,14],[1,3,5,7,9,11,13],[1,3,6,9,10,12,14],[1,4,5,10,11,13,14],[1,4,6,7,8,11,13],[1,5,6,8,9,10,14],[1,5,7,8,12,13,14],[1,7,8,9,10,11,12],[2,3,5,8,10,13,14],[2,3,7,8,11,12,14],[2,4,5,7,9,10,12],[2,4,8,9,10,11,13],[2,5,6,7,9,11,14],[2,5,6,10,11,12,13],[2,6,7,8,9,13,14],[3,4,5,8,11,12,14],[3,4,6,7,10,11,14],[3,4,6,8,9,12,13],[3,4,7,9,10,13,14],[3,5,6,9,11,12,13],[4,5,6,7,8,10,12]]; G[10262]:=Group([(1,10)(2,7)(3,12)(6,9)]); # Design 10263: autom. group order 2, simple, residual B[10263]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,11,12],[1,2,4,6,12,13,14],[1,2,4,10,12,13,14],[1,3,5,10,11,13,14],[1,3,6,7,9,13,14],[1,4,5,7,9,11,13],[1,4,6,8,9,11,14],[1,5,6,8,9,10,12],[1,5,7,8,11,12,13],[1,7,8,9,10,12,14],[2,3,5,9,11,12,14],[2,3,7,8,9,13,14],[2,4,5,7,8,10,14],[2,4,8,9,10,11,13],[2,5,6,7,8,12,13],[2,5,6,9,11,12,14],[2,6,7,9,10,11,13],[3,4,5,9,10,12,13],[3,4,6,7,9,10,12],[3,4,6,8,11,12,13],[3,4,7,8,11,12,14],[3,5,6,8,10,13,14],[4,5,6,7,10,11,14]]; G[10263]:=Group([(1,11)(3,10)(4,9)(5,13)]); # Design 10264: autom. group order 2, simple B[10264]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,11,12],[1,2,4,6,12,13,14],[1,2,4,9,10,12,13],[1,3,5,10,11,13,14],[1,3,6,8,9,12,14],[1,4,5,7,9,10,14],[1,4,6,7,11,13,14],[1,5,6,8,9,11,13],[1,5,7,8,10,12,14],[1,7,8,9,11,12,13],[2,3,5,11,12,13,14],[2,3,7,8,9,13,14],[2,4,5,7,8,11,13],[2,4,8,9,10,11,14],[2,5,6,7,8,12,14],[2,5,6,9,10,12,13],[2,6,7,9,10,11,14],[3,4,5,9,11,12,14],[3,4,6,7,9,11,12],[3,4,6,8,10,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,13],[4,5,6,8,10,11,12]]; G[10264]:=Group([(1,10)(3,11)(4,9)(5,14)]); # Design 10265: autom. group order 2, simple, residual B[10265]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,11,12],[1,2,4,6,12,13,14],[1,2,4,10,12,13,14],[1,3,5,10,11,13,14],[1,3,6,8,9,12,13],[1,4,5,7,9,11,13],[1,4,6,7,9,11,14],[1,5,6,8,9,10,14],[1,5,7,8,11,12,13],[1,7,8,9,10,12,14],[2,3,5,9,11,12,14],[2,3,7,8,9,13,14],[2,4,5,7,8,10,14],[2,4,8,9,10,11,13],[2,5,6,7,8,12,13],[2,5,6,9,11,12,14],[2,6,7,9,10,11,13],[3,4,5,9,10,12,13],[3,4,6,7,9,10,12],[3,4,6,8,11,13,14],[3,4,7,8,11,12,14],[3,5,6,7,10,13,14],[4,5,6,8,10,11,12]]; G[10265]:=Group([(1,11)(3,10)(4,9)(5,13)]); # Design 10266: autom. group order 2, simple, residual B[10266]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,11,12],[1,2,4,6,12,13,14],[1,2,4,10,12,13,14],[1,3,5,10,11,13,14],[1,3,6,8,9,13,14],[1,4,5,7,9,11,13],[1,4,6,7,9,11,14],[1,5,6,8,9,10,12],[1,5,7,8,11,12,13],[1,7,8,9,10,12,14],[2,3,5,9,11,12,14],[2,3,7,8,9,13,14],[2,4,5,7,8,10,14],[2,4,8,9,10,11,13],[2,5,6,7,8,12,13],[2,5,6,9,11,12,14],[2,6,7,9,10,11,13],[3,4,5,9,10,12,13],[3,4,6,7,9,10,12],[3,4,6,8,11,12,13],[3,4,7,8,11,12,14],[3,5,6,7,10,13,14],[4,5,6,8,10,11,14]]; G[10266]:=Group([(1,11)(3,10)(4,9)(5,13)]); # Design 10267: autom. group order 2, simple B[10267]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,11,12],[1,2,4,6,12,13,14],[1,2,4,8,10,13,14],[1,3,5,10,11,13,14],[1,3,6,9,12,13,14],[1,4,5,7,9,11,13],[1,4,6,8,9,11,12],[1,5,7,8,11,12,13],[1,5,7,9,10,12,14],[1,6,7,8,9,10,14],[2,3,5,9,11,12,14],[2,3,7,8,9,13,14],[2,4,5,7,10,12,14],[2,4,9,10,11,12,13],[2,5,6,7,8,12,13],[2,5,6,8,9,11,14],[2,6,7,9,10,11,13],[3,4,5,6,9,10,13],[3,4,6,7,11,12,14],[3,4,7,8,9,10,12],[3,4,7,8,11,13,14],[3,5,6,8,10,12,13],[4,5,6,8,10,11,14]]; G[10267]:=Group([(1,11)(3,10)(4,9)(5,13)(8,12)]); # Design 10268: autom. group order 2, simple B[10268]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,6,11,13,14],[1,2,4,8,12,13,14],[1,3,5,9,10,11,14],[1,3,6,8,9,12,14],[1,4,5,10,11,13,14],[1,4,6,7,9,10,12],[1,5,7,8,10,12,14],[1,5,7,9,11,12,13],[1,6,7,8,9,11,13],[2,3,5,7,11,12,13],[2,3,9,10,12,13,14],[2,4,5,7,9,12,14],[2,4,7,8,9,10,11],[2,5,6,8,9,11,14],[2,5,6,8,10,11,12],[2,6,7,9,10,13,14],[3,4,5,6,9,10,13],[3,4,6,7,11,12,14],[3,4,7,8,10,11,14],[3,4,8,9,11,12,13],[3,5,6,7,8,13,14],[4,5,6,8,10,12,13]]; G[10268]:=Group([(1,14)(3,9)(4,13)(5,10)(8,12)]); # Design 10269: autom. group order 2, simple, residual B[10269]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,11,12],[1,2,4,6,12,13,14],[1,2,4,10,12,13,14],[1,3,5,7,9,13,14],[1,3,6,8,9,13,14],[1,4,5,8,9,10,12],[1,4,7,9,10,11,13],[1,5,6,7,11,12,14],[1,5,6,8,10,11,13],[1,7,8,9,11,12,14],[2,3,5,9,11,12,13],[2,3,7,9,10,12,14],[2,4,5,7,8,11,14],[2,4,6,8,9,11,14],[2,5,6,9,11,12,13],[2,5,7,8,10,13,14],[2,6,7,8,9,10,13],[3,4,5,10,11,13,14],[3,4,6,7,8,12,13],[3,4,6,9,10,11,14],[3,4,7,8,11,12,13],[3,5,6,8,10,12,14],[4,5,6,7,9,10,12]]; G[10269]:=Group([(1,14)(2,4)(3,11)(5,8)(7,9)(12,13)]); # Design 10270: autom. group order 2, simple, residual B[10270]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,11,12],[1,2,4,6,12,13,14],[1,2,4,10,12,13,14],[1,3,5,7,8,13,14],[1,3,6,8,9,13,14],[1,4,5,9,10,11,13],[1,4,7,8,9,10,12],[1,5,6,7,11,12,14],[1,5,6,9,10,11,13],[1,7,8,9,11,12,14],[2,3,5,9,10,12,14],[2,3,7,9,11,12,13],[2,4,5,7,9,11,14],[2,4,6,8,9,11,14],[2,5,6,8,11,12,13],[2,5,7,8,10,13,14],[2,6,7,8,9,10,13],[3,4,5,8,11,12,13],[3,4,6,7,9,12,13],[3,4,6,8,10,11,14],[3,4,7,10,11,13,14],[3,5,6,9,10,12,14],[4,5,6,7,8,10,12]]; G[10270]:=Group([(1,14)(2,4)(3,11)(5,9)(7,8)(12,13)]); # Design 10271: autom. group order 2, simple B[10271]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,4,6,12,13,14],[1,2,4,7,10,11,14],[1,3,5,9,10,11,14],[1,3,6,8,9,12,14],[1,4,5,9,10,12,13],[1,4,7,8,9,11,12],[1,5,6,7,11,12,13],[1,5,6,8,11,13,14],[1,7,8,9,10,13,14],[2,3,5,9,11,12,13],[2,3,7,9,11,13,14],[2,4,5,8,10,13,14],[2,4,6,8,9,11,13],[2,5,6,9,10,12,14],[2,5,7,8,11,12,14],[2,6,7,8,9,10,12],[3,4,5,7,8,12,14],[3,4,6,7,9,13,14],[3,4,6,10,11,12,14],[3,4,8,10,11,12,13],[3,5,6,7,8,10,13],[4,5,6,7,9,10,11]]; G[10271]:=Group([(1,10)(2,11)(5,12)(7,14)(9,13)]); # Design 10272: autom. group order 2, simple, residual B[10272]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,4,6,11,12,13],[1,2,4,9,11,12,14],[1,3,5,7,8,11,14],[1,3,6,9,10,12,14],[1,4,5,10,11,13,14],[1,4,7,8,9,13,14],[1,5,6,7,12,13,14],[1,5,6,8,9,10,13],[1,7,8,9,10,11,12],[2,3,5,9,10,13,14],[2,3,7,8,12,13,14],[2,4,5,7,9,10,12],[2,4,6,8,10,13,14],[2,5,6,7,9,11,14],[2,5,8,10,11,12,14],[2,6,7,8,9,11,13],[3,4,5,8,11,12,13],[3,4,6,7,10,11,14],[3,4,6,8,9,12,14],[3,4,7,9,10,11,13],[3,5,6,9,11,12,13],[4,5,6,7,8,10,12]]; G[10272]:=Group([(1,10)(2,7)(3,12)(6,9)]); # Design 10273: autom. group order 2, simple, residual B[10273]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,4,6,11,12,14],[1,2,4,9,12,13,14],[1,3,5,7,8,13,14],[1,3,6,9,10,12,14],[1,4,5,10,11,13,14],[1,4,7,8,9,11,13],[1,5,6,7,11,12,13],[1,5,6,8,9,10,14],[1,7,8,9,10,11,12],[2,3,5,9,10,11,13],[2,3,7,8,11,12,14],[2,4,5,7,9,10,12],[2,4,6,8,10,11,13],[2,5,6,7,9,11,14],[2,5,8,10,12,13,14],[2,6,7,8,9,13,14],[3,4,5,8,11,12,14],[3,4,6,7,10,13,14],[3,4,6,8,9,12,13],[3,4,7,9,10,11,14],[3,5,6,9,11,12,13],[4,5,6,7,8,10,12]]; G[10273]:=Group([(1,10)(2,7)(3,12)(6,9)]); # Design 10274: autom. group order 2, simple, residual B[10274]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,4,6,12,13,14],[1,2,4,9,11,12,14],[1,3,5,7,8,13,14],[1,3,6,9,10,12,14],[1,4,5,10,11,13,14],[1,4,7,8,9,11,13],[1,5,6,7,11,12,13],[1,5,6,8,9,10,14],[1,7,8,9,10,11,12],[2,3,5,9,10,11,13],[2,3,7,8,11,12,14],[2,4,5,7,9,10,12],[2,4,6,8,10,11,13],[2,5,6,7,9,11,14],[2,5,8,10,12,13,14],[2,6,7,8,9,13,14],[3,4,5,8,11,12,14],[3,4,6,7,10,11,14],[3,4,6,8,9,12,13],[3,4,7,9,10,13,14],[3,5,6,9,11,12,13],[4,5,6,7,8,10,12]]; G[10274]:=Group([(1,10)(2,7)(3,12)(6,9)]); # Design 10275: autom. group order 2, simple B[10275]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,6,9,11,14],[1,2,4,10,12,13,14],[1,3,5,8,11,12,14],[1,3,6,7,9,12,14],[1,4,5,8,9,12,13],[1,4,7,9,10,11,13],[1,5,6,7,11,13,14],[1,5,6,8,10,11,13],[1,7,8,9,10,12,14],[2,3,5,9,10,13,14],[2,3,7,9,11,12,13],[2,4,5,10,11,12,14],[2,4,6,7,8,13,14],[2,5,6,7,8,10,12],[2,5,7,8,9,11,14],[2,6,8,9,11,12,13],[3,4,5,7,11,12,13],[3,4,6,8,9,10,11],[3,4,6,8,12,13,14],[3,4,7,8,10,11,14],[3,5,6,9,10,13,14],[4,5,6,7,9,10,12]]; G[10275]:=Group([(1,11)(3,9)(4,12)(5,13)(7,8)(10,14)]); # Design 10276: autom. group order 2, simple, residual B[10276]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,6,10,13,14],[1,2,4,9,12,13,14],[1,3,5,7,11,12,13],[1,3,6,7,8,9,14],[1,4,5,8,9,10,12],[1,4,7,10,11,12,14],[1,5,6,7,9,11,13],[1,5,6,8,12,13,14],[1,7,8,9,10,11,14],[2,3,5,9,10,11,14],[2,3,7,8,12,13,14],[2,4,5,7,8,11,14],[2,4,6,7,8,11,12],[2,5,6,9,11,12,14],[2,5,7,9,10,12,13],[2,6,7,8,9,10,13],[3,4,5,7,10,13,14],[3,4,6,7,9,10,12],[3,4,6,9,11,13,14],[3,4,8,9,11,12,13],[3,5,6,8,10,12,14],[4,5,6,8,10,11,13]]; G[10276]:=Group([(2,11)(3,10)(4,7)(5,14)(6,12)]); # Design 10277: autom. group order 2, simple B[10277]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,9,10,11],[1,2,4,6,10,13,14],[1,2,4,8,12,13,14],[1,3,5,7,11,12,13],[1,3,6,7,9,13,14],[1,4,5,9,10,12,13],[1,4,7,10,11,12,14],[1,5,6,7,8,11,13],[1,5,6,8,9,12,14],[1,7,8,9,10,11,14],[2,3,5,10,11,13,14],[2,3,7,9,12,13,14],[2,4,5,7,9,11,14],[2,4,6,7,8,11,12],[2,5,6,9,11,12,14],[2,5,7,8,10,12,13],[2,6,7,8,9,10,13],[3,4,5,7,8,10,14],[3,4,6,7,9,10,12],[3,4,6,8,11,13,14],[3,4,8,9,11,12,13],[3,5,6,8,10,12,14],[4,5,6,9,10,11,13]]; G[10277]:=Group([(2,11)(3,10)(4,7)(5,14)(6,12)]); # Design 10278: autom. group order 2, simple, residual B[10278]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,11,12,13],[1,2,4,6,12,13,14],[1,2,4,9,10,12,14],[1,3,5,8,9,12,13],[1,3,6,7,11,12,14],[1,4,5,7,10,13,14],[1,4,7,8,9,11,13],[1,5,6,7,8,10,14],[1,5,6,9,10,11,13],[1,7,8,9,11,12,14],[2,3,5,7,9,11,14],[2,3,7,9,10,13,14],[2,4,5,8,11,12,14],[2,4,6,7,9,11,13],[2,5,6,7,8,12,13],[2,5,8,10,11,13,14],[2,6,7,8,9,10,12],[3,4,5,7,10,11,12],[3,4,6,8,9,10,14],[3,4,6,8,11,13,14],[3,4,7,8,10,12,13],[3,5,6,9,12,13,14],[4,5,6,9,10,11,12]]; G[10278]:=Group([(2,14)(3,7)(4,12)(5,11)]); # Design 10279: autom. group order 2, simple, residual B[10279]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,11,12,13],[1,2,4,6,12,13,14],[1,2,4,9,10,12,14],[1,3,5,8,9,12,13],[1,3,6,7,11,12,14],[1,4,5,7,10,13,14],[1,4,7,8,9,11,13],[1,5,6,7,8,10,14],[1,5,6,9,10,11,13],[1,7,8,9,11,12,14],[2,3,5,7,9,11,14],[2,3,7,9,10,13,14],[2,4,5,8,11,12,14],[2,4,6,7,9,11,13],[2,5,6,8,11,13,14],[2,5,7,8,10,12,13],[2,6,7,8,9,10,12],[3,4,5,7,10,11,12],[3,4,6,7,8,12,13],[3,4,6,8,9,10,14],[3,4,8,10,11,13,14],[3,5,6,9,12,13,14],[4,5,6,9,10,11,12]]; G[10279]:=Group([(2,14)(3,7)(4,12)(5,11)]); # Design 10280: autom. group order 2, simple, residual B[10280]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,11,12,13],[1,2,4,6,9,12,14],[1,2,4,8,12,13,14],[1,3,5,9,10,12,13],[1,3,6,7,11,12,14],[1,4,5,7,10,13,14],[1,4,7,9,10,11,13],[1,5,6,7,8,10,14],[1,5,6,8,9,11,13],[1,7,8,9,11,12,14],[2,3,5,7,11,13,14],[2,3,7,8,9,13,14],[2,4,5,10,11,12,14],[2,4,6,7,9,11,13],[2,5,6,9,10,11,14],[2,5,7,8,9,10,12],[2,6,7,8,10,12,13],[3,4,5,7,8,11,12],[3,4,6,7,9,10,12],[3,4,6,8,10,13,14],[3,4,8,9,10,11,14],[3,5,6,9,12,13,14],[4,5,6,8,11,12,13]]; G[10280]:=Group([(2,14)(3,7)(4,12)(5,11)]); # Design 10281: autom. group order 2, simple B[10281]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,4,6,11,12,14],[1,2,4,9,11,13,14],[1,3,5,8,11,12,14],[1,3,6,9,10,13,14],[1,4,5,7,12,13,14],[1,4,7,9,10,12,13],[1,5,6,8,9,10,14],[1,5,7,8,10,11,13],[1,6,7,8,9,11,12],[2,3,5,9,11,12,13],[2,3,7,8,9,13,14],[2,4,5,7,8,10,14],[2,4,6,8,10,11,13],[2,5,6,10,12,13,14],[2,5,7,9,10,11,12],[2,6,7,8,9,12,14],[3,4,5,6,9,10,12],[3,4,6,7,8,12,13],[3,4,7,9,10,11,14],[3,4,8,10,11,12,14],[3,5,6,7,11,13,14],[4,5,6,8,9,11,13]]; G[10281]:=Group([(1,11)(2,14)(5,10)(6,12)(7,8)]); # Design 10282: autom. group order 2, simple B[10282]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,4,6,11,12,14],[1,2,4,9,11,13,14],[1,3,5,8,11,12,14],[1,3,6,8,9,13,14],[1,4,5,7,12,13,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,12],[1,5,7,8,10,11,13],[1,6,7,8,9,10,14],[2,3,5,9,10,13,14],[2,3,7,9,11,12,13],[2,4,5,7,8,10,14],[2,4,6,8,10,11,13],[2,5,6,9,10,12,14],[2,5,7,8,9,11,12],[2,6,7,8,12,13,14],[3,4,5,6,10,12,13],[3,4,6,7,8,9,12],[3,4,7,9,10,11,14],[3,4,8,10,11,12,14],[3,5,6,7,11,13,14],[4,5,6,8,9,11,13]]; G[10282]:=Group([(1,11)(2,14)(5,10)(6,12)(7,8)]); # Design 10283: autom. group order 2, simple, residual B[10283]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,4,6,11,12,14],[1,2,4,9,12,13,14],[1,3,5,9,10,11,13],[1,3,6,8,12,13,14],[1,4,5,7,8,10,12],[1,4,7,8,9,11,14],[1,5,6,9,10,13,14],[1,5,7,10,11,12,14],[1,6,7,8,9,11,13],[2,3,5,8,9,11,14],[2,3,7,9,10,12,14],[2,4,5,10,11,13,14],[2,4,6,7,9,10,13],[2,5,6,7,8,13,14],[2,5,7,8,11,12,13],[2,6,8,9,10,11,12],[3,4,5,6,11,12,13],[3,4,6,8,10,11,14],[3,4,7,8,10,13,14],[3,4,7,9,11,12,13],[3,5,6,7,9,12,14],[4,5,6,8,9,10,12]]; G[10283]:=Group([(1,8)(2,10)(3,12)(7,9)]); # Design 10284: autom. group order 2, simple B[10284]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,6,11,13,14],[1,2,4,9,11,12,14],[1,3,5,7,11,12,14],[1,3,6,9,10,12,13],[1,4,5,7,9,10,14],[1,4,8,10,12,13,14],[1,5,6,8,9,11,13],[1,5,7,8,11,12,13],[1,6,7,8,9,10,14],[2,3,5,8,10,12,14],[2,3,8,9,11,13,14],[2,4,5,9,10,12,13],[2,4,6,7,8,10,11],[2,5,6,7,12,13,14],[2,5,7,9,10,11,13],[2,6,7,8,9,12,14],[3,4,5,6,8,13,14],[3,4,6,7,9,12,13],[3,4,7,8,9,11,12],[3,4,7,10,11,13,14],[3,5,6,9,10,11,14],[4,5,6,8,10,11,12]]; G[10284]:=Group([(2,4)(3,14)(5,11)(6,9)(7,12)(8,13)]); # Design 10285: autom. group order 2, simple, residual B[10285]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,11],[1,2,4,6,10,13,14],[1,2,4,9,11,12,13],[1,3,5,7,11,13,14],[1,3,6,8,9,12,14],[1,4,5,9,10,12,14],[1,4,7,8,10,12,14],[1,5,6,8,11,13,14],[1,5,7,8,9,10,13],[1,6,7,9,11,12,13],[2,3,5,10,12,13,14],[2,3,7,9,12,13,14],[2,4,5,8,11,12,13],[2,4,6,7,8,13,14],[2,5,6,7,8,9,12],[2,5,7,9,10,11,14],[2,6,8,9,10,11,14],[3,4,5,6,9,11,14],[3,4,6,7,9,10,13],[3,4,7,8,11,12,14],[3,4,8,9,10,11,13],[3,5,6,8,10,12,13],[4,5,6,7,10,11,12]]; G[10285]:=Group([(1,10)(3,11)(4,14)(5,9)(7,8)]); # Design 10286: autom. group order 2, simple, residual B[10286]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,4,6,12,13,14],[1,2,4,8,11,12,14],[1,3,5,9,11,12,13],[1,3,6,7,9,11,14],[1,4,5,7,10,11,12],[1,4,7,8,9,13,14],[1,5,6,7,9,10,14],[1,5,8,10,11,13,14],[1,6,8,9,10,12,13],[2,3,5,9,12,13,14],[2,3,7,10,11,13,14],[2,4,5,9,10,11,14],[2,4,6,9,10,11,13],[2,5,6,7,8,13,14],[2,5,7,8,9,10,12],[2,6,7,8,9,11,12],[3,4,5,6,8,10,13],[3,4,6,9,10,12,14],[3,4,7,8,9,11,13],[3,4,7,8,10,12,14],[3,5,6,8,11,12,14],[4,5,6,7,11,12,13]]; G[10286]:=Group([(1,14)(2,12)(5,10)(7,9)]); # Design 10287: autom. group order 2, simple B[10287]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,6,11,13,14],[1,2,4,8,12,13,14],[1,3,5,9,11,12,13],[1,3,6,7,9,11,14],[1,4,5,7,9,10,14],[1,4,8,9,10,11,13],[1,5,6,7,10,12,13],[1,5,8,10,11,12,14],[1,6,7,8,9,12,14],[2,3,5,9,12,13,14],[2,3,7,8,10,11,14],[2,4,5,7,11,12,14],[2,4,6,9,10,11,12],[2,5,6,8,9,10,14],[2,5,7,9,10,11,13],[2,6,7,8,9,12,13],[3,4,5,6,8,10,12],[3,4,6,9,10,13,14],[3,4,7,8,9,11,12],[3,4,7,10,12,13,14],[3,5,6,8,11,13,14],[4,5,6,7,8,11,13]]; G[10287]:=Group([(1,14)(2,13)(5,10)(7,9)(8,12)]); # Design 10288: autom. group order 2, simple, residual B[10288]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,6,11,13,14],[1,2,4,9,11,12,14],[1,3,5,10,11,12,13],[1,3,6,7,9,12,14],[1,4,5,7,9,10,14],[1,4,8,10,12,13,14],[1,5,6,8,9,11,13],[1,5,7,8,10,11,14],[1,6,7,8,9,12,13],[2,3,5,7,12,13,14],[2,3,8,9,11,13,14],[2,4,5,9,10,12,13],[2,4,6,7,8,10,11],[2,5,6,8,10,12,14],[2,5,7,8,9,11,12],[2,6,7,9,10,13,14],[3,4,5,6,8,13,14],[3,4,6,8,9,10,12],[3,4,7,8,11,12,14],[3,4,7,9,10,11,13],[3,5,6,9,10,11,14],[4,5,6,7,11,12,13]]; G[10288]:=Group([(2,4)(3,14)(5,11)(6,9)(7,12)(8,13)]); # Design 10289: autom. group order 2, simple, residual B[10289]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,4,6,10,11,13],[1,2,4,8,10,12,14],[1,3,5,9,11,13,14],[1,3,6,7,9,11,12],[1,4,5,9,10,12,13],[1,4,7,8,11,12,14],[1,5,6,7,12,13,14],[1,5,7,8,9,10,11],[1,6,8,9,10,13,14],[2,3,5,10,11,13,14],[2,3,7,9,10,12,14],[2,4,5,9,11,12,14],[2,4,6,7,9,13,14],[2,5,6,7,8,9,10],[2,5,7,8,11,12,13],[2,6,8,9,11,12,13],[3,4,5,6,8,12,13],[3,4,6,8,9,11,14],[3,4,7,8,10,11,13],[3,4,7,9,10,12,13],[3,5,6,8,10,12,14],[4,5,6,7,10,11,14]]; G[10289]:=Group([(1,11)(3,12)(4,13)(5,8)(7,9)]); # Design 10290: autom. group order 2, simple B[10290]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,11,13],[1,2,4,9,12,13,14],[1,3,5,9,10,11,13],[1,3,6,7,9,12,14],[1,4,5,10,11,12,14],[1,4,7,8,10,11,14],[1,5,6,8,9,11,12],[1,5,7,8,12,13,14],[1,6,7,8,9,10,13],[2,3,5,8,9,10,14],[2,3,7,8,11,12,13],[2,4,5,7,8,10,12],[2,4,6,7,9,11,14],[2,5,6,10,11,13,14],[2,5,7,9,11,12,13],[2,6,8,9,10,12,14],[3,4,5,6,12,13,14],[3,4,6,8,10,12,13],[3,4,7,9,10,11,12],[3,4,8,9,11,13,14],[3,5,6,7,8,11,14],[4,5,6,7,9,10,13]]; G[10290]:=Group([(1,14)(3,9)(4,10)(5,8)(7,12)]); # Design 10291: autom. group order 2, simple, residual B[10291]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,6,11,13,14],[1,2,4,8,9,12,14],[1,3,5,9,11,13,14],[1,3,6,9,10,12,14],[1,4,5,7,10,11,12],[1,4,7,9,10,13,14],[1,5,6,7,8,10,14],[1,5,8,9,11,12,13],[1,6,7,8,11,12,13],[2,3,5,7,12,13,14],[2,3,8,10,11,13,14],[2,4,5,10,11,12,14],[2,4,6,7,9,11,13],[2,5,6,9,10,12,13],[2,5,7,8,9,10,11],[2,6,7,8,9,12,14],[3,4,5,6,8,12,13],[3,4,6,8,9,10,11],[3,4,7,8,11,12,14],[3,4,7,9,10,12,13],[3,5,6,7,9,11,14],[4,5,6,8,10,13,14]]; G[10291]:=Group([(2,11)(3,12)(4,13)(5,8)]); # Design 10292: autom. group order 2, simple B[10292]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,6,12,13,14],[1,2,4,9,10,13,14],[1,3,5,7,10,12,13],[1,3,6,7,8,12,14],[1,4,5,7,8,11,14],[1,4,7,9,11,12,13],[1,5,6,8,9,11,13],[1,5,9,10,11,12,14],[1,6,7,8,9,10,14],[2,3,5,7,9,13,14],[2,3,8,9,11,12,14],[2,4,5,8,10,12,14],[2,4,6,7,9,11,12],[2,5,6,7,10,11,14],[2,5,7,8,11,12,13],[2,6,7,8,9,10,13],[3,4,5,6,9,10,11],[3,4,6,8,11,13,14],[3,4,7,8,9,10,12],[3,4,7,10,11,13,14],[3,5,6,9,12,13,14],[4,5,6,8,10,12,13]]; G[10292]:=Group([(1,14)(2,13)(5,11)(7,8)(9,10)]); # Design 10293: autom. group order 2, simple, residual B[10293]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,9,10,13],[1,2,4,6,7,11,13],[1,2,4,10,12,13,14],[1,3,5,7,10,11,14],[1,3,6,8,11,12,14],[1,4,5,8,12,13,14],[1,4,7,8,9,11,14],[1,5,6,9,11,13,14],[1,5,7,9,10,12,13],[1,6,7,8,9,10,12],[2,3,5,7,9,12,14],[2,3,9,11,12,13,14],[2,4,5,8,10,11,12],[2,4,7,9,10,11,14],[2,5,6,7,8,12,14],[2,5,6,8,9,11,13],[2,6,7,8,10,13,14],[3,4,5,6,10,13,14],[3,4,6,7,9,12,13],[3,4,6,8,9,10,14],[3,4,7,8,11,12,13],[3,5,7,8,10,11,13],[4,5,6,9,10,11,12]]; G[10293]:=Group([(1,14)(3,7)(4,12)(6,9)]); # Design 10294: autom. group order 2, simple, residual B[10294]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,6,7,13,14],[1,2,4,9,10,12,13],[1,3,5,7,10,11,14],[1,3,6,8,9,13,14],[1,4,5,9,10,12,14],[1,4,7,11,12,13,14],[1,5,6,8,10,12,14],[1,5,7,8,9,11,13],[1,6,7,8,9,11,12],[2,3,5,11,12,13,14],[2,3,7,8,9,12,14],[2,4,5,7,8,11,12],[2,4,8,9,10,11,14],[2,5,6,7,9,10,13],[2,5,6,8,12,13,14],[2,6,7,9,10,11,14],[3,4,5,6,9,11,14],[3,4,6,7,8,10,12],[3,4,6,9,11,12,13],[3,4,7,8,10,13,14],[3,5,7,9,10,12,13],[4,5,6,8,10,11,13]]; G[10294]:=Group([(1,10)(3,11)(4,9)(5,14)]); # Design 10295: autom. group order 2, simple, residual B[10295]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,6,7,13,14],[1,2,4,10,12,13,14],[1,3,5,7,10,11,14],[1,3,6,8,9,13,14],[1,4,5,9,11,12,14],[1,4,7,9,11,12,13],[1,5,6,8,11,12,14],[1,5,7,8,9,10,13],[1,6,7,8,9,10,12],[2,3,5,9,11,12,13],[2,3,7,8,9,12,14],[2,4,5,7,8,10,12],[2,4,8,9,10,11,14],[2,5,6,7,9,11,13],[2,5,6,8,12,13,14],[2,6,7,9,10,11,14],[3,4,5,6,9,10,14],[3,4,6,7,8,11,12],[3,4,6,9,10,12,13],[3,4,7,8,11,13,14],[3,5,7,10,12,13,14],[4,5,6,8,10,11,13]]; G[10295]:=Group([(1,11)(3,10)(4,9)(5,14)]); # Design 10296: autom. group order 2, simple, residual B[10296]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,6,7,13,14],[1,2,4,10,12,13,14],[1,3,5,7,10,11,14],[1,3,6,8,9,13,14],[1,4,5,9,11,12,14],[1,4,7,8,9,11,13],[1,5,6,8,11,12,14],[1,5,7,9,10,12,13],[1,6,7,8,9,10,12],[2,3,5,9,11,12,13],[2,3,7,8,9,12,14],[2,4,5,7,8,10,12],[2,4,8,9,10,11,14],[2,5,6,7,9,11,13],[2,5,6,8,12,13,14],[2,6,7,9,10,11,14],[3,4,5,6,9,10,14],[3,4,6,7,8,11,12],[3,4,6,9,10,12,13],[3,4,7,11,12,13,14],[3,5,7,8,10,13,14],[4,5,6,8,10,11,13]]; G[10296]:=Group([(1,11)(3,10)(4,9)(5,14)]); # Design 10297: autom. group order 2, simple, residual B[10297]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,6,7,11,13],[1,2,4,9,12,13,14],[1,3,5,7,10,13,14],[1,3,6,8,9,12,14],[1,4,5,8,9,10,11],[1,4,7,9,10,11,12],[1,5,6,8,11,12,14],[1,5,7,11,12,13,14],[1,6,7,8,9,10,13],[2,3,5,9,11,12,13],[2,3,7,8,10,11,12],[2,4,5,7,8,12,14],[2,4,8,10,11,13,14],[2,5,6,7,9,10,14],[2,5,6,9,10,11,14],[2,6,7,8,9,12,13],[3,4,5,6,10,12,13],[3,4,6,7,8,11,14],[3,4,6,9,11,13,14],[3,4,7,9,10,12,14],[3,5,7,8,9,11,13],[4,5,6,8,10,12,13]]; G[10297]:=Group([(2,12)(3,11)(4,14)(7,8)(9,13)]); # Design 10298: autom. group order 2, simple, residual B[10298]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,6,7,11,13],[1,2,4,9,12,13,14],[1,3,5,7,10,13,14],[1,3,6,8,9,12,14],[1,4,5,8,9,10,11],[1,4,7,9,10,11,12],[1,5,6,8,11,12,14],[1,5,7,11,12,13,14],[1,6,7,8,9,10,13],[2,3,5,9,11,12,13],[2,3,7,8,10,11,12],[2,4,5,7,8,12,14],[2,4,8,10,11,13,14],[2,5,6,7,9,10,14],[2,5,6,9,10,12,13],[2,6,7,8,9,11,14],[3,4,5,6,10,11,14],[3,4,6,7,8,12,13],[3,4,6,9,11,13,14],[3,4,7,9,10,12,14],[3,5,7,8,9,11,13],[4,5,6,8,10,12,13]]; G[10298]:=Group([(2,12)(3,11)(4,14)(7,8)(9,13)]); # Design 10299: autom. group order 2, simple, residual B[10299]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,12,13,14],[1,2,4,6,7,12,13],[1,2,4,9,11,12,14],[1,3,5,7,10,13,14],[1,3,6,8,9,12,14],[1,4,5,10,11,12,14],[1,4,7,8,9,11,13],[1,5,6,8,9,10,13],[1,5,7,8,11,12,13],[1,6,7,9,10,11,14],[2,3,5,9,11,12,13],[2,3,7,9,10,11,13],[2,4,5,7,8,10,14],[2,4,8,9,10,13,14],[2,5,6,7,9,11,14],[2,5,6,8,10,11,12],[2,6,7,8,12,13,14],[3,4,5,6,11,13,14],[3,4,6,7,9,10,12],[3,4,6,8,11,13,14],[3,4,7,8,10,11,12],[3,5,7,8,9,12,14],[4,5,6,9,10,12,13]]; G[10299]:=Group([(1,9)(2,10)(3,13)(4,6)(7,12)(11,14)]); # Design 10300: autom. group order 2, simple, residual B[10300]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,6,7,11,13],[1,2,4,9,12,13,14],[1,3,5,9,10,11,13],[1,3,6,8,9,12,14],[1,4,5,7,8,10,14],[1,4,7,9,10,11,12],[1,5,6,8,11,12,14],[1,5,7,11,12,13,14],[1,6,7,8,9,10,13],[2,3,5,7,12,13,14],[2,3,7,8,10,11,12],[2,4,5,8,9,11,12],[2,4,8,10,11,13,14],[2,5,6,7,9,10,14],[2,5,6,9,10,11,14],[2,6,7,8,9,12,13],[3,4,5,6,10,12,13],[3,4,6,7,8,11,14],[3,4,6,9,11,13,14],[3,4,7,9,10,12,14],[3,5,7,8,9,11,13],[4,5,6,8,10,12,13]]; G[10300]:=Group([(2,12)(3,11)(4,14)(7,8)(9,13)]); # Design 10301: autom. group order 2, simple B[10301]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,6,7,11,13],[1,2,4,9,12,13,14],[1,3,5,9,10,11,13],[1,3,6,8,9,12,14],[1,4,5,7,8,10,14],[1,4,7,9,10,11,12],[1,5,6,8,11,12,14],[1,5,7,11,12,13,14],[1,6,7,8,9,10,13],[2,3,5,7,12,13,14],[2,3,7,8,10,11,12],[2,4,5,8,9,11,12],[2,4,8,10,11,13,14],[2,5,6,7,9,10,14],[2,5,6,9,10,12,13],[2,6,7,8,9,11,14],[3,4,5,6,10,11,14],[3,4,6,7,8,12,13],[3,4,6,9,11,13,14],[3,4,7,9,10,12,14],[3,5,7,8,9,11,13],[4,5,6,8,10,12,13]]; G[10301]:=Group([(2,12)(3,11)(4,14)(7,8)(9,13)]); # Design 10302: autom. group order 2, simple B[10302]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,12,13,14],[1,2,4,6,7,12,13],[1,2,4,9,11,12,14],[1,3,5,10,11,12,13],[1,3,6,8,9,12,14],[1,4,5,7,10,11,14],[1,4,7,8,9,11,13],[1,5,6,8,9,10,13],[1,5,7,8,12,13,14],[1,6,7,9,10,11,14],[2,3,5,7,9,13,14],[2,3,7,9,10,11,13],[2,4,5,8,10,11,12],[2,4,8,9,10,13,14],[2,5,6,7,8,10,14],[2,5,6,9,11,12,14],[2,6,7,8,11,12,13],[3,4,5,6,11,13,14],[3,4,6,7,9,10,12],[3,4,6,8,11,13,14],[3,4,7,8,10,12,14],[3,5,7,8,9,11,12],[4,5,6,9,10,12,13]]; G[10302]:=Group([(1,9)(2,10)(3,13)(4,6)(7,12)(11,14)]); # Design 10303: autom. group order 2, simple, residual B[10303]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,11,12,13],[1,2,4,9,10,11,14],[1,3,5,6,8,13,14],[1,3,6,7,9,11,12],[1,4,5,11,12,13,14],[1,4,6,7,8,12,14],[1,5,6,8,9,10,13],[1,5,7,9,10,11,14],[1,7,8,9,10,12,13],[2,3,5,10,12,13,14],[2,3,7,8,9,12,14],[2,4,5,7,9,12,13],[2,4,6,8,9,10,14],[2,5,6,7,9,11,13],[2,5,6,8,10,11,12],[2,6,7,8,11,13,14],[3,4,5,7,8,10,11],[3,4,6,9,10,12,13],[3,4,6,9,11,13,14],[3,4,7,8,10,11,13],[3,5,8,9,11,12,14],[4,5,6,7,10,12,14]]; G[10303]:=Group([(1,2)(3,4)(6,9)(7,8)(10,11)(12,14)]); # Design 10304: autom. group order 2, simple, residual B[10304]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,7,11,12,13],[1,2,4,9,10,11,14],[1,3,5,6,7,13,14],[1,3,6,8,9,11,12],[1,4,5,10,12,13,14],[1,4,6,7,8,12,14],[1,5,6,8,9,10,13],[1,5,7,9,10,11,12],[1,7,8,9,11,13,14],[2,3,5,11,12,13,14],[2,3,7,8,9,12,14],[2,4,5,8,9,12,13],[2,4,6,7,9,10,14],[2,5,6,7,9,11,13],[2,5,6,8,10,11,14],[2,6,7,8,10,12,13],[3,4,5,7,8,10,11],[3,4,6,9,10,12,13],[3,4,6,9,11,13,14],[3,4,7,8,10,11,13],[3,5,7,9,10,12,14],[4,5,6,8,11,12,14]]; G[10304]:=Group([(1,2)(3,4)(6,9)(7,8)(10,11)(12,14)]); # Design 10305: autom. group order 2, simple, residual B[10305]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,7,11,12,13],[1,2,4,9,10,11,14],[1,3,5,6,11,13,14],[1,3,6,7,8,9,12],[1,4,5,8,12,13,14],[1,4,6,7,10,12,14],[1,5,6,8,9,10,13],[1,5,7,9,10,11,14],[1,7,8,9,11,12,13],[2,3,5,7,12,13,14],[2,3,8,9,11,12,14],[2,4,5,9,10,12,13],[2,4,6,7,8,9,14],[2,5,6,7,9,11,13],[2,5,6,8,10,11,12],[2,6,7,8,10,13,14],[3,4,5,7,8,10,11],[3,4,6,9,10,12,13],[3,4,6,9,11,13,14],[3,4,7,8,10,11,13],[3,5,7,9,10,12,14],[4,5,6,8,11,12,14]]; G[10305]:=Group([(1,2)(3,4)(6,9)(7,8)(10,11)(12,14)]); # Design 10306: autom. group order 2, simple B[10306]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,10,12,14],[1,2,4,9,12,13,14],[1,3,5,6,9,13,14],[1,3,6,7,8,11,14],[1,4,5,10,11,13,14],[1,4,6,8,9,11,12],[1,5,6,7,9,10,13],[1,5,7,8,10,12,14],[1,7,8,9,11,12,13],[2,3,5,11,12,13,14],[2,3,7,8,9,10,14],[2,4,5,7,8,11,13],[2,4,6,7,9,11,14],[2,5,6,7,8,12,13],[2,5,6,9,10,11,12],[2,6,8,9,10,13,14],[3,4,5,8,9,10,12],[3,4,6,7,10,12,13],[3,4,6,8,12,13,14],[3,4,7,9,10,11,13],[3,5,7,9,11,12,14],[4,5,6,8,10,11,14]]; G[10306]:=Group([(1,2)(3,4)(6,7)(8,9)(10,12)(11,14)]); # Design 10307: autom. group order 2, simple, residual B[10307]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,10,12,13],[1,2,4,9,11,13,14],[1,3,5,6,11,13,14],[1,3,6,7,8,9,14],[1,4,5,8,9,10,12],[1,4,6,9,12,13,14],[1,5,6,7,8,12,13],[1,5,7,10,11,12,14],[1,7,8,9,10,11,14],[2,3,5,9,10,12,14],[2,3,7,8,12,13,14],[2,4,5,7,8,11,14],[2,4,6,8,11,12,14],[2,5,6,7,9,11,12],[2,5,6,9,10,13,14],[2,6,7,8,9,10,13],[3,4,5,7,10,13,14],[3,4,6,7,9,10,11],[3,4,6,8,10,12,14],[3,4,7,9,11,12,13],[3,5,8,9,11,12,13],[4,5,6,8,10,11,13]]; G[10307]:=Group([(2,11)(3,10)(4,14)(5,7)(6,12)]); # Design 10308: autom. group order 2, simple, residual B[10308]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,10,12,13],[1,2,4,9,11,13,14],[1,3,5,6,11,13,14],[1,3,6,7,8,9,14],[1,4,5,8,9,10,12],[1,4,6,8,12,13,14],[1,5,6,7,9,12,13],[1,5,7,10,11,12,14],[1,7,8,9,10,11,14],[2,3,5,9,10,12,14],[2,3,7,8,12,13,14],[2,4,5,7,8,11,14],[2,4,6,9,11,12,14],[2,5,6,7,8,11,12],[2,5,6,9,10,13,14],[2,6,7,8,9,10,13],[3,4,5,7,10,13,14],[3,4,6,7,9,10,11],[3,4,6,8,10,12,14],[3,4,7,9,11,12,13],[3,5,8,9,11,12,13],[4,5,6,8,10,11,13]]; G[10308]:=Group([(2,11)(3,10)(4,14)(5,7)(6,12)]); # Design 10309: autom. group order 2, simple B[10309]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,8,10,13,14],[1,2,4,9,12,13,14],[1,3,5,6,8,13,14],[1,3,6,8,9,11,12],[1,4,5,7,9,10,11],[1,4,6,7,9,12,14],[1,5,7,11,12,13,14],[1,5,8,10,11,12,14],[1,6,7,8,9,10,13],[2,3,5,7,8,12,14],[2,3,7,9,10,12,14],[2,4,5,6,10,11,14],[2,4,6,8,11,12,13],[2,5,6,9,10,12,13],[2,5,7,8,9,11,13],[2,6,7,8,9,11,14],[3,4,5,9,11,12,13],[3,4,6,7,11,13,14],[3,4,7,8,10,12,13],[3,4,8,9,10,11,14],[3,5,6,9,10,13,14],[4,5,6,7,8,10,12]]; G[10309]:=Group([(2,12)(3,14)(4,11)(6,13)(9,10)]); # Design 10310: autom. group order 2, simple, residual B[10310]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,8,10,13,14],[1,2,4,9,12,13,14],[1,3,5,6,8,13,14],[1,3,6,8,9,11,12],[1,4,5,7,9,10,11],[1,4,6,7,9,12,14],[1,5,7,11,12,13,14],[1,5,8,10,11,12,14],[1,6,7,8,9,10,13],[2,3,5,7,8,12,14],[2,3,7,9,10,12,14],[2,4,5,6,11,12,13],[2,4,6,8,10,11,14],[2,5,6,9,10,12,13],[2,5,7,8,9,11,13],[2,6,7,8,9,11,14],[3,4,5,9,10,11,14],[3,4,6,7,11,13,14],[3,4,7,8,10,12,13],[3,4,8,9,11,12,13],[3,5,6,9,10,13,14],[4,5,6,7,8,10,12]]; G[10310]:=Group([(2,12)(3,14)(4,11)(6,13)(9,10)]); # Design 10311: autom. group order 2, simple, residual B[10311]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,9,11,13,14],[1,2,4,10,11,13,14],[1,3,5,6,8,13,14],[1,3,6,9,10,11,12],[1,4,5,7,9,11,12],[1,4,6,7,8,12,14],[1,5,7,10,12,13,14],[1,5,8,9,10,12,13],[1,6,7,8,9,11,14],[2,3,5,8,11,12,14],[2,3,7,9,12,13,14],[2,4,5,6,10,12,14],[2,4,6,8,9,12,13],[2,5,6,7,9,10,14],[2,5,7,8,9,10,11],[2,6,7,8,11,12,13],[3,4,5,7,11,12,13],[3,4,6,7,9,10,13],[3,4,7,8,10,11,14],[3,4,8,9,10,12,14],[3,5,6,9,11,13,14],[4,5,6,8,10,11,13]]; G[10311]:=Group([(2,10)(3,13)(4,12)(6,14)]); # Design 10312: autom. group order 2, simple, residual B[10312]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,9,13,14],[1,2,4,10,12,13,14],[1,3,5,6,8,13,14],[1,3,6,7,9,11,12],[1,4,5,7,9,10,11],[1,4,6,8,10,12,14],[1,5,7,11,12,13,14],[1,5,8,9,11,12,14],[1,6,7,8,9,10,13],[2,3,5,7,8,12,14],[2,3,7,9,10,12,14],[2,4,5,6,11,12,13],[2,4,6,8,9,11,14],[2,5,6,9,10,11,14],[2,5,7,8,10,11,13],[2,6,7,8,9,12,13],[3,4,5,9,10,12,13],[3,4,6,7,11,13,14],[3,4,7,8,10,11,14],[3,4,8,9,11,12,13],[3,5,6,9,10,13,14],[4,5,6,7,8,10,12]]; G[10312]:=Group([(2,12)(3,14)(4,11)(6,13)]); # Design 10313: autom. group order 2, simple, residual B[10313]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,10,13,14],[1,2,4,9,12,13,14],[1,3,5,6,8,13,14],[1,3,6,7,9,11,12],[1,4,5,7,9,10,11],[1,4,6,8,9,12,14],[1,5,7,11,12,13,14],[1,5,8,10,11,12,14],[1,6,7,8,9,10,13],[2,3,5,7,8,12,14],[2,3,7,9,10,12,14],[2,4,5,6,11,12,13],[2,4,6,8,10,11,14],[2,5,6,9,10,12,13],[2,5,7,8,9,11,13],[2,6,7,8,9,11,14],[3,4,5,9,10,11,14],[3,4,6,7,11,13,14],[3,4,7,8,10,12,13],[3,4,8,9,11,12,13],[3,5,6,9,10,13,14],[4,5,6,7,8,10,12]]; G[10313]:=Group([(2,12)(3,14)(4,11)(6,13)(9,10)]); # Design 10314: autom. group order 2, simple, residual B[10314]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,10,13,14],[1,2,4,9,12,13,14],[1,3,5,6,8,13,14],[1,3,6,7,9,11,12],[1,4,5,7,9,10,11],[1,4,6,8,9,12,14],[1,5,7,11,12,13,14],[1,5,8,10,11,12,14],[1,6,7,8,9,10,13],[2,3,5,7,8,12,14],[2,3,7,9,11,13,14],[2,4,5,6,10,11,14],[2,4,6,8,11,12,13],[2,5,6,9,10,12,13],[2,5,7,8,9,10,12],[2,6,7,8,9,11,14],[3,4,5,9,11,12,13],[3,4,6,7,10,12,14],[3,4,7,8,10,12,13],[3,4,8,9,10,11,14],[3,5,6,9,10,13,14],[4,5,6,7,8,11,13]]; G[10314]:=Group([(2,12)(3,14)(4,11)(6,13)(9,10)]); # Design 10315: autom. group order 2, simple B[10315]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,10,13,14],[1,2,4,9,10,12,14],[1,3,5,6,9,13,14],[1,3,6,8,12,13,14],[1,4,5,7,8,11,12],[1,4,7,9,11,12,13],[1,5,6,7,10,11,14],[1,5,8,9,10,12,13],[1,6,7,8,9,11,14],[2,3,5,7,9,12,14],[2,3,7,8,11,12,14],[2,4,5,6,8,11,13],[2,4,6,9,11,13,14],[2,5,6,7,10,12,13],[2,5,8,9,10,11,14],[2,6,7,8,9,12,13],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,9,10,11,12],[3,4,7,8,10,13,14],[3,5,7,9,10,11,13],[4,5,6,8,10,12,14]]; G[10315]:=Group([(3,4)(6,7)(8,9)(11,14)(12,13)]); # Design 10316: autom. group order 2, simple B[10316]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,10,13,14],[1,2,4,9,10,12,14],[1,3,5,6,9,13,14],[1,3,6,8,12,13,14],[1,4,5,7,8,11,12],[1,4,7,9,11,12,13],[1,5,6,7,10,12,13],[1,5,8,9,10,11,14],[1,6,7,8,9,11,14],[2,3,5,7,9,12,14],[2,3,7,8,11,12,14],[2,4,5,6,8,11,13],[2,4,6,9,11,13,14],[2,5,6,7,10,11,14],[2,5,8,9,10,12,13],[2,6,7,8,9,12,13],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,9,10,11,12],[3,4,7,8,10,13,14],[3,5,7,9,10,11,13],[4,5,6,8,10,12,14]]; G[10316]:=Group([(3,4)(6,7)(8,9)(11,14)(12,13)]); # Design 10317: autom. group order 2, simple B[10317]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,7,10,13,14],[1,2,4,9,10,11,12],[1,3,5,6,9,11,13],[1,3,6,8,12,13,14],[1,4,5,7,8,12,14],[1,4,7,9,11,12,13],[1,5,6,7,10,11,14],[1,5,8,9,10,12,13],[1,6,7,8,9,11,14],[2,3,5,7,8,11,12],[2,3,7,9,11,13,14],[2,4,5,6,9,13,14],[2,4,6,8,11,12,14],[2,5,6,7,10,12,13],[2,5,8,9,10,11,14],[2,6,7,8,9,12,13],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,9,10,12,14],[3,4,7,8,10,11,13],[3,5,7,9,10,12,14],[4,5,6,8,10,11,13]]; G[10317]:=Group([(3,4)(6,7)(8,9)(11,14)(12,13)]); # Design 10318: autom. group order 2, simple B[10318]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,7,10,13,14],[1,2,4,9,10,11,12],[1,3,5,6,9,13,14],[1,3,6,8,11,12,13],[1,4,5,7,8,11,12],[1,4,7,9,11,13,14],[1,5,6,7,10,11,13],[1,5,8,9,10,12,14],[1,6,7,8,9,12,14],[2,3,5,7,8,11,14],[2,3,7,9,11,12,14],[2,4,5,6,9,12,13],[2,4,6,8,12,13,14],[2,5,6,7,10,12,14],[2,5,8,9,10,11,13],[2,6,7,8,9,11,13],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,9,10,11,14],[3,4,7,8,10,12,13],[3,5,7,9,10,12,13],[4,5,6,8,10,11,14]]; G[10318]:=Group([(3,4)(6,7)(8,9)(11,13)(12,14)]); # Design 10319: autom. group order 2, simple, residual B[10319]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,7,10,13,14],[1,2,4,9,10,11,12],[1,3,5,6,9,11,13],[1,3,6,8,12,13,14],[1,4,5,7,8,12,14],[1,4,7,9,11,12,13],[1,5,6,7,10,11,14],[1,5,8,9,10,12,13],[1,6,7,8,9,11,14],[2,3,5,7,9,12,14],[2,3,7,9,11,13,14],[2,4,5,6,8,11,13],[2,4,6,8,11,12,14],[2,5,6,9,10,12,14],[2,5,7,8,10,11,13],[2,6,7,8,9,12,13],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,7,10,12,13],[3,4,8,9,10,11,14],[3,5,7,8,10,11,12],[4,5,6,9,10,13,14]]; G[10319]:=Group([(3,4)(6,7)(8,9)(11,14)(12,13)]); # Design 10320: autom. group order 2, simple, residual B[10320]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,7,10,13,14],[1,2,4,9,10,11,12],[1,3,5,6,9,13,14],[1,3,6,8,11,12,13],[1,4,5,7,8,11,12],[1,4,7,9,11,13,14],[1,5,6,7,10,11,13],[1,5,8,9,10,12,14],[1,6,7,8,9,12,14],[2,3,5,7,9,12,13],[2,3,7,9,11,12,14],[2,4,5,6,8,11,14],[2,4,6,8,12,13,14],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[2,6,7,8,9,11,13],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,7,10,12,14],[3,4,8,9,10,11,13],[3,5,7,8,10,11,14],[4,5,6,9,10,12,13]]; G[10320]:=Group([(3,4)(6,7)(8,9)(11,13)(12,14)]); # Design 10321: autom. group order 2, simple, residual B[10321]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,7,10,11,13],[1,2,4,9,10,12,14],[1,3,5,6,9,13,14],[1,3,6,8,11,12,14],[1,4,5,7,8,12,14],[1,4,7,9,11,13,14],[1,5,6,7,10,12,13],[1,5,8,9,11,12,13],[1,6,7,8,9,10,11],[2,3,5,7,9,11,12],[2,3,7,8,11,13,14],[2,4,5,6,8,11,13],[2,4,6,9,11,12,14],[2,5,6,9,10,13,14],[2,5,7,8,10,12,14],[2,6,7,8,9,12,13],[3,4,5,10,11,12,13],[3,4,6,7,8,9,10],[3,4,6,7,12,13,14],[3,4,8,9,10,12,13],[3,5,7,9,10,11,14],[4,5,6,8,10,11,14]]; G[10321]:=Group([(3,4)(6,7)(8,9)(12,13)]); # Design 10322: autom. group order 2, simple, residual B[10322]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,7,10,11,13],[1,2,4,9,10,12,14],[1,3,5,6,8,12,14],[1,3,6,9,11,13,14],[1,4,5,7,9,13,14],[1,4,7,8,11,12,14],[1,5,6,7,10,12,13],[1,5,8,9,11,12,13],[1,6,7,8,9,10,11],[2,3,5,7,9,11,12],[2,3,7,8,11,13,14],[2,4,5,6,8,11,13],[2,4,6,9,11,12,14],[2,5,6,9,10,13,14],[2,5,7,8,10,12,14],[2,6,7,8,9,12,13],[3,4,5,10,11,12,13],[3,4,6,7,8,9,10],[3,4,6,7,12,13,14],[3,4,8,9,10,12,13],[3,5,7,9,10,11,14],[4,5,6,8,10,11,14]]; G[10322]:=Group([(3,4)(6,7)(8,9)(12,13)]); # Design 10323: autom. group order 2, simple, residual B[10323]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,7,10,11,13],[1,2,4,9,10,12,14],[1,3,5,6,8,12,14],[1,3,6,9,11,13,14],[1,4,5,7,9,13,14],[1,4,7,8,11,12,14],[1,5,6,7,10,12,13],[1,5,8,9,11,12,13],[1,6,7,8,9,10,11],[2,3,5,7,8,11,13],[2,3,7,9,11,12,14],[2,4,5,6,9,11,12],[2,4,6,8,11,13,14],[2,5,6,9,10,13,14],[2,5,7,8,10,12,14],[2,6,7,8,9,12,13],[3,4,5,10,11,12,13],[3,4,6,7,8,9,10],[3,4,6,7,12,13,14],[3,4,8,9,10,12,13],[3,5,7,9,10,11,14],[4,5,6,8,10,11,14]]; G[10323]:=Group([(3,4)(6,7)(8,9)(12,13)]); # Design 10324: autom. group order 2, simple, residual B[10324]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,7,10,13,14],[1,2,4,9,10,11,12],[1,3,5,6,9,11,13],[1,3,6,8,12,13,14],[1,4,5,7,8,12,14],[1,4,7,9,11,12,13],[1,5,6,9,10,12,14],[1,5,7,8,10,11,13],[1,6,7,8,9,11,14],[2,3,5,7,9,12,14],[2,3,7,9,11,13,14],[2,4,5,6,8,11,13],[2,4,6,8,11,12,14],[2,5,6,7,10,11,14],[2,5,8,9,10,12,13],[2,6,7,8,9,12,13],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,7,10,12,13],[3,4,8,9,10,11,14],[3,5,7,8,10,11,12],[4,5,6,9,10,13,14]]; G[10324]:=Group([(3,4)(6,7)(8,9)(11,14)(12,13)]); # Design 10325: autom. group order 2, simple, residual B[10325]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,10,12,14],[1,2,4,9,10,13,14],[1,3,5,6,9,13,14],[1,3,6,8,12,13,14],[1,4,5,7,8,11,13],[1,4,7,9,11,12,13],[1,5,6,9,10,11,12],[1,5,7,8,10,12,14],[1,6,7,8,9,11,14],[2,3,5,7,9,11,12],[2,3,7,9,12,13,14],[2,4,5,6,8,12,14],[2,4,6,8,11,12,13],[2,5,6,7,11,13,14],[2,5,8,9,10,11,14],[2,6,7,8,9,10,13],[3,4,5,10,11,13,14],[3,4,6,7,8,9,10],[3,4,6,7,10,11,14],[3,4,8,9,11,12,14],[3,5,7,8,10,12,13],[4,5,6,9,10,12,13]]; G[10325]:=Group([(3,4)(6,7)(8,9)(11,14)]); # Design 10326: autom. group order 2, simple, residual B[10326]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,10,12,14],[1,2,4,9,10,13,14],[1,3,5,6,9,13,14],[1,3,6,8,12,13,14],[1,4,5,7,8,11,13],[1,4,7,9,11,12,13],[1,5,6,9,10,11,12],[1,5,7,8,10,12,14],[1,6,7,8,9,11,14],[2,3,5,7,9,12,14],[2,3,7,9,11,12,13],[2,4,5,6,8,11,12],[2,4,6,8,12,13,14],[2,5,6,7,11,13,14],[2,5,8,9,10,11,14],[2,6,7,8,9,10,13],[3,4,5,10,11,13,14],[3,4,6,7,8,9,10],[3,4,6,7,10,11,14],[3,4,8,9,11,12,14],[3,5,7,8,10,12,13],[4,5,6,9,10,12,13]]; G[10326]:=Group([(3,4)(6,7)(8,9)(11,14)]); # Design 10327: autom. group order 2, simple, residual B[10327]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,10,13,14],[1,2,4,9,10,12,14],[1,3,5,6,9,13,14],[1,3,6,8,12,13,14],[1,4,5,7,8,11,12],[1,4,7,9,11,12,13],[1,5,6,9,10,11,12],[1,5,7,8,10,13,14],[1,6,7,8,9,11,14],[2,3,5,7,9,12,14],[2,3,7,8,11,12,14],[2,4,5,6,8,11,13],[2,4,6,9,11,13,14],[2,5,6,7,10,11,14],[2,5,8,9,10,12,13],[2,6,7,8,9,12,13],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,7,10,12,13],[3,4,8,9,10,11,14],[3,5,7,9,10,11,13],[4,5,6,8,10,12,14]]; G[10327]:=Group([(3,4)(6,7)(8,9)(11,14)(12,13)]); # Design 10328: autom. group order 2, simple, residual B[10328]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,10,13,14],[1,2,4,9,10,12,14],[1,3,5,6,8,13,14],[1,3,6,9,11,12,14],[1,4,5,7,9,11,12],[1,4,7,8,11,13,14],[1,5,6,9,10,13,14],[1,5,7,8,10,11,12],[1,6,7,8,9,12,13],[2,3,5,7,8,12,14],[2,3,7,9,12,13,14],[2,4,5,6,9,11,13],[2,4,6,8,11,12,13],[2,5,6,7,10,12,13],[2,5,8,9,10,11,14],[2,6,7,8,9,11,14],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,7,10,11,14],[3,4,8,9,10,12,13],[3,5,7,9,10,11,13],[4,5,6,8,10,12,14]]; G[10328]:=Group([(3,4)(6,7)(8,9)(11,14)(12,13)]); # Design 10329: autom. group order 2, simple, residual B[10329]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,10,12,14],[1,2,4,9,11,13,14],[1,3,5,6,12,13,14],[1,3,6,8,9,13,14],[1,4,5,8,10,12,14],[1,4,7,8,9,12,13],[1,5,6,7,8,11,12],[1,5,7,9,10,11,13],[1,6,7,9,10,11,14],[2,3,5,7,10,13,14],[2,3,7,8,9,11,12],[2,4,5,6,9,11,14],[2,4,6,7,8,10,13],[2,5,6,7,9,12,13],[2,5,8,11,12,13,14],[2,6,8,9,10,12,14],[3,4,5,9,10,11,12],[3,4,6,7,8,11,14],[3,4,6,9,10,12,13],[3,4,7,11,12,13,14],[3,5,7,8,9,10,14],[4,5,6,8,10,11,13]]; G[10329]:=Group([(1,14)(2,7)(4,10)(6,13)]); # Design 10330: autom. group order 2, simple B[10330]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,7,10,11,13],[1,2,4,9,11,12,14],[1,3,5,6,11,12,13],[1,3,7,8,9,11,13],[1,4,5,6,9,13,14],[1,4,7,8,12,13,14],[1,5,6,7,9,10,14],[1,5,8,10,11,12,14],[1,6,7,8,9,10,12],[2,3,5,7,8,12,14],[2,3,6,9,12,13,14],[2,4,5,7,10,12,13],[2,4,6,8,9,10,12],[2,5,6,7,8,11,14],[2,5,9,10,11,13,14],[2,6,7,8,9,11,13],[3,4,5,8,9,10,11],[3,4,6,7,10,11,14],[3,4,6,8,10,13,14],[3,4,7,9,11,12,14],[3,5,7,9,10,12,13],[4,5,6,8,11,12,13]]; G[10330]:=Group([(1,2)(3,4)(6,7)(8,9)(10,11)(12,13)]); # Design 10331: autom. group order 2, simple, residual B[10331]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,10,13,14],[1,2,4,9,12,13,14],[1,3,5,6,10,13,14],[1,3,7,8,9,12,14],[1,4,5,6,8,12,14],[1,4,7,8,10,11,12],[1,5,6,8,9,11,13],[1,5,7,9,11,12,13],[1,6,7,9,10,11,14],[2,3,5,7,11,12,14],[2,3,6,7,9,12,13],[2,4,5,9,10,11,14],[2,4,6,8,11,12,13],[2,5,6,7,8,11,14],[2,5,7,8,9,10,13],[2,6,8,9,10,12,14],[3,4,5,9,10,11,12],[3,4,6,7,8,9,10],[3,4,6,9,11,13,14],[3,4,7,8,11,13,14],[3,5,8,10,12,13,14],[4,5,6,7,10,12,13]]; G[10331]:=Group([(1,13)(2,14)(5,11)(6,8)]); # Design 10332: autom. group order 2, simple, residual B[10332]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,12,13,14],[1,2,4,9,10,13,14],[1,3,5,6,10,13,14],[1,3,7,9,11,12,14],[1,4,5,6,11,12,14],[1,4,8,9,10,11,12],[1,5,6,7,8,11,13],[1,5,7,8,9,10,14],[1,6,7,8,9,12,13],[2,3,5,7,9,12,13],[2,3,6,8,9,12,14],[2,4,5,8,11,12,13],[2,4,6,7,8,10,14],[2,5,6,8,9,11,14],[2,5,7,10,11,12,14],[2,6,7,9,10,11,13],[3,4,5,7,9,10,11],[3,4,6,7,8,10,12],[3,4,6,9,11,13,14],[3,4,7,8,11,13,14],[3,5,8,10,12,13,14],[4,5,6,9,10,12,13]]; G[10332]:=Group([(1,13)(2,14)(5,11)(6,8)]); # Design 10333: autom. group order 2, simple B[10333]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,10,13,14],[1,2,4,9,10,12,14],[1,3,5,6,7,13,14],[1,3,7,8,11,12,14],[1,4,5,6,11,12,14],[1,4,7,8,9,11,13],[1,5,6,9,10,11,13],[1,5,8,9,10,12,14],[1,6,7,8,9,12,13],[2,3,5,9,11,12,13],[2,3,7,9,12,13,14],[2,4,5,8,11,13,14],[2,4,6,7,9,11,12],[2,5,6,7,8,9,10],[2,5,6,8,12,13,14],[2,6,7,8,10,11,14],[3,4,5,7,8,10,12],[3,4,6,8,9,11,14],[3,4,6,8,10,12,13],[3,4,6,9,10,13,14],[3,5,7,9,10,11,14],[4,5,7,10,11,12,13]]; G[10333]:=Group([(3,10)(5,14)(6,12)(7,9)(8,13)]); # Design 10334: autom. group order 2, simple B[10334]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,12,13],[1,2,4,9,10,13,14],[1,3,5,6,9,12,13],[1,3,7,8,9,11,13],[1,4,5,7,10,11,12],[1,4,6,8,9,11,14],[1,5,6,7,11,13,14],[1,5,6,8,10,12,14],[1,7,8,9,10,12,14],[2,3,5,8,11,12,14],[2,3,6,7,9,10,14],[2,4,5,9,11,12,14],[2,4,6,7,12,13,14],[2,5,6,7,8,9,10],[2,5,7,8,10,11,13],[2,6,8,9,11,12,13],[3,4,5,8,10,13,14],[3,4,6,7,8,11,14],[3,4,6,8,10,12,13],[3,4,7,9,10,11,12],[3,5,7,9,12,13,14],[4,5,6,9,10,11,13]]; G[10334]:=Group([(2,10)(3,14)(4,12)(5,8)(6,9)(11,13)]); # Design 10335: autom. group order 2, simple B[10335]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,12,13],[1,2,4,9,10,13,14],[1,3,5,6,9,12,13],[1,3,7,8,9,11,13],[1,4,5,7,10,11,12],[1,4,6,8,9,11,14],[1,5,6,7,11,13,14],[1,5,6,8,10,12,14],[1,7,8,9,10,12,14],[2,3,5,8,11,12,14],[2,3,6,7,9,10,14],[2,4,5,9,11,12,14],[2,4,6,7,8,10,11],[2,5,6,7,8,13,14],[2,5,7,9,10,12,13],[2,6,8,9,11,12,13],[3,4,5,8,10,13,14],[3,4,6,7,9,12,14],[3,4,6,8,10,12,13],[3,4,7,11,12,13,14],[3,5,7,8,9,10,11],[4,5,6,9,10,11,13]]; G[10335]:=Group([(2,10)(3,14)(4,12)(5,8)(6,9)(11,13)]); # Design 10336: autom. group order 2, simple B[10336]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,10,13,14],[1,2,4,9,10,12,14],[1,3,5,6,8,12,14],[1,3,7,9,12,13,14],[1,4,5,7,9,11,13],[1,4,6,8,11,12,13],[1,5,6,7,10,11,14],[1,5,8,9,10,12,13],[1,6,7,8,9,11,14],[2,3,5,6,9,13,14],[2,3,7,8,11,13,14],[2,4,5,7,8,11,12],[2,4,6,9,11,12,14],[2,5,6,7,10,12,13],[2,5,8,9,10,11,14],[2,6,7,8,9,12,13],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,9,10,11,13],[3,4,7,8,10,12,14],[3,5,7,9,10,11,12],[4,5,6,8,10,13,14]]; G[10336]:=Group([(3,4)(6,7)(8,9)(11,14)(12,13)]); # Design 10337: autom. group order 2, simple B[10337]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,10,13,14],[1,2,4,9,10,12,14],[1,3,5,6,8,12,14],[1,3,7,9,12,13,14],[1,4,5,7,9,11,13],[1,4,6,8,11,12,13],[1,5,6,7,10,12,13],[1,5,8,9,10,11,14],[1,6,7,8,9,11,14],[2,3,5,6,9,13,14],[2,3,7,8,11,13,14],[2,4,5,7,8,11,12],[2,4,6,9,11,12,14],[2,5,6,7,10,11,14],[2,5,8,9,10,12,13],[2,6,7,8,9,12,13],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,9,10,11,13],[3,4,7,8,10,12,14],[3,5,7,9,10,11,12],[4,5,6,8,10,13,14]]; G[10337]:=Group([(3,4)(6,7)(8,9)(11,14)(12,13)]); # Design 10338: autom. group order 2, simple, residual B[10338]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,10,13,14],[1,2,4,9,10,12,14],[1,3,5,6,9,13,14],[1,3,7,8,11,13,14],[1,4,5,7,8,11,12],[1,4,6,9,11,12,14],[1,5,6,7,10,11,14],[1,5,8,9,10,12,13],[1,6,7,8,9,12,13],[2,3,5,6,8,12,14],[2,3,7,9,12,13,14],[2,4,5,7,9,11,13],[2,4,6,8,11,12,13],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[2,6,7,8,9,11,14],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,7,10,12,13],[3,4,8,9,10,11,14],[3,5,7,9,10,11,12],[4,5,6,8,10,13,14]]; G[10338]:=Group([(3,4)(6,7)(8,9)(11,14)(12,13)]); # Design 10339: autom. group order 2, simple, residual B[10339]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,7,10,11,13],[1,2,4,9,10,12,14],[1,3,5,6,9,11,13],[1,3,7,8,11,13,14],[1,4,5,7,8,11,12],[1,4,6,9,11,12,14],[1,5,6,7,12,13,14],[1,5,8,9,10,12,13],[1,6,7,8,9,10,14],[2,3,5,6,8,12,14],[2,3,7,9,11,12,14],[2,4,5,7,9,13,14],[2,4,6,8,11,13,14],[2,5,6,9,10,11,13],[2,5,7,8,10,11,12],[2,6,7,8,9,12,13],[3,4,5,10,12,13,14],[3,4,6,7,8,9,10],[3,4,6,7,10,12,13],[3,4,8,9,11,12,13],[3,5,7,9,10,11,14],[4,5,6,8,10,11,14]]; G[10339]:=Group([(3,4)(6,7)(8,9)(12,13)]); # Design 10340: autom. group order 2, simple, residual B[10340]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,10,12,14],[1,2,4,9,10,13,14],[1,3,5,6,8,12,14],[1,3,7,9,12,13,14],[1,4,5,7,9,11,12],[1,4,6,8,11,12,13],[1,5,6,7,11,13,14],[1,5,8,9,10,11,14],[1,6,7,8,9,10,13],[2,3,5,6,9,13,14],[2,3,7,9,11,12,13],[2,4,5,7,8,11,13],[2,4,6,8,12,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,12,14],[2,6,7,8,9,11,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,10],[3,4,6,7,10,11,14],[3,4,8,9,11,12,14],[3,5,7,8,10,12,13],[4,5,6,9,10,12,13]]; G[10340]:=Group([(3,4)(6,7)(8,9)(11,14)]); # Design 10341: autom. group order 2, simple, residual B[10341]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,7,10,13,14],[1,2,4,9,10,11,12],[1,3,5,6,9,11,13],[1,3,7,9,11,13,14],[1,4,5,7,8,12,14],[1,4,6,8,11,12,14],[1,5,6,7,10,11,14],[1,5,8,9,10,12,13],[1,6,7,8,9,12,13],[2,3,5,7,9,12,14],[2,3,6,8,12,13,14],[2,4,5,6,8,11,13],[2,4,7,9,11,12,13],[2,5,6,9,10,12,14],[2,5,7,8,10,11,13],[2,6,7,8,9,11,14],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,7,10,12,13],[3,4,8,9,10,11,14],[3,5,7,8,10,11,12],[4,5,6,9,10,13,14]]; G[10341]:=Group([(3,4)(6,7)(8,9)(11,14)(12,13)]); # Design 10342: autom. group order 2, simple, residual B[10342]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,7,10,13,14],[1,2,4,9,10,11,12],[1,3,5,6,9,13,14],[1,3,7,9,11,12,13],[1,4,5,7,8,11,12],[1,4,6,8,11,13,14],[1,5,6,7,10,12,14],[1,5,8,9,10,11,13],[1,6,7,8,9,12,14],[2,3,5,7,9,11,14],[2,3,6,8,11,12,14],[2,4,5,6,8,12,13],[2,4,7,9,12,13,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[2,6,7,8,9,11,13],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,7,10,11,13],[3,4,8,9,10,12,14],[3,5,7,8,10,12,13],[4,5,6,9,10,11,14]]; G[10342]:=Group([(3,4)(6,7)(8,9)(11,13)(12,14)]); # Design 10343: autom. group order 2, simple, residual B[10343]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,10,12,14],[1,2,4,9,10,13,14],[1,3,5,6,9,12,14],[1,3,7,9,11,12,13],[1,4,5,7,8,11,12],[1,4,6,8,12,13,14],[1,5,6,7,11,13,14],[1,5,8,9,10,11,14],[1,6,7,8,9,10,13],[2,3,5,7,9,13,14],[2,3,6,8,12,13,14],[2,4,5,6,8,11,13],[2,4,7,9,11,12,13],[2,5,6,9,10,11,12],[2,5,7,8,10,12,14],[2,6,7,8,9,11,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,10],[3,4,6,7,10,11,14],[3,4,8,9,11,12,14],[3,5,7,8,10,12,13],[4,5,6,9,10,12,13]]; G[10343]:=Group([(3,4)(6,7)(8,9)(11,14)]); # Design 10344: autom. group order 2, simple, residual B[10344]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,7,10,11,13],[1,2,4,9,10,12,14],[1,3,5,6,9,12,14],[1,3,7,8,11,12,14],[1,4,5,7,8,13,14],[1,4,6,9,11,13,14],[1,5,6,7,10,12,13],[1,5,8,9,11,12,13],[1,6,7,8,9,10,11],[2,3,5,7,9,11,13],[2,3,6,8,11,13,14],[2,4,5,6,8,11,12],[2,4,7,9,11,12,14],[2,5,6,9,10,13,14],[2,5,7,8,10,12,14],[2,6,7,8,9,12,13],[3,4,5,10,11,12,13],[3,4,6,7,8,9,10],[3,4,6,7,12,13,14],[3,4,8,9,10,12,13],[3,5,7,9,10,11,14],[4,5,6,8,10,11,14]]; G[10344]:=Group([(3,4)(6,7)(8,9)(12,13)]); # Design 10345: autom. group order 2, simple, residual B[10345]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,7,10,11,13],[1,2,4,9,10,12,14],[1,3,5,6,9,11,13],[1,3,7,8,11,13,14],[1,4,5,7,8,11,12],[1,4,6,9,11,12,14],[1,5,6,7,12,13,14],[1,5,8,9,10,12,13],[1,6,7,8,9,10,14],[2,3,5,7,9,12,14],[2,3,6,8,11,12,14],[2,4,5,6,8,13,14],[2,4,7,9,11,13,14],[2,5,6,9,10,11,13],[2,5,7,8,10,11,12],[2,6,7,8,9,12,13],[3,4,5,10,12,13,14],[3,4,6,7,8,9,10],[3,4,6,7,10,12,13],[3,4,8,9,11,12,13],[3,5,7,9,10,11,14],[4,5,6,8,10,11,14]]; G[10345]:=Group([(3,4)(6,7)(8,9)(12,13)]); # Design 10346: autom. group order 2, simple, residual B[10346]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,7,10,13,14],[1,2,4,9,10,11,12],[1,3,5,6,9,11,13],[1,3,7,9,11,13,14],[1,4,5,7,8,12,14],[1,4,6,8,11,12,14],[1,5,6,9,10,12,14],[1,5,7,8,10,11,13],[1,6,7,8,9,12,13],[2,3,5,7,9,12,14],[2,3,6,8,12,13,14],[2,4,5,6,8,11,13],[2,4,7,9,11,12,13],[2,5,6,7,10,11,14],[2,5,8,9,10,12,13],[2,6,7,8,9,11,14],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,7,10,12,13],[3,4,8,9,10,11,14],[3,5,7,8,10,11,12],[4,5,6,9,10,13,14]]; G[10346]:=Group([(3,4)(6,7)(8,9)(11,14)(12,13)]); # Design 10347: autom. group order 2, simple, residual B[10347]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,7,10,13,14],[1,2,4,9,10,11,12],[1,3,5,6,9,13,14],[1,3,7,9,11,12,13],[1,4,5,7,8,11,12],[1,4,6,8,11,13,14],[1,5,6,9,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,12,14],[2,3,5,7,9,11,14],[2,3,6,8,11,12,14],[2,4,5,6,8,12,13],[2,4,7,9,12,13,14],[2,5,6,7,10,12,14],[2,5,8,9,10,11,13],[2,6,7,8,9,11,13],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,7,10,11,13],[3,4,8,9,10,12,14],[3,5,7,8,10,12,13],[4,5,6,9,10,11,14]]; G[10347]:=Group([(3,4)(6,7)(8,9)(11,13)(12,14)]); # Design 10348: autom. group order 2, simple, residual B[10348]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,10,12,14],[1,2,4,9,10,13,14],[1,3,5,6,9,12,14],[1,3,7,9,11,12,13],[1,4,5,7,8,11,12],[1,4,6,8,12,13,14],[1,5,6,9,10,11,13],[1,5,7,8,10,13,14],[1,6,7,8,9,11,14],[2,3,5,7,9,13,14],[2,3,6,8,12,13,14],[2,4,5,6,8,11,13],[2,4,7,9,11,12,13],[2,5,6,7,10,11,14],[2,5,8,9,11,12,14],[2,6,7,8,9,10,12],[3,4,5,10,11,12,14],[3,4,6,7,8,9,10],[3,4,6,7,11,13,14],[3,4,8,9,10,11,14],[3,5,7,8,10,12,13],[4,5,6,9,10,12,13]]; G[10348]:=Group([(3,4)(6,7)(8,9)(11,14)]); # Design 10349: autom. group order 2, simple, residual B[10349]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,10,12,14],[1,2,4,9,10,13,14],[1,3,5,6,9,12,14],[1,3,7,9,12,13,14],[1,4,5,7,8,11,12],[1,4,6,8,11,12,13],[1,5,6,9,10,11,13],[1,5,7,8,10,13,14],[1,6,7,8,9,11,14],[2,3,5,7,9,11,13],[2,3,6,8,12,13,14],[2,4,5,6,8,13,14],[2,4,7,9,11,12,13],[2,5,6,7,10,11,14],[2,5,8,9,11,12,14],[2,6,7,8,9,10,12],[3,4,5,10,11,12,14],[3,4,6,7,8,9,10],[3,4,6,7,11,13,14],[3,4,8,9,10,11,14],[3,5,7,8,10,12,13],[4,5,6,9,10,12,13]]; G[10349]:=Group([(3,4)(6,7)(8,9)(11,14)]); # Design 10350: autom. group order 2, simple, residual B[10350]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,10,12,14],[1,2,4,9,10,13,14],[1,3,5,6,9,13,14],[1,3,7,9,11,12,13],[1,4,5,7,8,11,13],[1,4,6,8,12,13,14],[1,5,6,9,10,11,12],[1,5,7,8,10,12,14],[1,6,7,8,9,11,14],[2,3,5,7,9,12,14],[2,3,6,8,12,13,14],[2,4,5,6,8,11,12],[2,4,7,9,11,12,13],[2,5,6,7,11,13,14],[2,5,8,9,10,11,14],[2,6,7,8,9,10,13],[3,4,5,10,11,13,14],[3,4,6,7,8,9,10],[3,4,6,7,10,11,14],[3,4,8,9,11,12,14],[3,5,7,8,10,12,13],[4,5,6,9,10,12,13]]; G[10350]:=Group([(3,4)(6,7)(8,9)(11,14)]); # Design 10351: autom. group order 2, simple, residual B[10351]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,10,12,14],[1,2,4,9,10,13,14],[1,3,5,6,8,12,14],[1,3,7,9,12,13,14],[1,4,5,7,9,11,12],[1,4,6,8,11,12,13],[1,5,6,9,10,11,13],[1,5,7,8,10,13,14],[1,6,7,8,9,11,14],[2,3,5,7,9,11,13],[2,3,6,9,12,13,14],[2,4,5,6,8,13,14],[2,4,7,8,11,12,13],[2,5,6,7,10,11,14],[2,5,8,9,11,12,14],[2,6,7,8,9,10,12],[3,4,5,10,11,12,14],[3,4,6,7,8,9,10],[3,4,6,7,11,13,14],[3,4,8,9,10,11,14],[3,5,7,8,10,12,13],[4,5,6,9,10,12,13]]; G[10351]:=Group([(3,4)(6,7)(8,9)(11,14)]); # Design 10352: autom. group order 2, simple, residual B[10352]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,11,13],[1,2,4,9,11,12,14],[1,3,5,6,11,13,14],[1,3,8,9,10,12,13],[1,4,5,7,12,13,14],[1,4,6,7,8,9,13],[1,5,6,8,9,11,14],[1,5,7,8,10,11,12],[1,6,7,9,10,12,14],[2,3,5,9,12,13,14],[2,3,6,7,8,9,12],[2,4,5,8,10,12,14],[2,4,6,7,11,12,13],[2,5,6,7,8,10,14],[2,5,6,9,10,11,13],[2,7,8,9,11,13,14],[3,4,5,7,9,10,11],[3,4,6,8,10,13,14],[3,4,6,8,11,12,14],[3,4,7,9,10,11,14],[3,5,7,8,11,12,13],[4,5,6,9,10,12,13]]; G[10352]:=Group([(1,2)(3,4)(6,8)(7,9)(10,11)(12,13)]); # Design 10353: autom. group order 2, simple B[10353]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,9,10,12],[1,2,4,11,12,13,14],[1,3,5,6,12,13,14],[1,3,7,9,10,13,14],[1,4,5,7,8,11,14],[1,4,6,8,9,12,13],[1,5,6,8,9,10,11],[1,5,7,9,11,12,14],[1,6,7,8,10,13,14],[2,3,5,9,11,13,14],[2,3,6,7,8,9,14],[2,4,5,8,10,13,14],[2,4,6,7,10,11,14],[2,5,6,7,8,12,13],[2,5,6,9,10,12,14],[2,7,8,9,11,12,13],[3,4,5,7,10,12,13],[3,4,6,7,9,11,13],[3,4,6,8,11,12,14],[3,4,8,9,10,12,14],[3,5,7,8,10,11,12],[4,5,6,9,10,11,13]]; G[10353]:=Group([(2,14)(3,7)(4,13)(5,10)(6,9)]); # Design 10354: autom. group order 2, simple, residual B[10354]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,12,13,14],[1,2,4,7,10,11,12],[1,2,4,9,11,12,13],[1,3,5,6,9,12,14],[1,3,7,8,9,12,13],[1,4,5,7,10,13,14],[1,4,6,8,11,13,14],[1,5,6,8,10,12,14],[1,5,7,8,9,10,11],[1,6,7,9,11,13,14],[2,3,5,10,11,13,14],[2,3,6,7,9,11,14],[2,4,5,8,9,13,14],[2,4,6,7,8,12,14],[2,5,6,7,9,10,13],[2,5,6,8,11,12,13],[2,7,8,9,10,12,14],[3,4,5,7,11,12,14],[3,4,6,7,8,10,13],[3,4,6,9,10,12,13],[3,4,8,9,10,11,14],[3,5,7,8,11,12,13],[4,5,6,9,10,11,12]]; G[10354]:=Group([(2,14)(3,13)(4,6)(5,11)(7,8)]); # Design 10355: autom. group order 2, simple B[10355]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,10,11,13],[1,2,4,9,12,13,14],[1,3,5,6,8,12,14],[1,3,7,8,9,10,11],[1,4,5,10,11,12,14],[1,4,6,8,9,11,14],[1,5,6,7,8,12,13],[1,5,7,9,10,13,14],[1,6,7,9,11,12,13],[2,3,5,11,12,13,14],[2,3,6,7,9,11,14],[2,4,5,7,9,11,12],[2,4,6,7,8,13,14],[2,5,6,8,10,11,13],[2,5,7,8,9,10,12],[2,6,8,9,10,12,14],[3,4,5,6,9,10,13],[3,4,6,9,10,12,13],[3,4,7,8,10,12,14],[3,4,7,8,11,12,13],[3,5,8,9,11,13,14],[4,5,6,7,10,11,14]]; G[10355]:=Group([(1,2)(3,4)(6,9)(7,8)(10,13)(11,14)]); # Design 10356: autom. group order 2, simple B[10356]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,7,11,13,14],[1,2,4,9,10,12,13],[1,3,5,6,11,13,14],[1,3,7,9,11,12,14],[1,4,5,8,10,12,14],[1,4,6,7,8,9,14],[1,5,6,8,9,10,11],[1,5,7,8,11,12,13],[1,6,7,9,10,12,13],[2,3,5,9,12,13,14],[2,3,6,7,8,9,12],[2,4,5,7,10,11,12],[2,4,6,8,11,12,14],[2,5,6,9,10,11,14],[2,5,7,8,9,11,13],[2,6,7,8,10,13,14],[3,4,5,6,7,10,13],[3,4,6,8,11,12,13],[3,4,7,9,10,11,14],[3,4,8,9,10,11,13],[3,5,7,8,10,12,14],[4,5,6,9,12,13,14]]; G[10356]:=Group([(1,2)(3,4)(6,7)(8,9)(10,13)(12,14)]); # Design 10357: autom. group order 2, simple B[10357]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,7,11,13,14],[1,2,4,9,10,12,13],[1,3,5,6,9,11,14],[1,3,7,8,9,12,14],[1,4,5,11,12,13,14],[1,4,6,7,8,10,14],[1,5,6,8,9,11,13],[1,5,7,9,10,12,13],[1,6,7,8,10,11,12],[2,3,5,10,11,12,14],[2,3,6,7,9,12,13],[2,4,5,7,8,11,12],[2,4,6,8,9,12,14],[2,5,6,8,10,13,14],[2,5,7,8,9,10,11],[2,6,7,9,11,13,14],[3,4,5,6,7,10,13],[3,4,6,8,11,12,13],[3,4,7,9,10,11,14],[3,4,8,9,10,11,13],[3,5,7,8,12,13,14],[4,5,6,9,10,12,14]]; G[10357]:=Group([(1,2)(3,4)(6,7)(8,9)(10,13)(12,14)]); # Design 10358: autom. group order 2, simple B[10358]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,7,11,13,14],[1,2,4,9,10,12,13],[1,3,5,6,11,12,13],[1,3,7,8,10,12,14],[1,4,5,8,11,12,14],[1,4,6,7,8,9,12],[1,5,6,9,10,13,14],[1,5,7,8,9,11,13],[1,6,7,9,10,11,14],[2,3,5,9,11,12,14],[2,3,6,7,8,9,14],[2,4,5,7,10,11,14],[2,4,6,9,12,13,14],[2,5,6,8,9,10,11],[2,5,7,8,10,12,13],[2,6,7,8,11,12,13],[3,4,5,6,7,10,13],[3,4,6,8,11,13,14],[3,4,7,9,10,11,12],[3,4,8,9,10,11,13],[3,5,7,9,12,13,14],[4,5,6,8,10,12,14]]; G[10358]:=Group([(1,2)(3,4)(6,7)(8,9)(10,13)(12,14)]); # Design 10359: autom. group order 2, simple, residual B[10359]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,7,10,11,13],[1,2,4,9,11,12,14],[1,3,5,6,10,12,14],[1,3,7,9,12,13,14],[1,4,5,8,11,12,13],[1,4,6,8,9,10,14],[1,5,6,7,8,12,13],[1,5,7,8,9,11,14],[1,6,7,9,10,11,13],[2,3,5,9,11,12,13],[2,3,6,7,8,9,13],[2,4,5,7,10,13,14],[2,4,6,8,12,13,14],[2,5,6,8,9,10,11],[2,5,7,9,10,12,14],[2,6,7,8,11,12,14],[3,4,5,6,7,11,14],[3,4,6,9,11,13,14],[3,4,7,8,9,10,12],[3,4,7,8,10,11,12],[3,5,8,10,11,13,14],[4,5,6,9,10,12,13]]; G[10359]:=Group([(1,14)(2,5)(3,10)(4,7)(6,13)(8,12)]); # Design 10360: autom. group order 2, simple B[10360]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,10,13,14],[1,2,4,9,10,12,14],[1,3,5,6,9,13,14],[1,3,7,8,11,13,14],[1,4,5,7,8,11,12],[1,4,6,9,11,12,14],[1,5,6,7,10,11,14],[1,5,8,9,10,12,13],[1,6,7,8,9,12,13],[2,3,5,7,9,11,12],[2,3,7,9,12,13,14],[2,4,5,6,8,13,14],[2,4,6,8,11,12,13],[2,5,6,7,10,12,13],[2,5,8,9,10,11,14],[2,6,7,8,9,11,14],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,9,10,11,13],[3,4,7,8,10,12,14],[3,5,6,8,10,12,14],[4,5,7,9,10,11,13]]; G[10360]:=Group([(3,4)(6,7)(8,9)(11,14)(12,13)]); # Design 10361: autom. group order 2, simple, residual B[10361]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,7,10,11,13],[1,2,4,9,10,12,14],[1,3,5,6,9,11,13],[1,3,7,9,11,12,14],[1,4,5,7,8,11,12],[1,4,6,8,11,13,14],[1,5,6,7,12,13,14],[1,5,8,9,10,12,13],[1,6,7,8,9,10,14],[2,3,5,7,9,13,14],[2,3,7,8,11,12,14],[2,4,5,6,8,12,14],[2,4,6,9,11,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,11,13],[2,6,7,8,9,12,13],[3,4,5,10,12,13,14],[3,4,6,7,8,9,10],[3,4,6,7,10,12,13],[3,4,8,9,11,12,13],[3,5,6,8,10,11,14],[4,5,7,9,10,11,14]]; G[10361]:=Group([(3,4)(6,7)(8,9)(12,13)]); # Design 10362: autom. group order 2, simple, residual B[10362]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,7,10,11,13],[1,2,4,9,10,12,14],[1,3,5,6,9,13,14],[1,3,7,8,11,12,14],[1,4,5,7,8,12,14],[1,4,6,9,11,13,14],[1,5,6,7,10,12,13],[1,5,8,9,11,12,13],[1,6,7,8,9,10,11],[2,3,5,7,9,11,12],[2,3,7,9,11,13,14],[2,4,5,6,8,11,13],[2,4,6,8,11,12,14],[2,5,6,9,10,12,14],[2,5,7,8,10,13,14],[2,6,7,8,9,12,13],[3,4,5,10,11,12,13],[3,4,6,7,8,9,10],[3,4,6,7,12,13,14],[3,4,8,9,10,12,13],[3,5,6,8,10,11,14],[4,5,7,9,10,11,14]]; G[10362]:=Group([(3,4)(6,7)(8,9)(12,13)]); # Design 10363: autom. group order 2, simple, residual B[10363]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,7,10,11,13],[1,2,4,9,10,12,14],[1,3,5,6,9,11,13],[1,3,7,8,11,12,14],[1,4,5,7,8,11,12],[1,4,6,9,11,13,14],[1,5,6,7,12,13,14],[1,5,8,9,10,12,13],[1,6,7,8,9,10,14],[2,3,5,7,9,13,14],[2,3,7,9,11,12,14],[2,4,5,6,8,12,14],[2,4,6,8,11,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,11,13],[2,6,7,8,9,12,13],[3,4,5,10,12,13,14],[3,4,6,7,8,9,10],[3,4,6,7,10,12,13],[3,4,8,9,11,12,13],[3,5,6,8,10,11,14],[4,5,7,9,10,11,14]]; G[10363]:=Group([(3,4)(6,7)(8,9)(12,13)]); # Design 10364: autom. group order 2, simple, residual B[10364]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,7,10,11,13],[1,2,4,9,10,12,14],[1,3,5,6,9,13,14],[1,3,7,9,11,12,14],[1,4,5,7,8,12,14],[1,4,6,8,11,13,14],[1,5,6,9,10,11,12],[1,5,7,8,10,11,13],[1,6,7,8,9,12,13],[2,3,5,7,9,11,13],[2,3,7,8,11,12,14],[2,4,5,6,8,11,12],[2,4,6,9,11,13,14],[2,5,6,7,12,13,14],[2,5,8,9,10,12,13],[2,6,7,8,9,10,14],[3,4,5,10,12,13,14],[3,4,6,7,8,9,10],[3,4,6,7,10,12,13],[3,4,8,9,11,12,13],[3,5,6,8,10,11,14],[4,5,7,9,10,11,14]]; G[10364]:=Group([(3,4)(6,7)(8,9)(12,13)]); # Design 10365: autom. group order 2, simple, residual B[10365]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,12,13,14],[1,2,4,7,10,11,12],[1,2,4,9,11,12,13],[1,3,5,6,9,12,14],[1,3,7,8,9,12,14],[1,4,5,8,11,13,14],[1,4,6,7,8,13,14],[1,5,6,7,10,12,13],[1,5,9,10,11,13,14],[1,6,7,8,9,10,11],[2,3,5,7,9,11,13],[2,3,7,8,10,13,14],[2,4,5,8,10,12,14],[2,4,6,7,9,13,14],[2,5,6,7,11,12,14],[2,5,6,8,9,10,13],[2,6,8,9,11,12,14],[3,4,5,6,10,11,14],[3,4,6,8,11,12,13],[3,4,6,9,10,12,13],[3,4,7,9,10,11,14],[3,5,7,8,11,12,13],[4,5,7,8,9,10,12]]; G[10365]:=Group([(1,12)(3,14)(4,11)(5,6)]); # Design 10366: autom. group order 2, simple B[10366]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,7,10,11,13],[1,2,4,9,11,12,14],[1,3,5,9,10,12,14],[1,3,6,7,8,9,13],[1,4,5,6,10,12,13],[1,4,6,8,12,13,14],[1,5,6,7,9,11,14],[1,5,7,8,11,12,14],[1,7,8,9,10,11,13],[2,3,5,7,11,12,13],[2,3,7,9,12,13,14],[2,4,5,8,11,13,14],[2,4,6,7,8,9,12],[2,5,6,7,8,10,14],[2,5,6,9,10,13,14],[2,6,8,9,10,11,12],[3,4,5,8,9,10,11],[3,4,6,7,10,11,14],[3,4,6,9,11,13,14],[3,4,7,8,10,12,14],[3,5,6,8,11,12,13],[4,5,7,9,10,12,13]]; G[10366]:=Group([(1,2)(3,4)(6,7)(8,9)(10,11)(12,13)]); # Design 10367: autom. group order 2, simple B[10367]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,8,12,13,14],[1,2,4,9,10,12,14],[1,3,5,8,11,13,14],[1,3,6,7,8,9,14],[1,4,5,6,11,12,13],[1,4,7,9,10,11,14],[1,5,6,7,10,12,14],[1,5,6,8,9,10,13],[1,7,8,9,11,12,13],[2,3,5,9,10,13,14],[2,3,6,8,11,12,14],[2,4,5,7,11,13,14],[2,4,6,7,8,9,11],[2,5,6,7,9,12,13],[2,5,8,9,10,11,12],[2,6,7,8,10,13,14],[3,4,5,7,8,10,12],[3,4,6,9,10,11,13],[3,4,6,9,12,13,14],[3,4,7,8,10,12,13],[3,5,7,9,11,12,14],[4,5,6,8,10,11,14]]; G[10367]:=Group([(1,2)(3,4)(6,9)(7,8)(10,12)(11,14)]); # Design 10368: autom. group order 2, simple B[10368]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,7,11,12,13],[1,2,4,9,10,11,14],[1,3,5,11,12,13,14],[1,3,6,7,9,10,14],[1,4,5,6,8,13,14],[1,4,7,8,9,12,14],[1,5,6,7,9,11,13],[1,5,6,8,10,11,12],[1,7,8,9,10,12,13],[2,3,5,7,9,12,13],[2,3,6,7,8,12,14],[2,4,5,10,12,13,14],[2,4,6,8,9,11,12],[2,5,6,8,9,10,13],[2,5,7,9,10,11,14],[2,6,7,8,11,13,14],[3,4,5,7,8,10,11],[3,4,6,9,10,12,13],[3,4,6,9,11,13,14],[3,4,7,8,10,11,13],[3,5,8,9,11,12,14],[4,5,6,7,10,12,14]]; G[10368]:=Group([(1,2)(3,4)(6,9)(7,8)(10,11)(12,14)]); # Design 10369: autom. group order 2, simple B[10369]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,7,10,11,13],[1,2,4,9,11,12,14],[1,3,5,11,12,13,14],[1,3,6,7,9,12,13],[1,4,5,6,8,10,12],[1,4,7,8,9,13,14],[1,5,6,7,8,11,14],[1,5,6,9,10,13,14],[1,7,8,9,10,11,12],[2,3,5,7,9,11,13],[2,3,6,8,9,12,14],[2,4,5,10,12,13,14],[2,4,6,7,8,12,13],[2,5,6,7,9,10,14],[2,5,7,8,11,12,14],[2,6,8,9,10,11,13],[3,4,5,8,9,10,11],[3,4,6,7,10,11,14],[3,4,6,8,11,13,14],[3,4,7,9,10,12,14],[3,5,7,8,10,12,13],[4,5,6,9,11,12,13]]; G[10369]:=Group([(1,2)(3,4)(6,7)(8,9)(10,11)(12,13)]); # Design 10370: autom. group order 2, simple, residual B[10370]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,10,12,14],[1,2,4,9,10,13,14],[1,3,5,7,9,11,12],[1,3,6,9,12,13,14],[1,4,5,6,8,12,14],[1,4,7,8,11,12,13],[1,5,6,7,11,13,14],[1,5,8,9,10,11,14],[1,6,7,8,9,10,13],[2,3,5,7,9,13,14],[2,3,6,8,12,13,14],[2,4,5,6,8,11,13],[2,4,7,9,11,12,13],[2,5,6,9,10,11,12],[2,5,7,8,10,12,14],[2,6,7,8,9,11,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,10],[3,4,6,7,10,11,14],[3,4,8,9,11,12,14],[3,5,7,8,10,12,13],[4,5,6,9,10,12,13]]; G[10370]:=Group([(3,4)(6,7)(8,9)(11,14)]); # Design 10371: autom. group order 2, simple B[10371]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,7,10,11,13],[1,2,4,9,11,12,14],[1,3,5,11,12,13,14],[1,3,6,7,9,12,13],[1,4,5,6,8,10,12],[1,4,7,8,9,13,14],[1,5,6,7,8,11,14],[1,5,7,9,10,12,14],[1,6,8,9,10,11,13],[2,3,5,7,9,11,13],[2,3,6,8,9,12,14],[2,4,5,10,12,13,14],[2,4,6,7,8,12,13],[2,5,6,7,9,10,14],[2,5,6,8,11,13,14],[2,7,8,9,10,11,12],[3,4,5,8,9,10,11],[3,4,6,7,10,11,14],[3,4,6,9,10,13,14],[3,4,7,8,11,12,14],[3,5,7,8,10,12,13],[4,5,6,9,11,12,13]]; G[10371]:=Group([(1,2)(3,4)(6,7)(8,9)(10,11)(12,13)]); # Design 10372: autom. group order 2, simple, residual B[10372]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,7,10,11,13],[1,2,4,9,10,12,14],[1,3,5,7,9,11,12],[1,3,6,9,11,13,14],[1,4,5,6,8,11,13],[1,4,7,8,11,12,14],[1,5,6,7,12,13,14],[1,5,8,9,10,12,13],[1,6,7,8,9,10,14],[2,3,5,7,9,13,14],[2,3,7,8,11,12,14],[2,4,5,6,8,12,14],[2,4,6,9,11,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,11,13],[2,6,7,8,9,12,13],[3,4,5,10,12,13,14],[3,4,6,7,8,9,10],[3,4,6,7,10,12,13],[3,4,8,9,11,12,13],[3,5,6,8,10,11,14],[4,5,7,9,10,11,14]]; G[10372]:=Group([(3,4)(6,7)(8,9)(12,13)]); # Design 10373: autom. group order 2, simple, residual B[10373]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,7,9,10,11],[1,2,3,9,10,11,12],[1,2,4,7,12,13,14],[1,2,4,9,12,13,14],[1,3,5,8,9,12,13],[1,3,7,8,10,13,14],[1,4,5,8,9,10,14],[1,4,6,8,10,11,13],[1,5,6,7,9,11,14],[1,5,6,10,11,12,14],[1,6,7,8,11,12,13],[2,3,5,8,11,13,14],[2,3,6,8,10,12,14],[2,4,6,8,9,11,12],[2,4,7,8,10,11,14],[2,5,6,7,10,12,13],[2,5,6,9,10,13,14],[2,5,7,8,9,11,13],[3,4,5,7,11,12,14],[3,4,5,10,11,12,13],[3,4,6,7,9,10,13],[3,4,6,9,11,13,14],[3,6,7,8,9,12,14],[4,5,7,8,9,10,12]]; G[10373]:=Group([(1,2)(3,4)(5,6)(9,12)(10,14)(11,13)]); # Design 10374: autom. group order 2, simple, residual B[10374]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,7,9,10,11],[1,2,3,9,12,13,14],[1,2,4,7,12,13,14],[1,2,4,9,10,11,12],[1,3,5,8,9,10,12],[1,3,7,8,11,13,14],[1,4,5,8,9,11,13],[1,4,6,8,10,11,14],[1,5,6,7,10,12,13],[1,5,6,9,11,13,14],[1,6,7,8,10,12,14],[2,3,5,8,10,13,14],[2,3,6,8,11,12,13],[2,4,6,8,9,12,14],[2,4,7,8,10,11,13],[2,5,6,7,9,11,14],[2,5,6,10,11,12,13],[2,5,7,8,9,10,14],[3,4,5,7,11,12,14],[3,4,5,10,11,12,14],[3,4,6,7,9,10,13],[3,4,6,9,10,13,14],[3,6,7,8,9,11,12],[4,5,7,8,9,12,13]]; G[10374]:=Group([(1,2)(3,4)(5,6)(9,12)(10,14)(11,13)]); # Design 10375: autom. group order 2, simple B[10375]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,7,9,10,11],[1,2,3,9,10,12,13],[1,2,4,7,12,13,14],[1,2,4,9,11,12,14],[1,3,5,8,9,11,12],[1,3,7,8,10,13,14],[1,4,5,8,9,10,14],[1,4,6,8,10,11,13],[1,5,6,7,11,12,14],[1,5,6,10,12,13,14],[1,6,7,8,9,11,13],[2,3,5,8,11,13,14],[2,3,6,8,10,12,14],[2,4,6,8,9,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,10,13],[2,5,6,9,10,11,14],[2,5,7,8,11,12,13],[3,4,5,7,9,13,14],[3,4,5,10,11,12,13],[3,4,6,7,10,11,12],[3,4,6,9,11,13,14],[3,6,7,8,9,12,14],[4,5,7,8,9,10,12]]; G[10375]:=Group([(1,2)(3,4)(5,6)(9,12)(10,14)(11,13)]); # Design 10376: autom. group order 2, simple, residual B[10376]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,7,9,10,11],[1,2,3,9,10,11,12],[1,2,4,7,12,13,14],[1,2,4,9,12,13,14],[1,3,5,8,9,12,13],[1,3,7,8,10,13,14],[1,4,5,8,10,11,13],[1,4,6,8,9,10,14],[1,5,6,7,9,11,14],[1,5,6,10,11,12,14],[1,6,7,8,11,12,13],[2,3,5,8,10,12,14],[2,3,6,8,11,13,14],[2,4,6,8,9,11,12],[2,4,7,8,10,11,14],[2,5,6,7,10,12,13],[2,5,6,9,10,13,14],[2,5,7,8,9,11,13],[3,4,5,7,11,12,14],[3,4,5,9,11,13,14],[3,4,6,7,9,10,13],[3,4,6,10,11,12,13],[3,6,7,8,9,12,14],[4,5,7,8,9,10,12]]; G[10376]:=Group([(1,2)(3,4)(5,6)(9,12)(10,14)(11,13)]); # Design 10377: autom. group order 2, simple, residual B[10377]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,7,9,10,11],[1,2,3,9,10,11,12],[1,2,4,7,12,13,14],[1,2,4,9,12,13,14],[1,3,5,8,9,12,13],[1,3,7,8,10,13,14],[1,4,5,8,10,11,13],[1,4,6,8,9,11,14],[1,5,6,7,9,10,14],[1,5,6,10,11,12,13],[1,6,7,8,11,12,14],[2,3,5,8,11,12,14],[2,3,6,8,10,13,14],[2,4,6,8,9,10,12],[2,4,7,8,10,11,13],[2,5,6,7,11,12,13],[2,5,6,9,10,13,14],[2,5,7,8,9,11,14],[3,4,5,7,10,12,14],[3,4,5,9,11,13,14],[3,4,6,7,9,11,13],[3,4,6,10,11,12,14],[3,6,7,8,9,12,13],[4,5,7,8,9,10,12]]; G[10377]:=Group([(1,2)(3,4)(5,6)(9,12)(10,13)(11,14)]); # Design 10378: autom. group order 2, simple B[10378]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,7,9,10,11],[1,2,3,9,12,13,14],[1,2,4,7,12,13,14],[1,2,4,9,10,11,12],[1,3,5,8,9,10,12],[1,3,7,8,10,13,14],[1,4,5,8,10,13,14],[1,4,6,8,9,11,13],[1,5,6,7,9,11,14],[1,5,6,10,11,12,14],[1,6,7,8,11,12,13],[2,3,5,8,11,12,13],[2,3,6,8,10,11,14],[2,4,6,8,9,12,14],[2,4,7,8,10,11,14],[2,5,6,7,10,12,13],[2,5,6,9,10,13,14],[2,5,7,8,9,11,13],[3,4,5,7,11,12,14],[3,4,5,9,11,13,14],[3,4,6,7,9,10,13],[3,4,6,10,11,12,13],[3,6,7,8,9,12,14],[4,5,7,8,9,10,12]]; G[10378]:=Group([(1,2)(3,4)(5,6)(9,12)(10,14)(11,13)]); # Design 10379: autom. group order 2, simple, residual B[10379]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,7,9,10,11],[1,2,3,9,10,12,13],[1,2,4,7,12,13,14],[1,2,4,9,11,12,14],[1,3,5,8,9,12,13],[1,3,7,8,11,13,14],[1,4,5,8,10,11,13],[1,4,6,8,9,10,14],[1,5,6,7,10,11,12],[1,5,6,9,11,13,14],[1,6,7,8,10,12,14],[2,3,5,8,10,12,14],[2,3,6,8,11,13,14],[2,4,6,8,9,11,12],[2,4,7,8,10,11,13],[2,5,6,7,9,13,14],[2,5,6,10,11,12,13],[2,5,7,8,9,10,14],[3,4,5,7,11,12,14],[3,4,5,9,10,11,14],[3,4,6,7,9,10,13],[3,4,6,10,12,13,14],[3,6,7,8,9,11,12],[4,5,7,8,9,12,13]]; G[10379]:=Group([(1,2)(3,4)(5,6)(9,12)(10,14)(11,13)]); # Design 10380: autom. group order 2, simple B[10380]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,7,9,10,11],[1,2,3,9,12,13,14],[1,2,4,7,12,13,14],[1,2,4,9,10,11,12],[1,3,5,8,10,13,14],[1,3,7,8,10,11,13],[1,4,5,8,9,12,13],[1,4,6,8,9,11,14],[1,5,6,7,9,10,14],[1,5,6,10,11,12,13],[1,6,7,8,11,12,14],[2,3,5,8,11,12,14],[2,3,6,8,9,10,12],[2,4,6,8,10,11,13],[2,4,7,8,10,13,14],[2,5,6,7,11,12,13],[2,5,6,9,10,13,14],[2,5,7,8,9,11,14],[3,4,5,7,9,11,13],[3,4,5,10,11,12,14],[3,4,6,7,10,12,14],[3,4,6,9,11,13,14],[3,6,7,8,9,12,13],[4,5,7,8,9,10,12]]; G[10380]:=Group([(1,2)(3,4)(5,6)(9,12)(10,13)(11,14)]); # Design 10381: autom. group order 2, simple, residual B[10381]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,7,9,10,11],[1,2,3,8,9,10,12],[1,2,4,7,12,13,14],[1,2,4,9,12,13,14],[1,3,5,8,11,13,14],[1,3,7,8,11,13,14],[1,4,5,9,10,11,13],[1,4,6,8,9,11,12],[1,5,6,7,10,12,14],[1,5,6,10,11,12,14],[1,6,7,8,9,10,13],[2,3,5,9,11,12,14],[2,3,6,10,11,12,13],[2,4,6,8,10,11,14],[2,4,7,8,10,11,14],[2,5,6,7,9,11,13],[2,5,6,8,9,13,14],[2,5,7,8,10,12,13],[3,4,5,7,9,10,14],[3,4,5,8,10,12,13],[3,4,6,7,11,12,13],[3,4,6,9,10,13,14],[3,6,7,8,9,12,14],[4,5,7,8,9,11,12]]; G[10381]:=Group([(1,14)(2,4)(3,10)(5,11)(6,8)(12,13)]); # Design 10382: autom. group order 2, simple, residual B[10382]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,7,9,10,11],[1,2,3,8,9,10,12],[1,2,4,7,12,13,14],[1,2,4,9,12,13,14],[1,3,5,8,11,13,14],[1,3,7,8,11,13,14],[1,4,5,8,9,11,12],[1,4,6,9,10,11,13],[1,5,6,7,10,12,14],[1,5,6,10,11,12,14],[1,6,7,8,9,10,13],[2,3,5,10,11,12,13],[2,3,6,9,11,12,14],[2,4,6,8,10,11,14],[2,4,7,8,10,11,14],[2,5,6,7,9,11,13],[2,5,6,8,9,13,14],[2,5,7,8,10,12,13],[3,4,5,7,9,10,14],[3,4,5,9,10,13,14],[3,4,6,7,11,12,13],[3,4,6,8,10,12,13],[3,6,7,8,9,12,14],[4,5,7,8,9,11,12]]; G[10382]:=Group([(1,5)(2,10)(3,12)(4,14)(8,11)(9,13)]); # Design 10383: autom. group order 2, simple, residual B[10383]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,4,6,11,12,14],[1,2,4,9,10,13,14],[1,3,5,6,9,12,13],[1,3,9,10,11,12,14],[1,4,5,7,10,11,14],[1,4,6,8,12,13,14],[1,5,7,8,9,11,12],[1,5,7,8,10,13,14],[1,6,7,8,9,11,13],[2,3,5,8,11,12,14],[2,3,7,8,11,13,14],[2,4,7,8,9,10,12],[2,4,7,9,11,12,13],[2,5,6,7,12,13,14],[2,5,6,8,9,10,14],[2,5,6,9,10,11,13],[3,4,5,7,10,12,13],[3,4,5,9,11,13,14],[3,4,6,7,8,9,14],[3,4,6,8,10,11,13],[3,6,7,9,10,12,14],[4,5,6,8,10,11,12]]; G[10383]:=Group([(1,9)(2,14)(4,10)(5,12)(8,11)]); # Design 10384: autom. group order 2, simple B[10384]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,4,6,9,12,14],[1,2,4,8,11,13,14],[1,3,5,6,12,13,14],[1,3,8,9,10,11,12],[1,4,5,9,10,11,14],[1,4,6,7,10,11,13],[1,5,7,8,11,12,13],[1,5,7,9,10,12,14],[1,6,7,8,9,13,14],[2,3,5,7,11,12,14],[2,3,7,9,10,13,14],[2,4,7,8,10,12,14],[2,4,7,9,11,12,13],[2,5,6,8,9,10,11],[2,5,6,8,10,13,14],[2,5,6,9,11,12,13],[3,4,5,7,8,9,13],[3,4,5,10,11,13,14],[3,4,6,8,11,12,14],[3,4,6,9,10,12,13],[3,6,7,8,9,11,14],[4,5,6,7,8,10,12]]; G[10384]:=Group([(1,3)(4,7)(5,6)(8,10)(9,11)]); # Design 10385: autom. group order 2, simple B[10385]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,4,6,9,12,14],[1,2,4,8,11,13,14],[1,3,5,6,12,13,14],[1,3,8,9,10,11,12],[1,4,5,9,10,11,14],[1,4,6,7,10,11,13],[1,5,7,8,11,13,14],[1,5,7,9,10,12,13],[1,6,7,8,9,12,14],[2,3,5,7,11,12,14],[2,3,7,9,10,13,14],[2,4,7,8,10,12,14],[2,4,7,9,11,12,13],[2,5,6,8,9,10,11],[2,5,6,8,10,13,14],[2,5,6,9,11,12,13],[3,4,5,7,8,9,13],[3,4,5,10,11,12,14],[3,4,6,8,11,12,13],[3,4,6,9,10,13,14],[3,6,7,8,9,11,14],[4,5,6,7,8,10,12]]; G[10385]:=Group([(1,3)(4,7)(5,6)(8,10)(9,11)]); # Design 10386: autom. group order 2, simple B[10386]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,4,6,9,12,14],[1,2,4,8,11,13,14],[1,3,5,6,12,13,14],[1,3,8,9,10,11,12],[1,4,5,9,10,11,14],[1,4,6,7,10,11,13],[1,5,7,8,11,13,14],[1,5,7,9,10,12,14],[1,6,7,8,9,12,13],[2,3,5,7,11,12,14],[2,3,7,9,10,13,14],[2,4,7,8,10,12,14],[2,4,7,9,11,12,13],[2,5,6,8,9,10,11],[2,5,6,8,10,13,14],[2,5,6,9,11,12,13],[3,4,5,7,8,9,13],[3,4,5,10,11,12,13],[3,4,6,8,11,12,14],[3,4,6,9,10,13,14],[3,6,7,8,9,11,14],[4,5,6,7,8,10,12]]; G[10386]:=Group([(1,3)(4,7)(5,6)(8,10)(9,11)]); # Design 10387: autom. group order 2, simple, residual B[10387]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,6,9,12,14],[1,2,4,7,10,13,14],[1,3,5,6,9,13,14],[1,3,7,8,10,12,14],[1,4,5,7,10,11,12],[1,4,8,9,11,12,14],[1,5,6,7,8,12,13],[1,5,9,10,11,13,14],[1,6,7,8,9,11,13],[2,3,5,11,12,13,14],[2,3,7,8,9,12,13],[2,4,6,8,10,13,14],[2,4,7,9,11,12,13],[2,5,6,7,9,10,11],[2,5,6,8,11,12,14],[2,5,7,8,9,10,14],[3,4,5,7,8,11,14],[3,4,5,9,10,12,13],[3,4,6,7,11,13,14],[3,4,6,8,9,10,11],[3,6,7,9,10,12,14],[4,5,6,8,10,12,13]]; G[10387]:=Group([(1,7)(2,14)(4,10)(5,12)(6,8)]); # Design 10388: autom. group order 2, simple, residual B[10388]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,6,9,10,14],[1,2,4,7,11,13,14],[1,3,5,11,12,13,14],[1,3,6,7,8,12,14],[1,4,5,10,12,13,14],[1,4,6,8,9,12,13],[1,5,7,8,9,10,12],[1,5,7,9,10,11,14],[1,6,7,8,9,11,13],[2,3,5,7,9,12,13],[2,3,8,9,10,13,14],[2,4,7,8,12,13,14],[2,4,7,9,10,11,12],[2,5,6,7,8,11,14],[2,5,6,8,10,12,14],[2,5,6,9,11,12,13],[3,4,5,6,7,10,13],[3,4,5,8,9,11,14],[3,4,6,9,11,12,14],[3,4,7,8,10,11,12],[3,6,7,9,10,13,14],[4,5,6,8,10,11,13]]; G[10388]:=Group([(1,14)(2,9)(4,10)(5,13)]); # Design 10389: autom. group order 2, simple, residual B[10389]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,6,9,10,14],[1,2,4,7,12,13,14],[1,3,5,8,12,13,14],[1,3,6,7,8,12,14],[1,4,5,10,11,13,14],[1,4,6,9,11,12,13],[1,5,7,8,9,10,14],[1,5,7,9,10,11,12],[1,6,7,8,9,11,13],[2,3,5,7,9,11,13],[2,3,9,10,12,13,14],[2,4,7,8,9,10,12],[2,4,7,8,11,13,14],[2,5,6,7,11,12,14],[2,5,6,8,9,12,13],[2,5,6,8,10,11,14],[3,4,5,6,7,10,13],[3,4,5,9,11,12,14],[3,4,6,8,9,11,14],[3,4,7,8,10,11,12],[3,6,7,9,10,13,14],[4,5,6,8,10,12,13]]; G[10389]:=Group([(1,14)(2,9)(4,10)(5,13)(8,12)]); # Design 10390: autom. group order 2, simple, residual B[10390]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,11,13],[1,2,4,7,9,12,14],[1,3,5,8,9,12,13],[1,3,6,9,10,11,12],[1,4,5,9,10,11,14],[1,4,7,11,12,13,14],[1,5,6,7,8,10,14],[1,5,6,8,11,13,14],[1,7,8,9,10,12,13],[2,3,5,11,12,13,14],[2,3,7,8,9,11,14],[2,4,6,8,10,12,14],[2,4,8,9,10,11,13],[2,5,6,7,9,10,13],[2,5,6,9,12,13,14],[2,5,7,8,10,11,12],[3,4,5,7,10,11,13],[3,4,5,8,10,12,14],[3,4,6,7,8,12,13],[3,4,6,9,10,13,14],[3,6,7,8,9,11,14],[4,5,6,7,9,11,12]]; G[10390]:=Group([(1,8)(3,11)(5,13)(6,9)(7,10)(12,14)]); # Design 10391: autom. group order 2, simple, residual B[10391]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,11,13],[1,2,4,7,9,12,14],[1,3,5,8,11,12,13],[1,3,6,9,10,11,14],[1,4,5,9,10,11,14],[1,4,7,11,12,13,14],[1,5,6,7,8,10,12],[1,5,6,8,9,13,14],[1,7,8,9,10,12,13],[2,3,5,9,12,13,14],[2,3,7,8,9,11,12],[2,4,6,8,10,12,14],[2,4,8,9,10,11,13],[2,5,6,7,9,10,13],[2,5,6,11,12,13,14],[2,5,7,8,10,11,14],[3,4,5,7,10,11,13],[3,4,5,8,10,12,14],[3,4,6,7,8,13,14],[3,4,6,9,10,12,13],[3,6,7,8,9,11,14],[4,5,6,7,9,11,12]]; G[10391]:=Group([(1,8)(3,11)(5,13)(6,9)(7,10)]); # Design 10392: autom. group order 2, simple B[10392]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,4,6,12,13,14],[1,2,4,7,10,11,12],[1,3,5,8,10,12,14],[1,3,6,9,10,11,14],[1,4,5,9,10,13,14],[1,4,7,8,10,11,13],[1,5,6,7,8,13,14],[1,5,6,9,11,12,13],[1,7,8,9,11,12,14],[2,3,5,10,11,13,14],[2,3,7,8,9,13,14],[2,4,6,8,11,13,14],[2,4,8,9,10,12,14],[2,5,6,7,10,12,14],[2,5,6,8,9,11,12],[2,5,7,9,10,11,13],[3,4,5,7,11,12,14],[3,4,5,8,11,12,13],[3,4,6,7,9,11,14],[3,4,6,9,10,12,13],[3,6,7,8,10,12,13],[4,5,6,7,8,9,10]]; G[10392]:=Group([(1,12)(2,13)(4,6)(5,10)(7,9)]); # Design 10393: autom. group order 2, simple B[10393]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,11,13],[1,2,4,9,10,12,14],[1,3,5,8,11,12,13],[1,3,6,9,10,11,14],[1,4,5,7,9,11,14],[1,4,7,11,12,13,14],[1,5,6,7,8,10,12],[1,5,6,8,9,13,14],[1,7,8,9,10,12,13],[2,3,5,9,12,13,14],[2,3,7,8,9,11,12],[2,4,6,7,8,12,14],[2,4,8,9,10,11,13],[2,5,6,7,9,10,13],[2,5,6,11,12,13,14],[2,5,7,8,10,11,14],[3,4,5,7,10,11,13],[3,4,5,8,10,12,14],[3,4,6,7,9,12,13],[3,4,6,8,10,13,14],[3,6,7,8,9,11,14],[4,5,6,9,10,11,12]]; G[10393]:=Group([(1,8)(3,11)(5,13)(6,9)(7,10)]); # Design 10394: autom. group order 2, simple, residual B[10394]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,6,10,13,14],[1,2,4,9,12,13,14],[1,3,5,7,11,12,13],[1,3,6,7,8,9,14],[1,4,5,8,9,10,12],[1,4,7,10,11,12,14],[1,5,6,7,9,11,13],[1,5,6,8,12,13,14],[1,7,8,9,10,11,14],[2,3,5,9,10,11,14],[2,3,7,8,12,13,14],[2,4,6,7,8,11,12],[2,4,7,8,9,11,13],[2,5,6,7,8,10,14],[2,5,6,9,11,12,14],[2,5,7,9,10,12,13],[3,4,5,7,10,13,14],[3,4,5,8,11,12,14],[3,4,6,7,9,10,12],[3,4,6,9,11,13,14],[3,6,8,9,10,12,13],[4,5,6,8,10,11,13]]; G[10394]:=Group([(2,11)(3,10)(4,7)(5,14)(6,12)]); # Design 10395: autom. group order 2, simple B[10395]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,12,13,14],[1,2,4,8,10,11,12],[1,3,5,9,10,11,12],[1,3,6,8,9,10,13],[1,4,5,7,10,13,14],[1,4,7,9,11,12,13],[1,5,6,7,9,12,14],[1,5,8,10,11,13,14],[1,6,7,8,9,11,14],[2,3,5,9,11,13,14],[2,3,7,9,10,12,14],[2,4,6,8,9,11,14],[2,4,7,9,10,11,13],[2,5,6,7,8,10,13],[2,5,6,10,11,12,14],[2,5,7,8,9,12,13],[3,4,5,6,11,12,13],[3,4,5,7,8,11,14],[3,4,6,9,10,13,14],[3,4,7,8,10,12,14],[3,6,7,8,11,12,13],[4,5,6,8,9,10,12]]; G[10395]:=Group([(1,6)(2,9)(3,14)(4,8)(5,11)(10,12)]); # Design 10396: autom. group order 2, simple B[10396]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,4,6,10,12,14],[1,2,4,7,10,11,13],[1,3,5,9,11,12,14],[1,3,6,8,11,13,14],[1,4,5,7,11,12,14],[1,4,8,9,10,12,13],[1,5,6,8,11,12,13],[1,5,7,8,9,10,14],[1,6,7,9,10,13,14],[2,3,5,10,12,13,14],[2,3,7,8,12,13,14],[2,4,6,9,11,12,14],[2,4,8,9,11,13,14],[2,5,6,7,9,11,13],[2,5,6,8,9,10,12],[2,5,7,8,10,11,14],[3,4,5,6,10,13,14],[3,4,5,9,10,11,13],[3,4,6,7,8,9,14],[3,4,7,8,10,11,12],[3,6,7,9,10,11,12],[4,5,6,7,8,12,13]]; G[10396]:=Group([(1,11)(2,10)(4,7)(5,12)(6,8)]); # Design 10397: autom. group order 2, simple B[10397]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,4,6,10,12,13],[1,2,4,7,10,11,14],[1,3,5,11,12,13,14],[1,3,6,8,9,11,14],[1,4,5,7,11,12,14],[1,4,8,9,10,12,14],[1,5,6,8,11,12,13],[1,5,7,8,9,10,13],[1,6,7,9,10,13,14],[2,3,5,9,10,12,14],[2,3,7,8,12,13,14],[2,4,6,9,11,12,13],[2,4,8,9,11,13,14],[2,5,6,7,9,11,14],[2,5,6,8,10,12,14],[2,5,7,8,10,11,13],[3,4,5,6,10,13,14],[3,4,5,9,10,11,13],[3,4,6,7,8,13,14],[3,4,7,8,10,11,12],[3,6,7,9,10,11,12],[4,5,6,7,8,9,12]]; G[10397]:=Group([(1,11)(2,10)(4,7)(5,12)(6,8)]); # Design 10398: autom. group order 2, simple B[10398]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,4,6,10,12,14],[1,2,4,7,10,11,13],[1,3,5,11,12,13,14],[1,3,6,8,9,11,14],[1,4,5,7,11,12,14],[1,4,8,9,10,12,13],[1,5,6,8,11,12,13],[1,5,7,8,9,10,14],[1,6,7,9,10,13,14],[2,3,5,9,10,12,14],[2,3,7,8,12,13,14],[2,4,6,9,11,12,14],[2,4,8,9,11,13,14],[2,5,6,7,9,11,13],[2,5,6,8,10,12,13],[2,5,7,8,10,11,14],[3,4,5,6,10,13,14],[3,4,5,9,10,11,13],[3,4,6,7,8,13,14],[3,4,7,8,10,11,12],[3,6,7,9,10,11,12],[4,5,6,7,8,9,12]]; G[10398]:=Group([(1,11)(2,10)(4,7)(5,12)(6,8)]); # Design 10399: autom. group order 2, simple B[10399]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,11,12,14],[1,3,5,7,10,11,13],[1,3,6,7,9,11,14],[1,4,5,8,9,10,14],[1,4,7,8,10,11,12],[1,5,6,9,10,13,14],[1,5,7,8,12,13,14],[1,6,8,9,11,12,13],[2,3,5,9,10,12,13],[2,3,8,9,11,13,14],[2,4,6,7,8,13,14],[2,4,7,9,10,11,13],[2,5,6,7,8,9,12],[2,5,6,10,11,12,14],[2,5,7,8,10,11,14],[3,4,5,6,11,12,14],[3,4,5,8,11,12,13],[3,4,6,8,10,13,14],[3,4,7,9,10,12,14],[3,6,7,8,9,10,12],[4,5,6,7,9,11,13]]; G[10399]:=Group([(1,11)(3,10)(4,14)(6,8)(9,12)]); # Design 10400: autom. group order 2, simple B[10400]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,6,9,11,14],[1,2,4,8,12,13,14],[1,3,5,9,10,13,14],[1,3,6,7,12,13,14],[1,4,5,7,10,11,14],[1,4,8,9,10,11,12],[1,5,6,9,11,12,13],[1,5,7,8,11,12,13],[1,6,7,8,9,10,14],[2,3,5,7,9,11,12],[2,3,8,10,11,12,14],[2,4,6,7,10,11,13],[2,4,7,9,12,13,14],[2,5,6,8,9,10,13],[2,5,6,8,11,13,14],[2,5,7,9,10,12,14],[3,4,5,6,8,12,14],[3,4,5,10,11,13,14],[3,4,6,9,10,12,13],[3,4,7,8,9,11,13],[3,6,7,8,9,11,14],[4,5,6,7,8,10,12]]; G[10400]:=Group([(2,12)(3,11)(4,13)(7,9)]); # Design 10401: autom. group order 2, simple, residual B[10401]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,6,9,11,14],[1,2,4,8,12,13,14],[1,3,5,9,10,13,14],[1,3,6,7,12,13,14],[1,4,5,7,10,11,14],[1,4,8,9,10,11,12],[1,5,6,9,11,12,13],[1,5,7,8,11,12,13],[1,6,7,8,9,10,14],[2,3,5,10,11,12,14],[2,3,7,8,9,11,12],[2,4,6,7,10,11,13],[2,4,7,9,12,13,14],[2,5,6,8,9,10,13],[2,5,6,8,11,13,14],[2,5,7,9,10,12,14],[3,4,5,6,8,12,14],[3,4,5,7,9,11,13],[3,4,6,9,10,12,13],[3,4,8,10,11,13,14],[3,6,7,8,9,11,14],[4,5,6,7,8,10,12]]; G[10401]:=Group([(2,12)(3,11)(4,13)(7,9)]); # Design 10402: autom. group order 2, simple B[10402]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,11,13],[1,2,4,9,12,13,14],[1,3,5,9,10,11,13],[1,3,6,7,9,12,14],[1,4,5,7,8,10,14],[1,4,8,9,10,11,12],[1,5,6,8,11,12,14],[1,5,7,11,12,13,14],[1,6,7,8,9,10,13],[2,3,5,8,11,13,14],[2,3,8,9,10,12,14],[2,4,6,7,9,11,14],[2,4,7,10,11,12,13],[2,5,6,7,8,10,12],[2,5,6,9,10,11,14],[2,5,7,8,9,12,13],[3,4,5,6,10,12,13],[3,4,5,7,9,11,12],[3,4,6,8,12,13,14],[3,4,7,8,10,11,14],[3,6,7,8,9,11,13],[4,5,6,9,10,13,14]]; G[10402]:=Group([(2,12)(3,11)(4,14)(7,8)(9,13)]); # Design 10403: autom. group order 2, simple B[10403]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,4,6,9,10,13],[1,2,4,10,11,13,14],[1,3,5,8,10,12,14],[1,3,6,7,9,11,14],[1,4,5,9,11,12,14],[1,4,7,8,11,12,13],[1,5,6,7,8,10,12],[1,5,7,9,10,13,14],[1,6,8,9,11,12,13],[2,3,5,11,12,13,14],[2,3,7,9,10,11,12],[2,4,6,8,10,12,14],[2,4,7,8,9,12,14],[2,5,6,7,9,12,13],[2,5,6,8,9,11,14],[2,5,7,8,10,11,13],[3,4,5,6,8,11,13],[3,4,5,9,10,12,13],[3,4,6,7,12,13,14],[3,4,7,8,9,10,11],[3,6,8,9,10,13,14],[4,5,6,7,10,11,14]]; G[10403]:=Group([(2,12)(3,11)(4,8)(5,13)(7,9)]); # Design 10404: autom. group order 2, simple, residual B[10404]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,4,6,10,11,13],[1,2,4,8,10,12,14],[1,3,5,10,11,13,14],[1,3,6,7,9,12,14],[1,4,5,9,11,12,14],[1,4,7,9,10,13,14],[1,5,6,7,8,9,10],[1,5,7,8,11,12,13],[1,6,8,9,11,12,13],[2,3,5,9,11,13,14],[2,3,8,9,10,12,13],[2,4,6,7,9,11,13],[2,4,7,8,11,12,14],[2,5,6,7,12,13,14],[2,5,6,9,10,12,14],[2,5,7,8,9,10,11],[3,4,5,6,8,12,13],[3,4,5,7,10,11,12],[3,4,6,8,9,11,14],[3,4,7,9,10,12,13],[3,6,7,8,10,11,14],[4,5,6,8,10,13,14]]; G[10404]:=Group([(2,11)(3,12)(4,13)(5,8)(7,9)]); # Design 10405: autom. group order 2, simple, residual B[10405]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,10,12,14],[1,3,5,8,9,12,13],[1,3,6,7,9,11,14],[1,4,5,8,11,13,14],[1,4,7,9,10,11,13],[1,5,6,7,10,11,12],[1,5,8,10,11,12,14],[1,6,7,8,9,13,14],[2,3,5,9,10,11,14],[2,3,7,8,10,11,13],[2,4,6,8,11,13,14],[2,4,7,8,9,11,12],[2,5,6,7,8,12,14],[2,5,6,9,10,13,14],[2,5,7,9,11,12,13],[3,4,5,6,11,12,13],[3,4,5,7,10,13,14],[3,4,6,9,11,12,14],[3,4,7,8,10,12,14],[3,6,8,9,10,12,13],[4,5,6,7,8,9,10]]; G[10405]:=Group([(2,10)(3,11)(4,12)(9,14)]); # Design 10406: autom. group order 2, simple, residual B[10406]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,4,6,10,12,13],[1,2,4,9,10,12,14],[1,3,5,8,9,12,13],[1,3,6,7,9,11,14],[1,4,5,8,11,13,14],[1,4,7,9,10,11,13],[1,5,6,7,10,11,12],[1,5,8,10,11,12,14],[1,6,7,8,9,13,14],[2,3,5,9,10,11,14],[2,3,7,8,10,11,13],[2,4,6,8,11,13,14],[2,4,7,8,9,11,12],[2,5,6,7,8,12,14],[2,5,6,9,11,12,13],[2,5,7,9,10,13,14],[3,4,5,6,10,13,14],[3,4,5,7,11,12,13],[3,4,6,9,11,12,14],[3,4,7,8,10,12,14],[3,6,8,9,10,12,13],[4,5,6,7,8,9,10]]; G[10406]:=Group([(2,10)(3,11)(4,12)(9,14)]); # Design 10407: autom. group order 2, simple, residual B[10407]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,6,11,13,14],[1,2,4,9,11,12,14],[1,3,5,9,12,13,14],[1,3,6,8,9,13,14],[1,4,5,7,8,10,14],[1,4,7,9,10,11,13],[1,5,6,7,10,12,14],[1,5,8,9,10,11,12],[1,6,7,8,11,12,13],[2,3,5,7,11,12,14],[2,3,7,9,10,12,13],[2,4,6,8,9,10,12],[2,4,7,8,12,13,14],[2,5,6,7,8,9,11],[2,5,6,9,10,13,14],[2,5,8,10,11,13,14],[3,4,5,6,10,11,13],[3,4,5,8,11,12,13],[3,4,6,8,10,12,14],[3,4,7,9,10,11,14],[3,6,7,8,9,11,14],[4,5,6,7,9,12,13]]; G[10407]:=Group([(1,13)(3,14)(4,10)(6,8)(7,11)]); # Design 10408: autom. group order 2, simple, residual B[10408]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,4,6,11,12,14],[1,2,4,9,10,13,14],[1,3,5,8,10,11,14],[1,3,6,9,12,13,14],[1,4,5,7,9,10,12],[1,4,7,8,11,12,13],[1,5,6,8,9,12,13],[1,5,7,10,11,13,14],[1,6,7,8,9,11,14],[2,3,5,8,12,13,14],[2,3,7,9,11,12,14],[2,4,6,7,8,13,14],[2,4,8,9,10,11,13],[2,5,6,7,9,10,14],[2,5,6,10,11,12,13],[2,5,7,8,9,11,12],[3,4,5,6,7,11,13],[3,4,5,9,11,13,14],[3,4,6,9,10,11,12],[3,4,7,8,10,12,14],[3,6,7,8,9,10,13],[4,5,6,8,10,12,14]]; G[10408]:=Group([(1,11)(2,13)(3,5)(6,7)(8,14)]); # Design 10409: autom. group order 2, simple B[10409]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,9,10],[1,2,3,7,11,12,13],[1,2,4,6,10,11,12],[1,2,4,8,11,13,14],[1,3,5,9,11,12,14],[1,3,6,10,11,13,14],[1,4,5,9,10,13,14],[1,4,7,9,10,12,13],[1,5,6,7,8,13,14],[1,5,7,8,10,11,12],[1,6,7,8,9,12,14],[2,3,5,7,10,13,14],[2,3,7,8,10,12,14],[2,4,6,8,12,13,14],[2,4,7,9,10,11,14],[2,5,6,7,9,11,13],[2,5,6,9,11,12,14],[2,5,8,9,10,12,13],[3,4,5,6,10,12,14],[3,4,5,8,11,12,13],[3,4,6,7,9,12,13],[3,4,7,8,9,11,14],[3,6,8,9,10,11,13],[4,5,6,7,8,10,11]]; G[10409]:=Group([(1,6)(2,10)(4,11)(5,13)(7,14)]); # Design 10410: autom. group order 2, simple, residual B[10410]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,11,13,14],[1,2,4,8,9,10,13],[1,3,5,8,11,12,14],[1,3,6,9,12,13,14],[1,4,5,9,10,11,12],[1,4,7,8,11,12,13],[1,5,6,7,8,10,14],[1,5,7,9,12,13,14],[1,6,7,8,9,10,11],[2,3,5,7,9,11,13],[2,3,8,9,10,12,14],[2,4,6,7,8,12,14],[2,4,7,9,11,12,14],[2,5,6,8,9,11,14],[2,5,6,10,11,12,13],[2,5,7,8,10,12,13],[3,4,5,6,8,12,13],[3,4,5,7,10,11,14],[3,4,6,7,9,10,12],[3,4,8,10,11,13,14],[3,6,7,8,9,11,13],[4,5,6,9,10,13,14]]; G[10410]:=Group([(1,10)(3,13)(4,12)(6,8)(9,11)]); # Design 10411: autom. group order 2, simple, residual B[10411]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,6,7,13,14],[1,2,4,9,10,12,14],[1,3,5,7,10,13,14],[1,3,6,8,9,12,14],[1,4,5,7,10,11,12],[1,4,8,11,12,13,14],[1,5,6,9,11,13,14],[1,5,7,8,9,12,13],[1,6,7,8,9,10,11],[2,3,5,9,11,12,14],[2,3,7,8,11,13,14],[2,4,6,8,9,10,13],[2,4,7,9,11,12,13],[2,5,6,7,8,11,12],[2,5,6,10,12,13,14],[2,5,7,8,9,10,14],[3,4,5,6,8,12,13],[3,4,5,9,10,11,13],[3,4,6,7,9,11,14],[3,4,7,8,10,12,14],[3,6,7,9,10,12,13],[4,5,6,8,10,11,14]]; G[10411]:=Group([(1,3)(4,11)(5,10)(6,8)(7,13)(9,12)]); # Design 10412: autom. group order 2, simple B[10412]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,6,7,13,14],[1,2,4,9,10,12,14],[1,3,5,7,10,13,14],[1,3,6,8,9,12,14],[1,4,5,11,12,13,14],[1,4,7,8,10,11,12],[1,5,6,7,9,10,11],[1,5,7,8,9,12,13],[1,6,8,9,11,13,14],[2,3,5,9,11,12,14],[2,3,7,8,11,13,14],[2,4,6,8,9,10,13],[2,4,7,9,11,12,13],[2,5,6,7,8,11,12],[2,5,6,10,12,13,14],[2,5,7,8,9,10,14],[3,4,5,6,9,11,13],[3,4,5,8,10,12,13],[3,4,6,7,8,12,14],[3,4,7,9,10,11,14],[3,6,7,9,10,12,13],[4,5,6,8,10,11,14]]; G[10412]:=Group([(1,3)(4,11)(5,10)(6,8)(7,13)(9,12)]); # Design 10413: autom. group order 2, simple B[10413]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,9,10,13],[1,2,4,6,7,11,14],[1,2,4,8,12,13,14],[1,3,5,7,10,13,14],[1,3,6,9,12,13,14],[1,4,5,9,10,11,14],[1,4,7,8,10,11,12],[1,5,6,9,11,12,13],[1,5,7,8,11,12,13],[1,6,7,8,9,10,14],[2,3,5,7,9,11,12],[2,3,8,10,11,12,14],[2,4,6,9,10,11,13],[2,4,7,9,12,13,14],[2,5,6,7,8,10,13],[2,5,6,8,11,13,14],[2,5,7,9,10,12,14],[3,4,5,6,8,12,14],[3,4,5,10,11,13,14],[3,4,6,7,10,12,13],[3,4,7,8,9,11,13],[3,6,7,8,9,11,14],[4,5,6,8,9,10,12]]; G[10413]:=Group([(2,12)(3,11)(4,13)(7,9)]); # Design 10414: autom. group order 2, simple, residual B[10414]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,6,7,12,14],[1,2,4,9,10,13,14],[1,3,5,9,12,13,14],[1,3,6,8,12,13,14],[1,4,5,10,11,13,14],[1,4,7,9,10,11,12],[1,5,6,7,8,11,13],[1,5,7,8,9,10,12],[1,6,7,8,9,11,14],[2,3,5,7,8,10,14],[2,3,7,9,11,12,13],[2,4,6,8,9,11,13],[2,4,7,8,12,13,14],[2,5,6,7,9,10,13],[2,5,6,10,11,12,14],[2,5,8,9,11,12,14],[3,4,5,6,9,11,14],[3,4,5,7,11,12,13],[3,4,6,8,9,10,12],[3,4,7,8,10,11,14],[3,6,7,9,10,13,14],[4,5,6,8,10,12,13]]; G[10414]:=Group([(1,12)(3,14)(4,11)(7,10)]); # Design 10415: autom. group order 2, simple, residual B[10415]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,6,7,12,14],[1,2,4,9,10,13,14],[1,3,5,8,12,13,14],[1,3,6,9,12,13,14],[1,4,5,10,11,13,14],[1,4,7,8,10,11,12],[1,5,6,7,9,11,13],[1,5,7,8,9,10,12],[1,6,7,8,9,11,14],[2,3,5,7,9,10,14],[2,3,7,9,11,12,13],[2,4,6,8,9,11,13],[2,4,7,8,12,13,14],[2,5,6,7,8,10,13],[2,5,6,10,11,12,14],[2,5,8,9,11,12,14],[3,4,5,6,8,11,14],[3,4,5,7,11,12,13],[3,4,6,8,9,10,12],[3,4,7,9,10,11,14],[3,6,7,8,10,13,14],[4,5,6,9,10,12,13]]; G[10415]:=Group([(1,12)(3,14)(4,11)(7,10)]); # Design 10416: autom. group order 2, simple B[10416]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,12,13,14],[1,2,4,6,10,12,13],[1,2,4,7,9,12,14],[1,3,5,7,11,12,14],[1,3,6,8,9,13,14],[1,4,5,7,10,11,13],[1,4,8,9,10,11,14],[1,5,6,8,11,12,13],[1,5,7,8,9,12,13],[1,6,7,9,10,11,14],[2,3,5,9,10,11,12],[2,3,7,8,9,11,13],[2,4,6,7,9,11,13],[2,4,8,11,12,13,14],[2,5,6,7,8,10,14],[2,5,6,9,11,12,14],[2,5,7,8,10,13,14],[3,4,5,6,11,13,14],[3,4,5,9,10,13,14],[3,4,6,7,8,12,14],[3,4,7,8,10,11,12],[3,6,7,9,10,12,13],[4,5,6,8,9,10,12]]; G[10416]:=Group([(1,12)(2,5)(3,9)(4,11)(7,14)(8,10)]); # Design 10417: autom. group order 2, simple B[10417]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,6,11,13,14],[1,2,4,7,10,12,13],[1,3,5,7,11,12,14],[1,3,6,8,9,13,14],[1,4,5,8,9,10,12],[1,4,7,8,11,12,14],[1,5,6,7,9,12,13],[1,5,9,10,11,13,14],[1,6,7,8,9,10,11],[2,3,5,7,9,11,13],[2,3,7,8,9,12,14],[2,4,6,7,9,10,14],[2,4,8,9,11,12,13],[2,5,6,8,11,12,13],[2,5,6,9,10,12,14],[2,5,7,8,10,11,14],[3,4,5,6,8,10,11],[3,4,5,10,12,13,14],[3,4,6,9,11,12,14],[3,4,7,9,10,11,13],[3,6,7,8,10,12,13],[4,5,6,7,8,13,14]]; G[10417]:=Group([(2,9)(3,8)(4,5)(6,10)(7,12)]); # Design 10418: autom. group order 2, simple B[10418]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,6,11,13,14],[1,2,4,7,10,12,13],[1,3,5,7,11,12,14],[1,3,6,8,9,13,14],[1,4,5,8,9,10,12],[1,4,7,8,11,12,14],[1,5,6,7,9,12,13],[1,5,9,10,11,13,14],[1,6,7,8,9,10,11],[2,3,5,7,9,11,13],[2,3,7,8,9,12,14],[2,4,6,7,9,10,14],[2,4,8,9,11,12,13],[2,5,6,8,11,12,14],[2,5,6,9,10,12,14],[2,5,7,8,10,11,13],[3,4,5,6,8,10,11],[3,4,5,10,12,13,14],[3,4,6,9,11,12,13],[3,4,7,9,10,11,14],[3,6,7,8,10,12,13],[4,5,6,7,8,13,14]]; G[10418]:=Group([(2,9)(3,8)(4,5)(6,10)(7,12)]); # Design 10419: autom. group order 2, simple, residual B[10419]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,6,11,13,14],[1,2,4,7,10,12,13],[1,3,5,7,11,12,14],[1,3,6,8,9,13,14],[1,4,5,8,9,10,12],[1,4,7,8,11,12,14],[1,5,6,7,9,12,13],[1,5,9,10,11,13,14],[1,6,7,8,9,10,11],[2,3,5,7,9,11,14],[2,3,7,8,9,12,13],[2,4,6,7,9,10,14],[2,4,8,9,11,12,14],[2,5,6,8,11,12,13],[2,5,6,9,10,12,14],[2,5,7,8,10,11,13],[3,4,5,6,8,10,11],[3,4,5,10,12,13,14],[3,4,6,9,11,12,13],[3,4,7,9,10,11,13],[3,6,7,8,10,12,14],[4,5,6,7,8,13,14]]; G[10419]:=Group([(2,9)(3,8)(4,5)(6,10)(7,12)]); # Design 10420: autom. group order 2, simple, residual B[10420]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,6,9,12,14],[1,2,4,7,10,13,14],[1,3,5,9,10,12,14],[1,3,6,7,8,13,14],[1,4,5,7,10,11,12],[1,4,8,11,12,13,14],[1,5,6,9,11,13,14],[1,5,7,8,9,12,13],[1,6,7,8,9,10,11],[2,3,5,7,11,13,14],[2,3,8,9,11,12,14],[2,4,6,8,9,10,13],[2,4,7,9,11,12,13],[2,5,6,7,8,11,12],[2,5,6,10,12,13,14],[2,5,7,8,9,10,14],[3,4,5,6,8,12,13],[3,4,5,9,10,11,13],[3,4,6,7,9,11,14],[3,4,7,8,10,12,14],[3,6,7,9,10,12,13],[4,5,6,8,10,11,14]]; G[10420]:=Group([(1,3)(4,11)(5,10)(6,8)(7,13)(9,12)]); # Design 10421: autom. group order 2, simple B[10421]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,6,9,12,14],[1,2,4,7,10,13,14],[1,3,5,9,10,12,14],[1,3,6,7,8,13,14],[1,4,5,11,12,13,14],[1,4,7,8,10,11,12],[1,5,6,7,9,10,11],[1,5,7,8,9,12,13],[1,6,8,9,11,13,14],[2,3,5,7,11,13,14],[2,3,8,9,11,12,14],[2,4,6,8,9,10,13],[2,4,7,9,11,12,13],[2,5,6,7,8,11,12],[2,5,6,10,12,13,14],[2,5,7,8,9,10,14],[3,4,5,6,9,11,13],[3,4,5,8,10,12,13],[3,4,6,7,8,12,14],[3,4,7,9,10,11,14],[3,6,7,9,10,12,13],[4,5,6,8,10,11,14]]; G[10421]:=Group([(1,3)(4,11)(5,10)(6,8)(7,13)(9,12)]); # Design 10422: autom. group order 2, simple B[10422]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,6,8,11,13],[1,2,4,7,9,12,14],[1,3,5,11,12,13,14],[1,3,6,7,8,12,14],[1,4,5,9,10,11,12],[1,4,7,10,11,13,14],[1,5,6,7,9,10,14],[1,5,7,8,9,11,13],[1,6,8,9,10,12,13],[2,3,5,9,10,12,13],[2,3,7,9,11,13,14],[2,4,6,9,10,13,14],[2,4,7,8,10,11,12],[2,5,6,7,11,12,13],[2,5,6,8,9,11,14],[2,5,7,8,10,12,14],[3,4,5,6,10,11,14],[3,4,5,7,8,10,13],[3,4,6,7,9,12,13],[3,4,8,9,11,12,14],[3,6,7,8,9,10,11],[4,5,6,8,12,13,14]]; G[10422]:=Group([(1,12)(3,10)(4,7)(5,8)(6,11)(9,14)]); # Design 10423: autom. group order 2, simple, residual B[10423]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,6,9,10,14],[1,2,4,7,11,13,14],[1,3,5,11,12,13,14],[1,3,6,7,8,12,14],[1,4,5,10,12,13,14],[1,4,7,8,9,12,13],[1,5,6,8,9,10,12],[1,5,7,9,10,11,14],[1,6,7,8,9,11,13],[2,3,5,7,9,12,13],[2,3,8,9,10,13,14],[2,4,6,8,12,13,14],[2,4,7,9,10,11,12],[2,5,6,7,8,11,14],[2,5,6,9,11,12,13],[2,5,7,8,10,12,14],[3,4,5,6,7,10,13],[3,4,5,8,9,11,14],[3,4,6,9,11,12,14],[3,4,7,8,10,11,12],[3,6,7,9,10,13,14],[4,5,6,8,10,11,13]]; G[10423]:=Group([(1,14)(2,9)(4,10)(5,13)]); # Design 10424: autom. group order 2, simple B[10424]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,6,8,12,13],[1,2,4,7,10,13,14],[1,3,5,8,9,11,13],[1,3,6,9,12,13,14],[1,4,5,7,11,12,14],[1,4,8,9,10,12,14],[1,5,6,7,9,10,14],[1,5,7,8,11,12,13],[1,6,7,8,9,10,11],[2,3,5,7,9,12,14],[2,3,7,8,9,10,12],[2,4,6,8,9,11,14],[2,4,7,9,11,12,13],[2,5,6,7,8,10,13],[2,5,6,9,11,13,14],[2,5,8,10,11,12,14],[3,4,5,6,10,11,12],[3,4,5,8,10,13,14],[3,4,6,7,8,11,14],[3,4,7,9,10,11,13],[3,6,7,8,12,13,14],[4,5,6,9,10,12,13]]; G[10424]:=Group([(1,6)(2,12)(4,13)(5,14)(7,9)]); # Design 10425: autom. group order 2, simple, residual B[10425]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,6,10,11,13],[1,2,4,8,9,12,14],[1,3,5,7,11,13,14],[1,3,6,7,9,12,14],[1,4,5,10,11,12,14],[1,4,7,9,10,13,14],[1,5,6,7,8,9,10],[1,5,7,8,11,12,13],[1,6,8,9,11,12,13],[2,3,5,9,11,13,14],[2,3,7,8,10,12,13],[2,4,6,7,9,11,13],[2,4,7,8,11,12,14],[2,5,6,7,10,12,14],[2,5,6,9,12,13,14],[2,5,7,8,9,10,11],[3,4,5,6,8,12,13],[3,4,5,9,10,11,12],[3,4,6,7,8,11,14],[3,4,7,9,10,12,13],[3,6,8,9,10,11,14],[4,5,6,8,10,13,14]]; G[10425]:=Group([(2,11)(3,12)(4,13)(5,8)(7,9)]); # Design 10426: autom. group order 2, simple, residual B[10426]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,4,6,9,12,13],[1,2,4,10,11,12,14],[1,3,5,9,11,13,14],[1,3,7,9,10,13,14],[1,4,5,6,11,13,14],[1,4,7,8,9,11,12],[1,5,6,8,10,12,14],[1,5,7,8,10,11,13],[1,6,7,8,9,12,14],[2,3,5,8,11,12,14],[2,3,6,7,9,11,14],[2,4,7,8,11,13,14],[2,4,8,9,10,13,14],[2,5,6,7,12,13,14],[2,5,6,8,9,10,13],[2,5,7,9,10,11,12],[3,4,5,7,8,12,13],[3,4,5,9,10,12,14],[3,4,6,7,8,10,14],[3,4,6,10,11,12,13],[3,6,8,9,11,12,13],[4,5,6,7,9,10,11]]; G[10426]:=Group([(1,13)(2,12)(4,6)(5,11)(7,10)]); # Design 10427: autom. group order 2, simple B[10427]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,4,6,9,12,13],[1,2,4,10,11,12,14],[1,3,5,8,11,13,14],[1,3,7,9,10,13,14],[1,4,5,6,11,13,14],[1,4,7,8,9,11,12],[1,5,6,8,10,12,14],[1,5,7,9,10,11,13],[1,6,7,8,9,12,14],[2,3,5,9,11,12,14],[2,3,6,7,9,11,14],[2,4,7,8,11,13,14],[2,4,8,9,10,13,14],[2,5,6,7,12,13,14],[2,5,6,8,9,10,13],[2,5,7,8,10,11,12],[3,4,5,7,8,12,13],[3,4,5,9,10,12,14],[3,4,6,7,8,10,14],[3,4,6,10,11,12,13],[3,6,8,9,11,12,13],[4,5,6,7,9,10,11]]; G[10427]:=Group([(1,13)(2,12)(4,6)(5,11)(7,10)]); # Design 10428: autom. group order 2, simple, residual B[10428]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,13,14],[1,2,4,9,11,12,13],[1,3,5,8,9,11,14],[1,3,7,9,10,12,14],[1,4,5,6,10,11,14],[1,4,8,10,11,12,13],[1,5,6,7,9,12,13],[1,5,7,8,11,12,14],[1,6,7,8,9,10,13],[2,3,5,9,10,11,13],[2,3,6,7,8,11,12],[2,4,7,8,9,10,14],[2,4,7,9,11,12,14],[2,5,6,8,10,12,14],[2,5,6,9,12,13,14],[2,5,7,8,10,11,13],[3,4,5,7,8,12,13],[3,4,5,10,12,13,14],[3,4,6,7,11,13,14],[3,4,6,8,9,10,12],[3,6,8,9,11,13,14],[4,5,6,7,9,10,11]]; G[10428]:=Group([(1,14)(2,13)(4,6)(5,11)]); # Design 10429: autom. group order 2, simple, residual B[10429]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,4,6,11,12,14],[1,2,4,9,10,13,14],[1,3,5,7,9,12,13],[1,3,9,10,11,12,14],[1,4,5,7,10,11,14],[1,4,6,8,12,13,14],[1,5,6,8,9,11,12],[1,5,7,8,10,13,14],[1,6,7,8,9,11,13],[2,3,5,6,12,13,14],[2,3,7,8,11,13,14],[2,4,7,8,9,10,12],[2,4,7,9,11,12,13],[2,5,6,8,9,10,14],[2,5,6,9,10,11,13],[2,5,7,8,11,12,14],[3,4,5,8,10,11,12],[3,4,5,9,11,13,14],[3,4,6,7,8,9,14],[3,4,6,8,10,11,13],[3,6,7,9,10,12,14],[4,5,6,7,10,12,13]]; G[10429]:=Group([(1,9)(2,14)(4,10)(5,12)(8,11)]); # Design 10430: autom. group order 2, simple, residual B[10430]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,4,6,11,12,14],[1,2,4,9,10,11,13],[1,3,5,9,10,12,14],[1,3,7,8,11,12,14],[1,4,5,7,10,13,14],[1,4,6,9,12,13,14],[1,5,6,8,9,11,13],[1,5,7,8,11,12,13],[1,6,7,8,9,10,14],[2,3,5,6,8,13,14],[2,3,7,9,12,13,14],[2,4,7,8,9,10,12],[2,4,7,8,11,13,14],[2,5,6,7,9,12,13],[2,5,6,10,11,12,14],[2,5,8,9,10,11,14],[3,4,5,7,9,11,14],[3,4,5,10,11,12,13],[3,4,6,8,9,11,12],[3,4,6,8,10,13,14],[3,6,7,9,10,11,13],[4,5,6,7,8,10,12]]; G[10430]:=Group([(1,11)(3,14)(4,10)(7,12)]); # Design 10431: autom. group order 2, simple, residual B[10431]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,4,6,11,12,14],[1,2,4,9,12,13,14],[1,3,5,9,10,12,14],[1,3,7,8,11,12,14],[1,4,5,7,10,13,14],[1,4,6,9,10,11,13],[1,5,6,8,9,11,13],[1,5,7,8,11,12,13],[1,6,7,8,9,10,14],[2,3,5,6,8,13,14],[2,3,7,9,10,11,13],[2,4,7,8,9,10,12],[2,4,7,8,11,13,14],[2,5,6,7,9,12,13],[2,5,6,10,11,12,14],[2,5,8,9,10,11,14],[3,4,5,7,9,11,14],[3,4,5,10,11,12,13],[3,4,6,8,9,11,12],[3,4,6,8,10,13,14],[3,6,7,9,12,13,14],[4,5,6,7,8,10,12]]; G[10431]:=Group([(1,11)(3,14)(4,10)(7,12)]); # Design 10432: autom. group order 2, simple, residual B[10432]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,4,6,10,13,14],[1,2,4,9,10,11,13],[1,3,5,9,10,12,14],[1,3,7,8,9,10,12],[1,4,5,7,11,12,13],[1,4,6,8,9,11,12],[1,5,6,7,9,13,14],[1,5,8,11,12,13,14],[1,6,7,8,10,11,14],[2,3,5,6,11,12,14],[2,3,8,9,11,13,14],[2,4,7,8,10,12,14],[2,4,7,9,11,12,14],[2,5,6,7,8,9,11],[2,5,6,8,10,12,13],[2,5,7,9,10,12,13],[3,4,5,7,10,11,14],[3,4,5,8,10,11,13],[3,4,6,7,8,12,13],[3,4,6,9,12,13,14],[3,6,7,9,10,11,13],[4,5,6,8,9,10,14]]; G[10432]:=Group([(1,10)(3,12)(4,13)(7,8)]); # Design 10433: autom. group order 2, simple, residual B[10433]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,11,13],[1,2,4,9,11,13,14],[1,3,5,8,10,11,12],[1,3,7,9,11,12,14],[1,4,5,9,10,12,13],[1,4,6,7,8,12,14],[1,5,6,7,10,13,14],[1,5,7,8,9,12,13],[1,6,8,9,10,11,14],[2,3,5,6,9,12,14],[2,3,7,8,9,10,13],[2,4,7,8,10,12,14],[2,4,7,9,10,11,12],[2,5,6,7,11,12,13],[2,5,6,8,9,10,14],[2,5,8,11,12,13,14],[3,4,5,7,8,11,14],[3,4,5,10,11,13,14],[3,4,6,8,10,12,13],[3,4,6,9,12,13,14],[3,6,7,8,9,11,13],[4,5,6,7,9,10,11]]; G[10433]:=Group([(1,11)(3,12)(4,13)(9,14)]); # Design 10434: autom. group order 2, simple, residual B[10434]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,11,13],[1,2,4,9,11,13,14],[1,3,5,8,10,11,12],[1,3,7,9,11,12,14],[1,4,5,10,12,13,14],[1,4,6,7,8,12,14],[1,5,6,7,9,10,13],[1,5,7,8,9,12,13],[1,6,8,9,10,11,14],[2,3,5,6,9,12,14],[2,3,7,8,10,13,14],[2,4,7,8,9,10,12],[2,4,7,9,10,11,12],[2,5,6,7,11,12,13],[2,5,6,8,9,10,14],[2,5,8,11,12,13,14],[3,4,5,7,8,11,14],[3,4,5,9,10,11,13],[3,4,6,8,10,12,13],[3,4,6,9,12,13,14],[3,6,7,8,9,11,13],[4,5,6,7,10,11,14]]; G[10434]:=Group([(1,11)(3,12)(4,13)(9,14)]); # Design 10435: autom. group order 2, simple, residual B[10435]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,4,6,10,13,14],[1,2,4,9,10,11,13],[1,3,5,9,10,12,14],[1,3,7,8,9,10,12],[1,4,5,8,11,12,13],[1,4,6,7,9,11,12],[1,5,6,8,9,13,14],[1,5,7,11,12,13,14],[1,6,7,8,10,11,14],[2,3,5,6,11,12,14],[2,3,7,9,11,13,14],[2,4,7,8,10,12,14],[2,4,8,9,11,12,14],[2,5,6,7,8,9,11],[2,5,6,8,10,12,13],[2,5,7,9,10,12,13],[3,4,5,7,10,11,13],[3,4,5,8,10,11,14],[3,4,6,7,8,12,13],[3,4,6,9,12,13,14],[3,6,8,9,10,11,13],[4,5,6,7,9,10,14]]; G[10435]:=Group([(1,10)(3,12)(4,13)(7,8)]); # Design 10436: autom. group order 2, simple, residual B[10436]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,11,13],[1,2,4,9,11,13,14],[1,3,5,8,10,11,12],[1,3,7,9,11,12,14],[1,4,5,9,10,12,13],[1,4,6,8,10,12,14],[1,5,6,7,10,13,14],[1,5,7,8,9,11,14],[1,6,7,8,9,12,13],[2,3,5,6,9,12,14],[2,3,7,8,9,10,13],[2,4,7,8,10,12,14],[2,4,7,9,10,11,12],[2,5,6,7,11,12,13],[2,5,6,8,9,10,14],[2,5,8,11,12,13,14],[3,4,5,7,8,12,13],[3,4,5,10,11,13,14],[3,4,6,7,8,11,14],[3,4,6,9,12,13,14],[3,6,8,9,10,11,13],[4,5,6,7,9,10,11]]; G[10436]:=Group([(1,11)(3,12)(4,13)(9,14)]); # Design 10437: autom. group order 2, simple, residual B[10437]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,11,13],[1,2,4,9,11,13,14],[1,3,5,8,10,11,12],[1,3,7,9,11,12,14],[1,4,5,9,10,12,13],[1,4,6,8,10,12,14],[1,5,6,7,10,13,14],[1,5,7,8,9,12,13],[1,6,7,8,9,11,14],[2,3,5,6,9,12,14],[2,3,7,8,9,10,13],[2,4,7,8,10,12,14],[2,4,7,9,10,11,12],[2,5,6,7,11,12,13],[2,5,6,8,9,10,14],[2,5,8,11,12,13,14],[3,4,5,7,8,11,14],[3,4,5,10,11,13,14],[3,4,6,7,8,12,13],[3,4,6,9,12,13,14],[3,6,8,9,10,11,13],[4,5,6,7,9,10,11]]; G[10437]:=Group([(1,11)(3,12)(4,13)(9,14)]); # Design 10438: autom. group order 2, simple B[10438]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,8,10,11,14],[1,3,5,9,10,12,13],[1,3,7,9,10,12,14],[1,4,5,7,11,12,13],[1,4,6,9,11,13,14],[1,5,6,8,9,10,11],[1,5,7,8,11,12,14],[1,6,7,8,9,13,14],[2,3,5,7,11,13,14],[2,3,6,9,11,12,14],[2,4,7,8,9,11,12],[2,4,7,9,10,13,14],[2,5,6,8,10,12,14],[2,5,6,9,11,12,13],[2,5,7,8,9,10,13],[3,4,5,6,8,13,14],[3,4,5,9,10,11,14],[3,4,6,7,8,9,12],[3,4,8,10,11,12,13],[3,6,7,8,10,11,13],[4,5,6,7,10,12,14]]; G[10438]:=Group([(1,10)(2,11)(4,8)(5,13)(9,12)]); # Design 10439: autom. group order 2, simple, residual B[10439]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,6,11,13,14],[1,2,4,9,10,12,13],[1,3,5,9,12,13,14],[1,3,7,9,11,13,14],[1,4,5,7,8,10,14],[1,4,6,8,9,11,14],[1,5,6,7,10,12,14],[1,5,8,9,10,11,12],[1,6,7,8,11,12,13],[2,3,5,7,11,12,14],[2,3,6,8,9,12,14],[2,4,7,8,12,13,14],[2,4,7,9,10,11,12],[2,5,6,7,8,9,11],[2,5,6,9,10,13,14],[2,5,8,10,11,13,14],[3,4,5,6,10,11,13],[3,4,5,8,11,12,13],[3,4,6,8,10,12,14],[3,4,7,9,10,11,14],[3,6,7,8,9,10,13],[4,5,6,7,9,12,13]]; G[10439]:=Group([(1,13)(3,14)(4,10)(6,8)(7,11)]); # Design 10440: autom. group order 2, simple, residual B[10440]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,11],[1,2,4,6,10,13,14],[1,2,4,9,11,12,13],[1,3,5,10,12,13,14],[1,3,7,9,12,13,14],[1,4,5,8,11,12,13],[1,4,6,7,8,12,14],[1,5,6,7,8,9,13],[1,5,7,9,10,11,14],[1,6,8,9,10,11,14],[2,3,5,7,11,13,14],[2,3,6,8,9,13,14],[2,4,7,8,10,13,14],[2,4,7,9,11,12,14],[2,5,6,8,11,12,14],[2,5,6,9,10,12,13],[2,5,7,8,9,10,12],[3,4,5,6,9,11,14],[3,4,5,8,10,12,14],[3,4,6,7,9,10,12],[3,4,8,9,10,11,13],[3,6,7,8,11,12,13],[4,5,6,7,10,11,13]]; G[10440]:=Group([(2,10)(3,11)(4,14)(5,9)(7,8)]); # Design 10441: autom. group order 2, simple, residual B[10441]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,6,7,11,13],[1,2,4,9,12,13,14],[1,3,5,7,9,12,14],[1,3,7,10,11,13,14],[1,4,5,8,10,11,14],[1,4,6,8,11,12,14],[1,5,6,7,9,10,13],[1,5,8,9,11,12,13],[1,6,7,8,9,10,12],[2,3,5,7,8,11,12],[2,3,6,8,9,13,14],[2,4,7,8,9,10,11],[2,4,7,9,10,12,14],[2,5,6,8,10,12,13],[2,5,6,9,10,11,14],[2,5,7,11,12,13,14],[3,4,5,6,10,12,14],[3,4,5,9,10,11,13],[3,4,6,9,11,12,13],[3,4,7,8,10,12,13],[3,6,7,8,9,11,14],[4,5,6,7,8,13,14]]; G[10441]:=Group([(1,9)(3,14)(5,12)(6,10)(8,13)]); # Design 10442: autom. group order 2, simple, residual B[10442]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,6,12,13,14],[1,2,4,7,9,10,12],[1,3,5,7,12,13,14],[1,3,8,9,10,13,14],[1,4,5,8,9,11,14],[1,4,6,7,8,11,13],[1,5,6,9,11,12,14],[1,5,7,8,10,11,12],[1,6,7,9,10,13,14],[2,3,5,7,11,13,14],[2,3,6,7,8,9,14],[2,4,7,9,10,11,14],[2,4,8,11,12,13,14],[2,5,6,8,9,12,13],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,6,10,11,14],[3,4,5,9,10,12,13],[3,4,6,8,10,12,14],[3,4,7,9,11,12,13],[3,6,7,8,9,11,12],[4,5,6,7,8,10,13]]; G[10442]:=Group([(2,14)(3,9)(4,13)(5,10)]); # Design 10443: autom. group order 2, simple B[10443]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,6,10,13,14],[1,2,4,7,9,12,14],[1,3,5,7,8,11,14],[1,3,9,11,12,13,14],[1,4,5,10,12,13,14],[1,4,6,7,8,11,13],[1,5,6,8,9,10,12],[1,5,7,9,10,11,14],[1,6,7,8,9,12,13],[2,3,5,8,12,13,14],[2,3,6,7,9,10,14],[2,4,7,8,11,12,14],[2,4,8,9,10,11,12],[2,5,6,7,11,12,13],[2,5,6,8,9,13,14],[2,5,7,9,10,11,13],[3,4,5,6,9,11,12],[3,4,5,7,10,12,13],[3,4,6,9,11,13,14],[3,4,7,8,9,10,13],[3,6,7,8,10,12,14],[4,5,6,8,10,11,14]]; G[10443]:=Group([(2,3)(4,11)(5,10)(6,8)(7,13)(9,12)]); # Design 10444: autom. group order 2, simple, residual B[10444]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,4,6,12,13,14],[1,2,4,9,10,12,14],[1,3,5,8,11,12,13],[1,3,7,8,9,11,14],[1,4,5,7,10,11,12],[1,4,6,8,9,11,14],[1,5,6,8,10,13,14],[1,5,7,9,10,13,14],[1,6,7,9,11,12,13],[2,3,5,7,9,13,14],[2,3,9,10,11,12,14],[2,4,7,8,10,11,13],[2,4,7,8,11,13,14],[2,5,6,7,8,12,14],[2,5,6,8,9,11,12],[2,5,6,9,10,11,13],[3,4,5,6,10,11,14],[3,4,5,11,12,13,14],[3,4,6,7,9,12,13],[3,4,6,8,9,10,13],[3,6,7,8,10,12,14],[4,5,7,8,9,10,12]]; G[10444]:=Group([(1,9)(2,13)(3,6)(4,7)(5,12)(8,11)]); # Design 10445: autom. group order 2, simple, residual B[10445]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,4,6,11,12,14],[1,2,4,9,10,13,14],[1,3,5,7,9,12,13],[1,3,9,10,11,12,14],[1,4,5,7,10,11,14],[1,4,7,8,12,13,14],[1,5,6,8,9,11,12],[1,5,6,8,10,13,14],[1,6,7,8,9,11,13],[2,3,5,6,12,13,14],[2,3,7,8,11,13,14],[2,4,6,9,11,12,13],[2,4,7,8,9,10,12],[2,5,6,8,9,10,14],[2,5,7,8,11,12,14],[2,5,7,9,10,11,13],[3,4,5,8,10,11,12],[3,4,5,9,11,13,14],[3,4,6,7,8,9,14],[3,4,6,8,10,11,13],[3,6,7,9,10,12,14],[4,5,6,7,10,12,13]]; G[10445]:=Group([(1,9)(2,14)(4,10)(5,12)(8,11)]); # Design 10446: autom. group order 2, simple, residual B[10446]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,4,6,11,12,14],[1,2,4,9,10,13,14],[1,3,5,8,11,12,14],[1,3,7,8,11,13,14],[1,4,5,7,10,12,14],[1,4,7,9,11,12,13],[1,5,6,8,9,10,14],[1,5,6,9,10,11,13],[1,6,7,8,9,12,13],[2,3,5,6,9,12,13],[2,3,9,10,11,12,14],[2,4,6,8,12,13,14],[2,4,7,8,9,10,11],[2,5,6,7,11,13,14],[2,5,7,8,9,11,12],[2,5,7,8,10,13,14],[3,4,5,7,10,12,13],[3,4,5,9,11,13,14],[3,4,6,7,8,9,14],[3,4,6,8,10,11,13],[3,6,7,9,10,12,14],[4,5,6,8,10,11,12]]; G[10446]:=Group([(1,14)(2,9)(4,10)(5,12)(8,11)]); # Design 10447: autom. group order 2, simple, residual B[10447]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,6,11,13,14],[1,2,4,9,10,12,14],[1,3,5,7,11,12,14],[1,3,9,10,11,13,14],[1,4,5,9,10,12,13],[1,4,7,8,12,13,14],[1,5,6,7,8,10,14],[1,5,6,8,9,11,13],[1,6,7,8,9,11,12],[2,3,5,6,12,13,14],[2,3,7,8,9,12,13],[2,4,6,7,9,11,13],[2,4,7,8,10,11,14],[2,5,6,8,9,10,14],[2,5,7,9,10,11,12],[2,5,8,11,12,13,14],[3,4,5,7,9,11,14],[3,4,5,8,10,11,13],[3,4,6,8,9,12,14],[3,4,6,8,10,11,12],[3,6,7,9,10,13,14],[4,5,6,7,10,12,13]]; G[10447]:=Group([(1,9)(2,14)(4,10)(5,13)(8,11)]); # Design 10448: autom. group order 2, simple, residual B[10448]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,4,6,10,13,14],[1,2,4,9,10,11,13],[1,3,5,8,9,10,12],[1,3,7,9,10,11,14],[1,4,5,7,11,12,14],[1,4,8,9,11,12,13],[1,5,6,7,9,13,14],[1,5,6,8,10,12,14],[1,6,7,8,11,12,13],[2,3,5,6,11,12,13],[2,3,7,9,11,12,14],[2,4,6,7,8,9,12],[2,4,7,8,10,12,14],[2,5,6,8,9,11,14],[2,5,7,8,10,11,13],[2,5,9,10,12,13,14],[3,4,5,7,10,12,13],[3,4,5,8,11,13,14],[3,4,6,8,10,11,14],[3,4,6,9,12,13,14],[3,6,7,8,9,10,13],[4,5,6,7,9,10,11]]; G[10448]:=Group([(2,12)(3,11)(4,8)(5,13)]); # Design 10449: autom. group order 2, simple, residual B[10449]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,9,10,13],[1,2,4,6,10,13,14],[1,2,4,7,11,13,14],[1,3,5,7,8,12,14],[1,3,7,9,10,11,14],[1,4,5,9,10,11,12],[1,4,8,9,11,12,13],[1,5,6,7,9,13,14],[1,5,6,8,10,12,14],[1,6,7,8,11,12,13],[2,3,5,6,11,12,13],[2,3,7,9,11,12,14],[2,4,6,7,8,9,12],[2,4,7,8,10,12,14],[2,5,6,8,9,11,14],[2,5,7,8,10,11,13],[2,5,9,10,12,13,14],[3,4,5,7,10,12,13],[3,4,5,8,11,13,14],[3,4,6,8,10,11,14],[3,4,6,9,12,13,14],[3,6,7,8,9,10,13],[4,5,6,7,9,10,11]]; G[10449]:=Group([(2,12)(3,11)(4,8)(5,13)]); # Design 10450: autom. group order 2, simple B[10450]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,10,12,13],[1,2,4,8,10,11,14],[1,3,5,9,10,12,13],[1,3,7,9,10,12,14],[1,4,5,7,11,12,13],[1,4,7,9,11,13,14],[1,5,6,8,9,10,11],[1,5,6,8,11,12,14],[1,6,7,8,9,13,14],[2,3,5,7,11,13,14],[2,3,6,9,11,12,14],[2,4,6,9,10,13,14],[2,4,7,8,9,11,12],[2,5,6,9,11,12,13],[2,5,7,8,9,10,13],[2,5,7,8,10,12,14],[3,4,5,6,8,13,14],[3,4,5,9,10,11,14],[3,4,6,7,8,9,12],[3,4,8,10,11,12,13],[3,6,7,8,10,11,13],[4,5,6,7,10,12,14]]; G[10450]:=Group([(1,10)(2,11)(4,8)(5,13)(9,12)]); # Design 10451: autom. group order 2, simple, residual B[10451]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,4,6,10,13,14],[1,2,4,9,10,11,13],[1,3,5,8,9,10,12],[1,3,7,9,10,11,14],[1,4,5,7,11,12,14],[1,4,8,9,11,12,13],[1,5,6,7,9,13,14],[1,5,6,8,10,12,14],[1,6,7,8,11,12,13],[2,3,5,7,11,12,13],[2,3,6,9,11,12,14],[2,4,6,7,8,10,12],[2,4,7,8,9,12,14],[2,5,6,8,9,11,14],[2,5,7,9,10,12,13],[2,5,8,10,11,13,14],[3,4,5,6,8,11,13],[3,4,5,10,12,13,14],[3,4,6,9,12,13,14],[3,4,7,8,10,11,14],[3,6,7,8,9,10,13],[4,5,6,7,9,10,11]]; G[10451]:=Group([(2,12)(3,11)(4,8)(5,13)]); # Design 10452: autom. group order 2, simple B[10452]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,6,9,11,13],[1,2,4,7,12,13,14],[1,3,5,7,8,11,14],[1,3,7,9,10,11,13],[1,4,5,9,10,12,14],[1,4,8,10,11,12,13],[1,5,6,7,11,12,14],[1,5,6,8,9,10,12],[1,6,7,8,9,13,14],[2,3,5,7,10,12,13],[2,3,6,9,11,12,14],[2,4,6,7,8,10,14],[2,4,7,8,9,11,12],[2,5,6,9,10,13,14],[2,5,7,8,9,10,11],[2,5,8,11,12,13,14],[3,4,5,6,8,12,13],[3,4,5,9,11,13,14],[3,4,6,8,10,11,14],[3,4,7,9,10,12,14],[3,6,7,8,9,12,13],[4,5,6,7,10,11,13]]; G[10452]:=Group([(1,5)(2,11)(3,7)(4,14)(6,8)(9,12)]); # Design 10453: autom. group order 2, simple, residual B[10453]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,6,10,13,14],[1,2,4,7,9,11,13],[1,3,5,7,8,12,14],[1,3,7,9,10,11,14],[1,4,5,9,10,11,12],[1,4,8,11,12,13,14],[1,5,6,7,9,13,14],[1,5,6,8,9,10,12],[1,6,7,8,11,12,13],[2,3,5,7,11,12,13],[2,3,6,9,11,12,14],[2,4,6,7,8,10,12],[2,4,7,8,9,12,14],[2,5,6,9,12,13,14],[2,5,7,8,10,11,14],[2,5,8,9,10,11,13],[3,4,5,6,8,11,13],[3,4,5,10,12,13,14],[3,4,6,8,9,11,14],[3,4,7,9,10,12,13],[3,6,7,8,9,10,13],[4,5,6,7,10,11,14]]; G[10453]:=Group([(2,12)(3,11)(4,8)(5,13)(9,14)]); # Design 10454: autom. group order 2, simple B[10454]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,6,8,13,14],[1,2,4,7,10,12,13],[1,3,5,7,9,12,13],[1,3,7,8,9,11,13],[1,4,5,9,11,12,14],[1,4,7,8,10,12,14],[1,5,6,7,8,11,14],[1,5,6,9,10,13,14],[1,6,8,9,10,11,12],[2,3,5,8,11,12,14],[2,3,7,8,9,10,14],[2,4,6,7,9,11,14],[2,4,8,9,11,12,13],[2,5,6,7,11,12,13],[2,5,6,8,9,10,13],[2,5,7,9,10,12,14],[3,4,5,6,8,10,12],[3,4,5,10,11,13,14],[3,4,6,7,9,10,11],[3,4,6,9,12,13,14],[3,6,7,8,12,13,14],[4,5,7,8,10,11,13]]; G[10454]:=Group([(1,13)(2,14)(4,6)(5,12)(7,9)]); # Design 10455: autom. group order 2, simple B[10455]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,6,8,13,14],[1,2,4,7,10,12,13],[1,3,5,7,9,12,13],[1,3,7,8,9,11,13],[1,4,5,9,11,12,14],[1,4,7,8,11,12,14],[1,5,6,7,8,10,14],[1,5,6,9,10,13,14],[1,6,8,9,10,11,12],[2,3,5,8,11,12,14],[2,3,7,8,9,10,14],[2,4,6,7,9,11,14],[2,4,8,9,10,12,13],[2,5,6,7,11,12,13],[2,5,6,8,9,11,13],[2,5,7,9,10,12,14],[3,4,5,6,8,10,12],[3,4,5,10,11,13,14],[3,4,6,7,9,10,11],[3,4,6,9,12,13,14],[3,6,7,8,12,13,14],[4,5,7,8,10,11,13]]; G[10455]:=Group([(1,13)(2,14)(4,6)(5,12)(7,9)]); # Design 10456: autom. group order 2, simple B[10456]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,7,11,13,14],[1,2,4,9,10,11,13],[1,3,5,6,9,12,13],[1,3,6,7,8,11,14],[1,4,5,8,11,12,14],[1,4,6,7,9,12,14],[1,5,6,10,12,13,14],[1,5,7,8,9,10,13],[1,7,8,9,10,11,12],[2,3,5,7,11,12,13],[2,3,7,9,10,12,14],[2,4,6,7,8,10,12],[2,4,6,8,9,12,13],[2,5,6,8,9,11,14],[2,5,6,9,10,11,14],[2,5,7,8,12,13,14],[3,4,5,7,9,10,14],[3,4,5,8,10,11,12],[3,4,6,8,10,13,14],[3,4,9,11,12,13,14],[3,6,7,8,9,11,13],[4,5,6,7,10,11,13]]; G[10456]:=Group([(1,13)(2,5)(3,7)(4,12)(6,11)(9,14)]); # Design 10457: autom. group order 2, simple, residual B[10457]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,9,11,13,14],[1,2,4,11,12,13,14],[1,3,5,6,9,13,14],[1,3,6,9,10,11,12],[1,4,5,7,8,10,11],[1,4,6,7,8,12,14],[1,5,7,10,12,13,14],[1,5,8,9,10,12,14],[1,6,7,8,9,11,13],[2,3,5,7,11,12,14],[2,3,7,8,9,12,14],[2,4,6,7,9,10,14],[2,4,6,8,10,12,13],[2,5,6,8,9,12,13],[2,5,6,8,10,11,14],[2,5,7,9,10,11,13],[3,4,5,6,10,13,14],[3,4,5,8,11,12,13],[3,4,7,9,10,12,13],[3,4,8,9,10,11,14],[3,6,7,8,11,13,14],[4,5,6,7,9,11,12]]; G[10457]:=Group([(2,12)(3,14)(4,10)(6,13)]); # Design 10458: autom. group order 2, simple, residual B[10458]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,9,13,14],[1,2,4,10,12,13,14],[1,3,5,6,8,13,14],[1,3,6,7,9,11,12],[1,4,5,7,9,10,11],[1,4,6,8,10,12,14],[1,5,7,11,12,13,14],[1,5,8,9,11,12,14],[1,6,7,8,9,10,13],[2,3,5,7,10,12,14],[2,3,7,8,9,12,14],[2,4,6,7,8,11,14],[2,4,6,9,11,12,13],[2,5,6,8,9,12,13],[2,5,6,9,10,11,14],[2,5,7,8,10,11,13],[3,4,5,6,11,13,14],[3,4,5,9,10,12,13],[3,4,7,8,11,12,13],[3,4,8,9,10,11,14],[3,6,7,9,10,13,14],[4,5,6,7,8,10,12]]; G[10458]:=Group([(2,12)(3,14)(4,11)(6,13)]); # Design 10459: autom. group order 2, simple, residual B[10459]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,4,9,10,12,14],[1,3,5,6,8,12,13],[1,3,7,8,9,11,13],[1,4,5,6,7,11,14],[1,4,8,9,11,12,14],[1,5,6,8,9,10,14],[1,5,7,11,12,13,14],[1,6,7,9,10,12,13],[2,3,5,9,12,13,14],[2,3,6,7,9,11,14],[2,4,6,7,9,12,13],[2,4,6,8,11,13,14],[2,5,6,8,10,11,12],[2,5,7,8,9,11,12],[2,5,7,8,10,13,14],[3,4,5,7,10,12,14],[3,4,5,9,10,11,13],[3,4,6,8,12,13,14],[3,4,7,8,10,11,12],[3,6,7,8,9,10,14],[4,5,6,9,10,11,13]]; G[10459]:=Group([(1,2)(4,10)(5,11)(7,12)(8,14)(9,13)]); # Design 10460: autom. group order 2, simple B[10460]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,12,13,14],[1,2,4,7,10,11,12],[1,2,4,9,11,12,13],[1,3,5,6,7,12,14],[1,3,7,8,9,12,13],[1,4,5,8,10,13,14],[1,4,6,9,11,13,14],[1,5,6,9,10,12,14],[1,5,7,8,9,10,11],[1,6,7,8,11,13,14],[2,3,5,8,11,13,14],[2,3,7,9,10,13,14],[2,4,6,7,8,9,14],[2,4,6,8,10,12,14],[2,5,6,7,10,11,13],[2,5,6,8,9,12,13],[2,5,7,9,11,12,14],[3,4,5,6,11,12,13],[3,4,5,9,10,11,14],[3,4,6,7,9,10,13],[3,4,7,8,11,12,14],[3,6,8,9,10,11,12],[4,5,7,8,10,12,13]]; G[10460]:=Group([(2,14)(3,13)(4,6)(5,11)(7,9)]); # Design 10461: autom. group order 2, simple, residual B[10461]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,12,13],[1,2,4,7,8,10,14],[1,2,4,9,11,13,14],[1,3,5,6,8,12,14],[1,3,7,9,10,13,14],[1,4,5,7,10,12,13],[1,4,6,8,11,13,14],[1,5,6,7,9,11,13],[1,5,8,9,10,12,14],[1,6,7,8,9,11,12],[2,3,5,8,11,13,14],[2,3,7,8,9,12,13],[2,4,6,7,8,12,13],[2,4,6,9,10,12,14],[2,5,6,7,10,11,14],[2,5,6,9,12,13,14],[2,5,7,8,9,10,11],[3,4,5,6,9,10,13],[3,4,5,7,11,12,14],[3,4,6,8,9,10,11],[3,4,7,9,11,12,14],[3,6,7,8,10,13,14],[4,5,8,10,11,12,13]]; G[10461]:=Group([(1,7)(2,14)(4,10)(5,13)(6,9)]); # Design 10462: autom. group order 2, simple, residual B[10462]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,12,13,14],[1,2,4,7,11,12,13],[1,2,4,9,10,12,14],[1,3,5,6,7,12,14],[1,3,7,8,9,11,14],[1,4,5,8,9,10,13],[1,4,7,8,11,12,13],[1,5,6,8,11,13,14],[1,5,6,9,10,11,12],[1,6,7,9,10,13,14],[2,3,5,7,10,11,13],[2,3,6,8,9,12,13],[2,4,6,7,9,11,14],[2,4,6,8,10,11,14],[2,5,6,9,11,12,13],[2,5,7,8,9,12,14],[2,5,7,8,10,13,14],[3,4,5,9,11,13,14],[3,4,5,10,11,12,14],[3,4,6,7,9,10,13],[3,4,6,8,12,13,14],[3,7,8,9,10,11,12],[4,5,6,7,8,10,12]]; G[10462]:=Group([(1,12)(3,9)(4,13)(5,6)(7,11)(10,14)]); # Design 10463: autom. group order 2, simple B[10463]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,7,10,11,12],[1,2,4,9,11,13,14],[1,3,5,10,12,13,14],[1,3,6,7,8,9,13],[1,4,5,6,9,10,14],[1,4,6,7,12,13,14],[1,5,6,8,9,11,12],[1,5,7,8,11,12,13],[1,7,8,9,10,11,14],[2,3,5,7,8,11,14],[2,3,6,9,11,12,13],[2,4,6,8,11,13,14],[2,4,7,8,9,10,12],[2,5,6,7,9,10,13],[2,5,6,8,10,12,14],[2,5,7,9,12,13,14],[3,4,5,7,10,11,13],[3,4,5,9,11,12,14],[3,4,6,7,8,12,14],[3,4,8,9,10,12,13],[3,6,7,9,10,11,14],[4,5,6,8,10,11,13]]; G[10463]:=Group([(1,7)(2,10)(3,9)(4,11)(5,14)(6,8)]); # Design 10464: autom. group order 2, simple B[10464]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,7,10,11,13],[1,2,4,9,11,12,14],[1,3,5,10,12,13,14],[1,3,6,7,8,9,13],[1,4,5,6,9,10,14],[1,4,6,7,12,13,14],[1,5,6,8,9,11,12],[1,5,7,8,11,12,13],[1,7,8,9,10,11,14],[2,3,5,7,8,11,14],[2,3,6,9,11,12,13],[2,4,6,8,11,13,14],[2,4,7,8,9,10,12],[2,5,6,7,9,10,13],[2,5,6,8,10,12,14],[2,5,7,9,12,13,14],[3,4,5,7,10,11,12],[3,4,5,9,11,13,14],[3,4,6,7,8,12,14],[3,4,8,9,10,12,13],[3,6,7,9,10,11,14],[4,5,6,8,10,11,13]]; G[10464]:=Group([(1,7)(2,10)(3,9)(4,11)(5,14)(6,8)]); # Design 10465: autom. group order 2, simple, residual B[10465]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,9,10,13],[1,2,4,7,10,13,14],[1,2,4,10,11,12,14],[1,3,5,7,11,12,13],[1,3,6,7,8,11,14],[1,4,5,6,8,11,13],[1,4,6,9,12,13,14],[1,5,7,9,10,12,13],[1,5,8,9,11,12,14],[1,6,7,8,9,10,14],[2,3,5,7,9,12,14],[2,3,6,8,12,13,14],[2,4,6,7,9,11,12],[2,4,7,8,9,11,13],[2,5,6,8,10,12,13],[2,5,6,9,11,13,14],[2,5,7,8,10,11,14],[3,4,5,6,9,10,14],[3,4,5,10,11,13,14],[3,4,7,8,12,13,14],[3,4,8,9,10,11,12],[3,6,7,9,10,11,13],[4,5,6,7,8,10,12]]; G[10465]:=Group([(3,10)(5,14)(6,13)(8,12)(9,11)]); # Design 10466: autom. group order 2, simple, residual B[10466]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,12,13],[1,2,4,7,8,10,14],[1,2,4,9,11,13,14],[1,3,5,8,11,13,14],[1,3,6,8,9,12,14],[1,4,5,6,10,12,14],[1,4,7,9,10,12,13],[1,5,6,7,8,11,13],[1,5,7,9,11,12,14],[1,6,7,8,9,10,13],[2,3,5,7,9,10,14],[2,3,7,8,9,12,13],[2,4,6,7,8,11,12],[2,4,6,9,11,13,14],[2,5,6,7,12,13,14],[2,5,6,8,9,10,11],[2,5,8,10,12,13,14],[3,4,5,6,9,12,13],[3,4,5,7,10,11,13],[3,4,6,8,10,13,14],[3,4,7,8,11,12,14],[3,6,7,9,10,11,14],[4,5,8,9,10,11,12]]; G[10466]:=Group([(1,13)(3,14)(4,12)(9,10)]); # Design 10467: autom. group order 2, simple, residual B[10467]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,7,9,10,13],[1,2,4,11,12,13,14],[1,3,5,7,12,13,14],[1,3,6,9,10,12,14],[1,4,5,8,9,11,14],[1,4,6,7,8,11,12],[1,5,6,7,8,10,13],[1,5,6,9,11,13,14],[1,7,8,9,10,12,14],[2,3,5,7,8,12,14],[2,3,7,9,11,13,14],[2,4,6,7,9,10,14],[2,4,6,8,12,13,14],[2,5,6,7,9,11,12],[2,5,6,8,10,11,14],[2,5,8,9,10,12,13],[3,4,5,6,10,13,14],[3,4,5,9,10,11,12],[3,4,6,8,9,12,13],[3,4,7,8,10,11,14],[3,6,7,8,9,11,13],[4,5,7,10,11,12,13]]; G[10467]:=Group([(2,14)(3,9)(4,12)(5,10)(6,8)]); # Design 10468: autom. group order 2, simple, residual B[10468]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,7,10,11,13],[1,2,4,9,12,13,14],[1,3,5,7,9,12,14],[1,3,6,7,11,13,14],[1,4,5,8,10,11,14],[1,4,6,8,11,12,14],[1,5,6,7,9,10,13],[1,5,8,9,11,12,13],[1,6,7,8,9,10,12],[2,3,5,7,8,11,12],[2,3,6,8,9,13,14],[2,4,6,7,8,9,11],[2,4,7,9,10,12,14],[2,5,6,8,10,12,13],[2,5,6,9,10,11,14],[2,5,7,11,12,13,14],[3,4,5,6,10,12,14],[3,4,5,9,10,11,13],[3,4,6,9,11,12,13],[3,4,7,8,10,12,13],[3,7,8,9,10,11,14],[4,5,6,7,8,13,14]]; G[10468]:=Group([(1,9)(3,14)(5,12)(6,10)(8,13)]); # Design 10469: autom. group order 2, simple B[10469]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,8,12,13,14],[1,2,4,9,10,12,14],[1,3,5,8,10,13,14],[1,3,6,8,11,12,14],[1,4,5,7,10,11,14],[1,4,7,9,11,12,13],[1,5,6,7,9,12,13],[1,5,6,8,9,10,13],[1,6,7,8,9,11,14],[2,3,5,7,9,12,14],[2,3,7,8,9,11,13],[2,4,6,7,8,13,14],[2,4,6,8,9,10,11],[2,5,6,7,8,10,12],[2,5,6,11,12,13,14],[2,5,9,10,11,13,14],[3,4,5,6,9,11,14],[3,4,5,8,11,12,13],[3,4,6,7,10,13,14],[3,4,6,9,10,12,13],[3,7,8,9,10,12,14],[4,5,7,8,10,11,12]]; G[10469]:=Group([(1,13)(3,14)(4,11)(7,12)(8,10)]); # Design 10470: autom. group order 2, simple, residual B[10470]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,11,12,13],[1,2,4,7,12,13,14],[1,2,4,9,10,12,14],[1,3,5,7,9,10,14],[1,3,7,9,11,12,13],[1,4,5,6,8,11,12],[1,4,6,7,8,13,14],[1,5,6,10,11,13,14],[1,5,8,9,11,13,14],[1,6,7,8,9,10,12],[2,3,5,6,12,13,14],[2,3,6,8,9,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,11,13],[2,5,6,7,9,11,12],[2,5,7,8,9,10,13],[2,5,7,8,11,12,14],[3,4,5,7,10,11,14],[3,4,5,8,10,12,13],[3,4,6,7,9,11,13],[3,4,8,9,11,12,14],[3,6,7,8,10,12,14],[4,5,6,9,10,12,13]]; G[10470]:=Group([(2,13)(3,14)(4,11)(7,10)]); # Design 10471: autom. group order 2, simple, residual B[10471]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,7,8,13,14],[1,2,4,5,8,11,13],[1,2,4,6,9,12,14],[1,3,5,7,10,12,14],[1,3,6,9,10,11,13],[1,4,5,9,10,13,14],[1,4,7,8,10,11,12],[1,5,8,9,12,13,14],[1,6,7,8,9,10,11],[1,6,7,11,12,13,14],[2,3,7,9,10,12,13],[2,3,8,9,11,12,14],[2,4,6,7,10,13,14],[2,4,7,9,11,12,13],[2,5,6,8,10,12,13],[2,5,6,9,10,11,14],[2,5,7,8,10,11,14],[3,4,5,7,9,11,14],[3,4,5,10,11,12,13],[3,4,6,8,10,12,14],[3,4,6,8,11,13,14],[3,5,6,7,8,9,13],[4,5,6,7,8,9,12]]; G[10471]:=Group([(2,14)(3,13)(4,12)(6,9)(7,8)(10,11)]); # Design 10472: autom. group order 2, simple B[10472]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,7,8,11,13],[1,2,4,5,9,13,14],[1,2,4,6,10,12,14],[1,3,5,8,10,11,14],[1,3,6,9,12,13,14],[1,4,5,7,10,11,13],[1,4,8,9,11,12,13],[1,5,7,8,9,12,14],[1,6,7,8,10,13,14],[1,6,7,9,10,11,12],[2,3,7,8,10,12,14],[2,3,9,10,11,12,13],[2,4,6,7,8,12,13],[2,4,7,9,10,11,14],[2,5,6,8,9,10,13],[2,5,6,8,9,11,14],[2,5,7,11,12,13,14],[3,4,5,7,8,9,12],[3,4,5,10,12,13,14],[3,4,6,7,9,11,14],[3,4,6,8,11,13,14],[3,5,6,7,9,10,13],[4,5,6,8,10,11,12]]; G[10472]:=Group([(1,12)(2,8)(3,7)(6,9)(10,13)(11,14)]); # Design 10473: autom. group order 2, simple B[10473]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,7,8,13,14],[1,2,4,5,9,13,14],[1,2,4,6,10,11,13],[1,3,5,10,11,12,14],[1,3,7,9,11,12,13],[1,4,5,7,8,9,12],[1,4,6,8,10,12,14],[1,5,8,9,11,13,14],[1,6,7,8,10,11,13],[1,6,7,9,10,12,14],[2,3,6,8,12,13,14],[2,3,7,9,10,11,14],[2,4,7,8,11,12,14],[2,4,9,10,11,12,13],[2,5,6,7,9,10,14],[2,5,6,8,9,11,12],[2,5,7,8,10,12,13],[3,4,5,7,10,12,13],[3,4,5,8,10,11,14],[3,4,6,7,8,9,11],[3,4,6,9,12,13,14],[3,5,6,8,9,10,13],[4,5,6,7,11,13,14]]; G[10473]:=Group([(1,12)(3,11)(4,8)(7,9)(10,14)]); # Design 10474: autom. group order 2, simple, residual B[10474]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,7,9,12,13],[1,2,4,5,12,13,14],[1,2,4,6,10,11,12],[1,3,5,9,10,11,14],[1,3,7,8,10,12,14],[1,4,5,9,11,13,14],[1,4,6,7,8,13,14],[1,5,7,10,11,12,13],[1,6,7,8,9,11,14],[1,6,8,9,10,12,13],[2,3,6,9,12,13,14],[2,3,7,10,11,13,14],[2,4,7,8,9,11,13],[2,4,8,10,11,12,14],[2,5,6,7,9,10,14],[2,5,6,8,10,13,14],[2,5,7,8,9,11,12],[3,4,5,7,8,10,13],[3,4,5,8,9,12,14],[3,4,6,7,11,12,14],[3,4,6,9,10,11,13],[3,5,6,8,11,12,13],[4,5,6,7,9,10,12]]; G[10474]:=Group([(1,14)(3,10)(4,13)(7,8)(9,11)]); # Design 10475: autom. group order 2, simple B[10475]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,11,13],[1,2,4,5,7,13,14],[1,2,4,8,10,12,14],[1,3,5,6,10,13,14],[1,3,7,8,10,11,14],[1,4,5,7,9,11,12],[1,4,6,9,10,11,13],[1,5,8,9,12,13,14],[1,6,7,8,11,12,13],[1,6,7,9,10,12,14],[2,3,6,9,12,13,14],[2,3,7,10,11,12,13],[2,4,6,10,11,12,14],[2,4,7,9,11,13,14],[2,5,6,7,8,9,10],[2,5,6,8,9,11,14],[2,5,7,8,10,12,13],[3,4,5,8,11,12,14],[3,4,5,9,10,12,13],[3,4,6,7,8,9,12],[3,4,6,7,8,13,14],[3,5,7,9,10,11,14],[4,5,6,8,10,11,13]]; G[10475]:=Group([(1,5)(3,6)(4,7)(13,14)]); # Design 10476: autom. group order 2, simple B[10476]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,11,13],[1,2,4,5,7,13,14],[1,2,4,8,10,12,14],[1,3,5,6,10,13,14],[1,3,7,8,10,11,14],[1,4,5,7,9,11,12],[1,4,6,9,10,12,13],[1,5,8,9,12,13,14],[1,6,7,8,11,12,13],[1,6,7,9,10,11,14],[2,3,6,9,12,13,14],[2,3,7,10,11,12,13],[2,4,6,10,11,12,14],[2,4,7,9,11,13,14],[2,5,6,7,8,9,10],[2,5,6,8,9,11,14],[2,5,7,8,10,12,13],[3,4,5,8,11,12,14],[3,4,5,9,10,11,13],[3,4,6,7,8,9,12],[3,4,6,7,8,13,14],[3,5,7,9,10,12,14],[4,5,6,8,10,11,13]]; G[10476]:=Group([(1,5)(3,6)(4,7)(13,14)]); # Design 10477: autom. group order 2, simple, residual B[10477]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,11,13],[1,2,4,5,7,13,14],[1,2,4,8,10,12,14],[1,3,5,6,10,13,14],[1,3,7,8,10,11,14],[1,4,5,7,9,11,12],[1,4,6,9,10,12,13],[1,5,8,11,12,13,14],[1,6,7,8,9,12,13],[1,6,7,9,10,11,14],[2,3,6,9,12,13,14],[2,3,7,10,11,12,13],[2,4,6,10,11,12,14],[2,4,7,9,11,13,14],[2,5,6,7,8,9,10],[2,5,6,8,9,11,14],[2,5,7,8,10,12,13],[3,4,5,8,9,12,14],[3,4,5,9,10,11,13],[3,4,6,7,8,11,12],[3,4,6,7,8,13,14],[3,5,7,9,10,12,14],[4,5,6,8,10,11,13]]; G[10477]:=Group([(1,5)(3,6)(4,7)(13,14)]); # Design 10478: autom. group order 2, simple B[10478]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,11,13],[1,2,4,5,7,13,14],[1,2,4,8,10,12,14],[1,3,5,6,10,13,14],[1,3,7,8,12,13,14],[1,4,5,7,9,11,12],[1,4,6,9,10,11,13],[1,5,8,10,11,12,13],[1,6,7,8,9,11,14],[1,6,7,9,10,12,14],[2,3,6,10,11,12,14],[2,3,7,9,11,13,14],[2,4,6,9,12,13,14],[2,4,7,10,11,12,13],[2,5,6,7,8,9,10],[2,5,6,8,9,12,13],[2,5,7,8,10,11,14],[3,4,5,8,9,12,14],[3,4,5,9,10,11,14],[3,4,6,7,8,10,13],[3,4,6,7,8,11,12],[3,5,7,9,10,12,13],[4,5,6,8,11,13,14]]; G[10478]:=Group([(1,5)(3,6)(4,7)(11,12)]); # Design 10479: autom. group order 2, simple B[10479]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,11,13],[1,2,4,5,7,13,14],[1,2,4,8,10,12,14],[1,3,5,6,10,13,14],[1,3,7,8,12,13,14],[1,4,5,7,9,11,12],[1,4,6,9,10,11,14],[1,5,8,10,11,12,13],[1,6,7,8,9,11,14],[1,6,7,9,10,12,13],[2,3,6,10,11,12,14],[2,3,7,9,11,13,14],[2,4,6,9,12,13,14],[2,4,7,10,11,12,13],[2,5,6,7,8,9,10],[2,5,6,8,9,12,13],[2,5,7,8,10,11,14],[3,4,5,8,9,12,14],[3,4,5,9,10,11,13],[3,4,6,7,8,10,13],[3,4,6,7,8,11,12],[3,5,7,9,10,12,14],[4,5,6,8,11,13,14]]; G[10479]:=Group([(1,5)(3,6)(4,7)(11,12)]); # Design 10480: autom. group order 2, simple B[10480]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,11,12,13],[1,2,4,5,7,12,14],[1,2,4,9,10,11,14],[1,3,5,6,10,13,14],[1,3,7,8,9,12,13],[1,4,5,7,10,12,13],[1,4,6,8,11,12,13],[1,5,8,10,11,13,14],[1,6,7,8,9,10,14],[1,6,7,9,11,12,14],[2,3,6,10,12,13,14],[2,3,7,10,11,12,14],[2,4,6,8,12,13,14],[2,4,7,8,10,11,13],[2,5,6,7,9,11,13],[2,5,6,8,9,10,12],[2,5,7,8,9,13,14],[3,4,5,8,9,12,14],[3,4,5,9,11,13,14],[3,4,6,7,8,11,14],[3,4,6,7,9,10,13],[3,5,7,8,10,11,12],[4,5,6,9,10,11,12]]; G[10480]:=Group([(1,5)(3,6)(4,7)(8,11)(10,13)]); # Design 10481: autom. group order 2, simple B[10481]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,11,12,13],[1,2,4,5,7,12,14],[1,2,4,9,10,11,14],[1,3,5,6,10,13,14],[1,3,7,8,9,13,14],[1,4,5,7,10,12,13],[1,4,6,8,11,12,13],[1,5,8,10,11,13,14],[1,6,7,8,9,10,12],[1,6,7,9,11,12,14],[2,3,6,10,12,13,14],[2,3,7,10,11,12,14],[2,4,6,8,12,13,14],[2,4,7,8,10,11,13],[2,5,6,7,9,11,13],[2,5,6,8,9,10,12],[2,5,7,8,9,13,14],[3,4,5,8,9,12,14],[3,4,5,9,11,12,13],[3,4,6,7,8,11,14],[3,4,6,7,9,10,13],[3,5,7,8,10,11,12],[4,5,6,9,10,11,14]]; G[10481]:=Group([(1,5)(3,6)(4,7)(8,11)(10,13)]); # Design 10482: autom. group order 2, simple, residual B[10482]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,11,12,13],[1,2,4,5,7,12,14],[1,2,4,10,11,12,14],[1,3,5,6,10,13,14],[1,3,7,8,9,12,13],[1,4,5,7,9,10,13],[1,4,6,8,11,13,14],[1,5,8,9,11,12,14],[1,6,7,8,9,10,14],[1,6,7,10,11,12,13],[2,3,6,10,12,13,14],[2,3,7,9,10,11,14],[2,4,6,8,9,13,14],[2,4,7,8,10,11,13],[2,5,6,7,9,11,13],[2,5,6,8,9,10,12],[2,5,7,8,12,13,14],[3,4,5,8,10,12,13],[3,4,5,9,11,13,14],[3,4,6,7,8,11,12],[3,4,6,7,9,12,14],[3,5,7,8,10,11,14],[4,5,6,9,10,11,12]]; G[10482]:=Group([(1,5)(3,6)(4,7)(8,11)(10,13)]); # Design 10483: autom. group order 2, simple B[10483]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,11,12,13],[1,2,4,5,7,12,14],[1,2,4,10,11,12,14],[1,3,5,6,10,13,14],[1,3,7,8,9,12,13],[1,4,5,7,9,10,13],[1,4,6,8,11,12,13],[1,5,8,10,11,13,14],[1,6,7,8,9,10,14],[1,6,7,9,11,12,14],[2,3,6,10,12,13,14],[2,3,7,9,10,11,14],[2,4,6,8,9,13,14],[2,4,7,8,10,11,13],[2,5,6,7,9,11,13],[2,5,6,8,9,10,12],[2,5,7,8,12,13,14],[3,4,5,8,9,12,14],[3,4,5,9,11,13,14],[3,4,6,7,8,11,14],[3,4,6,7,10,12,13],[3,5,7,8,10,11,12],[4,5,6,9,10,11,12]]; G[10483]:=Group([(1,5)(3,6)(4,7)(8,11)(10,13)]); # Design 10484: autom. group order 2, simple B[10484]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,11,12,13],[1,2,4,5,7,12,14],[1,2,4,10,11,12,14],[1,3,5,6,10,13,14],[1,3,7,8,9,12,13],[1,4,5,7,9,10,13],[1,4,6,8,11,13,14],[1,5,8,10,11,12,13],[1,6,7,8,9,10,14],[1,6,7,9,11,12,14],[2,3,6,10,12,13,14],[2,3,7,9,10,11,14],[2,4,6,8,9,13,14],[2,4,7,8,10,11,13],[2,5,6,7,9,11,13],[2,5,6,8,9,10,12],[2,5,7,8,12,13,14],[3,4,5,8,9,12,14],[3,4,5,9,11,13,14],[3,4,6,7,8,11,12],[3,4,6,7,10,12,13],[3,5,7,8,10,11,14],[4,5,6,9,10,11,12]]; G[10484]:=Group([(1,5)(3,6)(4,7)(8,11)(10,13)]); # Design 10485: autom. group order 2, simple B[10485]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,11,12,13],[1,2,4,5,7,12,14],[1,2,4,10,11,12,14],[1,3,5,6,10,13,14],[1,3,7,8,9,13,14],[1,4,5,7,9,10,13],[1,4,6,8,11,12,13],[1,5,8,10,11,13,14],[1,6,7,8,9,10,12],[1,6,7,9,11,12,14],[2,3,6,10,12,13,14],[2,3,7,9,10,11,14],[2,4,6,8,9,13,14],[2,4,7,8,10,11,13],[2,5,6,7,9,11,13],[2,5,6,8,9,10,12],[2,5,7,8,12,13,14],[3,4,5,8,9,12,14],[3,4,5,9,11,12,13],[3,4,6,7,8,11,14],[3,4,6,7,10,12,13],[3,5,7,8,10,11,12],[4,5,6,9,10,11,14]]; G[10485]:=Group([(1,5)(3,6)(4,7)(8,11)(10,13)]); # Design 10486: autom. group order 2, simple B[10486]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,11,12,13],[1,2,4,5,7,12,14],[1,2,4,11,12,13,14],[1,3,5,6,10,13,14],[1,3,7,8,9,12,14],[1,4,5,7,9,10,13],[1,4,6,8,10,11,12],[1,5,8,10,11,13,14],[1,6,7,8,9,12,13],[1,6,7,9,10,11,14],[2,3,6,10,12,13,14],[2,3,7,9,10,11,14],[2,4,6,8,9,13,14],[2,4,7,8,10,11,13],[2,5,6,7,9,11,13],[2,5,6,8,9,10,12],[2,5,7,8,10,12,14],[3,4,5,8,9,13,14],[3,4,5,9,10,11,12],[3,4,6,7,8,11,14],[3,4,6,7,10,12,13],[3,5,7,8,11,12,13],[4,5,6,9,11,12,14]]; G[10486]:=Group([(1,5)(3,6)(4,7)(8,11)(10,13)]); # Design 10487: autom. group order 2, simple B[10487]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,11,12,13],[1,2,4,5,7,12,14],[1,2,4,10,11,13,14],[1,3,5,6,12,13,14],[1,3,7,8,10,12,14],[1,4,5,7,9,10,13],[1,4,6,8,9,11,14],[1,5,8,9,10,11,12],[1,6,7,8,9,12,13],[1,6,7,10,11,13,14],[2,3,6,9,10,13,14],[2,3,7,9,11,12,14],[2,4,6,8,10,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,10,11],[2,5,6,8,10,12,13],[2,5,7,8,9,13,14],[3,4,5,8,9,13,14],[3,4,5,10,11,12,13],[3,4,6,7,8,11,13],[3,4,6,7,9,10,12],[3,5,7,8,10,11,14],[4,5,6,9,11,12,14]]; G[10487]:=Group([(1,5)(3,6)(4,7)(8,11)(9,10)]); # Design 10488: autom. group order 2, simple B[10488]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,11,12,13,14],[1,2,4,5,7,12,13],[1,2,4,9,10,11,12],[1,3,5,6,9,10,14],[1,3,7,8,9,12,14],[1,4,5,7,10,13,14],[1,4,6,8,11,12,14],[1,5,8,10,11,13,14],[1,6,7,8,9,10,13],[1,6,7,9,11,12,13],[2,3,6,10,12,13,14],[2,3,7,9,10,11,13],[2,4,6,8,9,13,14],[2,4,7,8,10,11,14],[2,5,6,7,9,11,14],[2,5,6,8,10,12,13],[2,5,7,8,9,12,14],[3,4,5,8,9,12,13],[3,4,5,9,11,13,14],[3,4,6,7,8,11,13],[3,4,6,7,10,12,14],[3,5,7,8,10,11,12],[4,5,6,9,10,11,12]]; G[10488]:=Group([(1,5)(3,6)(4,7)(8,11)(10,14)]); # Design 10489: autom. group order 2, simple B[10489]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,11,12,13,14],[1,2,4,5,7,12,13],[1,2,4,9,10,11,12],[1,3,5,6,9,10,14],[1,3,7,8,9,12,14],[1,4,5,7,10,13,14],[1,4,6,8,11,13,14],[1,5,8,10,11,12,14],[1,6,7,8,9,10,13],[1,6,7,9,11,12,13],[2,3,6,10,12,13,14],[2,3,7,9,10,11,13],[2,4,6,8,9,13,14],[2,4,7,8,10,11,14],[2,5,6,7,9,11,14],[2,5,6,8,10,12,13],[2,5,7,8,9,12,14],[3,4,5,8,9,12,13],[3,4,5,9,11,13,14],[3,4,6,7,8,11,12],[3,4,6,7,10,12,14],[3,5,7,8,10,11,13],[4,5,6,9,10,11,12]]; G[10489]:=Group([(1,5)(3,6)(4,7)(8,11)(10,14)]); # Design 10490: autom. group order 2, simple B[10490]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,10,11,12],[1,2,4,5,7,12,13],[1,2,4,9,11,13,14],[1,3,5,6,10,13,14],[1,3,7,8,11,12,14],[1,4,5,7,10,12,14],[1,4,6,8,9,12,14],[1,5,8,10,11,13,14],[1,6,7,8,9,10,13],[1,6,7,9,11,12,13],[2,3,6,10,12,13,14],[2,3,7,8,12,13,14],[2,4,6,10,11,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,11,14],[2,5,6,8,9,12,14],[2,5,7,8,9,10,13],[3,4,5,8,9,12,13],[3,4,5,9,11,13,14],[3,4,6,7,8,11,13],[3,4,6,7,9,10,14],[3,5,7,9,10,11,12],[4,5,6,8,10,11,12]]; G[10490]:=Group([(1,5)(3,6)(4,7)(8,11)(10,14)]); # Design 10491: autom. group order 2, simple B[10491]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,10,11,12],[1,2,4,5,7,12,13],[1,2,4,9,11,13,14],[1,3,5,6,10,13,14],[1,3,7,8,11,13,14],[1,4,5,7,10,12,14],[1,4,6,8,9,13,14],[1,5,8,10,11,12,14],[1,6,7,8,9,10,12],[1,6,7,9,11,12,13],[2,3,6,10,12,13,14],[2,3,7,8,12,13,14],[2,4,6,10,11,12,13],[2,4,7,8,10,11,14],[2,5,6,7,9,11,14],[2,5,6,8,9,12,14],[2,5,7,8,9,10,13],[3,4,5,8,9,12,13],[3,4,5,9,11,12,14],[3,4,6,7,8,11,12],[3,4,6,7,9,10,14],[3,5,7,9,10,11,13],[4,5,6,8,10,11,13]]; G[10491]:=Group([(1,5)(3,6)(4,7)(8,11)(10,14)]); # Design 10492: autom. group order 2, simple B[10492]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,11,12,13],[1,2,4,5,7,12,14],[1,2,4,9,10,11,14],[1,3,5,6,10,13,14],[1,3,7,8,11,13,14],[1,4,5,7,10,12,13],[1,4,6,8,9,13,14],[1,5,8,10,11,12,13],[1,6,7,8,9,12,14],[1,6,7,9,10,11,12],[2,3,6,10,12,13,14],[2,3,7,8,10,12,14],[2,4,6,11,12,13,14],[2,4,7,8,10,11,13],[2,5,6,7,9,11,13],[2,5,6,8,9,10,12],[2,5,7,8,9,13,14],[3,4,5,8,9,12,13],[3,4,5,9,11,12,14],[3,4,6,7,8,11,12],[3,4,6,7,9,10,13],[3,5,7,9,10,11,14],[4,5,6,8,10,11,14]]; G[10492]:=Group([(1,5)(3,6)(4,7)(8,11)(10,13)]); # Design 10493: autom. group order 2, simple B[10493]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,10,11,12],[1,2,4,5,7,12,13],[1,2,4,11,12,13,14],[1,3,5,6,9,13,14],[1,3,7,8,11,12,14],[1,4,5,7,9,10,14],[1,4,6,8,10,12,14],[1,5,8,9,11,13,14],[1,6,7,8,9,10,13],[1,6,7,10,11,12,13],[2,3,6,9,12,13,14],[2,3,7,8,10,13,14],[2,4,6,9,10,11,13],[2,4,7,8,9,11,14],[2,5,6,7,10,11,14],[2,5,6,8,10,12,14],[2,5,7,8,9,12,13],[3,4,5,8,10,12,13],[3,4,5,10,11,13,14],[3,4,6,7,8,11,13],[3,4,6,7,9,12,14],[3,5,7,9,10,11,12],[4,5,6,8,9,11,12]]; G[10493]:=Group([(1,5)(3,6)(4,7)(8,11)(9,14)]); # Design 10494: autom. group order 2, simple B[10494]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,10,11,12],[1,2,4,5,7,12,13],[1,2,4,11,12,13,14],[1,3,5,6,9,13,14],[1,3,7,8,11,12,14],[1,4,5,7,9,10,14],[1,4,6,8,10,13,14],[1,5,8,9,11,13,14],[1,6,7,8,9,10,12],[1,6,7,10,11,12,13],[2,3,6,9,12,13,14],[2,3,7,8,10,13,14],[2,4,6,9,10,11,13],[2,4,7,8,9,11,14],[2,5,6,7,10,11,14],[2,5,6,8,10,12,14],[2,5,7,8,9,12,13],[3,4,5,8,10,12,13],[3,4,5,10,11,12,14],[3,4,6,7,8,11,13],[3,4,6,7,9,12,14],[3,5,7,9,10,11,13],[4,5,6,8,9,11,12]]; G[10494]:=Group([(1,5)(3,6)(4,7)(8,11)(9,14)]); # Design 10495: autom. group order 2, simple B[10495]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,10,11,12],[1,2,4,5,7,12,13],[1,2,4,11,12,13,14],[1,3,5,6,9,13,14],[1,3,7,8,11,13,14],[1,4,5,7,9,10,14],[1,4,6,8,10,13,14],[1,5,8,9,11,12,14],[1,6,7,8,9,10,12],[1,6,7,10,11,12,13],[2,3,6,9,12,13,14],[2,3,7,8,10,13,14],[2,4,6,9,10,11,13],[2,4,7,8,9,11,14],[2,5,6,7,10,11,14],[2,5,6,8,10,12,14],[2,5,7,8,9,12,13],[3,4,5,8,10,12,13],[3,4,5,10,11,12,14],[3,4,6,7,8,11,12],[3,4,6,7,9,12,14],[3,5,7,9,10,11,13],[4,5,6,8,9,11,13]]; G[10495]:=Group([(1,5)(3,6)(4,7)(8,11)(9,14)]); # Design 10496: autom. group order 2, simple B[10496]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,11,12,13],[1,2,4,5,7,12,13],[1,2,4,10,11,12,14],[1,3,5,6,9,10,14],[1,3,7,8,11,12,14],[1,4,5,7,9,13,14],[1,4,6,8,10,12,14],[1,5,8,9,11,13,14],[1,6,7,8,9,10,13],[1,6,7,10,11,12,13],[2,3,6,9,12,13,14],[2,3,7,8,10,13,14],[2,4,6,9,10,11,13],[2,4,7,8,9,11,14],[2,5,6,7,10,11,14],[2,5,6,8,12,13,14],[2,5,7,8,9,10,12],[3,4,5,8,10,12,13],[3,4,5,10,11,13,14],[3,4,6,7,8,11,13],[3,4,6,7,9,12,14],[3,5,7,9,10,11,12],[4,5,6,8,9,11,12]]; G[10496]:=Group([(1,5)(3,6)(4,7)(8,11)(9,14)]); # Design 10497: autom. group order 2, simple B[10497]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,11,12,13],[1,2,4,5,7,12,13],[1,2,4,10,11,12,14],[1,3,5,6,9,10,14],[1,3,7,8,11,12,14],[1,4,5,7,9,13,14],[1,4,6,8,10,13,14],[1,5,8,9,11,13,14],[1,6,7,8,9,10,12],[1,6,7,10,11,12,13],[2,3,6,9,12,13,14],[2,3,7,8,10,13,14],[2,4,6,9,10,11,13],[2,4,7,8,9,11,14],[2,5,6,7,10,11,14],[2,5,6,8,12,13,14],[2,5,7,8,9,10,12],[3,4,5,8,10,12,13],[3,4,5,10,11,12,14],[3,4,6,7,8,11,13],[3,4,6,7,9,12,14],[3,5,7,9,10,11,13],[4,5,6,8,9,11,12]]; G[10497]:=Group([(1,5)(3,6)(4,7)(8,11)(9,14)]); # Design 10498: autom. group order 2, simple B[10498]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,11,12,13],[1,2,4,5,7,12,13],[1,2,4,10,11,12,14],[1,3,5,6,9,10,14],[1,3,7,8,11,13,14],[1,4,5,7,9,13,14],[1,4,6,8,10,13,14],[1,5,8,9,11,12,14],[1,6,7,8,9,10,12],[1,6,7,10,11,12,13],[2,3,6,9,12,13,14],[2,3,7,8,10,13,14],[2,4,6,9,10,11,13],[2,4,7,8,9,11,14],[2,5,6,7,10,11,14],[2,5,6,8,12,13,14],[2,5,7,8,9,10,12],[3,4,5,8,10,12,13],[3,4,5,10,11,12,14],[3,4,6,7,8,11,12],[3,4,6,7,9,12,14],[3,5,7,9,10,11,13],[4,5,6,8,9,11,13]]; G[10498]:=Group([(1,5)(3,6)(4,7)(8,11)(9,14)]); # Design 10499: autom. group order 2, simple B[10499]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,11,12,13],[1,2,4,5,7,12,13],[1,2,4,10,11,12,14],[1,3,5,6,9,10,14],[1,3,7,8,11,13,14],[1,4,5,7,9,13,14],[1,4,6,8,10,12,14],[1,5,8,10,11,12,13],[1,6,7,8,9,10,13],[1,6,7,9,11,12,14],[2,3,6,9,12,13,14],[2,3,7,8,10,13,14],[2,4,6,9,10,11,13],[2,4,7,8,9,11,14],[2,5,6,7,10,11,14],[2,5,6,8,12,13,14],[2,5,7,8,9,10,12],[3,4,5,8,9,12,14],[3,4,5,10,11,13,14],[3,4,6,7,8,11,12],[3,4,6,7,10,12,13],[3,5,7,9,10,11,12],[4,5,6,8,9,11,13]]; G[10499]:=Group([(1,5)(3,6)(4,7)(8,11)(9,14)]); # Design 10500: autom. group order 2, simple B[10500]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,11,12,13],[1,2,4,5,7,12,14],[1,2,4,11,12,13,14],[1,3,5,6,10,13,14],[1,3,7,8,10,11,12],[1,4,5,7,9,10,13],[1,4,6,8,9,12,14],[1,5,8,10,11,13,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,6,10,12,13,14],[2,3,7,8,9,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,11,13],[2,5,6,7,9,11,13],[2,5,6,8,9,10,12],[2,5,7,8,10,12,14],[3,4,5,8,9,12,13],[3,4,5,9,10,11,14],[3,4,6,7,8,11,14],[3,4,6,7,10,12,13],[3,5,7,9,11,12,14],[4,5,6,8,11,12,13]]; G[10500]:=Group([(1,5)(3,6)(4,7)(8,11)(10,13)]); # Design 10501: autom. group order 2, simple, residual B[10501]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,11,12,13],[1,2,4,5,7,12,14],[1,2,4,11,12,13,14],[1,3,5,6,10,13,14],[1,3,7,8,10,11,14],[1,4,5,7,9,10,13],[1,4,6,8,10,12,13],[1,5,8,9,11,12,14],[1,6,7,8,9,12,13],[1,6,7,9,10,11,14],[2,3,6,10,12,13,14],[2,3,7,8,9,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,11,13],[2,5,6,7,9,11,13],[2,5,6,8,9,10,12],[2,5,7,8,10,12,14],[3,4,5,8,9,13,14],[3,4,5,9,10,11,12],[3,4,6,7,8,11,12],[3,4,6,7,9,12,14],[3,5,7,10,11,12,13],[4,5,6,8,11,13,14]]; G[10501]:=Group([(1,5)(3,6)(4,7)(8,11)(10,13)]); # Design 10502: autom. group order 2, simple, residual B[10502]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,11,12,13,14],[1,2,4,5,7,9,12],[1,2,4,11,12,13,14],[1,3,5,6,10,13,14],[1,3,7,8,10,11,12],[1,4,5,7,10,13,14],[1,4,6,8,9,12,13],[1,5,8,9,10,11,14],[1,6,7,8,9,12,14],[1,6,7,9,10,11,13],[2,3,6,9,10,12,14],[2,3,7,8,9,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,11,14],[2,5,6,7,9,11,14],[2,5,6,8,10,12,13],[2,5,7,8,10,12,13],[3,4,5,8,9,13,14],[3,4,5,9,10,11,12],[3,4,6,7,8,11,13],[3,4,6,7,10,12,14],[3,5,7,9,11,12,13],[4,5,6,8,11,12,14]]; G[10502]:=Group([(1,5)(3,6)(4,7)(8,11)(10,14)]); # Design 10503: autom. group order 2, simple B[10503]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,11,12,13,14],[1,2,4,5,7,12,13],[1,2,4,9,10,11,12],[1,3,5,6,9,10,14],[1,3,7,8,11,13,14],[1,4,5,7,9,13,14],[1,4,6,8,10,12,14],[1,5,8,10,11,12,13],[1,6,7,8,9,12,14],[1,6,7,9,10,11,13],[2,3,6,9,12,13,14],[2,3,7,8,9,10,13],[2,4,6,10,11,13,14],[2,4,7,8,9,11,14],[2,5,6,7,10,11,14],[2,5,6,8,9,12,13],[2,5,7,8,10,12,14],[3,4,5,8,10,13,14],[3,4,5,9,11,12,14],[3,4,6,7,8,11,12],[3,4,6,7,10,12,13],[3,5,7,9,10,11,12],[4,5,6,8,9,11,13]]; G[10503]:=Group([(1,5)(3,6)(4,7)(8,11)(9,14)]); # Design 10504: autom. group order 2, simple B[10504]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,11,12,13,14],[1,2,4,5,7,12,13],[1,2,4,9,11,12,14],[1,3,5,6,9,10,14],[1,3,7,8,10,11,12],[1,4,5,7,10,13,14],[1,4,6,8,9,12,13],[1,5,8,10,11,13,14],[1,6,7,8,9,13,14],[1,6,7,9,10,11,12],[2,3,6,10,12,13,14],[2,3,7,8,9,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,11,14],[2,5,6,7,9,11,14],[2,5,6,8,10,12,13],[2,5,7,8,9,10,12],[3,4,5,8,9,12,14],[3,4,5,9,10,11,13],[3,4,6,7,8,11,13],[3,4,6,7,10,12,14],[3,5,7,9,11,12,13],[4,5,6,8,11,12,14]]; G[10504]:=Group([(1,5)(3,6)(4,7)(8,11)(10,14)]); # Design 10505: autom. group order 2, simple B[10505]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,10,11,12],[1,2,4,5,7,12,13],[1,2,4,8,12,13,14],[1,3,5,6,9,13,14],[1,3,7,10,11,13,14],[1,4,5,7,9,10,14],[1,4,6,10,11,12,14],[1,5,8,9,11,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,12,13],[2,3,6,9,12,13,14],[2,3,7,8,10,13,14],[2,4,6,9,10,11,13],[2,4,7,8,9,11,14],[2,5,6,7,10,11,14],[2,5,6,8,10,12,14],[2,5,7,9,11,12,13],[3,4,5,8,11,12,14],[3,4,5,10,11,12,13],[3,4,6,7,8,11,13],[3,4,6,7,9,12,14],[3,5,7,8,9,10,12],[4,5,6,8,9,10,13]]; G[10505]:=Group([(1,5)(3,6)(4,7)(8,11)(9,14)]); # Design 10506: autom. group order 2, simple B[10506]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,11,12,13],[1,2,4,5,7,12,13],[1,2,4,8,10,12,14],[1,3,5,6,9,10,14],[1,3,7,10,11,13,14],[1,4,5,7,9,13,14],[1,4,6,10,11,12,14],[1,5,8,9,11,13,14],[1,6,7,8,9,11,12],[1,6,7,8,10,12,13],[2,3,6,9,12,13,14],[2,3,7,8,10,13,14],[2,4,6,9,10,11,13],[2,4,7,8,9,11,14],[2,5,6,7,10,11,14],[2,5,6,8,12,13,14],[2,5,7,9,10,11,12],[3,4,5,8,11,12,14],[3,4,5,10,11,12,13],[3,4,6,7,8,11,13],[3,4,6,7,9,12,14],[3,5,7,8,9,10,12],[4,5,6,8,9,10,13]]; G[10506]:=Group([(1,5)(3,6)(4,7)(8,11)(9,14)]); # Design 10507: autom. group order 2, simple B[10507]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,11,12,13],[1,2,4,5,7,12,14],[1,2,4,8,10,13,14],[1,3,5,6,12,13,14],[1,3,7,10,11,12,13],[1,4,5,7,9,10,13],[1,4,6,9,11,13,14],[1,5,8,9,10,11,12],[1,6,7,8,9,12,14],[1,6,7,8,10,11,14],[2,3,6,9,10,13,14],[2,3,7,8,9,12,14],[2,4,6,10,11,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,10,11],[2,5,6,8,10,12,13],[2,5,7,9,11,13,14],[3,4,5,8,9,11,14],[3,4,5,10,11,12,14],[3,4,6,7,8,11,13],[3,4,6,7,9,10,12],[3,5,7,8,10,13,14],[4,5,6,8,9,12,13]]; G[10507]:=Group([(1,5)(3,6)(4,7)(8,11)(9,10)]); # Design 10508: autom. group order 2, simple B[10508]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,11,12,13],[1,2,4,5,7,12,14],[1,2,4,8,10,13,14],[1,3,5,6,12,13,14],[1,3,7,10,11,12,14],[1,4,5,7,9,10,13],[1,4,6,9,11,13,14],[1,5,8,9,10,11,12],[1,6,7,8,9,12,13],[1,6,7,8,10,11,14],[2,3,6,9,10,13,14],[2,3,7,8,9,12,14],[2,4,6,10,11,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,10,11],[2,5,6,8,10,12,13],[2,5,7,9,11,13,14],[3,4,5,8,9,11,14],[3,4,5,10,11,12,13],[3,4,6,7,8,11,13],[3,4,6,7,9,10,12],[3,5,7,8,10,13,14],[4,5,6,8,9,12,14]]; G[10508]:=Group([(1,5)(3,6)(4,7)(8,11)(9,10)]); # Design 10509: autom. group order 2, simple B[10509]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,11,12,13,14],[1,2,4,5,7,12,13],[1,2,4,8,9,12,14],[1,3,5,6,9,10,14],[1,3,7,10,11,12,14],[1,4,5,7,10,13,14],[1,4,6,9,10,11,12],[1,5,8,9,11,12,13],[1,6,7,8,9,13,14],[1,6,7,8,10,11,13],[2,3,6,10,12,13,14],[2,3,7,8,9,10,13],[2,4,6,9,11,13,14],[2,4,7,8,10,11,14],[2,5,6,7,9,11,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,12],[3,4,5,8,11,13,14],[3,4,5,9,10,11,13],[3,4,6,7,8,11,12],[3,4,6,7,9,12,13],[3,5,7,8,9,12,14],[4,5,6,8,10,12,14]]; G[10509]:=Group([(1,5)(3,6)(4,7)(8,11)(10,14)]); # Design 10510: autom. group order 2, simple, residual B[10510]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,11,12,13],[1,2,4,5,12,13,14],[1,2,4,10,11,12,14],[1,3,5,6,10,13,14],[1,3,7,8,9,12,13],[1,4,5,7,9,10,11],[1,4,6,7,8,12,14],[1,5,7,8,10,12,13],[1,6,7,9,10,11,14],[1,6,8,9,11,13,14],[2,3,6,7,10,13,14],[2,3,7,9,10,12,14],[2,4,6,8,9,10,13],[2,4,7,8,11,13,14],[2,5,6,7,9,11,12],[2,5,6,8,9,12,14],[2,5,7,8,10,11,13],[3,4,5,7,8,9,14],[3,4,5,9,11,13,14],[3,4,6,7,11,12,13],[3,4,6,8,10,11,12],[3,5,8,10,11,12,14],[4,5,6,9,10,12,13]]; G[10510]:=Group([(1,12)(3,9)(4,14)(7,8)]); # Design 10511: autom. group order 2, simple, residual B[10511]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,11,12,13],[1,2,4,5,12,13,14],[1,2,4,10,11,12,14],[1,3,5,6,10,13,14],[1,3,7,8,9,12,13],[1,4,5,7,9,10,11],[1,4,6,7,8,12,14],[1,5,7,8,10,12,13],[1,6,7,9,11,13,14],[1,6,8,9,10,11,14],[2,3,6,7,10,13,14],[2,3,7,9,10,12,14],[2,4,6,8,9,10,13],[2,4,7,8,11,13,14],[2,5,6,7,9,11,12],[2,5,6,8,9,12,14],[2,5,7,8,10,11,13],[3,4,5,7,8,9,14],[3,4,5,9,11,13,14],[3,4,6,7,10,11,12],[3,4,6,8,11,12,13],[3,5,8,10,11,12,14],[4,5,6,9,10,12,13]]; G[10511]:=Group([(1,12)(3,9)(4,14)(7,8)]); # Design 10512: autom. group order 2, simple, residual B[10512]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,7,11],[1,2,3,8,11,12,13],[1,2,4,5,12,13,14],[1,2,4,9,10,11,12],[1,3,5,9,10,12,14],[1,3,6,8,9,13,14],[1,4,5,6,8,10,13],[1,4,7,8,9,11,14],[1,5,7,10,11,13,14],[1,6,7,8,10,12,14],[1,6,7,9,11,12,13],[2,3,6,10,12,13,14],[2,3,7,8,10,11,14],[2,4,6,7,9,12,14],[2,4,6,8,11,13,14],[2,5,6,9,10,11,14],[2,5,7,8,9,10,13],[2,5,7,8,9,12,13],[3,4,5,7,8,12,14],[3,4,5,9,11,13,14],[3,4,6,7,9,10,13],[3,4,7,10,11,12,13],[3,5,6,8,9,11,12],[4,5,6,8,10,11,12]]; G[10512]:=Group([(1,13)(2,7)(3,9)(4,10)(6,8)(11,12)]); # Design 10513: autom. group order 2, simple B[10513]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,7,11],[1,2,3,8,9,11,12],[1,2,4,5,12,13,14],[1,2,4,8,11,13,14],[1,3,5,10,12,13,14],[1,3,6,8,9,13,14],[1,4,5,6,9,10,13],[1,4,7,9,10,11,12],[1,5,7,8,10,11,14],[1,6,7,8,10,12,14],[1,6,7,9,11,12,13],[2,3,6,9,10,12,14],[2,3,7,10,11,13,14],[2,4,6,7,8,12,14],[2,4,6,10,11,12,13],[2,5,6,9,10,11,14],[2,5,7,8,9,10,13],[2,5,7,8,9,12,13],[3,4,5,7,9,12,14],[3,4,5,8,10,11,12],[3,4,6,7,8,10,13],[3,4,7,9,11,13,14],[3,5,6,8,11,12,13],[4,5,6,8,9,11,14]]; G[10513]:=Group([(1,9)(3,8)(4,10)(6,13)(11,12)]); # Design 10514: autom. group order 2, simple, residual B[10514]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,12,13],[1,2,4,5,7,13,14],[1,2,4,9,11,13,14],[1,3,5,9,10,12,14],[1,3,6,9,10,13,14],[1,4,5,6,8,10,13],[1,4,7,8,10,11,12],[1,5,7,10,11,12,14],[1,6,7,8,9,11,14],[1,6,7,8,9,12,13],[2,3,6,7,8,10,14],[2,3,7,8,12,13,14],[2,4,6,7,9,10,12],[2,4,6,9,11,12,14],[2,5,6,8,10,11,14],[2,5,7,9,10,12,13],[2,5,8,9,10,11,13],[3,4,5,7,8,9,11],[3,4,5,8,9,12,14],[3,4,6,10,11,12,13],[3,4,7,10,11,13,14],[3,5,6,7,9,11,13],[4,5,6,8,12,13,14]]; G[10514]:=Group([(1,10)(3,9)(4,8)(6,13)(7,11)]); # Design 10515: autom. group order 2, simple, residual B[10515]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,13,14],[1,2,4,5,7,13,14],[1,2,4,9,11,12,13],[1,3,5,9,10,12,14],[1,3,6,9,10,13,14],[1,4,5,6,8,10,13],[1,4,7,8,10,11,12],[1,5,7,10,11,12,14],[1,6,7,8,9,11,14],[1,6,7,8,9,12,13],[2,3,6,7,8,10,12],[2,3,7,8,12,13,14],[2,4,6,7,9,10,14],[2,4,6,9,11,12,14],[2,5,6,8,10,11,14],[2,5,7,9,10,12,13],[2,5,8,9,10,11,13],[3,4,5,7,8,9,11],[3,4,5,8,9,12,14],[3,4,6,10,11,12,13],[3,4,7,10,11,13,14],[3,5,6,7,9,11,13],[4,5,6,8,12,13,14]]; G[10515]:=Group([(1,10)(3,9)(4,8)(6,13)(7,11)]); # Design 10516: autom. group order 2, simple B[10516]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,13,14],[1,2,4,5,7,13,14],[1,2,4,9,11,12,13],[1,3,5,9,10,12,14],[1,3,6,9,10,13,14],[1,4,5,6,8,10,13],[1,4,7,8,10,11,12],[1,5,7,8,9,12,14],[1,6,7,8,9,11,14],[1,6,7,10,11,12,13],[2,3,6,7,8,10,12],[2,3,7,8,12,13,14],[2,4,6,7,9,10,14],[2,4,6,9,11,12,14],[2,5,6,8,10,11,14],[2,5,7,9,10,12,13],[2,5,8,9,10,11,13],[3,4,5,7,8,9,11],[3,4,5,10,11,12,14],[3,4,6,8,9,12,13],[3,4,7,10,11,13,14],[3,5,6,7,9,11,13],[4,5,6,8,12,13,14]]; G[10516]:=Group([(1,10)(3,9)(4,8)(6,13)(7,11)]); # Design 10517: autom. group order 2, simple, residual B[10517]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,13,14],[1,2,4,5,9,11,13],[1,2,4,7,10,12,14],[1,3,5,7,8,10,14],[1,3,6,9,10,12,13],[1,4,5,6,8,13,14],[1,4,7,9,11,12,14],[1,5,7,9,10,12,13],[1,6,7,8,11,12,13],[1,6,8,9,10,11,14],[2,3,6,10,12,13,14],[2,3,7,8,9,11,12],[2,4,6,7,10,11,13],[2,4,6,8,9,12,14],[2,5,6,7,8,9,10],[2,5,7,8,12,13,14],[2,5,9,10,11,13,14],[3,4,5,8,9,12,13],[3,4,5,10,11,12,14],[3,4,6,7,9,13,14],[3,4,7,8,10,11,13],[3,5,6,7,9,11,14],[4,5,6,8,10,11,12]]; G[10517]:=Group([(1,9)(2,14)(3,6)(4,11)(5,7)(12,13)]); # Design 10518: autom. group order 2, simple, residual B[10518]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,11,13],[1,2,4,5,12,13,14],[1,2,4,7,8,11,14],[1,3,5,7,10,13,14],[1,3,6,8,9,12,14],[1,4,5,6,9,10,14],[1,4,9,10,11,12,13],[1,5,7,8,10,11,12],[1,6,7,8,10,12,13],[1,6,7,9,11,13,14],[2,3,6,7,9,10,13],[2,3,7,10,11,12,14],[2,4,6,7,8,12,13],[2,4,6,10,11,13,14],[2,5,6,9,10,11,12],[2,5,7,8,9,10,14],[2,5,8,9,12,13,14],[3,4,5,7,9,12,13],[3,4,5,8,10,11,13],[3,4,6,8,10,12,14],[3,4,7,9,11,12,14],[3,5,6,8,11,13,14],[4,5,6,7,8,9,11]]; G[10518]:=Group([(1,9)(3,8)(4,10)(6,14)(11,13)]); # Design 10519: autom. group order 2, simple B[10519]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,11,13],[1,2,4,5,10,12,14],[1,2,4,7,8,13,14],[1,3,5,7,9,13,14],[1,3,6,8,10,12,14],[1,4,5,6,10,11,13],[1,4,7,8,9,11,12],[1,5,9,10,11,13,14],[1,6,7,8,11,12,14],[1,6,7,9,10,12,13],[2,3,6,7,11,13,14],[2,3,9,10,11,12,14],[2,4,6,9,12,13,14],[2,4,7,10,11,12,13],[2,5,6,7,8,9,10],[2,5,6,8,9,12,13],[2,5,7,8,10,11,14],[3,4,5,7,9,12,14],[3,4,5,8,11,12,13],[3,4,6,7,9,10,11],[3,4,6,8,10,13,14],[3,5,7,8,10,12,13],[4,5,6,8,9,11,14]]; G[10519]:=Group([(5,8)(6,9)(7,10)(12,13)]); # Design 10520: autom. group order 2, simple B[10520]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,11,13],[1,2,4,5,10,12,14],[1,2,4,7,8,13,14],[1,3,5,9,10,13,14],[1,3,6,7,8,12,14],[1,4,5,6,10,11,13],[1,4,7,8,9,11,12],[1,5,7,9,11,13,14],[1,6,7,9,10,12,13],[1,6,8,10,11,12,14],[2,3,6,7,11,13,14],[2,3,9,10,11,12,14],[2,4,6,9,12,13,14],[2,4,7,10,11,12,13],[2,5,6,7,8,9,10],[2,5,6,8,9,12,13],[2,5,7,8,10,11,14],[3,4,5,7,9,12,14],[3,4,5,8,11,12,13],[3,4,6,7,9,10,11],[3,4,6,8,10,13,14],[3,5,7,8,10,12,13],[4,5,6,8,9,11,14]]; G[10520]:=Group([(5,8)(6,9)(7,10)(12,13)]); # Design 10521: autom. group order 2, simple, residual B[10521]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,11,13],[1,2,4,5,10,12,14],[1,2,4,7,8,13,14],[1,3,5,9,10,13,14],[1,3,6,7,8,12,14],[1,4,5,6,10,11,13],[1,4,7,8,9,11,12],[1,5,7,9,11,13,14],[1,6,7,9,10,12,13],[1,6,8,10,11,12,14],[2,3,6,9,12,13,14],[2,3,7,10,11,12,13],[2,4,6,7,11,13,14],[2,4,9,10,11,12,14],[2,5,6,7,8,9,10],[2,5,6,8,9,11,14],[2,5,7,8,10,12,13],[3,4,5,7,9,12,14],[3,4,5,8,11,12,13],[3,4,6,7,9,10,11],[3,4,6,8,10,13,14],[3,5,7,8,10,11,14],[4,5,6,8,9,12,13]]; G[10521]:=Group([(5,8)(6,9)(7,10)(12,13)]); # Design 10522: autom. group order 2, simple B[10522]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,11,13],[1,2,4,5,10,12,14],[1,2,4,7,8,13,14],[1,3,5,8,12,13,14],[1,3,6,7,9,10,14],[1,4,5,6,10,11,13],[1,4,7,8,9,11,12],[1,5,7,9,11,13,14],[1,6,7,9,10,12,13],[1,6,8,10,11,12,14],[2,3,6,9,12,13,14],[2,3,7,10,11,12,13],[2,4,6,7,11,13,14],[2,4,9,10,11,12,14],[2,5,6,7,8,9,10],[2,5,6,8,9,11,14],[2,5,7,8,10,12,13],[3,4,5,7,9,12,14],[3,4,5,9,10,11,13],[3,4,6,7,8,11,12],[3,4,6,8,10,13,14],[3,5,7,8,10,11,14],[4,5,6,8,9,12,13]]; G[10522]:=Group([(5,8)(6,9)(7,10)(12,13)]); # Design 10523: autom. group order 2, simple B[10523]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,11,12,13],[1,2,4,5,7,12,14],[1,2,4,10,12,13,14],[1,3,5,7,9,10,13],[1,3,6,8,10,12,14],[1,4,5,6,11,13,14],[1,4,7,8,9,10,11],[1,5,8,9,11,12,14],[1,6,7,8,9,13,14],[1,6,7,10,11,12,13],[2,3,7,8,11,12,14],[2,3,7,10,11,13,14],[2,4,6,8,9,12,13],[2,4,6,9,10,11,14],[2,5,6,7,9,10,12],[2,5,6,8,10,11,13],[2,5,7,8,9,13,14],[3,4,5,8,10,13,14],[3,4,5,9,11,12,13],[3,4,6,7,8,12,13],[3,4,6,7,9,11,14],[3,5,6,9,10,12,14],[4,5,7,8,10,11,12]]; G[10523]:=Group([(1,5)(3,7)(4,6)(8,12)(11,14)]); # Design 10524: autom. group order 2, simple B[10524]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,11,12,13],[1,2,4,5,7,12,14],[1,2,4,10,12,13,14],[1,3,5,7,9,10,13],[1,3,6,8,10,12,14],[1,4,5,6,11,13,14],[1,4,7,8,9,11,13],[1,5,8,9,11,12,14],[1,6,7,8,9,10,14],[1,6,7,10,11,12,13],[2,3,7,8,11,12,14],[2,3,7,10,11,13,14],[2,4,6,8,9,12,13],[2,4,6,9,10,11,14],[2,5,6,7,9,10,12],[2,5,6,8,10,11,13],[2,5,7,8,9,13,14],[3,4,5,8,10,13,14],[3,4,5,9,10,11,12],[3,4,6,7,8,12,13],[3,4,6,7,9,11,14],[3,5,6,9,12,13,14],[4,5,7,8,10,11,12]]; G[10524]:=Group([(1,5)(3,7)(4,6)(8,12)(11,14)]); # Design 10525: autom. group order 2, simple B[10525]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,11,12,13],[1,2,4,5,7,12,14],[1,2,4,8,10,13,14],[1,3,5,7,11,13,14],[1,3,6,10,12,13,14],[1,4,5,6,9,10,13],[1,4,7,9,11,12,13],[1,5,8,10,11,12,14],[1,6,7,8,9,10,11],[1,6,7,8,9,12,14],[2,3,7,8,10,12,13],[2,3,7,9,10,11,14],[2,4,6,8,11,12,14],[2,4,6,9,11,13,14],[2,5,6,7,9,10,12],[2,5,6,10,11,12,13],[2,5,7,8,9,13,14],[3,4,5,8,9,11,12],[3,4,5,9,10,12,14],[3,4,6,7,8,12,13],[3,4,6,7,10,11,14],[3,5,6,8,9,13,14],[4,5,7,8,10,11,13]]; G[10525]:=Group([(1,5)(3,7)(4,6)(8,12)(11,14)]); # Design 10526: autom. group order 2, simple, residual B[10526]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,13,14],[1,2,4,5,7,9,13],[1,2,4,10,12,13,14],[1,3,5,8,10,12,14],[1,3,6,7,8,9,13],[1,4,5,6,10,11,14],[1,4,7,9,11,12,14],[1,5,8,9,10,11,13],[1,6,7,8,12,13,14],[1,6,7,9,10,11,12],[2,3,7,9,10,11,14],[2,3,7,10,11,12,13],[2,4,6,7,8,10,14],[2,4,6,8,11,12,13],[2,5,6,8,9,10,12],[2,5,6,9,11,13,14],[2,5,7,8,9,12,14],[3,4,5,7,8,11,12],[3,4,5,9,12,13,14],[3,4,6,8,9,11,14],[3,4,6,9,10,12,13],[3,5,6,7,10,13,14],[4,5,7,8,10,11,13]]; G[10526]:=Group([(1,11)(2,8)(3,13)(6,10)(9,12)]); # Design 10527: autom. group order 2, simple, residual B[10527]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,7,8,11,13],[1,2,4,5,9,13,14],[1,2,4,11,12,13,14],[1,3,5,7,10,12,14],[1,3,6,8,10,12,13],[1,4,5,8,9,10,11],[1,4,6,7,10,13,14],[1,5,6,8,9,12,14],[1,6,7,9,10,11,13],[1,7,8,9,11,12,14],[2,3,6,8,9,13,14],[2,3,7,9,10,12,14],[2,4,6,7,8,9,12],[2,4,6,10,11,12,14],[2,5,6,7,9,10,11],[2,5,7,8,10,13,14],[2,5,8,10,11,12,13],[3,4,5,7,8,11,14],[3,4,5,9,10,12,13],[3,4,6,8,10,11,14],[3,4,7,9,11,12,13],[3,5,6,9,11,13,14],[4,5,6,7,8,12,13]]; G[10527]:=Group([(1,13)(3,8)(4,14)(6,10)]); # Design 10528: autom. group order 2, simple, residual B[10528]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,7,8,9,13],[1,2,4,5,11,13,14],[1,2,4,8,12,13,14],[1,3,5,10,12,13,14],[1,3,6,8,9,11,14],[1,4,5,7,9,10,11],[1,4,6,9,10,12,14],[1,5,6,7,8,10,12],[1,6,7,9,11,13,14],[1,7,8,10,11,12,13],[2,3,6,9,10,12,13],[2,3,7,10,11,12,14],[2,4,6,7,8,11,12],[2,4,6,7,10,13,14],[2,5,6,9,10,11,13],[2,5,7,8,9,10,14],[2,5,8,9,11,12,14],[3,4,5,7,9,12,14],[3,4,5,8,10,11,13],[3,4,6,8,10,11,14],[3,4,7,9,11,12,13],[3,5,6,7,8,13,14],[4,5,6,8,9,12,13]]; G[10528]:=Group([(1,9)(3,8)(4,10)(6,14)]); # Design 10529: autom. group order 2, simple B[10529]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,12,13],[1,2,4,5,9,13,14],[1,2,4,7,11,13,14],[1,3,5,7,10,12,14],[1,3,6,7,8,10,13],[1,4,5,8,9,10,11],[1,4,6,10,12,13,14],[1,5,6,8,9,12,14],[1,6,7,9,10,11,13],[1,7,8,9,11,12,14],[2,3,6,8,9,13,14],[2,3,7,9,10,12,14],[2,4,6,7,8,9,12],[2,4,6,10,11,12,14],[2,5,6,7,9,10,11],[2,5,7,8,10,13,14],[2,5,8,10,11,12,13],[3,4,5,7,8,11,14],[3,4,5,9,10,12,13],[3,4,6,8,10,11,14],[3,4,7,9,11,12,13],[3,5,6,9,11,13,14],[4,5,6,7,8,12,13]]; G[10529]:=Group([(1,13)(3,8)(4,14)(6,10)]); # Design 10530: autom. group order 2, simple, residual B[10530]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,12,13],[1,2,4,5,9,13,14],[1,2,4,7,11,13,14],[1,3,5,7,10,12,14],[1,3,6,7,8,10,14],[1,4,5,8,9,10,11],[1,4,6,8,12,13,14],[1,5,6,9,10,12,13],[1,6,7,8,9,11,14],[1,7,9,10,11,12,13],[2,3,6,9,10,13,14],[2,3,7,8,9,12,13],[2,4,6,7,9,10,12],[2,4,6,10,11,12,14],[2,5,6,7,8,9,11],[2,5,7,8,10,13,14],[2,5,8,10,11,12,14],[3,4,5,7,10,11,13],[3,4,5,8,9,12,14],[3,4,6,8,10,11,13],[3,4,7,9,11,12,14],[3,5,6,9,11,13,14],[4,5,6,7,8,12,13]]; G[10530]:=Group([(1,14)(3,10)(4,13)(6,8)]); # Design 10531: autom. group order 2, simple, residual B[10531]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,11,13],[1,2,4,5,12,13,14],[1,2,4,7,8,13,14],[1,3,5,10,11,13,14],[1,3,6,8,9,12,14],[1,4,5,7,9,10,12],[1,4,6,9,10,11,14],[1,5,6,7,8,10,11],[1,6,7,9,12,13,14],[1,7,8,10,11,12,13],[2,3,6,7,9,10,13],[2,3,7,10,11,12,14],[2,4,6,7,8,11,12],[2,4,6,10,11,13,14],[2,5,6,9,10,12,13],[2,5,7,8,9,10,14],[2,5,8,9,11,12,14],[3,4,5,7,9,11,14],[3,4,5,8,10,12,13],[3,4,6,8,10,12,14],[3,4,7,9,11,12,13],[3,5,6,7,8,13,14],[4,5,6,8,9,11,13]]; G[10531]:=Group([(1,9)(3,8)(4,10)(6,14)]); # Design 10532: autom. group order 2, simple, residual B[10532]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,13,14],[1,2,4,5,9,12,13],[1,2,4,8,10,12,14],[1,3,5,7,10,13,14],[1,3,6,7,10,12,14],[1,4,5,7,8,11,13],[1,4,6,7,9,10,11],[1,5,6,8,9,13,14],[1,6,8,9,11,12,14],[1,7,9,10,11,12,13],[2,3,6,7,8,9,11],[2,3,7,9,12,13,14],[2,4,6,7,9,13,14],[2,4,6,10,11,13,14],[2,5,6,10,11,12,13],[2,5,7,8,9,10,12],[2,5,7,8,10,11,14],[3,4,5,9,10,11,14],[3,4,5,9,11,12,14],[3,4,6,8,10,12,13],[3,4,7,8,11,12,13],[3,5,6,8,9,10,13],[4,5,6,7,8,12,14]]; G[10532]:=Group([(1,7)(2,8)(3,11)(4,5)(6,13)(9,14)]); # Design 10533: autom. group order 2, simple B[10533]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,11,13],[1,2,4,5,10,12,14],[1,2,4,7,8,13,14],[1,3,5,7,9,13,14],[1,3,6,8,10,12,14],[1,4,5,9,10,11,13],[1,4,6,7,8,11,12],[1,5,6,10,11,13,14],[1,6,7,9,10,12,13],[1,7,8,9,11,12,14],[2,3,6,7,11,13,14],[2,3,9,10,11,12,14],[2,4,6,9,12,13,14],[2,4,7,10,11,12,13],[2,5,6,7,8,9,10],[2,5,6,8,9,12,13],[2,5,7,8,10,11,14],[3,4,5,7,9,12,14],[3,4,5,8,11,12,13],[3,4,6,7,9,10,11],[3,4,6,8,10,13,14],[3,5,7,8,10,12,13],[4,5,6,8,9,11,14]]; G[10533]:=Group([(5,8)(6,9)(7,10)(12,13)]); # Design 10534: autom. group order 2, simple B[10534]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,11,13],[1,2,4,5,10,12,14],[1,2,4,7,8,13,14],[1,3,5,7,9,13,14],[1,3,6,8,10,12,14],[1,4,5,8,11,12,13],[1,4,6,7,9,10,11],[1,5,6,10,11,13,14],[1,6,7,9,10,12,13],[1,7,8,9,11,12,14],[2,3,6,7,11,13,14],[2,3,9,10,11,12,14],[2,4,6,9,12,13,14],[2,4,7,10,11,12,13],[2,5,6,7,8,9,10],[2,5,6,8,9,12,13],[2,5,7,8,10,11,14],[3,4,5,7,9,11,12],[3,4,5,9,10,13,14],[3,4,6,7,8,12,14],[3,4,6,8,10,11,13],[3,5,7,8,10,12,13],[4,5,6,8,9,11,14]]; G[10534]:=Group([(5,8)(6,9)(7,10)(12,13)]); # Design 10535: autom. group order 2, simple B[10535]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,11,13],[1,2,4,5,10,12,14],[1,2,4,7,8,13,14],[1,3,5,7,9,13,14],[1,3,6,8,10,12,14],[1,4,5,8,11,12,13],[1,4,6,7,9,10,11],[1,5,6,10,11,13,14],[1,6,7,9,10,12,13],[1,7,8,9,11,12,14],[2,3,6,7,11,13,14],[2,3,9,10,11,12,14],[2,4,6,9,12,13,14],[2,4,7,10,11,12,13],[2,5,6,7,8,9,10],[2,5,6,8,9,12,13],[2,5,7,8,10,11,14],[3,4,5,7,9,12,14],[3,4,5,9,10,11,13],[3,4,6,7,8,11,12],[3,4,6,8,10,13,14],[3,5,7,8,10,12,13],[4,5,6,8,9,11,14]]; G[10535]:=Group([(5,8)(6,9)(7,10)(12,13)]); # Design 10536: autom. group order 2, simple B[10536]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,11,13],[1,2,4,5,10,12,14],[1,2,4,7,8,13,14],[1,3,5,7,9,13,14],[1,3,6,8,10,12,14],[1,4,5,9,10,11,13],[1,4,6,7,8,11,12],[1,5,6,10,11,13,14],[1,6,7,9,10,12,13],[1,7,8,9,11,12,14],[2,3,6,9,12,13,14],[2,3,7,10,11,12,13],[2,4,6,7,11,13,14],[2,4,9,10,11,12,14],[2,5,6,7,8,9,10],[2,5,6,8,9,11,14],[2,5,7,8,10,12,13],[3,4,5,7,9,11,12],[3,4,5,8,12,13,14],[3,4,6,7,9,10,14],[3,4,6,8,10,11,13],[3,5,7,8,10,11,14],[4,5,6,8,9,12,13]]; G[10536]:=Group([(5,8)(6,9)(7,10)(12,13)]); # Design 10537: autom. group order 2, simple, residual B[10537]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,11,13],[1,2,4,5,8,13,14],[1,2,4,10,11,12,14],[1,3,5,7,9,12,14],[1,3,6,7,10,12,13],[1,4,5,7,9,10,13],[1,4,6,7,8,11,14],[1,5,6,10,11,13,14],[1,6,8,9,12,13,14],[1,7,8,9,10,11,12],[2,3,6,9,10,11,14],[2,3,7,8,12,13,14],[2,4,6,7,9,12,14],[2,4,7,10,11,12,13],[2,5,6,7,8,9,10],[2,5,6,8,10,12,13],[2,5,7,9,11,13,14],[3,4,5,8,10,12,14],[3,4,5,9,11,12,13],[3,4,6,7,8,11,13],[3,4,6,9,10,13,14],[3,5,7,8,10,11,14],[4,5,6,8,9,11,12]]; G[10537]:=Group([(1,14)(2,10)(4,11)(6,8)]); # Design 10538: autom. group order 2, simple, residual B[10538]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,11,12,13],[1,2,4,5,7,12,14],[1,2,4,10,11,13,14],[1,3,5,7,9,13,14],[1,3,6,7,8,10,13],[1,4,5,9,10,12,13],[1,4,6,8,11,12,14],[1,5,8,9,10,11,14],[1,6,7,8,9,12,14],[1,6,7,10,11,12,13],[2,3,6,9,12,13,14],[2,3,7,10,11,12,14],[2,4,6,7,9,10,11],[2,4,6,8,9,13,14],[2,5,6,8,10,12,13],[2,5,7,8,9,10,12],[2,5,7,8,11,13,14],[3,4,5,6,10,12,14],[3,4,5,8,11,12,13],[3,4,7,8,9,11,12],[3,4,7,8,10,13,14],[3,5,6,9,10,11,14],[4,5,6,7,9,11,13]]; G[10538]:=Group([(1,14)(2,10)(4,11)(7,9)(8,12)]); # Design 10539: autom. group order 2, simple B[10539]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,12,13],[1,2,4,5,7,13,14],[1,2,4,9,11,13,14],[1,3,5,7,9,10,11],[1,3,6,9,10,13,14],[1,4,5,8,10,12,14],[1,4,6,8,10,12,13],[1,5,7,8,9,12,14],[1,6,7,8,9,11,14],[1,6,7,10,11,12,13],[2,3,6,7,8,10,14],[2,3,7,8,12,13,14],[2,4,6,7,9,10,12],[2,4,6,9,11,12,14],[2,5,6,8,10,11,14],[2,5,7,9,10,12,13],[2,5,8,9,10,11,13],[3,4,5,6,8,9,13],[3,4,5,10,11,12,14],[3,4,7,8,9,11,12],[3,4,7,10,11,13,14],[3,5,6,9,12,13,14],[4,5,6,7,8,11,13]]; G[10539]:=Group([(1,10)(3,9)(4,8)(6,13)(7,11)]); # Design 10540: autom. group order 2, simple B[10540]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,11,13],[1,2,4,5,7,13,14],[1,2,4,8,11,12,14],[1,3,5,10,12,13,14],[1,3,6,7,8,9,14],[1,4,5,9,10,11,13],[1,4,6,9,10,12,14],[1,5,7,8,10,11,12],[1,6,7,8,10,12,13],[1,6,7,9,11,13,14],[2,3,6,9,10,12,13],[2,3,7,10,11,12,14],[2,4,6,7,8,12,13],[2,4,6,10,11,13,14],[2,5,6,7,9,10,11],[2,5,7,8,9,10,14],[2,5,8,9,12,13,14],[3,4,5,6,8,10,14],[3,4,5,7,9,12,13],[3,4,7,8,10,11,13],[3,4,7,9,11,12,14],[3,5,6,8,11,13,14],[4,5,6,8,9,11,12]]; G[10540]:=Group([(1,9)(3,8)(4,10)(6,14)(11,13)]); # Design 10541: autom. group order 2, simple B[10541]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,7,9,12,13],[1,2,4,5,10,12,13],[1,2,4,7,11,12,14],[1,3,5,8,11,12,14],[1,3,6,10,11,13,14],[1,4,5,9,10,13,14],[1,4,6,8,9,11,13],[1,5,7,9,10,11,14],[1,6,7,8,9,12,13],[1,6,7,8,10,12,14],[2,3,6,7,9,10,14],[2,3,9,11,12,13,14],[2,4,6,8,10,12,14],[2,4,7,8,11,13,14],[2,5,6,7,10,11,13],[2,5,6,8,9,13,14],[2,5,8,9,10,11,12],[3,4,5,6,12,13,14],[3,4,5,7,8,9,14],[3,4,6,9,10,11,12],[3,4,7,8,10,11,13],[3,5,7,8,10,12,13],[4,5,6,7,9,11,12]]; G[10541]:=Group([(2,14)(3,10)(4,11)(6,9)(8,13)]); # Design 10542: autom. group order 2, simple B[10542]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,7,9,12,13],[1,2,4,5,10,12,13],[1,2,4,7,11,12,14],[1,3,5,8,11,12,14],[1,3,6,10,11,13,14],[1,4,5,9,10,13,14],[1,4,6,8,9,11,13],[1,5,7,9,10,11,14],[1,6,7,8,9,12,13],[1,6,7,8,10,12,14],[2,3,6,7,9,10,14],[2,3,8,10,12,13,14],[2,4,6,9,11,12,14],[2,4,7,8,11,13,14],[2,5,6,7,10,11,13],[2,5,6,8,9,13,14],[2,5,8,9,10,11,12],[3,4,5,6,12,13,14],[3,4,5,7,8,9,14],[3,4,6,9,10,11,12],[3,4,7,8,10,11,13],[3,5,7,9,11,12,13],[4,5,6,7,8,10,12]]; G[10542]:=Group([(2,14)(3,10)(4,11)(6,9)(8,13)]); # Design 10543: autom. group order 2, simple, residual B[10543]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,7,12,13,14],[1,2,4,5,9,12,13],[1,2,4,7,11,12,14],[1,3,5,8,10,11,12],[1,3,6,9,11,13,14],[1,4,5,9,10,13,14],[1,4,6,8,11,13,14],[1,5,7,8,9,10,14],[1,6,7,8,10,12,13],[1,6,7,9,10,11,12],[2,3,6,7,9,10,14],[2,3,8,10,12,13,14],[2,4,6,9,10,11,12],[2,4,7,8,10,11,13],[2,5,6,7,8,9,13],[2,5,6,10,11,13,14],[2,5,8,9,11,12,14],[3,4,5,6,10,12,13],[3,4,5,7,10,11,14],[3,4,6,8,9,12,14],[3,4,7,8,9,11,13],[3,5,7,9,11,12,13],[4,5,6,7,8,12,14]]; G[10543]:=Group([(2,10)(3,9)(4,8)(6,14)(11,13)]); # Design 10544: autom. group order 2, simple, residual B[10544]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,7,9,12,13],[1,2,4,5,10,12,13],[1,2,4,7,11,12,14],[1,3,5,8,11,12,14],[1,3,6,10,11,13,14],[1,4,5,9,10,13,14],[1,4,6,8,9,11,13],[1,5,7,9,10,11,14],[1,6,7,8,9,12,13],[1,6,7,8,10,12,14],[2,3,6,9,10,12,14],[2,3,7,9,11,13,14],[2,4,6,7,8,10,14],[2,4,8,11,12,13,14],[2,5,6,7,10,11,13],[2,5,6,8,9,13,14],[2,5,8,9,10,11,12],[3,4,5,6,12,13,14],[3,4,5,7,8,9,14],[3,4,6,9,10,11,12],[3,4,7,8,10,11,13],[3,5,7,8,10,12,13],[4,5,6,7,9,11,12]]; G[10544]:=Group([(2,14)(3,10)(4,11)(6,9)(8,13)]); # Design 10545: autom. group order 2, simple B[10545]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,7,9,12,13],[1,2,4,5,10,12,13],[1,2,4,7,11,12,14],[1,3,5,8,11,12,14],[1,3,6,10,11,13,14],[1,4,5,9,10,13,14],[1,4,6,8,9,11,13],[1,5,7,9,10,11,14],[1,6,7,8,9,12,13],[1,6,7,8,10,12,14],[2,3,6,9,10,12,14],[2,3,7,8,10,13,14],[2,4,6,7,9,11,14],[2,4,8,11,12,13,14],[2,5,6,7,10,11,13],[2,5,6,8,9,13,14],[2,5,8,9,10,11,12],[3,4,5,6,12,13,14],[3,4,5,7,8,9,14],[3,4,6,9,10,11,12],[3,4,7,8,10,11,13],[3,5,7,9,11,12,13],[4,5,6,7,8,10,12]]; G[10545]:=Group([(2,14)(3,10)(4,11)(6,9)(8,13)]); # Design 10546: autom. group order 2, simple B[10546]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,7,12,13,14],[1,2,4,5,9,12,13],[1,2,4,7,10,11,12],[1,3,5,8,11,12,14],[1,3,6,9,10,11,13],[1,4,5,9,10,13,14],[1,4,6,8,11,13,14],[1,5,7,8,10,13,14],[1,6,7,8,9,12,14],[1,6,7,9,10,11,12],[2,3,6,10,12,13,14],[2,3,7,9,11,13,14],[2,4,6,7,8,10,14],[2,4,8,9,11,12,14],[2,5,6,7,8,9,13],[2,5,6,9,10,11,14],[2,5,8,10,11,12,13],[3,4,5,6,9,12,14],[3,4,5,7,10,11,14],[3,4,6,8,10,12,13],[3,4,7,8,9,11,13],[3,5,7,8,9,10,12],[4,5,6,7,11,12,13]]; G[10546]:=Group([(2,14)(3,13)(4,8)(6,10)(9,11)]); # Design 10547: autom. group order 2, simple, residual B[10547]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,7,11,12,13],[1,2,4,5,9,12,14],[1,2,4,7,11,13,14],[1,3,5,8,10,12,14],[1,3,6,9,12,13,14],[1,4,5,9,10,11,13],[1,4,6,8,12,13,14],[1,5,7,8,9,10,13],[1,6,7,8,10,11,14],[1,6,7,9,10,11,12],[2,3,6,9,10,13,14],[2,3,7,8,10,12,13],[2,4,6,7,9,10,12],[2,4,8,10,11,12,14],[2,5,6,7,8,9,14],[2,5,6,10,11,13,14],[2,5,8,9,11,12,13],[3,4,5,6,10,11,12],[3,4,5,7,10,13,14],[3,4,6,8,9,11,13],[3,4,7,8,9,11,14],[3,5,7,9,11,12,14],[4,5,6,7,8,12,13]]; G[10547]:=Group([(2,10)(3,9)(4,8)(6,13)]); # Design 10548: autom. group order 2, simple, residual B[10548]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,7,12,13,14],[1,2,4,5,9,12,13],[1,2,4,7,11,12,14],[1,3,5,8,10,11,12],[1,3,6,9,11,13,14],[1,4,5,9,10,13,14],[1,4,6,8,11,13,14],[1,5,7,8,9,10,14],[1,6,7,8,10,12,13],[1,6,7,9,10,11,12],[2,3,6,9,10,12,14],[2,3,7,8,10,13,14],[2,4,6,7,9,10,11],[2,4,8,10,11,12,13],[2,5,6,7,8,9,13],[2,5,6,10,11,13,14],[2,5,8,9,11,12,14],[3,4,5,6,10,12,13],[3,4,5,7,10,11,14],[3,4,6,8,9,12,14],[3,4,7,8,9,11,13],[3,5,7,9,11,12,13],[4,5,6,7,8,12,14]]; G[10548]:=Group([(2,10)(3,9)(4,8)(6,14)(11,13)]); # Design 10549: autom. group order 2, simple B[10549]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,7,9,12,13],[1,2,4,5,10,12,13],[1,2,4,7,11,12,14],[1,3,5,8,11,12,14],[1,3,6,10,11,13,14],[1,4,5,9,10,13,14],[1,4,6,8,9,11,13],[1,5,7,9,10,11,14],[1,6,7,8,9,12,13],[1,6,7,8,10,12,14],[2,3,6,9,10,12,14],[2,3,7,8,10,13,14],[2,4,6,9,11,12,14],[2,4,7,8,11,13,14],[2,5,6,7,10,11,13],[2,5,6,8,9,13,14],[2,5,8,9,10,11,12],[3,4,5,6,12,13,14],[3,4,5,7,8,9,14],[3,4,6,7,9,10,11],[3,4,8,10,11,12,13],[3,5,7,9,11,12,13],[4,5,6,7,8,10,12]]; G[10549]:=Group([(2,14)(3,10)(4,11)(6,9)(8,13)]); # Design 10550: autom. group order 2, simple, residual B[10550]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,11,13],[1,2,4,5,10,12,14],[1,2,4,7,8,13,14],[1,3,5,7,9,13,14],[1,3,6,8,10,12,14],[1,4,5,7,9,11,12],[1,4,6,8,10,11,13],[1,5,9,10,11,13,14],[1,6,7,8,11,12,14],[1,6,7,9,10,12,13],[2,3,6,9,12,13,14],[2,3,7,10,11,12,13],[2,4,6,7,11,13,14],[2,4,9,10,11,12,14],[2,5,6,7,8,9,10],[2,5,6,8,9,11,14],[2,5,7,8,10,12,13],[3,4,5,6,10,13,14],[3,4,5,8,11,12,13],[3,4,6,7,9,10,11],[3,4,7,8,9,12,14],[3,5,7,8,10,11,14],[4,5,6,8,9,12,13]]; G[10550]:=Group([(5,8)(6,9)(7,10)(12,13)]); # Design 10551: autom. group order 2, simple B[10551]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,11,13],[1,2,4,5,10,12,14],[1,2,4,7,8,13,14],[1,3,5,7,9,13,14],[1,3,6,8,10,12,14],[1,4,5,9,10,11,13],[1,4,6,7,8,11,12],[1,5,7,9,11,12,14],[1,6,7,9,10,12,13],[1,6,8,10,11,13,14],[2,3,6,9,12,13,14],[2,3,7,10,11,12,13],[2,4,6,7,11,13,14],[2,4,9,10,11,12,14],[2,5,6,7,8,9,10],[2,5,6,8,9,11,14],[2,5,7,8,10,12,13],[3,4,5,6,10,11,13],[3,4,5,8,12,13,14],[3,4,6,7,9,10,14],[3,4,7,8,9,11,12],[3,5,7,8,10,11,14],[4,5,6,8,9,12,13]]; G[10551]:=Group([(5,8)(6,9)(7,10)(12,13)]); # Design 10552: autom. group order 2, simple, residual B[10552]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,12,13,14],[1,2,4,5,10,12,13],[1,2,4,7,11,12,14],[1,3,5,8,10,12,14],[1,3,6,7,10,11,13],[1,4,5,9,11,13,14],[1,4,6,7,8,13,14],[1,5,7,8,9,11,13],[1,6,7,9,10,12,14],[1,6,8,9,10,11,12],[2,3,6,9,11,13,14],[2,3,7,10,11,12,13],[2,4,6,8,11,12,14],[2,4,7,8,9,10,11],[2,5,6,7,9,10,14],[2,5,6,8,9,12,13],[2,5,7,8,10,13,14],[3,4,5,6,7,9,12],[3,4,5,9,10,11,14],[3,4,6,8,10,13,14],[3,4,7,8,9,12,13],[3,5,7,8,11,12,14],[4,5,6,10,11,12,13]]; G[10552]:=Group([(2,12)(3,10)(4,14)(5,9)]); # Design 10553: autom. group order 2, simple, residual B[10553]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,12,13,14],[1,2,4,5,11,12,13],[1,2,4,7,10,12,14],[1,3,5,9,10,13,14],[1,3,6,8,11,12,14],[1,4,5,7,9,10,11],[1,4,6,7,8,13,14],[1,5,8,10,11,13,14],[1,6,7,8,9,10,12],[1,6,7,9,11,12,13],[2,3,6,7,10,11,13],[2,3,7,10,11,12,14],[2,4,6,8,10,13,14],[2,4,8,9,11,12,13],[2,5,6,7,9,13,14],[2,5,6,8,9,10,12],[2,5,7,8,9,11,14],[3,4,5,6,9,12,14],[3,4,5,7,8,12,13],[3,4,6,9,10,11,13],[3,4,7,8,9,11,14],[3,5,7,8,10,12,13],[4,5,6,10,11,12,14]]; G[10553]:=Group([(1,9)(2,11)(3,7)(5,8)(6,14)(12,13)]); # Design 10554: autom. group order 2, simple, residual B[10554]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,13,14],[1,2,4,5,12,13,14],[1,2,4,7,9,12,13],[1,3,5,7,9,10,11],[1,3,6,9,10,13,14],[1,4,5,8,10,11,14],[1,4,7,8,10,11,12],[1,5,6,7,10,13,14],[1,6,7,8,9,12,14],[1,6,8,9,11,12,13],[2,3,6,7,8,10,12],[2,3,7,8,11,13,14],[2,4,6,7,9,11,14],[2,4,6,9,10,11,14],[2,5,6,8,10,12,14],[2,5,7,8,9,10,13],[2,5,9,10,11,12,13],[3,4,5,6,8,9,13],[3,4,5,8,9,12,14],[3,4,6,10,11,12,13],[3,4,7,10,12,13,14],[3,5,7,9,11,12,14],[4,5,6,7,8,11,13]]; G[10554]:=Group([(1,10)(3,9)(4,8)(6,13)]); # Design 10555: autom. group order 2, simple, residual B[10555]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,13,14],[1,2,4,5,7,9,13],[1,2,4,10,12,13,14],[1,3,5,9,10,11,14],[1,3,7,10,11,12,13],[1,4,5,6,8,10,14],[1,4,6,8,11,12,13],[1,5,7,8,9,12,14],[1,6,7,8,9,10,12],[1,6,7,9,11,13,14],[2,3,6,7,8,9,13],[2,3,7,8,10,12,14],[2,4,6,9,10,11,12],[2,4,7,9,11,12,14],[2,5,6,7,10,11,14],[2,5,6,8,12,13,14],[2,5,8,9,10,11,13],[3,4,5,7,8,11,12],[3,4,5,9,12,13,14],[3,4,6,7,10,13,14],[3,4,6,8,9,11,14],[3,5,6,9,10,12,13],[4,5,7,8,10,11,13]]; G[10555]:=Group([(1,8)(2,11)(3,13)(6,10)(9,12)]); # Design 10556: autom. group order 2, simple, residual B[10556]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,12,13],[1,2,4,5,7,13,14],[1,2,4,8,9,11,14],[1,3,5,9,10,13,14],[1,3,7,9,11,12,14],[1,4,5,6,10,12,14],[1,4,6,8,10,12,13],[1,5,7,8,9,12,13],[1,6,7,8,10,11,14],[1,6,7,9,10,11,13],[2,3,6,7,8,10,14],[2,3,7,10,12,13,14],[2,4,6,9,11,13,14],[2,4,7,10,11,12,13],[2,5,6,7,8,9,13],[2,5,6,9,10,11,12],[2,5,8,9,10,12,14],[3,4,5,7,9,10,11],[3,4,5,8,10,11,13],[3,4,6,7,8,9,12],[3,4,6,9,12,13,14],[3,5,6,8,11,13,14],[4,5,7,8,11,12,14]]; G[10556]:=Group([(1,12)(3,11)(4,10)(7,9)(8,13)]); # Design 10557: autom. group order 2, simple, residual B[10557]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,11,13],[1,2,4,5,7,13,14],[1,2,4,8,11,12,14],[1,3,5,10,12,13,14],[1,3,7,8,9,12,14],[1,4,5,6,9,10,14],[1,4,6,9,10,11,13],[1,5,7,9,11,12,13],[1,6,7,8,10,11,14],[1,6,7,8,10,12,13],[2,3,6,7,10,11,14],[2,3,7,9,10,13,14],[2,4,6,8,12,13,14],[2,4,7,10,11,12,13],[2,5,6,7,8,9,13],[2,5,6,8,9,10,12],[2,5,9,10,11,12,14],[3,4,5,7,8,10,12],[3,4,5,8,10,11,13],[3,4,6,7,9,11,12],[3,4,6,9,12,13,14],[3,5,6,8,11,13,14],[4,5,7,8,9,11,14]]; G[10557]:=Group([(1,9)(3,8)(4,10)(7,12)(11,13)]); # Design 10558: autom. group order 2, simple, residual B[10558]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,11,13],[1,2,4,5,7,13,14],[1,2,4,8,11,12,14],[1,3,5,10,12,13,14],[1,3,7,8,9,12,14],[1,4,5,6,9,10,14],[1,4,6,9,10,11,13],[1,5,7,8,10,12,13],[1,6,7,8,10,11,14],[1,6,7,9,11,12,13],[2,3,6,7,10,11,14],[2,3,7,9,10,13,14],[2,4,6,8,12,13,14],[2,4,7,10,11,12,13],[2,5,6,7,8,9,13],[2,5,6,8,9,10,12],[2,5,9,10,11,12,14],[3,4,5,7,9,11,12],[3,4,5,8,10,11,13],[3,4,6,7,8,10,12],[3,4,6,9,12,13,14],[3,5,6,8,11,13,14],[4,5,7,8,9,11,14]]; G[10558]:=Group([(1,9)(3,8)(4,10)(7,12)(11,13)]); # Design 10559: autom. group order 2, simple, residual B[10559]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,13,14],[1,2,4,5,9,10,13],[1,2,4,7,12,13,14],[1,3,5,9,11,13,14],[1,3,7,9,10,11,12],[1,4,5,6,8,12,14],[1,4,6,7,10,11,14],[1,5,7,8,10,11,12],[1,6,7,8,9,13,14],[1,6,8,9,10,12,13],[2,3,6,7,9,12,13],[2,3,7,8,10,12,14],[2,4,6,8,9,11,12],[2,4,10,11,12,13,14],[2,5,6,7,9,10,14],[2,5,6,8,10,11,13],[2,5,7,8,9,11,14],[3,4,5,7,8,10,13],[3,4,5,8,9,12,14],[3,4,6,7,8,11,13],[3,4,6,9,10,11,14],[3,5,6,10,12,13,14],[4,5,7,9,11,12,13]]; G[10559]:=Group([(2,13)(3,9)(4,14)(5,8)(10,11)]); # Design 10560: autom. group order 2, simple, residual B[10560]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,7,8,9,13],[1,2,4,5,11,13,14],[1,2,4,7,10,11,14],[1,3,5,8,10,12,14],[1,3,9,11,12,13,14],[1,4,5,8,9,12,14],[1,4,6,7,8,12,13],[1,5,6,9,10,11,13],[1,6,7,8,10,13,14],[1,6,7,9,10,11,12],[2,3,6,7,9,12,14],[2,3,8,10,11,12,13],[2,4,6,8,11,12,13],[2,4,6,9,10,12,14],[2,5,6,8,9,13,14],[2,5,7,8,9,10,11],[2,5,7,10,12,13,14],[3,4,5,6,9,10,13],[3,4,5,7,10,12,13],[3,4,6,8,10,11,14],[3,4,7,9,11,13,14],[3,5,6,7,8,11,14],[4,5,7,8,9,11,12]]; G[10560]:=Group([(1,11)(2,14)(5,13)(6,9)]); # Design 10561: autom. group order 2, simple B[10561]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,7,8,9,13],[1,2,4,5,11,13,14],[1,2,4,8,12,13,14],[1,3,5,7,10,11,14],[1,3,9,11,12,13,14],[1,4,5,7,9,10,12],[1,4,6,8,10,11,14],[1,5,6,9,10,12,13],[1,6,7,8,9,12,14],[1,6,7,8,10,11,13],[2,3,6,10,12,13,14],[2,3,7,8,10,11,12],[2,4,6,7,9,11,13],[2,4,6,7,10,12,14],[2,5,6,8,9,11,12],[2,5,7,9,10,13,14],[2,5,8,9,10,11,14],[3,4,5,6,8,9,14],[3,4,5,8,10,12,13],[3,4,6,9,10,11,13],[3,4,7,9,11,12,14],[3,5,6,7,8,13,14],[4,5,7,8,11,12,13]]; G[10561]:=Group([(1,14)(3,10)(4,13)(6,9)(8,12)]); # Design 10562: autom. group order 2, simple, residual B[10562]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,7,8,13,14],[1,2,4,5,11,13,14],[1,2,4,8,9,12,13],[1,3,5,7,9,10,11],[1,3,9,10,11,12,13],[1,4,5,7,10,12,14],[1,4,6,8,9,11,14],[1,5,6,8,10,12,14],[1,6,7,8,10,11,13],[1,6,7,9,12,13,14],[2,3,6,10,12,13,14],[2,3,7,8,11,12,14],[2,4,6,7,9,10,12],[2,4,6,7,10,11,13],[2,5,6,8,9,11,12],[2,5,7,8,9,10,14],[2,5,9,10,11,13,14],[3,4,5,6,9,13,14],[3,4,5,8,10,12,13],[3,4,6,8,10,11,14],[3,4,7,9,11,12,14],[3,5,6,7,8,9,13],[4,5,7,8,11,12,13]]; G[10562]:=Group([(1,9)(3,10)(4,8)(6,14)(12,13)]); # Design 10563: autom. group order 2, simple B[10563]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,7,8,9,13],[1,2,4,5,11,13,14],[1,2,4,8,12,13,14],[1,3,5,7,10,11,14],[1,3,8,10,11,12,14],[1,4,5,7,9,10,12],[1,4,6,9,11,13,14],[1,5,6,9,10,12,13],[1,6,7,8,9,12,14],[1,6,7,8,10,11,13],[2,3,6,10,12,13,14],[2,3,7,9,11,12,13],[2,4,6,7,8,10,11],[2,4,6,7,10,12,14],[2,5,6,8,9,11,12],[2,5,7,9,10,13,14],[2,5,8,9,10,11,14],[3,4,5,6,8,9,14],[3,4,5,8,10,12,13],[3,4,6,9,10,11,13],[3,4,7,9,11,12,14],[3,5,6,7,8,13,14],[4,5,7,8,11,12,13]]; G[10563]:=Group([(1,14)(3,10)(4,13)(6,9)(8,12)]); # Design 10564: autom. group order 2, simple, residual B[10564]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,7,8,13,14],[1,2,4,5,11,13,14],[1,2,4,8,9,12,13],[1,3,5,7,9,10,11],[1,3,8,9,11,12,14],[1,4,5,7,10,12,14],[1,4,6,9,10,11,13],[1,5,6,8,10,12,14],[1,6,7,8,10,11,13],[1,6,7,9,12,13,14],[2,3,6,10,12,13,14],[2,3,7,10,11,12,13],[2,4,6,7,8,11,14],[2,4,6,7,9,10,12],[2,5,6,8,9,11,12],[2,5,7,8,9,10,14],[2,5,9,10,11,13,14],[3,4,5,6,9,13,14],[3,4,5,8,10,12,13],[3,4,6,8,10,11,14],[3,4,7,9,11,12,14],[3,5,6,7,8,9,13],[4,5,7,8,11,12,13]]; G[10564]:=Group([(1,9)(3,10)(4,8)(6,14)(12,13)]); # Design 10565: autom. group order 2, simple, residual B[10565]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,11,12,13],[1,2,4,5,7,12,14],[1,2,4,10,11,13,14],[1,3,5,8,10,12,13],[1,3,7,10,11,12,14],[1,4,5,8,9,13,14],[1,4,6,9,11,12,14],[1,5,6,7,9,10,13],[1,6,7,8,9,10,12],[1,6,7,8,11,13,14],[2,3,6,7,9,13,14],[2,3,7,8,9,12,14],[2,4,6,7,8,10,11],[2,4,6,9,10,12,13],[2,5,6,8,12,13,14],[2,5,7,10,11,12,13],[2,5,8,9,10,11,14],[3,4,5,6,10,12,14],[3,4,5,7,9,11,13],[3,4,6,8,11,12,13],[3,4,7,8,10,13,14],[3,5,6,9,10,11,14],[4,5,7,8,9,11,12]]; G[10565]:=Group([(1,10)(2,14)(4,11)(7,9)(8,12)]); # Design 10566: autom. group order 2, simple, residual B[10566]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,13,14],[1,2,4,5,12,13,14],[1,2,4,7,8,9,12],[1,3,5,9,10,11,13],[1,3,7,9,10,12,13],[1,4,5,7,10,13,14],[1,4,6,8,9,11,14],[1,5,6,7,9,11,14],[1,6,7,8,10,11,12],[1,6,8,10,12,13,14],[2,3,6,7,10,12,14],[2,3,7,8,11,13,14],[2,4,6,7,10,11,13],[2,4,6,9,10,11,13],[2,5,6,8,9,12,13],[2,5,7,8,9,10,14],[2,5,9,10,11,12,14],[3,4,5,6,8,10,14],[3,4,5,8,10,11,12],[3,4,6,9,12,13,14],[3,4,7,9,11,12,14],[3,5,6,7,8,9,13],[4,5,7,8,11,12,13]]; G[10566]:=Group([(1,9)(3,10)(4,8)(6,14)]); # Design 10567: autom. group order 2, simple, residual B[10567]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,13,14],[1,2,4,5,12,13,14],[1,2,4,7,8,9,12],[1,3,5,9,10,11,13],[1,3,7,9,10,12,13],[1,4,5,7,10,13,14],[1,4,6,8,9,11,14],[1,5,6,7,8,10,11],[1,6,7,9,11,12,14],[1,6,8,10,12,13,14],[2,3,6,7,10,12,14],[2,3,7,8,11,13,14],[2,4,6,9,10,11,13],[2,4,6,10,11,12,13],[2,5,6,7,8,9,13],[2,5,7,9,10,11,14],[2,5,8,9,10,12,14],[3,4,5,6,8,10,14],[3,4,5,9,11,12,14],[3,4,6,7,9,13,14],[3,4,7,8,10,11,12],[3,5,6,8,9,12,13],[4,5,7,8,11,12,13]]; G[10567]:=Group([(1,9)(3,10)(4,8)(6,14)(7,12)]); # Design 10568: autom. group order 2, simple, residual B[10568]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,11,12,13],[1,2,4,5,12,13,14],[1,2,4,7,8,12,14],[1,3,5,10,11,13,14],[1,3,7,8,10,13,14],[1,4,5,7,9,10,13],[1,4,6,9,11,12,14],[1,5,6,7,10,11,12],[1,6,7,8,9,11,14],[1,6,8,9,10,12,13],[2,3,6,7,10,12,14],[2,3,7,9,11,12,13],[2,4,6,8,10,11,13],[2,4,6,10,11,13,14],[2,5,6,7,8,9,13],[2,5,7,9,10,11,14],[2,5,8,9,10,12,14],[3,4,5,6,9,10,12],[3,4,5,8,9,11,14],[3,4,6,7,9,13,14],[3,4,7,8,10,11,12],[3,5,6,8,12,13,14],[4,5,7,8,11,12,13]]; G[10568]:=Group([(1,14)(3,10)(4,12)(6,9)(7,8)]); # Design 10569: autom. group order 2, simple, residual B[10569]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,7,9,12,13],[1,2,4,5,11,12,14],[1,2,4,7,10,13,14],[1,3,5,10,12,13,14],[1,3,8,9,11,12,14],[1,4,5,8,9,13,14],[1,4,6,7,10,11,12],[1,5,6,8,10,11,13],[1,6,7,8,9,10,12],[1,6,7,9,11,13,14],[2,3,6,10,11,13,14],[2,3,7,8,11,12,13],[2,4,6,9,11,12,14],[2,4,8,9,10,11,13],[2,5,6,7,8,9,14],[2,5,6,9,10,12,13],[2,5,7,8,10,12,14],[3,4,5,6,9,12,13],[3,4,5,7,9,10,11],[3,4,6,7,8,13,14],[3,4,6,8,10,12,14],[3,5,7,9,10,11,14],[4,5,7,8,11,12,13]]; G[10569]:=Group([(1,13)(2,8)(3,11)(5,7)(6,12)(9,10)]); # Design 10570: autom. group order 2, simple, residual B[10570]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,9,11],[1,2,3,6,12,13,14],[1,2,4,5,11,12,13],[1,2,4,6,8,10,14],[1,3,5,7,10,12,14],[1,3,7,9,10,11,12],[1,4,5,7,9,13,14],[1,4,7,8,11,13,14],[1,5,6,9,10,11,13],[1,6,7,8,9,12,13],[1,6,8,10,11,12,14],[2,3,6,7,10,11,13],[2,3,7,8,11,13,14],[2,4,6,7,9,11,12],[2,4,7,9,10,12,14],[2,5,6,9,10,13,14],[2,5,7,8,10,12,13],[2,5,8,9,11,12,14],[3,4,5,6,11,12,14],[3,4,5,8,10,12,13],[3,4,6,8,9,12,13],[3,4,9,10,11,13,14],[3,5,6,7,8,9,14],[4,5,6,7,8,10,11]]; G[10570]:=Group([(1,2)(3,4)(5,6)(9,10)(11,14)]); # Design 10571: autom. group order 2, simple B[10571]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,9,11],[1,2,3,6,12,13,14],[1,2,4,5,11,12,13],[1,2,4,6,8,10,14],[1,3,5,7,10,12,14],[1,3,7,9,10,11,13],[1,4,5,7,9,13,14],[1,4,7,8,11,12,14],[1,5,6,9,10,11,12],[1,6,7,8,10,12,13],[1,6,8,9,11,13,14],[2,3,6,7,10,11,13],[2,3,7,8,11,12,14],[2,4,6,7,9,11,12],[2,4,7,9,10,13,14],[2,5,6,9,10,12,14],[2,5,7,8,9,12,13],[2,5,8,10,11,13,14],[3,4,5,6,11,13,14],[3,4,5,8,10,12,13],[3,4,6,8,9,12,13],[3,4,9,10,11,12,14],[3,5,6,7,8,9,14],[4,5,6,7,8,10,11]]; G[10571]:=Group([(1,2)(3,4)(5,6)(9,10)(11,14)]); # Design 10572: autom. group order 2, simple, residual B[10572]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,13,14],[1,2,4,5,9,13,14],[1,2,4,6,10,11,12],[1,3,5,7,10,11,13],[1,3,7,8,9,11,14],[1,4,5,10,11,12,14],[1,4,7,8,12,13,14],[1,5,6,7,8,10,13],[1,6,7,9,11,12,14],[1,6,8,9,10,12,13],[2,3,6,8,11,12,13],[2,3,7,10,12,13,14],[2,4,6,7,8,11,14],[2,4,7,9,10,11,13],[2,5,6,7,8,10,14],[2,5,7,9,11,12,13],[2,5,8,9,10,12,14],[3,4,5,6,12,13,14],[3,4,5,7,8,9,12],[3,4,6,7,9,10,12],[3,4,8,10,11,13,14],[3,5,6,9,10,11,14],[4,5,6,8,9,11,13]]; G[10572]:=Group([(1,2)(3,4)(5,6)(8,10)(13,14)]); # Design 10573: autom. group order 2, simple B[10573]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,13,14],[1,2,4,5,10,13,14],[1,2,4,6,8,11,12],[1,3,5,7,9,11,13],[1,3,7,10,11,12,14],[1,4,5,9,12,13,14],[1,4,7,8,10,11,13],[1,5,6,7,9,10,12],[1,6,7,8,12,13,14],[1,6,8,9,10,11,14],[2,3,6,10,11,13,14],[2,3,7,8,9,12,13],[2,4,6,7,10,12,13],[2,4,7,9,11,12,14],[2,5,6,7,9,10,11],[2,5,7,8,11,13,14],[2,5,8,9,10,12,14],[3,4,5,6,11,12,14],[3,4,5,7,8,10,14],[3,4,6,7,8,9,14],[3,4,9,10,11,12,13],[3,5,6,8,10,12,13],[4,5,6,8,9,11,13]]; G[10573]:=Group([(1,2)(3,4)(5,6)(9,10)(11,12)]); # Design 10574: autom. group order 2, simple B[10574]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,9,14],[1,2,4,5,10,11,14],[1,2,4,7,8,12,13],[1,3,5,6,7,12,14],[1,3,6,8,10,11,13],[1,4,5,9,11,13,14],[1,4,6,9,10,11,12],[1,5,7,8,10,13,14],[1,6,7,9,11,12,13],[1,7,8,9,10,12,14],[2,3,7,9,10,11,13],[2,3,7,10,11,12,14],[2,4,6,7,9,13,14],[2,4,6,10,12,13,14],[2,5,6,7,8,9,11],[2,5,6,8,10,12,13],[2,5,8,9,11,12,14],[3,4,5,7,9,10,12],[3,4,5,8,9,12,13],[3,4,6,8,11,12,14],[3,4,7,8,11,13,14],[3,5,6,9,10,13,14],[4,5,6,7,8,10,11]]; G[10574]:=Group([(1,3)(2,6)(4,14)(5,8)(7,9)(10,12)]); # Design 10575: autom. group order 2, simple, residual B[10575]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,9,11],[1,2,3,6,10,12,13],[1,2,4,5,11,12,14],[1,2,4,10,11,13,14],[1,3,5,6,8,13,14],[1,3,6,7,11,12,14],[1,4,5,7,9,13,14],[1,4,7,9,10,12,13],[1,5,7,8,10,11,12],[1,6,7,8,9,10,11],[1,6,8,9,12,13,14],[2,3,7,8,10,13,14],[2,3,7,9,11,12,13],[2,4,6,7,8,9,14],[2,4,6,8,11,12,13],[2,5,6,7,9,11,13],[2,5,6,9,10,12,14],[2,5,7,8,10,12,14],[3,4,5,6,9,10,12],[3,4,5,7,8,12,13],[3,4,6,7,10,11,14],[3,4,8,9,11,12,14],[3,5,9,10,11,13,14],[4,5,6,8,10,11,13]]; G[10575]:=Group([(1,11)(2,14)(5,12)(6,9)(7,8)]); # Design 10576: autom. group order 2, simple B[10576]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,7,8,11],[1,2,4,5,9,10,14],[1,2,4,8,12,13,14],[1,3,5,6,9,12,14],[1,3,7,10,11,13,14],[1,4,5,6,10,11,13],[1,4,7,9,11,12,13],[1,5,7,8,10,12,14],[1,6,7,8,9,11,14],[1,6,8,9,10,12,13],[2,3,6,8,10,13,14],[2,3,7,9,12,13,14],[2,4,6,9,11,13,14],[2,4,7,8,10,11,12],[2,5,6,7,10,12,13],[2,5,6,8,9,11,12],[2,5,7,9,10,11,14],[3,4,5,7,8,9,13],[3,4,5,8,11,12,14],[3,4,6,7,9,10,12],[3,4,6,10,11,12,14],[3,5,8,9,10,11,13],[4,5,6,7,8,13,14]]; G[10576]:=Group([(1,2)(3,4)(5,8)(6,10)(7,9)(11,14)]); # Design 10577: autom. group order 2, simple, residual B[10577]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,5,10,13,14],[1,2,4,7,9,12,14],[1,3,5,6,7,12,14],[1,3,8,9,10,13,14],[1,4,5,6,10,11,13],[1,4,7,8,9,11,12],[1,5,9,11,12,13,14],[1,6,7,8,10,11,14],[1,6,7,8,10,12,13],[2,3,6,10,11,12,14],[2,3,7,8,11,13,14],[2,4,6,8,12,13,14],[2,4,7,10,11,12,13],[2,5,6,7,8,9,10],[2,5,6,8,9,12,13],[2,5,7,9,10,11,14],[3,4,5,7,8,11,13],[3,4,5,8,10,12,14],[3,4,6,7,9,13,14],[3,4,6,9,10,11,12],[3,5,7,9,10,12,13],[4,5,6,8,9,11,14]]; G[10577]:=Group([(5,9)(6,8)(7,10)(12,13)]); # Design 10578: autom. group order 2, simple, residual B[10578]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,5,10,13,14],[1,2,4,7,9,12,14],[1,3,5,6,7,13,14],[1,3,8,9,10,12,14],[1,4,5,6,10,11,12],[1,4,7,8,9,11,13],[1,5,9,11,12,13,14],[1,6,7,8,10,11,14],[1,6,7,8,10,12,13],[2,3,6,10,11,12,14],[2,3,7,8,11,13,14],[2,4,6,8,12,13,14],[2,4,7,10,11,12,13],[2,5,6,7,8,9,10],[2,5,6,8,9,12,13],[2,5,7,9,10,11,14],[3,4,5,7,8,12,14],[3,4,5,8,10,11,13],[3,4,6,7,9,11,12],[3,4,6,9,10,13,14],[3,5,7,9,10,12,13],[4,5,6,8,9,11,14]]; G[10578]:=Group([(5,9)(6,8)(7,10)(12,13)]); # Design 10579: autom. group order 2, simple B[10579]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,5,10,13,14],[1,2,4,7,9,12,14],[1,3,5,6,7,13,14],[1,3,8,9,10,12,14],[1,4,5,6,10,11,12],[1,4,7,8,9,11,13],[1,5,8,10,11,13,14],[1,6,7,8,10,12,13],[1,6,7,9,11,12,14],[2,3,6,10,11,12,14],[2,3,7,8,11,13,14],[2,4,6,8,12,13,14],[2,4,7,10,11,12,13],[2,5,6,7,8,9,10],[2,5,6,8,9,12,13],[2,5,7,9,10,11,14],[3,4,5,7,8,12,14],[3,4,5,9,11,12,13],[3,4,6,7,8,10,11],[3,4,6,9,10,13,14],[3,5,7,9,10,12,13],[4,5,6,8,9,11,14]]; G[10579]:=Group([(5,9)(6,8)(7,10)(12,13)]); # Design 10580: autom. group order 2, simple, residual B[10580]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,5,10,13,14],[1,2,4,7,9,12,14],[1,3,5,6,10,12,14],[1,3,7,8,9,13,14],[1,4,5,6,7,11,13],[1,4,8,9,10,11,12],[1,5,9,11,12,13,14],[1,6,7,8,10,11,14],[1,6,7,8,10,12,13],[2,3,6,8,12,13,14],[2,3,7,10,11,12,13],[2,4,6,10,11,12,14],[2,4,7,8,11,13,14],[2,5,6,7,8,9,10],[2,5,6,8,9,11,14],[2,5,7,9,10,12,13],[3,4,5,7,8,12,14],[3,4,5,8,10,11,13],[3,4,6,7,9,11,12],[3,4,6,9,10,13,14],[3,5,7,9,10,11,14],[4,5,6,8,9,12,13]]; G[10580]:=Group([(5,9)(6,8)(7,10)(12,13)]); # Design 10581: autom. group order 2, simple B[10581]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,4,5,9,12,14],[1,2,4,7,10,12,13],[1,3,5,6,10,13,14],[1,3,7,8,12,13,14],[1,4,5,6,8,9,11],[1,4,7,8,10,11,14],[1,5,7,9,10,11,12],[1,6,7,9,11,13,14],[1,6,8,9,10,12,13],[2,3,6,7,8,9,12],[2,3,7,9,10,11,14],[2,4,6,9,10,13,14],[2,4,8,11,12,13,14],[2,5,6,7,8,10,13],[2,5,6,10,11,12,14],[2,5,7,8,9,11,13],[3,4,5,7,9,13,14],[3,4,5,8,10,11,13],[3,4,6,7,10,11,12],[3,4,6,9,11,12,13],[3,5,8,9,10,12,14],[4,5,6,7,8,12,14]]; G[10581]:=Group([(1,14)(2,12)(3,8)(4,5)(6,7)(11,13)]); # Design 10582: autom. group order 2, simple, residual B[10582]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,4,5,8,12,13],[1,2,4,7,9,11,14],[1,3,5,6,9,10,11],[1,3,7,8,10,12,14],[1,4,5,7,9,13,14],[1,4,6,10,12,13,14],[1,5,6,9,10,12,14],[1,6,7,8,10,11,13],[1,7,8,9,11,12,13],[2,3,6,7,12,13,14],[2,3,7,9,10,13,14],[2,4,6,7,10,11,12],[2,4,6,8,9,10,13],[2,5,6,8,9,12,14],[2,5,7,9,10,11,12],[2,5,8,10,11,13,14],[3,4,5,7,8,10,12],[3,4,5,10,11,13,14],[3,4,6,9,11,12,13],[3,4,8,9,11,12,14],[3,5,6,7,8,9,13],[4,5,6,7,8,11,14]]; G[10582]:=Group([(1,14)(2,11)(3,8)(10,12)]); # Design 10583: autom. group order 2, simple, residual B[10583]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,4,5,8,12,13],[1,2,4,7,9,11,14],[1,3,5,6,9,10,11],[1,3,7,8,10,12,14],[1,4,5,7,9,13,14],[1,4,6,10,12,13,14],[1,5,6,9,10,12,14],[1,6,7,8,11,12,13],[1,7,8,9,10,11,13],[2,3,6,7,10,13,14],[2,3,7,9,12,13,14],[2,4,6,7,10,11,12],[2,4,6,8,9,10,13],[2,5,6,8,9,12,14],[2,5,7,9,10,11,12],[2,5,8,10,11,13,14],[3,4,5,7,8,10,12],[3,4,5,10,11,13,14],[3,4,6,9,11,12,13],[3,4,8,9,11,12,14],[3,5,6,7,8,9,13],[4,5,6,7,8,11,14]]; G[10583]:=Group([(1,14)(2,11)(3,8)(10,12)]); # Design 10584: autom. group order 2, simple, residual B[10584]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,7,9,13],[1,2,4,5,11,13,14],[1,2,4,9,12,13,14],[1,3,5,6,8,10,14],[1,3,8,11,12,13,14],[1,4,5,7,10,11,12],[1,4,6,9,10,11,14],[1,5,6,7,10,12,13],[1,6,7,8,9,12,14],[1,7,8,9,10,11,13],[2,3,6,10,12,13,14],[2,3,7,9,10,11,12],[2,4,6,7,8,11,13],[2,4,7,8,10,12,14],[2,5,6,8,9,11,12],[2,5,6,9,10,11,14],[2,5,7,8,10,13,14],[3,4,5,7,8,9,14],[3,4,5,9,10,12,13],[3,4,6,7,11,12,14],[3,4,6,8,10,11,13],[3,5,7,9,11,13,14],[4,5,6,8,9,12,13]]; G[10584]:=Group([(1,14)(3,10)(4,13)(6,8)(9,12)]); # Design 10585: autom. group order 2, simple B[10585]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,5,10,13,14],[1,2,4,7,9,12,14],[1,3,5,6,7,13,14],[1,3,8,9,10,12,14],[1,4,5,9,11,12,13],[1,4,6,7,8,10,11],[1,5,6,10,11,12,14],[1,6,7,8,10,12,13],[1,7,8,9,11,13,14],[2,3,6,10,11,12,14],[2,3,7,8,11,13,14],[2,4,6,8,12,13,14],[2,4,7,10,11,12,13],[2,5,6,7,8,9,10],[2,5,6,8,9,12,13],[2,5,7,9,10,11,14],[3,4,5,7,8,12,14],[3,4,5,8,10,11,13],[3,4,6,7,9,11,12],[3,4,6,9,10,13,14],[3,5,7,9,10,12,13],[4,5,6,8,9,11,14]]; G[10585]:=Group([(5,9)(6,8)(7,10)(12,13)]); # Design 10586: autom. group order 2, simple B[10586]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,5,10,13,14],[1,2,4,7,9,12,14],[1,3,5,6,7,13,14],[1,3,8,9,10,12,14],[1,4,5,8,10,11,13],[1,4,6,7,9,11,12],[1,5,6,10,11,12,14],[1,6,7,8,10,12,13],[1,7,8,9,11,13,14],[2,3,6,10,11,12,14],[2,3,7,8,11,13,14],[2,4,6,8,12,13,14],[2,4,7,10,11,12,13],[2,5,6,7,8,9,10],[2,5,6,8,9,12,13],[2,5,7,9,10,11,14],[3,4,5,7,8,12,14],[3,4,5,9,11,12,13],[3,4,6,7,8,10,11],[3,4,6,9,10,13,14],[3,5,7,9,10,12,13],[4,5,6,8,9,11,14]]; G[10586]:=Group([(5,9)(6,8)(7,10)(12,13)]); # Design 10587: autom. group order 2, simple B[10587]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,5,10,13,14],[1,2,4,7,9,12,14],[1,3,5,6,7,13,14],[1,3,8,9,10,12,14],[1,4,5,8,10,11,13],[1,4,6,7,9,11,12],[1,5,6,10,11,12,14],[1,6,7,8,10,12,13],[1,7,8,9,11,13,14],[2,3,6,8,12,13,14],[2,3,7,10,11,12,13],[2,4,6,10,11,12,14],[2,4,7,8,11,13,14],[2,5,6,7,8,9,10],[2,5,6,8,9,11,14],[2,5,7,9,10,12,13],[3,4,5,7,8,11,12],[3,4,5,9,12,13,14],[3,4,6,7,8,10,14],[3,4,6,9,10,11,13],[3,5,7,9,10,11,14],[4,5,6,8,9,12,13]]; G[10587]:=Group([(5,9)(6,8)(7,10)(12,13)]); # Design 10588: autom. group order 2, simple B[10588]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,5,10,13,14],[1,2,4,7,9,12,14],[1,3,5,6,10,12,14],[1,3,7,8,9,13,14],[1,4,5,9,11,12,13],[1,4,6,7,8,10,11],[1,5,6,7,11,13,14],[1,6,7,8,10,12,13],[1,8,9,10,11,12,14],[2,3,6,10,11,12,14],[2,3,7,8,11,13,14],[2,4,6,8,12,13,14],[2,4,7,10,11,12,13],[2,5,6,7,8,9,10],[2,5,6,8,9,12,13],[2,5,7,9,10,11,14],[3,4,5,7,8,12,14],[3,4,5,8,10,11,13],[3,4,6,7,9,11,12],[3,4,6,9,10,13,14],[3,5,7,9,10,12,13],[4,5,6,8,9,11,14]]; G[10588]:=Group([(5,9)(6,8)(7,10)(12,13)]); # Design 10589: autom. group order 2, simple B[10589]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,5,10,13,14],[1,2,4,7,9,12,14],[1,3,5,6,10,12,14],[1,3,7,8,9,13,14],[1,4,5,8,10,11,13],[1,4,6,7,9,11,12],[1,5,6,7,11,13,14],[1,6,7,8,10,12,13],[1,8,9,10,11,12,14],[2,3,6,8,12,13,14],[2,3,7,10,11,12,13],[2,4,6,10,11,12,14],[2,4,7,8,11,13,14],[2,5,6,7,8,9,10],[2,5,6,8,9,11,14],[2,5,7,9,10,12,13],[3,4,5,7,8,11,12],[3,4,5,9,12,13,14],[3,4,6,7,8,10,14],[3,4,6,9,10,11,13],[3,5,7,9,10,11,14],[4,5,6,8,9,12,13]]; G[10589]:=Group([(5,9)(6,8)(7,10)(12,13)]); # Design 10590: autom. group order 2, simple B[10590]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,7,8,11],[1,2,4,5,9,10,14],[1,2,4,8,12,13,14],[1,3,5,6,9,12,14],[1,3,7,10,11,13,14],[1,4,5,7,9,11,13],[1,4,6,10,11,12,13],[1,5,7,8,10,12,14],[1,6,7,8,9,12,13],[1,6,8,9,10,11,14],[2,3,6,10,12,13,14],[2,3,7,8,9,13,14],[2,4,6,9,11,13,14],[2,4,7,8,10,11,12],[2,5,6,7,10,11,14],[2,5,6,8,9,11,12],[2,5,7,9,10,12,13],[3,4,5,6,8,10,13],[3,4,5,8,11,12,14],[3,4,6,7,9,10,12],[3,4,7,9,11,12,14],[3,5,8,9,10,11,13],[4,5,6,7,8,13,14]]; G[10590]:=Group([(1,2)(3,4)(5,8)(6,10)(7,9)(11,14)]); # Design 10591: autom. group order 2, simple B[10591]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,5,10,13,14],[1,2,4,7,9,12,14],[1,3,5,6,7,8,14],[1,3,7,10,11,12,14],[1,4,5,8,11,12,13],[1,4,6,10,12,13,14],[1,5,7,9,10,11,13],[1,6,7,8,9,12,13],[1,6,8,9,10,11,14],[2,3,6,10,11,12,13],[2,3,7,9,12,13,14],[2,4,6,8,11,12,14],[2,4,7,8,9,10,11],[2,5,6,7,10,11,14],[2,5,6,8,9,13,14],[2,5,7,8,10,12,13],[3,4,5,6,9,10,12],[3,4,5,9,11,13,14],[3,4,6,7,8,10,13],[3,4,7,8,11,13,14],[3,5,8,9,10,12,14],[4,5,6,7,9,11,12]]; G[10591]:=Group([(1,2)(3,4)(5,9)(6,10)(7,8)(11,14)]); # Design 10592: autom. group order 2, simple B[10592]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,5,10,13,14],[1,2,4,7,9,12,14],[1,3,5,6,10,12,14],[1,3,7,9,10,11,12],[1,4,5,7,8,11,13],[1,4,6,8,9,13,14],[1,5,9,11,12,13,14],[1,6,7,8,10,11,14],[1,6,7,8,10,12,13],[2,3,6,8,12,13,14],[2,3,7,8,11,13,14],[2,4,6,10,11,12,14],[2,4,7,10,11,12,13],[2,5,6,7,8,9,10],[2,5,6,9,10,11,13],[2,5,7,8,9,12,14],[3,4,5,6,7,11,14],[3,4,5,8,10,12,13],[3,4,6,7,9,12,13],[3,4,8,9,10,11,14],[3,5,7,9,10,13,14],[4,5,6,8,9,11,12]]; G[10592]:=Group([(3,4)(6,7)(8,10)(11,14)(12,13)]); # Design 10593: autom. group order 2, simple B[10593]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,5,10,13,14],[1,2,4,7,9,12,14],[1,3,5,6,10,12,14],[1,3,7,9,10,13,14],[1,4,5,7,8,11,13],[1,4,6,8,9,11,12],[1,5,9,11,12,13,14],[1,6,7,8,10,11,14],[1,6,7,8,10,12,13],[2,3,6,8,12,13,14],[2,3,7,8,11,13,14],[2,4,6,10,11,12,14],[2,4,7,10,11,12,13],[2,5,6,7,8,9,10],[2,5,6,9,10,11,13],[2,5,7,8,9,12,14],[3,4,5,6,7,12,13],[3,4,5,8,10,11,14],[3,4,6,7,9,11,14],[3,4,8,9,10,12,13],[3,5,7,9,10,11,12],[4,5,6,8,9,13,14]]; G[10593]:=Group([(3,4)(6,7)(8,10)(11,14)(12,13)]); # Design 10594: autom. group order 2, simple B[10594]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,7,9,13],[1,2,4,5,11,13,14],[1,2,4,9,12,13,14],[1,3,5,6,10,11,14],[1,3,8,11,12,13,14],[1,4,5,7,8,10,12],[1,4,7,9,10,11,14],[1,5,6,8,9,10,13],[1,6,7,8,9,12,14],[1,6,7,10,11,12,13],[2,3,6,9,10,11,12],[2,3,7,10,12,13,14],[2,4,6,7,8,11,13],[2,4,6,8,10,12,14],[2,5,6,8,10,13,14],[2,5,7,8,9,11,12],[2,5,7,9,10,11,14],[3,4,5,6,7,12,14],[3,4,5,9,10,12,13],[3,4,6,8,9,11,14],[3,4,7,8,10,11,13],[3,5,7,8,9,13,14],[4,5,6,9,11,12,13]]; G[10594]:=Group([(1,14)(3,10)(4,13)(7,8)(9,12)]); # Design 10595: autom. group order 2, simple, residual B[10595]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,4,5,9,12,14],[1,2,4,7,10,13,14],[1,3,5,9,10,11,14],[1,3,6,7,8,10,12],[1,4,5,6,8,12,13],[1,4,7,8,9,11,12],[1,5,7,9,10,11,13],[1,6,7,8,9,13,14],[1,6,10,11,12,13,14],[2,3,6,9,12,13,14],[2,3,7,8,9,11,13],[2,4,6,7,10,11,14],[2,4,8,10,11,12,13],[2,5,6,7,9,10,12],[2,5,6,8,9,10,13],[2,5,7,8,11,12,14],[3,4,5,6,7,11,13],[3,4,5,8,10,13,14],[3,4,6,9,10,11,12],[3,4,7,9,12,13,14],[3,5,7,8,10,12,14],[4,5,6,8,9,11,14]]; G[10595]:=Group([(1,11)(2,6)(3,14)(5,10)]); # Design 10596: autom. group order 2, simple, residual B[10596]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,11,13,14],[1,2,4,5,9,13,14],[1,2,4,7,10,12,13],[1,3,5,9,10,11,13],[1,3,6,7,8,10,14],[1,4,5,6,8,12,14],[1,4,7,8,9,11,14],[1,5,7,9,10,11,12],[1,6,7,9,12,13,14],[1,6,8,10,11,12,13],[2,3,6,8,9,12,13],[2,3,7,9,11,12,14],[2,4,6,7,10,11,13],[2,4,8,10,11,12,14],[2,5,6,7,8,9,10],[2,5,6,9,10,12,14],[2,5,7,8,11,13,14],[3,4,5,6,7,11,12],[3,4,5,10,12,13,14],[3,4,6,9,10,11,14],[3,4,7,8,9,12,13],[3,5,7,8,10,13,14],[4,5,6,8,9,11,13]]; G[10596]:=Group([(1,11)(2,6)(3,13)(5,10)]); # Design 10597: autom. group order 2, simple, residual B[10597]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,5,8,13,14],[1,2,4,7,10,12,13],[1,3,5,10,11,13,14],[1,3,6,7,9,10,14],[1,4,5,6,9,12,14],[1,4,7,8,9,11,14],[1,5,7,9,10,11,12],[1,6,7,8,12,13,14],[1,6,8,10,11,12,13],[2,3,6,9,12,13,14],[2,3,7,8,11,12,14],[2,4,6,7,10,11,13],[2,4,9,10,11,12,14],[2,5,6,7,8,10,14],[2,5,6,8,9,10,12],[2,5,7,9,11,13,14],[3,4,5,6,7,11,12],[3,4,5,10,12,13,14],[3,4,6,8,10,11,14],[3,4,7,8,9,12,13],[3,5,7,8,9,10,13],[4,5,6,8,9,11,13]]; G[10597]:=Group([(1,11)(2,6)(3,13)(5,10)]); # Design 10598: autom. group order 2, simple, residual B[10598]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,11,13,14],[1,2,4,5,9,13,14],[1,2,4,7,11,12,13],[1,3,5,8,10,12,13],[1,3,6,7,9,12,14],[1,4,5,9,10,11,14],[1,4,6,7,8,12,14],[1,5,6,7,8,9,10],[1,6,9,10,11,12,13],[1,7,8,10,11,13,14],[2,3,6,8,10,11,14],[2,3,7,9,10,12,14],[2,4,6,7,8,10,13],[2,4,6,9,10,11,12],[2,5,6,8,9,12,13],[2,5,7,8,9,11,14],[2,5,7,10,12,13,14],[3,4,5,6,10,13,14],[3,4,5,7,10,11,12],[3,4,7,8,9,11,13],[3,4,8,9,12,13,14],[3,5,6,7,9,11,13],[4,5,6,8,11,12,14]]; G[10598]:=Group([(2,10)(3,9)(4,8)(12,14)]); # Design 10599: autom. group order 2, simple, residual B[10599]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,13,14],[1,2,4,5,10,11,13],[1,2,4,7,9,12,14],[1,3,5,7,10,13,14],[1,3,6,7,8,10,11],[1,4,5,8,12,13,14],[1,4,6,8,9,11,12],[1,5,6,7,11,12,14],[1,6,7,9,10,12,13],[1,8,9,10,11,13,14],[2,3,6,8,12,13,14],[2,3,7,9,11,12,13],[2,4,6,7,8,10,14],[2,4,7,10,11,12,13],[2,5,6,8,10,12,13],[2,5,6,9,10,11,14],[2,5,7,8,9,11,14],[3,4,5,6,9,11,13],[3,4,5,9,10,12,14],[3,4,6,10,11,12,14],[3,4,7,8,11,13,14],[3,5,7,8,9,10,12],[4,5,6,7,8,9,13]]; G[10599]:=Group([(2,13)(3,10)(4,14)(5,9)(6,11)(7,8)]); # Design 10600: autom. group order 2, simple, residual B[10600]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,5,8,13,14],[1,2,4,10,11,12,14],[1,3,5,7,9,12,14],[1,3,6,7,10,12,13],[1,4,5,7,9,10,13],[1,4,6,7,8,11,14],[1,5,6,10,11,13,14],[1,6,8,9,12,13,14],[1,7,8,9,10,11,12],[2,3,6,9,10,11,14],[2,3,7,8,12,13,14],[2,4,6,7,9,12,14],[2,4,7,10,11,12,13],[2,5,6,7,8,9,10],[2,5,6,8,10,12,13],[2,5,7,9,11,13,14],[3,4,5,6,10,12,14],[3,4,5,9,11,12,13],[3,4,6,7,8,11,13],[3,4,8,9,10,13,14],[3,5,7,8,10,11,14],[4,5,6,8,9,11,12]]; G[10600]:=Group([(1,14)(2,10)(4,11)(6,8)]); # Design 10601: autom. group order 2, simple B[10601]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,4,5,9,12,14],[1,2,4,7,10,12,13],[1,3,5,7,10,11,14],[1,3,7,8,12,13,14],[1,4,5,6,8,9,11],[1,4,6,8,10,13,14],[1,5,6,9,10,12,13],[1,6,7,9,11,13,14],[1,7,8,9,10,11,12],[2,3,6,7,8,9,12],[2,3,6,9,10,13,14],[2,4,7,9,10,11,14],[2,4,8,11,12,13,14],[2,5,6,7,8,10,13],[2,5,6,10,11,12,14],[2,5,7,8,9,11,13],[3,4,5,7,9,13,14],[3,4,5,8,10,11,13],[3,4,6,7,10,11,12],[3,4,6,9,11,12,13],[3,5,8,9,10,12,14],[4,5,6,7,8,12,14]]; G[10601]:=Group([(1,14)(2,12)(3,8)(4,5)(6,7)(11,13)]); # Design 10602: autom. group order 2, simple, residual B[10602]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,9,11],[1,2,3,6,11,12,13],[1,2,4,5,8,12,14],[1,2,4,7,10,13,14],[1,3,5,7,9,12,13],[1,3,7,10,11,12,14],[1,4,5,6,10,11,13],[1,4,6,8,12,13,14],[1,5,6,9,10,11,14],[1,6,7,8,9,10,12],[1,7,8,9,11,13,14],[2,3,6,9,12,13,14],[2,3,8,10,11,13,14],[2,4,6,7,9,11,13],[2,4,7,9,10,11,12],[2,5,6,7,8,11,14],[2,5,6,9,10,12,14],[2,5,7,8,10,12,13],[3,4,5,7,11,12,14],[3,4,5,9,10,13,14],[3,4,6,7,8,9,14],[3,4,6,8,10,11,12],[3,5,6,7,8,10,13],[4,5,8,9,11,12,13]]; G[10602]:=Group([(1,11)(2,12)(5,10)(7,8)(9,14)]); # Design 10603: autom. group order 2, simple B[10603]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,5,8,10,14],[1,2,4,7,12,13,14],[1,3,5,7,9,13,14],[1,3,7,8,11,12,13],[1,4,5,6,10,12,13],[1,4,6,9,11,12,14],[1,5,9,10,11,13,14],[1,6,7,8,9,10,12],[1,6,7,8,10,11,14],[2,3,6,7,10,13,14],[2,3,6,9,10,12,14],[2,4,7,10,11,12,13],[2,4,8,9,11,13,14],[2,5,6,7,8,11,14],[2,5,6,8,9,12,13],[2,5,7,9,10,11,12],[3,4,5,6,11,12,14],[3,4,5,7,9,10,11],[3,4,6,8,10,11,13],[3,4,7,8,9,12,14],[3,5,8,10,12,13,14],[4,5,6,7,8,9,13]]; G[10603]:=Group([(1,14)(2,12)(5,9)(6,8)(10,11)]); # Design 10604: autom. group order 2, simple B[10604]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,12],[1,2,4,5,10,13,14],[1,2,4,7,9,13,14],[1,3,5,7,10,11,13],[1,3,7,9,10,12,14],[1,4,5,6,8,12,14],[1,4,6,8,9,11,13],[1,5,9,11,12,13,14],[1,6,7,8,10,11,14],[1,6,7,8,10,12,13],[2,3,6,10,11,13,14],[2,3,7,8,12,13,14],[2,4,6,10,11,12,13],[2,4,7,8,11,12,14],[2,5,6,7,8,9,10],[2,5,6,9,10,12,14],[2,5,7,8,9,11,13],[3,4,5,6,7,11,14],[3,4,5,8,10,12,13],[3,4,6,7,9,12,13],[3,4,8,9,10,11,14],[3,5,6,8,9,13,14],[4,5,7,9,10,11,12]]; G[10604]:=Group([(3,4)(6,7)(8,10)(11,14)(12,13)]); # Design 10605: autom. group order 2, simple B[10605]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,12],[1,2,4,5,10,13,14],[1,2,4,7,9,13,14],[1,3,5,7,10,11,13],[1,3,7,9,10,12,14],[1,4,5,6,8,12,14],[1,4,6,8,9,11,13],[1,5,9,11,12,13,14],[1,6,7,8,10,11,14],[1,6,7,8,10,12,13],[2,3,6,10,12,13,14],[2,3,7,8,11,13,14],[2,4,6,10,11,12,14],[2,4,7,8,11,12,13],[2,5,6,7,8,9,10],[2,5,6,9,10,11,13],[2,5,7,8,9,12,14],[3,4,5,6,7,11,14],[3,4,5,8,10,12,13],[3,4,6,7,9,12,13],[3,4,8,9,10,11,14],[3,5,6,8,9,13,14],[4,5,7,9,10,11,12]]; G[10605]:=Group([(3,4)(6,7)(8,10)(11,14)(12,13)]); # Design 10606: autom. group order 2, simple, residual B[10606]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,7,8,11,13],[1,2,4,5,9,13,14],[1,2,4,6,10,12,14],[1,3,5,8,10,12,14],[1,3,7,9,10,11,14],[1,4,6,9,11,12,13],[1,4,7,8,9,11,12],[1,5,6,8,11,13,14],[1,5,7,8,10,12,13],[1,6,7,9,10,13,14],[2,3,6,8,9,13,14],[2,3,9,10,11,12,13],[2,4,5,7,10,11,13],[2,4,7,8,12,13,14],[2,5,6,7,8,9,10],[2,5,8,9,11,12,14],[2,6,7,10,11,12,14],[3,4,5,7,9,12,14],[3,4,5,10,11,13,14],[3,4,6,7,8,11,14],[3,4,6,8,10,12,13],[3,5,6,7,9,12,13],[4,5,6,8,9,10,11]]; G[10606]:=Group([(1,12)(3,14)(4,11)(5,10)]); # Design 10607: autom. group order 2, simple, residual B[10607]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,12,13,14],[1,2,4,5,10,12,13],[1,2,4,6,11,12,14],[1,3,5,7,8,10,14],[1,3,7,9,10,11,12],[1,4,6,7,9,10,13],[1,4,8,9,11,13,14],[1,5,6,10,11,13,14],[1,5,7,8,12,13,14],[1,6,7,8,9,11,12],[2,3,6,8,9,13,14],[2,3,7,10,11,13,14],[2,4,5,7,9,11,13],[2,4,7,8,10,12,14],[2,5,6,7,9,12,14],[2,5,8,9,10,11,12],[2,6,7,8,10,11,13],[3,4,5,7,9,11,14],[3,4,5,8,11,12,13],[3,4,6,7,8,12,13],[3,4,6,10,11,12,14],[3,5,6,9,10,12,13],[4,5,6,8,9,10,14]]; G[10607]:=Group([(1,12)(2,13)(4,5)(6,8)(7,11)]); # Design 10608: autom. group order 2, simple B[10608]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,12,13],[1,2,4,5,9,13,14],[1,2,4,7,10,11,14],[1,3,5,6,8,10,14],[1,3,7,9,10,12,13],[1,4,6,7,9,11,12],[1,4,6,8,9,13,14],[1,5,7,8,9,10,11],[1,5,10,11,12,13,14],[1,6,7,8,12,13,14],[2,3,6,9,11,13,14],[2,3,7,8,9,12,14],[2,4,5,7,8,12,13],[2,4,8,10,11,12,14],[2,5,6,7,8,10,13],[2,5,6,9,10,12,14],[2,6,7,9,10,11,13],[3,4,5,7,11,13,14],[3,4,5,9,10,12,13],[3,4,6,7,10,12,14],[3,4,6,8,10,11,13],[3,5,7,8,9,11,14],[4,5,6,8,9,11,12]]; G[10608]:=Group([(2,13)(3,14)(4,12)(5,8)(9,11)]); # Design 10609: autom. group order 2, simple, residual B[10609]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,11,12,13,14],[1,2,4,5,8,13,14],[1,2,4,9,10,11,13],[1,3,5,6,9,10,14],[1,3,7,8,9,12,14],[1,4,6,7,8,12,13],[1,4,6,7,9,11,12],[1,5,7,8,9,10,11],[1,5,7,10,11,13,14],[1,6,8,10,12,13,14],[2,3,6,7,8,10,13],[2,3,7,9,10,12,13],[2,4,5,8,9,12,14],[2,4,7,10,11,12,14],[2,5,6,7,9,13,14],[2,5,6,8,10,11,12],[2,6,7,8,9,11,14],[3,4,5,7,8,11,13],[3,4,5,7,10,12,14],[3,4,6,8,10,11,14],[3,4,6,9,11,13,14],[3,5,8,9,11,12,13],[4,5,6,9,10,12,13]]; G[10609]:=Group([(1,6)(3,5)(4,7)(8,13)(10,14)]); # Design 10610: autom. group order 2, simple B[10610]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,11,12,13,14],[1,2,4,5,8,13,14],[1,2,4,9,10,11,13],[1,3,5,6,9,10,14],[1,3,7,8,9,11,14],[1,4,6,7,8,12,13],[1,4,6,7,10,11,14],[1,5,7,8,9,10,12],[1,5,7,9,11,12,13],[1,6,8,10,12,13,14],[2,3,6,7,8,10,13],[2,3,7,9,10,12,13],[2,4,5,8,9,12,14],[2,4,7,10,11,12,14],[2,5,6,7,9,13,14],[2,5,6,8,10,11,12],[2,6,7,8,9,11,14],[3,4,5,7,8,11,13],[3,4,5,7,10,12,14],[3,4,6,8,9,11,12],[3,4,6,9,12,13,14],[3,5,8,10,11,13,14],[4,5,6,9,10,11,13]]; G[10610]:=Group([(1,6)(3,5)(4,7)(8,13)(10,14)]); # Design 10611: autom. group order 2, simple B[10611]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,11,12,13,14],[1,2,4,5,8,13,14],[1,2,4,9,10,11,13],[1,3,5,6,9,10,14],[1,3,7,8,9,12,14],[1,4,6,7,8,12,13],[1,4,6,7,10,12,14],[1,5,7,8,9,10,11],[1,5,7,9,11,12,13],[1,6,8,10,11,13,14],[2,3,6,7,8,10,13],[2,3,7,9,10,12,13],[2,4,5,8,9,12,14],[2,4,7,10,11,12,14],[2,5,6,7,9,13,14],[2,5,6,8,10,11,12],[2,6,7,8,9,11,14],[3,4,5,7,8,11,13],[3,4,5,7,10,11,14],[3,4,6,8,9,11,12],[3,4,6,9,11,13,14],[3,5,8,10,12,13,14],[4,5,6,9,10,12,13]]; G[10611]:=Group([(1,6)(3,5)(4,7)(8,13)(10,14)]); # Design 10612: autom. group order 2, simple B[10612]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,11,12,13,14],[1,2,4,5,8,13,14],[1,2,4,9,10,11,13],[1,3,5,6,9,10,14],[1,3,7,8,9,12,14],[1,4,6,7,8,12,13],[1,4,6,7,10,12,14],[1,5,7,8,9,10,11],[1,5,7,10,11,13,14],[1,6,8,9,11,12,13],[2,3,6,7,8,10,13],[2,3,7,9,10,12,13],[2,4,5,8,9,12,14],[2,4,7,10,11,12,14],[2,5,6,7,9,13,14],[2,5,6,8,10,11,12],[2,6,7,8,9,11,14],[3,4,5,7,8,11,13],[3,4,5,7,9,11,12],[3,4,6,8,10,11,14],[3,4,6,9,11,13,14],[3,5,8,10,12,13,14],[4,5,6,9,10,12,13]]; G[10612]:=Group([(1,6)(3,5)(4,7)(8,13)(10,14)]); # Design 10613: autom. group order 2, simple B[10613]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,13,14],[1,2,4,5,9,13,14],[1,2,4,10,11,12,13],[1,3,5,6,10,12,14],[1,3,7,8,9,11,14],[1,4,6,7,8,10,14],[1,4,6,7,9,12,13],[1,5,7,8,9,10,12],[1,5,7,10,11,13,14],[1,6,8,9,11,12,13],[2,3,6,7,9,10,13],[2,3,7,8,10,12,13],[2,4,5,8,9,12,14],[2,4,7,10,11,12,14],[2,5,6,7,8,13,14],[2,5,6,8,9,10,11],[2,6,7,9,11,12,14],[3,4,5,7,8,11,12],[3,4,5,7,9,11,13],[3,4,6,8,12,13,14],[3,4,6,9,10,11,14],[3,5,9,10,12,13,14],[4,5,6,8,10,11,13]]; G[10613]:=Group([(1,6)(3,5)(4,7)(9,13)(10,14)]); # Design 10614: autom. group order 2, simple B[10614]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,13,14],[1,2,4,5,9,13,14],[1,2,4,10,11,12,13],[1,3,5,6,10,12,14],[1,3,7,8,9,12,14],[1,4,6,7,8,10,14],[1,4,6,7,9,12,13],[1,5,7,8,9,10,11],[1,5,7,10,11,13,14],[1,6,8,9,11,12,13],[2,3,6,7,9,10,13],[2,3,7,8,10,12,13],[2,4,5,8,9,12,14],[2,4,7,10,11,12,14],[2,5,6,7,8,13,14],[2,5,6,8,9,10,11],[2,6,7,9,11,12,14],[3,4,5,7,8,11,12],[3,4,5,7,9,11,13],[3,4,6,8,11,13,14],[3,4,6,9,10,11,14],[3,5,9,10,12,13,14],[4,5,6,8,10,12,13]]; G[10614]:=Group([(1,6)(3,5)(4,7)(9,13)(10,14)]); # Design 10615: autom. group order 2, simple B[10615]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,13,14],[1,2,4,5,9,13,14],[1,2,4,10,11,12,13],[1,3,5,6,10,12,14],[1,3,7,8,9,11,14],[1,4,6,7,8,10,14],[1,4,6,7,9,12,13],[1,5,7,8,9,10,12],[1,5,7,8,11,12,13],[1,6,9,10,11,13,14],[2,3,6,7,9,10,13],[2,3,7,8,10,12,13],[2,4,5,8,9,12,14],[2,4,7,10,11,12,14],[2,5,6,7,8,13,14],[2,5,6,8,9,10,11],[2,6,7,9,11,12,14],[3,4,5,7,9,11,13],[3,4,5,7,10,11,14],[3,4,6,8,9,11,12],[3,4,6,8,12,13,14],[3,5,9,10,12,13,14],[4,5,6,8,10,11,13]]; G[10615]:=Group([(1,6)(3,5)(4,7)(9,13)(10,14)]); # Design 10616: autom. group order 2, simple B[10616]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,13,14],[1,2,4,5,9,13,14],[1,2,4,10,11,12,13],[1,3,5,6,10,12,14],[1,3,7,8,9,12,14],[1,4,6,7,8,10,14],[1,4,6,7,9,12,13],[1,5,7,8,9,10,11],[1,5,7,8,11,12,13],[1,6,9,10,11,13,14],[2,3,6,7,9,10,13],[2,3,7,8,10,12,13],[2,4,5,8,9,12,14],[2,4,7,10,11,12,14],[2,5,6,7,8,13,14],[2,5,6,8,9,10,11],[2,6,7,9,11,12,14],[3,4,5,7,9,11,13],[3,4,5,7,10,11,14],[3,4,6,8,9,11,12],[3,4,6,8,11,13,14],[3,5,9,10,12,13,14],[4,5,6,8,10,12,13]]; G[10616]:=Group([(1,6)(3,5)(4,7)(9,13)(10,14)]); # Design 10617: autom. group order 2, simple, residual B[10617]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,13,14],[1,2,4,5,9,12,13],[1,2,4,10,11,13,14],[1,3,5,6,9,10,14],[1,3,7,8,9,11,14],[1,4,6,7,8,10,13],[1,4,6,7,8,11,12],[1,5,7,8,9,12,13],[1,5,7,10,11,12,14],[1,6,9,10,12,13,14],[2,3,6,7,12,13,14],[2,3,7,8,9,10,12],[2,4,5,8,10,12,14],[2,4,7,9,11,12,14],[2,5,6,7,8,10,14],[2,5,6,8,9,11,13],[2,6,7,9,10,11,13],[3,4,5,7,9,13,14],[3,4,5,7,10,11,13],[3,4,6,8,12,13,14],[3,4,6,9,10,11,12],[3,5,8,10,11,12,13],[4,5,6,8,9,11,14]]; G[10617]:=Group([(1,6)(3,5)(4,7)(9,14)]); # Design 10618: autom. group order 2, simple, residual B[10618]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,13,14],[1,2,4,5,9,12,13],[1,2,4,10,11,13,14],[1,3,5,6,9,10,14],[1,3,7,8,9,11,14],[1,4,6,7,8,10,13],[1,4,6,7,8,11,12],[1,5,7,8,12,13,14],[1,5,7,9,10,11,12],[1,6,9,10,12,13,14],[2,3,6,7,12,13,14],[2,3,7,8,9,10,12],[2,4,5,8,10,12,14],[2,4,7,9,11,12,14],[2,5,6,7,8,10,14],[2,5,6,8,9,11,13],[2,6,7,9,10,11,13],[3,4,5,7,9,13,14],[3,4,5,7,10,11,13],[3,4,6,8,9,12,13],[3,4,6,10,11,12,14],[3,5,8,10,11,12,13],[4,5,6,8,9,11,14]]; G[10618]:=Group([(1,6)(3,5)(4,7)(9,14)]); # Design 10619: autom. group order 2, simple, residual B[10619]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,13,14],[1,2,4,5,9,12,13],[1,2,4,10,11,13,14],[1,3,5,6,9,10,14],[1,3,7,8,9,13,14],[1,4,6,7,8,10,11],[1,4,6,7,8,12,13],[1,5,7,8,11,12,14],[1,5,7,9,10,12,13],[1,6,9,10,11,12,14],[2,3,6,7,12,13,14],[2,3,7,8,9,10,12],[2,4,5,8,10,12,14],[2,4,7,9,11,12,14],[2,5,6,7,8,10,14],[2,5,6,8,9,11,13],[2,6,7,9,10,11,13],[3,4,5,7,9,11,14],[3,4,5,7,10,11,13],[3,4,6,8,9,11,12],[3,4,6,10,12,13,14],[3,5,8,10,11,12,13],[4,5,6,8,9,13,14]]; G[10619]:=Group([(1,6)(3,5)(4,7)(9,14)]); # Design 10620: autom. group order 2, simple, residual B[10620]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,11,13],[1,2,4,5,11,13,14],[1,2,4,10,12,13,14],[1,3,5,6,8,10,14],[1,3,7,9,12,13,14],[1,4,6,7,9,10,13],[1,4,6,7,9,11,12],[1,5,7,8,9,11,14],[1,5,7,8,10,12,13],[1,6,8,10,11,12,14],[2,3,6,7,8,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,10,12],[2,4,7,8,11,12,14],[2,5,6,7,9,10,14],[2,5,6,9,12,13,14],[2,6,7,8,10,11,13],[3,4,5,7,8,13,14],[3,4,5,7,10,11,12],[3,4,6,8,9,12,14],[3,4,6,10,11,13,14],[3,5,9,10,11,12,13],[4,5,6,8,9,11,13]]; G[10620]:=Group([(1,6)(3,5)(4,7)(8,14)(11,12)]); # Design 10621: autom. group order 2, simple B[10621]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,11,13],[1,2,4,5,10,13,14],[1,2,4,11,12,13,14],[1,3,5,6,8,12,14],[1,3,7,9,10,12,14],[1,4,6,7,8,9,14],[1,4,6,7,10,11,13],[1,5,7,8,9,11,13],[1,5,7,9,10,11,12],[1,6,8,10,12,13,14],[2,3,6,7,8,10,13],[2,3,7,9,12,13,14],[2,4,5,8,9,10,12],[2,4,7,8,11,12,14],[2,5,6,7,9,13,14],[2,5,6,9,10,11,14],[2,6,7,8,10,11,12],[3,4,5,7,8,11,14],[3,4,5,7,10,12,13],[3,4,6,9,10,11,14],[3,4,6,9,11,12,13],[3,5,8,10,11,13,14],[4,5,6,8,9,12,13]]; G[10621]:=Group([(1,6)(3,5)(4,7)(8,14)(10,13)]); # Design 10622: autom. group order 2, simple, residual B[10622]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,13,14],[1,2,4,5,9,12,13],[1,2,4,8,10,12,14],[1,3,5,6,9,10,14],[1,3,7,8,9,11,14],[1,4,6,7,9,13,14],[1,4,6,7,10,11,13],[1,5,7,8,12,13,14],[1,5,7,9,10,11,12],[1,6,8,10,11,12,13],[2,3,6,7,12,13,14],[2,3,7,9,10,11,13],[2,4,5,10,11,13,14],[2,4,7,9,11,12,14],[2,5,6,7,8,10,14],[2,5,6,8,9,11,13],[2,6,7,8,9,10,12],[3,4,5,7,8,10,13],[3,4,5,7,8,11,12],[3,4,6,8,9,12,13],[3,4,6,10,11,12,14],[3,5,9,10,12,13,14],[4,5,6,8,9,11,14]]; G[10622]:=Group([(1,6)(3,5)(4,7)(9,14)]); # Design 10623: autom. group order 2, simple, residual B[10623]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,13,14],[1,2,4,5,9,12,13],[1,2,4,8,10,12,14],[1,3,5,6,9,10,14],[1,3,7,8,9,13,14],[1,4,6,7,9,11,14],[1,4,6,7,10,11,13],[1,5,7,8,11,12,14],[1,5,7,9,10,12,13],[1,6,8,10,11,12,13],[2,3,6,7,12,13,14],[2,3,7,9,10,11,13],[2,4,5,10,11,13,14],[2,4,7,9,11,12,14],[2,5,6,7,8,10,14],[2,5,6,8,9,11,13],[2,6,7,8,9,10,12],[3,4,5,7,8,10,11],[3,4,5,7,8,12,13],[3,4,6,8,9,11,12],[3,4,6,10,12,13,14],[3,5,9,10,11,12,14],[4,5,6,8,9,13,14]]; G[10623]:=Group([(1,6)(3,5)(4,7)(9,14)]); # Design 10624: autom. group order 2, simple, residual B[10624]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,13,14],[1,2,4,5,12,13,14],[1,2,4,8,9,10,12],[1,3,5,6,9,10,13],[1,3,7,8,11,12,13],[1,4,6,7,9,11,13],[1,4,6,7,10,11,14],[1,5,7,8,9,13,14],[1,5,7,9,10,12,14],[1,6,8,10,11,12,14],[2,3,6,7,9,12,14],[2,3,7,9,10,11,14],[2,4,5,10,11,13,14],[2,4,7,9,11,12,13],[2,5,6,7,8,10,13],[2,5,6,8,9,11,14],[2,6,7,8,10,12,13],[3,4,5,7,8,10,11],[3,4,5,7,8,12,14],[3,4,6,8,9,13,14],[3,4,6,10,12,13,14],[3,5,9,10,11,12,13],[4,5,6,8,9,11,12]]; G[10624]:=Group([(1,6)(3,5)(4,7)(9,13)]); # Design 10625: autom. group order 2, simple, residual B[10625]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,13,14],[1,2,4,5,12,13,14],[1,2,4,8,9,10,12],[1,3,5,6,9,10,13],[1,3,7,8,12,13,14],[1,4,6,7,9,13,14],[1,4,6,7,10,11,14],[1,5,7,8,9,11,13],[1,5,7,9,10,11,12],[1,6,8,10,11,12,14],[2,3,6,7,9,12,14],[2,3,7,9,10,11,14],[2,4,5,10,11,13,14],[2,4,7,9,11,12,13],[2,5,6,7,8,10,13],[2,5,6,8,9,11,14],[2,6,7,8,10,12,13],[3,4,5,7,8,10,14],[3,4,5,7,8,11,12],[3,4,6,8,9,11,13],[3,4,6,10,11,12,13],[3,5,9,10,12,13,14],[4,5,6,8,9,12,14]]; G[10625]:=Group([(1,6)(3,5)(4,7)(9,13)]); # Design 10626: autom. group order 2, simple B[10626]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,13,14],[1,2,4,5,9,13,14],[1,2,4,8,10,12,13],[1,3,5,6,10,12,14],[1,3,7,8,9,11,14],[1,4,6,7,9,12,13],[1,4,6,7,10,11,14],[1,5,7,8,9,10,12],[1,5,7,8,11,12,13],[1,6,9,10,11,13,14],[2,3,6,7,9,10,13],[2,3,7,10,11,12,13],[2,4,5,9,11,12,14],[2,4,7,10,11,12,14],[2,5,6,7,8,13,14],[2,5,6,8,9,10,11],[2,6,7,8,9,12,14],[3,4,5,7,8,10,14],[3,4,5,7,9,11,13],[3,4,6,8,9,11,12],[3,4,6,8,12,13,14],[3,5,9,10,12,13,14],[4,5,6,8,10,11,13]]; G[10626]:=Group([(1,6)(3,5)(4,7)(9,13)(10,14)]); # Design 10627: autom. group order 2, simple B[10627]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,13,14],[1,2,4,5,9,13,14],[1,2,4,8,10,12,13],[1,3,5,6,10,12,14],[1,3,7,8,9,12,14],[1,4,6,7,9,12,13],[1,4,6,7,10,11,14],[1,5,7,8,9,10,11],[1,5,7,8,11,12,13],[1,6,9,10,11,13,14],[2,3,6,7,9,10,13],[2,3,7,10,11,12,13],[2,4,5,9,11,12,14],[2,4,7,10,11,12,14],[2,5,6,7,8,13,14],[2,5,6,8,9,10,11],[2,6,7,8,9,12,14],[3,4,5,7,8,10,14],[3,4,5,7,9,11,13],[3,4,6,8,9,11,12],[3,4,6,8,11,13,14],[3,5,9,10,12,13,14],[4,5,6,8,10,12,13]]; G[10627]:=Group([(1,6)(3,5)(4,7)(9,13)(10,14)]); # Design 10628: autom. group order 2, simple B[10628]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,11,12],[1,2,4,5,8,13,14],[1,2,4,10,11,13,14],[1,3,5,6,9,13,14],[1,3,7,10,11,13,14],[1,4,6,7,8,10,11],[1,4,6,7,9,12,13],[1,5,7,8,11,12,14],[1,5,7,9,10,12,14],[1,6,8,9,10,12,13],[2,3,6,7,9,10,14],[2,3,7,8,12,13,14],[2,4,5,9,10,12,14],[2,4,7,9,11,12,13],[2,5,6,7,8,10,13],[2,5,6,10,11,12,13],[2,6,7,8,9,11,14],[3,4,5,7,8,10,12],[3,4,5,7,9,11,13],[3,4,6,8,12,13,14],[3,4,6,10,11,12,14],[3,5,8,9,10,11,13],[4,5,6,8,9,11,14]]; G[10628]:=Group([(1,6)(3,5)(4,7)(8,10)(9,13)]); # Design 10629: autom. group order 2, simple B[10629]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,11,13],[1,2,4,5,8,13,14],[1,2,4,10,11,12,14],[1,3,5,6,9,12,14],[1,3,7,10,11,13,14],[1,4,6,7,8,10,11],[1,4,6,7,9,13,14],[1,5,7,8,11,12,13],[1,5,7,9,10,12,13],[1,6,8,9,10,12,14],[2,3,6,7,9,10,13],[2,3,7,8,12,13,14],[2,4,5,9,10,12,13],[2,4,7,9,11,12,14],[2,5,6,7,8,10,14],[2,5,6,10,11,13,14],[2,6,7,8,9,11,12],[3,4,5,7,8,10,12],[3,4,5,7,9,11,14],[3,4,6,8,12,13,14],[3,4,6,10,11,12,13],[3,5,8,9,10,11,14],[4,5,6,8,9,11,13]]; G[10629]:=Group([(1,6)(3,5)(4,7)(8,10)(9,14)]); # Design 10630: autom. group order 2, simple, residual B[10630]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,11,13],[1,2,4,5,8,12,14],[1,2,4,10,11,13,14],[1,3,5,6,9,13,14],[1,3,7,10,11,12,14],[1,4,6,7,8,10,13],[1,4,6,7,9,11,14],[1,5,7,8,11,12,13],[1,5,7,9,10,12,13],[1,6,8,9,10,12,14],[2,3,6,7,9,10,12],[2,3,7,8,12,13,14],[2,4,5,9,10,12,13],[2,4,7,9,11,12,14],[2,5,6,7,8,10,14],[2,5,6,10,11,13,14],[2,6,7,8,9,11,13],[3,4,5,7,8,10,11],[3,4,5,7,9,13,14],[3,4,6,8,12,13,14],[3,4,6,10,11,12,13],[3,5,8,9,10,11,14],[4,5,6,8,9,11,12]]; G[10630]:=Group([(1,6)(3,5)(4,7)(8,10)(9,14)]); # Design 10631: autom. group order 2, simple B[10631]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,11,12],[1,2,4,5,8,13,14],[1,2,4,10,11,13,14],[1,3,5,6,9,13,14],[1,3,7,10,12,13,14],[1,4,6,7,8,10,11],[1,4,6,7,9,12,13],[1,5,7,8,11,12,14],[1,5,7,9,10,11,14],[1,6,8,9,10,12,13],[2,3,6,7,9,10,14],[2,3,7,8,12,13,14],[2,4,5,9,10,12,14],[2,4,7,9,11,12,13],[2,5,6,7,8,10,13],[2,5,6,10,11,12,13],[2,6,7,8,9,11,14],[3,4,5,7,8,10,12],[3,4,5,7,9,11,13],[3,4,6,8,11,13,14],[3,4,6,10,11,12,14],[3,5,8,9,10,11,13],[4,5,6,8,9,12,14]]; G[10631]:=Group([(1,6)(3,5)(4,7)(8,10)(9,13)]); # Design 10632: autom. group order 2, simple B[10632]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,11,13],[1,2,4,5,8,13,14],[1,2,4,10,12,13,14],[1,3,5,6,9,12,14],[1,3,7,10,12,13,14],[1,4,6,7,8,10,12],[1,4,6,7,9,11,14],[1,5,7,8,11,12,13],[1,5,7,9,10,11,13],[1,6,8,9,10,11,14],[2,3,6,7,9,10,13],[2,3,7,8,11,12,14],[2,4,5,9,10,11,12],[2,4,7,9,11,12,14],[2,5,6,7,8,10,14],[2,5,6,10,11,13,14],[2,6,7,8,9,12,13],[3,4,5,7,8,10,11],[3,4,5,7,9,13,14],[3,4,6,8,11,13,14],[3,4,6,10,11,12,13],[3,5,8,9,10,12,14],[4,5,6,8,9,12,13]]; G[10632]:=Group([(1,6)(3,5)(4,7)(8,10)(9,14)]); # Design 10633: autom. group order 2, simple, residual B[10633]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,13,14],[1,2,4,5,8,9,12],[1,2,4,10,12,13,14],[1,3,5,6,9,13,14],[1,3,7,9,10,11,13],[1,4,6,7,8,10,11],[1,4,6,7,9,13,14],[1,5,7,8,11,12,13],[1,5,7,9,10,12,14],[1,6,8,10,11,12,14],[2,3,6,7,10,12,13],[2,3,7,8,9,11,14],[2,4,5,10,11,13,14],[2,4,7,9,11,12,13],[2,5,6,7,8,10,13],[2,5,6,9,10,11,14],[2,6,7,8,9,12,14],[3,4,5,7,8,10,14],[3,4,5,7,11,12,14],[3,4,6,8,12,13,14],[3,4,6,9,10,11,12],[3,5,8,9,10,12,13],[4,5,6,8,9,11,13]]; G[10633]:=Group([(1,6)(3,5)(4,7)(8,10)(9,13)]); # Design 10634: autom. group order 2, simple, residual B[10634]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,13,14],[1,2,4,5,8,9,12],[1,2,4,10,11,13,14],[1,3,5,6,9,13,14],[1,3,7,9,10,11,13],[1,4,6,7,8,10,14],[1,4,6,7,11,12,14],[1,5,7,8,12,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,12,13],[2,3,6,7,10,12,13],[2,3,7,8,9,12,14],[2,4,5,10,12,13,14],[2,4,7,9,11,12,13],[2,5,6,7,8,10,13],[2,5,6,9,10,11,14],[2,6,7,8,9,11,14],[3,4,5,7,8,10,11],[3,4,5,7,9,13,14],[3,4,6,8,11,12,13],[3,4,6,9,10,12,14],[3,5,8,10,11,12,14],[4,5,6,8,9,11,13]]; G[10634]:=Group([(1,6)(3,5)(4,7)(8,10)(9,13)]); # Design 10635: autom. group order 2, simple, residual B[10635]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,13,14],[1,2,4,5,8,9,12],[1,2,4,10,11,13,14],[1,3,5,6,9,13,14],[1,3,7,10,11,12,13],[1,4,6,7,8,10,11],[1,4,6,7,9,13,14],[1,5,7,8,11,12,14],[1,5,7,9,10,12,13],[1,6,8,9,10,12,14],[2,3,6,7,10,12,14],[2,3,7,8,9,12,13],[2,4,5,10,12,13,14],[2,4,7,9,11,12,14],[2,5,6,7,8,10,14],[2,5,6,9,10,11,13],[2,6,7,8,9,11,13],[3,4,5,7,8,10,13],[3,4,5,7,9,11,14],[3,4,6,8,12,13,14],[3,4,6,9,10,11,12],[3,5,8,9,10,11,14],[4,5,6,8,11,12,13]]; G[10635]:=Group([(1,6)(3,5)(4,7)(8,10)(9,14)]); # Design 10636: autom. group order 2, simple B[10636]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,13,14],[1,2,4,5,8,9,13],[1,2,4,10,11,12,14],[1,3,5,6,9,12,14],[1,3,7,10,11,12,13],[1,4,6,7,8,10,12],[1,4,6,7,9,13,14],[1,5,7,8,12,13,14],[1,5,7,9,10,11,13],[1,6,8,9,10,11,14],[2,3,6,7,10,13,14],[2,3,7,8,9,12,13],[2,4,5,10,12,13,14],[2,4,7,9,11,12,14],[2,5,6,7,8,10,14],[2,5,6,9,10,11,13],[2,6,7,8,9,11,12],[3,4,5,7,8,10,11],[3,4,5,7,9,11,14],[3,4,6,8,11,13,14],[3,4,6,9,10,12,13],[3,5,8,9,10,12,14],[4,5,6,8,11,12,13]]; G[10636]:=Group([(1,6)(3,5)(4,7)(8,10)(9,14)]); # Design 10637: autom. group order 2, simple B[10637]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,13,14],[1,2,4,5,8,9,13],[1,2,4,10,12,13,14],[1,3,5,6,9,12,14],[1,3,7,10,11,12,13],[1,4,6,7,8,10,12],[1,4,6,7,9,11,14],[1,5,7,8,12,13,14],[1,5,7,9,10,11,13],[1,6,8,9,10,11,14],[2,3,6,7,10,13,14],[2,3,7,8,9,11,12],[2,4,5,10,11,12,14],[2,4,7,9,11,12,14],[2,5,6,7,8,10,14],[2,5,6,9,10,11,13],[2,6,7,8,9,12,13],[3,4,5,7,8,10,11],[3,4,5,7,9,13,14],[3,4,6,8,11,13,14],[3,4,6,9,10,12,13],[3,5,8,9,10,12,14],[4,5,6,8,11,12,13]]; G[10637]:=Group([(1,6)(3,5)(4,7)(8,10)(9,14)]); # Design 10638: autom. group order 2, simple B[10638]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,12,13],[1,2,4,5,8,13,14],[1,2,4,9,10,11,14],[1,3,5,6,9,13,14],[1,3,7,10,11,13,14],[1,4,6,7,8,10,12],[1,4,6,7,9,11,13],[1,5,7,8,9,12,14],[1,5,7,10,11,12,14],[1,6,8,9,10,12,13],[2,3,6,7,9,10,14],[2,3,7,8,9,12,14],[2,4,5,10,12,13,14],[2,4,7,9,11,12,13],[2,5,6,7,8,10,13],[2,5,6,9,10,11,12],[2,6,7,8,11,13,14],[3,4,5,7,8,10,11],[3,4,5,7,9,12,13],[3,4,6,8,11,12,14],[3,4,6,10,12,13,14],[3,5,8,9,10,11,13],[4,5,6,8,9,11,14]]; G[10638]:=Group([(1,6)(3,5)(4,7)(8,10)(9,13)]); # Design 10639: autom. group order 2, simple B[10639]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,12,13],[1,2,4,5,8,13,14],[1,2,4,9,10,11,14],[1,3,5,6,9,13,14],[1,3,7,10,12,13,14],[1,4,6,7,8,10,11],[1,4,6,7,9,12,13],[1,5,7,8,9,11,14],[1,5,7,10,11,12,14],[1,6,8,9,10,12,13],[2,3,6,7,9,10,14],[2,3,7,8,9,12,14],[2,4,5,10,12,13,14],[2,4,7,9,11,12,13],[2,5,6,7,8,10,13],[2,5,6,9,10,11,12],[2,6,7,8,11,13,14],[3,4,5,7,8,10,12],[3,4,5,7,9,11,13],[3,4,6,8,11,12,14],[3,4,6,10,11,13,14],[3,5,8,9,10,11,13],[4,5,6,8,9,12,14]]; G[10639]:=Group([(1,6)(3,5)(4,7)(8,10)(9,13)]); # Design 10640: autom. group order 2, simple B[10640]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,13,14],[1,2,4,5,8,13,14],[1,2,4,9,10,11,12],[1,3,5,6,9,12,13],[1,3,7,10,12,13,14],[1,4,6,7,8,10,11],[1,4,6,7,9,13,14],[1,5,7,8,9,11,14],[1,5,7,10,11,12,14],[1,6,8,9,10,12,13],[2,3,6,7,9,10,14],[2,3,7,8,9,12,14],[2,4,5,10,12,13,14],[2,4,7,9,11,12,13],[2,5,6,7,8,10,13],[2,5,6,9,10,11,14],[2,6,7,8,11,12,13],[3,4,5,7,8,10,12],[3,4,5,7,9,11,13],[3,4,6,8,11,12,14],[3,4,6,10,11,13,14],[3,5,8,9,10,11,13],[4,5,6,8,9,12,14]]; G[10640]:=Group([(1,6)(3,5)(4,7)(8,10)(9,13)]); # Design 10641: autom. group order 2, simple, residual B[10641]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,11,12,13],[1,2,4,5,10,12,14],[1,2,4,9,11,13,14],[1,3,5,6,10,13,14],[1,3,7,10,11,12,13],[1,4,6,7,8,11,12],[1,4,6,7,9,12,14],[1,5,7,8,9,10,12],[1,5,7,8,11,13,14],[1,6,8,9,10,13,14],[2,3,6,7,12,13,14],[2,3,7,8,10,12,14],[2,4,5,8,12,13,14],[2,4,7,8,10,11,13],[2,5,6,7,8,9,13],[2,5,6,9,10,11,12],[2,6,7,9,10,11,14],[3,4,5,7,9,10,13],[3,4,5,7,9,11,14],[3,4,6,8,9,12,13],[3,4,6,8,10,11,14],[3,5,8,9,11,12,14],[4,5,6,10,11,12,13]]; G[10641]:=Group([(1,6)(3,5)(4,7)(10,13)]); # Design 10642: autom. group order 2, simple B[10642]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,11,12,13],[1,2,4,5,12,13,14],[1,2,4,10,11,12,14],[1,3,5,6,10,13,14],[1,3,7,8,9,12,13],[1,4,6,7,8,11,12],[1,4,6,7,9,10,13],[1,5,7,8,9,10,14],[1,5,7,9,11,12,14],[1,6,8,10,11,13,14],[2,3,6,7,10,12,14],[2,3,7,9,10,11,14],[2,4,5,8,9,13,14],[2,4,7,8,10,11,13],[2,5,6,7,9,11,13],[2,5,6,8,9,10,12],[2,6,7,8,12,13,14],[3,4,5,7,8,11,14],[3,4,5,7,10,12,13],[3,4,6,8,9,12,14],[3,4,6,9,11,13,14],[3,5,8,10,11,12,13],[4,5,6,9,10,11,12]]; G[10642]:=Group([(1,6)(3,5)(4,7)(8,11)(10,13)]); # Design 10643: autom. group order 2, simple, residual B[10643]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,11,12,13],[1,2,4,5,12,13,14],[1,2,4,10,11,12,14],[1,3,5,6,10,13,14],[1,3,7,8,9,12,13],[1,4,6,7,8,11,14],[1,4,6,7,9,10,13],[1,5,7,8,9,10,14],[1,5,7,9,11,12,14],[1,6,8,10,11,12,13],[2,3,6,7,10,12,14],[2,3,7,9,10,11,14],[2,4,5,8,9,13,14],[2,4,7,8,10,11,13],[2,5,6,7,9,11,13],[2,5,6,8,9,10,12],[2,6,7,8,12,13,14],[3,4,5,7,8,11,12],[3,4,5,7,10,12,13],[3,4,6,8,9,12,14],[3,4,6,9,11,13,14],[3,5,8,10,11,13,14],[4,5,6,9,10,11,12]]; G[10643]:=Group([(1,6)(3,5)(4,7)(8,11)(10,13)]); # Design 10644: autom. group order 2, simple, residual B[10644]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,11,12,13],[1,2,4,5,12,13,14],[1,2,4,10,11,12,14],[1,3,5,6,10,13,14],[1,3,7,8,9,12,13],[1,4,6,7,8,11,14],[1,4,6,7,9,10,13],[1,5,7,8,9,10,14],[1,5,7,10,11,12,13],[1,6,8,9,11,12,14],[2,3,6,7,10,12,14],[2,3,7,9,10,11,14],[2,4,5,8,9,13,14],[2,4,7,8,10,11,13],[2,5,6,7,9,11,13],[2,5,6,8,9,10,12],[2,6,7,8,12,13,14],[3,4,5,7,8,11,12],[3,4,5,7,9,12,14],[3,4,6,8,10,12,13],[3,4,6,9,11,13,14],[3,5,8,10,11,13,14],[4,5,6,9,10,11,12]]; G[10644]:=Group([(1,6)(3,5)(4,7)(8,11)(10,13)]); # Design 10645: autom. group order 2, simple, residual B[10645]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,11,12,13,14],[1,2,4,5,9,12,13],[1,2,4,10,11,12,14],[1,3,5,6,9,10,14],[1,3,7,8,9,12,14],[1,4,6,7,8,11,13],[1,4,6,7,9,13,14],[1,5,7,8,10,12,14],[1,5,7,9,10,11,13],[1,6,8,10,11,12,13],[2,3,6,7,12,13,14],[2,3,7,9,10,11,13],[2,4,5,8,10,13,14],[2,4,7,8,9,11,14],[2,5,6,7,10,11,14],[2,5,6,8,9,12,13],[2,6,7,8,9,10,12],[3,4,5,7,8,11,12],[3,4,5,7,10,12,13],[3,4,6,8,10,13,14],[3,4,6,9,10,11,12],[3,5,8,9,11,13,14],[4,5,6,9,11,12,14]]; G[10645]:=Group([(1,6)(3,5)(4,7)(8,11)(9,14)]); # Design 10646: autom. group order 2, simple, residual B[10646]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,11,12,13,14],[1,2,4,5,9,10,12],[1,2,4,11,12,13,14],[1,3,5,6,9,13,14],[1,3,7,8,9,12,13],[1,4,6,7,8,11,14],[1,4,6,7,10,12,14],[1,5,7,8,10,12,13],[1,5,7,9,10,11,14],[1,6,8,9,10,11,13],[2,3,6,7,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,10,13,14],[2,4,7,8,9,11,13],[2,5,6,7,10,11,13],[2,5,6,8,9,12,14],[2,6,7,8,9,12,14],[3,4,5,7,8,11,12],[3,4,5,7,9,13,14],[3,4,6,8,10,13,14],[3,4,6,9,10,11,12],[3,5,8,10,11,12,14],[4,5,6,9,11,12,13]]; G[10646]:=Group([(1,6)(3,5)(4,7)(8,11)(9,13)]); # Design 10647: autom. group order 2, simple, residual B[10647]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,11,12,13,14],[1,2,4,5,12,13,14],[1,2,4,9,10,11,12],[1,3,5,6,9,10,13],[1,3,7,8,9,13,14],[1,4,6,7,8,11,14],[1,4,6,7,9,12,14],[1,5,7,8,9,10,12],[1,5,7,10,11,13,14],[1,6,8,10,11,12,13],[2,3,6,7,10,12,14],[2,3,7,9,10,11,14],[2,4,5,8,9,13,14],[2,4,7,8,10,11,13],[2,5,6,7,9,11,13],[2,5,6,8,10,12,14],[2,6,7,8,9,12,13],[3,4,5,7,8,11,12],[3,4,5,7,10,12,13],[3,4,6,8,10,13,14],[3,4,6,9,11,12,13],[3,5,8,9,11,12,14],[4,5,6,9,10,11,14]]; G[10647]:=Group([(1,6)(3,5)(4,7)(8,11)(10,13)]); # Design 10648: autom. group order 2, simple B[10648]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,11,12,13,14],[1,2,4,5,12,13,14],[1,2,4,9,10,11,12],[1,3,5,6,9,10,13],[1,3,7,8,9,12,13],[1,4,6,7,8,11,12],[1,4,6,7,10,13,14],[1,5,7,8,9,10,14],[1,5,7,9,11,12,14],[1,6,8,10,11,13,14],[2,3,6,7,10,12,14],[2,3,7,9,10,11,14],[2,4,5,8,9,13,14],[2,4,7,8,10,11,13],[2,5,6,7,9,11,13],[2,5,6,8,10,12,14],[2,6,7,8,9,12,13],[3,4,5,7,8,11,14],[3,4,5,7,10,12,13],[3,4,6,8,9,12,14],[3,4,6,9,11,13,14],[3,5,8,10,11,12,13],[4,5,6,9,10,11,12]]; G[10648]:=Group([(1,6)(3,5)(4,7)(8,11)(10,13)]); # Design 10649: autom. group order 2, simple, residual B[10649]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,11,12,13,14],[1,2,4,5,12,13,14],[1,2,4,9,10,11,12],[1,3,5,6,9,10,13],[1,3,7,8,9,12,13],[1,4,6,7,8,11,14],[1,4,6,7,10,12,13],[1,5,7,8,9,10,14],[1,5,7,10,11,13,14],[1,6,8,9,11,12,14],[2,3,6,7,10,12,14],[2,3,7,9,10,11,14],[2,4,5,8,9,13,14],[2,4,7,8,10,11,13],[2,5,6,7,9,11,13],[2,5,6,8,10,12,14],[2,6,7,8,9,12,13],[3,4,5,7,8,11,12],[3,4,5,7,9,12,14],[3,4,6,8,10,13,14],[3,4,6,9,11,13,14],[3,5,8,10,11,12,13],[4,5,6,9,10,11,12]]; G[10649]:=Group([(1,6)(3,5)(4,7)(8,11)(10,13)]); # Design 10650: autom. group order 2, simple, residual B[10650]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,11,12,13],[1,2,4,5,10,12,14],[1,2,4,8,12,13,14],[1,3,5,6,10,13,14],[1,3,7,10,11,12,13],[1,4,6,7,9,10,13],[1,4,6,7,9,11,14],[1,5,7,8,9,10,12],[1,5,7,8,11,13,14],[1,6,8,9,11,12,14],[2,3,6,7,12,13,14],[2,3,7,9,10,11,14],[2,4,5,9,11,13,14],[2,4,7,8,10,11,13],[2,5,6,7,8,9,13],[2,5,6,9,10,11,12],[2,6,7,8,10,12,14],[3,4,5,7,8,11,12],[3,4,5,7,9,12,14],[3,4,6,8,9,12,13],[3,4,6,8,10,11,14],[3,5,8,9,10,13,14],[4,5,6,10,11,12,13]]; G[10650]:=Group([(1,6)(3,5)(4,7)(10,13)]); # Design 10651: autom. group order 2, simple, residual B[10651]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,10,11,12],[1,2,4,5,12,13,14],[1,2,4,8,12,13,14],[1,3,5,6,9,13,14],[1,3,7,8,10,12,13],[1,4,6,7,9,10,13],[1,4,6,7,10,11,14],[1,5,7,8,9,11,14],[1,5,7,9,11,12,13],[1,6,8,10,11,12,14],[2,3,6,7,9,12,14],[2,3,7,10,11,13,14],[2,4,5,9,10,11,14],[2,4,7,8,9,11,13],[2,5,6,7,8,10,13],[2,5,6,10,11,12,13],[2,6,7,8,9,12,14],[3,4,5,7,8,11,12],[3,4,5,7,10,12,14],[3,4,6,8,11,13,14],[3,4,6,9,11,12,13],[3,5,8,9,10,13,14],[4,5,6,8,9,10,12]]; G[10651]:=Group([(1,6)(3,5)(4,7)(9,13)]); # Design 10652: autom. group order 2, simple, residual B[10652]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,11,12,13,14],[1,2,4,5,9,10,12],[1,2,4,8,12,13,14],[1,3,5,6,9,13,14],[1,3,7,8,10,11,13],[1,4,6,7,9,11,14],[1,4,6,7,10,12,13],[1,5,7,8,9,12,13],[1,5,7,8,10,11,14],[1,6,9,10,11,12,14],[2,3,6,7,10,12,14],[2,3,7,9,11,12,13],[2,4,5,10,11,13,14],[2,4,7,8,9,11,14],[2,5,6,7,8,12,14],[2,5,6,9,10,11,13],[2,6,7,8,9,10,13],[3,4,5,7,9,13,14],[3,4,5,7,10,11,12],[3,4,6,8,9,11,12],[3,4,6,8,10,13,14],[3,5,8,9,10,12,14],[4,5,6,8,11,12,13]]; G[10652]:=Group([(1,6)(3,5)(4,7)(9,14)(10,12)]); # Design 10653: autom. group order 2, simple, residual B[10653]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,7,11,13,14],[1,2,4,5,8,11,13],[1,2,4,7,9,12,14],[1,3,5,9,10,13,14],[1,3,6,8,10,12,13],[1,4,6,7,8,10,14],[1,4,6,9,10,11,12],[1,5,6,8,9,11,14],[1,5,7,10,12,13,14],[1,7,8,9,11,12,13],[2,3,6,7,9,10,13],[2,3,8,10,11,12,14],[2,4,5,8,10,12,13],[2,4,6,9,12,13,14],[2,5,6,8,9,13,14],[2,5,7,9,10,11,12],[2,6,7,8,10,11,14],[3,4,5,7,8,12,14],[3,4,5,9,10,11,14],[3,4,6,11,12,13,14],[3,4,7,8,9,11,13],[3,5,6,7,8,9,12],[4,5,6,7,10,11,13]]; G[10653]:=Group([(1,11)(2,13)(3,7)(5,8)(6,9)]); # Design 10654: autom. group order 2, simple B[10654]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,11,13],[1,2,4,5,12,13,14],[1,2,4,8,10,12,14],[1,3,5,7,8,13,14],[1,3,6,7,9,10,14],[1,4,6,7,10,11,13],[1,4,6,9,11,12,14],[1,5,6,9,10,13,14],[1,5,7,8,9,11,12],[1,7,8,10,11,12,13],[2,3,6,10,11,12,13],[2,3,7,9,12,13,14],[2,4,5,7,9,10,11],[2,4,7,9,11,13,14],[2,5,6,7,8,11,14],[2,5,6,8,9,10,13],[2,6,7,8,10,12,14],[3,4,5,7,10,12,13],[3,4,5,8,10,11,14],[3,4,6,7,8,9,12],[3,4,6,8,11,13,14],[3,5,9,10,11,12,14],[4,5,6,8,9,12,13]]; G[10654]:=Group([(1,14)(3,7)(4,12)(5,13)(6,9)]); # Design 10655: autom. group order 2, simple B[10655]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,7,11,12,13],[1,2,4,5,8,13,14],[1,2,4,9,11,13,14],[1,3,5,8,10,12,14],[1,3,6,7,9,10,13],[1,4,6,7,8,10,11],[1,4,6,10,12,13,14],[1,5,7,9,10,11,14],[1,5,8,9,11,12,13],[1,6,7,8,9,12,14],[2,3,6,8,9,12,14],[2,3,7,8,10,13,14],[2,4,5,7,9,10,12],[2,4,6,10,11,12,14],[2,5,6,7,9,13,14],[2,5,6,8,9,10,11],[2,7,8,10,11,12,13],[3,4,5,7,8,11,14],[3,4,5,9,10,12,13],[3,4,6,8,9,11,13],[3,4,7,9,11,12,14],[3,5,6,10,11,13,14],[4,5,6,7,8,12,13]]; G[10655]:=Group([(1,13)(3,7)(4,14)(5,8)(6,10)]); # Design 10656: autom. group order 2, simple, residual B[10656]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,12,13],[1,2,4,5,8,9,14],[1,2,4,7,11,13,14],[1,3,5,7,10,12,14],[1,3,6,7,10,13,14],[1,4,6,8,12,13,14],[1,4,6,9,10,11,12],[1,5,7,8,9,10,13],[1,5,9,10,11,12,13],[1,6,7,8,9,11,14],[2,3,6,9,10,13,14],[2,3,7,8,9,12,13],[2,4,5,7,10,11,13],[2,4,6,7,9,10,12],[2,5,6,8,10,11,14],[2,5,6,9,12,13,14],[2,7,8,10,11,12,14],[3,4,5,8,10,12,14],[3,4,5,9,11,13,14],[3,4,6,8,10,11,13],[3,4,7,9,11,12,14],[3,5,6,7,8,9,11],[4,5,6,7,8,12,13]]; G[10656]:=Group([(2,9)(3,10)(4,8)(6,13)]); # Design 10657: autom. group order 2, simple B[10657]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,11,12,13],[1,2,4,5,10,12,14],[1,2,4,11,12,13,14],[1,3,5,7,10,13,14],[1,3,6,7,9,11,14],[1,4,6,7,9,10,13],[1,4,6,8,9,12,14],[1,5,7,8,9,12,13],[1,5,8,10,11,13,14],[1,6,7,8,10,11,12],[2,3,6,8,10,12,13],[2,3,7,9,10,12,14],[2,4,5,7,8,9,13],[2,4,6,7,11,13,14],[2,5,6,7,8,12,14],[2,5,6,9,10,11,13],[2,7,8,9,10,11,14],[3,4,5,7,10,11,12],[3,4,5,8,9,11,14],[3,4,6,8,10,13,14],[3,4,7,8,11,12,13],[3,5,6,9,12,13,14],[4,5,6,9,10,11,12]]; G[10657]:=Group([(1,14)(3,7)(4,12)(5,10)(6,9)]); # Design 10658: autom. group order 2, simple, residual B[10658]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,11,12,13],[1,2,4,5,7,12,14],[1,2,4,10,11,13,14],[1,3,5,7,9,13,14],[1,3,6,7,8,10,13],[1,4,6,8,11,12,14],[1,4,6,9,10,12,13],[1,5,7,10,11,12,13],[1,5,8,9,10,11,14],[1,6,7,8,9,12,14],[2,3,6,9,12,13,14],[2,3,7,10,11,12,14],[2,4,5,8,9,13,14],[2,4,6,7,9,10,11],[2,5,6,8,10,12,13],[2,5,7,8,9,10,12],[2,6,7,8,11,13,14],[3,4,5,6,10,12,14],[3,4,5,8,11,12,13],[3,4,7,8,9,11,12],[3,4,7,8,10,13,14],[3,5,6,9,10,11,14],[4,5,6,7,9,11,13]]; G[10658]:=Group([(1,14)(2,10)(4,11)(7,9)(8,12)]); # Design 10659: autom. group order 2, simple, residual B[10659]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,11,12,13],[1,2,4,5,7,12,14],[1,2,4,10,11,13,14],[1,3,5,7,9,13,14],[1,3,6,8,12,13,14],[1,4,6,7,8,10,11],[1,4,6,9,10,12,13],[1,5,7,10,11,12,13],[1,5,8,9,10,11,14],[1,6,7,8,9,12,14],[2,3,6,7,9,10,13],[2,3,7,10,11,12,14],[2,4,5,8,9,13,14],[2,4,6,9,11,12,14],[2,5,6,8,10,12,13],[2,5,7,8,9,10,12],[2,6,7,8,11,13,14],[3,4,5,6,10,12,14],[3,4,5,8,11,12,13],[3,4,7,8,9,11,12],[3,4,7,8,10,13,14],[3,5,6,9,10,11,14],[4,5,6,7,9,11,13]]; G[10659]:=Group([(1,14)(2,10)(4,11)(7,9)(8,12)]); # Design 10660: autom. group order 2, simple, residual B[10660]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,11,12,13],[1,2,4,5,7,12,14],[1,2,4,10,11,13,14],[1,3,5,8,12,13,14],[1,3,6,7,9,13,14],[1,4,6,7,8,10,11],[1,4,6,9,10,12,13],[1,5,7,10,11,12,13],[1,5,8,9,10,11,14],[1,6,7,8,9,12,14],[2,3,6,8,10,12,13],[2,3,7,10,11,12,14],[2,4,5,8,9,13,14],[2,4,6,9,11,12,14],[2,5,6,7,9,10,13],[2,5,7,8,9,10,12],[2,6,7,8,11,13,14],[3,4,5,6,10,12,14],[3,4,5,7,9,11,13],[3,4,7,8,9,11,12],[3,4,7,8,10,13,14],[3,5,6,9,10,11,14],[4,5,6,8,11,12,13]]; G[10660]:=Group([(1,14)(2,10)(4,11)(7,9)(8,12)]); # Design 10661: autom. group order 2, simple B[10661]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,13,14],[1,2,4,5,9,12,13],[1,2,4,7,8,10,14],[1,3,5,9,11,13,14],[1,3,6,7,10,13,14],[1,4,6,8,11,12,14],[1,4,6,9,10,12,13],[1,5,7,8,9,12,14],[1,5,7,8,10,11,12],[1,6,7,9,10,11,13],[2,3,6,7,8,12,13],[2,3,7,9,10,11,12],[2,4,5,10,11,13,14],[2,4,6,7,9,11,14],[2,5,6,8,9,10,11],[2,5,7,10,12,13,14],[2,6,8,9,12,13,14],[3,4,5,6,10,12,14],[3,4,5,7,8,9,13],[3,4,7,9,11,12,14],[3,4,8,10,11,12,13],[3,5,6,8,9,10,14],[4,5,6,7,8,11,13]]; G[10661]:=Group([(1,13)(3,14)(4,12)(6,10)]); # Design 10662: autom. group order 2, simple, residual B[10662]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,11,12,13],[1,2,4,5,10,11,14],[1,2,4,7,12,13,14],[1,3,5,7,8,12,14],[1,3,6,9,10,12,14],[1,4,6,7,8,10,13],[1,4,6,8,9,12,13],[1,5,7,10,11,12,13],[1,5,8,9,11,13,14],[1,6,7,9,10,11,14],[2,3,6,10,11,12,13],[2,3,7,8,10,13,14],[2,4,5,9,10,12,14],[2,4,7,8,9,11,12],[2,5,6,7,9,10,13],[2,5,6,8,12,13,14],[2,6,7,8,9,11,14],[3,4,5,6,9,13,14],[3,4,5,7,9,11,13],[3,4,6,7,11,12,14],[3,4,8,10,11,13,14],[3,5,7,8,9,10,12],[4,5,6,8,10,11,12]]; G[10662]:=Group([(1,10)(2,8)(5,13)(6,14)(7,11)]); # Design 10663: autom. group order 2, simple, residual B[10663]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,7,8,9,13],[1,2,4,5,8,11,14],[1,2,4,7,10,12,13],[1,3,5,10,12,13,14],[1,3,6,9,10,12,14],[1,4,6,7,9,11,14],[1,4,8,11,12,13,14],[1,5,6,7,10,11,13],[1,5,6,8,9,13,14],[1,7,8,9,10,11,12],[2,3,6,8,10,11,14],[2,3,7,11,12,13,14],[2,4,5,9,10,12,14],[2,4,6,9,11,12,13],[2,5,6,8,9,12,13],[2,5,7,9,10,11,14],[2,6,7,8,10,13,14],[3,4,5,7,9,13,14],[3,4,5,8,10,11,13],[3,4,6,7,8,12,14],[3,4,6,9,10,11,13],[3,5,7,8,9,11,12],[4,5,6,7,8,10,12]]; G[10663]:=Group([(1,14)(3,10)(4,11)(6,9)]); # Design 10664: autom. group order 2, simple B[10664]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,7,8,13,14],[1,2,4,5,9,13,14],[1,2,4,8,11,12,13],[1,3,5,7,8,10,11],[1,3,6,9,12,13,14],[1,4,6,7,10,12,13],[1,4,7,9,10,11,14],[1,5,6,8,9,10,12],[1,5,6,10,11,13,14],[1,7,8,9,11,12,14],[2,3,6,7,9,10,14],[2,3,10,11,12,13,14],[2,4,5,8,10,12,14],[2,4,6,7,9,11,12],[2,5,6,8,9,11,14],[2,5,7,9,10,12,13],[2,6,7,8,10,11,13],[3,4,5,7,11,12,14],[3,4,5,9,10,11,13],[3,4,6,8,9,11,13],[3,4,6,8,10,12,14],[3,5,7,8,9,12,13],[4,5,6,7,8,13,14]]; G[10664]:=Group([(2,6)(3,5)(4,12)(7,11)(8,10)]); # Design 10665: autom. group order 2, simple, residual B[10665]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,13,14],[1,2,4,5,9,12,13],[1,2,4,7,8,12,14],[1,3,5,10,11,13,14],[1,3,6,7,9,13,14],[1,4,6,8,9,10,11],[1,4,7,10,11,12,14],[1,5,6,7,9,10,14],[1,5,6,8,10,12,13],[1,7,8,9,11,12,13],[2,3,6,8,10,12,14],[2,3,7,9,10,12,13],[2,4,5,9,10,13,14],[2,4,6,7,11,13,14],[2,5,6,7,8,9,11],[2,5,7,8,10,11,13],[2,6,9,10,11,12,14],[3,4,5,7,10,11,12],[3,4,5,8,9,11,14],[3,4,6,7,8,10,13],[3,4,6,9,11,12,13],[3,5,7,8,9,12,14],[4,5,6,8,12,13,14]]; G[10665]:=Group([(1,14)(2,8)(4,12)(6,9)]); # Design 10666: autom. group order 2, simple B[10666]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,7,9,12,13],[1,2,4,5,11,12,13],[1,2,4,7,10,12,14],[1,3,5,9,10,11,14],[1,3,6,10,11,12,14],[1,4,6,8,9,13,14],[1,4,7,8,11,13,14],[1,5,6,9,12,13,14],[1,5,7,8,10,11,13],[1,6,7,8,9,10,12],[2,3,6,8,10,13,14],[2,3,7,9,11,13,14],[2,4,5,6,10,13,14],[2,4,6,8,9,11,12],[2,5,7,8,10,12,14],[2,5,8,9,11,12,14],[2,6,7,9,10,11,13],[3,4,5,7,8,9,14],[3,4,5,9,10,12,13],[3,4,6,7,11,12,14],[3,4,8,10,11,12,13],[3,5,6,7,8,12,13],[4,5,6,7,9,10,11]]; G[10666]:=Group([(1,12)(2,13)(4,5)(6,10)(7,9)]); # Design 10667: autom. group order 2, simple, residual B[10667]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,7,9,12,13],[1,2,4,5,11,12,13],[1,2,4,7,10,12,14],[1,3,5,9,10,11,14],[1,3,6,8,10,12,14],[1,4,6,8,9,13,14],[1,4,7,8,11,13,14],[1,5,6,9,12,13,14],[1,5,7,8,10,11,13],[1,6,7,9,10,11,12],[2,3,6,10,11,13,14],[2,3,7,9,11,13,14],[2,4,5,6,10,13,14],[2,4,6,8,9,11,12],[2,5,7,8,10,12,14],[2,5,8,9,11,12,14],[2,6,7,8,9,10,13],[3,4,5,7,8,9,14],[3,4,5,9,10,12,13],[3,4,6,7,11,12,14],[3,4,8,10,11,12,13],[3,5,6,7,8,12,13],[4,5,6,7,9,10,11]]; G[10667]:=Group([(1,12)(2,13)(4,5)(6,10)(7,9)]); # Design 10668: autom. group order 2, simple B[10668]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,7,9,12,13],[1,2,4,5,11,12,13],[1,2,4,7,10,12,14],[1,3,5,8,9,10,14],[1,3,6,10,11,12,14],[1,4,6,8,9,13,14],[1,4,7,8,11,13,14],[1,5,6,9,12,13,14],[1,5,7,8,10,11,13],[1,6,7,9,10,11,12],[2,3,6,10,11,13,14],[2,3,7,9,11,13,14],[2,4,5,6,10,13,14],[2,4,6,8,9,11,12],[2,5,7,8,10,12,14],[2,5,8,9,11,12,14],[2,6,7,8,9,10,13],[3,4,5,7,9,11,14],[3,4,5,9,10,12,13],[3,4,6,7,8,12,14],[3,4,8,10,11,12,13],[3,5,6,7,8,12,13],[4,5,6,7,9,10,11]]; G[10668]:=Group([(1,12)(2,13)(4,5)(6,10)(7,9)]); # Design 10669: autom. group order 2, simple, residual B[10669]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,7,11,12,13],[1,2,4,5,9,12,13],[1,2,4,10,11,12,14],[1,3,5,7,9,10,14],[1,3,6,8,10,12,14],[1,4,6,8,11,13,14],[1,4,7,8,9,13,14],[1,5,6,7,12,13,14],[1,5,8,9,10,11,13],[1,6,7,9,10,11,12],[2,3,6,9,10,13,14],[2,3,7,9,11,13,14],[2,4,5,6,10,13,14],[2,4,6,7,8,9,12],[2,5,7,8,10,12,14],[2,5,8,9,11,12,14],[2,6,7,8,10,11,13],[3,4,5,7,8,11,14],[3,4,5,10,11,12,13],[3,4,6,9,11,12,14],[3,4,7,8,10,12,13],[3,5,6,8,9,12,13],[4,5,6,7,9,10,11]]; G[10669]:=Group([(1,12)(2,13)(4,5)(6,10)(7,11)]); # Design 10670: autom. group order 2, simple B[10670]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,7,11,12,13],[1,2,4,5,9,12,13],[1,2,4,10,11,12,14],[1,3,5,7,9,10,14],[1,3,6,8,10,12,14],[1,4,6,8,11,13,14],[1,4,7,8,9,13,14],[1,5,6,7,12,13,14],[1,5,8,9,10,11,13],[1,6,7,9,10,11,12],[2,3,6,9,10,13,14],[2,3,7,8,11,13,14],[2,4,5,6,10,13,14],[2,4,6,7,8,9,12],[2,5,7,8,10,12,14],[2,5,8,9,11,12,14],[2,6,7,9,10,11,13],[3,4,5,7,9,11,14],[3,4,5,10,11,12,13],[3,4,6,9,11,12,14],[3,4,7,8,10,12,13],[3,5,6,8,9,12,13],[4,5,6,7,8,10,11]]; G[10670]:=Group([(1,12)(2,13)(4,5)(6,10)(7,11)]); # Design 10671: autom. group order 2, simple B[10671]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,7,9,12,13],[1,2,4,5,9,12,14],[1,2,4,10,11,13,14],[1,3,5,7,10,11,14],[1,3,6,8,10,12,13],[1,4,6,9,10,11,12],[1,4,7,8,10,13,14],[1,5,6,8,9,13,14],[1,5,7,8,11,12,14],[1,6,7,9,11,12,13],[2,3,6,7,10,12,14],[2,3,8,9,11,13,14],[2,4,5,6,12,13,14],[2,4,6,7,8,11,13],[2,5,7,8,10,12,13],[2,5,8,9,10,11,12],[2,6,7,9,10,11,14],[3,4,5,7,9,11,13],[3,4,5,10,11,12,13],[3,4,6,8,11,12,14],[3,4,7,8,9,12,14],[3,5,6,9,10,13,14],[4,5,6,7,8,9,10]]; G[10671]:=Group([(2,4)(3,10)(5,14)(6,13)(7,11)]); # Design 10672: autom. group order 2, simple B[10672]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,7,8,11,13],[1,2,4,5,9,13,14],[1,2,4,10,11,12,13],[1,3,5,8,10,12,14],[1,3,6,7,9,12,14],[1,4,6,8,12,13,14],[1,4,7,9,10,11,12],[1,5,6,7,8,9,10],[1,5,7,10,11,13,14],[1,6,8,9,11,13,14],[2,3,6,10,12,13,14],[2,3,7,9,10,13,14],[2,4,5,6,9,11,14],[2,4,6,7,8,10,14],[2,5,7,8,9,12,13],[2,5,7,8,11,12,14],[2,6,8,9,10,11,12],[3,4,5,8,9,12,13],[3,4,5,8,10,11,14],[3,4,6,7,8,11,13],[3,4,7,9,11,12,14],[3,5,6,9,10,11,13],[4,5,6,7,10,12,13]]; G[10672]:=Group([(2,13)(3,14)(4,11)(5,8)(7,9)]); # Design 10673: autom. group order 2, simple B[10673]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,7,11,13,14],[1,2,4,5,8,13,14],[1,2,4,7,9,12,13],[1,3,5,8,10,12,14],[1,3,6,8,10,11,13],[1,4,6,9,10,12,14],[1,4,7,10,11,12,14],[1,5,6,7,9,10,13],[1,5,8,9,11,12,13],[1,6,7,8,9,11,14],[2,3,6,9,10,12,13],[2,3,7,8,9,12,14],[2,4,5,8,9,10,11],[2,4,6,10,11,13,14],[2,5,6,7,8,10,14],[2,5,6,9,11,12,14],[2,7,8,10,11,12,13],[3,4,5,7,10,11,12],[3,4,5,9,11,13,14],[3,4,6,7,8,9,11],[3,4,6,8,12,13,14],[3,5,7,9,10,13,14],[4,5,6,7,8,12,13]]; G[10673]:=Group([(1,14)(2,13)(6,9)(7,11)(10,12)]); # Design 10674: autom. group order 2, simple B[10674]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,7,11,12,13],[1,2,4,5,8,13,14],[1,2,4,9,11,13,14],[1,3,5,8,10,11,14],[1,3,6,7,9,10,13],[1,4,6,10,12,13,14],[1,4,7,8,9,11,12],[1,5,6,8,10,12,13],[1,5,7,9,10,12,14],[1,6,7,8,9,11,14],[2,3,6,8,9,12,14],[2,3,7,8,10,13,14],[2,4,5,7,9,10,12],[2,4,6,10,11,12,14],[2,5,6,7,9,13,14],[2,5,6,8,9,10,11],[2,7,8,10,11,12,13],[3,4,5,7,8,12,14],[3,4,5,9,10,11,13],[3,4,6,7,10,11,14],[3,4,6,8,9,12,13],[3,5,9,11,12,13,14],[4,5,6,7,8,11,13]]; G[10674]:=Group([(1,13)(3,7)(4,14)(5,8)(6,10)]); # Design 10675: autom. group order 2, simple B[10675]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,7,11,12,13],[1,2,4,5,8,13,14],[1,2,4,9,11,13,14],[1,3,5,8,10,12,14],[1,3,6,7,9,10,13],[1,4,6,10,12,13,14],[1,4,7,8,9,11,12],[1,5,6,8,10,11,13],[1,5,7,9,10,11,14],[1,6,7,8,9,12,14],[2,3,6,8,9,12,14],[2,3,7,8,10,13,14],[2,4,5,7,9,10,12],[2,4,6,10,11,12,14],[2,5,6,7,9,13,14],[2,5,6,8,9,10,11],[2,7,8,10,11,12,13],[3,4,5,7,8,11,14],[3,4,5,9,10,12,13],[3,4,6,7,10,11,14],[3,4,6,8,9,11,13],[3,5,9,11,12,13,14],[4,5,6,7,8,12,13]]; G[10675]:=Group([(1,13)(3,7)(4,14)(5,8)(6,10)]); # Design 10676: autom. group order 2, simple, residual B[10676]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,7,11,12,13],[1,2,4,5,9,12,14],[1,2,4,11,12,13,14],[1,3,5,9,10,13,14],[1,3,6,7,10,12,13],[1,4,6,8,10,12,14],[1,4,7,8,9,11,13],[1,5,6,9,10,11,12],[1,5,7,8,10,11,14],[1,6,7,8,9,13,14],[2,3,6,8,9,13,14],[2,3,7,9,10,12,14],[2,4,5,7,8,10,13],[2,4,6,10,11,13,14],[2,5,6,7,8,12,14],[2,5,6,9,10,11,13],[2,7,8,9,10,11,12],[3,4,5,7,9,11,14],[3,4,5,8,10,12,13],[3,4,6,7,10,11,14],[3,4,6,8,9,11,12],[3,5,8,11,12,13,14],[4,5,6,7,9,12,13]]; G[10676]:=Group([(1,12)(3,7)(4,14)(5,9)(6,10)]); # Design 10677: autom. group order 2, simple, residual B[10677]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,7,8,11,13],[1,2,4,5,9,13,14],[1,2,4,8,10,12,14],[1,3,5,10,12,13,14],[1,3,6,7,10,11,14],[1,4,6,8,11,12,13],[1,4,7,9,11,12,13],[1,5,6,8,9,10,12],[1,5,7,8,9,11,14],[1,6,7,9,10,13,14],[2,3,6,8,9,13,14],[2,3,9,10,11,12,13],[2,4,5,7,9,10,11],[2,4,6,7,12,13,14],[2,5,6,7,8,10,13],[2,5,6,9,11,12,14],[2,7,8,10,11,12,14],[3,4,5,7,8,12,14],[3,4,5,10,11,13,14],[3,4,6,7,9,10,12],[3,4,6,8,9,11,14],[3,5,7,8,9,12,13],[4,5,6,8,10,11,13]]; G[10677]:=Group([(1,12)(3,14)(4,11)(5,10)(6,8)]); # Design 10678: autom. group order 2, simple, residual B[10678]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,13,14],[1,2,4,5,7,13,14],[1,2,4,8,10,11,12],[1,3,5,9,10,11,13],[1,3,6,7,8,11,13],[1,4,6,9,12,13,14],[1,4,7,10,11,12,13],[1,5,6,8,10,12,14],[1,5,7,9,11,12,14],[1,6,7,8,9,10,14],[2,3,6,9,11,12,14],[2,3,7,10,12,13,14],[2,4,5,9,10,11,14],[2,4,6,7,8,11,14],[2,5,6,7,9,10,13],[2,5,6,8,10,12,13],[2,7,8,9,11,12,13],[3,4,5,7,8,9,12],[3,4,5,8,12,13,14],[3,4,6,7,9,10,12],[3,4,6,10,11,13,14],[3,5,7,8,10,11,14],[4,5,6,8,9,11,13]]; G[10678]:=Group([(1,2)(3,4)(5,8)(6,10)(7,9)(13,14)]); # Design 10679: autom. group order 2, simple B[10679]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,11,13],[1,2,4,5,10,13,14],[1,2,4,11,12,13,14],[1,3,5,7,10,11,14],[1,3,6,7,8,12,14],[1,4,6,8,12,13,14],[1,4,7,9,10,11,12],[1,5,6,8,9,10,14],[1,5,7,8,9,11,13],[1,6,7,9,10,12,13],[2,3,6,9,10,12,13],[2,3,7,8,10,13,14],[2,4,5,7,8,9,12],[2,4,6,7,9,11,14],[2,5,6,7,9,13,14],[2,5,6,8,10,11,12],[2,7,8,10,11,12,14],[3,4,5,7,10,12,13],[3,4,5,8,9,12,14],[3,4,6,7,8,11,13],[3,4,6,9,10,11,14],[3,5,9,11,12,13,14],[4,5,6,8,10,11,13]]; G[10679]:=Group([(1,14)(3,7)(4,13)(5,10)(6,8)]); # Design 10680: autom. group order 2, simple B[10680]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,11,13],[1,2,4,5,10,13,14],[1,2,4,11,12,13,14],[1,3,5,7,10,12,14],[1,3,6,7,8,11,14],[1,4,6,8,12,13,14],[1,4,7,9,10,11,12],[1,5,6,8,9,10,14],[1,5,7,8,9,12,13],[1,6,7,9,10,11,13],[2,3,6,9,10,12,13],[2,3,7,8,10,13,14],[2,4,5,7,8,9,12],[2,4,6,7,9,11,14],[2,5,6,7,9,13,14],[2,5,6,8,10,11,12],[2,7,8,10,11,12,14],[3,4,5,7,10,11,13],[3,4,5,8,9,11,14],[3,4,6,7,8,12,13],[3,4,6,9,10,12,14],[3,5,9,11,12,13,14],[4,5,6,8,10,11,13]]; G[10680]:=Group([(1,14)(3,7)(4,13)(5,10)(6,8)]); # Design 10681: autom. group order 2, simple B[10681]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,11,12,13],[1,2,4,5,10,12,14],[1,2,4,11,12,13,14],[1,3,5,7,10,11,14],[1,3,6,7,9,13,14],[1,4,6,8,9,12,14],[1,4,7,8,10,11,13],[1,5,6,9,10,13,14],[1,5,7,8,9,11,12],[1,6,7,8,10,12,13],[2,3,6,8,10,12,13],[2,3,7,9,10,12,14],[2,4,5,7,8,9,13],[2,4,6,7,11,13,14],[2,5,6,7,8,12,14],[2,5,6,9,10,11,13],[2,7,8,9,10,11,14],[3,4,5,7,10,12,13],[3,4,5,8,9,13,14],[3,4,6,7,9,11,12],[3,4,6,8,10,11,14],[3,5,8,11,12,13,14],[4,5,6,9,10,11,12]]; G[10681]:=Group([(1,14)(3,7)(4,12)(5,10)(6,9)]); # Design 10682: autom. group order 2, simple, residual B[10682]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,11,12,13],[1,2,4,5,12,13,14],[1,2,4,10,11,12,14],[1,3,5,7,9,12,14],[1,3,6,8,10,12,13],[1,4,6,7,11,13,14],[1,4,7,8,9,10,13],[1,5,6,9,10,11,13],[1,5,7,8,9,11,14],[1,6,7,8,10,12,14],[2,3,6,7,9,10,14],[2,3,7,10,11,13,14],[2,4,5,7,8,10,11],[2,4,6,8,9,12,14],[2,5,6,7,10,12,13],[2,5,6,8,9,13,14],[2,7,8,9,11,12,13],[3,4,5,7,8,12,13],[3,4,5,9,10,13,14],[3,4,6,7,9,11,12],[3,4,6,8,11,13,14],[3,5,8,10,11,12,14],[4,5,6,9,10,11,12]]; G[10682]:=Group([(2,14)(3,7)(4,12)(6,9)]); # Design 10683: autom. group order 2, simple B[10683]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,7,12,13,14],[1,2,4,5,9,11,12],[1,2,4,7,10,12,13],[1,3,5,10,11,13,14],[1,3,6,9,12,13,14],[1,4,6,7,8,9,14],[1,4,8,10,11,12,14],[1,5,6,7,8,10,13],[1,5,8,9,11,12,13],[1,6,7,9,10,11,14],[2,3,6,9,10,11,13],[2,3,7,8,11,12,14],[2,4,5,9,10,13,14],[2,4,6,8,11,13,14],[2,5,6,8,10,12,14],[2,5,7,8,9,13,14],[2,6,7,9,10,11,12],[3,4,5,6,10,12,14],[3,4,5,7,9,11,14],[3,4,6,8,9,12,13],[3,4,7,8,10,11,13],[3,5,7,8,9,10,12],[4,5,6,7,11,12,13]]; G[10683]:=Group([(1,14)(3,13)(4,8)(6,9)(10,11)]); # Design 10684: autom. group order 2, simple B[10684]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,7,8,9,13],[1,2,4,5,11,13,14],[1,2,4,8,12,13,14],[1,3,5,7,10,11,14],[1,3,6,8,10,11,13],[1,4,6,7,9,10,14],[1,4,7,9,11,12,13],[1,5,6,9,10,12,13],[1,5,7,8,10,12,14],[1,6,8,9,11,12,14],[2,3,6,10,12,13,14],[2,3,7,9,11,12,14],[2,4,5,9,10,11,12],[2,4,6,8,10,11,14],[2,5,6,7,8,9,14],[2,5,7,8,10,12,13],[2,6,7,9,10,11,13],[3,4,5,6,8,9,12],[3,4,5,9,10,13,14],[3,4,6,7,12,13,14],[3,4,7,8,10,11,12],[3,5,8,9,11,13,14],[4,5,6,7,8,11,13]]; G[10684]:=Group([(1,14)(2,13)(6,9)(7,10)(8,12)]); # Design 10685: autom. group order 2, simple, residual B[10685]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,7,8,9,13],[1,2,4,5,11,13,14],[1,2,4,8,12,13,14],[1,3,5,7,10,11,14],[1,3,6,8,10,11,13],[1,4,6,7,9,10,14],[1,4,7,9,11,12,13],[1,5,6,8,9,12,14],[1,5,7,8,10,12,14],[1,6,9,10,11,12,13],[2,3,6,10,12,13,14],[2,3,7,9,11,12,14],[2,4,5,9,10,11,12],[2,4,6,8,10,11,14],[2,5,6,7,9,10,13],[2,5,7,8,10,12,13],[2,6,7,8,9,11,14],[3,4,5,6,8,9,12],[3,4,5,9,10,13,14],[3,4,6,7,12,13,14],[3,4,7,8,10,11,12],[3,5,8,9,11,13,14],[4,5,6,7,8,11,13]]; G[10685]:=Group([(1,14)(2,13)(6,9)(7,10)(8,12)]); # Design 10686: autom. group order 2, simple, residual B[10686]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,7,8,13,14],[1,2,4,5,9,11,13],[1,2,4,8,10,12,14],[1,3,5,10,11,13,14],[1,3,6,7,9,10,12],[1,4,6,7,11,13,14],[1,4,7,10,11,12,14],[1,5,6,8,9,10,11],[1,5,8,9,12,13,14],[1,6,7,8,9,12,13],[2,3,6,9,10,13,14],[2,3,7,9,11,12,14],[2,4,5,7,9,12,13],[2,4,6,8,9,11,14],[2,5,6,10,12,13,14],[2,5,7,8,10,11,12],[2,6,7,8,10,11,13],[3,4,5,6,8,12,14],[3,4,5,7,8,10,13],[3,4,6,8,11,12,13],[3,4,9,10,11,12,13],[3,5,7,8,9,11,14],[4,5,6,7,9,10,14]]; G[10686]:=Group([(1,4)(3,9)(6,13)(7,11)]); # Design 10687: autom. group order 2, simple, residual B[10687]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,7,12,13,14],[1,2,4,5,9,11,12],[1,2,4,10,11,13,14],[1,3,5,9,10,12,13],[1,3,6,9,11,13,14],[1,4,6,7,9,10,13],[1,4,7,8,9,12,14],[1,5,6,8,10,12,14],[1,5,7,8,10,11,14],[1,6,7,8,11,12,13],[2,3,6,7,8,9,14],[2,3,8,10,11,12,13],[2,4,5,7,8,12,13],[2,4,6,8,10,13,14],[2,5,6,9,10,12,14],[2,5,7,9,11,13,14],[2,6,7,9,10,11,12],[3,4,5,6,12,13,14],[3,4,5,7,10,11,14],[3,4,6,7,10,11,12],[3,4,8,9,11,12,14],[3,5,7,8,9,10,13],[4,5,6,8,9,11,13]]; G[10687]:=Group([(1,8)(2,9)(3,4)(5,14)(6,12)(7,11)]); # Design 10688: autom. group order 2, simple B[10688]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,11,12,13],[1,2,4,5,7,9,14],[1,2,4,8,12,13,14],[1,3,5,10,11,12,14],[1,3,6,7,10,12,14],[1,4,6,9,10,11,13],[1,4,7,8,10,11,13],[1,5,6,8,11,13,14],[1,5,7,9,10,12,13],[1,6,7,8,9,12,14],[2,3,6,9,10,13,14],[2,3,7,8,10,13,14],[2,4,5,10,11,12,14],[2,4,6,7,10,11,12],[2,5,6,8,10,12,13],[2,5,7,9,11,13,14],[2,6,7,8,9,11,12],[3,4,5,6,9,12,13],[3,4,5,7,8,12,13],[3,4,6,7,11,13,14],[3,4,8,9,11,12,14],[3,5,7,8,9,10,11],[4,5,6,8,9,10,14]]; G[10688]:=Group([(1,2)(3,4)(6,7)(8,9)(11,14)]); # Design 10689: autom. group order 2, simple B[10689]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,11,12,13],[1,2,4,5,7,9,14],[1,2,4,8,12,13,14],[1,3,5,10,11,12,14],[1,3,6,7,10,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,11,12],[1,5,6,8,11,13,14],[1,5,7,9,10,12,13],[1,6,7,8,9,12,14],[2,3,6,9,10,12,14],[2,3,7,8,10,13,14],[2,4,5,10,11,12,14],[2,4,6,7,10,11,13],[2,5,6,8,10,12,13],[2,5,7,9,11,13,14],[2,6,7,8,9,11,12],[3,4,5,6,9,12,13],[3,4,5,7,8,12,13],[3,4,6,7,11,12,14],[3,4,8,9,11,13,14],[3,5,7,8,9,10,11],[4,5,6,8,9,10,14]]; G[10689]:=Group([(1,2)(3,4)(6,7)(8,9)(11,14)]); # Design 10690: autom. group order 2, simple, residual B[10690]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,13,14],[1,2,4,5,9,12,13],[1,2,4,7,10,13,14],[1,3,5,7,8,13,14],[1,3,6,9,10,11,14],[1,4,6,7,8,10,12],[1,4,8,9,11,12,13],[1,5,6,8,10,12,14],[1,5,7,9,11,12,14],[1,6,7,9,10,11,13],[2,3,6,7,8,9,12],[2,3,7,10,11,12,13],[2,4,5,10,11,12,14],[2,4,6,7,9,11,14],[2,5,6,8,10,11,13],[2,5,7,8,9,10,14],[2,6,8,9,12,13,14],[3,4,5,6,9,13,14],[3,4,5,8,9,10,11],[3,4,6,10,12,13,14],[3,4,7,8,11,12,14],[3,5,7,9,10,12,13],[4,5,6,7,8,11,13]]; G[10690]:=Group([(1,8)(2,11)(3,13)(10,12)]); # Design 10691: autom. group order 2, simple, residual B[10691]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,12,13],[1,2,4,5,9,13,14],[1,2,4,7,10,11,14],[1,3,5,7,10,12,13],[1,3,6,9,10,11,14],[1,4,6,7,9,12,13],[1,4,8,11,12,13,14],[1,5,6,8,9,13,14],[1,5,7,8,9,10,11],[1,6,7,8,10,12,14],[2,3,6,8,10,13,14],[2,3,7,8,9,12,14],[2,4,5,8,9,10,12],[2,4,6,7,8,11,13],[2,5,6,9,11,12,14],[2,5,7,10,12,13,14],[2,6,7,9,10,11,13],[3,4,5,6,7,8,14],[3,4,5,10,11,13,14],[3,4,6,9,10,12,13],[3,4,7,9,11,12,14],[3,5,7,8,9,11,13],[4,5,6,8,10,11,12]]; G[10691]:=Group([(1,3)(4,8)(5,12)(6,11)(7,13)]); # Design 10692: autom. group order 2, simple B[10692]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,12,13],[1,2,4,5,9,13,14],[1,2,4,7,10,11,14],[1,3,5,7,10,12,13],[1,3,6,9,10,11,14],[1,4,6,7,12,13,14],[1,4,8,9,11,12,13],[1,5,6,8,9,13,14],[1,5,7,8,9,10,11],[1,6,7,8,10,12,14],[2,3,6,8,10,13,14],[2,3,7,8,9,12,14],[2,4,5,8,10,12,14],[2,4,6,7,8,11,13],[2,5,6,9,11,12,14],[2,5,7,9,10,12,13],[2,6,7,9,10,11,13],[3,4,5,6,7,8,9],[3,4,5,10,11,13,14],[3,4,6,9,10,12,13],[3,4,7,9,11,12,14],[3,5,7,8,11,13,14],[4,5,6,8,10,11,12]]; G[10692]:=Group([(1,3)(4,8)(5,12)(6,11)(7,13)]); # Design 10693: autom. group order 2, simple B[10693]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,12,13],[1,2,4,5,9,13,14],[1,2,4,7,10,11,14],[1,3,5,7,10,12,13],[1,3,6,9,10,11,14],[1,4,6,7,12,13,14],[1,4,8,9,11,12,13],[1,5,6,8,9,13,14],[1,5,7,8,10,11,14],[1,6,7,8,9,10,12],[2,3,6,8,10,13,14],[2,3,7,8,9,12,14],[2,4,5,8,10,12,14],[2,4,6,7,8,11,13],[2,5,6,9,11,12,14],[2,5,7,9,10,12,13],[2,6,7,9,10,11,13],[3,4,5,6,7,8,9],[3,4,5,9,10,11,13],[3,4,6,10,12,13,14],[3,4,7,9,11,12,14],[3,5,7,8,11,13,14],[4,5,6,8,10,11,12]]; G[10693]:=Group([(1,3)(4,8)(5,12)(6,11)(7,13)]); # Design 10694: autom. group order 2, simple, residual B[10694]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,11,12,13],[1,2,4,5,10,11,14],[1,2,4,7,12,13,14],[1,3,5,7,8,12,14],[1,3,6,9,10,12,14],[1,4,6,7,8,10,13],[1,4,8,9,11,12,14],[1,5,6,9,10,13,14],[1,5,7,10,11,12,13],[1,6,7,8,9,11,13],[2,3,6,10,11,12,13],[2,3,7,8,10,13,14],[2,4,5,8,9,12,13],[2,4,6,7,9,10,12],[2,5,6,8,9,13,14],[2,5,7,9,10,11,14],[2,6,7,8,11,12,14],[3,4,5,6,12,13,14],[3,4,5,7,9,11,13],[3,4,6,7,9,11,14],[3,4,8,10,11,13,14],[3,5,7,8,9,10,12],[4,5,6,8,10,11,12]]; G[10694]:=Group([(1,10)(2,8)(5,13)(6,14)(7,11)]); # Design 10695: autom. group order 2, simple, residual B[10695]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,11,12,13],[1,2,4,5,8,12,14],[1,2,4,7,10,13,14],[1,3,5,7,11,13,14],[1,3,6,9,12,13,14],[1,4,6,7,10,11,12],[1,4,8,9,11,13,14],[1,5,6,9,10,12,14],[1,5,7,8,10,12,13],[1,6,7,8,9,10,11],[2,3,6,8,10,12,13],[2,3,7,10,11,12,14],[2,4,5,9,10,11,13],[2,4,6,7,9,12,13],[2,5,6,9,10,11,14],[2,5,7,8,9,12,14],[2,6,7,8,11,13,14],[3,4,5,6,10,13,14],[3,4,5,7,9,11,12],[3,4,6,7,8,9,14],[3,4,8,10,11,12,14],[3,5,7,8,9,10,13],[4,5,6,8,11,12,13]]; G[10695]:=Group([(1,12)(2,11)(5,10)(6,14)(7,8)]); # Design 10696: autom. group order 2, simple, residual B[10696]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,12,13],[1,2,4,5,9,13,14],[1,2,4,7,10,11,14],[1,3,5,9,10,12,14],[1,3,6,7,9,11,13],[1,4,6,7,10,12,13],[1,4,8,11,12,13,14],[1,5,6,8,10,13,14],[1,5,7,8,9,10,11],[1,6,7,8,9,12,14],[2,3,6,8,10,13,14],[2,3,7,8,9,12,14],[2,4,5,7,8,12,13],[2,4,6,8,9,10,11],[2,5,6,10,11,12,14],[2,5,7,9,10,12,13],[2,6,7,9,11,13,14],[3,4,5,6,7,8,14],[3,4,5,9,11,13,14],[3,4,6,9,10,12,13],[3,4,7,10,11,12,14],[3,5,7,8,10,11,13],[4,5,6,8,9,11,12]]; G[10696]:=Group([(1,3)(4,8)(5,12)(6,11)(7,13)]); # Design 10697: autom. group order 2, simple B[10697]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,12,13],[1,2,4,5,9,13,14],[1,2,4,7,10,11,14],[1,3,5,9,10,12,14],[1,3,6,7,9,11,13],[1,4,6,7,12,13,14],[1,4,8,10,11,12,13],[1,5,6,8,10,13,14],[1,5,7,8,9,10,11],[1,6,7,8,9,12,14],[2,3,6,8,10,13,14],[2,3,7,8,9,12,14],[2,4,5,7,8,12,13],[2,4,6,8,9,11,14],[2,5,6,10,11,12,14],[2,5,7,9,10,12,13],[2,6,7,9,10,11,13],[3,4,5,6,7,8,10],[3,4,5,9,11,13,14],[3,4,6,9,10,12,13],[3,4,7,10,11,12,14],[3,5,7,8,11,13,14],[4,5,6,8,9,11,12]]; G[10697]:=Group([(1,3)(4,8)(5,12)(6,11)(7,13)]); # Design 10698: autom. group order 2, simple B[10698]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,12,13],[1,2,4,5,9,13,14],[1,2,4,7,10,11,14],[1,3,5,9,10,12,14],[1,3,6,7,9,11,13],[1,4,6,9,12,13,14],[1,4,7,8,10,11,12],[1,5,6,7,8,9,10],[1,5,8,10,11,13,14],[1,6,7,8,12,13,14],[2,3,6,8,10,13,14],[2,3,7,8,9,12,14],[2,4,5,7,8,12,13],[2,4,6,8,9,11,14],[2,5,6,10,11,12,14],[2,5,7,9,10,12,13],[2,6,7,9,10,11,13],[3,4,5,6,8,10,13],[3,4,5,7,11,13,14],[3,4,6,7,10,12,14],[3,4,9,10,11,12,13],[3,5,7,8,9,11,14],[4,5,6,8,9,11,12]]; G[10698]:=Group([(1,3)(4,8)(5,12)(6,11)(7,13)]); # Design 10699: autom. group order 2, simple, residual B[10699]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,13,14],[1,2,4,5,9,11,13],[1,2,4,8,10,12,14],[1,3,5,7,10,13,14],[1,3,6,7,9,10,12],[1,4,6,7,11,13,14],[1,4,7,10,11,12,14],[1,5,6,8,9,10,11],[1,5,8,9,12,13,14],[1,6,7,8,9,12,13],[2,3,6,9,10,13,14],[2,3,7,9,11,12,14],[2,4,5,7,9,12,13],[2,4,6,7,8,9,14],[2,5,6,10,12,13,14],[2,5,7,8,10,11,12],[2,6,7,8,10,11,13],[3,4,5,6,8,12,14],[3,4,5,7,8,10,13],[3,4,6,8,11,12,13],[3,4,9,10,11,12,13],[3,5,7,8,9,11,14],[4,5,6,9,10,11,14]]; G[10699]:=Group([(1,4)(3,9)(6,13)(7,11)]); # Design 10700: autom. group order 2, simple B[10700]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,12,13],[1,2,4,5,9,13,14],[1,2,4,10,11,13,14],[1,3,5,9,10,12,14],[1,3,6,7,9,11,13],[1,4,6,7,9,12,14],[1,4,7,8,10,11,12],[1,5,6,7,8,13,14],[1,5,7,8,10,11,14],[1,6,8,9,10,12,13],[2,3,6,7,8,10,14],[2,3,7,8,9,12,14],[2,4,5,7,8,12,13],[2,4,6,8,9,11,14],[2,5,6,10,11,12,14],[2,5,7,9,10,12,13],[2,6,7,9,10,11,13],[3,4,5,6,8,10,13],[3,4,5,7,9,10,11],[3,4,6,10,12,13,14],[3,4,7,11,12,13,14],[3,5,8,9,11,13,14],[4,5,6,8,9,11,12]]; G[10700]:=Group([(1,3)(4,8)(5,12)(6,11)(7,13)]); # Design 10701: autom. group order 2, simple, residual B[10701]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,7,11,12,13],[1,2,4,5,11,12,14],[1,2,4,7,9,13,14],[1,3,5,8,10,13,14],[1,3,6,9,12,13,14],[1,4,6,8,12,13,14],[1,4,7,9,10,11,12],[1,5,6,9,10,11,13],[1,5,7,8,9,10,12],[1,6,7,8,10,11,14],[2,3,7,8,10,12,14],[2,3,9,10,11,13,14],[2,4,5,6,9,10,14],[2,4,6,8,10,12,13],[2,5,6,7,10,12,13],[2,5,8,9,11,12,14],[2,6,7,8,9,11,13],[3,4,5,7,8,9,13],[3,4,5,10,11,12,13],[3,4,6,7,10,11,14],[3,4,6,8,9,11,12],[3,5,6,7,9,12,14],[4,5,7,8,11,13,14]]; G[10701]:=Group([(2,10)(3,9)(4,8)(5,7)(6,12)]); # Design 10702: autom. group order 2, simple, residual B[10702]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,11,13],[1,2,4,5,12,13,14],[1,2,4,7,10,11,13],[1,3,5,7,8,10,14],[1,3,6,7,9,12,14],[1,4,6,8,9,13,14],[1,4,7,9,10,11,12],[1,5,6,8,9,10,12],[1,5,10,11,12,13,14],[1,6,7,8,11,13,14],[2,3,7,8,11,12,14],[2,3,9,10,12,13,14],[2,4,5,6,9,11,14],[2,4,6,8,10,12,14],[2,5,6,7,8,10,13],[2,5,7,8,9,12,13],[2,6,7,9,10,11,14],[3,4,5,7,9,13,14],[3,4,5,8,10,11,14],[3,4,6,7,10,12,13],[3,4,6,8,11,12,13],[3,5,6,9,10,11,13],[4,5,7,8,9,11,12]]; G[10702]:=Group([(2,13)(3,14)(4,11)(5,8)(9,12)]); # Design 10703: autom. group order 2, simple B[10703]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,13,14],[1,2,4,5,9,13,14],[1,2,4,10,11,12,13],[1,3,5,8,10,12,14],[1,3,6,7,9,10,13],[1,4,7,8,9,12,13],[1,4,7,10,11,12,14],[1,5,6,7,8,13,14],[1,5,6,8,9,10,11],[1,6,7,9,11,12,14],[2,3,6,7,10,12,13],[2,3,7,8,9,11,14],[2,4,5,6,9,12,14],[2,4,6,7,8,10,14],[2,5,7,8,9,10,12],[2,5,7,10,11,13,14],[2,6,8,9,11,12,13],[3,4,5,7,8,11,12],[3,4,5,7,9,11,13],[3,4,6,8,12,13,14],[3,4,6,9,10,11,14],[3,5,9,10,12,13,14],[4,5,6,8,10,11,13]]; G[10703]:=Group([(2,6)(3,5)(4,7)(9,13)(10,14)]); # Design 10704: autom. group order 2, simple B[10704]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,13,14],[1,2,4,5,9,13,14],[1,2,4,10,11,12,13],[1,3,5,8,10,12,14],[1,3,6,7,9,10,13],[1,4,7,8,9,12,13],[1,4,7,10,11,12,14],[1,5,6,7,8,13,14],[1,5,6,8,9,10,11],[1,6,7,9,11,12,14],[2,3,6,7,10,12,13],[2,3,7,8,9,12,14],[2,4,5,6,9,12,14],[2,4,6,7,8,10,14],[2,5,7,8,9,10,11],[2,5,7,10,11,13,14],[2,6,8,9,11,12,13],[3,4,5,7,8,11,12],[3,4,5,7,9,11,13],[3,4,6,8,11,13,14],[3,4,6,9,10,11,14],[3,5,9,10,12,13,14],[4,5,6,8,10,12,13]]; G[10704]:=Group([(2,6)(3,5)(4,7)(9,13)(10,14)]); # Design 10705: autom. group order 2, simple, residual B[10705]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,13,14],[1,2,4,5,9,13,14],[1,2,4,10,11,12,13],[1,3,5,8,10,12,14],[1,3,6,7,9,10,13],[1,4,7,8,9,12,13],[1,4,7,10,11,12,14],[1,5,6,7,8,13,14],[1,5,6,8,9,10,11],[1,6,7,9,11,12,14],[2,3,6,7,10,12,13],[2,3,7,8,9,11,14],[2,4,5,6,9,12,14],[2,4,6,7,8,10,14],[2,5,7,8,9,10,12],[2,5,7,8,11,12,13],[2,6,9,10,11,13,14],[3,4,5,7,9,11,13],[3,4,5,7,10,11,14],[3,4,6,8,9,11,12],[3,4,6,8,12,13,14],[3,5,9,10,12,13,14],[4,5,6,8,10,11,13]]; G[10705]:=Group([(2,6)(3,5)(4,7)(9,13)(10,14)]); # Design 10706: autom. group order 2, simple, residual B[10706]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,13,14],[1,2,4,5,8,12,13],[1,2,4,9,10,11,14],[1,3,5,9,12,13,14],[1,3,6,7,9,10,12],[1,4,7,8,10,12,14],[1,4,7,9,11,12,13],[1,5,6,7,8,10,13],[1,5,6,9,10,11,14],[1,6,7,8,11,13,14],[2,3,6,7,8,9,14],[2,3,7,10,11,12,13],[2,4,5,6,10,13,14],[2,4,6,7,9,11,13],[2,5,7,8,9,12,14],[2,5,7,10,11,12,14],[2,6,8,9,10,12,13],[3,4,5,7,8,10,11],[3,4,5,7,9,13,14],[3,4,6,8,11,12,14],[3,4,6,10,12,13,14],[3,5,8,9,10,11,13],[4,5,6,8,9,11,12]]; G[10706]:=Group([(2,6)(3,5)(4,7)(8,10)(9,13)]); # Design 10707: autom. group order 2, simple, residual B[10707]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,11,12,13],[1,2,4,5,12,13,14],[1,2,4,10,11,12,14],[1,3,5,9,10,13,14],[1,3,6,7,10,12,14],[1,4,7,8,9,11,14],[1,4,7,8,10,11,13],[1,5,6,7,9,11,13],[1,5,6,8,9,10,12],[1,6,7,8,12,13,14],[2,3,6,7,10,11,14],[2,3,7,8,9,12,13],[2,4,5,6,8,13,14],[2,4,6,7,9,10,13],[2,5,7,8,9,10,14],[2,5,7,10,11,12,13],[2,6,8,9,11,12,14],[3,4,5,7,8,11,12],[3,4,5,7,9,12,14],[3,4,6,8,10,12,13],[3,4,6,9,11,13,14],[3,5,8,10,11,13,14],[4,5,6,9,10,11,12]]; G[10707]:=Group([(2,6)(3,5)(4,7)(8,11)(10,13)]); # Design 10708: autom. group order 2, simple, residual B[10708]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,11,12,13,14],[1,2,4,5,9,12,13],[1,2,4,10,11,12,14],[1,3,5,9,10,13,14],[1,3,6,7,10,12,14],[1,4,7,8,9,11,14],[1,4,7,8,10,11,13],[1,5,6,7,11,13,14],[1,5,6,8,9,10,12],[1,6,7,8,9,12,13],[2,3,6,7,9,10,11],[2,3,7,8,9,13,14],[2,4,5,6,8,13,14],[2,4,6,7,9,12,14],[2,5,7,8,10,12,14],[2,5,7,9,10,11,13],[2,6,8,10,11,12,13],[3,4,5,7,8,11,12],[3,4,5,7,10,12,13],[3,4,6,8,10,13,14],[3,4,6,9,11,12,13],[3,5,8,9,11,12,14],[4,5,6,9,10,11,14]]; G[10708]:=Group([(2,6)(3,5)(4,7)(8,11)(9,14)(10,13)]); # Design 10709: autom. group order 2, simple, residual B[10709]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,7,8,11,13],[1,2,4,5,9,13,14],[1,2,4,11,12,13,14],[1,3,5,8,10,12,14],[1,3,7,9,10,13,14],[1,4,6,7,8,9,12],[1,4,6,10,11,12,14],[1,5,6,7,8,13,14],[1,5,6,8,9,10,11],[1,7,9,10,11,12,13],[2,3,6,7,10,12,13],[2,3,8,9,11,12,14],[2,4,5,7,9,10,11],[2,4,6,8,10,13,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[2,6,7,8,9,12,14],[3,4,5,7,9,12,14],[3,4,5,8,10,12,13],[3,4,6,7,10,11,14],[3,4,6,8,9,11,13],[3,5,6,9,11,13,14],[4,5,7,8,11,12,13]]; G[10709]:=Group([(2,13)(3,7)(4,14)(5,9)(6,10)]); # Design 10710: autom. group order 2, simple, residual B[10710]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,7,8,11,13],[1,2,4,5,9,13,14],[1,2,4,11,12,13,14],[1,3,5,8,10,12,14],[1,3,7,9,10,13,14],[1,4,6,7,8,9,12],[1,4,6,10,11,12,14],[1,5,6,7,8,13,14],[1,5,6,8,9,10,11],[1,7,9,10,11,12,13],[2,3,6,7,10,12,13],[2,3,8,9,11,12,14],[2,4,5,7,9,10,11],[2,4,6,8,10,13,14],[2,5,6,9,10,12,13],[2,5,7,8,10,12,14],[2,6,7,8,9,11,14],[3,4,5,7,9,12,14],[3,4,5,8,10,11,13],[3,4,6,7,10,11,14],[3,4,6,8,9,12,13],[3,5,6,9,11,13,14],[4,5,7,8,11,12,13]]; G[10710]:=Group([(2,13)(3,7)(4,14)(5,9)(6,10)]); # Design 10711: autom. group order 2, simple, residual B[10711]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,7,8,11,13],[1,2,4,5,9,13,14],[1,2,4,11,12,13,14],[1,3,5,8,10,12,14],[1,3,7,9,10,13,14],[1,4,6,7,8,9,12],[1,4,6,10,11,12,14],[1,5,6,7,8,13,14],[1,5,6,8,9,10,11],[1,7,9,10,11,12,13],[2,3,6,7,10,12,13],[2,3,8,9,11,12,14],[2,4,5,7,9,10,12],[2,4,6,8,10,13,14],[2,5,6,9,10,11,13],[2,5,7,8,10,11,14],[2,6,7,8,9,12,14],[3,4,5,7,9,11,14],[3,4,5,8,10,12,13],[3,4,6,7,10,11,14],[3,4,6,8,9,11,13],[3,5,6,9,12,13,14],[4,5,7,8,11,12,13]]; G[10711]:=Group([(2,13)(3,7)(4,14)(5,9)(6,10)]); # Design 10712: autom. group order 2, simple B[10712]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,7,8,11,13],[1,2,4,5,9,13,14],[1,2,4,11,12,13,14],[1,3,5,8,10,12,14],[1,3,7,9,10,13,14],[1,4,6,7,8,9,12],[1,4,6,8,10,11,14],[1,5,6,7,8,13,14],[1,5,6,9,10,11,12],[1,7,9,10,11,12,13],[2,3,6,7,10,12,13],[2,3,8,9,11,12,14],[2,4,5,7,9,10,11],[2,4,6,10,12,13,14],[2,5,6,8,9,10,13],[2,5,7,8,10,12,14],[2,6,7,8,9,11,14],[3,4,5,7,9,12,14],[3,4,5,8,10,11,13],[3,4,6,7,10,11,14],[3,4,6,8,9,12,13],[3,5,6,9,11,13,14],[4,5,7,8,11,12,13]]; G[10712]:=Group([(2,13)(3,7)(4,14)(5,9)(6,10)]); # Design 10713: autom. group order 2, simple, residual B[10713]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,7,9,12,13],[1,2,4,5,12,13,14],[1,2,4,10,11,12,14],[1,3,5,10,11,13,14],[1,3,7,8,10,12,13],[1,4,6,7,8,10,14],[1,4,6,9,10,11,13],[1,5,6,7,9,11,12],[1,5,6,8,9,12,14],[1,7,8,9,11,13,14],[2,3,6,7,9,10,14],[2,3,8,9,11,12,14],[2,4,5,7,9,13,14],[2,4,6,8,9,11,13],[2,5,6,8,10,12,13],[2,5,7,8,10,11,14],[2,6,7,10,11,12,13],[3,4,5,7,8,11,13],[3,4,5,9,10,11,12],[3,4,6,7,11,12,14],[3,4,6,8,12,13,14],[3,5,6,9,10,13,14],[4,5,7,8,9,10,12]]; G[10713]:=Group([(1,9)(2,10)(3,4)(6,12)(7,11)]); # Design 10714: autom. group order 2, simple, residual B[10714]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,7,11,12,13],[1,2,4,5,9,12,14],[1,2,4,11,12,13,14],[1,3,5,8,10,13,14],[1,3,7,9,10,12,14],[1,4,6,7,8,9,13],[1,4,6,10,11,13,14],[1,5,6,7,8,12,14],[1,5,6,9,10,11,13],[1,7,8,9,10,11,12],[2,3,6,7,10,12,13],[2,3,8,9,11,13,14],[2,4,5,7,9,10,13],[2,4,6,8,10,12,14],[2,5,6,9,10,11,12],[2,5,7,8,10,11,14],[2,6,7,8,9,13,14],[3,4,5,7,9,11,14],[3,4,5,8,10,12,13],[3,4,6,7,10,11,14],[3,4,6,8,9,11,12],[3,5,6,9,12,13,14],[4,5,7,8,11,12,13]]; G[10714]:=Group([(2,12)(3,7)(4,14)(5,9)(6,10)]); # Design 10715: autom. group order 2, simple, residual B[10715]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,12,13,14],[1,2,4,5,7,12,13],[1,2,4,10,11,12,14],[1,3,5,8,9,10,14],[1,3,7,10,11,12,13],[1,4,6,7,9,10,11],[1,4,6,8,11,12,14],[1,5,6,7,10,13,14],[1,5,6,8,9,12,13],[1,7,8,9,11,13,14],[2,3,6,7,9,12,14],[2,3,7,8,10,11,13],[2,4,5,9,11,13,14],[2,4,6,8,10,13,14],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[2,6,7,8,9,11,12],[3,4,5,7,9,11,14],[3,4,5,8,11,12,13],[3,4,6,7,8,13,14],[3,4,6,9,10,12,13],[3,5,6,10,11,12,14],[4,5,7,8,9,10,12]]; G[10715]:=Group([(1,12)(3,7)(4,14)(5,9)]); # Design 10716: autom. group order 2, simple B[10716]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,11,13],[1,2,4,5,10,13,14],[1,2,4,11,12,13,14],[1,3,5,7,8,10,12],[1,3,7,9,10,13,14],[1,4,6,7,8,11,14],[1,4,6,8,9,12,13],[1,5,6,7,8,13,14],[1,5,6,9,10,11,12],[1,7,9,10,11,12,14],[2,3,6,10,12,13,14],[2,3,7,8,11,12,14],[2,4,5,7,9,12,14],[2,4,6,7,9,10,11],[2,5,6,8,9,10,14],[2,5,7,8,9,12,13],[2,6,7,8,10,11,13],[3,4,5,7,10,11,13],[3,4,5,8,9,11,14],[3,4,6,7,9,12,13],[3,4,6,8,10,12,14],[3,5,6,9,11,13,14],[4,5,8,10,11,12,13]]; G[10716]:=Group([(2,14)(3,7)(4,13)(5,10)(6,9)]); # Design 10717: autom. group order 2, simple B[10717]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,11,13],[1,2,4,5,10,13,14],[1,2,4,11,12,13,14],[1,3,5,7,10,12,14],[1,3,7,8,11,12,14],[1,4,6,7,9,10,11],[1,4,6,9,12,13,14],[1,5,6,8,9,10,14],[1,5,7,8,9,12,13],[1,6,7,8,10,11,13],[2,3,6,8,10,12,13],[2,3,7,9,10,13,14],[2,4,5,7,8,9,12],[2,4,6,7,8,11,14],[2,5,6,7,8,13,14],[2,5,6,9,10,11,12],[2,7,9,10,11,12,14],[3,4,5,7,10,11,13],[3,4,5,8,9,11,14],[3,4,6,7,9,12,13],[3,4,6,8,10,12,14],[3,5,6,9,11,13,14],[4,5,8,10,11,12,13]]; G[10717]:=Group([(1,14)(3,7)(4,13)(5,10)(6,9)]); # Design 10718: autom. group order 2, simple, residual B[10718]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,11,12,13],[1,2,4,5,10,12,14],[1,2,4,11,12,13,14],[1,3,5,7,10,13,14],[1,3,7,8,11,13,14],[1,4,6,7,9,10,13],[1,4,6,8,9,12,14],[1,5,6,9,10,11,14],[1,5,7,8,9,12,13],[1,6,7,8,10,11,12],[2,3,6,8,10,12,13],[2,3,7,9,10,12,14],[2,4,5,7,8,9,13],[2,4,6,7,11,13,14],[2,5,6,7,8,12,14],[2,5,6,9,10,11,13],[2,7,8,9,10,11,14],[3,4,5,7,10,11,12],[3,4,5,8,9,11,14],[3,4,6,7,9,11,12],[3,4,6,8,10,13,14],[3,5,6,9,12,13,14],[4,5,8,10,11,12,13]]; G[10718]:=Group([(1,14)(3,7)(4,12)(5,10)(6,9)]); # Design 10719: autom. group order 2, simple, residual B[10719]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,7,9,12,13],[1,2,4,5,12,13,14],[1,2,4,10,11,12,14],[1,3,5,10,11,13,14],[1,3,7,8,10,12,13],[1,4,6,7,8,10,14],[1,4,6,9,10,11,13],[1,5,6,7,9,11,12],[1,5,7,8,9,11,14],[1,6,8,9,12,13,14],[2,3,6,7,9,10,14],[2,3,8,9,11,12,14],[2,4,5,7,9,13,14],[2,4,6,8,9,11,13],[2,5,6,8,10,12,14],[2,5,7,8,10,11,13],[2,6,7,10,11,12,13],[3,4,5,6,8,12,13],[3,4,5,9,10,11,12],[3,4,6,7,11,12,14],[3,4,7,8,11,13,14],[3,5,6,9,10,13,14],[4,5,7,8,9,10,12]]; G[10719]:=Group([(1,9)(2,10)(3,4)(6,12)(7,11)]); # Design 10720: autom. group order 2, simple, residual B[10720]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,7,8,11,13],[1,2,4,5,9,13,14],[1,2,4,10,12,13,14],[1,3,5,8,9,10,12],[1,3,7,10,11,13,14],[1,4,6,7,9,10,11],[1,4,6,9,11,12,14],[1,5,6,7,8,10,14],[1,5,8,9,11,12,13],[1,6,7,8,12,13,14],[2,3,6,8,9,13,14],[2,3,7,9,11,12,14],[2,4,5,7,8,12,14],[2,4,6,8,10,11,13],[2,5,6,10,11,12,13],[2,5,7,9,10,11,14],[2,6,7,8,9,10,12],[3,4,5,6,8,11,14],[3,4,5,7,10,12,13],[3,4,6,7,9,12,13],[3,4,8,10,11,12,14],[3,5,6,9,10,13,14],[4,5,7,8,9,11,13]]; G[10720]:=Group([(1,11)(2,8)(3,13)(6,9)]); # Design 10721: autom. group order 2, simple, residual B[10721]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,13,14],[1,2,4,5,7,9,13],[1,2,4,10,11,12,14],[1,3,5,10,12,13,14],[1,3,7,8,9,12,14],[1,4,6,7,10,11,14],[1,4,6,8,9,12,13],[1,5,6,8,9,11,14],[1,5,7,8,10,12,13],[1,6,7,9,10,11,13],[2,3,6,9,10,12,13],[2,3,7,9,11,13,14],[2,4,5,8,9,10,14],[2,4,6,8,11,12,13],[2,5,6,7,8,12,14],[2,5,7,9,10,11,12],[2,6,7,8,10,13,14],[3,4,5,6,10,13,14],[3,4,5,7,8,11,13],[3,4,6,7,9,12,14],[3,4,7,8,10,11,12],[3,5,6,8,9,10,11],[4,5,9,11,12,13,14]]; G[10721]:=Group([(2,11)(3,14)(4,6)(5,10)]); # Design 10722: autom. group order 2, simple, residual B[10722]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,12,13,14],[1,2,4,5,11,12,13],[1,2,4,7,10,12,14],[1,3,5,7,10,11,14],[1,3,7,8,9,12,14],[1,4,6,7,9,11,13],[1,4,6,8,9,10,13],[1,5,6,8,12,13,14],[1,5,9,10,11,13,14],[1,6,7,8,10,11,12],[2,3,6,10,11,13,14],[2,3,7,8,9,11,13],[2,4,5,7,8,13,14],[2,4,6,9,11,12,14],[2,5,6,7,9,10,12],[2,5,8,9,10,11,12],[2,6,7,8,10,13,14],[3,4,5,6,9,10,14],[3,4,5,8,10,12,13],[3,4,6,8,11,12,14],[3,4,7,10,11,12,13],[3,5,6,7,9,12,13],[4,5,7,8,9,11,14]]; G[10722]:=Group([(1,12)(2,13)(4,5)(6,10)(7,8)]); # Design 10723: autom. group order 2, simple, residual B[10723]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,11,12,13,14],[1,2,4,5,9,12,13],[1,2,4,7,10,12,14],[1,3,5,7,9,10,14],[1,3,7,8,11,12,14],[1,4,6,7,9,11,13],[1,4,6,8,10,11,13],[1,5,6,8,12,13,14],[1,5,9,10,11,13,14],[1,6,7,8,9,10,12],[2,3,6,9,10,13,14],[2,3,7,8,9,11,13],[2,4,5,7,8,13,14],[2,4,6,9,11,12,14],[2,5,6,7,10,11,12],[2,5,8,9,10,11,12],[2,6,7,8,10,13,14],[3,4,5,6,10,11,14],[3,4,5,8,10,12,13],[3,4,6,8,9,12,14],[3,4,7,10,11,12,13],[3,5,6,7,9,12,13],[4,5,7,8,9,11,14]]; G[10723]:=Group([(1,12)(2,13)(4,5)(6,10)(7,8)]); # Design 10724: autom. group order 2, simple, residual B[10724]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,11,12,13,14],[1,2,4,5,9,12,13],[1,2,4,7,10,12,14],[1,3,5,7,10,11,14],[1,3,7,8,9,12,14],[1,4,6,7,9,11,13],[1,4,6,8,10,11,13],[1,5,6,8,12,13,14],[1,5,9,10,11,13,14],[1,6,7,8,9,10,12],[2,3,6,9,10,13,14],[2,3,7,8,9,11,13],[2,4,5,7,8,13,14],[2,4,6,9,11,12,14],[2,5,6,7,10,11,12],[2,5,8,9,10,11,12],[2,6,7,8,10,13,14],[3,4,5,6,9,10,14],[3,4,5,8,10,12,13],[3,4,6,8,11,12,14],[3,4,7,10,11,12,13],[3,5,6,7,9,12,13],[4,5,7,8,9,11,14]]; G[10724]:=Group([(1,12)(2,13)(4,5)(6,10)(7,8)]); # Design 10725: autom. group order 2, simple, residual B[10725]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,7,9,12,13],[1,2,4,5,10,12,14],[1,2,4,8,11,13,14],[1,3,5,9,11,13,14],[1,3,7,8,10,12,14],[1,4,6,9,11,12,14],[1,4,7,9,10,11,13],[1,5,6,7,12,13,14],[1,5,6,8,9,10,13],[1,6,7,8,10,11,12],[2,3,6,9,10,12,14],[2,3,7,10,11,13,14],[2,4,5,7,8,12,13],[2,4,6,10,11,12,13],[2,5,6,7,9,10,11],[2,5,8,9,11,12,14],[2,6,7,8,9,13,14],[3,4,5,6,10,13,14],[3,4,5,7,9,11,12],[3,4,6,7,8,11,14],[3,4,6,8,9,12,13],[3,5,8,10,11,12,13],[4,5,7,8,9,10,14]]; G[10725]:=Group([(2,12)(3,7)(4,14)(5,10)(6,8)(9,13)]); # Design 10726: autom. group order 2, simple B[10726]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,9,12,13,14],[1,2,4,5,11,12,13],[1,2,4,7,9,10,14],[1,3,5,7,8,12,14],[1,3,7,10,11,13,14],[1,4,6,8,11,13,14],[1,4,7,8,9,11,12],[1,5,6,7,10,12,13],[1,5,6,9,10,11,14],[1,6,8,9,10,12,13],[2,3,6,7,9,11,13],[2,3,8,10,11,12,13],[2,4,5,8,10,13,14],[2,4,6,7,12,13,14],[2,5,6,8,9,12,14],[2,5,7,9,10,11,12],[2,6,7,8,10,11,14],[3,4,5,6,9,10,13],[3,4,5,10,11,12,14],[3,4,6,7,8,10,12],[3,4,6,9,11,12,14],[3,5,7,8,9,13,14],[4,5,7,8,9,11,13]]; G[10726]:=Group([(3,4)(5,9)(6,10)(7,8)(11,14)]); # Design 10727: autom. group order 2, simple, residual B[10727]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,13,14],[1,2,4,5,10,13,14],[1,2,4,6,8,11,12],[1,3,5,7,9,11,13],[1,3,6,7,10,11,13],[1,4,7,9,11,12,14],[1,4,8,10,11,13,14],[1,5,6,9,10,12,14],[1,5,7,8,9,10,12],[1,6,7,8,12,13,14],[2,3,7,10,11,12,14],[2,3,8,9,12,13,14],[2,4,5,7,9,12,13],[2,4,6,7,10,12,13],[2,5,6,9,10,11,14],[2,5,7,8,11,13,14],[2,6,7,8,9,10,11],[3,4,5,6,11,12,14],[3,4,5,7,8,10,14],[3,4,6,7,8,9,14],[3,4,9,10,11,12,13],[3,5,6,8,10,12,13],[4,5,6,8,9,11,13]]; G[10727]:=Group([(1,2)(3,4)(5,6)(9,10)(11,12)]); # Design 10728: autom. group order 2, simple, residual B[10728]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,13,14],[1,2,4,5,10,13,14],[1,2,4,6,8,11,12],[1,3,5,7,9,11,13],[1,3,6,7,10,11,13],[1,4,7,9,11,12,14],[1,4,8,10,11,13,14],[1,5,6,9,10,12,14],[1,5,7,8,12,13,14],[1,6,7,8,9,10,12],[2,3,7,10,11,12,14],[2,3,8,9,12,13,14],[2,4,5,7,9,12,13],[2,4,6,7,10,12,13],[2,5,6,9,10,11,14],[2,5,7,8,9,10,11],[2,6,7,8,11,13,14],[3,4,5,6,11,12,14],[3,4,5,7,8,10,14],[3,4,6,7,8,9,14],[3,4,9,10,11,12,13],[3,5,6,8,10,12,13],[4,5,6,8,9,11,13]]; G[10728]:=Group([(1,2)(3,4)(5,6)(9,10)(11,12)]); # Design 10729: autom. group order 2, simple, residual B[10729]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,13,14],[1,2,4,5,10,11,13],[1,2,4,6,9,12,14],[1,3,5,7,10,12,14],[1,3,7,8,9,11,13],[1,4,6,7,8,11,12],[1,4,7,8,10,13,14],[1,5,6,7,9,10,11],[1,5,8,9,12,13,14],[1,6,10,11,12,13,14],[2,3,6,7,11,13,14],[2,3,7,8,10,12,14],[2,4,5,8,11,13,14],[2,4,7,9,10,12,13],[2,5,6,7,8,12,13],[2,5,7,9,10,11,14],[2,6,8,9,10,11,12],[3,4,5,6,10,12,13],[3,4,5,9,11,12,14],[3,4,6,8,10,11,14],[3,4,7,9,11,12,13],[3,5,6,8,9,10,13],[4,5,6,7,8,9,14]]; G[10729]:=Group([(2,14)(3,13)(4,12)(5,10)(7,11)]); # Design 10730: autom. group order 2, simple B[10730]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,11,13,14],[1,2,4,5,9,12,13],[1,2,4,7,8,13,14],[1,3,5,6,10,12,14],[1,3,6,7,9,10,11],[1,4,6,7,9,12,14],[1,4,6,8,10,11,13],[1,5,7,8,9,11,14],[1,5,9,10,12,13,14],[1,7,8,10,11,12,13],[2,3,7,9,10,13,14],[2,3,8,9,11,12,14],[2,4,5,7,10,11,12],[2,4,6,10,11,12,14],[2,5,6,7,9,11,13],[2,5,6,8,10,13,14],[2,6,7,8,9,10,12],[3,4,5,7,8,10,14],[3,4,5,9,10,11,13],[3,4,6,8,9,12,13],[3,4,7,11,12,13,14],[3,5,6,7,8,12,13],[4,5,6,8,9,11,14]]; G[10730]:=Group([(2,3)(4,6)(8,11)(9,14)(10,13)]); # Design 10731: autom. group order 2, simple, residual B[10731]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,4,5,9,12,14],[1,2,4,7,10,13,14],[1,3,5,6,7,9,12],[1,3,7,8,9,10,11],[1,4,6,7,11,13,14],[1,4,6,8,10,12,13],[1,5,6,8,10,12,13],[1,5,8,9,11,13,14],[1,7,9,10,11,12,14],[2,3,6,9,10,13,14],[2,3,7,8,12,13,14],[2,4,5,8,9,11,13],[2,4,6,9,10,11,12],[2,5,6,7,8,10,11],[2,5,7,8,10,12,14],[2,6,7,9,11,12,13],[3,4,5,7,10,11,13],[3,4,5,10,11,12,14],[3,4,6,8,11,12,14],[3,4,7,8,9,12,13],[3,5,6,9,10,13,14],[4,5,6,7,8,9,14]]; G[10731]:=Group([(1,9)(2,4)(3,8)(6,13)(7,11)(12,14)]); # Design 10732: autom. group order 2, simple, residual B[10732]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,4,5,9,12,14],[1,2,4,7,10,13,14],[1,3,5,6,7,10,12],[1,3,8,9,12,13,14],[1,4,6,7,8,9,13],[1,4,6,8,11,12,13],[1,5,6,9,10,11,14],[1,5,7,9,10,11,13],[1,7,8,10,11,12,14],[2,3,6,9,10,12,13],[2,3,7,8,9,10,11],[2,4,5,8,10,11,13],[2,4,6,10,11,12,14],[2,5,6,7,8,13,14],[2,5,7,8,9,12,14],[2,6,7,9,11,12,13],[3,4,5,7,8,11,12],[3,4,5,9,11,13,14],[3,4,6,7,9,11,14],[3,4,7,10,12,13,14],[3,5,6,8,10,13,14],[4,5,6,8,9,10,12]]; G[10732]:=Group([(1,4)(3,10)(5,14)(6,13)]); # Design 10733: autom. group order 2, simple B[10733]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,4,5,9,12,14],[1,2,4,7,11,13,14],[1,3,5,6,9,10,13],[1,3,7,8,10,11,12],[1,4,6,7,10,13,14],[1,4,6,8,10,12,13],[1,5,6,7,9,11,12],[1,5,8,9,10,11,14],[1,7,8,9,12,13,14],[2,3,6,7,8,9,13],[2,3,9,10,12,13,14],[2,4,5,7,8,10,12],[2,4,6,9,10,11,12],[2,5,6,8,12,13,14],[2,5,7,8,10,11,13],[2,6,7,9,10,11,14],[3,4,5,7,8,9,14],[3,4,5,10,11,13,14],[3,4,6,8,11,12,14],[3,4,7,9,11,12,13],[3,5,6,7,10,12,14],[4,5,6,8,9,11,13]]; G[10733]:=Group([(1,13)(2,11)(3,5)(6,10)(7,14)]); # Design 10734: autom. group order 2, simple, residual B[10734]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,13,14],[1,2,4,5,10,11,13],[1,2,4,7,8,13,14],[1,3,5,6,10,12,14],[1,3,7,9,11,12,13],[1,4,6,7,8,9,12],[1,4,6,9,10,11,12],[1,5,6,7,11,13,14],[1,5,7,8,10,12,14],[1,8,9,10,11,13,14],[2,3,6,8,10,11,14],[2,3,7,9,11,12,14],[2,4,5,9,12,13,14],[2,4,7,10,11,12,14],[2,5,6,7,8,9,11],[2,5,6,9,10,12,13],[2,6,7,8,10,12,13],[3,4,5,7,9,10,14],[3,4,5,8,11,12,13],[3,4,6,7,10,11,13],[3,4,6,8,12,13,14],[3,5,7,8,9,10,13],[4,5,6,8,9,11,14]]; G[10734]:=Group([(2,13)(3,11)(4,14)(5,9)(6,10)(7,8)]); # Design 10735: autom. group order 2, simple B[10735]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,7,13,14],[1,2,4,5,9,11,13],[1,2,4,10,12,13,14],[1,3,5,6,9,10,14],[1,3,7,8,12,13,14],[1,4,6,7,8,10,11],[1,4,6,9,11,12,13],[1,5,7,8,9,10,13],[1,5,7,10,11,12,14],[1,6,8,9,11,12,14],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,5,6,8,12,14],[2,4,7,9,10,12,14],[2,5,6,7,8,9,12],[2,5,7,9,11,13,14],[2,6,7,8,10,11,13],[3,4,5,7,10,11,12],[3,4,5,8,11,13,14],[3,4,6,7,9,11,14],[3,4,7,8,9,12,13],[3,5,6,9,10,12,13],[4,5,6,8,10,13,14]]; G[10735]:=Group([(2,12)(3,11)(4,14)(5,8)(7,9)]); # Design 10736: autom. group order 2, simple B[10736]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,5,11,13,14],[1,2,4,7,10,13,14],[1,3,5,6,10,12,14],[1,3,7,8,11,12,14],[1,4,6,7,9,12,14],[1,4,6,9,10,11,12],[1,5,7,8,9,10,13],[1,5,7,8,9,12,13],[1,6,8,10,11,13,14],[2,3,6,7,8,9,14],[2,3,7,10,12,13,14],[2,4,5,6,8,12,13],[2,4,7,8,10,11,12],[2,5,6,8,9,10,14],[2,5,9,10,11,12,14],[2,6,7,9,11,12,13],[3,4,5,7,9,10,11],[3,4,5,9,12,13,14],[3,4,6,8,10,12,13],[3,4,8,9,11,13,14],[3,5,6,7,10,11,13],[4,5,6,7,8,11,14]]; G[10736]:=Group([(1,8)(2,14)(3,11)(4,6)(5,7)(9,13)]); # Design 10737: autom. group order 2, simple B[10737]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,5,10,13,14],[1,2,4,9,11,12,14],[1,3,5,6,7,8,14],[1,3,7,10,11,12,14],[1,4,6,7,10,11,13],[1,4,6,8,9,12,13],[1,5,7,8,9,10,12],[1,5,7,9,11,13,14],[1,6,8,10,12,13,14],[2,3,6,7,10,12,13],[2,3,7,9,12,13,14],[2,4,5,7,8,12,13],[2,4,7,8,10,11,14],[2,5,6,8,11,13,14],[2,5,6,9,10,12,14],[2,6,7,8,9,10,11],[3,4,5,6,9,10,14],[3,4,5,10,11,12,13],[3,4,6,8,11,12,14],[3,4,7,8,9,13,14],[3,5,8,9,10,11,13],[4,5,6,7,9,11,12]]; G[10737]:=Group([(1,11)(2,12)(6,10)(7,13)(9,14)]); # Design 10738: autom. group order 2, simple, residual B[10738]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,7,13,14],[1,2,4,5,9,11,13],[1,2,4,10,12,13,14],[1,3,5,6,9,10,14],[1,3,7,8,12,13,14],[1,4,6,7,8,10,11],[1,4,6,9,11,12,13],[1,5,7,8,9,10,13],[1,5,7,10,11,12,14],[1,6,8,9,11,12,14],[2,3,7,9,10,11,12],[2,3,8,9,11,13,14],[2,4,5,6,8,12,14],[2,4,7,9,10,12,14],[2,5,6,7,9,11,14],[2,5,6,8,10,12,13],[2,6,7,8,10,11,13],[3,4,5,7,11,12,13],[3,4,5,8,10,11,14],[3,4,6,7,8,9,12],[3,4,6,10,11,13,14],[3,5,6,9,10,12,13],[4,5,7,8,9,13,14]]; G[10738]:=Group([(2,12)(3,11)(4,14)(5,8)(7,9)]); # Design 10739: autom. group order 2, simple, residual B[10739]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,4,5,9,10,12],[1,2,4,7,8,13,14],[1,3,5,6,9,13,14],[1,3,7,9,10,11,14],[1,4,6,7,9,11,12],[1,4,8,10,11,12,13],[1,5,6,7,8,10,11],[1,5,7,10,12,13,14],[1,6,8,9,12,13,14],[2,3,6,8,10,12,13],[2,3,7,9,11,12,13],[2,4,5,6,11,12,14],[2,4,6,7,10,13,14],[2,5,7,8,9,12,14],[2,5,8,9,10,11,14],[2,6,7,9,10,11,13],[3,4,5,7,8,9,13],[3,4,5,10,11,13,14],[3,4,6,9,10,12,14],[3,4,7,8,11,12,14],[3,5,6,7,8,10,12],[4,5,6,8,9,11,13]]; G[10739]:=Group([(2,13)(3,12)(4,14)(6,10)]); # Design 10740: autom. group order 2, simple, residual B[10740]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,5,8,13,14],[1,2,4,7,10,12,14],[1,3,5,6,10,12,13],[1,3,7,10,11,12,14],[1,4,6,8,9,12,14],[1,4,7,9,10,11,13],[1,5,6,7,9,11,14],[1,5,7,8,9,12,13],[1,6,8,10,11,13,14],[2,3,6,7,12,13,14],[2,3,7,8,9,11,14],[2,4,5,6,10,11,14],[2,4,6,9,11,12,13],[2,5,7,8,10,11,13],[2,5,9,10,12,13,14],[2,6,7,8,9,10,12],[3,4,5,7,9,13,14],[3,4,5,9,10,11,12],[3,4,6,7,8,10,13],[3,4,8,11,12,13,14],[3,5,6,8,9,10,14],[4,5,6,7,8,11,12]]; G[10740]:=Group([(1,11)(2,12)(5,8)(6,14)(7,13)(9,10)]); # Design 10741: autom. group order 2, simple, residual B[10741]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,5,8,13,14],[1,2,4,7,10,12,14],[1,3,5,6,10,12,13],[1,3,7,9,10,11,14],[1,4,6,9,11,13,14],[1,4,7,8,9,12,13],[1,5,6,7,9,12,14],[1,5,7,8,10,11,13],[1,6,8,10,11,12,14],[2,3,6,8,9,12,14],[2,3,7,10,12,13,14],[2,4,5,6,10,11,14],[2,4,6,7,11,12,13],[2,5,7,8,9,11,14],[2,5,9,10,11,12,13],[2,6,7,8,9,10,13],[3,4,5,7,9,11,12],[3,4,5,9,10,13,14],[3,4,6,7,8,10,11],[3,4,8,11,12,13,14],[3,5,6,7,8,13,14],[4,5,6,8,9,10,12]]; G[10741]:=Group([(1,14)(2,13)(5,8)(6,12)(7,11)(9,10)]); # Design 10742: autom. group order 2, simple, residual B[10742]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,4,5,9,12,14],[1,2,4,7,10,11,13],[1,3,5,6,9,10,13],[1,3,7,10,11,12,14],[1,4,6,9,12,13,14],[1,4,7,8,10,13,14],[1,5,6,7,8,11,14],[1,5,8,9,10,11,12],[1,6,7,8,9,12,13],[2,3,6,8,10,12,13],[2,3,7,8,9,13,14],[2,4,5,6,7,8,12],[2,4,6,9,10,11,14],[2,5,7,10,12,13,14],[2,5,8,9,11,13,14],[2,6,7,9,10,11,12],[3,4,5,7,9,11,13],[3,4,5,8,10,12,14],[3,4,6,11,12,13,14],[3,4,7,8,9,11,12],[3,5,6,7,9,10,14],[4,5,6,8,10,11,13]]; G[10742]:=Group([(1,13)(2,11)(3,5)(6,9)]); # Design 10743: autom. group order 2, simple B[10743]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,5,10,12,14],[1,2,4,7,11,13,14],[1,3,5,6,12,13,14],[1,3,7,9,10,11,14],[1,4,6,8,9,13,14],[1,4,7,8,11,12,13],[1,5,6,7,9,10,12],[1,5,8,9,10,11,14],[1,6,7,8,10,12,13],[2,3,6,8,10,13,14],[2,3,7,9,10,12,13],[2,4,5,6,7,8,9],[2,4,6,10,11,12,14],[2,5,7,8,10,11,13],[2,5,8,9,12,13,14],[2,6,7,9,11,12,14],[3,4,5,7,10,13,14],[3,4,5,9,11,12,13],[3,4,6,8,10,11,12],[3,4,7,8,9,12,14],[3,5,6,7,8,11,14],[4,5,6,9,10,11,13]]; G[10743]:=Group([(1,7)(2,14)(4,11)(5,9)(6,10)]); # Design 10744: autom. group order 2, simple B[10744]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,11,13,14],[1,2,4,5,9,10,13],[1,2,4,7,11,12,13],[1,3,5,6,9,12,14],[1,3,7,8,10,11,14],[1,4,6,8,9,12,14],[1,4,7,8,12,13,14],[1,5,6,10,11,13,14],[1,5,7,8,9,10,11],[1,6,7,9,10,12,13],[2,3,6,8,10,12,13],[2,3,7,9,10,12,14],[2,4,5,6,7,10,14],[2,4,6,8,9,11,14],[2,5,7,9,11,12,14],[2,5,8,10,12,13,14],[2,6,7,8,9,11,13],[3,4,5,7,8,13,14],[3,4,5,9,11,12,13],[3,4,6,7,10,11,12],[3,4,9,10,11,13,14],[3,5,6,7,8,9,13],[4,5,6,8,10,11,12]]; G[10744]:=Group([(1,12)(2,11)(3,5)(6,9)(7,13)]); # Design 10745: autom. group order 2, simple B[10745]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,5,8,13,14],[1,2,4,7,10,12,14],[1,3,5,6,10,11,14],[1,3,7,9,10,12,13],[1,4,6,9,11,12,13],[1,4,7,8,9,11,14],[1,5,6,9,10,12,14],[1,5,7,8,10,11,13],[1,6,7,8,12,13,14],[2,3,6,8,12,13,14],[2,3,7,10,11,12,14],[2,4,5,6,7,9,12],[2,4,6,10,11,13,14],[2,5,7,9,11,13,14],[2,5,8,9,10,12,13],[2,6,7,8,9,10,11],[3,4,5,7,11,12,13],[3,4,5,9,10,13,14],[3,4,6,7,8,10,13],[3,4,8,9,11,12,14],[3,5,6,7,8,9,14],[4,5,6,8,10,11,12]]; G[10745]:=Group([(1,12)(2,11)(5,8)(6,14)(7,9)(10,13)]); # Design 10746: autom. group order 2, simple B[10746]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,11,13,14],[1,2,4,5,9,12,13],[1,2,4,7,10,11,14],[1,3,5,6,9,13,14],[1,3,7,9,10,12,14],[1,4,6,7,8,12,13],[1,4,8,9,11,12,14],[1,5,6,10,11,12,14],[1,5,7,8,9,10,13],[1,6,7,8,10,11,13],[2,3,6,7,9,10,12],[2,3,8,10,11,12,13],[2,4,5,6,8,10,14],[2,4,7,9,11,13,14],[2,5,6,7,8,9,11],[2,5,7,10,12,13,14],[2,6,8,9,12,13,14],[3,4,5,7,11,12,13],[3,4,5,8,10,13,14],[3,4,6,7,8,12,14],[3,4,6,9,10,11,13],[3,5,7,8,9,11,14],[4,5,6,9,10,11,12]]; G[10746]:=Group([(1,13)(3,14)(4,12)(5,9)(7,8)]); # Design 10747: autom. group order 2, simple B[10747]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,11,13,14],[1,2,4,5,9,12,13],[1,2,4,7,10,11,14],[1,3,5,6,9,10,14],[1,3,8,10,11,12,13],[1,4,6,7,8,10,12],[1,4,7,9,11,13,14],[1,5,6,7,8,9,11],[1,5,7,10,12,13,14],[1,6,8,9,12,13,14],[2,3,6,7,9,12,13],[2,3,7,9,10,12,14],[2,4,5,6,8,13,14],[2,4,8,9,11,12,14],[2,5,6,10,11,12,14],[2,5,7,8,9,10,13],[2,6,7,8,10,11,13],[3,4,5,7,11,12,13],[3,4,5,8,10,13,14],[3,4,6,7,8,12,14],[3,4,6,9,10,11,13],[3,5,7,8,9,11,14],[4,5,6,9,10,11,12]]; G[10747]:=Group([(2,13)(3,14)(4,12)(5,9)(7,8)]); # Design 10748: autom. group order 2, simple, residual B[10748]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,5,10,13,14],[1,2,4,7,9,12,14],[1,3,5,6,10,11,14],[1,3,7,8,9,13,14],[1,4,6,7,8,11,13],[1,4,10,11,12,13,14],[1,5,6,9,12,13,14],[1,5,7,8,9,10,12],[1,6,7,8,10,11,12],[2,3,6,7,10,12,14],[2,3,8,11,12,13,14],[2,4,5,7,8,11,14],[2,4,6,9,10,11,12],[2,5,6,8,9,10,13],[2,5,7,9,11,12,13],[2,6,7,8,10,13,14],[3,4,5,6,7,12,13],[3,4,5,8,10,12,13],[3,4,6,8,9,12,14],[3,4,7,9,10,11,13],[3,5,7,9,10,11,14],[4,5,6,8,9,11,14]]; G[10748]:=Group([(1,2)(3,4)(6,7)(8,10)(11,14)(12,13)]); # Design 10749: autom. group order 2, simple B[10749]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,11,13,14],[1,2,4,5,12,13,14],[1,2,4,7,9,11,13],[1,3,5,6,9,10,12],[1,3,7,8,10,12,13],[1,4,6,7,8,9,14],[1,4,8,10,11,12,14],[1,5,6,9,10,13,14],[1,5,7,9,11,12,14],[1,6,7,8,10,11,13],[2,3,6,8,9,11,14],[2,3,7,9,10,12,14],[2,4,5,7,8,10,14],[2,4,6,9,10,12,13],[2,5,6,7,8,12,13],[2,5,8,9,10,11,13],[2,6,7,10,11,12,14],[3,4,5,6,7,10,11],[3,4,5,10,11,13,14],[3,4,6,8,12,13,14],[3,4,7,9,11,12,13],[3,5,7,8,9,13,14],[4,5,6,8,9,11,12]]; G[10749]:=Group([(1,13)(2,14)(4,5)(6,11)(7,10)]); # Design 10750: autom. group order 2, simple, residual B[10750]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,5,10,13,14],[1,2,4,7,9,12,14],[1,3,5,6,10,12,14],[1,3,7,8,10,13,14],[1,4,6,8,9,12,13],[1,4,7,11,12,13,14],[1,5,6,7,9,10,11],[1,5,8,9,11,12,14],[1,6,7,8,10,11,13],[2,3,6,11,12,13,14],[2,3,7,9,10,12,13],[2,4,5,7,8,11,13],[2,4,6,8,10,11,12],[2,5,6,7,8,9,14],[2,5,9,10,11,13,14],[2,6,7,8,10,12,14],[3,4,5,6,8,13,14],[3,4,5,7,10,11,12],[3,4,6,7,9,11,14],[3,4,8,9,10,11,14],[3,5,7,8,9,12,13],[4,5,6,9,10,12,13]]; G[10750]:=Group([(1,2)(3,4)(6,7)(8,10)(11,14)(12,13)]); # Design 10751: autom. group order 2, simple, residual B[10751]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,5,12,13,14],[1,2,4,7,10,12,14],[1,3,5,7,8,9,14],[1,3,6,7,10,11,13],[1,4,6,8,9,13,14],[1,4,6,8,10,11,12],[1,5,6,7,9,10,12],[1,5,8,10,11,13,14],[1,7,9,11,12,13,14],[2,3,6,10,12,13,14],[2,3,7,8,10,13,14],[2,4,5,9,10,11,13],[2,4,6,7,9,11,14],[2,5,6,7,8,11,14],[2,5,6,8,9,12,13],[2,7,8,9,10,11,12],[3,4,5,7,11,12,13],[3,4,5,9,10,11,14],[3,4,6,8,11,12,14],[3,4,7,8,9,12,13],[3,5,6,9,10,12,14],[4,5,6,7,8,10,13]]; G[10751]:=Group([(2,13)(3,14)(4,11)(5,9)(6,12)]); # Design 10752: autom. group order 2, simple B[10752]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,11,13,14],[1,2,4,5,9,12,13],[1,2,4,7,10,11,14],[1,3,5,7,8,9,14],[1,3,6,7,10,12,13],[1,4,6,8,9,13,14],[1,4,6,8,10,11,12],[1,5,6,7,9,10,11],[1,5,8,10,12,13,14],[1,7,9,11,12,13,14],[2,3,6,9,10,12,13],[2,3,7,8,10,13,14],[2,4,5,10,11,13,14],[2,4,6,7,9,12,14],[2,5,6,7,8,12,14],[2,5,6,8,9,11,13],[2,7,8,9,10,11,12],[3,4,5,7,11,12,13],[3,4,5,9,10,12,14],[3,4,6,8,11,12,14],[3,4,7,8,9,11,13],[3,5,6,9,10,11,14],[4,5,6,7,8,10,13]]; G[10752]:=Group([(2,13)(3,14)(4,12)(5,9)(6,11)]); # Design 10753: autom. group order 2, simple, residual B[10753]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,11,12,13],[1,2,4,5,9,13,14],[1,2,4,10,11,13,14],[1,3,5,7,9,12,14],[1,3,6,7,8,10,14],[1,4,6,7,9,10,11],[1,4,6,8,12,13,14],[1,5,6,7,8,11,13],[1,5,9,10,11,12,14],[1,7,8,9,10,12,13],[2,3,6,9,10,12,13],[2,3,7,8,9,13,14],[2,4,5,7,8,10,12],[2,4,7,8,11,12,14],[2,5,6,7,10,13,14],[2,5,6,8,9,10,11],[2,6,7,9,11,12,14],[3,4,5,6,10,12,14],[3,4,5,7,9,11,13],[3,4,6,8,9,11,14],[3,4,7,10,11,12,13],[3,5,8,10,11,13,14],[4,5,6,8,9,12,13]]; G[10753]:=Group([(1,14)(3,7)(4,13)(5,9)(6,8)]); # Design 10754: autom. group order 2, simple B[10754]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,13,14],[1,2,4,5,10,11,13],[1,2,4,7,9,12,14],[1,3,5,7,10,12,14],[1,3,6,7,11,12,13],[1,4,6,7,8,9,11],[1,4,8,10,12,13,14],[1,5,6,8,9,10,12],[1,5,6,8,11,13,14],[1,7,9,10,11,13,14],[2,3,6,8,10,11,14],[2,3,9,10,11,12,13],[2,4,5,6,12,13,14],[2,4,7,8,11,12,13],[2,5,6,7,9,10,13],[2,5,7,8,9,11,14],[2,6,7,8,10,12,14],[3,4,5,7,10,11,14],[3,4,5,8,9,13,14],[3,4,6,7,8,10,13],[3,4,6,9,11,12,14],[3,5,7,8,9,12,13],[4,5,6,9,10,11,12]]; G[10754]:=Group([(2,13)(3,14)(4,11)(5,10)(6,9)]); # Design 10755: autom. group order 2, simple B[10755]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,5,10,13,14],[1,2,4,7,9,12,14],[1,3,5,7,10,11,14],[1,3,6,9,12,13,14],[1,4,6,8,10,11,13],[1,4,7,8,12,13,14],[1,5,6,7,8,11,14],[1,5,6,8,9,10,12],[1,7,9,10,11,12,13],[2,3,6,7,10,13,14],[2,3,7,8,11,12,13],[2,4,5,10,11,12,13],[2,4,6,8,9,11,14],[2,5,6,7,9,10,12],[2,5,6,8,12,13,14],[2,7,8,9,10,11,14],[3,4,5,7,8,9,13],[3,4,5,9,11,12,14],[3,4,6,7,8,10,12],[3,4,6,10,11,12,14],[3,5,8,9,10,13,14],[4,5,6,7,9,11,13]]; G[10755]:=Group([(1,2)(3,4)(5,9)(6,10)(7,8)(11,14)]); # Design 10756: autom. group order 2, simple, residual B[10756]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,11,13,14],[1,2,4,5,9,13,14],[1,2,4,7,11,12,13],[1,3,5,7,8,10,14],[1,3,6,7,9,10,13],[1,4,6,8,10,12,14],[1,4,7,9,10,11,12],[1,5,6,8,9,12,13],[1,5,6,10,11,12,14],[1,7,8,9,11,13,14],[2,3,6,7,9,12,14],[2,3,8,10,11,12,13],[2,4,5,9,10,11,14],[2,4,6,7,8,12,14],[2,5,6,9,10,12,13],[2,5,7,8,10,13,14],[2,6,7,8,9,10,11],[3,4,5,6,8,9,11],[3,4,5,7,10,12,13],[3,4,6,10,11,13,14],[3,4,8,9,12,13,14],[3,5,7,9,11,12,14],[4,5,6,7,8,11,13]]; G[10756]:=Group([(1,10)(3,9)(4,8)(5,11)(12,14)]); # Design 10757: autom. group order 2, simple B[10757]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,13,14],[1,2,4,5,10,11,13],[1,2,4,7,12,13,14],[1,3,5,7,9,10,14],[1,3,6,8,12,13,14],[1,4,6,7,8,9,11],[1,4,9,10,11,12,13],[1,5,6,7,8,10,13],[1,5,6,9,11,12,14],[1,7,8,10,11,12,14],[2,3,6,7,10,11,12],[2,3,8,10,11,13,14],[2,4,5,8,9,12,14],[2,4,6,7,8,11,14],[2,5,6,8,9,10,12],[2,5,7,9,11,13,14],[2,6,7,9,10,12,13],[3,4,5,6,11,12,13],[3,4,5,7,10,12,14],[3,4,6,9,10,11,14],[3,4,7,8,9,12,13],[3,5,7,8,9,11,13],[4,5,6,8,10,13,14]]; G[10757]:=Group([(2,12)(3,11)(4,14)(5,8)(6,10)]); # Design 10758: autom. group order 2, simple B[10758]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,11,12,14],[1,2,4,5,8,13,14],[1,2,4,9,10,11,14],[1,3,5,7,8,9,11],[1,3,6,7,8,13,14],[1,4,6,7,10,11,12],[1,4,7,9,12,13,14],[1,5,6,8,9,10,13],[1,5,6,9,10,12,14],[1,7,8,10,11,12,13],[2,3,6,7,9,10,13],[2,3,7,8,10,12,14],[2,4,5,7,10,11,13],[2,4,6,7,8,9,12],[2,5,6,8,9,11,12],[2,5,7,9,12,13,14],[2,6,8,10,11,13,14],[3,4,5,6,10,12,13],[3,4,5,8,10,12,14],[3,4,6,9,11,13,14],[3,4,8,9,11,12,13],[3,5,7,9,10,11,14],[4,5,6,7,8,11,14]]; G[10758]:=Group([(1,11)(2,7)(3,10)(4,5)(6,13)(8,14)]); # Design 10759: autom. group order 2, simple B[10759]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,11,12,14],[1,2,4,5,8,13,14],[1,2,4,7,9,10,11],[1,3,5,7,9,10,12],[1,3,6,8,9,13,14],[1,4,6,8,9,11,12],[1,4,7,11,12,13,14],[1,5,6,7,8,10,14],[1,5,9,10,11,13,14],[1,6,7,8,10,12,13],[2,3,6,8,10,11,13],[2,3,7,8,9,12,14],[2,4,5,6,10,12,14],[2,4,6,7,9,13,14],[2,5,6,9,10,12,13],[2,5,7,8,9,11,13],[2,7,8,10,11,12,14],[3,4,5,7,8,12,13],[3,4,5,8,10,11,14],[3,4,6,7,10,11,13],[3,4,9,10,12,13,14],[3,5,6,7,9,11,14],[4,5,6,8,9,11,12]]; G[10759]:=Group([(2,10)(3,7)(4,9)(6,12)(8,11)(13,14)]); # Design 10760: autom. group order 2, simple, residual B[10760]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,5,10,13,14],[1,2,4,7,9,12,14],[1,3,5,7,8,13,14],[1,3,6,11,12,13,14],[1,4,6,8,9,12,13],[1,4,7,8,10,11,13],[1,5,6,7,9,10,11],[1,5,9,10,11,12,14],[1,6,7,8,10,12,14],[2,3,6,8,10,12,14],[2,3,7,9,10,12,13],[2,4,5,6,10,11,12],[2,4,7,11,12,13,14],[2,5,6,7,8,9,14],[2,5,8,9,11,13,14],[2,6,7,8,10,11,13],[3,4,5,6,10,13,14],[3,4,5,7,8,11,12],[3,4,6,7,9,11,14],[3,4,8,9,10,11,14],[3,5,7,9,10,12,13],[4,5,6,8,9,12,13]]; G[10760]:=Group([(1,2)(3,4)(6,7)(8,10)(11,14)(12,13)]); # Design 10761: autom. group order 2, simple B[10761]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,11,12,13],[1,2,4,5,9,13,14],[1,2,4,10,11,13,14],[1,3,5,7,9,11,14],[1,3,6,7,8,10,13],[1,4,6,7,9,10,11],[1,4,7,8,12,13,14],[1,5,6,10,11,12,14],[1,5,7,8,9,12,13],[1,6,8,9,10,12,14],[2,3,6,8,9,13,14],[2,3,7,9,10,12,14],[2,4,5,6,8,10,12],[2,4,7,8,11,12,14],[2,5,6,7,10,13,14],[2,5,7,8,9,10,11],[2,6,7,9,11,12,13],[3,4,5,6,9,12,14],[3,4,5,7,10,12,13],[3,4,6,7,8,11,14],[3,4,9,10,11,12,13],[3,5,8,10,11,13,14],[4,5,6,8,9,11,13]]; G[10761]:=Group([(1,13)(3,6)(4,14)(5,9)(7,8)]); # Design 10762: autom. group order 2, simple, residual B[10762]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,9,11],[1,2,3,6,11,12,13],[1,2,4,5,10,12,14],[1,2,4,8,12,13,14],[1,3,5,7,10,13,14],[1,3,6,7,9,12,13],[1,4,6,7,8,10,13],[1,4,7,9,11,12,14],[1,5,6,8,11,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,14],[2,3,6,9,10,12,14],[2,3,7,10,11,13,14],[2,4,5,6,9,11,13],[2,4,7,9,11,13,14],[2,5,6,7,8,12,14],[2,5,7,8,9,10,13],[2,6,7,8,10,11,12],[3,4,5,6,10,11,14],[3,4,5,7,8,11,12],[3,4,6,7,8,9,14],[3,4,8,10,11,12,13],[3,5,8,9,12,13,14],[4,5,6,9,10,12,13]]; G[10762]:=Group([(1,12)(3,6)(4,14)(5,10)(7,9)]); # Design 10763: autom. group order 2, simple B[10763]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,11,13,14],[1,2,4,5,9,12,13],[1,2,4,10,11,13,14],[1,3,5,7,8,10,14],[1,3,6,9,10,12,13],[1,4,6,8,9,12,14],[1,4,7,10,11,12,14],[1,5,6,7,8,10,13],[1,5,7,9,11,12,14],[1,6,7,8,9,11,13],[2,3,6,7,10,11,12],[2,3,7,8,9,12,14],[2,4,5,6,7,9,11],[2,4,7,8,10,12,13],[2,5,6,8,12,13,14],[2,5,7,9,10,13,14],[2,6,8,9,10,11,14],[3,4,5,6,9,10,14],[3,4,5,8,11,13,14],[3,4,6,7,12,13,14],[3,4,7,8,9,11,13],[3,5,9,10,11,12,13],[4,5,6,8,10,11,12]]; G[10763]:=Group([(1,11)(2,12)(3,5)(4,10)(6,9)(7,13)]); # Design 10764: autom. group order 2, simple, residual B[10764]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,5,12,13,14],[1,2,4,7,10,11,14],[1,3,5,10,12,13,14],[1,3,6,7,9,11,14],[1,4,6,9,10,12,14],[1,4,7,8,11,12,13],[1,5,6,7,8,9,12],[1,5,7,8,9,10,13],[1,6,8,10,11,13,14],[2,3,6,8,10,12,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,14],[2,4,6,7,8,10,13],[2,5,6,7,10,11,12],[2,5,6,8,9,13,14],[2,7,9,11,12,13,14],[3,4,5,6,7,13,14],[3,4,5,9,10,11,13],[3,4,6,8,11,12,13],[3,4,7,8,9,12,14],[3,5,7,8,10,11,14],[4,5,6,9,10,11,12]]; G[10764]:=Group([(1,7)(2,14)(4,11)(5,9)]); # Design 10765: autom. group order 2, simple, residual B[10765]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,12],[1,2,4,5,9,11,14],[1,2,4,8,10,13,14],[1,3,5,7,10,12,14],[1,3,6,7,10,13,14],[1,4,6,7,9,10,11],[1,4,7,11,12,13,14],[1,5,6,8,9,12,14],[1,5,7,8,9,11,13],[1,6,8,9,10,12,13],[2,3,7,8,9,12,14],[2,3,9,10,11,13,14],[2,4,5,6,10,12,13],[2,4,6,7,9,12,14],[2,5,6,7,8,10,11],[2,5,7,9,10,12,13],[2,6,7,8,11,13,14],[3,4,5,6,8,13,14],[3,4,5,7,8,9,13],[3,4,6,9,11,12,13],[3,4,7,8,10,11,12],[3,5,6,9,10,11,14],[4,5,8,10,11,12,14]]; G[10765]:=Group([(1,11)(2,12)(5,13)(7,9)]); # Design 10766: autom. group order 2, simple, residual B[10766]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,12],[1,2,4,5,9,11,14],[1,2,4,8,10,13,14],[1,3,5,9,10,12,14],[1,3,6,7,10,13,14],[1,4,6,7,9,10,11],[1,4,7,11,12,13,14],[1,5,6,7,8,12,14],[1,5,7,8,9,11,13],[1,6,8,9,10,12,13],[2,3,7,8,9,12,14],[2,3,7,10,11,13,14],[2,4,5,6,10,12,13],[2,4,6,7,9,12,14],[2,5,6,7,8,10,11],[2,5,7,9,10,12,13],[2,6,8,9,11,13,14],[3,4,5,6,8,13,14],[3,4,5,7,8,9,13],[3,4,6,9,11,12,13],[3,4,7,8,10,11,12],[3,5,6,9,10,11,14],[4,5,8,10,11,12,14]]; G[10766]:=Group([(1,11)(2,12)(5,13)(7,9)]); # Design 10767: autom. group order 2, simple, residual B[10767]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,12],[1,2,4,5,9,11,14],[1,2,4,8,10,13,14],[1,3,5,9,10,12,14],[1,3,6,7,10,13,14],[1,4,6,9,10,12,13],[1,4,7,11,12,13,14],[1,5,6,7,8,10,12],[1,5,7,8,9,11,13],[1,6,7,8,9,11,14],[2,3,7,8,9,12,14],[2,3,7,10,11,13,14],[2,4,5,6,7,10,11],[2,4,6,7,9,12,14],[2,5,6,8,12,13,14],[2,5,7,9,10,12,13],[2,6,8,9,10,11,13],[3,4,5,6,8,13,14],[3,4,5,7,8,9,13],[3,4,6,9,11,12,13],[3,4,7,8,10,11,12],[3,5,6,9,10,11,14],[4,5,8,10,11,12,14]]; G[10767]:=Group([(1,11)(2,12)(5,13)(7,9)]); # Design 10768: autom. group order 2, simple, residual B[10768]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,12],[1,2,4,5,9,11,14],[1,2,4,8,10,13,14],[1,3,5,9,10,12,14],[1,3,6,7,10,13,14],[1,4,6,9,10,12,13],[1,4,7,11,12,13,14],[1,5,6,7,8,12,14],[1,5,7,8,9,11,13],[1,6,7,8,9,10,11],[2,3,7,8,9,12,14],[2,3,7,10,11,13,14],[2,4,5,6,7,10,11],[2,4,6,7,9,12,14],[2,5,6,8,10,12,13],[2,5,7,9,10,12,13],[2,6,8,9,11,13,14],[3,4,5,6,8,13,14],[3,4,5,7,8,9,13],[3,4,6,9,11,12,13],[3,4,7,8,10,11,12],[3,5,6,9,10,11,14],[4,5,8,10,11,12,14]]; G[10768]:=Group([(1,11)(2,12)(5,13)(7,9)]); # Design 10769: autom. group order 2, simple, residual B[10769]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,4,5,9,12,14],[1,2,4,7,10,13,14],[1,3,5,7,10,12,13],[1,3,7,8,11,12,14],[1,4,6,7,8,9,13],[1,4,6,8,11,12,13],[1,5,6,7,9,10,11],[1,5,6,9,10,11,14],[1,8,9,10,12,13,14],[2,3,6,9,10,12,13],[2,3,7,8,9,10,11],[2,4,5,8,10,11,13],[2,4,6,10,11,12,14],[2,5,6,7,8,13,14],[2,5,7,8,9,12,14],[2,6,7,9,11,12,13],[3,4,5,6,8,9,12],[3,4,5,9,11,13,14],[3,4,6,7,10,12,14],[3,4,7,9,11,13,14],[3,5,6,8,10,13,14],[4,5,7,8,10,11,12]]; G[10769]:=Group([(1,4)(3,10)(5,14)(6,13)]); # Design 10770: autom. group order 2, simple B[10770]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,11,13,14],[1,2,4,5,9,13,14],[1,2,4,7,11,12,13],[1,3,5,8,10,13,14],[1,3,7,9,10,12,14],[1,4,6,7,8,9,14],[1,4,6,10,11,12,14],[1,5,6,7,8,10,11],[1,5,6,9,10,12,13],[1,7,8,9,11,12,13],[2,3,6,7,8,9,12],[2,3,7,10,12,13,14],[2,4,5,9,10,11,12],[2,4,6,8,10,12,14],[2,5,6,7,9,10,13],[2,5,7,8,10,11,14],[2,6,8,9,11,13,14],[3,4,5,6,8,12,13],[3,4,5,7,9,11,14],[3,4,6,7,10,11,13],[3,4,8,9,10,11,13],[3,5,6,9,11,12,14],[4,5,7,8,12,13,14]]; G[10770]:=Group([(1,2)(3,4)(6,7)(8,9)(11,13)(12,14)]); # Design 10771: autom. group order 2, simple, residual B[10771]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,9,11],[1,2,3,6,11,12,13],[1,2,4,5,10,12,14],[1,2,4,11,12,13,14],[1,3,5,7,10,13,14],[1,3,7,8,11,13,14],[1,4,6,7,8,10,13],[1,4,6,8,9,12,14],[1,5,6,7,9,12,13],[1,5,6,9,10,11,14],[1,7,8,9,10,11,12],[2,3,6,8,10,12,13],[2,3,7,9,10,12,14],[2,4,5,7,8,9,13],[2,4,7,9,11,13,14],[2,5,6,7,8,12,14],[2,5,6,9,10,11,13],[2,6,7,8,10,11,14],[3,4,5,6,8,11,14],[3,4,5,7,10,11,12],[3,4,6,7,9,11,12],[3,4,6,9,10,13,14],[3,5,8,9,12,13,14],[4,5,8,10,11,12,13]]; G[10771]:=Group([(1,14)(3,7)(4,12)(5,10)(6,9)]); # Design 10772: autom. group order 2, simple, residual B[10772]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,9,11],[1,2,3,6,10,12,13],[1,2,4,5,12,13,14],[1,2,4,8,11,12,14],[1,3,5,7,10,11,14],[1,3,7,9,11,12,13],[1,4,6,7,9,11,12],[1,4,7,8,10,13,14],[1,5,6,7,9,10,14],[1,5,6,8,10,12,13],[1,6,8,9,11,13,14],[2,3,6,10,11,13,14],[2,3,7,9,12,13,14],[2,4,5,6,7,11,13],[2,4,6,9,10,11,14],[2,5,7,8,9,13,14],[2,5,7,8,10,11,12],[2,6,7,8,9,10,12],[3,4,5,6,8,9,13],[3,4,5,9,10,12,14],[3,4,6,7,8,12,14],[3,4,7,8,10,11,13],[3,5,6,8,11,12,14],[4,5,9,10,11,12,13]]; G[10772]:=Group([(1,14)(2,12)(6,9)(7,10)]); # Design 10773: autom. group order 2, simple, residual B[10773]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,4,5,9,12,14],[1,2,4,10,11,13,14],[1,3,5,7,8,10,13],[1,3,7,8,9,11,12],[1,4,6,8,9,10,13],[1,4,7,8,12,13,14],[1,5,6,7,10,11,14],[1,5,6,9,10,11,12],[1,6,7,9,12,13,14],[2,3,6,7,9,10,14],[2,3,7,10,12,13,14],[2,4,5,6,7,8,12],[2,4,7,9,10,11,12],[2,5,6,8,9,13,14],[2,5,7,8,9,11,13],[2,6,8,10,11,12,13],[3,4,5,6,10,12,13],[3,4,5,9,11,13,14],[3,4,6,7,9,11,13],[3,4,6,8,11,12,14],[3,5,8,9,10,12,14],[4,5,7,8,10,11,14]]; G[10773]:=Group([(2,3)(4,8)(5,11)(7,14)]); # Design 10774: autom. group order 2, simple, residual B[10774]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,5,12,13,14],[1,2,4,10,11,13,14],[1,3,5,7,9,10,14],[1,3,7,9,11,12,14],[1,4,6,8,9,10,14],[1,4,7,8,9,12,13],[1,5,6,7,10,11,13],[1,5,6,8,10,11,12],[1,6,7,8,12,13,14],[2,3,6,7,8,10,13],[2,3,7,10,12,13,14],[2,4,5,6,7,9,12],[2,4,7,8,10,11,12],[2,5,6,8,9,13,14],[2,5,7,8,9,11,14],[2,6,9,10,11,12,14],[3,4,5,6,10,12,14],[3,4,5,8,11,13,14],[3,4,6,7,8,11,14],[3,4,6,9,11,12,13],[3,5,8,9,10,12,13],[4,5,7,9,10,11,13]]; G[10774]:=Group([(2,3)(4,9)(5,11)(7,13)]); # Design 10775: autom. group order 2, simple, residual B[10775]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,7,11],[1,2,3,8,11,12,13],[1,2,4,5,9,12,14],[1,2,4,10,11,12,13],[1,3,5,10,12,13,14],[1,3,6,8,9,13,14],[1,4,6,7,9,10,13],[1,4,7,8,11,13,14],[1,5,6,8,9,11,12],[1,5,7,9,10,11,14],[1,6,7,8,10,12,14],[2,3,6,9,10,12,14],[2,3,7,8,10,11,14],[2,4,6,7,12,13,14],[2,4,6,8,9,11,14],[2,5,6,10,11,13,14],[2,5,7,8,9,10,13],[2,5,7,8,9,12,13],[3,4,5,6,8,10,13],[3,4,5,7,8,12,14],[3,4,5,9,11,13,14],[3,4,7,9,10,11,12],[3,6,7,9,11,12,13],[4,5,6,8,10,11,12]]; G[10775]:=Group([(1,9)(2,7)(3,13)(4,10)(6,8)(11,12)]); # Design 10776: autom. group order 2, simple B[10776]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,11,13,14],[1,2,4,5,9,12,13],[1,2,4,7,10,12,14],[1,3,5,7,8,9,11],[1,3,7,9,10,13,14],[1,4,6,9,11,13,14],[1,4,7,8,11,12,13],[1,5,6,8,10,13,14],[1,5,6,10,11,12,14],[1,6,7,8,9,10,12],[2,3,6,8,10,12,13],[2,3,9,10,11,12,14],[2,4,6,7,10,11,13],[2,4,6,8,9,11,14],[2,5,6,7,8,9,14],[2,5,7,8,10,11,13],[2,5,7,9,12,13,14],[3,4,5,6,9,10,13],[3,4,5,7,10,11,14],[3,4,5,8,12,13,14],[3,4,6,7,8,12,14],[3,6,7,9,11,12,13],[4,5,8,9,10,11,12]]; G[10776]:=Group([(2,14)(3,10)(4,13)(5,6)(7,8)(11,12)]); # Design 10777: autom. group order 2, simple, residual B[10777]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,11,12,13],[1,2,4,5,9,13,14],[1,2,4,7,11,13,14],[1,3,5,7,10,12,14],[1,3,6,7,8,10,14],[1,4,6,8,12,13,14],[1,4,7,9,10,11,12],[1,5,6,9,10,11,13],[1,5,8,9,10,12,13],[1,6,7,8,9,11,14],[2,3,6,9,10,13,14],[2,3,7,8,9,12,13],[2,4,6,7,9,10,12],[2,4,8,10,11,12,14],[2,5,6,7,8,9,11],[2,5,6,10,11,12,14],[2,5,7,8,10,13,14],[3,4,5,6,9,12,14],[3,4,5,7,10,11,13],[3,4,5,8,9,11,14],[3,4,6,8,10,11,13],[3,7,9,11,12,13,14],[4,5,6,7,8,12,13]]; G[10777]:=Group([(1,14)(3,10)(4,13)(6,8)]); # Design 10778: autom. group order 2, simple, residual B[10778]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,11,13,14],[1,2,4,5,9,12,13],[1,2,4,10,11,13,14],[1,3,5,7,8,9,14],[1,3,6,7,10,11,12],[1,4,6,8,9,12,13],[1,4,7,8,10,11,14],[1,5,6,10,12,13,14],[1,5,7,9,10,12,14],[1,6,7,8,9,11,13],[2,3,6,9,10,12,14],[2,3,7,8,10,12,13],[2,4,6,7,8,12,14],[2,4,7,9,11,12,14],[2,5,6,7,8,13,14],[2,5,6,8,9,10,11],[2,5,7,9,10,11,13],[3,4,5,6,9,11,14],[3,4,5,7,11,12,13],[3,4,5,8,10,13,14],[3,4,6,7,9,10,13],[3,8,9,11,12,13,14],[4,5,6,8,10,11,12]]; G[10778]:=Group([(1,14)(2,9)(4,12)(5,11)(6,8)(7,13)]); # Design 10779: autom. group order 2, simple, residual B[10779]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,9,11,13,14],[1,2,4,5,10,11,13],[1,2,4,6,12,13,14],[1,3,5,6,7,9,14],[1,3,7,8,10,12,14],[1,4,6,7,10,11,12],[1,4,8,9,11,12,14],[1,5,6,8,10,13,14],[1,5,7,9,10,12,13],[1,6,7,8,9,11,13],[2,3,6,7,10,11,14],[2,3,6,8,10,12,13],[2,4,6,7,8,9,12],[2,4,7,9,10,13,14],[2,5,6,9,11,12,14],[2,5,7,8,9,10,11],[2,5,7,8,12,13,14],[3,4,5,6,8,9,13],[3,4,5,7,11,12,13],[3,4,5,9,10,12,14],[3,4,7,8,11,13,14],[3,6,9,10,11,12,13],[4,5,6,8,10,11,14]]; G[10779]:=Group([(1,12)(3,6)(4,8)(5,13)(7,10)(11,14)]); # Design 10780: autom. group order 2, simple B[10780]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,8,9,11,14],[1,2,4,6,11,12,14],[1,2,4,10,12,13,14],[1,3,5,7,8,10,14],[1,3,5,9,10,12,13],[1,4,6,7,8,10,13],[1,4,6,8,9,11,13],[1,5,6,7,9,11,12],[1,5,7,8,11,13,14],[1,6,7,9,10,12,14],[2,3,6,7,8,12,14],[2,3,6,7,10,11,13],[2,4,5,7,8,9,12],[2,4,5,7,9,10,11],[2,5,6,8,9,13,14],[2,5,6,8,10,12,13],[2,7,9,10,11,13,14],[3,4,5,6,9,13,14],[3,4,5,6,10,11,14],[3,4,7,8,11,12,13],[3,4,7,9,12,13,14],[3,6,8,9,10,11,12],[4,5,8,10,11,12,14]]; G[10780]:=Group([(2,7)(3,6)(4,5)(8,12)(10,11)]); # Design 10781: autom. group order 2, simple, residual B[10781]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,11,13],[1,2,4,7,10,12,13],[1,2,4,11,12,13,14],[1,3,5,8,10,13,14],[1,3,6,7,9,12,14],[1,4,5,6,8,9,14],[1,4,5,7,9,10,11],[1,5,6,10,11,13,14],[1,6,7,8,10,12,13],[1,7,8,9,11,12,14],[2,3,5,7,8,12,14],[2,3,6,9,10,13,14],[2,4,5,8,10,12,14],[2,4,6,7,9,13,14],[2,5,6,9,10,11,12],[2,5,7,8,9,11,13],[2,6,7,8,10,11,14],[3,4,5,7,11,13,14],[3,4,6,7,8,10,11],[3,4,6,8,11,12,13],[3,4,9,10,11,12,14],[3,5,7,9,10,12,13],[4,5,6,8,9,12,13]]; G[10781]:=Group([(5,9)(6,8)(7,10)(12,13)]); # Design 10782: autom. group order 2, simple, residual B[10782]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,11,13],[1,2,4,7,10,12,13],[1,2,4,11,12,13,14],[1,3,5,8,10,12,14],[1,3,6,7,9,13,14],[1,4,5,6,8,9,14],[1,4,5,7,9,10,11],[1,5,6,10,11,13,14],[1,6,7,8,10,12,13],[1,7,8,9,11,12,14],[2,3,5,8,10,13,14],[2,3,6,7,9,12,14],[2,4,5,7,8,12,14],[2,4,6,9,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,9,11,13],[2,6,7,8,10,11,14],[3,4,5,7,11,13,14],[3,4,6,7,8,10,11],[3,4,6,8,11,12,13],[3,4,9,10,11,12,14],[3,5,7,9,10,12,13],[4,5,6,8,9,12,13]]; G[10782]:=Group([(5,9)(6,8)(7,10)(12,13)]); # Design 10783: autom. group order 2, simple, residual B[10783]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,11,13],[1,2,4,7,10,12,13],[1,2,4,11,12,13,14],[1,3,5,8,10,13,14],[1,3,6,7,9,12,14],[1,4,5,6,8,9,14],[1,4,5,7,9,10,11],[1,5,6,10,11,13,14],[1,6,7,8,10,12,13],[1,7,8,9,11,12,14],[2,3,5,8,10,12,14],[2,3,6,7,9,13,14],[2,4,5,7,8,12,14],[2,4,6,9,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,9,11,13],[2,6,7,8,10,11,14],[3,4,5,7,11,13,14],[3,4,6,7,8,10,11],[3,4,6,8,11,12,13],[3,4,9,10,11,12,14],[3,5,7,9,10,12,13],[4,5,6,8,9,12,13]]; G[10783]:=Group([(5,9)(6,8)(7,10)(12,13)]); # Design 10784: autom. group order 2, simple, residual B[10784]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,7,8,13,14],[1,2,4,9,10,13,14],[1,2,4,11,12,13,14],[1,3,5,7,9,11,13],[1,3,6,8,9,12,13],[1,4,5,6,9,12,14],[1,4,5,7,8,10,12],[1,5,7,9,10,11,14],[1,6,7,8,10,11,13],[1,6,8,10,11,12,14],[2,3,5,8,10,11,14],[2,3,6,7,10,12,14],[2,4,5,6,10,11,13],[2,4,6,7,8,9,11],[2,5,7,8,9,12,14],[2,5,8,9,11,12,13],[2,6,7,9,10,12,13],[3,4,5,8,10,12,13],[3,4,6,8,9,11,14],[3,4,7,9,10,11,12],[3,4,7,11,12,13,14],[3,5,6,9,10,13,14],[4,5,6,7,8,13,14]]; G[10784]:=Group([(1,2)(5,6)(9,10)(11,12)(13,14)]); # Design 10785: autom. group order 2, simple, residual B[10785]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,7,8,13,14],[1,2,4,9,10,13,14],[1,2,4,11,12,13,14],[1,3,5,7,9,11,13],[1,3,6,8,10,11,13],[1,4,5,6,9,12,14],[1,4,5,7,8,10,12],[1,5,7,9,10,11,14],[1,6,7,8,9,12,13],[1,6,8,10,11,12,14],[2,3,5,8,9,12,14],[2,3,6,7,10,12,14],[2,4,5,6,10,11,13],[2,4,6,7,8,9,11],[2,5,7,8,10,11,14],[2,5,8,9,11,12,13],[2,6,7,9,10,12,13],[3,4,5,8,10,12,13],[3,4,6,8,9,11,14],[3,4,7,9,10,11,12],[3,4,7,11,12,13,14],[3,5,6,9,10,13,14],[4,5,6,7,8,13,14]]; G[10785]:=Group([(1,2)(5,6)(9,10)(11,12)(13,14)]); # Design 10786: autom. group order 2, simple, residual B[10786]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,7,8,13,14],[1,2,4,9,10,13,14],[1,2,4,11,12,13,14],[1,3,5,7,9,11,13],[1,3,6,8,10,12,13],[1,4,5,6,9,12,14],[1,4,5,7,8,10,11],[1,5,7,9,10,12,14],[1,6,7,8,10,11,14],[1,6,8,9,11,12,13],[2,3,5,8,9,11,14],[2,3,6,7,10,12,14],[2,4,5,6,10,11,13],[2,4,6,7,8,9,12],[2,5,7,8,9,12,13],[2,5,8,10,11,12,14],[2,6,7,9,10,11,13],[3,4,5,8,10,12,13],[3,4,6,8,9,11,14],[3,4,7,9,10,11,12],[3,4,7,11,12,13,14],[3,5,6,9,10,13,14],[4,5,6,7,8,13,14]]; G[10786]:=Group([(1,2)(5,6)(9,10)(11,12)(13,14)]); # Design 10787: autom. group order 2, simple, residual B[10787]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,7,8,13,14],[1,2,4,9,10,13,14],[1,2,4,11,12,13,14],[1,3,5,7,9,11,13],[1,3,6,8,10,12,13],[1,4,5,6,10,11,13],[1,4,5,7,8,9,12],[1,5,7,8,10,12,14],[1,6,7,9,10,11,14],[1,6,8,9,11,12,14],[2,3,5,8,9,11,14],[2,3,6,7,10,12,14],[2,4,5,6,9,12,14],[2,4,6,7,8,10,11],[2,5,7,9,10,12,13],[2,5,8,10,11,12,13],[2,6,7,8,9,11,13],[3,4,5,8,10,11,14],[3,4,6,8,9,12,13],[3,4,7,9,10,11,12],[3,4,7,11,12,13,14],[3,5,6,9,10,13,14],[4,5,6,7,8,13,14]]; G[10787]:=Group([(1,2)(5,6)(9,10)(11,12)(13,14)]); # Design 10788: autom. group order 2, simple, residual B[10788]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,7,8,13,14],[1,2,4,9,10,13,14],[1,2,4,11,12,13,14],[1,3,5,8,9,11,13],[1,3,6,7,9,12,13],[1,4,5,6,9,11,14],[1,4,5,7,8,10,12],[1,5,7,9,10,12,14],[1,6,7,8,10,11,14],[1,6,8,10,11,12,13],[2,3,5,7,10,11,14],[2,3,6,8,10,12,14],[2,4,5,6,10,12,13],[2,4,6,7,8,9,11],[2,5,7,8,9,12,13],[2,5,8,9,11,12,14],[2,6,7,9,10,11,13],[3,4,5,8,10,11,13],[3,4,6,8,9,12,14],[3,4,7,9,10,11,12],[3,4,7,11,12,13,14],[3,5,6,9,10,13,14],[4,5,6,7,8,13,14]]; G[10788]:=Group([(1,2)(5,6)(9,10)(11,12)(13,14)]); # Design 10789: autom. group order 2, simple, residual B[10789]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,7,8,13,14],[1,2,4,9,10,13,14],[1,2,4,11,12,13,14],[1,3,5,8,9,11,13],[1,3,6,7,10,12,13],[1,4,5,6,10,11,13],[1,4,5,7,8,9,12],[1,5,7,8,10,12,14],[1,6,7,9,10,11,14],[1,6,8,9,11,12,14],[2,3,5,7,9,11,14],[2,3,6,8,10,12,14],[2,4,5,6,9,12,14],[2,4,6,7,8,10,11],[2,5,7,9,10,12,13],[2,5,8,10,11,12,13],[2,6,7,8,9,11,13],[3,4,5,8,10,11,14],[3,4,6,8,9,12,13],[3,4,7,9,10,11,12],[3,4,7,11,12,13,14],[3,5,6,9,10,13,14],[4,5,6,7,8,13,14]]; G[10789]:=Group([(1,2)(5,6)(9,10)(11,12)(13,14)]); # Design 10790: autom. group order 2, simple B[10790]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,13,14],[1,2,4,7,10,13,14],[1,2,4,11,12,13,14],[1,3,5,7,8,11,13],[1,3,6,9,10,12,13],[1,4,5,6,8,12,14],[1,4,5,7,9,10,12],[1,5,7,9,10,11,14],[1,6,7,8,9,11,13],[1,6,8,10,11,12,14],[2,3,5,8,10,11,14],[2,3,6,7,9,12,14],[2,4,5,6,9,11,13],[2,4,6,7,8,10,11],[2,5,7,8,9,12,14],[2,5,9,10,11,12,13],[2,6,7,8,10,12,13],[3,4,5,8,10,12,13],[3,4,6,9,10,11,14],[3,4,7,8,9,11,12],[3,4,7,11,12,13,14],[3,5,6,7,10,13,14],[4,5,6,8,9,13,14]]; G[10790]:=Group([(1,2)(5,6)(8,9)(11,12)(13,14)]); # Design 10791: autom. group order 2, simple B[10791]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,13,14],[1,2,4,7,10,13,14],[1,2,4,11,12,13,14],[1,3,5,8,10,11,13],[1,3,6,7,9,12,13],[1,4,5,6,9,11,13],[1,4,5,7,8,10,12],[1,5,7,9,10,12,14],[1,6,7,8,9,11,14],[1,6,8,10,11,12,14],[2,3,5,7,8,11,14],[2,3,6,9,10,12,14],[2,4,5,6,8,12,14],[2,4,6,7,9,10,11],[2,5,7,8,9,12,13],[2,5,9,10,11,12,13],[2,6,7,8,10,11,13],[3,4,5,9,10,11,14],[3,4,6,8,10,12,13],[3,4,7,8,9,11,12],[3,4,7,11,12,13,14],[3,5,6,7,10,13,14],[4,5,6,8,9,13,14]]; G[10791]:=Group([(1,2)(5,6)(8,9)(11,12)(13,14)]); # Design 10792: autom. group order 2, simple, residual B[10792]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,11,13],[1,2,4,7,10,12,13],[1,2,4,11,12,13,14],[1,3,5,7,8,12,14],[1,3,6,9,10,13,14],[1,4,5,6,8,9,14],[1,4,5,7,9,10,11],[1,5,9,11,12,13,14],[1,6,7,8,10,11,14],[1,6,7,8,10,12,13],[2,3,5,7,8,13,14],[2,3,6,9,10,12,14],[2,4,5,8,10,13,14],[2,4,6,7,9,12,14],[2,5,6,8,10,11,12],[2,5,7,9,10,11,14],[2,6,7,8,9,11,13],[3,4,5,6,10,11,13],[3,4,6,7,11,13,14],[3,4,7,8,9,11,12],[3,4,8,10,11,12,14],[3,5,7,9,10,12,13],[4,5,6,8,9,12,13]]; G[10792]:=Group([(5,9)(6,8)(7,10)(12,13)]); # Design 10793: autom. group order 2, simple, residual B[10793]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,11,13],[1,2,4,7,10,12,13],[1,2,4,11,12,13,14],[1,3,5,7,8,13,14],[1,3,6,9,10,12,14],[1,4,5,6,8,9,14],[1,4,5,7,9,10,11],[1,5,9,11,12,13,14],[1,6,7,8,10,11,14],[1,6,7,8,10,12,13],[2,3,5,7,8,12,14],[2,3,6,9,10,13,14],[2,4,5,8,10,13,14],[2,4,6,7,9,12,14],[2,5,6,8,10,11,12],[2,5,7,9,10,11,14],[2,6,7,8,9,11,13],[3,4,5,6,10,11,13],[3,4,6,7,11,13,14],[3,4,7,8,9,11,12],[3,4,8,10,11,12,14],[3,5,7,9,10,12,13],[4,5,6,8,9,12,13]]; G[10793]:=Group([(5,9)(6,8)(7,10)(12,13)]); # Design 10794: autom. group order 2, simple, residual B[10794]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,11,13],[1,2,4,7,10,12,13],[1,2,4,11,12,13,14],[1,3,5,7,8,12,14],[1,3,6,9,10,13,14],[1,4,5,6,8,9,14],[1,4,5,7,9,10,11],[1,5,9,11,12,13,14],[1,6,7,8,10,11,14],[1,6,7,8,10,12,13],[2,3,5,8,10,12,14],[2,3,6,7,9,13,14],[2,4,5,8,10,13,14],[2,4,6,7,9,12,14],[2,5,6,7,8,11,13],[2,5,7,9,10,11,14],[2,6,8,9,10,11,12],[3,4,5,6,10,11,13],[3,4,6,10,11,12,14],[3,4,7,8,9,11,12],[3,4,7,8,11,13,14],[3,5,7,9,10,12,13],[4,5,6,8,9,12,13]]; G[10794]:=Group([(5,9)(6,8)(7,10)(12,13)]); # Design 10795: autom. group order 2, simple, residual B[10795]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,11,13],[1,2,4,7,10,12,13],[1,2,4,11,12,13,14],[1,3,5,8,12,13,14],[1,3,6,7,9,10,14],[1,4,5,6,8,9,14],[1,4,5,7,8,10,11],[1,5,7,9,11,12,14],[1,6,7,9,10,12,13],[1,6,8,10,11,13,14],[2,3,5,7,9,13,14],[2,3,6,8,10,12,14],[2,4,5,9,10,13,14],[2,4,6,7,8,12,14],[2,5,6,9,10,11,12],[2,5,7,8,10,11,14],[2,6,7,8,9,11,13],[3,4,5,6,10,11,13],[3,4,6,7,11,13,14],[3,4,7,8,9,11,12],[3,4,9,10,11,12,14],[3,5,7,8,10,12,13],[4,5,6,8,9,12,13]]; G[10795]:=Group([(5,8)(6,9)(7,10)(12,13)]); # Design 10796: autom. group order 2, simple, residual B[10796]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,11,13],[1,2,4,7,10,12,13],[1,2,4,11,12,13,14],[1,3,5,8,12,13,14],[1,3,6,7,9,10,14],[1,4,5,6,8,9,14],[1,4,5,7,8,10,11],[1,5,7,9,11,13,14],[1,6,7,9,10,12,13],[1,6,8,10,11,12,14],[2,3,5,7,9,12,14],[2,3,6,8,10,13,14],[2,4,5,9,10,13,14],[2,4,6,7,8,12,14],[2,5,6,9,10,11,12],[2,5,7,8,10,11,14],[2,6,7,8,9,11,13],[3,4,5,6,10,11,13],[3,4,6,7,11,13,14],[3,4,7,8,9,11,12],[3,4,9,10,11,12,14],[3,5,7,8,10,12,13],[4,5,6,8,9,12,13]]; G[10796]:=Group([(5,8)(6,9)(7,10)(12,13)]); # Design 10797: autom. group order 2, simple, residual B[10797]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,7,10,12,13],[1,2,4,11,12,13,14],[1,3,5,6,7,13,14],[1,3,8,9,10,12,14],[1,4,5,6,8,9,14],[1,4,5,7,9,10,11],[1,5,7,8,11,12,14],[1,6,7,8,10,12,13],[1,6,9,10,11,13,14],[2,3,5,6,10,12,14],[2,3,7,8,9,13,14],[2,4,5,8,10,13,14],[2,4,6,7,9,12,14],[2,5,6,9,10,11,12],[2,5,7,8,9,11,13],[2,6,7,8,10,11,14],[3,4,5,10,11,13,14],[3,4,6,7,8,10,11],[3,4,6,8,11,12,13],[3,4,7,9,11,12,14],[3,5,7,9,10,12,13],[4,5,6,8,9,12,13]]; G[10797]:=Group([(5,9)(6,8)(7,10)(12,13)]); # Design 10798: autom. group order 2, simple B[10798]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,7,10,12,13],[1,2,4,11,12,13,14],[1,3,5,6,7,12,14],[1,3,8,9,10,13,14],[1,4,5,6,8,9,14],[1,4,5,7,9,10,11],[1,5,8,10,11,12,14],[1,6,7,8,10,12,13],[1,6,7,9,11,13,14],[2,3,5,6,10,13,14],[2,3,7,8,9,12,14],[2,4,5,7,8,13,14],[2,4,6,9,10,12,14],[2,5,6,8,10,11,13],[2,5,7,9,10,11,14],[2,6,7,8,9,11,12],[3,4,5,9,11,12,13],[3,4,6,7,8,10,11],[3,4,6,10,11,12,14],[3,4,7,8,11,13,14],[3,5,7,9,10,12,13],[4,5,6,8,9,12,13]]; G[10798]:=Group([(5,9)(6,8)(7,10)(12,13)]); # Design 10799: autom. group order 2, simple B[10799]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,7,10,12,13],[1,2,4,11,12,13,14],[1,3,5,6,10,13,14],[1,3,7,8,9,12,14],[1,4,5,6,8,9,14],[1,4,5,7,9,10,11],[1,5,7,8,11,13,14],[1,6,7,8,10,12,13],[1,6,9,10,11,12,14],[2,3,5,6,7,12,14],[2,3,8,9,10,13,14],[2,4,5,8,10,12,14],[2,4,6,7,9,13,14],[2,5,6,8,10,11,13],[2,5,7,9,10,11,14],[2,6,7,8,9,11,12],[3,4,5,9,11,12,13],[3,4,6,7,8,10,11],[3,4,6,10,11,12,14],[3,4,7,8,11,13,14],[3,5,7,9,10,12,13],[4,5,6,8,9,12,13]]; G[10799]:=Group([(5,9)(6,8)(7,10)(12,13)]); # Design 10800: autom. group order 2, simple, residual B[10800]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,7,10,12,13],[1,2,4,11,12,13,14],[1,3,5,6,10,13,14],[1,3,7,8,9,12,14],[1,4,5,6,8,9,14],[1,4,5,7,9,10,11],[1,5,7,8,11,13,14],[1,6,7,8,10,12,13],[1,6,9,10,11,12,14],[2,3,5,6,10,12,14],[2,3,7,8,9,13,14],[2,4,5,8,10,13,14],[2,4,6,7,9,12,14],[2,5,6,7,9,11,13],[2,5,8,9,10,11,12],[2,6,7,8,10,11,14],[3,4,5,7,11,12,14],[3,4,6,7,8,10,11],[3,4,6,8,11,12,13],[3,4,9,10,11,13,14],[3,5,7,9,10,12,13],[4,5,6,8,9,12,13]]; G[10800]:=Group([(5,9)(6,8)(7,10)(12,13)]); # Design 10801: autom. group order 2, simple, residual B[10801]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,7,10,12,13],[1,2,4,11,12,13,14],[1,3,5,6,10,12,14],[1,3,7,8,9,13,14],[1,4,5,6,8,9,14],[1,4,5,7,9,10,11],[1,5,8,10,11,13,14],[1,6,7,8,10,12,13],[1,6,7,9,11,12,14],[2,3,5,6,7,13,14],[2,3,8,9,10,12,14],[2,4,5,7,8,12,14],[2,4,6,9,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,9,11,13],[2,6,7,8,10,11,14],[3,4,5,10,11,13,14],[3,4,6,7,8,10,11],[3,4,6,8,11,12,13],[3,4,7,9,11,12,14],[3,5,7,9,10,12,13],[4,5,6,8,9,12,13]]; G[10801]:=Group([(5,9)(6,8)(7,10)(12,13)]); # Design 10802: autom. group order 2, simple, residual B[10802]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,7,10,12,13],[1,2,4,11,12,13,14],[1,3,5,6,10,13,14],[1,3,7,8,9,12,14],[1,4,5,6,8,9,14],[1,4,5,7,9,10,11],[1,5,9,11,12,13,14],[1,6,7,8,10,11,14],[1,6,7,8,10,12,13],[2,3,5,6,7,12,14],[2,3,8,9,10,13,14],[2,4,5,8,10,12,14],[2,4,6,7,9,13,14],[2,5,6,8,10,11,13],[2,5,7,9,10,11,14],[2,6,7,8,9,11,12],[3,4,5,7,8,11,13],[3,4,6,9,10,11,12],[3,4,6,10,11,12,14],[3,4,7,8,11,13,14],[3,5,7,9,10,12,13],[4,5,6,8,9,12,13]]; G[10802]:=Group([(5,9)(6,8)(7,10)(12,13)]); # Design 10803: autom. group order 2, simple B[10803]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,7,10,12,13],[1,2,4,11,12,13,14],[1,3,5,6,10,12,14],[1,3,7,8,9,13,14],[1,4,5,6,8,9,14],[1,4,5,7,9,10,11],[1,5,8,10,11,13,14],[1,6,7,8,10,12,13],[1,6,7,9,11,12,14],[2,3,5,6,10,13,14],[2,3,7,8,9,12,14],[2,4,5,7,8,13,14],[2,4,6,9,10,12,14],[2,5,6,7,8,11,12],[2,5,7,9,10,11,14],[2,6,8,9,10,11,13],[3,4,5,9,11,12,13],[3,4,6,7,8,10,11],[3,4,6,7,11,13,14],[3,4,8,10,11,12,14],[3,5,7,9,10,12,13],[4,5,6,8,9,12,13]]; G[10803]:=Group([(5,9)(6,8)(7,10)(12,13)]); # Design 10804: autom. group order 2, simple B[10804]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,7,10,12,13],[1,2,4,11,12,13,14],[1,3,5,6,10,13,14],[1,3,7,8,9,12,14],[1,4,5,6,8,9,14],[1,4,5,7,9,10,11],[1,5,8,10,11,13,14],[1,6,7,8,10,12,13],[1,6,7,9,11,12,14],[2,3,5,6,10,12,14],[2,3,7,8,9,13,14],[2,4,5,7,8,13,14],[2,4,6,9,10,12,14],[2,5,6,7,8,11,12],[2,5,7,9,10,11,14],[2,6,8,9,10,11,13],[3,4,5,9,11,12,13],[3,4,6,7,8,10,11],[3,4,6,7,11,13,14],[3,4,8,10,11,12,14],[3,5,7,9,10,12,13],[4,5,6,8,9,12,13]]; G[10804]:=Group([(5,9)(6,8)(7,10)(12,13)]); # Design 10805: autom. group order 2, simple, residual B[10805]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,7,10,12,13],[1,2,4,11,12,13,14],[1,3,5,6,10,13,14],[1,3,7,8,9,12,14],[1,4,5,6,8,9,14],[1,4,5,7,9,10,11],[1,5,7,8,11,13,14],[1,6,7,8,10,12,13],[1,6,9,10,11,12,14],[2,3,5,9,12,13,14],[2,3,6,7,8,10,14],[2,4,5,8,10,13,14],[2,4,6,7,9,12,14],[2,5,6,7,8,11,12],[2,5,7,9,10,11,14],[2,6,8,9,10,11,13],[3,4,5,6,10,11,12],[3,4,6,7,11,13,14],[3,4,7,8,9,11,13],[3,4,8,10,11,12,14],[3,5,7,9,10,12,13],[4,5,6,8,9,12,13]]; G[10805]:=Group([(5,9)(6,8)(7,10)(12,13)]); # Design 10806: autom. group order 2, simple, residual B[10806]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,7,10,12,13],[1,2,4,11,12,13,14],[1,3,5,6,10,13,14],[1,3,7,8,9,12,14],[1,4,5,6,8,9,14],[1,4,5,7,9,10,11],[1,5,8,10,11,13,14],[1,6,7,8,10,12,13],[1,6,7,9,11,12,14],[2,3,5,9,12,13,14],[2,3,6,7,8,10,14],[2,4,5,7,8,13,14],[2,4,6,9,10,12,14],[2,5,6,7,8,11,12],[2,5,7,9,10,11,14],[2,6,8,9,10,11,13],[3,4,5,6,10,11,12],[3,4,6,7,11,13,14],[3,4,7,8,9,11,13],[3,4,8,10,11,12,14],[3,5,7,9,10,12,13],[4,5,6,8,9,12,13]]; G[10806]:=Group([(5,9)(6,8)(7,10)(12,13)]); # Design 10807: autom. group order 2, simple, residual B[10807]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,7,10,12,13],[1,2,4,11,12,13,14],[1,3,5,7,8,12,14],[1,3,6,9,10,13,14],[1,4,5,6,8,9,14],[1,4,5,7,9,10,11],[1,5,6,7,11,13,14],[1,6,7,8,10,12,13],[1,8,9,10,11,12,14],[2,3,5,6,10,12,14],[2,3,7,8,9,13,14],[2,4,5,8,10,13,14],[2,4,6,7,9,12,14],[2,5,6,9,10,11,12],[2,5,7,8,9,11,13],[2,6,7,8,10,11,14],[3,4,5,10,11,13,14],[3,4,6,7,8,10,11],[3,4,6,8,11,12,13],[3,4,7,9,11,12,14],[3,5,7,9,10,12,13],[4,5,6,8,9,12,13]]; G[10807]:=Group([(5,9)(6,8)(7,10)(12,13)]); # Design 10808: autom. group order 2, simple B[10808]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,7,10,12,13],[1,2,4,11,12,13,14],[1,3,5,8,10,12,14],[1,3,6,7,9,13,14],[1,4,5,6,8,9,14],[1,4,5,7,9,10,11],[1,5,6,7,11,12,14],[1,6,7,8,10,12,13],[1,8,9,10,11,13,14],[2,3,5,6,10,13,14],[2,3,7,8,9,12,14],[2,4,5,7,8,13,14],[2,4,6,9,10,12,14],[2,5,6,8,10,11,13],[2,5,7,9,10,11,14],[2,6,7,8,9,11,12],[3,4,5,9,11,12,13],[3,4,6,7,8,10,11],[3,4,6,10,11,12,14],[3,4,7,8,11,13,14],[3,5,7,9,10,12,13],[4,5,6,8,9,12,13]]; G[10808]:=Group([(5,9)(6,8)(7,10)(12,13)]); # Design 10809: autom. group order 2, simple B[10809]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,7,10,12,13],[1,2,4,11,12,13,14],[1,3,5,8,10,13,14],[1,3,6,7,9,12,14],[1,4,5,6,8,9,14],[1,4,5,7,9,10,11],[1,5,6,7,11,13,14],[1,6,7,8,10,12,13],[1,8,9,10,11,12,14],[2,3,5,6,10,12,14],[2,3,7,8,9,13,14],[2,4,5,7,8,12,14],[2,4,6,9,10,13,14],[2,5,6,8,10,11,13],[2,5,7,9,10,11,14],[2,6,7,8,9,11,12],[3,4,5,9,11,12,13],[3,4,6,7,8,10,11],[3,4,6,10,11,12,14],[3,4,7,8,11,13,14],[3,5,7,9,10,12,13],[4,5,6,8,9,12,13]]; G[10809]:=Group([(5,9)(6,8)(7,10)(12,13)]); # Design 10810: autom. group order 2, simple, residual B[10810]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,7,10,12,13],[1,2,4,11,12,13,14],[1,3,5,8,10,13,14],[1,3,6,7,9,12,14],[1,4,5,6,8,9,14],[1,4,5,7,9,10,11],[1,5,6,7,11,13,14],[1,6,7,8,10,12,13],[1,8,9,10,11,12,14],[2,3,5,9,12,13,14],[2,3,6,7,8,10,14],[2,4,5,6,10,12,14],[2,4,7,8,9,13,14],[2,5,6,8,10,11,13],[2,5,7,9,10,11,14],[2,6,7,8,9,11,12],[3,4,5,7,8,11,12],[3,4,6,9,10,11,13],[3,4,6,10,11,12,14],[3,4,7,8,11,13,14],[3,5,7,9,10,12,13],[4,5,6,8,9,12,13]]; G[10810]:=Group([(5,9)(6,8)(7,10)(12,13)]); # Design 10811: autom. group order 2, simple, residual B[10811]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,7,10,12,13],[1,2,4,11,12,13,14],[1,3,5,8,10,12,14],[1,3,6,7,9,13,14],[1,4,5,6,8,9,14],[1,4,5,7,9,10,11],[1,5,6,7,11,12,14],[1,6,7,8,10,12,13],[1,8,9,10,11,13,14],[2,3,5,9,12,13,14],[2,3,6,7,8,10,14],[2,4,5,7,8,13,14],[2,4,6,9,10,12,14],[2,5,6,8,10,11,13],[2,5,7,9,10,11,14],[2,6,7,8,9,11,12],[3,4,5,6,10,11,13],[3,4,6,10,11,12,14],[3,4,7,8,9,11,12],[3,4,7,8,11,13,14],[3,5,7,9,10,12,13],[4,5,6,8,9,12,13]]; G[10811]:=Group([(5,9)(6,8)(7,10)(12,13)]); # Design 10812: autom. group order 2, simple, residual B[10812]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,7,10,12,13],[1,2,4,11,12,13,14],[1,3,5,8,10,13,14],[1,3,6,7,9,12,14],[1,4,5,6,8,9,14],[1,4,5,7,9,10,11],[1,5,6,7,11,13,14],[1,6,7,8,10,12,13],[1,8,9,10,11,12,14],[2,3,5,9,12,13,14],[2,3,6,7,8,10,14],[2,4,5,7,8,12,14],[2,4,6,9,10,13,14],[2,5,6,8,10,11,13],[2,5,7,9,10,11,14],[2,6,7,8,9,11,12],[3,4,5,6,10,11,12],[3,4,6,10,11,12,14],[3,4,7,8,9,11,13],[3,4,7,8,11,13,14],[3,5,7,9,10,12,13],[4,5,6,8,9,12,13]]; G[10812]:=Group([(5,9)(6,8)(7,10)(12,13)]); # Design 10813: autom. group order 2, simple, residual B[10813]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,7,10,12,13],[1,2,4,11,12,13,14],[1,3,5,7,8,13,14],[1,3,6,9,10,12,14],[1,4,5,6,8,9,14],[1,4,5,7,9,10,11],[1,5,9,11,12,13,14],[1,6,7,8,10,11,14],[1,6,7,8,10,12,13],[2,3,5,6,10,13,14],[2,3,7,8,9,12,14],[2,4,5,8,10,13,14],[2,4,6,7,9,12,14],[2,5,6,7,8,11,12],[2,5,7,9,10,11,14],[2,6,8,9,10,11,13],[3,4,5,6,10,11,12],[3,4,6,7,11,13,14],[3,4,7,8,9,11,13],[3,4,8,10,11,12,14],[3,5,7,9,10,12,13],[4,5,6,8,9,12,13]]; G[10813]:=Group([(5,9)(6,8)(7,10)(12,13)]); # Design 10814: autom. group order 2, simple, residual B[10814]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,7,10,12,13],[1,2,4,11,12,13,14],[1,3,5,9,12,13,14],[1,3,6,7,8,10,14],[1,4,5,6,8,9,14],[1,4,5,7,9,10,11],[1,5,7,8,11,13,14],[1,6,7,8,10,12,13],[1,6,9,10,11,12,14],[2,3,5,6,10,13,14],[2,3,7,8,9,12,14],[2,4,5,8,10,13,14],[2,4,6,7,9,12,14],[2,5,6,7,8,11,12],[2,5,7,9,10,11,14],[2,6,8,9,10,11,13],[3,4,5,6,10,11,12],[3,4,6,7,11,13,14],[3,4,7,8,9,11,13],[3,4,8,10,11,12,14],[3,5,7,9,10,12,13],[4,5,6,8,9,12,13]]; G[10814]:=Group([(5,9)(6,8)(7,10)(12,13)]); # Design 10815: autom. group order 2, simple B[10815]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,8,11,12,14],[1,2,4,6,7,11,14],[1,2,4,9,12,13,14],[1,3,5,6,8,10,13],[1,3,6,7,9,12,13],[1,4,5,6,9,10,11],[1,4,5,7,8,13,14],[1,5,7,8,10,11,12],[1,6,9,10,11,13,14],[1,7,8,9,10,12,14],[2,3,5,7,9,10,14],[2,3,6,8,10,13,14],[2,4,5,9,10,12,13],[2,4,7,8,10,11,13],[2,5,6,7,8,9,12],[2,5,6,10,11,12,14],[2,6,7,8,9,11,13],[3,4,5,8,9,11,14],[3,4,6,7,10,12,14],[3,4,6,8,9,11,12],[3,4,7,10,11,12,13],[3,5,7,9,11,13,14],[4,5,6,8,12,13,14]]; G[10815]:=Group([(2,10)(3,9)(4,8)(5,14)(6,12)]); # Design 10816: autom. group order 2, simple, residual B[10816]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,13,14],[1,2,4,7,10,11,12],[1,2,4,11,12,13,14],[1,3,5,7,8,11,13],[1,3,6,9,10,11,13],[1,4,5,7,9,10,14],[1,4,5,9,12,13,14],[1,5,6,8,10,11,14],[1,6,7,8,9,12,13],[1,6,7,8,10,12,14],[2,3,5,8,10,12,14],[2,3,6,7,9,12,14],[2,4,6,7,8,10,13],[2,4,6,8,11,13,14],[2,5,6,9,10,12,13],[2,5,7,8,9,11,14],[2,5,7,9,10,11,13],[3,4,5,6,7,13,14],[3,4,5,8,10,12,13],[3,4,6,9,10,11,14],[3,4,7,8,9,11,12],[3,7,10,11,12,13,14],[4,5,6,8,9,11,12]]; G[10816]:=Group([(1,2)(5,6)(8,9)(11,12)(13,14)]); # Design 10817: autom. group order 2, simple B[10817]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,13,14],[1,2,4,7,10,13,14],[1,2,4,11,12,13,14],[1,3,5,7,8,11,13],[1,3,6,9,10,11,13],[1,4,5,7,9,10,12],[1,4,5,9,11,12,14],[1,5,6,8,10,11,14],[1,6,7,8,9,12,13],[1,6,7,8,10,12,14],[2,3,5,8,10,12,14],[2,3,6,7,9,12,14],[2,4,6,7,8,10,11],[2,4,6,8,11,12,13],[2,5,6,9,10,12,13],[2,5,7,8,9,11,14],[2,5,7,9,10,11,13],[3,4,5,6,7,13,14],[3,4,5,8,10,12,13],[3,4,6,9,10,11,14],[3,4,7,8,9,11,12],[3,7,10,11,12,13,14],[4,5,6,8,9,13,14]]; G[10817]:=Group([(1,2)(5,6)(8,9)(11,12)(13,14)]); # Design 10818: autom. group order 2, simple B[10818]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,13,14],[1,2,4,7,10,11,12],[1,2,4,11,12,13,14],[1,3,5,7,8,11,13],[1,3,6,9,10,12,13],[1,4,5,7,9,10,14],[1,4,5,8,12,13,14],[1,5,6,9,10,11,14],[1,6,7,8,9,11,13],[1,6,7,8,10,12,14],[2,3,5,8,10,11,14],[2,3,6,7,9,12,14],[2,4,6,7,8,10,13],[2,4,6,9,11,13,14],[2,5,6,8,10,12,13],[2,5,7,8,9,12,14],[2,5,7,9,10,11,13],[3,4,5,6,10,13,14],[3,4,5,7,9,12,13],[3,4,6,7,8,11,14],[3,4,8,9,10,11,12],[3,7,10,11,12,13,14],[4,5,6,8,9,11,12]]; G[10818]:=Group([(1,2)(5,6)(8,9)(11,12)(13,14)]); # Design 10819: autom. group order 2, simple, residual B[10819]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,13,14],[1,2,4,7,10,13,14],[1,2,4,11,12,13,14],[1,3,5,7,8,11,13],[1,3,6,9,10,12,13],[1,4,5,7,8,10,12],[1,4,5,9,11,12,14],[1,5,6,9,10,11,14],[1,6,7,8,9,11,13],[1,6,7,8,10,12,14],[2,3,5,8,10,11,14],[2,3,6,7,9,12,14],[2,4,6,7,9,10,11],[2,4,6,8,11,12,13],[2,5,6,8,10,12,13],[2,5,7,8,9,12,14],[2,5,7,9,10,11,13],[3,4,5,6,10,13,14],[3,4,5,7,9,12,13],[3,4,6,7,8,11,14],[3,4,8,9,10,11,12],[3,7,10,11,12,13,14],[4,5,6,8,9,13,14]]; G[10819]:=Group([(1,2)(5,6)(8,9)(11,12)(13,14)]); # Design 10820: autom. group order 2, simple B[10820]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,13,14],[1,2,4,7,10,13,14],[1,2,4,11,12,13,14],[1,3,5,8,10,11,13],[1,3,6,7,9,11,13],[1,4,5,7,9,10,12],[1,4,5,9,11,12,14],[1,5,6,8,10,11,14],[1,6,7,8,9,12,13],[1,6,7,8,10,12,14],[2,3,5,7,8,12,14],[2,3,6,9,10,12,14],[2,4,6,7,8,10,11],[2,4,6,8,11,12,13],[2,5,6,9,10,12,13],[2,5,7,8,9,11,14],[2,5,7,9,10,11,13],[3,4,5,6,7,13,14],[3,4,5,8,10,12,13],[3,4,6,9,10,11,14],[3,4,7,8,9,11,12],[3,7,10,11,12,13,14],[4,5,6,8,9,13,14]]; G[10820]:=Group([(1,2)(5,6)(8,9)(11,12)(13,14)]); # Design 10821: autom. group order 2, simple B[10821]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,13,14],[1,2,4,7,10,13,14],[1,2,4,11,12,13,14],[1,3,5,8,10,11,13],[1,3,6,7,9,12,13],[1,4,5,7,8,10,12],[1,4,5,9,11,12,14],[1,5,6,9,10,11,14],[1,6,7,8,9,11,13],[1,6,7,8,10,12,14],[2,3,5,7,8,11,14],[2,3,6,9,10,12,14],[2,4,6,7,9,10,11],[2,4,6,8,11,12,13],[2,5,6,8,10,12,13],[2,5,7,8,9,12,14],[2,5,7,9,10,11,13],[3,4,5,6,7,13,14],[3,4,5,9,10,12,13],[3,4,6,8,10,11,14],[3,4,7,8,9,11,12],[3,7,10,11,12,13,14],[4,5,6,8,9,13,14]]; G[10821]:=Group([(1,2)(5,6)(8,9)(11,12)(13,14)]); # Design 10822: autom. group order 2, simple, residual B[10822]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,7,11,12,14],[1,2,4,10,12,13,14],[1,3,5,7,9,13,14],[1,3,6,7,10,12,13],[1,4,5,6,8,12,13],[1,4,5,9,10,11,14],[1,5,6,7,8,9,14],[1,6,8,10,11,13,14],[1,7,8,9,10,11,12],[2,3,6,9,11,12,14],[2,3,7,8,10,13,14],[2,4,5,7,8,11,13],[2,4,6,8,9,13,14],[2,5,6,7,10,11,14],[2,5,6,8,9,10,12],[2,5,7,9,10,12,13],[3,4,5,6,10,12,14],[3,4,5,9,10,11,13],[3,4,6,7,8,10,11],[3,4,7,8,9,12,14],[3,5,8,11,12,13,14],[4,6,7,9,11,12,13]]; G[10822]:=Group([(1,14)(2,12)(5,9)(6,8)]); # Design 10823: autom. group order 2, simple B[10823]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,13,14],[1,2,4,7,10,13,14],[1,2,4,11,12,13,14],[1,3,5,7,8,11,13],[1,3,6,9,10,11,14],[1,4,5,7,9,10,11],[1,4,6,8,11,12,14],[1,5,6,9,10,12,13],[1,5,7,8,10,12,14],[1,6,7,8,9,12,13],[2,3,5,8,10,12,13],[2,3,6,7,9,12,14],[2,4,5,9,11,12,13],[2,4,6,7,8,10,12],[2,5,6,8,10,11,14],[2,5,7,8,9,11,14],[2,6,7,9,10,11,13],[3,4,5,6,7,13,14],[3,4,5,9,10,12,14],[3,4,6,8,10,11,13],[3,4,7,8,9,11,12],[3,7,10,11,12,13,14],[4,5,6,8,9,13,14]]; G[10823]:=Group([(1,2)(5,6)(8,9)(11,12)(13,14)]); # Design 10824: autom. group order 2, simple B[10824]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,13,14],[1,2,4,7,10,13,14],[1,2,4,11,12,13,14],[1,3,5,7,8,11,13],[1,3,6,9,10,12,13],[1,4,5,7,9,10,12],[1,4,6,8,11,12,13],[1,5,6,9,10,11,14],[1,5,7,8,10,12,14],[1,6,7,8,9,11,14],[2,3,5,8,10,11,14],[2,3,6,7,9,12,14],[2,4,5,9,11,12,14],[2,4,6,7,8,10,11],[2,5,6,8,10,12,13],[2,5,7,8,9,12,13],[2,6,7,9,10,11,13],[3,4,5,6,7,13,14],[3,4,5,9,10,11,13],[3,4,6,8,10,12,14],[3,4,7,8,9,11,12],[3,7,10,11,12,13,14],[4,5,6,8,9,13,14]]; G[10824]:=Group([(1,2)(5,6)(8,9)(11,12)(13,14)]); # Design 10825: autom. group order 2, simple, residual B[10825]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,13,14],[1,2,4,7,10,11,12],[1,2,4,11,12,13,14],[1,3,5,7,8,11,13],[1,3,6,9,10,11,14],[1,4,5,9,11,13,14],[1,4,6,7,8,10,14],[1,5,6,9,10,12,13],[1,5,7,8,10,12,14],[1,6,7,8,9,12,13],[2,3,5,8,10,12,13],[2,3,6,7,9,12,14],[2,4,5,7,9,10,13],[2,4,6,8,12,13,14],[2,5,6,8,10,11,14],[2,5,7,8,9,11,14],[2,6,7,9,10,11,13],[3,4,5,6,7,13,14],[3,4,5,9,10,12,14],[3,4,6,8,10,11,13],[3,4,7,8,9,11,12],[3,7,10,11,12,13,14],[4,5,6,8,9,11,12]]; G[10825]:=Group([(1,2)(5,6)(8,9)(11,12)(13,14)]); # Design 10826: autom. group order 2, simple, residual B[10826]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,8,9,13,14],[1,2,4,7,10,11,12],[1,2,4,11,12,13,14],[1,3,5,7,8,11,13],[1,3,6,9,10,12,13],[1,4,5,9,12,13,14],[1,4,6,7,8,10,13],[1,5,6,9,10,11,14],[1,5,7,8,10,12,14],[1,6,7,8,9,11,14],[2,3,5,8,10,11,14],[2,3,6,7,9,12,14],[2,4,5,7,9,10,14],[2,4,6,8,11,13,14],[2,5,6,8,10,12,13],[2,5,7,8,9,12,13],[2,6,7,9,10,11,13],[3,4,5,6,7,13,14],[3,4,5,9,10,11,13],[3,4,6,8,10,12,14],[3,4,7,8,9,11,12],[3,7,10,11,12,13,14],[4,5,6,8,9,11,12]]; G[10826]:=Group([(1,2)(5,6)(8,9)(11,12)(13,14)]); # Design 10827: autom. group order 2, simple B[10827]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,4,5,9,12,14],[1,2,6,7,11,13,14],[1,3,4,6,12,13,14],[1,3,8,9,10,11,14],[1,4,6,8,9,10,11],[1,4,7,8,11,12,14],[1,5,6,9,10,13,14],[1,5,7,8,10,12,13],[1,5,7,9,11,12,13],[2,3,5,8,11,13,14],[2,3,7,9,10,12,14],[2,4,6,8,10,12,13],[2,4,7,8,9,11,13],[2,4,7,9,10,13,14],[2,5,6,8,11,12,14],[2,5,6,9,10,11,12],[3,4,5,7,10,11,12],[3,4,5,10,11,13,14],[3,4,6,9,11,12,13],[3,5,6,7,8,9,13],[3,6,7,8,9,12,14],[4,5,6,7,8,10,14]]; G[10827]:=Group([(4,6)(5,7)(8,10)(9,11)(12,13)]); # Design 10828: autom. group order 2, simple B[10828]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,5,8,10,14],[1,2,6,9,11,13,14],[1,3,4,6,12,13,14],[1,3,8,9,10,13,14],[1,4,6,7,9,10,12],[1,4,7,8,9,12,13],[1,5,6,8,11,12,14],[1,5,7,8,11,12,13],[1,5,7,9,10,11,14],[2,3,5,9,12,13,14],[2,3,7,8,9,11,12],[2,4,6,8,9,11,13],[2,4,7,10,12,13,14],[2,4,8,10,11,12,14],[2,5,6,7,8,10,13],[2,5,6,7,9,12,14],[3,4,5,7,11,13,14],[3,4,5,9,10,11,12],[3,4,6,7,8,11,14],[3,5,6,8,10,12,13],[3,6,7,8,9,10,14],[4,5,6,9,10,11,13]]; G[10828]:=Group([(1,14)(3,12)(5,10)(6,13)(9,11)]); # Design 10829: autom. group order 2, simple B[10829]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,5,8,10,14],[1,2,6,9,11,13,14],[1,3,4,6,12,13,14],[1,3,8,9,11,12,14],[1,4,6,7,9,10,12],[1,4,7,8,9,12,13],[1,5,6,8,10,13,14],[1,5,7,8,11,12,13],[1,5,7,9,10,11,14],[2,3,5,9,12,13,14],[2,3,7,8,9,10,13],[2,4,6,8,9,11,13],[2,4,7,10,12,13,14],[2,4,8,10,11,12,14],[2,5,6,7,8,11,12],[2,5,6,7,9,12,14],[3,4,5,7,11,13,14],[3,4,5,9,10,11,12],[3,4,6,7,8,11,14],[3,5,6,8,10,12,13],[3,6,7,8,9,10,14],[4,5,6,9,10,11,13]]; G[10829]:=Group([(1,14)(3,12)(5,10)(6,13)(9,11)]); # Design 10830: autom. group order 2, simple B[10830]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,5,8,11,13],[1,2,6,9,10,11,14],[1,3,4,6,12,13,14],[1,3,8,9,11,12,14],[1,4,6,7,9,12,13],[1,4,7,8,9,10,12],[1,5,6,8,10,11,13],[1,5,7,8,10,12,14],[1,5,7,9,11,13,14],[2,3,5,9,12,13,14],[2,3,7,8,9,10,13],[2,4,6,8,9,10,14],[2,4,7,10,11,12,13],[2,4,8,11,12,13,14],[2,5,6,7,8,12,14],[2,5,6,7,9,11,12],[3,4,5,7,10,11,14],[3,4,5,9,10,11,12],[3,4,6,7,8,11,14],[3,5,6,8,10,12,13],[3,6,7,8,9,11,13],[4,5,6,9,10,13,14]]; G[10830]:=Group([(1,11)(3,12)(5,13)(6,10)(9,14)]); # Design 10831: autom. group order 2, simple, residual B[10831]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,4,5,10,11,14],[1,2,6,7,12,13,14],[1,3,4,8,10,12,14],[1,3,6,9,11,13,14],[1,4,6,8,10,11,13],[1,4,7,9,11,12,14],[1,5,6,9,10,12,14],[1,5,7,8,9,11,13],[1,5,7,8,10,12,13],[2,3,5,9,10,13,14],[2,3,7,8,11,12,14],[2,4,6,8,9,11,12],[2,4,6,9,10,12,13],[2,4,7,8,10,13,14],[2,5,6,8,11,13,14],[2,5,7,9,10,11,12],[3,4,5,6,7,12,13],[3,4,5,11,12,13,14],[3,4,7,9,10,11,13],[3,5,6,8,10,11,12],[3,6,7,8,9,10,14],[4,5,6,7,8,9,14]]; G[10831]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 10832: autom. group order 2, simple, residual B[10832]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,4,5,10,11,12],[1,2,6,7,12,13,14],[1,3,4,8,10,13,14],[1,3,6,9,10,12,14],[1,4,6,8,9,11,14],[1,4,7,9,11,12,14],[1,5,6,8,10,11,13],[1,5,7,8,11,13,14],[1,5,7,9,10,12,13],[2,3,5,9,11,13,14],[2,3,7,8,11,12,14],[2,4,6,8,11,12,13],[2,4,6,9,10,13,14],[2,4,7,9,10,11,13],[2,5,6,8,10,12,14],[2,5,7,8,9,10,14],[3,4,5,6,7,13,14],[3,4,5,10,11,12,14],[3,4,7,8,10,12,13],[3,5,6,9,11,12,13],[3,6,7,8,9,10,11],[4,5,6,7,8,9,12]]; G[10832]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 10833: autom. group order 2, simple, residual B[10833]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,4,5,10,11,12],[1,2,6,7,12,13,14],[1,3,4,8,10,13,14],[1,3,6,9,10,12,14],[1,4,6,8,9,11,14],[1,4,7,9,11,13,14],[1,5,6,8,10,11,13],[1,5,7,8,11,12,14],[1,5,7,9,10,12,13],[2,3,5,9,11,13,14],[2,3,7,8,11,12,14],[2,4,6,8,11,12,13],[2,4,6,9,10,12,14],[2,4,7,9,10,11,13],[2,5,6,8,10,13,14],[2,5,7,8,9,10,14],[3,4,5,6,7,13,14],[3,4,5,10,11,12,14],[3,4,7,8,10,12,13],[3,5,6,9,11,12,13],[3,6,7,8,9,10,11],[4,5,6,7,8,9,12]]; G[10833]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 10834: autom. group order 2, simple, residual B[10834]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,4,5,10,11,14],[1,2,6,7,12,13,14],[1,3,4,8,10,12,14],[1,3,6,9,10,13,14],[1,4,6,8,9,11,12],[1,4,7,9,11,13,14],[1,5,6,8,10,11,13],[1,5,7,8,11,12,13],[1,5,7,9,10,12,14],[2,3,5,9,11,13,14],[2,3,7,8,11,12,14],[2,4,6,8,11,13,14],[2,4,6,9,10,12,13],[2,4,7,9,10,11,12],[2,5,6,8,10,12,14],[2,5,7,8,9,10,13],[3,4,5,6,7,12,13],[3,4,5,10,11,12,13],[3,4,7,8,10,13,14],[3,5,6,9,11,12,14],[3,6,7,8,9,10,11],[4,5,6,7,8,9,14]]; G[10834]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)(12,13)]); # Design 10835: autom. group order 2, simple, residual B[10835]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,4,5,10,11,14],[1,2,6,7,12,13,14],[1,3,4,8,10,12,14],[1,3,6,9,10,13,14],[1,4,6,8,9,11,13],[1,4,7,9,11,12,14],[1,5,6,8,10,11,12],[1,5,7,8,11,13,14],[1,5,7,9,10,12,13],[2,3,5,9,11,13,14],[2,3,7,8,11,12,14],[2,4,6,8,11,12,13],[2,4,6,9,10,12,14],[2,4,7,9,10,11,13],[2,5,6,8,10,13,14],[2,5,7,8,9,10,12],[3,4,5,6,7,12,13],[3,4,5,10,11,12,13],[3,4,7,8,10,13,14],[3,5,6,9,11,12,14],[3,6,7,8,9,10,11],[4,5,6,7,8,9,14]]; G[10835]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)(12,13)]); # Design 10836: autom. group order 2, simple, residual B[10836]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,4,5,10,11,14],[1,2,6,7,12,13,14],[1,3,4,8,10,12,14],[1,3,6,9,11,13,14],[1,4,6,8,9,11,12],[1,4,7,9,10,13,14],[1,5,6,8,10,11,13],[1,5,7,8,10,12,13],[1,5,7,9,11,12,14],[2,3,5,9,10,13,14],[2,3,7,8,11,12,14],[2,4,6,8,11,13,14],[2,4,6,9,10,12,13],[2,4,7,9,10,11,12],[2,5,6,8,10,12,14],[2,5,7,8,9,11,13],[3,4,5,6,7,12,13],[3,4,5,11,12,13,14],[3,4,7,8,10,11,13],[3,5,6,9,10,11,12],[3,6,7,8,9,10,14],[4,5,6,7,8,9,14]]; G[10836]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 10837: autom. group order 2, simple, residual B[10837]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,4,5,10,11,12],[1,2,6,7,12,13,14],[1,3,4,8,10,13,14],[1,3,6,9,11,12,14],[1,4,6,8,9,11,14],[1,4,7,9,10,12,14],[1,5,6,8,10,13,14],[1,5,7,8,11,12,13],[1,5,7,9,10,11,13],[2,3,5,9,11,13,14],[2,3,7,8,10,12,14],[2,4,6,8,10,11,13],[2,4,6,9,10,12,13],[2,4,7,9,11,13,14],[2,5,6,8,11,12,14],[2,5,7,8,9,10,14],[3,4,5,6,7,13,14],[3,4,5,10,11,12,14],[3,4,7,8,11,12,13],[3,5,6,9,10,12,13],[3,6,7,8,9,10,11],[4,5,6,7,8,9,12]]; G[10837]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 10838: autom. group order 2, simple, residual B[10838]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,4,5,10,11,12],[1,2,6,7,12,13,14],[1,3,4,8,10,13,14],[1,3,6,9,11,12,14],[1,4,6,8,9,11,14],[1,4,7,9,10,13,14],[1,5,6,8,10,12,13],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,5,9,11,13,14],[2,3,7,8,10,12,14],[2,4,6,8,10,11,13],[2,4,6,9,10,12,14],[2,4,7,9,11,12,13],[2,5,6,8,11,13,14],[2,5,7,8,9,10,14],[3,4,5,6,7,13,14],[3,4,5,10,11,12,14],[3,4,7,8,11,12,13],[3,5,6,9,10,12,13],[3,6,7,8,9,10,11],[4,5,6,7,8,9,12]]; G[10838]:=Group([(1,2)(4,5)(6,7)(8,9)(10,11)]); # Design 10839: autom. group order 2, simple, residual B[10839]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,4,5,10,11,14],[1,2,6,7,12,13,14],[1,3,4,8,10,12,14],[1,3,6,9,11,13,14],[1,4,6,8,9,11,12],[1,4,7,9,11,13,14],[1,5,6,8,10,11,13],[1,5,7,8,10,12,13],[1,5,7,9,10,12,14],[2,3,5,9,10,13,14],[2,3,7,8,11,12,14],[2,4,6,8,10,13,14],[2,4,6,9,10,12,13],[2,4,7,9,10,11,12],[2,5,6,8,11,12,14],[2,5,7,8,9,11,13],[3,4,5,6,7,12,13],[3,4,5,11,12,13,14],[3,4,7,8,10,11,13],[3,5,6,9,10,11,12],[3,6,7,8,9,10,14],[4,5,6,7,8,9,14]]; G[10839]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 10840: autom. group order 2, simple, residual B[10840]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,4,5,10,11,14],[1,2,6,7,12,13,14],[1,3,4,8,10,12,14],[1,3,6,9,11,13,14],[1,4,6,8,9,11,13],[1,4,7,9,11,12,14],[1,5,6,8,10,11,12],[1,5,7,8,10,13,14],[1,5,7,9,10,12,13],[2,3,5,9,10,13,14],[2,3,7,8,11,12,14],[2,4,6,8,10,12,13],[2,4,6,9,10,12,14],[2,4,7,9,10,11,13],[2,5,6,8,11,13,14],[2,5,7,8,9,11,12],[3,4,5,6,7,12,13],[3,4,5,11,12,13,14],[3,4,7,8,10,11,13],[3,5,6,9,10,11,12],[3,6,7,8,9,10,14],[4,5,6,7,8,9,14]]; G[10840]:=Group([(1,2)(4,5)(6,7)(8,9)(12,13)]); # Design 10841: autom. group order 2, simple B[10841]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,4,5,11,12,13],[1,2,6,9,11,12,14],[1,3,4,9,10,13,14],[1,3,6,8,12,13,14],[1,4,6,7,9,10,12],[1,4,7,8,11,12,14],[1,5,6,10,11,13,14],[1,5,7,8,9,10,14],[1,5,7,8,9,11,13],[2,3,5,8,10,11,14],[2,3,7,9,12,13,14],[2,4,6,8,9,10,14],[2,4,6,8,9,11,13],[2,4,7,10,11,13,14],[2,5,6,7,8,12,14],[2,5,7,9,10,12,13],[3,4,5,6,7,13,14],[3,4,5,9,11,12,14],[3,4,7,8,10,11,12],[3,5,6,9,10,11,12],[3,6,7,8,9,11,13],[4,5,6,8,10,12,13]]; G[10841]:=Group([(1,5)(2,4)(8,9)(10,14)(11,13)]); # Design 10842: autom. group order 2, simple B[10842]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,5,11,12,13],[1,2,6,7,8,11,14],[1,3,4,8,9,10,14],[1,3,6,8,12,13,14],[1,4,6,7,9,11,13],[1,4,9,10,11,13,14],[1,5,6,9,10,12,13],[1,5,7,8,9,12,14],[1,5,7,8,10,11,12],[2,3,5,8,9,11,13],[2,3,7,9,10,12,13],[2,4,6,8,9,10,12],[2,4,6,8,12,13,14],[2,4,7,9,11,12,14],[2,5,6,7,9,10,14],[2,5,8,10,11,13,14],[3,4,5,6,10,11,14],[3,4,5,7,12,13,14],[3,4,7,8,10,11,12],[3,5,6,9,11,12,14],[3,6,7,8,9,11,13],[4,5,6,7,8,10,13]]; G[10842]:=Group([(1,4)(2,5)(6,7)(10,14)(11,13)]); # Design 10843: autom. group order 2, simple, residual B[10843]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,4,5,10,12,13],[1,2,6,7,9,10,11],[1,3,4,9,11,12,14],[1,3,6,9,10,13,14],[1,4,6,7,11,12,14],[1,4,8,9,10,12,13],[1,5,6,8,9,13,14],[1,5,7,8,10,11,12],[1,5,7,8,11,13,14],[2,3,5,10,11,13,14],[2,3,7,8,9,12,14],[2,4,6,8,10,12,14],[2,4,6,8,11,13,14],[2,4,7,8,9,11,13],[2,5,6,7,9,12,13],[2,5,9,10,11,12,14],[3,4,5,6,11,12,13],[3,4,5,7,8,10,14],[3,4,7,9,10,11,13],[3,5,6,8,9,11,12],[3,6,7,8,10,12,13],[4,5,6,7,9,10,14]]; G[10843]:=Group([(1,4)(2,5)(6,7)(11,14)]); # Design 10844: autom. group order 2, simple, residual B[10844]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,4,5,10,12,14],[1,2,6,7,11,12,14],[1,3,4,10,11,13,14],[1,3,6,9,12,13,14],[1,4,6,7,8,11,13],[1,4,8,9,10,12,14],[1,5,6,8,10,12,13],[1,5,7,8,9,10,11],[1,5,7,9,11,13,14],[2,3,5,10,11,13,14],[2,3,7,8,10,12,13],[2,4,6,8,9,13,14],[2,4,6,9,10,11,13],[2,4,7,8,11,12,14],[2,5,6,7,9,10,14],[2,5,8,9,11,12,13],[3,4,5,6,9,11,12],[3,4,5,7,8,13,14],[3,4,7,9,10,11,12],[3,5,6,8,11,12,14],[3,6,7,8,9,10,14],[4,5,6,7,10,12,13]]; G[10844]:=Group([(1,4)(2,5)(6,7)(10,14)(11,13)]); # Design 10845: autom. group order 2, simple B[10845]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,4,5,11,12,14],[1,2,6,7,12,13,14],[1,3,4,9,10,13,14],[1,3,6,9,11,13,14],[1,4,6,7,8,9,14],[1,4,8,10,11,12,13],[1,5,6,8,10,12,14],[1,5,7,8,9,11,13],[1,5,7,9,10,11,12],[2,3,5,9,11,12,14],[2,3,7,8,10,11,14],[2,4,6,8,9,10,12],[2,4,6,9,11,12,13],[2,4,7,8,11,13,14],[2,5,6,7,9,10,13],[2,5,8,9,10,13,14],[3,4,5,6,10,11,13],[3,4,5,7,8,12,13],[3,4,7,9,10,12,14],[3,5,6,8,12,13,14],[3,6,7,8,9,11,12],[4,5,6,7,10,11,14]]; G[10845]:=Group([(1,4)(2,5)(6,7)(10,13)(11,12)]); # Design 10846: autom. group order 2, simple, residual B[10846]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,4,5,11,12,13],[1,2,6,7,9,11,14],[1,3,4,10,11,12,14],[1,3,6,8,9,13,14],[1,4,6,7,9,12,13],[1,4,9,10,11,13,14],[1,5,6,8,10,12,14],[1,5,7,8,9,12,14],[1,5,7,8,10,11,13],[2,3,5,9,10,13,14],[2,3,7,9,11,12,14],[2,4,6,8,9,10,12],[2,4,6,8,11,13,14],[2,4,7,8,10,12,14],[2,5,6,7,10,13,14],[2,5,8,9,11,12,13],[3,4,5,6,12,13,14],[3,4,5,7,8,11,14],[3,4,7,8,9,10,13],[3,5,6,9,10,11,12],[3,6,7,8,11,12,13],[4,5,6,7,9,10,11]]; G[10846]:=Group([(1,4)(2,5)(6,7)(10,14)]); # Design 10847: autom. group order 2, simple, residual B[10847]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,4,5,10,12,13],[1,2,6,7,9,10,11],[1,3,4,10,11,12,14],[1,3,6,8,9,13,14],[1,4,6,7,9,12,13],[1,4,9,10,11,13,14],[1,5,6,8,10,13,14],[1,5,7,8,9,11,12],[1,5,7,8,11,12,14],[2,3,5,9,11,13,14],[2,3,7,9,10,12,14],[2,4,6,8,9,12,14],[2,4,6,8,11,12,14],[2,4,7,8,10,11,13],[2,5,6,7,11,13,14],[2,5,8,9,10,12,13],[3,4,5,6,11,12,13],[3,4,5,7,8,10,14],[3,4,7,8,9,11,13],[3,5,6,9,10,11,12],[3,6,7,8,10,12,13],[4,5,6,7,9,10,14]]; G[10847]:=Group([(1,4)(2,5)(6,7)(11,14)]); # Design 10848: autom. group order 2, simple B[10848]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,11,12],[1,2,4,5,10,13,14],[1,2,6,7,9,12,13],[1,3,4,8,9,12,14],[1,3,6,9,11,13,14],[1,4,6,7,10,13,14],[1,4,8,9,10,12,13],[1,5,6,8,11,12,14],[1,5,7,8,11,12,13],[1,5,7,9,10,11,14],[2,3,5,10,12,13,14],[2,3,7,8,12,13,14],[2,4,6,8,11,13,14],[2,4,6,9,10,11,12],[2,4,7,9,11,12,14],[2,5,6,7,8,9,14],[2,5,8,9,10,11,13],[3,4,5,6,11,12,13],[3,4,5,7,9,11,13],[3,4,7,8,10,11,14],[3,5,6,9,10,12,14],[3,6,7,8,9,10,13],[4,5,6,7,8,10,12]]; G[10848]:=Group([(1,4)(2,5)(6,7)(8,9)(10,13)]); # Design 10849: autom. group order 2, simple B[10849]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,4,5,10,11,14],[1,2,6,7,9,12,14],[1,3,4,8,9,12,13],[1,3,6,9,11,13,14],[1,4,6,7,11,12,13],[1,4,8,9,10,12,14],[1,5,6,8,10,13,14],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,5,10,12,13,14],[2,3,7,8,11,12,14],[2,4,6,8,11,13,14],[2,4,6,9,10,11,12],[2,4,7,9,10,13,14],[2,5,6,7,8,9,13],[2,5,8,9,11,12,13],[3,4,5,6,12,13,14],[3,4,5,7,9,11,14],[3,4,7,8,10,11,13],[3,5,6,9,10,11,12],[3,6,7,8,9,10,14],[4,5,6,7,8,10,12]]; G[10849]:=Group([(1,4)(2,5)(6,7)(8,9)(10,14)]); # Design 10850: autom. group order 2, simple, residual B[10850]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,4,5,10,12,14],[1,2,6,7,9,11,14],[1,3,4,8,9,11,13],[1,3,6,9,12,13,14],[1,4,6,7,11,12,13],[1,4,8,9,10,12,14],[1,5,6,8,10,13,14],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,5,10,11,13,14],[2,3,7,8,12,13,14],[2,4,6,8,11,13,14],[2,4,6,9,10,12,13],[2,4,7,9,10,11,14],[2,5,6,7,8,9,12],[2,5,8,9,11,12,13],[3,4,5,6,11,12,14],[3,4,5,7,9,13,14],[3,4,7,8,10,11,12],[3,5,6,9,10,11,12],[3,6,7,8,9,10,14],[4,5,6,7,8,10,13]]; G[10850]:=Group([(1,4)(2,5)(6,7)(8,9)(10,14)(11,13)]); # Design 10851: autom. group order 2, simple, residual B[10851]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,10,12],[1,2,4,5,11,12,13],[1,2,6,7,8,13,14],[1,3,4,10,11,13,14],[1,3,6,9,12,13,14],[1,4,6,7,11,12,13],[1,4,8,9,10,12,14],[1,5,6,9,10,11,14],[1,5,7,8,9,10,13],[1,5,7,8,11,12,14],[2,3,5,10,11,13,14],[2,3,7,9,11,12,14],[2,4,6,8,9,11,14],[2,4,6,9,10,12,13],[2,4,7,8,10,13,14],[2,5,6,7,10,12,14],[2,5,8,9,11,12,13],[3,4,5,6,8,12,14],[3,4,5,7,9,13,14],[3,4,7,8,10,11,12],[3,5,6,8,10,12,13],[3,6,7,8,9,11,13],[4,5,6,7,9,10,11]]; G[10851]:=Group([(1,4)(2,5)(6,7)(8,9)(10,14)(11,13)]); # Design 10852: autom. group order 2, simple, residual B[10852]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,5,11,12,13],[1,2,6,9,11,13,14],[1,3,4,8,10,13,14],[1,3,6,9,12,13,14],[1,4,6,7,8,11,14],[1,4,7,9,10,11,12],[1,5,6,7,8,9,12],[1,5,7,10,11,13,14],[1,5,8,9,10,12,14],[2,3,5,9,10,11,14],[2,3,7,8,11,12,14],[2,4,6,7,10,12,14],[2,4,6,8,9,10,14],[2,4,8,9,11,12,13],[2,5,6,7,9,10,13],[2,5,7,8,12,13,14],[3,4,5,6,12,13,14],[3,4,5,7,9,11,14],[3,4,7,9,10,12,13],[3,5,6,8,10,11,12],[3,6,7,8,9,11,13],[4,5,6,8,10,11,13]]; G[10852]:=Group([(1,5)(2,4)(8,9)(10,14)(11,13)]); # Design 10853: autom. group order 2, simple, residual B[10853]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,4,5,10,12,14],[1,2,6,9,11,13,14],[1,3,4,10,11,13,14],[1,3,6,8,11,12,14],[1,4,6,7,8,9,12],[1,4,7,8,9,11,13],[1,5,6,9,10,12,13],[1,5,7,8,12,13,14],[1,5,7,9,10,11,14],[2,3,5,8,9,11,13],[2,3,7,9,12,13,14],[2,4,6,8,11,12,14],[2,4,7,8,10,13,14],[2,4,7,9,10,11,12],[2,5,6,7,11,12,13],[2,5,6,8,9,10,14],[3,4,5,6,7,13,14],[3,4,5,9,11,12,14],[3,4,6,9,10,12,13],[3,5,7,8,10,11,12],[3,6,7,8,9,10,14],[4,5,6,8,10,11,13]]; G[10853]:=Group([(1,4)(2,5)(8,9)(10,14)(11,13)]); # Design 10854: autom. group order 2, simple, residual B[10854]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,5,10,12,13],[1,2,6,9,10,12,14],[1,3,4,8,9,11,14],[1,3,6,9,11,12,13],[1,4,6,7,11,12,14],[1,4,7,8,9,10,13],[1,5,6,8,10,13,14],[1,5,7,8,10,11,12],[1,5,7,9,11,13,14],[2,3,5,10,11,13,14],[2,3,7,8,11,12,13],[2,4,6,9,10,11,13],[2,4,7,8,10,11,14],[2,4,7,9,12,13,14],[2,5,6,7,8,9,12],[2,5,6,8,9,11,14],[3,4,5,6,7,13,14],[3,4,5,9,10,11,12],[3,4,6,8,10,12,14],[3,5,7,9,10,12,14],[3,6,7,8,9,10,13],[4,5,6,8,11,12,13]]; G[10854]:=Group([(1,4)(2,5)(8,9)(10,13)(11,14)]); # Design 10855: autom. group order 2, simple, residual B[10855]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,5,10,12,13],[1,2,6,8,9,10,14],[1,3,4,10,11,12,14],[1,3,6,9,11,12,13],[1,4,6,7,8,9,13],[1,4,7,9,11,13,14],[1,5,6,8,10,11,14],[1,5,7,8,12,13,14],[1,5,7,9,10,11,12],[2,3,5,9,11,13,14],[2,3,7,8,9,11,12],[2,4,6,8,11,12,14],[2,4,7,8,10,11,13],[2,4,7,9,10,12,14],[2,5,6,7,11,13,14],[2,5,6,9,10,12,13],[3,4,5,6,7,12,14],[3,4,5,8,10,11,13],[3,4,6,9,10,13,14],[3,5,7,8,9,10,14],[3,6,7,8,10,12,13],[4,5,6,8,9,11,12]]; G[10855]:=Group([(1,4)(2,5)(10,12)(11,14)]); # Design 10856: autom. group order 2, simple, residual B[10856]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,5,10,12,13],[1,2,6,8,9,11,12],[1,3,4,10,11,12,14],[1,3,6,9,10,13,14],[1,4,6,7,8,9,13],[1,4,7,9,11,13,14],[1,5,6,8,10,11,14],[1,5,7,8,12,13,14],[1,5,7,9,10,11,12],[2,3,5,9,11,13,14],[2,3,7,8,9,10,14],[2,4,6,8,11,12,14],[2,4,7,8,10,11,13],[2,4,7,9,10,12,14],[2,5,6,7,11,13,14],[2,5,6,9,10,12,13],[3,4,5,6,7,12,14],[3,4,5,8,10,11,13],[3,4,6,9,11,12,13],[3,5,7,8,9,11,12],[3,6,7,8,10,12,13],[4,5,6,8,9,10,14]]; G[10856]:=Group([(1,4)(2,5)(10,12)(11,14)]); # Design 10857: autom. group order 2, simple, residual B[10857]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,4,5,10,12,14],[1,2,6,8,11,13,14],[1,3,4,10,11,13,14],[1,3,6,9,11,12,14],[1,4,6,7,8,9,12],[1,4,7,9,11,12,13],[1,5,6,8,9,13,14],[1,5,7,8,10,12,13],[1,5,7,9,10,11,14],[2,3,5,9,11,12,13],[2,3,7,8,9,13,14],[2,4,6,8,9,10,11],[2,4,7,8,11,12,14],[2,4,7,9,10,13,14],[2,5,6,7,11,12,13],[2,5,6,9,10,12,14],[3,4,5,6,7,13,14],[3,4,5,8,11,12,14],[3,4,6,9,10,12,13],[3,5,7,8,9,10,11],[3,6,7,8,10,12,14],[4,5,6,8,10,11,13]]; G[10857]:=Group([(1,4)(2,5)(10,14)(11,13)]); # Design 10858: autom. group order 2, simple, residual B[10858]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,4,5,11,12,13],[1,2,6,9,11,12,14],[1,3,4,7,10,12,14],[1,3,6,7,8,13,14],[1,4,6,7,11,12,13],[1,4,8,9,10,12,14],[1,5,6,9,10,13,14],[1,5,7,8,9,11,14],[1,5,7,8,10,11,13],[2,3,5,10,11,13,14],[2,3,7,8,12,13,14],[2,4,6,8,10,11,14],[2,4,7,8,9,10,13],[2,4,7,9,11,13,14],[2,5,6,7,8,9,12],[2,5,6,7,10,12,14],[3,4,5,6,9,13,14],[3,4,5,8,11,12,14],[3,4,6,7,9,10,11],[3,5,7,9,10,11,12],[3,6,8,9,11,12,13],[4,5,6,8,10,12,13]]; G[10858]:=Group([(1,4)(2,5)(8,9)(10,14)(11,13)]); # Design 10859: autom. group order 2, simple, residual B[10859]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,4,5,11,12,13],[1,2,6,9,11,12,14],[1,3,4,7,10,12,14],[1,3,6,7,8,13,14],[1,4,6,10,11,13,14],[1,4,8,9,10,12,14],[1,5,6,7,9,12,13],[1,5,7,8,9,11,14],[1,5,7,8,10,11,13],[2,3,5,10,11,13,14],[2,3,7,8,12,13,14],[2,4,6,7,8,11,12],[2,4,7,8,9,10,13],[2,4,7,9,11,13,14],[2,5,6,7,10,12,14],[2,5,6,8,9,10,14],[3,4,5,6,9,13,14],[3,4,5,8,11,12,14],[3,4,6,7,9,10,11],[3,5,7,9,10,11,12],[3,6,8,9,11,12,13],[4,5,6,8,10,12,13]]; G[10859]:=Group([(1,4)(2,5)(8,9)(10,14)(11,13)]); # Design 10860: autom. group order 2, simple, residual B[10860]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,4,5,11,12,13],[1,2,6,9,11,12,14],[1,3,4,7,10,12,14],[1,3,6,7,8,13,14],[1,4,6,10,11,13,14],[1,4,8,9,10,12,14],[1,5,6,7,8,11,12],[1,5,7,8,9,10,13],[1,5,7,9,11,13,14],[2,3,5,10,11,13,14],[2,3,7,8,12,13,14],[2,4,6,7,9,12,13],[2,4,7,8,9,11,14],[2,4,7,8,10,11,13],[2,5,6,7,10,12,14],[2,5,6,8,9,10,14],[3,4,5,6,9,13,14],[3,4,5,8,11,12,14],[3,4,6,7,9,10,11],[3,5,7,9,10,11,12],[3,6,8,9,11,12,13],[4,5,6,8,10,12,13]]; G[10860]:=Group([(1,4)(2,5)(8,9)(10,14)(11,13)]); # Design 10861: autom. group order 2, simple B[10861]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,5,11,12,14],[1,2,6,8,11,13,14],[1,3,4,7,10,12,14],[1,3,6,9,12,13,14],[1,4,7,8,9,11,14],[1,4,9,10,11,12,13],[1,5,6,7,8,12,13],[1,5,6,8,9,10,11],[1,5,7,9,10,13,14],[2,3,5,9,11,13,14],[2,3,8,9,10,12,14],[2,4,6,7,9,10,11],[2,4,6,8,10,13,14],[2,4,7,8,9,12,13],[2,5,6,7,9,12,14],[2,5,7,10,11,12,13],[3,4,5,6,9,10,13],[3,4,5,8,11,12,13],[3,4,6,7,11,13,14],[3,5,7,8,10,11,14],[3,6,7,8,9,11,12],[4,5,6,8,10,12,14]]; G[10861]:=Group([(1,5)(2,4)(6,8)(7,9)(10,13)(11,12)]); # Design 10862: autom. group order 2, simple, residual B[10862]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,12,13,14],[1,2,4,5,10,12,13],[1,2,6,7,9,11,12],[1,3,4,10,11,12,14],[1,3,6,7,8,13,14],[1,4,7,8,9,12,13],[1,4,7,10,11,13,14],[1,5,6,8,11,12,14],[1,5,6,9,10,13,14],[1,5,7,8,9,10,11],[2,3,5,7,11,13,14],[2,3,7,8,10,12,14],[2,4,6,8,10,11,13],[2,4,6,9,11,12,14],[2,4,7,8,9,10,14],[2,5,6,7,10,12,13],[2,5,8,9,11,13,14],[3,4,5,6,9,10,14],[3,4,5,8,11,12,13],[3,4,6,7,9,11,13],[3,5,7,9,10,11,12],[3,6,8,9,10,12,13],[4,5,6,7,8,12,14]]; G[10862]:=Group([(1,4)(2,5)(8,9)(11,14)]); # Design 10863: autom. group order 2, simple, residual B[10863]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,4,5,11,12,13],[1,2,6,7,8,12,14],[1,3,4,10,11,12,14],[1,3,6,7,9,13,14],[1,4,7,8,9,12,13],[1,4,7,10,11,13,14],[1,5,6,8,10,12,14],[1,5,6,9,10,11,13],[1,5,7,8,9,11,14],[2,3,5,7,10,13,14],[2,3,7,9,11,12,14],[2,4,6,8,11,13,14],[2,4,6,9,10,12,14],[2,4,7,8,9,10,11],[2,5,6,7,11,12,13],[2,5,8,9,10,13,14],[3,4,5,6,9,11,14],[3,4,5,8,12,13,14],[3,4,6,7,8,10,13],[3,5,7,8,10,11,12],[3,6,8,9,11,12,13],[4,5,6,7,9,10,12]]; G[10863]:=Group([(1,4)(2,5)(8,9)(10,14)]); # Design 10864: autom. group order 2, simple, residual B[10864]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,12,13,14],[1,2,4,5,10,12,13],[1,2,6,7,8,12,14],[1,3,4,10,11,12,14],[1,3,6,7,9,11,13],[1,4,7,8,9,12,13],[1,4,7,10,11,13,14],[1,5,6,8,11,12,14],[1,5,6,9,10,13,14],[1,5,7,8,9,10,11],[2,3,5,7,11,13,14],[2,3,7,9,10,11,12],[2,4,6,8,10,11,13],[2,4,6,9,11,12,14],[2,4,7,8,9,10,14],[2,5,6,7,10,12,13],[2,5,8,9,11,13,14],[3,4,5,6,9,10,14],[3,4,5,8,11,12,13],[3,4,6,7,8,13,14],[3,5,7,8,10,12,14],[3,6,8,9,10,12,13],[4,5,6,7,9,11,12]]; G[10864]:=Group([(1,4)(2,5)(8,9)(11,14)]); # Design 10865: autom. group order 2, simple, residual B[10865]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,12,13,14],[1,2,4,5,10,12,13],[1,2,6,9,11,12,14],[1,3,4,10,11,12,14],[1,3,6,7,8,11,13],[1,4,7,8,9,12,13],[1,4,7,10,11,13,14],[1,5,6,7,9,11,12],[1,5,6,8,10,13,14],[1,5,7,8,9,10,14],[2,3,5,7,11,13,14],[2,3,7,8,10,12,14],[2,4,6,7,8,12,14],[2,4,6,9,10,11,13],[2,4,7,8,9,10,11],[2,5,6,7,10,12,13],[2,5,8,9,11,13,14],[3,4,5,6,9,10,14],[3,4,5,8,11,12,13],[3,4,6,7,9,13,14],[3,5,7,9,10,11,12],[3,6,8,9,10,12,13],[4,5,6,8,11,12,14]]; G[10865]:=Group([(1,4)(2,5)(8,9)(11,14)]); # Design 10866: autom. group order 2, simple, residual B[10866]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,12,13,14],[1,2,4,5,10,12,13],[1,2,6,9,11,12,14],[1,3,4,10,11,12,14],[1,3,6,7,8,13,14],[1,4,7,8,9,12,13],[1,4,7,10,11,13,14],[1,5,6,7,9,11,12],[1,5,6,8,10,13,14],[1,5,7,8,9,10,11],[2,3,5,7,11,13,14],[2,3,7,8,10,11,12],[2,4,6,7,8,12,14],[2,4,6,9,10,11,13],[2,4,7,8,9,10,14],[2,5,6,7,10,12,13],[2,5,8,9,11,13,14],[3,4,5,6,9,10,14],[3,4,5,8,11,12,13],[3,4,6,7,9,11,13],[3,5,7,9,10,12,14],[3,6,8,9,10,12,13],[4,5,6,8,11,12,14]]; G[10866]:=Group([(1,4)(2,5)(8,9)(11,14)]); # Design 10867: autom. group order 2, simple, residual B[10867]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,4,5,11,12,13],[1,2,6,8,11,12,14],[1,3,4,10,11,13,14],[1,3,6,7,9,12,14],[1,4,7,8,9,12,13],[1,4,7,10,11,12,14],[1,5,6,7,9,10,13],[1,5,6,8,10,13,14],[1,5,7,8,9,11,14],[2,3,5,7,10,12,14],[2,3,7,9,11,13,14],[2,4,6,7,8,13,14],[2,4,6,9,10,13,14],[2,4,7,8,9,10,11],[2,5,6,7,11,12,13],[2,5,8,9,10,12,14],[3,4,5,6,9,11,14],[3,4,5,8,12,13,14],[3,4,6,7,8,10,12],[3,5,7,8,10,11,13],[3,6,8,9,11,12,13],[4,5,6,9,10,11,12]]; G[10867]:=Group([(1,4)(2,5)(8,9)(10,14)]); # Design 10868: autom. group order 2, simple, residual B[10868]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,12,13,14],[1,2,4,5,10,12,13],[1,2,6,8,11,12,14],[1,3,4,10,11,12,14],[1,3,6,7,9,13,14],[1,4,7,8,9,12,13],[1,4,7,10,11,13,14],[1,5,6,7,9,11,12],[1,5,6,8,10,13,14],[1,5,7,8,9,10,11],[2,3,5,7,11,13,14],[2,3,7,9,10,11,12],[2,4,6,7,8,12,14],[2,4,6,9,10,11,13],[2,4,7,8,9,10,14],[2,5,6,7,10,12,13],[2,5,8,9,11,13,14],[3,4,5,6,9,10,14],[3,4,5,8,11,12,13],[3,4,6,7,8,11,13],[3,5,7,8,10,12,14],[3,6,8,9,10,12,13],[4,5,6,9,11,12,14]]; G[10868]:=Group([(1,4)(2,5)(8,9)(11,14)]); # Design 10869: autom. group order 2, simple, residual B[10869]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,4,5,11,12,13],[1,2,6,8,11,12,14],[1,3,4,10,11,13,14],[1,3,6,7,9,12,14],[1,4,7,8,9,12,13],[1,4,7,10,11,12,14],[1,5,6,7,8,13,14],[1,5,6,9,10,13,14],[1,5,7,8,9,10,11],[2,3,5,7,10,12,14],[2,3,7,9,11,13,14],[2,4,6,7,9,10,13],[2,4,6,8,10,13,14],[2,4,7,8,9,11,14],[2,5,6,7,11,12,13],[2,5,8,9,10,12,14],[3,4,5,6,9,11,14],[3,4,5,8,12,13,14],[3,4,6,7,8,10,12],[3,5,7,8,10,11,13],[3,6,8,9,11,12,13],[4,5,6,9,10,11,12]]; G[10869]:=Group([(1,4)(2,5)(8,9)(10,14)]); # Design 10870: autom. group order 2, simple, residual B[10870]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,5,12,13,14],[1,2,6,8,9,12,13],[1,3,4,8,10,12,14],[1,3,7,9,11,12,14],[1,4,6,7,8,11,14],[1,4,6,9,10,11,13],[1,5,6,8,10,13,14],[1,5,7,8,9,11,13],[1,5,7,9,10,12,14],[2,3,5,9,11,13,14],[2,3,7,8,10,13,14],[2,4,6,9,11,12,14],[2,4,7,8,9,10,12],[2,4,7,8,11,13,14],[2,5,6,7,9,10,14],[2,5,6,8,10,11,12],[3,4,5,6,7,12,13],[3,4,5,8,9,10,11],[3,4,6,9,10,13,14],[3,5,6,8,11,12,14],[3,6,7,8,9,12,13],[4,5,7,10,11,12,13]]; G[10870]:=Group([(1,2)(4,5)(8,9)(10,11)(12,13)]); # Design 10871: autom. group order 2, simple, residual B[10871]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,4,5,10,11,14],[1,2,6,10,11,12,13],[1,3,4,8,10,12,14],[1,3,7,9,10,13,14],[1,4,6,7,9,12,14],[1,4,6,8,11,13,14],[1,5,6,8,9,10,13],[1,5,7,8,11,12,13],[1,5,7,9,11,12,14],[2,3,5,9,11,13,14],[2,3,7,8,11,12,14],[2,4,6,8,9,11,12],[2,4,7,8,10,13,14],[2,4,7,9,10,12,13],[2,5,6,7,8,13,14],[2,5,6,9,10,12,14],[3,4,5,6,12,13,14],[3,4,5,10,11,12,13],[3,4,6,7,9,11,13],[3,5,6,7,8,10,12],[3,6,8,9,10,11,14],[4,5,7,8,9,10,11]]; G[10871]:=Group([(1,2)(4,5)(8,9)(10,11)(12,13)]); # Design 10872: autom. group order 2, simple, residual B[10872]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,5,12,13,14],[1,2,6,8,9,12,13],[1,3,4,8,10,12,14],[1,3,7,9,11,12,14],[1,4,6,8,10,11,13],[1,4,6,9,11,13,14],[1,5,6,7,9,10,14],[1,5,7,8,9,10,13],[1,5,7,8,11,12,14],[2,3,5,9,11,13,14],[2,3,7,8,10,13,14],[2,4,6,7,8,11,14],[2,4,7,8,9,11,12],[2,4,7,9,10,13,14],[2,5,6,8,10,12,14],[2,5,6,9,10,11,12],[3,4,5,6,7,12,13],[3,4,5,8,9,10,11],[3,4,6,9,10,12,14],[3,5,6,8,11,13,14],[3,6,7,8,9,12,13],[4,5,7,10,11,12,13]]; G[10872]:=Group([(1,2)(4,5)(8,9)(10,11)(12,13)]); # Design 10873: autom. group order 2, simple, residual B[10873]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,11,12,13],[1,2,4,5,12,13,14],[1,2,6,8,9,12,13],[1,3,4,8,10,12,14],[1,3,7,9,11,12,14],[1,4,6,8,11,13,14],[1,4,6,9,10,11,13],[1,5,6,7,8,10,14],[1,5,7,8,9,11,12],[1,5,7,9,10,13,14],[2,3,5,9,11,13,14],[2,3,7,8,10,13,14],[2,4,6,7,9,11,14],[2,4,7,8,9,10,13],[2,4,7,8,11,12,14],[2,5,6,8,10,11,12],[2,5,6,9,10,12,14],[3,4,5,6,7,12,13],[3,4,5,8,9,10,11],[3,4,6,9,10,12,14],[3,5,6,8,11,13,14],[3,6,7,8,9,12,13],[4,5,7,10,11,12,13]]; G[10873]:=Group([(1,2)(4,5)(8,9)(10,11)(12,13)]); # Design 10874: autom. group order 2, simple, residual B[10874]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,4,5,10,11,14],[1,2,6,10,11,12,13],[1,3,4,8,10,12,14],[1,3,7,9,11,12,14],[1,4,6,7,8,13,14],[1,4,7,9,11,12,13],[1,5,6,8,9,10,12],[1,5,6,8,11,13,14],[1,5,7,9,10,13,14],[2,3,5,9,11,13,14],[2,3,7,8,10,13,14],[2,4,6,8,9,11,13],[2,4,6,9,10,12,14],[2,4,7,8,11,12,14],[2,5,6,7,9,12,14],[2,5,7,8,10,12,13],[3,4,5,6,12,13,14],[3,4,5,10,11,12,13],[3,4,6,7,9,10,13],[3,5,6,7,8,11,12],[3,6,8,9,10,11,14],[4,5,7,8,9,10,11]]; G[10874]:=Group([(1,2)(4,5)(8,9)(10,11)(12,13)]); # Design 10875: autom. group order 2, simple, residual B[10875]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,12,13],[1,2,4,5,10,11,14],[1,2,6,10,11,12,13],[1,3,4,8,10,12,14],[1,3,7,9,11,12,14],[1,4,6,8,9,10,13],[1,4,7,9,11,12,13],[1,5,6,7,8,12,14],[1,5,6,8,11,13,14],[1,5,7,9,10,13,14],[2,3,5,9,11,13,14],[2,3,7,8,10,13,14],[2,4,6,7,9,13,14],[2,4,6,9,10,12,14],[2,4,7,8,11,12,14],[2,5,6,8,9,11,12],[2,5,7,8,10,12,13],[3,4,5,6,7,12,13],[3,4,5,10,11,12,13],[3,4,6,8,11,13,14],[3,5,6,9,10,12,14],[3,6,7,8,9,10,11],[4,5,7,8,9,10,11]]; G[10875]:=Group([(1,2)(4,5)(8,9)(10,11)(12,13)]); # Design 10876: autom. group order 2, simple B[10876]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,5,11,12,13],[1,2,6,8,9,11,14],[1,3,4,8,9,12,13],[1,3,7,8,10,11,13],[1,4,6,7,8,10,14],[1,4,9,10,12,13,14],[1,5,6,7,9,10,12],[1,5,6,9,11,13,14],[1,5,7,8,11,12,14],[2,3,5,8,9,10,14],[2,3,7,9,11,12,14],[2,4,6,7,9,13,14],[2,4,6,8,10,11,13],[2,4,7,9,10,11,12],[2,5,6,7,8,12,13],[2,5,8,10,12,13,14],[3,4,5,6,10,12,14],[3,4,5,7,11,13,14],[3,4,6,8,11,12,14],[3,5,6,9,10,11,13],[3,6,7,8,9,12,13],[4,5,7,8,9,10,11]]; G[10876]:=Group([(1,4)(2,5)(6,7)(10,14)(12,13)]); # Design 10877: autom. group order 2, simple B[10877]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,4,5,11,12,14],[1,2,6,9,10,12,14],[1,3,4,8,9,13,14],[1,3,7,9,10,11,14],[1,4,6,7,11,12,14],[1,4,8,9,11,12,13],[1,5,6,7,9,11,13],[1,5,6,8,10,13,14],[1,5,7,8,10,12,13],[2,3,5,11,12,13,14],[2,3,7,8,11,13,14],[2,4,6,7,8,12,13],[2,4,6,9,10,11,13],[2,4,7,9,10,13,14],[2,5,6,7,8,9,14],[2,5,8,9,10,11,12],[3,4,5,6,10,11,13],[3,4,5,7,9,10,12],[3,4,6,8,10,12,14],[3,5,6,9,12,13,14],[3,6,7,8,9,11,12],[4,5,7,8,10,11,14]]; G[10877]:=Group([(1,4)(2,5)(6,7)(8,9)(11,12)]); # Design 10878: autom. group order 2, simple B[10878]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,4,5,12,13,14],[1,2,6,9,11,12,13],[1,3,4,8,9,12,14],[1,3,7,9,10,13,14],[1,4,6,7,10,11,12],[1,4,8,9,10,11,13],[1,5,6,7,9,11,14],[1,5,6,8,10,13,14],[1,5,7,8,11,12,14],[2,3,5,10,11,13,14],[2,3,7,8,11,12,14],[2,4,6,7,8,10,14],[2,4,6,9,10,12,14],[2,4,7,9,11,13,14],[2,5,6,7,8,9,13],[2,5,8,9,10,11,12],[3,4,5,6,11,12,13],[3,4,5,7,9,10,11],[3,4,6,8,11,13,14],[3,5,6,9,10,12,14],[3,6,7,8,9,12,13],[4,5,7,8,10,12,13]]; G[10878]:=Group([(1,4)(2,5)(6,7)(8,9)(10,11)]); # Design 10879: autom. group order 2, simple B[10879]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,4,5,12,13,14],[1,2,6,9,11,12,14],[1,3,4,8,9,12,14],[1,3,7,9,10,13,14],[1,4,6,7,10,11,12],[1,4,8,9,10,11,13],[1,5,6,7,9,11,14],[1,5,6,8,10,13,14],[1,5,7,8,11,12,13],[2,3,5,10,11,13,14],[2,3,7,8,11,12,14],[2,4,6,7,8,10,14],[2,4,6,9,10,12,13],[2,4,7,9,11,13,14],[2,5,6,7,8,9,13],[2,5,8,9,10,11,12],[3,4,5,6,11,12,13],[3,4,5,7,9,10,11],[3,4,6,8,11,13,14],[3,5,6,9,10,12,14],[3,6,7,8,9,12,13],[4,5,7,8,10,12,14]]; G[10879]:=Group([(1,4)(2,5)(6,7)(8,9)(10,11)]); # Design 10880: autom. group order 2, simple, residual B[10880]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,10,12,13,14],[1,2,4,5,10,11,12],[1,2,8,9,11,13,14],[1,3,4,6,8,13,14],[1,3,7,8,11,12,13],[1,4,6,9,11,12,13],[1,4,7,8,9,10,14],[1,5,6,7,8,12,14],[1,5,6,9,10,11,14],[1,5,7,9,10,12,13],[2,3,5,7,9,13,14],[2,3,6,9,11,12,14],[2,4,6,7,9,12,13],[2,4,6,8,10,12,14],[2,4,7,8,10,11,13],[2,5,6,8,9,10,13],[2,5,7,8,11,12,14],[3,4,5,8,9,11,12],[3,4,5,10,12,13,14],[3,4,7,9,10,11,14],[3,5,6,8,10,11,13],[3,6,7,8,9,10,12],[4,5,6,7,11,13,14]]; G[10880]:=Group([(1,2)(4,5)(6,7)(8,9)(13,14)]); # Design 10881: autom. group order 2, simple, residual B[10881]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,5,11,13,14],[1,2,7,9,11,12,13],[1,3,4,6,9,12,14],[1,3,7,9,10,13,14],[1,4,6,8,9,10,11],[1,4,7,8,11,12,14],[1,5,6,7,8,10,12],[1,5,6,7,11,13,14],[1,5,8,9,10,12,13],[2,3,5,7,9,10,11],[2,3,6,8,12,13,14],[2,4,6,7,8,9,13],[2,4,6,7,10,12,13],[2,4,9,10,11,12,14],[2,5,6,8,10,11,14],[2,5,7,8,9,12,14],[3,4,5,7,10,12,14],[3,4,5,8,11,12,13],[3,4,7,8,10,11,13],[3,5,6,9,11,12,13],[3,6,7,8,9,11,14],[4,5,6,9,10,13,14]]; G[10881]:=Group([(1,5)(2,4)(6,7)(10,12)(11,14)]); # Design 10882: autom. group order 2, simple B[10882]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,5,10,11,13],[1,2,8,9,12,13,14],[1,3,4,6,8,12,14],[1,3,7,8,11,12,13],[1,4,6,7,9,10,12],[1,4,7,8,9,11,14],[1,5,6,7,9,11,13],[1,5,6,8,10,13,14],[1,5,9,10,11,12,14],[2,3,5,7,9,12,14],[2,3,6,9,11,13,14],[2,4,6,8,11,12,13],[2,4,7,8,9,10,13],[2,4,7,10,11,12,14],[2,5,6,7,8,11,14],[2,5,6,8,9,10,12],[3,4,5,8,10,11,14],[3,4,5,9,11,12,13],[3,4,6,9,10,13,14],[3,5,7,8,10,12,13],[3,6,7,8,9,10,11],[4,5,6,7,12,13,14]]; G[10882]:=Group([(1,4)(2,5)(6,8)(7,9)(10,11)(12,14)]); # Design 10883: autom. group order 2, simple B[10883]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,5,9,10,14],[1,2,7,9,11,13,14],[1,3,4,6,7,12,13],[1,3,7,8,9,12,14],[1,4,6,7,10,11,14],[1,4,8,9,11,12,13],[1,5,6,8,10,13,14],[1,5,6,9,12,13,14],[1,5,7,8,10,11,12],[2,3,5,10,12,13,14],[2,3,6,9,11,12,14],[2,4,6,8,11,13,14],[2,4,7,8,10,12,14],[2,4,7,9,10,12,13],[2,5,6,7,8,9,11],[2,5,6,7,8,12,13],[3,4,5,7,11,13,14],[3,4,5,8,11,12,14],[3,4,6,8,9,10,13],[3,5,7,9,10,11,13],[3,6,7,8,9,10,14],[4,5,6,9,10,11,12]]; G[10883]:=Group([(1,4)(2,5)(6,7)(10,14)(12,13)]); # Design 10884: autom. group order 2, simple, residual B[10884]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,6,9,10,14],[1,2,5,7,11,13,14],[1,3,4,6,12,13,14],[1,3,5,8,9,12,13],[1,4,5,7,11,12,14],[1,4,7,8,10,11,12],[1,5,9,10,12,13,14],[1,6,7,8,9,10,14],[1,6,7,8,9,11,13],[2,3,7,8,9,12,14],[2,3,7,9,11,12,14],[2,4,5,7,9,10,13],[2,4,6,7,8,12,13],[2,4,8,10,12,13,14],[2,5,6,8,11,13,14],[2,5,6,9,10,11,12],[3,4,5,8,10,11,14],[3,4,6,9,11,13,14],[3,4,7,9,10,11,13],[3,5,6,7,8,10,14],[3,5,6,7,10,12,13],[4,5,6,8,9,11,12]]; G[10884]:=Group([(1,5)(2,12)(3,9)(4,13)(6,10)(7,14)]); # Design 10885: autom. group order 2, simple B[10885]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,6,9,13,14],[1,2,5,7,10,13,14],[1,3,4,6,11,12,14],[1,3,5,8,9,12,13],[1,4,5,7,10,12,14],[1,4,7,8,9,10,11],[1,5,9,11,12,13,14],[1,6,7,8,9,11,14],[1,6,7,8,10,12,13],[2,3,7,8,9,12,14],[2,3,7,9,10,12,14],[2,4,5,8,10,11,14],[2,4,6,7,8,12,13],[2,4,8,11,12,13,14],[2,5,6,7,9,11,13],[2,5,6,9,10,11,12],[3,4,5,7,11,12,13],[3,4,6,9,10,13,14],[3,4,7,9,10,11,13],[3,5,6,7,8,11,14],[3,5,6,8,10,13,14],[4,5,6,8,9,10,12]]; G[10885]:=Group([(1,5)(2,12)(3,9)(4,13)(6,11)(7,14)]); # Design 10886: autom. group order 2, simple B[10886]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,6,9,13,14],[1,2,5,7,10,13,14],[1,3,4,6,11,12,14],[1,3,5,8,9,12,13],[1,4,5,7,10,12,14],[1,4,7,8,9,10,11],[1,5,9,11,12,13,14],[1,6,7,8,9,11,14],[1,6,7,8,10,12,13],[2,3,7,8,9,12,14],[2,3,7,9,10,12,14],[2,4,5,8,10,11,14],[2,4,6,8,12,13,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,13],[2,5,6,9,10,11,12],[3,4,5,7,11,12,13],[3,4,6,7,9,10,13],[3,4,9,10,11,13,14],[3,5,6,7,8,11,14],[3,5,6,8,10,13,14],[4,5,6,8,9,10,12]]; G[10886]:=Group([(1,5)(2,12)(3,9)(4,13)(6,11)(7,14)]); # Design 10887: autom. group order 2, simple B[10887]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,11,13],[1,2,5,9,11,13,14],[1,3,4,8,12,13,14],[1,3,5,6,9,12,14],[1,4,5,7,10,11,12],[1,4,7,9,10,11,13],[1,5,7,8,10,12,14],[1,6,7,8,9,11,12],[1,6,8,9,10,13,14],[2,3,7,11,12,13,14],[2,3,8,9,10,11,12],[2,4,5,8,10,12,13],[2,4,6,7,9,10,14],[2,4,7,8,9,12,14],[2,5,6,7,9,12,13],[2,5,6,8,10,11,14],[3,4,5,9,10,11,14],[3,4,6,7,8,11,14],[3,4,6,9,10,12,13],[3,5,6,7,8,10,13],[3,5,7,8,9,11,13],[4,5,6,11,12,13,14]]; G[10887]:=Group([(2,3)(4,5)(8,9)(11,12)(13,14)]); # Design 10888: autom. group order 2, simple, residual B[10888]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,12,13,14],[1,2,4,6,11,12,13],[1,2,5,7,10,12,14],[1,3,4,7,9,13,14],[1,3,5,9,10,11,12],[1,4,5,6,11,13,14],[1,4,7,8,9,11,12],[1,5,7,8,9,10,13],[1,6,7,8,10,11,14],[1,6,8,9,12,13,14],[2,3,7,8,11,12,13],[2,3,7,9,11,13,14],[2,4,5,8,10,13,14],[2,4,6,7,9,10,12],[2,4,8,9,10,11,14],[2,5,6,7,9,11,14],[2,5,6,8,9,12,13],[3,4,5,8,11,12,14],[3,4,6,7,8,10,13],[3,4,6,9,10,12,14],[3,5,6,7,8,12,14],[3,5,6,9,10,11,13],[4,5,7,10,11,12,13]]; G[10888]:=Group([(1,12)(2,14)(4,8)(9,11)]); # Design 10889: autom. group order 2, simple B[10889]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,4,6,12,13,14],[1,2,5,7,10,11,14],[1,3,4,9,10,11,14],[1,3,5,8,12,13,14],[1,4,5,10,11,12,13],[1,4,6,8,9,10,12],[1,5,6,7,8,11,13],[1,6,7,9,11,12,14],[1,7,8,9,10,13,14],[2,3,6,7,10,12,14],[2,3,8,9,11,13,14],[2,4,5,9,11,12,14],[2,4,6,8,10,13,14],[2,4,7,8,11,12,13],[2,5,6,9,10,11,13],[2,5,7,8,9,10,12],[3,4,5,7,10,13,14],[3,4,6,7,9,11,13],[3,4,7,8,10,11,12],[3,5,6,8,11,12,14],[3,5,6,9,10,12,13],[4,5,6,7,8,9,14]]; G[10889]:=Group([(2,3)(4,5)(6,8)(7,9)(10,11)(12,13)]); # Design 10890: autom. group order 2, simple, residual B[10890]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,6,11,12,13],[1,2,5,9,11,13,14],[1,3,4,8,11,12,14],[1,3,5,9,10,12,14],[1,4,5,7,10,13,14],[1,4,6,8,9,13,14],[1,5,6,7,9,10,11],[1,6,7,8,10,12,14],[1,7,8,9,11,12,13],[2,3,6,7,8,9,14],[2,3,9,10,12,13,14],[2,4,5,8,10,12,13],[2,4,6,9,10,11,14],[2,4,7,8,10,11,14],[2,5,6,7,12,13,14],[2,5,7,8,9,11,12],[3,4,5,7,11,12,14],[3,4,6,7,9,12,13],[3,4,7,9,10,11,13],[3,5,6,8,10,11,13],[3,5,6,8,11,13,14],[4,5,6,8,9,10,12]]; G[10890]:=Group([(1,7)(2,9)(3,11)(4,12)(5,8)(6,13)]); # Design 10891: autom. group order 2, simple, residual B[10891]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,12,13,14],[1,2,4,6,10,12,13],[1,2,5,9,10,12,14],[1,3,4,7,11,13,14],[1,3,5,9,10,13,14],[1,4,5,8,11,12,13],[1,4,6,8,9,11,14],[1,5,7,8,10,11,12],[1,6,7,8,9,12,14],[1,6,7,9,10,11,13],[2,3,6,7,9,11,12],[2,3,8,10,11,12,14],[2,4,5,7,9,10,11],[2,4,6,8,10,13,14],[2,4,7,8,9,12,13],[2,5,6,9,11,13,14],[2,5,7,8,11,13,14],[3,4,5,6,11,12,14],[3,4,7,8,9,10,14],[3,4,9,10,11,12,13],[3,5,6,7,8,10,13],[3,5,6,8,9,12,13],[4,5,6,7,10,12,14]]; G[10891]:=Group([(1,14)(3,13)(4,11)(6,8)]); # Design 10892: autom. group order 2, simple, residual B[10892]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,11,13],[1,2,5,9,10,11,14],[1,3,4,7,12,13,14],[1,3,5,9,11,13,14],[1,4,5,8,10,12,13],[1,4,6,8,9,12,14],[1,5,7,8,10,11,12],[1,6,7,8,9,10,14],[1,6,7,9,11,12,13],[2,3,6,8,11,12,14],[2,3,7,8,9,10,12],[2,4,5,7,9,11,12],[2,4,6,7,9,10,13],[2,4,8,10,11,13,14],[2,5,6,9,12,13,14],[2,5,7,8,12,13,14],[3,4,5,6,10,12,14],[3,4,7,8,9,11,14],[3,4,9,10,11,12,13],[3,5,6,7,8,11,13],[3,5,6,8,9,10,13],[4,5,6,7,10,11,14]]; G[10892]:=Group([(1,14)(3,13)(4,12)(6,8)]); # Design 10893: autom. group order 2, simple, residual B[10893]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,6,10,11,13],[1,2,5,7,9,11,14],[1,3,4,9,12,13,14],[1,3,5,8,11,12,14],[1,4,5,7,10,12,13],[1,4,7,8,9,10,11],[1,5,6,9,10,12,14],[1,6,7,8,9,11,13],[1,6,7,8,12,13,14],[2,3,6,7,9,12,13],[2,3,7,8,9,10,12],[2,4,5,6,8,13,14],[2,4,6,9,11,12,14],[2,4,7,8,11,12,14],[2,5,7,9,10,13,14],[2,5,8,10,11,12,13],[3,4,5,7,11,12,13],[3,4,6,7,8,10,14],[3,4,9,10,11,13,14],[3,5,6,7,10,11,14],[3,5,6,8,9,11,13],[4,5,6,8,9,10,12]]; G[10893]:=Group([(1,11)(3,12)(5,14)(7,9)]); # Design 10894: autom. group order 2, simple, residual B[10894]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,8,10,13,14],[1,2,5,9,11,12,14],[1,3,4,8,10,12,14],[1,3,5,9,11,13,14],[1,4,5,6,12,13,14],[1,4,6,7,8,11,13],[1,5,6,7,9,10,13],[1,6,7,8,9,12,14],[1,7,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,8,9,13,14],[2,4,5,7,8,11,12],[2,4,6,7,9,11,14],[2,4,6,9,10,12,13],[2,5,6,8,10,11,14],[2,5,7,10,12,13,14],[3,4,5,7,9,10,12],[3,4,6,9,10,11,14],[3,4,7,11,12,13,14],[3,5,6,7,8,10,14],[3,5,6,8,11,12,13],[4,5,8,9,10,11,13]]; G[10894]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 10895: autom. group order 2, simple, residual B[10895]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,8,10,13,14],[1,2,5,8,11,12,14],[1,3,4,9,10,12,14],[1,3,5,9,11,13,14],[1,4,5,6,12,13,14],[1,4,6,7,9,10,13],[1,5,6,7,8,11,13],[1,6,7,8,9,12,14],[1,7,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,8,9,13,14],[2,4,5,7,9,11,12],[2,4,6,7,9,11,14],[2,4,6,8,10,11,14],[2,5,6,9,10,12,13],[2,5,7,10,12,13,14],[3,4,5,7,8,10,12],[3,4,6,8,11,12,13],[3,4,7,11,12,13,14],[3,5,6,7,8,10,14],[3,5,6,9,10,11,14],[4,5,8,9,10,11,13]]; G[10895]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 10896: autom. group order 2, simple, residual B[10896]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,8,10,12,14],[1,2,5,8,11,13,14],[1,3,4,9,10,13,14],[1,3,5,9,11,12,14],[1,4,5,6,12,13,14],[1,4,6,7,9,11,13],[1,5,6,7,8,10,13],[1,6,7,8,9,12,14],[1,7,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,8,9,13,14],[2,4,5,7,9,10,12],[2,4,6,7,8,11,14],[2,4,6,9,10,11,14],[2,5,6,9,11,12,13],[2,5,7,10,12,13,14],[3,4,5,7,8,11,12],[3,4,6,8,10,12,13],[3,4,7,11,12,13,14],[3,5,6,7,9,10,14],[3,5,6,8,10,11,14],[4,5,8,9,10,11,13]]; G[10896]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 10897: autom. group order 2, simple, residual B[10897]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,8,10,13,14],[1,2,5,8,11,12,14],[1,3,4,9,10,12,14],[1,3,5,9,11,13,14],[1,4,5,6,12,13,14],[1,4,6,7,9,11,13],[1,5,6,7,8,10,13],[1,6,7,8,9,12,14],[1,7,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,8,9,13,14],[2,4,5,7,9,11,12],[2,4,6,7,8,11,14],[2,4,6,9,10,12,13],[2,5,6,9,10,11,14],[2,5,7,10,12,13,14],[3,4,5,7,8,10,12],[3,4,6,8,10,11,14],[3,4,7,11,12,13,14],[3,5,6,7,9,10,14],[3,5,6,8,11,12,13],[4,5,8,9,10,11,13]]; G[10897]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 10898: autom. group order 2, simple, residual B[10898]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,8,10,12,14],[1,2,5,8,11,13,14],[1,3,4,9,10,13,14],[1,3,5,9,11,12,14],[1,4,5,6,12,13,14],[1,4,6,7,8,10,13],[1,5,6,7,9,11,13],[1,6,7,8,9,12,14],[1,7,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,8,9,13,14],[2,4,5,7,8,11,12],[2,4,6,7,9,11,14],[2,4,6,9,10,11,14],[2,5,6,9,10,12,13],[2,5,7,10,12,13,14],[3,4,5,7,9,10,12],[3,4,6,8,11,12,13],[3,4,7,11,12,13,14],[3,5,6,7,8,10,14],[3,5,6,8,10,11,14],[4,5,8,9,10,11,13]]; G[10898]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 10899: autom. group order 2, simple, residual B[10899]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,8,10,12,14],[1,2,5,8,11,13,14],[1,3,4,9,10,13,14],[1,3,5,9,11,12,14],[1,4,5,6,12,13,14],[1,4,6,7,8,10,13],[1,5,6,7,9,11,13],[1,6,7,8,9,12,14],[1,7,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,8,9,13,14],[2,4,5,7,8,11,12],[2,4,6,9,10,11,14],[2,4,6,9,11,12,13],[2,5,6,7,9,10,14],[2,5,7,10,12,13,14],[3,4,5,7,9,10,12],[3,4,6,7,8,11,14],[3,4,7,11,12,13,14],[3,5,6,8,10,11,14],[3,5,6,8,10,12,13],[4,5,8,9,10,11,13]]; G[10899]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 10900: autom. group order 2, simple, residual B[10900]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,5,8,11,12,14],[1,3,4,9,10,12,14],[1,3,5,7,9,11,13],[1,4,5,6,7,12,14],[1,4,6,9,10,13,14],[1,5,6,8,11,13,14],[1,6,7,8,9,12,13],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,12,14],[2,4,5,9,11,12,13],[2,4,6,7,8,10,11],[2,4,6,9,11,12,13],[2,5,6,8,9,10,14],[2,5,7,9,10,13,14],[3,4,5,8,10,12,13],[3,4,6,8,9,11,14],[3,4,7,8,11,13,14],[3,5,6,7,9,10,11],[3,5,6,8,10,12,13],[4,5,7,10,11,12,14]]; G[10900]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 10901: autom. group order 2, simple, residual B[10901]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,5,8,11,12,14],[1,3,4,9,10,12,14],[1,3,5,7,9,11,13],[1,4,5,6,7,12,14],[1,4,6,9,10,13,14],[1,5,6,8,11,13,14],[1,6,7,8,9,12,13],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,9,11,12,13],[2,4,6,7,8,10,11],[2,4,6,9,11,12,13],[2,5,6,8,9,10,14],[2,5,7,9,10,12,14],[3,4,5,8,10,12,13],[3,4,6,8,9,11,14],[3,4,7,8,11,12,14],[3,5,6,7,9,10,11],[3,5,6,8,10,12,13],[4,5,7,10,11,13,14]]; G[10901]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 10902: autom. group order 2, simple, residual B[10902]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,5,8,11,12,14],[1,3,4,9,10,12,14],[1,3,5,7,9,11,13],[1,4,5,6,7,12,14],[1,4,6,9,11,13,14],[1,5,6,8,10,13,14],[1,6,7,8,9,12,13],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,12,14],[2,4,5,8,11,12,13],[2,4,6,8,9,10,14],[2,4,6,9,11,12,13],[2,5,6,7,9,10,11],[2,5,7,9,10,13,14],[3,4,5,9,10,12,13],[3,4,6,7,8,10,11],[3,4,7,8,11,13,14],[3,5,6,8,9,11,14],[3,5,6,8,10,12,13],[4,5,7,10,11,12,14]]; G[10902]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 10903: autom. group order 2, simple, residual B[10903]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,5,8,11,12,14],[1,3,4,9,10,12,14],[1,3,5,7,9,11,13],[1,4,5,6,7,12,14],[1,4,6,8,11,13,14],[1,5,6,9,10,13,14],[1,6,7,8,9,12,13],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,9,11,12,13],[2,4,6,8,9,10,14],[2,4,6,9,11,12,13],[2,5,6,7,8,10,11],[2,5,7,9,10,12,14],[3,4,5,8,10,12,13],[3,4,6,7,9,10,11],[3,4,7,8,11,12,14],[3,5,6,8,9,11,14],[3,5,6,8,10,12,13],[4,5,7,10,11,13,14]]; G[10903]:=Group([(2,3)(4,5)(8,9)(10,11)]); # Design 10904: autom. group order 2, simple, residual B[10904]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,5,9,11,12,14],[1,3,4,8,11,12,13],[1,3,5,7,9,10,14],[1,4,5,6,11,13,14],[1,4,6,7,9,12,14],[1,5,6,7,8,12,13],[1,6,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,9,10,12,13],[2,4,6,7,9,10,11],[2,4,6,8,10,12,14],[2,5,6,8,9,11,13],[2,5,7,8,11,12,14],[3,4,5,8,10,12,14],[3,4,6,8,9,11,14],[3,4,7,9,11,12,13],[3,5,6,7,8,10,11],[3,5,6,9,10,12,13],[4,5,7,10,11,13,14]]; G[10904]:=Group([(2,3)(4,5)(8,9)(13,14)]); # Design 10905: autom. group order 2, simple, residual B[10905]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,5,9,11,12,13],[1,3,4,8,11,12,14],[1,3,5,7,9,10,14],[1,4,5,6,11,13,14],[1,4,6,7,9,12,13],[1,5,6,7,8,12,14],[1,6,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,9,10,12,14],[2,4,6,7,8,10,11],[2,4,6,9,10,12,14],[2,5,6,8,9,11,13],[2,5,7,8,11,12,14],[3,4,5,8,10,12,13],[3,4,6,8,9,11,14],[3,4,7,9,11,12,13],[3,5,6,7,9,10,11],[3,5,6,8,10,12,13],[4,5,7,10,11,13,14]]; G[10905]:=Group([(2,3)(4,5)(8,9)(13,14)]); # Design 10906: autom. group order 2, simple, residual B[10906]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,5,9,11,12,13],[1,3,4,8,11,12,14],[1,3,5,7,9,10,14],[1,4,5,6,11,13,14],[1,4,6,7,9,12,13],[1,5,6,7,8,12,14],[1,6,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,8,10,12,14],[2,4,6,7,9,10,11],[2,4,6,8,9,11,14],[2,5,6,8,10,12,13],[2,5,7,9,11,12,14],[3,4,5,9,10,12,13],[3,4,6,9,10,12,14],[3,4,7,8,11,12,13],[3,5,6,7,8,10,11],[3,5,6,8,9,11,13],[4,5,7,10,11,13,14]]; G[10906]:=Group([(2,3)(4,5)(8,9)(13,14)]); # Design 10907: autom. group order 2, simple, residual B[10907]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,5,9,11,12,13],[1,3,4,8,11,12,14],[1,3,5,7,9,10,14],[1,4,5,6,11,13,14],[1,4,6,7,8,12,13],[1,5,6,7,9,12,14],[1,6,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,8,10,12,14],[2,4,6,7,9,10,11],[2,4,6,9,10,12,14],[2,5,6,8,9,11,13],[2,5,7,8,11,12,14],[3,4,5,9,10,12,13],[3,4,6,8,9,11,14],[3,4,7,9,11,12,13],[3,5,6,7,8,10,11],[3,5,6,8,10,12,13],[4,5,7,10,11,13,14]]; G[10907]:=Group([(2,3)(4,5)(8,9)(13,14)]); # Design 10908: autom. group order 2, simple, residual B[10908]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,5,9,11,12,13],[1,3,4,8,11,12,14],[1,3,5,7,9,10,14],[1,4,5,6,11,13,14],[1,4,6,7,8,12,14],[1,5,6,7,9,12,13],[1,6,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,8,10,12,13],[2,4,6,7,9,10,11],[2,4,6,9,10,12,14],[2,5,6,8,9,11,14],[2,5,7,8,11,12,14],[3,4,5,9,10,12,14],[3,4,6,8,9,11,13],[3,4,7,9,11,12,13],[3,5,6,7,8,10,11],[3,5,6,8,10,12,13],[4,5,7,10,11,13,14]]; G[10908]:=Group([(2,3)(4,5)(8,9)(13,14)]); # Design 10909: autom. group order 2, simple, residual B[10909]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,5,8,11,12,14],[1,3,4,9,11,12,13],[1,3,5,7,9,10,14],[1,4,5,6,11,13,14],[1,4,6,7,9,12,14],[1,5,6,7,8,12,13],[1,6,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,9,10,12,13],[2,4,6,7,9,10,11],[2,4,6,8,10,12,14],[2,5,6,8,9,11,13],[2,5,7,9,11,12,14],[3,4,5,8,10,12,14],[3,4,6,8,9,11,14],[3,4,7,8,11,12,13],[3,5,6,7,8,10,11],[3,5,6,9,10,12,13],[4,5,7,10,11,13,14]]; G[10909]:=Group([(2,3)(4,5)(8,9)(13,14)]); # Design 10910: autom. group order 2, simple, residual B[10910]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,5,8,11,12,13],[1,3,4,9,11,12,14],[1,3,5,7,9,10,14],[1,4,5,6,11,13,14],[1,4,6,7,9,12,13],[1,5,6,7,8,12,14],[1,6,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,8,10,12,14],[2,4,6,7,9,10,11],[2,4,6,8,9,11,14],[2,5,6,9,10,12,13],[2,5,7,9,11,12,14],[3,4,5,9,10,12,13],[3,4,6,8,10,12,14],[3,4,7,8,11,12,13],[3,5,6,7,8,10,11],[3,5,6,8,9,11,13],[4,5,7,10,11,13,14]]; G[10910]:=Group([(2,3)(4,5)(8,9)(13,14)]); # Design 10911: autom. group order 2, simple, residual B[10911]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,5,8,11,12,13],[1,3,4,9,11,12,14],[1,3,5,7,9,10,14],[1,4,5,6,11,13,14],[1,4,6,7,8,12,14],[1,5,6,7,9,12,13],[1,6,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,9,10,12,13],[2,4,6,7,9,10,11],[2,4,6,8,9,11,14],[2,5,6,8,10,12,14],[2,5,7,9,11,12,14],[3,4,5,8,10,12,14],[3,4,6,9,10,12,13],[3,4,7,8,11,12,13],[3,5,6,7,8,10,11],[3,5,6,8,9,11,13],[4,5,7,10,11,13,14]]; G[10911]:=Group([(2,3)(4,5)(8,9)(13,14)]); # Design 10912: autom. group order 2, simple, residual B[10912]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,5,9,11,12,13],[1,3,4,8,11,12,14],[1,3,5,7,9,10,14],[1,4,5,6,11,13,14],[1,4,6,7,9,12,13],[1,5,6,7,8,12,14],[1,6,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,8,10,12,13],[2,4,6,8,9,11,14],[2,4,6,9,10,12,14],[2,5,6,7,9,10,11],[2,5,7,8,11,12,14],[3,4,5,9,10,12,14],[3,4,6,7,8,10,11],[3,4,7,9,11,12,13],[3,5,6,8,9,11,13],[3,5,6,8,10,12,13],[4,5,7,10,11,13,14]]; G[10912]:=Group([(2,3)(4,5)(8,9)(13,14)]); # Design 10913: autom. group order 2, simple, residual B[10913]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,5,9,11,12,13],[1,3,4,8,11,12,14],[1,3,5,7,9,10,14],[1,4,5,6,11,13,14],[1,4,6,7,9,12,14],[1,5,6,7,8,12,13],[1,6,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,8,10,12,14],[2,4,6,8,9,11,14],[2,4,6,9,10,12,13],[2,5,6,7,8,10,11],[2,5,7,9,11,12,14],[3,4,5,9,10,12,13],[3,4,6,7,9,10,11],[3,4,7,8,11,12,13],[3,5,6,8,9,11,13],[3,5,6,8,10,12,14],[4,5,7,10,11,13,14]]; G[10913]:=Group([(2,3)(4,5)(8,9)(13,14)]); # Design 10914: autom. group order 2, simple, residual B[10914]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,7,8,10,13],[1,2,5,9,11,12,13],[1,3,4,8,11,12,14],[1,3,5,7,9,10,14],[1,4,5,6,11,13,14],[1,4,6,7,8,12,13],[1,5,6,7,9,12,14],[1,6,8,9,10,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,9,10,12,13],[2,4,6,8,9,11,14],[2,4,6,9,10,12,14],[2,5,6,7,8,10,11],[2,5,7,8,11,12,14],[3,4,5,8,10,12,14],[3,4,6,7,9,10,11],[3,4,7,9,11,12,13],[3,5,6,8,9,11,13],[3,5,6,8,10,12,13],[4,5,7,10,11,13,14]]; G[10914]:=Group([(2,3)(4,5)(8,9)(13,14)]); # Design 10915: autom. group order 2, simple, residual B[10915]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,8,10,12,13],[1,2,5,7,9,11,14],[1,3,4,7,8,11,13],[1,3,5,9,10,12,14],[1,4,5,6,10,13,14],[1,4,6,7,9,12,13],[1,5,6,7,8,12,14],[1,6,8,9,11,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,8,11,12,14],[2,4,6,7,9,10,11],[2,4,6,8,9,10,14],[2,5,6,8,11,12,13],[2,5,7,9,10,12,13],[3,4,5,9,11,12,13],[3,4,6,9,11,12,14],[3,4,7,8,10,12,14],[3,5,6,7,8,10,11],[3,5,6,8,9,10,13],[4,5,7,10,11,13,14]]; G[10915]:=Group([(2,3)(4,5)(8,9)(13,14)]); # Design 10916: autom. group order 2, simple, residual B[10916]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,8,10,12,13],[1,2,5,7,8,11,14],[1,3,4,7,9,11,13],[1,3,5,9,10,12,14],[1,4,5,6,10,13,14],[1,4,6,7,8,12,14],[1,5,6,7,9,12,13],[1,6,8,9,11,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,9,11,12,13],[2,4,6,7,9,10,11],[2,4,6,8,9,10,14],[2,5,6,9,11,12,14],[2,5,7,8,10,12,13],[3,4,5,8,11,12,14],[3,4,6,8,11,12,13],[3,4,7,9,10,12,14],[3,5,6,7,8,10,11],[3,5,6,8,9,10,13],[4,5,7,10,11,13,14]]; G[10916]:=Group([(2,3)(4,5)(8,9)(13,14)]); # Design 10917: autom. group order 2, simple, residual B[10917]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,8,10,12,13],[1,2,5,7,9,11,13],[1,3,4,7,8,10,14],[1,3,5,9,11,12,14],[1,4,5,6,12,13,14],[1,4,6,7,9,10,13],[1,5,6,7,8,11,14],[1,6,8,9,12,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,8,11,12,13],[2,4,6,8,9,11,14],[2,4,6,9,10,11,14],[2,5,6,7,9,10,12],[2,5,7,8,10,12,14],[3,4,5,9,10,12,14],[3,4,6,7,8,11,12],[3,4,7,9,11,12,13],[3,5,6,8,9,10,13],[3,5,6,8,10,11,13],[4,5,7,10,11,13,14]]; G[10917]:=Group([(2,3)(4,5)(8,9)(10,11)(13,14)]); # Design 10918: autom. group order 2, simple, residual B[10918]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,8,10,12,13],[1,2,5,7,9,11,14],[1,3,4,7,8,11,13],[1,3,5,9,10,12,14],[1,4,5,6,10,13,14],[1,4,6,7,9,12,14],[1,5,6,7,8,12,13],[1,6,8,9,11,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,8,11,12,14],[2,4,6,8,9,10,14],[2,4,6,9,11,12,13],[2,5,6,7,8,10,11],[2,5,7,9,10,12,13],[3,4,5,9,11,12,13],[3,4,6,7,9,10,11],[3,4,7,8,10,12,14],[3,5,6,8,9,10,13],[3,5,6,8,11,12,14],[4,5,7,10,11,13,14]]; G[10918]:=Group([(2,3)(4,5)(8,9)(13,14)]); # Design 10919: autom. group order 2, simple, residual B[10919]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,10,11,13,14],[1,2,4,8,10,12,13],[1,2,5,7,8,11,14],[1,3,4,7,9,11,13],[1,3,5,9,10,12,14],[1,4,5,6,10,13,14],[1,4,6,7,8,12,14],[1,5,6,7,9,12,13],[1,6,8,9,11,13,14],[1,7,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,7,8,9,13,14],[2,4,5,9,11,12,14],[2,4,6,8,9,10,14],[2,4,6,9,11,12,13],[2,5,6,7,9,10,11],[2,5,7,8,10,12,13],[3,4,5,8,11,12,13],[3,4,6,7,8,10,11],[3,4,7,9,10,12,14],[3,5,6,8,9,10,13],[3,5,6,8,11,12,14],[4,5,7,10,11,13,14]]; G[10919]:=Group([(2,3)(4,5)(8,9)(13,14)]); # Design 10920: autom. group order 2, simple, residual B[10920]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,6,10,13,14],[1,2,5,8,9,13,14],[1,3,4,9,11,12,14],[1,3,5,7,12,13,14],[1,4,6,7,8,11,14],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,5,7,8,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,8,12,14],[2,3,7,9,10,12,13],[2,4,5,6,11,12,13],[2,4,5,7,9,11,12],[2,4,8,9,10,12,14],[2,5,7,8,10,11,14],[2,6,7,9,11,13,14],[3,4,5,7,10,13,14],[3,4,6,7,8,9,10],[3,4,8,11,12,13,14],[3,5,6,8,9,11,13],[3,5,6,9,10,11,14],[4,5,6,8,10,12,13]]; G[10920]:=Group([(1,12)(2,4)(3,11)(6,9)(8,13)(10,14)]); # Design 10921: autom. group order 2, simple, residual B[10921]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,4,6,11,12,14],[1,2,5,7,11,13,14],[1,3,4,7,10,11,13],[1,3,5,8,12,13,14],[1,4,6,7,9,12,13],[1,4,8,9,10,13,14],[1,5,6,9,11,12,14],[1,5,7,8,10,11,12],[1,6,7,8,9,10,14],[2,3,6,10,12,13,14],[2,3,7,8,9,11,14],[2,4,5,7,9,10,12],[2,4,5,8,10,12,14],[2,4,6,7,8,13,14],[2,5,6,9,10,11,13],[2,7,8,9,11,12,13],[3,4,5,9,11,13,14],[3,4,6,8,9,11,12],[3,4,7,10,11,12,14],[3,5,6,7,8,12,13],[3,5,6,7,9,10,14],[4,5,6,8,10,11,13]]; G[10921]:=Group([(1,8)(2,12)(3,5)(4,13)(6,7)(9,14)]); # Design 10922: autom. group order 2, simple, residual B[10922]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,12,13,14],[1,2,4,6,9,12,13],[1,2,5,8,11,12,14],[1,3,4,7,10,11,13],[1,3,6,7,11,12,14],[1,4,5,7,9,11,14],[1,4,5,10,12,13,14],[1,5,8,9,10,11,13],[1,6,7,8,9,10,12],[1,6,7,8,9,13,14],[2,3,5,7,9,10,12],[2,3,7,8,9,13,14],[2,4,6,9,11,12,13],[2,4,7,8,10,11,13],[2,4,7,8,11,12,14],[2,5,6,7,10,13,14],[2,5,6,9,10,11,14],[3,4,5,6,8,13,14],[3,4,6,9,10,11,14],[3,4,8,9,10,12,14],[3,5,6,8,11,12,13],[3,5,7,9,11,12,13],[4,5,6,7,8,10,12]]; G[10922]:=Group([(2,4)(3,5)(6,9)(7,8)(10,14)(12,13)]); # Design 10923: autom. group order 2, simple, residual B[10923]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,10,12,13,14],[1,2,4,6,9,12,13],[1,2,5,7,10,11,12],[1,3,4,8,11,13,14],[1,3,7,9,10,11,13],[1,4,5,7,9,11,14],[1,4,5,10,12,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,10,13],[1,6,7,8,9,12,14],[2,3,5,6,7,13,14],[2,3,7,8,9,12,14],[2,4,6,9,11,12,13],[2,4,7,8,10,11,12],[2,4,7,8,11,13,14],[2,5,6,9,10,11,14],[2,5,8,9,10,13,14],[3,4,5,8,9,10,12],[3,4,6,7,10,12,14],[3,4,6,9,10,11,14],[3,5,6,8,11,12,13],[3,5,7,9,11,12,13],[4,5,6,7,8,10,13]]; G[10923]:=Group([(2,4)(3,5)(6,9)(7,8)(10,14)(12,13)]); # Design 10924: autom. group order 2, simple, residual B[10924]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,9,10,12,13],[1,2,5,6,11,13,14],[1,3,4,7,11,12,14],[1,3,6,8,9,12,14],[1,4,5,7,10,13,14],[1,4,5,8,10,12,14],[1,5,7,8,9,11,13],[1,6,7,8,9,12,13],[1,6,7,9,10,11,14],[2,3,5,7,9,12,14],[2,3,7,9,10,13,14],[2,4,6,7,8,11,14],[2,4,6,7,8,12,13],[2,4,9,11,12,13,14],[2,5,6,8,9,10,14],[2,5,7,8,10,11,12],[3,4,5,6,9,11,13],[3,4,6,8,10,13,14],[3,4,7,8,9,10,11],[3,5,6,7,10,12,13],[3,5,8,11,12,13,14],[4,5,6,9,10,11,12]]; G[10924]:=Group([(2,4)(3,5)(6,7)(11,14)(12,13)]); # Design 10925: autom. group order 2, simple, residual B[10925]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,11,13],[1,2,4,10,12,13,14],[1,2,5,6,8,12,14],[1,3,4,7,9,10,13],[1,3,6,9,11,13,14],[1,4,5,7,11,13,14],[1,4,5,9,11,12,14],[1,5,7,8,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,9,12,13],[2,3,5,7,8,13,14],[2,3,7,9,11,12,14],[2,4,6,7,8,9,11],[2,4,6,7,11,12,13],[2,4,8,9,10,11,14],[2,5,6,9,10,13,14],[2,5,7,9,10,12,13],[3,4,5,6,9,10,12],[3,4,6,8,12,13,14],[3,4,7,8,10,12,14],[3,5,6,7,10,11,14],[3,5,8,9,11,12,13],[4,5,6,8,10,11,13]]; G[10925]:=Group([(2,4)(3,5)(6,7)(8,9)(10,14)(12,13)]); # Design 10926: autom. group order 2, simple B[10926]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,4,10,11,12,14],[1,2,5,7,12,13,14],[1,3,4,7,10,11,13],[1,3,6,7,9,11,14],[1,4,5,6,9,12,14],[1,4,5,8,11,13,14],[1,5,6,7,8,10,12],[1,6,8,9,11,12,13],[1,7,8,9,10,13,14],[2,3,5,9,11,13,14],[2,3,6,8,12,13,14],[2,4,6,7,11,12,13],[2,4,6,8,9,10,14],[2,4,7,8,9,11,12],[2,5,6,7,9,10,13],[2,5,7,8,10,11,14],[3,4,5,8,10,12,13],[3,4,6,7,8,13,14],[3,4,7,9,10,12,14],[3,5,6,10,11,12,14],[3,5,7,8,9,11,12],[4,5,6,9,10,11,13]]; G[10926]:=Group([(2,4)(3,5)(8,9)(10,14)(11,12)]); # Design 10927: autom. group order 2, simple B[10927]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,4,10,11,12,14],[1,2,5,7,12,13,14],[1,3,4,7,10,11,13],[1,3,6,7,9,11,14],[1,4,5,6,9,12,14],[1,4,5,8,11,13,14],[1,5,6,7,8,10,12],[1,6,8,9,11,12,13],[1,7,8,9,10,13,14],[2,3,5,9,11,13,14],[2,3,6,8,12,13,14],[2,4,6,7,10,13,14],[2,4,6,8,9,10,14],[2,4,7,8,9,11,12],[2,5,6,7,8,11,13],[2,5,7,9,10,11,12],[3,4,5,8,10,12,13],[3,4,6,7,9,12,13],[3,4,7,8,11,12,14],[3,5,6,10,11,12,14],[3,5,7,8,9,10,14],[4,5,6,9,10,11,13]]; G[10927]:=Group([(2,4)(3,5)(8,9)(10,14)(11,12)]); # Design 10928: autom. group order 2, simple B[10928]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,4,10,11,12,14],[1,2,5,7,11,13,14],[1,3,4,7,10,12,13],[1,3,6,7,8,12,14],[1,4,5,6,9,12,14],[1,4,5,8,11,13,14],[1,5,6,7,9,10,11],[1,6,8,9,10,13,14],[1,7,8,9,11,12,13],[2,3,5,8,12,13,14],[2,3,6,9,11,13,14],[2,4,6,7,10,13,14],[2,4,6,8,9,11,12],[2,4,7,8,9,10,14],[2,5,6,7,9,12,13],[2,5,7,8,10,11,12],[3,4,5,9,10,11,13],[3,4,6,7,8,11,13],[3,4,7,9,11,12,14],[3,5,6,10,11,12,14],[3,5,7,8,9,10,14],[4,5,6,8,10,12,13]]; G[10928]:=Group([(2,4)(3,5)(8,9)(10,14)(11,12)]); # Design 10929: autom. group order 2, simple B[10929]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,12,13],[1,2,4,10,11,12,14],[1,2,5,7,11,13,14],[1,3,4,7,10,12,13],[1,3,6,7,8,12,14],[1,4,5,6,9,12,14],[1,4,5,8,11,13,14],[1,5,6,7,9,10,11],[1,6,8,9,11,12,13],[1,7,8,9,10,13,14],[2,3,5,8,12,13,14],[2,3,6,9,11,13,14],[2,4,6,7,10,13,14],[2,4,6,8,9,10,14],[2,4,7,8,9,11,12],[2,5,6,7,9,12,13],[2,5,7,8,10,11,12],[3,4,5,9,10,11,13],[3,4,6,7,8,11,13],[3,4,7,9,11,12,14],[3,5,6,10,11,12,14],[3,5,7,8,9,10,14],[4,5,6,8,10,12,13]]; G[10929]:=Group([(2,4)(3,5)(8,9)(10,14)(11,12)]); # Design 10930: autom. group order 2, simple B[10930]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,4,6,11,12,13],[1,2,5,10,11,12,14],[1,3,4,9,11,12,14],[1,3,6,7,9,13,14],[1,4,5,9,10,13,14],[1,4,7,8,12,13,14],[1,5,6,8,9,11,13],[1,5,7,8,10,11,14],[1,6,7,8,9,10,12],[2,3,5,7,8,13,14],[2,3,9,10,11,13,14],[2,4,5,7,9,10,12],[2,4,6,7,9,11,14],[2,4,6,8,10,13,14],[2,5,6,8,9,12,14],[2,7,8,9,11,12,13],[3,4,5,8,11,12,13],[3,4,6,8,10,12,14],[3,4,7,8,9,10,11],[3,5,6,7,11,12,14],[3,5,6,9,10,12,13],[4,5,6,7,10,11,13]]; G[10930]:=Group([(1,10)(2,8)(3,6)(5,14)(7,12)(9,13)]); # Design 10931: autom. group order 2, simple, residual B[10931]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,8,10,13,14],[1,2,4,6,9,11,13],[1,2,5,9,11,12,14],[1,3,4,7,9,10,14],[1,3,6,7,8,11,12],[1,4,5,8,10,12,13],[1,4,7,8,11,13,14],[1,5,6,9,10,13,14],[1,5,7,10,11,12,14],[1,6,7,8,9,12,13],[2,3,5,7,11,13,14],[2,3,7,9,10,12,13],[2,4,5,7,8,10,12],[2,4,6,7,12,13,14],[2,4,8,9,11,12,14],[2,5,6,8,10,11,13],[2,6,7,8,9,10,14],[3,4,5,6,12,13,14],[3,4,6,8,10,11,14],[3,4,9,10,11,12,13],[3,5,6,8,9,12,14],[3,5,7,8,9,11,13],[4,5,6,7,9,10,11]]; G[10931]:=Group([(1,11)(2,7)(3,5)(4,13)(6,14)(8,9)]); # Design 10932: autom. group order 2, simple B[10932]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,6,10,11,14],[1,2,5,9,11,13,14],[1,3,4,9,12,13,14],[1,3,7,8,9,11,14],[1,4,5,8,10,12,13],[1,4,6,7,9,10,13],[1,5,6,8,9,11,12],[1,5,7,10,11,12,14],[1,6,7,8,12,13,14],[2,3,5,6,12,13,14],[2,3,8,9,10,12,14],[2,4,5,7,8,11,12],[2,4,6,7,9,12,14],[2,4,8,10,11,13,14],[2,5,7,9,10,12,13],[2,6,7,8,9,11,13],[3,4,5,7,11,13,14],[3,4,6,8,11,12,13],[3,4,7,9,10,11,12],[3,5,6,7,8,10,14],[3,5,6,9,10,11,13],[4,5,6,8,9,10,14]]; G[10932]:=Group([(1,14)(2,10)(3,8)(4,6)(7,9)(12,13)]); # Design 10933: autom. group order 2, simple, residual B[10933]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,11,13],[1,2,5,9,11,12,13],[1,3,4,7,9,11,14],[1,3,6,9,12,13,14],[1,4,5,7,10,12,14],[1,4,8,9,10,13,14],[1,5,6,8,11,12,14],[1,5,7,8,10,11,13],[1,6,7,8,9,10,12],[2,3,5,8,10,12,14],[2,3,7,8,9,12,13],[2,4,6,7,8,12,14],[2,4,6,9,10,11,14],[2,4,7,10,11,12,13],[2,5,6,9,10,13,14],[2,5,7,8,9,11,14],[3,4,5,6,8,10,13],[3,4,5,11,12,13,14],[3,4,8,9,10,11,12],[3,5,6,7,9,10,11],[3,6,7,8,11,13,14],[4,5,6,7,9,12,13]]; G[10933]:=Group([(1,14)(3,10)(4,9)(5,6)(7,13)(8,11)]); # Design 10934: autom. group order 2, simple B[10934]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,11,12,13,14],[1,2,5,6,8,11,14],[1,3,4,7,10,12,14],[1,3,6,9,12,13,14],[1,4,5,9,10,11,12],[1,4,7,8,9,11,14],[1,5,6,7,8,12,13],[1,5,7,9,10,13,14],[1,6,8,9,10,11,13],[2,3,5,9,11,13,14],[2,3,8,9,10,12,14],[2,4,6,7,9,10,11],[2,4,6,8,10,13,14],[2,4,7,8,9,12,13],[2,5,6,7,9,12,14],[2,5,7,10,11,12,13],[3,4,5,6,9,10,13],[3,4,5,8,11,12,13],[3,4,6,7,11,13,14],[3,5,7,8,10,11,14],[3,6,7,8,9,11,12],[4,5,6,8,10,12,14]]; G[10934]:=Group([(1,14)(2,8)(3,10)(5,6)(7,12)(9,13)]);