B:=[]; G:=[]; # Design 1: autom. group order 3, simple B[1]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,12,13,14],[1,4,5,6,11,12,14],[1,4,6,7,9,11,13],[1,4,7,8,10,11,13],[1,5,7,8,9,10,14],[1,5,8,9,11,12,13],[1,6,7,8,10,12,14],[2,3,7,8,11,13,14],[2,4,6,7,10,12,13],[2,4,6,8,9,11,14],[2,4,7,8,9,12,14],[2,5,6,8,11,12,13],[2,5,6,9,10,13,14],[2,5,7,9,10,11,12],[3,4,5,7,11,12,14],[3,4,5,8,10,12,13],[3,4,6,8,9,10,12],[3,4,9,10,11,13,14],[3,5,6,7,8,13,14],[3,5,6,7,9,10,11]]; G[1]:=Group([(1,5,8)(2,12,7)(3,11,14)(4,13,10)]); # Design 2: autom. group order 3, simple B[2]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,11,12],[1,4,5,6,9,11,14],[1,4,6,7,12,13,14],[1,4,7,8,9,10,12],[1,5,7,8,10,11,14],[1,5,9,10,12,13,14],[1,6,7,8,9,11,13],[2,3,7,9,11,12,14],[2,4,6,8,10,13,14],[2,4,6,9,10,11,14],[2,4,7,8,11,12,14],[2,5,6,7,8,9,10],[2,5,6,7,10,12,13],[2,5,8,9,11,12,13],[3,4,5,7,10,11,13],[3,4,5,8,10,12,14],[3,4,6,8,9,12,13],[3,4,7,9,10,11,13],[3,5,6,7,9,12,14],[3,5,6,8,11,13,14]]; G[2]:=Group([(1,6,12)(3,10,11)(4,7,13)]); # Design 3: autom. group order 3, 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],[2,4,6,7,8,9,12],[2,4,6,8,11,12,13],[2,4,7,8,10,11,13],[2,5,6,7,10,11,14],[2,5,6,9,12,13,14],[2,5,8,9,10,11,14],[3,4,5,7,11,12,14],[3,4,5,8,11,12,14],[3,4,6,9,10,13,14],[3,4,7,9,10,11,13],[3,5,6,7,8,9,10],[3,5,6,8,10,12,13]]; G[3]:=Group([(1,2,10)(3,11,12)(4,5,14)]); # Design 4: autom. group order 3, simple, residual B[4]:=[[1,2,3,4,5,6,7],[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],[1,4,5,6,11,12,13],[1,4,6,7,8,12,14],[1,4,8,9,10,11,14],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[1,6,7,8,9,10,13],[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],[2,5,6,7,10,13,14],[2,5,8,9,10,12,14],[3,4,5,7,9,11,14],[3,4,5,8,10,12,13],[3,4,6,7,9,10,14],[3,4,7,8,10,12,13],[3,5,6,8,9,11,13],[3,5,6,10,11,12,14]]; G[4]:=Group([(1,9,14)(3,12,13)(4,8,10)]); # Design 5: autom. group order 3, simple, residual B[5]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,3,9,10,13,14],[1,2,4,5,11,12,13],[1,3,6,8,10,11,12],[1,4,5,9,10,11,14],[1,4,6,7,11,13,14],[1,4,6,8,9,12,13],[1,5,6,7,9,12,14],[1,5,7,8,10,12,14],[1,7,8,9,10,11,13],[2,3,7,9,11,12,14],[2,4,6,8,10,13,14],[2,4,6,9,10,12,14],[2,4,7,8,11,12,14],[2,5,6,7,8,9,10],[2,5,6,7,10,11,13],[2,5,8,9,11,12,13],[3,4,5,7,10,12,13],[3,4,5,8,10,11,14],[3,4,6,7,8,9,11],[3,4,7,9,10,12,13],[3,5,6,8,12,13,14],[3,5,6,9,11,13,14]]; G[5]:=Group([(1,6,11)(3,10,12)(4,7,13)]); # Design 6: autom. group order 3, simple, residual B[6]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,3,9,10,13,14],[1,2,4,5,10,11,12],[1,3,6,11,12,13,14],[1,4,5,8,11,13,14],[1,4,6,7,9,11,13],[1,4,6,8,9,12,14],[1,5,7,8,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,10,12],[2,3,7,8,9,11,12],[2,4,6,7,8,10,14],[2,4,7,10,12,13,14],[2,4,8,9,11,12,13],[2,5,6,7,9,11,14],[2,5,6,8,10,11,13],[2,5,6,9,12,13,14],[3,4,5,6,7,12,13],[3,4,5,9,10,12,14],[3,4,6,8,10,11,14],[3,4,7,9,10,11,13],[3,5,6,8,9,10,13],[3,5,7,8,11,12,14]]; G[6]:=Group([(1,8,11)(2,6,7)(3,10,9)(4,14,5)]); # Design 7: autom. group order 3, simple, residual B[7]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,3,9,10,13,14],[1,2,4,5,10,11,12],[1,3,6,11,12,13,14],[1,4,5,8,11,13,14],[1,4,6,7,9,11,13],[1,4,6,8,9,12,14],[1,5,7,8,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,10,12],[2,3,7,8,9,11,12],[2,4,6,8,10,11,14],[2,4,7,8,11,12,13],[2,4,9,10,12,13,14],[2,5,6,7,9,11,14],[2,5,6,7,12,13,14],[2,5,6,8,9,10,13],[3,4,5,6,9,12,13],[3,4,5,7,10,12,14],[3,4,6,7,8,10,14],[3,4,7,9,10,11,13],[3,5,6,8,10,11,13],[3,5,8,9,11,12,14]]; G[7]:=Group([(1,8,11)(2,10,7)(3,6,9)(4,5,13)]); # Design 8: autom. group order 3, simple, residual B[8]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,11],[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],[1,4,6,7,10,13,14],[1,4,8,9,11,12,13],[1,5,6,9,10,12,14],[1,5,7,8,11,13,14],[1,6,7,8,9,10,12],[2,3,7,9,12,13,14],[2,4,6,7,11,12,14],[2,4,6,8,9,10,13],[2,4,6,8,9,11,14],[2,5,6,7,8,12,13],[2,5,7,9,10,11,13],[2,5,8,10,11,12,14],[3,4,5,6,11,12,13],[3,4,5,8,10,12,14],[3,4,7,8,10,12,13],[3,4,7,9,10,11,14],[3,5,6,7,8,9,14],[3,5,6,9,10,11,13]]; G[8]:=Group([(2,12,13)(3,9,14)(4,10,11)(5,6,8)]); # Design 9: autom. group order 3, simple B[9]:=[[1,2,3,4,5,6,7],[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],[1,2,4,5,9,12,14],[1,3,6,7,9,10,14],[1,4,5,10,11,12,13],[1,4,6,8,9,11,13],[1,4,7,8,10,11,14],[1,5,6,8,12,13,14],[1,5,7,9,10,11,14],[1,6,7,8,9,12,13],[2,3,8,9,11,13,14],[2,4,6,7,8,10,12],[2,4,6,9,10,13,14],[2,4,7,8,11,12,14],[2,5,6,7,11,13,14],[2,5,6,9,10,11,12],[2,5,7,8,9,10,13],[3,4,5,6,7,11,13],[3,4,5,8,10,13,14],[3,4,6,9,11,12,14],[3,4,7,9,10,12,13],[3,5,6,8,10,12,14],[3,5,7,8,9,11,12]]; G[9]:=Group([(2,10,13)(3,11,12)(4,14,6)(5,7,8)]); # Design 10: autom. group order 3, simple, residual B[10]:=[[1,2,3,4,5,6,7],[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],[1,4,8,9,10,13,14],[1,5,6,8,11,13,14],[1,5,7,9,10,12,14],[1,6,7,8,9,10,12],[2,3,7,8,12,13,14],[2,4,6,7,9,10,13],[2,4,6,7,9,11,14],[2,4,8,10,11,12,13],[2,5,6,8,9,12,13],[2,5,6,10,11,12,14],[2,5,7,8,9,11,14],[3,4,5,6,10,12,14],[3,4,5,9,11,12,13],[3,4,6,8,9,12,14],[3,4,7,8,10,11,14],[3,5,6,7,8,10,13],[3,5,7,9,10,11,13]]; G[10]:=Group([(2,12,13)(3,7,14)(4,10,11)(5,9,6)]); # Design 11: autom. group order 3, simple, residual B[11]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,11],[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],[1,4,6,7,10,13,14],[1,4,8,9,11,12,13],[1,5,6,9,10,12,14],[1,5,7,8,11,13,14],[1,6,7,8,9,10,12],[2,3,7,9,12,13,14],[2,4,6,7,9,11,13],[2,4,6,8,11,12,14],[2,4,7,8,10,12,14],[2,5,6,7,8,12,13],[2,5,6,9,10,11,13],[2,5,8,9,10,11,14],[3,4,5,6,11,12,14],[3,4,5,8,10,12,13],[3,4,6,8,9,10,13],[3,4,7,9,10,11,14],[3,5,6,7,8,9,14],[3,5,7,10,11,12,13]]; G[11]:=Group([(2,12,13)(3,9,14)(4,10,11)(5,6,8)]); # Design 12: autom. group order 3, simple, residual B[12]:=[[1,2,3,4,5,6,7],[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],[1,4,6,7,10,13,14],[1,4,8,9,11,12,13],[1,5,6,9,10,12,14],[1,5,7,8,11,13,14],[1,6,7,8,9,10,12],[2,3,7,9,12,13,14],[2,4,6,7,8,9,14],[2,4,6,8,11,12,14],[2,4,7,10,11,12,13],[2,5,6,7,8,12,13],[2,5,6,9,10,11,13],[2,5,8,9,10,11,14],[3,4,5,6,11,12,14],[3,4,5,8,10,12,13],[3,4,6,8,9,10,13],[3,4,7,9,10,11,14],[3,5,6,7,9,11,13],[3,5,7,8,10,12,14]]; G[12]:=Group([(2,12,13)(3,9,14)(4,10,11)(5,6,8)]); # Design 13: autom. group order 3, simple, residual B[13]:=[[1,2,3,4,5,6,7],[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],[1,4,5,7,11,13,14],[1,4,6,7,8,9,12],[1,4,9,10,11,12,13],[1,5,6,8,9,12,14],[1,5,7,9,10,11,12],[1,6,7,8,10,13,14],[2,3,7,9,12,13,14],[2,4,6,7,9,10,14],[2,4,6,8,10,12,13],[2,4,7,8,11,12,14],[2,5,6,7,11,12,13],[2,5,6,8,9,11,13],[2,5,8,9,10,11,14],[3,4,5,6,11,12,14],[3,4,5,8,10,12,13],[3,4,6,9,10,11,14],[3,4,7,8,9,11,13],[3,5,6,7,9,10,13],[3,5,7,8,10,12,14]]; G[13]:=Group([(2,12,14)(3,9,13)(4,11,8)(5,10,6)]); # Design 14: autom. group order 3, simple, residual B[14]:=[[1,2,3,4,5,6,7],[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],[1,4,5,7,11,13,14],[1,4,6,7,8,9,12],[1,4,9,10,11,12,13],[1,5,6,8,9,12,14],[1,5,7,9,10,11,12],[1,6,7,8,10,13,14],[2,3,7,9,12,13,14],[2,4,6,7,9,11,13],[2,4,6,8,10,12,13],[2,4,7,8,11,12,14],[2,5,6,7,10,12,14],[2,5,6,8,9,11,13],[2,5,8,9,10,11,14],[3,4,5,6,11,12,14],[3,4,5,8,10,12,13],[3,4,6,9,10,11,14],[3,4,7,8,9,10,14],[3,5,6,7,9,10,13],[3,5,7,8,11,12,13]]; G[14]:=Group([(2,12,14)(3,9,13)(4,11,8)(5,10,6)]); # Design 15: autom. group order 3, simple, residual B[15]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,11,12],[1,2,3,9,12,13,14],[1,2,4,5,10,13,14],[1,3,6,9,12,13,14],[1,4,5,7,11,12,13],[1,4,6,7,8,12,13],[1,4,8,9,10,11,13],[1,5,6,10,11,12,14],[1,5,7,8,9,11,14],[1,6,7,8,9,10,14],[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],[2,5,6,7,8,9,12],[2,5,6,7,10,13,14],[2,5,8,9,10,12,13],[3,4,5,6,9,11,14],[3,4,5,8,10,12,14],[3,4,6,7,9,10,13],[3,4,7,8,10,12,14],[3,5,6,8,11,12,13],[3,5,7,9,10,11,13]]; G[15]:=Group([(1,9,13)(3,12,14)(4,8,10)]); # Design 16: autom. group order 3, simple, residual B[16]:=[[1,2,3,4,5,6,7],[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],[1,4,5,7,11,13,14],[1,4,6,7,8,9,12],[1,4,9,10,11,12,13],[1,5,6,8,9,12,14],[1,5,7,9,10,11,12],[1,6,7,8,10,13,14],[2,3,7,9,12,13,14],[2,4,6,8,9,10,13],[2,4,6,9,10,11,14],[2,4,7,8,11,12,14],[2,5,6,7,9,11,14],[2,5,6,8,11,12,13],[2,5,7,8,10,12,13],[3,4,5,6,11,12,13],[3,4,5,8,10,12,14],[3,4,6,7,10,12,14],[3,4,7,8,9,11,13],[3,5,6,7,9,10,13],[3,5,8,9,10,11,14]]; G[16]:=Group([(2,12,14)(3,9,13)(4,11,8)(5,10,6)]); # Design 17: autom. group order 3, simple, residual B[17]:=[[1,2,3,4,5,6,7],[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],[1,4,5,7,11,13,14],[1,4,6,7,8,9,12],[1,4,9,10,11,12,13],[1,5,6,8,9,12,14],[1,5,7,9,10,11,12],[1,6,7,8,10,13,14],[2,3,7,9,12,13,14],[2,4,6,8,9,10,13],[2,4,6,9,10,11,14],[2,4,7,8,11,12,14],[2,5,6,7,10,12,14],[2,5,6,8,11,12,13],[2,5,7,8,9,11,13],[3,4,5,6,11,12,13],[3,4,5,8,10,12,14],[3,4,6,7,9,11,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,13],[3,5,8,9,10,11,14]]; G[17]:=Group([(2,12,14)(3,9,13)(4,11,8)(5,10,6)]); # Design 18: autom. group order 3, simple, residual B[18]:=[[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],[1,2,4,7,9,13,14],[1,3,5,10,12,13,14],[1,4,5,8,9,10,12],[1,4,5,8,11,13,14],[1,4,6,9,11,12,14],[1,5,6,7,11,12,13],[1,6,7,8,9,10,11],[1,6,7,8,10,13,14],[2,3,6,8,11,13,14],[2,4,5,9,10,11,13],[2,4,7,8,10,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,12,14],[2,5,6,8,10,11,12],[2,5,6,9,10,13,14],[3,4,5,7,10,11,14],[3,4,6,7,10,12,13],[3,4,6,8,9,10,14],[3,4,6,9,11,12,13],[3,5,7,8,9,11,13],[3,5,7,8,9,12,14]]; G[18]:=Group([(1,4,5)(2,3,6)(9,10,12)(11,13,14)]); # Design 19: autom. group order 3, simple, residual B[19]:=[[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],[1,2,4,7,9,11,14],[1,3,5,10,11,12,14],[1,4,5,8,9,10,12],[1,4,5,8,11,13,14],[1,4,6,9,11,12,13],[1,5,6,7,12,13,14],[1,6,7,8,9,10,13],[1,6,7,8,10,11,14],[2,3,6,8,11,13,14],[2,4,5,9,10,13,14],[2,4,7,8,10,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,12,14],[2,5,6,8,10,11,12],[2,5,6,9,10,11,13],[3,4,5,7,10,11,13],[3,4,6,7,10,12,13],[3,4,6,8,9,10,14],[3,4,6,9,11,12,14],[3,5,7,8,9,11,12],[3,5,7,8,9,13,14]]; G[19]:=Group([(1,4,5)(2,3,6)(9,10,12)(11,13,14)]); # Design 20: autom. group order 3, simple, residual B[20]:=[[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],[1,2,4,7,9,13,14],[1,3,5,10,12,13,14],[1,4,5,8,9,10,12],[1,4,5,8,11,13,14],[1,4,6,9,10,11,13],[1,5,6,7,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,12,13,14],[2,3,6,8,11,13,14],[2,4,5,9,11,12,14],[2,4,7,8,10,11,13],[2,4,7,8,10,12,14],[2,5,6,7,10,12,13],[2,5,6,8,9,10,14],[2,5,6,9,11,12,13],[3,4,5,7,11,12,13],[3,4,6,7,9,12,14],[3,4,6,8,10,11,12],[3,4,6,9,10,13,14],[3,5,7,8,9,10,13],[3,5,7,8,9,11,14]]; G[20]:=Group([(1,4,5)(2,3,6)(9,12,10)(11,14,13)]); # Design 21: autom. group order 3, simple, residual B[21]:=[[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],[1,2,4,7,9,11,14],[1,3,5,10,11,12,14],[1,4,5,8,9,10,12],[1,4,5,8,11,13,14],[1,4,6,9,10,13,14],[1,5,6,7,10,11,13],[1,6,7,8,9,12,13],[1,6,7,8,11,12,14],[2,3,6,8,11,13,14],[2,4,5,9,11,12,13],[2,4,7,8,10,11,12],[2,4,7,8,10,13,14],[2,5,6,7,10,12,13],[2,5,6,8,9,10,14],[2,5,6,9,11,12,14],[3,4,5,7,12,13,14],[3,4,6,7,9,12,14],[3,4,6,8,10,11,12],[3,4,6,9,10,11,13],[3,5,7,8,9,10,14],[3,5,7,8,9,11,13]]; G[21]:=Group([(1,4,5)(2,3,6)(9,12,10)(11,14,13)]); # Design 22: autom. group order 3, simple, residual B[22]:=[[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],[1,3,5,9,12,13,14],[1,4,5,8,9,10,12],[1,4,5,8,11,13,14],[1,4,6,9,10,11,14],[1,5,6,7,9,11,13],[1,6,7,8,10,12,13],[1,6,7,8,11,12,14],[2,3,6,8,11,13,14],[2,4,5,10,11,12,13],[2,4,7,8,9,11,13],[2,4,7,8,9,12,14],[2,5,6,7,9,12,14],[2,5,6,8,10,11,12],[2,5,6,9,10,13,14],[3,4,5,7,11,12,14],[3,4,6,7,10,12,13],[3,4,6,8,9,10,14],[3,4,6,9,11,12,13],[3,5,7,8,9,10,11],[3,5,7,8,10,13,14]]; G[22]:=Group([(1,4,5)(2,3,6)(9,10,12)(11,13,14)]); # Design 23: autom. group order 3, simple, residual B[23]:=[[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],[1,2,4,7,10,11,14],[1,3,5,9,11,12,14],[1,4,5,8,9,10,12],[1,4,5,8,11,13,14],[1,4,6,9,10,11,13],[1,5,6,7,9,13,14],[1,6,7,8,10,12,14],[1,6,7,8,11,12,13],[2,3,6,8,11,13,14],[2,4,5,10,12,13,14],[2,4,7,8,9,11,12],[2,4,7,8,9,13,14],[2,5,6,7,9,12,14],[2,5,6,8,10,11,12],[2,5,6,9,10,11,13],[3,4,5,7,11,12,13],[3,4,6,7,10,12,13],[3,4,6,8,9,10,14],[3,4,6,9,11,12,14],[3,5,7,8,9,10,13],[3,5,7,8,10,11,14]]; G[23]:=Group([(1,4,5)(2,3,6)(9,10,12)(11,13,14)]); # Design 24: autom. group order 3, simple, residual B[24]:=[[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],[1,3,5,9,10,13,14],[1,4,5,8,9,10,12],[1,4,5,8,11,13,14],[1,4,6,9,11,12,13],[1,5,6,7,9,11,14],[1,6,7,8,10,11,13],[1,6,7,8,10,12,14],[2,3,6,8,11,13,14],[2,4,5,10,11,12,14],[2,4,7,8,9,10,13],[2,4,7,8,9,11,14],[2,5,6,7,10,12,13],[2,5,6,8,9,10,14],[2,5,6,9,11,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,10,11,12],[3,4,6,9,10,13,14],[3,5,7,8,9,11,12],[3,5,7,8,12,13,14]]; G[24]:=Group([(1,4,5)(2,3,6)(9,12,10)(11,14,13)]); # Design 25: autom. group order 3, simple, residual B[25]:=[[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],[1,3,5,9,10,11,14],[1,4,5,8,9,10,12],[1,4,5,8,11,13,14],[1,4,6,9,12,13,14],[1,5,6,7,9,11,13],[1,6,7,8,10,11,12],[1,6,7,8,10,13,14],[2,3,6,8,11,13,14],[2,4,5,10,11,12,13],[2,4,7,8,9,10,14],[2,4,7,8,9,11,13],[2,5,6,7,10,12,13],[2,5,6,8,9,10,14],[2,5,6,9,11,12,14],[3,4,5,7,10,13,14],[3,4,6,7,9,12,14],[3,4,6,8,10,11,12],[3,4,6,9,10,11,13],[3,5,7,8,9,12,13],[3,5,7,8,11,12,14]]; G[25]:=Group([(1,4,5)(2,3,6)(9,12,10)(11,14,13)]); # Design 26: autom. group order 3, simple, residual B[26]:=[[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],[1,3,5,9,10,13,14],[1,4,5,8,9,10,12],[1,4,5,8,11,13,14],[1,4,6,10,11,12,14],[1,5,6,7,10,11,13],[1,6,7,8,9,11,13],[1,6,7,8,9,12,14],[2,3,6,8,11,13,14],[2,4,5,9,11,12,13],[2,4,7,8,9,10,11],[2,4,7,8,10,13,14],[2,5,6,7,9,12,14],[2,5,6,8,10,11,12],[2,5,6,9,10,13,14],[3,4,5,7,9,11,14],[3,4,6,7,10,12,13],[3,4,6,8,9,10,14],[3,4,6,9,11,12,13],[3,5,7,8,10,12,13],[3,5,7,8,11,12,14]]; G[26]:=Group([(1,4,5)(2,3,6)(9,10,12)(11,13,14)]); # Design 27: autom. group order 3, simple, residual B[27]:=[[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],[1,3,5,9,10,11,14],[1,4,5,8,9,10,12],[1,4,5,8,11,13,14],[1,4,6,10,11,12,13],[1,5,6,7,10,13,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,6,8,11,13,14],[2,4,5,9,12,13,14],[2,4,7,8,9,10,13],[2,4,7,8,10,11,14],[2,5,6,7,9,12,14],[2,5,6,8,10,11,12],[2,5,6,9,10,11,13],[3,4,5,7,9,11,13],[3,4,6,7,10,12,13],[3,4,6,8,9,10,14],[3,4,6,9,11,12,14],[3,5,7,8,10,12,14],[3,5,7,8,11,12,13]]; G[27]:=Group([(1,4,5)(2,3,6)(9,10,12)(11,13,14)]); # Design 28: autom. group order 3, simple, residual B[28]:=[[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],[1,3,5,9,12,13,14],[1,4,5,8,9,10,12],[1,4,5,8,11,13,14],[1,4,6,10,11,12,13],[1,5,6,7,11,12,14],[1,6,7,8,9,10,13],[1,6,7,8,9,11,14],[2,3,6,8,11,13,14],[2,4,5,9,10,11,14],[2,4,7,8,9,11,12],[2,4,7,8,12,13,14],[2,5,6,7,10,12,13],[2,5,6,8,9,10,14],[2,5,6,9,11,12,13],[3,4,5,7,9,11,13],[3,4,6,7,9,12,14],[3,4,6,8,10,11,12],[3,4,6,9,10,13,14],[3,5,7,8,10,11,13],[3,5,7,8,10,12,14]]; G[28]:=Group([(1,4,5)(2,3,6)(9,12,10)(11,14,13)]); # Design 29: autom. group order 3, simple, residual B[29]:=[[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],[1,2,4,7,10,11,14],[1,3,5,9,11,12,14],[1,4,5,8,9,10,12],[1,4,5,8,11,13,14],[1,4,6,10,12,13,14],[1,5,6,7,11,12,13],[1,6,7,8,9,10,14],[1,6,7,8,9,11,13],[2,3,6,8,11,13,14],[2,4,5,9,10,11,13],[2,4,7,8,9,12,13],[2,4,7,8,11,12,14],[2,5,6,7,10,12,13],[2,5,6,8,9,10,14],[2,5,6,9,11,12,14],[3,4,5,7,9,13,14],[3,4,6,7,9,12,14],[3,4,6,8,10,11,12],[3,4,6,9,10,11,13],[3,5,7,8,10,11,12],[3,5,7,8,10,13,14]]; G[29]:=Group([(1,4,5)(2,3,6)(9,12,10)(11,14,13)]); # Design 30: autom. group order 3, simple, residual B[30]:=[[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],[1,6,7,8,9,10,12],[1,6,7,8,11,13,14],[2,3,6,9,11,13,14],[2,4,5,8,10,11,14],[2,4,7,8,9,13,14],[2,4,7,8,10,11,12],[2,5,6,7,9,10,13],[2,5,6,8,11,12,13],[2,5,6,9,10,12,14],[3,4,5,7,9,12,14],[3,4,6,7,10,11,13],[3,4,6,8,9,11,12],[3,4,6,10,12,13,14],[3,5,7,8,9,11,14],[3,5,7,8,10,12,13]]; G[30]:=Group([(1,4,5)(2,3,6)(9,11,13)]); # Design 31: autom. group order 3, simple, residual B[31]:=[[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],[2,4,7,8,9,10,12],[2,4,7,8,11,13,14],[2,5,6,7,9,10,13],[2,5,6,8,11,12,13],[2,5,6,9,10,12,14],[3,4,5,7,9,12,14],[3,4,6,7,10,11,13],[3,4,6,8,9,11,12],[3,4,6,10,12,13,14],[3,5,7,8,9,13,14],[3,5,7,8,10,11,12]]; G[31]:=Group([(1,4,5)(2,3,6)(9,11,13)]); # Design 32: autom. group order 3, simple, residual B[32]:=[[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],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,6,9,11,13,14],[2,4,5,8,10,11,14],[2,4,7,8,9,11,14],[2,4,7,8,10,12,13],[2,5,6,7,9,10,13],[2,5,6,8,11,12,13],[2,5,6,9,10,12,14],[3,4,5,7,9,12,14],[3,4,6,7,10,11,13],[3,4,6,8,9,11,12],[3,4,6,10,12,13,14],[3,5,7,8,9,10,12],[3,5,7,8,11,13,14]]; G[32]:=Group([(1,4,5)(2,3,6)(9,11,13)]); # Design 33: autom. group order 3, simple, residual B[33]:=[[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],[1,4,5,9,10,11,13],[1,4,5,9,11,12,13],[1,4,6,8,9,10,14],[1,5,6,7,12,13,14],[1,6,7,8,9,10,12],[1,6,7,8,11,13,14],[2,3,6,9,11,13,14],[2,4,5,8,10,13,14],[2,4,7,8,9,11,14],[2,4,7,8,10,12,13],[2,5,6,7,10,11,13],[2,5,6,8,9,11,12],[2,5,6,9,10,12,14],[3,4,5,7,9,12,14],[3,4,6,7,9,10,13],[3,4,6,8,11,12,13],[3,4,6,10,11,12,14],[3,5,7,8,9,13,14],[3,5,7,8,10,11,12]]; G[33]:=Group([(1,4,5)(2,3,6)(9,13,11)]); # Design 34: autom. group order 3, simple, residual B[34]:=[[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],[1,4,5,9,10,11,13],[1,4,5,9,11,12,13],[1,4,6,8,9,10,14],[1,5,6,7,12,13,14],[1,6,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,6,9,11,13,14],[2,4,5,8,10,13,14],[2,4,7,8,9,10,12],[2,4,7,8,11,13,14],[2,5,6,7,10,11,13],[2,5,6,8,9,11,12],[2,5,6,9,10,12,14],[3,4,5,7,9,12,14],[3,4,6,7,9,10,13],[3,4,6,8,11,12,13],[3,4,6,10,11,12,14],[3,5,7,8,9,11,14],[3,5,7,8,10,12,13]]; G[34]:=Group([(1,4,5)(2,3,6)(9,13,11)]); # Design 35: autom. group order 3, simple, residual B[35]:=[[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],[1,4,5,9,10,11,13],[1,4,5,9,11,12,13],[1,4,6,8,9,10,14],[1,5,6,7,12,13,14],[1,6,7,8,9,11,14],[1,6,7,8,10,12,13],[2,3,6,9,11,13,14],[2,4,5,8,10,13,14],[2,4,7,8,9,13,14],[2,4,7,8,10,11,12],[2,5,6,7,10,11,13],[2,5,6,8,9,11,12],[2,5,6,9,10,12,14],[3,4,5,7,9,12,14],[3,4,6,7,9,10,13],[3,4,6,8,11,12,13],[3,4,6,10,11,12,14],[3,5,7,8,9,10,12],[3,5,7,8,11,13,14]]; G[35]:=Group([(1,4,5)(2,3,6)(9,13,11)]); # Design 36: autom. group order 3, simple B[36]:=[[1,2,3,4,5,6,7],[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],[1,2,4,6,11,12,14],[1,3,5,8,10,11,14],[1,4,5,6,9,10,13],[1,4,5,7,11,12,13],[1,4,7,8,9,10,14],[1,5,7,10,12,13,14],[1,6,7,8,9,11,14],[1,6,8,9,11,12,13],[2,3,7,9,11,13,14],[2,4,5,9,11,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,11,13],[2,5,6,7,8,13,14],[2,5,6,8,10,11,12],[2,5,7,8,9,10,12],[3,4,5,8,11,12,14],[3,4,6,7,8,12,13],[3,4,6,8,10,13,14],[3,4,7,9,10,11,12],[3,5,6,7,9,12,14],[3,5,6,9,10,11,13]]; G[36]:=Group([(2,8,13)(3,9,12)(4,11,10)(5,6,14)]); # Design 37: autom. group order 3, simple, residual B[37]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,9,11,14],[1,4,5,6,10,11,13],[1,4,5,7,10,12,14],[1,4,7,8,9,11,13],[1,5,7,11,12,13,14],[1,6,7,8,9,10,13],[1,6,8,9,10,12,14],[2,3,7,9,10,13,14],[2,4,5,9,10,13,14],[2,4,6,9,11,12,13],[2,4,7,8,10,11,14],[2,5,6,7,8,13,14],[2,5,6,8,10,11,12],[2,5,7,8,9,11,12],[3,4,5,8,10,12,13],[3,4,6,7,8,12,14],[3,4,6,8,11,13,14],[3,4,7,9,10,11,12],[3,5,6,7,9,12,13],[3,5,6,9,10,11,14]]; G[37]:=Group([(2,8,14)(3,9,12)(4,10,11)(5,6,13)]); # Design 38: autom. group order 3, simple B[38]:=[[1,2,3,4,5,6,7],[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],[1,2,4,6,11,12,14],[1,3,5,8,10,11,14],[1,4,5,6,9,10,13],[1,4,5,7,11,12,13],[1,4,7,8,9,10,14],[1,5,7,10,12,13,14],[1,6,7,8,9,11,14],[1,6,8,9,11,12,13],[2,3,7,9,11,13,14],[2,4,5,9,11,12,14],[2,4,6,8,10,12,14],[2,4,7,8,10,11,13],[2,5,6,7,8,13,14],[2,5,6,9,10,11,13],[2,5,7,8,9,10,12],[3,4,5,8,11,13,14],[3,4,6,7,8,12,13],[3,4,6,9,10,13,14],[3,4,7,9,10,11,12],[3,5,6,7,9,12,14],[3,5,6,8,10,11,12]]; G[38]:=Group([(2,8,13)(3,9,12)(4,11,10)(5,6,14)]); # Design 39: autom. group order 3, simple, residual B[39]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,9,11,14],[1,4,5,6,10,11,13],[1,4,5,7,10,12,14],[1,4,7,8,9,11,13],[1,5,7,11,12,13,14],[1,6,7,8,9,10,13],[1,6,8,9,10,12,14],[2,3,7,9,10,13,14],[2,4,5,9,10,12,13],[2,4,6,8,11,12,13],[2,4,7,8,10,11,14],[2,5,6,7,8,13,14],[2,5,6,9,10,11,14],[2,5,7,8,9,11,12],[3,4,5,8,10,13,14],[3,4,6,7,8,12,14],[3,4,6,9,11,13,14],[3,4,7,9,10,11,12],[3,5,6,7,9,12,13],[3,5,6,8,10,11,12]]; G[39]:=Group([(2,8,14)(3,9,12)(4,10,11)(5,6,13)]); # Design 40: autom. group order 3, simple B[40]:=[[1,2,3,4,5,6,7],[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],[1,2,4,6,11,12,14],[1,3,5,8,10,11,14],[1,4,5,6,9,10,13],[1,4,5,7,11,12,13],[1,4,7,8,9,10,14],[1,5,7,10,12,13,14],[1,6,7,8,9,11,14],[1,6,8,9,11,12,13],[2,3,7,9,11,13,14],[2,4,5,8,11,12,14],[2,4,6,9,10,13,14],[2,4,7,8,10,11,13],[2,5,6,7,8,13,14],[2,5,6,9,10,11,12],[2,5,7,8,9,10,12],[3,4,5,9,11,13,14],[3,4,6,7,8,12,13],[3,4,6,8,10,12,14],[3,4,7,9,10,11,12],[3,5,6,7,9,12,14],[3,5,6,8,10,11,13]]; G[40]:=Group([(2,8,13)(3,9,12)(4,11,10)(5,6,14)]); # Design 41: autom. group order 3, simple, residual B[41]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,9,11,14],[1,4,5,6,10,11,13],[1,4,5,7,10,12,14],[1,4,7,8,9,11,13],[1,5,7,11,12,13,14],[1,6,7,8,9,10,13],[1,6,8,9,10,12,14],[2,3,7,9,10,13,14],[2,4,5,8,10,12,13],[2,4,6,9,11,13,14],[2,4,7,8,10,11,14],[2,5,6,7,8,13,14],[2,5,6,9,10,11,12],[2,5,7,8,9,11,12],[3,4,5,9,10,13,14],[3,4,6,7,8,12,14],[3,4,6,8,11,12,13],[3,4,7,9,10,11,12],[3,5,6,7,9,12,13],[3,5,6,8,10,11,14]]; G[41]:=Group([(2,8,14)(3,9,12)(4,10,11)(5,6,13)]); # Design 42: autom. group order 3, simple B[42]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,8,12,13,14],[1,4,5,6,10,12,13],[1,4,5,7,10,11,14],[1,4,7,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,9,10,12,13],[1,6,8,9,10,11,14],[2,3,7,9,10,13,14],[2,4,5,9,10,11,13],[2,4,6,8,9,11,12],[2,4,7,8,10,12,14],[2,5,6,7,9,12,14],[2,5,6,8,10,13,14],[2,5,7,8,11,12,13],[3,4,5,9,10,12,14],[3,4,6,7,11,12,14],[3,4,6,8,9,13,14],[3,4,7,8,10,11,13],[3,5,6,7,9,11,13],[3,5,6,8,10,11,12]]; G[42]:=Group([(2,12,14)(3,13,11)(4,10,8)(5,6,9)]); # Design 43: autom. group order 3, simple B[43]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,8,12,13,14],[1,4,5,6,10,12,13],[1,4,5,7,10,11,14],[1,4,7,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,9,10,12,13],[1,6,8,9,10,11,14],[2,3,7,9,10,13,14],[2,4,5,9,10,11,12],[2,4,6,8,9,13,14],[2,4,7,8,10,12,14],[2,5,6,7,9,12,14],[2,5,6,8,10,11,13],[2,5,7,8,11,12,13],[3,4,5,9,10,13,14],[3,4,6,7,11,12,14],[3,4,6,8,9,11,12],[3,4,7,8,10,11,13],[3,5,6,7,9,11,13],[3,5,6,8,10,12,14]]; G[43]:=Group([(2,12,14)(3,13,11)(4,10,8)(5,6,9)]); # Design 44: autom. group order 3, simple B[44]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,8,10],[1,2,3,9,10,11,12],[1,2,3,11,12,13,14],[1,2,4,6,11,13,14],[1,3,5,8,12,13,14],[1,4,5,6,10,12,13],[1,4,5,7,10,11,14],[1,4,7,8,9,12,13],[1,5,7,8,9,11,14],[1,6,7,9,10,12,13],[1,6,8,9,10,11,14],[2,3,7,9,10,13,14],[2,4,5,9,10,13,14],[2,4,6,8,9,11,13],[2,4,7,8,10,12,14],[2,5,6,7,9,12,14],[2,5,6,8,10,11,12],[2,5,7,8,11,12,13],[3,4,5,9,10,11,12],[3,4,6,7,11,12,14],[3,4,6,8,9,12,14],[3,4,7,8,10,11,13],[3,5,6,7,9,11,13],[3,5,6,8,10,13,14]]; G[44]:=Group([(2,12,14)(3,13,11)(4,10,8)(5,6,9)]); # Design 45: autom. group order 3, simple, residual B[45]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,10,13,14],[1,4,5,6,10,11,14],[1,4,5,8,11,12,13],[1,4,7,8,9,13,14],[1,5,7,8,9,10,11],[1,6,7,8,11,12,14],[1,6,7,9,10,12,13],[2,3,7,8,9,11,14],[2,4,5,7,11,12,13],[2,4,6,8,9,10,12],[2,4,7,9,10,11,13],[2,5,6,7,8,13,14],[2,5,6,8,10,13,14],[2,5,9,10,11,12,14],[3,4,5,7,10,12,14],[3,4,6,8,10,11,13],[3,4,6,9,11,13,14],[3,4,7,8,10,12,14],[3,5,6,7,9,12,13],[3,5,6,8,9,11,12]]; G[45]:=Group([(1,9,11)(2,6,13)(3,12,4)]); # Design 46: autom. group order 3, simple, residual B[46]:=[[1,2,3,4,5,6,7],[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],[1,2,4,6,11,12,14],[1,3,5,10,11,13,14],[1,4,5,6,8,10,14],[1,4,5,9,11,12,13],[1,4,7,8,9,12,14],[1,5,7,8,9,10,11],[1,6,7,8,10,12,13],[1,6,7,9,11,13,14],[2,3,7,8,9,11,14],[2,4,5,7,10,13,14],[2,4,6,9,10,11,12],[2,4,7,9,10,13,14],[2,5,6,7,8,12,13],[2,5,6,8,9,11,13],[2,5,8,10,11,12,14],[3,4,5,7,11,12,13],[3,4,6,8,9,10,13],[3,4,6,8,11,13,14],[3,4,7,8,10,11,12],[3,5,6,7,9,12,14],[3,5,6,9,10,12,14]]; G[46]:=Group([(1,8,11)(2,13,4)(3,6,12)]); # Design 47: autom. group order 3, 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],[1,2,4,6,9,13,14],[1,3,5,7,10,13,14],[1,4,5,6,11,12,13],[1,4,5,10,11,12,14],[1,4,7,8,10,13,14],[1,5,7,8,9,11,12],[1,6,7,8,9,12,14],[1,6,8,9,10,11,13],[2,3,8,11,12,13,14],[2,4,5,8,10,12,14],[2,4,6,7,8,11,14],[2,4,7,9,10,11,13],[2,5,6,7,8,12,13],[2,5,6,9,10,11,14],[2,5,7,9,10,12,13],[3,4,5,8,9,11,13],[3,4,6,7,9,10,12],[3,4,6,8,10,12,13],[3,4,7,9,11,12,14],[3,5,6,7,11,13,14],[3,5,6,8,9,10,14]]; G[47]:=Group([(1,9,10)(2,7,14)(3,12,5)(6,11,8)]); # Design 48: autom. group order 3, simple, residual B[48]:=[[1,2,3,4,5,6,7],[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],[1,2,4,6,10,13,14],[1,3,5,9,11,13,14],[1,4,5,7,10,12,13],[1,4,5,8,11,12,14],[1,4,6,7,8,9,12],[1,5,6,8,10,13,14],[1,6,7,9,11,12,13],[1,7,8,9,10,11,14],[2,3,7,8,12,13,14],[2,4,5,7,9,11,14],[2,4,6,7,11,13,14],[2,4,8,9,10,11,13],[2,5,6,8,9,12,13],[2,5,6,9,10,11,12],[2,5,7,8,10,12,14],[3,4,5,10,11,12,13],[3,4,6,8,11,12,14],[3,4,6,9,10,12,14],[3,4,7,8,9,10,13],[3,5,6,7,8,11,13],[3,5,6,7,9,10,14]]; G[48]:=Group([(1,9,10)(2,12,4)(3,6,13)(7,8,11)]); # Design 49: autom. group order 3, simple B[49]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,10,13,14],[1,4,5,7,9,10,13],[1,4,5,9,11,12,14],[1,4,6,7,10,11,14],[1,5,6,8,11,13,14],[1,6,7,8,9,10,12],[1,7,8,9,11,12,13],[2,3,7,9,11,13,14],[2,4,5,10,11,12,13],[2,4,6,8,9,11,13],[2,4,7,8,10,11,14],[2,5,6,7,9,10,13],[2,5,6,8,9,12,14],[2,5,7,8,10,12,14],[3,4,5,7,8,11,12],[3,4,6,7,8,12,13],[3,4,6,9,10,12,14],[3,4,8,9,10,13,14],[3,5,6,7,9,11,14],[3,5,6,10,11,12,13]]; G[49]:=Group([(1,5,12)(2,13,8)(3,10,7)(4,11,9)]); # Design 50: autom. group order 3, 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],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,6,9,12,13],[1,3,5,9,11,12,14],[1,4,5,7,10,11,14],[1,4,5,8,9,10,13],[1,4,6,8,10,12,14],[1,5,6,7,8,12,14],[1,6,7,9,11,12,13],[1,7,8,9,10,11,13],[2,3,7,8,9,10,12],[2,4,5,7,11,12,13],[2,4,6,7,8,10,11],[2,4,8,9,11,12,14],[2,5,6,9,10,11,14],[2,5,6,9,10,13,14],[2,5,7,8,12,13,14],[3,4,5,10,11,12,13],[3,4,6,7,9,13,14],[3,4,6,8,11,13,14],[3,4,7,9,10,12,14],[3,5,6,7,8,9,11],[3,5,6,8,10,12,13]]; G[50]:=Group([(1,3,12)(2,10,6)(4,7,8)(5,9,14)]); # Design 51: autom. group order 3, 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],[1,2,3,7,10,13,14],[1,2,3,8,11,13,14],[1,2,4,6,9,12,13],[1,3,5,9,11,12,14],[1,4,5,7,10,13,14],[1,4,5,8,9,10,11],[1,4,6,8,10,12,14],[1,5,6,7,8,12,14],[1,6,7,9,11,12,13],[1,7,8,9,10,11,13],[2,3,7,8,9,10,12],[2,4,5,7,11,12,13],[2,4,6,7,8,10,11],[2,4,8,9,12,13,14],[2,5,6,9,10,11,14],[2,5,6,9,10,13,14],[2,5,7,8,11,12,14],[3,4,5,10,11,12,13],[3,4,6,7,9,11,14],[3,4,6,8,11,13,14],[3,4,7,9,10,12,14],[3,5,6,7,8,9,13],[3,5,6,8,10,12,13]]; G[51]:=Group([(1,3,12)(2,10,6)(4,7,8)(5,9,14)]); # Design 52: autom. group order 3, simple, residual B[52]:=[[1,2,3,4,5,6,7],[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],[1,2,4,6,10,13,14],[1,3,5,9,11,13,14],[1,4,5,7,8,12,13],[1,4,5,10,11,12,14],[1,4,6,8,9,11,12],[1,5,6,7,10,13,14],[1,6,7,8,9,12,14],[1,7,8,9,10,11,13],[2,3,7,8,12,13,14],[2,4,5,7,9,11,13],[2,4,6,8,11,13,14],[2,4,7,8,9,10,14],[2,5,6,7,9,10,12],[2,5,6,9,11,12,14],[2,5,8,10,11,12,13],[3,4,5,8,10,12,14],[3,4,6,7,11,12,13],[3,4,6,9,10,12,13],[3,4,7,9,10,11,14],[3,5,6,7,8,11,14],[3,5,6,8,9,10,13]]; G[52]:=Group([(1,9,10)(2,12,4)(3,6,14)(7,11,8)]); # Design 53: autom. group order 3, simple, residual B[53]:=[[1,2,3,4,5,6,7],[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],[1,2,4,6,10,13,14],[1,3,5,9,11,13,14],[1,4,5,7,8,12,13],[1,4,5,10,11,12,14],[1,4,6,8,11,13,14],[1,5,6,7,9,10,12],[1,6,7,8,9,12,14],[1,7,8,9,10,11,13],[2,3,7,8,12,13,14],[2,4,5,7,9,11,13],[2,4,6,8,9,11,12],[2,4,7,8,9,10,14],[2,5,6,7,10,13,14],[2,5,6,9,11,12,14],[2,5,8,10,11,12,13],[3,4,5,8,10,12,14],[3,4,6,7,11,12,13],[3,4,6,9,10,12,13],[3,4,7,9,10,11,14],[3,5,6,7,8,11,14],[3,5,6,8,9,10,13]]; G[53]:=Group([(1,10,12)(2,4,9)(3,14,6)(5,7,11)]); # Design 54: autom. group order 3, 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],[1,2,3,7,10,13,14],[1,2,3,8,11,12,13],[1,2,4,6,9,13,14],[1,3,5,9,10,11,14],[1,4,5,7,8,10,13],[1,4,5,7,9,11,12],[1,4,6,8,10,12,14],[1,5,8,11,12,13,14],[1,6,7,8,9,11,14],[1,6,7,9,10,12,13],[2,3,7,8,9,12,14],[2,4,5,6,11,12,14],[2,4,7,8,10,11,14],[2,4,8,9,10,11,13],[2,5,6,7,8,12,13],[2,5,6,9,10,11,13],[2,5,7,9,10,12,14],[3,4,5,10,12,13,14],[3,4,6,7,11,13,14],[3,4,6,8,9,10,12],[3,4,7,9,11,12,13],[3,5,6,7,8,10,11],[3,5,6,8,9,13,14]]; G[54]:=Group([(1,7,10)(2,12,4)(3,9,8)(5,14,6)]); # Design 55: autom. group order 3, simple, residual B[55]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,10,11,14],[1,4,5,7,8,10,14],[1,4,5,11,12,13,14],[1,4,8,9,10,11,13],[1,5,6,7,10,12,13],[1,6,7,8,9,11,14],[1,6,7,8,9,12,13],[2,3,7,8,9,13,14],[2,4,5,6,8,11,13],[2,4,6,9,10,12,14],[2,4,7,9,10,11,13],[2,5,6,8,10,13,14],[2,5,7,8,11,12,14],[2,5,7,9,10,11,12],[3,4,5,7,9,12,13],[3,4,6,7,11,13,14],[3,4,6,8,10,11,12],[3,4,7,8,10,12,14],[3,5,6,8,9,11,12],[3,5,6,9,10,13,14]]; G[55]:=Group([(2,6,12)(3,7,13)(4,9,14)(5,8,11)]); # Design 56: autom. group order 3, simple, residual B[56]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,10,11,14],[1,4,5,7,8,10,14],[1,4,5,11,12,13,14],[1,4,8,9,10,11,13],[1,5,6,7,10,12,13],[1,6,7,8,9,11,14],[1,6,7,8,9,12,13],[2,3,7,8,9,13,14],[2,4,5,6,8,11,13],[2,4,6,9,10,12,14],[2,4,7,8,10,11,12],[2,5,6,9,10,11,13],[2,5,7,8,11,12,14],[2,5,7,9,10,13,14],[3,4,5,7,9,12,13],[3,4,6,7,11,13,14],[3,4,6,8,10,13,14],[3,4,7,9,10,11,12],[3,5,6,8,9,11,12],[3,5,6,8,10,12,14]]; G[56]:=Group([(2,6,12)(3,7,13)(4,9,14)(5,8,11)]); # Design 57: autom. group order 3, simple, residual B[57]:=[[1,2,3,4,5,6,7],[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],[1,4,5,7,11,12,13],[1,4,5,8,10,13,14],[1,4,7,8,9,11,12],[1,5,6,7,8,10,12],[1,6,7,9,10,12,14],[1,6,8,9,11,13,14],[2,3,7,8,12,13,14],[2,4,5,6,11,12,14],[2,4,6,7,9,11,14],[2,4,7,8,9,10,13],[2,5,6,8,9,12,13],[2,5,7,9,10,11,13],[2,5,8,10,11,12,14],[3,4,5,9,10,12,14],[3,4,6,8,11,12,13],[3,4,6,9,10,12,13],[3,4,7,8,10,11,14],[3,5,6,7,8,9,14],[3,5,6,7,10,11,13]]; G[57]:=Group([(2,12,13)(3,7,14)(4,10,11)(5,6,9)]); # Design 58: autom. group order 3, simple, residual B[58]:=[[1,2,3,4,5,6,7],[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],[1,4,5,7,11,12,13],[1,4,5,8,10,13,14],[1,4,7,8,9,11,12],[1,5,6,7,8,10,12],[1,6,7,9,10,12,14],[1,6,8,9,11,13,14],[2,3,7,8,12,13,14],[2,4,5,6,11,12,14],[2,4,6,7,9,11,14],[2,4,8,10,11,12,13],[2,5,6,8,9,12,13],[2,5,7,8,9,10,14],[2,5,7,9,10,11,13],[3,4,5,9,10,12,14],[3,4,6,7,8,9,13],[3,4,6,9,10,12,13],[3,4,7,8,10,11,14],[3,5,6,7,10,11,13],[3,5,6,8,11,12,14]]; G[58]:=Group([(2,12,13)(3,7,14)(4,10,11)(5,6,9)]); # Design 59: autom. group order 3, simple 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],[1,2,4,6,11,12,13],[1,3,5,10,11,12,14],[1,4,5,7,8,10,11],[1,4,5,8,12,13,14],[1,4,7,9,10,12,13],[1,5,6,7,9,12,14],[1,6,7,8,9,10,11],[1,6,8,9,11,13,14],[2,3,7,8,9,11,12],[2,4,5,6,9,11,14],[2,4,6,8,10,12,14],[2,4,7,10,11,13,14],[2,5,6,7,8,10,13],[2,5,7,9,10,12,14],[2,5,8,9,11,12,13],[3,4,5,9,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,9,10,14],[3,4,7,8,11,12,14],[3,5,6,7,11,13,14],[3,5,6,8,10,12,13]]; G[59]:=Group([(1,8,12)(2,6,9)(3,10,7)(4,14,5)]); # Design 60: autom. group order 3, simple 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],[1,2,4,6,11,12,13],[1,3,5,10,11,12,14],[1,4,5,7,8,10,11],[1,4,5,8,12,13,14],[1,4,7,9,10,12,13],[1,5,6,7,9,12,14],[1,6,7,8,9,10,11],[1,6,8,9,11,13,14],[2,3,7,8,9,11,12],[2,4,5,6,9,11,14],[2,4,6,8,10,12,14],[2,4,7,10,11,13,14],[2,5,6,8,9,10,13],[2,5,7,8,11,12,13],[2,5,7,9,10,12,14],[3,4,5,9,10,11,13],[3,4,6,7,8,10,14],[3,4,6,7,9,12,13],[3,4,8,9,11,12,14],[3,5,6,7,11,13,14],[3,5,6,8,10,12,13]]; G[60]:=Group([(1,8,12)(2,10,9)(3,6,7)(5,14,13)]); # Design 61: autom. group order 3, simple, residual B[61]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,9,10,14],[1,4,5,9,10,11,13],[1,4,5,11,12,13,14],[1,4,7,8,10,11,14],[1,5,6,7,10,12,13],[1,6,7,8,9,11,14],[1,6,7,8,9,12,13],[2,3,7,9,11,13,14],[2,4,5,7,8,11,12],[2,4,6,8,10,11,13],[2,4,6,9,10,12,14],[2,5,6,8,9,11,13],[2,5,7,8,10,12,14],[2,5,7,9,10,13,14],[3,4,5,6,7,13,14],[3,4,6,8,10,13,14],[3,4,7,8,9,12,13],[3,4,7,9,10,11,12],[3,5,6,8,11,12,14],[3,5,6,9,10,11,12]]; G[61]:=Group([(2,6,12)(3,7,13)(4,9,14)(5,8,11)]); # Design 62: autom. group order 3, 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],[1,2,3,7,12,13,14],[1,2,3,9,10,11,12],[1,2,4,6,10,13,14],[1,3,5,9,11,13,14],[1,4,5,7,11,12,13],[1,4,5,8,10,13,14],[1,4,7,8,9,11,12],[1,5,6,7,8,10,12],[1,6,7,9,10,12,14],[1,6,8,9,11,13,14],[2,3,7,8,12,13,14],[2,4,5,9,10,12,14],[2,4,6,7,9,11,13],[2,4,6,8,11,12,14],[2,5,6,8,9,12,13],[2,5,7,8,10,11,13],[2,5,7,9,10,11,14],[3,4,5,6,11,12,14],[3,4,6,7,9,10,13],[3,4,7,8,10,11,14],[3,4,8,9,10,12,13],[3,5,6,7,8,9,14],[3,5,6,10,11,12,13]]; G[62]:=Group([(2,12,13)(3,7,14)(4,10,11)(5,6,9)]); # Design 63: autom. group order 3, simple, residual B[63]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,9,10,14],[1,4,5,9,10,11,13],[1,4,5,11,12,13,14],[1,4,7,8,10,11,14],[1,5,6,7,10,12,13],[1,6,7,8,9,11,14],[1,6,7,8,9,12,13],[2,3,7,9,11,13,14],[2,4,5,7,8,11,12],[2,4,6,9,10,12,14],[2,4,7,8,10,13,14],[2,5,6,8,9,11,13],[2,5,6,8,10,13,14],[2,5,7,9,10,11,12],[3,4,5,6,7,13,14],[3,4,6,8,10,11,12],[3,4,6,9,10,11,13],[3,4,7,8,9,12,13],[3,5,6,8,11,12,14],[3,5,7,9,10,12,14]]; G[63]:=Group([(2,6,12)(3,7,13)(4,9,14)(5,8,11)]); # Design 64: autom. group order 3, 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],[1,2,4,6,10,13,14],[1,3,5,9,11,13,14],[1,4,5,7,11,12,13],[1,4,5,8,10,13,14],[1,4,7,8,9,11,12],[1,5,6,7,8,10,12],[1,6,7,9,10,12,14],[1,6,8,9,11,13,14],[2,3,7,8,12,13,14],[2,4,5,9,10,12,14],[2,4,6,7,9,11,13],[2,4,8,10,11,12,13],[2,5,6,7,8,11,14],[2,5,6,8,9,12,13],[2,5,7,9,10,11,14],[3,4,5,6,11,12,14],[3,4,6,7,9,10,13],[3,4,6,8,9,12,14],[3,4,7,8,10,11,14],[3,5,6,10,11,12,13],[3,5,7,8,9,10,13]]; G[64]:=Group([(2,12,13)(3,7,14)(4,10,11)(5,6,9)]); # Design 65: autom. group order 3, simple B[65]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,11,13,14],[1,3,5,9,10,13,14],[1,4,5,6,8,12,14],[1,4,6,7,9,10,12],[1,4,7,8,10,11,13],[1,5,7,8,10,12,14],[1,5,8,9,11,12,13],[1,6,7,9,11,13,14],[2,3,7,8,12,13,14],[2,4,5,7,11,12,13],[2,4,5,9,10,13,14],[2,4,8,9,10,11,12],[2,5,6,7,8,9,13],[2,5,6,10,11,12,14],[2,6,7,8,9,10,14],[3,4,5,7,10,11,14],[3,4,6,8,12,13,14],[3,4,6,9,10,12,13],[3,4,7,8,9,11,14],[3,5,6,7,9,11,12],[3,5,6,8,10,11,13]]; G[65]:=Group([(1,7,10)(2,9,5)(3,6,14)(4,8,13)]); # Design 66: autom. group order 3, simple B[66]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,11,12,14],[1,2,4,6,12,13,14],[1,3,5,9,10,13,14],[1,4,5,6,8,11,14],[1,4,6,7,9,10,12],[1,4,7,8,10,11,13],[1,5,7,8,10,12,14],[1,5,8,9,11,12,13],[1,6,7,9,11,13,14],[2,3,7,8,11,13,14],[2,4,5,7,11,12,13],[2,4,5,9,10,13,14],[2,4,8,9,10,11,12],[2,5,6,7,8,9,13],[2,5,6,10,11,12,14],[2,6,7,8,9,10,14],[3,4,5,7,10,11,14],[3,4,6,8,12,13,14],[3,4,6,9,10,11,13],[3,4,7,8,9,12,14],[3,5,6,7,9,11,12],[3,5,6,8,10,12,13]]; G[66]:=Group([(1,7,10)(2,9,5)(3,6,14)(4,8,13)]); # Design 67: autom. group order 3, simple, residual B[67]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,10,12,14],[1,4,5,6,11,12,14],[1,4,7,8,12,13,14],[1,4,7,9,10,11,13],[1,5,6,8,10,11,13],[1,5,7,8,9,11,14],[1,6,7,8,9,10,12],[2,3,7,8,9,11,12],[2,4,5,7,8,10,12],[2,4,5,9,10,13,14],[2,4,6,8,10,11,14],[2,5,6,7,9,11,14],[2,5,7,10,11,12,13],[2,6,8,9,12,13,14],[3,4,5,8,11,12,13],[3,4,6,7,8,10,14],[3,4,6,7,9,11,13],[3,4,9,10,11,12,14],[3,5,6,7,12,13,14],[3,5,6,8,9,10,13]]; G[67]:=Group([(1,8,11)(2,10,9)(3,6,7)(5,14,13)]); # Design 68: autom. group order 3, 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],[1,2,3,7,10,11,12],[1,2,3,9,12,13,14],[1,2,4,6,10,13,14],[1,3,5,8,12,13,14],[1,4,5,6,9,11,12],[1,4,7,8,11,12,13],[1,4,8,9,10,11,14],[1,5,6,7,10,13,14],[1,5,7,8,9,10,13],[1,6,7,9,11,12,14],[2,3,7,9,11,13,14],[2,4,5,7,9,11,13],[2,4,5,7,10,12,14],[2,4,6,8,11,13,14],[2,5,6,8,9,12,14],[2,5,8,10,11,12,13],[2,6,7,8,9,10,12],[3,4,5,10,11,12,14],[3,4,6,7,8,12,13],[3,4,6,9,10,12,13],[3,4,7,8,9,10,14],[3,5,6,7,8,11,14],[3,5,6,9,10,11,13]]; G[68]:=Group([(1,4,9)(2,10,12)(3,14,6)(5,8,11)]); # Design 69: autom. group order 3, simple B[69]:=[[1,2,3,4,5,6,7],[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],[1,4,5,9,10,11,14],[1,4,6,7,8,10,14],[1,4,6,7,9,12,13],[1,5,6,9,10,12,13],[1,5,7,8,9,10,11],[1,7,8,11,12,13,14],[2,3,7,9,10,13,14],[2,4,5,7,11,12,13],[2,4,5,8,10,12,13],[2,4,7,9,10,12,14],[2,5,6,7,8,11,14],[2,5,6,8,9,12,14],[2,6,8,9,10,11,13],[3,4,5,10,11,13,14],[3,4,6,8,9,11,13],[3,4,6,8,10,12,14],[3,4,7,8,9,11,12],[3,5,6,7,9,13,14],[3,5,6,7,10,11,12]]; G[69]:=Group([(1,4,6)(2,14,13)(3,10,9)(5,8,12)]); # Design 70: autom. group order 3, simple B[70]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,10,13,14],[1,4,5,8,11,12,13],[1,4,6,7,8,10,14],[1,4,6,7,9,12,13],[1,5,6,8,10,12,14],[1,5,7,8,9,11,12],[1,7,9,10,11,13,14],[2,3,7,8,12,13,14],[2,4,5,7,10,11,14],[2,4,5,9,10,12,14],[2,4,8,10,11,12,13],[2,5,6,7,9,11,13],[2,5,6,8,9,10,13],[2,6,7,8,9,12,14],[3,4,5,7,12,13,14],[3,4,6,8,9,11,14],[3,4,6,9,10,12,13],[3,4,7,8,9,10,11],[3,5,6,7,10,11,12],[3,5,6,8,11,13,14]]; G[70]:=Group([(1,4,6)(2,13,14)(3,12,8)(5,9,10)]); # Design 71: autom. group order 3, simple B[71]:=[[1,2,3,4,5,6,7],[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],[1,4,5,9,10,12,13],[1,4,6,7,8,11,13],[1,4,6,8,12,13,14],[1,5,6,7,11,12,14],[1,5,7,9,10,12,13],[1,7,8,9,10,11,14],[2,3,7,9,12,13,14],[2,4,5,7,11,13,14],[2,4,5,8,10,11,12],[2,4,7,8,10,12,14],[2,5,6,7,8,9,13],[2,5,6,9,11,12,14],[2,6,8,9,10,11,13],[3,4,5,10,11,13,14],[3,4,6,7,9,10,14],[3,4,6,9,11,12,13],[3,4,7,8,9,11,12],[3,5,6,7,8,10,12],[3,5,6,8,10,13,14]]; G[71]:=Group([(1,5,13)(2,11,6)(3,14,8)(9,10,12)]); # Design 72: autom. group order 3, simple 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],[1,2,4,6,11,13,14],[1,3,5,8,12,13,14],[1,4,5,9,10,11,14],[1,4,6,7,8,9,13],[1,4,6,7,10,12,14],[1,5,7,8,11,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,12,13],[2,3,7,9,10,13,14],[2,4,5,7,11,12,13],[2,4,5,8,10,12,13],[2,4,7,8,9,10,14],[2,5,6,8,9,12,14],[2,5,6,9,10,11,13],[2,6,7,8,11,12,14],[3,4,5,6,10,12,14],[3,4,6,9,11,12,13],[3,4,7,8,9,11,12],[3,4,8,10,11,13,14],[3,5,6,7,8,10,11],[3,5,6,7,9,13,14]]; G[72]:=Group([(1,4,6)(2,14,13)(3,10,9)(5,12,8)]); # Design 73: autom. group order 3, simple B[73]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,12,13],[1,2,3,10,11,12,14],[1,2,4,6,10,13,14],[1,3,5,8,12,13,14],[1,4,5,9,10,11,13],[1,4,6,7,8,9,14],[1,4,6,7,11,12,13],[1,5,7,8,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,11,12,14],[2,3,7,9,11,13,14],[2,4,5,7,10,12,14],[2,4,5,8,11,12,14],[2,4,8,9,10,11,13],[2,5,6,7,9,11,14],[2,5,6,8,9,12,13],[2,6,7,8,10,12,13],[3,4,5,6,11,12,13],[3,4,6,9,10,12,14],[3,4,7,8,9,10,12],[3,4,7,8,11,13,14],[3,5,6,7,8,10,11],[3,5,6,9,10,13,14]]; G[73]:=Group([(1,4,6)(2,13,14)(3,11,9)(5,12,8)]); # Design 74: autom. group order 3, simple B[74]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,11,12],[1,2,3,9,12,13,14],[1,2,4,6,10,13,14],[1,3,5,7,12,13,14],[1,4,5,7,9,11,13],[1,4,6,8,9,11,12],[1,4,7,8,9,10,14],[1,5,6,8,10,13,14],[1,5,6,9,11,12,14],[1,7,8,10,11,12,13],[2,3,8,9,11,13,14],[2,4,5,8,11,12,13],[2,4,5,10,11,12,14],[2,4,6,7,11,13,14],[2,5,6,7,9,10,12],[2,5,7,8,9,10,13],[2,6,7,8,9,12,14],[3,4,5,8,10,12,14],[3,4,6,7,8,12,13],[3,4,6,9,10,12,13],[3,4,7,9,10,11,14],[3,5,6,7,8,11,14],[3,5,6,9,10,11,13]]; G[74]:=Group([(1,4,9)(2,10,12)(3,14,6)(5,7,11)]); # Design 75: autom. group order 3, simple 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],[1,2,4,6,9,13,14],[1,3,5,7,12,13,14],[1,4,5,10,11,12,13],[1,4,6,8,10,12,14],[1,4,7,8,9,11,13],[1,5,6,7,10,11,14],[1,5,8,9,11,12,14],[1,6,7,8,9,10,13],[2,3,8,10,11,13,14],[2,4,5,6,11,13,14],[2,4,5,8,10,12,13],[2,4,7,9,10,12,14],[2,5,6,7,8,11,12],[2,5,7,8,9,10,14],[2,6,7,9,11,12,13],[3,4,5,7,9,10,11],[3,4,6,7,8,12,14],[3,4,6,9,10,11,12],[3,4,7,8,11,13,14],[3,5,6,8,9,12,13],[3,5,6,9,10,13,14]]; G[75]:=Group([(1,6,10)(2,9,12)(3,13,4)(7,14,11)]); # Design 76: autom. group order 3, 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],[1,2,3,7,10,11,12],[1,2,3,9,12,13,14],[1,2,4,6,10,13,14],[1,3,5,9,11,13,14],[1,4,5,7,10,12,13],[1,4,6,7,11,13,14],[1,4,7,8,9,11,14],[1,5,6,8,9,12,13],[1,5,8,10,11,12,14],[1,6,7,8,9,10,12],[2,3,7,8,12,13,14],[2,4,5,6,9,11,12],[2,4,5,7,8,12,14],[2,4,8,9,10,11,13],[2,5,6,8,10,13,14],[2,5,7,9,10,11,14],[2,6,7,9,11,12,13],[3,4,5,10,11,12,13],[3,4,6,8,11,12,14],[3,4,6,9,10,12,14],[3,4,7,8,9,10,13],[3,5,6,7,8,11,13],[3,5,6,7,9,10,14]]; G[76]:=Group([(1,10,12)(2,4,9)(3,13,6)(5,8,11)]); # Design 77: autom. group order 3, 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],[1,2,3,7,9,10,12],[1,2,3,11,12,13,14],[1,2,4,6,10,13,14],[1,3,5,9,12,13,14],[1,4,5,7,10,12,13],[1,4,6,7,9,11,14],[1,4,8,9,10,11,13],[1,5,6,8,11,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,12,14],[2,3,7,8,11,13,14],[2,4,5,6,11,12,14],[2,4,5,8,9,11,12],[2,4,7,8,10,12,14],[2,5,6,9,10,13,14],[2,5,7,9,10,11,13],[2,6,7,8,9,12,13],[3,4,5,7,8,13,14],[3,4,6,7,9,11,13],[3,4,6,8,10,12,13],[3,4,9,10,11,12,14],[3,5,6,7,10,11,12],[3,5,6,8,9,10,14]]; G[77]:=Group([(1,8,11)(2,14,9)(3,7,4)(5,13,6)]); # Design 78: autom. group order 3, 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],[1,2,3,7,9,10,12],[1,2,3,11,12,13,14],[1,2,4,6,12,13,14],[1,3,5,9,10,13,14],[1,4,5,7,10,12,13],[1,4,6,7,9,11,14],[1,4,8,9,10,11,13],[1,5,6,8,11,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,12,14],[2,3,7,8,11,13,14],[2,4,5,6,10,11,14],[2,4,5,8,9,11,12],[2,4,7,8,10,12,14],[2,5,6,9,10,13,14],[2,5,7,9,11,12,13],[2,6,7,8,9,10,13],[3,4,5,7,8,13,14],[3,4,6,7,9,11,13],[3,4,6,8,10,12,13],[3,4,9,10,11,12,14],[3,5,6,7,10,11,12],[3,5,6,8,9,12,14]]; G[78]:=Group([(1,8,11)(2,14,9)(3,7,4)(5,13,6)]); # Design 79: autom. group order 3, simple B[79]:=[[1,2,3,4,5,6,7],[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],[1,3,5,10,12,13,14],[1,4,5,7,11,13,14],[1,4,6,9,11,12,13],[1,4,7,8,10,12,14],[1,5,6,7,9,12,13],[1,5,7,8,9,10,11],[1,6,8,9,10,11,14],[2,3,7,9,11,12,14],[2,4,5,6,9,10,14],[2,4,5,10,11,13,14],[2,4,7,8,11,12,13],[2,5,6,7,10,11,12],[2,5,8,9,10,12,13],[2,6,7,8,9,13,14],[3,4,5,8,9,11,12],[3,4,6,7,9,10,13],[3,4,6,8,10,11,13],[3,4,7,9,10,12,14],[3,5,6,7,8,11,14],[3,5,6,8,12,13,14]]; G[79]:=Group([(1,6,11)(2,8,13)(3,14,4)(9,12,10)]); # Design 80: autom. group order 3, 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],[1,2,4,6,10,13,14],[1,3,5,9,11,13,14],[1,4,5,8,10,13,14],[1,4,6,7,9,12,13],[1,4,7,8,9,10,12],[1,5,6,7,8,11,12],[1,5,7,10,11,12,14],[1,6,8,9,11,13,14],[2,3,7,8,12,13,14],[2,4,5,6,11,12,14],[2,4,5,8,11,12,13],[2,4,7,8,9,11,14],[2,5,6,7,9,10,13],[2,5,7,9,10,11,13],[2,6,8,9,10,12,14],[3,4,5,9,10,12,14],[3,4,6,7,9,11,14],[3,4,6,10,11,12,13],[3,4,7,8,10,11,13],[3,5,6,7,8,10,14],[3,5,6,8,9,12,13]]; G[80]:=Group([(2,7,13)(3,12,14)(5,9,10)]); # Design 81: autom. group order 3, simple B[81]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,12,13,14],[1,2,3,10,11,12,13],[1,2,4,6,7,12,14],[1,3,5,7,8,10,14],[1,4,5,10,11,12,13],[1,4,6,9,10,11,14],[1,4,7,8,9,11,13],[1,5,6,8,12,13,14],[1,5,7,9,10,11,14],[1,6,7,8,9,12,13],[2,3,7,9,11,13,14],[2,4,5,6,11,13,14],[2,4,5,8,9,11,12],[2,4,7,8,10,13,14],[2,5,6,7,9,10,13],[2,5,8,9,10,12,14],[2,6,7,8,10,11,12],[3,4,5,7,10,12,13],[3,4,6,8,9,10,13],[3,4,6,9,10,12,14],[3,4,7,8,11,12,14],[3,5,6,7,9,11,12],[3,5,6,8,11,13,14]]; G[81]:=Group([(2,10,13)(3,11,12)(4,14,8)(5,9,6)]); # Design 82: autom. group order 3, simple B[82]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,3,9,12,13,14],[1,2,4,6,11,12,14],[1,3,5,10,11,13,14],[1,4,5,7,8,11,12],[1,4,6,9,10,11,14],[1,4,7,9,10,11,13],[1,5,6,7,8,9,13],[1,5,8,9,10,12,14],[1,6,7,8,12,13,14],[2,3,7,8,9,11,14],[2,4,5,7,10,13,14],[2,4,5,9,11,12,13],[2,4,6,8,10,12,13],[2,5,6,7,9,10,14],[2,5,6,8,11,13,14],[2,7,8,9,10,11,12],[3,4,5,8,10,12,14],[3,4,6,7,9,12,14],[3,4,6,8,9,10,13],[3,4,7,8,11,13,14],[3,5,6,7,10,11,12],[3,5,6,9,11,12,13]]; G[82]:=Group([(1,5,8)(2,10,13)(3,14,6)(4,12,7)]); # Design 83: autom. group order 3, simple, residual B[83]:=[[1,2,3,4,5,6,7],[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],[1,4,5,7,8,12,14],[1,4,6,9,10,13,14],[1,4,7,8,9,10,13],[1,5,6,7,10,11,13],[1,5,8,9,11,12,13],[1,6,7,8,11,12,14],[2,3,7,8,9,13,14],[2,4,5,7,11,13,14],[2,4,5,8,10,11,12],[2,4,6,8,10,12,13],[2,5,6,7,9,12,13],[2,5,6,9,10,12,14],[2,7,8,9,10,11,14],[3,4,5,10,11,13,14],[3,4,6,7,9,11,12],[3,4,6,8,12,13,14],[3,4,7,9,10,11,12],[3,5,6,7,8,10,14],[3,5,6,8,9,11,13]]; G[83]:=Group([(1,5,8)(2,13,14)(3,11,7)(4,9,12)]); # Design 84: autom. group order 3, simple, residual B[84]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,11,12,14],[1,4,5,9,10,11,13],[1,4,6,8,9,10,12],[1,4,7,8,10,11,14],[1,5,6,7,11,12,13],[1,5,7,9,10,13,14],[1,6,7,8,9,12,14],[2,3,7,9,10,12,14],[2,4,5,7,8,12,13],[2,4,5,9,11,12,14],[2,4,6,7,9,10,11],[2,5,6,8,10,11,14],[2,5,6,8,10,13,14],[2,7,8,9,11,12,13],[3,4,5,7,10,12,14],[3,4,6,7,11,13,14],[3,4,6,8,9,13,14],[3,4,8,10,11,12,13],[3,5,6,7,8,9,11],[3,5,6,9,10,12,13]]; G[84]:=Group([(1,3,12)(2,10,6)(4,7,9)(5,14,8)]); # Design 85: autom. group order 3, simple, residual B[85]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,11,12,14],[1,4,5,9,10,11,13],[1,4,6,8,9,10,12],[1,4,7,8,10,13,14],[1,5,6,7,11,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,12,14],[2,3,7,9,10,12,14],[2,4,5,7,8,11,12],[2,4,5,9,12,13,14],[2,4,6,7,9,10,11],[2,5,6,8,10,11,14],[2,5,6,8,10,13,14],[2,7,8,9,11,12,13],[3,4,5,7,10,12,14],[3,4,6,7,11,13,14],[3,4,6,8,9,11,14],[3,4,8,10,11,12,13],[3,5,6,7,8,9,13],[3,5,6,9,10,12,13]]; G[85]:=Group([(1,3,12)(2,10,6)(4,7,9)(5,14,8)]); # Design 86: autom. group order 3, simple, residual B[86]:=[[1,2,3,4,5,6,7],[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],[1,4,5,8,9,11,14],[1,4,6,9,10,13,14],[1,4,7,8,11,12,13],[1,5,6,7,10,11,14],[1,5,7,9,11,12,13],[1,6,7,8,9,10,12],[2,3,7,9,11,12,14],[2,4,5,7,9,10,12],[2,4,5,10,11,12,13],[2,4,6,8,9,10,11],[2,5,6,7,8,11,14],[2,5,6,8,12,13,14],[2,7,8,9,10,13,14],[3,4,5,7,10,13,14],[3,4,6,7,8,11,13],[3,4,6,7,9,12,14],[3,4,8,10,11,12,14],[3,5,6,8,9,12,13],[3,5,6,9,10,11,13]]; G[86]:=Group([(1,9,11)(2,12,8)(3,7,4)(5,14,13)]); # Design 87: autom. group order 3, simple B[87]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,3,10,11,13,14],[1,2,4,6,9,10,12],[1,3,5,9,11,12,13],[1,4,5,8,10,12,14],[1,4,6,7,8,11,13],[1,4,7,9,11,12,14],[1,5,6,8,9,11,14],[1,5,7,8,10,12,13],[1,6,7,9,10,13,14],[2,3,7,8,9,12,14],[2,4,5,7,9,11,13],[2,4,5,10,11,13,14],[2,4,6,8,12,13,14],[2,5,6,9,12,13,14],[2,5,7,8,10,11,12],[2,6,7,8,9,10,11],[3,4,5,6,7,10,14],[3,4,6,8,11,12,13],[3,4,7,9,10,12,13],[3,4,8,9,10,11,14],[3,5,6,7,11,12,14],[3,5,6,8,9,10,13]]; G[87]:=Group([(1,11,14)(3,10,13)(4,7,12)(5,8,6)]); # Design 88: autom. group order 3, simple, residual B[88]:=[[1,2,3,4,5,6,7],[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],[1,4,5,7,10,12,13],[1,4,6,8,9,13,14],[1,4,7,8,9,10,12],[1,5,6,7,8,11,12],[1,5,8,10,11,13,14],[1,6,7,9,11,12,14],[2,3,7,8,12,13,14],[2,4,5,8,11,12,14],[2,4,5,9,11,12,13],[2,4,7,9,10,11,14],[2,5,6,7,8,9,14],[2,5,6,7,10,11,13],[2,6,8,9,10,12,13],[3,4,5,6,10,12,14],[3,4,6,7,9,11,13],[3,4,6,8,11,12,13],[3,4,7,8,10,11,14],[3,5,6,9,10,12,14],[3,5,7,8,9,10,13]]; G[88]:=Group([(2,7,13)(3,12,14)(5,10,6)]); # Design 89: autom. group order 3, simple B[89]:=[[1,2,3,4,5,6,7],[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],[1,4,5,10,12,13,14],[1,4,6,7,8,11,14],[1,4,7,9,10,11,12],[1,5,6,8,9,11,13],[1,5,7,8,9,10,12],[1,6,7,8,12,13,14],[2,3,7,8,9,12,14],[2,4,5,7,11,12,13],[2,4,5,8,10,13,14],[2,4,8,9,11,12,14],[2,5,6,7,9,12,13],[2,5,6,7,10,11,14],[2,6,8,9,10,11,13],[3,4,5,6,8,11,12],[3,4,6,7,9,13,14],[3,4,6,9,10,12,13],[3,4,7,8,10,11,13],[3,5,6,8,10,12,14],[3,5,7,9,10,11,14]]; G[89]:=Group([(1,9,14)(2,6,10)(3,13,5)(7,12,8)]); # Design 90: autom. group order 3, simple, residual B[90]:=[[1,2,3,4,5,6,7],[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],[1,4,5,8,11,12,13],[1,4,6,7,9,10,11],[1,4,7,8,10,11,13],[1,5,6,10,11,12,14],[1,5,7,8,9,13,14],[1,6,7,8,9,12,14],[2,3,7,8,11,13,14],[2,4,5,7,11,12,14],[2,4,5,8,9,10,12],[2,4,9,10,11,13,14],[2,5,6,7,8,10,14],[2,5,6,7,9,11,13],[2,6,8,9,10,12,13],[3,4,5,6,10,13,14],[3,4,6,7,9,12,13],[3,4,6,8,9,11,14],[3,4,7,8,10,12,14],[3,5,6,8,11,12,13],[3,5,7,9,10,11,12]]; G[90]:=Group([(1,5,8)(2,11,14)(3,12,7)(4,13,9)]); # Design 91: autom. group order 3, simple, residual B[91]:=[[1,2,3,4,5,6,7],[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],[1,4,5,8,10,11,13],[1,4,6,7,8,11,12],[1,4,8,9,10,12,14],[1,5,6,7,9,11,14],[1,5,7,10,11,12,13],[1,6,7,8,9,13,14],[2,3,7,8,11,13,14],[2,4,5,7,9,12,13],[2,4,5,8,11,13,14],[2,4,7,9,10,11,14],[2,5,6,8,9,10,12],[2,5,6,10,11,12,14],[2,6,7,8,9,10,13],[3,4,5,6,7,10,14],[3,4,6,9,10,11,13],[3,4,6,9,11,12,13],[3,4,7,8,10,12,14],[3,5,6,8,12,13,14],[3,5,7,8,9,11,12]]; G[91]:=Group([(1,2,14)(3,11,9)(4,13,6)(5,8,7)]); # Design 92: autom. group order 3, simple, residual B[92]:=[[1,2,3,4,5,6,7],[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],[1,4,5,8,11,12,13],[1,4,6,7,8,10,11],[1,4,8,9,10,12,14],[1,5,6,7,9,11,14],[1,5,7,10,11,12,13],[1,6,7,8,9,13,14],[2,3,7,8,11,13,14],[2,4,5,7,9,10,13],[2,4,5,8,11,13,14],[2,4,7,9,10,11,14],[2,5,6,8,9,10,12],[2,5,6,10,11,12,14],[2,6,7,8,9,12,13],[3,4,5,6,7,12,14],[3,4,6,9,10,11,13],[3,4,6,9,11,12,13],[3,4,7,8,10,12,14],[3,5,6,8,10,13,14],[3,5,7,8,9,11,12]]; G[92]:=Group([(1,2,14)(3,11,9)(4,13,6)(5,8,7)]); # Design 93: autom. group order 3, simple B[93]:=[[1,2,3,4,5,6,7],[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],[1,4,5,8,10,12,13],[1,4,6,8,10,11,14],[1,4,7,9,11,12,14],[1,5,6,7,10,12,13],[1,5,7,8,9,10,14],[1,6,7,8,9,11,13],[2,3,7,8,9,10,12],[2,4,5,7,9,10,11],[2,4,5,10,11,13,14],[2,4,7,8,12,13,14],[2,5,6,7,11,12,14],[2,5,6,8,9,11,13],[2,6,8,9,10,12,14],[3,4,5,6,8,12,14],[3,4,6,7,8,10,11],[3,4,6,7,9,13,14],[3,4,9,10,11,12,13],[3,5,6,9,10,13,14],[3,5,7,8,11,12,13]]; G[93]:=Group([(1,9,10)(2,13,11)(3,6,4)(5,14,8)]); # Design 94: autom. group order 3, simple B[94]:=[[1,2,3,4,5,6,7],[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],[1,4,5,10,11,13,14],[1,4,6,8,11,12,14],[1,4,7,8,9,10,12],[1,5,6,7,9,12,13],[1,5,7,8,9,10,11],[1,6,7,8,11,13,14],[2,3,7,8,9,11,14],[2,4,5,7,11,12,13],[2,4,5,8,10,13,14],[2,4,7,9,11,12,14],[2,5,6,7,10,12,14],[2,5,6,8,9,11,13],[2,6,8,9,10,12,13],[3,4,5,6,8,11,12],[3,4,6,7,9,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,12,13],[3,5,6,7,8,10,14],[3,5,9,10,11,12,14]]; G[94]:=Group([(1,9,14)(2,6,10)(3,13,5)(7,11,8)]); # Design 95: autom. group order 3, simple, residual B[95]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,10,12,14],[1,4,5,8,11,12,13],[1,4,6,8,10,11,14],[1,4,7,9,10,11,13],[1,5,6,7,12,13,14],[1,5,7,8,9,11,14],[1,6,7,8,9,10,12],[2,3,7,8,9,11,12],[2,4,5,7,8,10,12],[2,4,5,9,10,13,14],[2,4,7,10,11,12,14],[2,5,6,7,9,11,14],[2,5,6,8,10,11,13],[2,6,8,9,12,13,14],[3,4,5,6,11,12,14],[3,4,6,7,9,11,13],[3,4,6,8,9,10,14],[3,4,7,8,12,13,14],[3,5,6,7,8,10,13],[3,5,9,10,11,12,13]]; G[95]:=Group([(1,8,11)(2,10,9)(3,6,7)(4,5,13)]); # Design 96: autom. group order 3, simple B[96]:=[[1,2,3,4,5,6,7],[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],[1,4,5,9,11,12,13],[1,4,7,8,9,10,12],[1,4,7,10,11,13,14],[1,5,6,7,8,13,14],[1,5,6,7,9,11,12],[1,6,8,9,10,12,14],[2,3,7,9,12,13,14],[2,4,5,6,9,10,13],[2,4,5,8,11,12,14],[2,4,6,8,11,12,14],[2,5,7,8,10,12,13],[2,5,7,9,10,11,14],[2,6,7,8,9,11,13],[3,4,5,7,10,12,14],[3,4,6,7,8,12,13],[3,4,6,7,9,11,14],[3,4,8,9,10,11,13],[3,5,6,8,9,10,14],[3,5,6,10,11,12,13]]; G[96]:=Group([(2,12,14)(3,9,13)(4,11,8)]); # Design 97: autom. group order 3, simple, residual B[97]:=[[1,2,3,4,5,6,7],[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],[1,2,4,6,10,13,14],[1,3,5,9,11,13,14],[1,4,5,8,11,12,13],[1,4,7,8,11,12,13],[1,4,7,9,10,11,14],[1,5,6,7,9,12,14],[1,5,6,8,9,10,12],[1,6,7,8,10,13,14],[2,3,7,8,12,13,14],[2,4,5,6,11,13,14],[2,4,5,8,10,12,14],[2,4,6,7,9,11,12],[2,5,7,8,9,10,13],[2,5,7,9,10,11,13],[2,6,8,9,11,12,14],[3,4,5,7,10,12,14],[3,4,6,7,8,9,13],[3,4,6,9,10,12,13],[3,4,8,9,10,11,14],[3,5,6,7,8,11,14],[3,5,6,10,11,12,13]]; G[97]:=Group([(1,4,12)(2,10,9)(3,14,6)]); # Design 98: autom. group order 3, simple, residual B[98]:=[[1,2,3,4,5,6,7],[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],[1,4,7,8,9,10,12],[1,4,9,10,11,12,13],[1,5,6,7,9,11,12],[1,5,6,8,9,12,14],[1,6,7,8,10,13,14],[2,3,7,9,12,13,14],[2,4,5,6,11,12,13],[2,4,5,7,9,10,14],[2,4,7,8,11,12,14],[2,5,6,8,9,10,13],[2,5,8,10,11,12,14],[2,6,7,8,9,11,13],[3,4,5,8,10,12,13],[3,4,6,7,8,12,13],[3,4,6,8,9,11,14],[3,4,6,9,10,11,14],[3,5,6,7,10,12,14],[3,5,7,9,10,11,13]]; G[98]:=Group([(2,12,13)(3,9,14)(4,6,11)]); # Design 99: autom. group order 3, simple, residual B[99]:=[[1,2,3,4,5,6,7],[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],[1,4,7,8,9,10,12],[1,4,9,10,11,12,13],[1,5,6,7,9,11,12],[1,5,6,8,9,12,14],[1,6,7,8,10,13,14],[2,3,7,9,12,13,14],[2,4,5,6,11,12,13],[2,4,5,8,10,12,14],[2,4,7,8,11,12,14],[2,5,6,7,9,10,14],[2,5,8,9,10,11,13],[2,6,7,8,9,11,13],[3,4,5,7,9,10,13],[3,4,6,7,8,12,13],[3,4,6,8,9,11,14],[3,4,6,9,10,11,14],[3,5,6,8,10,12,13],[3,5,7,10,11,12,14]]; G[99]:=Group([(2,12,13)(3,9,14)(4,6,11)]); # Design 100: autom. group order 3, simple, residual B[100]:=[[1,2,3,4,5,6,7],[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],[1,4,5,6,7,12,13],[1,4,6,8,10,12,14],[1,4,7,9,10,11,13],[1,5,7,8,10,12,14],[1,5,8,9,11,12,13],[1,6,7,8,9,11,14],[2,3,7,8,12,13,14],[2,4,5,7,8,11,14],[2,4,5,9,10,12,14],[2,4,6,7,9,11,12],[2,5,6,8,11,12,13],[2,5,6,9,10,13,14],[2,6,7,8,9,10,13],[3,4,5,8,10,11,13],[3,4,6,8,9,10,12],[3,4,6,11,12,13,14],[3,4,7,8,9,13,14],[3,5,6,7,10,11,14],[3,5,7,9,10,11,12]]; G[100]:=Group([(1,7,12)(2,14,6)(3,8,4)(5,13,10)]); # Design 101: autom. group order 3, simple, residual B[101]:=[[1,2,3,4,5,6,7],[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],[1,4,5,7,8,12,14],[1,4,6,7,8,9,13],[1,4,6,9,10,11,14],[1,5,7,8,10,11,12],[1,5,7,9,10,11,13],[1,6,8,9,12,13,14],[2,3,7,8,9,11,14],[2,4,5,6,9,11,12],[2,4,5,8,10,13,14],[2,4,7,9,11,13,14],[2,5,6,7,11,12,13],[2,5,6,8,10,13,14],[2,6,7,8,9,10,12],[3,4,5,9,10,12,13],[3,4,6,7,10,12,14],[3,4,6,8,11,12,13],[3,4,7,8,10,11,13],[3,5,6,7,9,10,14],[3,5,8,9,11,12,14]]; G[101]:=Group([(1,3,11)(2,8,10)(5,13,14)(7,12,9)]); # Design 102: autom. group order 3, simple, residual B[102]:=[[1,2,3,4,5,6,7],[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],[1,4,5,8,10,11,13],[1,4,6,7,8,12,14],[1,4,6,7,9,11,13],[1,5,7,8,12,13,14],[1,5,7,9,10,11,14],[1,6,8,9,10,11,12],[2,3,7,8,9,11,14],[2,4,5,7,10,11,12],[2,4,5,8,11,13,14],[2,4,6,8,9,12,13],[2,5,6,7,9,10,13],[2,5,6,9,11,12,14],[2,6,7,8,10,13,14],[3,4,5,6,10,12,14],[3,4,6,10,11,13,14],[3,4,7,8,9,10,14],[3,4,7,9,11,12,13],[3,5,6,7,8,11,12],[3,5,8,9,10,12,13]]; G[102]:=Group([(1,4,7)(2,11,14)(3,13,8)(5,9,12)]); # Design 103: autom. group order 3, simple, residual B[103]:=[[1,2,3,4,5,6,7],[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],[1,2,4,6,7,13,14],[1,3,5,10,11,13,14],[1,4,6,8,9,10,12],[1,4,6,9,10,11,14],[1,4,7,8,11,12,13],[1,5,6,8,12,13,14],[1,5,7,8,9,11,14],[1,5,7,9,10,12,13],[2,3,8,9,12,13,14],[2,4,5,7,11,12,14],[2,4,5,8,10,11,12],[2,4,5,9,10,13,14],[2,5,6,8,10,11,13],[2,6,7,8,9,10,14],[2,6,7,9,11,12,13],[3,4,5,6,9,12,13],[3,4,6,8,11,13,14],[3,4,7,8,10,12,14],[3,4,7,9,10,11,13],[3,5,6,7,8,9,11],[3,5,6,7,10,12,14]]; G[103]:=Group([(1,5,12)(3,4,11)(6,8,14)(7,10,9)]); # Design 104: autom. group order 3, simple B[104]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,11,13,14],[1,4,6,7,8,10,13],[1,4,6,9,11,12,14],[1,4,7,9,10,11,13],[1,5,6,8,9,10,12],[1,5,7,8,10,12,14],[1,5,8,9,11,13,14],[2,3,8,9,10,11,14],[2,4,5,7,10,11,14],[2,4,5,8,11,12,13],[2,4,5,9,10,12,13],[2,5,6,7,9,10,14],[2,6,7,8,9,11,13],[2,6,7,8,12,13,14],[3,4,5,6,8,13,14],[3,4,6,9,10,13,14],[3,4,7,8,9,12,14],[3,4,7,8,10,11,12],[3,5,6,7,9,11,12],[3,5,6,10,11,12,13]]; G[104]:=Group([(1,4,12)(3,5,13)(6,11,14)(7,8,10)]); # Design 105: autom. group order 3, simple B[105]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,11,13,14],[1,4,6,7,8,10,13],[1,4,6,9,11,12,14],[1,4,8,9,10,13,14],[1,5,6,9,10,11,13],[1,5,7,8,9,11,12],[1,5,7,8,10,12,14],[2,3,8,9,10,11,14],[2,4,5,7,10,11,14],[2,4,5,8,11,12,13],[2,4,5,9,10,12,13],[2,5,6,7,9,10,14],[2,6,7,8,9,11,13],[2,6,7,8,12,13,14],[3,4,5,6,8,13,14],[3,4,6,7,9,10,12],[3,4,7,8,10,11,12],[3,4,7,9,11,13,14],[3,5,6,8,9,12,14],[3,5,6,10,11,12,13]]; G[105]:=Group([(1,4,12)(3,5,13)(6,11,14)(7,8,10)]); # Design 106: autom. group order 3, simple, residual B[106]:=[[1,2,3,4,5,6,7],[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],[1,4,6,7,10,11,13],[1,4,6,9,10,13,14],[1,4,7,8,9,10,12],[1,5,6,7,8,12,14],[1,5,7,8,9,11,13],[1,5,8,10,11,12,14],[2,3,7,8,10,11,14],[2,4,5,7,11,12,13],[2,4,5,8,10,12,13],[2,4,5,9,10,11,14],[2,5,6,7,9,10,14],[2,6,7,8,9,11,13],[2,6,8,9,12,13,14],[3,4,5,6,8,13,14],[3,4,6,8,9,11,12],[3,4,7,8,10,13,14],[3,4,7,9,11,12,14],[3,5,6,7,9,10,12],[3,5,6,10,11,12,13]]; G[106]:=Group([(1,4,12)(3,5,13)(6,11,14)(8,10,9)]); # Design 107: autom. group order 3, simple B[107]:=[[1,2,3,4,5,6,7],[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],[1,4,6,7,9,11,13],[1,4,6,8,10,13,14],[1,4,7,8,9,10,12],[1,5,6,7,10,12,14],[1,5,7,8,10,11,13],[1,5,8,9,11,12,14],[2,3,7,8,10,11,14],[2,4,5,7,11,12,13],[2,4,5,8,10,12,13],[2,4,5,9,10,11,14],[2,5,6,7,9,10,14],[2,6,7,8,9,11,13],[2,6,8,9,12,13,14],[3,4,5,6,8,13,14],[3,4,6,9,10,11,12],[3,4,7,8,11,12,14],[3,4,7,9,10,13,14],[3,5,6,7,8,9,12],[3,5,6,10,11,12,13]]; G[107]:=Group([(1,4,12)(3,5,13)(6,11,14)(8,10,9)]); # Design 108: autom. group order 3, simple B[108]:=[[1,2,3,4,5,6,7],[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],[1,4,6,7,9,10,13],[1,4,6,9,11,12,14],[1,4,7,8,10,11,13],[1,5,6,7,8,10,12],[1,5,7,9,11,13,14],[1,5,8,9,10,12,14],[2,3,7,9,10,11,14],[2,4,5,7,10,11,14],[2,4,5,8,11,12,13],[2,4,5,9,10,12,13],[2,5,6,7,8,9,14],[2,6,7,8,12,13,14],[2,6,8,9,10,11,13],[3,4,5,6,10,13,14],[3,4,6,8,9,13,14],[3,4,7,8,9,11,12],[3,4,7,8,10,12,14],[3,5,6,7,11,12,13],[3,5,6,9,10,11,12]]; G[108]:=Group([(1,4,12)(3,5,13)(6,11,14)(7,8,10)]); # Design 109: autom. group order 3, simple B[109]:=[[1,2,3,4,5,6,7],[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],[1,4,6,7,9,13,14],[1,4,6,9,10,11,13],[1,4,7,8,9,10,12],[1,5,6,8,10,12,14],[1,5,7,8,9,11,13],[1,5,7,10,11,12,14],[2,3,7,9,10,11,14],[2,4,5,7,11,12,13],[2,4,5,8,10,12,13],[2,4,5,9,10,11,14],[2,5,6,7,8,9,14],[2,6,7,8,10,11,13],[2,6,8,9,12,13,14],[3,4,5,6,10,13,14],[3,4,6,7,8,11,12],[3,4,7,8,10,13,14],[3,4,8,9,11,12,14],[3,5,6,7,9,10,12],[3,5,6,9,11,12,13]]; G[109]:=Group([(1,4,12)(3,5,13)(6,11,14)(8,10,9)]); # Design 110: autom. group order 3, simple, residual B[110]:=[[1,2,3,4,5,6,7],[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],[1,4,6,8,9,11,13],[1,4,7,8,9,10,12],[1,5,6,9,10,12,14],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,7,9,10,11,14],[2,4,5,7,11,12,13],[2,4,5,8,10,12,13],[2,4,5,9,10,11,14],[2,5,6,7,8,9,14],[2,6,7,8,10,11,13],[2,6,8,9,12,13,14],[3,4,5,6,10,13,14],[3,4,6,7,9,11,12],[3,4,7,8,9,13,14],[3,4,8,10,11,12,14],[3,5,6,7,8,10,12],[3,5,6,9,11,12,13]]; G[110]:=Group([(1,4,12)(3,5,13)(6,11,14)(8,10,9)]); # Design 111: autom. group order 3, simple B[111]:=[[1,2,3,4,5,6,7],[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],[1,4,6,8,9,10,13],[1,4,6,9,11,12,14],[1,4,7,8,10,13,14],[1,5,6,7,9,11,13],[1,5,7,8,9,12,14],[1,5,7,8,10,11,12],[2,3,7,8,9,11,14],[2,4,5,7,10,11,14],[2,4,5,8,11,12,13],[2,4,5,9,10,12,13],[2,5,6,8,9,10,14],[2,6,7,8,12,13,14],[2,6,7,9,10,11,13],[3,4,5,6,7,13,14],[3,4,6,7,8,10,12],[3,4,7,9,10,11,12],[3,4,8,9,11,13,14],[3,5,6,8,11,12,13],[3,5,6,9,10,12,14]]; G[111]:=Group([(1,4,12)(3,5,13)(6,11,14)(7,8,10)]); # Design 112: autom. group order 3, simple B[112]:=[[1,2,3,4,5,6,7],[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],[1,4,6,7,8,9,14],[1,4,7,8,10,12,13],[1,4,9,10,11,12,13],[1,5,6,7,8,11,13],[1,5,6,9,10,13,14],[1,5,7,9,11,12,14],[2,3,7,9,12,13,14],[2,4,5,6,12,13,14],[2,4,5,7,10,11,13],[2,4,5,8,9,10,12],[2,5,7,8,10,11,14],[2,6,7,8,9,12,13],[2,6,8,9,10,11,14],[3,4,5,9,11,13,14],[3,4,6,7,9,10,11],[3,4,6,8,10,13,14],[3,4,7,8,11,12,14],[3,5,6,7,9,10,12],[3,5,6,8,11,12,13]]; G[112]:=Group([(1,5,9)(3,4,8)(6,10,13)(7,12,11)]); # Design 113: autom. group order 3, simple, residual B[113]:=[[1,2,3,4,5,6,7],[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],[1,2,4,6,9,12,14],[1,3,5,8,10,12,14],[1,4,6,7,10,11,14],[1,4,7,8,10,12,13],[1,4,8,9,11,12,13],[1,5,6,7,9,10,13],[1,5,6,8,11,13,14],[1,5,7,9,11,12,14],[2,3,7,11,12,13,14],[2,4,5,6,12,13,14],[2,4,5,7,10,11,13],[2,4,5,8,10,11,12],[2,5,7,8,9,10,14],[2,6,7,8,9,12,13],[2,6,8,9,10,11,14],[3,4,5,9,11,13,14],[3,4,6,7,8,9,11],[3,4,6,8,10,13,14],[3,4,7,9,10,12,14],[3,5,6,7,8,11,12],[3,5,6,9,10,12,13]]; G[113]:=Group([(1,5,11)(3,4,10)(6,8,13)(7,12,9)]); # Design 114: autom. group order 3, simple, residual B[114]:=[[1,2,3,4,5,6,7],[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],[1,4,6,7,9,11,13],[1,4,7,8,9,10,12],[1,4,8,10,11,13,14],[1,5,6,7,10,12,14],[1,5,6,8,9,11,12],[1,5,7,8,9,13,14],[2,3,7,8,9,11,14],[2,4,5,7,11,12,13],[2,4,5,8,10,12,13],[2,4,5,9,10,11,14],[2,5,6,7,8,10,14],[2,6,7,9,10,11,13],[2,6,8,9,12,13,14],[3,4,5,6,9,13,14],[3,4,6,7,8,10,13],[3,4,6,9,10,12,14],[3,4,7,8,11,12,14],[3,5,6,8,11,12,13],[3,5,7,9,10,11,12]]; G[114]:=Group([(1,4,12)(3,5,13)(6,11,14)(8,10,9)]); # Design 115: autom. group order 3, simple B[115]:=[[1,2,3,4,5,6,7],[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],[1,4,6,7,10,13,14],[1,4,7,8,9,10,12],[1,4,8,9,11,13,14],[1,5,6,7,8,9,13],[1,5,6,9,10,11,12],[1,5,7,8,11,12,14],[2,3,7,8,9,11,14],[2,4,5,7,11,12,13],[2,4,5,8,10,12,13],[2,4,5,9,10,11,14],[2,5,6,7,8,10,14],[2,6,7,9,10,11,13],[2,6,8,9,12,13,14],[3,4,5,6,9,13,14],[3,4,6,7,9,11,12],[3,4,6,8,10,12,14],[3,4,7,8,10,11,13],[3,5,6,8,11,12,13],[3,5,7,9,10,12,14]]; G[115]:=Group([(1,4,12)(3,5,13)(6,11,14)(8,10,9)]); # Design 116: autom. group order 3, simple B[116]:=[[1,2,3,4,5,6,7],[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],[1,4,6,7,8,11,13],[1,4,7,8,9,10,12],[1,4,8,9,11,13,14],[1,5,6,7,9,12,14],[1,5,6,9,10,11,12],[1,5,7,8,10,13,14],[2,3,7,8,9,11,14],[2,4,5,7,11,12,13],[2,4,5,8,10,12,13],[2,4,5,9,10,11,14],[2,5,6,7,8,10,14],[2,6,7,9,10,11,13],[2,6,8,9,12,13,14],[3,4,5,6,9,13,14],[3,4,6,7,9,10,13],[3,4,6,8,10,12,14],[3,4,7,10,11,12,14],[3,5,6,8,11,12,13],[3,5,7,8,9,11,12]]; G[116]:=Group([(1,4,12)(3,5,13)(6,11,14)(8,10,9)]); # Design 117: autom. group order 3, simple, residual B[117]:=[[1,2,3,4,5,6,7],[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],[1,4,6,7,8,13,14],[1,4,7,8,9,10,12],[1,4,8,10,11,13,14],[1,5,6,7,9,10,13],[1,5,6,8,9,11,12],[1,5,7,9,11,12,14],[2,3,7,8,9,11,14],[2,4,5,7,11,12,13],[2,4,5,8,10,12,13],[2,4,5,9,10,11,14],[2,5,6,7,8,10,14],[2,6,7,9,10,11,13],[2,6,8,9,12,13,14],[3,4,5,6,9,13,14],[3,4,6,7,10,11,12],[3,4,6,9,10,12,14],[3,4,7,8,9,11,13],[3,5,6,8,11,12,13],[3,5,7,8,10,12,14]]; G[117]:=Group([(1,4,12)(3,5,13)(6,11,14)(8,10,9)]); # Design 118: autom. group order 3, simple, residual B[118]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,11,13,14],[1,4,6,7,8,9,11],[1,4,7,8,9,12,14],[1,4,8,10,11,12,13],[1,5,6,7,10,11,14],[1,5,6,8,12,13,14],[1,5,7,9,10,12,13],[2,3,7,8,12,13,14],[2,4,5,7,11,12,14],[2,4,5,8,10,11,12],[2,4,5,9,10,13,14],[2,5,6,8,9,11,13],[2,6,7,8,9,10,14],[2,6,7,9,11,12,13],[3,4,5,6,7,12,13],[3,4,6,8,11,13,14],[3,4,6,9,10,12,14],[3,4,7,9,10,11,13],[3,5,6,8,9,10,12],[3,5,7,8,10,11,14]]; G[118]:=Group([(1,5,12)(3,4,11)(6,8,14)(7,10,9)]); # Design 119: autom. group order 3, simple, residual B[119]:=[[1,2,3,4,5,6,7],[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],[1,4,6,9,10,13,14],[1,4,7,8,9,10,12],[1,4,7,8,11,13,14],[1,5,6,7,8,10,13],[1,5,6,7,9,11,12],[1,5,8,10,11,12,14],[2,3,7,8,10,11,14],[2,4,5,7,11,12,13],[2,4,5,8,10,12,13],[2,4,5,9,10,11,14],[2,5,6,7,9,10,14],[2,6,7,8,9,11,13],[2,6,8,9,12,13,14],[3,4,5,6,8,13,14],[3,4,6,7,10,12,14],[3,4,6,8,9,11,12],[3,4,7,9,10,11,13],[3,5,6,10,11,12,13],[3,5,7,8,9,12,14]]; G[119]:=Group([(1,4,12)(3,5,13)(6,11,14)(8,10,9)]); # Design 120: autom. group order 3, simple B[120]:=[[1,2,3,4,5,6,7],[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],[1,4,6,8,10,13,14],[1,4,7,8,9,10,12],[1,4,7,10,11,13,14],[1,5,6,7,8,11,12],[1,5,6,7,9,10,13],[1,5,8,9,11,12,14],[2,3,7,8,10,11,14],[2,4,5,7,11,12,13],[2,4,5,8,10,12,13],[2,4,5,9,10,11,14],[2,5,6,7,9,10,14],[2,6,7,8,9,11,13],[2,6,8,9,12,13,14],[3,4,5,6,8,13,14],[3,4,6,7,9,12,14],[3,4,6,9,10,11,12],[3,4,7,8,9,11,13],[3,5,6,10,11,12,13],[3,5,7,8,10,12,14]]; G[120]:=Group([(1,4,12)(3,5,13)(6,11,14)(8,10,9)]); # Design 121: autom. group order 3, simple B[121]:=[[1,2,3,4,5,6,7],[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],[1,4,6,9,10,11,13],[1,4,7,8,9,10,12],[1,4,7,8,11,13,14],[1,5,6,7,9,11,12],[1,5,6,8,10,12,14],[1,5,7,9,10,13,14],[2,3,7,9,10,11,14],[2,4,5,7,11,12,13],[2,4,5,8,10,12,13],[2,4,5,9,10,11,14],[2,5,6,7,8,9,14],[2,6,7,8,10,11,13],[2,6,8,9,12,13,14],[3,4,5,6,10,13,14],[3,4,6,7,8,9,13],[3,4,6,7,10,12,14],[3,4,8,9,11,12,14],[3,5,6,9,11,12,13],[3,5,7,8,10,11,12]]; G[121]:=Group([(1,4,12)(3,5,13)(6,11,14)(8,10,9)]); # Design 122: autom. group order 3, simple, residual B[122]:=[[1,2,3,4,5,6,7],[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],[1,4,6,8,9,11,13],[1,4,7,8,9,10,12],[1,4,7,9,11,13,14],[1,5,6,7,10,11,12],[1,5,6,9,10,12,14],[1,5,7,8,10,13,14],[2,3,7,9,10,11,14],[2,4,5,7,11,12,13],[2,4,5,8,10,12,13],[2,4,5,9,10,11,14],[2,5,6,7,8,9,14],[2,6,7,8,10,11,13],[2,6,8,9,12,13,14],[3,4,5,6,10,13,14],[3,4,6,7,8,12,14],[3,4,6,7,9,10,13],[3,4,8,10,11,12,14],[3,5,6,9,11,12,13],[3,5,7,8,9,11,12]]; G[122]:=Group([(1,4,12)(3,5,13)(6,11,14)(8,10,9)]); # Design 123: autom. group order 3, simple B[123]:=[[1,2,3,4,5,6,7],[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],[1,4,6,9,11,12,14],[1,4,7,8,9,13,14],[1,4,7,8,10,11,13],[1,5,6,7,8,10,12],[1,5,6,9,10,13,14],[1,5,7,9,10,11,12],[2,3,7,9,10,11,14],[2,4,5,7,10,11,14],[2,4,5,8,11,12,13],[2,4,5,9,10,12,13],[2,5,6,7,8,9,14],[2,6,7,8,12,13,14],[2,6,8,9,10,11,13],[3,4,5,6,10,13,14],[3,4,6,7,9,11,13],[3,4,6,8,9,10,12],[3,4,7,8,10,12,14],[3,5,6,7,11,12,13],[3,5,8,9,11,12,14]]; G[123]:=Group([(1,4,12)(3,5,13)(6,11,14)(7,8,10)]); # Design 124: autom. group order 3, simple B[124]:=[[1,2,3,4,5,6,7],[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],[1,4,6,9,11,12,14],[1,4,7,8,9,11,13],[1,4,7,8,10,13,14],[1,5,6,7,9,10,12],[1,5,6,8,9,13,14],[1,5,7,8,10,11,12],[2,3,7,8,9,11,14],[2,4,5,7,10,11,14],[2,4,5,8,11,12,13],[2,4,5,9,10,12,13],[2,5,6,8,9,10,14],[2,6,7,8,12,13,14],[2,6,7,9,10,11,13],[3,4,5,6,7,13,14],[3,4,6,7,8,10,12],[3,4,6,9,10,11,13],[3,4,8,9,10,12,14],[3,5,6,8,11,12,13],[3,5,7,9,11,12,14]]; G[124]:=Group([(1,4,12)(3,5,13)(6,11,14)(7,8,10)]); # Design 125: autom. group order 3, simple B[125]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,11,12,14],[1,2,4,10,11,13,14],[1,3,5,6,8,13,14],[1,4,6,7,9,11,14],[1,4,6,8,9,10,12],[1,4,7,8,9,12,13],[1,5,6,10,11,12,13],[1,5,7,8,11,12,14],[1,5,7,9,10,13,14],[2,3,7,9,12,13,14],[2,4,5,6,7,12,13],[2,4,5,8,11,13,14],[2,4,5,9,10,11,12],[2,5,6,8,9,10,14],[2,6,7,8,9,11,13],[2,6,7,8,10,12,14],[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],[3,5,6,9,11,12,13],[3,5,7,8,9,10,11]]; G[125]:=Group([(1,5,7)(3,4,6)(8,12,11)(9,13,10)]); # Design 126: autom. group order 3, simple B[126]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,3,9,11,12,14],[1,2,4,10,11,13,14],[1,3,5,6,8,13,14],[1,4,6,7,9,11,13],[1,4,6,8,9,12,14],[1,4,7,8,10,12,14],[1,5,6,9,10,11,12],[1,5,7,8,11,12,13],[1,5,7,9,10,13,14],[2,3,7,9,12,13,14],[2,4,5,6,7,12,14],[2,4,5,8,10,11,14],[2,4,5,9,11,12,13],[2,5,6,8,9,10,13],[2,6,7,8,9,10,12],[2,6,7,8,11,13,14],[3,4,5,7,10,12,13],[3,4,6,8,11,12,13],[3,4,6,9,10,13,14],[3,4,7,8,9,10,11],[3,5,6,10,11,12,14],[3,5,7,8,9,11,14]]; G[126]:=Group([(1,5,7)(3,4,6)(8,12,11)(9,14,10)]); # Design 127: autom. group order 3, simple B[127]:=[[1,2,3,4,5,6,7],[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],[1,4,6,7,8,10,14],[1,4,6,7,9,12,13],[1,4,9,10,11,12,14],[1,5,6,9,10,12,13],[1,5,7,8,9,10,11],[1,5,7,8,11,13,14],[2,3,7,9,10,13,14],[2,4,5,7,9,10,14],[2,4,5,8,10,12,13],[2,4,7,8,11,12,13],[2,5,6,7,11,12,14],[2,5,6,8,9,12,14],[2,6,8,9,10,11,13],[3,4,5,6,9,11,13],[3,4,5,10,11,13,14],[3,4,6,8,10,12,14],[3,4,7,8,9,11,12],[3,5,6,7,10,11,12],[3,6,7,8,9,13,14]]; G[127]:=Group([(1,4,6)(2,14,13)(3,10,9)(5,8,12)]); # Design 128: autom. group order 3, simple, residual B[128]:=[[1,2,3,4,5,6,7],[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],[1,3,5,10,12,13,14],[1,4,6,7,9,10,11],[1,4,6,9,10,13,14],[1,4,7,11,12,13,14],[1,5,6,8,11,12,13],[1,5,7,8,9,10,14],[1,5,7,8,9,11,12],[2,3,7,9,11,12,14],[2,4,5,8,11,13,14],[2,4,5,9,10,12,14],[2,4,7,8,10,11,13],[2,5,6,7,9,12,13],[2,5,6,7,10,11,14],[2,6,8,9,10,12,13],[3,4,5,6,9,11,13],[3,4,5,7,10,12,13],[3,4,6,7,8,12,14],[3,4,8,9,10,11,12],[3,5,6,8,10,11,14],[3,6,7,8,9,13,14]]; G[128]:=Group([(1,13,14)(2,6,5)(3,9,10)(4,12,11)]); # Design 129: autom. group order 3, simple B[129]:=[[1,2,3,4,5,6,7],[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],[1,4,6,9,11,12,13],[1,4,7,8,9,11,12],[1,4,7,8,10,13,14],[1,5,6,7,9,10,12],[1,5,6,7,11,13,14],[1,5,8,9,10,12,14],[2,3,7,9,12,13,14],[2,4,5,6,8,9,13],[2,4,5,7,11,12,14],[2,4,8,10,11,12,13],[2,5,6,8,10,12,14],[2,5,7,9,10,11,13],[2,6,7,8,9,11,14],[3,4,5,7,10,12,13],[3,4,5,9,10,11,14],[3,4,6,7,8,12,14],[3,4,6,9,10,11,14],[3,5,6,8,11,12,13],[3,6,7,8,9,10,13]]; G[129]:=Group([(2,12,13)(3,9,14)(4,10,11)]); # Design 130: autom. group order 3, simple, residual B[130]:=[[1,2,3,4,5,6,7],[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],[1,4,6,9,11,12,13],[1,4,7,8,9,11,12],[1,4,7,8,10,13,14],[1,5,6,7,9,10,12],[1,5,6,7,11,13,14],[1,5,8,9,10,12,14],[2,3,7,9,12,13,14],[2,4,5,6,8,12,14],[2,4,5,7,9,10,13],[2,4,8,10,11,12,13],[2,5,6,8,9,11,13],[2,5,7,10,11,12,14],[2,6,7,8,9,11,14],[3,4,5,7,11,12,13],[3,4,5,9,10,11,14],[3,4,6,7,8,12,14],[3,4,6,9,10,11,14],[3,5,6,8,10,12,13],[3,6,7,8,9,10,13]]; G[130]:=Group([(2,12,13)(3,9,14)(4,10,11)]); # Design 131: autom. group order 3, simple, residual B[131]:=[[1,2,3,4,5,6,7],[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],[1,4,6,9,11,12,13],[1,4,7,8,9,11,12],[1,4,7,8,10,13,14],[1,5,6,7,9,10,12],[1,5,6,7,11,13,14],[1,5,8,9,10,12,14],[2,3,7,9,12,13,14],[2,4,5,6,8,12,14],[2,4,5,7,11,12,14],[2,4,8,10,11,12,13],[2,5,6,8,9,11,13],[2,5,7,9,10,11,13],[2,6,7,8,9,10,14],[3,4,5,7,10,12,13],[3,4,5,9,10,11,14],[3,4,6,7,8,9,13],[3,4,6,9,10,11,14],[3,5,6,8,10,12,13],[3,6,7,8,11,12,14]]; G[131]:=Group([(2,12,13)(3,9,14)(4,10,11)]); # Design 132: autom. group order 3, simple B[132]:=[[1,2,3,4,5,6,7],[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],[1,3,7,9,10,12,13],[1,4,5,7,8,11,12],[1,4,5,8,9,13,14],[1,4,6,9,10,11,14],[1,5,8,10,12,13,14],[1,6,7,8,10,11,12],[1,6,7,9,11,13,14],[2,3,8,10,11,13,14],[2,4,6,7,12,13,14],[2,4,7,8,9,11,13],[2,4,7,8,10,12,14],[2,5,6,8,9,11,12],[2,5,6,9,10,12,14],[2,5,7,9,10,11,13],[3,4,5,7,10,11,14],[3,4,5,9,11,12,14],[3,4,6,8,9,12,13],[3,4,6,10,11,12,13],[3,5,6,7,8,9,10],[3,5,6,7,8,13,14]]; G[132]:=Group([(1,2,3)(4,8,9)(5,11,12)(6,14,7)]); # Design 133: autom. group order 3, simple, residual B[133]:=[[1,2,3,4,5,6,7],[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],[1,3,7,9,10,12,13],[1,4,5,7,8,11,12],[1,4,5,8,9,13,14],[1,4,6,10,11,12,14],[1,5,9,10,11,13,14],[1,6,7,8,9,10,11],[1,6,7,8,12,13,14],[2,3,8,10,11,13,14],[2,4,6,9,10,12,14],[2,4,7,8,9,11,13],[2,4,7,10,11,12,13],[2,5,6,7,9,13,14],[2,5,6,8,9,11,12],[2,5,7,8,10,12,14],[3,4,5,7,8,10,14],[3,4,5,9,11,12,14],[3,4,6,7,11,13,14],[3,4,6,8,9,12,13],[3,5,6,7,9,10,11],[3,5,6,8,10,12,13]]; G[133]:=Group([(1,2,3)(4,8,9)(5,11,12)(6,14,7)]); # Design 134: autom. group order 3, simple, residual B[134]:=[[1,2,3,4,5,6,7],[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],[1,3,6,7,9,10,14],[1,4,5,6,10,11,13],[1,4,5,7,8,9,13],[1,4,6,8,11,12,14],[1,5,9,11,12,13,14],[1,6,7,8,10,12,13],[1,7,8,9,10,11,14],[2,3,8,10,11,13,14],[2,4,6,7,11,13,14],[2,4,6,9,10,12,14],[2,4,7,8,9,11,12],[2,5,6,7,8,10,11],[2,5,6,8,9,13,14],[2,5,7,9,10,12,13],[3,4,5,7,9,11,14],[3,4,5,8,10,13,14],[3,4,6,8,9,12,13],[3,4,7,10,11,12,13],[3,5,6,7,8,12,14],[3,5,6,9,10,11,12]]; G[134]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 135: autom. group order 3, simple B[135]:=[[1,2,3,4,5,6,7],[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],[1,3,6,7,9,10,14],[1,4,5,6,11,13,14],[1,4,5,8,9,13,14],[1,4,6,7,8,10,11],[1,5,7,9,10,11,12],[1,6,8,10,12,13,14],[1,7,8,9,11,12,13],[2,3,8,10,11,13,14],[2,4,6,7,9,12,13],[2,4,6,10,11,12,13],[2,4,7,8,9,11,14],[2,5,6,7,8,11,14],[2,5,6,8,9,10,12],[2,5,7,9,10,13,14],[3,4,5,7,8,12,13],[3,4,5,9,10,11,13],[3,4,6,8,9,12,14],[3,4,7,10,11,12,14],[3,5,6,7,8,10,13],[3,5,6,9,11,12,14]]; G[135]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 136: autom. group order 3, simple, residual B[136]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,12,14],[1,4,5,6,10,11,12],[1,4,5,7,8,9,13],[1,4,6,7,8,11,14],[1,5,7,9,11,12,14],[1,6,7,8,10,12,13],[1,8,9,10,11,13,14],[2,3,7,8,10,11,14],[2,4,6,7,9,10,14],[2,4,6,11,12,13,14],[2,4,7,8,9,11,12],[2,5,6,8,9,12,14],[2,5,6,8,10,11,13],[2,5,7,9,10,12,13],[3,4,5,8,10,12,14],[3,4,5,9,11,13,14],[3,4,6,8,9,12,13],[3,4,7,10,11,12,13],[3,5,6,7,8,13,14],[3,5,6,7,9,10,11]]; G[136]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 137: autom. group order 3, simple, residual B[137]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,12,14],[1,4,5,6,11,12,14],[1,4,5,7,8,9,14],[1,4,6,8,10,11,13],[1,5,7,9,10,11,13],[1,6,7,8,10,12,14],[1,7,8,9,11,12,13],[2,3,7,8,10,11,14],[2,4,6,7,9,12,13],[2,4,6,7,10,11,12],[2,4,8,9,11,12,14],[2,5,6,7,8,9,10],[2,5,6,8,11,13,14],[2,5,9,10,12,13,14],[3,4,5,7,8,12,13],[3,4,5,9,10,11,12],[3,4,6,8,9,13,14],[3,4,7,10,11,13,14],[3,5,6,7,9,11,14],[3,5,6,8,10,12,13]]; G[137]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 138: autom. group order 3, simple, residual B[138]:=[[1,2,3,4,5,6,7],[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],[1,4,5,6,9,11,12],[1,4,5,7,9,12,14],[1,4,6,8,10,11,13],[1,5,7,8,10,11,14],[1,6,7,9,11,13,14],[1,7,8,9,10,12,13],[2,3,7,9,10,11,14],[2,4,6,7,8,11,14],[2,4,6,9,10,12,14],[2,4,8,11,12,13,14],[2,5,6,7,8,9,10],[2,5,6,7,8,12,13],[2,5,9,10,11,12,13],[3,4,5,7,10,11,13],[3,4,5,8,9,13,14],[3,4,6,7,10,12,13],[3,4,7,8,9,11,12],[3,5,6,8,9,13,14],[3,5,6,10,11,12,14]]; G[138]:=Group([(1,2,10)(3,9,8)(5,14,13)(7,12,11)]); # Design 139: autom. group order 3, simple, residual B[139]:=[[1,2,3,4,5,6,7],[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],[1,4,5,6,9,10,11],[1,4,5,7,9,12,14],[1,4,6,8,11,12,13],[1,5,7,8,10,11,14],[1,6,7,9,11,13,14],[1,7,8,9,10,12,13],[2,3,7,9,11,12,14],[2,4,6,7,8,11,14],[2,4,6,10,12,13,14],[2,4,8,9,10,11,14],[2,5,6,7,8,9,12],[2,5,6,7,8,10,13],[2,5,9,10,11,12,13],[3,4,5,7,10,11,13],[3,4,5,8,9,13,14],[3,4,6,7,9,10,12],[3,4,7,8,11,12,13],[3,5,6,8,9,13,14],[3,5,6,10,11,12,14]]; G[139]:=Group([(1,7,10)(2,12,11)(3,9,5)(8,14,13)]); # Design 140: autom. group order 3, simple, residual B[140]:=[[1,2,3,4,5,6,7],[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],[1,3,6,7,9,10,14],[1,4,5,6,11,13,14],[1,4,5,8,9,13,14],[1,4,6,7,8,10,11],[1,5,7,8,9,12,13],[1,6,8,10,11,12,13],[1,7,9,10,11,12,14],[2,3,8,10,11,13,14],[2,4,6,10,12,13,14],[2,4,7,8,9,11,14],[2,4,7,9,11,12,13],[2,5,6,7,8,11,14],[2,5,6,7,9,10,13],[2,5,6,8,9,10,12],[3,4,5,7,10,11,12],[3,4,5,9,10,11,13],[3,4,6,7,8,12,13],[3,4,6,8,9,12,14],[3,5,6,9,11,12,14],[3,5,7,8,10,13,14]]; G[140]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 141: autom. group order 3, simple, residual B[141]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,12,14],[1,4,5,6,7,10,11],[1,4,5,8,9,12,13],[1,4,6,8,11,12,14],[1,5,7,8,9,10,14],[1,6,7,8,11,13,14],[1,7,9,10,11,12,13],[2,3,7,8,10,11,14],[2,4,6,7,10,12,13],[2,4,7,8,9,11,13],[2,4,9,10,11,12,14],[2,5,6,7,9,12,14],[2,5,6,8,9,13,14],[2,5,6,8,10,11,12],[3,4,5,7,9,11,14],[3,4,5,11,12,13,14],[3,4,6,7,8,9,12],[3,4,6,8,10,13,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13]]; G[141]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 142: autom. group order 3, simple, residual B[142]:=[[1,2,3,4,5,6,7],[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],[1,3,6,10,11,12,14],[1,4,5,6,7,9,14],[1,4,5,9,10,11,12],[1,4,6,8,10,12,13],[1,5,7,8,9,11,14],[1,6,7,8,12,13,14],[1,7,8,9,10,11,13],[2,3,7,8,9,12,14],[2,4,6,8,9,10,14],[2,4,7,9,11,12,13],[2,4,7,10,11,12,14],[2,5,6,7,10,11,13],[2,5,6,8,9,12,13],[2,5,6,8,10,11,14],[3,4,5,7,8,10,13],[3,4,5,8,11,13,14],[3,4,6,7,8,11,12],[3,4,6,9,11,13,14],[3,5,6,7,9,10,12],[3,5,9,10,12,13,14]]; G[142]:=Group([(1,2,3)(4,9,6)(5,8,11)(7,10,13)]); # Design 143: autom. group order 3, simple B[143]:=[[1,2,3,4,5,6,7],[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],[1,3,6,10,11,12,14],[1,4,5,6,9,10,14],[1,4,5,7,9,11,12],[1,4,6,7,8,12,13],[1,5,8,9,11,13,14],[1,6,7,8,10,12,14],[1,7,8,9,10,11,13],[2,3,7,8,9,12,14],[2,4,6,8,9,13,14],[2,4,7,9,10,11,12],[2,4,10,11,12,13,14],[2,5,6,7,8,11,14],[2,5,6,7,10,11,13],[2,5,6,8,9,10,12],[3,4,5,7,8,10,13],[3,4,5,8,10,11,14],[3,4,6,7,9,11,14],[3,4,6,8,11,12,13],[3,5,6,9,10,12,13],[3,5,7,9,12,13,14]]; G[143]:=Group([(1,2,3)(4,9,6)(5,8,11)(7,10,13)]); # Design 144: autom. group order 3, simple, residual B[144]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,12,14],[1,4,5,6,11,12,14],[1,4,5,7,8,9,14],[1,4,6,8,10,11,13],[1,5,7,8,9,12,13],[1,6,7,8,10,11,12],[1,7,9,10,11,13,14],[2,3,7,8,10,11,14],[2,4,6,7,10,12,14],[2,4,7,9,11,12,13],[2,4,8,9,11,12,14],[2,5,6,7,8,9,10],[2,5,6,8,11,13,14],[2,5,6,9,10,12,13],[3,4,5,7,10,11,13],[3,4,5,9,10,11,12],[3,4,6,7,8,12,13],[3,4,6,8,9,13,14],[3,5,6,7,9,11,14],[3,5,8,10,12,13,14]]; G[144]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 145: autom. group order 3, simple, residual B[145]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,12,14],[1,4,5,6,7,12,14],[1,4,5,8,9,11,14],[1,4,7,8,10,11,12],[1,5,7,9,10,11,13],[1,6,7,8,10,13,14],[1,6,8,9,11,12,13],[2,3,7,8,10,11,14],[2,4,6,7,9,10,11],[2,4,6,8,10,12,13],[2,4,6,9,11,12,14],[2,5,6,7,8,9,13],[2,5,7,8,9,12,14],[2,5,10,11,12,13,14],[3,4,5,6,8,11,13],[3,4,5,9,10,12,13],[3,4,7,8,12,13,14],[3,4,7,9,11,13,14],[3,5,6,7,10,11,12],[3,5,6,8,9,10,14]]; G[145]:=Group([(1,8,11)(2,6,7)(3,13,10)(4,5,9)]); # Design 146: autom. group order 3, simple, residual B[146]:=[[1,2,3,4,5,6,7],[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],[1,4,5,7,8,9,11],[1,4,7,10,11,12,13],[1,5,7,9,10,11,14],[1,6,7,8,9,13,14],[1,6,8,10,11,12,14],[2,3,7,8,10,11,13],[2,4,6,7,9,10,12],[2,4,6,7,11,12,14],[2,4,6,8,9,11,13],[2,5,6,9,10,13,14],[2,5,7,8,12,13,14],[2,5,8,9,10,11,12],[3,4,5,6,10,11,14],[3,4,5,8,9,12,14],[3,4,7,8,10,13,14],[3,4,9,11,12,13,14],[3,5,6,7,8,10,12],[3,5,6,7,9,11,13]]; G[146]:=Group([(1,12,13)(2,8,9)(3,5,6)(4,10,11)]); # Design 147: autom. group order 3, simple, residual B[147]:=[[1,2,3,4,5,6,7],[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],[1,2,4,5,9,12,14],[1,3,6,7,11,12,14],[1,4,5,6,8,11,13],[1,4,5,7,10,12,13],[1,4,8,10,11,13,14],[1,5,9,10,11,12,14],[1,6,7,8,9,10,14],[1,6,7,8,9,12,13],[2,3,8,10,12,13,14],[2,4,6,7,8,10,12],[2,4,6,9,11,12,13],[2,4,7,9,11,13,14],[2,5,6,7,10,11,14],[2,5,6,8,9,10,11],[2,5,7,8,12,13,14],[3,4,5,6,10,13,14],[3,4,5,7,8,9,14],[3,4,6,8,11,12,14],[3,4,7,9,10,11,12],[3,5,6,9,10,12,13],[3,5,7,8,9,11,13]]; G[147]:=Group([(1,2,3)(4,10,7)(5,8,11)(6,9,13)]); # Design 148: autom. group order 3, simple, residual B[148]:=[[1,2,3,4,5,6,7],[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],[1,2,4,5,10,12,14],[1,3,6,7,11,12,14],[1,4,5,6,9,13,14],[1,4,5,8,11,13,14],[1,4,7,8,9,11,12],[1,5,7,9,10,11,13],[1,6,7,8,10,12,14],[1,6,8,9,10,12,13],[2,3,8,9,12,13,14],[2,4,6,7,8,9,14],[2,4,6,7,11,12,13],[2,4,10,11,12,13,14],[2,5,6,7,8,10,13],[2,5,6,9,10,11,12],[2,5,7,8,9,11,14],[3,4,5,6,8,12,13],[3,4,5,7,9,10,12],[3,4,6,9,10,11,14],[3,4,7,8,10,11,13],[3,5,6,8,10,11,14],[3,5,7,9,12,13,14]]; G[148]:=Group([(1,2,3)(4,9,6)(5,8,11)(7,10,13)]); # Design 149: autom. group order 3, simple, residual B[149]:=[[1,2,3,4,5,6,7],[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],[1,2,4,5,9,12,14],[1,3,6,7,11,12,14],[1,4,5,6,8,11,13],[1,4,5,10,11,13,14],[1,4,7,8,9,10,12],[1,5,7,9,10,13,14],[1,6,7,8,9,12,13],[1,6,8,10,11,12,14],[2,3,8,10,12,13,14],[2,4,6,7,8,13,14],[2,4,6,9,11,12,13],[2,4,7,10,11,12,13],[2,5,6,7,8,10,14],[2,5,6,8,9,10,11],[2,5,7,9,11,12,14],[3,4,5,6,7,10,12],[3,4,5,8,12,13,14],[3,4,6,9,10,11,14],[3,4,7,8,9,11,14],[3,5,6,9,10,12,13],[3,5,7,8,9,11,13]]; G[149]:=Group([(1,2,3)(4,10,7)(5,8,11)(6,9,13)]); # Design 150: autom. group order 3, simple, residual B[150]:=[[1,2,3,4,5,6,7],[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],[1,3,6,10,11,12,14],[1,4,5,6,7,9,14],[1,4,5,8,10,11,14],[1,4,7,8,9,11,12],[1,5,7,9,10,11,13],[1,6,7,8,9,12,13],[1,6,8,10,12,13,14],[2,3,7,8,9,12,14],[2,4,6,7,10,11,12],[2,4,6,8,9,10,14],[2,4,7,11,12,13,14],[2,5,6,7,8,10,13],[2,5,6,9,10,11,12],[2,5,8,9,11,13,14],[3,4,5,6,8,12,13],[3,4,5,9,10,12,13],[3,4,6,9,11,13,14],[3,4,7,8,10,11,13],[3,5,6,7,8,11,14],[3,5,7,9,10,12,14]]; G[150]:=Group([(1,2,3)(4,9,6)(5,8,11)(7,10,13)]); # Design 151: autom. group order 3, simple, residual B[151]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,6,7,10,12],[1,4,5,9,10,11,14],[1,4,7,8,9,13,14],[1,5,7,8,9,11,13],[1,6,7,8,11,12,14],[1,6,9,10,11,12,13],[2,3,7,9,11,12,14],[2,4,6,7,8,11,14],[2,4,6,8,9,12,13],[2,4,7,10,11,12,13],[2,5,6,7,9,10,14],[2,5,6,8,9,10,11],[2,5,8,10,12,13,14],[3,4,5,6,8,11,13],[3,4,5,9,11,12,14],[3,4,6,10,11,13,14],[3,4,7,8,9,10,12],[3,5,6,7,9,12,13],[3,5,7,8,10,13,14]]; G[151]:=Group([(1,2,3)(4,7,10)(5,11,8)(6,13,9)]); # Design 152: autom. group order 3, simple B[152]:=[[1,2,3,4,5,6,7],[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],[1,2,4,5,10,12,14],[1,3,6,9,11,12,14],[1,4,5,6,11,13,14],[1,4,5,7,9,12,13],[1,4,7,8,11,12,13],[1,5,7,8,9,10,14],[1,6,7,8,10,13,14],[1,6,8,9,10,11,12],[2,3,7,8,12,13,14],[2,4,6,7,8,11,14],[2,4,6,7,9,10,12],[2,4,9,10,11,13,14],[2,5,6,7,8,9,11],[2,5,6,10,11,12,13],[2,5,8,9,12,13,14],[3,4,5,6,8,9,13],[3,4,5,8,10,11,14],[3,4,6,8,10,12,13],[3,4,7,9,11,12,14],[3,5,6,7,10,12,14],[3,5,7,9,10,11,13]]; G[152]:=Group([(1,12,14)(2,10,4)(3,6,11)(7,13,8)]); # Design 153: autom. group order 3, simple, residual B[153]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,12,14],[1,4,5,6,9,11,14],[1,4,5,7,8,12,14],[1,4,7,10,11,12,13],[1,5,7,8,9,10,11],[1,6,7,8,10,13,14],[1,6,8,9,11,12,13],[2,3,7,8,10,11,14],[2,4,6,7,8,12,13],[2,4,6,7,9,10,11],[2,4,8,9,11,12,14],[2,5,6,7,9,12,14],[2,5,6,8,9,10,13],[2,5,10,11,12,13,14],[3,4,5,6,8,11,13],[3,4,5,9,10,12,13],[3,4,6,8,10,12,14],[3,4,7,9,11,13,14],[3,5,6,7,10,11,12],[3,5,7,8,9,13,14]]; G[153]:=Group([(1,8,11)(2,6,7)(3,13,10)(5,12,9)]); # Design 154: autom. group order 3, simple, residual B[154]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,6,8,9,14],[1,4,5,7,11,12,14],[1,4,7,10,11,12,13],[1,5,7,8,9,10,11],[1,6,7,8,9,11,13],[1,6,9,10,12,13,14],[2,3,7,9,10,11,14],[2,4,6,7,8,10,12],[2,4,6,8,11,12,13],[2,4,7,8,9,13,14],[2,5,6,7,9,12,14],[2,5,6,9,10,11,12],[2,5,8,10,11,13,14],[3,4,5,6,9,11,13],[3,4,5,9,10,12,13],[3,4,6,7,10,11,14],[3,4,8,9,11,12,14],[3,5,6,7,8,10,13],[3,5,7,8,12,13,14]]; G[154]:=Group([(1,2,3)(4,9,8)(5,7,12)(6,13,11)]); # Design 155: autom. group order 3, simple, residual B[155]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,12,14],[1,4,5,6,11,12,14],[1,4,5,7,8,9,14],[1,4,7,9,11,12,13],[1,5,8,9,10,11,13],[1,6,7,8,10,11,12],[1,6,7,8,10,13,14],[2,3,7,8,10,11,14],[2,4,6,7,8,12,13],[2,4,6,7,9,10,11],[2,4,8,9,11,12,14],[2,5,6,8,11,13,14],[2,5,6,9,10,12,13],[2,5,7,9,10,12,14],[3,4,5,6,8,10,12],[3,4,5,7,10,11,13],[3,4,6,8,9,13,14],[3,4,10,11,12,13,14],[3,5,6,7,9,11,14],[3,5,7,8,9,12,13]]; G[155]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 156: autom. group order 3, simple B[156]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,6,8,11,13],[1,4,5,7,9,10,12],[1,4,7,8,9,11,14],[1,5,9,10,11,12,14],[1,6,7,8,9,12,13],[1,6,7,10,11,13,14],[2,3,7,9,11,12,14],[2,4,6,7,10,11,12],[2,4,6,8,11,12,14],[2,4,8,9,10,13,14],[2,5,6,7,8,10,14],[2,5,6,9,10,12,13],[2,5,7,8,9,11,13],[3,4,5,6,7,9,14],[3,4,5,10,11,13,14],[3,4,6,9,11,12,13],[3,4,7,8,10,12,13],[3,5,6,8,9,10,11],[3,5,7,8,12,13,14]]; G[156]:=Group([(1,2,3)(4,7,10)(5,11,8)(6,13,9)]); # Design 157: autom. group order 3, simple B[157]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,6,8,9,11],[1,4,5,7,9,10,12],[1,4,7,8,11,13,14],[1,5,10,11,12,13,14],[1,6,7,8,9,12,13],[1,6,7,9,10,11,14],[2,3,7,9,11,12,14],[2,4,6,7,10,11,12],[2,4,6,8,10,13,14],[2,4,8,9,11,12,14],[2,5,6,7,8,11,13],[2,5,6,9,10,12,13],[2,5,7,8,9,10,14],[3,4,5,6,10,11,14],[3,4,5,7,9,13,14],[3,4,6,9,11,12,13],[3,4,7,8,10,12,13],[3,5,6,7,8,12,14],[3,5,8,9,10,11,13]]; G[157]:=Group([(1,2,3)(4,7,10)(5,11,8)(6,13,9)]); # Design 158: autom. group order 3, simple, residual B[158]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,12,14],[1,4,5,6,10,11,12],[1,4,5,7,8,9,13],[1,4,7,9,10,11,14],[1,5,8,9,11,12,14],[1,6,7,8,10,12,13],[1,6,7,8,11,13,14],[2,3,7,8,10,11,14],[2,4,6,8,10,12,14],[2,4,6,9,11,13,14],[2,4,7,8,9,11,12],[2,5,6,7,9,12,14],[2,5,6,8,10,11,13],[2,5,7,9,10,12,13],[3,4,5,6,7,8,14],[3,4,5,11,12,13,14],[3,4,6,8,9,12,13],[3,4,7,10,11,12,13],[3,5,6,7,9,10,11],[3,5,8,9,10,13,14]]; G[158]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 159: autom. group order 3, simple, residual B[159]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,6,8,11,13],[1,4,5,9,10,11,14],[1,4,7,9,10,11,12],[1,5,7,8,9,12,14],[1,6,7,8,9,12,13],[1,6,7,10,11,13,14],[2,3,7,9,11,12,14],[2,4,6,7,8,10,12],[2,4,6,7,8,11,14],[2,4,8,9,10,13,14],[2,5,6,9,10,12,13],[2,5,6,10,11,12,14],[2,5,7,8,9,11,13],[3,4,5,6,7,9,14],[3,4,5,7,10,12,13],[3,4,6,9,11,12,13],[3,4,8,11,12,13,14],[3,5,6,8,9,10,11],[3,5,7,8,10,13,14]]; G[159]:=Group([(1,2,3)(4,7,10)(5,11,8)(6,13,9)]); # Design 160: autom. group order 3, simple, residual B[160]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,12,14],[1,4,5,7,8,10,11],[1,4,5,7,9,12,14],[1,4,6,8,11,12,13],[1,5,6,10,11,13,14],[1,6,7,8,9,10,12],[1,7,8,9,11,13,14],[2,3,7,8,11,12,14],[2,4,6,7,9,11,14],[2,4,6,7,10,12,13],[2,4,6,8,10,11,14],[2,5,6,8,9,12,14],[2,5,7,8,9,10,13],[2,5,9,10,11,12,13],[3,4,5,6,8,9,13],[3,4,5,9,10,11,14],[3,4,7,9,11,12,13],[3,4,8,10,12,13,14],[3,5,6,7,8,13,14],[3,5,6,7,10,11,12]]; G[160]:=Group([(1,11,13)(2,5,12)(3,10,4)(8,9,14)]); # Design 161: autom. group order 3, simple B[161]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,7,9,10,14],[1,4,5,8,11,13,14],[1,4,6,7,8,11,12],[1,5,6,7,9,10,12],[1,6,7,8,9,11,13],[1,9,10,11,12,13,14],[2,3,7,9,11,12,14],[2,4,6,7,10,11,14],[2,4,6,8,9,12,14],[2,4,6,10,11,12,13],[2,5,6,8,9,10,13],[2,5,7,8,9,11,14],[2,5,7,8,10,12,13],[3,4,5,6,9,11,13],[3,4,5,9,10,11,12],[3,4,7,8,9,12,13],[3,4,7,8,10,13,14],[3,5,6,7,12,13,14],[3,5,6,8,10,11,14]]; G[161]:=Group([(1,2,3)(4,7,10)(5,11,8)(6,13,9)]); # Design 162: autom. group order 3, simple, residual B[162]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,7,12,13,14],[1,4,5,8,9,11,14],[1,4,6,7,9,10,12],[1,5,6,9,10,11,12],[1,6,7,8,9,11,13],[1,7,8,10,11,13,14],[2,3,7,9,10,11,14],[2,4,6,7,8,9,14],[2,4,6,8,11,12,13],[2,4,6,10,11,12,14],[2,5,6,7,8,10,13],[2,5,7,9,11,12,14],[2,5,8,9,10,12,13],[3,4,5,6,9,11,13],[3,4,5,7,8,10,11],[3,4,7,10,11,12,13],[3,4,8,9,12,13,14],[3,5,6,7,8,12,14],[3,5,6,9,10,13,14]]; G[162]:=Group([(1,2,3)(4,9,8)(5,7,12)(6,13,11)]); # Design 163: autom. group order 3, simple, residual B[163]:=[[1,2,3,4,5,6,7],[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],[1,4,5,7,8,11,12],[1,4,6,10,11,12,13],[1,5,6,9,10,11,14],[1,6,7,8,12,13,14],[1,7,8,9,10,11,14],[2,3,7,8,10,11,13],[2,4,6,7,9,10,12],[2,4,6,8,9,11,13],[2,4,7,10,11,12,14],[2,5,6,7,9,13,14],[2,5,6,8,9,11,12],[2,5,8,10,12,13,14],[3,4,5,6,8,10,14],[3,4,5,9,11,12,14],[3,4,6,7,11,13,14],[3,4,8,9,12,13,14],[3,5,6,7,8,10,12],[3,5,7,9,10,11,13]]; G[163]:=Group([(1,2,3)(4,8,9)(5,11,12)(6,14,7)]); # Design 164: autom. group order 3, simple, residual B[164]:=[[1,2,3,4,5,6,7],[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],[1,4,5,7,8,11,12],[1,4,6,10,11,12,13],[1,5,6,8,9,10,14],[1,6,7,9,11,13,14],[1,7,8,10,11,12,14],[2,3,7,8,10,11,13],[2,4,6,7,12,13,14],[2,4,6,8,9,11,13],[2,4,7,9,10,11,14],[2,5,6,7,9,10,12],[2,5,6,8,9,11,12],[2,5,8,10,12,13,14],[3,4,5,6,10,11,14],[3,4,5,9,11,12,14],[3,4,6,7,8,10,12],[3,4,8,9,12,13,14],[3,5,6,7,8,13,14],[3,5,7,9,10,11,13]]; G[164]:=Group([(1,2,3)(4,8,9)(5,11,12)(6,14,7)]); # Design 165: autom. group order 3, simple B[165]:=[[1,2,3,4,5,6,7],[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],[1,4,5,8,9,13,14],[1,4,6,7,10,11,12],[1,5,6,7,8,9,10],[1,6,7,9,11,13,14],[1,8,10,11,12,13,14],[2,3,7,8,10,11,13],[2,4,6,7,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,9,11,13],[2,5,6,8,9,11,12],[2,5,6,8,10,12,14],[2,5,7,9,10,12,13],[3,4,5,6,10,11,13],[3,4,5,9,11,12,14],[3,4,6,8,9,12,13],[3,4,7,8,10,12,14],[3,5,6,7,8,13,14],[3,5,7,9,10,11,14]]; G[165]:=Group([(1,2,3)(4,8,9)(5,11,12)(6,14,7)]); # Design 166: autom. group order 3, simple B[166]:=[[1,2,3,4,5,6,7],[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],[1,4,5,8,9,13,14],[1,4,6,7,9,10,11],[1,5,6,7,8,10,12],[1,6,7,9,11,13,14],[1,8,10,11,12,13,14],[2,3,7,8,10,11,13],[2,4,6,7,12,13,14],[2,4,6,8,10,12,14],[2,4,7,8,9,11,13],[2,5,6,8,9,11,12],[2,5,6,9,10,11,14],[2,5,7,9,10,12,13],[3,4,5,6,10,11,13],[3,4,5,9,11,12,14],[3,4,6,8,9,12,13],[3,4,7,10,11,12,14],[3,5,6,7,8,13,14],[3,5,7,8,9,10,14]]; G[166]:=Group([(1,2,3)(4,8,9)(5,11,12)(6,14,7)]); # Design 167: autom. group order 3, simple, residual B[167]:=[[1,2,3,4,5,6,7],[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],[1,4,5,8,9,13,14],[1,4,6,7,8,10,12],[1,5,6,7,9,10,11],[1,6,7,9,11,13,14],[1,8,10,11,12,13,14],[2,3,7,8,10,11,13],[2,4,6,7,12,13,14],[2,4,6,10,11,12,14],[2,4,7,8,9,11,13],[2,5,6,8,9,10,14],[2,5,6,8,9,11,12],[2,5,7,9,10,12,13],[3,4,5,6,10,11,13],[3,4,5,9,11,12,14],[3,4,6,8,9,12,13],[3,4,7,9,10,11,14],[3,5,6,7,8,13,14],[3,5,7,8,10,12,14]]; G[167]:=Group([(1,2,3)(4,8,9)(5,11,12)(6,14,7)]); # Design 168: autom. group order 3, simple, residual B[168]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,12,14],[1,4,5,7,8,9,13],[1,4,5,9,11,12,14],[1,4,6,7,11,12,14],[1,5,6,7,8,10,11],[1,6,7,8,10,12,13],[1,8,9,10,11,13,14],[2,3,7,8,10,11,14],[2,4,6,7,9,10,14],[2,4,6,8,11,13,14],[2,4,7,8,9,11,12],[2,5,6,8,12,13,14],[2,5,6,9,10,11,12],[2,5,7,9,10,12,13],[3,4,5,6,10,11,13],[3,4,5,8,10,12,14],[3,4,6,8,9,12,13],[3,4,7,10,11,12,13],[3,5,6,7,8,9,14],[3,5,7,9,11,13,14]]; G[168]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 169: autom. group order 3, simple, residual B[169]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,7,9,10,12],[1,4,5,8,9,11,13],[1,4,6,7,8,11,14],[1,5,6,10,11,12,14],[1,6,7,8,9,12,13],[1,7,9,10,11,13,14],[2,3,7,9,11,12,14],[2,4,6,7,10,11,12],[2,4,6,8,9,10,14],[2,4,8,11,12,13,14],[2,5,6,7,8,9,11],[2,5,6,9,10,12,13],[2,5,7,8,10,13,14],[3,4,5,6,7,13,14],[3,4,5,9,10,11,14],[3,4,6,9,11,12,13],[3,4,7,8,10,12,13],[3,5,6,8,10,11,13],[3,5,7,8,9,12,14]]; G[169]:=Group([(1,2,3)(4,7,10)(5,11,8)(6,13,9)]); # Design 170: autom. group order 3, simple, residual B[170]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,12,14],[1,4,5,7,8,9,14],[1,4,5,9,10,11,12],[1,4,6,7,8,12,13],[1,5,6,8,11,13,14],[1,6,7,8,10,11,12],[1,7,9,10,11,13,14],[2,3,7,8,10,11,14],[2,4,6,7,10,12,14],[2,4,6,8,10,11,13],[2,4,8,9,11,12,14],[2,5,6,7,9,11,14],[2,5,6,9,10,12,13],[2,5,7,8,9,12,13],[3,4,5,6,11,12,14],[3,4,5,7,10,11,13],[3,4,6,8,9,13,14],[3,4,7,9,11,12,13],[3,5,6,7,8,9,10],[3,5,8,10,12,13,14]]; G[170]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 171: autom. group order 3, simple B[171]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,7,11,12,14],[1,4,5,8,9,11,14],[1,4,6,7,10,12,13],[1,5,7,8,9,10,13],[1,6,7,8,9,11,13],[1,6,9,10,11,12,14],[2,3,7,9,10,11,14],[2,4,6,7,8,9,14],[2,4,6,8,11,12,13],[2,4,7,8,10,11,12],[2,5,6,7,9,12,14],[2,5,6,8,10,13,14],[2,5,9,10,11,12,13],[3,4,5,6,9,10,12],[3,4,5,6,9,11,13],[3,4,7,10,11,13,14],[3,4,8,9,12,13,14],[3,5,6,7,8,10,11],[3,5,7,8,12,13,14]]; G[171]:=Group([(1,2,3)(4,9,8)(5,7,12)(6,13,11)]); # Design 172: autom. group order 3, simple B[172]:=[[1,2,3,4,5,6,7],[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],[1,2,4,5,10,12,14],[1,3,8,9,12,13,14],[1,4,5,6,7,9,14],[1,4,5,9,11,12,13],[1,4,6,7,8,12,13],[1,5,6,8,10,11,14],[1,6,7,8,10,11,13],[1,7,9,10,11,12,14],[2,3,6,7,11,12,14],[2,4,6,8,10,11,12],[2,4,6,9,11,13,14],[2,4,7,8,12,13,14],[2,5,6,9,10,12,13],[2,5,7,8,9,10,13],[2,5,7,8,9,11,14],[3,4,5,7,10,11,13],[3,4,5,8,11,13,14],[3,4,6,8,9,10,14],[3,4,7,9,10,11,12],[3,5,6,7,8,9,12],[3,5,6,10,12,13,14]]; G[172]:=Group([(1,2,3)(4,6,9)(5,11,8)(7,13,10)]); # Design 173: autom. group order 3, simple, residual B[173]:=[[1,2,3,4,5,6,7],[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],[1,2,4,5,10,12,14],[1,3,8,9,12,13,14],[1,4,5,6,9,12,13],[1,4,5,7,9,11,14],[1,4,6,7,8,13,14],[1,5,6,7,8,10,11],[1,6,8,10,11,12,14],[1,7,9,10,11,12,13],[2,3,6,7,11,12,14],[2,4,6,8,11,13,14],[2,4,6,9,10,11,12],[2,4,7,8,10,12,13],[2,5,6,9,10,13,14],[2,5,7,8,9,11,13],[2,5,7,8,9,12,14],[3,4,5,8,10,11,13],[3,4,5,11,12,13,14],[3,4,6,7,8,9,12],[3,4,7,9,10,11,14],[3,5,6,7,10,12,13],[3,5,6,8,9,10,14]]; G[173]:=Group([(1,2,3)(4,6,9)(5,11,8)(7,13,10)]); # Design 174: autom. group order 3, simple, residual B[174]:=[[1,2,3,4,5,6,7],[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],[1,2,4,5,9,12,14],[1,3,8,10,12,13,14],[1,4,5,6,8,11,13],[1,4,5,7,10,12,13],[1,4,6,7,8,11,14],[1,5,6,7,9,10,14],[1,6,9,10,11,12,13],[1,7,8,9,11,12,14],[2,3,6,7,11,12,14],[2,4,6,8,9,12,13],[2,4,6,10,11,13,14],[2,4,7,9,10,11,12],[2,5,6,8,10,12,14],[2,5,7,8,9,11,13],[2,5,7,8,10,13,14],[3,4,5,9,10,11,14],[3,4,5,11,12,13,14],[3,4,6,7,8,10,12],[3,4,7,8,9,13,14],[3,5,6,7,9,12,13],[3,5,6,8,9,10,11]]; G[174]:=Group([(1,2,3)(4,7,10)(5,11,8)(6,13,9)]); # Design 175: autom. group order 3, simple, residual B[175]:=[[1,2,3,4,5,6,7],[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],[1,2,4,5,10,11,14],[1,3,8,10,12,13,14],[1,4,5,6,8,9,13],[1,4,5,7,10,12,13],[1,4,6,7,9,12,14],[1,5,6,9,11,12,14],[1,6,7,8,10,11,13],[1,7,8,9,10,11,14],[2,3,6,7,9,10,14],[2,4,6,8,10,12,14],[2,4,6,10,11,12,13],[2,4,7,8,9,11,13],[2,5,6,7,8,13,14],[2,5,7,9,10,11,12],[2,5,8,9,12,13,14],[3,4,5,7,8,11,14],[3,4,5,9,10,13,14],[3,4,6,8,9,11,12],[3,4,7,11,12,13,14],[3,5,6,7,8,10,12],[3,5,6,9,10,11,13]]; G[175]:=Group([(1,2,3)(4,9,8)(5,7,12)(6,13,11)]); # Design 176: autom. group order 3, simple B[176]:=[[1,2,3,4,5,6,7],[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],[1,3,8,10,11,13,14],[1,4,5,6,7,10,11],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,5,7,8,9,10,14],[1,6,7,8,10,12,13],[1,6,7,9,11,12,14],[2,3,6,7,9,10,14],[2,4,6,8,10,13,14],[2,4,7,8,9,11,12],[2,4,7,10,11,12,13],[2,5,6,8,9,12,14],[2,5,6,9,10,11,13],[2,5,7,8,11,13,14],[3,4,5,6,12,13,14],[3,4,5,7,8,9,13],[3,4,6,7,8,11,14],[3,4,9,10,11,12,14],[3,5,6,8,10,11,12],[3,5,7,9,10,12,13]]; G[176]:=Group([(1,2,3)(4,9,8)(5,6,11)(7,13,12)]); # Design 177: autom. group order 3, simple, residual B[177]:=[[1,2,3,4,5,6,7],[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],[1,3,8,10,11,13,14],[1,4,5,6,11,13,14],[1,4,5,7,9,10,11],[1,4,6,8,9,13,14],[1,5,7,8,9,12,13],[1,6,7,8,10,12,14],[1,6,7,9,10,11,12],[2,3,6,7,9,10,14],[2,4,6,7,8,12,13],[2,4,7,10,11,13,14],[2,4,8,9,11,12,14],[2,5,6,8,9,10,13],[2,5,6,9,11,12,14],[2,5,7,8,10,11,13],[3,4,5,6,10,12,13],[3,4,5,7,8,9,14],[3,4,6,8,10,11,12],[3,4,7,9,11,12,13],[3,5,6,7,8,11,14],[3,5,9,10,12,13,14]]; G[177]:=Group([(1,2,3)(4,9,8)(5,6,11)(7,13,12)]); # Design 178: autom. group order 3, simple B[178]:=[[1,2,3,4,5,6,7],[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],[1,3,7,11,12,13,14],[1,4,5,7,9,10,14],[1,4,6,8,9,11,13],[1,4,7,8,9,11,12],[1,5,6,8,10,11,14],[1,5,7,9,10,12,13],[1,6,8,10,12,13,14],[2,3,8,9,10,12,14],[2,4,5,10,11,12,13],[2,4,6,7,8,12,13],[2,4,7,8,10,13,14],[2,5,6,9,10,11,13],[2,5,7,8,9,11,14],[2,6,7,9,11,12,14],[3,4,5,8,11,13,14],[3,4,5,9,12,13,14],[3,4,6,7,10,11,14],[3,4,6,9,10,11,12],[3,5,6,7,8,9,13],[3,5,6,7,8,10,12]]; G[178]:=Group([(1,2,3)(4,10,7)(5,8,11)(6,9,13)]); # Design 179: autom. group order 3, simple, residual B[179]:=[[1,2,3,4,5,6,7],[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],[1,3,7,9,10,12,13],[1,4,5,7,8,10,14],[1,4,6,10,11,12,14],[1,4,7,8,9,11,13],[1,5,6,8,9,11,12],[1,5,9,10,11,13,14],[1,6,7,8,12,13,14],[2,3,8,10,11,13,14],[2,4,5,9,11,12,14],[2,4,6,8,9,12,13],[2,4,7,10,11,12,13],[2,5,6,7,9,13,14],[2,5,7,8,10,12,14],[2,6,7,8,9,10,11],[3,4,5,7,8,11,12],[3,4,5,8,9,13,14],[3,4,6,7,11,13,14],[3,4,6,9,10,12,14],[3,5,6,7,9,10,11],[3,5,6,8,10,12,13]]; G[179]:=Group([(1,2,3)(4,8,9)(5,11,12)(6,14,7)]); # Design 180: autom. group order 3, simple, residual B[180]:=[[1,2,3,4,5,6,7],[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],[1,3,7,11,12,13,14],[1,4,5,7,9,10,12],[1,4,6,8,10,13,14],[1,4,7,8,9,11,14],[1,5,6,8,10,11,13],[1,5,9,10,11,12,14],[1,6,7,8,9,12,13],[2,3,8,9,10,12,14],[2,4,5,10,11,13,14],[2,4,6,9,11,12,13],[2,4,7,8,10,12,13],[2,5,6,7,8,9,11],[2,5,7,8,12,13,14],[2,6,7,9,10,11,14],[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[180]:=Group([(1,2,3)(4,10,7)(5,8,11)(6,9,13)]); # Design 181: autom. group order 3, simple, residual B[181]:=[[1,2,3,4,5,6,7],[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],[1,3,7,9,10,12,13],[1,4,5,8,9,12,14],[1,4,6,11,12,13,14],[1,4,7,8,10,11,13],[1,5,6,8,9,13,14],[1,5,7,8,10,11,12],[1,6,7,9,10,11,14],[2,3,8,10,11,13,14],[2,4,5,7,8,9,11],[2,4,6,7,10,12,14],[2,4,7,9,11,13,14],[2,5,6,9,10,11,12],[2,5,7,8,12,13,14],[2,6,8,9,10,12,13],[3,4,5,9,10,13,14],[3,4,5,10,11,12,14],[3,4,6,7,8,12,13],[3,4,6,8,9,11,12],[3,5,6,7,8,10,14],[3,5,6,7,9,11,13]]; G[181]:=Group([(1,2,3)(4,8,9)(5,11,12)(6,14,7)]); # Design 182: autom. group order 3, simple B[182]:=[[1,2,3,4,5,6,7],[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],[1,3,7,9,10,12,13],[1,4,5,8,9,12,14],[1,4,6,9,11,13,14],[1,4,7,8,10,11,13],[1,5,6,8,12,13,14],[1,5,7,8,10,11,12],[1,6,7,9,10,11,14],[2,3,8,10,11,13,14],[2,4,5,7,8,9,11],[2,4,6,7,10,12,14],[2,4,7,8,12,13,14],[2,5,6,9,10,11,12],[2,5,7,9,11,13,14],[2,6,8,9,10,12,13],[3,4,5,9,10,13,14],[3,4,5,10,11,12,14],[3,4,6,7,11,12,13],[3,4,6,8,9,11,12],[3,5,6,7,8,9,13],[3,5,6,7,8,10,14]]; G[182]:=Group([(1,2,3)(4,8,9)(5,11,12)(6,14,7)]); # Design 183: autom. group order 3, simple, residual B[183]:=[[1,2,3,4,5,6,7],[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],[1,3,7,11,12,13,14],[1,4,5,8,9,11,13],[1,4,6,8,10,11,14],[1,4,7,9,10,11,12],[1,5,6,9,10,12,13],[1,5,7,8,9,12,14],[1,6,7,8,10,13,14],[2,3,8,9,10,12,14],[2,4,5,7,10,12,13],[2,4,6,7,9,11,14],[2,4,8,11,12,13,14],[2,5,6,8,10,11,13],[2,5,7,9,10,11,14],[2,6,7,8,9,12,13],[3,4,5,7,8,13,14],[3,4,5,9,10,13,14],[3,4,6,7,8,10,12],[3,4,6,9,11,12,13],[3,5,6,7,8,9,11],[3,5,6,10,11,12,14]]; G[183]:=Group([(1,2,3)(4,10,7)(5,8,11)(6,9,13)]); # Design 184: autom. group order 3, simple, residual B[184]:=[[1,2,3,4,5,6,7],[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],[1,5,7,9,11,12,13],[1,6,7,8,9,10,13],[2,3,7,10,12,13,14],[2,4,5,9,10,11,12],[2,4,6,8,10,11,13],[2,4,7,9,11,13,14],[2,5,6,8,9,12,13],[2,5,7,8,9,10,14],[2,6,7,8,11,12,14],[3,4,5,7,8,12,13],[3,4,5,8,9,13,14],[3,4,6,7,9,10,12],[3,4,6,9,11,12,14],[3,5,6,7,10,11,13],[3,5,6,8,10,11,14]]; G[184]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 185: autom. group order 3, simple, residual B[185]:=[[1,2,3,4,5,6,7],[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],[1,5,7,9,10,11,12],[1,6,7,8,9,12,13],[2,3,7,10,12,13,14],[2,4,5,9,10,11,13],[2,4,6,8,11,12,13],[2,4,7,9,11,12,14],[2,5,6,8,9,10,12],[2,5,7,8,9,13,14],[2,6,7,8,10,11,14],[3,4,5,7,8,10,13],[3,4,5,8,9,12,14],[3,4,6,7,9,12,13],[3,4,6,9,10,11,14],[3,5,6,7,10,11,12],[3,5,6,8,11,13,14]]; G[185]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 186: autom. group order 3, simple, residual B[186]:=[[1,2,3,4,5,6,7],[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],[1,5,7,9,10,11,12],[1,6,7,8,9,12,13],[2,3,7,10,12,13,14],[2,4,5,9,10,11,13],[2,4,6,8,11,12,13],[2,4,7,8,9,13,14],[2,5,6,8,9,10,12],[2,5,7,8,10,11,14],[2,6,7,9,11,12,14],[3,4,5,7,9,12,13],[3,4,5,8,9,12,14],[3,4,6,7,10,11,12],[3,4,6,9,10,11,14],[3,5,6,7,8,10,13],[3,5,6,8,11,13,14]]; G[186]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 187: autom. group order 3, simple, residual B[187]:=[[1,2,3,4,5,6,7],[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],[1,5,7,9,11,12,13],[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],[3,4,5,7,8,12,13],[3,4,5,9,10,11,14],[3,4,6,7,9,10,12],[3,4,6,8,11,13,14],[3,5,6,7,10,11,13],[3,5,6,8,9,12,14]]; G[187]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 188: autom. group order 3, simple, residual B[188]:=[[1,2,3,4,5,6,7],[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],[1,4,6,8,10,13,14],[1,4,7,8,9,12,13],[1,5,6,9,12,13,14],[1,5,7,8,10,11,13],[1,6,7,9,10,11,12],[2,3,7,10,12,13,14],[2,4,5,9,11,12,13],[2,4,6,8,10,11,12],[2,4,7,9,11,13,14],[2,5,6,8,9,10,13],[2,5,7,8,9,10,14],[2,6,7,8,11,12,14],[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[188]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 189: autom. group order 3, simple B[189]:=[[1,2,3,4,5,6,7],[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],[1,4,7,8,9,10,13],[1,5,6,9,10,12,14],[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],[2,4,6,8,10,11,12],[2,4,7,9,11,12,14],[2,5,6,8,9,10,13],[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[189]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 190: autom. group order 3, simple, residual B[190]:=[[1,2,3,4,5,6,7],[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],[2,4,5,9,11,12,13],[2,4,6,8,10,11,12],[2,4,7,9,11,13,14],[2,5,6,8,9,10,13],[2,5,7,8,9,10,14],[2,6,7,8,11,12,14],[3,4,5,7,10,11,12],[3,4,5,8,9,12,14],[3,4,6,7,8,10,13],[3,4,6,9,10,11,14],[3,5,6,7,9,12,13],[3,5,6,8,11,13,14]]; G[190]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 191: autom. group order 3, simple, residual B[191]:=[[1,2,3,4,5,6,7],[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],[1,4,7,8,9,12,13],[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],[2,4,5,9,10,11,13],[2,4,6,8,11,12,13],[2,4,7,9,10,11,14],[2,5,6,8,9,10,12],[2,5,7,8,9,12,14],[2,6,7,8,11,13,14],[3,4,5,7,10,11,12],[3,4,5,8,9,13,14],[3,4,6,7,8,10,13],[3,4,6,9,11,12,14],[3,5,6,7,9,12,13],[3,5,6,8,10,11,14]]; G[191]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 192: autom. group order 3, simple, residual B[192]:=[[1,2,3,4,5,6,7],[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],[1,4,6,8,10,13,14],[1,4,7,8,9,12,13],[1,5,6,9,12,13,14],[1,5,7,8,10,11,13],[1,6,7,9,10,11,12],[2,3,7,10,12,13,14],[2,4,5,9,10,11,13],[2,4,6,8,11,12,13],[2,4,7,9,11,13,14],[2,5,6,8,9,10,12],[2,5,7,8,9,10,14],[2,6,7,8,11,12,14],[3,4,5,7,8,12,13],[3,4,5,9,11,12,14],[3,4,6,7,9,10,12],[3,4,6,8,10,11,14],[3,5,6,7,10,11,13],[3,5,6,8,9,13,14]]; G[192]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 193: autom. group order 3, simple, residual B[193]:=[[1,2,3,4,5,6,7],[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],[1,4,6,8,10,13,14],[1,4,7,8,9,12,13],[1,5,6,9,12,13,14],[1,5,7,8,10,11,13],[1,6,7,9,10,11,12],[2,3,7,10,12,13,14],[2,4,5,9,11,12,13],[2,4,6,8,10,11,12],[2,4,7,9,11,13,14],[2,5,6,8,9,10,13],[2,5,7,8,9,10,14],[2,6,7,8,11,12,14],[3,4,5,7,8,12,13],[3,4,5,9,10,11,14],[3,4,6,7,9,10,12],[3,4,6,8,11,13,14],[3,5,6,7,10,11,13],[3,5,6,8,9,12,14]]; G[193]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 194: autom. group order 3, simple, residual B[194]:=[[1,2,3,4,5,6,7],[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],[1,4,7,8,9,10,13],[1,5,6,9,10,12,14],[1,5,7,8,10,11,12],[1,6,7,9,11,12,13],[2,3,7,10,12,13,14],[2,4,5,9,10,11,12],[2,4,6,8,10,11,13],[2,4,7,9,11,12,14],[2,5,6,8,9,12,13],[2,5,7,8,9,13,14],[2,6,7,8,10,11,14],[3,4,5,7,8,12,13],[3,4,5,9,11,13,14],[3,4,6,7,9,10,12],[3,4,6,8,11,12,14],[3,5,6,7,10,11,13],[3,5,6,8,9,10,14]]; G[194]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 195: autom. group order 3, simple, residual B[195]:=[[1,2,3,4,5,6,7],[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],[1,4,7,8,9,10,13],[1,5,6,9,10,12,14],[1,5,7,8,10,11,12],[1,6,7,9,11,12,13],[2,3,7,10,12,13,14],[2,4,5,9,10,11,13],[2,4,6,8,11,12,13],[2,4,7,9,11,12,14],[2,5,6,8,9,10,12],[2,5,7,8,9,13,14],[2,6,7,8,10,11,14],[3,4,5,7,8,12,13],[3,4,5,9,11,12,14],[3,4,6,7,9,10,12],[3,4,6,8,10,11,14],[3,5,6,7,10,11,13],[3,5,6,8,9,13,14]]; G[195]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 196: autom. group order 3, simple, residual B[196]:=[[1,2,3,4,5,6,7],[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],[1,4,7,8,9,10,13],[1,5,6,9,10,12,14],[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],[2,4,6,8,10,11,12],[2,4,7,9,11,12,14],[2,5,6,8,9,10,13],[2,5,7,8,9,13,14],[2,6,7,8,10,11,14],[3,4,5,7,8,12,13],[3,4,5,9,10,11,14],[3,4,6,7,9,10,12],[3,4,6,8,11,13,14],[3,5,6,7,10,11,13],[3,5,6,8,9,12,14]]; G[196]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 197: autom. group order 3, simple, residual B[197]:=[[1,2,3,4,5,6,7],[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],[1,4,7,8,9,10,12],[1,5,6,9,10,12,14],[1,5,7,8,11,12,13],[1,6,7,9,10,11,13],[2,3,7,10,12,13,14],[2,4,5,9,11,12,13],[2,4,6,8,10,11,12],[2,4,7,9,11,12,14],[2,5,6,8,9,10,13],[2,5,7,8,9,13,14],[2,6,7,8,10,11,14],[3,4,5,7,8,10,13],[3,4,5,9,10,11,14],[3,4,6,7,9,12,13],[3,4,6,8,11,13,14],[3,5,6,7,10,11,12],[3,5,6,8,9,12,14]]; G[197]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 198: autom. group order 3, simple, residual B[198]:=[[1,2,3,4,5,6,7],[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],[1,4,7,8,9,12,13],[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],[2,4,5,9,10,11,13],[2,4,6,8,11,12,13],[2,4,7,9,10,11,14],[2,5,6,8,9,10,12],[2,5,7,8,9,12,14],[2,6,7,8,11,13,14],[3,4,5,7,8,10,13],[3,4,5,9,11,12,14],[3,4,6,7,9,12,13],[3,4,6,8,10,11,14],[3,5,6,7,10,11,12],[3,5,6,8,9,13,14]]; G[198]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 199: autom. group order 3, simple, residual B[199]:=[[1,2,3,4,5,6,7],[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],[1,4,6,8,10,13,14],[1,4,7,8,9,10,12],[1,5,6,9,12,13,14],[1,5,7,8,11,12,13],[1,6,7,9,10,11,13],[2,3,7,10,12,13,14],[2,4,5,9,10,11,13],[2,4,6,8,11,12,13],[2,4,7,8,11,13,14],[2,5,6,8,9,10,12],[2,5,7,9,10,11,14],[2,6,7,8,9,12,14],[3,4,5,7,9,12,13],[3,4,5,8,9,13,14],[3,4,6,7,10,11,12],[3,4,6,9,11,12,14],[3,5,6,7,8,10,13],[3,5,6,8,10,11,14]]; G[199]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 200: autom. group order 3, simple, residual B[200]:=[[1,2,3,4,5,6,7],[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],[1,4,6,8,10,13,14],[1,4,7,8,9,12,13],[1,5,6,9,12,13,14],[1,5,7,8,10,11,13],[1,6,7,9,10,11,12],[2,3,7,10,12,13,14],[2,4,5,9,10,11,13],[2,4,6,8,11,12,13],[2,4,7,8,11,12,14],[2,5,6,8,9,10,12],[2,5,7,9,11,13,14],[2,6,7,8,9,10,14],[3,4,5,7,9,10,12],[3,4,5,8,9,13,14],[3,4,6,7,10,11,13],[3,4,6,9,11,12,14],[3,5,6,7,8,12,13],[3,5,6,8,10,11,14]]; G[200]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 201: autom. group order 3, simple, residual B[201]:=[[1,2,3,4,5,6,7],[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],[1,4,7,8,9,10,12],[1,5,6,9,10,12,14],[1,5,7,8,11,12,13],[1,6,7,9,10,11,13],[2,3,7,10,12,13,14],[2,4,5,9,10,11,13],[2,4,6,8,11,12,13],[2,4,7,8,10,11,14],[2,5,6,8,9,10,12],[2,5,7,9,11,12,14],[2,6,7,8,9,13,14],[3,4,5,7,9,12,13],[3,4,5,8,9,13,14],[3,4,6,7,10,11,12],[3,4,6,9,11,12,14],[3,5,6,7,8,10,13],[3,5,6,8,10,11,14]]; G[201]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 202: autom. group order 3, simple, residual B[202]:=[[1,2,3,4,5,6,7],[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],[1,4,7,8,9,12,13],[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],[2,4,7,8,11,13,14],[2,5,6,8,9,12,13],[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[202]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 203: autom. group order 3, simple, residual B[203]:=[[1,2,3,4,5,6,7],[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],[1,4,7,8,9,10,12],[1,5,6,9,10,12,14],[1,5,7,8,11,12,13],[1,6,7,9,10,11,13],[2,3,7,10,12,13,14],[2,4,5,9,10,11,12],[2,4,6,8,10,11,13],[2,4,7,8,9,13,14],[2,5,6,8,9,12,13],[2,5,7,8,10,11,14],[2,6,7,9,11,12,14],[3,4,5,7,9,12,13],[3,4,5,9,11,13,14],[3,4,6,7,10,11,12],[3,4,6,8,11,12,14],[3,5,6,7,8,10,13],[3,5,6,8,9,10,14]]; G[203]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 204: autom. group order 3, simple, residual B[204]:=[[1,2,3,4,5,6,7],[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],[1,4,7,8,9,10,12],[1,5,6,9,10,12,14],[1,5,7,8,11,12,13],[1,6,7,9,10,11,13],[2,3,7,10,12,13,14],[2,4,5,9,10,11,13],[2,4,6,8,11,12,13],[2,4,7,8,9,13,14],[2,5,6,8,9,10,12],[2,5,7,8,10,11,14],[2,6,7,9,11,12,14],[3,4,5,7,9,12,13],[3,4,5,9,11,12,14],[3,4,6,7,10,11,12],[3,4,6,8,10,11,14],[3,5,6,7,8,10,13],[3,5,6,8,9,13,14]]; G[204]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 205: autom. group order 3, simple, residual B[205]:=[[1,2,3,4,5,6,7],[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],[1,4,7,8,9,10,12],[1,5,6,9,10,12,14],[1,5,7,8,11,12,13],[1,6,7,9,10,11,13],[2,3,7,10,12,13,14],[2,4,5,9,11,12,13],[2,4,6,8,10,11,12],[2,4,7,8,9,13,14],[2,5,6,8,9,10,13],[2,5,7,8,10,11,14],[2,6,7,9,11,12,14],[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[205]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 206: autom. group order 3, simple B[206]:=[[1,2,3,4,5,6,7],[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],[2,4,6,8,11,12,13],[2,4,7,8,9,10,14],[2,5,6,8,9,10,12],[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],[3,4,6,8,10,11,14],[3,5,6,7,8,10,13],[3,5,6,8,9,13,14]]; G[206]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 207: autom. group order 3, simple, residual B[207]:=[[1,2,3,4,5,6,7],[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],[1,4,7,8,9,10,13],[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],[2,4,5,8,9,12,13],[2,4,6,9,10,11,12],[2,4,7,9,11,12,14],[2,5,6,8,10,11,13],[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],[3,4,6,7,8,12,13],[3,4,6,8,11,13,14],[3,5,6,7,9,10,12],[3,5,6,8,9,12,14]]; G[207]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 208: autom. group order 3, simple, residual B[208]:=[[1,2,3,4,5,6,7],[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],[1,4,7,8,9,12,13],[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],[2,4,5,8,9,10,13],[2,4,6,9,11,12,13],[2,4,7,9,10,11,14],[2,5,6,8,10,11,12],[2,5,7,8,9,12,14],[2,6,7,8,11,13,14],[3,4,5,7,10,11,13],[3,4,5,9,11,12,14],[3,4,6,7,8,12,13],[3,4,6,8,10,11,14],[3,5,6,7,9,10,12],[3,5,6,8,9,13,14]]; G[208]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 209: autom. group order 3, simple, residual B[209]:=[[1,2,3,4,5,6,7],[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],[1,4,6,8,10,13,14],[1,4,7,8,9,12,13],[1,5,6,9,12,13,14],[1,5,7,8,10,11,13],[1,6,7,9,10,11,12],[2,3,7,10,12,13,14],[2,4,5,8,9,10,12],[2,4,6,9,10,11,13],[2,4,7,8,11,13,14],[2,5,6,8,11,12,13],[2,5,7,9,10,11,14],[2,6,7,8,9,12,14],[3,4,5,7,9,12,13],[3,4,5,9,11,13,14],[3,4,6,7,10,11,12],[3,4,6,8,11,12,14],[3,5,6,7,8,10,13],[3,5,6,8,9,10,14]]; G[209]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 210: autom. group order 3, simple, residual B[210]:=[[1,2,3,4,5,6,7],[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],[1,4,7,8,9,10,13],[1,5,6,9,10,12,14],[1,5,7,8,10,11,12],[1,6,7,9,11,12,13],[2,3,7,10,12,13,14],[2,4,5,8,9,12,13],[2,4,6,9,10,11,12],[2,4,7,8,11,12,14],[2,5,6,8,10,11,13],[2,5,7,9,11,13,14],[2,6,7,8,9,10,14],[3,4,5,7,9,12,13],[3,4,5,9,10,11,14],[3,4,6,7,10,11,12],[3,4,6,8,11,13,14],[3,5,6,7,8,10,13],[3,5,6,8,9,12,14]]; G[210]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 211: autom. group order 3, simple, residual B[211]:=[[1,2,3,4,5,6,7],[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],[2,4,5,8,9,10,13],[2,4,6,9,11,12,13],[2,4,7,8,11,12,14],[2,5,6,8,10,11,12],[2,5,7,9,11,13,14],[2,6,7,8,9,10,14],[3,4,5,7,9,10,12],[3,4,5,9,11,12,14],[3,4,6,7,10,11,13],[3,4,6,8,10,11,14],[3,5,6,7,8,12,13],[3,5,6,8,9,13,14]]; G[211]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 212: autom. group order 3, simple, residual B[212]:=[[1,2,3,4,5,6,7],[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],[1,4,7,8,9,12,13],[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],[2,4,5,8,9,10,13],[2,4,6,9,11,12,13],[2,4,7,8,11,13,14],[2,5,6,8,10,11,12],[2,5,7,9,10,11,14],[2,6,7,8,9,12,14],[3,4,5,7,9,10,12],[3,4,5,9,11,12,14],[3,4,6,7,10,11,13],[3,4,6,8,10,11,14],[3,5,6,7,8,12,13],[3,5,6,8,9,13,14]]; G[212]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 213: autom. group order 3, simple B[213]:=[[1,2,3,4,5,6,7],[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],[1,4,5,8,10,12,14],[1,4,6,9,10,13,14],[1,4,7,8,11,12,13],[1,5,6,11,12,13,14],[1,5,7,9,10,11,13],[1,6,7,8,9,10,12],[2,3,7,10,12,13,14],[2,4,5,9,10,11,12],[2,4,6,8,10,11,13],[2,4,7,9,11,12,14],[2,5,6,8,9,12,13],[2,5,7,8,9,13,14],[2,6,7,8,10,11,14],[3,4,5,7,10,11,13],[3,4,5,8,9,13,14],[3,4,6,7,8,12,13],[3,4,6,9,11,12,14],[3,5,6,7,9,10,12],[3,5,6,8,10,11,14]]; G[213]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 214: autom. group order 3, simple, residual B[214]:=[[1,2,3,4,5,6,7],[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],[1,5,7,9,10,11,12],[1,6,7,8,9,12,13],[2,3,7,10,12,13,14],[2,4,5,9,11,12,13],[2,4,6,8,10,11,12],[2,4,7,9,11,12,14],[2,5,6,8,9,10,13],[2,5,7,8,9,13,14],[2,6,7,8,10,11,14],[3,4,5,7,10,11,13],[3,4,5,8,9,10,14],[3,4,6,7,8,12,13],[3,4,6,9,11,13,14],[3,5,6,7,9,10,12],[3,5,6,8,11,12,14]]; G[214]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 215: autom. group order 3, simple, residual B[215]:=[[1,2,3,4,5,6,7],[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],[1,4,7,8,10,11,12],[1,5,6,10,11,13,14],[1,5,7,9,11,12,13],[1,6,7,8,9,10,13],[2,3,7,10,12,13,14],[2,4,5,9,10,11,12],[2,4,6,8,10,11,13],[2,4,7,9,11,13,14],[2,5,6,8,9,12,13],[2,5,7,8,9,10,14],[2,6,7,8,11,12,14],[3,4,5,7,10,11,13],[3,4,5,8,9,13,14],[3,4,6,7,8,12,13],[3,4,6,9,11,12,14],[3,5,6,7,9,10,12],[3,5,6,8,10,11,14]]; G[215]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 216: autom. group order 3, simple, residual B[216]:=[[1,2,3,4,5,6,7],[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],[1,4,6,9,12,13,14],[1,4,7,8,10,11,13],[1,5,6,10,11,12,14],[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],[2,4,6,8,10,11,12],[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],[3,4,5,7,8,12,13],[3,4,5,9,11,13,14],[3,4,6,7,9,10,12],[3,4,6,8,11,12,14],[3,5,6,7,10,11,13],[3,5,6,8,9,10,14]]; G[216]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 217: autom. group order 3, simple, residual B[217]:=[[1,2,3,4,5,6,7],[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],[1,4,6,9,12,13,14],[1,4,7,8,10,11,12],[1,5,6,10,11,12,14],[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],[2,4,6,8,11,12,13],[2,4,7,9,11,12,14],[2,5,6,8,9,10,12],[2,5,7,8,9,13,14],[2,6,7,8,10,11,14],[3,4,5,7,8,12,13],[3,4,5,9,10,11,14],[3,4,6,7,9,10,12],[3,4,6,8,11,13,14],[3,5,6,7,10,11,13],[3,5,6,8,9,12,14]]; G[217]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 218: autom. group order 3, simple, residual B[218]:=[[1,2,3,4,5,6,7],[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],[1,4,6,9,12,13,14],[1,4,7,8,11,12,13],[1,5,6,10,11,12,14],[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],[2,4,7,9,11,13,14],[2,5,6,8,9,12,13],[2,5,7,8,9,10,14],[2,6,7,8,11,12,14],[3,4,5,7,8,12,13],[3,4,5,9,11,12,14],[3,4,6,7,9,10,12],[3,4,6,8,10,11,14],[3,5,6,7,10,11,13],[3,5,6,8,9,13,14]]; G[218]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 219: autom. group order 3, simple, residual B[219]:=[[1,2,3,4,5,6,7],[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],[1,4,7,8,10,11,12],[1,5,6,10,11,13,14],[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],[2,4,6,8,11,12,13],[2,4,7,9,11,12,14],[2,5,6,8,9,10,12],[2,5,7,8,9,13,14],[2,6,7,8,10,11,14],[3,4,5,7,8,10,13],[3,4,5,9,10,11,14],[3,4,6,7,9,12,13],[3,4,6,8,11,13,14],[3,5,6,7,10,11,12],[3,5,6,8,9,12,14]]; G[219]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 220: autom. group order 3, simple, residual B[220]:=[[1,2,3,4,5,6,7],[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],[1,5,7,9,10,11,13],[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],[2,4,7,9,11,13,14],[2,5,6,8,9,12,13],[2,5,7,8,9,10,14],[2,6,7,8,11,12,14],[3,4,5,7,8,10,13],[3,4,5,9,11,12,14],[3,4,6,7,9,12,13],[3,4,6,8,10,11,14],[3,5,6,7,10,11,12],[3,5,6,8,9,13,14]]; G[220]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 221: autom. group order 3, simple B[221]:=[[1,2,3,4,5,6,7],[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],[1,4,5,8,10,12,14],[1,4,6,9,10,13,14],[1,4,7,8,11,12,13],[1,5,6,11,12,13,14],[1,5,7,9,10,11,13],[1,6,7,8,9,10,12],[2,3,7,10,12,13,14],[2,4,5,9,10,11,12],[2,4,6,8,10,11,13],[2,4,7,8,11,13,14],[2,5,6,8,9,12,13],[2,5,7,9,10,11,14],[2,6,7,8,9,12,14],[3,4,5,7,9,12,13],[3,4,5,8,9,13,14],[3,4,6,7,10,11,12],[3,4,6,9,11,12,14],[3,5,6,7,8,10,13],[3,5,6,8,10,11,14]]; G[221]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 222: autom. group order 3, simple, residual B[222]:=[[1,2,3,4,5,6,7],[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],[1,4,6,9,12,13,14],[1,4,7,8,10,11,13],[1,5,6,10,11,12,14],[1,5,7,9,10,11,12],[1,6,7,8,9,12,13],[2,3,7,10,12,13,14],[2,4,5,9,10,11,13],[2,4,6,8,11,12,13],[2,4,7,8,11,12,14],[2,5,6,8,9,10,12],[2,5,7,9,11,13,14],[2,6,7,8,9,10,14],[3,4,5,7,9,12,13],[3,4,5,8,9,12,14],[3,4,6,7,10,11,12],[3,4,6,9,10,11,14],[3,5,6,7,8,10,13],[3,5,6,8,11,13,14]]; G[222]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 223: autom. group order 3, simple, residual B[223]:=[[1,2,3,4,5,6,7],[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],[1,4,6,9,12,13,14],[1,4,7,8,10,11,12],[1,5,6,10,11,12,14],[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],[2,4,6,8,11,12,13],[2,4,7,8,11,13,14],[2,5,6,8,9,10,12],[2,5,7,9,10,11,14],[2,6,7,8,9,12,14],[3,4,5,7,9,12,13],[3,4,5,8,9,12,14],[3,4,6,7,10,11,12],[3,4,6,9,10,11,14],[3,5,6,7,8,10,13],[3,5,6,8,11,13,14]]; G[223]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 224: autom. group order 3, simple, residual B[224]:=[[1,2,3,4,5,6,7],[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],[1,4,6,9,12,13,14],[1,4,7,8,11,12,13],[1,5,6,10,11,12,14],[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],[2,4,7,8,11,12,14],[2,5,6,8,9,12,13],[2,5,7,9,11,13,14],[2,6,7,8,9,10,14],[3,4,5,7,9,10,12],[3,4,5,8,9,13,14],[3,4,6,7,10,11,13],[3,4,6,9,11,12,14],[3,5,6,7,8,12,13],[3,5,6,8,10,11,14]]; G[224]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 225: autom. group order 3, simple, residual B[225]:=[[1,2,3,4,5,6,7],[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],[1,4,6,9,12,13,14],[1,4,7,8,11,12,13],[1,5,6,10,11,12,14],[1,5,7,9,10,11,13],[1,6,7,8,9,10,12],[2,3,7,10,12,13,14],[2,4,5,9,10,11,13],[2,4,6,8,11,12,13],[2,4,7,8,10,11,14],[2,5,6,8,9,10,12],[2,5,7,9,11,12,14],[2,6,7,8,9,13,14],[3,4,5,7,9,12,13],[3,4,5,8,9,12,14],[3,4,6,7,10,11,12],[3,4,6,9,10,11,14],[3,5,6,7,8,10,13],[3,5,6,8,11,13,14]]; G[225]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 226: autom. group order 3, simple, residual B[226]:=[[1,2,3,4,5,6,7],[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],[1,4,6,9,12,13,14],[1,4,7,8,10,11,13],[1,5,6,10,11,12,14],[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],[2,4,6,8,10,11,12],[2,4,7,8,9,12,14],[2,5,6,8,9,10,13],[2,5,7,8,11,13,14],[2,6,7,9,10,11,14],[3,4,5,7,9,10,12],[3,4,5,9,11,13,14],[3,4,6,7,10,11,13],[3,4,6,8,11,12,14],[3,5,6,7,8,12,13],[3,5,6,8,9,10,14]]; G[226]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 227: autom. group order 3, simple, residual B[227]:=[[1,2,3,4,5,6,7],[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],[1,4,6,9,12,13,14],[1,4,7,8,10,11,12],[1,5,6,10,11,12,14],[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],[2,4,6,8,11,12,13],[2,4,7,8,9,12,14],[2,5,6,8,9,10,12],[2,5,7,8,11,13,14],[2,6,7,9,10,11,14],[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[227]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 228: autom. group order 3, simple, residual B[228]:=[[1,2,3,4,5,6,7],[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],[1,4,6,9,12,13,14],[1,4,7,8,11,12,13],[1,5,6,10,11,12,14],[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],[2,4,7,8,9,12,14],[2,5,6,8,9,12,13],[2,5,7,8,11,13,14],[2,6,7,9,10,11,14],[3,4,5,7,9,10,13],[3,4,5,9,11,12,14],[3,4,6,7,11,12,13],[3,4,6,8,10,11,14],[3,5,6,7,8,10,12],[3,5,6,8,9,13,14]]; G[228]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 229: autom. group order 3, simple, residual B[229]:=[[1,2,3,4,5,6,7],[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],[1,5,7,9,10,11,12],[1,6,7,8,9,12,13],[2,3,7,10,12,13,14],[2,4,5,9,11,12,13],[2,4,6,8,10,11,12],[2,4,7,8,9,13,14],[2,5,6,8,9,10,13],[2,5,7,8,10,11,14],[2,6,7,9,11,12,14],[3,4,5,7,9,10,12],[3,4,5,9,11,13,14],[3,4,6,7,10,11,13],[3,4,6,8,11,12,14],[3,5,6,7,8,12,13],[3,5,6,8,9,10,14]]; G[229]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 230: autom. group order 3, simple, residual B[230]:=[[1,2,3,4,5,6,7],[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],[1,4,7,8,10,11,12],[1,5,6,10,11,13,14],[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],[2,4,6,8,11,12,13],[2,4,7,8,9,13,14],[2,5,6,8,9,10,12],[2,5,7,8,10,11,14],[2,6,7,9,11,12,14],[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[230]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 231: autom. group order 3, simple, residual B[231]:=[[1,2,3,4,5,6,7],[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],[1,5,7,9,10,11,13],[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],[2,4,7,8,9,13,14],[2,5,6,8,9,12,13],[2,5,7,8,10,11,14],[2,6,7,9,11,12,14],[3,4,5,7,9,10,13],[3,4,5,9,11,12,14],[3,4,6,7,11,12,13],[3,4,6,8,10,11,14],[3,5,6,7,8,10,12],[3,5,6,8,9,13,14]]; G[231]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 232: autom. group order 3, simple B[232]:=[[1,2,3,4,5,6,7],[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],[1,4,5,8,10,12,14],[1,4,6,9,10,13,14],[1,4,7,8,10,11,13],[1,5,6,11,12,13,14],[1,5,7,9,10,11,12],[1,6,7,8,9,12,13],[2,3,7,10,12,13,14],[2,4,5,8,9,12,13],[2,4,6,9,10,11,12],[2,4,7,9,11,12,14],[2,5,6,8,10,11,13],[2,5,7,8,9,13,14],[2,6,7,8,10,11,14],[3,4,5,7,10,11,13],[3,4,5,9,11,13,14],[3,4,6,7,8,12,13],[3,4,6,8,11,12,14],[3,5,6,7,9,10,12],[3,5,6,8,9,10,14]]; G[232]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 233: autom. group order 3, simple, residual B[233]:=[[1,2,3,4,5,6,7],[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],[1,4,6,9,12,13,14],[1,4,7,8,10,11,12],[1,5,6,10,11,12,14],[1,5,7,9,11,12,13],[1,6,7,8,9,10,13],[2,3,7,10,12,13,14],[2,4,5,8,9,12,13],[2,4,6,9,10,11,12],[2,4,7,9,10,11,14],[2,5,6,8,10,11,13],[2,5,7,8,9,12,14],[2,6,7,8,11,13,14],[3,4,5,7,10,11,13],[3,4,5,9,11,13,14],[3,4,6,7,8,12,13],[3,4,6,8,11,12,14],[3,5,6,7,9,10,12],[3,5,6,8,9,10,14]]; G[233]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 234: autom. group order 3, simple, residual B[234]:=[[1,2,3,4,5,6,7],[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],[1,4,6,9,12,13,14],[1,4,7,8,11,12,13],[1,5,6,10,11,12,14],[1,5,7,9,10,11,13],[1,6,7,8,9,10,12],[2,3,7,10,12,13,14],[2,4,5,8,9,12,13],[2,4,6,9,10,11,12],[2,4,7,9,10,11,14],[2,5,6,8,10,11,13],[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],[3,4,6,8,11,12,14],[3,5,6,7,9,12,13],[3,5,6,8,9,10,14]]; G[234]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 235: autom. group order 3, simple, residual B[235]:=[[1,2,3,4,5,6,7],[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],[1,5,7,9,10,11,12],[1,6,7,8,9,12,13],[2,3,7,10,12,13,14],[2,4,5,8,9,12,13],[2,4,6,9,10,11,12],[2,4,7,9,11,13,14],[2,5,6,8,10,11,13],[2,5,7,8,9,10,14],[2,6,7,8,11,12,14],[3,4,5,7,10,11,12],[3,4,5,9,11,13,14],[3,4,6,7,8,10,13],[3,4,6,8,11,12,14],[3,5,6,7,9,12,13],[3,5,6,8,9,10,14]]; G[235]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 236: autom. group order 3, simple, residual B[236]:=[[1,2,3,4,5,6,7],[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],[1,4,7,8,10,11,12],[1,5,6,10,11,13,14],[1,5,7,9,11,12,13],[1,6,7,8,9,10,13],[2,3,7,10,12,13,14],[2,4,5,8,9,10,13],[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],[3,4,6,7,8,12,13],[3,4,6,8,11,13,14],[3,5,6,7,9,10,12],[3,5,6,8,9,12,14]]; G[236]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 237: autom. group order 3, simple B[237]:=[[1,2,3,4,5,6,7],[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],[1,4,5,8,10,12,14],[1,4,6,9,10,13,14],[1,4,7,8,10,11,13],[1,5,6,11,12,13,14],[1,5,7,9,10,11,12],[1,6,7,8,9,12,13],[2,3,7,10,12,13,14],[2,4,5,8,9,12,13],[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],[3,4,5,9,11,13,14],[3,4,6,7,10,11,12],[3,4,6,8,11,12,14],[3,5,6,7,8,10,13],[3,5,6,8,9,10,14]]; G[237]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 238: autom. group order 3, simple, residual B[238]:=[[1,2,3,4,5,6,7],[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],[1,4,6,9,12,13,14],[1,4,7,8,10,11,13],[1,5,6,10,11,12,14],[1,5,7,9,10,11,12],[1,6,7,8,9,12,13],[2,3,7,10,12,13,14],[2,4,5,8,9,12,13],[2,4,6,9,10,11,12],[2,4,7,8,11,12,14],[2,5,6,8,10,11,13],[2,5,7,9,11,13,14],[2,6,7,8,9,10,14],[3,4,5,7,9,10,12],[3,4,5,9,11,13,14],[3,4,6,7,10,11,13],[3,4,6,8,11,12,14],[3,5,6,7,8,12,13],[3,5,6,8,9,10,14]]; G[238]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 239: autom. group order 3, simple, residual B[239]:=[[1,2,3,4,5,6,7],[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],[1,4,6,9,12,13,14],[1,4,7,8,10,11,12],[1,5,6,10,11,12,14],[1,5,7,9,11,12,13],[1,6,7,8,9,10,13],[2,3,7,10,12,13,14],[2,4,5,8,9,12,13],[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],[3,4,5,7,9,10,12],[3,4,5,9,11,13,14],[3,4,6,7,10,11,13],[3,4,6,8,11,12,14],[3,5,6,7,8,12,13],[3,5,6,8,9,10,14]]; G[239]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 240: autom. group order 3, simple, residual B[240]:=[[1,2,3,4,5,6,7],[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],[1,4,6,9,12,13,14],[1,4,7,8,11,12,13],[1,5,6,10,11,12,14],[1,5,7,9,10,11,13],[1,6,7,8,9,10,12],[2,3,7,10,12,13,14],[2,4,5,8,9,10,12],[2,4,6,9,10,11,13],[2,4,7,8,11,13,14],[2,5,6,8,11,12,13],[2,5,7,9,10,11,14],[2,6,7,8,9,12,14],[3,4,5,7,9,12,13],[3,4,5,9,11,12,14],[3,4,6,7,10,11,12],[3,4,6,8,10,11,14],[3,5,6,7,8,10,13],[3,5,6,8,9,13,14]]; G[240]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 241: autom. group order 3, simple, residual B[241]:=[[1,2,3,4,5,6,7],[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],[1,5,7,9,10,11,12],[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],[2,4,7,8,11,12,14],[2,5,6,8,10,11,12],[2,5,7,9,11,13,14],[2,6,7,8,9,10,14],[3,4,5,7,9,12,13],[3,4,5,9,10,11,14],[3,4,6,7,10,11,12],[3,4,6,8,11,13,14],[3,5,6,7,8,10,13],[3,5,6,8,9,12,14]]; G[241]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 242: autom. group order 3, simple, residual B[242]:=[[1,2,3,4,5,6,7],[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],[1,5,7,9,10,11,13],[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],[2,4,7,8,10,11,14],[2,5,6,8,10,11,12],[2,5,7,9,11,12,14],[2,6,7,8,9,13,14],[3,4,5,7,9,12,13],[3,4,5,9,10,11,14],[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[242]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 243: autom. group order 3, simple, residual B[243]:=[[1,2,3,4,5,6,7],[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],[1,4,5,8,10,12,14],[1,4,6,9,10,13,14],[1,4,7,8,11,12,13],[1,5,6,11,12,13,14],[1,5,7,9,10,11,13],[1,6,7,8,9,10,12],[2,3,7,10,12,13,14],[2,4,5,8,10,11,13],[2,4,6,8,9,12,13],[2,4,7,9,11,12,14],[2,5,6,9,10,11,12],[2,5,7,8,9,13,14],[2,6,7,8,10,11,14],[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[243]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 244: autom. group order 3, simple, residual B[244]:=[[1,2,3,4,5,6,7],[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],[1,4,6,9,12,13,14],[1,4,7,8,10,11,13],[1,5,6,10,11,12,14],[1,5,7,9,10,11,12],[1,6,7,8,9,12,13],[2,3,7,10,12,13,14],[2,4,5,8,11,12,13],[2,4,6,8,9,10,12],[2,4,7,9,10,11,14],[2,5,6,9,10,11,13],[2,5,7,8,9,12,14],[2,6,7,8,11,13,14],[3,4,5,7,9,12,13],[3,4,5,9,11,13,14],[3,4,6,7,10,11,12],[3,4,6,8,11,12,14],[3,5,6,7,8,10,13],[3,5,6,8,9,10,14]]; G[244]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 245: autom. group order 3, simple, residual B[245]:=[[1,2,3,4,5,6,7],[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],[1,4,6,9,12,13,14],[1,4,7,8,10,11,13],[1,5,6,10,11,12,14],[1,5,7,9,10,11,12],[1,6,7,8,9,12,13],[2,3,7,10,12,13,14],[2,4,5,8,11,12,13],[2,4,6,8,9,10,12],[2,4,7,9,11,12,14],[2,5,6,9,10,11,13],[2,5,7,8,9,13,14],[2,6,7,8,10,11,14],[3,4,5,7,9,10,12],[3,4,5,9,11,13,14],[3,4,6,7,10,11,13],[3,4,6,8,11,12,14],[3,5,6,7,8,12,13],[3,5,6,8,9,10,14]]; G[245]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 246: autom. group order 3, simple, residual B[246]:=[[1,2,3,4,5,6,7],[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],[1,4,7,8,10,11,12],[1,5,6,10,11,13,14],[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],[2,4,6,8,9,12,13],[2,4,7,9,11,13,14],[2,5,6,9,10,11,12],[2,5,7,8,9,10,14],[2,6,7,8,11,12,14],[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[246]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 247: autom. group order 3, simple, residual B[247]:=[[1,2,3,4,5,6,7],[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],[1,4,7,8,10,11,12],[1,5,6,10,11,13,14],[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],[2,4,6,8,9,12,13],[2,4,7,9,11,12,14],[2,5,6,9,10,11,12],[2,5,7,8,9,13,14],[2,6,7,8,10,11,14],[3,4,5,7,9,10,13],[3,4,5,9,10,11,14],[3,4,6,7,11,12,13],[3,4,6,8,11,13,14],[3,5,6,7,8,10,12],[3,5,6,8,9,12,14]]; G[247]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 248: autom. group order 3, simple B[248]:=[[1,2,3,4,5,6,7],[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],[1,4,5,8,10,12,14],[1,4,6,9,10,13,14],[1,4,7,8,9,12,13],[1,5,6,11,12,13,14],[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],[2,4,7,8,11,13,14],[2,5,6,8,9,12,13],[2,5,7,9,10,11,14],[2,6,7,8,9,12,14],[3,4,5,7,9,12,13],[3,4,5,9,11,13,14],[3,4,6,7,10,11,12],[3,4,6,8,11,12,14],[3,5,6,7,8,10,13],[3,5,6,8,9,10,14]]; G[248]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 249: autom. group order 3, simple B[249]:=[[1,2,3,4,5,6,7],[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],[1,4,5,8,10,12,14],[1,4,6,9,10,13,14],[1,4,7,8,9,12,13],[1,5,6,11,12,13,14],[1,5,7,8,10,11,13],[1,6,7,9,10,11,12],[2,3,7,10,12,13,14],[2,4,5,9,10,11,13],[2,4,6,8,11,12,13],[2,4,7,8,11,13,14],[2,5,6,8,9,10,12],[2,5,7,9,10,11,14],[2,6,7,8,9,12,14],[3,4,5,7,9,12,13],[3,4,5,9,11,12,14],[3,4,6,7,10,11,12],[3,4,6,8,10,11,14],[3,5,6,7,8,10,13],[3,5,6,8,9,13,14]]; G[249]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 250: autom. group order 3, simple B[250]:=[[1,2,3,4,5,6,7],[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],[1,4,5,8,10,12,14],[1,4,6,9,10,13,14],[1,4,7,8,9,12,13],[1,5,6,11,12,13,14],[1,5,7,8,10,11,13],[1,6,7,9,10,11,12],[2,3,7,10,12,13,14],[2,4,5,9,11,12,13],[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],[3,4,6,8,11,13,14],[3,5,6,7,8,10,13],[3,5,6,8,9,12,14]]; G[250]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 251: autom. group order 3, simple, residual B[251]:=[[1,2,3,4,5,6,7],[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],[1,4,6,9,12,13,14],[1,4,7,8,9,10,12],[1,5,6,10,11,12,14],[1,5,7,8,11,12,13],[1,6,7,9,10,11,13],[2,3,7,10,12,13,14],[2,4,5,9,10,11,12],[2,4,6,8,10,11,13],[2,4,7,8,11,13,14],[2,5,6,8,9,12,13],[2,5,7,9,10,11,14],[2,6,7,8,9,12,14],[3,4,5,7,9,12,13],[3,4,5,9,11,13,14],[3,4,6,7,10,11,12],[3,4,6,8,11,12,14],[3,5,6,7,8,10,13],[3,5,6,8,9,10,14]]; G[251]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 252: autom. group order 3, simple, residual B[252]:=[[1,2,3,4,5,6,7],[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],[1,4,6,9,12,13,14],[1,4,7,8,9,10,12],[1,5,6,10,11,12,14],[1,5,7,8,11,12,13],[1,6,7,9,10,11,13],[2,3,7,10,12,13,14],[2,4,5,9,10,11,13],[2,4,6,8,11,12,13],[2,4,7,8,11,13,14],[2,5,6,8,9,10,12],[2,5,7,9,10,11,14],[2,6,7,8,9,12,14],[3,4,5,7,9,12,13],[3,4,5,9,11,12,14],[3,4,6,7,10,11,12],[3,4,6,8,10,11,14],[3,5,6,7,8,10,13],[3,5,6,8,9,13,14]]; G[252]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 253: autom. group order 3, simple, residual B[253]:=[[1,2,3,4,5,6,7],[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],[1,4,6,9,12,13,14],[1,4,7,8,9,10,12],[1,5,6,10,11,12,14],[1,5,7,8,11,12,13],[1,6,7,9,10,11,13],[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],[3,4,6,8,11,13,14],[3,5,6,7,8,10,13],[3,5,6,8,9,12,14]]; G[253]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 254: autom. group order 3, simple, residual B[254]:=[[1,2,3,4,5,6,7],[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],[1,4,6,9,12,13,14],[1,4,7,8,9,12,13],[1,5,6,10,11,12,14],[1,5,7,8,10,11,13],[1,6,7,9,10,11,12],[2,3,7,10,12,13,14],[2,4,5,9,10,11,12],[2,4,6,8,10,11,13],[2,4,7,8,11,12,14],[2,5,6,8,9,12,13],[2,5,7,9,11,13,14],[2,6,7,8,9,10,14],[3,4,5,7,9,10,12],[3,4,5,9,11,13,14],[3,4,6,7,10,11,13],[3,4,6,8,11,12,14],[3,5,6,7,8,12,13],[3,5,6,8,9,10,14]]; G[254]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 255: autom. group order 3, simple, residual B[255]:=[[1,2,3,4,5,6,7],[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],[1,4,6,9,12,13,14],[1,4,7,8,9,12,13],[1,5,6,10,11,12,14],[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],[2,4,6,8,11,12,13],[2,4,7,8,11,12,14],[2,5,6,8,9,10,12],[2,5,7,9,11,13,14],[2,6,7,8,9,10,14],[3,4,5,7,9,10,12],[3,4,5,9,11,12,14],[3,4,6,7,10,11,13],[3,4,6,8,10,11,14],[3,5,6,7,8,12,13],[3,5,6,8,9,13,14]]; G[255]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 256: autom. group order 3, simple, residual B[256]:=[[1,2,3,4,5,6,7],[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],[1,4,6,9,12,13,14],[1,4,7,8,9,12,13],[1,5,6,10,11,12,14],[1,5,7,8,10,11,13],[1,6,7,9,10,11,12],[2,3,7,10,12,13,14],[2,4,5,9,11,12,13],[2,4,6,8,10,11,12],[2,4,7,8,11,12,14],[2,5,6,8,9,10,13],[2,5,7,9,11,13,14],[2,6,7,8,9,10,14],[3,4,5,7,9,10,12],[3,4,5,9,10,11,14],[3,4,6,7,10,11,13],[3,4,6,8,11,13,14],[3,5,6,7,8,12,13],[3,5,6,8,9,12,14]]; G[256]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 257: autom. group order 3, simple, residual B[257]:=[[1,2,3,4,5,6,7],[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],[1,4,7,8,9,10,13],[1,5,6,10,11,13,14],[1,5,7,8,10,11,12],[1,6,7,9,11,12,13],[2,3,7,10,12,13,14],[2,4,5,9,10,11,12],[2,4,6,8,10,11,13],[2,4,7,8,11,13,14],[2,5,6,8,9,12,13],[2,5,7,9,10,11,14],[2,6,7,8,9,12,14],[3,4,5,7,9,12,13],[3,4,5,9,11,13,14],[3,4,6,7,10,11,12],[3,4,6,8,11,12,14],[3,5,6,7,8,10,13],[3,5,6,8,9,10,14]]; G[257]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 258: autom. group order 3, simple, residual B[258]:=[[1,2,3,4,5,6,7],[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],[1,4,7,8,9,10,13],[1,5,6,10,11,13,14],[1,5,7,8,10,11,12],[1,6,7,9,11,12,13],[2,3,7,10,12,13,14],[2,4,5,9,10,11,13],[2,4,6,8,11,12,13],[2,4,7,8,11,13,14],[2,5,6,8,9,10,12],[2,5,7,9,10,11,14],[2,6,7,8,9,12,14],[3,4,5,7,9,12,13],[3,4,5,9,11,12,14],[3,4,6,7,10,11,12],[3,4,6,8,10,11,14],[3,5,6,7,8,10,13],[3,5,6,8,9,13,14]]; G[258]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 259: autom. group order 3, simple, residual B[259]:=[[1,2,3,4,5,6,7],[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],[1,4,7,8,9,12,13],[1,5,6,10,11,13,14],[1,5,7,8,10,11,13],[1,6,7,9,10,11,12],[2,3,7,10,12,13,14],[2,4,5,9,10,11,13],[2,4,6,8,11,12,13],[2,4,7,8,10,11,14],[2,5,6,8,9,10,12],[2,5,7,9,11,12,14],[2,6,7,8,9,13,14],[3,4,5,7,9,10,13],[3,4,5,9,11,12,14],[3,4,6,7,11,12,13],[3,4,6,8,10,11,14],[3,5,6,7,8,10,12],[3,5,6,8,9,13,14]]; G[259]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 260: autom. group order 3, simple, residual B[260]:=[[1,2,3,4,5,6,7],[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],[1,4,7,8,9,12,13],[1,5,6,10,11,13,14],[1,5,7,8,10,11,13],[1,6,7,9,10,11,12],[2,3,7,10,12,13,14],[2,4,5,9,11,12,13],[2,4,6,8,10,11,12],[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],[3,4,5,7,9,10,13],[3,4,5,9,10,11,14],[3,4,6,7,11,12,13],[3,4,6,8,11,13,14],[3,5,6,7,8,10,12],[3,5,6,8,9,12,14]]; G[260]:=Group([(4,5,6)(8,11,9)(10,12,13)]); # Design 261: autom. group order 3, simple, residual B[261]:=[[1,2,3,4,5,6,7],[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],[1,3,6,7,9,10,14],[1,4,5,6,10,11,13],[1,4,6,7,8,11,14],[1,4,6,8,9,12,13],[1,5,7,9,11,12,14],[1,5,8,9,10,13,14],[1,7,8,10,11,12,13],[2,3,8,10,11,13,14],[2,4,5,7,8,9,13],[2,4,6,11,12,13,14],[2,4,7,9,10,11,14],[2,5,6,7,8,10,11],[2,5,6,8,9,12,14],[2,6,7,9,10,12,13],[3,4,5,7,10,12,13],[3,4,5,9,11,13,14],[3,4,6,8,10,12,14],[3,4,7,8,9,11,12],[3,5,6,7,8,13,14],[3,5,6,9,10,11,12]]; G[261]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 262: autom. group order 3, simple, residual B[262]:=[[1,2,3,4,5,6,7],[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],[1,3,6,7,9,10,14],[1,4,5,6,11,13,14],[1,4,6,8,9,12,14],[1,4,6,8,10,11,13],[1,5,7,8,9,12,13],[1,5,7,9,10,11,13],[1,7,8,10,11,12,14],[2,3,8,10,11,13,14],[2,4,5,8,9,13,14],[2,4,6,7,10,11,12],[2,4,7,9,11,12,13],[2,5,6,7,8,9,10],[2,5,6,7,8,11,14],[2,6,9,10,12,13,14],[3,4,5,7,10,13,14],[3,4,5,9,10,11,12],[3,4,6,7,8,12,13],[3,4,7,8,9,11,14],[3,5,6,8,10,12,13],[3,5,6,9,11,12,14]]; G[262]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 263: autom. group order 3, simple, residual B[263]:=[[1,2,3,4,5,6,7],[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],[1,3,6,10,11,12,14],[1,4,5,6,7,9,12],[1,4,6,7,8,11,14],[1,4,6,8,10,13,14],[1,5,7,9,10,12,13],[1,5,8,9,10,11,13],[1,7,8,9,11,12,14],[2,3,7,8,9,12,14],[2,4,5,9,10,11,14],[2,4,6,8,9,10,12],[2,4,7,9,11,13,14],[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[263]:=Group([(1,2,3)(4,9,6)(5,8,11)(7,10,13)]); # Design 264: autom. group order 3, simple, residual B[264]:=[[1,2,3,4,5,6,7],[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],[1,3,6,10,11,12,14],[1,4,5,6,7,9,14],[1,4,6,7,8,11,12],[1,4,6,8,10,12,13],[1,5,7,9,10,11,13],[1,5,8,9,10,11,14],[1,7,8,9,12,13,14],[2,3,7,8,9,12,14],[2,4,5,9,10,11,12],[2,4,6,8,9,10,14],[2,4,7,9,11,12,13],[2,5,6,7,8,10,13],[2,5,6,8,11,13,14],[2,6,7,10,11,12,14],[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[264]:=Group([(1,2,3)(4,9,6)(5,8,11)(7,10,13)]); # Design 265: autom. group order 3, simple, residual B[265]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,12,14],[1,4,5,6,7,10,11],[1,4,6,7,8,9,12],[1,4,6,8,11,13,14],[1,5,7,9,11,12,14],[1,5,8,9,10,13,14],[1,7,8,10,11,12,13],[2,3,7,8,10,11,14],[2,4,5,8,9,12,13],[2,4,6,11,12,13,14],[2,4,7,9,10,11,14],[2,5,6,7,8,9,14],[2,5,6,8,10,11,12],[2,6,7,9,10,12,13],[3,4,5,7,10,12,13],[3,4,5,9,11,12,14],[3,4,6,8,10,12,14],[3,4,7,8,9,11,13],[3,5,6,7,8,13,14],[3,5,6,9,10,11,13]]; G[265]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 266: autom. group order 3, simple, residual B[266]:=[[1,2,3,4,5,6,7],[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],[1,3,6,10,11,12,14],[1,4,5,6,7,9,14],[1,4,6,7,8,11,12],[1,4,6,8,10,12,13],[1,5,7,8,9,11,14],[1,5,9,10,12,13,14],[1,7,8,9,10,11,13],[2,3,7,8,9,12,14],[2,4,5,9,10,11,12],[2,4,6,8,9,10,14],[2,4,7,9,11,12,13],[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[266]:=Group([(1,2,3)(4,9,6)(5,8,11)(7,10,13)]); # Design 267: autom. group order 3, simple, residual B[267]:=[[1,2,3,4,5,6,7],[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],[1,3,6,10,11,12,14],[1,4,5,6,7,9,12],[1,4,6,7,8,11,14],[1,4,6,8,10,13,14],[1,5,7,8,9,11,13],[1,5,9,10,11,12,14],[1,7,8,9,10,12,13],[2,3,7,8,9,12,14],[2,4,5,9,10,11,14],[2,4,6,8,9,10,12],[2,4,7,9,11,13,14],[2,5,6,7,8,10,11],[2,5,6,8,12,13,14],[2,6,7,10,11,12,13],[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[267]:=Group([(1,2,3)(4,9,6)(5,8,11)(7,10,13)]); # Design 268: autom. group order 3, simple, residual B[268]:=[[1,2,3,4,5,6,7],[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],[1,3,6,10,11,12,14],[1,4,5,6,7,9,12],[1,4,6,7,8,11,14],[1,4,6,8,10,13,14],[1,5,7,8,9,10,11],[1,5,8,9,12,13,14],[1,7,9,10,11,12,13],[2,3,7,8,9,12,14],[2,4,5,9,10,11,14],[2,4,6,8,9,10,12],[2,4,7,9,11,13,14],[2,5,6,7,10,12,13],[2,5,6,8,10,11,13],[2,6,7,8,11,12,14],[3,4,5,7,8,11,13],[3,4,5,10,11,12,14],[3,4,6,9,11,12,13],[3,4,7,8,10,12,13],[3,5,6,7,9,10,14],[3,5,6,8,9,13,14]]; G[268]:=Group([(1,2,3)(4,9,6)(5,8,11)(7,10,13)]); # Design 269: autom. group order 3, simple, residual B[269]:=[[1,2,3,4,5,6,7],[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],[1,3,6,10,11,12,14],[1,4,5,6,7,9,14],[1,4,6,7,8,11,12],[1,4,6,8,10,12,13],[1,5,7,8,9,10,13],[1,5,8,9,11,13,14],[1,7,9,10,11,12,14],[2,3,7,8,9,12,14],[2,4,5,9,10,11,12],[2,4,6,8,9,10,14],[2,4,7,9,11,12,13],[2,5,6,7,8,11,14],[2,5,6,10,12,13,14],[2,6,7,8,10,11,13],[3,4,5,7,10,11,13],[3,4,5,8,10,11,14],[3,4,6,9,11,13,14],[3,4,7,8,12,13,14],[3,5,6,7,9,10,12],[3,5,6,8,9,12,13]]; G[269]:=Group([(1,2,3)(4,9,6)(5,8,11)(7,10,13)]); # Design 270: autom. group order 3, simple, residual B[270]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,6,7,10,14],[1,4,6,7,9,11,12],[1,4,6,8,9,11,13],[1,5,7,9,10,11,12],[1,5,8,10,11,13,14],[1,7,8,9,12,13,14],[2,3,7,9,11,12,14],[2,4,5,8,9,11,14],[2,4,6,8,10,11,12],[2,4,7,10,11,13,14],[2,5,6,7,8,9,13],[2,5,6,9,10,12,14],[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],[3,4,7,8,9,10,14],[3,5,6,7,8,11,14],[3,5,6,9,10,11,13]]; G[270]:=Group([(1,2,3)(4,7,10)(5,11,8)(6,13,9)]); # Design 271: autom. group order 3, simple, residual B[271]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,12,14],[1,4,5,6,10,11,12],[1,4,6,7,8,9,13],[1,4,6,7,8,11,14],[1,5,7,9,11,12,14],[1,5,8,9,10,13,14],[1,7,8,10,11,12,13],[2,3,7,8,10,11,14],[2,4,5,7,8,9,12],[2,4,6,11,12,13,14],[2,4,7,9,10,11,14],[2,5,6,8,9,12,14],[2,5,6,8,10,11,13],[2,6,7,9,10,12,13],[3,4,5,7,10,12,13],[3,4,5,9,11,13,14],[3,4,6,8,10,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,13,14],[3,5,6,7,9,10,11]]; G[271]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 272: autom. group order 3, simple, residual B[272]:=[[1,2,3,4,5,6,7],[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],[1,4,6,7,8,12,13],[1,4,6,7,10,11,14],[1,5,7,8,12,13,14],[1,5,9,10,11,12,14],[1,7,8,9,10,11,13],[2,3,7,8,10,11,13],[2,4,5,7,10,11,12],[2,4,6,9,10,12,13],[2,4,8,9,11,12,14],[2,5,6,7,9,11,13],[2,5,6,8,9,13,14],[2,6,7,8,10,12,14],[3,4,5,7,8,9,12],[3,4,5,8,10,13,14],[3,4,6,11,12,13,14],[3,4,7,9,11,13,14],[3,5,6,7,9,10,14],[3,5,6,8,10,11,12]]; G[272]:=Group([(1,2,3)(4,8,9)(5,11,12)(6,14,7)]); # Design 273: autom. group order 3, simple, residual B[273]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,6,9,11,13],[1,4,6,7,8,9,12],[1,4,6,7,10,11,14],[1,5,7,9,10,11,12],[1,5,8,10,11,13,14],[1,7,8,9,12,13,14],[2,3,7,9,11,12,14],[2,4,5,8,9,11,14],[2,4,6,8,10,11,12],[2,4,7,8,10,13,14],[2,5,6,7,10,12,13],[2,5,6,9,10,12,14],[2,6,7,8,9,11,13],[3,4,5,7,8,12,13],[3,4,5,7,9,10,14],[3,4,6,11,12,13,14],[3,4,9,10,11,12,13],[3,5,6,7,8,11,14],[3,5,6,8,9,10,13]]; G[273]:=Group([(1,2,3)(4,7,10)(5,11,8)(6,13,9)]); # Design 274: autom. group order 3, simple, residual B[274]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,12,14],[1,4,5,6,11,12,14],[1,4,6,7,8,9,14],[1,4,6,8,10,11,13],[1,5,7,8,9,12,13],[1,5,7,9,10,11,13],[1,7,8,10,11,12,14],[2,3,7,8,10,11,14],[2,4,5,8,9,12,14],[2,4,6,7,10,11,12],[2,4,7,9,11,12,13],[2,5,6,7,8,9,10],[2,5,6,8,11,13,14],[2,6,9,10,12,13,14],[3,4,5,7,10,13,14],[3,4,5,9,10,11,12],[3,4,6,7,8,12,13],[3,4,8,9,11,13,14],[3,5,6,7,9,11,14],[3,5,6,8,10,12,13]]; G[274]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 275: autom. group order 3, simple, residual B[275]:=[[1,2,3,4,5,6,7],[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],[1,2,4,5,9,12,14],[1,3,6,7,11,12,14],[1,4,5,6,10,12,13],[1,4,6,8,10,11,12],[1,4,7,9,10,11,14],[1,5,6,7,8,9,13],[1,5,8,10,11,13,14],[1,7,8,9,12,13,14],[2,3,8,10,12,13,14],[2,4,5,7,10,13,14],[2,4,6,8,9,11,13],[2,4,6,11,12,13,14],[2,5,6,7,8,11,14],[2,5,7,9,10,11,12],[2,6,7,8,9,10,12],[3,4,5,7,8,12,13],[3,4,5,8,9,11,14],[3,4,6,7,8,10,14],[3,4,7,9,11,12,13],[3,5,6,9,10,11,13],[3,5,6,9,10,12,14]]; G[275]:=Group([(1,2,3)(4,10,7)(5,8,11)(6,9,13)]); # Design 276: autom. group order 3, simple, residual B[276]:=[[1,2,3,4,5,6,7],[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],[1,2,4,5,10,11,14],[1,3,6,7,9,10,14],[1,4,5,6,8,9,13],[1,4,6,10,11,12,13],[1,4,7,11,12,13,14],[1,5,6,7,8,10,12],[1,5,8,9,12,13,14],[1,7,8,9,10,11,14],[2,3,8,10,12,13,14],[2,4,5,9,10,13,14],[2,4,6,7,9,12,14],[2,4,6,8,9,11,12],[2,5,6,7,8,13,14],[2,5,7,9,10,11,12],[2,6,7,8,10,11,13],[3,4,5,7,8,11,14],[3,4,5,7,10,12,13],[3,4,6,8,10,12,14],[3,4,7,8,9,11,13],[3,5,6,9,10,11,13],[3,5,6,9,11,12,14]]; G[276]:=Group([(1,2,3)(4,8,9)(5,12,7)(6,11,13)]); # Design 277: autom. group order 3, simple B[277]:=[[1,2,3,4,5,6,7],[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],[1,3,6,7,9,10,14],[1,4,5,6,10,11,13],[1,4,6,8,10,13,14],[1,4,7,8,9,11,12],[1,5,6,8,9,12,14],[1,5,7,9,11,13,14],[1,7,8,10,11,12,13],[2,3,8,10,11,13,14],[2,4,5,9,11,13,14],[2,4,6,7,11,12,14],[2,4,6,8,9,12,13],[2,5,6,7,8,10,11],[2,5,7,8,9,10,14],[2,6,7,9,10,12,13],[3,4,5,7,8,9,13],[3,4,5,7,10,12,13],[3,4,6,7,8,11,14],[3,4,9,10,11,12,14],[3,5,6,8,12,13,14],[3,5,6,9,10,11,12]]; G[277]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 278: autom. group order 3, simple, residual B[278]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,6,9,11,13],[1,4,6,7,8,11,12],[1,4,7,8,10,13,14],[1,5,6,7,9,10,12],[1,5,7,8,9,11,14],[1,9,10,11,12,13,14],[2,3,7,9,11,12,14],[2,4,5,7,9,10,14],[2,4,6,8,9,12,14],[2,4,6,10,11,12,13],[2,5,6,8,10,11,14],[2,5,7,8,10,12,13],[2,6,7,8,9,11,13],[3,4,5,8,11,13,14],[3,4,5,9,10,11,12],[3,4,6,7,10,11,14],[3,4,7,8,9,12,13],[3,5,6,7,12,13,14],[3,5,6,8,9,10,13]]; G[278]:=Group([(1,2,3)(4,7,10)(5,11,8)(6,13,9)]); # Design 279: autom. group order 3, simple B[279]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,6,9,10,12],[1,4,6,7,8,11,13],[1,4,7,8,9,11,14],[1,5,6,7,9,10,11],[1,5,7,8,12,13,14],[1,9,10,11,12,13,14],[2,3,7,9,10,11,14],[2,4,5,7,11,12,14],[2,4,6,8,9,12,14],[2,4,6,9,11,12,13],[2,5,6,8,10,11,14],[2,5,7,8,9,10,13],[2,6,7,8,10,12,13],[3,4,5,8,9,13,14],[3,4,5,10,11,12,13],[3,4,6,7,10,13,14],[3,4,7,8,10,11,12],[3,5,6,7,9,12,14],[3,5,6,8,9,11,13]]; G[279]:=Group([(1,2,3)(4,9,8)(5,7,12)(6,13,11)]); # Design 280: autom. group order 3, simple, residual B[280]:=[[1,2,3,4,5,6,7],[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],[1,3,6,10,11,12,14],[1,4,5,6,9,13,14],[1,4,6,7,8,11,12],[1,4,7,8,10,11,13],[1,5,6,7,9,10,12],[1,5,7,8,9,11,14],[1,8,9,10,12,13,14],[2,3,7,8,9,12,14],[2,4,5,9,10,11,12],[2,4,6,7,8,9,14],[2,4,6,8,10,12,13],[2,5,6,8,10,11,14],[2,5,7,9,10,11,13],[2,6,7,11,12,13,14],[3,4,5,7,10,12,14],[3,4,5,8,11,13,14],[3,4,6,9,10,11,14],[3,4,7,9,11,12,13],[3,5,6,7,8,10,13],[3,5,6,8,9,12,13]]; G[280]:=Group([(1,2,3)(4,9,6)(5,8,11)(7,10,13)]); # Design 281: autom. group order 3, simple, residual B[281]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,12,14],[1,4,5,6,10,11,12],[1,4,6,7,8,10,14],[1,4,7,8,9,11,13],[1,5,6,8,9,13,14],[1,5,7,9,11,12,14],[1,7,8,10,11,12,13],[2,3,7,8,10,11,14],[2,4,5,7,9,11,14],[2,4,6,7,8,9,12],[2,4,6,11,12,13,14],[2,5,6,8,10,11,13],[2,5,8,9,10,12,14],[2,6,7,9,10,12,13],[3,4,5,7,10,12,13],[3,4,5,8,9,12,13],[3,4,6,8,11,12,14],[3,4,9,10,11,13,14],[3,5,6,7,8,13,14],[3,5,6,7,9,10,11]]; G[281]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 282: autom. group order 3, simple, residual B[282]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,6,8,9,11],[1,4,6,7,9,12,14],[1,4,7,11,12,13,14],[1,5,6,9,10,11,13],[1,5,7,8,10,12,13],[1,7,8,9,10,11,14],[2,3,7,9,10,11,14],[2,4,5,7,10,11,12],[2,4,6,7,8,9,13],[2,4,6,8,10,12,14],[2,5,6,9,11,12,14],[2,5,8,9,12,13,14],[2,6,7,8,10,11,13],[3,4,5,7,8,11,14],[3,4,5,9,10,13,14],[3,4,6,10,11,12,13],[3,4,8,9,11,12,13],[3,5,6,7,8,13,14],[3,5,6,7,9,10,12]]; G[282]:=Group([(1,2,3)(4,9,8)(5,7,12)(6,13,11)]); # Design 283: autom. group order 3, simple, residual B[283]:=[[1,2,3,4,5,6,7],[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],[1,3,6,10,11,12,14],[1,4,5,6,8,9,13],[1,4,6,7,8,11,12],[1,4,9,10,11,12,13],[1,5,6,7,8,10,14],[1,5,7,9,11,12,14],[1,7,8,9,10,13,14],[2,3,7,8,9,12,14],[2,4,5,7,9,10,11],[2,4,6,7,9,11,14],[2,4,6,8,10,12,14],[2,5,6,10,11,13,14],[2,5,7,8,10,12,13],[2,6,8,9,11,12,13],[3,4,5,8,11,13,14],[3,4,5,9,10,12,14],[3,4,6,7,10,12,13],[3,4,7,8,11,13,14],[3,5,6,7,9,12,13],[3,5,6,8,9,10,11]]; G[283]:=Group([(1,2,12)(3,8,11)(4,13,14)(6,10,9)]); # Design 284: autom. group order 3, simple, residual B[284]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,12,14],[1,4,5,6,11,12,14],[1,4,6,7,8,12,13],[1,4,8,9,11,13,14],[1,5,6,7,8,9,10],[1,5,7,9,10,11,13],[1,7,8,10,11,12,14],[2,3,7,8,10,11,14],[2,4,5,9,10,11,12],[2,4,6,7,8,9,14],[2,4,6,7,10,11,12],[2,5,6,8,11,13,14],[2,5,7,8,9,12,13],[2,6,9,10,12,13,14],[3,4,5,7,10,13,14],[3,4,5,8,9,12,14],[3,4,6,8,10,11,13],[3,4,7,9,11,12,13],[3,5,6,7,9,11,14],[3,5,6,8,10,12,13]]; G[284]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 285: autom. group order 3, simple, residual B[285]:=[[1,2,3,4,5,6,7],[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],[1,3,6,10,11,12,14],[1,4,5,6,9,10,12],[1,4,6,7,8,11,14],[1,4,8,11,12,13,14],[1,5,6,7,9,13,14],[1,5,7,8,9,10,11],[1,7,8,9,10,12,13],[2,3,7,8,9,12,14],[2,4,5,9,10,11,14],[2,4,6,7,8,10,14],[2,4,6,8,9,12,13],[2,5,6,8,10,11,13],[2,5,7,9,11,12,14],[2,6,7,10,11,12,13],[3,4,5,7,8,11,13],[3,4,5,7,10,12,13],[3,4,6,7,9,11,12],[3,4,9,10,11,13,14],[3,5,6,8,9,13,14],[3,5,6,8,10,12,14]]; G[285]:=Group([(1,2,3)(4,9,6)(5,8,11)(7,10,13)]); # Design 286: autom. group order 3, simple B[286]:=[[1,2,3,4,5,6,7],[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],[1,2,4,5,10,12,14],[1,3,6,7,11,12,14],[1,4,5,6,9,12,13],[1,4,6,8,10,13,14],[1,4,7,8,11,12,14],[1,5,7,8,9,11,13],[1,5,7,9,10,12,13],[1,6,8,9,10,11,14],[2,3,8,9,12,13,14],[2,4,5,6,11,13,14],[2,4,6,7,8,9,12],[2,4,7,9,11,13,14],[2,5,6,7,8,10,11],[2,5,9,10,11,12,14],[2,6,7,8,10,12,13],[3,4,5,7,8,9,14],[3,4,5,8,10,11,13],[3,4,6,9,10,11,12],[3,4,7,10,11,12,13],[3,5,6,7,9,10,14],[3,5,6,8,12,13,14]]; G[286]:=Group([(1,2,3)(4,9,6)(5,8,11)(7,10,13)]); # Design 287: autom. group order 3, simple, residual B[287]:=[[1,2,3,4,5,6,7],[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],[1,2,4,5,10,12,14],[1,3,6,7,11,12,14],[1,4,5,6,8,12,13],[1,4,6,9,11,13,14],[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],[2,3,8,9,12,13,14],[2,4,5,6,7,9,14],[2,4,6,10,11,12,13],[2,4,7,8,9,11,12],[2,5,6,8,10,11,14],[2,5,7,9,10,11,13],[2,6,7,8,12,13,14],[3,4,5,7,9,12,13],[3,4,5,8,11,13,14],[3,4,6,8,9,10,14],[3,4,7,10,11,12,14],[3,5,6,7,8,10,13],[3,5,6,9,10,11,12]]; G[287]:=Group([(1,2,3)(4,9,6)(5,8,11)(7,10,13)]); # Design 288: autom. group order 3, simple, residual B[288]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,6,7,10,12],[1,4,6,7,9,11,14],[1,4,8,11,12,13,14],[1,5,7,9,10,11,14],[1,5,8,9,10,11,13],[1,6,7,8,9,12,13],[2,3,7,9,11,12,14],[2,4,5,6,8,9,11],[2,4,6,8,10,11,14],[2,4,7,10,11,12,13],[2,5,6,9,10,12,13],[2,5,7,8,9,12,14],[2,6,7,8,10,13,14],[3,4,5,7,8,13,14],[3,4,5,9,10,13,14],[3,4,6,9,11,12,13],[3,4,7,8,9,10,12],[3,5,6,7,8,11,13],[3,5,6,10,11,12,14]]; G[288]:=Group([(1,2,3)(4,7,10)(5,11,8)(6,13,9)]); # Design 289: autom. group order 3, simple, residual B[289]:=[[1,2,3,4,5,6,7],[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],[1,4,5,6,7,8,10],[1,4,6,10,11,12,14],[1,4,7,8,9,11,13],[1,5,7,8,9,11,12],[1,5,9,10,11,13,14],[1,6,7,8,12,13,14],[2,3,7,8,10,11,13],[2,4,5,6,9,11,12],[2,4,6,8,9,12,13],[2,4,7,10,11,12,13],[2,5,6,7,9,13,14],[2,5,7,8,10,12,14],[2,6,8,9,10,11,14],[3,4,5,8,9,13,14],[3,4,5,8,11,12,14],[3,4,6,7,11,13,14],[3,4,7,9,10,12,14],[3,5,6,7,9,10,11],[3,5,6,8,10,12,13]]; G[289]:=Group([(1,2,3)(4,8,9)(5,11,12)(6,14,7)]); # Design 290: autom. group order 3, simple, residual B[290]:=[[1,2,3,4,5,6,7],[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],[1,3,6,10,11,12,14],[1,4,5,6,7,9,12],[1,4,6,8,10,13,14],[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],[2,3,7,8,9,12,14],[2,4,5,6,10,11,14],[2,4,6,8,9,10,12],[2,4,7,9,11,13,14],[2,5,6,7,8,11,13],[2,5,9,10,11,12,14],[2,6,7,8,10,12,13],[3,4,5,7,8,10,11],[3,4,5,8,9,13,14],[3,4,6,9,11,12,13],[3,4,7,10,11,12,13],[3,5,6,7,9,10,14],[3,5,6,8,12,13,14]]; G[290]:=Group([(1,2,3)(4,9,6)(5,8,11)(7,10,13)]); # Design 291: autom. group order 3, simple, residual B[291]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,6,7,10,12],[1,4,6,9,11,12,13],[1,4,7,8,9,13,14],[1,5,7,9,10,11,14],[1,5,8,9,10,11,13],[1,6,7,8,11,12,14],[2,3,7,9,11,12,14],[2,4,5,6,8,9,11],[2,4,6,8,10,11,14],[2,4,7,10,11,12,13],[2,5,6,7,9,10,14],[2,5,8,10,12,13,14],[2,6,7,8,9,12,13],[3,4,5,7,8,13,14],[3,4,5,9,11,12,14],[3,4,6,10,11,13,14],[3,4,7,8,9,10,12],[3,5,6,7,8,11,13],[3,5,6,9,10,12,13]]; G[291]:=Group([(1,2,3)(4,7,10)(5,11,8)(6,13,9)]); # Design 292: autom. group order 3, simple B[292]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,6,9,11,13],[1,4,6,7,8,11,12],[1,4,7,8,9,10,14],[1,5,7,8,9,11,14],[1,5,7,9,10,12,13],[1,6,10,11,12,13,14],[2,3,7,9,11,12,14],[2,4,5,6,7,10,14],[2,4,6,9,10,11,12],[2,4,8,9,12,13,14],[2,5,6,8,10,11,14],[2,5,7,8,10,12,13],[2,6,7,8,9,11,13],[3,4,5,8,11,13,14],[3,4,5,9,10,11,12],[3,4,6,7,8,12,13],[3,4,7,10,11,13,14],[3,5,6,7,9,12,14],[3,5,6,8,9,10,13]]; G[292]:=Group([(1,2,3)(4,7,10)(5,11,8)(6,13,9)]); # Design 293: autom. group order 3, simple, residual B[293]:=[[1,2,3,4,5,6,7],[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],[1,4,5,6,8,9,13],[1,4,6,7,8,10,11],[1,4,7,10,11,12,14],[1,5,7,8,9,11,12],[1,5,8,10,12,13,14],[1,6,7,9,11,13,14],[2,3,7,8,10,11,13],[2,4,5,6,9,11,12],[2,4,6,7,12,13,14],[2,4,8,9,11,13,14],[2,5,6,7,8,10,12],[2,5,7,9,10,11,13],[2,6,8,9,10,12,14],[3,4,5,7,9,10,14],[3,4,5,8,11,12,14],[3,4,6,10,11,12,13],[3,4,7,8,9,12,13],[3,5,6,7,8,13,14],[3,5,6,9,10,11,14]]; G[293]:=Group([(1,2,3)(4,8,9)(5,11,12)(6,14,7)]); # Design 294: autom. group order 3, simple, residual B[294]:=[[1,2,3,4,5,6,7],[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],[1,4,6,7,11,13,14],[1,4,7,8,9,12,13],[1,5,7,8,10,12,14],[1,5,9,10,11,13,14],[1,6,7,8,9,10,11],[2,3,7,8,10,11,13],[2,4,5,6,8,9,13],[2,4,6,9,10,12,14],[2,4,7,10,11,12,13],[2,5,6,7,9,10,11],[2,5,8,9,11,12,14],[2,6,7,8,12,13,14],[3,4,5,7,8,10,14],[3,4,5,7,9,11,12],[3,4,6,10,11,12,14],[3,4,8,9,11,13,14],[3,5,6,7,9,13,14],[3,5,6,8,10,12,13]]; G[294]:=Group([(1,2,3)(4,8,9)(5,11,12)(6,14,7)]); # Design 295: autom. group order 3, simple, residual B[295]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,6,9,12,14],[1,4,6,7,10,11,13],[1,4,8,9,11,12,13],[1,5,7,8,11,13,14],[1,5,7,9,10,11,12],[1,6,7,8,9,10,14],[2,3,7,9,10,11,14],[2,4,5,6,8,9,11],[2,4,6,7,11,12,14],[2,4,8,10,12,13,14],[2,5,6,7,8,10,12],[2,5,7,8,9,13,14],[2,6,9,10,11,12,13],[3,4,5,7,10,12,13],[3,4,5,9,10,11,14],[3,4,6,7,8,9,13],[3,4,7,8,11,12,14],[3,5,6,8,10,11,13],[3,5,6,9,12,13,14]]; G[295]:=Group([(1,2,3)(4,9,8)(5,7,12)(6,13,11)]); # Design 296: autom. group order 3, simple, residual B[296]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,6,9,11,13],[1,4,6,7,9,10,12],[1,4,8,9,11,12,14],[1,5,7,8,10,11,13],[1,5,7,9,11,12,14],[1,6,7,8,10,13,14],[2,3,7,9,10,11,14],[2,4,5,6,8,9,14],[2,4,6,7,10,11,12],[2,4,10,11,12,13,14],[2,5,6,7,8,12,14],[2,5,8,9,10,12,13],[2,6,7,8,9,11,13],[3,4,5,7,8,10,11],[3,4,5,7,12,13,14],[3,4,6,8,11,12,13],[3,4,7,8,9,13,14],[3,5,6,9,10,11,14],[3,5,6,9,10,12,13]]; G[296]:=Group([(1,2,3)(4,9,8)(5,7,12)(6,13,11)]); # Design 297: autom. group order 3, simple B[297]:=[[1,2,3,4,5,6,7],[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],[1,3,6,10,11,12,14],[1,4,5,6,8,10,14],[1,4,6,9,11,12,13],[1,4,7,8,11,12,14],[1,5,7,8,9,10,11],[1,5,7,9,10,12,13],[1,6,7,8,9,13,14],[2,3,7,8,9,12,14],[2,4,5,6,7,9,12],[2,4,6,7,10,11,14],[2,4,8,9,11,13,14],[2,5,6,8,10,11,13],[2,5,9,10,11,12,14],[2,6,7,8,10,12,13],[3,4,5,7,8,11,13],[3,4,5,9,10,13,14],[3,4,6,8,9,10,12],[3,4,7,10,11,12,13],[3,5,6,7,9,11,14],[3,5,6,8,12,13,14]]; G[297]:=Group([(1,2,3)(4,9,6)(5,8,11)(7,10,13)]); # Design 298: autom. group order 3, simple, residual B[298]:=[[1,2,3,4,5,6,7],[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],[2,4,5,6,8,9,13],[2,4,6,7,10,11,12],[2,4,7,8,10,12,14],[2,5,6,7,9,13,14],[2,5,8,9,11,12,14],[2,6,9,10,11,12,13],[3,4,5,7,9,11,12],[3,4,5,10,12,13,14],[3,4,6,7,11,13,14],[3,4,8,9,11,13,14],[3,5,6,7,8,9,10],[3,5,6,8,10,12,14]]; G[298]:=Group([(1,2,3)(4,8,9)(5,11,12)(6,14,7)]); # Design 299: autom. group order 3, simple, residual B[299]:=[[1,2,3,4,5,6,7],[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],[1,2,4,5,10,12,14],[1,3,6,7,11,12,14],[1,4,5,6,8,13,14],[1,4,6,9,10,11,12],[1,4,7,9,11,13,14],[1,5,7,8,9,12,14],[1,5,8,9,10,11,13],[1,6,7,8,10,12,13],[2,3,8,9,12,13,14],[2,4,5,6,9,12,13],[2,4,7,8,9,11,14],[2,4,7,10,11,12,13],[2,5,6,7,8,11,13],[2,5,6,7,9,10,14],[2,6,8,10,11,12,14],[3,4,5,7,8,10,11],[3,4,5,11,12,13,14],[3,4,6,7,8,9,12],[3,4,6,8,10,13,14],[3,5,6,9,10,11,14],[3,5,7,9,10,12,13]]; G[299]:=Group([(1,2,3)(4,9,6)(5,8,11)(7,10,13)]); # Design 300: autom. group order 3, simple B[300]:=[[1,2,3,4,5,6,7],[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],[1,3,6,10,11,12,14],[1,4,5,6,8,10,12],[1,4,6,9,11,13,14],[1,4,7,9,10,11,12],[1,5,7,8,9,10,13],[1,5,7,8,9,11,14],[1,6,7,8,12,13,14],[2,3,7,8,9,12,14],[2,4,5,6,7,9,14],[2,4,7,10,11,12,14],[2,4,8,9,11,12,13],[2,5,6,8,10,11,14],[2,5,6,9,10,12,13],[2,6,7,8,10,11,13],[3,4,5,7,10,11,13],[3,4,5,8,11,13,14],[3,4,6,7,8,12,13],[3,4,6,8,9,10,14],[3,5,6,7,9,11,12],[3,5,9,10,12,13,14]]; G[300]:=Group([(1,2,3)(4,9,6)(5,8,11)(7,10,13)]); # Design 301: autom. group order 3, simple, residual B[301]:=[[1,2,3,4,5,6,7],[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],[1,2,4,5,10,12,14],[1,3,6,7,11,12,14],[1,4,5,6,9,13,14],[1,4,6,8,10,11,12],[1,4,7,8,12,13,14],[1,5,7,8,9,11,14],[1,5,7,9,10,11,13],[1,6,8,9,10,12,13],[2,3,8,9,12,13,14],[2,4,5,9,11,12,13],[2,4,6,7,8,9,14],[2,4,6,7,11,12,13],[2,5,6,7,8,10,13],[2,5,6,8,10,11,14],[2,7,9,10,11,12,14],[3,4,5,7,9,10,12],[3,4,5,8,11,13,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,13],[3,5,6,7,8,9,12],[3,5,6,10,12,13,14]]; G[301]:=Group([(1,2,3)(4,9,6)(5,8,11)(7,10,13)]); # Design 302: autom. group order 3, simple, residual B[302]:=[[1,2,3,4,5,6,7],[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],[1,3,6,7,9,10,14],[1,4,5,6,10,11,13],[1,4,6,8,11,13,14],[1,4,7,8,9,11,12],[1,5,7,8,10,12,13],[1,5,7,9,11,13,14],[1,6,8,9,10,12,14],[2,3,8,10,11,13,14],[2,4,5,9,10,13,14],[2,4,6,7,11,12,14],[2,4,6,8,9,12,13],[2,5,6,7,8,9,14],[2,5,6,7,8,10,11],[2,7,9,10,11,12,13],[3,4,5,7,8,9,13],[3,4,5,9,11,12,14],[3,4,6,7,10,12,13],[3,4,7,8,10,11,14],[3,5,6,8,12,13,14],[3,5,6,9,10,11,12]]; G[302]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 303: autom. group order 3, simple, residual B[303]:=[[1,2,3,4,5,6,7],[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],[1,2,4,5,10,11,14],[1,3,6,7,9,10,14],[1,4,5,6,8,9,13],[1,4,6,8,10,12,14],[1,4,7,11,12,13,14],[1,5,7,8,9,11,14],[1,5,7,8,10,12,13],[1,6,9,10,11,12,13],[2,3,8,10,12,13,14],[2,4,5,9,12,13,14],[2,4,6,7,10,11,13],[2,4,6,8,9,11,12],[2,5,6,7,8,13,14],[2,5,6,7,9,10,12],[2,7,8,9,10,11,14],[3,4,5,7,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,8,12,14],[3,4,7,8,9,11,13],[3,5,6,8,10,11,13],[3,5,6,9,11,12,14]]; G[303]:=Group([(1,2,3)(4,8,9)(5,12,7)(6,11,13)]); # Design 304: autom. group order 3, simple B[304]:=[[1,2,3,4,5,6,7],[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],[1,3,6,7,9,10,14],[1,4,5,6,11,13,14],[1,4,6,8,10,11,12],[1,4,7,8,9,11,14],[1,5,7,8,10,13,14],[1,5,9,10,11,12,13],[1,6,7,8,9,12,13],[2,3,8,10,11,13,14],[2,4,5,7,9,12,13],[2,4,6,7,10,11,13],[2,4,6,8,9,12,14],[2,5,6,7,8,11,14],[2,5,6,8,9,10,13],[2,7,9,10,11,12,14],[3,4,5,7,9,10,11],[3,4,5,8,9,13,14],[3,4,6,10,12,13,14],[3,4,7,8,11,12,13],[3,5,6,7,8,10,12],[3,5,6,9,11,12,14]]; G[304]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 305: autom. group order 3, simple, residual B[305]:=[[1,2,3,4,5,6,7],[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],[1,2,4,5,10,12,14],[1,3,6,7,11,12,14],[1,4,5,6,9,12,13],[1,4,6,8,11,13,14],[1,4,7,8,10,12,13],[1,5,7,8,9,11,13],[1,5,9,10,11,12,14],[1,6,7,8,9,10,14],[2,3,8,9,12,13,14],[2,4,5,7,9,11,14],[2,4,6,7,8,9,12],[2,4,6,10,11,13,14],[2,5,6,7,8,10,11],[2,5,6,8,12,13,14],[2,7,9,10,11,12,13],[3,4,5,7,9,13,14],[3,4,5,8,10,11,13],[3,4,6,9,10,11,12],[3,4,7,8,11,12,14],[3,5,6,7,10,12,13],[3,5,6,8,9,10,14]]; G[305]:=Group([(1,2,3)(4,9,6)(5,8,11)(7,10,13)]); # Design 306: autom. group order 3, simple, residual B[306]:=[[1,2,3,4,5,6,7],[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],[1,2,4,5,10,11,14],[1,3,6,7,9,10,14],[1,4,5,6,8,9,13],[1,4,6,8,10,12,14],[1,4,7,11,12,13,14],[1,5,7,9,10,11,12],[1,5,8,9,12,13,14],[1,6,7,8,10,11,13],[2,3,8,10,12,13,14],[2,4,5,7,10,12,13],[2,4,6,7,9,12,14],[2,4,6,8,9,11,12],[2,5,6,7,8,13,14],[2,5,6,9,10,11,13],[2,7,8,9,10,11,14],[3,4,5,7,8,11,14],[3,4,5,9,10,13,14],[3,4,6,10,11,12,13],[3,4,7,8,9,11,13],[3,5,6,7,8,10,12],[3,5,6,9,11,12,14]]; G[306]:=Group([(1,2,3)(4,8,9)(5,12,7)(6,11,13)]); # Design 307: autom. group order 3, simple, residual B[307]:=[[1,2,3,4,5,6,7],[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],[1,2,4,5,10,11,14],[1,3,6,7,9,10,14],[1,4,5,6,8,12,14],[1,4,6,8,9,12,13],[1,4,7,11,12,13,14],[1,5,7,9,10,11,12],[1,5,8,9,10,13,14],[1,6,7,8,10,11,13],[2,3,8,10,12,13,14],[2,4,5,7,10,12,13],[2,4,6,7,8,9,11],[2,4,6,9,10,12,14],[2,5,6,7,8,13,14],[2,5,6,9,10,11,13],[2,7,8,9,11,12,14],[3,4,5,7,9,13,14],[3,4,5,8,9,11,13],[3,4,6,10,11,12,13],[3,4,7,8,10,11,14],[3,5,6,7,8,10,12],[3,5,6,9,11,12,14]]; G[307]:=Group([(1,2,3)(4,8,9)(5,12,7)(6,11,13)]); # Design 308: autom. group order 3, simple, residual B[308]:=[[1,2,3,4,5,6,7],[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],[1,2,4,5,10,11,14],[1,3,6,7,9,10,14],[1,4,5,6,8,9,13],[1,4,6,8,10,12,14],[1,4,7,9,11,12,14],[1,5,7,8,10,12,13],[1,5,9,11,12,13,14],[1,6,7,8,10,11,13],[2,3,8,10,12,13,14],[2,4,5,7,8,13,14],[2,4,6,7,12,13,14],[2,4,6,8,9,11,12],[2,5,6,7,9,10,12],[2,5,6,9,10,11,13],[2,7,8,9,10,11,14],[3,4,5,7,10,11,12],[3,4,5,9,10,13,14],[3,4,6,10,11,12,13],[3,4,7,8,9,11,13],[3,5,6,7,8,11,14],[3,5,6,8,9,12,14]]; G[308]:=Group([(1,2,3)(4,8,9)(5,12,7)(6,11,13)]); # Design 309: autom. group order 3, simple B[309]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,6,7,9,14],[1,4,6,8,9,12,13],[1,4,9,10,11,12,14],[1,5,7,8,11,13,14],[1,5,7,9,10,11,12],[1,6,7,8,10,11,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,6,7,11,12,14],[2,4,6,10,11,12,13],[2,5,6,7,8,10,12],[2,5,6,8,9,10,14],[2,7,8,9,12,13,14],[3,4,5,7,10,12,13],[3,4,5,8,11,12,14],[3,4,6,7,8,9,11],[3,4,7,8,10,13,14],[3,5,6,9,10,11,13],[3,5,6,9,12,13,14]]; G[309]:=Group([(1,2,3)(4,9,8)(5,7,12)(6,13,11)]); # Design 310: autom. group order 3, simple, residual B[310]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,6,9,10,14],[1,4,6,7,8,9,11],[1,4,7,11,12,13,14],[1,5,7,8,9,11,14],[1,5,7,8,10,12,13],[1,6,9,10,11,12,13],[2,3,7,9,10,11,14],[2,4,5,7,10,11,12],[2,4,6,7,8,12,14],[2,4,6,8,9,12,13],[2,5,6,8,10,11,13],[2,5,6,9,11,12,14],[2,7,8,9,10,13,14],[3,4,5,8,9,11,13],[3,4,5,9,12,13,14],[3,4,6,7,10,11,13],[3,4,8,10,11,12,14],[3,5,6,7,8,13,14],[3,5,6,7,9,10,12]]; G[310]:=Group([(1,2,3)(4,9,8)(5,7,12)(6,13,11)]); # Design 311: autom. group order 3, simple, residual B[311]:=[[1,2,3,4,5,6,7],[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],[1,3,6,10,11,12,14],[1,4,5,6,9,10,12],[1,4,6,7,8,11,13],[1,4,7,8,9,10,14],[1,5,7,8,10,12,13],[1,5,7,9,11,12,14],[1,6,8,9,11,13,14],[2,3,7,8,9,12,14],[2,4,5,8,9,11,13],[2,4,6,7,12,13,14],[2,4,6,9,10,11,12],[2,5,6,7,8,10,14],[2,5,6,8,10,11,14],[2,7,9,10,11,12,13],[3,4,5,7,9,11,14],[3,4,5,10,11,13,14],[3,4,6,7,8,11,12],[3,4,8,10,12,13,14],[3,5,6,7,9,10,13],[3,5,6,8,9,12,13]]; G[311]:=Group([(1,3,12)(2,8,5)(4,9,13)(6,14,10)]); # Design 312: autom. group order 3, simple, residual B[312]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,6,9,10,14],[1,4,6,7,8,9,11],[1,4,7,8,12,13,14],[1,5,7,8,11,13,14],[1,5,7,9,10,11,12],[1,6,9,10,11,12,13],[2,3,7,9,10,11,14],[2,4,5,9,11,12,14],[2,4,6,7,11,12,14],[2,4,6,8,9,12,13],[2,5,6,7,8,10,12],[2,5,6,8,10,11,13],[2,7,8,9,10,13,14],[3,4,5,7,10,12,13],[3,4,5,8,9,11,13],[3,4,6,7,10,11,13],[3,4,8,10,11,12,14],[3,5,6,7,8,9,14],[3,5,6,9,12,13,14]]; G[312]:=Group([(1,2,3)(4,9,8)(5,7,12)(6,13,11)]); # Design 313: autom. group order 3, simple, residual B[313]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,6,9,10,14],[1,4,6,7,8,9,11],[1,4,7,11,12,13,14],[1,5,7,9,10,11,12],[1,5,8,9,12,13,14],[1,6,7,8,10,11,13],[2,3,7,9,10,11,14],[2,4,5,7,8,11,14],[2,4,6,8,9,12,13],[2,4,6,10,11,12,13],[2,5,6,7,8,10,12],[2,5,6,9,11,12,14],[2,7,8,9,10,13,14],[3,4,5,7,10,12,13],[3,4,5,8,9,11,13],[3,4,6,7,9,12,14],[3,4,8,10,11,12,14],[3,5,6,7,8,13,14],[3,5,6,9,10,11,13]]; G[313]:=Group([(1,2,3)(4,9,8)(5,7,12)(6,13,11)]); # Design 314: autom. group order 3, simple, residual B[314]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,6,9,10,14],[1,4,6,7,8,9,11],[1,4,7,9,11,12,14],[1,5,7,8,10,12,13],[1,5,9,11,12,13,14],[1,6,7,8,10,11,13],[2,3,7,9,10,11,14],[2,4,5,7,10,11,12],[2,4,6,8,9,12,13],[2,4,6,10,11,12,13],[2,5,6,7,8,11,14],[2,5,6,8,9,12,14],[2,7,8,9,10,13,14],[3,4,5,7,8,13,14],[3,4,5,8,9,11,13],[3,4,6,7,12,13,14],[3,4,8,10,11,12,14],[3,5,6,7,9,10,12],[3,5,6,9,10,11,13]]; G[314]:=Group([(1,2,3)(4,9,8)(5,7,12)(6,13,11)]); # Design 315: autom. group order 3, simple, residual B[315]:=[[1,2,3,4,5,6,7],[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],[1,3,6,10,11,12,14],[1,4,5,6,9,10,12],[1,4,6,7,8,11,13],[1,4,8,9,10,11,14],[1,5,7,8,10,12,13],[1,5,7,9,11,12,14],[1,6,7,8,9,13,14],[2,3,7,8,9,12,14],[2,4,5,8,9,11,13],[2,4,6,7,9,10,12],[2,4,6,11,12,13,14],[2,5,6,7,8,10,14],[2,5,6,8,10,11,14],[2,7,9,10,11,12,13],[3,4,5,7,9,11,14],[3,4,5,7,10,13,14],[3,4,6,7,8,11,12],[3,4,8,10,12,13,14],[3,5,6,8,9,12,13],[3,5,6,9,10,11,13]]; G[315]:=Group([(1,3,12)(2,8,5)(4,9,13)(6,14,10)]); # Design 316: autom. group order 3, simple, residual B[316]:=[[1,2,3,4,5,6,7],[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],[1,4,7,11,12,13,14],[1,5,7,8,9,13,14],[1,5,7,8,10,11,12],[1,6,7,9,10,11,14],[2,3,7,8,10,11,13],[2,4,5,8,9,11,14],[2,4,6,7,9,11,13],[2,4,6,7,10,12,14],[2,5,6,7,8,12,13],[2,5,6,9,10,11,12],[2,8,9,10,12,13,14],[3,4,5,7,9,10,13],[3,4,5,10,11,12,14],[3,4,6,8,12,13,14],[3,4,7,8,9,11,12],[3,5,6,7,8,10,14],[3,5,6,9,11,13,14]]; G[316]:=Group([(1,2,3)(4,8,9)(5,11,12)(6,14,7)]); # Design 317: autom. group order 3, simple, residual B[317]:=[[1,2,3,4,5,6,7],[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],[2,4,5,8,9,11,14],[2,4,6,7,8,12,13],[2,4,6,7,10,12,14],[2,5,6,7,9,11,13],[2,5,6,9,10,11,12],[2,8,9,10,12,13,14],[3,4,5,7,9,10,13],[3,4,5,10,11,12,14],[3,4,6,11,12,13,14],[3,4,7,8,9,11,12],[3,5,6,7,8,10,14],[3,5,6,8,9,13,14]]; G[317]:=Group([(1,2,3)(4,8,9)(5,11,12)(6,14,7)]); # Design 318: autom. group order 3, simple, residual B[318]:=[[1,2,3,4,5,6,7],[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],[2,4,5,8,9,11,14],[2,4,6,7,10,12,14],[2,4,6,7,11,12,13],[2,5,6,7,8,9,13],[2,5,6,9,10,11,12],[2,8,9,10,12,13,14],[3,4,5,7,9,10,13],[3,4,5,10,11,12,14],[3,4,6,9,11,13,14],[3,4,7,8,9,11,12],[3,5,6,7,8,10,14],[3,5,6,8,12,13,14]]; G[318]:=Group([(1,2,3)(4,8,9)(5,11,12)(6,14,7)]); # Design 319: autom. group order 3, simple, residual B[319]:=[[1,2,3,4,5,6,7],[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],[1,3,6,7,9,10,14],[1,4,5,6,10,11,13],[1,4,6,8,9,12,13],[1,4,7,8,10,11,14],[1,5,7,9,11,12,14],[1,5,8,9,11,13,14],[1,6,7,8,10,12,13],[2,3,8,10,11,13,14],[2,4,5,7,8,9,13],[2,4,6,7,9,11,14],[2,4,6,11,12,13,14],[2,5,6,7,8,10,11],[2,5,7,9,10,12,13],[2,6,8,9,10,12,14],[3,4,5,6,8,12,14],[3,4,5,9,10,13,14],[3,4,7,8,9,11,12],[3,4,7,10,11,12,13],[3,5,6,7,8,13,14],[3,5,6,9,10,11,12]]; G[319]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 320: autom. group order 3, simple, residual B[320]:=[[1,2,3,4,5,6,7],[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],[1,2,4,5,10,11,14],[1,3,6,7,9,10,14],[1,4,5,6,8,9,13],[1,4,6,10,11,12,13],[1,4,7,8,10,13,14],[1,5,7,9,10,11,12],[1,5,8,9,12,13,14],[1,6,7,8,11,12,14],[2,3,8,10,12,13,14],[2,4,5,7,10,12,13],[2,4,6,7,9,12,14],[2,4,6,8,9,11,12],[2,5,6,8,9,10,14],[2,5,7,9,11,13,14],[2,6,7,8,10,11,13],[3,4,5,6,12,13,14],[3,4,5,7,8,11,14],[3,4,7,8,9,11,13],[3,4,9,10,11,12,14],[3,5,6,7,8,10,12],[3,5,6,9,10,11,13]]; G[320]:=Group([(1,2,3)(4,8,9)(5,12,7)(6,11,13)]); # Design 321: autom. group order 3, simple, residual B[321]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,12,14],[1,4,5,6,7,11,14],[1,4,6,8,9,12,14],[1,4,7,8,11,12,13],[1,5,7,9,10,11,12],[1,5,8,9,10,11,13],[1,6,7,8,10,13,14],[2,3,7,8,10,11,14],[2,4,5,8,9,13,14],[2,4,6,7,9,10,11],[2,4,6,10,11,12,13],[2,5,6,8,11,12,14],[2,5,7,9,10,12,14],[2,6,7,8,9,12,13],[3,4,5,6,8,10,12],[3,4,5,7,9,12,13],[3,4,7,8,9,11,14],[3,4,10,11,12,13,14],[3,5,6,7,8,10,13],[3,5,6,9,11,13,14]]; G[321]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 322: autom. group order 3, simple, residual B[322]:=[[1,2,3,4,5,6,7],[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],[1,4,6,7,8,11,13],[1,4,7,11,12,13,14],[1,5,7,8,9,10,13],[1,5,8,10,11,12,14],[1,6,7,9,10,11,14],[2,3,7,8,10,11,13],[2,4,5,8,9,11,14],[2,4,6,7,10,12,14],[2,4,6,9,10,11,13],[2,5,6,7,8,12,13],[2,5,7,9,10,11,12],[2,6,8,9,12,13,14],[3,4,5,6,10,11,12],[3,4,5,7,9,13,14],[3,4,7,8,9,11,12],[3,4,8,10,12,13,14],[3,5,6,7,8,10,14],[3,5,6,9,11,13,14]]; G[322]:=Group([(1,2,3)(4,8,9)(5,11,12)(6,14,7)]); # Design 323: autom. group order 3, simple B[323]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,6,8,9,11],[1,4,6,7,9,12,14],[1,4,9,10,11,12,14],[1,5,7,8,10,12,13],[1,5,7,9,11,13,14],[1,6,7,8,10,11,13],[2,3,7,9,10,11,14],[2,4,5,7,10,11,12],[2,4,6,7,8,9,13],[2,4,6,10,11,12,13],[2,5,6,8,9,10,14],[2,5,8,9,12,13,14],[2,6,7,8,11,12,14],[3,4,5,6,12,13,14],[3,4,5,7,8,11,14],[3,4,7,8,10,13,14],[3,4,8,9,11,12,13],[3,5,6,7,9,10,12],[3,5,6,9,10,11,13]]; G[323]:=Group([(1,2,3)(4,9,8)(5,7,12)(6,13,11)]); # Design 324: autom. group order 3, simple, residual B[324]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,6,8,9,11],[1,4,6,9,10,12,14],[1,4,7,8,12,13,14],[1,5,7,8,11,13,14],[1,5,7,9,10,11,12],[1,6,7,9,10,11,13],[2,3,7,9,10,11,14],[2,4,5,9,11,12,14],[2,4,6,7,8,9,13],[2,4,6,7,11,12,14],[2,5,6,7,8,10,12],[2,5,8,9,10,13,14],[2,6,8,10,11,12,13],[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[324]:=Group([(1,2,3)(4,9,8)(5,7,12)(6,13,11)]); # Design 325: autom. group order 3, simple, residual B[325]:=[[1,2,3,4,5,6,7],[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],[1,2,4,5,10,12,14],[1,3,6,7,11,12,14],[1,4,5,6,8,13,14],[1,4,6,7,8,9,12],[1,4,7,9,11,13,14],[1,5,7,9,10,12,13],[1,5,8,9,10,11,13],[1,6,8,10,11,12,14],[2,3,8,9,12,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,11,12],[2,4,7,8,9,11,14],[2,5,6,7,8,11,13],[2,5,6,7,9,10,14],[2,6,7,8,10,12,13],[3,4,5,6,9,12,13],[3,4,5,7,8,10,11],[3,4,6,8,10,13,14],[3,4,7,10,11,12,13],[3,5,6,9,10,11,14],[3,5,7,8,9,12,14]]; G[325]:=Group([(1,2,3)(4,9,6)(5,8,11)(7,10,13)]); # Design 326: autom. group order 3, simple, residual B[326]:=[[1,2,3,4,5,6,7],[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],[1,2,4,5,10,12,14],[1,3,6,7,11,12,14],[1,4,5,6,9,12,13],[1,4,6,7,8,13,14],[1,4,8,9,11,13,14],[1,5,7,8,9,10,11],[1,5,7,9,10,12,13],[1,6,8,10,11,12,14],[2,3,8,9,12,13,14],[2,4,5,11,12,13,14],[2,4,6,7,8,9,12],[2,4,7,9,10,11,14],[2,5,6,7,9,11,14],[2,5,6,8,10,11,13],[2,6,7,8,10,12,13],[3,4,5,6,8,10,14],[3,4,5,7,8,11,13],[3,4,6,9,10,11,12],[3,4,7,10,11,12,13],[3,5,6,9,10,13,14],[3,5,7,8,9,12,14]]; G[326]:=Group([(1,2,3)(4,9,6)(5,8,11)(7,10,13)]); # Design 327: autom. group order 3, simple, residual B[327]:=[[1,2,3,4,5,6,7],[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],[1,2,4,5,10,11,14],[1,3,6,7,9,10,14],[1,4,5,6,12,13,14],[1,4,6,8,9,11,12],[1,4,7,8,10,13,14],[1,5,7,8,9,11,14],[1,5,7,8,10,12,13],[1,6,9,10,11,12,13],[2,3,8,10,12,13,14],[2,4,5,9,12,13,14],[2,4,6,7,10,11,13],[2,4,7,8,9,11,13],[2,5,6,7,9,10,12],[2,5,6,8,9,10,14],[2,6,7,8,11,12,14],[3,4,5,6,8,9,13],[3,4,5,7,10,11,12],[3,4,6,7,8,12,14],[3,4,9,10,11,12,14],[3,5,6,8,10,11,13],[3,5,7,9,11,13,14]]; G[327]:=Group([(1,2,3)(4,8,9)(5,12,7)(6,11,13)]); # Design 328: autom. group order 3, simple, residual B[328]:=[[1,2,3,4,5,6,7],[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],[1,3,6,7,9,10,14],[1,4,5,6,11,13,14],[1,4,6,8,9,12,14],[1,4,7,10,11,13,14],[1,5,7,8,9,10,11],[1,5,7,8,9,12,13],[1,6,8,10,11,12,13],[2,3,8,10,11,13,14],[2,4,5,8,9,13,14],[2,4,6,9,10,11,12],[2,4,7,9,11,12,13],[2,5,6,7,8,11,14],[2,5,6,7,9,10,13],[2,6,7,8,10,12,14],[3,4,5,6,8,10,13],[3,4,5,7,10,11,12],[3,4,6,7,8,12,13],[3,4,7,8,9,11,14],[3,5,6,9,11,12,14],[3,5,9,10,12,13,14]]; G[328]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 329: autom. group order 3, simple, residual B[329]:=[[1,2,3,4,5,6,7],[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],[1,2,4,5,10,11,14],[1,3,6,7,9,10,14],[1,4,5,6,12,13,14],[1,4,6,8,9,11,12],[1,4,7,8,10,13,14],[1,5,7,9,10,11,12],[1,5,8,9,12,13,14],[1,6,7,8,10,11,13],[2,3,8,10,12,13,14],[2,4,5,7,10,12,13],[2,4,6,7,9,12,14],[2,4,7,8,9,11,13],[2,5,6,8,9,10,14],[2,5,6,9,10,11,13],[2,6,7,8,11,12,14],[3,4,5,6,8,9,13],[3,4,5,7,8,11,14],[3,4,6,10,11,12,13],[3,4,9,10,11,12,14],[3,5,6,7,8,10,12],[3,5,7,9,11,13,14]]; G[329]:=Group([(1,2,3)(4,8,9)(5,12,7)(6,11,13)]); # Design 330: autom. group order 3, simple, residual B[330]:=[[1,2,3,4,5,6,7],[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],[1,2,4,5,10,12,14],[1,3,6,7,11,12,14],[1,4,5,6,9,13,14],[1,4,6,8,10,12,13],[1,4,7,8,9,11,12],[1,5,7,9,12,13,14],[1,5,8,9,10,11,14],[1,6,7,8,10,11,13],[2,3,8,9,12,13,14],[2,4,5,7,10,11,13],[2,4,6,7,8,9,14],[2,4,7,9,11,12,13],[2,5,6,8,11,13,14],[2,5,6,9,10,11,12],[2,6,7,8,10,12,14],[3,4,5,6,8,12,13],[3,4,5,7,8,11,14],[3,4,6,9,10,11,14],[3,4,10,11,12,13,14],[3,5,6,7,9,10,12],[3,5,7,8,9,10,13]]; G[330]:=Group([(1,2,3)(4,9,6)(5,8,11)(7,10,13)]); # Design 331: autom. group order 3, simple, residual B[331]:=[[1,2,3,4,5,6,7],[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],[1,3,6,7,9,10,14],[1,4,5,6,10,11,13],[1,4,6,8,9,12,13],[1,4,7,10,11,12,13],[1,5,7,8,9,10,14],[1,5,8,9,11,13,14],[1,6,7,8,11,12,14],[2,3,8,10,11,13,14],[2,4,5,7,8,9,13],[2,4,6,7,9,11,14],[2,4,9,10,11,12,14],[2,5,6,7,8,10,11],[2,5,6,9,12,13,14],[2,6,7,8,10,12,13],[3,4,5,6,8,12,14],[3,4,5,7,11,13,14],[3,4,6,8,10,13,14],[3,4,7,8,9,11,12],[3,5,6,9,10,11,12],[3,5,7,9,10,12,13]]; G[331]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 332: autom. group order 3, simple, residual B[332]:=[[1,2,3,4,5,6,7],[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],[1,2,4,5,10,12,14],[1,3,6,7,11,12,14],[1,4,5,6,9,13,14],[1,4,6,8,11,12,13],[1,4,7,8,9,12,13],[1,5,7,9,10,11,13],[1,5,8,9,10,11,14],[1,6,7,8,10,12,14],[2,3,8,9,12,13,14],[2,4,5,7,9,11,12],[2,4,6,7,8,9,14],[2,4,10,11,12,13,14],[2,5,6,7,8,10,13],[2,5,6,8,11,13,14],[2,6,7,9,10,11,12],[3,4,5,6,10,12,13],[3,4,5,7,8,11,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,13],[3,5,6,8,9,10,12],[3,5,7,9,12,13,14]]; G[332]:=Group([(1,2,3)(4,9,6)(5,8,11)(7,10,13)]); # Design 333: autom. group order 3, simple, residual B[333]:=[[1,2,3,4,5,6,7],[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],[1,2,4,5,9,12,14],[1,3,6,7,11,12,14],[1,4,5,6,8,11,13],[1,4,6,8,10,13,14],[1,4,7,9,10,11,12],[1,5,7,8,9,10,14],[1,5,10,11,12,13,14],[1,6,7,8,9,12,13],[2,3,8,10,12,13,14],[2,4,5,7,10,12,13],[2,4,6,9,11,12,13],[2,4,7,8,11,13,14],[2,5,6,7,8,12,14],[2,5,6,8,9,10,11],[2,6,7,9,10,11,14],[3,4,5,6,10,11,14],[3,4,5,7,9,13,14],[3,4,6,7,8,10,12],[3,4,8,9,11,12,14],[3,5,6,9,10,12,13],[3,5,7,8,9,11,13]]; G[333]:=Group([(1,2,3)(4,10,7)(5,8,11)(6,9,13)]); # Design 334: autom. group order 3, simple, residual B[334]:=[[1,2,3,4,5,6,7],[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],[1,3,6,10,11,12,14],[1,4,5,6,7,9,12],[1,4,6,8,10,13,14],[1,4,7,8,9,11,14],[1,5,7,9,10,12,13],[1,5,8,9,10,11,13],[1,6,7,8,11,12,14],[2,3,7,8,9,12,14],[2,4,5,10,11,12,14],[2,4,6,8,9,10,12],[2,4,7,9,11,13,14],[2,5,6,7,8,11,13],[2,5,6,9,10,11,14],[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[334]:=Group([(1,2,3)(4,9,6)(5,8,11)(7,10,13)]); # Design 335: autom. group order 3, simple, residual B[335]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,6,7,10,14],[1,4,6,9,11,12,14],[1,4,7,8,9,12,13],[1,5,7,9,10,11,12],[1,5,8,10,11,13,14],[1,6,7,8,9,11,13],[2,3,7,9,11,12,14],[2,4,5,8,9,11,14],[2,4,6,8,10,11,12],[2,4,7,10,11,13,14],[2,5,6,7,9,10,12],[2,5,6,8,9,10,13],[2,6,7,8,12,13,14],[3,4,5,6,9,11,13],[3,4,5,7,8,12,13],[3,4,6,10,11,12,13],[3,4,7,8,9,10,14],[3,5,6,7,8,11,14],[3,5,9,10,12,13,14]]; G[335]:=Group([(1,2,3)(4,7,10)(5,11,8)(6,13,9)]); # Design 336: autom. group order 3, simple, residual B[336]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,6,7,11,14],[1,4,6,8,9,12,13],[1,4,9,10,11,12,14],[1,5,7,8,9,13,14],[1,5,7,9,10,11,12],[1,6,7,8,10,11,13],[2,3,7,9,10,11,14],[2,4,5,8,9,11,13],[2,4,6,10,11,12,13],[2,4,7,8,11,12,14],[2,5,6,7,8,10,12],[2,5,6,8,9,10,14],[2,6,7,9,12,13,14],[3,4,5,6,9,12,14],[3,4,5,7,10,12,13],[3,4,6,7,8,9,11],[3,4,7,8,10,13,14],[3,5,6,9,10,11,13],[3,5,8,11,12,13,14]]; G[336]:=Group([(1,2,3)(4,9,8)(5,7,12)(6,13,11)]); # Design 337: autom. group order 3, simple B[337]:=[[1,2,3,4,5,6,7],[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],[1,4,6,7,10,11,14],[1,4,7,9,10,11,13],[1,5,7,8,10,11,12],[1,5,7,8,12,13,14],[1,6,8,9,11,13,14],[2,3,7,8,10,11,13],[2,4,5,8,9,11,14],[2,4,6,8,10,12,13],[2,4,7,9,12,13,14],[2,5,6,7,9,11,13],[2,5,6,9,10,11,12],[2,6,7,8,10,12,14],[3,4,5,6,7,8,13],[3,4,5,10,11,12,14],[3,4,6,11,12,13,14],[3,4,7,8,9,11,12],[3,5,6,7,9,10,14],[3,5,8,9,10,13,14]]; G[337]:=Group([(1,2,3)(4,8,9)(5,11,12)(6,14,7)]); # Design 338: autom. group order 3, simple, residual B[338]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,12,14],[1,4,5,6,11,12,14],[1,4,6,7,8,9,14],[1,4,7,10,11,13,14],[1,5,7,8,9,10,11],[1,5,7,8,9,12,13],[1,6,8,10,11,12,13],[2,3,7,8,10,11,14],[2,4,5,8,9,12,14],[2,4,6,9,10,11,12],[2,4,7,9,11,12,13],[2,5,6,7,9,10,13],[2,5,6,8,11,13,14],[2,6,7,8,10,12,14],[3,4,5,6,8,10,13],[3,4,5,7,10,11,12],[3,4,6,7,8,12,13],[3,4,8,9,11,13,14],[3,5,6,7,9,11,14],[3,5,9,10,12,13,14]]; G[338]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 339: autom. group order 3, simple, residual B[339]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,6,8,9,11],[1,4,6,7,10,11,12],[1,4,7,9,11,13,14],[1,5,7,8,9,12,14],[1,5,7,8,10,13,14],[1,6,9,10,11,12,13],[2,3,7,9,11,12,14],[2,4,5,9,10,11,14],[2,4,6,8,9,12,13],[2,4,7,8,10,12,13],[2,5,6,7,8,11,13],[2,5,6,10,11,12,14],[2,6,7,8,9,10,14],[3,4,5,6,10,13,14],[3,4,5,7,9,10,12],[3,4,6,7,8,11,14],[3,4,8,11,12,13,14],[3,5,6,7,9,12,13],[3,5,8,9,10,11,13]]; G[339]:=Group([(1,2,3)(4,7,10)(5,11,8)(6,13,9)]); # Design 340: autom. group order 3, simple, residual B[340]:=[[1,2,3,4,5,6,7],[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],[1,4,6,7,9,11,13],[1,4,7,8,10,12,13],[1,5,7,8,11,13,14],[1,5,9,10,11,12,14],[1,6,7,8,10,12,14],[2,3,7,8,10,11,13],[2,4,5,7,10,11,12],[2,4,6,8,12,13,14],[2,4,8,9,11,12,14],[2,5,6,7,9,10,14],[2,5,6,8,9,10,13],[2,6,7,9,11,12,13],[3,4,5,6,12,13,14],[3,4,5,7,8,9,12],[3,4,6,7,10,11,14],[3,4,9,10,11,13,14],[3,5,6,8,10,11,12],[3,5,7,8,9,13,14]]; G[340]:=Group([(1,2,3)(4,8,9)(5,11,12)(6,14,7)]); # Design 341: autom. group order 3, simple, residual B[341]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,6,8,9,11],[1,4,6,7,11,12,14],[1,4,7,8,12,13,14],[1,5,7,9,10,11,12],[1,5,8,9,10,13,14],[1,6,7,9,10,11,13],[2,3,7,9,10,11,14],[2,4,5,9,11,12,14],[2,4,6,7,8,9,13],[2,4,7,8,10,11,14],[2,5,6,7,8,10,12],[2,5,6,9,12,13,14],[2,6,8,10,11,12,13],[3,4,5,6,10,11,13],[3,4,5,7,10,12,13],[3,4,6,9,10,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,14],[3,5,7,8,11,13,14]]; G[341]:=Group([(1,2,3)(4,9,8)(5,7,12)(6,13,11)]); # Design 342: autom. group order 3, simple B[342]:=[[1,2,3,4,5,6,7],[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],[1,3,6,10,11,12,14],[1,4,5,6,9,12,13],[1,4,6,7,8,11,14],[1,4,8,9,10,13,14],[1,5,7,8,9,10,11],[1,5,7,9,11,12,14],[1,6,7,8,10,12,13],[2,3,7,8,9,12,14],[2,4,5,9,10,11,14],[2,4,6,7,8,9,12],[2,4,7,10,11,12,13],[2,5,6,8,10,11,13],[2,5,6,8,10,12,14],[2,6,7,9,11,13,14],[3,4,5,6,7,10,14],[3,4,5,7,8,11,13],[3,4,6,9,10,11,12],[3,4,8,11,12,13,14],[3,5,6,8,9,13,14],[3,5,7,9,10,12,13]]; G[342]:=Group([(1,2,3)(4,9,6)(5,8,11)(7,10,13)]); # Design 343: autom. group order 3, simple, residual B[343]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,6,8,9,11],[1,4,6,10,11,13,14],[1,4,7,9,10,11,12],[1,5,7,8,9,12,14],[1,5,7,8,10,13,14],[1,6,7,9,11,12,13],[2,3,7,9,11,12,14],[2,4,5,9,10,11,14],[2,4,6,7,8,10,12],[2,4,7,8,9,13,14],[2,5,6,7,8,11,13],[2,5,6,10,11,12,14],[2,6,8,9,10,12,13],[3,4,5,6,9,12,13],[3,4,5,7,10,12,13],[3,4,6,7,8,11,14],[3,4,8,11,12,13,14],[3,5,6,7,9,10,14],[3,5,8,9,10,11,13]]; G[343]:=Group([(1,2,3)(4,7,10)(5,11,8)(6,13,9)]); # Design 344: autom. group order 3, simple B[344]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,6,8,9,11],[1,4,6,9,11,12,13],[1,4,7,10,11,12,13],[1,5,7,8,9,12,14],[1,5,7,9,10,11,14],[1,6,7,8,10,13,14],[2,3,7,9,11,12,14],[2,4,5,9,10,13,14],[2,4,6,8,10,11,14],[2,4,7,8,9,10,12],[2,5,6,7,8,11,13],[2,5,6,10,11,12,14],[2,6,7,8,9,12,13],[3,4,5,6,7,10,12],[3,4,5,7,8,13,14],[3,4,6,7,9,11,14],[3,4,8,11,12,13,14],[3,5,6,9,10,12,13],[3,5,8,9,10,11,13]]; G[344]:=Group([(1,2,3)(4,7,10)(5,11,8)(6,13,9)]); # Design 345: autom. group order 3, simple B[345]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,6,8,9,11],[1,4,6,9,11,12,13],[1,4,7,10,11,12,13],[1,5,7,8,9,12,14],[1,5,7,9,10,13,14],[1,6,7,8,10,11,14],[2,3,7,9,11,12,14],[2,4,5,8,10,13,14],[2,4,6,9,10,11,14],[2,4,7,8,9,10,12],[2,5,6,7,8,11,13],[2,5,6,10,11,12,14],[2,6,7,8,9,12,13],[3,4,5,6,7,10,12],[3,4,5,7,9,11,14],[3,4,6,7,8,13,14],[3,4,8,11,12,13,14],[3,5,6,9,10,12,13],[3,5,8,9,10,11,13]]; G[345]:=Group([(1,2,3)(4,7,10)(5,11,8)(6,13,9)]); # Design 346: autom. group order 3, simple, residual B[346]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,6,8,9,11],[1,4,6,9,11,12,13],[1,4,7,10,11,12,13],[1,5,7,8,9,12,14],[1,5,7,8,10,13,14],[1,6,7,9,10,11,14],[2,3,7,9,11,12,14],[2,4,5,9,10,11,14],[2,4,6,8,10,13,14],[2,4,7,8,9,10,12],[2,5,6,7,8,11,13],[2,5,6,10,11,12,14],[2,6,7,8,9,12,13],[3,4,5,6,7,10,12],[3,4,5,7,9,13,14],[3,4,6,7,8,11,14],[3,4,8,11,12,13,14],[3,5,6,9,10,12,13],[3,5,8,9,10,11,13]]; G[346]:=Group([(1,2,3)(4,7,10)(5,11,8)(6,13,9)]); # Design 347: autom. group order 3, simple, residual B[347]:=[[1,2,3,4,5,6,7],[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],[1,3,6,10,11,12,14],[1,4,5,7,8,11,13],[1,4,6,7,8,10,14],[1,4,6,7,9,11,12],[1,5,6,8,9,10,14],[1,5,8,9,12,13,14],[1,7,9,10,11,12,13],[2,3,7,8,9,12,14],[2,4,5,6,9,10,12],[2,4,6,8,11,13,14],[2,4,9,10,11,13,14],[2,5,6,7,10,12,13],[2,5,7,8,9,10,11],[2,6,7,8,11,12,14],[3,4,5,7,9,11,14],[3,4,5,10,11,12,14],[3,4,6,8,9,12,13],[3,4,7,8,10,12,13],[3,5,6,7,9,13,14],[3,5,6,8,10,11,13]]; G[347]:=Group([(1,2,3)(4,9,6)(5,8,11)(7,10,13)]); # Design 348: autom. group order 3, simple, residual B[348]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,7,9,10,12],[1,4,6,7,8,11,14],[1,4,6,10,11,13,14],[1,5,6,7,9,12,13],[1,5,8,9,10,11,13],[1,7,8,9,11,12,14],[2,3,7,9,11,12,14],[2,4,5,6,8,9,11],[2,4,6,7,10,11,12],[2,4,7,8,9,13,14],[2,5,6,8,10,12,14],[2,5,7,8,10,13,14],[2,6,9,10,11,12,13],[3,4,5,9,10,11,14],[3,4,5,11,12,13,14],[3,4,6,8,9,12,13],[3,4,7,8,10,12,13],[3,5,6,7,8,11,13],[3,5,6,7,9,10,14]]; G[348]:=Group([(1,2,3)(4,7,10)(5,11,8)(6,13,9)]); # Design 349: autom. group order 3, simple, residual B[349]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,12,14],[1,4,5,7,8,9,14],[1,4,6,7,8,12,13],[1,4,6,8,10,11,12],[1,5,6,7,9,11,14],[1,5,9,10,11,12,13],[1,7,8,10,11,13,14],[2,3,7,8,10,11,14],[2,4,5,6,11,12,14],[2,4,6,7,10,11,13],[2,4,8,9,11,12,14],[2,5,6,8,9,10,13],[2,5,7,8,9,12,13],[2,6,7,9,10,12,14],[3,4,5,7,9,10,11],[3,4,5,10,12,13,14],[3,4,6,8,9,13,14],[3,4,7,9,11,12,13],[3,5,6,7,8,10,12],[3,5,6,8,11,13,14]]; G[349]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 350: autom. group order 3, simple, residual B[350]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,7,9,10,12],[1,4,6,7,8,13,14],[1,4,6,9,11,12,13],[1,5,6,7,10,11,14],[1,5,8,9,10,11,13],[1,7,8,9,11,12,14],[2,3,7,9,11,12,14],[2,4,5,6,8,9,11],[2,4,6,7,10,11,12],[2,4,8,10,11,13,14],[2,5,6,8,10,12,14],[2,5,7,9,10,13,14],[2,6,7,8,9,12,13],[3,4,5,7,8,9,14],[3,4,5,11,12,13,14],[3,4,6,9,10,11,14],[3,4,7,8,10,12,13],[3,5,6,7,8,11,13],[3,5,6,9,10,12,13]]; G[350]:=Group([(1,2,3)(4,7,10)(5,11,8)(6,13,9)]); # Design 351: autom. group order 3, simple, residual B[351]:=[[1,2,3,4,5,6,7],[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],[1,3,6,10,11,12,14],[1,4,5,7,8,11,14],[1,4,6,7,9,11,14],[1,4,6,8,10,12,13],[1,5,6,7,8,9,12],[1,5,9,10,12,13,14],[1,7,8,9,10,11,13],[2,3,7,8,9,12,14],[2,4,5,6,9,10,14],[2,4,6,8,10,11,12],[2,4,7,9,11,12,13],[2,5,6,7,10,11,13],[2,5,8,9,10,11,14],[2,6,7,8,12,13,14],[3,4,5,7,8,10,13],[3,4,5,9,11,12,13],[3,4,6,8,9,13,14],[3,4,7,10,11,12,14],[3,5,6,7,9,10,12],[3,5,6,8,11,13,14]]; G[351]:=Group([(1,2,3)(4,9,6)(5,8,11)(7,10,13)]); # Design 352: autom. group order 3, simple, residual B[352]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,12,14],[1,4,5,8,9,13,14],[1,4,6,7,8,10,11],[1,4,6,7,8,12,13],[1,5,6,7,9,11,14],[1,5,7,9,10,11,12],[1,8,10,11,12,13,14],[2,3,7,8,10,11,14],[2,4,5,6,11,12,14],[2,4,6,10,11,12,13],[2,4,7,8,9,11,14],[2,5,6,8,9,10,12],[2,5,7,8,9,12,13],[2,6,7,9,10,13,14],[3,4,5,7,10,12,14],[3,4,5,9,10,11,13],[3,4,6,8,9,12,14],[3,4,7,9,11,12,13],[3,5,6,7,8,10,13],[3,5,6,8,11,13,14]]; G[352]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 353: autom. group order 3, simple B[353]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,8,11,13,14],[1,4,6,7,9,11,12],[1,4,6,7,10,11,14],[1,5,6,7,8,9,13],[1,5,7,8,9,10,12],[1,9,10,11,12,13,14],[2,3,7,9,11,12,14],[2,4,5,6,10,11,12],[2,4,6,8,9,12,14],[2,4,7,8,10,13,14],[2,5,6,9,10,11,13],[2,5,7,8,9,11,14],[2,6,7,8,10,12,13],[3,4,5,7,9,10,14],[3,4,5,9,10,12,13],[3,4,6,8,9,11,13],[3,4,7,8,11,12,13],[3,5,6,7,12,13,14],[3,5,6,8,10,11,14]]; G[353]:=Group([(1,2,3)(4,7,10)(5,11,8)(6,13,9)]); # Design 354: autom. group order 3, simple, residual B[354]:=[[1,2,3,4,5,6,7],[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],[1,3,6,10,11,12,14],[1,4,5,8,10,11,13],[1,4,6,7,8,13,14],[1,4,6,7,9,11,12],[1,5,6,7,8,9,14],[1,5,8,9,10,12,14],[1,7,9,10,11,12,13],[2,3,7,8,9,12,14],[2,4,5,6,9,10,12],[2,4,6,8,10,11,14],[2,4,7,9,10,11,14],[2,5,6,7,10,12,13],[2,5,7,8,9,11,13],[2,6,8,11,12,13,14],[3,4,5,7,11,12,14],[3,4,5,9,11,13,14],[3,4,6,8,9,12,13],[3,4,7,8,10,12,13],[3,5,6,7,8,10,11],[3,5,6,9,10,13,14]]; G[354]:=Group([(1,2,3)(4,9,6)(5,8,11)(7,10,13)]); # Design 355: autom. group order 3, simple, residual B[355]:=[[1,2,3,4,5,6,7],[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],[1,3,6,10,11,12,14],[1,4,5,8,11,13,14],[1,4,6,7,8,10,12],[1,4,6,7,9,11,14],[1,5,6,8,9,12,13],[1,5,7,9,10,12,14],[1,7,8,9,10,11,13],[2,3,7,8,9,12,14],[2,4,5,6,9,10,14],[2,4,6,7,8,11,12],[2,4,9,10,11,12,13],[2,5,6,7,10,11,13],[2,5,7,8,9,11,14],[2,6,8,10,12,13,14],[3,4,5,7,8,10,13],[3,4,5,9,10,11,12],[3,4,6,8,9,13,14],[3,4,7,11,12,13,14],[3,5,6,7,9,12,13],[3,5,6,8,10,11,14]]; G[355]:=Group([(1,2,3)(4,9,6)(5,8,11)(7,10,13)]); # Design 356: autom. group order 3, simple, residual B[356]:=[[1,2,3,4,5,6,7],[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],[1,3,6,10,11,12,14],[1,4,5,8,10,11,14],[1,4,6,7,8,12,13],[1,4,6,7,9,11,14],[1,5,6,8,9,10,12],[1,5,7,9,12,13,14],[1,7,8,9,10,11,13],[2,3,7,8,9,12,14],[2,4,5,6,9,10,14],[2,4,6,8,11,12,13],[2,4,7,9,10,11,12],[2,5,6,7,10,11,13],[2,5,8,9,11,13,14],[2,6,7,8,10,12,14],[3,4,5,7,8,10,13],[3,4,5,7,9,11,12],[3,4,6,8,9,13,14],[3,4,10,11,12,13,14],[3,5,6,7,8,11,14],[3,5,6,9,10,12,13]]; G[356]:=Group([(1,2,3)(4,9,6)(5,8,11)(7,10,13)]); # Design 357: autom. group order 3, simple, residual B[357]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,8,9,13,14],[1,4,6,7,8,11,13],[1,4,6,7,9,10,12],[1,5,6,9,10,11,14],[1,5,7,9,11,12,14],[1,7,8,10,11,12,13],[2,3,7,9,10,11,14],[2,4,5,6,10,11,12],[2,4,6,9,11,12,13],[2,4,7,8,9,11,14],[2,5,6,7,8,12,14],[2,5,8,9,10,12,13],[2,6,7,8,10,13,14],[3,4,5,7,8,10,11],[3,4,5,7,12,13,14],[3,4,6,8,9,12,14],[3,4,10,11,12,13,14],[3,5,6,7,9,10,13],[3,5,6,8,9,11,13]]; G[357]:=Group([(1,2,3)(4,9,8)(5,7,12)(6,13,11)]); # Design 358: autom. group order 3, simple, residual B[358]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,8,9,11,13],[1,4,6,7,10,11,13],[1,4,6,9,10,12,14],[1,5,6,7,8,9,14],[1,5,7,9,10,11,12],[1,7,8,11,12,13,14],[2,3,7,9,10,11,14],[2,4,5,6,11,12,14],[2,4,6,7,8,9,11],[2,4,7,8,12,13,14],[2,5,6,7,8,10,12],[2,5,8,9,10,13,14],[2,6,9,10,11,12,13],[3,4,5,7,10,12,13],[3,4,5,9,11,12,14],[3,4,6,8,9,12,13],[3,4,7,8,10,11,14],[3,5,6,7,9,13,14],[3,5,6,8,10,11,13]]; G[358]:=Group([(1,2,3)(4,9,8)(5,7,12)(6,13,11)]); # Design 359: autom. group order 3, simple, residual B[359]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,12,14],[1,4,5,8,9,12,14],[1,4,6,7,8,12,13],[1,4,6,8,10,11,13],[1,5,6,7,9,11,14],[1,5,7,9,10,11,13],[1,7,8,10,11,12,14],[2,3,7,8,10,11,14],[2,4,5,6,11,12,14],[2,4,6,7,10,11,12],[2,4,8,9,11,13,14],[2,5,6,7,8,9,10],[2,5,7,8,9,12,13],[2,6,9,10,12,13,14],[3,4,5,7,10,13,14],[3,4,5,9,10,11,12],[3,4,6,7,8,9,14],[3,4,7,9,11,12,13],[3,5,6,8,10,12,13],[3,5,6,8,11,13,14]]; G[359]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 360: autom. group order 3, simple B[360]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,8,9,11,13],[1,4,6,7,10,11,12],[1,4,6,9,11,12,13],[1,5,6,7,8,12,14],[1,5,7,9,10,11,14],[1,7,8,9,10,13,14],[2,3,7,9,11,12,14],[2,4,5,6,9,10,14],[2,4,6,8,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,8,9,11],[2,5,10,11,12,13,14],[2,6,7,8,9,12,13],[3,4,5,7,8,13,14],[3,4,5,7,9,10,12],[3,4,6,7,11,13,14],[3,4,8,9,11,12,14],[3,5,6,8,10,11,13],[3,5,6,9,10,12,13]]; G[360]:=Group([(1,2,3)(4,7,10)(5,11,8)(6,13,9)]); # Design 361: autom. group order 3, simple, residual B[361]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,12,14],[1,4,5,7,8,9,13],[1,4,6,7,11,12,14],[1,4,6,8,11,13,14],[1,5,6,7,9,10,11],[1,5,8,9,10,12,14],[1,7,8,10,11,12,13],[2,3,7,8,10,11,14],[2,4,5,6,10,11,12],[2,4,7,8,9,11,12],[2,4,9,10,11,13,14],[2,5,6,7,8,9,14],[2,5,6,8,12,13,14],[2,6,7,9,10,12,13],[3,4,5,7,10,12,13],[3,4,5,9,11,12,14],[3,4,6,7,8,10,14],[3,4,6,8,9,12,13],[3,5,6,8,10,11,13],[3,5,7,9,11,13,14]]; G[361]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 362: autom. group order 3, simple, residual B[362]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,12,14],[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],[1,7,8,10,11,12,13],[2,3,7,8,10,11,14],[2,4,5,6,10,11,12],[2,4,7,9,10,11,14],[2,4,8,9,11,12,13],[2,5,6,7,8,13,14],[2,5,6,8,9,12,14],[2,6,7,9,10,12,13],[3,4,5,7,10,12,13],[3,4,5,9,11,13,14],[3,4,6,7,8,9,13],[3,4,6,8,10,12,14],[3,5,6,8,10,11,13],[3,5,7,9,11,12,14]]; G[362]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 363: autom. group order 3, simple, residual B[363]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,7,10,13,14],[1,4,6,7,9,11,12],[1,4,6,8,9,11,13],[1,5,6,7,10,11,12],[1,5,8,9,10,11,14],[1,7,8,9,12,13,14],[2,3,7,9,11,12,14],[2,4,5,6,8,11,14],[2,4,7,9,10,11,14],[2,4,8,10,11,12,13],[2,5,6,7,8,9,13],[2,5,6,9,10,12,14],[2,6,7,8,10,12,13],[3,4,5,7,8,9,12],[3,4,5,9,10,12,13],[3,4,6,7,8,10,14],[3,4,6,11,12,13,14],[3,5,6,9,10,11,13],[3,5,7,8,11,13,14]]; G[363]:=Group([(1,2,3)(4,7,10)(5,11,8)(6,13,9)]); # Design 364: autom. group order 3, simple, residual B[364]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,7,9,11,12],[1,4,6,7,10,11,14],[1,4,6,8,9,11,13],[1,5,6,7,10,12,13],[1,5,8,9,10,11,14],[1,7,8,9,12,13,14],[2,3,7,9,11,12,14],[2,4,5,6,8,11,14],[2,4,7,8,10,13,14],[2,4,9,10,11,12,13],[2,5,6,7,8,9,13],[2,5,6,9,10,12,14],[2,6,7,8,10,11,12],[3,4,5,7,9,10,14],[3,4,5,8,10,12,13],[3,4,6,7,8,9,12],[3,4,6,11,12,13,14],[3,5,6,9,10,11,13],[3,5,7,8,11,13,14]]; G[364]:=Group([(1,2,3)(4,7,10)(5,11,8)(6,13,9)]); # Design 365: autom. group order 3, simple, residual B[365]:=[[1,2,3,4,5,6,7],[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],[1,4,6,7,11,13,14],[1,4,6,8,9,11,13],[1,5,6,8,9,10,14],[1,5,7,8,10,12,14],[1,7,9,10,11,12,13],[2,3,7,8,10,11,13],[2,4,5,6,10,12,13],[2,4,7,9,10,11,14],[2,4,8,9,12,13,14],[2,5,6,7,9,10,11],[2,5,6,8,9,11,12],[2,6,7,8,12,13,14],[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],[3,5,6,7,9,13,14],[3,5,8,10,11,13,14]]; G[365]:=Group([(1,2,3)(4,8,9)(5,11,12)(6,14,7)]); # Design 366: autom. group order 3, simple, residual B[366]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,7,10,13,14],[1,4,6,8,9,11,13],[1,4,6,9,11,12,14],[1,5,6,7,10,11,12],[1,5,7,8,9,11,14],[1,7,8,9,10,12,13],[2,3,7,9,11,12,14],[2,4,5,6,9,10,12],[2,4,7,9,10,11,14],[2,4,8,10,11,12,13],[2,5,6,7,8,9,13],[2,5,6,8,10,11,14],[2,6,7,8,12,13,14],[3,4,5,7,8,9,12],[3,4,5,8,11,13,14],[3,4,6,7,8,10,14],[3,4,6,7,11,12,13],[3,5,6,9,10,11,13],[3,5,9,10,12,13,14]]; G[366]:=Group([(1,2,3)(4,7,10)(5,11,8)(6,13,9)]); # Design 367: autom. group order 3, simple, residual B[367]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,8,9,13,14],[1,4,6,7,10,11,14],[1,4,6,9,11,12,13],[1,5,6,7,8,9,10],[1,5,7,9,11,12,14],[1,7,8,10,11,12,13],[2,3,7,9,10,11,14],[2,4,5,6,10,11,12],[2,4,7,8,9,11,14],[2,4,7,8,10,12,13],[2,5,6,7,8,12,14],[2,5,6,8,9,11,13],[2,6,9,10,12,13,14],[3,4,5,7,12,13,14],[3,4,5,9,10,11,12],[3,4,6,7,8,11,13],[3,4,6,8,9,12,14],[3,5,6,7,9,10,13],[3,5,8,10,11,13,14]]; G[367]:=Group([(1,2,3)(4,9,8)(5,7,12)(6,13,11)]); # Design 368: autom. group order 3, simple, residual B[368]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,12,14],[1,4,5,8,9,12,13],[1,4,6,7,11,13,14],[1,4,6,8,11,12,14],[1,5,6,7,9,10,11],[1,5,7,8,9,10,14],[1,7,8,10,11,12,13],[2,3,7,8,10,11,14],[2,4,5,6,10,11,12],[2,4,7,8,9,11,13],[2,4,9,10,11,12,14],[2,5,6,7,8,12,14],[2,5,6,8,9,13,14],[2,6,7,9,10,12,13],[3,4,5,7,9,11,14],[3,4,5,7,10,12,13],[3,4,6,7,8,9,12],[3,4,6,8,10,13,14],[3,5,6,8,10,11,13],[3,5,9,11,12,13,14]]; G[368]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 369: autom. group order 3, simple, residual B[369]:=[[1,2,3,4,5,6,7],[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],[1,3,6,10,11,12,14],[1,4,5,7,8,11,13],[1,4,6,7,8,11,14],[1,4,6,8,9,10,12],[1,5,6,7,9,10,14],[1,5,8,9,12,13,14],[1,7,9,10,11,12,13],[2,3,7,8,9,12,14],[2,4,5,9,10,11,14],[2,4,6,8,10,13,14],[2,4,6,9,11,12,13],[2,5,6,7,10,12,13],[2,5,7,8,9,10,11],[2,6,7,8,11,12,14],[3,4,5,6,7,9,12],[3,4,5,10,11,12,14],[3,4,7,8,10,12,13],[3,4,7,9,11,13,14],[3,5,6,8,9,13,14],[3,5,6,8,10,11,13]]; G[369]:=Group([(1,2,3)(4,9,6)(5,8,11)(7,10,13)]); # Design 370: autom. group order 3, simple, residual B[370]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,7,9,10,12],[1,4,6,7,8,9,14],[1,4,6,9,11,12,13],[1,5,6,8,10,11,13],[1,5,7,9,10,11,14],[1,7,8,11,12,13,14],[2,3,7,9,11,12,14],[2,4,5,8,9,11,13],[2,4,6,7,10,11,12],[2,4,6,8,10,11,14],[2,5,6,7,10,13,14],[2,5,8,9,10,12,14],[2,6,7,8,9,12,13],[3,4,5,6,11,12,14],[3,4,5,7,8,13,14],[3,4,7,8,10,12,13],[3,4,9,10,11,13,14],[3,5,6,7,8,9,11],[3,5,6,9,10,12,13]]; G[370]:=Group([(1,2,3)(4,7,10)(5,11,8)(6,13,9)]); # Design 371: autom. group order 3, simple, residual B[371]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,7,9,10,12],[1,4,6,7,8,11,14],[1,4,6,9,11,12,13],[1,5,6,8,10,11,13],[1,5,7,8,9,12,14],[1,7,9,10,11,13,14],[2,3,7,9,11,12,14],[2,4,5,8,9,11,13],[2,4,6,7,10,11,12],[2,4,6,8,9,10,14],[2,5,6,10,11,12,14],[2,5,7,8,10,13,14],[2,6,7,8,9,12,13],[3,4,5,6,7,13,14],[3,4,5,9,10,11,14],[3,4,7,8,10,12,13],[3,4,8,11,12,13,14],[3,5,6,7,8,9,11],[3,5,6,9,10,12,13]]; G[371]:=Group([(1,2,3)(4,7,10)(5,11,8)(6,13,9)]); # Design 372: autom. group order 3, simple B[372]:=[[1,2,3,4,5,6,7],[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],[1,3,6,10,11,12,14],[1,4,5,8,11,13,14],[1,4,6,7,8,9,14],[1,4,6,7,8,11,12],[1,5,6,7,9,10,12],[1,5,7,9,10,11,13],[1,8,9,10,12,13,14],[2,3,7,8,9,12,14],[2,4,5,9,10,11,12],[2,4,6,8,10,12,13],[2,4,6,9,10,11,14],[2,5,6,7,8,10,13],[2,5,7,8,9,11,14],[2,6,7,11,12,13,14],[3,4,5,6,9,13,14],[3,4,5,7,10,12,14],[3,4,7,8,10,11,13],[3,4,7,9,11,12,13],[3,5,6,8,9,12,13],[3,5,6,8,10,11,14]]; G[372]:=Group([(1,2,3)(4,9,6)(5,8,11)(7,10,13)]); # Design 373: autom. group order 3, simple, residual B[373]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,12,14],[1,4,5,9,10,11,12],[1,4,6,7,8,9,14],[1,4,6,7,8,12,13],[1,5,6,8,11,13,14],[1,5,7,9,10,11,13],[1,7,8,10,11,12,14],[2,3,7,8,10,11,14],[2,4,5,8,9,12,14],[2,4,6,7,10,11,12],[2,4,6,8,10,11,13],[2,5,6,7,9,11,14],[2,5,7,8,9,12,13],[2,6,9,10,12,13,14],[3,4,5,6,11,12,14],[3,4,5,7,10,13,14],[3,4,7,9,11,12,13],[3,4,8,9,11,13,14],[3,5,6,7,8,9,10],[3,5,6,8,10,12,13]]; G[373]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 374: autom. group order 3, simple, residual B[374]:=[[1,2,3,4,5,6,7],[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],[1,2,4,5,9,12,14],[1,3,6,7,11,12,14],[1,4,5,10,11,12,13],[1,4,6,7,8,10,14],[1,4,6,8,12,13,14],[1,5,6,9,10,11,13],[1,5,7,8,9,11,14],[1,7,8,9,10,12,13],[2,3,8,10,12,13,14],[2,4,5,8,11,13,14],[2,4,6,7,11,12,13],[2,4,7,9,10,11,14],[2,5,6,7,8,9,13],[2,5,6,7,8,10,12],[2,6,9,10,11,12,14],[3,4,5,6,9,10,12],[3,4,5,7,10,13,14],[3,4,6,8,9,11,13],[3,4,7,8,9,11,12],[3,5,6,8,10,11,14],[3,5,7,9,12,13,14]]; G[374]:=Group([(1,2,3)(4,10,7)(5,8,11)(6,9,13)]); # Design 375: autom. group order 3, simple B[375]:=[[1,2,3,4,5,6,7],[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],[1,2,4,5,10,12,14],[1,3,6,7,11,12,14],[1,4,5,9,11,12,13],[1,4,6,7,8,12,13],[1,4,6,8,9,13,14],[1,5,6,8,10,11,14],[1,5,7,9,10,11,13],[1,7,8,9,10,12,14],[2,3,8,9,12,13,14],[2,4,5,8,11,13,14],[2,4,6,7,9,11,14],[2,4,7,9,10,11,12],[2,5,6,7,8,9,12],[2,5,6,7,8,10,13],[2,6,10,11,12,13,14],[3,4,5,6,9,10,14],[3,4,5,7,12,13,14],[3,4,6,8,10,11,12],[3,4,7,8,10,11,13],[3,5,6,9,10,12,13],[3,5,7,8,9,11,14]]; G[375]:=Group([(1,2,3)(4,9,6)(5,8,11)(7,10,13)]); # Design 376: autom. group order 3, simple, residual B[376]:=[[1,2,3,4,5,6,7],[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],[1,4,6,7,8,12,13],[1,4,6,7,10,11,14],[1,5,6,9,10,11,12],[1,5,7,8,12,13,14],[1,8,9,10,11,13,14],[2,3,7,8,10,11,13],[2,4,5,10,11,12,14],[2,4,6,8,9,11,12],[2,4,7,9,10,12,13],[2,5,6,7,9,11,13],[2,5,6,8,9,13,14],[2,6,7,8,10,12,14],[3,4,5,6,8,10,13],[3,4,5,8,9,12,14],[3,4,6,11,12,13,14],[3,4,7,9,11,13,14],[3,5,6,7,9,10,14],[3,5,7,8,10,11,12]]; G[376]:=Group([(1,2,3)(4,8,9)(5,11,12)(6,14,7)]); # Design 377: autom. group order 3, simple, residual B[377]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,7,11,12,14],[1,4,6,7,8,11,13],[1,4,6,8,9,12,14],[1,5,6,7,9,10,11],[1,5,7,8,9,10,13],[1,9,10,11,12,13,14],[2,3,7,9,10,11,14],[2,4,5,8,9,13,14],[2,4,6,9,11,12,13],[2,4,7,8,10,11,12],[2,5,6,7,9,12,14],[2,5,6,8,10,11,14],[2,6,7,8,10,12,13],[3,4,5,6,9,10,12],[3,4,5,10,11,12,13],[3,4,6,7,10,13,14],[3,4,7,8,9,11,14],[3,5,6,8,9,11,13],[3,5,7,8,12,13,14]]; G[377]:=Group([(1,2,3)(4,9,8)(5,7,12)(6,13,11)]); # Design 378: autom. group order 3, simple, residual B[378]:=[[1,2,3,4,5,6,7],[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],[1,3,6,10,11,12,14],[1,4,5,7,9,11,14],[1,4,6,7,8,13,14],[1,4,6,8,9,10,12],[1,5,6,7,8,10,11],[1,5,8,9,12,13,14],[1,7,9,10,11,12,13],[2,3,7,8,9,12,14],[2,4,5,8,10,11,13],[2,4,6,9,11,12,13],[2,4,7,9,10,11,14],[2,5,6,7,10,12,13],[2,5,6,8,9,10,14],[2,6,7,8,11,12,14],[3,4,5,6,7,9,12],[3,4,5,10,11,12,14],[3,4,6,8,11,13,14],[3,4,7,8,10,12,13],[3,5,6,9,10,13,14],[3,5,7,8,9,11,13]]; G[378]:=Group([(1,2,3)(4,9,6)(5,8,11)(7,10,13)]); # Design 379: autom. group order 3, simple, residual B[379]:=[[1,2,3,4,5,6,7],[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],[1,3,6,10,11,12,14],[1,4,5,7,9,11,12],[1,4,6,7,8,9,14],[1,4,6,8,10,12,13],[1,5,6,7,8,11,14],[1,5,9,10,12,13,14],[1,7,8,9,10,11,13],[2,3,7,8,9,12,14],[2,4,5,8,10,11,14],[2,4,6,9,10,11,14],[2,4,7,9,11,12,13],[2,5,6,7,10,11,13],[2,5,6,8,9,10,12],[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[379]:=Group([(1,2,3)(4,9,6)(5,8,11)(7,10,13)]); # Design 380: autom. group order 3, simple, residual B[380]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,7,9,10,14],[1,4,6,7,9,11,12],[1,4,6,8,9,11,13],[1,5,6,8,10,11,14],[1,5,7,10,11,12,13],[1,7,8,9,12,13,14],[2,3,7,9,11,12,14],[2,4,5,8,11,13,14],[2,4,6,7,10,11,14],[2,4,8,9,10,11,12],[2,5,6,7,8,9,13],[2,5,6,9,10,12,14],[2,6,7,8,10,12,13],[3,4,5,6,7,8,12],[3,4,5,9,10,12,13],[3,4,6,11,12,13,14],[3,4,7,8,10,13,14],[3,5,6,9,10,11,13],[3,5,7,8,9,11,14]]; G[380]:=Group([(1,2,3)(4,7,10)(5,11,8)(6,13,9)]); # Design 381: autom. group order 3, simple, residual B[381]:=[[1,2,3,4,5,6,7],[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],[1,4,6,7,10,11,14],[1,4,6,8,9,11,12],[1,5,6,8,9,10,13],[1,5,7,8,12,13,14],[1,7,8,9,11,13,14],[2,3,7,8,10,11,13],[2,4,5,8,9,12,14],[2,4,6,7,9,12,13],[2,4,9,10,11,13,14],[2,5,6,7,9,11,13],[2,5,6,8,10,11,12],[2,6,7,8,10,12,14],[3,4,5,6,8,13,14],[3,4,5,7,8,9,11],[3,4,6,11,12,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,14],[3,5,9,10,11,12,14]]; G[381]:=Group([(1,2,3)(4,8,9)(5,11,12)(6,14,7)]); # Design 382: autom. group order 3, simple, residual B[382]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,12,14],[1,4,5,7,9,10,11],[1,4,6,7,8,9,14],[1,4,6,10,11,12,13],[1,5,6,8,11,12,14],[1,5,7,8,9,12,13],[1,7,8,10,11,13,14],[2,3,7,8,10,11,14],[2,4,5,8,9,12,14],[2,4,6,8,10,11,12],[2,4,7,9,11,12,13],[2,5,6,7,8,10,13],[2,5,6,9,11,13,14],[2,6,7,9,10,12,14],[3,4,5,6,7,11,14],[3,4,5,10,12,13,14],[3,4,6,7,8,12,13],[3,4,8,9,11,13,14],[3,5,6,8,9,10,13],[3,5,7,9,10,11,12]]; G[382]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 383: autom. group order 3, simple B[383]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,7,10,12,13],[1,4,6,9,10,11,14],[1,4,6,9,11,12,13],[1,5,6,7,8,9,11],[1,5,7,8,9,12,14],[1,7,8,10,11,13,14],[2,3,7,9,11,12,14],[2,4,5,8,9,10,14],[2,4,6,7,8,13,14],[2,4,7,9,10,11,12],[2,5,6,8,10,11,13],[2,5,6,10,11,12,14],[2,6,7,8,9,12,13],[3,4,5,6,7,11,14],[3,4,5,8,9,11,13],[3,4,6,7,8,10,12],[3,4,8,11,12,13,14],[3,5,6,9,10,12,13],[3,5,7,9,10,13,14]]; G[383]:=Group([(1,2,3)(4,7,10)(5,11,8)(6,13,9)]); # Design 384: autom. group order 3, simple B[384]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,7,10,13,14],[1,4,6,8,9,11,13],[1,4,6,9,11,12,14],[1,5,6,7,9,10,12],[1,5,7,8,9,11,14],[1,7,8,10,11,12,13],[2,3,7,9,11,12,14],[2,4,5,8,9,10,12],[2,4,6,10,11,12,13],[2,4,7,9,10,11,14],[2,5,6,7,8,9,13],[2,5,6,8,10,11,14],[2,6,7,8,12,13,14],[3,4,5,6,7,11,12],[3,4,5,8,11,13,14],[3,4,6,7,8,10,14],[3,4,7,8,9,12,13],[3,5,6,9,10,11,13],[3,5,9,10,12,13,14]]; G[384]:=Group([(1,2,3)(4,7,10)(5,11,8)(6,13,9)]); # Design 385: autom. group order 3, simple, residual B[385]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,8,9,13,14],[1,4,6,7,8,11,13],[1,4,6,7,10,11,12],[1,5,6,9,10,11,14],[1,5,7,9,11,12,14],[1,7,8,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,10,11,12],[2,4,6,9,11,12,13],[2,4,7,8,9,11,14],[2,5,6,7,8,12,14],[2,5,6,9,10,12,13],[2,6,7,8,10,13,14],[3,4,5,6,7,9,10],[3,4,5,7,12,13,14],[3,4,6,8,9,12,14],[3,4,10,11,12,13,14],[3,5,6,8,9,11,13],[3,5,7,8,10,11,13]]; G[385]:=Group([(1,2,3)(4,9,8)(5,7,12)(6,13,11)]); # Design 386: autom. group order 3, simple, residual B[386]:=[[1,2,3,4,5,6,7],[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],[1,4,6,7,8,10,12],[1,4,6,10,11,12,14],[1,5,7,8,9,11,12],[1,5,9,10,11,13,14],[1,6,7,8,11,13,14],[2,3,7,8,10,11,13],[2,4,5,6,9,11,12],[2,4,6,8,9,11,13],[2,4,7,10,11,12,13],[2,5,6,8,9,10,14],[2,5,7,8,10,12,14],[2,6,7,9,12,13,14],[3,4,5,6,7,13,14],[3,4,5,8,11,12,14],[3,4,7,9,10,11,14],[3,4,8,9,12,13,14],[3,5,6,7,9,10,11],[3,5,6,8,10,12,13]]; G[386]:=Group([(1,2,3)(4,8,9)(5,11,12)(6,14,7)]); # Design 387: autom. group order 3, simple, residual B[387]:=[[1,2,3,4,5,6,7],[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],[1,4,6,8,10,12,13],[1,4,6,9,11,13,14],[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],[2,4,6,7,11,12,13],[2,4,7,8,12,13,14],[2,5,6,9,10,11,12],[2,5,8,9,10,13,14],[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[387]:=Group([(1,2,3)(4,8,9)(5,11,12)(6,14,7)]); # Design 388: autom. group order 3, simple B[388]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,7,10,13,14],[1,4,6,8,9,11,13],[1,4,6,9,11,12,14],[1,5,7,8,9,10,12],[1,5,7,8,9,11,14],[1,6,7,10,11,12,13],[2,3,7,9,11,12,14],[2,4,5,6,10,11,12],[2,4,7,9,10,11,14],[2,4,8,9,10,12,13],[2,5,6,7,8,9,13],[2,5,6,8,10,11,14],[2,6,7,8,12,13,14],[3,4,5,6,7,9,12],[3,4,5,8,11,13,14],[3,4,6,7,8,10,14],[3,4,7,8,11,12,13],[3,5,6,9,10,11,13],[3,5,9,10,12,13,14]]; G[388]:=Group([(1,2,3)(4,7,10)(5,11,8)(6,13,9)]); # Design 389: autom. group order 3, simple, residual B[389]:=[[1,2,3,4,5,6,7],[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],[2,4,5,6,9,11,12],[2,4,7,8,9,11,13],[2,4,7,9,10,12,14],[2,5,6,8,10,12,14],[2,5,6,9,10,11,13],[2,6,7,8,12,13,14],[3,4,5,6,7,8,10],[3,4,5,8,11,12,14],[3,4,6,8,9,12,13],[3,4,10,11,12,13,14],[3,5,6,7,9,13,14],[3,5,7,9,10,11,14]]; G[389]:=Group([(1,2,3)(4,8,9)(5,11,12)(6,14,7)]); # Design 390: autom. group order 3, simple, residual B[390]:=[[1,2,3,4,5,6,7],[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],[1,4,5,8,9,11,14],[1,4,6,7,8,12,13],[1,4,6,7,10,11,14],[1,5,7,8,12,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,13],[2,3,7,8,10,11,13],[2,4,5,6,10,11,12],[2,4,7,8,9,11,12],[2,4,9,10,12,13,14],[2,5,6,7,9,11,13],[2,5,6,8,9,13,14],[2,6,7,8,10,12,14],[3,4,5,6,8,9,12],[3,4,5,7,8,10,13],[3,4,6,11,12,13,14],[3,4,7,9,11,13,14],[3,5,6,7,9,10,14],[3,5,8,10,11,12,14]]; G[390]:=Group([(1,2,3)(4,8,9)(5,11,12)(6,14,7)]); # Design 391: autom. group order 3, simple, residual B[391]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,7,9,10,14],[1,4,6,7,11,12,13],[1,4,6,8,9,11,13],[1,5,7,9,10,11,12],[1,5,8,10,11,13,14],[1,6,7,8,9,12,14],[2,3,7,9,11,12,14],[2,4,5,8,9,11,14],[2,4,6,7,10,11,14],[2,4,6,8,10,11,12],[2,5,6,7,8,9,13],[2,5,6,10,12,13,14],[2,7,8,9,10,12,13],[3,4,5,6,9,10,12],[3,4,5,7,8,12,13],[3,4,7,8,10,13,14],[3,4,9,11,12,13,14],[3,5,6,7,8,11,14],[3,5,6,9,10,11,13]]; G[391]:=Group([(1,2,3)(4,7,10)(5,11,8)(6,13,9)]); # Design 392: autom. group order 3, simple, residual B[392]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,7,9,10,14],[1,4,6,7,8,9,12],[1,4,6,11,12,13,14],[1,5,7,9,10,11,12],[1,5,8,10,11,13,14],[1,6,7,8,9,11,13],[2,3,7,9,11,12,14],[2,4,5,8,9,11,14],[2,4,6,7,10,11,14],[2,4,6,8,10,11,12],[2,5,6,7,10,12,13],[2,5,6,8,9,10,13],[2,7,8,9,12,13,14],[3,4,5,6,9,11,13],[3,4,5,7,8,12,13],[3,4,7,8,10,13,14],[3,4,9,10,11,12,13],[3,5,6,7,8,11,14],[3,5,6,9,10,12,14]]; G[392]:=Group([(1,2,3)(4,7,10)(5,11,8)(6,13,9)]); # Design 393: autom. group order 3, simple, residual B[393]:=[[1,2,3,4,5,6,7],[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],[1,2,4,5,9,12,14],[1,3,6,7,11,12,14],[1,4,5,8,9,11,13],[1,4,6,8,10,11,14],[1,4,7,10,11,12,13],[1,5,6,8,10,12,14],[1,5,7,9,10,13,14],[1,6,7,8,9,12,13],[2,3,8,10,12,13,14],[2,4,5,6,7,10,12],[2,4,6,7,8,13,14],[2,4,6,9,11,12,13],[2,5,6,8,10,11,13],[2,5,7,9,10,11,14],[2,7,8,9,11,12,14],[3,4,5,7,8,13,14],[3,4,5,11,12,13,14],[3,4,6,9,10,11,14],[3,4,7,8,9,10,12],[3,5,6,7,8,9,11],[3,5,6,9,10,12,13]]; G[393]:=Group([(1,2,3)(4,10,7)(5,8,11)(6,9,13)]); # Design 394: autom. group order 3, simple, residual B[394]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,12,14],[1,4,5,7,8,12,13],[1,4,6,7,8,10,11],[1,4,8,9,11,13,14],[1,5,6,7,9,11,14],[1,5,7,9,10,11,12],[1,6,8,10,12,13,14],[2,3,7,8,10,11,14],[2,4,5,6,11,12,14],[2,4,6,7,8,9,14],[2,4,6,10,11,12,13],[2,5,6,8,9,10,12],[2,5,7,9,10,13,14],[2,7,8,9,11,12,13],[3,4,5,8,9,12,14],[3,4,5,9,10,11,13],[3,4,6,7,9,12,13],[3,4,7,10,11,12,14],[3,5,6,7,8,10,13],[3,5,6,8,11,13,14]]; G[394]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 395: autom. group order 3, simple, residual B[395]:=[[1,2,3,4,5,6,7],[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],[1,3,6,10,11,12,14],[1,4,5,7,8,11,14],[1,4,6,7,9,11,14],[1,4,8,10,12,13,14],[1,5,6,8,9,12,13],[1,5,7,9,10,11,13],[1,6,7,8,9,10,12],[2,3,7,8,9,12,14],[2,4,5,6,9,10,14],[2,4,6,7,8,11,12],[2,4,6,10,11,12,13],[2,5,6,7,8,10,13],[2,5,8,9,10,11,14],[2,7,9,11,12,13,14],[3,4,5,7,9,12,13],[3,4,5,9,10,11,12],[3,4,6,8,9,13,14],[3,4,7,8,10,11,13],[3,5,6,7,10,12,14],[3,5,6,8,11,13,14]]; G[395]:=Group([(1,2,3)(4,9,6)(5,8,11)(7,10,13)]); # Design 396: autom. group order 3, simple B[396]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,12,14],[1,4,5,7,8,12,13],[1,4,6,8,10,11,12],[1,4,7,8,9,11,14],[1,5,6,7,9,11,14],[1,5,9,10,11,12,13],[1,6,7,8,10,13,14],[2,3,7,8,10,11,14],[2,4,5,6,11,12,14],[2,4,6,7,10,11,13],[2,4,6,8,9,12,14],[2,5,6,8,9,10,13],[2,5,7,9,10,12,14],[2,7,8,9,11,12,13],[3,4,5,7,9,10,11],[3,4,5,8,9,13,14],[3,4,6,7,9,12,13],[3,4,10,11,12,13,14],[3,5,6,7,8,10,12],[3,5,6,8,11,13,14]]; G[396]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 397: autom. group order 3, simple B[397]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,12,14],[1,4,5,7,8,12,13],[1,4,6,8,10,11,13],[1,4,8,9,11,12,14],[1,5,6,7,9,11,14],[1,5,7,9,10,11,13],[1,6,7,8,10,12,14],[2,3,7,8,10,11,14],[2,4,5,6,11,12,14],[2,4,6,7,10,11,12],[2,4,6,8,9,13,14],[2,5,6,7,8,9,10],[2,5,9,10,12,13,14],[2,7,8,9,11,12,13],[3,4,5,7,8,9,14],[3,4,5,9,10,11,12],[3,4,6,7,9,12,13],[3,4,7,10,11,13,14],[3,5,6,8,10,12,13],[3,5,6,8,11,13,14]]; G[397]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 398: autom. group order 3, simple, residual B[398]:=[[1,2,3,4,5,6,7],[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],[1,3,6,10,11,12,14],[1,4,5,8,10,11,14],[1,4,6,7,9,11,14],[1,4,7,8,12,13,14],[1,5,6,7,8,9,12],[1,5,7,9,10,11,13],[1,6,8,9,10,12,13],[2,3,7,8,9,12,14],[2,4,5,6,9,10,14],[2,4,6,7,11,12,13],[2,4,6,8,10,11,12],[2,5,6,7,8,10,13],[2,5,8,9,11,13,14],[2,7,9,10,11,12,14],[3,4,5,7,9,10,12],[3,4,5,9,11,12,13],[3,4,6,8,9,13,14],[3,4,7,8,10,11,13],[3,5,6,7,8,11,14],[3,5,6,10,12,13,14]]; G[398]:=Group([(1,2,3)(4,9,6)(5,8,11)(7,10,13)]); # Design 399: autom. group order 3, simple, residual B[399]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,7,12,13,14],[1,4,6,7,9,10,12],[1,4,8,9,11,12,14],[1,5,6,9,10,11,14],[1,5,7,8,10,11,13],[1,6,7,8,9,11,13],[2,3,7,9,10,11,14],[2,4,5,6,8,9,14],[2,4,6,7,10,11,12],[2,4,6,8,11,12,13],[2,5,7,9,11,12,14],[2,5,8,9,10,12,13],[2,6,7,8,10,13,14],[3,4,5,6,9,11,13],[3,4,5,7,8,10,11],[3,4,7,8,9,13,14],[3,4,10,11,12,13,14],[3,5,6,7,8,12,14],[3,5,6,9,10,12,13]]; G[399]:=Group([(1,2,3)(4,9,8)(5,7,12)(6,13,11)]); # Design 400: autom. group order 3, simple, residual B[400]:=[[1,2,3,4,5,6,7],[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],[1,3,6,10,11,12,14],[1,4,5,7,8,11,14],[1,4,6,8,9,13,14],[1,4,7,8,10,11,13],[1,5,6,7,9,11,12],[1,5,9,10,12,13,14],[1,6,7,8,9,10,12],[2,3,7,8,9,12,14],[2,4,5,6,8,10,12],[2,4,6,7,9,11,14],[2,4,6,10,11,12,13],[2,5,7,9,10,11,13],[2,5,8,9,10,11,14],[2,6,7,8,12,13,14],[3,4,5,6,9,10,14],[3,4,5,7,9,12,13],[3,4,7,10,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,10,13],[3,5,6,8,11,13,14]]; G[400]:=Group([(1,2,3)(4,9,6)(5,8,11)(7,10,13)]); # Design 401: autom. group order 3, simple, residual B[401]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,7,9,10,12],[1,4,6,9,11,12,13],[1,4,7,8,11,13,14],[1,5,6,7,8,12,14],[1,5,8,9,10,11,13],[1,6,7,9,10,11,14],[2,3,7,9,11,12,14],[2,4,5,6,8,9,11],[2,4,6,7,10,11,12],[2,4,6,8,10,13,14],[2,5,7,8,9,10,14],[2,5,10,11,12,13,14],[2,6,7,8,9,12,13],[3,4,5,6,10,11,14],[3,4,5,7,9,13,14],[3,4,7,8,10,12,13],[3,4,8,9,11,12,14],[3,5,6,7,8,11,13],[3,5,6,9,10,12,13]]; G[401]:=Group([(1,2,3)(4,7,10)(5,11,8)(6,13,9)]); # Design 402: autom. group order 3, simple, residual B[402]:=[[1,2,3,4,5,6,7],[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],[1,4,6,10,11,12,14],[1,4,7,9,10,11,14],[1,5,6,8,10,12,13],[1,5,7,8,9,11,12],[1,6,7,8,11,13,14],[2,3,7,8,10,11,13],[2,4,5,6,9,11,12],[2,4,6,7,8,10,12],[2,4,6,8,9,11,13],[2,5,7,8,10,12,14],[2,5,9,10,11,13,14],[2,6,7,9,12,13,14],[3,4,5,6,7,13,14],[3,4,5,8,11,12,14],[3,4,7,10,11,12,13],[3,4,8,9,12,13,14],[3,5,6,7,9,10,11],[3,5,6,8,9,10,14]]; G[402]:=Group([(1,2,3)(4,8,9)(5,11,12)(6,14,7)]); # Design 403: autom. group order 3, simple B[403]:=[[1,2,3,4,5,6,7],[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],[1,3,6,10,11,12,14],[1,4,5,8,10,11,13],[1,4,6,7,8,9,12],[1,4,7,8,11,12,14],[1,5,6,7,9,11,14],[1,5,7,9,10,12,13],[1,6,8,9,10,13,14],[2,3,7,8,9,12,14],[2,4,5,6,8,10,14],[2,4,6,7,11,13,14],[2,4,6,9,10,11,12],[2,5,7,8,9,11,13],[2,5,9,10,11,12,14],[2,6,7,8,10,12,13],[3,4,5,6,9,12,13],[3,4,5,7,9,10,14],[3,4,7,10,11,12,13],[3,4,8,9,11,13,14],[3,5,6,7,8,10,11],[3,5,6,8,12,13,14]]; G[403]:=Group([(1,2,3)(4,9,6)(5,8,11)(7,10,13)]); # Design 404: autom. group order 3, simple, residual B[404]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,9,10,11,14],[1,4,6,8,9,11,12],[1,4,7,9,12,13,14],[1,5,6,7,9,10,12],[1,5,7,8,11,13,14],[1,6,7,8,10,11,13],[2,3,7,9,10,11,14],[2,4,5,6,8,9,13],[2,4,6,7,11,12,14],[2,4,6,10,11,12,13],[2,5,7,8,10,12,13],[2,5,8,9,11,12,14],[2,6,7,8,9,10,14],[3,4,5,6,7,8,14],[3,4,5,7,10,11,12],[3,4,7,8,9,11,13],[3,4,8,10,12,13,14],[3,5,6,9,10,11,13],[3,5,6,9,12,13,14]]; G[404]:=Group([(1,2,3)(4,9,8)(5,7,12)(6,13,11)]); # Design 405: autom. group order 3, simple, residual B[405]:=[[1,2,3,4,5,6,7],[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],[1,2,4,5,9,12,14],[1,3,6,7,11,12,14],[1,4,5,8,11,13,14],[1,4,6,8,10,11,12],[1,4,7,10,11,13,14],[1,5,6,8,9,10,13],[1,5,7,9,10,12,13],[1,6,7,8,9,12,14],[2,3,8,10,12,13,14],[2,4,5,6,7,10,14],[2,4,6,7,8,12,13],[2,4,9,11,12,13,14],[2,5,6,8,10,11,14],[2,5,7,9,10,11,12],[2,6,7,8,9,11,13],[3,4,5,6,9,11,13],[3,4,5,7,8,12,13],[3,4,6,9,10,11,12],[3,4,7,8,9,10,14],[3,5,6,10,12,13,14],[3,5,7,8,9,11,14]]; G[405]:=Group([(1,2,3)(4,10,7)(5,8,11)(6,9,13)]); # Design 406: autom. group order 3, simple, residual B[406]:=[[1,2,3,4,5,6,7],[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],[1,3,6,7,9,10,14],[1,4,5,8,9,12,13],[1,4,6,8,10,13,14],[1,4,7,10,11,12,13],[1,5,6,9,10,11,13],[1,5,7,8,9,11,14],[1,6,7,8,11,12,14],[2,3,8,10,11,13,14],[2,4,5,6,7,10,11],[2,4,6,9,11,12,14],[2,4,7,8,9,11,13],[2,5,6,9,12,13,14],[2,5,7,8,9,10,14],[2,6,7,8,10,12,13],[3,4,5,6,8,13,14],[3,4,5,7,11,13,14],[3,4,6,7,8,9,12],[3,4,9,10,11,12,14],[3,5,6,8,10,11,12],[3,5,7,9,10,12,13]]; G[406]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 407: autom. group order 3, simple, residual B[407]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,12,14],[1,4,5,7,8,9,14],[1,4,6,7,8,12,13],[1,4,10,11,12,13,14],[1,5,6,7,9,11,14],[1,5,8,9,10,11,13],[1,6,7,8,10,11,12],[2,3,7,8,10,11,14],[2,4,5,6,11,12,14],[2,4,6,7,9,10,11],[2,4,8,9,11,12,14],[2,5,6,9,10,12,13],[2,5,7,8,9,12,13],[2,6,7,8,10,13,14],[3,4,5,6,8,10,12],[3,4,5,7,10,11,13],[3,4,6,8,9,13,14],[3,4,7,9,11,12,13],[3,5,6,8,11,13,14],[3,5,7,9,10,12,14]]; G[407]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 408: autom. group order 3, simple, residual B[408]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,7,9,10,14],[1,4,6,7,8,12,13],[1,4,9,11,12,13,14],[1,5,6,7,10,11,12],[1,5,8,9,10,11,14],[1,6,7,8,9,11,13],[2,3,7,9,11,12,14],[2,4,5,6,8,11,14],[2,4,6,7,10,11,14],[2,4,8,10,11,12,13],[2,5,6,8,9,10,13],[2,5,7,9,10,12,13],[2,6,7,8,9,12,14],[3,4,5,6,9,11,13],[3,4,5,7,8,9,12],[3,4,6,9,10,11,12],[3,4,7,8,10,13,14],[3,5,6,10,12,13,14],[3,5,7,8,11,13,14]]; G[408]:=Group([(1,2,3)(4,7,10)(5,11,8)(6,13,9)]); # Design 409: autom. group order 3, simple, residual B[409]:=[[1,2,3,4,5,6,7],[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],[1,3,6,10,11,12,14],[1,4,5,7,8,11,13],[1,4,6,7,9,11,12],[1,4,8,9,10,11,14],[1,5,6,7,9,10,14],[1,5,8,9,12,13,14],[1,6,7,8,10,12,13],[2,3,7,8,9,12,14],[2,4,5,6,9,10,12],[2,4,6,8,10,13,14],[2,4,7,10,11,12,13],[2,5,6,9,11,13,14],[2,5,7,8,9,10,11],[2,6,7,8,11,12,14],[3,4,5,6,7,8,14],[3,4,5,10,11,12,14],[3,4,6,8,9,12,13],[3,4,7,9,11,13,14],[3,5,6,8,10,11,13],[3,5,7,9,10,12,13]]; G[409]:=Group([(1,2,3)(4,9,6)(5,8,11)(7,10,13)]); # Design 410: autom. group order 3, simple, residual B[410]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,12,14],[1,4,5,7,8,9,13],[1,4,6,7,8,11,14],[1,4,9,10,11,12,14],[1,5,6,7,9,10,11],[1,5,8,11,12,13,14],[1,6,7,8,10,12,13],[2,3,7,8,10,11,14],[2,4,5,6,10,11,12],[2,4,6,8,10,13,14],[2,4,7,8,9,11,12],[2,5,6,8,9,12,14],[2,5,7,9,10,12,13],[2,6,7,9,11,13,14],[3,4,5,6,7,12,14],[3,4,5,9,11,13,14],[3,4,6,8,9,12,13],[3,4,7,10,11,12,13],[3,5,6,8,10,11,13],[3,5,7,8,9,10,14]]; G[410]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 411: autom. group order 3, simple, residual B[411]:=[[1,2,3,4,5,6,7],[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],[2,4,6,8,12,13,14],[2,4,7,8,10,12,13],[2,5,6,9,12,13,14],[2,5,7,9,10,11,12],[2,6,7,9,10,11,14],[3,4,5,6,10,11,12],[3,4,5,7,11,13,14],[3,4,6,7,10,12,14],[3,4,8,9,11,12,14],[3,5,6,8,9,10,13],[3,5,7,8,9,13,14]]; G[411]:=Group([(1,2,3)(4,8,9)(5,11,12)(6,14,7)]); # Design 412: autom. group order 3, simple, residual B[412]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,7,9,10,12],[1,4,6,7,9,11,14],[1,4,8,11,12,13,14],[1,5,6,8,9,10,11],[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],[2,4,6,7,10,11,12],[2,4,8,9,10,11,14],[2,5,6,9,10,12,13],[2,5,7,8,9,12,14],[2,6,7,8,10,13,14],[3,4,5,6,7,8,14],[3,4,5,9,10,13,14],[3,4,6,9,11,12,13],[3,4,7,8,10,12,13],[3,5,6,10,11,12,14],[3,5,7,8,9,11,13]]; G[412]:=Group([(1,2,3)(4,7,10)(5,11,8)(6,13,9)]); # Design 413: autom. group order 3, simple, residual B[413]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,7,9,10,11],[1,4,6,7,10,11,12],[1,4,8,9,11,12,14],[1,5,6,8,9,11,13],[1,5,7,9,12,13,14],[1,6,7,8,10,13,14],[2,3,7,9,10,11,14],[2,4,5,6,8,9,14],[2,4,6,7,8,11,13],[2,4,10,11,12,13,14],[2,5,6,9,10,12,13],[2,5,7,8,11,12,14],[2,6,7,8,9,10,12],[3,4,5,6,7,12,14],[3,4,5,8,10,12,13],[3,4,6,9,11,12,13],[3,4,7,8,9,13,14],[3,5,6,9,10,11,14],[3,5,7,8,10,11,13]]; G[413]:=Group([(1,2,3)(4,9,8)(5,7,12)(6,13,11)]); # Design 414: autom. group order 3, simple, residual B[414]:=[[1,2,3,4,5,6,7],[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],[1,5,6,8,10,11,12],[1,5,7,8,11,13,14],[1,6,7,8,10,12,14],[2,3,7,8,10,11,13],[2,4,5,6,8,9,11],[2,4,6,8,12,13,14],[2,4,7,8,10,12,13],[2,5,6,7,9,10,14],[2,5,9,10,11,12,14],[2,6,7,9,11,12,13],[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],[3,5,6,8,9,10,13],[3,5,7,8,9,13,14]]; G[414]:=Group([(1,2,3)(4,8,9)(5,11,12)(6,14,7)]); # Design 415: autom. group order 3, simple, residual B[415]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,7,10,11,12],[1,4,6,7,9,12,14],[1,4,8,9,11,12,13],[1,5,6,8,9,10,14],[1,5,7,9,11,13,14],[1,6,7,8,10,11,13],[2,3,7,9,10,11,14],[2,4,5,6,8,9,11],[2,4,6,10,11,12,13],[2,4,7,8,10,13,14],[2,5,6,7,9,10,12],[2,5,8,9,12,13,14],[2,6,7,8,11,12,14],[3,4,5,6,12,13,14],[3,4,5,7,8,11,14],[3,4,6,7,8,9,13],[3,4,9,10,11,12,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13]]; G[415]:=Group([(1,2,3)(4,9,8)(5,7,12)(6,13,11)]); # Design 416: autom. group order 3, simple, residual B[416]:=[[1,2,3,4,5,6,7],[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],[2,4,5,6,9,11,12],[2,4,6,8,9,11,13],[2,4,7,9,10,11,14],[2,5,6,8,10,12,14],[2,5,7,8,10,12,13],[2,6,7,9,12,13,14],[3,4,5,6,7,13,14],[3,4,5,8,11,12,14],[3,4,6,7,8,10,12],[3,4,8,9,12,13,14],[3,5,6,9,10,11,13],[3,5,7,9,10,11,14]]; G[416]:=Group([(1,2,3)(4,8,9)(5,11,12)(6,14,7)]); # Design 417: autom. group order 3, simple, residual B[417]:=[[1,2,3,4,5,6,7],[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],[2,4,6,8,12,13,14],[2,4,7,8,10,12,13],[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],[3,5,6,8,9,10,13],[3,5,7,8,9,13,14]]; G[417]:=Group([(1,2,3)(4,8,9)(5,11,12)(6,14,7)]); # Design 418: autom. group order 3, simple B[418]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,7,9,11,14],[1,4,6,7,11,12,14],[1,4,8,9,11,12,13],[1,5,6,8,9,10,14],[1,5,7,9,10,12,13],[1,6,7,8,10,11,13],[2,3,7,9,10,11,14],[2,4,5,6,8,9,11],[2,4,6,10,11,12,13],[2,4,7,8,10,13,14],[2,5,6,9,12,13,14],[2,5,7,8,10,11,12],[2,6,7,8,9,12,14],[3,4,5,6,7,10,12],[3,4,5,8,12,13,14],[3,4,6,7,8,9,13],[3,4,9,10,11,12,14],[3,5,6,9,10,11,13],[3,5,7,8,11,13,14]]; G[418]:=Group([(1,2,3)(4,9,8)(5,7,12)(6,13,11)]); # Design 419: autom. group order 3, simple, residual B[419]:=[[1,2,3,4,5,6,7],[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],[1,4,6,7,8,12,13],[1,4,8,10,12,13,14],[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],[2,4,5,6,10,11,12],[2,4,6,8,9,11,12],[2,4,7,11,12,13,14],[2,5,6,8,9,13,14],[2,5,7,8,9,10,13],[2,6,7,9,10,12,14],[3,4,5,6,7,10,14],[3,4,5,8,9,12,14],[3,4,6,9,10,11,13],[3,4,7,9,11,13,14],[3,5,6,7,8,12,13],[3,5,8,10,11,12,14]]; G[419]:=Group([(1,2,3)(4,8,9)(5,11,12)(6,14,7)]); # Design 420: autom. group order 3, simple, residual B[420]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,12,14],[1,4,5,7,8,9,13],[1,4,6,7,9,11,14],[1,4,8,10,11,13,14],[1,5,6,8,10,11,12],[1,5,7,9,11,12,14],[1,6,7,8,10,12,13],[2,3,7,8,10,11,14],[2,4,5,6,8,12,14],[2,4,6,11,12,13,14],[2,4,7,8,9,11,12],[2,5,6,9,10,11,13],[2,5,7,9,10,12,13],[2,6,7,8,9,10,14],[3,4,5,6,7,10,11],[3,4,5,9,10,12,14],[3,4,6,8,9,12,13],[3,4,7,10,11,12,13],[3,5,6,7,8,13,14],[3,5,8,9,11,13,14]]; G[420]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 421: autom. group order 3, simple, residual B[421]:=[[1,2,3,4,5,6,7],[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],[2,4,6,9,10,12,14],[2,4,7,8,9,12,13],[2,5,6,9,10,11,13],[2,5,7,9,10,11,14],[2,6,7,8,12,13,14],[3,4,5,6,8,9,13],[3,4,5,7,8,10,14],[3,4,6,7,10,11,12],[3,4,10,11,12,13,14],[3,5,6,7,9,13,14],[3,5,8,9,11,12,14]]; G[421]:=Group([(1,2,3)(4,8,9)(5,11,12)(6,14,7)]); # Design 422: autom. group order 3, simple, residual B[422]:=[[1,2,3,4,5,6,7],[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],[1,4,6,9,10,11,14],[1,4,7,8,9,12,13],[1,5,6,8,10,12,14],[1,5,7,9,10,11,13],[1,6,7,8,11,13,14],[2,3,7,8,10,11,13],[2,4,5,6,8,9,13],[2,4,6,10,11,12,13],[2,4,7,8,10,12,14],[2,5,6,8,9,11,12],[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],[3,4,6,7,10,11,12],[3,4,8,9,11,13,14],[3,5,6,7,8,9,10],[3,5,8,10,12,13,14]]; G[422]:=Group([(1,2,3)(4,8,9)(5,11,12)(6,14,7)]); # Design 423: autom. group order 3, simple, residual B[423]:=[[1,2,3,4,5,6,7],[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],[1,4,6,8,10,12,14],[1,4,7,10,11,12,13],[1,5,6,9,10,11,14],[1,5,7,8,9,11,12],[1,6,7,8,11,13,14],[2,3,7,8,10,11,13],[2,4,5,6,9,11,12],[2,4,6,8,9,11,13],[2,4,7,10,11,12,14],[2,5,6,8,10,12,13],[2,5,7,8,9,10,14],[2,6,7,9,12,13,14],[3,4,5,6,7,13,14],[3,4,5,8,11,12,14],[3,4,6,7,9,10,11],[3,4,8,9,12,13,14],[3,5,6,7,8,10,12],[3,5,9,10,11,13,14]]; G[423]:=Group([(1,2,3)(4,8,9)(5,11,12)(6,14,7)]); # Design 424: autom. group order 3, simple, residual B[424]:=[[1,2,3,4,5,6,7],[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],[2,4,7,11,12,13,14],[2,5,6,9,10,11,12],[2,5,7,8,9,13,14],[2,6,7,9,10,12,14],[3,4,5,6,7,10,14],[3,4,5,10,11,12,14],[3,4,6,7,9,11,13],[3,4,8,9,11,12,14],[3,5,6,7,8,12,13],[3,5,8,9,10,13,14]]; G[424]:=Group([(1,2,3)(4,8,9)(5,11,12)(6,14,7)]); # Design 425: autom. group order 3, simple, residual B[425]:=[[1,2,3,4,5,6,7],[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],[1,4,6,8,10,12,14],[1,4,7,8,9,12,13],[1,5,6,9,10,11,14],[1,5,7,9,10,11,13],[1,6,7,8,11,13,14],[2,3,7,8,10,11,13],[2,4,5,6,8,9,13],[2,4,6,10,11,12,13],[2,4,7,10,11,12,14],[2,5,6,8,9,11,12],[2,5,7,8,9,10,14],[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],[3,5,6,7,8,10,12],[3,5,8,10,12,13,14]]; G[425]:=Group([(1,2,3)(4,8,9)(5,11,12)(6,14,7)]); # Design 426: autom. group order 3, simple, residual B[426]:=[[1,2,3,4,5,6,7],[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],[1,3,6,10,11,12,14],[1,4,5,8,10,11,13],[1,4,6,7,9,11,12],[1,4,7,8,9,11,14],[1,5,6,7,8,12,14],[1,5,7,9,10,12,13],[1,6,8,9,10,13,14],[2,3,7,8,9,12,14],[2,4,5,6,9,10,12],[2,4,6,7,11,13,14],[2,4,8,10,11,12,14],[2,5,6,9,10,11,14],[2,5,7,8,9,11,13],[2,6,7,8,10,12,13],[3,4,5,6,8,13,14],[3,4,5,7,9,10,14],[3,4,6,8,9,12,13],[3,4,7,10,11,12,13],[3,5,6,7,8,10,11],[3,5,9,11,12,13,14]]; G[426]:=Group([(1,2,3)(4,9,6)(5,8,11)(7,10,13)]); # Design 427: autom. group order 3, simple B[427]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,9,10,11,14],[1,4,6,7,8,9,11],[1,4,7,8,11,12,14],[1,5,6,7,8,13,14],[1,5,7,9,10,12,13],[1,6,9,10,11,12,13],[2,3,7,9,10,11,14],[2,4,5,6,9,12,14],[2,4,6,8,9,12,13],[2,4,7,11,12,13,14],[2,5,6,8,10,11,13],[2,5,7,8,10,11,12],[2,6,7,8,9,10,14],[3,4,5,6,7,10,12],[3,4,5,8,9,11,13],[3,4,6,7,10,11,13],[3,4,8,10,12,13,14],[3,5,6,9,11,12,14],[3,5,7,8,9,13,14]]; G[427]:=Group([(1,2,3)(4,9,8)(5,7,12)(6,13,11)]); # Design 428: autom. group order 3, simple, residual B[428]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,12,14],[1,4,5,8,9,13,14],[1,4,6,7,10,11,12],[1,4,7,8,11,12,13],[1,5,6,7,9,11,14],[1,5,8,9,10,11,12],[1,6,7,8,10,13,14],[2,3,7,8,10,11,14],[2,4,5,6,11,12,14],[2,4,6,9,10,11,13],[2,4,7,8,9,11,14],[2,5,6,8,10,12,13],[2,5,7,9,10,12,14],[2,6,7,8,9,12,13],[3,4,5,6,7,8,10],[3,4,5,7,9,12,13],[3,4,6,8,9,12,14],[3,4,10,11,12,13,14],[3,5,6,8,11,13,14],[3,5,7,9,10,11,13]]; G[428]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 429: autom. group order 3, simple, residual B[429]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,8,9,13,14],[1,4,6,7,8,11,13],[1,4,7,8,10,11,12],[1,5,6,9,10,11,14],[1,5,7,9,11,12,14],[1,6,7,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,6,9,10,12],[2,4,6,9,11,12,13],[2,4,7,8,9,11,14],[2,5,6,7,8,12,14],[2,5,8,10,11,12,13],[2,6,7,8,10,13,14],[3,4,5,6,7,10,11],[3,4,5,7,12,13,14],[3,4,6,8,9,12,14],[3,4,10,11,12,13,14],[3,5,6,8,9,11,13],[3,5,7,8,9,10,13]]; G[429]:=Group([(1,2,3)(4,9,8)(5,7,12)(6,13,11)]); # Design 430: autom. group order 3, simple B[430]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,12,14],[1,4,5,8,9,13,14],[1,4,6,7,9,10,11],[1,4,7,8,11,12,13],[1,5,6,8,11,12,14],[1,5,7,9,10,11,12],[1,6,7,8,10,13,14],[2,3,7,8,10,11,14],[2,4,5,6,8,10,12],[2,4,6,10,11,12,13],[2,4,7,8,9,11,14],[2,5,6,9,11,13,14],[2,5,7,9,10,12,14],[2,6,7,8,9,12,13],[3,4,5,6,7,11,14],[3,4,5,7,9,12,13],[3,4,6,8,9,12,14],[3,4,10,11,12,13,14],[3,5,6,7,8,10,13],[3,5,8,9,10,11,13]]; G[430]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 431: autom. group order 3, simple, residual B[431]:=[[1,2,3,4,5,6,7],[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],[1,3,6,10,11,12,14],[1,4,5,6,7,9,14],[1,4,6,8,10,12,13],[1,4,7,10,11,12,14],[1,5,6,8,9,12,13],[1,5,7,8,9,11,14],[1,7,8,9,10,11,13],[2,3,7,8,9,12,14],[2,4,6,7,8,11,12],[2,4,6,8,9,10,14],[2,4,7,9,11,12,13],[2,5,6,7,10,11,13],[2,5,6,8,10,11,14],[2,5,9,10,12,13,14],[3,4,5,7,8,10,13],[3,4,5,8,11,13,14],[3,4,5,9,10,11,12],[3,4,6,9,11,13,14],[3,5,6,7,9,10,12],[3,6,7,8,12,13,14]]; G[431]:=Group([(1,2,3)(4,9,6)(5,8,11)(7,10,13)]); # Design 432: autom. group order 3, simple, residual B[432]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,12,14],[1,4,5,6,10,11,12],[1,4,6,7,8,11,14],[1,4,7,8,9,11,12],[1,5,6,7,8,13,14],[1,5,7,9,10,12,13],[1,8,9,10,11,13,14],[2,3,7,8,10,11,14],[2,4,6,7,9,10,14],[2,4,6,8,9,12,13],[2,4,7,10,11,12,13],[2,5,6,8,9,12,14],[2,5,6,8,10,11,13],[2,5,7,9,11,12,14],[3,4,5,7,8,9,13],[3,4,5,8,10,12,14],[3,4,5,9,11,13,14],[3,4,6,11,12,13,14],[3,5,6,7,9,10,11],[3,6,7,8,10,12,13]]; G[432]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 433: autom. group order 3, simple, residual B[433]:=[[1,2,3,4,5,6,7],[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],[1,3,6,10,11,12,14],[1,4,5,6,9,10,14],[1,4,6,7,8,10,12],[1,4,7,11,12,13,14],[1,5,6,8,9,12,13],[1,5,7,8,9,11,14],[1,7,8,9,10,11,13],[2,3,7,8,9,12,14],[2,4,6,7,8,11,12],[2,4,6,8,9,13,14],[2,4,9,10,11,12,13],[2,5,6,7,10,11,13],[2,5,6,8,10,11,14],[2,5,7,9,10,12,14],[3,4,5,7,8,10,13],[3,4,5,8,11,13,14],[3,4,5,9,10,11,12],[3,4,6,7,9,11,14],[3,5,6,7,9,12,13],[3,6,8,10,12,13,14]]; G[433]:=Group([(1,2,3)(4,9,6)(5,8,11)(7,10,13)]); # Design 434: autom. group order 3, simple B[434]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,12,14],[1,4,5,6,7,10,11],[1,4,6,8,10,12,14],[1,4,8,9,11,12,13],[1,5,7,8,9,11,14],[1,5,7,9,10,12,13],[1,6,7,8,11,13,14],[2,3,7,8,10,11,14],[2,4,6,7,8,9,13],[2,4,6,9,11,12,14],[2,4,7,10,11,12,13],[2,5,6,7,9,12,14],[2,5,6,8,10,11,12],[2,5,8,9,10,13,14],[3,4,5,6,8,13,14],[3,4,5,7,8,9,12],[3,4,5,11,12,13,14],[3,4,7,9,10,11,14],[3,5,6,9,10,11,13],[3,6,7,8,10,12,13]]; G[434]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 435: autom. group order 3, simple B[435]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,12,14],[1,4,5,6,10,11,12],[1,4,6,7,8,10,14],[1,4,7,8,9,11,13],[1,5,7,8,9,11,14],[1,5,7,9,10,12,13],[1,6,8,11,12,13,14],[2,3,7,8,10,11,14],[2,4,6,7,8,9,12],[2,4,6,9,11,12,14],[2,4,7,10,11,12,13],[2,5,6,7,9,13,14],[2,5,6,8,10,11,13],[2,5,8,9,10,12,14],[3,4,5,6,8,13,14],[3,4,5,7,11,12,14],[3,4,5,8,9,12,13],[3,4,9,10,11,13,14],[3,5,6,7,9,10,11],[3,6,7,8,10,12,13]]; G[435]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 436: autom. group order 3, simple, residual B[436]:=[[1,2,3,4,5,6,7],[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],[1,4,6,7,10,12,14],[1,4,7,9,11,13,14],[1,5,7,8,9,10,13],[1,5,8,10,11,12,14],[1,6,7,8,11,12,13],[2,3,7,8,10,11,13],[2,4,6,7,8,12,13],[2,4,6,9,10,11,13],[2,4,8,9,11,12,14],[2,5,6,7,8,10,14],[2,5,6,9,12,13,14],[2,5,7,9,10,11,12],[3,4,5,6,10,11,12],[3,4,5,7,8,9,12],[3,4,5,7,11,13,14],[3,4,8,10,12,13,14],[3,5,6,8,9,13,14],[3,6,7,9,10,11,14]]; G[436]:=Group([(1,2,3)(4,8,9)(5,11,12)(6,14,7)]); # Design 437: autom. group order 3, simple, residual B[437]:=[[1,2,3,4,5,6,7],[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],[1,3,6,10,11,12,14],[1,4,5,6,8,10,12],[1,4,6,7,8,9,14],[1,4,7,11,12,13,14],[1,5,7,9,10,11,13],[1,5,8,9,10,11,14],[1,6,7,8,9,12,13],[2,3,7,8,9,12,14],[2,4,6,7,10,11,12],[2,4,6,9,10,11,14],[2,4,8,9,11,12,13],[2,5,6,7,8,10,13],[2,5,6,8,11,13,14],[2,5,7,9,10,12,14],[3,4,5,6,9,13,14],[3,4,5,7,8,11,14],[3,4,5,9,10,12,13],[3,4,7,8,10,11,13],[3,5,6,7,9,11,12],[3,6,8,10,12,13,14]]; G[437]:=Group([(1,2,3)(4,9,6)(5,8,11)(7,10,13)]); # Design 438: autom. group order 3, simple, residual B[438]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,6,9,10,12],[1,4,6,7,8,9,14],[1,4,7,10,11,12,13],[1,5,7,9,11,12,14],[1,5,8,10,11,13,14],[1,6,7,8,9,11,13],[2,3,7,9,10,11,14],[2,4,6,7,10,11,14],[2,4,6,8,11,12,13],[2,4,8,9,12,13,14],[2,5,6,7,8,12,14],[2,5,6,9,10,11,12],[2,5,7,8,9,10,13],[3,4,5,6,9,11,13],[3,4,5,7,12,13,14],[3,4,5,8,9,11,14],[3,4,7,8,10,11,12],[3,5,6,7,8,10,13],[3,6,9,10,12,13,14]]; G[438]:=Group([(1,2,3)(4,9,8)(5,7,12)(6,13,11)]); # Design 439: autom. group order 3, simple, residual B[439]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,12,14],[1,4,5,6,11,12,14],[1,4,6,7,8,12,13],[1,4,7,8,9,11,14],[1,5,7,9,10,13,14],[1,5,8,9,10,11,12],[1,6,7,8,10,11,13],[2,3,7,8,10,11,14],[2,4,6,8,9,12,14],[2,4,6,9,10,11,13],[2,4,7,10,11,12,14],[2,5,6,7,9,10,12],[2,5,6,8,11,13,14],[2,5,7,8,9,12,13],[3,4,5,6,7,8,10],[3,4,5,8,9,13,14],[3,4,5,10,11,12,13],[3,4,7,9,11,12,13],[3,5,6,7,9,11,14],[3,6,8,10,12,13,14]]; G[439]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 440: autom. group order 3, simple, residual B[440]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,6,8,9,14],[1,4,6,7,9,10,12],[1,4,10,11,12,13,14],[1,5,7,8,10,11,13],[1,5,7,9,11,12,14],[1,6,7,8,9,11,13],[2,3,7,9,10,11,14],[2,4,6,7,10,11,12],[2,4,6,8,11,12,13],[2,4,7,8,9,13,14],[2,5,6,7,8,12,14],[2,5,6,9,10,11,14],[2,5,8,9,10,12,13],[3,4,5,6,9,11,13],[3,4,5,7,8,10,11],[3,4,5,7,12,13,14],[3,4,8,9,11,12,14],[3,5,6,9,10,12,13],[3,6,7,8,10,13,14]]; G[440]:=Group([(1,2,3)(4,9,8)(5,7,12)(6,13,11)]); # Design 441: autom. group order 3, simple, residual B[441]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,6,8,9,11],[1,4,6,10,11,12,13],[1,4,7,9,11,12,14],[1,5,7,8,11,13,14],[1,5,7,9,10,12,13],[1,6,7,8,9,10,14],[2,3,7,9,10,11,14],[2,4,6,7,8,9,13],[2,4,6,7,11,12,14],[2,4,8,10,12,13,14],[2,5,6,8,9,12,14],[2,5,6,9,10,11,13],[2,5,7,8,10,11,12],[3,4,5,6,7,10,12],[3,4,5,7,8,13,14],[3,4,5,9,10,11,14],[3,4,8,9,11,12,13],[3,5,6,9,12,13,14],[3,6,7,8,10,11,13]]; G[441]:=Group([(1,2,3)(4,9,8)(5,7,12)(6,13,11)]); # Design 442: autom. group order 3, simple, residual B[442]:=[[1,2,3,4,5,6,7],[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],[1,4,6,7,8,12,13],[1,4,6,11,12,13,14],[1,5,6,7,9,10,14],[1,5,7,8,10,11,12],[1,8,9,10,11,13,14],[2,3,7,8,10,11,13],[2,4,6,7,10,11,14],[2,4,6,8,9,11,12],[2,4,7,9,10,12,13],[2,5,6,8,9,13,14],[2,5,6,9,10,11,12],[2,5,7,8,12,13,14],[3,4,5,6,8,10,13],[3,4,5,8,9,12,14],[3,4,5,10,11,12,14],[3,4,7,9,11,13,14],[3,5,6,7,9,11,13],[3,6,7,8,10,12,14]]; G[442]:=Group([(1,2,3)(4,8,9)(5,11,12)(6,14,7)]); # Design 443: autom. group order 3, simple, residual B[443]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,8,9,11,13],[1,4,6,7,8,9,14],[1,4,6,7,10,11,12],[1,5,6,9,10,12,13],[1,5,7,9,10,11,14],[1,7,8,11,12,13,14],[2,3,7,9,11,12,14],[2,4,6,8,10,11,14],[2,4,6,9,11,12,13],[2,4,7,8,10,12,13],[2,5,6,7,8,9,11],[2,5,6,7,10,13,14],[2,5,8,9,10,12,14],[3,4,5,6,11,12,14],[3,4,5,7,8,13,14],[3,4,5,7,9,10,12],[3,4,9,10,11,13,14],[3,5,6,8,10,11,13],[3,6,7,8,9,12,13]]; G[443]:=Group([(1,2,3)(4,7,10)(5,11,8)(6,13,9)]); # Design 444: autom. group order 3, simple, residual B[444]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,8,9,11,13],[1,4,6,7,8,11,14],[1,4,6,7,10,11,12],[1,5,6,9,10,12,13],[1,5,7,8,9,12,14],[1,7,9,10,11,13,14],[2,3,7,9,11,12,14],[2,4,6,8,9,10,14],[2,4,6,9,11,12,13],[2,4,7,8,10,12,13],[2,5,6,7,8,9,11],[2,5,6,10,11,12,14],[2,5,7,8,10,13,14],[3,4,5,6,7,13,14],[3,4,5,7,9,10,12],[3,4,5,9,10,11,14],[3,4,8,11,12,13,14],[3,5,6,8,10,11,13],[3,6,7,8,9,12,13]]; G[444]:=Group([(1,2,3)(4,7,10)(5,11,8)(6,13,9)]); # Design 445: autom. group order 3, simple, residual B[445]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,7,10,11,12],[1,4,6,7,8,9,11],[1,4,6,10,11,12,13],[1,5,6,7,8,9,14],[1,5,8,9,10,13,14],[1,7,9,11,12,13,14],[2,3,7,9,10,11,14],[2,4,6,8,9,12,13],[2,4,7,8,10,11,14],[2,4,7,8,12,13,14],[2,5,6,7,9,10,12],[2,5,6,8,11,12,14],[2,5,6,9,10,11,13],[3,4,5,6,7,13,14],[3,4,5,8,9,11,13],[3,4,5,9,11,12,14],[3,4,6,9,10,12,14],[3,5,7,8,10,12,13],[3,6,7,8,10,11,13]]; G[445]:=Group([(1,2,3)(4,9,8)(5,7,12)(6,13,11)]); # Design 446: autom. group order 3, simple, residual B[446]:=[[1,2,3,4,5,6,7],[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],[1,4,6,7,12,13,14],[1,4,6,8,9,11,13],[1,5,6,8,9,10,14],[1,5,7,9,10,11,13],[1,7,8,10,11,12,14],[2,3,7,8,10,11,13],[2,4,6,10,11,12,13],[2,4,7,9,10,11,14],[2,4,8,9,12,13,14],[2,5,6,7,8,13,14],[2,5,6,7,9,10,12],[2,5,6,8,9,11,12],[3,4,5,6,10,11,14],[3,4,5,7,8,9,13],[3,4,5,9,11,12,14],[3,4,6,7,8,10,12],[3,5,8,10,12,13,14],[3,6,7,9,11,13,14]]; G[446]:=Group([(1,2,3)(4,8,9)(5,11,12)(6,14,7)]); # Design 447: autom. group order 3, simple B[447]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,12,14],[1,4,5,7,8,9,12],[1,4,6,7,11,13,14],[1,4,6,8,11,12,14],[1,5,6,8,10,11,13],[1,5,7,9,10,12,13],[1,7,8,9,10,11,14],[2,3,7,8,10,11,14],[2,4,6,9,10,12,14],[2,4,7,10,11,12,13],[2,4,8,9,11,12,13],[2,5,6,7,8,12,14],[2,5,6,7,9,10,11],[2,5,6,8,9,13,14],[3,4,5,6,10,11,12],[3,4,5,7,9,11,14],[3,4,5,8,10,13,14],[3,4,6,7,8,9,13],[3,5,9,11,12,13,14],[3,6,7,8,10,12,13]]; G[447]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 448: autom. group order 3, simple, residual B[448]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,12,14],[1,4,5,8,9,12,14],[1,4,6,7,10,11,12],[1,4,6,8,10,11,13],[1,5,6,7,8,11,14],[1,5,7,9,10,13,14],[1,7,8,9,11,12,13],[2,3,7,8,10,11,14],[2,4,6,7,9,12,13],[2,4,7,10,11,12,14],[2,4,8,9,11,13,14],[2,5,6,7,8,9,10],[2,5,6,8,10,12,13],[2,5,6,9,11,12,14],[3,4,5,6,11,13,14],[3,4,5,7,8,12,13],[3,4,5,9,10,11,12],[3,4,6,7,8,9,14],[3,5,7,9,10,11,13],[3,6,8,10,12,13,14]]; G[448]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 449: autom. group order 3, simple B[449]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,7,10,11,12],[1,4,6,7,8,9,13],[1,4,6,10,11,12,13],[1,5,7,8,9,13,14],[1,5,8,9,10,11,14],[1,6,7,9,11,12,14],[2,3,7,9,10,11,14],[2,4,6,7,8,10,14],[2,4,7,8,11,12,14],[2,4,8,9,11,12,13],[2,5,6,7,9,10,12],[2,5,6,8,12,13,14],[2,5,6,9,10,11,13],[3,4,5,6,8,9,11],[3,4,5,6,9,12,14],[3,4,5,7,11,13,14],[3,4,9,10,12,13,14],[3,5,7,8,10,12,13],[3,6,7,8,10,11,13]]; G[449]:=Group([(1,2,3)(4,9,8)(5,7,12)(6,13,11)]); # Design 450: autom. group order 3, simple B[450]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,12,14],[1,4,5,7,9,12,13],[1,4,6,7,10,11,12],[1,4,7,8,9,11,14],[1,5,6,8,11,13,14],[1,5,8,9,10,11,12],[1,6,7,8,10,13,14],[2,3,7,8,10,11,14],[2,4,6,8,9,12,14],[2,4,6,9,10,11,13],[2,4,7,8,11,12,13],[2,5,6,7,9,11,14],[2,5,6,8,10,12,13],[2,5,7,9,10,12,14],[3,4,5,6,7,8,10],[3,4,5,6,11,12,14],[3,4,5,8,9,13,14],[3,4,10,11,12,13,14],[3,5,7,9,10,11,13],[3,6,7,8,9,12,13]]; G[450]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 451: autom. group order 3, simple, residual B[451]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,12,14],[1,4,5,7,9,12,13],[1,4,6,7,10,11,12],[1,4,8,9,11,12,14],[1,5,6,7,8,11,14],[1,5,8,9,10,11,13],[1,6,7,8,10,13,14],[2,3,7,8,10,11,14],[2,4,6,7,9,10,11],[2,4,6,8,9,13,14],[2,4,7,8,11,12,13],[2,5,6,8,10,12,13],[2,5,6,9,11,12,14],[2,5,7,9,10,12,14],[3,4,5,6,8,10,12],[3,4,5,6,11,13,14],[3,4,5,7,8,9,14],[3,4,10,11,12,13,14],[3,5,7,9,10,11,13],[3,6,7,8,9,12,13]]; G[451]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 452: autom. group order 3, simple B[452]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,12,14],[1,4,5,7,9,12,13],[1,4,6,7,10,11,12],[1,4,8,9,11,13,14],[1,5,6,8,11,12,14],[1,5,7,8,9,10,11],[1,6,7,8,10,13,14],[2,3,7,8,10,11,14],[2,4,6,7,8,9,14],[2,4,6,9,10,11,12],[2,4,7,8,11,12,13],[2,5,6,8,10,12,13],[2,5,6,9,11,13,14],[2,5,7,9,10,12,14],[3,4,5,6,7,11,14],[3,4,5,6,8,10,13],[3,4,5,8,9,12,14],[3,4,10,11,12,13,14],[3,5,7,9,10,11,13],[3,6,7,8,9,12,13]]; G[452]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 453: autom. group order 3, simple B[453]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,7,10,11,12],[1,4,6,10,11,12,13],[1,4,7,8,9,11,13],[1,5,6,8,9,10,14],[1,5,7,8,9,11,14],[1,6,7,9,12,13,14],[2,3,7,9,10,11,14],[2,4,6,7,8,12,14],[2,4,6,8,9,11,12],[2,4,7,8,10,13,14],[2,5,6,7,9,10,12],[2,5,6,9,10,11,13],[2,5,8,11,12,13,14],[3,4,5,6,7,11,14],[3,4,5,6,8,9,13],[3,4,5,9,12,13,14],[3,4,9,10,11,12,14],[3,5,7,8,10,12,13],[3,6,7,8,10,11,13]]; G[453]:=Group([(1,2,3)(4,9,8)(5,7,12)(6,13,11)]); # Design 454: autom. group order 3, simple, residual B[454]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,7,8,9,14],[1,4,6,9,10,11,14],[1,4,7,10,11,12,13],[1,5,6,9,10,12,13],[1,5,7,8,9,11,13],[1,6,7,8,11,12,14],[2,3,7,9,11,12,14],[2,4,6,7,8,13,14],[2,4,6,9,11,12,13],[2,4,7,8,9,10,12],[2,5,6,7,10,11,14],[2,5,6,8,9,10,11],[2,5,8,10,12,13,14],[3,4,5,6,7,10,12],[3,4,5,6,8,11,13],[3,4,5,9,11,12,14],[3,4,8,10,11,13,14],[3,5,7,9,10,13,14],[3,6,7,8,9,12,13]]; G[454]:=Group([(1,2,3)(4,7,10)(5,11,8)(6,13,9)]); # Design 455: autom. group order 3, simple B[455]:=[[1,2,3,4,5,6,7],[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],[1,4,5,8,11,12,14],[1,4,6,7,10,11,12],[1,4,7,8,9,11,13],[1,5,6,7,9,13,14],[1,5,7,8,10,12,13],[1,6,8,9,10,11,14],[2,3,7,8,10,11,13],[2,4,6,7,11,13,14],[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],[2,5,7,8,9,11,12],[3,4,5,6,7,8,10],[3,4,5,6,9,11,12],[3,4,5,8,9,13,14],[3,4,10,11,12,13,14],[3,5,7,9,10,11,14],[3,6,7,8,12,13,14]]; G[455]:=Group([(1,2,3)(4,8,9)(5,11,12)(6,14,7)]); # Design 456: autom. group order 3, simple, residual B[456]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,14],[1,4,5,9,11,12,14],[1,4,6,7,11,12,14],[1,4,7,8,9,11,13],[1,5,6,8,10,11,13],[1,5,7,9,10,12,13],[1,6,7,8,9,10,14],[2,3,7,9,10,11,14],[2,4,6,7,10,11,13],[2,4,6,8,9,11,12],[2,4,8,10,12,13,14],[2,5,6,7,8,9,14],[2,5,6,9,12,13,14],[2,5,7,8,10,11,12],[3,4,5,6,7,10,12],[3,4,5,6,8,9,13],[3,4,5,9,10,11,14],[3,4,7,8,12,13,14],[3,5,7,8,11,13,14],[3,6,9,10,11,12,13]]; G[456]:=Group([(1,2,3)(4,9,8)(5,7,12)(6,13,11)]); # Design 457: autom. group order 3, simple, residual B[457]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,12,14],[1,4,5,7,9,11,14],[1,4,6,7,10,12,13],[1,4,7,8,9,11,12],[1,5,6,8,10,11,13],[1,5,8,9,10,12,14],[1,6,7,8,11,13,14],[2,3,7,8,10,11,14],[2,4,6,8,9,12,13],[2,4,6,8,11,12,14],[2,4,9,10,11,13,14],[2,5,6,7,9,10,11],[2,5,6,7,9,12,14],[2,5,7,8,10,12,13],[3,4,5,6,10,11,12],[3,4,5,7,8,9,13],[3,4,5,11,12,13,14],[3,4,6,7,8,10,14],[3,5,6,8,9,13,14],[3,7,9,10,11,12,13]]; G[457]:=Group([(1,2,3)(4,8,9)(5,11,6)(7,12,13)]); # Design 458: autom. group order 3, simple, residual B[458]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,7,10,12,14],[1,3,6,8,11,13,14],[1,4,5,8,12,13,14],[1,4,6,8,9,10,11],[1,4,7,9,10,11,14],[1,5,7,8,9,12,14],[1,5,9,10,11,12,13],[2,3,7,8,9,10,12],[2,3,9,11,12,13,14],[2,4,5,6,11,12,14],[2,4,6,9,10,13,14],[2,4,7,8,11,12,14],[2,5,6,8,9,10,14],[2,5,7,8,10,11,13],[3,4,5,7,9,11,13],[3,4,6,8,9,12,13],[3,4,7,8,10,13,14],[3,5,6,7,9,11,14],[3,5,6,8,10,11,12],[4,5,6,7,10,12,13]]; G[458]:=Group([(1,2,11)(3,12,10)(5,14,9)(6,7,8)]); # Design 459: autom. group order 3, simple, residual B[459]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,13,14],[1,2,6,9,11,12,13],[1,3,6,7,8,9,11],[1,3,6,8,10,12,13],[1,4,5,7,11,12,13],[1,4,6,9,10,13,14],[1,4,7,8,11,12,14],[1,5,7,9,10,12,14],[1,5,8,9,10,11,14],[2,3,7,8,10,12,14],[2,3,7,9,11,13,14],[2,4,5,6,9,12,14],[2,4,6,7,10,11,14],[2,4,8,9,10,11,13],[2,5,6,8,10,11,12],[2,5,7,8,9,12,13],[3,4,5,8,11,13,14],[3,4,6,8,9,12,14],[3,4,7,9,10,12,13],[3,5,6,7,9,10,11],[3,5,6,11,12,13,14],[4,5,6,7,8,10,13]]; G[459]:=Group([(1,3,14)(2,13,10)(4,11,9)(6,12,7)]); # Design 460: autom. group order 3, simple, residual B[460]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,13,14],[1,3,6,7,9,11,14],[1,3,6,8,12,13,14],[1,4,5,7,11,12,13],[1,4,6,8,9,10,11],[1,4,7,9,10,12,13],[1,5,7,8,10,12,14],[1,5,8,9,11,12,14],[2,3,7,10,11,12,14],[2,3,8,9,11,12,13],[2,4,5,6,8,12,14],[2,4,6,7,9,12,14],[2,4,7,8,11,13,14],[2,5,6,9,10,11,12],[2,5,7,8,9,10,13],[3,4,5,9,11,13,14],[3,4,6,8,10,12,13],[3,4,7,8,9,10,14],[3,5,6,7,8,10,11],[3,5,6,7,9,12,13],[4,5,6,10,11,13,14]]; G[460]:=Group([(1,4,14)(2,13,12)(3,11,8)(6,10,7)]); # Design 461: autom. group order 3, simple, residual B[461]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,13,14],[1,3,6,7,9,11,12],[1,3,6,8,10,12,14],[1,4,5,9,11,12,13],[1,4,6,8,9,11,14],[1,4,7,8,12,13,14],[1,5,7,8,10,12,13],[1,5,7,9,10,11,14],[2,3,7,8,9,12,13],[2,3,7,9,11,13,14],[2,4,5,6,7,12,14],[2,4,6,8,10,11,13],[2,4,7,10,11,12,14],[2,5,6,8,9,12,14],[2,5,8,9,10,11,12],[3,4,5,8,11,13,14],[3,4,6,9,10,12,13],[3,4,7,8,9,10,14],[3,5,6,7,8,10,11],[3,5,6,11,12,13,14],[4,5,6,7,9,10,13]]; G[461]:=Group([(1,9,11)(3,8,10)(4,5,12)(6,14,7)]); # Design 462: autom. group order 3, simple, residual B[462]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,7,9,12,14],[1,3,6,8,9,10,11],[1,4,5,11,12,13,14],[1,4,6,8,11,12,13],[1,4,7,9,10,12,13],[1,5,7,8,9,11,14],[1,5,7,8,10,12,14],[2,3,7,8,11,12,14],[2,3,7,9,11,12,13],[2,4,5,6,9,12,14],[2,4,6,7,8,13,14],[2,4,8,9,10,11,14],[2,5,6,7,10,11,12],[2,5,8,9,10,12,13],[3,4,5,7,8,11,13],[3,4,6,8,10,12,14],[3,4,7,9,10,13,14],[3,5,6,8,9,12,13],[3,5,6,10,11,13,14],[4,5,6,7,9,10,11]]; G[462]:=Group([(1,2,12)(3,11,4)(5,7,13)(6,9,14)]); # Design 463: autom. group order 3, simple, residual B[463]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,12,14],[1,3,6,7,9,10,11],[1,3,6,8,9,13,14],[1,4,5,9,11,12,13],[1,4,6,11,12,13,14],[1,4,7,8,10,12,13],[1,5,7,8,9,12,14],[1,5,7,8,10,11,14],[2,3,7,8,11,12,14],[2,3,8,9,11,12,13],[2,4,5,6,8,12,14],[2,4,6,7,9,11,14],[2,4,7,8,9,10,13],[2,5,6,7,10,12,13],[2,5,9,10,11,13,14],[3,4,5,7,11,13,14],[3,4,6,8,10,13,14],[3,4,7,9,10,12,14],[3,5,6,7,9,12,13],[3,5,6,8,10,11,12],[4,5,6,8,9,10,11]]; G[463]:=Group([(1,3,12)(2,11,4)(5,8,13)(6,7,14)]); # Design 464: autom. group order 3, simple, residual B[464]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,12],[1,2,6,9,11,13,14],[1,3,6,8,10,12,13],[1,3,6,9,11,12,14],[1,4,5,7,9,12,13],[1,4,6,7,8,10,14],[1,4,7,8,9,11,13],[1,5,7,10,12,13,14],[1,5,8,9,10,11,14],[2,3,7,8,9,13,14],[2,3,7,8,10,11,13],[2,4,5,6,11,13,14],[2,4,6,9,10,12,13],[2,4,8,9,10,12,14],[2,5,6,7,8,12,14],[2,5,7,9,10,11,12],[3,4,5,8,11,12,14],[3,4,6,7,9,10,14],[3,4,7,11,12,13,14],[3,5,6,7,9,10,11],[3,5,6,8,9,12,13],[4,5,6,8,10,11,13]]; G[464]:=Group([(1,10,11)(2,12,3)(5,9,14)(6,13,7)]); # Design 465: autom. group order 3, simple, residual B[465]:=[[1,2,3,4,5,6,7],[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],[1,2,6,9,11,12,14],[1,3,6,7,8,9,13],[1,3,6,8,10,11,14],[1,4,5,9,11,12,13],[1,4,6,7,10,13,14],[1,4,7,8,12,13,14],[1,5,7,8,9,10,12],[1,5,7,9,10,11,14],[2,3,7,9,10,12,13],[2,3,7,9,11,13,14],[2,4,5,6,7,12,14],[2,4,6,8,9,10,13],[2,4,7,8,9,11,14],[2,5,6,7,8,10,11],[2,5,8,10,12,13,14],[3,4,5,8,11,13,14],[3,4,6,9,10,12,14],[3,4,7,8,10,11,12],[3,5,6,7,11,12,13],[3,5,6,8,9,12,14],[4,5,6,9,10,11,13]]; G[465]:=Group([(1,10,14)(2,4,9)(3,6,11)(5,13,7)]); # Design 466: autom. group order 3, simple, residual B[466]:=[[1,2,3,4,5,6,7],[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],[1,3,6,7,9,11,14],[1,3,6,9,12,13,14],[1,4,5,7,11,12,14],[1,4,6,7,8,10,13],[1,4,7,8,9,10,14],[1,5,7,9,10,12,13],[1,5,8,9,11,12,13],[2,3,7,8,12,13,14],[2,3,7,9,10,11,13],[2,4,5,6,9,12,13],[2,4,7,9,11,13,14],[2,4,8,9,10,12,14],[2,5,6,7,8,9,11],[2,5,6,7,10,12,14],[3,4,5,8,11,13,14],[3,4,6,7,8,12,13],[3,4,6,9,10,11,12],[3,5,6,8,9,10,14],[3,5,7,8,10,11,12],[4,5,6,10,11,13,14]]; G[466]:=Group([(1,4,13)(2,14,12)(3,11,9)(6,10,7)]); # Design 467: autom. group order 3, simple, residual B[467]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,7,10,11,14],[1,3,8,9,10,12,13],[1,4,5,6,8,12,14],[1,4,6,9,10,11,13],[1,4,7,8,11,12,13],[1,5,7,9,12,13,14],[1,5,8,9,10,11,14],[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],[2,4,7,9,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,11,12],[3,4,5,7,9,11,13],[3,4,6,9,11,12,14],[3,4,7,8,10,12,14],[3,5,6,7,10,12,13],[3,5,6,8,11,13,14],[4,5,6,7,8,9,10]]; G[467]:=Group([(1,12,13)(3,11,14)(4,5,10)(7,9,8)]); # Design 468: autom. group order 3, simple B[468]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[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],[1,3,7,9,10,11,13],[1,4,5,6,9,12,13],[1,4,6,8,10,11,14],[1,4,7,8,9,11,14],[1,5,7,8,10,12,13],[1,5,9,11,12,13,14],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,5,7,11,12,14],[2,4,6,10,11,12,13],[2,4,7,8,9,10,13],[2,5,6,8,9,10,14],[2,5,8,9,10,11,12],[3,4,5,8,11,13,14],[3,4,6,8,9,12,13],[3,4,7,9,10,12,14],[3,5,6,7,8,11,12],[3,5,6,7,9,10,11],[4,5,6,7,10,13,14]]; G[468]:=Group([(1,9,11)(3,8,12)(4,5,10)(7,14,13)]); # Design 469: autom. group order 3, simple, residual B[469]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,8,9,12,14],[1,3,7,8,11,13,14],[1,4,5,6,12,13,14],[1,4,6,9,10,11,13],[1,4,7,10,11,12,14],[1,5,7,8,9,12,13],[1,5,8,9,10,11,12],[2,3,6,8,11,12,14],[2,3,7,9,10,12,13],[2,4,5,7,8,11,12],[2,4,6,8,9,11,13],[2,4,7,9,12,13,14],[2,5,6,9,10,12,14],[2,5,8,10,11,13,14],[3,4,5,9,11,13,14],[3,4,6,8,10,12,13],[3,4,7,8,9,10,14],[3,5,6,7,9,10,11],[3,5,6,7,11,12,13],[4,5,6,7,8,10,14]]; G[469]:=Group([(2,8,11)(3,9,10)(4,5,12)(6,13,14)]); # Design 470: autom. group order 3, simple B[470]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,10,14],[1,3,6,8,9,12,13],[1,3,7,8,9,11,14],[1,4,5,6,11,12,14],[1,4,6,8,10,12,14],[1,4,7,9,11,12,13],[1,5,7,8,10,12,13],[1,5,9,10,11,13,14],[2,3,6,10,11,12,13],[2,3,7,8,11,12,14],[2,4,5,7,9,12,13],[2,4,6,9,11,13,14],[2,4,7,8,10,13,14],[2,5,6,8,9,12,14],[2,5,8,9,10,11,12],[3,4,5,8,11,13,14],[3,4,6,8,9,10,13],[3,4,7,9,10,12,14],[3,5,6,7,9,10,11],[3,5,6,7,12,13,14],[4,5,6,7,8,10,11]]; G[470]:=Group([(1,9,11)(3,5,12)(4,8,10)(7,14,13)]); # Design 471: autom. group order 3, simple B[471]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,8,9,11,13],[1,3,7,8,9,12,14],[1,4,5,6,11,12,14],[1,4,6,8,10,12,14],[1,4,7,9,11,12,13],[1,5,7,8,10,12,13],[1,5,9,10,11,13,14],[2,3,6,8,11,12,13],[2,3,7,10,11,12,14],[2,4,5,7,9,12,13],[2,4,6,9,10,13,14],[2,4,7,8,11,13,14],[2,5,6,8,9,12,14],[2,5,8,9,10,11,12],[3,4,5,8,11,13,14],[3,4,6,9,10,12,13],[3,4,7,8,9,10,14],[3,5,6,7,9,10,11],[3,5,6,7,12,13,14],[4,5,6,7,8,10,11]]; G[471]:=Group([(1,9,11)(3,5,12)(4,8,10)(6,14,7)]); # Design 472: autom. group order 3, simple, residual B[472]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,10,11,14],[1,3,6,9,11,12,14],[1,3,7,8,9,10,12],[1,4,5,6,12,13,14],[1,4,6,8,9,10,13],[1,4,7,8,9,11,14],[1,5,7,9,12,13,14],[1,5,8,10,11,12,13],[2,3,6,8,9,13,14],[2,3,7,8,12,13,14],[2,4,5,8,11,12,14],[2,4,6,9,11,12,13],[2,4,7,9,10,12,14],[2,5,6,8,9,10,12],[2,5,7,9,10,11,13],[3,4,5,7,9,11,13],[3,4,6,7,10,12,13],[3,4,8,10,11,13,14],[3,5,6,7,8,11,12],[3,5,6,9,10,11,14],[4,5,6,7,8,10,14]]; G[472]:=Group([(1,3,13)(2,14,5)(4,8,12)(6,9,7)]); # Design 473: autom. group order 3, simple, residual B[473]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[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],[1,3,7,8,12,13,14],[1,4,5,6,9,12,13],[1,4,6,10,11,12,14],[1,4,7,9,10,11,13],[1,5,7,8,10,11,12],[1,5,8,9,11,13,14],[2,3,6,8,11,12,13],[2,3,7,9,10,11,14],[2,4,5,8,11,12,14],[2,4,6,8,10,13,14],[2,4,7,9,12,13,14],[2,5,6,9,10,11,13],[2,5,7,8,9,10,12],[3,4,5,7,11,13,14],[3,4,6,7,8,9,11],[3,4,8,9,10,12,13],[3,5,6,7,10,12,13],[3,5,6,9,11,12,14],[4,5,6,7,8,10,14]]; G[473]:=Group([(1,6,7)(3,13,9)(4,8,12)(5,11,14)]); # Design 474: autom. group order 3, simple, residual B[474]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[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],[1,3,7,8,11,12,13],[1,4,5,6,9,12,13],[1,4,6,10,11,12,14],[1,4,7,8,10,13,14],[1,5,7,9,10,11,13],[1,5,8,9,11,12,14],[2,3,6,8,12,13,14],[2,3,7,9,10,11,14],[2,4,5,8,11,13,14],[2,4,6,9,10,11,13],[2,4,7,9,12,13,14],[2,5,6,8,10,11,12],[2,5,7,8,9,10,12],[3,4,5,7,11,12,14],[3,4,6,7,8,9,11],[3,4,8,9,10,12,13],[3,5,6,7,10,12,13],[3,5,6,9,11,13,14],[4,5,6,7,8,10,14]]; G[474]:=Group([(1,2,7)(3,9,13)(4,12,8)(5,14,11)]); # Design 475: autom. group order 3, simple, residual B[475]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,11],[1,2,6,7,9,12,13],[1,3,6,8,11,12,14],[1,3,7,9,10,12,14],[1,4,5,6,11,13,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,13],[1,5,7,9,11,13,14],[1,5,8,10,11,12,13],[2,3,6,8,9,13,14],[2,3,7,8,11,13,14],[2,4,5,9,11,12,14],[2,4,6,9,10,11,13],[2,4,8,10,12,13,14],[2,5,6,7,10,12,14],[2,5,7,8,9,11,12],[3,4,5,7,8,12,13],[3,4,6,7,11,12,13],[3,4,7,9,10,11,14],[3,5,6,8,9,10,11],[3,5,6,9,10,12,13],[4,5,6,7,8,10,14]]; G[475]:=Group([(1,2,13)(3,14,5)(4,8,11)(6,9,7)]); # Design 476: autom. group order 3, simple, residual B[476]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,8,9,11,12],[1,3,7,8,11,12,13],[1,4,5,6,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,9,10,14],[1,5,7,9,12,13,14],[1,5,8,10,11,12,14],[2,3,6,8,12,13,14],[2,3,7,9,10,12,14],[2,4,5,9,11,12,13],[2,4,6,8,9,12,14],[2,4,8,10,11,13,14],[2,5,6,7,10,11,12],[2,5,7,8,9,11,13],[3,4,5,7,8,11,14],[3,4,6,7,11,13,14],[3,4,7,9,10,12,13],[3,5,6,8,9,10,13],[3,5,6,9,10,11,14],[4,5,6,7,8,10,12]]; G[476]:=Group([(2,11,14)(3,12,5)(4,8,13)(6,9,7)]); # Design 477: autom. group order 3, simple, residual B[477]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,14],[1,3,6,8,11,12,14],[1,3,7,9,11,12,13],[1,4,5,6,12,13,14],[1,4,6,8,9,10,11],[1,4,8,9,10,13,14],[1,5,7,8,9,10,12],[1,5,7,10,11,13,14],[2,3,6,8,10,12,13],[2,3,7,9,10,11,14],[2,4,5,9,11,12,14],[2,4,6,7,9,10,13],[2,4,7,8,12,13,14],[2,5,6,8,10,11,14],[2,5,8,9,11,12,13],[3,4,5,7,8,11,13],[3,4,6,9,11,13,14],[3,4,7,8,10,12,14],[3,5,6,7,8,9,14],[3,5,6,9,10,12,13],[4,5,6,7,10,11,12]]; G[477]:=Group([(2,8,13)(3,9,14)(4,10,5)(6,11,7)]); # Design 478: autom. group order 3, simple, residual B[478]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,11,12,14],[1,3,9,10,11,12,13],[1,4,5,6,11,13,14],[1,4,6,7,9,10,14],[1,4,7,8,10,12,14],[1,5,7,8,9,10,11],[1,5,8,9,12,13,14],[2,3,6,8,9,11,14],[2,3,7,9,10,13,14],[2,4,5,9,11,12,14],[2,4,6,8,9,10,12],[2,4,7,11,12,13,14],[2,5,6,8,10,12,13],[2,5,7,8,10,11,14],[3,4,5,7,8,12,13],[3,4,6,8,10,13,14],[3,4,7,8,9,11,13],[3,5,6,7,9,12,14],[3,5,6,7,10,11,12],[4,5,6,9,10,11,13]]; G[478]:=Group([(1,5,12)(2,7,11)(4,6,10)(8,14,13)]); # Design 479: autom. group order 3, simple, residual B[479]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,11,12,14],[1,3,9,10,11,12,13],[1,4,5,6,9,12,14],[1,4,6,7,10,13,14],[1,4,7,8,9,10,11],[1,5,7,8,10,12,14],[1,5,8,9,11,13,14],[2,3,6,8,9,10,14],[2,3,7,8,12,13,14],[2,4,5,11,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,11,12,14],[2,5,6,9,10,11,13],[2,5,7,8,9,10,12],[3,4,5,7,8,11,13],[3,4,6,8,9,12,13],[3,4,7,9,10,13,14],[3,5,6,7,9,11,14],[3,5,6,7,10,11,12],[4,5,6,8,10,12,13]]; G[479]:=Group([(1,5,11)(2,7,12)(4,6,10)(8,14,13)]); # Design 480: autom. group order 3, simple, residual B[480]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,9,11,12,13],[1,3,8,10,11,12,14],[1,4,5,6,11,13,14],[1,4,6,7,9,10,14],[1,4,7,9,10,12,13],[1,5,7,8,9,10,11],[1,5,8,9,12,13,14],[2,3,6,9,10,13,14],[2,3,7,8,9,11,14],[2,4,5,9,11,12,14],[2,4,6,8,9,10,12],[2,4,7,11,12,13,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,13],[3,4,5,7,8,12,13],[3,4,6,8,9,11,13],[3,4,7,8,10,13,14],[3,5,6,7,9,12,14],[3,5,6,7,10,11,12],[4,5,6,8,10,11,14]]; G[480]:=Group([(1,5,12)(2,7,11)(4,6,10)(8,9,14)]); # Design 481: autom. group order 3, simple, residual B[481]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,8,12,14],[1,3,6,9,11,12,14],[1,3,8,10,11,12,13],[1,4,5,6,9,11,13],[1,4,6,7,10,13,14],[1,4,7,8,9,10,12],[1,5,7,9,10,11,14],[1,5,8,9,12,13,14],[2,3,6,8,9,11,14],[2,3,7,9,10,13,14],[2,4,5,11,12,13,14],[2,4,6,9,10,12,14],[2,4,7,9,11,12,13],[2,5,6,8,10,12,13],[2,5,7,8,9,10,11],[3,4,5,7,8,12,14],[3,4,6,8,9,10,13],[3,4,7,8,11,13,14],[3,5,6,7,9,12,13],[3,5,6,7,10,11,12],[4,5,6,8,10,11,14]]; G[481]:=Group([(1,5,12)(2,7,11)(4,6,10)(8,9,13)]); # Design 482: autom. group order 3, simple, residual B[482]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,7,9,12,13],[1,3,6,8,9,10,11],[1,3,8,11,12,13,14],[1,4,5,6,11,12,14],[1,4,6,8,10,13,14],[1,4,7,9,11,12,14],[1,5,7,8,9,10,14],[1,5,7,9,10,12,13],[2,3,6,9,12,13,14],[2,3,7,9,10,11,14],[2,4,5,9,11,13,14],[2,4,6,8,9,10,12],[2,4,7,8,10,12,14],[2,5,6,7,8,11,14],[2,5,8,10,11,12,13],[3,4,5,7,8,12,13],[3,4,6,7,10,13,14],[3,4,7,8,9,11,13],[3,5,6,7,10,11,12],[3,5,6,8,9,12,14],[4,5,6,9,10,11,13]]; G[482]:=Group([(1,2,12)(3,10,11)(5,8,14)(6,9,7)]); # Design 483: autom. group order 3, simple, residual B[483]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,7,8,11,12,13],[1,4,5,6,8,12,14],[1,4,6,7,9,13,14],[1,4,8,9,10,11,14],[1,5,7,10,11,12,14],[1,5,8,9,10,12,13],[2,3,6,8,10,11,14],[2,3,7,8,9,12,14],[2,4,5,9,11,12,13],[2,4,6,8,11,12,13],[2,4,7,10,12,13,14],[2,5,6,7,9,10,12],[2,5,7,8,9,11,14],[3,4,5,7,11,13,14],[3,4,6,9,10,12,14],[3,4,7,8,9,10,13],[3,5,6,8,12,13,14],[3,5,6,9,10,11,13],[4,5,6,7,8,10,11]]; G[483]:=Group([(1,2,12)(3,4,11)(5,13,7)(6,9,8)]); # Design 484: autom. group order 3, simple, residual B[484]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,7,9,11,12],[1,3,7,8,11,12,13],[1,4,5,6,12,13,14],[1,4,6,7,9,13,14],[1,4,8,9,10,12,14],[1,5,7,10,11,12,14],[1,5,8,9,10,11,13],[2,3,6,8,10,12,14],[2,3,7,9,12,13,14],[2,4,5,9,11,12,13],[2,4,6,8,11,12,13],[2,4,7,10,11,13,14],[2,5,6,7,9,10,11],[2,5,7,8,9,12,14],[3,4,5,7,8,11,14],[3,4,6,9,10,11,14],[3,4,7,8,9,10,13],[3,5,6,8,11,13,14],[3,5,6,9,10,12,13],[4,5,6,7,8,10,12]]; G[484]:=Group([(1,2,11)(3,4,12)(5,13,7)(6,9,8)]); # Design 485: autom. group order 3, simple B[485]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,12,13,14],[1,3,6,7,8,12,14],[1,3,7,9,11,13,14],[1,4,5,6,11,12,13],[1,4,6,8,9,10,14],[1,4,7,10,11,12,14],[1,5,7,8,9,10,13],[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],[2,4,6,9,10,11,13],[2,4,7,8,9,12,13],[2,5,6,8,10,12,14],[2,5,7,9,11,12,14],[3,4,5,9,12,13,14],[3,4,6,8,9,11,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[485]:=Group([(2,9,12)(3,8,11)(4,5,10)(6,13,14)]); # Design 486: autom. group order 3, simple, residual B[486]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[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],[1,4,5,6,11,12,14],[1,4,6,8,9,10,13],[1,4,7,10,11,12,13],[1,5,7,8,9,10,14],[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],[2,4,7,8,9,12,14],[2,5,6,7,8,10,11],[2,5,7,9,11,12,13],[3,4,5,7,8,12,13],[3,4,6,8,9,11,13],[3,4,7,9,10,11,14],[3,5,6,8,11,12,14],[3,5,6,9,10,12,13],[4,5,6,7,10,13,14]]; G[486]:=Group([(2,9,12)(3,8,11)(4,5,10)(6,14,13)]); # Design 487: autom. group order 3, simple, residual B[487]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,11,14],[1,3,7,8,10,13,14],[1,4,5,6,12,13,14],[1,4,6,9,10,11,14],[1,4,7,10,11,12,13],[1,5,7,8,9,12,14],[1,5,8,9,10,11,12],[2,3,6,7,9,10,12],[2,3,8,11,12,13,14],[2,4,5,9,11,13,14],[2,4,6,8,10,12,14],[2,4,7,8,9,10,14],[2,5,6,7,11,12,14],[2,5,7,9,10,11,13],[3,4,5,7,8,11,12],[3,4,6,8,9,11,13],[3,4,7,9,12,13,14],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13],[4,5,6,7,8,10,13]]; G[487]:=Group([(2,9,10)(3,8,11)(4,5,12)(6,14,13)]); # Design 488: autom. group order 3, simple, residual B[488]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,7,9,10,14],[1,3,7,8,9,11,12],[1,4,5,6,8,12,13],[1,4,6,9,11,12,14],[1,4,7,8,10,13,14],[1,5,7,9,10,12,13],[1,5,8,9,11,13,14],[2,3,6,9,12,13,14],[2,3,7,8,12,13,14],[2,4,5,7,9,11,14],[2,4,6,7,8,9,13],[2,4,8,9,10,12,14],[2,5,6,9,10,11,13],[2,5,7,8,10,11,12],[3,4,5,11,12,13,14],[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],[4,5,6,7,10,12,14]]; G[488]:=Group([(1,11,14)(2,4,13)(5,10,12)(6,9,8)]); # Design 489: autom. group order 3, simple, residual B[489]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,7,8,9,10,12],[1,4,5,6,8,12,13],[1,4,6,9,10,13,14],[1,4,7,8,11,12,14],[1,5,7,9,10,12,13],[1,5,8,9,11,13,14],[2,3,6,9,12,13,14],[2,3,7,8,12,13,14],[2,4,5,7,9,11,14],[2,4,6,7,8,9,13],[2,4,8,9,10,12,14],[2,5,6,9,10,11,12],[2,5,7,8,10,11,13],[3,4,5,11,12,13,14],[3,4,6,8,10,11,13],[3,4,7,9,10,11,13],[3,5,6,7,8,10,14],[3,5,6,8,9,11,12],[4,5,6,7,10,12,14]]; G[489]:=Group([(1,11,14)(2,4,13)(5,10,12)(6,7,9)]); # Design 490: autom. group order 3, simple, residual B[490]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,10,11,13],[1,2,6,8,11,12,13],[1,3,6,7,9,11,14],[1,3,7,8,9,10,12],[1,4,5,6,12,13,14],[1,4,6,8,9,10,14],[1,4,7,8,9,11,13],[1,5,7,9,12,13,14],[1,5,8,10,11,12,14],[2,3,6,8,9,13,14],[2,3,7,8,12,13,14],[2,4,5,7,8,11,14],[2,4,6,9,11,12,14],[2,4,7,9,10,12,13],[2,5,6,8,9,10,12],[2,5,7,9,10,11,14],[3,4,5,9,11,12,13],[3,4,6,7,10,12,14],[3,4,8,10,11,13,14],[3,5,6,7,8,11,12],[3,5,6,9,10,11,13],[4,5,6,7,8,10,13]]; G[490]:=Group([(1,3,14)(2,13,5)(4,8,12)(6,9,7)]); # Design 491: autom. group order 3, simple, residual B[491]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,7,8,12,14],[1,3,7,9,10,12,13],[1,4,5,6,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,7,9,11,13,14],[1,5,8,10,11,12,14],[2,3,6,8,9,13,14],[2,3,7,8,11,13,14],[2,4,5,7,9,12,14],[2,4,6,9,10,11,14],[2,4,8,10,12,13,14],[2,5,6,7,10,12,13],[2,5,7,8,9,11,12],[3,4,5,8,11,12,13],[3,4,6,7,11,12,14],[3,4,7,9,10,11,13],[3,5,6,8,9,10,11],[3,5,6,9,10,12,14],[4,5,6,7,8,10,13]]; G[491]:=Group([(1,2,14)(3,13,5)(4,8,11)(6,9,7)]); # Design 492: autom. group order 3, simple B[492]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[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],[1,4,5,6,11,12,14],[1,4,6,8,9,10,13],[1,4,7,10,11,12,13],[1,5,7,8,9,10,14],[1,5,8,9,10,11,12],[2,3,6,8,10,11,14],[2,3,7,9,10,12,13],[2,4,5,8,12,13,14],[2,4,6,7,8,9,12],[2,4,7,8,10,11,14],[2,5,6,9,10,11,13],[2,5,7,9,11,12,14],[3,4,5,7,9,11,13],[3,4,6,9,10,12,14],[3,4,8,9,11,13,14],[3,5,6,7,8,10,12],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[492]:=Group([(2,9,12)(3,8,11)(4,5,10)(6,14,13)]); # Design 493: autom. group order 3, simple, residual B[493]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,7,8,13,14],[1,3,7,9,11,13,14],[1,4,5,6,11,12,14],[1,4,6,9,10,11,13],[1,4,7,10,12,13,14],[1,5,7,8,9,11,12],[1,5,8,9,10,12,14],[2,3,6,9,10,12,14],[2,3,7,8,11,12,14],[2,4,5,8,11,13,14],[2,4,6,7,9,12,14],[2,4,7,8,9,10,13],[2,5,6,9,11,13,14],[2,5,7,10,11,12,13],[3,4,5,7,9,12,13],[3,4,6,8,11,12,13],[3,4,8,9,10,11,14],[3,5,6,7,9,10,11],[3,5,6,8,10,12,13],[4,5,6,7,8,10,14]]; G[493]:=Group([(1,2,13)(3,5,14)(4,11,7)(6,8,9)]); # Design 494: autom. group order 3, simple, residual B[494]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,7,9,10,14],[1,3,7,11,12,13,14],[1,4,5,6,12,13,14],[1,4,6,8,9,12,14],[1,4,7,8,10,11,13],[1,5,7,8,9,11,14],[1,5,8,9,10,12,13],[2,3,6,8,9,12,13],[2,3,7,8,12,13,14],[2,4,5,8,11,13,14],[2,4,6,7,8,10,14],[2,4,9,10,11,12,14],[2,5,6,7,9,11,13],[2,5,7,9,10,12,14],[3,4,5,7,9,11,12],[3,4,6,9,11,13,14],[3,4,7,8,9,10,13],[3,5,6,8,10,11,12],[3,5,6,8,10,11,14],[4,5,6,7,10,12,13]]; G[494]:=Group([(1,7,9)(2,4,13)(3,10,6)(5,8,11)]); # Design 495: autom. group order 3, simple, residual B[495]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,10,11,14],[1,3,6,7,9,10,12],[1,3,7,11,12,13,14],[1,4,5,6,12,13,14],[1,4,6,8,9,12,13],[1,4,7,8,10,11,14],[1,5,7,8,9,11,12],[1,5,8,9,10,13,14],[2,3,6,8,9,12,14],[2,3,7,8,12,13,14],[2,4,5,8,11,12,14],[2,4,6,7,8,10,13],[2,4,9,10,11,12,13],[2,5,6,7,9,11,14],[2,5,7,9,10,12,13],[3,4,5,7,9,11,13],[3,4,6,9,11,13,14],[3,4,7,8,9,10,14],[3,5,6,8,10,11,12],[3,5,6,8,10,11,13],[4,5,6,7,10,12,14]]; G[495]:=Group([(1,7,9)(2,4,14)(3,10,6)(5,8,11)]); # Design 496: autom. group order 3, simple, residual B[496]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,7,9,11,14],[1,3,7,8,10,13,14],[1,4,5,6,12,13,14],[1,4,6,9,10,11,14],[1,4,7,10,11,12,13],[1,5,7,8,9,12,14],[1,5,8,9,10,11,12],[2,3,6,8,11,12,14],[2,3,7,9,10,12,14],[2,4,5,9,11,13,14],[2,4,6,8,10,12,14],[2,4,7,8,9,10,13],[2,5,6,7,9,10,11],[2,5,7,11,12,13,14],[3,4,5,7,8,11,12],[3,4,6,7,9,12,13],[3,4,8,9,11,13,14],[3,5,6,8,10,11,13],[3,5,6,9,10,12,13],[4,5,6,7,8,10,14]]; G[496]:=Group([(2,9,10)(3,8,11)(4,5,12)(6,14,13)]); # Design 497: autom. group order 3, simple, residual B[497]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,14],[1,3,6,7,9,12,13],[1,3,7,8,11,12,14],[1,4,5,6,12,13,14],[1,4,6,8,9,10,11],[1,4,8,9,10,13,14],[1,5,7,8,9,10,12],[1,5,7,10,11,13,14],[2,3,6,7,9,10,14],[2,3,8,10,11,12,13],[2,4,5,7,8,11,14],[2,4,6,8,12,13,14],[2,4,7,9,10,12,14],[2,5,6,9,10,11,13],[2,5,7,8,9,12,13],[3,4,5,9,11,12,13],[3,4,6,7,8,10,13],[3,4,7,9,11,13,14],[3,5,6,8,9,11,14],[3,5,6,8,10,12,14],[4,5,6,7,10,11,12]]; G[497]:=Group([(2,8,13)(3,9,14)(4,10,5)(6,11,7)]); # Design 498: autom. group order 3, simple B[498]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,14],[1,3,6,7,9,12,13],[1,3,7,8,11,12,14],[1,4,5,6,12,13,14],[1,4,6,8,9,10,11],[1,4,8,9,10,13,14],[1,5,7,8,9,10,12],[1,5,7,10,11,13,14],[2,3,6,8,10,12,13],[2,3,7,9,10,11,14],[2,4,5,7,9,11,13],[2,4,6,7,8,10,14],[2,4,7,8,12,13,14],[2,5,6,9,10,12,14],[2,5,8,9,11,12,13],[3,4,5,8,11,12,14],[3,4,6,9,11,13,14],[3,4,7,9,10,12,13],[3,5,6,7,8,9,14],[3,5,6,8,10,11,13],[4,5,6,7,10,11,12]]; G[498]:=Group([(2,8,13)(3,9,14)(4,10,5)(6,11,7)]); # Design 499: autom. group order 3, simple, residual B[499]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,14],[1,3,6,7,8,12,14],[1,3,7,9,11,12,13],[1,4,5,6,11,13,14],[1,4,6,8,9,10,12],[1,4,8,9,10,13,14],[1,5,7,8,9,10,11],[1,5,7,10,12,13,14],[2,3,6,9,10,12,13],[2,3,7,8,10,11,14],[2,4,5,8,11,12,13],[2,4,6,7,9,13,14],[2,4,7,9,10,11,14],[2,5,6,8,10,12,14],[2,5,7,8,9,12,13],[3,4,5,7,9,12,14],[3,4,6,7,8,10,13],[3,4,8,11,12,13,14],[3,5,6,8,9,11,14],[3,5,6,9,10,11,13],[4,5,6,7,10,11,12]]; G[499]:=Group([(2,9,13)(3,8,14)(4,10,5)(6,12,7)]); # Design 500: autom. group order 3, simple, residual B[500]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,8,10,11,14],[1,3,7,9,10,12,13],[1,4,5,6,7,12,14],[1,4,6,9,10,11,13],[1,4,7,8,11,12,13],[1,5,7,9,10,11,14],[1,5,8,9,12,13,14],[2,3,6,7,9,12,13],[2,3,7,8,9,11,14],[2,4,5,11,12,13,14],[2,4,6,9,10,13,14],[2,4,7,8,10,13,14],[2,5,6,8,10,11,12],[2,5,7,9,10,11,12],[3,4,5,8,9,11,13],[3,4,6,9,11,12,14],[3,4,7,8,10,12,14],[3,5,6,7,11,13,14],[3,5,6,8,10,12,13],[4,5,6,7,8,9,10]]; G[500]:=Group([(1,12,13)(3,11,14)(4,5,10)(7,8,9)]); # Design 501: autom. group order 3, simple, residual B[501]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,7,8,9,11,12],[1,4,5,6,7,12,14],[1,4,6,9,11,12,13],[1,4,7,8,10,13,14],[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],[2,4,5,8,9,11,13],[2,4,6,7,8,9,14],[2,4,7,9,10,12,13],[2,5,6,9,10,11,14],[2,5,7,8,10,11,12],[3,4,5,11,12,13,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,14],[3,5,6,7,8,11,13],[3,5,6,7,9,10,12],[4,5,6,8,10,12,13]]; G[501]:=Group([(1,11,13)(2,4,14)(5,10,12)(6,9,7)]); # Design 502: autom. group order 3, simple, residual B[502]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,8,9,11,13],[1,3,7,8,9,10,12],[1,4,5,6,7,12,14],[1,4,6,9,10,13,14],[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],[2,4,5,8,9,11,13],[2,4,6,7,8,9,14],[2,4,7,9,10,12,13],[2,5,6,9,10,11,12],[2,5,7,8,10,11,14],[3,4,5,11,12,13,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,14],[3,5,6,7,8,10,13],[3,5,6,7,9,11,12],[4,5,6,8,10,12,13]]; G[502]:=Group([(1,11,13)(2,4,14)(5,10,12)(6,8,9)]); # Design 503: autom. group order 3, simple, residual B[503]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,7,8,11,13,14],[1,4,5,6,7,12,14],[1,4,6,10,11,12,14],[1,4,7,9,10,11,13],[1,5,7,8,9,12,14],[1,5,8,9,10,11,12],[2,3,6,8,11,12,14],[2,3,7,9,10,12,14],[2,4,5,8,11,12,13],[2,4,6,7,8,9,11],[2,4,7,9,12,13,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,9,11,13,14],[3,4,6,8,9,10,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,7,11,12,13],[4,5,6,8,10,13,14]]; G[503]:=Group([(2,8,11)(3,9,10)(4,5,12)(6,7,14)]); # Design 504: autom. group order 3, simple, residual B[504]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,14],[1,3,6,8,9,12,14],[1,3,7,8,9,11,13],[1,4,5,6,7,12,13],[1,4,6,9,10,13,14],[1,4,8,10,11,12,13],[1,5,7,8,10,11,14],[1,5,7,9,10,12,14],[2,3,6,8,10,13,14],[2,3,7,9,10,12,13],[2,4,5,8,9,11,14],[2,4,6,7,10,11,14],[2,4,7,8,9,10,12],[2,5,6,9,11,12,13],[2,5,7,8,12,13,14],[3,4,5,11,12,13,14],[3,4,6,7,8,12,14],[3,4,7,9,11,13,14],[3,5,6,7,9,10,11],[3,5,6,8,10,11,12],[4,5,6,8,9,10,13]]; G[504]:=Group([(1,3,9)(2,7,14)(4,11,6)(5,13,12)]); # Design 505: autom. group order 3, simple, residual B[505]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,7,8,12,13,14],[1,4,5,6,11,12,13],[1,4,6,7,9,12,14],[1,4,7,10,11,13,14],[1,5,7,8,9,11,13],[1,5,8,9,10,11,12],[2,3,6,7,8,11,12],[2,3,7,9,11,12,13],[2,4,5,8,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,9,10,14],[2,5,6,9,12,13,14],[2,5,7,10,11,12,14],[3,4,5,7,9,11,14],[3,4,6,8,11,13,14],[3,4,8,9,10,12,13],[3,5,6,7,9,10,13],[3,5,6,8,10,11,14],[4,5,6,7,8,10,12]]; G[505]:=Group([(1,11,14)(3,12,5)(4,7,13)(6,9,8)]); # Design 506: autom. group order 3, simple, residual B[506]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,12],[1,2,6,8,10,11,13],[1,3,6,9,10,11,14],[1,3,7,8,9,12,13],[1,4,5,6,12,13,14],[1,4,6,7,9,11,14],[1,4,7,8,9,10,13],[1,5,7,9,10,12,14],[1,5,8,11,12,13,14],[2,3,6,7,12,13,14],[2,3,7,9,11,13,14],[2,4,5,9,11,12,13],[2,4,6,8,9,12,14],[2,4,7,8,10,13,14],[2,5,6,8,9,10,14],[2,5,7,9,10,11,12],[3,4,5,7,8,11,14],[3,4,6,9,10,12,13],[3,4,8,10,11,12,14],[3,5,6,7,8,10,12],[3,5,6,8,9,11,13],[4,5,6,7,10,11,13]]; G[506]:=Group([(1,2,14)(3,13,5)(4,7,12)(8,9,11)]); # Design 507: autom. group order 3, simple, residual B[507]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,9,11],[1,2,6,8,10,12,13],[1,3,6,9,10,12,14],[1,3,7,8,9,11,13],[1,4,5,6,11,13,14],[1,4,6,7,8,12,14],[1,4,7,9,10,12,13],[1,5,7,9,10,11,14],[1,5,8,11,12,13,14],[2,3,6,7,11,13,14],[2,3,7,9,12,13,14],[2,4,5,9,11,12,13],[2,4,6,9,11,12,14],[2,4,7,8,10,13,14],[2,5,6,8,9,10,14],[2,5,7,8,10,11,12],[3,4,5,7,8,12,14],[3,4,6,8,10,11,13],[3,4,8,9,10,11,14],[3,5,6,7,10,11,12],[3,5,6,8,9,12,13],[4,5,6,7,9,10,13]]; G[507]:=Group([(1,2,14)(3,13,5)(4,7,11)(8,9,12)]); # Design 508: autom. group order 3, simple, residual B[508]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,9,11,12,14],[1,3,7,8,9,10,12],[1,4,5,6,9,12,13],[1,4,6,7,10,11,14],[1,4,7,8,11,12,13],[1,5,7,8,12,13,14],[1,5,8,9,10,11,14],[2,3,6,8,12,13,14],[2,3,7,9,11,12,13],[2,4,5,7,11,12,14],[2,4,6,7,8,9,14],[2,4,8,9,10,11,13],[2,5,6,8,10,11,12],[2,5,7,9,10,12,14],[3,4,5,8,11,13,14],[3,4,6,8,10,12,14],[3,4,7,9,10,13,14],[3,5,6,7,8,9,11],[3,5,6,7,10,11,13],[4,5,6,9,10,12,13]]; G[508]:=Group([(2,8,11)(3,7,14)(4,13,9)(5,12,6)]); # Design 509: autom. group order 3, simple, residual B[509]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,11,12,14],[1,3,6,9,11,13,14],[1,3,7,8,9,10,14],[1,4,5,6,9,12,13],[1,4,6,7,10,13,14],[1,4,7,9,11,12,14],[1,5,7,8,10,12,13],[1,5,8,9,10,11,12],[2,3,6,8,9,12,13],[2,3,7,10,11,12,13],[2,4,5,7,8,11,14],[2,4,6,7,9,10,12],[2,4,8,9,10,13,14],[2,5,6,9,10,11,14],[2,5,7,9,12,13,14],[3,4,5,11,12,13,14],[3,4,6,8,10,12,14],[3,4,7,8,9,11,13],[3,5,6,7,8,12,14],[3,5,6,7,9,10,11],[4,5,6,8,10,11,13]]; G[509]:=Group([(1,11,12)(2,10,8)(3,5,6)(4,9,14)]); # Design 510: autom. group order 3, simple, residual B[510]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,9,12,13,14],[1,3,7,8,9,10,14],[1,4,5,6,9,11,14],[1,4,6,7,10,12,13],[1,4,7,8,11,12,14],[1,5,7,8,11,13,14],[1,5,8,9,10,12,13],[2,3,6,8,11,13,14],[2,3,7,9,11,12,14],[2,4,5,7,12,13,14],[2,4,6,8,10,13,14],[2,4,8,9,10,12,14],[2,5,6,7,8,9,12],[2,5,7,9,10,11,13],[3,4,5,8,11,12,13],[3,4,6,7,8,9,13],[3,4,7,9,10,11,13],[3,5,6,7,10,12,14],[3,5,6,8,10,11,12],[4,5,6,9,10,11,14]]; G[510]:=Group([(2,7,12)(3,8,13)(4,11,6)(5,14,9)]); # Design 511: autom. group order 3, simple, residual B[511]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,10,13],[1,2,6,9,10,11,14],[1,3,6,8,9,11,12],[1,3,7,8,11,12,14],[1,4,5,6,12,13,14],[1,4,6,7,8,9,14],[1,4,7,9,10,11,13],[1,5,7,9,12,13,14],[1,5,8,10,11,12,13],[2,3,6,8,12,13,14],[2,3,7,9,11,13,14],[2,4,5,9,11,12,14],[2,4,6,7,11,12,13],[2,4,7,8,10,12,14],[2,5,6,8,9,11,13],[2,5,7,8,9,10,12],[3,4,5,7,8,11,13],[3,4,6,9,10,12,13],[3,4,8,9,10,13,14],[3,5,6,7,9,10,12],[3,5,6,7,10,11,14],[4,5,6,8,10,11,14]]; G[511]:=Group([(2,11,13)(3,12,5)(4,8,14)(6,9,7)]); # Design 512: autom. group order 3, simple, residual B[512]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,8,11,12,13],[1,3,7,8,11,12,14],[1,4,5,6,9,12,14],[1,4,6,7,9,10,11],[1,4,7,8,9,13,14],[1,5,7,10,12,13,14],[1,5,8,9,10,11,12],[2,3,6,8,9,12,14],[2,3,7,9,10,11,14],[2,4,5,11,12,13,14],[2,4,6,8,10,12,13],[2,4,7,9,11,12,13],[2,5,6,7,8,11,14],[2,5,7,8,9,10,12],[3,4,5,7,8,11,13],[3,4,6,7,10,12,14],[3,4,8,9,10,13,14],[3,5,6,7,9,12,13],[3,5,6,9,10,11,13],[4,5,6,8,10,11,14]]; G[512]:=Group([(1,2,12)(3,4,11)(5,13,8)(6,9,14)]); # Design 513: autom. group order 3, simple, residual B[513]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,12],[1,2,6,8,9,10,13],[1,3,6,8,10,11,14],[1,3,7,9,12,13,14],[1,4,5,6,12,13,14],[1,4,6,7,9,11,14],[1,4,7,9,10,11,13],[1,5,7,8,9,10,12],[1,5,8,11,12,13,14],[2,3,6,9,11,13,14],[2,3,7,8,11,12,13],[2,4,5,9,11,12,13],[2,4,6,8,9,12,14],[2,4,7,8,10,13,14],[2,5,6,7,10,12,14],[2,5,7,9,10,11,14],[3,4,5,7,8,11,14],[3,4,6,7,10,12,13],[3,4,8,9,10,12,14],[3,5,6,7,8,9,13],[3,5,6,9,10,11,12],[4,5,6,8,10,11,13]]; G[513]:=Group([(1,2,14)(3,10,13)(4,7,12)(8,9,11)]); # Design 514: autom. group order 3, simple, residual B[514]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,14],[1,3,6,9,10,12,13],[1,3,7,8,10,11,14],[1,4,5,6,9,11,14],[1,4,6,7,8,10,13],[1,4,8,11,12,13,14],[1,5,7,8,9,12,14],[1,5,7,9,10,12,13],[2,3,6,7,8,12,14],[2,3,7,9,11,12,13],[2,4,5,7,12,13,14],[2,4,6,8,9,10,12],[2,4,8,9,10,13,14],[2,5,6,10,11,13,14],[2,5,7,8,9,10,11],[3,4,5,8,11,12,13],[3,4,6,7,9,13,14],[3,4,7,9,10,11,14],[3,5,6,8,9,11,13],[3,5,6,8,10,12,14],[4,5,6,7,10,11,12]]; G[514]:=Group([(1,8,14)(3,9,13)(4,10,5)(7,12,11)]); # Design 515: autom. group order 3, simple, residual B[515]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,8,10,12,14],[1,3,7,9,11,12,14],[1,4,5,6,11,13,14],[1,4,6,7,9,11,13],[1,4,8,9,10,13,14],[1,5,7,8,9,12,14],[1,5,7,10,11,12,13],[2,3,6,7,9,13,14],[2,3,7,8,11,13,14],[2,4,5,9,11,12,14],[2,4,6,8,11,12,14],[2,4,7,10,12,13,14],[2,5,6,7,9,10,12],[2,5,8,9,10,11,13],[3,4,5,7,8,12,13],[3,4,6,9,10,12,13],[3,4,7,8,9,10,11],[3,5,6,8,11,12,13],[3,5,6,9,10,11,14],[4,5,6,7,8,10,14]]; G[515]:=Group([(1,12,13)(3,4,14)(5,11,7)(6,9,8)]); # Design 516: autom. group order 3, simple, residual B[516]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,8,10,12,13],[1,3,7,9,10,11,14],[1,4,5,6,9,11,13],[1,4,6,7,10,12,14],[1,4,8,9,11,12,14],[1,5,7,8,11,13,14],[1,5,7,9,10,12,13],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,11,12,13,14],[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],[3,4,5,7,8,12,14],[3,4,6,7,11,12,13],[3,4,8,9,10,11,13],[3,5,6,8,10,11,14],[3,5,6,9,12,13,14],[4,5,6,7,8,9,10]]; G[516]:=Group([(1,11,14)(3,12,13)(4,5,10)(7,9,8)]); # Design 517: autom. group order 3, simple, residual B[517]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,8,11,13,14],[1,3,7,8,12,13,14],[1,4,5,6,9,12,14],[1,4,6,7,10,13,14],[1,4,8,9,10,11,14],[1,5,7,8,9,10,11],[1,5,7,9,10,12,13],[2,3,6,7,9,10,14],[2,3,8,9,10,12,13],[2,4,5,8,11,13,14],[2,4,6,7,8,9,13],[2,4,7,8,10,12,14],[2,5,6,10,11,12,14],[2,5,7,9,11,13,14],[3,4,5,7,11,12,13],[3,4,6,9,10,11,13],[3,4,7,9,11,12,14],[3,5,6,7,8,10,11],[3,5,6,8,9,12,14],[4,5,6,8,10,12,13]]; G[517]:=Group([(1,5,11)(3,14,12)(4,13,6)(7,8,9)]); # Design 518: autom. group order 3, simple, residual B[518]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,8,11,13,14],[1,3,7,9,12,13,14],[1,4,5,6,9,12,14],[1,4,6,8,10,13,14],[1,4,7,9,10,11,14],[1,5,7,8,9,10,11],[1,5,7,8,10,12,13],[2,3,6,7,9,10,14],[2,3,8,9,10,12,13],[2,4,5,8,11,13,14],[2,4,6,7,8,9,13],[2,4,7,8,10,12,14],[2,5,6,10,11,12,14],[2,5,7,9,11,13,14],[3,4,5,7,11,12,13],[3,4,6,7,10,11,13],[3,4,8,9,11,12,14],[3,5,6,7,8,12,14],[3,5,6,8,9,10,11],[4,5,6,9,10,12,13]]; G[518]:=Group([(1,5,11)(3,14,12)(4,13,6)(7,8,9)]); # Design 519: autom. group order 3, simple, residual B[519]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,9,11,13,14],[1,3,7,8,9,10,12],[1,4,5,6,9,12,13],[1,4,6,8,10,11,14],[1,4,7,8,12,13,14],[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],[2,4,6,7,10,12,14],[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],[3,4,8,9,10,13,14],[3,5,6,7,10,11,13],[3,5,6,8,10,12,14],[4,5,6,9,10,12,13]]; G[519]:=Group([(2,7,11)(3,8,14)(4,13,9)(5,12,6)]); # Design 520: autom. group order 3, simple, residual B[520]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,8,11,13,14],[1,3,8,9,12,13,14],[1,4,5,6,9,12,14],[1,4,6,7,10,13,14],[1,4,7,9,10,11,14],[1,5,7,8,9,10,11],[1,5,7,8,10,12,13],[2,3,6,7,8,10,14],[2,3,7,9,10,12,13],[2,4,5,8,11,13,14],[2,4,6,7,8,9,13],[2,4,8,9,10,12,14],[2,5,6,10,11,12,14],[2,5,7,9,11,13,14],[3,4,5,7,11,12,13],[3,4,6,9,10,11,13],[3,4,7,8,11,12,14],[3,5,6,7,9,12,14],[3,5,6,8,9,10,11],[4,5,6,8,10,12,13]]; G[520]:=Group([(1,5,11)(3,14,12)(4,13,6)(7,8,9)]); # Design 521: autom. group order 3, simple, residual B[521]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,8,11,12,13],[1,3,8,9,10,12,13],[1,4,5,6,9,12,14],[1,4,6,7,8,10,11],[1,4,7,9,10,12,14],[1,5,7,8,11,12,14],[1,5,7,9,10,11,13],[2,3,6,7,9,10,11],[2,3,7,8,9,12,14],[2,4,5,8,11,12,13],[2,4,6,10,12,13,14],[2,4,7,9,11,12,13],[2,5,6,7,8,10,12],[2,5,8,9,10,11,14],[3,4,5,7,11,13,14],[3,4,6,8,9,11,14],[3,4,7,8,10,13,14],[3,5,6,7,9,12,13],[3,5,6,10,11,12,14],[4,5,6,8,9,10,13]]; G[521]:=Group([(1,4,13)(3,12,14)(5,11,6)(7,8,9)]); # Design 522: autom. group order 3, simple, residual B[522]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,9,12,13,14],[1,3,8,9,10,11,14],[1,4,5,6,11,13,14],[1,4,6,7,8,10,12],[1,4,7,9,10,12,14],[1,5,7,8,9,11,14],[1,5,7,10,11,12,13],[2,3,6,7,9,10,11],[2,3,7,11,12,13,14],[2,4,5,8,11,12,14],[2,4,6,9,11,12,14],[2,4,7,8,10,13,14],[2,5,6,7,9,10,14],[2,5,8,9,10,12,13],[3,4,5,7,9,12,13],[3,4,6,8,10,13,14],[3,4,7,8,9,11,13],[3,5,6,7,8,12,14],[3,5,6,8,10,11,12],[4,5,6,9,10,11,13]]; G[522]:=Group([(1,2,12)(3,11,10)(5,14,7)(6,8,9)]); # Design 523: autom. group order 3, simple, residual B[523]:=[[1,2,3,4,5,6,7],[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],[1,3,6,7,9,12,13],[1,3,7,8,10,13,14],[1,4,5,6,7,11,14],[1,4,6,10,11,12,14],[1,4,7,9,10,12,13],[1,5,7,8,9,11,14],[1,5,8,9,10,11,12],[2,3,6,9,10,11,14],[2,3,7,8,11,12,14],[2,4,5,9,12,13,14],[2,4,6,7,8,9,10],[2,4,7,8,10,11,13],[2,5,6,7,11,12,13],[2,5,7,9,10,12,14],[3,4,5,8,11,12,13],[3,4,6,8,9,12,14],[3,4,7,9,11,13,14],[3,5,6,7,8,10,12],[3,5,6,9,10,11,13],[4,5,6,8,10,13,14]]; G[523]:=Group([(2,9,10)(3,8,12)(4,5,11)(6,7,14)]); # Design 524: autom. group order 3, simple, residual B[524]:=[[1,2,3,4,5,6,7],[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],[1,2,6,9,11,12,14],[1,3,6,7,8,11,14],[1,3,7,8,9,10,12],[1,4,5,6,9,12,13],[1,4,6,7,10,13,14],[1,4,7,9,10,11,14],[1,5,7,8,10,12,13],[1,5,8,9,11,13,14],[2,3,6,9,10,13,14],[2,3,7,8,12,13,14],[2,4,5,7,8,11,14],[2,4,6,7,8,9,13],[2,4,8,9,10,12,14],[2,5,6,7,10,11,12],[2,5,7,9,10,11,13],[3,4,5,11,12,13,14],[3,4,6,8,10,11,13],[3,4,7,9,11,12,13],[3,5,6,7,9,12,14],[3,5,6,8,9,10,11],[4,5,6,8,10,12,14]]; G[524]:=Group([(1,4,12)(2,3,11)(5,13,6)(7,14,8)]); # Design 525: autom. group order 3, simple, residual B[525]:=[[1,2,3,4,5,6,7],[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],[1,3,7,8,9,11,12],[1,4,5,6,9,12,13],[1,4,6,7,11,12,14],[1,4,8,9,10,13,14],[1,5,7,8,10,12,13],[1,5,7,9,11,13,14],[2,3,6,9,12,13,14],[2,3,7,8,12,13,14],[2,4,5,7,8,11,14],[2,4,6,7,8,9,13],[2,4,7,9,10,12,14],[2,5,6,7,10,11,13],[2,5,8,9,10,11,12],[3,4,5,11,12,13,14],[3,4,6,8,10,11,13],[3,4,7,9,10,11,13],[3,5,6,7,9,10,12],[3,5,6,8,9,11,14],[4,5,6,8,10,12,14]]; G[525]:=Group([(1,11,14)(2,4,13)(5,10,12)(6,7,9)]); # Design 526: autom. group order 3, simple, residual B[526]:=[[1,2,3,4,5,6,7],[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],[1,3,6,7,8,11,14],[1,3,7,8,9,10,12],[1,4,5,6,9,12,13],[1,4,6,7,10,13,14],[1,4,8,9,11,12,14],[1,5,7,8,10,12,13],[1,5,7,9,11,13,14],[2,3,6,9,12,13,14],[2,3,7,8,12,13,14],[2,4,5,7,8,11,14],[2,4,6,7,8,9,13],[2,4,7,9,10,12,14],[2,5,6,7,10,11,12],[2,5,8,9,10,11,13],[3,4,5,11,12,13,14],[3,4,6,8,10,11,13],[3,4,7,9,10,11,13],[3,5,6,7,9,11,12],[3,5,6,8,9,10,14],[4,5,6,8,10,12,14]]; G[526]:=Group([(1,11,14)(2,4,13)(5,10,12)(6,8,7)]); # Design 527: autom. group order 3, simple B[527]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,11,12,14],[1,3,6,7,9,10,11],[1,3,7,8,11,13,14],[1,4,5,6,9,12,13],[1,4,6,10,12,13,14],[1,4,7,9,11,12,14],[1,5,7,8,9,10,14],[1,5,7,8,10,12,13],[2,3,6,7,8,12,13],[2,3,9,10,12,13,14],[2,4,5,7,11,13,14],[2,4,6,7,8,10,14],[2,4,7,9,10,11,13],[2,5,6,7,9,12,14],[2,5,8,9,10,11,12],[3,4,5,8,11,12,14],[3,4,6,8,9,10,14],[3,4,7,8,9,12,13],[3,5,6,7,10,11,12],[3,5,6,9,11,13,14],[4,5,6,8,10,11,13]]; G[527]:=Group([(1,10,13)(2,6,7)(3,4,8)(5,14,12)]); # Design 528: autom. group order 3, simple, residual B[528]:=[[1,2,3,4,5,6,7],[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],[1,2,6,9,11,12,14],[1,3,6,7,8,11,14],[1,3,8,9,10,12,14],[1,4,5,6,9,12,13],[1,4,6,7,10,13,14],[1,4,7,8,9,10,11],[1,5,7,8,10,12,13],[1,5,7,9,11,13,14],[2,3,6,7,9,10,13],[2,3,7,8,12,13,14],[2,4,5,7,8,11,14],[2,4,6,8,9,13,14],[2,4,7,9,10,12,14],[2,5,6,7,10,11,12],[2,5,8,9,10,11,13],[3,4,5,11,12,13,14],[3,4,6,8,10,11,13],[3,4,7,9,11,12,13],[3,5,6,7,8,9,12],[3,5,6,9,10,11,14],[4,5,6,8,10,12,14]]; G[528]:=Group([(1,4,12)(2,3,11)(5,13,6)(7,14,8)]); # Design 529: autom. group order 3, simple, residual B[529]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[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],[1,4,7,10,11,12,13],[1,5,7,8,9,10,14],[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],[2,4,7,9,10,12,14],[2,4,8,9,11,13,14],[2,5,6,7,8,10,11],[2,5,6,9,11,12,13],[3,4,5,7,9,11,13],[3,4,6,7,8,9,12],[3,4,6,8,10,11,14],[3,5,6,9,10,12,13],[3,5,7,8,11,12,14],[4,5,6,7,10,13,14]]; G[529]:=Group([(2,9,11)(3,8,12)(4,5,10)(6,14,13)]); # Design 530: autom. group order 3, simple B[530]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[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],[1,4,5,6,8,11,14],[1,4,6,9,10,12,14],[1,4,8,11,12,13,14],[1,5,7,8,9,12,13],[1,5,7,9,10,11,13],[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],[2,4,8,9,10,13,14],[2,5,6,8,9,10,12],[2,5,6,10,11,13,14],[3,4,5,9,11,12,13],[3,4,6,7,8,10,13],[3,4,6,7,9,13,14],[3,5,6,8,9,11,14],[3,5,7,8,10,12,14],[4,5,6,7,10,11,12]]; G[530]:=Group([(1,8,13)(3,9,14)(4,10,5)(6,7,11)]); # Design 531: autom. group order 3, simple B[531]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,14],[1,3,6,7,8,12,14],[1,3,7,9,11,12,13],[1,4,5,6,11,13,14],[1,4,6,8,9,10,12],[1,4,8,9,10,13,14],[1,5,7,8,9,10,11],[1,5,7,10,12,13,14],[2,3,6,7,9,10,13],[2,3,8,10,11,12,14],[2,4,5,7,8,12,14],[2,4,7,8,10,11,13],[2,4,7,9,12,13,14],[2,5,6,8,9,12,13],[2,5,6,9,10,11,14],[3,4,5,9,11,12,13],[3,4,6,7,9,10,14],[3,4,6,8,11,13,14],[3,5,6,8,10,12,13],[3,5,7,8,9,11,14],[4,5,6,7,10,11,12]]; G[531]:=Group([(2,9,13)(3,8,14)(4,10,5)(6,12,7)]); # Design 532: autom. group order 3, simple, residual B[532]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,7,12,13,14],[1,3,8,9,11,13,14],[1,4,5,6,9,12,14],[1,4,6,8,10,13,14],[1,4,7,8,9,10,11],[1,5,7,8,10,12,14],[1,5,7,9,11,12,13],[2,3,6,9,11,12,14],[2,3,7,8,10,12,13],[2,4,5,7,11,13,14],[2,4,7,9,10,12,14],[2,4,8,9,12,13,14],[2,5,6,7,8,9,13],[2,5,6,8,10,11,14],[3,4,5,8,11,12,13],[3,4,6,7,8,11,14],[3,4,6,7,9,10,13],[3,5,6,8,9,10,12],[3,5,7,9,10,11,14],[4,5,6,10,11,12,13]]; G[532]:=Group([(1,11,14)(2,5,12)(3,13,9)(6,10,7)]); # Design 533: autom. group order 3, simple, residual B[533]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,12,13,14],[1,3,6,9,10,11,13],[1,3,7,8,11,12,14],[1,4,5,6,9,11,14],[1,4,6,7,10,12,14],[1,4,7,8,9,10,13],[1,5,7,9,11,12,13],[1,5,8,9,10,12,14],[2,3,6,9,11,12,14],[2,3,7,9,10,12,13],[2,4,5,7,12,13,14],[2,4,7,9,10,11,14],[2,4,8,9,11,13,14],[2,5,6,7,8,10,11],[2,5,6,8,9,10,12],[3,4,5,8,11,12,13],[3,4,6,7,8,9,12],[3,4,6,8,10,13,14],[3,5,6,7,9,13,14],[3,5,7,8,10,11,14],[4,5,6,10,11,12,13]]; G[533]:=Group([(1,12,14)(2,5,11)(3,13,9)(6,10,7)]); # Design 534: autom. group order 3, simple, residual B[534]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,9,10,11,14],[1,3,7,8,12,13,14],[1,4,5,6,8,11,12],[1,4,6,7,9,12,14],[1,4,7,8,9,11,13],[1,5,7,9,10,11,14],[1,5,8,9,10,12,13],[2,3,6,8,9,11,13],[2,3,7,8,9,12,14],[2,4,5,9,12,13,14],[2,4,7,10,11,12,13],[2,4,8,9,10,11,14],[2,5,6,7,8,11,14],[2,5,6,7,9,10,12],[3,4,5,7,11,13,14],[3,4,6,7,9,10,13],[3,4,6,8,10,12,14],[3,5,6,9,11,12,13],[3,5,7,8,10,11,12],[4,5,6,8,10,13,14]]; G[534]:=Group([(1,6,12)(2,9,8)(4,11,14)(5,13,7)]); # Design 535: autom. group order 3, simple, residual B[535]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,7,8,12,13],[1,3,7,9,11,12,14],[1,4,5,6,11,13,14],[1,4,6,9,10,12,14],[1,4,8,9,12,13,14],[1,5,7,8,9,10,13],[1,5,7,8,10,11,14],[2,3,7,10,12,13,14],[2,3,8,9,11,13,14],[2,4,5,7,9,12,14],[2,4,6,7,8,13,14],[2,4,7,8,9,10,11],[2,5,6,8,10,12,14],[2,5,6,9,11,12,13],[3,4,5,8,11,12,13],[3,4,6,7,9,10,13],[3,4,6,8,10,11,14],[3,5,6,7,9,11,14],[3,5,6,8,9,10,12],[4,5,7,10,11,12,13]]; G[535]:=Group([(1,5,12)(2,11,14)(3,13,9)(6,7,10)]); # Design 536: autom. group order 3, simple, residual B[536]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,13],[1,3,6,8,10,13,14],[1,3,7,9,11,13,14],[1,4,5,6,7,12,14],[1,4,6,10,11,12,14],[1,4,7,9,10,11,13],[1,5,7,8,9,12,14],[1,5,8,9,10,11,12],[2,3,7,8,11,12,14],[2,3,7,9,10,12,14],[2,4,5,9,11,13,14],[2,4,6,8,9,10,14],[2,4,7,8,10,12,13],[2,5,6,7,9,10,11],[2,5,6,11,12,13,14],[3,4,5,8,11,12,13],[3,4,6,7,9,12,13],[3,4,6,8,9,11,14],[3,5,6,7,8,10,11],[3,5,6,9,10,12,13],[4,5,7,8,10,13,14]]; G[536]:=Group([(2,9,10)(3,8,11)(4,5,12)(6,7,14)]); # Design 537: autom. group order 3, simple, residual B[537]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[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],[1,3,8,9,12,13,14],[1,4,5,6,11,13,14],[1,4,6,7,9,10,12],[1,4,7,8,10,12,14],[1,5,7,8,9,11,14],[1,5,7,10,11,12,13],[2,3,7,8,9,10,11],[2,3,7,11,12,13,14],[2,4,5,9,11,12,14],[2,4,6,8,11,12,14],[2,4,7,9,10,13,14],[2,5,6,7,8,10,14],[2,5,6,9,10,12,13],[3,4,5,7,8,12,13],[3,4,6,7,9,11,13],[3,4,6,8,10,13,14],[3,5,6,7,9,12,14],[3,5,6,8,10,11,12],[4,5,8,9,10,11,13]]; G[537]:=Group([(1,2,12)(3,11,10)(5,14,7)(6,9,8)]); # Design 538: autom. group order 3, simple, residual B[538]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,7,9,10,11],[1,3,7,8,12,13,14],[1,4,5,9,11,12,14],[1,4,6,7,9,12,13],[1,4,6,8,10,11,14],[1,5,7,10,11,13,14],[1,5,8,9,10,12,13],[2,3,6,9,11,13,14],[2,3,7,9,10,12,14],[2,4,5,7,11,12,13],[2,4,6,10,12,13,14],[2,4,7,8,9,10,13],[2,5,6,8,10,11,12],[2,5,7,8,9,11,14],[3,4,5,6,8,13,14],[3,4,7,8,11,12,14],[3,4,8,9,10,11,13],[3,5,6,7,8,10,12],[3,5,6,9,11,12,13],[4,5,6,7,9,10,14]]; G[538]:=Group([(1,9,12)(2,11,7)(4,6,14)(5,13,8)]); # Design 539: autom. group order 3, simple, residual B[539]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[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],[1,3,9,10,11,12,13],[1,4,5,7,11,12,13],[1,4,6,7,9,10,14],[1,4,6,8,9,10,13],[1,5,7,8,10,12,14],[1,5,8,9,11,12,14],[2,3,6,9,12,13,14],[2,3,7,8,10,11,14],[2,4,5,9,11,13,14],[2,4,6,8,10,11,12],[2,4,7,9,10,12,14],[2,5,6,7,9,11,12],[2,5,7,8,9,10,13],[3,4,5,6,8,12,14],[3,4,7,8,9,12,13],[3,4,7,8,11,13,14],[3,5,6,7,10,12,13],[3,5,6,8,9,10,11],[4,5,6,10,11,13,14]]; G[539]:=Group([(1,4,14)(2,11,8)(3,13,12)(6,10,7)]); # Design 540: autom. group order 3, simple, residual B[540]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,8,9,12,14],[1,3,6,8,10,11,13],[1,3,7,9,10,12,14],[1,4,5,7,9,11,13],[1,4,6,7,11,12,14],[1,4,6,9,10,12,13],[1,5,7,8,12,13,14],[1,5,8,9,10,11,14],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[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],[3,4,5,6,8,12,14],[3,4,7,8,10,11,14],[3,4,8,9,11,12,13],[3,5,6,7,10,12,13],[3,5,6,9,11,13,14],[4,5,6,7,8,9,10]]; G[540]:=Group([(1,12,14)(3,11,13)(4,5,10)(6,8,9)]); # Design 541: autom. group order 3, simple, residual B[541]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,11,12,13],[1,3,7,9,10,11,14],[1,4,5,7,11,12,13],[1,4,6,7,8,9,13],[1,4,6,7,9,10,14],[1,5,7,8,10,12,14],[1,5,8,9,11,12,14],[2,3,6,7,8,11,14],[2,3,7,9,12,13,14],[2,4,5,9,11,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,11,12],[2,5,6,7,9,11,12],[2,5,7,8,9,10,13],[3,4,5,6,8,12,14],[3,4,7,8,11,13,14],[3,4,8,9,10,12,13],[3,5,6,7,10,12,13],[3,5,6,8,9,10,11],[4,5,6,10,11,13,14]]; G[541]:=Group([(1,4,14)(2,11,8)(3,13,12)(6,10,7)]); # Design 542: autom. group order 3, simple, residual B[542]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,13],[1,2,6,9,11,12,14],[1,3,6,7,11,13,14],[1,3,8,9,12,13,14],[1,4,5,8,11,12,13],[1,4,6,7,9,10,13],[1,4,6,8,10,12,14],[1,5,7,8,9,10,11],[1,5,7,9,10,12,14],[2,3,6,9,10,12,13],[2,3,7,8,10,11,12],[2,4,5,7,12,13,14],[2,4,7,9,10,11,14],[2,4,8,9,11,13,14],[2,5,6,7,8,12,14],[2,5,6,8,9,10,13],[3,4,5,6,9,11,14],[3,4,6,7,8,9,12],[3,4,7,8,10,13,14],[3,5,6,8,10,11,14],[3,5,7,9,11,12,13],[4,5,6,10,11,12,13]]; G[542]:=Group([(1,9,13)(2,11,5)(3,14,12)(6,7,10)]); # Design 543: autom. group order 3, simple, residual B[543]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,5,10,13,14],[1,2,6,7,8,11,12],[1,2,6,7,11,13,14],[1,3,6,8,9,12,13],[1,3,7,8,9,11,14],[1,4,5,9,11,12,13],[1,4,6,7,9,10,13],[1,4,8,10,11,12,14],[1,5,6,8,9,10,14],[1,5,7,10,12,13,14],[2,3,6,9,10,11,14],[2,3,7,8,10,12,13],[2,4,5,8,11,13,14],[2,4,6,9,10,12,14],[2,4,7,8,9,13,14],[2,5,6,9,11,12,13],[2,5,7,8,9,10,12],[3,4,5,6,7,12,14],[3,4,6,8,12,13,14],[3,4,7,9,10,11,13],[3,5,6,8,10,11,13],[3,5,7,9,11,12,14],[4,5,6,7,8,10,11]]; G[543]:=Group([(1,8,9)(2,13,11)(4,12,7)(5,6,14)]); # Design 544: autom. group order 3, simple B[544]:=[[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],[1,3,6,8,9,13,14],[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],[1,5,6,9,11,13,14],[1,6,7,9,10,11,12],[2,3,6,10,11,12,13],[2,3,8,9,10,11,14],[2,4,6,8,11,12,14],[2,4,7,8,9,11,13],[2,4,7,9,10,13,14],[2,5,6,7,8,12,14],[2,5,6,7,9,10,13],[3,4,5,9,11,12,13],[3,4,5,10,12,13,14],[3,4,6,7,9,12,14],[3,5,6,7,8,11,13],[3,5,7,8,10,11,14],[4,5,6,8,9,10,12]]; G[544]:=Group([(1,2,13)(3,7,14)(4,9,6)(5,10,8)]); # Design 545: autom. group order 3, simple B[545]:=[[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],[1,2,5,7,10,12,14],[1,2,5,9,11,13,14],[1,3,6,7,11,13,14],[1,3,7,8,11,12,13],[1,4,5,7,9,12,13],[1,4,6,9,12,13,14],[1,4,8,9,10,11,14],[1,5,6,8,10,12,14],[1,6,7,8,9,10,11],[2,3,6,8,9,12,14],[2,3,7,9,11,12,14],[2,4,6,7,8,13,14],[2,4,7,8,10,13,14],[2,4,7,9,10,11,12],[2,5,6,8,9,11,13],[2,5,6,10,11,12,13],[3,4,5,8,11,12,14],[3,4,5,10,11,13,14],[3,4,6,9,10,12,13],[3,5,6,7,9,10,14],[3,5,7,8,9,10,13],[4,5,6,7,8,11,12]]; G[545]:=Group([(1,5,9)(2,13,4)(3,11,12)(7,8,14)]); # Design 546: autom. group order 3, simple B[546]:=[[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],[1,2,5,7,8,12,13],[1,2,5,9,11,12,14],[1,3,6,7,11,13,14],[1,3,7,8,9,11,14],[1,4,5,10,11,13,14],[1,4,6,8,9,10,12],[1,4,7,9,10,12,13],[1,5,6,8,11,12,13],[1,6,7,8,9,10,14],[2,3,6,7,9,12,13],[2,3,8,9,10,11,13],[2,4,6,9,11,12,14],[2,4,7,8,10,11,13],[2,4,7,8,11,12,14],[2,5,6,7,8,10,14],[2,5,6,9,10,13,14],[3,4,5,7,10,12,14],[3,4,5,8,9,13,14],[3,4,6,8,12,13,14],[3,5,6,8,10,11,12],[3,5,7,9,10,11,12],[4,5,6,7,9,11,13]]; G[546]:=Group([(1,10,14)(2,3,12)(4,5,11)(6,7,9)]); # Design 547: autom. group order 3, simple B[547]:=[[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],[1,2,5,7,8,12,13],[1,2,5,9,11,12,14],[1,3,6,7,8,11,14],[1,3,7,9,11,13,14],[1,4,5,10,11,13,14],[1,4,6,9,10,12,13],[1,4,7,8,9,10,12],[1,5,6,8,11,12,13],[1,6,7,8,9,10,14],[2,3,6,7,9,12,13],[2,3,8,9,10,11,13],[2,4,6,9,11,12,14],[2,4,7,8,10,11,13],[2,4,7,8,11,12,14],[2,5,6,7,10,13,14],[2,5,6,8,9,10,14],[3,4,5,7,10,12,14],[3,4,5,8,9,13,14],[3,4,6,8,12,13,14],[3,5,6,8,10,11,12],[3,5,7,9,10,11,12],[4,5,6,7,9,11,13]]; G[547]:=Group([(1,10,14)(2,3,12)(4,5,11)(6,7,9)]); # Design 548: autom. group order 3, simple B[548]:=[[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],[1,2,5,7,8,12,13],[1,2,5,9,11,12,14],[1,3,6,7,8,11,14],[1,3,8,9,11,13,14],[1,4,5,10,11,13,14],[1,4,6,9,10,12,13],[1,4,7,8,9,10,12],[1,5,6,7,11,12,13],[1,6,7,8,9,10,14],[2,3,6,8,9,12,13],[2,3,7,9,10,11,13],[2,4,6,8,11,12,14],[2,4,7,8,10,11,13],[2,4,7,9,11,12,14],[2,5,6,7,9,10,14],[2,5,6,8,10,13,14],[3,4,5,7,9,13,14],[3,4,5,8,10,12,14],[3,4,6,7,12,13,14],[3,5,6,9,10,11,12],[3,5,7,8,10,11,12],[4,5,6,8,9,11,13]]; G[548]:=Group([(1,10,14)(2,3,12)(4,5,11)(6,8,9)]); # Design 549: autom. group order 3, simple B[549]:=[[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],[1,3,6,8,11,13,14],[1,3,7,8,9,11,13],[1,4,5,10,11,13,14],[1,4,6,7,9,10,12],[1,4,7,8,10,12,14],[1,5,6,9,11,12,14],[1,6,7,8,9,10,13],[2,3,6,7,8,12,14],[2,3,7,9,10,11,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,13],[2,4,8,9,10,11,14],[2,5,6,7,10,13,14],[2,5,6,8,9,10,13],[3,4,5,7,9,13,14],[3,4,5,8,10,12,13],[3,4,6,9,12,13,14],[3,5,6,8,10,11,12],[3,5,7,9,10,11,12],[4,5,6,7,8,11,14]]; G[549]:=Group([(1,10,13)(2,3,12)(4,5,11)(6,8,7)]); # Design 550: autom. group order 3, simple B[550]:=[[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],[1,2,5,7,11,12,14],[1,2,5,10,12,13,14],[1,3,6,9,11,12,13],[1,3,7,8,10,11,14],[1,4,5,9,10,13,14],[1,4,6,7,8,12,14],[1,4,7,9,11,12,13],[1,5,6,8,9,11,13],[1,6,7,8,9,10,14],[2,3,6,7,9,13,14],[2,3,8,9,11,12,14],[2,4,6,8,11,13,14],[2,4,7,8,9,10,13],[2,4,7,9,10,11,12],[2,5,6,7,8,12,13],[2,5,6,9,10,11,14],[3,4,5,7,11,13,14],[3,4,5,8,9,12,14],[3,4,6,10,12,13,14],[3,5,6,7,9,10,12],[3,5,7,8,10,11,13],[4,5,6,8,10,11,12]]; G[550]:=Group([(2,13,14)(3,9,7)(4,11,8)(5,12,10)]); # Design 551: autom. group order 3, simple B[551]:=[[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],[1,2,5,7,8,12,13],[1,2,5,9,11,12,14],[1,3,6,8,11,13,14],[1,3,7,8,9,11,14],[1,4,5,10,11,13,14],[1,4,6,7,9,10,12],[1,4,8,9,10,12,13],[1,5,6,7,11,12,13],[1,6,7,8,9,10,14],[2,3,6,8,9,12,13],[2,3,7,9,10,11,13],[2,4,6,8,11,12,14],[2,4,7,8,10,11,13],[2,4,7,9,11,12,14],[2,5,6,7,8,10,14],[2,5,6,9,10,13,14],[3,4,5,7,9,13,14],[3,4,5,8,10,12,14],[3,4,6,7,12,13,14],[3,5,6,9,10,11,12],[3,5,7,8,10,11,12],[4,5,6,8,9,11,13]]; G[551]:=Group([(1,10,14)(2,3,12)(4,5,11)(6,8,9)]); # Design 552: autom. group order 3, simple, residual B[552]:=[[1,2,3,4,5,6,7],[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],[1,2,5,9,12,13,14],[1,3,6,10,12,13,14],[1,3,8,9,11,12,14],[1,4,5,9,10,11,14],[1,4,6,7,9,12,13],[1,4,7,8,10,13,14],[1,5,7,8,10,11,13],[1,6,7,8,9,11,12],[2,3,7,9,10,11,13],[2,3,7,9,11,13,14],[2,4,6,8,9,13,14],[2,4,6,10,11,12,14],[2,4,7,8,9,10,12],[2,5,6,8,11,12,13],[2,5,7,8,10,12,14],[3,4,5,7,12,13,14],[3,4,5,8,11,12,13],[3,4,6,7,8,11,14],[3,5,6,7,9,10,12],[3,5,6,8,9,10,14],[4,5,6,9,10,11,13]]; G[552]:=Group([(1,5,12)(2,13,9)(3,11,7)(4,8,6)]); # Design 553: autom. group order 3, simple, residual B[553]:=[[1,2,3,4,5,6,7],[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],[1,3,6,11,12,13,14],[1,3,8,9,10,11,13],[1,4,5,9,10,12,13],[1,4,6,7,9,11,14],[1,4,7,8,12,13,14],[1,5,7,8,10,12,14],[1,6,7,8,9,10,11],[2,3,7,9,10,12,14],[2,3,7,9,10,13,14],[2,4,6,8,9,12,14],[2,4,6,10,11,12,13],[2,4,7,8,9,11,13],[2,5,6,8,10,11,14],[2,5,7,8,11,12,13],[3,4,5,7,11,13,14],[3,4,5,8,10,11,14],[3,4,6,7,8,10,12],[3,5,6,7,9,11,12],[3,5,6,8,9,12,13],[4,5,6,9,10,13,14]]; G[553]:=Group([(1,5,11)(2,14,9)(3,10,7)(4,8,6)]); # Design 554: autom. group order 3, simple B[554]:=[[1,2,3,4,5,6,7],[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],[1,2,5,7,9,12,14],[1,3,6,7,12,13,14],[1,3,8,9,10,11,14],[1,4,5,10,11,12,13],[1,4,6,8,9,13,14],[1,4,7,8,11,12,14],[1,5,7,9,10,11,13],[1,6,7,8,9,10,12],[2,3,7,9,10,12,13],[2,3,8,11,12,13,14],[2,4,6,7,10,11,14],[2,4,6,9,10,12,14],[2,4,7,8,9,11,13],[2,5,6,8,9,11,12],[2,5,7,8,10,13,14],[3,4,5,7,8,10,14],[3,4,5,9,12,13,14],[3,4,6,7,9,11,13],[3,5,6,7,8,11,12],[3,5,6,9,10,11,14],[4,5,6,8,10,12,13]]; G[554]:=Group([(1,12,13)(2,8,9)(3,6,7)(4,5,11)]); # Design 555: autom. group order 3, simple B[555]:=[[1,2,3,4,5,6,7],[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],[1,2,5,7,9,11,12],[1,3,6,7,11,12,13],[1,3,8,9,10,11,14],[1,4,5,10,12,13,14],[1,4,6,8,9,11,13],[1,4,7,8,10,12,14],[1,5,7,9,10,11,13],[1,6,7,8,9,12,14],[2,3,7,9,12,13,14],[2,3,8,10,11,12,13],[2,4,6,7,10,11,14],[2,4,6,9,11,12,14],[2,4,7,8,9,10,13],[2,5,6,8,9,10,12],[2,5,7,8,11,13,14],[3,4,5,7,8,11,14],[3,4,5,9,12,13,14],[3,4,6,7,9,10,13],[3,5,6,7,8,10,12],[3,5,6,9,10,11,14],[4,5,6,8,11,12,13]]; G[555]:=Group([(1,12,13)(2,8,9)(3,6,7)(4,5,10)]); # Design 556: autom. group order 3, simple B[556]:=[[1,2,3,4,5,6,7],[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],[1,2,5,7,12,13,14],[1,3,6,9,12,13,14],[1,3,7,8,9,10,14],[1,4,5,8,9,11,13],[1,4,6,7,9,10,14],[1,4,9,11,12,13,14],[1,5,7,8,10,11,13],[1,6,7,8,10,11,12],[2,3,7,8,9,11,14],[2,3,8,9,10,12,13],[2,4,6,7,9,11,13],[2,4,6,8,10,13,14],[2,4,7,8,11,12,14],[2,5,6,9,10,11,14],[2,5,7,9,10,12,13],[3,4,5,7,10,13,14],[3,4,5,10,11,12,14],[3,4,6,7,8,12,13],[3,5,6,7,9,11,12],[3,5,6,8,11,13,14],[4,5,6,8,9,10,12]]; G[556]:=Group([(2,10,14)(3,7,12)(4,8,13)(5,11,9)]); # Design 557: autom. group order 3, simple, residual B[557]:=[[1,2,3,4,5,6,7],[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],[1,2,5,7,9,12,14],[1,3,6,9,12,13,14],[1,3,7,8,10,11,14],[1,4,5,9,10,11,14],[1,4,6,8,12,13,14],[1,4,7,9,11,12,13],[1,5,7,8,10,12,13],[1,6,7,8,9,10,11],[2,3,7,9,10,12,13],[2,3,8,9,11,12,14],[2,4,6,7,10,12,14],[2,4,6,9,10,11,13],[2,4,7,8,11,13,14],[2,5,6,7,8,11,12],[2,5,8,9,10,13,14],[3,4,5,7,10,13,14],[3,4,5,8,11,12,13],[3,4,6,7,8,9,14],[3,5,6,7,9,11,13],[3,5,6,10,11,12,14],[4,5,6,8,9,10,12]]; G[557]:=Group([(2,10,13)(3,8,6)(4,7,14)(5,11,12)]); # Design 558: autom. group order 3, simple, residual B[558]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,9,10,14],[1,3,6,7,8,9,12],[1,3,8,9,11,13,14],[1,4,5,7,12,13,14],[1,4,6,8,11,13,14],[1,4,7,8,10,12,13],[1,5,7,9,10,11,14],[1,6,7,9,10,11,12],[2,3,7,8,11,12,14],[2,3,7,9,12,13,14],[2,4,6,7,8,11,14],[2,4,6,7,9,10,14],[2,4,8,9,10,12,13],[2,5,6,9,11,12,13],[2,5,7,8,10,11,13],[3,4,5,7,9,11,13],[3,4,5,10,11,12,14],[3,4,6,9,10,13,14],[3,5,6,7,8,10,13],[3,5,6,8,10,12,14],[4,5,6,8,9,11,12]]; G[558]:=Group([(1,10,12)(2,8,6)(3,13,9)(4,7,11)]); # Design 559: autom. group order 3, simple, residual B[559]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,9,12,14],[1,3,6,8,12,13,14],[1,3,7,9,10,11,12],[1,4,5,9,10,12,13],[1,4,7,8,12,13,14],[1,4,7,9,11,13,14],[1,5,6,8,10,11,14],[1,6,7,8,9,10,11],[2,3,7,8,9,10,14],[2,3,7,8,11,12,13],[2,4,6,7,10,12,14],[2,4,6,8,9,11,13],[2,4,6,9,11,12,14],[2,5,7,9,10,13,14],[2,5,8,10,11,12,13],[3,4,5,7,8,11,14],[3,4,5,10,11,13,14],[3,4,6,8,9,10,13],[3,5,6,7,9,12,13],[3,5,6,9,11,12,14],[4,5,6,7,8,10,12]]; G[559]:=Group([(2,11,14)(3,7,8)(4,9,12)(5,10,13)]); # Design 560: autom. group order 3, simple B[560]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,12,13,14],[1,3,7,8,9,10,12],[1,3,8,11,12,13,14],[1,4,5,9,10,13,14],[1,4,6,7,9,11,13],[1,4,6,8,10,13,14],[1,5,7,8,9,10,11],[1,6,7,9,11,12,14],[2,3,6,8,9,11,14],[2,3,7,9,10,13,14],[2,4,6,9,10,12,14],[2,4,7,8,9,12,13],[2,4,7,8,10,11,14],[2,5,6,8,9,11,13],[2,5,7,10,11,12,13],[3,4,5,7,11,13,14],[3,4,5,9,11,12,14],[3,4,6,7,8,12,13],[3,5,6,7,8,10,14],[3,5,6,9,10,12,13],[4,5,6,8,10,11,12]]; G[560]:=Group([(2,7,14)(3,9,13)(4,11,8)(5,6,12)]); # Design 561: autom. group order 3, simple, residual B[561]:=[[1,2,3,4,5,6,7],[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],[1,2,5,7,10,13,14],[1,3,7,8,9,11,13],[1,3,7,8,11,12,14],[1,4,5,8,9,12,14],[1,4,6,7,9,13,14],[1,4,9,10,11,12,13],[1,5,6,9,10,11,13],[1,6,7,8,10,12,14],[2,3,6,9,12,13,14],[2,3,7,9,10,11,14],[2,4,6,7,9,11,12],[2,4,6,8,11,13,14],[2,4,7,8,10,12,13],[2,5,7,8,9,12,13],[2,5,8,9,10,11,14],[3,4,5,7,11,13,14],[3,4,5,10,12,13,14],[3,4,6,8,9,10,14],[3,5,6,7,9,10,12],[3,5,6,8,11,12,13],[4,5,6,7,8,10,11]]; G[561]:=Group([(2,13,14)(3,9,12)(4,11,8)(5,10,7)]); # Design 562: autom. group order 3, simple, residual B[562]:=[[1,2,3,4,5,6,7],[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],[1,2,5,7,9,12,14],[1,3,7,8,9,10,11],[1,3,8,9,12,13,14],[1,4,5,7,10,12,13],[1,4,6,9,12,13,14],[1,4,7,8,11,13,14],[1,5,6,9,10,11,14],[1,6,7,8,10,11,12],[2,3,6,8,10,12,14],[2,3,7,9,11,12,13],[2,4,6,7,11,12,14],[2,4,6,8,9,11,13],[2,4,7,8,9,10,14],[2,5,7,8,10,13,14],[2,5,9,10,11,12,13],[3,4,5,8,11,12,14],[3,4,5,10,11,13,14],[3,4,6,7,9,10,13],[3,5,6,7,8,12,13],[3,5,6,7,9,11,14],[4,5,6,8,9,10,12]]; G[562]:=Group([(2,11,14)(3,8,9)(4,7,12)(5,10,13)]); # Design 563: autom. group order 3, simple B[563]:=[[1,2,3,4,5,6,7],[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],[1,2,5,9,12,13,14],[1,3,7,8,10,12,14],[1,3,7,9,11,13,14],[1,4,5,7,10,12,14],[1,4,6,8,9,10,14],[1,4,7,8,9,11,13],[1,5,6,7,9,11,12],[1,6,8,10,11,12,13],[2,3,6,7,11,12,14],[2,3,7,8,9,10,11],[2,4,6,7,8,12,13],[2,4,6,9,10,11,14],[2,4,7,9,10,12,13],[2,5,7,8,10,13,14],[2,5,8,9,11,12,14],[3,4,5,8,11,12,13],[3,4,5,10,11,13,14],[3,4,6,9,12,13,14],[3,5,6,7,9,10,13],[3,5,6,8,9,10,12],[4,5,6,7,8,11,14]]; G[563]:=Group([(1,4,9)(2,14,7)(3,6,11)(5,10,13)]); # Design 564: autom. group order 3, simple B[564]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,4,6,9,11,13,14],[1,4,7,9,10,12,13],[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],[2,4,6,7,8,9,14],[2,4,6,7,11,12,14],[2,4,8,9,10,11,12],[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[564]:=Group([(1,7,11)(3,6,12)(5,14,10)]); # Design 565: autom. group order 3, simple, residual B[565]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,7,8,9,11],[1,3,6,7,12,13,14],[1,4,5,7,11,12,14],[1,4,6,8,9,13,14],[1,4,7,8,10,11,13],[1,5,7,9,10,12,14],[1,6,8,9,10,11,12],[2,3,7,8,11,12,14],[2,3,7,9,10,11,13],[2,4,6,7,9,10,14],[2,4,6,9,11,12,14],[2,4,7,8,9,12,13],[2,5,6,7,8,12,13],[2,5,6,8,10,11,14],[3,4,5,6,8,10,12],[3,4,5,9,11,13,14],[3,4,8,10,12,13,14],[3,5,6,9,11,12,13],[3,5,7,8,9,10,14],[4,5,6,7,10,11,13]]; G[565]:=Group([(1,9,14)(2,3,11)(4,13,8)(7,12,10)]); # Design 566: autom. group order 3, simple, residual B[566]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,7,9,11,12],[1,3,7,10,11,13,14],[1,4,5,6,12,13,14],[1,4,6,7,8,11,14],[1,4,8,9,10,12,14],[1,5,8,9,10,11,13],[1,6,7,8,9,12,13],[2,3,6,8,12,13,14],[2,3,7,8,9,11,14],[2,4,6,9,10,11,13],[2,4,6,9,11,13,14],[2,4,7,8,10,12,14],[2,5,6,7,9,10,12],[2,5,7,8,11,12,13],[3,4,5,7,9,13,14],[3,4,5,8,11,12,13],[3,4,7,9,10,12,13],[3,5,6,8,9,10,14],[3,5,6,10,11,12,14],[4,5,6,7,8,10,11]]; G[566]:=Group([(1,5,12)(2,11,9)(3,8,7)(4,13,6)]); # Design 567: autom. group order 3, simple, residual B[567]:=[[1,2,3,4,5,6,7],[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],[1,3,6,7,9,11,12],[1,3,7,10,11,13,14],[1,4,5,6,12,13,14],[1,4,6,7,8,10,11],[1,4,8,9,10,12,13],[1,5,8,9,10,11,14],[1,6,7,8,9,12,14],[2,3,6,8,10,12,14],[2,3,7,8,9,11,13],[2,4,6,9,10,11,14],[2,4,6,9,11,13,14],[2,4,7,8,10,12,13],[2,5,6,7,9,10,12],[2,5,7,8,11,12,14],[3,4,5,7,9,10,14],[3,4,5,8,11,12,14],[3,4,7,9,12,13,14],[3,5,6,8,9,10,13],[3,5,6,10,11,12,13],[4,5,6,7,8,11,13]]; G[567]:=Group([(1,5,12)(2,11,9)(3,8,7)(4,14,6)]); # Design 568: autom. group order 3, simple, residual B[568]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,9,11,13],[1,2,5,11,12,13,14],[1,3,6,7,8,12,14],[1,3,7,9,10,13,14],[1,4,5,6,12,13,14],[1,4,6,9,10,11,12],[1,4,7,8,9,12,14],[1,5,7,8,10,11,14],[1,6,8,9,10,11,13],[2,3,6,7,9,11,14],[2,3,8,11,12,13,14],[2,4,6,7,10,13,14],[2,4,6,8,9,11,14],[2,4,7,8,10,12,13],[2,5,6,9,10,12,14],[2,5,7,8,9,10,12],[3,4,5,8,10,11,14],[3,4,5,9,10,13,14],[3,4,7,9,11,12,13],[3,5,6,7,10,11,12],[3,5,6,8,9,12,13],[4,5,6,7,8,11,13]]; G[568]:=Group([(1,2,14)(3,6,7)(4,9,8)(5,11,12)]); # Design 569: autom. group order 3, simple, residual B[569]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,9,10,11,12,14],[1,4,5,6,9,11,14],[1,4,6,8,11,13,14],[1,4,7,9,10,12,13],[1,5,7,8,9,11,12],[1,6,7,8,9,10,13],[2,3,6,7,9,12,14],[2,3,8,9,11,13,14],[2,4,6,7,9,10,11],[2,4,6,9,12,13,14],[2,4,7,8,11,12,13],[2,5,6,8,10,11,12],[2,5,7,8,9,10,14],[3,4,5,7,10,13,14],[3,4,5,8,9,12,13],[3,4,7,8,10,11,14],[3,5,6,7,11,12,13],[3,5,6,9,10,11,13],[4,5,6,8,10,12,14]]; G[569]:=Group([(1,3,6)(2,7,8)(4,12,13)(5,14,10)]); # Design 570: autom. group order 3, simple, residual B[570]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,9,11,13,14],[1,3,7,8,9,12,14],[1,4,5,6,8,11,14],[1,4,6,7,9,12,13],[1,4,9,10,11,13,14],[1,5,7,8,10,12,13],[1,6,7,8,10,11,12],[2,3,6,7,10,13,14],[2,3,8,9,11,12,13],[2,4,6,7,9,11,12],[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],[3,4,5,7,12,13,14],[3,4,5,10,11,12,13],[3,4,7,8,9,10,14],[3,5,6,7,9,10,11],[3,5,6,8,11,12,14],[4,5,6,8,9,10,13]]; G[570]:=Group([(2,12,14)(3,7,11)(4,8,13)(5,10,9)]); # Design 571: autom. group order 3, simple, residual B[571]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,9,11,13,14],[1,3,7,8,9,12,14],[1,4,5,6,8,11,14],[1,4,6,7,9,12,13],[1,4,9,10,11,13,14],[1,5,7,8,10,12,13],[1,6,7,8,10,11,12],[2,3,6,7,11,12,14],[2,3,8,9,11,12,13],[2,4,6,7,9,10,13],[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],[3,4,5,7,12,13,14],[3,4,5,10,11,12,13],[3,4,7,8,9,10,14],[3,5,6,7,9,10,11],[3,5,6,8,10,13,14],[4,5,6,8,9,11,12]]; G[571]:=Group([(2,12,14)(3,7,11)(4,8,13)(5,10,9)]); # Design 572: autom. group order 3, simple, residual B[572]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,8,11,12,14],[1,3,7,8,9,12,13],[1,4,5,6,7,11,13],[1,4,6,8,10,12,14],[1,4,7,9,10,11,14],[1,5,7,8,9,10,14],[1,6,7,9,11,12,13],[2,3,6,7,9,10,11],[2,3,7,8,11,13,14],[2,4,6,7,8,9,14],[2,4,6,9,12,13,14],[2,4,7,8,10,12,13],[2,5,6,8,9,11,12],[2,5,7,10,11,12,14],[3,4,5,7,12,13,14],[3,4,5,9,11,12,14],[3,4,8,9,10,11,13],[3,5,6,7,8,10,12],[3,5,6,9,10,13,14],[4,5,6,8,10,11,13]]; G[572]:=Group([(1,4,13)(2,10,12)(3,8,9)(5,11,7)]); # Design 573: autom. group order 3, simple, residual B[573]:=[[1,2,3,4,5,6,7],[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],[1,2,5,9,12,13,14],[1,3,6,8,11,12,14],[1,3,7,9,11,12,14],[1,4,5,6,11,13,14],[1,4,6,7,8,9,12],[1,4,7,9,10,13,14],[1,5,7,8,10,12,13],[1,6,8,9,10,11,13],[2,3,6,10,12,13,14],[2,3,7,8,9,13,14],[2,4,6,9,11,12,13],[2,4,7,8,10,11,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,14],[2,5,6,8,9,10,12],[3,4,5,8,12,13,14],[3,4,5,9,10,11,13],[3,4,6,8,9,10,14],[3,5,6,7,8,11,13],[3,5,7,9,10,11,12],[4,5,6,7,10,12,14]]; G[573]:=Group([(1,4,12)(2,11,3)(5,13,14)(6,8,9)]); # Design 574: autom. group order 3, simple, residual B[574]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,9,11,13],[1,2,5,10,12,13,14],[1,3,6,8,11,12,14],[1,3,7,9,11,12,14],[1,4,5,6,8,12,14],[1,4,6,7,9,13,14],[1,4,8,9,10,13,14],[1,5,7,9,10,11,12],[1,6,7,8,10,11,13],[2,3,6,9,12,13,14],[2,3,7,8,9,10,14],[2,4,6,9,11,12,13],[2,4,7,8,10,12,14],[2,4,7,8,11,12,13],[2,5,6,7,8,11,14],[2,5,6,9,10,11,14],[3,4,5,7,11,13,14],[3,4,5,10,11,13,14],[3,4,6,8,9,10,11],[3,5,6,8,10,12,13],[3,5,7,8,9,12,13],[4,5,6,7,9,10,12]]; G[574]:=Group([(1,2,12)(3,4,11)(5,13,14)(6,8,9)]); # Design 575: autom. group order 3, simple, residual B[575]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,9,11,13],[1,2,5,10,12,13,14],[1,3,6,8,11,12,14],[1,3,7,9,11,12,14],[1,4,5,6,8,12,14],[1,4,6,9,10,13,14],[1,4,7,8,9,13,14],[1,5,7,9,10,11,12],[1,6,7,8,10,11,13],[2,3,6,9,12,13,14],[2,3,7,8,9,10,14],[2,4,6,9,11,12,13],[2,4,7,8,10,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,14],[2,5,6,8,10,11,14],[3,4,5,7,11,13,14],[3,4,5,10,11,13,14],[3,4,6,8,9,10,11],[3,5,6,7,8,12,13],[3,5,8,9,10,12,13],[4,5,6,7,9,10,12]]; G[575]:=Group([(1,2,12)(3,4,11)(5,13,14)(6,8,9)]); # Design 576: autom. group order 3, simple, residual B[576]:=[[1,2,3,4,5,6,7],[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],[1,2,5,7,11,12,14],[1,3,6,9,10,11,13],[1,3,7,8,10,11,14],[1,4,5,6,11,12,13],[1,4,6,8,10,12,14],[1,4,7,9,12,13,14],[1,5,8,9,10,12,14],[1,6,7,8,9,11,13],[2,3,6,9,11,12,14],[2,3,7,8,10,12,13],[2,4,6,7,8,9,14],[2,4,7,10,11,13,14],[2,4,8,9,11,12,13],[2,5,6,8,10,12,13],[2,5,6,9,10,11,14],[3,4,5,8,11,13,14],[3,4,5,9,10,13,14],[3,4,6,7,9,10,12],[3,5,6,7,12,13,14],[3,5,7,8,9,11,12],[4,5,6,7,8,10,11]]; G[576]:=Group([(1,2,13)(3,8,6)(4,12,11)(5,10,9)]); # Design 577: autom. group order 3, simple, residual B[577]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,9,11,13],[1,2,5,10,12,13,14],[1,3,6,9,11,12,14],[1,3,7,8,11,12,14],[1,4,5,6,7,12,14],[1,4,6,9,10,13,14],[1,4,7,8,9,13,14],[1,5,8,9,10,11,12],[1,6,7,8,10,11,13],[2,3,6,9,12,13,14],[2,3,7,8,9,10,14],[2,4,6,8,11,12,13],[2,4,7,8,10,12,14],[2,4,7,9,11,12,13],[2,5,6,7,10,11,14],[2,5,6,8,9,11,14],[3,4,5,8,11,13,14],[3,4,5,10,11,13,14],[3,4,6,7,9,10,11],[3,5,6,7,8,12,13],[3,5,7,9,10,12,13],[4,5,6,8,9,10,12]]; G[577]:=Group([(1,2,12)(3,4,11)(5,13,14)(6,7,9)]); # Design 578: autom. group order 3, simple, residual B[578]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,9,11,13],[1,2,5,10,12,13,14],[1,3,6,9,11,12,14],[1,3,7,8,11,12,14],[1,4,5,6,7,12,14],[1,4,6,8,9,13,14],[1,4,7,9,10,13,14],[1,5,8,9,10,11,12],[1,6,7,8,10,11,13],[2,3,6,9,12,13,14],[2,3,7,8,9,10,14],[2,4,6,8,11,12,13],[2,4,7,8,10,12,14],[2,4,7,9,11,12,13],[2,5,6,7,8,11,14],[2,5,6,9,10,11,14],[3,4,5,8,11,13,14],[3,4,5,10,11,13,14],[3,4,6,7,9,10,11],[3,5,6,7,10,12,13],[3,5,7,8,9,12,13],[4,5,6,8,9,10,12]]; G[578]:=Group([(1,2,12)(3,4,11)(5,13,14)(6,7,9)]); # Design 579: autom. group order 3, simple, residual B[579]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,9,11,13],[1,2,5,10,12,13,14],[1,3,6,8,11,12,14],[1,3,7,9,11,12,14],[1,4,5,6,9,12,14],[1,4,6,7,10,13,14],[1,4,7,8,9,13,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,13],[2,3,6,7,12,13,14],[2,3,7,8,9,10,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,13],[2,4,8,9,10,12,14],[2,5,6,7,8,11,14],[2,5,6,9,10,11,14],[3,4,5,8,11,13,14],[3,4,5,10,11,13,14],[3,4,6,7,9,10,11],[3,5,6,8,9,12,13],[3,5,7,9,10,12,13],[4,5,6,7,8,10,12]]; G[579]:=Group([(1,2,12)(3,4,11)(5,13,14)(6,9,7)]); # Design 580: autom. group order 3, simple, residual B[580]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,9,11,13],[1,2,5,10,12,13,14],[1,3,6,8,11,12,14],[1,3,7,9,11,12,14],[1,4,5,6,9,12,14],[1,4,6,7,8,13,14],[1,4,7,9,10,13,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,13],[2,3,6,7,12,13,14],[2,3,7,8,9,10,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,13],[2,4,8,9,10,12,14],[2,5,6,7,10,11,14],[2,5,6,8,9,11,14],[3,4,5,8,11,13,14],[3,4,5,10,11,13,14],[3,4,6,7,9,10,11],[3,5,6,9,10,12,13],[3,5,7,8,9,12,13],[4,5,6,7,8,10,12]]; G[580]:=Group([(1,2,12)(3,4,11)(5,13,14)(6,9,7)]); # Design 581: autom. group order 3, simple, residual B[581]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,12,14],[1,3,7,8,9,12,14],[1,4,5,6,11,12,14],[1,4,6,7,8,10,13],[1,4,7,11,12,13,14],[1,5,8,9,11,12,13],[1,6,7,8,9,10,11],[2,3,6,8,11,12,13],[2,3,7,9,11,13,14],[2,4,6,7,9,11,14],[2,4,7,8,9,10,12],[2,4,8,10,12,13,14],[2,5,6,7,8,11,12],[2,5,6,9,10,12,14],[3,4,5,7,9,12,13],[3,4,5,8,10,11,14],[3,4,6,9,10,11,13],[3,5,6,7,10,12,13],[3,5,7,8,10,11,14],[4,5,6,8,9,13,14]]; G[581]:=Group([(1,2,12)(3,10,11)(5,8,14)(6,9,13)]); # Design 582: autom. group order 3, simple, residual B[582]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,8,11,12,14],[1,3,7,9,11,12,14],[1,4,5,6,12,13,14],[1,4,6,7,8,9,11],[1,4,7,8,10,13,14],[1,5,8,9,10,11,13],[1,6,7,9,10,12,13],[2,3,6,10,11,13,14],[2,3,7,8,9,13,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,13],[2,4,8,9,10,12,14],[2,5,6,7,8,12,14],[2,5,6,7,9,10,11],[3,4,5,7,10,12,13],[3,4,5,9,11,13,14],[3,4,6,7,9,10,14],[3,5,6,8,9,12,13],[3,5,7,8,10,11,12],[4,5,6,8,10,11,14]]; G[582]:=Group([(1,4,11)(2,12,3)(5,13,14)(6,9,7)]); # Design 583: autom. group order 3, simple, residual B[583]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,9,11,12,14],[1,3,7,8,11,12,14],[1,4,5,6,11,13,14],[1,4,6,7,8,9,12],[1,4,8,9,10,13,14],[1,5,7,8,10,12,13],[1,6,7,9,10,11,13],[2,3,6,10,12,13,14],[2,3,7,8,9,13,14],[2,4,6,8,11,12,13],[2,4,7,8,10,11,14],[2,4,7,9,11,12,13],[2,5,6,7,9,10,12],[2,5,6,8,9,11,14],[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],[4,5,6,8,10,12,14]]; G[583]:=Group([(1,4,12)(2,11,3)(5,13,14)(6,7,9)]); # Design 584: autom. group order 3, simple, residual B[584]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,9,11,14],[1,2,5,9,12,13,14],[1,3,6,9,10,13,14],[1,3,7,10,11,12,14],[1,4,5,6,11,12,13],[1,4,6,8,11,12,14],[1,4,7,8,9,10,14],[1,5,7,8,10,12,13],[1,6,7,8,9,11,13],[2,3,6,7,8,11,14],[2,3,7,9,11,12,13],[2,4,6,9,10,12,14],[2,4,7,8,12,13,14],[2,4,8,9,10,11,13],[2,5,6,7,8,10,12],[2,5,6,10,11,13,14],[3,4,5,7,10,13,14],[3,4,5,8,11,13,14],[3,4,6,7,9,12,13],[3,5,6,8,9,12,14],[3,5,8,9,10,11,12],[4,5,6,7,9,10,11]]; G[584]:=Group([(1,5,12)(2,8,11)(4,9,10)(6,14,7)]); # Design 585: autom. group order 3, simple, residual B[585]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,9,10,13,14],[1,3,6,8,9,12,14],[1,3,8,9,11,12,13],[1,4,5,6,11,12,14],[1,4,6,7,8,10,13],[1,4,7,11,12,13,14],[1,5,7,9,10,12,14],[1,6,7,8,9,10,11],[2,3,6,7,8,12,14],[2,3,7,9,11,13,14],[2,4,6,7,9,11,14],[2,4,7,8,9,10,12],[2,4,8,10,12,13,14],[2,5,6,8,11,12,13],[2,5,6,9,10,11,12],[3,4,5,7,9,12,13],[3,4,5,8,10,11,14],[3,4,6,9,10,11,13],[3,5,6,7,10,12,13],[3,5,7,8,10,11,14],[4,5,6,8,9,13,14]]; G[585]:=Group([(1,2,12)(3,10,11)(5,8,14)(6,9,13)]); # Design 586: autom. group order 3, simple B[586]:=[[1,2,3,4,5,6,7],[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],[1,2,5,9,10,12,13],[1,3,6,9,10,11,14],[1,3,7,8,10,13,14],[1,4,5,6,11,12,14],[1,4,6,8,9,12,13],[1,4,7,11,12,13,14],[1,5,7,8,9,11,14],[1,6,7,8,9,10,12],[2,3,7,8,9,11,12],[2,3,9,11,12,13,14],[2,4,6,7,8,11,13],[2,4,6,9,10,13,14],[2,4,7,8,10,12,14],[2,5,6,7,9,12,14],[2,5,6,8,10,11,14],[3,4,5,7,9,13,14],[3,4,5,8,10,12,14],[3,4,6,7,9,10,11],[3,5,6,7,10,12,13],[3,5,6,8,11,12,13],[4,5,8,9,10,11,13]]; G[586]:=Group([(1,3,12)(2,11,4)(5,9,14)(6,8,13)]); # Design 587: autom. group order 3, simple, residual B[587]:=[[1,2,3,4,5,6,7],[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],[1,3,6,7,9,10,12],[1,3,7,8,12,13,14],[1,4,5,6,11,12,14],[1,4,7,8,9,10,14],[1,4,7,9,11,12,13],[1,5,6,8,11,12,14],[1,6,8,9,10,11,13],[2,3,6,7,9,11,14],[2,3,9,11,12,13,14],[2,4,6,7,8,11,13],[2,4,6,8,10,12,13],[2,4,6,9,10,12,14],[2,5,7,8,9,11,12],[2,5,7,8,10,12,14],[3,4,5,8,9,12,13],[3,4,5,10,11,13,14],[3,4,7,8,10,11,14],[3,5,6,7,10,12,13],[3,5,6,8,9,10,11],[4,5,6,7,9,13,14]]; G[587]:=Group([(1,11,12)(2,3,10)(5,14,6)(7,13,9)]); # Design 588: autom. group order 3, simple, residual B[588]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,13],[1,3,7,9,12,13,14],[1,4,5,6,11,12,14],[1,4,7,8,9,10,14],[1,4,7,8,11,12,13],[1,5,6,9,11,12,14],[1,6,7,8,9,10,11],[2,3,6,7,9,11,14],[2,3,7,8,11,12,14],[2,4,6,7,9,10,12],[2,4,6,8,9,11,13],[2,4,6,10,12,13,14],[2,5,7,8,10,12,14],[2,5,8,9,11,12,13],[3,4,5,7,9,12,13],[3,4,5,8,10,11,14],[3,4,9,10,11,13,14],[3,5,6,7,10,11,13],[3,5,6,8,9,10,12],[4,5,6,7,8,13,14]]; G[588]:=Group([(1,11,12)(2,3,10)(5,14,6)(7,8,13)]); # Design 589: autom. group order 3, simple, residual B[589]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,8,9,10,11],[1,3,7,11,12,13,14],[1,4,5,6,10,12,14],[1,4,7,8,10,11,13],[1,4,8,9,12,13,14],[1,5,6,7,9,11,14],[1,6,7,8,9,10,12],[2,3,6,8,10,12,14],[2,3,7,9,10,12,13],[2,4,6,7,8,9,13],[2,4,6,9,11,12,14],[2,4,7,9,10,11,14],[2,5,6,8,11,12,13],[2,5,7,8,10,11,14],[3,4,5,7,8,11,12],[3,4,5,9,10,13,14],[3,4,6,8,11,13,14],[3,5,6,9,10,11,13],[3,5,7,8,9,12,14],[4,5,6,7,10,12,13]]; G[589]:=Group([(1,9,14)(2,3,10)(4,13,8)(6,11,7)]); # Design 590: autom. group order 3, simple, residual B[590]:=[[1,2,3,4,5,6,7],[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],[1,2,5,7,11,12,14],[1,3,6,9,11,12,13],[1,3,7,8,10,11,14],[1,4,5,6,10,12,13],[1,4,7,9,11,13,14],[1,4,8,9,10,12,14],[1,5,6,8,10,11,14],[1,6,7,8,9,12,13],[2,3,6,9,10,12,14],[2,3,7,8,11,12,13],[2,4,6,7,8,9,14],[2,4,6,8,10,11,13],[2,4,7,10,12,13,14],[2,5,6,9,11,12,14],[2,5,8,9,10,11,13],[3,4,5,8,12,13,14],[3,4,5,9,11,13,14],[3,4,6,7,9,10,11],[3,5,6,7,10,13,14],[3,5,7,8,9,10,12],[4,5,6,7,8,11,12]]; G[590]:=Group([(2,13,14)(3,6,8)(4,12,10)(5,9,11)]); # Design 591: autom. group order 3, simple, residual B[591]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,10,13,14],[1,2,5,8,11,12,13],[1,3,6,7,9,11,13],[1,3,8,9,10,11,14],[1,4,5,6,9,12,14],[1,4,7,8,10,12,14],[1,4,7,9,11,13,14],[1,5,6,8,11,12,13],[1,6,7,8,9,10,12],[2,3,6,8,9,12,14],[2,3,7,8,12,13,14],[2,4,6,7,8,9,13],[2,4,6,7,10,11,12],[2,4,8,9,10,11,13],[2,5,6,9,10,11,14],[2,5,7,9,11,12,14],[3,4,5,7,8,11,14],[3,4,5,9,10,12,13],[3,4,6,11,12,13,14],[3,5,6,7,8,10,11],[3,5,7,9,10,12,13],[4,5,6,8,10,13,14]]; G[591]:=Group([(1,8,11)(3,9,10)(5,13,12)]); # Design 592: autom. group order 3, simple, residual B[592]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,7,8,12,14],[1,3,8,9,10,12,13],[1,4,5,6,10,13,14],[1,4,7,8,12,13,14],[1,4,7,9,10,11,13],[1,5,6,9,11,12,14],[1,6,7,8,9,10,11],[2,3,6,8,9,11,13],[2,3,7,11,12,13,14],[2,4,6,7,8,9,14],[2,4,6,7,10,11,12],[2,4,8,9,10,12,14],[2,5,6,8,10,12,13],[2,5,7,9,10,13,14],[3,4,5,7,9,12,13],[3,4,5,8,10,11,14],[3,4,6,9,11,13,14],[3,5,6,7,9,10,12],[3,5,7,8,10,11,14],[4,5,6,8,11,12,13]]; G[592]:=Group([(1,9,12)(3,8,10)(5,14,11)]); # Design 593: autom. group order 3, simple, residual B[593]:=[[1,2,3,4,5,6,7],[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],[1,3,7,9,11,12,14],[1,4,5,6,12,13,14],[1,4,7,8,9,12,14],[1,4,7,8,10,11,13],[1,5,6,8,9,10,11],[1,6,8,9,10,12,13],[2,3,7,8,9,11,13],[2,3,8,10,12,13,14],[2,4,6,7,8,10,12],[2,4,6,9,10,11,14],[2,4,6,9,11,13,14],[2,5,6,7,8,11,12],[2,5,7,9,10,12,14],[3,4,5,8,9,10,14],[3,4,5,10,11,12,13],[3,4,6,7,9,12,13],[3,5,6,7,9,10,13],[3,5,6,8,11,12,14],[4,5,7,8,11,13,14]]; G[593]:=Group([(1,5,12)(2,11,9)(3,8,7)(4,6,14)]); # Design 594: autom. group order 3, simple, residual B[594]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,7,11,12,14],[1,3,7,8,10,12,14],[1,4,5,6,10,13,14],[1,4,7,8,9,10,14],[1,4,7,9,11,12,13],[1,5,6,8,9,11,12],[1,6,8,9,10,11,13],[2,3,7,8,9,12,13],[2,3,9,10,11,13,14],[2,4,6,7,9,10,11],[2,4,6,8,11,12,14],[2,4,6,8,12,13,14],[2,5,6,7,9,10,12],[2,5,7,8,10,11,14],[3,4,5,8,9,11,14],[3,4,5,10,11,12,13],[3,4,6,7,9,13,14],[3,5,6,7,8,11,13],[3,5,6,9,10,12,14],[4,5,7,8,10,12,13]]; G[594]:=Group([(1,5,10)(2,12,8)(3,9,7)(4,6,14)]); # Design 595: autom. group order 3, simple, residual B[595]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,7,12,13,14],[1,3,7,8,10,12,14],[1,4,5,6,10,11,14],[1,4,7,8,9,10,14],[1,4,7,9,11,12,13],[1,5,6,8,9,11,12],[1,6,8,9,10,11,13],[2,3,7,8,9,11,12],[2,3,9,10,11,13,14],[2,4,6,7,9,10,13],[2,4,6,8,11,12,14],[2,4,6,8,12,13,14],[2,5,6,7,9,10,12],[2,5,7,8,10,11,14],[3,4,5,8,9,13,14],[3,4,5,10,11,12,13],[3,4,6,7,9,11,14],[3,5,6,7,8,11,13],[3,5,6,9,10,12,14],[4,5,7,8,10,12,13]]; G[595]:=Group([(1,5,10)(2,12,8)(3,9,7)(4,6,14)]); # Design 596: autom. group order 3, simple B[596]:=[[1,2,3,4,5,6,7],[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],[1,3,6,7,10,12,13],[1,3,7,9,11,13,14],[1,4,5,10,11,12,14],[1,4,6,8,9,10,11],[1,4,6,8,9,12,13],[1,5,6,7,8,11,14],[1,7,8,9,10,12,14],[2,3,6,9,10,11,14],[2,3,7,8,9,11,12],[2,4,6,7,9,10,14],[2,4,7,8,10,13,14],[2,4,7,8,11,12,13],[2,5,6,8,11,12,14],[2,5,6,9,10,12,13],[3,4,5,7,9,12,14],[3,4,5,8,10,13,14],[3,4,6,11,12,13,14],[3,5,6,7,8,10,12],[3,5,8,9,10,11,13],[4,5,6,7,9,11,13]]; G[596]:=Group([(2,8,10)(3,9,11)(5,6,12)(7,13,14)]); # Design 597: autom. group order 3, simple, residual B[597]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,13,14],[1,2,5,9,10,11,12],[1,3,6,8,10,11,13],[1,3,7,8,11,12,14],[1,4,5,7,11,13,14],[1,4,6,7,9,12,13],[1,4,6,8,9,10,14],[1,5,9,10,12,13,14],[1,6,7,8,9,11,12],[2,3,6,7,9,11,14],[2,3,8,9,12,13,14],[2,4,6,11,12,13,14],[2,4,7,8,10,12,14],[2,4,7,9,10,11,13],[2,5,6,7,8,10,12],[2,5,6,8,9,11,13],[3,4,5,6,9,12,14],[3,4,5,8,11,12,13],[3,4,7,8,9,10,13],[3,5,6,7,10,12,13],[3,5,7,9,10,11,14],[4,5,6,8,10,11,14]]; G[597]:=Group([(1,7,10)(2,11,8)(3,14,4)(5,9,6)]); # Design 598: autom. group order 3, simple, residual B[598]:=[[1,2,3,4,5,6,7],[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],[1,2,5,9,10,12,14],[1,3,6,8,9,12,14],[1,3,7,8,9,11,13],[1,4,5,7,11,12,14],[1,4,6,7,9,12,13],[1,4,6,9,10,13,14],[1,5,8,10,11,13,14],[1,6,7,8,10,11,12],[2,3,6,8,12,13,14],[2,3,7,9,10,11,14],[2,4,6,7,8,11,14],[2,4,7,8,9,10,13],[2,4,9,11,12,13,14],[2,5,6,7,10,12,13],[2,5,6,8,9,11,12],[3,4,5,6,11,13,14],[3,4,5,8,10,12,13],[3,4,7,8,10,12,14],[3,5,6,7,9,10,14],[3,5,7,9,11,12,13],[4,5,6,8,9,10,11]]; G[598]:=Group([(1,8,9)(2,12,7)(4,14,11)(5,6,13)]); # Design 599: autom. group order 3, simple, residual B[599]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,7,8,12,14],[1,3,8,9,11,12,13],[1,4,5,7,11,13,14],[1,4,6,8,12,13,14],[1,4,6,9,10,11,13],[1,5,7,9,10,12,14],[1,6,7,8,9,10,11],[2,3,7,8,10,12,13],[2,3,7,9,11,13,14],[2,4,6,7,8,9,14],[2,4,6,7,10,11,12],[2,4,8,9,11,12,14],[2,5,6,8,9,10,13],[2,5,6,11,12,13,14],[3,4,5,6,9,12,13],[3,4,5,8,10,11,14],[3,4,7,9,10,13,14],[3,5,6,7,9,11,12],[3,5,6,8,10,11,14],[4,5,7,8,10,12,13]]; G[599]:=Group([(1,9,12)(3,8,11)(5,14,10)]); # Design 600: autom. group order 3, simple B[600]:=[[1,2,3,4,5,6,7],[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],[1,2,5,7,11,12,14],[1,3,6,9,10,11,13],[1,3,7,8,10,12,14],[1,4,5,9,12,13,14],[1,4,6,8,9,11,14],[1,4,7,10,11,13,14],[1,5,6,8,10,12,13],[1,6,7,8,9,11,12],[2,3,6,7,11,12,13],[2,3,8,9,10,12,14],[2,4,6,7,8,13,14],[2,4,6,9,10,12,13],[2,4,7,8,9,10,11],[2,5,6,9,11,12,14],[2,5,8,10,11,13,14],[3,4,5,6,10,11,14],[3,4,5,8,11,12,13],[3,4,7,9,12,13,14],[3,5,6,7,9,10,14],[3,5,7,8,9,11,13],[4,5,6,7,8,10,12]]; G[600]:=Group([(1,4,9)(2,13,11)(3,12,6)(5,14,8)]); # Design 601: autom. group order 3, simple B[601]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,9,10,12,13],[1,3,6,7,8,13,14],[1,3,7,9,10,11,14],[1,4,5,11,12,13,14],[1,4,6,7,8,10,12],[1,4,7,9,12,13,14],[1,5,6,8,9,11,14],[1,6,8,9,10,11,12],[2,3,6,7,9,11,12],[2,3,8,11,12,13,14],[2,4,6,8,9,11,13],[2,4,6,9,10,13,14],[2,4,7,8,10,11,14],[2,5,6,7,9,12,14],[2,5,7,8,10,12,14],[3,4,5,6,11,12,14],[3,4,5,8,9,10,14],[3,4,7,8,9,12,13],[3,5,6,8,10,12,13],[3,5,7,9,10,11,13],[4,5,6,7,10,11,13]]; G[601]:=Group([(1,5,10)(2,13,12)(3,11,8)(4,7,6)]); # Design 602: autom. group order 3, simple B[602]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,7,10,13,14],[1,3,7,9,11,12,13],[1,4,5,8,11,13,14],[1,4,6,8,9,12,13],[1,4,7,9,10,12,14],[1,5,6,7,8,11,12],[1,6,8,9,10,11,14],[2,3,6,9,11,12,14],[2,3,7,8,9,13,14],[2,4,6,7,11,12,13],[2,4,6,8,10,12,14],[2,4,7,8,11,13,14],[2,5,6,9,10,11,13],[2,5,7,8,9,10,12],[3,4,5,6,9,11,14],[3,4,5,10,12,13,14],[3,4,7,8,9,10,11],[3,5,6,7,8,12,14],[3,5,8,10,11,12,13],[4,5,6,7,9,10,13]]; G[602]:=Group([(1,9,12)(2,11,8)(3,6,5)(4,14,7)]); # Design 603: autom. group order 3, simple B[603]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,7,10,13,14],[1,3,7,9,11,12,13],[1,4,5,8,10,11,14],[1,4,6,8,9,12,13],[1,4,7,9,10,12,14],[1,5,6,7,8,11,12],[1,6,8,9,10,11,14],[2,3,6,9,11,12,14],[2,3,7,8,9,10,14],[2,4,6,7,10,11,12],[2,4,6,8,12,13,14],[2,4,7,8,11,13,14],[2,5,6,9,10,11,13],[2,5,7,8,9,10,12],[3,4,5,6,9,11,14],[3,4,5,10,12,13,14],[3,4,7,8,9,11,13],[3,5,6,7,8,12,14],[3,5,8,10,11,12,13],[4,5,6,7,9,10,13]]; G[603]:=Group([(1,9,12)(2,11,8)(3,6,5)(4,14,7)]); # Design 604: autom. group order 3, simple, residual B[604]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,7,9,12,13],[1,3,7,8,10,13,14],[1,4,5,9,10,12,14],[1,4,6,9,12,13,14],[1,4,7,8,10,11,12],[1,5,6,8,9,11,14],[1,6,7,8,9,10,11],[2,3,6,8,9,11,12],[2,3,7,8,9,12,14],[2,4,6,7,8,10,14],[2,4,6,9,10,11,13],[2,4,7,9,11,13,14],[2,5,6,8,10,12,13],[2,5,7,9,10,12,14],[3,4,5,6,7,11,14],[3,4,5,8,9,10,13],[3,4,8,11,12,13,14],[3,5,6,10,11,12,14],[3,5,7,9,10,11,13],[4,5,6,7,8,12,13]]; G[604]:=Group([(1,5,9)(2,10,6)(3,12,11)(4,14,8)]); # Design 605: autom. group order 3, simple, residual B[605]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,10,11,12],[1,3,6,7,9,11,13],[1,3,8,9,11,12,13],[1,4,5,7,12,13,14],[1,4,6,9,10,12,14],[1,4,7,8,9,10,14],[1,5,6,8,9,11,14],[1,6,7,8,10,12,13],[2,3,6,7,8,12,14],[2,3,7,8,9,12,14],[2,4,6,7,9,10,11],[2,4,6,8,11,13,14],[2,4,9,11,12,13,14],[2,5,6,8,9,10,13],[2,5,7,9,10,12,13],[3,4,5,6,9,12,13],[3,4,5,8,10,13,14],[3,4,7,8,10,11,13],[3,5,6,10,11,12,14],[3,5,7,9,10,11,14],[4,5,6,7,8,11,12]]; G[605]:=Group([(1,10,13)(2,3,14)(4,5,11)(7,12,8)]); # Design 606: autom. group order 3, simple B[606]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,13,14],[1,2,5,10,11,12,13],[1,3,6,7,9,11,14],[1,3,8,9,10,12,14],[1,4,5,7,9,12,14],[1,4,6,8,12,13,14],[1,4,7,8,10,11,13],[1,5,6,9,11,12,13],[1,6,7,8,9,10,11],[2,3,6,8,9,12,13],[2,3,7,8,11,12,14],[2,4,6,7,8,11,12],[2,4,6,9,11,13,14],[2,4,7,9,10,13,14],[2,5,6,7,9,10,12],[2,5,8,9,10,11,14],[3,4,5,6,10,11,14],[3,4,5,8,9,11,13],[3,4,7,9,10,12,13],[3,5,6,7,8,10,13],[3,5,7,11,12,13,14],[4,5,6,8,10,12,14]]; G[606]:=Group([(1,7,12)(2,10,8)(3,13,6)(5,9,14)]); # Design 607: autom. group order 3, simple, residual B[607]:=[[1,2,3,4,5,6,7],[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],[1,3,6,7,9,10,12],[1,3,9,11,12,13,14],[1,4,5,8,10,12,14],[1,4,6,7,8,11,13],[1,4,7,9,10,13,14],[1,5,6,8,9,10,11],[1,6,7,8,11,12,14],[2,3,6,8,10,13,14],[2,3,7,8,9,11,12],[2,4,6,7,9,12,13],[2,4,6,9,10,11,14],[2,4,7,8,10,12,14],[2,5,6,10,11,12,13],[2,5,7,8,9,11,14],[3,4,5,6,11,12,14],[3,4,5,7,11,13,14],[3,4,8,9,10,11,13],[3,5,6,7,9,10,14],[3,5,7,8,10,12,13],[4,5,6,8,9,12,13]]; G[607]:=Group([(2,6,14)(3,8,13)(4,11,9)(5,7,12)]); # Design 608: autom. group order 3, simple, residual B[608]:=[[1,2,3,4,5,6,7],[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],[1,3,6,7,9,10,12],[1,3,9,11,12,13,14],[1,4,5,8,10,12,14],[1,4,6,7,8,11,13],[1,4,7,9,10,13,14],[1,5,6,8,9,10,11],[1,6,7,8,11,12,14],[2,3,6,8,10,13,14],[2,3,7,8,9,11,12],[2,4,6,7,9,12,13],[2,4,6,9,10,11,14],[2,4,8,10,11,12,13],[2,5,6,7,10,12,14],[2,5,7,8,9,11,14],[3,4,5,6,11,12,14],[3,4,5,7,11,13,14],[3,4,7,8,9,10,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,8,9,12,13]]; G[608]:=Group([(2,6,14)(3,8,13)(4,11,9)(5,7,12)]); # Design 609: autom. group order 3, simple, residual B[609]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,10,11,12],[1,2,5,8,11,13,14],[1,3,6,7,9,11,13],[1,3,8,9,11,12,13],[1,4,5,8,12,13,14],[1,4,6,8,9,10,14],[1,4,7,9,10,12,14],[1,5,6,7,9,11,14],[1,6,7,8,10,12,13],[2,3,6,7,8,12,14],[2,3,7,8,9,12,14],[2,4,6,8,9,10,11],[2,4,6,11,12,13,14],[2,4,7,9,11,13,14],[2,5,6,9,10,12,13],[2,5,7,8,9,10,13],[3,4,5,6,9,12,13],[3,4,5,7,10,13,14],[3,4,7,8,10,11,13],[3,5,6,8,10,11,14],[3,5,9,10,11,12,14],[4,5,6,7,8,11,12]]; G[609]:=Group([(1,10,13)(2,3,14)(4,5,11)(7,8,12)]); # Design 610: autom. group order 3, simple, residual B[610]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,10,11,12],[1,3,6,8,9,11,13],[1,3,7,9,11,12,13],[1,4,5,7,12,13,14],[1,4,6,7,9,10,14],[1,4,8,9,10,12,14],[1,5,6,8,9,11,14],[1,6,7,8,10,12,13],[2,3,6,7,8,12,14],[2,3,7,8,9,12,14],[2,4,6,7,9,10,11],[2,4,6,8,11,13,14],[2,4,9,11,12,13,14],[2,5,6,9,10,12,13],[2,5,7,8,9,10,13],[3,4,5,6,9,12,13],[3,4,5,8,10,13,14],[3,4,7,8,10,11,13],[3,5,6,10,11,12,14],[3,5,7,9,10,11,14],[4,5,6,7,8,11,12]]; G[610]:=Group([(1,10,13)(2,3,14)(4,5,11)(7,12,8)]); # Design 611: autom. group order 3, simple, residual B[611]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,8,9,12,14],[1,3,7,8,10,11,12],[1,4,5,7,10,13,14],[1,4,6,7,9,11,14],[1,4,8,9,11,12,13],[1,5,6,11,12,13,14],[1,6,7,8,9,10,13],[2,3,6,7,11,12,13],[2,3,7,8,9,13,14],[2,4,6,7,8,12,14],[2,4,6,9,10,12,13],[2,4,8,10,11,13,14],[2,5,6,8,9,10,11],[2,5,7,9,11,12,14],[3,4,5,6,9,11,13],[3,4,5,8,12,13,14],[3,4,7,9,10,11,14],[3,5,6,8,10,11,14],[3,5,7,9,10,12,13],[4,5,6,7,8,10,12]]; G[611]:=Group([(1,8,14)(2,10,7)(3,6,9)(4,5,11)]); # Design 612: autom. group order 3, simple B[612]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,10,12,14],[1,3,6,8,9,12,14],[1,3,7,8,9,11,13],[1,4,5,7,9,11,14],[1,4,6,7,10,13,14],[1,4,8,11,12,13,14],[1,5,6,8,9,10,13],[1,6,7,9,10,11,12],[2,3,6,9,12,13,14],[2,3,7,8,10,11,14],[2,4,6,7,8,12,13],[2,4,6,8,9,11,14],[2,4,7,8,9,10,13],[2,5,6,7,9,11,12],[2,5,9,10,11,13,14],[3,4,5,6,11,13,14],[3,4,5,9,10,12,13],[3,4,7,9,10,12,14],[3,5,6,7,8,10,14],[3,5,7,8,11,12,13],[4,5,6,8,10,11,12]]; G[612]:=Group([(1,8,9)(2,7,12)(4,11,14)(5,13,6)]); # Design 613: autom. group order 3, simple, residual B[613]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,10,11,12],[1,3,6,9,11,12,13],[1,3,7,8,9,11,13],[1,4,5,7,12,13,14],[1,4,6,8,9,10,14],[1,4,7,9,10,12,14],[1,5,6,8,9,11,14],[1,6,7,8,10,12,13],[2,3,6,7,8,12,14],[2,3,7,8,9,12,14],[2,4,6,7,9,10,11],[2,4,6,8,11,13,14],[2,4,9,11,12,13,14],[2,5,6,7,9,10,13],[2,5,8,9,10,12,13],[3,4,5,6,9,12,13],[3,4,5,8,10,13,14],[3,4,7,8,10,11,13],[3,5,6,10,11,12,14],[3,5,7,9,10,11,14],[4,5,6,7,8,11,12]]; G[613]:=Group([(1,10,13)(2,3,14)(4,5,11)(7,12,8)]); # Design 614: autom. group order 3, simple, residual B[614]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,8,11,12,14],[1,3,7,9,10,13,14],[1,4,5,7,11,12,13],[1,4,6,10,11,13,14],[1,4,7,8,9,11,14],[1,5,6,8,9,10,12],[1,6,7,8,9,12,13],[2,3,6,7,9,11,14],[2,3,7,8,11,12,13],[2,4,6,7,9,12,13],[2,4,6,9,10,12,14],[2,4,8,9,10,11,13],[2,5,6,8,11,13,14],[2,5,7,8,10,12,14],[3,4,5,6,12,13,14],[3,4,5,8,9,13,14],[3,4,7,8,10,12,14],[3,5,6,7,9,10,11],[3,5,9,10,11,12,13],[4,5,6,7,8,10,11]]; G[614]:=Group([(2,8,13)(3,6,10)(4,12,14)(5,9,7)]); # Design 615: autom. group order 3, simple B[615]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,8,12,13,14],[1,3,7,8,10,11,14],[1,4,5,7,10,13,14],[1,4,6,9,10,11,13],[1,4,7,8,9,12,14],[1,5,6,9,11,12,13],[1,6,7,8,9,10,12],[2,3,6,8,9,11,14],[2,3,7,9,10,12,13],[2,4,6,7,9,13,14],[2,4,6,7,11,12,14],[2,4,8,10,11,12,13],[2,5,6,7,8,10,12],[2,5,8,9,10,13,14],[3,4,5,6,8,12,13],[3,4,5,9,10,12,14],[3,4,7,8,9,11,13],[3,5,6,7,9,10,11],[3,5,7,11,12,13,14],[4,5,6,8,10,11,14]]; G[615]:=Group([(1,6,12)(3,7,11)(5,14,10)(8,9,13)]); # Design 616: autom. group order 3, simple, residual B[616]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,8,11,12,14],[1,3,7,9,11,12,14],[1,4,5,7,10,12,14],[1,4,6,9,10,11,13],[1,4,8,9,12,13,14],[1,5,6,7,8,10,12],[1,6,7,8,9,10,13],[2,3,6,7,8,9,14],[2,3,7,9,10,12,13],[2,4,6,7,12,13,14],[2,4,6,8,10,11,14],[2,4,7,8,11,12,13],[2,5,6,9,10,11,12],[2,5,8,9,10,12,14],[3,4,5,6,9,12,13],[3,4,5,8,10,13,14],[3,4,7,8,9,10,11],[3,5,6,8,11,12,13],[3,5,7,10,11,13,14],[4,5,6,7,9,11,14]]; G[616]:=Group([(1,12,13)(2,10,3)(4,9,14)(6,11,7)]); # Design 617: autom. group order 3, simple, residual B[617]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,8,11,12,14],[1,3,7,9,11,12,14],[1,4,5,8,10,12,14],[1,4,6,7,9,10,13],[1,4,7,9,12,13,14],[1,5,6,7,8,10,12],[1,6,8,9,10,11,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,6,7,10,11,14],[2,4,6,8,11,12,13],[2,4,7,8,12,13,14],[2,5,6,9,10,12,14],[2,5,7,9,10,11,12],[3,4,5,6,9,12,13],[3,4,5,10,11,13,14],[3,4,7,8,9,10,11],[3,5,6,7,11,12,13],[3,5,7,8,10,13,14],[4,5,6,8,9,11,14]]; G[617]:=Group([(1,12,13)(2,10,3)(4,9,14)(6,11,8)]); # Design 618: autom. group order 3, simple, residual B[618]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,12,13,14],[1,3,7,9,10,11,14],[1,4,5,9,11,12,14],[1,4,6,7,8,9,13],[1,4,7,8,11,13,14],[1,5,6,7,10,12,13],[1,6,8,9,10,11,12],[2,3,6,8,9,12,14],[2,3,7,8,9,11,13],[2,4,6,7,11,12,14],[2,4,6,9,10,13,14],[2,4,7,9,10,12,13],[2,5,6,7,8,11,12],[2,5,8,10,11,13,14],[3,4,5,6,11,13,14],[3,4,5,8,10,12,13],[3,4,7,8,10,12,14],[3,5,6,7,9,10,14],[3,5,7,9,11,12,13],[4,5,6,8,9,10,11]]; G[618]:=Group([(1,7,12)(2,9,8)(4,11,14)(5,13,6)]); # Design 619: autom. group order 3, simple, residual B[619]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,12,13,14],[1,3,7,9,10,12,14],[1,4,5,11,12,13,14],[1,4,6,7,8,9,10],[1,4,7,8,11,12,14],[1,5,6,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,7,11,12,13],[2,3,7,8,9,11,14],[2,4,6,8,10,12,13],[2,4,6,9,10,12,14],[2,4,8,9,11,13,14],[2,5,6,7,9,11,12],[2,5,7,8,10,12,14],[3,4,5,6,10,11,14],[3,4,5,7,8,12,13],[3,4,7,9,10,11,13],[3,5,6,8,10,11,14],[3,5,8,9,10,12,13],[4,5,6,7,9,13,14]]; G[619]:=Group([(1,2,12)(3,10,11)(5,6,14)(7,9,13)]); # Design 620: autom. group order 3, simple, residual B[620]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,10,11,12],[1,2,5,8,11,13,14],[1,3,6,9,11,12,13],[1,3,7,8,9,11,13],[1,4,5,8,12,13,14],[1,4,6,7,9,10,14],[1,4,8,9,10,12,14],[1,5,6,7,9,11,14],[1,6,7,8,10,12,13],[2,3,6,7,8,12,14],[2,3,7,8,9,12,14],[2,4,6,8,9,10,11],[2,4,6,11,12,13,14],[2,4,7,9,11,13,14],[2,5,6,8,9,10,13],[2,5,7,9,10,12,13],[3,4,5,6,9,12,13],[3,4,5,7,10,13,14],[3,4,7,8,10,11,13],[3,5,6,8,10,11,14],[3,5,9,10,11,12,14],[4,5,6,7,8,11,12]]; G[620]:=Group([(1,10,13)(2,3,14)(4,5,11)(7,8,12)]); # Design 621: autom. group order 3, simple, residual B[621]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,10,11,12],[1,2,5,8,11,13,14],[1,3,6,8,9,11,13],[1,3,7,9,11,12,13],[1,4,5,8,12,13,14],[1,4,6,9,10,12,14],[1,4,7,8,9,10,14],[1,5,6,7,9,11,14],[1,6,7,8,10,12,13],[2,3,6,7,8,12,14],[2,3,7,8,9,12,14],[2,4,6,8,9,10,11],[2,4,6,11,12,13,14],[2,4,7,9,11,13,14],[2,5,6,7,9,10,13],[2,5,8,9,10,12,13],[3,4,5,6,9,12,13],[3,4,5,7,10,13,14],[3,4,7,8,10,11,13],[3,5,6,8,10,11,14],[3,5,9,10,11,12,14],[4,5,6,7,8,11,12]]; G[621]:=Group([(1,10,13)(2,3,14)(4,5,11)(7,8,12)]); # Design 622: autom. group order 3, simple B[622]:=[[1,2,3,4,5,6,7],[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],[1,2,5,10,11,12,14],[1,3,6,9,10,11,13],[1,3,7,9,12,13,14],[1,4,5,8,12,13,14],[1,4,6,8,10,11,14],[1,4,7,8,9,11,12],[1,5,6,7,11,13,14],[1,6,7,8,9,10,12],[2,3,6,9,11,12,14],[2,3,7,8,11,12,13],[2,4,6,7,8,11,13],[2,4,6,7,9,10,14],[2,4,7,10,12,13,14],[2,5,6,8,9,12,14],[2,5,8,9,10,11,13],[3,4,5,6,10,12,13],[3,4,5,7,9,11,14],[3,4,8,9,10,13,14],[3,5,6,7,8,10,12],[3,5,7,8,10,11,14],[4,5,6,9,11,12,13]]; G[622]:=Group([(1,13,14)(3,8,6)(4,11,9)(5,7,12)]); # Design 623: autom. group order 3, simple, residual B[623]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,11,12,13,14],[1,3,6,8,9,12,14],[1,3,7,9,10,13,14],[1,4,5,9,10,11,14],[1,4,6,9,11,12,13],[1,4,7,8,10,12,14],[1,5,6,7,8,10,12],[1,6,7,8,9,11,13],[2,3,6,8,9,10,11],[2,3,7,8,11,12,14],[2,4,6,7,9,11,14],[2,4,6,8,12,13,14],[2,4,7,9,10,12,13],[2,5,6,7,9,10,12],[2,5,8,9,10,13,14],[3,4,5,6,7,13,14],[3,4,5,8,9,12,13],[3,4,7,8,10,11,13],[3,5,6,10,11,12,13],[3,5,7,9,11,12,14],[4,5,6,8,10,11,14]]; G[623]:=Group([(1,5,7)(2,6,8)(3,10,11)(4,12,13)]); # Design 624: autom. group order 3, simple, residual B[624]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,9,12,14],[1,3,7,9,10,11,14],[1,4,5,11,12,13,14],[1,4,6,8,11,12,14],[1,4,7,8,9,10,13],[1,5,6,7,9,11,13],[1,6,7,8,10,12,13],[2,3,6,8,9,13,14],[2,3,7,8,11,12,13],[2,4,6,7,8,11,14],[2,4,6,9,10,12,13],[2,4,7,9,11,13,14],[2,5,6,7,10,12,14],[2,5,8,9,10,11,12],[3,4,5,6,10,13,14],[3,4,5,7,8,12,13],[3,4,7,9,10,12,14],[3,5,6,7,9,11,12],[3,5,8,10,11,13,14],[4,5,6,8,9,10,11]]; G[624]:=Group([(1,8,11)(2,13,9)(3,7,5)(4,12,6)]); # Design 625: autom. group order 3, simple, residual B[625]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,8,9,12,13],[1,3,7,9,10,11,13],[1,4,5,10,12,13,14],[1,4,6,8,10,11,12],[1,4,7,8,9,13,14],[1,5,6,7,9,10,14],[1,6,7,8,11,12,14],[2,3,6,8,9,11,14],[2,3,7,8,10,12,14],[2,4,6,7,8,10,13],[2,4,6,9,12,13,14],[2,4,7,9,10,11,14],[2,5,6,7,11,12,13],[2,5,8,9,10,12,13],[3,4,5,6,11,13,14],[3,4,5,7,8,12,14],[3,4,7,9,11,12,13],[3,5,6,7,9,10,12],[3,5,8,10,11,13,14],[4,5,6,8,9,10,11]]; G[625]:=Group([(1,8,10)(2,14,9)(3,7,5)(4,12,6)]); # Design 626: autom. group order 3, simple, residual B[626]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,8,9,10,11],[1,3,9,11,12,13,14],[1,4,5,8,10,12,14],[1,4,6,7,10,12,13],[1,4,7,8,9,11,13],[1,5,6,7,11,12,14],[1,6,7,8,9,10,14],[2,3,6,7,9,11,12],[2,3,7,8,10,13,14],[2,4,6,8,11,12,14],[2,4,6,8,11,13,14],[2,4,7,9,10,12,13],[2,5,6,8,9,10,12],[2,5,7,9,10,11,14],[3,4,5,6,9,13,14],[3,4,5,7,10,11,14],[3,4,7,8,9,12,14],[3,5,6,7,8,12,13],[3,5,8,10,11,12,13],[4,5,6,9,10,11,13]]; G[626]:=Group([(1,5,10)(2,11,6)(3,7,9)(4,14,8)]); # Design 627: autom. group order 3, simple, residual B[627]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,8,9,10,11],[1,3,9,11,12,13,14],[1,4,5,8,10,13,14],[1,4,6,7,10,12,13],[1,4,7,8,9,11,12],[1,5,6,7,11,12,14],[1,6,7,8,9,10,14],[2,3,6,7,9,11,13],[2,3,7,8,10,12,14],[2,4,6,8,11,12,14],[2,4,6,8,11,13,14],[2,4,7,9,10,12,13],[2,5,6,8,9,10,12],[2,5,7,9,10,11,14],[3,4,5,6,9,12,14],[3,4,5,7,10,11,14],[3,4,7,8,9,13,14],[3,5,6,7,8,12,13],[3,5,8,10,11,12,13],[4,5,6,9,10,11,13]]; G[627]:=Group([(1,5,10)(2,11,6)(3,7,9)(4,14,8)]); # Design 628: autom. group order 3, simple B[628]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,5,9,11,12,14],[1,3,6,7,8,12,14],[1,3,8,11,12,13,14],[1,4,5,7,9,13,14],[1,4,6,9,11,13,14],[1,4,7,8,9,10,12],[1,5,6,7,8,10,13],[1,6,7,9,10,11,12],[2,3,6,7,9,11,13],[2,3,7,8,9,12,13],[2,4,6,7,8,11,14],[2,4,6,9,10,12,13],[2,4,7,8,10,11,14],[2,5,6,8,9,12,14],[2,5,7,10,12,13,14],[3,4,5,6,10,12,14],[3,4,5,7,11,12,13],[3,4,8,9,10,13,14],[3,5,6,8,9,10,11],[3,5,7,9,10,11,14],[4,5,6,8,11,12,13]]; G[628]:=Group([(1,5,9)(2,14,4)(3,12,13)(7,8,11)]); # Design 629: autom. group order 3, simple, residual B[629]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,8,11,12,14],[1,3,7,8,9,12,13],[1,4,5,7,11,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,11,14],[1,5,6,7,8,9,10],[1,6,7,9,11,12,13],[2,3,6,7,8,11,13],[2,3,7,9,10,11,14],[2,4,6,7,8,9,14],[2,4,6,9,12,13,14],[2,4,7,8,10,12,13],[2,5,6,7,10,11,12],[2,5,8,9,11,12,14],[3,4,5,6,9,11,12],[3,4,5,7,12,13,14],[3,4,8,9,10,11,13],[3,5,6,9,10,13,14],[3,5,7,8,10,12,14],[4,5,6,8,10,11,13]]; G[629]:=Group([(1,4,13)(2,10,12)(3,8,9)(5,11,7)]); # Design 630: autom. group order 3, simple, residual B[630]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,10,11,12],[1,2,5,8,11,13,14],[1,3,6,8,9,11,13],[1,3,7,8,9,10,14],[1,4,5,7,9,13,14],[1,4,6,9,11,12,14],[1,4,7,8,11,12,13],[1,5,6,10,12,13,14],[1,6,7,8,9,10,12],[2,3,6,7,8,12,14],[2,3,9,11,12,13,14],[2,4,6,7,9,11,14],[2,4,7,8,10,13,14],[2,4,8,9,10,12,13],[2,5,6,7,9,12,13],[2,5,6,8,9,10,11],[3,4,5,6,8,12,13],[3,4,5,9,10,12,14],[3,4,6,7,10,11,13],[3,5,7,8,11,12,14],[3,5,7,9,10,11,13],[4,5,6,8,10,11,14]]; G[630]:=Group([(1,8,11)(2,7,6)(3,14,4)(5,12,9)]); # Design 631: autom. group order 3, simple, residual B[631]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,7,8,10,12],[1,3,7,9,11,12,13],[1,4,5,7,8,11,14],[1,4,6,8,11,12,14],[1,4,7,9,10,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,11,13],[2,3,6,7,8,13,14],[2,3,8,9,11,12,14],[2,4,6,8,9,12,13],[2,4,7,8,9,10,14],[2,4,7,10,11,12,13],[2,5,6,7,9,10,11],[2,5,6,7,11,12,14],[3,4,5,6,9,11,13],[3,4,5,7,12,13,14],[3,4,6,9,10,11,14],[3,5,7,8,9,10,12],[3,5,8,10,11,13,14],[4,5,6,8,10,12,13]]; G[631]:=Group([(1,6,10)(2,8,9)(3,12,14)(5,13,7)]); # Design 632: autom. group order 3, simple, residual B[632]:=[[1,2,3,4,5,6,7],[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],[1,2,5,7,11,12,14],[1,3,6,9,10,11,14],[1,3,7,10,11,12,13],[1,4,5,9,12,13,14],[1,4,6,8,9,11,13],[1,4,7,8,10,13,14],[1,5,6,8,10,12,14],[1,6,7,8,9,11,12],[2,3,7,8,9,11,14],[2,3,8,9,10,12,13],[2,4,6,7,8,10,12],[2,4,6,7,11,13,14],[2,4,6,9,10,12,14],[2,5,6,9,11,12,13],[2,5,8,10,11,13,14],[3,4,5,6,10,11,13],[3,4,5,8,11,12,14],[3,4,7,9,12,13,14],[3,5,6,7,8,12,13],[3,5,6,7,9,10,14],[4,5,7,8,9,10,11]]; G[632]:=Group([(1,4,9)(2,14,11)(3,12,6)(5,13,8)]); # Design 633: autom. group order 3, simple, residual B[633]:=[[1,2,3,4,5,6,7],[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],[1,2,5,7,11,12,14],[1,3,6,9,10,11,14],[1,3,7,10,12,13,14],[1,4,5,9,12,13,14],[1,4,6,8,9,11,12],[1,4,7,8,10,11,13],[1,5,6,8,10,11,13],[1,6,7,8,9,12,14],[2,3,7,8,9,11,14],[2,3,8,9,10,12,13],[2,4,6,7,8,10,12],[2,4,6,7,11,13,14],[2,4,6,9,10,13,14],[2,5,6,9,11,12,13],[2,5,8,10,11,12,14],[3,4,5,6,10,12,14],[3,4,5,8,11,13,14],[3,4,7,9,11,12,13],[3,5,6,7,8,12,13],[3,5,6,7,9,10,11],[4,5,7,8,9,10,14]]; G[633]:=Group([(1,6,11)(3,13,12)(4,14,5)(8,9,10)]); # Design 634: autom. group order 3, simple B[634]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,13],[1,2,5,7,11,12,14],[1,3,6,8,9,11,14],[1,3,8,10,12,13,14],[1,4,5,9,11,13,14],[1,4,6,7,11,12,13],[1,4,7,8,9,12,14],[1,5,6,8,9,10,12],[1,6,7,9,10,11,13],[2,3,7,8,9,11,13],[2,3,7,9,12,13,14],[2,4,6,7,9,10,14],[2,4,6,8,9,12,13],[2,4,6,8,10,11,14],[2,5,6,8,11,12,13],[2,5,9,10,11,12,14],[3,4,5,6,12,13,14],[3,4,5,9,10,11,13],[3,4,7,8,10,11,12],[3,5,6,7,8,11,14],[3,5,6,7,9,10,12],[4,5,7,8,10,13,14]]; G[634]:=Group([(1,8,9)(2,11,10)(3,6,5)(4,14,12)]); # Design 635: autom. group order 3, simple B[635]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,9,11,12,14],[1,3,7,9,10,12,13],[1,4,5,7,12,13,14],[1,4,6,8,9,13,14],[1,4,7,8,9,10,12],[1,5,6,8,11,12,13],[1,6,7,8,10,11,14],[2,3,7,8,9,13,14],[2,3,7,8,11,12,14],[2,4,6,7,10,11,13],[2,4,6,8,9,11,12],[2,4,8,10,12,13,14],[2,5,6,7,9,12,14],[2,5,6,9,10,12,13],[3,4,5,6,8,10,14],[3,4,5,11,12,13,14],[3,4,6,7,9,11,13],[3,5,6,7,8,10,12],[3,5,8,9,10,11,13],[4,5,7,9,10,11,14]]; G[635]:=Group([(1,6,14)(2,12,4)(3,9,13)(8,10,11)]); # Design 636: autom. group order 3, simple B[636]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,8,9,12,14],[1,3,7,8,9,12,13],[1,4,5,7,12,13,14],[1,4,6,9,11,13,14],[1,4,7,9,10,11,12],[1,5,6,8,10,12,13],[1,6,7,8,10,11,14],[2,3,7,8,11,12,14],[2,3,7,9,10,13,14],[2,4,6,7,8,10,13],[2,4,6,8,9,10,12],[2,4,8,11,12,13,14],[2,5,6,7,9,12,14],[2,5,6,9,11,12,13],[3,4,5,6,8,11,14],[3,4,5,10,12,13,14],[3,4,6,7,9,11,13],[3,5,6,7,10,11,12],[3,5,8,9,10,11,13],[4,5,7,8,9,10,14]]; G[636]:=Group([(1,6,14)(2,12,4)(3,9,13)(8,11,10)]); # Design 637: autom. group order 3, simple, residual B[637]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,13,14],[1,2,5,9,10,11,12],[1,3,6,8,9,11,13],[1,3,7,9,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,10,11,14],[1,4,7,8,10,12,13],[1,5,6,7,9,11,14],[1,6,7,8,9,10,12],[2,3,7,8,11,12,13],[2,3,7,9,10,11,14],[2,4,6,7,9,10,13],[2,4,6,8,9,12,14],[2,4,8,9,11,13,14],[2,5,6,7,8,11,12],[2,5,6,10,12,13,14],[3,4,5,6,9,12,13],[3,4,5,7,8,10,14],[3,4,6,7,11,12,14],[3,5,6,8,10,11,13],[3,5,8,9,10,12,14],[4,5,7,9,10,11,13]]; G[637]:=Group([(1,7,11)(2,10,8)(3,4,13)(5,9,6)]); # Design 638: autom. group order 3, simple, residual B[638]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,9,11,13],[1,3,7,8,10,11,12],[1,3,7,9,12,13,14],[1,4,5,6,8,12,14],[1,4,6,9,10,11,13],[1,4,7,8,12,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,6,8,10,13,14],[2,4,6,7,11,12,13],[2,4,6,9,11,12,14],[2,4,7,8,9,10,14],[2,5,7,9,10,12,13],[2,5,8,10,11,12,14],[3,4,5,7,10,11,14],[3,4,5,9,10,12,13],[3,4,8,9,11,13,14],[3,5,6,7,9,11,14],[3,5,6,8,11,12,13],[4,5,6,7,8,10,13]]; G[638]:=Group([(2,10,14)(3,6,13)(4,9,7)(5,11,12)]); # Design 639: autom. group order 3, simple, residual B[639]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,7,8,12,13,14],[1,3,7,9,11,12,14],[1,4,5,6,8,11,14],[1,4,6,9,11,12,13],[1,4,8,9,10,13,14],[1,5,6,7,10,12,13],[1,6,7,8,9,10,11],[2,3,6,8,9,13,14],[2,3,6,8,10,11,12],[2,4,6,7,11,13,14],[2,4,7,8,10,12,13],[2,4,7,9,10,11,14],[2,5,6,7,9,12,14],[2,5,8,9,11,12,13],[3,4,5,7,9,10,13],[3,4,5,11,12,13,14],[3,4,6,7,8,9,12],[3,5,6,9,10,11,13],[3,5,7,8,10,11,14],[4,5,6,8,10,12,14]]; G[639]:=Group([(1,6,9)(3,14,5)(4,13,12)(7,8,10)]); # Design 640: autom. group order 3, simple B[640]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,7,8,9,10,14],[1,3,7,9,11,12,13],[1,4,5,6,9,12,13],[1,4,6,8,10,11,14],[1,4,7,9,10,12,14],[1,5,6,8,11,12,14],[1,6,7,8,9,11,13],[2,3,6,8,9,11,12],[2,3,7,8,12,13,14],[2,4,6,7,9,12,14],[2,4,6,7,11,13,14],[2,4,8,9,10,11,13],[2,5,6,7,8,9,10],[2,5,9,10,11,12,14],[3,4,5,7,8,11,14],[3,4,5,9,11,13,14],[3,4,6,8,10,12,13],[3,5,6,7,10,11,12],[3,5,6,9,10,13,14],[4,5,7,8,10,12,13]]; G[640]:=Group([(1,4,13)(2,10,11)(3,8,7)(5,12,9)]); # Design 641: autom. group order 3, simple, residual B[641]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,5,8,9,11,13],[1,3,7,8,10,11,12],[1,3,7,9,12,13,14],[1,4,5,6,8,12,14],[1,4,6,9,10,11,13],[1,4,7,8,12,13,14],[1,5,6,9,10,12,14],[1,6,7,8,9,10,11],[2,3,6,8,10,13,14],[2,3,8,9,11,12,14],[2,4,6,7,11,12,13],[2,4,6,9,11,12,14],[2,4,7,8,9,10,14],[2,5,6,7,8,10,12],[2,5,7,9,10,12,13],[3,4,5,7,10,11,14],[3,4,5,9,10,12,13],[3,4,6,7,8,9,13],[3,5,6,7,9,11,14],[3,5,6,8,11,12,13],[4,5,8,10,11,13,14]]; G[641]:=Group([(2,10,14)(3,6,13)(4,9,7)(5,11,12)]); # Design 642: autom. group order 3, simple, residual B[642]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,7,9,11,13,14],[1,3,8,9,10,11,12],[1,4,5,10,12,13,14],[1,4,6,7,8,9,12],[1,4,6,7,11,12,14],[1,5,6,8,10,11,14],[1,6,7,8,9,10,13],[2,3,6,7,9,10,14],[2,3,6,8,11,12,13],[2,4,7,8,11,13,14],[2,4,7,9,10,12,13],[2,4,8,9,10,11,14],[2,5,6,7,10,11,12],[2,5,6,8,9,12,14],[3,4,5,6,9,11,13],[3,4,5,7,8,10,14],[3,4,6,8,12,13,14],[3,5,7,8,10,12,13],[3,5,7,9,11,12,14],[4,5,6,9,10,11,13]]; G[642]:=Group([(1,8,14)(2,12,7)(4,13,9)(5,6,11)]); # Design 643: autom. group order 3, simple, residual B[643]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,7,12,13,14],[1,3,7,8,9,10,14],[1,3,8,10,11,12,13],[1,4,5,9,11,12,14],[1,4,6,7,9,10,13],[1,4,6,9,11,12,13],[1,5,6,8,10,12,14],[1,6,7,8,9,11,14],[2,3,6,8,9,11,13],[2,3,7,9,11,12,14],[2,4,6,7,10,11,14],[2,4,6,8,12,13,14],[2,4,7,8,9,10,12],[2,5,6,8,9,10,12],[2,5,9,10,11,13,14],[3,4,5,6,8,11,14],[3,4,5,9,10,13,14],[3,4,7,8,12,13,14],[3,5,6,7,9,12,13],[3,5,6,7,10,11,12],[4,5,7,8,10,11,13]]; G[643]:=Group([(1,5,12)(2,6,11)(4,7,10)(8,9,13)]); # Design 644: autom. group order 3, simple B[644]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,5,7,12,13,14],[1,3,7,8,9,10,14],[1,3,8,10,11,12,13],[1,4,5,9,11,12,14],[1,4,6,7,9,10,14],[1,4,6,8,11,12,14],[1,5,6,9,10,12,13],[1,6,7,8,9,11,13],[2,3,6,9,11,13,14],[2,3,7,9,11,12,14],[2,4,6,7,8,10,11],[2,4,6,8,12,13,14],[2,4,7,9,10,12,13],[2,5,6,8,9,10,12],[2,5,8,9,10,11,14],[3,4,5,6,9,11,13],[3,4,5,8,10,13,14],[3,4,7,8,9,12,13],[3,5,6,7,8,12,14],[3,5,6,7,10,11,12],[4,5,7,10,11,13,14]]; G[644]:=Group([(1,5,12)(2,6,11)(4,7,10)(9,14,13)]); # Design 645: autom. group order 3, simple B[645]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,7,8,11,13,14],[1,3,7,9,10,12,13],[1,4,5,9,12,13,14],[1,4,6,7,9,11,13],[1,4,6,8,10,12,14],[1,5,6,8,10,11,14],[1,6,7,8,9,11,12],[2,3,6,8,11,12,13],[2,3,7,8,9,12,14],[2,4,6,8,9,13,14],[2,4,7,10,11,12,14],[2,4,8,9,10,11,13],[2,5,6,7,9,10,11],[2,5,6,7,12,13,14],[3,4,5,6,11,12,13],[3,4,5,7,8,11,14],[3,4,6,7,9,10,14],[3,5,6,8,9,10,12],[3,5,9,10,11,13,14],[4,5,7,8,10,12,13]]; G[645]:=Group([(1,8,11)(3,9,10)(5,13,12)(6,14,7)]); # Design 646: autom. group order 3, simple B[646]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,7,8,12,13,14],[1,3,8,9,10,11,14],[1,4,5,10,12,13,14],[1,4,6,7,9,11,12],[1,4,6,8,10,11,13],[1,5,6,7,9,13,14],[1,6,7,8,9,10,12],[2,3,6,7,8,11,14],[2,3,7,9,10,12,13],[2,4,6,8,9,12,14],[2,4,7,8,9,10,13],[2,4,7,11,12,13,14],[2,5,6,8,10,12,14],[2,5,6,9,10,11,13],[3,4,5,6,8,12,13],[3,4,5,7,9,10,14],[3,4,6,9,11,13,14],[3,5,6,7,10,11,12],[3,5,8,9,11,12,13],[4,5,7,8,10,11,14]]; G[646]:=Group([(1,13,14)(3,10,6)(4,9,8)(5,7,12)]); # Design 647: autom. group order 3, simple, residual B[647]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,7,8,9,14],[1,3,6,7,9,11,13],[1,4,5,8,11,12,14],[1,4,6,9,11,12,13],[1,4,7,8,10,13,14],[1,5,6,7,10,12,14],[1,7,8,9,10,11,12],[2,3,6,9,10,12,14],[2,3,7,8,11,12,14],[2,4,6,7,12,13,14],[2,4,6,8,9,11,14],[2,4,7,8,9,10,13],[2,5,6,7,8,10,11],[2,5,7,9,11,12,13],[3,4,5,7,9,10,12],[3,4,5,7,11,13,14],[3,4,6,8,10,12,13],[3,5,6,8,10,11,13],[3,5,8,9,12,13,14],[4,5,6,9,10,11,14]]; G[647]:=Group([(1,6,10)(2,9,8)(3,11,13)(5,14,7)]); # Design 648: autom. group order 3, simple B[648]:=[[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],[1,2,5,8,10,12,13],[1,2,6,9,12,13,14],[1,3,5,7,9,12,14],[1,3,7,8,9,11,13],[1,4,5,8,11,13,14],[1,4,6,7,9,10,13],[1,4,6,8,11,12,14],[1,5,7,9,10,11,14],[1,6,7,8,10,11,12],[2,3,6,7,11,13,14],[2,3,8,9,10,11,14],[2,4,5,7,11,12,14],[2,4,7,8,9,10,12],[2,4,7,9,11,12,13],[2,5,6,7,8,10,14],[2,5,6,8,9,11,13],[3,4,5,10,11,12,13],[3,4,6,8,9,12,14],[3,4,7,8,10,13,14],[3,5,6,7,8,12,13],[3,5,6,9,10,11,12],[4,5,6,9,10,13,14]]; G[648]:=Group([(1,4,12)(3,7,13)(5,9,10)(6,11,14)]); # Design 649: autom. group order 3, simple B[649]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,6,10,11],[1,2,3,10,11,12,13],[1,2,5,7,8,12,14],[1,2,6,8,12,13,14],[1,3,5,8,10,13,14],[1,3,7,8,9,11,12],[1,4,5,9,11,13,14],[1,4,6,7,10,13,14],[1,4,7,9,10,12,14],[1,5,6,9,11,12,13],[1,6,7,8,9,10,11],[2,3,6,7,9,13,14],[2,3,7,9,11,13,14],[2,4,5,9,10,12,13],[2,4,6,8,11,12,14],[2,4,8,9,10,11,14],[2,5,6,7,9,10,12],[2,5,7,8,10,11,13],[3,4,5,7,11,12,14],[3,4,6,8,9,12,13],[3,4,7,8,10,12,13],[3,5,6,8,9,10,14],[3,5,6,10,11,12,14],[4,5,6,7,8,11,13]]; G[649]:=Group([(1,5,8)(2,3,14)(4,10,12)(7,9,13)]); # Design 650: autom. group order 3, simple B[650]:=[[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],[1,2,6,9,11,12,14],[1,3,5,7,11,12,14],[1,3,7,8,9,12,13],[1,4,5,8,10,13,14],[1,4,6,7,9,12,13],[1,4,7,8,10,11,14],[1,5,6,9,10,11,13],[1,6,7,8,9,10,14],[2,3,6,7,8,13,14],[2,3,7,8,9,10,11],[2,4,5,7,9,13,14],[2,4,6,8,10,12,13],[2,4,8,9,11,12,14],[2,5,6,7,10,12,14],[2,5,7,9,10,11,13],[3,4,5,9,10,12,14],[3,4,6,9,11,13,14],[3,4,7,10,11,12,13],[3,5,6,8,9,10,12],[3,5,6,8,11,13,14],[4,5,6,7,8,11,12]]; G[650]:=Group([(1,3,14)(2,13,10)(4,6,8)(5,11,7)]); # Design 651: autom. group order 3, simple B[651]:=[[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],[1,2,5,8,9,11,12],[1,2,6,8,11,13,14],[1,3,5,7,11,13,14],[1,3,7,8,9,12,13],[1,4,5,9,10,12,14],[1,4,6,7,8,12,13],[1,4,7,9,10,11,14],[1,5,6,10,11,12,13],[1,6,7,8,9,10,14],[2,3,6,7,9,12,14],[2,3,7,9,10,11,13],[2,4,5,7,12,13,14],[2,4,6,9,10,12,13],[2,4,8,9,11,13,14],[2,5,6,7,8,10,14],[2,5,7,8,10,11,12],[3,4,5,8,10,13,14],[3,4,6,8,11,12,14],[3,4,7,8,10,11,12],[3,5,6,8,9,10,13],[3,5,6,9,11,12,14],[4,5,6,7,9,11,13]]; G[651]:=Group([(1,3,14)(2,12,10)(4,6,9)(5,11,7)]); # Design 652: autom. group order 3, simple B[652]:=[[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],[1,2,5,7,8,12,13],[1,2,6,9,11,12,14],[1,3,5,9,10,11,12],[1,3,7,9,10,13,14],[1,4,5,7,11,13,14],[1,4,6,8,11,13,14],[1,4,7,8,9,10,14],[1,5,6,8,9,12,13],[1,6,7,8,10,11,12],[2,3,7,8,9,11,13],[2,3,7,8,11,12,14],[2,4,5,8,10,12,14],[2,4,6,7,10,12,13],[2,4,8,9,10,11,13],[2,5,6,7,9,11,14],[2,5,6,9,10,13,14],[3,4,5,11,12,13,14],[3,4,6,7,9,12,13],[3,4,6,8,9,12,14],[3,5,6,7,8,10,14],[3,5,6,8,10,11,13],[4,5,7,9,10,11,12]]; G[652]:=Group([(1,6,11)(2,14,4)(3,9,13)(8,10,12)]); # Design 653: autom. group order 3, simple B[653]:=[[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],[1,2,6,7,11,12,14],[1,3,5,10,11,13,14],[1,3,7,8,10,12,13],[1,4,5,8,11,12,14],[1,4,6,9,10,12,14],[1,4,7,8,9,11,13],[1,5,6,7,9,11,13],[1,6,7,8,9,10,14],[2,3,7,8,9,10,11],[2,3,7,9,11,12,14],[2,4,5,7,10,13,14],[2,4,6,8,9,12,13],[2,4,9,10,11,13,14],[2,5,6,7,8,13,14],[2,5,6,8,10,11,12],[3,4,5,7,9,12,14],[3,4,6,7,10,12,13],[3,4,6,8,11,13,14],[3,5,6,8,9,10,14],[3,5,6,9,11,12,13],[4,5,7,8,10,11,12]]; G[653]:=Group([(1,5,10)(2,12,9)(3,11,14)(4,8,6)]); # Design 654: autom. group order 3, simple B[654]:=[[1,2,3,4,5,6,7],[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],[1,2,6,9,12,13,14],[1,3,5,10,11,13,14],[1,3,8,9,10,12,13],[1,4,5,7,9,12,14],[1,4,6,8,10,12,14],[1,4,7,9,10,11,13],[1,5,7,8,11,12,13],[1,6,7,8,9,11,14],[2,3,7,8,9,11,12],[2,3,7,8,10,13,14],[2,4,5,11,12,13,14],[2,4,6,8,9,11,13],[2,4,7,8,10,12,14],[2,5,6,9,10,12,13],[2,5,7,9,10,11,14],[3,4,5,8,9,13,14],[3,4,6,7,11,12,13],[3,4,6,9,10,11,14],[3,5,6,7,9,10,12],[3,5,6,8,11,12,14],[4,5,6,7,8,10,13]]; G[654]:=Group([(1,7,13)(3,14,6)(4,10,9)(5,8,12)]); # Design 655: autom. group order 3, simple, residual B[655]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,6,8,13,14],[1,2,6,9,11,12,14],[1,3,5,9,11,12,13],[1,3,8,10,11,13,14],[1,4,5,7,11,12,14],[1,4,6,8,10,12,14],[1,4,7,8,9,11,13],[1,5,7,8,9,10,14],[1,6,7,9,10,12,13],[2,3,7,8,12,13,14],[2,3,7,9,10,11,14],[2,4,5,9,10,13,14],[2,4,6,9,11,13,14],[2,4,7,8,9,10,12],[2,5,6,8,10,11,12],[2,5,7,8,11,12,13],[3,4,5,10,12,13,14],[3,4,6,7,8,11,14],[3,4,6,8,9,12,13],[3,5,6,7,9,12,14],[3,5,6,8,9,10,11],[4,5,6,7,10,11,13]]; G[655]:=Group([(1,8,14)(3,12,9)(4,7,11)(5,13,6)]); # Design 656: autom. group order 3, simple, residual B[656]:=[[1,2,3,4,5,6,7],[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],[1,2,6,9,12,13,14],[1,3,5,9,10,12,13],[1,3,8,9,11,13,14],[1,4,5,8,10,13,14],[1,4,6,7,11,12,13],[1,4,7,9,10,11,14],[1,5,7,8,11,12,14],[1,6,7,8,9,10,12],[2,3,7,8,9,11,12],[2,3,7,8,10,13,14],[2,4,5,11,12,13,14],[2,4,6,8,9,11,14],[2,4,7,8,10,12,13],[2,5,6,9,10,12,14],[2,5,7,9,10,11,13],[3,4,5,7,9,12,14],[3,4,6,8,10,12,14],[3,4,6,9,10,11,13],[3,5,6,7,10,11,14],[3,5,6,8,11,12,13],[4,5,6,7,8,9,13]]; G[656]:=Group([(1,7,14)(3,13,6)(4,10,9)(5,8,12)]); # Design 657: autom. group order 3, simple, residual B[657]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,12,14],[1,3,5,8,11,12,13],[1,3,7,9,12,13,14],[1,4,5,7,9,12,14],[1,4,6,8,9,13,14],[1,4,7,8,10,11,14],[1,5,8,9,10,11,13],[1,6,7,9,10,11,12],[2,3,7,8,9,10,12],[2,3,7,9,11,13,14],[2,4,5,9,10,11,14],[2,4,6,8,9,12,13],[2,4,7,8,11,12,13],[2,5,6,9,11,12,14],[2,5,7,8,10,13,14],[3,4,5,10,12,13,14],[3,4,6,7,8,11,14],[3,4,6,9,10,11,13],[3,5,6,7,8,9,10],[3,5,6,8,11,12,14],[4,5,6,7,10,12,13]]; G[657]:=Group([(1,4,9)(2,13,7)(3,6,12)(5,8,14)]); # Design 658: autom. group order 3, simple, residual B[658]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,11,12,14],[1,3,5,8,10,12,13],[1,3,7,9,12,13,14],[1,4,5,7,9,12,14],[1,4,6,8,9,13,14],[1,4,7,8,10,11,14],[1,5,8,9,10,11,13],[1,6,7,9,10,11,12],[2,3,7,8,9,10,12],[2,3,7,9,11,13,14],[2,4,5,9,10,11,14],[2,4,6,8,9,12,13],[2,4,7,8,11,12,13],[2,5,6,9,10,12,14],[2,5,7,8,10,13,14],[3,4,5,11,12,13,14],[3,4,6,7,8,10,14],[3,4,6,9,10,11,13],[3,5,6,7,8,9,11],[3,5,6,8,11,12,14],[4,5,6,7,10,12,13]]; G[658]:=Group([(1,4,9)(2,13,7)(3,6,12)(5,8,14)]); # Design 659: autom. group order 3, simple, residual B[659]:=[[1,2,3,4,5,6,7],[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],[1,2,6,9,10,12,14],[1,3,5,9,12,13,14],[1,3,7,9,10,13,14],[1,4,5,11,12,13,14],[1,4,6,8,11,12,13],[1,4,7,8,10,12,14],[1,5,7,8,9,10,11],[1,6,7,8,9,11,13],[2,3,7,8,11,12,14],[2,3,7,9,11,12,13],[2,4,5,8,9,13,14],[2,4,6,7,9,12,13],[2,4,7,8,10,13,14],[2,5,6,10,11,13,14],[2,5,8,9,10,11,12],[3,4,5,7,10,11,13],[3,4,6,8,9,11,14],[3,4,6,9,10,11,14],[3,5,6,7,8,12,14],[3,5,6,8,10,12,13],[4,5,6,7,9,10,12]]; G[659]:=Group([(1,2,12)(3,11,4)(5,7,13)(6,9,14)]); # Design 660: autom. group order 3, simple, residual B[660]:=[[1,2,3,4,5,6,7],[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],[1,2,6,9,10,12,14],[1,3,5,9,12,13,14],[1,3,7,8,9,13,14],[1,4,5,11,12,13,14],[1,4,6,8,11,12,13],[1,4,7,8,10,12,14],[1,5,7,8,9,10,11],[1,6,7,9,10,11,13],[2,3,7,8,11,12,14],[2,3,7,9,11,12,13],[2,4,5,9,10,13,14],[2,4,6,7,9,12,13],[2,4,7,8,10,13,14],[2,5,6,8,11,13,14],[2,5,8,9,10,11,12],[3,4,5,7,10,11,13],[3,4,6,8,9,11,14],[3,4,6,9,10,11,14],[3,5,6,7,10,12,14],[3,5,6,8,10,12,13],[4,5,6,7,8,9,12]]; G[660]:=Group([(1,2,12)(3,11,4)(5,7,13)(6,9,14)]); # Design 661: autom. group order 3, simple, residual B[661]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,13,14],[1,2,6,7,9,11,12],[1,3,5,8,11,12,13],[1,3,7,11,12,13,14],[1,4,5,7,10,11,14],[1,4,6,9,10,12,14],[1,4,8,9,10,12,13],[1,5,7,8,9,10,14],[1,6,7,8,9,11,13],[2,3,7,8,9,10,11],[2,3,7,9,10,13,14],[2,4,5,7,9,12,13],[2,4,6,8,10,11,13],[2,4,7,8,12,13,14],[2,5,6,9,11,12,14],[2,5,8,10,11,12,14],[3,4,5,9,11,13,14],[3,4,6,7,8,12,14],[3,4,6,8,9,11,14],[3,5,6,7,8,10,12],[3,5,6,9,10,12,13],[4,5,6,7,10,11,13]]; G[661]:=Group([(2,10,11)(3,4,12)(5,9,13)(6,14,7)]); # Design 662: autom. group order 3, simple, residual B[662]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,8,13,14],[1,2,6,7,9,11,12],[1,3,5,8,11,12,13],[1,3,7,11,12,13,14],[1,4,5,7,10,11,14],[1,4,6,9,10,12,14],[1,4,8,9,10,12,13],[1,5,7,8,9,10,14],[1,6,7,8,9,11,13],[2,3,7,8,9,12,14],[2,3,8,9,10,11,14],[2,4,5,7,9,12,13],[2,4,6,9,11,13,14],[2,4,7,8,10,11,13],[2,5,6,8,10,11,12],[2,5,7,10,12,13,14],[3,4,5,9,11,13,14],[3,4,6,7,8,10,13],[3,4,6,7,8,12,14],[3,5,6,7,9,10,11],[3,5,6,9,10,12,13],[4,5,6,8,11,12,14]]; G[662]:=Group([(2,10,11)(3,4,12)(5,9,13)(6,14,7)]); # Design 663: autom. group order 3, simple B[663]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,8,9,12],[1,3,5,8,12,13,14],[1,3,7,8,9,11,13],[1,4,5,9,10,11,14],[1,4,6,7,10,12,13],[1,4,7,8,11,12,14],[1,5,7,9,10,12,14],[1,6,8,9,10,11,13],[2,3,7,9,12,13,14],[2,3,8,10,11,12,14],[2,4,5,9,11,12,13],[2,4,6,7,8,11,14],[2,4,7,9,10,13,14],[2,5,6,8,9,10,12],[2,5,7,8,10,11,13],[3,4,5,7,8,10,13],[3,4,6,8,9,10,14],[3,4,6,9,11,12,13],[3,5,6,7,9,11,14],[3,5,6,7,10,11,12],[4,5,6,8,12,13,14]]; G[663]:=Group([(1,7,12)(2,5,11)(4,6,10)(8,9,14)]); # Design 664: autom. group order 3, simple, residual B[664]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,12,13,14],[1,3,7,8,11,13,14],[1,4,5,9,10,11,14],[1,4,6,7,10,12,13],[1,4,7,8,9,11,12],[1,5,7,8,10,12,14],[1,6,8,9,10,11,13],[2,3,7,8,9,12,13],[2,3,8,10,11,12,14],[2,4,5,11,12,13,14],[2,4,6,7,8,11,14],[2,4,7,9,10,13,14],[2,5,6,8,9,10,12],[2,5,7,9,10,11,13],[3,4,5,7,8,10,13],[3,4,6,8,9,10,14],[3,4,6,9,11,12,13],[3,5,6,7,9,11,14],[3,5,6,7,10,11,12],[4,5,6,8,12,13,14]]; G[664]:=Group([(1,7,12)(2,5,11)(4,6,10)(8,9,14)]); # Design 665: autom. group order 3, simple, residual B[665]:=[[1,2,3,4,5,6,7],[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],[1,3,5,10,11,12,14],[1,3,7,9,11,13,14],[1,4,5,9,12,13,14],[1,4,6,7,8,12,13],[1,4,8,9,10,11,13],[1,5,7,8,9,10,12],[1,6,7,8,10,11,14],[2,3,7,8,10,12,13],[2,3,8,9,12,13,14],[2,4,5,7,11,13,14],[2,4,6,9,10,11,12],[2,4,7,8,11,12,14],[2,5,6,8,9,10,14],[2,5,7,9,10,11,13],[3,4,5,7,8,10,14],[3,4,6,7,9,10,13],[3,4,6,8,9,11,14],[3,5,6,7,9,11,12],[3,5,6,8,11,12,13],[4,5,6,10,12,13,14]]; G[665]:=Group([(1,8,14)(2,12,5)(3,13,4)(6,7,10)]); # Design 666: autom. group order 3, simple, residual B[666]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,11,12],[1,3,5,10,12,13,14],[1,3,8,9,11,13,14],[1,4,5,7,8,12,14],[1,4,6,7,9,13,14],[1,4,7,9,10,11,14],[1,5,8,9,10,11,12],[1,6,7,8,10,12,13],[2,3,7,8,9,10,14],[2,3,7,8,9,12,13],[2,4,5,9,12,13,14],[2,4,6,8,10,12,14],[2,4,7,8,10,11,13],[2,5,6,9,10,11,14],[2,5,7,11,12,13,14],[3,4,5,7,10,11,13],[3,4,6,8,11,12,14],[3,4,6,9,11,12,13],[3,5,6,7,8,11,14],[3,5,6,7,9,10,12],[4,5,6,8,9,10,13]]; G[666]:=Group([(2,7,13)(3,4,14)(5,9,10)(8,11,12)]); # Design 667: autom. group order 3, simple B[667]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,11,12],[1,3,5,8,12,13,14],[1,3,9,10,11,13,14],[1,4,5,7,9,10,14],[1,4,6,7,12,13,14],[1,4,7,8,11,12,14],[1,5,8,9,10,11,12],[1,6,7,8,9,10,13],[2,3,7,8,10,12,14],[2,3,7,9,11,12,13],[2,4,5,9,12,13,14],[2,4,6,8,10,11,14],[2,4,7,8,9,10,13],[2,5,6,9,10,12,14],[2,5,7,8,11,13,14],[3,4,5,7,10,11,13],[3,4,6,8,9,11,14],[3,4,6,8,9,12,13],[3,5,6,7,8,10,12],[3,5,6,7,9,11,14],[4,5,6,10,11,12,13]]; G[667]:=Group([(2,7,13)(3,4,14)(5,12,10)(8,11,9)]); # Design 668: autom. group order 3, simple, residual B[668]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,11,12],[1,3,5,8,12,13,14],[1,3,9,10,11,13,14],[1,4,5,7,9,10,14],[1,4,6,7,12,13,14],[1,4,7,8,11,12,14],[1,5,8,9,10,11,12],[1,6,7,8,9,10,13],[2,3,7,8,9,12,13],[2,3,7,8,10,12,14],[2,4,5,9,12,13,14],[2,4,6,8,9,10,14],[2,4,7,8,10,11,13],[2,5,6,10,11,12,14],[2,5,7,9,11,13,14],[3,4,5,7,10,11,13],[3,4,6,8,9,11,14],[3,4,6,9,11,12,13],[3,5,6,7,8,11,14],[3,5,6,7,9,10,12],[4,5,6,8,10,12,13]]; G[668]:=Group([(2,7,13)(3,4,14)(5,12,10)(8,11,9)]); # Design 669: autom. group order 3, simple, residual B[669]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,10,12],[1,3,5,9,11,13,14],[1,3,8,10,12,13,14],[1,4,5,7,11,12,14],[1,4,6,7,12,13,14],[1,4,7,8,9,10,14],[1,5,8,9,10,11,12],[1,6,7,8,9,11,13],[2,3,7,8,11,12,14],[2,3,7,9,11,12,13],[2,4,5,9,12,13,14],[2,4,6,8,9,11,14],[2,4,7,8,10,11,13],[2,5,6,8,10,12,14],[2,5,7,9,10,13,14],[3,4,5,7,8,10,13],[3,4,6,9,10,11,14],[3,4,6,9,10,12,13],[3,5,6,7,8,9,12],[3,5,6,7,10,11,14],[4,5,6,8,11,12,13]]; G[669]:=Group([(2,7,13)(3,4,14)(5,12,8)(9,11,10)]); # Design 670: autom. group order 3, simple, residual B[670]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,10,12],[1,3,5,9,11,13,14],[1,3,8,10,12,13,14],[1,4,5,7,11,12,14],[1,4,6,7,12,13,14],[1,4,7,8,9,10,14],[1,5,8,9,10,11,12],[1,6,7,8,9,11,13],[2,3,7,8,11,12,14],[2,3,7,9,10,12,13],[2,4,5,9,12,13,14],[2,4,6,8,10,11,14],[2,4,7,8,9,11,13],[2,5,6,8,9,12,14],[2,5,7,10,11,13,14],[3,4,5,7,8,10,13],[3,4,6,9,10,11,14],[3,4,6,9,11,12,13],[3,5,6,7,8,11,12],[3,5,6,7,9,10,14],[4,5,6,8,10,12,13]]; G[670]:=Group([(2,7,13)(3,4,14)(5,12,8)(9,11,10)]); # Design 671: autom. group order 3, simple, residual B[671]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,13,14],[1,3,5,9,10,11,13],[1,3,8,9,12,13,14],[1,4,5,7,11,13,14],[1,4,6,7,8,12,13],[1,4,8,9,10,11,14],[1,5,7,8,10,12,14],[1,6,7,9,10,11,12],[2,3,7,8,11,12,14],[2,3,7,9,11,12,13],[2,4,5,10,12,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,11,13],[2,5,6,8,9,11,14],[2,5,7,8,9,10,13],[3,4,5,7,9,12,14],[3,4,6,7,8,9,10],[3,4,6,8,11,13,14],[3,5,6,7,10,11,14],[3,5,6,8,10,12,13],[4,5,6,9,11,12,13]]; G[671]:=Group([(1,10,11)(3,4,12)(5,14,7)(6,13,8)]); # Design 672: autom. group order 3, simple, residual B[672]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,11,12,14],[1,3,7,9,11,13,14],[1,4,5,9,12,13,14],[1,4,6,8,9,11,13],[1,4,7,8,10,12,13],[1,5,7,8,9,10,12],[1,6,7,8,10,11,14],[2,3,7,8,11,12,13],[2,3,8,9,12,13,14],[2,4,5,7,10,13,14],[2,4,6,7,8,12,14],[2,4,7,9,10,11,13],[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],[3,5,6,7,9,10,13],[3,5,6,8,10,12,13],[4,5,6,11,12,13,14]]; G[672]:=Group([(1,8,14)(2,12,5)(3,13,4)(6,7,11)]); # Design 673: autom. group order 3, simple, residual B[673]:=[[1,2,3,4,5,6,7],[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],[1,2,6,9,12,13,14],[1,3,5,7,9,10,14],[1,3,8,9,11,12,13],[1,4,5,10,11,12,14],[1,4,6,7,8,11,14],[1,4,7,9,12,13,14],[1,5,7,8,10,12,13],[1,6,7,8,9,10,11],[2,3,7,8,10,12,14],[2,3,7,9,10,11,13],[2,4,5,7,8,12,13],[2,4,6,7,9,11,12],[2,4,8,10,11,13,14],[2,5,6,9,10,12,14],[2,5,7,8,9,11,14],[3,4,5,9,11,13,14],[3,4,6,7,10,13,14],[3,4,6,8,9,10,12],[3,5,6,7,11,12,13],[3,5,6,8,11,12,14],[4,5,6,8,9,10,13]]; G[673]:=Group([(1,6,12)(2,9,13)(3,10,7)(4,8,5)]); # Design 674: autom. group order 3, simple, residual B[674]:=[[1,2,3,4,5,6,7],[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],[1,2,6,9,11,12,14],[1,3,5,7,9,13,14],[1,3,8,9,10,12,14],[1,4,5,11,12,13,14],[1,4,6,7,8,9,12],[1,4,7,9,10,11,13],[1,5,7,8,10,12,13],[1,6,7,8,10,11,14],[2,3,7,8,12,13,14],[2,3,7,9,11,12,13],[2,4,5,8,10,12,14],[2,4,6,7,10,12,13],[2,4,7,8,9,11,14],[2,5,6,7,9,10,14],[2,5,8,9,10,11,13],[3,4,5,7,10,11,14],[3,4,6,8,9,10,13],[3,4,6,8,11,13,14],[3,5,6,7,8,11,12],[3,5,6,9,10,11,12],[4,5,6,9,12,13,14]]; G[674]:=Group([(1,7,14)(2,12,4)(3,13,5)(6,8,11)]); # Design 675: autom. group order 3, simple, residual B[675]:=[[1,2,3,4,5,6,7],[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],[1,3,8,9,11,13,14],[1,4,5,9,11,12,14],[1,4,7,8,10,12,14],[1,4,7,9,10,13,14],[1,5,6,7,9,10,11],[1,6,7,8,11,12,13],[2,3,7,8,10,11,14],[2,3,7,9,11,12,13],[2,4,5,7,8,13,14],[2,4,6,7,11,12,14],[2,4,6,8,9,12,13],[2,5,7,8,9,10,11],[2,5,9,10,12,13,14],[3,4,5,10,11,12,13],[3,4,6,7,9,10,13],[3,4,6,8,9,11,14],[3,5,6,7,9,12,14],[3,5,6,8,10,12,14],[4,5,6,8,10,11,13]]; G[675]:=Group([(1,3,8)(2,14,12)(4,11,7)(5,9,13)]); # Design 676: autom. group order 3, simple, residual B[676]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,11,12,14],[1,3,7,8,11,12,13],[1,4,5,7,10,13,14],[1,4,7,8,10,11,14],[1,4,8,9,12,13,14],[1,5,6,7,9,12,13],[1,6,7,8,9,10,11],[2,3,7,8,9,10,12],[2,3,7,9,11,13,14],[2,4,5,7,11,12,14],[2,4,6,7,8,9,14],[2,4,6,8,11,12,13],[2,5,7,9,10,11,13],[2,5,8,10,12,13,14],[3,4,5,8,9,10,13],[3,4,6,7,10,12,13],[3,4,6,9,11,13,14],[3,5,6,7,8,12,14],[3,5,6,8,10,11,14],[4,5,6,9,10,11,12]]; G[676]:=Group([(1,3,11)(2,14,8)(4,9,7)(5,13,10)]); # Design 677: autom. group order 3, simple, residual B[677]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,10,11,13],[1,3,5,7,9,12,13],[1,3,6,9,10,12,14],[1,4,5,8,10,12,14],[1,4,6,7,11,12,14],[1,4,7,8,9,13,14],[1,5,7,8,10,11,14],[1,6,8,9,11,12,13],[2,3,7,9,11,12,14],[2,3,8,10,12,13,14],[2,4,5,11,12,13,14],[2,4,6,7,8,12,13],[2,4,6,7,9,10,14],[2,5,6,8,9,11,14],[2,5,7,8,9,10,12],[3,4,5,9,11,13,14],[3,4,6,8,9,10,11],[3,4,7,8,10,11,13],[3,5,6,7,8,11,12],[3,5,6,7,10,13,14],[4,5,6,9,10,12,13]]; G[677]:=Group([(1,3,11)(2,4,10)(5,8,13)(6,9,7)]); # Design 678: autom. group order 3, simple B[678]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,11,13,14],[1,3,5,8,11,12,14],[1,3,6,7,9,11,12],[1,4,5,7,10,13,14],[1,4,6,7,10,12,14],[1,4,8,9,10,12,13],[1,5,7,8,11,12,13],[1,6,8,9,10,11,14],[2,3,7,8,10,12,13],[2,3,7,9,10,12,14],[2,4,5,11,12,13,14],[2,4,6,7,8,11,14],[2,4,6,9,11,12,13],[2,5,6,8,10,12,14],[2,5,7,8,9,10,11],[3,4,5,9,10,11,14],[3,4,6,8,10,11,13],[3,4,7,8,9,13,14],[3,5,6,7,10,11,13],[3,5,6,9,12,13,14],[4,5,6,7,8,9,12]]; G[678]:=Group([(1,10,11)(3,12,4)(5,7,13)(6,8,14)]); # Design 679: autom. group order 3, simple B[679]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,10,11,13],[1,3,5,8,10,12,14],[1,3,6,7,11,12,14],[1,4,5,7,9,12,13],[1,4,6,7,9,10,14],[1,4,8,11,12,13,14],[1,5,7,8,9,11,14],[1,6,8,9,10,12,13],[2,3,7,8,9,12,13],[2,3,7,9,10,12,14],[2,4,5,10,12,13,14],[2,4,6,7,8,13,14],[2,4,6,9,11,12,14],[2,5,6,8,9,11,12],[2,5,7,8,10,11,14],[3,4,5,9,11,13,14],[3,4,6,8,9,10,11],[3,4,7,8,10,11,13],[3,5,6,7,11,12,13],[3,5,6,9,10,13,14],[4,5,6,7,8,10,12]]; G[679]:=Group([(1,4,10)(2,3,11)(5,8,13)(6,9,7)]); # Design 680: autom. group order 3, simple, residual B[680]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,11,12,14],[1,3,6,7,12,13,14],[1,4,5,7,10,11,14],[1,4,6,8,9,12,14],[1,4,8,9,10,11,13],[1,5,7,8,10,12,13],[1,6,7,9,10,11,12],[2,3,7,9,10,11,13],[2,3,8,9,10,12,14],[2,4,5,10,12,13,14],[2,4,6,7,8,10,12],[2,4,6,7,9,11,14],[2,5,6,9,11,12,13],[2,5,7,8,11,12,14],[3,4,5,7,9,12,13],[3,4,6,8,11,12,13],[3,4,7,8,11,13,14],[3,5,6,7,8,9,10],[3,5,6,8,10,11,14],[4,5,6,9,10,13,14]]; G[680]:=Group([(1,10,11)(2,14,8)(3,5,13)(7,9,12)]); # Design 681: autom. group order 3, simple, residual B[681]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,12,13,14],[1,3,6,7,8,12,14],[1,4,5,10,11,12,14],[1,4,6,7,10,11,13],[1,4,7,8,9,10,14],[1,5,7,9,10,12,13],[1,6,8,9,11,12,13],[2,3,7,8,10,12,13],[2,3,9,10,11,13,14],[2,4,5,8,12,13,14],[2,4,6,7,9,12,13],[2,4,6,9,11,12,14],[2,5,6,7,9,10,14],[2,5,7,8,10,11,12],[3,4,5,7,9,11,13],[3,4,6,8,9,10,12],[3,4,7,8,11,13,14],[3,5,6,7,11,12,14],[3,5,6,8,9,10,11],[4,5,6,8,10,13,14]]; G[681]:=Group([(1,4,13)(2,14,9)(3,8,12)(6,10,7)]); # Design 682: autom. group order 3, simple, residual B[682]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,11,12,13],[1,3,5,9,11,13,14],[1,3,6,8,12,13,14],[1,4,5,7,10,13,14],[1,4,6,7,9,12,14],[1,4,7,8,10,11,14],[1,5,7,8,9,10,12],[1,6,8,9,10,11,13],[2,3,7,8,9,10,13],[2,3,7,10,11,12,14],[2,4,5,9,11,13,14],[2,4,6,7,8,11,13],[2,4,6,8,9,10,14],[2,5,6,9,10,12,14],[2,5,7,8,12,13,14],[3,4,5,8,10,12,13],[3,4,6,7,9,12,13],[3,4,8,9,11,12,14],[3,5,6,7,8,11,14],[3,5,6,7,9,10,11],[4,5,6,10,11,12,13]]; G[682]:=Group([(2,7,13)(3,4,14)(5,10,6)(9,11,12)]); # Design 683: autom. group order 3, simple, residual B[683]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,9,11,13],[1,3,5,8,12,13,14],[1,3,6,9,11,13,14],[1,4,5,7,10,13,14],[1,4,6,7,9,12,14],[1,4,7,8,10,11,14],[1,5,7,9,10,11,12],[1,6,8,9,10,12,13],[2,3,7,8,9,10,14],[2,3,7,10,11,12,13],[2,4,5,9,11,13,14],[2,4,6,7,9,12,13],[2,4,6,8,10,12,14],[2,5,6,9,10,11,14],[2,5,7,8,12,13,14],[3,4,5,9,10,12,13],[3,4,6,7,8,11,13],[3,4,8,9,11,12,14],[3,5,6,7,8,9,10],[3,5,6,7,11,12,14],[4,5,6,8,10,11,13]]; G[683]:=Group([(2,7,13)(3,4,14)(5,10,6)(8,11,9)]); # Design 684: autom. group order 3, simple B[684]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,11,12,14],[1,3,6,9,12,13,14],[1,4,5,7,10,11,14],[1,4,6,7,8,9,14],[1,4,8,9,10,11,13],[1,5,7,8,10,12,13],[1,6,7,9,10,11,12],[2,3,7,8,9,10,14],[2,3,7,9,10,11,13],[2,4,5,10,12,13,14],[2,4,6,7,11,12,14],[2,4,6,8,9,10,12],[2,5,6,7,9,11,13],[2,5,8,9,11,12,14],[3,4,5,7,9,12,13],[3,4,6,8,11,12,13],[3,4,7,8,11,13,14],[3,5,6,7,8,10,12],[3,5,6,8,10,11,14],[4,5,6,9,10,13,14]]; G[684]:=Group([(1,10,11)(2,14,8)(3,5,13)(7,9,12)]); # Design 685: autom. group order 3, simple, residual B[685]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,12,13,14],[1,3,5,9,12,13,14],[1,3,6,10,11,12,14],[1,4,5,7,10,13,14],[1,4,6,7,9,12,13],[1,4,8,9,10,11,14],[1,5,7,8,10,11,13],[1,6,7,8,9,11,12],[2,3,7,9,10,11,13],[2,3,7,9,11,13,14],[2,4,5,8,11,12,13],[2,4,6,7,8,11,14],[2,4,6,10,12,13,14],[2,5,6,7,9,10,12],[2,5,8,9,10,12,14],[3,4,5,7,11,12,14],[3,4,6,8,9,13,14],[3,4,7,8,9,10,12],[3,5,6,7,8,10,14],[3,5,6,8,11,12,13],[4,5,6,9,10,11,13]]; G[685]:=Group([(1,5,12)(2,11,7)(3,13,9)(4,8,6)]); # Design 686: autom. group order 3, simple, residual B[686]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,11,13,14],[1,3,5,9,11,12,14],[1,3,6,10,11,12,13],[1,4,5,7,12,13,14],[1,4,6,7,9,11,14],[1,4,8,9,10,12,13],[1,5,7,8,10,12,14],[1,6,7,8,9,10,11],[2,3,7,9,10,12,14],[2,3,7,9,10,13,14],[2,4,5,8,10,11,14],[2,4,6,7,8,10,12],[2,4,6,11,12,13,14],[2,5,6,7,9,11,12],[2,5,8,9,11,12,13],[3,4,5,7,10,11,13],[3,4,6,8,9,12,14],[3,4,7,8,9,11,13],[3,5,6,7,8,12,13],[3,5,6,8,10,11,14],[4,5,6,9,10,13,14]]; G[686]:=Group([(1,5,11)(2,10,7)(3,14,9)(4,8,6)]); # Design 687: autom. group order 3, simple B[687]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,10,14],[1,2,7,9,11,13,14],[1,3,5,9,12,13,14],[1,3,6,8,12,13,14],[1,4,5,7,9,11,12],[1,4,6,9,11,13,14],[1,4,7,8,10,12,13],[1,5,7,8,10,11,14],[1,6,7,8,9,10,12],[2,3,7,8,11,12,13],[2,3,7,9,10,12,14],[2,4,5,8,12,13,14],[2,4,6,7,8,9,13],[2,4,6,9,10,12,14],[2,5,6,7,11,12,14],[2,5,8,9,10,11,13],[3,4,5,7,10,13,14],[3,4,6,7,8,11,14],[3,4,8,9,10,11,14],[3,5,6,7,9,10,13],[3,5,6,8,9,11,12],[4,5,6,10,11,12,13]]; G[687]:=Group([(2,8,13)(3,10,14)(4,7,9)(5,12,11)]); # Design 688: autom. group order 3, simple, residual B[688]:=[[1,2,3,4,5,6,7],[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],[1,2,9,11,12,13,14],[1,3,5,7,11,12,13],[1,3,6,7,11,12,14],[1,4,5,8,11,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,13,14],[1,5,7,8,9,10,12],[1,6,7,8,9,10,11],[2,3,7,8,9,11,14],[2,3,8,10,12,13,14],[2,4,5,7,10,12,14],[2,4,6,7,8,11,14],[2,4,6,7,9,12,13],[2,5,6,9,10,11,12],[2,5,7,8,10,11,13],[3,4,5,9,10,11,14],[3,4,6,9,10,11,13],[3,4,7,8,9,12,13],[3,5,6,7,10,13,14],[3,5,6,8,9,12,14],[4,5,6,8,11,12,13]]; G[688]:=Group([(1,11,13)(2,7,4)(3,8,9)(5,14,12)]); # Design 689: autom. group order 3, simple B[689]:=[[1,2,3,4,5,6,7],[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],[1,2,8,9,11,12,14],[1,3,5,7,9,13,14],[1,3,6,9,10,12,14],[1,4,5,11,12,13,14],[1,4,6,7,9,11,12],[1,4,7,8,9,10,13],[1,5,7,8,10,12,13],[1,6,7,8,10,11,14],[2,3,7,8,12,13,14],[2,3,7,9,11,12,13],[2,4,5,8,10,12,14],[2,4,6,7,8,9,14],[2,4,6,7,10,12,13],[2,5,6,9,10,11,13],[2,5,7,9,10,11,14],[3,4,5,7,10,11,14],[3,4,6,8,11,13,14],[3,4,8,9,10,11,13],[3,5,6,7,8,11,12],[3,5,6,8,9,10,12],[4,5,6,9,12,13,14]]; G[689]:=Group([(1,7,14)(2,12,4)(3,13,5)(6,8,11)]); # Design 690: autom. group order 3, simple B[690]:=[[1,2,3,4,5,6,7],[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],[1,2,8,9,12,13,14],[1,3,5,9,11,12,14],[1,3,6,7,9,13,14],[1,4,5,7,10,11,14],[1,4,6,7,8,12,14],[1,4,8,9,10,11,13],[1,5,7,8,10,12,13],[1,6,7,9,10,11,12],[2,3,7,8,10,12,14],[2,3,7,9,10,11,13],[2,4,5,10,12,13,14],[2,4,6,7,8,9,10],[2,4,6,9,11,12,14],[2,5,6,7,11,12,13],[2,5,7,8,9,11,14],[3,4,5,7,9,12,13],[3,4,6,8,11,12,13],[3,4,7,8,11,13,14],[3,5,6,8,9,10,12],[3,5,6,8,10,11,14],[4,5,6,9,10,13,14]]; G[690]:=Group([(1,10,11)(2,14,8)(3,5,13)(7,9,12)]); # Design 691: autom. group order 3, simple, residual B[691]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,9,12,14],[1,3,5,8,10,12,14],[1,3,6,9,11,12,14],[1,4,5,9,10,13,14],[1,4,6,9,11,12,13],[1,4,7,8,11,12,13],[1,5,7,8,9,10,11],[1,6,7,8,10,13,14],[2,3,7,8,9,11,13],[2,3,9,10,12,13,14],[2,4,5,7,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,10,11,14],[2,5,6,8,9,12,13],[2,5,6,8,10,11,12],[3,4,5,8,11,13,14],[3,4,6,7,8,12,14],[3,4,6,8,9,10,13],[3,5,6,7,9,11,14],[3,5,7,10,11,12,13],[4,5,6,7,9,10,12]]; G[691]:=Group([(1,2,11)(3,10,12)(5,14,13)(7,8,9)]); # Design 692: autom. group order 3, simple, residual B[692]:=[[1,2,3,4,5,6,7],[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],[1,2,9,10,11,12,13],[1,3,5,9,12,13,14],[1,3,6,8,9,12,14],[1,4,5,10,12,13,14],[1,4,6,7,11,12,14],[1,4,7,8,9,11,13],[1,5,7,8,9,10,11],[1,6,7,8,10,13,14],[2,3,7,8,10,12,14],[2,3,7,9,11,13,14],[2,4,5,8,10,13,14],[2,4,6,8,11,12,13],[2,4,7,8,9,12,14],[2,5,6,7,9,12,13],[2,5,6,9,10,11,14],[3,4,5,7,11,13,14],[3,4,6,8,9,10,13],[3,4,6,9,10,11,14],[3,5,6,8,11,12,13],[3,5,7,8,10,11,12],[4,5,6,7,9,10,12]]; G[692]:=Group([(1,6,14)(2,9,13)(3,10,5)(7,11,12)]); # Design 693: autom. group order 3, simple, residual B[693]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,7,13,14],[1,2,7,11,12,13,14],[1,3,5,9,11,13,14],[1,3,6,9,10,12,14],[1,4,5,8,11,12,13],[1,4,6,8,11,12,14],[1,4,7,9,10,13,14],[1,5,7,8,9,10,12],[1,6,7,8,9,10,11],[2,3,7,8,9,11,14],[2,3,8,10,12,13,14],[2,4,5,9,10,11,14],[2,4,6,9,10,11,13],[2,4,7,8,9,12,13],[2,5,6,7,10,11,12],[2,5,6,8,9,12,14],[3,4,5,7,10,12,14],[3,4,6,7,8,11,14],[3,4,6,7,9,12,13],[3,5,6,9,11,12,13],[3,5,7,8,10,11,13],[4,5,6,8,10,13,14]]; G[693]:=Group([(1,11,13)(2,8,9)(3,7,4)(5,14,12)]); # Design 694: autom. group order 3, simple B[694]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,11,13,14],[1,3,5,7,11,12,14],[1,3,6,9,11,12,14],[1,4,5,7,10,13,14],[1,4,6,8,10,12,14],[1,4,7,8,9,10,12],[1,5,8,9,11,12,13],[1,6,7,8,10,11,13],[2,3,7,8,9,10,11],[2,3,8,10,12,13,14],[2,4,5,8,11,12,13],[2,4,6,9,10,11,14],[2,4,7,9,12,13,14],[2,5,6,7,8,12,14],[2,5,6,7,10,11,12],[3,4,5,10,11,13,14],[3,4,6,7,8,11,13],[3,4,6,7,9,12,13],[3,5,6,9,10,12,13],[3,5,7,8,9,10,14],[4,5,6,8,9,11,14]]; G[694]:=Group([(2,10,11)(3,4,12)(5,8,14)(6,7,9)]); # Design 695: autom. group order 3, simple, residual B[695]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,10,11,14],[1,3,6,9,12,13,14],[1,4,5,7,9,12,14],[1,4,6,8,11,12,14],[1,4,8,9,10,13,14],[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],[2,4,6,7,8,12,13],[2,4,7,8,10,11,14],[2,5,6,7,8,9,14],[2,5,6,9,10,11,12],[3,4,5,8,9,11,13],[3,4,6,7,9,10,12],[3,4,6,7,11,13,14],[3,5,6,8,10,12,14],[3,5,7,8,11,12,13],[4,5,6,9,10,11,13]]; G[695]:=Group([(1,6,12)(2,10,7)(3,9,13)(4,11,8)]); # Design 696: autom. group order 3, simple, residual B[696]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,9,11,14],[1,3,6,9,12,13,14],[1,4,5,8,11,12,14],[1,4,6,9,10,13,14],[1,4,7,9,11,12,13],[1,5,7,8,10,12,13],[1,6,7,8,9,10,11],[2,3,7,8,9,11,13],[2,3,9,10,11,12,14],[2,4,5,9,10,12,13],[2,4,6,7,10,11,14],[2,4,7,8,9,13,14],[2,5,6,7,11,12,13],[2,5,6,8,9,12,14],[3,4,5,7,10,13,14],[3,4,6,7,8,12,14],[3,4,6,8,11,12,13],[3,5,6,7,9,10,12],[3,5,8,10,11,13,14],[4,5,6,8,9,10,11]]; G[696]:=Group([(2,6,10)(3,13,8)(4,14,7)(5,9,12)]); # Design 697: autom. group order 3, simple, residual B[697]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,9,12,14],[1,3,5,7,10,12,14],[1,3,6,9,11,12,14],[1,4,5,9,10,13,14],[1,4,6,8,11,12,13],[1,4,7,9,11,12,13],[1,5,7,8,9,10,11],[1,6,7,8,10,13,14],[2,3,7,8,9,11,13],[2,3,9,10,12,13,14],[2,4,5,8,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,11,14],[2,5,6,7,9,12,13],[2,5,6,7,10,11,12],[3,4,5,7,11,13,14],[3,4,6,7,8,12,14],[3,4,6,7,9,10,13],[3,5,6,8,9,11,14],[3,5,8,10,11,12,13],[4,5,6,8,9,10,12]]; G[697]:=Group([(1,2,11)(3,10,12)(5,14,13)(7,9,8)]); # Design 698: autom. group order 3, simple, residual B[698]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,9,12,14],[1,3,5,9,10,12,14],[1,3,6,7,11,12,14],[1,4,5,7,10,13,14],[1,4,6,9,11,12,13],[1,4,7,8,11,12,13],[1,5,7,8,9,10,11],[1,6,8,9,10,13,14],[2,3,7,8,9,11,13],[2,3,7,10,12,13,14],[2,4,5,8,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,10,11,14],[2,5,6,7,9,12,13],[2,5,6,9,10,11,12],[3,4,5,9,11,13,14],[3,4,6,7,9,10,13],[3,4,6,8,9,12,14],[3,5,6,7,8,11,14],[3,5,8,10,11,12,13],[4,5,6,7,8,10,12]]; G[698]:=Group([(1,2,11)(3,10,12)(5,14,13)(7,8,9)]); # Design 699: autom. group order 3, simple, residual B[699]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,9,11,12],[1,3,5,9,12,13,14],[1,3,6,7,8,12,14],[1,4,5,7,10,13,14],[1,4,6,9,11,12,13],[1,4,8,9,10,12,14],[1,5,7,8,10,11,14],[1,6,7,9,10,11,13],[2,3,7,8,10,12,13],[2,3,7,9,11,13,14],[2,4,5,11,12,13,14],[2,4,6,8,10,11,14],[2,4,7,8,9,13,14],[2,5,6,7,9,10,12],[2,5,6,9,10,12,14],[3,4,5,7,9,10,11],[3,4,6,7,11,12,14],[3,4,6,8,9,10,13],[3,5,6,8,9,11,14],[3,5,8,10,11,12,13],[4,5,6,7,8,12,13]]; G[699]:=Group([(1,3,13)(2,10,6)(4,8,11)(5,12,9)]); # Design 700: autom. group order 3, simple B[700]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,10,11,14],[1,3,5,8,9,13,14],[1,3,6,7,8,9,12],[1,4,5,11,12,13,14],[1,4,6,7,9,11,14],[1,4,7,8,10,12,14],[1,5,7,9,10,12,13],[1,6,8,9,10,11,13],[2,3,7,8,11,12,13],[2,3,7,9,11,13,14],[2,4,5,8,9,10,11],[2,4,6,7,9,10,13],[2,4,8,9,12,13,14],[2,5,6,7,8,12,14],[2,5,6,9,10,12,14],[3,4,5,7,10,13,14],[3,4,6,8,10,12,13],[3,4,6,9,11,12,14],[3,5,6,8,10,11,14],[3,5,7,9,10,11,12],[4,5,6,7,8,11,13]]; G[700]:=Group([(1,2,9)(3,4,8)(6,10,13)(7,11,14)]); # Design 701: autom. group order 3, simple, residual B[701]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,9,13,14],[1,3,5,9,10,11,13],[1,3,6,8,12,13,14],[1,4,5,7,11,13,14],[1,4,6,7,9,12,13],[1,4,8,9,10,11,14],[1,5,7,8,10,12,14],[1,6,7,9,10,11,12],[2,3,7,8,11,12,14],[2,3,7,9,11,12,13],[2,4,5,10,12,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,11,13],[2,5,6,7,8,9,10],[2,5,6,9,11,13,14],[3,4,5,7,9,12,14],[3,4,6,7,8,10,13],[3,4,6,8,9,11,14],[3,5,6,7,10,11,14],[3,5,8,9,10,12,13],[4,5,6,8,11,12,13]]; G[701]:=Group([(1,10,11)(3,4,12)(5,14,7)(6,13,8)]); # Design 702: autom. group order 3, simple B[702]:=[[1,2,3,4,5,6,7],[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],[1,2,9,10,12,13,14],[1,3,5,7,12,13,14],[1,3,6,8,9,11,14],[1,4,5,7,9,10,12],[1,4,6,9,12,13,14],[1,4,7,8,9,11,13],[1,5,7,8,10,11,14],[1,6,7,8,10,11,12],[2,3,7,8,9,12,14],[2,3,7,9,10,11,13],[2,4,5,8,11,12,14],[2,4,6,7,9,11,14],[2,4,7,8,10,13,14],[2,5,6,7,8,12,13],[2,5,6,9,10,11,12],[3,4,5,10,11,13,14],[3,4,6,7,11,12,13],[3,4,6,8,10,12,14],[3,5,6,7,9,10,14],[3,5,8,9,11,12,13],[4,5,6,8,9,10,13]]; G[702]:=Group([(2,8,14)(3,11,13)(4,7,12)(5,10,9)]); # Design 703: autom. group order 3, simple, residual B[703]:=[[1,2,3,4,5,6,7],[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],[1,2,8,9,10,11,14],[1,3,5,7,10,13,14],[1,3,6,9,12,13,14],[1,4,5,7,9,11,13],[1,4,6,8,12,13,14],[1,4,7,10,11,12,14],[1,5,7,8,9,10,12],[1,6,7,8,9,11,13],[2,3,7,8,9,12,14],[2,3,7,9,11,12,13],[2,4,5,9,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,13,14],[2,5,6,7,8,11,14],[2,5,6,7,10,12,13],[3,4,5,8,11,13,14],[3,4,6,7,8,11,12],[3,4,6,7,9,10,14],[3,5,6,9,10,11,14],[3,5,8,10,11,12,13],[4,5,6,8,9,10,12]]; G[703]:=Group([(1,5,9)(2,10,13)(3,12,11)(4,8,7)]); # Design 704: autom. group order 3, simple, residual B[704]:=[[1,2,3,4,5,6,7],[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],[1,2,8,9,11,12,14],[1,3,5,9,12,13,14],[1,3,6,7,8,12,14],[1,4,5,7,10,13,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,12],[1,5,7,8,10,11,14],[1,6,7,9,10,11,13],[2,3,7,8,10,12,13],[2,3,7,9,11,13,14],[2,4,5,7,11,12,13],[2,4,6,8,10,11,14],[2,4,7,8,9,13,14],[2,5,6,7,9,10,12],[2,5,6,9,10,12,14],[3,4,5,9,10,11,14],[3,4,6,7,11,12,14],[3,4,6,8,9,10,13],[3,5,6,7,8,9,11],[3,5,8,10,11,12,13],[4,5,6,8,12,13,14]]; G[704]:=Group([(1,3,13)(2,10,6)(4,8,11)(5,12,9)]); # Design 705: autom. group order 3, simple, residual B[705]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,10,12,14],[1,3,5,7,9,11,14],[1,3,6,9,11,12,13],[1,4,5,7,10,12,13],[1,4,7,8,9,13,14],[1,4,8,10,11,13,14],[1,5,6,8,10,12,14],[1,6,7,8,9,11,12],[2,3,7,8,11,12,14],[2,3,8,9,10,12,13],[2,4,5,8,11,12,14],[2,4,6,7,8,9,10],[2,4,6,9,11,13,14],[2,5,6,7,12,13,14],[2,5,7,9,10,11,13],[3,4,5,9,12,13,14],[3,4,6,7,8,12,13],[3,4,6,7,10,11,14],[3,5,6,8,9,10,14],[3,5,7,8,10,11,13],[4,5,6,9,10,11,12]]; G[705]:=Group([(1,5,11)(2,13,6)(3,7,9)(4,10,12)]); # Design 706: autom. group order 3, simple, residual B[706]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,9,11,13],[1,3,5,7,11,12,13],[1,3,6,9,11,12,14],[1,4,5,8,10,12,14],[1,4,7,8,9,12,14],[1,4,7,10,11,13,14],[1,5,6,7,9,10,11],[1,6,8,9,10,12,13],[2,3,7,10,12,13,14],[2,3,8,9,10,11,14],[2,4,5,9,10,12,13],[2,4,6,7,8,10,11],[2,4,6,9,11,12,13],[2,5,6,7,9,12,14],[2,5,7,8,11,12,14],[3,4,5,9,11,13,14],[3,4,6,7,8,12,13],[3,4,6,7,9,10,14],[3,5,6,8,10,11,12],[3,5,7,8,9,10,13],[4,5,6,8,11,13,14]]; G[706]:=Group([(1,12,13)(2,14,4)(3,7,11)(6,8,9)]); # Design 707: autom. group order 3, simple B[707]:=[[1,2,3,4,5,6,7],[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],[1,2,9,10,11,12,14],[1,3,5,7,11,12,14],[1,3,6,7,9,13,14],[1,4,5,9,12,13,14],[1,4,7,8,9,11,13],[1,4,7,8,10,12,13],[1,5,6,8,9,10,12],[1,6,7,8,10,11,14],[2,3,7,8,11,12,13],[2,3,8,9,12,13,14],[2,4,5,7,10,13,14],[2,4,6,7,8,12,14],[2,4,6,9,10,11,13],[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],[3,5,7,9,10,11,13],[4,5,6,11,12,13,14]]; G[707]:=Group([(1,8,14)(2,12,5)(3,13,4)(6,7,11)]); # Design 708: autom. group order 3, simple, residual B[708]:=[[1,2,3,4,5,6,7],[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],[1,2,9,10,12,13,14],[1,3,5,8,12,13,14],[1,3,6,7,9,11,14],[1,4,5,7,9,12,14],[1,4,7,8,10,11,14],[1,4,8,9,10,11,13],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,7,8,9,10,12],[2,3,7,8,11,12,14],[2,4,5,7,10,13,14],[2,4,6,7,8,12,13],[2,4,6,8,9,11,14],[2,5,6,9,10,11,12],[2,5,7,9,11,13,14],[3,4,5,9,11,12,13],[3,4,6,7,9,10,13],[3,4,6,11,12,13,14],[3,5,6,8,9,10,14],[3,5,7,8,10,11,13],[4,5,6,8,10,12,14]]; G[708]:=Group([(1,3,11)(2,12,10)(5,13,8)(6,14,7)]); # Design 709: autom. group order 3, simple, residual B[709]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,9,11,14],[1,3,5,8,9,10,14],[1,3,8,10,11,12,13],[1,4,5,7,12,13,14],[1,4,6,8,9,12,13],[1,4,6,9,10,12,14],[1,5,7,8,11,12,13],[1,6,7,9,10,11,14],[2,3,6,8,11,12,14],[2,3,7,9,12,13,14],[2,4,5,10,11,12,14],[2,4,6,8,9,11,13],[2,4,7,8,10,13,14],[2,5,6,9,10,12,13],[2,5,7,8,9,10,12],[3,4,5,9,11,13,14],[3,4,6,7,8,12,14],[3,4,7,9,10,11,13],[3,5,6,7,9,11,12],[3,5,6,8,10,13,14],[4,5,6,7,8,10,11]]; G[709]:=Group([(2,13,14)(3,12,9)(4,8,10)(5,11,6)]); # Design 710: autom. group order 3, simple, residual B[710]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,9,13,14],[1,3,5,10,12,13,14],[1,3,7,9,10,12,13],[1,4,5,8,11,12,13],[1,4,6,7,9,12,14],[1,4,6,9,11,12,14],[1,5,8,9,10,11,14],[1,6,7,8,10,11,13],[2,3,6,9,10,11,14],[2,3,7,9,11,12,13],[2,4,5,9,10,13,14],[2,4,6,8,10,12,13],[2,4,7,8,10,12,14],[2,5,6,11,12,13,14],[2,5,7,8,9,11,12],[3,4,5,7,11,13,14],[3,4,6,8,9,11,13],[3,4,7,8,10,11,14],[3,5,6,7,8,12,14],[3,5,6,8,9,10,12],[4,5,6,7,9,10,13]]; G[710]:=Group([(1,4,12)(2,10,3)(5,8,13)(6,14,9)]); # Design 711: autom. group order 3, simple, residual B[711]:=[[1,2,3,4,5,6,7],[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],[1,4,5,8,10,12,13],[1,4,6,7,9,12,14],[1,4,6,9,10,12,14],[1,5,7,8,9,11,14],[1,6,7,8,10,11,13],[2,3,6,9,10,11,14],[2,3,7,9,10,12,13],[2,4,5,9,11,13,14],[2,4,6,8,11,12,13],[2,4,7,8,11,12,14],[2,5,6,7,12,13,14],[2,5,7,8,9,10,12],[3,4,5,7,10,13,14],[3,4,6,7,8,9,13],[3,4,7,8,10,11,14],[3,5,6,8,9,11,12],[3,5,6,8,10,12,14],[4,5,6,9,10,11,13]]; G[711]:=Group([(1,4,12)(2,11,3)(5,8,13)(6,14,9)]); # Design 712: autom. group order 3, simple, residual B[712]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,10,11,13],[1,3,5,7,9,12,13],[1,3,7,9,10,12,14],[1,4,5,8,10,12,14],[1,4,6,7,8,13,14],[1,4,6,9,11,12,14],[1,5,7,8,10,11,14],[1,6,8,9,11,12,13],[2,3,6,7,11,12,14],[2,3,8,10,12,13,14],[2,4,5,11,12,13,14],[2,4,6,7,9,10,14],[2,4,7,8,9,12,13],[2,5,6,8,9,10,12],[2,5,7,8,9,11,14],[3,4,5,9,11,13,14],[3,4,6,8,9,10,11],[3,4,7,8,10,11,13],[3,5,6,7,8,11,12],[3,5,6,9,10,13,14],[4,5,6,7,10,12,13]]; G[712]:=Group([(1,3,11)(2,4,10)(5,8,13)(6,9,7)]); # Design 713: autom. group order 3, simple, residual B[713]:=[[1,2,3,4,5,6,7],[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],[1,4,6,7,9,11,13],[1,4,6,8,9,10,14],[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],[2,4,5,8,10,13,14],[2,4,6,8,11,12,14],[2,4,7,9,11,12,14],[2,5,6,7,9,10,14],[2,5,7,9,10,12,13],[3,4,5,7,11,13,14],[3,4,6,9,10,12,13],[3,4,7,8,10,12,13],[3,5,6,8,9,11,13],[3,5,6,10,11,12,14],[4,5,6,7,8,10,11]]; G[713]:=Group([(1,10,11)(2,3,12)(5,13,14)(7,9,8)]); # Design 714: autom. group order 3, simple B[714]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,10,11,13],[1,3,5,7,12,13,14],[1,3,7,8,10,11,14],[1,4,5,8,10,12,14],[1,4,6,7,9,11,12],[1,4,6,8,9,12,13],[1,5,9,11,12,13,14],[1,6,7,8,9,10,14],[2,3,6,9,11,12,14],[2,3,8,9,10,12,13],[2,4,5,7,9,13,14],[2,4,6,7,10,12,14],[2,4,7,8,11,13,14],[2,5,6,8,11,12,14],[2,5,7,8,9,10,12],[3,4,5,9,10,11,14],[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],[4,5,6,8,10,11,13]]; G[714]:=Group([(1,2,14)(3,6,8)(4,12,10)(5,11,7)]); # Design 715: autom. group order 3, simple, residual B[715]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,10,12,13],[1,3,7,9,11,13,14],[1,4,5,9,12,13,14],[1,4,6,8,9,13,14],[1,4,6,10,11,12,14],[1,5,7,8,9,10,11],[1,6,7,8,9,10,12],[2,3,6,7,9,11,14],[2,3,8,9,10,12,13],[2,4,5,7,9,10,14],[2,4,6,7,8,12,13],[2,4,7,9,11,12,13],[2,5,6,9,10,12,14],[2,5,8,10,11,13,14],[3,4,5,8,11,12,14],[3,4,6,8,9,10,11],[3,4,7,8,10,13,14],[3,5,6,7,8,12,14],[3,5,6,9,11,12,13],[4,5,6,7,10,11,13]]; G[715]:=Group([(1,2,14)(3,10,13)(4,5,9)(7,12,8)]); # Design 716: autom. group order 3, simple B[716]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,9,12,13],[1,3,5,7,8,10,12],[1,3,8,11,12,13,14],[1,4,5,7,9,11,14],[1,4,6,8,9,11,13],[1,4,6,9,10,12,14],[1,5,7,8,10,13,14],[1,6,7,9,10,11,12],[2,3,6,7,9,12,13],[2,3,8,9,10,11,14],[2,4,5,10,11,12,13],[2,4,6,7,8,10,14],[2,4,7,8,11,12,14],[2,5,6,8,9,12,14],[2,5,7,9,10,11,13],[3,4,5,9,12,13,14],[3,4,6,7,8,11,13],[3,4,7,9,10,13,14],[3,5,6,7,11,12,14],[3,5,6,8,9,10,11],[4,5,6,8,10,12,13]]; G[716]:=Group([(1,8,9)(2,4,13)(3,6,7)(5,11,12)]); # Design 717: autom. group order 3, simple, residual B[717]:=[[1,2,3,4,5,6,7],[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],[1,3,8,9,10,11,14],[1,4,5,9,12,13,14],[1,4,6,7,9,10,14],[1,4,6,8,9,11,13],[1,5,7,9,10,11,12],[1,6,7,8,12,13,14],[2,3,6,7,8,9,12],[2,3,7,9,11,13,14],[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],[2,5,8,9,10,12,13],[3,4,5,8,11,13,14],[3,4,6,8,10,12,13],[3,4,7,9,10,12,13],[3,5,6,7,9,11,13],[3,5,6,10,11,12,14],[4,5,6,7,8,10,11]]; G[717]:=Group([(1,10,11)(2,3,12)(5,13,14)(7,8,9)]); # Design 718: autom. group order 3, simple B[718]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,9,11,14],[1,3,8,10,11,13,14],[1,4,5,9,12,13,14],[1,4,6,7,10,11,12],[1,4,6,9,12,13,14],[1,5,7,8,11,12,13],[1,6,7,8,9,10,14],[2,3,6,7,9,12,13],[2,3,7,8,12,13,14],[2,4,5,7,10,13,14],[2,4,6,8,11,12,14],[2,4,7,8,9,11,14],[2,5,6,9,10,11,14],[2,5,9,10,11,12,13],[3,4,5,8,10,12,14],[3,4,6,8,9,11,13],[3,4,7,9,10,11,13],[3,5,6,7,11,12,14],[3,5,6,8,9,10,12],[4,5,6,7,8,10,13]]; G[718]:=Group([(1,4,13)(2,7,8)(3,10,11)(9,14,12)]); # Design 719: autom. group order 3, simple, residual B[719]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,11,12,14],[1,3,8,9,10,11,13],[1,4,5,9,12,13,14],[1,4,6,7,9,10,11],[1,4,6,9,12,13,14],[1,5,7,8,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,9,13,14],[2,3,7,8,9,12,13],[2,4,5,7,10,12,13],[2,4,6,8,11,12,14],[2,4,7,8,9,11,14],[2,5,6,9,10,11,14],[2,5,9,10,11,12,13],[3,4,5,8,9,10,14],[3,4,6,8,11,12,13],[3,4,7,10,11,13,14],[3,5,6,7,9,11,12],[3,5,6,8,10,12,14],[4,5,6,7,8,10,13]]; G[719]:=Group([(1,4,13)(2,7,8)(3,10,11)(9,12,14)]); # Design 720: autom. group order 3, simple, residual B[720]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,11,12,14],[1,3,9,10,12,13,14],[1,4,5,8,9,12,14],[1,4,6,7,9,11,13],[1,4,6,10,12,13,14],[1,5,7,8,10,11,13],[1,6,7,8,9,11,12],[2,3,6,8,11,12,14],[2,3,7,9,11,12,13],[2,4,5,7,12,13,14],[2,4,6,7,9,10,12],[2,4,8,9,11,13,14],[2,5,6,9,10,11,14],[2,5,7,8,10,12,13],[3,4,5,9,10,11,13],[3,4,6,7,8,13,14],[3,4,7,8,10,11,14],[3,5,6,7,9,10,14],[3,5,6,8,9,12,13],[4,5,6,8,10,11,12]]; G[720]:=Group([(1,7,14)(3,12,11)(4,13,6)(8,10,9)]); # Design 721: autom. group order 3, simple B[721]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,11,12,14],[1,3,5,7,8,10,13],[1,3,8,9,11,13,14],[1,4,5,9,12,13,14],[1,4,6,7,9,13,14],[1,4,6,8,10,11,14],[1,5,7,8,9,10,12],[1,6,7,9,10,11,12],[2,3,6,8,9,12,14],[2,3,7,9,10,11,13],[2,4,5,9,10,11,14],[2,4,6,7,8,12,13],[2,4,7,8,9,11,13],[2,5,6,7,9,10,14],[2,5,8,10,12,13,14],[3,4,5,7,11,12,14],[3,4,6,8,9,10,12],[3,4,7,10,12,13,14],[3,5,6,7,8,11,14],[3,5,6,9,11,12,13],[4,5,6,8,10,11,13]]; G[721]:=Group([(1,2,14)(3,10,13)(4,5,9)(8,11,12)]); # Design 722: autom. group order 3, simple B[722]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,10,12,13],[1,3,8,9,12,13,14],[1,4,5,9,11,13,14],[1,4,6,7,9,13,14],[1,4,6,10,11,12,14],[1,5,7,8,9,10,12],[1,6,7,8,9,10,11],[2,3,6,8,9,12,14],[2,3,7,9,10,11,13],[2,4,5,9,10,12,14],[2,4,6,7,8,12,13],[2,4,7,9,11,12,13],[2,5,6,7,9,10,14],[2,5,8,10,11,13,14],[3,4,5,7,8,11,14],[3,4,6,8,9,10,11],[3,4,7,8,10,13,14],[3,5,6,7,11,12,14],[3,5,6,9,11,12,13],[4,5,6,8,10,12,13]]; G[722]:=Group([(1,2,14)(3,10,13)(4,5,9)(8,12,11)]); # Design 723: autom. group order 3, simple, residual B[723]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,10,12,13],[1,3,8,9,11,13,14],[1,4,5,9,12,13,14],[1,4,6,7,9,13,14],[1,4,6,8,10,12,14],[1,5,7,9,10,11,12],[1,6,7,8,9,10,11],[2,3,6,9,11,12,14],[2,3,7,8,9,10,13],[2,4,5,9,10,11,14],[2,4,6,7,11,12,13],[2,4,7,8,9,12,13],[2,5,6,7,9,10,14],[2,5,8,10,12,13,14],[3,4,5,7,8,11,14],[3,4,6,8,9,10,12],[3,4,7,10,11,13,14],[3,5,6,7,8,12,14],[3,5,6,9,11,12,13],[4,5,6,8,10,11,13]]; G[723]:=Group([(1,2,14)(3,10,13)(4,5,9)(8,11,12)]); # Design 724: autom. group order 3, simple B[724]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,11,13,14],[1,3,5,10,11,12,14],[1,3,7,9,11,12,13],[1,4,5,7,10,13,14],[1,4,6,7,9,12,14],[1,4,6,8,11,12,13],[1,5,8,9,10,11,14],[1,6,7,8,9,10,12],[2,3,6,7,10,12,14],[2,3,8,9,10,12,13],[2,4,5,7,8,11,12],[2,4,6,9,10,11,14],[2,4,7,9,10,11,13],[2,5,6,11,12,13,14],[2,5,7,8,9,12,14],[3,4,5,9,12,13,14],[3,4,6,8,9,11,14],[3,4,7,8,10,13,14],[3,5,6,7,8,10,11],[3,5,6,7,9,11,13],[4,5,6,8,10,12,13]]; G[724]:=Group([(1,4,7)(2,13,12)(3,10,9)(5,14,6)]); # Design 725: autom. group order 3, simple, residual B[725]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,10,11,13],[1,3,5,10,12,13,14],[1,3,7,9,11,12,14],[1,4,5,8,11,12,14],[1,4,6,7,8,12,13],[1,4,6,7,9,10,14],[1,5,7,8,9,10,12],[1,6,8,9,11,13,14],[2,3,6,9,10,12,14],[2,3,7,8,9,12,13],[2,4,5,7,9,13,14],[2,4,6,7,11,12,14],[2,4,8,10,12,13,14],[2,5,6,8,9,11,12],[2,5,7,8,10,11,14],[3,4,5,9,11,13,14],[3,4,6,8,9,10,11],[3,4,7,8,10,11,13],[3,5,6,7,8,10,14],[3,5,6,7,11,12,13],[4,5,6,9,10,12,13]]; G[725]:=Group([(1,4,10)(2,3,11)(5,8,13)(6,9,7)]); # Design 726: autom. group order 3, simple, residual B[726]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,11,13,14],[1,3,7,11,12,13,14],[1,4,5,8,10,12,14],[1,4,6,7,9,12,13],[1,4,6,9,11,12,14],[1,5,7,8,10,11,12],[1,6,7,8,9,10,13],[2,3,6,7,10,12,14],[2,3,7,8,9,11,12],[2,4,5,7,9,12,13],[2,4,6,9,10,11,14],[2,4,7,8,11,13,14],[2,5,6,8,11,12,13],[2,5,9,10,12,13,14],[3,4,5,7,10,13,14],[3,4,6,8,10,12,13],[3,4,8,9,10,11,13],[3,5,6,7,9,10,11],[3,5,6,8,9,12,14],[4,5,6,7,8,11,14]]; G[726]:=Group([(1,4,13)(2,10,14)(5,8,11)(6,12,7)]); # Design 727: autom. group order 3, simple, residual B[727]:=[[1,2,3,4,5,6,7],[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],[1,4,6,7,8,11,13],[1,4,6,7,9,10,14],[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],[2,4,5,9,10,13,14],[2,4,6,8,11,12,14],[2,4,7,9,11,12,14],[2,5,6,7,8,10,14],[2,5,7,8,10,12,13],[3,4,5,8,11,13,14],[3,4,6,9,10,12,13],[3,4,7,8,10,12,13],[3,5,6,7,9,11,13],[3,5,6,10,11,12,14],[4,5,6,8,9,10,11]]; G[727]:=Group([(1,10,11)(2,3,12)(5,13,14)(7,9,8)]); # Design 728: autom. group order 3, simple, residual B[728]:=[[1,2,3,4,5,6,7],[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],[1,2,9,11,12,13,14],[1,3,5,9,10,12,14],[1,3,7,8,11,12,14],[1,4,5,7,11,13,14],[1,4,6,7,9,10,14],[1,4,6,8,10,12,13],[1,5,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,6,7,8,9,14],[2,3,7,8,10,11,13],[2,4,5,7,9,12,13],[2,4,6,7,11,12,14],[2,4,8,9,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,12,14],[3,4,5,8,12,13,14],[3,4,6,8,9,11,12],[3,4,7,9,10,11,13],[3,5,6,7,10,12,13],[3,5,6,9,11,13,14],[4,5,6,8,10,11,14]]; G[728]:=Group([(1,3,13)(2,10,6)(4,7,8)(5,11,12)]); # Design 729: autom. group order 3, simple, residual B[729]:=[[1,2,3,4,5,6,7],[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],[1,2,9,10,12,13,14],[1,3,5,9,12,13,14],[1,3,7,8,9,11,12],[1,4,5,7,11,13,14],[1,4,6,7,8,10,14],[1,4,6,9,11,13,14],[1,5,7,8,9,10,11],[1,6,7,8,10,12,13],[2,3,6,7,9,10,14],[2,3,7,8,11,13,14],[2,4,5,7,10,12,13],[2,4,6,8,9,11,13],[2,4,7,8,9,12,13],[2,5,6,8,11,12,14],[2,5,7,9,10,11,14],[3,4,5,8,10,13,14],[3,4,6,7,9,12,14],[3,4,8,10,11,12,14],[3,5,6,7,11,12,13],[3,5,6,8,9,10,13],[4,5,6,9,10,11,12]]; G[729]:=Group([(2,8,14)(3,7,13)(4,10,9)(5,6,12)]); # Design 730: autom. group order 3, simple, residual B[730]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,6,8,10,13],[1,2,7,8,9,11,12],[1,3,5,11,12,13,14],[1,3,8,9,10,11,14],[1,4,5,7,9,11,14],[1,4,6,8,10,12,14],[1,4,6,9,10,12,13],[1,5,7,9,10,12,13],[1,6,7,8,11,13,14],[2,3,6,9,11,12,13],[2,3,7,8,10,12,14],[2,4,5,10,11,13,14],[2,4,7,8,10,11,13],[2,4,7,9,12,13,14],[2,5,6,8,9,12,14],[2,5,6,9,10,11,14],[3,4,5,8,12,13,14],[3,4,6,7,9,10,14],[3,4,6,8,9,11,13],[3,5,6,7,10,11,12],[3,5,7,8,9,10,13],[4,5,6,7,8,11,12]]; G[730]:=Group([(1,2,10)(3,11,12)(5,13,6)(7,14,9)]); # Design 731: autom. group order 3, simple, residual B[731]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,10,13,14],[1,3,5,9,11,12,14],[1,3,7,8,9,11,13],[1,4,5,8,12,13,14],[1,4,6,7,10,12,14],[1,4,6,9,11,13,14],[1,5,7,8,10,12,13],[1,6,8,9,10,11,12],[2,3,6,8,12,13,14],[2,3,7,11,12,13,14],[2,4,5,10,11,12,13],[2,4,7,8,9,10,14],[2,4,7,8,9,11,12],[2,5,6,8,9,12,14],[2,5,6,9,10,11,13],[3,4,5,9,10,13,14],[3,4,6,7,9,12,13],[3,4,6,8,10,11,14],[3,5,6,7,9,10,12],[3,5,7,8,10,11,14],[4,5,6,7,8,11,13]]; G[731]:=Group([(1,9,11)(3,8,12)(5,7,10)(6,14,13)]); # Design 732: autom. group order 3, simple, residual B[732]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,11,12,13],[1,3,5,7,11,12,14],[1,3,7,8,10,11,13],[1,4,5,8,9,11,13],[1,4,6,7,9,10,12],[1,4,6,8,10,12,14],[1,5,9,10,12,13,14],[1,6,7,8,9,11,14],[2,3,6,9,11,12,14],[2,3,8,9,10,12,13],[2,4,5,9,10,11,14],[2,4,7,8,10,11,14],[2,4,7,8,12,13,14],[2,5,6,7,8,9,12],[2,5,6,7,10,11,13],[3,4,5,7,12,13,14],[3,4,6,7,9,10,13],[3,4,6,9,11,13,14],[3,5,6,8,10,11,12],[3,5,7,8,9,10,14],[4,5,6,8,11,12,13]]; G[732]:=Group([(1,2,10)(3,11,12)(5,14,6)(7,9,8)]); # Design 733: autom. group order 3, simple, residual B[733]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,10,11,13],[1,3,5,9,12,13,14],[1,3,7,8,11,12,14],[1,4,5,7,10,13,14],[1,4,6,7,8,12,13],[1,4,6,9,11,12,14],[1,5,7,8,10,11,12],[1,6,8,9,10,13,14],[2,3,6,7,12,13,14],[2,3,7,9,10,12,14],[2,4,5,8,12,13,14],[2,4,7,8,9,10,14],[2,4,8,9,11,12,13],[2,5,6,7,8,11,14],[2,5,6,10,11,12,13],[3,4,5,10,11,13,14],[3,4,6,7,9,11,13],[3,4,6,8,10,11,14],[3,5,6,8,9,10,12],[3,5,7,8,9,11,13],[4,5,6,7,9,10,12]]; G[733]:=Group([(1,12,13)(2,10,11)(3,5,9)(4,6,7)]); # Design 734: autom. group order 3, simple, residual B[734]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,11,12,13],[1,3,5,8,12,13,14],[1,3,7,9,10,11,14],[1,4,5,7,9,13,14],[1,4,6,7,10,12,14],[1,4,6,8,11,12,13],[1,5,7,8,10,11,12],[1,6,8,9,10,13,14],[2,3,6,9,10,12,14],[2,3,7,8,11,13,14],[2,4,5,10,12,13,14],[2,4,7,8,9,10,13],[2,4,8,9,11,12,14],[2,5,6,7,8,12,14],[2,5,6,7,10,11,13],[3,4,5,10,11,13,14],[3,4,6,7,8,11,14],[3,4,6,7,9,12,13],[3,5,6,9,11,12,13],[3,5,7,8,9,10,12],[4,5,6,8,9,10,11]]; G[734]:=Group([(1,12,14)(2,9,11)(4,6,7)(5,13,8)]); # Design 735: autom. group order 3, simple, residual B[735]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,10,12,14],[1,3,5,9,12,13,14],[1,3,7,8,9,11,13],[1,4,5,7,11,12,14],[1,4,6,7,9,12,13],[1,4,6,8,10,13,14],[1,5,8,9,10,11,14],[1,6,7,8,10,11,12],[2,3,6,7,8,12,14],[2,3,7,9,10,11,13],[2,4,5,10,11,12,13],[2,4,7,8,11,13,14],[2,4,8,9,12,13,14],[2,5,6,7,9,11,14],[2,5,6,8,9,10,12],[3,4,5,7,8,10,14],[3,4,6,8,9,11,12],[3,4,6,9,10,11,14],[3,5,6,11,12,13,14],[3,5,7,8,10,12,13],[4,5,6,7,9,10,13]]; G[735]:=Group([(1,8,12)(2,14,5)(3,4,13)(6,7,11)]); # Design 736: autom. group order 3, simple, residual B[736]:=[[1,2,3,4,5,6,7],[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],[1,2,9,10,12,13,14],[1,3,5,9,12,13,14],[1,3,7,8,9,11,12],[1,4,5,7,11,13,14],[1,4,6,7,8,10,14],[1,4,6,9,11,13,14],[1,5,7,8,9,10,11],[1,6,7,8,10,12,13],[2,3,6,7,9,10,14],[2,3,7,8,11,13,14],[2,4,5,7,10,12,13],[2,4,7,8,9,12,13],[2,4,8,9,10,11,14],[2,5,6,7,9,11,13],[2,5,6,8,11,12,14],[3,4,5,8,10,13,14],[3,4,6,7,9,12,14],[3,4,6,8,11,12,13],[3,5,6,8,9,10,13],[3,5,7,10,11,12,14],[4,5,6,9,10,11,12]]; G[736]:=Group([(2,8,14)(3,7,13)(4,10,9)(5,6,12)]); # Design 737: autom. group order 3, simple, residual B[737]:=[[1,2,3,4,5,6,7],[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],[1,2,8,9,11,12,14],[1,3,5,9,12,13,14],[1,3,7,9,10,13,14],[1,4,5,7,9,10,11],[1,4,6,7,8,12,14],[1,4,6,10,11,13,14],[1,5,7,8,11,12,13],[1,6,7,8,9,10,12],[2,3,6,7,9,12,13],[2,3,7,10,11,12,14],[2,4,5,7,12,13,14],[2,4,7,8,9,11,13],[2,4,8,9,10,13,14],[2,5,6,7,8,10,14],[2,5,6,9,10,11,12],[3,4,5,8,10,12,14],[3,4,6,7,9,11,14],[3,4,6,8,11,12,13],[3,5,6,8,9,11,14],[3,5,7,8,10,11,13],[4,5,6,9,10,12,13]]; G[737]:=Group([(1,9,11)(2,12,8)(3,6,13)(4,10,7)]); # Design 738: autom. group order 3, simple, residual B[738]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,10,13,14],[1,3,5,10,12,13,14],[1,3,8,9,10,11,13],[1,4,5,11,12,13,14],[1,4,6,7,8,12,13],[1,4,6,9,11,12,14],[1,5,7,8,9,10,12],[1,6,7,8,9,11,14],[2,3,7,8,11,12,14],[2,3,7,9,11,12,13],[2,4,5,8,9,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,12,14],[2,5,6,8,11,12,13],[2,5,6,9,10,12,14],[3,4,5,7,9,11,14],[3,4,6,7,10,13,14],[3,4,6,8,9,10,12],[3,5,6,7,9,12,13],[3,5,6,8,10,11,14],[4,5,7,8,10,11,13]]; G[738]:=Group([(1,2,12)(3,11,4)(5,7,14)(6,8,13)]); # Design 739: autom. group order 3, simple, residual B[739]:=[[1,2,3,4,5,6,7],[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],[1,3,5,10,12,13,14],[1,3,7,9,10,11,13],[1,4,5,11,12,13,14],[1,4,6,7,8,12,13],[1,4,6,9,11,12,14],[1,5,7,8,9,11,14],[1,6,7,8,9,10,12],[2,3,7,8,11,12,14],[2,3,7,9,11,12,13],[2,4,5,7,9,13,14],[2,4,6,9,10,11,14],[2,4,7,8,10,12,14],[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[739]:=Group([(1,2,12)(3,11,4)(5,7,14)(6,8,13)]); # Design 740: autom. group order 3, simple, residual B[740]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,12,13,14],[1,3,5,9,11,13,14],[1,3,7,8,10,12,14],[1,4,5,9,10,13,14],[1,4,6,9,10,12,14],[1,4,7,8,11,12,13],[1,5,6,8,11,12,13],[1,6,7,8,9,10,11],[2,3,6,8,9,12,14],[2,3,8,10,11,13,14],[2,4,5,7,11,12,14],[2,4,6,8,9,12,13],[2,4,6,10,11,13,14],[2,5,7,8,9,10,13],[2,5,7,9,10,11,12],[3,4,5,8,10,12,13],[3,4,6,7,9,11,13],[3,4,7,8,9,11,14],[3,5,6,7,12,13,14],[3,5,6,9,10,11,12],[4,5,6,7,8,10,14]]; G[740]:=Group([(2,9,11)(3,14,8)(4,13,6)(7,10,12)]); # Design 741: autom. group order 3, simple, residual B[741]:=[[1,2,3,4,5,6,7],[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],[1,2,8,9,10,11,13],[1,3,5,8,11,12,14],[1,3,7,9,11,12,14],[1,4,5,7,9,10,14],[1,4,6,9,12,13,14],[1,4,7,8,10,12,13],[1,5,6,8,9,12,13],[1,6,7,8,10,11,14],[2,3,6,8,9,10,14],[2,3,7,8,9,12,13],[2,4,5,10,12,13,14],[2,4,6,7,8,11,12],[2,4,6,9,11,12,14],[2,5,7,8,10,12,14],[2,5,7,9,11,13,14],[3,4,5,8,11,13,14],[3,4,6,7,8,13,14],[3,4,7,9,10,11,13],[3,5,6,7,9,10,12],[3,5,6,10,11,12,13],[4,5,6,8,9,10,11]]; G[741]:=Group([(1,4,11)(2,12,3)(5,6,14)(7,9,8)]); # Design 742: autom. group order 3, simple B[742]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,9,12,14],[1,3,7,8,10,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,12,13],[1,4,7,8,11,12,14],[1,5,6,9,10,11,14],[1,6,7,9,10,12,13],[2,3,6,9,11,12,14],[2,3,7,9,11,12,13],[2,4,5,7,10,12,13],[2,4,6,7,9,13,14],[2,4,6,8,10,12,14],[2,5,7,8,11,13,14],[2,5,8,9,10,12,14],[3,4,5,9,10,13,14],[3,4,6,7,10,11,14],[3,4,8,9,10,11,13],[3,5,6,7,8,10,12],[3,5,6,8,11,12,13],[4,5,6,7,8,9,11]]; G[742]:=Group([(1,3,12)(2,11,4)(5,9,14)(6,13,8)]); # Design 743: autom. group order 3, simple, residual B[743]:=[[1,2,3,4,5,6,7],[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],[1,3,7,9,11,13,14],[1,4,5,9,10,13,14],[1,4,6,8,11,12,13],[1,4,7,8,10,11,14],[1,5,6,8,11,12,14],[1,6,7,8,9,10,12],[2,3,6,8,10,13,14],[2,3,7,8,9,11,12],[2,4,5,11,12,13,14],[2,4,6,7,9,11,14],[2,4,6,7,10,12,13],[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],[3,4,8,9,10,11,13],[3,5,6,7,10,11,14],[3,5,6,9,11,12,13],[4,5,6,7,8,9,13]]; G[743]:=Group([(2,8,13)(3,6,14)(4,12,9)(5,11,7)]); # Design 744: autom. group order 3, simple, residual B[744]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,11,13,14],[1,3,8,9,11,12,14],[1,4,5,7,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,9,10,13],[1,5,6,8,10,12,13],[1,6,7,8,9,11,12],[2,3,6,7,8,9,13],[2,3,8,10,12,13,14],[2,4,5,9,11,12,13],[2,4,6,7,8,11,14],[2,4,6,9,12,13,14],[2,5,7,8,10,11,14],[2,5,7,9,10,11,12],[3,4,5,8,9,10,14],[3,4,6,7,10,12,14],[3,4,7,8,11,12,13],[3,5,6,7,9,10,12],[3,5,6,9,11,13,14],[4,5,6,8,10,11,13]]; G[744]:=Group([(2,7,12)(3,13,8)(4,14,6)(9,11,10)]); # Design 745: autom. group order 3, simple, residual B[745]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,12,13,14],[1,3,5,7,10,13,14],[1,3,8,9,11,12,14],[1,4,5,7,11,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,12,13],[1,5,6,9,11,12,13],[1,6,7,8,9,10,11],[2,3,6,7,9,12,13],[2,3,9,10,11,13,14],[2,4,5,8,11,12,13],[2,4,6,7,9,12,14],[2,4,6,10,11,13,14],[2,5,7,8,9,10,14],[2,5,7,8,10,11,12],[3,4,5,9,10,12,14],[3,4,6,7,8,11,14],[3,4,7,8,9,11,13],[3,5,6,7,10,11,12],[3,5,6,8,12,13,14],[4,5,6,8,9,10,13]]; G[745]:=Group([(2,7,11)(3,13,9)(4,14,6)(8,10,12)]); # Design 746: autom. group order 3, simple, residual B[746]:=[[1,2,3,4,5,6,7],[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],[1,2,7,10,11,12,13],[1,3,5,7,11,12,14],[1,3,8,9,12,13,14],[1,4,5,8,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,9,11,13],[1,5,6,7,10,13,14],[1,6,7,8,9,10,12],[2,3,6,7,8,12,14],[2,3,7,9,11,13,14],[2,4,5,10,12,13,14],[2,4,6,7,9,12,13],[2,4,6,8,11,13,14],[2,5,7,8,9,10,14],[2,5,8,9,10,11,12],[3,4,5,7,9,10,13],[3,4,6,9,10,12,14],[3,4,7,8,10,11,14],[3,5,6,8,10,11,13],[3,5,6,9,11,12,13],[4,5,6,7,8,11,12]]; G[746]:=Group([(1,5,10)(3,9,12)(4,8,11)(6,14,13)]); # Design 747: autom. group order 3, simple, residual B[747]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,9,13,14],[1,3,8,9,11,12,13],[1,4,5,9,11,12,14],[1,4,6,8,10,11,14],[1,4,7,9,10,12,13],[1,5,6,7,10,12,14],[1,6,7,8,9,11,14],[2,3,6,9,10,12,14],[2,3,7,9,10,11,14],[2,4,5,7,8,12,14],[2,4,6,7,9,11,13],[2,4,6,9,12,13,14],[2,5,7,8,9,10,11],[2,5,8,11,12,13,14],[3,4,5,10,11,13,14],[3,4,6,7,8,11,12],[3,4,7,8,10,13,14],[3,5,6,7,11,12,13],[3,5,6,8,9,10,12],[4,5,6,8,9,10,13]]; G[747]:=Group([(2,6,10)(3,14,12)(4,8,7)(5,11,13)]); # Design 748: autom. group order 3, simple, residual B[748]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,11,12,14],[1,3,5,8,9,10,14],[1,3,7,8,9,11,13],[1,4,5,7,12,13,14],[1,4,6,9,10,12,14],[1,4,7,9,11,13,14],[1,5,6,7,8,10,11],[1,6,8,9,10,12,13],[2,3,6,7,9,13,14],[2,3,7,9,10,11,12],[2,4,5,8,9,12,13],[2,4,6,7,8,10,13],[2,4,6,8,9,11,14],[2,5,7,9,10,12,14],[2,5,8,10,11,13,14],[3,4,5,10,11,13,14],[3,4,6,8,11,12,14],[3,4,7,8,10,12,13],[3,5,6,7,8,12,14],[3,5,6,9,11,12,13],[4,5,6,7,9,10,11]]; G[748]:=Group([(1,2,8)(3,4,9)(6,13,10)(7,12,14)]); # Design 749: autom. group order 3, simple, residual B[749]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,12,13,14],[1,3,5,9,11,12,14],[1,3,7,8,11,12,13],[1,4,5,7,9,10,13],[1,4,6,9,12,13,14],[1,4,7,8,10,11,14],[1,5,6,8,10,12,14],[1,6,7,8,9,10,11],[2,3,6,7,8,9,12],[2,3,7,8,10,13,14],[2,4,5,8,10,12,14],[2,4,6,7,11,12,14],[2,4,6,9,10,11,13],[2,5,7,9,10,11,12],[2,5,8,9,11,13,14],[3,4,5,7,11,13,14],[3,4,6,8,9,11,14],[3,4,8,9,10,12,13],[3,5,6,7,9,10,14],[3,5,6,10,11,12,13],[4,5,6,7,8,12,13]]; G[749]:=Group([(2,8,14)(3,11,12)(4,7,9)(5,10,13)]); # Design 750: autom. group order 3, simple, residual B[750]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,11,13,14],[1,3,5,9,11,13,14],[1,3,7,8,9,12,13],[1,4,5,7,10,13,14],[1,4,6,8,10,11,14],[1,4,7,9,10,12,14],[1,5,6,9,10,12,13],[1,6,7,8,9,11,12],[2,3,6,7,12,13,14],[2,3,7,9,10,11,14],[2,4,5,9,11,12,13],[2,4,6,7,9,10,13],[2,4,6,8,9,12,14],[2,5,7,8,9,10,11],[2,5,8,10,12,13,14],[3,4,5,7,8,12,14],[3,4,6,9,11,13,14],[3,4,8,10,11,12,13],[3,5,6,7,10,11,12],[3,5,6,8,9,10,14],[4,5,6,7,8,11,13]]; G[750]:=Group([(1,3,9)(2,14,12)(4,11,7)(5,13,8)]); # Design 751: autom. group order 3, simple, residual B[751]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,12,13,14],[1,3,5,9,11,12,14],[1,3,7,8,11,12,13],[1,4,5,7,9,10,13],[1,4,6,9,12,13,14],[1,4,7,8,10,11,14],[1,5,6,8,10,12,14],[1,6,7,8,9,10,11],[2,3,6,9,10,11,14],[2,3,7,8,9,10,12],[2,4,5,7,11,12,14],[2,4,6,7,8,9,14],[2,4,6,8,11,12,13],[2,5,7,10,11,13,14],[2,5,8,9,10,12,13],[3,4,5,8,10,13,14],[3,4,6,7,10,12,13],[3,4,8,9,11,13,14],[3,5,6,7,8,12,14],[3,5,6,7,9,11,13],[4,5,6,9,10,11,12]]; G[751]:=Group([(2,8,14)(3,11,12)(4,7,9)(5,10,13)]); # Design 752: autom. group order 3, simple, residual B[752]:=[[1,2,3,4,5,6,7],[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],[1,3,7,8,12,13,14],[1,4,5,7,11,13,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,14],[1,5,6,8,10,12,14],[1,6,7,8,9,10,11],[2,3,6,8,9,12,14],[2,3,7,9,11,13,14],[2,4,5,7,10,12,14],[2,4,6,7,8,12,13],[2,4,6,9,10,11,14],[2,5,7,8,9,11,12],[2,5,8,10,11,13,14],[3,4,5,8,9,10,13],[3,4,6,7,8,11,14],[3,4,8,10,11,12,13],[3,5,6,7,9,10,13],[3,5,6,7,10,11,12],[4,5,6,9,12,13,14]]; G[752]:=Group([(1,6,11)(2,7,12)(4,5,10)(8,9,13)]); # Design 753: autom. group order 3, simple B[753]:=[[1,2,3,4,5,6,7],[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],[1,3,7,8,9,12,14],[1,4,5,7,11,13,14],[1,4,6,8,11,12,14],[1,4,7,8,10,13,14],[1,5,6,9,10,12,13],[1,6,7,8,9,10,11],[2,3,6,8,12,13,14],[2,3,7,8,9,11,13],[2,4,5,7,8,10,12],[2,4,6,7,9,12,14],[2,4,6,9,10,11,14],[2,5,7,11,12,13,14],[2,5,8,9,10,11,14],[3,4,5,9,10,13,14],[3,4,6,7,9,11,13],[3,4,8,10,11,12,13],[3,5,6,7,8,10,14],[3,5,6,7,10,11,12],[4,5,6,8,9,12,13]]; G[753]:=Group([(1,6,11)(2,7,12)(4,5,10)(9,14,13)]); # Design 754: autom. group order 3, simple, residual B[754]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,10,12,14],[1,3,5,9,11,12,14],[1,3,7,8,12,13,14],[1,4,5,7,11,13,14],[1,4,6,8,11,12,14],[1,4,7,8,9,10,13],[1,5,6,9,10,12,13],[1,6,7,8,9,10,11],[2,3,6,8,9,12,13],[2,3,7,8,9,11,14],[2,4,5,7,8,10,12],[2,4,6,7,12,13,14],[2,4,6,9,10,11,14],[2,5,7,9,11,12,13],[2,5,8,10,11,13,14],[3,4,5,9,10,13,14],[3,4,6,7,9,11,13],[3,4,8,10,11,12,13],[3,5,6,7,8,10,14],[3,5,6,7,10,11,12],[4,5,6,8,9,12,14]]; G[754]:=Group([(1,6,11)(2,7,12)(4,5,10)(9,14,13)]); # Design 755: autom. group order 3, simple B[755]:=[[1,2,3,4,5,6,7],[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],[1,2,7,10,12,13,14],[1,3,5,9,11,12,14],[1,3,7,8,9,12,13],[1,4,5,7,11,13,14],[1,4,6,8,11,12,14],[1,4,7,8,9,10,14],[1,5,6,9,10,12,13],[1,6,7,8,9,10,11],[2,3,6,8,9,12,14],[2,3,7,8,11,13,14],[2,4,5,7,8,10,12],[2,4,6,7,9,12,13],[2,4,6,9,10,11,14],[2,5,7,9,11,12,14],[2,5,8,9,10,11,13],[3,4,5,9,10,13,14],[3,4,6,7,9,11,13],[3,4,8,10,11,12,13],[3,5,6,7,8,10,14],[3,5,6,7,10,11,12],[4,5,6,8,12,13,14]]; G[755]:=Group([(1,6,11)(2,7,12)(4,5,10)(9,14,13)]); # Design 756: autom. group order 3, simple B[756]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,11,12,14],[1,3,7,9,12,13,14],[1,4,5,7,11,13,14],[1,4,6,9,11,12,13],[1,4,7,8,10,13,14],[1,5,6,8,10,12,14],[1,6,7,8,9,10,11],[2,3,6,8,12,13,14],[2,3,7,8,9,11,14],[2,4,5,7,10,12,14],[2,4,6,7,9,12,13],[2,4,6,9,10,11,14],[2,5,7,8,11,12,13],[2,5,9,10,11,13,14],[3,4,5,8,9,10,13],[3,4,6,7,8,11,14],[3,4,8,10,11,12,13],[3,5,6,7,9,10,13],[3,5,6,7,10,11,12],[4,5,6,8,9,12,14]]; G[756]:=Group([(1,6,11)(2,7,12)(4,5,10)(8,9,13)]); # Design 757: autom. group order 3, simple B[757]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,10,12,13],[1,3,5,9,11,12,14],[1,3,7,8,9,12,14],[1,4,5,7,11,13,14],[1,4,6,9,11,12,13],[1,4,7,9,10,13,14],[1,5,6,8,10,12,14],[1,6,7,8,9,10,11],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,5,7,10,12,14],[2,4,6,7,8,9,12],[2,4,6,9,10,11,14],[2,5,7,9,11,12,13],[2,5,8,9,10,11,14],[3,4,5,8,9,10,13],[3,4,6,7,8,11,14],[3,4,8,10,11,12,13],[3,5,6,7,9,10,13],[3,5,6,7,10,11,12],[4,5,6,8,12,13,14]]; G[757]:=Group([(1,6,11)(2,7,12)(4,5,10)(8,9,13)]); # Design 758: autom. group order 3, simple B[758]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,12,13,14],[1,3,7,8,9,10,13],[1,4,5,7,11,12,13],[1,4,6,8,11,13,14],[1,4,8,10,12,13,14],[1,5,6,7,9,11,14],[1,6,7,8,9,10,12],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,5,9,10,13,14],[2,4,6,7,8,9,13],[2,4,6,7,10,12,14],[2,5,7,8,11,12,13],[2,5,8,9,10,11,12],[3,4,5,7,8,10,14],[3,4,6,8,9,11,12],[3,4,7,9,11,12,14],[3,5,6,7,10,12,13],[3,5,6,8,10,11,14],[4,5,6,9,10,11,13]]; G[758]:=Group([(1,3,9)(2,12,7)(4,14,10)(5,13,8)]); # Design 759: autom. group order 3, simple, residual B[759]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,12,13,14],[1,3,7,8,10,11,14],[1,4,5,9,11,13,14],[1,4,6,7,9,10,14],[1,4,7,8,11,12,13],[1,5,6,8,10,12,13],[1,6,7,8,9,11,12],[2,3,6,8,9,11,14],[2,3,7,8,12,13,14],[2,4,5,7,11,12,14],[2,4,6,7,8,9,13],[2,4,6,10,12,13,14],[2,5,7,9,10,11,12],[2,5,8,9,10,11,13],[3,4,5,7,8,10,13],[3,4,6,9,11,12,13],[3,4,8,9,10,12,14],[3,5,6,7,9,10,12],[3,5,6,7,11,13,14],[4,5,6,8,10,11,14]]; G[759]:=Group([(2,9,12)(3,14,8)(4,13,6)(7,11,10)]); # Design 760: autom. group order 3, simple B[760]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,10,12,14],[1,3,7,8,10,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,11,14],[1,4,7,8,11,12,13],[1,5,6,7,9,12,13],[1,6,7,9,10,11,14],[2,3,6,9,11,12,13],[2,3,7,9,11,12,14],[2,4,5,7,10,11,14],[2,4,6,7,8,12,14],[2,4,6,9,10,13,14],[2,5,7,8,9,11,13],[2,5,8,10,12,13,14],[3,4,5,7,9,13,14],[3,4,6,7,10,12,13],[3,4,8,9,10,11,13],[3,5,6,7,8,10,11],[3,5,6,8,11,12,14],[4,5,6,8,9,10,12]]; G[760]:=Group([(1,3,11)(2,12,4)(5,9,13)(6,14,8)]); # Design 761: autom. group order 3, simple, residual B[761]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,11,12,13],[1,3,5,8,9,10,12],[1,3,8,9,11,13,14],[1,4,5,7,12,13,14],[1,4,6,9,10,12,13],[1,4,7,9,11,12,14],[1,5,6,7,8,10,11],[1,6,7,8,9,10,14],[2,3,6,7,9,12,14],[2,3,7,9,10,11,13],[2,4,5,8,9,13,14],[2,4,6,7,8,9,11],[2,4,6,8,10,12,14],[2,5,7,9,10,12,13],[2,5,8,10,11,12,14],[3,4,5,7,10,11,14],[3,4,6,8,11,12,13],[3,4,7,8,10,13,14],[3,5,6,7,8,12,13],[3,5,6,9,11,12,14],[4,5,6,9,10,11,13]]; G[761]:=Group([(1,2,8)(3,4,9)(6,14,10)(7,13,12)]); # Design 762: autom. group order 3, simple, residual B[762]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,9,10,12],[1,3,8,9,11,13,14],[1,4,5,7,11,12,14],[1,4,6,8,11,12,13],[1,4,7,9,12,13,14],[1,5,6,7,9,10,11],[1,6,7,8,9,10,14],[2,3,6,7,9,12,13],[2,3,7,8,11,12,14],[2,4,5,8,9,13,14],[2,4,6,7,8,9,11],[2,4,6,9,10,12,14],[2,5,7,8,10,11,13],[2,5,9,10,11,12,14],[3,4,5,7,10,13,14],[3,4,6,8,10,11,14],[3,4,7,9,10,11,13],[3,5,6,7,8,12,14],[3,5,6,9,11,12,13],[4,5,6,8,10,12,13]]; G[762]:=Group([(1,2,9)(3,4,8)(6,14,10)(7,13,12)]); # Design 763: autom. group order 3, simple, residual B[763]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,10,11,13],[1,3,8,9,11,12,14],[1,4,5,7,8,12,14],[1,4,6,9,10,12,14],[1,4,7,8,10,11,13],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,6,7,9,10,12],[2,3,7,8,10,12,13],[2,4,5,9,11,12,13],[2,4,6,7,9,11,14],[2,4,6,8,11,12,13],[2,5,7,8,10,11,14],[2,5,8,9,10,12,14],[3,4,5,7,12,13,14],[3,4,6,8,10,11,14],[3,4,7,9,10,13,14],[3,5,6,7,8,9,11],[3,5,6,11,12,13,14],[4,5,6,8,9,10,13]]; G[763]:=Group([(1,10,11)(3,12,4)(5,7,13)(6,8,9)]); # Design 764: autom. group order 3, simple, residual B[764]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,9,11,13],[1,3,7,8,10,12,14],[1,4,5,7,10,11,14],[1,4,6,8,9,11,12],[1,4,7,8,12,13,14],[1,5,6,8,9,10,12],[1,6,7,9,10,11,13],[2,3,6,7,10,11,12],[2,3,8,9,10,11,14],[2,4,5,9,10,12,13],[2,4,6,7,8,11,13],[2,4,6,7,9,12,14],[2,5,7,8,9,11,14],[2,5,7,8,10,12,13],[3,4,5,11,12,13,14],[3,4,6,9,10,13,14],[3,4,7,8,9,10,13],[3,5,6,7,9,12,14],[3,5,6,8,11,12,13],[4,5,6,8,10,11,14]]; G[764]:=Group([(1,9,14)(2,13,11)(3,10,5)(6,7,8)]); # Design 765: autom. group order 3, simple, residual B[765]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,10,12,14],[1,3,5,9,12,13,14],[1,3,8,9,10,11,14],[1,4,5,7,9,12,14],[1,4,6,8,9,11,13],[1,4,7,8,11,12,13],[1,5,6,8,10,11,12],[1,6,7,9,10,13,14],[2,3,6,8,9,12,14],[2,3,7,8,9,11,13],[2,4,5,8,10,13,14],[2,4,6,8,12,13,14],[2,4,7,9,10,11,14],[2,5,6,9,10,11,12],[2,5,7,9,11,12,13],[3,4,5,10,11,13,14],[3,4,6,7,11,12,14],[3,4,6,9,10,12,13],[3,5,6,7,8,11,14],[3,5,7,8,10,12,13],[4,5,6,7,8,9,10]]; G[765]:=Group([(1,11,14)(3,9,8)(4,7,12)(5,13,6)]); # Design 766: autom. group order 3, simple B[766]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,9,11,12],[1,3,5,8,9,10,14],[1,3,8,10,11,13,14],[1,4,5,7,12,13,14],[1,4,6,8,9,12,13],[1,4,7,8,11,13,14],[1,5,6,9,10,12,14],[1,6,7,9,10,11,12],[2,3,6,8,11,12,14],[2,3,7,9,12,13,14],[2,4,5,10,11,12,14],[2,4,6,9,10,13,14],[2,4,7,8,9,10,14],[2,5,6,8,9,11,13],[2,5,7,8,10,12,13],[3,4,5,9,11,12,13],[3,4,6,7,9,11,14],[3,4,6,8,10,12,13],[3,5,6,7,8,12,14],[3,5,7,9,10,11,13],[4,5,6,7,8,10,11]]; G[766]:=Group([(2,12,13)(3,9,14)(4,6,11)(5,10,8)]); # Design 767: autom. group order 3, simple, residual B[767]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,7,13,14],[1,2,7,8,12,13,14],[1,3,5,9,12,13,14],[1,3,7,8,9,10,13],[1,4,5,8,11,12,14],[1,4,6,8,11,12,13],[1,4,7,9,10,11,14],[1,5,6,9,10,11,14],[1,6,7,8,9,10,12],[2,3,6,8,9,11,14],[2,3,7,9,11,12,14],[2,4,5,9,10,12,13],[2,4,6,7,10,12,14],[2,4,7,8,9,11,13],[2,5,6,8,9,10,12],[2,5,8,10,11,13,14],[3,4,5,7,8,10,14],[3,4,6,8,10,13,14],[3,4,6,9,12,13,14],[3,5,6,7,8,11,12],[3,5,7,10,11,12,13],[4,5,6,7,9,11,13]]; G[767]:=Group([(1,3,9)(2,14,10)(4,12,7)(5,13,8)]); # Design 768: autom. group order 3, simple, residual B[768]:=[[1,2,3,4,5,6,7],[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],[1,2,7,10,11,12,14],[1,3,5,9,12,13,14],[1,3,7,8,9,12,14],[1,4,5,9,10,11,13],[1,4,6,8,11,12,13],[1,4,7,8,9,10,14],[1,5,6,10,12,13,14],[1,6,7,8,9,11,13],[2,3,6,9,10,13,14],[2,3,7,9,11,12,13],[2,4,5,8,12,13,14],[2,4,6,7,9,12,13],[2,4,7,8,10,13,14],[2,5,6,8,9,11,14],[2,5,8,9,10,11,12],[3,4,5,7,11,13,14],[3,4,6,8,11,12,14],[3,4,6,9,10,11,14],[3,5,6,7,8,10,12],[3,5,7,8,10,11,13],[4,5,6,7,9,10,12]]; G[768]:=Group([(1,5,11)(3,8,12)(4,9,10)(6,14,7)]); # Design 769: autom. group order 3, simple, residual B[769]:=[[1,2,3,4,5,6,7],[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],[1,2,7,10,11,12,14],[1,3,5,9,11,12,13],[1,3,7,8,9,12,14],[1,4,5,8,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,9,10,14],[1,5,6,10,12,13,14],[1,6,7,8,9,11,13],[2,3,6,8,12,13,14],[2,3,7,9,10,13,14],[2,4,5,9,10,13,14],[2,4,6,7,9,12,13],[2,4,7,8,11,12,13],[2,5,6,8,9,11,14],[2,5,8,9,10,11,12],[3,4,5,7,11,13,14],[3,4,6,8,10,11,14],[3,4,6,9,11,12,14],[3,5,6,7,9,10,12],[3,5,7,8,10,11,13],[4,5,6,7,8,10,12]]; G[769]:=Group([(1,5,11)(3,9,12)(4,8,10)(6,14,7)]); # Design 770: autom. group order 3, simple, residual B[770]:=[[1,2,3,4,5,6,7],[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],[1,3,7,8,11,12,13],[1,4,5,9,10,12,13],[1,4,6,9,11,12,14],[1,4,7,8,10,13,14],[1,5,6,8,9,10,14],[1,6,7,8,9,11,13],[2,3,6,9,12,13,14],[2,3,8,9,10,11,14],[2,4,5,8,11,13,14],[2,4,6,8,12,13,14],[2,4,7,9,10,11,13],[2,5,6,7,10,12,13],[2,5,7,8,9,11,12],[3,4,5,7,9,13,14],[3,4,6,7,8,9,12],[3,4,6,7,10,11,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,14],[4,5,6,8,10,11,12]]; G[770]:=Group([(1,2,13)(3,6,8)(4,12,7)(5,14,11)]); # Design 771: autom. group order 3, simple, residual B[771]:=[[1,2,3,4,5,6,7],[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],[1,2,8,9,10,11,13],[1,3,5,8,12,13,14],[1,3,7,9,12,13,14],[1,4,5,7,9,10,12],[1,4,6,9,11,12,14],[1,4,7,8,10,11,14],[1,5,6,8,9,11,14],[1,6,7,8,10,12,13],[2,3,6,8,9,10,12],[2,3,7,8,9,11,14],[2,4,5,8,12,13,14],[2,4,6,7,8,12,14],[2,4,7,9,10,13,14],[2,5,6,10,11,12,14],[2,5,7,9,11,12,13],[3,4,5,10,11,13,14],[3,4,6,7,8,11,13],[3,4,6,9,11,12,13],[3,5,6,7,9,10,14],[3,5,7,8,10,11,12],[4,5,6,8,9,10,13]]; G[771]:=Group([(1,4,13)(2,11,14)(5,6,12)(7,9,8)]); # Design 772: autom. group order 3, simple B[772]:=[[1,2,3,4,5,6,7],[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],[1,2,8,9,10,13,14],[1,3,5,8,12,13,14],[1,3,7,8,9,10,11],[1,4,5,7,10,12,14],[1,4,6,9,12,13,14],[1,4,7,8,9,11,13],[1,5,6,9,10,11,12],[1,6,7,8,11,12,14],[2,3,6,8,11,12,13],[2,3,7,9,11,12,14],[2,4,5,8,11,12,14],[2,4,6,8,9,10,12],[2,4,7,10,11,13,14],[2,5,6,7,8,9,14],[2,5,7,9,10,12,13],[3,4,5,9,11,13,14],[3,4,6,7,8,10,14],[3,4,6,7,9,12,13],[3,5,6,9,10,11,14],[3,5,7,8,10,12,13],[4,5,6,8,10,11,13]]; G[772]:=Group([(1,9,13)(2,11,12)(4,14,8)(6,10,7)]); # Design 773: autom. group order 3, simple, residual B[773]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,6,7,11,12],[1,2,8,10,11,13,14],[1,3,5,9,12,13,14],[1,3,7,8,10,12,13],[1,4,5,9,11,13,14],[1,4,6,8,9,12,13],[1,4,7,8,9,10,11],[1,5,6,7,8,10,14],[1,6,7,9,11,12,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,14],[2,4,5,7,8,13,14],[2,4,6,8,11,12,13],[2,4,7,9,10,12,14],[2,5,6,9,10,12,13],[2,5,7,9,10,11,13],[3,4,5,10,11,12,14],[3,4,6,7,9,10,13],[3,4,6,7,11,13,14],[3,5,6,8,9,10,11],[3,5,7,8,11,12,13],[4,5,6,8,10,12,14]]; G[773]:=Group([(1,9,10)(2,14,5)(3,12,6)(4,7,8)]); # Design 774: autom. group order 3, simple B[774]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,11,12,13],[1,3,5,7,9,13,14],[1,3,7,8,10,11,14],[1,4,5,11,12,13,14],[1,4,6,9,10,12,13],[1,4,7,8,9,10,14],[1,5,6,8,10,12,14],[1,6,7,8,9,11,12],[2,3,6,7,9,12,14],[2,3,8,9,10,12,13],[2,4,5,7,8,10,12],[2,4,6,8,9,11,14],[2,4,7,10,11,13,14],[2,5,6,9,10,11,14],[2,5,7,8,12,13,14],[3,4,5,9,11,12,14],[3,4,6,7,8,11,13],[3,4,6,8,12,13,14],[3,5,6,7,10,11,12],[3,5,8,9,10,11,13],[4,5,6,7,9,10,13]]; G[774]:=Group([(1,2,14)(3,6,10)(4,9,8)(5,11,7)]); # Design 775: autom. group order 3, simple, residual B[775]:=[[1,2,3,4,5,6,7],[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],[1,3,7,9,11,13,14],[1,4,5,9,10,13,14],[1,4,6,8,11,12,13],[1,4,7,8,10,11,14],[1,5,6,8,11,12,14],[1,6,7,8,9,10,12],[2,3,6,8,10,13,14],[2,3,7,8,9,11,12],[2,4,5,11,12,13,14],[2,4,6,7,9,11,14],[2,4,8,9,10,12,13],[2,5,6,7,10,12,14],[2,5,7,8,10,11,13],[3,4,5,7,8,12,14],[3,4,6,7,10,11,13],[3,4,6,9,10,12,14],[3,5,6,9,11,12,13],[3,5,8,9,10,11,14],[4,5,6,7,8,9,13]]; G[775]:=Group([(2,8,13)(3,6,14)(4,12,9)(5,11,7)]); # Design 776: autom. group order 3, simple B[776]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,10,12,14],[1,3,5,7,9,12,14],[1,3,7,9,10,11,13],[1,4,5,8,10,11,14],[1,4,6,8,9,12,13],[1,4,9,11,12,13,14],[1,5,6,7,11,12,13],[1,6,7,8,9,10,14],[2,3,6,9,11,12,14],[2,3,7,8,9,11,13],[2,4,5,7,12,13,14],[2,4,6,7,9,10,12],[2,4,7,8,11,13,14],[2,5,6,9,10,13,14],[2,5,8,9,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,10,11,14],[3,4,6,8,10,12,13],[3,5,6,8,11,12,14],[3,5,7,8,10,12,13],[4,5,6,7,8,9,11]]; G[776]:=Group([(1,3,14)(2,6,8)(4,11,10)(5,12,7)]); # Design 777: autom. group order 3, simple B[777]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,12,13,14],[1,3,7,8,10,11,14],[1,4,5,8,10,12,14],[1,4,6,8,9,11,13],[1,4,9,11,12,13,14],[1,5,6,7,9,11,12],[1,6,7,8,9,10,14],[2,3,6,9,11,12,14],[2,3,7,8,9,12,13],[2,4,5,9,10,13,14],[2,4,6,7,10,12,14],[2,4,7,8,11,13,14],[2,5,6,8,11,12,14],[2,5,7,8,9,10,11],[3,4,5,7,9,11,14],[3,4,6,7,10,11,13],[3,4,6,8,9,10,12],[3,5,6,9,10,13,14],[3,5,8,10,11,12,13],[4,5,6,7,8,12,13]]; G[777]:=Group([(1,2,14)(3,6,8)(4,12,10)(5,11,7)]); # Design 778: autom. group order 3, simple, residual B[778]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,9,12,14],[1,3,9,10,11,13,14],[1,4,5,7,11,13,14],[1,4,6,9,10,11,12],[1,4,7,8,11,12,13],[1,5,6,8,9,12,14],[1,6,7,8,9,10,13],[2,3,6,8,11,12,14],[2,3,7,8,9,11,13],[2,4,5,9,10,12,13],[2,4,6,7,12,13,14],[2,4,7,8,9,10,14],[2,5,6,7,9,10,11],[2,5,9,11,12,13,14],[3,4,5,8,10,13,14],[3,4,6,7,9,11,14],[3,4,6,8,9,12,13],[3,5,6,7,10,12,13],[3,5,7,8,10,11,12],[4,5,6,8,10,11,14]]; G[778]:=Group([(1,5,10)(2,7,13)(4,12,14)(8,11,9)]); # Design 779: autom. group order 3, simple B[779]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,9,12,14],[1,3,9,10,11,13,14],[1,4,5,7,11,13,14],[1,4,6,8,9,10,12],[1,4,7,9,11,12,13],[1,5,6,8,11,12,14],[1,6,7,8,9,10,13],[2,3,6,9,11,12,14],[2,3,7,8,9,11,13],[2,4,5,9,10,12,13],[2,4,6,7,12,13,14],[2,4,7,8,10,11,14],[2,5,6,7,9,10,11],[2,5,8,9,12,13,14],[3,4,5,8,10,13,14],[3,4,6,7,8,9,14],[3,4,6,8,11,12,13],[3,5,6,7,10,12,13],[3,5,7,8,10,11,12],[4,5,6,9,10,11,14]]; G[779]:=Group([(1,5,10)(2,7,13)(4,12,14)(8,11,9)]); # Design 780: autom. group order 3, simple B[780]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,9,12,14],[1,3,9,10,11,13,14],[1,4,5,7,11,13,14],[1,4,6,8,10,11,12],[1,4,7,8,9,12,13],[1,5,6,9,11,12,14],[1,6,7,8,9,10,13],[2,3,6,8,9,12,14],[2,3,7,8,9,11,13],[2,4,5,9,10,12,13],[2,4,6,7,12,13,14],[2,4,7,9,10,11,14],[2,5,6,7,9,10,11],[2,5,8,11,12,13,14],[3,4,5,8,10,13,14],[3,4,6,7,8,11,14],[3,4,6,9,11,12,13],[3,5,6,7,10,12,13],[3,5,7,8,10,11,12],[4,5,6,8,9,10,14]]; G[780]:=Group([(1,5,10)(2,7,13)(4,12,14)(8,11,9)]); # Design 781: autom. group order 3, simple B[781]:=[[1,2,3,4,5,6,7],[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],[1,2,7,10,11,13,14],[1,3,5,7,10,12,14],[1,3,8,9,10,11,14],[1,4,5,8,11,12,13],[1,4,6,9,11,12,13],[1,4,7,8,9,12,14],[1,5,6,7,9,11,14],[1,6,7,8,10,12,13],[2,3,6,7,8,11,12],[2,3,7,9,11,12,13],[2,4,5,10,12,13,14],[2,4,6,8,10,11,14],[2,4,7,8,9,13,14],[2,5,6,9,11,12,14],[2,5,7,8,9,10,12],[3,4,5,7,11,13,14],[3,4,6,7,9,10,13],[3,4,6,9,10,12,14],[3,5,6,8,12,13,14],[3,5,8,9,10,11,13],[4,5,6,7,8,10,11]]; G[781]:=Group([(1,2,12)(3,11,4)(5,7,13)(6,9,8)]); # Design 782: autom. group order 3, simple, residual B[782]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,9,10,11],[1,3,5,9,11,12,13],[1,3,7,8,11,12,14],[1,4,5,7,9,10,14],[1,4,6,7,8,12,13],[1,4,7,10,12,13,14],[1,5,6,9,11,12,13],[1,6,8,9,10,11,14],[2,3,6,9,10,12,14],[2,3,7,9,10,12,13],[2,4,5,8,11,12,14],[2,4,6,7,9,11,13],[2,4,8,9,12,13,14],[2,5,6,7,11,12,14],[2,5,7,8,10,11,13],[3,4,5,10,11,13,14],[3,4,6,7,9,11,14],[3,4,6,8,10,11,13],[3,5,6,7,8,10,12],[3,5,7,8,9,13,14],[4,5,6,8,9,10,12]]; G[782]:=Group([(1,11,12)(2,4,10)(5,13,9)(7,8,14)]); # Design 783: autom. group order 3, simple B[783]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,9,12,14],[1,3,5,10,12,13,14],[1,3,7,9,11,12,13],[1,4,5,7,9,10,11],[1,4,6,8,9,13,14],[1,4,7,8,11,13,14],[1,5,6,9,10,12,14],[1,6,7,8,10,11,12],[2,3,6,7,9,11,14],[2,3,7,9,10,13,14],[2,4,5,11,12,13,14],[2,4,6,7,10,12,14],[2,4,8,9,10,12,13],[2,5,6,8,9,11,12],[2,5,7,8,10,11,13],[3,4,5,7,8,12,14],[3,4,6,8,10,11,14],[3,4,6,9,11,12,13],[3,5,6,7,8,12,13],[3,5,8,9,10,11,14],[4,5,6,7,9,10,13]]; G[783]:=Group([(1,7,11)(3,14,5)(4,9,13)(8,10,12)]); # Design 784: autom. group order 3, simple, residual B[784]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,12,13,14],[1,3,5,9,11,12,14],[1,3,7,8,11,12,13],[1,4,5,7,9,10,13],[1,4,6,9,12,13,14],[1,4,7,8,10,11,14],[1,5,6,8,10,12,14],[1,6,7,8,9,10,11],[2,3,6,8,9,10,12],[2,3,7,9,10,11,14],[2,4,5,10,11,13,14],[2,4,6,7,8,9,14],[2,4,8,9,11,12,13],[2,5,6,7,11,12,14],[2,5,7,8,10,12,13],[3,4,5,7,8,12,14],[3,4,6,7,10,12,13],[3,4,6,8,11,13,14],[3,5,6,7,9,11,13],[3,5,8,9,10,13,14],[4,5,6,9,10,11,12]]; G[784]:=Group([(2,8,14)(3,11,12)(4,7,9)(5,10,13)]); # Design 785: autom. group order 3, simple, residual B[785]:=[[1,2,3,4,5,6,7],[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],[1,2,7,11,12,13,14],[1,3,5,9,10,12,14],[1,3,7,8,9,13,14],[1,4,5,7,10,11,13],[1,4,6,8,9,12,13],[1,4,8,9,10,11,14],[1,5,6,7,8,12,14],[1,6,7,9,10,11,12],[2,3,6,7,9,11,14],[2,3,8,9,11,12,13],[2,4,5,7,9,12,14],[2,4,6,8,10,12,14],[2,4,7,8,10,13,14],[2,5,6,9,10,12,13],[2,5,7,8,9,10,11],[3,4,5,11,12,13,14],[3,4,6,7,8,11,12],[3,4,6,7,9,10,13],[3,5,6,8,10,11,14],[3,5,7,8,10,12,13],[4,5,6,9,11,13,14]]; G[785]:=Group([(1,10,11)(2,14,5)(3,8,13)(7,12,9)]); # Design 786: autom. group order 3, simple, residual B[786]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,6,8,13,14],[1,2,7,9,10,11,14],[1,3,5,9,12,13,14],[1,3,7,8,10,12,14],[1,4,5,9,10,12,13],[1,4,6,7,8,10,14],[1,4,7,8,9,11,13],[1,5,6,8,11,12,14],[1,6,7,9,11,12,13],[2,3,6,7,9,13,14],[2,3,8,9,11,12,14],[2,4,5,7,11,12,14],[2,4,6,8,11,12,13],[2,4,8,9,10,13,14],[2,5,6,7,9,10,12],[2,5,7,8,10,12,13],[3,4,5,7,11,13,14],[3,4,6,7,8,9,12],[3,4,6,10,12,13,14],[3,5,6,8,9,10,11],[3,5,7,8,10,11,13],[4,5,6,9,10,11,14]]; G[786]:=Group([(2,9,14)(3,13,8)(4,12,6)(7,10,11)]); # Design 787: autom. group order 3, simple, residual B[787]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,9,11,13],[1,3,5,9,12,13,14],[1,3,7,10,11,12,14],[1,4,5,8,11,13,14],[1,4,6,9,10,12,13],[1,4,7,8,9,12,14],[1,5,6,7,10,13,14],[1,6,7,8,9,10,11],[2,3,6,7,9,11,14],[2,3,7,8,12,13,14],[2,4,5,7,9,10,14],[2,4,6,8,10,12,14],[2,4,9,10,11,13,14],[2,5,6,9,11,12,13],[2,5,7,8,10,12,13],[3,4,5,7,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,11,13,14],[3,5,6,8,9,10,14],[3,5,8,9,10,11,12],[4,5,6,7,8,11,12]]; G[787]:=Group([(1,5,10)(2,9,11)(4,8,12)(6,14,7)]); # Design 788: autom. group order 3, simple, residual B[788]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,10,12,14],[1,3,5,9,11,12,14],[1,3,7,8,11,12,13],[1,4,5,9,10,13,14],[1,4,6,8,12,13,14],[1,4,7,8,10,11,14],[1,5,6,7,9,12,13],[1,6,7,8,9,10,11],[2,3,6,8,9,10,12],[2,3,7,9,11,13,14],[2,4,5,7,10,11,13],[2,4,6,7,8,9,14],[2,4,8,9,11,12,13],[2,5,6,7,11,12,14],[2,5,8,10,12,13,14],[3,4,5,7,8,12,14],[3,4,6,7,10,12,13],[3,4,6,9,11,13,14],[3,5,6,8,10,11,14],[3,5,7,8,9,10,13],[4,5,6,9,10,11,12]]; G[788]:=Group([(1,3,11)(2,14,8)(4,9,7)(5,13,10)]); # Design 789: autom. group order 3, simple, residual B[789]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,11,12,13],[1,3,5,9,10,12,14],[1,3,7,8,10,11,14],[1,4,5,8,12,13,14],[1,4,6,9,11,13,14],[1,4,7,8,9,10,13],[1,5,6,7,11,12,14],[1,6,7,8,9,10,12],[2,3,6,8,9,11,12],[2,3,7,8,9,13,14],[2,4,5,7,10,12,13],[2,4,6,9,10,12,14],[2,4,7,8,11,12,14],[2,5,6,7,8,10,14],[2,5,9,10,11,13,14],[3,4,5,7,9,11,14],[3,4,6,7,10,11,13],[3,4,6,8,12,13,14],[3,5,6,7,9,12,13],[3,5,8,10,11,12,13],[4,5,6,8,9,10,11]]; G[789]:=Group([(1,4,8)(2,14,10)(3,12,7)(5,13,9)]); # Design 790: autom. group order 3, simple B[790]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,11,12,13],[1,3,5,10,11,13,14],[1,3,8,9,12,13,14],[1,4,5,7,9,11,14],[1,4,6,7,8,13,14],[1,4,7,8,10,12,14],[1,5,6,9,10,12,13],[1,6,7,8,9,10,11],[2,3,6,7,9,12,14],[2,3,7,8,10,11,14],[2,4,5,8,12,13,14],[2,4,6,9,11,13,14],[2,4,8,9,10,11,13],[2,5,6,7,8,10,13],[2,5,7,9,10,12,14],[3,4,5,7,9,10,13],[3,4,6,7,11,12,13],[3,4,6,8,9,10,12],[3,5,6,8,9,11,14],[3,5,7,8,11,12,13],[4,5,6,10,11,12,14]]; G[790]:=Group([(2,7,13)(3,4,14)(5,8,10)(9,12,11)]); # Design 791: autom. group order 3, simple B[791]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,12,13,14],[1,3,8,10,11,13,14],[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],[1,6,7,8,9,11,12],[2,3,6,7,10,12,14],[2,3,7,8,9,11,14],[2,4,5,10,11,13,14],[2,4,6,9,12,13,14],[2,4,8,9,11,12,13],[2,5,6,7,8,11,13],[2,5,7,8,10,12,14],[3,4,5,7,8,12,13],[3,4,6,7,9,10,13],[3,4,6,8,10,11,12],[3,5,6,9,11,12,14],[3,5,7,9,10,11,13],[4,5,6,8,9,10,14]]; G[791]:=Group([(2,7,13)(3,4,14)(5,11,8)(9,12,10)]); # Design 792: autom. group order 3, simple, residual B[792]:=[[1,2,3,4,5,6,7],[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],[1,2,7,11,12,13,14],[1,3,5,9,10,13,14],[1,3,8,9,11,12,14],[1,4,5,7,10,11,12],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,5,6,7,8,12,14],[1,6,7,9,10,11,13],[2,3,6,7,9,10,12],[2,3,7,8,9,12,13],[2,4,5,9,11,13,14],[2,4,6,9,11,12,14],[2,4,7,8,10,13,14],[2,5,6,8,10,12,14],[2,5,7,8,9,10,11],[3,4,5,7,12,13,14],[3,4,6,7,8,11,13],[3,4,6,8,10,11,14],[3,5,6,7,9,11,14],[3,5,8,10,11,12,13],[4,5,6,9,10,12,13]]; G[792]:=Group([(1,8,9)(2,10,6)(3,14,12)(5,7,13)]); # Design 793: autom. group order 3, simple, residual B[793]:=[[1,2,3,4,5,6,7],[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],[1,2,8,9,11,12,13],[1,3,5,8,11,12,14],[1,3,7,9,10,13,14],[1,4,5,7,9,12,13],[1,4,6,7,8,11,14],[1,4,7,8,10,11,13],[1,5,6,7,9,10,12],[1,6,8,9,10,12,14],[2,3,6,7,8,9,13],[2,3,7,9,11,12,14],[2,4,5,8,9,10,14],[2,4,6,8,10,12,13],[2,4,7,9,10,11,14],[2,5,6,7,10,11,12],[2,5,7,8,12,13,14],[3,4,5,10,12,13,14],[3,4,6,7,8,12,14],[3,4,6,9,11,12,13],[3,5,6,8,9,10,11],[3,5,7,8,10,11,13],[4,5,6,9,11,13,14]]; G[793]:=Group([(1,5,10)(2,8,13)(4,11,14)(6,9,7)]); # Design 794: autom. group order 3, simple B[794]:=[[1,2,3,4,5,6,7],[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],[1,2,8,9,10,12,13],[1,3,5,9,11,12,14],[1,3,7,9,11,13,14],[1,4,5,7,10,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,11,14],[1,5,6,7,8,12,13],[1,6,7,8,9,11,12],[2,3,6,7,9,10,11],[2,3,7,10,12,13,14],[2,4,5,8,11,12,14],[2,4,6,9,12,13,14],[2,4,7,8,9,11,13],[2,5,6,7,11,12,14],[2,5,7,8,9,10,14],[3,4,5,7,9,12,13],[3,4,6,7,8,10,12],[3,4,6,8,11,13,14],[3,5,6,8,9,10,14],[3,5,8,10,11,12,13],[4,5,6,9,10,11,13]]; G[794]:=Group([(1,5,6)(2,13,7)(3,10,12)(4,11,8)]); # Design 795: autom. group order 3, simple, residual B[795]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,8,12,14],[1,3,7,9,11,12,13],[1,4,5,7,11,13,14],[1,4,6,8,9,12,13],[1,4,8,9,10,11,14],[1,5,6,9,10,12,14],[1,6,7,8,10,12,13],[2,3,7,8,9,10,13],[2,3,8,11,12,13,14],[2,4,5,9,10,12,13],[2,4,6,7,9,13,14],[2,4,6,8,11,12,14],[2,5,6,7,10,11,12],[2,5,7,8,9,12,14],[3,4,5,10,12,13,14],[3,4,6,7,8,10,14],[3,4,6,7,9,11,12],[3,5,6,8,9,10,11],[3,5,6,9,11,13,14],[4,5,7,8,10,11,13]]; G[795]:=Group([(2,6,10)(3,13,14)(4,8,9)(5,12,11)]); # Design 796: autom. group order 3, simple B[796]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,9,11,14],[1,3,7,9,10,12,13],[1,4,5,9,12,13,14],[1,4,6,8,10,11,14],[1,4,7,8,9,11,13],[1,5,6,7,8,10,12],[1,6,8,9,11,12,14],[2,3,7,8,11,12,14],[2,3,8,9,10,11,13],[2,4,5,11,12,13,14],[2,4,6,7,9,10,14],[2,4,6,7,9,11,12],[2,5,6,8,9,12,13],[2,5,7,8,9,10,14],[3,4,5,8,10,12,14],[3,4,6,7,8,12,13],[3,4,6,9,10,13,14],[3,5,6,7,11,13,14],[3,5,6,9,10,11,12],[4,5,7,8,10,11,13]]; G[796]:=Group([(2,6,10)(3,8,12)(4,14,7)(5,11,13)]); # Design 797: autom. group order 3, simple, residual B[797]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,11,13,14],[1,3,7,8,9,12,13],[1,4,5,10,12,13,14],[1,4,6,8,9,11,14],[1,4,7,8,11,12,14],[1,5,6,8,9,10,13],[1,6,7,9,10,11,12],[2,3,7,8,10,12,14],[2,3,8,9,11,13,14],[2,4,5,7,9,12,13],[2,4,6,7,8,11,13],[2,4,6,7,9,10,14],[2,5,6,11,12,13,14],[2,5,8,9,10,11,12],[3,4,5,9,10,11,14],[3,4,6,8,10,12,13],[3,4,6,9,12,13,14],[3,5,6,7,8,10,14],[3,5,6,7,9,11,12],[4,5,7,8,10,11,13]]; G[797]:=Group([(1,8,10)(2,4,7)(3,11,14)(5,13,9)]); # Design 798: autom. group order 3, simple, residual B[798]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,11,13,14],[1,3,5,10,11,13,14],[1,3,8,9,11,12,14],[1,4,5,7,8,12,14],[1,4,6,9,10,12,14],[1,4,7,8,10,11,13],[1,5,6,7,10,11,12],[1,6,7,8,9,12,13],[2,3,7,8,10,12,13],[2,3,7,9,10,12,14],[2,4,5,11,12,13,14],[2,4,6,7,8,11,14],[2,4,6,9,11,12,13],[2,5,6,8,10,12,14],[2,5,7,8,9,10,11],[3,4,5,7,9,12,13],[3,4,6,7,10,13,14],[3,4,6,8,9,10,11],[3,5,6,7,9,11,14],[3,5,6,8,11,12,13],[4,5,8,9,10,13,14]]; G[798]:=Group([(1,10,11)(3,12,4)(5,7,13)(6,8,14)]); # Design 799: autom. group order 3, simple, residual B[799]:=[[1,2,3,4,5,6,7],[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],[1,2,8,10,11,12,14],[1,3,5,8,9,11,14],[1,3,7,9,10,11,13],[1,4,5,7,12,13,14],[1,4,6,8,9,12,14],[1,4,7,9,11,13,14],[1,5,6,7,8,10,13],[1,6,7,8,9,10,12],[2,3,7,8,9,12,13],[2,3,7,8,12,13,14],[2,4,5,7,9,10,12],[2,4,6,8,9,11,13],[2,4,6,9,10,13,14],[2,5,6,7,8,11,14],[2,5,7,9,10,11,14],[3,4,5,8,10,13,14],[3,4,6,7,8,10,11],[3,4,6,7,11,12,14],[3,5,6,9,10,12,14],[3,5,6,9,11,12,13],[4,5,8,10,11,12,13]]; G[799]:=Group([(1,5,6)(2,13,7)(3,12,8)(4,11,10)]); # Design 800: autom. group order 3, simple, residual B[800]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,11,12,13,14],[1,3,6,7,9,12,14],[1,4,5,6,9,12,13],[1,4,7,8,10,13,14],[1,4,8,9,10,12,14],[1,5,7,9,10,11,14],[1,6,7,8,11,12,13],[2,3,7,9,10,12,13],[2,3,8,9,11,13,14],[2,4,5,8,12,13,14],[2,4,6,7,9,11,14],[2,4,6,10,11,12,14],[2,5,6,7,8,12,14],[2,5,7,9,10,12,13],[3,4,5,7,11,13,14],[3,4,6,7,8,10,13],[3,4,7,8,9,11,12],[3,5,6,8,9,10,14],[3,5,6,8,10,11,12],[4,5,6,9,10,11,13]]; G[800]:=Group([(1,6,14)(2,10,13)(4,8,11)(7,9,12)]); # Design 801: autom. group order 3, simple, residual B[801]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,11,13],[1,3,5,7,11,12,13],[1,3,6,8,11,12,14],[1,4,5,6,10,12,14],[1,4,7,8,9,12,14],[1,4,7,10,11,13,14],[1,5,7,8,9,10,11],[1,6,8,9,10,12,13],[2,3,7,10,12,13,14],[2,3,8,9,10,11,14],[2,4,5,8,10,12,13],[2,4,6,7,8,10,11],[2,4,6,9,11,12,13],[2,5,6,7,9,12,14],[2,5,7,8,11,12,14],[3,4,5,9,11,13,14],[3,4,6,7,9,10,14],[3,4,7,8,9,12,13],[3,5,6,7,8,10,13],[3,5,6,9,10,11,12],[4,5,6,8,11,13,14]]; G[801]:=Group([(1,12,13)(2,14,4)(3,7,11)(6,8,9)]); # Design 802: autom. group order 3, simple, residual B[802]:=[[1,2,3,4,5,6,7],[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],[1,2,6,9,11,12,14],[1,3,5,7,11,13,14],[1,3,6,7,10,12,14],[1,4,5,6,8,13,14],[1,4,7,9,10,13,14],[1,4,8,11,12,13,14],[1,5,7,8,9,10,12],[1,6,7,8,9,10,11],[2,3,7,8,9,11,14],[2,3,8,10,12,13,14],[2,4,5,7,10,12,14],[2,4,6,7,8,11,14],[2,4,6,7,9,12,13],[2,5,6,9,10,13,14],[2,5,7,8,10,11,13],[3,4,5,9,10,11,14],[3,4,6,9,10,11,13],[3,4,7,8,9,12,13],[3,5,6,7,11,12,13],[3,5,6,8,9,12,14],[4,5,6,8,10,11,12]]; G[802]:=Group([(1,11,13)(2,7,4)(3,8,9)(5,14,12)]); # Design 803: autom. group order 3, simple, residual B[803]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,12,13],[1,3,5,8,9,10,14],[1,3,6,8,11,12,14],[1,4,5,10,12,13,14],[1,4,6,7,9,12,14],[1,4,6,8,11,13,14],[1,5,7,9,10,11,13],[1,7,8,9,10,11,12],[2,3,7,8,12,13,14],[2,3,9,10,12,13,14],[2,4,5,9,11,12,14],[2,4,6,8,9,10,13],[2,4,7,8,10,11,14],[2,5,6,7,10,11,14],[2,5,6,8,9,11,12],[3,4,5,7,11,12,13],[3,4,6,7,9,10,14],[3,4,7,8,9,11,13],[3,5,6,7,8,10,12],[3,5,6,9,11,13,14],[4,5,6,8,10,12,13]]; G[803]:=Group([(1,2,7)(3,14,9)(4,8,12)(5,13,6)]); # Design 804: autom. group order 3, simple, residual B[804]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,12,13],[1,3,5,8,9,10,14],[1,3,6,8,11,12,14],[1,4,5,11,12,13,14],[1,4,6,7,9,12,14],[1,4,6,8,10,13,14],[1,5,7,9,10,11,13],[1,7,8,9,10,11,12],[2,3,7,8,12,13,14],[2,3,9,10,12,13,14],[2,4,5,9,11,12,14],[2,4,6,8,9,11,13],[2,4,7,8,10,11,14],[2,5,6,7,10,11,14],[2,5,6,8,9,10,12],[3,4,5,7,10,12,13],[3,4,6,7,9,10,14],[3,4,7,8,9,11,13],[3,5,6,7,8,11,12],[3,5,6,9,11,13,14],[4,5,6,8,10,12,13]]; G[804]:=Group([(1,2,7)(3,14,9)(4,8,12)(5,13,6)]); # Design 805: autom. group order 3, simple, residual B[805]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,10,13,14],[1,3,6,7,10,12,14],[1,4,5,11,12,13,14],[1,4,6,7,8,11,13],[1,4,6,9,11,12,14],[1,5,7,8,9,12,13],[1,7,8,9,10,11,14],[2,3,7,8,11,12,14],[2,3,7,9,11,12,13],[2,4,5,7,9,12,14],[2,4,6,9,10,11,13],[2,4,7,8,10,13,14],[2,5,6,8,9,11,14],[2,5,6,10,12,13,14],[3,4,5,8,10,11,14],[3,4,6,7,9,13,14],[3,4,8,9,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,11,12,13],[4,5,6,7,8,10,12]]; G[805]:=Group([(1,3,11)(2,12,4)(5,7,14)(6,8,13)]); # Design 806: autom. group order 3, simple, residual B[806]:=[[1,2,3,4,5,6,7],[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],[1,3,6,7,9,10,11],[1,4,5,7,11,12,14],[1,4,6,8,11,12,14],[1,4,6,9,10,13,14],[1,5,7,8,9,10,14],[1,7,8,9,11,12,13],[2,3,7,8,10,11,14],[2,3,9,11,12,13,14],[2,4,5,7,11,13,14],[2,4,6,9,10,12,14],[2,4,7,8,9,10,12],[2,5,6,7,10,12,13],[2,5,6,8,9,11,14],[3,4,5,8,9,12,13],[3,4,6,7,9,11,13],[3,4,7,8,10,13,14],[3,5,6,7,9,12,14],[3,5,6,8,10,11,12],[4,5,6,8,10,11,13]]; G[806]:=Group([(1,2,12)(3,10,11)(5,9,14)(6,7,8)]); # Design 807: autom. group order 3, simple, residual B[807]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,9,11,13],[1,2,6,7,9,12,14],[1,3,5,10,11,13,14],[1,3,6,7,8,12,14],[1,4,5,8,11,12,14],[1,4,6,9,11,12,13],[1,4,7,8,10,13,14],[1,5,6,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,9,10,11,14],[2,3,8,9,12,13,14],[2,4,5,9,10,12,14],[2,4,6,7,11,13,14],[2,4,6,8,10,11,14],[2,5,6,8,11,12,13],[2,5,7,8,10,12,13],[3,4,5,7,12,13,14],[3,4,6,9,10,12,13],[3,4,7,8,9,11,13],[3,5,6,7,10,11,12],[3,5,6,8,9,11,14],[4,5,6,7,8,9,10]]; G[807]:=Group([(1,2,13)(3,8,10)(4,12,14)(7,11,9)]); # Design 808: autom. group order 3, simple B[808]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,7,8,12,14],[1,3,5,10,12,13,14],[1,3,6,7,9,11,14],[1,4,5,9,11,12,14],[1,4,6,9,10,13,14],[1,4,7,8,10,11,12],[1,5,6,8,9,11,13],[1,7,8,9,10,12,13],[2,3,7,9,11,12,13],[2,3,8,9,10,11,14],[2,4,5,8,12,13,14],[2,4,6,7,9,12,13],[2,4,6,10,11,13,14],[2,5,6,9,10,11,12],[2,5,7,8,9,10,14],[3,4,5,7,9,10,13],[3,4,6,8,9,12,14],[3,4,7,8,11,13,14],[3,5,6,7,10,12,14],[3,5,6,8,11,12,13],[4,5,6,7,8,10,11]]; G[808]:=Group([(1,7,11)(2,13,5)(3,9,6)(4,12,8)]); # Design 809: autom. group order 3, simple B[809]:=[[1,2,3,4,5,6,7],[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],[1,3,5,10,12,13,14],[1,3,6,7,9,10,11],[1,4,5,9,11,12,14],[1,4,6,9,10,13,14],[1,4,7,8,11,12,14],[1,5,6,8,9,11,13],[1,7,8,9,10,12,13],[2,3,7,9,11,12,13],[2,3,8,9,10,11,14],[2,4,5,8,10,12,13],[2,4,6,7,9,12,13],[2,4,6,10,11,13,14],[2,5,6,9,11,12,14],[2,5,7,8,9,10,14],[3,4,5,7,9,13,14],[3,4,6,8,9,10,12],[3,4,7,8,11,13,14],[3,5,6,7,10,12,14],[3,5,6,8,11,12,13],[4,5,6,7,8,10,11]]; G[809]:=Group([(1,7,11)(2,13,5)(3,9,6)(4,12,8)]); # Design 810: autom. group order 3, simple, residual B[810]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,9,11,13],[1,2,6,7,9,12,14],[1,3,5,10,11,13,14],[1,3,6,8,11,12,14],[1,4,5,7,8,12,14],[1,4,6,9,11,12,13],[1,4,7,8,10,13,14],[1,5,6,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,9,10,11,14],[2,3,8,9,12,13,14],[2,4,5,10,11,12,14],[2,4,6,7,11,13,14],[2,4,6,8,9,10,14],[2,5,6,8,11,12,13],[2,5,7,8,10,12,13],[3,4,5,9,12,13,14],[3,4,6,7,10,12,13],[3,4,7,8,9,11,13],[3,5,6,7,8,11,14],[3,5,6,7,9,10,12],[4,5,6,8,9,10,11]]; G[810]:=Group([(1,2,13)(3,8,10)(4,12,14)(7,11,9)]); # Design 811: autom. group order 3, simple, residual B[811]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,10,11,13,14],[1,3,6,8,9,12,14],[1,4,5,8,11,12,14],[1,4,6,7,9,12,13],[1,4,7,8,10,13,14],[1,5,6,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,9,10,11,14],[2,3,8,9,12,13,14],[2,4,5,9,10,12,14],[2,4,6,7,8,10,14],[2,4,6,9,11,13,14],[2,5,6,8,11,12,13],[2,5,7,8,10,12,13],[3,4,5,7,12,13,14],[3,4,6,10,11,12,13],[3,4,7,8,9,11,13],[3,5,6,7,8,11,14],[3,5,6,7,9,10,12],[4,5,6,8,9,10,11]]; G[811]:=Group([(1,2,13)(3,8,10)(4,12,14)(7,11,9)]); # Design 812: autom. group order 3, simple, residual B[812]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,12,13,14],[1,3,6,7,9,11,13],[1,4,5,7,8,10,14],[1,4,6,7,11,12,14],[1,4,8,10,11,13,14],[1,5,6,9,10,11,12],[1,7,8,9,10,12,13],[2,3,7,8,12,13,14],[2,3,7,9,10,11,14],[2,4,5,9,10,12,13],[2,4,6,7,10,12,13],[2,4,6,8,9,11,13],[2,5,6,8,11,12,14],[2,5,7,9,10,11,14],[3,4,5,11,12,13,14],[3,4,6,8,9,10,14],[3,4,7,8,9,11,12],[3,5,6,7,8,10,12],[3,5,6,8,10,11,13],[4,5,6,7,9,13,14]]; G[812]:=Group([(1,6,13)(2,10,14)(4,8,12)(7,11,9)]); # Design 813: autom. group order 3, simple, residual B[813]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,9,11,13],[1,2,6,9,11,12,14],[1,3,5,10,11,13,14],[1,3,6,7,8,12,14],[1,4,5,8,9,12,14],[1,4,6,7,11,12,13],[1,4,7,8,10,13,14],[1,5,6,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,9,10,11,14],[2,3,8,9,12,13,14],[2,4,5,7,10,12,14],[2,4,6,7,9,13,14],[2,4,6,8,10,11,14],[2,5,6,8,11,12,13],[2,5,7,8,10,12,13],[3,4,5,11,12,13,14],[3,4,6,9,10,12,13],[3,4,7,8,9,11,13],[3,5,6,7,8,11,14],[3,5,6,7,9,10,12],[4,5,6,8,9,10,11]]; G[813]:=Group([(1,2,13)(3,8,10)(4,12,14)(7,11,9)]); # Design 814: autom. group order 3, simple, residual B[814]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,9,11,14],[1,2,6,8,9,12,14],[1,3,5,10,12,13,14],[1,3,6,7,11,12,13],[1,4,5,9,11,12,13],[1,4,6,7,8,11,14],[1,4,7,8,10,13,14],[1,5,6,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,9,10,12,14],[2,3,8,9,11,13,14],[2,4,5,7,12,13,14],[2,4,6,7,9,10,13],[2,4,6,10,11,12,14],[2,5,6,8,11,12,13],[2,5,7,8,10,11,13],[3,4,5,8,10,11,14],[3,4,6,9,11,13,14],[3,4,7,8,9,12,13],[3,5,6,7,8,12,14],[3,5,6,7,9,10,11],[4,5,6,8,9,10,12]]; G[814]:=Group([(1,2,13)(3,8,10)(4,11,14)(7,12,9)]); # Design 815: autom. group order 3, simple, residual B[815]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,12],[1,2,6,9,11,12,13],[1,3,5,9,11,13,14],[1,3,6,8,12,13,14],[1,4,5,7,10,13,14],[1,4,6,7,8,11,14],[1,4,7,9,10,12,14],[1,5,6,8,9,10,12],[1,7,8,9,10,11,13],[2,3,7,8,9,10,13],[2,3,7,10,11,12,14],[2,4,5,9,11,13,14],[2,4,6,7,9,12,13],[2,4,6,8,9,10,14],[2,5,6,8,10,11,14],[2,5,7,8,12,13,14],[3,4,5,8,10,12,13],[3,4,6,7,8,11,13],[3,4,8,9,11,12,14],[3,5,6,7,9,10,11],[3,5,6,7,9,12,14],[4,5,6,10,11,12,13]]; G[815]:=Group([(2,7,13)(3,4,14)(5,10,6)(8,9,12)]); # Design 816: autom. group order 3, simple, residual B[816]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,12],[1,2,6,8,9,11,13],[1,3,5,9,11,13,14],[1,3,6,8,12,13,14],[1,4,5,7,10,13,14],[1,4,6,7,9,12,14],[1,4,7,8,10,11,14],[1,5,6,9,10,11,12],[1,7,8,9,10,12,13],[2,3,7,8,9,10,14],[2,3,7,10,11,12,13],[2,4,5,8,12,13,14],[2,4,6,7,9,12,13],[2,4,6,9,10,11,14],[2,5,6,8,10,12,14],[2,5,7,9,11,13,14],[3,4,5,9,10,12,13],[3,4,6,7,8,11,13],[3,4,8,9,11,12,14],[3,5,6,7,8,9,10],[3,5,6,7,11,12,14],[4,5,6,8,10,11,13]]; G[816]:=Group([(2,7,13)(3,4,14)(5,10,6)(9,11,12)]); # Design 817: autom. group order 3, simple, residual B[817]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,8,9,10,14],[1,3,5,8,12,13,14],[1,3,6,9,11,12,13],[1,4,5,9,11,12,14],[1,4,6,7,9,13,14],[1,4,7,8,10,12,14],[1,5,6,7,10,11,12],[1,7,8,9,10,11,13],[2,3,7,8,11,12,14],[2,3,7,9,10,11,14],[2,4,5,9,10,11,13],[2,4,6,7,8,9,12],[2,4,6,11,12,13,14],[2,5,6,8,10,12,13],[2,5,7,9,12,13,14],[3,4,5,7,10,13,14],[3,4,6,7,8,11,13],[3,4,8,9,10,12,13],[3,5,6,7,9,10,12],[3,5,6,8,9,11,14],[4,5,6,8,10,11,14]]; G[817]:=Group([(1,5,7)(2,6,11)(3,10,8)(4,12,13)]); # Design 818: autom. group order 3, simple, residual B[818]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,8,11,14],[1,3,5,10,11,13,14],[1,3,6,7,9,12,13],[1,4,5,7,11,12,13],[1,4,6,8,9,12,14],[1,4,7,8,10,13,14],[1,5,6,9,10,13,14],[1,7,8,9,10,11,12],[2,3,7,9,10,11,14],[2,3,8,9,12,13,14],[2,4,5,7,9,13,14],[2,4,6,7,10,12,14],[2,4,6,9,10,11,13],[2,5,6,8,11,12,13],[2,5,7,8,10,12,13],[3,4,5,8,10,12,14],[3,4,6,11,12,13,14],[3,4,7,8,9,11,13],[3,5,6,7,8,11,14],[3,5,6,7,9,10,12],[4,5,6,8,9,10,11]]; G[818]:=Group([(1,2,13)(3,8,10)(4,12,14)(7,11,9)]); # Design 819: autom. group order 3, simple, residual B[819]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,8,10,12,14],[1,3,6,7,8,9,11],[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],[2,3,7,9,10,12,13],[2,3,8,11,12,13,14],[2,4,5,6,11,13,14],[2,4,6,8,9,12,14],[2,4,7,8,9,10,13],[2,5,6,7,10,11,12],[2,5,7,8,9,11,14],[3,4,5,7,12,13,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,14],[3,5,6,8,9,12,13],[3,5,6,9,10,11,13],[4,5,6,7,8,10,12]]; G[819]:=Group([(1,3,11)(2,10,12)(5,14,13)(6,9,7)]); # Design 820: autom. group order 3, simple, residual B[820]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,9,13,14],[1,3,5,10,11,13,14],[1,3,6,8,9,12,14],[1,4,5,7,9,12,14],[1,4,6,10,11,12,14],[1,4,7,9,10,13,14],[1,5,7,8,9,10,11],[1,6,7,8,11,12,13],[2,3,7,8,10,12,14],[2,3,7,9,11,13,14],[2,4,5,6,12,13,14],[2,4,6,8,9,10,11],[2,4,7,9,11,12,13],[2,5,6,9,10,11,14],[2,5,7,8,10,12,14],[3,4,5,8,11,13,14],[3,4,6,7,8,11,14],[3,4,8,9,10,12,13],[3,5,6,7,9,11,12],[3,5,6,9,10,12,13],[4,5,6,7,8,10,13]]; G[820]:=Group([(1,9,11)(2,12,14)(4,6,13)(7,10,8)]); # Design 821: autom. group order 3, simple, residual B[821]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,9,13,14],[1,3,5,10,11,13,14],[1,3,6,8,9,12,14],[1,4,5,7,9,12,13],[1,4,6,10,11,12,14],[1,4,7,8,10,13,14],[1,5,7,8,9,10,11],[1,6,7,9,11,12,13],[2,3,7,8,11,13,14],[2,3,7,9,10,12,14],[2,4,5,6,12,13,14],[2,4,6,8,9,10,11],[2,4,7,8,11,12,13],[2,5,6,9,10,11,13],[2,5,7,9,10,12,14],[3,4,5,9,11,13,14],[3,4,6,7,9,11,14],[3,4,8,9,10,12,13],[3,5,6,7,8,11,12],[3,5,6,8,10,12,13],[4,5,6,7,8,10,14]]; G[821]:=Group([(1,8,11)(2,12,14)(4,6,13)(7,10,9)]); # Design 822: autom. group order 3, simple B[822]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,8,11,12,14],[1,3,6,7,9,10,12],[1,4,5,9,10,11,14],[1,4,6,8,11,12,13],[1,4,7,8,10,11,13],[1,5,9,10,12,13,14],[1,6,7,8,9,12,14],[2,3,7,8,11,12,14],[2,3,8,9,10,12,13],[2,4,5,6,12,13,14],[2,4,6,9,11,12,14],[2,4,7,8,9,10,14],[2,5,6,8,9,10,11],[2,5,7,10,11,12,13],[3,4,5,7,9,12,13],[3,4,6,8,10,13,14],[3,4,7,9,11,13,14],[3,5,6,7,10,11,14],[3,5,6,8,9,11,13],[4,5,6,7,8,10,12]]; G[822]:=Group([(1,3,6)(2,10,7)(4,14,9)(5,13,12)]); # Design 823: autom. group order 3, simple, residual B[823]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,10,12,14],[1,3,6,7,8,9,11],[1,4,5,9,10,13,14],[1,4,6,9,11,12,13],[1,4,7,8,11,12,13],[1,5,8,9,11,12,14],[1,6,7,8,10,13,14],[2,3,7,11,12,13,14],[2,3,8,9,10,12,13],[2,4,5,6,11,13,14],[2,4,6,7,9,12,14],[2,4,7,8,9,10,13],[2,5,6,8,10,11,12],[2,5,7,8,9,11,14],[3,4,5,8,12,13,14],[3,4,6,8,10,11,14],[3,4,7,9,10,11,14],[3,5,6,7,9,12,13],[3,5,6,9,10,11,13],[4,5,6,7,8,10,12]]; G[823]:=Group([(1,3,11)(2,10,12)(5,14,13)(6,9,8)]); # Design 824: autom. group order 3, simple B[824]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,10,13,14],[1,2,6,8,9,11,13],[1,3,5,7,8,11,12],[1,3,6,8,12,13,14],[1,4,5,9,12,13,14],[1,4,6,7,9,10,12],[1,4,8,9,10,11,13],[1,5,7,8,10,11,14],[1,6,7,9,11,12,14],[2,3,7,8,9,12,13],[2,3,9,10,11,12,14],[2,4,5,6,9,11,14],[2,4,6,7,8,12,14],[2,4,7,8,11,13,14],[2,5,6,8,10,11,12],[2,5,7,9,10,12,13],[3,4,5,11,12,13,14],[3,4,6,7,10,11,13],[3,4,7,8,9,10,14],[3,5,6,7,9,11,13],[3,5,6,8,9,10,14],[4,5,6,8,10,12,13]]; G[824]:=Group([(1,7,13)(2,14,5)(3,8,12)(6,11,9)]); # Design 825: autom. group order 3, simple B[825]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,11,12,14],[1,4,5,7,8,12,14],[1,4,6,8,9,12,13],[1,4,8,9,10,11,14],[1,5,7,9,11,13,14],[1,6,7,8,10,12,13],[2,3,7,8,9,10,13],[2,3,8,11,12,13,14],[2,4,5,6,11,13,14],[2,4,6,7,10,12,14],[2,4,7,9,12,13,14],[2,5,6,8,9,10,14],[2,5,7,8,9,11,12],[3,4,5,9,10,12,13],[3,4,6,7,9,11,13],[3,4,7,8,10,11,14],[3,5,6,7,8,11,12],[3,5,6,9,10,12,14],[4,5,6,8,10,11,13]]; G[825]:=Group([(1,4,8)(2,11,13)(3,10,6)(5,14,12)]); # Design 826: autom. group order 3, simple, residual B[826]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,10,12,14],[1,3,6,7,8,9,11],[1,4,5,7,10,13,14],[1,4,6,8,11,12,13],[1,4,7,9,11,12,13],[1,5,7,8,11,12,14],[1,6,8,9,10,13,14],[2,3,7,8,10,12,13],[2,3,9,11,12,13,14],[2,4,5,6,11,13,14],[2,4,6,7,9,12,14],[2,4,7,8,9,10,13],[2,5,6,8,10,11,12],[2,5,7,8,9,11,14],[3,4,5,8,12,13,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,14],[3,5,6,7,9,12,13],[3,5,6,7,10,11,13],[4,5,6,8,9,10,12]]; G[826]:=Group([(1,3,11)(2,10,12)(5,14,13)(6,7,8)]); # Design 827: autom. group order 3, simple B[827]:=[[1,2,3,4,5,6,7],[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],[1,3,6,7,11,12,14],[1,4,5,7,8,12,14],[1,4,6,8,9,12,13],[1,4,8,9,10,11,14],[1,5,7,9,11,13,14],[1,6,7,8,10,12,13],[2,3,7,8,9,10,13],[2,3,8,11,12,13,14],[2,4,5,6,11,13,14],[2,4,6,9,10,12,14],[2,4,7,9,12,13,14],[2,5,6,7,8,10,14],[2,5,7,8,9,11,12],[3,4,5,7,10,12,13],[3,4,6,7,9,11,13],[3,4,7,8,10,11,14],[3,5,6,8,9,11,12],[3,5,6,9,10,12,14],[4,5,6,8,10,11,13]]; G[827]:=Group([(1,4,8)(2,11,13)(3,10,6)(5,14,12)]); # Design 828: autom. group order 3, simple, residual B[828]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,8,9,12,13],[1,4,5,7,11,12,13],[1,4,6,7,10,12,14],[1,4,7,8,9,10,13],[1,5,7,8,10,11,14],[1,6,8,9,11,12,14],[2,3,7,8,12,13,14],[2,3,7,9,10,11,14],[2,4,5,6,8,12,14],[2,4,6,8,9,10,11],[2,4,7,9,12,13,14],[2,5,6,10,11,12,13],[2,5,7,8,9,10,12],[3,4,5,9,11,13,14],[3,4,6,7,8,11,14],[3,4,8,10,11,12,13],[3,5,6,7,8,10,13],[3,5,6,7,9,11,12],[4,5,6,9,10,13,14]]; G[828]:=Group([(1,4,14)(2,9,11)(3,13,8)(6,10,7)]); # Design 829: autom. group order 3, simple, residual B[829]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,9,12,14],[1,3,5,7,11,12,14],[1,3,6,10,11,13,14],[1,4,5,9,10,12,14],[1,4,6,7,9,11,13],[1,4,7,8,10,13,14],[1,5,7,8,10,12,13],[1,6,7,8,9,11,12],[2,3,7,9,10,12,13],[2,3,7,9,12,13,14],[2,4,5,6,7,13,14],[2,4,6,10,11,12,14],[2,4,7,8,9,10,11],[2,5,6,8,11,12,13],[2,5,7,8,10,11,14],[3,4,5,8,11,12,13],[3,4,6,7,8,12,14],[3,4,8,9,11,13,14],[3,5,6,7,9,10,11],[3,5,6,8,9,10,14],[4,5,6,9,10,12,13]]; G[829]:=Group([(1,5,11)(2,13,9)(3,12,7)(4,8,6)]); # Design 830: autom. group order 3, simple, residual B[830]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,9,11,12],[1,3,5,7,10,11,13],[1,3,6,10,12,13,14],[1,4,5,9,11,12,13],[1,4,6,7,9,10,14],[1,4,7,8,12,13,14],[1,5,7,8,11,12,14],[1,6,7,8,9,10,11],[2,3,7,9,11,12,14],[2,3,7,9,11,13,14],[2,4,5,6,7,12,14],[2,4,6,10,11,12,13],[2,4,7,8,9,10,13],[2,5,6,8,10,11,14],[2,5,7,8,10,12,13],[3,4,5,8,10,11,14],[3,4,6,7,8,11,13],[3,4,8,9,10,12,14],[3,5,6,7,9,10,12],[3,5,6,8,9,12,13],[4,5,6,9,11,13,14]]; G[830]:=Group([(1,5,10)(2,14,9)(3,11,7)(4,8,6)]); # Design 831: autom. group order 3, simple, residual B[831]:=[[1,2,3,4,5,6,7],[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],[1,2,6,9,10,12,14],[1,3,5,7,9,12,14],[1,3,6,10,11,13,14],[1,4,5,11,12,13,14],[1,4,6,7,8,10,12],[1,4,7,8,11,12,13],[1,5,7,8,9,10,13],[1,6,7,8,9,11,14],[2,3,7,8,12,13,14],[2,3,7,9,11,12,13],[2,4,5,6,7,11,14],[2,4,6,8,9,11,13],[2,4,8,9,10,12,14],[2,5,6,7,10,12,13],[2,5,7,8,10,11,14],[3,4,5,8,10,13,14],[3,4,6,7,9,10,13],[3,4,7,9,10,11,14],[3,5,6,8,9,11,12],[3,5,6,8,10,11,12],[4,5,6,9,12,13,14]]; G[831]:=Group([(1,7,14)(2,13,4)(3,12,5)(6,8,11)]); # Design 832: autom. group order 3, simple, residual B[832]:=[[1,2,3,4,5,6,7],[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],[1,2,6,9,10,12,14],[1,3,5,7,10,12,14],[1,3,6,9,11,13,14],[1,4,5,11,12,13,14],[1,4,6,7,8,9,12],[1,4,7,8,11,12,13],[1,5,7,8,9,10,13],[1,6,7,8,10,11,14],[2,3,7,8,12,13,14],[2,3,7,9,11,12,13],[2,4,5,6,7,11,14],[2,4,6,8,10,11,13],[2,4,8,9,10,12,14],[2,5,6,7,10,12,13],[2,5,7,8,9,11,14],[3,4,5,8,10,13,14],[3,4,6,7,9,10,13],[3,4,7,9,10,11,14],[3,5,6,8,9,11,12],[3,5,6,8,10,11,12],[4,5,6,9,12,13,14]]; G[832]:=Group([(1,7,14)(2,13,4)(3,12,5)(6,8,11)]); # Design 833: autom. group order 3, simple, residual B[833]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,12,13,14],[1,3,6,8,10,12,14],[1,4,5,7,8,12,14],[1,4,6,9,11,12,13],[1,4,7,9,11,13,14],[1,5,7,8,10,11,13],[1,6,7,8,9,10,12],[2,3,7,8,9,11,12],[2,3,8,11,12,13,14],[2,4,5,6,10,12,13],[2,4,7,8,9,10,14],[2,4,7,10,12,13,14],[2,5,6,7,9,11,12],[2,5,6,8,9,13,14],[3,4,5,9,10,11,14],[3,4,6,7,8,11,13],[3,4,6,8,9,10,13],[3,5,6,7,10,11,14],[3,5,7,9,10,12,13],[4,5,6,8,11,12,14]]; G[833]:=Group([(1,10,11)(3,4,12)(5,13,8)(6,14,9)]); # Design 834: autom. group order 3, simple, residual B[834]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,12,14],[1,3,5,9,10,13,14],[1,3,6,8,11,12,14],[1,4,5,9,10,12,14],[1,4,6,7,8,12,13],[1,4,8,9,11,12,13],[1,5,7,8,10,11,13],[1,6,7,9,10,11,14],[2,3,7,8,9,11,14],[2,3,8,10,12,13,14],[2,4,5,6,11,13,14],[2,4,7,8,9,10,11],[2,4,7,10,12,13,14],[2,5,6,8,9,10,12],[2,5,6,9,11,12,13],[3,4,5,7,11,12,14],[3,4,6,7,9,10,13],[3,4,6,8,9,13,14],[3,5,6,7,8,10,12],[3,5,7,9,11,12,13],[4,5,6,8,10,11,14]]; G[834]:=Group([(2,9,13)(3,14,8)(4,10,7)(6,12,11)]); # Design 835: autom. group order 3, simple, residual B[835]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,9,10,12],[1,3,6,9,12,13,14],[1,4,5,11,12,13,14],[1,4,6,7,8,11,12],[1,4,8,9,10,11,13],[1,5,7,9,10,11,14],[1,6,7,8,10,12,14],[2,3,7,9,11,12,13],[2,3,8,10,11,12,14],[2,4,5,6,10,11,14],[2,4,7,8,9,12,14],[2,4,7,9,10,13,14],[2,5,6,7,11,12,13],[2,5,6,8,9,10,12],[3,4,5,8,12,13,14],[3,4,6,7,8,10,13],[3,4,6,7,9,11,14],[3,5,6,8,9,11,14],[3,5,7,8,10,11,13],[4,5,6,9,10,12,13]]; G[835]:=Group([(1,7,13)(2,14,5)(3,9,12)(6,10,11)]); # Design 836: autom. group order 3, simple, residual B[836]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,13,14],[1,2,6,8,9,11,12],[1,3,5,9,11,12,13],[1,3,6,7,8,11,14],[1,4,5,9,12,13,14],[1,4,6,8,10,11,13],[1,4,7,9,10,11,14],[1,5,7,8,10,12,14],[1,6,7,9,10,12,13],[2,3,7,8,9,10,12],[2,3,7,11,12,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,10,13],[2,4,8,11,12,13,14],[2,5,6,7,9,11,13],[2,5,6,9,10,11,14],[3,4,5,7,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,9,13,14],[3,5,6,8,10,12,13],[3,5,8,9,10,11,14],[4,5,6,7,8,11,12]]; G[836]:=Group([(2,9,14)(3,12,7)(4,13,8)(6,11,10)]); # Design 837: autom. group order 3, simple, residual B[837]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,11,12,14],[1,3,6,8,9,13,14],[1,4,5,7,10,13,14],[1,4,6,7,9,11,13],[1,4,8,9,10,12,14],[1,5,7,8,10,12,13],[1,6,7,8,9,11,12],[2,3,7,9,10,12,13],[2,3,7,9,12,13,14],[2,4,5,6,9,12,14],[2,4,7,8,9,10,11],[2,4,7,8,11,13,14],[2,5,6,7,8,10,14],[2,5,6,8,11,12,13],[3,4,5,8,11,12,13],[3,4,6,7,8,12,14],[3,4,6,10,11,13,14],[3,5,6,7,9,10,11],[3,5,8,9,10,11,14],[4,5,6,9,10,12,13]]; G[837]:=Group([(1,5,11)(2,13,9)(3,12,7)(4,8,6)]); # Design 838: autom. group order 3, simple, residual B[838]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,9,12,14],[1,4,5,7,12,13,14],[1,4,6,7,9,10,14],[1,4,8,9,11,12,13],[1,5,7,8,11,12,14],[1,6,7,8,9,10,11],[2,3,7,9,11,12,14],[2,3,7,9,11,13,14],[2,4,5,6,9,11,12],[2,4,7,8,9,10,13],[2,4,7,8,10,12,14],[2,5,6,7,8,12,13],[2,5,6,8,10,11,14],[3,4,5,8,10,11,14],[3,4,6,7,8,11,13],[3,4,6,10,12,13,14],[3,5,6,7,9,10,12],[3,5,8,9,10,12,13],[4,5,6,9,11,13,14]]; G[838]:=Group([(1,5,10)(2,14,9)(3,11,7)(4,8,6)]); # Design 839: autom. group order 3, simple, residual B[839]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,12,13,14],[1,3,6,7,9,11,13],[1,4,5,7,10,12,14],[1,4,7,8,9,10,13],[1,4,8,10,11,13,14],[1,5,6,9,10,11,12],[1,6,7,8,11,12,14],[2,3,7,8,12,13,14],[2,3,7,9,10,11,14],[2,4,5,6,8,11,14],[2,4,6,7,10,12,13],[2,4,6,9,11,12,13],[2,5,7,9,10,11,14],[2,5,8,9,10,12,13],[3,4,5,11,12,13,14],[3,4,6,8,9,10,14],[3,4,7,8,9,11,12],[3,5,6,7,8,10,12],[3,5,6,8,10,11,13],[4,5,6,7,9,13,14]]; G[839]:=Group([(1,6,13)(2,10,14)(4,8,12)(7,11,9)]); # Design 840: autom. group order 3, simple, residual B[840]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,11,12,13,14],[1,3,6,7,9,11,13],[1,4,5,9,10,12,14],[1,4,7,8,10,13,14],[1,4,8,9,10,11,13],[1,5,6,7,9,10,12],[1,6,7,8,11,12,14],[2,3,7,9,10,11,14],[2,3,8,9,12,13,14],[2,4,5,6,8,11,14],[2,4,6,7,9,12,13],[2,4,6,10,11,12,13],[2,5,7,8,10,12,13],[2,5,7,9,10,11,14],[3,4,5,7,12,13,14],[3,4,6,7,8,10,14],[3,4,7,8,9,11,12],[3,5,6,8,9,10,13],[3,5,6,8,10,11,12],[4,5,6,9,11,13,14]]; G[840]:=Group([(1,6,13)(2,10,14)(4,8,12)(7,9,11)]); # Design 841: autom. group order 3, simple, residual B[841]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,9,11,14],[1,2,6,9,11,12,13],[1,3,5,9,10,12,14],[1,3,6,8,11,13,14],[1,4,5,7,10,13,14],[1,4,7,10,11,12,13],[1,4,8,9,12,13,14],[1,5,6,7,8,11,12],[1,6,7,8,9,10,14],[2,3,7,8,10,12,14],[2,3,7,9,11,13,14],[2,4,5,6,12,13,14],[2,4,6,7,8,12,14],[2,4,6,9,10,11,14],[2,5,7,8,10,11,13],[2,5,8,9,10,12,13],[3,4,5,8,11,13,14],[3,4,6,7,9,10,13],[3,4,7,8,9,11,12],[3,5,6,7,9,12,13],[3,5,6,10,11,12,14],[4,5,6,8,9,10,11]]; G[841]:=Group([(1,8,12)(2,10,3)(4,13,14)(6,7,11)]); # Design 842: autom. group order 3, simple, residual B[842]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,13,14],[1,2,6,7,8,9,11],[1,3,5,10,11,13,14],[1,3,6,7,8,12,13],[1,4,5,7,11,12,14],[1,4,7,8,10,11,13],[1,4,7,9,12,13,14],[1,5,6,9,10,11,12],[1,6,8,9,10,12,14],[2,3,7,8,11,12,14],[2,3,7,9,10,12,13],[2,4,5,6,12,13,14],[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],[3,4,5,8,9,10,12],[3,4,6,7,9,10,14],[3,4,8,9,11,13,14],[3,5,6,7,9,11,14],[3,5,6,8,11,12,13],[4,5,6,7,8,10,13]]; G[842]:=Group([(1,3,9)(2,4,8)(6,10,14)(7,12,13)]); # Design 843: autom. group order 3, simple, residual B[843]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,7,8,11,14],[1,4,5,11,12,13,14],[1,4,7,8,10,12,14],[1,4,7,9,11,13,14],[1,5,6,9,10,11,12],[1,6,7,8,9,10,13],[2,3,7,9,10,11,14],[2,3,8,11,12,13,14],[2,4,5,6,7,13,14],[2,4,6,7,9,11,12],[2,4,6,8,10,12,13],[2,5,7,8,10,11,13],[2,5,7,9,10,12,14],[3,4,5,8,9,10,14],[3,4,6,9,10,11,13],[3,4,7,8,9,12,13],[3,5,6,7,8,11,12],[3,5,6,9,12,13,14],[4,5,6,8,10,11,14]]; G[843]:=Group([(1,3,9)(2,4,8)(6,10,13)(7,14,11)]); # Design 844: autom. group order 3, simple B[844]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,9,11,12],[1,2,6,7,11,13,14],[1,3,5,9,10,13,14],[1,3,6,7,9,12,14],[1,4,5,8,11,13,14],[1,4,7,8,11,12,13],[1,4,7,9,10,13,14],[1,5,6,8,10,12,14],[1,6,8,9,10,11,12],[2,3,7,8,10,11,14],[2,3,9,11,12,13,14],[2,4,5,6,12,13,14],[2,4,6,8,9,12,14],[2,4,7,8,9,10,14],[2,5,6,9,10,11,13],[2,5,7,8,10,12,13],[3,4,5,10,11,12,14],[3,4,6,7,10,12,13],[3,4,6,8,9,11,13],[3,5,6,7,8,11,14],[3,5,7,8,9,12,13],[4,5,6,7,9,10,11]]; G[844]:=Group([(1,11,12)(2,9,7)(3,6,13)(4,10,8)]); # Design 845: autom. group order 3, simple, residual B[845]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,11,12,13],[1,4,5,8,10,12,14],[1,4,7,8,9,11,14],[1,4,9,10,12,13,14],[1,5,6,7,10,12,13],[1,6,7,8,9,11,12],[2,3,7,8,10,12,14],[2,3,7,9,12,13,14],[2,4,5,6,11,12,14],[2,4,6,8,9,10,13],[2,4,7,8,11,12,13],[2,5,6,9,11,12,14],[2,5,8,9,10,11,13],[3,4,5,7,9,12,13],[3,4,6,7,9,10,11],[3,4,6,10,11,13,14],[3,5,6,8,9,10,12],[3,5,7,8,10,11,14],[4,5,6,7,8,13,14]]; G[845]:=Group([(1,3,10)(2,11,12)(5,6,14)(7,13,8)]); # Design 846: autom. group order 3, simple, residual B[846]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,12,13,14],[1,4,5,8,11,12,13],[1,4,7,8,11,12,14],[1,4,8,9,10,13,14],[1,5,6,7,9,10,12],[1,6,7,8,9,10,11],[2,3,7,8,10,12,14],[2,3,9,10,11,12,13],[2,4,5,6,10,11,14],[2,4,6,8,9,10,12],[2,4,7,9,11,13,14],[2,5,6,8,9,11,13],[2,5,7,8,9,12,14],[3,4,5,7,9,12,13],[3,4,6,7,8,10,13],[3,4,6,7,9,11,14],[3,5,6,8,11,12,14],[3,5,7,8,10,11,13],[4,5,6,10,12,13,14]]; G[846]:=Group([(1,10,14)(2,8,11)(3,7,4)(5,13,9)]); # Design 847: autom. group order 3, simple B[847]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,7,10,12,14],[1,3,5,9,11,12,13],[1,3,6,8,12,13,14],[1,4,5,8,9,10,14],[1,4,7,9,10,13,14],[1,4,8,11,12,13,14],[1,5,6,7,9,11,12],[1,6,7,8,9,10,11],[2,3,7,8,9,11,14],[2,3,9,10,11,12,14],[2,4,5,6,11,13,14],[2,4,6,9,10,11,13],[2,4,7,8,9,12,13],[2,5,6,8,9,12,14],[2,5,7,8,10,12,13],[3,4,5,7,10,12,14],[3,4,6,7,8,11,14],[3,4,6,7,9,12,13],[3,5,6,9,10,13,14],[3,5,7,8,10,11,13],[4,5,6,8,10,11,12]]; G[847]:=Group([(1,11,13)(2,8,9)(3,7,4)(5,14,12)]); # Design 848: autom. group order 3, simple, residual B[848]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,9,12,14],[1,3,6,8,11,12,14],[1,4,5,9,10,11,13],[1,4,7,10,11,12,14],[1,4,8,9,12,13,14],[1,5,6,7,8,10,12],[1,6,7,8,9,10,13],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,6,12,13,14],[2,4,6,7,8,10,14],[2,4,7,8,11,12,13],[2,5,6,9,10,11,12],[2,5,8,9,10,12,14],[3,4,5,8,10,13,14],[3,4,6,7,9,12,13],[3,4,6,8,9,10,11],[3,5,6,8,11,12,13],[3,5,7,10,11,13,14],[4,5,6,7,9,11,14]]; G[848]:=Group([(1,12,13)(2,10,3)(4,9,14)(6,11,7)]); # Design 849: autom. group order 3, simple, residual B[849]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,6,8,9,11,14],[1,3,5,7,11,12,13],[1,3,6,9,11,13,14],[1,4,5,9,12,13,14],[1,4,7,8,9,10,14],[1,4,8,10,11,12,13],[1,5,6,7,8,12,14],[1,6,7,9,10,11,12],[2,3,7,8,11,12,14],[2,3,7,9,10,12,14],[2,4,5,6,11,12,14],[2,4,6,7,9,11,13],[2,4,7,8,9,12,13],[2,5,6,9,10,12,13],[2,5,8,10,11,13,14],[3,4,5,9,10,11,14],[3,4,6,7,10,13,14],[3,4,6,8,12,13,14],[3,5,6,8,9,10,12],[3,5,7,8,9,11,13],[4,5,6,7,8,10,11]]; G[849]:=Group([(1,6,10)(2,3,13)(4,14,5)(9,12,11)]); # Design 850: autom. group order 3, simple, residual B[850]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,6,8,9,11,14],[1,3,5,7,11,12,13],[1,3,6,9,12,13,14],[1,4,5,9,11,13,14],[1,4,7,8,10,11,14],[1,4,8,9,10,12,13],[1,5,6,7,8,12,14],[1,6,7,9,10,11,12],[2,3,7,8,9,12,14],[2,3,7,9,10,11,14],[2,4,5,6,11,12,14],[2,4,6,7,9,12,13],[2,4,7,8,11,12,13],[2,5,6,9,10,11,13],[2,5,8,10,12,13,14],[3,4,5,9,10,12,14],[3,4,6,7,10,13,14],[3,4,6,8,11,13,14],[3,5,6,8,10,11,12],[3,5,7,8,9,11,13],[4,5,6,7,8,9,10]]; G[850]:=Group([(1,6,10)(2,3,13)(4,14,5)(9,11,12)]); # Design 851: autom. group order 3, simple, residual B[851]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,6,8,11,12,14],[1,3,5,7,11,12,13],[1,3,6,9,11,13,14],[1,4,5,9,11,13,14],[1,4,7,8,9,10,14],[1,4,8,9,10,12,13],[1,5,6,7,8,12,14],[1,6,7,9,10,11,12],[2,3,7,8,9,11,14],[2,3,7,9,10,12,14],[2,4,5,6,9,12,14],[2,4,6,7,9,11,13],[2,4,7,8,11,12,13],[2,5,6,9,10,12,13],[2,5,8,10,11,13,14],[3,4,5,10,11,12,14],[3,4,6,7,10,13,14],[3,4,6,8,12,13,14],[3,5,6,8,9,10,11],[3,5,7,8,9,12,13],[4,5,6,7,8,10,11]]; G[851]:=Group([(1,6,10)(2,3,13)(4,14,5)(9,12,11)]); # Design 852: autom. group order 3, simple, residual B[852]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,6,8,11,12,14],[1,3,5,7,11,12,13],[1,3,6,9,11,13,14],[1,4,5,9,12,13,14],[1,4,7,8,10,11,14],[1,4,8,9,10,12,13],[1,5,6,7,8,9,14],[1,6,7,9,10,11,12],[2,3,7,8,9,12,14],[2,3,7,9,10,12,14],[2,4,5,6,11,12,14],[2,4,6,7,9,11,13],[2,4,7,8,9,11,13],[2,5,6,9,10,12,13],[2,5,8,10,11,13,14],[3,4,5,9,10,11,14],[3,4,6,7,10,13,14],[3,4,6,8,12,13,14],[3,5,6,8,9,10,11],[3,5,7,8,11,12,13],[4,5,6,7,8,10,12]]; G[852]:=Group([(1,6,10)(2,3,13)(4,14,5)(9,12,11)]); # Design 853: autom. group order 3, simple, residual B[853]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,9,11,14],[1,2,6,9,11,12,13],[1,3,5,9,12,13,14],[1,3,6,7,10,11,14],[1,4,5,7,10,12,13],[1,4,7,8,9,13,14],[1,4,8,10,11,13,14],[1,5,6,8,10,12,14],[1,6,7,8,9,11,12],[2,3,7,8,11,12,14],[2,3,9,10,12,13,14],[2,4,5,6,11,13,14],[2,4,6,7,12,13,14],[2,4,7,8,9,10,12],[2,5,6,8,9,10,14],[2,5,7,8,10,11,13],[3,4,5,8,11,12,14],[3,4,6,7,9,10,14],[3,4,6,8,9,11,13],[3,5,6,7,8,12,13],[3,5,7,9,10,11,13],[4,5,6,9,10,11,12]]; G[853]:=Group([(1,5,11)(2,7,9)(3,13,6)(4,10,12)]); # Design 854: autom. group order 3, simple, residual B[854]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,10,13,14],[1,3,5,7,9,11,14],[1,3,6,7,11,12,13],[1,4,5,10,12,13,14],[1,4,7,8,10,12,14],[1,4,8,9,11,13,14],[1,5,6,8,9,10,12],[1,6,7,8,9,11,12],[2,3,7,9,10,12,14],[2,3,8,9,12,13,14],[2,4,5,6,11,12,14],[2,4,6,7,8,9,10],[2,4,7,9,11,12,13],[2,5,6,8,11,12,14],[2,5,7,8,10,11,13],[3,4,5,7,8,12,13],[3,4,6,8,10,11,13],[3,4,6,9,10,11,14],[3,5,6,9,10,12,13],[3,5,7,8,10,11,14],[4,5,6,7,9,13,14]]; G[854]:=Group([(1,3,10)(2,11,12)(5,6,14)(7,9,13)]); # Design 855: autom. group order 3, simple, residual B[855]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,8,13,14],[1,3,5,7,11,12,14],[1,3,6,8,9,11,13],[1,4,5,10,12,13,14],[1,4,7,8,9,10,14],[1,4,7,9,11,13,14],[1,5,6,7,9,10,12],[1,6,8,9,10,11,12],[2,3,7,8,9,12,14],[2,3,9,10,12,13,14],[2,4,5,6,9,11,14],[2,4,6,7,8,10,12],[2,4,7,9,11,12,13],[2,5,6,9,10,11,14],[2,5,7,8,10,11,13],[3,4,5,8,9,10,13],[3,4,6,7,10,11,13],[3,4,6,8,11,12,14],[3,5,6,7,9,12,13],[3,5,7,8,10,11,14],[4,5,6,8,12,13,14]]; G[855]:=Group([(1,8,13)(2,6,11)(3,12,7)(5,14,9)]); # Design 856: autom. group order 3, simple, residual B[856]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,11,12,14],[1,3,5,7,9,11,13],[1,3,6,7,12,13,14],[1,4,5,7,12,13,14],[1,4,7,8,9,10,14],[1,4,8,9,10,12,13],[1,5,6,8,9,11,14],[1,6,7,9,10,11,12],[2,3,7,8,9,12,14],[2,3,7,9,10,11,14],[2,4,5,6,9,12,14],[2,4,6,7,9,11,13],[2,4,7,8,11,12,13],[2,5,6,9,10,12,13],[2,5,7,8,10,13,14],[3,4,5,10,11,12,14],[3,4,6,8,11,13,14],[3,4,6,9,10,13,14],[3,5,6,7,8,10,12],[3,5,8,9,11,12,13],[4,5,6,7,8,10,11]]; G[856]:=Group([(1,6,10)(2,3,13)(4,14,5)(7,9,11)]); # Design 857: autom. group order 3, simple, residual B[857]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,9,12,14],[1,3,5,7,9,11,13],[1,3,6,7,12,13,14],[1,4,5,9,12,13,14],[1,4,7,8,10,12,13],[1,4,8,9,10,11,14],[1,5,6,7,8,11,14],[1,6,7,9,10,11,12],[2,3,7,8,9,12,14],[2,3,7,9,10,11,14],[2,4,5,6,11,12,14],[2,4,6,7,9,11,13],[2,4,7,8,11,12,13],[2,5,6,9,10,12,13],[2,5,7,8,10,13,14],[3,4,5,7,10,12,14],[3,4,6,8,11,13,14],[3,4,6,9,10,13,14],[3,5,6,8,10,11,12],[3,5,8,9,11,12,13],[4,5,6,7,8,9,10]]; G[857]:=Group([(1,6,10)(2,3,13)(4,14,5)(7,9,11)]); # Design 858: autom. group order 3, simple, residual B[858]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,11,13,14],[1,3,7,9,11,13,14],[1,4,5,6,9,12,14],[1,4,6,7,8,13,14],[1,4,7,8,10,12,14],[1,5,7,9,10,11,12],[1,6,8,9,10,12,13],[2,3,6,9,12,13,14],[2,3,7,8,10,12,14],[2,4,5,9,10,13,14],[2,4,6,8,11,12,13],[2,4,7,8,9,11,14],[2,5,6,7,11,12,14],[2,5,7,8,9,10,13],[3,4,5,10,12,13,14],[3,4,6,8,9,10,11],[3,4,7,9,11,12,13],[3,5,6,7,8,9,12],[3,5,6,8,10,11,14],[4,5,6,7,10,11,13]]; G[858]:=Group([(1,5,14)(2,10,7)(3,13,8)(6,9,12)]); # Design 859: autom. group order 3, simple, residual B[859]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,9,11,14],[1,3,5,9,10,12,14],[1,3,7,9,11,12,14],[1,4,5,6,12,13,14],[1,4,6,7,8,11,14],[1,4,7,8,9,10,13],[1,5,7,10,11,13,14],[1,6,8,9,10,12,13],[2,3,6,10,11,13,14],[2,3,7,8,9,13,14],[2,4,5,9,11,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,12,14],[2,5,6,7,9,12,13],[2,5,7,8,10,11,12],[3,4,5,8,10,13,14],[3,4,6,8,11,12,13],[3,4,7,9,11,12,13],[3,5,6,7,8,12,14],[3,5,6,8,9,10,11],[4,5,6,7,9,10,11]]; G[859]:=Group([(1,10,11)(2,12,3)(5,14,13)(6,8,9)]); # Design 860: autom. group order 3, simple, residual B[860]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,9,12,13],[1,3,8,10,12,13,14],[1,4,5,6,11,12,13],[1,4,6,7,9,12,14],[1,4,7,8,11,13,14],[1,5,7,9,10,12,14],[1,6,7,8,9,10,11],[2,3,6,8,11,12,14],[2,3,7,9,11,12,14],[2,4,5,7,8,10,14],[2,4,6,9,10,12,13],[2,4,7,8,10,12,13],[2,5,6,8,9,13,14],[2,5,7,9,11,12,13],[3,4,5,9,10,11,14],[3,4,6,9,10,13,14],[3,4,7,8,9,11,13],[3,5,6,7,8,10,12],[3,5,6,7,10,11,13],[4,5,6,8,11,12,14]]; G[860]:=Group([(1,10,11)(3,4,12)(5,13,14)(6,8,9)]); # Design 861: autom. group order 3, simple, residual B[861]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,8,12,13,14],[1,3,7,9,11,12,14],[1,4,5,6,9,10,14],[1,4,6,8,12,13,14],[1,4,7,8,9,11,13],[1,5,8,9,10,11,14],[1,6,7,9,10,12,13],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,11,12,13,14],[2,4,6,9,11,12,14],[2,4,7,9,10,13,14],[2,5,6,8,9,11,13],[2,5,7,8,10,12,14],[3,4,5,7,9,12,13],[3,4,6,8,10,11,13],[3,4,7,8,10,11,14],[3,5,6,7,11,13,14],[3,5,6,9,10,11,12],[4,5,6,7,8,10,12]]; G[861]:=Group([(1,10,12)(2,3,11)(5,8,14)(7,13,9)]); # Design 862: autom. group order 3, simple B[862]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,12],[1,2,6,7,9,11,13],[1,3,5,9,12,13,14],[1,3,8,10,11,12,14],[1,4,5,6,11,13,14],[1,4,6,7,8,10,14],[1,4,7,9,10,12,13],[1,5,8,9,10,11,13],[1,6,7,8,9,12,14],[2,3,6,8,9,11,14],[2,3,7,8,9,10,13],[2,4,5,8,12,13,14],[2,4,6,8,10,12,13],[2,4,7,9,11,12,14],[2,5,6,9,10,12,14],[2,5,7,10,11,13,14],[3,4,5,7,9,10,14],[3,4,6,9,11,12,13],[3,4,7,8,11,13,14],[3,5,6,7,8,12,13],[3,5,6,7,10,11,12],[4,5,6,8,9,10,11]]; G[862]:=Group([(1,5,12)(2,7,11)(4,6,10)(9,13,14)]); # Design 863: autom. group order 3, simple, residual B[863]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,12],[1,2,6,7,9,11,13],[1,3,5,9,12,13,14],[1,3,8,10,11,12,13],[1,4,5,6,11,13,14],[1,4,6,7,8,10,14],[1,4,7,9,10,12,14],[1,5,8,9,10,11,14],[1,6,7,8,9,12,13],[2,3,6,8,9,11,14],[2,3,7,8,10,13,14],[2,4,5,8,12,13,14],[2,4,6,8,9,10,12],[2,4,7,11,12,13,14],[2,5,6,9,10,12,13],[2,5,7,9,10,11,14],[3,4,5,7,9,10,13],[3,4,6,9,11,12,14],[3,4,7,8,9,11,13],[3,5,6,7,8,12,14],[3,5,6,7,10,11,12],[4,5,6,8,10,11,13]]; G[863]:=Group([(1,5,12)(2,7,11)(4,6,10)(9,14,13)]); # Design 864: autom. group order 3, simple, residual B[864]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,12,13],[1,2,6,7,9,11,14],[1,3,5,9,10,12,14],[1,3,8,9,11,12,14],[1,4,5,6,12,13,14],[1,4,6,7,8,11,14],[1,4,7,8,9,10,13],[1,5,8,10,11,13,14],[1,6,7,9,10,12,13],[2,3,6,10,11,13,14],[2,3,7,8,9,13,14],[2,4,5,9,11,13,14],[2,4,6,8,10,12,14],[2,4,7,9,10,12,14],[2,5,6,8,9,12,13],[2,5,7,8,10,11,12],[3,4,5,7,10,13,14],[3,4,6,9,11,12,13],[3,4,7,8,11,12,13],[3,5,6,7,8,12,14],[3,5,6,7,9,10,11],[4,5,6,8,9,10,11]]; G[864]:=Group([(1,10,11)(2,12,3)(5,14,13)(6,7,9)]); # Design 865: autom. group order 3, simple, residual B[865]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,10,11,14],[1,3,8,9,12,13,14],[1,4,5,6,11,12,13],[1,4,6,8,10,12,14],[1,4,7,9,10,11,13],[1,5,7,8,10,12,14],[1,6,7,8,9,11,13],[2,3,6,7,10,13,14],[2,3,7,8,9,11,12],[2,4,5,8,9,13,14],[2,4,6,9,11,12,14],[2,4,8,10,11,13,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,12],[3,4,5,7,12,13,14],[3,4,6,7,8,11,14],[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[865]:=Group([(2,12,13)(3,14,11)(4,8,7)(5,10,9)]); # Design 866: autom. group order 3, simple, residual B[866]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,10,11,14],[1,3,8,9,12,13,14],[1,4,5,6,11,12,13],[1,4,6,8,10,12,14],[1,4,7,9,10,11,13],[1,5,7,8,10,12,14],[1,6,7,8,9,11,13],[2,3,6,11,12,13,14],[2,3,7,8,9,11,12],[2,4,5,8,9,13,14],[2,4,6,7,9,10,14],[2,4,8,10,11,13,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,12],[3,4,5,7,12,13,14],[3,4,6,7,8,11,14],[3,4,7,9,10,12,13],[3,5,6,7,8,10,13],[3,5,6,9,10,11,14],[4,5,6,8,9,11,12]]; G[866]:=Group([(2,12,13)(3,14,11)(4,8,7)(5,10,9)]); # Design 867: autom. group order 3, simple, residual B[867]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,11,12,13],[1,3,7,8,10,12,14],[1,4,5,6,9,12,14],[1,4,6,8,10,11,14],[1,4,7,8,9,13,14],[1,5,8,9,10,11,13],[1,6,7,9,10,11,12],[2,3,6,7,9,11,14],[2,3,8,9,11,12,14],[2,4,5,10,12,13,14],[2,4,6,8,11,12,13],[2,4,7,9,10,11,13],[2,5,6,7,8,9,10],[2,5,7,8,10,12,14],[3,4,5,9,10,11,14],[3,4,6,7,10,13,14],[3,4,7,8,9,12,13],[3,5,6,8,11,13,14],[3,5,6,9,10,12,13],[4,5,6,7,8,11,12]]; G[867]:=Group([(1,4,9)(2,7,12)(3,13,6)(5,8,14)]); # Design 868: autom. group order 3, simple, residual B[868]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,11,13,14],[1,3,8,9,11,13,14],[1,4,5,6,9,12,14],[1,4,6,7,8,10,14],[1,4,7,8,12,13,14],[1,5,8,9,10,11,12],[1,6,7,9,10,12,13],[2,3,6,9,12,13,14],[2,3,7,8,10,12,14],[2,4,5,10,12,13,14],[2,4,6,7,9,11,13],[2,4,7,8,9,11,14],[2,5,6,8,11,12,14],[2,5,7,8,9,10,13],[3,4,5,9,10,13,14],[3,4,6,8,11,12,13],[3,4,7,9,10,11,12],[3,5,6,7,8,9,12],[3,5,6,7,10,11,14],[4,5,6,8,10,11,13]]; G[868]:=Group([(1,5,14)(2,10,8)(3,13,7)(6,9,12)]); # Design 869: autom. group order 3, simple B[869]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,9,12,13],[1,3,8,9,11,12,14],[1,4,5,6,11,12,14],[1,4,6,7,9,10,14],[1,4,7,8,10,12,14],[1,5,8,9,10,11,13],[1,6,7,9,11,12,13],[2,3,6,8,9,12,14],[2,3,7,9,10,11,14],[2,4,5,11,12,13,14],[2,4,6,8,9,12,13],[2,4,7,9,10,12,13],[2,5,6,7,9,11,14],[2,5,7,8,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,8,11,13],[3,4,7,8,11,13,14],[3,5,6,7,8,10,12],[3,5,6,10,12,13,14],[4,5,6,8,9,10,11]]; G[869]:=Group([(1,5,9)(2,10,12)(3,8,13)(4,11,7)]); # Design 870: autom. group order 3, simple, residual B[870]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,11,13,14],[1,3,7,8,12,13,14],[1,4,5,6,8,12,14],[1,4,6,7,9,12,13],[1,4,7,9,10,12,14],[1,5,8,9,10,11,12],[1,6,7,8,10,11,13],[2,3,6,7,9,11,12],[2,3,8,9,12,13,14],[2,4,5,7,10,13,14],[2,4,6,8,11,12,13],[2,4,7,8,9,11,14],[2,5,6,8,10,12,14],[2,5,7,9,10,12,13],[3,4,5,10,11,12,13],[3,4,6,8,9,10,13],[3,4,7,8,10,11,14],[3,5,6,7,8,9,10],[3,5,6,7,11,12,14],[4,5,6,9,11,13,14]]; G[870]:=Group([(1,5,10)(3,7,14)(4,13,6)(8,12,11)]); # Design 871: autom. group order 3, simple, residual B[871]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,11,14],[1,2,6,9,11,12,14],[1,3,5,9,12,13,14],[1,3,7,8,11,12,13],[1,4,5,6,10,13,14],[1,4,6,7,9,12,13],[1,4,7,8,9,11,14],[1,5,8,9,10,11,13],[1,6,7,8,10,12,14],[2,3,6,7,9,13,14],[2,3,8,9,10,12,14],[2,4,5,11,12,13,14],[2,4,6,8,11,12,13],[2,4,7,8,10,13,14],[2,5,6,7,8,9,11],[2,5,7,9,10,12,13],[3,4,5,7,8,12,14],[3,4,6,9,10,11,14],[3,4,7,9,10,11,13],[3,5,6,7,10,11,12],[3,5,6,8,11,13,14],[4,5,6,8,9,10,12]]; G[871]:=Group([(1,10,12)(2,3,11)(5,9,13)(7,14,8)]); # Design 872: autom. group order 3, simple, residual B[872]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,8,12,13,14],[1,3,7,9,12,13,14],[1,4,5,6,9,12,14],[1,4,6,7,11,12,13],[1,4,7,8,10,11,14],[1,5,8,9,10,11,12],[1,6,7,8,9,10,13],[2,3,6,8,9,11,13],[2,3,7,8,11,12,14],[2,4,5,7,10,13,14],[2,4,6,7,8,9,12],[2,4,9,11,12,13,14],[2,5,6,8,10,12,14],[2,5,7,9,10,12,13],[3,4,5,9,10,11,13],[3,4,6,8,10,12,13],[3,4,7,8,9,10,14],[3,5,6,7,9,11,14],[3,5,6,7,10,11,12],[4,5,6,8,11,13,14]]; G[872]:=Group([(1,5,10)(3,7,14)(4,13,6)(8,12,11)]); # Design 873: autom. group order 3, simple, residual B[873]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,8,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,9,11,14],[1,4,6,7,9,12,13],[1,4,7,9,10,12,14],[1,5,8,9,10,11,12],[1,6,7,8,10,11,13],[2,3,6,9,11,12,13],[2,3,7,8,9,12,14],[2,4,5,7,10,13,14],[2,4,6,7,8,11,12],[2,4,8,9,11,13,14],[2,5,6,9,10,11,14],[2,5,7,9,10,12,13],[3,4,5,10,11,12,13],[3,4,6,8,9,10,13],[3,4,7,8,10,11,14],[3,5,6,7,8,9,10],[3,5,6,7,11,12,14],[4,5,6,8,12,13,14]]; G[873]:=Group([(1,5,10)(3,7,14)(4,13,6)(8,9,12)]); # Design 874: autom. group order 3, simple, residual B[874]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,11,12,13],[1,3,7,8,9,13,14],[1,4,5,6,8,11,14],[1,4,6,7,9,12,13],[1,4,7,8,10,12,14],[1,5,8,9,10,11,12],[1,6,7,9,10,11,14],[2,3,6,9,11,12,14],[2,3,7,8,11,12,14],[2,4,5,9,10,13,14],[2,4,6,7,8,9,11],[2,4,8,9,12,13,14],[2,5,6,7,9,10,12],[2,5,7,8,10,11,13],[3,4,5,7,10,12,14],[3,4,6,8,10,11,13],[3,4,7,9,10,11,13],[3,5,6,7,8,12,13],[3,5,6,8,9,10,14],[4,5,6,11,12,13,14]]; G[874]:=Group([(1,10,12)(2,4,11)(5,13,14)(6,7,9)]); # Design 875: autom. group order 3, simple, residual B[875]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,6,8,9,11,14],[1,3,5,11,12,13,14],[1,3,7,9,11,12,13],[1,4,5,6,9,12,14],[1,4,6,7,10,11,14],[1,4,7,8,9,13,14],[1,5,8,9,10,11,12],[1,6,7,8,10,12,13],[2,3,6,9,12,13,14],[2,3,7,9,10,11,14],[2,4,5,10,12,13,14],[2,4,6,8,11,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,11,13],[2,5,7,8,9,10,12],[3,4,5,7,8,11,13],[3,4,6,7,9,10,12],[3,4,8,9,10,13,14],[3,5,6,7,8,12,14],[3,5,6,8,10,11,14],[4,5,6,9,10,11,13]]; G[875]:=Group([(1,2,12)(3,4,11)(5,8,13)(6,14,9)]); # Design 876: autom. group order 3, simple B[876]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,12,13,14],[1,3,7,8,11,12,14],[1,4,5,6,10,11,14],[1,4,6,7,9,11,13],[1,4,8,9,11,13,14],[1,5,7,10,12,13,14],[1,6,7,8,9,10,12],[2,3,6,7,8,13,14],[2,3,7,9,10,11,14],[2,4,5,7,9,12,14],[2,4,6,9,12,13,14],[2,4,7,10,11,12,13],[2,5,6,8,11,12,13],[2,5,8,9,10,11,14],[3,4,5,8,10,12,13],[3,4,6,8,11,12,14],[3,4,7,8,9,10,13],[3,5,6,7,9,11,12],[3,5,6,9,10,11,13],[4,5,6,7,8,10,14]]; G[876]:=Group([(1,6,8)(3,13,5)(4,14,11)(9,10,12)]); # Design 877: autom. group order 3, simple, residual B[877]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,10,13,14],[1,3,7,8,11,12,14],[1,4,5,6,11,12,14],[1,4,6,7,9,11,13],[1,4,8,10,11,13,14],[1,5,7,9,12,13,14],[1,6,7,8,9,10,12],[2,3,6,7,8,13,14],[2,3,7,9,11,12,14],[2,4,5,7,10,12,14],[2,4,6,9,12,13,14],[2,4,7,9,10,11,13],[2,5,6,8,11,12,13],[2,5,8,9,10,11,14],[3,4,5,8,9,12,13],[3,4,6,8,9,11,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,6,10,11,12,13],[4,5,6,7,8,10,14]]; G[877]:=Group([(1,6,8)(3,13,5)(4,14,11)(9,10,12)]); # Design 878: autom. group order 3, simple, residual B[878]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,9,12,13],[1,3,5,10,12,13,14],[1,3,7,8,11,13,14],[1,4,5,6,9,13,14],[1,4,6,7,10,12,14],[1,4,8,9,10,11,14],[1,5,7,9,10,11,13],[1,6,7,8,9,11,12],[2,3,6,7,9,11,14],[2,3,8,9,10,12,14],[2,4,5,8,11,13,14],[2,4,6,7,8,10,13],[2,4,7,11,12,13,14],[2,5,6,9,10,11,14],[2,5,7,9,10,12,13],[3,4,5,7,9,11,12],[3,4,6,9,12,13,14],[3,4,7,8,9,10,13],[3,5,6,7,8,10,14],[3,5,6,8,11,12,13],[4,5,6,8,10,11,12]]; G[878]:=Group([(1,8,10)(2,6,13)(3,12,7)(4,11,9)]); # Design 879: autom. group order 3, simple, residual B[879]:=[[1,2,3,4,5,6,7],[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],[1,3,5,10,12,13,14],[1,3,7,9,11,13,14],[1,4,5,6,9,11,12],[1,4,6,8,11,13,14],[1,4,7,8,11,12,14],[1,5,7,8,9,10,13],[1,6,7,8,9,10,12],[2,3,6,7,8,10,11],[2,3,8,9,11,12,13],[2,4,5,7,12,13,14],[2,4,6,9,10,13,14],[2,4,7,8,9,12,13],[2,5,6,7,9,11,14],[2,5,8,10,11,12,14],[3,4,5,8,9,10,14],[3,4,6,7,10,12,13],[3,4,7,9,10,11,14],[3,5,6,7,8,12,14],[3,5,6,9,11,12,13],[4,5,6,8,10,11,13]]; G[879]:=Group([(1,4,13)(2,7,5)(3,12,10)(6,14,11)]); # Design 880: autom. group order 3, simple, residual B[880]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,9,12,13],[1,3,7,10,12,13,14],[1,4,5,6,11,12,13],[1,4,6,8,9,12,14],[1,4,7,8,11,13,14],[1,5,8,9,10,12,14],[1,6,7,8,9,10,11],[2,3,6,9,11,12,14],[2,3,7,8,11,12,14],[2,4,5,7,8,10,14],[2,4,6,8,10,12,13],[2,4,7,9,10,12,13],[2,5,6,7,9,13,14],[2,5,8,9,11,12,13],[3,4,5,9,10,11,14],[3,4,6,9,10,13,14],[3,4,7,8,9,11,13],[3,5,6,7,8,10,12],[3,5,6,8,10,11,13],[4,5,6,7,11,12,14]]; G[880]:=Group([(1,10,11)(3,4,12)(5,13,14)(6,7,9)]); # Design 881: autom. group order 3, simple, residual B[881]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,11,14],[1,3,5,7,10,12,14],[1,3,7,8,11,12,14],[1,4,5,6,12,13,14],[1,4,6,8,9,11,14],[1,4,7,8,9,10,13],[1,5,8,10,11,13,14],[1,6,7,9,10,12,13],[2,3,6,10,11,13,14],[2,3,7,8,9,13,14],[2,4,5,7,11,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,12,14],[2,5,6,7,8,12,13],[2,5,8,9,10,11,12],[3,4,5,9,10,13,14],[3,4,6,8,11,12,13],[3,4,7,9,11,12,13],[3,5,6,7,9,10,11],[3,5,6,8,9,12,14],[4,5,6,7,8,10,11]]; G[881]:=Group([(1,10,11)(2,12,3)(5,14,13)(6,9,7)]); # Design 882: autom. group order 3, simple B[882]:=[[1,2,3,4,5,6,7],[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],[1,3,7,8,9,11,14],[1,4,5,6,11,12,14],[1,4,6,8,11,12,13],[1,4,7,9,11,13,14],[1,5,8,10,12,13,14],[1,6,7,8,9,10,12],[2,3,6,9,12,13,14],[2,3,8,10,11,12,14],[2,4,5,7,8,12,14],[2,4,6,7,10,13,14],[2,4,7,8,10,11,13],[2,5,6,8,9,11,13],[2,5,7,9,11,12,14],[3,4,5,9,10,12,13],[3,4,6,9,10,11,14],[3,4,7,8,9,12,13],[3,5,6,7,8,10,11],[3,5,6,7,11,12,13],[4,5,6,8,9,10,14]]; G[882]:=Group([(1,6,9)(3,13,5)(4,14,11)(7,12,10)]); # Design 883: autom. group order 3, simple, residual B[883]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,8,12,14],[1,3,7,9,10,11,14],[1,4,5,6,9,11,13],[1,4,6,8,10,12,13],[1,4,8,9,10,12,14],[1,5,7,10,11,12,13],[1,6,7,8,9,11,14],[2,3,6,7,8,11,12],[2,3,8,9,10,11,13],[2,4,5,9,11,12,14],[2,4,6,7,9,10,14],[2,4,7,11,12,13,14],[2,5,6,8,10,12,14],[2,5,7,8,9,10,13],[3,4,5,7,10,13,14],[3,4,6,8,11,13,14],[3,4,7,8,9,12,13],[3,5,6,9,10,11,12],[3,5,6,9,12,13,14],[4,5,6,7,8,10,11]]; G[883]:=Group([(1,2,12)(3,11,10)(5,14,8)(6,7,13)]); # Design 884: autom. group order 3, simple, residual B[884]:=[[1,2,3,4,5,6,7],[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],[1,3,7,9,10,11,12],[1,4,5,6,8,11,14],[1,4,6,10,11,13,14],[1,4,8,9,10,12,14],[1,5,7,8,9,10,13],[1,6,7,8,11,12,13],[2,3,6,8,12,13,14],[2,3,7,8,10,11,14],[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],[3,4,5,10,12,13,14],[3,4,6,7,9,11,14],[3,4,7,8,9,13,14],[3,5,6,8,9,11,12],[3,5,6,9,10,11,13],[4,5,6,7,8,10,12]]; G[884]:=Group([(1,9,13)(2,11,14)(4,6,12)(7,8,10)]); # Design 885: autom. group order 3, simple, residual B[885]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,8,9,10,12,13],[1,4,5,6,11,12,13],[1,4,6,7,10,12,14],[1,4,7,8,9,10,13],[1,5,7,8,10,11,14],[1,6,8,9,11,12,14],[2,3,6,8,12,13,14],[2,3,7,9,10,11,14],[2,4,5,8,10,12,14],[2,4,6,8,9,10,11],[2,4,7,9,12,13,14],[2,5,6,7,8,9,12],[2,5,7,10,11,12,13],[3,4,5,9,11,13,14],[3,4,6,7,8,11,14],[3,4,7,8,11,12,13],[3,5,6,7,8,10,13],[3,5,6,9,10,11,12],[4,5,6,9,10,13,14]]; G[885]:=Group([(1,4,14)(2,9,11)(3,13,8)(6,10,7)]); # Design 886: autom. group order 3, simple, residual B[886]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,9,10,11,12,13],[1,4,5,6,11,13,14],[1,4,6,7,8,12,13],[1,4,7,8,10,12,14],[1,5,8,9,10,13,14],[1,6,7,8,9,10,11],[2,3,6,8,12,13,14],[2,3,7,8,9,11,13],[2,4,5,7,9,10,13],[2,4,6,8,9,10,12],[2,4,7,10,11,13,14],[2,5,6,9,10,12,14],[2,5,7,8,11,12,14],[3,4,5,8,10,11,14],[3,4,6,8,9,11,14],[3,4,7,9,12,13,14],[3,5,6,7,8,10,13],[3,5,6,7,10,11,12],[4,5,6,9,11,12,13]]; G[886]:=Group([(1,5,10)(2,7,11)(4,6,12)(8,13,9)]); # Design 887: autom. group order 3, simple, residual B[887]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,9,12,14],[1,3,8,10,11,12,14],[1,4,5,6,11,13,14],[1,4,6,7,8,12,14],[1,4,7,9,10,12,13],[1,5,8,9,10,13,14],[1,6,7,8,9,10,11],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,7,8,10,14],[2,4,6,8,10,12,13],[2,4,7,9,10,11,14],[2,5,6,9,10,12,14],[2,5,7,11,12,13,14],[3,4,5,9,10,11,13],[3,4,6,9,12,13,14],[3,4,7,8,11,13,14],[3,5,6,7,8,10,13],[3,5,6,7,10,11,12],[4,5,6,8,9,11,12]]; G[887]:=Group([(1,5,10)(2,7,11)(4,6,12)(9,13,14)]); # Design 888: autom. group order 3, simple, residual B[888]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,8,10,11,12,14],[1,4,5,6,11,13,14],[1,4,6,7,8,12,13],[1,4,7,9,10,12,13],[1,5,8,9,10,13,14],[1,6,7,8,9,10,11],[2,3,6,8,9,11,13],[2,3,7,8,12,13,14],[2,4,5,7,8,10,14],[2,4,6,8,9,10,12],[2,4,7,10,11,13,14],[2,5,6,9,10,12,14],[2,5,7,9,11,12,13],[3,4,5,9,10,11,13],[3,4,6,9,12,13,14],[3,4,7,8,9,11,14],[3,5,6,7,8,10,13],[3,5,6,7,10,11,12],[4,5,6,8,11,12,14]]; G[888]:=Group([(1,5,10)(2,7,11)(4,6,12)(9,13,14)]); # Design 889: autom. group order 3, simple, residual B[889]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,9,10,11,12,13],[1,4,5,6,11,13,14],[1,4,6,7,9,12,13],[1,4,7,8,10,12,14],[1,5,8,9,10,13,14],[1,6,7,8,9,10,11],[2,3,6,8,9,12,14],[2,3,7,8,9,11,13],[2,4,5,7,9,10,13],[2,4,6,8,10,12,13],[2,4,7,9,10,11,14],[2,5,6,9,10,12,14],[2,5,7,11,12,13,14],[3,4,5,8,10,11,14],[3,4,6,9,11,13,14],[3,4,7,8,12,13,14],[3,5,6,7,8,10,13],[3,5,6,7,10,11,12],[4,5,6,8,9,11,12]]; G[889]:=Group([(1,5,10)(2,7,11)(4,6,12)(8,13,9)]); # Design 890: autom. group order 3, simple, residual B[890]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,8,11,14],[1,3,5,7,12,13,14],[1,3,9,10,11,12,14],[1,4,5,6,11,13,14],[1,4,6,7,9,12,14],[1,4,7,8,10,12,13],[1,5,8,9,10,13,14],[1,6,7,8,9,10,11],[2,3,6,9,11,13,14],[2,3,7,8,9,12,14],[2,4,5,7,9,10,14],[2,4,6,9,10,12,13],[2,4,7,10,11,13,14],[2,5,6,8,10,12,14],[2,5,7,8,11,12,13],[3,4,5,8,10,11,14],[3,4,6,8,12,13,14],[3,4,7,8,9,11,13],[3,5,6,7,9,10,13],[3,5,6,7,10,11,12],[4,5,6,8,9,11,12]]; G[890]:=Group([(1,5,10)(2,7,11)(4,6,12)(8,13,14)]); # Design 891: autom. group order 3, simple, residual B[891]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,9,12,13],[1,3,9,10,12,13,14],[1,4,5,6,11,12,13],[1,4,6,7,8,12,14],[1,4,8,9,11,13,14],[1,5,7,8,10,12,14],[1,6,7,8,9,10,11],[2,3,6,8,11,12,14],[2,3,7,9,11,12,14],[2,4,5,8,9,10,14],[2,4,6,9,10,12,13],[2,4,7,8,10,12,13],[2,5,6,7,9,13,14],[2,5,7,8,11,12,13],[3,4,5,7,10,11,14],[3,4,6,7,10,13,14],[3,4,7,8,9,11,13],[3,5,6,8,9,10,12],[3,5,6,8,10,11,13],[4,5,6,9,11,12,14]]; G[891]:=Group([(1,10,11)(3,4,12)(5,13,14)(6,9,7)]); # Design 892: autom. group order 3, simple, residual B[892]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,10,12,13],[1,3,5,9,11,12,13],[1,3,7,8,9,13,14],[1,4,5,6,7,11,14],[1,4,6,8,9,12,13],[1,4,7,8,10,12,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,14],[2,3,6,8,11,12,14],[2,3,7,9,11,12,14],[2,4,5,9,10,13,14],[2,4,6,7,8,9,11],[2,4,7,9,12,13,14],[2,5,6,8,9,10,12],[2,5,7,8,10,11,13],[3,4,5,8,10,12,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,13],[3,5,6,7,8,12,13],[3,5,6,7,9,10,14],[4,5,6,11,12,13,14]]; G[892]:=Group([(1,10,12)(2,4,11)(5,13,14)(6,8,9)]); # Design 893: autom. group order 3, simple, residual B[893]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,12,13,14],[1,3,7,11,12,13,14],[1,4,5,6,7,10,14],[1,4,6,8,9,12,14],[1,4,7,8,9,11,13],[1,5,8,9,10,11,14],[1,6,7,8,10,12,13],[2,3,6,8,9,13,14],[2,3,7,8,9,10,12],[2,4,5,11,12,13,14],[2,4,6,8,11,12,14],[2,4,7,8,10,13,14],[2,5,6,7,9,11,13],[2,5,7,9,10,12,14],[3,4,5,7,8,12,13],[3,4,6,9,10,11,13],[3,4,7,9,10,11,14],[3,5,6,7,8,11,14],[3,5,6,8,10,11,12],[4,5,6,9,10,12,13]]; G[893]:=Group([(1,10,12)(2,3,11)(5,9,14)(7,13,8)]); # Design 894: autom. group order 3, simple, residual B[894]:=[[1,2,3,4,5,6,7],[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],[1,3,7,8,9,11,14],[1,4,5,6,7,11,14],[1,4,6,8,11,12,13],[1,4,9,10,11,13,14],[1,5,7,8,12,13,14],[1,6,7,8,9,10,12],[2,3,6,9,12,13,14],[2,3,7,8,10,11,14],[2,4,5,8,10,12,14],[2,4,6,7,10,13,14],[2,4,7,8,11,12,13],[2,5,6,8,9,11,13],[2,5,7,9,11,12,14],[3,4,5,7,9,12,13],[3,4,6,9,11,12,14],[3,4,7,8,9,10,13],[3,5,6,7,10,11,13],[3,5,6,8,10,11,12],[4,5,6,8,9,10,14]]; G[894]:=Group([(1,6,9)(3,13,5)(4,14,11)(7,12,10)]); # Design 895: autom. group order 3, simple, residual B[895]:=[[1,2,3,4,5,6,7],[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],[1,3,5,10,12,13,14],[1,3,7,8,10,11,13],[1,4,5,6,11,12,14],[1,4,6,7,9,12,13],[1,4,7,8,11,12,14],[1,5,7,8,9,10,12],[1,6,8,9,11,13,14],[2,3,6,8,9,11,12],[2,3,7,9,11,12,14],[2,4,5,7,8,13,14],[2,4,6,7,10,11,13],[2,4,9,10,12,13,14],[2,5,6,8,10,12,14],[2,5,7,8,11,12,13],[3,4,5,9,11,13,14],[3,4,6,8,10,12,13],[3,4,7,8,9,10,14],[3,5,6,7,9,12,13],[3,5,6,7,10,11,14],[4,5,6,8,9,10,11]]; G[895]:=Group([(1,2,12)(3,11,4)(5,9,14)(6,8,7)]); # Design 896: autom. group order 3, simple, residual B[896]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,11,12,14],[1,3,7,9,10,13,14],[1,4,5,6,12,13,14],[1,4,6,7,8,11,14],[1,4,7,8,10,11,12],[1,5,7,8,9,12,13],[1,6,8,9,10,11,13],[2,3,6,8,12,13,14],[2,3,7,8,9,11,14],[2,4,5,7,9,10,13],[2,4,6,9,11,12,13],[2,4,8,9,10,12,14],[2,5,6,7,10,11,14],[2,5,7,8,11,12,13],[3,4,5,8,11,13,14],[3,4,6,7,9,11,13],[3,4,7,10,12,13,14],[3,5,6,7,8,10,12],[3,5,6,9,10,11,12],[4,5,6,8,9,10,14]]; G[896]:=Group([(1,6,12)(2,9,7)(3,11,8)(4,13,5)]); # Design 897: autom. group order 3, simple, residual B[897]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,10,12],[1,3,5,9,11,12,13],[1,3,7,9,10,13,14],[1,4,5,6,10,12,14],[1,4,6,7,8,11,13],[1,4,7,8,11,12,13],[1,5,7,8,9,12,14],[1,6,8,9,10,11,14],[2,3,6,8,12,13,14],[2,3,7,8,9,10,11],[2,4,5,7,9,13,14],[2,4,6,9,11,12,14],[2,4,8,9,10,12,13],[2,5,6,7,10,11,13],[2,5,7,8,11,12,14],[3,4,5,8,10,11,14],[3,4,6,7,9,11,14],[3,4,7,10,12,13,14],[3,5,6,7,8,10,12],[3,5,6,9,11,12,13],[4,5,6,8,9,10,13]]; G[897]:=Group([(1,6,12)(2,9,7)(3,11,8)(4,14,5)]); # Design 898: autom. group order 3, simple, residual B[898]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,11,14],[1,3,5,9,10,12,14],[1,3,7,8,11,13,14],[1,4,5,6,11,12,13],[1,4,6,7,10,12,14],[1,4,7,8,10,13,14],[1,5,7,8,9,12,13],[1,6,8,9,10,11,12],[2,3,6,8,12,13,14],[2,3,7,9,10,12,13],[2,4,5,7,8,12,14],[2,4,6,9,12,13,14],[2,4,8,9,10,11,14],[2,5,6,7,10,11,13],[2,5,7,8,10,11,12],[3,4,5,10,11,13,14],[3,4,6,7,8,9,11],[3,4,7,9,11,12,13],[3,5,6,7,9,10,14],[3,5,6,8,11,12,14],[4,5,6,8,9,10,13]]; G[898]:=Group([(1,5,9)(2,3,14)(4,10,11)(8,12,13)]); # Design 899: autom. group order 3, simple, residual B[899]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,11,14],[1,3,5,9,10,12,14],[1,3,7,8,11,13,14],[1,4,5,6,11,12,13],[1,4,6,7,10,13,14],[1,4,7,8,10,12,14],[1,5,7,8,9,12,13],[1,6,8,9,10,11,12],[2,3,6,8,12,13,14],[2,3,7,9,10,12,13],[2,4,5,7,8,12,14],[2,4,6,9,12,13,14],[2,4,8,9,10,11,14],[2,5,6,7,8,10,11],[2,5,7,10,11,12,13],[3,4,5,10,11,13,14],[3,4,6,7,9,11,12],[3,4,7,8,9,11,13],[3,5,6,7,9,10,14],[3,5,6,8,11,12,14],[4,5,6,8,9,10,13]]; G[899]:=Group([(1,5,9)(2,3,14)(4,10,11)(8,12,13)]); # Design 900: autom. group order 3, simple, residual B[900]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,11,14],[1,3,5,9,10,12,14],[1,3,7,8,11,13,14],[1,4,5,6,11,12,13],[1,4,6,7,8,10,14],[1,4,7,10,12,13,14],[1,5,7,8,9,12,13],[1,6,8,9,10,11,12],[2,3,6,8,12,13,14],[2,3,7,9,10,12,13],[2,4,5,7,8,12,14],[2,4,6,9,12,13,14],[2,4,8,9,10,11,14],[2,5,6,7,10,11,12],[2,5,7,8,10,11,13],[3,4,5,10,11,13,14],[3,4,6,7,9,11,13],[3,4,7,8,9,11,12],[3,5,6,7,9,10,14],[3,5,6,8,11,12,14],[4,5,6,8,9,10,13]]; G[900]:=Group([(1,5,9)(2,3,14)(4,10,11)(8,12,13)]); # Design 901: autom. group order 3, simple, residual B[901]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,9,10,12,13],[1,3,5,7,11,12,13],[1,3,7,8,9,13,14],[1,4,5,6,9,11,14],[1,4,6,7,8,12,13],[1,4,8,9,10,12,14],[1,5,7,9,10,11,12],[1,6,7,8,10,11,14],[2,3,6,9,11,12,14],[2,3,7,8,11,12,14],[2,4,5,7,10,13,14],[2,4,6,7,8,9,11],[2,4,7,9,12,13,14],[2,5,6,7,8,10,12],[2,5,8,9,10,11,13],[3,4,5,8,10,12,14],[3,4,6,8,10,11,13],[3,4,7,9,10,11,13],[3,5,6,7,9,10,14],[3,5,6,8,9,12,13],[4,5,6,11,12,13,14]]; G[901]:=Group([(1,10,12)(2,4,11)(5,13,14)(6,8,7)]); # Design 902: autom. group order 3, simple, residual B[902]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,12,13,14],[1,3,7,8,11,13,14],[1,4,5,6,11,12,13],[1,4,6,8,10,12,14],[1,4,7,9,10,11,14],[1,5,7,9,10,11,12],[1,6,7,8,9,10,13],[2,3,6,7,9,11,14],[2,3,8,10,11,12,13],[2,4,5,7,10,13,14],[2,4,6,7,9,12,13],[2,4,7,8,11,12,14],[2,5,6,7,8,10,11],[2,5,9,10,12,13,14],[3,4,5,8,9,10,14],[3,4,6,9,10,11,13],[3,4,7,8,9,12,13],[3,5,6,7,8,10,12],[3,5,6,9,11,12,14],[4,5,6,8,11,13,14]]; G[902]:=Group([(1,3,9)(2,4,8)(6,10,13)(7,14,11)]); # Design 903: autom. group order 3, simple, residual B[903]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,10,11,12],[1,3,8,11,12,13,14],[1,4,5,6,9,12,14],[1,4,6,7,8,11,13],[1,4,7,9,10,13,14],[1,5,7,8,9,11,14],[1,6,7,8,9,10,12],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,7,8,10,13],[2,4,6,7,11,12,14],[2,4,8,9,10,11,14],[2,5,6,8,10,12,14],[2,5,7,9,11,12,13],[3,4,5,9,12,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,12,14],[3,5,6,7,10,13,14],[3,5,6,8,9,10,11],[4,5,6,8,11,12,13]]; G[903]:=Group([(1,9,11)(2,13,4)(3,12,6)(5,7,8)]); # Design 904: autom. group order 3, simple, residual B[904]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,8,9,12,13],[1,3,5,7,9,12,13],[1,3,8,10,11,12,14],[1,4,5,6,11,12,14],[1,4,6,7,8,11,13],[1,4,7,9,10,13,14],[1,5,7,8,9,10,14],[1,6,7,9,10,11,12],[2,3,6,7,9,11,14],[2,3,7,8,10,12,13],[2,4,5,9,10,12,14],[2,4,6,7,8,10,14],[2,4,7,8,9,11,12],[2,5,6,9,10,11,13],[2,5,7,11,12,13,14],[3,4,5,7,10,11,13],[3,4,6,9,12,13,14],[3,4,8,9,11,13,14],[3,5,6,7,8,12,14],[3,5,6,8,9,10,11],[4,5,6,8,10,12,13]]; G[904]:=Group([(1,9,11)(2,4,13)(3,14,5)(6,12,7)]); # Design 905: autom. group order 3, simple, residual B[905]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,9,11,12],[1,3,5,9,10,11,14],[1,3,7,8,11,13,14],[1,4,5,6,12,13,14],[1,4,6,8,11,13,14],[1,4,7,9,10,12,14],[1,5,7,9,11,12,13],[1,6,7,8,9,10,12],[2,3,6,9,12,13,14],[2,3,7,8,11,12,14],[2,4,5,7,11,12,14],[2,4,7,9,10,13,14],[2,4,8,9,10,11,13],[2,5,6,7,9,11,13],[2,5,6,8,10,12,14],[3,4,5,8,9,12,13],[3,4,6,7,8,9,14],[3,4,6,10,11,12,13],[3,5,6,9,10,11,14],[3,5,7,8,10,12,13],[4,5,6,7,8,10,11]]; G[905]:=Group([(2,12,13)(3,9,14)(4,7,8)(5,10,11)]); # Design 906: autom. group order 3, simple, residual B[906]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,9,11,12],[1,2,6,11,12,13,14],[1,3,5,9,10,13,14],[1,3,7,9,11,13,14],[1,4,5,6,12,13,14],[1,4,6,7,8,11,14],[1,4,8,9,10,12,14],[1,5,7,8,10,12,13],[1,6,7,8,9,10,11],[2,3,6,7,9,12,14],[2,3,8,10,11,12,14],[2,4,5,8,11,13,14],[2,4,7,8,9,12,13],[2,4,7,9,10,13,14],[2,5,6,7,8,10,14],[2,5,6,9,10,11,13],[3,4,5,7,10,11,14],[3,4,6,7,10,12,13],[3,4,6,8,9,11,13],[3,5,6,8,9,12,14],[3,5,7,8,11,12,13],[4,5,6,9,10,11,12]]; G[906]:=Group([(1,9,12)(2,11,7)(3,6,13)(4,10,8)]); # Design 907: autom. group order 3, simple, residual B[907]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,9,10,11],[1,3,5,7,12,13,14],[1,3,8,9,11,13,14],[1,4,5,6,8,10,14],[1,4,6,9,12,13,14],[1,4,7,8,9,11,12],[1,5,7,9,10,12,14],[1,6,7,8,10,11,13],[2,3,6,8,11,12,14],[2,3,7,9,10,12,13],[2,4,5,7,11,13,14],[2,4,7,8,10,12,14],[2,4,8,9,10,13,14],[2,5,6,7,8,9,13],[2,5,6,9,11,12,14],[3,4,5,9,10,11,13],[3,4,6,7,8,12,13],[3,4,6,7,9,11,14],[3,5,6,8,9,10,12],[3,5,7,8,10,11,14],[4,5,6,10,11,12,13]]; G[907]:=Group([(1,11,14)(2,5,10)(3,13,8)(6,12,7)]); # Design 908: autom. group order 3, simple, residual B[908]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,10,11,13],[1,2,6,7,8,12,14],[1,3,5,9,11,12,14],[1,3,7,8,11,13,14],[1,4,5,6,12,13,14],[1,4,6,8,9,12,13],[1,4,7,9,10,11,12],[1,5,7,8,9,10,13],[1,6,8,9,10,11,14],[2,3,7,8,9,12,13],[2,3,9,10,12,13,14],[2,4,5,8,9,10,14],[2,4,6,8,10,11,13],[2,4,7,8,11,12,14],[2,5,6,7,9,11,14],[2,5,6,9,11,12,13],[3,4,5,8,11,13,14],[3,4,6,7,9,10,14],[3,4,6,7,9,11,13],[3,5,6,7,8,10,12],[3,5,6,8,10,11,12],[4,5,7,10,12,13,14]]; G[908]:=Group([(1,9,14)(2,13,4)(3,12,5)(6,8,10)]); # Design 909: autom. group order 3, simple, residual B[909]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,6,7,8,11,14],[1,3,5,8,9,12,13],[1,3,7,8,9,11,14],[1,4,5,6,10,12,14],[1,4,6,9,11,12,13],[1,4,7,8,10,13,14],[1,5,9,10,11,13,14],[1,6,7,8,9,10,12],[2,3,7,8,10,12,13],[2,3,9,10,11,12,14],[2,4,5,8,9,10,14],[2,4,6,8,9,11,13],[2,4,7,9,12,13,14],[2,5,6,7,9,10,11],[2,5,6,8,12,13,14],[3,4,5,7,11,13,14],[3,4,6,7,9,10,13],[3,4,6,8,11,12,14],[3,5,6,7,9,12,14],[3,5,6,8,10,11,13],[4,5,7,8,10,11,12]]; G[909]:=Group([(1,2,9)(3,4,8)(6,14,12)(7,10,13)]); # Design 910: autom. group order 3, simple, residual B[910]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,8,9,14],[1,3,5,8,12,13,14],[1,3,8,9,11,13,14],[1,4,5,6,11,12,14],[1,4,6,7,8,12,13],[1,4,7,9,10,12,13],[1,5,8,9,10,11,12],[1,6,7,9,10,11,14],[2,3,7,8,10,12,14],[2,3,7,9,11,12,13],[2,4,5,9,10,13,14],[2,4,6,8,9,11,13],[2,4,7,8,11,12,14],[2,5,6,8,9,10,12],[2,5,6,11,12,13,14],[3,4,5,7,9,11,14],[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],[4,5,7,8,10,11,13]]; G[910]:=Group([(1,10,12)(2,8,13)(3,5,7)(4,11,9)]); # Design 911: autom. group order 3, simple, residual B[911]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,9,12,14],[1,3,7,8,11,13,14],[1,4,5,6,12,13,14],[1,4,6,8,9,12,13],[1,4,7,9,10,11,12],[1,5,8,9,10,11,13],[1,6,7,8,9,10,14],[2,3,7,8,9,12,13],[2,3,9,10,12,13,14],[2,4,5,8,9,10,14],[2,4,6,7,8,10,13],[2,4,7,8,11,12,14],[2,5,6,7,9,11,14],[2,5,6,9,11,12,13],[3,4,5,8,11,13,14],[3,4,6,7,9,11,13],[3,4,6,9,10,11,14],[3,5,6,7,8,10,12],[3,5,6,8,10,11,12],[4,5,7,10,12,13,14]]; G[911]:=Group([(1,9,14)(2,13,4)(3,12,5)(6,8,10)]); # Design 912: autom. group order 3, simple B[912]:=[[1,2,3,4,5,6,7],[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],[1,2,6,9,10,11,13],[1,3,5,7,9,12,14],[1,3,7,8,10,13,14],[1,4,5,6,11,12,14],[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],[2,3,7,8,9,11,12],[2,3,9,11,12,13,14],[2,4,5,8,10,12,13],[2,4,6,7,9,13,14],[2,4,7,8,10,12,14],[2,5,6,7,8,11,14],[2,5,6,9,10,12,14],[3,4,5,9,10,13,14],[3,4,6,7,9,10,11],[3,4,6,8,10,11,14],[3,5,6,7,10,12,13],[3,5,6,8,11,12,13],[4,5,7,8,9,11,13]]; G[912]:=Group([(1,3,12)(2,11,4)(5,9,14)(6,8,13)]); # Design 913: autom. group order 3, simple, residual B[913]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,11,13,14],[1,3,7,8,9,10,14],[1,4,5,6,12,13,14],[1,4,6,7,8,9,13],[1,4,7,9,11,12,14],[1,5,8,9,10,11,12],[1,6,7,8,10,12,13],[2,3,7,8,11,12,13],[2,3,7,9,12,13,14],[2,4,5,7,8,12,14],[2,4,6,7,9,10,11],[2,4,8,9,10,13,14],[2,5,6,8,9,11,13],[2,5,6,9,10,12,14],[3,4,5,8,10,12,13],[3,4,6,8,10,11,14],[3,4,6,9,11,12,13],[3,5,6,7,8,11,14],[3,5,6,7,9,10,12],[4,5,7,10,11,13,14]]; G[913]:=Group([(1,11,12)(2,8,10)(3,6,5)(4,14,9)]); # Design 914: autom. group order 3, simple B[914]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,4,5,6,11,12,14],[1,4,7,8,10,11,14],[1,4,7,9,10,12,13],[1,5,6,9,11,12,13],[1,6,8,9,10,12,14],[2,3,6,8,10,11,12],[2,3,7,9,12,13,14],[2,4,5,8,9,12,14],[2,4,6,7,9,10,14],[2,4,6,8,9,11,13],[2,5,7,9,10,11,12],[2,5,8,10,11,13,14],[3,4,5,10,12,13,14],[3,4,6,9,11,13,14],[3,4,7,8,11,12,13],[3,5,6,7,8,12,14],[3,5,6,7,9,10,11],[4,5,6,7,8,10,13]]; G[914]:=Group([(1,2,9)(3,4,8)(6,14,10)(7,12,13)]); # Design 915: autom. group order 3, simple, residual B[915]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,6,7,8,11,14],[1,3,5,8,9,10,11],[1,3,8,9,12,13,14],[1,4,5,6,12,13,14],[1,4,7,8,10,12,13],[1,4,7,9,10,11,14],[1,5,6,9,11,12,14],[1,6,7,8,9,10,13],[2,3,6,8,10,12,14],[2,3,7,9,11,13,14],[2,4,5,8,9,13,14],[2,4,6,7,8,9,12],[2,4,6,9,10,11,13],[2,5,7,9,10,12,14],[2,5,8,10,11,12,13],[3,4,5,7,10,13,14],[3,4,6,9,11,12,13],[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[915]:=Group([(1,2,9)(3,4,8)(6,13,10)(7,14,11)]); # Design 916: autom. group order 3, simple, residual B[916]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,11,12,13],[1,3,5,8,9,13,14],[1,3,7,9,11,12,14],[1,4,5,6,9,10,11],[1,4,7,8,10,12,14],[1,4,7,9,10,12,13],[1,5,6,7,8,10,14],[1,6,7,8,9,11,13],[2,3,6,7,9,12,14],[2,3,7,8,9,10,11],[2,4,5,7,8,12,13],[2,4,6,7,8,11,14],[2,4,6,9,10,13,14],[2,5,7,9,10,11,13],[2,5,8,9,10,12,14],[3,4,5,7,11,13,14],[3,4,6,8,9,12,13],[3,4,8,10,11,13,14],[3,5,6,7,10,12,13],[3,5,6,8,10,11,12],[4,5,6,9,11,12,14]]; G[916]:=Group([(2,4,12)(3,10,11)(5,7,13)(6,9,14)]); # Design 917: autom. group order 3, simple B[917]:=[[1,2,3,4,5,6,7],[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],[1,2,6,9,10,12,14],[1,3,5,8,9,11,12],[1,3,7,11,12,13,14],[1,4,5,6,12,13,14],[1,4,7,8,9,10,13],[1,4,7,8,10,12,14],[1,5,6,7,9,11,14],[1,6,8,9,10,11,13],[2,3,6,8,10,11,14],[2,3,7,8,9,13,14],[2,4,5,10,11,13,14],[2,4,6,8,9,12,14],[2,4,7,9,11,12,13],[2,5,6,7,8,12,13],[2,5,7,9,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,9,11,14],[3,4,6,8,11,12,13],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,5,6,7,8,10,11]]; G[917]:=Group([(1,5,10)(2,14,7)(3,13,8)(6,11,12)]); # Design 918: autom. group order 3, simple, residual B[918]:=[[1,2,3,4,5,6,7],[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],[1,2,6,9,11,12,14],[1,3,5,9,11,13,14],[1,3,7,8,12,13,14],[1,4,5,6,12,13,14],[1,4,7,8,9,11,13],[1,4,7,9,10,12,14],[1,5,6,8,9,10,12],[1,6,7,8,10,11,13],[2,3,6,9,10,13,14],[2,3,7,8,9,11,12],[2,4,5,7,11,13,14],[2,4,6,7,8,12,14],[2,4,8,9,10,13,14],[2,5,6,8,11,12,13],[2,5,7,9,10,12,13],[3,4,5,8,10,12,13],[3,4,6,8,10,11,14],[3,4,6,9,11,12,13],[3,5,6,7,8,9,14],[3,5,7,10,11,12,14],[4,5,6,7,9,10,11]]; G[918]:=Group([(1,2,13)(3,10,7)(4,9,8)(5,14,11)]); # Design 919: autom. group order 3, simple, residual B[919]:=[[1,2,3,4,5,6,7],[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],[1,2,6,9,10,12,14],[1,3,5,8,12,13,14],[1,3,7,9,12,13,14],[1,4,5,6,9,11,13],[1,4,7,8,10,11,12],[1,4,7,8,10,13,14],[1,5,6,9,10,11,14],[1,6,7,8,9,11,12],[2,3,6,8,11,12,14],[2,3,8,9,10,11,13],[2,4,5,7,11,12,14],[2,4,6,8,9,12,13],[2,4,7,9,11,13,14],[2,5,6,7,8,10,14],[2,5,7,9,10,12,13],[3,4,5,9,10,12,14],[3,4,6,7,8,9,14],[3,4,6,10,11,13,14],[3,5,6,7,11,12,13],[3,5,7,8,9,10,11],[4,5,6,8,10,12,13]]; G[919]:=Group([(2,9,13)(3,6,14)(4,11,8)(7,10,12)]); # Design 920: autom. group order 3, simple, residual B[920]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,13],[1,2,6,10,11,12,13],[1,3,5,8,11,12,14],[1,3,7,9,10,11,13],[1,4,5,6,12,13,14],[1,4,7,8,10,11,14],[1,4,8,9,12,13,14],[1,5,6,7,9,10,14],[1,6,7,8,9,11,12],[2,3,6,8,9,11,14],[2,3,7,8,12,13,14],[2,4,5,7,9,11,12],[2,4,6,9,10,12,14],[2,4,7,9,11,13,14],[2,5,6,8,10,11,14],[2,5,7,8,10,12,13],[3,4,5,10,11,13,14],[3,4,6,7,8,10,12],[3,4,6,8,9,10,13],[3,5,6,9,11,12,13],[3,5,7,9,10,12,14],[4,5,6,7,8,11,13]]; G[920]:=Group([(1,7,8)(3,13,5)(4,14,10)(6,12,9)]); # Design 921: autom. group order 3, simple, residual B[921]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,4,5,6,10,12,14],[1,4,7,8,9,10,13],[1,4,8,11,12,13,14],[1,5,6,7,9,11,14],[1,6,7,8,9,10,12],[2,3,6,8,10,12,14],[2,3,7,9,10,12,13],[2,4,5,9,12,13,14],[2,4,6,7,8,11,13],[2,4,7,9,10,11,14],[2,5,6,9,11,12,13],[2,5,7,8,10,11,14],[3,4,5,7,8,11,12],[3,4,6,8,9,13,14],[3,4,6,9,10,11,14],[3,5,6,8,10,11,13],[3,5,7,8,9,12,14],[4,5,6,7,10,12,13]]; G[921]:=Group([(1,9,14)(3,12,10)(4,13,8)(6,11,7)]); # Design 922: autom. group order 3, simple, residual B[922]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,12,13],[1,2,6,7,9,11,14],[1,3,5,9,12,13,14],[1,3,7,10,11,13,14],[1,4,5,6,10,12,14],[1,4,7,8,9,12,14],[1,4,8,10,11,13,14],[1,5,6,8,9,11,13],[1,6,7,8,9,10,12],[2,3,6,8,11,12,14],[2,3,7,8,9,10,14],[2,4,5,9,10,11,14],[2,4,6,7,12,13,14],[2,4,8,9,11,12,13],[2,5,6,9,10,13,14],[2,5,7,8,10,12,13],[3,4,5,7,8,13,14],[3,4,6,7,9,11,13],[3,4,6,9,10,12,13],[3,5,6,8,11,12,14],[3,5,7,9,10,11,12],[4,5,6,7,8,10,11]]; G[922]:=Group([(1,9,13)(3,14,12)(4,10,7)(6,11,8)]); # Design 923: autom. group order 3, simple, residual B[923]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,12,13],[1,2,6,7,9,11,14],[1,3,5,9,12,13,14],[1,3,7,10,11,13,14],[1,4,5,6,8,13,14],[1,4,7,8,9,12,14],[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],[2,3,7,8,9,10,14],[2,4,5,9,10,11,14],[2,4,6,7,12,13,14],[2,4,8,9,11,12,13],[2,5,6,9,10,13,14],[2,5,7,8,10,12,13],[3,4,5,7,10,12,14],[3,4,6,7,9,11,13],[3,4,6,9,10,12,13],[3,5,6,8,11,12,14],[3,5,7,8,9,11,13],[4,5,6,7,8,10,11]]; G[923]:=Group([(1,9,13)(3,14,12)(4,10,7)(6,11,8)]); # Design 924: autom. group order 3, simple B[924]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,7,10,12,14],[1,3,5,9,11,12,13],[1,3,8,9,10,12,14],[1,4,5,6,9,11,14],[1,4,7,9,10,13,14],[1,4,8,11,12,13,14],[1,5,6,7,8,12,13],[1,6,7,8,9,10,11],[2,3,6,11,12,13,14],[2,3,7,8,9,11,14],[2,4,5,8,10,13,14],[2,4,6,9,10,11,13],[2,4,7,8,9,12,13],[2,5,6,8,9,12,14],[2,5,7,9,10,11,12],[3,4,5,7,10,12,14],[3,4,6,7,8,11,14],[3,4,6,7,9,12,13],[3,5,6,9,10,13,14],[3,5,7,8,10,11,13],[4,5,6,8,10,11,12]]; G[924]:=Group([(1,11,13)(2,8,9)(3,7,4)(5,14,12)]); # Design 925: autom. group order 3, simple, residual B[925]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,9,10,14],[1,3,5,7,12,13,14],[1,3,8,9,11,13,14],[1,4,5,6,8,12,14],[1,4,7,9,10,11,12],[1,4,7,9,11,13,14],[1,5,6,8,11,12,13],[1,6,7,8,9,10,12],[2,3,6,7,9,12,14],[2,3,7,8,9,12,13],[2,4,5,9,11,12,14],[2,4,6,7,8,11,13],[2,4,8,10,12,13,14],[2,5,6,9,11,12,13],[2,5,7,8,10,11,14],[3,4,5,8,9,10,13],[3,4,6,7,8,11,14],[3,4,6,10,12,13,14],[3,5,6,9,10,11,14],[3,5,7,8,10,11,12],[4,5,6,7,9,10,13]]; G[925]:=Group([(2,8,13)(3,6,14)(4,12,7)(9,11,10)]); # Design 926: autom. group order 3, simple, residual B[926]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,12,13,14],[1,3,8,9,11,13,14],[1,4,5,6,9,12,14],[1,4,7,8,10,11,12],[1,4,7,8,10,13,14],[1,5,6,9,10,12,13],[1,6,7,8,9,11,12],[2,3,6,7,10,12,14],[2,3,7,9,11,12,13],[2,4,5,8,11,12,14],[2,4,6,7,8,9,13],[2,4,9,10,12,13,14],[2,5,6,8,11,12,13],[2,5,7,8,9,10,14],[3,4,5,9,10,11,13],[3,4,6,7,9,11,14],[3,4,6,8,12,13,14],[3,5,6,8,10,11,14],[3,5,7,8,9,10,12],[4,5,6,7,10,11,13]]; G[926]:=Group([(2,9,13)(3,6,14)(4,12,7)(8,10,11)]); # Design 927: autom. group order 3, simple, residual B[927]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,9,11,12],[1,2,6,8,11,13,14],[1,3,5,7,11,13,14],[1,3,9,10,11,12,14],[1,4,5,6,12,13,14],[1,4,7,8,9,10,14],[1,4,7,8,10,12,13],[1,5,6,8,9,12,14],[1,6,7,9,10,11,13],[2,3,6,7,10,12,14],[2,3,7,8,9,13,14],[2,4,5,10,11,13,14],[2,4,6,7,9,11,14],[2,4,8,9,11,12,13],[2,5,6,9,10,12,13],[2,5,7,8,10,12,14],[3,4,5,9,10,13,14],[3,4,6,7,9,12,13],[3,4,6,8,11,12,14],[3,5,6,8,9,10,11],[3,5,7,8,11,12,13],[4,5,6,7,8,10,11]]; G[927]:=Group([(1,5,10)(2,13,7)(3,14,8)(6,11,12)]); # Design 928: autom. group order 3, simple, residual B[928]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,9,10,12,14],[1,3,5,7,9,11,12],[1,3,8,11,12,13,14],[1,4,5,6,12,13,14],[1,4,7,8,9,10,14],[1,4,7,8,10,12,13],[1,5,6,8,9,11,14],[1,6,7,9,10,11,13],[2,3,6,7,10,11,14],[2,3,7,8,9,13,14],[2,4,5,9,10,13,14],[2,4,6,8,11,12,14],[2,4,7,9,11,12,13],[2,5,6,7,8,12,13],[2,5,8,9,10,11,12],[3,4,5,10,11,13,14],[3,4,6,7,9,12,14],[3,4,6,8,9,11,13],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,5,6,7,8,10,11]]; G[928]:=Group([(1,5,10)(2,14,8)(3,13,7)(6,11,12)]); # Design 929: autom. group order 3, simple, residual B[929]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,6,8,9,11,14],[1,3,5,7,8,13,14],[1,3,8,9,10,11,13],[1,4,5,6,9,12,14],[1,4,7,8,10,12,14],[1,4,7,9,10,13,14],[1,5,6,8,10,11,12],[1,6,7,9,11,12,13],[2,3,6,9,12,13,14],[2,3,7,8,11,12,14],[2,4,5,9,10,11,13],[2,4,6,7,10,11,14],[2,4,7,8,9,12,13],[2,5,6,7,8,10,13],[2,5,8,9,10,12,14],[3,4,5,11,12,13,14],[3,4,6,7,8,9,11],[3,4,6,8,10,12,13],[3,5,6,7,9,10,12],[3,5,7,9,10,11,14],[4,5,6,8,11,13,14]]; G[929]:=Group([(1,5,14)(2,11,10)(3,13,7)(6,12,9)]); # Design 930: autom. group order 3, simple B[930]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,13,14],[1,2,6,8,10,11,13],[1,3,5,7,11,12,13],[1,3,8,9,11,12,14],[1,4,5,6,9,12,14],[1,4,7,8,10,12,14],[1,4,7,9,10,13,14],[1,5,6,8,9,10,11],[1,6,7,9,11,12,13],[2,3,6,9,12,13,14],[2,3,7,8,9,11,14],[2,4,5,11,12,13,14],[2,4,6,7,8,11,12],[2,4,8,9,10,12,13],[2,5,6,7,9,10,12],[2,5,7,9,10,11,14],[3,4,5,9,10,11,13],[3,4,6,7,8,9,13],[3,4,6,7,10,11,14],[3,5,6,8,10,12,14],[3,5,7,8,10,12,13],[4,5,6,8,11,13,14]]; G[930]:=Group([(1,5,14)(2,13,7)(3,11,10)(6,12,9)]); # Design 931: autom. group order 3, simple, residual B[931]:=[[1,2,3,4,5,6,7],[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],[1,2,6,9,10,12,14],[1,3,5,7,9,11,14],[1,3,8,11,12,13,14],[1,4,5,6,10,13,14],[1,4,7,8,10,12,14],[1,4,7,9,11,12,13],[1,5,6,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,8,9,12,14],[2,3,7,8,9,10,13],[2,4,5,9,11,12,14],[2,4,6,8,11,13,14],[2,4,7,9,10,13,14],[2,5,6,7,11,12,13],[2,5,7,8,10,11,12],[3,4,5,8,10,12,13],[3,4,6,7,8,11,14],[3,4,6,7,9,12,13],[3,5,6,7,10,12,14],[3,5,9,10,11,13,14],[4,5,6,8,9,10,11]]; G[931]:=Group([(1,8,13)(2,11,9)(3,6,7)(5,14,12)]); # Design 932: autom. group order 3, simple, residual B[932]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,12,13,14],[1,3,7,8,9,10,13],[1,4,5,6,11,12,14],[1,4,7,8,9,11,14],[1,4,7,10,12,13,14],[1,5,6,7,8,10,12],[1,6,8,9,11,12,13],[2,3,6,8,10,12,14],[2,3,7,11,12,13,14],[2,4,5,9,10,13,14],[2,4,6,7,8,11,13],[2,4,7,8,9,12,14],[2,5,6,7,9,12,13],[2,5,8,9,10,11,12],[3,4,5,8,11,12,13],[3,4,6,7,9,10,12],[3,4,6,9,10,11,13],[3,5,6,7,9,11,14],[3,5,7,8,10,11,14],[4,5,6,8,10,13,14]]; G[932]:=Group([(1,11,13)(2,7,10)(3,14,4)(6,8,9)]); # Design 933: autom. group order 3, simple, residual B[933]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,11,12,14],[1,3,5,8,9,12,14],[1,3,7,8,9,10,13],[1,4,5,6,12,13,14],[1,4,7,8,11,13,14],[1,4,7,9,11,12,13],[1,5,6,9,10,11,14],[1,6,7,8,9,10,12],[2,3,6,7,9,13,14],[2,3,7,8,11,12,14],[2,4,5,8,9,11,13],[2,4,6,8,9,10,14],[2,4,9,10,12,13,14],[2,5,6,7,8,12,13],[2,5,7,9,10,11,12],[3,4,5,7,10,12,14],[3,4,6,7,9,11,14],[3,4,6,8,10,12,13],[3,5,6,9,11,12,13],[3,5,8,10,11,13,14],[4,5,6,7,8,10,11]]; G[933]:=Group([(1,2,9)(3,4,8)(6,13,12)(7,11,14)]); # Design 934: autom. group order 3, simple B[934]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,12,13,14],[1,3,7,9,11,12,13],[1,4,5,6,10,11,14],[1,4,7,8,10,13,14],[1,4,8,9,11,13,14],[1,5,6,7,11,12,14],[1,6,7,8,9,10,12],[2,3,6,7,8,13,14],[2,3,7,9,10,11,14],[2,4,5,7,9,12,14],[2,4,6,9,12,13,14],[2,4,7,10,11,12,13],[2,5,6,8,11,12,13],[2,5,8,9,10,11,14],[3,4,5,8,10,12,13],[3,4,6,7,8,9,11],[3,4,6,8,11,12,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,14],[4,5,6,7,9,10,13]]; G[934]:=Group([(1,6,8)(3,13,5)(4,14,11)(9,10,12)]); # Design 935: autom. group order 3, simple, residual B[935]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,10,13,14],[1,3,7,9,11,12,13],[1,4,5,6,11,12,14],[1,4,7,8,12,13,14],[1,4,8,10,11,13,14],[1,5,6,7,9,11,14],[1,6,7,8,9,10,12],[2,3,6,7,8,13,14],[2,3,7,9,11,12,14],[2,4,5,7,10,12,14],[2,4,6,9,12,13,14],[2,4,7,9,10,11,13],[2,5,6,8,11,12,13],[2,5,8,9,10,11,14],[3,4,5,8,9,12,13],[3,4,6,7,8,10,11],[3,4,6,8,9,11,14],[3,5,6,10,11,12,13],[3,5,7,8,10,12,14],[4,5,6,7,9,10,13]]; G[935]:=Group([(1,6,8)(3,13,5)(4,14,11)(9,10,12)]); # Design 936: autom. group order 3, simple, residual B[936]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,11,12,13],[1,3,7,8,9,12,14],[1,4,5,6,9,10,14],[1,4,7,9,10,11,13],[1,4,8,10,11,12,14],[1,5,6,7,11,12,14],[1,6,7,8,9,10,13],[2,3,6,7,8,10,11],[2,3,7,9,10,12,14],[2,4,5,7,12,13,14],[2,4,6,9,11,13,14],[2,4,7,8,9,11,14],[2,5,6,9,10,11,12],[2,5,8,9,10,12,13],[3,4,5,8,10,13,14],[3,4,6,7,9,12,13],[3,4,6,8,11,12,13],[3,5,6,8,9,11,14],[3,5,7,10,11,13,14],[4,5,6,7,8,10,12]]; G[936]:=Group([(1,12,14)(2,10,3)(4,9,13)(6,11,7)]); # Design 937: autom. group order 3, simple, residual B[937]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,9,13,14],[1,2,6,9,10,11,13],[1,3,5,10,12,13,14],[1,3,7,9,10,11,14],[1,4,5,6,11,12,14],[1,4,7,8,12,13,14],[1,4,8,9,11,12,13],[1,5,6,7,8,10,11],[1,6,7,8,9,10,12],[2,3,6,7,11,12,13],[2,3,8,9,10,12,14],[2,4,5,7,9,10,12],[2,4,6,8,9,11,14],[2,4,7,10,11,13,14],[2,5,6,8,10,12,13],[2,5,7,8,11,12,14],[3,4,5,8,10,11,13],[3,4,6,7,8,10,14],[3,4,6,7,9,12,13],[3,5,6,9,11,12,14],[3,5,7,8,9,11,13],[4,5,6,9,10,13,14]]; G[937]:=Group([(1,5,6)(2,14,10)(3,12,8)(4,11,7)]); # Design 938: autom. group order 3, simple B[938]:=[[1,2,3,4,5,6,7],[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],[1,3,7,8,11,12,13],[1,4,5,6,11,12,14],[1,4,7,9,11,13,14],[1,4,8,9,12,13,14],[1,5,6,8,10,11,14],[1,6,7,8,9,10,12],[2,3,6,9,12,13,14],[2,3,8,10,11,12,14],[2,4,5,7,8,12,14],[2,4,6,7,10,13,14],[2,4,7,8,10,11,13],[2,5,6,8,9,11,13],[2,5,7,9,11,12,14],[3,4,5,9,10,12,13],[3,4,6,7,8,9,11],[3,4,6,9,10,11,14],[3,5,6,7,11,12,13],[3,5,7,8,9,10,14],[4,5,6,8,10,12,13]]; G[938]:=Group([(1,6,9)(3,13,5)(4,14,11)(7,12,10)]); # Design 939: autom. group order 3, simple, residual B[939]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,9,12,13],[1,3,9,10,12,13,14],[1,4,5,6,11,12,13],[1,4,7,8,9,12,14],[1,4,7,8,11,13,14],[1,5,6,8,10,12,14],[1,6,7,8,9,10,11],[2,3,6,8,11,12,14],[2,3,7,9,11,12,14],[2,4,5,8,9,10,14],[2,4,6,9,10,12,13],[2,4,7,8,10,12,13],[2,5,6,7,9,13,14],[2,5,7,8,11,12,13],[3,4,5,7,10,11,14],[3,4,6,7,10,13,14],[3,4,6,8,9,11,13],[3,5,6,7,8,10,12],[3,5,8,9,10,11,13],[4,5,6,9,11,12,14]]; G[939]:=Group([(1,10,11)(3,4,12)(5,13,14)(6,9,7)]); # Design 940: autom. group order 3, simple, residual B[940]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,9,10,11],[1,3,9,11,12,13,14],[1,4,5,6,9,12,14],[1,4,7,8,10,11,14],[1,4,8,9,10,12,13],[1,5,6,7,11,12,13],[1,6,7,8,9,10,14],[2,3,6,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,7,10,13,14],[2,4,6,10,11,12,14],[2,4,7,8,9,11,13],[2,5,6,8,9,10,12],[2,5,7,9,11,12,14],[3,4,5,8,12,13,14],[3,4,6,7,8,11,12],[3,4,6,7,9,13,14],[3,5,6,8,10,11,13],[3,5,7,8,10,12,14],[4,5,6,9,10,11,13]]; G[940]:=Group([(1,5,10)(2,13,14)(3,11,7)(4,6,8)]); # Design 941: autom. group order 3, simple, residual B[941]:=[[1,2,3,4,5,6,7],[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],[1,3,7,8,11,12,13],[1,4,5,6,7,11,14],[1,4,7,8,9,13,14],[1,4,9,10,11,13,14],[1,5,6,8,11,12,14],[1,6,7,8,9,10,12],[2,3,6,9,12,13,14],[2,3,7,8,10,11,14],[2,4,5,8,10,12,14],[2,4,6,7,10,13,14],[2,4,7,8,11,12,13],[2,5,6,8,9,11,13],[2,5,7,9,11,12,14],[3,4,5,7,9,12,13],[3,4,6,8,9,10,11],[3,4,6,9,11,12,14],[3,5,6,7,10,11,13],[3,5,7,8,9,10,14],[4,5,6,8,10,12,13]]; G[941]:=Group([(1,6,9)(3,13,5)(4,14,11)(7,12,10)]); # Design 942: autom. group order 3, simple, residual B[942]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,7,9,11,12,13],[1,4,5,6,9,11,14],[1,4,7,8,9,10,12],[1,4,7,8,10,11,14],[1,5,6,7,11,12,13],[1,6,8,9,10,13,14],[2,3,6,7,8,11,14],[2,3,9,10,11,12,14],[2,4,5,9,12,13,14],[2,4,6,8,9,11,13],[2,4,7,8,12,13,14],[2,5,6,7,8,10,12],[2,5,7,9,10,11,13],[3,4,5,7,10,13,14],[3,4,6,7,9,10,13],[3,4,6,8,11,12,13],[3,5,6,8,9,10,12],[3,5,7,8,9,11,14],[4,5,6,10,11,12,14]]; G[942]:=Group([(1,12,14)(2,6,7)(3,5,8)(4,10,11)]); # Design 943: autom. group order 3, simple, residual B[943]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,12,13,14],[1,3,7,8,12,13,14],[1,4,5,6,9,11,14],[1,4,7,8,9,10,13],[1,4,7,9,10,12,14],[1,5,6,7,10,11,12],[1,6,8,9,10,11,13],[2,3,6,8,9,10,14],[2,3,7,9,10,11,12],[2,4,5,7,8,10,13],[2,4,6,7,12,13,14],[2,4,8,9,11,12,14],[2,5,6,9,10,12,13],[2,5,7,9,11,13,14],[3,4,5,10,11,13,14],[3,4,6,7,9,11,13],[3,4,6,8,11,12,13],[3,5,6,7,8,9,12],[3,5,7,8,10,11,14],[4,5,6,8,10,12,14]]; G[943]:=Group([(1,4,13)(2,11,14)(5,6,12)(7,8,9)]); # Design 944: autom. group order 3, simple, residual B[944]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,10,12,13],[1,3,7,8,9,10,14],[1,4,5,6,11,12,14],[1,4,7,8,10,11,13],[1,4,7,9,11,12,14],[1,5,6,7,8,10,12],[1,6,8,9,12,13,14],[2,3,6,8,9,11,12],[2,3,7,8,11,12,14],[2,4,5,7,9,13,14],[2,4,6,8,9,10,14],[2,4,7,8,10,12,13],[2,5,6,7,10,12,14],[2,5,9,10,11,12,13],[3,4,5,8,12,13,14],[3,4,6,7,9,12,13],[3,4,6,10,11,13,14],[3,5,6,7,8,11,13],[3,5,7,9,10,11,14],[4,5,6,8,9,10,11]]; G[944]:=Group([(1,2,11)(3,12,4)(5,8,14)(6,9,7)]); # Design 945: autom. group order 3, simple, residual B[945]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,10,12,13],[1,3,7,8,9,10,14],[1,4,5,6,11,12,14],[1,4,7,8,10,11,13],[1,4,7,9,11,12,14],[1,5,6,7,8,12,13],[1,6,8,9,10,12,14],[2,3,6,8,9,11,12],[2,3,7,8,11,12,14],[2,4,5,7,9,10,14],[2,4,6,8,9,13,14],[2,4,7,8,10,12,13],[2,5,6,7,10,12,14],[2,5,9,10,11,12,13],[3,4,5,8,12,13,14],[3,4,6,7,9,12,13],[3,4,6,10,11,13,14],[3,5,6,7,8,10,11],[3,5,7,9,11,13,14],[4,5,6,8,9,10,11]]; G[945]:=Group([(1,2,11)(3,12,4)(5,8,14)(6,9,7)]); # Design 946: autom. group order 3, simple, residual B[946]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,10,12,13],[1,3,7,8,9,13,14],[1,4,5,6,11,12,14],[1,4,7,8,10,11,13],[1,4,7,9,11,12,14],[1,5,6,7,8,10,12],[1,6,8,9,10,12,14],[2,3,6,8,9,11,12],[2,3,7,8,11,12,14],[2,4,5,7,9,10,14],[2,4,6,8,9,10,14],[2,4,7,8,10,12,13],[2,5,6,7,12,13,14],[2,5,9,10,11,12,13],[3,4,5,8,12,13,14],[3,4,6,7,9,12,13],[3,4,6,10,11,13,14],[3,5,6,7,8,10,11],[3,5,7,9,10,11,14],[4,5,6,8,9,11,13]]; G[946]:=Group([(1,2,11)(3,12,4)(5,8,14)(6,9,7)]); # Design 947: autom. group order 3, simple, residual B[947]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,10,12],[1,3,5,9,11,12,13],[1,3,7,8,11,12,13],[1,4,5,6,10,12,14],[1,4,7,8,9,11,14],[1,4,7,9,12,13,14],[1,5,6,7,8,10,13],[1,6,8,9,10,11,14],[2,3,6,8,9,12,14],[2,3,7,9,10,13,14],[2,4,5,7,8,11,14],[2,4,6,11,12,13,14],[2,4,7,8,10,12,13],[2,5,6,7,9,11,13],[2,5,8,9,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,9,10,11],[3,4,6,8,10,11,13],[3,5,6,7,11,12,14],[3,5,7,8,10,12,14],[4,5,6,8,9,12,13]]; G[947]:=Group([(1,4,11)(2,10,12)(5,6,13)(7,8,9)]); # Design 948: autom. group order 3, simple, residual B[948]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,10,13,14],[1,3,7,9,11,13,14],[1,4,5,6,9,12,13],[1,4,7,8,10,11,12],[1,4,7,8,11,13,14],[1,5,6,9,11,12,14],[1,6,7,8,9,10,12],[2,3,6,7,8,12,14],[2,3,7,8,9,12,13],[2,4,5,7,11,12,14],[2,4,6,8,9,11,13],[2,4,9,10,12,13,14],[2,5,6,8,10,11,14],[2,5,7,9,10,11,13],[3,4,5,7,9,10,14],[3,4,6,8,9,11,14],[3,4,6,10,12,13,14],[3,5,6,7,11,12,13],[3,5,8,9,10,11,12],[4,5,6,7,8,10,13]]; G[948]:=Group([(2,9,13)(3,6,14)(4,12,8)(7,11,10)]); # Design 949: autom. group order 3, simple, residual B[949]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,8,10,11],[1,3,5,8,9,10,13],[1,3,8,9,11,12,14],[1,4,5,6,12,13,14],[1,4,7,8,10,12,13],[1,4,7,9,10,11,14],[1,5,6,7,9,11,14],[1,6,7,8,9,12,13],[2,3,6,7,9,12,13],[2,3,7,8,11,13,14],[2,4,5,7,8,12,14],[2,4,6,8,9,11,12],[2,4,7,9,10,13,14],[2,5,6,8,9,10,14],[2,5,9,10,11,12,13],[3,4,5,7,9,11,13],[3,4,6,8,11,13,14],[3,4,6,9,10,12,14],[3,5,6,7,10,11,12],[3,5,7,8,10,12,14],[4,5,6,8,10,11,13]]; G[949]:=Group([(1,8,14)(2,6,10)(3,11,9)(5,13,7)]); # Design 950: autom. group order 3, simple, residual B[950]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,9,11,12,13],[1,3,5,7,9,11,14],[1,3,7,8,11,13,14],[1,4,5,6,8,10,14],[1,4,7,8,12,13,14],[1,4,7,9,10,12,13],[1,5,6,7,9,10,12],[1,6,8,9,10,11,14],[2,3,6,7,8,9,13],[2,3,8,9,10,12,14],[2,4,5,10,11,13,14],[2,4,6,7,8,12,14],[2,4,7,8,9,10,11],[2,5,6,7,11,12,14],[2,5,7,9,10,13,14],[3,4,5,9,12,13,14],[3,4,6,7,10,11,13],[3,4,6,9,11,12,14],[3,5,6,8,10,12,13],[3,5,7,8,10,11,12],[4,5,6,8,9,11,13]]; G[950]:=Group([(1,12,14)(2,3,10)(4,8,13)(6,11,9)]); # Design 951: autom. group order 3, simple, residual B[951]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,9,11,13],[1,3,7,9,10,12,14],[1,4,5,6,8,12,14],[1,4,7,8,10,11,14],[1,4,8,9,11,12,13],[1,5,6,7,10,11,12],[1,6,7,8,9,10,13],[2,3,6,7,8,11,12],[2,3,8,9,10,11,14],[2,4,5,7,10,13,14],[2,4,6,7,9,11,13],[2,4,7,8,10,12,13],[2,5,6,8,9,10,12],[2,5,7,9,11,12,14],[3,4,5,9,10,12,13],[3,4,6,7,8,9,14],[3,4,6,11,12,13,14],[3,5,6,8,10,11,13],[3,5,7,8,12,13,14],[4,5,6,9,10,11,14]]; G[951]:=Group([(1,4,13)(3,7,14)(5,10,6)(8,12,9)]); # Design 952: autom. group order 3, simple, residual B[952]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,9,11,13],[1,3,7,8,10,12,14],[1,4,5,6,11,12,14],[1,4,7,9,10,12,14],[1,4,8,9,11,12,13],[1,5,6,7,8,9,10],[1,6,7,8,10,11,13],[2,3,6,7,9,11,12],[2,3,8,9,10,11,14],[2,4,5,7,10,13,14],[2,4,6,7,8,12,13],[2,4,7,9,10,11,13],[2,5,6,8,10,11,12],[2,5,7,8,9,12,14],[3,4,5,8,10,12,13],[3,4,6,7,8,11,14],[3,4,6,8,9,13,14],[3,5,6,9,10,12,13],[3,5,7,11,12,13,14],[4,5,6,9,10,11,14]]; G[952]:=Group([(1,4,13)(3,7,14)(5,10,6)(8,11,12)]); # Design 953: autom. group order 3, simple, residual B[953]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,4,5,6,9,11,14],[1,4,7,8,10,11,14],[1,4,8,9,11,12,13],[1,5,6,7,10,11,12],[1,6,7,8,9,10,13],[2,3,6,8,9,10,11],[2,3,7,8,11,12,14],[2,4,5,7,10,13,14],[2,4,6,7,8,12,13],[2,4,7,9,10,11,13],[2,5,6,7,9,11,12],[2,5,8,9,10,12,14],[3,4,5,9,10,12,13],[3,4,6,7,8,9,14],[3,4,6,11,12,13,14],[3,5,6,8,10,11,13],[3,5,7,9,11,13,14],[4,5,6,8,10,12,14]]; G[953]:=Group([(1,4,13)(3,7,14)(5,10,6)(8,11,12)]); # Design 954: autom. group order 3, simple B[954]:=[[1,2,3,4,5,6,7],[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],[1,2,6,11,12,13,14],[1,3,5,7,11,12,14],[1,3,7,9,10,13,14],[1,4,5,6,10,12,13],[1,4,7,8,10,11,14],[1,4,8,9,10,12,14],[1,5,6,7,8,9,11],[1,6,7,8,9,12,13],[2,3,6,8,9,12,14],[2,3,7,9,10,11,13],[2,4,5,7,8,13,14],[2,4,6,7,9,10,14],[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],[3,4,6,7,9,11,12],[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[954]:=Group([(1,6,13)(2,8,10)(4,14,7)(5,11,9)]); # Design 955: autom. group order 3, simple, residual B[955]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,8,12,13],[1,3,8,9,10,12,14],[1,4,5,6,9,12,14],[1,4,7,8,10,11,14],[1,4,7,9,11,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,10,13],[2,3,6,7,9,10,14],[2,3,7,8,11,12,14],[2,4,5,7,10,13,14],[2,4,6,7,8,12,13],[2,4,8,9,10,12,13],[2,5,6,8,9,11,14],[2,5,7,9,10,11,12],[3,4,5,9,10,11,13],[3,4,6,7,8,9,11],[3,4,6,11,12,13,14],[3,5,6,8,10,11,13],[3,5,7,9,12,13,14],[4,5,6,8,10,12,14]]; G[955]:=Group([(1,6,8)(2,4,14)(3,12,11)(7,10,13)]); # Design 956: autom. group order 3, simple, residual B[956]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,11,12,13],[1,3,5,8,9,13,14],[1,3,7,9,11,12,14],[1,4,5,6,9,10,11],[1,4,7,8,10,12,14],[1,4,7,9,10,12,13],[1,5,6,7,8,10,14],[1,6,7,8,9,11,13],[2,3,6,7,8,9,12],[2,3,7,8,10,11,14],[2,4,5,7,8,12,13],[2,4,6,7,9,11,14],[2,4,8,9,10,13,14],[2,5,6,9,10,12,14],[2,5,7,9,10,11,13],[3,4,5,7,11,13,14],[3,4,6,8,10,11,13],[3,4,6,9,12,13,14],[3,5,6,7,10,12,13],[3,5,8,9,10,11,12],[4,5,6,8,11,12,14]]; G[956]:=Group([(2,4,12)(3,10,11)(5,7,13)(6,9,14)]); # Design 957: autom. group order 3, simple, residual B[957]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,11,12,13,14],[1,3,7,8,11,12,14],[1,4,5,6,10,12,14],[1,4,7,8,9,12,13],[1,4,7,9,10,12,13],[1,5,6,8,9,10,11],[1,6,7,8,9,11,14],[2,3,7,9,10,11,13],[2,3,8,9,10,12,14],[2,4,5,7,9,11,14],[2,4,6,8,11,12,13],[2,4,6,9,11,12,14],[2,5,6,7,8,12,13],[2,5,7,8,10,12,14],[3,4,5,8,9,13,14],[3,4,6,7,8,10,11],[3,4,6,8,10,13,14],[3,5,6,7,9,10,12],[3,5,6,9,11,12,13],[4,5,7,10,11,13,14]]; G[957]:=Group([(1,4,12)(2,11,3)(5,6,14)(7,9,13)]); # Design 958: autom. group order 3, simple, residual B[958]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,13,14],[1,3,5,10,12,13,14],[1,3,7,8,10,12,14],[1,4,5,6,11,12,14],[1,4,7,8,9,12,13],[1,4,7,9,11,12,13],[1,5,6,8,9,10,11],[1,6,7,9,10,11,14],[2,3,7,9,10,11,13],[2,3,8,9,11,12,14],[2,4,5,7,9,10,14],[2,4,6,8,10,12,13],[2,4,6,9,10,12,14],[2,5,6,7,11,12,13],[2,5,7,8,11,12,14],[3,4,5,9,11,13,14],[3,4,6,7,8,10,11],[3,4,6,8,11,13,14],[3,5,6,7,8,9,12],[3,5,6,9,10,12,13],[4,5,7,8,10,13,14]]; G[958]:=Group([(1,4,12)(2,10,3)(5,6,14)(7,9,13)]); # Design 959: autom. group order 3, simple, residual B[959]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,8,11,12,13,14],[1,4,5,6,10,12,14],[1,4,7,8,9,12,13],[1,4,7,9,10,12,13],[1,5,6,7,10,11,13],[1,6,7,8,9,11,14],[2,3,7,8,10,12,14],[2,3,7,9,10,11,13],[2,4,5,9,11,13,14],[2,4,6,7,8,11,12],[2,4,6,11,12,13,14],[2,5,6,8,9,12,13],[2,5,7,9,10,12,14],[3,4,5,7,8,13,14],[3,4,6,8,9,10,11],[3,4,6,9,10,13,14],[3,5,6,7,9,11,12],[3,5,6,8,10,12,13],[4,5,7,8,10,11,14]]; G[959]:=Group([(1,4,12)(2,11,3)(5,6,14)(7,13,9)]); # Design 960: autom. group order 3, simple, residual B[960]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,8,11,12,13,14],[1,4,5,6,10,12,14],[1,4,7,8,9,12,13],[1,4,7,9,10,12,13],[1,5,6,7,8,11,13],[1,6,7,9,10,11,14],[2,3,7,8,10,12,14],[2,3,7,9,10,11,13],[2,4,5,9,11,13,14],[2,4,6,7,8,11,12],[2,4,6,11,12,13,14],[2,5,6,9,10,12,13],[2,5,7,8,9,12,14],[3,4,5,7,10,13,14],[3,4,6,8,9,10,11],[3,4,6,8,9,13,14],[3,5,6,7,9,11,12],[3,5,6,8,10,12,13],[4,5,7,8,10,11,14]]; G[960]:=Group([(1,4,12)(2,11,3)(5,6,14)(7,13,9)]); # Design 961: autom. group order 3, simple, residual B[961]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,11,13,14],[1,3,7,9,11,12,14],[1,4,5,6,10,12,14],[1,4,7,8,9,12,14],[1,4,7,8,10,11,13],[1,5,6,8,9,10,11],[1,6,8,9,10,12,13],[2,3,7,8,9,10,11],[2,3,8,10,12,13,14],[2,4,5,8,9,12,13],[2,4,6,9,10,11,14],[2,4,6,9,11,13,14],[2,5,6,7,8,11,12],[2,5,7,9,10,12,14],[3,4,5,10,11,12,13],[3,4,6,7,8,10,14],[3,4,6,7,9,12,13],[3,5,6,7,9,10,13],[3,5,6,8,11,12,14],[4,5,7,8,11,13,14]]; G[961]:=Group([(1,5,12)(2,11,9)(3,8,7)(4,6,14)]); # Design 962: autom. group order 3, simple, residual B[962]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,8,9,11],[1,3,5,8,11,12,13],[1,3,7,9,10,11,13],[1,4,5,6,7,12,14],[1,4,7,9,12,13,14],[1,4,8,9,10,11,14],[1,5,6,8,9,10,14],[1,6,7,8,10,12,13],[2,3,7,8,9,12,14],[2,3,7,8,10,12,14],[2,4,5,8,10,13,14],[2,4,6,7,8,11,13],[2,4,6,9,10,12,13],[2,5,6,9,10,11,12],[2,5,7,9,11,13,14],[3,4,5,7,9,10,13],[3,4,6,8,11,13,14],[3,4,6,9,11,12,14],[3,5,6,7,10,11,14],[3,5,6,8,9,12,13],[4,5,7,8,10,11,12]]; G[962]:=Group([(1,6,13)(2,3,14)(4,11,5)(7,8,12)]); # Design 963: autom. group order 3, simple, residual B[963]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,10,12],[1,3,5,9,10,11,13],[1,3,7,8,10,12,13],[1,4,5,6,7,11,14],[1,4,7,11,12,13,14],[1,4,8,9,10,12,14],[1,5,6,8,9,12,14],[1,6,7,8,9,11,13],[2,3,7,8,9,11,14],[2,3,7,9,11,12,14],[2,4,5,9,12,13,14],[2,4,6,7,9,10,13],[2,4,6,8,11,12,13],[2,5,6,8,10,11,12],[2,5,7,8,10,13,14],[3,4,5,7,8,12,13],[3,4,6,8,10,11,14],[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[963]:=Group([(1,6,13)(2,3,14)(4,10,5)(7,9,11)]); # Design 964: autom. group order 3, simple, residual B[964]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,9,10,11,12],[1,3,5,7,11,12,13],[1,3,7,8,9,11,13],[1,4,5,6,8,12,14],[1,4,7,9,10,13,14],[1,4,8,9,10,11,14],[1,5,6,7,9,12,14],[1,6,7,8,10,12,13],[2,3,7,8,9,12,14],[2,3,7,8,10,12,14],[2,4,5,7,10,13,14],[2,4,6,7,8,11,13],[2,4,6,8,9,12,13],[2,5,6,7,9,10,11],[2,5,9,11,12,13,14],[3,4,5,9,10,12,13],[3,4,6,7,9,11,14],[3,4,6,11,12,13,14],[3,5,6,8,9,10,13],[3,5,6,8,10,11,14],[4,5,7,8,10,11,12]]; G[964]:=Group([(1,6,13)(2,3,14)(4,11,5)(7,12,8)]); # Design 965: autom. group order 3, simple, residual B[965]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,11,12],[1,3,5,7,10,11,13],[1,3,7,9,10,12,13],[1,4,5,6,9,11,14],[1,4,7,8,12,13,14],[1,4,8,9,10,12,14],[1,5,6,7,11,12,14],[1,6,7,8,9,11,13],[2,3,7,8,9,11,14],[2,3,7,9,11,12,14],[2,4,5,7,12,13,14],[2,4,6,7,9,10,13],[2,4,6,9,11,12,13],[2,5,6,7,8,10,12],[2,5,8,10,11,13,14],[3,4,5,8,11,12,13],[3,4,6,7,8,10,14],[3,4,6,10,11,13,14],[3,5,6,8,9,12,13],[3,5,6,9,10,12,14],[4,5,7,8,9,10,11]]; G[965]:=Group([(1,6,13)(2,3,14)(4,10,5)(7,11,9)]); # Design 966: autom. group order 3, simple, residual B[966]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,8,9,12,14],[1,3,7,9,10,12,13],[1,4,5,9,10,13,14],[1,4,6,7,8,10,12],[1,4,6,8,11,12,14],[1,5,6,11,12,13,14],[1,7,8,9,10,11,13],[2,3,6,8,10,13,14],[2,3,7,9,11,12,14],[2,4,5,10,11,12,13],[2,4,6,7,9,12,13],[2,4,8,9,10,11,14],[2,5,6,8,9,12,13],[2,5,7,8,10,12,14],[3,4,5,7,11,13,14],[3,4,6,8,9,11,13],[3,4,7,8,12,13,14],[3,5,6,7,8,10,11],[3,5,6,9,10,11,12],[4,5,6,7,9,10,14]]; G[966]:=Group([(2,10,14)(3,13,6)(4,9,11)(5,7,12)]); # Design 967: autom. group order 3, simple, residual B[967]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,8,9,12,14],[1,3,7,9,10,12,13],[1,4,5,9,10,13,14],[1,4,6,7,8,10,12],[1,4,6,8,11,12,14],[1,5,6,11,12,13,14],[1,7,8,9,10,11,13],[2,3,6,8,10,13,14],[2,3,7,9,11,12,14],[2,4,5,10,11,12,13],[2,4,6,7,9,12,13],[2,4,8,9,12,13,14],[2,5,6,8,9,10,11],[2,5,7,8,10,12,14],[3,4,5,7,11,13,14],[3,4,6,8,9,11,13],[3,4,7,8,10,11,14],[3,5,6,7,8,12,13],[3,5,6,9,10,11,12],[4,5,6,7,9,10,14]]; G[967]:=Group([(2,10,14)(3,13,6)(4,9,11)(5,7,12)]); # Design 968: autom. group order 3, simple, residual B[968]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,6,7,8,9,14],[1,3,5,8,10,11,13],[1,3,7,9,10,13,14],[1,4,5,9,12,13,14],[1,4,6,8,9,12,13],[1,4,6,8,10,11,14],[1,5,6,7,11,12,14],[1,7,8,9,10,11,12],[2,3,6,9,11,12,13],[2,3,8,9,11,12,14],[2,4,5,8,10,12,14],[2,4,6,7,9,10,11],[2,4,7,10,12,13,14],[2,5,6,8,11,13,14],[2,5,7,8,9,10,13],[3,4,5,7,9,11,14],[3,4,6,7,8,12,13],[3,4,7,8,11,13,14],[3,5,6,7,8,10,12],[3,5,6,9,10,12,14],[4,5,6,9,10,11,13]]; G[968]:=Group([(1,10,11)(3,4,12)(5,14,9)(6,7,13)]); # Design 969: autom. group order 3, simple B[969]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,11,12,14],[1,3,7,8,12,13,14],[1,4,5,10,11,12,13],[1,4,6,8,9,10,14],[1,4,6,8,9,11,12],[1,5,6,7,9,11,14],[1,7,8,9,10,12,13],[2,3,6,9,11,12,13],[2,3,7,8,9,10,11],[2,4,5,8,12,13,14],[2,4,6,7,10,12,14],[2,4,7,9,11,13,14],[2,5,6,7,8,10,12],[2,5,8,9,11,12,14],[3,4,5,9,10,13,14],[3,4,6,7,9,12,13],[3,4,7,8,10,11,14],[3,5,6,8,10,11,13],[3,5,6,9,10,12,14],[4,5,6,7,8,11,13]]; G[969]:=Group([(2,9,11)(3,8,12)(5,6,10)(7,14,13)]); # Design 970: autom. group order 3, simple, residual B[970]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,9,12,13],[1,3,7,8,9,10,14],[1,4,5,7,10,11,14],[1,4,6,7,9,11,13],[1,4,6,9,12,13,14],[1,5,6,8,11,13,14],[1,7,8,9,10,11,12],[2,3,6,7,9,12,14],[2,3,7,9,11,13,14],[2,4,5,8,9,11,14],[2,4,6,8,9,10,13],[2,4,7,8,10,13,14],[2,5,6,7,8,11,12],[2,5,9,10,11,12,13],[3,4,5,10,12,13,14],[3,4,6,8,11,12,14],[3,4,7,8,11,12,13],[3,5,6,7,8,10,13],[3,5,6,9,10,11,14],[4,5,6,7,9,10,12]]; G[970]:=Group([(1,2,8)(3,4,9)(6,14,12)(7,11,13)]); # Design 971: autom. group order 3, simple, residual B[971]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,12],[1,2,6,9,11,12,13],[1,3,5,8,11,13,14],[1,3,7,9,10,12,14],[1,4,5,7,9,10,13],[1,4,6,7,11,13,14],[1,4,6,8,9,12,14],[1,5,6,8,10,12,14],[1,7,8,9,10,11,13],[2,3,6,7,8,9,13],[2,3,8,9,10,11,14],[2,4,5,10,11,13,14],[2,4,6,8,10,12,13],[2,4,7,9,11,12,14],[2,5,6,7,9,10,14],[2,5,7,8,12,13,14],[3,4,5,9,12,13,14],[3,4,6,7,8,11,14],[3,4,7,8,10,12,13],[3,5,6,7,10,11,12],[3,5,6,9,11,12,13],[4,5,6,8,9,10,11]]; G[971]:=Group([(1,4,7)(2,14,10)(3,11,9)(5,6,13)]); # Design 972: autom. group order 3, simple, residual B[972]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,12],[1,2,6,8,9,11,13],[1,3,5,11,12,13,14],[1,3,7,9,10,12,14],[1,4,5,7,9,10,13],[1,4,6,7,11,13,14],[1,4,6,8,9,12,14],[1,5,6,8,10,12,14],[1,7,8,9,10,11,13],[2,3,6,7,9,12,13],[2,3,8,9,10,11,14],[2,4,5,10,11,13,14],[2,4,6,8,10,12,13],[2,4,7,9,11,12,14],[2,5,6,7,9,10,14],[2,5,7,8,12,13,14],[3,4,5,8,9,13,14],[3,4,6,7,8,11,14],[3,4,7,8,10,12,13],[3,5,6,7,8,10,11],[3,5,6,9,11,12,13],[4,5,6,9,10,11,12]]; G[972]:=Group([(1,4,7)(2,14,10)(3,11,9)(5,6,13)]); # Design 973: autom. group order 3, simple B[973]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,10,11,14],[1,3,7,8,9,12,14],[1,4,5,8,12,13,14],[1,4,6,7,8,9,11],[1,4,6,7,10,13,14],[1,5,6,9,10,12,13],[1,7,8,9,10,11,13],[2,3,6,8,9,13,14],[2,3,7,8,10,11,13],[2,4,5,8,9,10,13],[2,4,6,9,11,12,13],[2,4,7,8,10,12,14],[2,5,6,7,9,11,14],[2,5,7,9,10,12,14],[3,4,5,7,11,13,14],[3,4,6,7,9,10,12],[3,4,9,11,12,13,14],[3,5,6,7,8,12,13],[3,5,6,8,10,11,12],[4,5,6,8,10,11,14]]; G[973]:=Group([(2,8,13)(3,9,10)(4,7,6)(5,11,14)]); # Design 974: autom. group order 3, simple, residual B[974]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,11,12],[1,3,5,11,12,13,14],[1,3,7,9,11,12,14],[1,4,5,10,11,13,14],[1,4,6,7,8,10,14],[1,4,6,7,9,12,14],[1,5,6,8,9,11,13],[1,7,8,9,10,12,13],[2,3,6,9,10,12,13],[2,3,7,8,9,11,14],[2,4,5,9,10,12,14],[2,4,6,9,11,13,14],[2,4,7,8,11,12,13],[2,5,6,7,12,13,14],[2,5,7,8,10,11,14],[3,4,5,7,8,12,13],[3,4,6,7,10,11,13],[3,4,8,9,10,13,14],[3,5,6,7,9,10,11],[3,5,6,8,10,12,14],[4,5,6,8,9,11,12]]; G[974]:=Group([(1,7,11)(2,13,6)(3,12,9)(4,8,5)]); # Design 975: autom. group order 3, simple B[975]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,13,14],[1,2,6,7,8,9,11],[1,3,5,7,11,12,13],[1,3,7,8,11,12,14],[1,4,5,7,10,13,14],[1,4,6,8,10,12,13],[1,4,6,9,10,11,14],[1,5,6,9,11,12,14],[1,7,8,9,10,12,13],[2,3,6,8,12,13,14],[2,3,7,9,10,11,13],[2,4,5,11,12,13,14],[2,4,6,7,9,12,13],[2,4,7,8,10,11,14],[2,5,6,8,10,11,12],[2,5,7,9,10,12,14],[3,4,5,8,9,10,12],[3,4,6,7,9,12,14],[3,4,8,9,11,13,14],[3,5,6,7,8,10,14],[3,5,6,9,10,11,13],[4,5,6,7,8,11,13]]; G[975]:=Group([(1,3,9)(2,4,8)(6,12,13)(7,10,14)]); # Design 976: autom. group order 3, simple, residual B[976]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,9,12,14],[1,3,7,8,10,11,14],[1,4,5,7,11,12,13],[1,4,6,8,9,10,11],[1,4,6,11,12,13,14],[1,5,6,8,9,12,14],[1,7,8,9,10,12,13],[2,3,6,8,9,11,12],[2,3,9,11,12,13,14],[2,4,5,9,10,12,13],[2,4,6,7,8,12,14],[2,4,7,8,10,12,14],[2,5,6,7,8,11,13],[2,5,7,9,10,11,14],[3,4,5,8,10,13,14],[3,4,6,7,9,13,14],[3,4,7,8,9,11,13],[3,5,6,7,10,11,12],[3,5,6,8,10,12,13],[4,5,6,9,10,11,14]]; G[976]:=Group([(1,3,11)(2,12,4)(5,9,13)(7,8,14)]); # Design 977: autom. group order 3, simple, residual B[977]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,10,11],[1,2,6,7,8,12,13],[1,3,5,7,11,13,14],[1,3,7,9,10,12,13],[1,4,5,9,12,13,14],[1,4,6,7,8,10,14],[1,4,6,9,11,12,14],[1,5,6,8,11,12,13],[1,7,8,9,10,11,14],[2,3,6,7,9,11,14],[2,3,8,11,12,13,14],[2,4,5,7,11,12,14],[2,4,6,8,9,13,14],[2,4,7,9,10,12,13],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,8,10,13,14],[3,4,6,8,10,11,12],[3,4,7,8,9,11,13],[3,5,6,7,8,9,12],[3,5,6,9,10,12,14],[4,5,6,7,10,11,13]]; G[977]:=Group([(1,5,10)(2,11,8)(3,13,14)(4,6,7)]); # Design 978: autom. group order 3, simple, residual B[978]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,12],[1,2,6,7,8,9,13],[1,3,5,7,11,13,14],[1,3,7,9,10,12,13],[1,4,5,9,12,13,14],[1,4,6,7,8,10,14],[1,4,6,9,11,12,14],[1,5,6,8,11,12,13],[1,7,8,9,10,11,14],[2,3,6,7,11,12,14],[2,3,8,9,11,13,14],[2,4,5,7,9,11,14],[2,4,6,8,12,13,14],[2,4,7,9,10,12,13],[2,5,6,9,10,11,13],[2,5,7,8,10,12,14],[3,4,5,8,10,13,14],[3,4,6,8,9,10,11],[3,4,7,8,11,12,13],[3,5,6,7,8,9,12],[3,5,6,9,10,12,14],[4,5,6,7,10,11,13]]; G[978]:=Group([(1,5,10)(2,11,8)(3,13,14)(4,6,7)]); # Design 979: autom. group order 3, simple B[979]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,7,9,10,11,13],[1,4,5,9,11,12,14],[1,4,6,7,9,12,13],[1,4,6,8,11,12,13],[1,5,6,8,10,12,14],[1,7,8,9,10,11,14],[2,3,6,8,9,12,14],[2,3,7,8,11,12,13],[2,4,5,10,11,13,14],[2,4,6,9,11,13,14],[2,4,7,8,9,10,12],[2,5,6,7,10,11,12],[2,5,7,9,12,13,14],[3,4,5,7,8,11,14],[3,4,6,7,9,10,14],[3,4,8,10,12,13,14],[3,5,6,8,9,11,13],[3,5,6,9,10,11,12],[4,5,6,7,8,10,13]]; G[979]:=Group([(1,5,11)(2,6,7)(3,10,8)(4,12,14)]); # Design 980: autom. group order 3, simple, residual B[980]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,9,10,14],[1,3,7,8,9,12,13],[1,4,5,10,11,12,13],[1,4,6,7,10,12,14],[1,4,6,8,9,12,13],[1,5,6,8,11,12,14],[1,7,8,9,10,11,14],[2,3,6,9,11,12,14],[2,3,8,10,12,13,14],[2,4,5,7,8,12,14],[2,4,6,8,9,10,11],[2,4,7,9,12,13,14],[2,5,6,7,8,10,13],[2,5,7,9,10,11,12],[3,4,5,9,11,13,14],[3,4,6,7,8,11,14],[3,4,7,8,10,11,13],[3,5,6,7,11,12,13],[3,5,6,8,9,10,12],[4,5,6,9,10,13,14]]; G[980]:=Group([(1,4,14)(2,9,11)(3,13,8)(7,10,12)]); # Design 981: autom. group order 3, simple, residual B[981]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,8,9,10,12,13],[1,4,5,7,10,11,13],[1,4,6,7,10,12,14],[1,4,6,8,9,12,13],[1,5,6,8,11,12,14],[1,7,8,9,10,11,14],[2,3,6,9,11,12,14],[2,3,7,8,10,13,14],[2,4,5,8,10,12,14],[2,4,6,8,9,10,11],[2,4,7,9,12,13,14],[2,5,6,7,8,12,13],[2,5,7,9,10,11,12],[3,4,5,9,11,13,14],[3,4,6,7,8,11,14],[3,4,7,8,11,12,13],[3,5,6,7,8,9,10],[3,5,6,10,11,12,13],[4,5,6,9,10,13,14]]; G[981]:=Group([(1,4,14)(2,9,11)(3,13,8)(7,10,12)]); # Design 982: autom. group order 3, simple B[982]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,10,14],[1,3,5,7,11,13,14],[1,3,9,10,11,12,14],[1,4,5,8,12,13,14],[1,4,6,7,9,13,14],[1,4,6,8,10,11,14],[1,5,6,7,8,11,12],[1,7,8,9,10,12,13],[2,3,6,8,12,13,14],[2,3,7,8,9,12,14],[2,4,5,7,10,12,14],[2,4,6,11,12,13,14],[2,4,7,8,9,11,13],[2,5,6,9,10,11,13],[2,5,7,8,10,11,14],[3,4,5,9,10,13,14],[3,4,6,7,9,11,12],[3,4,7,8,10,11,13],[3,5,6,7,10,12,13],[3,5,6,8,9,11,14],[4,5,6,8,9,10,12]]; G[982]:=Group([(1,7,11)(3,14,13)(4,10,9)(6,8,12)]); # Design 983: autom. group order 3, simple, residual B[983]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,8,11,14],[1,3,5,8,9,12,13],[1,3,7,8,9,10,14],[1,4,5,7,11,13,14],[1,4,6,7,9,12,13],[1,4,6,8,12,13,14],[1,5,6,9,10,11,14],[1,7,8,9,10,11,12],[2,3,6,7,8,12,14],[2,3,9,11,12,13,14],[2,4,5,8,9,11,14],[2,4,6,8,9,10,13],[2,4,7,9,10,13,14],[2,5,6,7,9,10,12],[2,5,7,8,11,12,13],[3,4,5,7,10,12,14],[3,4,6,9,11,12,14],[3,4,7,8,10,11,13],[3,5,6,7,9,11,13],[3,5,6,8,10,13,14],[4,5,6,8,10,11,12]]; G[983]:=Group([(1,2,9)(3,4,8)(6,14,12)(7,11,13)]); # Design 984: autom. group order 3, simple, residual B[984]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,7,8,9,10,13],[1,4,5,7,11,12,13],[1,4,6,7,10,12,14],[1,4,6,8,9,12,13],[1,5,6,8,11,12,14],[1,7,8,9,10,11,14],[2,3,6,9,11,12,14],[2,3,7,8,12,13,14],[2,4,5,7,8,10,14],[2,4,6,8,9,10,11],[2,4,7,9,12,13,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,12],[3,4,5,9,11,13,14],[3,4,6,7,8,11,14],[3,4,8,10,11,12,13],[3,5,6,7,8,9,12],[3,5,6,7,10,11,13],[4,5,6,9,10,13,14]]; G[984]:=Group([(1,4,14)(2,9,11)(3,13,8)(7,10,12)]); # Design 985: autom. group order 3, simple, residual B[985]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,7,8,9,13,14],[1,4,5,7,10,12,14],[1,4,6,7,8,11,14],[1,4,6,8,10,12,13],[1,5,6,9,10,11,13],[1,7,8,9,10,11,12],[2,3,6,8,9,11,12],[2,3,7,8,10,12,14],[2,4,5,9,10,11,14],[2,4,6,7,9,12,13],[2,4,8,9,10,13,14],[2,5,6,7,8,10,13],[2,5,7,11,12,13,14],[3,4,5,7,8,11,13],[3,4,6,11,12,13,14],[3,4,7,9,10,11,13],[3,5,6,7,9,10,12],[3,5,6,8,10,11,14],[4,5,6,8,9,12,14]]; G[985]:=Group([(1,4,13)(2,11,14)(5,7,9)(6,10,12)]); # Design 986: autom. group order 3, simple, residual B[986]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,4,5,7,10,11,14],[1,4,6,7,9,12,13],[1,4,6,9,11,12,13],[1,5,6,8,10,11,12],[1,7,8,9,10,12,14],[2,3,6,7,8,11,12],[2,3,9,11,12,13,14],[2,4,5,9,10,12,14],[2,4,6,7,8,12,14],[2,4,7,8,9,10,13],[2,5,6,7,9,11,14],[2,5,7,10,11,12,13],[3,4,5,8,12,13,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,13],[3,5,6,7,9,10,13],[3,5,6,8,9,10,12],[4,5,6,8,11,13,14]]; G[986]:=Group([(1,6,13)(2,10,14)(4,9,12)]); # Design 987: autom. group order 3, simple, residual B[987]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,9,12,14],[1,3,7,8,9,10,13],[1,4,5,7,10,11,13],[1,4,6,7,10,12,14],[1,4,6,8,9,12,13],[1,5,6,8,11,12,14],[1,7,8,9,10,11,14],[2,3,6,9,10,11,14],[2,3,7,8,12,13,14],[2,4,5,8,10,12,14],[2,4,6,7,8,9,11],[2,4,7,9,12,13,14],[2,5,6,7,8,10,13],[2,5,7,9,10,11,12],[3,4,5,9,11,13,14],[3,4,6,7,8,11,14],[3,4,8,10,11,12,13],[3,5,6,7,11,12,13],[3,5,6,8,9,10,12],[4,5,6,9,10,13,14]]; G[987]:=Group([(1,4,14)(2,9,11)(3,13,8)(7,10,12)]); # Design 988: autom. group order 3, simple, residual B[988]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,9,13,14],[1,3,7,8,10,12,14],[1,4,5,8,10,11,14],[1,4,6,7,9,10,12],[1,4,6,7,11,12,13],[1,5,6,8,9,12,14],[1,7,8,9,10,11,13],[2,3,6,7,8,9,11],[2,3,9,10,11,12,14],[2,4,5,7,10,13,14],[2,4,6,8,12,13,14],[2,4,7,8,9,12,14],[2,5,6,7,8,10,11],[2,5,7,9,10,12,13],[3,4,5,9,11,12,13],[3,4,6,8,9,10,13],[3,4,7,8,11,13,14],[3,5,6,7,11,12,14],[3,5,6,8,10,12,13],[4,5,6,9,10,11,14]]; G[988]:=Group([(1,5,13)(3,7,14)(4,10,6)(8,12,11)]); # Design 989: autom. group order 3, simple, residual B[989]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,12,13,14],[1,3,7,8,10,11,14],[1,4,5,9,10,12,14],[1,4,6,7,8,12,13],[1,4,6,7,9,10,11],[1,5,6,9,11,12,14],[1,7,8,9,10,12,13],[2,3,6,7,9,11,12],[2,3,8,9,10,12,14],[2,4,5,7,10,13,14],[2,4,6,9,12,13,14],[2,4,7,8,11,12,14],[2,5,6,7,8,10,12],[2,5,7,9,10,11,13],[3,4,5,8,11,12,13],[3,4,6,8,9,10,13],[3,4,7,9,11,13,14],[3,5,6,7,8,9,14],[3,5,6,10,11,12,13],[4,5,6,8,10,11,14]]; G[989]:=Group([(1,5,13)(3,7,14)(4,10,6)(8,9,11)]); # Design 990: autom. group order 3, simple B[990]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,12,13,14],[1,3,7,8,10,11,14],[1,4,5,10,12,13,14],[1,4,6,7,9,11,14],[1,4,6,9,11,12,13],[1,5,6,7,8,11,12],[1,7,8,9,10,12,13],[2,3,6,7,9,12,13],[2,3,7,9,11,12,14],[2,4,5,7,10,11,13],[2,4,6,8,12,13,14],[2,4,7,8,11,13,14],[2,5,6,7,8,10,12],[2,5,9,10,11,12,14],[3,4,5,8,9,12,14],[3,4,6,8,10,11,12],[3,4,7,8,9,10,13],[3,5,6,8,11,13,14],[3,5,6,9,10,11,13],[4,5,6,7,9,10,14]]; G[990]:=Group([(1,3,8)(2,4,9)(6,12,13)(7,14,11)]); # Design 991: autom. group order 3, simple, residual B[991]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,9,11,12],[1,3,5,8,11,13,14],[1,3,7,8,10,12,13],[1,4,5,7,9,10,14],[1,4,6,7,8,12,14],[1,4,6,7,9,11,13],[1,5,6,9,10,12,14],[1,7,8,9,10,11,13],[2,3,6,7,9,12,13],[2,3,7,8,9,10,14],[2,4,5,7,10,11,13],[2,4,6,8,10,13,14],[2,4,7,8,11,12,14],[2,5,6,8,9,10,11],[2,5,7,9,12,13,14],[3,4,5,8,9,12,13],[3,4,6,9,11,13,14],[3,4,9,10,11,12,14],[3,5,6,7,8,11,14],[3,5,6,7,10,11,12],[4,5,6,8,10,12,13]]; G[991]:=Group([(1,6,12)(2,7,10)(4,5,11)(8,14,9)]); # Design 992: autom. group order 3, simple, residual B[992]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,11,13,14],[1,3,7,8,10,12,13],[1,4,5,7,9,10,14],[1,4,6,7,8,9,12],[1,4,6,7,11,13,14],[1,5,6,8,10,12,14],[1,7,8,9,10,11,13],[2,3,6,7,9,12,13],[2,3,7,8,9,10,14],[2,4,5,7,10,11,13],[2,4,6,8,10,13,14],[2,4,7,8,11,12,14],[2,5,6,8,9,10,11],[2,5,7,9,12,13,14],[3,4,5,8,12,13,14],[3,4,6,8,9,11,13],[3,4,9,10,11,12,14],[3,5,6,7,8,11,14],[3,5,6,7,10,11,12],[4,5,6,9,10,12,13]]; G[992]:=Group([(1,6,12)(2,7,10)(4,5,11)(8,14,9)]); # Design 993: autom. group order 3, simple B[993]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,9,11,12,13],[1,3,5,9,12,13,14],[1,3,7,8,11,12,14],[1,4,5,7,9,10,14],[1,4,6,7,8,10,12],[1,4,6,7,11,13,14],[1,5,6,8,9,11,14],[1,7,8,9,10,12,13],[2,3,6,7,8,9,11],[2,3,7,8,10,13,14],[2,4,5,8,12,13,14],[2,4,6,9,10,12,14],[2,4,7,9,11,13,14],[2,5,6,7,8,12,14],[2,5,7,9,10,11,12],[3,4,5,7,11,12,13],[3,4,6,8,9,12,13],[3,4,8,9,10,11,14],[3,5,6,7,9,10,13],[3,5,6,10,11,12,14],[4,5,6,8,10,11,13]]; G[993]:=Group([(1,4,7)(2,13,8)(3,11,12)(5,14,10)]); # Design 994: autom. group order 3, simple B[994]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,11,12,13],[1,3,7,8,9,13,14],[1,4,5,7,11,13,14],[1,4,6,7,9,12,13],[1,4,6,8,10,11,14],[1,5,6,7,10,12,14],[1,7,8,9,10,11,12],[2,3,6,7,8,11,12],[2,3,7,11,12,13,14],[2,4,5,7,8,12,14],[2,4,6,9,11,13,14],[2,4,7,8,9,10,13],[2,5,6,9,10,12,13],[2,5,7,9,10,11,14],[3,4,5,9,10,12,14],[3,4,6,7,9,10,11],[3,4,8,10,12,13,14],[3,5,6,7,8,10,13],[3,5,6,8,9,11,14],[4,5,6,8,11,12,13]]; G[994]:=Group([(1,10,11)(2,4,12)(5,14,7)(6,9,13)]); # Design 995: autom. group order 3, simple B[995]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,9,13,14],[1,3,5,10,12,13,14],[1,3,7,9,11,12,14],[1,4,5,7,9,11,13],[1,4,6,7,10,13,14],[1,4,6,8,11,12,14],[1,5,6,8,9,10,12],[1,7,8,9,10,11,13],[2,3,6,7,9,12,13],[2,3,8,9,10,11,14],[2,4,5,9,10,13,14],[2,4,7,8,11,12,13],[2,4,7,9,10,12,14],[2,5,6,7,8,10,11],[2,5,6,11,12,13,14],[3,4,5,8,11,13,14],[3,4,6,7,8,10,14],[3,4,6,8,9,12,13],[3,5,6,7,9,11,14],[3,5,7,8,10,12,13],[4,5,6,9,10,11,12]]; G[995]:=Group([(1,4,7)(2,14,11)(3,10,9)(5,6,13)]); # Design 996: autom. group order 3, simple B[996]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,10,11,14],[1,3,7,8,9,12,14],[1,4,5,8,12,13,14],[1,4,6,7,8,9,11],[1,4,6,7,10,13,14],[1,5,6,9,10,12,13],[1,7,8,9,10,11,13],[2,3,6,8,9,13,14],[2,3,7,8,10,11,13],[2,4,5,8,9,10,13],[2,4,7,9,12,13,14],[2,4,9,10,11,12,14],[2,5,6,7,8,10,12],[2,5,6,7,9,11,14],[3,4,5,7,11,13,14],[3,4,6,7,9,10,12],[3,4,6,8,11,12,13],[3,5,6,9,11,12,13],[3,5,7,8,10,12,14],[4,5,6,8,10,11,14]]; G[996]:=Group([(2,8,13)(3,9,10)(4,7,6)(5,11,14)]); # Design 997: autom. group order 3, simple B[997]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,8,9,11,14],[1,3,5,9,12,13,14],[1,3,7,8,11,13,14],[1,4,5,7,8,12,13],[1,4,6,7,9,10,13],[1,4,6,7,11,12,14],[1,5,6,9,10,12,14],[1,7,8,9,10,11,12],[2,3,6,7,11,12,13],[2,3,7,8,9,12,14],[2,4,5,7,9,11,14],[2,4,7,9,10,13,14],[2,4,8,10,12,13,14],[2,5,6,7,8,10,12],[2,5,6,9,11,12,13],[3,4,5,10,11,12,14],[3,4,6,8,9,10,11],[3,4,6,8,9,12,13],[3,5,6,7,8,10,14],[3,5,7,9,10,11,13],[4,5,6,8,11,13,14]]; G[997]:=Group([(1,8,11)(2,9,10)(5,6,12)(7,13,14)]); # Design 998: autom. group order 3, simple, residual B[998]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,12,13,14],[1,3,7,8,11,13,14],[1,4,5,7,8,10,13],[1,4,6,7,9,12,13],[1,4,6,7,10,11,14],[1,5,6,9,10,12,14],[1,7,8,9,10,11,12],[2,3,6,7,8,12,14],[2,3,7,9,10,11,13],[2,4,5,7,9,11,14],[2,4,7,9,12,13,14],[2,4,8,10,12,13,14],[2,5,6,7,8,10,12],[2,5,6,9,10,11,13],[3,4,5,10,11,12,14],[3,4,6,8,9,10,13],[3,4,6,8,9,11,12],[3,5,6,7,11,12,13],[3,5,7,8,9,10,14],[4,5,6,8,11,13,14]]; G[998]:=Group([(1,8,11)(2,9,12)(5,6,10)(7,13,14)]); # Design 999: autom. group order 3, simple B[999]:=[[1,2,3,4,5,6,7],[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],[1,2,6,9,12,13,14],[1,3,5,10,11,12,14],[1,3,7,8,10,12,13],[1,4,5,7,9,12,14],[1,4,6,7,8,9,10],[1,4,6,7,11,13,14],[1,5,6,8,11,12,13],[1,7,8,9,10,11,14],[2,3,6,7,9,11,12],[2,3,7,9,10,13,14],[2,4,5,8,10,13,14],[2,4,7,8,11,12,13],[2,4,8,9,11,12,14],[2,5,6,7,8,10,11],[2,5,6,7,10,12,14],[3,4,5,7,11,13,14],[3,4,6,8,10,12,14],[3,4,6,9,10,11,13],[3,5,6,8,9,11,14],[3,5,7,8,9,12,13],[4,5,6,9,10,12,13]]; G[999]:=Group([(1,4,7)(2,13,10)(3,11,8)(5,14,9)]); # Design 1000: autom. group order 3, simple, residual B[1000]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,12,13,14],[1,3,7,9,10,11,12],[1,4,5,9,10,11,14],[1,4,6,7,8,12,14],[1,4,6,8,11,12,14],[1,5,6,8,9,11,13],[1,7,8,9,10,12,13],[2,3,7,8,9,11,14],[2,3,8,11,12,13,14],[2,4,5,8,10,12,13],[2,4,6,7,9,12,13],[2,4,7,8,9,10,14],[2,5,6,7,10,11,12],[2,5,6,9,11,12,14],[3,4,5,9,12,13,14],[3,4,6,7,9,11,13],[3,4,6,8,10,11,13],[3,5,6,7,8,10,14],[3,5,6,8,9,10,12],[4,5,7,10,11,13,14]]; G[1000]:=Group([(1,6,14)(2,10,13)(4,8,12)]); # Design 1001: autom. group order 3, simple, residual B[1001]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,12,13,14],[1,3,5,8,9,12,13],[1,3,7,11,12,13,14],[1,4,5,9,11,13,14],[1,4,6,7,8,12,14],[1,4,6,7,9,10,13],[1,5,6,9,10,11,14],[1,7,8,9,10,11,12],[2,3,7,8,9,11,14],[2,3,7,9,10,13,14],[2,4,5,11,12,13,14],[2,4,6,7,9,11,12],[2,4,8,9,10,12,13],[2,5,6,7,8,11,13],[2,5,6,9,10,12,14],[3,4,5,7,10,12,14],[3,4,6,8,9,11,14],[3,4,6,8,10,13,14],[3,5,6,7,9,12,13],[3,5,6,8,10,11,12],[4,5,7,8,10,11,13]]; G[1001]:=Group([(1,8,11)(2,6,13)(3,14,5)(7,10,12)]); # Design 1002: autom. group order 3, simple, residual B[1002]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,10,11,13],[1,3,5,7,10,12,14],[1,3,8,9,10,11,14],[1,4,5,11,12,13,14],[1,4,6,7,8,12,14],[1,4,6,9,11,12,13],[1,5,6,7,8,9,11],[1,7,8,9,10,12,13],[2,3,7,8,11,12,13],[2,3,7,9,11,12,14],[2,4,5,8,10,12,13],[2,4,6,9,10,11,14],[2,4,7,8,9,13,14],[2,5,6,7,9,10,12],[2,5,6,8,11,12,14],[3,4,5,7,9,11,13],[3,4,6,7,10,13,14],[3,4,6,8,9,10,12],[3,5,6,8,10,11,13],[3,5,6,9,12,13,14],[4,5,7,8,10,11,14]]; G[1002]:=Group([(1,2,12)(3,11,4)(5,7,13)(6,8,14)]); # Design 1003: autom. group order 3, simple, residual B[1003]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,11,14],[1,3,5,9,10,12,14],[1,3,7,8,11,13,14],[1,4,5,7,11,12,13],[1,4,6,7,10,13,14],[1,4,6,8,10,12,14],[1,5,6,8,9,12,13],[1,7,8,9,10,11,12],[2,3,7,8,12,13,14],[2,3,7,9,10,12,13],[2,4,5,7,8,12,14],[2,4,6,9,12,13,14],[2,4,8,9,10,11,14],[2,5,6,7,8,10,11],[2,5,6,10,11,12,13],[3,4,5,10,11,13,14],[3,4,6,7,9,11,12],[3,4,6,8,9,11,13],[3,5,6,7,9,10,14],[3,5,6,8,11,12,14],[4,5,7,8,9,10,13]]; G[1003]:=Group([(1,5,9)(2,3,14)(4,10,11)(8,12,13)]); # Design 1004: autom. group order 3, simple, residual B[1004]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,11,14],[1,3,5,9,10,12,14],[1,3,7,8,11,13,14],[1,4,5,7,11,12,13],[1,4,6,7,8,10,14],[1,4,6,10,12,13,14],[1,5,6,8,9,12,13],[1,7,8,9,10,11,12],[2,3,7,8,12,13,14],[2,3,7,9,10,12,13],[2,4,5,7,8,12,14],[2,4,6,9,12,13,14],[2,4,8,9,10,11,14],[2,5,6,7,10,11,12],[2,5,6,8,10,11,13],[3,4,5,10,11,13,14],[3,4,6,7,9,11,13],[3,4,6,8,9,11,12],[3,5,6,7,9,10,14],[3,5,6,8,11,12,14],[4,5,7,8,9,10,13]]; G[1004]:=Group([(1,5,9)(2,3,14)(4,10,11)(8,12,13)]); # Design 1005: autom. group order 3, simple, residual B[1005]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,12,13,14],[1,3,5,7,8,12,13],[1,3,7,9,11,13,14],[1,4,5,9,11,13,14],[1,4,6,7,8,12,14],[1,4,6,7,9,10,13],[1,5,6,10,11,12,14],[1,7,8,9,10,11,12],[2,3,7,8,10,11,14],[2,3,7,9,12,13,14],[2,4,5,11,12,13,14],[2,4,6,7,9,11,12],[2,4,8,9,10,12,13],[2,5,6,7,8,11,13],[2,5,6,7,9,10,14],[3,4,5,7,10,12,14],[3,4,6,8,9,11,14],[3,4,6,8,10,13,14],[3,5,6,8,9,11,12],[3,5,6,9,10,12,13],[4,5,7,8,10,11,13]]; G[1005]:=Group([(1,8,11)(2,6,13)(3,14,5)(7,10,12)]); # Design 1006: autom. group order 3, simple, residual B[1006]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,13,14],[1,2,6,7,8,9,11],[1,3,5,7,11,12,13],[1,3,7,8,10,12,14],[1,4,5,10,11,13,14],[1,4,6,7,9,12,14],[1,4,6,8,11,12,13],[1,5,7,9,10,11,14],[1,6,8,9,10,12,13],[2,3,6,8,10,11,14],[2,3,7,9,12,13,14],[2,4,5,6,12,13,14],[2,4,7,8,11,12,14],[2,4,7,9,10,11,13],[2,5,6,9,10,11,12],[2,5,7,8,10,12,13],[3,4,5,8,9,10,12],[3,4,6,7,9,10,13],[3,4,8,9,11,13,14],[3,5,6,7,8,11,13],[3,5,6,9,11,12,14],[4,5,6,7,8,10,14]]; G[1006]:=Group([(1,3,9)(2,4,8)(6,10,13)(7,12,14)]); # Design 1007: autom. group order 3, simple, residual B[1007]:=[[1,2,3,4,5,6,7],[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],[1,3,7,9,10,11,12],[1,4,5,8,9,10,14],[1,4,6,7,8,11,13],[1,4,6,10,11,13,14],[1,5,7,8,11,12,13],[1,6,8,9,10,12,14],[2,3,6,8,12,13,14],[2,3,7,8,10,11,14],[2,4,5,6,11,12,14],[2,4,7,9,10,12,13],[2,4,8,9,11,12,13],[2,5,6,7,9,10,13],[2,5,7,8,10,11,14],[3,4,5,10,12,13,14],[3,4,6,7,9,11,14],[3,4,7,8,9,13,14],[3,5,6,8,9,11,12],[3,5,6,9,10,11,13],[4,5,6,7,8,10,12]]; G[1007]:=Group([(1,9,13)(2,11,14)(4,6,12)(7,8,10)]); # Design 1008: autom. group order 3, simple, residual B[1008]:=[[1,2,3,4,5,6,7],[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],[1,3,7,9,10,11,12],[1,4,5,8,11,12,14],[1,4,6,7,8,11,13],[1,4,6,10,11,13,14],[1,5,7,8,9,10,13],[1,6,8,9,10,12,14],[2,3,6,8,12,13,14],[2,3,7,8,10,11,14],[2,4,5,6,9,10,14],[2,4,7,9,10,12,13],[2,4,8,9,11,12,13],[2,5,6,7,11,12,13],[2,5,7,8,10,11,14],[3,4,5,10,12,13,14],[3,4,6,7,9,11,14],[3,4,7,8,9,13,14],[3,5,6,8,9,11,12],[3,5,6,9,10,11,13],[4,5,6,7,8,10,12]]; G[1008]:=Group([(1,9,13)(2,11,14)(4,6,12)(7,8,10)]); # Design 1009: autom. group order 3, simple, residual B[1009]:=[[1,2,3,4,5,6,7],[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],[1,3,5,10,12,13,14],[1,3,7,8,9,11,12],[1,4,5,7,9,10,14],[1,4,6,7,10,11,13],[1,4,6,8,11,13,14],[1,5,7,8,11,12,13],[1,6,8,9,10,12,14],[2,3,6,7,12,13,14],[2,3,7,8,10,11,14],[2,4,5,6,11,12,14],[2,4,7,8,9,12,13],[2,4,9,10,11,12,13],[2,5,6,8,9,10,13],[2,5,7,8,10,11,14],[3,4,5,8,12,13,14],[3,4,6,8,9,11,14],[3,4,7,9,10,13,14],[3,5,6,7,9,11,13],[3,5,6,9,10,11,12],[4,5,6,7,8,10,12]]; G[1009]:=Group([(1,9,13)(2,11,14)(4,6,12)(7,10,8)]); # Design 1010: autom. group order 3, simple, residual B[1010]:=[[1,2,3,4,5,6,7],[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],[1,3,5,10,12,13,14],[1,3,7,8,9,11,12],[1,4,5,7,11,12,14],[1,4,6,7,10,11,13],[1,4,6,8,11,13,14],[1,5,7,8,9,10,13],[1,6,8,9,10,12,14],[2,3,6,7,12,13,14],[2,3,7,8,10,11,14],[2,4,5,6,9,10,14],[2,4,7,8,9,12,13],[2,4,9,10,11,12,13],[2,5,6,8,11,12,13],[2,5,7,8,10,11,14],[3,4,5,8,12,13,14],[3,4,6,8,9,11,14],[3,4,7,9,10,13,14],[3,5,6,7,9,11,13],[3,5,6,9,10,11,12],[4,5,6,7,8,10,12]]; G[1010]:=Group([(1,9,13)(2,11,14)(4,6,12)(7,10,8)]); # Design 1011: autom. group order 3, simple, residual B[1011]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,8,12,13,14],[1,3,7,8,9,10,11],[1,4,5,7,9,13,14],[1,4,6,8,10,11,14],[1,4,6,9,11,12,13],[1,5,7,9,10,12,14],[1,6,7,8,10,12,13],[2,3,6,7,8,9,12],[2,3,7,11,12,13,14],[2,4,5,6,10,12,14],[2,4,7,9,10,12,13],[2,4,8,9,11,13,14],[2,5,6,8,9,10,13],[2,5,7,8,10,11,14],[3,4,5,7,10,11,13],[3,4,6,7,8,13,14],[3,4,8,9,10,12,14],[3,5,6,9,10,11,13],[3,5,6,9,11,12,14],[4,5,6,7,8,11,12]]; G[1011]:=Group([(2,7,12)(3,9,13)(4,14,8)(6,10,11)]); # Design 1012: autom. group order 3, simple, residual B[1012]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,8,9,12,13],[1,3,5,7,9,12,14],[1,3,7,8,11,12,13],[1,4,5,7,10,13,14],[1,4,6,7,8,10,11],[1,4,6,9,10,12,14],[1,5,8,9,10,11,12],[1,6,7,9,11,13,14],[2,3,6,7,8,12,14],[2,3,7,9,10,11,13],[2,4,5,6,9,11,13],[2,4,7,9,11,12,14],[2,4,8,10,12,13,14],[2,5,6,7,10,11,12],[2,5,7,8,9,10,14],[3,4,5,11,12,13,14],[3,4,6,8,9,11,14],[3,4,7,8,9,10,13],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13],[4,5,6,7,8,12,13]]; G[1012]:=Group([(1,13,14)(2,10,6)(4,9,8)(5,7,11)]); # Design 1013: autom. group order 3, simple B[1013]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,11,12,13,14],[1,3,7,8,10,11,14],[1,4,5,7,10,12,13],[1,4,6,7,9,11,14],[1,4,6,8,11,12,13],[1,5,7,9,10,12,14],[1,6,7,8,9,10,13],[2,3,6,7,8,10,12],[2,3,7,9,11,13,14],[2,4,5,6,7,13,14],[2,4,7,8,11,12,14],[2,4,9,10,12,13,14],[2,5,6,9,10,11,12],[2,5,7,8,10,11,13],[3,4,5,8,9,10,14],[3,4,6,9,10,11,13],[3,4,7,8,9,12,13],[3,5,6,7,9,11,12],[3,5,6,8,12,13,14],[4,5,6,8,10,11,14]]; G[1013]:=Group([(1,3,9)(2,4,8)(6,10,13)(7,14,11)]); # Design 1014: autom. group order 3, simple, residual B[1014]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,9,12,14],[1,3,7,8,10,11,14],[1,4,5,11,12,13,14],[1,4,6,7,9,10,11],[1,4,6,8,11,12,13],[1,5,8,9,10,12,14],[1,6,7,9,10,12,13],[2,3,6,9,11,12,14],[2,3,7,9,11,12,13],[2,4,5,9,10,12,13],[2,4,6,7,8,12,14],[2,4,7,8,10,12,14],[2,5,6,8,9,10,11],[2,5,7,10,11,13,14],[3,4,5,6,10,13,14],[3,4,7,8,9,10,13],[3,4,8,9,11,13,14],[3,5,6,7,8,12,13],[3,5,6,8,10,11,12],[4,5,6,7,9,11,14]]; G[1014]:=Group([(1,3,11)(2,12,4)(5,9,13)(7,14,8)]); # Design 1015: autom. group order 3, simple, residual B[1015]:=[[1,2,3,4,5,6,7],[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],[1,3,7,8,10,11,14],[1,4,5,7,12,13,14],[1,4,6,7,8,11,13],[1,4,6,9,10,13,14],[1,5,8,9,10,12,14],[1,6,7,8,9,11,12],[2,3,6,7,9,10,12],[2,3,7,9,11,13,14],[2,4,5,8,9,11,14],[2,4,6,8,10,12,13],[2,4,7,8,10,12,14],[2,5,6,10,11,13,14],[2,5,7,8,11,12,13],[3,4,5,6,11,12,14],[3,4,7,9,12,13,14],[3,4,8,9,10,11,13],[3,5,6,7,8,10,14],[3,5,6,8,9,12,13],[4,5,6,7,9,10,11]]; G[1015]:=Group([(1,4,7)(2,14,11)(3,12,8)(5,13,6)]); # Design 1016: autom. group order 3, simple B[1016]:=[[1,2,3,4,5,6,7],[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],[1,3,5,11,12,13,14],[1,3,7,8,9,10,13],[1,4,5,9,10,12,14],[1,4,6,7,8,12,14],[1,4,6,7,9,11,13],[1,5,7,8,9,11,14],[1,6,8,10,11,12,13],[2,3,6,7,9,11,12],[2,3,8,9,10,11,14],[2,4,5,8,11,12,13],[2,4,6,9,11,13,14],[2,4,7,8,10,13,14],[2,5,6,7,8,10,12],[2,5,7,9,12,13,14],[3,4,5,6,10,13,14],[3,4,7,8,11,12,14],[3,4,7,9,10,12,13],[3,5,6,7,10,11,14],[3,5,6,8,9,12,13],[4,5,6,8,9,10,11]]; G[1016]:=Group([(1,6,7)(2,11,8)(3,9,14)(5,13,12)]); # Design 1017: autom. group order 3, simple, residual B[1017]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,8,9,12],[1,3,5,7,12,13,14],[1,3,7,8,9,10,13],[1,4,5,7,10,11,14],[1,4,6,8,11,12,14],[1,4,6,9,10,12,13],[1,5,8,9,10,11,12],[1,6,7,9,11,13,14],[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],[2,4,7,9,10,11,13],[2,5,6,8,10,11,13],[2,5,7,9,10,12,14],[3,4,5,6,9,11,13],[3,4,7,8,9,11,14],[3,4,8,10,12,13,14],[3,5,6,7,10,11,12],[3,5,6,8,9,10,14],[4,5,6,7,8,12,13]]; G[1017]:=Group([(1,9,13)(3,12,11)(4,14,8)(6,7,10)]); # Design 1018: autom. group order 3, simple, residual B[1018]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,9,12,14],[1,3,7,8,10,11,14],[1,4,5,7,11,12,13],[1,4,6,8,9,10,11],[1,4,6,11,12,13,14],[1,5,8,9,10,12,14],[1,6,7,8,9,12,13],[2,3,6,8,9,11,12],[2,3,9,11,12,13,14],[2,4,5,9,10,12,13],[2,4,6,7,8,12,14],[2,4,7,8,10,12,14],[2,5,6,7,9,11,14],[2,5,7,8,10,11,13],[3,4,5,6,8,13,14],[3,4,7,8,9,11,13],[3,4,7,9,10,13,14],[3,5,6,7,10,11,12],[3,5,6,8,10,12,13],[4,5,6,9,10,11,14]]; G[1018]:=Group([(1,3,11)(2,12,4)(5,9,13)(7,8,14)]); # Design 1019: autom. group order 3, simple B[1019]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,9,11,13,14],[1,3,5,9,11,12,14],[1,3,7,8,12,13,14],[1,4,5,7,10,12,14],[1,4,6,7,8,9,14],[1,4,6,9,10,12,13],[1,5,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,7,8,12,13],[2,3,7,9,11,12,14],[2,4,5,8,12,13,14],[2,4,6,8,9,11,12],[2,4,7,8,10,11,14],[2,5,6,7,9,10,14],[2,5,7,9,10,12,13],[3,4,5,6,7,11,13],[3,4,7,9,10,11,13],[3,4,8,9,10,13,14],[3,5,6,8,9,10,12],[3,5,6,8,10,11,14],[4,5,6,11,12,13,14]]; G[1019]:=Group([(1,10,12)(2,9,14)(3,13,5)(6,7,11)]); # Design 1020: autom. group order 3, simple B[1020]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,7,9,10,12,13],[1,4,5,9,11,13,14],[1,4,6,7,8,12,13],[1,4,6,8,10,11,12],[1,5,7,8,10,13,14],[1,6,8,9,10,11,14],[2,3,6,8,9,11,13],[2,3,7,8,10,11,14],[2,4,5,8,10,12,14],[2,4,7,9,10,11,13],[2,4,8,9,12,13,14],[2,5,6,7,11,12,14],[2,5,6,9,10,12,13],[3,4,5,6,10,13,14],[3,4,6,7,8,9,14],[3,4,7,11,12,13,14],[3,5,6,8,11,12,13],[3,5,7,8,9,10,12],[4,5,6,7,9,10,11]]; G[1020]:=Group([(2,9,13)(3,14,7)(4,11,8)(6,12,10)]); # Design 1021: autom. group order 3, simple, residual B[1021]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,11,13,14],[1,3,7,8,9,12,13],[1,4,5,7,11,12,14],[1,4,6,7,9,11,13],[1,4,6,8,10,13,14],[1,5,8,9,10,12,14],[1,6,7,8,10,11,12],[2,3,6,7,8,11,14],[2,3,7,9,10,12,14],[2,4,5,10,11,12,13],[2,4,7,8,12,13,14],[2,4,8,9,11,13,14],[2,5,6,7,9,12,13],[2,5,6,8,9,10,11],[3,4,5,6,8,12,14],[3,4,6,9,10,12,13],[3,4,7,8,9,10,11],[3,5,6,8,11,12,13],[3,5,7,10,11,13,14],[4,5,6,7,9,10,14]]; G[1021]:=Group([(1,8,11)(2,14,5)(3,4,13)(6,12,10)]); # Design 1022: autom. group order 3, simple B[1022]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,12,13,14],[1,3,8,9,11,13,14],[1,4,5,9,11,12,14],[1,4,6,7,8,10,14],[1,4,6,9,10,11,13],[1,5,7,8,9,10,12],[1,6,7,8,11,12,13],[2,3,6,8,11,12,14],[2,3,7,9,10,11,12],[2,4,5,7,11,13,14],[2,4,7,8,10,12,13],[2,4,8,9,12,13,14],[2,5,6,7,9,11,13],[2,5,6,8,9,10,14],[3,4,5,6,8,12,13],[3,4,6,7,8,9,11],[3,4,7,9,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,11,14],[4,5,6,10,11,12,14]]; G[1022]:=Group([(1,8,14)(2,12,5)(3,13,11)(6,7,10)]); # Design 1023: autom. group order 3, simple B[1023]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,8,11,12,14],[1,3,7,8,9,10,12],[1,4,5,7,9,11,13],[1,4,6,7,11,12,14],[1,4,6,8,10,12,13],[1,5,7,9,10,13,14],[1,6,8,9,10,11,14],[2,3,6,7,8,9,14],[2,3,7,11,12,13,14],[2,4,5,9,10,12,14],[2,4,7,8,10,11,13],[2,4,8,9,12,13,14],[2,5,6,7,8,10,11],[2,5,6,9,10,11,12],[3,4,5,6,10,13,14],[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],[4,5,6,7,8,12,14]]; G[1023]:=Group([(2,9,11)(3,7,14)(4,13,8)(6,10,12)]); # Design 1024: autom. group order 3, simple, residual B[1024]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,7,8,11,13],[1,3,5,9,12,13,14],[1,3,8,10,11,12,13],[1,4,5,7,8,10,12],[1,4,6,7,9,10,14],[1,4,6,9,11,12,14],[1,5,8,9,10,11,14],[1,6,7,8,9,12,13],[2,3,7,8,9,10,14],[2,3,7,9,11,12,14],[2,4,5,8,12,13,14],[2,4,6,8,11,12,14],[2,4,7,9,10,12,13],[2,5,6,8,9,10,11],[2,5,6,9,10,12,13],[3,4,5,6,9,11,13],[3,4,6,8,10,13,14],[3,4,7,8,9,11,13],[3,5,6,7,8,12,14],[3,5,6,7,10,11,12],[4,5,7,10,11,13,14]]; G[1024]:=Group([(1,5,12)(2,6,11)(4,7,10)(9,14,13)]); # Design 1025: autom. group order 3, simple B[1025]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,6,7,8,9,11],[1,3,5,8,12,13,14],[1,3,9,10,11,12,13],[1,4,5,7,9,10,12],[1,4,6,7,10,13,14],[1,4,6,8,11,12,14],[1,5,8,9,10,11,14],[1,6,7,8,9,12,13],[2,3,7,8,9,10,13],[2,3,7,8,11,12,14],[2,4,5,9,12,13,14],[2,4,6,9,11,12,13],[2,4,7,8,10,12,14],[2,5,6,8,10,12,13],[2,5,6,9,10,11,14],[3,4,5,6,8,11,13],[3,4,6,8,9,10,14],[3,4,7,9,11,13,14],[3,5,6,7,9,12,14],[3,5,6,7,10,11,12],[4,5,7,8,10,11,13]]; G[1025]:=Group([(1,5,12)(2,6,11)(4,7,10)(8,14,13)]); # Design 1026: autom. group order 3, simple, residual B[1026]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,12],[1,2,6,7,8,9,13],[1,3,5,11,12,13,14],[1,3,7,8,10,13,14],[1,4,5,9,10,11,14],[1,4,6,8,9,12,14],[1,4,7,9,12,13,14],[1,5,6,8,10,11,13],[1,6,7,9,10,11,12],[2,3,6,9,11,12,13],[2,3,8,9,10,12,14],[2,4,5,6,12,13,14],[2,4,6,7,10,11,14],[2,4,8,9,10,11,13],[2,5,7,8,10,12,14],[2,5,7,9,11,13,14],[3,4,5,7,9,10,13],[3,4,6,7,8,11,14],[3,4,7,8,11,12,13],[3,5,6,7,9,10,12],[3,5,6,8,9,11,14],[4,5,6,8,10,12,13]]; G[1026]:=Group([(2,9,13)(3,4,14)(5,12,10)(6,8,7)]); # Design 1027: autom. group order 3, simple, residual B[1027]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,11,14],[1,2,6,9,12,13,14],[1,3,5,7,9,12,14],[1,3,7,8,11,12,13],[1,4,5,10,12,13,14],[1,4,6,7,11,13,14],[1,4,8,9,10,11,13],[1,5,6,8,9,11,12],[1,6,7,8,9,10,14],[2,3,6,9,10,11,14],[2,3,7,8,12,13,14],[2,4,5,6,8,13,14],[2,4,6,7,9,11,12],[2,4,7,9,10,12,13],[2,5,7,8,9,11,13],[2,5,8,10,11,12,14],[3,4,5,9,11,13,14],[3,4,6,8,11,12,14],[3,4,7,8,9,10,14],[3,5,6,7,10,11,13],[3,5,6,9,10,12,13],[4,5,6,7,8,10,12]]; G[1027]:=Group([(1,6,11)(2,3,10)(4,13,14)(8,9,12)]); # Design 1028: autom. group order 3, simple, residual B[1028]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,11,14],[1,2,6,8,9,12,14],[1,3,5,7,12,13,14],[1,3,7,9,11,13,14],[1,4,5,9,10,13,14],[1,4,6,9,11,12,14],[1,4,7,8,10,11,12],[1,5,6,8,11,12,13],[1,6,7,8,9,10,13],[2,3,6,10,11,13,14],[2,3,7,8,9,12,14],[2,4,5,6,12,13,14],[2,4,6,7,9,11,13],[2,4,7,9,10,12,13],[2,5,7,8,11,12,13],[2,5,8,9,10,11,14],[3,4,5,8,9,11,13],[3,4,6,7,8,11,14],[3,4,8,10,12,13,14],[3,5,6,7,9,10,12],[3,5,6,9,10,11,12],[4,5,6,7,8,10,14]]; G[1028]:=Group([(1,2,8)(3,9,6)(4,14,13)(5,12,10)]); # Design 1029: autom. group order 3, simple B[1029]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,10,12,14],[1,3,7,9,11,12,13],[1,4,5,9,10,13,14],[1,4,6,9,11,12,14],[1,4,7,8,10,11,14],[1,5,6,8,11,12,13],[1,6,7,8,9,10,13],[2,3,6,10,11,13,14],[2,3,7,8,9,12,14],[2,4,5,6,12,13,14],[2,4,6,7,9,10,11],[2,4,7,8,11,12,13],[2,5,7,9,10,12,13],[2,5,8,9,10,11,14],[3,4,5,8,9,11,13],[3,4,6,7,9,13,14],[3,4,8,10,12,13,14],[3,5,6,7,8,11,14],[3,5,6,9,10,11,12],[4,5,6,7,8,10,12]]; G[1029]:=Group([(1,2,8)(3,9,6)(4,14,13)(5,12,10)]); # Design 1030: autom. group order 3, simple, residual B[1030]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,11,14],[1,2,6,8,9,12,14],[1,3,5,7,12,13,14],[1,3,9,10,11,13,14],[1,4,5,9,12,13,14],[1,4,6,7,9,11,14],[1,4,7,8,10,11,12],[1,5,6,8,11,12,13],[1,6,7,8,9,10,13],[2,3,6,7,11,13,14],[2,3,7,8,9,12,14],[2,4,5,6,9,11,13],[2,4,6,10,12,13,14],[2,4,7,9,10,12,13],[2,5,7,8,11,12,13],[2,5,8,9,10,11,14],[3,4,5,8,10,13,14],[3,4,6,8,11,12,14],[3,4,7,8,9,11,13],[3,5,6,7,9,10,12],[3,5,6,9,10,11,12],[4,5,6,7,8,10,14]]; G[1030]:=Group([(1,2,8)(3,9,6)(4,14,13)(5,12,10)]); # Design 1031: autom. group order 3, simple, residual B[1031]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,8,10,12,14],[1,3,7,9,10,12,13],[1,4,5,11,12,13,14],[1,4,6,7,9,11,12],[1,4,7,8,9,10,14],[1,5,6,9,12,13,14],[1,6,7,8,10,11,14],[2,3,6,8,11,12,14],[2,3,7,9,11,12,14],[2,4,5,6,9,10,14],[2,4,6,7,10,12,13],[2,4,8,9,12,13,14],[2,5,7,8,10,12,13],[2,5,7,9,10,11,14],[3,4,5,7,11,13,14],[3,4,6,7,8,13,14],[3,4,8,9,10,11,13],[3,5,6,7,8,9,12],[3,5,6,9,10,11,13],[4,5,6,8,10,11,12]]; G[1031]:=Group([(1,3,10)(2,13,14)(4,9,8)(5,11,7)]); # Design 1032: autom. group order 3, simple, residual B[1032]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,6,8,9,11,14],[1,3,5,8,12,13,14],[1,3,7,8,9,13,14],[1,4,5,9,10,11,13],[1,4,6,9,10,12,14],[1,4,7,8,10,12,13],[1,5,6,7,10,11,14],[1,6,7,8,9,11,12],[2,3,6,7,9,10,13],[2,3,8,9,10,11,12],[2,4,5,6,8,12,14],[2,4,6,7,8,11,13],[2,4,7,9,12,13,14],[2,5,7,9,10,12,14],[2,5,8,10,11,13,14],[3,4,5,7,9,11,14],[3,4,6,11,12,13,14],[3,4,7,8,10,11,14],[3,5,6,7,8,10,12],[3,5,6,9,11,12,13],[4,5,6,8,9,10,13]]; G[1032]:=Group([(1,4,14)(2,11,13)(5,7,8)(6,10,12)]); # Design 1033: autom. group order 3, simple, residual B[1033]:=[[1,2,3,4,5,6,7],[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],[1,3,7,9,10,11,12],[1,4,5,7,8,11,13],[1,4,6,10,11,13,14],[1,4,8,9,10,12,14],[1,5,6,8,9,10,14],[1,6,7,8,11,12,13],[2,3,6,8,12,13,14],[2,3,7,8,10,11,14],[2,4,5,6,11,12,14],[2,4,6,7,9,10,13],[2,4,8,9,11,12,13],[2,5,7,8,10,11,14],[2,5,7,9,10,12,13],[3,4,5,10,12,13,14],[3,4,6,7,9,11,14],[3,4,7,8,9,13,14],[3,5,6,8,9,11,12],[3,5,6,9,10,11,13],[4,5,6,7,8,10,12]]; G[1033]:=Group([(1,9,13)(2,11,14)(4,6,12)(7,8,10)]); # Design 1034: autom. group order 3, simple, residual B[1034]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,7,9,10,11,14],[1,4,5,8,11,13,14],[1,4,6,7,8,10,12],[1,4,7,9,12,13,14],[1,5,6,9,11,12,14],[1,6,8,9,10,12,13],[2,3,6,7,9,12,13],[2,3,8,11,12,13,14],[2,4,5,6,12,13,14],[2,4,6,9,10,11,14],[2,4,7,8,9,11,12],[2,5,7,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,9,10,12,14],[3,4,6,8,9,11,13],[3,4,7,8,10,13,14],[3,5,6,7,8,9,14],[3,5,6,8,10,11,12],[4,5,6,7,10,11,13]]; G[1034]:=Group([(1,5,10)(2,13,8)(3,11,12)(4,7,6)]); # Design 1035: autom. group order 3, simple, residual B[1035]:=[[1,2,3,4,5,6,7],[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],[1,3,5,11,12,13,14],[1,3,7,8,9,10,14],[1,4,5,7,10,12,14],[1,4,6,7,9,11,14],[1,4,7,8,11,12,13],[1,5,6,8,10,13,14],[1,6,8,9,10,11,12],[2,3,6,7,12,13,14],[2,3,8,9,11,12,14],[2,4,5,6,8,11,14],[2,4,6,9,10,12,14],[2,4,7,8,10,11,13],[2,5,7,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,9,10,12,13],[3,4,6,10,11,13,14],[3,4,7,8,9,13,14],[3,5,6,7,8,11,12],[3,5,6,7,9,10,11],[4,5,6,8,9,12,13]]; G[1035]:=Group([(1,3,8)(2,9,10)(4,14,6)(5,7,13)]); # Design 1036: autom. group order 3, simple, residual B[1036]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,11,12],[1,3,5,8,9,12,13],[1,3,7,11,12,13,14],[1,4,5,7,9,10,14],[1,4,6,7,8,10,13],[1,4,7,9,11,13,14],[1,5,6,8,10,12,14],[1,6,8,9,10,11,12],[2,3,6,9,10,13,14],[2,3,7,8,9,10,11],[2,4,5,6,11,12,14],[2,4,6,7,8,12,13],[2,4,8,9,12,13,14],[2,5,7,8,10,11,14],[2,5,7,9,10,12,13],[3,4,5,10,11,12,13],[3,4,6,8,9,11,14],[3,4,7,8,10,12,14],[3,5,6,7,8,11,13],[3,5,6,7,9,12,14],[4,5,6,9,10,11,13]]; G[1036]:=Group([(2,10,13)(3,6,14)(4,8,11)(5,12,7)]); # Design 1037: autom. group order 3, simple, residual B[1037]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,11,12],[1,3,5,8,9,12,13],[1,3,7,11,12,13,14],[1,4,5,7,9,10,14],[1,4,6,7,8,10,13],[1,4,7,9,11,13,14],[1,5,6,8,10,12,14],[1,6,8,9,10,11,12],[2,3,6,9,10,13,14],[2,3,7,8,9,12,14],[2,4,5,6,11,12,14],[2,4,6,7,8,12,13],[2,4,8,9,10,11,13],[2,5,7,8,10,11,14],[2,5,7,9,10,12,13],[3,4,5,10,11,12,13],[3,4,6,8,9,11,14],[3,4,7,8,10,12,14],[3,5,6,7,8,11,13],[3,5,6,7,9,10,11],[4,5,6,9,12,13,14]]; G[1037]:=Group([(2,10,13)(3,6,14)(4,8,11)(5,12,7)]); # Design 1038: autom. group order 3, simple, residual B[1038]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,13,14],[1,2,6,7,8,9,11],[1,3,5,10,11,13,14],[1,3,7,8,11,12,13],[1,4,5,7,12,13,14],[1,4,6,7,9,10,13],[1,4,7,9,11,12,14],[1,5,6,8,10,11,12],[1,6,8,9,10,12,14],[2,3,6,9,11,12,13],[2,3,7,9,10,12,14],[2,4,5,6,11,12,14],[2,4,6,8,12,13,14],[2,4,7,8,10,11,13],[2,5,7,8,10,12,13],[2,5,7,9,10,11,14],[3,4,5,8,9,10,12],[3,4,6,7,8,10,14],[3,4,8,9,11,13,14],[3,5,6,7,8,11,14],[3,5,6,7,9,12,13],[4,5,6,9,10,11,13]]; G[1038]:=Group([(1,3,8)(2,4,9)(6,10,14)(7,12,13)]); # Design 1039: autom. group order 3, simple, residual B[1039]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,10,12,13],[1,3,7,10,12,13,14],[1,4,5,7,8,11,12],[1,4,6,9,11,12,14],[1,4,7,8,9,13,14],[1,5,6,8,9,10,14],[1,6,7,8,11,12,13],[2,3,6,7,9,11,13],[2,3,7,8,9,12,14],[2,4,5,6,12,13,14],[2,4,6,8,10,12,13],[2,4,7,9,10,12,14],[2,5,7,8,10,11,14],[2,5,8,9,11,12,13],[3,4,5,7,11,13,14],[3,4,6,8,10,11,14],[3,4,8,9,10,11,13],[3,5,6,7,8,10,12],[3,5,6,9,11,12,14],[4,5,6,7,9,10,13]]; G[1039]:=Group([(1,4,10)(2,11,12)(5,8,13)(6,14,7)]); # Design 1040: autom. group order 3, simple, residual B[1040]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,11,13,14],[1,3,7,11,12,13,14],[1,4,5,7,8,10,14],[1,4,6,9,10,12,14],[1,4,7,8,9,11,12],[1,5,6,8,9,12,13],[1,6,7,8,10,11,14],[2,3,6,7,9,10,11],[2,3,7,8,9,12,14],[2,4,5,6,11,12,14],[2,4,6,8,11,13,14],[2,4,7,9,12,13,14],[2,5,7,8,10,12,13],[2,5,8,9,10,11,14],[3,4,5,7,10,13,14],[3,4,6,8,10,12,13],[3,4,8,9,10,11,13],[3,5,6,7,8,11,12],[3,5,6,9,10,12,14],[4,5,6,7,9,11,13]]; G[1040]:=Group([(1,4,13)(2,10,14)(5,8,11)(6,12,7)]); # Design 1041: autom. group order 3, simple B[1041]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,9,11,14],[1,3,7,8,10,11,14],[1,4,5,7,12,13,14],[1,4,6,7,8,10,13],[1,4,9,10,11,12,13],[1,5,6,8,9,12,14],[1,6,7,8,9,10,12],[2,3,6,7,9,12,13],[2,3,8,9,10,12,14],[2,4,5,6,10,12,14],[2,4,6,7,8,9,11],[2,4,7,8,11,12,14],[2,5,7,8,10,13,14],[2,5,7,9,10,11,13],[3,4,5,8,9,10,13],[3,4,6,8,11,13,14],[3,4,7,9,12,13,14],[3,5,6,7,10,11,12],[3,5,6,8,11,12,13],[4,5,6,9,10,11,14]]; G[1041]:=Group([(1,4,7)(2,14,10)(3,12,8)(5,13,6)]); # Design 1042: autom. group order 3, simple, residual B[1042]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,4,5,7,11,13,14],[1,4,6,7,9,10,14],[1,4,9,11,12,13,14],[1,5,6,8,10,11,12],[1,6,7,8,9,10,13],[2,3,6,7,9,11,12],[2,3,9,10,11,13,14],[2,4,5,6,12,13,14],[2,4,6,7,8,11,13],[2,4,7,8,10,12,14],[2,5,7,8,10,11,14],[2,5,7,9,10,12,13],[3,4,5,8,9,10,14],[3,4,6,8,10,11,13],[3,4,7,8,9,12,13],[3,5,6,7,9,11,14],[3,5,6,8,12,13,14],[4,5,6,9,10,11,12]]; G[1042]:=Group([(1,3,8)(2,4,9)(6,10,13)(7,14,11)]); # Design 1043: autom. group order 3, simple B[1043]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,8,12,14],[1,3,7,9,10,12,14],[1,4,5,7,11,13,14],[1,4,6,7,9,10,13],[1,4,8,10,11,12,13],[1,5,6,9,11,12,14],[1,6,7,8,9,10,11],[2,3,6,7,11,12,13],[2,3,8,9,10,11,14],[2,4,5,6,10,11,14],[2,4,6,7,8,9,12],[2,4,7,9,11,12,14],[2,5,7,8,10,12,13],[2,5,7,9,10,13,14],[3,4,5,9,10,12,13],[3,4,6,8,9,13,14],[3,4,7,8,11,13,14],[3,5,6,7,8,10,11],[3,5,6,9,11,12,13],[4,5,6,8,10,12,14]]; G[1043]:=Group([(1,4,7)(2,14,10)(3,11,9)(5,13,6)]); # Design 1044: autom. group order 3, simple, residual B[1044]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,8,11,12,14],[1,3,5,11,12,13,14],[1,3,7,9,10,13,14],[1,4,5,7,9,12,14],[1,4,6,7,9,12,13],[1,4,7,8,10,11,14],[1,5,6,7,8,10,11],[1,6,8,9,10,12,13],[2,3,6,7,8,9,14],[2,3,7,9,10,11,12],[2,4,5,6,10,13,14],[2,4,6,7,11,12,13],[2,4,8,9,10,12,14],[2,5,7,8,12,13,14],[2,5,7,9,10,11,13],[3,4,5,8,10,12,13],[3,4,6,8,9,11,13],[3,4,7,8,11,13,14],[3,5,6,7,8,10,12],[3,5,6,9,11,12,14],[4,5,6,9,10,11,14]]; G[1044]:=Group([(1,4,13)(2,8,14)(5,11,10)(6,9,7)]); # Design 1045: autom. group order 3, simple B[1045]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,10,12,13,14],[1,3,7,8,11,12,14],[1,4,5,7,11,13,14],[1,4,6,9,11,13,14],[1,4,7,9,10,11,12],[1,5,6,7,8,10,12],[1,6,7,8,9,10,13],[2,3,6,7,9,10,11],[2,3,7,9,12,13,14],[2,4,5,6,7,12,13],[2,4,6,8,11,12,14],[2,4,7,8,10,13,14],[2,5,7,8,10,11,14],[2,5,9,10,11,12,13],[3,4,5,8,9,10,14],[3,4,6,8,10,11,13],[3,4,7,8,9,12,13],[3,5,6,7,9,11,14],[3,5,6,8,11,12,13],[4,5,6,9,10,12,14]]; G[1045]:=Group([(1,3,8)(2,4,9)(6,10,13)(7,14,11)]); # Design 1046: autom. group order 3, simple, residual B[1046]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,10,12,14],[1,3,8,9,10,12,13],[1,4,5,9,12,13,14],[1,4,6,8,9,11,12],[1,4,7,8,10,11,14],[1,5,6,11,12,13,14],[1,6,7,8,9,10,14],[2,3,6,8,11,12,14],[2,3,7,9,11,12,14],[2,4,5,6,9,10,14],[2,4,7,8,10,12,13],[2,4,7,9,12,13,14],[2,5,6,8,10,12,13],[2,5,8,9,10,11,14],[3,4,5,8,11,13,14],[3,4,6,7,8,13,14],[3,4,6,9,10,11,13],[3,5,6,7,8,9,12],[3,5,7,9,10,11,13],[4,5,6,7,10,11,12]]; G[1046]:=Group([(1,3,10)(2,13,14)(4,9,7)(5,11,8)]); # Design 1047: autom. group order 3, simple B[1047]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,6,7,8,11,14],[1,3,5,7,9,10,13],[1,3,8,9,10,11,14],[1,4,5,8,12,13,14],[1,4,6,8,9,12,13],[1,4,7,9,11,13,14],[1,5,6,8,10,12,14],[1,6,7,9,10,11,12],[2,3,6,9,12,13,14],[2,3,8,9,11,12,13],[2,4,5,6,9,11,14],[2,4,7,8,9,10,14],[2,4,7,10,12,13,14],[2,5,6,8,10,11,13],[2,5,7,8,9,10,12],[3,4,5,10,11,12,14],[3,4,6,7,8,10,13],[3,4,6,7,8,11,12],[3,5,6,7,9,12,14],[3,5,7,8,11,13,14],[4,5,6,9,10,11,13]]; G[1047]:=Group([(1,7,11)(2,6,12)(5,8,10)(9,13,14)]); # Design 1048: autom. group order 3, simple, residual B[1048]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,8,10,12,14],[1,3,7,9,10,11,14],[1,4,5,9,11,12,13],[1,4,6,8,9,13,14],[1,4,7,8,10,12,13],[1,5,6,8,9,10,11],[1,6,7,9,11,12,14],[2,3,6,8,9,11,13],[2,3,7,8,9,12,14],[2,4,5,6,11,12,14],[2,4,7,8,9,10,11],[2,4,9,10,12,13,14],[2,5,6,7,9,10,12],[2,5,8,10,11,13,14],[3,4,5,7,9,13,14],[3,4,6,7,10,11,13],[3,4,6,8,11,12,14],[3,5,6,9,10,12,13],[3,5,7,8,11,12,13],[4,5,6,7,8,10,14]]; G[1048]:=Group([(1,5,12)(2,6,7)(3,10,8)(4,9,13)]); # Design 1049: autom. group order 3, simple, residual B[1049]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,9,13,14],[1,2,6,9,10,11,13],[1,3,5,7,10,11,14],[1,3,7,9,10,12,13],[1,4,5,8,9,11,12],[1,4,6,8,10,11,14],[1,4,7,8,12,13,14],[1,5,6,11,12,13,14],[1,6,7,8,9,10,12],[2,3,6,9,11,12,14],[2,3,7,8,11,12,13],[2,4,5,6,10,12,13],[2,4,7,9,11,12,14],[2,4,8,9,10,13,14],[2,5,6,7,8,10,12],[2,5,7,8,10,11,14],[3,4,5,10,12,13,14],[3,4,6,7,8,11,13],[3,4,6,7,9,10,14],[3,5,6,8,9,12,14],[3,5,8,9,10,11,13],[4,5,6,7,9,11,13]]; G[1049]:=Group([(1,13,14)(2,8,6)(4,11,9)(5,7,12)]); # Design 1050: autom. group order 3, simple, residual B[1050]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,8,9,10,12],[1,3,7,9,11,12,14],[1,4,5,8,10,13,14],[1,4,6,7,9,12,14],[1,4,7,8,9,11,13],[1,5,6,7,10,12,13],[1,6,8,9,10,11,14],[2,3,6,7,8,9,13],[2,3,7,8,10,11,14],[2,4,5,6,9,11,14],[2,4,7,8,10,12,14],[2,4,7,9,10,12,13],[2,5,6,9,10,11,12],[2,5,8,9,12,13,14],[3,4,5,11,12,13,14],[3,4,6,8,11,12,13],[3,4,6,9,10,13,14],[3,5,6,7,8,12,14],[3,5,7,9,10,11,13],[4,5,6,7,8,10,11]]; G[1050]:=Group([(1,10,11)(2,12,3)(5,7,13)(6,9,14)]); # Design 1051: autom. group order 3, simple, residual B[1051]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,8,12,13,14],[1,3,7,8,9,10,14],[1,4,5,9,11,13,14],[1,4,6,7,9,12,14],[1,4,7,8,10,11,14],[1,5,6,7,9,11,12],[1,6,8,9,10,12,13],[2,3,6,7,9,13,14],[2,3,7,8,9,11,12],[2,4,5,6,8,12,14],[2,4,7,9,10,12,13],[2,4,8,9,11,13,14],[2,5,6,9,10,11,14],[2,5,7,8,10,12,14],[3,4,5,9,10,12,13],[3,4,6,7,8,11,13],[3,4,6,10,11,12,14],[3,5,6,8,9,10,11],[3,5,7,11,12,13,14],[4,5,6,7,8,10,13]]; G[1051]:=Group([(1,5,10)(2,11,7)(3,9,8)(4,6,14)]); # Design 1052: autom. group order 3, simple, residual B[1052]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,11],[1,2,6,8,11,12,13],[1,3,5,9,11,13,14],[1,3,8,9,10,12,14],[1,4,5,8,12,13,14],[1,4,6,7,9,12,14],[1,4,7,9,10,11,13],[1,5,6,7,11,12,14],[1,6,7,8,9,10,13],[2,3,6,7,8,9,14],[2,3,7,11,12,13,14],[2,4,5,6,9,12,13],[2,4,7,8,10,12,14],[2,4,8,9,11,13,14],[2,5,6,9,10,11,14],[2,5,7,9,10,12,13],[3,4,5,7,10,13,14],[3,4,6,7,8,11,13],[3,4,6,9,10,11,12],[3,5,6,8,10,12,13],[3,5,7,8,9,11,12],[4,5,6,8,10,11,14]]; G[1052]:=Group([(1,5,10)(2,11,7)(3,14,13)(4,6,9)]); # Design 1053: autom. group order 3, simple B[1053]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,12,13,14],[1,3,5,7,10,11,12],[1,3,8,9,10,11,13],[1,4,5,7,9,12,14],[1,4,6,8,9,10,14],[1,4,9,11,12,13,14],[1,5,6,7,8,11,13],[1,6,7,8,9,10,12],[2,3,6,9,11,12,14],[2,3,7,8,9,12,13],[2,4,5,6,9,10,13],[2,4,7,8,10,11,14],[2,4,7,8,10,12,13],[2,5,6,8,9,11,12],[2,5,7,9,10,11,14],[3,4,5,8,12,13,14],[3,4,6,7,8,11,14],[3,4,6,7,9,11,13],[3,5,6,8,10,12,14],[3,5,7,9,10,13,14],[4,5,6,10,11,12,13]]; G[1053]:=Group([(2,4,14)(3,9,13)(5,12,6)(8,11,10)]); # Design 1054: autom. group order 3, simple, residual B[1054]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,9,11,13],[1,3,5,7,9,12,13],[1,3,8,11,12,13,14],[1,4,5,9,10,12,14],[1,4,6,7,8,10,14],[1,4,7,11,12,13,14],[1,5,6,8,9,11,14],[1,6,7,8,9,10,12],[2,3,6,7,8,12,14],[2,3,7,9,10,11,14],[2,4,5,6,11,12,14],[2,4,7,8,9,11,12],[2,4,8,9,10,13,14],[2,5,6,9,12,13,14],[2,5,7,8,10,12,13],[3,4,5,7,8,13,14],[3,4,6,8,9,11,13],[3,4,6,9,10,12,13],[3,5,6,8,10,11,12],[3,5,7,9,10,11,14],[4,5,6,7,10,11,13]]; G[1054]:=Group([(1,6,13)(3,14,10)(4,12,8)(7,9,11)]); # Design 1055: autom. group order 3, simple, residual B[1055]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,11,12],[1,3,5,8,9,12,13],[1,3,7,11,12,13,14],[1,4,5,7,9,10,14],[1,4,6,7,8,10,13],[1,4,7,9,11,13,14],[1,5,6,8,10,12,14],[1,6,8,9,10,11,12],[2,3,6,9,10,13,14],[2,3,7,8,9,10,11],[2,4,5,6,11,12,13],[2,4,7,8,10,12,14],[2,4,8,9,12,13,14],[2,5,6,7,8,11,14],[2,5,7,9,10,12,13],[3,4,5,10,11,12,14],[3,4,6,7,8,12,13],[3,4,6,8,9,11,14],[3,5,6,7,9,12,14],[3,5,7,8,10,11,13],[4,5,6,9,10,11,13]]; G[1055]:=Group([(2,10,13)(3,6,14)(4,8,11)(5,12,7)]); # Design 1056: autom. group order 3, simple, residual B[1056]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,11,12],[1,3,5,8,9,12,13],[1,3,7,11,12,13,14],[1,4,5,7,9,10,14],[1,4,6,7,8,10,13],[1,4,7,9,11,13,14],[1,5,6,8,10,12,14],[1,6,8,9,10,11,12],[2,3,6,9,10,13,14],[2,3,7,8,9,12,14],[2,4,5,6,11,12,13],[2,4,7,8,10,12,14],[2,4,8,9,10,11,13],[2,5,6,7,8,11,14],[2,5,7,9,10,12,13],[3,4,5,10,11,12,14],[3,4,6,7,8,12,13],[3,4,6,8,9,11,14],[3,5,6,7,9,10,11],[3,5,7,8,10,11,13],[4,5,6,9,12,13,14]]; G[1056]:=Group([(2,10,13)(3,6,14)(4,8,11)(5,12,7)]); # Design 1057: autom. group order 3, simple B[1057]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,10,11,12,13],[1,3,7,9,12,13,14],[1,4,5,7,9,12,14],[1,4,6,8,9,11,12],[1,4,7,8,10,13,14],[1,5,6,8,9,10,14],[1,6,7,8,11,12,13],[2,3,6,7,8,9,13],[2,3,8,9,11,12,14],[2,4,5,6,12,13,14],[2,4,7,8,10,11,14],[2,4,7,9,10,12,13],[2,5,6,7,11,12,14],[2,5,8,9,10,12,13],[3,4,5,7,8,11,13],[3,4,6,8,10,12,14],[3,4,6,9,11,13,14],[3,5,6,7,8,10,12],[3,5,7,9,10,11,14],[4,5,6,9,10,11,13]]; G[1057]:=Group([(1,6,10)(2,9,14)(3,11,8)(5,13,7)]); # Design 1058: autom. group order 3, simple, residual B[1058]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,9,11,13],[1,3,5,8,9,12,14],[1,3,8,11,12,13,14],[1,4,5,7,9,13,14],[1,4,6,7,8,10,14],[1,4,7,11,12,13,14],[1,5,6,9,10,11,12],[1,6,7,8,9,10,12],[2,3,6,7,8,12,14],[2,3,7,9,10,11,14],[2,4,5,6,11,12,14],[2,4,7,8,9,11,12],[2,4,8,9,10,13,14],[2,5,6,9,12,13,14],[2,5,7,8,10,12,13],[3,4,5,7,10,12,13],[3,4,6,8,9,11,13],[3,4,6,9,10,12,13],[3,5,6,7,8,11,13],[3,5,7,9,10,11,14],[4,5,6,8,10,11,14]]; G[1058]:=Group([(1,6,13)(3,14,10)(4,12,8)(7,9,11)]); # Design 1059: autom. group order 3, simple B[1059]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,8,12,14],[1,3,9,10,11,12,14],[1,4,5,9,11,12,13],[1,4,6,7,11,12,13],[1,4,7,9,10,13,14],[1,5,6,7,8,10,11],[1,6,7,8,9,12,14],[2,3,6,7,9,12,13],[2,3,7,8,11,12,13],[2,4,5,6,9,12,14],[2,4,7,8,9,10,11],[2,4,7,8,10,12,14],[2,5,6,10,11,12,14],[2,5,7,9,11,13,14],[3,4,5,7,10,13,14],[3,4,6,8,9,11,14],[3,4,6,8,11,13,14],[3,5,6,7,9,10,11],[3,5,8,9,10,12,13],[4,5,6,8,10,12,13]]; G[1059]:=Group([(1,5,7)(2,10,12)(3,6,8)(4,11,14)]); # Design 1060: autom. group order 3, simple, residual B[1060]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,9,11,14],[1,3,5,9,10,12,14],[1,3,8,10,11,12,13],[1,4,5,7,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,9,12,13],[1,5,6,7,11,12,14],[1,6,7,8,9,10,13],[2,3,6,9,12,13,14],[2,3,7,8,9,12,14],[2,4,5,8,10,13,14],[2,4,6,7,8,11,12],[2,4,6,10,12,13,14],[2,5,7,9,10,11,12],[2,5,7,9,10,11,13],[3,4,5,6,9,11,13],[3,4,7,8,10,11,14],[3,4,7,9,11,13,14],[3,5,6,7,8,10,14],[3,5,6,8,11,12,13],[4,5,6,8,9,10,12]]; G[1060]:=Group([(1,3,14)(2,7,11)(4,8,6)(5,10,9)]); # Design 1061: autom. group order 3, simple B[1061]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,7,8,10,13,14],[1,4,5,9,10,11,14],[1,4,6,8,9,12,14],[1,4,7,9,12,13,14],[1,5,6,7,8,10,12],[1,6,8,9,10,11,13],[2,3,6,8,9,11,14],[2,3,7,9,10,12,14],[2,4,5,8,12,13,14],[2,4,6,7,11,13,14],[2,4,6,8,10,12,13],[2,5,7,8,9,10,14],[2,5,9,10,11,12,13],[3,4,5,6,9,10,13],[3,4,7,8,9,11,13],[3,4,7,8,10,11,12],[3,5,6,7,9,12,13],[3,5,6,8,11,12,14],[4,5,6,7,10,11,14]]; G[1061]:=Group([(2,9,13)(3,4,14)(5,12,10)(6,8,7)]); # Design 1062: autom. group order 3, simple B[1062]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,11,12,14],[1,3,7,8,12,13,14],[1,4,5,7,10,12,14],[1,4,6,9,10,12,13],[1,4,7,8,9,11,14],[1,5,6,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,9,11,12,14],[2,3,7,8,11,12,13],[2,4,5,8,12,13,14],[2,4,6,7,8,9,12],[2,4,6,8,10,11,14],[2,5,7,9,10,11,14],[2,5,7,9,10,12,13],[3,4,5,6,7,11,13],[3,4,7,9,10,11,13],[3,4,8,9,10,13,14],[3,5,6,7,8,10,14],[3,5,6,8,9,10,12],[4,5,6,11,12,13,14]]; G[1062]:=Group([(1,10,12)(2,9,14)(3,13,5)(6,7,11)]); # Design 1063: autom. group order 3, simple B[1063]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,10,13,14],[1,3,7,8,9,11,13],[1,4,5,7,9,12,14],[1,4,6,7,9,11,13],[1,4,8,9,10,12,14],[1,5,6,8,10,12,13],[1,6,7,8,11,12,14],[2,3,6,7,9,10,12],[2,3,7,8,11,12,14],[2,4,5,8,11,13,14],[2,4,6,7,10,13,14],[2,4,6,8,9,12,13],[2,5,7,8,9,10,14],[2,5,7,9,11,12,13],[3,4,5,6,11,12,14],[3,4,7,8,10,12,13],[3,4,9,10,11,13,14],[3,5,6,8,9,10,11],[3,5,6,9,12,13,14],[4,5,6,7,8,10,11]]; G[1063]:=Group([(1,5,11)(2,10,13)(3,8,9)(4,6,7)]); # Design 1064: autom. group order 3, simple, residual B[1064]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,13],[1,2,6,7,9,11,14],[1,3,5,10,11,12,14],[1,3,7,9,12,13,14],[1,4,5,9,11,13,14],[1,4,6,7,8,11,13],[1,4,8,9,10,12,13],[1,5,6,8,9,11,12],[1,6,7,8,10,12,14],[2,3,6,8,11,12,13],[2,3,8,9,11,13,14],[2,4,5,7,12,13,14],[2,4,6,9,10,12,13],[2,4,7,8,11,12,14],[2,5,6,8,9,10,14],[2,5,7,9,10,11,12],[3,4,5,6,8,12,14],[3,4,6,7,9,10,11],[3,4,7,8,9,10,14],[3,5,6,7,9,12,13],[3,5,7,8,10,11,13],[4,5,6,10,11,13,14]]; G[1064]:=Group([(1,8,14)(2,11,5)(3,13,4)(7,12,10)]); # Design 1065: autom. group order 3, simple, residual B[1065]:=[[1,2,3,4,5,6,7],[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],[1,3,7,10,12,13,14],[1,4,5,8,10,11,14],[1,4,6,8,9,12,14],[1,4,7,9,11,13,14],[1,5,6,7,8,11,12],[1,6,8,9,10,12,13],[2,3,6,8,11,13,14],[2,3,7,8,9,10,12],[2,4,5,9,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,11,12,13],[2,5,6,7,9,12,14],[2,5,8,10,11,12,14],[3,4,5,6,10,12,13],[3,4,6,7,11,12,14],[3,4,7,8,9,10,14],[3,5,6,9,10,11,14],[3,5,7,8,9,11,13],[4,5,6,7,8,10,13]]; G[1065]:=Group([(2,8,13)(3,6,14)(4,12,7)(5,9,10)]); # Design 1066: autom. group order 3, simple, residual B[1066]:=[[1,2,3,4,5,6,7],[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],[1,3,7,10,12,13,14],[1,4,5,8,10,11,14],[1,4,6,8,9,12,14],[1,4,7,9,11,13,14],[1,5,6,7,8,11,12],[1,6,8,9,10,12,13],[2,3,6,8,11,13,14],[2,3,7,8,9,10,12],[2,4,5,9,12,13,14],[2,4,6,10,11,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,12,14],[2,5,8,9,10,11,13],[3,4,5,6,10,12,13],[3,4,6,7,9,11,13],[3,4,7,8,9,10,14],[3,5,6,9,10,11,14],[3,5,7,8,11,12,14],[4,5,6,7,8,10,13]]; G[1066]:=Group([(2,8,13)(3,6,14)(4,12,7)(5,9,10)]); # Design 1067: autom. group order 3, simple, residual B[1067]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,11,12,14],[1,3,5,9,11,12,14],[1,3,8,9,10,13,14],[1,4,5,7,9,10,13],[1,4,6,9,11,12,13],[1,4,7,8,10,12,14],[1,5,6,8,11,13,14],[1,6,7,8,9,10,12],[2,3,6,8,9,10,11],[2,3,7,9,12,13,14],[2,4,5,10,12,13,14],[2,4,6,7,8,9,14],[2,4,8,9,11,12,13],[2,5,6,8,10,12,13],[2,5,7,9,10,11,14],[3,4,5,6,8,12,14],[3,4,6,7,10,11,13],[3,4,7,8,11,13,14],[3,5,6,7,9,12,13],[3,5,7,8,10,11,12],[4,5,6,9,10,11,14]]; G[1067]:=Group([(1,5,10)(2,14,8)(3,11,12)(4,9,7)]); # Design 1068: autom. group order 3, simple, residual B[1068]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,11,12,14],[1,3,8,9,10,12,14],[1,4,5,9,11,13,14],[1,4,6,7,9,12,13],[1,4,7,8,9,10,14],[1,5,6,8,10,11,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,7,10,12,13,14],[2,4,5,8,10,13,14],[2,4,6,9,11,12,14],[2,4,7,8,11,12,14],[2,5,6,7,9,10,14],[2,5,8,9,11,12,13],[3,4,5,6,12,13,14],[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[1068]:=Group([(1,10,12)(2,3,11)(5,13,14)(6,9,8)]); # Design 1069: autom. group order 3, simple B[1069]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,9,12,13],[1,3,9,11,12,13,14],[1,4,5,8,10,12,14],[1,4,6,8,10,12,13],[1,4,7,9,10,11,14],[1,5,6,7,11,12,14],[1,6,7,8,9,10,13],[2,3,6,7,9,10,12],[2,3,7,8,10,11,14],[2,4,5,9,10,13,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,13],[2,5,6,8,9,12,14],[2,5,7,10,12,13,14],[3,4,5,6,11,13,14],[3,4,6,7,8,13,14],[3,4,7,8,9,12,14],[3,5,6,8,10,11,12],[3,5,8,9,10,11,13],[4,5,6,7,9,10,11]]; G[1069]:=Group([(1,11,14)(2,3,10)(4,8,13)(6,12,7)]); # Design 1070: autom. group order 3, simple, residual B[1070]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,9,10,11],[1,2,6,9,10,12,13],[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],[1,4,8,9,11,12,14],[1,5,6,7,8,10,12],[1,6,7,8,9,11,13],[2,3,6,7,9,11,14],[2,3,7,8,11,12,14],[2,4,5,8,10,13,14],[2,4,6,7,8,12,13],[2,4,7,9,10,13,14],[2,5,6,10,11,12,14],[2,5,8,9,11,12,13],[3,4,5,6,11,12,13],[3,4,6,9,10,11,13],[3,4,7,8,9,10,12],[3,5,6,8,9,10,14],[3,5,7,8,10,11,13],[4,5,6,7,9,12,14]]; G[1070]:=Group([(2,11,13)(3,4,14)(5,8,12)(6,10,7)]); # Design 1071: autom. group order 3, simple, residual B[1071]:=[[1,2,3,4,5,6,7],[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],[1,2,6,9,11,13,14],[1,3,5,9,11,12,14],[1,3,7,11,12,13,14],[1,4,5,7,10,13,14],[1,4,6,8,10,12,13],[1,4,8,9,10,12,14],[1,5,6,7,8,11,12],[1,6,7,8,9,10,11],[2,3,6,7,9,10,12],[2,3,7,8,10,12,14],[2,4,5,8,11,12,13],[2,4,6,7,8,11,14],[2,4,7,9,11,12,13],[2,5,6,10,12,13,14],[2,5,8,9,10,11,14],[3,4,5,6,10,11,14],[3,4,6,9,10,11,13],[3,4,7,8,9,13,14],[3,5,6,8,9,12,13],[3,5,7,8,10,11,13],[4,5,6,7,9,12,14]]; G[1071]:=Group([(2,10,11)(3,4,12)(5,8,14)(6,13,7)]); # Design 1072: autom. group order 3, simple, residual B[1072]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,13,14],[1,2,5,7,9,10,11],[1,2,6,9,10,12,13],[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],[1,4,8,9,11,12,14],[1,5,6,7,8,10,12],[1,6,7,8,9,11,13],[2,3,6,9,10,11,14],[2,3,7,8,11,12,14],[2,4,5,8,10,13,14],[2,4,6,7,9,13,14],[2,4,7,8,10,12,13],[2,5,6,7,11,12,14],[2,5,8,9,11,12,13],[3,4,5,6,11,12,13],[3,4,6,7,8,9,12],[3,4,7,9,10,11,13],[3,5,6,8,10,11,13],[3,5,7,8,9,10,14],[4,5,6,9,10,12,14]]; G[1072]:=Group([(2,11,13)(3,4,14)(5,8,12)(6,10,7)]); # Design 1073: autom. group order 3, simple, residual B[1073]:=[[1,2,3,4,5,6,7],[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],[1,2,6,9,11,13,14],[1,3,5,9,11,12,14],[1,3,7,11,12,13,14],[1,4,5,7,10,13,14],[1,4,6,8,10,12,13],[1,4,8,9,10,12,14],[1,5,6,7,8,11,12],[1,6,7,8,9,10,11],[2,3,6,9,10,12,13],[2,3,7,8,10,12,14],[2,4,5,8,11,12,13],[2,4,6,7,9,11,12],[2,4,7,8,11,13,14],[2,5,6,7,10,12,14],[2,5,8,9,10,11,14],[3,4,5,6,10,11,14],[3,4,6,7,8,9,14],[3,4,7,9,10,11,13],[3,5,6,8,10,11,13],[3,5,7,8,9,12,13],[4,5,6,9,12,13,14]]; G[1073]:=Group([(2,10,11)(3,4,12)(5,8,14)(6,13,7)]); # Design 1074: autom. group order 3, simple, residual B[1074]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,8,10,12,14],[1,3,7,9,11,12,14],[1,4,5,7,9,13,14],[1,4,6,8,11,12,13],[1,4,8,9,10,13,14],[1,5,6,7,10,12,13],[1,6,7,8,9,10,11],[2,3,6,8,9,13,14],[2,3,7,8,10,11,13],[2,4,5,11,12,13,14],[2,4,6,7,8,9,12],[2,4,7,8,10,12,14],[2,5,6,9,10,12,13],[2,5,7,9,10,11,14],[3,4,5,6,9,10,11],[3,4,6,7,11,13,14],[3,4,7,9,10,12,13],[3,5,6,7,8,12,14],[3,5,8,9,11,12,13],[4,5,6,8,10,11,14]]; G[1074]:=Group([(1,6,8)(2,14,5)(4,13,12)(7,9,10)]); # Design 1075: autom. group order 3, simple, residual B[1075]:=[[1,2,3,4,5,6,7],[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],[1,2,6,9,12,13,14],[1,3,5,8,12,13,14],[1,3,7,9,10,11,14],[1,4,5,9,11,13,14],[1,4,6,7,8,9,13],[1,4,7,8,11,12,14],[1,5,6,7,10,12,13],[1,6,8,9,10,11,12],[2,3,6,8,9,12,14],[2,3,7,8,9,11,13],[2,4,5,9,10,12,13],[2,4,6,7,11,13,14],[2,4,7,9,10,12,14],[2,5,6,7,8,11,12],[2,5,8,10,11,13,14],[3,4,5,6,11,12,14],[3,4,6,8,10,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,14],[3,5,7,9,11,12,13],[4,5,6,8,9,10,11]]; G[1075]:=Group([(1,7,12)(2,3,9)(4,11,14)(5,13,6)]); # Design 1076: autom. group order 3, simple, residual B[1076]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,12,13,14],[1,3,5,8,10,12,14],[1,3,7,8,9,11,13],[1,4,5,9,11,12,14],[1,4,6,7,9,10,14],[1,4,7,10,12,13,14],[1,5,6,9,11,12,13],[1,6,7,8,9,10,11],[2,3,6,7,9,12,14],[2,3,7,9,11,12,14],[2,4,5,7,9,10,13],[2,4,6,8,10,11,14],[2,4,8,9,11,13,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,12],[3,4,5,6,11,13,14],[3,4,6,7,8,12,13],[3,4,8,9,10,12,13],[3,5,6,8,9,10,14],[3,5,7,10,11,13,14],[4,5,6,7,8,11,12]]; G[1076]:=Group([(1,5,8)(2,3,14)(4,10,13)(7,9,12)]); # Design 1077: autom. group order 3, simple, residual B[1077]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,8,9,12,14],[1,3,8,10,11,12,13],[1,4,5,7,10,13,14],[1,4,6,8,9,11,13],[1,4,7,9,10,12,13],[1,5,6,7,11,12,14],[1,6,7,8,9,10,14],[2,3,6,7,9,10,11],[2,3,7,8,9,13,14],[2,4,5,9,10,12,14],[2,4,6,8,12,13,14],[2,4,7,8,10,11,14],[2,5,6,8,10,12,13],[2,5,7,9,11,12,13],[3,4,5,6,11,13,14],[3,4,6,7,9,12,13],[3,4,7,8,11,12,14],[3,5,6,7,8,10,12],[3,5,9,10,11,13,14],[4,5,6,8,9,10,11]]; G[1077]:=Group([(1,8,13)(2,10,9)(3,6,7)(4,5,12)]); # Design 1078: autom. group order 3, simple, residual B[1078]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,10,12,13],[1,3,5,7,9,10,11],[1,3,7,8,9,13,14],[1,4,5,8,10,12,14],[1,4,6,9,11,12,13],[1,4,7,8,11,12,13],[1,5,6,7,9,12,14],[1,6,8,9,10,11,14],[2,3,6,8,11,12,14],[2,3,7,9,11,12,14],[2,4,5,9,12,13,14],[2,4,6,7,8,9,11],[2,4,7,9,10,13,14],[2,5,6,8,9,10,12],[2,5,7,8,10,11,13],[3,4,5,6,11,13,14],[3,4,6,8,9,10,13],[3,4,7,8,10,12,14],[3,5,6,7,8,12,13],[3,5,9,10,11,12,13],[4,5,6,7,10,11,14]]; G[1078]:=Group([(1,3,12)(2,11,4)(5,14,13)(6,9,8)]); # Design 1079: autom. group order 3, simple, residual B[1079]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,10,11,14],[1,3,5,7,9,10,12],[1,3,7,8,9,13,14],[1,4,5,8,10,13,14],[1,4,6,9,11,12,14],[1,4,7,8,11,12,14],[1,5,6,7,9,11,13],[1,6,8,9,10,12,13],[2,3,6,8,9,12,14],[2,3,7,8,11,12,13],[2,4,5,9,11,13,14],[2,4,6,7,9,12,13],[2,4,7,8,9,10,14],[2,5,6,8,9,10,11],[2,5,7,10,12,13,14],[3,4,5,6,12,13,14],[3,4,6,8,10,11,13],[3,4,7,9,10,11,13],[3,5,6,7,8,11,14],[3,5,9,10,11,12,14],[4,5,6,7,8,10,12]]; G[1079]:=Group([(1,3,11)(2,10,12)(5,13,14)(6,9,8)]); # Design 1080: autom. group order 3, simple, residual B[1080]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,12,13,14],[1,3,8,9,10,11,14],[1,4,5,7,8,10,14],[1,4,6,8,11,12,14],[1,4,7,9,10,12,13],[1,5,6,9,11,13,14],[1,6,7,8,9,10,12],[2,3,6,8,10,12,13],[2,3,7,8,9,11,14],[2,4,5,9,10,13,14],[2,4,6,7,10,11,14],[2,4,8,9,12,13,14],[2,5,6,7,8,12,14],[2,5,7,9,10,11,12],[3,4,5,6,9,11,12],[3,4,6,7,8,9,13],[3,4,7,11,12,13,14],[3,5,6,9,10,12,14],[3,5,7,8,10,11,13],[4,5,6,8,10,11,13]]; G[1080]:=Group([(1,5,10)(2,11,12)(3,13,9)(4,8,7)]); # Design 1081: autom. group order 3, simple, residual B[1081]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,11,13],[1,3,5,7,10,11,12],[1,3,8,10,11,13,14],[1,4,5,7,12,13,14],[1,4,6,9,11,12,14],[1,4,7,8,9,10,14],[1,5,6,8,9,11,12],[1,6,7,8,10,12,13],[2,3,6,9,10,12,14],[2,3,7,8,11,12,14],[2,4,5,8,10,12,13],[2,4,6,7,10,11,13],[2,4,8,9,11,12,13],[2,5,6,7,8,12,14],[2,5,7,9,10,11,14],[3,4,5,6,11,13,14],[3,4,6,7,8,9,10],[3,4,7,9,12,13,14],[3,5,6,9,10,12,13],[3,5,7,8,9,11,13],[4,5,6,8,10,11,14]]; G[1081]:=Group([(1,6,10)(2,4,14)(3,11,9)(7,8,13)]); # Design 1082: autom. group order 3, simple, residual B[1082]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,11,12],[1,3,5,8,9,12,13],[1,3,7,11,12,13,14],[1,4,5,7,9,10,14],[1,4,6,7,8,10,13],[1,4,7,9,11,13,14],[1,5,6,8,10,12,14],[1,6,8,9,10,11,12],[2,3,6,9,10,13,14],[2,3,7,8,9,10,11],[2,4,5,10,11,12,14],[2,4,6,7,8,12,14],[2,4,8,9,12,13,14],[2,5,6,7,8,11,13],[2,5,7,9,10,12,13],[3,4,5,6,11,12,13],[3,4,6,8,9,11,14],[3,4,7,8,10,12,13],[3,5,6,7,9,12,14],[3,5,7,8,10,11,14],[4,5,6,9,10,11,13]]; G[1082]:=Group([(2,10,13)(3,6,14)(4,8,11)(5,12,7)]); # Design 1083: autom. group order 3, simple, residual B[1083]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,9,11,12],[1,3,5,8,9,12,13],[1,3,7,11,12,13,14],[1,4,5,7,9,10,14],[1,4,6,7,8,10,13],[1,4,7,9,11,13,14],[1,5,6,8,10,12,14],[1,6,8,9,10,11,12],[2,3,6,9,10,13,14],[2,3,7,8,9,12,14],[2,4,5,10,11,12,14],[2,4,6,7,8,12,14],[2,4,8,9,10,11,13],[2,5,6,7,8,11,13],[2,5,7,9,10,12,13],[3,4,5,6,11,12,13],[3,4,6,8,9,11,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,11],[3,5,7,8,10,11,14],[4,5,6,9,12,13,14]]; G[1083]:=Group([(2,10,13)(3,6,14)(4,8,11)(5,12,7)]); # Design 1084: autom. group order 3, simple, residual B[1084]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,10,11],[1,2,6,7,8,12,13],[1,3,5,11,12,13,14],[1,3,7,8,10,12,14],[1,4,5,7,9,12,14],[1,4,6,8,11,13,14],[1,4,7,9,10,13,14],[1,5,6,7,9,11,13],[1,6,8,9,10,11,12],[2,3,6,7,9,11,14],[2,3,7,9,11,12,13],[2,4,5,10,11,13,14],[2,4,6,9,10,12,13],[2,4,7,8,11,12,14],[2,5,6,7,8,10,14],[2,5,8,9,12,13,14],[3,4,5,6,8,12,13],[3,4,6,8,9,11,14],[3,4,7,8,9,10,13],[3,5,6,9,10,12,14],[3,5,7,8,10,11,13],[4,5,6,7,10,11,12]]; G[1084]:=Group([(1,7,11)(2,10,14)(3,8,4)(5,13,6)]); # Design 1085: autom. group order 3, simple, residual B[1085]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,8,12,13],[1,3,5,9,12,13,14],[1,3,7,8,11,12,14],[1,4,5,7,9,10,14],[1,4,6,8,9,11,12],[1,4,7,9,10,11,13],[1,5,6,7,11,12,14],[1,6,8,9,10,13,14],[2,3,6,7,9,11,13],[2,3,9,10,11,12,14],[2,4,5,8,12,13,14],[2,4,6,8,9,11,14],[2,4,7,9,12,13,14],[2,5,6,7,9,10,12],[2,5,7,8,10,11,14],[3,4,5,6,11,13,14],[3,4,6,7,8,10,14],[3,4,7,8,10,12,13],[3,5,6,8,9,10,12],[3,5,7,8,9,11,13],[4,5,6,10,11,12,13]]; G[1085]:=Group([(1,12,13)(2,6,7)(3,5,9)(4,10,11)]); # Design 1086: autom. group order 3, simple, residual B[1086]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,10,12,13],[1,3,7,10,12,13,14],[1,4,5,7,8,11,12],[1,4,6,9,11,12,14],[1,4,7,8,9,13,14],[1,5,6,8,9,10,14],[1,6,7,8,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,7,12,13,14],[2,4,6,8,10,12,14],[2,4,8,9,10,12,13],[2,5,6,9,11,12,13],[2,5,7,8,10,11,14],[3,4,5,6,11,13,14],[3,4,6,8,10,11,13],[3,4,7,9,10,11,14],[3,5,6,7,8,10,12],[3,5,8,9,11,12,14],[4,5,6,7,9,10,13]]; G[1086]:=Group([(1,4,10)(2,12,3)(5,8,13)(6,14,7)]); # Design 1087: autom. group order 3, simple, residual B[1087]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,13,14],[1,2,6,7,8,10,11],[1,3,5,8,10,12,13],[1,3,7,11,12,13,14],[1,4,5,7,9,11,12],[1,4,6,8,11,12,14],[1,4,7,9,10,13,14],[1,5,6,9,10,11,14],[1,6,7,8,9,12,13],[2,3,6,7,9,11,13],[2,3,8,9,11,12,14],[2,4,5,7,11,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,12,13],[2,5,6,7,8,12,14],[2,5,9,10,11,12,13],[3,4,5,6,12,13,14],[3,4,6,8,9,11,13],[3,4,7,8,9,10,14],[3,5,6,7,9,10,12],[3,5,7,8,10,11,14],[4,5,6,8,10,11,13]]; G[1087]:=Group([(1,6,10)(2,11,14)(3,8,9)(5,13,7)]); # Design 1088: autom. group order 3, simple B[1088]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,7,12,13,14],[1,3,5,9,11,12,13],[1,3,7,8,9,12,14],[1,4,5,7,10,11,14],[1,4,6,9,10,12,14],[1,4,7,8,10,11,13],[1,5,6,8,9,10,12],[1,6,7,8,9,11,13],[2,3,6,7,8,11,12],[2,3,8,9,10,11,14],[2,4,5,7,9,12,13],[2,4,6,8,9,10,13],[2,4,9,11,12,13,14],[2,5,6,7,9,10,11],[2,5,7,8,10,12,14],[3,4,5,6,8,13,14],[3,4,6,7,9,11,14],[3,4,7,8,10,12,13],[3,5,6,10,11,12,13],[3,5,7,9,10,13,14],[4,5,6,8,11,12,14]]; G[1088]:=Group([(1,4,13)(3,9,14)(5,12,6)(8,11,10)]); # Design 1089: autom. group order 3, simple, residual B[1089]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,11,13],[1,3,5,9,11,12,14],[1,3,7,11,12,13,14],[1,4,5,8,10,12,13],[1,4,6,7,9,10,12],[1,4,7,8,10,13,14],[1,5,6,7,8,11,12],[1,6,8,9,10,11,14],[2,3,6,9,10,12,13],[2,3,7,8,10,12,14],[2,4,5,7,11,13,14],[2,4,6,8,11,12,13],[2,4,8,9,11,12,14],[2,5,6,7,10,12,14],[2,5,7,8,9,10,11],[3,4,5,6,10,11,14],[3,4,6,7,8,9,14],[3,4,7,9,10,11,13],[3,5,6,8,10,11,13],[3,5,7,8,9,12,13],[4,5,6,9,12,13,14]]; G[1089]:=Group([(1,2,11)(3,4,12)(5,8,14)(6,13,7)]); # Design 1090: autom. group order 3, simple, residual B[1090]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,11,13,14],[1,3,7,9,11,12,14],[1,4,5,8,10,12,14],[1,4,6,8,9,10,13],[1,4,7,9,10,13,14],[1,5,6,7,8,9,11],[1,6,7,8,11,12,13],[2,3,6,8,9,12,14],[2,3,7,8,9,10,13],[2,4,5,7,11,13,14],[2,4,6,8,11,13,14],[2,4,7,8,9,11,12],[2,5,6,7,9,10,14],[2,5,9,10,11,12,13],[3,4,5,6,7,12,13],[3,4,6,9,12,13,14],[3,4,7,8,10,11,14],[3,5,6,8,10,11,14],[3,5,7,8,10,12,13],[4,5,6,9,10,11,12]]; G[1090]:=Group([(1,10,14)(2,8,9)(4,7,12)(5,13,6)]); # Design 1091: autom. group order 3, simple, residual B[1091]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,10,11,14],[1,3,7,8,9,10,13],[1,4,5,8,12,13,14],[1,4,6,9,11,12,14],[1,4,7,9,10,12,13],[1,5,6,7,8,9,12],[1,6,7,8,10,11,14],[2,3,6,8,9,11,12],[2,3,7,8,12,13,14],[2,4,5,7,10,12,14],[2,4,6,8,9,10,13],[2,4,7,8,9,11,14],[2,5,6,7,9,10,14],[2,5,9,10,11,12,13],[3,4,5,6,7,11,13],[3,4,6,8,10,12,14],[3,4,7,9,11,13,14],[3,5,6,9,12,13,14],[3,5,7,8,10,11,12],[4,5,6,8,10,11,13]]; G[1091]:=Group([(1,10,14)(2,8,9)(3,6,11)(5,13,7)]); # Design 1092: autom. group order 3, simple, residual B[1092]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,10,12,13],[1,3,8,9,11,12,14],[1,4,5,7,12,13,14],[1,4,6,9,10,11,14],[1,4,7,8,10,11,13],[1,5,6,7,8,9,14],[1,6,7,9,11,12,13],[2,3,6,7,9,11,13],[2,3,7,8,12,13,14],[2,4,5,7,9,11,12],[2,4,6,8,11,12,14],[2,4,7,9,10,13,14],[2,5,6,9,10,12,14],[2,5,8,9,10,11,13],[3,4,5,6,11,13,14],[3,4,6,8,9,12,13],[3,4,7,8,9,10,14],[3,5,6,7,8,10,11],[3,5,7,10,11,12,14],[4,5,6,8,10,12,13]]; G[1092]:=Group([(1,12,14)(2,6,10)(3,8,9)(5,13,7)]); # Design 1093: autom. group order 3, simple, residual B[1093]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,9,13,14],[1,3,5,7,8,10,14],[1,3,7,8,11,12,13],[1,4,5,9,11,12,14],[1,4,6,7,9,10,14],[1,4,7,10,12,13,14],[1,5,6,7,9,11,13],[1,6,8,9,10,11,12],[2,3,6,7,9,12,14],[2,3,7,9,11,12,14],[2,4,5,9,10,12,13],[2,4,6,8,10,11,14],[2,4,7,8,11,13,14],[2,5,6,7,10,12,13],[2,5,7,8,9,10,11],[3,4,5,6,11,13,14],[3,4,6,8,9,12,13],[3,4,7,8,9,10,13],[3,5,6,8,10,12,14],[3,5,9,10,11,13,14],[4,5,6,7,8,11,12]]; G[1093]:=Group([(1,5,8)(2,3,14)(4,10,13)(7,12,9)]); # Design 1094: autom. group order 3, simple, residual B[1094]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,12,13,14],[1,3,7,8,9,10,14],[1,4,5,9,11,12,14],[1,4,6,7,8,10,11],[1,4,7,9,10,12,13],[1,5,6,10,11,12,14],[1,6,7,8,9,12,13],[2,3,6,7,9,11,12],[2,3,8,9,10,12,14],[2,4,5,7,10,13,14],[2,4,6,9,12,13,14],[2,4,7,8,11,12,14],[2,5,6,7,8,10,12],[2,5,7,9,10,11,13],[3,4,5,6,8,12,13],[3,4,6,9,10,11,13],[3,4,7,8,11,13,14],[3,5,6,7,9,11,14],[3,5,8,10,11,12,13],[4,5,6,8,9,10,14]]; G[1094]:=Group([(1,5,13)(3,7,14)(4,10,6)(8,9,11)]); # Design 1095: autom. group order 3, simple, residual B[1095]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,9,10,12],[1,3,7,8,9,13,14],[1,4,5,8,10,13,14],[1,4,6,8,11,12,14],[1,4,7,9,11,12,14],[1,5,6,7,9,11,13],[1,6,7,8,10,12,13],[2,3,6,7,8,12,14],[2,3,8,9,11,12,13],[2,4,5,7,11,13,14],[2,4,6,7,9,12,13],[2,4,7,8,9,10,14],[2,5,6,7,8,10,11],[2,5,9,10,12,13,14],[3,4,5,6,12,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,13],[3,5,6,8,9,11,14],[3,5,7,10,11,12,14],[4,5,6,8,9,10,12]]; G[1095]:=Group([(1,3,11)(2,10,12)(5,13,14)(6,7,8)]); # Design 1096: autom. group order 3, simple, residual B[1096]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,9,10,12,13],[1,3,5,7,9,10,11],[1,3,7,8,9,13,14],[1,4,5,8,10,12,14],[1,4,6,8,11,12,13],[1,4,7,9,11,12,13],[1,5,6,7,9,12,14],[1,6,7,8,10,11,14],[2,3,6,9,11,12,14],[2,3,7,8,11,12,14],[2,4,5,7,12,13,14],[2,4,6,7,8,9,11],[2,4,7,9,10,13,14],[2,5,6,7,8,10,12],[2,5,8,9,10,11,13],[3,4,5,6,11,13,14],[3,4,6,7,8,10,13],[3,4,8,9,10,12,14],[3,5,6,8,9,12,13],[3,5,7,10,11,12,13],[4,5,6,9,10,11,14]]; G[1096]:=Group([(1,3,12)(2,11,4)(5,14,13)(6,7,8)]); # Design 1097: autom. group order 3, simple, residual B[1097]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,10,11,12],[1,3,7,8,9,12,13],[1,4,5,7,10,13,14],[1,4,6,7,9,11,14],[1,4,7,8,10,12,14],[1,5,6,8,11,12,13],[1,6,7,8,9,10,11],[2,3,6,7,8,12,14],[2,3,7,8,10,11,13],[2,4,5,7,9,12,13],[2,4,6,9,10,11,13],[2,4,8,9,11,12,14],[2,5,6,7,8,9,10],[2,5,7,10,11,12,14],[3,4,5,6,8,11,14],[3,4,6,7,11,12,13],[3,4,8,9,10,13,14],[3,5,6,9,10,12,14],[3,5,7,9,11,13,14],[4,5,6,8,10,12,13]]; G[1097]:=Group([(2,4,14)(3,7,13)(5,10,6)(8,12,9)]); # Design 1098: autom. group order 3, simple B[1098]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,11,12,13],[1,3,7,8,9,10,11],[1,4,5,7,10,13,14],[1,4,6,7,9,11,14],[1,4,7,8,10,12,14],[1,5,6,8,9,10,12],[1,6,7,8,11,12,13],[2,3,6,7,8,11,14],[2,3,7,8,10,12,13],[2,4,5,7,11,12,13],[2,4,6,8,9,10,13],[2,4,8,9,11,12,14],[2,5,6,7,9,10,11],[2,5,7,9,10,12,14],[3,4,5,6,8,12,14],[3,4,6,7,9,12,13],[3,4,9,10,11,13,14],[3,5,6,10,11,12,14],[3,5,7,8,9,13,14],[4,5,6,8,10,11,13]]; G[1098]:=Group([(2,4,14)(3,7,13)(5,10,6)(8,12,9)]); # Design 1099: autom. group order 3, simple, residual B[1099]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,11,12,13],[1,3,7,8,9,10,12],[1,4,5,7,10,13,14],[1,4,6,7,8,12,14],[1,4,7,9,10,11,14],[1,5,6,8,10,11,12],[1,6,7,8,9,11,13],[2,3,6,7,9,11,14],[2,3,7,8,10,11,13],[2,4,5,7,9,12,13],[2,4,6,8,10,12,13],[2,4,8,9,11,12,14],[2,5,6,7,8,9,10],[2,5,7,10,11,12,14],[3,4,5,6,8,11,14],[3,4,6,7,11,12,13],[3,4,8,9,10,13,14],[3,5,6,9,10,12,14],[3,5,7,8,12,13,14],[4,5,6,9,10,11,13]]; G[1099]:=Group([(2,4,14)(3,7,13)(5,10,6)(8,11,12)]); # Design 1100: autom. group order 3, simple B[1100]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,12,13,14],[1,3,7,8,9,10,14],[1,4,5,7,11,13,14],[1,4,6,7,9,10,12],[1,4,7,8,11,12,13],[1,5,6,8,10,11,12],[1,6,7,8,9,11,14],[2,3,6,7,11,12,14],[2,3,7,9,11,12,13],[2,4,5,7,8,12,14],[2,4,6,8,9,11,13],[2,4,8,9,10,12,14],[2,5,6,7,8,10,13],[2,5,7,9,10,11,14],[3,4,5,6,10,11,14],[3,4,6,7,9,10,13],[3,4,8,10,11,13,14],[3,5,6,8,9,11,12],[3,5,7,8,10,12,13],[4,5,6,9,12,13,14]]; G[1100]:=Group([(1,10,12)(2,4,11)(5,14,7)(8,13,9)]); # Design 1101: autom. group order 3, simple, residual B[1101]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,11,12,14],[1,3,7,8,9,10,14],[1,4,5,7,10,12,13],[1,4,6,8,9,12,13],[1,4,7,9,10,13,14],[1,5,6,7,8,11,14],[1,6,7,8,10,11,12],[2,3,6,7,9,12,14],[2,3,7,8,10,11,13],[2,4,5,8,10,12,14],[2,4,6,7,8,12,14],[2,4,7,9,11,13,14],[2,5,6,8,9,10,13],[2,5,7,9,10,11,12],[3,4,5,6,7,11,13],[3,4,6,8,9,10,11],[3,4,8,11,12,13,14],[3,5,6,10,12,13,14],[3,5,7,8,9,12,13],[4,5,6,9,10,11,14]]; G[1101]:=Group([(1,4,14)(2,8,5)(3,12,11)(9,10,13)]); # Design 1102: autom. group order 3, simple, residual B[1102]:=[[1,2,3,4,5,6,7],[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],[1,2,6,9,11,12,13],[1,3,5,7,10,13,14],[1,3,7,9,10,11,14],[1,4,5,7,9,12,13],[1,4,6,7,8,11,14],[1,4,8,9,11,13,14],[1,5,6,8,10,12,14],[1,6,7,8,9,10,12],[2,3,6,7,11,12,14],[2,3,7,8,9,13,14],[2,4,5,8,10,11,14],[2,4,7,8,10,12,13],[2,4,7,9,10,12,14],[2,5,6,7,8,9,11],[2,5,6,9,10,13,14],[3,4,5,6,9,12,14],[3,4,6,8,12,13,14],[3,4,6,9,10,11,13],[3,5,7,8,11,12,13],[3,5,8,9,10,11,12],[4,5,6,7,10,11,13]]; G[1102]:=Group([(1,4,12)(3,10,11)(5,7,13)(6,8,14)]); # Design 1103: autom. group order 3, simple B[1103]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,6,7,8,11,14],[1,3,5,8,12,13,14],[1,3,7,9,11,13,14],[1,4,5,7,9,10,13],[1,4,6,8,9,12,13],[1,4,8,9,10,11,14],[1,5,6,8,10,12,14],[1,6,7,9,10,11,12],[2,3,7,8,9,10,14],[2,3,8,9,11,12,13],[2,4,5,6,9,11,14],[2,4,6,9,12,13,14],[2,4,7,10,12,13,14],[2,5,6,8,10,11,13],[2,5,7,8,9,10,12],[3,4,5,10,11,12,14],[3,4,6,7,8,10,13],[3,4,6,7,8,11,12],[3,5,6,7,9,12,14],[3,5,6,9,10,11,13],[4,5,7,8,11,13,14]]; G[1103]:=Group([(1,7,11)(2,6,12)(5,8,10)(9,13,14)]); # Design 1104: autom. group order 3, simple, residual B[1104]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,12],[1,2,6,7,8,9,13],[1,3,5,11,12,13,14],[1,3,7,8,10,13,14],[1,4,5,9,10,11,14],[1,4,6,8,9,12,14],[1,4,7,9,12,13,14],[1,5,6,8,10,11,13],[1,6,7,9,10,11,12],[2,3,7,9,11,12,13],[2,3,8,9,10,12,14],[2,4,5,6,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,11,14],[2,5,6,7,10,12,14],[2,5,8,9,11,13,14],[3,4,5,7,9,10,13],[3,4,6,7,8,11,14],[3,4,6,8,11,12,13],[3,5,6,7,9,11,14],[3,5,6,8,9,10,12],[4,5,7,8,10,12,13]]; G[1104]:=Group([(2,9,13)(3,4,14)(5,12,10)(6,8,7)]); # Design 1105: autom. group order 3, simple, residual B[1105]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,13],[1,2,6,9,10,11,14],[1,3,5,7,11,12,14],[1,3,7,9,12,13,14],[1,4,5,9,11,13,14],[1,4,6,8,11,12,13],[1,4,7,8,9,10,13],[1,5,6,8,9,11,12],[1,6,7,8,10,12,14],[2,3,7,8,11,12,13],[2,3,8,9,11,13,14],[2,4,5,6,12,13,14],[2,4,6,7,8,11,14],[2,4,7,9,10,11,12],[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],[3,5,6,7,9,10,11],[3,5,6,8,10,11,13],[4,5,7,10,11,13,14]]; G[1105]:=Group([(1,8,14)(2,11,5)(3,13,4)(6,12,10)]); # Design 1106: autom. group order 3, simple, residual B[1106]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,7,10,11,12,14],[1,4,5,8,12,13,14],[1,4,6,7,9,10,13],[1,4,7,8,9,11,12],[1,5,6,9,11,12,13],[1,6,8,9,10,11,14],[2,3,7,9,11,12,13],[2,3,8,9,12,13,14],[2,4,5,6,11,12,14],[2,4,6,9,10,12,13],[2,4,7,8,9,10,14],[2,5,6,7,9,11,14],[2,5,7,8,10,11,13],[3,4,5,9,10,11,14],[3,4,6,7,8,11,13],[3,4,6,8,11,13,14],[3,5,6,7,8,10,12],[3,5,6,8,9,10,12],[4,5,7,10,12,13,14]]; G[1106]:=Group([(1,9,14)(2,12,4)(3,13,5)(6,11,10)]); # Design 1107: autom. group order 3, simple, residual B[1107]:=[[1,2,3,4,5,6,7],[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],[1,3,9,10,11,12,13],[1,4,5,8,12,13,14],[1,4,6,7,11,12,13],[1,4,7,8,9,10,14],[1,5,6,8,11,12,14],[1,6,7,8,9,10,11],[2,3,7,8,11,12,14],[2,3,7,8,11,13,14],[2,4,5,6,10,11,14],[2,4,6,8,9,11,13],[2,4,9,10,12,13,14],[2,5,6,7,10,12,13],[2,5,7,8,9,10,12],[3,4,5,7,9,11,12],[3,4,6,7,9,13,14],[3,4,6,8,10,12,14],[3,5,6,8,9,12,13],[3,5,6,9,10,11,14],[4,5,7,8,10,11,13]]; G[1107]:=Group([(1,5,10)(2,11,8)(3,14,7)(4,6,9)]); # Design 1108: autom. group order 3, simple B[1108]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,13,14],[1,2,6,7,11,12,13],[1,3,5,9,10,11,14],[1,3,7,9,10,12,13],[1,4,5,9,12,13,14],[1,4,6,7,8,9,12],[1,4,7,8,10,11,14],[1,5,6,8,11,12,14],[1,6,8,9,10,11,13],[2,3,7,8,11,12,14],[2,3,8,9,12,13,14],[2,4,5,8,10,11,13],[2,4,6,7,9,10,14],[2,4,6,9,11,13,14],[2,5,6,8,9,10,12],[2,5,7,9,10,11,12],[3,4,5,6,11,12,13],[3,4,6,8,10,12,14],[3,4,7,8,9,11,13],[3,5,6,7,8,10,13],[3,5,6,7,9,11,14],[4,5,7,10,12,13,14]]; G[1108]:=Group([(1,8,13)(2,14,5)(3,12,4)(6,11,10)]); # Design 1109: autom. group order 3, simple, residual B[1109]:=[[1,2,3,4,5,6,7],[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],[1,3,7,8,9,12,13],[1,4,5,11,12,13,14],[1,4,6,8,10,12,13],[1,4,7,9,10,11,14],[1,5,6,9,10,12,14],[1,6,7,8,9,11,13],[2,3,7,9,10,13,14],[2,3,8,11,12,13,14],[2,4,5,8,9,10,13],[2,4,6,8,9,12,14],[2,4,6,9,11,13,14],[2,5,6,7,8,11,12],[2,5,7,9,10,11,12],[3,4,5,6,7,13,14],[3,4,6,7,9,11,12],[3,4,7,8,10,12,14],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13],[4,5,7,8,10,11,13]]; G[1109]:=Group([(1,2,9)(3,4,8)(6,13,11)(7,10,14)]); # Design 1110: autom. group order 3, simple, residual B[1110]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,11,12,14],[1,3,5,8,9,12,14],[1,3,8,10,11,12,13],[1,4,5,9,10,13,14],[1,4,6,9,11,13,14],[1,4,7,8,12,13,14],[1,5,6,7,9,10,11],[1,6,7,8,9,10,12],[2,3,7,8,9,11,14],[2,3,7,9,10,13,14],[2,4,5,10,11,12,14],[2,4,6,8,9,10,12],[2,4,6,8,9,11,13],[2,5,6,8,12,13,14],[2,5,7,9,10,12,13],[3,4,5,6,7,12,13],[3,4,6,7,8,10,14],[3,4,7,9,11,12,13],[3,5,6,8,10,11,13],[3,5,6,9,11,12,14],[4,5,7,8,10,11,14]]; G[1110]:=Group([(1,8,12)(3,9,10)(5,6,11)(7,13,14)]); # Design 1111: autom. group order 3, simple, residual B[1111]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,8,9,12,13],[1,3,7,8,10,11,12],[1,4,5,7,9,10,14],[1,4,6,7,9,11,14],[1,4,7,8,12,13,14],[1,5,6,9,10,11,13],[1,6,8,9,10,12,14],[2,3,7,8,9,11,14],[2,3,7,9,10,13,14],[2,4,5,10,11,12,14],[2,4,6,8,9,10,12],[2,4,6,8,9,11,13],[2,5,6,7,8,12,14],[2,5,7,9,10,12,13],[3,4,5,6,12,13,14],[3,4,6,7,8,10,13],[3,4,9,11,12,13,14],[3,5,6,7,9,11,12],[3,5,6,8,10,11,14],[4,5,7,8,10,11,13]]; G[1111]:=Group([(1,8,12)(3,9,10)(5,6,11)(7,13,14)]); # Design 1112: autom. group order 3, simple, residual B[1112]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,9,11,14],[1,3,5,8,12,13,14],[1,3,7,9,10,11,14],[1,4,5,7,9,12,13],[1,4,6,7,8,12,14],[1,4,7,9,11,13,14],[1,5,6,7,8,10,11],[1,6,8,9,10,12,13],[2,3,7,8,9,11,13],[2,3,7,8,12,13,14],[2,4,5,8,9,10,14],[2,4,6,7,8,10,13],[2,4,6,9,11,12,13],[2,5,6,7,11,12,14],[2,5,7,9,10,12,14],[3,4,5,6,11,13,14],[3,4,6,9,10,12,14],[3,4,7,8,10,11,12],[3,5,6,7,9,10,13],[3,5,6,8,9,11,12],[4,5,8,10,11,13,14]]; G[1112]:=Group([(1,12,13)(2,14,4)(3,7,11)(8,9,10)]); # Design 1113: autom. group order 3, simple, residual B[1113]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,12,13,14],[1,3,7,8,10,11,14],[1,4,5,7,10,12,13],[1,4,6,7,8,12,14],[1,4,7,9,11,13,14],[1,5,6,7,9,10,11],[1,6,8,9,10,12,13],[2,3,7,8,12,13,14],[2,3,7,9,10,11,13],[2,4,5,8,9,10,14],[2,4,6,7,8,10,13],[2,4,6,9,11,12,13],[2,5,6,7,11,12,14],[2,5,7,9,10,12,14],[3,4,5,6,11,13,14],[3,4,6,9,10,12,14],[3,4,7,8,9,11,12],[3,5,6,7,8,9,13],[3,5,6,8,10,11,12],[4,5,8,10,11,13,14]]; G[1113]:=Group([(1,12,13)(2,14,4)(3,7,11)(8,9,10)]); # Design 1114: autom. group order 3, simple B[1114]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,6,7,8,13,14],[1,3,5,7,9,10,14],[1,3,8,10,11,12,13],[1,4,5,8,11,13,14],[1,4,6,9,11,12,14],[1,4,7,8,9,12,14],[1,5,6,8,9,10,11],[1,6,7,9,10,12,13],[2,3,7,9,11,12,14],[2,3,8,9,11,13,14],[2,4,5,9,10,12,13],[2,4,6,8,10,12,14],[2,4,7,8,9,10,13],[2,5,6,7,8,11,12],[2,5,6,9,10,11,14],[3,4,5,6,12,13,14],[3,4,6,7,8,10,11],[3,4,6,7,9,11,13],[3,5,6,8,9,12,13],[3,5,7,8,10,12,14],[4,5,7,10,11,13,14]]; G[1114]:=Group([(1,9,13)(2,14,4)(3,11,5)(6,12,10)]); # Design 1115: autom. group order 3, simple B[1115]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,13,14],[1,2,6,7,10,11,13],[1,3,5,9,10,12,14],[1,3,7,9,11,12,13],[1,4,5,9,11,13,14],[1,4,6,7,8,12,14],[1,4,7,8,9,10,11],[1,5,6,8,11,12,14],[1,6,8,9,10,12,13],[2,3,7,8,11,12,14],[2,3,8,9,11,13,14],[2,4,5,8,10,12,13],[2,4,6,9,12,13,14],[2,4,7,9,10,12,14],[2,5,6,7,9,11,12],[2,5,6,8,9,10,11],[3,4,5,6,11,12,13],[3,4,6,7,8,9,13],[3,4,6,8,10,11,14],[3,5,6,7,9,10,14],[3,5,7,8,10,12,13],[4,5,7,10,11,13,14]]; G[1115]:=Group([(1,8,13)(2,14,5)(3,11,4)(6,12,10)]); # Design 1116: autom. group order 3, simple, residual B[1116]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,11,14],[1,2,6,7,9,12,13],[1,3,5,9,12,13,14],[1,3,9,10,11,13,14],[1,4,5,7,11,12,13],[1,4,6,8,11,13,14],[1,4,7,8,9,10,14],[1,5,6,8,11,12,14],[1,6,7,8,9,10,12],[2,3,7,8,11,12,14],[2,3,7,8,12,13,14],[2,4,5,8,9,13,14],[2,4,6,7,9,11,14],[2,4,9,10,11,12,13],[2,5,6,8,10,11,13],[2,5,6,9,10,12,14],[3,4,5,6,10,12,14],[3,4,6,7,10,13,14],[3,4,6,8,9,11,12],[3,5,6,7,9,11,13],[3,5,7,8,9,10,11],[4,5,7,8,10,12,13]]; G[1116]:=Group([(1,5,10)(2,14,7)(3,12,8)(4,6,9)]); # Design 1117: autom. group order 3, simple, residual B[1117]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,6,7,9,11,12],[1,3,5,9,11,13,14],[1,3,9,10,12,13,14],[1,4,5,7,11,12,13],[1,4,6,8,12,13,14],[1,4,7,8,9,10,14],[1,5,6,8,11,12,14],[1,6,7,8,9,10,11],[2,3,7,8,11,12,14],[2,3,7,8,11,13,14],[2,4,5,8,9,12,14],[2,4,6,7,9,13,14],[2,4,9,10,11,12,13],[2,5,6,8,10,12,13],[2,5,6,9,10,11,14],[3,4,5,6,10,11,14],[3,4,6,7,10,12,14],[3,4,6,8,9,11,13],[3,5,6,7,9,12,13],[3,5,7,8,9,10,12],[4,5,7,8,10,11,13]]; G[1117]:=Group([(1,5,10)(2,14,7)(3,11,8)(4,6,9)]); # Design 1118: autom. group order 3, simple, residual B[1118]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,9,12,14],[1,3,8,9,11,12,13],[1,4,5,11,12,13,14],[1,4,6,8,9,10,14],[1,4,7,8,10,13,14],[1,5,6,7,9,10,12],[1,6,7,8,10,11,12],[2,3,7,8,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,10,12,14],[2,4,6,8,9,11,12],[2,4,7,9,12,13,14],[2,5,6,7,8,11,14],[2,5,6,9,10,12,13],[3,4,5,6,10,11,13],[3,4,6,7,8,9,13],[3,4,6,7,11,12,14],[3,5,6,8,12,13,14],[3,5,8,9,10,11,14],[4,5,7,9,10,11,13]]; G[1118]:=Group([(1,5,10)(2,11,14)(3,13,8)(6,7,9)]); # Design 1119: autom. group order 3, simple, residual B[1119]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,8,10,12,13,14],[1,3,5,7,9,12,14],[1,3,7,8,11,12,13],[1,4,5,6,11,13,14],[1,4,6,7,9,10,13],[1,4,6,8,9,12,14],[1,5,7,8,10,11,14],[1,6,7,9,10,11,12],[2,3,6,7,8,11,14],[2,3,6,9,11,12,13],[2,4,5,7,10,11,12],[2,4,6,7,8,12,14],[2,4,7,8,9,10,13],[2,5,6,9,10,11,14],[2,5,7,9,12,13,14],[3,4,5,10,12,13,14],[3,4,7,9,11,13,14],[3,4,8,9,10,11,14],[3,5,6,7,8,10,13],[3,5,6,8,9,10,12],[4,5,6,8,11,12,13]]; G[1119]:=Group([(1,7,8)(2,9,6)(3,13,12)(5,10,14)]); # Design 1120: autom. group order 3, simple B[1120]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,10,11,13],[1,2,7,8,11,12,14],[1,3,5,8,9,11,13],[1,3,7,8,9,10,14],[1,4,5,6,11,12,14],[1,4,6,7,8,12,13],[1,4,6,7,9,13,14],[1,5,9,10,12,13,14],[1,6,8,9,10,11,12],[2,3,6,9,11,12,13],[2,3,7,8,12,13,14],[2,4,5,8,9,12,14],[2,4,6,8,9,10,13],[2,4,7,9,10,11,14],[2,5,6,7,9,10,12],[2,5,6,8,11,13,14],[3,4,5,10,12,13,14],[3,4,6,8,10,11,14],[3,4,7,9,11,12,13],[3,5,6,7,8,10,12],[3,5,6,7,9,11,14],[4,5,7,8,10,11,13]]; G[1120]:=Group([(1,2,9)(3,4,8)(6,14,11)(7,12,13)]); # Design 1121: autom. group order 3, simple B[1121]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,10,11,12,13],[1,3,7,8,11,13,14],[1,4,5,6,7,11,14],[1,4,6,7,8,12,13],[1,4,6,9,12,13,14],[1,5,7,9,10,12,14],[1,6,8,9,10,11,12],[2,3,6,7,9,11,12],[2,3,7,8,12,13,14],[2,4,5,10,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,11,12,13],[2,5,6,7,8,10,12],[2,5,6,9,11,13,14],[3,4,5,8,9,12,14],[3,4,6,8,9,10,13],[3,4,7,9,10,11,14],[3,5,6,7,9,10,13],[3,5,6,8,11,12,14],[4,5,7,8,10,11,13]]; G[1121]:=Group([(1,3,9)(2,4,8)(6,14,11)(7,12,13)]); # Design 1122: autom. group order 3, simple, residual B[1122]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,9,10,13],[1,3,7,8,9,12,14],[1,4,5,6,12,13,14],[1,4,6,7,8,10,12],[1,4,7,9,11,13,14],[1,5,6,7,9,11,12],[1,6,8,9,10,11,14],[2,3,6,7,9,11,13],[2,3,6,8,11,12,14],[2,4,5,8,9,11,14],[2,4,6,7,9,10,14],[2,4,6,8,9,12,13],[2,5,7,8,10,12,14],[2,5,7,9,10,12,13],[3,4,5,7,10,11,14],[3,4,7,8,11,12,13],[3,4,9,10,12,13,14],[3,5,6,7,8,13,14],[3,5,6,9,10,11,12],[4,5,6,8,10,11,13]]; G[1122]:=Group([(1,2,9)(3,4,8)(6,14,10)(7,11,13)]); # Design 1123: autom. group order 3, simple, residual B[1123]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,11],[1,2,7,9,11,13,14],[1,3,5,7,12,13,14],[1,3,8,9,11,12,13],[1,4,5,6,8,12,14],[1,4,6,9,10,12,13],[1,4,7,8,11,13,14],[1,5,6,9,10,11,14],[1,6,7,8,9,10,12],[2,3,6,7,9,11,12],[2,3,6,8,10,13,14],[2,4,5,9,12,13,14],[2,4,6,7,8,9,13],[2,4,8,10,11,12,14],[2,5,6,8,11,12,13],[2,5,7,9,10,12,14],[3,4,5,9,10,11,13],[3,4,6,7,11,12,14],[3,4,7,8,9,10,14],[3,5,6,8,9,11,14],[3,5,7,8,10,12,13],[4,5,6,7,10,11,13]]; G[1123]:=Group([(2,6,13)(3,10,14)(4,9,7)(5,12,11)]); # Design 1124: autom. group order 3, simple, residual B[1124]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,8,9,11,13],[1,3,7,8,9,10,14],[1,4,5,6,10,12,14],[1,4,6,7,9,11,14],[1,4,7,9,11,12,13],[1,5,6,8,12,13,14],[1,6,8,9,10,11,12],[2,3,6,7,9,12,13],[2,3,6,9,11,12,14],[2,4,5,8,9,12,14],[2,4,6,8,9,10,13],[2,4,7,8,10,11,14],[2,5,6,7,8,11,12],[2,5,9,10,11,13,14],[3,4,5,10,11,12,13],[3,4,6,8,11,13,14],[3,4,7,8,12,13,14],[3,5,6,7,8,10,11],[3,5,7,9,10,12,14],[4,5,6,7,9,10,13]]; G[1124]:=Group([(1,2,8)(3,4,9)(6,14,11)(7,12,13)]); # Design 1125: autom. group order 3, simple B[1125]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,9,11,12,13],[1,3,5,8,10,12,14],[1,3,7,9,10,12,13],[1,4,5,6,9,13,14],[1,4,6,11,12,13,14],[1,4,7,8,9,10,14],[1,5,6,8,9,11,12],[1,6,7,8,10,11,14],[2,3,6,7,9,12,14],[2,3,6,8,9,11,14],[2,4,5,10,11,12,14],[2,4,6,7,8,10,13],[2,4,8,9,12,13,14],[2,5,6,8,10,12,13],[2,5,7,9,10,11,14],[3,4,5,7,11,13,14],[3,4,6,7,8,11,12],[3,4,8,9,10,11,13],[3,5,6,9,10,11,13],[3,5,7,8,12,13,14],[4,5,6,7,9,10,12]]; G[1125]:=Group([(1,3,10)(2,13,14)(4,9,8)(5,11,7)]); # Design 1126: autom. group order 3, simple B[1126]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,8,9,11,12],[1,3,8,9,10,13,14],[1,4,5,6,12,13,14],[1,4,6,7,9,11,13],[1,4,7,8,11,12,14],[1,5,6,9,10,11,14],[1,6,7,8,9,10,12],[2,3,6,7,8,11,14],[2,3,6,9,11,12,14],[2,4,5,8,9,13,14],[2,4,6,7,8,9,10],[2,4,9,10,11,12,13],[2,5,6,8,11,12,13],[2,5,7,9,10,12,14],[3,4,5,7,10,12,14],[3,4,6,8,10,12,13],[3,4,7,9,11,13,14],[3,5,6,7,9,12,13],[3,5,7,8,10,11,13],[4,5,6,8,10,11,14]]; G[1126]:=Group([(1,2,9)(3,4,8)(6,13,12)(7,14,11)]); # Design 1127: autom. group order 3, simple, residual B[1127]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,8,9,11,12],[1,3,8,9,10,13,14],[1,4,5,6,10,12,14],[1,4,6,9,11,13,14],[1,4,7,9,11,12,13],[1,5,6,7,8,12,14],[1,6,7,8,9,10,11],[2,3,6,7,9,12,13],[2,3,6,9,11,12,14],[2,4,5,8,9,13,14],[2,4,6,7,8,9,10],[2,4,8,10,11,12,14],[2,5,6,8,11,12,13],[2,5,7,9,10,11,14],[3,4,5,7,10,11,13],[3,4,6,7,8,11,14],[3,4,7,8,12,13,14],[3,5,6,8,10,11,13],[3,5,7,9,10,12,14],[4,5,6,9,10,12,13]]; G[1127]:=Group([(1,2,8)(3,4,9)(6,14,11)(7,13,12)]); # Design 1128: autom. group order 3, simple, residual B[1128]:=[[1,2,3,4,5,6,7],[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],[1,3,5,11,12,13,14],[1,3,8,9,10,12,14],[1,4,5,6,9,12,13],[1,4,6,8,10,13,14],[1,4,7,8,9,10,11],[1,5,6,7,8,11,14],[1,6,7,9,11,12,13],[2,3,6,7,8,12,13],[2,3,6,8,9,11,14],[2,4,5,9,11,13,14],[2,4,6,7,10,12,14],[2,4,8,11,12,13,14],[2,5,6,8,9,10,13],[2,5,7,9,10,11,12],[3,4,5,7,10,13,14],[3,4,6,7,9,11,14],[3,4,7,8,9,12,13],[3,5,6,9,10,12,14],[3,5,7,8,10,11,13],[4,5,6,8,10,11,12]]; G[1128]:=Group([(1,13,14)(2,7,9)(4,8,6)(5,12,11)]); # Design 1129: autom. group order 3, simple B[1129]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,8,11,12,14],[1,3,5,10,11,13,14],[1,3,8,9,12,13,14],[1,4,5,6,9,12,14],[1,4,6,9,11,12,13],[1,4,7,8,9,10,14],[1,5,6,7,8,10,12],[1,6,7,9,10,11,13],[2,3,6,7,9,10,12],[2,3,6,8,9,11,14],[2,4,5,10,12,13,14],[2,4,6,8,11,12,13],[2,4,7,9,10,11,14],[2,5,6,8,9,10,13],[2,5,7,9,12,13,14],[3,4,5,7,9,11,13],[3,4,6,7,8,13,14],[3,4,7,8,10,12,13],[3,5,6,7,11,12,14],[3,5,8,9,10,11,12],[4,5,6,8,10,11,14]]; G[1129]:=Group([(1,4,13)(2,7,14)(5,8,10)(9,12,11)]); # Design 1130: autom. group order 3, simple, residual B[1130]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,8,11,12,14],[1,3,5,9,11,13,14],[1,3,8,10,12,13,14],[1,4,5,6,9,12,14],[1,4,6,8,9,12,13],[1,4,7,9,10,11,14],[1,5,6,7,10,11,12],[1,6,7,8,9,10,13],[2,3,6,7,9,10,12],[2,3,6,8,9,11,14],[2,4,5,10,12,13,14],[2,4,6,8,11,12,13],[2,4,7,8,9,10,14],[2,5,6,9,10,11,13],[2,5,7,9,12,13,14],[3,4,5,7,8,10,13],[3,4,6,7,11,13,14],[3,4,7,9,11,12,13],[3,5,6,7,8,12,14],[3,5,8,9,10,11,12],[4,5,6,8,10,11,14]]; G[1130]:=Group([(1,4,13)(2,7,14)(5,11,10)(8,9,12)]); # Design 1131: autom. group order 3, simple, residual B[1131]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,8,10,12,13,14],[1,3,5,11,12,13,14],[1,3,7,8,9,11,14],[1,4,5,6,9,12,14],[1,4,6,7,11,12,13],[1,4,7,9,10,11,14],[1,5,6,8,9,10,12],[1,6,7,8,9,10,13],[2,3,6,7,9,12,13],[2,3,6,8,9,11,14],[2,4,5,9,10,13,14],[2,4,6,7,8,12,14],[2,4,8,9,11,12,13],[2,5,6,7,10,11,14],[2,5,7,9,10,11,12],[3,4,5,7,8,10,13],[3,4,6,9,10,11,13],[3,4,7,8,10,12,14],[3,5,6,8,10,11,12],[3,5,7,9,12,13,14],[4,5,6,8,11,13,14]]; G[1131]:=Group([(1,5,10)(3,7,14)(4,11,13)(8,9,12)]); # Design 1132: autom. group order 3, simple, residual B[1132]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,10,13],[1,2,7,8,11,12,13],[1,3,5,8,11,12,14],[1,3,7,9,10,11,14],[1,4,5,6,11,12,13],[1,4,6,9,10,12,14],[1,4,7,8,9,13,14],[1,5,6,7,9,11,14],[1,6,7,8,10,12,13],[2,3,6,7,8,12,14],[2,3,6,7,9,11,13],[2,4,5,7,10,13,14],[2,4,6,8,9,12,14],[2,4,7,9,10,11,12],[2,5,6,8,10,11,14],[2,5,9,11,12,13,14],[3,4,5,7,12,13,14],[3,4,6,8,9,11,13],[3,4,8,10,11,13,14],[3,5,6,9,10,12,13],[3,5,7,8,9,10,12],[4,5,6,7,8,10,11]]; G[1132]:=Group([(1,13,14)(2,3,6)(4,9,8)(5,11,12)]); # Design 1133: autom. group order 3, simple, residual B[1133]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,11,13,14],[1,3,5,8,9,13,14],[1,3,7,9,11,12,14],[1,4,5,6,9,10,14],[1,4,6,8,11,12,14],[1,4,7,9,10,12,13],[1,5,6,7,8,12,13],[1,6,7,8,9,10,11],[2,3,6,7,8,10,14],[2,3,6,8,9,12,13],[2,4,5,7,11,13,14],[2,4,6,7,9,12,13],[2,4,7,8,9,10,14],[2,5,6,9,11,12,14],[2,5,8,9,10,11,12],[3,4,5,7,8,11,12],[3,4,6,9,11,13,14],[3,4,8,10,12,13,14],[3,5,6,7,10,12,14],[3,5,7,9,10,11,13],[4,5,6,8,10,11,13]]; G[1133]:=Group([(1,12,14)(3,9,7)(4,6,8)(5,13,10)]); # Design 1134: autom. group order 3, simple, residual B[1134]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,12,13,14],[1,3,7,8,9,12,14],[1,4,5,6,9,10,11],[1,4,6,8,11,13,14],[1,4,7,9,10,12,13],[1,5,6,7,11,12,14],[1,6,7,8,9,10,13],[2,3,6,7,9,11,14],[2,3,6,8,10,12,13],[2,4,5,7,8,13,14],[2,4,6,7,8,9,12],[2,4,9,11,12,13,14],[2,5,6,9,10,12,14],[2,5,7,9,10,11,13],[3,4,5,7,10,13,14],[3,4,6,7,11,12,13],[3,4,8,9,10,11,14],[3,5,6,8,9,11,13],[3,5,7,8,10,11,12],[4,5,6,8,10,12,14]]; G[1134]:=Group([(1,5,10)(2,12,7)(3,14,13)(4,6,9)]); # Design 1135: autom. group order 3, simple, residual B[1135]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,12,13,14],[1,3,7,8,10,11,13],[1,4,5,6,9,10,11],[1,4,6,8,11,12,14],[1,4,7,9,10,12,14],[1,5,6,7,11,12,13],[1,6,7,8,9,10,14],[2,3,6,7,8,10,12],[2,3,6,9,11,12,14],[2,4,5,7,8,12,14],[2,4,6,7,11,13,14],[2,4,8,9,10,11,13],[2,5,6,9,10,12,13],[2,5,7,9,10,11,14],[3,4,5,7,10,13,14],[3,4,6,8,9,13,14],[3,4,7,9,11,12,13],[3,5,6,7,8,9,11],[3,5,8,10,11,12,14],[4,5,6,8,10,12,13]]; G[1135]:=Group([(1,5,10)(2,12,7)(3,13,14)(4,6,9)]); # Design 1136: autom. group order 3, simple B[1136]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,11,12,14],[1,3,9,11,12,13,14],[1,4,5,6,9,13,14],[1,4,6,9,10,11,13],[1,4,7,8,9,12,14],[1,5,6,8,10,11,12],[1,6,7,8,9,10,12],[2,3,6,7,9,12,13],[2,3,8,9,10,11,14],[2,4,5,9,10,12,14],[2,4,6,7,11,12,14],[2,4,6,8,11,12,13],[2,5,6,8,9,11,14],[2,5,7,9,10,12,13],[3,4,5,8,10,12,13],[3,4,6,7,8,10,14],[3,4,7,8,9,11,13],[3,5,6,7,9,10,11],[3,5,6,8,12,13,14],[4,5,7,10,11,13,14]]; G[1136]:=Group([(1,2,12)(3,4,11)(5,6,14)(8,13,9)]); # Design 1137: autom. group order 3, simple B[1137]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,11,12,14],[1,3,9,11,12,13,14],[1,4,5,6,9,11,13],[1,4,6,8,9,10,14],[1,4,7,8,10,12,13],[1,5,6,8,10,11,12],[1,6,7,8,9,12,14],[2,3,6,8,9,11,14],[2,3,7,8,9,10,12],[2,4,5,9,10,12,14],[2,4,6,7,11,12,14],[2,4,6,8,11,12,13],[2,5,6,7,9,12,13],[2,5,8,10,11,13,14],[3,4,5,8,12,13,14],[3,4,6,7,10,13,14],[3,4,7,8,9,11,13],[3,5,6,7,8,10,11],[3,5,6,9,10,12,13],[4,5,7,9,10,11,14]]; G[1137]:=Group([(1,2,12)(3,4,11)(5,6,14)(8,13,9)]); # Design 1138: autom. group order 3, simple B[1138]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,13,14],[1,2,7,8,10,11,13],[1,3,5,7,11,12,14],[1,3,9,11,12,13,14],[1,4,5,6,9,11,13],[1,4,6,9,10,13,14],[1,4,7,8,9,10,12],[1,5,6,8,10,11,12],[1,6,7,8,9,12,14],[2,3,6,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,9,10,12,14],[2,4,6,7,11,12,14],[2,4,6,8,11,12,13],[2,5,6,7,9,12,13],[2,5,8,9,10,11,14],[3,4,5,8,12,13,14],[3,4,6,7,8,10,14],[3,4,7,8,9,11,13],[3,5,6,7,9,10,11],[3,5,6,8,10,12,13],[4,5,7,10,11,13,14]]; G[1138]:=Group([(1,2,12)(3,4,11)(5,6,14)(8,13,9)]); # Design 1139: autom. group order 3, simple, residual B[1139]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,13,14],[1,2,7,8,9,10,11],[1,3,5,7,11,12,13],[1,3,9,11,12,13,14],[1,4,5,6,9,11,14],[1,4,6,8,10,13,14],[1,4,7,9,10,12,14],[1,5,6,8,10,11,12],[1,6,7,8,9,12,13],[2,3,6,8,9,11,13],[2,3,7,8,10,12,14],[2,4,5,9,10,12,13],[2,4,6,7,11,12,13],[2,4,6,8,11,12,14],[2,5,6,7,9,12,14],[2,5,9,10,11,13,14],[3,4,5,8,12,13,14],[3,4,6,7,9,10,13],[3,4,7,8,9,11,14],[3,5,6,7,10,11,14],[3,5,6,8,9,10,12],[4,5,7,8,10,11,13]]; G[1139]:=Group([(1,2,12)(3,4,11)(5,6,13)(8,14,9)]); # Design 1140: autom. group order 3, simple, residual B[1140]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,7,9,10,11,12],[1,4,5,6,12,13,14],[1,4,6,7,9,10,13],[1,4,7,8,10,11,14],[1,5,6,8,10,11,14],[1,6,8,9,11,12,13],[2,3,6,7,9,11,14],[2,3,8,10,12,13,14],[2,4,5,10,11,12,13],[2,4,6,8,9,10,14],[2,4,6,8,9,11,12],[2,5,6,7,11,12,14],[2,5,7,8,9,10,13],[3,4,5,9,11,13,14],[3,4,6,7,8,12,13],[3,4,7,8,11,13,14],[3,5,6,7,8,10,12],[3,5,6,9,10,11,13],[4,5,7,9,10,12,14]]; G[1140]:=Group([(1,9,12)(3,8,11)(5,6,10)(7,14,13)]); # Design 1141: autom. group order 3, simple B[1141]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,11,12,13,14],[1,3,7,9,11,12,14],[1,4,5,6,9,12,14],[1,4,6,7,10,13,14],[1,4,8,9,10,11,13],[1,5,6,8,10,12,13],[1,6,7,8,9,11,14],[2,3,6,8,9,10,14],[2,3,7,8,12,13,14],[2,4,5,7,10,11,14],[2,4,6,8,11,12,14],[2,4,6,9,11,12,13],[2,5,6,7,9,12,13],[2,5,9,10,11,13,14],[3,4,5,8,9,13,14],[3,4,6,7,8,11,13],[3,4,7,9,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,10,11,12],[4,5,7,8,10,12,14]]; G[1141]:=Group([(1,4,12)(2,11,3)(5,6,14)(7,8,13)]); # Design 1142: autom. group order 3, simple, residual B[1142]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,9,10,13,14],[1,3,5,7,9,11,14],[1,3,7,8,10,12,13],[1,4,5,6,8,13,14],[1,4,6,7,10,11,12],[1,4,7,8,9,12,14],[1,5,6,9,11,12,13],[1,6,8,9,10,11,14],[2,3,6,9,11,12,14],[2,3,7,8,9,11,13],[2,4,5,10,11,13,14],[2,4,6,7,8,11,14],[2,4,6,7,9,12,13],[2,5,6,8,9,10,12],[2,5,7,8,10,12,14],[3,4,5,9,10,12,14],[3,4,6,8,9,10,13],[3,4,8,11,12,13,14],[3,5,6,7,8,10,11],[3,5,6,7,12,13,14],[4,5,7,9,10,11,13]]; G[1142]:=Group([(1,5,10)(3,8,14)(4,12,13)(6,9,7)]); # Design 1143: autom. group order 3, simple, residual B[1143]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,9,12,14],[1,2,7,8,9,10,13],[1,3,5,7,12,13,14],[1,3,7,8,10,11,14],[1,4,5,6,10,12,14],[1,4,6,9,11,12,13],[1,4,7,9,11,13,14],[1,5,6,8,11,13,14],[1,6,7,8,9,10,12],[2,3,6,9,12,13,14],[2,3,7,9,11,12,14],[2,4,5,7,10,13,14],[2,4,6,7,8,11,14],[2,4,6,7,8,12,13],[2,5,6,9,10,11,14],[2,5,8,10,11,12,13],[3,4,5,8,9,11,13],[3,4,6,8,9,10,14],[3,4,8,10,12,13,14],[3,5,6,7,8,11,12],[3,5,6,7,9,10,13],[4,5,7,9,10,11,12]]; G[1143]:=Group([(1,3,8)(2,4,9)(6,13,12)(7,11,14)]); # Design 1144: autom. group order 3, simple, residual B[1144]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,9,11,12,13,14],[1,4,5,6,9,12,14],[1,4,6,7,10,13,14],[1,4,7,8,9,11,14],[1,5,6,7,8,10,11],[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],[2,4,6,7,11,12,13],[2,4,6,8,11,12,14],[2,5,6,9,10,11,14],[2,5,7,8,12,13,14],[3,4,5,8,10,13,14],[3,4,6,8,9,11,13],[3,4,7,8,10,12,14],[3,5,6,7,9,12,14],[3,5,6,8,10,11,12],[4,5,7,9,10,11,13]]; G[1144]:=Group([(1,4,11)(2,12,3)(5,6,13)(8,14,9)]); # Design 1145: autom. group order 3, simple, residual B[1145]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,8,11,12,14],[1,3,7,9,11,12,14],[1,4,5,6,7,12,13],[1,4,6,8,9,10,14],[1,4,8,9,10,12,13],[1,5,6,7,9,10,11],[1,6,7,8,12,13,14],[2,3,6,7,8,10,14],[2,3,7,8,9,12,13],[2,4,5,10,12,13,14],[2,4,6,7,8,11,12],[2,4,6,9,11,12,14],[2,5,6,8,9,11,13],[2,5,7,9,10,12,14],[3,4,5,7,9,13,14],[3,4,6,9,11,13,14],[3,4,7,8,10,11,13],[3,5,6,8,9,10,12],[3,5,6,10,11,12,13],[4,5,7,8,10,11,14]]; G[1145]:=Group([(1,4,11)(2,12,3)(5,6,14)(7,9,8)]); # Design 1146: autom. group order 3, simple, residual B[1146]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,9,11,13,14],[1,3,5,8,11,12,13],[1,3,7,9,10,12,13],[1,4,5,6,7,12,14],[1,4,6,8,9,10,11],[1,4,8,9,10,12,14],[1,5,6,7,9,10,13],[1,6,7,8,11,12,14],[2,3,6,7,8,10,11],[2,3,7,8,9,12,14],[2,4,5,10,12,13,14],[2,4,6,7,8,12,13],[2,4,6,9,11,12,13],[2,5,6,8,9,10,14],[2,5,7,9,10,11,12],[3,4,5,7,9,11,14],[3,4,6,9,11,13,14],[3,4,7,8,10,13,14],[3,5,6,8,9,12,13],[3,5,6,10,11,12,14],[4,5,7,8,10,11,13]]; G[1146]:=Group([(1,4,13)(3,12,14)(5,6,11)(7,9,8)]); # Design 1147: autom. group order 3, simple B[1147]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,12,13,14],[1,3,7,8,11,12,14],[1,4,5,6,8,11,14],[1,4,6,7,8,9,10],[1,4,7,9,12,13,14],[1,5,6,7,10,12,13],[1,6,8,9,10,11,13],[2,3,6,7,8,13,14],[2,3,7,8,9,10,12],[2,4,5,9,10,13,14],[2,4,6,7,11,12,13],[2,4,6,9,11,12,14],[2,5,6,8,10,12,14],[2,5,7,8,9,11,13],[3,4,5,7,10,11,13],[3,4,6,8,9,12,13],[3,4,8,10,11,13,14],[3,5,6,7,9,11,14],[3,5,6,9,10,11,12],[4,5,7,8,10,12,14]]; G[1147]:=Group([(1,10,12)(2,3,11)(5,13,6)(8,14,9)]); # Design 1148: autom. group order 3, simple, residual B[1148]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,12,13,14],[1,3,7,9,11,12,14],[1,4,5,6,8,11,14],[1,4,6,7,9,10,14],[1,4,7,8,12,13,14],[1,5,6,7,10,12,13],[1,6,8,9,10,11,13],[2,3,6,7,8,9,13],[2,3,7,8,10,12,14],[2,4,5,9,10,13,14],[2,4,6,7,11,12,13],[2,4,6,9,11,12,14],[2,5,6,8,10,12,14],[2,5,7,9,11,13,14],[3,4,5,7,10,11,13],[3,4,6,8,9,12,13],[3,4,8,10,11,13,14],[3,5,6,7,8,11,14],[3,5,6,9,10,11,12],[4,5,7,8,9,10,12]]; G[1148]:=Group([(1,10,12)(2,3,11)(5,13,6)(8,14,9)]); # Design 1149: autom. group order 3, simple, residual B[1149]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,8,10,11,14],[1,3,7,9,10,12,13],[1,4,5,6,9,12,14],[1,4,6,7,10,11,13],[1,4,7,8,12,13,14],[1,5,6,7,8,9,13],[1,6,8,9,10,11,14],[2,3,6,9,12,13,14],[2,3,7,8,9,11,13],[2,4,5,7,10,13,14],[2,4,6,8,9,10,12],[2,4,6,8,11,13,14],[2,5,6,7,9,10,11],[2,5,7,8,10,12,14],[3,4,5,9,11,13,14],[3,4,6,7,8,11,12],[3,4,7,8,9,10,14],[3,5,6,7,11,12,14],[3,5,6,8,10,12,13],[4,5,9,10,11,12,13]]; G[1149]:=Group([(1,7,13)(3,5,14)(4,10,6)(8,12,9)]); # Design 1150: autom. group order 3, simple, residual B[1150]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,7,8,11,12,14],[1,3,5,10,11,12,14],[1,3,7,8,9,10,13],[1,4,5,6,9,12,14],[1,4,6,7,10,11,13],[1,4,7,9,12,13,14],[1,5,6,7,8,12,13],[1,6,8,9,10,11,14],[2,3,6,9,12,13,14],[2,3,7,9,11,12,13],[2,4,5,7,10,13,14],[2,4,6,8,9,10,12],[2,4,6,8,11,13,14],[2,5,6,7,9,10,11],[2,5,7,8,10,12,14],[3,4,5,8,11,13,14],[3,4,6,7,8,11,12],[3,4,7,8,9,10,14],[3,5,6,7,9,11,14],[3,5,6,8,10,12,13],[4,5,9,10,11,12,13]]; G[1150]:=Group([(1,7,13)(3,5,14)(4,10,6)(8,12,9)]); # Design 1151: autom. group order 3, simple, residual B[1151]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,13,14],[1,2,8,10,11,12,13],[1,3,5,7,8,11,13],[1,3,7,9,11,12,14],[1,4,5,6,7,10,12],[1,4,6,8,12,13,14],[1,4,7,9,10,13,14],[1,5,6,9,10,11,14],[1,6,7,8,9,11,12],[2,3,6,7,9,11,13],[2,3,7,8,10,12,14],[2,4,5,9,11,12,14],[2,4,6,7,11,13,14],[2,4,6,8,9,10,11],[2,5,6,7,8,12,14],[2,5,7,9,10,12,13],[3,4,5,11,12,13,14],[3,4,6,8,9,12,13],[3,4,7,8,9,10,14],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13],[4,5,7,8,10,11,13]]; G[1151]:=Group([(1,13,14)(2,6,10)(4,9,8)(5,12,7)]); # Design 1152: autom. group order 3, simple B[1152]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,12],[1,2,8,9,10,13,14],[1,3,5,7,11,13,14],[1,3,7,8,10,12,13],[1,4,5,6,10,11,13],[1,4,6,9,11,12,14],[1,4,7,9,12,13,14],[1,5,6,7,8,12,14],[1,6,7,8,9,10,11],[2,3,6,7,9,11,14],[2,3,7,9,11,12,13],[2,4,5,7,10,12,14],[2,4,6,7,8,12,13],[2,4,6,8,11,13,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[3,4,5,8,9,13,14],[3,4,6,7,8,9,10],[3,4,8,10,11,12,14],[3,5,6,8,11,12,13],[3,5,6,9,10,12,14],[4,5,7,9,10,11,13]]; G[1152]:=Group([(1,3,8)(2,4,9)(6,14,11)(7,13,12)]); # Design 1153: autom. group order 3, simple, residual B[1153]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,9,10,11,12,13],[1,3,5,7,9,11,12],[1,3,7,8,9,10,14],[1,4,5,6,12,13,14],[1,4,6,8,9,12,13],[1,4,7,8,10,11,14],[1,5,6,7,10,12,14],[1,6,7,8,9,11,13],[2,3,6,8,9,12,14],[2,3,7,8,12,13,14],[2,4,5,7,8,10,13],[2,4,6,7,8,11,12],[2,4,6,9,10,11,14],[2,5,6,7,9,11,14],[2,5,7,9,10,12,13],[3,4,5,9,11,13,14],[3,4,6,7,9,10,13],[3,4,7,11,12,13,14],[3,5,6,8,10,11,12],[3,5,6,8,10,11,13],[4,5,8,9,10,12,14]]; G[1153]:=Group([(1,2,14)(3,6,10)(4,9,7)(5,11,8)]); # Design 1154: autom. group order 3, simple, residual B[1154]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,7,9,10,11,14],[1,4,5,9,11,12,14],[1,4,6,7,8,10,14],[1,4,6,7,9,12,13],[1,5,6,8,9,10,11],[1,6,7,8,11,12,13],[2,3,6,7,9,11,12],[2,3,6,8,11,12,14],[2,4,5,6,8,11,13],[2,4,6,9,10,13,14],[2,4,7,8,9,10,12],[2,5,7,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,7,12,13,14],[3,4,7,8,10,11,13],[3,4,8,9,11,13,14],[3,5,6,7,8,9,14],[3,5,6,9,10,12,13],[4,5,6,10,11,12,14]]; G[1154]:=Group([(1,8,14)(2,13,12)(3,11,5)(6,7,10)]); # Design 1155: autom. group order 3, simple, residual B[1155]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,11],[1,2,7,9,10,12,13],[1,3,5,9,12,13,14],[1,3,7,8,12,13,14],[1,4,5,10,11,13,14],[1,4,6,7,9,11,14],[1,4,6,8,11,12,14],[1,5,6,7,8,9,12],[1,6,8,9,10,11,13],[2,3,6,7,11,12,14],[2,3,6,8,9,11,13],[2,4,5,6,9,13,14],[2,4,7,9,11,12,13],[2,4,8,9,10,12,14],[2,5,6,8,10,12,14],[2,5,7,8,11,13,14],[3,4,5,8,11,12,13],[3,4,6,7,8,10,13],[3,4,7,8,9,10,14],[3,5,6,9,10,11,12],[3,5,7,9,10,11,14],[4,5,6,7,10,12,13]]; G[1155]:=Group([(2,11,13)(3,4,14)(5,6,12)(7,8,9)]); # Design 1156: autom. group order 3, simple, residual B[1156]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,10,12,14],[1,3,7,8,12,13,14],[1,4,5,7,10,11,13],[1,4,6,8,9,12,13],[1,4,6,8,10,11,14],[1,5,6,7,8,9,14],[1,6,7,9,10,11,12],[2,3,6,7,8,11,13],[2,3,6,9,11,12,14],[2,4,5,6,7,12,14],[2,4,7,8,10,12,14],[2,4,8,9,10,13,14],[2,5,6,8,9,10,11],[2,5,7,9,10,12,13],[3,4,5,9,11,13,14],[3,4,6,7,9,10,13],[3,4,7,8,9,11,12],[3,5,6,8,10,12,13],[3,5,7,8,10,11,14],[4,5,6,11,12,13,14]]; G[1156]:=Group([(1,10,11)(2,14,5)(3,8,13)(6,7,12)]); # Design 1157: autom. group order 3, simple, residual B[1157]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,11,13,14],[1,3,7,8,11,12,14],[1,4,5,7,10,12,14],[1,4,6,8,9,12,14],[1,4,6,8,10,13,14],[1,5,6,7,9,11,13],[1,6,7,9,10,11,12],[2,3,6,7,8,12,13],[2,3,6,9,10,11,14],[2,4,5,6,7,11,14],[2,4,7,8,9,10,11],[2,4,9,11,12,13,14],[2,5,6,8,9,12,14],[2,5,7,10,12,13,14],[3,4,5,9,10,12,13],[3,4,6,7,9,12,13],[3,4,7,8,11,13,14],[3,5,6,8,10,11,12],[3,5,7,8,9,10,14],[4,5,6,8,10,11,13]]; G[1157]:=Group([(1,4,13)(2,12,11)(3,9,5)(8,10,14)]); # Design 1158: autom. group order 3, simple, residual B[1158]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,9,12,14],[1,3,8,9,10,13,14],[1,4,5,11,12,13,14],[1,4,6,7,8,10,12],[1,4,6,9,11,12,14],[1,5,6,8,9,11,13],[1,6,7,8,10,11,14],[2,3,6,8,11,12,13],[2,3,7,8,11,12,14],[2,4,5,6,10,13,14],[2,4,6,7,8,9,14],[2,4,8,9,12,13,14],[2,5,6,9,10,11,12],[2,5,7,9,10,11,14],[3,4,5,8,10,11,14],[3,4,6,7,9,11,13],[3,4,7,9,10,11,13],[3,5,6,7,12,13,14],[3,5,6,8,9,10,12],[4,5,7,8,10,12,13]]; G[1158]:=Group([(1,2,12)(3,11,4)(5,8,14)(7,13,9)]); # Design 1159: autom. group order 3, simple, residual B[1159]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,7,8,9,10,14],[1,3,5,8,9,11,14],[1,3,7,10,11,13,14],[1,4,5,8,12,13,14],[1,4,6,8,12,13,14],[1,4,6,9,10,11,12],[1,5,6,7,9,11,13],[1,6,7,8,9,10,12],[2,3,6,9,12,13,14],[2,3,7,8,9,12,13],[2,4,5,6,9,10,13],[2,4,6,7,8,11,14],[2,4,7,9,11,12,14],[2,5,6,8,10,11,14],[2,5,8,10,11,12,13],[3,4,5,7,10,12,14],[3,4,6,7,8,11,13],[3,4,8,9,10,11,13],[3,5,6,7,8,10,12],[3,5,6,9,11,12,14],[4,5,7,9,10,13,14]]; G[1159]:=Group([(1,4,13)(2,9,7)(3,10,11)(8,14,12)]); # Design 1160: autom. group order 3, simple, residual B[1160]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,8,12,13,14],[1,3,7,8,11,12,14],[1,4,5,7,9,10,13],[1,4,6,7,8,10,14],[1,4,6,9,11,12,13],[1,5,6,9,11,12,14],[1,6,7,8,9,10,12],[2,3,6,9,10,11,14],[2,3,7,8,9,12,13],[2,4,5,6,8,11,12],[2,4,6,7,12,13,14],[2,4,7,8,9,11,14],[2,5,6,8,10,12,13],[2,5,7,9,10,12,14],[3,4,5,9,10,12,14],[3,4,6,8,9,13,14],[3,4,7,10,11,12,13],[3,5,6,7,8,10,11],[3,5,6,7,9,11,13],[4,5,8,10,11,13,14]]; G[1160]:=Group([(1,5,10)(2,14,8)(3,12,6)(4,9,7)]); # Design 1161: autom. group order 3, simple, residual B[1161]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,13,14],[1,2,8,9,11,12,13],[1,3,5,9,10,11,13],[1,3,7,9,12,13,14],[1,4,5,10,11,12,14],[1,4,6,7,8,10,13],[1,4,6,7,8,11,12],[1,5,6,7,9,11,14],[1,6,8,9,10,12,14],[2,3,6,7,9,10,12],[2,3,7,8,11,12,14],[2,4,5,6,9,12,14],[2,4,6,9,11,13,14],[2,4,7,10,11,13,14],[2,5,6,8,10,12,13],[2,5,7,8,9,10,11],[3,4,5,8,12,13,14],[3,4,6,8,9,11,13],[3,4,7,8,9,10,14],[3,5,6,7,11,12,13],[3,5,6,8,10,11,14],[4,5,7,9,10,12,13]]; G[1161]:=Group([(2,6,11)(3,7,12)(5,8,10)(9,13,14)]); # Design 1162: autom. group order 3, simple, residual B[1162]:=[[1,2,3,4,5,6,7],[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],[1,2,8,10,12,13,14],[1,3,5,9,10,13,14],[1,3,7,9,11,12,14],[1,4,5,8,11,13,14],[1,4,6,7,8,9,13],[1,4,6,7,10,12,14],[1,5,6,9,11,12,13],[1,6,7,8,9,10,11],[2,3,6,8,9,12,13],[2,3,7,8,9,11,14],[2,4,5,6,9,10,14],[2,4,6,9,11,12,14],[2,4,7,8,10,11,13],[2,5,6,7,11,13,14],[2,5,7,9,10,12,13],[3,4,5,7,11,12,13],[3,4,6,8,12,13,14],[3,4,7,9,10,13,14],[3,5,6,7,8,10,12],[3,5,6,8,10,11,14],[4,5,8,9,10,11,12]]; G[1162]:=Group([(1,6,14)(2,8,9)(4,12,7)(5,13,11)]); # Design 1163: autom. group order 3, simple, residual B[1163]:=[[1,2,3,4,5,6,7],[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],[1,3,7,8,9,12,14],[1,4,5,9,10,13,14],[1,4,6,7,8,11,12],[1,4,6,9,11,12,13],[1,5,6,7,8,10,13],[1,6,8,9,10,12,14],[2,3,6,8,9,10,11],[2,3,7,8,12,13,14],[2,4,5,6,8,12,14],[2,4,6,7,9,10,14],[2,4,8,9,11,13,14],[2,5,6,7,9,12,13],[2,5,7,9,10,11,12],[3,4,5,8,10,12,13],[3,4,6,7,11,13,14],[3,4,7,9,10,12,13],[3,5,6,8,9,11,13],[3,5,6,10,11,12,14],[4,5,7,8,10,11,14]]; G[1163]:=Group([(1,3,12)(2,10,11)(5,13,6)(7,8,9)]); # Design 1164: autom. group order 3, simple B[1164]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,8,13,14],[1,3,7,9,11,13,14],[1,4,5,9,10,11,14],[1,4,6,8,9,12,14],[1,4,6,8,10,11,13],[1,5,6,7,10,12,13],[1,6,7,8,9,10,12],[2,3,6,8,9,10,14],[2,3,7,8,10,11,12],[2,4,5,6,7,12,14],[2,4,6,7,9,11,13],[2,4,7,8,10,13,14],[2,5,6,8,9,11,13],[2,5,9,10,12,13,14],[3,4,5,9,10,12,13],[3,4,6,11,12,13,14],[3,4,7,8,9,12,13],[3,5,6,7,9,10,11],[3,5,6,8,11,12,14],[4,5,7,8,10,11,14]]; G[1164]:=Group([(1,4,13)(2,12,14)(5,9,7)(6,10,11)]); # Design 1165: autom. group order 3, simple, residual B[1165]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,11,12,14],[1,3,5,7,9,12,14],[1,3,9,10,12,13,14],[1,4,5,8,11,12,13],[1,4,6,7,8,9,13],[1,4,6,7,10,12,14],[1,5,6,9,11,13,14],[1,6,7,8,9,10,11],[2,3,6,8,9,12,13],[2,3,7,8,9,11,14],[2,4,5,6,9,10,14],[2,4,6,9,11,12,14],[2,4,7,8,10,13,14],[2,5,6,7,11,12,13],[2,5,7,9,10,12,13],[3,4,5,7,11,13,14],[3,4,6,8,12,13,14],[3,4,7,9,10,11,13],[3,5,6,7,8,10,12],[3,5,6,8,10,11,14],[4,5,8,9,10,11,12]]; G[1165]:=Group([(1,6,14)(2,3,8)(4,12,7)(5,13,11)]); # Design 1166: autom. group order 3, simple, residual B[1166]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,10,13,14],[1,3,5,8,9,11,14],[1,3,7,8,10,12,14],[1,4,5,7,9,12,13],[1,4,6,7,8,11,13],[1,4,6,7,9,10,14],[1,5,6,11,12,13,14],[1,6,8,9,10,11,12],[2,3,6,7,8,12,13],[2,3,7,9,11,13,14],[2,4,5,6,10,12,14],[2,4,6,8,9,11,14],[2,4,7,8,11,12,14],[2,5,6,8,9,10,13],[2,5,7,9,10,11,12],[3,4,5,10,11,13,14],[3,4,6,9,12,13,14],[3,4,8,9,10,12,13],[3,5,6,7,8,10,14],[3,5,6,7,9,11,12],[4,5,7,8,10,11,13]]; G[1166]:=Group([(1,4,7)(2,8,10)(3,11,14)(5,13,9)]); # Design 1167: autom. group order 3, simple B[1167]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,13,14],[1,2,7,8,9,10,11],[1,3,5,11,12,13,14],[1,3,7,9,11,12,13],[1,4,5,7,8,12,13],[1,4,6,7,8,11,14],[1,4,6,9,11,13,14],[1,5,6,7,9,10,12],[1,6,8,9,10,12,14],[2,3,6,8,9,11,12],[2,3,7,8,9,13,14],[2,4,5,6,9,12,14],[2,4,6,7,10,11,13],[2,4,7,9,12,13,14],[2,5,6,8,11,12,13],[2,5,7,10,11,12,14],[3,4,5,9,10,11,14],[3,4,6,8,10,12,13],[3,4,7,8,10,12,14],[3,5,6,7,8,11,14],[3,5,6,7,9,10,13],[4,5,8,9,10,11,13]]; G[1167]:=Group([(1,4,12)(2,10,11)(5,8,13)(6,14,9)]); # Design 1168: autom. group order 3, simple, residual B[1168]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,7,9,10,12,13],[1,3,5,9,11,12,14],[1,3,7,8,9,13,14],[1,4,5,7,8,12,13],[1,4,6,7,10,12,14],[1,4,6,9,11,13,14],[1,5,6,7,8,11,14],[1,6,8,9,10,11,12],[2,3,6,8,12,13,14],[2,3,7,8,11,12,14],[2,4,5,6,9,12,14],[2,4,6,8,9,11,13],[2,4,7,8,9,10,14],[2,5,6,7,11,12,13],[2,5,7,9,10,11,14],[3,4,5,10,11,13,14],[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],[4,5,8,10,12,13,14]]; G[1168]:=Group([(1,7,11)(2,9,4)(3,10,13)(5,14,6)]); # Design 1169: autom. group order 3, simple, residual B[1169]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,8,9,12,14],[1,3,7,9,10,12,13],[1,4,5,7,9,11,13],[1,4,6,7,9,10,14],[1,4,6,8,12,13,14],[1,5,6,7,11,12,14],[1,6,8,9,10,11,12],[2,3,6,9,11,13,14],[2,3,7,9,11,12,14],[2,4,5,6,10,11,12],[2,4,6,8,9,12,13],[2,4,7,8,9,10,14],[2,5,6,7,9,12,13],[2,5,7,8,10,12,14],[3,4,5,10,12,13,14],[3,4,6,7,8,11,14],[3,4,7,8,11,12,13],[3,5,6,7,8,10,13],[3,5,6,8,9,10,11],[4,5,9,10,11,13,14]]; G[1169]:=Group([(1,7,12)(2,8,4)(3,10,13)(5,14,6)]); # Design 1170: autom. group order 3, simple, residual B[1170]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,11,12,13,14],[1,3,7,8,12,13,14],[1,4,5,7,10,11,13],[1,4,6,7,8,11,14],[1,4,6,9,10,12,13],[1,5,6,9,10,12,14],[1,6,7,8,9,10,11],[2,3,6,8,10,11,14],[2,3,7,9,10,11,12],[2,4,5,6,7,12,14],[2,4,6,9,11,13,14],[2,4,7,8,10,12,13],[2,5,6,8,11,12,13],[2,5,7,9,10,13,14],[3,4,5,8,9,10,14],[3,4,6,8,9,12,13],[3,4,7,9,11,13,14],[3,5,6,7,8,10,13],[3,5,6,7,9,11,12],[4,5,8,10,11,12,14]]; G[1170]:=Group([(1,3,9)(2,4,8)(6,14,11)(7,10,13)]); # Design 1171: autom. group order 3, simple, residual B[1171]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,10,12,14],[1,3,5,9,12,13,14],[1,3,7,11,12,13,14],[1,4,5,7,8,11,14],[1,4,6,8,9,11,13],[1,4,6,9,11,12,14],[1,5,6,7,9,10,12],[1,6,7,8,9,10,13],[2,3,6,8,9,12,14],[2,3,7,8,9,11,13],[2,4,5,6,7,12,13],[2,4,6,8,12,13,14],[2,4,7,9,10,11,14],[2,5,6,9,10,11,14],[2,5,7,9,11,12,13],[3,4,5,9,10,13,14],[3,4,6,7,10,13,14],[3,4,7,8,9,10,12],[3,5,6,7,8,11,14],[3,5,6,8,10,11,12],[4,5,8,10,11,12,13]]; G[1171]:=Group([(1,11,14)(3,9,8)(4,7,12)(5,13,6)]); # Design 1172: autom. group order 3, simple, residual B[1172]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,8,9,11,12,13],[1,3,5,8,10,12,14],[1,3,7,9,11,12,14],[1,4,5,8,9,10,13],[1,4,6,7,8,11,13],[1,4,6,7,9,12,14],[1,5,6,7,10,12,13],[1,6,8,9,10,11,14],[2,3,6,7,8,10,11],[2,3,7,8,9,13,14],[2,4,5,6,9,11,14],[2,4,7,8,10,12,14],[2,4,7,9,10,12,13],[2,5,6,8,12,13,14],[2,5,6,9,10,11,12],[3,4,5,11,12,13,14],[3,4,6,8,11,12,13],[3,4,6,9,10,13,14],[3,5,6,7,8,9,12],[3,5,7,9,10,11,13],[4,5,7,8,10,11,14]]; G[1172]:=Group([(1,10,11)(2,12,3)(5,7,13)(6,9,14)]); # Design 1173: autom. group order 3, simple, residual B[1173]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,11,13,14],[1,3,5,9,12,13,14],[1,3,7,8,11,12,13],[1,4,5,8,11,13,14],[1,4,6,7,9,11,14],[1,4,6,9,10,12,14],[1,5,6,7,8,9,10],[1,6,7,8,10,12,13],[2,3,6,8,9,13,14],[2,3,7,9,10,12,14],[2,4,5,6,7,12,13],[2,4,7,8,9,12,13],[2,4,7,8,10,11,14],[2,5,6,8,11,12,14],[2,5,6,9,10,11,13],[3,4,5,7,10,13,14],[3,4,6,8,9,11,12],[3,4,6,8,10,13,14],[3,5,6,7,11,12,14],[3,5,7,8,9,10,11],[4,5,9,10,11,12,13]]; G[1173]:=Group([(1,5,13)(2,10,7)(3,9,12)(4,11,8)]); # Design 1174: autom. group order 3, simple, residual B[1174]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,6,7,9,10,12],[1,3,5,6,11,13,14],[1,3,7,8,12,13,14],[1,4,5,8,9,10,14],[1,4,6,7,9,11,14],[1,4,7,9,12,13,14],[1,5,7,8,10,11,12],[1,6,8,9,10,11,13],[2,3,6,9,10,12,14],[2,3,7,8,9,11,14],[2,4,5,7,10,13,14],[2,4,6,8,12,13,14],[2,4,7,8,10,11,13],[2,5,6,7,9,11,13],[2,5,8,9,11,12,14],[3,4,5,9,11,12,13],[3,4,6,7,8,11,12],[3,4,6,8,9,10,13],[3,5,6,7,8,10,14],[3,5,7,9,10,12,13],[4,5,6,10,11,12,14]]; G[1174]:=Group([(2,9,13)(3,4,14)(5,7,11)(8,12,10)]); # Design 1175: autom. group order 3, simple B[1175]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,10,12,13],[1,2,6,7,8,12,14],[1,3,5,8,9,12,14],[1,3,6,8,9,10,13],[1,4,5,6,7,11,14],[1,4,7,8,11,12,13],[1,4,9,11,12,13,14],[1,5,7,9,10,13,14],[1,6,7,8,9,10,11],[2,3,6,7,9,11,13],[2,3,7,8,12,13,14],[2,4,5,8,9,11,13],[2,4,6,9,10,12,14],[2,4,7,8,9,10,14],[2,5,6,8,11,13,14],[2,5,7,9,10,11,12],[3,4,5,7,10,13,14],[3,4,6,7,9,12,13],[3,4,6,8,10,11,14],[3,5,6,9,11,12,14],[3,5,7,8,10,11,12],[4,5,6,8,10,12,13]]; G[1175]:=Group([(1,2,9)(3,4,8)(6,11,14)(7,13,12)]); # Design 1176: autom. group order 3, simple, residual B[1176]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,12,13,14],[1,2,6,7,8,10,13],[1,3,5,7,9,10,13],[1,3,6,9,11,12,14],[1,4,5,8,10,12,14],[1,4,6,8,9,12,13],[1,4,7,9,11,13,14],[1,5,6,7,8,11,14],[1,7,8,9,10,11,12],[2,3,6,8,9,11,13],[2,3,7,8,9,12,14],[2,4,5,7,9,11,14],[2,4,6,7,9,10,12],[2,4,6,8,10,11,14],[2,5,7,8,11,12,13],[2,5,9,10,12,13,14],[3,4,5,8,11,12,13],[3,4,6,7,12,13,14],[3,4,7,8,10,13,14],[3,5,6,7,10,11,12],[3,5,6,8,9,10,14],[4,5,6,9,10,11,13]]; G[1176]:=Group([(1,7,12)(2,4,13)(3,14,5)(8,10,9)]); # Design 1177: autom. group order 3, simple, residual B[1177]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,12],[1,2,6,8,11,13,14],[1,3,5,9,12,13,14],[1,3,6,7,8,9,13],[1,4,5,8,12,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,11,13],[1,5,7,9,10,11,14],[1,6,7,8,9,11,12],[2,3,6,8,9,10,14],[2,3,7,9,11,12,13],[2,4,5,6,9,11,13],[2,4,7,8,9,10,14],[2,4,7,9,12,13,14],[2,5,6,8,11,12,14],[2,5,7,8,10,12,13],[3,4,5,7,8,11,14],[3,4,6,7,11,12,14],[3,4,6,8,10,12,13],[3,5,6,7,10,13,14],[3,5,8,9,10,11,12],[4,5,6,9,10,11,13]]; G[1177]:=Group([(1,7,14)(3,12,8)(4,13,6)(5,9,11)]); # Design 1178: autom. group order 3, simple B[1178]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,6,9,11,12,13],[1,3,5,7,12,13,14],[1,3,6,7,8,9,14],[1,4,5,9,12,13,14],[1,4,6,8,10,13,14],[1,4,7,9,10,11,14],[1,5,7,8,10,11,13],[1,6,7,8,9,11,12],[2,3,6,7,9,10,13],[2,3,7,8,12,13,14],[2,4,5,6,7,11,14],[2,4,7,8,9,10,13],[2,4,7,8,11,12,14],[2,5,6,9,11,13,14],[2,5,8,9,10,12,14],[3,4,5,8,9,11,13],[3,4,6,8,11,12,13],[3,4,6,9,10,12,14],[3,5,6,8,10,11,14],[3,5,7,9,10,11,12],[4,5,6,7,10,12,13]]; G[1178]:=Group([(1,8,13)(3,12,9)(4,14,6)(5,7,11)]); # Design 1179: autom. group order 3, simple, residual B[1179]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,10,13,14],[1,3,6,8,12,13,14],[1,4,5,8,11,12,13],[1,4,6,8,9,12,14],[1,4,7,9,11,13,14],[1,5,7,9,10,11,12],[1,6,7,8,9,10,11],[2,3,6,9,11,12,14],[2,3,7,8,9,11,12],[2,4,5,8,9,10,14],[2,4,6,8,10,11,13],[2,4,7,9,12,13,14],[2,5,6,9,10,12,13],[2,5,7,8,11,13,14],[3,4,5,6,7,11,14],[3,4,6,7,9,10,13],[3,4,7,8,10,12,13],[3,5,6,8,9,11,13],[3,5,7,8,10,12,14],[4,5,6,10,11,12,14]]; G[1179]:=Group([(1,3,7)(2,4,6)(8,11,13)(9,14,12)]); # Design 1180: autom. group order 3, simple B[1180]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,10],[1,3,5,8,10,12,13],[1,3,6,9,12,13,14],[1,4,5,9,11,13,14],[1,4,6,8,9,12,14],[1,4,7,8,11,12,13],[1,5,7,8,10,11,14],[1,6,7,9,10,11,12],[2,3,6,8,11,12,14],[2,3,7,8,9,11,14],[2,4,5,9,10,12,14],[2,4,6,9,10,11,13],[2,4,7,8,12,13,14],[2,5,6,8,10,12,13],[2,5,7,9,11,12,13],[3,4,5,6,7,11,12],[3,4,6,7,10,13,14],[3,4,7,8,9,10,13],[3,5,6,8,9,11,13],[3,5,7,9,10,12,14],[4,5,6,8,10,11,14]]; G[1180]:=Group([(1,3,7)(2,4,6)(8,12,14)(9,11,13)]); # Design 1181: autom. group order 3, simple B[1181]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,9,10],[1,2,6,7,10,13,14],[1,3,5,8,11,13,14],[1,3,6,7,9,11,12],[1,4,5,9,12,13,14],[1,4,6,8,11,12,13],[1,4,7,9,10,12,14],[1,5,7,8,10,12,14],[1,6,7,8,9,11,13],[2,3,6,7,8,12,14],[2,3,8,9,12,13,14],[2,4,5,7,11,12,13],[2,4,6,8,10,12,13],[2,4,7,8,9,11,14],[2,5,6,9,11,12,14],[2,5,7,9,10,11,13],[3,4,5,6,7,13,14],[3,4,6,9,10,11,14],[3,4,7,8,9,10,13],[3,5,6,9,10,12,13],[3,5,7,8,10,11,12],[4,5,6,8,10,11,14]]; G[1181]:=Group([(2,11,14)(3,13,10)(4,8,7)(5,6,12)]); # Design 1182: autom. group order 3, simple, residual B[1182]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,10,12,13],[1,2,6,7,8,9,13],[1,3,5,8,9,12,14],[1,3,6,8,10,13,14],[1,4,5,9,11,13,14],[1,4,6,7,11,12,14],[1,4,7,8,12,13,14],[1,5,7,9,10,11,12],[1,6,7,8,9,10,11],[2,3,6,7,9,12,14],[2,3,7,9,11,13,14],[2,4,5,7,8,10,14],[2,4,6,9,10,12,14],[2,4,8,9,11,12,13],[2,5,6,8,11,12,13],[2,5,7,8,10,11,14],[3,4,5,6,7,11,13],[3,4,6,8,9,10,11],[3,4,7,8,10,12,13],[3,5,6,8,11,12,14],[3,5,7,9,10,12,13],[4,5,6,9,10,13,14]]; G[1182]:=Group([(1,6,13)(2,10,8)(3,9,12)(5,14,7)]); # Design 1183: autom. group order 3, simple, residual B[1183]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,8,10,14],[1,3,6,7,9,11,14],[1,4,5,7,12,13,14],[1,4,6,8,9,10,13],[1,4,8,9,11,12,14],[1,5,7,9,11,12,13],[1,6,7,8,10,11,13],[2,3,6,8,12,13,14],[2,3,7,8,9,11,13],[2,4,5,9,10,11,13],[2,4,6,7,9,13,14],[2,4,7,8,11,12,14],[2,5,6,7,10,11,12],[2,5,7,8,9,10,14],[3,4,5,6,11,13,14],[3,4,6,7,9,10,12],[3,4,7,8,10,12,13],[3,5,6,8,9,11,12],[3,5,9,10,12,13,14],[4,5,6,8,10,11,14]]; G[1183]:=Group([(1,4,8)(2,11,6)(3,14,13)(5,12,10)]); # Design 1184: autom. group order 3, simple, residual B[1184]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,9,12,14],[1,3,6,8,12,13,14],[1,4,5,7,12,13,14],[1,4,7,9,10,11,13],[1,4,8,9,11,13,14],[1,5,6,7,8,10,11],[1,6,7,8,9,11,12],[2,3,6,7,9,11,14],[2,3,7,8,11,12,13],[2,4,5,8,11,12,14],[2,4,6,7,8,13,14],[2,4,7,8,9,10,12],[2,5,6,9,11,12,13],[2,5,7,9,10,13,14],[3,4,5,6,9,11,13],[3,4,6,7,10,12,13],[3,4,6,8,9,10,14],[3,5,7,8,10,11,14],[3,5,8,9,10,12,13],[4,5,6,10,11,12,14]]; G[1184]:=Group([(1,5,11)(2,14,9)(3,12,13)(6,10,7)]); # Design 1185: autom. group order 3, simple B[1185]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,12,13,14],[1,3,6,8,11,12,13],[1,4,5,9,11,13,14],[1,4,7,8,9,10,14],[1,4,7,8,10,12,13],[1,5,6,8,9,10,12],[1,6,7,9,11,12,14],[2,3,7,8,9,12,13],[2,3,7,9,10,12,14],[2,4,5,8,11,12,14],[2,4,6,8,12,13,14],[2,4,6,9,10,13,14],[2,5,6,9,10,11,12],[2,5,7,8,9,11,13],[3,4,5,6,7,12,14],[3,4,6,7,9,11,13],[3,4,6,8,9,10,11],[3,5,6,8,10,13,14],[3,5,7,8,10,11,14],[4,5,7,10,11,12,13]]; G[1185]:=Group([(1,3,6)(2,4,7)(8,12,13)(9,14,10)]); # Design 1186: autom. group order 3, simple, residual B[1186]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,10],[1,3,5,8,12,13,14],[1,3,6,9,10,12,13],[1,4,5,9,10,11,14],[1,4,7,8,9,12,13],[1,4,7,8,11,13,14],[1,5,6,9,11,12,14],[1,6,7,8,10,11,12],[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],[2,4,6,9,12,13,14],[2,5,6,8,10,11,13],[2,5,7,9,10,12,14],[3,4,5,6,7,11,12],[3,4,6,7,10,13,14],[3,4,6,8,9,10,14],[3,5,6,8,9,11,13],[3,5,7,8,10,12,14],[4,5,7,9,10,11,13]]; G[1186]:=Group([(1,3,6)(2,4,7)(8,11,14)(9,12,13)]); # Design 1187: autom. group order 3, simple, residual B[1187]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,8,12,13,14],[1,3,6,9,10,12,14],[1,4,5,9,10,11,13],[1,4,7,8,9,12,14],[1,4,7,8,11,12,13],[1,5,6,9,11,13,14],[1,6,7,8,9,10,11],[2,3,7,8,9,11,13],[2,3,7,9,11,12,14],[2,4,5,8,9,10,14],[2,4,6,8,11,13,14],[2,4,6,9,12,13,14],[2,5,6,8,10,11,12],[2,5,7,9,10,12,13],[3,4,5,6,7,11,14],[3,4,6,7,9,10,13],[3,4,6,8,10,12,13],[3,5,6,8,9,11,12],[3,5,7,8,10,13,14],[4,5,7,10,11,12,14]]; G[1187]:=Group([(1,3,6)(2,4,7)(8,11,13)(9,14,12)]); # Design 1188: autom. group order 3, simple B[1188]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,13,14],[1,2,6,7,8,9,10],[1,3,5,8,12,13,14],[1,3,6,9,10,12,13],[1,4,5,8,10,11,13],[1,4,7,8,9,11,14],[1,4,7,9,12,13,14],[1,5,6,9,11,12,14],[1,6,7,8,10,11,12],[2,3,7,8,9,12,13],[2,3,7,8,11,12,14],[2,4,5,9,10,12,14],[2,4,6,8,11,13,14],[2,4,6,9,11,12,13],[2,5,6,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,6,7,11,12],[3,4,6,7,10,13,14],[3,4,6,8,9,10,14],[3,5,6,8,9,11,13],[3,5,7,9,10,11,14],[4,5,7,8,10,12,13]]; G[1188]:=Group([(1,3,6)(2,4,7)(8,11,14)(9,12,13)]); # Design 1189: autom. group order 3, simple, residual B[1189]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,10,12,14],[1,3,7,8,9,13,14],[1,4,5,9,11,12,14],[1,4,6,7,8,10,14],[1,4,6,8,11,12,13],[1,5,6,7,9,11,13],[1,7,8,9,10,11,12],[2,3,6,8,9,11,14],[2,3,7,8,11,12,13],[2,4,5,7,11,13,14],[2,4,6,7,9,10,11],[2,4,7,8,9,12,14],[2,5,6,8,10,12,14],[2,5,7,9,10,12,13],[3,4,5,8,9,10,13],[3,4,6,7,12,13,14],[3,4,6,9,10,12,13],[3,5,6,7,8,10,11],[3,5,6,9,11,12,14],[4,5,8,10,11,13,14]]; G[1189]:=Group([(1,11,12)(2,14,6)(3,5,13)(8,10,9)]); # Design 1190: autom. group order 3, simple, residual B[1190]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,12,13,14],[1,2,6,8,9,12,13],[1,3,5,7,8,10,13],[1,3,7,9,11,12,13],[1,4,5,9,11,13,14],[1,4,6,7,8,11,14],[1,4,6,8,10,12,14],[1,5,7,8,9,10,14],[1,6,7,9,10,11,12],[2,3,6,8,9,11,14],[2,3,7,8,10,12,14],[2,4,5,7,11,12,14],[2,4,6,7,9,10,13],[2,4,7,9,10,13,14],[2,5,6,8,10,11,13],[2,5,7,8,9,11,12],[3,4,5,6,9,10,12],[3,4,6,7,8,11,13],[3,4,8,9,12,13,14],[3,5,6,7,12,13,14],[3,5,6,9,10,11,14],[4,5,8,10,11,12,13]]; G[1190]:=Group([(1,5,11)(2,10,7)(3,8,12)(4,13,9)]); # Design 1191: autom. group order 3, simple B[1191]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,10,13],[1,2,6,8,9,11,12],[1,3,5,8,12,13,14],[1,3,7,9,11,12,13],[1,4,5,9,11,13,14],[1,4,6,7,8,11,14],[1,4,6,8,10,12,14],[1,5,7,8,9,10,14],[1,6,7,9,10,12,13],[2,3,6,8,9,13,14],[2,3,7,8,10,12,14],[2,4,5,7,12,13,14],[2,4,7,8,9,12,13],[2,4,7,9,10,11,14],[2,5,6,8,10,11,13],[2,5,6,9,11,12,14],[3,4,5,6,9,10,12],[3,4,6,7,8,11,13],[3,4,6,9,10,13,14],[3,5,6,7,11,12,14],[3,5,7,8,9,10,11],[4,5,8,10,11,12,13]]; G[1191]:=Group([(1,5,13)(2,10,7)(3,8,12)(4,11,9)]); # Design 1192: autom. group order 3, simple, residual B[1192]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,6,7,9,11,13],[1,3,5,9,12,13,14],[1,3,7,8,11,12,13],[1,4,5,8,11,13,14],[1,4,6,7,9,11,14],[1,4,6,9,10,12,14],[1,5,7,8,9,10,14],[1,6,7,8,10,12,13],[2,3,6,8,9,13,14],[2,3,7,9,10,12,14],[2,4,5,7,12,13,14],[2,4,7,8,9,12,13],[2,4,7,8,10,11,14],[2,5,6,8,11,12,14],[2,5,6,9,10,11,13],[3,4,5,6,7,10,13],[3,4,6,8,9,11,12],[3,4,6,8,10,13,14],[3,5,6,7,11,12,14],[3,5,7,8,9,10,11],[4,5,9,10,11,12,13]]; G[1192]:=Group([(1,5,13)(2,10,7)(3,9,12)(4,11,8)]); # Design 1193: autom. group order 3, simple B[1193]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,7,9,10,12,13],[1,3,5,9,11,13,14],[1,3,6,7,10,12,14],[1,4,5,7,8,10,13],[1,4,6,8,9,10,14],[1,4,6,8,11,12,14],[1,5,6,7,9,11,14],[1,7,8,9,11,12,13],[2,3,6,7,8,13,14],[2,3,6,8,9,11,12],[2,4,5,7,11,12,14],[2,4,6,9,10,13,14],[2,4,7,8,11,13,14],[2,5,6,7,9,10,11],[2,5,8,9,10,12,14],[3,4,5,9,12,13,14],[3,4,6,7,9,12,13],[3,4,7,8,9,10,11],[3,5,6,8,10,11,13],[3,5,7,8,10,12,14],[4,5,6,10,11,12,13]]; G[1193]:=Group([(1,5,13)(2,6,12)(3,11,9)(4,10,7)]); # Design 1194: autom. group order 3, simple B[1194]:=[[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],[1,2,5,8,9,10,12],[1,2,8,9,11,12,13],[1,3,5,10,11,13,14],[1,3,7,8,10,12,14],[1,4,6,7,9,12,13],[1,4,6,8,11,12,14],[1,4,7,8,10,11,13],[1,5,6,7,9,10,14],[1,5,6,9,11,13,14],[2,3,6,9,11,12,14],[2,3,7,9,10,11,13],[2,4,5,7,12,13,14],[2,4,5,10,11,12,14],[2,4,6,8,10,13,14],[2,5,6,7,8,11,13],[2,6,7,8,9,10,14],[3,4,5,8,9,13,14],[3,4,6,9,10,12,13],[3,4,7,8,9,11,14],[3,5,6,7,8,11,12],[3,5,6,8,10,12,13],[4,5,7,9,10,11,12]]; G[1194]:=Group([(1,4,8)(2,3,9)(6,14,12)(7,13,10)]); # Design 1195: autom. group order 3, simple B[1195]:=[[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],[1,2,5,8,9,10,12],[1,2,8,9,11,12,13],[1,3,5,10,11,13,14],[1,3,7,8,10,12,14],[1,4,6,7,9,12,13],[1,4,6,8,11,12,14],[1,4,7,8,10,11,13],[1,5,6,7,9,11,14],[1,5,6,9,10,13,14],[2,3,6,9,11,12,14],[2,3,7,9,10,11,13],[2,4,5,7,10,12,14],[2,4,5,11,12,13,14],[2,4,6,8,10,13,14],[2,5,6,7,8,11,13],[2,6,7,8,9,10,14],[3,4,5,8,9,13,14],[3,4,6,9,10,12,13],[3,4,7,8,9,11,14],[3,5,6,7,8,12,13],[3,5,6,8,10,11,12],[4,5,7,9,10,11,12]]; G[1195]:=Group([(1,4,8)(2,3,9)(6,14,12)(7,13,10)]); # Design 1196: autom. group order 3, simple B[1196]:=[[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],[1,2,5,8,9,10,12],[1,2,8,9,11,12,13],[1,3,5,10,11,13,14],[1,3,7,8,10,12,14],[1,4,6,7,9,12,13],[1,4,6,8,11,12,14],[1,4,7,8,10,11,13],[1,5,6,7,9,13,14],[1,5,6,9,10,11,14],[2,3,6,9,11,12,14],[2,3,7,9,10,11,13],[2,4,5,7,11,12,14],[2,4,5,10,12,13,14],[2,4,6,8,10,13,14],[2,5,6,7,8,11,13],[2,6,7,8,9,10,14],[3,4,5,8,9,13,14],[3,4,6,9,10,12,13],[3,4,7,8,9,11,14],[3,5,6,7,8,10,12],[3,5,6,8,11,12,13],[4,5,7,9,10,11,12]]; G[1196]:=Group([(1,4,8)(2,3,9)(6,14,12)(7,13,10)]); # Design 1197: autom. group order 3, simple B[1197]:=[[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],[1,2,7,8,9,11,12],[1,3,5,7,11,13,14],[1,3,7,8,10,12,14],[1,4,6,8,11,12,14],[1,4,6,9,10,12,13],[1,4,7,8,10,11,13],[1,5,6,7,9,10,14],[1,5,6,9,11,13,14],[2,3,6,9,11,12,14],[2,3,7,9,10,11,13],[2,4,5,7,11,12,14],[2,4,5,10,12,13,14],[2,4,6,7,8,13,14],[2,5,6,8,10,11,13],[2,6,7,8,9,10,14],[3,4,5,8,9,10,14],[3,4,6,7,9,12,13],[3,4,8,9,11,13,14],[3,5,6,7,8,12,13],[3,5,6,8,10,11,12],[4,5,7,9,10,11,12]]; G[1197]:=Group([(1,4,8)(2,3,9)(6,14,12)(7,10,13)]); # Design 1198: autom. group order 3, simple B[1198]:=[[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],[1,2,7,8,9,11,12],[1,3,5,7,11,13,14],[1,3,7,8,10,12,14],[1,4,6,8,11,12,14],[1,4,6,9,10,12,13],[1,4,7,8,10,11,13],[1,5,6,7,9,13,14],[1,5,6,9,10,11,14],[2,3,6,9,11,12,14],[2,3,7,9,10,11,13],[2,4,5,7,10,12,14],[2,4,5,11,12,13,14],[2,4,6,7,8,13,14],[2,5,6,8,10,11,13],[2,6,7,8,9,10,14],[3,4,5,8,9,10,14],[3,4,6,7,9,12,13],[3,4,8,9,11,13,14],[3,5,6,7,8,11,12],[3,5,6,8,10,12,13],[4,5,7,9,10,11,12]]; G[1198]:=Group([(1,4,8)(2,3,9)(6,14,12)(7,10,13)]); # Design 1199: autom. group order 3, simple B[1199]:=[[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],[1,2,7,8,9,11,12],[1,3,5,7,11,13,14],[1,3,7,8,10,12,14],[1,4,6,8,11,12,14],[1,4,6,9,10,12,13],[1,4,7,8,10,11,13],[1,5,6,7,9,11,14],[1,5,6,9,10,13,14],[2,3,6,9,11,12,14],[2,3,7,9,10,11,13],[2,4,5,7,12,13,14],[2,4,5,10,11,12,14],[2,4,6,7,8,13,14],[2,5,6,8,10,11,13],[2,6,7,8,9,10,14],[3,4,5,8,9,10,14],[3,4,6,7,9,12,13],[3,4,8,9,11,13,14],[3,5,6,7,8,10,12],[3,5,6,8,11,12,13],[4,5,7,9,10,11,12]]; G[1199]:=Group([(1,4,8)(2,3,9)(6,14,12)(7,10,13)]); # Design 1200: autom. group order 3, simple, residual B[1200]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,8,12,14],[1,3,7,9,11,12,13],[1,4,6,7,11,12,14],[1,4,6,8,9,11,13],[1,4,7,8,9,10,14],[1,5,7,8,10,12,13],[1,5,9,10,11,13,14],[2,3,7,8,9,10,11],[2,3,8,9,12,13,14],[2,4,5,7,10,13,14],[2,4,5,9,11,12,14],[2,4,7,8,11,13,14],[2,5,6,7,9,12,13],[2,6,7,8,10,11,12],[3,4,5,10,11,12,13],[3,4,6,7,9,10,13],[3,4,6,8,12,13,14],[3,5,6,7,9,11,14],[3,5,6,8,10,11,14],[4,5,6,8,9,10,12]]; G[1200]:=Group([(1,11,14)(2,8,3)(4,7,12)(5,10,13)]); # Design 1201: autom. group order 3, simple B[1201]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,9,10,14],[1,3,6,9,11,12,13],[1,4,6,7,8,12,14],[1,4,6,9,11,12,14],[1,4,7,8,10,12,13],[1,5,7,10,11,13,14],[1,5,8,9,10,12,13],[2,3,7,8,9,12,13],[2,3,7,11,12,13,14],[2,4,5,7,10,11,12],[2,4,5,9,12,13,14],[2,4,6,8,10,13,14],[2,5,6,9,10,12,14],[2,6,7,8,9,10,11],[3,4,5,8,11,13,14],[3,4,6,7,9,10,13],[3,4,8,9,10,11,14],[3,5,6,7,8,12,14],[3,5,6,8,10,11,12],[4,5,6,7,9,11,13]]; G[1201]:=Group([(1,6,8)(3,10,9)(4,14,7)(5,13,11)]); # Design 1202: autom. group order 3, simple, residual B[1202]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,9,12,14],[1,3,5,11,12,13,14],[1,3,6,7,9,10,14],[1,4,6,8,10,12,14],[1,4,6,9,11,12,13],[1,4,7,8,11,13,14],[1,5,7,8,9,10,11],[1,5,7,9,10,12,13],[2,3,7,10,12,13,14],[2,3,8,9,11,12,14],[2,4,5,7,8,12,13],[2,4,5,9,10,13,14],[2,4,6,7,9,11,14],[2,5,6,9,10,11,12],[2,6,7,8,10,11,13],[3,4,5,7,10,11,14],[3,4,6,7,9,12,13],[3,4,8,9,10,11,13],[3,5,6,7,8,11,12],[3,5,6,8,9,13,14],[4,5,6,8,10,12,14]]; G[1202]:=Group([(2,9,13)(3,7,11)(4,10,14)(6,8,12)]); # Design 1203: autom. group order 3, simple B[1203]:=[[1,2,3,4,5,6,7],[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],[1,2,9,10,11,12,13],[1,3,5,8,12,13,14],[1,3,6,7,9,11,14],[1,4,6,7,11,12,14],[1,4,7,8,9,10,13],[1,4,7,8,10,13,14],[1,5,6,7,9,10,12],[1,5,8,9,11,12,14],[2,3,7,8,9,12,14],[2,3,7,8,10,11,14],[2,4,5,7,12,13,14],[2,4,5,9,10,11,14],[2,4,6,9,12,13,14],[2,5,6,7,8,10,12],[2,6,7,8,9,11,13],[3,4,5,7,9,11,13],[3,4,6,8,9,10,12],[3,4,6,8,11,12,13],[3,5,6,9,10,13,14],[3,5,7,10,11,12,13],[4,5,6,8,10,11,14]]; G[1203]:=Group([(1,7,8)(2,5,6)(3,12,11)(4,10,13)]); # Design 1204: autom. group order 3, simple, residual B[1204]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,6,8,10,13],[1,2,8,9,11,12,14],[1,3,5,11,12,13,14],[1,3,7,8,10,11,14],[1,4,6,7,9,11,14],[1,4,6,8,10,12,14],[1,4,6,9,10,12,13],[1,5,7,8,9,11,13],[1,5,7,9,10,12,13],[2,3,6,9,11,12,13],[2,3,7,8,9,10,12],[2,4,5,7,9,12,14],[2,4,5,10,11,13,14],[2,4,7,8,10,11,13],[2,5,6,9,10,11,14],[2,6,7,8,12,13,14],[3,4,5,8,12,13,14],[3,4,6,8,9,11,13],[3,4,7,9,10,13,14],[3,5,6,7,10,11,12],[3,5,6,8,9,10,14],[4,5,6,7,8,11,12]]; G[1204]:=Group([(1,2,10)(3,11,12)(5,13,6)(7,14,9)]); # Design 1205: autom. group order 3, simple, residual B[1205]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,11,12,14],[1,3,5,9,12,13,14],[1,3,7,9,10,13,14],[1,4,6,7,8,9,14],[1,4,6,7,10,12,13],[1,4,6,8,11,12,14],[1,5,7,8,10,11,13],[1,5,8,9,10,11,12],[2,3,6,9,11,12,13],[2,3,7,8,10,12,14],[2,4,5,7,9,10,11],[2,4,5,7,12,13,14],[2,4,8,9,10,13,14],[2,5,6,8,10,12,14],[2,6,7,8,9,11,13],[3,4,5,8,11,13,14],[3,4,6,9,10,11,14],[3,4,7,8,11,12,13],[3,5,6,7,8,9,12],[3,5,6,7,10,11,14],[4,5,6,9,10,12,13]]; G[1205]:=Group([(1,10,13)(3,8,6)(4,14,11)(5,12,9)]); # Design 1206: autom. group order 3, simple, residual B[1206]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,11,13,14],[1,3,5,11,12,13,14],[1,3,7,8,9,10,11],[1,4,6,8,9,11,14],[1,4,6,9,10,12,13],[1,4,7,8,11,12,13],[1,5,6,9,10,12,14],[1,5,7,8,10,12,14],[2,3,6,9,10,11,12],[2,3,7,8,10,12,14],[2,4,5,8,9,12,14],[2,4,5,10,11,13,14],[2,4,6,7,11,12,14],[2,5,8,9,10,11,13],[2,6,7,8,9,12,13],[3,4,5,7,9,12,13],[3,4,6,8,10,13,14],[3,4,7,9,10,13,14],[3,5,6,7,9,11,14],[3,5,6,8,11,12,13],[4,5,6,7,8,10,11]]; G[1206]:=Group([(1,4,14)(2,13,12)(3,10,5)(6,9,8)]); # Design 1207: autom. group order 3, simple, residual B[1207]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,11,13,14],[1,3,5,11,12,13,14],[1,3,7,8,9,11,14],[1,4,6,8,9,10,11],[1,4,6,9,11,12,13],[1,4,7,8,10,12,13],[1,5,6,9,10,12,14],[1,5,7,8,10,12,14],[2,3,6,9,10,12,14],[2,3,7,8,10,11,12],[2,4,5,8,9,12,14],[2,4,5,10,11,13,14],[2,4,6,7,11,12,14],[2,5,8,9,10,11,13],[2,6,7,8,9,12,13],[3,4,5,7,9,12,13],[3,4,6,8,10,13,14],[3,4,7,9,10,13,14],[3,5,6,7,9,10,11],[3,5,6,8,11,12,13],[4,5,6,7,8,11,14]]; G[1207]:=Group([(1,4,14)(2,13,12)(3,10,5)(6,7,9)]); # Design 1208: autom. group order 3, simple B[1208]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,11,12,13],[1,3,5,7,9,12,14],[1,3,7,8,9,10,13],[1,4,6,7,10,12,14],[1,4,6,8,9,11,12],[1,4,7,9,11,13,14],[1,5,6,8,9,10,11],[1,5,8,10,12,13,14],[2,3,6,8,9,12,14],[2,3,9,10,11,12,13],[2,4,5,7,9,10,13],[2,4,5,8,10,11,14],[2,4,6,7,8,12,13],[2,5,7,9,11,12,14],[2,6,7,8,9,10,14],[3,4,5,8,12,13,14],[3,4,6,9,11,13,14],[3,4,7,8,10,11,14],[3,5,6,7,8,11,13],[3,5,6,7,10,11,12],[4,5,6,9,10,12,13]]; G[1208]:=Group([(1,7,10)(2,5,11)(4,6,12)(8,13,9)]); # Design 1209: autom. group order 3, simple B[1209]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,11,12,13],[1,3,5,7,9,12,14],[1,3,8,10,11,12,14],[1,4,6,7,8,10,14],[1,4,6,7,9,12,13],[1,4,7,9,10,11,13],[1,5,6,8,9,11,12],[1,5,8,9,10,13,14],[2,3,6,8,9,12,13],[2,3,7,9,11,13,14],[2,4,5,7,8,11,14],[2,4,5,8,10,12,13],[2,4,6,9,10,12,14],[2,5,7,9,10,12,14],[2,6,7,8,9,10,11],[3,4,5,9,10,11,13],[3,4,6,8,9,11,14],[3,4,7,8,12,13,14],[3,5,6,7,8,10,13],[3,5,6,7,10,11,12],[4,5,6,11,12,13,14]]; G[1209]:=Group([(1,5,10)(2,7,11)(4,6,12)(9,13,14)]); # Design 1210: autom. group order 3, simple, residual B[1210]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,9,12,13],[1,3,8,10,11,12,13],[1,4,6,7,8,12,14],[1,4,6,7,9,10,13],[1,4,7,8,10,11,14],[1,5,6,9,11,12,14],[1,5,8,9,10,13,14],[2,3,6,8,9,11,14],[2,3,7,8,12,13,14],[2,4,5,7,11,13,14],[2,4,5,10,12,13,14],[2,4,6,8,9,10,12],[2,5,7,8,9,10,12],[2,6,7,9,10,11,13],[3,4,5,9,10,11,14],[3,4,6,9,12,13,14],[3,4,7,8,9,11,13],[3,5,6,7,8,10,14],[3,5,6,7,10,11,12],[4,5,6,8,11,12,13]]; G[1210]:=Group([(1,5,10)(2,7,11)(4,6,12)(9,14,13)]); # Design 1211: autom. group order 3, simple, residual B[1211]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,8,12,14],[1,3,8,10,11,12,13],[1,4,6,7,8,10,14],[1,4,6,7,9,12,13],[1,4,7,9,10,11,13],[1,5,6,9,11,12,14],[1,5,8,9,10,13,14],[2,3,6,9,12,13,14],[2,3,7,8,9,11,13],[2,4,5,7,11,13,14],[2,4,5,10,12,13,14],[2,4,6,8,9,10,12],[2,5,7,8,9,10,12],[2,6,7,8,10,11,14],[3,4,5,9,10,11,14],[3,4,6,8,9,11,14],[3,4,7,8,12,13,14],[3,5,6,7,9,10,13],[3,5,6,7,10,11,12],[4,5,6,8,11,12,13]]; G[1211]:=Group([(1,5,10)(2,7,11)(4,6,12)(8,9,13)]); # Design 1212: autom. group order 3, simple B[1212]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,12,13,14],[1,3,9,10,11,12,14],[1,4,6,7,8,12,14],[1,4,6,7,9,10,14],[1,4,7,8,10,11,13],[1,5,6,8,9,11,12],[1,5,8,9,10,13,14],[2,3,6,8,9,12,14],[2,3,7,8,11,13,14],[2,4,5,7,9,11,14],[2,4,5,9,10,12,13],[2,4,6,10,12,13,14],[2,5,7,8,10,12,14],[2,6,7,8,9,10,11],[3,4,5,8,10,11,14],[3,4,6,9,11,13,14],[3,4,7,8,9,12,13],[3,5,6,7,9,10,13],[3,5,6,7,10,11,12],[4,5,6,8,11,12,13]]; G[1212]:=Group([(1,5,10)(2,7,11)(4,6,12)(8,13,14)]); # Design 1213: autom. group order 3, simple B[1213]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,12,13,14],[1,3,5,7,11,12,14],[1,3,8,9,11,12,13],[1,4,6,7,10,12,13],[1,4,6,8,11,13,14],[1,4,7,9,10,11,14],[1,5,6,8,10,12,14],[1,5,7,8,9,10,13],[2,3,6,9,12,13,14],[2,3,7,8,10,11,14],[2,4,5,9,10,13,14],[2,4,5,10,11,12,13],[2,4,6,7,8,12,14],[2,5,7,8,11,12,13],[2,6,7,8,9,10,11],[3,4,5,7,8,13,14],[3,4,6,7,9,11,13],[3,4,8,9,10,12,14],[3,5,6,7,9,10,12],[3,5,6,10,11,13,14],[4,5,6,8,9,11,12]]; G[1213]:=Group([(1,8,14)(3,7,9)(4,11,13)(5,10,12)]); # Design 1214: autom. group order 3, simple, residual B[1214]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,11,13,14],[1,3,5,11,12,13,14],[1,3,7,8,9,10,11],[1,4,6,7,8,11,14],[1,4,6,7,10,12,13],[1,4,8,9,11,12,13],[1,5,6,8,10,12,14],[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],[2,4,5,10,11,13,14],[2,4,6,9,11,12,14],[2,5,7,8,10,11,13],[2,6,7,8,9,12,13],[3,4,5,7,9,12,13],[3,4,6,9,10,13,14],[3,4,7,8,10,13,14],[3,5,6,7,9,11,14],[3,5,6,8,11,12,13],[4,5,6,8,9,10,11]]; G[1214]:=Group([(1,4,14)(2,13,12)(3,10,5)(6,7,8)]); # Design 1215: autom. group order 3, simple, residual B[1215]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,11,13,14],[1,3,5,11,12,13,14],[1,3,7,8,9,11,14],[1,4,6,7,8,10,11],[1,4,6,7,11,12,13],[1,4,8,9,10,12,13],[1,5,6,8,10,12,14],[1,5,7,9,10,12,14],[2,3,6,7,10,12,14],[2,3,8,9,10,11,12],[2,4,5,7,8,12,14],[2,4,5,10,11,13,14],[2,4,6,9,11,12,14],[2,5,7,8,10,11,13],[2,6,7,8,9,12,13],[3,4,5,7,9,12,13],[3,4,6,9,10,13,14],[3,4,7,8,10,13,14],[3,5,6,7,9,10,11],[3,5,6,8,11,12,13],[4,5,6,8,9,11,14]]; G[1215]:=Group([(1,4,14)(2,13,12)(3,10,5)(6,9,7)]); # Design 1216: autom. group order 3, simple, residual B[1216]:=[[1,2,3,4,5,6,7],[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],[1,4,6,7,8,12,14],[1,4,6,7,10,11,12],[1,4,8,9,10,11,14],[1,5,6,8,9,10,14],[1,5,7,9,11,12,13],[2,3,6,9,11,12,14],[2,3,7,8,9,10,12],[2,4,5,7,9,11,14],[2,4,5,7,10,13,14],[2,4,6,9,12,13,14],[2,5,8,10,11,12,14],[2,6,7,8,10,11,13],[3,4,5,8,10,12,13],[3,4,6,8,9,11,13],[3,4,7,8,11,13,14],[3,5,6,7,8,12,14],[3,5,6,7,9,10,11],[4,5,6,9,10,12,13]]; G[1216]:=Group([(1,4,13)(2,8,14)(5,11,10)(6,9,7)]); # Design 1217: autom. group order 3, simple, residual B[1217]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,12,13,14],[1,3,7,8,10,11,13],[1,4,6,7,9,13,14],[1,4,6,7,11,12,14],[1,4,8,9,11,12,13],[1,5,6,9,10,11,12],[1,5,7,8,10,12,14],[2,3,6,9,11,12,14],[2,3,7,8,11,12,14],[2,4,5,7,9,10,12],[2,4,5,7,11,13,14],[2,4,6,8,10,12,13],[2,5,9,10,11,13,14],[2,6,7,8,9,12,13],[3,4,5,8,12,13,14],[3,4,6,8,9,10,14],[3,4,7,9,10,11,13],[3,5,6,7,8,9,11],[3,5,6,7,10,12,13],[4,5,6,8,10,11,14]]; G[1217]:=Group([(1,6,10)(2,13,3)(4,8,7)(5,12,11)]); # Design 1218: autom. group order 3, simple, residual B[1218]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,11,12,14],[1,3,5,9,11,12,13],[1,3,7,8,10,11,14],[1,4,6,7,8,9,12],[1,4,6,7,11,13,14],[1,4,8,9,10,13,14],[1,5,6,8,10,12,14],[1,5,7,9,10,12,13],[2,3,6,9,12,13,14],[2,3,7,8,9,13,14],[2,4,5,7,9,10,14],[2,4,5,8,11,12,14],[2,4,6,7,10,12,13],[2,5,7,8,10,11,13],[2,6,8,9,10,11,12],[3,4,5,10,12,13,14],[3,4,6,9,10,11,14],[3,4,7,8,11,12,13],[3,5,6,7,8,12,14],[3,5,6,7,9,10,11],[4,5,6,8,9,11,13]]; G[1218]:=Group([(1,9,14)(2,11,12)(3,6,5)(4,10,8)]); # Design 1219: autom. group order 3, simple, residual B[1219]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,10,11,14],[1,3,5,11,12,13,14],[1,3,7,9,10,12,13],[1,4,6,7,9,11,13],[1,4,6,9,10,12,14],[1,4,7,8,12,13,14],[1,5,6,7,8,11,12],[1,5,8,9,10,11,14],[2,3,6,7,11,12,14],[2,3,8,9,12,13,14],[2,4,5,7,9,12,14],[2,4,5,10,11,12,13],[2,4,6,8,11,13,14],[2,5,7,9,10,11,13],[2,6,7,8,9,10,12],[3,4,5,7,8,10,14],[3,4,6,9,10,11,14],[3,4,7,8,9,11,13],[3,5,6,7,10,13,14],[3,5,6,8,9,11,12],[4,5,6,8,10,12,13]]; G[1219]:=Group([(1,6,7)(2,12,13)(3,8,9)(4,5,11)]); # Design 1220: autom. group order 3, simple, residual B[1220]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,12,13,14],[1,3,7,9,10,11,13],[1,4,6,7,9,13,14],[1,4,6,9,11,12,14],[1,4,7,8,11,12,13],[1,5,6,7,10,11,12],[1,5,8,9,10,12,14],[2,3,6,9,11,12,14],[2,3,7,8,11,12,14],[2,4,5,7,9,10,12],[2,4,5,10,11,13,14],[2,4,6,8,9,12,13],[2,5,7,9,11,13,14],[2,6,7,8,10,12,13],[3,4,5,7,12,13,14],[3,4,6,7,8,10,14],[3,4,8,9,10,11,13],[3,5,6,7,8,9,11],[3,5,6,9,10,12,13],[4,5,6,8,10,11,14]]; G[1220]:=Group([(1,6,10)(2,13,3)(4,8,9)(5,12,11)]); # Design 1221: autom. group order 3, simple, residual B[1221]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,11,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,6,7,10,12,14],[1,4,6,9,10,11,13],[1,4,7,8,11,13,14],[1,5,6,7,8,9,12],[1,5,8,9,10,13,14],[2,3,6,9,12,13,14],[2,3,7,8,10,11,14],[2,4,5,7,9,11,13],[2,4,5,9,10,12,14],[2,4,6,8,12,13,14],[2,5,7,8,10,12,13],[2,6,7,8,9,10,11],[3,4,5,7,10,13,14],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,7,11,12,13],[3,5,6,9,10,11,14],[4,5,6,8,10,11,12]]; G[1221]:=Group([(1,10,13)(3,8,6)(4,7,14)(5,11,12)]); # Design 1222: autom. group order 3, simple, residual B[1222]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,9,12,13],[1,3,5,10,12,13,14],[1,3,7,9,10,11,14],[1,4,6,7,8,12,14],[1,4,6,9,11,12,13],[1,4,7,8,11,13,14],[1,5,6,7,9,10,14],[1,5,8,9,10,11,12],[2,3,6,9,11,12,14],[2,3,7,8,11,12,14],[2,4,5,7,10,12,14],[2,4,5,9,11,13,14],[2,4,6,8,9,10,14],[2,5,7,8,10,11,13],[2,6,7,9,10,12,13],[3,4,5,7,9,12,13],[3,4,6,7,10,11,13],[3,4,8,9,10,13,14],[3,5,6,7,8,9,11],[3,5,6,8,12,13,14],[4,5,6,8,10,11,12]]; G[1222]:=Group([(1,8,9)(2,5,12)(3,11,13)(4,10,7)]); # Design 1223: autom. group order 3, simple, residual B[1223]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,11,12,14],[1,3,5,11,12,13,14],[1,3,7,9,10,11,13],[1,4,6,7,10,12,14],[1,4,6,9,10,11,14],[1,4,7,8,9,12,13],[1,5,6,8,9,11,12],[1,5,7,8,10,13,14],[2,3,6,7,11,13,14],[2,3,8,9,10,12,14],[2,4,5,7,9,11,14],[2,4,5,10,11,12,13],[2,4,6,8,12,13,14],[2,5,7,9,10,12,13],[2,6,7,8,9,10,11],[3,4,5,7,8,10,14],[3,4,6,7,9,12,13],[3,4,8,9,11,13,14],[3,5,6,7,8,11,12],[3,5,6,9,10,12,14],[4,5,6,8,10,11,13]]; G[1223]:=Group([(1,8,9)(2,11,13)(3,6,7)(4,5,12)]); # Design 1224: autom. group order 3, simple, residual B[1224]:=[[1,2,3,4,5,6,7],[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],[1,4,6,7,10,12,14],[1,4,6,9,10,11,14],[1,4,7,8,9,12,13],[1,5,6,8,9,11,12],[1,5,7,8,10,13,14],[2,3,6,7,10,11,13],[2,3,8,9,10,12,14],[2,4,5,7,9,11,14],[2,4,5,11,12,13,14],[2,4,6,8,12,13,14],[2,5,7,9,10,12,13],[2,6,7,8,9,11,14],[3,4,5,7,8,10,14],[3,4,6,7,9,12,13],[3,4,8,9,10,11,13],[3,5,6,7,8,11,12],[3,5,6,9,10,12,14],[4,5,6,8,10,11,13]]; G[1224]:=Group([(1,8,9)(2,11,13)(3,6,7)(4,5,12)]); # Design 1225: autom. group order 3, simple, residual B[1225]:=[[1,2,3,4,5,6,7],[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],[1,2,9,10,11,13,14],[1,3,5,7,12,13,14],[1,3,7,9,10,12,14],[1,4,6,7,9,10,14],[1,4,6,8,12,13,14],[1,4,7,8,10,11,13],[1,5,6,8,9,11,12],[1,5,7,8,9,11,13],[2,3,6,9,11,13,14],[2,3,7,8,9,12,13],[2,4,5,7,11,13,14],[2,4,5,9,10,12,13],[2,4,6,7,8,9,14],[2,5,7,8,10,12,14],[2,6,7,8,10,11,12],[3,4,5,8,10,11,14],[3,4,6,7,11,12,13],[3,4,8,9,11,12,14],[3,5,6,7,9,10,11],[3,5,6,8,10,13,14],[4,5,6,9,10,12,13]]; G[1225]:=Group([(1,8,14)(3,7,11)(4,12,13)(5,10,9)]); # Design 1226: autom. group order 3, simple, residual B[1226]:=[[1,2,3,4,5,6,7],[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],[1,2,9,10,11,13,14],[1,3,5,7,12,13,14],[1,3,7,9,10,12,14],[1,4,6,7,9,11,12],[1,4,6,8,12,13,14],[1,4,7,8,10,11,13],[1,5,6,8,9,10,14],[1,5,7,8,9,11,13],[2,3,6,9,11,13,14],[2,3,7,8,9,12,13],[2,4,5,7,11,13,14],[2,4,5,9,10,12,13],[2,4,6,7,8,9,14],[2,5,7,8,10,12,14],[2,6,7,8,10,11,12],[3,4,5,8,10,11,14],[3,4,6,7,10,13,14],[3,4,8,9,11,12,14],[3,5,6,7,9,10,11],[3,5,6,8,11,12,13],[4,5,6,9,10,12,13]]; G[1226]:=Group([(1,8,14)(3,7,11)(4,12,13)(5,10,9)]); # Design 1227: autom. group order 3, simple, residual B[1227]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,10,11,14],[1,3,5,7,11,13,14],[1,3,9,11,12,13,14],[1,4,6,7,9,12,14],[1,4,6,8,10,11,14],[1,4,7,8,9,12,13],[1,5,6,9,10,11,12],[1,5,7,8,10,12,13],[2,3,6,7,9,11,12],[2,3,8,9,10,12,14],[2,4,5,7,10,12,14],[2,4,5,11,12,13,14],[2,4,7,8,9,11,13],[2,5,6,8,11,12,13],[2,6,7,9,10,13,14],[3,4,5,9,10,13,14],[3,4,6,7,10,11,13],[3,4,6,8,10,12,13],[3,5,6,7,8,12,14],[3,5,7,8,9,10,11],[4,5,6,8,9,11,14]]; G[1227]:=Group([(1,4,13)(2,10,14)(5,6,11)(8,12,9)]); # Design 1228: autom. group order 3, simple B[1228]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,9,13,14],[1,3,8,9,10,12,14],[1,4,6,7,9,11,14],[1,4,6,9,10,13,14],[1,4,7,8,11,12,13],[1,5,6,8,9,11,12],[1,5,7,8,10,12,13],[2,3,6,7,8,9,12],[2,3,8,9,11,13,14],[2,4,5,8,11,13,14],[2,4,5,9,10,12,13],[2,4,7,9,10,12,14],[2,5,6,7,8,10,14],[2,6,7,9,11,12,13],[3,4,5,7,11,12,14],[3,4,6,7,8,10,13],[3,4,6,8,12,13,14],[3,5,6,10,11,12,14],[3,5,7,9,10,11,13],[4,5,6,8,9,10,11]]; G[1228]:=Group([(1,12,14)(3,9,8)(4,7,11)(5,6,13)]); # Design 1229: autom. group order 3, simple, residual B[1229]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,11,12,14],[1,3,7,8,11,12,14],[1,4,6,8,9,12,13],[1,4,6,10,12,13,14],[1,4,7,8,9,11,13],[1,5,6,7,9,10,14],[1,5,7,8,10,11,13],[2,3,6,7,9,12,13],[2,3,7,8,10,13,14],[2,4,5,7,8,10,12],[2,4,5,11,12,13,14],[2,4,7,9,11,13,14],[2,5,6,8,9,11,14],[2,6,8,9,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,9,10,11],[3,4,6,8,10,11,14],[3,5,6,7,11,12,13],[3,5,8,9,10,12,13],[4,5,6,7,8,12,14]]; G[1229]:=Group([(1,4,11)(2,10,12)(5,6,14)(7,8,9)]); # Design 1230: autom. group order 3, simple, residual B[1230]:=[[1,2,3,4,5,6,7],[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],[1,2,8,10,11,12,14],[1,3,5,7,11,13,14],[1,3,7,8,9,11,12],[1,4,6,7,9,11,14],[1,4,6,9,10,12,13],[1,4,7,8,10,13,14],[1,5,6,7,9,10,12],[1,5,8,9,12,13,14],[2,3,6,9,12,13,14],[2,3,7,8,9,10,14],[2,4,5,7,12,13,14],[2,4,5,9,11,12,14],[2,4,7,9,10,11,13],[2,5,6,7,8,10,12],[2,6,7,8,9,11,13],[3,4,5,8,9,10,13],[3,4,6,7,8,12,14],[3,4,6,8,11,12,13],[3,5,6,9,10,11,14],[3,5,7,10,11,12,13],[4,5,6,8,10,11,14]]; G[1230]:=Group([(1,7,8)(2,5,6)(3,12,11)(4,10,13)]); # Design 1231: autom. group order 3, simple B[1231]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,10,12,14],[1,3,7,8,9,12,13],[1,4,6,7,9,11,12],[1,4,6,8,9,13,14],[1,4,7,10,11,13,14],[1,5,6,7,8,11,14],[1,5,7,9,10,12,14],[2,3,7,8,11,12,14],[2,3,7,9,11,13,14],[2,4,5,7,12,13,14],[2,4,5,8,9,11,14],[2,4,6,9,10,12,14],[2,5,6,7,8,10,13],[2,6,7,8,9,10,12],[3,4,5,7,9,10,13],[3,4,6,7,8,10,11],[3,4,6,8,12,13,14],[3,5,6,9,10,11,14],[3,5,6,9,11,12,13],[4,5,8,10,11,12,13]]; G[1231]:=Group([(1,7,13)(2,6,5)(3,8,12)(4,10,11)]); # Design 1232: autom. group order 3, simple, residual B[1232]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,6,8,10,13],[1,2,8,9,10,11,14],[1,3,5,9,11,12,13],[1,3,7,8,11,12,14],[1,4,6,8,9,12,14],[1,4,7,8,10,12,13],[1,4,7,9,10,13,14],[1,5,6,7,10,11,14],[1,5,6,9,11,12,13],[2,3,6,9,10,12,14],[2,3,7,9,10,12,13],[2,4,5,7,11,12,14],[2,4,5,8,12,13,14],[2,4,6,9,11,13,14],[2,5,7,8,9,10,11],[2,6,7,8,11,12,13],[3,4,5,10,11,13,14],[3,4,6,7,8,9,11],[3,4,6,8,10,11,13],[3,5,6,8,10,12,14],[3,5,7,8,9,13,14],[4,5,6,7,9,10,12]]; G[1232]:=Group([(1,11,12)(2,4,10)(5,13,9)(7,8,14)]); # Design 1233: autom. group order 3, simple, residual B[1233]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,6,7,13,14],[1,2,8,9,11,13,14],[1,3,5,11,12,13,14],[1,3,7,9,10,11,13],[1,4,6,7,10,11,14],[1,4,7,8,9,12,13],[1,4,7,8,10,12,14],[1,5,6,8,9,11,12],[1,5,6,9,10,12,14],[2,3,6,9,10,12,14],[2,3,7,8,11,12,14],[2,4,5,7,9,11,14],[2,4,5,10,11,12,13],[2,4,6,8,12,13,14],[2,5,7,9,10,12,13],[2,6,7,8,9,10,11],[3,4,5,8,9,10,14],[3,4,6,7,9,12,13],[3,4,6,9,11,13,14],[3,5,6,7,8,11,12],[3,5,7,8,10,13,14],[4,5,6,8,10,11,13]]; G[1233]:=Group([(1,8,9)(2,11,13)(3,6,7)(4,5,12)]); # Design 1234: autom. group order 3, simple, residual B[1234]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,10,12,14],[1,3,5,8,10,12,14],[1,3,7,9,11,12,13],[1,4,6,7,8,9,12],[1,4,7,8,10,13,14],[1,4,8,9,11,13,14],[1,5,6,7,11,12,14],[1,5,6,9,10,11,13],[2,3,6,7,9,13,14],[2,3,7,8,11,12,13],[2,4,5,7,9,11,14],[2,4,5,9,10,12,13],[2,4,6,8,12,13,14],[2,5,7,8,10,11,14],[2,6,8,9,10,11,12],[3,4,5,11,12,13,14],[3,4,6,7,8,10,11],[3,4,6,9,10,11,14],[3,5,6,8,9,12,14],[3,5,7,8,9,10,13],[4,5,6,7,10,12,13]]; G[1234]:=Group([(1,2,6)(3,13,5)(4,14,11)(7,10,8)]); # Design 1235: autom. group order 3, simple, residual B[1235]:=[[1,2,3,4,5,6,7],[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],[1,2,7,10,11,12,14],[1,3,5,9,11,12,14],[1,3,7,8,9,12,13],[1,4,6,7,9,10,14],[1,4,7,8,11,13,14],[1,4,8,9,10,12,13],[1,5,6,7,8,12,14],[1,5,6,9,10,11,13],[2,3,6,9,12,13,14],[2,3,7,8,9,11,14],[2,4,5,7,11,12,13],[2,4,5,8,9,10,14],[2,4,6,7,9,12,13],[2,5,8,10,12,13,14],[2,6,7,8,9,10,11],[3,4,5,7,10,13,14],[3,4,6,8,10,11,12],[3,4,6,8,11,13,14],[3,5,6,7,8,10,12],[3,5,7,9,10,11,13],[4,5,6,9,11,12,14]]; G[1235]:=Group([(1,7,14)(2,5,13)(4,10,6)(8,11,12)]); # Design 1236: autom. group order 3, simple B[1236]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,11,12,14],[1,3,7,8,9,11,13],[1,4,6,7,10,11,14],[1,4,7,8,9,13,14],[1,4,9,10,11,12,13],[1,5,6,7,9,12,14],[1,5,6,8,10,12,13],[2,3,6,9,12,13,14],[2,3,7,8,11,12,14],[2,4,5,7,11,12,13],[2,4,5,8,9,10,14],[2,4,6,7,9,12,13],[2,5,9,10,11,13,14],[2,6,7,8,9,10,11],[3,4,5,7,10,13,14],[3,4,6,8,9,10,12],[3,4,6,8,11,13,14],[3,5,6,7,9,10,11],[3,5,7,8,10,12,13],[4,5,6,8,11,12,14]]; G[1236]:=Group([(1,7,14)(2,5,13)(4,10,6)(8,12,9)]); # Design 1237: autom. group order 3, simple, residual B[1237]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,11,12,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,6,9,10,12,14],[1,4,7,8,10,11,13],[1,4,8,9,11,13,14],[1,5,6,7,8,9,12],[1,5,6,7,10,13,14],[2,3,6,9,10,11,14],[2,3,7,8,9,13,14],[2,4,5,7,9,10,14],[2,4,5,7,11,12,13],[2,4,6,8,12,13,14],[2,5,8,9,10,12,13],[2,6,7,8,10,11,12],[3,4,5,10,12,13,14],[3,4,6,7,8,12,14],[3,4,6,7,9,11,13],[3,5,6,9,11,12,13],[3,5,7,8,10,11,14],[4,5,6,8,9,10,11]]; G[1237]:=Group([(1,11,14)(2,9,12)(3,6,4)(5,13,8)]); # Design 1238: autom. group order 3, simple, residual B[1238]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,11,13,14],[1,3,5,8,11,13,14],[1,3,7,9,10,12,14],[1,4,6,9,10,12,13],[1,4,7,8,10,11,13],[1,4,8,9,11,12,14],[1,5,6,7,8,9,12],[1,5,6,7,10,13,14],[2,3,6,9,10,11,14],[2,3,7,8,12,13,14],[2,4,5,7,9,10,14],[2,4,5,7,11,12,13],[2,4,6,8,9,13,14],[2,5,8,9,10,12,13],[2,6,7,8,10,11,12],[3,4,5,10,12,13,14],[3,4,6,7,8,12,14],[3,4,6,7,9,11,13],[3,5,6,9,11,12,13],[3,5,7,8,9,10,11],[4,5,6,8,10,11,14]]; G[1238]:=Group([(1,11,14)(2,9,12)(4,6,7)(5,13,8)]); # Design 1239: autom. group order 3, simple, residual B[1239]:=[[1,2,3,4,5,6,7],[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],[1,3,7,9,10,13,14],[1,4,6,9,11,12,13],[1,4,7,8,11,12,13],[1,4,8,9,10,11,14],[1,5,6,7,8,9,12],[1,5,6,7,10,11,14],[2,3,6,8,11,12,14],[2,3,7,9,11,12,14],[2,4,5,7,9,10,11],[2,4,5,7,12,13,14],[2,4,6,9,10,13,14],[2,5,8,9,10,12,13],[2,6,7,8,9,11,13],[3,4,5,8,11,13,14],[3,4,6,7,8,9,14],[3,4,6,7,10,12,13],[3,5,6,9,10,11,12],[3,5,7,8,10,11,13],[4,5,6,8,10,12,14]]; G[1239]:=Group([(1,3,11)(2,12,4)(5,14,13)(6,9,8)]); # Design 1240: autom. group order 3, simple, residual B[1240]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,9,13,14],[1,3,7,9,11,12,13],[1,4,6,9,10,12,13],[1,4,7,8,10,13,14],[1,4,8,9,11,12,14],[1,5,6,7,8,12,14],[1,5,6,7,10,11,13],[2,3,6,9,11,13,14],[2,3,7,8,10,12,14],[2,4,5,7,9,12,13],[2,4,5,10,12,13,14],[2,4,6,8,11,13,14],[2,5,7,8,9,10,11],[2,6,7,8,9,12,13],[3,4,5,7,11,13,14],[3,4,6,7,8,11,12],[3,4,6,7,9,10,14],[3,5,6,9,10,12,14],[3,5,8,10,11,12,13],[4,5,6,8,9,10,11]]; G[1240]:=Group([(1,10,13)(2,5,9)(3,11,12)(4,8,7)]); # Design 1241: autom. group order 3, simple, residual B[1241]:=[[1,2,3,4,5,6,7],[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],[1,2,8,9,10,11,14],[1,3,5,7,8,11,14],[1,3,7,9,11,12,13],[1,4,6,7,8,9,10],[1,4,7,9,11,13,14],[1,4,8,10,12,13,14],[1,5,6,7,10,12,14],[1,5,6,8,9,12,13],[2,3,6,8,9,13,14],[2,3,7,8,10,12,13],[2,4,5,7,9,10,13],[2,4,5,8,11,12,14],[2,4,6,7,11,13,14],[2,5,7,9,10,12,14],[2,6,7,8,9,11,12],[3,4,5,9,12,13,14],[3,4,6,7,8,12,14],[3,4,6,9,10,11,12],[3,5,6,9,10,11,14],[3,5,7,8,10,11,13],[4,5,6,8,10,11,13]]; G[1241]:=Group([(1,2,6)(3,13,5)(4,14,12)(7,10,11)]); # Design 1242: autom. group order 3, simple, residual B[1242]:=[[1,2,3,4,5,6,7],[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],[1,2,8,9,10,11,14],[1,3,5,7,8,11,14],[1,3,7,9,11,12,13],[1,4,6,7,8,9,10],[1,4,7,8,11,13,14],[1,4,9,10,12,13,14],[1,5,6,7,10,12,14],[1,5,6,8,9,12,13],[2,3,6,8,9,13,14],[2,3,7,8,10,12,13],[2,4,5,7,9,10,13],[2,4,5,9,11,12,14],[2,4,6,7,11,13,14],[2,5,7,8,10,12,14],[2,6,7,8,9,11,12],[3,4,5,8,12,13,14],[3,4,6,7,9,12,14],[3,4,6,8,10,11,12],[3,5,6,9,10,11,14],[3,5,7,9,10,11,13],[4,5,6,8,10,11,13]]; G[1242]:=Group([(1,2,6)(3,13,5)(4,14,12)(7,10,11)]); # Design 1243: autom. group order 3, simple, residual B[1243]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,12,13,14],[1,3,7,9,10,13,14],[1,4,6,8,11,12,13],[1,4,7,8,10,11,14],[1,4,7,9,11,12,13],[1,5,6,7,8,9,12],[1,5,6,9,10,11,14],[2,3,6,9,11,12,14],[2,3,7,8,11,12,14],[2,4,5,7,9,10,11],[2,4,5,9,12,13,14],[2,4,6,7,10,13,14],[2,5,7,8,10,12,13],[2,6,7,8,9,11,13],[3,4,5,8,11,13,14],[3,4,6,7,8,9,14],[3,4,6,9,10,12,13],[3,5,6,7,10,11,12],[3,5,8,9,10,11,13],[4,5,6,8,10,12,14]]; G[1243]:=Group([(1,3,11)(2,12,4)(5,14,13)(6,7,8)]); # Design 1244: autom. group order 3, simple B[1244]:=[[1,2,3,4,5,6,7],[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],[1,2,8,9,10,12,14],[1,3,5,7,8,12,14],[1,3,8,9,11,12,13],[1,4,6,7,9,10,12],[1,4,7,8,10,13,14],[1,4,7,9,11,13,14],[1,5,6,7,11,12,14],[1,5,6,9,10,11,13],[2,3,6,7,9,13,14],[2,3,7,10,11,12,13],[2,4,5,7,9,12,13],[2,4,5,9,10,11,14],[2,4,6,8,12,13,14],[2,5,7,8,10,11,14],[2,6,7,8,9,11,12],[3,4,5,11,12,13,14],[3,4,6,7,8,10,11],[3,4,6,8,9,11,14],[3,5,6,9,10,12,14],[3,5,7,8,9,10,13],[4,5,6,8,10,12,13]]; G[1244]:=Group([(1,2,6)(3,13,5)(4,14,11)(7,10,8)]); # Design 1245: autom. group order 3, simple, residual B[1245]:=[[1,2,3,4,5,6,7],[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],[1,2,9,11,12,13,14],[1,3,5,8,11,12,14],[1,3,7,9,10,12,13],[1,4,6,8,9,12,13],[1,4,7,8,9,10,14],[1,4,7,8,11,13,14],[1,5,6,7,9,10,11],[1,5,6,7,10,12,14],[2,3,6,7,9,13,14],[2,3,7,8,10,11,14],[2,4,5,7,9,11,12],[2,4,5,9,10,13,14],[2,4,6,7,8,12,14],[2,5,7,8,10,12,13],[2,6,8,9,10,11,12],[3,4,5,10,12,13,14],[3,4,6,7,11,12,13],[3,4,6,9,10,11,14],[3,5,6,8,9,12,14],[3,5,7,8,9,11,13],[4,5,6,8,10,11,13]]; G[1245]:=Group([(1,5,14)(2,10,8)(3,13,7)(6,12,11)]); # Design 1246: autom. group order 3, simple, residual B[1246]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,12,13,14],[1,3,5,6,9,11,14],[1,3,7,8,9,12,13],[1,4,6,8,9,10,13],[1,4,6,8,10,11,12],[1,4,9,11,12,13,14],[1,5,7,8,10,12,14],[1,5,7,9,10,11,14],[2,3,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,8,9,12,14],[2,4,5,10,11,13,14],[2,4,6,7,9,12,14],[2,5,6,8,11,12,13],[2,6,7,8,9,10,11],[3,4,5,7,10,12,13],[3,4,6,7,8,11,14],[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[1246]:=Group([(1,9,12)(2,10,5)(3,7,8)(4,11,14)]); # Design 1247: autom. group order 3, simple B[1247]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,12,13],[1,3,5,6,10,12,14],[1,3,7,9,11,12,14],[1,4,6,8,9,11,14],[1,4,6,8,10,11,13],[1,4,9,10,12,13,14],[1,5,7,8,9,10,13],[1,5,7,8,11,12,14],[2,3,7,8,9,10,14],[2,3,8,9,11,12,13],[2,4,5,8,10,12,14],[2,4,5,9,11,13,14],[2,4,6,7,12,13,14],[2,5,6,9,10,11,12],[2,6,7,8,10,11,14],[3,4,5,7,11,13,14],[3,4,6,7,9,10,11],[3,4,7,8,10,12,13],[3,5,6,8,11,12,13],[3,5,6,9,10,13,14],[4,5,6,7,8,9,12]]; G[1247]:=Group([(1,13,14)(2,3,8)(4,12,10)(5,11,7)]); # Design 1248: autom. group order 3, simple, residual B[1248]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,10,14],[1,3,5,6,11,13,14],[1,3,7,8,9,12,14],[1,4,6,8,10,12,14],[1,4,6,9,11,12,13],[1,4,7,8,11,13,14],[1,5,7,8,9,10,11],[1,5,7,9,10,12,13],[2,3,7,8,12,13,14],[2,3,9,10,11,12,14],[2,4,5,7,10,11,14],[2,4,5,8,9,12,13],[2,4,6,7,9,13,14],[2,5,6,7,8,11,12],[2,6,8,9,10,11,13],[3,4,5,9,10,13,14],[3,4,6,7,9,11,12],[3,4,7,8,10,11,13],[3,5,6,7,10,12,13],[3,5,6,8,9,11,14],[4,5,6,8,10,12,14]]; G[1248]:=Group([(2,7,11)(3,9,13)(4,10,14)(6,8,12)]); # Design 1249: autom. group order 3, simple, residual B[1249]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,10,14],[1,3,5,6,11,13,14],[1,3,7,8,9,12,14],[1,4,6,8,10,12,14],[1,4,6,9,11,12,13],[1,4,7,8,11,13,14],[1,5,7,8,9,10,11],[1,5,7,9,10,12,13],[2,3,7,8,12,13,14],[2,3,9,10,11,12,14],[2,4,5,7,10,12,13],[2,4,5,8,9,11,14],[2,4,6,7,9,13,14],[2,5,6,7,8,11,12],[2,6,8,9,10,11,13],[3,4,5,9,10,13,14],[3,4,6,7,9,11,12],[3,4,7,8,10,11,13],[3,5,6,7,10,11,14],[3,5,6,8,9,12,13],[4,5,6,8,10,12,14]]; G[1249]:=Group([(2,7,11)(3,9,13)(4,10,14)(6,8,12)]); # Design 1250: autom. group order 3, simple B[1250]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,6,11,12,14],[1,3,7,8,9,11,13],[1,4,6,8,9,13,14],[1,4,7,10,11,12,13],[1,4,8,9,10,12,14],[1,5,6,7,8,10,12],[1,5,7,9,10,11,14],[2,3,7,8,9,11,12],[2,3,9,10,12,13,14],[2,4,5,7,12,13,14],[2,4,5,8,10,11,13],[2,4,6,7,9,11,14],[2,5,6,8,9,10,12],[2,6,7,8,10,11,14],[3,4,5,7,9,10,14],[3,4,6,7,8,10,13],[3,4,6,8,11,12,14],[3,5,6,9,10,11,13],[3,5,7,8,12,13,14],[4,5,6,9,11,12,13]]; G[1250]:=Group([(2,9,12)(3,8,10)(5,14,11)(6,13,7)]); # Design 1251: autom. group order 3, simple, residual B[1251]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,6,11,12,14],[1,3,7,8,9,11,13],[1,4,6,8,9,13,14],[1,4,7,10,11,12,13],[1,4,8,9,10,12,14],[1,5,6,7,8,10,12],[1,5,7,9,10,11,14],[2,3,7,8,9,10,11],[2,3,8,10,12,13,14],[2,4,5,7,8,12,13],[2,4,5,9,11,12,14],[2,4,6,7,9,10,14],[2,5,6,9,10,11,13],[2,6,7,8,11,12,14],[3,4,5,7,10,13,14],[3,4,6,7,8,11,14],[3,4,6,9,11,12,13],[3,5,6,8,9,10,12],[3,5,7,9,12,13,14],[4,5,6,8,10,11,13]]; G[1251]:=Group([(2,9,12)(3,8,10)(5,14,11)(6,13,7)]); # Design 1252: autom. group order 3, simple, residual B[1252]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,11,12,13],[1,3,6,9,11,13,14],[1,4,6,8,10,12,13],[1,4,6,9,10,12,14],[1,4,7,8,9,11,14],[1,5,7,8,10,12,14],[1,5,8,9,11,12,13],[2,3,7,8,9,12,14],[2,3,9,10,12,13,14],[2,4,5,6,11,12,14],[2,4,5,8,9,10,13],[2,4,7,9,11,12,13],[2,5,6,8,11,12,14],[2,6,7,8,10,11,13],[3,4,5,10,11,13,14],[3,4,6,7,8,12,13],[3,4,7,8,10,11,14],[3,5,6,7,9,10,12],[3,5,6,8,9,10,11],[4,5,6,7,9,13,14]]; G[1252]:=Group([(1,3,10)(2,11,12)(5,14,6)(7,13,9)]); # Design 1253: autom. group order 3, simple, residual B[1253]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,12,13,14],[1,3,5,9,11,13,14],[1,3,6,7,8,9,12],[1,4,6,8,9,10,13],[1,4,6,9,11,12,14],[1,4,8,10,11,12,13],[1,5,7,8,10,12,14],[1,5,7,9,10,11,14],[2,3,7,9,10,11,12],[2,3,8,9,10,13,14],[2,4,5,6,10,11,14],[2,4,5,8,9,12,14],[2,4,7,9,12,13,14],[2,5,6,8,11,12,13],[2,6,7,8,9,10,11],[3,4,5,7,10,12,13],[3,4,6,7,8,11,14],[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[1253]:=Group([(1,9,12)(2,10,5)(3,7,8)(4,11,14)]); # Design 1254: autom. group order 3, simple, residual B[1254]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,8,9,14],[1,3,5,8,10,12,14],[1,3,6,9,12,13,14],[1,4,6,7,9,11,12],[1,4,6,8,11,13,14],[1,4,7,8,10,12,14],[1,5,7,9,11,12,13],[1,5,8,9,10,11,13],[2,3,7,8,9,11,14],[2,3,7,8,11,12,13],[2,4,5,6,12,13,14],[2,4,5,8,9,12,13],[2,4,9,10,11,12,14],[2,5,6,9,10,11,14],[2,6,7,8,10,12,13],[3,4,5,7,11,13,14],[3,4,6,8,9,10,13],[3,4,7,9,10,13,14],[3,5,6,7,9,10,12],[3,5,6,8,11,12,14],[4,5,6,7,8,10,11]]; G[1254]:=Group([(1,13,14)(3,12,9)(4,8,11)(5,7,10)]); # Design 1255: autom. group order 3, simple, residual B[1255]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,10,12,13],[1,3,6,7,8,12,14],[1,4,6,7,9,10,14],[1,4,6,8,11,12,13],[1,4,7,8,9,10,11],[1,5,7,10,11,12,14],[1,5,8,9,12,13,14],[2,3,7,8,10,12,13],[2,3,7,9,11,12,14],[2,4,5,6,8,12,14],[2,4,5,10,11,13,14],[2,4,8,9,10,12,14],[2,5,6,7,9,11,12],[2,6,7,8,9,10,13],[3,4,5,7,9,13,14],[3,4,6,9,11,12,13],[3,4,7,8,11,13,14],[3,5,6,8,9,10,11],[3,5,6,8,10,11,14],[4,5,6,7,10,12,13]]; G[1255]:=Group([(1,7,12)(2,13,4)(3,8,6)(5,10,11)]); # Design 1256: autom. group order 3, simple, residual B[1256]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,10,12,13,14],[1,3,6,7,8,9,12],[1,4,6,7,9,10,14],[1,4,6,8,11,12,13],[1,4,7,8,10,11,14],[1,5,7,9,10,11,12],[1,5,8,9,12,13,14],[2,3,7,8,10,12,13],[2,3,7,9,11,12,14],[2,4,5,6,8,12,14],[2,4,5,9,10,11,13],[2,4,8,9,10,12,14],[2,5,6,7,11,12,14],[2,6,7,8,9,10,13],[3,4,5,7,9,13,14],[3,4,6,9,11,12,13],[3,4,7,8,11,13,14],[3,5,6,8,9,10,11],[3,5,6,8,10,11,14],[4,5,6,7,10,12,13]]; G[1256]:=Group([(1,7,12)(2,13,4)(3,8,6)(5,10,11)]); # Design 1257: autom. group order 3, simple, residual B[1257]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,11,13],[1,3,5,7,11,12,13],[1,3,6,7,9,11,14],[1,4,6,7,9,10,12],[1,4,6,10,12,13,14],[1,4,7,8,9,11,14],[1,5,7,8,10,12,14],[1,5,8,9,11,12,13],[2,3,7,8,10,12,14],[2,3,7,9,12,13,14],[2,4,5,6,11,12,14],[2,4,5,7,9,10,13],[2,4,7,8,11,12,13],[2,5,6,9,11,12,14],[2,6,7,8,9,10,11],[3,4,5,8,10,11,14],[3,4,6,8,9,12,13],[3,4,9,10,11,13,14],[3,5,6,7,10,11,13],[3,5,6,8,9,10,12],[4,5,6,7,8,13,14]]; G[1257]:=Group([(1,3,10)(2,11,12)(5,14,6)(7,8,13)]); # Design 1258: autom. group order 3, simple, residual B[1258]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,11,12,14],[1,3,6,8,11,12,13],[1,4,6,7,9,12,13],[1,4,6,8,10,12,14],[1,4,7,8,9,10,14],[1,5,7,8,10,11,13],[1,5,7,9,11,12,14],[2,3,7,8,9,10,12],[2,3,9,10,12,13,14],[2,4,5,7,12,13,14],[2,4,5,8,11,12,13],[2,4,6,8,9,11,14],[2,5,6,7,9,10,11],[2,6,7,8,11,12,14],[3,4,5,6,10,11,14],[3,4,7,8,9,11,13],[3,4,7,10,11,13,14],[3,5,6,7,8,10,12],[3,5,6,8,9,13,14],[4,5,6,9,10,12,13]]; G[1258]:=Group([(1,11,12)(2,4,10)(5,14,9)(6,13,8)]); # Design 1259: autom. group order 3, simple, residual B[1259]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,11,12,14],[1,3,6,9,10,11,14],[1,4,6,7,8,9,13],[1,4,6,8,11,12,14],[1,4,9,10,12,13,14],[1,5,7,8,9,12,14],[1,5,7,8,10,11,13],[2,3,7,8,9,10,14],[2,3,8,9,11,12,13],[2,4,5,7,11,13,14],[2,4,5,8,10,12,14],[2,4,6,7,9,11,12],[2,5,6,9,12,13,14],[2,6,7,8,10,11,14],[3,4,5,6,10,13,14],[3,4,7,8,10,12,13],[3,4,7,9,11,13,14],[3,5,6,7,9,10,12],[3,5,6,8,11,12,13],[4,5,6,8,9,10,11]]; G[1259]:=Group([(1,13,14)(2,3,8)(4,12,10)(5,11,7)]); # Design 1260: autom. group order 3, simple B[1260]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,10,12,14],[1,2,6,8,9,11,14],[1,3,5,7,8,13,14],[1,3,6,8,9,12,14],[1,4,6,7,8,10,13],[1,4,7,8,11,12,14],[1,4,9,10,11,13,14],[1,5,6,9,10,12,13],[1,5,7,9,11,12,13],[2,3,7,9,11,13,14],[2,3,8,10,12,13,14],[2,4,5,6,9,13,14],[2,4,5,8,11,12,13],[2,4,6,7,12,13,14],[2,5,7,8,9,10,11],[2,6,7,8,9,10,12],[3,4,5,9,10,12,14],[3,4,6,7,9,11,12],[3,4,7,8,9,10,13],[3,5,6,7,10,11,14],[3,5,6,8,11,12,13],[4,5,6,8,10,11,14]]; G[1260]:=Group([(1,10,13)(2,8,5)(3,7,12)(4,9,11)]); # Design 1261: autom. group order 3, simple, residual B[1261]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,12,13,14],[1,3,6,7,9,11,13],[1,4,6,7,8,11,14],[1,4,7,9,10,12,13],[1,4,8,10,11,13,14],[1,5,6,9,10,11,12],[1,5,7,8,10,12,14],[2,3,7,8,12,13,14],[2,3,7,9,10,11,14],[2,4,5,6,11,12,14],[2,4,5,8,9,10,13],[2,4,6,7,10,12,13],[2,5,7,9,10,11,14],[2,6,8,9,11,12,13],[3,4,5,11,12,13,14],[3,4,6,8,9,10,14],[3,4,7,8,9,11,12],[3,5,6,7,8,10,12],[3,5,6,8,10,11,13],[4,5,6,7,9,13,14]]; G[1261]:=Group([(1,6,13)(2,10,14)(4,8,12)(7,11,9)]); # Design 1262: autom. group order 3, simple, residual B[1262]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,11,12,14],[1,3,6,7,8,9,11],[1,4,6,10,11,12,13],[1,4,7,8,9,13,14],[1,4,8,9,10,12,14],[1,5,6,9,10,11,14],[1,5,7,8,10,12,13],[2,3,7,8,10,12,14],[2,3,8,9,10,11,13],[2,4,5,6,8,12,13],[2,4,5,9,11,12,14],[2,4,6,7,9,10,14],[2,5,7,9,10,11,13],[2,6,7,8,11,12,14],[3,4,5,7,10,13,14],[3,4,6,8,11,13,14],[3,4,7,9,11,12,13],[3,5,6,8,9,10,12],[3,5,6,9,12,13,14],[4,5,6,7,8,10,11]]; G[1262]:=Group([(2,9,12)(3,8,10)(5,14,11)(6,7,13)]); # Design 1263: autom. group order 3, simple, residual B[1263]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,11,12,13],[1,3,5,10,11,13,14],[1,3,6,8,9,12,14],[1,4,6,7,9,10,14],[1,4,7,8,11,12,13],[1,4,9,10,12,13,14],[1,5,6,7,8,13,14],[1,5,7,8,9,10,11],[2,3,7,8,10,12,14],[2,3,7,9,11,13,14],[2,4,5,6,12,13,14],[2,4,5,7,9,10,13],[2,4,6,8,9,11,14],[2,5,7,8,10,12,14],[2,6,8,9,10,11,13],[3,4,5,8,11,13,14],[3,4,6,7,10,11,14],[3,4,7,8,9,12,13],[3,5,6,7,9,11,12],[3,5,6,9,10,12,13],[4,5,6,8,10,11,12]]; G[1263]:=Group([(1,9,11)(2,12,14)(4,6,13)(7,10,8)]); # Design 1264: autom. group order 3, simple B[1264]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,8,10,12,13],[1,3,6,9,11,12,14],[1,4,6,7,8,12,13],[1,4,7,9,10,13,14],[1,4,8,9,10,11,14],[1,5,6,7,10,11,12],[1,5,7,8,9,12,14],[2,3,7,8,9,11,13],[2,3,7,8,10,12,14],[2,4,5,6,9,12,14],[2,4,5,11,12,13,14],[2,4,6,7,8,10,14],[2,5,7,9,10,12,13],[2,6,8,9,10,11,12],[3,4,5,7,9,10,11],[3,4,6,8,9,12,13],[3,4,7,11,12,13,14],[3,5,6,7,8,11,14],[3,5,6,9,10,13,14],[4,5,6,8,10,11,13]]; G[1264]:=Group([(1,6,7)(2,4,13)(3,8,9)(5,12,11)]); # Design 1265: autom. group order 3, simple B[1265]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,8,12,13,14],[1,3,6,9,10,11,12],[1,4,6,7,8,12,13],[1,4,7,9,10,13,14],[1,4,8,9,10,11,14],[1,5,6,7,11,12,14],[1,5,7,8,9,10,12],[2,3,7,8,9,11,13],[2,3,7,8,10,12,14],[2,4,5,6,9,12,14],[2,4,5,10,11,12,13],[2,4,6,7,8,10,14],[2,5,7,9,10,12,13],[2,6,8,9,11,12,14],[3,4,5,7,9,11,14],[3,4,6,8,9,12,13],[3,4,7,11,12,13,14],[3,5,6,7,8,10,11],[3,5,6,9,10,13,14],[4,5,6,8,10,11,13]]; G[1265]:=Group([(1,6,7)(2,4,13)(3,8,9)(5,12,11)]); # Design 1266: autom. group order 3, simple, residual B[1266]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,9,12,13],[1,3,5,7,10,12,13],[1,3,6,9,10,11,14],[1,4,6,7,9,11,12],[1,4,7,8,10,13,14],[1,4,7,8,11,12,14],[1,5,6,7,9,10,14],[1,5,8,9,11,12,13],[2,3,7,8,9,10,11],[2,3,7,11,12,13,14],[2,4,5,6,7,11,13],[2,4,5,9,10,12,14],[2,4,6,8,10,12,14],[2,5,7,8,9,11,14],[2,6,7,9,10,12,13],[3,4,5,9,12,13,14],[3,4,6,9,11,13,14],[3,4,7,8,9,10,13],[3,5,6,7,8,12,14],[3,5,6,8,10,11,12],[4,5,6,8,10,11,13]]; G[1266]:=Group([(1,2,12)(3,10,11)(5,14,7)(6,9,8)]); # Design 1267: autom. group order 3, simple, residual B[1267]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,9,10,12],[1,3,5,7,8,12,13],[1,3,6,8,10,11,14],[1,4,6,9,10,13,14],[1,4,7,8,11,12,14],[1,4,7,9,11,12,13],[1,5,6,9,11,12,13],[1,5,7,8,9,10,14],[2,3,7,9,10,11,13],[2,3,8,9,11,12,14],[2,4,5,6,9,12,14],[2,4,5,8,11,13,14],[2,4,7,8,9,10,13],[2,5,6,7,10,11,12],[2,6,7,8,12,13,14],[3,4,5,10,12,13,14],[3,4,6,7,9,11,14],[3,4,6,8,10,12,13],[3,5,6,8,9,11,13],[3,5,7,9,10,12,14],[4,5,6,7,8,10,11]]; G[1267]:=Group([(1,3,12)(2,10,11)(5,13,7)(6,14,9)]); # Design 1268: autom. group order 3, simple, residual B[1268]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,10,13,14],[1,3,6,7,8,12,14],[1,4,6,8,10,11,13],[1,4,7,8,9,12,13],[1,4,7,9,10,11,14],[1,5,6,9,10,12,14],[1,5,7,8,11,12,13],[2,3,7,8,9,11,14],[2,3,8,10,12,13,14],[2,4,5,6,11,13,14],[2,4,5,8,9,10,12],[2,4,7,10,12,13,14],[2,5,6,7,9,12,13],[2,6,7,8,9,10,11],[3,4,5,7,11,12,14],[3,4,6,8,9,13,14],[3,4,6,9,11,12,13],[3,5,6,8,10,11,12],[3,5,7,9,10,11,13],[4,5,6,7,8,10,14]]; G[1268]:=Group([(2,9,13)(3,14,8)(4,10,11)(6,12,7)]); # Design 1269: autom. group order 3, simple B[1269]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,9,13,14],[1,3,5,8,10,12,14],[1,3,6,7,9,11,12],[1,4,6,9,11,12,14],[1,4,7,8,9,10,14],[1,4,8,9,10,11,13],[1,5,6,8,11,12,13],[1,5,7,10,12,13,14],[2,3,7,8,11,12,14],[2,3,8,9,11,13,14],[2,4,5,6,10,11,14],[2,4,5,9,12,13,14],[2,4,7,10,11,12,13],[2,5,6,8,9,10,12],[2,6,7,8,9,10,12],[3,4,5,7,9,12,13],[3,4,6,7,8,10,13],[3,4,6,8,12,13,14],[3,5,6,9,10,11,13],[3,5,7,9,10,11,14],[4,5,6,7,8,11,14]]; G[1269]:=Group([(1,4,11)(2,6,8)(3,14,13)(9,10,12)]); # Design 1270: autom. group order 3, simple, residual B[1270]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,12,14],[1,2,6,7,11,13,14],[1,3,5,9,11,13,14],[1,3,6,9,10,12,14],[1,4,6,7,9,12,13],[1,4,7,8,10,12,14],[1,4,8,10,11,13,14],[1,5,6,8,9,10,11],[1,5,7,8,9,12,13],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,6,8,12,14],[2,4,5,9,10,13,14],[2,4,8,9,11,12,13],[2,5,6,10,11,12,13],[2,6,7,8,9,10,14],[3,4,5,7,10,13,14],[3,4,6,7,8,11,13],[3,4,6,9,11,12,14],[3,5,6,8,12,13,14],[3,5,7,8,10,11,12],[4,5,6,7,9,10,11]]; G[1270]:=Group([(1,5,9)(2,10,12)(3,11,13)(4,6,7)]); # Design 1271: autom. group order 3, simple, residual B[1271]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,11,13,14],[1,3,6,7,11,12,14],[1,4,6,7,9,12,13],[1,4,7,8,10,12,14],[1,4,8,10,11,13,14],[1,5,6,8,9,10,11],[1,5,7,8,9,12,13],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,6,8,12,14],[2,4,5,7,11,13,14],[2,4,8,9,11,12,13],[2,5,6,10,11,12,13],[2,6,7,8,9,10,14],[3,4,5,9,10,12,14],[3,4,6,7,8,11,13],[3,4,6,9,10,13,14],[3,5,6,8,12,13,14],[3,5,7,8,10,11,12],[4,5,6,7,9,10,11]]; G[1271]:=Group([(1,5,9)(2,10,12)(3,11,13)(4,6,7)]); # Design 1272: autom. group order 3, simple, residual B[1272]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,6,8,11,12,14],[1,3,5,9,11,13,14],[1,3,6,7,11,12,13],[1,4,6,9,10,11,14],[1,4,7,8,9,12,13],[1,4,7,8,11,13,14],[1,5,6,9,10,12,14],[1,5,7,8,9,10,12],[2,3,7,9,10,13,14],[2,3,7,9,11,12,14],[2,4,5,6,7,12,14],[2,4,5,9,11,12,13],[2,4,8,10,12,13,14],[2,5,6,8,9,11,13],[2,6,7,8,9,10,11],[3,4,5,8,10,11,14],[3,4,6,7,8,9,14],[3,4,6,9,10,12,13],[3,5,6,8,12,13,14],[3,5,7,8,10,11,12],[4,5,6,7,10,11,13]]; G[1272]:=Group([(1,8,10)(3,6,13)(4,11,14)(5,9,7)]); # Design 1273: autom. group order 3, simple, residual B[1273]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,10,12,14],[1,3,6,7,11,13,14],[1,4,6,8,10,11,14],[1,4,7,8,9,10,13],[1,4,7,8,9,12,14],[1,5,6,9,12,13,14],[1,5,7,8,11,12,13],[2,3,7,8,9,11,14],[2,3,8,10,12,13,14],[2,4,5,6,7,12,14],[2,4,5,9,11,13,14],[2,4,7,10,12,13,14],[2,5,6,8,9,10,13],[2,6,7,8,9,11,12],[3,4,5,8,11,12,13],[3,4,6,7,9,10,13],[3,4,6,9,11,12,13],[3,5,6,7,8,10,12],[3,5,7,9,10,11,14],[4,5,6,8,10,11,14]]; G[1273]:=Group([(2,9,13)(3,12,7)(4,14,11)(6,10,8)]); # Design 1274: autom. group order 3, simple, residual B[1274]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,10,12,14],[1,3,6,7,11,13,14],[1,4,6,8,10,11,14],[1,4,7,8,9,10,13],[1,4,7,8,9,12,14],[1,5,6,9,12,13,14],[1,5,7,8,11,12,13],[2,3,7,8,9,11,14],[2,3,8,10,12,13,14],[2,4,5,6,8,12,13],[2,4,5,9,11,13,14],[2,4,7,10,12,13,14],[2,5,6,7,9,10,14],[2,6,7,8,9,11,12],[3,4,5,7,11,12,14],[3,4,6,7,9,10,13],[3,4,6,9,11,12,13],[3,5,6,7,8,10,12],[3,5,8,9,10,11,13],[4,5,6,8,10,11,14]]; G[1274]:=Group([(2,9,13)(3,12,7)(4,14,11)(6,10,8)]); # Design 1275: autom. group order 3, simple, residual B[1275]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[2,3,7,8,12,13,14],[2,3,7,9,10,11,14],[2,4,5,6,10,12,14],[2,4,5,8,9,11,13],[2,4,7,8,11,13,14],[2,5,6,9,11,12,13],[2,6,7,8,9,10,12],[3,4,5,7,9,12,14],[3,4,6,7,8,11,12],[3,4,6,9,10,13,14],[3,5,6,8,10,11,14],[3,5,8,9,10,12,13],[4,5,6,7,10,11,13]]; G[1275]:=Group([(1,7,12)(3,14,6)(4,13,9)(5,8,11)]); # Design 1276: autom. group order 3, simple, residual B[1276]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,10,12,13],[1,3,6,9,11,13,14],[1,4,6,8,9,10,11],[1,4,7,8,11,12,14],[1,4,7,8,12,13,14],[1,5,6,8,9,10,12],[1,5,7,9,10,11,14],[2,3,7,9,10,12,14],[2,3,8,9,11,12,14],[2,4,5,6,7,11,14],[2,4,5,9,11,12,13],[2,4,7,8,9,10,13],[2,5,6,8,10,12,14],[2,6,7,8,10,11,13],[3,4,5,8,10,13,14],[3,4,6,7,9,10,14],[3,4,6,10,11,12,13],[3,5,6,7,8,11,12],[3,5,7,8,9,11,13],[4,5,6,9,12,13,14]]; G[1276]:=Group([(1,7,12)(2,9,6)(3,10,5)(4,14,8)]); # Design 1277: autom. group order 3, simple, residual B[1277]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,11,14],[1,3,5,9,12,13,14],[1,3,6,7,8,12,14],[1,4,6,8,10,12,14],[1,4,7,8,9,11,13],[1,4,7,9,10,12,13],[1,5,6,9,11,12,13],[1,5,7,8,10,11,14],[2,3,7,8,9,10,13],[2,3,8,11,12,13,14],[2,4,5,6,7,13,14],[2,4,5,9,10,12,14],[2,4,7,11,12,13,14],[2,5,6,8,9,11,12],[2,6,7,8,9,10,12],[3,4,5,7,8,11,12],[3,4,6,8,9,13,14],[3,4,6,9,10,11,14],[3,5,6,7,10,12,13],[3,5,7,9,10,11,14],[4,5,6,8,10,11,13]]; G[1277]:=Group([(2,9,14)(3,13,8)(4,12,10)(6,11,7)]); # Design 1278: autom. group order 3, simple, residual B[1278]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,11,12,14],[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],[2,4,5,7,8,11,13],[2,4,7,8,11,13,14],[2,5,6,9,11,12,13],[2,6,7,8,9,10,12],[3,4,5,7,9,12,14],[3,4,6,7,10,13,14],[3,4,6,8,9,11,12],[3,5,6,8,10,11,14],[3,5,7,8,10,12,13],[4,5,6,9,10,11,13]]; G[1278]:=Group([(1,6,12)(2,11,7)(3,9,10)(4,13,8)]); # Design 1279: autom. group order 3, simple B[1279]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,8,11,14],[1,3,6,7,9,10,12],[1,4,6,7,11,12,14],[1,4,7,8,10,12,13],[1,4,8,9,10,11,14],[1,5,6,8,9,12,13],[1,5,7,9,10,13,14],[2,3,7,8,12,13,14],[2,3,8,9,10,12,14],[2,4,5,6,9,12,14],[2,4,5,7,10,13,14],[2,4,7,9,11,12,13],[2,5,6,7,8,10,11],[2,6,7,8,9,10,11],[3,4,5,9,10,11,13],[3,4,6,7,8,9,13],[3,4,6,8,11,13,14],[3,5,6,10,11,12,13],[3,5,7,9,11,12,14],[4,5,6,8,10,12,14]]; G[1279]:=Group([(1,4,12)(2,6,8)(3,14,13)(7,10,11)]); # Design 1280: autom. group order 3, simple, residual B[1280]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,9,10,13,14],[1,3,5,8,10,11,14],[1,3,6,7,9,11,12],[1,4,6,7,11,12,14],[1,4,7,8,9,10,14],[1,4,7,8,10,12,13],[1,5,6,8,9,12,13],[1,5,7,9,11,13,14],[2,3,7,8,9,12,14],[2,3,7,8,12,13,14],[2,4,5,6,9,12,14],[2,4,5,7,11,13,14],[2,4,9,10,11,12,13],[2,5,6,7,8,10,11],[2,6,7,8,9,10,11],[3,4,5,7,9,10,13],[3,4,6,8,9,11,13],[3,4,6,8,11,13,14],[3,5,6,7,10,12,13],[3,5,9,10,11,12,14],[4,5,6,8,10,12,14]]; G[1280]:=Group([(1,4,12)(2,6,8)(3,14,13)(7,10,11)]); # Design 1281: autom. group order 3, simple, residual B[1281]:=[[1,2,3,4,5,6,7],[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],[1,4,6,8,9,12,13],[1,4,7,8,9,11,13],[1,4,7,10,12,13,14],[1,5,6,8,9,10,12],[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],[3,4,7,8,10,11,12],[3,5,6,9,10,11,12],[3,5,7,8,11,12,13],[4,5,6,7,8,10,14]]; G[1281]:=Group([(1,7,12)(2,11,9)(3,8,6)(4,13,10)]); # Design 1282: autom. group order 3, simple, residual B[1282]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,6,8,11,13,14],[1,3,5,7,8,10,14],[1,3,6,8,9,12,13],[1,4,6,9,11,12,14],[1,4,7,8,11,12,14],[1,4,7,9,10,13,14],[1,5,6,7,9,10,11],[1,5,8,9,10,12,13],[2,3,7,8,9,11,14],[2,3,7,9,12,13,14],[2,4,5,8,9,11,13],[2,4,5,10,12,13,14],[2,4,6,7,8,10,12],[2,5,6,9,10,11,14],[2,6,7,8,9,10,12],[3,4,5,6,9,12,14],[3,4,6,8,10,11,13],[3,4,7,9,10,11,13],[3,5,6,7,11,12,13],[3,5,8,10,11,12,14],[4,5,6,7,8,13,14]]; G[1282]:=Group([(1,3,11)(2,10,12)(5,13,14)(6,8,7)]); # Design 1283: autom. group order 3, simple, residual B[1283]:=[[1,2,3,4,5,6,7],[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],[1,2,6,10,12,13,14],[1,3,5,9,12,13,14],[1,3,6,7,9,11,13],[1,4,6,8,9,10,12],[1,4,7,8,11,12,14],[1,4,7,8,11,13,14],[1,5,6,8,9,10,11],[1,5,7,9,10,12,14],[2,3,7,9,10,11,14],[2,3,8,9,11,12,14],[2,4,5,8,10,13,14],[2,4,5,9,11,12,13],[2,4,6,7,9,10,14],[2,5,6,7,8,11,12],[2,6,7,8,9,12,13],[3,4,5,6,7,12,14],[3,4,6,10,11,12,13],[3,4,7,8,9,10,13],[3,5,6,8,10,11,14],[3,5,7,8,10,12,13],[4,5,6,9,11,13,14]]; G[1283]:=Group([(1,7,11)(2,10,5)(3,9,6)(4,14,8)]); # Design 1284: autom. group order 3, simple, residual B[1284]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,11,13,14],[1,3,6,8,11,12,14],[1,4,6,7,9,13,14],[1,4,7,8,9,10,12],[1,4,7,8,10,11,14],[1,5,6,9,10,11,12],[1,5,7,10,12,13,14],[2,3,7,9,10,11,14],[2,3,7,9,10,12,13],[2,4,5,8,10,13,14],[2,4,5,9,11,12,14],[2,4,6,7,11,12,13],[2,5,6,8,10,12,14],[2,6,7,8,9,11,14],[3,4,5,6,7,12,14],[3,4,6,8,10,11,13],[3,4,8,9,12,13,14],[3,5,6,7,8,9,10],[3,5,7,8,11,12,13],[4,5,6,9,10,11,13]]; G[1284]:=Group([(1,13,14)(2,4,11)(3,6,9)(5,10,7)]); # Design 1285: autom. group order 3, simple B[1285]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,10,11,14],[1,3,6,7,9,11,12],[1,4,6,8,9,11,13],[1,4,7,8,9,10,14],[1,4,7,11,12,13,14],[1,5,6,8,10,12,14],[1,5,7,8,9,12,13],[2,3,7,8,11,13,14],[2,3,8,9,10,12,13],[2,4,5,7,8,12,14],[2,4,5,9,11,12,13],[2,4,6,9,10,12,14],[2,5,6,7,9,11,14],[2,6,7,8,9,10,11],[3,4,5,6,7,10,13],[3,4,6,8,11,12,14],[3,4,7,9,10,13,14],[3,5,6,9,12,13,14],[3,5,7,8,10,11,12],[4,5,6,8,10,11,13]]; G[1285]:=Group([(1,8,9)(2,11,14)(3,6,10)(5,13,7)]); # Design 1286: autom. group order 3, simple, residual B[1286]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,11,12,14],[1,3,5,7,11,13,14],[1,3,6,7,9,12,14],[1,4,6,9,10,11,14],[1,4,7,8,10,12,13],[1,4,7,8,12,13,14],[1,5,6,9,11,12,13],[1,5,7,8,9,10,11],[2,3,7,8,9,11,12],[2,3,9,10,12,13,14],[2,4,5,7,9,12,14],[2,4,5,8,11,13,14],[2,4,6,7,10,11,14],[2,5,6,7,10,12,13],[2,6,7,8,9,11,13],[3,4,5,6,11,12,13],[3,4,6,8,9,13,14],[3,4,7,9,10,11,13],[3,5,6,7,8,10,14],[3,5,8,10,11,12,14],[4,5,6,8,9,10,12]]; G[1286]:=Group([(1,7,12)(2,11,5)(3,9,6)(4,8,13)]); # Design 1287: autom. group order 3, simple, residual B[1287]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,11,12,13],[1,3,5,7,11,13,14],[1,3,6,7,9,10,12],[1,4,6,9,10,11,13],[1,4,7,8,10,12,14],[1,4,7,8,12,13,14],[1,5,6,9,11,12,14],[1,5,7,8,9,10,11],[2,3,7,8,9,11,12],[2,3,9,10,12,13,14],[2,4,5,7,9,12,13],[2,4,5,8,10,11,14],[2,4,6,7,10,11,13],[2,5,6,7,10,12,14],[2,6,7,8,9,11,14],[3,4,5,6,11,12,14],[3,4,6,8,9,10,14],[3,4,7,9,11,13,14],[3,5,6,7,8,10,13],[3,5,8,10,11,12,13],[4,5,6,8,9,12,13]]; G[1287]:=Group([(1,7,12)(2,11,5)(3,9,6)(4,8,14)]); # Design 1288: autom. group order 3, simple, residual B[1288]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,8,9,10,14],[1,3,6,7,9,12,13],[1,4,6,9,11,12,14],[1,4,7,8,10,13,14],[1,4,7,8,11,12,14],[1,5,6,7,8,10,11],[1,5,7,9,10,12,13],[2,3,7,8,9,11,14],[2,3,7,8,12,13,14],[2,4,5,7,9,11,13],[2,4,5,10,12,13,14],[2,4,6,8,9,10,12],[2,5,6,7,10,11,14],[2,6,7,8,9,10,12],[3,4,5,6,7,12,14],[3,4,6,8,10,11,13],[3,4,7,9,10,11,13],[3,5,6,8,11,12,13],[3,5,9,10,11,12,14],[4,5,6,8,9,13,14]]; G[1288]:=Group([(1,3,11)(2,10,12)(5,13,14)(6,9,8)]); # Design 1289: autom. group order 3, simple B[1289]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,9,13,14],[1,2,6,8,10,11,14],[1,3,5,7,11,12,13],[1,3,6,9,11,12,14],[1,4,7,8,10,13,14],[1,4,7,9,10,11,14],[1,4,8,9,11,12,13],[1,5,6,7,8,12,14],[1,5,6,9,10,12,13],[2,3,7,9,10,12,14],[2,3,8,9,12,13,14],[2,4,5,6,9,11,14],[2,4,5,10,12,13,14],[2,4,6,7,11,12,13],[2,5,7,8,10,11,12],[2,6,7,8,9,11,13],[3,4,5,8,11,13,14],[3,4,6,7,8,12,14],[3,4,6,7,9,10,13],[3,5,6,10,11,13,14],[3,5,7,8,9,10,11],[4,5,6,8,9,10,12]]; G[1289]:=Group([(1,11,12)(2,5,14)(4,13,9)(6,10,7)]); # Design 1290: autom. group order 3, simple, residual B[1290]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,6,7,11,13,14],[1,3,5,7,8,12,14],[1,3,6,7,9,12,13],[1,4,7,8,10,11,13],[1,4,7,9,10,11,14],[1,4,8,9,12,13,14],[1,5,6,8,10,11,12],[1,5,6,9,10,12,14],[2,3,7,8,11,12,14],[2,3,8,9,10,13,14],[2,4,5,6,9,11,14],[2,4,5,7,10,12,13],[2,4,6,8,10,12,14],[2,5,7,9,10,12,13],[2,6,7,8,9,11,12],[3,4,5,11,12,13,14],[3,4,6,7,8,9,10],[3,4,6,9,11,12,13],[3,5,6,8,10,11,13],[3,5,7,9,10,11,14],[4,5,6,7,8,13,14]]; G[1290]:=Group([(1,3,11)(2,12,10)(5,13,7)(6,14,8)]); # Design 1291: autom. group order 3, simple B[1291]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,6,9,10,12,13],[1,3,5,7,8,12,13],[1,3,6,7,9,11,14],[1,4,7,8,10,11,14],[1,4,7,9,12,13,14],[1,4,8,9,10,11,13],[1,5,6,7,10,11,12],[1,5,6,8,9,12,14],[2,3,7,8,11,12,14],[2,3,8,9,10,12,14],[2,4,5,6,9,11,14],[2,4,5,7,10,13,14],[2,4,6,7,8,12,13],[2,5,7,9,10,11,12],[2,6,7,8,9,11,13],[3,4,5,9,11,12,13],[3,4,6,7,8,9,10],[3,4,6,11,12,13,14],[3,5,6,8,10,11,13],[3,5,7,9,10,13,14],[4,5,6,8,10,12,14]]; G[1291]:=Group([(1,3,11)(2,12,10)(5,13,8)(6,14,7)]); # Design 1292: autom. group order 3, simple, residual B[1292]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,9,11,14],[1,2,6,7,11,13,14],[1,3,5,7,12,13,14],[1,3,9,10,12,13,14],[1,4,6,7,9,10,13],[1,4,6,8,9,12,14],[1,4,6,8,11,12,14],[1,5,7,8,10,11,12],[1,5,8,9,10,11,13],[2,3,6,9,11,12,13],[2,3,7,8,10,12,14],[2,4,5,8,10,13,14],[2,4,5,9,12,13,14],[2,4,7,9,10,11,12],[2,5,6,8,11,12,13],[2,6,7,8,9,10,14],[3,4,5,6,10,11,14],[3,4,7,8,9,11,13],[3,4,7,8,11,13,14],[3,5,6,7,8,9,12],[3,5,6,9,10,11,14],[4,5,6,7,10,12,13]]; G[1292]:=Group([(1,10,13)(3,8,6)(4,14,11)(5,7,12)]); # Design 1293: autom. group order 3, simple, residual B[1293]:=[[1,2,3,4,5,6,7],[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],[1,3,9,10,11,13,14],[1,4,6,8,10,12,14],[1,4,6,8,11,12,13],[1,4,7,9,11,12,13],[1,5,6,7,9,11,14],[1,5,7,8,9,10,12],[2,3,6,9,11,12,14],[2,3,7,8,11,12,14],[2,4,5,6,12,13,14],[2,4,5,9,10,11,13],[2,4,7,8,9,13,14],[2,5,7,8,10,11,12],[2,6,7,9,10,12,13],[3,4,5,9,10,12,14],[3,4,6,7,8,9,11],[3,4,7,8,10,13,14],[3,5,6,8,9,12,13],[3,5,6,8,10,11,13],[4,5,6,7,10,11,14]]; G[1293]:=Group([(1,2,12)(3,11,4)(5,14,13)(6,7,8)]); # Design 1294: autom. group order 3, simple B[1294]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,13],[1,2,6,8,11,13,14],[1,3,5,10,11,12,14],[1,3,7,9,12,13,14],[1,4,6,7,9,10,11],[1,4,6,8,9,10,14],[1,4,7,9,11,12,13],[1,5,6,8,11,12,14],[1,5,7,8,10,12,13],[2,3,6,9,10,12,14],[2,3,7,8,10,11,13],[2,4,5,6,11,12,13],[2,4,5,9,12,13,14],[2,4,7,8,10,12,14],[2,5,7,9,10,11,14],[2,6,7,8,9,11,12],[3,4,5,7,8,11,14],[3,4,6,8,10,12,13],[3,4,8,9,11,13,14],[3,5,6,7,8,9,12],[3,5,6,9,10,11,13],[4,5,6,7,10,13,14]]; G[1294]:=Group([(2,7,14)(3,13,6)(4,12,8)(5,9,11)]); # Design 1295: autom. group order 3, simple, residual B[1295]:=[[1,2,3,4,5,6,7],[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],[1,3,5,10,11,13,14],[1,3,7,8,9,12,13],[1,4,6,8,10,12,13],[1,4,6,9,11,13,14],[1,4,7,8,9,10,14],[1,5,6,7,9,11,12],[1,5,7,9,10,12,14],[2,3,6,8,9,12,14],[2,3,9,10,12,13,14],[2,4,5,6,9,10,14],[2,4,5,7,12,13,14],[2,4,7,8,9,11,13],[2,5,7,8,10,11,12],[2,6,7,9,10,11,13],[3,4,5,9,11,12,13],[3,4,6,7,11,12,14],[3,4,7,8,10,11,14],[3,5,6,7,8,13,14],[3,5,6,8,9,10,11],[4,5,6,8,10,12,13]]; G[1295]:=Group([(2,7,14)(3,9,11)(4,12,13)(6,10,8)]); # Design 1296: autom. group order 3, simple, residual B[1296]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,11,12,14],[1,3,7,9,10,11,13],[1,4,6,8,9,10,14],[1,4,6,10,11,12,14],[1,4,7,8,11,13,14],[1,5,6,8,9,12,13],[1,5,7,8,10,12,13],[2,3,6,8,11,13,14],[2,3,7,8,10,12,14],[2,4,5,6,11,12,13],[2,4,5,9,10,13,14],[2,4,7,9,10,12,13],[2,5,8,9,10,11,14],[2,6,7,8,9,11,12],[3,4,5,7,8,12,14],[3,4,6,7,9,13,14],[3,4,8,9,11,12,13],[3,5,6,7,9,10,11],[3,5,6,10,12,13,14],[4,5,6,7,8,10,11]]; G[1296]:=Group([(1,2,7)(3,12,13)(4,9,11)(5,6,14)]); # Design 1297: autom. group order 3, simple B[1297]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,10,11,12,14],[1,3,8,9,11,12,14],[1,4,6,7,9,10,14],[1,4,6,8,12,13,14],[1,4,7,8,10,11,13],[1,5,6,9,10,12,13],[1,5,7,8,9,11,13],[2,3,6,9,11,13,14],[2,3,7,8,9,12,13],[2,4,5,6,11,12,13],[2,4,5,8,9,10,14],[2,4,9,10,11,13,14],[2,5,7,8,10,12,14],[2,6,7,8,10,11,12],[3,4,5,7,12,13,14],[3,4,6,7,8,11,14],[3,4,7,9,10,12,13],[3,5,6,7,9,10,11],[3,5,6,8,10,13,14],[4,5,6,8,9,11,12]]; G[1297]:=Group([(1,12,13)(3,7,11)(4,8,14)(5,10,9)]); # Design 1298: autom. group order 3, simple, residual B[1298]:=[[1,2,3,4,5,6,7],[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],[1,2,6,9,10,12,14],[1,3,5,9,10,13,14],[1,3,7,8,9,11,13],[1,4,6,7,11,12,14],[1,4,6,8,11,13,14],[1,4,7,8,9,10,14],[1,5,6,8,10,12,13],[1,5,7,9,11,12,13],[2,3,6,7,8,13,14],[2,3,8,9,11,12,14],[2,4,5,6,9,13,14],[2,4,5,8,11,12,13],[2,4,7,9,10,12,13],[2,5,7,10,11,13,14],[2,6,7,8,9,10,11],[3,4,5,7,10,11,14],[3,4,6,7,9,12,13],[3,4,8,10,12,13,14],[3,5,6,7,8,10,12],[3,5,6,9,11,12,14],[4,5,6,8,9,10,11]]; G[1298]:=Group([(1,9,10)(2,13,8)(3,7,6)(4,12,5)]); # Design 1299: autom. group order 3, simple B[1299]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,12,14],[1,2,6,8,11,13,14],[1,3,5,9,12,13,14],[1,3,7,9,10,12,13],[1,4,6,7,10,11,14],[1,4,6,9,10,12,14],[1,4,7,8,9,11,13],[1,5,6,8,9,11,12],[1,5,7,8,10,13,14],[2,3,6,7,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,9,13,14],[2,4,5,10,11,12,13],[2,4,7,8,9,12,14],[2,5,7,9,10,11,13],[2,6,7,8,9,10,12],[3,4,5,7,8,10,14],[3,4,6,7,9,11,13],[3,4,8,11,12,13,14],[3,5,6,7,8,11,12],[3,5,6,9,10,11,14],[4,5,6,8,10,12,13]]; G[1299]:=Group([(1,8,9)(2,12,13)(3,6,7)(4,5,11)]); # Design 1300: autom. group order 3, simple B[1300]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,12,14],[1,3,5,9,11,12,14],[1,3,7,9,11,13,14],[1,4,6,7,10,12,13],[1,4,6,9,11,12,13],[1,4,7,8,9,10,14],[1,5,6,8,9,10,11],[1,5,7,8,12,13,14],[2,3,6,7,11,12,14],[2,3,8,9,10,12,13],[2,4,5,6,9,13,14],[2,4,5,10,11,13,14],[2,4,7,8,9,11,12],[2,5,7,9,10,12,14],[2,6,7,8,9,11,13],[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],[3,5,6,9,10,12,13],[4,5,6,8,11,12,14]]; G[1300]:=Group([(1,8,9)(2,11,14)(3,6,7)(4,5,10)]); # Design 1301: autom. group order 3, simple B[1301]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,11,12,14],[1,3,7,8,11,13,14],[1,4,6,7,8,9,12],[1,4,6,9,10,11,14],[1,4,7,9,10,13,14],[1,5,6,9,11,12,13],[1,5,7,8,10,12,14],[2,3,6,8,9,11,14],[2,3,7,9,12,13,14],[2,4,5,6,12,13,14],[2,4,5,7,10,11,14],[2,4,7,9,11,12,13],[2,5,8,9,10,12,14],[2,6,7,8,9,10,11],[3,4,5,8,9,10,13],[3,4,6,7,8,12,14],[3,4,8,10,11,12,13],[3,5,6,7,9,10,13],[3,5,6,7,10,11,12],[4,5,6,8,11,13,14]]; G[1301]:=Group([(1,6,12)(2,7,11)(4,5,10)(8,9,13)]); # Design 1302: autom. group order 3, simple, residual B[1302]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,9,10,12,14],[1,3,5,11,12,13,14],[1,3,7,8,9,11,14],[1,4,6,7,9,12,13],[1,4,6,8,10,11,14],[1,4,7,9,10,13,14],[1,5,6,8,9,11,12],[1,5,7,8,10,12,13],[2,3,6,9,11,13,14],[2,3,7,8,9,12,13],[2,4,5,6,12,13,14],[2,4,5,7,9,10,11],[2,4,7,8,11,12,14],[2,5,8,9,10,12,14],[2,6,7,8,10,11,13],[3,4,5,8,10,13,14],[3,4,6,7,8,12,14],[3,4,9,10,11,12,13],[3,5,6,7,9,10,14],[3,5,6,7,10,11,12],[4,5,6,8,9,11,13]]; G[1302]:=Group([(1,6,12)(2,7,11)(4,5,10)(8,14,13)]); # Design 1303: autom. group order 3, simple B[1303]:=[[1,2,3,4,5,6,7],[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],[1,2,6,9,11,12,13],[1,3,5,10,11,12,14],[1,3,8,9,10,11,14],[1,4,6,7,9,11,14],[1,4,6,8,12,13,14],[1,4,7,9,10,12,13],[1,5,6,7,8,11,12],[1,5,7,8,9,10,13],[2,3,6,7,9,10,12],[2,3,7,8,9,11,13],[2,4,5,6,10,11,13],[2,4,5,8,9,12,14],[2,4,7,8,10,12,14],[2,5,9,11,12,13,14],[2,6,7,8,10,11,14],[3,4,5,7,11,13,14],[3,4,6,9,10,13,14],[3,4,7,8,11,12,13],[3,5,6,7,9,12,14],[3,5,6,8,10,12,13],[4,5,6,8,9,10,11]]; G[1303]:=Group([(1,7,11)(3,10,13)(4,14,9)(5,8,12)]); # Design 1304: autom. group order 3, simple B[1304]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,9,12,13],[1,3,7,10,11,12,14],[1,4,6,7,8,11,12],[1,4,6,8,11,13,14],[1,4,7,8,9,10,14],[1,5,6,9,11,12,13],[1,5,8,9,10,12,14],[2,3,6,8,9,11,12],[2,3,7,8,12,13,14],[2,4,5,6,10,12,14],[2,4,5,7,9,11,14],[2,4,9,11,12,13,14],[2,5,7,8,10,11,13],[2,6,7,8,9,10,12],[3,4,5,8,12,13,14],[3,4,6,8,9,10,13],[3,4,7,9,10,11,13],[3,5,6,7,8,11,14],[3,5,6,9,10,11,14],[4,5,6,7,10,12,13]]; G[1304]:=Group([(2,5,13)(3,9,6)(4,12,14)(8,11,10)]); # Design 1305: autom. group order 3, simple, residual B[1305]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,9,13,14],[1,3,7,8,11,12,14],[1,4,6,7,9,10,11],[1,4,6,8,11,12,14],[1,4,7,8,9,10,13],[1,5,6,9,11,12,13],[1,5,8,9,10,12,14],[2,3,6,9,10,12,14],[2,3,7,9,11,12,13],[2,4,5,6,9,11,14],[2,4,5,8,10,12,13],[2,4,7,8,11,13,14],[2,5,7,8,9,11,12],[2,6,7,8,9,10,14],[3,4,5,7,10,12,14],[3,4,6,8,9,12,13],[3,4,9,10,11,13,14],[3,5,6,7,8,10,11],[3,5,6,8,10,11,13],[4,5,6,7,12,13,14]]; G[1305]:=Group([(1,2,14)(3,6,8)(4,9,12)(5,10,11)]); # Design 1306: autom. group order 3, simple, residual B[1306]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,9,13,14],[1,3,7,8,11,12,14],[1,4,6,8,11,12,14],[1,4,6,9,10,11,13],[1,4,7,8,9,10,13],[1,5,6,7,9,11,12],[1,5,8,9,10,12,14],[2,3,6,9,10,12,14],[2,3,7,9,11,12,13],[2,4,5,6,9,11,14],[2,4,5,7,8,10,12],[2,4,7,8,11,13,14],[2,5,8,9,11,12,13],[2,6,7,8,9,10,14],[3,4,5,10,12,13,14],[3,4,6,8,9,12,13],[3,4,7,9,10,11,14],[3,5,6,7,8,10,11],[3,5,6,8,10,11,13],[4,5,6,7,12,13,14]]; G[1306]:=Group([(1,2,14)(3,6,8)(4,9,12)(5,10,11)]); # Design 1307: autom. group order 3, simple, residual B[1307]:=[[1,2,3,4,5,6,7],[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],[1,3,7,9,10,11,12],[1,4,6,8,9,10,14],[1,4,6,10,11,13,14],[1,4,7,8,11,12,13],[1,5,6,7,8,11,13],[1,5,8,9,10,12,14],[2,3,6,8,12,13,14],[2,3,7,8,10,11,14],[2,4,5,6,11,12,14],[2,4,5,7,9,10,13],[2,4,8,9,11,12,13],[2,5,7,8,10,11,14],[2,6,7,9,10,12,13],[3,4,5,10,12,13,14],[3,4,6,7,9,11,14],[3,4,7,8,9,13,14],[3,5,6,8,9,11,12],[3,5,6,9,10,11,13],[4,5,6,7,8,10,12]]; G[1307]:=Group([(1,9,13)(2,11,14)(4,6,12)(7,8,10)]); # Design 1308: autom. group order 3, simple, residual B[1308]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,11,12],[1,3,5,7,12,13,14],[1,3,7,9,11,13,14],[1,4,6,8,11,12,14],[1,4,6,8,12,13,14],[1,4,7,8,9,10,13],[1,5,6,9,10,11,14],[1,5,7,8,9,10,12],[2,3,6,9,10,12,14],[2,3,8,9,12,13,14],[2,4,5,6,7,13,14],[2,4,5,9,11,12,13],[2,4,7,8,9,11,14],[2,5,7,8,10,12,14],[2,6,7,8,10,11,13],[3,4,5,8,10,11,14],[3,4,6,7,9,10,14],[3,4,7,10,11,12,13],[3,5,6,7,8,11,12],[3,5,6,8,9,11,13],[4,5,6,9,10,12,13]]; G[1308]:=Group([(1,6,12)(2,9,7)(3,10,5)(4,14,8)]); # Design 1309: autom. group order 3, simple, residual B[1309]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,12,13],[1,3,5,7,12,13,14],[1,3,7,9,11,13,14],[1,4,6,8,11,12,14],[1,4,6,8,12,13,14],[1,4,7,8,9,10,11],[1,5,6,9,10,11,14],[1,5,7,8,9,10,12],[2,3,6,9,10,12,14],[2,3,8,9,11,12,14],[2,4,5,6,7,11,14],[2,4,5,9,11,12,13],[2,4,7,8,9,13,14],[2,5,7,8,10,12,14],[2,6,7,8,10,11,13],[3,4,5,8,10,13,14],[3,4,6,7,9,10,14],[3,4,7,10,11,12,13],[3,5,6,7,8,11,12],[3,5,6,8,9,11,13],[4,5,6,9,10,12,13]]; G[1309]:=Group([(1,6,12)(2,9,7)(3,10,5)(4,14,8)]); # Design 1310: autom. group order 3, simple, residual B[1310]:=[[1,2,3,4,5,6,7],[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],[1,3,5,10,11,13,14],[1,3,7,9,11,12,14],[1,4,6,7,8,9,11],[1,4,6,7,10,12,14],[1,4,8,9,10,13,14],[1,5,6,8,9,12,14],[1,5,7,8,10,12,13],[2,3,6,9,12,13,14],[2,3,7,8,9,10,14],[2,4,5,6,10,12,14],[2,4,5,7,9,13,14],[2,4,7,8,11,12,13],[2,5,7,8,10,11,14],[2,6,8,9,10,11,12],[3,4,5,8,11,12,14],[3,4,6,8,11,13,14],[3,4,7,9,10,12,13],[3,5,6,7,8,12,13],[3,5,6,7,9,10,11],[4,5,6,9,10,11,13]]; G[1310]:=Group([(1,9,13)(2,11,12)(3,6,7)(4,10,8)]); # Design 1311: autom. group order 3, simple B[1311]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,11,14],[1,3,5,9,12,13,14],[1,3,7,8,11,12,14],[1,4,6,7,8,9,13],[1,4,6,9,10,12,13],[1,4,7,8,10,12,14],[1,5,6,8,10,11,14],[1,5,7,9,11,12,13],[2,3,6,8,9,12,14],[2,3,7,9,10,13,14],[2,4,5,6,7,12,14],[2,4,5,8,11,12,13],[2,4,8,9,11,13,14],[2,5,7,9,10,11,12],[2,6,7,8,10,12,13],[3,4,5,7,10,13,14],[3,4,6,11,12,13,14],[3,4,7,8,9,10,11],[3,5,6,7,8,11,13],[3,5,6,8,9,10,12],[4,5,6,9,10,11,14]]; G[1311]:=Group([(2,9,14)(3,13,8)(4,12,10)(6,7,11)]); # Design 1312: autom. group order 3, simple B[1312]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,10,12],[1,3,5,9,12,13,14],[1,3,7,8,9,10,11],[1,4,6,7,8,13,14],[1,4,6,9,11,12,13],[1,4,8,9,10,12,14],[1,5,6,7,10,11,14],[1,5,7,8,11,12,13],[2,3,6,8,11,12,14],[2,3,7,9,10,13,14],[2,4,5,6,10,12,13],[2,4,5,7,9,11,14],[2,4,7,8,11,12,14],[2,5,7,8,9,12,13],[2,6,8,9,10,11,13],[3,4,5,8,10,11,13],[3,4,6,7,9,11,13],[3,4,7,10,12,13,14],[3,5,6,7,8,10,12],[3,5,6,9,11,12,14],[4,5,6,8,9,10,14]]; G[1312]:=Group([(1,7,9)(2,12,6)(3,8,11)(4,5,13)]); # Design 1313: autom. group order 3, simple, residual B[1313]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,12,13,14],[1,3,7,8,9,11,14],[1,4,6,8,12,13,14],[1,4,6,9,10,11,13],[1,4,7,8,10,11,14],[1,5,6,7,11,12,13],[1,5,7,8,9,10,12],[2,3,6,7,8,10,12],[2,3,8,11,12,13,14],[2,4,5,6,9,11,14],[2,4,5,7,8,13,14],[2,4,7,9,10,12,13],[2,5,9,10,11,12,14],[2,6,7,8,9,11,13],[3,4,5,7,11,12,13],[3,4,6,8,9,11,12],[3,4,7,9,10,13,14],[3,5,6,7,10,11,14],[3,5,6,8,9,10,13],[4,5,6,8,10,12,14]]; G[1313]:=Group([(1,9,12)(2,13,8)(3,10,6)(5,7,14)]); # Design 1314: autom. group order 3, simple, residual B[1314]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,12,13,14],[1,3,7,10,11,13,14],[1,4,6,8,11,12,13],[1,4,6,9,10,12,14],[1,4,7,9,11,12,13],[1,5,6,7,8,11,14],[1,5,7,8,9,10,12],[2,3,6,9,11,12,14],[2,3,7,8,11,12,14],[2,4,5,6,12,13,14],[2,4,5,7,10,11,13],[2,4,7,8,9,13,14],[2,5,8,9,10,11,12],[2,6,7,8,10,12,13],[3,4,5,7,10,12,14],[3,4,6,7,8,9,11],[3,4,8,9,10,13,14],[3,5,6,7,9,12,13],[3,5,6,9,10,11,13],[4,5,6,8,10,11,14]]; G[1314]:=Group([(1,2,12)(3,11,4)(5,14,13)(6,8,9)]); # Design 1315: autom. group order 3, simple, residual B[1315]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,9,12,14],[1,3,5,7,9,13,14],[1,3,7,9,10,12,14],[1,4,6,7,10,12,14],[1,4,6,9,11,13,14],[1,4,7,8,11,12,13],[1,5,6,8,9,10,11],[1,5,7,8,10,11,13],[2,3,6,8,10,13,14],[2,3,7,9,11,12,13],[2,4,5,6,7,11,14],[2,4,5,9,10,12,13],[2,4,7,8,10,13,14],[2,5,7,9,10,11,14],[2,6,7,8,9,11,12],[3,4,5,8,11,12,14],[3,4,6,7,8,9,13],[3,4,8,9,10,11,14],[3,5,6,7,8,10,12],[3,5,6,11,12,13,14],[4,5,6,9,10,12,13]]; G[1315]:=Group([(1,11,14)(3,7,8)(4,9,13)(5,12,10)]); # Design 1316: autom. group order 3, simple, residual B[1316]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,9,12,14],[1,3,5,7,9,13,14],[1,3,7,9,10,12,14],[1,4,6,7,8,9,10],[1,4,6,9,11,13,14],[1,4,7,8,11,12,13],[1,5,6,10,11,12,14],[1,5,7,8,10,11,13],[2,3,6,8,10,13,14],[2,3,7,9,11,12,13],[2,4,5,6,7,11,14],[2,4,5,9,10,12,13],[2,4,7,8,10,13,14],[2,5,7,9,10,11,14],[2,6,7,8,9,11,12],[3,4,5,8,11,12,14],[3,4,6,7,12,13,14],[3,4,8,9,10,11,14],[3,5,6,7,8,10,12],[3,5,6,8,9,11,13],[4,5,6,9,10,12,13]]; G[1316]:=Group([(1,11,14)(3,7,8)(4,9,13)(5,12,10)]); # Design 1317: autom. group order 3, simple B[1317]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,7,9,11,12,14],[1,4,6,7,8,10,11],[1,4,6,11,12,13,14],[1,4,7,8,10,13,14],[1,5,6,9,10,11,12],[1,5,7,8,9,12,13],[2,3,6,9,10,11,13],[2,3,7,8,11,12,13],[2,4,5,7,9,11,14],[2,4,5,10,12,13,14],[2,4,6,8,9,12,13],[2,5,6,7,10,12,14],[2,7,8,9,10,11,14],[3,4,5,8,11,12,14],[3,4,6,8,9,10,14],[3,4,7,9,10,12,13],[3,5,6,7,8,10,12],[3,5,6,8,11,13,14],[4,5,6,7,9,11,13]]; G[1317]:=Group([(1,11,12)(2,7,5)(3,9,10)(4,14,6)]); # Design 1318: autom. group order 3, simple B[1318]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,13,14],[1,2,5,8,9,10,13],[1,2,6,8,9,11,14],[1,3,5,10,11,12,13],[1,3,7,8,12,13,14],[1,4,6,8,11,12,13],[1,4,6,9,10,13,14],[1,4,7,8,10,11,14],[1,5,6,7,9,10,12],[1,5,7,9,11,12,14],[2,3,6,9,11,12,13],[2,3,7,9,10,11,14],[2,4,5,7,12,13,14],[2,4,5,10,11,13,14],[2,4,6,7,8,10,12],[2,5,6,8,11,12,14],[2,7,8,9,10,12,13],[3,4,5,8,9,12,14],[3,4,6,9,10,12,14],[3,4,7,8,9,11,13],[3,5,6,7,8,10,11],[3,5,6,8,10,13,14],[4,5,6,7,9,11,13]]; G[1318]:=Group([(1,4,8)(2,3,9)(6,12,13)(7,14,10)]); # Design 1319: autom. group order 3, simple, residual B[1319]:=[[1,2,3,4,5,6,7],[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],[1,3,7,8,11,12,14],[1,4,6,8,9,10,12],[1,4,6,8,10,11,13],[1,4,7,9,11,13,14],[1,5,6,9,10,13,14],[1,5,7,8,9,11,12],[2,3,6,7,9,11,13],[2,3,8,9,10,11,14],[2,4,5,8,12,13,14],[2,4,5,9,10,11,14],[2,4,6,7,9,12,14],[2,5,6,8,11,12,13],[2,7,8,9,10,12,13],[3,4,5,7,10,12,13],[3,4,6,9,11,12,13],[3,4,7,8,10,13,14],[3,5,6,7,8,9,10],[3,5,6,10,11,12,14],[4,5,6,7,8,11,14]]; G[1319]:=Group([(1,2,13)(3,8,14)(4,12,9)(7,11,10)]); # Design 1320: autom. group order 3, simple, residual B[1320]:=[[1,2,3,4,5,6,7],[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],[1,3,8,10,11,12,14],[1,4,6,7,8,11,13],[1,4,6,8,9,11,12],[1,4,7,9,10,13,14],[1,5,6,9,11,13,14],[1,5,7,8,9,10,12],[2,3,6,9,10,11,13],[2,3,7,8,9,11,14],[2,4,5,8,12,13,14],[2,4,5,9,10,11,14],[2,4,6,7,9,12,14],[2,5,6,8,10,12,13],[2,7,8,9,11,12,13],[3,4,5,7,11,12,13],[3,4,6,9,10,12,13],[3,4,7,8,10,13,14],[3,5,6,7,8,9,10],[3,5,6,7,11,12,14],[4,5,6,8,10,11,14]]; G[1320]:=Group([(1,2,13)(3,8,14)(4,12,9)(7,10,11)]); # Design 1321: autom. group order 3, simple B[1321]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,6,7,8,11,13],[1,3,5,9,12,13,14],[1,3,8,10,11,13,14],[1,4,6,7,8,9,14],[1,4,6,9,10,11,12],[1,4,7,8,10,12,14],[1,5,6,8,9,12,13],[1,5,7,9,10,11,14],[2,3,6,8,9,10,12],[2,3,7,8,9,11,14],[2,4,5,8,11,12,14],[2,4,5,9,10,13,14],[2,4,6,9,11,13,14],[2,5,6,7,10,12,14],[2,7,8,9,10,12,13],[3,4,5,7,8,10,13],[3,4,6,7,12,13,14],[3,4,7,9,11,12,13],[3,5,6,7,9,10,11],[3,5,6,8,11,12,14],[4,5,6,8,10,11,13]]; G[1321]:=Group([(1,4,13)(2,7,14)(5,12,10)(8,9,11)]); # Design 1322: autom. group order 3, simple, residual B[1322]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,6,7,11,12,13],[1,3,5,10,12,13,14],[1,3,8,9,11,13,14],[1,4,6,7,9,12,14],[1,4,6,8,9,10,11],[1,4,7,8,10,12,14],[1,5,6,8,9,12,13],[1,5,7,9,10,11,14],[2,3,6,8,9,10,12],[2,3,7,9,11,12,14],[2,4,5,8,11,12,14],[2,4,5,9,10,13,14],[2,4,6,9,11,13,14],[2,5,6,7,8,10,14],[2,7,8,9,10,12,13],[3,4,5,7,9,12,13],[3,4,6,7,8,13,14],[3,4,7,8,10,11,13],[3,5,6,7,9,10,11],[3,5,6,8,11,12,14],[4,5,6,10,11,12,13]]; G[1322]:=Group([(1,4,13)(2,7,14)(5,8,10)(9,11,12)]); # Design 1323: autom. group order 3, simple B[1323]:=[[1,2,3,4,5,6,7],[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],[1,3,8,10,11,13,14],[1,4,6,7,9,12,14],[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],[2,3,6,8,9,11,12],[2,3,7,9,10,12,14],[2,4,5,8,12,13,14],[2,4,5,9,10,11,14],[2,4,6,10,12,13,14],[2,5,6,7,8,11,14],[2,7,8,9,11,12,13],[3,4,5,7,11,12,13],[3,4,6,7,11,13,14],[3,4,7,8,9,10,13],[3,5,6,7,8,10,12],[3,5,6,9,10,11,14],[4,5,6,8,9,10,13]]; G[1323]:=Group([(1,4,13)(2,7,14)(5,11,8)(9,12,10)]); # Design 1324: autom. group order 3, simple, residual B[1324]:=[[1,2,3,4,5,6,7],[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],[1,2,6,10,11,12,14],[1,3,5,9,12,13,14],[1,3,7,8,10,12,14],[1,4,6,7,8,11,13],[1,4,6,8,9,10,12],[1,4,7,9,11,13,14],[1,5,6,9,10,13,14],[1,5,7,8,9,11,12],[2,3,6,7,9,10,13],[2,3,7,8,9,11,14],[2,4,5,8,12,13,14],[2,4,5,9,10,11,14],[2,4,6,7,9,12,14],[2,5,6,8,11,12,13],[2,7,8,9,10,12,13],[3,4,5,7,10,12,13],[3,4,6,9,11,12,13],[3,4,8,10,11,13,14],[3,5,6,7,11,12,14],[3,5,6,8,9,10,11],[4,5,6,7,8,10,14]]; G[1324]:=Group([(1,2,13)(3,8,14)(4,12,9)(7,11,10)]); # Design 1325: autom. group order 3, simple B[1325]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,9,13,14],[1,3,5,7,10,11,13],[1,3,7,8,9,12,13],[1,4,6,7,11,12,14],[1,4,6,8,9,10,12],[1,4,8,9,11,13,14],[1,5,6,9,10,11,14],[1,5,7,8,10,12,14],[2,3,6,8,11,12,14],[2,3,7,8,9,10,14],[2,4,5,7,9,12,14],[2,4,5,10,12,13,14],[2,4,6,7,8,11,13],[2,5,6,8,9,10,11],[2,7,9,10,11,12,13],[3,4,5,9,11,13,14],[3,4,6,9,10,12,13],[3,4,7,8,10,11,14],[3,5,6,7,9,11,12],[3,5,6,8,12,13,14],[4,5,6,7,8,10,13]]; G[1325]:=Group([(1,7,11)(2,8,9)(3,10,5)(4,14,6)]); # Design 1326: autom. group order 3, simple, residual B[1326]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,9,10,13],[1,3,7,8,9,11,14],[1,4,6,9,10,11,14],[1,4,6,9,12,13,14],[1,4,7,8,11,12,13],[1,5,6,7,8,12,14],[1,5,8,9,10,11,12],[2,3,6,9,11,12,14],[2,3,7,9,11,12,13],[2,4,5,7,9,12,14],[2,4,5,8,11,13,14],[2,4,6,7,8,10,11],[2,5,6,8,9,10,12],[2,7,8,9,10,13,14],[3,4,5,10,12,13,14],[3,4,6,8,9,10,13],[3,4,7,8,10,12,14],[3,5,6,7,10,11,14],[3,5,6,8,11,12,13],[4,5,6,7,9,11,13]]; G[1326]:=Group([(1,10,11)(2,4,12)(5,14,9)(6,8,13)]); # Design 1327: autom. group order 3, simple B[1327]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,13,14],[1,2,6,7,8,9,11],[1,3,5,7,12,13,14],[1,3,7,8,10,12,13],[1,4,6,8,11,12,13],[1,4,6,9,10,13,14],[1,4,7,8,10,11,14],[1,5,6,9,10,11,12],[1,5,7,9,11,12,14],[2,3,6,9,11,12,13],[2,3,7,9,10,11,14],[2,4,5,7,10,11,13],[2,4,5,11,12,13,14],[2,4,6,7,8,12,14],[2,5,6,8,10,12,14],[2,7,8,9,10,12,13],[3,4,5,8,9,10,12],[3,4,6,7,9,12,14],[3,4,8,9,11,13,14],[3,5,6,7,8,11,13],[3,5,6,8,10,11,14],[4,5,6,7,9,10,13]]; G[1327]:=Group([(1,4,8)(2,3,9)(6,12,13)(7,10,14)]); # Design 1328: autom. group order 3, simple, residual B[1328]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,4,7,8,10,12,14],[1,5,6,8,10,11,12],[1,5,7,9,10,11,14],[2,3,6,7,8,11,12],[2,3,9,11,12,13,14],[2,4,5,7,10,11,13],[2,4,5,9,10,12,14],[2,4,6,7,8,9,14],[2,5,6,7,11,12,14],[2,7,8,9,10,12,13],[3,4,5,8,12,13,14],[3,4,6,9,10,11,14],[3,4,7,8,10,11,13],[3,5,6,7,9,10,13],[3,5,6,8,9,10,12],[4,5,6,8,11,13,14]]; G[1328]:=Group([(1,6,13)(2,10,14)(4,9,12)]); # Design 1329: autom. group order 3, simple, residual B[1329]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,12,13,14],[1,3,7,8,9,10,13],[1,4,6,7,8,13,14],[1,4,6,7,11,12,13],[1,4,9,10,11,12,14],[1,5,6,7,9,10,11],[1,5,7,8,10,12,14],[2,3,6,7,9,10,12],[2,3,7,11,12,13,14],[2,4,5,7,9,11,14],[2,4,5,7,10,13,14],[2,4,6,8,9,12,13],[2,5,6,8,10,12,14],[2,7,8,9,10,11,13],[3,4,5,8,10,11,13],[3,4,6,8,10,11,14],[3,4,7,8,9,12,14],[3,5,6,7,8,11,12],[3,5,6,9,11,13,14],[4,5,6,9,10,12,13]]; G[1329]:=Group([(2,6,11)(3,7,12)(5,13,10)(8,14,9)]); # Design 1330: autom. group order 3, simple, residual B[1330]:=[[1,2,3,4,5,6,7],[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],[1,2,6,9,11,12,14],[1,3,5,9,11,13,14],[1,3,7,8,9,12,13],[1,4,6,7,11,13,14],[1,4,6,9,10,12,13],[1,4,7,8,9,10,14],[1,5,6,7,8,12,14],[1,5,7,8,10,11,12],[2,3,6,7,10,12,14],[2,3,7,9,12,13,14],[2,4,5,7,9,10,14],[2,4,5,8,12,13,14],[2,4,6,7,8,11,13],[2,5,6,8,9,11,12],[2,7,8,9,10,11,13],[3,4,5,7,11,12,13],[3,4,6,8,9,11,14],[3,4,8,10,11,12,14],[3,5,6,7,9,10,11],[3,5,6,8,10,13,14],[4,5,6,9,10,12,13]]; G[1330]:=Group([(2,8,14)(3,7,11)(4,12,13)(6,10,9)]); # Design 1331: autom. group order 3, simple, residual B[1331]:=[[1,2,3,4,5,6,7],[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],[1,2,6,9,11,12,14],[1,3,5,9,11,13,14],[1,3,7,8,9,12,13],[1,4,6,7,11,13,14],[1,4,6,9,10,12,13],[1,4,7,8,9,10,14],[1,5,6,7,8,12,14],[1,5,7,8,10,11,12],[2,3,6,7,10,12,14],[2,3,7,9,12,13,14],[2,4,5,7,9,11,12],[2,4,5,8,12,13,14],[2,4,6,7,8,11,13],[2,5,6,8,9,10,14],[2,7,8,9,10,11,13],[3,4,5,7,10,13,14],[3,4,6,8,9,11,14],[3,4,8,10,11,12,14],[3,5,6,7,9,10,11],[3,5,6,8,11,12,13],[4,5,6,9,10,12,13]]; G[1331]:=Group([(2,8,14)(3,7,11)(4,12,13)(6,10,9)]); # Design 1332: autom. group order 3, simple, residual B[1332]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,8,9,11,14],[1,3,7,9,10,12,14],[1,4,6,7,10,11,14],[1,4,6,8,9,12,13],[1,4,8,11,12,13,14],[1,5,6,9,10,12,13],[1,5,7,8,10,11,12],[2,3,6,8,11,12,14],[2,3,7,8,10,12,13],[2,4,5,7,11,12,13],[2,4,5,9,10,12,14],[2,4,6,8,9,10,11],[2,5,9,10,11,13,14],[2,6,7,8,9,12,14],[3,4,5,6,12,13,14],[3,4,7,8,9,10,13],[3,4,7,9,11,13,14],[3,5,6,7,9,11,12],[3,5,6,8,10,11,13],[4,5,6,7,8,10,14]]; G[1332]:=Group([(1,3,13)(2,10,6)(4,8,9)(5,7,12)]); # Design 1333: autom. group order 3, simple, residual B[1333]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,8,11,12,14],[1,3,7,9,12,13,14],[1,4,6,7,8,9,14],[1,4,6,7,10,11,12],[1,4,8,9,10,11,14],[1,5,6,9,10,11,13],[1,5,7,8,10,12,13],[2,3,6,7,9,11,12],[2,3,8,9,10,11,13],[2,4,5,7,8,11,13],[2,4,5,9,10,12,14],[2,4,6,8,12,13,14],[2,5,7,9,10,12,14],[2,6,7,8,10,11,14],[3,4,5,6,10,13,14],[3,4,7,8,10,12,13],[3,4,7,9,11,13,14],[3,5,6,7,8,9,10],[3,5,6,8,11,12,14],[4,5,6,9,11,12,13]]; G[1333]:=Group([(2,9,10)(3,8,11)(5,14,12)]); # Design 1334: autom. group order 3, simple, residual B[1334]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,8,11,12,14],[1,3,7,9,12,13,14],[1,4,6,7,8,9,14],[1,4,6,7,10,11,12],[1,4,8,9,10,11,14],[1,5,6,9,10,11,13],[1,5,7,8,10,12,13],[2,3,6,7,8,10,14],[2,3,8,9,10,11,13],[2,4,5,7,8,11,13],[2,4,5,9,10,12,14],[2,4,6,11,12,13,14],[2,5,7,9,10,12,14],[2,6,7,8,9,11,12],[3,4,5,6,9,12,13],[3,4,7,8,10,12,13],[3,4,7,9,11,13,14],[3,5,6,7,9,10,11],[3,5,6,8,11,12,14],[4,5,6,8,10,13,14]]; G[1334]:=Group([(2,9,10)(3,8,11)(5,14,12)]); # Design 1335: autom. group order 3, simple B[1335]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,6,11,12,13,14],[1,3,5,9,10,11,14],[1,3,7,8,10,13,14],[1,4,6,7,8,9,14],[1,4,6,7,10,11,12],[1,4,8,9,11,12,14],[1,5,6,8,9,12,13],[1,5,7,9,10,12,13],[2,3,6,7,9,12,14],[2,3,8,9,11,12,13],[2,4,5,7,9,11,13],[2,4,5,8,10,12,14],[2,4,6,9,10,13,14],[2,5,7,8,10,12,14],[2,6,7,8,9,10,11],[3,4,5,6,12,13,14],[3,4,7,8,11,13,14],[3,4,7,9,10,12,13],[3,5,6,7,8,11,12],[3,5,6,9,10,11,14],[4,5,6,8,10,11,13]]; G[1335]:=Group([(2,8,12)(3,9,11)(5,14,10)]); # Design 1336: autom. group order 3, simple B[1336]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,11,12,14],[1,3,7,10,11,12,13],[1,4,6,7,8,10,13],[1,4,6,9,11,12,14],[1,4,7,9,11,13,14],[1,5,6,8,10,12,13],[1,5,7,8,9,12,14],[2,3,6,9,10,12,14],[2,3,7,8,11,13,14],[2,4,5,7,12,13,14],[2,4,5,10,12,13,14],[2,4,6,7,8,11,12],[2,5,7,8,9,10,11],[2,6,8,9,11,12,13],[3,4,5,6,9,11,13],[3,4,7,8,9,10,12],[3,4,8,9,10,13,14],[3,5,6,7,9,12,13],[3,5,6,7,10,11,14],[4,5,6,8,10,11,14]]; G[1336]:=Group([(1,3,8)(2,14,5)(4,13,12)(6,11,9)]); # Design 1337: autom. group order 3, simple, residual B[1337]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,9,10,12],[1,3,5,8,12,13,14],[1,3,7,9,10,11,13],[1,4,6,7,8,12,13],[1,4,6,10,11,12,14],[1,4,8,9,11,13,14],[1,5,6,7,9,10,14],[1,5,7,8,9,11,12],[2,3,6,8,11,12,14],[2,3,7,9,11,12,13],[2,4,5,7,8,10,11],[2,4,5,9,12,13,14],[2,4,7,8,10,13,14],[2,5,6,9,10,12,13],[2,6,7,8,9,11,14],[3,4,5,6,9,11,14],[3,4,6,8,9,10,13],[3,4,7,9,10,12,14],[3,5,6,8,10,11,13],[3,5,7,8,10,12,14],[4,5,6,7,11,12,13]]; G[1337]:=Group([(1,9,14)(2,12,3)(4,13,8)(6,10,7)]); # Design 1338: autom. group order 3, simple, residual B[1338]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,7,10,13],[1,2,5,8,9,11,12],[1,2,6,11,12,13,14],[1,3,5,8,10,13,14],[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],[1,5,6,7,9,12,14],[1,5,7,8,10,11,14],[2,3,6,9,10,11,14],[2,3,8,9,12,13,14],[2,4,5,7,12,13,14],[2,4,5,9,10,13,14],[2,4,7,8,10,11,14],[2,5,6,7,8,11,13],[2,6,7,8,9,10,12],[3,4,5,6,11,12,14],[3,4,6,7,8,9,14],[3,4,7,8,11,12,13],[3,5,6,8,10,12,13],[3,5,7,9,10,11,12],[4,5,6,9,10,11,13]]; G[1338]:=Group([(1,4,10)(2,13,8)(3,9,14)(6,11,7)]); # Design 1339: autom. group order 3, simple, residual B[1339]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,11,12,14],[1,3,7,8,9,12,13],[1,4,6,7,11,13,14],[1,4,6,8,9,11,14],[1,4,7,8,9,10,13],[1,5,6,9,10,12,14],[1,5,7,10,11,12,13],[2,3,6,7,8,10,14],[2,3,7,9,11,13,14],[2,4,5,7,9,11,12],[2,4,5,9,10,13,14],[2,4,8,11,12,13,14],[2,5,6,7,8,12,13],[2,6,8,9,10,11,12],[3,4,5,6,12,13,14],[3,4,6,9,10,12,13],[3,4,7,8,10,12,14],[3,5,6,8,9,11,13],[3,5,7,9,10,11,14],[4,5,6,7,8,10,11]]; G[1339]:=Group([(1,3,14)(2,7,6)(4,10,9)(5,8,12)]); # Design 1340: autom. group order 3, simple B[1340]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,8,11,13],[1,3,5,8,12,13,14],[1,3,7,9,10,11,12],[1,4,6,7,9,11,14],[1,4,6,9,12,13,14],[1,4,7,8,10,12,14],[1,5,6,8,9,10,12],[1,5,7,8,9,11,13],[2,3,6,7,9,12,13],[2,3,8,9,11,12,14],[2,4,5,7,9,10,14],[2,4,5,9,11,12,13],[2,4,7,8,12,13,14],[2,5,6,7,8,10,12],[2,6,8,9,10,11,14],[3,4,5,6,8,11,14],[3,4,6,8,9,10,13],[3,4,7,8,10,11,13],[3,5,6,7,11,12,14],[3,5,7,9,10,13,14],[4,5,6,10,11,12,13]]; G[1340]:=Group([(1,5,8)(2,6,7)(3,12,13)(4,10,11)]); # Design 1341: autom. group order 3, simple, residual B[1341]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,10,11,14],[1,3,5,8,10,12,14],[1,3,7,9,11,12,13],[1,4,6,7,9,13,14],[1,4,6,9,10,12,14],[1,4,7,8,10,11,13],[1,5,6,8,11,12,13],[1,5,7,8,9,12,14],[2,3,6,9,11,12,14],[2,3,7,8,10,13,14],[2,4,5,7,12,13,14],[2,4,5,11,12,13,14],[2,4,7,8,9,10,12],[2,5,6,7,8,9,11],[2,6,8,9,10,12,13],[3,4,5,6,9,10,13],[3,4,6,7,8,11,12],[3,4,8,9,11,13,14],[3,5,6,7,10,12,13],[3,5,7,9,10,11,14],[4,5,6,8,10,11,14]]; G[1341]:=Group([(1,3,8)(2,14,5)(4,13,12)(6,10,9)]); # Design 1342: autom. group order 3, simple B[1342]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,8,9,12,14],[1,2,6,7,8,13,14],[1,3,5,9,10,13,14],[1,3,7,8,9,11,13],[1,4,6,7,9,12,13],[1,4,6,9,11,12,14],[1,4,8,10,11,13,14],[1,5,6,7,8,10,12],[1,5,7,10,11,12,14],[2,3,6,9,10,12,14],[2,3,7,8,11,12,14],[2,4,5,7,10,13,14],[2,4,5,8,11,12,13],[2,4,7,9,10,12,13],[2,5,6,9,11,13,14],[2,6,7,8,9,10,11],[3,4,5,6,7,11,14],[3,4,6,8,12,13,14],[3,4,7,8,9,10,14],[3,5,6,8,10,12,13],[3,5,7,9,11,12,13],[4,5,6,8,9,10,11]]; G[1342]:=Group([(1,6,7)(2,8,13)(3,10,9)(4,5,12)]); # Design 1343: autom. group order 3, simple, residual B[1343]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,8,10,13,14],[1,3,5,7,9,10,13],[1,3,7,8,9,11,14],[1,4,6,7,9,12,13],[1,4,6,9,11,12,13],[1,4,7,8,10,12,14],[1,5,6,8,9,11,14],[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],[2,4,7,8,9,13,14],[2,5,6,7,9,10,11],[2,6,7,8,9,10,12],[3,4,5,6,8,12,14],[3,4,6,7,8,10,11],[3,4,9,10,11,13,14],[3,5,6,7,12,13,14],[3,5,8,9,10,12,13],[4,5,6,8,10,11,13]]; G[1343]:=Group([(1,6,13)(2,14,10)(4,12,9)]); # Design 1344: autom. group order 3, simple, residual B[1344]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,9,11,13],[1,3,7,8,10,12,13],[1,4,6,8,9,12,13],[1,4,6,9,12,13,14],[1,4,7,8,10,11,14],[1,5,6,7,8,11,14],[1,5,7,9,10,12,14],[2,3,6,7,8,12,14],[2,3,8,9,11,12,14],[2,4,5,7,9,12,14],[2,4,5,8,10,13,14],[2,4,7,9,10,11,13],[2,5,6,7,10,12,13],[2,6,7,8,9,11,13],[3,4,5,6,11,13,14],[3,4,6,7,8,9,10],[3,4,7,11,12,13,14],[3,5,6,9,10,11,12],[3,5,8,9,10,13,14],[4,5,6,8,10,11,12]]; G[1344]:=Group([(1,12,13)(2,5,11)(3,10,7)(4,6,9)]); # Design 1345: autom. group order 3, simple, residual B[1345]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,9,11,13],[1,3,7,10,12,13,14],[1,4,6,8,9,12,13],[1,4,6,9,12,13,14],[1,4,7,8,10,11,14],[1,5,6,7,8,11,14],[1,5,7,8,9,10,12],[2,3,6,7,8,12,14],[2,3,8,9,11,12,14],[2,4,5,7,9,12,14],[2,4,5,8,10,13,14],[2,4,7,9,10,11,13],[2,5,6,7,10,12,13],[2,6,7,8,9,11,13],[3,4,5,6,11,13,14],[3,4,6,7,9,10,14],[3,4,7,8,11,12,13],[3,5,6,9,10,11,12],[3,5,8,9,10,13,14],[4,5,6,8,10,11,12]]; G[1345]:=Group([(1,12,13)(2,5,11)(3,10,7)(4,6,9)]); # Design 1346: autom. group order 3, simple, residual B[1346]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,11,12,14],[1,3,8,9,11,12,13],[1,4,6,7,8,12,14],[1,4,6,7,9,11,13],[1,4,7,9,10,13,14],[1,5,6,8,9,10,14],[1,5,7,8,10,12,13],[2,3,6,7,8,13,14],[2,3,7,9,12,13,14],[2,4,5,7,10,12,13],[2,4,5,8,11,13,14],[2,4,8,9,10,12,14],[2,5,6,7,9,10,11],[2,6,7,8,9,11,12],[3,4,5,6,9,12,14],[3,4,6,10,11,13,14],[3,4,7,8,9,10,11],[3,5,6,9,10,12,13],[3,5,7,8,10,11,14],[4,5,6,8,11,12,13]]; G[1346]:=Group([(1,9,12)(2,7,5)(3,11,13)(4,6,10)]); # Design 1347: autom. group order 3, simple, residual B[1347]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,12,14],[1,2,6,7,9,11,13],[1,3,5,7,10,13,14],[1,3,9,11,12,13,14],[1,4,6,8,10,11,14],[1,4,6,8,12,13,14],[1,4,7,8,9,12,13],[1,5,6,9,10,11,14],[1,5,7,8,9,10,12],[2,3,7,8,11,13,14],[2,3,8,9,10,12,14],[2,4,5,6,12,13,14],[2,4,5,8,9,11,14],[2,4,7,9,10,13,14],[2,5,6,9,10,12,13],[2,6,7,8,10,11,12],[3,4,5,10,11,12,13],[3,4,6,7,9,10,14],[3,4,6,7,9,11,12],[3,5,6,7,8,12,14],[3,5,6,8,9,11,13],[4,5,7,8,10,11,13]]; G[1347]:=Group([(1,6,12)(2,7,11)(5,9,10)(8,14,13)]); # Design 1348: autom. group order 3, simple, residual B[1348]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,8,9,12],[1,3,5,8,12,13,14],[1,3,7,9,11,13,14],[1,4,6,8,9,10,14],[1,4,6,11,12,13,14],[1,4,7,8,10,12,14],[1,5,6,8,9,11,13],[1,5,7,9,10,11,12],[2,3,7,8,11,12,14],[2,3,8,9,10,13,14],[2,4,5,6,12,13,14],[2,4,5,9,10,11,14],[2,4,8,9,11,12,13],[2,5,6,7,8,11,14],[2,6,7,9,10,12,13],[3,4,5,7,9,12,13],[3,4,6,7,8,10,13],[3,4,6,7,9,11,14],[3,5,6,8,10,11,12],[3,5,6,9,10,12,14],[4,5,7,8,10,11,13]]; G[1348]:=Group([(1,8,11)(2,10,14)(3,4,7)(5,13,9)]); # Design 1349: autom. group order 3, simple, residual B[1349]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,12,13,14],[1,3,7,9,10,11,12],[1,4,6,7,8,12,14],[1,4,6,8,11,12,14],[1,4,7,8,9,10,13],[1,5,6,9,11,12,13],[1,5,8,9,10,11,14],[2,3,7,8,9,11,14],[2,3,8,11,12,13,14],[2,4,5,6,9,11,14],[2,4,5,8,10,12,13],[2,4,7,9,10,12,14],[2,5,6,7,10,11,12],[2,6,7,8,9,12,13],[3,4,5,9,12,13,14],[3,4,6,7,9,11,13],[3,4,6,8,10,11,13],[3,5,6,7,8,10,14],[3,5,6,8,9,10,12],[4,5,7,10,11,13,14]]; G[1349]:=Group([(1,6,14)(2,10,13)(4,8,12)]); # Design 1350: autom. group order 3, simple, residual B[1350]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,7,8,10,11,14],[1,4,6,7,9,10,11],[1,4,6,11,12,13,14],[1,4,7,8,9,13,14],[1,5,6,9,11,12,13],[1,5,8,9,10,12,14],[2,3,7,9,11,13,14],[2,3,8,9,11,12,13],[2,4,5,6,8,13,14],[2,4,5,7,11,12,14],[2,4,7,9,10,12,13],[2,5,6,9,10,11,14],[2,6,7,8,10,12,14],[3,4,5,9,10,12,14],[3,4,6,8,9,11,14],[3,4,6,8,10,12,13],[3,5,6,7,8,11,12],[3,5,6,7,9,10,13],[4,5,7,8,10,11,13]]; G[1350]:=Group([(1,8,9)(2,12,5)(3,6,10)(4,7,14)]); # Design 1351: autom. group order 3, simple, residual B[1351]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,7,8,12,13],[1,3,5,9,12,13,14],[1,3,7,8,9,11,14],[1,4,6,7,9,10,12],[1,4,6,9,11,13,14],[1,4,7,8,11,12,14],[1,5,6,8,9,10,11],[1,5,7,10,12,13,14],[2,3,7,8,9,12,13],[2,3,9,10,11,12,14],[2,4,5,6,9,12,14],[2,4,5,7,11,13,14],[2,4,7,9,10,11,13],[2,5,6,8,11,12,14],[2,6,7,8,9,10,14],[3,4,5,7,8,10,14],[3,4,6,8,10,13,14],[3,4,6,8,11,12,13],[3,5,6,7,9,11,13],[3,5,6,7,10,11,12],[4,5,8,9,10,12,13]]; G[1351]:=Group([(1,7,12)(2,5,11)(4,6,10)(8,13,14)]); # Design 1352: autom. group order 3, simple B[1352]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,8,12,13,14],[1,3,7,9,11,13,14],[1,4,6,7,10,12,13],[1,4,6,9,11,13,14],[1,4,7,8,9,11,12],[1,5,6,8,9,10,11],[1,5,7,9,10,12,14],[2,3,7,8,9,12,13],[2,3,9,10,11,12,14],[2,4,5,6,9,12,14],[2,4,5,7,11,13,14],[2,4,7,8,10,11,14],[2,5,6,9,11,12,13],[2,6,7,8,9,10,13],[3,4,5,7,9,10,13],[3,4,6,8,9,10,14],[3,4,6,8,11,12,13],[3,5,6,7,8,11,14],[3,5,6,7,10,11,12],[4,5,8,10,12,13,14]]; G[1352]:=Group([(1,7,12)(2,5,11)(4,6,10)(8,14,9)]); # Design 1353: autom. group order 3, simple, residual B[1353]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,12,13,14],[1,3,5,9,12,13,14],[1,3,7,8,9,11,14],[1,4,6,7,9,10,12],[1,4,6,9,11,13,14],[1,4,7,8,11,12,13],[1,5,6,8,9,10,11],[1,5,7,8,10,12,14],[2,3,7,8,9,12,13],[2,3,9,10,11,12,14],[2,4,5,6,9,12,14],[2,4,5,7,8,11,14],[2,4,7,9,10,11,13],[2,5,6,8,11,12,13],[2,6,7,8,9,10,14],[3,4,5,7,10,13,14],[3,4,6,8,10,13,14],[3,4,6,8,11,12,14],[3,5,6,7,9,11,13],[3,5,6,7,10,11,12],[4,5,8,9,10,12,13]]; G[1353]:=Group([(1,7,12)(2,5,11)(4,6,10)(8,13,14)]); # Design 1354: autom. group order 3, simple, residual B[1354]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,12],[1,2,6,7,8,9,13],[1,3,5,9,11,13,14],[1,3,7,8,12,13,14],[1,4,6,8,11,12,13],[1,4,6,9,10,11,14],[1,4,7,9,10,12,13],[1,5,6,7,8,11,14],[1,5,7,9,10,12,14],[2,3,7,8,10,11,14],[2,3,7,9,11,12,13],[2,4,5,6,12,13,14],[2,4,5,7,10,13,14],[2,4,8,9,11,13,14],[2,5,6,7,9,11,12],[2,6,8,9,10,12,14],[3,4,5,8,9,12,14],[3,4,6,7,8,9,10],[3,4,6,7,11,12,14],[3,5,6,8,10,12,13],[3,5,6,9,10,11,13],[4,5,7,8,10,11,13]]; G[1354]:=Group([(1,7,11)(2,10,9)(3,4,13)(6,8,14)]); # Design 1355: autom. group order 3, simple, residual B[1355]:=[[1,2,3,4,5,6,7],[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],[1,2,6,9,10,11,14],[1,3,5,7,12,13,14],[1,3,8,9,10,13,14],[1,4,6,8,11,12,13],[1,4,7,9,10,12,14],[1,4,7,9,11,12,13],[1,5,6,7,8,9,11],[1,5,6,8,10,12,14],[2,3,6,9,11,12,14],[2,3,7,8,11,12,14],[2,4,5,6,12,13,14],[2,4,5,8,9,10,12],[2,4,7,8,10,13,14],[2,5,7,9,10,11,13],[2,6,7,8,9,12,13],[3,4,5,9,11,13,14],[3,4,6,7,8,9,14],[3,4,6,8,10,11,13],[3,5,6,9,10,12,13],[3,5,7,8,10,11,12],[4,5,6,7,10,11,14]]; G[1355]:=Group([(1,3,12)(2,11,4)(5,14,13)(6,8,9)]); # Design 1356: autom. group order 3, simple, residual B[1356]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,12,13,14],[1,3,7,8,9,10,11],[1,4,6,9,11,13,14],[1,4,7,8,9,12,13],[1,4,7,10,11,12,14],[1,5,6,7,8,10,14],[1,5,6,8,9,11,12],[2,3,6,8,11,12,13],[2,3,7,9,11,12,14],[2,4,5,6,9,10,11],[2,4,5,7,8,12,14],[2,4,8,9,10,13,14],[2,5,7,9,10,12,13],[2,6,7,8,9,11,14],[3,4,5,8,11,13,14],[3,4,6,7,9,10,13],[3,4,6,8,10,12,14],[3,5,6,9,10,12,14],[3,5,7,8,10,11,13],[4,5,6,7,11,12,13]]; G[1356]:=Group([(1,8,14)(2,11,12)(4,13,9)(6,7,10)]); # Design 1357: autom. group order 3, simple, residual B[1357]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,7,8,9,11,14],[1,4,6,8,9,13,14],[1,4,7,10,11,12,14],[1,4,8,9,10,12,13],[1,5,6,7,8,10,12],[1,5,6,9,10,11,13],[2,3,6,8,9,11,12],[2,3,7,9,10,12,13],[2,4,5,6,12,13,14],[2,4,5,8,10,11,14],[2,4,7,9,11,13,14],[2,5,8,9,10,12,14],[2,6,7,8,10,11,13],[3,4,5,7,9,10,13],[3,4,6,7,8,10,14],[3,4,6,8,11,12,13],[3,5,6,9,10,11,14],[3,5,7,8,12,13,14],[4,5,6,7,9,11,12]]; G[1357]:=Group([(2,9,12)(3,8,10)(5,13,11)(6,14,7)]); # Design 1358: autom. group order 3, simple, residual B[1358]:=[[1,2,3,4,5,6,7],[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],[1,3,7,8,10,12,14],[1,4,6,7,8,9,13],[1,4,7,11,12,13,14],[1,4,8,9,10,11,14],[1,5,6,7,9,11,12],[1,5,6,8,10,12,14],[2,3,6,9,11,12,14],[2,3,7,8,11,12,13],[2,4,5,6,10,11,14],[2,4,5,8,12,13,14],[2,4,7,9,10,13,14],[2,5,7,8,9,10,12],[2,6,7,8,9,11,14],[3,4,5,7,9,12,14],[3,4,6,7,8,10,11],[3,4,6,9,10,12,13],[3,5,6,7,10,13,14],[3,5,8,9,10,11,13],[4,5,6,8,11,12,13]]; G[1358]:=Group([(1,2,14)(3,6,8)(4,11,10)(5,9,12)]); # Design 1359: autom. group order 3, simple, residual B[1359]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,8,12,13,14],[1,3,7,9,10,13,14],[1,4,6,9,11,12,13],[1,4,7,8,11,12,13],[1,4,8,9,10,12,14],[1,5,6,7,8,9,11],[1,5,6,7,10,12,14],[2,3,6,8,11,12,14],[2,3,7,9,11,12,14],[2,4,5,6,12,13,14],[2,4,5,7,9,10,12],[2,4,7,8,10,13,14],[2,5,8,9,10,11,13],[2,6,7,8,9,12,13],[3,4,5,9,11,13,14],[3,4,6,7,8,9,14],[3,4,6,7,10,11,13],[3,5,6,9,10,12,13],[3,5,7,8,10,11,12],[4,5,6,8,10,11,14]]; G[1359]:=Group([(1,3,12)(2,11,4)(5,14,13)(6,7,9)]); # Design 1360: autom. group order 3, simple, residual B[1360]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,10,11,14],[1,3,5,8,12,13,14],[1,3,7,9,10,13,14],[1,4,6,8,11,12,13],[1,4,7,8,10,12,14],[1,4,7,9,11,12,13],[1,5,6,7,8,9,11],[1,5,6,9,10,12,14],[2,3,6,9,11,12,14],[2,3,7,8,11,12,14],[2,4,5,6,12,13,14],[2,4,5,7,9,10,12],[2,4,8,9,10,13,14],[2,5,7,8,10,11,13],[2,6,7,8,9,12,13],[3,4,5,7,11,13,14],[3,4,6,7,8,9,14],[3,4,6,9,10,11,13],[3,5,6,7,10,12,13],[3,5,8,9,10,11,12],[4,5,6,8,10,11,14]]; G[1360]:=Group([(1,3,12)(2,11,4)(5,14,13)(6,9,7)]); # Design 1361: autom. group order 3, simple B[1361]:=[[1,2,3,4,5,6,7],[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],[1,2,6,9,10,12,14],[1,3,5,7,8,10,14],[1,3,7,9,11,13,14],[1,4,6,8,11,12,14],[1,4,7,8,10,11,13],[1,4,7,9,12,13,14],[1,5,6,7,10,11,12],[1,5,6,8,9,12,13],[2,3,6,7,9,11,12],[2,3,7,8,11,12,13],[2,4,5,6,11,13,14],[2,4,5,7,12,13,14],[2,4,8,9,10,11,14],[2,5,7,8,10,12,14],[2,6,7,8,9,10,13],[3,4,5,9,10,12,13],[3,4,6,7,9,10,14],[3,4,6,8,10,12,13],[3,5,6,10,11,13,14],[3,5,8,9,11,12,14],[4,5,6,7,8,9,11]]; G[1361]:=Group([(1,10,11)(2,4,12)(5,13,7)(6,9,8)]); # Design 1362: autom. group order 3, simple, residual B[1362]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,12,13,14],[1,3,7,8,9,10,14],[1,4,6,7,8,11,14],[1,4,7,8,9,12,13],[1,4,9,10,11,12,14],[1,5,6,7,9,10,13],[1,5,6,7,10,11,12],[2,3,6,7,9,11,12],[2,3,7,8,10,12,14],[2,4,5,6,9,12,14],[2,4,5,7,10,13,14],[2,4,7,9,10,11,13],[2,5,7,8,9,11,14],[2,6,8,9,10,12,13],[3,4,5,8,10,11,13],[3,4,6,7,8,12,13],[3,4,6,9,11,13,14],[3,5,6,8,9,10,11],[3,5,7,11,12,13,14],[4,5,6,8,10,12,14]]; G[1362]:=Group([(2,6,11)(3,7,12)(4,5,10)(8,13,14)]); # Design 1363: autom. group order 3, simple, residual B[1363]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,12,13,14],[1,3,7,8,9,10,14],[1,4,6,7,8,11,14],[1,4,7,8,9,12,13],[1,4,9,10,11,12,14],[1,5,6,7,9,10,13],[1,5,6,7,10,11,12],[2,3,6,7,9,11,12],[2,3,7,8,10,12,13],[2,4,5,6,9,12,14],[2,4,5,7,8,10,14],[2,4,7,9,10,11,13],[2,5,7,9,11,13,14],[2,6,8,9,10,12,14],[3,4,5,10,11,13,14],[3,4,6,7,12,13,14],[3,4,6,8,9,11,13],[3,5,6,8,9,10,11],[3,5,7,8,11,12,14],[4,5,6,8,10,12,13]]; G[1363]:=Group([(2,6,11)(3,7,12)(4,5,10)(8,13,14)]); # Design 1364: autom. group order 3, simple, residual B[1364]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,9,11,13],[1,3,9,10,12,13,14],[1,4,6,8,9,10,11],[1,4,7,8,12,13,14],[1,4,7,9,10,11,14],[1,5,6,7,9,12,14],[1,5,6,8,11,12,13],[2,3,6,9,11,12,13],[2,3,7,8,9,12,14],[2,4,5,7,10,12,13],[2,4,5,9,11,12,14],[2,4,6,7,11,13,14],[2,5,6,8,9,10,14],[2,7,8,9,10,11,13],[3,4,5,8,10,13,14],[3,4,6,7,8,9,13],[3,4,6,8,11,12,14],[3,5,6,7,10,11,14],[3,5,7,8,10,11,12],[4,5,6,9,10,12,13]]; G[1364]:=Group([(1,5,10)(2,7,14)(4,11,13)(8,12,9)]); # Design 1365: autom. group order 3, simple, residual B[1365]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,9,11,14],[1,3,8,10,12,13,14],[1,4,6,7,8,12,14],[1,4,7,9,10,11,13],[1,4,7,9,12,13,14],[1,5,6,7,8,10,12],[1,5,6,9,10,11,13],[2,3,6,7,9,12,13],[2,3,7,8,11,13,14],[2,4,5,7,8,10,13],[2,4,5,9,12,13,14],[2,4,6,7,10,11,14],[2,5,6,9,10,12,14],[2,7,8,9,10,11,12],[3,4,5,10,11,12,14],[3,4,6,8,9,10,13],[3,4,6,8,9,11,12],[3,5,6,7,11,12,13],[3,5,7,8,9,10,14],[4,5,6,8,11,13,14]]; G[1365]:=Group([(1,9,12)(2,8,11)(5,6,10)(7,13,14)]); # Design 1366: autom. group order 3, simple, residual B[1366]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,12,13,14],[1,3,7,8,9,10,13],[1,4,6,7,9,11,13],[1,4,7,8,12,13,14],[1,4,9,10,11,12,14],[1,5,6,7,8,10,14],[1,5,6,7,10,11,12],[2,3,6,7,11,12,13],[2,3,7,9,10,12,14],[2,4,5,7,9,11,14],[2,4,5,7,10,13,14],[2,4,6,8,12,13,14],[2,5,6,8,9,10,12],[2,7,8,9,10,11,13],[3,4,5,8,10,11,13],[3,4,6,7,8,9,12],[3,4,6,8,10,11,14],[3,5,6,9,11,13,14],[3,5,7,8,11,12,14],[4,5,6,9,10,12,13]]; G[1366]:=Group([(2,6,11)(3,7,12)(4,5,10)(8,14,9)]); # Design 1367: autom. group order 3, simple, residual B[1367]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,6,8,11,13,14],[1,3,5,7,8,10,14],[1,3,7,8,9,12,13],[1,4,6,9,11,12,14],[1,4,7,8,11,12,14],[1,4,7,9,10,13,14],[1,5,6,8,9,10,11],[1,5,6,9,10,12,13],[2,3,6,7,9,11,14],[2,3,8,9,12,13,14],[2,4,5,8,9,11,13],[2,4,5,10,12,13,14],[2,4,6,7,8,10,12],[2,5,7,9,10,11,14],[2,6,7,8,9,10,12],[3,4,5,6,9,12,14],[3,4,6,8,10,11,13],[3,4,7,9,10,11,13],[3,5,6,7,11,12,13],[3,5,8,10,11,12,14],[4,5,6,7,8,13,14]]; G[1367]:=Group([(1,3,11)(2,10,12)(5,13,14)(6,8,7)]); # Design 1368: autom. group order 3, simple, residual B[1368]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,8,9,12,14],[1,3,9,10,11,12,14],[1,4,6,8,10,13,14],[1,4,7,8,9,11,13],[1,4,7,9,10,12,13],[1,5,6,7,8,12,14],[1,5,6,7,10,11,12],[2,3,6,7,9,12,13],[2,3,7,8,10,11,14],[2,4,5,7,9,10,14],[2,4,5,10,12,13,14],[2,4,6,8,11,12,14],[2,5,8,9,11,12,13],[2,6,7,8,9,10,12],[3,4,5,6,11,12,13],[3,4,6,7,9,11,14],[3,4,7,8,12,13,14],[3,5,6,9,10,13,14],[3,5,7,8,10,11,13],[4,5,6,8,9,10,11]]; G[1368]:=Group([(2,7,10)(3,5,12)(4,6,11)(8,14,9)]); # Design 1369: autom. group order 3, simple, residual B[1369]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,7,8,9,12,13],[1,4,6,8,11,12,14],[1,4,7,9,11,12,14],[1,4,8,9,10,13,14],[1,5,6,7,9,10,11],[1,5,6,9,10,12,13],[2,3,6,8,9,11,14],[2,3,7,9,12,13,14],[2,4,5,7,9,11,13],[2,4,5,10,12,13,14],[2,4,6,7,8,10,12],[2,5,8,9,10,11,14],[2,6,7,8,9,10,12],[3,4,5,6,9,12,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,13],[3,5,6,8,11,12,13],[3,5,7,10,11,12,14],[4,5,6,7,8,13,14]]; G[1369]:=Group([(1,3,11)(2,10,12)(5,13,14)(6,7,8)]); # Design 1370: autom. group order 3, simple, residual B[1370]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,13,14],[1,2,6,7,11,12,14],[1,3,5,11,12,13,14],[1,3,7,8,9,11,13],[1,4,6,8,12,13,14],[1,4,7,9,10,12,13],[1,4,8,9,10,11,14],[1,5,6,7,8,9,14],[1,5,6,9,10,11,12],[2,3,7,9,10,11,14],[2,3,8,9,12,13,14],[2,4,5,6,9,11,13],[2,4,5,8,10,12,14],[2,4,6,9,11,13,14],[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],[3,4,6,7,10,13,14],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13],[4,5,7,8,10,11,13]]; G[1370]:=Group([(1,8,12)(2,11,9)(3,7,10)(4,13,6)]); # Design 1371: autom. group order 3, simple B[1371]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,10,12,13],[1,3,7,8,9,12,14],[1,4,6,8,9,13,14],[1,4,7,10,11,12,14],[1,4,8,9,10,11,13],[1,5,6,7,9,10,11],[1,5,6,8,11,12,14],[2,3,7,8,9,11,12],[2,3,8,10,11,13,14],[2,4,5,7,8,10,14],[2,4,5,9,12,13,14],[2,4,6,9,11,12,14],[2,5,6,8,9,10,11],[2,6,7,9,10,12,13],[3,4,5,6,11,12,13],[3,4,6,7,8,11,13],[3,4,6,7,9,10,14],[3,5,6,8,10,12,14],[3,5,7,9,11,13,14],[4,5,7,8,10,12,13]]; G[1371]:=Group([(2,8,11)(3,9,10)(5,13,12)(6,14,7)]); # Design 1372: autom. group order 3, simple, residual B[1372]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,4,6,8,9,13,14],[1,4,7,10,11,12,14],[1,4,8,9,10,11,13],[1,5,6,7,8,10,11],[1,5,6,7,12,13,14],[2,3,7,8,10,12,13],[2,3,7,9,11,13,14],[2,4,5,7,9,10,14],[2,4,5,8,12,13,14],[2,4,6,8,11,12,14],[2,5,6,9,10,11,14],[2,6,7,8,9,11,12],[3,4,5,6,11,12,13],[3,4,6,7,8,10,14],[3,4,6,7,9,11,13],[3,5,6,8,9,10,12],[3,5,8,10,11,13,14],[4,5,7,9,10,12,13]]; G[1372]:=Group([(2,9,11)(3,8,10)(5,13,12)(6,14,7)]); # Design 1373: autom. group order 3, simple, residual B[1373]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,10,13,14],[1,3,7,8,11,12,14],[1,4,6,8,10,12,14],[1,4,7,8,9,12,13],[1,4,9,10,11,13,14],[1,5,6,7,8,10,11],[1,5,6,7,9,12,13],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,7,10,12,14],[2,4,5,8,12,13,14],[2,4,6,8,9,11,13],[2,5,6,9,10,11,12],[2,6,7,8,10,13,14],[3,4,5,6,11,13,14],[3,4,6,7,9,10,14],[3,4,6,7,11,12,13],[3,5,6,8,9,12,14],[3,5,8,10,11,12,13],[4,5,7,8,9,10,11]]; G[1373]:=Group([(1,5,7)(2,11,13)(3,10,12)(4,8,9)]); # Design 1374: autom. group order 3, simple, residual B[1374]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,6,9,11,14],[1,3,7,9,11,12,14],[1,4,6,7,8,11,12],[1,4,6,8,10,12,14],[1,4,7,8,9,10,13],[1,5,6,9,10,12,13],[1,5,8,11,12,13,14],[2,3,6,7,8,12,13],[2,3,8,9,10,12,14],[2,4,5,8,10,11,14],[2,4,5,9,11,12,13],[2,4,6,9,12,13,14],[2,5,6,7,10,11,12],[2,6,7,8,9,11,14],[3,4,5,7,12,13,14],[3,4,6,8,9,11,13],[3,4,7,10,11,13,14],[3,5,6,8,10,11,13],[3,5,7,8,9,10,12],[4,5,6,7,9,10,14]]; G[1374]:=Group([(1,3,13)(2,6,10)(4,8,9)(5,11,7)]); # Design 1375: autom. group order 3, simple B[1375]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,11,12,14],[1,3,5,6,10,11,14],[1,3,7,8,9,11,13],[1,4,6,8,9,12,14],[1,4,6,8,10,12,13],[1,4,9,10,11,13,14],[1,5,6,7,11,12,14],[1,5,7,8,10,12,13],[2,3,6,9,11,12,13],[2,3,7,8,10,12,14],[2,4,5,8,10,11,14],[2,4,5,9,12,13,14],[2,4,6,7,10,11,13],[2,5,6,8,11,12,13],[2,6,7,8,9,10,14],[3,4,5,7,12,13,14],[3,4,6,7,9,10,12],[3,4,7,8,11,13,14],[3,5,6,9,10,13,14],[3,5,8,9,10,11,12],[4,5,6,7,8,9,11]]; G[1375]:=Group([(1,13,14)(3,6,8)(4,11,10)(5,12,7)]); # Design 1376: autom. group order 3, simple, residual B[1376]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,9,13,14],[1,2,7,9,11,12,13],[1,3,5,6,11,13,14],[1,3,8,9,12,13,14],[1,4,6,7,9,10,14],[1,4,6,9,10,12,14],[1,4,7,8,10,11,13],[1,5,6,8,11,12,14],[1,5,7,8,10,11,12],[2,3,6,7,11,12,14],[2,3,8,9,10,11,14],[2,4,5,7,8,12,14],[2,4,5,10,11,13,14],[2,4,6,9,11,12,13],[2,5,6,8,9,10,12],[2,6,7,8,10,13,14],[3,4,5,10,12,13,14],[3,4,6,7,8,12,13],[3,4,7,8,9,11,14],[3,5,6,7,9,10,11],[3,5,7,9,10,12,13],[4,5,6,8,9,11,13]]; G[1376]:=Group([(1,9,10)(2,3,8)(4,14,6)(5,11,13)]); # Design 1377: autom. group order 3, simple, residual B[1377]:=[[1,2,3,4,5,6,7],[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],[1,2,9,10,12,13,14],[1,3,5,6,12,13,14],[1,3,8,9,11,12,14],[1,4,6,7,9,10,12],[1,4,6,8,11,13,14],[1,4,7,8,9,12,13],[1,5,6,7,9,11,13],[1,5,7,8,10,11,14],[2,3,6,7,8,12,14],[2,3,7,9,11,13,14],[2,4,5,8,11,12,13],[2,4,5,9,10,13,14],[2,4,6,7,9,11,14],[2,5,6,8,9,11,12],[2,6,7,8,10,12,13],[3,4,5,7,12,13,14],[3,4,6,8,9,10,14],[3,4,7,8,10,11,13],[3,5,6,8,9,10,13],[3,5,7,9,10,11,12],[4,5,6,10,11,12,14]]; G[1377]:=Group([(1,8,14)(3,12,9)(4,6,13)(5,7,10)]); # Design 1378: autom. group order 3, simple B[1378]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,7,8,9,12,13],[1,4,6,7,8,13,14],[1,4,6,7,11,12,13],[1,4,9,10,11,12,14],[1,5,6,7,9,10,12],[1,5,8,9,10,13,14],[2,3,6,9,12,13,14],[2,3,7,9,10,11,13],[2,4,5,7,9,12,14],[2,4,5,7,10,13,14],[2,4,6,8,9,11,13],[2,5,6,8,11,12,14],[2,6,7,8,9,10,12],[3,4,5,8,10,12,13],[3,4,6,8,10,12,14],[3,4,7,8,9,11,14],[3,5,6,7,8,10,11],[3,5,7,11,12,13,14],[4,5,6,9,10,11,13]]; G[1378]:=Group([(2,6,12)(3,7,11)(5,13,10)(8,14,9)]); # Design 1379: autom. group order 3, simple, residual B[1379]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,6,9,12,14],[1,3,7,8,9,11,13],[1,4,6,7,8,13,14],[1,4,6,7,10,12,13],[1,4,8,10,11,12,14],[1,5,6,8,9,10,12],[1,5,7,9,10,11,14],[2,3,6,7,8,11,12],[2,3,9,10,12,13,14],[2,4,5,7,9,10,13],[2,4,5,8,12,13,14],[2,4,6,8,9,10,11],[2,5,6,7,11,12,14],[2,6,7,8,9,10,14],[3,4,5,7,10,11,14],[3,4,6,9,11,13,14],[3,4,7,8,9,12,14],[3,5,6,8,10,11,13],[3,5,7,8,10,12,13],[4,5,6,9,11,12,13]]; G[1379]:=Group([(1,6,11)(2,10,5)(3,8,14)(4,9,7)]); # Design 1380: autom. group order 3, simple, residual B[1380]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,6,11,12,14],[1,3,7,8,9,11,14],[1,4,6,7,8,10,13],[1,4,6,7,12,13,14],[1,4,8,9,10,12,14],[1,5,6,8,9,10,12],[1,5,7,9,11,12,13],[2,3,6,7,8,9,12],[2,3,9,10,12,13,14],[2,4,5,7,10,11,12],[2,4,5,8,12,13,14],[2,4,6,8,9,11,13],[2,5,6,7,9,10,14],[2,6,7,8,11,12,14],[3,4,5,7,9,13,14],[3,4,6,9,11,12,13],[3,4,7,8,10,11,14],[3,5,6,8,10,11,13],[3,5,7,8,10,12,13],[4,5,6,9,10,11,14]]; G[1380]:=Group([(1,6,11)(2,10,8)(3,5,14)(4,9,7)]); # Design 1381: autom. group order 3, simple, residual B[1381]:=[[1,2,3,4,5,6,7],[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],[1,3,5,6,9,13,14],[1,3,7,8,10,12,14],[1,4,6,7,9,11,14],[1,4,6,7,12,13,14],[1,4,8,9,11,12,13],[1,5,6,9,10,11,12],[1,5,7,8,10,11,13],[2,3,6,7,8,9,12],[2,3,9,11,12,13,14],[2,4,5,7,11,12,14],[2,4,5,9,10,13,14],[2,4,6,8,10,11,14],[2,5,6,7,8,11,13],[2,6,7,9,10,12,13],[3,4,5,7,10,12,13],[3,4,6,8,10,13,14],[3,4,7,8,9,11,13],[3,5,6,8,11,12,14],[3,5,7,9,10,11,14],[4,5,6,8,9,10,12]]; G[1381]:=Group([(1,6,8)(2,9,11)(3,12,13)(4,10,7)]); # Design 1382: autom. group order 3, simple, residual B[1382]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,10,12,13],[1,3,5,6,12,13,14],[1,3,7,9,10,11,14],[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],[1,5,7,8,9,10,14],[2,3,6,9,11,12,14],[2,3,7,8,11,12,14],[2,4,5,7,10,12,14],[2,4,5,8,11,13,14],[2,4,6,8,9,10,14],[2,5,6,7,10,11,13],[2,6,7,8,9,12,13],[3,4,5,7,9,12,13],[3,4,6,9,10,13,14],[3,4,7,8,10,11,13],[3,5,6,7,8,9,11],[3,5,8,10,12,13,14],[4,5,6,9,10,11,12]]; G[1382]:=Group([(1,6,9)(2,5,12)(3,11,13)(4,10,7)]); # Design 1383: autom. group order 3, simple, residual B[1383]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,6,9,11,12],[1,3,7,8,11,12,14],[1,4,6,7,12,13,14],[1,4,6,8,9,11,13],[1,4,7,8,9,10,14],[1,5,6,8,10,12,13],[1,5,7,9,10,11,14],[2,3,6,7,8,9,14],[2,3,7,8,10,11,13],[2,4,5,7,8,12,13],[2,4,5,9,10,12,14],[2,4,6,9,11,13,14],[2,5,6,7,11,12,14],[2,6,8,9,10,11,12],[3,4,5,10,11,13,14],[3,4,6,8,10,12,14],[3,4,7,9,11,12,13],[3,5,6,7,9,10,13],[3,5,8,9,12,13,14],[4,5,6,7,8,10,11]]; G[1383]:=Group([(1,4,9)(2,11,7)(3,13,10)(5,6,14)]); # Design 1384: autom. group order 3, simple B[1384]:=[[1,2,3,4,5,6,7],[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],[1,3,5,6,12,13,14],[1,3,7,8,9,11,14],[1,4,6,7,9,11,13],[1,4,6,9,11,12,13],[1,4,8,9,10,12,14],[1,5,6,7,8,12,14],[1,5,7,8,10,11,13],[2,3,6,8,9,11,14],[2,3,7,11,12,13,14],[2,4,5,7,8,11,12],[2,4,5,7,9,13,14],[2,4,6,8,12,13,14],[2,5,6,9,10,11,12],[2,6,7,8,9,10,13],[3,4,5,9,10,13,14],[3,4,6,7,10,11,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,12],[3,5,8,9,11,12,13],[4,5,6,8,10,11,14]]; G[1384]:=Group([(1,6,9)(2,8,3)(4,13,11)(5,10,14)]); # Design 1385: autom. group order 3, simple, residual B[1385]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,6,11,13,14],[1,3,7,8,9,12,14],[1,4,6,7,8,10,13],[1,4,7,9,10,13,14],[1,4,9,11,12,13,14],[1,5,6,7,9,11,12],[1,5,6,8,10,12,14],[2,3,6,7,9,12,14],[2,3,7,8,11,13,14],[2,4,5,7,9,10,14],[2,4,5,8,12,13,14],[2,4,6,7,11,12,13],[2,5,6,9,10,12,13],[2,6,8,9,10,11,14],[3,4,5,10,11,12,14],[3,4,6,8,9,10,11],[3,4,6,8,9,12,13],[3,5,7,8,10,12,13],[3,5,7,9,10,11,13],[4,5,6,7,8,11,14]]; G[1385]:=Group([(1,9,10)(2,8,11)(5,6,12)(7,13,14)]); # Design 1386: autom. group order 3, simple B[1386]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,7,9,10,11,14],[1,3,5,6,8,12,14],[1,3,7,9,11,12,13],[1,4,6,8,9,11,13],[1,4,7,8,9,12,14],[1,4,7,8,10,13,14],[1,5,6,7,11,12,13],[1,5,6,9,10,12,14],[2,3,6,7,9,13,14],[2,3,7,8,11,12,14],[2,4,5,9,12,13,14],[2,4,5,11,12,13,14],[2,4,6,7,8,10,12],[2,5,6,7,8,9,11],[2,6,8,9,10,12,13],[3,4,5,7,9,10,13],[3,4,6,8,11,13,14],[3,4,6,9,10,11,12],[3,5,7,8,10,12,13],[3,5,8,9,10,11,14],[4,5,6,7,10,11,14]]; G[1386]:=Group([(1,3,6)(2,14,5)(4,13,12)(7,10,8)]); # Design 1387: autom. group order 3, simple B[1387]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,11,13,14],[1,3,5,9,10,13,14],[1,3,6,7,8,11,14],[1,4,6,7,9,12,13],[1,4,6,8,12,13,14],[1,4,6,9,10,11,14],[1,5,7,8,9,10,12],[1,5,7,8,10,11,12],[2,3,6,7,10,12,14],[2,3,8,9,11,12,14],[2,4,5,6,9,11,12],[2,4,5,7,8,13,14],[2,4,7,8,9,10,14],[2,5,6,7,10,11,13],[2,6,8,9,10,12,13],[3,4,5,10,12,13,14],[3,4,7,8,11,12,13],[3,4,7,9,10,11,13],[3,5,6,7,9,12,14],[3,5,6,8,9,11,13],[4,5,6,8,10,11,14]]; G[1387]:=Group([(1,7,10)(2,3,6)(4,14,13)(5,12,8)]); # Design 1388: autom. group order 3, simple, residual B[1388]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,9,12,14],[1,3,6,9,12,13,14],[1,4,6,7,8,12,13],[1,4,6,9,10,11,13],[1,4,7,9,10,11,14],[1,5,6,7,8,10,12],[1,5,8,10,11,12,14],[2,3,6,8,9,11,12],[2,3,7,8,10,13,14],[2,4,5,6,7,11,14],[2,4,5,9,10,12,13],[2,4,6,8,10,12,14],[2,5,7,9,10,12,13],[2,6,7,9,11,12,14],[3,4,5,11,12,13,14],[3,4,7,8,9,10,14],[3,4,7,8,11,12,13],[3,5,6,7,10,11,13],[3,5,6,8,9,10,11],[4,5,6,8,9,13,14]]; G[1388]:=Group([(1,3,11)(2,12,10)(5,13,9)(6,8,14)]); # Design 1389: autom. group order 3, simple, residual B[1389]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,8,10,14],[1,3,6,9,12,13,14],[1,4,6,7,8,12,14],[1,4,6,9,10,11,14],[1,4,7,9,10,11,13],[1,5,6,7,9,11,12],[1,5,8,10,11,12,13],[2,3,6,8,9,11,12],[2,3,7,9,11,13,14],[2,4,5,6,7,11,13],[2,4,5,9,10,12,14],[2,4,6,8,10,12,13],[2,5,7,9,10,12,14],[2,6,7,8,10,11,14],[3,4,5,11,12,13,14],[3,4,7,8,9,10,13],[3,4,7,8,11,12,14],[3,5,6,7,10,12,13],[3,5,6,8,9,10,11],[4,5,6,8,9,13,14]]; G[1389]:=Group([(1,3,11)(2,12,10)(5,14,9)(6,8,13)]); # Design 1390: autom. group order 3, simple B[1390]:=[[1,2,3,4,5,6,7],[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],[1,2,8,10,12,13,14],[1,3,5,7,11,13,14],[1,3,6,7,9,12,14],[1,4,6,7,8,10,14],[1,4,6,9,11,13,14],[1,4,7,9,10,12,13],[1,5,6,8,9,11,12],[1,5,7,8,11,12,13],[2,3,6,8,12,13,14],[2,3,7,8,9,11,13],[2,4,5,6,11,12,14],[2,4,5,7,12,13,14],[2,4,6,7,8,9,13],[2,5,7,9,10,11,14],[2,6,7,9,10,11,12],[3,4,5,9,10,12,13],[3,4,7,8,10,11,14],[3,4,8,9,11,12,14],[3,5,6,7,8,10,12],[3,5,6,9,10,13,14],[4,5,6,8,10,11,13]]; G[1390]:=Group([(1,9,14)(3,7,12)(4,11,13)(5,10,8)]); # Design 1391: autom. group order 3, simple B[1391]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,9,11,12,14],[1,3,5,8,10,12,14],[1,3,6,7,8,9,14],[1,4,6,7,9,10,13],[1,4,6,9,11,12,14],[1,4,8,9,10,11,13],[1,5,6,8,11,12,13],[1,5,7,10,12,13,14],[2,3,6,7,11,12,13],[2,3,8,9,11,13,14],[2,4,5,6,10,11,14],[2,4,5,9,12,13,14],[2,4,7,8,10,13,14],[2,5,6,8,9,10,12],[2,6,7,8,9,10,12],[3,4,5,7,9,12,13],[3,4,6,8,12,13,14],[3,4,7,8,10,11,12],[3,5,6,9,10,11,13],[3,5,7,9,10,11,14],[4,5,6,7,8,11,14]]; G[1391]:=Group([(1,4,11)(2,6,8)(3,14,13)(9,10,12)]); # Design 1392: autom. group order 3, simple B[1392]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,10,11,13],[1,2,7,8,9,12,14],[1,3,5,8,10,12,14],[1,3,6,7,8,11,13],[1,4,6,7,9,11,14],[1,4,6,9,10,13,14],[1,4,8,9,10,12,13],[1,5,6,8,11,12,14],[1,5,7,9,11,12,13],[2,3,6,9,11,12,14],[2,3,7,8,9,13,14],[2,4,5,6,9,12,13],[2,4,5,8,11,13,14],[2,4,7,10,11,12,14],[2,5,6,8,9,10,11],[2,6,7,8,10,12,13],[3,4,5,7,12,13,14],[3,4,6,8,11,12,13],[3,4,7,8,9,10,11],[3,5,6,7,9,10,12],[3,5,9,10,11,13,14],[4,5,6,7,8,10,14]]; G[1392]:=Group([(2,8,11)(3,12,7)(4,14,13)(6,10,9)]); # Design 1393: autom. group order 3, simple, residual B[1393]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,13,14],[1,2,7,8,11,12,13],[1,3,5,8,9,10,11],[1,3,6,7,9,12,13],[1,4,6,8,9,12,13],[1,4,6,8,10,11,14],[1,4,7,9,11,12,14],[1,5,6,7,9,10,14],[1,5,8,10,12,13,14],[2,3,6,8,11,12,14],[2,3,7,9,10,12,14],[2,4,5,6,10,12,13],[2,4,5,9,11,13,14],[2,4,7,8,9,10,13],[2,5,6,8,9,12,14],[2,6,7,8,9,10,11],[3,4,5,7,8,12,14],[3,4,6,9,11,13,14],[3,4,7,8,10,13,14],[3,5,6,7,8,11,13],[3,5,9,10,11,12,13],[4,5,6,7,10,11,12]]; G[1393]:=Group([(1,10,14)(2,9,4)(3,7,11)(5,8,13)]); # Design 1394: autom. group order 3, simple, residual B[1394]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,11,13,14],[1,3,6,8,12,13,14],[1,4,6,7,8,12,13],[1,4,6,9,10,11,13],[1,4,8,9,11,12,14],[1,5,6,7,8,9,10],[1,5,7,9,10,12,14],[2,3,6,7,8,9,11],[2,3,8,9,10,12,13],[2,4,5,6,11,12,14],[2,4,5,8,9,13,14],[2,4,7,9,10,12,13],[2,5,6,8,10,12,14],[2,6,7,9,11,13,14],[3,4,5,7,10,13,14],[3,4,6,7,9,12,14],[3,4,7,8,10,11,14],[3,5,6,9,10,11,12],[3,5,7,8,11,12,13],[4,5,6,8,10,11,13]]; G[1394]:=Group([(1,4,14)(2,7,13)(5,10,6)(9,11,12)]); # Design 1395: autom. group order 3, simple, residual B[1395]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,7,8,9,10,14],[1,3,5,8,11,13,14],[1,3,6,9,12,13,14],[1,4,6,7,9,11,13],[1,4,6,8,10,12,13],[1,4,8,9,11,12,14],[1,5,6,7,8,9,10],[1,5,7,10,11,12,14],[2,3,6,7,9,11,12],[2,3,8,9,10,11,13],[2,4,5,6,8,11,14],[2,4,5,9,12,13,14],[2,4,7,8,10,12,13],[2,5,6,9,10,12,14],[2,6,7,8,11,13,14],[3,4,5,7,10,13,14],[3,4,6,7,8,12,14],[3,4,7,9,10,11,14],[3,5,6,8,10,11,12],[3,5,7,8,9,12,13],[4,5,6,9,10,11,13]]; G[1395]:=Group([(1,4,14)(2,7,13)(5,10,6)(8,11,12)]); # Design 1396: autom. group order 3, simple, residual B[1396]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,8,12,13,14],[1,3,6,9,11,13,14],[1,4,6,7,9,11,13],[1,4,6,8,10,12,13],[1,4,8,9,11,12,14],[1,5,6,7,8,9,10],[1,5,7,9,10,12,14],[2,3,6,8,9,10,12],[2,3,7,8,9,11,13],[2,4,5,6,11,12,14],[2,4,5,8,9,13,14],[2,4,7,9,10,12,13],[2,5,6,9,10,11,14],[2,6,7,8,12,13,14],[3,4,5,7,10,13,14],[3,4,6,7,9,12,14],[3,4,7,8,10,11,14],[3,5,6,7,8,11,12],[3,5,9,10,11,12,13],[4,5,6,8,10,11,13]]; G[1396]:=Group([(1,4,14)(2,7,13)(5,10,6)(8,11,9)]); # Design 1397: autom. group order 3, simple, residual B[1397]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,7,8,9,10,14],[1,3,5,8,11,13,14],[1,3,6,9,12,13,14],[1,4,6,7,8,12,13],[1,4,6,9,10,11,13],[1,4,8,9,11,12,14],[1,5,6,7,8,9,10],[1,5,7,10,11,12,14],[2,3,6,8,10,11,12],[2,3,7,8,9,12,13],[2,4,5,6,8,11,14],[2,4,5,9,12,13,14],[2,4,7,9,10,11,13],[2,5,6,9,10,12,14],[2,6,7,8,11,13,14],[3,4,5,7,10,13,14],[3,4,6,7,9,11,14],[3,4,7,8,10,12,14],[3,5,6,7,9,11,12],[3,5,8,9,10,11,13],[4,5,6,8,10,12,13]]; G[1397]:=Group([(1,4,14)(2,7,13)(5,10,6)(8,12,9)]); # Design 1398: autom. group order 3, simple, residual B[1398]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,10,11],[1,2,8,9,10,13,14],[1,3,5,9,11,13,14],[1,3,6,7,8,9,12],[1,4,6,8,9,12,13],[1,4,6,10,11,12,14],[1,4,7,8,11,13,14],[1,5,6,7,11,12,13],[1,5,7,9,10,12,14],[2,3,6,8,11,12,14],[2,3,7,9,11,12,13],[2,4,5,6,7,13,14],[2,4,5,9,11,12,14],[2,4,7,9,10,12,13],[2,5,6,8,10,12,13],[2,6,7,8,9,11,14],[3,4,5,8,12,13,14],[3,4,6,7,9,10,14],[3,4,7,8,10,11,13],[3,5,6,9,10,11,13],[3,5,7,8,10,12,14],[4,5,6,8,9,10,11]]; G[1398]:=Group([(1,8,13)(2,12,11)(4,14,9)(6,7,10)]); # Design 1399: autom. group order 3, simple B[1399]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,11,13,14],[1,3,6,7,8,10,11],[1,4,6,8,11,12,14],[1,4,6,9,10,13,14],[1,4,7,8,10,12,13],[1,5,6,7,9,12,13],[1,5,9,10,11,12,14],[2,3,6,9,11,12,14],[2,3,7,9,10,12,13],[2,4,5,6,11,12,13],[2,4,5,7,10,12,14],[2,4,7,8,11,13,14],[2,5,6,8,10,13,14],[2,6,7,8,9,10,11],[3,4,5,8,9,10,14],[3,4,6,8,9,12,13],[3,4,7,9,11,13,14],[3,5,6,7,8,12,14],[3,5,8,10,11,12,13],[4,5,6,7,9,10,11]]; G[1399]:=Group([(1,4,8)(2,3,9)(6,14,11)(7,10,13)]); # Design 1400: autom. group order 3, simple, residual B[1400]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,12,13,14],[1,3,6,7,8,9,11],[1,4,6,8,9,12,13],[1,4,6,9,12,13,14],[1,4,7,8,10,11,14],[1,5,6,8,10,11,12],[1,5,7,9,10,12,14],[2,3,6,7,8,12,14],[2,3,8,9,10,12,14],[2,4,5,6,9,11,14],[2,4,5,8,10,12,13],[2,4,7,9,11,12,14],[2,5,6,7,11,12,13],[2,6,7,8,9,10,13],[3,4,5,7,9,10,13],[3,4,6,10,11,13,14],[3,4,7,8,11,12,13],[3,5,6,9,10,11,12],[3,5,8,9,11,13,14],[4,5,6,7,8,10,14]]; G[1400]:=Group([(1,6,9)(2,5,10)(3,11,7)(4,12,13)]); # Design 1401: autom. group order 3, simple, residual B[1401]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,8,12,13],[1,3,6,7,9,11,14],[1,4,6,8,9,12,13],[1,4,6,9,12,13,14],[1,4,7,8,10,11,14],[1,5,6,8,10,11,12],[1,5,7,9,10,12,14],[2,3,6,7,8,12,14],[2,3,8,9,10,12,14],[2,4,5,6,9,11,14],[2,4,5,10,12,13,14],[2,4,7,8,9,11,12],[2,5,6,7,11,12,13],[2,6,7,8,9,10,13],[3,4,5,7,9,10,13],[3,4,6,8,10,11,13],[3,4,7,11,12,13,14],[3,5,6,9,10,11,12],[3,5,8,9,11,13,14],[4,5,6,7,8,10,14]]; G[1401]:=Group([(1,6,9)(2,5,10)(3,11,7)(4,12,13)]); # Design 1402: autom. group order 3, simple, residual B[1402]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,11,12,14],[1,3,5,7,11,13,14],[1,3,6,9,11,12,13],[1,4,6,7,8,9,14],[1,4,6,7,10,12,13],[1,4,7,8,10,11,14],[1,5,6,8,12,13,14],[1,5,8,9,10,11,12],[2,3,6,8,11,12,14],[2,3,7,9,10,13,14],[2,4,5,6,9,12,14],[2,4,5,7,11,12,13],[2,4,8,10,12,13,14],[2,5,6,7,8,10,11],[2,6,7,8,9,11,13],[3,4,5,8,11,13,14],[3,4,6,9,10,11,14],[3,4,7,8,9,12,13],[3,5,6,7,10,12,14],[3,5,7,8,9,10,12],[4,5,6,9,10,11,13]]; G[1402]:=Group([(1,6,13)(3,8,10)(4,11,14)(5,7,9)]); # Design 1403: autom. group order 3, simple, residual B[1403]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,9,12,14],[1,3,6,8,10,11,14],[1,4,6,7,8,13,14],[1,4,6,7,11,12,13],[1,4,9,10,11,12,14],[1,5,6,7,9,10,12],[1,5,8,9,10,13,14],[2,3,6,9,12,13,14],[2,3,7,9,10,11,13],[2,4,5,6,9,11,14],[2,4,5,7,10,13,14],[2,4,7,8,10,12,14],[2,5,6,8,11,12,14],[2,6,7,8,9,10,12],[3,4,5,8,10,12,13],[3,4,6,8,9,12,13],[3,4,7,8,9,11,14],[3,5,6,7,8,10,11],[3,5,7,11,12,13,14],[4,5,6,9,10,11,13]]; G[1403]:=Group([(2,6,12)(3,7,11)(5,13,10)(8,14,9)]); # Design 1404: autom. group order 3, simple, residual B[1404]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,9,13,14],[1,3,6,8,11,12,14],[1,4,6,7,8,9,11],[1,4,6,7,12,13,14],[1,4,8,9,10,12,13],[1,5,6,9,10,12,14],[1,5,7,8,10,11,14],[2,3,6,7,8,12,13],[2,3,7,8,9,10,14],[2,4,5,6,10,11,14],[2,4,5,9,12,13,14],[2,4,7,8,10,12,14],[2,5,6,7,9,11,12],[2,6,8,9,11,13,14],[3,4,5,8,11,13,14],[3,4,6,9,10,11,13],[3,4,7,9,11,12,14],[3,5,6,8,9,10,12],[3,5,7,10,11,12,13],[4,5,6,7,8,10,13]]; G[1404]:=Group([(1,7,12)(2,10,5)(3,8,9)(4,14,6)]); # Design 1405: autom. group order 3, simple B[1405]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,11,12,14],[1,3,6,8,10,11,13],[1,4,6,7,9,13,14],[1,4,6,8,11,12,14],[1,4,7,8,10,12,13],[1,5,6,7,9,10,12],[1,5,9,10,11,13,14],[2,3,6,9,11,12,14],[2,3,7,9,10,12,13],[2,4,5,6,7,11,13],[2,4,5,10,12,13,14],[2,4,7,8,10,11,14],[2,5,6,8,12,13,14],[2,6,7,8,9,10,11],[3,4,5,8,9,10,14],[3,4,6,8,9,12,13],[3,4,7,9,11,13,14],[3,5,6,7,8,10,14],[3,5,7,8,11,12,13],[4,5,6,9,10,11,12]]; G[1405]:=Group([(1,4,8)(2,3,9)(6,14,11)(7,10,13)]); # Design 1406: autom. group order 3, simple, residual B[1406]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,11,12,14],[1,3,6,9,11,12,13],[1,4,6,8,9,10,13],[1,4,6,8,11,12,14],[1,4,7,9,11,13,14],[1,5,6,7,8,9,14],[1,5,7,8,10,12,13],[2,3,6,7,8,9,11],[2,3,8,9,12,13,14],[2,4,5,6,7,12,13],[2,4,5,9,12,13,14],[2,4,7,8,10,11,14],[2,5,6,9,10,11,14],[2,6,7,8,11,12,13],[3,4,5,8,11,13,14],[3,4,6,7,10,13,14],[3,4,7,8,9,10,12],[3,5,6,8,10,12,14],[3,5,7,9,10,11,13],[4,5,6,9,10,11,12]]; G[1406]:=Group([(1,11,14)(3,8,9)(4,7,12)(5,6,13)]); # Design 1407: autom. group order 3, simple, residual B[1407]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,9,10,11],[1,3,5,7,8,12,13],[1,3,6,9,10,12,13],[1,4,6,8,9,11,13],[1,4,6,8,11,13,14],[1,4,7,9,10,12,14],[1,5,6,7,9,12,14],[1,5,7,8,10,11,14],[2,3,6,7,9,11,14],[2,3,8,9,11,12,14],[2,4,5,6,8,12,14],[2,4,5,9,10,13,14],[2,4,7,8,10,12,13],[2,5,6,7,10,11,13],[2,6,7,8,9,12,13],[3,4,5,7,9,11,13],[3,4,6,7,8,10,14],[3,4,7,11,12,13,14],[3,5,6,8,10,11,12],[3,5,8,9,10,13,14],[4,5,6,9,10,11,12]]; G[1407]:=Group([(1,11,13)(2,5,12)(3,10,7)(4,6,8)]); # Design 1408: autom. group order 3, simple, residual B[1408]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,10,11,14],[1,3,5,7,9,12,13],[1,3,6,10,12,13,14],[1,4,6,8,9,11,13],[1,4,6,9,11,13,14],[1,4,7,8,10,12,14],[1,5,6,7,8,12,14],[1,5,7,8,9,10,11],[2,3,6,7,8,11,14],[2,3,8,9,11,12,14],[2,4,5,6,9,12,14],[2,4,5,8,10,13,14],[2,4,7,9,10,12,13],[2,5,6,7,10,11,13],[2,6,7,8,9,12,13],[3,4,5,7,11,13,14],[3,4,6,7,9,10,14],[3,4,7,8,11,12,13],[3,5,6,9,10,11,12],[3,5,8,9,10,13,14],[4,5,6,8,10,11,12]]; G[1408]:=Group([(1,11,13)(2,5,12)(3,10,7)(4,6,9)]); # Design 1409: autom. group order 3, simple, residual B[1409]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,10,12,13,14],[1,3,6,7,8,12,14],[1,4,6,7,9,10,13],[1,4,6,9,11,12,14],[1,4,7,8,10,11,13],[1,5,6,8,9,10,11],[1,5,7,8,9,12,14],[2,3,6,7,9,11,14],[2,3,8,9,10,11,12],[2,4,5,6,8,12,13],[2,4,5,7,9,10,14],[2,4,7,8,10,12,14],[2,5,6,7,11,12,13],[2,6,8,9,10,13,14],[3,4,5,9,11,13,14],[3,4,6,8,9,12,13],[3,4,7,8,11,13,14],[3,5,6,7,8,10,11],[3,5,7,9,10,12,13],[4,5,6,10,11,12,14]]; G[1409]:=Group([(1,5,8)(2,11,14)(3,6,7)(4,10,12)]); # Design 1410: autom. group order 3, simple, residual B[1410]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,7,8,11,12],[1,4,6,7,10,12,14],[1,4,6,8,9,11,14],[1,4,7,8,9,10,13],[1,5,6,9,10,12,13],[1,5,7,8,10,11,14],[2,3,6,9,10,11,14],[2,3,7,8,12,13,14],[2,4,5,6,7,11,13],[2,4,5,8,10,12,14],[2,4,7,9,10,11,13],[2,5,6,8,9,10,12],[2,6,7,8,9,11,12],[3,4,5,7,9,12,14],[3,4,6,8,9,13,14],[3,4,8,10,11,12,13],[3,5,6,7,8,10,13],[3,5,7,9,10,11,14],[4,5,6,11,12,13,14]]; G[1410]:=Group([(2,9,11)(3,13,8)(4,12,14)(6,10,7)]); # Design 1411: autom. group order 3, simple, residual B[1411]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,8,10,12,14],[1,3,6,7,8,9,14],[1,4,6,7,11,12,14],[1,4,6,9,10,12,13],[1,4,7,8,10,11,13],[1,5,6,8,9,11,13],[1,5,7,9,12,13,14],[2,3,6,9,11,12,13],[2,3,7,8,11,13,14],[2,4,5,6,9,11,14],[2,4,5,7,12,13,14],[2,4,8,9,10,13,14],[2,5,6,7,8,10,12],[2,6,7,8,9,10,12],[3,4,5,7,9,10,13],[3,4,6,8,12,13,14],[3,4,7,8,9,11,12],[3,5,6,7,10,11,13],[3,5,9,10,11,12,14],[4,5,6,8,10,11,14]]; G[1411]:=Group([(1,4,11)(2,6,8)(3,14,13)(7,10,12)]); # Design 1412: autom. group order 3, simple B[1412]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,10,12,14],[1,3,6,7,8,12,13],[1,4,6,8,9,10,12],[1,4,6,11,12,13,14],[1,4,7,8,10,11,14],[1,5,6,7,8,9,14],[1,5,7,9,11,12,13],[2,3,6,7,9,11,14],[2,3,8,9,11,12,14],[2,4,5,6,7,11,12],[2,4,5,8,12,13,14],[2,4,7,8,9,10,13],[2,5,6,9,10,12,13],[2,6,7,8,10,12,14],[3,4,5,7,10,13,14],[3,4,6,8,9,11,13],[3,4,7,9,12,13,14],[3,5,6,8,10,11,13],[3,5,7,8,10,11,12],[4,5,6,9,10,11,14]]; G[1412]:=Group([(1,6,10)(2,3,13)(4,8,9)(5,11,7)]); # Design 1413: autom. group order 3, simple B[1413]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,11,12,13],[1,3,6,8,9,12,14],[1,4,6,7,9,13,14],[1,4,6,7,11,12,13],[1,4,8,10,11,12,14],[1,5,6,7,8,10,12],[1,5,7,9,10,11,14],[2,3,6,7,10,11,14],[2,3,7,9,11,12,13],[2,4,5,6,9,12,14],[2,4,5,10,12,13,14],[2,4,7,8,9,11,14],[2,5,6,7,8,11,12],[2,6,8,9,10,12,13],[3,4,5,7,8,10,13],[3,4,6,8,9,10,11],[3,4,7,8,12,13,14],[3,5,6,8,11,13,14],[3,5,7,9,10,12,14],[4,5,6,9,10,11,13]]; G[1413]:=Group([(2,7,11)(3,6,12)(5,13,10)(8,9,14)]); # Design 1414: autom. group order 3, simple B[1414]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,10,11],[1,2,8,9,12,13,14],[1,3,5,7,11,13,14],[1,3,6,7,8,11,13],[1,4,6,8,11,12,14],[1,4,6,9,10,13,14],[1,4,7,8,10,12,13],[1,5,6,7,9,10,12],[1,5,7,9,11,12,14],[2,3,6,9,11,12,14],[2,3,7,9,10,12,13],[2,4,5,6,11,12,13],[2,4,5,7,12,13,14],[2,4,7,8,10,11,14],[2,5,6,7,8,10,14],[2,6,7,8,9,11,13],[3,4,5,8,9,13,14],[3,4,6,7,8,9,12],[3,4,7,9,10,11,14],[3,5,6,8,10,12,14],[3,5,8,10,11,12,13],[4,5,6,9,10,11,13]]; G[1414]:=Group([(1,4,8)(2,3,9)(6,14,11)(7,13,10)]); # Design 1415: autom. group order 3, simple B[1415]:=[[1,2,3,4,5,6,7],[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],[1,2,9,11,12,13,14],[1,3,5,7,12,13,14],[1,3,6,8,9,11,14],[1,4,6,7,9,12,13],[1,4,6,8,10,13,14],[1,4,7,8,9,11,12],[1,5,6,7,9,10,14],[1,5,7,8,10,11,13],[2,3,6,7,8,12,13],[2,3,7,9,10,13,14],[2,4,5,6,7,11,14],[2,4,5,9,11,13,14],[2,4,7,8,9,10,13],[2,5,6,8,9,10,12],[2,6,7,8,11,12,14],[3,4,5,8,12,13,14],[3,4,6,9,10,12,14],[3,4,7,8,10,11,14],[3,5,6,8,9,11,13],[3,5,7,9,10,11,12],[4,5,6,10,11,12,13]]; G[1415]:=Group([(1,8,13)(3,12,9)(4,6,14)(5,7,11)]); # Design 1416: autom. group order 3, simple, residual B[1416]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,8,10,11,12,14],[1,3,5,7,12,13,14],[1,3,6,9,11,12,14],[1,4,6,7,9,11,12],[1,4,6,8,9,10,13],[1,4,7,8,10,13,14],[1,5,6,7,8,10,12],[1,5,7,9,11,13,14],[2,3,6,7,8,9,14],[2,3,7,9,10,11,13],[2,4,5,6,12,13,14],[2,4,5,7,10,11,14],[2,4,7,8,9,12,14],[2,5,6,8,11,12,13],[2,6,7,9,10,12,13],[3,4,5,9,10,12,13],[3,4,6,8,11,13,14],[3,4,7,8,11,12,13],[3,5,6,7,8,10,11],[3,5,8,9,10,12,14],[4,5,6,9,10,11,14]]; G[1416]:=Group([(1,2,13)(3,6,14)(4,12,7)(8,11,9)]); # Design 1417: autom. group order 3, simple, residual B[1417]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,8,10,11,12,14],[1,3,5,7,12,13,14],[1,3,6,8,9,12,14],[1,4,6,7,8,11,12],[1,4,6,9,10,11,13],[1,4,7,9,10,13,14],[1,5,6,7,9,10,12],[1,5,7,8,11,13,14],[2,3,6,7,9,11,14],[2,3,7,8,9,10,13],[2,4,5,6,12,13,14],[2,4,5,7,10,11,14],[2,4,7,8,9,12,14],[2,5,6,9,11,12,13],[2,6,7,8,10,12,13],[3,4,5,8,10,12,13],[3,4,6,8,11,13,14],[3,4,7,9,11,12,13],[3,5,6,7,8,10,11],[3,5,9,10,11,12,14],[4,5,6,8,9,10,14]]; G[1417]:=Group([(1,2,13)(3,6,14)(4,12,7)(8,9,11)]); # Design 1418: autom. group order 3, simple, residual B[1418]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,11,12,14],[1,3,5,7,11,13,14],[1,3,6,9,10,11,14],[1,4,6,7,8,11,12],[1,4,6,8,9,10,13],[1,4,7,8,12,13,14],[1,5,6,10,12,13,14],[1,5,8,9,10,11,12],[2,3,6,9,11,12,13],[2,3,7,8,10,12,14],[2,4,5,8,10,11,14],[2,4,5,9,12,13,14],[2,4,6,7,10,11,13],[2,5,6,8,11,12,13],[2,6,7,8,9,10,14],[3,4,5,6,10,12,14],[3,4,7,9,10,12,13],[3,4,8,9,11,13,14],[3,5,6,7,8,9,12],[3,5,7,8,10,11,13],[4,5,6,7,9,11,14]]; G[1418]:=Group([(1,13,14)(3,6,8)(4,11,10)(5,12,7)]); # Design 1419: autom. group order 3, simple B[1419]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,11,12,13],[1,2,7,8,9,10,14],[1,3,5,8,11,12,14],[1,3,6,7,8,9,13],[1,4,6,7,10,11,13],[1,4,6,8,12,13,14],[1,4,7,9,11,12,14],[1,5,6,8,9,10,12],[1,5,9,10,11,13,14],[2,3,6,9,11,12,13],[2,3,7,8,10,11,14],[2,4,5,7,9,13,14],[2,4,5,8,10,12,13],[2,4,6,9,10,12,14],[2,5,6,8,11,13,14],[2,6,7,8,9,11,12],[3,4,5,6,9,11,14],[3,4,7,8,12,13,14],[3,4,8,9,10,11,13],[3,5,6,7,10,12,14],[3,5,7,9,10,12,13],[4,5,6,7,8,10,11]]; G[1419]:=Group([(1,9,13)(2,12,4)(3,6,8)(5,11,14)]); # Design 1420: autom. group order 3, simple, residual B[1420]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,9,11,12,14],[1,3,5,9,10,12,13],[1,3,6,7,8,13,14],[1,4,6,7,9,10,11],[1,4,6,9,12,13,14],[1,4,7,8,10,12,14],[1,5,6,8,11,12,13],[1,5,8,9,10,11,14],[2,3,6,8,10,11,12],[2,3,7,8,9,12,14],[2,4,5,7,10,13,14],[2,4,5,11,12,13,14],[2,4,6,8,9,12,13],[2,5,6,8,9,10,14],[2,6,7,9,10,11,13],[3,4,5,6,9,11,14],[3,4,7,8,9,11,13],[3,4,8,10,11,13,14],[3,5,6,7,11,12,14],[3,5,7,9,10,12,13],[4,5,6,7,8,10,12]]; G[1420]:=Group([(2,6,8)(3,13,5)(4,14,11)(9,10,12)]); # Design 1421: autom. group order 3, simple B[1421]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,10,11,12,14],[1,3,5,9,10,12,13],[1,3,6,7,8,13,14],[1,4,6,7,9,11,12],[1,4,6,9,12,13,14],[1,4,7,8,9,10,14],[1,5,6,8,11,12,13],[1,5,8,9,10,11,14],[2,3,6,8,9,11,12],[2,3,7,8,9,12,14],[2,4,5,7,12,13,14],[2,4,5,9,11,13,14],[2,4,6,8,9,10,13],[2,5,6,8,10,12,14],[2,6,7,9,10,11,13],[3,4,5,6,10,11,14],[3,4,7,8,10,11,13],[3,4,8,11,12,13,14],[3,5,6,7,9,11,14],[3,5,7,9,10,12,13],[4,5,6,7,8,10,12]]; G[1421]:=Group([(2,6,8)(3,13,5)(4,14,11)(9,10,12)]); # Design 1422: autom. group order 3, simple, residual B[1422]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,12,13,14],[1,3,6,7,9,10,12],[1,4,6,8,9,12,13],[1,4,6,10,11,12,14],[1,4,7,8,9,11,14],[1,5,6,8,10,11,13],[1,5,7,8,11,12,14],[2,3,6,11,12,13,14],[2,3,8,9,10,11,14],[2,4,5,8,11,12,13],[2,4,5,9,10,12,14],[2,4,6,7,9,11,13],[2,5,6,7,8,10,12],[2,6,7,8,9,12,14],[3,4,5,6,7,11,14],[3,4,7,8,10,12,13],[3,4,7,8,10,13,14],[3,5,6,8,9,10,11],[3,5,7,9,11,12,13],[4,5,6,9,10,13,14]]; G[1422]:=Group([(1,6,9)(2,5,11)(3,10,7)(4,8,13)]); # Design 1423: autom. group order 3, simple, residual B[1423]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,7,10,12,13,14],[1,3,5,9,12,13,14],[1,3,6,7,9,11,12],[1,4,6,8,11,12,14],[1,4,6,8,11,13,14],[1,4,7,8,9,10,13],[1,5,6,9,10,12,14],[1,5,7,8,9,10,11],[2,3,6,9,10,11,14],[2,3,8,9,11,13,14],[2,4,5,8,10,12,14],[2,4,5,9,11,12,13],[2,4,6,7,9,10,14],[2,5,6,7,8,11,12],[2,6,7,8,9,12,13],[3,4,5,6,7,13,14],[3,4,7,8,9,12,14],[3,4,7,10,11,12,13],[3,5,6,8,10,12,13],[3,5,7,8,10,11,14],[4,5,6,9,10,11,13]]; G[1423]:=Group([(1,6,11)(2,10,5)(3,9,7)(4,14,8)]); # Design 1424: autom. group order 3, simple, residual B[1424]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,11,13,14],[1,2,7,10,12,13,14],[1,3,5,9,12,13,14],[1,3,6,7,9,11,13],[1,4,6,8,11,12,14],[1,4,6,8,11,13,14],[1,4,7,8,9,10,12],[1,5,6,9,10,12,14],[1,5,7,8,9,10,11],[2,3,6,9,10,11,14],[2,3,8,9,11,12,14],[2,4,5,8,10,13,14],[2,4,5,9,11,12,13],[2,4,6,7,9,10,14],[2,5,6,7,8,11,12],[2,6,7,8,9,12,13],[3,4,5,6,7,12,14],[3,4,7,8,9,13,14],[3,4,7,10,11,12,13],[3,5,6,8,10,12,13],[3,5,7,8,10,11,14],[4,5,6,9,10,11,13]]; G[1424]:=Group([(1,6,11)(2,10,5)(3,9,7)(4,14,8)]); # Design 1425: autom. group order 3, simple, residual B[1425]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,11,12,14],[1,3,5,10,11,13,14],[1,3,6,9,10,12,14],[1,4,6,7,11,13,14],[1,4,6,8,9,10,13],[1,4,7,8,9,11,12],[1,5,6,8,10,11,12],[1,5,7,8,12,13,14],[2,3,6,9,11,12,13],[2,3,7,8,10,11,14],[2,4,5,8,10,12,14],[2,4,5,9,11,13,14],[2,4,6,7,10,12,13],[2,5,6,8,11,12,13],[2,6,7,8,9,10,14],[3,4,5,6,7,12,14],[3,4,7,8,10,11,13],[3,4,8,9,12,13,14],[3,5,6,7,8,9,11],[3,5,7,9,10,12,13],[4,5,6,9,10,11,14]]; G[1425]:=Group([(1,13,14)(3,6,8)(4,12,10)(5,11,7)]); # Design 1426: autom. group order 3, simple B[1426]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,8,12,14],[1,3,6,8,9,11,12],[1,4,6,7,8,10,14],[1,4,6,9,10,12,13],[1,4,7,9,12,13,14],[1,5,6,8,10,11,13],[1,5,7,9,10,11,14],[2,3,6,7,9,11,13],[2,3,7,8,10,13,14],[2,4,5,8,10,12,13],[2,4,5,9,10,11,14],[2,4,6,7,11,12,14],[2,5,6,8,9,12,14],[2,6,7,8,9,10,12],[3,4,5,6,9,13,14],[3,4,7,8,9,10,11],[3,4,8,11,12,13,14],[3,5,6,10,11,12,14],[3,5,7,9,10,12,13],[4,5,6,7,8,11,13]]; G[1426]:=Group([(1,6,10)(2,9,5)(3,12,11)(4,8,14)]); # Design 1427: autom. group order 3, simple, residual B[1427]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,8,10,11,12],[1,3,5,7,9,11,13],[1,3,6,9,11,12,14],[1,4,6,7,9,12,14],[1,4,6,8,11,13,14],[1,4,7,8,9,10,14],[1,5,6,8,10,12,13],[1,5,7,9,10,12,13],[2,3,6,7,8,9,13],[2,3,9,10,12,13,14],[2,4,5,7,12,13,14],[2,4,5,9,10,11,14],[2,4,6,7,11,12,13],[2,5,6,8,9,12,14],[2,6,7,8,9,10,11],[3,4,5,6,8,10,12],[3,4,7,8,10,13,14],[3,4,8,9,11,12,13],[3,5,6,7,10,11,14],[3,5,7,8,11,12,14],[4,5,6,9,10,11,13]]; G[1427]:=Group([(1,7,10)(2,5,14)(4,11,13)(8,12,9)]); # Design 1428: autom. group order 3, simple, residual B[1428]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,12,13,14],[1,3,6,8,9,10,13],[1,4,6,7,9,12,13],[1,4,6,8,11,12,14],[1,4,7,9,10,11,14],[1,5,6,9,10,12,14],[1,5,7,8,11,13,14],[2,3,7,8,9,12,14],[2,3,9,11,12,13,14],[2,4,5,6,8,12,14],[2,4,5,7,10,13,14],[2,4,6,9,11,13,14],[2,5,6,7,9,10,11],[2,6,7,8,10,12,13],[3,4,5,10,11,12,13],[3,4,6,7,8,11,13],[3,4,7,8,9,10,14],[3,5,6,7,9,11,12],[3,5,6,8,10,11,14],[4,5,8,9,10,12,13]]; G[1428]:=Group([(1,9,12)(3,11,8)(4,13,7)(5,14,10)]); # Design 1429: autom. group order 3, simple, residual B[1429]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,11,13],[1,2,8,10,11,12,14],[1,3,5,7,12,13,14],[1,3,6,8,9,10,13],[1,4,6,7,8,11,12],[1,4,6,9,12,13,14],[1,4,7,9,10,11,14],[1,5,6,7,9,10,12],[1,5,7,8,11,13,14],[2,3,7,8,9,12,14],[2,3,7,9,11,12,13],[2,4,5,6,9,11,14],[2,4,5,7,10,13,14],[2,4,6,7,8,12,13],[2,5,6,8,10,12,14],[2,6,7,9,10,11,13],[3,4,5,10,11,12,13],[3,4,6,8,11,13,14],[3,4,7,8,9,10,14],[3,5,6,7,8,10,11],[3,5,6,9,11,12,14],[4,5,8,9,10,12,13]]; G[1429]:=Group([(1,9,12)(3,11,8)(4,13,14)(5,7,10)]); # Design 1430: autom. group order 3, simple, residual B[1430]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,11,12,14],[1,3,6,7,8,9,12],[1,4,6,7,8,10,13],[1,4,7,9,11,13,14],[1,4,8,9,10,12,14],[1,5,6,8,12,13,14],[1,5,6,9,10,11,13],[2,3,6,8,9,11,13],[2,3,7,8,12,13,14],[2,4,5,6,10,12,14],[2,4,5,7,9,13,14],[2,4,6,8,9,11,14],[2,5,8,9,10,12,13],[2,6,7,9,10,11,12],[3,4,5,8,10,11,13],[3,4,6,11,12,13,14],[3,4,7,9,10,12,13],[3,5,6,7,9,10,14],[3,5,7,8,10,11,14],[4,5,6,7,8,11,12]]; G[1430]:=Group([(1,6,13)(2,9,4)(3,11,7)(5,8,14)]); # Design 1431: autom. group order 3, simple, residual B[1431]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,11,12,13],[1,3,6,8,9,13,14],[1,4,6,7,9,12,14],[1,4,7,8,11,13,14],[1,4,8,9,10,12,14],[1,5,6,7,9,10,11],[1,5,6,8,10,11,12],[2,3,6,9,11,12,14],[2,3,7,8,11,12,14],[2,4,5,6,8,12,13],[2,4,5,9,10,13,14],[2,4,6,7,8,9,11],[2,5,8,9,10,11,14],[2,6,7,9,10,12,13],[3,4,5,7,10,12,14],[3,4,6,8,10,11,13],[3,4,7,9,10,11,13],[3,5,6,7,8,10,14],[3,5,7,8,9,12,13],[4,5,6,11,12,13,14]]; G[1431]:=Group([(1,10,12)(2,4,11)(5,13,14)(6,7,9)]); # Design 1432: autom. group order 3, simple B[1432]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,11,13,14],[1,3,6,8,9,12,14],[1,4,6,7,9,11,13],[1,4,7,9,11,13,14],[1,4,8,10,11,12,14],[1,5,6,7,9,10,12],[1,5,6,10,12,13,14],[2,3,6,9,10,13,14],[2,3,7,9,11,12,14],[2,4,5,6,11,12,14],[2,4,5,9,12,13,14],[2,4,6,7,8,10,14],[2,5,8,9,10,11,13],[2,6,7,8,11,12,13],[3,4,5,7,10,13,14],[3,4,6,8,9,12,13],[3,4,7,8,10,12,13],[3,5,6,7,8,11,14],[3,5,7,9,10,11,12],[4,5,6,8,9,10,11]]; G[1432]:=Group([(1,9,13)(2,5,8)(3,10,12)(4,11,7)]); # Design 1433: autom. group order 3, simple B[1433]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,11,12,13],[1,3,6,7,8,10,14],[1,4,6,8,11,12,14],[1,4,7,8,10,12,13],[1,4,9,10,11,13,14],[1,5,6,7,9,13,14],[1,5,6,9,10,11,12],[2,3,6,9,11,12,14],[2,3,7,9,10,12,13],[2,4,5,6,12,13,14],[2,4,5,7,10,11,14],[2,4,6,7,8,11,13],[2,5,8,10,12,13,14],[2,6,7,8,9,10,11],[3,4,5,8,9,10,14],[3,4,6,8,9,12,13],[3,4,7,9,11,13,14],[3,5,6,8,10,11,13],[3,5,7,8,11,12,14],[4,5,6,7,9,10,12]]; G[1433]:=Group([(1,4,8)(2,3,9)(6,14,11)(7,10,13)]); # Design 1434: autom. group order 3, simple B[1434]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,9,11,13],[1,3,5,7,8,11,14],[1,3,6,7,9,12,13],[1,4,6,8,9,13,14],[1,4,7,10,11,12,13],[1,4,8,9,10,12,14],[1,5,6,7,8,10,12],[1,5,6,9,10,11,14],[2,3,6,8,10,12,14],[2,3,8,9,10,11,13],[2,4,5,6,9,12,13],[2,4,5,7,10,13,14],[2,4,6,7,8,11,14],[2,5,7,8,9,10,12],[2,6,7,9,11,12,14],[3,4,5,9,11,12,14],[3,4,6,7,9,10,11],[3,4,7,8,12,13,14],[3,5,6,8,11,12,13],[3,5,7,9,10,13,14],[4,5,6,8,10,11,13]]; G[1434]:=Group([(2,8,10)(3,9,12)(5,14,11)(6,13,7)]); # Design 1435: autom. group order 3, simple, residual B[1435]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,11,12,13],[1,3,6,7,9,13,14],[1,4,6,8,9,12,14],[1,4,7,8,11,13,14],[1,4,7,9,10,12,14],[1,5,6,7,10,11,12],[1,5,6,8,9,10,11],[2,3,6,8,11,12,14],[2,3,7,9,11,12,14],[2,4,5,6,7,12,13],[2,4,5,9,10,13,14],[2,4,6,7,8,9,11],[2,5,7,9,10,11,14],[2,6,8,9,10,12,13],[3,4,5,8,10,12,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,13],[3,5,6,7,8,10,14],[3,5,7,8,9,12,13],[4,5,6,11,12,13,14]]; G[1435]:=Group([(1,10,12)(2,4,11)(5,13,14)(6,8,9)]); # Design 1436: autom. group order 3, simple B[1436]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,11,12,14],[1,3,6,9,12,13,14],[1,4,6,7,9,12,13],[1,4,7,8,9,11,14],[1,4,8,10,11,12,13],[1,5,6,7,8,10,14],[1,5,6,7,10,11,12],[2,3,6,7,8,11,12],[2,3,7,9,10,11,13],[2,4,5,6,8,12,13],[2,4,5,9,10,12,14],[2,4,6,7,9,11,14],[2,5,7,11,12,13,14],[2,6,8,9,10,12,14],[3,4,5,7,10,13,14],[3,4,6,8,10,11,14],[3,4,7,8,12,13,14],[3,5,6,8,9,11,13],[3,5,7,8,9,10,12],[4,5,6,9,10,11,13]]; G[1436]:=Group([(2,7,11)(3,6,12)(4,5,10)(9,14,13)]); # Design 1437: autom. group order 3, simple B[1437]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,11,12,13],[1,3,6,8,9,12,14],[1,4,6,7,8,12,13],[1,4,7,9,11,13,14],[1,4,8,10,11,12,14],[1,5,6,7,9,10,14],[1,5,6,7,10,11,12],[2,3,6,7,11,12,13],[2,3,7,9,10,11,14],[2,4,5,6,9,12,14],[2,4,5,10,12,13,14],[2,4,6,7,8,11,14],[2,5,7,8,9,11,12],[2,6,8,9,10,12,13],[3,4,5,7,8,10,13],[3,4,6,8,9,10,11],[3,4,7,9,12,13,14],[3,5,6,8,11,13,14],[3,5,7,8,10,12,14],[4,5,6,9,10,11,13]]; G[1437]:=Group([(2,7,11)(3,6,12)(4,5,10)(8,9,14)]); # Design 1438: autom. group order 3, simple, residual B[1438]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,8,9,10,12,13],[1,3,5,7,11,12,13],[1,3,6,7,9,13,14],[1,4,6,7,8,12,14],[1,4,7,9,10,12,14],[1,4,8,9,11,13,14],[1,5,6,7,8,10,11],[1,5,6,9,10,11,12],[2,3,6,9,11,12,14],[2,3,7,8,11,12,14],[2,4,5,6,9,12,13],[2,4,5,7,10,13,14],[2,4,6,7,8,9,11],[2,5,7,9,10,11,14],[2,6,7,8,10,12,13],[3,4,5,8,10,12,14],[3,4,6,8,10,11,13],[3,4,7,9,10,11,13],[3,5,6,8,9,10,14],[3,5,7,8,9,12,13],[4,5,6,11,12,13,14]]; G[1438]:=Group([(1,10,12)(2,4,11)(5,13,14)(6,8,7)]); # Design 1439: autom. group order 3, simple, residual B[1439]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,9,10,11,12,13],[1,3,5,7,8,12,13],[1,3,6,9,12,13,14],[1,4,6,8,9,10,14],[1,4,7,8,9,12,13],[1,4,7,8,10,11,14],[1,5,6,7,9,11,14],[1,5,6,7,10,11,12],[2,3,6,7,8,9,10],[2,3,7,8,11,12,14],[2,4,5,6,9,11,12],[2,4,5,7,10,13,14],[2,4,6,7,12,13,14],[2,5,8,9,10,12,14],[2,6,7,8,9,11,13],[3,4,5,9,11,13,14],[3,4,6,8,11,12,14],[3,4,7,9,10,11,13],[3,5,6,8,10,11,13],[3,5,7,9,10,12,14],[4,5,6,8,10,12,13]]; G[1439]:=Group([(2,5,11)(3,7,10)(4,6,12)(8,14,13)]); # Design 1440: autom. group order 3, simple B[1440]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,9,10,11,12,13],[1,3,5,7,8,12,13],[1,3,6,8,9,12,14],[1,4,6,8,9,10,13],[1,4,7,8,10,11,14],[1,4,7,9,12,13,14],[1,5,6,7,9,11,14],[1,5,6,7,10,11,12],[2,3,6,7,9,10,14],[2,3,7,8,11,12,14],[2,4,5,6,9,11,12],[2,4,5,7,10,13,14],[2,4,6,7,8,12,13],[2,5,8,9,10,12,14],[2,6,7,8,9,11,13],[3,4,5,9,11,13,14],[3,4,6,11,12,13,14],[3,4,7,8,9,10,11],[3,5,6,8,10,11,13],[3,5,7,9,10,12,13],[4,5,6,8,10,12,14]]; G[1440]:=Group([(2,5,11)(3,7,10)(4,6,12)(8,14,13)]); # Design 1441: autom. group order 3, simple, residual B[1441]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,13,14],[1,2,8,9,11,12,13],[1,3,5,11,12,13,14],[1,3,6,7,9,11,14],[1,4,6,8,9,12,14],[1,4,7,8,9,10,13],[1,4,7,10,11,12,14],[1,5,6,7,8,10,11],[1,5,6,7,9,12,13],[2,3,6,7,8,10,12],[2,3,7,8,9,12,14],[2,4,5,6,9,11,14],[2,4,5,7,12,13,14],[2,4,6,9,10,11,13],[2,5,7,9,10,11,12],[2,6,7,8,11,13,14],[3,4,5,7,8,11,13],[3,4,6,8,11,12,13],[3,4,7,9,10,13,14],[3,5,6,9,10,12,13],[3,5,8,9,10,11,14],[4,5,6,8,10,12,14]]; G[1441]:=Group([(1,8,9)(2,12,13)(3,6,10)(5,14,7)]); # Design 1442: autom. group order 3, simple, residual B[1442]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,11,12,13],[1,3,5,7,9,11,14],[1,3,6,8,10,13,14],[1,4,6,7,8,9,13],[1,4,7,8,10,11,14],[1,4,7,9,12,13,14],[1,5,6,8,9,10,12],[1,5,6,9,10,11,12],[2,3,6,7,9,12,14],[2,3,7,8,9,10,11],[2,4,5,6,8,11,13],[2,4,5,9,10,13,14],[2,4,8,9,10,12,14],[2,5,6,7,8,12,14],[2,6,7,9,10,11,13],[3,4,5,7,10,12,13],[3,4,6,8,11,12,14],[3,4,6,9,11,12,13],[3,5,7,8,10,12,13],[3,5,8,9,11,13,14],[4,5,6,7,10,11,14]]; G[1442]:=Group([(1,3,12)(2,4,11)(5,6,13)(7,9,14)]); # Design 1443: autom. group order 3, simple B[1443]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,11,12,13],[1,3,5,7,9,11,14],[1,3,6,8,9,10,13],[1,4,6,7,8,13,14],[1,4,7,9,12,13,14],[1,4,8,9,10,11,14],[1,5,6,7,8,10,12],[1,5,6,9,10,11,12],[2,3,6,7,9,12,14],[2,3,7,8,10,11,14],[2,4,5,6,8,11,13],[2,4,5,9,10,13,14],[2,4,7,8,9,10,12],[2,5,6,8,9,12,14],[2,6,7,9,10,11,13],[3,4,5,7,10,12,13],[3,4,6,8,11,12,14],[3,4,6,9,11,12,13],[3,5,7,8,9,11,13],[3,5,8,10,12,13,14],[4,5,6,7,10,11,14]]; G[1443]:=Group([(1,3,12)(2,4,11)(5,6,13)(7,9,14)]); # Design 1444: autom. group order 3, simple, residual B[1444]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,9,11,12,13],[1,3,5,7,8,11,14],[1,3,6,8,9,10,13],[1,4,6,7,8,13,14],[1,4,7,9,10,11,14],[1,4,8,9,12,13,14],[1,5,6,7,9,10,12],[1,5,6,10,11,12,14],[2,3,6,7,9,12,14],[2,3,8,9,10,11,14],[2,4,5,6,11,13,14],[2,4,5,7,9,10,13],[2,4,7,8,10,12,14],[2,5,6,8,9,12,14],[2,6,7,8,10,11,13],[3,4,5,10,12,13,14],[3,4,6,7,8,11,12],[3,4,6,9,11,12,13],[3,5,7,8,10,12,13],[3,5,7,9,11,13,14],[4,5,6,8,9,10,11]]; G[1444]:=Group([(1,3,12)(2,4,11)(5,6,13)(7,9,8)]); # Design 1445: autom. group order 3, simple, residual B[1445]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,9,11,14],[1,3,6,8,10,12,14],[1,4,6,7,9,10,13],[1,4,7,8,9,12,14],[1,4,8,9,10,11,13],[1,5,6,7,8,10,12],[1,5,6,9,11,13,14],[2,3,7,8,9,12,13],[2,3,7,9,10,13,14],[2,4,5,6,8,13,14],[2,4,5,9,10,12,14],[2,4,6,7,8,11,14],[2,5,6,9,10,11,12],[2,6,7,8,9,10,11],[3,4,5,8,10,11,13],[3,4,6,7,11,12,13],[3,4,6,9,11,12,14],[3,5,6,8,9,12,13],[3,5,7,8,10,11,14],[4,5,7,10,12,13,14]]; G[1445]:=Group([(1,4,12)(2,3,11)(5,6,13)(8,9,14)]); # Design 1446: autom. group order 3, simple, residual B[1446]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,9,11,14],[1,3,6,8,9,10,12],[1,4,6,7,8,10,13],[1,4,7,8,9,12,14],[1,4,9,10,11,13,14],[1,5,6,7,10,12,14],[1,5,6,8,9,11,13],[2,3,7,8,9,12,13],[2,3,7,9,10,13,14],[2,4,5,6,9,13,14],[2,4,5,8,10,12,14],[2,4,6,7,8,11,14],[2,5,6,9,10,11,12],[2,6,7,8,9,10,11],[3,4,5,8,10,11,13],[3,4,6,7,11,12,13],[3,4,6,9,11,12,14],[3,5,6,8,12,13,14],[3,5,7,8,10,11,14],[4,5,7,9,10,12,13]]; G[1446]:=Group([(1,4,12)(2,3,11)(5,6,13)(8,9,14)]); # Design 1447: autom. group order 3, simple B[1447]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,10,11,13],[1,2,8,9,10,13,14],[1,3,5,7,8,11,14],[1,3,6,8,9,11,12],[1,4,6,7,9,13,14],[1,4,7,8,9,10,12],[1,4,8,11,12,13,14],[1,5,6,7,9,12,13],[1,5,6,10,11,12,14],[2,3,7,8,12,13,14],[2,3,7,9,11,12,13],[2,4,5,6,8,12,13],[2,4,5,9,10,12,14],[2,4,6,7,11,12,14],[2,5,6,8,9,11,14],[2,6,7,8,9,10,11],[3,4,5,9,11,13,14],[3,4,6,7,8,10,14],[3,4,6,9,10,11,13],[3,5,6,8,10,12,13],[3,5,7,9,10,12,14],[4,5,7,8,10,11,13]]; G[1447]:=Group([(1,11,12)(2,9,5)(3,6,10)(4,8,14)]); # Design 1448: autom. group order 3, simple, residual B[1448]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,8,12,13,14],[1,3,6,7,9,11,14],[1,4,6,7,8,12,13],[1,4,7,9,12,13,14],[1,4,9,10,11,13,14],[1,5,6,7,9,10,11],[1,5,6,8,10,12,14],[2,3,7,8,11,13,14],[2,3,7,9,10,12,13],[2,4,5,6,11,13,14],[2,4,5,7,9,12,14],[2,4,6,7,8,10,14],[2,5,6,9,10,12,13],[2,6,8,9,11,12,14],[3,4,5,10,11,12,14],[3,4,6,8,9,10,13],[3,4,6,8,9,11,12],[3,5,6,7,11,12,13],[3,5,7,8,9,10,14],[4,5,7,8,10,11,13]]; G[1448]:=Group([(1,9,12)(2,8,11)(5,6,10)(7,13,14)]); # Design 1449: autom. group order 3, simple B[1449]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,11,12,14],[1,3,7,8,9,10,12],[1,4,6,7,11,12,14],[1,4,6,8,9,10,14],[1,4,6,8,11,12,13],[1,5,6,7,9,12,13],[1,5,8,10,11,13,14],[2,3,6,8,9,11,14],[2,3,7,8,11,12,13],[2,4,5,6,9,11,13],[2,4,5,7,10,12,14],[2,4,9,10,12,13,14],[2,5,6,8,10,11,12],[2,6,7,8,9,12,14],[3,4,5,8,12,13,14],[3,4,6,7,8,10,13],[3,4,7,9,11,13,14],[3,5,6,7,10,11,14],[3,5,6,9,10,12,13],[4,5,7,8,9,10,11]]; G[1449]:=Group([(1,2,12)(3,10,11)(5,14,6)(8,9,13)]); # Design 1450: autom. group order 3, simple B[1450]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,13,14],[1,2,7,8,10,11,13],[1,3,5,9,11,12,14],[1,3,7,9,10,12,13],[1,4,6,7,11,12,14],[1,4,6,8,9,10,14],[1,4,6,8,11,12,13],[1,5,6,7,9,12,13],[1,5,8,9,10,11,14],[2,3,6,9,11,13,14],[2,3,7,8,9,11,12],[2,4,5,6,9,11,13],[2,4,5,7,10,12,14],[2,4,9,10,12,13,14],[2,5,6,8,10,11,12],[2,6,7,8,9,12,14],[3,4,5,8,12,13,14],[3,4,6,7,8,9,10],[3,4,7,8,11,13,14],[3,5,6,7,10,11,14],[3,5,6,8,10,12,13],[4,5,7,9,10,11,13]]; G[1450]:=Group([(1,2,12)(3,10,11)(5,14,6)(8,9,13)]); # Design 1451: autom. group order 3, simple, residual B[1451]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,13,14],[1,2,7,8,9,10,11],[1,3,5,9,11,12,13],[1,3,7,8,10,12,14],[1,4,6,7,11,12,13],[1,4,6,8,9,10,13],[1,4,6,8,11,12,14],[1,5,6,7,9,12,14],[1,5,9,10,11,13,14],[2,3,6,8,11,13,14],[2,3,7,9,11,12,14],[2,4,5,6,9,11,14],[2,4,5,7,10,12,13],[2,4,9,10,12,13,14],[2,5,6,8,10,11,12],[2,6,7,8,9,12,13],[3,4,5,8,12,13,14],[3,4,6,7,9,10,14],[3,4,7,8,9,11,13],[3,5,6,7,10,11,13],[3,5,6,8,9,10,12],[4,5,7,8,10,11,14]]; G[1451]:=Group([(1,2,12)(3,10,11)(5,13,6)(8,9,14)]); # Design 1452: autom. group order 3, simple B[1452]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,9,13,14],[1,3,7,8,11,12,13],[1,4,6,7,8,10,14],[1,4,6,7,9,12,13],[1,4,6,9,11,12,14],[1,5,6,10,11,13,14],[1,5,8,9,10,11,12],[2,3,6,8,12,13,14],[2,3,7,9,10,11,14],[2,4,5,6,8,11,14],[2,4,5,7,10,12,13],[2,4,9,10,12,13,14],[2,5,6,7,9,11,12],[2,6,7,8,9,11,13],[3,4,5,9,11,13,14],[3,4,6,8,9,10,13],[3,4,7,8,11,12,14],[3,5,6,7,10,12,14],[3,5,6,8,9,10,12],[4,5,7,8,10,11,13]]; G[1452]:=Group([(1,7,13)(3,9,12)(4,11,14)(5,6,8)]); # Design 1453: autom. group order 3, simple, residual B[1453]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,11,13,14],[1,3,7,9,11,12,13],[1,4,6,7,8,9,14],[1,4,6,8,10,12,13],[1,4,6,9,11,13,14],[1,5,6,8,11,12,14],[1,5,7,8,9,10,12],[2,3,6,7,8,9,11],[2,3,8,9,12,13,14],[2,4,5,6,7,12,13],[2,4,5,9,12,13,14],[2,4,7,8,10,11,14],[2,5,6,9,10,11,14],[2,6,7,8,11,12,13],[3,4,5,8,11,12,14],[3,4,6,9,10,11,12],[3,4,7,8,10,13,14],[3,5,6,7,10,12,14],[3,5,6,8,9,10,13],[4,5,7,9,10,11,13]]; G[1453]:=Group([(1,11,14)(3,8,9)(4,7,12)(5,6,13)]); # Design 1454: autom. group order 3, simple, residual B[1454]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,11,13,14],[1,3,7,8,10,12,14],[1,4,6,7,8,11,13],[1,4,6,9,10,12,14],[1,4,7,8,11,13,14],[1,5,6,7,8,9,10],[1,5,6,9,11,12,14],[2,3,6,7,8,12,14],[2,3,6,8,9,11,14],[2,4,5,6,10,13,14],[2,4,5,7,11,12,14],[2,4,8,9,10,13,14],[2,5,7,8,9,10,11],[2,6,7,9,11,12,13],[3,4,5,7,9,12,13],[3,4,6,8,9,12,13],[3,4,7,9,10,11,14],[3,5,6,7,10,13,14],[3,5,8,10,11,12,13],[4,5,6,8,10,11,12]]; G[1454]:=Group([(1,8,13)(2,5,12)(3,10,9)(4,11,7)]); # Design 1455: autom. group order 3, simple B[1455]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,11,12,14],[1,3,8,9,10,11,14],[1,4,6,7,11,12,14],[1,4,6,8,10,12,13],[1,4,7,8,11,13,14],[1,5,6,7,9,10,14],[1,5,6,8,9,12,13],[2,3,6,7,8,12,14],[2,3,6,7,9,11,13],[2,4,5,9,12,13,14],[2,4,5,10,11,13,14],[2,4,6,8,9,10,14],[2,5,6,8,11,12,14],[2,7,8,9,10,11,12],[3,4,5,7,8,10,12],[3,4,6,9,11,12,13],[3,4,7,8,9,13,14],[3,5,6,8,10,11,13],[3,5,7,10,12,13,14],[4,5,6,7,9,10,11]]; G[1455]:=Group([(1,13,14)(2,3,6)(4,11,8)(5,9,12)]); # Design 1456: autom. group order 3, simple B[1456]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,11,12,14],[1,3,8,9,10,11,14],[1,4,6,7,10,11,14],[1,4,6,8,10,12,13],[1,4,7,8,9,13,14],[1,5,6,7,9,12,14],[1,5,6,8,11,12,13],[2,3,6,7,8,12,14],[2,3,6,7,9,11,13],[2,4,5,9,10,13,14],[2,4,5,11,12,13,14],[2,4,6,8,9,12,14],[2,5,6,8,10,11,14],[2,7,8,9,10,11,12],[3,4,5,7,8,10,12],[3,4,6,8,9,11,13],[3,4,7,11,12,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,13,14],[4,5,6,7,9,10,11]]; G[1456]:=Group([(1,13,14)(2,3,6)(4,9,8)(5,11,12)]); # Design 1457: autom. group order 3, simple B[1457]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,7,9,10,12,13],[1,3,5,9,11,12,14],[1,3,7,8,9,11,14],[1,4,6,7,8,12,13],[1,4,6,10,11,12,14],[1,4,7,8,11,13,14],[1,5,6,7,9,10,14],[1,5,6,8,9,12,13],[2,3,6,7,8,12,14],[2,3,6,7,9,11,13],[2,4,5,7,11,13,14],[2,4,5,9,12,13,14],[2,4,6,8,9,10,14],[2,5,6,8,11,12,14],[2,7,8,9,10,11,12],[3,4,5,7,8,10,12],[3,4,6,9,11,12,13],[3,4,8,9,10,13,14],[3,5,6,8,10,11,13],[3,5,7,10,12,13,14],[4,5,6,7,9,10,11]]; G[1457]:=Group([(1,13,14)(2,3,6)(4,11,8)(5,9,12)]); # Design 1458: autom. group order 3, simple B[1458]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,8,9,12,13,14],[1,3,5,9,11,13,14],[1,3,7,8,9,10,12],[1,4,6,7,8,10,13],[1,4,6,9,10,11,14],[1,4,7,8,11,12,14],[1,5,6,7,11,12,14],[1,5,6,9,10,12,13],[2,3,6,7,9,11,14],[2,3,6,8,11,12,13],[2,4,5,7,10,13,14],[2,4,5,9,10,11,12],[2,4,7,9,12,13,14],[2,5,6,8,10,12,14],[2,6,7,8,9,10,11],[3,4,5,6,8,12,14],[3,4,6,7,9,12,13],[3,4,8,10,11,13,14],[3,5,7,8,9,10,14],[3,5,7,10,11,12,13],[4,5,6,8,9,11,13]]; G[1458]:=Group([(1,6,10)(2,12,7)(3,5,8)(4,14,9)]); # Design 1459: autom. group order 3, simple, residual B[1459]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,12,13,14],[1,3,7,8,9,13,14],[1,4,6,7,9,10,13],[1,4,6,8,10,12,14],[1,4,8,9,11,12,13],[1,5,6,7,11,12,14],[1,5,6,8,9,10,11],[2,3,6,8,9,11,12],[2,3,7,8,10,12,13],[2,4,5,6,8,13,14],[2,4,5,9,10,12,14],[2,4,6,7,9,11,13],[2,5,9,10,11,13,14],[2,6,7,8,9,12,14],[3,4,5,7,8,11,14],[3,4,6,11,12,13,14],[3,4,7,9,10,11,14],[3,5,6,7,9,10,12],[3,5,6,8,10,11,13],[4,5,7,8,10,12,13]]; G[1459]:=Group([(1,4,14)(2,11,13)(5,7,9)(6,10,12)]); # Design 1460: autom. group order 3, simple, residual B[1460]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,7,9,12,13,14],[1,3,5,7,9,11,14],[1,3,7,8,10,12,14],[1,4,6,7,8,9,13],[1,4,6,7,10,11,12],[1,4,8,9,11,12,13],[1,5,6,8,9,10,14],[1,5,6,11,12,13,14],[2,3,6,7,9,11,13],[2,3,8,9,11,12,14],[2,4,5,6,8,12,14],[2,4,5,7,12,13,14],[2,4,6,9,10,11,14],[2,5,7,8,10,11,13],[2,6,7,8,9,10,12],[3,4,5,9,10,12,13],[3,4,6,8,11,13,14],[3,4,7,8,10,13,14],[3,5,6,7,8,11,12],[3,5,6,9,10,12,13],[4,5,7,9,10,11,14]]; G[1460]:=Group([(2,8,11)(3,9,12)(5,13,10)]); # Design 1461: autom. group order 3, simple, residual B[1461]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,8,12,14],[1,3,7,9,11,13,14],[1,4,6,7,8,9,13],[1,4,6,7,10,11,12],[1,4,8,9,11,12,13],[1,5,6,8,9,10,14],[1,5,6,11,12,13,14],[2,3,6,7,9,11,13],[2,3,8,9,11,12,14],[2,4,5,6,9,11,14],[2,4,5,7,12,13,14],[2,4,6,8,12,13,14],[2,5,7,8,10,11,13],[2,6,7,8,9,10,12],[3,4,5,9,10,12,13],[3,4,6,8,10,11,14],[3,4,7,8,10,13,14],[3,5,6,7,8,11,12],[3,5,6,9,10,12,13],[4,5,7,9,10,11,14]]; G[1461]:=Group([(2,8,11)(3,9,12)(5,13,10)]); # Design 1462: autom. group order 3, simple B[1462]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,11,13,14],[1,3,5,7,12,13,14],[1,3,7,8,9,11,12],[1,4,6,7,8,9,13],[1,4,6,9,10,12,13],[1,4,7,8,10,12,14],[1,5,6,8,10,11,14],[1,5,6,9,11,12,14],[2,3,6,7,9,10,14],[2,3,8,9,12,13,14],[2,4,5,6,7,12,14],[2,4,5,8,11,12,13],[2,4,6,8,9,11,14],[2,5,7,9,10,11,12],[2,6,7,8,10,12,13],[3,4,5,9,10,13,14],[3,4,6,11,12,13,14],[3,4,7,8,10,11,14],[3,5,6,7,8,11,13],[3,5,6,8,9,10,12],[4,5,7,9,10,11,13]]; G[1462]:=Group([(1,4,10)(2,9,14)(3,13,8)(6,7,11)]); # Design 1463: autom. group order 3, simple, residual B[1463]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,10,12,14],[1,3,7,11,12,13,14],[1,4,6,8,9,11,14],[1,4,6,8,10,12,13],[1,4,7,9,10,11,14],[1,5,6,7,8,10,12],[1,5,6,7,9,11,13],[2,3,6,7,8,9,14],[2,3,7,8,10,11,13],[2,4,5,6,12,13,14],[2,4,5,9,10,11,13],[2,4,6,7,11,12,14],[2,5,7,9,10,12,14],[2,6,8,9,10,11,12],[3,4,5,7,8,11,12],[3,4,6,7,9,10,13],[3,4,8,9,12,13,14],[3,5,6,8,10,11,14],[3,5,6,9,11,12,13],[4,5,7,8,10,13,14]]; G[1463]:=Group([(1,5,6)(2,11,10)(3,13,8)(4,9,12)]); # Design 1464: autom. group order 3, simple B[1464]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,12,13,14],[1,3,7,8,10,11,13],[1,4,6,8,9,10,12],[1,4,6,9,11,13,14],[1,4,7,8,11,12,14],[1,5,6,7,8,9,14],[1,5,6,7,10,12,13],[2,3,6,7,8,9,11],[2,3,8,9,12,13,14],[2,4,5,6,11,12,14],[2,4,5,7,9,10,13],[2,4,6,8,10,13,14],[2,5,7,8,10,12,14],[2,6,7,9,11,12,13],[3,4,5,7,11,13,14],[3,4,6,7,8,12,13],[3,4,7,9,10,12,14],[3,5,6,8,10,11,14],[3,5,6,9,10,11,12],[4,5,8,9,10,11,13]]; G[1464]:=Group([(1,7,12)(2,9,3)(4,11,14)(5,6,13)]); # Design 1465: autom. group order 3, simple B[1465]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,10,11,14],[1,3,7,8,9,12,13],[1,4,6,7,9,10,13],[1,4,6,8,10,12,14],[1,4,7,8,9,11,14],[1,5,6,7,8,10,11],[1,5,6,9,12,13,14],[2,3,6,7,8,11,14],[2,3,7,9,10,13,14],[2,4,5,6,8,13,14],[2,4,5,7,9,12,14],[2,4,8,9,10,11,13],[2,5,6,9,10,11,12],[2,6,7,8,9,10,12],[3,4,5,8,10,12,13],[3,4,6,7,11,12,13],[3,4,6,9,11,12,14],[3,5,6,8,9,11,13],[3,5,7,8,10,12,14],[4,5,7,10,11,13,14]]; G[1465]:=Group([(1,4,11)(2,3,12)(5,6,13)(8,9,14)]); # Design 1466: autom. group order 3, simple, residual B[1466]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,10,11,14],[1,3,5,7,9,13,14],[1,3,8,9,10,12,13],[1,4,6,7,8,11,13],[1,4,6,9,10,12,14],[1,4,7,8,10,13,14],[1,5,6,7,8,11,12],[1,5,6,9,11,12,14],[2,3,6,8,12,13,14],[2,3,7,8,9,11,14],[2,4,5,6,8,10,14],[2,4,5,9,11,12,13],[2,4,7,11,12,13,14],[2,5,6,7,9,10,13],[2,6,7,8,9,10,12],[3,4,5,7,10,12,14],[3,4,6,7,9,12,13],[3,4,6,8,9,11,14],[3,5,6,10,11,13,14],[3,5,7,8,10,11,12],[4,5,8,9,10,11,13]]; G[1466]:=Group([(1,7,12)(3,9,13)(4,10,14)(5,6,8)]); # Design 1467: autom. group order 3, simple, residual B[1467]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,11,12,13],[1,3,5,8,10,11,14],[1,3,7,9,12,13,14],[1,4,6,7,8,10,12],[1,4,6,9,10,13,14],[1,4,7,8,9,11,14],[1,5,6,7,9,10,11],[1,5,6,8,9,12,13],[2,3,6,7,9,11,14],[2,3,7,8,9,10,13],[2,4,5,6,8,13,14],[2,4,5,7,9,12,14],[2,4,8,9,10,11,13],[2,5,6,9,10,11,12],[2,6,7,8,10,12,14],[3,4,5,7,10,12,13],[3,4,6,8,11,12,14],[3,4,6,9,11,12,13],[3,5,6,7,8,11,13],[3,5,8,9,10,12,14],[4,5,7,10,11,13,14]]; G[1467]:=Group([(1,4,11)(2,3,12)(5,6,13)(7,9,14)]); # Design 1468: autom. group order 3, simple, residual B[1468]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,10,11,14],[1,3,7,8,12,13,14],[1,4,6,7,8,9,14],[1,4,6,7,10,11,12],[1,4,8,9,11,12,14],[1,5,6,8,9,10,13],[1,5,6,11,12,13,14],[2,3,6,7,9,12,14],[2,3,8,9,11,12,13],[2,4,5,7,11,13,14],[2,4,5,8,10,12,14],[2,4,6,9,11,13,14],[2,5,6,8,10,12,14],[2,6,7,8,9,10,11],[3,4,5,6,9,12,13],[3,4,6,8,10,11,13],[3,4,7,8,10,13,14],[3,5,6,7,8,11,12],[3,5,7,9,10,11,14],[4,5,7,9,10,12,13]]; G[1468]:=Group([(2,8,12)(3,9,11)(5,14,10)]); # Design 1469: autom. group order 3, simple, residual B[1469]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,7,9,10,11,13],[1,4,6,7,8,9,14],[1,4,6,7,10,11,12],[1,4,8,9,11,12,14],[1,5,6,8,9,10,13],[1,5,6,11,12,13,14],[2,3,6,7,8,11,14],[2,3,8,9,11,12,13],[2,4,5,7,12,13,14],[2,4,5,9,10,11,14],[2,4,6,8,10,12,13],[2,5,6,9,10,11,14],[2,6,7,8,9,10,12],[3,4,5,6,9,12,13],[3,4,6,8,11,13,14],[3,4,7,9,10,13,14],[3,5,6,7,9,11,12],[3,5,7,8,10,12,14],[4,5,7,8,10,11,13]]; G[1469]:=Group([(2,9,11)(3,8,12)(5,14,10)]); # Design 1470: autom. group order 3, simple, residual B[1470]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,12,13,14],[1,3,5,9,11,13,14],[1,3,7,9,11,12,14],[1,4,6,8,9,10,12],[1,4,6,8,10,13,14],[1,4,7,8,9,11,13],[1,5,6,7,8,11,12],[1,5,6,7,9,10,14],[2,3,6,8,9,12,14],[2,3,7,8,9,10,13],[2,4,5,7,9,10,14],[2,4,5,8,11,12,14],[2,4,6,7,11,13,14],[2,5,6,8,9,11,13],[2,6,7,9,10,11,12],[3,4,5,6,7,12,13],[3,4,6,9,12,13,14],[3,4,7,8,10,11,14],[3,5,6,8,10,11,14],[3,5,7,8,10,12,13],[4,5,9,10,11,12,13]]; G[1470]:=Group([(1,10,14)(2,8,9)(4,7,12)(5,13,6)]); # Design 1471: autom. group order 3, simple B[1471]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,12,13],[1,2,6,8,9,10,14],[1,3,5,8,12,13,14],[1,3,6,7,9,11,14],[1,4,6,7,8,11,12],[1,4,6,9,10,12,13],[1,4,7,9,10,13,14],[1,5,7,8,11,13,14],[1,5,8,9,10,11,12],[2,3,6,8,9,11,13],[2,3,7,8,10,12,13],[2,4,5,7,10,11,14],[2,4,5,9,12,13,14],[2,4,7,8,9,11,13],[2,5,6,9,11,12,14],[2,6,7,8,10,12,14],[3,4,5,6,8,10,14],[3,4,6,11,12,13,14],[3,4,7,8,9,12,14],[3,5,6,7,9,10,13],[3,5,7,9,10,11,12],[4,5,6,8,10,11,13]]; G[1471]:=Group([(1,8,9)(2,10,5)(3,6,12)(4,14,11)]); # Design 1472: autom. group order 3, simple, residual B[1472]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,9,12,13],[1,3,6,8,10,12,14],[1,4,6,7,8,11,14],[1,4,7,8,9,10,11],[1,4,8,9,12,13,14],[1,5,6,7,11,13,14],[1,5,7,9,10,12,14],[2,3,7,8,9,11,14],[2,3,7,8,12,13,14],[2,4,5,7,10,12,14],[2,4,5,9,11,13,14],[2,4,6,7,8,12,13],[2,5,6,8,9,10,14],[2,6,7,9,10,11,12],[3,4,5,6,11,12,14],[3,4,6,7,9,10,13],[3,4,6,9,10,13,14],[3,5,6,8,9,11,12],[3,5,7,8,10,11,13],[4,5,8,10,11,12,13]]; G[1472]:=Group([(1,8,12)(2,5,11)(3,10,6)(4,13,9)]); # Design 1473: autom. group order 3, simple, residual B[1473]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,12,13,14],[1,3,6,7,8,10,12],[1,4,6,7,8,11,14],[1,4,7,8,9,12,13],[1,4,8,9,10,11,14],[1,5,6,7,11,13,14],[1,5,7,9,10,12,14],[2,3,7,8,9,11,14],[2,3,7,8,12,13,14],[2,4,5,7,9,11,13],[2,4,5,7,10,12,14],[2,4,6,8,12,13,14],[2,5,6,8,9,10,14],[2,6,7,9,10,11,12],[3,4,5,6,11,12,14],[3,4,6,7,9,10,13],[3,4,6,9,10,13,14],[3,5,6,8,9,11,12],[3,5,7,8,10,11,13],[4,5,8,10,11,12,13]]; G[1473]:=Group([(1,8,12)(2,5,11)(3,10,6)(4,13,9)]); # Design 1474: autom. group order 3, simple, residual B[1474]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,7,8,9,11,14],[1,4,6,7,11,13,14],[1,4,6,8,9,11,12],[1,4,8,10,12,13,14],[1,5,6,7,10,11,12],[1,5,7,8,9,10,13],[2,3,6,7,8,10,13],[2,3,6,9,11,12,13],[2,4,5,7,12,13,14],[2,4,5,8,10,11,14],[2,4,7,8,9,11,13],[2,5,7,9,11,12,14],[2,6,8,9,10,12,14],[3,4,5,6,9,10,14],[3,4,6,7,8,12,14],[3,4,7,9,10,12,13],[3,5,6,8,11,13,14],[3,5,7,8,10,11,12],[4,5,6,9,10,11,13]]; G[1474]:=Group([(1,6,7)(2,10,5)(3,9,12)(4,14,11)]); # Design 1475: autom. group order 3, simple, residual B[1475]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,12,13],[1,2,5,6,8,10,14],[1,2,6,9,11,13,14],[1,3,5,7,9,11,14],[1,3,7,8,12,13,14],[1,4,6,7,9,10,13],[1,4,6,7,11,12,14],[1,4,7,8,9,10,13],[1,5,6,8,10,12,14],[1,5,8,9,11,12,13],[2,3,6,7,8,9,12],[2,3,6,9,10,13,14],[2,4,5,7,12,13,14],[2,4,5,9,12,13,14],[2,4,7,8,10,11,14],[2,5,7,8,10,11,13],[2,6,7,8,9,11,12],[3,4,5,6,8,11,13],[3,4,6,8,11,13,14],[3,4,8,9,10,12,14],[3,5,6,7,10,12,13],[3,5,7,9,10,11,14],[4,5,6,9,10,11,12]]; G[1475]:=Group([(1,8,14)(3,7,13)(4,11,9)(5,10,6)]); # Design 1476: autom. group order 3, simple, residual B[1476]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,12,13,14],[1,2,6,8,9,12,13],[1,3,5,7,8,10,13],[1,3,7,8,11,12,14],[1,4,6,7,9,11,13],[1,4,6,8,10,12,14],[1,4,7,9,11,13,14],[1,5,6,9,10,11,12],[1,5,7,8,9,10,14],[2,3,6,7,9,10,14],[2,3,6,8,9,11,14],[2,4,5,7,11,12,14],[2,4,5,9,10,13,14],[2,4,7,8,10,12,13],[2,5,7,8,9,11,12],[2,6,7,8,10,11,13],[3,4,5,6,8,11,13],[3,4,6,7,9,10,12],[3,4,8,9,12,13,14],[3,5,6,7,12,13,14],[3,5,9,10,11,12,13],[4,5,6,8,10,11,14]]; G[1476]:=Group([(1,7,11)(2,10,5)(3,8,12)(4,13,9)]); # Design 1477: autom. group order 3, simple, residual B[1477]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,9,12,13,14],[1,3,7,8,9,11,12],[1,4,6,7,12,13,14],[1,4,6,8,9,11,13],[1,4,7,8,9,10,14],[1,5,6,7,10,11,14],[1,5,8,10,11,12,13],[2,3,6,7,8,11,13],[2,3,7,9,10,13,14],[2,4,5,7,11,12,13],[2,4,5,8,10,12,14],[2,4,6,9,11,12,14],[2,5,7,8,9,11,14],[2,6,8,9,10,12,13],[3,4,5,6,9,10,13],[3,4,6,8,10,11,14],[3,4,7,8,12,13,14],[3,5,6,7,8,10,12],[3,5,6,9,11,12,14],[4,5,7,9,10,11,13]]; G[1477]:=Group([(1,6,7)(2,12,4)(3,9,13)(5,10,14)]); # Design 1478: autom. group order 3, simple, residual B[1478]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,12,13],[1,2,5,6,8,10,14],[1,2,6,7,11,13,14],[1,3,5,7,9,11,14],[1,3,8,9,12,13,14],[1,4,6,7,9,10,13],[1,4,6,9,11,12,14],[1,4,7,8,9,10,13],[1,5,6,8,10,12,14],[1,5,7,8,11,12,13],[2,3,6,7,8,9,12],[2,3,7,8,10,13,14],[2,4,5,7,12,13,14],[2,4,5,9,12,13,14],[2,4,8,9,10,11,14],[2,5,6,9,10,11,13],[2,6,7,8,9,11,12],[3,4,5,6,8,11,13],[3,4,6,7,10,12,14],[3,4,6,8,11,13,14],[3,5,6,9,10,12,13],[3,5,7,9,10,11,14],[4,5,7,8,10,11,12]]; G[1478]:=Group([(1,9,12)(2,10,7)(3,13,8)(4,6,11)]); # Design 1479: autom. group order 3, simple, residual B[1479]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,6,9,10,12,13],[1,3,5,9,11,13,14],[1,3,7,8,12,13,14],[1,4,6,7,9,10,14],[1,4,6,8,10,11,14],[1,4,7,8,9,11,12],[1,5,6,7,11,12,14],[1,5,7,8,9,10,13],[2,3,6,7,9,11,12],[2,3,7,8,9,10,14],[2,4,5,7,11,13,14],[2,4,5,8,10,12,14],[2,4,7,9,12,13,14],[2,5,6,8,9,11,14],[2,6,7,8,10,11,13],[3,4,5,6,7,10,13],[3,4,6,8,9,11,13],[3,4,6,8,12,13,14],[3,5,6,9,10,12,14],[3,5,7,8,10,11,12],[4,5,9,10,11,12,13]]; G[1479]:=Group([(1,4,13)(2,6,14)(5,8,11)(7,12,10)]); # Design 1480: autom. group order 3, simple, residual B[1480]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,7,12,13],[1,2,6,8,10,12,14],[1,3,5,8,9,13,14],[1,3,7,8,9,10,12],[1,4,6,7,8,11,14],[1,4,7,8,11,13,14],[1,4,7,9,10,12,13],[1,5,6,9,10,11,13],[1,5,6,9,11,12,14],[2,3,6,7,9,11,13],[2,3,6,8,12,13,14],[2,4,5,7,10,13,14],[2,4,5,9,11,12,14],[2,4,8,9,11,12,13],[2,5,7,8,9,10,14],[2,6,7,8,9,10,11],[3,4,5,6,8,10,11],[3,4,6,7,9,12,14],[3,4,6,9,10,13,14],[3,5,7,8,11,12,13],[3,5,7,10,11,12,14],[4,5,6,8,10,12,13]]; G[1480]:=Group([(1,7,11)(2,9,5)(3,10,12)(4,8,14)]); # Design 1481: autom. group order 3, simple, residual B[1481]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,12,13],[1,2,5,6,8,10,14],[1,2,6,7,11,13,14],[1,3,5,7,9,11,14],[1,3,8,9,12,13,14],[1,4,6,7,9,10,13],[1,4,7,8,9,10,13],[1,4,7,8,11,12,14],[1,5,6,8,10,12,14],[1,5,6,9,11,12,13],[2,3,6,7,8,9,12],[2,3,6,9,10,13,14],[2,4,5,7,12,13,14],[2,4,5,9,12,13,14],[2,4,8,9,10,11,14],[2,5,7,8,10,11,13],[2,6,7,8,9,11,12],[3,4,5,6,8,11,13],[3,4,6,7,10,12,14],[3,4,6,8,11,13,14],[3,5,7,8,10,12,13],[3,5,7,9,10,11,14],[4,5,6,9,10,11,12]]; G[1481]:=Group([(1,7,12)(2,10,9)(3,13,6)(4,8,11)]); # Design 1482: autom. group order 3, simple, residual B[1482]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,12,13],[1,2,5,6,8,10,14],[1,2,6,9,11,13,14],[1,3,5,7,9,11,14],[1,3,7,8,12,13,14],[1,4,6,7,9,10,13],[1,4,7,8,9,10,13],[1,4,7,8,11,12,14],[1,5,6,8,10,12,14],[1,5,6,9,11,12,13],[2,3,6,7,8,9,12],[2,3,6,7,10,13,14],[2,4,5,7,12,13,14],[2,4,5,9,12,13,14],[2,4,8,9,10,11,14],[2,5,7,8,10,11,13],[2,6,7,8,9,11,12],[3,4,5,6,8,11,13],[3,4,6,8,11,13,14],[3,4,6,9,10,12,14],[3,5,7,9,10,11,14],[3,5,8,9,10,12,13],[4,5,6,7,10,11,12]]; G[1482]:=Group([(2,8,13)(3,14,9)(4,12,6)(5,7,11)]); # Design 1483: autom. group order 3, simple, residual B[1483]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,12,13],[1,2,5,6,8,10,14],[1,2,6,9,11,13,14],[1,3,5,7,9,11,14],[1,3,7,8,12,13,14],[1,4,6,7,9,10,13],[1,4,7,8,9,10,13],[1,4,8,9,11,12,14],[1,5,6,7,11,12,13],[1,5,6,8,10,12,14],[2,3,6,7,8,9,12],[2,3,6,9,10,13,14],[2,4,5,7,12,13,14],[2,4,5,9,12,13,14],[2,4,7,8,10,11,14],[2,5,7,8,10,11,13],[2,6,7,8,9,11,12],[3,4,5,6,8,11,13],[3,4,6,7,10,12,14],[3,4,6,8,11,13,14],[3,5,7,9,10,11,14],[3,5,8,9,10,12,13],[4,5,6,9,10,11,12]]; G[1483]:=Group([(1,8,14)(3,7,13)(4,11,9)(5,10,6)]); # Design 1484: autom. group order 3, simple, residual B[1484]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,12,13],[1,2,5,6,8,10,14],[1,2,6,9,11,13,14],[1,3,5,7,9,11,14],[1,3,7,8,12,13,14],[1,4,6,7,9,10,13],[1,4,7,8,9,10,13],[1,4,7,8,11,12,14],[1,5,6,8,10,12,14],[1,5,6,9,11,12,13],[2,3,6,7,8,9,12],[2,3,8,9,10,13,14],[2,4,5,7,12,13,14],[2,4,5,9,12,13,14],[2,4,6,7,10,11,14],[2,5,7,8,10,11,13],[2,6,7,8,9,11,12],[3,4,5,6,8,11,13],[3,4,6,8,11,13,14],[3,4,6,9,10,12,14],[3,5,6,7,10,12,13],[3,5,7,9,10,11,14],[4,5,8,9,10,11,12]]; G[1484]:=Group([(2,8,13)(3,14,9)(4,12,6)(5,7,11)]); # Design 1485: autom. group order 3, simple, residual B[1485]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,6,12,13,14],[1,3,6,7,9,10,12],[1,4,6,9,11,13,14],[1,4,7,8,10,11,13],[1,4,8,9,10,12,14],[1,5,6,7,8,11,14],[1,5,7,8,9,11,12],[2,3,6,8,9,11,12],[2,3,7,8,9,13,14],[2,4,5,7,9,10,14],[2,4,5,7,11,12,13],[2,4,6,8,11,12,14],[2,5,6,9,10,11,14],[2,6,7,8,10,12,13],[3,4,5,8,12,13,14],[3,4,6,7,8,10,14],[3,4,6,7,9,11,13],[3,5,7,10,11,12,14],[3,5,8,9,10,11,13],[4,5,6,9,10,12,13]]; G[1485]:=Group([(1,6,14)(3,8,9)(4,12,7)(5,11,13)]); # Design 1486: autom. group order 3, simple B[1486]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,7,9,10,12,13],[1,3,5,7,9,11,13],[1,3,6,8,9,12,14],[1,4,6,7,8,10,13],[1,4,6,7,9,11,14],[1,4,8,11,12,13,14],[1,5,6,9,10,11,14],[1,5,7,8,10,12,14],[2,3,6,7,10,12,14],[2,3,6,8,9,13,14],[2,4,5,6,11,12,14],[2,4,5,9,10,13,14],[2,4,7,8,9,11,12],[2,5,7,8,11,13,14],[2,6,7,8,9,10,11],[3,4,5,7,8,10,14],[3,4,6,8,10,11,13],[3,4,7,9,12,13,14],[3,5,6,7,11,12,13],[3,5,8,9,10,11,12],[4,5,6,9,10,12,13]]; G[1486]:=Group([(1,4,6)(2,13,14)(3,10,9)(5,8,11)]); # Design 1487: autom. group order 3, simple, residual B[1487]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,12,13],[1,2,7,9,10,12,13],[1,3,5,7,11,12,14],[1,3,6,8,9,10,13],[1,4,6,7,8,11,13],[1,4,6,9,10,12,14],[1,4,7,8,11,13,14],[1,5,6,9,11,12,14],[1,5,7,8,9,10,14],[2,3,6,7,8,12,14],[2,3,6,8,9,11,14],[2,4,5,6,10,13,14],[2,4,5,9,11,13,14],[2,4,7,8,10,12,14],[2,5,7,8,9,10,11],[2,6,7,9,11,12,13],[3,4,5,7,9,12,13],[3,4,6,7,9,10,11],[3,4,8,9,12,13,14],[3,5,6,7,10,13,14],[3,5,8,10,11,12,13],[4,5,6,8,10,11,12]]; G[1487]:=Group([(1,8,13)(2,5,12)(3,10,9)(4,11,7)]); # Design 1488: autom. group order 3, simple, residual B[1488]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,8,12,13,14],[1,3,6,7,8,10,12],[1,4,6,7,8,11,13],[1,4,6,7,9,10,14],[1,4,9,11,12,13,14],[1,5,6,9,10,11,12],[1,5,7,8,9,11,14],[2,3,6,7,9,11,13],[2,3,6,8,9,11,14],[2,4,5,6,9,12,14],[2,4,5,7,11,12,13],[2,4,7,8,10,12,14],[2,5,7,8,10,11,14],[2,6,8,9,10,12,13],[3,4,5,8,9,10,13],[3,4,6,8,11,12,14],[3,4,7,9,10,13,14],[3,5,6,7,12,13,14],[3,5,7,9,10,11,12],[4,5,6,8,10,11,13]]; G[1488]:=Group([(1,6,7)(2,11,14)(3,8,10)(5,13,9)]); # Design 1489: autom. group order 3, simple, residual B[1489]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,5,7,9,11,13],[1,3,6,8,9,10,12],[1,4,6,8,9,11,13],[1,4,6,8,11,13,14],[1,4,7,9,10,12,14],[1,5,6,7,8,10,14],[1,5,7,9,11,12,14],[2,3,6,7,9,11,14],[2,3,6,8,9,12,14],[2,4,5,8,11,12,14],[2,4,5,9,10,13,14],[2,4,6,7,9,10,13],[2,5,6,7,8,10,11],[2,7,8,9,11,12,13],[3,4,5,7,8,12,13],[3,4,6,7,12,13,14],[3,4,7,8,10,11,14],[3,5,6,10,11,12,13],[3,5,8,9,10,13,14],[4,5,6,9,10,11,12]]; G[1489]:=Group([(1,6,13)(2,5,12)(3,10,7)(4,11,8)]); # Design 1490: autom. group order 3, simple B[1490]:=[[1,2,3,4,5,6,7],[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],[1,2,8,9,11,12,14],[1,3,6,7,9,13,14],[1,3,7,8,10,11,14],[1,4,5,7,10,12,13],[1,4,6,7,9,11,12],[1,4,6,8,12,13,14],[1,5,7,9,10,11,14],[1,5,8,9,10,12,13],[2,3,7,8,11,12,13],[2,3,7,9,10,12,13],[2,4,5,7,8,10,14],[2,4,6,9,10,12,14],[2,4,7,8,9,13,14],[2,5,6,7,11,12,14],[2,5,6,9,10,11,13],[3,4,5,9,11,13,14],[3,4,5,11,12,13,14],[3,4,6,8,9,10,11],[3,5,6,7,8,9,12],[3,5,6,8,10,12,14],[4,6,7,8,10,11,13]]; G[1490]:=Group([(1,2,6)(3,5,13)(4,11,14)(7,8,10)]); # Design 1491: autom. group order 3, simple, residual B[1491]:=[[1,2,3,4,5,6,7],[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],[1,2,9,10,11,12,14],[1,3,6,7,9,13,14],[1,3,7,8,10,11,14],[1,4,5,7,10,12,13],[1,4,6,8,9,11,12],[1,4,6,8,12,13,14],[1,5,7,8,9,11,14],[1,5,7,9,10,12,13],[2,3,7,8,9,12,13],[2,3,7,8,11,12,13],[2,4,5,7,8,10,14],[2,4,6,7,9,12,14],[2,4,8,9,10,13,14],[2,5,6,7,11,12,14],[2,5,6,9,10,11,13],[3,4,5,9,11,13,14],[3,4,5,11,12,13,14],[3,4,6,7,9,10,11],[3,5,6,8,9,10,12],[3,5,6,8,10,12,14],[4,6,7,8,10,11,13]]; G[1491]:=Group([(1,2,6)(3,5,13)(4,11,14)(7,8,10)]); # Design 1492: autom. group order 3, simple, residual B[1492]:=[[1,2,3,4,5,6,7],[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],[1,3,6,7,9,11,14],[1,3,7,8,9,12,13],[1,4,5,8,11,13,14],[1,4,6,9,10,12,14],[1,4,7,8,11,12,14],[1,5,6,8,9,10,13],[1,5,7,10,11,12,13],[2,3,7,8,10,12,14],[2,3,8,9,11,13,14],[2,4,5,7,10,13,14],[2,4,6,7,8,11,13],[2,4,6,9,12,13,14],[2,5,6,7,9,11,12],[2,5,8,9,10,11,12],[3,4,5,7,9,12,13],[3,4,5,9,10,11,14],[3,4,6,8,10,12,13],[3,5,6,7,8,10,14],[3,5,6,11,12,13,14],[4,6,7,8,9,10,11]]; G[1492]:=Group([(1,8,10)(2,4,7)(3,11,14)(5,6,13)]); # Design 1493: autom. group order 3, simple B[1493]:=[[1,2,3,4,5,6,7],[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],[1,3,6,7,8,12,14],[1,3,8,9,11,12,13],[1,4,5,7,12,13,14],[1,4,6,7,9,11,12],[1,4,7,8,9,10,13],[1,5,6,9,10,13,14],[1,5,8,10,11,12,14],[2,3,7,8,11,13,14],[2,3,7,9,10,12,13],[2,4,5,8,10,12,13],[2,4,6,8,9,11,14],[2,4,6,9,12,13,14],[2,5,6,7,10,11,12],[2,5,7,8,9,12,14],[3,4,5,7,11,13,14],[3,4,5,9,10,11,14],[3,4,6,8,10,12,14],[3,5,6,7,8,9,10],[3,5,6,9,11,12,13],[4,6,7,8,10,11,13]]; G[1493]:=Group([(1,8,9)(2,10,12)(3,4,13)(5,7,11)]); # Design 1494: autom. group order 3, simple, residual B[1494]:=[[1,2,3,4,5,6,7],[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],[1,2,6,9,10,11,14],[1,3,6,8,9,13,14],[1,3,7,8,11,12,13],[1,4,5,6,11,13,14],[1,4,7,8,9,11,13],[1,4,7,9,10,12,14],[1,5,6,8,9,10,12],[1,5,7,10,12,13,14],[2,3,7,8,9,12,14],[2,3,9,10,11,13,14],[2,4,5,7,9,13,14],[2,4,6,8,10,12,13],[2,4,6,8,12,13,14],[2,5,6,7,9,11,12],[2,5,7,8,10,11,13],[3,4,5,8,10,11,14],[3,4,5,9,10,12,13],[3,4,6,7,11,12,14],[3,5,6,7,8,10,14],[3,5,6,9,11,12,13],[4,6,7,8,9,10,11]]; G[1494]:=Group([(1,5,11)(2,12,8)(3,9,7)(4,6,13)]); # Design 1495: autom. group order 3, simple, residual B[1495]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,8,9,10,11],[1,3,7,8,12,13,14],[1,4,5,9,10,12,14],[1,4,6,9,12,13,14],[1,4,7,8,10,11,13],[1,5,6,7,10,11,12],[1,5,7,8,9,11,14],[2,3,7,9,10,11,14],[2,3,8,9,10,12,13],[2,4,5,6,8,11,13],[2,4,6,7,9,10,14],[2,4,7,8,11,12,14],[2,5,6,8,10,12,14],[2,5,7,9,11,12,13],[3,4,5,7,10,12,13],[3,4,5,9,11,13,14],[3,4,6,8,11,12,14],[3,5,6,7,8,9,12],[3,5,6,10,11,13,14],[4,6,7,8,9,10,13]]; G[1495]:=Group([(1,7,9)(2,4,13)(3,10,12)(5,8,11)]); # Design 1496: autom. group order 3, simple, residual B[1496]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,12,13],[1,3,7,8,9,10,12],[1,4,5,7,11,12,13],[1,4,6,8,11,12,13],[1,4,7,8,9,11,14],[1,5,6,7,10,12,14],[1,5,8,9,10,11,14],[2,3,7,8,11,12,14],[2,3,7,9,10,11,13],[2,4,5,6,9,10,11],[2,4,6,8,10,12,14],[2,4,7,9,12,13,14],[2,5,6,7,8,9,12],[2,5,8,10,11,12,13],[3,4,5,8,10,13,14],[3,4,5,9,12,13,14],[3,4,6,7,10,11,14],[3,5,6,7,8,11,13],[3,5,6,9,11,12,14],[4,6,7,8,9,10,13]]; G[1496]:=Group([(2,10,11)(3,12,4)(5,9,13)(6,7,8)]); # Design 1497: autom. group order 3, simple B[1497]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,7,8,9,14],[1,3,6,7,11,12,14],[1,3,7,8,9,10,13],[1,4,5,7,10,11,14],[1,4,6,9,12,13,14],[1,4,7,8,11,12,13],[1,5,6,8,9,10,12],[1,5,9,10,11,13,14],[2,3,7,9,10,11,13],[2,3,8,9,11,12,14],[2,4,5,6,9,11,13],[2,4,6,8,10,11,14],[2,4,7,9,12,13,14],[2,5,6,7,10,12,13],[2,5,7,8,10,12,14],[3,4,5,7,8,13,14],[3,4,5,9,10,12,14],[3,4,6,8,10,12,13],[3,5,6,7,9,11,12],[3,5,6,8,11,13,14],[4,6,7,8,9,10,11]]; G[1497]:=Group([(1,8,14)(2,6,9)(3,10,12)(5,11,13)]); # Design 1498: autom. group order 3, simple, residual B[1498]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,10,12],[1,3,6,7,9,11,13],[1,3,7,9,10,11,14],[1,4,5,9,10,12,14],[1,4,6,8,10,12,13],[1,4,7,8,11,13,14],[1,5,6,7,8,12,14],[1,5,8,9,11,12,13],[2,3,7,8,10,12,13],[2,3,8,9,11,12,14],[2,4,5,6,9,11,13],[2,4,6,8,10,11,14],[2,4,7,9,12,13,14],[2,5,6,7,11,12,14],[2,5,7,8,9,10,13],[3,4,5,7,8,11,12],[3,4,5,7,10,13,14],[3,4,6,9,12,13,14],[3,5,6,8,9,10,14],[3,5,6,10,11,12,13],[4,6,7,8,9,10,11]]; G[1498]:=Group([(1,10,12)(2,6,9)(3,8,14)(5,11,13)]); # Design 1499: autom. group order 3, simple B[1499]:=[[1,2,3,4,5,6,7],[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],[1,3,6,7,9,12,13],[1,3,8,11,12,13,14],[1,4,5,7,9,13,14],[1,4,6,9,11,12,13],[1,4,7,8,10,12,14],[1,5,6,8,10,13,14],[1,5,7,8,9,10,11],[2,3,7,8,9,13,14],[2,3,7,9,10,12,14],[2,4,5,6,8,12,14],[2,4,6,7,11,13,14],[2,4,8,9,10,11,13],[2,5,6,9,10,12,13],[2,5,7,8,11,12,13],[3,4,5,7,10,11,13],[3,4,5,10,12,13,14],[3,4,6,8,9,11,14],[3,5,6,7,8,11,12],[3,5,6,9,10,11,14],[4,6,7,8,9,10,12]]; G[1499]:=Group([(1,5,12)(2,11,9)(3,7,6)(4,8,13)]); # Design 1500: autom. group order 3, simple, residual B[1500]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,11,12,14],[1,3,7,8,11,12,14],[1,4,5,7,8,10,11],[1,4,6,7,9,13,14],[1,4,8,9,10,13,14],[1,5,6,7,9,10,12],[1,5,8,9,11,12,13],[2,3,7,8,9,10,13],[2,3,7,9,10,11,14],[2,4,5,6,9,11,14],[2,4,6,8,11,12,13],[2,4,7,9,11,12,13],[2,5,6,8,10,12,14],[2,5,7,8,9,12,14],[3,4,5,7,12,13,14],[3,4,5,10,12,13,14],[3,4,6,8,9,10,12],[3,5,6,7,8,11,13],[3,5,6,9,10,11,13],[4,6,7,8,10,11,14]]; G[1500]:=Group([(1,2,11)(3,4,12)(5,13,14)(6,9,8)]); # Design 1501: autom. group order 3, simple, residual B[1501]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,11,12,14],[1,3,7,8,11,12,14],[1,4,5,7,8,10,11],[1,4,6,9,10,13,14],[1,4,7,8,9,13,14],[1,5,6,7,9,10,12],[1,5,8,9,11,12,13],[2,3,7,8,9,10,13],[2,3,7,9,10,11,14],[2,4,5,6,9,11,14],[2,4,6,8,11,12,13],[2,4,7,9,11,12,13],[2,5,6,7,8,12,14],[2,5,8,9,10,12,14],[3,4,5,7,12,13,14],[3,4,5,10,12,13,14],[3,4,6,8,9,10,12],[3,5,6,7,9,11,13],[3,5,6,8,10,11,13],[4,6,7,8,10,11,14]]; G[1501]:=Group([(1,2,11)(3,4,12)(5,13,14)(6,9,8)]); # Design 1502: autom. group order 3, simple, residual B[1502]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,11,12,14],[1,3,6,9,12,13,14],[1,3,7,8,9,11,12],[1,4,5,7,9,10,14],[1,4,6,9,10,11,13],[1,4,8,9,12,13,14],[1,5,6,7,8,11,14],[1,5,7,8,10,12,13],[2,3,7,8,9,10,14],[2,3,7,9,11,13,14],[2,4,5,6,9,12,14],[2,4,6,7,8,12,13],[2,4,8,10,11,12,14],[2,5,6,8,9,11,13],[2,5,7,9,10,12,13],[3,4,5,7,11,12,13],[3,4,5,8,11,13,14],[3,4,6,7,10,13,14],[3,5,6,8,10,12,14],[3,5,6,9,10,11,12],[4,6,7,8,9,10,11]]; G[1502]:=Group([(1,7,9)(2,13,6)(3,12,11)(4,5,10)]); # Design 1503: autom. group order 3, simple, residual B[1503]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,9,11,12],[1,3,7,9,11,12,13],[1,4,5,9,10,12,14],[1,4,6,7,10,11,14],[1,4,7,8,9,13,14],[1,5,6,8,10,12,13],[1,5,7,8,11,12,14],[2,3,7,8,10,11,14],[2,3,9,10,12,13,14],[2,4,5,6,11,12,13],[2,4,6,7,9,12,14],[2,4,7,8,11,12,13],[2,5,6,8,9,11,14],[2,5,7,8,9,10,12],[3,4,5,7,8,10,13],[3,4,5,9,11,13,14],[3,4,6,8,10,12,14],[3,5,6,7,9,10,11],[3,5,6,7,12,13,14],[4,6,8,9,10,11,13]]; G[1503]:=Group([(1,2,12)(3,4,11)(5,13,9)(6,7,8)]); # Design 1504: autom. group order 3, simple, residual B[1504]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,11,12,14],[1,3,7,9,11,12,14],[1,4,5,8,9,10,11],[1,4,6,7,9,13,14],[1,4,7,8,10,13,14],[1,5,6,7,9,10,12],[1,5,7,8,11,12,13],[2,3,7,8,9,10,13],[2,3,7,9,10,11,14],[2,4,5,6,7,11,14],[2,4,6,9,11,12,13],[2,4,7,8,11,12,13],[2,5,6,8,10,12,14],[2,5,7,8,9,12,14],[3,4,5,9,12,13,14],[3,4,5,10,12,13,14],[3,4,6,7,8,10,12],[3,5,6,7,10,11,13],[3,5,6,8,9,11,13],[4,6,8,9,10,11,14]]; G[1504]:=Group([(1,2,11)(3,4,12)(5,13,14)(6,7,8)]); # Design 1505: autom. group order 3, simple, residual B[1505]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,8,9,12,14],[1,3,8,11,12,13,14],[1,4,5,7,10,12,14],[1,4,6,9,10,11,13],[1,4,7,8,9,11,14],[1,5,6,8,9,10,11],[1,5,7,9,10,12,13],[2,3,7,8,9,10,13],[2,3,7,9,10,11,14],[2,4,5,8,9,13,14],[2,4,6,7,8,11,12],[2,4,6,9,10,12,14],[2,5,6,9,11,12,13],[2,5,8,10,11,12,14],[3,4,5,6,11,13,14],[3,4,5,8,10,12,13],[3,4,7,9,11,12,13],[3,5,6,7,8,10,11],[3,5,6,7,9,12,14],[4,6,7,8,10,13,14]]; G[1505]:=Group([(1,8,9)(2,10,12)(3,5,6)(4,11,14)]); # Design 1506: autom. group order 3, simple, residual B[1506]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,8,9,12,14],[1,3,9,10,11,13,14],[1,4,5,8,12,13,14],[1,4,6,7,10,11,12],[1,4,7,8,9,11,14],[1,5,6,8,9,10,11],[1,5,7,9,10,12,13],[2,3,7,8,9,10,13],[2,3,7,8,11,12,14],[2,4,5,7,9,10,14],[2,4,6,8,9,11,13],[2,4,6,9,10,12,14],[2,5,6,9,11,12,13],[2,5,8,10,11,12,14],[3,4,5,6,11,13,14],[3,4,5,8,10,12,13],[3,4,7,9,11,12,13],[3,5,6,7,8,10,11],[3,5,6,7,9,12,14],[4,6,7,8,10,13,14]]; G[1506]:=Group([(1,8,9)(2,10,12)(3,5,6)(4,11,14)]); # Design 1507: autom. group order 3, simple, residual B[1507]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,7,9,11,12],[1,3,8,9,12,13,14],[1,4,5,7,10,13,14],[1,4,6,8,11,12,13],[1,4,7,8,9,11,14],[1,5,6,8,10,12,14],[1,5,7,9,10,12,13],[2,3,7,8,9,10,13],[2,3,7,11,12,13,14],[2,4,5,11,12,13,14],[2,4,6,7,8,10,12],[2,4,6,8,9,13,14],[2,5,6,7,9,12,14],[2,5,8,9,10,11,12],[3,4,5,6,9,12,13],[3,4,5,9,10,11,14],[3,4,7,8,10,12,14],[3,5,6,7,8,11,14],[3,5,6,8,10,11,13],[4,6,7,9,10,11,13]]; G[1507]:=Group([(2,5,10)(3,7,14)(4,13,6)(8,12,11)]); # Design 1508: autom. group order 3, simple, residual B[1508]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,7,9,11,12],[1,3,8,9,11,13,14],[1,4,5,7,10,13,14],[1,4,6,8,9,12,13],[1,4,7,8,11,12,14],[1,5,6,9,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,12,13,14],[2,3,7,9,10,11,13],[2,4,5,9,12,13,14],[2,4,6,7,8,9,10],[2,4,6,9,11,13,14],[2,5,6,7,11,12,14],[2,5,8,9,10,11,12],[3,4,5,6,11,12,13],[3,4,5,8,10,11,14],[3,4,7,9,10,12,14],[3,5,6,7,8,9,14],[3,5,6,8,10,12,13],[4,6,7,8,10,11,13]]; G[1508]:=Group([(2,5,10)(3,7,14)(4,13,6)(8,9,12)]); # Design 1509: autom. group order 3, simple, residual B[1509]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,8,9,12,13],[1,3,7,8,11,12,14],[1,4,5,7,10,13,14],[1,4,6,7,9,11,12],[1,4,8,9,11,13,14],[1,5,6,8,10,12,14],[1,5,7,9,10,12,13],[2,3,7,8,10,12,13],[2,3,7,9,11,13,14],[2,4,5,9,12,13,14],[2,4,6,7,8,9,10],[2,4,6,8,12,13,14],[2,5,6,7,11,12,14],[2,5,8,9,10,11,12],[3,4,5,6,11,12,13],[3,4,5,8,10,11,14],[3,4,7,9,10,12,14],[3,5,6,7,8,9,14],[3,5,6,9,10,11,13],[4,6,7,8,10,11,13]]; G[1509]:=Group([(2,5,10)(3,7,14)(4,13,6)(8,12,11)]); # Design 1510: autom. group order 3, simple, residual B[1510]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,9,11,12,13],[1,3,7,8,9,12,14],[1,4,5,7,10,13,14],[1,4,6,7,8,11,12],[1,4,8,9,11,13,14],[1,5,6,9,10,11,14],[1,5,7,9,10,12,13],[2,3,7,8,9,10,13],[2,3,7,11,12,13,14],[2,4,5,11,12,13,14],[2,4,6,7,9,10,11],[2,4,6,8,9,13,14],[2,5,6,7,9,12,14],[2,5,8,9,10,11,12],[3,4,5,6,9,12,13],[3,4,5,8,10,12,14],[3,4,7,9,10,11,14],[3,5,6,7,8,11,14],[3,5,6,8,10,11,13],[4,6,7,8,10,12,13]]; G[1510]:=Group([(2,5,10)(3,7,14)(4,13,6)(8,9,12)]); # Design 1511: autom. group order 3, simple B[1511]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,12,13,14],[1,3,6,8,9,13,14],[1,3,7,9,10,12,14],[1,4,5,9,10,13,14],[1,4,6,8,9,11,12],[1,4,7,8,10,11,13],[1,5,6,7,10,11,14],[1,5,7,8,9,11,12],[2,3,7,8,9,10,13],[2,3,7,8,11,12,14],[2,4,5,8,11,13,14],[2,4,6,7,9,11,14],[2,4,6,9,10,12,14],[2,5,6,7,8,9,10],[2,5,9,10,11,12,13],[3,4,5,6,7,12,13],[3,4,5,8,10,12,14],[3,4,7,9,11,13,14],[3,5,6,8,10,11,14],[3,5,6,9,11,12,13],[4,6,7,8,10,12,13]]; G[1511]:=Group([(1,9,10)(2,11,8)(3,12,7)(4,5,13)]); # Design 1512: autom. group order 3, simple, residual B[1512]:=[[1,2,3,4,5,6,7],[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],[1,3,6,7,8,12,14],[1,3,9,11,12,13,14],[1,4,5,8,11,12,14],[1,4,6,7,10,11,13],[1,4,7,8,9,13,14],[1,5,6,9,10,11,12],[1,5,7,8,10,12,13],[2,3,7,8,9,11,12],[2,3,7,10,12,13,14],[2,4,5,7,11,12,13],[2,4,6,8,11,13,14],[2,4,6,9,10,12,14],[2,5,6,8,9,12,13],[2,5,7,8,10,11,14],[3,4,5,6,12,13,14],[3,4,5,7,9,10,14],[3,4,8,9,10,11,13],[3,5,6,7,9,11,13],[3,5,6,8,10,11,14],[4,6,7,8,9,10,12]]; G[1512]:=Group([(1,11,12)(2,8,6)(3,14,9)(4,5,10)]); # Design 1513: autom. group order 3, simple B[1513]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,8,9,10,12],[1,3,7,9,12,13,14],[1,4,5,8,10,13,14],[1,4,6,7,8,13,14],[1,4,7,10,11,12,13],[1,5,6,9,11,12,14],[1,5,7,8,9,10,11],[2,3,7,8,9,11,13],[2,3,7,8,10,12,14],[2,4,5,7,9,10,14],[2,4,6,8,11,12,14],[2,4,6,9,10,11,13],[2,5,6,7,8,12,13],[2,5,9,10,12,13,14],[3,4,5,6,9,12,13],[3,4,5,7,11,12,14],[3,4,8,9,11,13,14],[3,5,6,7,10,11,13],[3,5,6,8,10,11,14],[4,6,7,8,9,10,12]]; G[1513]:=Group([(1,5,8)(2,13,4)(3,12,14)(9,11,10)]); # Design 1514: autom. group order 3, simple B[1514]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,8,9,11,12],[1,3,7,11,12,13,14],[1,4,5,8,12,13,14],[1,4,6,7,8,13,14],[1,4,7,9,10,11,13],[1,5,6,9,10,11,14],[1,5,7,8,9,10,12],[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],[2,4,6,9,10,12,13],[2,5,6,7,8,11,13],[2,5,9,11,12,13,14],[3,4,5,6,11,12,13],[3,4,5,7,9,11,14],[3,4,8,9,10,13,14],[3,5,6,7,9,10,13],[3,5,6,8,10,12,14],[4,6,7,8,10,11,12]]; G[1514]:=Group([(1,5,8)(2,13,4)(3,11,14)(9,10,12)]); # Design 1515: autom. group order 3, simple, residual B[1515]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,9,11,12],[1,3,7,10,11,13,14],[1,4,5,9,12,13,14],[1,4,6,7,9,13,14],[1,4,7,8,11,12,13],[1,5,6,8,10,11,14],[1,5,7,8,9,10,12],[2,3,7,8,9,11,14],[2,3,7,9,10,12,13],[2,4,5,7,8,10,14],[2,4,6,8,10,12,13],[2,4,6,9,11,12,14],[2,5,6,7,9,11,13],[2,5,8,11,12,13,14],[3,4,5,6,10,11,13],[3,4,5,7,11,12,14],[3,4,8,9,10,13,14],[3,5,6,7,8,12,13],[3,5,6,9,10,12,14],[4,6,7,8,9,10,11]]; G[1515]:=Group([(1,5,9)(2,13,4)(3,11,14)(8,10,12)]); # Design 1516: autom. group order 3, simple, residual B[1516]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,6,9,11,12,14],[1,3,6,7,8,12,13],[1,3,7,8,9,11,13],[1,4,5,7,11,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,12,13],[1,5,6,8,9,11,14],[1,5,7,9,10,12,14],[2,3,7,9,10,11,14],[2,3,8,9,12,13,14],[2,4,5,8,12,13,14],[2,4,6,7,8,9,10],[2,4,6,7,11,13,14],[2,5,6,7,9,12,13],[2,5,7,8,10,11,12],[3,4,5,6,9,11,12],[3,4,5,9,10,13,14],[3,4,7,8,11,12,14],[3,5,6,7,8,10,14],[3,5,6,10,11,12,13],[4,6,8,9,10,11,13]]; G[1516]:=Group([(1,8,11)(2,6,7)(3,10,14)(5,9,13)]); # Design 1517: autom. group order 3, simple, residual B[1517]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,6,9,10,13,14],[1,3,6,7,9,11,12],[1,3,7,8,11,13,14],[1,4,5,7,8,10,14],[1,4,6,8,9,10,12],[1,4,8,9,11,13,14],[1,5,6,7,11,12,14],[1,5,7,9,10,12,13],[2,3,7,8,9,12,13],[2,3,7,8,10,12,14],[2,4,5,7,10,11,13],[2,4,6,7,9,11,13],[2,4,6,8,11,12,14],[2,5,6,7,8,9,14],[2,5,9,10,11,12,14],[3,4,5,6,12,13,14],[3,4,5,9,12,13,14],[3,4,7,9,10,11,14],[3,5,6,8,9,10,11],[3,5,6,8,10,11,13],[4,6,7,8,10,12,13]]; G[1517]:=Group([(1,4,8)(2,12,11)(3,6,13)(5,10,14)]); # Design 1518: autom. group order 3, simple, residual B[1518]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,7,8,10,12],[1,3,7,8,9,13,14],[1,4,5,11,12,13,14],[1,4,6,8,11,12,14],[1,4,7,9,10,11,13],[1,5,6,7,8,9,11],[1,5,7,9,10,12,14],[2,3,7,8,11,12,13],[2,3,7,9,11,12,14],[2,4,5,7,8,12,14],[2,4,6,7,9,11,13],[2,4,6,8,9,10,14],[2,5,6,7,10,11,14],[2,5,8,9,10,12,13],[3,4,5,6,9,12,13],[3,4,5,7,10,13,14],[3,4,8,9,10,11,14],[3,5,6,8,11,13,14],[3,5,6,9,10,11,12],[4,6,7,8,10,12,13]]; G[1518]:=Group([(1,3,11)(2,12,4)(5,7,14)(6,9,13)]); # Design 1519: autom. group order 3, simple, residual B[1519]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,11,12,13],[1,3,7,8,10,13,14],[1,4,5,10,12,13,14],[1,4,6,8,9,12,14],[1,4,7,8,9,11,13],[1,5,6,7,11,12,14],[1,5,8,9,10,11,14],[2,3,7,9,12,13,14],[2,3,8,10,11,12,14],[2,4,5,7,8,12,14],[2,4,6,9,10,11,14],[2,4,7,9,11,13,14],[2,5,6,8,9,10,13],[2,5,6,8,11,12,13],[3,4,5,6,11,13,14],[3,4,5,9,10,12,13],[3,4,6,7,8,10,11],[3,5,6,7,9,10,14],[3,5,7,8,9,11,12],[4,6,7,8,10,12,13]]; G[1519]:=Group([(1,6,12)(2,13,4)(3,8,10)(7,11,14)]); # Design 1520: autom. group order 3, simple, residual B[1520]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,10,14],[1,3,6,8,9,12,14],[1,3,7,9,11,13,14],[1,4,5,8,10,13,14],[1,4,6,11,12,13,14],[1,4,7,8,10,12,14],[1,5,6,8,9,11,13],[1,5,7,9,10,11,12],[2,3,7,8,11,12,14],[2,3,8,9,10,13,14],[2,4,5,9,10,11,14],[2,4,6,7,9,12,13],[2,4,8,9,11,12,13],[2,5,6,7,8,11,14],[2,5,6,10,12,13,14],[3,4,5,6,9,12,14],[3,4,5,7,11,13,14],[3,4,6,7,8,10,13],[3,5,6,8,10,11,12],[3,5,7,9,10,12,13],[4,6,7,8,9,10,11]]; G[1520]:=Group([(1,8,11)(2,10,14)(3,4,7)(5,6,13)]); # Design 1521: autom. group order 3, simple, residual B[1521]:=[[1,2,3,4,5,6,7],[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],[1,3,6,7,9,12,13],[1,3,7,8,10,11,13],[1,4,5,10,12,13,14],[1,4,6,8,9,11,12],[1,4,7,8,9,13,14],[1,5,6,7,11,12,14],[1,5,8,9,10,11,14],[2,3,7,8,10,12,14],[2,3,9,11,12,13,14],[2,4,5,7,8,12,14],[2,4,6,7,9,10,11],[2,4,7,9,11,13,14],[2,5,6,8,9,10,13],[2,5,6,8,11,12,13],[3,4,5,6,11,13,14],[3,4,5,9,10,12,13],[3,4,6,8,10,11,14],[3,5,6,7,9,10,14],[3,5,7,8,9,11,12],[4,6,7,8,10,12,13]]; G[1521]:=Group([(1,6,12)(2,13,4)(3,8,10)(7,11,14)]); # Design 1522: autom. group order 3, simple, residual B[1522]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,7,8,12,13],[1,3,7,8,9,10,14],[1,4,5,8,11,12,14],[1,4,6,11,12,13,14],[1,4,7,9,10,12,13],[1,5,6,8,9,10,12],[1,5,7,9,11,13,14],[2,3,7,9,11,12,13],[2,3,8,9,11,12,14],[2,4,5,9,10,12,13],[2,4,6,7,8,12,14],[2,4,7,8,10,13,14],[2,5,6,7,9,12,14],[2,5,6,8,10,11,13],[3,4,5,6,9,13,14],[3,4,5,7,10,11,14],[3,4,6,8,9,11,13],[3,5,6,7,10,11,12],[3,5,8,10,12,13,14],[4,6,7,8,9,10,11]]; G[1522]:=Group([(1,3,12)(2,11,4)(5,9,14)(6,7,13)]); # Design 1523: autom. group order 3, simple, residual B[1523]:=[[1,2,3,4,5,6,7],[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],[1,3,6,7,9,10,12],[1,3,8,9,10,13,14],[1,4,5,7,9,12,14],[1,4,6,7,8,12,13],[1,4,9,11,12,13,14],[1,5,6,8,11,12,14],[1,5,7,8,10,11,13],[2,3,7,8,11,12,14],[2,3,7,9,11,12,13],[2,4,5,10,12,13,14],[2,4,6,8,10,12,13],[2,4,7,8,9,10,14],[2,5,6,7,9,13,14],[2,5,6,8,9,11,12],[3,4,5,6,10,11,14],[3,4,5,8,9,11,13],[3,4,6,7,11,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[1523]:=Group([(1,10,11)(3,4,12)(5,13,7)(6,14,9)]); # Design 1524: autom. group order 3, simple, residual B[1524]:=[[1,2,3,4,5,6,7],[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],[1,3,6,7,8,9,12],[1,3,8,9,11,13,14],[1,4,5,9,12,13,14],[1,4,6,8,11,12,14],[1,4,7,9,10,12,13],[1,5,6,7,11,12,13],[1,5,7,8,10,11,14],[2,3,7,8,12,13,14],[2,3,7,9,11,12,14],[2,4,5,8,9,11,13],[2,4,6,7,9,11,14],[2,4,7,8,10,12,13],[2,5,6,8,11,12,13],[2,5,6,9,10,12,14],[3,4,5,6,7,13,14],[3,4,5,10,11,12,14],[3,4,6,8,10,13,14],[3,5,6,8,9,10,12],[3,5,7,9,10,11,13],[4,6,7,8,9,10,11]]; G[1524]:=Group([(1,8,14)(3,13,9)(4,12,6)(5,7,10)]); # Design 1525: autom. group order 3, simple, residual B[1525]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,8,10,13],[1,2,5,7,10,11,14],[1,2,6,9,11,13,14],[1,3,6,8,9,12,14],[1,3,7,9,10,13,14],[1,4,5,11,12,13,14],[1,4,6,8,11,12,13],[1,4,7,8,10,12,14],[1,5,6,7,9,10,12],[1,5,7,8,9,11,13],[2,3,7,8,11,12,14],[2,3,7,9,11,12,13],[2,4,5,9,10,12,13],[2,4,6,7,9,12,14],[2,4,8,9,10,13,14],[2,5,6,7,8,12,13],[2,5,6,8,10,11,14],[3,4,5,6,9,11,14],[3,4,5,7,8,13,14],[3,4,6,7,10,11,13],[3,5,6,10,12,13,14],[3,5,8,9,10,11,12],[4,6,7,8,9,10,11]]; G[1525]:=Group([(1,3,12)(2,11,4)(5,7,13)(6,9,14)]); # Design 1526: autom. group order 3, simple, residual B[1526]:=[[1,2,3,4,5,6,7],[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],[1,3,6,7,8,11,12],[1,3,7,9,11,12,13],[1,4,5,7,10,12,14],[1,4,6,8,10,11,14],[1,4,7,8,9,13,14],[1,5,6,9,11,12,14],[1,5,8,9,10,12,13],[2,3,7,10,12,13,14],[2,3,8,9,10,11,14],[2,4,5,8,11,12,13],[2,4,6,9,11,12,13],[2,4,7,8,9,12,14],[2,5,6,7,8,10,12],[2,5,6,7,9,11,14],[3,4,5,6,9,10,13],[3,4,5,7,11,13,14],[3,4,6,9,10,12,14],[3,5,6,8,12,13,14],[3,5,7,8,9,10,11],[4,6,7,8,10,11,13]]; G[1526]:=Group([(1,2,12)(3,4,11)(5,13,7)(6,8,9)]); # Design 1527: autom. group order 3, simple, residual B[1527]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,13,14],[1,3,6,7,8,11,14],[1,3,7,8,9,10,12],[1,4,5,8,11,13,14],[1,4,6,7,9,12,13],[1,4,8,9,11,12,13],[1,5,6,9,10,12,14],[1,5,7,10,11,12,14],[2,3,7,8,12,13,14],[2,3,9,11,12,13,14],[2,4,5,7,10,12,13],[2,4,6,8,9,10,14],[2,4,7,9,10,11,14],[2,5,6,7,8,11,12],[2,5,6,8,9,11,12],[3,4,5,6,12,13,14],[3,4,5,7,9,11,14],[3,4,6,8,10,12,14],[3,5,6,9,10,11,13],[3,5,7,8,9,10,13],[4,6,7,8,10,11,13]]; G[1527]:=Group([(1,3,14)(2,12,5)(4,13,10)(6,8,11)]); # Design 1528: autom. group order 3, simple, residual B[1528]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,13,14],[1,3,6,7,8,11,14],[1,3,7,8,9,10,12],[1,4,5,8,11,13,14],[1,4,6,9,11,12,13],[1,4,7,8,9,12,13],[1,5,6,9,10,12,14],[1,5,7,10,11,12,14],[2,3,7,8,12,13,14],[2,3,9,11,12,13,14],[2,4,5,7,10,12,13],[2,4,6,7,9,10,14],[2,4,8,9,10,11,14],[2,5,6,7,8,11,12],[2,5,6,8,9,11,12],[3,4,5,6,12,13,14],[3,4,5,7,9,11,14],[3,4,6,8,10,12,14],[3,5,6,8,9,10,13],[3,5,7,9,10,11,13],[4,6,7,8,10,11,13]]; G[1528]:=Group([(1,3,14)(2,12,5)(4,13,10)(6,8,11)]); # Design 1529: autom. group order 3, simple B[1529]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,7,9,12,13],[1,3,7,8,9,10,14],[1,4,5,9,11,12,14],[1,4,6,11,12,13,14],[1,4,7,8,10,12,13],[1,5,6,8,9,10,12],[1,5,7,8,11,13,14],[2,3,7,8,11,12,13],[2,3,8,9,11,12,14],[2,4,5,7,10,12,14],[2,4,6,8,9,12,13],[2,4,7,9,10,13,14],[2,5,6,7,8,12,14],[2,5,6,9,10,11,13],[3,4,5,6,8,13,14],[3,4,5,7,9,11,13],[3,4,6,8,10,11,14],[3,5,6,7,10,11,12],[3,5,9,10,12,13,14],[4,6,7,8,9,10,11]]; G[1529]:=Group([(1,3,12)(2,11,4)(5,8,14)(6,7,13)]); # Design 1530: autom. group order 3, simple, residual B[1530]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,13,14],[1,3,6,7,8,11,14],[1,3,7,8,9,10,12],[1,4,5,8,11,13,14],[1,4,6,8,9,12,13],[1,4,7,9,11,12,13],[1,5,6,9,10,12,14],[1,5,7,10,11,12,14],[2,3,7,8,12,13,14],[2,3,9,11,12,13,14],[2,4,5,7,10,12,13],[2,4,6,9,10,11,14],[2,4,7,8,9,10,14],[2,5,6,7,8,11,12],[2,5,6,8,9,11,12],[3,4,5,6,12,13,14],[3,4,5,7,9,11,14],[3,4,6,8,10,12,14],[3,5,6,7,9,10,13],[3,5,8,9,10,11,13],[4,6,7,8,10,11,13]]; G[1530]:=Group([(1,3,14)(2,12,5)(4,13,10)(6,8,11)]); # Design 1531: autom. group order 3, simple, residual B[1531]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,8,9,11,12],[1,3,7,9,10,11,13],[1,4,5,7,9,10,14],[1,4,6,10,11,12,14],[1,4,7,9,12,13,14],[1,5,6,7,8,11,14],[1,5,8,9,10,12,13],[2,3,7,8,10,12,14],[2,3,7,9,11,13,14],[2,4,5,11,12,13,14],[2,4,6,8,9,10,14],[2,4,7,8,9,11,12],[2,5,6,7,9,10,11],[2,5,6,9,10,12,13],[3,4,5,6,7,12,13],[3,4,5,8,10,11,13],[3,4,6,8,9,13,14],[3,5,6,9,11,12,14],[3,5,7,8,10,12,14],[4,6,7,8,10,11,13]]; G[1531]:=Group([(1,6,13)(3,10,14)(4,9,11)(7,12,8)]); # Design 1532: autom. group order 3, simple, residual B[1532]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,8,9,11,12],[1,3,7,9,10,11,13],[1,4,5,7,8,10,13],[1,4,6,10,11,12,14],[1,4,7,9,12,13,14],[1,5,6,7,9,12,14],[1,5,8,9,10,11,14],[2,3,7,8,10,12,14],[2,3,7,9,11,13,14],[2,4,5,11,12,13,14],[2,4,6,8,9,10,14],[2,4,7,8,9,11,12],[2,5,6,7,9,10,11],[2,5,6,9,10,12,13],[3,4,5,6,7,11,14],[3,4,5,9,10,12,13],[3,4,6,8,9,13,14],[3,5,6,8,11,12,13],[3,5,7,8,10,12,14],[4,6,7,8,10,11,13]]; G[1532]:=Group([(1,6,13)(3,10,14)(4,9,11)(7,12,8)]); # Design 1533: autom. group order 3, simple, residual B[1533]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,13,14],[1,3,6,8,9,11,14],[1,3,7,8,9,10,12],[1,4,5,8,11,13,14],[1,4,6,7,11,12,13],[1,4,7,8,9,12,13],[1,5,6,9,10,12,14],[1,5,7,10,11,12,14],[2,3,7,8,12,13,14],[2,3,9,11,12,13,14],[2,4,5,9,10,12,13],[2,4,6,7,9,10,14],[2,4,7,8,10,11,14],[2,5,6,7,8,11,12],[2,5,6,8,9,11,12],[3,4,5,6,12,13,14],[3,4,5,7,9,11,14],[3,4,6,8,10,12,14],[3,5,6,7,8,10,13],[3,5,7,9,10,11,13],[4,6,8,9,10,11,13]]; G[1533]:=Group([(1,3,14)(2,12,5)(4,13,10)(6,8,11)]); # Design 1534: autom. group order 3, simple, residual B[1534]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,13,14],[1,3,6,8,9,11,14],[1,3,7,8,9,10,12],[1,4,5,8,11,13,14],[1,4,6,7,9,12,13],[1,4,7,8,11,12,13],[1,5,6,9,10,12,14],[1,5,7,10,11,12,14],[2,3,7,8,12,13,14],[2,3,9,11,12,13,14],[2,4,5,9,10,12,13],[2,4,6,7,8,10,14],[2,4,7,9,10,11,14],[2,5,6,7,8,11,12],[2,5,6,8,9,11,12],[3,4,5,6,12,13,14],[3,4,5,7,9,11,14],[3,4,6,8,10,12,14],[3,5,6,7,10,11,13],[3,5,7,8,9,10,13],[4,6,8,9,10,11,13]]; G[1534]:=Group([(1,3,14)(2,12,5)(4,13,10)(6,8,11)]); # Design 1535: autom. group order 3, simple, residual B[1535]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,13,14],[1,3,6,8,9,11,14],[1,3,7,8,9,10,12],[1,4,5,8,11,13,14],[1,4,6,7,8,12,13],[1,4,7,9,11,12,13],[1,5,6,9,10,12,14],[1,5,7,10,11,12,14],[2,3,7,8,12,13,14],[2,3,9,11,12,13,14],[2,4,5,9,10,12,13],[2,4,6,7,10,11,14],[2,4,7,8,9,10,14],[2,5,6,7,8,11,12],[2,5,6,8,9,11,12],[3,4,5,6,12,13,14],[3,4,5,7,9,11,14],[3,4,6,8,10,12,14],[3,5,6,7,9,10,13],[3,5,7,8,10,11,13],[4,6,8,9,10,11,13]]; G[1535]:=Group([(1,3,14)(2,12,5)(4,13,10)(6,8,11)]); # Design 1536: autom. group order 3, simple, residual B[1536]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,9,10,11],[1,2,6,8,12,13,14],[1,3,6,7,8,9,13],[1,3,7,9,10,12,14],[1,4,5,11,12,13,14],[1,4,6,9,11,12,13],[1,4,7,8,10,11,14],[1,5,6,7,9,11,14],[1,5,7,8,10,12,13],[2,3,7,8,11,12,13],[2,3,7,9,11,12,14],[2,4,5,7,9,12,13],[2,4,6,7,8,11,14],[2,4,8,9,10,13,14],[2,5,6,7,10,11,13],[2,5,6,9,10,12,14],[3,4,5,6,8,12,14],[3,4,5,7,10,13,14],[3,4,6,9,10,11,13],[3,5,6,8,10,11,12],[3,5,8,9,11,13,14],[4,6,7,8,9,10,12]]; G[1536]:=Group([(1,3,11)(2,12,4)(5,7,13)(6,8,14)]); # Design 1537: autom. group order 3, simple, residual B[1537]:=[[1,2,3,4,5,6,7],[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],[1,2,6,9,12,13,14],[1,3,6,7,10,12,14],[1,3,7,8,9,13,14],[1,4,5,11,12,13,14],[1,4,6,8,11,12,13],[1,4,7,8,10,11,14],[1,5,6,7,8,9,11],[1,5,7,9,10,12,13],[2,3,7,8,11,12,14],[2,3,7,9,11,12,13],[2,4,5,7,8,12,13],[2,4,6,7,9,11,14],[2,4,8,9,10,13,14],[2,5,6,7,10,11,13],[2,5,6,8,10,12,14],[3,4,5,6,9,12,14],[3,4,5,7,10,13,14],[3,4,6,9,10,11,13],[3,5,6,8,11,13,14],[3,5,8,9,10,11,12],[4,6,7,8,9,10,12]]; G[1537]:=Group([(1,3,11)(2,12,4)(5,7,13)(6,9,14)]); # Design 1538: autom. group order 3, simple, residual B[1538]:=[[1,2,3,4,5,6,7],[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],[1,3,6,7,11,12,14],[1,3,8,9,11,12,13],[1,4,5,7,9,11,13],[1,4,6,8,10,13,14],[1,4,7,9,10,13,14],[1,5,6,7,8,9,12],[1,5,7,8,10,12,14],[2,3,7,8,9,10,14],[2,3,7,9,12,13,14],[2,4,5,8,12,13,14],[2,4,6,7,9,10,12],[2,4,7,8,11,12,13],[2,5,6,7,10,11,13],[2,5,6,8,9,11,14],[3,4,5,6,12,13,14],[3,4,5,9,10,11,14],[3,4,6,7,8,11,14],[3,5,6,9,10,12,13],[3,5,7,8,10,11,13],[4,6,8,9,10,11,12]]; G[1538]:=Group([(1,12,13)(2,6,7)(3,9,11)(4,10,5)]); # Design 1539: autom. group order 3, simple, residual B[1539]:=[[1,2,3,4,5,6,7],[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],[1,2,6,9,10,11,13],[1,3,6,9,11,12,14],[1,3,7,8,10,12,14],[1,4,5,7,10,11,14],[1,4,6,8,11,12,13],[1,4,7,8,9,13,14],[1,5,6,7,10,12,13],[1,5,7,8,9,11,12],[2,3,7,8,9,10,11],[2,3,7,11,12,13,14],[2,4,5,8,11,12,13],[2,4,6,7,9,10,12],[2,4,7,9,12,13,14],[2,5,6,7,8,11,14],[2,5,6,8,10,12,14],[3,4,5,6,9,12,14],[3,4,5,10,11,13,14],[3,4,6,7,8,10,13],[3,5,6,7,9,11,13],[3,5,8,9,10,12,13],[4,6,8,9,10,11,14]]; G[1539]:=Group([(1,6,11)(2,14,4)(3,8,10)(9,12,13)]); # Design 1540: autom. group order 3, simple, residual B[1540]:=[[1,2,3,4,5,6,7],[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],[1,2,6,9,10,11,12],[1,3,6,11,12,13,14],[1,3,7,8,9,10,13],[1,4,5,7,10,11,13],[1,4,6,8,9,11,14],[1,4,7,8,12,13,14],[1,5,6,7,10,12,14],[1,5,7,8,9,11,12],[2,3,7,8,10,11,14],[2,3,7,9,11,12,13],[2,4,5,8,11,12,14],[2,4,6,7,9,10,14],[2,4,7,9,12,13,14],[2,5,6,7,8,11,13],[2,5,6,8,10,12,13],[3,4,5,6,9,12,13],[3,4,5,10,11,13,14],[3,4,6,7,8,10,12],[3,5,6,7,9,11,14],[3,5,8,9,10,12,14],[4,6,8,9,10,11,13]]; G[1540]:=Group([(1,6,11)(2,13,4)(3,8,10)(9,12,14)]); # Design 1541: autom. group order 3, simple, residual B[1541]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,11,13,14],[1,3,7,8,10,12,14],[1,4,5,7,10,11,14],[1,4,6,8,9,11,12],[1,4,7,8,12,13,14],[1,5,6,7,9,10,12],[1,5,7,8,9,11,13],[2,3,7,8,9,10,11],[2,3,7,9,11,12,14],[2,4,5,8,11,12,13],[2,4,6,7,9,10,13],[2,4,7,9,12,13,14],[2,5,6,7,8,11,14],[2,5,6,8,10,12,14],[3,4,5,6,9,12,14],[3,4,5,10,11,13,14],[3,4,6,7,8,10,13],[3,5,6,7,11,12,13],[3,5,8,9,10,12,13],[4,6,8,9,10,11,14]]; G[1541]:=Group([(1,6,11)(2,14,4)(3,8,10)(9,12,13)]); # Design 1542: autom. group order 3, simple, residual B[1542]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,11,12,14],[1,3,7,8,9,10,14],[1,4,5,7,10,12,14],[1,4,6,8,11,12,13],[1,4,7,8,11,13,14],[1,5,6,7,9,10,11],[1,5,7,8,9,12,13],[2,3,7,8,10,12,13],[2,3,7,9,11,12,14],[2,4,5,8,9,11,12],[2,4,6,7,9,10,13],[2,4,7,9,11,13,14],[2,5,6,7,8,12,14],[2,5,6,8,10,11,14],[3,4,5,6,9,13,14],[3,4,5,10,12,13,14],[3,4,6,7,8,10,11],[3,5,6,7,11,12,13],[3,5,8,9,10,11,13],[4,6,8,9,10,12,14]]; G[1542]:=Group([(1,6,12)(2,14,4)(3,8,10)(9,11,13)]); # Design 1543: autom. group order 3, simple, residual B[1543]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,13,14],[1,2,6,7,9,11,12],[1,3,6,8,11,12,13],[1,3,7,8,9,10,14],[1,4,5,9,11,13,14],[1,4,7,8,11,12,14],[1,4,7,9,10,12,13],[1,5,6,8,9,10,11],[1,5,6,10,12,13,14],[2,3,7,9,12,13,14],[2,3,8,9,10,11,13],[2,4,5,7,10,11,13],[2,4,6,8,9,12,14],[2,4,6,8,11,13,14],[2,5,6,7,8,10,12],[2,5,9,10,11,12,14],[3,4,5,6,9,12,13],[3,4,5,8,10,12,14],[3,4,6,7,10,11,14],[3,5,6,7,9,11,14],[3,5,7,8,11,12,13],[4,6,7,8,9,10,13]]; G[1543]:=Group([(1,7,8)(2,10,11)(3,4,13)(5,9,12)]); # Design 1544: autom. group order 3, simple, residual B[1544]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,8,11,12,13],[1,3,7,8,9,10,12],[1,4,5,9,12,13,14],[1,4,7,8,10,11,14],[1,4,7,9,11,13,14],[1,5,6,8,10,11,14],[1,5,6,9,10,12,13],[2,3,7,8,12,13,14],[2,3,9,10,11,13,14],[2,4,5,10,11,12,13],[2,4,6,8,9,10,14],[2,4,6,8,9,11,12],[2,5,6,7,11,12,14],[2,5,7,8,9,10,13],[3,4,5,6,8,13,14],[3,4,5,7,10,12,14],[3,4,6,7,9,11,13],[3,5,6,7,9,10,11],[3,5,8,9,11,12,14],[4,6,7,8,10,12,13]]; G[1544]:=Group([(1,9,11)(3,8,12)(5,6,10)(7,14,13)]); # Design 1545: autom. group order 3, simple, residual B[1545]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,9,10,14],[1,3,7,8,9,11,14],[1,4,5,10,11,13,14],[1,4,7,8,11,13,14],[1,4,7,9,10,12,13],[1,5,6,7,8,11,12],[1,5,6,9,10,12,14],[2,3,7,9,11,12,14],[2,3,8,10,12,13,14],[2,4,5,9,11,12,14],[2,4,6,7,8,10,14],[2,4,6,8,9,11,13],[2,5,6,7,10,11,14],[2,5,7,8,9,10,13],[3,4,5,6,9,13,14],[3,4,5,7,8,10,12],[3,4,6,7,12,13,14],[3,5,6,8,11,12,13],[3,5,7,9,10,11,13],[4,6,8,9,10,11,12]]; G[1545]:=Group([(1,9,11)(2,13,6)(3,7,8)(4,10,12)]); # Design 1546: autom. group order 3, simple, residual B[1546]:=[[1,2,3,4,5,6,7],[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],[1,3,6,7,8,11,12],[1,3,6,9,10,12,13],[1,4,5,6,9,10,14],[1,4,7,8,9,11,14],[1,4,7,8,12,13,14],[1,5,6,11,12,13,14],[1,5,8,9,10,11,12],[2,3,7,9,10,12,14],[2,3,8,9,11,13,14],[2,4,5,7,11,12,13],[2,4,6,8,10,12,13],[2,4,6,9,11,12,14],[2,5,6,7,8,9,12],[2,5,6,8,10,11,14],[3,4,5,8,10,11,13],[3,4,5,9,12,13,14],[3,4,6,7,10,11,14],[3,5,6,7,9,11,13],[3,5,7,8,10,12,14],[4,6,7,8,9,10,13]]; G[1546]:=Group([(1,13,14)(2,8,7)(3,4,10)(5,6,12)]); # Design 1547: autom. group order 3, simple, residual B[1547]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,7,9,10,11,14],[1,3,6,7,8,12,13],[1,3,6,8,9,10,14],[1,4,5,8,11,12,14],[1,4,6,11,12,13,14],[1,4,7,9,10,12,13],[1,5,6,7,9,11,14],[1,5,8,9,10,12,13],[2,3,7,9,11,12,13],[2,3,8,9,11,12,14],[2,4,5,6,9,10,12],[2,4,6,7,8,12,14],[2,4,7,8,10,13,14],[2,5,6,8,10,11,13],[2,5,6,9,12,13,14],[3,4,5,7,9,13,14],[3,4,5,10,11,13,14],[3,4,6,8,9,11,13],[3,5,6,7,10,11,12],[3,5,7,8,10,12,14],[4,6,7,8,9,10,11]]; G[1547]:=Group([(1,3,12)(2,11,4)(5,9,14)(6,7,13)]); # Design 1548: autom. group order 3, simple, residual B[1548]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,9,10,11],[1,3,6,11,12,13,14],[1,4,5,9,10,11,13],[1,4,6,7,8,10,14],[1,4,8,9,12,13,14],[1,5,6,7,9,10,12],[1,5,7,8,11,12,14],[2,3,7,8,10,11,12],[2,3,7,9,10,13,14],[2,4,5,6,11,12,14],[2,4,6,9,10,12,14],[2,4,7,8,9,11,14],[2,5,6,8,9,11,13],[2,5,6,8,10,12,13],[3,4,5,7,8,12,13],[3,4,5,10,11,13,14],[3,4,6,7,9,12,13],[3,5,6,7,9,11,14],[3,5,8,9,10,12,14],[4,6,7,8,10,11,13]]; G[1548]:=Group([(1,8,11)(2,13,4)(3,6,10)(7,12,14)]); # Design 1549: autom. group order 3, simple, residual B[1549]:=[[1,2,3,4,5,6,7],[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],[1,2,9,10,12,13,14],[1,3,6,7,10,12,13],[1,3,6,8,9,11,12],[1,4,5,9,11,12,13],[1,4,6,8,10,11,14],[1,4,7,8,9,13,14],[1,5,6,7,9,11,14],[1,5,7,8,10,12,14],[2,3,7,8,11,12,14],[2,3,7,9,11,13,14],[2,4,5,6,7,12,14],[2,4,6,9,10,11,14],[2,4,7,8,9,10,12],[2,5,6,8,9,12,13],[2,5,6,8,10,11,13],[3,4,5,8,10,13,14],[3,4,5,11,12,13,14],[3,4,6,7,9,10,13],[3,5,6,9,10,12,14],[3,5,7,8,9,10,11],[4,6,7,8,11,12,13]]; G[1549]:=Group([(1,8,12)(2,13,4)(3,6,11)(7,10,14)]); # Design 1550: autom. group order 3, simple, residual B[1550]:=[[1,2,3,4,5,6,7],[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],[1,3,6,7,11,12,13],[1,3,6,8,9,10,11],[1,4,5,9,10,11,13],[1,4,6,8,10,12,14],[1,4,7,8,9,13,14],[1,5,6,7,9,10,12],[1,5,7,8,11,12,14],[2,3,7,8,10,11,14],[2,3,7,9,10,12,13],[2,4,5,6,11,12,14],[2,4,6,7,9,10,14],[2,4,7,8,9,11,12],[2,5,6,8,9,11,13],[2,5,6,8,10,12,13],[3,4,5,7,8,12,13],[3,4,5,10,11,13,14],[3,4,6,9,12,13,14],[3,5,6,7,9,11,14],[3,5,8,9,10,12,14],[4,6,7,8,10,11,13]]; G[1550]:=Group([(1,8,11)(2,13,4)(3,6,10)(7,12,14)]); # Design 1551: autom. group order 3, simple, residual B[1551]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,7,8,9,11],[1,3,6,7,12,13,14],[1,4,5,8,10,13,14],[1,4,6,8,9,12,14],[1,4,7,9,10,11,13],[1,5,6,9,10,11,13],[1,5,7,8,10,12,14],[2,3,7,8,10,12,13],[2,3,8,9,10,11,14],[2,4,5,6,11,12,14],[2,4,6,9,10,12,13],[2,4,7,8,9,13,14],[2,5,6,7,8,11,13],[2,5,6,7,9,10,14],[3,4,5,7,9,12,13],[3,4,5,7,10,11,14],[3,4,6,8,11,13,14],[3,5,6,8,9,10,12],[3,5,9,11,12,13,14],[4,6,7,8,10,11,12]]; G[1551]:=Group([(1,5,13)(2,9,14)(4,12,6)(8,11,10)]); # Design 1552: autom. group order 3, simple, residual B[1552]:=[[1,2,3,4,5,6,7],[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],[1,3,6,7,8,11,12],[1,3,6,9,12,13,14],[1,4,5,11,12,13,14],[1,4,6,8,9,10,11],[1,4,7,8,10,13,14],[1,5,6,7,10,12,14],[1,5,7,8,9,11,14],[2,3,7,9,11,13,14],[2,3,8,10,11,12,14],[2,4,5,6,9,12,14],[2,4,6,7,10,11,14],[2,4,7,8,9,12,14],[2,5,6,7,8,11,13],[2,5,6,8,10,12,13],[3,4,5,7,11,12,13],[3,4,5,8,10,13,14],[3,4,6,7,9,10,13],[3,5,6,9,10,11,14],[3,5,7,8,9,10,12],[4,6,8,9,11,12,13]]; G[1552]:=Group([(1,8,12)(2,13,4)(3,6,11)(9,10,14)]); # Design 1553: autom. group order 3, simple, residual B[1553]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,12,13,14],[1,3,6,7,8,10,12],[1,3,6,9,11,12,13],[1,4,5,10,12,13,14],[1,4,6,8,10,11,14],[1,4,7,8,9,11,13],[1,5,6,7,11,12,14],[1,5,7,8,9,10,14],[2,3,7,10,11,13,14],[2,3,8,9,10,12,14],[2,4,5,6,9,12,14],[2,4,6,7,9,10,11],[2,4,7,8,11,12,14],[2,5,6,7,8,10,13],[2,5,6,8,11,12,13],[3,4,5,7,10,12,13],[3,4,5,8,11,13,14],[3,4,6,7,9,13,14],[3,5,6,9,10,11,14],[3,5,7,8,9,11,12],[4,6,8,9,10,12,13]]; G[1553]:=Group([(1,8,12)(2,13,4)(3,6,10)(9,11,14)]); # Design 1554: autom. group order 3, simple, residual B[1554]:=[[1,2,3,4,5,6,7],[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],[1,3,6,7,8,10,11],[1,3,6,9,11,12,13],[1,4,5,10,11,13,14],[1,4,6,8,10,12,14],[1,4,7,8,12,13,14],[1,5,6,7,9,11,14],[1,5,7,8,9,10,12],[2,3,7,10,12,13,14],[2,3,8,9,10,11,14],[2,4,5,6,11,12,14],[2,4,6,7,9,10,12],[2,4,7,8,9,11,14],[2,5,6,7,8,10,13],[2,5,6,8,11,12,13],[3,4,5,7,10,11,13],[3,4,5,8,9,12,13],[3,4,6,7,9,13,14],[3,5,6,9,10,12,14],[3,5,7,8,11,12,14],[4,6,8,9,10,11,13]]; G[1554]:=Group([(1,8,11)(2,13,4)(3,6,10)(9,12,14)]); # Design 1555: autom. group order 3, simple, residual B[1555]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,12,13,14],[1,3,6,7,8,10,12],[1,3,6,11,12,13,14],[1,4,5,10,12,13,14],[1,4,6,8,9,10,14],[1,4,7,8,9,11,13],[1,5,6,7,9,11,12],[1,5,7,8,10,11,14],[2,3,7,9,10,13,14],[2,3,8,9,10,11,12],[2,4,5,6,9,12,14],[2,4,6,7,10,11,14],[2,4,7,8,11,12,14],[2,5,6,7,8,10,13],[2,5,6,8,11,12,13],[3,4,5,7,10,12,13],[3,4,5,8,11,13,14],[3,4,6,7,9,11,13],[3,5,6,9,10,11,14],[3,5,7,8,9,12,14],[4,6,8,9,10,12,13]]; G[1555]:=Group([(1,8,12)(2,13,4)(3,6,10)(9,11,14)]); # Design 1556: autom. group order 3, simple, residual B[1556]:=[[1,2,3,4,5,6,7],[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],[1,2,7,10,12,13,14],[1,3,6,7,8,11,12],[1,3,6,9,10,12,13],[1,4,5,11,12,13,14],[1,4,6,8,10,11,14],[1,4,7,8,9,13,14],[1,5,6,7,9,12,14],[1,5,7,8,9,10,11],[2,3,7,9,11,13,14],[2,3,8,9,11,12,14],[2,4,5,6,9,12,14],[2,4,6,7,10,11,14],[2,4,7,8,9,10,12],[2,5,6,7,8,11,13],[2,5,6,8,10,12,13],[3,4,5,7,11,12,13],[3,4,5,8,10,13,14],[3,4,6,7,9,10,13],[3,5,6,9,10,11,14],[3,5,7,8,10,12,14],[4,6,8,9,11,12,13]]; G[1556]:=Group([(1,8,12)(2,13,4)(3,6,11)(9,10,14)]); # Design 1557: autom. group order 3, simple, residual B[1557]:=[[1,2,3,4,5,6,7],[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],[1,3,6,7,8,10,12],[1,3,6,9,11,12,13],[1,4,5,10,12,13,14],[1,4,6,8,10,11,14],[1,4,7,8,9,11,13],[1,5,6,7,9,12,14],[1,5,7,8,9,10,11],[2,3,7,9,10,11,13],[2,3,8,9,10,12,14],[2,4,5,6,9,11,12],[2,4,6,7,9,10,14],[2,4,7,8,11,12,14],[2,5,6,7,8,10,13],[2,5,6,8,11,12,13],[3,4,5,7,10,12,13],[3,4,5,8,9,13,14],[3,4,6,7,11,13,14],[3,5,6,9,10,11,14],[3,5,7,8,11,12,14],[4,6,8,9,10,12,13]]; G[1557]:=Group([(1,8,12)(2,13,4)(3,6,10)(9,11,14)]); # Design 1558: autom. group order 3, simple, residual B[1558]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,9,10,11,12,13],[1,3,6,7,8,11,13],[1,3,6,7,9,12,14],[1,4,5,7,9,10,11],[1,4,6,9,11,13,14],[1,4,7,8,10,12,14],[1,5,6,8,10,12,14],[1,5,7,8,9,12,13],[2,3,7,8,9,10,13],[2,3,7,8,11,12,14],[2,4,5,6,8,12,13],[2,4,6,8,9,10,14],[2,4,7,9,12,13,14],[2,5,6,7,9,11,14],[2,5,6,7,10,11,12],[3,4,5,7,10,13,14],[3,4,5,11,12,13,14],[3,4,6,8,9,11,12],[3,5,6,9,10,12,13],[3,5,8,9,10,11,14],[4,6,7,8,10,11,13]]; G[1558]:=Group([(1,5,11)(3,6,12)(4,7,10)(8,14,13)]); # Design 1559: autom. group order 3, simple B[1559]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,8,10,12,13,14],[1,3,6,7,8,12,13],[1,3,6,9,11,12,14],[1,4,5,9,10,13,14],[1,4,6,7,8,9,14],[1,4,8,9,11,12,13],[1,5,6,7,10,11,14],[1,5,7,9,10,11,12],[2,3,7,8,9,11,14],[2,3,7,9,10,11,13],[2,4,5,7,12,13,14],[2,4,6,7,9,10,12],[2,4,6,9,11,13,14],[2,5,6,8,9,10,12],[2,5,6,8,11,12,14],[3,4,5,6,11,12,13],[3,4,5,8,10,11,14],[3,4,7,8,10,12,14],[3,5,6,8,9,10,13],[3,5,7,9,12,13,14],[4,6,7,8,10,11,13]]; G[1559]:=Group([(2,5,10)(3,7,14)(4,11,13)(8,9,12)]); # Design 1560: autom. group order 3, simple B[1560]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,9,10,13,14],[1,3,6,7,8,9,14],[1,3,6,7,11,12,13],[1,4,5,10,11,13,14],[1,4,6,8,9,11,13],[1,4,7,9,11,12,14],[1,5,6,8,9,10,12],[1,5,7,8,10,12,14],[2,3,7,8,11,12,14],[2,3,8,9,10,12,13],[2,4,5,7,8,13,14],[2,4,6,7,8,10,11],[2,4,6,9,12,13,14],[2,5,6,7,9,10,11],[2,5,6,9,11,12,14],[3,4,5,6,10,12,14],[3,4,5,7,9,12,13],[3,4,8,9,10,11,14],[3,5,6,8,11,13,14],[3,5,7,9,10,11,13],[4,6,7,8,10,12,13]]; G[1560]:=Group([(2,5,10)(3,8,14)(4,12,13)(6,9,7)]); # Design 1561: autom. group order 3, simple, residual B[1561]:=[[1,2,3,4,5,6,7],[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],[1,3,6,7,11,13,14],[1,3,6,8,9,12,14],[1,4,5,7,10,13,14],[1,4,7,8,10,12,14],[1,4,8,9,11,13,14],[1,5,6,7,8,11,12],[1,5,6,9,10,12,13],[2,3,7,8,10,11,14],[2,3,7,9,12,13,14],[2,4,5,8,12,13,14],[2,4,6,7,9,10,13],[2,4,6,8,11,12,13],[2,5,6,7,8,9,14],[2,5,6,10,11,12,14],[3,4,5,6,11,13,14],[3,4,5,7,9,11,12],[3,4,6,9,10,12,14],[3,5,7,8,10,12,13],[3,5,8,9,10,11,13],[4,6,7,8,9,10,11]]; G[1561]:=Group([(1,8,11)(2,3,10)(4,13,14)(6,7,12)]); # Design 1562: autom. group order 3, simple, residual B[1562]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,8,10,13,14],[1,3,7,8,9,10,11],[1,4,5,6,8,12,13],[1,4,6,7,9,11,14],[1,4,6,9,11,12,14],[1,5,7,9,10,12,13],[1,5,8,10,11,12,14],[2,3,6,7,8,11,12],[2,3,9,11,12,13,14],[2,4,5,8,11,13,14],[2,4,6,9,10,12,13],[2,4,7,8,10,12,14],[2,5,6,7,9,10,14],[2,5,6,8,9,10,11],[3,4,5,7,10,12,14],[3,4,5,9,10,11,13],[3,4,7,8,9,13,14],[3,5,6,7,11,12,13],[3,5,6,8,9,12,14],[4,6,7,8,10,11,13]]; G[1562]:=Group([(1,6,14)(3,10,13)(4,9,11)]); # Design 1563: autom. group order 3, simple, residual B[1563]:=[[1,2,3,4,5,6,7],[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],[1,3,6,7,8,9,13],[1,3,7,9,11,12,14],[1,4,5,6,8,12,14],[1,4,6,11,12,13,14],[1,4,7,8,9,10,11],[1,5,6,9,10,11,14],[1,5,8,9,10,12,13],[2,3,6,8,10,12,14],[2,3,8,9,11,13,14],[2,4,5,9,11,12,13],[2,4,6,7,9,12,13],[2,4,6,8,9,10,14],[2,5,6,7,9,11,14],[2,5,7,8,10,11,12],[3,4,5,7,10,13,14],[3,4,5,8,11,13,14],[3,4,7,9,10,12,14],[3,5,6,7,8,11,12],[3,5,6,9,10,12,13],[4,6,7,8,10,11,13]]; G[1563]:=Group([(1,8,9)(2,11,12)(3,7,13)(4,10,5)]); # Design 1564: autom. group order 3, simple, residual B[1564]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,9,11,12,13],[1,3,7,9,11,12,14],[1,4,5,6,9,12,14],[1,4,6,8,10,13,14],[1,4,7,8,9,11,13],[1,5,6,7,8,10,12],[1,5,8,9,10,11,14],[2,3,6,7,8,9,14],[2,3,8,9,10,12,13],[2,4,5,11,12,13,14],[2,4,6,7,9,10,11],[2,4,6,8,11,12,14],[2,5,6,8,9,11,13],[2,5,7,9,10,12,14],[3,4,5,7,8,12,13],[3,4,5,9,10,13,14],[3,4,7,8,10,11,14],[3,5,6,7,11,13,14],[3,5,6,8,10,11,12],[4,6,7,9,10,12,13]]; G[1564]:=Group([(1,4,12)(2,11,3)(5,14,9)(7,8,13)]); # Design 1565: autom. group order 3, simple B[1565]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,9,10,11,14],[1,3,8,11,12,13,14],[1,4,5,6,11,12,14],[1,4,6,7,9,12,13],[1,4,7,8,9,10,11],[1,5,6,7,8,12,14],[1,5,8,9,10,12,13],[2,3,6,7,11,12,13],[2,3,7,8,9,12,14],[2,4,5,9,11,12,13],[2,4,6,8,9,13,14],[2,4,6,8,10,12,14],[2,5,6,9,10,11,14],[2,5,7,8,10,11,12],[3,4,5,7,10,13,14],[3,4,5,8,11,13,14],[3,4,7,9,10,12,14],[3,5,6,7,8,9,11],[3,5,6,9,10,12,13],[4,6,7,8,10,11,13]]; G[1565]:=Group([(1,8,9)(2,11,12)(3,7,13)(4,10,5)]); # Design 1566: autom. group order 3, simple, residual B[1566]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,7,8,9,12],[1,3,7,8,10,13,14],[1,4,5,6,10,12,14],[1,4,6,8,11,12,13],[1,4,7,9,11,12,13],[1,5,6,7,9,11,14],[1,5,8,9,10,12,14],[2,3,6,9,11,12,14],[2,3,7,8,11,12,14],[2,4,5,8,12,13,14],[2,4,6,7,9,10,13],[2,4,7,9,10,12,14],[2,5,6,7,8,12,13],[2,5,6,8,9,10,11],[3,4,5,7,8,10,11],[3,4,5,9,11,13,14],[3,4,6,8,9,13,14],[3,5,6,10,11,12,13],[3,5,7,9,10,12,13],[4,6,7,8,10,11,14]]; G[1566]:=Group([(1,3,12)(2,11,4)(5,14,13)(7,9,8)]); # Design 1567: autom. group order 3, simple, residual B[1567]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,7,8,9,12],[1,3,7,8,10,13,14],[1,4,5,6,10,12,14],[1,4,6,9,11,12,13],[1,4,7,8,11,12,13],[1,5,6,8,9,11,14],[1,5,7,9,10,12,14],[2,3,6,8,11,12,14],[2,3,7,9,11,12,14],[2,4,5,7,12,13,14],[2,4,6,8,9,10,13],[2,4,8,9,10,12,14],[2,5,6,7,8,12,13],[2,5,6,7,9,10,11],[3,4,5,7,8,10,11],[3,4,5,9,11,13,14],[3,4,6,7,9,13,14],[3,5,6,10,11,12,13],[3,5,8,9,10,12,13],[4,6,7,8,10,11,14]]; G[1567]:=Group([(1,3,12)(2,11,4)(5,14,13)(7,8,9)]); # Design 1568: autom. group order 3, simple, residual B[1568]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,7,8,9,12],[1,3,8,9,10,13,14],[1,4,5,6,10,12,14],[1,4,6,8,11,12,13],[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],[2,3,7,8,11,12,14],[2,4,5,9,12,13,14],[2,4,6,7,8,10,13],[2,4,7,8,10,12,14],[2,5,6,7,9,10,11],[2,5,6,8,9,12,13],[3,4,5,7,11,13,14],[3,4,5,8,9,10,11],[3,4,6,7,9,13,14],[3,5,6,10,11,12,13],[3,5,7,8,10,12,13],[4,6,8,9,10,11,14]]; G[1568]:=Group([(1,3,12)(2,11,4)(5,14,13)(7,9,8)]); # Design 1569: autom. group order 3, simple B[1569]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,9,10,12,13],[1,3,7,8,10,11,14],[1,4,5,6,11,13,14],[1,4,6,7,9,12,14],[1,4,7,8,10,12,13],[1,5,6,8,9,11,12],[1,5,7,8,9,10,14],[2,3,6,8,9,11,14],[2,3,7,8,9,12,13],[2,4,5,8,10,13,14],[2,4,6,7,8,12,14],[2,4,9,10,11,12,14],[2,5,6,7,9,10,13],[2,5,6,7,10,11,12],[3,4,5,7,9,10,11],[3,4,5,9,12,13,14],[3,4,6,7,8,11,13],[3,5,6,8,10,12,14],[3,5,7,11,12,13,14],[4,6,8,9,10,11,13]]; G[1569]:=Group([(1,6,12)(3,7,11)(4,5,10)(8,13,14)]); # Design 1570: autom. group order 3, simple, residual B[1570]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,8,9,11,14],[1,3,6,8,9,10,12],[1,3,7,10,11,13,14],[1,4,5,6,11,13,14],[1,4,6,7,9,12,13],[1,4,7,8,10,12,13],[1,5,6,9,11,12,14],[1,5,7,8,9,10,14],[2,3,6,8,9,11,13],[2,3,7,9,12,13,14],[2,4,5,8,10,13,14],[2,4,6,7,8,12,14],[2,4,9,10,11,12,14],[2,5,6,7,9,10,13],[2,5,6,7,10,11,12],[3,4,5,7,9,10,11],[3,4,5,9,12,13,14],[3,4,6,7,8,11,14],[3,5,6,8,10,12,14],[3,5,7,8,11,12,13],[4,6,8,9,10,11,13]]; G[1570]:=Group([(1,6,12)(3,7,11)(4,5,10)(8,13,14)]); # Design 1571: autom. group order 3, simple B[1571]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,9,11,14],[1,3,6,7,8,12,13],[1,3,7,9,10,13,14],[1,4,5,6,9,12,14],[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],[2,3,6,9,11,12,14],[2,3,8,9,12,13,14],[2,4,5,10,12,13,14],[2,4,6,7,8,9,10],[2,4,6,7,11,13,14],[2,5,6,7,9,12,13],[2,5,7,8,10,11,12],[3,4,5,7,11,13,14],[3,4,5,8,9,11,13],[3,4,6,8,10,12,14],[3,5,6,7,8,10,14],[3,5,7,9,10,11,12],[4,6,8,9,10,11,13]]; G[1571]:=Group([(1,10,14)(2,6,7)(3,8,11)(5,9,13)]); # Design 1572: autom. group order 3, simple, residual B[1572]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,8,10,13,14],[1,3,7,8,9,10,11],[1,4,5,7,10,12,13],[1,4,6,7,9,11,14],[1,4,6,9,11,12,14],[1,5,6,8,11,12,13],[1,5,8,9,10,12,14],[2,3,6,7,8,11,12],[2,3,9,11,12,13,14],[2,4,5,8,11,13,14],[2,4,6,9,10,12,13],[2,4,7,8,10,12,14],[2,5,6,7,9,10,14],[2,5,6,8,9,10,11],[3,4,5,6,8,12,14],[3,4,5,9,10,11,13],[3,4,7,8,9,13,14],[3,5,6,7,9,12,13],[3,5,7,10,11,12,14],[4,6,7,8,10,11,13]]; G[1572]:=Group([(1,6,14)(3,10,13)(4,9,11)]); # Design 1573: autom. group order 3, simple, residual B[1573]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,9,11,12,13],[1,3,7,8,9,10,14],[1,4,5,7,10,11,13],[1,4,6,7,10,12,14],[1,4,6,8,9,11,14],[1,5,6,8,11,12,14],[1,5,8,9,10,12,13],[2,3,6,7,8,9,12],[2,3,8,10,11,13,14],[2,4,5,9,12,13,14],[2,4,6,8,10,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,10,11],[2,5,6,9,10,11,14],[3,4,5,6,8,11,13],[3,4,5,9,10,12,14],[3,4,7,9,11,13,14],[3,5,6,7,12,13,14],[3,5,7,8,10,11,12],[4,6,7,8,9,10,13]]; G[1573]:=Group([(1,4,13)(2,6,9)(3,8,12)(5,10,11)]); # Design 1574: autom. group order 3, simple, residual B[1574]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,9,11,12,13],[1,3,7,8,9,10,14],[1,4,5,10,11,13,14],[1,4,6,7,10,12,14],[1,4,6,8,9,11,14],[1,5,6,7,8,11,12],[1,5,8,9,10,12,13],[2,3,6,8,9,12,14],[2,3,7,8,10,11,13],[2,4,5,9,12,13,14],[2,4,6,8,10,12,13],[2,4,7,8,11,12,14],[2,5,6,7,9,10,11],[2,5,6,9,10,11,14],[3,4,5,6,8,11,13],[3,4,5,7,9,10,12],[3,4,7,9,11,13,14],[3,5,6,7,12,13,14],[3,5,8,10,11,12,14],[4,6,7,8,9,10,13]]; G[1574]:=Group([(1,4,13)(2,6,9)(3,8,12)(5,10,11)]); # Design 1575: autom. group order 3, simple, residual B[1575]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,8,10,13,14],[1,3,7,8,9,10,11],[1,4,5,8,10,12,14],[1,4,6,7,9,11,14],[1,4,6,9,11,12,14],[1,5,6,8,9,12,13],[1,5,7,10,11,12,13],[2,3,6,7,8,11,12],[2,3,9,11,12,13,14],[2,4,5,8,11,13,14],[2,4,6,9,10,12,13],[2,4,7,8,10,12,14],[2,5,6,7,9,10,14],[2,5,6,8,9,10,11],[3,4,5,6,7,12,13],[3,4,5,9,10,11,13],[3,4,7,8,9,13,14],[3,5,6,8,11,12,14],[3,5,7,9,10,12,14],[4,6,7,8,10,11,13]]; G[1575]:=Group([(1,6,14)(3,10,13)(4,9,11)]); # Design 1576: autom. group order 3, simple, residual B[1576]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,7,8,11,13],[1,2,9,10,11,12,13],[1,3,6,7,9,12,13],[1,3,7,8,10,11,14],[1,4,5,7,12,13,14],[1,4,6,7,8,9,10],[1,4,6,8,11,12,14],[1,5,6,9,11,12,14],[1,5,8,9,10,13,14],[2,3,6,8,9,11,14],[2,3,7,8,12,13,14],[2,4,5,8,10,12,14],[2,4,6,8,9,12,13],[2,4,7,9,11,13,14],[2,5,6,7,9,10,14],[2,5,6,7,10,11,12],[3,4,5,6,11,13,14],[3,4,5,9,10,11,13],[3,4,7,9,10,12,14],[3,5,6,8,10,12,13],[3,5,7,8,9,11,12],[4,6,7,8,10,11,13]]; G[1576]:=Group([(1,5,10)(3,7,12)(4,6,11)(8,14,13)]); # Design 1577: autom. group order 3, simple, residual B[1577]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,11,13],[1,2,5,7,10,12,14],[1,2,8,9,11,13,14],[1,3,6,7,8,12,13],[1,3,7,8,12,13,14],[1,4,5,8,10,13,14],[1,4,6,7,9,10,14],[1,4,6,9,11,12,14],[1,5,6,7,8,9,11],[1,5,9,10,11,12,13],[2,3,6,8,9,10,14],[2,3,7,9,11,12,14],[2,4,5,7,9,12,13],[2,4,6,8,9,12,13],[2,4,7,8,10,11,13],[2,5,6,7,11,13,14],[2,5,6,8,10,12,14],[3,4,5,6,11,13,14],[3,4,5,8,11,12,14],[3,4,7,9,10,13,14],[3,5,6,9,10,12,13],[3,5,7,8,9,10,11],[4,6,7,8,10,11,12]]; G[1577]:=Group([(1,8,13)(2,11,9)(3,7,12)(4,10,5)]); # Design 1578: autom. group order 3, simple, residual B[1578]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,7,8,11,14],[1,3,7,8,9,10,13],[1,4,5,11,12,13,14],[1,4,6,8,10,12,14],[1,4,6,9,10,11,13],[1,5,6,7,9,12,14],[1,5,7,9,10,12,13],[2,3,6,9,11,12,13],[2,3,7,9,10,12,14],[2,4,5,8,9,10,14],[2,4,6,7,8,12,13],[2,4,7,9,11,13,14],[2,5,6,7,10,11,14],[2,5,6,8,10,12,13],[3,4,5,6,9,13,14],[3,4,5,7,10,11,12],[3,4,7,8,12,13,14],[3,5,6,8,9,11,12],[3,5,8,10,11,13,14],[4,6,7,8,9,10,11]]; G[1578]:=Group([(1,2,13)(3,6,10)(4,12,9)(5,8,7)]); # Design 1579: autom. group order 3, simple B[1579]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,10,11,13],[1,2,7,8,9,11,13],[1,3,6,7,9,12,13],[1,3,7,8,12,13,14],[1,4,5,7,9,11,14],[1,4,6,8,9,10,12],[1,4,6,8,11,12,14],[1,5,6,9,10,13,14],[1,5,7,10,11,12,14],[2,3,6,7,8,11,14],[2,3,9,10,11,12,14],[2,4,5,7,12,13,14],[2,4,6,7,9,10,14],[2,4,8,9,12,13,14],[2,5,6,7,8,10,12],[2,5,6,9,11,12,13],[3,4,5,6,11,12,13],[3,4,5,8,10,13,14],[3,4,7,9,10,11,13],[3,5,6,8,9,11,14],[3,5,7,8,9,10,12],[4,6,7,8,10,11,13]]; G[1579]:=Group([(1,11,12)(2,6,7)(3,8,5)(4,14,10)]); # Design 1580: autom. group order 3, simple, residual B[1580]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,10,12,14],[1,3,6,7,8,12,13],[1,3,7,8,12,13,14],[1,4,5,7,11,12,14],[1,4,6,8,9,11,14],[1,4,6,9,10,13,14],[1,5,6,9,11,12,13],[1,5,7,8,9,10,11],[2,3,6,7,9,11,14],[2,3,8,9,11,12,14],[2,4,5,7,9,12,13],[2,4,6,8,9,12,13],[2,4,7,8,10,11,13],[2,5,6,7,11,13,14],[2,5,6,8,10,12,14],[3,4,5,6,10,12,14],[3,4,5,8,11,13,14],[3,4,7,9,10,13,14],[3,5,6,7,8,9,10],[3,5,9,10,11,12,13],[4,6,7,8,10,11,12]]; G[1580]:=Group([(1,7,12)(2,10,9)(3,8,13)(4,11,5)]); # Design 1581: autom. group order 3, simple, residual B[1581]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,11,12,14],[1,3,6,7,8,12,13],[1,3,7,8,12,13,14],[1,4,5,7,11,13,14],[1,4,6,8,9,10,14],[1,4,6,9,11,13,14],[1,5,6,9,10,12,13],[1,5,7,8,9,10,11],[2,3,6,7,9,10,14],[2,3,8,9,11,13,14],[2,4,5,7,9,12,13],[2,4,6,8,9,12,13],[2,4,7,8,10,11,13],[2,5,6,7,10,13,14],[2,5,6,8,11,12,14],[3,4,5,6,11,12,14],[3,4,5,8,10,13,14],[3,4,7,9,10,12,14],[3,5,6,7,8,9,11],[3,5,9,10,11,12,13],[4,6,7,8,10,11,12]]; G[1581]:=Group([(1,7,12)(2,11,9)(3,8,13)(4,10,5)]); # Design 1582: autom. group order 3, simple, residual B[1582]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,7,9,12,13],[1,3,7,8,9,10,14],[1,4,5,11,12,13,14],[1,4,6,7,8,10,12],[1,4,6,9,11,12,14],[1,5,6,7,8,11,14],[1,5,8,9,10,12,13],[2,3,6,8,11,12,13],[2,3,7,8,11,12,14],[2,4,5,7,10,12,14],[2,4,6,9,10,13,14],[2,4,7,8,9,12,13],[2,5,6,7,9,10,11],[2,5,6,8,9,12,14],[3,4,5,6,8,13,14],[3,4,5,7,9,11,13],[3,4,8,9,10,11,14],[3,5,6,9,10,11,12],[3,5,7,10,12,13,14],[4,6,7,8,10,11,13]]; G[1582]:=Group([(1,3,12)(2,11,4)(5,8,14)(7,13,9)]); # Design 1583: autom. group order 3, simple, residual B[1583]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,11,13,14],[1,3,6,7,8,12,13],[1,3,7,8,12,13,14],[1,4,5,8,11,13,14],[1,4,6,7,9,11,14],[1,4,6,9,10,12,14],[1,5,6,7,8,9,10],[1,5,9,10,11,12,13],[2,3,6,8,9,11,14],[2,3,7,9,10,12,14],[2,4,5,7,9,12,13],[2,4,6,8,9,12,13],[2,4,7,8,10,11,13],[2,5,6,7,10,13,14],[2,5,6,8,11,12,14],[3,4,5,6,10,13,14],[3,4,5,7,11,12,14],[3,4,8,9,10,13,14],[3,5,6,9,11,12,13],[3,5,7,8,9,10,11],[4,6,7,8,10,11,12]]; G[1583]:=Group([(1,8,13)(2,10,9)(3,7,12)(4,11,5)]); # Design 1584: autom. group order 3, simple, residual B[1584]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,7,8,12,14],[1,3,7,9,11,13,14],[1,4,5,10,11,12,14],[1,4,6,8,9,10,13],[1,4,6,8,9,11,12],[1,5,6,7,11,12,13],[1,5,7,8,9,10,14],[2,3,6,9,11,12,14],[2,3,7,8,9,10,11],[2,4,5,7,9,12,14],[2,4,6,7,8,11,13],[2,4,7,8,12,13,14],[2,5,6,8,10,11,14],[2,5,6,9,10,12,13],[3,4,5,6,9,13,14],[3,4,5,7,10,11,13],[3,4,8,10,12,13,14],[3,5,6,7,8,10,12],[3,5,8,9,11,12,13],[4,6,7,9,10,11,14]]; G[1584]:=Group([(2,8,12)(3,9,11)(5,6,10)(7,13,14)]); # Design 1585: autom. group order 3, simple B[1585]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,7,8,9,12],[1,3,8,11,12,13,14],[1,4,5,7,11,12,13],[1,4,6,7,9,13,14],[1,4,6,9,10,12,14],[1,5,6,8,10,11,12],[1,5,7,9,10,11,14],[2,3,6,9,11,12,13],[2,3,7,9,10,11,14],[2,4,5,9,11,12,14],[2,4,6,7,8,10,11],[2,4,7,8,12,13,14],[2,5,6,7,10,12,13],[2,5,6,8,9,12,14],[3,4,5,6,11,13,14],[3,4,5,8,9,10,13],[3,4,7,8,10,12,14],[3,5,6,7,8,11,14],[3,5,7,9,10,12,13],[4,6,8,9,10,11,13]]; G[1585]:=Group([(1,11,12)(2,6,7)(3,8,13)(4,10,5)]); # Design 1586: autom. group order 3, simple, residual B[1586]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,11,12,14],[1,3,6,8,9,12,14],[1,3,7,9,11,13,14],[1,4,5,7,11,13,14],[1,4,6,7,8,10,13],[1,4,6,9,12,13,14],[1,5,6,7,9,10,12],[1,5,8,10,11,12,13],[2,3,6,7,8,12,13],[2,3,7,9,10,13,14],[2,4,5,7,9,12,13],[2,4,6,9,10,11,14],[2,4,8,9,11,12,13],[2,5,6,7,8,11,14],[2,5,6,10,12,13,14],[3,4,5,6,11,12,14],[3,4,5,8,10,13,14],[3,4,7,8,10,12,14],[3,5,6,8,9,11,13],[3,5,7,9,10,11,12],[4,6,7,8,9,10,11]]; G[1586]:=Group([(1,4,7)(2,10,14)(3,8,11)(5,6,13)]); # Design 1587: autom. group order 3, simple, residual B[1587]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,12,13],[1,2,7,8,9,11,14],[1,3,6,9,11,12,14],[1,3,7,8,9,10,13],[1,4,5,7,11,13,14],[1,4,6,7,8,12,14],[1,4,6,9,10,11,13],[1,5,6,8,10,12,14],[1,5,7,9,10,12,13],[2,3,6,7,8,11,13],[2,3,7,9,10,12,14],[2,4,5,8,9,10,14],[2,4,6,8,10,12,13],[2,4,9,11,12,13,14],[2,5,6,7,9,12,13],[2,5,6,7,10,11,14],[3,4,5,6,9,13,14],[3,4,5,7,10,11,12],[3,4,7,8,12,13,14],[3,5,6,8,9,11,12],[3,5,8,10,11,13,14],[4,6,7,8,9,10,11]]; G[1587]:=Group([(2,13,14)(3,10,6)(4,9,12)(5,7,8)]); # Design 1588: autom. group order 3, simple, residual B[1588]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,8,9,11,12],[1,3,7,9,11,13,14],[1,4,5,7,9,10,14],[1,4,6,7,8,12,14],[1,4,6,8,10,11,13],[1,5,6,9,10,12,14],[1,5,7,9,11,12,13],[2,3,6,7,9,12,13],[2,3,7,8,9,10,14],[2,4,5,8,9,12,13],[2,4,6,9,11,13,14],[2,4,9,10,11,12,14],[2,5,6,7,8,11,14],[2,5,6,7,10,11,12],[3,4,5,6,12,13,14],[3,4,5,7,10,11,13],[3,4,7,8,11,12,14],[3,5,6,8,9,10,11],[3,5,8,10,12,13,14],[4,6,7,8,9,10,13]]; G[1588]:=Group([(1,6,12)(3,7,10)(4,5,11)(8,14,9)]); # Design 1589: autom. group order 3, simple, residual B[1589]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,8,11,12,13],[1,3,7,9,10,11,14],[1,4,5,8,12,13,14],[1,4,6,7,8,9,10],[1,4,6,7,11,13,14],[1,5,6,7,9,12,13],[1,5,9,10,11,12,14],[2,3,6,9,12,13,14],[2,3,7,8,9,11,13],[2,4,5,7,11,13,14],[2,4,6,8,10,12,14],[2,4,7,9,10,12,13],[2,5,6,7,10,11,12],[2,5,6,8,9,11,14],[3,4,5,6,9,11,12],[3,4,5,9,10,13,14],[3,4,7,8,11,12,14],[3,5,6,7,8,10,14],[3,5,7,8,10,12,13],[4,6,8,9,10,11,13]]; G[1589]:=Group([(1,6,7)(2,8,11)(3,10,14)(5,9,13)]); # Design 1590: autom. group order 3, simple, residual B[1590]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,9,11,12,14],[1,3,7,8,9,10,14],[1,4,5,9,12,13,14],[1,4,6,7,8,9,11],[1,4,6,7,10,13,14],[1,5,6,8,10,12,13],[1,5,7,8,10,11,12],[2,3,6,7,8,11,13],[2,3,8,9,10,12,13],[2,4,5,7,9,10,13],[2,4,6,8,9,12,14],[2,4,7,10,11,12,14],[2,5,6,7,8,12,14],[2,5,6,9,10,11,14],[3,4,5,6,11,12,13],[3,4,5,8,10,11,14],[3,4,7,8,12,13,14],[3,5,6,7,9,10,12],[3,5,7,9,11,13,14],[4,6,8,9,10,11,13]]; G[1590]:=Group([(1,4,6)(2,8,10)(3,9,13)(5,11,14)]); # Design 1591: autom. group order 3, simple, residual B[1591]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,6,10,13,14],[1,2,5,8,11,13,14],[1,2,7,8,9,13,14],[1,3,6,7,8,12,13],[1,3,7,9,10,12,14],[1,4,5,7,10,11,13],[1,4,6,9,10,11,14],[1,4,8,9,11,12,13],[1,5,6,7,9,11,12],[1,5,6,8,10,12,14],[2,3,6,8,9,11,12],[2,3,7,9,10,11,13],[2,4,5,7,9,12,14],[2,4,6,11,12,13,14],[2,4,7,8,10,12,14],[2,5,6,7,8,10,11],[2,5,6,9,10,12,13],[3,4,5,6,9,13,14],[3,4,5,8,10,12,13],[3,4,6,7,8,11,14],[3,5,7,11,12,13,14],[3,5,8,9,10,11,14],[4,6,7,8,9,10,13]]; G[1591]:=Group([(1,4,14)(3,12,13)(5,7,8)(6,10,11)]); # Design 1592: autom. group order 3, simple, residual B[1592]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,7,9,11,12],[1,3,6,8,9,13,14],[1,4,5,7,8,12,14],[1,4,6,8,9,10,11],[1,4,7,11,12,13,14],[1,5,7,9,10,11,14],[1,5,8,9,10,12,13],[2,3,7,8,9,11,13],[2,3,7,8,10,12,14],[2,4,5,9,11,12,13],[2,4,6,9,12,13,14],[2,4,7,8,9,10,14],[2,5,6,7,9,11,14],[2,5,6,8,10,11,12],[3,4,5,6,7,10,13],[3,4,5,8,11,13,14],[3,4,6,9,10,12,14],[3,5,6,8,11,12,14],[3,5,7,9,10,12,13],[4,6,7,8,10,11,13]]; G[1592]:=Group([(1,8,9)(2,11,12)(3,6,13)(4,10,5)]); # Design 1593: autom. group order 3, simple B[1593]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,8,9,10,14],[1,3,7,8,9,11,12],[1,4,5,6,11,13,14],[1,4,6,7,9,12,13],[1,4,7,9,10,13,14],[1,5,7,8,9,11,14],[1,5,8,10,11,12,13],[2,3,6,7,9,11,13],[2,3,7,8,12,13,14],[2,4,5,7,8,10,14],[2,4,6,8,9,10,11],[2,4,8,9,12,13,14],[2,5,6,9,11,12,14],[2,5,7,9,10,11,13],[3,4,5,7,11,12,14],[3,4,5,9,10,12,13],[3,4,6,8,11,13,14],[3,5,6,7,8,10,13],[3,5,6,9,10,12,14],[4,6,7,8,10,11,12]]; G[1593]:=Group([(1,11,13)(2,4,8)(3,6,12)(5,10,14)]); # Design 1594: autom. group order 3, simple B[1594]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,7,8,10,14],[1,3,7,8,9,11,12],[1,4,5,6,11,13,14],[1,4,6,7,9,12,13],[1,4,7,9,10,13,14],[1,5,7,8,9,11,14],[1,5,8,10,11,12,13],[2,3,6,7,9,11,13],[2,3,7,8,12,13,14],[2,4,5,7,8,10,14],[2,4,6,8,9,10,11],[2,4,8,9,12,13,14],[2,5,6,7,11,12,14],[2,5,7,9,10,11,13],[3,4,5,7,10,12,13],[3,4,5,9,11,12,14],[3,4,6,8,11,13,14],[3,5,6,8,9,10,13],[3,5,6,9,10,12,14],[4,6,7,8,10,11,12]]; G[1594]:=Group([(1,11,13)(2,4,8)(3,6,12)(5,10,14)]); # Design 1595: autom. group order 3, simple, residual B[1595]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,8,10,12],[1,2,6,7,9,11,13],[1,3,6,7,8,12,13],[1,3,7,8,12,13,14],[1,4,5,8,11,13,14],[1,4,6,7,9,11,14],[1,4,6,9,10,12,14],[1,5,7,8,9,10,14],[1,5,9,10,11,12,13],[2,3,6,8,9,11,14],[2,3,7,9,10,12,14],[2,4,5,7,9,12,13],[2,4,7,8,10,11,13],[2,4,8,9,12,13,14],[2,5,6,7,10,13,14],[2,5,6,8,11,12,14],[3,4,5,6,10,13,14],[3,4,5,7,11,12,14],[3,4,6,8,9,10,13],[3,5,6,9,11,12,13],[3,5,7,8,9,10,11],[4,6,7,8,10,11,12]]; G[1595]:=Group([(1,8,13)(2,10,9)(3,7,12)(4,11,5)]); # Design 1596: autom. group order 3, simple, residual B[1596]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,4,10,11,12],[1,2,3,10,11,13,14],[1,2,5,6,10,12,13],[1,2,7,8,9,11,14],[1,3,6,7,8,12,14],[1,3,6,8,12,13,14],[1,4,5,7,8,10,14],[1,4,6,7,9,10,13],[1,4,7,9,11,12,13],[1,5,6,8,9,11,13],[1,5,9,10,11,12,14],[2,3,6,7,9,11,12],[2,3,7,8,9,10,13],[2,4,5,6,9,12,14],[2,4,6,8,10,11,14],[2,4,8,9,12,13,14],[2,5,6,7,11,13,14],[2,5,7,8,10,12,13],[3,4,5,7,11,13,14],[3,4,5,8,11,12,13],[3,4,6,9,10,13,14],[3,5,6,8,9,10,11],[3,5,7,9,10,12,14],[4,6,7,8,10,11,12]]; G[1596]:=Group([(1,8,14)(2,11,9)(3,6,12)(4,10,5)]); # Design 1597: autom. group order 3, simple, residual B[1597]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[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],[1,3,6,8,9,12,13],[1,3,6,9,12,13,14],[1,4,5,9,11,12,14],[1,4,6,7,8,11,14],[1,4,7,8,10,13,14],[1,5,6,7,9,10,11],[1,5,7,8,11,12,13],[2,3,6,7,8,11,12],[2,3,7,8,9,11,14],[2,4,5,7,9,12,13],[2,4,6,7,12,13,14],[2,4,6,9,10,11,13],[2,5,6,8,10,12,14],[2,5,8,9,11,13,14],[3,4,5,6,11,13,14],[3,4,5,8,10,12,14],[3,4,7,8,9,10,13],[3,5,6,7,9,10,14],[3,5,7,10,11,12,13],[4,6,8,9,10,11,12]]; G[1597]:=Group([(1,9,12)(2,10,7)(3,6,13)(4,11,5)]); # Design 1598: autom. group order 3, simple, residual B[1598]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,10,12,13],[1,3,6,8,9,11,12],[1,3,6,9,10,13,14],[1,4,5,7,10,11,12],[1,4,5,9,12,13,14],[1,4,7,9,10,11,14],[1,6,7,8,10,12,13],[1,6,7,8,11,13,14],[2,3,7,8,10,12,14],[2,3,7,9,10,11,13],[2,4,6,7,9,12,13],[2,4,6,8,9,12,14],[2,4,7,8,11,13,14],[2,5,6,9,10,11,13],[2,5,6,10,11,12,14],[3,4,5,6,8,11,13],[3,4,5,8,10,13,14],[3,4,6,10,11,12,14],[3,5,7,8,9,11,12],[3,5,7,9,12,13,14],[4,5,6,7,8,9,10]]; G[1598]:=Group([(1,2,3)(5,7,6)(8,10,9)(11,12,13)]); # Design 1599: autom. group order 3, simple, residual B[1599]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,10,13,14],[1,3,6,8,9,11,14],[1,3,6,9,10,12,13],[1,4,5,7,10,11,12],[1,4,5,9,10,13,14],[1,4,7,8,11,13,14],[1,6,7,8,9,12,13],[1,6,7,10,11,12,14],[2,3,7,8,10,11,13],[2,3,7,9,10,12,14],[2,4,6,7,9,11,13],[2,4,6,10,12,13,14],[2,4,7,8,9,12,14],[2,5,6,8,10,11,12],[2,5,6,9,11,13,14],[3,4,5,6,8,12,13],[3,4,5,9,11,12,14],[3,4,6,8,10,11,14],[3,5,7,8,12,13,14],[3,5,7,9,10,11,13],[4,5,6,7,8,9,10]]; G[1599]:=Group([(1,2,3)(5,7,6)(8,10,9)(11,13,12)]); # Design 1600: autom. group order 3, simple, residual B[1600]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,10,12,13],[1,3,6,8,9,11,12],[1,3,6,9,10,13,14],[1,4,5,7,10,12,13],[1,4,5,9,10,11,14],[1,4,7,8,11,13,14],[1,6,7,8,9,12,13],[1,6,7,10,11,12,14],[2,3,7,8,10,12,14],[2,3,7,9,10,11,13],[2,4,6,7,9,11,13],[2,4,6,10,11,12,14],[2,4,7,8,9,12,14],[2,5,6,8,10,11,13],[2,5,6,9,12,13,14],[3,4,5,6,8,11,12],[3,4,5,9,12,13,14],[3,4,6,8,10,13,14],[3,5,7,8,11,13,14],[3,5,7,9,10,11,12],[4,5,6,7,8,9,10]]; G[1600]:=Group([(1,2,3)(5,7,6)(8,10,9)(11,12,13)]); # Design 1601: autom. group order 3, simple, residual B[1601]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,10,12,13],[1,3,6,8,9,11,12],[1,3,6,9,10,13,14],[1,4,5,7,10,11,12],[1,4,5,9,10,13,14],[1,4,7,8,12,13,14],[1,6,7,8,11,13,14],[1,6,7,9,10,11,12],[2,3,7,8,10,12,14],[2,3,7,9,10,11,13],[2,4,6,7,9,12,13],[2,4,6,10,11,13,14],[2,4,7,8,9,11,14],[2,5,6,8,9,12,13],[2,5,6,10,11,12,14],[3,4,5,6,8,11,13],[3,4,5,9,11,12,14],[3,4,6,8,10,12,14],[3,5,7,8,10,11,13],[3,5,7,9,12,13,14],[4,5,6,7,8,9,10]]; G[1601]:=Group([(1,2,3)(5,7,6)(8,10,9)(11,12,13)]); # Design 1602: autom. group order 3, simple, residual B[1602]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,10,13,14],[1,3,6,8,9,11,14],[1,3,6,9,10,12,13],[1,4,5,7,10,12,13],[1,4,5,9,10,11,14],[1,4,7,8,11,12,14],[1,6,7,8,12,13,14],[1,6,7,9,10,11,13],[2,3,7,8,10,11,13],[2,3,7,9,10,12,14],[2,4,6,7,9,11,12],[2,4,6,10,11,13,14],[2,4,7,8,9,13,14],[2,5,6,8,9,12,13],[2,5,6,10,11,12,14],[3,4,5,6,8,11,13],[3,4,5,9,12,13,14],[3,4,6,8,10,12,14],[3,5,7,8,10,11,12],[3,5,7,9,11,13,14],[4,5,6,7,8,9,10]]; G[1602]:=Group([(1,2,3)(5,7,6)(8,10,9)(11,13,12)]); # Design 1603: autom. group order 3, simple, residual B[1603]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,10,11,12],[1,3,6,8,9,12,13],[1,3,6,9,10,12,14],[1,4,5,7,10,12,13],[1,4,5,9,10,13,14],[1,4,7,8,11,13,14],[1,6,7,8,10,11,12],[1,6,7,9,11,13,14],[2,3,7,8,10,13,14],[2,3,7,9,10,11,13],[2,4,6,7,9,11,12],[2,4,6,10,12,13,14],[2,4,7,8,9,12,14],[2,5,6,8,12,13,14],[2,5,6,9,10,11,13],[3,4,5,6,8,11,13],[3,4,5,9,11,12,14],[3,4,6,8,10,11,14],[3,5,7,8,9,12,13],[3,5,7,10,11,12,14],[4,5,6,7,8,9,10]]; G[1603]:=Group([(1,2,3)(5,7,6)(8,10,9)(11,13,12)]); # Design 1604: autom. group order 3, simple, residual B[1604]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,10,13,14],[1,3,6,8,9,11,14],[1,3,6,9,10,12,13],[1,4,5,7,10,11,13],[1,4,5,9,10,12,14],[1,4,7,8,12,13,14],[1,6,7,8,10,11,12],[1,6,7,9,11,13,14],[2,3,7,8,10,11,13],[2,3,7,9,10,12,14],[2,4,6,7,9,12,13],[2,4,6,10,11,12,14],[2,4,7,8,9,11,14],[2,5,6,8,12,13,14],[2,5,6,9,10,11,13],[3,4,5,6,8,11,12],[3,4,5,9,11,13,14],[3,4,6,8,10,13,14],[3,5,7,8,9,12,13],[3,5,7,10,11,12,14],[4,5,6,7,8,9,10]]; G[1604]:=Group([(1,2,3)(5,7,6)(8,10,9)(11,13,12)]); # Design 1605: autom. group order 3, simple, residual B[1605]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,10,12,13],[1,3,6,8,9,11,12],[1,3,6,9,10,13,14],[1,4,5,7,9,11,13],[1,4,5,10,11,12,14],[1,4,7,8,10,13,14],[1,6,7,8,9,12,13],[1,6,7,10,11,12,14],[2,3,7,8,10,12,14],[2,3,7,9,10,11,13],[2,4,6,7,8,11,12],[2,4,6,9,10,11,14],[2,4,7,9,12,13,14],[2,5,6,8,10,11,13],[2,5,6,9,12,13,14],[3,4,5,6,10,12,13],[3,4,5,8,9,12,14],[3,4,6,8,11,13,14],[3,5,7,8,11,13,14],[3,5,7,9,10,11,12],[4,5,6,7,8,9,10]]; G[1605]:=Group([(1,2,3)(5,7,6)(8,10,9)(11,12,13)]); # Design 1606: autom. group order 3, simple, residual B[1606]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,10,13,14],[1,3,6,8,9,11,14],[1,3,6,9,10,12,13],[1,4,5,7,9,11,12],[1,4,5,10,11,13,14],[1,4,7,8,10,12,14],[1,6,7,8,12,13,14],[1,6,7,9,10,11,13],[2,3,7,8,10,11,13],[2,3,7,9,10,12,14],[2,4,6,7,8,11,13],[2,4,6,9,10,11,14],[2,4,7,9,12,13,14],[2,5,6,8,9,12,13],[2,5,6,10,11,12,14],[3,4,5,6,10,12,13],[3,4,5,8,9,13,14],[3,4,6,8,11,12,14],[3,5,7,8,10,11,12],[3,5,7,9,11,13,14],[4,5,6,7,8,9,10]]; G[1606]:=Group([(1,2,3)(5,7,6)(8,10,9)(11,13,12)]); # Design 1607: autom. group order 3, simple, residual B[1607]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,10,12,13],[1,3,6,8,9,11,12],[1,3,6,9,10,13,14],[1,4,5,7,9,11,12],[1,4,5,10,12,13,14],[1,4,7,8,10,11,14],[1,6,7,8,10,11,13],[1,6,7,9,12,13,14],[2,3,7,8,10,12,14],[2,3,7,9,10,11,13],[2,4,6,7,8,12,13],[2,4,6,9,10,12,14],[2,4,7,9,11,13,14],[2,5,6,8,11,13,14],[2,5,6,9,10,11,12],[3,4,5,6,10,11,13],[3,4,5,8,9,13,14],[3,4,6,8,11,12,14],[3,5,7,8,9,12,13],[3,5,7,10,11,12,14],[4,5,6,7,8,9,10]]; G[1607]:=Group([(1,2,3)(5,7,6)(8,10,9)(11,12,13)]); # Design 1608: autom. group order 3, simple, residual B[1608]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,10,13,14],[1,3,6,8,9,11,14],[1,3,6,9,10,12,13],[1,4,5,7,9,12,13],[1,4,5,10,11,12,14],[1,4,7,8,10,13,14],[1,6,7,8,10,11,12],[1,6,7,9,11,13,14],[2,3,7,8,10,11,13],[2,3,7,9,10,12,14],[2,4,6,7,8,11,12],[2,4,6,9,10,12,14],[2,4,7,9,11,13,14],[2,5,6,8,12,13,14],[2,5,6,9,10,11,13],[3,4,5,6,10,11,13],[3,4,5,8,9,11,14],[3,4,6,8,12,13,14],[3,5,7,8,9,12,13],[3,5,7,10,11,12,14],[4,5,6,7,8,9,10]]; G[1608]:=Group([(1,2,3)(5,7,6)(8,10,9)(11,13,12)]); # Design 1609: autom. group order 3, simple, residual B[1609]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,10,11,12],[1,3,6,8,9,12,13],[1,3,6,9,10,12,14],[1,4,5,7,9,12,13],[1,4,5,8,10,13,14],[1,4,7,9,11,13,14],[1,6,7,8,10,11,13],[1,6,7,10,11,12,14],[2,3,7,8,10,13,14],[2,3,7,9,10,11,13],[2,4,6,7,8,11,12],[2,4,6,8,12,13,14],[2,4,7,9,10,12,14],[2,5,6,9,10,12,13],[2,5,6,9,11,13,14],[3,4,5,6,10,11,13],[3,4,5,10,11,12,14],[3,4,6,8,9,11,14],[3,5,7,8,9,11,12],[3,5,7,8,12,13,14],[4,5,6,7,8,9,10]]; G[1609]:=Group([(1,2,3)(5,7,6)(8,10,9)(11,13,12)]); # Design 1610: autom. group order 3, simple, residual B[1610]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,10,13,14],[1,3,6,8,9,11,14],[1,3,6,9,10,12,13],[1,4,5,7,9,11,13],[1,4,5,8,10,12,14],[1,4,7,9,12,13,14],[1,6,7,8,10,11,13],[1,6,7,10,11,12,14],[2,3,7,8,10,11,13],[2,3,7,9,10,12,14],[2,4,6,7,8,12,13],[2,4,6,8,11,12,14],[2,4,7,9,10,11,14],[2,5,6,9,10,12,13],[2,5,6,9,11,13,14],[3,4,5,6,10,11,12],[3,4,5,10,11,13,14],[3,4,6,8,9,13,14],[3,5,7,8,9,11,12],[3,5,7,8,12,13,14],[4,5,6,7,8,9,10]]; G[1610]:=Group([(1,2,3)(5,7,6)(8,10,9)(11,13,12)]); # Design 1611: autom. group order 3, simple B[1611]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,11,13,14],[1,3,7,8,10,11,12],[1,4,5,6,10,12,13],[1,4,5,7,8,13,14],[1,4,7,9,12,13,14],[1,6,7,8,9,10,12],[1,6,8,10,11,13,14],[2,3,6,8,9,12,13],[2,3,7,10,12,13,14],[2,4,6,7,8,11,13],[2,4,6,7,9,10,14],[2,4,6,10,11,12,14],[2,5,7,8,10,11,13],[2,5,8,9,12,13,14],[3,4,5,8,10,12,14],[3,4,5,9,10,11,13],[3,4,7,8,9,11,14],[3,5,6,7,9,10,13],[3,5,6,7,11,12,14],[4,5,6,8,9,11,12]]; G[1611]:=Group([(1,2,13)(3,12,4)(5,8,14)(6,9,7)]); # Design 1612: autom. group order 3, simple, residual B[1612]:=[[1,2,3,4,5,6,7],[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],[1,3,6,7,10,12,14],[1,3,7,9,10,11,13],[1,4,5,6,9,12,13],[1,4,5,7,9,10,14],[1,4,7,8,12,13,14],[1,6,7,8,10,11,12],[1,6,8,9,11,13,14],[2,3,6,7,9,12,13],[2,3,8,10,12,13,14],[2,4,6,7,8,11,14],[2,4,6,9,10,13,14],[2,4,7,9,11,12,14],[2,5,6,7,10,11,13],[2,5,7,8,9,10,12],[3,4,5,7,8,11,13],[3,4,5,10,11,12,14],[3,4,6,8,9,10,11],[3,5,6,9,11,12,14],[3,5,7,8,9,13,14],[4,5,6,8,10,12,13]]; G[1612]:=Group([(1,9,14)(2,12,3)(4,7,10)(6,8,11)]); # Design 1613: autom. group order 3, simple, residual B[1613]:=[[1,2,3,4,5,6,7],[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],[1,3,9,10,11,12,14],[1,4,5,7,10,13,14],[1,4,5,8,9,12,14],[1,4,6,8,9,11,13],[1,6,7,8,9,11,13],[1,6,7,8,10,12,14],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,6,7,9,12,14],[2,4,6,8,10,11,14],[2,4,7,8,10,12,13],[2,5,6,7,9,10,11],[2,5,8,9,10,12,13],[3,4,5,6,9,10,13],[3,4,5,7,8,11,12],[3,4,7,9,10,11,14],[3,5,6,8,10,11,12],[3,5,7,8,9,13,14],[4,5,6,11,12,13,14]]; G[1613]:=Group([(1,8,9)(2,10,3)(5,12,14)(6,13,11)]); # Design 1614: autom. group order 3, simple, residual B[1614]:=[[1,2,3,4,5,6,7],[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],[1,2,5,9,12,13,14],[1,3,6,7,10,11,14],[1,3,9,10,11,12,14],[1,4,5,7,12,13,14],[1,4,5,8,10,11,13],[1,4,6,8,9,12,14],[1,6,7,8,9,11,13],[1,6,7,8,10,12,13],[2,3,6,8,11,12,13],[2,3,7,8,9,13,14],[2,4,6,7,10,13,14],[2,4,6,10,11,12,14],[2,4,7,8,9,10,12],[2,5,6,7,9,11,12],[2,5,8,10,11,13,14],[3,4,5,6,9,10,13],[3,4,5,7,8,11,12],[3,4,7,9,11,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,12,14],[4,5,6,8,9,11,14]]; G[1614]:=Group([(1,7,11)(2,14,8)(3,13,5)(6,9,10)]); # Design 1615: autom. group order 3, simple, residual B[1615]:=[[1,2,3,4,5,6,7],[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],[1,3,7,8,10,12,14],[1,3,7,9,10,11,13],[1,4,5,6,9,12,13],[1,4,5,7,9,10,14],[1,4,6,7,11,12,14],[1,6,7,8,10,12,13],[1,6,8,9,11,13,14],[2,3,6,7,9,12,13],[2,3,6,10,11,12,14],[2,4,6,9,10,13,14],[2,4,7,8,9,12,14],[2,4,7,8,11,13,14],[2,5,6,7,8,10,13],[2,5,7,9,10,11,12],[3,4,5,7,8,11,13],[3,4,5,10,12,13,14],[3,4,6,8,9,10,11],[3,5,6,7,9,11,14],[3,5,8,9,12,13,14],[4,5,6,8,10,11,12]]; G[1615]:=Group([(1,9,14)(2,12,3)(4,7,10)(6,11,13)]); # Design 1616: autom. group order 3, simple, residual B[1616]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,10,13,14],[1,3,7,8,11,12,14],[1,3,7,9,10,13,14],[1,4,5,6,9,12,14],[1,4,5,9,10,11,13],[1,4,6,7,10,12,13],[1,6,7,8,11,13,14],[1,6,8,9,10,11,12],[2,3,6,7,10,12,13],[2,3,9,10,11,12,14],[2,4,6,7,9,11,14],[2,4,6,8,10,12,14],[2,4,7,8,9,11,13],[2,5,6,10,11,13,14],[2,5,7,8,9,12,13],[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],[3,5,6,8,9,12,13],[4,5,7,8,10,11,12]]; G[1616]:=Group([(1,3,11)(2,12,8)(4,14,6)(5,13,7)]); # Design 1617: autom. group order 3, simple, residual B[1617]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,10,13,14],[1,3,7,8,11,12,14],[1,3,7,9,10,13,14],[1,4,5,6,10,12,14],[1,4,5,9,10,11,13],[1,4,6,7,9,12,13],[1,6,7,8,11,13,14],[1,6,8,9,10,11,12],[2,3,6,7,10,12,13],[2,3,9,10,11,12,14],[2,4,6,7,10,11,14],[2,4,6,8,9,12,14],[2,4,7,8,9,11,13],[2,5,6,9,11,13,14],[2,5,7,8,10,12,13],[3,4,5,7,8,9,14],[3,4,5,11,12,13,14],[3,4,6,8,10,13,14],[3,5,6,7,9,10,11],[3,5,6,8,9,12,13],[4,5,7,8,10,11,12]]; G[1617]:=Group([(1,3,11)(2,12,8)(4,14,6)(5,13,7)]); # Design 1618: autom. group order 3, simple, residual B[1618]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,6,8,9,10,12],[1,4,5,6,10,11,14],[1,4,5,7,9,11,13],[1,4,9,10,12,13,14],[1,6,7,8,10,11,13],[1,7,8,9,11,12,14],[2,3,6,9,11,12,13],[2,3,7,9,10,11,14],[2,4,6,7,9,10,14],[2,4,6,8,10,11,13],[2,4,7,8,11,12,14],[2,5,6,8,9,13,14],[2,5,7,8,10,12,13],[3,4,5,7,8,10,12],[3,4,5,8,9,13,14],[3,4,6,7,12,13,14],[3,5,6,10,11,12,14],[3,5,7,9,10,11,13],[4,5,6,8,9,11,12]]; G[1618]:=Group([(1,2,3)(5,11,8)(6,12,9)(7,13,10)]); # Design 1619: autom. group order 3, simple, residual B[1619]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,6,7,8,9,12],[1,3,6,8,10,13,14],[1,4,5,6,7,10,11],[1,4,5,9,11,13,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,7,8,10,11,12,14],[2,3,6,9,10,11,13],[2,3,7,10,11,12,14],[2,4,6,7,9,10,14],[2,4,6,8,11,12,13],[2,4,7,8,9,11,14],[2,5,6,8,10,13,14],[2,5,7,8,9,12,13],[3,4,5,7,8,13,14],[3,4,5,8,9,10,12],[3,4,6,7,12,13,14],[3,5,6,9,11,12,14],[3,5,7,9,10,11,13],[4,5,6,8,10,11,12]]; G[1619]:=Group([(1,2,3)(5,11,8)(6,12,10)(7,13,9)]); # Design 1620: autom. group order 3, simple, residual B[1620]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,6,7,8,9,14],[1,3,6,8,10,12,13],[1,4,5,6,9,11,13],[1,4,5,7,10,11,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,13],[1,7,8,10,11,12,14],[2,3,6,7,10,11,12],[2,3,9,10,11,13,14],[2,4,6,7,9,10,14],[2,4,6,8,11,13,14],[2,4,7,8,9,11,12],[2,5,6,8,10,13,14],[2,5,7,8,9,12,13],[3,4,5,7,8,10,13],[3,4,5,8,9,12,14],[3,4,6,7,12,13,14],[3,5,6,9,11,12,14],[3,5,7,9,10,11,13],[4,5,6,8,10,11,12]]; G[1620]:=Group([(1,2,3)(5,11,8)(6,12,10)(7,13,9)]); # Design 1621: autom. group order 3, simple, residual B[1621]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,6,7,8,9,12],[1,3,6,8,10,13,14],[1,4,5,6,10,11,13],[1,4,5,7,9,11,14],[1,4,9,10,12,13,14],[1,6,7,8,11,12,14],[1,7,8,9,10,11,13],[2,3,6,9,10,11,12],[2,3,7,9,11,13,14],[2,4,6,7,9,10,14],[2,4,6,8,11,13,14],[2,4,7,8,10,11,12],[2,5,6,7,8,10,13],[2,5,8,9,12,13,14],[3,4,5,7,8,9,13],[3,4,5,8,10,12,14],[3,4,6,7,12,13,14],[3,5,6,9,10,11,14],[3,5,7,10,11,12,13],[4,5,6,8,9,11,12]]; G[1621]:=Group([(1,2,3)(5,11,8)(6,12,9)(7,13,10)]); # Design 1622: autom. group order 3, simple, residual B[1622]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,6,7,8,9,12],[1,3,6,8,10,13,14],[1,4,5,6,10,11,14],[1,4,5,7,9,11,13],[1,4,9,10,12,13,14],[1,6,7,8,9,11,14],[1,7,8,10,11,12,13],[2,3,6,9,10,11,12],[2,3,7,9,11,13,14],[2,4,6,7,9,10,14],[2,4,6,8,10,11,13],[2,4,7,8,11,12,14],[2,5,6,8,12,13,14],[2,5,7,8,9,10,13],[3,4,5,7,8,10,12],[3,4,5,8,9,13,14],[3,4,6,7,12,13,14],[3,5,6,7,10,11,13],[3,5,9,10,11,12,14],[4,5,6,8,9,11,12]]; G[1622]:=Group([(1,2,3)(5,11,8)(6,12,9)(7,13,10)]); # Design 1623: autom. group order 3, simple, residual B[1623]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,6,7,8,9,12],[1,3,6,8,10,13,14],[1,4,5,6,10,11,13],[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],[2,3,6,9,10,11,13],[2,3,7,10,11,12,14],[2,4,6,7,9,10,14],[2,4,6,8,9,11,12],[2,4,7,8,11,13,14],[2,5,6,8,12,13,14],[2,5,7,8,9,10,13],[3,4,5,7,8,10,12],[3,4,5,8,9,13,14],[3,4,6,7,12,13,14],[3,5,6,7,9,11,13],[3,5,9,10,11,12,14],[4,5,6,8,10,11,12]]; G[1623]:=Group([(1,2,3)(5,11,8)(6,12,10)(7,13,9)]); # Design 1624: autom. group order 3, simple, residual B[1624]:=[[1,2,3,4,5,6,7],[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],[1,2,5,10,11,13,14],[1,3,6,7,9,11,13],[1,3,6,7,10,11,14],[1,4,5,7,9,12,14],[1,4,5,7,10,12,13],[1,4,6,8,12,13,14],[1,6,8,9,10,11,12],[1,7,8,9,10,13,14],[2,3,6,10,12,13,14],[2,3,7,8,9,12,13],[2,4,6,7,8,10,13],[2,4,6,7,9,11,14],[2,4,9,10,11,12,14],[2,5,6,7,9,10,12],[2,5,7,8,11,13,14],[3,4,5,6,8,10,14],[3,4,5,9,10,11,13],[3,4,7,8,11,12,14],[3,5,6,9,12,13,14],[3,5,7,8,10,11,12],[4,5,6,8,9,11,13]]; G[1624]:=Group([(1,3,12)(2,13,4)(5,9,14)(6,7,8)]); # Design 1625: autom. group order 3, simple B[1625]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,12,13,14],[1,2,5,7,8,9,10],[1,3,6,8,9,11,12],[1,3,6,9,10,13,14],[1,4,5,7,9,13,14],[1,4,5,10,11,12,13],[1,4,6,7,8,12,14],[1,6,7,9,10,11,13],[1,7,8,10,11,12,14],[2,3,6,7,10,12,14],[2,3,7,9,11,13,14],[2,4,6,8,10,13,14],[2,4,7,8,9,12,13],[2,4,9,10,11,12,14],[2,5,6,7,9,11,12],[2,5,6,8,10,11,13],[3,4,5,6,9,10,12],[3,4,5,7,10,11,14],[3,4,6,7,8,11,13],[3,5,7,8,10,12,13],[3,5,8,9,12,13,14],[4,5,6,8,9,11,14]]; G[1625]:=Group([(1,8,13)(2,6,9)(3,4,14)(5,11,7)]); # Design 1626: autom. group order 3, simple, residual B[1626]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,6,7,9,10,11],[1,3,7,8,9,13,14],[1,4,5,6,10,11,13],[1,4,5,7,9,10,14],[1,4,6,7,12,13,14],[1,6,8,10,11,12,14],[1,7,8,9,11,12,13],[2,3,6,7,10,12,13],[2,3,6,9,11,13,14],[2,4,6,7,8,11,14],[2,4,7,8,10,13,14],[2,4,9,10,11,12,14],[2,5,6,7,8,9,12],[2,5,7,9,10,11,13],[3,4,5,7,8,11,12],[3,4,5,9,12,13,14],[3,4,6,8,9,10,12],[3,5,6,8,10,13,14],[3,5,7,10,11,12,14],[4,5,6,8,9,11,13]]; G[1626]:=Group([(1,10,14)(2,13,3)(4,7,9)(6,11,12)]); # Design 1627: autom. group order 3, simple B[1627]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,6,8,10,13,14],[1,3,7,8,9,12,13],[1,4,5,6,10,11,13],[1,4,5,7,11,12,14],[1,4,9,10,12,13,14],[1,6,7,8,9,11,14],[1,6,7,8,10,11,12],[2,3,6,7,10,11,13],[2,3,6,9,11,12,14],[2,4,6,7,9,10,14],[2,4,7,8,9,11,13],[2,4,8,10,11,12,14],[2,5,6,8,12,13,14],[2,5,7,8,10,12,13],[3,4,5,6,8,9,12],[3,4,5,7,8,10,14],[3,4,6,7,12,13,14],[3,5,7,9,10,11,12],[3,5,9,10,11,13,14],[4,5,6,8,9,11,13]]; G[1627]:=Group([(1,2,3)(5,11,8)(6,13,9)(7,12,10)]); # Design 1628: autom. group order 3, simple, residual B[1628]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,11,13],[1,4,5,6,10,12,13],[1,4,7,8,10,11,14],[1,4,7,8,12,13,14],[1,5,7,9,10,12,13],[1,6,7,9,11,12,14],[2,3,7,8,10,12,13],[2,3,7,9,10,12,14],[2,4,5,7,9,11,13],[2,4,6,9,10,12,14],[2,4,6,10,11,13,14],[2,5,6,8,12,13,14],[2,6,7,8,9,11,13],[3,4,5,8,9,13,14],[3,4,5,9,11,12,14],[3,4,6,7,8,11,12],[3,5,6,8,10,11,12],[3,5,7,10,11,13,14],[4,5,6,7,8,9,10]]; G[1628]:=Group([(1,2,3)(5,7,6)(8,10,9)(11,12,13)]); # Design 1629: autom. group order 3, simple, residual B[1629]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,10,11,12],[1,3,6,8,9,12,13],[1,3,6,9,10,12,14],[1,4,5,6,10,11,13],[1,4,7,8,10,12,14],[1,4,7,8,11,13,14],[1,5,7,9,10,12,13],[1,6,7,9,11,13,14],[2,3,7,8,10,13,14],[2,3,7,9,10,11,13],[2,4,5,7,9,12,13],[2,4,6,9,10,11,14],[2,4,6,10,12,13,14],[2,5,6,8,12,13,14],[2,6,7,8,9,11,12],[3,4,5,8,9,13,14],[3,4,5,9,11,12,14],[3,4,6,7,8,11,12],[3,5,6,8,10,11,13],[3,5,7,10,11,12,14],[4,5,6,7,8,9,10]]; G[1629]:=Group([(1,2,3)(5,7,6)(8,10,9)(11,13,12)]); # Design 1630: autom. group order 3, simple, residual B[1630]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,10,12,13],[1,3,6,8,9,11,12],[1,3,6,9,10,13,14],[1,4,5,6,10,11,12],[1,4,7,8,10,11,14],[1,4,7,8,12,13,14],[1,5,7,9,10,11,13],[1,6,7,9,12,13,14],[2,3,7,8,10,12,14],[2,3,7,9,10,11,13],[2,4,5,7,9,12,13],[2,4,6,9,10,12,14],[2,4,6,10,11,13,14],[2,5,6,8,11,13,14],[2,6,7,8,9,11,12],[3,4,5,8,9,13,14],[3,4,5,9,11,12,14],[3,4,6,7,8,11,13],[3,5,6,8,10,12,13],[3,5,7,10,11,12,14],[4,5,6,7,8,9,10]]; G[1630]:=Group([(1,2,3)(5,7,6)(8,10,9)(11,12,13)]); # Design 1631: autom. group order 3, simple, residual B[1631]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,10,13,14],[1,3,6,8,9,11,14],[1,3,6,9,10,12,13],[1,4,5,6,10,11,12],[1,4,7,8,10,11,14],[1,4,7,8,12,13,14],[1,5,7,9,10,12,13],[1,6,7,9,11,13,14],[2,3,7,8,10,11,13],[2,3,7,9,10,12,14],[2,4,5,7,9,11,13],[2,4,6,9,10,13,14],[2,4,6,10,11,12,14],[2,5,6,8,12,13,14],[2,6,7,8,9,11,12],[3,4,5,8,9,12,14],[3,4,5,9,11,13,14],[3,4,6,7,8,12,13],[3,5,6,8,10,11,13],[3,5,7,10,11,12,14],[4,5,6,7,8,9,10]]; G[1631]:=Group([(1,2,3)(5,7,6)(8,10,9)(11,13,12)]); # Design 1632: autom. group order 3, simple, residual B[1632]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,11,13],[1,4,5,6,10,12,13],[1,4,7,8,9,12,14],[1,4,7,8,11,13,14],[1,5,7,10,12,13,14],[1,6,7,9,10,11,12],[2,3,7,8,10,12,13],[2,3,7,9,10,12,14],[2,4,5,7,9,11,13],[2,4,6,8,10,13,14],[2,4,6,10,11,12,14],[2,5,6,8,9,12,13],[2,6,7,9,11,13,14],[3,4,5,9,10,11,14],[3,4,5,9,12,13,14],[3,4,6,7,8,11,12],[3,5,6,8,11,12,14],[3,5,7,8,10,11,13],[4,5,6,7,8,9,10]]; G[1632]:=Group([(1,2,3)(5,7,6)(8,10,9)(11,12,13)]); # Design 1633: autom. group order 3, simple, residual B[1633]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,10,11,12],[1,3,6,8,9,12,13],[1,3,6,9,10,12,14],[1,4,5,6,10,11,13],[1,4,7,8,9,11,14],[1,4,7,8,12,13,14],[1,5,7,10,12,13,14],[1,6,7,9,10,11,13],[2,3,7,8,10,13,14],[2,3,7,9,10,11,13],[2,4,5,7,9,12,13],[2,4,6,8,10,13,14],[2,4,6,10,11,12,14],[2,5,6,8,9,12,13],[2,6,7,9,11,12,14],[3,4,5,9,10,12,14],[3,4,5,9,11,13,14],[3,4,6,7,8,11,12],[3,5,6,8,11,13,14],[3,5,7,8,10,11,12],[4,5,6,7,8,9,10]]; G[1633]:=Group([(1,2,3)(5,7,6)(8,10,9)(11,13,12)]); # Design 1634: autom. group order 3, simple, residual B[1634]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,10,12,13],[1,3,6,8,9,11,12],[1,3,6,9,10,13,14],[1,4,5,6,10,11,12],[1,4,7,8,9,12,14],[1,4,7,8,11,13,14],[1,5,7,10,11,13,14],[1,6,7,9,10,12,13],[2,3,7,8,10,12,14],[2,3,7,9,10,11,13],[2,4,5,7,9,12,13],[2,4,6,8,10,13,14],[2,4,6,10,11,12,14],[2,5,6,8,9,11,13],[2,6,7,9,11,12,14],[3,4,5,9,10,11,14],[3,4,5,9,12,13,14],[3,4,6,7,8,11,13],[3,5,6,8,12,13,14],[3,5,7,8,10,11,12],[4,5,6,7,8,9,10]]; G[1634]:=Group([(1,2,3)(5,7,6)(8,10,9)(11,12,13)]); # Design 1635: autom. group order 3, simple, residual B[1635]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,10,13,14],[1,3,6,8,9,11,14],[1,3,6,9,10,12,13],[1,4,5,6,10,11,12],[1,4,7,8,9,13,14],[1,4,7,8,11,12,14],[1,5,7,10,12,13,14],[1,6,7,9,10,11,13],[2,3,7,8,10,11,13],[2,3,7,9,10,12,14],[2,4,5,7,9,11,13],[2,4,6,8,10,12,14],[2,4,6,10,11,13,14],[2,5,6,8,9,12,13],[2,6,7,9,11,12,14],[3,4,5,9,10,11,14],[3,4,5,9,12,13,14],[3,4,6,7,8,12,13],[3,5,6,8,11,13,14],[3,5,7,8,10,11,12],[4,5,6,7,8,9,10]]; G[1635]:=Group([(1,2,3)(5,7,6)(8,10,9)(11,13,12)]); # Design 1636: autom. group order 3, simple B[1636]:=[[1,2,3,4,5,6,7],[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],[1,2,5,9,11,12,13],[1,3,6,7,11,12,14],[1,3,6,9,10,12,13],[1,4,5,8,10,11,14],[1,4,6,7,8,10,13],[1,4,7,9,10,12,14],[1,5,7,8,12,13,14],[1,6,8,9,11,13,14],[2,3,7,8,9,12,14],[2,3,8,10,11,13,14],[2,4,5,6,9,13,14],[2,4,6,7,8,11,12],[2,4,6,10,12,13,14],[2,5,7,8,10,12,13],[2,6,7,9,10,11,14],[3,4,5,7,9,13,14],[3,4,5,10,11,12,14],[3,4,7,8,9,11,13],[3,5,6,7,10,11,13],[3,5,6,8,9,10,12],[4,5,6,8,9,11,12]]; G[1636]:=Group([(1,8,14)(2,12,4)(3,7,10)(6,13,11)]); # Design 1637: autom. group order 3, simple, residual B[1637]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,9,12,14],[1,3,6,9,10,12,13],[1,4,5,9,10,13,14],[1,4,6,7,10,11,12],[1,4,7,9,11,13,14],[1,5,7,8,10,12,13],[1,6,7,8,11,13,14],[2,3,7,8,10,11,13],[2,3,7,9,10,13,14],[2,4,5,6,9,11,13],[2,4,6,8,12,13,14],[2,4,7,8,9,12,14],[2,5,6,10,12,13,14],[2,6,7,9,10,11,12],[3,4,5,7,8,12,13],[3,4,5,10,11,12,14],[3,4,6,8,10,11,14],[3,5,6,8,9,11,13],[3,5,7,9,11,12,14],[4,5,6,7,8,9,10]]; G[1637]:=Group([(1,2,3)(5,7,6)(8,10,9)(11,13,12)]); # Design 1638: autom. group order 3, simple, residual B[1638]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,10,12,13],[1,3,6,8,9,11,12],[1,3,6,9,10,13,14],[1,4,5,9,10,12,14],[1,4,6,7,10,12,13],[1,4,7,9,11,12,14],[1,5,7,8,10,11,13],[1,6,7,8,11,13,14],[2,3,7,8,10,12,14],[2,3,7,9,10,11,13],[2,4,5,6,9,11,13],[2,4,6,8,12,13,14],[2,4,7,8,9,13,14],[2,5,6,10,11,12,14],[2,6,7,9,10,11,12],[3,4,5,7,8,11,12],[3,4,5,10,11,13,14],[3,4,6,8,10,11,14],[3,5,6,8,9,12,13],[3,5,7,9,12,13,14],[4,5,6,7,8,9,10]]; G[1638]:=Group([(1,2,3)(5,7,6)(8,10,9)(11,12,13)]); # Design 1639: autom. group order 3, simple, residual B[1639]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,10,12,13],[1,3,6,8,9,11,12],[1,3,6,9,10,13,14],[1,4,5,9,10,11,14],[1,4,6,7,10,11,12],[1,4,7,8,11,13,14],[1,5,7,10,12,13,14],[1,6,7,8,9,12,13],[2,3,7,8,10,12,14],[2,3,7,9,10,11,13],[2,4,5,6,9,12,13],[2,4,6,10,11,12,14],[2,4,7,8,9,12,14],[2,5,6,8,10,11,13],[2,6,7,9,11,13,14],[3,4,5,7,8,11,13],[3,4,5,9,12,13,14],[3,4,6,8,10,13,14],[3,5,6,8,11,12,14],[3,5,7,9,10,11,12],[4,5,6,7,8,9,10]]; G[1639]:=Group([(1,2,3)(5,7,6)(8,10,9)(11,12,13)]); # Design 1640: autom. group order 3, simple, residual B[1640]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,10,13,14],[1,3,6,8,9,11,14],[1,3,6,9,10,12,13],[1,4,5,10,11,12,14],[1,4,6,7,9,11,13],[1,4,7,8,10,13,14],[1,5,7,9,12,13,14],[1,6,7,8,10,11,12],[2,3,7,8,10,11,13],[2,3,7,9,10,12,14],[2,4,5,6,8,12,13],[2,4,6,9,10,12,14],[2,4,7,9,11,13,14],[2,5,6,9,10,11,13],[2,6,7,8,11,12,14],[3,4,5,7,10,11,12],[3,4,5,8,9,11,14],[3,4,6,8,12,13,14],[3,5,6,10,11,13,14],[3,5,7,8,9,12,13],[4,5,6,7,8,9,10]]; G[1640]:=Group([(1,2,3)(5,7,6)(8,10,9)(11,13,12)]); # Design 1641: autom. group order 3, simple, residual B[1641]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,11,13],[1,4,5,9,12,13,14],[1,4,6,7,8,12,13],[1,4,7,9,10,11,14],[1,5,7,10,12,13,14],[1,6,7,8,10,11,12],[2,3,7,8,10,12,13],[2,3,7,9,10,12,14],[2,4,5,6,10,11,13],[2,4,6,8,9,12,14],[2,4,7,8,11,13,14],[2,5,6,9,10,12,13],[2,6,7,9,11,13,14],[3,4,5,7,9,11,12],[3,4,5,8,10,13,14],[3,4,6,10,11,12,14],[3,5,6,8,11,12,14],[3,5,7,8,9,11,13],[4,5,6,7,8,9,10]]; G[1641]:=Group([(1,2,3)(5,7,6)(8,10,9)(11,12,13)]); # Design 1642: autom. group order 3, simple, residual B[1642]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,10,12,13],[1,3,6,8,9,11,12],[1,3,6,9,10,13,14],[1,4,5,9,12,13,14],[1,4,6,7,8,11,13],[1,4,7,9,10,11,14],[1,5,7,10,11,12,14],[1,6,7,8,10,12,13],[2,3,7,8,10,12,14],[2,3,7,9,10,11,13],[2,4,5,6,10,11,12],[2,4,6,8,9,12,14],[2,4,7,8,11,13,14],[2,5,6,9,10,11,13],[2,6,7,9,12,13,14],[3,4,5,7,9,12,13],[3,4,5,8,10,13,14],[3,4,6,10,11,12,14],[3,5,6,8,11,13,14],[3,5,7,8,9,11,12],[4,5,6,7,8,9,10]]; G[1642]:=Group([(1,2,3)(5,7,6)(8,10,9)(11,12,13)]); # Design 1643: autom. group order 3, simple, residual B[1643]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,10,13,14],[1,3,6,8,9,11,14],[1,3,6,9,10,12,13],[1,4,5,10,11,12,14],[1,4,6,7,8,11,13],[1,4,7,9,10,13,14],[1,5,7,8,9,12,13],[1,6,7,10,11,12,14],[2,3,7,8,10,11,13],[2,3,7,9,10,12,14],[2,4,5,6,10,12,13],[2,4,6,8,9,12,14],[2,4,7,9,11,13,14],[2,5,6,9,11,13,14],[2,6,7,8,10,11,12],[3,4,5,7,9,11,12],[3,4,5,8,10,11,14],[3,4,6,8,12,13,14],[3,5,6,9,10,11,13],[3,5,7,8,12,13,14],[4,5,6,7,8,9,10]]; G[1643]:=Group([(1,2,3)(5,7,6)(8,10,9)(11,13,12)]); # Design 1644: autom. group order 3, simple, residual B[1644]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,10,12,13],[1,3,6,8,9,11,12],[1,3,6,9,10,13,14],[1,4,5,9,10,12,14],[1,4,6,7,8,11,13],[1,4,7,9,11,12,14],[1,5,7,8,10,11,13],[1,6,7,10,12,13,14],[2,3,7,8,10,12,14],[2,3,7,9,10,11,13],[2,4,5,6,10,11,12],[2,4,6,8,12,13,14],[2,4,7,8,9,13,14],[2,5,6,9,11,13,14],[2,6,7,9,10,11,12],[3,4,5,7,9,12,13],[3,4,5,10,11,13,14],[3,4,6,8,10,11,14],[3,5,6,8,9,12,13],[3,5,7,8,11,12,14],[4,5,6,7,8,9,10]]; G[1644]:=Group([(1,2,3)(5,7,6)(8,10,9)(11,12,13)]); # Design 1645: autom. group order 3, simple, residual B[1645]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,12,13],[1,3,6,10,11,12,14],[1,4,5,9,10,13,14],[1,4,6,7,8,9,12],[1,4,7,8,11,13,14],[1,5,7,9,10,12,14],[1,6,7,9,10,11,13],[2,3,7,9,10,11,13],[2,3,7,9,12,13,14],[2,4,5,6,9,10,11],[2,4,6,9,12,13,14],[2,4,7,8,10,12,14],[2,5,6,8,10,12,13],[2,6,7,8,10,11,14],[3,4,5,7,8,10,13],[3,4,5,10,11,12,14],[3,4,6,8,9,11,14],[3,5,6,8,9,13,14],[3,5,7,8,9,11,12],[4,5,6,7,11,12,13]]; G[1645]:=Group([(1,2,3)(5,7,6)(8,9,10)(11,13,12)]); # Design 1646: autom. group order 3, simple, residual B[1646]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,10,12,13],[1,3,6,8,9,11,12],[1,3,6,9,10,13,14],[1,4,5,9,10,13,14],[1,4,6,7,8,11,13],[1,4,7,8,12,13,14],[1,5,7,10,11,12,14],[1,6,7,9,10,11,12],[2,3,7,8,10,12,14],[2,3,7,9,10,11,13],[2,4,5,6,10,11,12],[2,4,6,10,11,13,14],[2,4,7,8,9,11,14],[2,5,6,8,9,12,13],[2,6,7,9,12,13,14],[3,4,5,7,9,12,13],[3,4,5,9,11,12,14],[3,4,6,8,10,12,14],[3,5,6,8,11,13,14],[3,5,7,8,10,11,13],[4,5,6,7,8,9,10]]; G[1646]:=Group([(1,2,3)(5,7,6)(8,10,9)(11,12,13)]); # Design 1647: autom. group order 3, simple, residual B[1647]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,10,11,12],[1,3,6,8,9,12,13],[1,3,6,9,10,12,14],[1,4,5,8,10,13,14],[1,4,6,7,10,11,12],[1,4,7,9,11,13,14],[1,5,7,9,12,13,14],[1,6,7,8,10,11,13],[2,3,7,8,10,13,14],[2,3,7,9,10,11,13],[2,4,5,6,9,11,13],[2,4,6,8,12,13,14],[2,4,7,9,10,12,14],[2,5,6,9,10,12,13],[2,6,7,8,11,12,14],[3,4,5,7,8,12,13],[3,4,5,10,11,12,14],[3,4,6,8,9,11,14],[3,5,6,10,11,13,14],[3,5,7,8,9,11,12],[4,5,6,7,8,9,10]]; G[1647]:=Group([(1,2,3)(5,7,6)(8,10,9)(11,13,12)]); # Design 1648: autom. group order 3, simple, residual B[1648]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,10,13,14],[1,3,6,8,9,11,14],[1,3,6,9,10,12,13],[1,4,5,8,10,12,14],[1,4,6,7,10,11,12],[1,4,7,9,12,13,14],[1,5,7,9,11,13,14],[1,6,7,8,10,11,13],[2,3,7,8,10,11,13],[2,3,7,9,10,12,14],[2,4,5,6,9,11,13],[2,4,6,8,11,12,14],[2,4,7,9,10,11,14],[2,5,6,9,10,12,13],[2,6,7,8,12,13,14],[3,4,5,7,8,12,13],[3,4,5,10,11,13,14],[3,4,6,8,9,13,14],[3,5,6,10,11,12,14],[3,5,7,8,9,11,12],[4,5,6,7,8,9,10]]; G[1648]:=Group([(1,2,3)(5,7,6)(8,10,9)(11,13,12)]); # Design 1649: autom. group order 3, simple, residual B[1649]:=[[1,2,3,4,5,6,7],[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],[1,3,6,7,9,12,13],[1,3,8,9,11,12,14],[1,4,5,6,9,10,13],[1,4,6,8,10,11,12],[1,4,7,9,10,12,14],[1,5,7,8,10,11,13],[1,6,7,8,11,13,14],[2,3,6,7,10,11,12],[2,3,9,10,11,13,14],[2,4,5,8,11,12,13],[2,4,6,7,10,11,14],[2,4,6,8,9,13,14],[2,5,7,8,9,10,12],[2,6,7,8,9,12,13],[3,4,5,7,8,12,14],[3,4,5,7,9,11,13],[3,4,7,8,10,13,14],[3,5,6,8,9,10,11],[3,5,6,10,12,13,14],[4,5,6,9,11,12,14]]; G[1649]:=Group([(1,4,10)(2,7,13)(3,14,5)(6,8,12)]); # Design 1650: autom. group order 3, simple, residual B[1650]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,9,11,13],[1,3,6,7,9,12,13],[1,3,8,10,12,13,14],[1,4,5,6,10,11,12],[1,4,6,9,10,12,14],[1,4,7,9,11,13,14],[1,5,7,8,9,10,13],[1,6,7,8,10,11,14],[2,3,6,7,10,13,14],[2,3,7,9,10,11,12],[2,4,5,7,9,10,14],[2,4,6,8,10,11,13],[2,4,7,8,12,13,14],[2,5,6,9,10,12,13],[2,6,8,9,11,12,14],[3,4,5,8,9,12,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,11],[3,5,6,9,11,13,14],[3,5,7,8,10,11,12],[4,5,6,7,8,12,13]]; G[1650]:=Group([(1,3,13)(2,14,9)(4,10,7)(6,11,8)]); # Design 1651: autom. group order 3, simple, residual B[1651]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,10,11,12],[1,3,6,9,10,13,14],[1,3,7,9,10,11,12],[1,4,5,6,9,11,13],[1,4,6,7,10,12,14],[1,4,8,9,12,13,14],[1,5,7,8,10,12,13],[1,6,7,8,11,13,14],[2,3,6,7,9,12,13],[2,3,7,8,10,13,14],[2,4,5,7,12,13,14],[2,4,6,8,10,11,13],[2,4,7,9,10,11,14],[2,5,6,9,10,12,13],[2,6,8,9,11,12,14],[3,4,5,8,9,12,14],[3,4,5,10,11,13,14],[3,4,6,7,8,11,12],[3,5,6,10,11,12,14],[3,5,7,8,9,11,13],[4,5,6,7,8,9,10]]; G[1651]:=Group([(1,3,10)(2,14,12)(4,13,7)(6,11,8)]); # Design 1652: autom. group order 3, simple, residual B[1652]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,9,10,11],[1,3,6,7,9,13,14],[1,3,8,11,12,13,14],[1,4,5,6,10,12,13],[1,4,7,8,10,13,14],[1,4,7,9,10,11,14],[1,5,6,9,10,12,13],[1,6,7,8,9,11,12],[2,3,6,7,10,11,13],[2,3,9,10,12,13,14],[2,4,5,9,11,13,14],[2,4,6,7,9,12,14],[2,4,6,8,10,12,14],[2,5,7,8,9,12,13],[2,6,7,8,10,11,13],[3,4,5,7,8,9,13],[3,4,5,7,10,11,12],[3,4,6,8,9,11,12],[3,5,6,9,10,11,14],[3,5,7,8,10,12,14],[4,5,6,8,11,13,14]]; G[1652]:=Group([(1,5,12)(2,7,11)(6,10,13)]); # Design 1653: autom. group order 3, simple, residual B[1653]:=[[1,2,3,4,5,6,7],[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],[1,3,6,7,12,13,14],[1,3,7,8,10,12,14],[1,4,5,8,11,13,14],[1,4,6,7,10,11,13],[1,4,6,8,9,10,12],[1,5,6,9,10,12,13],[1,7,8,9,11,13,14],[2,3,6,8,9,11,13],[2,3,7,9,10,13,14],[2,4,5,7,8,12,13],[2,4,6,7,10,11,14],[2,4,6,9,12,13,14],[2,5,7,8,10,12,13],[2,6,8,10,11,12,14],[3,4,5,9,10,13,14],[3,4,5,10,11,12,14],[3,4,7,8,9,11,12],[3,5,6,7,9,11,12],[3,5,6,8,10,11,13],[4,5,6,7,8,9,14]]; G[1653]:=Group([(1,3,11)(2,12,13)(5,7,8)(6,9,14)]); # Design 1654: autom. group order 3, simple B[1654]:=[[1,2,3,4,5,6,7],[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],[1,2,5,10,12,13,14],[1,3,6,7,10,11,12],[1,3,8,9,12,13,14],[1,4,5,7,9,12,13],[1,4,6,7,9,10,13],[1,4,6,8,11,12,14],[1,5,6,10,11,13,14],[1,7,8,9,10,11,14],[2,3,6,9,10,11,12],[2,3,7,9,11,13,14],[2,4,5,8,10,11,13],[2,4,6,9,11,13,14],[2,4,7,8,10,12,14],[2,5,6,7,9,12,14],[2,6,7,8,10,12,13],[3,4,5,7,10,11,14],[3,4,5,9,10,12,14],[3,4,6,7,8,13,14],[3,5,6,8,9,10,13],[3,5,7,8,11,12,13],[4,5,6,8,9,11,12]]; G[1654]:=Group([(1,10,11)(3,8,13)(5,12,9)(6,7,14)]); # Design 1655: autom. group order 3, simple, residual B[1655]:=[[1,2,3,4,5,6,7],[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],[1,3,6,7,10,11,13],[1,3,8,9,10,12,13],[1,4,5,8,9,11,14],[1,4,6,7,8,9,13],[1,4,6,7,10,12,14],[1,5,6,9,10,12,14],[1,7,8,11,12,13,14],[2,3,6,9,11,13,14],[2,3,7,9,10,12,14],[2,4,5,8,10,12,13],[2,4,6,9,12,13,14],[2,4,7,8,10,11,14],[2,5,6,7,8,12,13],[2,6,7,8,9,10,11],[3,4,5,7,9,11,12],[3,4,5,7,10,13,14],[3,4,6,8,11,12,14],[3,5,6,8,10,11,12],[3,5,7,8,9,13,14],[4,5,6,9,10,11,13]]; G[1655]:=Group([(1,11,13)(2,3,12)(5,6,8)(7,14,10)]); # Design 1656: autom. group order 3, simple, residual B[1656]:=[[1,2,3,4,5,6,7],[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],[1,3,6,7,10,11,12],[1,3,8,9,10,12,13],[1,4,5,8,9,11,14],[1,4,6,7,9,13,14],[1,4,6,8,10,12,14],[1,5,6,7,9,10,13],[1,7,8,11,12,13,14],[2,3,6,9,11,12,14],[2,3,7,9,10,13,14],[2,4,5,7,8,12,13],[2,4,6,9,12,13,14],[2,4,7,8,9,10,11],[2,5,6,8,10,12,13],[2,6,7,8,10,11,14],[3,4,5,7,10,12,14],[3,4,5,10,11,13,14],[3,4,6,7,8,11,13],[3,5,6,8,9,11,13],[3,5,7,8,9,12,14],[4,5,6,9,10,11,12]]; G[1656]:=Group([(1,11,12)(2,3,13)(5,6,8)(9,10,14)]); # Design 1657: autom. group order 3, simple, residual B[1657]:=[[1,2,3,4,5,6,7],[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],[1,2,5,9,10,11,14],[1,3,6,8,9,11,12],[1,3,7,10,12,13,14],[1,4,5,9,10,12,14],[1,4,6,7,8,11,14],[1,4,6,7,9,10,13],[1,5,6,8,10,12,13],[1,7,8,9,11,13,14],[2,3,6,7,9,10,13],[2,3,8,9,12,13,14],[2,4,5,8,10,11,13],[2,4,6,9,11,13,14],[2,4,7,8,10,12,14],[2,5,6,7,9,12,14],[2,6,7,8,10,11,12],[3,4,5,7,8,13,14],[3,4,5,7,9,11,12],[3,4,6,10,11,12,14],[3,5,6,10,11,13,14],[3,5,7,8,9,10,11],[4,5,6,8,9,12,13]]; G[1657]:=Group([(1,6,7)(2,13,8)(3,9,14)(5,10,11)]); # Design 1658: autom. group order 3, simple, residual B[1658]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,10,11,12],[1,3,7,9,10,13,14],[1,4,5,9,10,12,14],[1,4,6,7,8,11,14],[1,4,6,7,9,10,13],[1,5,6,8,9,12,13],[1,7,8,11,12,13,14],[2,3,6,9,12,13,14],[2,3,7,8,10,12,13],[2,4,5,8,9,11,13],[2,4,6,10,11,13,14],[2,4,7,8,9,12,14],[2,5,6,7,10,12,14],[2,6,7,8,9,10,11],[3,4,5,7,8,13,14],[3,4,5,7,10,11,12],[3,4,6,9,11,12,14],[3,5,6,7,9,11,13],[3,5,8,9,10,11,14],[4,5,6,8,10,12,13]]; G[1658]:=Group([(1,13,14)(2,8,9)(3,5,12)(7,10,11)]); # Design 1659: autom. group order 3, simple, residual B[1659]:=[[1,2,3,4,5,6,7],[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],[1,3,6,7,8,11,12],[1,3,7,10,11,13,14],[1,4,5,7,10,12,14],[1,4,6,7,9,10,13],[1,4,6,8,9,11,14],[1,5,6,8,10,12,13],[1,7,8,9,12,13,14],[2,3,6,10,12,13,14],[2,3,7,8,9,12,13],[2,4,5,7,8,10,13],[2,4,6,7,11,13,14],[2,4,8,10,11,12,14],[2,5,6,7,9,12,14],[2,6,7,8,9,10,11],[3,4,5,7,9,11,12],[3,4,5,8,9,13,14],[3,4,6,9,10,12,14],[3,5,6,9,10,11,13],[3,5,7,8,10,11,14],[4,5,6,8,11,12,13]]; G[1659]:=Group([(1,13,14)(2,8,10)(3,5,12)(7,11,9)]); # Design 1660: autom. group order 3, simple, residual B[1660]:=[[1,2,3,4,5,6,7],[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],[1,3,6,7,10,11,12],[1,3,7,9,10,13,14],[1,4,5,7,10,11,14],[1,4,6,8,9,10,13],[1,4,6,9,12,13,14],[1,5,6,7,8,12,13],[1,7,8,9,11,12,14],[2,3,6,9,11,13,14],[2,3,7,8,10,12,13],[2,4,5,7,9,12,13],[2,4,6,7,10,12,14],[2,4,7,8,11,13,14],[2,5,6,9,10,12,14],[2,6,7,8,9,10,11],[3,4,5,7,8,9,14],[3,4,5,9,10,11,12],[3,4,6,8,11,12,14],[3,5,6,7,9,11,13],[3,5,8,10,12,13,14],[4,5,6,8,10,11,13]]; G[1660]:=Group([(1,6,10)(2,14,5)(3,12,11)(8,9,13)]); # Design 1661: autom. group order 3, simple, residual B[1661]:=[[1,2,3,4,5,6,7],[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],[1,2,5,9,10,11,13],[1,3,6,9,12,13,14],[1,3,7,9,10,11,14],[1,4,5,8,10,12,13],[1,4,6,7,8,10,11],[1,4,6,7,9,12,13],[1,5,7,8,9,13,14],[1,6,8,10,11,12,14],[2,3,6,7,8,11,13],[2,3,8,10,12,13,14],[2,4,5,7,10,12,14],[2,4,6,9,11,12,14],[2,4,7,8,9,13,14],[2,5,6,9,10,11,13],[2,6,7,8,9,10,12],[3,4,5,6,9,10,14],[3,4,5,8,9,11,12],[3,4,7,10,11,13,14],[3,5,6,7,10,12,13],[3,5,7,8,9,11,12],[4,5,6,8,11,13,14]]; G[1661]:=Group([(2,10,13)(3,8,12)(5,11,9)]); # Design 1662: autom. group order 3, simple, residual B[1662]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,11,12,13],[1,3,6,9,10,11,12],[1,3,7,9,10,13,14],[1,4,5,10,11,13,14],[1,4,6,7,12,13,14],[1,4,6,8,10,12,14],[1,5,7,8,9,10,13],[1,6,7,8,9,11,12],[2,3,6,7,10,11,14],[2,3,7,8,10,12,13],[2,4,5,9,10,12,14],[2,4,6,9,10,11,13],[2,4,7,8,9,12,14],[2,5,6,7,10,12,13],[2,6,8,9,11,13,14],[3,4,5,6,8,9,13],[3,4,5,7,9,11,12],[3,4,7,8,11,13,14],[3,5,6,9,12,13,14],[3,5,8,10,11,12,14],[4,5,6,7,8,10,11]]; G[1662]:=Group([(1,2,9)(3,4,10)(5,14,7)(6,12,13)]); # Design 1663: autom. group order 3, simple, residual B[1663]:=[[1,2,3,4,5,6,7],[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],[1,2,5,9,12,13,14],[1,3,6,8,12,13,14],[1,3,7,8,10,13,14],[1,4,5,9,10,11,13],[1,4,6,7,9,10,14],[1,4,6,8,9,11,14],[1,5,7,8,10,11,12],[1,6,7,10,11,12,13],[2,3,6,7,9,10,12],[2,3,9,10,11,13,14],[2,4,5,7,8,10,13],[2,4,6,7,11,13,14],[2,4,7,8,11,12,14],[2,5,6,8,10,13,14],[2,6,8,9,10,11,12],[3,4,5,6,10,12,14],[3,4,5,10,11,12,14],[3,4,7,8,9,12,13],[3,5,6,7,9,11,13],[3,5,7,8,9,11,14],[4,5,6,8,9,12,13]]; G[1663]:=Group([(1,2,9)(3,10,4)(5,12,14)]); # Design 1664: autom. group order 3, simple, residual B[1664]:=[[1,2,3,4,5,6,7],[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],[1,2,5,11,12,13,14],[1,3,6,9,11,12,14],[1,3,7,8,10,12,13],[1,4,5,8,10,11,13],[1,4,6,7,10,11,14],[1,4,7,9,12,13,14],[1,5,6,7,8,9,12],[1,6,8,9,10,13,14],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,9,12,14],[2,4,6,8,9,11,13],[2,4,7,8,10,12,14],[2,5,6,7,10,12,13],[2,6,7,8,11,13,14],[3,4,5,6,10,13,14],[3,4,5,7,9,13,14],[3,4,6,7,8,11,12],[3,5,7,8,9,11,13],[3,5,8,10,11,12,14],[4,5,6,9,10,11,12]]; G[1664]:=Group([(1,8,10)(3,4,9)(5,14,7)(6,12,11)]); # Design 1665: autom. group order 3, simple, residual B[1665]:=[[1,2,3,4,5,6,7],[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],[1,3,7,8,9,11,14],[1,4,5,10,12,13,14],[1,4,6,8,9,12,13],[1,4,7,8,10,12,14],[1,5,6,7,8,11,12],[1,6,7,9,10,13,14],[2,3,6,8,10,12,13],[2,3,7,9,12,13,14],[2,4,5,7,8,13,14],[2,4,6,7,11,12,14],[2,4,7,8,9,10,11],[2,5,6,7,9,10,12],[2,6,8,10,11,13,14],[3,4,5,6,9,10,14],[3,4,5,7,10,11,13],[3,4,6,9,11,12,14],[3,5,7,8,9,12,13],[3,5,8,10,11,12,14],[4,5,6,8,9,11,13]]; G[1665]:=Group([(1,3,12)(2,13,4)(5,7,14)(6,9,10)]); # Design 1666: autom. group order 3, simple, residual B[1666]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,6,7,8,9,12],[1,3,6,8,10,13,14],[1,4,5,6,10,11,13],[1,4,6,7,9,10,14],[1,4,7,8,11,13,14],[1,5,9,10,11,12,14],[1,7,8,9,11,12,13],[2,3,6,9,10,11,13],[2,3,7,10,11,12,14],[2,4,5,8,9,13,14],[2,4,6,7,12,13,14],[2,4,6,8,9,11,12],[2,5,7,8,9,10,13],[2,6,7,8,10,11,14],[3,4,5,7,8,10,12],[3,4,5,7,9,11,14],[3,4,9,10,12,13,14],[3,5,6,7,9,11,13],[3,5,6,8,12,13,14],[4,5,6,8,10,11,12]]; G[1666]:=Group([(1,2,3)(5,11,8)(6,12,10)(7,13,9)]); # Design 1667: autom. group order 3, simple, residual B[1667]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,9,10,12,13],[1,3,6,7,8,12,13],[1,3,6,8,10,13,14],[1,4,5,6,10,11,13],[1,4,6,7,9,10,14],[1,4,7,8,9,11,14],[1,5,7,10,11,12,14],[1,7,8,9,11,12,13],[2,3,6,7,9,10,11],[2,3,7,10,11,12,14],[2,4,5,7,8,13,14],[2,4,6,7,12,13,14],[2,4,6,8,9,11,12],[2,5,7,8,9,10,13],[2,6,8,10,11,13,14],[3,4,5,7,8,10,12],[3,4,5,9,11,13,14],[3,4,9,10,12,13,14],[3,5,6,7,9,11,13],[3,5,6,8,9,12,14],[4,5,6,8,10,11,12]]; G[1667]:=Group([(1,2,3)(5,11,8)(6,12,10)(7,13,9)]); # Design 1668: autom. group order 3, simple, residual B[1668]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,12,14],[1,2,5,8,9,12,13],[1,3,6,8,10,13,14],[1,3,6,9,10,11,12],[1,4,5,6,9,10,14],[1,4,6,7,11,13,14],[1,4,7,8,10,12,13],[1,5,7,9,10,11,13],[1,7,8,9,11,12,14],[2,3,6,7,9,12,13],[2,3,7,10,11,13,14],[2,4,5,7,8,10,11],[2,4,6,8,9,13,14],[2,4,7,9,10,12,14],[2,5,6,9,10,11,13],[2,6,8,10,11,12,14],[3,4,5,9,11,12,14],[3,4,5,10,12,13,14],[3,4,6,7,8,9,11],[3,5,6,7,8,10,12],[3,5,7,8,9,13,14],[4,5,6,8,11,12,13]]; G[1668]:=Group([(1,9,14)(2,13,3)(4,6,10)(7,11,12)]); # Design 1669: autom. group order 3, simple, residual B[1669]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,6,7,8,9,12],[1,3,6,8,10,13,14],[1,4,5,6,10,11,13],[1,4,6,7,8,11,14],[1,4,7,9,10,12,14],[1,5,7,9,10,11,13],[1,8,9,11,12,13,14],[2,3,6,9,10,11,12],[2,3,7,9,11,13,14],[2,4,5,8,12,13,14],[2,4,6,7,9,13,14],[2,4,7,8,10,11,12],[2,5,6,8,9,10,14],[2,6,7,8,10,11,13],[3,4,5,7,8,9,13],[3,4,5,9,10,11,14],[3,4,6,10,12,13,14],[3,5,6,7,11,12,14],[3,5,7,8,10,12,13],[4,5,6,8,9,11,12]]; G[1669]:=Group([(1,2,3)(5,11,8)(6,12,9)(7,13,10)]); # Design 1670: autom. group order 3, simple, residual B[1670]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,6,7,8,10,13],[1,3,6,9,10,11,14],[1,4,5,6,10,11,12],[1,4,6,7,8,9,14],[1,4,7,9,10,12,13],[1,5,7,10,11,13,14],[1,8,9,11,12,13,14],[2,3,6,10,12,13,14],[2,3,7,9,10,11,12],[2,4,5,9,10,13,14],[2,4,6,7,11,13,14],[2,4,7,8,10,11,14],[2,5,6,8,9,10,13],[2,6,7,8,9,11,12],[3,4,5,7,9,12,14],[3,4,5,8,9,11,13],[3,4,6,8,12,13,14],[3,5,6,7,9,11,13],[3,5,7,8,10,12,14],[4,5,6,8,10,11,12]]; G[1670]:=Group([(2,13,14)(3,7,9)(4,10,6)(5,12,11)]); # Design 1671: autom. group order 3, simple, residual B[1671]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,6,7,8,9,12],[1,3,6,8,10,13,14],[1,4,5,6,10,11,14],[1,4,6,7,8,11,13],[1,4,7,9,12,13,14],[1,5,7,9,10,11,13],[1,8,9,10,11,12,14],[2,3,6,9,10,11,12],[2,3,7,9,11,13,14],[2,4,5,8,10,12,13],[2,4,6,9,10,13,14],[2,4,7,8,11,12,14],[2,5,6,7,8,9,14],[2,6,7,8,10,11,13],[3,4,5,7,9,10,11],[3,4,5,8,9,13,14],[3,4,6,7,10,12,14],[3,5,6,11,12,13,14],[3,5,7,8,10,12,13],[4,5,6,8,9,11,12]]; G[1671]:=Group([(1,2,3)(5,11,8)(6,12,9)(7,13,10)]); # Design 1672: autom. group order 3, simple B[1672]:=[[1,2,3,4,5,6,7],[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],[1,2,5,7,8,12,13],[1,3,6,8,11,12,14],[1,3,6,9,10,12,13],[1,4,5,6,10,13,14],[1,4,7,8,10,11,13],[1,4,7,9,12,13,14],[1,5,6,7,9,11,12],[1,7,8,9,10,11,14],[2,3,6,7,9,11,13],[2,3,7,10,11,12,14],[2,4,5,9,11,13,14],[2,4,6,7,10,12,14],[2,4,6,8,9,10,12],[2,5,8,10,11,12,13],[2,6,7,8,9,13,14],[3,4,5,7,8,12,14],[3,4,5,7,9,10,11],[3,4,6,8,11,13,14],[3,5,6,7,8,10,13],[3,5,9,10,12,13,14],[4,5,6,8,9,11,12]]; G[1672]:=Group([(1,11,14)(2,9,12)(3,5,7)(6,10,8)]); # Design 1673: autom. group order 3, simple, residual B[1673]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,6,7,8,9,12],[1,3,6,8,10,13,14],[1,4,5,6,10,11,14],[1,4,7,8,9,10,11],[1,4,7,9,12,13,14],[1,5,7,9,10,11,13],[1,6,8,11,12,13,14],[2,3,6,9,10,11,12],[2,3,7,9,11,13,14],[2,4,5,6,7,8,13],[2,4,6,9,10,13,14],[2,4,7,8,11,12,14],[2,5,8,9,10,12,14],[2,6,7,8,10,11,13],[3,4,5,8,9,13,14],[3,4,5,10,11,12,13],[3,4,6,7,10,12,14],[3,5,6,7,9,11,14],[3,5,7,8,10,12,13],[4,5,6,8,9,11,12]]; G[1673]:=Group([(1,2,3)(5,11,8)(6,12,9)(7,13,10)]); # Design 1674: autom. group order 3, simple, residual B[1674]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,6,8,10,12,13],[1,4,5,6,11,13,14],[1,4,7,8,9,10,11],[1,4,7,10,12,13,14],[1,5,7,9,10,11,13],[1,6,7,8,11,12,14],[2,3,6,7,10,11,12],[2,3,7,10,11,13,14],[2,4,5,6,7,8,13],[2,4,6,9,10,13,14],[2,4,8,9,11,12,14],[2,5,8,10,12,13,14],[2,6,7,8,9,11,13],[3,4,5,7,8,10,14],[3,4,5,9,11,12,13],[3,4,6,7,9,12,14],[3,5,6,9,10,11,14],[3,5,7,8,9,12,13],[4,5,6,8,10,11,12]]; G[1674]:=Group([(1,2,3)(5,11,8)(6,12,10)(7,13,9)]); # Design 1675: autom. group order 3, simple, residual B[1675]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,6,7,8,10,14],[1,3,6,10,11,12,13],[1,4,5,6,10,12,14],[1,4,7,8,12,13,14],[1,4,8,9,11,13,14],[1,5,7,9,10,11,13],[1,6,7,8,9,11,12],[2,3,6,7,11,13,14],[2,3,9,10,12,13,14],[2,4,5,8,10,11,12],[2,4,6,7,8,10,13],[2,4,6,7,9,11,12],[2,5,7,8,12,13,14],[2,6,8,9,10,11,14],[3,4,5,6,8,9,13],[3,4,5,7,9,11,14],[3,4,7,9,10,12,14],[3,5,6,8,9,12,13],[3,5,7,8,10,11,12],[4,5,6,10,11,13,14]]; G[1675]:=Group([(1,7,10)(3,6,8)(5,13,9)]); # Design 1676: autom. group order 3, simple, residual B[1676]:=[[1,2,3,4,5,6,7],[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],[1,2,5,10,12,13,14],[1,3,6,7,10,12,14],[1,3,6,8,11,13,14],[1,4,5,6,7,9,10],[1,4,7,8,9,13,14],[1,4,9,10,11,12,14],[1,5,7,9,11,12,13],[1,6,7,8,10,11,13],[2,3,6,7,9,13,14],[2,3,7,9,10,12,13],[2,4,5,7,11,13,14],[2,4,6,8,10,12,13],[2,4,7,8,10,11,14],[2,5,6,9,10,11,14],[2,6,7,8,9,11,12],[3,4,5,6,10,11,13],[3,4,5,7,8,12,14],[3,4,6,9,11,12,14],[3,5,7,8,10,11,12],[3,5,8,9,10,13,14],[4,5,6,8,9,12,13]]; G[1676]:=Group([(1,7,12)(2,4,8)(3,14,6)(9,11,13)]); # Design 1677: autom. group order 3, simple, residual B[1677]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,6,7,11,12,14],[1,3,6,9,10,13,14],[1,4,5,6,7,8,13],[1,4,7,8,9,11,14],[1,4,7,10,12,13,14],[1,5,7,9,10,11,12],[1,6,8,9,10,11,13],[2,3,7,8,9,12,13],[2,3,7,10,11,13,14],[2,4,5,9,10,11,14],[2,4,6,7,8,10,14],[2,4,6,9,12,13,14],[2,5,6,7,9,11,13],[2,6,7,8,10,11,12],[3,4,5,6,10,11,13],[3,4,5,7,9,10,12],[3,4,6,8,9,11,12],[3,5,6,8,10,12,14],[3,5,7,8,9,13,14],[4,5,8,11,12,13,14]]; G[1677]:=Group([(1,8,12)(2,5,13)(3,14,4)(6,7,9)]); # Design 1678: autom. group order 3, simple, residual B[1678]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,7,8,10,13],[1,3,6,7,8,12,14],[1,3,6,9,10,13,14],[1,4,5,7,9,11,12],[1,4,6,7,9,10,11],[1,4,6,8,11,13,14],[1,5,8,9,10,12,13],[1,7,10,11,12,13,14],[2,3,6,7,10,11,13],[2,3,7,9,10,12,14],[2,4,5,6,10,12,13],[2,4,7,8,9,13,14],[2,4,8,10,11,12,14],[2,5,6,9,11,13,14],[2,6,7,8,9,11,12],[3,4,5,7,12,13,14],[3,4,5,9,10,11,14],[3,4,6,8,9,12,13],[3,5,6,8,10,11,12],[3,5,7,8,9,11,13],[4,5,6,7,8,10,14]]; G[1678]:=Group([(1,5,9)(2,11,10)(4,8,14)(6,7,13)]); # Design 1679: autom. group order 3, simple, residual B[1679]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,6,7,12,13,14],[1,3,6,9,10,11,12],[1,4,5,8,9,13,14],[1,4,6,7,8,9,12],[1,4,6,7,10,11,14],[1,5,10,11,12,13,14],[1,7,8,9,10,11,13],[2,3,6,9,10,13,14],[2,3,7,8,10,12,14],[2,4,5,7,10,11,12],[2,4,6,8,10,11,13],[2,4,7,9,12,13,14],[2,5,6,7,9,11,13],[2,6,8,9,11,12,14],[3,4,5,6,9,11,14],[3,4,5,9,10,12,13],[3,4,7,8,11,13,14],[3,5,6,7,8,10,13],[3,5,7,8,9,11,12],[4,5,6,8,10,12,14]]; G[1679]:=Group([(2,6,9)(3,7,8)(5,12,10)(11,14,13)]); # Design 1680: autom. group order 3, simple, residual B[1680]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,9,10,12,13],[1,3,6,7,8,12,13],[1,3,6,8,10,13,14],[1,4,5,7,11,13,14],[1,4,6,7,9,10,14],[1,4,6,8,9,11,12],[1,5,7,9,10,11,13],[1,7,8,10,11,12,14],[2,3,6,7,9,10,11],[2,3,7,10,11,12,14],[2,4,5,7,8,10,12],[2,4,6,7,12,13,14],[2,4,8,9,11,13,14],[2,5,6,8,10,13,14],[2,6,7,8,9,11,13],[3,4,5,6,10,11,13],[3,4,5,7,8,9,14],[3,4,9,10,12,13,14],[3,5,6,9,11,12,14],[3,5,7,8,9,12,13],[4,5,6,8,10,11,12]]; G[1680]:=Group([(1,2,3)(5,11,8)(6,12,10)(7,13,9)]); # Design 1681: autom. group order 3, simple, residual B[1681]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,5,8,12,13,14],[1,3,6,7,8,9,14],[1,3,6,7,10,11,12],[1,4,5,7,9,12,13],[1,4,6,8,10,13,14],[1,4,6,10,11,13,14],[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],[2,4,5,7,8,10,11],[2,4,6,7,8,9,13],[2,4,6,7,11,12,14],[2,5,6,9,11,13,14],[2,6,8,9,10,11,12],[3,4,5,6,9,12,14],[3,4,5,9,10,11,13],[3,4,8,9,11,12,14],[3,5,6,7,8,11,13],[3,5,6,8,10,12,13],[4,5,7,8,10,12,14]]; G[1681]:=Group([(1,4,6)(2,7,3)(10,13,14)]); # Design 1682: autom. group order 3, simple, residual B[1682]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,5,8,12,13,14],[1,3,6,7,8,9,14],[1,3,6,7,10,11,12],[1,4,5,7,9,12,13],[1,4,6,8,10,13,14],[1,4,6,10,11,13,14],[1,5,7,9,11,13,14],[1,7,8,9,10,11,12],[2,3,7,9,10,13,14],[2,3,7,10,12,13,14],[2,4,5,7,8,10,11],[2,4,6,7,8,9,13],[2,4,6,7,11,12,14],[2,5,6,9,10,11,13],[2,6,8,9,11,12,14],[3,4,5,6,9,12,14],[3,4,5,9,10,11,14],[3,4,8,9,11,12,13],[3,5,6,7,8,11,13],[3,5,6,8,10,12,13],[4,5,7,8,10,12,14]]; G[1682]:=Group([(1,4,6)(2,7,3)(10,13,14)]); # Design 1683: autom. group order 3, simple, residual B[1683]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,5,8,10,12,14],[1,3,6,7,8,9,13],[1,3,6,7,11,12,14],[1,4,5,7,9,10,12],[1,4,6,8,10,13,14],[1,4,6,10,11,13,14],[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],[2,4,5,7,8,11,13],[2,4,6,7,8,9,14],[2,4,6,7,10,11,12],[2,5,6,9,10,11,13],[2,6,8,9,11,12,14],[3,4,5,6,9,12,14],[3,4,5,9,11,13,14],[3,4,8,9,10,11,12],[3,5,6,7,8,10,11],[3,5,6,8,10,12,13],[4,5,7,8,12,13,14]]; G[1683]:=Group([(1,4,6)(2,7,3)(10,14,13)]); # Design 1684: autom. group order 3, simple, residual B[1684]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,5,8,10,12,14],[1,3,6,7,8,9,13],[1,3,6,7,11,12,14],[1,4,5,7,9,10,12],[1,4,6,8,10,13,14],[1,4,6,10,11,13,14],[1,5,7,9,10,11,13],[1,7,8,9,11,12,14],[2,3,7,9,10,13,14],[2,3,7,10,12,13,14],[2,4,5,7,8,11,13],[2,4,6,7,8,9,14],[2,4,6,7,10,11,12],[2,5,6,9,11,13,14],[2,6,8,9,10,11,12],[3,4,5,6,9,12,14],[3,4,5,9,10,11,14],[3,4,8,9,11,12,13],[3,5,6,7,8,10,11],[3,5,6,8,10,12,13],[4,5,7,8,12,13,14]]; G[1684]:=Group([(1,4,6)(2,7,3)(10,14,13)]); # Design 1685: autom. group order 3, simple, residual B[1685]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,5,8,10,12,14],[1,3,6,7,8,9,13],[1,3,6,7,11,12,14],[1,4,5,7,9,10,12],[1,4,6,8,10,13,14],[1,4,6,10,11,13,14],[1,5,7,9,11,13,14],[1,7,8,9,10,11,12],[2,3,7,9,10,13,14],[2,3,7,10,12,13,14],[2,4,5,7,8,11,13],[2,4,6,7,8,9,14],[2,4,6,7,10,11,12],[2,5,6,9,10,11,14],[2,6,8,9,11,12,13],[3,4,5,6,9,12,14],[3,4,5,9,10,11,13],[3,4,8,9,11,12,14],[3,5,6,7,8,10,11],[3,5,6,8,10,12,13],[4,5,7,8,12,13,14]]; G[1685]:=Group([(1,4,6)(2,7,3)(10,14,13)]); # Design 1686: autom. group order 3, simple, residual B[1686]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,10],[1,2,5,9,12,13,14],[1,3,6,7,12,13,14],[1,3,6,8,9,11,12],[1,4,5,7,8,10,12],[1,4,6,8,10,13,14],[1,4,7,9,11,13,14],[1,5,6,10,11,12,14],[1,7,8,9,10,11,13],[2,3,6,8,10,13,14],[2,3,7,9,10,12,14],[2,4,5,6,9,11,13],[2,4,6,7,8,12,13],[2,4,7,10,11,12,14],[2,5,8,10,11,12,13],[2,6,7,8,9,11,14],[3,4,5,7,8,11,14],[3,4,5,9,10,13,14],[3,4,6,9,10,11,12],[3,5,6,7,10,11,13],[3,5,7,8,9,12,13],[4,5,6,8,9,12,14]]; G[1686]:=Group([(1,3,10)(2,9,8)(5,12,13)(7,11,14)]); # Design 1687: autom. group order 3, simple, residual B[1687]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,6,7,9,11,12],[1,3,6,9,10,13,14],[1,4,5,7,10,12,14],[1,4,6,7,8,10,13],[1,4,10,11,12,13,14],[1,5,6,8,9,11,12],[1,7,8,9,11,13,14],[2,3,6,8,10,12,13],[2,3,7,9,12,13,14],[2,4,5,6,11,13,14],[2,4,6,7,9,12,14],[2,4,7,8,9,10,11],[2,5,7,9,10,11,13],[2,6,8,10,11,12,14],[3,4,5,8,9,13,14],[3,4,5,9,10,11,12],[3,4,6,7,8,11,14],[3,5,6,7,10,11,13],[3,5,7,8,10,12,14],[4,5,6,8,9,12,13]]; G[1687]:=Group([(1,7,8)(2,6,14)(4,11,5)(9,12,10)]); # Design 1688: autom. group order 3, simple B[1688]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,12,13,14],[1,2,5,7,8,9,12],[1,3,6,7,10,11,13],[1,3,6,9,10,12,14],[1,4,5,7,10,13,14],[1,4,6,7,8,9,13],[1,4,9,10,11,12,14],[1,5,6,8,9,10,11],[1,7,8,11,12,13,14],[2,3,6,8,10,12,13],[2,3,7,9,10,13,14],[2,4,5,6,10,11,14],[2,4,6,7,9,12,14],[2,4,7,8,10,11,12],[2,5,7,9,10,11,13],[2,6,8,9,11,13,14],[3,4,5,8,9,13,14],[3,4,5,9,11,12,13],[3,4,6,7,8,11,14],[3,5,6,7,9,11,12],[3,5,7,8,10,12,14],[4,5,6,8,10,12,13]]; G[1688]:=Group([(1,7,8)(2,6,14)(4,11,5)(9,13,12)]); # Design 1689: autom. group order 3, simple B[1689]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,6,7,8,9,12],[1,3,6,7,10,13,14],[1,4,5,10,12,13,14],[1,4,6,7,9,11,12],[1,4,8,9,11,13,14],[1,5,6,9,10,11,13],[1,7,8,10,11,12,14],[2,3,6,9,10,11,14],[2,3,7,11,12,13,14],[2,4,5,7,9,12,14],[2,4,6,7,10,11,13],[2,4,6,8,9,13,14],[2,5,6,8,10,11,12],[2,7,8,9,10,12,13],[3,4,5,7,8,10,13],[3,4,5,9,10,11,12],[3,4,6,8,10,12,14],[3,5,6,9,12,13,14],[3,5,7,8,9,11,13],[4,5,6,7,8,11,14]]; G[1689]:=Group([(1,4,11)(2,7,8)(3,6,14)(9,13,12)]); # Design 1690: autom. group order 3, simple, residual B[1690]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,6,7,8,10,14],[1,3,6,8,9,11,13],[1,4,5,7,10,13,14],[1,4,6,8,12,13,14],[1,4,7,9,11,12,14],[1,5,6,9,10,11,12],[1,7,8,10,11,12,13],[2,3,6,7,11,12,14],[2,3,9,10,12,13,14],[2,4,5,8,10,11,13],[2,4,6,7,8,10,12],[2,4,6,7,9,11,13],[2,5,6,8,12,13,14],[2,7,8,9,10,11,14],[3,4,5,7,8,9,12],[3,4,5,10,11,12,14],[3,4,6,9,10,13,14],[3,5,6,7,10,11,13],[3,5,7,8,9,12,13],[4,5,6,8,9,11,14]]; G[1690]:=Group([(1,6,10)(3,7,8)(5,12,9)]); # Design 1691: autom. group order 3, simple, residual B[1691]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,6,7,12,13,14],[1,3,6,8,10,11,13],[1,4,5,7,9,10,12],[1,4,6,9,10,11,14],[1,4,8,9,12,13,14],[1,5,6,7,9,11,13],[1,7,8,10,11,12,14],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,9,11,13,14],[2,4,6,7,8,13,14],[2,4,6,7,10,11,12],[2,5,6,8,10,12,14],[2,7,8,9,11,12,13],[3,4,5,7,8,11,12],[3,4,5,10,12,13,14],[3,4,6,7,8,9,14],[3,5,6,9,11,12,14],[3,5,7,8,9,10,13],[4,5,6,8,10,11,13]]; G[1691]:=Group([(1,3,9)(2,10,4)(5,13,14)(7,12,11)]); # Design 1692: autom. group order 3, simple B[1692]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,6,7,8,11,12],[1,3,6,9,10,13,14],[1,4,5,8,10,12,13],[1,4,6,8,10,11,14],[1,4,7,9,12,13,14],[1,5,6,7,9,11,14],[1,7,8,9,10,11,13],[2,3,6,7,8,9,13],[2,3,9,10,11,12,14],[2,4,5,7,9,10,11],[2,4,6,7,10,11,13],[2,4,6,8,9,12,14],[2,5,6,8,10,13,14],[2,7,8,11,12,13,14],[3,4,5,7,8,13,14],[3,4,5,9,11,13,14],[3,4,6,7,10,12,14],[3,5,6,10,11,12,13],[3,5,7,8,9,10,12],[4,5,6,8,9,11,12]]; G[1692]:=Group([(2,8,13)(3,10,12)(5,11,9)(6,14,7)]); # Design 1693: autom. group order 3, simple, residual B[1693]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,6,7,8,9,14],[1,3,6,10,11,12,14],[1,4,5,9,10,11,13],[1,4,6,8,11,13,14],[1,4,7,9,10,12,14],[1,5,6,7,8,10,13],[1,7,8,9,11,12,13],[2,3,6,8,10,12,13],[2,3,7,9,10,11,13],[2,4,5,8,9,12,14],[2,4,6,7,8,9,11],[2,4,6,7,10,13,14],[2,5,6,9,11,13,14],[2,7,8,10,11,12,14],[3,4,5,7,8,12,13],[3,4,5,7,10,11,14],[3,4,6,9,12,13,14],[3,5,6,7,9,11,12],[3,5,8,9,10,13,14],[4,5,6,8,10,11,12]]; G[1693]:=Group([(1,3,13)(2,12,11)(5,6,9)(7,14,10)]); # Design 1694: autom. group order 3, simple, residual B[1694]:=[[1,2,3,4,5,6,7],[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],[1,2,5,10,11,13,14],[1,3,6,8,12,13,14],[1,3,6,9,10,11,13],[1,4,5,7,8,11,14],[1,4,6,7,8,9,13],[1,4,7,9,10,12,14],[1,5,6,9,10,12,14],[1,7,8,10,11,12,13],[2,3,6,7,10,12,14],[2,3,7,9,11,13,14],[2,4,5,9,10,12,13],[2,4,6,8,10,11,14],[2,4,6,8,12,13,14],[2,5,7,8,9,12,13],[2,6,7,8,9,10,11],[3,4,5,6,7,10,13],[3,4,5,8,10,11,12],[3,4,7,9,11,12,14],[3,5,6,8,9,11,12],[3,5,7,8,10,13,14],[4,5,6,9,11,13,14]]; G[1694]:=Group([(1,11,13)(2,3,12)(5,9,8)(6,7,14)]); # Design 1695: autom. group order 3, simple, residual B[1695]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,7,8,10,13],[1,3,6,7,8,12,13],[1,3,6,7,9,10,14],[1,4,5,9,10,13,14],[1,4,6,8,11,12,14],[1,4,7,9,10,11,12],[1,5,6,10,11,12,13],[1,7,8,9,11,13,14],[2,3,6,9,10,12,13],[2,3,7,9,11,12,14],[2,4,5,7,12,13,14],[2,4,6,7,8,10,11],[2,4,6,8,9,13,14],[2,5,8,9,10,11,12],[2,6,7,10,11,13,14],[3,4,5,6,10,11,14],[3,4,5,7,9,11,13],[3,4,8,10,12,13,14],[3,5,6,8,9,11,13],[3,5,7,8,10,12,14],[4,5,6,7,8,9,12]]; G[1695]:=Group([(2,9,12)(3,10,11)(5,14,6)(7,13,8)]); # Design 1696: autom. group order 3, simple, residual B[1696]:=[[1,2,3,4,5,6,7],[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],[1,2,5,7,10,13,14],[1,3,6,7,11,13,14],[1,3,6,9,10,12,13],[1,4,5,7,10,12,14],[1,4,6,9,12,13,14],[1,4,7,8,9,11,14],[1,5,6,8,10,11,12],[1,7,8,9,10,11,13],[2,3,6,8,10,13,14],[2,3,7,10,11,12,14],[2,4,5,9,10,11,13],[2,4,6,7,8,11,13],[2,4,6,7,9,10,12],[2,5,9,11,12,13,14],[2,6,7,8,9,12,14],[3,4,5,6,9,11,14],[3,4,5,7,8,12,13],[3,4,8,10,11,12,14],[3,5,6,7,9,10,11],[3,5,7,8,9,12,13],[4,5,6,8,10,13,14]]; G[1696]:=Group([(1,6,11)(3,7,13)(5,8,12)]); # Design 1697: autom. group order 3, simple, residual B[1697]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,6,7,8,11,12],[1,3,6,8,10,13,14],[1,4,5,9,11,12,14],[1,4,6,7,9,10,14],[1,4,7,8,12,13,14],[1,5,6,10,11,12,13],[1,7,8,9,10,11,13],[2,3,6,7,9,12,13],[2,3,9,10,11,13,14],[2,4,5,7,8,10,11],[2,4,6,7,11,13,14],[2,4,6,8,10,12,14],[2,5,7,8,10,12,13],[2,6,8,9,11,12,14],[3,4,5,6,8,9,13],[3,4,5,10,12,13,14],[3,4,7,9,10,11,12],[3,5,6,7,10,11,14],[3,5,7,8,9,12,14],[4,5,6,8,9,11,13]]; G[1697]:=Group([(1,7,14)(2,12,10)(4,9,13)(5,8,6)]); # Design 1698: autom. group order 3, simple B[1698]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,6,7,8,9,14],[1,3,6,8,10,12,13],[1,4,5,7,9,10,11],[1,4,6,9,12,13,14],[1,4,7,8,11,12,14],[1,5,6,10,11,13,14],[1,7,8,9,10,11,13],[2,3,6,7,10,11,12],[2,3,9,10,11,13,14],[2,4,5,8,10,13,14],[2,4,6,7,8,11,13],[2,4,7,9,10,12,14],[2,5,6,7,8,9,13],[2,6,8,9,11,12,14],[3,4,5,6,9,11,14],[3,4,5,8,9,12,13],[3,4,6,7,10,13,14],[3,5,7,8,10,12,14],[3,5,7,9,11,12,13],[4,5,6,8,10,11,12]]; G[1698]:=Group([(1,2,3)(5,11,8)(6,12,10)(7,13,9)]); # Design 1699: autom. group order 3, simple, residual B[1699]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,6,7,8,9,12],[1,3,6,8,10,13,14],[1,4,5,9,10,11,13],[1,4,6,10,12,13,14],[1,4,7,8,11,12,14],[1,5,6,7,9,11,14],[1,7,8,9,10,11,13],[2,3,6,9,10,11,12],[2,3,7,9,11,13,14],[2,4,5,8,9,13,14],[2,4,6,7,8,10,11],[2,4,7,9,10,12,14],[2,5,6,7,8,10,13],[2,6,8,11,12,13,14],[3,4,5,6,10,11,14],[3,4,5,7,8,12,13],[3,4,6,7,9,13,14],[3,5,7,10,11,12,13],[3,5,8,9,10,12,14],[4,5,6,8,9,11,12]]; G[1699]:=Group([(1,2,3)(5,11,8)(6,12,9)(7,13,10)]); # Design 1700: autom. group order 3, simple, residual B[1700]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,6,7,10,12,14],[1,3,6,8,10,11,13],[1,4,5,9,10,11,14],[1,4,6,8,9,13,14],[1,4,7,9,10,12,13],[1,5,6,7,10,11,13],[1,7,8,9,11,12,14],[2,3,6,9,10,13,14],[2,3,7,9,10,11,12],[2,4,5,10,12,13,14],[2,4,6,7,11,13,14],[2,4,7,8,10,11,14],[2,5,6,7,8,9,10],[2,6,8,9,11,12,13],[3,4,5,6,9,11,12],[3,4,5,7,8,9,13],[3,4,6,7,8,12,14],[3,5,7,9,11,13,14],[3,5,8,10,12,13,14],[4,5,6,8,10,11,12]]; G[1700]:=Group([(1,2,9)(3,10,4)(5,6,14)(7,13,11)]); # Design 1701: autom. group order 3, simple, residual B[1701]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,6,7,8,9,13],[1,3,6,7,11,12,14],[1,4,5,9,10,13,14],[1,4,6,9,10,11,12],[1,4,7,8,10,11,14],[1,5,6,7,10,11,13],[1,7,8,9,12,13,14],[2,3,6,9,10,11,13],[2,3,7,9,10,12,14],[2,4,5,7,9,11,14],[2,4,6,7,10,13,14],[2,4,7,8,11,12,13],[2,5,6,7,8,10,12],[2,6,8,9,11,13,14],[3,4,5,6,8,13,14],[3,4,5,7,9,12,13],[3,4,6,8,10,12,14],[3,5,7,8,9,10,11],[3,5,10,11,12,13,14],[4,5,6,8,9,11,12]]; G[1701]:=Group([(1,3,10)(2,9,4)(5,7,14)(6,12,13)]); # Design 1702: autom. group order 3, simple, residual B[1702]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,5,7,9,12,14],[1,3,6,7,9,13,14],[1,3,6,10,11,12,14],[1,4,5,7,8,10,13],[1,4,6,8,9,11,14],[1,4,7,10,12,13,14],[1,5,6,9,10,11,13],[1,7,8,9,10,11,12],[2,3,7,10,11,13,14],[2,3,8,9,10,12,13],[2,4,5,9,10,11,14],[2,4,6,7,8,10,14],[2,4,6,9,12,13,14],[2,5,6,7,10,11,12],[2,6,7,8,9,11,13],[3,4,5,6,9,10,12],[3,4,5,7,9,11,13],[3,4,6,7,8,11,12],[3,5,6,8,10,13,14],[3,5,7,8,9,12,14],[4,5,8,11,12,13,14]]; G[1702]:=Group([(1,8,12)(2,5,13)(3,14,4)(7,10,9)]); # Design 1703: autom. group order 3, simple, residual B[1703]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,5,9,10,12,14],[1,3,6,7,8,9,13],[1,3,6,7,10,11,12],[1,4,5,7,8,10,13],[1,4,6,8,11,12,14],[1,4,7,9,12,13,14],[1,5,6,10,11,13,14],[1,7,8,9,10,11,14],[2,3,7,9,11,13,14],[2,3,8,10,12,13,14],[2,4,5,7,9,10,11],[2,4,6,7,10,12,14],[2,4,6,8,10,11,13],[2,5,6,7,8,13,14],[2,6,7,8,9,11,12],[3,4,5,6,9,11,14],[3,4,5,7,8,12,14],[3,4,6,9,10,13,14],[3,5,6,8,9,10,12],[3,5,7,10,11,12,13],[4,5,8,9,11,12,13]]; G[1703]:=Group([(1,11,14)(2,7,4)(3,9,12)(5,10,6)]); # Design 1704: autom. group order 3, simple, residual B[1704]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,6,7,11,12,14],[1,4,5,7,8,9,13],[1,4,6,8,10,11,14],[1,4,7,10,12,13,14],[1,5,6,9,10,11,13],[1,7,8,9,10,11,12],[2,3,7,8,10,12,13],[2,3,9,10,11,13,14],[2,4,5,7,9,11,14],[2,4,6,7,8,10,14],[2,4,6,9,12,13,14],[2,5,6,7,10,11,12],[2,6,7,8,9,11,13],[3,4,5,6,9,10,12],[3,4,5,7,10,11,13],[3,4,6,8,9,11,12],[3,5,6,8,10,13,14],[3,5,7,8,9,12,14],[4,5,8,11,12,13,14]]; G[1704]:=Group([(1,8,12)(2,5,13)(3,14,4)(7,10,9)]); # Design 1705: autom. group order 3, simple, residual B[1705]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,6,10,11,12,14],[1,4,5,7,8,10,13],[1,4,6,7,8,11,14],[1,4,7,9,12,13,14],[1,5,6,9,10,11,13],[1,7,8,9,10,11,12],[2,3,7,8,9,12,13],[2,3,7,10,11,13,14],[2,4,5,7,9,11,14],[2,4,6,8,9,10,14],[2,4,6,10,12,13,14],[2,5,6,7,9,11,12],[2,6,7,8,10,11,13],[3,4,5,6,7,10,12],[3,4,5,9,10,11,13],[3,4,6,8,9,11,12],[3,5,6,8,9,13,14],[3,5,7,8,10,12,14],[4,5,8,11,12,13,14]]; G[1705]:=Group([(1,8,12)(2,5,13)(3,14,4)(7,9,10)]); # Design 1706: autom. group order 3, simple, residual B[1706]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,6,10,11,12,14],[1,4,5,7,8,9,13],[1,4,6,8,9,11,14],[1,4,7,10,12,13,14],[1,5,6,7,10,11,13],[1,7,8,9,10,11,12],[2,3,7,8,10,12,13],[2,3,7,9,11,13,14],[2,4,5,7,10,11,14],[2,4,6,7,8,10,14],[2,4,6,9,12,13,14],[2,5,6,7,9,11,12],[2,6,8,9,10,11,13],[3,4,5,6,9,10,12],[3,4,5,9,10,11,13],[3,4,6,7,8,11,12],[3,5,6,8,10,13,14],[3,5,7,8,9,12,14],[4,5,8,11,12,13,14]]; G[1706]:=Group([(1,8,12)(2,5,13)(3,14,4)(7,10,9)]); # Design 1707: autom. group order 3, simple, residual B[1707]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,6,7,11,12,14],[1,3,6,9,10,13,14],[1,4,5,7,8,9,13],[1,4,6,8,10,11,14],[1,4,7,10,12,13,14],[1,5,6,7,9,11,13],[1,7,8,9,10,11,12],[2,3,7,8,10,12,13],[2,3,7,9,11,13,14],[2,4,5,7,10,11,14],[2,4,6,7,8,9,14],[2,4,6,9,12,13,14],[2,5,6,9,10,11,12],[2,6,7,8,10,11,13],[3,4,5,6,7,10,12],[3,4,5,9,10,11,13],[3,4,6,8,9,11,12],[3,5,6,8,10,13,14],[3,5,7,8,9,12,14],[4,5,8,11,12,13,14]]; G[1707]:=Group([(1,8,12)(2,5,13)(3,14,4)(7,10,9)]); # Design 1708: autom. group order 3, simple, residual B[1708]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,6,10,11,13,14],[1,4,5,9,10,11,14],[1,4,6,7,8,10,14],[1,4,7,9,12,13,14],[1,5,6,7,9,11,13],[1,7,8,9,10,11,12],[2,3,7,9,10,13,14],[2,3,7,9,11,12,14],[2,4,5,7,8,9,13],[2,4,6,7,8,11,14],[2,4,6,10,12,13,14],[2,5,6,7,10,11,12],[2,6,8,9,10,11,13],[3,4,5,6,9,10,12],[3,4,5,7,10,11,13],[3,4,6,8,9,11,12],[3,5,6,8,9,13,14],[3,5,7,8,10,12,14],[4,5,8,11,12,13,14]]; G[1708]:=Group([(1,5,13)(2,8,12)(3,14,4)(6,9,7)]); # Design 1709: autom. group order 3, simple, residual B[1709]:=[[1,2,3,4,5,6,7],[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],[1,2,5,10,11,13,14],[1,3,6,7,10,12,14],[1,3,6,8,10,11,13],[1,4,5,7,8,12,13],[1,4,6,9,12,13,14],[1,4,7,9,10,11,14],[1,5,8,9,10,12,13],[1,6,7,8,9,11,14],[2,3,6,9,12,13,14],[2,3,7,8,11,13,14],[2,4,5,6,9,10,11],[2,4,6,7,8,9,13],[2,4,7,8,10,12,14],[2,5,6,8,10,12,14],[2,7,9,10,11,12,13],[3,4,5,7,10,13,14],[3,4,5,9,11,12,14],[3,4,6,8,10,11,12],[3,5,6,7,9,10,13],[3,5,7,8,9,11,12],[4,5,6,8,11,13,14]]; G[1709]:=Group([(1,3,12)(2,11,13)(5,8,9)(7,10,14)]); # Design 1710: autom. group order 3, simple B[1710]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,5,7,9,13,14],[1,3,6,7,10,11,12],[1,3,6,8,12,13,14],[1,4,5,7,9,10,11],[1,4,6,9,10,12,14],[1,4,8,10,11,13,14],[1,5,7,8,10,12,13],[1,6,7,9,11,13,14],[2,3,6,9,10,11,14],[2,3,7,9,10,12,13],[2,4,5,6,10,13,14],[2,4,6,7,8,11,13],[2,4,7,8,10,12,14],[2,5,6,10,11,12,13],[2,7,8,9,11,12,14],[3,4,5,7,11,12,14],[3,4,5,9,12,13,14],[3,4,6,7,8,9,13],[3,5,6,7,8,10,14],[3,5,8,9,10,11,13],[4,5,6,8,9,11,12]]; G[1710]:=Group([(1,3,10)(2,9,4)(5,13,14)(6,7,12)]); # Design 1711: autom. group order 3, simple, residual B[1711]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,6,7,8,11,12],[1,3,6,8,10,13,14],[1,4,5,7,10,11,13],[1,4,6,7,9,10,14],[1,4,7,8,12,13,14],[1,5,8,9,10,11,12],[1,6,9,11,12,13,14],[2,3,6,7,9,12,13],[2,3,9,10,11,13,14],[2,4,5,6,11,12,14],[2,4,6,8,10,12,14],[2,4,7,8,9,11,14],[2,5,7,8,10,12,13],[2,6,7,8,10,11,13],[3,4,5,6,8,9,13],[3,4,5,10,12,13,14],[3,4,7,9,10,11,12],[3,5,6,7,10,11,14],[3,5,7,8,9,12,14],[4,5,6,8,9,11,13]]; G[1711]:=Group([(1,7,14)(2,12,10)(4,9,13)(5,8,6)]); # Design 1712: autom. group order 3, simple, residual B[1712]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,6,7,8,9,12],[1,3,6,8,10,13,14],[1,4,5,9,11,13,14],[1,4,6,7,9,10,14],[1,4,7,8,10,11,12],[1,5,7,9,10,11,13],[1,6,8,11,12,13,14],[2,3,6,9,10,11,13],[2,3,7,10,11,12,14],[2,4,5,6,8,10,13],[2,4,6,7,12,13,14],[2,4,7,8,9,11,14],[2,5,8,9,10,12,14],[2,6,7,8,9,11,13],[3,4,5,6,9,11,12],[3,4,5,7,8,13,14],[3,4,9,10,12,13,14],[3,5,6,7,10,11,14],[3,5,7,8,9,12,13],[4,5,6,8,10,11,12]]; G[1712]:=Group([(1,2,3)(5,11,8)(6,12,10)(7,13,9)]); # Design 1713: autom. group order 3, simple B[1713]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,5,7,8,10,13],[1,3,6,7,9,10,14],[1,3,6,10,11,12,13],[1,4,5,9,12,13,14],[1,4,6,10,11,13,14],[1,4,7,8,9,11,14],[1,5,7,8,10,12,13],[1,6,7,8,9,11,12],[2,3,6,8,10,12,14],[2,3,7,9,12,13,14],[2,4,5,9,10,11,12],[2,4,6,7,8,11,12],[2,4,6,7,9,10,13],[2,5,6,7,11,13,14],[2,8,9,10,11,13,14],[3,4,5,6,8,9,13],[3,4,5,7,10,11,14],[3,4,7,8,12,13,14],[3,5,6,8,9,11,13],[3,5,7,9,10,11,12],[4,5,6,8,10,12,14]]; G[1713]:=Group([(1,7,10)(3,6,9)(5,13,8)]); # Design 1714: autom. group order 3, simple, residual B[1714]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,6,7,8,10,13],[1,3,6,8,9,12,14],[1,4,5,7,11,13,14],[1,4,7,8,10,11,12],[1,4,9,10,12,13,14],[1,5,6,9,10,11,14],[1,6,7,8,9,11,13],[2,3,6,10,11,13,14],[2,3,7,9,10,11,12],[2,4,5,6,8,10,13],[2,4,6,7,9,10,14],[2,4,8,9,11,13,14],[2,5,7,8,9,12,13],[2,6,7,8,11,12,14],[3,4,5,6,9,11,12],[3,4,5,7,8,9,14],[3,4,6,7,12,13,14],[3,5,7,9,10,11,13],[3,5,8,10,12,13,14],[4,5,6,8,10,11,12]]; G[1714]:=Group([(1,2,3)(5,11,8)(6,12,10)(7,13,9)]); # Design 1715: autom. group order 3, simple, residual B[1715]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,6,7,8,9,12],[1,3,6,8,10,13,14],[1,4,5,9,11,13,14],[1,4,7,8,10,11,12],[1,4,9,10,12,13,14],[1,5,6,7,10,11,14],[1,6,7,8,9,11,13],[2,3,6,9,10,11,13],[2,3,7,10,11,12,14],[2,4,5,6,8,10,13],[2,4,6,7,9,10,14],[2,4,7,8,9,11,14],[2,5,7,8,9,12,13],[2,6,8,11,12,13,14],[3,4,5,6,9,11,12],[3,4,5,7,8,13,14],[3,4,6,7,12,13,14],[3,5,7,9,10,11,13],[3,5,8,9,10,12,14],[4,5,6,8,10,11,12]]; G[1715]:=Group([(1,2,3)(5,11,8)(6,12,10)(7,13,9)]); # Design 1716: autom. group order 3, simple, residual B[1716]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,5,9,12,13,14],[1,3,6,7,8,13,14],[1,3,6,8,10,12,13],[1,4,5,7,10,11,14],[1,4,7,8,9,11,12],[1,4,7,10,12,13,14],[1,5,6,7,9,11,13],[1,6,8,9,10,11,14],[2,3,6,7,10,11,12],[2,3,7,9,10,11,14],[2,4,5,7,8,10,13],[2,4,6,8,11,13,14],[2,4,6,9,10,13,14],[2,5,6,7,8,12,14],[2,7,8,9,11,12,13],[3,4,5,6,9,11,13],[3,4,5,8,9,12,14],[3,4,6,7,9,12,14],[3,5,7,8,9,10,13],[3,5,10,11,12,13,14],[4,5,6,8,10,11,12]]; G[1716]:=Group([(1,2,3)(5,11,8)(6,12,10)(7,13,9)]); # Design 1717: autom. group order 3, simple, residual B[1717]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,5,9,12,13,14],[1,3,6,7,8,13,14],[1,3,6,8,10,12,13],[1,4,5,7,10,11,13],[1,4,7,8,11,12,14],[1,4,7,9,10,12,14],[1,5,6,7,9,11,13],[1,6,8,9,10,11,14],[2,3,6,7,10,11,12],[2,3,7,9,10,11,14],[2,4,5,8,10,13,14],[2,4,6,7,10,13,14],[2,4,6,8,9,11,13],[2,5,6,7,8,12,14],[2,7,8,9,11,12,13],[3,4,5,6,9,11,14],[3,4,5,7,8,9,12],[3,4,6,9,12,13,14],[3,5,7,8,9,10,13],[3,5,10,11,12,13,14],[4,5,6,8,10,11,12]]; G[1717]:=Group([(1,2,3)(5,11,8)(6,12,10)(7,13,9)]); # Design 1718: autom. group order 3, simple, residual B[1718]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,5,9,12,13,14],[1,3,6,7,8,12,14],[1,3,7,8,10,12,13],[1,4,5,10,11,13,14],[1,4,6,7,9,10,14],[1,4,6,8,9,11,12],[1,5,6,7,10,11,13],[1,7,8,9,11,13,14],[2,3,6,7,9,11,13],[2,3,7,9,10,11,14],[2,4,5,7,8,9,13],[2,4,6,7,12,13,14],[2,4,6,8,10,11,14],[2,5,7,8,10,12,14],[2,6,8,10,11,12,13],[3,4,5,6,8,13,14],[3,4,5,7,10,11,12],[3,4,9,10,12,13,14],[3,5,6,8,9,10,13],[3,5,6,9,11,12,14],[4,5,7,8,9,11,12]]; G[1718]:=Group([(1,2,3)(5,11,8)(6,13,10)(7,12,9)]); # Design 1719: autom. group order 3, simple, residual B[1719]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,5,9,10,12,14],[1,3,6,7,8,10,12],[1,3,7,8,12,13,14],[1,4,5,10,11,13,14],[1,4,6,7,9,10,14],[1,4,6,8,9,11,12],[1,5,6,7,10,11,13],[1,7,8,9,11,13,14],[2,3,6,7,9,11,14],[2,3,7,9,10,11,13],[2,4,5,7,8,9,13],[2,4,6,7,12,13,14],[2,4,6,8,10,11,14],[2,5,7,8,10,12,14],[2,6,8,10,11,12,13],[3,4,5,6,8,13,14],[3,4,5,7,10,11,12],[3,4,9,10,12,13,14],[3,5,6,8,9,10,13],[3,5,6,9,11,12,14],[4,5,7,8,9,11,12]]; G[1719]:=Group([(1,2,3)(5,11,8)(6,13,10)(7,12,9)]); # Design 1720: autom. group order 3, simple, residual B[1720]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,6,7,10,13,14],[1,3,7,9,11,12,14],[1,4,5,7,8,9,13],[1,4,6,7,8,11,14],[1,4,6,10,12,13,14],[1,5,6,9,10,11,12],[1,7,8,9,10,11,13],[2,3,6,7,8,12,13],[2,3,9,10,11,13,14],[2,4,5,7,10,11,14],[2,4,6,8,9,10,14],[2,4,7,9,12,13,14],[2,5,6,7,9,11,13],[2,6,7,8,10,11,12],[3,4,5,6,10,11,13],[3,4,5,7,9,10,12],[3,4,6,8,9,11,12],[3,5,6,8,9,13,14],[3,5,7,8,10,12,14],[4,5,8,11,12,13,14]]; G[1720]:=Group([(1,8,12)(2,5,13)(3,14,4)(6,9,7)]); # Design 1721: autom. group order 3, simple, residual B[1721]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,10,11,13],[1,3,6,7,9,10,14],[1,3,7,8,11,12,14],[1,4,5,7,9,12,13],[1,4,6,7,8,13,14],[1,4,6,10,11,13,14],[1,5,7,9,10,12,13],[1,6,8,9,10,11,12],[2,3,6,7,9,11,13],[2,3,7,10,12,13,14],[2,4,5,7,10,11,14],[2,4,6,9,10,12,14],[2,4,8,9,12,13,14],[2,5,6,7,8,10,12],[2,6,7,8,9,11,13],[3,4,5,6,8,10,13],[3,4,5,6,9,11,12],[3,4,7,8,10,11,12],[3,5,6,8,12,13,14],[3,5,9,10,11,13,14],[4,5,7,8,9,11,14]]; G[1721]:=Group([(1,5,12)(2,6,11)(7,9,13)]); # Design 1722: autom. group order 3, simple, residual B[1722]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,5,9,10,12,14],[1,3,6,7,8,10,12],[1,3,7,8,12,13,14],[1,4,5,7,9,11,13],[1,4,6,7,9,10,14],[1,4,6,8,11,13,14],[1,5,7,10,11,12,14],[1,6,8,9,10,11,13],[2,3,6,7,9,11,14],[2,3,7,9,10,11,13],[2,4,5,8,10,13,14],[2,4,6,7,12,13,14],[2,4,7,8,10,11,12],[2,5,6,7,8,10,13],[2,6,8,9,11,12,14],[3,4,5,6,8,9,12],[3,4,5,6,10,11,14],[3,4,9,10,12,13,14],[3,5,6,10,11,12,13],[3,5,7,8,9,13,14],[4,5,7,8,9,11,12]]; G[1722]:=Group([(1,2,3)(5,11,8)(6,13,10)(7,12,9)]); # Design 1723: autom. group order 3, simple, residual B[1723]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,9,12,14],[1,3,6,9,10,12,13],[1,4,5,7,10,12,13],[1,4,7,8,9,13,14],[1,4,7,10,11,12,14],[1,5,6,9,10,11,13],[1,6,7,8,11,13,14],[2,3,7,8,10,11,13],[2,3,7,9,10,13,14],[2,4,6,7,9,11,12],[2,4,6,8,10,12,14],[2,4,6,9,11,13,14],[2,5,6,10,12,13,14],[2,5,7,8,9,12,13],[3,4,5,6,8,11,13],[3,4,5,8,12,13,14],[3,4,5,9,10,11,14],[3,5,7,9,11,12,14],[3,6,7,8,10,11,12],[4,5,6,7,8,9,10]]; G[1723]:=Group([(1,2,3)(5,7,6)(8,10,9)(11,13,12)]); # Design 1724: autom. group order 3, simple, residual B[1724]:=[[1,2,3,4,5,6,7],[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],[1,3,6,8,9,12,14],[1,3,6,9,10,12,13],[1,4,5,7,10,12,13],[1,4,7,8,10,12,14],[1,4,7,9,11,13,14],[1,5,6,9,10,11,13],[1,6,7,8,11,13,14],[2,3,7,8,10,11,13],[2,3,7,9,10,13,14],[2,4,6,7,9,11,12],[2,4,6,8,12,13,14],[2,4,6,9,10,11,14],[2,5,6,10,12,13,14],[2,5,7,8,9,12,13],[3,4,5,6,8,11,13],[3,4,5,8,9,13,14],[3,4,5,10,11,12,14],[3,5,7,9,11,12,14],[3,6,7,8,10,11,12],[4,5,6,7,8,9,10]]; G[1724]:=Group([(1,2,3)(5,7,6)(8,10,9)(11,13,12)]); # Design 1725: autom. group order 3, simple, residual B[1725]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,10,12,13],[1,3,6,8,9,11,12],[1,3,6,9,10,13,14],[1,4,5,7,9,11,13],[1,4,7,8,10,13,14],[1,4,7,10,11,12,14],[1,5,6,10,11,12,14],[1,6,7,8,9,12,13],[2,3,7,8,10,12,14],[2,3,7,9,10,11,13],[2,4,6,7,8,11,12],[2,4,6,9,10,11,14],[2,4,6,9,12,13,14],[2,5,6,8,10,11,13],[2,5,7,9,12,13,14],[3,4,5,6,10,12,13],[3,4,5,8,9,12,14],[3,4,5,8,11,13,14],[3,5,7,9,10,11,12],[3,6,7,8,11,13,14],[4,5,6,7,8,9,10]]; G[1725]:=Group([(1,2,3)(5,7,6)(8,10,9)(11,12,13)]); # Design 1726: autom. group order 3, simple, residual B[1726]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,10,11,12],[1,3,6,8,9,11,13],[1,3,6,9,10,13,14],[1,4,5,7,9,12,13],[1,4,7,8,9,12,14],[1,4,7,10,11,13,14],[1,5,6,8,10,12,13],[1,6,7,10,11,12,14],[2,3,7,8,10,12,14],[2,3,7,9,10,12,13],[2,4,6,7,8,11,13],[2,4,6,8,10,13,14],[2,4,6,9,11,12,14],[2,5,6,9,12,13,14],[2,5,7,9,10,11,13],[3,4,5,6,10,11,12],[3,4,5,8,12,13,14],[3,4,5,9,10,11,14],[3,5,7,8,11,13,14],[3,6,7,8,9,11,12],[4,5,6,7,8,9,10]]; G[1726]:=Group([(1,2,3)(5,7,6)(8,10,9)(11,12,13)]); # Design 1727: autom. group order 3, simple, residual B[1727]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,10,11,12],[1,3,6,8,9,11,13],[1,3,6,9,10,13,14],[1,4,5,7,9,12,13],[1,4,7,8,10,13,14],[1,4,7,9,11,12,14],[1,5,6,8,10,12,13],[1,6,7,10,11,12,14],[2,3,7,8,10,12,14],[2,3,7,9,10,12,13],[2,4,6,7,8,11,13],[2,4,6,8,12,13,14],[2,4,6,9,10,11,14],[2,5,6,9,12,13,14],[2,5,7,9,10,11,13],[3,4,5,6,10,11,12],[3,4,5,8,9,12,14],[3,4,5,10,11,13,14],[3,5,7,8,11,13,14],[3,6,7,8,9,11,12],[4,5,6,7,8,9,10]]; G[1727]:=Group([(1,2,3)(5,7,6)(8,10,9)(11,12,13)]); # Design 1728: autom. group order 3, simple, residual B[1728]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,10,11,13],[1,4,5,7,10,12,13],[1,4,7,8,9,12,14],[1,4,7,8,11,13,14],[1,5,6,10,12,13,14],[1,6,7,9,10,11,12],[2,3,7,8,10,12,13],[2,3,7,9,10,12,14],[2,4,6,7,9,11,13],[2,4,6,8,10,13,14],[2,4,6,10,11,12,14],[2,5,6,8,9,12,13],[2,5,7,9,11,13,14],[3,4,5,6,8,11,12],[3,4,5,9,10,11,14],[3,4,5,9,12,13,14],[3,5,7,8,10,11,13],[3,6,7,8,11,12,14],[4,5,6,7,8,9,10]]; G[1728]:=Group([(1,2,3)(5,7,6)(8,10,9)(11,12,13)]); # Design 1729: autom. group order 3, simple, residual B[1729]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,10,12,13],[1,3,6,8,9,11,12],[1,3,6,9,10,13,14],[1,4,5,7,10,11,13],[1,4,7,8,9,12,14],[1,4,7,8,11,13,14],[1,5,6,10,11,12,14],[1,6,7,9,10,12,13],[2,3,7,8,10,12,14],[2,3,7,9,10,11,13],[2,4,6,7,9,11,12],[2,4,6,8,10,13,14],[2,4,6,10,11,12,14],[2,5,6,8,9,11,13],[2,5,7,9,12,13,14],[3,4,5,6,8,12,13],[3,4,5,9,10,11,14],[3,4,5,9,12,13,14],[3,5,7,8,10,11,12],[3,6,7,8,11,13,14],[4,5,6,7,8,9,10]]; G[1729]:=Group([(1,2,3)(5,7,6)(8,10,9)(11,12,13)]); # Design 1730: autom. group order 3, simple, residual B[1730]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,10,13,14],[1,3,6,8,9,11,14],[1,3,6,9,10,12,13],[1,4,5,7,10,12,13],[1,4,7,8,9,13,14],[1,4,7,8,11,12,14],[1,5,6,10,11,12,14],[1,6,7,9,10,11,13],[2,3,7,8,10,11,13],[2,3,7,9,10,12,14],[2,4,6,7,9,11,12],[2,4,6,8,10,12,14],[2,4,6,10,11,13,14],[2,5,6,8,9,12,13],[2,5,7,9,11,13,14],[3,4,5,6,8,11,13],[3,4,5,9,10,11,14],[3,4,5,9,12,13,14],[3,5,7,8,10,11,12],[3,6,7,8,12,13,14],[4,5,6,7,8,9,10]]; G[1730]:=Group([(1,2,3)(5,7,6)(8,10,9)(11,13,12)]); # Design 1731: autom. group order 3, simple, residual B[1731]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,10,11,12],[1,3,6,8,9,12,13],[1,3,6,9,10,12,14],[1,4,5,7,8,12,13],[1,4,7,9,10,12,14],[1,4,7,9,11,13,14],[1,5,6,10,11,13,14],[1,6,7,8,10,11,13],[2,3,7,8,10,13,14],[2,3,7,9,10,11,13],[2,4,6,7,10,11,12],[2,4,6,8,9,11,14],[2,4,6,8,12,13,14],[2,5,6,9,10,12,13],[2,5,7,9,12,13,14],[3,4,5,6,9,11,13],[3,4,5,8,10,13,14],[3,4,5,10,11,12,14],[3,5,7,8,9,11,12],[3,6,7,8,11,12,14],[4,5,6,7,8,9,10]]; G[1731]:=Group([(1,2,3)(5,7,6)(8,10,9)(11,13,12)]); # Design 1732: autom. group order 3, simple, residual B[1732]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,10,12,13],[1,3,6,8,9,11,12],[1,3,6,9,10,13,14],[1,4,5,7,8,11,13],[1,4,7,9,10,11,14],[1,4,7,9,12,13,14],[1,5,6,10,11,12,14],[1,6,7,8,10,12,13],[2,3,7,8,10,12,14],[2,3,7,9,10,11,13],[2,4,6,7,10,11,12],[2,4,6,8,9,12,14],[2,4,6,8,11,13,14],[2,5,6,9,10,11,13],[2,5,7,9,12,13,14],[3,4,5,6,9,12,13],[3,4,5,8,10,13,14],[3,4,5,10,11,12,14],[3,5,7,8,9,11,12],[3,6,7,8,11,13,14],[4,5,6,7,8,9,10]]; G[1732]:=Group([(1,2,3)(5,7,6)(8,10,9)(11,12,13)]); # Design 1733: autom. group order 3, simple, residual B[1733]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,6,7,9,10,13],[1,3,7,9,11,12,13],[1,4,5,6,9,13,14],[1,4,6,7,8,10,12],[1,4,8,10,11,13,14],[1,5,6,7,10,11,14],[1,7,8,9,11,12,14],[2,3,6,7,8,9,14],[2,3,6,10,11,13,14],[2,4,6,7,11,12,14],[2,4,6,9,10,11,12],[2,4,7,8,9,13,14],[2,5,7,8,10,12,13],[2,5,7,9,10,11,13],[3,4,5,7,8,10,11],[3,4,5,7,12,13,14],[3,4,5,9,10,12,14],[3,5,6,8,9,11,12],[3,6,8,10,12,13,14],[4,5,6,8,9,11,13]]; G[1733]:=Group([(2,6,14)(3,7,11)(4,10,8)(9,12,13)]); # Design 1734: autom. group order 3, simple B[1734]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,6,10,12,13,14],[1,3,7,8,9,13,14],[1,4,5,9,10,11,13],[1,4,6,7,8,11,13],[1,4,6,7,9,10,12],[1,5,6,7,11,12,14],[1,8,9,10,11,12,14],[2,3,6,7,9,10,14],[2,3,6,10,11,12,13],[2,4,6,8,10,11,14],[2,4,7,8,12,13,14],[2,4,7,9,11,12,14],[2,5,6,8,9,12,13],[2,5,7,9,10,11,13],[3,4,5,6,9,11,14],[3,4,5,7,8,10,12],[3,4,5,9,12,13,14],[3,5,7,8,10,11,12],[3,6,7,8,9,11,13],[4,5,6,8,10,13,14]]; G[1734]:=Group([(2,6,9)(3,7,10)(5,12,8)]); # Design 1735: autom. group order 3, simple, residual B[1735]:=[[1,2,3,4,5,6,7],[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],[1,2,7,10,11,12,14],[1,3,5,7,10,11,13],[1,3,7,8,9,12,13],[1,4,5,7,10,13,14],[1,4,5,8,9,12,14],[1,4,6,9,11,13,14],[1,6,7,8,9,10,11],[1,6,8,10,12,13,14],[2,3,6,10,12,13,14],[2,3,7,8,9,13,14],[2,4,5,9,10,12,13],[2,4,6,7,8,11,13],[2,4,6,7,9,10,14],[2,5,7,8,11,12,14],[2,5,8,9,10,11,13],[3,4,5,8,10,11,14],[3,4,6,8,10,11,12],[3,4,7,9,11,12,14],[3,5,6,7,9,10,12],[3,5,6,9,11,13,14],[4,5,6,7,8,12,13]]; G[1735]:=Group([(1,4,12)(2,3,11)(5,8,14)(6,10,7)]); # Design 1736: autom. group order 3, simple B[1736]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,10,12,13],[1,3,6,9,10,12,14],[1,4,5,8,9,10,13],[1,4,5,8,11,13,14],[1,4,6,7,9,12,14],[1,6,7,8,9,11,13],[1,7,8,10,11,12,14],[2,3,7,9,10,11,13],[2,3,8,9,12,13,14],[2,4,5,10,11,12,14],[2,4,6,7,10,13,14],[2,4,6,8,9,11,12],[2,5,6,7,8,12,13],[2,5,7,8,9,10,14],[3,4,5,7,9,11,14],[3,4,6,7,8,10,11],[3,4,7,8,12,13,14],[3,5,6,8,10,11,12],[3,5,6,9,11,13,14],[4,5,6,9,10,12,13]]; G[1736]:=Group([(1,5,9)(2,11,12)(3,14,6)(8,13,10)]); # Design 1737: autom. group order 3, simple, residual B[1737]:=[[1,2,3,4,5,6,7],[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],[1,3,5,10,12,13,14],[1,3,6,7,10,11,12],[1,4,5,7,9,10,13],[1,4,5,8,9,11,14],[1,4,6,8,10,12,14],[1,6,7,8,9,10,13],[1,7,8,11,12,13,14],[2,3,7,9,10,13,14],[2,3,8,9,10,11,12],[2,4,5,7,8,12,13],[2,4,6,7,10,11,14],[2,4,6,9,12,13,14],[2,5,6,8,10,12,13],[2,5,7,8,10,11,14],[3,4,5,10,11,13,14],[3,4,6,7,8,11,13],[3,4,7,8,9,12,14],[3,5,6,7,9,12,14],[3,5,6,8,9,11,13],[4,5,6,9,10,11,12]]; G[1737]:=Group([(1,11,12)(2,3,13)(5,6,8)(9,10,14)]); # Design 1738: autom. group order 3, simple, residual B[1738]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,11,12,14],[1,4,5,7,8,10,11],[1,4,5,7,9,13,14],[1,4,6,8,10,12,14],[1,6,7,8,9,10,13],[1,7,8,11,12,13,14],[2,3,7,8,10,11,12],[2,3,7,9,10,13,14],[2,4,5,8,12,13,14],[2,4,6,7,9,11,14],[2,4,6,7,10,12,13],[2,5,6,8,9,12,13],[2,5,8,9,10,11,14],[3,4,5,10,11,13,14],[3,4,6,8,9,11,13],[3,4,7,8,9,12,14],[3,5,6,7,8,11,13],[3,5,6,7,10,12,14],[4,5,6,9,10,11,12]]; G[1738]:=Group([(1,11,12)(2,3,13)(5,6,8)(7,9,14)]); # Design 1739: autom. group order 3, simple, residual B[1739]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,10,12,13],[1,3,6,10,11,13,14],[1,4,5,7,9,12,14],[1,4,5,8,10,13,14],[1,4,7,8,10,11,12],[1,6,7,8,9,13,14],[1,6,8,9,10,11,12],[2,3,7,8,11,12,14],[2,3,9,10,12,13,14],[2,4,5,6,9,10,11],[2,4,6,7,8,12,13],[2,4,7,9,10,13,14],[2,5,6,8,10,12,13],[2,5,7,8,10,11,14],[3,4,5,8,9,11,13],[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],[4,5,6,11,12,13,14]]; G[1739]:=Group([(1,2,10)(3,9,8)(5,13,11)(6,14,12)]); # Design 1740: autom. group order 3, simple, residual B[1740]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,10,11,12],[1,3,7,8,10,13,14],[1,4,5,6,9,12,13],[1,4,5,10,11,13,14],[1,4,7,8,10,12,14],[1,6,7,8,9,11,12],[1,6,7,9,11,13,14],[2,3,6,9,10,12,14],[2,3,7,8,9,11,13],[2,4,5,8,9,13,14],[2,4,6,7,10,11,13],[2,4,6,8,11,12,14],[2,5,7,9,10,12,13],[2,5,7,10,11,12,14],[3,4,5,7,8,11,12],[3,4,6,9,10,11,14],[3,4,7,9,12,13,14],[3,5,6,8,10,11,13],[3,5,6,8,12,13,14],[4,5,6,7,8,9,10]]; G[1740]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,12,13)]); # Design 1741: autom. group order 3, simple, residual B[1741]:=[[1,2,3,4,5,6,7],[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],[1,3,5,10,12,13,14],[1,3,7,8,10,11,13],[1,4,5,6,8,9,12],[1,4,5,9,10,13,14],[1,4,7,9,11,13,14],[1,6,7,8,10,12,14],[1,6,7,9,10,11,12],[2,3,6,9,10,12,13],[2,3,7,9,11,12,14],[2,4,5,10,11,12,14],[2,4,6,7,9,10,13],[2,4,6,8,10,11,14],[2,5,7,8,9,13,14],[2,5,7,8,10,12,13],[3,4,5,7,8,10,11],[3,4,6,8,12,13,14],[3,4,7,8,9,12,14],[3,5,6,8,9,11,13],[3,5,6,9,10,11,14],[4,5,6,7,11,12,13]]; G[1741]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,12,13)]); # Design 1742: autom. group order 3, simple, residual B[1742]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,13,14],[1,3,5,9,10,11,14],[1,3,7,8,10,12,13],[1,4,5,6,8,11,13],[1,4,5,9,12,13,14],[1,4,7,9,10,13,14],[1,6,7,8,9,11,12],[1,6,7,10,11,12,14],[2,3,6,9,10,11,13],[2,3,7,8,9,12,14],[2,4,5,8,10,12,14],[2,4,6,7,9,12,13],[2,4,6,10,11,12,14],[2,5,7,8,11,13,14],[2,5,7,9,10,11,13],[3,4,5,7,10,11,12],[3,4,6,8,9,11,14],[3,4,7,8,11,13,14],[3,5,6,8,10,12,13],[3,5,6,9,12,13,14],[4,5,6,7,8,9,10]]; G[1742]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,13,12)]); # Design 1743: autom. group order 3, simple, residual B[1743]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,10,11,12],[1,3,7,8,10,13,14],[1,4,5,6,8,11,13],[1,4,5,9,12,13,14],[1,4,7,9,10,11,14],[1,6,7,8,10,11,12],[1,6,7,9,12,13,14],[2,3,6,9,10,12,14],[2,3,7,8,9,11,13],[2,4,5,8,10,12,14],[2,4,6,7,9,11,12],[2,4,6,10,11,13,14],[2,5,7,8,9,12,13],[2,5,7,10,11,13,14],[3,4,5,7,10,12,13],[3,4,6,8,9,13,14],[3,4,7,8,11,12,14],[3,5,6,8,11,12,14],[3,5,6,9,10,11,13],[4,5,6,7,8,9,10]]; G[1743]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,12,13)]); # Design 1744: autom. group order 3, simple, residual B[1744]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,13,14],[1,3,5,9,10,11,14],[1,3,7,8,10,12,13],[1,4,5,6,8,11,13],[1,4,5,9,12,13,14],[1,4,7,9,10,13,14],[1,6,7,8,10,11,12],[1,6,7,9,11,12,14],[2,3,6,9,10,11,13],[2,3,7,8,9,12,14],[2,4,5,8,10,12,14],[2,4,6,7,9,12,13],[2,4,6,10,11,12,14],[2,5,7,8,9,11,13],[2,5,7,10,11,13,14],[3,4,5,7,10,11,12],[3,4,6,8,9,11,14],[3,4,7,8,11,13,14],[3,5,6,8,12,13,14],[3,5,6,9,10,12,13],[4,5,6,7,8,9,10]]; G[1744]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,13,12)]); # Design 1745: autom. group order 3, simple, residual B[1745]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,11,12],[1,3,5,9,10,12,13],[1,3,7,8,10,12,14],[1,4,5,6,8,11,13],[1,4,5,9,12,13,14],[1,4,7,9,10,11,14],[1,6,7,8,12,13,14],[1,6,7,9,10,11,13],[2,3,6,9,10,13,14],[2,3,7,8,9,11,13],[2,4,5,8,10,13,14],[2,4,6,7,9,12,13],[2,4,6,10,11,12,14],[2,5,7,8,10,12,13],[2,5,7,9,11,12,14],[3,4,5,7,10,11,12],[3,4,6,8,9,12,14],[3,4,7,8,11,13,14],[3,5,6,8,9,11,12],[3,5,6,10,11,13,14],[4,5,6,7,8,9,10]]; G[1745]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,13,12)]); # Design 1746: autom. group order 3, simple, residual B[1746]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,10,12,14],[1,3,7,8,10,12,13],[1,4,5,6,8,12,13],[1,4,5,9,11,13,14],[1,4,7,9,10,11,14],[1,6,7,8,11,13,14],[1,6,7,9,10,12,13],[2,3,6,9,10,11,13],[2,3,7,8,9,13,14],[2,4,5,8,10,13,14],[2,4,6,7,9,11,12],[2,4,6,10,12,13,14],[2,5,7,8,10,11,12],[2,5,7,9,12,13,14],[3,4,5,7,10,11,13],[3,4,6,8,9,12,14],[3,4,7,8,11,12,14],[3,5,6,8,9,11,13],[3,5,6,10,11,12,14],[4,5,6,7,8,9,10]]; G[1746]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,13,12)]); # Design 1747: autom. group order 3, simple, residual B[1747]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,13,14],[1,3,5,9,10,11,14],[1,3,7,8,10,12,13],[1,4,5,6,8,11,13],[1,4,5,9,12,13,14],[1,4,7,9,10,13,14],[1,6,7,8,11,12,14],[1,6,7,9,10,11,12],[2,3,6,9,10,11,13],[2,3,7,8,9,12,14],[2,4,5,8,10,12,14],[2,4,6,7,9,12,13],[2,4,6,10,11,12,14],[2,5,7,8,10,11,13],[2,5,7,9,11,13,14],[3,4,5,7,10,11,12],[3,4,6,8,9,11,14],[3,4,7,8,11,13,14],[3,5,6,8,9,12,13],[3,5,6,10,12,13,14],[4,5,6,7,8,9,10]]; G[1747]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,13,12)]); # Design 1748: autom. group order 3, simple, residual B[1748]:=[[1,2,3,4,5,6,7],[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],[1,3,5,10,12,13,14],[1,3,7,8,10,11,13],[1,4,5,6,8,10,12],[1,4,5,9,11,13,14],[1,4,7,8,9,12,14],[1,6,7,9,10,11,12],[1,6,7,9,10,13,14],[2,3,6,9,10,12,13],[2,3,7,9,11,12,14],[2,4,5,9,10,13,14],[2,4,6,7,8,9,13],[2,4,6,10,11,12,14],[2,5,7,8,10,11,14],[2,5,7,8,10,12,13],[3,4,5,7,9,10,11],[3,4,6,8,10,11,14],[3,4,7,8,12,13,14],[3,5,6,8,9,11,13],[3,5,6,8,9,12,14],[4,5,6,7,11,12,13]]; G[1748]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,12,13)]); # Design 1749: autom. group order 3, simple, residual B[1749]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,11,12],[1,3,5,9,10,12,13],[1,3,7,8,10,12,14],[1,4,5,6,8,12,13],[1,4,5,9,10,11,14],[1,4,7,8,11,13,14],[1,6,7,9,10,11,13],[1,6,7,9,12,13,14],[2,3,6,9,10,13,14],[2,3,7,8,9,11,13],[2,4,5,9,12,13,14],[2,4,6,7,9,11,12],[2,4,6,8,10,13,14],[2,5,7,8,10,12,13],[2,5,7,10,11,12,14],[3,4,5,7,10,11,13],[3,4,6,10,11,12,14],[3,4,7,8,9,12,14],[3,5,6,8,9,11,12],[3,5,6,8,11,13,14],[4,5,6,7,8,9,10]]; G[1749]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,13,12)]); # Design 1750: autom. group order 3, simple, residual B[1750]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,13,14],[1,3,5,9,10,11,14],[1,3,7,8,10,12,13],[1,4,5,6,8,11,12],[1,4,5,9,10,13,14],[1,4,7,8,11,13,14],[1,6,7,9,10,11,12],[1,6,7,9,12,13,14],[2,3,6,9,10,11,13],[2,3,7,8,9,12,14],[2,4,5,9,12,13,14],[2,4,6,7,9,11,13],[2,4,6,8,10,12,14],[2,5,7,8,10,11,13],[2,5,7,10,11,12,14],[3,4,5,7,10,12,13],[3,4,6,10,11,12,14],[3,4,7,8,9,11,14],[3,5,6,8,9,12,13],[3,5,6,8,11,13,14],[4,5,6,7,8,9,10]]; G[1750]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,13,12)]); # Design 1751: autom. group order 3, simple, residual B[1751]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,11,12],[1,3,5,8,9,12,13],[1,3,7,9,10,12,14],[1,4,5,6,10,11,13],[1,4,5,10,12,13,14],[1,4,7,9,10,11,14],[1,6,7,8,9,12,13],[1,6,7,8,11,13,14],[2,3,6,8,10,13,14],[2,3,7,9,10,11,13],[2,4,5,8,9,13,14],[2,4,6,7,9,12,13],[2,4,6,9,11,12,14],[2,5,7,8,10,11,12],[2,5,7,10,12,13,14],[3,4,5,7,8,11,12],[3,4,6,8,10,12,14],[3,4,7,8,11,13,14],[3,5,6,9,10,11,13],[3,5,6,9,11,12,14],[4,5,6,7,8,9,10]]; G[1751]:=Group([(1,2,3)(5,6,7)(8,10,9)(11,13,12)]); # Design 1752: autom. group order 3, simple, residual B[1752]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,9,13,14],[1,3,7,9,10,11,13],[1,4,5,6,10,11,13],[1,4,5,9,10,12,14],[1,4,7,8,11,12,14],[1,6,7,8,9,12,13],[1,6,7,10,12,13,14],[2,3,6,8,10,12,13],[2,3,7,9,10,12,14],[2,4,5,10,12,13,14],[2,4,6,7,9,11,12],[2,4,6,8,9,13,14],[2,5,7,8,10,11,13],[2,5,7,9,11,13,14],[3,4,5,7,8,12,13],[3,4,6,9,11,13,14],[3,4,7,8,10,11,14],[3,5,6,8,11,12,14],[3,5,6,9,10,11,12],[4,5,6,7,8,9,10]]; G[1752]:=Group([(1,2,3)(5,6,7)(8,10,9)(11,12,13)]); # Design 1753: autom. group order 3, simple, residual B[1753]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,11,12],[1,3,5,8,9,12,13],[1,3,7,9,10,12,14],[1,4,5,6,10,12,13],[1,4,5,9,10,11,14],[1,4,7,8,11,13,14],[1,6,7,8,9,12,13],[1,6,7,10,11,13,14],[2,3,6,8,10,13,14],[2,3,7,9,10,11,13],[2,4,5,10,12,13,14],[2,4,6,7,9,11,12],[2,4,6,8,9,13,14],[2,5,7,8,10,11,12],[2,5,7,9,12,13,14],[3,4,5,7,8,11,13],[3,4,6,9,11,12,14],[3,4,7,8,10,12,14],[3,5,6,8,11,12,14],[3,5,6,9,10,11,13],[4,5,6,7,8,9,10]]; G[1753]:=Group([(1,2,3)(5,6,7)(8,10,9)(11,13,12)]); # Design 1754: autom. group order 3, simple, residual B[1754]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,13,14],[1,3,5,8,9,11,14],[1,3,7,9,10,12,13],[1,4,5,6,10,11,12],[1,4,5,9,10,13,14],[1,4,7,8,11,13,14],[1,6,7,8,9,12,13],[1,6,7,10,11,12,14],[2,3,6,8,10,11,13],[2,3,7,9,10,12,14],[2,4,5,10,12,13,14],[2,4,6,7,9,11,13],[2,4,6,8,9,12,14],[2,5,7,8,10,11,12],[2,5,7,9,11,13,14],[3,4,5,7,8,12,13],[3,4,6,9,11,12,14],[3,4,7,8,10,11,14],[3,5,6,8,12,13,14],[3,5,6,9,10,11,13],[4,5,6,7,8,9,10]]; G[1754]:=Group([(1,2,3)(5,6,7)(8,10,9)(11,13,12)]); # Design 1755: autom. group order 3, simple, residual B[1755]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,9,13,14],[1,3,7,9,10,11,13],[1,4,5,6,10,11,13],[1,4,5,9,10,12,14],[1,4,7,8,11,12,14],[1,6,7,8,12,13,14],[1,6,7,9,10,12,13],[2,3,6,8,10,12,13],[2,3,7,9,10,12,14],[2,4,5,10,12,13,14],[2,4,6,7,9,11,12],[2,4,6,8,9,13,14],[2,5,7,8,9,11,13],[2,5,7,10,11,13,14],[3,4,5,7,8,12,13],[3,4,6,9,11,13,14],[3,4,7,8,10,11,14],[3,5,6,8,10,11,12],[3,5,6,9,11,12,14],[4,5,6,7,8,9,10]]; G[1755]:=Group([(1,2,3)(5,6,7)(8,10,9)(11,12,13)]); # Design 1756: autom. group order 3, simple, residual B[1756]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,11,12],[1,3,5,8,9,11,13],[1,3,7,9,10,13,14],[1,4,5,6,10,12,13],[1,4,5,9,10,12,14],[1,4,7,8,12,13,14],[1,6,7,8,10,11,13],[1,6,7,9,11,12,14],[2,3,6,8,10,12,14],[2,3,7,9,10,12,13],[2,4,5,10,11,13,14],[2,4,6,7,9,11,13],[2,4,6,8,9,13,14],[2,5,7,8,12,13,14],[2,5,7,9,10,11,12],[3,4,5,7,8,11,12],[3,4,6,9,11,12,14],[3,4,7,8,10,11,14],[3,5,6,8,9,12,13],[3,5,6,10,11,13,14],[4,5,6,7,8,9,10]]; G[1756]:=Group([(1,2,3)(5,6,7)(8,10,9)(11,12,13)]); # Design 1757: autom. group order 3, simple, residual B[1757]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,9,11,12],[1,3,5,8,10,12,13],[1,3,7,8,10,12,14],[1,4,5,6,10,11,13],[1,4,5,9,12,13,14],[1,4,7,9,10,11,14],[1,6,7,8,11,13,14],[1,6,7,9,10,12,13],[2,3,6,9,10,13,14],[2,3,7,9,10,11,13],[2,4,5,8,10,13,14],[2,4,6,7,8,12,13],[2,4,6,10,11,12,14],[2,5,7,8,10,11,12],[2,5,7,9,12,13,14],[3,4,5,7,9,11,12],[3,4,6,8,9,12,14],[3,4,7,8,11,13,14],[3,5,6,8,9,11,13],[3,5,6,10,11,12,14],[4,5,6,7,8,9,10]]; G[1757]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,13,12)]); # Design 1758: autom. group order 3, simple, residual B[1758]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,9,12,13],[1,3,5,8,10,11,12],[1,3,7,8,10,13,14],[1,4,5,6,10,12,13],[1,4,5,9,11,13,14],[1,4,7,9,10,12,14],[1,6,7,8,11,12,14],[1,6,7,9,10,11,13],[2,3,6,9,10,12,14],[2,3,7,9,10,11,13],[2,4,5,8,10,13,14],[2,4,6,7,8,11,13],[2,4,6,10,11,12,14],[2,5,7,8,10,11,12],[2,5,7,9,12,13,14],[3,4,5,7,9,11,12],[3,4,6,8,9,11,14],[3,4,7,8,12,13,14],[3,5,6,8,9,12,13],[3,5,6,10,11,13,14],[4,5,6,7,8,9,10]]; G[1758]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,12,13)]); # Design 1759: autom. group order 3, simple, residual B[1759]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,9,11,14],[1,3,5,8,10,12,14],[1,3,7,8,10,12,13],[1,4,5,6,10,11,13],[1,4,5,9,10,13,14],[1,4,7,8,11,13,14],[1,6,7,9,10,11,12],[1,6,7,9,12,13,14],[2,3,6,9,10,11,13],[2,3,7,9,10,13,14],[2,4,5,9,12,13,14],[2,4,6,7,8,12,13],[2,4,6,8,10,12,14],[2,5,7,8,10,11,13],[2,5,7,10,11,12,14],[3,4,5,7,9,11,12],[3,4,6,10,11,12,14],[3,4,7,8,9,11,14],[3,5,6,8,9,12,13],[3,5,6,8,11,13,14],[4,5,6,7,8,9,10]]; G[1759]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,13,12)]); # Design 1760: autom. group order 3, simple, residual B[1760]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,9,12,13],[1,3,5,8,10,11,12],[1,3,7,8,10,13,14],[1,4,5,6,10,11,13],[1,4,5,9,10,12,14],[1,4,7,8,12,13,14],[1,6,7,9,10,11,13],[1,6,7,9,11,12,14],[2,3,6,9,10,12,14],[2,3,7,9,10,11,13],[2,4,5,9,11,13,14],[2,4,6,7,8,11,12],[2,4,6,8,10,13,14],[2,5,7,8,10,11,12],[2,5,7,10,12,13,14],[3,4,5,7,9,12,13],[3,4,6,10,11,12,14],[3,4,7,8,9,11,14],[3,5,6,8,9,12,13],[3,5,6,8,11,13,14],[4,5,6,7,8,9,10]]; G[1760]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,12,13)]); # Design 1761: autom. group order 3, simple, residual B[1761]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,9,10,11],[1,3,7,8,9,13,14],[1,4,5,6,10,13,14],[1,4,5,8,10,12,13],[1,4,7,9,12,13,14],[1,6,7,8,11,12,14],[1,6,8,9,10,11,13],[2,3,6,8,9,12,13],[2,3,7,10,12,13,14],[2,4,5,9,11,13,14],[2,4,6,7,8,11,13],[2,4,6,7,9,10,14],[2,5,7,8,10,11,13],[2,5,8,9,10,12,14],[3,4,5,8,11,12,14],[3,4,6,9,10,11,12],[3,4,7,8,10,11,14],[3,5,6,7,10,12,13],[3,5,6,9,11,13,14],[4,5,6,7,8,9,12]]; G[1761]:=Group([(1,11,13)(2,4,12)(5,14,7)(6,8,10)]); # Design 1762: autom. group order 3, simple B[1762]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,9,10,13],[1,3,7,11,12,13,14],[1,4,5,6,9,13,14],[1,4,5,7,10,11,12],[1,4,8,9,12,13,14],[1,6,7,8,9,10,12],[1,6,7,8,10,11,14],[2,3,6,9,10,11,12],[2,3,7,9,10,13,14],[2,4,5,7,10,12,14],[2,4,6,7,8,11,13],[2,4,6,7,9,12,14],[2,5,7,8,9,11,13],[2,5,8,10,12,13,14],[3,4,5,8,10,11,14],[3,4,6,8,10,12,13],[3,4,7,8,9,11,14],[3,5,6,7,8,12,13],[3,5,6,9,11,12,14],[4,5,6,9,10,11,13]]; G[1762]:=Group([(1,8,9)(2,4,10)(5,14,7)(6,11,13)]); # Design 1763: autom. group order 3, simple B[1763]:=[[1,2,3,4,5,6,7],[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],[1,2,6,9,10,12,14],[1,3,5,9,11,12,14],[1,3,7,8,10,13,14],[1,4,5,6,10,12,13],[1,4,5,7,8,11,13],[1,4,7,9,12,13,14],[1,6,7,8,9,11,12],[1,6,8,10,11,13,14],[2,3,6,7,11,13,14],[2,3,7,8,9,12,13],[2,4,5,8,11,12,14],[2,4,6,9,11,13,14],[2,4,7,8,10,12,14],[2,5,6,7,10,12,13],[2,5,8,9,10,11,13],[3,4,5,9,10,13,14],[3,4,6,7,9,10,11],[3,4,6,8,10,11,12],[3,5,6,8,9,12,13],[3,5,7,10,11,12,14],[4,5,6,7,8,9,14]]; G[1763]:=Group([(1,4,9)(2,3,10)(5,6,11)(12,13,14)]); # Design 1764: autom. group order 3, simple, residual B[1764]:=[[1,2,3,4,5,6,7],[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],[1,2,6,9,10,13,14],[1,3,5,7,9,11,14],[1,3,7,8,10,11,13],[1,4,5,6,10,12,13],[1,4,5,8,11,12,14],[1,4,7,8,9,13,14],[1,6,7,8,10,12,14],[1,6,7,9,11,12,13],[2,3,6,7,8,12,13],[2,3,7,10,11,12,14],[2,4,5,7,12,13,14],[2,4,6,7,9,11,14],[2,4,8,10,11,13,14],[2,5,6,8,9,11,13],[2,5,7,8,9,10,12],[3,4,5,7,9,10,13],[3,4,6,8,9,11,12],[3,4,6,9,10,12,14],[3,5,6,10,11,13,14],[3,5,8,9,12,13,14],[4,5,6,7,8,10,11]]; G[1764]:=Group([(1,4,10)(2,3,9)(5,6,12)(7,14,11)]); # Design 1765: autom. group order 3, simple, residual B[1765]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,9,13,14],[1,3,5,7,10,11,14],[1,3,8,9,11,12,13],[1,4,5,6,10,12,13],[1,4,5,7,9,13,14],[1,4,7,8,10,12,14],[1,6,7,8,10,11,13],[1,6,7,9,11,12,14],[2,3,6,7,10,11,13],[2,3,7,9,10,12,14],[2,4,5,7,8,11,12],[2,4,6,9,10,11,14],[2,4,7,8,11,13,14],[2,5,6,7,9,12,13],[2,5,8,10,12,13,14],[3,4,5,9,11,13,14],[3,4,6,7,8,9,12],[3,4,6,10,12,13,14],[3,5,6,8,11,12,14],[3,5,7,8,9,10,13],[4,5,6,8,9,10,11]]; G[1765]:=Group([(1,5,8)(2,3,14)(4,11,13)(7,12,9)]); # Design 1766: autom. group order 3, simple, residual B[1766]:=[[1,2,3,4,5,6,7],[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],[1,2,6,9,10,13,14],[1,3,5,7,9,11,14],[1,3,8,10,11,13,14],[1,4,5,6,10,12,13],[1,4,5,7,8,12,14],[1,4,7,8,9,11,13],[1,6,7,8,10,11,12],[1,6,7,9,12,13,14],[2,3,6,7,8,12,13],[2,3,7,10,11,12,14],[2,4,5,11,12,13,14],[2,4,6,7,9,11,14],[2,4,7,8,10,13,14],[2,5,6,8,9,11,13],[2,5,7,8,9,10,12],[3,4,5,7,9,10,13],[3,4,6,8,9,11,12],[3,4,6,9,10,12,14],[3,5,6,7,10,11,13],[3,5,8,9,12,13,14],[4,5,6,8,10,11,14]]; G[1766]:=Group([(1,4,10)(2,3,9)(5,6,12)(7,14,11)]); # Design 1767: autom. group order 3, simple, residual B[1767]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,10,11,12],[1,3,7,8,12,13,14],[1,4,5,7,9,10,13],[1,4,5,8,11,12,14],[1,4,6,8,10,13,14],[1,6,7,8,9,10,11],[1,6,9,11,12,13,14],[2,3,6,9,10,12,14],[2,3,7,10,11,13,14],[2,4,5,10,11,13,14],[2,4,6,8,9,11,13],[2,4,7,8,9,12,14],[2,5,6,8,10,11,12],[2,5,7,8,9,12,13],[3,4,5,6,9,12,13],[3,4,6,7,9,11,14],[3,4,7,8,10,11,12],[3,5,6,7,8,11,13],[3,5,8,9,10,13,14],[4,5,6,7,10,12,14]]; G[1767]:=Group([(1,9,11)(3,8,13)(5,7,14)(6,12,10)]); # Design 1768: autom. group order 3, simple B[1768]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,8,11,13],[1,3,5,7,9,11,14],[1,3,7,10,11,12,14],[1,4,5,7,9,12,13],[1,4,5,8,10,13,14],[1,4,6,10,12,13,14],[1,6,7,8,9,10,12],[1,6,8,9,11,13,14],[2,3,6,9,12,13,14],[2,3,7,8,10,12,13],[2,4,5,8,9,12,14],[2,4,7,8,10,11,14],[2,4,7,9,11,13,14],[2,5,6,7,9,10,13],[2,5,6,10,11,12,14],[3,4,5,6,10,11,13],[3,4,6,7,9,10,14],[3,4,6,8,9,11,12],[3,5,7,8,12,13,14],[3,5,8,9,10,11,13],[4,5,6,7,8,11,12]]; G[1768]:=Group([(1,3,13)(2,12,4)(5,8,14)(6,7,10)]); # Design 1769: autom. group order 3, simple, residual B[1769]:=[[1,2,3,4,5,6,7],[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],[1,3,5,10,11,13,14],[1,3,7,8,9,11,13],[1,4,5,6,7,10,12],[1,4,5,9,12,13,14],[1,4,6,8,10,13,14],[1,6,7,8,10,11,12],[1,6,8,9,11,12,14],[2,3,6,10,11,12,13],[2,3,7,8,10,12,14],[2,4,5,8,9,10,11],[2,4,6,7,11,13,14],[2,4,6,8,9,12,13],[2,5,6,9,10,11,14],[2,5,7,8,12,13,14],[3,4,5,8,11,12,14],[3,4,6,7,9,11,14],[3,4,7,9,10,12,14],[3,5,6,7,8,9,13],[3,5,6,9,10,12,13],[4,5,7,8,10,11,13]]; G[1769]:=Group([(1,13,14)(2,8,11)(3,7,6)(4,5,9)]); # Design 1770: autom. group order 3, simple, residual B[1770]:=[[1,2,3,4,5,6,7],[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],[1,2,7,10,11,12,14],[1,3,5,9,11,13,14],[1,3,7,8,10,13,14],[1,4,5,6,10,12,13],[1,4,5,7,9,10,14],[1,4,6,7,9,11,13],[1,6,7,8,10,11,12],[1,6,8,9,12,13,14],[2,3,6,10,11,13,14],[2,3,7,9,10,12,13],[2,4,5,7,12,13,14],[2,4,6,7,8,11,14],[2,4,6,8,9,10,13],[2,5,6,9,10,12,14],[2,5,7,8,9,11,13],[3,4,5,8,10,11,12],[3,4,6,9,11,12,14],[3,4,7,8,9,12,14],[3,5,6,7,8,12,13],[3,5,6,7,9,10,11],[4,5,8,10,11,13,14]]; G[1770]:=Group([(1,3,12)(2,4,11)(5,9,10)(6,14,7)]); # Design 1771: autom. group order 3, simple, residual B[1771]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,11,13,14],[1,3,5,10,11,13,14],[1,3,7,8,9,12,13],[1,4,5,6,9,10,13],[1,4,5,7,10,12,14],[1,4,6,7,8,9,11],[1,6,7,10,11,12,13],[1,6,8,9,10,12,14],[2,3,6,9,10,11,13],[2,3,7,9,10,12,14],[2,4,5,8,10,12,13],[2,4,6,7,10,11,14],[2,4,6,9,12,13,14],[2,5,6,7,8,12,13],[2,5,7,8,9,10,11],[3,4,5,7,9,11,12],[3,4,6,8,11,12,14],[3,4,7,8,10,13,14],[3,5,6,7,9,13,14],[3,5,6,8,10,11,12],[4,5,8,9,11,13,14]]; G[1771]:=Group([(1,11,13)(2,3,12)(5,6,8)(7,14,10)]); # Design 1772: autom. group order 3, simple, residual B[1772]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,6,9,10,11],[1,3,7,9,12,13,14],[1,4,5,7,10,11,13],[1,4,5,8,10,12,14],[1,4,6,9,10,13,14],[1,6,7,8,9,11,13],[1,7,8,10,11,12,14],[2,3,6,8,10,13,14],[2,3,7,10,11,12,13],[2,4,5,7,9,13,14],[2,4,6,7,8,11,14],[2,4,6,9,10,11,12],[2,5,7,9,10,11,14],[2,5,8,9,10,12,13],[3,4,5,7,8,9,12],[3,4,6,7,10,12,14],[3,4,8,9,11,13,14],[3,5,6,7,8,10,13],[3,5,6,9,11,12,14],[4,5,6,8,11,12,13]]; G[1772]:=Group([(1,5,13)(2,12,14)(3,8,9)(7,11,10)]); # Design 1773: autom. group order 3, simple, residual B[1773]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,6,8,10,13,14],[1,3,5,6,9,13,14],[1,3,7,8,10,11,12],[1,4,5,7,10,12,14],[1,4,5,10,11,13,14],[1,4,6,8,9,11,12],[1,6,7,9,10,11,13],[1,7,8,9,12,13,14],[2,3,6,7,10,12,14],[2,3,7,9,11,13,14],[2,4,5,9,10,12,13],[2,4,6,8,12,13,14],[2,4,7,9,10,11,14],[2,5,6,8,9,10,11],[2,5,7,8,11,12,13],[3,4,5,7,8,9,13],[3,4,6,7,8,10,13],[3,4,6,9,11,12,14],[3,5,6,10,11,12,13],[3,5,8,9,10,12,14],[4,5,6,7,8,11,14]]; G[1773]:=Group([(1,9,13)(3,10,12)(5,11,8)(6,7,14)]); # Design 1774: autom. group order 3, simple, residual B[1774]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,6,10,13,14],[1,3,7,8,9,12,14],[1,4,5,7,10,12,13],[1,4,5,9,11,12,14],[1,4,6,8,11,13,14],[1,6,7,9,10,11,14],[1,7,8,10,11,12,13],[2,3,6,9,11,12,13],[2,3,7,10,12,13,14],[2,4,5,7,8,10,11],[2,4,6,10,11,12,14],[2,4,7,8,9,13,14],[2,5,6,8,10,12,14],[2,5,7,9,11,13,14],[3,4,5,9,10,13,14],[3,4,6,7,8,12,14],[3,4,6,7,9,10,11],[3,5,6,7,8,11,13],[3,5,8,9,10,11,12],[4,5,6,8,9,12,13]]; G[1774]:=Group([(1,6,9)(2,7,10)(5,11,8)(12,14,13)]); # Design 1775: autom. group order 3, simple, residual B[1775]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,9,10,14],[1,3,5,6,10,11,13],[1,3,7,9,12,13,14],[1,4,5,7,9,12,13],[1,4,5,7,10,11,14],[1,4,6,8,12,13,14],[1,6,7,8,10,11,12],[1,8,9,10,11,13,14],[2,3,6,10,12,13,14],[2,3,7,8,9,11,13],[2,4,5,9,10,13,14],[2,4,6,9,10,11,12],[2,4,7,8,11,12,14],[2,5,6,7,8,13,14],[2,5,7,10,11,12,13],[3,4,5,8,10,12,14],[3,4,6,7,8,10,13],[3,4,6,7,9,11,14],[3,5,6,9,11,12,14],[3,5,7,8,9,10,12],[4,5,6,8,9,11,13]]; G[1775]:=Group([(1,10,11)(3,9,12)(5,14,7)(6,13,8)]); # Design 1776: autom. group order 3, simple, residual B[1776]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,8,11,13],[1,3,5,6,10,13,14],[1,3,7,9,10,11,14],[1,4,5,7,9,12,13],[1,4,5,8,10,11,13],[1,4,6,7,9,10,12],[1,6,7,8,10,12,14],[1,8,9,11,12,13,14],[2,3,6,8,10,12,13],[2,3,7,9,12,13,14],[2,4,5,7,8,12,14],[2,4,6,9,10,13,14],[2,4,7,10,11,13,14],[2,5,6,9,10,11,12],[2,5,7,8,9,10,11],[3,4,5,10,11,12,14],[3,4,6,7,8,11,14],[3,4,6,8,9,11,12],[3,5,6,7,9,11,13],[3,5,7,8,10,12,13],[4,5,6,8,9,13,14]]; G[1776]:=Group([(1,11,13)(2,4,12)(5,14,7)(6,10,9)]); # Design 1777: autom. group order 3, simple, residual B[1777]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,10,13,14],[1,3,5,6,10,11,13],[1,3,7,9,12,13,14],[1,4,5,7,9,12,13],[1,4,5,8,10,12,14],[1,4,6,7,9,11,14],[1,6,7,8,10,11,12],[1,8,9,10,11,13,14],[2,3,6,9,10,12,14],[2,3,7,8,9,11,13],[2,4,5,9,10,13,14],[2,4,6,7,8,10,13],[2,4,7,8,11,12,14],[2,5,6,11,12,13,14],[2,5,7,9,10,11,12],[3,4,5,7,10,11,14],[3,4,6,8,12,13,14],[3,4,6,9,10,11,12],[3,5,6,7,8,9,14],[3,5,7,8,10,12,13],[4,5,6,8,9,11,13]]; G[1777]:=Group([(1,2,3)(5,8,11)(6,9,13)(7,10,12)]); # Design 1778: autom. group order 3, simple, residual B[1778]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,6,10,12,13],[1,3,7,9,11,13,14],[1,4,5,7,8,9,13],[1,4,5,9,10,11,14],[1,4,6,7,10,12,14],[1,6,7,8,9,11,12],[1,8,10,11,12,13,14],[2,3,6,9,10,11,13],[2,3,7,8,10,12,14],[2,4,5,8,12,13,14],[2,4,6,8,9,11,12],[2,4,7,9,10,13,14],[2,5,6,7,11,13,14],[2,5,7,9,10,11,12],[3,4,5,7,10,11,12],[3,4,6,7,8,11,14],[3,4,6,9,12,13,14],[3,5,6,8,9,10,14],[3,5,7,8,9,12,13],[4,5,6,8,10,11,13]]; G[1778]:=Group([(1,2,3)(5,8,11)(6,10,13)(7,9,12)]); # Design 1779: autom. group order 3, simple, residual B[1779]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,10,13,14],[1,3,5,6,10,11,13],[1,3,7,9,12,13,14],[1,4,5,7,8,10,14],[1,4,5,9,10,12,13],[1,4,6,9,11,12,14],[1,6,7,8,9,11,14],[1,7,8,10,11,12,13],[2,3,6,9,10,12,14],[2,3,7,8,9,11,13],[2,4,5,7,9,13,14],[2,4,6,7,8,12,13],[2,4,8,10,11,12,14],[2,5,6,7,10,11,12],[2,5,9,10,11,13,14],[3,4,5,7,11,12,14],[3,4,6,7,9,10,11],[3,4,6,8,10,13,14],[3,5,6,8,12,13,14],[3,5,7,8,9,10,12],[4,5,6,8,9,11,13]]; G[1779]:=Group([(1,2,3)(5,8,11)(6,9,13)(7,10,12)]); # Design 1780: autom. group order 3, simple B[1780]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,6,7,10,13],[1,3,7,9,11,13,14],[1,4,5,7,10,11,12],[1,4,5,8,12,13,14],[1,4,6,9,10,12,14],[1,6,7,8,10,11,14],[1,7,8,9,11,12,13],[2,3,6,10,11,12,13],[2,3,7,8,10,12,14],[2,4,5,7,8,9,13],[2,4,6,7,8,11,14],[2,4,7,10,12,13,14],[2,5,6,7,9,11,12],[2,5,9,10,11,13,14],[3,4,5,9,10,11,14],[3,4,6,7,9,13,14],[3,4,6,8,9,11,12],[3,5,6,8,12,13,14],[3,5,7,8,9,10,12],[4,5,6,8,10,11,13]]; G[1780]:=Group([(1,2,3)(5,8,11)(6,10,13)(7,9,12)]); # Design 1781: autom. group order 3, simple, residual B[1781]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,10,12,13,14],[1,3,5,6,10,11,13],[1,3,7,9,10,13,14],[1,4,5,7,8,10,14],[1,4,5,9,12,13,14],[1,4,6,7,9,11,12],[1,6,7,8,11,13,14],[1,7,8,9,10,11,12],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,7,9,10,13],[2,4,6,7,8,13,14],[2,4,8,10,11,12,14],[2,5,6,9,10,11,14],[2,5,7,10,11,12,13],[3,4,5,7,11,12,14],[3,4,6,8,10,12,13],[3,4,6,9,10,11,14],[3,5,6,7,8,10,12],[3,5,8,9,12,13,14],[4,5,6,8,9,11,13]]; G[1781]:=Group([(1,2,3)(5,8,11)(6,9,13)(7,10,12)]); # Design 1782: autom. group order 3, simple B[1782]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,6,9,13,14],[1,3,7,9,11,12,13],[1,4,5,7,8,10,13],[1,4,5,9,10,11,14],[1,4,7,10,12,13,14],[1,6,7,8,11,12,14],[1,6,8,9,10,11,13],[2,3,7,8,9,10,12],[2,3,7,10,11,13,14],[2,4,5,8,12,13,14],[2,4,6,7,9,13,14],[2,4,6,8,9,11,13],[2,5,6,10,11,12,13],[2,5,7,9,10,11,14],[3,4,5,6,10,11,12],[3,4,6,7,8,11,14],[3,4,6,9,10,12,14],[3,5,6,7,8,10,13],[3,5,8,9,12,13,14],[4,5,7,8,9,11,12]]; G[1782]:=Group([(1,2,3)(5,8,11)(6,10,13)(7,9,12)]); # Design 1783: autom. group order 3, simple, residual B[1783]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,7,9,13,14],[1,3,6,7,10,11,13],[1,4,5,6,10,11,12],[1,4,5,7,8,12,13],[1,4,9,10,12,13,14],[1,6,8,9,11,13,14],[1,7,8,10,11,12,14],[2,3,6,8,12,13,14],[2,3,7,10,11,12,14],[2,4,5,9,10,11,14],[2,4,6,7,10,13,14],[2,4,7,8,9,11,13],[2,5,6,8,10,12,13],[2,5,7,9,11,12,13],[3,4,5,8,10,13,14],[3,4,6,7,9,12,14],[3,4,6,8,9,11,12],[3,5,6,9,10,11,13],[3,5,7,8,9,10,12],[4,5,6,7,8,11,14]]; G[1783]:=Group([(1,4,14)(2,6,11)(3,7,8)(9,12,10)]); # Design 1784: autom. group order 3, simple, residual B[1784]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,7,12,13,14],[1,3,6,7,9,10,11],[1,4,5,6,10,11,12],[1,4,5,7,8,10,13],[1,4,9,10,12,13,14],[1,6,8,9,11,13,14],[1,7,8,10,11,12,14],[2,3,6,8,10,12,14],[2,3,7,10,11,13,14],[2,4,5,9,10,11,14],[2,4,6,7,10,13,14],[2,4,7,8,9,11,12],[2,5,6,8,10,12,13],[2,5,7,9,11,12,13],[3,4,5,8,9,13,14],[3,4,6,7,9,12,14],[3,4,6,8,11,12,13],[3,5,6,9,10,11,13],[3,5,7,8,9,10,12],[4,5,6,7,8,11,14]]; G[1784]:=Group([(1,4,14)(2,6,11)(3,7,8)(9,12,10)]); # Design 1785: autom. group order 3, simple, residual B[1785]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,7,9,12,14],[1,3,6,7,9,11,13],[1,4,5,6,10,11,13],[1,4,5,7,8,10,12],[1,4,9,10,12,13,14],[1,6,8,10,11,12,14],[1,7,8,9,11,13,14],[2,3,6,8,10,13,14],[2,3,7,10,11,12,14],[2,4,5,9,11,13,14],[2,4,6,7,9,12,14],[2,4,7,8,9,10,11],[2,5,6,8,9,12,13],[2,5,7,10,11,12,13],[3,4,5,8,12,13,14],[3,4,6,7,10,13,14],[3,4,6,8,9,11,12],[3,5,6,9,10,11,12],[3,5,7,8,9,10,13],[4,5,6,7,8,11,14]]; G[1785]:=Group([(1,4,14)(2,6,11)(3,7,8)(9,10,13)]); # Design 1786: autom. group order 3, simple, residual B[1786]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,7,10,13,14],[1,3,6,7,9,11,13],[1,4,5,6,9,10,11],[1,4,5,7,8,12,13],[1,4,9,10,12,13,14],[1,6,8,10,11,13,14],[1,7,8,9,11,12,14],[2,3,6,8,12,13,14],[2,3,7,9,10,11,14],[2,4,5,10,11,12,14],[2,4,6,7,9,13,14],[2,4,7,8,10,11,13],[2,5,6,8,9,10,13],[2,5,7,9,11,12,13],[3,4,5,8,9,13,14],[3,4,6,7,10,12,14],[3,4,6,8,9,11,12],[3,5,6,10,11,12,13],[3,5,7,8,9,10,12],[4,5,6,7,8,11,14]]; G[1786]:=Group([(1,4,14)(2,6,11)(3,7,8)(9,10,12)]); # Design 1787: autom. group order 3, simple, residual B[1787]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,7,10,13,14],[1,3,6,7,9,10,11],[1,4,5,6,10,11,12],[1,4,5,7,8,9,13],[1,4,9,10,12,13,14],[1,6,8,9,11,13,14],[1,7,8,10,11,12,14],[2,3,6,8,10,12,14],[2,3,7,9,11,13,14],[2,4,5,9,10,11,14],[2,4,6,7,10,13,14],[2,4,7,8,9,11,12],[2,5,6,8,9,10,13],[2,5,7,10,11,12,13],[3,4,5,8,12,13,14],[3,4,6,7,9,12,14],[3,4,6,8,10,11,13],[3,5,6,9,11,12,13],[3,5,7,8,9,10,12],[4,5,6,7,8,11,14]]; G[1787]:=Group([(1,4,14)(2,6,11)(3,7,8)(9,12,10)]); # Design 1788: autom. group order 3, simple, residual B[1788]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,7,12,13,14],[1,3,6,7,9,10,11],[1,4,5,6,8,9,12],[1,4,5,7,10,11,13],[1,4,9,10,12,13,14],[1,6,8,9,11,13,14],[1,7,8,10,11,12,14],[2,3,6,10,11,12,14],[2,3,7,8,9,13,14],[2,4,5,9,11,13,14],[2,4,6,7,10,13,14],[2,4,7,8,9,11,12],[2,5,6,8,10,12,13],[2,5,7,9,10,11,12],[3,4,5,8,10,12,14],[3,4,6,7,9,12,14],[3,4,6,8,10,11,13],[3,5,6,9,11,12,13],[3,5,7,8,9,10,13],[4,5,6,7,8,11,14]]; G[1788]:=Group([(1,4,14)(2,7,8)(3,6,11)(9,13,12)]); # Design 1789: autom. group order 3, simple, residual B[1789]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,7,10,13,14],[1,3,6,7,9,10,11],[1,4,5,6,8,10,12],[1,4,5,7,9,11,13],[1,4,9,10,12,13,14],[1,6,8,9,11,13,14],[1,7,8,10,11,12,14],[2,3,6,10,11,12,14],[2,3,7,8,9,13,14],[2,4,5,9,10,11,14],[2,4,6,7,10,13,14],[2,4,7,8,9,11,12],[2,5,6,8,9,10,13],[2,5,7,10,11,12,13],[3,4,5,8,12,13,14],[3,4,6,7,9,12,14],[3,4,6,8,10,11,13],[3,5,6,9,11,12,13],[3,5,7,8,9,10,12],[4,5,6,7,8,11,14]]; G[1789]:=Group([(1,4,14)(2,7,8)(3,6,11)(9,13,12)]); # Design 1790: autom. group order 3, simple, residual B[1790]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,7,10,13,14],[1,3,6,7,9,11,13],[1,4,5,6,8,12,13],[1,4,5,7,9,10,11],[1,4,9,10,12,13,14],[1,6,8,10,11,13,14],[1,7,8,9,11,12,14],[2,3,6,9,10,11,14],[2,3,7,8,12,13,14],[2,4,5,10,11,12,14],[2,4,6,7,9,13,14],[2,4,7,8,10,11,13],[2,5,6,8,9,10,13],[2,5,7,9,11,12,13],[3,4,5,8,9,13,14],[3,4,6,7,10,12,14],[3,4,6,8,9,11,12],[3,5,6,10,11,12,13],[3,5,7,8,9,10,12],[4,5,6,7,8,11,14]]; G[1790]:=Group([(1,4,14)(2,7,8)(3,6,11)(10,13,12)]); # Design 1791: autom. group order 3, simple, residual B[1791]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,4,5,6,8,10,13],[1,4,5,7,9,11,12],[1,4,9,10,12,13,14],[1,6,8,9,11,13,14],[1,7,8,10,11,12,14],[2,3,6,9,10,11,14],[2,3,7,8,12,13,14],[2,4,5,10,11,12,14],[2,4,6,7,10,13,14],[2,4,7,8,9,11,13],[2,5,6,8,9,10,12],[2,5,7,9,10,11,13],[3,4,5,8,9,13,14],[3,4,6,7,9,12,14],[3,4,6,8,10,11,12],[3,5,6,9,11,12,13],[3,5,7,8,10,12,13],[4,5,6,7,8,11,14]]; G[1791]:=Group([(1,4,14)(2,7,8)(3,6,11)(9,13,12)]); # Design 1792: autom. group order 3, simple, residual B[1792]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,6,7,9,10,14],[1,3,5,9,10,11,12],[1,3,6,7,12,13,14],[1,4,5,6,9,10,13],[1,4,5,7,9,12,14],[1,4,7,8,10,11,14],[1,6,8,9,11,13,14],[1,7,8,10,11,12,13],[2,3,6,7,8,9,11],[2,3,9,10,12,13,14],[2,4,5,10,11,13,14],[2,4,6,8,10,12,14],[2,4,7,8,9,12,13],[2,5,6,7,10,11,13],[2,5,7,9,11,12,14],[3,4,5,7,8,13,14],[3,4,6,7,10,11,12],[3,4,6,9,11,13,14],[3,5,6,8,10,12,14],[3,5,7,8,9,10,13],[4,5,6,8,9,11,12]]; G[1792]:=Group([(1,2,3)(5,8,11)(6,9,12)(7,10,13)]); # Design 1793: autom. group order 3, simple, residual B[1793]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,8,9,12,13],[1,3,5,7,12,13,14],[1,3,6,10,11,13,14],[1,4,5,6,9,10,11],[1,4,5,7,8,10,13],[1,4,7,9,10,12,14],[1,6,7,8,10,11,12],[1,7,8,9,11,13,14],[2,3,6,7,8,10,13],[2,3,7,9,10,11,12],[2,4,5,7,9,11,13],[2,4,6,10,12,13,14],[2,4,7,8,11,12,14],[2,5,6,7,10,11,14],[2,5,8,9,10,13,14],[3,4,5,8,10,12,14],[3,4,6,7,9,13,14],[3,4,6,8,9,11,14],[3,5,6,7,8,9,12],[3,5,9,10,11,12,13],[4,5,6,8,11,12,13]]; G[1793]:=Group([(1,4,10)(2,14,11)(3,12,6)(5,8,7)]); # Design 1794: autom. group order 3, simple, residual B[1794]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,7,9,12,13],[1,3,6,7,11,13,14],[1,4,5,6,10,11,12],[1,4,5,8,12,13,14],[1,4,7,9,10,13,14],[1,6,8,9,10,11,13],[1,7,8,10,11,12,14],[2,3,7,9,10,11,12],[2,3,8,10,12,13,14],[2,4,5,7,8,10,13],[2,4,6,7,8,11,14],[2,4,6,9,12,13,14],[2,5,6,10,11,12,13],[2,5,7,9,11,13,14],[3,4,5,9,10,11,14],[3,4,6,7,10,12,14],[3,4,6,8,9,11,13],[3,5,6,7,8,10,13],[3,5,6,8,9,12,14],[4,5,7,8,9,11,12]]; G[1794]:=Group([(1,2,3)(5,8,11)(6,10,13)(7,9,12)]); # Design 1795: autom. group order 3, simple, residual B[1795]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,9,12,13,14],[1,3,6,7,9,11,13],[1,4,5,6,10,11,14],[1,4,5,7,8,9,13],[1,4,7,10,12,13,14],[1,6,8,10,11,12,13],[1,7,8,9,10,11,14],[2,3,7,8,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,10,13,14],[2,4,6,7,9,13,14],[2,4,6,8,9,11,12],[2,5,6,7,10,11,13],[2,5,9,11,12,13,14],[3,4,5,7,10,11,12],[3,4,6,8,11,13,14],[3,4,6,9,10,12,14],[3,5,6,7,8,12,14],[3,5,6,8,9,10,13],[4,5,7,8,9,11,12]]; G[1795]:=Group([(1,2,3)(5,8,11)(6,10,13)(7,9,12)]); # Design 1796: autom. group order 3, simple, residual B[1796]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,7,10,12,13],[1,3,6,9,12,13,14],[1,4,5,7,8,10,14],[1,4,5,9,11,12,14],[1,4,6,8,11,13,14],[1,6,7,9,10,11,14],[1,7,8,10,11,12,13],[2,3,6,10,11,12,14],[2,3,7,8,9,13,14],[2,4,5,6,10,11,13],[2,4,7,8,9,11,12],[2,4,7,10,12,13,14],[2,5,6,8,10,12,14],[2,5,7,9,11,13,14],[3,4,5,9,10,13,14],[3,4,6,7,8,12,14],[3,4,6,7,9,10,11],[3,5,6,7,8,11,13],[3,5,8,9,10,11,12],[4,5,6,8,9,12,13]]; G[1796]:=Group([(1,6,9)(2,7,10)(5,11,8)(12,14,13)]); # Design 1797: autom. group order 3, simple, residual B[1797]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,7,10,13,14],[1,3,6,7,9,11,13],[1,4,5,7,8,12,14],[1,4,5,9,10,11,13],[1,4,6,7,10,12,14],[1,6,7,8,9,11,12],[1,8,10,11,12,13,14],[2,3,6,10,11,12,14],[2,3,7,8,10,12,13],[2,4,5,6,8,12,13],[2,4,7,8,9,11,14],[2,4,7,9,10,13,14],[2,5,6,7,11,13,14],[2,5,7,9,10,11,12],[3,4,5,9,11,12,14],[3,4,6,7,8,10,11],[3,4,6,9,12,13,14],[3,5,6,8,9,10,14],[3,5,7,8,9,12,13],[4,5,6,8,10,11,13]]; G[1797]:=Group([(1,2,3)(5,8,11)(6,10,13)(7,9,12)]); # Design 1798: autom. group order 3, simple B[1798]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,6,8,12,13,14],[1,3,5,9,10,13,14],[1,3,6,7,9,11,13],[1,4,5,7,8,9,14],[1,4,5,10,11,12,13],[1,4,6,7,10,12,14],[1,6,7,8,9,11,12],[1,7,8,10,11,13,14],[2,3,6,7,10,11,14],[2,3,7,8,10,12,13],[2,4,5,6,7,8,13],[2,4,7,9,10,13,14],[2,4,8,9,11,12,14],[2,5,6,9,11,13,14],[2,5,7,9,10,11,12],[3,4,5,7,11,12,14],[3,4,6,8,9,10,11],[3,4,6,9,12,13,14],[3,5,6,8,10,12,14],[3,5,7,8,9,12,13],[4,5,6,8,10,11,13]]; G[1798]:=Group([(1,2,3)(5,8,11)(6,10,13)(7,9,12)]); # Design 1799: autom. group order 3, simple, residual B[1799]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,6,8,10,13,14],[1,3,5,7,10,12,14],[1,3,6,9,11,12,13],[1,4,5,7,8,9,13],[1,4,5,9,10,11,14],[1,4,6,10,12,13,14],[1,6,7,8,11,12,14],[1,7,8,9,10,11,13],[2,3,6,8,9,10,12],[2,3,7,9,11,13,14],[2,4,5,8,12,13,14],[2,4,6,7,9,13,14],[2,4,7,8,10,11,12],[2,5,6,9,10,11,14],[2,5,7,10,11,12,13],[3,4,5,6,10,11,13],[3,4,6,7,8,11,14],[3,4,7,9,10,12,14],[3,5,6,7,8,10,13],[3,5,8,9,12,13,14],[4,5,6,8,9,11,12]]; G[1799]:=Group([(1,2,3)(5,8,11)(6,9,12)(7,10,13)]); # Design 1800: autom. group order 3, simple B[1800]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,6,8,10,11,12],[1,3,5,7,8,10,13],[1,3,6,9,11,13,14],[1,4,5,9,10,12,14],[1,4,5,10,12,13,14],[1,4,6,7,11,13,14],[1,6,7,8,9,10,13],[1,7,8,9,11,12,14],[2,3,6,10,12,13,14],[2,3,7,9,10,13,14],[2,4,5,7,9,11,13],[2,4,6,8,9,12,13],[2,4,7,8,10,11,14],[2,5,6,9,10,11,14],[2,5,7,8,12,13,14],[3,4,5,6,8,9,14],[3,4,6,7,8,12,14],[3,4,7,9,10,11,12],[3,5,6,7,10,11,12],[3,5,8,9,11,12,13],[4,5,6,8,10,11,13]]; G[1800]:=Group([(1,10,14)(2,11,8)(3,6,7)(4,5,12)]); # Design 1801: autom. group order 3, simple, residual B[1801]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,6,7,8,13,14],[1,3,5,9,12,13,14],[1,3,6,7,10,11,12],[1,4,5,7,8,10,14],[1,4,5,9,10,11,13],[1,4,6,7,9,12,14],[1,6,8,10,11,13,14],[1,7,8,9,11,12,13],[2,3,6,8,10,12,13],[2,3,7,9,10,11,14],[2,4,5,7,8,12,13],[2,4,6,9,10,13,14],[2,4,8,9,11,12,14],[2,5,6,7,9,11,13],[2,5,7,10,11,12,14],[3,4,5,6,11,13,14],[3,4,6,7,8,9,11],[3,4,7,10,12,13,14],[3,5,6,8,9,12,14],[3,5,7,8,9,10,13],[4,5,6,8,10,11,12]]; G[1801]:=Group([(1,2,3)(5,8,11)(6,10,12)(7,9,13)]); # Design 1802: autom. group order 3, simple, residual B[1802]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,6,9,10,11,13],[1,4,5,7,9,11,12],[1,4,5,8,9,10,14],[1,4,6,7,10,13,14],[1,6,7,8,10,11,12],[1,7,8,9,11,13,14],[2,3,6,7,8,9,13],[2,3,7,9,10,11,14],[2,4,5,7,8,10,13],[2,4,6,9,10,12,14],[2,4,8,11,12,13,14],[2,5,6,10,11,13,14],[2,5,7,9,10,11,12],[3,4,5,6,7,11,14],[3,4,6,8,10,11,12],[3,4,7,9,12,13,14],[3,5,6,8,9,12,14],[3,5,7,8,10,12,13],[4,5,6,8,9,11,13]]; G[1802]:=Group([(1,2,3)(5,8,11)(6,9,13)(7,10,12)]); # Design 1803: autom. group order 3, simple B[1803]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,7,10,12,13],[1,3,6,10,11,13,14],[1,4,5,7,9,11,14],[1,4,5,8,9,12,13],[1,4,6,7,10,13,14],[1,6,8,9,11,12,13],[1,7,8,9,10,11,14],[2,3,7,8,9,13,14],[2,3,7,9,10,11,12],[2,4,5,8,10,13,14],[2,4,6,7,8,11,13],[2,4,6,9,10,12,14],[2,5,6,7,9,11,13],[2,5,10,11,12,13,14],[3,4,5,6,9,10,11],[3,4,6,8,11,12,14],[3,4,7,9,12,13,14],[3,5,6,7,8,12,14],[3,5,6,8,9,10,13],[4,5,7,8,10,11,12]]; G[1803]:=Group([(1,2,3)(5,8,11)(6,9,13)(7,10,12)]); # Design 1804: autom. group order 3, simple, residual B[1804]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,9,12,13,14],[1,3,6,7,9,11,13],[1,4,5,7,10,11,12],[1,4,5,8,10,13,14],[1,4,6,7,9,13,14],[1,6,8,10,11,12,13],[1,7,8,9,10,11,14],[2,3,7,8,10,12,13],[2,3,7,9,10,11,14],[2,4,5,7,8,9,13],[2,4,6,8,11,13,14],[2,4,6,9,10,12,14],[2,5,6,7,10,11,13],[2,5,9,11,12,13,14],[3,4,5,6,10,11,14],[3,4,6,8,9,11,12],[3,4,7,10,12,13,14],[3,5,6,7,8,12,14],[3,5,6,8,9,10,13],[4,5,7,8,9,11,12]]; G[1804]:=Group([(1,2,3)(5,8,11)(6,10,13)(7,9,12)]); # Design 1805: autom. group order 3, simple, residual B[1805]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,7,9,11,13],[1,3,6,9,12,13,14],[1,4,5,7,10,12,14],[1,4,5,10,11,13,14],[1,4,8,9,10,12,13],[1,6,7,8,9,11,14],[1,6,7,8,10,11,13],[2,3,7,8,10,11,12],[2,3,7,9,10,13,14],[2,4,5,6,8,13,14],[2,4,6,7,11,12,13],[2,4,7,8,9,13,14],[2,5,6,9,10,11,13],[2,5,9,10,11,12,14],[3,4,5,6,7,9,10],[3,4,6,8,10,11,14],[3,4,6,9,11,12,14],[3,5,6,8,10,12,13],[3,5,7,8,12,13,14],[4,5,7,8,9,11,12]]; G[1805]:=Group([(1,2,3)(5,8,11)(6,10,13)(7,9,12)]); # Design 1806: autom. group order 3, simple, residual B[1806]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,9,12,13,14],[1,3,6,7,9,11,13],[1,4,5,7,8,9,10],[1,4,5,10,11,13,14],[1,4,7,10,12,13,14],[1,6,7,8,10,11,13],[1,6,8,9,11,12,14],[2,3,7,8,10,12,13],[2,3,7,9,10,11,14],[2,4,5,6,8,13,14],[2,4,6,7,9,13,14],[2,4,8,9,11,12,13],[2,5,6,9,10,11,13],[2,5,7,10,11,12,14],[3,4,5,6,7,11,12],[3,4,6,8,10,11,14],[3,4,6,9,10,12,14],[3,5,6,8,10,12,13],[3,5,7,8,9,13,14],[4,5,7,8,9,11,12]]; G[1806]:=Group([(1,2,3)(5,8,11)(6,10,13)(7,9,12)]); # Design 1807: autom. group order 3, simple B[1807]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,7,10,12,13],[1,3,9,10,11,12,14],[1,4,5,6,7,10,11],[1,4,5,8,9,13,14],[1,4,6,9,10,13,14],[1,6,7,8,9,11,13],[1,7,8,10,11,12,14],[2,3,6,7,8,10,14],[2,3,6,9,10,11,13],[2,4,5,8,9,10,12],[2,4,7,8,11,13,14],[2,4,7,10,12,13,14],[2,5,6,9,11,12,14],[2,5,7,9,10,11,13],[3,4,5,7,9,11,14],[3,4,6,7,9,12,14],[3,4,6,8,11,12,13],[3,5,6,8,10,13,14],[3,5,7,8,9,12,13],[4,5,6,8,10,11,12]]; G[1807]:=Group([(1,2,3)(5,8,11)(6,10,12)(7,9,13)]); # Design 1808: autom. group order 3, simple, residual B[1808]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,12,13,14],[1,3,5,7,10,11,12],[1,3,9,10,12,13,14],[1,4,5,6,7,10,13],[1,4,5,8,9,13,14],[1,4,6,9,10,11,14],[1,6,7,8,9,11,13],[1,7,8,10,11,12,14],[2,3,6,7,9,10,14],[2,3,6,8,10,11,13],[2,4,5,10,12,13,14],[2,4,7,8,9,10,12],[2,4,7,8,11,13,14],[2,5,6,9,11,12,14],[2,5,7,9,10,11,13],[3,4,5,7,9,11,14],[3,4,6,7,8,12,14],[3,4,6,9,11,12,13],[3,5,6,8,10,13,14],[3,5,7,8,9,12,13],[4,5,6,8,10,11,12]]; G[1808]:=Group([(1,2,3)(5,8,11)(6,10,12)(7,9,13)]); # Design 1809: autom. group order 3, simple, residual B[1809]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,7,9,10,11,12],[1,4,5,6,9,10,11],[1,4,5,7,8,9,14],[1,4,6,7,10,13,14],[1,6,8,10,11,13,14],[1,7,8,9,11,12,13],[2,3,6,7,8,10,13],[2,3,6,9,10,11,14],[2,4,5,8,10,12,13],[2,4,7,9,10,12,14],[2,4,8,9,11,13,14],[2,5,6,7,9,11,13],[2,5,7,10,11,12,14],[3,4,5,7,11,13,14],[3,4,6,7,8,11,12],[3,4,6,9,12,13,14],[3,5,6,8,9,12,14],[3,5,7,8,9,10,13],[4,5,6,8,10,11,12]]; G[1809]:=Group([(1,2,3)(5,8,11)(6,10,12)(7,9,13)]); # Design 1810: autom. group order 3, simple, residual B[1810]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,4,5,6,10,11,13],[1,4,5,7,8,9,14],[1,4,6,9,10,13,14],[1,6,7,8,10,11,14],[1,7,8,9,11,12,13],[2,3,6,7,9,10,11],[2,3,6,8,10,13,14],[2,4,5,7,8,10,12],[2,4,7,10,12,13,14],[2,4,8,9,11,13,14],[2,5,6,7,9,11,13],[2,5,9,10,11,12,14],[3,4,5,7,11,13,14],[3,4,6,7,9,12,14],[3,4,6,8,9,11,12],[3,5,6,8,12,13,14],[3,5,7,8,9,10,13],[4,5,6,8,10,11,12]]; G[1810]:=Group([(1,2,3)(5,8,11)(6,10,12)(7,9,13)]); # Design 1811: autom. group order 3, simple, residual B[1811]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,6,8,9,12,14],[1,3,5,7,10,12,14],[1,3,7,9,10,11,12],[1,4,5,6,9,10,11],[1,4,5,7,8,13,14],[1,4,6,7,10,13,14],[1,6,7,8,9,11,13],[1,8,10,11,12,13,14],[2,3,6,7,8,10,13],[2,3,6,10,11,13,14],[2,4,5,8,10,12,13],[2,4,7,8,9,11,14],[2,4,7,9,10,12,14],[2,5,6,7,11,12,14],[2,5,7,9,10,11,13],[3,4,5,9,11,13,14],[3,4,6,7,8,11,12],[3,4,6,9,12,13,14],[3,5,6,8,9,10,14],[3,5,7,8,9,12,13],[4,5,6,8,10,11,12]]; G[1811]:=Group([(1,2,3)(5,8,11)(6,10,12)(7,9,13)]); # Design 1812: autom. group order 3, simple, residual B[1812]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,14],[1,2,6,8,9,12,13],[1,3,5,7,9,11,12],[1,3,7,10,12,13,14],[1,4,5,6,8,10,12],[1,4,5,7,9,13,14],[1,4,6,7,10,11,13],[1,6,7,8,11,12,14],[1,8,9,10,11,13,14],[2,3,6,7,9,13,14],[2,3,6,10,11,12,14],[2,4,5,10,11,13,14],[2,4,7,8,9,12,14],[2,4,7,9,10,11,12],[2,5,6,7,8,11,13],[2,5,7,8,10,12,13],[3,4,5,8,12,13,14],[3,4,6,7,8,10,14],[3,4,6,8,9,11,13],[3,5,6,9,10,12,13],[3,5,7,8,9,10,11],[4,5,6,9,11,12,14]]; G[1812]:=Group([(1,6,14)(2,9,5)(3,13,4)(8,12,11)]); # Design 1813: autom. group order 3, simple B[1813]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,12,13,14],[1,2,6,8,9,10,12],[1,3,5,7,9,11,12],[1,3,7,9,10,13,14],[1,4,5,6,8,9,13],[1,4,5,7,10,12,14],[1,4,6,7,10,11,13],[1,6,7,8,9,11,14],[1,8,10,11,12,13,14],[2,3,6,7,10,12,14],[2,3,6,9,11,13,14],[2,4,5,9,10,13,14],[2,4,7,8,9,12,14],[2,4,7,8,11,12,13],[2,5,6,7,8,10,11],[2,5,7,9,10,11,13],[3,4,5,8,10,11,14],[3,4,6,7,8,13,14],[3,4,6,9,10,11,12],[3,5,6,8,10,12,13],[3,5,7,8,9,12,13],[4,5,6,9,11,12,14]]; G[1813]:=Group([(1,6,14)(2,12,5)(3,10,4)(8,9,11)]); # Design 1814: autom. group order 3, simple, residual B[1814]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,6,8,12,13,14],[1,3,5,9,10,13,14],[1,3,7,9,11,12,13],[1,4,5,6,9,10,11],[1,4,5,7,8,13,14],[1,4,6,7,10,12,14],[1,6,8,9,10,11,13],[1,7,8,10,11,12,14],[2,3,6,7,10,11,14],[2,3,7,8,9,10,12],[2,4,5,8,10,12,13],[2,4,6,8,9,11,14],[2,4,7,9,10,13,14],[2,5,6,10,11,12,13],[2,5,7,9,11,13,14],[3,4,5,10,11,12,14],[3,4,6,7,8,11,13],[3,4,6,9,12,13,14],[3,5,6,7,8,10,13],[3,5,6,8,9,12,14],[4,5,7,8,9,11,12]]; G[1814]:=Group([(1,2,3)(5,8,11)(6,10,13)(7,9,12)]); # Design 1815: autom. group order 3, simple B[1815]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,9,10,11,13],[1,3,7,9,10,12,14],[1,4,5,6,8,12,13],[1,4,5,7,10,11,14],[1,4,6,7,9,13,14],[1,6,8,10,11,12,14],[1,7,8,9,11,12,13],[2,3,6,11,12,13,14],[2,3,7,8,9,13,14],[2,4,5,9,10,12,13],[2,4,6,9,10,11,14],[2,4,7,8,10,11,12],[2,5,6,7,8,9,11],[2,5,7,10,12,13,14],[3,4,5,7,8,12,14],[3,4,6,7,9,11,12],[3,4,6,8,10,13,14],[3,5,6,7,10,11,13],[3,5,6,8,9,10,12],[4,5,8,9,11,13,14]]; G[1815]:=Group([(1,4,9)(2,10,3)(5,11,12)(6,14,7)]); # Design 1816: autom. group order 3, simple B[1816]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,9,10,13,14],[1,3,5,7,8,10,12],[1,3,7,9,12,13,14],[1,4,5,6,10,12,13],[1,4,5,8,11,13,14],[1,4,7,9,10,11,14],[1,6,7,8,9,11,12],[1,6,7,8,10,11,13],[2,3,6,7,8,10,14],[2,3,6,10,11,12,13],[2,4,5,6,7,9,11],[2,4,7,8,12,13,14],[2,4,8,9,10,11,12],[2,5,7,8,9,12,13],[2,5,7,10,11,13,14],[3,4,5,7,9,10,13],[3,4,6,7,11,12,14],[3,4,6,8,9,13,14],[3,5,6,8,9,11,13],[3,5,9,10,11,12,14],[4,5,6,8,10,12,14]]; G[1816]:=Group([(1,4,13)(2,8,6)(3,14,10)(5,12,11)]); # Design 1817: autom. group order 3, simple, residual B[1817]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,9,10,12],[1,3,5,7,10,13,14],[1,3,8,9,10,13,14],[1,4,5,6,7,8,13],[1,4,5,9,11,12,14],[1,4,7,8,10,11,12],[1,6,7,8,9,11,13],[1,6,10,11,12,13,14],[2,3,6,7,10,11,14],[2,3,6,8,9,12,13],[2,4,5,9,10,11,13],[2,4,6,8,11,13,14],[2,4,7,8,10,12,14],[2,5,7,8,12,13,14],[2,5,7,9,10,11,13],[3,4,5,6,10,12,13],[3,4,6,7,9,11,14],[3,4,7,9,12,13,14],[3,5,6,8,10,11,12],[3,5,7,8,9,11,12],[4,5,6,8,9,10,14]]; G[1817]:=Group([(1,3,12)(2,13,11)(5,9,10)(6,14,8)]); # Design 1818: autom. group order 3, simple, residual B[1818]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,6,8,12,13,14],[1,3,5,9,10,13,14],[1,3,7,9,11,12,13],[1,4,5,6,8,10,12],[1,4,5,7,10,11,14],[1,4,7,10,12,13,14],[1,6,7,8,9,11,14],[1,6,8,9,10,11,13],[2,3,6,7,10,11,14],[2,3,7,8,9,10,12],[2,4,5,8,9,13,14],[2,4,6,7,9,13,14],[2,4,7,8,10,11,13],[2,5,6,10,11,12,13],[2,5,9,10,11,12,14],[3,4,5,6,9,11,13],[3,4,6,8,11,12,14],[3,4,6,9,10,12,14],[3,5,6,7,8,10,13],[3,5,7,8,12,13,14],[4,5,7,8,9,11,12]]; G[1818]:=Group([(1,2,3)(5,8,11)(6,10,13)(7,9,12)]); # Design 1819: autom. group order 3, simple, residual B[1819]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,6,8,12,13,14],[1,3,5,9,10,13,14],[1,3,7,9,11,12,13],[1,4,5,7,10,11,13],[1,4,5,8,10,12,14],[1,4,6,7,10,12,14],[1,6,7,8,9,11,14],[1,6,8,9,10,11,13],[2,3,6,7,10,11,14],[2,3,7,8,9,10,12],[2,4,5,6,8,9,13],[2,4,7,8,11,13,14],[2,4,7,9,10,13,14],[2,5,6,10,11,12,13],[2,5,9,10,11,12,14],[3,4,5,6,9,11,14],[3,4,6,8,10,11,12],[3,4,6,9,12,13,14],[3,5,6,7,8,10,13],[3,5,7,8,12,13,14],[4,5,7,8,9,11,12]]; G[1819]:=Group([(1,2,3)(5,8,11)(6,10,13)(7,9,12)]); # Design 1820: autom. group order 3, simple, residual B[1820]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,12,13,14],[1,3,5,6,11,13,14],[1,3,7,9,10,12,14],[1,4,5,6,7,10,14],[1,4,5,9,10,12,13],[1,4,7,8,11,13,14],[1,6,7,8,9,10,11],[1,6,8,10,11,12,13],[2,3,6,7,10,12,13],[2,3,6,8,10,13,14],[2,4,5,7,10,11,13],[2,4,6,9,10,11,14],[2,4,6,9,11,12,14],[2,5,7,8,9,13,14],[2,5,7,8,10,11,12],[3,4,5,8,10,12,14],[3,4,6,7,8,9,13],[3,4,7,8,11,12,14],[3,5,6,7,9,11,12],[3,5,9,10,11,13,14],[4,5,6,8,9,12,13]]; G[1820]:=Group([(1,3,5)(2,11,6)(4,9,14)(7,8,13)]); # Design 1821: autom. group order 3, simple B[1821]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,7,9,10,12,13],[1,3,5,6,9,12,14],[1,3,7,10,11,12,14],[1,4,5,7,9,10,11],[1,4,5,8,10,13,14],[1,4,6,7,11,13,14],[1,6,7,8,9,13,14],[1,6,8,9,10,11,12],[2,3,6,7,8,9,11],[2,3,6,7,10,13,14],[2,4,5,6,9,10,14],[2,4,6,10,11,12,14],[2,4,7,8,9,12,14],[2,5,7,8,10,11,13],[2,5,9,11,12,13,14],[3,4,5,7,9,12,13],[3,4,6,8,10,12,13],[3,4,8,9,11,13,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,14],[4,5,6,7,8,11,12]]; G[1821]:=Group([(1,4,12)(2,3,13)(5,8,9)(6,10,7)]); # Design 1822: autom. group order 3, simple, residual B[1822]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,8,10,12,13,14],[1,3,5,6,9,10,14],[1,3,7,10,11,12,13],[1,4,5,7,8,13,14],[1,4,5,9,10,11,12],[1,4,6,7,10,13,14],[1,6,7,8,9,11,13],[1,6,8,9,11,12,14],[2,3,6,7,11,12,14],[2,3,6,8,9,10,13],[2,4,5,6,8,12,13],[2,4,7,8,9,11,14],[2,4,7,9,10,12,14],[2,5,6,10,11,13,14],[2,5,7,9,10,11,13],[3,4,5,9,11,13,14],[3,4,6,7,8,10,11],[3,4,6,9,12,13,14],[3,5,7,8,9,12,13],[3,5,7,8,10,12,14],[4,5,6,8,10,11,12]]; G[1822]:=Group([(1,2,3)(5,8,11)(6,10,12)(7,9,13)]); # Design 1823: autom. group order 3, simple, residual B[1823]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,6,7,9,13],[1,3,9,10,11,12,14],[1,4,5,7,9,11,12],[1,4,5,8,10,13,14],[1,4,6,9,10,13,14],[1,6,7,8,10,11,13],[1,6,7,8,11,12,14],[2,3,6,7,8,9,14],[2,3,6,10,11,12,13],[2,4,5,6,8,10,12],[2,4,7,8,11,13,14],[2,4,7,9,12,13,14],[2,5,6,9,10,11,14],[2,5,7,9,10,11,13],[3,4,5,7,10,11,14],[3,4,6,7,10,12,14],[3,4,6,8,9,11,13],[3,5,7,8,10,12,13],[3,5,8,9,12,13,14],[4,5,6,8,9,11,12]]; G[1823]:=Group([(1,2,3)(5,8,11)(6,9,12)(7,10,13)]); # Design 1824: autom. group order 3, simple B[1824]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,8,10,12,13,14],[1,3,5,6,9,10,14],[1,3,7,9,11,12,13],[1,4,5,7,8,13,14],[1,4,5,9,10,11,13],[1,4,6,7,10,12,14],[1,6,7,8,10,11,13],[1,6,8,9,11,12,14],[2,3,6,7,11,13,14],[2,3,7,8,9,10,12],[2,4,5,6,8,12,13],[2,4,6,8,9,11,14],[2,4,7,9,10,13,14],[2,5,6,9,10,11,13],[2,5,7,10,11,12,14],[3,4,5,10,11,12,14],[3,4,6,7,8,10,11],[3,4,6,9,12,13,14],[3,5,6,8,10,12,13],[3,5,7,8,9,13,14],[4,5,7,8,9,11,12]]; G[1824]:=Group([(1,2,3)(5,8,11)(6,10,13)(7,9,12)]); # Design 1825: autom. group order 3, simple, residual B[1825]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,7,8,10,11,13],[1,3,5,6,10,13,14],[1,3,7,8,9,12,14],[1,4,5,7,9,11,12],[1,4,5,7,10,12,13],[1,4,6,8,10,11,14],[1,6,7,9,11,13,14],[1,6,8,9,10,12,13],[2,3,6,9,11,12,13],[2,3,7,10,12,13,14],[2,4,5,6,8,9,13],[2,4,6,10,11,12,14],[2,4,7,8,9,13,14],[2,5,6,7,8,10,12],[2,5,7,9,10,11,14],[3,4,5,9,10,13,14],[3,4,6,7,8,12,14],[3,4,6,7,9,10,11],[3,5,6,7,8,11,13],[3,5,8,9,10,11,12],[4,5,8,11,12,13,14]]; G[1825]:=Group([(1,6,9)(2,7,10)(5,11,8)(12,14,13)]); # Design 1826: autom. group order 3, simple, residual B[1826]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,8,12],[1,2,9,10,12,13,14],[1,3,5,9,11,12,13],[1,3,6,7,9,10,14],[1,4,5,6,9,13,14],[1,4,5,7,10,11,14],[1,4,6,8,10,12,13],[1,6,7,8,10,11,13],[1,7,8,9,11,12,14],[2,3,6,7,12,13,14],[2,3,6,8,9,10,11],[2,4,5,8,10,13,14],[2,4,6,7,9,11,13],[2,4,7,8,9,12,14],[2,5,6,10,11,12,14],[2,5,7,9,10,11,13],[3,4,5,7,9,10,12],[3,4,6,10,11,12,14],[3,4,7,8,11,13,14],[3,5,6,8,9,13,14],[3,5,7,8,10,12,13],[4,5,6,8,9,11,12]]; G[1826]:=Group([(1,2,3)(5,8,11)(6,9,12)(7,10,13)]); # Design 1827: autom. group order 3, simple B[1827]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,7,8,10,12,14],[1,3,5,7,9,13,14],[1,3,6,9,10,11,12],[1,4,5,6,8,13,14],[1,4,5,7,9,10,11],[1,4,6,7,10,12,14],[1,6,7,8,10,11,13],[1,8,9,11,12,13,14],[2,3,6,7,8,9,12],[2,3,6,10,11,13,14],[2,4,5,8,10,12,13],[2,4,6,9,10,13,14],[2,4,7,8,9,11,14],[2,5,6,7,11,12,14],[2,5,7,9,10,11,13],[3,4,5,10,11,12,14],[3,4,6,7,8,11,13],[3,4,7,9,12,13,14],[3,5,6,8,9,10,14],[3,5,7,8,10,12,13],[4,5,6,8,9,11,12]]; G[1827]:=Group([(1,2,3)(5,8,11)(6,9,12)(7,10,13)]); # Design 1828: autom. group order 3, simple, residual B[1828]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,7,8,12,13,14],[1,3,5,9,10,13,14],[1,3,6,7,9,11,12],[1,4,5,6,8,13,14],[1,4,5,7,9,11,13],[1,4,6,7,10,12,14],[1,6,7,8,10,11,13],[1,8,9,10,11,12,14],[2,3,6,7,10,11,14],[2,3,6,8,9,12,13],[2,4,5,7,8,10,12],[2,4,6,9,10,13,14],[2,4,7,8,9,11,14],[2,5,6,11,12,13,14],[2,5,7,9,10,11,13],[3,4,5,10,11,12,14],[3,4,6,8,10,11,13],[3,4,7,9,12,13,14],[3,5,6,7,8,9,14],[3,5,7,8,10,12,13],[4,5,6,8,9,11,12]]; G[1828]:=Group([(1,2,3)(5,8,11)(6,9,12)(7,10,13)]); # Design 1829: autom. group order 3, simple B[1829]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,8,10,12,13,14],[1,3,5,7,9,10,14],[1,3,6,9,10,11,12],[1,4,5,6,8,13,14],[1,4,5,7,9,11,13],[1,4,6,7,10,12,14],[1,6,7,8,11,12,14],[1,7,8,9,10,11,13],[2,3,6,7,8,9,12],[2,3,6,7,11,13,14],[2,4,5,7,8,10,12],[2,4,6,9,10,13,14],[2,4,7,8,9,11,14],[2,5,6,9,10,11,14],[2,5,7,10,11,12,13],[3,4,5,10,11,12,14],[3,4,6,8,10,11,13],[3,4,7,9,12,13,14],[3,5,6,7,8,10,13],[3,5,8,9,12,13,14],[4,5,6,8,9,11,12]]; G[1829]:=Group([(1,2,3)(5,8,11)(6,9,12)(7,10,13)]); # Design 1830: autom. group order 3, simple, residual B[1830]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,7,8,9,10,13],[1,3,5,7,9,10,12],[1,3,6,8,11,13,14],[1,4,5,6,10,13,14],[1,4,5,7,10,11,13],[1,4,6,8,9,11,12],[1,6,7,8,10,12,14],[1,7,9,11,12,13,14],[2,3,6,9,10,13,14],[2,3,7,10,11,12,14],[2,4,5,9,12,13,14],[2,4,6,7,8,12,13],[2,4,6,7,10,11,14],[2,5,6,7,8,9,11],[2,5,8,10,11,12,13],[3,4,5,7,8,12,14],[3,4,6,9,10,11,12],[3,4,7,8,9,13,14],[3,5,6,7,9,11,13],[3,5,6,8,10,12,13],[4,5,8,9,10,11,14]]; G[1830]:=Group([(1,7,12)(3,6,13)(5,8,11)(9,10,14)]); # Design 1831: autom. group order 3, simple B[1831]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,7,9,10,11,13],[1,3,5,10,12,13,14],[1,3,6,7,9,12,13],[1,4,5,6,10,11,12],[1,4,5,7,8,13,14],[1,4,6,7,9,10,14],[1,6,8,10,11,13,14],[1,7,8,9,11,12,14],[2,3,6,8,9,13,14],[2,3,7,10,11,12,14],[2,4,5,9,10,13,14],[2,4,6,9,11,12,14],[2,4,7,8,10,12,13],[2,5,6,7,8,10,11],[2,5,6,7,12,13,14],[3,4,5,7,9,11,14],[3,4,6,7,8,11,13],[3,4,6,8,10,12,14],[3,5,6,9,10,11,13],[3,5,7,8,9,10,12],[4,5,8,9,11,12,13]]; G[1831]:=Group([(1,12,13)(2,10,6)(4,14,9)(5,7,11)]); # Design 1832: autom. group order 3, simple, residual B[1832]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,7,10,11,12,13],[1,3,5,9,10,13,14],[1,3,6,7,9,10,12],[1,4,5,6,12,13,14],[1,4,5,7,10,11,14],[1,4,6,8,9,11,13],[1,6,7,8,10,13,14],[1,7,8,9,11,12,14],[2,3,6,10,11,12,14],[2,3,7,8,9,13,14],[2,4,5,7,9,10,13],[2,4,6,7,9,12,14],[2,4,8,10,12,13,14],[2,5,6,7,8,11,13],[2,5,6,9,10,11,14],[3,4,5,7,8,12,14],[3,4,6,7,8,10,11],[3,4,6,9,11,13,14],[3,5,6,8,10,12,13],[3,5,7,9,11,12,13],[4,5,8,9,10,11,12]]; G[1832]:=Group([(1,9,10)(2,13,6)(4,14,12)(5,7,8)]); # Design 1833: autom. group order 3, simple, residual B[1833]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,9,10,11,14],[1,3,6,7,9,10,12],[1,4,5,6,8,12,14],[1,4,5,7,10,13,14],[1,4,7,9,11,13,14],[1,6,7,8,9,11,13],[1,6,8,10,11,12,14],[2,3,6,7,11,12,14],[2,3,6,9,10,13,14],[2,4,5,6,10,11,13],[2,4,6,7,8,10,14],[2,4,7,9,11,12,14],[2,5,7,8,9,10,11],[2,5,8,9,12,13,14],[3,4,5,7,8,9,12],[3,4,6,8,9,13,14],[3,4,8,10,11,12,13],[3,5,6,7,8,11,13],[3,5,7,10,12,13,14],[4,5,6,9,10,11,12]]; G[1833]:=Group([(1,4,9)(2,8,10)(5,12,6)(11,13,14)]); # Design 1834: autom. group order 3, simple, residual B[1834]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,7,10,12,13,14],[1,3,5,7,10,11,12],[1,3,6,9,10,13,14],[1,4,5,6,7,10,13],[1,4,5,8,9,13,14],[1,4,9,10,11,12,14],[1,6,7,8,9,11,13],[1,6,7,8,11,12,14],[2,3,6,7,9,12,14],[2,3,6,8,10,11,13],[2,4,5,6,12,13,14],[2,4,7,8,9,10,12],[2,4,7,8,11,13,14],[2,5,6,9,10,11,14],[2,5,7,9,10,11,13],[3,4,5,7,9,11,14],[3,4,6,7,8,10,14],[3,4,6,9,11,12,13],[3,5,7,8,9,12,13],[3,5,8,10,12,13,14],[4,5,6,8,10,11,12]]; G[1834]:=Group([(1,2,3)(5,8,11)(6,10,12)(7,9,13)]); # Design 1835: autom. group order 3, simple, residual B[1835]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,7,9,10,12,14],[1,3,5,9,10,11,12],[1,3,6,7,9,13,14],[1,4,5,6,9,10,14],[1,4,5,7,8,13,14],[1,4,7,9,11,12,13],[1,6,7,8,10,11,13],[1,6,8,10,11,12,14],[2,3,6,7,8,9,11],[2,3,6,10,12,13,14],[2,4,5,6,7,10,12],[2,4,7,8,10,11,14],[2,4,8,9,12,13,14],[2,5,6,9,11,13,14],[2,5,7,9,10,11,13],[3,4,5,10,11,13,14],[3,4,6,7,11,12,14],[3,4,6,8,9,10,13],[3,5,7,8,9,12,14],[3,5,7,8,10,12,13],[4,5,6,8,9,11,12]]; G[1835]:=Group([(1,2,3)(5,8,11)(6,9,12)(7,10,13)]); # Design 1836: autom. group order 3, simple, residual B[1836]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,7,8,10,12,13],[1,3,5,7,9,10,12],[1,3,6,10,11,13,14],[1,4,5,6,8,10,14],[1,4,5,9,11,12,13],[1,4,7,9,10,13,14],[1,6,7,8,9,11,13],[1,6,7,8,11,12,14],[2,3,6,7,10,11,12],[2,3,7,8,9,13,14],[2,4,5,6,7,8,13],[2,4,6,10,12,13,14],[2,4,8,9,11,12,14],[2,5,6,9,10,11,13],[2,5,7,9,10,11,14],[3,4,5,7,11,13,14],[3,4,6,7,9,12,14],[3,4,6,8,9,10,11],[3,5,6,8,9,12,13],[3,5,8,10,12,13,14],[4,5,7,8,10,11,12]]; G[1836]:=Group([(1,2,3)(5,8,11)(6,9,13)(7,10,12)]); # Design 1837: autom. group order 3, simple B[1837]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,7,8,10,12,14],[1,3,5,9,10,12,14],[1,3,6,7,9,10,11],[1,4,5,6,7,8,13],[1,4,5,10,11,13,14],[1,4,7,9,12,13,14],[1,6,7,8,9,11,12],[1,6,8,10,11,13,14],[2,3,6,7,11,13,14],[2,3,7,8,9,13,14],[2,4,5,7,9,10,11],[2,4,6,8,10,11,12],[2,4,6,9,10,13,14],[2,5,6,7,10,12,14],[2,5,8,9,11,12,13],[3,4,5,6,8,12,14],[3,4,6,9,11,12,14],[3,4,7,8,10,12,13],[3,5,6,8,9,10,13],[3,5,7,10,11,12,13],[4,5,7,8,9,11,14]]; G[1837]:=Group([(1,4,9)(2,10,3)(5,11,6)(12,13,14)]); # Design 1838: autom. group order 3, simple B[1838]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,9,10,12,14],[1,3,6,7,9,10,11],[1,4,5,6,7,8,14],[1,4,5,10,11,13,14],[1,4,7,9,12,13,14],[1,6,7,8,9,11,13],[1,6,8,10,11,12,14],[2,3,6,7,11,13,14],[2,3,7,8,9,12,14],[2,4,5,7,9,10,11],[2,4,6,8,10,11,12],[2,4,6,9,10,13,14],[2,5,6,7,10,12,14],[2,5,8,9,11,13,14],[3,4,5,6,8,12,13],[3,4,6,9,11,12,14],[3,4,7,8,10,13,14],[3,5,6,8,9,10,13],[3,5,7,10,11,12,13],[4,5,7,8,9,11,12]]; G[1838]:=Group([(1,4,9)(2,10,3)(5,11,6)(12,13,14)]); # Design 1839: autom. group order 3, simple, residual B[1839]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,7,8,10,12,14],[1,3,5,9,10,13,14],[1,3,6,7,9,10,11],[1,4,5,6,7,8,13],[1,4,5,10,11,12,14],[1,4,7,9,12,13,14],[1,6,7,8,9,11,14],[1,6,8,10,11,12,13],[2,3,6,7,11,12,14],[2,3,7,8,9,12,13],[2,4,5,7,9,10,11],[2,4,6,8,10,11,13],[2,4,6,9,10,12,14],[2,5,6,7,10,13,14],[2,5,8,9,11,13,14],[3,4,5,6,8,12,14],[3,4,6,9,11,13,14],[3,4,7,8,10,13,14],[3,5,6,8,9,10,12],[3,5,7,10,11,12,13],[4,5,7,8,9,11,12]]; G[1839]:=Group([(1,4,9)(2,10,3)(5,11,6)(12,14,13)]); # Design 1840: autom. group order 3, simple, residual B[1840]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,14],[1,2,7,9,10,12,13],[1,3,5,8,9,10,13],[1,3,6,7,9,12,14],[1,4,5,7,9,11,12],[1,4,5,7,10,13,14],[1,4,6,10,11,12,14],[1,6,7,8,10,11,13],[1,6,8,9,11,13,14],[2,3,6,7,9,10,14],[2,3,6,10,11,12,13],[2,4,5,6,10,13,14],[2,4,6,7,8,9,11],[2,4,8,9,12,13,14],[2,5,7,8,10,11,12],[2,5,7,9,11,13,14],[3,4,5,6,9,11,13],[3,4,7,8,10,11,14],[3,4,7,8,12,13,14],[3,5,6,7,8,12,13],[3,5,9,10,11,12,14],[4,5,6,8,9,10,12]]; G[1840]:=Group([(2,6,10)(3,14,13)(4,12,7)(5,11,9)]); # Design 1841: autom. group order 3, simple, residual B[1841]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,7,8,12,13,14],[1,3,5,9,10,13,14],[1,3,6,7,9,11,12],[1,4,5,7,8,9,14],[1,4,5,10,11,12,13],[1,4,6,7,10,12,14],[1,6,7,8,10,11,13],[1,6,8,9,11,13,14],[2,3,6,7,10,11,14],[2,3,6,8,9,12,13],[2,4,5,6,7,8,13],[2,4,6,9,10,13,14],[2,4,8,10,11,12,14],[2,5,7,9,10,11,13],[2,5,7,9,11,12,14],[3,4,5,6,11,13,14],[3,4,7,8,9,10,11],[3,4,7,9,12,13,14],[3,5,6,8,10,12,14],[3,5,7,8,10,12,13],[4,5,6,8,9,11,12]]; G[1841]:=Group([(1,2,3)(5,8,11)(6,9,12)(7,10,13)]); # Design 1842: autom. group order 3, simple, residual B[1842]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,9,10,13,14],[1,3,7,9,10,11,12],[1,4,5,6,10,11,12],[1,4,5,7,8,10,13],[1,4,6,7,11,13,14],[1,6,7,8,9,10,14],[1,6,8,9,11,12,13],[2,3,6,7,8,10,11],[2,3,6,10,12,13,14],[2,4,5,6,8,9,13],[2,4,6,9,10,11,14],[2,4,7,9,10,12,13],[2,5,7,8,9,11,12],[2,5,7,10,11,13,14],[3,4,5,7,9,12,14],[3,4,6,7,8,12,14],[3,4,8,9,11,13,14],[3,5,6,7,9,11,13],[3,5,6,8,10,12,13],[4,5,8,10,11,12,14]]; G[1842]:=Group([(1,2,9)(3,4,10)(5,6,14)(7,11,13)]); # Design 1843: autom. group order 3, simple, residual B[1843]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,7,9,10,12,14],[1,3,5,10,12,13,14],[1,3,7,8,10,11,12],[1,4,5,6,7,10,13],[1,4,5,7,8,9,14],[1,4,6,8,11,13,14],[1,6,7,9,11,12,14],[1,6,8,9,10,11,13],[2,3,6,7,8,13,14],[2,3,6,9,10,13,14],[2,4,5,9,10,11,14],[2,4,6,7,8,10,12],[2,4,7,11,12,13,14],[2,5,6,8,10,11,12],[2,5,7,8,9,11,13],[3,4,5,6,9,11,12],[3,4,6,8,9,12,14],[3,4,7,9,10,11,13],[3,5,6,7,10,11,14],[3,5,7,8,9,12,13],[4,5,8,10,12,13,14]]; G[1843]:=Group([(1,5,9)(3,11,10)(4,8,14)(6,13,12)]); # Design 1844: autom. group order 3, simple B[1844]:=[[1,2,3,4,5,6,7],[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],[1,2,7,10,11,12,14],[1,3,5,7,10,11,13],[1,3,9,10,12,13,14],[1,4,5,8,10,12,14],[1,4,6,7,9,11,14],[1,4,6,8,10,11,13],[1,5,7,8,9,13,14],[1,6,7,8,9,12,13],[2,3,6,9,10,13,14],[2,3,7,8,9,11,14],[2,4,5,7,9,12,13],[2,4,5,7,10,13,14],[2,4,6,8,12,13,14],[2,5,8,9,10,11,12],[2,6,7,8,10,11,13],[3,4,5,8,9,11,13],[3,4,6,7,9,10,12],[3,4,7,8,11,12,14],[3,5,6,7,8,10,12],[3,5,6,11,12,13,14],[4,5,6,9,10,11,14]]; G[1844]:=Group([(1,4,12)(3,13,11)(6,7,9)(8,14,10)]); # Design 1845: autom. group order 3, simple, residual B[1845]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,10,11,12],[1,3,5,7,9,10,13],[1,3,9,10,11,13,14],[1,4,5,8,11,13,14],[1,4,6,7,8,10,14],[1,4,6,9,12,13,14],[1,5,7,10,11,12,14],[1,6,7,8,9,12,13],[2,3,6,10,12,13,14],[2,3,7,8,11,13,14],[2,4,5,7,9,10,13],[2,4,5,7,12,13,14],[2,4,6,9,10,11,14],[2,5,8,9,10,12,14],[2,6,7,8,9,11,13],[3,4,5,8,9,11,12],[3,4,6,7,10,11,12],[3,4,7,8,9,12,14],[3,5,6,7,9,11,14],[3,5,6,8,10,12,13],[4,5,6,8,10,11,13]]; G[1845]:=Group([(1,3,12)(2,4,11)(5,8,7)(6,9,10)]); # Design 1846: autom. group order 3, simple, residual B[1846]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,12,13,14],[1,3,5,9,10,12,13],[1,3,7,9,10,11,14],[1,4,5,7,11,13,14],[1,4,6,7,8,10,13],[1,4,6,10,11,12,14],[1,5,7,8,9,10,12],[1,6,8,9,11,13,14],[2,3,6,10,12,13,14],[2,3,7,8,10,11,14],[2,4,5,8,9,13,14],[2,4,5,9,10,11,14],[2,4,6,7,9,10,13],[2,5,7,10,11,12,13],[2,6,7,8,9,11,12],[3,4,5,7,8,12,14],[3,4,6,7,9,12,14],[3,4,8,9,11,12,13],[3,5,6,7,9,11,13],[3,5,6,8,10,13,14],[4,5,6,8,10,11,12]]; G[1846]:=Group([(1,2,9)(3,4,10)(6,14,12)(7,11,13)]); # Design 1847: autom. group order 3, simple B[1847]:=[[1,2,3,4,5,6,7],[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],[1,2,10,11,12,13,14],[1,3,5,7,10,11,13],[1,3,7,8,9,12,13],[1,4,5,8,10,12,14],[1,4,6,7,8,10,13],[1,4,6,7,9,11,14],[1,5,8,9,11,13,14],[1,6,7,9,10,12,14],[2,3,6,9,10,13,14],[2,3,7,8,9,11,14],[2,4,5,7,9,12,13],[2,4,5,7,10,11,14],[2,4,6,8,12,13,14],[2,5,7,8,9,10,12],[2,6,7,8,10,11,13],[3,4,5,9,10,13,14],[3,4,6,9,10,11,12],[3,4,7,8,11,12,14],[3,5,6,7,12,13,14],[3,5,6,8,10,11,12],[4,5,6,8,9,11,13]]; G[1847]:=Group([(1,5,12)(3,7,13)(6,9,11)(8,10,14)]); # Design 1848: autom. group order 3, simple, residual B[1848]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,11,13],[1,3,5,9,10,11,13],[1,3,6,9,10,12,14],[1,4,5,7,10,13,14],[1,4,6,8,10,11,12],[1,4,7,8,10,13,14],[1,5,6,8,9,12,13],[1,7,8,9,11,12,14],[2,3,7,8,9,13,14],[2,3,10,11,12,13,14],[2,4,5,8,9,12,13],[2,4,5,9,10,12,14],[2,4,6,7,9,10,11],[2,5,6,8,10,11,14],[2,6,7,8,10,12,13],[3,4,5,7,8,11,12],[3,4,6,7,9,12,14],[3,4,6,8,11,13,14],[3,5,6,7,10,12,13],[3,5,7,8,9,10,11],[4,5,6,9,11,13,14]]; G[1848]:=Group([(1,4,10)(2,9,3)(6,12,11)(7,14,13)]); # Design 1849: autom. group order 3, simple B[1849]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,9,10,11],[1,3,6,7,10,12,13],[1,4,5,10,11,13,14],[1,4,6,8,10,12,13],[1,4,7,8,9,12,14],[1,5,7,9,10,13,14],[1,6,7,8,11,12,14],[2,3,7,10,11,12,14],[2,3,8,9,12,13,14],[2,4,5,6,10,12,14],[2,4,5,7,8,13,14],[2,4,6,7,9,10,11],[2,5,8,10,11,12,13],[2,6,7,8,9,10,13],[3,4,5,7,9,12,13],[3,4,6,9,11,13,14],[3,4,7,8,10,11,14],[3,5,6,7,8,11,13],[3,5,6,9,10,12,14],[4,5,6,8,9,11,12]]; G[1849]:=Group([(1,6,14)(2,11,8)(3,9,7)(5,13,12)]); # Design 1850: autom. group order 3, simple B[1850]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,10,13],[1,3,5,7,8,11,13],[1,3,6,9,12,13,14],[1,4,5,7,10,13,14],[1,4,6,7,11,12,14],[1,4,8,9,12,13,14],[1,5,8,9,10,11,14],[1,6,7,8,10,11,12],[2,3,7,8,9,12,14],[2,3,7,10,11,12,14],[2,4,5,6,9,11,14],[2,4,5,8,11,12,13],[2,4,7,8,10,13,14],[2,5,6,10,12,13,14],[2,6,7,8,9,11,13],[3,4,5,7,9,10,12],[3,4,6,8,10,11,14],[3,4,6,9,10,11,13],[3,5,6,8,10,12,13],[3,5,7,9,11,13,14],[4,5,6,7,8,9,12]]; G[1850]:=Group([(1,3,10)(2,4,9)(5,6,11)(7,13,12)]); # Design 1851: autom. group order 3, simple, residual B[1851]:=[[1,2,3,4,5,6,7],[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],[1,2,6,10,11,12,13],[1,3,5,7,11,13,14],[1,3,6,7,9,10,12],[1,4,5,7,9,10,11],[1,4,7,8,10,13,14],[1,4,8,9,12,13,14],[1,5,6,10,12,13,14],[1,6,7,8,9,11,14],[2,3,7,8,10,12,14],[2,3,7,9,11,13,14],[2,4,5,6,9,13,14],[2,4,5,7,10,12,14],[2,4,6,9,10,11,14],[2,5,7,8,9,12,13],[2,6,7,8,10,11,13],[3,4,5,8,10,11,13],[3,4,6,7,9,12,13],[3,4,6,8,11,12,14],[3,5,6,8,9,10,13],[3,5,9,10,11,12,14],[4,5,6,7,8,11,12]]; G[1851]:=Group([(1,10,11)(2,12,6)(3,14,8)(4,5,7)]); # Design 1852: autom. group order 3, simple, residual B[1852]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,11,12,14],[1,3,6,7,8,10,13],[1,4,5,8,9,11,13],[1,4,7,8,9,12,14],[1,4,7,10,11,13,14],[1,5,6,10,12,13,14],[1,6,7,8,10,11,12],[2,3,7,8,11,12,14],[2,3,7,9,10,12,13],[2,4,5,7,10,12,14],[2,4,5,8,10,13,14],[2,4,6,8,11,12,13],[2,5,6,7,9,11,13],[2,6,8,9,10,11,14],[3,4,5,6,10,11,12],[3,4,6,7,9,13,14],[3,4,6,9,10,11,14],[3,5,7,8,11,13,14],[3,5,8,9,10,12,13],[4,5,6,7,8,9,12]]; G[1852]:=Group([(2,7,12)(3,10,14)(4,11,9)(5,8,13)]); # Design 1853: autom. group order 3, simple B[1853]:=[[1,2,3,4,5,6,7],[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],[1,3,6,7,10,12,14],[1,4,5,11,12,13,14],[1,4,7,8,9,13,14],[1,4,7,8,10,11,14],[1,5,6,8,10,12,13],[1,6,7,8,9,12,13],[2,3,7,10,12,13,14],[2,3,8,9,12,13,14],[2,4,5,7,10,13,14],[2,4,5,8,9,10,12],[2,4,6,7,8,11,12],[2,5,6,8,11,13,14],[2,6,7,9,10,11,13],[3,4,5,6,7,9,13],[3,4,6,8,10,11,13],[3,4,6,9,11,12,14],[3,5,7,8,9,11,14],[3,5,7,8,10,11,12],[4,5,6,9,10,12,14]]; G[1853]:=Group([(1,5,9)(2,12,7)(3,10,13)(4,8,6)]); # Design 1854: autom. group order 3, simple, residual B[1854]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,10,12,13],[1,3,8,10,11,12,14],[1,4,5,6,9,10,14],[1,4,6,8,9,12,13],[1,4,7,10,11,13,14],[1,5,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,6,9,10,11,13],[2,3,7,8,9,13,14],[2,4,5,7,8,10,13],[2,4,5,7,9,11,12],[2,4,6,8,10,11,12],[2,5,8,10,12,13,14],[2,6,7,9,10,12,14],[3,4,5,9,12,13,14],[3,4,6,7,10,12,14],[3,4,7,8,9,11,14],[3,5,6,7,8,11,12],[3,5,6,9,10,11,13],[4,5,6,8,11,13,14]]; G[1854]:=Group([(1,8,12)(3,10,11)(6,13,9)]); # Design 1855: autom. group order 3, simple, residual B[1855]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,10,13,14],[1,3,5,9,10,11,14],[1,3,7,9,10,12,14],[1,4,5,6,10,13,14],[1,4,6,7,8,12,14],[1,4,7,8,9,11,13],[1,5,7,9,11,12,13],[1,6,8,10,11,12,13],[2,3,6,9,12,13,14],[2,3,7,8,10,12,13],[2,4,5,7,9,10,13],[2,4,5,7,11,12,14],[2,4,6,9,10,11,12],[2,5,8,10,11,13,14],[2,6,7,8,9,11,14],[3,4,5,8,12,13,14],[3,4,6,9,11,13,14],[3,4,7,8,10,11,14],[3,5,6,7,8,9,13],[3,5,6,7,10,11,12],[4,5,6,8,9,10,12]]; G[1855]:=Group([(1,6,9)(2,12,7)(3,10,13)(4,11,5)]); # Design 1856: autom. group order 3, simple B[1856]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,10,12],[1,3,5,10,12,13,14],[1,3,7,8,9,12,13],[1,4,5,6,9,11,13],[1,4,6,8,10,11,14],[1,4,7,10,11,13,14],[1,5,7,8,10,11,12],[1,6,8,9,12,13,14],[2,3,6,10,11,12,14],[2,3,7,8,10,11,13],[2,4,5,7,12,13,14],[2,4,5,8,9,10,13],[2,4,8,9,11,12,14],[2,5,6,8,11,12,13],[2,6,7,9,10,13,14],[3,4,5,9,10,12,14],[3,4,6,7,8,13,14],[3,4,6,7,9,11,12],[3,5,6,9,10,11,13],[3,5,7,8,9,11,14],[4,5,6,7,8,10,12]]; G[1856]:=Group([(2,11,12)(3,4,13)(5,10,9)(6,14,8)]); # Design 1857: autom. group order 3, simple, residual B[1857]:=[[1,2,3,4,5,6,7],[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],[1,2,6,9,10,12,14],[1,3,5,7,11,12,14],[1,3,7,8,9,12,13],[1,4,5,6,9,12,13],[1,4,6,8,11,13,14],[1,4,7,8,10,12,14],[1,5,8,9,10,11,13],[1,6,7,10,11,13,14],[2,3,6,9,11,13,14],[2,3,7,8,10,13,14],[2,4,5,7,8,11,13],[2,4,5,10,11,12,14],[2,4,7,9,12,13,14],[2,5,6,8,10,12,13],[2,6,7,8,9,11,12],[3,4,5,9,10,13,14],[3,4,6,7,9,10,11],[3,4,6,8,10,11,12],[3,5,6,7,10,12,13],[3,5,8,9,11,12,14],[4,5,6,7,8,9,14]]; G[1857]:=Group([(1,3,10)(2,4,9)(5,6,11)(12,13,14)]); # Design 1858: autom. group order 3, simple B[1858]:=[[1,2,3,4,5,6,7],[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],[1,2,6,9,10,12,14],[1,3,5,7,11,12,13],[1,3,7,8,9,12,14],[1,4,5,6,9,12,13],[1,4,6,8,11,13,14],[1,4,7,8,10,13,14],[1,5,8,9,10,11,13],[1,6,7,10,11,12,14],[2,3,6,9,11,13,14],[2,3,7,8,10,12,13],[2,4,5,7,8,11,14],[2,4,5,10,11,12,14],[2,4,7,9,12,13,14],[2,5,6,8,10,12,13],[2,6,7,8,9,11,13],[3,4,5,9,10,13,14],[3,4,6,7,9,10,11],[3,4,6,8,10,11,12],[3,5,6,7,10,13,14],[3,5,8,9,11,12,14],[4,5,6,7,8,9,12]]; G[1858]:=Group([(1,3,10)(2,4,9)(5,6,11)(12,13,14)]); # Design 1859: autom. group order 3, simple, residual B[1859]:=[[1,2,3,4,5,6,7],[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],[1,2,6,9,10,12,14],[1,3,5,7,8,9,14],[1,3,7,10,11,12,14],[1,4,5,6,10,13,14],[1,4,6,8,9,12,13],[1,4,7,9,11,13,14],[1,5,8,9,10,11,13],[1,6,7,8,10,11,12],[2,3,6,10,11,13,14],[2,3,8,9,12,13,14],[2,4,5,7,9,11,12],[2,4,5,8,10,12,14],[2,4,7,8,10,11,13],[2,5,6,7,9,10,13],[2,6,7,8,9,11,14],[3,4,5,9,10,11,14],[3,4,6,7,8,13,14],[3,4,6,7,9,10,12],[3,5,6,9,11,12,13],[3,5,7,8,10,12,13],[4,5,6,8,11,12,14]]; G[1859]:=Group([(1,5,12)(2,14,7)(3,4,10)(6,8,11)]); # Design 1860: autom. group order 3, simple B[1860]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,10,13],[1,3,5,7,8,11,13],[1,3,7,9,12,13,14],[1,4,5,6,10,13,14],[1,4,6,7,11,12,14],[1,4,8,10,12,13,14],[1,5,8,9,10,11,14],[1,6,7,8,9,11,12],[2,3,6,10,11,12,14],[2,3,7,8,10,12,14],[2,4,5,7,9,11,14],[2,4,5,8,11,12,13],[2,4,7,8,9,13,14],[2,5,6,9,12,13,14],[2,6,7,8,10,11,13],[3,4,5,7,9,10,12],[3,4,6,8,9,11,14],[3,4,6,9,10,11,13],[3,5,6,8,9,12,13],[3,5,7,10,11,13,14],[4,5,6,7,8,10,12]]; G[1860]:=Group([(1,3,9)(2,4,10)(5,6,11)(7,13,12)]); # Design 1861: autom. group order 3, simple B[1861]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,10,11,12],[1,3,5,7,9,10,13],[1,3,7,10,11,13,14],[1,4,5,6,11,13,14],[1,4,6,8,9,10,14],[1,4,7,8,12,13,14],[1,5,9,10,11,12,14],[1,6,7,8,9,12,13],[2,3,6,9,11,13,14],[2,3,8,10,12,13,14],[2,4,5,7,9,10,13],[2,4,5,9,12,13,14],[2,4,7,8,10,11,14],[2,5,6,7,10,12,14],[2,6,7,8,9,11,13],[3,4,5,7,8,11,12],[3,4,6,7,9,12,14],[3,4,6,9,10,11,12],[3,5,6,8,10,12,13],[3,5,7,8,9,11,14],[4,5,6,8,10,11,13]]; G[1861]:=Group([(1,3,12)(2,4,11)(5,6,9)(7,10,8)]); # Design 1862: autom. group order 3, simple, residual B[1862]:=[[1,2,3,4,5,6,7],[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],[1,2,6,9,10,12,13],[1,3,5,7,8,9,12],[1,3,7,10,11,12,14],[1,4,5,6,10,11,13],[1,4,6,7,8,13,14],[1,4,7,9,12,13,14],[1,5,8,9,11,13,14],[1,6,7,8,10,11,12],[2,3,6,7,11,13,14],[2,3,8,10,12,13,14],[2,4,5,7,10,12,14],[2,4,5,8,11,12,13],[2,4,7,8,9,11,14],[2,5,6,7,9,11,12],[2,6,7,8,9,10,13],[3,4,5,7,9,10,13],[3,4,6,8,9,11,12],[3,4,6,9,10,11,14],[3,5,6,9,12,13,14],[3,5,7,8,10,11,13],[4,5,6,8,10,12,14]]; G[1862]:=Group([(1,4,10)(2,3,9)(5,11,13)(7,14,12)]); # Design 1863: autom. group order 3, simple, residual B[1863]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,11,12],[1,3,5,9,10,12,13],[1,3,7,8,10,12,14],[1,4,5,6,9,11,13],[1,4,7,9,10,11,14],[1,4,7,9,12,13,14],[1,5,6,8,12,13,14],[1,6,7,8,10,11,13],[2,3,6,9,10,13,14],[2,3,7,8,9,11,13],[2,4,5,8,10,13,14],[2,4,5,10,11,12,14],[2,4,6,7,10,12,13],[2,5,7,8,9,12,13],[2,6,7,9,11,12,14],[3,4,5,7,8,11,12],[3,4,6,8,9,12,14],[3,4,6,8,11,13,14],[3,5,6,9,10,11,12],[3,5,7,10,11,13,14],[4,5,6,7,8,9,10]]; G[1863]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,13,12)]); # Design 1864: autom. group order 3, simple, residual B[1864]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,13,14],[1,3,5,9,10,11,14],[1,3,7,8,10,12,13],[1,4,5,6,9,12,13],[1,4,7,8,9,11,14],[1,4,7,10,11,13,14],[1,5,6,8,10,11,12],[1,6,7,9,12,13,14],[2,3,6,9,10,11,13],[2,3,7,8,9,12,14],[2,4,5,8,12,13,14],[2,4,5,9,10,13,14],[2,4,6,7,10,11,12],[2,5,7,10,11,12,14],[2,6,7,8,9,11,13],[3,4,5,7,8,11,13],[3,4,6,8,10,12,14],[3,4,6,9,11,12,14],[3,5,6,8,11,13,14],[3,5,7,9,10,12,13],[4,5,6,7,8,9,10]]; G[1864]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,13,12)]); # Design 1865: autom. group order 3, simple, residual B[1865]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,10,12,14],[1,3,7,8,10,12,13],[1,4,5,6,9,11,13],[1,4,7,8,11,13,14],[1,4,7,9,10,11,14],[1,5,6,8,10,12,13],[1,6,7,9,12,13,14],[2,3,6,9,10,11,13],[2,3,7,8,9,13,14],[2,4,5,8,10,13,14],[2,4,5,9,12,13,14],[2,4,6,7,10,12,13],[2,5,7,10,11,12,14],[2,6,7,8,9,11,12],[3,4,5,7,8,11,12],[3,4,6,8,9,12,14],[3,4,6,10,11,12,14],[3,5,6,8,11,13,14],[3,5,7,9,10,11,13],[4,5,6,7,8,9,10]]; G[1865]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,13,12)]); # Design 1866: autom. group order 3, simple, residual B[1866]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,10,11,12],[1,3,7,8,10,13,14],[1,4,5,6,8,11,13],[1,4,7,9,10,11,14],[1,4,7,9,12,13,14],[1,5,6,9,12,13,14],[1,6,7,8,10,11,12],[2,3,6,9,10,12,14],[2,3,7,8,9,11,13],[2,4,5,8,10,12,14],[2,4,5,10,11,13,14],[2,4,6,7,9,11,12],[2,5,7,8,9,12,13],[2,6,7,10,11,13,14],[3,4,5,7,10,12,13],[3,4,6,8,9,13,14],[3,4,6,8,11,12,14],[3,5,6,9,10,11,13],[3,5,7,8,11,12,14],[4,5,6,7,8,9,10]]; G[1866]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,12,13)]); # Design 1867: autom. group order 3, simple, residual B[1867]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,13,14],[1,3,5,9,10,11,14],[1,3,7,8,10,12,13],[1,4,5,6,8,11,12],[1,4,7,8,11,13,14],[1,4,7,9,10,11,14],[1,5,6,9,10,12,13],[1,6,7,9,12,13,14],[2,3,6,9,10,11,13],[2,3,7,8,9,12,14],[2,4,5,8,10,13,14],[2,4,5,9,12,13,14],[2,4,6,7,9,11,13],[2,5,7,10,11,12,14],[2,6,7,8,10,11,12],[3,4,5,7,10,12,13],[3,4,6,8,9,12,14],[3,4,6,10,11,12,14],[3,5,6,8,11,13,14],[3,5,7,8,9,11,13],[4,5,6,7,8,9,10]]; G[1867]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,13,12)]); # Design 1868: autom. group order 3, simple, residual B[1868]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,9,12,14],[1,3,7,9,10,12,13],[1,4,5,6,10,12,13],[1,4,7,8,11,13,14],[1,4,7,9,10,11,14],[1,5,6,9,10,11,13],[1,6,7,8,12,13,14],[2,3,6,8,10,11,13],[2,3,7,9,10,13,14],[2,4,5,8,9,13,14],[2,4,5,10,12,13,14],[2,4,6,7,9,11,12],[2,5,7,10,11,12,14],[2,6,7,8,9,12,13],[3,4,5,7,8,11,13],[3,4,6,8,10,12,14],[3,4,6,9,11,12,14],[3,5,6,9,11,13,14],[3,5,7,8,10,11,12],[4,5,6,7,8,9,10]]; G[1868]:=Group([(1,2,3)(5,6,7)(8,10,9)(11,13,12)]); # Design 1869: autom. group order 3, simple, residual B[1869]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,13,14],[1,3,5,8,9,11,14],[1,3,7,9,10,12,13],[1,4,5,6,10,11,12],[1,4,7,8,10,11,14],[1,4,7,9,11,13,14],[1,5,6,9,10,12,13],[1,6,7,8,12,13,14],[2,3,6,8,10,11,13],[2,3,7,9,10,12,14],[2,4,5,8,12,13,14],[2,4,5,9,10,13,14],[2,4,6,7,9,11,13],[2,5,7,10,11,12,14],[2,6,7,8,9,11,12],[3,4,5,7,8,12,13],[3,4,6,8,9,12,14],[3,4,6,10,11,12,14],[3,5,6,9,11,13,14],[3,5,7,8,10,11,13],[4,5,6,7,8,9,10]]; G[1869]:=Group([(1,2,3)(5,6,7)(8,10,9)(11,13,12)]); # Design 1870: autom. group order 3, simple, residual B[1870]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,11,12],[1,3,5,8,9,12,13],[1,3,7,9,10,12,14],[1,4,5,6,10,12,13],[1,4,7,8,10,13,14],[1,4,7,8,11,12,14],[1,5,6,9,11,13,14],[1,6,7,9,10,11,13],[2,3,6,8,10,13,14],[2,3,7,9,10,11,13],[2,4,5,9,10,12,14],[2,4,5,10,11,13,14],[2,4,6,7,9,11,12],[2,5,7,8,9,12,13],[2,6,7,8,12,13,14],[3,4,5,7,8,11,13],[3,4,6,8,9,11,14],[3,4,6,9,12,13,14],[3,5,6,8,10,11,12],[3,5,7,10,11,12,14],[4,5,6,7,8,9,10]]; G[1870]:=Group([(1,2,3)(5,6,7)(8,10,9)(11,13,12)]); # Design 1871: autom. group order 3, simple, residual B[1871]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,9,11,12],[1,3,7,9,10,13,14],[1,4,5,6,10,11,13],[1,4,7,8,10,12,14],[1,4,7,8,11,13,14],[1,5,6,9,12,13,14],[1,6,7,9,10,11,12],[2,3,6,8,10,12,14],[2,3,7,9,10,11,13],[2,4,5,9,10,13,14],[2,4,5,10,11,12,14],[2,4,6,7,9,11,12],[2,5,7,8,9,12,13],[2,6,7,8,11,13,14],[3,4,5,7,8,12,13],[3,4,6,8,9,11,14],[3,4,6,9,12,13,14],[3,5,6,8,10,11,13],[3,5,7,10,11,12,14],[4,5,6,7,8,9,10]]; G[1871]:=Group([(1,2,3)(5,6,7)(8,10,9)(11,12,13)]); # Design 1872: autom. group order 3, simple, residual B[1872]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,11,12],[1,3,5,8,9,12,13],[1,3,7,9,10,12,14],[1,4,5,6,9,11,13],[1,4,7,8,10,13,14],[1,4,7,8,11,12,14],[1,5,6,10,12,13,14],[1,6,7,9,10,11,13],[2,3,6,8,10,13,14],[2,3,7,9,10,11,13],[2,4,5,9,10,12,14],[2,4,5,10,11,13,14],[2,4,6,7,8,12,13],[2,5,7,8,9,12,13],[2,6,7,9,11,12,14],[3,4,5,7,10,11,12],[3,4,6,8,9,11,14],[3,4,6,9,12,13,14],[3,5,6,8,10,11,12],[3,5,7,8,11,13,14],[4,5,6,7,8,9,10]]; G[1872]:=Group([(1,2,3)(5,6,7)(8,10,9)(11,13,12)]); # Design 1873: autom. group order 3, simple, residual B[1873]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,9,11,12],[1,3,7,9,10,13,14],[1,4,5,6,9,12,13],[1,4,7,8,10,12,14],[1,4,7,8,11,13,14],[1,5,6,10,11,13,14],[1,6,7,9,10,11,12],[2,3,6,8,10,12,14],[2,3,7,9,10,11,13],[2,4,5,9,10,13,14],[2,4,5,10,11,12,14],[2,4,6,7,8,11,13],[2,5,7,8,9,12,13],[2,6,7,9,11,12,14],[3,4,5,7,10,11,12],[3,4,6,8,9,11,14],[3,4,6,9,12,13,14],[3,5,6,8,10,11,13],[3,5,7,8,12,13,14],[4,5,6,7,8,9,10]]; G[1873]:=Group([(1,2,3)(5,6,7)(8,10,9)(11,12,13)]); # Design 1874: autom. group order 3, simple, residual B[1874]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,9,13,14],[1,3,5,8,10,11,14],[1,3,7,8,10,12,13],[1,4,5,6,10,12,13],[1,4,7,8,9,11,14],[1,4,7,10,11,13,14],[1,5,6,9,10,11,12],[1,6,7,9,12,13,14],[2,3,6,9,10,11,13],[2,3,7,9,10,12,14],[2,4,5,8,12,13,14],[2,4,5,9,10,13,14],[2,4,6,7,8,11,12],[2,5,7,10,11,12,14],[2,6,7,8,10,11,13],[3,4,5,7,9,11,13],[3,4,6,8,10,12,14],[3,4,6,9,11,12,14],[3,5,6,8,11,13,14],[3,5,7,8,9,12,13],[4,5,6,7,8,9,10]]; G[1874]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,13,12)]); # Design 1875: autom. group order 3, simple, residual B[1875]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,9,11,14],[1,3,5,8,10,12,14],[1,3,7,8,10,12,13],[1,4,5,6,10,11,13],[1,4,7,8,11,13,14],[1,4,7,9,10,11,14],[1,5,6,9,10,12,13],[1,6,7,9,12,13,14],[2,3,6,9,10,11,13],[2,3,7,9,10,13,14],[2,4,5,8,10,13,14],[2,4,5,9,12,13,14],[2,4,6,7,8,12,13],[2,5,7,10,11,12,14],[2,6,7,8,10,11,12],[3,4,5,7,9,11,12],[3,4,6,8,9,12,14],[3,4,6,10,11,12,14],[3,5,6,8,11,13,14],[3,5,7,8,9,11,13],[4,5,6,7,8,9,10]]; G[1875]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,13,12)]); # Design 1876: autom. group order 3, simple, residual B[1876]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,10,14],[1,3,5,10,11,12,14],[1,3,7,8,10,11,13],[1,4,5,6,9,12,13],[1,4,7,8,12,13,14],[1,4,8,9,10,12,14],[1,5,6,8,10,11,13],[1,6,7,9,11,13,14],[2,3,6,8,12,13,14],[2,3,7,9,10,12,13],[2,4,5,7,10,13,14],[2,4,5,10,11,13,14],[2,4,6,8,9,11,13],[2,5,8,9,11,12,14],[2,6,7,8,10,11,12],[3,4,5,7,8,9,11],[3,4,6,7,11,12,14],[3,4,6,9,10,11,14],[3,5,6,9,10,12,13],[3,5,7,8,9,13,14],[4,5,6,7,8,10,12]]; G[1876]:=Group([(1,3,12)(2,13,4)(5,10,14)(6,9,8)]); # Design 1877: autom. group order 3, simple, residual B[1877]:=[[1,2,3,4,5,6,7],[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],[1,2,6,9,10,11,13],[1,3,5,9,10,11,13],[1,3,7,9,10,12,14],[1,4,5,6,8,9,12],[1,4,7,8,9,13,14],[1,4,7,8,10,11,14],[1,5,6,10,12,13,14],[1,6,7,8,11,12,13],[2,3,6,7,9,11,14],[2,3,8,10,12,13,14],[2,4,5,7,10,13,14],[2,4,5,8,10,11,12],[2,4,6,9,12,13,14],[2,5,7,8,9,11,13],[2,6,7,8,9,10,12],[3,4,5,7,9,12,13],[3,4,6,7,10,11,12],[3,4,6,8,11,13,14],[3,5,6,7,8,10,13],[3,5,8,9,11,12,14],[4,5,6,9,10,11,14]]; G[1877]:=Group([(2,8,10)(3,4,9)(5,7,13)(6,14,11)]); # Design 1878: autom. group order 3, simple, residual B[1878]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,10,12,13],[1,3,8,10,11,12,14],[1,4,5,9,10,12,14],[1,4,6,7,8,12,14],[1,4,6,9,10,11,13],[1,5,6,7,8,11,13],[1,7,8,9,11,13,14],[2,3,6,10,11,13,14],[2,3,7,8,9,11,12],[2,4,5,8,9,13,14],[2,4,5,8,11,12,13],[2,4,6,7,10,11,14],[2,5,7,10,12,13,14],[2,6,7,8,9,10,12],[3,4,5,7,9,11,14],[3,4,6,7,9,12,13],[3,4,7,8,10,13,14],[3,5,6,8,9,10,13],[3,5,6,9,11,12,14],[4,5,6,8,10,11,12]]; G[1878]:=Group([(1,9,10)(2,5,11)(3,14,6)(8,12,13)]); # Design 1879: autom. group order 3, simple, residual B[1879]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,11],[1,2,5,7,9,10,14],[1,2,6,7,12,13,14],[1,3,5,9,10,12,14],[1,3,8,9,11,13,14],[1,4,5,7,8,13,14],[1,4,6,7,8,10,12],[1,4,6,9,10,11,13],[1,5,7,9,11,12,13],[1,6,8,10,11,12,14],[2,3,6,10,12,13,14],[2,3,7,8,9,12,13],[2,4,5,8,11,12,14],[2,4,5,10,11,13,14],[2,4,7,9,10,11,12],[2,5,6,8,9,10,13],[2,6,7,8,9,11,14],[3,4,5,6,9,12,14],[3,4,6,7,9,11,14],[3,4,7,8,10,13,14],[3,5,6,7,10,11,13],[3,5,7,8,10,11,12],[4,5,6,8,9,12,13]]; G[1879]:=Group([(1,11,13)(3,4,12)(5,14,6)(7,8,10)]); # Design 1880: autom. group order 3, simple, residual B[1880]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,10,11],[1,3,5,7,10,11,14],[1,3,8,10,12,13,14],[1,4,5,8,9,12,14],[1,4,6,7,12,13,14],[1,4,6,8,10,11,13],[1,5,7,8,9,11,13],[1,6,7,9,10,12,14],[2,3,6,9,11,12,14],[2,3,7,8,9,13,14],[2,4,5,7,10,13,14],[2,4,5,10,11,12,14],[2,4,7,8,9,10,12],[2,5,6,7,8,12,13],[2,6,8,10,11,13,14],[3,4,5,6,9,10,13],[3,4,6,7,8,11,12],[3,4,7,9,11,13,14],[3,5,6,9,10,12,13],[3,5,7,8,10,11,12],[4,5,6,8,9,11,14]]; G[1880]:=Group([(1,7,11)(2,14,8)(3,13,6)(5,9,10)]); # Design 1881: autom. group order 3, simple, residual B[1881]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,13,14],[1,3,5,8,10,11,13],[1,3,7,9,11,12,14],[1,4,5,7,9,10,14],[1,4,6,7,8,11,13],[1,4,6,9,10,12,13],[1,5,7,8,12,13,14],[1,6,8,10,11,12,14],[2,3,6,7,10,12,13],[2,3,8,9,12,13,14],[2,4,5,7,8,11,12],[2,4,5,9,11,13,14],[2,4,7,8,10,12,14],[2,5,6,10,11,13,14],[2,6,7,8,9,10,11],[3,4,5,6,10,12,14],[3,4,6,8,9,11,14],[3,4,7,10,11,13,14],[3,5,6,7,9,11,12],[3,5,7,8,9,10,13],[4,5,6,8,9,12,13]]; G[1881]:=Group([(1,10,14)(2,3,13)(4,7,9)(6,8,11)]); # Design 1882: autom. group order 3, simple, residual B[1882]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,10,13,14],[1,3,5,9,10,13,14],[1,3,7,9,11,12,14],[1,4,5,8,12,13,14],[1,4,6,7,8,9,10],[1,4,6,7,11,12,14],[1,5,7,9,10,11,13],[1,6,8,10,11,12,13],[2,3,6,9,11,13,14],[2,3,7,8,10,12,14],[2,4,5,7,9,12,13],[2,4,5,7,10,11,14],[2,4,8,10,11,13,14],[2,5,6,9,10,11,12],[2,6,7,8,9,12,13],[3,4,5,6,10,12,13],[3,4,6,9,10,12,14],[3,4,7,8,9,11,13],[3,5,6,7,8,13,14],[3,5,7,8,10,11,12],[4,5,6,8,9,11,14]]; G[1882]:=Group([(1,10,12)(3,14,9)(4,7,5)(6,11,13)]); # Design 1883: autom. group order 3, simple, residual B[1883]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,11,12],[1,3,5,9,10,12,13],[1,3,7,8,10,12,14],[1,4,5,7,10,11,13],[1,4,6,8,9,12,14],[1,4,7,9,12,13,14],[1,5,6,9,11,13,14],[1,6,7,8,10,11,13],[2,3,6,9,10,13,14],[2,3,7,8,9,11,13],[2,4,5,6,8,12,13],[2,4,5,10,11,12,14],[2,4,7,9,10,11,14],[2,5,7,8,9,12,13],[2,6,7,10,12,13,14],[3,4,5,8,10,13,14],[3,4,6,7,9,11,12],[3,4,6,8,11,13,14],[3,5,6,9,10,11,12],[3,5,7,8,11,12,14],[4,5,6,7,8,9,10]]; G[1883]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,13,12)]); # Design 1884: autom. group order 3, simple, residual B[1884]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,13,14],[1,3,5,9,10,11,14],[1,3,7,8,10,12,13],[1,4,5,7,10,11,13],[1,4,6,8,9,11,14],[1,4,7,9,12,13,14],[1,5,6,9,12,13,14],[1,6,7,8,10,11,12],[2,3,6,9,10,11,13],[2,3,7,8,9,12,14],[2,4,5,6,8,12,13],[2,4,5,10,11,12,14],[2,4,7,9,10,13,14],[2,5,7,8,9,11,13],[2,6,7,10,11,12,14],[3,4,5,8,10,12,14],[3,4,6,7,9,11,12],[3,4,6,8,11,13,14],[3,5,6,9,10,12,13],[3,5,7,8,11,13,14],[4,5,6,7,8,9,10]]; G[1884]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,13,12)]); # Design 1885: autom. group order 3, simple, residual B[1885]:=[[1,2,3,4,5,6,7],[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],[1,3,5,10,12,13,14],[1,3,7,8,10,11,13],[1,4,5,7,9,10,12],[1,4,6,8,9,12,14],[1,4,7,8,12,13,14],[1,5,6,9,10,11,14],[1,6,7,9,10,11,13],[2,3,6,9,10,12,13],[2,3,7,9,11,12,14],[2,4,5,6,8,10,13],[2,4,5,9,11,13,14],[2,4,7,9,10,13,14],[2,5,7,8,10,11,12],[2,6,7,8,10,12,14],[3,4,5,8,10,11,14],[3,4,6,7,8,9,11],[3,4,6,10,11,12,14],[3,5,6,8,9,12,13],[3,5,7,8,9,13,14],[4,5,6,7,11,12,13]]; G[1885]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,12,13)]); # Design 1886: autom. group order 3, simple, residual B[1886]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,13,14],[1,3,5,9,10,11,14],[1,3,7,8,10,12,13],[1,4,5,7,10,11,12],[1,4,6,8,9,12,14],[1,4,7,8,11,13,14],[1,5,6,9,10,12,13],[1,6,7,9,11,13,14],[2,3,6,9,10,11,13],[2,3,7,8,9,12,14],[2,4,5,6,8,11,13],[2,4,5,9,12,13,14],[2,4,7,9,10,11,14],[2,5,7,10,12,13,14],[2,6,7,8,10,11,12],[3,4,5,8,10,13,14],[3,4,6,7,9,12,13],[3,4,6,10,11,12,14],[3,5,6,8,11,12,14],[3,5,7,8,9,11,13],[4,5,6,7,8,9,10]]; G[1886]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,13,12)]); # Design 1887: autom. group order 3, simple, residual B[1887]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,11,12],[1,3,5,9,10,12,13],[1,3,7,8,10,12,14],[1,4,5,7,8,11,13],[1,4,6,9,11,12,14],[1,4,7,9,10,13,14],[1,5,6,10,11,13,14],[1,6,7,8,9,12,13],[2,3,6,9,10,13,14],[2,3,7,8,9,11,13],[2,4,5,6,9,12,13],[2,4,5,8,10,12,14],[2,4,7,10,11,13,14],[2,5,7,9,10,11,12],[2,6,7,8,12,13,14],[3,4,5,8,12,13,14],[3,4,6,7,10,11,12],[3,4,6,8,9,11,14],[3,5,6,8,10,11,13],[3,5,7,9,11,12,14],[4,5,6,7,8,9,10]]; G[1887]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,13,12)]); # Design 1888: autom. group order 3, simple, residual B[1888]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,10,12,14],[1,3,7,8,10,12,13],[1,4,5,7,8,11,13],[1,4,6,9,12,13,14],[1,4,7,9,10,13,14],[1,5,6,10,11,13,14],[1,6,7,8,9,11,12],[2,3,6,9,10,11,13],[2,3,7,8,9,13,14],[2,4,5,6,9,12,13],[2,4,5,8,10,12,14],[2,4,7,10,11,12,14],[2,5,7,9,10,11,13],[2,6,7,8,12,13,14],[3,4,5,8,11,13,14],[3,4,6,7,10,11,12],[3,4,6,8,9,11,14],[3,5,6,8,10,12,13],[3,5,7,9,11,12,14],[4,5,6,7,8,9,10]]; G[1888]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,13,12)]); # Design 1889: autom. group order 3, simple, residual B[1889]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,10,11,12],[1,3,7,8,10,13,14],[1,4,5,7,8,11,12],[1,4,6,9,11,13,14],[1,4,7,9,10,12,14],[1,5,6,10,11,13,14],[1,6,7,8,9,12,13],[2,3,6,9,10,12,14],[2,3,7,8,9,11,13],[2,4,5,6,9,12,13],[2,4,5,8,10,13,14],[2,4,7,10,11,12,14],[2,5,7,9,10,11,13],[2,6,7,8,11,12,14],[3,4,5,8,12,13,14],[3,4,6,7,10,11,13],[3,4,6,8,9,11,14],[3,5,6,8,10,11,12],[3,5,7,9,12,13,14],[4,5,6,7,8,9,10]]; G[1889]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,12,13)]); # Design 1890: autom. group order 3, simple, residual B[1890]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,13,14],[1,3,5,9,10,11,14],[1,3,7,8,10,12,13],[1,4,5,7,8,11,13],[1,4,6,9,12,13,14],[1,4,7,9,10,13,14],[1,5,6,10,11,12,14],[1,6,7,8,9,11,12],[2,3,6,9,10,11,13],[2,3,7,8,9,12,14],[2,4,5,6,9,12,13],[2,4,5,8,10,12,14],[2,4,7,10,11,12,14],[2,5,7,9,10,11,13],[2,6,7,8,11,13,14],[3,4,5,8,11,13,14],[3,4,6,7,10,11,12],[3,4,6,8,9,11,14],[3,5,6,8,10,12,13],[3,5,7,9,12,13,14],[4,5,6,7,8,9,10]]; G[1890]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,13,12)]); # Design 1891: autom. group order 3, simple, residual B[1891]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,10,13,14],[1,3,7,8,10,11,13],[1,4,5,7,8,12,13],[1,4,6,8,9,12,14],[1,4,7,9,11,13,14],[1,5,6,10,12,13,14],[1,6,7,9,10,11,12],[2,3,6,9,10,12,13],[2,3,7,8,9,12,14],[2,4,5,6,9,11,13],[2,4,5,10,11,12,14],[2,4,7,9,10,13,14],[2,5,7,8,10,12,13],[2,6,7,8,11,13,14],[3,4,5,8,10,11,14],[3,4,6,7,10,11,12],[3,4,6,8,12,13,14],[3,5,6,8,9,11,13],[3,5,7,9,11,12,14],[4,5,6,7,8,9,10]]; G[1891]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,12,13)]); # Design 1892: autom. group order 3, simple, residual B[1892]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,10,12,14],[1,3,7,8,10,12,13],[1,4,5,7,8,11,13],[1,4,6,8,9,13,14],[1,4,7,9,11,12,14],[1,5,6,10,12,13,14],[1,6,7,9,10,11,13],[2,3,6,9,10,11,13],[2,3,7,8,9,13,14],[2,4,5,6,9,12,13],[2,4,5,10,11,13,14],[2,4,7,9,10,12,14],[2,5,7,8,10,12,13],[2,6,7,8,11,12,14],[3,4,5,8,10,11,14],[3,4,6,7,10,11,12],[3,4,6,8,12,13,14],[3,5,6,8,9,11,12],[3,5,7,9,11,13,14],[4,5,6,7,8,9,10]]; G[1892]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,13,12)]); # Design 1893: autom. group order 3, simple, residual B[1893]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,13,14],[1,3,5,9,10,11,14],[1,3,7,8,10,12,13],[1,4,5,7,8,11,13],[1,4,6,8,9,12,14],[1,4,7,9,11,13,14],[1,5,6,10,11,12,14],[1,6,7,9,10,12,13],[2,3,6,9,10,11,13],[2,3,7,8,9,12,14],[2,4,5,6,9,12,13],[2,4,5,10,12,13,14],[2,4,7,9,10,11,14],[2,5,7,8,10,11,12],[2,6,7,8,11,13,14],[3,4,5,8,10,13,14],[3,4,6,7,10,11,12],[3,4,6,8,11,12,14],[3,5,6,8,9,11,13],[3,5,7,9,12,13,14],[4,5,6,7,8,9,10]]; G[1893]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,13,12)]); # Design 1894: autom. group order 3, simple, residual B[1894]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,10,11,12],[1,3,7,8,10,13,14],[1,4,5,7,8,11,12],[1,4,6,8,9,13,14],[1,4,7,9,12,13,14],[1,5,6,10,11,13,14],[1,6,7,9,10,11,12],[2,3,6,9,10,12,14],[2,3,7,8,9,11,13],[2,4,5,6,9,12,13],[2,4,5,10,11,13,14],[2,4,7,9,10,11,14],[2,5,7,8,10,12,13],[2,6,7,8,11,12,14],[3,4,5,8,10,12,14],[3,4,6,7,10,11,13],[3,4,6,8,11,12,14],[3,5,6,8,9,11,13],[3,5,7,9,12,13,14],[4,5,6,7,8,9,10]]; G[1894]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,12,13)]); # Design 1895: autom. group order 3, simple, residual B[1895]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,7,14],[1,2,5,8,11,12,14],[1,2,6,8,9,11,13],[1,3,5,8,10,12,13],[1,3,7,10,11,13,14],[1,4,5,7,9,10,11],[1,4,6,9,11,12,14],[1,4,7,8,9,12,14],[1,5,6,9,10,13,14],[1,6,7,8,10,12,13],[2,3,6,9,12,13,14],[2,3,7,9,10,11,12],[2,4,5,6,8,10,12],[2,4,5,9,10,13,14],[2,4,7,10,12,13,14],[2,5,7,8,9,11,13],[2,6,7,8,10,11,14],[3,4,5,8,11,13,14],[3,4,6,7,8,9,13],[3,4,6,8,10,11,14],[3,5,6,9,10,11,12],[3,5,7,8,9,12,14],[4,5,6,7,11,12,13]]; G[1895]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,12,13)]); # Design 1896: autom. group order 3, simple, residual B[1896]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,11,12],[1,3,5,8,9,12,13],[1,3,7,9,10,12,14],[1,4,5,7,10,11,13],[1,4,6,9,11,12,14],[1,4,7,8,9,13,14],[1,5,6,10,11,13,14],[1,6,7,8,10,12,13],[2,3,6,8,10,13,14],[2,3,7,9,10,11,13],[2,4,5,6,9,12,13],[2,4,5,8,10,12,14],[2,4,7,8,11,13,14],[2,5,7,9,10,11,12],[2,6,7,9,12,13,14],[3,4,5,10,12,13,14],[3,4,6,7,8,11,12],[3,4,6,9,10,11,14],[3,5,6,8,9,11,13],[3,5,7,8,11,12,14],[4,5,6,7,8,9,10]]; G[1896]:=Group([(1,2,3)(5,6,7)(8,10,9)(11,13,12)]); # Design 1897: autom. group order 3, simple, residual B[1897]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,9,13,14],[1,3,7,9,10,11,13],[1,4,5,7,10,12,13],[1,4,6,9,11,12,14],[1,4,7,8,10,11,14],[1,5,6,8,10,12,13],[1,6,7,9,12,13,14],[2,3,6,8,10,12,13],[2,3,7,9,10,12,14],[2,4,5,6,9,11,13],[2,4,5,9,10,12,14],[2,4,7,8,12,13,14],[2,5,7,8,11,13,14],[2,6,7,9,10,11,13],[3,4,5,10,11,13,14],[3,4,6,7,8,11,12],[3,4,6,8,9,13,14],[3,5,6,10,11,12,14],[3,5,7,8,9,11,12],[4,5,6,7,8,9,10]]; G[1897]:=Group([(1,2,3)(5,6,7)(8,10,9)(11,12,13)]); # Design 1898: autom. group order 3, simple, residual B[1898]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,9,13,14],[1,3,7,9,10,11,13],[1,4,5,7,10,12,13],[1,4,6,8,10,13,14],[1,4,7,8,11,12,14],[1,5,6,9,10,11,12],[1,6,7,9,12,13,14],[2,3,6,8,10,12,13],[2,3,7,9,10,12,14],[2,4,5,6,9,11,13],[2,4,5,10,12,13,14],[2,4,7,9,10,11,14],[2,5,7,8,11,13,14],[2,6,7,8,9,12,13],[3,4,5,8,9,12,14],[3,4,6,7,8,11,12],[3,4,6,9,11,13,14],[3,5,6,10,11,12,14],[3,5,7,8,10,11,13],[4,5,6,7,8,9,10]]; G[1898]:=Group([(1,2,3)(5,6,7)(8,10,9)(11,12,13)]); # Design 1899: autom. group order 3, simple, residual B[1899]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,9,13,14],[1,3,7,9,10,11,13],[1,4,5,7,10,12,13],[1,4,6,8,9,12,14],[1,4,7,8,11,13,14],[1,5,6,10,12,13,14],[1,6,7,9,10,11,12],[2,3,6,8,10,12,13],[2,3,7,9,10,12,14],[2,4,5,6,9,11,13],[2,4,5,10,11,12,14],[2,4,7,8,10,13,14],[2,5,7,8,9,12,13],[2,6,7,9,11,13,14],[3,4,5,9,10,11,14],[3,4,6,7,8,11,12],[3,4,6,9,12,13,14],[3,5,6,8,10,11,13],[3,5,7,8,11,12,14],[4,5,6,7,8,9,10]]; G[1899]:=Group([(1,2,3)(5,6,7)(8,10,9)(11,12,13)]); # Design 1900: autom. group order 3, simple, residual B[1900]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,7,14],[1,2,5,8,11,12,14],[1,2,6,8,9,11,13],[1,3,5,8,10,11,12],[1,3,7,10,12,13,14],[1,4,5,7,8,9,13],[1,4,6,10,11,13,14],[1,4,7,9,10,11,14],[1,5,6,9,10,12,13],[1,6,7,8,9,12,14],[2,3,6,9,11,13,14],[2,3,7,9,10,12,13],[2,4,5,6,9,10,12],[2,4,5,8,10,13,14],[2,4,7,8,12,13,14],[2,5,7,9,10,11,14],[2,6,7,8,10,11,12],[3,4,5,9,11,12,14],[3,4,6,7,8,10,11],[3,4,6,8,9,12,14],[3,5,6,8,10,13,14],[3,5,7,8,9,11,13],[4,5,6,7,11,12,13]]; G[1900]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,13,12)]); # Design 1901: autom. group order 3, simple, residual B[1901]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,9,13,14],[1,3,7,9,10,11,13],[1,4,5,7,8,12,13],[1,4,6,9,10,12,14],[1,4,7,10,11,13,14],[1,5,6,9,10,12,13],[1,6,7,8,11,12,14],[2,3,6,8,10,12,13],[2,3,7,9,10,12,14],[2,4,5,6,10,11,13],[2,4,5,9,11,12,14],[2,4,7,8,9,13,14],[2,5,7,10,12,13,14],[2,6,7,8,9,11,13],[3,4,5,8,10,11,14],[3,4,6,7,9,11,12],[3,4,6,8,12,13,14],[3,5,6,9,11,13,14],[3,5,7,8,10,11,12],[4,5,6,7,8,9,10]]; G[1901]:=Group([(1,2,3)(5,6,7)(8,10,9)(11,12,13)]); # Design 1902: autom. group order 3, simple, residual B[1902]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,9,11,12],[1,3,7,9,10,13,14],[1,4,5,7,8,12,13],[1,4,6,9,10,12,14],[1,4,7,10,11,12,14],[1,5,6,9,10,11,13],[1,6,7,8,11,13,14],[2,3,6,8,10,12,14],[2,3,7,9,10,11,13],[2,4,5,6,10,11,13],[2,4,5,9,12,13,14],[2,4,7,8,9,13,14],[2,5,7,10,11,12,14],[2,6,7,8,9,11,12],[3,4,5,8,10,11,14],[3,4,6,7,9,11,12],[3,4,6,8,11,13,14],[3,5,6,9,12,13,14],[3,5,7,8,10,12,13],[4,5,6,7,8,9,10]]; G[1902]:=Group([(1,2,3)(5,6,7)(8,10,9)(11,12,13)]); # Design 1903: autom. group order 3, simple, residual B[1903]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,13,14],[1,3,5,8,9,11,14],[1,3,7,9,10,12,13],[1,4,5,7,8,12,13],[1,4,6,9,11,13,14],[1,4,7,8,10,11,14],[1,5,6,9,10,12,13],[1,6,7,10,11,12,14],[2,3,6,8,10,11,13],[2,3,7,9,10,12,14],[2,4,5,6,10,11,12],[2,4,5,9,10,13,14],[2,4,7,8,12,13,14],[2,5,7,9,11,13,14],[2,6,7,8,9,11,12],[3,4,5,10,11,12,14],[3,4,6,7,9,11,13],[3,4,6,8,9,12,14],[3,5,6,8,12,13,14],[3,5,7,8,10,11,13],[4,5,6,7,8,9,10]]; G[1903]:=Group([(1,2,3)(5,6,7)(8,10,9)(11,13,12)]); # Design 1904: autom. group order 3, simple, residual B[1904]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,7,14],[1,2,5,8,11,12,14],[1,2,6,8,9,11,13],[1,3,5,8,10,12,13],[1,3,7,10,11,13,14],[1,4,5,7,8,9,11],[1,4,6,8,10,12,14],[1,4,7,9,12,13,14],[1,5,6,9,10,13,14],[1,6,7,9,10,11,12],[2,3,6,9,12,13,14],[2,3,7,9,10,11,12],[2,4,5,6,9,10,12],[2,4,5,10,11,13,14],[2,4,7,8,9,13,14],[2,5,7,8,10,12,13],[2,6,7,8,10,11,14],[3,4,5,9,10,11,14],[3,4,6,7,8,10,13],[3,4,6,8,11,12,14],[3,5,6,8,9,11,13],[3,5,7,8,9,12,14],[4,5,6,7,11,12,13]]; G[1904]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,12,13)]); # Design 1905: autom. group order 3, simple, residual B[1905]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,9,12,13],[1,3,5,8,10,11,12],[1,3,7,8,10,13,14],[1,4,5,7,9,12,13],[1,4,6,9,11,13,14],[1,4,7,9,10,12,14],[1,5,6,10,11,12,14],[1,6,7,8,10,11,13],[2,3,6,9,10,12,14],[2,3,7,9,10,11,13],[2,4,5,6,10,11,13],[2,4,5,8,10,13,14],[2,4,7,10,11,12,14],[2,5,7,8,9,11,12],[2,6,7,8,12,13,14],[3,4,5,8,12,13,14],[3,4,6,7,8,11,12],[3,4,6,8,9,11,14],[3,5,6,9,10,12,13],[3,5,7,9,11,13,14],[4,5,6,7,8,9,10]]; G[1905]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,12,13)]); # Design 1906: autom. group order 3, simple, residual B[1906]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,9,13,14],[1,3,5,8,10,11,14],[1,3,7,8,10,12,13],[1,4,5,7,9,11,12],[1,4,6,9,10,12,14],[1,4,7,10,11,13,14],[1,5,6,10,12,13,14],[1,6,7,8,9,11,13],[2,3,6,9,10,11,13],[2,3,7,9,10,12,14],[2,4,5,6,10,11,13],[2,4,5,8,12,13,14],[2,4,7,8,10,11,14],[2,5,7,9,10,12,13],[2,6,7,8,11,12,14],[3,4,5,8,9,13,14],[3,4,6,7,8,12,13],[3,4,6,9,11,12,14],[3,5,6,8,10,11,12],[3,5,7,9,11,13,14],[4,5,6,7,8,9,10]]; G[1906]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,13,12)]); # Design 1907: autom. group order 3, simple, residual B[1907]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,9,11,14],[1,3,5,8,10,13,14],[1,3,7,8,10,11,13],[1,4,5,7,10,11,12],[1,4,6,9,10,11,14],[1,4,7,9,12,13,14],[1,5,6,9,10,12,13],[1,6,7,8,12,13,14],[2,3,6,9,10,12,13],[2,3,7,9,10,12,14],[2,4,5,6,8,12,13],[2,4,5,10,11,13,14],[2,4,7,8,10,12,14],[2,5,7,9,11,13,14],[2,6,7,8,10,11,13],[3,4,5,8,9,13,14],[3,4,6,7,9,11,13],[3,4,6,8,11,12,14],[3,5,6,10,11,12,14],[3,5,7,8,9,11,12],[4,5,6,7,8,9,10]]; G[1907]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,12,13)]); # Design 1908: autom. group order 3, simple, residual B[1908]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,9,11,12],[1,3,5,8,10,12,13],[1,3,7,8,10,12,14],[1,4,5,7,10,11,13],[1,4,6,9,10,12,14],[1,4,7,9,12,13,14],[1,5,6,9,10,11,13],[1,6,7,8,11,13,14],[2,3,6,9,10,13,14],[2,3,7,9,10,11,13],[2,4,5,6,8,12,13],[2,4,5,10,11,12,14],[2,4,7,8,10,11,14],[2,5,7,9,12,13,14],[2,6,7,8,10,12,13],[3,4,5,8,9,13,14],[3,4,6,7,9,11,12],[3,4,6,8,11,13,14],[3,5,6,10,11,12,14],[3,5,7,8,9,11,12],[4,5,6,7,8,9,10]]; G[1908]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,13,12)]); # Design 1909: autom. group order 3, simple, residual B[1909]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,9,13,14],[1,3,5,8,10,11,14],[1,3,7,8,10,12,13],[1,4,5,7,10,11,13],[1,4,6,9,10,11,14],[1,4,7,9,12,13,14],[1,5,6,9,10,12,13],[1,6,7,8,11,12,14],[2,3,6,9,10,11,13],[2,3,7,9,10,12,14],[2,4,5,6,8,12,13],[2,4,5,10,11,12,14],[2,4,7,8,10,13,14],[2,5,7,9,11,13,14],[2,6,7,8,10,11,12],[3,4,5,8,9,12,14],[3,4,6,7,9,11,12],[3,4,6,8,11,13,14],[3,5,6,10,12,13,14],[3,5,7,8,9,11,13],[4,5,6,7,8,9,10]]; G[1909]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,13,12)]); # Design 1910: autom. group order 3, simple B[1910]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,11,12,13],[1,3,5,8,9,12,13],[1,3,7,9,10,12,14],[1,4,5,9,11,13,14],[1,4,6,10,12,13,14],[1,4,7,8,10,11,14],[1,5,6,8,10,11,12],[1,6,7,8,9,10,13],[2,3,6,7,10,13,14],[2,3,9,10,11,12,14],[2,4,5,6,9,10,12],[2,4,5,8,10,13,14],[2,4,7,8,9,12,13],[2,5,7,8,10,11,12],[2,6,8,9,11,13,14],[3,4,5,7,10,11,13],[3,4,6,7,8,9,11],[3,4,6,8,11,12,14],[3,5,6,9,10,11,13],[3,5,7,8,12,13,14],[4,5,6,7,9,12,14]]; G[1910]:=Group([(1,6,9)(2,4,14)(3,12,11)(8,10,13)]); # Design 1911: autom. group order 3, simple, residual B[1911]:=[[1,2,3,4,5,6,7],[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],[1,2,6,9,10,12,14],[1,3,5,8,9,12,13],[1,3,7,10,11,13,14],[1,4,5,7,8,11,12],[1,4,6,8,10,13,14],[1,4,7,9,12,13,14],[1,5,6,10,11,12,13],[1,6,7,8,9,11,14],[2,3,6,7,9,12,13],[2,3,7,8,11,13,14],[2,4,5,6,11,13,14],[2,4,5,7,10,12,14],[2,4,8,9,11,12,14],[2,5,8,9,10,11,13],[2,6,7,8,10,12,13],[3,4,5,9,10,13,14],[3,4,6,7,9,10,11],[3,4,6,8,10,11,12],[3,5,6,9,11,12,14],[3,5,7,8,10,12,14],[4,5,6,7,8,9,13]]; G[1911]:=Group([(1,4,9)(2,3,10)(5,6,11)(12,13,14)]); # Design 1912: autom. group order 3, simple, residual B[1912]:=[[1,2,3,4,5,6,7],[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],[1,3,5,10,11,13,14],[1,3,9,10,12,13,14],[1,4,5,7,9,10,11],[1,4,6,8,10,12,14],[1,4,7,8,11,12,13],[1,5,6,7,9,10,12],[1,6,7,8,9,13,14],[2,3,6,7,10,12,13],[2,3,7,8,9,10,11],[2,4,5,6,9,12,13],[2,4,5,9,10,13,14],[2,4,7,8,10,12,14],[2,5,8,9,11,12,14],[2,6,7,10,11,13,14],[3,4,5,7,8,13,14],[3,4,6,7,9,11,14],[3,4,6,9,11,12,14],[3,5,6,8,10,11,12],[3,5,7,8,9,12,13],[4,5,6,8,10,11,13]]; G[1912]:=Group([(1,2,8)(3,9,6)(4,11,14)(5,10,13)]); # Design 1913: autom. group order 3, simple, residual B[1913]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,11,13,14],[1,3,8,9,10,12,13],[1,4,5,8,10,12,14],[1,4,6,7,9,10,11],[1,4,7,8,11,13,14],[1,5,6,7,8,10,13],[1,6,7,9,12,13,14],[2,3,6,7,10,13,14],[2,3,7,8,9,11,14],[2,4,5,6,9,12,13],[2,4,5,9,10,13,14],[2,4,7,8,12,13,14],[2,5,7,8,10,11,12],[2,6,8,9,10,11,13],[3,4,5,7,10,11,13],[3,4,6,7,8,9,12],[3,4,6,10,11,12,14],[3,5,6,8,11,12,13],[3,5,7,9,10,12,14],[4,5,6,8,9,11,14]]; G[1913]:=Group([(1,4,12)(3,13,11)(6,9,7)(8,14,10)]); # Design 1914: autom. group order 3, simple, residual B[1914]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,10,11,14],[1,3,5,7,9,13,14],[1,3,9,10,11,12,14],[1,4,5,7,10,12,13],[1,4,6,8,12,13,14],[1,4,7,8,11,13,14],[1,5,6,7,9,10,12],[1,6,8,9,10,11,13],[2,3,6,10,12,13,14],[2,3,7,8,9,12,13],[2,4,5,6,9,13,14],[2,4,5,10,11,12,14],[2,4,7,8,9,10,14],[2,5,7,8,10,11,13],[2,6,7,9,11,12,13],[3,4,5,9,10,11,13],[3,4,6,7,8,10,12],[3,4,6,7,9,11,14],[3,5,6,8,10,13,14],[3,5,7,8,11,12,14],[4,5,6,8,9,11,12]]; G[1914]:=Group([(1,2,13)(3,12,4)(5,9,14)(6,7,8)]); # Design 1915: autom. group order 3, simple B[1915]:=[[1,2,3,4,5,6,7],[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],[1,2,6,9,11,12,13],[1,3,5,7,10,11,12],[1,3,7,9,10,13,14],[1,4,5,9,10,12,14],[1,4,6,7,8,10,13],[1,4,7,8,11,12,14],[1,5,6,7,9,12,13],[1,6,8,10,11,13,14],[2,3,6,7,10,12,14],[2,3,8,9,10,12,13],[2,4,5,6,10,11,13],[2,4,5,7,9,13,14],[2,4,7,8,12,13,14],[2,5,7,8,10,11,12],[2,6,7,9,10,11,14],[3,4,5,10,11,13,14],[3,4,6,7,8,9,11],[3,4,6,9,11,12,14],[3,5,6,8,12,13,14],[3,5,7,8,9,11,13],[4,5,6,8,9,10,12]]; G[1915]:=Group([(1,3,14)(2,6,8)(4,12,11)(7,13,9)]); # Design 1916: autom. group order 3, simple, residual B[1916]:=[[1,2,3,4,5,6,7],[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],[1,2,6,10,12,13,14],[1,3,5,9,10,12,14],[1,3,7,9,10,11,13],[1,4,5,7,10,12,13],[1,4,6,7,9,11,14],[1,4,7,8,11,12,14],[1,5,6,7,8,9,13],[1,6,8,10,11,13,14],[2,3,6,7,12,13,14],[2,3,7,9,10,11,14],[2,4,5,6,10,11,14],[2,4,5,7,9,13,14],[2,4,8,9,11,12,13],[2,5,7,8,10,11,13],[2,6,7,8,9,10,12],[3,4,5,8,10,13,14],[3,4,6,7,8,10,12],[3,4,6,8,9,13,14],[3,5,6,9,11,12,13],[3,5,7,8,11,12,14],[4,5,6,9,10,11,12]]; G[1916]:=Group([(1,4,10)(2,8,9)(5,13,7)(6,14,11)]); # Design 1917: autom. group order 3, simple, residual B[1917]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,11,12,14],[1,3,5,9,10,11,13],[1,3,7,9,10,12,14],[1,4,5,7,12,13,14],[1,4,6,10,11,13,14],[1,4,7,8,10,11,14],[1,5,6,8,9,10,13],[1,6,7,8,9,12,13],[2,3,6,7,10,13,14],[2,3,7,8,10,12,13],[2,4,5,8,9,13,14],[2,4,5,9,10,12,14],[2,4,6,7,9,10,11],[2,5,6,10,11,12,13],[2,7,8,9,11,13,14],[3,4,5,7,8,11,13],[3,4,6,8,9,11,12],[3,4,6,9,12,13,14],[3,5,6,7,9,11,14],[3,5,8,10,11,12,14],[4,5,6,7,8,10,12]]; G[1917]:=Group([(1,2,9)(3,4,10)(6,14,13)(7,12,11)]); # Design 1918: autom. group order 3, simple, residual B[1918]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,11,13,14],[1,3,7,8,10,11,13],[1,4,5,8,10,12,14],[1,4,6,7,9,10,12],[1,4,8,9,12,13,14],[1,5,6,7,12,13,14],[1,6,7,8,10,11,13],[2,3,6,8,9,12,13],[2,3,7,10,12,13,14],[2,4,5,7,9,10,13],[2,4,5,10,11,13,14],[2,4,6,7,8,13,14],[2,5,6,8,10,11,12],[2,7,8,9,11,12,14],[3,4,5,7,8,11,12],[3,4,6,7,9,11,14],[3,4,6,10,11,12,14],[3,5,6,9,10,12,13],[3,5,7,8,9,10,14],[4,5,6,8,9,11,13]]; G[1918]:=Group([(1,11,13)(2,4,12)(5,14,9)(7,10,8)]); # Design 1919: autom. group order 3, simple, residual B[1919]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,13,14],[1,3,5,7,10,13,14],[1,3,8,11,12,13,14],[1,4,5,9,10,11,14],[1,4,6,9,10,12,13],[1,4,7,8,10,11,14],[1,5,6,7,9,11,12],[1,6,7,8,10,12,13],[2,3,6,9,10,11,13],[2,3,7,9,10,12,14],[2,4,5,7,8,12,13],[2,4,5,7,10,11,13],[2,4,6,8,10,12,14],[2,5,6,10,11,12,14],[2,7,8,9,11,13,14],[3,4,5,9,12,13,14],[3,4,6,7,8,9,11],[3,4,6,7,11,12,14],[3,5,6,8,10,11,13],[3,5,7,8,9,10,12],[4,5,6,8,9,13,14]]; G[1919]:=Group([(1,3,10)(2,9,4)(5,7,14)(6,12,11)]); # Design 1920: autom. group order 3, simple, residual B[1920]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,10,11,12],[1,3,5,9,10,11,13],[1,3,7,8,9,12,13],[1,4,5,10,12,13,14],[1,4,6,7,9,12,14],[1,4,7,8,11,13,14],[1,5,6,7,9,10,13],[1,6,8,10,11,12,14],[2,3,6,7,10,13,14],[2,3,7,9,11,12,14],[2,4,5,7,8,12,13],[2,4,5,9,10,12,14],[2,4,6,8,10,11,13],[2,5,6,9,11,12,13],[2,7,8,9,10,13,14],[3,4,5,7,10,11,14],[3,4,6,8,9,10,12],[3,4,6,9,11,13,14],[3,5,6,8,12,13,14],[3,5,7,8,10,11,12],[4,5,6,7,8,9,11]]; G[1920]:=Group([(1,3,14)(2,6,8)(4,13,11)(7,12,9)]); # Design 1921: autom. group order 3, simple, residual B[1921]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,13,14],[1,3,5,9,10,11,14],[1,3,7,8,10,12,13],[1,4,5,9,12,13,14],[1,4,6,7,9,11,12],[1,4,7,9,10,13,14],[1,5,6,8,11,13,14],[1,6,7,8,10,11,12],[2,3,6,9,10,11,13],[2,3,7,8,9,12,14],[2,4,5,7,10,11,13],[2,4,5,8,10,12,14],[2,4,6,10,11,12,14],[2,5,7,8,9,11,13],[2,6,7,9,12,13,14],[3,4,5,6,8,12,13],[3,4,6,8,9,11,14],[3,4,7,8,11,13,14],[3,5,6,9,10,12,13],[3,5,7,10,11,12,14],[4,5,6,7,8,9,10]]; G[1921]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,13,12)]); # Design 1922: autom. group order 3, simple, residual B[1922]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,13,14],[1,3,5,9,10,11,14],[1,3,7,8,10,12,13],[1,4,5,9,12,13,14],[1,4,6,7,10,11,12],[1,4,7,9,10,13,14],[1,5,6,8,11,13,14],[1,6,7,8,9,11,12],[2,3,6,9,10,11,13],[2,3,7,8,9,12,14],[2,4,5,7,8,11,13],[2,4,5,8,10,12,14],[2,4,6,10,11,12,14],[2,5,7,9,10,11,13],[2,6,7,9,12,13,14],[3,4,5,6,9,12,13],[3,4,6,8,9,11,14],[3,4,7,8,11,13,14],[3,5,6,8,10,12,13],[3,5,7,10,11,12,14],[4,5,6,7,8,9,10]]; G[1922]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,13,12)]); # Design 1923: autom. group order 3, simple, residual B[1923]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,10,11,12],[1,3,7,8,10,13,14],[1,4,5,10,11,13,14],[1,4,6,7,9,11,13],[1,4,7,8,10,12,14],[1,5,6,9,12,13,14],[1,6,7,8,9,11,12],[2,3,6,9,10,12,14],[2,3,7,8,9,11,13],[2,4,5,7,10,11,12],[2,4,5,8,9,13,14],[2,4,6,8,11,12,14],[2,5,7,9,10,12,13],[2,6,7,10,11,13,14],[3,4,5,6,8,12,13],[3,4,6,9,10,11,14],[3,4,7,9,12,13,14],[3,5,6,8,10,11,13],[3,5,7,8,11,12,14],[4,5,6,7,8,9,10]]; G[1923]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,12,13)]); # Design 1924: autom. group order 3, simple, residual B[1924]:=[[1,2,3,4,5,6,7],[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],[1,3,5,10,12,13,14],[1,3,7,8,10,11,13],[1,4,5,9,12,13,14],[1,4,6,7,9,10,12],[1,4,7,8,9,13,14],[1,5,6,8,10,11,12],[1,6,7,9,10,11,14],[2,3,6,9,10,12,13],[2,3,7,9,11,12,14],[2,4,5,7,8,10,13],[2,4,5,9,10,11,14],[2,4,6,10,11,13,14],[2,5,7,8,10,12,14],[2,6,7,8,9,12,13],[3,4,5,6,8,9,11],[3,4,6,8,10,12,14],[3,4,7,8,11,12,14],[3,5,6,8,9,13,14],[3,5,7,9,10,11,13],[4,5,6,7,11,12,13]]; G[1924]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,12,13)]); # Design 1925: autom. group order 3, simple, residual B[1925]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,11,12],[1,3,5,9,10,12,13],[1,3,7,8,10,12,14],[1,4,5,9,10,11,14],[1,4,6,7,9,12,13],[1,4,7,8,11,13,14],[1,5,6,8,12,13,14],[1,6,7,9,10,11,13],[2,3,6,9,10,13,14],[2,3,7,8,9,11,13],[2,4,5,7,10,11,12],[2,4,5,9,12,13,14],[2,4,6,8,10,13,14],[2,5,7,8,10,12,13],[2,6,7,9,11,12,14],[3,4,5,6,8,11,13],[3,4,6,10,11,12,14],[3,4,7,8,9,12,14],[3,5,6,8,9,11,12],[3,5,7,10,11,13,14],[4,5,6,7,8,9,10]]; G[1925]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,13,12)]); # Design 1926: autom. group order 3, simple, residual B[1926]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,13,14],[1,3,5,9,10,11,14],[1,3,7,8,10,12,13],[1,4,5,9,10,13,14],[1,4,6,7,9,12,13],[1,4,7,8,11,13,14],[1,5,6,8,11,12,14],[1,6,7,9,10,11,12],[2,3,6,9,10,11,13],[2,3,7,8,9,12,14],[2,4,5,7,10,11,12],[2,4,5,9,12,13,14],[2,4,6,8,10,12,14],[2,5,7,8,10,11,13],[2,6,7,9,11,13,14],[3,4,5,6,8,11,13],[3,4,6,10,11,12,14],[3,4,7,8,9,11,14],[3,5,6,8,9,12,13],[3,5,7,10,12,13,14],[4,5,6,7,8,9,10]]; G[1926]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,13,12)]); # Design 1927: autom. group order 3, simple, residual B[1927]:=[[1,2,3,4,5,6,7],[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],[1,3,5,10,12,13,14],[1,3,7,8,10,11,13],[1,4,5,9,10,13,14],[1,4,6,7,8,10,12],[1,4,7,9,11,13,14],[1,5,6,8,9,12,14],[1,6,7,9,10,11,12],[2,3,6,9,10,12,13],[2,3,7,9,11,12,14],[2,4,5,7,8,9,13],[2,4,5,10,11,12,14],[2,4,6,8,10,11,14],[2,5,7,8,10,12,13],[2,6,7,9,10,13,14],[3,4,5,6,9,10,11],[3,4,6,8,12,13,14],[3,4,7,8,9,12,14],[3,5,6,8,9,11,13],[3,5,7,8,10,11,14],[4,5,6,7,11,12,13]]; G[1927]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,12,13)]); # Design 1928: autom. group order 3, simple, residual B[1928]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,13,14],[1,3,5,9,10,11,14],[1,3,7,8,10,12,13],[1,4,5,9,12,13,14],[1,4,6,7,8,11,12],[1,4,7,9,10,13,14],[1,5,6,8,11,13,14],[1,6,7,9,10,11,12],[2,3,6,9,10,11,13],[2,3,7,8,9,12,14],[2,4,5,7,9,11,13],[2,4,5,8,10,12,14],[2,4,6,10,11,12,14],[2,5,7,8,10,11,13],[2,6,7,9,12,13,14],[3,4,5,6,10,12,13],[3,4,6,8,9,11,14],[3,4,7,8,11,13,14],[3,5,6,8,9,12,13],[3,5,7,10,11,12,14],[4,5,6,7,8,9,10]]; G[1928]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,13,12)]); # Design 1929: autom. group order 3, simple, residual B[1929]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,10,13,14],[1,3,7,8,10,11,13],[1,4,5,9,10,12,14],[1,4,6,7,8,12,13],[1,4,7,10,11,12,14],[1,5,6,8,9,11,13],[1,6,7,9,12,13,14],[2,3,6,9,10,12,13],[2,3,7,8,9,12,14],[2,4,5,7,9,11,13],[2,4,5,8,12,13,14],[2,4,6,8,10,13,14],[2,5,7,10,11,13,14],[2,6,7,9,10,11,12],[3,4,5,6,10,11,12],[3,4,6,9,11,13,14],[3,4,7,8,9,11,14],[3,5,6,8,11,12,14],[3,5,7,8,10,12,13],[4,5,6,7,8,9,10]]; G[1929]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,12,13)]); # Design 1930: autom. group order 3, simple, residual B[1930]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,10,13,14],[1,3,7,8,10,11,13],[1,4,5,8,10,12,14],[1,4,6,7,10,12,13],[1,4,7,9,11,12,14],[1,5,6,9,11,13,14],[1,6,7,8,9,12,13],[2,3,6,9,10,12,13],[2,3,7,8,9,12,14],[2,4,5,7,8,11,13],[2,4,5,10,12,13,14],[2,4,6,8,9,13,14],[2,5,7,9,10,11,13],[2,6,7,10,11,12,14],[3,4,5,6,9,11,12],[3,4,6,8,11,13,14],[3,4,7,9,10,11,14],[3,5,6,8,10,11,12],[3,5,7,8,12,13,14],[4,5,6,7,8,9,10]]; G[1930]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,12,13)]); # Design 1931: autom. group order 3, simple, residual B[1931]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,10,12,14],[1,3,7,8,10,12,13],[1,4,5,8,10,13,14],[1,4,6,7,10,11,12],[1,4,7,9,11,13,14],[1,5,6,9,11,13,14],[1,6,7,8,9,12,13],[2,3,6,9,10,11,13],[2,3,7,8,9,13,14],[2,4,5,7,8,11,13],[2,4,5,10,12,13,14],[2,4,6,8,9,12,14],[2,5,7,9,10,11,12],[2,6,7,10,12,13,14],[3,4,5,6,9,12,13],[3,4,6,8,11,12,14],[3,4,7,9,10,11,14],[3,5,6,8,10,11,13],[3,5,7,8,11,12,14],[4,5,6,7,8,9,10]]; G[1931]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,13,12)]); # Design 1932: autom. group order 3, simple, residual B[1932]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,10,12,14],[1,3,7,8,10,12,13],[1,4,5,8,9,13,14],[1,4,6,7,9,11,12],[1,4,7,9,11,13,14],[1,5,6,8,10,11,13],[1,6,7,10,12,13,14],[2,3,6,9,10,11,13],[2,3,7,8,9,13,14],[2,4,5,7,10,11,13],[2,4,5,10,12,13,14],[2,4,6,9,10,12,14],[2,5,7,8,11,12,14],[2,6,7,8,9,12,13],[3,4,5,6,8,12,13],[3,4,6,8,11,12,14],[3,4,7,8,10,11,14],[3,5,6,9,11,13,14],[3,5,7,9,10,11,12],[4,5,6,7,8,9,10]]; G[1932]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,13,12)]); # Design 1933: autom. group order 3, simple, residual B[1933]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,10,12,14],[1,3,7,8,10,12,13],[1,4,5,8,9,13,14],[1,4,6,7,10,12,13],[1,4,7,9,11,13,14],[1,5,6,8,10,11,13],[1,6,7,9,11,12,14],[2,3,6,9,10,11,13],[2,3,7,8,9,13,14],[2,4,5,7,8,11,12],[2,4,5,10,12,13,14],[2,4,6,9,10,12,14],[2,5,7,10,11,13,14],[2,6,7,8,9,12,13],[3,4,5,6,9,11,13],[3,4,6,8,11,12,14],[3,4,7,8,10,11,14],[3,5,6,8,12,13,14],[3,5,7,9,10,11,12],[4,5,6,7,8,9,10]]; G[1933]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,13,12)]); # Design 1934: autom. group order 3, simple, residual B[1934]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,9,13,14],[1,3,7,9,10,11,13],[1,4,5,9,10,12,14],[1,4,6,7,10,12,13],[1,4,7,8,11,12,14],[1,5,6,10,11,13,14],[1,6,7,8,9,12,13],[2,3,6,8,10,12,13],[2,3,7,9,10,12,14],[2,4,5,7,9,11,13],[2,4,5,10,12,13,14],[2,4,6,8,9,13,14],[2,5,7,8,10,11,13],[2,6,7,9,11,12,14],[3,4,5,6,8,11,12],[3,4,6,9,11,13,14],[3,4,7,8,10,11,14],[3,5,6,9,10,11,12],[3,5,7,8,12,13,14],[4,5,6,7,8,9,10]]; G[1934]:=Group([(1,2,3)(5,6,7)(8,10,9)(11,12,13)]); # Design 1935: autom. group order 3, simple, residual B[1935]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,13,14],[1,3,5,8,9,11,14],[1,3,7,9,10,12,13],[1,4,5,9,10,13,14],[1,4,6,7,10,11,12],[1,4,7,8,11,13,14],[1,5,6,10,11,12,14],[1,6,7,8,9,12,13],[2,3,6,8,10,11,13],[2,3,7,9,10,12,14],[2,4,5,7,9,11,13],[2,4,5,10,12,13,14],[2,4,6,8,9,12,14],[2,5,7,8,10,11,12],[2,6,7,9,11,13,14],[3,4,5,6,8,12,13],[3,4,6,9,11,12,14],[3,4,7,8,10,11,14],[3,5,6,9,10,11,13],[3,5,7,8,12,13,14],[4,5,6,7,8,9,10]]; G[1935]:=Group([(1,2,3)(5,6,7)(8,10,9)(11,13,12)]); # Design 1936: autom. group order 3, simple, residual B[1936]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,11,12],[1,3,5,8,9,12,13],[1,3,7,9,10,12,14],[1,4,5,10,12,13,14],[1,4,6,7,10,11,13],[1,4,7,8,9,11,14],[1,5,6,9,10,11,13],[1,6,7,8,12,13,14],[2,3,6,8,10,13,14],[2,3,7,9,10,11,13],[2,4,5,7,9,12,13],[2,4,5,8,10,13,14],[2,4,6,9,11,12,14],[2,5,7,10,11,12,14],[2,6,7,8,9,12,13],[3,4,5,6,8,11,12],[3,4,6,9,10,12,14],[3,4,7,8,11,13,14],[3,5,6,9,11,13,14],[3,5,7,8,10,11,12],[4,5,6,7,8,9,10]]; G[1936]:=Group([(1,2,3)(5,6,7)(8,10,9)(11,13,12)]); # Design 1937: autom. group order 3, simple, residual B[1937]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,7,14],[1,2,5,8,11,12,14],[1,2,6,8,9,11,13],[1,3,5,8,10,11,12],[1,3,7,10,12,13,14],[1,4,5,9,12,13,14],[1,4,6,7,8,9,12],[1,4,7,9,10,11,14],[1,5,6,9,10,13,14],[1,6,7,8,10,11,13],[2,3,6,9,11,13,14],[2,3,7,9,10,12,13],[2,4,5,7,9,10,11],[2,4,5,8,10,13,14],[2,4,6,10,11,12,14],[2,5,7,8,9,12,13],[2,6,7,8,10,12,14],[3,4,5,6,8,10,13],[3,4,6,8,9,12,14],[3,4,7,8,11,13,14],[3,5,6,9,10,11,12],[3,5,7,8,9,11,14],[4,5,6,7,11,12,13]]; G[1937]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,13,12)]); # Design 1938: autom. group order 3, simple, residual B[1938]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,7,14],[1,2,5,8,11,12,14],[1,2,6,8,9,11,13],[1,3,5,8,10,12,13],[1,3,7,10,11,13,14],[1,4,5,9,11,13,14],[1,4,6,7,8,10,11],[1,4,7,9,10,12,14],[1,5,6,9,10,12,14],[1,6,7,8,9,12,13],[2,3,6,9,12,13,14],[2,3,7,9,10,11,12],[2,4,5,7,8,9,12],[2,4,5,8,10,13,14],[2,4,6,10,11,12,14],[2,5,7,9,10,11,13],[2,6,7,8,10,13,14],[3,4,5,6,9,10,13],[3,4,6,8,9,11,14],[3,4,7,8,12,13,14],[3,5,6,8,10,11,12],[3,5,7,8,9,11,14],[4,5,6,7,11,12,13]]; G[1938]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,12,13)]); # Design 1939: autom. group order 3, simple, residual B[1939]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,11,12],[1,3,5,8,9,12,13],[1,3,7,9,10,12,14],[1,4,5,10,12,13,14],[1,4,6,7,8,11,13],[1,4,7,9,10,11,14],[1,5,6,10,11,13,14],[1,6,7,8,9,12,13],[2,3,6,8,10,13,14],[2,3,7,9,10,11,13],[2,4,5,7,10,12,13],[2,4,5,8,9,13,14],[2,4,6,9,11,12,14],[2,5,7,8,10,11,12],[2,6,7,9,12,13,14],[3,4,5,6,9,11,12],[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],[4,5,6,7,8,9,10]]; G[1939]:=Group([(1,2,3)(5,6,7)(8,10,9)(11,13,12)]); # Design 1940: autom. group order 3, simple, residual B[1940]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,7,14],[1,2,5,8,11,12,14],[1,2,6,8,9,11,13],[1,3,5,8,10,12,13],[1,3,7,10,11,13,14],[1,4,5,9,10,13,14],[1,4,6,7,8,9,13],[1,4,7,8,11,12,14],[1,5,6,9,10,11,12],[1,6,7,9,10,12,14],[2,3,6,9,12,13,14],[2,3,7,9,10,11,12],[2,4,5,7,9,10,11],[2,4,5,9,12,13,14],[2,4,6,8,10,11,14],[2,5,7,8,10,13,14],[2,6,7,8,10,12,13],[3,4,5,6,8,10,12],[3,4,6,10,11,13,14],[3,4,7,8,9,12,14],[3,5,6,8,9,11,14],[3,5,7,8,9,11,13],[4,5,6,7,11,12,13]]; G[1940]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,12,13)]); # Design 1941: autom. group order 3, simple, residual B[1941]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,9,13,14],[1,3,7,9,10,11,13],[1,4,5,9,10,12,14],[1,4,6,7,8,12,13],[1,4,7,8,11,12,14],[1,5,6,10,11,13,14],[1,6,7,9,10,12,13],[2,3,6,8,10,12,13],[2,3,7,9,10,12,14],[2,4,5,7,10,11,13],[2,4,5,10,12,13,14],[2,4,6,8,9,13,14],[2,5,7,8,9,11,13],[2,6,7,9,11,12,14],[3,4,5,6,9,11,12],[3,4,6,9,11,13,14],[3,4,7,8,10,11,14],[3,5,6,8,10,11,12],[3,5,7,8,12,13,14],[4,5,6,7,8,9,10]]; G[1941]:=Group([(1,2,3)(5,6,7)(8,10,9)(11,12,13)]); # Design 1942: autom. group order 3, simple, residual B[1942]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,9,13,14],[1,3,7,9,10,11,13],[1,4,5,10,12,13,14],[1,4,6,7,8,11,13],[1,4,7,8,9,12,14],[1,5,6,9,10,11,12],[1,6,7,10,12,13,14],[2,3,6,8,10,12,13],[2,3,7,9,10,12,14],[2,4,5,7,10,11,12],[2,4,5,8,10,13,14],[2,4,6,9,11,13,14],[2,5,7,9,11,13,14],[2,6,7,8,9,12,13],[3,4,5,6,9,12,13],[3,4,6,9,10,11,14],[3,4,7,8,11,12,14],[3,5,6,8,11,12,14],[3,5,7,8,10,11,13],[4,5,6,7,8,9,10]]; G[1942]:=Group([(1,2,3)(5,6,7)(8,10,9)(11,12,13)]); # Design 1943: autom. group order 3, simple, residual B[1943]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,9,13,14],[1,3,7,9,10,11,13],[1,4,5,8,10,12,14],[1,4,6,7,9,12,13],[1,4,7,10,11,12,14],[1,5,6,9,10,11,13],[1,6,7,8,12,13,14],[2,3,6,8,10,12,13],[2,3,7,9,10,12,14],[2,4,5,7,8,11,13],[2,4,5,9,12,13,14],[2,4,6,9,10,13,14],[2,5,7,10,11,13,14],[2,6,7,8,9,11,12],[3,4,5,6,10,11,12],[3,4,6,8,11,13,14],[3,4,7,8,9,11,14],[3,5,6,9,11,12,14],[3,5,7,8,10,12,13],[4,5,6,7,8,9,10]]; G[1943]:=Group([(1,2,3)(5,6,7)(8,10,9)(11,12,13)]); # Design 1944: autom. group order 3, simple, residual B[1944]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,9,13,14],[1,3,7,9,10,11,13],[1,4,5,8,10,12,14],[1,4,6,7,8,12,13],[1,4,7,10,11,12,14],[1,5,6,9,10,11,13],[1,6,7,9,12,13,14],[2,3,6,8,10,12,13],[2,3,7,9,10,12,14],[2,4,5,7,10,11,13],[2,4,5,9,12,13,14],[2,4,6,9,10,13,14],[2,5,7,8,11,13,14],[2,6,7,8,9,11,12],[3,4,5,6,9,11,12],[3,4,6,8,11,13,14],[3,4,7,8,9,11,14],[3,5,6,10,11,12,14],[3,5,7,8,10,12,13],[4,5,6,7,8,9,10]]; G[1944]:=Group([(1,2,3)(5,6,7)(8,10,9)(11,12,13)]); # Design 1945: autom. group order 3, simple, residual B[1945]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,11,12],[1,3,5,8,9,12,13],[1,3,7,9,10,12,14],[1,4,5,8,10,13,14],[1,4,6,7,8,11,12],[1,4,7,10,12,13,14],[1,5,6,9,10,11,13],[1,6,7,9,11,13,14],[2,3,6,8,10,13,14],[2,3,7,9,10,11,13],[2,4,5,7,10,11,13],[2,4,5,9,11,12,14],[2,4,6,9,10,12,14],[2,5,7,8,12,13,14],[2,6,7,8,9,12,13],[3,4,5,6,9,12,13],[3,4,6,8,11,13,14],[3,4,7,8,9,11,14],[3,5,6,10,11,12,14],[3,5,7,8,10,11,12],[4,5,6,7,8,9,10]]; G[1945]:=Group([(1,2,3)(5,6,7)(8,10,9)(11,13,12)]); # Design 1946: autom. group order 3, simple, residual B[1946]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,9,11,14],[1,3,5,8,10,13,14],[1,3,7,8,10,11,13],[1,4,5,9,10,12,14],[1,4,6,7,9,12,13],[1,4,7,10,11,12,14],[1,5,6,9,10,11,13],[1,6,7,8,12,13,14],[2,3,6,9,10,12,13],[2,3,7,9,10,12,14],[2,4,5,7,10,11,13],[2,4,5,8,12,13,14],[2,4,6,8,10,13,14],[2,5,7,9,11,13,14],[2,6,7,8,10,11,12],[3,4,5,6,8,11,12],[3,4,6,9,11,13,14],[3,4,7,8,9,11,14],[3,5,6,10,11,12,14],[3,5,7,8,9,12,13],[4,5,6,7,8,9,10]]; G[1946]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,12,13)]); # Design 1947: autom. group order 3, simple, residual B[1947]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,9,12,13],[1,3,5,8,10,11,12],[1,3,7,8,10,13,14],[1,4,5,9,10,12,14],[1,4,6,7,9,11,13],[1,4,7,10,12,13,14],[1,5,6,9,10,11,13],[1,6,7,8,11,12,14],[2,3,6,9,10,12,14],[2,3,7,9,10,11,13],[2,4,5,7,10,11,12],[2,4,5,8,11,13,14],[2,4,6,8,10,13,14],[2,5,7,9,12,13,14],[2,6,7,8,10,11,12],[3,4,5,6,8,12,13],[3,4,6,9,11,12,14],[3,4,7,8,9,11,14],[3,5,6,10,11,13,14],[3,5,7,8,9,12,13],[4,5,6,7,8,9,10]]; G[1947]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,12,13)]); # Design 1948: autom. group order 3, simple, residual B[1948]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,9,13,14],[1,3,5,8,10,11,14],[1,3,7,8,10,12,13],[1,4,5,9,10,13,14],[1,4,6,7,9,12,13],[1,4,7,10,11,13,14],[1,5,6,9,10,11,12],[1,6,7,8,11,12,14],[2,3,6,9,10,11,13],[2,3,7,9,10,12,14],[2,4,5,7,10,11,12],[2,4,5,8,12,13,14],[2,4,6,8,10,12,14],[2,5,7,9,11,13,14],[2,6,7,8,10,11,13],[3,4,5,6,8,11,13],[3,4,6,9,11,12,14],[3,4,7,8,9,11,14],[3,5,6,10,12,13,14],[3,5,7,8,9,12,13],[4,5,6,7,8,9,10]]; G[1948]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,13,12)]); # Design 1949: autom. group order 3, simple, residual B[1949]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,9,12,13],[1,3,5,8,10,11,12],[1,3,7,8,10,13,14],[1,4,5,9,10,12,14],[1,4,6,7,9,11,12],[1,4,7,8,12,13,14],[1,5,6,10,11,13,14],[1,6,7,9,10,11,13],[2,3,6,9,10,12,14],[2,3,7,9,10,11,13],[2,4,5,7,10,12,13],[2,4,5,9,11,13,14],[2,4,6,8,10,13,14],[2,5,7,8,10,11,12],[2,6,7,8,11,12,14],[3,4,5,6,8,11,13],[3,4,6,10,11,12,14],[3,4,7,8,9,11,14],[3,5,6,8,9,12,13],[3,5,7,9,12,13,14],[4,5,6,7,8,9,10]]; G[1949]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,12,13)]); # Design 1950: autom. group order 3, simple, residual B[1950]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,9,13,14],[1,3,5,8,10,11,14],[1,3,7,8,10,12,13],[1,4,5,10,12,13,14],[1,4,6,7,9,11,12],[1,4,7,8,9,13,14],[1,5,6,9,10,11,13],[1,6,7,10,11,12,14],[2,3,6,9,10,11,13],[2,3,7,9,10,12,14],[2,4,5,7,10,11,13],[2,4,5,9,10,12,14],[2,4,6,8,11,12,14],[2,5,7,8,11,13,14],[2,6,7,8,10,12,13],[3,4,5,6,8,12,13],[3,4,6,8,10,11,14],[3,4,7,9,11,13,14],[3,5,6,9,12,13,14],[3,5,7,8,9,11,12],[4,5,6,7,8,9,10]]; G[1950]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,13,12)]); # Design 1951: autom. group order 3, simple, residual B[1951]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,9,11,12],[1,3,5,8,10,12,13],[1,3,7,8,10,12,14],[1,4,5,9,12,13,14],[1,4,6,7,8,11,13],[1,4,7,9,10,11,14],[1,5,6,10,11,13,14],[1,6,7,9,10,12,13],[2,3,6,9,10,13,14],[2,3,7,9,10,11,13],[2,4,5,7,9,12,13],[2,4,5,8,10,13,14],[2,4,6,10,11,12,14],[2,5,7,8,10,11,12],[2,6,7,8,12,13,14],[3,4,5,6,10,11,12],[3,4,6,8,9,12,14],[3,4,7,8,11,13,14],[3,5,6,8,9,11,13],[3,5,7,9,11,12,14],[4,5,6,7,8,9,10]]; G[1951]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,13,12)]); # Design 1952: autom. group order 3, simple, residual B[1952]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,9,11,14],[1,3,5,8,10,13,14],[1,3,7,8,10,11,13],[1,4,5,9,10,12,14],[1,4,6,7,8,12,13],[1,4,7,10,11,12,14],[1,5,6,9,10,11,13],[1,6,7,9,12,13,14],[2,3,6,9,10,12,13],[2,3,7,9,10,12,14],[2,4,5,7,9,11,13],[2,4,5,8,12,13,14],[2,4,6,8,10,13,14],[2,5,7,10,11,13,14],[2,6,7,8,10,11,12],[3,4,5,6,10,11,12],[3,4,6,9,11,13,14],[3,4,7,8,9,11,14],[3,5,6,8,11,12,14],[3,5,7,8,9,12,13],[4,5,6,7,8,9,10]]; G[1952]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,12,13)]); # Design 1953: autom. group order 3, simple, residual B[1953]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,12,13],[1,3,5,7,10,11,12],[1,3,8,9,11,12,14],[1,4,5,7,8,9,13],[1,4,6,9,11,13,14],[1,4,7,10,12,13,14],[1,5,6,10,11,13,14],[1,6,7,8,9,10,12],[2,3,6,9,10,11,13],[2,3,7,9,12,13,14],[2,4,5,8,12,13,14],[2,4,5,9,10,11,12],[2,4,6,7,9,10,14],[2,5,7,8,10,11,13],[2,6,7,8,11,12,14],[3,4,5,6,10,12,14],[3,4,6,7,8,11,13],[3,4,7,8,10,11,14],[3,5,6,7,9,12,13],[3,5,8,9,10,13,14],[4,5,6,8,9,11,12]]; G[1953]:=Group([(2,10,14)(3,12,11)(4,7,9)(5,8,13)]); # Design 1954: autom. group order 3, simple B[1954]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,12,13,14],[1,3,7,8,10,11,13],[1,4,5,8,10,12,13],[1,4,6,10,11,12,14],[1,4,7,9,10,11,14],[1,5,6,7,9,10,13],[1,6,7,8,9,12,14],[2,3,6,7,10,11,12],[2,3,7,9,10,13,14],[2,4,5,7,8,10,14],[2,4,5,9,11,13,14],[2,4,6,7,9,12,13],[2,5,8,9,10,11,12],[2,6,8,10,12,13,14],[3,4,5,6,9,10,12],[3,4,6,8,9,11,14],[3,4,7,8,12,13,14],[3,5,6,10,11,13,14],[3,5,7,8,9,11,12],[4,5,6,7,8,11,13]]; G[1954]:=Group([(1,5,11)(2,12,14)(3,9,4)(6,8,10)]); # Design 1955: autom. group order 3, simple, residual B[1955]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,9,10,12],[1,3,8,10,11,12,14],[1,4,5,9,10,13,14],[1,4,6,8,9,12,13],[1,4,7,10,11,13,14],[1,5,6,7,8,10,11],[1,6,7,8,9,12,13],[2,3,6,9,10,11,13],[2,3,7,8,9,13,14],[2,4,5,7,8,10,13],[2,4,5,7,9,11,12],[2,4,6,8,10,11,12],[2,5,8,10,12,13,14],[2,6,7,9,10,12,14],[3,4,5,6,12,13,14],[3,4,6,7,10,12,14],[3,4,7,8,9,11,14],[3,5,6,9,10,11,13],[3,5,7,8,11,12,13],[4,5,6,8,9,11,14]]; G[1955]:=Group([(1,8,12)(3,10,11)(6,13,9)]); # Design 1956: autom. group order 3, simple, residual B[1956]:=[[1,2,3,4,5,6,7],[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],[1,2,6,9,10,12,13],[1,3,5,7,11,12,13],[1,3,7,9,10,11,14],[1,4,5,7,8,9,12],[1,4,6,8,10,11,13],[1,4,7,8,10,12,14],[1,5,6,9,12,13,14],[1,6,7,8,11,13,14],[2,3,6,7,8,9,13],[2,3,7,10,12,13,14],[2,4,5,7,10,13,14],[2,4,5,8,11,13,14],[2,4,6,9,11,12,14],[2,5,7,8,9,11,12],[2,6,7,8,10,11,12],[3,4,5,6,10,11,12],[3,4,6,7,9,11,14],[3,4,8,9,12,13,14],[3,5,6,8,10,12,14],[3,5,8,9,10,11,13],[4,5,6,7,9,10,13]]; G[1956]:=Group([(2,4,10)(3,8,9)(5,7,14)(6,12,11)]); # Design 1957: autom. group order 3, simple B[1957]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,12,13],[1,3,5,7,10,11,12],[1,3,8,9,11,12,14],[1,4,5,7,8,9,13],[1,4,6,9,11,13,14],[1,4,7,10,12,13,14],[1,5,6,10,11,13,14],[1,6,7,8,9,10,12],[2,3,6,7,12,13,14],[2,3,7,9,10,13,14],[2,4,5,8,11,12,13],[2,4,5,9,10,12,14],[2,4,7,8,10,11,14],[2,5,6,9,10,11,12],[2,6,7,8,9,11,13],[3,4,5,6,9,10,13],[3,4,6,7,9,11,12],[3,4,6,8,10,11,14],[3,5,7,8,10,11,13],[3,5,8,9,12,13,14],[4,5,6,7,8,12,14]]; G[1957]:=Group([(2,10,14)(3,12,11)(4,7,9)(5,8,13)]); # Design 1958: autom. group order 3, simple B[1958]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,10,13,14],[1,3,7,8,9,10,11],[1,4,5,10,12,13,14],[1,4,6,7,8,13,14],[1,4,7,8,9,12,13],[1,5,6,7,10,11,13],[1,6,8,9,11,12,14],[2,3,6,8,10,12,13],[2,3,7,9,11,13,14],[2,4,5,7,8,11,14],[2,4,5,7,9,10,12],[2,4,8,10,11,13,14],[2,5,6,8,9,12,13],[2,6,7,9,10,13,14],[3,4,5,6,9,11,13],[3,4,6,7,9,12,14],[3,4,6,10,11,12,14],[3,5,7,8,10,12,14],[3,5,7,8,11,12,13],[4,5,6,8,9,10,11]]; G[1958]:=Group([(2,4,12)(3,13,11)(5,7,9)(6,8,14)]); # Design 1959: autom. group order 3, simple, residual B[1959]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,8,11,12,14],[1,2,6,9,10,11,13],[1,3,5,7,9,10,12],[1,3,7,9,12,13,14],[1,4,5,8,10,12,13],[1,4,6,9,12,13,14],[1,4,7,8,10,11,14],[1,5,6,7,9,11,14],[1,6,7,8,10,11,13],[2,3,7,8,9,11,13],[2,3,7,10,11,12,14],[2,4,5,7,10,13,14],[2,4,5,9,11,13,14],[2,4,6,7,8,9,12],[2,5,6,7,10,12,13],[2,6,8,9,10,12,14],[3,4,5,6,9,10,11],[3,4,6,7,8,13,14],[3,4,6,10,11,12,14],[3,5,6,8,11,12,13],[3,5,8,9,10,13,14],[4,5,7,8,9,11,12]]; G[1959]:=Group([(2,10,12)(3,8,13)(5,11,9)(6,7,14)]); # Design 1960: autom. group order 3, simple, residual B[1960]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,10,11,12],[1,3,5,7,9,13,14],[1,3,6,7,9,10,11],[1,4,5,10,12,13,14],[1,4,6,7,9,12,13],[1,4,6,8,10,13,14],[1,5,8,9,10,11,13],[1,6,7,8,11,12,14],[2,3,7,10,11,13,14],[2,3,8,9,12,13,14],[2,4,5,6,10,11,14],[2,4,5,7,9,10,12],[2,4,6,8,9,11,13],[2,5,6,7,8,12,13],[2,6,7,9,10,13,14],[3,4,5,7,8,11,13],[3,4,6,9,11,12,14],[3,4,7,8,10,12,14],[3,5,6,8,9,10,12],[3,5,6,10,11,12,13],[4,5,7,8,9,11,14]]; G[1960]:=Group([(2,4,12)(3,13,11)(5,10,7)(6,14,8)]); # Design 1961: autom. group order 3, simple, residual B[1961]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,10,11,12],[1,3,5,7,10,12,13],[1,3,6,8,9,11,13],[1,4,5,8,9,12,14],[1,4,6,8,10,11,12],[1,4,7,9,10,13,14],[1,5,6,10,11,13,14],[1,6,7,8,12,13,14],[2,3,6,9,10,12,14],[2,3,7,8,10,13,14],[2,4,5,6,10,12,13],[2,4,5,7,8,11,13],[2,4,6,9,11,13,14],[2,5,8,10,11,12,14],[2,6,7,8,9,12,13],[3,4,5,9,12,13,14],[3,4,6,7,10,11,14],[3,4,7,8,11,12,14],[3,5,6,7,9,11,12],[3,5,8,9,10,11,13],[4,5,6,7,8,9,10]]; G[1961]:=Group([(1,8,14)(2,13,4)(3,7,9)(5,6,12)]); # Design 1962: autom. group order 3, simple, residual B[1962]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,10,11,13],[1,3,5,8,9,11,12],[1,3,6,7,10,13,14],[1,4,5,7,9,10,14],[1,4,6,8,9,11,13],[1,4,7,8,12,13,14],[1,5,6,9,10,12,13],[1,6,8,10,11,12,14],[2,3,6,7,9,12,13],[2,3,8,10,12,13,14],[2,4,5,6,10,11,12],[2,4,5,8,9,13,14],[2,4,6,9,10,12,14],[2,5,7,8,10,11,13],[2,6,7,8,9,11,14],[3,4,5,10,11,13,14],[3,4,6,7,8,10,11],[3,4,7,9,11,12,14],[3,5,6,9,11,13,14],[3,5,7,8,9,10,12],[4,5,6,7,8,12,13]]; G[1962]:=Group([(1,9,14)(2,12,13)(4,7,10)(6,8,11)]); # Design 1963: autom. group order 3, simple, residual B[1963]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,8,14],[1,2,5,7,9,10,14],[1,2,7,8,9,11,12],[1,3,5,9,10,11,13],[1,3,6,7,10,12,13],[1,4,5,8,10,12,13],[1,4,6,7,8,11,14],[1,4,7,9,11,13,14],[1,5,6,10,11,12,14],[1,6,8,9,12,13,14],[2,3,6,9,12,13,14],[2,3,7,10,11,12,14],[2,4,5,6,9,11,13],[2,4,5,7,12,13,14],[2,4,6,8,10,11,12],[2,5,8,10,11,13,14],[2,6,7,8,9,10,13],[3,4,5,8,9,12,14],[3,4,6,9,10,11,14],[3,4,7,8,10,13,14],[3,5,6,7,8,11,13],[3,5,7,8,9,11,12],[4,5,6,7,9,10,12]]; G[1963]:=Group([(1,6,14)(2,13,4)(3,9,7)(5,12,11)]); # Design 1964: autom. group order 3, simple B[1964]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,10,12,13],[1,3,6,7,11,12,14],[1,4,5,9,10,11,14],[1,4,6,8,12,13,14],[1,4,7,8,9,11,13],[1,5,6,8,10,11,13],[1,6,7,8,9,10,12],[2,3,6,7,9,10,13],[2,3,8,9,11,13,14],[2,4,5,6,9,12,13],[2,4,5,8,10,12,14],[2,4,6,7,8,10,11],[2,5,7,8,11,12,13],[2,6,9,10,11,12,14],[3,4,5,7,10,11,12],[3,4,6,10,11,13,14],[3,4,7,8,9,12,14],[3,5,6,8,9,11,12],[3,5,7,8,10,13,14],[4,5,6,7,9,13,14]]; G[1964]:=Group([(1,6,9)(2,4,14)(3,13,11)(8,12,10)]); # Design 1965: autom. group order 3, simple B[1965]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,9,12,13],[1,3,6,7,10,11,14],[1,4,5,9,11,12,14],[1,4,6,10,12,13,14],[1,4,7,8,9,11,13],[1,5,6,8,10,11,13],[1,6,7,8,9,10,12],[2,3,6,7,9,12,13],[2,3,9,10,11,13,14],[2,4,5,6,9,10,13],[2,4,5,8,10,12,14],[2,4,6,7,8,11,12],[2,5,7,8,10,11,13],[2,6,8,9,11,12,14],[3,4,5,7,10,11,12],[3,4,6,8,11,13,14],[3,4,7,8,9,10,14],[3,5,6,9,10,11,12],[3,5,7,8,12,13,14],[4,5,6,7,9,13,14]]; G[1965]:=Group([(1,6,9)(2,4,14)(3,13,11)(8,10,12)]); # Design 1966: autom. group order 3, simple, residual B[1966]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,11,12,13],[1,3,5,8,10,12,13],[1,3,6,7,10,11,14],[1,4,5,9,10,12,14],[1,4,6,9,10,11,13],[1,4,7,8,9,12,14],[1,5,6,8,9,11,13],[1,6,7,10,12,13,14],[2,3,6,9,10,11,12],[2,3,7,9,10,13,14],[2,4,5,6,12,13,14],[2,4,5,10,11,13,14],[2,4,6,7,8,10,12],[2,5,7,8,9,10,13],[2,6,8,9,11,12,14],[3,4,5,7,9,11,12],[3,4,6,8,9,13,14],[3,4,7,8,11,13,14],[3,5,6,7,9,12,13],[3,5,8,10,11,12,14],[4,5,6,7,8,10,11]]; G[1966]:=Group([(1,2,9)(3,10,4)(5,7,14)(6,13,12)]); # Design 1967: autom. group order 3, simple B[1967]:=[[1,2,3,4,5,6,7],[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],[1,3,5,10,11,13,14],[1,3,6,7,9,13,14],[1,4,5,10,11,12,14],[1,4,6,9,10,12,13],[1,4,7,8,9,13,14],[1,5,6,8,9,10,12],[1,6,7,8,11,12,14],[2,3,6,9,11,12,13],[2,3,8,9,10,12,14],[2,4,5,6,10,13,14],[2,4,5,7,9,12,14],[2,4,6,7,8,10,11],[2,5,8,9,11,13,14],[2,6,7,10,12,13,14],[3,4,5,7,8,12,13],[3,4,6,8,11,12,14],[3,4,7,9,10,11,14],[3,5,6,7,9,10,11],[3,5,7,8,10,12,13],[4,5,6,8,9,11,13]]; G[1967]:=Group([(1,6,14)(2,11,9)(3,8,7)(5,12,13)]); # Design 1968: autom. group order 3, simple, residual B[1968]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,10,11,14],[1,3,6,9,10,12,13],[1,4,5,7,8,9,12],[1,4,6,8,10,11,13],[1,4,7,8,10,12,14],[1,5,6,9,12,13,14],[1,6,7,8,11,13,14],[2,3,6,7,10,11,12],[2,3,8,9,12,13,14],[2,4,5,6,10,13,14],[2,4,5,8,9,11,13],[2,4,6,7,9,12,14],[2,5,8,10,11,12,14],[2,6,7,8,9,10,13],[3,4,5,7,10,13,14],[3,4,6,8,11,12,14],[3,4,7,9,11,13,14],[3,5,6,7,8,9,11],[3,5,7,8,10,12,13],[4,5,6,9,10,11,12]]; G[1968]:=Group([(2,8,9)(3,4,10)(5,7,14)(6,12,11)]); # Design 1969: autom. group order 3, simple, residual B[1969]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,9,10,13],[1,3,5,8,10,11,13],[1,3,7,9,12,13,14],[1,4,5,6,9,11,13],[1,4,6,7,9,10,14],[1,4,7,8,11,12,14],[1,5,6,7,10,11,12],[1,6,8,10,12,13,14],[2,3,6,7,11,13,14],[2,3,7,9,10,11,12],[2,4,5,7,10,13,14],[2,4,5,10,12,13,14],[2,4,6,8,10,11,12],[2,5,6,7,8,9,12],[2,6,8,9,11,13,14],[3,4,5,8,9,12,14],[3,4,6,7,8,12,13],[3,4,6,9,10,11,14],[3,5,6,9,10,12,13],[3,5,7,8,10,11,14],[4,5,7,8,9,11,13]]; G[1969]:=Group([(1,3,8)(2,5,10)(4,14,13)(6,11,9)]); # Design 1970: autom. group order 3, simple, residual B[1970]:=[[1,2,3,4,5,6,7],[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],[1,2,7,10,11,13,14],[1,3,5,7,10,12,14],[1,3,7,8,9,13,14],[1,4,5,9,10,12,13],[1,4,6,7,8,12,13],[1,4,6,7,9,10,11],[1,5,6,9,10,11,14],[1,6,8,11,12,13,14],[2,3,6,7,10,11,12],[2,3,9,10,12,13,14],[2,4,5,6,9,13,14],[2,4,5,7,11,13,14],[2,4,6,8,10,12,14],[2,5,7,8,9,11,12],[2,6,7,8,9,10,13],[3,4,5,8,10,11,13],[3,4,6,9,11,12,14],[3,4,7,8,9,11,14],[3,5,6,7,9,12,13],[3,5,6,8,10,11,13],[4,5,7,8,10,12,14]]; G[1970]:=Group([(2,9,12)(3,10,13)(5,11,8)]); # Design 1971: autom. group order 3, simple, residual B[1971]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,10,13,14],[1,3,5,7,9,11,14],[1,3,8,9,12,13,14],[1,4,5,7,8,10,13],[1,4,6,7,10,11,12],[1,4,6,8,11,13,14],[1,5,6,10,12,13,14],[1,6,7,8,9,11,12],[2,3,6,7,10,11,14],[2,3,7,8,11,12,13],[2,4,5,6,8,9,12],[2,4,5,7,12,13,14],[2,4,6,9,11,13,14],[2,5,8,10,11,12,14],[2,6,7,8,9,10,13],[3,4,5,9,10,11,13],[3,4,6,9,10,12,14],[3,4,7,8,10,12,14],[3,5,6,7,9,12,13],[3,5,6,8,10,11,13],[4,5,7,8,9,11,14]]; G[1971]:=Group([(1,4,9)(2,3,10)(5,12,13)(6,14,7)]); # Design 1972: autom. group order 3, simple, residual B[1972]:=[[1,2,3,4,5,6,7],[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],[1,2,8,11,12,13,14],[1,3,5,7,10,11,12],[1,3,9,10,11,13,14],[1,4,5,8,9,12,13],[1,4,6,7,8,9,11],[1,4,6,7,10,12,13],[1,5,6,9,10,12,14],[1,6,7,8,10,13,14],[2,3,6,7,12,13,14],[2,3,7,8,9,10,13],[2,4,5,6,10,11,13],[2,4,5,8,10,12,14],[2,4,7,9,10,12,14],[2,5,6,9,10,11,13],[2,6,7,8,9,11,12],[3,4,5,7,9,13,14],[3,4,6,8,10,11,14],[3,4,6,9,11,12,14],[3,5,6,8,9,12,13],[3,5,7,8,10,11,12],[4,5,7,8,11,13,14]]; G[1972]:=Group([(2,6,13)(3,7,12)(5,10,11)]); # Design 1973: autom. group order 3, simple B[1973]:=[[1,2,3,4,5,6,7],[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],[1,2,8,9,11,12,13],[1,3,5,10,11,12,14],[1,3,7,8,9,13,14],[1,4,5,9,12,13,14],[1,4,6,7,8,11,14],[1,4,6,7,10,12,13],[1,5,6,8,10,11,13],[1,6,7,9,10,12,14],[2,3,6,9,10,12,14],[2,3,7,10,11,13,14],[2,4,5,6,9,10,13],[2,4,5,7,11,12,14],[2,4,7,8,10,13,14],[2,5,6,8,12,13,14],[2,6,7,8,9,11,12],[3,4,5,7,8,9,12],[3,4,6,8,10,11,12],[3,4,6,9,11,13,14],[3,5,6,7,9,11,13],[3,5,7,8,10,12,13],[4,5,8,9,10,11,14]]; G[1973]:=Group([(2,6,12)(3,7,13)(5,10,11)(8,14,9)]); # Design 1974: autom. group order 3, simple, residual B[1974]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,8,9,13],[1,3,7,9,10,12,14],[1,4,5,8,10,12,13],[1,4,6,7,9,11,13],[1,4,6,8,10,11,14],[1,5,6,7,10,11,12],[1,6,8,9,12,13,14],[2,3,6,7,12,13,14],[2,3,8,10,11,12,13],[2,4,5,6,10,13,14],[2,4,5,7,9,10,12],[2,4,7,8,9,11,14],[2,5,6,8,9,11,12],[2,6,7,8,9,10,13],[3,4,5,9,11,13,14],[3,4,6,7,8,11,12],[3,4,6,9,10,12,14],[3,5,6,9,10,11,13],[3,5,7,8,10,11,14],[4,5,7,8,12,13,14]]; G[1974]:=Group([(1,4,14)(2,13,9)(3,5,12)(6,8,10)]); # Design 1975: autom. group order 3, simple, residual B[1975]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,10,11,13],[1,3,7,9,10,12,14],[1,4,5,7,12,13,14],[1,4,6,7,8,10,12],[1,4,6,10,11,13,14],[1,5,6,8,9,10,13],[1,6,8,9,11,12,14],[2,3,6,7,10,13,14],[2,3,8,10,11,12,14],[2,4,5,8,9,13,14],[2,4,5,9,10,12,14],[2,4,6,7,9,10,11],[2,5,6,10,11,12,13],[2,6,7,8,9,12,13],[3,4,5,6,8,11,12],[3,4,6,9,12,13,14],[3,4,7,8,9,11,13],[3,5,6,7,9,11,14],[3,5,7,8,10,12,13],[4,5,7,8,10,11,14]]; G[1975]:=Group([(1,2,9)(3,4,10)(6,14,13)(7,12,11)]); # Design 1976: autom. group order 3, simple, residual B[1976]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,9,12,14],[1,3,5,6,10,11,13],[1,3,6,10,12,13,14],[1,4,5,7,9,13,14],[1,4,6,7,9,10,11],[1,4,7,8,10,11,14],[1,5,7,8,10,12,13],[1,8,9,11,12,13,14],[2,3,7,8,9,11,13],[2,3,7,9,10,13,14],[2,4,5,9,10,12,13],[2,4,5,10,11,12,14],[2,4,6,8,10,13,14],[2,5,6,7,11,13,14],[2,6,7,8,10,11,12],[3,4,5,7,8,12,14],[3,4,6,7,8,12,13],[3,4,6,9,11,12,14],[3,5,6,8,9,10,14],[3,5,7,9,10,11,12],[4,5,6,8,9,11,13]]; G[1976]:=Group([(1,2,3)(5,8,11)(6,9,13)(7,10,12)]); # Design 1977: autom. group order 3, simple, residual B[1977]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,6,12,13,14],[1,3,6,7,10,11,13],[1,4,5,7,9,11,13],[1,4,7,9,10,13,14],[1,4,8,10,11,12,14],[1,5,8,9,12,13,14],[1,6,7,8,10,11,12],[2,3,7,8,9,12,13],[2,3,9,10,11,13,14],[2,4,5,6,8,10,13],[2,4,5,7,11,12,14],[2,4,6,10,12,13,14],[2,5,7,9,10,11,12],[2,6,7,8,11,13,14],[3,4,5,7,8,10,14],[3,4,6,7,9,12,14],[3,4,6,8,9,11,12],[3,5,6,9,10,11,14],[3,5,7,8,10,12,13],[4,5,6,8,9,11,13]]; G[1977]:=Group([(1,2,3)(5,8,11)(6,9,13)(7,10,12)]); # Design 1978: autom. group order 3, simple, residual B[1978]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,9,10,14],[1,3,5,6,10,11,13],[1,3,6,7,12,13,14],[1,4,5,7,9,13,14],[1,4,7,9,10,11,13],[1,4,8,10,11,12,14],[1,5,8,9,12,13,14],[1,6,7,8,10,11,12],[2,3,7,8,9,11,13],[2,3,9,10,12,13,14],[2,4,5,6,10,12,13],[2,4,5,7,11,12,14],[2,4,6,8,10,13,14],[2,5,7,9,10,11,12],[2,6,7,8,11,13,14],[3,4,5,7,8,10,14],[3,4,6,7,8,9,12],[3,4,6,9,11,12,14],[3,5,6,9,10,11,14],[3,5,7,8,10,12,13],[4,5,6,8,9,11,13]]; G[1978]:=Group([(1,2,3)(5,8,11)(6,9,13)(7,10,12)]); # Design 1979: autom. group order 3, simple, residual B[1979]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,6,10,13,14],[1,3,7,9,11,12,14],[1,4,5,7,8,9,13],[1,4,6,7,10,11,14],[1,4,6,8,9,11,14],[1,5,7,10,11,12,13],[1,8,9,10,12,13,14],[2,3,6,9,10,11,12],[2,3,7,8,10,13,14],[2,4,5,7,9,12,14],[2,4,5,10,11,13,14],[2,4,6,8,12,13,14],[2,5,7,8,9,10,11],[2,6,7,9,11,13,14],[3,4,5,9,10,12,14],[3,4,6,7,9,10,13],[3,4,7,8,11,12,13],[3,5,6,7,8,12,14],[3,5,6,8,9,11,13],[4,5,6,8,10,11,12]]; G[1979]:=Group([(1,3,9)(2,10,8)(5,6,13)(11,12,14)]); # Design 1980: autom. group order 3, simple, residual B[1980]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,8,10,14],[1,3,5,6,10,12,13],[1,3,9,10,11,12,14],[1,4,5,8,9,11,13],[1,4,6,7,8,9,12],[1,4,6,7,10,11,13],[1,5,7,9,10,13,14],[1,7,8,11,12,13,14],[2,3,6,7,11,13,14],[2,3,7,8,9,12,13],[2,4,5,7,10,11,12],[2,4,5,8,10,13,14],[2,4,6,9,12,13,14],[2,5,7,9,10,11,12],[2,6,8,9,10,11,13],[3,4,5,7,9,13,14],[3,4,6,9,10,11,14],[3,4,7,8,10,12,14],[3,5,6,7,8,9,11],[3,5,6,8,10,12,13],[4,5,6,8,11,12,14]]; G[1980]:=Group([(2,7,11)(3,6,13)(5,10,12)]); # Design 1981: autom. group order 3, simple, residual B[1981]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,12,13,14],[1,3,5,6,10,11,13],[1,3,9,10,12,13,14],[1,4,5,7,8,10,14],[1,4,6,7,9,11,12],[1,4,6,9,10,11,14],[1,5,7,8,10,12,13],[1,7,8,9,11,13,14],[2,3,6,7,9,10,14],[2,3,7,8,9,11,13],[2,4,5,7,9,10,13],[2,4,5,9,12,13,14],[2,4,8,10,11,12,14],[2,5,6,10,11,13,14],[2,6,7,8,10,11,12],[3,4,5,7,11,12,14],[3,4,6,7,8,13,14],[3,4,6,8,10,12,13],[3,5,6,8,9,12,14],[3,5,7,9,10,11,12],[4,5,6,8,9,11,13]]; G[1981]:=Group([(1,2,3)(5,8,11)(6,9,13)(7,10,12)]); # Design 1982: autom. group order 3, simple, residual B[1982]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,12,13,14],[1,3,5,6,10,11,13],[1,3,9,10,12,13,14],[1,4,5,7,8,10,14],[1,4,6,7,9,11,14],[1,4,6,9,10,11,12],[1,5,7,8,10,12,13],[1,7,8,9,11,13,14],[2,3,6,7,9,10,14],[2,3,7,8,9,11,13],[2,4,5,7,9,12,13],[2,4,5,9,10,13,14],[2,4,8,10,11,12,14],[2,5,6,10,11,13,14],[2,6,7,8,10,11,12],[3,4,5,7,11,12,14],[3,4,6,7,8,10,13],[3,4,6,8,12,13,14],[3,5,6,8,9,12,14],[3,5,7,9,10,11,12],[4,5,6,8,9,11,13]]; G[1982]:=Group([(1,2,3)(5,8,11)(6,9,13)(7,10,12)]); # Design 1983: autom. group order 3, simple B[1983]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,6,10,12,13],[1,3,7,8,9,12,13],[1,4,5,7,9,10,14],[1,4,6,7,8,13,14],[1,4,6,9,11,12,14],[1,5,7,9,10,11,13],[1,8,10,11,12,13,14],[2,3,7,9,10,13,14],[2,3,7,9,11,12,14],[2,4,5,7,8,12,13],[2,4,5,10,11,13,14],[2,4,6,9,10,12,13],[2,5,6,8,9,11,13],[2,6,7,8,10,12,14],[3,4,5,8,10,12,14],[3,4,6,7,11,13,14],[3,4,6,8,9,10,11],[3,5,6,7,10,11,12],[3,5,6,8,9,13,14],[4,5,7,8,9,11,12]]; G[1983]:=Group([(1,2,13)(3,4,12)(5,10,8)(6,9,7)]); # Design 1984: autom. group order 3, simple, residual B[1984]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,6,8,10,13],[1,3,7,9,12,13,14],[1,4,5,9,11,12,14],[1,4,6,9,10,11,13],[1,4,7,8,10,13,14],[1,5,6,7,9,10,11],[1,7,8,10,11,12,14],[2,3,6,7,10,11,14],[2,3,7,9,10,12,13],[2,4,5,7,10,11,12],[2,4,5,9,10,13,14],[2,4,6,8,10,12,14],[2,5,7,8,9,11,13],[2,6,8,9,11,13,14],[3,4,5,7,8,9,14],[3,4,6,7,11,13,14],[3,4,6,8,9,11,12],[3,5,6,9,10,12,14],[3,5,8,10,11,12,13],[4,5,6,7,8,12,13]]; G[1984]:=Group([(1,6,14)(2,12,5)(3,8,9)(7,10,11)]); # Design 1985: autom. group order 3, simple, residual B[1985]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,8,9],[1,2,6,9,11,12,14],[1,3,5,6,10,12,13],[1,3,8,9,12,13,14],[1,4,5,7,10,12,14],[1,4,6,9,10,11,13],[1,4,7,8,10,12,14],[1,5,7,9,10,11,13],[1,6,7,8,11,13,14],[2,3,6,7,10,13,14],[2,3,7,9,10,13,14],[2,4,5,6,12,13,14],[2,4,5,8,10,11,13],[2,4,7,8,9,12,13],[2,5,9,10,11,12,14],[2,6,7,8,10,11,12],[3,4,5,7,9,11,14],[3,4,6,7,9,11,12],[3,4,6,8,10,11,14],[3,5,6,8,9,10,12],[3,5,7,8,11,12,13],[4,5,6,8,9,13,14]]; G[1985]:=Group([(1,4,12)(2,13,3)(7,14,10)]); # Design 1986: autom. group order 3, simple, residual B[1986]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,6,9,10,14],[1,3,7,9,10,11,13],[1,4,5,7,9,11,12],[1,4,6,7,8,10,13],[1,4,8,10,11,12,14],[1,5,7,10,12,13,14],[1,6,8,9,11,13,14],[2,3,6,7,10,11,14],[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],[2,5,7,8,9,10,13],[2,6,8,9,10,11,12],[3,4,5,8,9,13,14],[3,4,6,7,8,9,12],[3,4,6,10,12,13,14],[3,5,6,9,11,12,13],[3,5,7,8,10,11,12],[4,5,6,7,8,11,14]]; G[1986]:=Group([(1,4,8)(2,7,14)(3,6,11)(9,13,12)]); # Design 1987: autom. group order 3, simple, residual B[1987]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,6,10,12,14],[1,3,7,9,10,13,14],[1,4,5,7,8,11,13],[1,4,6,8,9,10,13],[1,4,7,9,11,12,14],[1,5,7,9,10,11,12],[1,6,8,10,11,13,14],[2,3,6,9,11,13,14],[2,3,7,8,9,10,12],[2,4,5,6,9,10,11],[2,4,5,7,10,13,14],[2,4,8,10,11,12,14],[2,5,7,8,9,13,14],[2,6,7,10,11,12,13],[3,4,5,10,12,13,14],[3,4,6,7,8,12,13],[3,4,6,7,9,11,14],[3,5,6,7,8,10,11],[3,5,8,9,11,12,13],[4,5,6,8,9,12,14]]; G[1987]:=Group([(1,7,13)(2,6,12)(5,8,11)(9,14,10)]); # Design 1988: autom. group order 3, simple, residual B[1988]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,6,10,13,14],[1,3,7,8,9,10,12],[1,4,5,7,9,11,12],[1,4,6,8,10,11,13],[1,4,7,9,10,13,14],[1,5,7,10,11,12,14],[1,6,8,9,11,13,14],[2,3,6,9,10,12,14],[2,3,7,9,11,13,14],[2,4,5,6,9,10,11],[2,4,5,7,8,13,14],[2,4,8,10,11,12,14],[2,5,7,8,9,10,13],[2,6,7,10,11,12,13],[3,4,5,10,12,13,14],[3,4,6,7,8,12,13],[3,4,6,7,9,11,14],[3,5,6,7,8,10,11],[3,5,8,9,11,12,13],[4,5,6,8,9,12,14]]; G[1988]:=Group([(1,7,13)(2,6,12)(5,8,11)(9,14,10)]); # Design 1989: autom. group order 3, simple, residual B[1989]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,6,8,10,13],[1,3,7,9,10,13,14],[1,4,5,9,11,12,14],[1,4,6,9,10,11,13],[1,4,7,8,12,13,14],[1,5,7,9,10,11,12],[1,6,7,8,10,11,14],[2,3,6,9,10,12,14],[2,3,7,10,11,12,14],[2,4,5,6,7,10,11],[2,4,5,9,10,13,14],[2,4,7,8,10,12,13],[2,5,7,8,9,11,13],[2,6,8,9,11,13,14],[3,4,5,7,8,9,14],[3,4,6,7,11,13,14],[3,4,6,8,9,11,12],[3,5,6,7,9,12,13],[3,5,8,10,11,12,13],[4,5,6,8,10,12,14]]; G[1989]:=Group([(1,6,14)(2,12,5)(3,9,4)(7,10,11)]); # Design 1990: autom. group order 3, simple, residual B[1990]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,14],[1,2,6,8,9,12,13],[1,3,5,6,10,11,12],[1,3,7,10,12,13,14],[1,4,5,7,9,13,14],[1,4,6,7,10,11,13],[1,4,8,9,10,12,14],[1,5,7,8,9,11,13],[1,6,7,8,11,12,14],[2,3,6,7,9,13,14],[2,3,7,9,11,12,14],[2,4,5,6,7,8,12],[2,4,5,10,11,13,14],[2,4,7,9,10,11,12],[2,5,7,8,10,12,13],[2,6,8,10,11,13,14],[3,4,5,8,12,13,14],[3,4,6,7,8,10,14],[3,4,6,8,9,11,13],[3,5,6,9,10,12,13],[3,5,7,8,9,10,11],[4,5,6,9,11,12,14]]; G[1990]:=Group([(1,6,14)(2,9,5)(3,13,4)(8,12,11)]); # Design 1991: autom. group order 3, simple, residual B[1991]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,12,14],[1,2,6,8,9,12,13],[1,3,5,6,9,10,13],[1,3,10,11,12,13,14],[1,4,5,9,10,11,14],[1,4,6,7,10,13,14],[1,4,7,8,9,11,12],[1,5,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,6,7,9,11,13],[2,3,7,8,9,10,14],[2,4,5,7,10,11,13],[2,4,5,8,12,13,14],[2,4,6,9,10,12,14],[2,5,7,9,10,11,12],[2,6,8,10,11,13,14],[3,4,5,6,8,10,12],[3,4,6,7,8,11,14],[3,4,7,9,12,13,14],[3,5,6,9,11,12,14],[3,5,7,8,10,12,13],[4,5,6,8,9,11,13]]; G[1991]:=Group([(1,2,3)(5,8,11)(6,9,13)(7,10,12)]); # Design 1992: autom. group order 3, simple B[1992]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,12,13,14],[1,3,5,6,10,11,13],[1,3,9,10,12,13,14],[1,4,5,7,10,11,14],[1,4,6,7,9,11,12],[1,4,7,8,9,13,14],[1,5,7,8,10,12,13],[1,6,8,9,10,11,14],[2,3,6,7,9,10,14],[2,3,7,8,9,11,13],[2,4,5,7,9,10,13],[2,4,5,8,10,12,14],[2,4,6,10,11,13,14],[2,5,9,11,12,13,14],[2,6,7,8,10,11,12],[3,4,5,6,9,12,14],[3,4,6,8,10,12,13],[3,4,7,8,11,12,14],[3,5,6,7,8,13,14],[3,5,7,9,10,11,12],[4,5,6,8,9,11,13]]; G[1992]:=Group([(1,2,3)(5,8,11)(6,9,13)(7,10,12)]); # Design 1993: autom. group order 3, simple, residual B[1993]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,6,9,10,13],[1,3,8,9,10,11,12],[1,4,5,7,10,11,13],[1,4,6,10,12,13,14],[1,4,7,8,9,13,14],[1,5,7,10,11,12,14],[1,6,7,8,9,11,14],[2,3,6,7,10,11,14],[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],[2,5,7,8,9,10,13],[2,6,8,10,11,12,13],[3,4,5,6,7,8,12],[3,4,6,9,11,13,14],[3,4,7,8,10,12,14],[3,5,6,8,10,13,14],[3,5,7,9,11,12,13],[4,5,6,8,9,11,12]]; G[1993]:=Group([(1,11,14)(2,9,10)(3,6,12)(5,8,7)]); # Design 1994: autom. group order 3, simple B[1994]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,10,12,13,14],[1,3,5,6,10,11,13],[1,3,7,9,10,13,14],[1,4,5,7,11,12,14],[1,4,6,7,9,11,14],[1,4,7,8,9,12,13],[1,5,7,8,10,12,13],[1,6,8,9,10,11,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,7,8,10,14],[2,4,5,9,10,13,14],[2,4,6,7,10,11,13],[2,5,9,11,12,13,14],[2,6,7,8,10,11,12],[3,4,5,6,9,10,12],[3,4,6,8,12,13,14],[3,4,8,10,11,12,14],[3,5,6,7,8,13,14],[3,5,7,9,10,11,12],[4,5,6,8,9,11,13]]; G[1994]:=Group([(1,2,3)(5,8,11)(6,9,13)(7,10,12)]); # Design 1995: autom. group order 3, simple, residual B[1995]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,6,8,10,13,14],[1,3,5,7,10,12,14],[1,3,6,9,11,12,13],[1,4,5,6,10,11,13],[1,4,6,7,8,11,14],[1,4,7,9,10,12,14],[1,5,8,9,12,13,14],[1,7,8,9,10,11,13],[2,3,6,8,9,10,12],[2,3,7,9,11,13,14],[2,4,5,7,8,9,13],[2,4,5,9,10,11,14],[2,4,6,10,12,13,14],[2,5,7,10,11,12,13],[2,6,7,8,11,12,14],[3,4,5,8,12,13,14],[3,4,6,7,9,13,14],[3,4,7,8,10,11,12],[3,5,6,7,8,10,13],[3,5,6,9,10,11,14],[4,5,6,8,9,11,12]]; G[1995]:=Group([(1,2,3)(5,8,11)(6,9,12)(7,10,13)]); # Design 1996: autom. group order 3, simple, residual B[1996]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,6,8,10,13,14],[1,3,5,7,9,13,14],[1,3,6,9,10,11,12],[1,4,5,6,10,11,14],[1,4,6,7,8,11,13],[1,4,7,9,12,13,14],[1,5,8,9,10,12,14],[1,7,8,10,11,12,13],[2,3,6,8,9,12,13],[2,3,7,10,11,12,14],[2,4,5,8,12,13,14],[2,4,5,9,10,11,13],[2,4,6,7,10,12,14],[2,5,7,9,10,11,13],[2,6,7,8,9,11,14],[3,4,5,7,8,10,12],[3,4,6,9,10,13,14],[3,4,7,8,9,11,14],[3,5,6,7,8,10,13],[3,5,6,11,12,13,14],[4,5,6,8,9,11,12]]; G[1996]:=Group([(1,8,14)(2,5,10)(3,12,6)(9,13,11)]); # Design 1997: autom. group order 3, simple, residual B[1997]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,9,10,13,14],[1,3,5,7,12,13,14],[1,3,6,7,9,11,12],[1,4,5,6,10,11,13],[1,4,6,7,8,10,14],[1,4,9,10,11,12,14],[1,5,7,8,9,13,14],[1,7,8,10,11,12,13],[2,3,6,7,10,11,14],[2,3,8,10,12,13,14],[2,4,5,7,8,10,12],[2,4,5,9,11,13,14],[2,4,6,7,12,13,14],[2,5,7,9,10,11,12],[2,6,7,8,9,11,13],[3,4,5,7,9,10,13],[3,4,6,8,9,12,13],[3,4,7,8,9,11,14],[3,5,6,8,10,11,13],[3,5,6,9,10,12,14],[4,5,6,8,11,12,14]]; G[1997]:=Group([(1,11,12)(2,14,6)(3,4,9)(7,13,10)]); # Design 1998: autom. group order 3, simple, residual B[1998]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,10,11,13],[1,3,5,7,10,13,14],[1,3,6,9,10,12,14],[1,4,5,6,12,13,14],[1,4,6,7,8,9,13],[1,4,8,10,11,13,14],[1,5,7,9,10,11,12],[1,7,8,9,11,12,14],[2,3,6,7,11,12,14],[2,3,7,8,9,13,14],[2,4,5,7,9,10,11],[2,4,5,8,10,12,14],[2,4,7,9,12,13,14],[2,5,6,9,10,13,14],[2,6,8,10,11,12,13],[3,4,5,9,11,12,13],[3,4,6,7,8,10,12],[3,4,6,9,10,11,14],[3,5,6,8,9,11,13],[3,5,7,8,10,12,13],[4,5,6,7,8,11,14]]; G[1998]:=Group([(1,4,8)(2,6,14)(3,7,11)(9,13,10)]); # Design 1999: autom. group order 3, simple B[1999]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,6,9,10,12,14],[1,3,5,9,10,11,13],[1,3,6,7,9,13,14],[1,4,5,6,7,10,14],[1,4,6,9,10,11,12],[1,4,7,8,11,12,14],[1,5,7,8,9,12,13],[1,7,8,10,11,13,14],[2,3,6,7,8,10,11],[2,3,7,10,12,13,14],[2,4,5,7,9,11,14],[2,4,5,7,10,12,13],[2,4,8,9,10,13,14],[2,5,6,9,11,13,14],[2,6,7,8,9,11,12],[3,4,5,8,9,12,14],[3,4,6,7,8,9,13],[3,4,6,11,12,13,14],[3,5,6,8,10,12,14],[3,5,7,9,10,11,12],[4,5,6,8,10,11,13]]; G[1999]:=Group([(1,2,3)(5,8,11)(6,10,13)(7,9,12)]); # Design 2000: autom. group order 3, simple, residual B[2000]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,7,9,13,14],[1,3,6,8,10,12,14],[1,4,5,6,10,11,12],[1,4,7,8,9,11,14],[1,4,7,10,12,13,14],[1,5,6,10,11,13,14],[1,7,8,9,11,12,13],[2,3,6,9,12,13,14],[2,3,7,10,11,12,13],[2,4,5,7,8,10,13],[2,4,5,9,11,12,14],[2,4,6,8,11,13,14],[2,5,7,8,10,12,14],[2,6,7,9,10,11,14],[3,4,5,9,10,13,14],[3,4,6,7,8,12,14],[3,4,6,7,9,10,11],[3,5,6,7,8,11,13],[3,5,8,9,10,11,12],[4,5,6,8,9,12,13]]; G[2000]:=Group([(1,7,10)(2,6,9)(5,11,8)(12,14,13)]); # Design 2001: autom. group order 3, simple B[2001]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,14],[1,2,6,8,9,12,13],[1,3,5,7,9,10,12],[1,3,6,7,11,12,14],[1,4,5,6,10,11,13],[1,4,7,8,9,11,14],[1,4,7,10,12,13,14],[1,5,6,8,12,13,14],[1,7,8,9,10,11,13],[2,3,6,7,10,11,13],[2,3,8,10,12,13,14],[2,4,5,7,8,10,12],[2,4,5,9,11,13,14],[2,4,6,7,9,12,14],[2,5,7,9,11,12,13],[2,6,7,8,10,11,14],[3,4,5,7,8,13,14],[3,4,6,8,9,11,12],[3,4,6,9,10,13,14],[3,5,6,7,8,9,13],[3,5,9,10,11,12,14],[4,5,6,8,10,11,12]]; G[2001]:=Group([(1,2,3)(5,8,11)(6,10,12)(7,9,13)]); # Design 2002: autom. group order 3, simple B[2002]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,8,12],[1,2,6,9,10,13,14],[1,3,5,9,11,12,13],[1,3,6,7,10,12,14],[1,4,5,6,9,13,14],[1,4,7,8,11,13,14],[1,4,7,9,10,11,12],[1,5,8,9,10,12,14],[1,6,7,8,10,11,13],[2,3,6,8,9,10,11],[2,3,7,9,12,13,14],[2,4,5,6,10,12,13],[2,4,5,7,10,11,14],[2,4,7,8,9,12,14],[2,5,7,9,10,11,13],[2,6,8,11,12,13,14],[3,4,5,8,10,13,14],[3,4,6,7,8,9,13],[3,4,6,10,11,12,14],[3,5,6,7,9,11,14],[3,5,7,8,10,12,13],[4,5,6,8,9,11,12]]; G[2002]:=Group([(1,2,3)(5,8,11)(6,9,12)(7,10,13)]); # Design 2003: autom. group order 3, simple B[2003]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,9,10,14],[1,3,5,7,10,11,12],[1,3,6,7,12,13,14],[1,4,5,6,10,13,14],[1,4,7,9,10,11,12],[1,4,8,9,11,13,14],[1,5,8,10,12,13,14],[1,6,7,8,9,11,13],[2,3,6,8,10,11,13],[2,3,9,10,12,13,14],[2,4,5,6,9,12,13],[2,4,5,7,11,13,14],[2,4,7,8,10,12,14],[2,5,7,9,10,11,13],[2,6,7,8,11,12,14],[3,4,5,7,8,9,14],[3,4,6,7,8,10,13],[3,4,6,9,11,12,14],[3,5,6,9,10,11,14],[3,5,7,8,9,12,13],[4,5,6,8,10,11,12]]; G[2003]:=Group([(1,2,3)(5,8,11)(6,10,12)(7,9,13)]); # Design 2004: autom. group order 3, simple, residual B[2004]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,7,10,13,14],[1,3,6,9,10,12,14],[1,4,5,6,9,10,11],[1,4,7,8,9,11,13],[1,4,8,10,11,12,14],[1,5,7,8,9,13,14],[1,6,7,10,11,12,13],[2,3,6,8,9,10,13],[2,3,7,9,11,12,14],[2,4,5,6,11,13,14],[2,4,5,7,8,10,12],[2,4,7,9,10,13,14],[2,5,7,9,10,11,12],[2,6,8,10,11,13,14],[3,4,5,10,12,13,14],[3,4,6,7,8,12,13],[3,4,6,7,9,11,14],[3,5,6,7,8,10,11],[3,5,8,9,11,12,13],[4,5,6,8,9,12,14]]; G[2004]:=Group([(1,6,12)(2,7,13)(5,8,11)(9,14,10)]); # Design 2005: autom. group order 3, simple, residual B[2005]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,9,10,11,13],[1,3,6,10,12,13,14],[1,4,5,6,9,10,14],[1,4,7,8,10,11,14],[1,4,7,9,11,12,13],[1,5,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,6,7,8,9,11],[2,3,7,9,10,13,14],[2,4,5,6,7,10,13],[2,4,5,10,11,12,14],[2,4,8,9,12,13,14],[2,5,7,9,10,11,12],[2,6,8,10,11,13,14],[3,4,5,7,8,12,14],[3,4,6,7,11,13,14],[3,4,6,8,9,10,12],[3,5,6,9,11,12,14],[3,5,7,8,10,12,13],[4,5,6,8,9,11,13]]; G[2005]:=Group([(1,2,3)(5,8,11)(6,9,13)(7,10,12)]); # Design 2006: autom. group order 3, simple, residual B[2006]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,9,10,13,14],[1,3,5,7,10,11,12],[1,3,6,7,9,12,14],[1,4,5,6,7,10,13],[1,4,7,8,11,13,14],[1,4,9,10,11,12,14],[1,5,8,10,12,13,14],[1,6,7,8,9,11,13],[2,3,6,8,10,11,13],[2,3,7,10,12,13,14],[2,4,5,6,12,13,14],[2,4,5,7,9,11,14],[2,4,7,8,9,10,12],[2,5,7,9,10,11,13],[2,6,7,8,11,12,14],[3,4,5,8,9,13,14],[3,4,6,7,8,10,14],[3,4,6,9,11,12,13],[3,5,6,9,10,11,14],[3,5,7,8,9,12,13],[4,5,6,8,10,11,12]]; G[2006]:=Group([(1,2,3)(5,8,11)(6,10,12)(7,9,13)]); # Design 2007: autom. group order 3, simple, residual B[2007]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,7,9,12,14],[1,3,6,7,10,11,12],[1,4,5,6,11,13,14],[1,4,7,8,9,10,11],[1,4,7,10,12,13,14],[1,5,8,10,12,13,14],[1,6,7,8,9,11,13],[2,3,6,8,10,12,13],[2,3,7,10,11,13,14],[2,4,5,7,8,10,14],[2,4,5,9,11,12,13],[2,4,6,7,9,12,14],[2,5,7,9,10,11,13],[2,6,7,8,11,12,14],[3,4,5,6,7,8,13],[3,4,6,9,10,13,14],[3,4,8,9,11,12,14],[3,5,6,9,10,11,14],[3,5,7,8,9,12,13],[4,5,6,8,10,11,12]]; G[2007]:=Group([(1,2,3)(5,8,11)(6,10,12)(7,9,13)]); # Design 2008: autom. group order 3, simple, residual B[2008]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,12,13,14],[1,2,6,8,9,10,14],[1,3,5,9,10,12,13],[1,3,6,7,8,12,14],[1,4,5,6,7,9,11],[1,4,7,9,10,12,14],[1,4,7,10,11,13,14],[1,5,7,8,9,11,13],[1,6,8,10,11,12,13],[2,3,6,7,9,10,13],[2,3,7,10,11,13,14],[2,4,5,7,8,10,12],[2,4,5,9,12,13,14],[2,4,6,8,9,11,13],[2,5,7,8,10,11,12],[2,6,7,9,11,12,14],[3,4,5,6,10,11,14],[3,4,6,7,8,12,13],[3,4,8,9,11,12,14],[3,5,6,9,10,11,12],[3,5,7,8,9,13,14],[4,5,6,8,10,13,14]]; G[2008]:=Group([(1,6,14)(2,8,12)(3,13,9)(5,10,7)]); # Design 2009: autom. group order 3, simple, residual B[2009]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,7,9,12,13],[1,3,6,7,11,13,14],[1,4,5,6,10,11,12],[1,4,7,8,10,11,14],[1,4,7,10,12,13,14],[1,5,8,9,12,13,14],[1,6,8,9,10,11,13],[2,3,7,9,10,11,12],[2,3,8,10,12,13,14],[2,4,5,7,8,10,13],[2,4,5,9,11,13,14],[2,4,6,7,9,13,14],[2,5,6,10,11,12,13],[2,6,7,8,11,12,14],[3,4,5,6,8,12,14],[3,4,6,8,9,11,13],[3,4,6,9,10,12,14],[3,5,6,7,8,10,13],[3,5,7,9,10,11,14],[4,5,7,8,9,11,12]]; G[2009]:=Group([(1,2,3)(5,8,11)(6,10,13)(7,9,12)]); # Design 2010: autom. group order 3, simple, residual B[2010]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,9,12,13,14],[1,3,6,7,9,11,13],[1,4,5,6,10,11,14],[1,4,7,8,9,10,11],[1,4,7,10,12,13,14],[1,5,7,8,9,13,14],[1,6,8,10,11,12,13],[2,3,7,8,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,10,13,14],[2,4,5,9,11,12,13],[2,4,6,7,9,13,14],[2,5,6,7,10,11,13],[2,6,8,9,11,12,14],[3,4,5,6,7,8,12],[3,4,6,8,11,13,14],[3,4,6,9,10,12,14],[3,5,6,8,9,10,13],[3,5,7,10,11,12,14],[4,5,7,8,9,11,12]]; G[2010]:=Group([(1,2,3)(5,8,11)(6,10,13)(7,9,12)]); # Design 2011: autom. group order 3, simple B[2011]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,6,7,9,12,14],[1,3,5,7,8,10,13],[1,3,6,10,11,12,14],[1,4,5,9,10,13,14],[1,4,6,7,8,13,14],[1,4,6,8,10,11,12],[1,5,7,9,10,11,14],[1,7,8,9,11,12,13],[2,3,6,7,10,13,14],[2,3,7,8,9,10,12],[2,4,5,6,9,10,11],[2,4,5,8,12,13,14],[2,4,7,8,9,11,14],[2,5,7,10,11,12,13],[2,6,8,10,11,13,14],[3,4,5,7,11,12,14],[3,4,6,7,9,11,13],[3,4,9,10,12,13,14],[3,5,6,8,9,11,13],[3,5,6,8,9,12,14],[4,5,6,7,8,10,12]]; G[2011]:=Group([(1,8,13)(3,14,12)(4,11,5)(6,9,10)]); # Design 2012: autom. group order 3, simple, residual B[2012]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,7,10,12,13],[1,3,5,7,9,10,13],[1,3,6,8,10,12,14],[1,4,5,9,11,13,14],[1,4,6,7,8,9,14],[1,4,6,8,10,11,13],[1,5,7,10,11,12,14],[1,7,8,9,11,12,13],[2,3,6,9,11,13,14],[2,3,7,8,12,13,14],[2,4,5,7,10,13,14],[2,4,5,8,10,11,12],[2,4,6,7,9,11,12],[2,5,6,8,9,10,13],[2,7,8,9,10,11,14],[3,4,5,7,8,9,12],[3,4,6,7,10,11,14],[3,4,9,10,12,13,14],[3,5,6,7,8,11,13],[3,5,6,9,10,11,12],[4,5,6,8,12,13,14]]; G[2012]:=Group([(1,13,14)(2,8,10)(3,6,7)(4,5,11)]); # Design 2013: autom. group order 3, simple, residual B[2013]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,12,13,14],[1,2,6,8,9,11,12],[1,3,5,7,9,13,14],[1,3,6,7,9,10,12],[1,4,5,8,10,12,13],[1,4,6,7,8,13,14],[1,4,6,9,10,11,14],[1,5,7,9,10,11,13],[1,7,8,10,11,12,14],[2,3,6,9,10,13,14],[2,3,7,10,11,12,13],[2,4,5,7,10,11,14],[2,4,5,9,10,12,14],[2,4,6,7,8,10,13],[2,5,6,7,8,9,11],[2,7,8,9,12,13,14],[3,4,5,7,8,9,12],[3,4,6,7,11,12,14],[3,4,8,9,11,13,14],[3,5,6,8,10,11,13],[3,5,6,8,10,12,14],[4,5,6,9,11,12,13]]; G[2013]:=Group([(1,12,14)(2,5,13)(3,4,9)(7,11,10)]); # Design 2014: autom. group order 3, simple, residual B[2014]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,12,13,14],[1,2,6,8,9,11,12],[1,3,5,9,10,12,13],[1,3,6,7,9,13,14],[1,4,5,7,8,13,14],[1,4,6,7,8,10,12],[1,4,6,9,10,11,14],[1,5,7,9,10,11,14],[1,7,8,10,11,12,13],[2,3,6,7,9,10,13],[2,3,7,10,11,12,14],[2,4,5,7,10,11,13],[2,4,5,9,10,12,14],[2,4,6,8,10,13,14],[2,5,6,7,8,9,11],[2,7,8,9,12,13,14],[3,4,5,7,8,9,12],[3,4,6,7,11,12,14],[3,4,8,9,11,13,14],[3,5,6,8,10,11,13],[3,5,6,8,10,12,14],[4,5,6,9,11,12,13]]; G[2014]:=Group([(1,12,14)(2,5,13)(3,9,8)(7,11,10)]); # Design 2015: autom. group order 3, simple, residual B[2015]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,10,13,14],[1,3,5,7,10,11,12],[1,3,6,9,12,13,14],[1,4,5,7,9,11,14],[1,4,6,7,8,10,14],[1,4,6,9,10,11,13],[1,5,8,10,12,13,14],[1,7,8,9,11,12,13],[2,3,6,8,10,11,13],[2,3,7,9,10,12,14],[2,4,5,7,10,12,13],[2,4,5,8,9,13,14],[2,4,9,10,11,12,14],[2,5,6,7,9,11,13],[2,6,7,8,11,12,14],[3,4,5,6,12,13,14],[3,4,6,7,8,9,12],[3,4,7,8,11,13,14],[3,5,6,9,10,11,14],[3,5,7,8,9,10,13],[4,5,6,8,10,11,12]]; G[2015]:=Group([(1,2,3)(5,8,11)(6,10,12)(7,9,13)]); # Design 2016: autom. group order 3, simple, residual B[2016]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,7,9,10,13],[1,3,6,8,10,12,14],[1,4,5,9,10,11,12],[1,4,6,7,8,11,13],[1,4,6,9,10,13,14],[1,5,7,8,9,11,14],[1,7,10,11,12,13,14],[2,3,6,9,11,13,14],[2,3,7,9,10,12,14],[2,4,5,7,9,13,14],[2,4,5,8,10,12,13],[2,4,7,8,10,11,14],[2,5,6,7,10,11,12],[2,6,8,9,10,11,13],[3,4,5,6,10,11,14],[3,4,6,7,9,11,12],[3,4,7,8,12,13,14],[3,5,6,7,8,10,13],[3,5,8,9,11,12,13],[4,5,6,8,9,12,14]]; G[2016]:=Group([(1,2,10)(3,8,9)(5,11,13)(6,7,14)]); # Design 2017: autom. group order 3, simple, residual B[2017]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,6,7,9,10,14],[1,3,5,9,10,11,12],[1,3,6,7,12,13,14],[1,4,5,7,9,11,14],[1,4,6,8,10,13,14],[1,4,6,9,10,11,13],[1,5,7,8,10,12,14],[1,7,8,9,11,12,13],[2,3,6,7,8,10,11],[2,3,9,10,12,13,14],[2,4,5,7,10,12,13],[2,4,5,8,9,13,14],[2,4,7,10,11,12,14],[2,5,6,7,9,11,13],[2,6,8,9,11,12,14],[3,4,5,6,9,12,14],[3,4,6,7,8,9,12],[3,4,7,8,11,13,14],[3,5,6,10,11,13,14],[3,5,7,8,9,10,13],[4,5,6,8,10,11,12]]; G[2017]:=Group([(1,2,3)(5,8,11)(6,10,12)(7,9,13)]); # Design 2018: autom. group order 3, simple, residual B[2018]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,6,8,12,13,14],[1,3,5,9,10,13,14],[1,3,6,7,9,11,13],[1,4,5,7,11,12,14],[1,4,6,7,10,12,14],[1,4,6,8,9,10,11],[1,5,7,8,9,12,13],[1,7,8,10,11,13,14],[2,3,6,7,10,11,14],[2,3,7,8,10,12,13],[2,4,5,7,8,9,14],[2,4,5,10,11,12,13],[2,4,7,9,10,13,14],[2,5,6,9,11,13,14],[2,6,7,8,9,11,12],[3,4,5,6,7,8,13],[3,4,6,9,12,13,14],[3,4,8,9,11,12,14],[3,5,6,8,10,12,14],[3,5,7,9,10,11,12],[4,5,6,8,10,11,13]]; G[2018]:=Group([(1,2,3)(5,8,11)(6,10,13)(7,9,12)]); # Design 2019: autom. group order 3, simple, residual B[2019]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,8,10,12,13],[1,3,6,7,9,12,13],[1,4,5,7,9,10,14],[1,4,6,8,10,13,14],[1,4,6,9,11,12,14],[1,5,7,9,10,11,13],[1,7,8,11,12,13,14],[2,3,7,9,10,13,14],[2,3,9,10,11,12,14],[2,4,5,6,10,12,13],[2,4,5,7,11,13,14],[2,4,7,8,9,12,13],[2,5,6,8,9,11,13],[2,6,7,8,10,12,14],[3,4,5,7,8,12,14],[3,4,6,7,8,9,11],[3,4,6,10,11,13,14],[3,5,6,7,10,11,12],[3,5,6,8,9,13,14],[4,5,8,9,10,11,12]]; G[2019]:=Group([(1,2,13)(3,4,12)(5,7,8)(6,9,10)]); # Design 2020: autom. group order 3, simple B[2020]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,6,7,8,10,14],[1,3,5,7,12,13,14],[1,3,6,9,10,11,12],[1,4,5,7,9,10,11],[1,4,6,10,12,13,14],[1,4,7,8,11,12,14],[1,5,7,8,9,10,13],[1,6,8,9,11,13,14],[2,3,6,7,8,9,12],[2,3,9,10,11,13,14],[2,4,5,6,10,11,14],[2,4,5,8,10,12,13],[2,4,6,7,9,13,14],[2,5,7,9,11,12,14],[2,7,8,10,11,12,13],[3,4,5,8,9,13,14],[3,4,6,7,8,11,13],[3,4,7,9,10,12,14],[3,5,6,7,10,11,13],[3,5,6,8,10,12,14],[4,5,6,8,9,11,12]]; G[2020]:=Group([(1,2,3)(5,8,11)(6,9,12)(7,10,13)]); # Design 2021: autom. group order 3, simple, residual B[2021]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,10,13,14],[1,3,5,7,10,11,12],[1,3,6,9,12,13,14],[1,4,5,10,12,13,14],[1,4,6,7,9,11,12],[1,4,8,9,11,13,14],[1,5,7,8,9,10,13],[1,6,7,8,10,11,14],[2,3,6,8,10,11,13],[2,3,7,9,10,12,14],[2,4,5,6,9,10,13],[2,4,5,7,11,13,14],[2,4,6,7,8,12,14],[2,5,9,10,11,12,14],[2,7,8,9,11,12,13],[3,4,5,7,8,9,14],[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[2021]:=Group([(1,2,3)(5,8,11)(6,10,12)(7,9,13)]); # Design 2022: autom. group order 3, simple B[2022]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,6,7,8,13,14],[1,3,5,9,12,13,14],[1,3,6,7,10,11,12],[1,4,5,7,10,11,13],[1,4,6,9,12,13,14],[1,4,7,8,11,12,14],[1,5,7,8,9,10,13],[1,6,8,9,10,11,14],[2,3,6,8,10,12,13],[2,3,7,9,10,11,14],[2,4,5,6,9,11,14],[2,4,5,7,8,9,12],[2,4,6,7,10,13,14],[2,5,10,11,12,13,14],[2,7,8,9,11,12,13],[3,4,5,8,10,13,14],[3,4,6,8,9,11,13],[3,4,7,9,10,12,14],[3,5,6,7,8,12,14],[3,5,6,7,9,11,13],[4,5,6,8,10,11,12]]; G[2022]:=Group([(1,2,3)(5,8,11)(6,10,12)(7,9,13)]); # Design 2023: autom. group order 3, simple B[2023]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,7,9,10,13],[1,3,6,8,10,12,13],[1,4,5,9,10,12,14],[1,4,6,7,9,10,11],[1,4,7,8,11,12,14],[1,5,8,9,11,12,13],[1,6,7,10,11,13,14],[2,3,6,9,10,12,14],[2,3,7,9,11,13,14],[2,4,5,6,8,10,11],[2,4,5,7,9,12,13],[2,4,7,8,10,13,14],[2,5,6,10,11,12,13],[2,7,8,9,10,11,12],[3,4,5,10,11,13,14],[3,4,6,7,8,12,13],[3,4,6,9,11,12,14],[3,5,6,7,8,9,11],[3,5,7,8,10,12,14],[4,5,6,8,9,13,14]]; G[2023]:=Group([(1,2,10)(3,8,9)(5,11,7)(12,13,14)]); # Design 2024: autom. group order 3, simple B[2024]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,9,10,11,13],[1,3,6,10,12,13,14],[1,4,5,7,8,10,14],[1,4,6,9,10,11,12],[1,4,7,9,11,13,14],[1,5,7,8,9,10,12],[1,6,7,8,11,13,14],[2,3,6,7,8,9,11],[2,3,7,9,10,13,14],[2,4,5,6,10,13,14],[2,4,5,7,9,12,13],[2,4,8,10,11,12,14],[2,5,6,9,10,11,14],[2,7,8,10,11,12,13],[3,4,5,7,11,12,14],[3,4,6,7,8,10,13],[3,4,6,8,9,12,14],[3,5,6,7,10,11,12],[3,5,8,9,12,13,14],[4,5,6,8,9,11,13]]; G[2024]:=Group([(1,2,3)(5,8,11)(6,9,13)(7,10,12)]); # Design 2025: autom. group order 3, simple, residual B[2025]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,6,8,12,13,14],[1,3,5,9,10,13,14],[1,3,6,7,9,11,13],[1,4,5,7,11,12,14],[1,4,6,7,10,12,14],[1,4,7,8,10,11,13],[1,5,7,8,9,12,13],[1,6,8,9,10,11,14],[2,3,6,7,10,11,14],[2,3,7,8,10,12,13],[2,4,5,6,9,11,13],[2,4,5,7,8,9,14],[2,4,7,9,10,13,14],[2,5,10,11,12,13,14],[2,6,7,8,9,11,12],[3,4,5,6,8,10,12],[3,4,6,9,12,13,14],[3,4,8,9,11,12,14],[3,5,6,7,8,13,14],[3,5,7,9,10,11,12],[4,5,6,8,10,11,13]]; G[2025]:=Group([(1,2,3)(5,8,11)(6,10,13)(7,9,12)]); # Design 2026: autom. group order 3, simple, residual B[2026]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,9,10,13,14],[1,3,6,7,9,10,12],[1,4,5,7,12,13,14],[1,4,6,8,10,11,12],[1,4,7,10,11,13,14],[1,5,7,8,9,10,11],[1,6,8,9,11,13,14],[2,3,6,7,10,11,14],[2,3,8,10,12,13,14],[2,4,5,7,8,9,14],[2,4,5,9,10,11,12],[2,4,6,9,10,13,14],[2,5,6,7,10,11,13],[2,7,8,9,11,12,13],[3,4,5,6,8,11,13],[3,4,6,7,8,9,13],[3,4,7,9,11,12,14],[3,5,6,9,11,12,14],[3,5,7,8,10,12,13],[4,5,6,8,10,12,14]]; G[2026]:=Group([(1,2,9)(3,4,10)(6,12,13)(7,11,14)]); # Design 2027: autom. group order 3, simple, residual B[2027]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,9,10,11,13],[1,3,6,9,10,12,14],[1,4,5,7,12,13,14],[1,4,6,8,10,11,12],[1,4,7,10,11,13,14],[1,5,7,8,9,10,14],[1,6,7,8,9,11,13],[2,3,6,7,10,11,14],[2,3,7,8,10,12,13],[2,4,5,7,8,9,11],[2,4,5,9,10,12,14],[2,4,6,7,9,10,13],[2,5,6,10,11,13,14],[2,8,9,11,12,13,14],[3,4,5,6,8,13,14],[3,4,6,8,9,13,14],[3,4,7,9,11,12,14],[3,5,6,7,9,11,12],[3,5,7,8,10,12,13],[4,5,6,8,10,11,12]]; G[2027]:=Group([(1,2,9)(3,4,10)(6,12,13)(7,14,11)]); # Design 2028: autom. group order 3, simple, residual B[2028]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,10,11,12,14],[1,3,6,7,9,10,14],[1,4,5,7,10,11,13],[1,4,6,9,11,13,14],[1,4,7,8,9,12,14],[1,5,8,9,10,13,14],[1,6,7,8,11,12,13],[2,3,7,9,10,11,13],[2,3,7,9,12,13,14],[2,4,5,6,10,12,14],[2,4,5,7,8,13,14],[2,4,6,8,9,10,11],[2,5,6,9,11,13,14],[2,7,8,10,11,12,14],[3,4,5,8,9,12,13],[3,4,6,7,8,11,14],[3,4,6,10,12,13,14],[3,5,6,7,8,10,13],[3,5,6,8,9,11,12],[4,5,7,9,10,11,12]]; G[2028]:=Group([(1,3,13)(2,12,11)(5,9,6)(7,8,14)]); # Design 2029: autom. group order 3, simple, residual B[2029]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,7,9,12,13],[1,3,6,7,11,13,14],[1,4,5,9,10,11,13],[1,4,6,8,11,12,14],[1,4,7,10,12,13,14],[1,5,7,8,10,12,14],[1,6,8,9,10,11,13],[2,3,7,9,10,11,12],[2,3,8,10,12,13,14],[2,4,5,6,8,12,13],[2,4,5,7,10,11,14],[2,4,6,7,9,13,14],[2,5,6,10,11,12,13],[2,7,8,9,11,13,14],[3,4,5,8,9,13,14],[3,4,6,7,8,10,11],[3,4,6,9,10,12,14],[3,5,6,7,8,10,13],[3,5,6,9,11,12,14],[4,5,7,8,9,11,12]]; G[2029]:=Group([(1,2,3)(5,8,11)(6,10,13)(7,9,12)]); # Design 2030: autom. group order 3, simple, residual B[2030]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,9,10,14],[1,3,5,7,9,11,13],[1,3,6,7,12,13,14],[1,4,5,10,11,13,14],[1,4,6,9,10,11,12],[1,4,8,9,12,13,14],[1,5,7,8,10,12,14],[1,6,7,8,10,11,13],[2,3,7,8,10,11,12],[2,3,9,10,12,13,14],[2,4,5,6,8,13,14],[2,4,5,7,10,12,13],[2,4,6,7,11,12,14],[2,5,6,9,10,11,13],[2,7,8,9,11,13,14],[3,4,5,7,9,10,14],[3,4,6,7,8,9,13],[3,4,6,8,10,11,14],[3,5,6,8,10,12,13],[3,5,6,9,11,12,14],[4,5,7,8,9,11,12]]; G[2030]:=Group([(1,2,3)(5,8,11)(6,10,13)(7,9,12)]); # Design 2031: autom. group order 3, simple, residual B[2031]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,9,12,13,14],[1,3,6,7,9,11,13],[1,4,5,10,11,13,14],[1,4,6,8,9,11,12],[1,4,7,10,12,13,14],[1,5,7,8,9,10,14],[1,6,7,8,10,11,13],[2,3,7,8,10,12,13],[2,3,7,9,10,11,14],[2,4,5,6,8,13,14],[2,4,5,7,10,11,12],[2,4,6,7,9,13,14],[2,5,6,9,10,11,13],[2,8,9,11,12,13,14],[3,4,5,7,8,9,13],[3,4,6,8,10,11,14],[3,4,6,9,10,12,14],[3,5,6,7,11,12,14],[3,5,6,8,10,12,13],[4,5,7,8,9,11,12]]; G[2031]:=Group([(1,2,3)(5,8,11)(6,10,13)(7,9,12)]); # Design 2032: autom. group order 3, simple, residual B[2032]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,9,11],[1,2,5,6,7,8,14],[1,2,6,9,12,13,14],[1,3,5,9,12,13,14],[1,3,6,7,10,12,13],[1,4,5,7,10,11,12],[1,4,6,8,11,12,14],[1,4,8,10,11,13,14],[1,5,7,9,10,11,14],[1,6,7,8,9,10,13],[2,3,7,8,10,12,14],[2,3,7,10,11,13,14],[2,4,5,6,10,12,14],[2,4,5,9,10,13,14],[2,4,6,7,9,11,13],[2,5,7,8,11,12,13],[2,6,8,9,10,11,12],[3,4,5,6,8,10,13],[3,4,6,7,9,11,14],[3,4,7,8,9,12,14],[3,5,6,8,11,13,14],[3,5,6,9,10,11,12],[4,5,7,8,9,12,13]]; G[2032]:=Group([(2,11,13)(3,4,12)(5,10,6)(8,14,9)]); # Design 2033: autom. group order 3, simple, residual B[2033]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,7,9,12,13],[1,3,6,7,11,13,14],[1,4,5,10,11,12,14],[1,4,6,7,10,12,14],[1,4,7,8,10,11,13],[1,5,8,9,12,13,14],[1,6,8,9,10,11,13],[2,3,7,9,10,11,12],[2,3,8,10,12,13,14],[2,4,5,6,9,11,13],[2,4,5,7,8,13,14],[2,4,7,9,10,13,14],[2,5,6,10,11,12,13],[2,6,7,8,11,12,14],[3,4,5,6,8,10,12],[3,4,6,8,9,11,14],[3,4,6,9,12,13,14],[3,5,6,7,8,10,13],[3,5,7,9,10,11,14],[4,5,7,8,9,11,12]]; G[2033]:=Group([(1,2,3)(5,8,11)(6,10,13)(7,9,12)]); # Design 2034: autom. group order 3, simple B[2034]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,7,10,12,13],[1,3,6,10,11,13,14],[1,4,5,9,10,11,14],[1,4,6,7,9,12,14],[1,4,8,9,11,12,13],[1,5,7,8,10,13,14],[1,6,7,8,9,11,13],[2,3,7,8,9,13,14],[2,3,7,9,10,11,12],[2,4,5,6,7,11,13],[2,4,5,8,12,13,14],[2,4,7,9,10,13,14],[2,5,6,9,10,11,13],[2,6,8,10,11,12,14],[3,4,5,6,8,9,10],[3,4,6,7,8,11,14],[3,4,6,10,12,13,14],[3,5,6,8,9,12,13],[3,5,7,9,11,12,14],[4,5,7,8,10,11,12]]; G[2034]:=Group([(1,2,3)(5,8,11)(6,9,13)(7,10,12)]); # Design 2035: autom. group order 3, simple, residual B[2035]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,6,9,10,11,13],[1,4,5,7,9,11,12],[1,4,7,8,11,13,14],[1,4,7,9,10,13,14],[1,5,6,8,9,10,14],[1,6,7,8,10,11,12],[2,3,6,7,8,9,13],[2,3,7,9,10,11,14],[2,4,5,6,10,11,14],[2,4,5,7,8,10,13],[2,4,6,10,12,13,14],[2,5,7,9,10,11,12],[2,8,9,11,12,13,14],[3,4,5,8,9,12,14],[3,4,6,7,9,12,14],[3,4,6,8,10,11,12],[3,5,6,7,11,13,14],[3,5,7,8,10,12,13],[4,5,6,8,9,11,13]]; G[2035]:=Group([(1,2,3)(5,8,11)(6,9,13)(7,10,12)]); # Design 2036: autom. group order 3, simple, residual B[2036]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,6,9,10,11,13],[1,4,5,7,9,11,14],[1,4,7,8,10,11,13],[1,4,7,9,12,13,14],[1,5,6,8,9,10,14],[1,6,7,8,10,11,12],[2,3,6,7,8,9,13],[2,3,7,9,10,11,14],[2,4,5,6,10,11,12],[2,4,5,8,10,13,14],[2,4,6,7,10,13,14],[2,5,7,9,10,11,12],[2,8,9,11,12,13,14],[3,4,5,7,8,9,12],[3,4,6,8,11,12,14],[3,4,6,9,10,12,14],[3,5,6,7,11,13,14],[3,5,7,8,10,12,13],[4,5,6,8,9,11,13]]; G[2036]:=Group([(1,2,3)(5,8,11)(6,9,13)(7,10,12)]); # Design 2037: autom. group order 3, simple B[2037]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,12,13,14],[1,3,5,7,9,11,13],[1,3,9,10,12,13,14],[1,4,5,6,10,11,14],[1,4,6,7,8,9,13],[1,4,7,9,10,11,14],[1,5,7,8,10,12,14],[1,6,8,10,11,12,13],[2,3,6,7,9,10,14],[2,3,7,8,10,11,12],[2,4,5,8,10,13,14],[2,4,5,9,12,13,14],[2,4,6,9,10,11,12],[2,5,6,7,10,11,13],[2,7,8,9,11,13,14],[3,4,5,7,10,12,13],[3,4,6,7,8,12,14],[3,4,6,8,11,13,14],[3,5,6,8,9,10,13],[3,5,6,9,11,12,14],[4,5,7,8,9,11,12]]; G[2037]:=Group([(1,2,3)(5,8,11)(6,10,13)(7,9,12)]); # Design 2038: autom. group order 3, simple B[2038]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,8,10,11,13],[1,3,5,7,10,12,13],[1,3,7,8,9,12,14],[1,4,5,6,7,10,11],[1,4,6,8,12,13,14],[1,4,7,9,10,13,14],[1,5,9,10,11,13,14],[1,6,7,8,9,11,12],[2,3,6,9,10,13,14],[2,3,7,9,10,11,12],[2,4,5,7,8,9,13],[2,4,5,8,10,12,14],[2,4,6,7,9,11,14],[2,5,7,11,12,13,14],[2,6,7,8,10,12,13],[3,4,5,6,9,12,13],[3,4,6,10,11,12,14],[3,4,7,8,11,13,14],[3,5,6,7,8,10,14],[3,5,6,8,9,11,13],[4,5,8,9,10,11,12]]; G[2038]:=Group([(1,5,8)(2,14,3)(4,12,7)(6,10,9)]); # Design 2039: autom. group order 3, simple, residual B[2039]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,7,9,11,13,14],[1,4,5,6,10,11,14],[1,4,6,7,10,12,14],[1,4,8,9,10,11,12],[1,5,8,9,12,13,14],[1,6,7,8,10,11,13],[2,3,6,9,10,11,12],[2,3,7,8,10,12,14],[2,4,5,7,11,12,13],[2,4,5,8,10,13,14],[2,4,7,9,10,13,14],[2,5,6,9,10,11,13],[2,6,7,8,11,12,14],[3,4,5,6,7,8,9],[3,4,6,8,11,13,14],[3,4,6,9,12,13,14],[3,5,6,8,10,12,13],[3,5,7,9,10,11,14],[4,5,7,8,9,11,12]]; G[2039]:=Group([(1,2,3)(5,8,11)(6,10,13)(7,9,12)]); # Design 2040: autom. group order 3, simple, residual B[2040]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,8,9,12,13],[1,3,5,7,9,10,13],[1,3,7,9,11,13,14],[1,4,5,6,10,11,14],[1,4,6,7,10,12,14],[1,4,8,9,10,11,12],[1,5,7,8,12,13,14],[1,6,7,8,10,11,13],[2,3,6,7,10,11,12],[2,3,7,8,10,12,14],[2,4,5,7,11,12,13],[2,4,5,8,10,13,14],[2,4,7,9,10,13,14],[2,5,6,9,10,11,13],[2,6,7,8,9,11,14],[3,4,5,6,7,8,9],[3,4,6,8,11,13,14],[3,4,6,9,12,13,14],[3,5,6,8,10,12,13],[3,5,9,10,11,12,14],[4,5,7,8,9,11,12]]; G[2040]:=Group([(1,2,3)(5,8,11)(6,10,13)(7,9,12)]); # Design 2041: autom. group order 3, simple, residual B[2041]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,8,12],[1,2,6,9,12,13,14],[1,3,5,9,11,12,13],[1,3,7,9,10,13,14],[1,4,5,6,10,11,14],[1,4,7,8,10,12,13],[1,4,7,10,11,12,14],[1,5,6,8,9,10,13],[1,6,7,8,9,11,14],[2,3,6,7,10,12,14],[2,3,7,8,9,10,11],[2,4,5,7,9,13,14],[2,4,5,8,10,13,14],[2,4,6,7,9,11,13],[2,5,9,10,11,12,14],[2,6,8,10,11,12,13],[3,4,5,6,9,10,12],[3,4,6,8,9,12,14],[3,4,6,8,11,13,14],[3,5,6,7,10,11,13],[3,5,7,8,12,13,14],[4,5,7,8,9,11,12]]; G[2041]:=Group([(1,2,3)(5,8,11)(6,10,13)(7,9,12)]); # Design 2042: autom. group order 3, simple, residual B[2042]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,12,13,14],[1,3,5,7,9,11,13],[1,3,9,10,12,13,14],[1,4,5,6,10,11,14],[1,4,7,8,9,10,13],[1,4,7,10,11,12,14],[1,5,6,8,10,12,13],[1,6,7,8,9,11,14],[2,3,6,7,9,10,14],[2,3,7,8,10,11,12],[2,4,5,7,9,13,14],[2,4,5,8,10,13,14],[2,4,6,9,11,12,13],[2,5,9,10,11,12,14],[2,6,7,8,10,11,13],[3,4,5,6,7,10,12],[3,4,6,8,9,12,14],[3,4,6,8,11,13,14],[3,5,6,9,10,11,13],[3,5,7,8,12,13,14],[4,5,7,8,9,11,12]]; G[2042]:=Group([(1,2,3)(5,8,11)(6,10,13)(7,9,12)]); # Design 2043: autom. group order 3, simple, residual B[2043]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,7,9,11,13],[1,3,7,10,12,13,14],[1,4,5,7,10,12,14],[1,4,6,7,9,10,11],[1,4,6,8,10,11,14],[1,5,6,8,10,12,13],[1,8,9,11,12,13,14],[2,3,6,9,10,12,14],[2,3,7,8,10,11,12],[2,4,5,9,10,12,13],[2,4,5,10,11,13,14],[2,4,7,8,9,13,14],[2,5,6,7,11,12,14],[2,6,7,8,10,11,13],[3,4,5,6,8,13,14],[3,4,6,7,8,12,13],[3,4,6,9,11,12,14],[3,5,6,9,10,11,13],[3,5,7,8,9,10,14],[4,5,7,8,9,11,12]]; G[2043]:=Group([(1,2,3)(5,8,11)(6,10,13)(7,9,12)]); # Design 2044: autom. group order 3, simple, residual B[2044]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,12,13,14],[1,3,5,7,9,11,13],[1,3,9,10,12,13,14],[1,4,5,9,10,12,14],[1,4,6,7,10,11,12],[1,4,6,8,10,11,14],[1,5,6,7,8,10,13],[1,7,8,9,11,13,14],[2,3,6,7,9,10,14],[2,3,7,8,10,11,12],[2,4,5,7,9,10,13],[2,4,5,10,11,13,14],[2,4,7,8,12,13,14],[2,5,6,9,11,12,14],[2,6,8,9,10,11,13],[3,4,5,6,8,13,14],[3,4,6,7,9,11,14],[3,4,6,8,9,12,13],[3,5,6,10,11,12,13],[3,5,7,8,10,12,14],[4,5,7,8,9,11,12]]; G[2044]:=Group([(1,2,3)(5,8,11)(6,10,13)(7,9,12)]); # Design 2045: autom. group order 3, simple B[2045]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,12,13,14],[1,2,6,8,9,12,14],[1,3,5,7,9,10,13],[1,3,7,8,10,12,14],[1,4,5,9,10,11,12],[1,4,6,7,8,11,13],[1,4,6,9,10,13,14],[1,5,6,7,8,9,11],[1,7,10,11,12,13,14],[2,3,6,7,9,10,12],[2,3,7,9,11,13,14],[2,4,5,7,9,13,14],[2,4,5,8,10,12,13],[2,4,7,8,10,11,14],[2,5,6,7,10,11,12],[2,6,8,9,10,11,13],[3,4,5,6,10,11,14],[3,4,6,7,8,12,13],[3,4,6,9,11,12,14],[3,5,6,8,10,13,14],[3,5,8,9,11,12,13],[4,5,7,8,9,12,14]]; G[2045]:=Group([(1,2,10)(3,8,9)(5,11,13)(6,7,14)]); # Design 2046: autom. group order 3, simple B[2046]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,6,8,10,11,13],[1,3,5,7,10,12,13],[1,3,7,8,9,12,14],[1,4,5,7,9,10,11],[1,4,6,7,9,13,14],[1,4,6,8,12,13,14],[1,5,9,10,11,13,14],[1,6,7,8,10,11,12],[2,3,6,7,9,11,12],[2,3,6,9,10,13,14],[2,4,5,7,8,9,13],[2,4,5,8,10,12,14],[2,4,6,7,10,11,14],[2,5,7,11,12,13,14],[2,7,8,9,10,12,13],[3,4,5,6,10,12,13],[3,4,7,8,11,13,14],[3,4,9,10,11,12,14],[3,5,6,7,8,10,14],[3,5,6,8,9,11,13],[4,5,6,8,9,11,12]]; G[2046]:=Group([(1,5,8)(2,14,3)(4,12,7)(6,10,9)]); # Design 2047: autom. group order 3, simple, residual B[2047]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,8,9],[1,2,6,10,11,12,14],[1,3,5,9,10,12,14],[1,3,7,9,10,11,13],[1,4,5,7,10,12,13],[1,4,6,7,9,13,14],[1,4,6,8,11,13,14],[1,5,8,9,12,13,14],[1,6,7,8,10,11,12],[2,3,6,7,12,13,14],[2,3,6,9,10,13,14],[2,4,5,7,10,11,14],[2,4,5,9,11,12,13],[2,4,7,8,9,12,14],[2,5,6,8,10,12,13],[2,7,8,9,10,11,13],[3,4,5,6,8,10,13],[3,4,6,8,9,11,12],[3,4,7,8,10,12,14],[3,5,6,7,9,11,12],[3,5,7,8,11,13,14],[4,5,6,9,10,11,14]]; G[2047]:=Group([(1,4,10)(2,8,9)(5,12,13)(6,14,11)]); # Design 2048: autom. group order 3, simple, residual B[2048]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,7,10,12,13],[1,3,7,10,11,12,14],[1,4,5,9,11,13,14],[1,4,6,7,8,10,11],[1,4,6,9,10,13,14],[1,5,7,8,9,10,13],[1,6,8,11,12,13,14],[2,3,6,8,10,13,14],[2,3,6,9,10,11,13],[2,4,5,7,8,13,14],[2,4,5,9,10,11,12],[2,4,7,10,12,13,14],[2,5,6,7,10,11,14],[2,7,8,9,11,12,13],[3,4,5,6,8,12,13],[3,4,6,7,9,12,14],[3,4,7,8,9,11,14],[3,5,6,7,9,11,13],[3,5,8,9,10,12,14],[4,5,6,8,10,11,12]]; G[2048]:=Group([(1,2,3)(5,8,11)(6,10,12)(7,9,13)]); # Design 2049: autom. group order 3, simple, residual B[2049]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,10,12,13,14],[1,3,5,7,10,12,14],[1,3,7,9,11,12,13],[1,4,5,9,10,13,14],[1,4,6,7,10,11,14],[1,4,6,8,9,13,14],[1,5,7,8,9,11,13],[1,6,7,8,10,11,12],[2,3,6,7,8,13,14],[2,3,6,7,9,10,13],[2,4,5,7,9,10,12],[2,4,5,7,11,13,14],[2,4,8,10,11,12,13],[2,5,6,9,11,12,14],[2,7,8,9,10,11,14],[3,4,5,6,8,10,11],[3,4,6,9,11,12,14],[3,4,7,8,9,12,14],[3,5,6,9,10,11,13],[3,5,8,10,12,13,14],[4,5,6,7,8,12,13]]; G[2049]:=Group([(1,10,14)(3,9,11)(4,7,5)(6,12,13)]); # Design 2050: autom. group order 3, simple, residual B[2050]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,6,8,10,12,14],[1,3,5,9,10,12,14],[1,3,7,9,10,11,13],[1,4,5,7,11,12,14],[1,4,6,7,8,9,11],[1,4,6,7,10,13,14],[1,5,7,8,10,12,13],[1,6,8,9,11,13,14],[2,3,6,7,9,12,13],[2,3,6,7,10,11,14],[2,4,5,7,8,9,10],[2,4,5,9,11,13,14],[2,4,7,8,12,13,14],[2,5,6,8,10,11,13],[2,7,9,10,11,12,14],[3,4,5,6,10,13,14],[3,4,6,8,9,12,14],[3,4,8,10,11,12,13],[3,5,6,7,8,11,12],[3,5,7,8,9,13,14],[4,5,6,9,10,11,12]]; G[2050]:=Group([(1,3,7)(2,6,4)(8,12,14)(9,13,10)]); # Design 2051: autom. group order 3, simple, residual B[2051]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,12,13,14],[1,2,6,8,9,12,14],[1,3,5,9,10,11,13],[1,3,7,10,12,13,14],[1,4,5,7,8,9,14],[1,4,6,7,8,10,13],[1,4,6,7,9,11,12],[1,5,7,8,10,11,12],[1,6,9,10,11,13,14],[2,3,6,7,8,11,13],[2,3,6,7,9,10,12],[2,4,5,7,10,13,14],[2,4,5,9,10,11,12],[2,4,7,9,11,13,14],[2,5,6,8,9,10,13],[2,7,8,10,11,12,14],[3,4,5,6,10,12,14],[3,4,6,8,10,11,14],[3,4,8,9,12,13,14],[3,5,6,7,9,11,14],[3,5,7,8,9,12,13],[4,5,6,8,11,12,13]]; G[2051]:=Group([(1,3,7)(2,6,4)(8,11,9)(10,13,12)]); # Design 2052: autom. group order 3, simple, residual B[2052]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,10,12,13,14],[1,3,5,9,10,13,14],[1,3,7,10,11,12,14],[1,4,5,7,10,11,13],[1,4,6,7,8,12,13],[1,4,6,7,9,11,14],[1,5,7,8,9,10,12],[1,6,8,9,11,13,14],[2,3,6,7,8,10,11],[2,3,6,7,9,13,14],[2,4,5,7,8,13,14],[2,4,5,9,11,12,14],[2,4,7,9,10,12,14],[2,5,6,10,11,12,13],[2,7,8,9,10,11,13],[3,4,5,6,9,10,13],[3,4,6,8,10,12,14],[3,4,8,9,11,12,13],[3,5,6,7,9,11,12],[3,5,7,8,12,13,14],[4,5,6,8,10,11,14]]; G[2052]:=Group([(1,3,7)(2,6,4)(8,9,13)(10,14,12)]); # Design 2053: autom. group order 3, simple, residual B[2053]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,6,8,12,13,14],[1,3,5,9,10,13,14],[1,3,7,9,11,12,13],[1,4,5,7,10,11,13],[1,4,6,7,8,11,14],[1,4,6,9,10,12,14],[1,5,7,8,10,12,14],[1,6,8,9,10,11,13],[2,3,6,7,10,11,14],[2,3,7,8,9,10,12],[2,4,5,6,8,9,13],[2,4,5,9,10,11,14],[2,4,7,10,12,13,14],[2,5,6,10,11,12,13],[2,7,8,9,11,13,14],[3,4,5,8,12,13,14],[3,4,6,7,9,13,14],[3,4,6,8,10,11,12],[3,5,6,7,8,10,13],[3,5,6,9,11,12,14],[4,5,7,8,9,11,12]]; G[2053]:=Group([(1,2,3)(5,8,11)(6,10,13)(7,9,12)]); # Design 2054: autom. group order 3, simple B[2054]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,10,13,14],[1,3,5,9,10,13,14],[1,3,7,8,9,12,13],[1,4,5,10,11,12,14],[1,4,6,7,9,11,14],[1,4,7,8,12,13,14],[1,5,6,10,11,12,13],[1,6,7,8,9,10,11],[2,3,6,7,10,12,14],[2,3,6,9,11,12,14],[2,4,5,6,8,10,13],[2,4,5,7,9,13,14],[2,4,7,8,10,11,12],[2,5,7,9,11,12,13],[2,8,9,10,11,13,14],[3,4,5,7,9,10,11],[3,4,6,8,11,13,14],[3,4,6,9,10,12,13],[3,5,6,7,8,11,13],[3,5,7,8,10,12,14],[4,5,6,8,9,12,14]]; G[2054]:=Group([(1,8,9)(2,10,3)(5,11,13)(6,7,12)]); # Design 2055: autom. group order 3, simple B[2055]:=[[1,2,3,4,5,6,7],[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],[1,2,6,10,12,13,14],[1,3,5,7,11,12,14],[1,3,7,8,10,12,13],[1,4,5,9,11,12,13],[1,4,6,8,9,11,14],[1,4,7,8,10,12,14],[1,5,6,7,9,10,13],[1,6,7,8,9,11,13],[2,3,6,7,8,11,13],[2,3,6,9,12,13,14],[2,4,5,6,7,8,12],[2,4,5,8,10,11,13],[2,4,7,9,10,13,14],[2,5,7,9,10,11,12],[2,7,8,9,11,12,14],[3,4,5,7,9,13,14],[3,4,6,7,10,11,14],[3,4,6,9,10,11,12],[3,5,6,8,9,10,12],[3,5,8,10,11,13,14],[4,5,6,8,12,13,14]]; G[2055]:=Group([(1,7,11)(2,4,10)(3,14,5)(8,9,13)]); # Design 2056: autom. group order 3, simple B[2056]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,10,13,14],[1,3,5,7,9,10,14],[1,3,7,8,9,12,13],[1,4,5,10,11,12,14],[1,4,6,9,11,13,14],[1,4,7,8,12,13,14],[1,5,6,7,10,11,12],[1,6,8,9,10,11,13],[2,3,6,9,11,12,14],[2,3,6,10,12,13,14],[2,4,5,7,9,13,14],[2,4,5,8,10,11,13],[2,4,6,7,8,10,12],[2,5,7,9,11,12,13],[2,7,8,9,10,11,14],[3,4,5,6,9,10,13],[3,4,6,7,8,11,14],[3,4,7,9,10,11,12],[3,5,6,7,8,11,13],[3,5,8,10,12,13,14],[4,5,6,8,9,12,14]]; G[2056]:=Group([(1,8,9)(2,10,3)(5,11,7)(6,13,12)]); # Design 2057: autom. group order 3, simple, residual B[2057]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,14],[1,2,6,7,8,12,14],[1,3,5,7,9,12,13],[1,3,9,10,11,12,14],[1,4,5,8,10,13,14],[1,4,6,8,9,11,13],[1,4,7,10,12,13,14],[1,5,6,7,10,11,12],[1,6,7,8,9,11,13],[2,3,6,7,9,13,14],[2,3,6,8,10,12,13],[2,4,5,7,8,11,12],[2,4,5,7,9,10,13],[2,4,6,9,10,11,12],[2,5,9,11,12,13,14],[2,7,8,10,11,13,14],[3,4,5,6,11,13,14],[3,4,6,7,10,11,14],[3,4,7,8,9,12,14],[3,5,6,8,10,12,13],[3,5,7,8,9,10,11],[4,5,6,8,9,12,14]]; G[2057]:=Group([(1,9,11)(3,10,12)(6,13,8)]); # Design 2058: autom. group order 3, simple B[2058]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,6,7,9,12,14],[1,3,5,7,8,10,13],[1,3,7,10,11,12,14],[1,4,5,9,10,13,14],[1,4,6,7,8,13,14],[1,4,7,8,9,11,12],[1,5,6,9,10,11,14],[1,6,8,10,11,12,13],[2,3,6,8,9,10,12],[2,3,7,9,10,13,14],[2,4,5,6,7,10,11],[2,4,5,8,12,13,14],[2,4,6,8,10,11,14],[2,5,7,10,11,12,13],[2,7,8,9,11,13,14],[3,4,5,9,11,12,14],[3,4,6,7,9,11,13],[3,4,6,10,12,13,14],[3,5,6,7,8,12,14],[3,5,6,8,9,11,13],[4,5,7,8,9,10,12]]; G[2058]:=Group([(1,8,13)(3,14,12)(4,11,5)(6,10,7)]); # Design 2059: autom. group order 3, simple, residual B[2059]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,6,8,12,13,14],[1,3,5,9,10,13,14],[1,3,7,9,11,12,13],[1,4,5,10,11,12,14],[1,4,6,7,10,12,14],[1,4,7,8,10,11,13],[1,5,6,8,9,10,13],[1,6,7,8,9,11,14],[2,3,6,7,10,11,14],[2,3,7,8,9,10,12],[2,4,5,6,9,11,13],[2,4,5,7,8,13,14],[2,4,7,9,10,13,14],[2,5,9,10,11,12,14],[2,6,8,10,11,12,13],[3,4,5,6,8,10,12],[3,4,6,8,9,11,14],[3,4,6,9,12,13,14],[3,5,6,7,10,11,13],[3,5,7,8,12,13,14],[4,5,7,8,9,11,12]]; G[2059]:=Group([(1,2,3)(5,8,11)(6,10,13)(7,9,12)]); # Design 2060: autom. group order 3, simple B[2060]:=[[1,2,3,4,5,6,7],[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],[1,2,8,10,11,12,14],[1,3,5,6,10,11,13],[1,3,6,9,12,13,14],[1,4,5,7,8,12,13],[1,4,6,7,9,10,14],[1,4,6,8,10,11,12],[1,5,7,8,9,12,13],[1,7,9,10,11,13,14],[2,3,6,7,10,12,13],[2,3,7,8,11,13,14],[2,4,5,7,10,12,14],[2,4,5,9,10,11,13],[2,4,6,9,12,13,14],[2,5,6,8,9,10,13],[2,6,7,8,9,11,12],[3,4,5,9,11,12,14],[3,4,6,7,8,9,11],[3,4,7,8,10,13,14],[3,5,6,8,10,12,14],[3,5,7,9,10,11,12],[4,5,6,8,11,13,14]]; G[2060]:=Group([(1,7,8)(2,14,11)(3,10,6)(5,13,12)]); # Design 2061: autom. group order 3, simple, residual B[2061]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,7,8,10,11,12],[1,3,5,6,9,10,13],[1,3,6,7,12,13,14],[1,4,5,10,12,13,14],[1,4,6,8,10,11,13],[1,4,7,8,9,13,14],[1,5,6,7,8,9,11],[1,7,9,10,11,12,14],[2,3,6,8,10,12,14],[2,3,7,9,11,13,14],[2,4,5,7,8,13,14],[2,4,5,7,9,10,12],[2,4,6,9,11,12,13],[2,5,6,7,10,11,13],[2,6,8,9,10,13,14],[3,4,5,9,10,11,14],[3,4,6,7,8,9,12],[3,4,6,7,10,11,14],[3,5,7,8,10,12,13],[3,5,8,9,11,12,13],[4,5,6,8,11,12,14]]; G[2061]:=Group([(1,5,6)(2,7,3)(8,10,12)(11,13,14)]); # Design 2062: autom. group order 3, simple B[2062]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,8,9],[1,2,9,10,11,12,14],[1,3,5,6,10,11,13],[1,3,6,7,10,12,14],[1,4,5,9,10,13,14],[1,4,6,8,9,12,14],[1,4,7,8,11,13,14],[1,5,7,9,11,12,13],[1,6,7,8,10,12,13],[2,3,6,8,12,13,14],[2,3,7,9,10,13,14],[2,4,5,6,9,12,13],[2,4,5,7,10,12,14],[2,4,6,7,11,13,14],[2,5,7,8,10,11,12],[2,6,8,9,10,11,13],[3,4,5,8,10,12,13],[3,4,6,7,9,10,11],[3,4,7,8,9,11,12],[3,5,6,9,11,12,14],[3,5,7,8,9,13,14],[4,5,6,8,10,11,14]]; G[2062]:=Group([(1,5,12)(2,10,6)(3,4,14)(9,11,13)]); # Design 2063: autom. group order 3, simple, residual B[2063]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,7,9,12,13,14],[1,3,5,6,10,11,13],[1,3,6,9,10,12,14],[1,4,5,7,11,12,14],[1,4,6,7,8,13,14],[1,4,7,9,10,11,13],[1,5,8,9,10,13,14],[1,6,7,8,10,11,12],[2,3,6,7,10,13,14],[2,3,7,8,9,11,13],[2,4,5,6,10,12,13],[2,4,5,7,8,10,14],[2,4,6,9,10,11,14],[2,5,7,9,10,11,12],[2,6,8,11,12,13,14],[3,4,5,9,12,13,14],[3,4,6,7,8,9,12],[3,4,8,10,11,12,14],[3,5,6,7,9,11,14],[3,5,7,8,10,12,13],[4,5,6,8,9,11,13]]; G[2063]:=Group([(1,2,3)(5,8,11)(6,9,13)(7,10,12)]); # Design 2064: autom. group order 3, simple, residual B[2064]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,8,9,10,12,14],[1,3,5,6,7,10,14],[1,3,6,9,10,11,13],[1,4,5,10,11,13,14],[1,4,6,7,8,11,12],[1,4,7,9,12,13,14],[1,5,7,8,9,13,14],[1,6,7,8,10,11,12],[2,3,6,7,8,9,13],[2,3,7,11,12,13,14],[2,4,5,6,8,12,14],[2,4,5,7,9,10,11],[2,4,6,7,10,13,14],[2,5,7,9,10,11,12],[2,6,8,10,11,13,14],[3,4,5,8,10,12,13],[3,4,6,9,10,12,14],[3,4,7,8,9,11,14],[3,5,6,9,11,12,14],[3,5,7,8,10,12,13],[4,5,6,8,9,11,13]]; G[2064]:=Group([(1,2,3)(5,8,11)(6,9,13)(7,10,12)]); # Design 2065: autom. group order 3, simple, residual B[2065]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,6,7,10,12],[1,3,6,10,11,13,14],[1,4,5,9,10,11,13],[1,4,6,7,8,11,14],[1,4,7,9,12,13,14],[1,5,7,8,10,13,14],[1,6,8,9,11,12,13],[2,3,7,8,9,13,14],[2,3,7,10,11,12,13],[2,4,5,6,8,12,13],[2,4,5,9,10,11,14],[2,4,6,7,10,13,14],[2,5,6,7,9,11,13],[2,6,8,10,11,12,14],[3,4,5,8,12,13,14],[3,4,6,7,8,9,11],[3,4,6,9,10,12,14],[3,5,6,8,9,10,13],[3,5,7,9,11,12,14],[4,5,7,8,10,11,12]]; G[2065]:=Group([(1,2,3)(5,8,11)(6,9,13)(7,10,12)]); # Design 2066: autom. group order 3, simple, residual B[2066]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,8,9,10,12,14],[1,3,5,6,7,10,14],[1,3,6,9,10,11,13],[1,4,5,7,9,11,12],[1,4,7,8,11,13,14],[1,4,7,9,10,13,14],[1,5,6,8,12,13,14],[1,6,7,8,10,11,12],[2,3,6,7,8,9,13],[2,3,7,11,12,13,14],[2,4,5,6,10,11,14],[2,4,5,7,8,10,13],[2,4,6,10,12,13,14],[2,5,7,9,10,11,12],[2,6,7,8,9,11,14],[3,4,5,8,9,12,14],[3,4,6,7,9,12,14],[3,4,6,8,10,11,12],[3,5,7,8,10,12,13],[3,5,9,10,11,13,14],[4,5,6,8,9,11,13]]; G[2066]:=Group([(1,2,3)(5,8,11)(6,9,13)(7,10,12)]); # Design 2067: autom. group order 3, simple, residual B[2067]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,8,9,10,12,14],[1,3,5,6,7,10,14],[1,3,6,9,10,11,13],[1,4,5,7,9,11,14],[1,4,7,8,10,11,13],[1,4,7,9,12,13,14],[1,5,6,8,12,13,14],[1,6,7,8,10,11,12],[2,3,6,7,8,9,13],[2,3,7,11,12,13,14],[2,4,5,6,10,11,12],[2,4,5,8,10,13,14],[2,4,6,7,10,13,14],[2,5,7,9,10,11,12],[2,6,7,8,9,11,14],[3,4,5,7,8,9,12],[3,4,6,8,11,12,14],[3,4,6,9,10,12,14],[3,5,7,8,10,12,13],[3,5,9,10,11,13,14],[4,5,6,8,9,11,13]]; G[2067]:=Group([(1,2,3)(5,8,11)(6,9,13)(7,10,12)]); # Design 2068: autom. group order 3, simple B[2068]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,6,7,9,12],[1,3,9,10,11,13,14],[1,4,5,6,9,10,11],[1,4,6,8,11,12,14],[1,4,7,10,12,13,14],[1,5,7,8,9,13,14],[1,6,7,8,10,11,13],[2,3,6,7,8,10,14],[2,3,7,9,11,12,13],[2,4,5,7,10,11,14],[2,4,5,8,10,12,13],[2,4,6,7,9,13,14],[2,5,6,9,10,11,13],[2,6,8,9,11,12,14],[3,4,5,8,9,13,14],[3,4,6,7,8,11,13],[3,4,6,9,10,12,14],[3,5,6,8,10,12,13],[3,5,7,10,11,12,14],[4,5,7,8,9,11,12]]; G[2068]:=Group([(1,2,3)(5,8,11)(6,10,13)(7,9,12)]); # Design 2069: autom. group order 3, simple, residual B[2069]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,7,9,12,13,14],[1,3,5,6,7,10,12],[1,3,7,9,10,11,14],[1,4,5,7,9,11,13],[1,4,6,8,10,13,14],[1,4,6,10,11,13,14],[1,5,8,9,11,12,14],[1,6,7,8,9,10,12],[2,3,6,7,9,13,14],[2,3,6,10,11,12,14],[2,4,5,7,8,10,14],[2,4,5,9,10,12,14],[2,4,6,7,8,9,11],[2,5,6,9,10,11,13],[2,7,8,10,11,12,13],[3,4,5,9,10,12,13],[3,4,6,8,9,11,12],[3,4,7,8,12,13,14],[3,5,6,8,9,13,14],[3,5,7,8,10,11,13],[4,5,6,7,11,12,14]]; G[2069]:=Group([(1,4,13)(2,3,12)(5,9,7)(6,10,14)]); # Design 2070: autom. group order 3, simple, residual B[2070]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,8,10,12,13,14],[1,3,5,6,9,10,14],[1,3,7,10,11,12,13],[1,4,5,9,11,13,14],[1,4,6,7,8,10,11],[1,4,6,9,12,13,14],[1,5,7,8,10,12,14],[1,6,7,8,9,11,13],[2,3,6,7,11,12,14],[2,3,6,8,9,10,13],[2,4,5,7,8,13,14],[2,4,5,9,10,11,12],[2,4,6,7,10,13,14],[2,5,7,9,10,11,13],[2,6,8,9,11,12,14],[3,4,5,6,8,12,13],[3,4,7,8,9,11,14],[3,4,7,9,10,12,14],[3,5,6,10,11,13,14],[3,5,7,8,9,12,13],[4,5,6,8,10,11,12]]; G[2070]:=Group([(1,2,3)(5,8,11)(6,10,12)(7,9,13)]); # Design 2071: autom. group order 3, simple, residual B[2071]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,6,7,9,13],[1,3,9,10,11,12,14],[1,4,5,7,10,11,14],[1,4,6,7,10,12,14],[1,4,6,8,9,11,13],[1,5,8,9,12,13,14],[1,6,7,8,10,11,13],[2,3,6,7,8,9,14],[2,3,6,10,11,12,13],[2,4,5,7,9,11,12],[2,4,5,8,10,13,14],[2,4,6,9,10,13,14],[2,5,7,9,10,11,13],[2,6,7,8,11,12,14],[3,4,5,6,8,10,12],[3,4,7,8,11,13,14],[3,4,7,9,12,13,14],[3,5,6,9,10,11,14],[3,5,7,8,10,12,13],[4,5,6,8,9,11,12]]; G[2071]:=Group([(1,2,3)(5,8,11)(6,9,12)(7,10,13)]); # Design 2072: autom. group order 3, simple, residual B[2072]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,7,10,12,13,14],[1,3,5,6,8,12,14],[1,3,7,10,11,13,14],[1,4,5,7,9,10,12],[1,4,6,7,8,10,11],[1,4,6,8,9,13,14],[1,5,8,9,10,11,13],[1,6,7,9,11,12,14],[2,3,6,7,9,10,14],[2,3,7,8,9,11,12],[2,4,5,6,7,11,13],[2,4,5,9,10,11,14],[2,4,6,8,10,12,14],[2,5,7,8,9,13,14],[2,6,8,10,11,12,13],[3,4,5,10,12,13,14],[3,4,6,9,11,13,14],[3,4,7,8,9,12,13],[3,5,6,7,8,10,13],[3,5,6,9,10,11,12],[4,5,7,8,11,12,14]]; G[2072]:=Group([(1,4,12)(2,3,13)(5,9,10)(6,8,14)]); # Design 2073: autom. group order 3, simple, residual B[2073]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,7,8,9,10,13],[1,3,5,6,7,9,13],[1,3,7,10,11,12,14],[1,4,5,9,10,11,14],[1,4,6,7,10,13,14],[1,4,6,8,9,11,12],[1,5,7,8,12,13,14],[1,6,8,10,11,12,13],[2,3,6,8,10,13,14],[2,3,7,9,11,12,13],[2,4,5,6,10,11,13],[2,4,5,8,12,13,14],[2,4,7,9,10,12,14],[2,5,6,7,10,11,12],[2,6,7,8,9,11,14],[3,4,5,7,8,10,12],[3,4,6,7,8,11,14],[3,4,6,9,12,13,14],[3,5,6,8,9,10,12],[3,5,9,10,11,13,14],[4,5,7,8,9,11,13]]; G[2073]:=Group([(1,2,3)(5,8,11)(6,10,12)(7,9,13)]); # Design 2074: autom. group order 3, simple, residual B[2074]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,8,10,12,13,14],[1,3,5,6,9,10,14],[1,3,7,9,11,12,13],[1,4,5,10,11,12,14],[1,4,6,7,8,10,11],[1,4,6,9,12,13,14],[1,5,7,8,9,13,14],[1,6,7,8,10,11,13],[2,3,6,7,11,13,14],[2,3,7,8,9,10,12],[2,4,5,7,8,13,14],[2,4,5,9,10,11,13],[2,4,6,7,10,12,14],[2,5,6,9,10,11,13],[2,6,8,9,11,12,14],[3,4,5,6,8,12,13],[3,4,6,8,9,11,14],[3,4,7,9,10,13,14],[3,5,6,8,10,12,13],[3,5,7,10,11,12,14],[4,5,7,8,9,11,12]]; G[2074]:=Group([(1,2,3)(5,8,11)(6,10,13)(7,9,12)]); # Design 2075: autom. group order 3, simple, residual B[2075]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,8,9,10,12,13],[1,3,5,6,7,9,10],[1,3,7,9,11,13,14],[1,4,5,7,10,11,12],[1,4,6,8,10,11,14],[1,4,6,9,12,13,14],[1,5,7,8,12,13,14],[1,6,7,8,10,11,13],[2,3,6,7,11,12,13],[2,3,7,8,10,12,14],[2,4,5,7,8,9,13],[2,4,5,10,11,13,14],[2,4,6,7,10,12,14],[2,5,6,9,10,11,13],[2,6,7,8,9,11,14],[3,4,5,6,8,13,14],[3,4,6,8,9,11,12],[3,4,7,9,10,13,14],[3,5,6,8,10,12,13],[3,5,9,10,11,12,14],[4,5,7,8,9,11,12]]; G[2075]:=Group([(1,2,3)(5,8,11)(6,10,13)(7,9,12)]); # Design 2076: autom. group order 3, simple B[2076]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,8,9],[1,2,9,10,12,13,14],[1,3,5,6,10,12,13],[1,3,7,8,12,13,14],[1,4,5,9,11,12,14],[1,4,6,7,10,11,12],[1,4,7,8,9,11,13],[1,5,6,8,10,13,14],[1,6,7,9,10,11,14],[2,3,6,7,9,12,14],[2,3,6,9,10,11,13],[2,4,5,6,11,13,14],[2,4,5,7,10,12,14],[2,4,7,8,10,13,14],[2,5,8,9,10,11,12],[2,6,7,8,11,12,13],[3,4,5,7,9,10,13],[3,4,6,8,9,12,14],[3,4,6,8,10,11,14],[3,5,7,8,10,11,12],[3,5,7,9,11,13,14],[4,5,6,8,9,12,13]]; G[2076]:=Group([(2,11,13)(3,4,12)(5,7,10)(8,9,14)]); # Design 2077: autom. group order 3, simple, residual B[2077]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,7,10,12,13,14],[1,3,5,7,10,11,12],[1,3,6,9,10,13,14],[1,4,5,6,12,13,14],[1,4,6,7,9,10,11],[1,4,7,8,11,13,14],[1,5,7,8,9,10,13],[1,6,8,9,11,12,14],[2,3,6,7,9,12,14],[2,3,6,8,10,11,13],[2,4,5,7,9,11,14],[2,4,5,9,10,12,13],[2,4,6,7,8,10,14],[2,5,6,10,11,13,14],[2,7,8,9,11,12,13],[3,4,5,8,9,13,14],[3,4,6,7,8,12,13],[3,4,9,10,11,12,14],[3,5,6,7,9,11,13],[3,5,7,8,10,12,14],[4,5,6,8,10,11,12]]; G[2077]:=Group([(1,2,3)(5,8,11)(6,10,12)(7,9,13)]); # Design 2078: autom. group order 3, simple, residual B[2078]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,7,8,12,13,14],[1,3,5,9,10,13,14],[1,3,6,7,9,11,12],[1,4,5,6,11,13,14],[1,4,6,7,10,12,14],[1,4,7,8,9,10,11],[1,5,7,8,10,12,13],[1,6,8,9,11,13,14],[2,3,6,7,10,11,14],[2,3,6,8,9,12,13],[2,4,5,7,8,9,14],[2,4,5,10,11,12,13],[2,4,6,9,10,13,14],[2,5,7,9,11,12,14],[2,6,7,8,10,11,13],[3,4,5,6,7,8,13],[3,4,7,9,12,13,14],[3,4,8,10,11,12,14],[3,5,6,8,10,12,14],[3,5,7,9,10,11,13],[4,5,6,8,9,11,12]]; G[2078]:=Group([(1,2,3)(5,8,11)(6,9,12)(7,10,13)]); # Design 2079: autom. group order 3, simple B[2079]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,8,12],[1,2,9,10,12,13,14],[1,3,5,9,11,12,13],[1,3,6,7,9,10,14],[1,4,5,6,9,10,12],[1,4,6,8,11,13,14],[1,4,7,10,11,12,14],[1,5,7,8,9,13,14],[1,6,7,8,10,11,13],[2,3,6,7,12,13,14],[2,3,7,8,9,10,11],[2,4,5,6,10,11,14],[2,4,5,7,9,13,14],[2,4,7,8,10,12,13],[2,5,6,9,10,11,13],[2,6,8,9,11,12,14],[3,4,5,8,10,13,14],[3,4,6,7,9,11,13],[3,4,6,8,9,12,14],[3,5,6,8,10,12,13],[3,5,7,10,11,12,14],[4,5,7,8,9,11,12]]; G[2079]:=Group([(1,2,3)(5,8,11)(6,10,13)(7,9,12)]); # Design 2080: autom. group order 3, simple, residual B[2080]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,14],[1,2,7,9,12,13,14],[1,3,5,10,12,13,14],[1,3,6,7,8,9,11],[1,4,5,6,7,10,12],[1,4,6,8,9,12,14],[1,4,7,8,11,13,14],[1,5,7,9,10,11,13],[1,6,8,10,11,12,13],[2,3,6,9,10,11,13],[2,3,7,8,10,12,14],[2,4,5,6,11,13,14],[2,4,5,8,9,12,13],[2,4,7,9,10,11,12],[2,5,6,7,8,11,12],[2,6,7,8,10,13,14],[3,4,5,7,8,10,13],[3,4,6,7,9,13,14],[3,4,6,10,11,12,14],[3,5,6,8,9,12,13],[3,5,7,9,11,12,14],[4,5,8,9,10,11,14]]; G[2080]:=Group([(1,9,14)(2,6,12)(4,13,10)(5,8,7)]); # Design 2081: autom. group order 3, simple B[2081]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,11,12,14],[1,3,5,7,10,13,14],[1,3,6,9,10,11,13],[1,4,5,6,8,12,13],[1,4,6,7,8,10,14],[1,4,7,8,9,11,13],[1,5,9,10,11,12,14],[1,6,7,9,12,13,14],[2,3,6,7,11,13,14],[2,3,8,10,12,13,14],[2,4,5,7,9,11,14],[2,4,5,7,10,12,13],[2,4,6,9,10,13,14],[2,5,6,8,9,11,13],[2,6,7,8,9,10,12],[3,4,5,6,9,12,14],[3,4,6,8,11,12,14],[3,4,7,9,10,11,12],[3,5,6,7,8,10,11],[3,5,7,8,9,12,13],[4,5,8,10,11,13,14]]; G[2081]:=Group([(1,3,12)(2,4,11)(5,9,14)(6,10,8)]); # Design 2082: autom. group order 3, simple, residual B[2082]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,7,8,12,13,14],[1,3,5,9,10,13,14],[1,3,6,7,9,11,12],[1,4,5,6,11,13,14],[1,4,7,8,9,10,11],[1,4,7,9,12,13,14],[1,5,6,8,10,12,14],[1,6,7,8,10,11,13],[2,3,6,7,10,11,14],[2,3,6,8,9,12,13],[2,4,5,7,8,9,14],[2,4,5,10,11,12,13],[2,4,6,7,10,12,14],[2,5,7,9,10,11,13],[2,6,8,9,11,13,14],[3,4,5,6,7,8,13],[3,4,6,9,10,13,14],[3,4,8,10,11,12,14],[3,5,7,8,10,12,13],[3,5,7,9,11,12,14],[4,5,6,8,9,11,12]]; G[2082]:=Group([(1,2,3)(5,8,11)(6,9,12)(7,10,13)]); # Design 2083: autom. group order 3, simple, residual B[2083]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,7,9,10,12,14],[1,3,5,7,8,10,13],[1,3,6,9,11,12,14],[1,4,5,9,10,13,14],[1,4,6,7,8,13,14],[1,4,6,8,10,11,12],[1,5,6,7,10,11,14],[1,7,8,9,11,12,13],[2,3,6,7,8,10,12],[2,3,6,7,9,13,14],[2,4,5,6,9,10,11],[2,4,5,8,12,13,14],[2,4,7,8,9,11,14],[2,5,7,10,11,12,13],[2,6,8,10,11,13,14],[3,4,5,7,11,12,14],[3,4,6,10,12,13,14],[3,4,7,9,10,11,13],[3,5,6,8,9,11,13],[3,5,8,9,10,12,14],[4,5,6,7,8,9,12]]; G[2083]:=Group([(1,8,13)(3,14,12)(4,11,5)(6,9,10)]); # Design 2084: autom. group order 3, simple, residual B[2084]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,7,9,12,14],[1,3,6,7,10,11,13],[1,4,5,7,10,11,12],[1,4,6,7,9,10,14],[1,4,6,8,11,13,14],[1,5,6,8,10,13,14],[1,7,8,9,11,12,13],[2,3,6,7,12,13,14],[2,3,6,9,10,11,14],[2,4,5,7,8,13,14],[2,4,5,9,10,11,13],[2,4,6,7,8,10,12],[2,5,6,7,9,11,13],[2,7,8,10,11,12,14],[3,4,5,10,12,13,14],[3,4,6,8,9,12,13],[3,4,7,8,9,11,14],[3,5,6,8,10,11,12],[3,5,7,8,9,10,13],[4,5,6,9,11,12,14]]; G[2084]:=Group([(1,9,12)(2,8,13)(5,7,14)(6,11,10)]); # Design 2085: autom. group order 3, simple, residual B[2085]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,8,9,10,12,13],[1,3,5,7,9,12,14],[1,3,6,7,10,11,13],[1,4,5,10,11,13,14],[1,4,6,7,8,9,11],[1,4,6,7,10,12,14],[1,5,6,8,10,13,14],[1,7,8,9,11,12,14],[2,3,6,7,9,13,14],[2,3,6,10,11,12,14],[2,4,5,7,8,13,14],[2,4,5,7,9,10,11],[2,4,6,8,11,12,14],[2,5,6,7,8,10,12],[2,7,9,10,11,13,14],[3,4,5,9,10,12,14],[3,4,6,8,9,13,14],[3,4,7,8,10,12,13],[3,5,6,8,9,10,11],[3,5,7,8,11,12,13],[4,5,6,9,11,12,13]]; G[2085]:=Group([(1,2,7)(3,5,6)(8,10,11)(12,13,14)]); # Design 2086: autom. group order 3, simple, residual B[2086]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,14],[1,2,8,9,11,12,14],[1,3,5,7,9,12,13],[1,3,6,7,8,13,14],[1,4,5,10,11,12,13],[1,4,6,7,8,9,12],[1,4,6,7,10,11,14],[1,5,6,9,10,11,13],[1,7,8,10,12,13,14],[2,3,6,7,10,11,12],[2,3,6,10,12,13,14],[2,4,5,7,8,10,12],[2,4,5,7,9,13,14],[2,4,6,9,12,13,14],[2,5,6,7,8,11,13],[2,7,8,9,10,11,13],[3,4,5,8,10,13,14],[3,4,6,8,9,11,13],[3,4,7,9,10,11,14],[3,5,6,8,9,10,12],[3,5,7,9,11,12,14],[4,5,6,8,11,12,14]]; G[2086]:=Group([(1,2,7)(3,5,6)(9,10,12)(11,13,14)]); # Design 2087: autom. group order 3, simple B[2087]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,7,9,10,12],[1,3,6,7,8,9,13],[1,4,5,9,10,11,13],[1,4,6,7,8,11,12],[1,4,6,7,10,13,14],[1,5,6,8,10,11,14],[1,7,9,11,12,13,14],[2,3,6,7,10,12,14],[2,3,6,9,10,11,13],[2,4,5,7,8,12,13],[2,4,5,7,9,11,14],[2,4,6,8,9,13,14],[2,5,6,7,10,11,13],[2,7,8,9,10,11,12],[3,4,5,10,12,13,14],[3,4,6,9,11,12,14],[3,4,7,8,10,11,14],[3,5,6,8,11,12,13],[3,5,7,8,9,13,14],[4,5,6,8,9,10,12]]; G[2087]:=Group([(1,2,7)(3,5,6)(8,11,13)(9,14,10)]); # Design 2088: autom. group order 3, simple B[2088]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,9,10,11,13,14],[1,3,5,7,10,12,13],[1,3,6,7,8,10,11],[1,4,5,9,10,13,14],[1,4,6,7,9,11,13],[1,4,6,7,10,12,14],[1,5,6,8,12,13,14],[1,7,8,9,11,12,14],[2,3,6,7,9,13,14],[2,3,6,9,10,12,14],[2,4,5,7,8,13,14],[2,4,5,7,9,11,12],[2,4,6,8,10,12,13],[2,5,6,7,10,11,14],[2,7,8,10,11,12,13],[3,4,5,10,11,12,14],[3,4,6,8,11,13,14],[3,4,7,8,9,12,14],[3,5,6,9,11,12,13],[3,5,7,8,9,10,13],[4,5,6,8,9,10,11]]; G[2088]:=Group([(1,2,7)(3,5,6)(8,14,10)(9,13,12)]); # Design 2089: autom. group order 3, simple, residual B[2089]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,8,9,12,13,14],[1,3,5,7,9,12,14],[1,3,6,9,10,11,13],[1,4,5,7,10,11,13],[1,4,6,7,8,12,13],[1,4,6,7,9,11,14],[1,5,6,8,10,13,14],[1,7,8,10,11,12,14],[2,3,6,7,8,11,12],[2,3,6,7,10,13,14],[2,4,5,7,10,12,14],[2,4,5,9,11,13,14],[2,4,6,8,10,11,14],[2,5,6,7,8,9,13],[2,7,9,10,11,12,13],[3,4,5,8,10,12,13],[3,4,6,9,10,12,14],[3,4,7,8,9,13,14],[3,5,6,11,12,13,14],[3,5,7,8,9,10,11],[4,5,6,8,9,11,12]]; G[2089]:=Group([(1,2,7)(3,6,4)(8,13,11)(9,10,14)]); # Design 2090: autom. group order 3, simple, residual B[2090]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,8,9,10,12,13],[1,3,5,7,10,12,14],[1,3,6,9,10,11,13],[1,4,5,7,10,11,13],[1,4,6,7,8,12,13],[1,4,6,7,9,11,14],[1,5,6,8,10,13,14],[1,7,8,9,11,12,14],[2,3,6,7,8,11,12],[2,3,6,7,10,13,14],[2,4,5,7,9,10,12],[2,4,5,9,11,13,14],[2,4,6,8,10,11,14],[2,5,6,7,8,9,13],[2,7,10,11,12,13,14],[3,4,5,8,12,13,14],[3,4,6,9,10,12,14],[3,4,7,8,9,13,14],[3,5,6,9,11,12,13],[3,5,7,8,9,10,11],[4,5,6,8,10,11,12]]; G[2090]:=Group([(1,2,7)(3,6,4)(8,13,11)(9,10,14)]); # Design 2091: autom. group order 3, simple, residual B[2091]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,8,9,10,11,13],[1,3,5,7,9,10,13],[1,3,6,10,12,13,14],[1,4,5,7,8,13,14],[1,4,6,7,8,10,12],[1,4,6,7,9,11,14],[1,5,6,9,11,12,13],[1,7,8,10,11,12,14],[2,3,6,7,8,9,12],[2,3,6,7,10,13,14],[2,4,5,7,10,11,12],[2,4,5,10,12,13,14],[2,4,6,9,10,11,14],[2,5,6,7,8,11,13],[2,7,8,9,12,13,14],[3,4,5,8,9,12,14],[3,4,6,8,11,13,14],[3,4,7,9,11,12,13],[3,5,6,8,10,11,12],[3,5,7,9,10,11,14],[4,5,6,8,9,10,13]]; G[2091]:=Group([(1,2,7)(3,6,4)(9,12,10)(11,13,14)]); # Design 2092: autom. group order 3, simple, residual B[2092]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,8,9,10,11,13],[1,3,5,7,10,12,13],[1,3,6,9,10,13,14],[1,4,5,7,8,13,14],[1,4,6,7,8,9,12],[1,4,6,7,10,11,14],[1,5,6,10,11,12,13],[1,7,8,9,11,12,14],[2,3,6,7,8,10,12],[2,3,6,7,9,13,14],[2,4,5,7,9,10,11],[2,4,5,9,12,13,14],[2,4,6,10,11,12,14],[2,5,6,7,8,11,13],[2,7,8,10,12,13,14],[3,4,5,8,10,12,14],[3,4,6,8,11,13,14],[3,4,7,9,11,12,13],[3,5,6,8,9,11,12],[3,5,7,9,10,11,14],[4,5,6,8,9,10,13]]; G[2092]:=Group([(1,2,7)(3,6,4)(9,10,12)(11,13,14)]); # Design 2093: autom. group order 3, simple, residual B[2093]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,8,10,12,13,14],[1,3,5,7,9,10,14],[1,3,6,9,10,11,12],[1,4,5,7,8,11,12],[1,4,6,7,8,10,13],[1,4,6,7,9,12,14],[1,5,6,10,11,13,14],[1,7,8,9,11,13,14],[2,3,6,7,8,9,13],[2,3,6,7,10,11,14],[2,4,5,7,10,11,13],[2,4,5,9,10,12,14],[2,4,6,9,11,13,14],[2,5,6,7,8,12,14],[2,7,8,9,10,11,12],[3,4,5,8,9,13,14],[3,4,6,8,11,12,14],[3,4,7,10,12,13,14],[3,5,6,8,10,12,13],[3,5,7,9,11,12,13],[4,5,6,8,9,10,11]]; G[2093]:=Group([(1,2,7)(3,6,4)(9,13,10)(11,14,12)]); # Design 2094: autom. group order 3, simple B[2094]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,9,10,11,13,14],[1,3,5,7,10,12,13],[1,3,6,9,10,13,14],[1,4,5,7,8,10,11],[1,4,6,7,9,11,13],[1,4,6,7,10,12,14],[1,5,6,8,12,13,14],[1,7,8,9,11,12,14],[2,3,6,7,8,13,14],[2,3,6,7,9,11,12],[2,4,5,7,9,13,14],[2,4,5,9,10,12,14],[2,4,6,8,10,12,13],[2,5,6,7,10,11,14],[2,7,8,10,11,12,13],[3,4,5,11,12,13,14],[3,4,6,8,10,11,14],[3,4,7,8,9,12,14],[3,5,6,9,10,11,12],[3,5,7,8,9,10,13],[4,5,6,8,9,11,13]]; G[2094]:=Group([(1,2,7)(3,6,4)(8,14,10)(9,13,12)]); # Design 2095: autom. group order 3, simple, residual B[2095]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,7,9,10,12,13],[1,3,5,10,12,13,14],[1,3,6,7,10,11,13],[1,4,5,7,8,13,14],[1,4,6,7,10,12,14],[1,4,6,8,9,10,11],[1,5,6,9,11,13,14],[1,7,8,9,11,12,14],[2,3,6,7,8,12,14],[2,3,7,9,10,11,14],[2,4,5,7,9,11,13],[2,4,5,10,11,12,14],[2,4,6,9,12,13,14],[2,5,6,7,8,10,13],[2,6,8,10,11,13,14],[3,4,5,6,9,10,14],[3,4,6,8,11,12,13],[3,4,7,8,9,13,14],[3,5,6,7,9,11,12],[3,5,8,9,10,12,13],[4,5,7,8,10,11,12]]; G[2095]:=Group([(1,2,14)(3,11,5)(4,10,13)(6,7,9)]); # Design 2096: autom. group order 3, simple B[2096]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,7,10,11,12],[1,3,6,7,9,10,14],[1,4,5,7,11,13,14],[1,4,6,7,8,10,13],[1,4,6,9,11,12,14],[1,5,8,10,12,13,14],[1,6,7,8,9,11,13],[2,3,6,7,12,13,14],[2,3,6,8,10,11,13],[2,4,5,6,10,13,14],[2,4,5,7,8,9,14],[2,4,7,9,10,11,12],[2,5,7,9,10,11,13],[2,6,7,8,11,12,14],[3,4,5,6,9,12,13],[3,4,7,8,10,12,14],[3,4,8,9,11,13,14],[3,5,6,9,10,11,14],[3,5,7,8,9,12,13],[4,5,6,8,10,11,12]]; G[2096]:=Group([(1,2,3)(5,8,11)(6,10,12)(7,9,13)]); # Design 2097: autom. group order 3, simple, residual B[2097]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,7,8,9,13,14],[1,3,5,9,12,13,14],[1,3,6,9,10,11,13],[1,4,5,7,8,10,12],[1,4,6,7,8,11,13],[1,4,6,7,9,12,14],[1,5,7,10,11,13,14],[1,6,8,10,11,12,14],[2,3,6,7,8,12,13],[2,3,6,7,10,11,14],[2,4,5,7,9,11,14],[2,4,5,10,11,12,13],[2,4,6,9,10,13,14],[2,5,6,8,12,13,14],[2,7,8,9,10,11,12],[3,4,5,6,8,10,14],[3,4,7,10,12,13,14],[3,4,8,9,11,12,14],[3,5,6,7,9,11,12],[3,5,7,8,9,10,13],[4,5,6,8,9,11,13]]; G[2097]:=Group([(1,3,7)(2,6,4)(8,11,12)(9,10,14)]); # Design 2098: autom. group order 3, simple, residual B[2098]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,7,10,12,13,14],[1,3,5,9,10,13,14],[1,3,6,10,11,12,14],[1,4,5,7,10,11,13],[1,4,6,7,8,13,14],[1,4,6,7,9,11,12],[1,5,7,8,9,10,12],[1,6,8,9,11,13,14],[2,3,6,7,8,10,11],[2,3,6,7,9,13,14],[2,4,5,7,9,11,14],[2,4,5,8,12,13,14],[2,4,6,9,10,12,14],[2,5,6,10,11,12,13],[2,7,8,9,10,11,13],[3,4,5,6,9,10,13],[3,4,7,8,10,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,12,13],[3,5,7,9,11,12,14],[4,5,6,8,10,11,14]]; G[2098]:=Group([(1,3,7)(2,6,4)(8,13,11)(10,14,12)]); # Design 2099: autom. group order 3, simple, residual B[2099]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,7,8,10,12,13],[1,3,5,7,9,10,12],[1,3,6,10,11,13,14],[1,4,5,7,11,13,14],[1,4,6,7,9,12,14],[1,4,6,8,9,10,11],[1,5,8,10,12,13,14],[1,6,7,8,9,11,13],[2,3,6,7,10,11,12],[2,3,7,8,9,13,14],[2,4,5,6,8,10,14],[2,4,5,9,11,12,13],[2,4,7,9,10,13,14],[2,5,6,9,10,11,13],[2,6,7,8,11,12,14],[3,4,5,6,7,8,13],[3,4,6,10,12,13,14],[3,4,8,9,11,12,14],[3,5,6,8,9,12,13],[3,5,7,9,10,11,14],[4,5,7,8,10,11,12]]; G[2099]:=Group([(1,2,3)(5,8,11)(6,9,13)(7,10,12)]); # Design 2100: autom. group order 3, simple, residual B[2100]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,7,10,12,13,14],[1,3,5,7,9,11,13],[1,3,6,9,10,12,14],[1,4,5,7,9,10,14],[1,4,6,8,10,11,14],[1,4,6,9,11,12,13],[1,5,7,8,12,13,14],[1,6,7,8,10,11,13],[2,3,6,7,9,13,14],[2,3,7,8,10,11,12],[2,4,5,6,7,10,12],[2,4,5,10,11,13,14],[2,4,8,9,12,13,14],[2,5,6,9,10,11,13],[2,6,7,8,9,11,14],[3,4,5,6,8,13,14],[3,4,6,7,11,12,14],[3,4,7,8,9,10,13],[3,5,6,8,10,12,13],[3,5,9,10,11,12,14],[4,5,7,8,9,11,12]]; G[2100]:=Group([(1,2,3)(5,8,11)(6,10,13)(7,9,12)]); # Design 2101: autom. group order 3, simple, residual B[2101]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,7,9,10,12,14],[1,3,5,7,8,10,13],[1,3,6,10,11,12,14],[1,4,5,9,10,13,14],[1,4,6,7,8,13,14],[1,4,7,8,9,11,12],[1,5,6,7,9,11,14],[1,6,8,10,11,12,13],[2,3,6,7,8,9,12],[2,3,6,9,10,13,14],[2,4,5,6,7,10,11],[2,4,5,8,12,13,14],[2,4,6,8,10,11,14],[2,5,7,10,11,12,13],[2,7,8,9,11,13,14],[3,4,5,9,11,12,14],[3,4,6,7,12,13,14],[3,4,7,9,10,11,13],[3,5,6,8,9,11,13],[3,5,7,8,10,12,14],[4,5,6,8,9,10,12]]; G[2101]:=Group([(1,8,13)(3,14,12)(4,11,5)(6,10,7)]); # Design 2102: autom. group order 3, simple, residual B[2102]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,7,8,10,12,14],[1,3,5,7,9,13,14],[1,3,6,9,10,11,12],[1,4,5,10,11,12,14],[1,4,6,7,8,11,13],[1,4,7,9,12,13,14],[1,5,6,8,9,10,14],[1,6,7,8,10,11,13],[2,3,6,7,8,9,12],[2,3,6,10,11,13,14],[2,4,5,6,8,13,14],[2,4,5,7,9,10,11],[2,4,6,7,10,12,14],[2,5,7,9,10,11,13],[2,8,9,11,12,13,14],[3,4,5,8,10,12,13],[3,4,6,9,10,13,14],[3,4,7,8,9,11,14],[3,5,6,7,11,12,14],[3,5,7,8,10,12,13],[4,5,6,8,9,11,12]]; G[2102]:=Group([(1,2,3)(5,8,11)(6,9,12)(7,10,13)]); # Design 2103: autom. group order 3, simple, residual B[2103]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,7,10,12,13,14],[1,3,5,7,10,11,12],[1,3,6,9,10,13,14],[1,4,5,9,10,12,13],[1,4,6,9,11,12,14],[1,4,7,8,11,13,14],[1,5,6,7,8,10,14],[1,6,7,8,9,11,13],[2,3,6,7,9,12,14],[2,3,6,8,10,11,13],[2,4,5,6,10,13,14],[2,4,5,7,9,11,14],[2,4,6,7,8,12,13],[2,5,7,9,10,11,13],[2,8,9,10,11,12,14],[3,4,5,8,9,13,14],[3,4,6,7,9,10,11],[3,4,7,8,10,12,14],[3,5,6,11,12,13,14],[3,5,7,8,9,12,13],[4,5,6,8,10,11,12]]; G[2103]:=Group([(1,2,3)(5,8,11)(6,10,12)(7,9,13)]); # Design 2104: autom. group order 3, simple B[2104]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,7,9,10,12,14],[1,3,5,9,10,11,12],[1,3,6,7,9,13,14],[1,4,5,7,9,12,13],[1,4,6,10,11,12,14],[1,4,7,8,11,13,14],[1,5,6,8,9,10,14],[1,6,7,8,10,11,13],[2,3,6,7,8,9,11],[2,3,6,10,12,13,14],[2,4,5,6,9,13,14],[2,4,5,7,10,11,14],[2,4,6,7,8,10,12],[2,5,7,9,10,11,13],[2,8,9,11,12,13,14],[3,4,5,8,10,13,14],[3,4,6,9,10,11,13],[3,4,7,8,9,12,14],[3,5,6,7,11,12,14],[3,5,7,8,10,12,13],[4,5,6,8,9,11,12]]; G[2104]:=Group([(1,2,3)(5,8,11)(6,9,12)(7,10,13)]); # Design 2105: autom. group order 3, simple, residual B[2105]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,7,8,12,13,14],[1,3,5,9,10,13,14],[1,3,6,7,9,11,12],[1,4,5,10,11,12,14],[1,4,6,8,10,11,13],[1,4,7,9,12,13,14],[1,5,6,7,8,9,14],[1,6,7,8,10,11,13],[2,3,6,7,10,11,14],[2,3,6,8,9,12,13],[2,4,5,6,8,13,14],[2,4,5,7,9,11,13],[2,4,6,7,10,12,14],[2,5,7,9,10,11,13],[2,8,9,10,11,12,14],[3,4,5,7,8,10,12],[3,4,6,9,10,13,14],[3,4,7,8,9,11,14],[3,5,6,11,12,13,14],[3,5,7,8,10,12,13],[4,5,6,8,9,11,12]]; G[2105]:=Group([(1,2,3)(5,8,11)(6,9,12)(7,10,13)]); # Design 2106: autom. group order 3, simple, residual B[2106]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,7,8,10,12,14],[1,3,5,7,9,13,14],[1,3,6,9,10,11,12],[1,4,5,9,10,11,14],[1,4,6,7,10,12,14],[1,4,7,8,9,11,13],[1,5,6,7,8,10,13],[1,6,8,11,12,13,14],[2,3,6,7,8,9,12],[2,3,6,10,11,13,14],[2,4,5,7,10,11,12],[2,4,5,8,12,13,14],[2,4,6,9,10,13,14],[2,5,6,7,9,11,14],[2,7,8,9,10,11,13],[3,4,5,6,8,10,13],[3,4,6,7,8,11,14],[3,4,7,9,12,13,14],[3,5,7,10,11,12,13],[3,5,8,9,10,12,14],[4,5,6,8,9,11,12]]; G[2106]:=Group([(1,2,3)(5,8,11)(6,9,12)(7,10,13)]); # Design 2107: autom. group order 3, simple B[2107]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,14],[1,2,7,8,10,12,13],[1,3,5,7,9,10,12],[1,3,6,10,11,13,14],[1,4,5,9,10,11,13],[1,4,6,8,11,12,14],[1,4,7,9,12,13,14],[1,5,6,7,8,10,14],[1,6,7,8,9,11,13],[2,3,6,7,10,11,12],[2,3,7,8,9,13,14],[2,4,5,6,8,12,13],[2,4,5,7,9,11,14],[2,4,6,7,10,13,14],[2,5,6,9,10,11,13],[2,8,9,10,11,12,14],[3,4,5,8,10,13,14],[3,4,6,7,8,9,11],[3,4,6,9,10,12,14],[3,5,6,8,9,12,13],[3,5,7,11,12,13,14],[4,5,7,8,10,11,12]]; G[2107]:=Group([(1,2,3)(5,8,11)(6,9,13)(7,10,12)]); # Design 2108: autom. group order 3, simple B[2108]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,8,9,12,13,14],[1,3,5,7,9,10,14],[1,3,6,7,9,11,13],[1,4,5,10,11,13,14],[1,4,6,8,9,11,12],[1,4,7,10,12,13,14],[1,5,6,7,8,12,14],[1,6,7,8,10,11,13],[2,3,6,7,11,12,14],[2,3,7,8,10,12,13],[2,4,5,6,8,13,14],[2,4,5,7,10,11,12],[2,4,6,7,9,13,14],[2,5,6,9,10,11,13],[2,7,8,9,10,11,14],[3,4,5,7,8,9,13],[3,4,6,8,10,11,14],[3,4,6,9,10,12,14],[3,5,6,8,10,12,13],[3,5,9,11,12,13,14],[4,5,7,8,9,11,12]]; G[2108]:=Group([(1,2,3)(5,8,11)(6,10,13)(7,9,12)]); # Design 2109: autom. group order 3, simple, residual B[2109]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,7,10,12,13,14],[1,3,5,7,9,11,13],[1,3,6,9,10,12,14],[1,4,5,10,11,13,14],[1,4,6,7,11,12,14],[1,4,7,8,9,10,13],[1,5,6,8,10,12,13],[1,6,7,8,9,11,14],[2,3,6,7,9,13,14],[2,3,7,8,10,11,12],[2,4,5,6,8,13,14],[2,4,5,7,9,10,14],[2,4,6,9,11,12,13],[2,5,9,10,11,12,14],[2,6,7,8,10,11,13],[3,4,5,6,7,10,12],[3,4,6,8,10,11,14],[3,4,8,9,12,13,14],[3,5,6,9,10,11,13],[3,5,7,8,12,13,14],[4,5,7,8,9,11,12]]; G[2109]:=Group([(1,2,3)(5,8,11)(6,10,13)(7,9,12)]); # Design 2110: autom. group order 3, simple, residual B[2110]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,9,10,13],[1,3,5,6,7,9,12],[1,3,6,7,10,11,14],[1,4,5,6,10,11,13],[1,4,7,8,9,11,14],[1,4,7,10,12,13,14],[1,5,6,8,12,13,14],[1,7,8,9,11,12,13],[2,3,6,8,12,13,14],[2,3,7,10,11,12,13],[2,4,5,7,8,10,12],[2,4,5,9,11,13,14],[2,4,6,7,9,12,14],[2,5,6,7,9,11,13],[2,6,7,8,10,11,14],[3,4,5,7,8,13,14],[3,4,6,8,9,11,12],[3,4,6,9,10,13,14],[3,5,7,8,9,10,13],[3,5,9,10,11,12,14],[4,5,6,8,10,11,12]]; G[2110]:=Group([(1,2,3)(5,8,11)(6,10,12)(7,9,13)]); # Design 2111: autom. group order 3, simple, residual B[2111]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,8,9,12],[1,3,5,6,10,12,13],[1,3,6,7,10,11,14],[1,4,5,9,11,13,14],[1,4,6,8,10,11,12],[1,4,7,9,10,13,14],[1,5,6,7,8,9,13],[1,7,8,11,12,13,14],[2,3,7,8,12,13,14],[2,3,7,9,10,11,13],[2,4,5,6,8,13,14],[2,4,5,7,9,11,12],[2,4,6,10,12,13,14],[2,5,6,7,10,11,14],[2,6,8,9,10,11,13],[3,4,5,7,8,10,13],[3,4,6,7,9,12,14],[3,4,6,8,9,11,14],[3,5,6,9,11,12,13],[3,5,8,9,10,12,14],[4,5,7,8,10,11,12]]; G[2111]:=Group([(1,2,3)(5,8,11)(6,9,13)(7,10,12)]); # Design 2112: autom. group order 3, simple B[2112]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,8,9,12],[1,3,5,6,10,12,13],[1,3,6,9,10,11,14],[1,4,5,7,11,12,14],[1,4,6,7,10,13,14],[1,4,7,8,9,11,13],[1,5,8,9,10,13,14],[1,6,7,8,10,11,12],[2,3,6,7,8,13,14],[2,3,7,9,10,11,13],[2,4,5,6,10,11,13],[2,4,5,7,8,10,14],[2,4,6,9,10,12,14],[2,5,7,9,10,11,12],[2,6,8,11,12,13,14],[3,4,5,6,8,9,12],[3,4,7,9,12,13,14],[3,4,8,10,11,12,14],[3,5,6,7,9,11,14],[3,5,7,8,10,12,13],[4,5,6,8,9,11,13]]; G[2112]:=Group([(1,2,3)(5,8,11)(6,9,13)(7,10,12)]); # Design 2113: autom. group order 3, simple, residual B[2113]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,8,9,12,13],[1,2,6,9,10,11,14],[1,3,5,6,7,12,14],[1,3,7,9,11,12,13],[1,4,5,7,10,13,14],[1,4,6,7,8,10,12],[1,4,6,8,9,13,14],[1,5,6,8,10,11,13],[1,7,9,10,11,12,14],[2,3,6,7,9,10,13],[2,3,6,10,12,13,14],[2,4,5,6,7,9,11],[2,4,5,10,12,13,14],[2,4,7,8,9,12,14],[2,5,7,8,10,11,12],[2,6,7,8,11,13,14],[3,4,5,9,10,11,14],[3,4,6,8,11,12,14],[3,4,7,8,10,11,13],[3,5,6,8,9,10,12],[3,5,7,8,9,13,14],[4,5,6,9,11,12,13]]; G[2113]:=Group([(1,6,13)(2,12,7)(4,14,9)(5,10,11)]); # Design 2114: autom. group order 3, simple B[2114]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,8,9,12,14],[1,2,6,7,10,13,14],[1,3,5,6,9,13,14],[1,3,7,10,11,12,14],[1,4,5,7,10,11,13],[1,4,6,7,8,9,11],[1,4,9,10,12,13,14],[1,5,6,8,10,12,13],[1,6,7,8,9,11,12],[2,3,6,7,9,10,12],[2,3,6,8,10,11,13],[2,4,5,6,7,12,14],[2,4,5,9,10,11,12],[2,4,6,9,11,13,14],[2,5,7,8,9,10,13],[2,7,8,11,12,13,14],[3,4,5,7,8,12,13],[3,4,6,8,10,12,14],[3,4,7,8,9,13,14],[3,5,6,9,11,12,13],[3,5,7,9,10,11,14],[4,5,6,8,10,11,14]]; G[2114]:=Group([(1,9,11)(2,13,10)(3,14,5)(6,7,8)]); # Design 2115: autom. group order 3, simple, residual B[2115]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,8,10,12],[1,3,5,6,10,12,13],[1,3,7,9,10,11,14],[1,4,5,7,10,11,13],[1,4,6,9,12,13,14],[1,4,7,8,11,12,14],[1,5,6,8,9,10,14],[1,6,7,8,9,11,13],[2,3,6,7,8,13,14],[2,3,6,9,10,11,12],[2,4,5,6,9,11,14],[2,4,5,7,8,9,12],[2,4,6,7,10,13,14],[2,5,7,9,10,11,13],[2,8,10,11,12,13,14],[3,4,5,8,10,13,14],[3,4,6,8,9,11,13],[3,4,7,9,10,12,14],[3,5,6,7,11,12,14],[3,5,7,8,9,12,13],[4,5,6,8,10,11,12]]; G[2115]:=Group([(1,2,3)(5,8,11)(6,10,12)(7,9,13)]); # Design 2116: autom. group order 3, simple B[2116]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,8,10,12],[1,3,5,6,10,12,13],[1,3,7,9,10,11,14],[1,4,5,7,10,11,14],[1,4,6,9,10,13,14],[1,4,7,8,11,12,13],[1,5,6,7,8,9,13],[1,6,8,9,11,12,14],[2,3,6,7,8,13,14],[2,3,6,9,10,11,12],[2,4,5,6,7,9,11],[2,4,5,8,9,12,14],[2,4,7,10,12,13,14],[2,5,6,10,11,13,14],[2,7,8,9,10,11,13],[3,4,5,8,9,10,13],[3,4,6,7,9,12,14],[3,4,6,8,11,13,14],[3,5,7,8,10,12,14],[3,5,7,9,11,12,13],[4,5,6,8,10,11,12]]; G[2116]:=Group([(1,2,3)(5,8,11)(6,10,12)(7,9,13)]); # Design 2117: autom. group order 3, simple, residual B[2117]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,8,12,13],[1,3,5,9,10,12,13],[1,3,6,7,9,11,14],[1,4,5,6,11,13,14],[1,4,6,8,9,11,12],[1,4,7,9,10,13,14],[1,5,6,7,8,10,13],[1,7,8,10,11,12,14],[2,3,6,7,9,10,11],[2,3,7,8,12,13,14],[2,4,5,6,8,10,14],[2,4,5,7,10,11,12],[2,4,6,9,12,13,14],[2,5,7,9,11,13,14],[2,6,8,9,10,11,13],[3,4,5,7,8,9,13],[3,4,6,7,10,12,14],[3,4,8,10,11,13,14],[3,5,6,8,9,12,14],[3,5,6,10,11,12,13],[4,5,7,8,9,11,12]]; G[2117]:=Group([(1,2,3)(5,8,11)(6,10,13)(7,9,12)]); # Design 2118: autom. group order 3, simple, residual B[2118]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,8,12,13],[1,3,5,9,10,12,13],[1,3,6,7,9,11,14],[1,4,5,6,11,13,14],[1,4,6,7,10,12,14],[1,4,7,8,10,11,12],[1,5,7,8,9,13,14],[1,6,8,9,10,11,13],[2,3,6,7,9,10,11],[2,3,7,8,12,13,14],[2,4,5,6,8,10,14],[2,4,5,7,9,11,13],[2,4,7,9,10,13,14],[2,5,6,10,11,12,13],[2,6,8,9,11,12,14],[3,4,5,6,8,9,12],[3,4,6,9,12,13,14],[3,4,8,10,11,13,14],[3,5,6,7,8,10,13],[3,5,7,10,11,12,14],[4,5,7,8,9,11,12]]; G[2118]:=Group([(1,2,3)(5,8,11)(6,10,13)(7,9,12)]); # Design 2119: autom. group order 3, simple, residual B[2119]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,9,12,13],[1,3,5,7,9,10,13],[1,3,6,7,9,11,14],[1,4,5,6,11,13,14],[1,4,6,7,10,12,14],[1,4,7,8,10,11,12],[1,5,7,8,12,13,14],[1,6,8,9,10,11,13],[2,3,6,7,10,11,12],[2,3,7,8,12,13,14],[2,4,5,6,8,10,14],[2,4,5,7,9,11,13],[2,4,7,9,10,13,14],[2,5,6,10,11,12,13],[2,6,7,8,9,11,14],[3,4,5,6,8,9,12],[3,4,6,9,12,13,14],[3,4,8,10,11,13,14],[3,5,6,7,8,10,13],[3,5,9,10,11,12,14],[4,5,7,8,9,11,12]]; G[2119]:=Group([(1,2,3)(5,8,11)(6,10,13)(7,9,12)]); # Design 2120: autom. group order 3, simple, residual B[2120]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,13,14],[1,3,5,9,10,11,14],[1,3,7,8,10,12,13],[1,4,6,7,9,12,13],[1,4,7,8,9,11,14],[1,4,7,10,11,13,14],[1,5,6,8,10,11,12],[1,5,6,9,12,13,14],[2,3,6,9,10,11,13],[2,3,7,8,9,12,14],[2,4,5,7,10,11,12],[2,4,5,8,12,13,14],[2,4,5,9,10,13,14],[2,6,7,8,9,11,13],[2,6,7,10,11,12,14],[3,4,5,6,8,11,13],[3,4,6,8,10,12,14],[3,4,6,9,11,12,14],[3,5,7,8,11,13,14],[3,5,7,9,10,12,13],[4,5,6,7,8,9,10]]; G[2120]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,13,12)]); # Design 2121: autom. group order 3, simple, residual B[2121]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,10,12,14],[1,3,7,8,10,12,13],[1,4,6,7,9,12,13],[1,4,7,8,10,11,14],[1,4,7,9,11,13,14],[1,5,6,8,12,13,14],[1,5,6,9,10,11,13],[2,3,6,9,10,11,13],[2,3,7,8,9,13,14],[2,4,5,7,10,11,12],[2,4,5,8,9,13,14],[2,4,5,10,12,13,14],[2,6,7,8,10,12,13],[2,6,7,9,11,12,14],[3,4,5,6,8,11,13],[3,4,6,8,11,12,14],[3,4,6,9,10,12,14],[3,5,7,8,9,11,12],[3,5,7,10,11,13,14],[4,5,6,7,8,9,10]]; G[2121]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,13,12)]); # Design 2122: autom. group order 3, simple, residual B[2122]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,11,12],[1,3,5,9,10,12,13],[1,3,7,8,10,12,14],[1,4,6,7,9,11,13],[1,4,7,8,12,13,14],[1,4,7,9,10,11,14],[1,5,6,8,10,11,13],[1,5,6,9,12,13,14],[2,3,6,9,10,13,14],[2,3,7,8,9,11,13],[2,4,5,7,10,12,13],[2,4,5,8,10,13,14],[2,4,5,9,11,12,14],[2,6,7,8,9,12,13],[2,6,7,10,11,12,14],[3,4,5,6,8,11,12],[3,4,6,8,9,12,14],[3,4,6,10,11,13,14],[3,5,7,8,11,13,14],[3,5,7,9,10,11,12],[4,5,6,7,8,9,10]]; G[2122]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,13,12)]); # Design 2123: autom. group order 3, simple, residual B[2123]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,10,12,14],[1,3,7,8,10,12,13],[1,4,6,7,9,12,13],[1,4,7,8,11,13,14],[1,4,7,9,10,11,14],[1,5,6,8,10,12,13],[1,5,6,9,11,13,14],[2,3,6,9,10,11,13],[2,3,7,8,9,13,14],[2,4,5,7,10,11,12],[2,4,5,8,10,13,14],[2,4,5,9,12,13,14],[2,6,7,8,9,11,12],[2,6,7,10,12,13,14],[3,4,5,6,8,11,13],[3,4,6,8,9,12,14],[3,4,6,10,11,12,14],[3,5,7,8,11,12,14],[3,5,7,9,10,11,13],[4,5,6,7,8,9,10]]; G[2123]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,13,12)]); # Design 2124: autom. group order 3, simple, residual B[2124]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,13,14],[1,3,5,9,10,11,14],[1,3,7,8,10,12,13],[1,4,6,7,9,12,13],[1,4,7,8,11,13,14],[1,4,7,9,10,11,14],[1,5,6,8,11,12,14],[1,5,6,9,10,12,13],[2,3,6,9,10,11,13],[2,3,7,8,9,12,14],[2,4,5,7,10,11,12],[2,4,5,8,10,13,14],[2,4,5,9,12,13,14],[2,6,7,8,10,11,12],[2,6,7,9,11,13,14],[3,4,5,6,8,11,13],[3,4,6,8,9,12,14],[3,4,6,10,11,12,14],[3,5,7,8,9,11,13],[3,5,7,10,12,13,14],[4,5,6,7,8,9,10]]; G[2124]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,13,12)]); # Design 2125: autom. group order 3, simple, residual B[2125]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,9,13,14],[1,3,7,9,10,11,13],[1,4,6,7,8,11,13],[1,4,7,8,9,12,14],[1,4,7,10,12,13,14],[1,5,6,9,10,11,12],[1,5,6,10,12,13,14],[2,3,6,8,10,12,13],[2,3,7,9,10,12,14],[2,4,5,7,10,11,12],[2,4,5,8,10,13,14],[2,4,5,9,11,13,14],[2,6,7,8,9,12,13],[2,6,7,9,11,13,14],[3,4,5,6,9,12,13],[3,4,6,8,11,12,14],[3,4,6,9,10,11,14],[3,5,7,8,10,11,13],[3,5,7,8,11,12,14],[4,5,6,7,8,9,10]]; G[2125]:=Group([(1,2,3)(5,6,7)(8,10,9)(11,12,13)]); # Design 2126: autom. group order 3, simple, residual B[2126]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,11,12],[1,3,5,8,9,12,13],[1,3,7,9,10,12,14],[1,4,6,7,8,11,13],[1,4,7,8,9,13,14],[1,4,7,10,11,12,14],[1,5,6,9,10,12,13],[1,5,6,10,11,13,14],[2,3,6,8,10,13,14],[2,3,7,9,10,11,13],[2,4,5,7,10,12,13],[2,4,5,8,10,12,14],[2,4,5,9,11,13,14],[2,6,7,8,9,11,12],[2,6,7,9,12,13,14],[3,4,5,6,9,11,12],[3,4,6,8,12,13,14],[3,4,6,9,10,11,14],[3,5,7,8,10,11,13],[3,5,7,8,11,12,14],[4,5,6,7,8,9,10]]; G[2126]:=Group([(1,2,3)(5,6,7)(8,10,9)(11,13,12)]); # Design 2127: autom. group order 3, simple, residual B[2127]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,11,12],[1,3,5,8,9,12,13],[1,3,7,9,10,12,14],[1,4,6,7,8,11,13],[1,4,7,8,12,13,14],[1,4,7,9,10,11,14],[1,5,6,9,10,12,13],[1,5,6,10,11,13,14],[2,3,6,8,10,13,14],[2,3,7,9,10,11,13],[2,4,5,7,10,12,13],[2,4,5,8,9,13,14],[2,4,5,10,11,12,14],[2,6,7,8,9,11,12],[2,6,7,9,12,13,14],[3,4,5,6,9,11,12],[3,4,6,8,10,12,14],[3,4,6,9,11,13,14],[3,5,7,8,10,11,13],[3,5,7,8,11,12,14],[4,5,6,7,8,9,10]]; G[2127]:=Group([(1,2,3)(5,6,7)(8,10,9)(11,13,12)]); # Design 2128: autom. group order 3, simple, residual B[2128]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,9,12,14],[1,3,7,9,10,12,13],[1,4,6,7,8,12,13],[1,4,7,8,11,13,14],[1,4,7,9,10,11,14],[1,5,6,9,10,11,13],[1,5,6,10,12,13,14],[2,3,6,8,10,11,13],[2,3,7,9,10,13,14],[2,4,5,7,10,11,12],[2,4,5,8,9,13,14],[2,4,5,10,12,13,14],[2,6,7,8,9,12,13],[2,6,7,9,11,12,14],[3,4,5,6,9,11,13],[3,4,6,8,10,12,14],[3,4,6,9,11,12,14],[3,5,7,8,10,11,12],[3,5,7,8,11,13,14],[4,5,6,7,8,9,10]]; G[2128]:=Group([(1,2,3)(5,6,7)(8,10,9)(11,13,12)]); # Design 2129: autom. group order 3, simple, residual B[2129]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,13,14],[1,3,5,8,9,11,14],[1,3,7,9,10,12,13],[1,4,6,7,8,12,13],[1,4,7,8,10,11,14],[1,4,7,9,11,13,14],[1,5,6,9,10,12,13],[1,5,6,10,11,12,14],[2,3,6,8,10,11,13],[2,3,7,9,10,12,14],[2,4,5,7,10,11,12],[2,4,5,8,12,13,14],[2,4,5,9,10,13,14],[2,6,7,8,9,11,12],[2,6,7,9,11,13,14],[3,4,5,6,9,11,13],[3,4,6,8,9,12,14],[3,4,6,10,11,12,14],[3,5,7,8,10,11,13],[3,5,7,8,12,13,14],[4,5,6,7,8,9,10]]; G[2129]:=Group([(1,2,3)(5,6,7)(8,10,9)(11,13,12)]); # Design 2130: autom. group order 3, simple, residual B[2130]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,9,11,14],[1,3,5,8,10,12,14],[1,3,7,8,10,12,13],[1,4,6,7,9,12,13],[1,4,7,8,11,13,14],[1,4,7,9,10,11,14],[1,5,6,9,10,12,13],[1,5,6,10,11,13,14],[2,3,6,9,10,11,13],[2,3,7,9,10,13,14],[2,4,5,7,10,11,12],[2,4,5,8,10,13,14],[2,4,5,9,12,13,14],[2,6,7,8,10,11,12],[2,6,7,8,12,13,14],[3,4,5,6,8,11,13],[3,4,6,8,9,12,14],[3,4,6,10,11,12,14],[3,5,7,8,9,11,13],[3,5,7,9,11,12,14],[4,5,6,7,8,9,10]]; G[2130]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,13,12)]); # Design 2131: autom. group order 3, simple, residual B[2131]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,13,14],[1,3,5,9,10,11,14],[1,3,7,8,10,12,13],[1,4,6,7,9,11,13],[1,4,6,8,9,12,14],[1,4,7,8,11,13,14],[1,5,6,9,10,12,13],[1,5,7,10,11,12,14],[2,3,6,9,10,11,13],[2,3,7,8,9,12,14],[2,4,5,7,10,12,13],[2,4,5,9,12,13,14],[2,4,7,9,10,11,14],[2,5,6,8,11,13,14],[2,6,7,8,10,11,12],[3,4,5,6,8,11,12],[3,4,5,8,10,13,14],[3,4,6,10,11,12,14],[3,5,7,8,9,11,13],[3,6,7,9,12,13,14],[4,5,6,7,8,9,10]]; G[2131]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,13,12)]); # Design 2132: autom. group order 3, simple, residual B[2132]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,9,11,12],[1,3,7,9,10,13,14],[1,4,6,7,10,11,12],[1,4,6,9,10,11,14],[1,4,7,8,11,13,14],[1,5,6,9,12,13,14],[1,5,7,8,10,12,13],[2,3,6,8,10,12,14],[2,3,7,9,10,11,13],[2,4,5,7,9,12,13],[2,4,5,10,11,12,14],[2,4,7,8,9,12,14],[2,5,6,9,10,11,13],[2,6,7,8,11,13,14],[3,4,5,6,8,11,13],[3,4,5,8,10,13,14],[3,4,6,9,12,13,14],[3,5,7,10,11,12,14],[3,6,7,8,9,11,12],[4,5,6,7,8,9,10]]; G[2132]:=Group([(1,2,3)(5,6,7)(8,10,9)(11,12,13)]); # Design 2133: autom. group order 3, simple, residual B[2133]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,13,14],[1,3,5,8,9,11,14],[1,3,7,9,10,12,13],[1,4,6,7,10,11,12],[1,4,6,9,10,11,14],[1,4,7,8,12,13,14],[1,5,6,9,12,13,14],[1,5,7,8,10,11,13],[2,3,6,8,10,11,13],[2,3,7,9,10,12,14],[2,4,5,7,9,11,13],[2,4,5,10,11,12,14],[2,4,7,8,9,13,14],[2,5,6,9,10,12,13],[2,6,7,8,11,12,14],[3,4,5,6,8,12,13],[3,4,5,8,10,12,14],[3,4,6,9,11,13,14],[3,5,7,10,11,13,14],[3,6,7,8,9,11,12],[4,5,6,7,8,9,10]]; G[2133]:=Group([(1,2,3)(5,6,7)(8,10,9)(11,13,12)]); # Design 2134: autom. group order 3, simple, residual B[2134]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,9,13,14],[1,3,7,9,10,11,13],[1,4,6,7,8,11,12],[1,4,6,9,10,12,14],[1,4,7,10,11,13,14],[1,5,6,9,10,12,13],[1,5,7,8,12,13,14],[2,3,6,8,10,12,13],[2,3,7,9,10,12,14],[2,4,5,7,10,12,13],[2,4,5,9,11,12,14],[2,4,7,8,9,13,14],[2,5,6,10,11,13,14],[2,6,7,8,9,11,13],[3,4,5,6,9,11,13],[3,4,5,8,10,11,14],[3,4,6,8,12,13,14],[3,5,7,8,10,11,12],[3,6,7,9,11,12,14],[4,5,6,7,8,9,10]]; G[2134]:=Group([(1,2,3)(5,6,7)(8,10,9)(11,12,13)]); # Design 2135: autom. group order 3, simple, residual B[2135]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,9,11,12],[1,3,7,9,10,13,14],[1,4,6,7,8,11,13],[1,4,6,9,10,12,14],[1,4,7,10,11,12,14],[1,5,6,9,10,11,13],[1,5,7,8,12,13,14],[2,3,6,8,10,12,14],[2,3,7,9,10,11,13],[2,4,5,7,10,11,12],[2,4,5,9,12,13,14],[2,4,7,8,9,13,14],[2,5,6,10,11,13,14],[2,6,7,8,9,11,12],[3,4,5,6,9,12,13],[3,4,5,8,10,11,14],[3,4,6,8,11,13,14],[3,5,7,8,10,12,13],[3,6,7,9,11,12,14],[4,5,6,7,8,9,10]]; G[2135]:=Group([(1,2,3)(5,6,7)(8,10,9)(11,12,13)]); # Design 2136: autom. group order 3, simple, residual B[2136]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,11,12],[1,3,5,8,9,12,13],[1,3,7,9,10,12,14],[1,4,6,7,8,11,13],[1,4,6,9,12,13,14],[1,4,7,9,10,11,14],[1,5,6,10,11,13,14],[1,5,7,8,10,12,13],[2,3,6,8,10,13,14],[2,3,7,9,10,11,13],[2,4,5,7,10,12,13],[2,4,5,8,9,13,14],[2,4,7,8,11,12,14],[2,5,6,9,10,11,12],[2,6,7,9,12,13,14],[3,4,5,6,9,11,12],[3,4,5,10,11,13,14],[3,4,6,8,10,12,14],[3,5,7,8,11,12,14],[3,6,7,8,9,11,13],[4,5,6,7,8,9,10]]; G[2136]:=Group([(1,2,3)(5,6,7)(8,10,9)(11,13,12)]); # Design 2137: autom. group order 3, simple, residual B[2137]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,9,12,14],[1,3,7,9,10,12,13],[1,4,6,7,8,12,13],[1,4,6,9,11,13,14],[1,4,7,9,10,11,14],[1,5,6,10,12,13,14],[1,5,7,8,10,11,13],[2,3,6,8,10,11,13],[2,3,7,9,10,13,14],[2,4,5,7,10,11,12],[2,4,5,8,9,13,14],[2,4,7,8,12,13,14],[2,5,6,9,10,12,13],[2,6,7,9,11,12,14],[3,4,5,6,9,11,13],[3,4,5,10,11,12,14],[3,4,6,8,10,12,14],[3,5,7,8,11,13,14],[3,6,7,8,9,11,12],[4,5,6,7,8,9,10]]; G[2137]:=Group([(1,2,3)(5,6,7)(8,10,9)(11,13,12)]); # Design 2138: autom. group order 3, simple, residual B[2138]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,6,7,14],[1,2,5,8,11,12,14],[1,2,6,8,9,11,13],[1,3,5,8,10,12,13],[1,3,7,10,11,13,14],[1,4,6,7,8,9,13],[1,4,6,9,10,12,14],[1,4,7,8,11,12,14],[1,5,6,9,10,11,14],[1,5,7,9,10,12,13],[2,3,6,9,12,13,14],[2,3,7,9,10,11,12],[2,4,5,7,9,10,11],[2,4,5,9,12,13,14],[2,4,7,8,10,13,14],[2,5,6,8,10,11,13],[2,6,7,8,10,12,14],[3,4,5,6,8,10,12],[3,4,5,8,9,11,14],[3,4,6,10,11,13,14],[3,5,7,8,9,13,14],[3,6,7,8,9,11,12],[4,5,6,7,11,12,13]]; G[2138]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,12,13)]); # Design 2139: autom. group order 3, simple, residual B[2139]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,11,12],[1,3,5,8,9,12,13],[1,3,7,9,10,12,14],[1,4,6,7,8,11,13],[1,4,6,9,10,12,14],[1,4,7,8,12,13,14],[1,5,6,10,11,13,14],[1,5,7,9,10,11,13],[2,3,6,8,10,13,14],[2,3,7,9,10,11,13],[2,4,5,7,10,12,13],[2,4,5,10,11,12,14],[2,4,7,8,9,11,14],[2,5,6,8,9,12,13],[2,6,7,9,12,13,14],[3,4,5,6,9,11,12],[3,4,5,8,10,13,14],[3,4,6,9,11,13,14],[3,5,7,8,11,12,14],[3,6,7,8,10,11,12],[4,5,6,7,8,9,10]]; G[2139]:=Group([(1,2,3)(5,6,7)(8,10,9)(11,13,12)]); # Design 2140: autom. group order 3, simple, residual B[2140]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,9,13,14],[1,3,7,9,10,11,13],[1,4,6,7,8,11,13],[1,4,6,10,12,13,14],[1,4,7,8,9,12,14],[1,5,6,9,10,11,12],[1,5,7,10,12,13,14],[2,3,6,8,10,12,13],[2,3,7,9,10,12,14],[2,4,5,7,10,11,12],[2,4,5,8,10,13,14],[2,4,7,9,11,13,14],[2,5,6,9,11,13,14],[2,6,7,8,9,12,13],[3,4,5,6,9,12,13],[3,4,5,8,11,12,14],[3,4,6,9,10,11,14],[3,5,7,8,10,11,13],[3,6,7,8,11,12,14],[4,5,6,7,8,9,10]]; G[2140]:=Group([(1,2,3)(5,6,7)(8,10,9)(11,12,13)]); # Design 2141: autom. group order 3, simple, residual B[2141]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,9,11,12],[1,3,5,8,10,11,13],[1,3,7,8,10,13,14],[1,4,6,7,10,11,12],[1,4,6,8,12,13,14],[1,4,7,9,10,11,14],[1,5,6,9,10,12,13],[1,5,7,9,12,13,14],[2,3,6,9,10,12,14],[2,3,7,9,10,12,13],[2,4,5,7,8,12,13],[2,4,5,8,10,12,14],[2,4,7,9,11,13,14],[2,5,6,10,11,13,14],[2,6,7,8,10,11,13],[3,4,5,6,9,11,13],[3,4,5,10,11,12,14],[3,4,6,8,9,13,14],[3,5,7,8,9,11,12],[3,6,7,8,11,12,14],[4,5,6,7,8,9,10]]; G[2141]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,12,13)]); # Design 2142: autom. group order 3, simple, residual B[2142]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,9,11,14],[1,3,5,8,10,13,14],[1,3,7,8,10,11,13],[1,4,6,7,8,12,13],[1,4,6,10,11,12,14],[1,4,7,9,10,11,14],[1,5,6,9,12,13,14],[1,5,7,9,10,12,13],[2,3,6,9,10,12,13],[2,3,7,9,10,12,14],[2,4,5,7,9,11,13],[2,4,5,8,10,12,14],[2,4,7,8,12,13,14],[2,5,6,8,10,11,13],[2,6,7,10,11,13,14],[3,4,5,6,10,11,12],[3,4,5,9,11,13,14],[3,4,6,8,9,13,14],[3,5,7,8,11,12,14],[3,6,7,8,9,11,12],[4,5,6,7,8,9,10]]; G[2142]:=Group([(1,2,3)(5,6,7)(8,9,10)(11,12,13)]); # Design 2143: autom. group order 3, simple, residual B[2143]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,8,9],[1,2,6,9,10,12,14],[1,3,5,6,11,12,13],[1,3,6,7,10,13,14],[1,4,6,8,10,12,13],[1,4,7,8,10,11,14],[1,4,7,9,11,13,14],[1,5,7,9,10,11,12],[1,5,8,9,12,13,14],[2,3,7,9,12,13,14],[2,3,8,9,10,11,13],[2,4,5,6,10,13,14],[2,4,5,10,11,12,14],[2,4,6,7,9,11,12],[2,5,7,8,10,12,13],[2,6,7,8,11,13,14],[3,4,5,7,8,12,14],[3,4,5,7,9,10,13],[3,4,6,8,9,12,14],[3,5,6,9,10,11,14],[3,6,7,8,10,11,12],[4,5,6,8,9,11,13]]; G[2143]:=Group([(1,2,3)(5,8,11)(6,9,13)(7,10,12)]); # Design 2144: autom. group order 3, simple, residual B[2144]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,6,10,12,13],[1,3,7,9,11,13,14],[1,4,6,7,12,13,14],[1,4,6,8,9,11,14],[1,4,7,8,10,11,12],[1,5,7,9,10,11,12],[1,5,8,9,10,13,14],[2,3,6,9,10,11,13],[2,3,7,8,10,12,14],[2,4,5,7,9,11,13],[2,4,5,10,11,12,14],[2,4,6,7,9,10,14],[2,5,7,8,9,12,13],[2,6,8,11,12,13,14],[3,4,5,6,8,9,12],[3,4,5,7,8,13,14],[3,4,9,10,12,13,14],[3,5,6,7,10,11,14],[3,6,7,8,9,11,12],[4,5,6,8,10,11,13]]; G[2144]:=Group([(1,2,3)(5,8,11)(6,10,13)(7,9,12)]); # Design 2145: autom. group order 3, simple, residual B[2145]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,6,7,10,13],[1,3,7,9,11,13,14],[1,4,6,7,12,13,14],[1,4,6,8,9,11,12],[1,4,7,8,10,11,14],[1,5,7,9,10,11,12],[1,5,8,10,12,13,14],[2,3,6,10,11,12,13],[2,3,7,8,10,12,14],[2,4,5,7,10,11,12],[2,4,5,9,11,13,14],[2,4,6,7,9,10,14],[2,5,7,8,9,12,13],[2,6,7,8,11,13,14],[3,4,5,6,8,12,14],[3,4,5,7,8,9,13],[3,4,9,10,12,13,14],[3,5,6,9,10,11,14],[3,6,7,8,9,11,12],[4,5,6,8,10,11,13]]; G[2145]:=Group([(1,2,3)(5,8,11)(6,10,13)(7,9,12)]); # Design 2146: autom. group order 3, simple, residual B[2146]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,6,10,12,13],[1,3,7,9,11,13,14],[1,4,6,8,9,11,14],[1,4,7,8,10,11,12],[1,4,9,10,12,13,14],[1,5,6,7,10,11,14],[1,5,7,8,9,12,13],[2,3,6,9,10,11,13],[2,3,7,8,10,12,14],[2,4,5,7,9,11,13],[2,4,5,10,11,12,14],[2,4,6,7,12,13,14],[2,5,8,9,10,13,14],[2,6,7,8,9,11,12],[3,4,5,6,8,9,12],[3,4,5,7,8,13,14],[3,4,6,7,9,10,14],[3,5,7,9,10,11,12],[3,6,8,11,12,13,14],[4,5,6,8,10,11,13]]; G[2146]:=Group([(1,2,3)(5,8,11)(6,10,13)(7,9,12)]); # Design 2147: autom. group order 3, simple B[2147]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,10,12,13,14],[1,3,5,6,10,11,13],[1,3,7,9,10,13,14],[1,4,6,7,9,11,14],[1,4,7,8,9,12,13],[1,4,8,10,11,12,14],[1,5,6,7,8,13,14],[1,5,7,9,10,11,12],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,7,11,12,14],[2,4,5,9,10,13,14],[2,4,6,7,10,11,13],[2,5,7,8,10,12,13],[2,6,8,9,10,11,14],[3,4,5,6,9,10,12],[3,4,5,7,8,10,14],[3,4,6,8,12,13,14],[3,5,9,11,12,13,14],[3,6,7,8,10,11,12],[4,5,6,8,9,11,13]]; G[2147]:=Group([(1,2,3)(5,8,11)(6,9,13)(7,10,12)]); # Design 2148: autom. group order 3, simple, residual B[2148]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,10,12,13,14],[1,3,5,6,10,11,13],[1,3,7,9,10,13,14],[1,4,6,7,9,11,12],[1,4,7,8,10,11,14],[1,4,8,9,12,13,14],[1,5,6,7,8,13,14],[1,5,7,9,10,11,12],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,7,9,10,13],[2,4,5,10,11,12,14],[2,4,6,7,11,13,14],[2,5,7,8,10,12,13],[2,6,8,9,10,11,14],[3,4,5,6,9,10,14],[3,4,5,7,8,12,14],[3,4,6,8,10,12,13],[3,5,9,11,12,13,14],[3,6,7,8,10,11,12],[4,5,6,8,9,11,13]]; G[2148]:=Group([(1,2,3)(5,8,11)(6,9,13)(7,10,12)]); # Design 2149: autom. group order 3, simple, residual B[2149]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,6,9,10,11,13],[1,4,6,7,9,10,14],[1,4,6,8,10,11,12],[1,4,7,8,11,13,14],[1,5,7,8,9,10,12],[1,5,7,9,11,13,14],[2,3,6,7,8,9,13],[2,3,7,9,10,11,14],[2,4,5,6,10,11,14],[2,4,5,7,9,11,12],[2,4,9,10,12,13,14],[2,5,6,8,10,13,14],[2,7,8,10,11,12,13],[3,4,5,7,8,10,13],[3,4,5,8,9,12,14],[3,4,6,7,12,13,14],[3,5,6,7,10,11,12],[3,6,8,9,11,12,14],[4,5,6,8,9,11,13]]; G[2149]:=Group([(1,2,3)(5,8,11)(6,9,13)(7,10,12)]); # Design 2150: autom. group order 3, simple, residual B[2150]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,9,10,14],[1,3,5,7,10,11,12],[1,3,6,7,12,13,14],[1,4,6,7,8,10,13],[1,4,6,9,11,12,14],[1,4,8,9,11,13,14],[1,5,7,9,10,11,13],[1,5,8,10,12,13,14],[2,3,6,8,10,11,13],[2,3,9,10,12,13,14],[2,4,5,6,10,13,14],[2,4,5,7,11,13,14],[2,4,7,9,10,11,12],[2,5,7,8,9,12,13],[2,6,7,8,11,12,14],[3,4,5,6,9,12,13],[3,4,5,7,8,9,14],[3,4,7,8,10,12,14],[3,5,6,9,10,11,14],[3,6,7,8,9,11,13],[4,5,6,8,10,11,12]]; G[2150]:=Group([(1,2,3)(5,8,11)(6,10,12)(7,9,13)]); # Design 2151: autom. group order 3, simple, residual B[2151]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,7,9,10,14],[1,3,5,7,10,11,12],[1,3,6,7,12,13,14],[1,4,6,8,10,13,14],[1,4,6,9,11,12,13],[1,4,7,8,9,11,14],[1,5,7,9,10,11,13],[1,5,8,10,12,13,14],[2,3,6,8,10,11,13],[2,3,9,10,12,13,14],[2,4,5,6,7,10,13],[2,4,5,9,11,13,14],[2,4,7,10,11,12,14],[2,5,7,8,9,12,13],[2,6,7,8,11,12,14],[3,4,5,6,9,12,14],[3,4,5,7,8,13,14],[3,4,7,8,9,10,12],[3,5,6,9,10,11,14],[3,6,7,8,9,11,13],[4,5,6,8,10,11,12]]; G[2151]:=Group([(1,2,3)(5,8,11)(6,10,12)(7,9,13)]); # Design 2152: autom. group order 3, simple, residual B[2152]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,12,13],[1,2,6,7,9,10,14],[1,3,5,9,10,11,12],[1,3,6,7,12,13,14],[1,4,6,7,9,11,12],[1,4,6,8,10,13,14],[1,4,8,9,11,13,14],[1,5,7,8,10,12,14],[1,5,7,9,10,11,13],[2,3,6,7,8,10,11],[2,3,9,10,12,13,14],[2,4,5,6,9,10,13],[2,4,5,7,11,13,14],[2,4,7,10,11,12,14],[2,5,7,8,9,12,13],[2,6,8,9,11,12,14],[3,4,5,6,9,12,14],[3,4,5,7,8,9,14],[3,4,7,8,10,12,13],[3,5,6,10,11,13,14],[3,6,7,8,9,11,13],[4,5,6,8,10,11,12]]; G[2152]:=Group([(1,2,3)(5,8,11)(6,10,12)(7,9,13)]); # Design 2153: autom. group order 3, simple, residual B[2153]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,9,10,11,13],[1,3,6,10,12,13,14],[1,4,6,7,10,11,13],[1,4,6,8,9,10,14],[1,4,7,8,11,12,14],[1,5,7,8,9,13,14],[1,5,7,9,10,11,12],[2,3,6,7,8,9,11],[2,3,7,9,10,13,14],[2,4,5,6,9,10,12],[2,4,5,7,10,11,14],[2,4,9,11,12,13,14],[2,5,7,8,10,12,13],[2,6,8,10,11,13,14],[3,4,5,6,7,13,14],[3,4,5,8,10,12,14],[3,4,7,8,9,12,13],[3,5,6,9,11,12,14],[3,6,7,8,10,11,12],[4,5,6,8,9,11,13]]; G[2153]:=Group([(1,2,3)(5,8,11)(6,9,13)(7,10,12)]); # Design 2154: autom. group order 3, simple, residual B[2154]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,9,10,11,13],[1,3,6,10,12,13,14],[1,4,6,7,11,13,14],[1,4,6,8,9,10,12],[1,4,7,8,10,11,14],[1,5,7,8,9,13,14],[1,5,7,9,10,11,12],[2,3,6,7,8,9,11],[2,3,7,9,10,13,14],[2,4,5,6,9,10,14],[2,4,5,10,11,12,14],[2,4,7,9,11,12,13],[2,5,7,8,10,12,13],[2,6,8,10,11,13,14],[3,4,5,6,7,10,13],[3,4,5,7,8,12,14],[3,4,8,9,12,13,14],[3,5,6,9,11,12,14],[3,6,7,8,10,11,12],[4,5,6,8,9,11,13]]; G[2154]:=Group([(1,2,3)(5,8,11)(6,9,13)(7,10,12)]); # Design 2155: autom. group order 3, simple, residual B[2155]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,6,9,10,13,14],[1,3,5,7,10,11,12],[1,3,6,7,9,12,14],[1,4,6,7,8,10,13],[1,4,6,11,12,13,14],[1,4,7,8,9,11,14],[1,5,7,9,10,11,13],[1,5,8,10,12,13,14],[2,3,6,8,10,11,13],[2,3,7,10,12,13,14],[2,4,5,6,7,10,14],[2,4,5,9,11,13,14],[2,4,7,9,10,11,12],[2,5,7,8,9,12,13],[2,6,7,8,11,12,14],[3,4,5,6,9,12,13],[3,4,5,7,8,13,14],[3,4,8,9,10,12,14],[3,5,6,9,10,11,14],[3,6,7,8,9,11,13],[4,5,6,8,10,11,12]]; G[2155]:=Group([(1,2,3)(5,8,11)(6,10,12)(7,9,13)]); # Design 2156: autom. group order 3, simple B[2156]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,7,9,12,13],[1,3,6,10,11,13,14],[1,4,6,7,8,9,11],[1,4,6,9,10,12,14],[1,4,7,8,11,12,14],[1,5,7,10,11,12,13],[1,5,8,9,10,13,14],[2,3,6,9,10,11,12],[2,3,7,8,9,13,14],[2,4,5,7,10,11,14],[2,4,5,9,10,11,13],[2,4,7,9,12,13,14],[2,5,6,7,8,10,12],[2,6,8,11,12,13,14],[3,4,5,6,8,12,13],[3,4,5,8,10,12,14],[3,4,6,7,10,13,14],[3,5,6,7,9,11,14],[3,7,8,9,10,11,12],[4,5,6,8,9,11,13]]; G[2156]:=Group([(1,2,3)(5,8,11)(6,9,13)(7,10,12)]); # Design 2157: autom. group order 3, simple B[2157]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,6,8,12,13,14],[1,3,5,9,10,13,14],[1,3,6,7,9,11,13],[1,4,6,7,10,12,14],[1,4,6,8,9,10,11],[1,4,7,8,11,12,14],[1,5,7,8,10,13,14],[1,5,7,9,11,12,13],[2,3,6,7,10,11,14],[2,3,7,8,10,12,13],[2,4,5,7,9,11,14],[2,4,5,10,11,12,13],[2,4,7,9,10,13,14],[2,5,6,7,8,9,12],[2,6,8,9,11,13,14],[3,4,5,6,7,8,13],[3,4,5,8,9,12,14],[3,4,6,9,12,13,14],[3,5,6,10,11,12,14],[3,7,8,9,10,11,12],[4,5,6,8,10,11,13]]; G[2157]:=Group([(1,2,3)(5,8,11)(6,10,13)(7,9,12)]); # Design 2158: autom. group order 3, simple, residual B[2158]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,6,8,10,12,14],[1,3,5,7,10,13,14],[1,3,6,9,10,11,13],[1,4,6,7,9,10,14],[1,4,7,8,9,11,14],[1,4,7,8,11,12,13],[1,5,6,9,11,12,14],[1,5,7,8,10,12,13],[2,3,6,7,8,9,13],[2,3,7,9,11,12,14],[2,4,5,6,7,10,11],[2,4,5,10,11,13,14],[2,4,9,10,12,13,14],[2,5,7,8,9,13,14],[2,6,7,8,10,11,12],[3,4,5,6,8,12,14],[3,4,5,8,9,10,12],[3,4,6,7,12,13,14],[3,5,7,9,10,11,12],[3,6,8,10,11,13,14],[4,5,6,8,9,11,13]]; G[2158]:=Group([(1,2,3)(5,8,11)(6,9,13)(7,10,12)]); # Design 2159: autom. group order 3, simple, residual B[2159]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,10,12],[1,2,6,7,8,13,14],[1,3,5,9,12,13,14],[1,3,6,7,10,11,12],[1,4,6,8,9,11,14],[1,4,7,8,10,11,13],[1,4,9,10,12,13,14],[1,5,6,7,9,11,13],[1,5,7,8,10,12,14],[2,3,6,8,10,12,13],[2,3,7,9,10,11,14],[2,4,5,7,9,11,12],[2,4,5,10,11,13,14],[2,4,6,7,12,13,14],[2,5,7,8,9,10,13],[2,6,8,9,11,12,14],[3,4,5,6,8,9,13],[3,4,5,7,8,12,14],[3,4,6,7,9,10,14],[3,5,6,10,11,13,14],[3,7,8,9,11,12,13],[4,5,6,8,10,11,12]]; G[2159]:=Group([(1,2,3)(5,8,11)(6,10,12)(7,9,13)]); # Design 2160: autom. group order 3, simple, residual B[2160]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,7,10,12,13],[1,3,6,10,11,13,14],[1,4,6,8,9,11,12],[1,4,7,8,11,13,14],[1,4,9,10,12,13,14],[1,5,6,7,8,9,13],[1,5,7,9,10,11,14],[2,3,7,8,9,13,14],[2,3,7,9,10,11,12],[2,4,5,6,10,11,14],[2,4,5,7,9,11,13],[2,4,6,7,12,13,14],[2,5,8,10,12,13,14],[2,6,8,9,10,11,13],[3,4,5,6,8,10,13],[3,4,5,8,9,12,14],[3,4,6,7,9,10,14],[3,5,6,9,11,12,13],[3,6,7,8,11,12,14],[4,5,7,8,10,11,12]]; G[2160]:=Group([(1,2,3)(5,8,11)(6,9,13)(7,10,12)]); # Design 2161: autom. group order 3, simple, residual B[2161]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,5,9,12,13,14],[1,3,6,7,9,11,13],[1,4,6,8,9,11,12],[1,4,7,10,12,13,14],[1,4,8,10,11,13,14],[1,5,6,7,8,10,13],[1,5,7,9,10,11,14],[2,3,7,8,10,12,13],[2,3,7,9,10,11,14],[2,4,5,6,11,13,14],[2,4,5,7,10,11,12],[2,4,6,7,9,13,14],[2,5,8,9,12,13,14],[2,6,8,9,10,11,13],[3,4,5,6,8,10,14],[3,4,5,7,8,9,13],[3,4,6,9,10,12,14],[3,5,6,10,11,12,13],[3,6,7,8,11,12,14],[4,5,7,8,9,11,12]]; G[2161]:=Group([(1,2,3)(5,8,11)(6,10,13)(7,9,12)]); # Design 2162: autom. group order 3, simple, residual B[2162]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[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],[1,3,7,9,10,11,12],[1,4,6,7,10,13,14],[1,4,6,8,9,11,12],[1,4,7,8,11,13,14],[1,5,6,8,9,10,14],[1,5,7,9,10,11,13],[2,3,6,7,8,10,13],[2,3,6,9,10,11,14],[2,4,5,6,10,11,13],[2,4,5,7,9,11,14],[2,4,7,9,10,12,14],[2,5,7,8,9,12,13],[2,8,10,11,12,13,14],[3,4,5,7,8,10,12],[3,4,5,8,9,13,14],[3,4,6,9,12,13,14],[3,5,6,7,11,12,14],[3,6,7,8,9,11,13],[4,5,6,8,10,11,12]]; G[2162]:=Group([(1,2,3)(5,8,11)(6,10,12)(7,9,13)]); # Design 2163: autom. group order 3, simple, residual B[2163]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,9,12,13],[1,2,6,8,9,12,14],[1,3,5,7,10,12,14],[1,3,7,9,10,11,12],[1,4,6,7,10,13,14],[1,4,6,8,9,10,11],[1,4,7,8,11,13,14],[1,5,6,7,9,11,13],[1,5,8,10,12,13,14],[2,3,6,7,8,10,13],[2,3,6,10,11,13,14],[2,4,5,7,9,11,14],[2,4,5,10,11,12,13],[2,4,7,9,10,12,14],[2,5,7,8,9,10,13],[2,6,7,8,11,12,14],[3,4,5,6,7,8,12],[3,4,5,8,9,13,14],[3,4,6,9,12,13,14],[3,5,6,9,10,11,14],[3,7,8,9,11,12,13],[4,5,6,8,10,11,12]]; G[2163]:=Group([(1,2,3)(5,8,11)(6,10,12)(7,9,13)]); # Design 2164: autom. group order 3, simple B[2164]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,7,9,12],[1,2,6,8,12,13,14],[1,3,5,9,10,13,14],[1,3,7,9,11,12,13],[1,4,6,7,9,10,14],[1,4,6,8,9,11,14],[1,4,7,8,10,11,13],[1,5,6,8,10,12,13],[1,5,7,10,11,12,14],[2,3,6,7,10,11,14],[2,3,7,8,9,10,12],[2,4,5,6,9,11,13],[2,4,5,10,11,12,14],[2,4,9,10,12,13,14],[2,5,7,8,9,13,14],[2,6,7,8,10,11,13],[3,4,5,6,8,10,12],[3,4,5,7,8,13,14],[3,4,6,7,12,13,14],[3,5,6,9,10,11,13],[3,6,8,9,11,12,14],[4,5,7,8,9,11,12]]; G[2164]:=Group([(1,2,3)(5,8,11)(6,10,13)(7,9,12)]); # Design 2165: autom. group order 3, simple, residual B[2165]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,4,11,12,13],[1,2,3,5,8,11,14],[1,2,5,6,8,9,12],[1,2,7,10,12,13,14],[1,3,5,7,10,11,12],[1,3,6,9,10,13,14],[1,4,6,7,8,10,13],[1,4,6,11,12,13,14],[1,4,7,8,9,11,14],[1,5,6,9,10,11,14],[1,5,7,8,9,12,13],[2,3,6,7,9,12,14],[2,3,6,8,10,11,13],[2,4,5,6,7,10,14],[2,4,5,9,11,13,14],[2,4,7,9,10,11,12],[2,5,8,10,12,13,14],[2,6,7,8,9,11,13],[3,4,5,6,9,12,13],[3,4,5,7,8,13,14],[3,4,8,9,10,12,14],[3,5,7,9,10,11,13],[3,6,7,8,11,12,14],[4,5,6,8,10,11,12]]; G[2165]:=Group([(1,2,3)(5,8,11)(6,10,12)(7,9,13)]); # Design 2166: autom. group order 3, simple, residual B[2166]:=[[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],[1,3,5,8,9,13,14],[1,4,5,7,10,11,13],[1,4,6,8,9,10,12],[1,5,6,10,12,13,14],[1,6,7,8,9,11,14],[1,6,7,8,11,12,13],[2,3,6,7,10,12,14],[2,3,6,8,11,13,14],[2,4,5,11,12,13,14],[2,4,6,7,9,11,13],[2,5,6,8,10,11,12],[2,5,7,8,9,10,14],[2,5,7,8,9,12,13],[3,4,5,8,9,11,12],[3,4,6,9,12,13,14],[3,4,7,8,10,11,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,13],[4,5,6,9,10,11,14]]; G[2166]:=Group([(1,2,3)(4,6,5)(9,10,11)]); # Design 2167: autom. group order 3, simple, residual B[2167]:=[[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],[1,3,5,8,11,13,14],[1,4,5,7,9,11,13],[1,4,6,8,9,10,12],[1,5,6,9,12,13,14],[1,6,7,8,10,11,14],[1,6,7,8,11,12,13],[2,3,6,7,11,12,14],[2,3,6,8,9,13,14],[2,4,5,11,12,13,14],[2,4,6,7,10,11,13],[2,5,6,8,9,11,12],[2,5,7,8,9,10,14],[2,5,7,8,10,12,13],[3,4,5,8,10,11,12],[3,4,6,10,12,13,14],[3,4,7,8,9,11,14],[3,4,7,8,9,12,13],[3,5,6,7,9,10,13],[4,5,6,9,10,11,14]]; G[2167]:=Group([(1,2,3)(4,6,5)(9,11,10)]); # Design 2168: autom. group order 3, simple, residual B[2168]:=[[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],[1,3,5,8,9,13,14],[1,4,5,10,12,13,14],[1,4,6,7,9,11,13],[1,5,6,8,10,11,12],[1,6,7,8,9,10,14],[1,6,7,8,11,12,13],[2,3,6,7,10,12,14],[2,3,6,8,11,13,14],[2,4,5,8,9,11,12],[2,4,6,11,12,13,14],[2,5,6,7,9,10,13],[2,5,7,8,9,12,13],[2,5,7,8,10,11,14],[3,4,5,7,10,11,13],[3,4,6,8,9,10,12],[3,4,7,8,9,11,14],[3,4,7,8,10,12,13],[3,5,6,9,12,13,14],[4,5,6,9,10,11,14]]; G[2168]:=Group([(1,2,3)(4,6,5)(9,10,11)]); # Design 2169: autom. group order 3, simple, residual B[2169]:=[[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],[1,3,5,8,11,13,14],[1,4,5,9,12,13,14],[1,4,6,7,10,11,13],[1,5,6,8,9,11,12],[1,6,7,8,9,10,14],[1,6,7,8,11,12,13],[2,3,6,7,11,12,14],[2,3,6,8,9,13,14],[2,4,5,8,10,11,12],[2,4,6,11,12,13,14],[2,5,6,7,9,10,13],[2,5,7,8,9,11,14],[2,5,7,8,10,12,13],[3,4,5,7,9,11,13],[3,4,6,8,9,10,12],[3,4,7,8,9,12,13],[3,4,7,8,10,11,14],[3,5,6,10,12,13,14],[4,5,6,9,10,11,14]]; G[2169]:=Group([(1,2,3)(4,6,5)(9,11,10)]); # Design 2170: autom. group order 3, simple, residual B[2170]:=[[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],[1,2,4,10,11,12,14],[1,3,5,6,11,13,14],[1,3,5,8,9,12,14],[1,4,5,7,9,10,13],[1,4,7,9,11,12,14],[1,5,7,8,10,11,13],[1,6,7,8,9,11,14],[1,6,8,9,10,12,13],[2,3,7,8,9,10,14],[2,3,7,9,11,12,13],[2,4,5,9,11,13,14],[2,4,6,8,9,10,11],[2,5,6,7,8,12,14],[2,5,6,9,10,13,14],[2,5,7,8,11,12,13],[3,4,5,8,10,11,12],[3,4,6,7,9,12,13],[3,4,6,8,11,13,14],[3,4,7,8,10,13,14],[3,5,6,9,10,11,12],[4,5,6,7,10,12,14]]; G[2170]:=Group([(1,3,14)(2,8,11)(5,13,12)(6,10,9)]); # Design 2171: autom. group order 3, simple, residual B[2171]:=[[1,2,3,4,5,6,7],[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],[1,2,4,8,9,12,13],[1,3,5,6,8,10,12],[1,3,5,9,11,13,14],[1,4,5,7,8,11,14],[1,4,7,9,10,11,12],[1,5,7,10,12,13,14],[1,6,7,8,9,12,14],[1,6,8,9,10,11,13],[2,3,7,8,9,10,13],[2,3,7,8,11,12,14],[2,4,5,10,11,12,13],[2,4,6,7,9,10,14],[2,5,6,7,9,11,12],[2,5,6,8,12,13,14],[2,5,8,9,10,11,14],[3,4,5,9,10,12,14],[3,4,6,8,10,11,14],[3,4,6,9,12,13,14],[3,4,7,8,11,12,13],[3,5,6,7,9,11,13],[4,5,6,7,8,10,13]]; G[2171]:=Group([(1,7,9)(2,13,5)(4,10,11)(6,8,14)]); # Design 2172: autom. group order 3, simple B[2172]:=[[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],[1,3,5,7,9,12,13],[1,3,5,8,11,13,14],[1,4,5,6,11,13,14],[1,4,8,10,11,12,13],[1,5,7,8,9,10,12],[1,6,7,8,9,13,14],[1,6,7,9,10,11,14],[2,3,6,9,12,13,14],[2,3,7,8,10,13,14],[2,4,5,7,10,13,14],[2,4,7,8,9,11,13],[2,5,6,8,9,10,11],[2,5,6,9,11,12,13],[2,5,7,8,11,12,14],[3,4,5,9,10,11,14],[3,4,6,7,8,11,12],[3,4,6,8,9,10,13],[3,4,7,9,11,12,14],[3,5,6,8,10,12,14],[4,5,6,7,10,12,13]]; G[2172]:=Group([(2,7,11)(3,6,10)(4,9,13)(5,14,12)]); # Design 2173: autom. group order 3, simple, residual B[2173]:=[[1,2,3,4,5,6,7],[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],[1,4,5,6,8,11,12],[1,4,7,9,10,11,13],[1,5,7,9,10,12,14],[1,6,7,8,9,11,13],[1,6,7,8,9,12,14],[2,3,6,9,11,12,14],[2,3,7,8,11,12,13],[2,4,5,7,9,12,13],[2,4,7,8,10,12,14],[2,5,6,7,8,13,14],[2,5,6,9,10,11,14],[2,5,8,9,10,11,13],[3,4,5,7,9,11,14],[3,4,6,8,9,13,14],[3,4,6,9,10,12,13],[3,4,7,8,10,11,14],[3,5,6,7,10,12,13],[4,5,6,8,10,11,12]]; G[2173]:=Group([(2,7,13)(3,9,14)(4,6,11)(5,8,12)]); # Design 2174: autom. group order 3, simple, residual B[2174]:=[[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],[1,2,4,7,10,13,14],[1,3,5,7,8,12,14],[1,3,5,9,10,13,14],[1,4,5,9,11,12,14],[1,4,6,8,9,11,13],[1,5,6,7,9,10,11],[1,6,7,8,11,12,14],[1,7,8,9,10,12,13],[2,3,6,7,8,9,14],[2,3,7,9,11,12,13],[2,4,5,7,10,11,12],[2,4,8,9,10,12,14],[2,5,6,8,9,10,12],[2,5,6,9,11,13,14],[2,5,7,8,11,13,14],[3,4,5,8,11,12,13],[3,4,6,7,9,12,13],[3,4,6,8,10,11,14],[3,4,7,9,10,11,14],[3,5,6,10,12,13,14],[4,5,6,7,8,10,13]]; G[2174]:=Group([(1,10,13)(2,3,14)(4,11,5)(7,8,9)]); # Design 2175: autom. group order 3, simple, residual B[2175]:=[[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],[1,2,4,9,10,11,14],[1,3,5,7,10,11,12],[1,3,5,11,12,13,14],[1,4,5,7,8,13,14],[1,4,6,8,11,12,13],[1,5,6,7,9,10,14],[1,6,7,8,9,12,14],[1,7,8,9,10,11,13],[2,3,6,7,8,11,14],[2,3,7,8,9,12,13],[2,4,5,7,9,11,13],[2,4,7,8,10,12,14],[2,5,6,7,10,12,13],[2,5,6,9,11,12,14],[2,5,8,10,11,13,14],[3,4,5,8,10,12,14],[3,4,6,7,11,13,14],[3,4,6,9,10,13,14],[3,4,7,9,10,11,12],[3,5,6,8,9,10,13],[4,5,6,8,9,11,12]]; G[2175]:=Group([(1,4,14)(2,10,9)(3,12,6)(5,8,7)]); # Design 2176: autom. group order 3, simple, residual B[2176]:=[[1,2,3,4,5,6,7],[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],[1,2,4,8,12,13,14],[1,3,5,7,9,13,14],[1,3,5,10,11,12,14],[1,4,5,9,10,11,13],[1,4,6,10,11,13,14],[1,5,7,8,11,12,14],[1,6,7,8,9,10,13],[1,6,7,8,9,11,12],[2,3,6,8,11,13,14],[2,3,7,9,11,13,14],[2,4,5,7,8,10,11],[2,4,7,9,10,11,14],[2,5,6,7,10,12,13],[2,5,6,9,10,12,14],[2,5,8,9,11,12,13],[3,4,5,6,11,12,13],[3,4,6,7,9,11,12],[3,4,7,8,10,12,14],[3,4,8,9,10,12,13],[3,5,6,8,9,10,14],[4,5,6,7,8,13,14]]; G[2176]:=Group([(1,3,10)(2,12,11)(5,8,13)(6,7,14)]); # Design 2177: autom. group order 3, simple, residual B[2177]:=[[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],[1,2,4,9,10,12,13],[1,3,5,7,9,13,14],[1,3,5,10,11,12,14],[1,4,5,7,8,11,12],[1,4,7,9,10,12,14],[1,5,6,8,9,11,13],[1,6,7,8,9,10,11],[1,6,7,8,12,13,14],[2,3,6,7,9,11,14],[2,3,7,8,9,12,13],[2,4,5,6,8,12,14],[2,4,7,8,10,11,13],[2,5,6,7,9,10,12],[2,5,7,11,12,13,14],[2,5,8,9,10,11,14],[3,4,5,7,10,11,13],[3,4,6,7,8,10,14],[3,4,6,9,11,12,13],[3,4,8,9,11,12,14],[3,5,6,8,10,12,13],[4,5,6,9,10,13,14]]; G[2177]:=Group([(1,4,11)(2,13,6)(3,10,9)(5,7,8)]); # Design 2178: autom. group order 3, simple B[2178]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,9,10],[1,2,3,7,10,11,12],[1,2,4,6,11,12,13],[1,2,4,10,11,13,14],[1,3,5,7,10,13,14],[1,3,5,8,11,13,14],[1,4,5,9,11,12,14],[1,4,7,8,9,12,14],[1,5,6,9,10,12,13],[1,6,7,8,9,11,13],[1,6,7,8,10,12,14],[2,3,6,9,11,12,14],[2,3,7,9,12,13,14],[2,4,5,7,8,12,13],[2,4,6,8,10,13,14],[2,5,6,7,9,13,14],[2,5,7,8,10,11,12],[2,5,8,9,10,11,14],[3,4,5,6,10,12,14],[3,4,6,7,8,11,14],[3,4,7,9,10,11,13],[3,4,8,9,10,12,13],[3,5,6,8,11,12,13],[4,5,6,7,9,10,11]]; G[2178]:=Group([(1,9,13)(3,14,4)(5,12,10)(7,11,8)]); # Design 2179: autom. group order 3, simple, residual B[2179]:=[[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],[1,2,4,7,9,10,11],[1,2,4,11,12,13,14],[1,3,5,7,9,10,13],[1,3,5,11,12,13,14],[1,4,5,6,8,11,13],[1,4,6,7,10,12,14],[1,5,8,9,10,12,14],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,6,7,8,12,13],[2,3,6,8,9,11,14],[2,4,5,7,8,12,14],[2,4,6,9,10,13,14],[2,5,6,9,10,12,13],[2,5,7,8,10,11,14],[2,5,7,9,11,12,13],[3,4,5,6,9,12,14],[3,4,7,8,10,12,13],[3,4,7,9,11,13,14],[3,4,8,9,10,11,12],[3,5,6,7,10,11,14],[4,5,6,8,10,11,13]]; G[2179]:=Group([(2,7,12)(3,9,14)(4,6,11)(5,8,13)]); # Design 2180: autom. group order 3, simple, residual B[2180]:=[[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],[1,3,5,7,10,12,13],[1,3,5,9,11,13,14],[1,4,6,7,9,11,14],[1,4,6,8,9,10,13],[1,5,6,8,11,12,14],[1,5,7,8,9,10,14],[1,6,7,8,11,12,13],[2,3,6,8,10,11,14],[2,3,7,8,11,13,14],[2,4,5,7,9,11,12],[2,4,5,8,9,13,14],[2,5,6,7,12,13,14],[2,5,6,9,10,11,13],[2,6,7,8,9,10,12],[3,4,5,8,10,11,12],[3,4,6,7,10,13,14],[3,4,6,9,11,12,13],[3,4,7,8,9,12,14],[3,5,6,9,10,12,14],[4,5,7,8,10,11,13]]; G[2180]:=Group([(1,2,4)(3,5,6)(10,12,14)]); # Design 2181: autom. group order 3, simple, residual B[2181]:=[[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],[1,3,5,7,10,12,13],[1,3,5,9,11,13,14],[1,4,6,7,9,11,12],[1,4,6,8,9,13,14],[1,5,6,8,10,11,14],[1,5,7,8,9,12,14],[1,6,7,8,10,11,13],[2,3,6,8,11,12,14],[2,3,7,8,11,13,14],[2,4,5,7,9,11,14],[2,4,5,8,9,10,13],[2,5,6,7,10,13,14],[2,5,6,9,11,12,13],[2,6,7,8,9,10,12],[3,4,5,8,10,11,12],[3,4,6,7,12,13,14],[3,4,6,9,10,11,13],[3,4,7,8,9,10,14],[3,5,6,9,10,12,14],[4,5,7,8,11,12,13]]; G[2181]:=Group([(1,2,4)(3,5,6)(10,14,12)]); # Design 2182: autom. group order 3, simple, residual B[2182]:=[[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],[1,3,5,7,10,13,14],[1,3,5,9,11,12,13],[1,4,6,7,9,11,12],[1,4,6,8,9,13,14],[1,5,6,8,10,11,14],[1,5,7,8,9,12,14],[1,6,7,8,10,11,13],[2,3,6,8,11,12,14],[2,3,7,8,11,13,14],[2,4,5,7,9,11,14],[2,4,5,8,9,10,13],[2,5,6,7,12,13,14],[2,5,6,9,10,11,13],[2,6,7,8,9,10,12],[3,4,5,8,10,11,12],[3,4,6,7,10,12,13],[3,4,6,9,11,13,14],[3,4,7,8,9,10,14],[3,5,6,9,10,12,14],[4,5,7,8,11,12,13]]; G[2182]:=Group([(1,2,4)(3,5,6)(10,14,12)]); # Design 2183: autom. group order 3, simple, residual B[2183]:=[[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],[1,3,5,9,10,11,13],[1,4,6,7,9,11,14],[1,4,6,8,9,10,13],[1,5,6,8,11,12,14],[1,5,7,8,9,10,14],[1,6,7,8,11,12,13],[2,3,6,8,10,11,14],[2,3,7,8,11,13,14],[2,4,5,7,9,11,12],[2,4,5,8,9,13,14],[2,5,6,7,10,13,14],[2,5,6,9,11,12,13],[2,6,7,8,9,10,12],[3,4,5,8,10,11,12],[3,4,6,7,10,12,13],[3,4,6,9,11,13,14],[3,4,7,8,9,12,14],[3,5,6,9,10,12,14],[4,5,7,8,10,11,13]]; G[2183]:=Group([(1,2,4)(3,5,6)(10,12,14)]); # Design 2184: autom. group order 3, simple, residual B[2184]:=[[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],[1,3,5,9,11,13,14],[1,4,6,7,9,11,14],[1,4,6,8,9,10,13],[1,5,6,8,10,11,12],[1,5,7,8,9,10,12],[1,6,7,8,11,13,14],[2,3,6,8,11,12,14],[2,3,7,8,10,11,13],[2,4,5,7,9,11,12],[2,4,5,8,9,13,14],[2,5,6,7,10,13,14],[2,5,6,9,10,11,13],[2,6,7,8,9,12,14],[3,4,5,8,10,11,14],[3,4,6,7,10,12,13],[3,4,6,9,11,12,13],[3,4,7,8,9,10,14],[3,5,6,9,10,12,14],[4,5,7,8,11,12,13]]; G[2184]:=Group([(1,2,4)(3,5,6)(10,12,14)]); # Design 2185: autom. group order 3, simple, residual B[2185]:=[[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],[1,3,5,7,10,12,13],[1,3,5,9,11,13,14],[1,4,6,7,9,11,14],[1,4,6,8,9,10,13],[1,5,6,8,10,11,12],[1,5,7,8,11,13,14],[1,6,7,8,9,12,14],[2,3,6,8,11,12,14],[2,3,7,8,9,10,14],[2,4,5,7,9,11,12],[2,4,5,8,9,13,14],[2,5,6,7,12,13,14],[2,5,6,9,10,11,13],[2,6,7,8,10,11,13],[3,4,5,8,10,11,14],[3,4,6,7,10,13,14],[3,4,6,9,11,12,13],[3,4,7,8,11,12,13],[3,5,6,9,10,12,14],[4,5,7,8,9,10,12]]; G[2185]:=Group([(1,2,4)(3,5,6)(10,12,14)]); # Design 2186: autom. group order 3, simple, residual B[2186]:=[[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],[1,3,5,7,10,12,13],[1,3,5,9,11,13,14],[1,4,6,7,9,11,12],[1,4,6,8,9,13,14],[1,5,6,8,10,11,12],[1,5,7,8,11,13,14],[1,6,7,8,9,10,14],[2,3,6,8,10,11,14],[2,3,7,8,9,12,14],[2,4,5,7,9,11,14],[2,4,5,8,9,10,13],[2,5,6,7,10,13,14],[2,5,6,9,11,12,13],[2,6,7,8,11,12,13],[3,4,5,8,11,12,14],[3,4,6,7,12,13,14],[3,4,6,9,10,11,13],[3,4,7,8,10,11,13],[3,5,6,9,10,12,14],[4,5,7,8,9,10,12]]; G[2186]:=Group([(1,2,4)(3,5,6)(10,14,12)]); # Design 2187: autom. group order 3, simple, residual B[2187]:=[[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],[1,3,5,7,10,13,14],[1,3,5,8,11,12,14],[1,4,6,7,9,11,14],[1,4,6,8,9,10,13],[1,5,6,9,10,11,13],[1,5,7,8,11,12,13],[1,6,7,8,9,12,14],[2,3,6,9,11,12,13],[2,3,7,8,9,10,14],[2,4,5,7,9,11,12],[2,4,5,8,9,13,14],[2,5,6,7,10,12,13],[2,5,6,8,10,11,14],[2,6,7,8,11,13,14],[3,4,5,9,11,13,14],[3,4,6,7,12,13,14],[3,4,6,8,10,11,12],[3,4,7,8,10,11,13],[3,5,6,9,10,12,14],[4,5,7,8,9,10,12]]; G[2187]:=Group([(1,2,4)(3,5,6)(10,12,14)]); # Design 2188: autom. group order 3, simple, residual B[2188]:=[[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],[1,3,5,8,10,11,14],[1,4,6,7,9,11,14],[1,4,6,8,9,10,13],[1,5,6,9,10,11,13],[1,5,7,8,11,12,13],[1,6,7,8,9,12,14],[2,3,6,9,11,12,13],[2,3,7,8,9,10,14],[2,4,5,7,9,11,12],[2,4,5,8,9,13,14],[2,5,6,7,10,13,14],[2,5,6,8,10,11,12],[2,6,7,8,11,13,14],[3,4,5,9,11,13,14],[3,4,6,7,10,12,13],[3,4,6,8,11,12,14],[3,4,7,8,10,11,13],[3,5,6,9,10,12,14],[4,5,7,8,9,10,12]]; G[2188]:=Group([(1,2,4)(3,5,6)(10,12,14)]); # Design 2189: autom. group order 3, simple B[2189]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,11],[1,2,4,6,12,13,14],[1,2,4,9,10,13,14],[1,3,5,6,11,13,14],[1,3,5,7,9,12,13],[1,4,7,8,11,12,13],[1,4,7,9,10,11,14],[1,5,6,8,10,12,14],[1,5,8,9,11,12,14],[1,6,7,8,9,10,13],[2,3,7,8,9,12,14],[2,3,8,10,12,13,14],[2,4,5,7,11,12,14],[2,4,5,8,10,11,13],[2,5,6,7,9,10,14],[2,5,6,8,9,11,13],[2,6,7,9,11,12,13],[3,4,5,9,10,12,13],[3,4,6,7,8,13,14],[3,4,6,8,9,11,14],[3,4,6,9,10,11,12],[3,5,7,10,11,13,14],[4,5,6,7,8,10,12]]; G[2189]:=Group([(1,8,13)(2,14,5)(4,12,11)(6,9,10)]); # Design 2190: autom. group order 3, simple B[2190]:=[[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],[1,2,4,6,10,12,14],[1,2,4,8,9,11,14],[1,3,5,7,12,13,14],[1,3,5,8,9,10,13],[1,4,6,7,8,12,13],[1,4,7,8,11,13,14],[1,5,6,9,10,13,14],[1,5,6,9,11,12,14],[1,7,8,9,10,11,12],[2,3,6,8,9,12,14],[2,3,7,9,11,13,14],[2,4,5,7,9,12,13],[2,4,5,10,11,13,14],[2,5,6,8,11,12,13],[2,5,7,8,10,12,14],[2,6,7,8,9,10,13],[3,4,5,8,10,11,12],[3,4,6,8,10,13,14],[3,4,6,9,11,12,13],[3,4,7,9,10,12,14],[3,5,6,7,8,11,14],[4,5,6,7,9,10,11]]; G[2190]:=Group([(2,5,8)(3,9,4)(6,13,11)(7,10,14)]); # Design 2191: autom. group order 3, simple B[2191]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,11,12,13],[1,2,4,8,9,10,13],[1,3,5,7,11,13,14],[1,3,5,8,9,12,14],[1,4,6,8,12,13,14],[1,4,7,8,10,11,14],[1,5,6,7,9,10,12],[1,5,6,9,11,13,14],[1,7,8,9,10,11,12],[2,3,6,7,8,9,11],[2,3,9,10,12,13,14],[2,4,5,7,10,12,14],[2,4,5,9,11,12,14],[2,5,6,8,10,11,14],[2,5,7,8,11,12,13],[2,6,7,8,9,13,14],[3,4,5,8,10,11,13],[3,4,6,7,8,12,14],[3,4,6,9,10,11,14],[3,4,7,9,11,12,13],[3,5,6,8,10,12,13],[4,5,6,7,9,10,13]]; G[2191]:=Group([(2,5,8)(3,9,4)(6,14,10)(7,12,13)]); # Design 2192: autom. group order 3, simple B[2192]:=[[1,2,3,4,5,6,7],[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],[1,2,4,11,12,13,14],[1,3,5,7,10,12,13],[1,3,5,8,11,13,14],[1,4,6,7,8,11,13],[1,4,7,8,9,10,14],[1,5,6,9,10,13,14],[1,5,7,9,11,12,14],[1,6,8,9,10,11,12],[2,3,6,9,11,13,14],[2,3,7,9,10,11,14],[2,4,5,8,9,10,11],[2,4,5,10,11,12,13],[2,5,6,7,8,12,14],[2,5,7,8,10,13,14],[2,6,7,8,9,12,13],[3,4,5,6,9,12,14],[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],[4,5,6,7,9,11,13]]; G[2192]:=Group([(1,5,9)(3,4,8)(6,10,13)(7,11,12)]); # Design 2193: autom. group order 3, simple B[2193]:=[[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],[1,2,4,6,12,13,14],[1,2,4,8,9,11,12],[1,3,5,7,11,12,13],[1,3,5,8,9,13,14],[1,4,6,7,8,10,14],[1,4,8,10,11,12,13],[1,5,6,9,10,13,14],[1,5,7,9,10,11,12],[1,6,7,8,9,11,14],[2,3,6,9,11,12,14],[2,3,7,8,9,10,13],[2,4,5,7,11,13,14],[2,4,5,9,10,11,14],[2,5,6,8,10,11,13],[2,5,7,8,10,12,14],[2,6,7,8,9,12,13],[3,4,5,6,8,10,12],[3,4,6,9,10,11,13],[3,4,7,8,11,13,14],[3,4,7,9,10,12,14],[3,5,6,8,11,12,14],[4,5,6,7,9,12,13]]; G[2193]:=Group([(2,5,8)(3,9,4)(6,13,11)(7,14,12)]); # Design 2194: autom. group order 3, simple B[2194]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,10,11,13],[1,2,4,8,9,12,14],[1,3,5,8,9,10,13],[1,3,5,11,12,13,14],[1,4,6,7,8,12,13],[1,4,7,8,10,11,14],[1,5,6,9,10,12,14],[1,5,7,9,11,12,13],[1,6,7,8,9,11,14],[2,3,6,7,9,12,14],[2,3,7,8,9,11,13],[2,4,5,7,12,13,14],[2,4,5,9,10,11,14],[2,5,6,8,11,13,14],[2,5,7,8,10,11,12],[2,6,8,9,10,12,13],[3,4,5,6,8,11,12],[3,4,6,9,11,13,14],[3,4,7,9,10,11,12],[3,4,8,10,12,13,14],[3,5,6,7,8,10,14],[4,5,6,7,9,10,13]]; G[2194]:=Group([(2,5,8)(3,9,4)(6,13,14)(7,10,12)]); # Design 2195: autom. group order 3, simple B[2195]:=[[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],[1,2,4,8,11,12,13],[1,2,4,9,10,11,14],[1,3,5,6,11,12,14],[1,3,5,8,9,13,14],[1,4,6,7,8,12,13],[1,4,6,9,10,13,14],[1,5,7,8,10,12,14],[1,5,7,9,11,12,13],[1,6,7,8,9,10,11],[2,3,7,8,11,13,14],[2,3,7,9,10,12,13],[2,4,5,6,7,13,14],[2,4,5,8,10,11,12],[2,5,6,8,9,10,13],[2,5,6,9,11,12,14],[2,6,7,8,9,12,14],[3,4,5,7,9,10,12],[3,4,6,8,10,12,14],[3,4,6,9,11,12,13],[3,4,7,8,9,11,14],[3,5,6,8,10,11,13],[4,5,7,10,11,13,14]]; G[2195]:=Group([(1,5,7)(3,4,6)(8,14,10)(9,13,11)]); # Design 2196: autom. group order 3, simple, residual B[2196]:=[[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],[1,2,4,8,9,12,13],[1,3,5,7,10,13,14],[1,3,6,11,12,13,14],[1,4,5,9,10,13,14],[1,4,6,8,9,11,14],[1,5,6,8,10,11,12],[1,5,7,8,11,12,13],[1,6,7,8,9,10,14],[2,3,5,8,9,12,14],[2,3,6,8,10,13,14],[2,4,5,10,11,12,14],[2,4,7,8,10,11,14],[2,5,6,7,9,11,13],[2,5,6,9,11,13,14],[2,6,7,8,10,12,13],[3,4,5,8,10,11,13],[3,4,6,7,11,12,14],[3,4,6,9,10,12,13],[3,4,7,8,9,11,13],[3,5,7,8,9,12,14],[4,5,6,7,9,10,12]]; G[2196]:=Group([(1,6,11)(3,5,9)(4,13,10)(8,14,12)]); # Design 2197: autom. group order 3, simple, residual B[2197]:=[[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],[1,2,4,7,10,12,13],[1,2,4,8,10,12,14],[1,3,5,7,11,13,14],[1,3,6,8,9,11,12],[1,4,5,11,12,13,14],[1,4,6,9,10,11,14],[1,5,6,8,9,12,13],[1,5,7,8,9,10,14],[1,6,7,8,10,11,13],[2,3,5,9,10,11,12],[2,3,6,8,10,13,14],[2,4,5,8,9,11,13],[2,4,7,8,9,11,13],[2,5,6,7,11,12,14],[2,5,6,9,10,13,14],[2,6,7,8,11,12,14],[3,4,5,8,10,11,14],[3,4,6,7,9,13,14],[3,4,6,10,11,12,13],[3,4,7,8,9,12,14],[3,5,7,8,10,12,13],[4,5,6,7,9,10,12]]; G[2197]:=Group([(1,9,14)(3,13,12)(4,11,6)(5,8,7)]); # Design 2198: autom. group order 3, simple, residual B[2198]:=[[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],[1,3,5,9,11,12,14],[1,3,6,7,12,13,14],[1,4,5,7,10,11,14],[1,4,6,8,9,11,13],[1,5,6,8,10,12,14],[1,5,7,8,10,12,13],[1,6,7,8,9,11,13],[2,3,5,8,11,12,13],[2,3,6,8,10,11,14],[2,4,5,7,11,12,13],[2,4,7,8,9,12,14],[2,5,6,7,9,13,14],[2,5,6,9,10,13,14],[2,6,7,8,10,11,12],[3,4,5,8,9,10,13],[3,4,6,7,9,10,12],[3,4,6,11,12,13,14],[3,4,7,8,10,13,14],[3,5,7,8,9,11,14],[4,5,6,9,10,11,12]]; G[2198]:=Group([(1,4,8)(2,9,6)(3,12,11)(5,14,13)]); # Design 2199: autom. group order 3, simple, residual B[2199]:=[[1,2,3,4,5,6,7],[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],[1,2,4,9,10,12,14],[1,3,5,6,8,13,14],[1,3,7,9,12,13,14],[1,4,5,10,11,13,14],[1,4,6,8,9,11,13],[1,5,7,8,9,10,12],[1,5,7,8,11,12,14],[1,6,7,9,10,11,13],[2,3,5,9,11,13,14],[2,3,7,8,10,11,14],[2,4,5,7,9,10,13],[2,4,7,8,11,12,13],[2,5,6,8,9,11,12],[2,5,6,10,12,13,14],[2,6,7,8,9,13,14],[3,4,5,7,11,12,13],[3,4,6,7,9,12,14],[3,4,6,8,10,12,13],[3,4,8,9,10,11,14],[3,5,6,9,10,11,12],[4,5,6,7,8,10,14]]; G[2199]:=Group([(1,3,11)(2,10,6)(4,8,9)(5,14,13)]); # Design 2200: autom. group order 3, simple B[2200]:=[[1,2,3,4,5,6,7],[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],[1,3,5,6,9,13,14],[1,3,8,11,12,13,14],[1,4,5,9,10,11,12],[1,4,6,7,8,12,14],[1,5,7,8,11,13,14],[1,5,7,9,10,11,12],[1,6,7,8,9,10,13],[2,3,5,10,12,13,14],[2,3,7,8,9,11,12],[2,4,5,7,8,12,13],[2,4,7,9,11,13,14],[2,5,6,7,10,11,14],[2,5,6,8,9,11,13],[2,6,8,9,10,12,14],[3,4,5,8,10,11,14],[3,4,6,7,10,11,13],[3,4,6,9,11,12,13],[3,4,7,8,9,10,14],[3,5,6,7,9,12,14],[4,5,6,8,10,12,13]]; G[2200]:=Group([(1,5,12)(2,8,6)(3,13,14)(9,10,11)]); # Design 2201: autom. group order 3, simple, residual B[2201]:=[[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],[1,3,5,6,8,12,14],[1,3,7,9,10,13,14],[1,4,5,7,10,11,14],[1,4,6,8,9,10,11],[1,5,7,8,9,10,12],[1,5,9,11,12,13,14],[1,6,7,8,11,12,13],[2,3,5,7,11,12,13],[2,3,7,8,9,11,14],[2,4,5,8,10,12,13],[2,4,8,9,11,12,14],[2,5,6,7,9,10,11],[2,5,6,9,10,13,14],[2,6,7,8,10,12,14],[3,4,5,10,11,12,14],[3,4,6,7,9,12,14],[3,4,6,9,10,12,13],[3,4,7,8,10,11,13],[3,5,6,8,9,11,13],[4,5,6,7,8,13,14]]; G[2201]:=Group([(1,6,11)(2,10,4)(3,9,14)(8,13,12)]); # Design 2202: autom. group order 3, simple, residual B[2202]:=[[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],[1,2,4,6,8,11,14],[1,2,4,7,10,12,13],[1,3,5,6,12,13,14],[1,3,7,8,10,11,14],[1,4,5,7,9,13,14],[1,4,6,9,11,12,14],[1,5,7,8,11,12,13],[1,5,8,9,10,12,14],[1,6,7,9,10,11,13],[2,3,5,11,12,13,14],[2,3,7,9,11,13,14],[2,4,5,7,10,11,14],[2,4,8,9,11,12,13],[2,5,6,7,9,10,12],[2,5,6,8,10,13,14],[2,6,7,8,9,12,14],[3,4,5,9,10,11,12],[3,4,6,7,8,12,13],[3,4,6,9,10,13,14],[3,4,7,8,10,12,14],[3,5,6,7,8,9,11],[4,5,6,8,10,11,13]]; G[2202]:=Group([(1,7,13)(2,8,14)(4,12,5)(9,10,11)]); # Design 2203: autom. group order 3, simple, residual B[2203]:=[[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],[1,2,4,6,9,12,14],[1,2,4,7,11,13,14],[1,3,5,6,10,13,14],[1,3,7,8,12,13,14],[1,4,5,7,10,11,12],[1,4,6,8,11,12,14],[1,5,7,9,10,11,12],[1,5,8,9,11,13,14],[1,6,7,8,9,10,13],[2,3,5,11,12,13,14],[2,3,7,8,9,11,12],[2,4,5,8,10,12,13],[2,4,7,9,10,13,14],[2,5,6,7,8,11,13],[2,5,6,9,10,11,14],[2,6,7,8,10,12,14],[3,4,5,7,8,10,14],[3,4,6,7,9,11,13],[3,4,6,10,11,12,13],[3,4,8,9,10,11,14],[3,5,6,7,9,12,14],[4,5,6,8,9,12,13]]; G[2203]:=Group([(1,5,12)(2,8,6)(3,13,14)(7,10,11)]); # Design 2204: autom. group order 3, simple B[2204]:=[[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],[1,2,4,7,10,11,14],[1,3,5,6,11,12,14],[1,3,7,8,9,11,12],[1,4,5,9,11,13,14],[1,4,6,7,10,12,13],[1,5,7,8,9,10,12],[1,5,7,8,10,13,14],[1,6,8,9,11,13,14],[2,3,5,7,9,13,14],[2,3,7,9,10,11,13],[2,4,5,8,11,12,13],[2,4,8,9,10,12,14],[2,5,6,7,8,12,14],[2,5,6,8,10,11,13],[2,6,7,9,11,12,14],[3,4,5,10,11,12,14],[3,4,6,7,8,13,14],[3,4,6,8,9,10,14],[3,4,7,8,11,12,13],[3,5,6,9,10,12,13],[4,5,6,7,9,10,11]]; G[2204]:=Group([(1,2,14)(3,12,13)(4,7,11)(5,6,9)]); # Design 2205: autom. group order 3, simple, residual B[2205]:=[[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],[1,3,5,6,10,13,14],[1,3,7,8,9,10,11],[1,4,5,9,10,11,12],[1,4,7,8,12,13,14],[1,5,6,8,11,12,14],[1,5,7,8,9,11,13],[1,6,7,9,10,12,14],[2,3,5,7,9,12,14],[2,3,7,8,11,12,14],[2,4,5,7,10,11,14],[2,4,6,8,9,10,12],[2,5,6,8,11,12,13],[2,5,9,10,11,13,14],[2,6,7,8,9,10,13],[3,4,5,8,10,12,13],[3,4,6,8,9,11,14],[3,4,6,9,11,13,14],[3,4,7,10,11,12,13],[3,5,6,7,9,12,13],[4,5,6,7,8,10,14]]; G[2205]:=Group([(1,10,12)(2,5,7)(3,4,14)(6,11,9)]); # Design 2206: autom. group order 3, simple B[2206]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,9,10,11,12],[1,2,4,6,7,12,13],[1,2,4,8,12,13,14],[1,3,5,6,10,13,14],[1,3,8,11,12,13,14],[1,4,5,10,11,13,14],[1,4,7,8,9,10,14],[1,5,6,7,9,11,14],[1,5,7,8,9,10,12],[1,6,7,9,11,12,13],[2,3,5,7,11,12,14],[2,3,7,9,10,13,14],[2,4,5,9,11,12,14],[2,4,6,9,10,11,13],[2,5,6,8,9,13,14],[2,5,7,8,10,11,13],[2,6,7,8,10,12,14],[3,4,5,7,10,12,13],[3,4,6,7,8,11,14],[3,4,6,9,10,12,14],[3,4,7,8,9,11,13],[3,5,6,8,9,12,13],[4,5,6,8,10,11,12]]; G[2206]:=Group([(2,7,13)(3,9,14)(4,6,12)(5,11,8)]); # Design 2207: autom. group order 3, simple B[2207]:=[[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],[1,2,4,6,11,12,13],[1,2,4,7,11,12,14],[1,3,5,6,8,13,14],[1,3,7,10,11,13,14],[1,4,5,9,11,13,14],[1,4,8,9,10,12,14],[1,5,6,7,10,12,14],[1,5,7,8,9,10,11],[1,6,7,8,9,12,13],[2,3,5,10,12,13,14],[2,3,7,8,9,12,14],[2,4,5,7,9,10,13],[2,4,6,7,8,10,14],[2,5,6,9,10,11,14],[2,5,7,8,11,12,13],[2,6,8,9,11,13,14],[3,4,5,8,11,12,14],[3,4,6,7,9,13,14],[3,4,6,9,10,11,12],[3,4,7,8,10,11,13],[3,5,6,7,9,11,12],[4,5,6,8,10,12,13]]; G[2207]:=Group([(1,6,10)(2,11,3)(4,9,13)(5,14,7)]); # Design 2208: autom. group order 3, simple, residual B[2208]:=[[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],[1,2,4,9,10,11,14],[1,3,5,6,7,11,14],[1,3,7,8,9,12,13],[1,4,5,7,10,12,14],[1,4,7,8,9,11,13],[1,5,6,8,10,12,13],[1,5,8,10,11,13,14],[1,6,7,9,11,12,14],[2,3,5,11,12,13,14],[2,3,7,8,10,11,12],[2,4,5,7,8,13,14],[2,4,6,7,11,12,13],[2,5,6,8,9,12,14],[2,5,7,9,10,11,13],[2,6,7,8,9,10,14],[3,4,5,9,10,11,12],[3,4,6,8,11,13,14],[3,4,6,9,10,13,14],[3,4,7,8,10,12,14],[3,5,6,7,9,10,13],[4,5,6,8,9,11,12]]; G[2208]:=Group([(1,9,10)(2,14,4)(3,6,12)(5,8,7)]); # Design 2209: autom. group order 3, simple B[2209]:=[[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],[1,2,4,6,8,10,14],[1,2,4,9,11,13,14],[1,3,5,6,8,13,14],[1,3,7,8,9,10,13],[1,4,5,7,10,12,14],[1,4,7,8,9,11,12],[1,5,6,7,9,11,13],[1,5,9,10,12,13,14],[1,6,7,8,11,12,14],[2,3,5,7,9,12,14],[2,3,7,8,12,13,14],[2,4,5,7,10,11,13],[2,4,6,9,12,13,14],[2,5,6,8,9,11,12],[2,5,7,8,10,11,14],[2,6,7,8,9,10,13],[3,4,5,8,11,12,13],[3,4,6,7,9,10,12],[3,4,6,7,11,13,14],[3,4,8,9,10,11,14],[3,5,6,9,10,11,14],[4,5,6,8,10,12,13]]; G[2209]:=Group([(1,3,11)(2,10,12)(4,9,8)(5,14,7)]); # Design 2210: autom. group order 3, simple, residual B[2210]:=[[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],[1,2,4,11,12,13,14],[1,3,5,6,8,11,14],[1,3,7,9,11,13,14],[1,4,5,7,9,12,14],[1,4,7,8,10,11,12],[1,5,6,7,10,12,13],[1,5,8,9,11,12,13],[1,6,7,8,9,10,14],[2,3,5,7,8,12,13],[2,3,7,9,10,11,12],[2,4,5,9,10,11,14],[2,4,6,7,8,12,14],[2,5,6,7,9,11,13],[2,5,7,8,10,11,14],[2,6,8,9,12,13,14],[3,4,5,10,12,13,14],[3,4,6,7,11,13,14],[3,4,6,8,9,11,12],[3,4,7,8,9,10,13],[3,5,6,9,10,12,14],[4,5,6,8,10,11,13]]; G[2210]:=Group([(1,8,13)(2,14,3)(4,6,7)(5,12,11)]); # Design 2211: autom. group order 3, simple, residual B[2211]:=[[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],[1,2,4,8,11,12,14],[1,3,5,6,11,13,14],[1,3,7,8,9,13,14],[1,4,5,7,10,12,13],[1,4,7,8,10,11,14],[1,5,6,9,10,11,13],[1,5,7,8,9,10,12],[1,6,7,9,11,12,14],[2,3,5,7,9,10,14],[2,3,7,10,11,12,13],[2,4,5,7,11,13,14],[2,4,6,7,9,10,11],[2,5,6,8,10,12,14],[2,5,8,9,11,12,13],[2,6,7,8,9,13,14],[3,4,5,9,11,12,14],[3,4,6,7,8,12,13],[3,4,6,9,10,12,14],[3,4,8,9,10,11,13],[3,5,6,7,8,11,12],[4,5,6,8,10,13,14]]; G[2211]:=Group([(1,3,14)(2,9,11)(5,12,8)(6,10,7)]); # Design 2212: autom. group order 3, simple, residual B[2212]:=[[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],[1,2,4,6,11,12,13],[1,2,4,8,10,11,14],[1,3,5,6,9,12,14],[1,3,8,9,11,12,13],[1,4,5,7,8,13,14],[1,4,7,9,10,13,14],[1,5,6,8,10,12,13],[1,5,7,9,10,11,12],[1,6,7,8,9,11,14],[2,3,5,9,11,13,14],[2,3,7,8,10,12,14],[2,4,5,8,9,10,12],[2,4,7,9,11,12,13],[2,5,6,7,9,10,13],[2,5,6,8,11,13,14],[2,6,7,8,9,12,14],[3,4,5,7,11,12,14],[3,4,6,7,8,12,13],[3,4,6,8,9,10,11],[3,4,6,9,10,13,14],[3,5,7,8,10,11,13],[4,5,6,10,11,12,14]]; G[2212]:=Group([(1,8,10)(2,14,4)(3,7,9)(5,12,13)]); # Design 2213: autom. group order 3, simple B[2213]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,9,10],[1,2,4,6,10,13,14],[1,2,4,8,11,12,13],[1,3,5,6,11,13,14],[1,3,7,9,12,13,14],[1,4,5,9,10,13,14],[1,4,7,8,11,12,13],[1,5,6,9,10,11,12],[1,5,7,8,10,12,14],[1,6,7,8,9,11,14],[2,3,5,7,11,12,14],[2,3,8,10,11,13,14],[2,4,5,9,11,12,14],[2,4,7,9,10,11,14],[2,5,6,7,8,13,14],[2,5,6,8,9,12,13],[2,6,7,9,10,12,13],[3,4,5,7,10,12,13],[3,4,6,7,9,11,13],[3,4,6,8,9,12,14],[3,4,6,8,10,12,14],[3,5,8,9,10,11,13],[4,5,6,7,8,10,11]]; G[2213]:=Group([(1,11,13)(3,14,6)(4,12,8)]); # Design 2214: autom. group order 3, simple, residual B[2214]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,11,12,14],[1,3,6,7,8,9,14],[1,4,5,7,10,11,12],[1,4,6,8,11,13,14],[1,5,6,8,10,12,13],[1,5,7,9,10,13,14],[1,7,8,9,11,12,13],[2,3,5,8,12,13,14],[2,3,9,10,11,13,14],[2,4,5,7,12,13,14],[2,4,7,8,9,10,11],[2,5,6,7,9,11,13],[2,5,6,8,9,11,12],[2,6,7,8,10,12,14],[3,4,5,8,10,11,13],[3,4,6,7,9,12,13],[3,4,6,9,10,12,13],[3,4,7,8,11,12,14],[3,5,6,7,10,11,14],[4,5,6,8,9,10,14]]; G[2214]:=Group([(1,11,14)(3,9,12)(4,6,13)]); # Design 2215: autom. group order 3, simple, residual B[2215]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,9,10,14],[1,3,6,9,11,12,13],[1,4,5,11,12,13,14],[1,4,6,7,8,12,14],[1,5,6,7,9,10,13],[1,5,7,8,11,13,14],[1,7,8,9,10,11,12],[2,3,5,8,11,12,14],[2,3,7,8,9,11,13],[2,4,5,7,9,12,13],[2,4,9,10,11,13,14],[2,5,6,7,10,11,14],[2,5,6,8,10,12,13],[2,6,7,8,9,12,14],[3,4,5,7,10,11,12],[3,4,6,7,9,11,14],[3,4,6,8,10,13,14],[3,4,7,8,10,12,13],[3,5,6,9,12,13,14],[4,5,6,8,9,10,11]]; G[2215]:=Group([(1,4,12)(2,7,11)(5,10,6)(8,13,9)]); # Design 2216: autom. group order 3, simple, residual B[2216]:=[[1,2,3,4,5,6,7],[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],[1,2,4,10,12,13,14],[1,3,5,8,9,10,14],[1,3,6,8,11,12,14],[1,4,5,9,11,12,13],[1,4,6,7,9,12,14],[1,5,6,7,9,10,13],[1,5,7,8,11,13,14],[1,7,8,9,10,11,12],[2,3,5,9,11,12,13],[2,3,7,9,11,13,14],[2,4,5,7,8,12,14],[2,4,8,9,10,11,14],[2,5,6,7,8,10,11],[2,5,6,9,10,12,14],[2,6,7,8,9,12,13],[3,4,5,7,10,11,12],[3,4,6,7,9,11,14],[3,4,6,8,9,10,13],[3,4,7,8,10,12,13],[3,5,6,8,12,13,14],[4,5,6,10,11,13,14]]; G[2216]:=Group([(1,4,12)(2,7,11)(5,10,6)(9,13,14)]); # Design 2217: autom. group order 3, simple, residual B[2217]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,9,10,14],[1,3,6,9,11,12,13],[1,4,5,8,11,12,14],[1,4,6,7,8,12,13],[1,5,6,7,10,13,14],[1,5,7,9,11,13,14],[1,7,8,9,10,11,12],[2,3,5,11,12,13,14],[2,3,7,8,11,13,14],[2,4,5,7,9,12,13],[2,4,8,9,10,11,13],[2,5,6,7,9,10,11],[2,5,6,8,10,12,14],[2,6,7,8,9,12,14],[3,4,5,7,10,11,12],[3,4,6,7,8,11,14],[3,4,6,9,10,13,14],[3,4,7,9,10,12,14],[3,5,6,8,9,12,13],[4,5,6,8,10,11,13]]; G[2217]:=Group([(1,4,12)(2,7,11)(5,10,6)(8,14,13)]); # Design 2218: autom. group order 3, simple B[2218]:=[[1,2,3,4,5,6,7],[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],[1,3,5,7,12,13,14],[1,3,6,9,11,13,14],[1,4,5,7,8,11,12],[1,4,7,9,11,12,13],[1,5,6,8,9,10,11],[1,5,6,8,10,12,14],[1,7,8,9,10,13,14],[2,3,5,8,11,13,14],[2,3,7,9,10,11,12],[2,4,5,10,12,13,14],[2,4,6,7,8,9,14],[2,5,6,7,9,10,13],[2,5,8,9,11,12,13],[2,6,7,8,11,12,14],[3,4,5,9,10,11,14],[3,4,6,8,9,12,13],[3,4,6,8,10,12,13],[3,4,7,8,10,11,14],[3,5,6,7,9,12,14],[4,5,6,7,10,11,13]]; G[2218]:=Group([(1,5,7)(2,14,11)(3,12,4)(6,13,8)]); # Design 2219: autom. group order 3, simple, residual B[2219]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,10,13],[1,2,4,9,11,13,14],[1,3,5,8,11,12,13],[1,3,6,8,9,11,14],[1,4,5,9,10,12,14],[1,4,7,8,11,12,14],[1,5,6,7,9,12,13],[1,5,6,7,10,11,14],[1,7,8,9,10,12,13],[2,3,5,7,9,11,12],[2,3,8,9,10,12,14],[2,4,5,10,11,12,13],[2,4,6,7,9,12,14],[2,5,6,8,12,13,14],[2,5,7,8,10,11,14],[2,6,7,8,9,11,13],[3,4,5,7,8,13,14],[3,4,6,7,8,10,12],[3,4,6,11,12,13,14],[3,4,7,9,10,11,13],[3,5,6,9,10,13,14],[4,5,6,8,9,10,11]]; G[2219]:=Group([(1,5,7)(2,10,9)(3,14,12)(4,11,13)]); # Design 2220: autom. group order 3, simple B[2220]:=[[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],[1,2,4,6,7,8,13],[1,2,4,9,10,13,14],[1,3,5,7,12,13,14],[1,3,6,8,9,11,12],[1,4,5,9,10,12,14],[1,4,7,8,11,12,14],[1,5,6,7,9,11,14],[1,5,6,8,10,12,13],[1,7,8,9,10,11,13],[2,3,5,8,11,13,14],[2,3,7,8,9,12,14],[2,4,5,7,10,11,12],[2,4,6,9,11,12,13],[2,5,6,8,10,12,14],[2,5,7,9,11,12,13],[2,6,7,8,9,10,14],[3,4,5,8,9,10,11],[3,4,6,7,10,11,14],[3,4,6,9,12,13,14],[3,4,7,8,10,12,13],[3,5,6,7,9,10,13],[4,5,6,8,11,13,14]]; G[2220]:=Group([(1,11,14)(3,13,10)(4,12,8)(5,9,6)]); # Design 2221: autom. group order 3, simple, residual B[2221]:=[[1,2,3,4,5,6,7],[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],[1,2,4,9,10,11,12],[1,3,5,8,11,12,14],[1,3,6,9,10,13,14],[1,4,5,7,12,13,14],[1,4,7,8,9,11,14],[1,5,6,7,8,10,14],[1,5,7,9,10,11,13],[1,6,8,9,11,12,13],[2,3,5,8,11,13,14],[2,3,7,9,11,13,14],[2,4,5,9,10,13,14],[2,4,6,8,10,11,14],[2,5,6,7,11,12,13],[2,5,7,8,9,10,12],[2,6,7,8,9,12,14],[3,4,5,6,9,11,12],[3,4,6,7,8,9,13],[3,4,7,8,10,12,13],[3,4,7,10,11,12,14],[3,5,6,9,10,12,14],[4,5,6,8,10,11,13]]; G[2221]:=Group([(1,9,11)(2,6,14)(4,12,8)(7,10,13)]); # Design 2222: autom. group order 3, simple B[2222]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,9,11,14],[1,3,6,9,10,12,13],[1,4,5,7,11,12,13],[1,4,7,8,10,11,14],[1,5,6,7,9,12,14],[1,5,8,10,11,12,13],[1,6,7,8,9,13,14],[2,3,5,8,12,13,14],[2,3,7,8,9,11,12],[2,4,5,7,9,10,13],[2,4,6,8,12,13,14],[2,5,6,7,11,12,14],[2,5,9,10,11,13,14],[2,6,7,8,9,10,11],[3,4,5,6,10,11,14],[3,4,6,9,11,13,14],[3,4,7,8,10,12,14],[3,4,7,9,11,12,13],[3,5,6,7,8,10,13],[4,5,6,8,9,10,12]]; G[2222]:=Group([(1,2,14)(3,13,7)(4,12,9)(5,8,6)]); # Design 2223: autom. group order 3, simple B[2223]:=[[1,2,3,4,5,6,7],[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],[1,3,5,8,9,11,14],[1,3,6,9,11,12,13],[1,4,5,7,10,12,13],[1,4,7,8,10,11,14],[1,5,6,7,9,12,14],[1,5,8,10,11,12,13],[1,6,7,8,9,13,14],[2,3,5,8,12,13,14],[2,3,7,8,9,10,12],[2,4,5,7,9,11,13],[2,4,6,8,12,13,14],[2,5,6,7,11,12,14],[2,5,9,10,11,13,14],[2,6,7,8,9,10,11],[3,4,5,6,10,11,14],[3,4,6,9,10,13,14],[3,4,7,8,11,12,14],[3,4,7,9,11,12,13],[3,5,6,7,8,10,13],[4,5,6,8,9,10,12]]; G[2223]:=Group([(1,2,14)(3,13,7)(4,12,9)(5,8,6)]); # Design 2224: autom. group order 3, simple B[2224]:=[[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],[1,3,5,6,7,13,14],[1,3,6,8,9,13,14],[1,4,5,9,10,11,14],[1,4,6,7,8,11,12],[1,5,7,8,9,11,12],[1,5,7,10,12,13,14],[1,6,8,9,10,12,14],[2,3,5,8,10,12,14],[2,3,7,9,11,12,14],[2,4,5,8,12,13,14],[2,4,6,7,9,10,14],[2,5,6,7,8,9,10],[2,5,6,9,11,12,13],[2,6,7,8,11,13,14],[3,4,5,6,11,12,14],[3,4,6,9,10,12,13],[3,4,7,8,9,12,13],[3,4,7,8,10,11,14],[3,5,7,9,10,11,13],[4,5,6,8,10,11,13]]; G[2224]:=Group([(2,9,12)(3,14,7)(4,8,10)(5,6,13)]); # Design 2225: autom. group order 3, simple, residual B[2225]:=[[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],[1,2,4,9,11,13,14],[1,3,5,6,9,11,12],[1,3,7,8,9,10,13],[1,4,5,6,10,13,14],[1,4,6,7,9,12,14],[1,5,7,8,10,12,14],[1,5,8,9,11,13,14],[1,6,7,8,11,12,13],[2,3,5,7,11,13,14],[2,3,7,8,9,12,14],[2,4,5,8,10,12,13],[2,4,6,8,9,12,13],[2,5,6,7,9,10,14],[2,5,6,8,11,12,14],[2,6,7,9,10,11,13],[3,4,5,7,11,12,13],[3,4,6,7,8,13,14],[3,4,6,8,10,11,14],[3,4,9,10,11,12,14],[3,5,6,9,10,12,13],[4,5,7,8,9,10,11]]; G[2225]:=Group([(1,7,12)(2,13,9)(4,11,6)(8,14,10)]); # Design 2226: autom. group order 3, simple B[2226]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,9,10,12,13],[1,2,4,10,11,12,14],[1,3,5,6,11,12,13],[1,3,7,8,9,11,12],[1,4,5,7,9,13,14],[1,4,6,8,10,11,14],[1,5,6,8,9,10,14],[1,5,7,8,10,12,13],[1,6,7,9,11,13,14],[2,3,5,6,10,13,14],[2,3,7,8,9,10,14],[2,4,5,7,11,12,14],[2,4,6,8,9,11,13],[2,5,6,8,9,11,12],[2,5,7,8,11,13,14],[2,6,7,9,10,12,13],[3,4,5,9,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,12,13,14],[3,4,7,8,10,11,13],[3,5,9,10,11,12,14],[4,5,6,7,8,10,12]]; G[2226]:=Group([(1,11,12)(2,10,14)(5,13,6)(7,9,8)]); # Design 2227: autom. group order 3, simple B[2227]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,9,10,12,13],[1,2,4,10,11,12,14],[1,3,5,6,11,12,13],[1,3,7,8,9,11,12],[1,4,5,7,9,13,14],[1,4,6,8,10,11,14],[1,5,6,8,9,11,14],[1,5,7,8,10,13,14],[1,6,7,9,10,12,13],[2,3,5,6,10,13,14],[2,3,7,8,9,10,14],[2,4,5,7,11,12,14],[2,4,6,8,9,11,13],[2,5,6,8,9,10,12],[2,5,7,8,11,12,13],[2,6,7,9,11,13,14],[3,4,5,9,10,11,13],[3,4,6,7,9,12,14],[3,4,6,8,12,13,14],[3,4,7,8,10,11,13],[3,5,9,10,11,12,14],[4,5,6,7,8,10,12]]; G[2227]:=Group([(1,11,12)(2,10,14)(5,13,6)(7,9,8)]); # Design 2228: autom. group order 3, simple B[2228]:=[[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],[1,2,4,7,10,11,14],[1,2,4,11,12,13,14],[1,3,5,6,10,12,14],[1,3,7,8,9,12,14],[1,4,5,7,8,11,12],[1,4,6,9,10,13,14],[1,5,6,7,9,11,13],[1,5,8,9,11,13,14],[1,6,7,8,10,12,13],[2,3,5,6,11,13,14],[2,3,7,9,11,12,13],[2,4,5,8,10,12,13],[2,4,6,7,9,12,14],[2,5,6,8,9,12,14],[2,5,7,8,10,13,14],[2,6,7,8,9,10,11],[3,4,5,7,9,10,13],[3,4,6,7,8,13,14],[3,4,6,8,11,12,13],[3,4,8,9,10,11,14],[3,5,7,10,11,12,14],[4,5,6,9,10,11,12]]; G[2228]:=Group([(1,8,12)(3,5,13)(4,10,9)(6,14,11)]); # Design 2229: autom. group order 3, simple, residual B[2229]:=[[1,2,3,4,5,6,7],[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],[1,2,4,9,11,13,14],[1,3,5,6,8,12,13],[1,3,7,9,11,12,14],[1,4,5,7,11,12,13],[1,4,6,8,9,10,13],[1,5,6,9,10,12,14],[1,5,7,8,9,10,14],[1,6,7,8,11,13,14],[2,3,5,8,11,13,14],[2,3,6,7,9,10,13],[2,4,5,7,10,12,14],[2,4,6,9,12,13,14],[2,5,6,8,10,11,14],[2,5,7,8,9,12,13],[2,6,7,8,9,11,12],[3,4,5,6,9,11,14],[3,4,6,7,8,12,14],[3,4,7,8,9,10,11],[3,4,8,10,12,13,14],[3,5,9,10,11,12,13],[4,5,6,7,10,11,13]]; G[2229]:=Group([(1,8,13)(3,11,9)(4,5,14)(7,10,12)]); # Design 2230: autom. group order 3, simple, residual B[2230]:=[[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],[1,2,4,7,9,13,14],[1,2,4,10,12,13,14],[1,3,5,8,9,13,14],[1,3,7,8,11,13,14],[1,4,5,8,9,10,12],[1,4,6,8,10,11,13],[1,5,6,7,11,12,14],[1,5,6,9,11,12,14],[1,6,7,8,10,12,13],[2,3,5,8,11,12,13],[2,3,6,8,10,12,14],[2,4,6,8,9,11,14],[2,4,7,8,11,12,14],[2,5,6,7,10,11,13],[2,5,6,9,10,13,14],[2,5,7,8,9,12,13],[3,4,5,7,10,12,14],[3,4,5,10,11,13,14],[3,4,6,7,9,12,13],[3,4,6,9,11,12,13],[3,6,7,8,9,10,14],[4,5,7,8,9,10,11]]; G[2230]:=Group([(1,3,6)(2,4,5)(9,12,11)(10,13,14)]); # Design 2231: autom. group order 3, simple, residual B[2231]:=[[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],[1,2,4,7,9,11,14],[1,2,4,11,12,13,14],[1,3,5,8,9,12,14],[1,3,7,8,10,12,14],[1,4,5,8,9,13,14],[1,4,6,8,10,11,12],[1,5,6,7,10,13,14],[1,5,6,9,10,11,13],[1,6,7,8,11,12,13],[2,3,5,8,10,11,13],[2,3,6,8,11,13,14],[2,4,6,8,9,10,12],[2,4,7,8,10,13,14],[2,5,6,7,10,12,14],[2,5,6,9,11,12,14],[2,5,7,8,9,12,13],[3,4,5,7,11,12,13],[3,4,5,10,11,12,14],[3,4,6,7,9,12,13],[3,4,6,9,10,13,14],[3,6,7,8,9,11,14],[4,5,7,8,9,10,11]]; G[2231]:=Group([(1,3,6)(2,4,5)(9,13,10)(11,12,14)]); # Design 2232: autom. group order 3, simple, residual B[2232]:=[[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],[1,2,4,7,9,10,12],[1,2,4,10,11,13,14],[1,3,5,8,9,11,13],[1,3,7,8,11,12,14],[1,4,5,8,10,11,13],[1,4,6,8,9,12,14],[1,5,6,7,11,12,14],[1,5,6,9,10,12,13],[1,6,7,8,10,13,14],[2,3,5,8,10,12,14],[2,3,6,8,10,12,13],[2,4,6,8,9,11,14],[2,4,7,8,11,12,13],[2,5,6,7,11,12,13],[2,5,6,9,10,11,14],[2,5,7,8,9,13,14],[3,4,5,7,9,13,14],[3,4,5,10,11,12,14],[3,4,6,7,10,13,14],[3,4,6,9,11,12,13],[3,6,7,8,9,10,11],[4,5,7,8,9,10,12]]; G[2232]:=Group([(1,3,6)(2,4,5)(9,13,12)(10,14,11)]); # Design 2233: autom. group order 3, simple, residual B[2233]:=[[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],[1,2,4,7,9,13,14],[1,2,4,10,12,13,14],[1,3,5,8,11,13,14],[1,3,7,8,12,13,14],[1,4,5,8,10,11,12],[1,4,6,8,9,10,13],[1,5,6,7,9,12,14],[1,5,6,9,11,12,14],[1,6,7,8,10,11,13],[2,3,5,8,9,12,13],[2,3,6,8,10,12,14],[2,4,6,8,9,11,14],[2,4,7,8,11,12,14],[2,5,6,7,10,12,13],[2,5,6,10,11,13,14],[2,5,7,8,9,11,13],[3,4,5,7,10,11,14],[3,4,5,9,10,13,14],[3,4,6,7,11,12,13],[3,4,6,9,11,12,13],[3,6,7,8,9,10,14],[4,5,7,8,9,10,12]]; G[2233]:=Group([(1,3,6)(2,4,5)(9,11,12)(10,13,14)]); # Design 2234: autom. group order 3, simple, residual B[2234]:=[[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],[1,2,4,7,10,12,14],[1,2,4,9,11,13,14],[1,3,5,9,10,12,13],[1,3,7,8,11,12,14],[1,4,5,8,9,13,14],[1,4,6,10,11,12,13],[1,5,6,7,11,13,14],[1,5,6,8,10,11,12],[1,6,7,8,9,10,14],[2,3,5,8,10,11,14],[2,3,6,10,12,13,14],[2,4,6,8,9,11,12],[2,4,7,8,10,11,13],[2,5,6,7,9,10,13],[2,5,6,9,11,12,14],[2,5,7,8,12,13,14],[3,4,5,7,11,12,13],[3,4,5,9,10,11,14],[3,4,6,7,9,12,14],[3,4,6,8,10,13,14],[3,6,7,8,9,11,13],[4,5,7,8,9,10,12]]; G[2234]:=Group([(1,3,6)(2,4,5)(9,14,11)(10,12,13)]); # Design 2235: autom. group order 3, simple B[2235]:=[[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],[1,2,4,7,10,12,14],[1,2,4,9,11,13,14],[1,3,5,10,12,13,14],[1,3,7,8,11,13,14],[1,4,5,8,9,11,12],[1,4,6,9,10,12,13],[1,5,6,7,11,12,14],[1,5,6,8,10,11,13],[1,6,7,8,9,10,14],[2,3,5,8,9,10,14],[2,3,6,10,11,12,13],[2,4,6,8,11,13,14],[2,4,7,8,10,11,12],[2,5,6,7,9,12,13],[2,5,6,9,10,11,14],[2,5,7,8,12,13,14],[3,4,5,7,10,11,13],[3,4,5,9,11,12,14],[3,4,6,7,9,13,14],[3,4,6,8,10,12,14],[3,6,7,8,9,11,12],[4,5,7,8,9,10,13]]; G[2235]:=Group([(1,3,6)(2,4,5)(9,14,11)(10,13,12)]); # Design 2236: autom. group order 3, simple B[2236]:=[[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],[1,2,4,7,10,12,14],[1,2,4,10,11,12,13],[1,3,5,9,10,11,14],[1,3,7,8,10,13,14],[1,4,5,8,9,11,12],[1,4,6,9,11,13,14],[1,5,6,7,9,13,14],[1,5,6,8,10,12,14],[1,6,7,8,11,12,13],[2,3,5,8,11,13,14],[2,3,6,9,11,12,14],[2,4,6,8,9,10,14],[2,4,7,8,9,13,14],[2,5,6,7,10,11,13],[2,5,6,9,10,12,13],[2,5,7,8,11,12,14],[3,4,5,7,9,12,13],[3,4,5,10,12,13,14],[3,4,6,7,11,12,14],[3,4,6,8,10,11,13],[3,6,7,8,9,10,12],[4,5,7,8,9,10,11]]; G[2236]:=Group([(1,3,6)(2,4,5)(9,11,14)(10,12,13)]); # Design 2237: autom. group order 3, simple B[2237]:=[[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],[1,2,4,7,10,12,14],[1,2,4,10,11,13,14],[1,3,5,9,10,12,14],[1,3,7,8,11,13,14],[1,4,5,8,9,11,13],[1,4,6,9,12,13,14],[1,5,6,7,10,12,13],[1,5,6,8,11,12,14],[1,6,7,8,9,10,11],[2,3,5,8,10,13,14],[2,3,6,9,11,12,14],[2,4,6,8,10,11,12],[2,4,7,8,9,12,13],[2,5,6,7,9,13,14],[2,5,6,9,10,11,13],[2,5,7,8,11,12,14],[3,4,5,7,9,11,12],[3,4,5,10,11,12,13],[3,4,6,7,11,13,14],[3,4,6,8,9,10,14],[3,6,7,8,10,12,13],[4,5,7,8,9,10,14]]; G[2237]:=Group([(1,3,6)(2,4,5)(9,14,12)(10,11,13)]); # Design 2238: autom. group order 3, simple, residual B[2238]:=[[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],[1,2,4,7,12,13,14],[1,2,4,10,11,12,14],[1,3,5,9,12,13,14],[1,3,7,8,10,11,13],[1,4,5,8,10,11,13],[1,4,6,9,10,13,14],[1,5,6,7,11,12,14],[1,5,6,8,9,10,14],[1,6,7,8,9,11,12],[2,3,5,8,10,12,14],[2,3,6,9,11,13,14],[2,4,6,8,9,11,12],[2,4,7,8,9,10,14],[2,5,6,7,9,10,13],[2,5,6,10,11,12,13],[2,5,7,8,11,13,14],[3,4,5,7,9,11,14],[3,4,5,9,10,11,12],[3,4,6,7,10,12,13],[3,4,6,8,11,13,14],[3,6,7,8,10,12,14],[4,5,7,8,9,12,13]]; G[2238]:=Group([(1,3,6)(2,4,5)(9,13,14)(10,12,11)]); # Design 2239: autom. group order 3, simple B[2239]:=[[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],[1,2,4,9,10,11,14],[1,3,5,9,10,12,13],[1,3,7,8,10,11,14],[1,4,5,8,11,12,14],[1,4,6,10,11,12,13],[1,5,6,7,11,13,14],[1,5,6,8,9,10,12],[1,6,7,8,9,13,14],[2,3,5,8,9,11,13],[2,3,6,10,12,13,14],[2,4,6,8,9,10,14],[2,4,7,8,11,12,13],[2,5,6,7,10,11,12],[2,5,6,9,11,13,14],[2,5,7,8,10,12,14],[3,4,5,7,10,13,14],[3,4,5,9,11,12,14],[3,4,6,7,9,12,14],[3,4,6,8,10,11,13],[3,6,7,8,9,11,12],[4,5,7,8,9,10,13]]; G[2239]:=Group([(1,3,6)(2,4,5)(9,14,11)(10,12,13)]); # Design 2240: autom. group order 3, simple B[2240]:=[[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],[1,3,5,10,11,12,13],[1,3,7,8,9,11,14],[1,4,5,8,11,13,14],[1,4,6,9,10,11,13],[1,5,6,7,10,13,14],[1,5,6,8,9,11,12],[1,6,7,8,10,12,14],[2,3,5,8,9,10,13],[2,3,6,10,11,13,14],[2,4,6,8,10,11,12],[2,4,7,8,11,13,14],[2,5,6,7,9,11,14],[2,5,6,9,12,13,14],[2,5,7,8,10,11,12],[3,4,5,7,10,12,14],[3,4,5,9,11,12,14],[3,4,6,7,11,12,13],[3,4,6,8,9,10,14],[3,6,7,8,9,12,13],[4,5,7,8,9,10,13]]; G[2240]:=Group([(1,3,6)(2,4,5)(9,12,14)(10,11,13)]); # Design 2241: autom. group order 3, simple B[2241]:=[[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],[1,3,5,10,11,13,14],[1,3,7,8,11,12,14],[1,4,5,8,10,11,12],[1,4,6,9,10,11,13],[1,5,6,7,11,12,13],[1,5,6,8,9,10,14],[1,6,7,8,9,13,14],[2,3,5,8,9,10,13],[2,3,6,10,11,12,13],[2,4,6,8,11,13,14],[2,4,7,8,10,11,14],[2,5,6,7,10,12,14],[2,5,6,9,11,12,14],[2,5,7,8,9,11,13],[3,4,5,7,9,11,14],[3,4,5,9,12,13,14],[3,4,6,7,10,13,14],[3,4,6,8,9,11,12],[3,6,7,8,9,10,12],[4,5,7,8,10,12,13]]; G[2241]:=Group([(1,3,6)(2,4,5)(9,14,12)(10,13,11)]); # Design 2242: autom. group order 3, simple, residual B[2242]:=[[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],[1,2,4,7,9,13,14],[1,2,4,10,11,12,13],[1,3,5,8,11,13,14],[1,3,7,8,11,13,14],[1,4,5,9,10,13,14],[1,4,6,8,9,11,12],[1,5,6,7,10,12,14],[1,5,6,9,11,12,13],[1,6,7,8,10,12,14],[2,3,5,10,11,12,14],[2,3,6,9,12,13,14],[2,4,6,8,10,13,14],[2,4,7,8,11,12,14],[2,5,6,7,10,11,13],[2,5,6,8,9,11,14],[2,5,7,8,9,12,13],[3,4,5,7,9,12,14],[3,4,5,8,10,12,13],[3,4,6,7,11,12,13],[3,4,6,9,10,11,14],[3,6,7,8,9,10,13],[4,5,7,8,9,10,11]]; G[2242]:=Group([(2,12,13)(3,6,14)(4,10,11)(5,7,8)]); # Design 2243: autom. group order 3, simple, residual B[2243]:=[[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],[1,3,7,8,11,13,14],[1,4,5,8,9,12,14],[1,4,6,9,10,11,14],[1,5,6,7,10,12,13],[1,5,6,10,11,12,13],[1,6,7,8,9,10,14],[2,3,5,10,11,12,14],[2,3,6,9,12,13,14],[2,4,6,8,10,13,14],[2,4,7,8,10,11,13],[2,5,6,7,9,11,14],[2,5,6,8,9,11,13],[2,5,7,8,10,12,14],[3,4,5,7,9,10,13],[3,4,5,9,10,13,14],[3,4,6,7,11,12,14],[3,4,6,8,10,11,12],[3,6,7,8,9,12,13],[4,5,7,8,9,11,12]]; G[2243]:=Group([(1,3,13)(2,9,12)(4,10,6)(8,14,11)]); # Design 2244: autom. group order 3, simple, residual B[2244]:=[[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],[1,3,5,8,11,13,14],[1,3,7,8,9,13,14],[1,4,5,8,9,11,12],[1,4,6,9,10,11,13],[1,5,6,7,10,12,14],[1,5,6,9,10,12,14],[1,6,7,8,10,11,13],[2,3,5,10,11,12,13],[2,3,6,9,11,12,14],[2,4,6,8,10,11,14],[2,4,7,8,9,10,14],[2,5,6,7,9,11,13],[2,5,6,8,9,13,14],[2,5,7,8,10,12,13],[3,4,5,7,10,11,14],[3,4,5,9,10,13,14],[3,4,6,7,9,12,13],[3,4,6,8,10,12,13],[3,6,7,8,11,12,14],[4,5,7,8,9,11,12]]; G[2244]:=Group([(2,6,14)(3,10,13)(4,5,12)(8,9,11)]); # Design 2245: autom. group order 3, simple, residual B[2245]:=[[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],[1,2,4,7,12,13,14],[1,2,4,8,10,11,14],[1,3,5,9,10,11,14],[1,3,7,8,10,12,13],[1,4,5,10,11,12,13],[1,4,6,9,10,12,14],[1,5,6,7,9,12,14],[1,5,6,8,11,13,14],[1,6,7,8,9,11,13],[2,3,5,11,12,13,14],[2,3,6,9,10,13,14],[2,4,6,9,11,12,13],[2,4,7,8,9,11,14],[2,5,6,7,10,11,13],[2,5,6,8,9,10,12],[2,5,7,8,10,12,14],[3,4,5,7,9,11,12],[3,4,5,8,9,13,14],[3,4,6,7,10,13,14],[3,4,6,8,10,11,12],[3,6,7,8,11,12,14],[4,5,7,8,9,10,13]]; G[2245]:=Group([(1,3,6)(2,4,5)(9,10,14)(11,13,12)]); # Design 2246: autom. group order 3, simple, residual B[2246]:=[[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],[1,2,4,8,10,11,14],[1,3,5,9,10,12,14],[1,3,7,8,9,11,13],[1,4,5,10,11,12,13],[1,4,6,9,10,13,14],[1,5,6,7,9,12,14],[1,5,6,8,10,11,13],[1,6,7,8,11,12,14],[2,3,5,11,12,13,14],[2,3,6,9,10,11,14],[2,4,6,9,11,12,13],[2,4,7,8,10,12,14],[2,5,6,7,11,13,14],[2,5,6,8,9,10,12],[2,5,7,8,9,10,13],[3,4,5,7,10,11,12],[3,4,5,8,9,13,14],[3,4,6,7,10,13,14],[3,4,6,8,9,11,12],[3,6,7,8,10,12,13],[4,5,7,8,9,11,14]]; G[2246]:=Group([(1,3,6)(2,4,5)(9,10,14)(11,13,12)]); # Design 2247: autom. group order 3, simple, residual B[2247]:=[[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],[1,2,4,8,10,11,14],[1,3,5,9,10,12,14],[1,3,7,8,9,11,13],[1,4,5,10,11,12,13],[1,4,6,9,11,12,14],[1,5,6,7,11,13,14],[1,5,6,8,9,10,12],[1,6,7,8,10,13,14],[2,3,5,10,11,13,14],[2,3,6,9,12,13,14],[2,4,6,9,10,11,13],[2,4,7,8,10,12,14],[2,5,6,7,9,10,14],[2,5,6,8,11,12,13],[2,5,7,8,9,11,12],[3,4,5,7,11,12,14],[3,4,5,8,9,10,13],[3,4,6,7,10,12,13],[3,4,6,8,9,11,14],[3,6,7,8,10,11,12],[4,5,7,8,9,13,14]]; G[2247]:=Group([(1,3,6)(2,4,5)(9,12,14)(10,13,11)]); # Design 2248: autom. group order 3, simple B[2248]:=[[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],[1,2,4,8,10,11,14],[1,3,5,9,10,12,14],[1,3,7,8,9,11,13],[1,4,5,10,11,13,14],[1,4,6,9,12,13,14],[1,5,6,7,10,12,13],[1,5,6,8,9,11,14],[1,6,7,8,10,11,12],[2,3,5,10,11,12,13],[2,3,6,9,11,12,14],[2,4,6,9,10,11,13],[2,4,7,8,10,12,14],[2,5,6,7,11,12,14],[2,5,6,8,9,10,13],[2,5,7,8,9,13,14],[3,4,5,7,9,10,14],[3,4,5,8,11,12,13],[3,4,6,7,11,13,14],[3,4,6,8,9,10,12],[3,6,7,8,10,13,14],[4,5,7,8,9,11,12]]; G[2248]:=Group([(1,3,6)(2,4,5)(9,14,12)(10,11,13)]); # Design 2249: autom. group order 3, simple, residual B[2249]:=[[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],[1,2,4,8,10,11,14],[1,3,5,9,12,13,14],[1,3,7,8,10,11,12],[1,4,5,9,10,11,13],[1,4,6,9,10,12,14],[1,5,6,7,11,12,13],[1,5,6,8,9,10,14],[1,6,7,8,11,13,14],[2,3,5,10,11,13,14],[2,3,6,9,11,12,14],[2,4,6,10,11,12,13],[2,4,7,8,9,13,14],[2,5,6,7,10,12,14],[2,5,6,8,9,11,13],[2,5,7,8,9,10,12],[3,4,5,7,9,11,14],[3,4,5,8,10,12,13],[3,4,6,7,10,13,14],[3,4,6,8,9,11,12],[3,6,7,8,9,10,13],[4,5,7,8,11,12,14]]; G[2249]:=Group([(1,3,6)(2,4,5)(9,14,12)(10,13,11)]); # Design 2250: autom. group order 3, simple B[2250]:=[[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],[1,2,4,11,12,13,14],[1,3,5,8,9,13,14],[1,3,7,8,10,11,14],[1,4,5,7,9,11,13],[1,4,6,8,10,11,14],[1,5,6,7,10,12,13],[1,5,6,9,10,12,14],[1,6,7,8,11,12,13],[2,3,5,7,11,12,14],[2,3,6,8,11,12,13],[2,4,6,7,10,13,14],[2,4,7,8,9,10,13],[2,5,6,8,9,10,11],[2,5,6,9,11,13,14],[2,5,7,8,10,12,14],[3,4,5,8,10,12,13],[3,4,5,10,11,13,14],[3,4,6,7,9,12,14],[3,4,6,9,10,11,12],[3,6,7,8,9,13,14],[4,5,7,8,9,11,12]]; G[2250]:=Group([(1,3,6)(2,4,5)(9,12,10)(11,14,13)]); # Design 2251: autom. group order 3, simple B[2251]:=[[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],[1,3,5,8,9,11,14],[1,3,7,8,11,12,14],[1,4,5,7,10,13,14],[1,4,6,8,11,12,13],[1,5,6,7,9,12,13],[1,5,6,9,10,12,14],[1,6,7,8,10,11,13],[2,3,5,7,11,12,13],[2,3,6,8,10,13,14],[2,4,6,7,9,11,14],[2,4,7,8,9,12,13],[2,5,6,8,10,11,12],[2,5,6,9,11,13,14],[2,5,7,8,10,12,14],[3,4,5,8,9,10,13],[3,4,5,11,12,13,14],[3,4,6,7,10,12,14],[3,4,6,9,10,11,12],[3,6,7,8,9,13,14],[4,5,7,8,9,10,11]]; G[2251]:=Group([(1,3,6)(2,4,5)(9,10,12)(11,14,13)]); # Design 2252: autom. group order 3, simple B[2252]:=[[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],[1,3,5,8,9,11,14],[1,3,7,8,12,13,14],[1,4,5,7,11,12,13],[1,4,6,8,10,13,14],[1,5,6,7,10,12,14],[1,5,6,9,10,11,12],[1,6,7,8,9,11,13],[2,3,5,7,10,13,14],[2,3,6,8,11,12,13],[2,4,6,7,9,11,14],[2,4,7,8,10,11,12],[2,5,6,8,9,10,13],[2,5,6,11,12,13,14],[2,5,7,8,9,12,14],[3,4,5,8,10,11,12],[3,4,5,9,11,13,14],[3,4,6,7,9,12,13],[3,4,6,9,10,12,14],[3,6,7,8,10,11,14],[4,5,7,8,9,10,13]]; G[2252]:=Group([(1,3,6)(2,4,5)(9,12,10)(11,13,14)]); # Design 2253: autom. group order 3, simple B[2253]:=[[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],[1,3,5,8,11,12,13],[1,3,7,8,11,12,14],[1,4,5,7,9,11,14],[1,4,6,8,10,13,14],[1,5,6,7,9,12,13],[1,5,6,9,10,12,14],[1,6,7,8,10,11,13],[2,3,5,7,10,13,14],[2,3,6,8,9,11,14],[2,4,6,7,11,12,13],[2,4,7,8,9,12,13],[2,5,6,8,10,11,12],[2,5,6,9,11,13,14],[2,5,7,8,10,12,14],[3,4,5,8,9,10,13],[3,4,5,11,12,13,14],[3,4,6,7,10,12,14],[3,4,6,9,10,11,12],[3,6,7,8,9,13,14],[4,5,7,8,9,10,11]]; G[2253]:=Group([(1,3,6)(2,4,5)(9,10,12)(11,14,13)]); # Design 2254: autom. group order 3, simple B[2254]:=[[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],[1,3,5,8,10,13,14],[1,3,7,8,11,12,13],[1,4,5,7,9,13,14],[1,4,6,8,11,12,13],[1,5,6,7,10,12,14],[1,5,6,9,10,11,12],[1,6,7,8,9,11,14],[2,3,5,7,11,12,14],[2,3,6,8,9,11,14],[2,4,6,7,10,11,13],[2,4,7,8,10,12,14],[2,5,6,8,9,10,13],[2,5,6,11,12,13,14],[2,5,7,8,9,12,13],[3,4,5,8,10,11,12],[3,4,5,9,11,13,14],[3,4,6,7,9,12,13],[3,4,6,9,10,12,14],[3,6,7,8,10,13,14],[4,5,7,8,9,10,11]]; G[2254]:=Group([(1,3,6)(2,4,5)(9,12,10)(11,13,14)]); # Design 2255: autom. group order 3, simple B[2255]:=[[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],[1,3,5,8,11,12,14],[1,3,7,8,11,12,13],[1,4,5,7,10,11,14],[1,4,6,8,9,11,13],[1,5,6,7,10,12,13],[1,5,6,9,10,12,14],[1,6,7,8,9,13,14],[2,3,5,7,9,13,14],[2,3,6,8,10,13,14],[2,4,6,7,11,12,13],[2,4,7,8,10,12,14],[2,5,6,8,9,10,11],[2,5,6,11,12,13,14],[2,5,7,8,9,11,12],[3,4,5,8,10,12,13],[3,4,5,9,11,13,14],[3,4,6,7,9,12,14],[3,4,6,9,10,11,12],[3,6,7,8,10,11,14],[4,5,7,8,9,10,13]]; G[2255]:=Group([(1,3,6)(2,4,5)(9,12,10)(11,14,13)]); # Design 2256: autom. group order 3, simple, residual B[2256]:=[[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],[1,2,4,7,10,12,14],[1,3,5,6,12,13,14],[1,3,7,8,10,11,13],[1,4,5,8,10,11,12],[1,4,6,7,8,9,14],[1,5,7,9,10,13,14],[1,5,8,9,11,12,14],[1,6,7,9,11,12,13],[2,3,5,7,9,12,13],[2,3,7,8,9,11,14],[2,4,7,8,11,12,13],[2,4,9,10,12,13,14],[2,5,6,7,10,11,14],[2,5,6,8,9,10,12],[2,5,6,8,11,13,14],[3,4,5,7,11,12,14],[3,4,5,9,10,11,13],[3,4,6,8,12,13,14],[3,4,6,9,10,11,14],[3,6,7,8,9,10,12],[4,5,6,7,8,10,13]]; G[2256]:=Group([(1,6,10)(3,11,12)(4,5,14)(8,13,9)]); # Design 2257: autom. group order 3, simple, residual B[2257]:=[[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],[1,2,4,7,8,12,14],[1,3,5,6,12,13,14],[1,3,7,8,9,12,13],[1,4,5,7,9,10,13],[1,4,9,10,11,12,14],[1,5,6,8,9,11,14],[1,5,7,11,12,13,14],[1,6,7,8,9,10,11],[2,3,5,9,11,13,14],[2,3,7,9,10,12,14],[2,4,6,9,11,12,13],[2,4,7,8,11,13,14],[2,5,6,7,8,11,12],[2,5,6,7,9,10,14],[2,5,8,9,10,12,13],[3,4,5,7,10,11,12],[3,4,5,8,10,11,14],[3,4,6,7,9,11,13],[3,4,6,8,9,12,14],[3,6,7,8,10,13,14],[4,5,6,8,10,12,13]]; G[2257]:=Group([(1,4,10)(2,5,11)(6,7,12)(9,14,13)]); # Design 2258: autom. group order 3, simple B[2258]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,9,10],[1,2,3,7,10,11,12],[1,2,4,6,11,13,14],[1,2,4,10,11,12,13],[1,3,5,8,12,13,14],[1,3,6,9,11,12,14],[1,4,5,7,10,12,14],[1,4,7,8,9,13,14],[1,5,6,7,9,12,13],[1,5,6,8,10,11,13],[1,7,8,9,10,11,14],[2,3,5,7,10,13,14],[2,3,7,9,11,13,14],[2,4,6,7,8,12,14],[2,4,8,9,10,12,13],[2,5,6,8,11,12,14],[2,5,6,9,10,13,14],[2,5,7,8,9,11,12],[3,4,5,8,10,11,14],[3,4,5,9,11,12,13],[3,4,6,7,8,11,13],[3,4,6,9,10,12,14],[3,6,7,8,10,12,13],[4,5,6,7,9,10,11]]; G[2258]:=Group([(1,12,13)(3,8,14)(4,11,10)(6,7,9)]); # Design 2259: autom. group order 3, simple, residual B[2259]:=[[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],[1,2,4,7,9,10,12],[1,3,5,9,11,12,13],[1,3,6,7,9,10,14],[1,4,5,7,11,12,13],[1,4,8,10,11,12,14],[1,5,6,7,8,13,14],[1,5,6,8,9,12,14],[1,7,8,9,10,11,13],[2,3,5,8,11,12,14],[2,3,7,8,9,11,13],[2,4,6,9,11,13,14],[2,4,7,8,9,12,14],[2,5,6,7,8,10,11],[2,5,6,9,10,12,13],[2,5,7,10,12,13,14],[3,4,5,7,10,11,14],[3,4,5,9,10,13,14],[3,4,6,7,8,12,13],[3,4,6,8,10,12,13],[3,6,7,9,11,12,14],[4,5,6,8,9,10,11]]; G[2259]:=Group([(2,11,14)(3,12,8)(4,13,6)]); # Design 2260: autom. group order 3, simple B[2260]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,12,13,14],[1,2,4,6,9,12,13],[1,2,4,10,11,12,14],[1,3,5,8,10,12,14],[1,3,6,8,9,10,11],[1,4,5,9,10,11,13],[1,4,7,8,11,13,14],[1,5,6,7,8,12,13],[1,5,7,9,11,12,14],[1,6,7,9,10,13,14],[2,3,5,9,11,13,14],[2,3,7,10,11,12,13],[2,4,6,8,10,13,14],[2,4,7,8,9,11,12],[2,5,6,7,8,11,14],[2,5,6,9,10,12,14],[2,5,7,8,9,10,13],[3,4,5,6,11,13,14],[3,4,5,7,10,12,13],[3,4,6,7,9,12,14],[3,4,7,8,9,10,14],[3,6,8,9,11,12,13],[4,5,6,8,10,11,12]]; G[2260]:=Group([(1,7,11)(2,10,6)(4,13,8)(5,12,9)]); # Design 2261: autom. group order 3, simple B[2261]:=[[1,2,3,4,5,6,7],[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],[1,2,4,7,10,11,14],[1,3,5,9,10,12,14],[1,3,6,9,11,13,14],[1,4,5,8,11,13,14],[1,4,8,9,10,12,14],[1,5,6,7,12,13,14],[1,5,7,8,10,11,13],[1,6,7,8,9,11,12],[2,3,5,8,11,12,14],[2,3,7,8,12,13,14],[2,4,6,10,11,12,14],[2,4,7,8,9,13,14],[2,5,6,7,9,11,14],[2,5,6,8,9,10,13],[2,5,9,10,11,12,13],[3,4,5,6,10,13,14],[3,4,5,7,9,11,12],[3,4,6,8,11,12,13],[3,4,7,9,10,11,13],[3,6,7,8,9,10,14],[4,5,6,7,8,10,12]]; G[2261]:=Group([(1,9,11)(3,13,14)(4,5,10)(7,8,12)]); # Design 2262: autom. group order 3, simple B[2262]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,6,9,11,12],[1,2,4,8,10,13,14],[1,3,5,9,11,13,14],[1,3,6,7,11,13,14],[1,4,5,7,10,11,14],[1,4,9,10,11,12,13],[1,5,6,8,10,12,14],[1,5,7,8,9,12,13],[1,6,7,8,9,12,14],[2,3,5,8,11,12,14],[2,3,9,10,12,13,14],[2,4,6,7,9,13,14],[2,4,7,8,11,12,14],[2,5,6,7,10,12,13],[2,5,6,8,9,11,13],[2,5,7,9,10,11,14],[3,4,5,6,12,13,14],[3,4,5,7,9,10,12],[3,4,6,8,9,10,14],[3,4,7,8,11,12,13],[3,6,7,8,9,10,11],[4,5,6,8,10,11,13]]; G[2262]:=Group([(1,8,11)(2,6,14)(3,10,5)(4,9,7)]); # Design 2263: autom. group order 3, simple B[2263]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,4,6,8,10,11],[1,2,4,9,12,13,14],[1,3,5,9,10,12,13],[1,3,6,7,10,13,14],[1,4,5,7,10,12,14],[1,4,8,10,11,12,13],[1,5,6,9,11,12,14],[1,5,7,8,9,11,13],[1,6,7,8,9,11,14],[2,3,5,9,10,11,14],[2,3,8,11,12,13,14],[2,4,6,7,9,12,13],[2,4,7,9,10,11,14],[2,5,6,7,11,12,13],[2,5,6,8,9,10,13],[2,5,7,8,10,12,14],[3,4,5,6,11,13,14],[3,4,5,7,8,11,12],[3,4,6,8,9,12,14],[3,4,7,9,10,11,13],[3,6,7,8,9,10,12],[4,5,6,8,10,13,14]]; G[2263]:=Group([(1,9,10)(2,6,14)(3,12,5)(4,8,7)]); # Design 2264: autom. group order 3, simple B[2264]:=[[1,2,3,4,5,6,7],[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],[1,3,5,9,11,12,13],[1,3,6,8,9,13,14],[1,4,5,7,10,12,13],[1,4,7,8,11,13,14],[1,5,6,8,10,11,12],[1,5,7,9,10,11,14],[1,6,7,8,9,12,14],[2,3,5,7,8,12,14],[2,3,7,8,9,10,11],[2,4,6,7,11,12,14],[2,4,8,9,10,12,13],[2,5,6,7,9,11,13],[2,5,6,9,12,13,14],[2,5,8,10,11,13,14],[3,4,5,6,10,13,14],[3,4,5,8,11,12,14],[3,4,6,9,10,11,14],[3,4,7,9,11,12,13],[3,6,7,8,10,12,13],[4,5,6,7,8,9,10]]; G[2264]:=Group([(1,3,9)(2,11,14)(4,12,6)(5,13,8)]); # Design 2265: autom. group order 3, simple, residual B[2265]:=[[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],[1,2,4,9,11,12,14],[1,3,5,8,11,12,13],[1,3,6,7,9,12,14],[1,4,5,10,11,13,14],[1,4,7,9,10,12,13],[1,5,6,7,8,10,14],[1,5,7,8,9,11,14],[1,6,8,9,10,12,13],[2,3,5,9,12,13,14],[2,3,7,8,9,10,11],[2,4,6,8,9,10,14],[2,4,7,8,12,13,14],[2,5,6,7,8,12,13],[2,5,6,9,10,11,13],[2,5,7,10,11,12,14],[3,4,5,6,10,12,14],[3,4,5,7,9,10,13],[3,4,6,8,11,13,14],[3,4,7,8,10,11,12],[3,6,7,9,11,13,14],[4,5,6,8,9,11,12]]; G[2265]:=Group([(1,3,13)(2,14,10)(4,6,9)(5,11,12)]); # Design 2266: autom. group order 3, simple, residual B[2266]:=[[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],[1,2,4,6,9,11,12],[1,2,4,7,10,12,13],[1,3,5,7,8,11,13],[1,3,6,9,12,13,14],[1,4,5,10,11,13,14],[1,4,7,8,9,10,14],[1,5,6,7,9,10,14],[1,5,8,9,11,12,14],[1,6,7,8,11,12,13],[2,3,5,8,10,12,14],[2,3,7,9,11,13,14],[2,4,6,8,9,13,14],[2,4,7,8,11,12,14],[2,5,6,7,8,13,14],[2,5,6,9,10,11,13],[2,5,7,9,10,11,12],[3,4,5,6,11,12,14],[3,4,5,7,9,12,13],[3,4,6,7,10,11,14],[3,4,8,9,10,11,13],[3,6,7,8,9,10,12],[4,5,6,8,10,12,13]]; G[2266]:=Group([(1,2,14)(3,13,10)(4,8,9)(5,6,7)]); # Design 2267: autom. group order 3, simple B[2267]:=[[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],[1,2,4,7,9,10,14],[1,3,5,7,9,12,13],[1,3,6,9,12,13,14],[1,4,5,10,12,13,14],[1,4,7,8,10,11,12],[1,5,6,8,11,12,14],[1,5,7,8,9,11,14],[1,6,7,9,10,11,13],[2,3,5,7,11,12,14],[2,3,8,9,10,12,14],[2,4,6,7,9,11,12],[2,4,9,11,12,13,14],[2,5,6,7,10,13,14],[2,5,6,8,9,11,13],[2,5,7,8,10,12,13],[3,4,5,6,10,11,14],[3,4,5,9,10,11,13],[3,4,6,7,8,12,13],[3,4,7,8,11,13,14],[3,6,7,8,9,10,14],[4,5,6,8,9,10,12]]; G[2267]:=Group([(1,4,10)(2,5,11)(7,14,12)(8,9,13)]); # Design 2268: autom. group order 3, simple B[2268]:=[[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],[1,2,4,7,9,10,12],[1,3,5,7,12,13,14],[1,3,6,8,9,13,14],[1,4,5,9,10,13,14],[1,4,8,10,11,12,14],[1,5,6,7,8,11,12],[1,5,7,8,9,11,13],[1,6,7,9,10,11,14],[2,3,5,9,11,12,14],[2,3,7,8,9,10,14],[2,4,6,7,9,11,13],[2,4,7,8,11,13,14],[2,5,6,8,10,13,14],[2,5,6,9,11,12,14],[2,5,7,8,10,12,13],[3,4,5,6,10,11,13],[3,4,5,7,10,11,14],[3,4,6,7,8,12,14],[3,4,8,9,11,12,13],[3,6,7,9,10,12,13],[4,5,6,8,9,10,12]]; G[2268]:=Group([(1,4,10)(2,5,11)(7,13,8)(9,14,12)]); # Design 2269: autom. group order 3, simple B[2269]:=[[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],[1,3,5,9,12,13,14],[1,3,6,8,12,13,14],[1,4,5,7,8,10,14],[1,4,9,10,11,12,14],[1,5,6,7,9,11,12],[1,5,7,8,11,13,14],[1,6,7,8,9,10,11],[2,3,5,7,11,12,14],[2,3,7,8,9,10,14],[2,4,6,7,11,13,14],[2,4,8,9,11,12,14],[2,5,6,8,9,11,13],[2,5,6,8,10,12,14],[2,5,7,9,10,12,13],[3,4,5,6,10,11,14],[3,4,5,9,10,11,13],[3,4,6,7,8,9,12],[3,4,7,8,11,12,13],[3,6,7,9,10,13,14],[4,5,6,8,10,12,13]]; G[2269]:=Group([(1,4,10)(2,5,11)(7,14,12)(8,9,13)]); # Design 2270: autom. group order 3, simple, residual B[2270]:=[[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],[1,2,4,7,9,10,12],[1,3,5,9,12,13,14],[1,3,6,9,12,13,14],[1,4,5,7,10,13,14],[1,4,8,10,11,12,14],[1,5,6,7,8,11,14],[1,5,7,8,9,11,12],[1,6,7,9,10,11,13],[2,3,5,7,11,12,14],[2,3,7,8,9,10,14],[2,4,6,9,11,12,14],[2,4,7,9,11,13,14],[2,5,6,7,10,12,13],[2,5,6,8,9,11,13],[2,5,8,10,12,13,14],[3,4,5,6,10,11,14],[3,4,5,9,10,11,13],[3,4,6,7,8,12,13],[3,4,7,8,11,12,13],[3,6,7,8,9,10,14],[4,5,6,8,9,10,12]]; G[2270]:=Group([(1,4,10)(2,5,11)(7,14,12)(8,9,13)]); # Design 2271: autom. group order 3, simple, residual B[2271]:=[[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],[1,2,4,6,8,11,12],[1,2,4,9,10,13,14],[1,3,5,7,9,11,13],[1,3,6,7,12,13,14],[1,4,5,7,10,12,14],[1,4,7,8,9,12,13],[1,5,6,9,10,11,14],[1,5,8,10,11,12,13],[1,6,7,8,9,11,14],[2,3,5,9,11,12,14],[2,3,7,8,11,13,14],[2,4,6,7,10,11,13],[2,4,7,9,11,12,14],[2,5,6,7,9,10,13],[2,5,6,8,9,12,13],[2,5,7,8,10,12,14],[3,4,5,6,12,13,14],[3,4,5,7,8,10,11],[3,4,6,8,9,10,14],[3,4,9,10,11,12,13],[3,6,7,8,9,10,12],[4,5,6,8,11,13,14]]; G[2271]:=Group([(1,9,12)(2,6,14)(3,10,5)(4,8,7)]); # Design 2272: autom. group order 3, simple, residual B[2272]:=[[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],[1,3,5,7,9,12,14],[1,3,6,7,8,13,14],[1,4,5,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,8,9,11,12],[1,5,7,8,11,12,13],[1,6,7,9,10,11,14],[2,3,5,9,11,13,14],[2,3,7,8,9,10,13],[2,4,6,7,8,11,14],[2,4,7,8,9,11,12],[2,5,6,7,10,12,13],[2,5,6,9,11,13,14],[2,5,7,8,10,12,14],[3,4,5,6,10,11,12],[3,4,5,7,10,11,14],[3,4,6,7,9,12,13],[3,4,8,11,12,13,14],[3,6,8,9,10,12,14],[4,5,6,8,9,10,13]]; G[2272]:=Group([(1,4,10)(2,5,11)(7,12,8)(9,14,13)]); # Design 2273: autom. group order 3, simple, residual B[2273]:=[[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],[1,2,4,10,12,13,14],[1,3,5,8,9,12,14],[1,3,6,7,9,12,13],[1,4,5,7,8,10,12],[1,4,7,9,10,11,14],[1,5,6,11,12,13,14],[1,5,7,8,11,13,14],[1,6,7,8,9,10,11],[2,3,5,7,11,12,14],[2,3,7,8,10,13,14],[2,4,6,7,8,11,12],[2,4,8,9,11,12,14],[2,5,6,7,9,10,14],[2,5,6,8,9,11,13],[2,5,7,9,10,12,13],[3,4,5,6,10,11,14],[3,4,5,9,10,11,13],[3,4,6,7,8,13,14],[3,4,7,9,11,12,13],[3,6,8,9,10,12,14],[4,5,6,8,10,12,13]]; G[2273]:=Group([(1,4,10)(2,5,11)(7,14,12)(8,9,13)]); # Design 2274: autom. group order 3, simple, residual B[2274]:=[[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],[1,3,5,8,11,12,13],[1,3,7,9,10,12,14],[1,4,5,7,10,11,12],[1,4,6,8,9,11,12],[1,5,6,7,8,9,14],[1,5,9,10,11,13,14],[1,6,7,8,12,13,14],[2,3,5,9,11,12,14],[2,3,6,7,9,12,13],[2,4,7,8,11,12,14],[2,4,8,9,10,12,14],[2,5,6,7,10,11,14],[2,5,6,8,10,12,13],[2,5,7,8,9,11,13],[3,4,5,6,8,10,14],[3,4,5,7,12,13,14],[3,4,6,9,11,13,14],[3,4,7,8,10,11,13],[3,6,7,8,9,10,11],[4,5,6,9,10,12,13]]; G[2274]:=Group([(1,11,12)(2,7,13)(3,10,5)(4,8,6)]); # Design 2275: autom. group order 3, simple, residual B[2275]:=[[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],[1,2,4,9,10,11,14],[1,3,5,7,10,11,12],[1,3,8,11,12,13,14],[1,4,5,7,8,13,14],[1,4,6,7,11,12,13],[1,5,6,7,9,10,14],[1,5,8,9,10,11,13],[1,6,7,8,9,12,14],[2,3,5,7,9,12,13],[2,3,6,7,8,11,14],[2,4,7,8,9,11,13],[2,4,7,8,10,12,14],[2,5,6,8,10,12,13],[2,5,6,9,11,12,14],[2,5,7,10,11,13,14],[3,4,5,6,11,13,14],[3,4,5,8,10,12,14],[3,4,6,9,10,13,14],[3,4,7,9,10,11,12],[3,6,7,8,9,10,13],[4,5,6,8,9,11,12]]; G[2275]:=Group([(1,4,14)(2,10,9)(3,12,6)(5,8,7)]); # Design 2276: autom. group order 3, simple, residual B[2276]:=[[1,2,3,4,5,6,7],[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],[1,2,4,9,10,11,14],[1,3,5,9,11,12,13],[1,3,8,9,11,12,14],[1,4,5,7,8,12,14],[1,4,7,9,10,11,13],[1,5,6,7,9,10,14],[1,5,6,8,10,12,13],[1,6,7,8,11,13,14],[2,3,5,6,11,13,14],[2,3,7,8,9,10,13],[2,4,6,8,9,12,14],[2,4,7,8,11,12,13],[2,5,6,7,9,11,12],[2,5,7,8,10,11,14],[2,5,9,10,12,13,14],[3,4,5,7,10,11,12],[3,4,5,8,10,13,14],[3,4,6,7,9,13,14],[3,4,6,10,11,12,14],[3,6,7,8,9,10,12],[4,5,6,8,9,11,13]]; G[2276]:=Group([(1,3,10)(2,8,6)(4,9,12)(5,7,13)]); # Design 2277: autom. group order 3, simple, residual B[2277]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,6,10,12,14],[1,2,4,8,11,13,14],[1,3,5,7,9,12,14],[1,3,8,9,10,13,14],[1,4,5,8,9,10,11],[1,4,7,9,10,12,13],[1,5,6,7,8,12,13],[1,5,6,8,11,12,14],[1,6,7,9,11,13,14],[2,3,5,9,11,12,13],[2,3,6,7,8,9,14],[2,4,6,8,9,12,13],[2,4,7,9,11,12,14],[2,5,6,9,10,13,14],[2,5,7,8,10,11,14],[2,5,7,8,10,12,13],[3,4,5,6,10,13,14],[3,4,5,11,12,13,14],[3,4,6,7,8,11,13],[3,4,7,8,10,12,14],[3,6,8,9,10,11,12],[4,5,6,7,9,10,11]]; G[2277]:=Group([(1,3,12)(2,11,6)(4,13,8)(7,9,14)]); # Design 2278: autom. group order 3, simple, residual B[2278]:=[[1,2,3,4,5,6,7],[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],[1,2,4,9,10,12,14],[1,3,5,8,10,12,14],[1,3,9,10,11,13,14],[1,4,5,7,9,11,12],[1,4,7,8,11,12,13],[1,5,6,7,11,13,14],[1,5,6,8,9,10,13],[1,6,7,8,9,12,14],[2,3,5,8,11,12,13],[2,3,6,7,9,12,13],[2,4,6,7,8,10,14],[2,4,8,9,11,13,14],[2,5,6,9,11,12,14],[2,5,7,8,9,10,11],[2,5,7,10,12,13,14],[3,4,5,6,9,13,14],[3,4,5,7,10,11,14],[3,4,6,8,11,12,14],[3,4,7,9,10,12,13],[3,6,7,8,9,10,11],[4,5,6,8,10,12,13]]; G[2278]:=Group([(1,7,10)(2,12,8)(3,13,5)(4,9,6)]); # Design 2279: autom. group order 3, simple, residual B[2279]:=[[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],[1,2,4,9,10,12,13],[1,3,5,10,11,12,14],[1,3,7,8,9,13,14],[1,4,5,7,8,11,12],[1,4,7,9,10,12,14],[1,5,6,7,12,13,14],[1,5,6,8,9,11,13],[1,6,7,8,9,10,11],[2,3,5,7,9,12,13],[2,3,6,7,9,11,14],[2,4,6,7,8,12,14],[2,4,7,8,10,11,13],[2,5,6,8,9,10,12],[2,5,7,9,10,11,14],[2,5,8,11,12,13,14],[3,4,5,6,8,10,14],[3,4,5,7,10,11,13],[3,4,6,9,11,12,13],[3,4,8,9,11,12,14],[3,6,7,8,10,12,13],[4,5,6,9,10,13,14]]; G[2279]:=Group([(1,4,11)(2,13,6)(3,10,9)(5,7,8)]); # Design 2280: autom. group order 3, simple, residual B[2280]:=[[1,2,3,4,5,6,7],[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],[1,3,6,9,11,12,14],[1,4,5,9,11,12,13],[1,4,6,7,11,13,14],[1,5,6,7,8,9,10],[1,5,7,8,11,12,14],[1,7,8,9,10,12,13],[2,3,5,8,11,12,13],[2,3,7,8,9,12,14],[2,4,6,7,8,9,11],[2,4,6,8,12,13,14],[2,5,6,7,10,12,13],[2,5,6,9,10,11,14],[2,5,7,9,11,13,14],[3,4,5,7,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,9,12,13],[3,4,7,8,10,11,14],[3,6,8,9,10,11,13],[4,5,6,8,10,12,14]]; G[2280]:=Group([(1,4,11)(2,7,12)(5,10,6)(8,14,9)]); # Design 2281: autom. group order 3, simple, residual B[2281]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,9,10,11,14],[1,2,4,10,12,13,14],[1,3,5,6,8,13,14],[1,3,6,9,11,12,14],[1,4,5,8,11,12,13],[1,4,6,7,9,12,13],[1,5,6,7,9,10,14],[1,5,7,8,11,12,14],[1,7,8,9,10,11,13],[2,3,5,9,11,12,13],[2,3,7,8,9,11,14],[2,4,6,7,8,9,12],[2,4,6,8,11,13,14],[2,5,6,7,10,11,13],[2,5,6,8,10,12,14],[2,5,7,9,12,13,14],[3,4,5,7,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,11,13,14],[3,4,7,8,10,12,14],[3,6,8,9,10,12,13],[4,5,6,8,9,10,11]]; G[2281]:=Group([(1,4,12)(2,7,11)(5,10,6)(8,14,9)]); # Design 2282: autom. group order 3, simple B[2282]:=[[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],[1,3,5,6,7,13,14],[1,3,6,8,9,13,14],[1,4,5,9,10,11,14],[1,4,6,7,8,11,12],[1,5,7,8,9,11,12],[1,5,7,10,12,13,14],[1,6,8,9,10,12,14],[2,3,5,8,10,12,14],[2,3,7,9,11,12,14],[2,4,6,7,9,10,14],[2,4,6,8,12,13,14],[2,5,6,7,8,11,14],[2,5,6,9,11,12,13],[2,5,7,8,9,10,13],[3,4,5,6,9,10,12],[3,4,5,11,12,13,14],[3,4,7,8,9,12,13],[3,4,7,8,10,11,14],[3,6,7,9,10,11,13],[4,5,6,8,10,11,13]]; G[2282]:=Group([(2,9,12)(3,14,7)(4,8,10)(5,6,13)]); # Design 2283: autom. group order 3, simple B[2283]:=[[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],[1,3,5,6,11,12,14],[1,3,7,9,10,13,14],[1,4,5,7,8,12,13],[1,4,6,9,10,12,13],[1,5,6,8,12,13,14],[1,5,7,8,9,10,11],[1,6,7,8,9,11,14],[2,3,5,7,9,12,14],[2,3,8,9,12,13,14],[2,4,6,7,8,10,14],[2,4,6,8,9,11,12],[2,5,6,7,9,11,13],[2,5,6,8,10,13,14],[2,5,7,10,11,12,13],[3,4,5,6,9,10,13],[3,4,5,8,10,11,14],[3,4,6,7,11,13,14],[3,4,7,8,11,12,13],[3,6,7,8,9,10,12],[4,5,9,10,11,12,14]]; G[2283]:=Group([(1,13,14)(2,11,4)(3,7,10)(6,12,8)]); # Design 2284: autom. group order 3, simple, residual B[2284]:=[[1,2,3,4,5,6,7],[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],[1,2,4,9,11,12,13],[1,3,5,8,11,12,13],[1,3,6,7,9,10,11],[1,4,5,6,10,12,14],[1,4,7,9,11,12,14],[1,5,6,8,9,11,14],[1,5,7,8,10,12,13],[1,6,7,8,9,13,14],[2,3,5,6,9,13,14],[2,3,7,8,11,12,14],[2,4,6,7,8,11,13],[2,4,6,8,9,10,12],[2,5,6,11,12,13,14],[2,5,7,8,9,10,11],[2,5,7,9,10,12,14],[3,4,5,7,9,12,13],[3,4,5,8,10,11,14],[3,4,6,7,8,12,14],[3,4,9,10,11,13,14],[3,6,8,9,10,12,13],[4,5,6,7,10,11,13]]; G[2284]:=Group([(2,8,11)(3,13,9)(4,5,12)(6,10,14)]); # Design 2285: autom. group order 3, simple, residual B[2285]:=[[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],[1,2,4,6,8,10,14],[1,3,5,7,10,13,14],[1,3,6,9,12,13,14],[1,4,5,7,9,11,14],[1,4,7,8,11,12,13],[1,5,7,8,9,10,11],[1,6,7,8,10,12,13],[1,6,9,10,11,12,14],[2,3,7,8,11,12,14],[2,3,7,9,10,11,13],[2,4,6,7,10,11,12],[2,4,7,9,12,13,14],[2,5,6,7,10,13,14],[2,5,6,8,9,11,13],[2,5,8,9,10,12,14],[3,4,5,8,10,12,13],[3,4,5,10,11,12,14],[3,4,6,7,8,9,14],[3,4,6,9,10,11,13],[3,5,6,7,8,9,12],[4,5,6,8,11,13,14]]; G[2285]:=Group([(1,3,13)(2,10,12)(5,9,8)(6,11,7)]); # Design 2286: autom. group order 3, simple, residual B[2286]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,7,11],[1,2,3,8,9,10,12],[1,2,4,5,8,13,14],[1,2,4,6,12,13,14],[1,3,5,9,11,12,13],[1,3,7,10,11,13,14],[1,4,5,10,11,12,14],[1,4,7,8,10,11,13],[1,5,6,9,10,12,13],[1,6,7,8,9,11,14],[1,6,7,8,9,12,14],[2,3,6,10,11,12,14],[2,3,7,8,12,13,14],[2,4,6,9,10,11,14],[2,4,7,9,11,12,13],[2,5,6,8,9,11,13],[2,5,7,8,10,11,12],[2,5,7,9,10,13,14],[3,4,5,7,9,12,14],[3,4,5,8,9,11,14],[3,4,6,7,9,10,13],[3,4,6,8,11,12,13],[3,5,6,8,10,13,14],[4,5,6,7,8,10,12]]; G[2286]:=Group([(2,7,9)(3,6,8)(4,11,12)(5,14,10)]); # Design 2287: autom. group order 3, simple, residual B[2287]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,11,12],[1,2,3,7,8,9,11],[1,2,4,5,8,13,14],[1,2,4,10,11,12,13],[1,3,5,6,9,13,14],[1,3,7,10,12,13,14],[1,4,5,9,10,12,14],[1,4,6,7,8,12,14],[1,5,7,9,11,12,13],[1,6,7,8,10,11,14],[1,6,8,9,10,11,13],[2,3,6,9,10,13,14],[2,3,7,8,12,13,14],[2,4,6,7,9,10,12],[2,4,7,9,11,13,14],[2,5,6,7,10,11,14],[2,5,6,8,10,12,13],[2,5,8,9,11,12,14],[3,4,5,7,10,11,13],[3,4,5,8,10,11,14],[3,4,6,8,11,12,13],[3,4,6,9,11,12,14],[3,5,7,8,9,10,12],[4,5,6,7,8,9,13]]; G[2287]:=Group([(1,11,14)(2,4,13)(5,12,9)(7,8,10)]); # Design 2288: autom. group order 3, simple, residual B[2288]:=[[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],[1,3,7,8,9,12,14],[1,4,5,9,10,11,12],[1,4,6,7,9,12,13],[1,5,9,10,11,13,14],[1,6,7,8,10,11,13],[1,6,7,8,11,12,14],[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],[3,4,5,7,8,11,14],[3,4,5,8,11,12,13],[3,4,6,7,9,10,11],[3,4,6,8,10,13,14],[3,5,7,9,10,12,14],[4,5,6,8,9,12,13]]; G[2288]:=Group([(1,5,8)(3,6,9)(4,7,10)(12,14,13)]); # Design 2289: autom. group order 3, simple, residual B[2289]:=[[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],[1,3,7,8,9,12,14],[1,4,5,9,10,11,12],[1,4,6,7,9,12,13],[1,5,8,11,12,13,14],[1,6,7,8,10,11,13],[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],[3,4,5,7,8,11,14],[3,4,5,9,10,11,13],[3,4,6,7,8,11,12],[3,4,6,8,10,13,14],[3,5,7,9,10,12,14],[4,5,6,8,9,12,13]]; G[2289]:=Group([(1,5,8)(3,6,9)(4,7,10)(12,14,13)]); # Design 2290: autom. group order 3, simple, residual B[2290]:=[[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],[1,3,5,7,9,10,14],[1,3,6,10,11,13,14],[1,4,5,6,9,10,12],[1,4,7,8,10,11,14],[1,5,8,9,11,12,13],[1,6,7,8,10,11,12],[1,6,7,9,12,13,14],[2,3,6,8,10,12,13],[2,3,9,10,11,12,14],[2,4,6,7,9,12,14],[2,4,6,7,10,11,13],[2,5,6,8,9,11,14],[2,5,7,8,10,12,14],[2,5,7,9,10,11,13],[3,4,5,7,8,11,12],[3,4,5,10,12,13,14],[3,4,6,8,9,11,14],[3,4,7,9,11,12,13],[3,5,6,7,8,13,14],[4,5,6,8,9,10,13]]; G[2290]:=Group([(1,9,11)(2,6,7)(3,14,10)(5,12,13)]); # Design 2291: autom. group order 3, simple, residual B[2291]:=[[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],[1,3,5,7,10,11,14],[1,3,6,8,10,13,14],[1,4,5,6,9,12,13],[1,4,7,8,9,11,12],[1,5,9,10,11,12,13],[1,6,7,8,11,13,14],[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],[3,4,5,9,10,13,14],[3,4,6,7,8,12,13],[3,4,6,7,9,10,11],[3,5,7,8,9,12,14],[4,5,6,8,10,11,13]]; G[2291]:=Group([(1,5,8)(3,6,9)(4,7,10)(12,14,13)]); # Design 2292: autom. group order 3, simple, residual B[2292]:=[[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],[1,3,5,7,10,11,14],[1,3,6,8,10,13,14],[1,4,5,6,9,12,13],[1,4,7,8,9,11,12],[1,5,8,11,12,13,14],[1,6,7,9,10,11,13],[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],[3,4,5,9,10,11,12],[3,4,5,9,10,13,14],[3,4,6,7,8,11,14],[3,4,6,7,8,12,13],[3,5,7,8,9,12,14],[4,5,6,8,10,11,13]]; G[2292]:=Group([(1,5,8)(3,6,9)(4,7,10)(12,14,13)]); # Design 2293: autom. group order 3, simple B[2293]:=[[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],[1,2,4,5,8,12,13],[1,2,4,9,11,12,14],[1,3,5,8,10,13,14],[1,3,6,9,10,12,13],[1,4,5,7,9,10,14],[1,4,6,10,11,13,14],[1,5,6,7,8,9,11],[1,6,7,8,12,13,14],[1,7,8,9,10,11,12],[2,3,6,7,9,10,13],[2,3,8,10,11,12,14],[2,4,6,7,8,10,12],[2,4,6,8,9,13,14],[2,5,6,9,10,11,14],[2,5,7,8,10,11,13],[2,5,7,9,12,13,14],[3,4,5,7,10,12,14],[3,4,5,8,9,11,13],[3,4,6,7,8,11,14],[3,4,7,9,11,12,13],[3,5,6,8,9,12,14],[4,5,6,10,11,12,13]]; G[2293]:=Group([(1,5,7)(2,14,8)(3,10,11)(4,9,6)]); # Design 2294: autom. group order 3, simple B[2294]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,8,11],[1,2,3,7,9,11,12],[1,2,4,5,12,13,14],[1,2,4,8,10,12,13],[1,3,5,8,9,13,14],[1,3,6,11,12,13,14],[1,4,5,7,10,11,14],[1,4,6,9,11,13,14],[1,5,6,7,9,10,12],[1,6,7,8,9,10,14],[1,7,8,10,11,12,13],[2,3,6,7,10,13,14],[2,3,9,10,11,12,14],[2,4,6,7,9,12,13],[2,4,6,8,10,11,14],[2,5,6,9,10,11,13],[2,5,7,8,9,13,14],[2,5,7,8,11,12,14],[3,4,5,7,10,11,13],[3,4,5,9,10,12,14],[3,4,6,7,8,12,14],[3,4,7,8,9,11,13],[3,5,6,8,10,12,13],[4,5,6,8,9,11,12]]; G[2294]:=Group([(2,10,13)(3,7,14)(4,8,12)(5,9,11)]); # Design 2295: autom. group order 3, simple, residual B[2295]:=[[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],[1,2,4,5,8,13,14],[1,2,4,7,11,12,13],[1,3,5,9,12,13,14],[1,3,6,7,10,13,14],[1,4,5,7,10,12,14],[1,4,6,8,9,12,14],[1,5,6,10,11,12,13],[1,6,7,8,9,11,14],[1,7,8,9,10,11,13],[2,3,6,9,12,13,14],[2,3,7,8,10,13,14],[2,4,6,7,9,10,12],[2,4,6,10,11,13,14],[2,5,6,7,9,11,14],[2,5,7,8,9,12,13],[2,5,8,10,11,12,14],[3,4,5,7,9,11,13],[3,4,5,9,10,11,14],[3,4,6,8,11,12,13],[3,4,7,8,11,12,14],[3,5,6,7,8,10,12],[4,5,6,8,9,10,13]]; G[2295]:=Group([(1,11,14)(2,4,13)(5,12,10)(6,8,7)]); # Design 2296: autom. group order 3, simple B[2296]:=[[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],[1,2,4,5,9,10,13],[1,2,4,8,11,12,14],[1,3,5,9,11,12,13],[1,3,6,9,10,11,14],[1,4,5,7,10,12,14],[1,4,6,7,8,12,13],[1,5,7,10,11,13,14],[1,6,7,8,9,11,14],[1,6,8,9,10,12,13],[2,3,6,10,12,13,14],[2,3,7,8,10,11,12],[2,4,6,7,9,11,13],[2,4,6,10,11,13,14],[2,5,6,7,9,12,14],[2,5,7,8,9,10,11],[2,5,8,9,12,13,14],[3,4,5,6,8,9,14],[3,4,5,8,11,13,14],[3,4,7,9,10,12,14],[3,4,7,9,11,12,13],[3,5,6,7,8,10,13],[4,5,6,8,10,11,12]]; G[2296]:=Group([(1,2,14)(3,13,7)(4,12,11)(5,6,10)]); # Design 2297: autom. group order 3, simple, residual B[2297]:=[[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],[1,2,4,5,11,13,14],[1,2,4,7,10,12,13],[1,3,5,8,10,11,13],[1,3,6,7,10,11,14],[1,4,5,9,10,12,14],[1,4,6,7,8,12,14],[1,5,7,8,9,11,12],[1,6,7,8,9,10,13],[1,6,9,11,12,13,14],[2,3,6,8,12,13,14],[2,3,7,9,10,11,12],[2,4,6,9,10,11,14],[2,4,7,8,11,12,13],[2,5,6,7,8,10,14],[2,5,6,9,10,12,13],[2,5,7,8,9,11,14],[3,4,5,6,8,9,12],[3,4,5,7,9,13,14],[3,4,6,7,9,11,13],[3,4,8,10,11,12,14],[3,5,7,10,12,13,14],[4,5,6,8,10,11,13]]; G[2297]:=Group([(1,4,11)(2,13,5)(3,7,8)(6,12,10)]); # Design 2298: autom. group order 3, simple, residual B[2298]:=[[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],[1,2,4,5,8,12,14],[1,2,4,9,11,13,14],[1,3,5,7,9,10,14],[1,3,6,10,11,12,13],[1,4,5,9,10,12,13],[1,4,7,10,11,12,14],[1,5,6,8,10,13,14],[1,6,7,8,9,11,14],[1,6,7,8,9,12,13],[2,3,6,9,10,13,14],[2,3,7,8,10,12,14],[2,4,6,7,10,12,13],[2,4,6,8,9,10,11],[2,5,6,9,11,12,14],[2,5,7,8,9,12,13],[2,5,7,10,11,13,14],[3,4,5,6,8,13,14],[3,4,5,7,9,11,13],[3,4,6,7,9,12,14],[3,4,8,11,12,13,14],[3,5,8,9,10,11,12],[4,5,6,7,8,10,11]]; G[2298]:=Group([(1,5,11)(2,12,3)(4,9,13)(7,14,10)]); # Design 2299: autom. group order 3, simple, residual B[2299]:=[[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],[1,3,5,8,9,10,12],[1,3,6,7,10,11,14],[1,4,5,7,8,12,14],[1,4,7,9,10,11,14],[1,5,6,7,9,11,13],[1,6,7,8,10,12,13],[1,6,8,9,12,13,14],[2,3,6,7,8,9,14],[2,3,7,10,12,13,14],[2,4,6,7,9,10,12],[2,4,6,8,11,12,14],[2,5,6,9,10,13,14],[2,5,7,8,9,11,12],[2,5,7,8,10,11,13],[3,4,5,6,8,10,13],[3,4,5,7,12,13,14],[3,4,6,9,11,12,13],[3,4,7,8,9,11,13],[3,5,9,10,11,12,14],[4,5,6,8,10,11,14]]; G[2299]:=Group([(1,11,13)(3,8,14)(4,12,10)(6,7,9)]); # Design 2300: autom. group order 3, simple, residual B[2300]:=[[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],[1,2,4,7,9,12,14],[1,3,5,7,10,12,13],[1,3,7,8,11,13,14],[1,4,5,6,9,10,11],[1,4,6,8,10,13,14],[1,5,8,10,11,12,14],[1,6,7,8,9,10,12],[1,6,7,9,11,13,14],[2,3,6,10,11,12,14],[2,3,7,8,9,10,14],[2,4,6,7,8,11,13],[2,4,8,10,11,12,13],[2,5,6,7,8,12,14],[2,5,6,9,10,13,14],[2,5,7,9,10,11,13],[3,4,5,7,10,11,14],[3,4,5,8,9,13,14],[3,4,6,7,10,12,13],[3,4,6,9,11,12,14],[3,5,6,8,9,12,13],[4,5,7,8,9,11,12]]; G[2300]:=Group([(1,11,12)(2,13,3)(4,7,6)(5,8,10)]); # Design 2301: autom. group order 3, simple, residual B[2301]:=[[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],[1,2,4,5,10,12,13],[1,2,4,7,9,12,14],[1,3,5,7,10,13,14],[1,3,7,8,10,13,14],[1,4,5,8,9,11,14],[1,4,6,7,11,12,13],[1,5,6,9,10,11,14],[1,6,7,8,10,11,12],[1,6,8,9,12,13,14],[2,3,6,9,10,12,14],[2,3,7,8,11,12,14],[2,4,6,7,10,11,14],[2,4,8,10,11,13,14],[2,5,6,7,9,13,14],[2,5,6,8,10,12,13],[2,5,7,8,9,11,13],[3,4,5,6,8,12,14],[3,4,5,11,12,13,14],[3,4,6,7,8,9,13],[3,4,6,9,10,11,13],[3,5,7,9,10,11,12],[4,5,7,8,9,10,12]]; G[2301]:=Group([(1,3,14)(2,12,9)(4,11,6)(7,13,10)]); # Design 2302: autom. group order 3, simple, residual B[2302]:=[[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],[1,2,4,7,8,11,14],[1,3,5,9,11,12,14],[1,3,7,8,10,12,13],[1,4,5,7,9,10,12],[1,4,6,9,12,13,14],[1,5,6,7,8,13,14],[1,6,7,9,10,11,14],[1,6,8,10,11,12,13],[2,3,6,7,10,12,14],[2,3,7,9,12,13,14],[2,4,6,8,11,12,14],[2,4,7,10,11,12,13],[2,5,6,7,8,9,13],[2,5,6,8,9,10,12],[2,5,9,10,11,13,14],[3,4,5,6,10,11,13],[3,4,5,8,12,13,14],[3,4,6,7,9,11,13],[3,4,6,8,9,10,14],[3,5,7,8,10,11,14],[4,5,7,8,9,11,12]]; G[2302]:=Group([(1,6,9)(3,5,8)(4,12,13)(7,10,11)]); # Design 2303: autom. group order 3, simple B[2303]:=[[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],[1,2,4,7,8,11,14],[1,3,5,8,10,12,14],[1,3,7,9,10,11,13],[1,4,5,7,9,10,12],[1,4,6,10,12,13,14],[1,5,6,7,11,13,14],[1,6,7,8,9,12,14],[1,6,8,9,10,11,13],[2,3,6,7,9,10,14],[2,3,7,10,12,13,14],[2,4,6,8,10,11,14],[2,4,7,9,11,12,13],[2,5,6,7,8,10,13],[2,5,6,9,10,11,12],[2,5,8,9,12,13,14],[3,4,5,6,8,9,13],[3,4,5,10,11,13,14],[3,4,6,7,8,12,13],[3,4,6,9,11,12,14],[3,5,7,8,9,11,14],[4,5,7,8,10,11,12]]; G[2303]:=Group([(1,6,12)(3,5,11)(4,10,13)(7,9,8)]); # Design 2304: autom. group order 3, 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],[1,2,3,6,11,13,14],[1,2,4,5,9,13,14],[1,2,4,6,10,11,12],[1,3,5,7,8,10,13],[1,3,6,7,10,12,14],[1,4,5,7,9,12,13],[1,4,8,10,12,13,14],[1,5,6,8,9,11,14],[1,6,7,9,10,11,13],[1,7,8,9,11,12,14],[2,3,7,8,9,11,13],[2,3,9,10,12,13,14],[2,4,6,7,8,9,12],[2,4,7,8,10,11,14],[2,5,6,7,9,10,14],[2,5,6,8,12,13,14],[2,5,7,10,11,12,13],[3,4,5,7,11,12,14],[3,4,5,9,10,11,14],[3,4,6,7,8,13,14],[3,4,6,9,11,12,13],[3,5,6,8,9,10,12],[4,5,6,8,10,11,13]]; G[2304]:=Group([(1,4,11)(2,10,6)(3,8,13)(5,14,9)]); # Design 2305: autom. group order 3, simple, residual B[2305]:=[[1,2,3,4,5,6,7],[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],[1,2,4,6,10,13,14],[1,3,5,7,10,13,14],[1,3,6,9,10,12,14],[1,4,5,7,8,9,12],[1,4,7,8,11,13,14],[1,5,8,9,10,12,13],[1,6,7,8,10,11,13],[1,6,7,9,11,12,14],[2,3,7,8,9,11,13],[2,3,7,8,10,12,14],[2,4,6,8,12,13,14],[2,4,7,9,10,12,13],[2,5,6,7,8,9,14],[2,5,6,9,10,11,13],[2,5,7,10,11,12,14],[3,4,5,6,7,12,13],[3,4,5,8,10,11,14],[3,4,6,7,9,10,11],[3,4,9,11,12,13,14],[3,5,6,8,9,13,14],[4,5,6,8,10,11,12]]; G[2305]:=Group([(1,5,14)(2,11,4)(3,10,13)(6,12,8)]); # Design 2306: autom. group order 3, simple, residual B[2306]:=[[1,2,3,4,5,6,7],[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],[1,3,5,6,7,9,10],[1,3,7,8,10,12,14],[1,4,5,8,9,12,13],[1,4,6,8,10,11,12],[1,5,6,10,11,13,14],[1,6,7,8,9,13,14],[1,7,9,10,11,12,13],[2,3,6,9,10,12,13],[2,3,7,8,9,11,13],[2,4,6,7,10,11,12],[2,4,6,9,10,13,14],[2,5,6,7,8,12,13],[2,5,7,8,10,12,14],[2,5,8,9,10,11,14],[3,4,5,7,10,13,14],[3,4,5,8,10,11,13],[3,4,6,8,12,13,14],[3,4,7,9,11,12,14],[3,5,6,9,11,12,14],[4,5,6,7,8,9,11]]; G[2306]:=Group([(1,11,13)(2,7,14)(3,9,6)(5,12,10)]); # Design 2307: autom. group order 3, simple, residual B[2307]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,4,5,8,12,14],[1,2,4,7,9,11,13],[1,3,5,6,9,10,11],[1,3,7,10,12,13,14],[1,4,5,7,9,13,14],[1,4,6,8,10,12,13],[1,5,6,9,10,12,14],[1,6,7,8,10,11,13],[1,7,8,9,11,12,14],[2,3,6,7,12,13,14],[2,3,7,8,9,10,14],[2,4,6,7,10,11,12],[2,4,6,9,10,13,14],[2,5,6,8,9,12,13],[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],[3,4,6,9,11,12,14],[3,4,8,9,11,12,13],[3,5,6,7,8,9,13],[4,5,6,7,8,11,14]]; G[2307]:=Group([(1,5,8)(2,4,14)(3,7,11)(9,13,10)]); # Design 2308: autom. group order 3, simple, residual B[2308]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,10,11],[1,2,4,5,9,13,14],[1,2,4,7,11,12,13],[1,3,5,6,8,13,14],[1,3,7,10,12,13,14],[1,4,5,8,10,12,14],[1,4,6,7,9,12,14],[1,5,6,7,10,11,13],[1,6,8,9,11,12,13],[1,7,8,9,10,11,14],[2,3,6,9,12,13,14],[2,3,7,8,10,13,14],[2,4,6,7,8,10,12],[2,4,6,10,11,13,14],[2,5,6,7,8,11,14],[2,5,7,8,9,12,13],[2,5,9,10,11,12,14],[3,4,5,7,9,11,14],[3,4,5,10,11,12,13],[3,4,6,8,11,12,14],[3,4,7,8,9,11,13],[3,5,6,7,9,10,12],[4,5,6,8,9,10,13]]; G[2308]:=Group([(1,11,14)(2,4,13)(5,12,6)(7,10,9)]); # Design 2309: autom. group order 3, simple, residual B[2309]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,7,11,13],[1,2,4,5,9,13,14],[1,2,4,11,12,13,14],[1,3,5,6,8,10,14],[1,3,7,8,12,13,14],[1,4,5,7,9,10,12],[1,4,6,7,10,12,14],[1,5,8,9,10,11,13],[1,6,7,9,10,11,13],[1,6,8,9,11,12,14],[2,3,6,9,10,13,14],[2,3,7,9,10,11,12],[2,4,6,8,10,12,13],[2,4,7,8,9,11,14],[2,5,6,7,8,9,14],[2,5,6,10,11,12,14],[2,5,7,8,10,12,13],[3,4,5,6,9,11,12],[3,4,5,10,11,13,14],[3,4,6,8,9,12,13],[3,4,7,8,10,11,14],[3,5,7,9,12,13,14],[4,5,6,7,8,11,13]]; G[2309]:=Group([(1,12,14)(2,10,3)(4,7,13)(6,8,11)]); # Design 2310: autom. group order 3, simple, residual B[2310]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,9,11],[1,2,3,6,7,12,13],[1,2,4,5,12,13,14],[1,2,4,10,11,12,14],[1,3,5,6,8,10,14],[1,3,7,9,11,12,14],[1,4,5,7,8,11,13],[1,4,7,9,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,10,12,13],[1,6,8,9,11,13,14],[2,3,6,9,11,12,13],[2,3,7,8,10,13,14],[2,4,6,8,9,13,14],[2,4,6,8,10,11,12],[2,5,6,7,9,10,11],[2,5,7,8,11,12,14],[2,5,7,9,10,13,14],[3,4,5,6,11,13,14],[3,4,5,9,10,12,13],[3,4,6,7,10,11,14],[3,4,7,8,9,12,14],[3,5,8,10,11,12,13],[4,5,6,7,8,9,12]]; G[2310]:=Group([(1,3,13)(2,12,7)(4,9,10)(5,11,8)]); # Design 2311: autom. group order 3, simple, residual B[2311]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,7,11,14],[1,2,4,5,8,11,12],[1,2,4,9,10,13,14],[1,3,5,6,9,13,14],[1,3,7,8,10,12,13],[1,4,5,7,10,12,14],[1,4,7,8,9,11,14],[1,5,6,8,10,13,14],[1,6,7,9,10,11,12],[1,6,8,9,11,12,13],[2,3,6,8,10,12,14],[2,3,9,10,11,12,14],[2,4,6,7,9,12,13],[2,4,6,8,11,13,14],[2,5,6,7,8,9,10],[2,5,7,8,10,11,13],[2,5,7,9,12,13,14],[3,4,5,6,8,9,12],[3,4,5,9,10,11,13],[3,4,6,7,10,11,13],[3,4,7,8,12,13,14],[3,5,7,8,9,11,14],[4,5,6,10,11,12,14]]; G[2311]:=Group([(1,7,10)(3,5,9)(4,6,8)(11,13,14)]); # Design 2312: autom. group order 3, simple, residual 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],[1,2,4,5,11,13,14],[1,2,4,7,9,12,14],[1,3,5,7,10,12,13],[1,3,6,7,8,13,14],[1,4,5,6,9,10,12],[1,4,8,10,11,12,14],[1,5,6,8,10,13,14],[1,6,7,9,10,11,14],[1,7,8,9,11,12,13],[2,3,6,10,11,12,14],[2,3,7,8,9,10,14],[2,4,6,7,12,13,14],[2,4,6,8,10,11,13],[2,5,6,7,8,10,12],[2,5,7,9,10,11,13],[2,5,8,9,12,13,14],[3,4,5,7,8,11,14],[3,4,5,9,10,13,14],[3,4,6,8,9,12,13],[3,4,7,10,11,12,13],[3,5,6,9,11,12,14],[4,5,6,7,8,9,11]]; G[2312]:=Group([(1,5,9)(2,13,11)(3,14,7)(4,10,6)]); # Design 2313: autom. group order 3, simple B[2313]:=[[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],[1,2,4,5,9,11,14],[1,2,4,7,10,12,14],[1,3,5,9,12,13,14],[1,3,6,8,10,13,14],[1,4,6,8,11,13,14],[1,4,6,9,10,12,13],[1,5,6,7,8,10,12],[1,5,7,9,10,11,13],[1,7,8,9,11,12,14],[2,3,6,8,9,12,14],[2,3,9,10,11,12,13],[2,4,5,8,10,12,13],[2,4,6,7,9,13,14],[2,5,6,10,11,13,14],[2,5,7,8,12,13,14],[2,6,7,8,9,10,11],[3,4,5,7,8,9,13],[3,4,5,8,10,11,14],[3,4,6,7,11,12,13],[3,4,7,10,11,12,14],[3,5,6,7,9,10,14],[4,5,6,8,9,11,12]]; G[2313]:=Group([(1,5,13)(2,8,6)(3,12,14)(7,10,11)]); # Design 2314: autom. group order 3, simple B[2314]:=[[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],[1,2,4,7,9,10,12],[1,3,5,7,10,11,14],[1,3,6,8,10,13,14],[1,4,6,8,9,13,14],[1,4,6,10,11,12,14],[1,5,7,8,11,12,13],[1,5,7,9,10,13,14],[1,6,7,8,9,11,12],[2,3,6,7,12,13,14],[2,3,7,8,10,12,14],[2,4,5,6,10,11,13],[2,4,7,8,11,13,14],[2,5,6,8,9,12,14],[2,5,8,9,10,11,14],[2,6,7,9,10,11,13],[3,4,5,7,8,9,13],[3,4,5,9,11,12,14],[3,4,6,7,9,11,14],[3,4,8,10,11,12,13],[3,5,6,9,10,12,13],[4,5,6,7,8,10,12]]; G[2314]:=Group([(1,2,14)(3,8,10)(4,12,13)(6,9,7)]); # Design 2315: autom. group order 3, simple B[2315]:=[[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],[1,2,4,5,8,9,13],[1,2,4,7,10,11,14],[1,3,5,8,10,13,14],[1,3,6,7,8,10,12],[1,4,6,7,8,11,13],[1,4,6,9,12,13,14],[1,5,7,9,10,11,14],[1,5,7,9,10,12,13],[1,6,8,9,11,12,14],[2,3,6,9,10,13,14],[2,3,7,8,9,11,14],[2,4,5,6,10,12,14],[2,4,7,8,12,13,14],[2,5,6,7,9,11,13],[2,5,8,10,11,12,13],[2,6,7,8,9,10,12],[3,4,5,7,9,12,14],[3,4,5,8,9,11,12],[3,4,6,9,10,11,13],[3,4,7,10,11,12,13],[3,5,6,7,8,13,14],[4,5,6,8,10,11,14]]; G[2315]:=Group([(1,3,10)(2,13,7)(4,14,12)(5,6,9)]); # Design 2316: autom. group order 3, simple, residual B[2316]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,6,7,11],[1,2,3,8,12,13,14],[1,2,4,5,9,12,13],[1,2,4,10,11,12,14],[1,3,5,10,11,13,14],[1,3,6,8,9,10,11],[1,4,6,7,9,13,14],[1,4,7,8,9,11,12],[1,5,6,8,10,12,14],[1,5,7,8,11,12,13],[1,6,7,9,10,13,14],[2,3,6,9,11,12,14],[2,3,7,9,10,12,13],[2,4,5,6,8,10,13],[2,4,6,8,11,13,14],[2,5,7,8,9,10,14],[2,5,7,8,9,11,14],[2,6,7,10,11,12,13],[3,4,5,7,10,12,14],[3,4,5,9,11,13,14],[3,4,6,7,8,12,14],[3,4,7,8,10,11,13],[3,5,6,8,9,12,13],[4,5,6,9,10,11,12]]; G[2316]:=Group([(1,2,14)(3,8,13)(4,11,10)(5,9,6)]); # Design 2317: autom. group order 3, simple, residual B[2317]:=[[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],[1,3,6,8,9,10,12],[1,4,6,9,11,13,14],[1,4,7,8,9,11,12],[1,5,6,7,8,10,14],[1,5,7,8,11,12,13],[1,6,7,9,10,13,14],[2,3,6,7,9,12,14],[2,3,7,9,10,11,13],[2,4,5,6,8,10,13],[2,4,6,8,12,13,14],[2,5,7,8,9,12,14],[2,5,8,9,10,11,14],[2,6,7,10,11,12,13],[3,4,5,7,10,11,14],[3,4,5,9,12,13,14],[3,4,6,7,8,11,14],[3,4,7,8,10,12,13],[3,5,6,8,9,11,13],[4,5,6,9,10,11,12]]; G[2317]:=Group([(1,2,14)(3,8,13)(4,12,10)(5,9,6)]); # Design 2318: autom. group order 3, simple, residual B[2318]:=[[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],[1,2,4,5,8,12,14],[1,2,4,10,11,12,13],[1,3,5,7,11,13,14],[1,3,6,10,11,12,14],[1,4,6,7,10,13,14],[1,4,7,8,9,11,13],[1,5,6,7,9,10,12],[1,5,8,9,10,13,14],[1,6,8,9,11,12,14],[2,3,6,8,10,13,14],[2,3,7,9,10,12,14],[2,4,5,9,10,11,14],[2,4,6,7,9,11,14],[2,5,6,9,11,12,13],[2,5,7,8,12,13,14],[2,6,7,8,10,11,13],[3,4,5,6,9,13,14],[3,4,5,10,11,12,13],[3,4,6,8,9,12,13],[3,4,7,8,11,12,14],[3,5,7,8,9,10,11],[4,5,6,7,8,10,12]]; G[2318]:=Group([(1,7,8)(2,6,12)(3,10,14)(9,13,11)]); # Design 2319: autom. group order 3, simple, residual B[2319]:=[[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],[1,2,4,5,11,13,14],[1,2,4,7,8,9,12],[1,3,5,8,10,12,13],[1,3,6,7,9,13,14],[1,4,6,7,10,11,14],[1,4,9,10,11,12,13],[1,5,6,8,9,10,14],[1,5,7,9,12,13,14],[1,6,7,8,10,11,12],[2,3,6,7,10,12,13],[2,3,9,10,11,12,14],[2,4,5,7,10,12,14],[2,4,6,8,10,13,14],[2,5,6,8,9,12,14],[2,5,7,9,10,11,13],[2,6,7,8,9,11,13],[3,4,5,6,9,10,13],[3,4,5,7,8,9,11],[3,4,6,9,11,12,14],[3,4,7,8,12,13,14],[3,5,7,8,10,11,14],[4,5,6,8,11,12,13]]; G[2319]:=Group([(1,9,11)(2,14,7)(3,6,8)(4,12,10)]); # Design 2320: autom. group order 3, simple, residual B[2320]:=[[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],[1,2,4,5,10,12,13],[1,2,4,7,11,13,14],[1,3,5,8,12,13,14],[1,3,7,9,10,13,14],[1,4,6,7,8,12,14],[1,4,9,10,11,12,14],[1,5,6,7,8,9,10],[1,5,6,8,9,11,14],[1,6,7,10,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,10,12,14],[2,4,5,7,9,11,14],[2,4,6,8,9,12,13],[2,5,6,9,10,13,14],[2,5,8,10,11,12,14],[2,6,7,8,10,11,13],[3,4,5,6,10,13,14],[3,4,5,7,8,10,11],[3,4,6,8,11,13,14],[3,4,6,9,10,11,12],[3,5,7,9,11,12,13],[4,5,7,8,9,12,13]]; G[2320]:=Group([(2,6,9)(3,5,8)(4,7,10)(12,14,13)]); # Design 2321: autom. group order 3, simple, residual 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],[1,2,4,5,12,13,14],[1,2,4,7,8,11,14],[1,3,5,6,10,12,13],[1,3,7,8,9,13,14],[1,4,6,7,10,13,14],[1,4,6,9,10,11,12],[1,5,6,7,9,11,14],[1,5,7,8,9,10,12],[1,8,10,11,12,13,14],[2,3,6,7,10,12,14],[2,3,7,10,11,12,14],[2,4,5,9,12,13,14],[2,4,6,8,10,11,13],[2,5,6,8,9,10,14],[2,5,7,9,10,11,13],[2,6,7,8,9,12,13],[3,4,5,7,8,10,13],[3,4,5,9,10,11,14],[3,4,6,8,9,12,14],[3,4,7,9,11,12,13],[3,5,6,8,11,13,14],[4,5,6,7,8,11,12]]; G[2321]:=Group([(2,12,14)(3,10,7)(4,5,13)]); # Design 2322: autom. group order 3, simple, residual B[2322]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,9,11],[1,2,4,5,8,12,14],[1,2,4,7,10,11,14],[1,3,5,6,10,13,14],[1,3,7,8,10,12,13],[1,4,6,7,11,12,13],[1,4,6,9,10,12,13],[1,5,6,7,8,9,14],[1,5,7,9,11,12,14],[1,8,9,10,11,13,14],[2,3,6,10,11,12,14],[2,3,7,9,12,13,14],[2,4,5,7,9,10,13],[2,4,6,9,11,13,14],[2,5,6,8,9,12,13],[2,5,7,8,10,11,13],[2,6,7,8,10,12,14],[3,4,5,8,11,13,14],[3,4,5,9,10,12,14],[3,4,6,7,8,13,14],[3,4,7,8,9,11,12],[3,5,6,7,9,10,11],[4,5,6,8,10,11,12]]; G[2322]:=Group([(1,2,13)(3,5,12)(4,9,10)(6,8,7)]); # Design 2323: autom. group order 3, simple, residual B[2323]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,11,12,13],[1,2,3,6,8,11,14],[1,2,4,5,9,12,13],[1,2,4,10,11,12,14],[1,3,5,6,9,10,14],[1,3,7,8,9,11,12],[1,4,6,7,8,12,14],[1,4,6,7,10,11,13],[1,5,7,8,9,13,14],[1,5,7,10,11,13,14],[1,6,8,9,10,12,13],[2,3,6,7,9,10,13],[2,3,7,10,12,13,14],[2,4,5,6,8,13,14],[2,4,7,8,9,11,13],[2,5,6,7,8,10,12],[2,5,8,9,10,11,14],[2,6,7,9,11,12,14],[3,4,5,7,8,10,11],[3,4,5,7,9,12,14],[3,4,6,9,11,13,14],[3,4,8,10,12,13,14],[3,5,6,8,11,12,13],[4,5,6,9,10,11,12]]; G[2323]:=Group([(1,10,12)(2,11,14)(3,5,7)(6,8,9)]); # Design 2324: autom. group order 3, simple B[2324]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,12],[1,2,4,5,9,13,14],[1,2,4,7,10,11,13],[1,3,5,6,8,13,14],[1,3,7,9,12,13,14],[1,4,6,7,8,10,12],[1,4,8,11,12,13,14],[1,5,6,7,9,10,13],[1,5,7,10,11,12,14],[1,6,8,9,10,11,14],[2,3,6,10,12,13,14],[2,3,7,8,10,13,14],[2,4,5,6,10,12,14],[2,4,7,8,9,12,14],[2,5,6,7,8,11,14],[2,5,8,9,10,11,13],[2,6,7,9,11,12,13],[3,4,5,7,9,11,14],[3,4,5,10,11,12,13],[3,4,6,7,8,11,13],[3,4,6,9,10,11,14],[3,5,7,8,9,10,12],[4,5,6,8,9,12,13]]; G[2324]:=Group([(1,4,13)(2,11,14)(5,7,8)(9,10,12)]); # Design 2325: autom. group order 3, 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],[1,2,3,6,7,8,14],[1,2,4,5,8,11,12],[1,2,4,9,10,13,14],[1,3,5,6,9,10,11],[1,3,7,9,11,13,14],[1,4,6,7,9,12,14],[1,4,7,8,10,11,13],[1,5,6,8,10,12,14],[1,5,7,10,12,13,14],[1,6,8,9,11,12,13],[2,3,6,9,10,12,13],[2,3,7,10,11,12,14],[2,4,5,7,9,12,13],[2,4,6,10,11,12,14],[2,5,6,8,9,13,14],[2,5,7,8,9,11,14],[2,6,7,8,10,11,13],[3,4,5,6,11,13,14],[3,4,5,8,10,13,14],[3,4,6,7,8,12,13],[3,4,8,9,11,12,14],[3,5,7,8,9,10,12],[4,5,6,7,9,10,11]]; G[2325]:=Group([(1,11,14)(2,10,5)(3,7,13)(4,6,8)]); # Design 2326: autom. group order 3, simple B[2326]:=[[1,2,3,4,5,6,7],[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],[1,2,4,7,9,12,13],[1,3,5,6,9,10,12],[1,3,7,8,9,11,14],[1,4,6,7,8,10,13],[1,4,8,10,11,12,14],[1,5,6,10,11,13,14],[1,5,7,8,9,11,13],[1,6,7,9,10,12,14],[2,3,6,7,10,11,12],[2,3,7,8,10,13,14],[2,4,5,9,10,11,14],[2,4,6,7,9,11,14],[2,5,6,8,9,10,13],[2,5,7,8,10,12,14],[2,6,8,9,11,12,13],[3,4,5,6,8,9,14],[3,4,5,7,10,11,13],[3,4,6,8,12,13,14],[3,4,9,10,11,12,13],[3,5,7,9,12,13,14],[4,5,6,7,8,11,12]]; G[2326]:=Group([(1,4,8)(2,6,11)(3,7,12)(9,13,14)]); # Design 2327: autom. group order 3, simple, residual 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],[1,2,4,5,10,13,14],[1,2,4,7,11,12,14],[1,3,5,9,12,13,14],[1,3,6,7,8,10,12],[1,4,6,7,9,13,14],[1,4,6,9,10,11,12],[1,5,6,7,8,10,14],[1,5,7,8,9,11,13],[1,8,10,11,12,13,14],[2,3,6,10,12,13,14],[2,3,7,9,10,11,14],[2,4,5,8,9,12,14],[2,4,7,8,10,11,13],[2,5,6,7,11,12,13],[2,5,6,8,9,10,13],[2,6,7,8,9,12,14],[3,4,5,6,8,11,14],[3,4,5,7,10,12,13],[3,4,6,8,11,13,14],[3,4,7,8,9,12,13],[3,5,7,9,10,11,14],[4,5,6,9,10,11,12]]; G[2327]:=Group([(1,2,13)(3,6,9)(4,10,14)(7,8,12)]); # Design 2328: autom. group order 3, simple, residual B[2328]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,11,12,13],[1,2,4,5,8,13,14],[1,2,4,7,9,11,14],[1,3,5,9,10,12,13],[1,3,6,7,8,9,14],[1,4,6,7,12,13,14],[1,4,6,9,10,11,12],[1,5,6,8,10,13,14],[1,5,7,10,11,12,14],[1,7,8,9,10,11,13],[2,3,6,9,10,13,14],[2,3,7,10,11,13,14],[2,4,5,9,10,12,14],[2,4,7,8,10,12,13],[2,5,6,7,8,10,11],[2,5,6,7,9,12,13],[2,6,8,9,11,12,14],[3,4,5,6,10,11,14],[3,4,5,7,9,11,13],[3,4,6,7,8,10,12],[3,4,8,11,12,13,14],[3,5,7,8,9,12,14],[4,5,6,8,9,11,13]]; G[2328]:=Group([(1,9,10)(2,5,7)(3,13,8)(4,12,11)]); # Design 2329: autom. group order 3, simple, residual B[2329]:=[[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],[1,2,4,5,12,13,14],[1,2,4,7,11,12,14],[1,3,5,8,10,12,13],[1,3,6,7,9,13,14],[1,4,6,7,8,10,11],[1,4,6,9,10,12,14],[1,5,7,8,10,13,14],[1,5,7,9,10,11,12],[1,6,8,9,11,13,14],[2,3,6,8,10,12,14],[2,3,7,9,10,11,14],[2,4,5,6,9,10,13],[2,4,8,10,11,13,14],[2,5,6,7,10,11,13],[2,5,7,8,9,12,14],[2,6,7,8,9,12,13],[3,4,5,6,7,8,14],[3,4,5,9,11,13,14],[3,4,7,8,11,12,13],[3,4,7,9,10,12,13],[3,5,6,10,11,12,14],[4,5,6,8,9,11,12]]; G[2329]:=Group([(1,6,12)(2,13,3)(4,9,10)(5,7,8)]); # Design 2330: autom. group order 3, 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],[1,2,3,6,9,13,14],[1,2,4,5,10,11,13],[1,2,4,9,11,12,14],[1,3,5,7,9,10,14],[1,3,6,10,11,12,13],[1,4,6,7,8,11,14],[1,4,7,8,10,12,14],[1,5,6,7,8,9,13],[1,5,6,10,12,13,14],[1,7,8,9,11,12,13],[2,3,6,7,11,12,14],[2,3,7,8,10,12,13],[2,4,5,7,9,12,13],[2,4,6,8,10,13,14],[2,5,6,7,8,10,11],[2,5,6,8,9,12,14],[2,7,9,10,11,13,14],[3,4,5,7,11,13,14],[3,4,5,8,12,13,14],[3,4,6,7,9,10,12],[3,4,6,8,9,11,13],[3,5,8,9,10,11,14],[4,5,6,9,10,11,12]]; G[2330]:=Group([(1,10,14)(3,8,6)(4,13,9)(5,7,12)]); # Design 2331: autom. group order 3, 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],[1,2,3,6,9,13,14],[1,2,4,5,11,13,14],[1,2,4,7,9,12,13],[1,3,5,7,9,10,11],[1,3,6,10,11,12,13],[1,4,6,7,10,11,14],[1,4,8,10,12,13,14],[1,5,6,7,8,13,14],[1,5,6,8,9,10,12],[1,7,8,9,11,12,14],[2,3,6,7,10,12,14],[2,3,8,10,11,13,14],[2,4,5,9,10,12,14],[2,4,6,7,8,11,12],[2,5,6,8,9,11,14],[2,5,7,10,11,12,13],[2,6,7,8,9,10,13],[3,4,5,6,8,12,13],[3,4,5,7,8,10,14],[3,4,6,9,11,12,14],[3,4,7,8,9,11,13],[3,5,7,9,12,13,14],[4,5,6,9,10,11,13]]; G[2331]:=Group([(1,7,11)(3,6,8)(4,12,5)(9,10,14)]); # Design 2332: autom. group order 3, simple B[2332]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,11,13,14],[1,2,4,5,12,13,14],[1,2,4,7,9,11,13],[1,3,5,7,8,10,14],[1,3,6,9,10,11,12],[1,4,6,9,10,12,14],[1,4,7,8,10,11,12],[1,5,6,7,9,12,13],[1,5,6,8,10,13,14],[1,7,8,9,11,13,14],[2,3,6,7,8,9,14],[2,3,9,10,12,13,14],[2,4,5,8,9,10,13],[2,4,6,8,11,12,14],[2,5,6,7,9,10,11],[2,5,7,10,11,12,14],[2,6,7,8,10,12,13],[3,4,5,6,10,11,13],[3,4,5,7,9,12,14],[3,4,6,7,8,12,13],[3,4,7,10,11,13,14],[3,5,8,9,11,12,13],[4,5,6,8,9,11,14]]; G[2332]:=Group([(1,7,12)(2,3,14)(6,9,13)(8,10,11)]); # Design 2333: autom. group order 3, 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],[1,2,4,5,10,11,14],[1,2,4,7,12,13,14],[1,3,5,7,8,13,14],[1,3,6,7,9,10,12],[1,4,6,8,10,12,13],[1,4,8,9,11,13,14],[1,5,6,9,12,13,14],[1,5,7,9,10,11,12],[1,6,7,8,10,11,14],[2,3,6,8,11,12,14],[2,3,9,10,12,13,14],[2,4,5,6,9,10,14],[2,4,6,7,11,12,13],[2,5,6,7,8,10,13],[2,5,7,8,9,12,14],[2,7,8,9,10,11,13],[3,4,5,7,9,11,13],[3,4,5,8,10,12,13],[3,4,6,7,8,9,14],[3,4,7,10,11,12,14],[3,5,6,10,11,13,14],[4,5,6,8,9,11,12]]; G[2333]:=Group([(1,5,11)(2,12,10)(3,9,14)(4,8,7)]); # Design 2334: autom. group order 3, simple B[2334]:=[[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],[1,3,5,7,9,10,11],[1,3,6,8,9,12,13],[1,4,6,7,8,10,13],[1,4,7,9,11,12,14],[1,5,6,7,12,13,14],[1,5,8,9,10,12,14],[1,6,7,8,10,11,14],[2,3,6,7,8,9,14],[2,3,7,10,12,13,14],[2,4,6,7,9,10,12],[2,4,6,8,11,12,14],[2,5,6,9,10,13,14],[2,5,7,8,9,11,12],[2,5,7,8,10,11,13],[3,4,5,6,10,11,14],[3,4,5,7,8,12,13],[3,4,5,8,10,12,14],[3,4,7,9,11,13,14],[3,6,9,10,11,12,13],[4,5,6,8,9,11,13]]; G[2334]:=Group([(1,11,13)(3,8,14)(4,12,10)(6,7,9)]); # Design 2335: autom. group order 3, simple, residual B[2335]:=[[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],[1,3,5,7,10,12,14],[1,3,6,8,9,12,13],[1,4,6,7,8,10,13],[1,4,7,9,11,12,14],[1,5,6,7,9,11,13],[1,5,8,9,10,12,14],[1,6,7,8,10,11,14],[2,3,6,7,8,9,14],[2,3,7,10,12,13,14],[2,4,6,7,9,10,12],[2,4,6,8,11,12,14],[2,5,6,9,10,13,14],[2,5,7,8,9,11,12],[2,5,7,8,10,11,13],[3,4,5,6,10,11,14],[3,4,5,7,8,12,13],[3,4,5,8,9,10,11],[3,4,7,9,11,13,14],[3,6,9,10,11,12,13],[4,5,6,8,12,13,14]]; G[2335]:=Group([(1,11,13)(3,8,14)(4,12,10)(6,7,9)]); # Design 2336: autom. group order 3, simple, residual B[2336]:=[[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],[1,2,4,5,10,12,13],[1,2,4,7,11,13,14],[1,3,5,8,12,13,14],[1,3,7,9,10,13,14],[1,4,6,7,8,12,14],[1,4,9,10,11,12,14],[1,5,6,7,8,9,10],[1,5,6,8,9,11,14],[1,6,7,10,11,12,13],[2,3,6,7,9,12,14],[2,3,7,8,10,12,14],[2,4,6,8,9,12,13],[2,4,6,8,10,11,14],[2,5,6,9,10,13,14],[2,5,7,8,11,13,14],[2,5,7,9,10,11,12],[3,4,5,6,10,13,14],[3,4,5,7,8,10,11],[3,4,5,9,11,12,14],[3,4,6,7,9,11,13],[3,6,8,10,11,12,13],[4,5,7,8,9,12,13]]; G[2336]:=Group([(2,6,9)(3,5,8)(4,7,10)(12,14,13)]); # Design 2337: autom. group order 3, simple, residual B[2337]:=[[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],[1,2,4,5,6,7,13],[1,2,4,10,11,12,14],[1,3,5,10,12,13,14],[1,3,6,7,9,10,14],[1,4,6,8,9,11,14],[1,4,7,8,12,13,14],[1,5,6,8,9,12,13],[1,5,7,9,10,11,13],[1,6,7,8,10,11,12],[2,3,6,7,9,11,12],[2,3,6,8,10,12,13],[2,4,6,9,12,13,14],[2,4,7,8,10,11,13],[2,5,6,10,11,13,14],[2,5,7,8,9,10,14],[2,5,7,8,9,12,14],[3,4,5,6,8,10,14],[3,4,5,7,11,12,14],[3,4,5,8,9,11,13],[3,4,7,9,10,12,13],[3,6,7,8,11,13,14],[4,5,6,9,10,11,12]]; G[2337]:=Group([(1,4,6)(2,5,7)(8,14,9)]); # Design 2338: autom. group order 3, simple, residual B[2338]:=[[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],[1,2,4,5,6,7,13],[1,2,4,10,11,13,14],[1,3,5,10,12,13,14],[1,3,6,7,8,9,14],[1,4,6,8,10,12,14],[1,4,7,9,11,12,14],[1,5,6,9,10,11,12],[1,5,7,8,9,12,13],[1,6,7,8,10,11,13],[2,3,6,7,11,12,14],[2,3,6,8,10,12,13],[2,4,6,8,9,11,12],[2,4,7,9,10,12,13],[2,5,6,9,12,13,14],[2,5,7,8,9,10,14],[2,5,7,8,10,11,14],[3,4,5,6,9,10,14],[3,4,5,7,10,11,12],[3,4,5,8,9,11,13],[3,4,7,8,12,13,14],[3,6,7,9,10,11,13],[4,5,6,8,11,13,14]]; G[2338]:=Group([(1,4,6)(2,5,7)(8,10,14)]); # Design 2339: autom. group order 3, simple, residual B[2339]:=[[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],[1,2,4,5,6,7,13],[1,2,4,10,11,12,14],[1,3,5,9,10,12,13],[1,3,6,7,8,10,14],[1,4,6,8,9,11,14],[1,4,7,8,12,13,14],[1,5,6,9,12,13,14],[1,5,7,8,10,11,13],[1,6,7,9,10,11,12],[2,3,6,7,11,12,14],[2,3,6,8,10,12,13],[2,4,6,8,9,12,13],[2,4,7,9,10,11,13],[2,5,6,10,11,13,14],[2,5,7,8,9,10,14],[2,5,7,8,9,12,14],[3,4,5,6,9,10,14],[3,4,5,7,9,11,12],[3,4,5,8,11,13,14],[3,4,7,10,12,13,14],[3,6,7,8,9,11,13],[4,5,6,8,10,11,12]]; G[2339]:=Group([(1,4,6)(2,5,7)(8,9,14)]); # Design 2340: autom. group order 3, simple B[2340]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,5,10,11,14],[1,2,6,7,9,13,14],[1,3,4,6,12,13,14],[1,3,8,9,10,13,14],[1,4,6,8,10,11,12],[1,4,7,9,11,12,13],[1,5,6,8,9,11,14],[1,5,7,8,11,12,13],[1,5,7,9,10,12,14],[2,3,5,9,11,12,13],[2,3,7,8,11,12,14],[2,4,6,8,9,12,13],[2,4,7,10,11,13,14],[2,4,8,9,10,12,14],[2,5,6,7,9,10,12],[2,5,6,8,11,13,14],[3,4,5,7,8,12,14],[3,4,5,9,10,11,13],[3,4,6,7,9,11,14],[3,5,6,10,12,13,14],[3,6,7,8,9,10,11],[4,5,6,7,8,10,13]]; G[2340]:=Group([(1,9,14)(3,12,11)(5,8,10)(6,13,7)]); # Design 2341: autom. group order 3, simple B[2341]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,5,11,13,14],[1,2,6,8,12,13,14],[1,3,4,6,9,12,13],[1,3,7,8,10,12,14],[1,4,7,9,11,12,14],[1,4,8,9,10,11,14],[1,5,6,7,8,9,10],[1,5,6,9,10,11,13],[1,5,7,8,11,12,13],[2,3,5,9,11,12,14],[2,3,8,9,10,11,13],[2,4,6,7,9,10,14],[2,4,6,8,10,11,12],[2,4,7,8,9,12,13],[2,5,6,7,8,11,14],[2,5,7,9,10,12,13],[3,4,5,7,10,11,12],[3,4,5,8,10,13,14],[3,4,6,7,8,11,13],[3,5,6,8,9,12,14],[3,6,7,9,11,13,14],[4,5,6,10,12,13,14]]; G[2341]:=Group([(1,5,14)(2,13,11)(3,10,9)(6,12,7)]); # Design 2342: autom. group order 3, simple, residual B[2342]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,5,11,13,14],[1,2,6,7,9,11,14],[1,3,4,10,12,13,14],[1,3,6,7,8,12,14],[1,4,6,8,9,11,12],[1,4,7,9,10,13,14],[1,5,6,8,9,10,13],[1,5,7,9,11,12,13],[1,5,8,10,11,12,14],[2,3,5,9,10,11,14],[2,3,8,9,12,13,14],[2,4,6,8,10,11,13],[2,4,6,9,10,12,14],[2,4,7,8,11,12,13],[2,5,6,7,12,13,14],[2,5,7,8,9,10,12],[3,4,5,6,9,12,13],[3,4,5,7,10,11,12],[3,4,7,8,9,11,14],[3,5,6,8,11,13,14],[3,6,7,9,10,11,13],[4,5,6,7,8,10,14]]; G[2342]:=Group([(1,2,13)(3,8,10)(5,11,14)(6,12,9)]); # Design 2343: autom. group order 3, simple, residual B[2343]:=[[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],[1,2,4,5,11,12,13],[1,2,6,9,10,13,14],[1,3,4,7,11,13,14],[1,3,6,7,8,12,13],[1,4,6,8,9,11,14],[1,4,7,8,9,10,12],[1,5,6,7,9,11,14],[1,5,7,8,10,12,14],[1,5,9,10,11,12,13],[2,3,5,8,9,12,14],[2,3,7,9,10,11,14],[2,4,6,7,9,10,12],[2,4,6,8,11,12,14],[2,4,7,8,10,11,13],[2,5,6,7,12,13,14],[2,5,7,8,9,11,13],[3,4,5,6,9,10,13],[3,4,5,10,11,12,14],[3,4,7,9,12,13,14],[3,5,6,7,8,10,11],[3,6,8,9,11,12,13],[4,5,6,8,10,13,14]]; G[2343]:=Group([(1,4,8)(2,14,7)(3,11,10)(5,6,12)]); # Design 2344: autom. group order 3, simple, residual B[2344]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,12,14],[1,3,4,10,11,13,14],[1,3,6,8,9,13,14],[1,4,6,8,11,12,14],[1,4,7,8,9,12,13],[1,5,6,9,10,11,12],[1,5,7,8,10,11,14],[1,5,7,9,10,13,14],[2,3,5,9,11,12,14],[2,3,7,8,10,12,14],[2,4,6,10,12,13,14],[2,4,7,8,9,11,14],[2,4,7,9,10,11,13],[2,5,6,8,9,10,13],[2,5,6,8,11,13,14],[3,4,5,6,7,13,14],[3,4,5,9,10,12,14],[3,4,6,8,9,10,11],[3,5,7,8,11,12,13],[3,6,7,9,11,12,13],[4,5,6,7,8,10,12]]; G[2344]:=Group([(1,4,6)(2,5,7)(8,14,11)(9,13,10)]); # Design 2345: autom. group order 3, simple, residual B[2345]:=[[1,2,3,4,5,6,7],[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],[1,2,6,9,11,12,14],[1,3,4,8,12,13,14],[1,3,7,9,10,11,13],[1,4,6,7,11,13,14],[1,4,8,9,11,12,13],[1,5,6,7,8,9,13],[1,5,6,8,10,12,14],[1,5,7,9,10,12,14],[2,3,5,9,12,13,14],[2,3,7,8,11,12,14],[2,4,6,7,8,9,12],[2,4,6,9,10,13,14],[2,4,7,8,10,13,14],[2,5,6,7,11,12,13],[2,5,8,9,10,11,13],[3,4,5,6,10,12,13],[3,4,5,7,9,11,14],[3,4,6,9,10,11,12],[3,5,6,8,11,13,14],[3,6,7,8,9,10,14],[4,5,7,8,10,11,12]]; G[2345]:=Group([(1,4,10)(2,14,5)(3,13,12)(6,7,8)]); # Design 2346: autom. group order 3, simple, residual B[2346]:=[[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],[1,2,4,5,10,11,14],[1,2,6,7,11,12,14],[1,3,4,7,12,13,14],[1,3,8,9,11,12,14],[1,4,6,9,11,12,13],[1,4,7,8,10,11,13],[1,5,6,7,8,9,12],[1,5,6,8,10,13,14],[1,5,7,9,10,13,14],[2,3,5,8,12,13,14],[2,3,7,9,10,11,13],[2,4,6,7,8,9,13],[2,4,6,9,10,12,14],[2,4,7,8,10,12,14],[2,5,6,9,11,13,14],[2,5,7,8,11,12,13],[3,4,5,6,10,12,13],[3,4,5,7,9,11,14],[3,4,6,8,11,13,14],[3,5,6,7,10,11,12],[3,6,7,8,9,10,14],[4,5,8,9,10,11,12]]; G[2346]:=Group([(1,4,14)(2,10,5)(3,12,13)(6,8,9)]); # Design 2347: autom. group order 3, simple, residual B[2347]:=[[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],[1,2,4,5,12,13,14],[1,2,7,9,10,11,14],[1,3,4,6,9,12,14],[1,3,7,9,10,12,13],[1,4,7,8,9,11,14],[1,4,7,8,11,12,13],[1,5,6,7,8,10,14],[1,5,6,8,9,10,13],[1,5,6,11,12,13,14],[2,3,5,9,11,13,14],[2,3,6,7,8,13,14],[2,4,6,7,9,11,13],[2,4,6,8,9,10,12],[2,4,8,10,12,13,14],[2,5,6,7,8,11,12],[2,5,7,9,10,12,14],[3,4,5,7,10,11,12],[3,4,5,8,10,11,14],[3,4,6,7,10,13,14],[3,5,7,8,9,12,13],[3,6,8,9,11,12,14],[4,5,6,9,10,11,13]]; G[2347]:=Group([(1,4,10)(2,5,11)(6,7,12)(9,14,13)]); # Design 2348: autom. group order 3, simple, residual B[2348]:=[[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],[1,2,5,7,11,12,14],[1,3,4,7,12,13,14],[1,3,5,6,9,10,14],[1,4,5,10,11,12,13],[1,4,7,8,9,10,11],[1,5,7,8,9,13,14],[1,6,7,9,10,12,13],[1,6,8,9,11,12,14],[2,3,7,8,9,11,12],[2,3,9,10,11,13,14],[2,4,5,9,10,12,13],[2,4,6,7,9,10,14],[2,4,7,8,10,12,14],[2,5,6,7,9,11,13],[2,5,6,8,12,13,14],[3,4,5,9,11,12,14],[3,4,6,7,11,13,14],[3,4,6,8,9,12,13],[3,5,6,7,8,10,12],[3,5,7,8,10,11,13],[4,5,6,8,10,11,14]]; G[2348]:=Group([(1,8,12)(2,7,13)(3,10,4)(6,11,9)]); # Design 2349: autom. group order 3, simple B[2349]:=[[1,2,3,4,5,6,7],[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],[1,2,5,7,9,13,14],[1,3,4,9,11,12,13],[1,3,5,8,11,12,14],[1,4,5,6,10,13,14],[1,4,7,8,10,12,14],[1,5,7,9,10,12,13],[1,6,7,8,9,10,11],[1,6,8,9,11,13,14],[2,3,6,8,9,13,14],[2,3,7,10,11,13,14],[2,4,5,8,9,10,11],[2,4,6,9,10,12,13],[2,4,7,8,11,12,13],[2,5,6,8,10,12,14],[2,5,7,9,11,12,14],[3,4,5,10,11,13,14],[3,4,6,7,9,12,14],[3,4,7,8,9,10,14],[3,5,6,7,8,12,13],[3,5,6,9,10,11,12],[4,5,6,7,8,11,13]]; G[2349]:=Group([(1,3,11)(2,10,6)(4,13,9)(5,14,8)]); # Design 2350: autom. group order 3, simple, residual B[2350]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,9,12,13],[1,3,4,9,11,13,14],[1,3,5,7,10,12,14],[1,4,5,6,12,13,14],[1,4,9,10,11,12,14],[1,5,7,8,11,13,14],[1,6,7,8,9,10,13],[1,6,7,8,9,11,12],[2,3,6,9,12,13,14],[2,3,7,8,9,12,14],[2,4,5,7,11,12,13],[2,4,6,7,8,11,14],[2,4,7,9,10,13,14],[2,5,6,9,10,11,13],[2,5,8,10,11,12,14],[3,4,5,8,9,10,11],[3,4,6,8,11,12,13],[3,4,7,8,10,12,13],[3,5,6,7,9,11,14],[3,5,6,8,10,13,14],[4,5,6,7,9,10,12]]; G[2350]:=Group([(1,3,8)(2,4,9)(6,11,12)(7,10,13)]); # Design 2351: autom. group order 3, simple, residual B[2351]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,9,10,12],[1,2,4,6,10,13,14],[1,2,5,11,12,13,14],[1,3,4,11,12,13,14],[1,3,5,9,10,13,14],[1,4,5,6,9,11,12],[1,4,7,8,10,11,13],[1,5,7,8,10,12,14],[1,6,7,8,9,11,14],[1,6,7,8,9,12,13],[2,3,6,7,11,12,14],[2,3,8,9,11,12,13],[2,4,5,7,8,12,13],[2,4,6,8,10,12,14],[2,4,7,9,10,11,13],[2,5,6,8,9,13,14],[2,5,7,9,10,11,14],[3,4,5,7,8,11,14],[3,4,6,7,9,13,14],[3,4,8,9,10,12,14],[3,5,6,7,10,12,13],[3,5,6,8,10,11,13],[4,5,6,9,10,11,12]]; G[2351]:=Group([(2,8,13)(3,7,14)(4,6,11)(5,9,12)]); # Design 2352: autom. group order 3, simple, residual B[2352]:=[[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],[1,2,5,7,12,13,14],[1,3,4,7,10,11,12],[1,3,5,8,11,13,14],[1,4,5,6,9,12,14],[1,4,7,8,10,11,14],[1,5,7,9,10,12,13],[1,6,7,8,9,10,14],[1,6,8,9,11,12,13],[2,3,6,9,10,12,14],[2,3,7,8,12,13,14],[2,4,5,9,10,11,13],[2,4,6,7,8,10,13],[2,4,8,9,11,12,14],[2,5,6,7,8,11,12],[2,5,7,9,10,11,14],[3,4,5,8,10,12,14],[3,4,6,7,9,13,14],[3,4,7,9,11,12,13],[3,5,6,7,8,9,11],[3,5,6,10,11,13,14],[4,5,6,8,10,12,13]]; G[2352]:=Group([(1,4,12)(2,8,13)(3,10,7)(6,14,9)]); # Design 2353: autom. group order 3, simple, residual B[2353]:=[[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],[1,2,5,7,8,10,14],[1,3,4,7,12,13,14],[1,3,5,10,11,12,14],[1,4,5,6,9,12,13],[1,4,7,8,9,11,12],[1,5,7,8,11,13,14],[1,6,7,9,10,11,13],[1,6,8,9,10,12,14],[2,3,6,8,12,13,14],[2,3,7,9,11,13,14],[2,4,5,10,11,12,13],[2,4,6,7,9,10,14],[2,4,8,9,11,12,14],[2,5,6,7,8,11,12],[2,5,7,9,10,12,13],[3,4,5,9,10,11,14],[3,4,6,7,8,10,11],[3,4,7,8,10,12,13],[3,5,6,7,9,12,14],[3,5,6,8,9,11,13],[4,5,6,8,10,13,14]]; G[2353]:=Group([(1,4,10)(2,7,11)(5,8,12)(9,13,14)]); # Design 2354: autom. group order 3, simple, residual B[2354]:=[[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],[1,2,5,7,12,13,14],[1,3,4,7,11,13,14],[1,3,5,9,10,12,14],[1,4,5,6,8,12,14],[1,4,7,8,10,11,12],[1,5,8,9,10,11,13],[1,6,7,8,9,11,14],[1,6,7,9,10,12,13],[2,3,6,7,8,10,13],[2,3,7,9,11,12,14],[2,4,5,7,9,10,11],[2,4,6,9,10,12,14],[2,4,8,11,12,13,14],[2,5,6,8,10,11,14],[2,5,7,8,9,12,13],[3,4,5,10,11,12,13],[3,4,6,8,9,12,13],[3,4,7,8,9,10,14],[3,5,6,7,8,11,12],[3,5,6,9,11,13,14],[4,5,6,7,10,13,14]]; G[2354]:=Group([(1,7,8)(3,5,13)(4,12,10)(6,9,14)]); # Design 2355: autom. group order 3, simple B[2355]:=[[1,2,3,4,5,6,7],[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],[1,2,5,11,12,13,14],[1,3,4,7,12,13,14],[1,3,5,9,10,13,14],[1,4,5,8,9,11,13],[1,4,6,9,11,12,14],[1,5,6,7,8,12,14],[1,6,7,8,9,10,11],[1,7,8,9,10,12,13],[2,3,6,8,9,12,13],[2,3,7,8,9,11,14],[2,4,5,9,10,11,12],[2,4,6,7,9,12,13],[2,4,7,8,11,13,14],[2,5,6,8,10,13,14],[2,5,7,9,10,12,14],[3,4,5,7,8,10,12],[3,4,6,9,10,13,14],[3,4,8,10,11,12,14],[3,5,6,7,9,11,14],[3,5,6,8,11,12,13],[4,5,6,7,10,11,13]]; G[2355]:=Group([(1,12,14)(2,3,8)(4,6,11)(5,13,7)]); # Design 2356: autom. group order 3, simple, residual B[2356]:=[[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],[1,2,5,8,11,12,14],[1,3,4,9,12,13,14],[1,3,5,7,9,10,12],[1,4,5,7,10,13,14],[1,4,6,8,9,11,14],[1,5,6,9,10,11,14],[1,6,7,8,10,12,13],[1,7,8,9,11,12,13],[2,3,6,9,12,13,14],[2,3,7,8,10,11,14],[2,4,5,10,11,12,13],[2,4,6,8,9,10,13],[2,4,7,9,10,12,14],[2,5,6,7,8,9,12],[2,5,7,9,11,13,14],[3,4,5,8,11,12,13],[3,4,6,7,11,12,14],[3,4,7,8,9,10,11],[3,5,6,7,8,13,14],[3,5,6,9,10,11,13],[4,5,6,8,10,12,14]]; G[2356]:=Group([(1,3,11)(2,10,6)(4,8,9)(5,7,14)]); # Design 2357: autom. group order 3, simple, residual B[2357]:=[[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],[1,2,4,6,9,10,12],[1,2,5,7,8,11,13],[1,3,4,7,10,13,14],[1,3,5,9,11,12,14],[1,4,5,7,11,12,14],[1,4,6,9,11,12,13],[1,5,6,8,9,13,14],[1,6,7,8,10,11,14],[1,7,8,9,10,12,13],[2,3,6,7,11,12,13],[2,3,7,8,9,12,14],[2,4,5,10,11,13,14],[2,4,6,7,9,13,14],[2,4,8,9,10,11,14],[2,5,6,8,12,13,14],[2,5,7,9,10,11,12],[3,4,5,8,10,12,13],[3,4,6,8,11,12,14],[3,4,7,8,9,11,13],[3,5,6,7,9,10,14],[3,5,6,9,10,11,13],[4,5,6,7,8,10,12]]; G[2357]:=Group([(1,5,10)(2,9,13)(4,6,14)(8,11,12)]); # Design 2358: autom. group order 3, simple B[2358]:=[[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],[1,2,5,7,10,12,13],[1,3,4,7,9,12,14],[1,3,5,10,11,12,14],[1,4,5,7,8,11,14],[1,4,6,8,12,13,14],[1,5,6,8,9,10,13],[1,6,7,9,10,11,14],[1,7,8,9,11,12,13],[2,3,6,8,9,12,14],[2,3,7,9,11,13,14],[2,4,5,11,12,13,14],[2,4,6,7,10,13,14],[2,4,8,9,10,11,12],[2,5,6,7,8,11,12],[2,5,7,8,9,10,14],[3,4,5,9,10,11,13],[3,4,6,7,8,10,11],[3,4,7,8,10,12,13],[3,5,6,7,9,12,13],[3,5,6,8,11,13,14],[4,5,6,9,10,12,14]]; G[2358]:=Group([(1,4,10)(2,7,11)(5,8,12)(9,13,14)]); # Design 2359: autom. group order 3, simple, residual B[2359]:=[[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],[1,2,5,7,9,12,14],[1,3,4,9,11,12,14],[1,3,5,7,10,12,13],[1,4,5,10,11,13,14],[1,4,6,7,9,10,13],[1,5,6,8,9,11,12],[1,6,7,8,12,13,14],[1,7,8,9,10,11,14],[2,3,6,7,9,13,14],[2,3,7,8,10,11,12],[2,4,5,7,10,11,14],[2,4,6,9,10,12,14],[2,4,8,9,10,12,13],[2,5,6,11,12,13,14],[2,5,7,8,9,11,13],[3,4,5,8,12,13,14],[3,4,6,7,8,11,14],[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[2359]:=Group([(1,6,14)(2,9,11)(3,10,4)(7,8,13)]); # Design 2360: autom. group order 3, simple, residual B[2360]:=[[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],[1,2,5,7,11,13,14],[1,3,4,10,12,13,14],[1,3,5,8,11,12,14],[1,4,5,7,9,10,12],[1,4,6,7,8,10,11],[1,5,6,9,12,13,14],[1,6,7,8,9,10,14],[1,7,8,9,11,12,13],[2,3,6,7,9,11,12],[2,3,7,8,10,13,14],[2,4,5,7,8,12,13],[2,4,6,8,9,12,14],[2,4,9,10,11,12,13],[2,5,6,8,10,12,14],[2,5,7,9,10,11,14],[3,4,5,9,10,11,14],[3,4,6,7,9,13,14],[3,4,7,8,11,12,14],[3,5,6,7,10,12,13],[3,5,6,8,9,11,13],[4,5,6,8,10,11,13]]; G[2360]:=Group([(1,5,10)(2,11,8)(3,14,6)(4,9,7)]); # Design 2361: autom. group order 3, simple B[2361]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,6,12,13,14],[1,2,5,8,10,13,14],[1,3,4,8,9,10,13],[1,3,5,9,11,12,14],[1,4,5,7,12,13,14],[1,4,6,9,10,11,14],[1,5,6,7,8,11,14],[1,6,7,8,9,10,12],[1,7,8,9,11,12,13],[2,3,6,7,8,9,14],[2,3,8,11,12,13,14],[2,4,5,8,9,11,12],[2,4,7,8,10,11,14],[2,4,7,9,10,12,14],[2,5,6,7,9,11,13],[2,5,6,9,10,12,13],[3,4,5,7,10,11,12],[3,4,6,7,8,12,13],[3,4,6,9,11,13,14],[3,5,6,8,10,12,14],[3,5,7,9,10,13,14],[4,5,6,8,10,11,13]]; G[2361]:=Group([(1,2,9)(3,5,8)(6,12,10)(7,11,13)]); # Design 2362: autom. group order 3, simple, residual B[2362]:=[[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],[1,2,5,7,9,11,12],[1,3,4,7,8,13,14],[1,3,5,7,10,11,14],[1,4,5,9,10,12,14],[1,4,6,9,10,11,13],[1,5,8,11,12,13,14],[1,6,7,8,9,10,13],[1,6,7,8,9,12,14],[2,3,6,9,10,12,14],[2,3,8,9,11,13,14],[2,4,5,8,10,12,13],[2,4,6,7,8,12,14],[2,4,7,9,10,11,14],[2,5,6,7,11,13,14],[2,5,7,8,9,10,13],[3,4,5,6,9,13,14],[3,4,7,8,10,11,12],[3,4,7,9,11,12,13],[3,5,6,7,10,12,13],[3,5,6,8,9,11,12],[4,5,6,8,10,11,14]]; G[2362]:=Group([(1,7,10)(2,4,12)(5,11,14)(6,8,13)]); # Design 2363: autom. group order 3, simple, residual B[2363]:=[[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],[1,2,4,6,9,11,12],[1,2,5,7,10,11,13],[1,3,4,7,11,13,14],[1,3,5,9,10,12,13],[1,4,5,7,8,12,14],[1,4,6,8,9,13,14],[1,5,8,9,10,11,14],[1,6,7,8,11,12,13],[1,6,7,9,10,12,14],[2,3,6,7,9,13,14],[2,3,8,9,11,12,14],[2,4,5,11,12,13,14],[2,4,6,8,10,12,13],[2,4,7,9,10,11,14],[2,5,6,7,8,10,14],[2,5,7,8,9,12,13],[3,4,5,6,10,12,14],[3,4,7,8,9,10,13],[3,4,7,8,10,11,12],[3,5,6,7,9,11,12],[3,5,6,8,11,13,14],[4,5,6,9,10,11,13]]; G[2363]:=Group([(1,4,10)(2,7,12)(5,8,13)(6,11,14)]); # Design 2364: autom. group order 3, simple, residual B[2364]:=[[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],[1,2,5,7,9,10,14],[1,3,4,7,9,12,14],[1,3,5,7,11,12,13],[1,4,5,8,11,13,14],[1,4,9,10,12,13,14],[1,5,6,8,9,10,13],[1,6,7,8,9,10,11],[1,6,7,8,11,12,14],[2,3,6,8,9,12,14],[2,3,7,8,10,13,14],[2,4,5,6,10,11,14],[2,4,6,7,9,11,13],[2,4,7,8,10,12,13],[2,5,7,9,11,12,13],[2,5,8,9,11,12,14],[3,4,5,8,10,11,12],[3,4,6,9,11,13,14],[3,4,7,8,9,10,11],[3,5,6,7,8,13,14],[3,5,6,9,10,12,13],[4,5,6,7,10,12,14]]; G[2364]:=Group([(1,5,14)(2,10,9)(3,6,12)(8,11,13)]); # Design 2365: autom. group order 3, simple, residual B[2365]:=[[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],[1,2,5,7,8,12,14],[1,3,4,7,9,11,14],[1,3,5,7,10,11,13],[1,4,5,10,12,13,14],[1,4,8,9,10,11,12],[1,5,6,9,11,13,14],[1,6,7,8,9,10,14],[1,6,7,8,9,12,13],[2,3,6,7,9,12,13],[2,3,8,9,10,13,14],[2,4,5,6,9,10,14],[2,4,7,8,10,11,13],[2,4,7,9,11,13,14],[2,5,6,9,10,11,12],[2,5,7,8,11,12,14],[3,4,5,8,9,12,13],[3,4,6,7,10,12,14],[3,4,6,8,11,12,14],[3,5,6,8,11,13,14],[3,5,7,9,10,11,12],[4,5,6,7,8,10,13]]; G[2365]:=Group([(2,8,12)(3,9,13)(4,6,10)(5,7,14)]); # Design 2366: autom. group order 3, simple, residual B[2366]:=[[1,2,3,4,5,6,7],[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],[1,2,5,11,12,13,14],[1,3,4,11,12,13,14],[1,3,5,7,9,10,14],[1,4,5,9,10,11,13],[1,4,7,8,10,11,14],[1,5,6,8,10,12,13],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,6,9,10,13,14],[2,3,7,8,11,13,14],[2,4,5,7,8,12,14],[2,4,6,7,9,11,13],[2,4,8,9,10,12,13],[2,5,6,7,10,11,12],[2,5,8,9,10,11,14],[3,4,5,6,8,11,13],[3,4,6,8,10,12,14],[3,4,7,9,10,11,12],[3,5,6,9,11,12,14],[3,5,7,8,9,12,13],[4,5,6,7,10,13,14]]; G[2366]:=Group([(2,6,12)(3,8,13)(4,9,14)(5,7,11)]); # Design 2367: autom. group order 3, simple B[2367]:=[[1,2,3,4,5,6,7],[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],[1,2,5,11,12,13,14],[1,3,4,11,12,13,14],[1,3,5,7,9,10,14],[1,4,5,9,10,11,13],[1,4,7,8,10,11,14],[1,5,6,8,10,12,13],[1,6,7,8,9,11,12],[1,6,7,8,9,13,14],[2,3,6,9,11,13,14],[2,3,8,9,10,11,12],[2,4,5,7,8,11,13],[2,4,6,7,10,11,14],[2,4,7,8,9,12,13],[2,5,6,8,10,13,14],[2,5,7,9,10,12,14],[3,4,5,6,8,12,14],[3,4,6,7,10,12,13],[3,4,8,9,10,13,14],[3,5,6,7,9,11,13],[3,5,7,8,11,12,14],[4,5,6,9,10,11,12]]; G[2367]:=Group([(2,6,12)(3,8,13)(4,9,14)(5,7,11)]); # Design 2368: autom. group order 3, simple, residual B[2368]:=[[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],[1,2,4,6,7,13,14],[1,2,5,8,10,12,13],[1,3,4,7,8,12,14],[1,3,5,7,9,11,13],[1,4,5,9,10,12,14],[1,4,8,10,11,13,14],[1,5,6,8,9,11,14],[1,6,7,8,9,10,12],[1,6,7,9,11,12,13],[2,3,6,8,9,11,14],[2,3,7,9,10,12,14],[2,4,5,9,11,12,13],[2,4,6,9,12,13,14],[2,4,7,8,9,10,11],[2,5,6,7,8,10,13],[2,5,7,8,11,12,14],[3,4,5,6,10,11,12],[3,4,6,8,9,10,13],[3,4,7,8,11,12,13],[3,5,6,8,12,13,14],[3,5,7,9,10,13,14],[4,5,6,7,10,11,14]]; G[2368]:=Group([(2,7,11)(3,6,13)(4,9,10)(5,12,14)]); # Design 2369: autom. group order 3, simple, residual B[2369]:=[[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],[1,2,4,8,9,10,13],[1,2,5,7,11,13,14],[1,3,4,7,8,12,14],[1,3,5,9,11,12,13],[1,4,5,6,9,10,14],[1,4,6,7,10,12,13],[1,5,6,7,8,11,12],[1,6,8,9,12,13,14],[1,7,8,9,10,11,14],[2,3,6,7,8,10,14],[2,3,7,8,9,12,13],[2,4,5,8,11,12,14],[2,4,6,7,9,11,13],[2,4,6,9,11,12,14],[2,5,6,8,10,12,13],[2,5,7,9,10,12,14],[3,4,5,10,12,13,14],[3,4,6,8,11,13,14],[3,4,7,9,10,11,12],[3,5,6,7,9,13,14],[3,5,6,8,9,10,11],[4,5,7,8,10,11,13]]; G[2369]:=Group([(1,4,11)(3,9,14)(5,6,13)(8,12,10)]); # Design 2370: autom. group order 3, simple, residual B[2370]:=[[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],[1,2,5,9,10,12,13],[1,3,4,8,11,12,14],[1,3,5,8,9,10,14],[1,4,5,7,11,13,14],[1,4,6,9,12,13,14],[1,5,6,7,9,11,12],[1,6,7,8,9,10,11],[1,6,7,8,10,13,14],[2,3,6,7,9,12,14],[2,3,7,9,11,13,14],[2,4,5,6,10,11,13],[2,4,6,8,10,12,14],[2,4,7,8,9,10,11],[2,5,6,8,9,13,14],[2,5,7,8,11,12,14],[3,4,5,6,7,10,14],[3,4,6,8,9,11,13],[3,4,7,9,10,12,13],[3,5,6,8,11,12,13],[3,5,7,8,10,12,13],[4,5,9,10,11,12,14]]; G[2370]:=Group([(1,8,11)(2,5,13)(4,12,14)(6,10,9)]); # Design 2371: autom. group order 3, simple B[2371]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,10,12,14],[1,3,4,9,11,12,14],[1,3,5,6,9,13,14],[1,4,7,8,9,11,12],[1,4,7,9,10,13,14],[1,5,6,7,11,12,13],[1,5,7,8,10,12,14],[1,6,8,9,10,11,13],[2,3,7,9,12,13,14],[2,3,8,9,10,12,13],[2,4,5,7,9,10,11],[2,4,5,10,11,13,14],[2,4,6,7,8,12,13],[2,5,6,9,11,12,14],[2,6,7,8,9,11,14],[3,4,5,8,11,12,13],[3,4,6,7,10,12,14],[3,4,6,8,10,11,14],[3,5,6,7,8,9,10],[3,5,7,8,11,13,14],[4,5,6,9,10,12,13]]; G[2371]:=Group([(1,5,10)(3,4,11)(6,9,13)(8,14,12)]); # Design 2372: autom. group order 3, simple, residual B[2372]:=[[1,2,3,4,5,6,7],[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],[1,2,5,9,11,12,13],[1,3,4,8,10,11,14],[1,3,5,6,12,13,14],[1,4,7,8,9,10,12],[1,4,7,11,12,13,14],[1,5,6,8,10,13,14],[1,5,7,9,10,11,13],[1,6,7,8,9,12,14],[2,3,7,10,11,12,14],[2,3,8,9,12,13,14],[2,4,5,7,10,13,14],[2,4,5,9,10,12,14],[2,4,6,7,8,12,13],[2,5,6,7,8,11,14],[2,6,8,9,10,11,13],[3,4,5,8,11,12,13],[3,4,6,7,9,11,13],[3,4,6,9,10,13,14],[3,5,6,7,9,10,12],[3,5,7,8,9,11,14],[4,5,6,8,10,11,12]]; G[2372]:=Group([(1,4,11)(2,8,13)(3,12,9)(6,10,7)]); # Design 2373: autom. group order 3, simple B[2373]:=[[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],[1,2,4,6,8,13,14],[1,2,5,7,10,12,13],[1,3,4,9,12,13,14],[1,3,5,11,12,13,14],[1,4,6,7,8,11,13],[1,4,6,10,11,12,14],[1,5,6,7,9,10,13],[1,5,7,8,9,12,14],[1,7,8,9,10,11,14],[2,3,6,7,9,12,14],[2,3,7,8,11,13,14],[2,4,5,7,10,11,14],[2,4,5,8,10,12,14],[2,4,7,9,11,12,13],[2,5,6,9,11,13,14],[2,6,8,9,10,12,13],[3,4,5,9,10,11,13],[3,4,6,7,9,10,14],[3,4,7,8,10,12,13],[3,5,6,7,8,11,12],[3,5,6,8,10,13,14],[4,5,6,8,9,11,12]]; G[2373]:=Group([(2,9,11)(3,8,10)(4,7,12)(5,14,6)]); # Design 2374: autom. group order 3, simple, residual B[2374]:=[[1,2,3,4,5,6,7],[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],[1,2,5,7,11,12,14],[1,3,4,9,10,11,13],[1,3,5,9,12,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,12,14],[1,5,6,7,8,9,10],[1,5,6,8,11,13,14],[1,7,8,9,11,12,13],[2,3,6,7,9,12,14],[2,3,8,10,12,13,14],[2,4,5,8,10,11,12],[2,4,5,9,10,13,14],[2,4,7,8,9,11,14],[2,5,6,8,9,12,13],[2,6,7,9,10,11,13],[3,4,5,7,11,12,13],[3,4,6,7,8,13,14],[3,4,6,8,9,11,12],[3,5,6,9,10,11,14],[3,5,7,8,10,11,14],[4,5,6,7,10,12,13]]; G[2374]:=Group([(1,5,10)(2,11,12)(3,14,4)(6,7,8)]); # Design 2375: autom. group order 3, simple, residual B[2375]:=[[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],[1,2,5,8,11,12,14],[1,3,4,7,10,11,13],[1,3,5,7,12,13,14],[1,4,6,8,10,12,14],[1,4,7,9,10,12,14],[1,5,6,7,8,9,10],[1,5,6,9,11,13,14],[1,7,8,9,11,12,13],[2,3,6,7,8,12,14],[2,3,9,10,12,13,14],[2,4,5,7,10,13,14],[2,4,5,9,10,11,12],[2,4,7,8,9,11,14],[2,5,6,7,9,12,13],[2,6,7,8,10,11,13],[3,4,5,8,11,12,13],[3,4,6,7,9,11,12],[3,4,6,8,9,13,14],[3,5,6,9,10,11,14],[3,5,7,8,10,11,14],[4,5,6,8,10,12,13]]; G[2375]:=Group([(1,5,10)(2,11,12)(3,14,4)(6,8,9)]); # Design 2376: autom. group order 3, simple, residual B[2376]:=[[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],[1,2,5,9,10,13,14],[1,3,4,7,9,11,14],[1,3,5,8,12,13,14],[1,4,6,7,8,11,13],[1,4,7,10,12,13,14],[1,5,6,7,8,10,12],[1,5,6,9,11,12,13],[1,7,8,9,10,11,14],[2,3,6,7,8,13,14],[2,3,7,9,10,12,13],[2,4,5,7,10,11,12],[2,4,5,8,10,11,14],[2,4,7,8,9,12,13],[2,5,6,7,11,13,14],[2,6,8,9,11,12,14],[3,4,5,11,12,13,14],[3,4,6,8,10,12,14],[3,4,6,9,10,11,13],[3,5,6,7,9,10,14],[3,5,7,8,9,11,12],[4,5,6,8,9,10,13]]; G[2376]:=Group([(1,5,10)(3,4,11)(6,7,12)(9,14,13)]); # Design 2377: autom. group order 3, simple B[2377]:=[[1,2,3,4,5,6,7],[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],[1,2,5,7,9,11,14],[1,3,4,10,12,13,14],[1,3,5,8,11,12,13],[1,4,6,7,8,9,12],[1,4,8,9,10,11,14],[1,5,6,9,10,12,13],[1,5,7,9,10,13,14],[1,6,7,8,11,12,14],[2,3,6,8,9,13,14],[2,3,7,9,10,12,14],[2,4,5,6,10,12,14],[2,4,5,9,11,12,13],[2,4,7,8,12,13,14],[2,5,7,8,10,11,12],[2,6,8,9,10,11,13],[3,4,5,8,10,11,14],[3,4,6,7,9,10,11],[3,4,7,9,11,12,13],[3,5,6,7,11,13,14],[3,5,6,8,9,12,14],[4,5,6,7,8,10,13]]; G[2377]:=Group([(1,4,8)(2,10,12)(3,14,7)(5,11,6)]); # Design 2378: autom. group order 3, simple B[2378]:=[[1,2,3,4,5,6,7],[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],[1,2,5,9,10,12,14],[1,3,4,7,11,13,14],[1,3,5,8,11,12,13],[1,4,6,8,9,10,14],[1,4,7,9,10,11,12],[1,5,6,7,9,13,14],[1,5,7,8,10,11,14],[1,6,8,9,11,12,13],[2,3,6,7,9,11,14],[2,3,8,9,10,13,14],[2,4,5,6,10,11,12],[2,4,5,8,11,13,14],[2,4,7,8,9,12,13],[2,5,7,9,10,11,13],[2,6,7,8,11,12,14],[3,4,5,9,11,12,14],[3,4,6,9,10,11,13],[3,4,7,8,10,12,14],[3,5,6,7,8,9,12],[3,5,6,10,12,13,14],[4,5,6,7,8,10,13]]; G[2378]:=Group([(1,2,11)(3,6,8)(4,14,13)(5,7,12)]); # Design 2379: autom. group order 3, simple, residual B[2379]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,6,8,11,14],[1,2,5,9,10,12,13],[1,3,4,9,12,13,14],[1,3,5,7,11,13,14],[1,4,6,8,10,13,14],[1,4,7,9,10,11,13],[1,5,6,7,9,12,14],[1,5,8,10,11,12,14],[1,6,7,8,9,11,12],[2,3,6,9,10,11,14],[2,3,7,8,9,12,14],[2,4,5,6,12,13,14],[2,4,5,7,10,11,12],[2,4,8,9,11,12,13],[2,5,7,8,11,13,14],[2,6,7,9,10,13,14],[3,4,5,9,10,11,14],[3,4,6,7,11,12,13],[3,4,7,8,10,12,14],[3,5,6,8,9,11,13],[3,5,6,8,10,12,13],[4,5,6,7,8,9,10]]; G[2379]:=Group([(1,5,7)(2,11,9)(3,14,6)(4,13,12)]); # Design 2380: autom. group order 3, simple, residual B[2380]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,6,8,12,14],[1,2,5,8,10,13,14],[1,3,4,9,10,13,14],[1,3,5,9,11,12,14],[1,4,6,9,11,12,13],[1,4,7,8,11,13,14],[1,5,6,7,10,12,14],[1,5,7,8,9,12,13],[1,6,7,8,9,10,11],[2,3,6,7,8,9,13],[2,3,8,9,11,12,14],[2,4,5,6,11,13,14],[2,4,5,7,9,10,12],[2,4,7,9,10,11,14],[2,5,8,10,11,12,13],[2,6,7,9,12,13,14],[3,4,5,7,11,12,13],[3,4,6,8,10,12,13],[3,4,7,8,10,12,14],[3,5,6,7,8,11,14],[3,5,6,9,10,13,14],[4,5,6,8,9,10,11]]; G[2380]:=Group([(1,7,14)(2,9,3)(4,13,11)(5,6,12)]); # Design 2381: autom. group order 3, simple, residual B[2381]:=[[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],[1,2,5,10,11,12,14],[1,3,4,9,11,13,14],[1,3,5,7,10,12,13],[1,4,6,7,9,11,12],[1,4,7,8,10,11,14],[1,5,6,8,11,13,14],[1,5,7,8,9,12,14],[1,6,7,8,9,10,13],[2,3,6,7,11,12,14],[2,3,7,8,9,11,13],[2,4,5,6,8,13,14],[2,4,5,7,9,10,11],[2,4,8,9,10,12,14],[2,5,7,8,11,12,13],[2,6,7,9,10,13,14],[3,4,5,7,10,13,14],[3,4,6,7,8,12,14],[3,4,8,10,11,12,13],[3,5,6,8,9,10,12],[3,5,6,9,10,11,14],[4,5,6,9,11,12,13]]; G[2381]:=Group([(1,8,12)(2,11,4)(3,13,6)(5,7,9)]); # Design 2382: autom. group order 3, simple, residual B[2382]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,11,13,14],[1,3,4,7,11,12,14],[1,3,5,9,11,12,13],[1,4,6,10,11,13,14],[1,4,7,8,9,10,11],[1,5,6,8,9,10,12],[1,5,7,10,12,13,14],[1,6,7,8,9,12,14],[2,3,6,8,12,13,14],[2,3,7,9,10,11,14],[2,4,5,7,10,12,13],[2,4,5,9,11,12,14],[2,4,6,8,10,11,12],[2,5,6,7,9,10,14],[2,7,8,9,11,12,13],[3,4,5,8,10,12,14],[3,4,6,7,9,12,13],[3,4,8,9,10,13,14],[3,5,6,7,8,11,14],[3,5,6,9,10,11,13],[4,5,6,7,8,11,13]]; G[2382]:=Group([(1,3,14)(2,8,13)(5,10,6)(7,12,11)]); # Design 2383: autom. group order 3, simple, residual B[2383]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,10,12,14],[1,3,4,9,11,12,14],[1,3,5,7,9,13,14],[1,4,6,9,10,13,14],[1,4,7,8,11,12,13],[1,5,6,9,11,12,13],[1,5,7,8,10,12,14],[1,6,7,8,9,10,11],[2,3,6,7,12,13,14],[2,3,8,9,10,12,13],[2,4,5,7,9,10,11],[2,4,5,10,11,13,14],[2,4,6,7,8,9,12],[2,5,6,9,11,12,14],[2,7,8,9,11,13,14],[3,4,5,8,11,12,13],[3,4,6,8,10,11,14],[3,4,7,9,10,12,14],[3,5,6,7,8,11,14],[3,5,6,8,9,10,13],[4,5,6,7,10,12,13]]; G[2383]:=Group([(1,5,10)(3,4,11)(6,9,13)(8,14,12)]); # Design 2384: autom. group order 3, simple, residual B[2384]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,6,8,12,13],[1,2,5,8,10,12,14],[1,3,4,9,11,12,14],[1,3,5,7,9,13,14],[1,4,6,9,10,13,14],[1,4,7,8,11,13,14],[1,5,6,9,11,12,13],[1,5,7,8,10,12,14],[1,6,7,8,9,10,11],[2,3,6,7,8,13,14],[2,3,9,10,12,13,14],[2,4,5,7,9,10,11],[2,4,5,10,11,13,14],[2,4,6,7,9,12,14],[2,5,6,8,9,11,14],[2,7,8,9,11,12,13],[3,4,5,8,11,12,13],[3,4,6,8,10,11,14],[3,4,7,8,9,10,12],[3,5,6,7,11,12,14],[3,5,6,8,9,10,13],[4,5,6,7,10,12,13]]; G[2384]:=Group([(1,5,10)(3,4,11)(6,9,13)(8,14,12)]); # Design 2385: autom. group order 3, simple, residual B[2385]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,6,8,12,14],[1,2,5,9,10,12,14],[1,3,4,9,11,12,13],[1,3,5,7,8,13,14],[1,4,6,8,10,13,14],[1,4,7,9,11,13,14],[1,5,6,8,11,12,13],[1,5,7,9,10,12,14],[1,6,7,8,9,10,11],[2,3,6,9,10,13,14],[2,3,7,8,12,13,14],[2,4,5,7,8,10,11],[2,4,5,10,11,13,14],[2,4,6,7,9,12,13],[2,5,8,9,11,12,13],[2,6,7,8,9,11,14],[3,4,5,6,9,11,14],[3,4,7,8,9,10,12],[3,4,8,10,11,12,14],[3,5,6,7,11,12,14],[3,5,6,8,9,10,13],[4,5,6,7,10,12,13]]; G[2385]:=Group([(1,5,10)(3,4,11)(6,8,13)(9,14,12)]); # Design 2386: autom. group order 3, simple B[2386]:=[[1,2,3,4,5,6,7],[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],[1,2,5,9,11,12,14],[1,3,4,8,11,12,14],[1,3,5,7,10,12,13],[1,4,6,9,10,13,14],[1,4,7,8,10,11,14],[1,5,6,8,9,10,14],[1,5,7,9,11,12,13],[1,6,7,8,9,11,13],[2,3,6,8,9,11,13],[2,3,7,9,10,11,14],[2,4,5,7,9,13,14],[2,4,5,8,10,11,13],[2,4,7,8,9,10,12],[2,5,6,10,11,12,14],[2,6,7,8,12,13,14],[3,4,5,6,11,13,14],[3,4,6,7,9,12,14],[3,4,9,10,11,12,13],[3,5,6,8,9,10,12],[3,5,7,8,10,13,14],[4,5,6,7,8,11,12]]; G[2386]:=Group([(2,8,10)(3,14,6)(5,11,13)(7,12,9)]); # Design 2387: autom. group order 3, simple, residual B[2387]:=[[1,2,3,4,5,6,7],[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],[1,2,5,9,11,12,14],[1,3,4,8,11,12,14],[1,3,5,7,10,12,13],[1,4,6,9,10,11,13],[1,4,7,8,10,11,14],[1,5,6,7,9,10,14],[1,5,8,9,11,12,13],[1,6,7,8,9,13,14],[2,3,6,8,9,13,14],[2,3,7,9,10,11,14],[2,4,5,7,9,11,13],[2,4,5,8,10,13,14],[2,4,7,8,9,10,12],[2,5,6,10,11,12,14],[2,6,7,8,11,12,13],[3,4,5,6,11,13,14],[3,4,6,7,9,11,12],[3,4,9,10,12,13,14],[3,5,6,8,9,10,12],[3,5,7,8,10,11,13],[4,5,6,7,8,12,14]]; G[2387]:=Group([(2,8,10)(3,11,6)(5,14,13)(7,12,9)]); # Design 2388: autom. group order 3, simple, residual B[2388]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,6,8,12,13],[1,2,5,8,10,12,14],[1,3,4,8,11,13,14],[1,3,5,7,9,13,14],[1,4,6,9,10,13,14],[1,4,7,9,11,12,14],[1,5,6,9,11,12,13],[1,5,7,8,10,12,14],[1,6,7,8,9,10,11],[2,3,6,7,9,12,14],[2,3,9,10,12,13,14],[2,4,5,7,9,10,11],[2,4,5,10,11,13,14],[2,4,7,8,9,12,13],[2,5,6,8,9,11,14],[2,6,7,8,11,13,14],[3,4,5,6,11,12,14],[3,4,6,7,8,10,14],[3,4,8,9,10,11,12],[3,5,6,8,9,10,13],[3,5,7,8,11,12,13],[4,5,6,7,10,12,13]]; G[2388]:=Group([(1,5,10)(3,4,11)(6,9,13)(8,14,12)]); # Design 2389: autom. group order 3, simple, residual B[2389]:=[[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],[1,2,4,6,11,12,13],[1,2,5,9,10,13,14],[1,3,4,7,11,13,14],[1,3,5,7,8,12,13],[1,4,6,7,8,9,10],[1,4,8,9,11,12,14],[1,5,6,7,9,11,14],[1,5,9,10,11,12,13],[1,6,7,8,10,12,14],[2,3,6,8,9,12,14],[2,3,7,9,10,11,14],[2,4,5,7,9,10,12],[2,4,5,8,11,12,14],[2,4,7,8,10,11,13],[2,5,6,7,12,13,14],[2,6,7,8,9,11,13],[3,4,5,6,10,11,14],[3,4,6,9,10,12,13],[3,4,7,9,12,13,14],[3,5,6,8,9,11,13],[3,5,7,8,10,11,12],[4,5,6,8,10,13,14]]; G[2389]:=Group([(1,4,8)(2,14,7)(3,11,10)(5,12,6)]); # Design 2390: autom. group order 3, simple, residual B[2390]:=[[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],[1,3,4,7,10,12,13],[1,3,5,8,11,13,14],[1,4,7,8,10,11,14],[1,4,7,9,11,12,14],[1,5,6,7,8,9,10],[1,5,6,7,12,13,14],[1,6,8,9,10,12,13],[2,3,6,7,8,11,12],[2,3,7,9,10,12,14],[2,4,5,7,10,11,13],[2,4,5,8,10,12,14],[2,4,6,9,10,13,14],[2,5,7,8,9,12,13],[2,6,7,8,11,13,14],[3,4,5,6,12,13,14],[3,4,6,7,8,9,14],[3,4,8,9,11,12,13],[3,5,6,9,10,11,14],[3,5,7,9,10,11,13],[4,5,6,8,10,11,12]]; G[2390]:=Group([(1,5,6)(2,14,10)(3,12,9)(4,13,8)]); # Design 2391: autom. group order 3, simple B[2391]:=[[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],[1,2,4,9,10,13,14],[1,2,5,7,12,13,14],[1,3,4,6,12,13,14],[1,3,5,7,9,11,13],[1,4,6,7,8,10,12],[1,4,6,8,9,11,14],[1,5,6,7,8,11,14],[1,5,8,9,10,12,13],[1,7,9,10,11,12,14],[2,3,6,7,9,10,14],[2,3,7,8,9,12,14],[2,4,5,7,10,11,12],[2,4,5,8,10,11,14],[2,4,6,9,11,12,13],[2,5,6,8,12,13,14],[2,6,7,8,9,11,13],[3,4,5,9,11,12,14],[3,4,7,8,10,13,14],[3,4,7,8,11,12,13],[3,5,6,8,9,10,12],[3,5,6,10,11,13,14],[4,5,6,7,9,10,13]]; G[2391]:=Group([(1,4,10)(3,5,11)(6,7,12)(9,14,13)]); # Design 2392: autom. group order 3, simple, residual B[2392]:=[[1,2,3,4,5,6,7],[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],[1,2,5,9,11,12,13],[1,3,4,6,8,13,14],[1,3,5,9,10,12,14],[1,4,6,7,9,11,13],[1,4,7,10,11,12,14],[1,5,6,7,8,10,12],[1,5,7,8,9,11,14],[1,6,8,9,12,13,14],[2,3,6,8,11,12,14],[2,3,7,8,9,12,13],[2,4,5,6,9,10,14],[2,4,5,11,12,13,14],[2,4,6,7,9,12,14],[2,5,7,8,10,13,14],[2,6,7,8,9,10,11],[3,4,5,7,8,11,12],[3,4,7,9,10,12,13],[3,4,8,9,10,11,14],[3,5,6,7,11,13,14],[3,5,6,9,10,11,13],[4,5,6,8,10,12,13]]; G[2392]:=Group([(1,9,10)(2,13,6)(3,12,5)(4,7,8)]); # Design 2393: autom. group order 3, simple, residual B[2393]:=[[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],[1,2,4,7,9,11,13],[1,2,5,7,12,13,14],[1,3,4,6,11,13,14],[1,3,5,9,10,12,14],[1,4,6,8,10,12,13],[1,4,7,9,10,12,14],[1,5,6,7,8,11,14],[1,5,8,9,11,12,13],[1,6,7,8,9,10,11],[2,3,6,7,9,12,13],[2,3,7,8,10,11,14],[2,4,5,6,8,10,12],[2,4,5,9,10,11,14],[2,4,8,11,12,13,14],[2,5,6,9,10,11,13],[2,6,7,8,9,12,14],[3,4,5,7,8,11,12],[3,4,6,9,11,12,14],[3,4,7,8,9,10,13],[3,5,6,8,9,13,14],[3,5,7,10,11,12,13],[4,5,6,7,10,13,14]]; G[2393]:=Group([(2,11,12)(3,6,10)(4,8,14)(5,7,9)]); # Design 2394: autom. group order 3, simple, residual B[2394]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,11,12,13],[1,3,4,6,9,12,14],[1,3,7,9,11,13,14],[1,4,5,7,10,11,14],[1,4,5,9,10,11,13],[1,5,7,8,10,12,14],[1,6,7,8,9,11,12],[1,6,8,9,10,13,14],[2,3,5,9,10,13,14],[2,3,7,9,10,11,12],[2,4,6,7,10,11,14],[2,4,7,8,9,11,13],[2,4,8,9,10,12,14],[2,5,6,7,8,13,14],[2,5,6,9,11,12,14],[3,4,5,8,11,12,14],[3,4,6,8,11,13,14],[3,4,7,8,10,12,13],[3,5,6,7,8,9,10],[3,5,6,10,11,12,13],[4,5,6,7,9,12,13]]; G[2394]:=Group([(1,4,14)(2,8,13)(5,11,7)(6,12,9)]); # Design 2395: autom. group order 3, simple, residual B[2395]:=[[1,2,3,4,5,6,7],[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],[1,2,5,7,10,12,14],[1,3,4,9,11,12,13],[1,3,8,10,11,12,14],[1,4,5,6,8,11,14],[1,4,5,9,10,13,14],[1,5,7,8,9,11,12],[1,6,7,8,9,13,14],[1,6,7,9,10,11,13],[2,3,5,9,10,11,13],[2,3,6,8,9,13,14],[2,4,6,7,9,11,12],[2,4,7,8,9,10,14],[2,4,8,11,12,13,14],[2,5,6,9,11,12,14],[2,5,7,8,10,11,13],[3,4,5,7,11,13,14],[3,4,6,7,10,11,14],[3,4,7,8,9,10,12],[3,5,6,7,8,12,13],[3,5,6,9,10,12,14],[4,5,6,8,10,12,13]]; G[2395]:=Group([(1,4,11)(2,7,10)(5,14,8)(9,13,12)]); # Design 2396: autom. group order 3, simple B[2396]:=[[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],[1,2,4,6,10,11,12],[1,2,5,8,11,13,14],[1,3,4,9,10,12,13],[1,3,7,9,10,11,14],[1,4,5,6,9,13,14],[1,4,5,7,11,12,14],[1,5,7,8,10,12,13],[1,6,7,8,9,11,13],[1,6,8,9,10,12,14],[2,3,5,9,10,11,13],[2,3,6,8,12,13,14],[2,4,7,8,9,12,13],[2,4,7,8,10,11,14],[2,4,7,9,10,13,14],[2,5,6,7,9,12,14],[2,5,6,9,10,11,12],[3,4,5,8,10,12,14],[3,4,6,7,11,12,13],[3,4,6,8,9,11,14],[3,5,6,7,10,13,14],[3,5,7,8,9,11,12],[4,5,6,8,10,11,13]]; G[2396]:=Group([(1,7,13)(3,4,14)(5,10,12)(6,9,11)]); # Design 2397: autom. group order 3, simple, residual B[2397]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,6,9,11,13],[1,2,5,10,12,13,14],[1,3,4,9,11,12,14],[1,3,7,9,10,11,14],[1,4,5,7,11,13,14],[1,4,5,8,10,12,14],[1,5,6,8,9,10,13],[1,6,7,8,9,12,14],[1,6,7,8,11,12,13],[2,3,5,6,7,12,14],[2,3,8,9,12,13,14],[2,4,6,8,10,11,14],[2,4,7,8,10,11,12],[2,4,7,9,10,13,14],[2,5,6,8,9,11,14],[2,5,7,9,11,12,13],[3,4,5,8,11,12,13],[3,4,6,7,8,13,14],[3,4,6,9,10,12,13],[3,5,6,10,11,13,14],[3,5,7,8,9,10,11],[4,5,6,7,9,10,12]]; G[2397]:=Group([(1,6,10)(2,11,3)(4,14,7)(5,8,9)]); # Design 2398: autom. group order 3, simple, residual B[2398]:=[[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],[1,2,4,11,12,13,14],[1,2,5,6,9,11,13],[1,3,4,7,10,12,14],[1,3,7,8,9,11,12],[1,4,5,6,8,10,12],[1,4,5,7,9,13,14],[1,5,8,11,12,13,14],[1,6,7,8,9,10,13],[1,6,7,9,10,11,14],[2,3,5,9,10,11,14],[2,3,6,7,8,13,14],[2,4,6,9,10,12,13],[2,4,7,8,9,11,12],[2,4,7,8,10,11,13],[2,5,6,7,8,12,14],[2,5,7,9,10,12,14],[3,4,5,7,10,11,13],[3,4,6,8,9,11,14],[3,4,6,9,12,13,14],[3,5,6,7,11,12,13],[3,5,8,9,10,12,13],[4,5,6,8,10,11,14]]; G[2398]:=Group([(2,6,11)(3,10,12)(4,7,14)(5,9,13)]); # Design 2399: autom. group order 3, simple B[2399]:=[[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],[1,2,4,11,12,13,14],[1,2,5,6,9,11,13],[1,3,4,7,10,12,14],[1,3,7,8,9,11,12],[1,4,5,6,8,10,12],[1,4,5,7,9,13,14],[1,5,8,11,12,13,14],[1,6,7,8,9,10,13],[1,6,7,9,10,11,14],[2,3,5,9,10,11,14],[2,3,7,8,9,12,13],[2,4,6,7,8,11,14],[2,4,6,9,10,12,13],[2,4,7,8,10,11,13],[2,5,6,7,8,12,14],[2,5,7,9,10,12,14],[3,4,5,7,10,11,13],[3,4,6,8,9,11,14],[3,4,6,9,12,13,14],[3,5,6,7,11,12,13],[3,5,6,8,10,13,14],[4,5,8,9,10,11,12]]; G[2399]:=Group([(2,6,11)(3,10,12)(4,7,14)(5,9,13)]); # Design 2400: autom. group order 3, simple, residual B[2400]:=[[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],[1,2,5,8,10,13,14],[1,3,4,8,11,13,14],[1,3,6,7,10,12,14],[1,4,5,7,9,10,13],[1,4,6,8,9,11,12],[1,5,6,9,12,13,14],[1,5,7,8,11,12,13],[1,6,7,8,10,11,14],[2,3,5,7,11,12,14],[2,3,6,8,9,13,14],[2,4,5,8,10,11,12],[2,4,6,11,12,13,14],[2,4,7,8,9,10,14],[2,5,6,7,9,11,13],[2,6,7,8,10,12,13],[3,4,5,10,12,13,14],[3,4,6,7,10,11,13],[3,4,7,8,9,12,13],[3,5,6,8,9,10,12],[3,5,7,8,9,11,14],[4,5,6,9,10,11,14]]; G[2400]:=Group([(1,2,3)(4,5,6)(9,11,10)]); # Design 2401: autom. group order 3, simple, residual B[2401]:=[[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],[1,2,4,8,9,12,13],[1,2,5,7,10,13,14],[1,3,4,8,10,13,14],[1,3,6,8,11,12,14],[1,4,5,9,11,13,14],[1,4,6,9,10,12,14],[1,5,6,7,11,12,13],[1,5,7,8,9,12,14],[1,6,7,8,10,11,13],[2,3,5,11,12,13,14],[2,3,7,8,9,13,14],[2,4,5,8,10,11,12],[2,4,6,7,9,12,13],[2,4,6,10,11,13,14],[2,5,6,8,9,11,14],[2,6,7,8,10,12,14],[3,4,5,7,10,12,14],[3,4,6,7,9,11,14],[3,4,7,8,11,12,13],[3,5,6,8,9,10,13],[3,5,6,9,10,12,13],[4,5,7,8,9,10,11]]; G[2401]:=Group([(1,5,9)(2,6,10)(4,13,11)(7,8,12)]); # Design 2402: autom. group order 3, simple, residual B[2402]:=[[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],[1,2,4,6,12,13,14],[1,2,5,7,8,11,12],[1,3,4,6,9,11,13],[1,3,7,8,10,12,13],[1,4,5,10,11,12,14],[1,4,7,8,9,10,14],[1,5,6,7,9,10,14],[1,5,8,9,11,13,14],[1,6,7,9,11,12,13],[2,3,5,9,10,13,14],[2,3,7,9,11,12,14],[2,4,5,7,9,12,13],[2,4,6,7,10,11,14],[2,4,8,9,10,11,12],[2,5,6,8,11,13,14],[2,6,7,8,9,10,13],[3,4,5,7,10,11,13],[3,4,6,8,9,12,14],[3,4,7,8,11,13,14],[3,5,6,7,8,12,14],[3,5,6,9,10,11,12],[4,5,6,8,10,12,13]]; G[2402]:=Group([(1,3,14)(2,12,10)(4,8,9)(5,6,7)]); # Design 2403: autom. group order 3, simple, residual B[2403]:=[[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],[1,2,5,7,11,13,14],[1,3,4,6,11,13,14],[1,3,7,8,9,13,14],[1,4,5,10,11,12,13],[1,4,7,8,9,11,12],[1,5,6,8,9,12,13],[1,5,7,8,10,12,14],[1,6,7,9,10,11,14],[2,3,5,9,11,12,14],[2,3,7,8,10,11,12],[2,4,5,7,9,10,14],[2,4,6,7,9,12,13],[2,4,8,11,12,13,14],[2,5,6,7,8,11,13],[2,6,8,9,10,13,14],[3,4,5,8,10,13,14],[3,4,6,7,8,12,14],[3,4,7,9,10,11,13],[3,5,6,7,10,12,13],[3,5,6,9,11,12,14],[4,5,6,8,9,10,11]]; G[2403]:=Group([(1,7,8)(3,5,11)(4,13,10)(9,14,12)]); # Design 2404: autom. group order 3, simple, residual B[2404]:=[[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],[1,2,5,9,11,12,14],[1,3,4,6,7,11,14],[1,3,7,8,10,12,13],[1,4,5,7,10,13,14],[1,4,8,9,11,12,13],[1,5,6,8,10,12,14],[1,5,7,8,9,10,11],[1,6,7,9,11,13,14],[2,3,5,7,11,12,13],[2,3,7,8,9,13,14],[2,4,5,10,11,13,14],[2,4,6,8,10,11,13],[2,4,7,8,9,10,14],[2,5,6,7,9,10,12],[2,6,7,8,11,12,14],[3,4,5,8,11,12,14],[3,4,6,9,10,12,14],[3,4,7,9,10,11,12],[3,5,6,8,9,13,14],[3,5,6,9,10,11,13],[4,5,6,7,8,12,13]]; G[2404]:=Group([(1,9,10)(2,6,14)(3,13,4)(7,8,11)]); # Design 2405: autom. group order 3, simple, residual B[2405]:=[[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],[1,2,5,9,10,12,13],[1,3,4,6,9,12,14],[1,3,7,9,10,11,14],[1,4,5,7,8,11,12],[1,4,7,8,9,10,13],[1,5,6,7,8,13,14],[1,5,8,10,11,12,14],[1,6,7,9,11,12,13],[2,3,5,7,9,11,13],[2,3,7,8,12,13,14],[2,4,5,11,12,13,14],[2,4,6,7,8,10,12],[2,4,7,9,10,12,14],[2,5,6,8,9,10,11],[2,6,7,8,9,11,14],[3,4,5,7,10,11,14],[3,4,6,8,10,11,13],[3,4,8,9,11,12,13],[3,5,6,7,10,12,13],[3,5,6,8,9,12,14],[4,5,6,9,10,13,14]]; G[2405]:=Group([(1,6,10)(2,11,3)(4,8,14)(5,9,7)]); # Design 2406: autom. group order 3, simple, residual B[2406]:=[[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],[1,2,5,10,11,12,14],[1,3,4,6,11,13,14],[1,3,7,8,9,11,13],[1,4,5,7,9,10,11],[1,4,8,9,10,12,14],[1,5,6,7,8,12,14],[1,5,7,8,11,12,13],[1,6,7,9,10,13,14],[2,3,5,7,10,12,13],[2,3,7,9,11,12,14],[2,4,5,8,9,13,14],[2,4,6,7,9,11,12],[2,4,7,8,10,11,14],[2,5,6,8,11,13,14],[2,6,7,8,9,10,13],[3,4,5,7,10,13,14],[3,4,6,7,8,12,14],[3,4,8,10,11,12,13],[3,5,6,8,9,10,12],[3,5,6,9,10,11,14],[4,5,6,9,11,12,13]]; G[2406]:=Group([(1,4,11)(2,12,8)(3,6,13)(5,9,7)]); # Design 2407: autom. group order 3, simple, residual B[2407]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,4,6,10,12,14],[1,2,5,11,12,13,14],[1,3,4,9,11,13,14],[1,3,6,7,9,13,14],[1,4,5,8,11,12,13],[1,4,6,9,10,11,12],[1,5,6,7,8,11,14],[1,5,7,8,9,10,13],[1,7,8,9,10,12,14],[2,3,5,7,9,11,12],[2,3,8,10,11,13,14],[2,4,5,9,10,13,14],[2,4,6,7,8,13,14],[2,4,7,8,9,10,11],[2,5,6,8,9,12,14],[2,6,7,9,11,12,13],[3,4,5,7,10,12,14],[3,4,6,8,9,12,13],[3,4,7,8,11,12,14],[3,5,6,8,10,12,13],[3,5,6,9,10,11,14],[4,5,6,7,10,11,13]]; G[2407]:=Group([(1,3,12)(2,7,10)(5,14,6)(8,11,9)]); # Design 2408: autom. group order 3, simple, residual B[2408]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,4,6,10,12,14],[1,2,5,9,12,13,14],[1,3,4,9,11,13,14],[1,3,6,7,8,13,14],[1,4,5,8,11,12,13],[1,4,6,9,10,11,12],[1,5,6,7,9,11,14],[1,5,7,8,10,11,13],[1,7,8,9,10,12,14],[2,3,5,7,9,11,12],[2,3,9,10,11,13,14],[2,4,5,8,10,13,14],[2,4,6,7,11,13,14],[2,4,7,8,9,10,11],[2,5,6,8,11,12,14],[2,6,7,8,9,12,13],[3,4,5,7,10,12,14],[3,4,6,8,9,12,13],[3,4,7,8,11,12,14],[3,5,6,8,9,10,14],[3,5,6,10,11,12,13],[4,5,6,7,9,10,13]]; G[2408]:=Group([(1,3,12)(2,7,10)(5,14,6)(8,11,9)]); # Design 2409: autom. group order 3, simple, residual B[2409]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,4,6,10,12,14],[1,2,5,11,12,13,14],[1,3,4,8,11,13,14],[1,3,6,7,9,13,14],[1,4,5,8,9,12,13],[1,4,6,9,10,11,12],[1,5,6,7,9,11,14],[1,5,7,8,10,11,13],[1,7,8,9,10,12,14],[2,3,5,7,9,11,12],[2,3,9,10,11,13,14],[2,4,5,9,10,13,14],[2,4,6,7,8,13,14],[2,4,7,8,9,10,11],[2,5,6,8,11,12,14],[2,6,7,8,9,12,13],[3,4,5,7,10,12,14],[3,4,6,9,11,12,13],[3,4,7,8,11,12,14],[3,5,6,8,9,10,14],[3,5,6,8,10,12,13],[4,5,6,7,10,11,13]]; G[2409]:=Group([(1,3,12)(2,7,10)(5,14,6)(8,11,9)]); # Design 2410: autom. group order 3, simple, residual B[2410]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,4,6,10,12,14],[1,2,5,11,12,13,14],[1,3,4,8,11,13,14],[1,3,6,7,9,13,14],[1,4,5,8,9,12,13],[1,4,6,9,10,11,12],[1,5,6,7,8,11,14],[1,5,7,9,10,11,13],[1,7,8,9,10,12,14],[2,3,5,7,9,11,12],[2,3,8,9,10,13,14],[2,4,5,10,11,13,14],[2,4,6,7,9,13,14],[2,4,7,8,9,10,11],[2,5,6,8,9,12,14],[2,6,7,8,11,12,13],[3,4,5,7,10,12,14],[3,4,6,9,11,12,13],[3,4,7,8,11,12,14],[3,5,6,8,10,12,13],[3,5,6,9,10,11,14],[4,5,6,7,8,10,13]]; G[2410]:=Group([(1,3,12)(2,7,10)(5,14,6)(8,11,9)]); # Design 2411: autom. group order 3, simple B[2411]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,4,6,10,12,14],[1,2,5,8,12,13,14],[1,3,4,9,11,13,14],[1,3,6,7,11,13,14],[1,4,5,8,11,12,13],[1,4,6,9,10,11,12],[1,5,6,7,8,9,14],[1,5,7,9,10,11,13],[1,7,8,9,10,12,14],[2,3,5,7,9,11,12],[2,3,8,9,10,13,14],[2,4,5,10,11,13,14],[2,4,6,7,9,13,14],[2,4,7,8,9,10,11],[2,5,6,9,11,12,14],[2,6,7,8,11,12,13],[3,4,5,7,10,12,14],[3,4,6,8,9,12,13],[3,4,7,8,11,12,14],[3,5,6,8,10,11,14],[3,5,6,9,10,12,13],[4,5,6,7,8,10,13]]; G[2411]:=Group([(1,3,12)(2,7,10)(5,14,6)(8,11,9)]); # Design 2412: autom. group order 3, simple, residual B[2412]:=[[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],[1,2,5,8,9,12,13],[1,3,4,7,9,12,14],[1,3,6,7,9,11,13],[1,4,5,7,10,11,12],[1,4,6,8,10,12,14],[1,5,6,7,8,10,13],[1,5,9,10,11,13,14],[1,7,8,9,11,12,14],[2,3,5,10,11,12,14],[2,3,7,8,11,12,13],[2,4,5,7,12,13,14],[2,4,6,8,9,11,14],[2,4,7,9,10,11,13],[2,5,6,7,9,10,14],[2,6,7,8,9,10,12],[3,4,5,8,9,10,11],[3,4,6,9,10,12,13],[3,4,7,8,10,13,14],[3,5,6,7,8,11,14],[3,5,6,9,12,13,14],[4,5,6,8,11,12,13]]; G[2412]:=Group([(1,4,8)(2,3,9)(6,10,12)(7,11,13)]); # Design 2413: autom. group order 3, simple, residual B[2413]:=[[1,2,3,4,5,6,7],[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],[1,2,5,9,10,13,14],[1,3,4,8,10,12,14],[1,3,6,7,9,13,14],[1,4,5,7,10,11,12],[1,4,7,9,11,12,13],[1,5,6,8,9,12,14],[1,5,6,8,11,12,13],[1,7,8,9,10,11,14],[2,3,5,7,11,12,14],[2,3,8,9,11,12,13],[2,4,5,8,11,13,14],[2,4,6,7,9,12,14],[2,4,6,8,9,10,12],[2,5,7,9,10,12,13],[2,6,7,8,10,11,14],[3,4,5,9,10,11,14],[3,4,6,9,10,11,13],[3,4,7,8,12,13,14],[3,5,6,7,8,9,11],[3,5,6,10,12,13,14],[4,5,6,7,8,10,13]]; G[2413]:=Group([(1,9,14)(2,11,12)(5,10,8)(6,13,7)]); # Design 2414: autom. group order 3, simple, residual B[2414]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,12,13,14],[1,3,4,10,11,12,14],[1,3,6,7,8,9,14],[1,4,5,9,10,12,13],[1,4,7,8,11,12,13],[1,5,6,7,9,10,13],[1,5,6,9,11,12,14],[1,7,8,9,10,11,14],[2,3,5,7,9,11,12],[2,3,8,9,10,11,13],[2,4,5,7,10,11,14],[2,4,6,9,10,13,14],[2,4,7,8,9,12,14],[2,5,6,8,10,12,14],[2,6,7,9,11,12,13],[3,4,5,9,11,13,14],[3,4,6,7,12,13,14],[3,4,6,8,9,10,12],[3,5,6,8,11,13,14],[3,5,7,8,10,12,13],[4,5,6,7,8,10,11]]; G[2414]:=Group([(1,5,11)(2,7,8)(3,10,13)(9,14,12)]); # Design 2415: autom. group order 3, simple, residual B[2415]:=[[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],[1,2,5,7,11,12,14],[1,3,4,9,11,13,14],[1,3,6,7,8,12,14],[1,4,5,7,10,11,13],[1,4,7,8,9,10,11],[1,5,6,7,9,13,14],[1,5,8,10,12,13,14],[1,6,8,9,11,12,13],[2,3,5,10,11,13,14],[2,3,7,8,9,13,14],[2,4,5,6,9,12,13],[2,4,6,8,11,13,14],[2,4,7,8,10,12,13],[2,5,7,8,9,11,12],[2,6,7,9,10,11,14],[3,4,5,8,11,12,14],[3,4,6,7,11,12,13],[3,4,7,9,10,12,14],[3,5,6,7,8,10,13],[3,5,6,9,10,11,12],[4,5,6,8,9,10,14]]; G[2415]:=Group([(1,5,7)(2,11,4)(3,12,10)(6,14,13)]); # Design 2416: autom. group order 3, simple, residual B[2416]:=[[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],[1,2,5,9,10,12,13],[1,3,4,7,9,10,14],[1,3,6,7,8,11,12],[1,4,5,7,10,11,12],[1,4,8,9,10,11,13],[1,5,6,8,9,12,14],[1,5,7,8,11,13,14],[1,6,7,9,12,13,14],[2,3,5,7,11,13,14],[2,3,8,9,11,12,14],[2,4,5,6,8,12,13],[2,4,7,8,10,12,14],[2,4,7,9,11,12,13],[2,5,6,7,9,10,14],[2,6,7,8,9,10,11],[3,4,5,9,11,12,14],[3,4,6,7,8,9,13],[3,4,6,10,12,13,14],[3,5,6,9,10,11,13],[3,5,7,8,10,12,13],[4,5,6,8,10,11,14]]; G[2416]:=Group([(1,9,11)(2,7,5)(3,6,14)(4,10,13)]); # Design 2417: autom. group order 3, simple, residual B[2417]:=[[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],[1,2,5,9,10,12,14],[1,3,4,8,10,12,14],[1,3,6,9,11,13,14],[1,4,5,11,12,13,14],[1,4,7,8,11,12,13],[1,5,6,7,8,9,12],[1,5,7,9,10,11,14],[1,6,7,8,9,10,13],[2,3,5,7,12,13,14],[2,3,7,8,9,11,14],[2,4,5,8,9,11,13],[2,4,6,9,10,13,14],[2,4,7,9,10,11,12],[2,5,6,8,10,12,13],[2,6,7,8,11,12,14],[3,4,5,6,7,10,11],[3,4,6,8,9,12,14],[3,4,7,9,10,12,13],[3,5,6,9,11,12,13],[3,5,7,8,10,13,14],[4,5,6,8,10,11,14]]; G[2417]:=Group([(1,3,7)(2,5,6)(8,10,13)(9,11,14)]); # Design 2418: autom. group order 3, simple B[2418]:=[[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],[1,2,5,10,11,12,14],[1,3,4,8,12,13,14],[1,3,6,9,11,13,14],[1,4,5,8,9,11,12],[1,4,7,9,10,12,13],[1,5,6,7,8,12,14],[1,5,7,9,10,11,14],[1,6,7,8,9,10,13],[2,3,5,7,9,12,13],[2,3,7,8,9,11,14],[2,4,5,9,10,13,14],[2,4,6,8,9,10,11],[2,4,7,11,12,13,14],[2,5,6,8,10,12,13],[2,6,7,8,9,12,14],[3,4,5,6,7,10,14],[3,4,6,9,10,12,14],[3,4,7,8,10,11,12],[3,5,6,9,11,12,13],[3,5,7,8,10,11,13],[4,5,6,8,11,13,14]]; G[2418]:=Group([(1,3,7)(2,5,6)(8,10,13)(9,14,11)]); # Design 2419: autom. group order 3, simple B[2419]:=[[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],[1,2,4,6,7,12,14],[1,2,5,10,11,12,14],[1,3,4,10,11,13,14],[1,3,6,8,12,13,14],[1,4,5,9,11,12,13],[1,4,7,8,9,11,13],[1,5,6,7,9,11,14],[1,5,7,8,10,13,14],[1,6,7,8,9,10,12],[2,3,5,7,11,12,13],[2,3,7,8,9,13,14],[2,4,5,8,9,10,14],[2,4,6,9,12,13,14],[2,4,7,8,10,11,12],[2,5,6,8,11,13,14],[2,6,7,9,10,11,13],[3,4,5,6,7,10,13],[3,4,6,9,10,11,14],[3,4,7,8,11,12,14],[3,5,6,8,9,11,12],[3,5,7,9,10,12,14],[4,5,6,8,10,12,13]]; G[2419]:=Group([(1,3,7)(2,5,6)(8,13,14)(9,10,12)]); # Design 2420: autom. group order 3, simple, residual B[2420]:=[[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],[1,2,4,6,7,12,13],[1,2,5,10,11,12,14],[1,3,4,9,10,11,14],[1,3,6,8,12,13,14],[1,4,5,8,11,13,14],[1,4,7,8,9,11,13],[1,5,6,7,9,11,12],[1,5,7,8,10,12,14],[1,6,7,9,10,13,14],[2,3,5,7,11,13,14],[2,3,7,8,9,12,14],[2,4,5,9,12,13,14],[2,4,6,8,10,13,14],[2,4,7,8,10,11,12],[2,5,6,9,10,11,13],[2,6,7,8,9,11,14],[3,4,5,6,7,10,14],[3,4,6,9,11,12,14],[3,4,7,10,11,12,13],[3,5,6,8,11,12,13],[3,5,7,8,9,10,13],[4,5,6,8,9,10,12]]; G[2420]:=Group([(1,3,7)(2,5,6)(8,14,12)(9,10,13)]); # Design 2421: autom. group order 3, simple, residual B[2421]:=[[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],[1,2,5,7,11,12,14],[1,3,4,7,9,12,13],[1,3,6,7,9,10,14],[1,4,5,10,11,13,14],[1,4,7,8,10,11,12],[1,5,6,9,10,12,13],[1,5,7,8,9,13,14],[1,6,8,9,11,12,14],[2,3,5,9,11,12,14],[2,3,7,9,10,11,13],[2,4,5,8,9,10,12],[2,4,6,9,12,13,14],[2,4,7,10,12,13,14],[2,5,6,7,8,10,14],[2,6,7,8,9,11,13],[3,4,5,6,11,13,14],[3,4,6,7,8,12,14],[3,4,8,9,10,11,14],[3,5,6,8,10,12,13],[3,5,7,8,11,12,13],[4,5,6,7,9,10,11]]; G[2421]:=Group([(1,7,10)(2,13,5)(3,9,6)(4,11,12)]); # Design 2422: autom. group order 3, simple, residual B[2422]:=[[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],[1,2,5,8,9,12,14],[1,3,4,7,10,12,14],[1,3,6,7,8,13,14],[1,4,5,11,12,13,14],[1,4,7,8,9,10,11],[1,5,6,9,10,12,13],[1,5,7,9,10,11,14],[1,6,7,8,11,12,13],[2,3,5,7,10,11,13],[2,3,9,11,12,13,14],[2,4,5,7,10,12,13],[2,4,6,7,9,13,14],[2,4,7,8,11,12,14],[2,5,6,8,10,11,14],[2,6,7,8,9,10,12],[3,4,5,6,8,11,12],[3,4,6,9,10,11,14],[3,4,8,9,10,12,13],[3,5,6,7,9,12,14],[3,5,7,8,9,11,13],[4,5,6,8,10,13,14]]; G[2422]:=Group([(1,5,13)(2,7,8)(4,11,14)(6,9,10)]); # Design 2423: autom. group order 3, simple, residual B[2423]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,11,13,14],[1,3,4,9,10,12,14],[1,3,7,8,11,12,14],[1,4,5,6,10,12,13],[1,4,6,7,8,13,14],[1,5,7,9,11,12,13],[1,5,8,9,10,12,14],[1,6,7,9,10,11,13],[2,3,5,10,11,13,14],[2,3,6,9,12,13,14],[2,4,5,7,10,11,12],[2,4,7,9,10,13,14],[2,4,8,9,11,12,13],[2,5,6,7,8,9,12],[2,6,7,8,10,12,14],[3,4,5,7,12,13,14],[3,4,6,8,11,12,13],[3,4,7,8,9,10,11],[3,5,6,7,9,11,14],[3,5,6,8,9,10,13],[4,5,6,8,10,11,14]]; G[2423]:=Group([(1,2,12)(3,6,10)(4,7,14)(5,8,9)]); # Design 2424: autom. group order 3, simple, residual B[2424]:=[[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],[1,2,4,6,7,12,13],[1,2,5,8,10,13,14],[1,3,4,7,8,11,14],[1,3,7,9,12,13,14],[1,4,5,6,9,11,14],[1,4,8,9,10,11,12],[1,5,6,8,9,12,13],[1,5,7,9,10,11,13],[1,6,7,8,10,12,14],[2,3,5,7,9,10,12],[2,3,6,8,9,13,14],[2,4,5,8,10,12,14],[2,4,6,9,10,11,13],[2,4,7,8,11,12,13],[2,5,7,9,11,12,14],[2,6,7,8,9,11,14],[3,4,5,11,12,13,14],[3,4,6,9,10,12,14],[3,4,7,8,9,10,13],[3,5,6,7,8,10,11],[3,5,6,8,11,12,13],[4,5,6,7,10,13,14]]; G[2424]:=Group([(1,7,14)(3,12,8)(4,9,10)(6,11,13)]); # Design 2425: autom. group order 3, simple B[2425]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,10,11,13],[1,2,5,8,9,11,13],[1,3,4,8,12,13,14],[1,3,7,9,11,12,14],[1,4,5,6,11,12,14],[1,4,8,9,10,12,13],[1,5,6,7,9,13,14],[1,5,7,8,10,11,14],[1,6,7,8,9,10,12],[2,3,5,9,10,12,14],[2,3,7,8,11,12,13],[2,4,5,7,9,10,12],[2,4,6,7,8,12,14],[2,4,7,9,11,13,14],[2,5,6,8,12,13,14],[2,6,8,9,10,11,14],[3,4,5,8,10,11,14],[3,4,6,7,8,9,11],[3,4,6,9,10,13,14],[3,5,6,7,8,10,13],[3,5,6,9,11,12,13],[4,5,7,10,11,12,13]]; G[2425]:=Group([(1,5,12)(2,10,8)(3,7,13)(6,11,14)]); # Design 2426: autom. group order 3, simple, residual B[2426]:=[[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],[1,2,4,6,8,11,12],[1,2,5,10,11,13,14],[1,3,4,7,10,12,13],[1,3,7,9,11,12,14],[1,4,5,6,9,13,14],[1,4,7,9,10,11,13],[1,5,6,7,8,12,14],[1,5,8,9,11,12,13],[1,6,7,8,9,10,14],[2,3,5,7,9,12,13],[2,3,7,8,9,11,14],[2,4,5,9,10,12,14],[2,4,6,7,11,13,14],[2,4,7,8,12,13,14],[2,5,6,7,9,10,11],[2,6,8,9,10,12,13],[3,4,5,8,10,11,14],[3,4,6,8,9,11,13],[3,4,6,9,10,12,14],[3,5,6,7,8,10,13],[3,5,6,11,12,13,14],[4,5,7,8,10,11,12]]; G[2426]:=Group([(1,4,14)(2,10,7)(3,12,8)(5,9,6)]); # Design 2427: autom. group order 3, simple, residual B[2427]:=[[1,2,3,4,5,6,7],[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],[1,2,5,9,11,12,14],[1,3,4,8,10,12,14],[1,3,7,9,11,12,14],[1,4,5,7,9,10,11],[1,4,6,7,11,13,14],[1,5,6,8,9,12,13],[1,5,6,8,10,11,13],[1,7,8,9,10,13,14],[2,3,5,9,10,13,14],[2,3,6,7,9,11,13],[2,4,5,7,8,13,14],[2,4,7,8,10,11,12],[2,4,8,9,11,12,13],[2,5,6,10,11,12,14],[2,6,7,8,9,10,14],[3,4,5,10,11,13,14],[3,4,6,8,9,11,14],[3,4,6,9,10,12,13],[3,5,6,7,8,12,14],[3,5,7,8,11,12,13],[4,5,6,7,9,10,12]]; G[2427]:=Group([(1,10,12)(2,13,7)(4,14,8)(6,9,11)]); # Design 2428: autom. group order 3, simple B[2428]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,11,12,14],[1,3,4,8,10,13,14],[1,3,7,9,11,13,14],[1,4,5,7,9,10,11],[1,4,6,7,11,12,14],[1,5,6,8,9,12,13],[1,5,6,9,10,11,13],[1,7,8,9,10,12,14],[2,3,5,9,10,12,14],[2,3,6,7,9,11,12],[2,4,5,7,9,13,14],[2,4,7,8,10,11,13],[2,4,8,9,11,12,13],[2,5,6,10,11,13,14],[2,6,7,8,9,10,14],[3,4,5,10,11,12,14],[3,4,6,8,9,11,14],[3,4,6,9,10,12,13],[3,5,6,7,8,13,14],[3,5,7,8,11,12,13],[4,5,6,7,8,10,12]]; G[2428]:=Group([(1,10,13)(2,12,7)(4,14,8)(6,9,11)]); # Design 2429: autom. group order 3, simple, residual B[2429]:=[[1,2,3,4,5,6,7],[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],[1,2,5,9,10,12,14],[1,3,4,9,10,11,14],[1,3,8,11,12,13,14],[1,4,5,7,8,10,13],[1,4,6,7,12,13,14],[1,5,6,8,9,11,14],[1,5,7,9,11,12,13],[1,6,7,8,9,10,12],[2,3,5,6,9,12,13],[2,3,7,8,9,13,14],[2,4,5,11,12,13,14],[2,4,6,8,10,12,14],[2,4,7,8,9,11,12],[2,5,7,8,10,11,14],[2,6,7,9,10,11,13],[3,4,5,7,10,11,12],[3,4,6,7,9,11,14],[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[2429]:=Group([(1,7,9)(2,14,4)(5,13,11)(6,8,10)]); # Design 2430: autom. group order 3, simple, residual B[2430]:=[[1,2,3,4,5,6,7],[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],[1,2,5,9,11,13,14],[1,3,4,9,10,11,13],[1,3,7,9,11,12,14],[1,4,5,7,8,13,14],[1,4,6,10,12,13,14],[1,5,6,8,9,10,14],[1,5,7,8,10,11,12],[1,6,7,8,9,12,13],[2,3,5,6,12,13,14],[2,3,8,9,10,12,14],[2,4,5,7,9,10,12],[2,4,7,8,11,12,13],[2,4,7,9,10,13,14],[2,5,6,8,10,11,13],[2,6,7,8,9,11,14],[3,4,5,8,11,12,14],[3,4,6,7,8,10,14],[3,4,6,8,9,11,13],[3,5,6,7,9,12,13],[3,5,7,10,11,13,14],[4,5,6,9,10,11,12]]; G[2430]:=Group([(1,10,13)(2,9,6)(3,4,12)(8,11,14)]); # Design 2431: autom. group order 3, simple, residual B[2431]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,10,13],[1,2,4,6,9,11,13],[1,2,5,10,12,13,14],[1,3,4,7,11,13,14],[1,3,8,9,10,11,14],[1,4,5,8,11,12,14],[1,4,6,7,10,12,14],[1,5,6,8,9,13,14],[1,5,7,9,10,12,13],[1,6,7,8,9,11,12],[2,3,5,6,8,12,14],[2,3,7,9,11,12,14],[2,4,5,9,10,11,12],[2,4,7,8,9,12,13],[2,4,8,10,11,13,14],[2,5,6,7,11,13,14],[2,6,7,8,9,10,14],[3,4,5,7,9,10,14],[3,4,6,8,10,12,13],[3,4,6,9,12,13,14],[3,5,6,9,10,11,13],[3,5,7,8,11,12,13],[4,5,6,7,8,10,11]]; G[2431]:=Group([(1,3,12)(2,6,10)(4,13,5)(7,8,14)]); # Design 2432: autom. group order 3, simple, residual B[2432]:=[[1,2,3,4,5,6,7],[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],[1,2,5,10,11,12,14],[1,3,4,8,12,13,14],[1,3,7,9,11,13,14],[1,4,5,7,8,11,13],[1,4,6,7,10,11,14],[1,5,6,7,9,12,13],[1,5,8,9,10,11,12],[1,6,8,9,10,13,14],[2,3,5,6,11,13,14],[2,3,7,8,9,10,14],[2,4,5,9,10,11,13],[2,4,7,8,10,12,13],[2,4,7,9,11,12,14],[2,5,6,8,12,13,14],[2,6,7,8,9,11,13],[3,4,5,9,10,13,14],[3,4,6,8,9,11,12],[3,4,6,10,11,12,13],[3,5,6,7,9,10,12],[3,5,7,8,11,12,14],[4,5,6,7,8,10,14]]; G[2432]:=Group([(1,3,11)(2,6,10)(4,12,5)(7,13,14)]); # Design 2433: autom. group order 3, simple, residual B[2433]:=[[1,2,3,4,5,6,7],[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],[1,2,5,10,11,13,14],[1,3,4,9,10,12,14],[1,3,7,9,11,13,14],[1,4,5,8,11,12,13],[1,4,6,7,12,13,14],[1,5,6,7,8,10,11],[1,5,7,8,9,12,14],[1,6,8,9,10,12,13],[2,3,5,6,12,13,14],[2,3,8,9,11,12,13],[2,4,5,8,10,12,14],[2,4,7,8,11,13,14],[2,4,7,9,10,11,12],[2,5,6,7,9,12,13],[2,6,7,8,9,10,14],[3,4,5,7,9,10,13],[3,4,6,7,8,11,12],[3,4,6,8,10,13,14],[3,5,6,8,9,11,14],[3,5,7,10,11,12,14],[4,5,6,9,10,11,13]]; G[2433]:=Group([(1,10,12)(2,4,13)(3,9,6)(8,11,14)]); # Design 2434: autom. group order 3, simple, residual B[2434]:=[[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],[1,2,5,7,10,12,13],[1,3,4,7,9,11,13],[1,3,7,8,9,12,14],[1,4,5,7,11,12,14],[1,4,6,8,9,10,12],[1,5,6,8,9,11,13],[1,5,9,10,12,13,14],[1,6,7,8,10,11,14],[2,3,5,6,9,12,14],[2,3,7,9,10,11,14],[2,4,5,8,10,11,12],[2,4,7,8,9,10,13],[2,4,9,11,12,13,14],[2,5,6,7,8,13,14],[2,6,7,8,9,11,12],[3,4,5,8,10,11,14],[3,4,6,7,10,12,13],[3,4,6,8,12,13,14],[3,5,6,9,10,11,13],[3,5,7,8,11,12,13],[4,5,6,7,9,10,14]]; G[2434]:=Group([(1,3,12)(2,6,10)(4,13,5)(8,14,9)]); # Design 2435: autom. group order 3, simple B[2435]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,12,13,14],[1,3,4,8,10,11,14],[1,3,7,8,9,11,12],[1,4,5,7,9,10,12],[1,4,6,7,12,13,14],[1,5,6,9,11,13,14],[1,5,7,9,10,11,13],[1,6,8,9,10,12,14],[2,3,5,9,11,12,14],[2,3,6,7,9,12,13],[2,4,5,6,9,10,14],[2,4,7,10,11,12,14],[2,4,8,9,10,12,13],[2,5,7,8,10,11,13],[2,6,7,8,9,11,14],[3,4,5,11,12,13,14],[3,4,6,9,10,11,13],[3,4,7,8,9,13,14],[3,5,6,7,8,10,14],[3,5,6,8,10,12,13],[4,5,6,7,8,11,12]]; G[2435]:=Group([(1,10,11)(2,6,12)(4,8,14)(7,13,9)]); # Design 2436: autom. group order 3, simple, residual B[2436]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,10,13,14],[1,3,4,8,9,12,14],[1,3,7,9,11,13,14],[1,4,5,10,11,12,13],[1,4,6,9,10,13,14],[1,5,6,7,9,12,14],[1,5,7,8,9,10,11],[1,6,7,8,11,12,13],[2,3,5,7,11,12,14],[2,3,6,9,10,12,13],[2,4,5,9,11,12,13],[2,4,6,7,8,13,14],[2,4,7,8,9,11,13],[2,5,6,9,10,11,14],[2,7,8,9,10,12,14],[3,4,5,7,10,13,14],[3,4,6,7,9,10,11],[3,4,8,10,11,12,14],[3,5,6,8,9,12,13],[3,5,6,8,11,13,14],[4,5,6,7,8,10,12]]; G[2436]:=Group([(1,6,11)(2,8,12)(3,13,4)(7,14,10)]); # Design 2437: autom. group order 3, simple, residual B[2437]:=[[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],[1,2,5,7,11,13,14],[1,3,4,9,10,12,13],[1,3,7,9,12,13,14],[1,4,5,7,8,12,14],[1,4,6,8,11,12,14],[1,5,6,7,9,10,12],[1,5,8,9,10,11,14],[1,6,7,8,10,11,13],[2,3,5,10,11,12,14],[2,3,6,7,8,9,14],[2,4,5,8,10,12,13],[2,4,6,7,10,12,14],[2,4,7,8,9,10,11],[2,5,7,9,11,12,13],[2,6,8,9,12,13,14],[3,4,5,6,11,13,14],[3,4,7,8,11,12,13],[3,4,7,9,10,11,14],[3,5,6,7,8,10,13],[3,5,6,8,9,11,12],[4,5,6,9,10,13,14]]; G[2437]:=Group([(1,6,11)(2,4,13)(3,14,7)(8,10,12)]); # Design 2438: autom. group order 3, simple, residual B[2438]:=[[1,2,3,4,5,6,7],[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],[1,2,5,9,10,11,14],[1,3,4,8,10,11,14],[1,3,9,11,12,13,14],[1,4,5,8,11,12,13],[1,4,6,7,12,13,14],[1,5,6,7,9,11,12],[1,5,7,8,10,12,14],[1,6,7,8,9,10,13],[2,3,5,7,10,12,13],[2,3,6,8,11,12,13],[2,4,5,9,12,13,14],[2,4,7,8,9,11,12],[2,4,7,10,11,13,14],[2,5,6,7,8,11,14],[2,6,8,9,10,12,14],[3,4,5,6,10,12,14],[3,4,6,7,9,11,14],[3,4,7,8,9,10,12],[3,5,6,8,9,13,14],[3,5,7,9,10,11,13],[4,5,6,8,10,11,13]]; G[2438]:=Group([(1,7,11)(2,10,8)(3,13,4)(6,9,12)]); # Design 2439: autom. group order 3, simple B[2439]:=[[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],[1,2,5,10,12,13,14],[1,3,4,7,9,11,13],[1,3,7,8,11,13,14],[1,4,5,7,10,13,14],[1,4,6,9,11,12,14],[1,5,6,8,9,12,13],[1,5,7,8,10,11,12],[1,6,7,8,9,10,14],[2,3,5,9,10,11,14],[2,3,6,7,12,13,14],[2,4,5,8,11,13,14],[2,4,7,8,9,12,13],[2,4,7,8,10,11,12],[2,5,6,7,8,9,14],[2,6,7,9,10,11,13],[3,4,5,6,7,10,12],[3,4,6,8,10,13,14],[3,4,8,9,10,12,14],[3,5,6,8,11,12,13],[3,5,7,9,11,12,14],[4,5,6,9,10,11,13]]; G[2439]:=Group([(1,4,12)(3,8,13)(5,7,10)(6,11,14)]); # Design 2440: autom. group order 3, simple, residual B[2440]:=[[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],[1,2,5,8,10,13,14],[1,3,4,7,9,13,14],[1,3,7,10,11,13,14],[1,4,5,8,11,12,13],[1,4,6,7,9,10,12],[1,5,6,7,8,12,14],[1,5,9,10,11,12,14],[1,6,7,8,9,11,13],[2,3,5,7,11,12,13],[2,3,6,9,11,12,14],[2,4,5,7,10,11,14],[2,4,7,8,9,10,11],[2,4,8,9,12,13,14],[2,5,6,7,9,13,14],[2,6,7,8,10,12,13],[3,4,5,6,10,12,13],[3,4,6,8,11,13,14],[3,4,7,8,10,12,14],[3,5,6,8,9,10,14],[3,5,7,8,9,11,12],[4,5,6,9,10,11,13]]; G[2440]:=Group([(1,10,12)(2,7,5)(3,4,11)(6,14,13)]); # Design 2441: autom. group order 3, simple, residual B[2441]:=[[1,2,3,4,5,6,7],[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],[1,2,5,9,11,13,14],[1,3,4,9,10,13,14],[1,3,7,8,9,11,12],[1,4,5,8,11,12,13],[1,4,6,8,10,13,14],[1,5,6,7,9,12,14],[1,5,7,8,10,12,14],[1,6,7,9,10,11,13],[2,3,5,7,11,13,14],[2,3,8,9,10,12,14],[2,4,5,6,9,10,12],[2,4,7,8,9,13,14],[2,4,7,10,11,12,14],[2,5,6,7,8,10,13],[2,6,8,9,11,12,13],[3,4,5,10,11,12,13],[3,4,6,7,8,11,14],[3,4,6,7,9,12,13],[3,5,6,8,12,13,14],[3,5,6,9,10,11,14],[4,5,7,8,9,10,11]]; G[2441]:=Group([(2,12,13)(3,7,10)(4,5,14)(6,8,9)]); # Design 2442: autom. group order 3, simple, residual B[2442]:=[[1,2,3,4,5,6,7],[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],[1,2,5,9,11,13,14],[1,3,4,9,10,13,14],[1,3,7,8,9,11,12],[1,4,5,8,11,12,13],[1,4,6,8,10,13,14],[1,5,6,7,9,12,14],[1,5,7,8,10,12,14],[1,6,7,9,10,11,13],[2,3,5,10,11,12,14],[2,3,7,8,9,13,14],[2,4,5,7,10,11,13],[2,4,6,7,9,10,12],[2,4,8,9,10,12,14],[2,5,6,7,8,13,14],[2,6,8,9,11,12,13],[3,4,5,6,9,12,13],[3,4,6,7,8,11,14],[3,4,7,11,12,13,14],[3,5,6,8,10,12,13],[3,5,6,9,10,11,14],[4,5,7,8,9,10,11]]; G[2442]:=Group([(2,12,13)(3,7,10)(4,5,14)(6,8,9)]); # Design 2443: autom. group order 3, simple B[2443]:=[[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],[1,2,5,7,11,12,14],[1,3,4,8,9,12,14],[1,3,7,9,10,11,14],[1,4,5,11,12,13,14],[1,4,6,7,9,12,13],[1,5,6,8,9,11,13],[1,5,7,8,10,13,14],[1,6,7,8,9,10,12],[2,3,5,7,9,12,13],[2,3,7,8,11,12,13],[2,4,5,8,9,10,11],[2,4,6,7,8,13,14],[2,4,9,10,12,13,14],[2,5,6,9,10,12,14],[2,6,7,8,9,11,14],[3,4,5,6,7,10,14],[3,4,6,8,11,12,14],[3,4,7,9,10,11,13],[3,5,6,8,10,12,13],[3,5,6,9,11,13,14],[4,5,7,8,10,11,12]]; G[2443]:=Group([(1,2,9)(3,5,8)(6,10,12)(7,11,14)]); # Design 2444: autom. group order 3, simple B[2444]:=[[1,2,3,4,5,6,7],[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],[1,2,5,10,11,12,13],[1,3,4,8,12,13,14],[1,3,7,10,12,13,14],[1,4,5,9,10,11,13],[1,4,7,8,9,11,14],[1,5,6,7,9,12,14],[1,5,6,8,11,12,14],[1,6,7,8,9,10,13],[2,3,5,6,8,13,14],[2,3,7,9,11,12,14],[2,4,5,9,10,12,14],[2,4,6,7,9,12,13],[2,4,7,8,10,13,14],[2,5,7,8,11,12,13],[2,6,8,9,10,11,14],[3,4,5,7,10,11,14],[3,4,6,8,10,11,12],[3,4,6,9,11,12,13],[3,5,6,9,10,13,14],[3,5,7,8,9,11,13],[4,5,6,7,8,10,12]]; G[2444]:=Group([(1,6,13)(2,4,11)(3,12,5)(7,9,10)]); # Design 2445: autom. group order 3, simple B[2445]:=[[1,2,3,4,5,6,7],[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],[1,2,5,10,12,13,14],[1,3,4,9,11,13,14],[1,3,7,8,10,11,12],[1,4,5,7,10,11,13],[1,4,8,11,12,13,14],[1,5,6,7,9,11,14],[1,5,6,8,9,12,13],[1,6,7,8,9,10,14],[2,3,5,6,11,13,14],[2,3,8,9,10,13,14],[2,4,5,7,8,12,14],[2,4,6,9,10,11,12],[2,4,7,8,9,11,14],[2,5,7,8,10,11,13],[2,6,7,9,11,12,13],[3,4,5,9,10,11,12],[3,4,6,7,8,12,13],[3,4,6,7,10,13,14],[3,5,6,8,11,12,14],[3,5,7,9,10,12,14],[4,5,6,8,9,10,13]]; G[2445]:=Group([(1,5,7)(2,10,9)(3,13,14)(4,11,6)]); # Design 2446: autom. group order 3, simple, residual B[2446]:=[[1,2,3,4,5,6,7],[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],[1,2,5,10,11,13,14],[1,3,4,9,10,12,14],[1,3,7,9,11,13,14],[1,4,5,8,11,12,13],[1,4,7,8,11,12,14],[1,5,6,7,8,9,10],[1,5,6,7,12,13,14],[1,6,8,9,10,12,13],[2,3,5,6,12,13,14],[2,3,8,9,11,12,13],[2,4,5,8,10,12,14],[2,4,6,7,8,11,13],[2,4,7,9,10,13,14],[2,5,7,9,10,11,12],[2,6,7,8,9,12,14],[3,4,5,7,9,12,13],[3,4,6,7,10,11,12],[3,4,6,8,10,13,14],[3,5,6,8,9,11,14],[3,5,7,8,10,11,14],[4,5,6,9,10,11,13]]; G[2446]:=Group([(1,5,6)(2,13,9)(3,12,8)(4,14,10)]); # Design 2447: autom. group order 3, simple, residual B[2447]:=[[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],[1,2,5,7,10,13,14],[1,3,4,9,11,13,14],[1,3,7,8,12,13,14],[1,4,5,8,10,12,13],[1,4,7,8,9,10,11],[1,5,6,7,8,11,14],[1,5,6,9,10,12,14],[1,6,7,9,11,12,13],[2,3,5,6,11,12,13],[2,3,7,9,10,11,14],[2,4,5,7,9,12,14],[2,4,6,8,9,13,14],[2,4,7,8,11,12,13],[2,5,8,10,11,13,14],[2,6,7,8,9,10,12],[3,4,5,7,10,11,12],[3,4,6,7,10,13,14],[3,4,6,8,10,12,14],[3,5,6,7,8,9,13],[3,5,8,9,11,12,14],[4,5,6,9,10,11,13]]; G[2447]:=Group([(1,6,13)(2,4,10)(3,14,5)(9,12,11)]); # Design 2448: autom. group order 3, simple, residual B[2448]:=[[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],[1,2,5,7,9,10,14],[1,3,4,7,8,12,13],[1,3,9,10,11,12,14],[1,4,5,9,11,13,14],[1,4,7,8,9,10,11],[1,5,6,7,10,12,13],[1,5,6,8,11,12,14],[1,6,7,8,9,13,14],[2,3,5,8,11,13,14],[2,3,6,7,9,13,14],[2,4,5,7,11,12,14],[2,4,6,9,10,11,13],[2,4,7,8,10,12,14],[2,5,6,8,9,10,12],[2,7,8,9,11,12,13],[3,4,5,9,10,12,13],[3,4,6,7,10,11,14],[3,4,6,8,9,12,14],[3,5,6,7,9,11,12],[3,5,7,8,10,11,13],[4,5,6,8,10,13,14]]; G[2448]:=Group([(1,7,11)(3,14,13)(5,12,6)(8,10,9)]); # Design 2449: autom. group order 3, simple, residual B[2449]:=[[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],[1,2,4,7,10,11,12],[1,2,5,7,12,13,14],[1,3,4,6,9,13,14],[1,3,7,8,10,12,14],[1,4,5,6,11,12,13],[1,4,8,9,11,12,14],[1,5,6,8,10,13,14],[1,5,7,8,9,11,14],[1,6,7,9,10,11,13],[2,3,5,11,12,13,14],[2,3,6,7,9,11,14],[2,4,5,9,10,11,14],[2,4,6,7,8,13,14],[2,4,6,8,10,12,14],[2,5,7,8,9,10,13],[2,6,8,9,11,12,13],[3,4,5,8,10,11,13],[3,4,7,8,9,12,13],[3,4,7,10,11,13,14],[3,5,6,7,8,11,12],[3,5,6,9,10,12,14],[4,5,6,7,9,10,12]]; G[2449]:=Group([(1,6,13)(3,8,12)(4,14,5)(9,10,11)]); # Design 2450: autom. group order 3, simple, residual B[2450]:=[[1,2,3,4,5,6,7],[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],[1,2,5,9,11,13,14],[1,3,4,6,9,12,14],[1,3,7,8,9,11,13],[1,4,5,6,8,10,14],[1,4,7,9,10,12,13],[1,5,6,7,8,11,12],[1,5,8,10,12,13,14],[1,6,7,9,10,11,14],[2,3,5,10,11,12,14],[2,3,6,7,8,13,14],[2,4,5,7,9,10,11],[2,4,6,9,12,13,14],[2,4,7,8,11,12,14],[2,5,6,8,9,10,13],[2,6,7,8,9,10,12],[3,4,5,7,10,12,13],[3,4,6,8,10,11,13],[3,4,8,9,10,11,14],[3,5,6,9,11,12,13],[3,5,7,8,9,12,14],[4,5,6,7,11,13,14]]; G[2450]:=Group([(1,6,13)(2,10,4)(3,8,12)(5,9,7)]); # Design 2451: autom. group order 3, simple, residual B[2451]:=[[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],[1,2,4,7,10,12,14],[1,2,5,7,11,13,14],[1,3,4,6,11,13,14],[1,3,7,8,10,13,14],[1,4,5,8,11,12,13],[1,4,6,7,9,11,12],[1,5,6,9,10,13,14],[1,5,7,8,9,10,12],[1,6,8,9,11,12,14],[2,3,5,6,9,12,14],[2,3,7,8,11,12,14],[2,4,5,10,11,12,13],[2,4,6,7,8,9,13],[2,4,8,9,10,11,14],[2,5,6,8,12,13,14],[2,6,7,9,10,11,13],[3,4,5,9,10,11,14],[3,4,6,8,10,12,13],[3,4,7,9,12,13,14],[3,5,6,7,10,11,12],[3,5,7,8,9,11,13],[4,5,6,7,8,10,14]]; G[2451]:=Group([(1,13,14)(2,9,4)(3,7,10)(5,6,11)]); # Design 2452: autom. group order 3, simple, residual B[2452]:=[[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],[1,2,4,9,11,13,14],[1,2,5,7,10,11,13],[1,3,4,6,12,13,14],[1,3,7,8,9,12,13],[1,4,5,7,8,11,14],[1,4,6,7,9,10,12],[1,5,6,8,9,10,11],[1,5,9,10,12,13,14],[1,6,7,8,11,12,14],[2,3,5,7,10,12,14],[2,3,6,7,9,11,14],[2,4,5,6,8,12,13],[2,4,7,9,11,12,13],[2,4,8,10,11,12,14],[2,5,6,8,9,12,14],[2,6,7,8,9,10,13],[3,4,5,9,10,11,12],[3,4,6,8,10,11,13],[3,4,7,8,9,10,14],[3,5,6,9,11,13,14],[3,5,7,8,11,12,13],[4,5,6,7,10,13,14]]; G[2452]:=Group([(1,6,13)(2,11,8)(4,14,12)(5,9,7)]); # Design 2453: autom. group order 3, simple, residual B[2453]:=[[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],[1,2,4,8,9,12,13],[1,2,5,7,10,12,13],[1,3,4,6,8,11,13],[1,3,7,8,9,10,14],[1,4,5,7,11,13,14],[1,4,7,9,10,11,12],[1,5,6,8,9,10,14],[1,5,6,9,11,12,14],[1,6,7,8,12,13,14],[2,3,5,7,9,11,14],[2,3,6,9,12,13,14],[2,4,5,8,10,12,14],[2,4,6,7,9,13,14],[2,4,6,8,10,11,14],[2,5,6,7,8,11,12],[2,7,8,9,10,11,13],[3,4,5,10,12,13,14],[3,4,6,7,9,10,12],[3,4,7,8,11,12,14],[3,5,6,7,8,10,13],[3,5,8,9,11,12,13],[4,5,6,9,10,11,13]]; G[2453]:=Group([(1,4,14)(2,10,9)(3,12,6)(7,13,11)]); # Design 2454: autom. group order 3, simple, residual B[2454]:=[[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],[1,2,5,7,11,12,13],[1,3,4,9,11,13,14],[1,3,6,8,9,12,14],[1,4,5,6,10,12,14],[1,4,6,7,9,10,11],[1,5,6,8,9,11,13],[1,5,7,8,11,12,14],[1,7,8,9,10,12,13],[2,3,5,7,9,12,14],[2,3,6,7,8,11,13],[2,4,5,8,9,10,11],[2,4,6,8,11,12,14],[2,4,9,11,12,13,14],[2,5,6,9,10,12,13],[2,6,7,8,9,10,14],[3,4,5,8,10,12,13],[3,4,6,7,9,12,13],[3,4,7,8,10,11,12],[3,5,6,10,11,13,14],[3,5,7,9,10,11,14],[4,5,6,7,8,13,14]]; G[2454]:=Group([(1,10,12)(2,3,11)(4,5,14)(7,13,8)]); # Design 2455: autom. group order 3, simple, residual B[2455]:=[[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],[1,2,4,9,10,12,13],[1,2,5,7,11,12,14],[1,3,4,7,9,11,14],[1,3,6,9,11,12,13],[1,4,5,6,10,13,14],[1,4,6,8,11,12,14],[1,5,7,8,9,10,12],[1,5,7,8,10,11,13],[1,6,7,8,9,13,14],[2,3,5,9,11,13,14],[2,3,7,8,10,12,14],[2,4,5,6,7,12,13],[2,4,6,8,9,10,14],[2,4,7,8,11,13,14],[2,5,6,8,9,11,12],[2,6,7,9,10,11,13],[3,4,5,8,10,11,13],[3,4,6,7,10,11,12],[3,4,7,8,9,12,13],[3,5,6,7,9,10,14],[3,5,6,8,12,13,14],[4,5,9,10,11,12,14]]; G[2455]:=Group([(2,5,10)(3,7,13)(4,8,12)(6,11,14)]); # Design 2456: autom. group order 3, simple, residual B[2456]:=[[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],[1,2,4,7,10,11,12],[1,2,5,10,12,13,14],[1,3,4,10,11,13,14],[1,3,6,7,9,11,13],[1,4,5,6,8,12,14],[1,4,7,8,11,12,13],[1,5,6,9,10,11,14],[1,5,7,8,9,10,13],[1,6,7,8,9,12,14],[2,3,5,7,11,12,14],[2,3,6,7,8,13,14],[2,4,5,8,9,11,13],[2,4,6,7,9,10,12],[2,4,6,8,10,13,14],[2,5,6,9,11,12,13],[2,7,8,9,10,11,14],[3,4,5,7,9,10,14],[3,4,6,9,10,12,13],[3,4,8,9,11,12,14],[3,5,6,8,10,11,12],[3,5,7,8,10,12,13],[4,5,6,7,11,13,14]]; G[2456]:=Group([(1,6,13)(2,12,8)(3,9,7)(4,10,5)]); # Design 2457: autom. group order 3, simple, residual B[2457]:=[[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],[1,2,5,9,10,12,14],[1,3,4,6,12,13,14],[1,3,7,9,10,11,13],[1,4,5,7,8,11,12],[1,4,7,8,9,10,14],[1,5,6,7,8,13,14],[1,5,8,10,11,12,13],[1,6,7,9,11,12,14],[2,3,5,7,12,13,14],[2,3,7,8,9,11,14],[2,4,6,7,8,10,12],[2,4,7,9,10,12,13],[2,4,8,11,12,13,14],[2,5,6,7,10,11,14],[2,5,6,8,9,11,13],[3,4,5,7,10,11,13],[3,4,5,9,11,12,14],[3,4,6,8,10,11,14],[3,5,6,8,9,10,12],[3,6,7,8,9,12,13],[4,5,6,9,10,13,14]]; G[2457]:=Group([(1,6,10)(2,12,11)(4,8,13)(5,9,7)]); # Design 2458: autom. group order 3, simple, residual B[2458]:=[[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],[1,2,5,8,11,12,14],[1,3,4,6,12,13,14],[1,3,7,8,9,11,13],[1,4,5,7,9,10,12],[1,4,7,8,10,11,14],[1,5,6,7,10,13,14],[1,5,8,9,10,12,13],[1,6,7,9,11,12,14],[2,3,5,7,12,13,14],[2,3,7,9,10,11,14],[2,4,6,7,8,10,12],[2,4,7,8,11,12,13],[2,4,9,10,12,13,14],[2,5,6,7,8,9,14],[2,5,6,9,10,11,13],[3,4,5,7,10,11,13],[3,4,5,9,11,12,14],[3,4,6,8,9,10,14],[3,5,6,8,10,11,12],[3,6,7,8,9,12,13],[4,5,6,8,11,13,14]]; G[2458]:=Group([(1,6,8)(2,12,9)(4,10,13)(5,11,7)]); # Design 2459: autom. group order 3, simple, residual B[2459]:=[[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],[1,2,5,9,11,12,14],[1,3,4,6,9,13,14],[1,3,7,8,9,11,13],[1,4,5,7,8,10,12],[1,4,7,9,10,11,14],[1,5,6,7,10,13,14],[1,5,8,9,10,12,13],[1,6,7,8,11,12,14],[2,3,5,7,12,13,14],[2,3,7,9,10,11,12],[2,4,6,7,9,10,12],[2,4,7,8,11,13,14],[2,4,8,9,10,13,14],[2,5,6,7,8,9,14],[2,5,6,8,10,11,13],[3,4,5,7,10,11,13],[3,4,5,8,11,12,14],[3,4,6,8,10,12,14],[3,5,6,9,10,11,14],[3,6,7,8,9,12,13],[4,5,6,9,11,12,13]]; G[2459]:=Group([(1,6,9)(2,12,8)(3,4,13)(5,11,7)]); # Design 2460: autom. group order 3, simple, residual B[2460]:=[[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],[1,2,4,6,9,11,12],[1,2,5,8,10,13,14],[1,3,4,6,12,13,14],[1,3,7,9,10,11,13],[1,4,5,9,11,13,14],[1,4,7,8,11,12,13],[1,5,6,7,10,11,12],[1,5,7,8,9,12,14],[1,6,7,8,9,10,14],[2,3,5,7,11,12,14],[2,3,7,8,9,11,13],[2,4,6,7,9,10,14],[2,4,7,9,10,12,13],[2,4,8,10,11,12,14],[2,5,6,7,8,12,13],[2,5,6,9,11,13,14],[3,4,5,7,10,11,14],[3,4,5,8,9,10,12],[3,4,6,7,8,13,14],[3,5,6,9,10,12,13],[3,6,8,9,11,12,14],[4,5,6,8,10,11,13]]; G[2460]:=Group([(1,4,10)(3,9,14)(5,7,13)(6,12,8)]); # Design 2461: autom. group order 3, simple, residual B[2461]:=[[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],[1,2,5,11,12,13,14],[1,3,4,8,10,11,14],[1,3,6,7,12,13,14],[1,4,5,6,9,11,14],[1,4,8,9,10,12,13],[1,5,7,8,10,11,13],[1,5,7,9,10,12,14],[1,6,7,8,9,11,12],[2,3,5,7,8,10,12],[2,3,7,9,11,13,14],[2,4,6,9,10,12,14],[2,4,7,8,11,12,14],[2,4,7,9,10,11,13],[2,5,6,8,9,12,13],[2,5,6,8,10,11,14],[3,4,5,7,9,11,12],[3,4,5,10,12,13,14],[3,4,6,8,11,12,13],[3,5,6,9,10,11,13],[3,6,7,8,9,10,14],[4,5,6,7,8,13,14]]; G[2461]:=Group([(1,7,9)(3,4,13)(5,10,14)(6,11,8)]); # Design 2462: autom. group order 3, simple, residual B[2462]:=[[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],[1,2,4,6,9,12,13],[1,2,5,7,10,13,14],[1,3,4,7,9,12,14],[1,3,6,7,8,10,14],[1,4,5,8,11,12,14],[1,4,8,9,10,13,14],[1,5,6,7,9,11,13],[1,5,6,11,12,13,14],[1,7,8,9,10,11,12],[2,3,5,8,12,13,14],[2,3,7,9,11,13,14],[2,4,6,7,8,11,14],[2,4,6,9,10,11,14],[2,4,7,8,11,12,13],[2,5,6,8,9,10,12],[2,5,7,9,10,12,14],[3,4,5,7,10,11,12],[3,4,5,9,10,11,13],[3,4,6,10,12,13,14],[3,5,6,8,9,11,14],[3,6,7,8,9,12,13],[4,5,6,7,8,10,13]]; G[2462]:=Group([(1,4,10)(2,5,11)(6,7,12)(8,9,13)]); # Design 2463: autom. group order 3, simple B[2463]:=[[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],[1,2,4,6,9,12,13],[1,2,5,7,8,10,14],[1,3,4,7,12,13,14],[1,3,6,7,9,10,14],[1,4,5,9,11,12,14],[1,4,8,9,10,13,14],[1,5,6,7,11,13,14],[1,5,6,8,11,12,13],[1,7,8,9,10,11,12],[2,3,5,8,12,13,14],[2,3,7,9,11,13,14],[2,4,6,7,8,9,11],[2,4,6,10,11,13,14],[2,4,7,8,11,12,14],[2,5,6,9,10,12,14],[2,5,7,9,10,12,13],[3,4,5,7,10,11,12],[3,4,5,9,10,11,13],[3,4,6,8,10,12,14],[3,5,6,8,9,11,14],[3,6,7,8,9,12,13],[4,5,6,7,8,10,13]]; G[2463]:=Group([(1,4,10)(2,5,11)(6,7,12)(8,9,13)]); # Design 2464: autom. group order 3, simple B[2464]:=[[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],[1,2,5,9,11,13,14],[1,3,4,8,11,13,14],[1,3,6,7,9,11,12],[1,4,5,7,10,12,13],[1,4,7,8,11,12,14],[1,5,6,7,8,10,14],[1,5,6,9,12,13,14],[1,7,8,9,10,11,13],[2,3,5,7,11,12,14],[2,3,7,8,12,13,14],[2,4,6,7,8,9,13],[2,4,6,10,11,13,14],[2,4,7,9,10,11,12],[2,5,6,8,11,12,13],[2,5,7,8,9,10,14],[3,4,5,8,10,12,13],[3,4,5,9,10,11,14],[3,4,6,7,9,13,14],[3,5,6,7,10,11,13],[3,6,8,9,10,12,14],[4,5,6,8,9,11,12]]; G[2464]:=Group([(2,8,13)(3,11,9)(4,14,5)(6,7,12)]); # Design 2465: autom. group order 3, simple B[2465]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,11,12],[1,2,4,6,10,13,14],[1,2,5,9,11,12,13],[1,3,4,9,11,13,14],[1,3,6,8,12,13,14],[1,4,5,7,11,12,13],[1,4,7,9,10,12,14],[1,5,6,8,9,10,12],[1,5,7,8,10,13,14],[1,6,7,8,9,11,14],[2,3,5,9,10,13,14],[2,3,7,8,9,12,14],[2,4,6,7,8,12,13],[2,4,6,9,11,12,14],[2,4,7,8,9,10,13],[2,5,6,8,11,13,14],[2,5,7,10,11,12,14],[3,4,5,6,10,12,14],[3,4,5,7,8,11,14],[3,4,8,10,11,12,13],[3,5,6,7,9,12,13],[3,6,7,9,10,11,13],[4,5,6,8,9,10,11]]; G[2465]:=Group([(1,7,10)(2,6,11)(4,9,12)(5,13,8)]); # Design 2466: autom. group order 3, simple, residual B[2466]:=[[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],[1,2,5,7,10,13,14],[1,3,4,9,11,13,14],[1,3,6,7,8,13,14],[1,4,5,7,10,11,12],[1,4,7,8,9,10,11],[1,5,6,7,9,12,13],[1,5,8,11,12,13,14],[1,6,8,9,10,12,14],[2,3,5,9,11,12,14],[2,3,7,8,9,12,13],[2,4,6,7,11,13,14],[2,4,6,8,10,12,13],[2,4,7,8,11,12,14],[2,5,6,9,10,11,13],[2,5,7,8,9,10,14],[3,4,5,6,10,12,14],[3,4,5,8,10,13,14],[3,4,7,9,10,12,13],[3,5,6,7,8,11,12],[3,6,7,9,10,11,14],[4,5,6,8,9,11,13]]; G[2466]:=Group([(1,5,7)(2,10,4)(3,14,11)(6,13,12)]); # Design 2467: autom. group order 3, simple, residual B[2467]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,11,13],[1,2,4,6,12,13,14],[1,2,5,7,8,10,14],[1,3,4,8,10,13,14],[1,3,6,8,9,12,13],[1,4,5,9,11,13,14],[1,4,7,8,9,11,12],[1,5,6,7,11,12,14],[1,5,7,9,10,12,13],[1,6,8,9,10,11,14],[2,3,5,9,12,13,14],[2,3,7,8,9,11,14],[2,4,6,7,9,11,13],[2,4,7,9,10,12,14],[2,4,8,10,11,12,13],[2,5,6,8,9,10,12],[2,5,6,8,11,13,14],[3,4,5,6,9,10,11],[3,4,5,10,11,12,14],[3,4,6,7,8,12,14],[3,5,7,8,11,12,13],[3,6,7,9,10,13,14],[4,5,6,7,8,10,13]]; G[2467]:=Group([(1,4,10)(2,5,11)(7,9,12)(8,14,13)]); # Design 2468: autom. group order 3, simple B[2468]:=[[1,2,3,4,5,6,7],[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],[1,2,5,10,12,13,14],[1,3,4,9,10,13,14],[1,3,6,8,9,12,14],[1,4,5,7,9,11,13],[1,4,7,8,11,12,14],[1,5,6,8,11,12,13],[1,5,7,8,9,10,12],[1,6,7,9,10,11,14],[2,3,5,7,9,12,14],[2,3,8,9,11,12,13],[2,4,6,7,9,11,12],[2,4,7,8,10,12,13],[2,4,8,9,10,11,14],[2,5,6,7,8,10,14],[2,5,6,9,11,13,14],[3,4,5,6,8,10,11],[3,4,5,10,11,12,14],[3,4,6,7,12,13,14],[3,5,7,8,11,13,14],[3,6,7,8,9,10,13],[4,5,6,9,10,12,13]]; G[2468]:=Group([(1,4,10)(2,5,11)(7,8,12)(9,14,13)]); # Design 2469: autom. group order 3, simple, residual B[2469]:=[[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],[1,2,5,7,9,10,14],[1,3,4,7,10,12,14],[1,3,6,9,12,13,14],[1,4,5,11,12,13,14],[1,4,7,8,9,11,14],[1,5,6,8,9,11,12],[1,5,7,8,10,12,13],[1,6,7,9,10,11,13],[2,3,5,7,9,12,13],[2,3,8,9,11,12,14],[2,4,6,7,9,11,13],[2,4,7,8,10,11,12],[2,4,9,10,12,13,14],[2,5,6,7,11,12,14],[2,5,6,8,10,13,14],[3,4,5,6,10,11,14],[3,4,5,9,10,11,13],[3,4,6,7,8,12,13],[3,5,7,8,11,13,14],[3,6,7,8,9,10,14],[4,5,6,8,9,10,12]]; G[2469]:=Group([(1,4,10)(2,5,11)(7,14,12)(8,9,13)]); # Design 2470: autom. group order 3, simple B[2470]:=[[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],[1,2,5,7,10,12,14],[1,3,4,9,10,12,14],[1,3,6,8,9,13,14],[1,4,5,9,11,12,13],[1,4,7,8,11,13,14],[1,5,6,7,8,11,12],[1,5,7,8,9,10,13],[1,6,7,9,10,11,14],[2,3,5,7,9,13,14],[2,3,7,8,9,11,12],[2,4,6,7,9,11,13],[2,4,7,8,10,12,13],[2,4,8,9,10,11,14],[2,5,6,8,10,13,14],[2,5,6,9,11,12,14],[3,4,5,6,10,11,13],[3,4,5,7,10,11,14],[3,4,6,7,8,12,14],[3,5,8,11,12,13,14],[3,6,7,9,10,12,13],[4,5,6,8,9,10,12]]; G[2470]:=Group([(1,4,10)(2,5,11)(7,13,8)(9,14,12)]); # Design 2471: autom. group order 3, simple, residual B[2471]:=[[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],[1,2,5,7,11,13,14],[1,3,4,7,8,11,12],[1,3,7,9,10,12,13],[1,4,5,6,10,12,14],[1,4,9,11,12,13,14],[1,5,6,7,8,13,14],[1,5,7,8,9,10,12],[1,6,8,9,10,11,14],[2,3,5,9,10,11,14],[2,3,6,7,9,12,14],[2,4,6,8,10,12,13],[2,4,7,8,9,10,14],[2,4,7,8,11,12,14],[2,5,6,8,9,12,13],[2,5,7,10,11,12,13],[3,4,5,8,10,11,13],[3,4,5,9,12,13,14],[3,4,6,7,10,13,14],[3,5,6,8,11,12,14],[3,6,7,8,9,11,13],[4,5,6,7,9,10,11]]; G[2471]:=Group([(1,2,12)(3,6,10)(4,13,7)(5,8,9)]); # Design 2472: autom. group order 3, simple B[2472]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,9,10,12],[1,2,4,6,8,13,14],[1,2,5,10,11,12,13],[1,3,4,10,12,13,14],[1,3,7,9,11,12,14],[1,4,5,9,10,11,14],[1,4,6,7,9,12,13],[1,5,6,8,11,12,14],[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],[2,4,6,9,11,12,14],[2,4,7,8,10,11,12],[2,4,7,9,10,13,14],[2,5,6,9,10,11,13],[2,5,7,8,9,12,14],[3,4,5,7,11,12,13],[3,4,5,8,9,11,13],[3,4,6,8,10,11,14],[3,5,6,7,9,10,14],[3,6,8,9,10,12,13],[4,5,6,7,8,10,12]]; G[2472]:=Group([(1,5,8)(2,4,9)(6,11,12)(7,13,10)]); # Design 2473: autom. group order 3, simple, residual B[2473]:=[[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],[1,2,5,9,10,12,14],[1,3,4,7,12,13,14],[1,3,7,8,9,11,13],[1,4,5,7,8,10,12],[1,4,6,8,10,11,14],[1,5,6,7,9,11,14],[1,5,8,11,12,13,14],[1,6,7,9,10,12,13],[2,3,5,6,12,13,14],[2,3,7,9,10,11,14],[2,4,6,7,8,13,14],[2,4,7,10,11,12,13],[2,4,8,9,11,12,14],[2,5,6,7,8,11,12],[2,5,7,8,9,10,13],[3,4,5,7,10,11,14],[3,4,5,9,11,12,13],[3,4,6,8,9,10,12],[3,5,6,8,10,11,13],[3,6,7,8,9,12,14],[4,5,6,9,10,13,14]]; G[2473]:=Group([(1,11,12)(2,10,6)(4,7,9)(5,14,8)]); # Design 2474: autom. group order 3, simple, residual B[2474]:=[[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],[1,2,5,8,11,12,14],[1,3,4,7,12,13,14],[1,3,7,9,10,11,13],[1,4,5,7,8,10,12],[1,4,6,8,9,10,14],[1,5,6,7,9,11,14],[1,5,9,10,12,13,14],[1,6,7,8,11,12,13],[2,3,5,6,12,13,14],[2,3,7,8,9,11,14],[2,4,6,7,10,13,14],[2,4,7,8,9,12,13],[2,4,9,10,11,12,14],[2,5,6,7,9,10,12],[2,5,7,8,10,11,13],[3,4,5,7,10,11,14],[3,4,5,9,11,12,13],[3,4,6,8,10,11,12],[3,5,6,8,9,10,13],[3,6,7,8,9,12,14],[4,5,6,8,11,13,14]]; G[2474]:=Group([(1,9,12)(2,8,6)(4,7,11)(5,14,10)]); # Design 2475: autom. group order 3, simple, residual B[2475]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,6,8,10,13],[1,2,5,9,11,13,14],[1,3,4,9,10,12,14],[1,3,8,11,12,13,14],[1,4,5,7,8,11,12],[1,4,6,7,12,13,14],[1,5,6,7,9,10,11],[1,5,8,9,10,12,13],[1,6,7,8,9,11,14],[2,3,5,7,9,12,14],[2,3,6,8,9,11,13],[2,4,6,9,11,12,14],[2,4,7,8,9,12,13],[2,4,7,8,10,11,14],[2,5,6,8,10,12,14],[2,5,7,10,11,12,13],[3,4,5,6,11,12,13],[3,4,5,8,10,11,14],[3,4,7,9,10,11,13],[3,5,6,7,8,13,14],[3,6,7,8,9,10,12],[4,5,6,9,10,13,14]]; G[2475]:=Group([(1,4,11)(2,10,9)(3,14,6)(5,8,7)]); # Design 2476: autom. group order 3, simple B[2476]:=[[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],[1,2,5,9,10,12,14],[1,3,4,8,12,13,14],[1,3,7,9,10,13,14],[1,4,5,7,11,12,13],[1,4,6,7,10,12,14],[1,5,6,8,9,11,12],[1,5,7,8,11,13,14],[1,6,7,8,9,10,11],[2,3,5,7,11,12,14],[2,3,6,7,8,12,13],[2,4,6,7,9,11,13],[2,4,7,8,10,11,14],[2,4,8,9,11,12,14],[2,5,6,8,10,13,14],[2,5,7,9,10,12,13],[3,4,5,6,10,11,14],[3,4,5,9,10,11,13],[3,4,7,8,9,10,12],[3,5,6,7,8,9,14],[3,6,9,11,12,13,14],[4,5,6,8,10,12,13]]; G[2476]:=Group([(1,4,10)(2,5,11)(7,14,12)(8,9,13)]); # Design 2477: autom. group order 3, simple B[2477]:=[[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],[1,2,5,7,12,13,14],[1,3,4,7,10,11,14],[1,3,7,8,9,12,14],[1,4,5,8,10,12,13],[1,4,6,11,12,13,14],[1,5,6,8,9,11,14],[1,5,7,9,10,11,13],[1,6,7,8,9,10,12],[2,3,5,8,11,12,13],[2,3,6,7,9,13,14],[2,4,7,8,10,11,14],[2,4,7,9,10,12,13],[2,4,8,9,11,12,14],[2,5,6,7,8,10,11],[2,5,6,9,10,12,14],[3,4,5,6,10,12,14],[3,4,5,7,9,11,12],[3,4,6,8,9,10,13],[3,5,9,10,11,13,14],[3,6,7,8,11,12,13],[4,5,6,7,8,13,14]]; G[2477]:=Group([(1,5,12)(2,14,7)(3,6,9)(4,10,8)]); # Design 2478: autom. group order 3, simple, residual B[2478]:=[[1,2,3,4,5,6,7],[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],[1,2,5,8,10,12,14],[1,3,4,9,10,12,14],[1,3,7,8,12,13,14],[1,4,5,9,11,12,13],[1,4,7,8,9,11,14],[1,5,6,7,9,10,12],[1,5,6,7,11,13,14],[1,6,8,9,10,11,13],[2,3,5,6,9,13,14],[2,3,8,9,11,12,13],[2,4,6,7,8,11,12],[2,4,6,9,10,11,14],[2,4,7,10,12,13,14],[2,5,7,8,9,10,13],[2,5,7,9,11,12,14],[3,4,5,7,8,10,11],[3,4,5,10,11,13,14],[3,4,6,7,9,12,13],[3,5,6,8,11,12,14],[3,6,7,8,9,10,14],[4,5,6,8,10,12,13]]; G[2478]:=Group([(1,4,10)(2,5,11)(6,8,13)(9,14,12)]); # Design 2479: autom. group order 3, simple B[2479]:=[[1,2,3,4,5,6,7],[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],[1,2,5,10,11,13,14],[1,3,4,8,10,12,14],[1,3,7,9,11,12,13],[1,4,5,9,11,13,14],[1,4,7,10,11,12,14],[1,5,6,7,8,12,13],[1,5,6,8,9,11,12],[1,6,7,8,9,10,14],[2,3,5,6,11,12,14],[2,3,7,8,9,10,11],[2,4,6,7,9,11,14],[2,4,6,8,12,13,14],[2,4,7,8,11,12,13],[2,5,7,9,10,12,13],[2,5,8,9,10,12,14],[3,4,5,7,9,12,14],[3,4,5,8,10,11,13],[3,4,6,9,10,12,13],[3,5,6,7,10,13,14],[3,6,8,9,11,13,14],[4,5,6,7,8,10,11]]; G[2479]:=Group([(1,2,10)(3,9,14)(4,5,12)(6,13,11)]); # Design 2480: autom. group order 3, simple B[2480]:=[[1,2,3,4,5,6,7],[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],[1,2,5,10,11,13,14],[1,3,4,9,10,11,14],[1,3,7,8,9,11,12],[1,4,5,7,10,12,13],[1,4,7,8,11,13,14],[1,5,6,8,10,12,14],[1,5,6,9,11,12,13],[1,6,7,8,9,13,14],[2,3,5,9,12,13,14],[2,3,6,8,11,13,14],[2,4,6,8,9,10,13],[2,4,7,8,10,12,14],[2,4,7,9,11,12,13],[2,5,6,7,8,11,12],[2,5,7,9,10,11,14],[3,4,5,6,7,13,14],[3,4,5,8,11,12,14],[3,4,6,10,11,12,13],[3,5,7,8,9,10,13],[3,6,7,9,10,12,14],[4,5,6,8,9,10,11]]; G[2480]:=Group([(1,5,6)(2,4,7)(8,14,10)(9,13,11)]); # Design 2481: autom. group order 3, simple B[2481]:=[[1,2,3,4,5,6,7],[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],[1,2,5,9,10,13,14],[1,3,4,10,11,13,14],[1,3,7,8,11,12,13],[1,4,5,7,9,10,12],[1,4,7,8,9,13,14],[1,5,6,8,10,12,14],[1,5,6,9,11,12,13],[1,6,7,8,9,11,14],[2,3,5,9,11,12,14],[2,3,6,8,9,13,14],[2,4,6,8,9,10,11],[2,4,7,8,10,12,14],[2,4,7,9,11,12,13],[2,5,6,7,8,12,13],[2,5,7,10,11,13,14],[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],[3,6,7,9,10,12,14],[4,5,6,8,10,11,13]]; G[2481]:=Group([(1,5,6)(2,4,7)(8,14,10)(9,13,11)]); # Design 2482: autom. group order 3, simple B[2482]:=[[1,2,3,4,5,6,7],[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],[1,2,5,10,11,13,14],[1,3,4,9,10,13,14],[1,3,7,8,9,11,12],[1,4,5,7,9,10,12],[1,4,7,8,11,13,14],[1,5,6,8,10,12,14],[1,5,6,9,11,12,13],[1,6,7,8,9,13,14],[2,3,5,9,12,13,14],[2,3,6,8,9,11,14],[2,4,6,8,9,10,13],[2,4,7,8,10,12,14],[2,4,7,9,11,12,13],[2,5,6,7,8,12,13],[2,5,7,9,10,11,14],[3,4,5,6,7,13,14],[3,4,5,8,11,12,14],[3,4,6,10,11,12,13],[3,5,7,8,10,11,13],[3,6,7,9,10,12,14],[4,5,6,8,9,10,11]]; G[2482]:=Group([(1,5,6)(2,4,7)(8,14,10)(9,13,11)]); # Design 2483: autom. group order 3, simple B[2483]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,4,6,9,11,12],[1,2,5,10,11,13,14],[1,3,4,11,12,13,14],[1,3,7,8,9,10,14],[1,4,5,7,8,12,13],[1,4,7,9,10,11,14],[1,5,6,8,11,12,14],[1,5,6,9,10,12,13],[1,6,7,8,9,13,14],[2,3,5,9,11,13,14],[2,3,6,8,9,12,14],[2,4,6,8,10,13,14],[2,4,7,8,11,12,14],[2,4,7,9,10,12,13],[2,5,6,7,10,12,14],[2,5,7,8,9,11,13],[3,4,5,6,7,13,14],[3,4,5,9,10,12,14],[3,4,6,8,10,11,13],[3,5,7,8,10,11,12],[3,6,7,9,11,12,13],[4,5,6,8,9,10,11]]; G[2483]:=Group([(1,5,6)(2,4,7)(8,14,11)(9,13,10)]); # Design 2484: autom. group order 3, simple, residual B[2484]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,8,13,14],[1,2,4,6,9,10,11],[1,2,5,8,9,12,13],[1,3,4,10,12,13,14],[1,3,7,9,10,11,13],[1,4,5,7,10,12,14],[1,4,7,8,11,12,13],[1,5,6,8,11,12,14],[1,5,6,9,10,13,14],[1,6,7,8,9,11,14],[2,3,5,8,10,11,14],[2,3,9,11,12,13,14],[2,4,6,7,9,13,14],[2,4,6,8,10,12,13],[2,4,7,8,10,11,14],[2,5,6,7,11,12,13],[2,5,7,9,10,12,14],[3,4,5,6,11,13,14],[3,4,5,7,9,11,12],[3,4,6,8,9,12,14],[3,5,6,7,8,10,13],[3,6,7,8,9,10,12],[4,5,8,9,10,11,13]]; G[2484]:=Group([(1,8,10)(2,6,14)(3,12,5)(4,9,7)]); # Design 2485: autom. group order 3, simple, residual B[2485]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,8,10,11],[1,2,3,7,10,12,13],[1,2,4,9,11,12,13],[1,2,5,6,11,12,14],[1,3,4,6,12,13,14],[1,3,8,9,10,12,14],[1,4,5,7,10,11,14],[1,4,7,8,9,13,14],[1,5,6,8,9,10,13],[1,5,7,8,11,12,13],[1,6,7,9,10,11,14],[2,3,5,9,11,13,14],[2,3,7,8,9,11,14],[2,4,6,7,8,13,14],[2,4,6,9,10,12,14],[2,4,7,8,10,11,12],[2,5,6,7,9,10,13],[2,5,8,10,12,13,14],[3,4,5,7,9,10,12],[3,4,5,10,11,13,14],[3,4,6,8,10,11,13],[3,5,6,7,8,12,14],[3,6,7,9,11,12,13],[4,5,6,8,9,11,12]]; G[2485]:=Group([(1,8,9)(2,7,6)(3,14,10)(4,13,5)]); # Design 2486: autom. group order 3, simple, residual B[2486]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,7,10,11],[1,2,3,8,10,12,13],[1,2,4,9,11,12,14],[1,2,5,6,9,13,14],[1,3,4,9,10,11,13],[1,3,6,11,12,13,14],[1,4,5,7,10,12,13],[1,4,7,8,10,12,14],[1,5,6,8,9,10,14],[1,5,7,8,11,13,14],[1,6,7,8,9,11,12],[2,3,5,10,11,12,14],[2,3,7,8,9,12,14],[2,4,6,7,8,11,13],[2,4,6,8,10,11,14],[2,4,7,9,10,13,14],[2,5,6,8,10,12,13],[2,5,7,9,11,12,13],[3,4,5,6,7,12,14],[3,4,5,8,11,13,14],[3,4,6,8,9,12,13],[3,5,7,8,9,10,11],[3,6,7,9,10,13,14],[4,5,6,9,10,11,12]]; G[2486]:=Group([(1,4,6)(2,5,7)(8,14,10)(9,12,11)]); # Design 2487: autom. group order 3, simple, residual B[2487]:=[[1,2,3,4,5,6,7],[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],[1,2,5,6,9,13,14],[1,3,4,8,10,12,14],[1,3,9,11,12,13,14],[1,4,5,7,9,11,12],[1,4,6,7,12,13,14],[1,5,6,7,8,10,11],[1,5,8,9,10,12,13],[1,6,7,8,9,11,14],[2,3,5,7,8,12,14],[2,3,6,8,9,11,13],[2,4,6,8,11,12,14],[2,4,7,8,9,12,13],[2,4,7,9,10,11,14],[2,5,6,9,10,12,14],[2,5,7,10,11,12,13],[3,4,5,6,11,12,13],[3,4,5,9,10,11,14],[3,4,6,7,9,10,13],[3,5,7,8,11,13,14],[3,6,7,8,9,10,12],[4,5,6,8,10,13,14]]; G[2487]:=Group([(1,4,11)(2,10,8)(3,14,6)(5,9,7)]); # Design 2488: autom. group order 3, simple B[2488]:=[[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],[1,2,4,7,9,11,13],[1,2,5,6,12,13,14],[1,3,4,9,10,13,14],[1,3,7,8,11,12,13],[1,4,5,10,11,12,13],[1,4,6,7,8,11,14],[1,5,6,7,8,9,10],[1,5,8,9,11,12,14],[1,6,7,9,10,12,14],[2,3,5,7,10,11,14],[2,3,7,8,9,12,14],[2,4,6,8,9,12,13],[2,4,6,9,10,11,14],[2,4,7,8,10,11,12],[2,5,6,8,11,13,14],[2,5,7,9,10,12,13],[3,4,5,6,8,10,12],[3,4,5,9,11,12,14],[3,4,6,7,12,13,14],[3,5,6,7,9,11,13],[3,6,8,9,10,11,13],[4,5,7,8,10,13,14]]; G[2488]:=Group([(1,5,9)(2,11,10)(3,14,6)(4,12,7)]); # Design 2489: autom. group order 3, simple, residual B[2489]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,8,9],[1,2,3,6,10,11,12],[1,2,3,7,10,13,14],[1,2,4,8,11,13,14],[1,2,5,8,10,12,13],[1,3,4,9,10,11,14],[1,3,6,7,12,13,14],[1,4,5,6,9,10,13],[1,4,6,7,8,9,12],[1,5,6,8,11,12,14],[1,5,7,9,11,12,14],[1,7,8,9,10,11,13],[2,3,5,9,11,12,13],[2,3,6,8,9,11,14],[2,4,6,9,10,12,14],[2,4,7,8,10,12,14],[2,4,7,9,11,12,13],[2,5,6,7,8,10,11],[2,5,6,7,9,13,14],[3,4,5,7,10,11,12],[3,4,5,8,12,13,14],[3,4,6,7,8,11,13],[3,5,7,8,9,10,14],[3,6,8,9,10,12,13],[4,5,6,10,11,13,14]]; G[2489]:=Group([(1,4,12)(2,14,5)(3,10,11)(6,9,7)]); # Design 2490: autom. group order 3, simple, residual B[2490]:=[[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],[1,2,5,7,10,12,13],[1,3,4,9,10,11,14],[1,3,6,8,12,13,14],[1,4,5,6,9,10,13],[1,4,6,7,8,9,12],[1,5,6,9,11,12,14],[1,5,7,8,11,12,14],[1,7,8,9,10,11,13],[2,3,5,9,11,12,13],[2,3,6,7,9,11,14],[2,4,6,8,10,12,14],[2,4,7,9,10,12,14],[2,4,8,9,11,12,13],[2,5,6,7,8,10,11],[2,5,6,8,9,13,14],[3,4,5,7,12,13,14],[3,4,5,8,10,11,12],[3,4,6,7,8,11,13],[3,5,7,8,9,10,14],[3,6,7,9,10,12,13],[4,5,6,10,11,13,14]]; G[2490]:=Group([(1,4,12)(2,14,5)(3,10,11)(6,9,8)]); # Design 2491: autom. group order 3, simple, residual B[2491]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,11,13],[1,3,4,5,10,13,14],[1,3,6,7,8,10,12],[1,4,6,9,10,11,14],[1,4,7,8,11,12,13],[1,5,6,8,12,13,14],[1,5,7,8,9,10,11],[1,7,9,10,12,13,14],[2,3,7,8,9,13,14],[2,3,7,10,11,12,14],[2,4,5,7,8,10,12],[2,4,6,7,10,13,14],[2,4,6,8,9,12,13],[2,5,6,9,10,11,12],[2,5,8,10,11,13,14],[3,4,5,7,9,11,13],[3,4,6,10,11,12,13],[3,4,8,9,11,12,14],[3,5,6,7,9,12,14],[3,5,6,8,9,10,13],[4,5,6,7,8,11,14]]; G[2491]:=Group([(1,7,14)(2,4,11)(3,5,8)(9,13,10)]); # Design 2492: autom. group order 3, simple B[2492]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,10,11,13],[1,3,4,5,10,13,14],[1,3,6,7,8,9,12],[1,4,6,11,12,13,14],[1,4,7,8,9,11,13],[1,5,6,8,9,10,14],[1,5,7,8,10,11,12],[1,7,9,10,12,13,14],[2,3,7,8,12,13,14],[2,3,7,9,10,11,14],[2,4,5,7,8,10,13],[2,4,6,7,10,12,14],[2,4,6,8,9,12,13],[2,5,6,9,10,11,12],[2,5,8,9,11,13,14],[3,4,5,7,9,11,12],[3,4,6,9,10,11,13],[3,4,8,10,11,12,14],[3,5,6,7,9,13,14],[3,5,6,8,10,12,13],[4,5,6,7,8,11,14]]; G[2492]:=Group([(1,7,14)(2,4,11)(3,5,8)(10,12,13)]); # Design 2493: autom. group order 3, simple, residual B[2493]:=[[1,2,3,4,5,6,7],[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],[1,2,6,10,11,12,13],[1,3,4,5,10,13,14],[1,3,7,8,9,11,14],[1,4,6,7,8,11,12],[1,4,6,7,9,13,14],[1,5,6,8,9,10,12],[1,5,7,9,10,11,13],[1,7,8,10,12,13,14],[2,3,6,7,9,10,12],[2,3,7,9,12,13,14],[2,4,5,7,8,11,13],[2,4,6,8,10,13,14],[2,4,7,10,11,12,14],[2,5,6,7,8,9,13],[2,5,8,9,10,11,14],[3,4,5,7,8,10,12],[3,4,6,9,10,11,13],[3,4,8,9,11,12,13],[3,5,6,7,10,11,14],[3,5,6,8,12,13,14],[4,5,6,9,11,12,14]]; G[2493]:=Group([(1,4,7)(2,11,9)(3,12,13)(5,8,14)]); # Design 2494: autom. group order 3, simple, residual B[2494]:=[[1,2,3,4,5,6,7],[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],[1,2,6,10,11,12,14],[1,3,4,5,12,13,14],[1,3,7,9,10,12,14],[1,4,6,7,8,12,13],[1,4,7,8,9,11,12],[1,5,6,8,9,11,14],[1,5,7,8,10,13,14],[1,6,7,9,10,11,13],[2,3,6,7,11,12,13],[2,3,7,8,10,11,14],[2,4,5,6,7,9,10],[2,4,6,8,9,12,14],[2,4,7,8,11,13,14],[2,5,7,9,12,13,14],[2,5,8,9,10,12,13],[3,4,5,7,9,11,14],[3,4,6,8,10,13,14],[3,4,9,10,11,12,13],[3,5,6,7,8,10,12],[3,5,6,8,9,11,13],[4,5,6,10,11,12,14]]; G[2494]:=Group([(1,10,13)(2,8,6)(4,14,9)(5,7,11)]); # Design 2495: autom. group order 3, simple, residual B[2495]:=[[1,2,3,4,5,6,7],[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],[1,2,6,8,10,12,13],[1,3,4,5,7,13,14],[1,3,7,9,10,11,12],[1,4,6,7,9,10,11],[1,4,8,10,11,13,14],[1,5,6,9,11,12,14],[1,5,7,8,10,12,14],[1,6,7,8,9,13,14],[2,3,6,7,10,12,14],[2,3,7,8,9,11,14],[2,4,5,9,10,11,14],[2,4,6,8,9,12,14],[2,4,7,11,12,13,14],[2,5,6,7,9,10,13],[2,5,7,8,10,11,13],[3,4,5,6,8,10,14],[3,4,6,10,11,12,13],[3,4,7,8,9,12,13],[3,5,6,8,9,11,13],[3,5,9,10,12,13,14],[4,5,6,7,8,11,12]]; G[2495]:=Group([(1,5,10)(2,9,4)(3,13,11)(8,12,14)]); # Design 2496: autom. group order 3, simple, residual B[2496]:=[[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],[1,2,4,5,6,9,12],[1,2,7,8,10,12,13],[1,3,4,5,10,13,14],[1,3,6,7,10,12,14],[1,4,6,7,8,11,13],[1,4,7,9,12,13,14],[1,5,6,9,10,11,13],[1,5,7,8,10,11,14],[1,6,8,9,11,12,14],[2,3,6,7,10,11,13],[2,3,6,8,12,13,14],[2,4,5,8,11,13,14],[2,4,6,10,11,12,14],[2,4,7,8,9,10,14],[2,5,6,7,9,13,14],[2,5,7,9,10,11,12],[3,4,5,7,11,12,14],[3,4,6,7,8,9,11],[3,4,9,10,11,12,13],[3,5,6,8,9,10,14],[3,5,7,8,9,12,13],[4,5,6,8,10,12,13]]; G[2496]:=Group([(1,7,9)(2,6,8)(5,11,10)(12,13,14)]); # Design 2497: autom. group order 3, simple, residual B[2497]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,8,9,13],[1,3,4,6,10,11,13],[1,3,5,8,10,12,14],[1,4,5,7,9,11,14],[1,4,7,8,10,13,14],[1,5,6,7,10,12,13],[1,6,9,11,12,13,14],[1,7,8,9,10,11,12],[2,3,7,9,10,13,14],[2,3,7,10,11,12,14],[2,4,5,9,10,11,13],[2,4,6,7,8,11,12],[2,4,6,10,12,13,14],[2,5,6,8,9,10,12],[2,5,7,8,11,13,14],[3,4,5,7,8,12,13],[3,4,6,7,9,12,14],[3,4,8,9,11,12,13],[3,5,6,7,9,10,11],[3,5,6,8,9,13,14],[4,5,6,8,10,11,14]]; G[2497]:=Group([(1,8,10)(2,5,13)(3,14,4)(7,9,12)]); # Design 2498: autom. group order 3, simple, residual B[2498]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,12,14],[1,3,4,8,9,13,14],[1,3,5,7,10,13,14],[1,4,5,6,10,11,13],[1,4,6,7,8,11,12],[1,5,7,8,11,13,14],[1,6,9,10,11,12,14],[1,7,8,9,10,12,13],[2,3,6,7,8,10,14],[2,3,7,11,12,13,14],[2,4,5,7,9,12,13],[2,4,6,8,11,13,14],[2,4,7,9,10,11,13],[2,5,6,8,10,12,13],[2,5,8,9,10,11,14],[3,4,5,9,11,12,14],[3,4,6,10,12,13,14],[3,4,7,8,10,11,12],[3,5,6,7,9,10,11],[3,5,6,8,9,12,13],[4,5,6,7,8,9,14]]; G[2498]:=Group([(1,12,13)(2,3,11)(5,14,6)(7,9,8)]); # Design 2499: autom. group order 3, simple, residual B[2499]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,11,13,14],[1,2,4,5,8,13,14],[1,2,6,7,9,12,13],[1,3,4,7,9,11,12],[1,3,5,9,10,13,14],[1,4,5,7,10,11,14],[1,4,6,9,10,12,14],[1,5,7,8,10,12,13],[1,6,7,8,11,12,14],[1,6,8,9,10,11,13],[2,3,6,8,10,12,14],[2,3,7,9,10,11,14],[2,4,5,6,10,11,12],[2,4,7,8,9,11,13],[2,4,7,10,12,13,14],[2,5,6,7,8,9,10],[2,5,9,11,12,13,14],[3,4,5,6,9,12,13],[3,4,6,7,8,13,14],[3,4,8,10,11,12,13],[3,5,6,7,10,11,13],[3,5,7,8,9,12,14],[4,5,6,8,9,11,14]]; G[2499]:=Group([(1,9,10)(2,5,12)(3,14,4)(6,8,13)]); # Design 2500: autom. group order 3, simple, residual B[2500]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,10,12,13],[1,3,4,6,9,12,13],[1,3,5,7,8,10,14],[1,4,5,7,11,12,14],[1,4,6,8,10,11,13],[1,5,6,9,10,12,14],[1,6,7,8,9,11,12],[1,7,9,10,11,13,14],[2,3,6,7,9,10,14],[2,3,7,9,11,12,13],[2,4,5,7,10,11,13],[2,4,6,10,11,12,14],[2,4,7,8,9,12,14],[2,5,6,8,9,10,11],[2,5,6,8,12,13,14],[3,4,5,9,10,11,12],[3,4,6,7,8,11,14],[3,4,8,10,12,13,14],[3,5,6,7,10,12,13],[3,5,8,9,11,13,14],[4,5,6,7,8,9,13]]; G[2500]:=Group([(1,6,12)(3,14,8)(4,10,7)(5,11,13)]); # Design 2501: autom. group order 3, simple B[2501]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,10,11,14],[1,3,4,6,10,12,13],[1,3,5,7,9,13,14],[1,4,5,10,11,13,14],[1,4,6,8,9,11,12],[1,5,6,7,8,9,10],[1,6,7,8,12,13,14],[1,7,9,10,11,12,13],[2,3,6,9,10,11,13],[2,3,7,9,10,12,14],[2,4,5,7,8,11,13],[2,4,6,7,9,13,14],[2,4,8,10,12,13,14],[2,5,6,7,10,11,12],[2,5,6,8,9,12,13],[3,4,5,7,8,10,12],[3,4,6,7,11,12,14],[3,4,7,8,9,11,13],[3,5,6,8,10,13,14],[3,5,8,9,11,12,14],[4,5,6,9,10,11,14]]; G[2501]:=Group([(1,5,7)(2,10,13)(3,6,9)(4,8,14)]); # Design 2502: autom. group order 3, simple B[2502]:=[[1,2,3,4,5,6,7],[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],[1,2,9,10,12,13,14],[1,3,4,6,8,12,14],[1,3,5,7,10,12,14],[1,4,5,7,8,10,13],[1,4,6,9,10,11,12],[1,5,6,7,9,13,14],[1,6,7,8,10,11,14],[1,7,8,9,11,12,13],[2,3,6,7,10,12,13],[2,3,7,8,11,13,14],[2,4,5,7,9,10,11],[2,4,6,8,10,13,14],[2,4,7,8,9,12,14],[2,5,6,7,8,9,12],[2,5,6,10,11,12,14],[3,4,5,9,12,13,14],[3,4,6,7,9,11,14],[3,4,7,10,11,12,13],[3,5,6,8,9,10,13],[3,5,8,9,10,11,14],[4,5,6,8,11,12,13]]; G[2502]:=Group([(2,5,13)(3,7,9)(4,14,11)(8,10,12)]); # Design 2503: autom. group order 3, simple, residual B[2503]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,11,13,14],[1,3,4,7,12,13,14],[1,3,5,9,10,11,14],[1,4,5,6,9,12,13],[1,4,6,7,8,10,14],[1,5,7,8,9,10,12],[1,6,7,10,11,12,13],[1,6,8,9,11,12,14],[2,3,6,10,11,12,14],[2,3,7,8,9,12,13],[2,4,5,7,11,12,14],[2,4,6,7,8,9,11],[2,4,9,10,12,13,14],[2,5,6,7,9,10,14],[2,5,6,8,10,12,13],[3,4,5,6,8,12,14],[3,4,6,8,10,11,13],[3,4,7,9,10,11,12],[3,5,6,7,9,11,13],[3,5,7,8,10,13,14],[4,5,8,9,11,13,14]]; G[2503]:=Group([(1,11,13)(2,10,7)(4,12,8)(5,6,14)]); # Design 2504: autom. group order 3, simple B[2504]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,11,13,14],[1,2,4,5,7,8,13],[1,2,7,9,10,12,14],[1,3,4,9,11,12,13],[1,3,5,9,10,13,14],[1,4,5,7,10,12,14],[1,4,6,8,9,11,14],[1,5,6,9,10,11,12],[1,6,7,8,10,11,13],[1,6,7,8,12,13,14],[2,3,6,8,10,12,14],[2,3,7,10,11,12,13],[2,4,5,6,10,11,14],[2,4,6,7,9,11,12],[2,4,8,9,12,13,14],[2,5,6,8,9,10,13],[2,5,7,9,11,13,14],[3,4,5,6,12,13,14],[3,4,6,7,9,10,13],[3,4,7,8,10,11,14],[3,5,6,7,8,9,12],[3,5,7,8,9,11,14],[4,5,8,10,11,12,13]]; G[2504]:=Group([(2,6,10)(3,11,9)(4,13,12)(5,8,14)]); # Design 2505: autom. group order 3, simple B[2505]:=[[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],[1,2,6,9,10,12,14],[1,3,4,7,8,13,14],[1,3,5,7,10,12,14],[1,4,6,7,8,9,12],[1,4,6,11,12,13,14],[1,5,6,7,9,11,13],[1,5,8,9,10,12,13],[1,6,7,8,10,11,14],[2,3,6,7,10,11,12],[2,3,6,8,12,13,14],[2,4,5,6,8,9,14],[2,4,5,7,12,13,14],[2,4,7,9,10,11,14],[2,5,6,7,8,10,13],[2,7,8,9,11,12,13],[3,4,5,6,9,11,12],[3,4,6,8,10,11,13],[3,4,7,9,10,12,13],[3,5,6,9,10,13,14],[3,5,7,8,9,11,14],[4,5,8,10,11,12,14]]; G[2505]:=Group([(1,11,13)(2,9,5)(3,7,10)(4,14,6)]); # Design 2506: autom. group order 3, simple, residual B[2506]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,13,14],[1,2,4,5,9,11,13],[1,2,6,8,10,11,14],[1,3,4,7,11,13,14],[1,3,5,7,10,12,14],[1,4,6,10,12,13,14],[1,4,7,8,10,11,12],[1,5,6,8,9,12,14],[1,5,7,8,9,10,13],[1,6,7,9,11,12,13],[2,3,6,7,9,10,12],[2,3,7,8,12,13,14],[2,4,5,8,12,13,14],[2,4,6,7,8,10,13],[2,4,7,9,11,12,14],[2,5,6,10,11,12,13],[2,5,7,9,10,11,14],[3,4,5,6,10,11,14],[3,4,5,9,10,12,13],[3,4,6,8,9,11,12],[3,5,6,7,8,11,13],[3,8,9,10,11,13,14],[4,5,6,7,8,9,14]]; G[2506]:=Group([(1,3,10)(2,9,8)(5,12,7)(6,13,11)]); # Design 2507: autom. group order 3, simple, residual B[2507]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,11,13,14],[1,3,4,7,9,12,13],[1,3,5,7,10,12,14],[1,4,6,7,10,11,14],[1,4,6,8,9,11,12],[1,5,6,9,11,12,14],[1,5,8,9,10,13,14],[1,6,7,8,10,12,13],[2,3,6,8,10,11,14],[2,3,7,9,10,11,12],[2,4,5,6,8,12,13],[2,4,6,9,10,12,14],[2,4,7,11,12,13,14],[2,5,6,7,9,10,13],[2,5,7,8,9,12,14],[3,4,5,6,7,8,14],[3,4,5,9,11,13,14],[3,4,8,10,12,13,14],[3,5,6,10,11,12,13],[3,6,7,8,9,11,13],[4,5,7,8,9,10,11]]; G[2507]:=Group([(1,4,14)(2,12,5)(3,13,9)(6,7,11)]); # Design 2508: autom. group order 3, simple, residual B[2508]:=[[1,2,3,4,5,6,7],[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],[1,2,7,8,9,11,13],[1,3,4,7,10,12,13],[1,3,5,7,9,12,14],[1,4,6,7,8,11,14],[1,4,6,9,10,11,12],[1,5,6,7,8,9,10],[1,5,9,10,11,13,14],[1,6,8,10,12,13,14],[2,3,6,9,10,12,13],[2,3,7,9,10,11,14],[2,4,5,8,10,11,13],[2,4,6,7,9,13,14],[2,4,7,8,10,12,14],[2,5,6,7,10,11,12],[2,5,6,8,9,12,14],[3,4,5,6,8,9,13],[3,4,5,6,10,11,14],[3,4,8,9,11,12,14],[3,5,7,8,10,13,14],[3,6,7,8,11,12,13],[4,5,7,9,11,12,13]]; G[2508]:=Group([(1,13,14)(2,6,11)(4,8,9)(5,12,10)]); # Design 2509: autom. group order 3, simple, residual B[2509]:=[[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],[1,2,4,5,8,13,14],[1,2,6,10,11,12,13],[1,3,4,7,10,11,14],[1,3,5,7,9,10,12],[1,4,6,7,8,11,12],[1,4,6,9,12,13,14],[1,5,6,8,9,10,13],[1,5,7,10,12,13,14],[1,6,7,8,9,11,14],[2,3,6,7,8,13,14],[2,3,6,9,10,12,14],[2,4,5,6,9,11,12],[2,4,7,8,10,12,13],[2,4,7,9,10,11,13],[2,5,6,7,10,11,14],[2,5,7,8,9,12,14],[3,4,5,6,7,9,13],[3,4,5,11,12,13,14],[3,4,6,8,10,12,14],[3,5,6,8,10,11,13],[3,7,8,9,11,12,13],[4,5,8,9,10,11,14]]; G[2509]:=Group([(1,3,13)(2,11,14)(4,8,12)(6,10,7)]); # Design 2510: autom. group order 3, simple, residual B[2510]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,9,11,12],[1,3,4,7,10,12,13],[1,3,6,8,9,12,14],[1,4,5,6,10,11,13],[1,4,7,8,10,11,14],[1,5,6,7,8,9,10],[1,5,7,8,12,13,14],[1,9,10,11,12,13,14],[2,3,5,8,10,13,14],[2,3,7,9,10,11,14],[2,4,5,7,11,12,14],[2,4,6,8,10,12,14],[2,4,7,8,9,12,13],[2,5,6,9,10,12,13],[2,6,7,8,10,11,13],[3,4,5,9,10,11,12],[3,4,6,7,9,13,14],[3,4,6,8,11,12,13],[3,5,6,7,10,12,14],[3,5,7,8,9,11,13],[4,5,6,8,9,11,14]]; G[2510]:=Group([(1,2,10)(3,8,4)(5,14,7)(6,13,11)]); # Design 2511: autom. group order 3, simple, residual B[2511]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,8,10,13],[1,3,4,7,10,12,14],[1,3,6,8,9,11,14],[1,4,5,8,10,13,14],[1,4,6,7,9,12,14],[1,5,6,10,11,12,13],[1,5,7,9,10,11,14],[1,7,8,9,11,12,13],[2,3,5,7,12,13,14],[2,3,7,9,10,11,12],[2,4,5,6,9,10,11],[2,4,7,8,11,13,14],[2,4,8,10,11,12,14],[2,5,6,7,8,9,14],[2,6,9,10,12,13,14],[3,4,5,9,11,13,14],[3,4,6,7,10,11,13],[3,4,6,8,9,12,13],[3,5,6,8,10,12,14],[3,5,7,8,9,10,13],[4,5,6,7,8,11,12]]; G[2511]:=Group([(1,4,11)(2,6,12)(3,7,8)(9,10,13)]); # Design 2512: autom. group order 3, simple, residual B[2512]:=[[1,2,3,4,5,6,7],[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],[1,2,6,7,10,12,14],[1,3,4,9,11,12,14],[1,3,7,8,10,11,14],[1,4,5,6,8,13,14],[1,4,7,8,11,12,13],[1,5,6,7,8,9,10],[1,5,7,9,12,13,14],[1,6,9,10,11,12,13],[2,3,5,9,10,12,13],[2,3,7,8,12,13,14],[2,4,5,6,11,12,14],[2,4,6,7,8,9,12],[2,4,7,9,10,11,14],[2,5,7,8,9,11,13],[2,6,8,10,11,13,14],[3,4,5,7,10,13,14],[3,4,6,7,9,11,13],[3,4,6,8,10,12,13],[3,5,6,7,10,11,12],[3,5,6,8,9,11,14],[4,5,8,9,10,12,14]]; G[2512]:=Group([(1,8,10)(2,5,14)(3,9,7)(4,6,11)]); # Design 2513: autom. group order 3, simple, residual B[2513]:=[[1,2,3,4,5,6,7],[1,2,3,4,8,9,10],[1,2,3,5,8,11,12],[1,2,3,6,9,11,13],[1,2,4,5,9,13,14],[1,2,7,8,10,12,14],[1,3,4,6,10,12,14],[1,3,7,8,11,12,13],[1,4,5,6,10,12,13],[1,4,7,9,11,12,14],[1,5,6,8,9,11,14],[1,5,7,8,9,10,13],[1,6,7,10,11,13,14],[2,3,5,7,10,13,14],[2,3,6,7,9,12,14],[2,4,5,7,11,12,13],[2,4,6,7,8,10,11],[2,4,6,8,11,13,14],[2,5,9,10,11,12,14],[2,6,8,9,10,12,13],[3,4,5,8,10,11,14],[3,4,7,8,9,13,14],[3,4,9,10,11,12,13],[3,5,6,7,9,10,11],[3,5,6,8,12,13,14],[4,5,6,7,8,9,12]]; G[2513]:=Group([(1,4,8)(2,3,10)(5,14,7)(6,11,12)]); # Design 2514: autom. group order 3, simple, residual B[2514]:=[[1,2,3,4,5,6,7],[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],[1,2,7,9,10,11,14],[1,3,4,7,12,13,14],[1,3,6,8,10,12,14],[1,4,5,8,10,13,14],[1,4,6,7,9,10,12],[1,5,6,7,10,11,13],[1,5,6,8,9,11,14],[1,7,8,9,11,12,13],[2,3,6,7,8,10,13],[2,3,9,10,11,12,13],[2,4,5,7,8,10,11],[2,4,6,7,11,12,14],[2,4,6,8,9,13,14],[2,5,6,9,10,12,14],[2,5,7,8,12,13,14],[3,4,5,6,9,11,13],[3,4,5,10,11,12,14],[3,4,7,8,9,11,14],[3,5,6,7,8,9,12],[3,5,7,9,10,13,14],[4,6,8,10,11,12,13]]; G[2514]:=Group([(1,4,11)(2,10,6)(3,8,13)(9,12,14)]);