Rx:=[];
Gx:=[];
# Design 176: 1 resolution(s), autom. group order 4, simple
Rx[1]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,9,10,14],[4,5,6,7,11,12,13]],[[1,2,4,8,11,12,14],[3,5,6,7,9,10,13]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,5,9,10,11,12],[3,4,6,7,8,13,14]],[[1,2,6,7,9,10,13],[3,4,5,8,11,12,14]],[[1,2,6,8,10,12,13],[3,4,5,7,9,11,14]],[[1,2,7,9,11,13,14],[3,4,5,6,8,10,12]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,11,12,13],[2,4,7,8,9,10,14]],[[1,3,5,7,8,10,14],[2,4,6,9,11,12,13]],[[1,3,5,10,12,13,14],[2,4,6,7,8,9,11]],[[1,3,6,7,10,11,14],[2,4,5,8,9,12,13]],[[1,3,6,8,9,11,12],[2,4,5,7,10,13,14]],[[1,3,7,8,9,12,13],[2,4,5,6,10,11,14]],[[1,4,5,6,9,13,14],[2,3,7,8,10,11,12]],[[1,4,5,7,9,10,12],[2,3,6,8,11,13,14]],[[1,4,5,8,10,11,13],[2,3,6,7,9,12,14]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,9,10,12,14],[2,3,5,7,8,11,13]],[[1,4,7,8,10,11,13],[2,3,5,6,9,12,14]],[[1,5,6,7,8,9,11],[2,3,4,10,12,13,14]]];
Gx[1]:=Group([(1,4)(2,3)(5,7)(8,13)(9,12),(1,8)(2,12)(3,9)(4,13)(5,7)(6,14)(10,11)]);
# Design 208: 1 resolution(s), autom. group order 4, simple
Rx[2]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,9,11,12,14],[3,5,6,7,8,10,13]],[[1,2,5,6,8,9,13],[3,4,7,10,11,12,14]],[[1,2,5,6,10,11,14],[3,4,7,8,9,12,13]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,8,9,13,14],[3,4,5,6,10,11,12]],[[1,2,7,10,11,12,13],[3,4,5,6,8,9,14]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,7,8,10,14],[2,4,6,9,11,12,13]],[[1,3,5,7,9,11,12],[2,4,6,8,10,13,14]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,6,8,10,12,13],[2,4,5,7,9,11,14]],[[1,3,6,9,11,13,14],[2,4,5,7,8,10,12]],[[1,4,5,7,10,13,14],[2,3,6,8,9,11,12]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,5,9,10,12,14],[2,3,6,7,8,11,13]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[1,4,6,7,9,10,13],[2,3,5,8,11,12,14]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]];
Gx[2]:=Group([(1,2)(3,4)(8,9)(10,11),(1,3,2,4)(5,6)(8,10,9,11)(12,13)]);
# Design 255: 1 resolution(s), autom. group order 4, simple
Rx[3]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,9,10,12,14],[3,5,6,7,8,11,13]],[[1,2,5,6,8,11,13],[3,4,7,9,10,12,14]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,9,11,12],[3,4,6,8,10,13,14]],[[1,2,6,9,11,12,14],[3,4,5,7,8,10,13]],[[1,2,7,8,9,10,13],[3,4,5,6,11,12,14]],[[1,2,7,8,11,13,14],[3,4,5,6,9,10,12]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,6,8,12,14],[2,4,7,9,10,11,13]],[[1,3,5,7,9,11,14],[2,4,6,8,10,12,13]],[[1,3,5,9,10,13,14],[2,4,6,7,8,11,12]],[[1,3,6,7,9,10,13],[2,4,5,8,11,12,14]],[[1,3,6,9,11,12,13],[2,4,5,7,8,10,14]],[[1,3,7,8,10,11,12],[2,4,5,6,9,13,14]],[[1,4,5,7,12,13,14],[2,3,6,8,9,10,11]],[[1,4,5,8,9,10,11],[2,3,6,7,12,13,14]],[[1,4,5,10,11,12,13],[2,3,6,7,8,9,14]],[[1,4,6,7,8,9,14],[2,3,5,10,11,12,13]],[[1,4,6,7,10,11,14],[2,3,5,8,9,12,13]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]];
Gx[3]:=Group([(1,4)(2,3)(8,9)(10,11)(12,13),(1,8)(2,11)(3,10)(4,9)(7,14)]);
# Design 323: 1 resolution(s), autom. group order 4, simple
Rx[4]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,9,11,12,14],[3,5,6,7,8,10,13]],[[1,2,5,6,8,9,14],[3,4,7,10,11,12,13]],[[1,2,5,6,10,11,13],[3,4,7,8,9,12,14]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[1,2,7,10,11,13,14],[3,4,5,6,8,9,12]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,7,8,10,13],[2,4,6,9,11,12,14]],[[1,3,5,7,11,12,14],[2,4,6,8,9,10,13]],[[1,3,5,9,11,12,13],[2,4,6,7,8,10,14]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,6,8,9,11,13],[2,4,5,7,10,12,14]],[[1,3,6,8,10,12,14],[2,4,5,7,9,11,13]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,5,9,10,13,14],[2,3,6,7,8,11,12]],[[1,4,6,7,8,13,14],[2,3,5,9,10,11,12]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,8,11,12,13],[2,3,5,7,9,10,14]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]];
Gx[4]:=Group([(1,2)(3,4)(8,9)(10,11),(1,3,2,4)(5,6)(8,11,9,10)(12,13)]);
# Design 356: 1 resolution(s), autom. group order 4, simple
Rx[5]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,6,8],[7,9,10,11,12,13,14]],[[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]],[[1,2,3,4,12,13,14],[5,6,7,8,9,10,11]],[[1,2,3,7,8,9,12],[4,5,6,10,11,13,14]],[[1,2,4,7,10,11,13],[3,5,6,8,9,12,14]],[[1,2,5,6,9,10,14],[3,4,7,8,11,12,13]],[[1,2,5,6,11,12,13],[3,4,7,8,9,10,14]],[[1,2,5,8,11,13,14],[3,4,6,7,9,10,12]],[[1,2,6,9,10,12,14],[3,4,5,7,8,11,13]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[1,2,7,8,10,11,14],[3,4,5,6,9,12,13]],[[1,3,4,8,9,11,14],[2,5,6,7,10,12,13]],[[1,3,5,7,10,12,14],[2,4,6,8,9,11,13]],[[1,3,5,7,11,12,14],[2,4,6,8,9,10,13]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,7,8,10,13],[2,4,5,9,11,12,14]],[[1,3,6,8,10,13,14],[2,4,5,7,9,11,12]],[[1,3,6,9,11,12,13],[2,4,5,7,8,10,14]],[[1,4,5,7,9,13,14],[2,3,6,8,10,11,12]],[[1,4,5,8,9,10,12],[2,3,6,7,11,13,14]],[[1,4,5,8,10,12,13],[2,3,6,7,9,11,14]],[[1,4,6,7,9,13,14],[2,3,5,8,10,11,12]],[[1,4,6,7,10,11,12],[2,3,5,8,9,13,14]],[[1,4,6,8,11,12,14],[2,3,5,7,9,10,13]],[[1,5,6,7,8,9,11],[2,3,4,10,12,13,14]]];
Gx[5]:=Group([(1,8,11,14)(3,6,9,12)(5,13)(7,10)]);
# Design 463: 1 resolution(s), autom. group order 4, simple
Rx[6]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,6,8],[7,9,10,11,12,13,14]],[[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]],[[1,2,3,4,12,13,14],[5,6,7,8,9,10,11]],[[1,2,3,7,9,10,12],[4,5,6,8,11,13,14]],[[1,2,4,7,11,13,14],[3,5,6,8,9,10,12]],[[1,2,5,6,9,12,13],[3,4,7,8,10,11,14]],[[1,2,5,7,9,10,14],[3,4,6,8,11,12,13]],[[1,2,5,8,10,12,13],[3,4,6,7,9,11,14]],[[1,2,6,8,9,11,14],[3,4,5,7,10,12,13]],[[1,2,6,8,10,11,14],[3,4,5,7,9,12,13]],[[1,2,7,8,11,12,13],[3,4,5,6,9,10,14]],[[1,3,4,8,10,13,14],[2,5,6,7,9,11,12]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,7,8,11,13],[2,4,6,9,10,12,14]],[[1,3,5,10,11,12,14],[2,4,6,7,8,9,13]],[[1,3,6,7,9,11,13],[2,4,5,8,10,12,14]],[[1,3,6,8,9,10,13],[2,4,5,7,11,12,14]],[[1,3,7,8,9,12,14],[2,4,5,6,10,11,13]],[[1,4,5,7,8,9,14],[2,3,6,10,11,12,13]],[[1,4,5,8,9,11,12],[2,3,6,7,10,13,14]],[[1,4,5,9,10,11,13],[2,3,6,7,8,12,14]],[[1,4,6,7,8,10,12],[2,3,5,9,11,13,14]],[[1,4,6,7,10,11,12],[2,3,5,8,9,13,14]],[[1,4,6,9,12,13,14],[2,3,5,7,8,10,11]],[[1,5,6,7,10,13,14],[2,3,4,8,9,11,12]]];
Gx[6]:=Group([(1,4,13,14)(2,12)(6,7,9,11)(8,10)]);
# Design 665: 1 resolution(s), autom. group order 4, simple
Rx[7]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,12,13,14],[5,6,7,8,9,10,11]],[[1,2,3,7,8,10,12],[4,5,6,9,11,13,14]],[[1,2,4,8,10,13,14],[3,5,6,7,9,11,12]],[[1,2,5,6,8,11,13],[3,4,7,9,10,12,14]],[[1,2,5,6,9,10,12],[3,4,7,8,11,13,14]],[[1,2,5,7,9,11,14],[3,4,6,8,10,12,13]],[[1,2,6,9,11,13,14],[3,4,5,7,8,10,12]],[[1,2,7,8,11,12,14],[3,4,5,6,9,10,13]],[[1,2,7,9,10,12,13],[3,4,5,6,8,11,14]],[[1,3,4,7,9,11,14],[2,5,6,8,10,12,13]],[[1,3,5,6,12,13,14],[2,4,7,8,9,10,11]],[[1,3,5,7,8,9,13],[2,4,6,10,11,12,14]],[[1,3,5,10,11,12,14],[2,4,6,7,8,9,13]],[[1,3,6,7,10,11,13],[2,4,5,8,9,12,14]],[[1,3,6,8,9,12,14],[2,4,5,7,10,11,13]],[[1,3,8,9,10,11,13],[2,4,5,6,7,12,14]],[[1,4,5,7,10,13,14],[2,3,6,8,9,11,12]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,5,9,10,11,12],[2,3,6,7,8,13,14]],[[1,4,6,7,8,11,12],[2,3,5,9,10,13,14]],[[1,4,6,7,9,12,13],[2,3,5,8,10,11,14]],[[1,4,6,8,9,10,14],[2,3,5,7,11,12,13]],[[1,5,6,7,8,10,14],[2,3,4,9,11,12,13]]];
Gx[7]:=Group([(1,3)(2,4)(8,9)(10,11)(12,14),(1,12)(2,8)(3,14)(4,9)(6,13)(10,11)]);
# Design 674: 1 resolution(s), autom. group order 4, simple
Rx[8]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,9,11,12,14],[3,5,6,7,8,10,13]],[[1,2,5,6,8,9,13],[3,4,7,10,11,12,14]],[[1,2,5,6,10,11,14],[3,4,7,8,9,12,13]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,8,9,13,14],[3,4,5,6,10,11,12]],[[1,2,7,10,11,12,13],[3,4,5,6,8,9,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,7,8,11,12],[2,4,6,9,10,13,14]],[[1,3,5,7,10,13,14],[2,4,6,8,9,11,12]],[[1,3,5,9,11,12,13],[2,4,6,7,8,10,14]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,6,8,9,10,12],[2,4,5,7,11,13,14]],[[1,3,6,8,11,13,14],[2,4,5,7,9,10,12]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,8,10,12,14],[2,3,6,7,9,11,13]],[[1,4,5,9,10,11,13],[2,3,6,7,8,12,14]],[[1,4,6,7,8,10,13],[2,3,5,9,11,12,14]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,4,6,8,11,12,13],[2,3,5,7,9,10,14]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]];
Gx[8]:=Group([(1,2)(3,4)(8,9)(10,11),(1,3,2,4)(5,6)(8,11,9,10)(12,13)]);
# Design 678: 1 resolution(s), autom. group order 4, simple
Rx[9]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,8,11,12,14],[3,5,6,7,9,10,13]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]],[[1,2,5,7,9,11,12],[3,4,6,8,10,13,14]],[[1,2,6,9,11,12,14],[3,4,5,7,8,10,13]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,2,7,9,10,13,14],[3,4,5,6,8,11,12]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,10,11,14],[2,4,7,8,9,12,13]],[[1,3,5,8,9,12,13],[2,4,6,7,10,11,14]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[1,3,6,7,8,9,14],[2,4,5,10,11,12,13]],[[1,3,6,7,12,13,14],[2,4,5,8,9,10,11]],[[1,3,7,8,9,10,11],[2,4,5,6,12,13,14]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,7,11,13,14],[2,3,6,8,9,10,12]],[[1,4,5,9,10,12,14],[2,3,6,7,8,11,13]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,4,6,8,10,12,13],[2,3,5,7,9,11,14]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]];
Gx[9]:=Group([(1,3)(2,4)(8,9)(10,11)(12,13),(1,8)(2,13)(3,9)(4,12)(6,14)(10,11)]);
# Design 682: 1 resolution(s), autom. group order 4, simple
Rx[10]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,8,11,12,14],[3,5,6,7,9,10,13]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]],[[1,2,5,7,9,10,12],[3,4,6,8,11,13,14]],[[1,2,6,9,10,12,14],[3,4,5,7,8,11,13]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,2,7,9,11,13,14],[3,4,5,6,8,10,12]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,10,13,14],[2,4,7,8,9,11,12]],[[1,3,5,7,8,11,14],[2,4,6,9,10,12,13]],[[1,3,5,9,11,12,14],[2,4,6,7,8,10,13]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,6,8,11,12,13],[2,4,5,7,9,10,14]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,7,12,13,14],[2,3,6,8,9,10,11]],[[1,4,5,8,9,10,11],[2,3,6,7,12,13,14]],[[1,4,5,10,11,12,13],[2,3,6,7,8,9,14]],[[1,4,6,7,8,9,14],[2,3,5,10,11,12,13]],[[1,4,6,7,10,11,14],[2,3,5,8,9,12,13]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]];
Gx[10]:=Group([(1,4)(2,3)(8,9)(10,11)(12,13),(1,8)(2,10)(3,11)(4,9)(7,14)(12,13)]);
# Design 705: 1 resolution(s), autom. group order 4, simple
Rx[11]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,8,10,12,14],[3,5,6,7,9,11,13]],[[1,2,5,6,8,9,13],[3,4,7,10,11,12,14]],[[1,2,5,7,11,12,13],[3,4,6,8,9,10,14]],[[1,2,5,9,12,13,14],[3,4,6,7,8,10,11]],[[1,2,6,7,9,10,11],[3,4,5,8,12,13,14]],[[1,2,6,8,9,11,14],[3,4,5,7,10,12,13]],[[1,2,7,10,11,13,14],[3,4,5,6,8,9,12]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,7,8,11,14],[2,4,6,9,10,12,13]],[[1,3,5,8,10,11,13],[2,4,6,7,9,12,14]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,6,9,10,12,13],[2,4,5,7,8,11,14]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,6,10,13,14],[2,3,7,8,9,11,12]],[[1,4,5,7,9,10,14],[2,3,6,8,11,12,13]],[[1,4,5,9,10,11,12],[2,3,6,7,8,13,14]],[[1,4,6,7,8,13,14],[2,3,5,9,10,11,12]],[[1,4,6,8,11,12,13],[2,3,5,7,9,10,14]],[[1,4,7,8,9,11,12],[2,3,5,6,10,13,14]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]];
Gx[11]:=Group([(1,2)(3,4),(1,3,2,4)(8,9)(10,11)(12,13)]);
# Design 731: 1 resolution(s), autom. group order 4, simple
Rx[12]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,6,8],[7,9,10,11,12,13,14]],[[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]],[[1,2,3,5,9,12,13],[4,6,7,8,10,11,14]],[[1,2,3,6,10,12,14],[4,5,7,8,9,11,13]],[[1,2,4,7,8,13,14],[3,5,6,9,10,11,12]],[[1,2,4,7,9,10,14],[3,5,6,8,11,12,13]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,5,8,9,11,13],[3,4,6,7,10,12,14]],[[1,2,6,8,10,12,13],[3,4,5,7,9,11,14]],[[1,2,6,9,11,13,14],[3,4,5,7,8,10,12]],[[1,2,7,8,10,11,12],[3,4,5,6,9,13,14]],[[1,3,4,7,10,11,13],[2,5,6,8,9,12,14]],[[1,3,4,8,12,13,14],[2,5,6,7,9,10,11]],[[1,3,5,8,9,10,14],[2,4,6,7,11,12,13]],[[1,3,5,10,11,13,14],[2,4,6,7,8,9,12]],[[1,3,6,7,8,11,13],[2,4,5,9,10,12,14]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,7,8,9,12,14],[2,4,5,6,10,11,13]],[[1,4,5,6,11,12,14],[2,3,7,8,9,10,13]],[[1,4,5,7,9,12,13],[2,3,6,8,10,11,14]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,6,8,9,11,14],[2,3,5,7,10,12,13]],[[1,4,6,9,10,12,13],[2,3,5,7,8,11,14]],[[1,5,6,7,8,9,10],[2,3,4,11,12,13,14]],[[1,5,6,7,10,13,14],[2,3,4,8,9,11,12]]];
Gx[12]:=Group([(1,6)(2,4)(3,5)(9,13)(10,11)(12,14),(1,10,6,11)(2,9,4,13)(3,12,5,14)(7,8)]);
# Design 760: 1 resolution(s), autom. group order 4, simple
Rx[13]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,6,8],[7,9,10,11,12,13,14]],[[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]],[[1,2,3,4,12,13,14],[5,6,7,8,9,10,11]],[[1,2,3,7,9,12,13],[4,5,6,8,10,11,14]],[[1,2,4,8,9,10,12],[3,5,6,7,11,13,14]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,8,9,14],[3,4,6,10,11,12,13]],[[1,2,5,10,11,12,13],[3,4,6,7,8,9,14]],[[1,2,6,7,9,11,14],[3,4,5,8,10,12,13]],[[1,2,6,8,10,11,13],[3,4,5,7,9,12,14]],[[1,2,7,8,11,12,14],[3,4,5,6,9,10,13]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,7,9,10,13],[2,4,6,8,11,12,14]],[[1,3,5,8,9,11,12],[2,4,6,7,10,13,14]],[[1,3,6,7,10,11,12],[2,4,5,8,9,13,14]],[[1,3,6,8,9,10,14],[2,4,5,7,11,12,13]],[[1,3,7,8,10,13,14],[2,4,5,6,9,11,12]],[[1,4,5,7,8,10,11],[2,3,6,9,12,13,14]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,9,11,13,14],[2,3,6,7,8,10,12]],[[1,4,6,7,8,12,13],[2,3,5,9,10,11,14]],[[1,4,6,7,9,11,13],[2,3,5,8,10,12,14]],[[1,4,6,9,10,12,14],[2,3,5,7,8,11,13]],[[1,5,6,8,9,12,13],[2,3,4,7,10,11,14]]];
Gx[13]:=Group([(1,4)(2,3)(5,6)(9,14)(10,13)(11,12),(1,11,4,12)(2,10,3,13)(5,9,6,14)(7,8)]);
# Design 798: 1 resolution(s), autom. group order 4, simple
Rx[14]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,6,8],[7,9,10,11,12,13,14]],[[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]],[[1,2,3,5,9,12,13],[4,6,7,8,10,11,14]],[[1,2,3,6,10,12,14],[4,5,7,8,9,11,13]],[[1,2,4,7,8,9,14],[3,5,6,10,11,12,13]],[[1,2,4,7,11,12,13],[3,5,6,8,9,10,14]],[[1,2,5,7,9,13,14],[3,4,6,8,10,11,12]],[[1,2,5,8,10,11,14],[3,4,6,7,9,12,13]],[[1,2,6,8,11,13,14],[3,4,5,7,9,10,12]],[[1,2,6,9,10,12,13],[3,4,5,7,8,11,14]],[[1,2,7,8,10,11,12],[3,4,5,6,9,13,14]],[[1,3,4,7,10,11,13],[2,5,6,8,9,12,14]],[[1,3,4,8,12,13,14],[2,5,6,7,9,10,11]],[[1,3,5,8,11,12,13],[2,4,6,7,9,10,14]],[[1,3,5,9,10,11,14],[2,4,6,7,8,12,13]],[[1,3,6,7,8,9,11],[2,4,5,10,12,13,14]],[[1,3,6,7,10,13,14],[2,4,5,8,9,11,12]],[[1,3,7,8,9,12,14],[2,4,5,6,10,11,13]],[[1,4,5,6,11,12,14],[2,3,7,8,9,10,13]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,8,9,10,13],[2,3,6,7,11,12,14]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,4,6,9,11,13,14],[2,3,5,7,8,10,12]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]],[[1,5,6,7,9,11,12],[2,3,4,8,10,13,14]]];
Gx[14]:=Group([(1,6)(2,4)(3,5)(9,13)(10,11)(12,14),(1,11,6,10)(2,9,4,13)(3,14,5,12)(7,8)]);
# Design 804: 1 resolution(s), autom. group order 4, simple
Rx[15]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,6,8],[7,9,10,11,12,13,14]],[[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]],[[1,2,3,4,12,13,14],[5,6,7,8,9,10,11]],[[1,2,3,7,9,10,12],[4,5,6,8,11,13,14]],[[1,2,4,8,9,12,13],[3,5,6,7,10,11,14]],[[1,2,5,6,9,11,14],[3,4,7,8,10,12,13]],[[1,2,5,7,8,11,12],[3,4,6,9,10,13,14]],[[1,2,5,9,10,13,14],[3,4,6,7,8,11,12]],[[1,2,6,7,11,12,14],[3,4,5,8,9,10,13]],[[1,2,6,8,10,13,14],[3,4,5,7,9,11,12]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,3,4,8,10,11,14],[2,5,6,7,9,12,13]],[[1,3,5,6,10,11,13],[2,4,7,8,9,12,14]],[[1,3,5,7,10,12,13],[2,4,6,8,9,11,14]],[[1,3,5,8,9,12,14],[2,4,6,7,10,11,13]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,6,8,11,12,13],[2,4,5,7,9,10,14]],[[1,3,7,8,9,11,14],[2,4,5,6,10,12,13]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,7,9,11,13],[2,3,6,8,10,12,14]],[[1,4,5,11,12,13,14],[2,3,6,7,8,9,10]],[[1,4,6,7,8,9,13],[2,3,5,10,11,12,14]],[[1,4,6,7,10,12,14],[2,3,5,8,9,11,13]],[[1,4,6,9,10,11,12],[2,3,5,7,8,13,14]],[[1,5,6,8,9,10,12],[2,3,4,7,11,13,14]]];
Gx[15]:=Group([(1,4)(2,3)(5,6)(9,14)(10,13)(11,12),(1,9,4,14)(2,10,3,13)(5,11,6,12)(7,8)]);
# Design 821: 1 resolution(s), autom. group order 4, simple
Rx[16]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,6,8],[7,9,10,11,12,13,14]],[[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]],[[1,2,3,5,9,12,13],[4,6,7,8,10,11,14]],[[1,2,3,6,10,12,14],[4,5,7,8,9,11,13]],[[1,2,4,7,8,9,14],[3,5,6,10,11,12,13]],[[1,2,4,7,10,13,14],[3,5,6,8,9,11,12]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,5,8,9,11,13],[3,4,6,7,10,12,14]],[[1,2,6,8,11,13,14],[3,4,5,7,9,10,12]],[[1,2,6,9,10,12,13],[3,4,5,7,8,11,14]],[[1,2,7,8,10,11,12],[3,4,5,6,9,13,14]],[[1,3,4,7,10,11,13],[2,5,6,8,9,12,14]],[[1,3,4,8,12,13,14],[2,5,6,7,9,10,11]],[[1,3,5,8,10,13,14],[2,4,6,7,9,11,12]],[[1,3,5,9,10,11,14],[2,4,6,7,8,12,13]],[[1,3,6,7,8,9,11],[2,4,5,10,12,13,14]],[[1,3,6,7,11,12,13],[2,4,5,8,9,10,14]],[[1,3,7,8,9,12,14],[2,4,5,6,10,11,13]],[[1,4,5,6,11,12,14],[2,3,7,8,9,10,13]],[[1,4,5,7,9,12,13],[2,3,6,8,10,11,14]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,4,6,9,11,13,14],[2,3,5,7,8,10,12]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]],[[1,5,6,7,9,10,14],[2,3,4,8,11,12,13]]];
Gx[16]:=Group([(1,6)(2,4)(3,5)(9,13)(10,11)(12,14),(1,11,6,10)(2,9,4,13)(3,14,5,12)(7,8)]);
# Design 838: 1 resolution(s), autom. group order 4, simple
Rx[17]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,9,11,12,14],[3,5,6,7,8,10,13]],[[1,2,5,6,8,9,13],[3,4,7,10,11,12,14]],[[1,2,5,6,10,11,14],[3,4,7,8,9,12,13]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,8,9,13,14],[3,4,5,6,10,11,12]],[[1,2,7,10,11,12,13],[3,4,5,6,8,9,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,7,8,11,12],[2,4,6,9,10,13,14]],[[1,3,5,7,11,13,14],[2,4,6,8,9,10,12]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,7,9,10,14],[2,4,5,8,11,12,13]],[[1,3,6,8,9,11,12],[2,4,5,7,10,13,14]],[[1,3,6,8,11,13,14],[2,4,5,7,9,10,12]],[[1,4,5,7,9,11,14],[2,3,6,8,10,12,13]],[[1,4,5,8,10,11,13],[2,3,6,7,9,12,14]],[[1,4,5,8,10,12,14],[2,3,6,7,9,11,13]],[[1,4,6,7,8,10,13],[2,3,5,9,11,12,14]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,9,11,12,13],[2,3,5,7,8,10,14]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]];
Gx[17]:=Group([(1,2)(3,4)(8,9)(10,11),(1,3,2,4)(5,6)(8,11,9,10)(12,13)]);
# Design 844: 1 resolution(s), autom. group order 4, simple
Rx[18]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,9,11,12,14],[3,5,6,7,8,10,13]],[[1,2,5,6,8,9,14],[3,4,7,10,11,12,13]],[[1,2,5,6,10,11,13],[3,4,7,8,9,12,14]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[1,2,7,10,11,13,14],[3,4,5,6,8,9,12]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,7,8,10,14],[2,4,6,9,11,12,13]],[[1,3,5,7,11,12,14],[2,4,6,8,9,10,13]],[[1,3,5,9,11,13,14],[2,4,6,7,8,10,12]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,6,8,9,11,13],[2,4,5,7,10,12,14]],[[1,3,6,8,10,12,13],[2,4,5,7,9,11,14]],[[1,4,5,7,8,11,13],[2,3,6,9,10,12,14]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,8,13,14],[2,3,5,9,10,11,12]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[1,4,6,8,11,12,14],[2,3,5,7,9,10,13]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]];
Gx[18]:=Group([(1,2)(3,4)(8,9)(10,11),(1,3,2,4)(5,6)(8,11,9,10)(12,13)]);
# Design 962: 1 resolution(s), autom. group order 4, simple
Rx[19]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,6,8],[7,9,10,11,12,13,14]],[[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]],[[1,2,3,5,9,12,13],[4,6,7,8,10,11,14]],[[1,2,3,6,10,12,14],[4,5,7,8,9,11,13]],[[1,2,4,7,8,9,14],[3,5,6,10,11,12,13]],[[1,2,4,7,11,12,13],[3,5,6,8,9,10,14]],[[1,2,5,7,10,11,14],[3,4,6,8,9,12,13]],[[1,2,5,8,9,13,14],[3,4,6,7,10,11,12]],[[1,2,6,8,11,13,14],[3,4,5,7,9,10,12]],[[1,2,6,9,10,12,13],[3,4,5,7,8,11,14]],[[1,2,7,8,10,11,12],[3,4,5,6,9,13,14]],[[1,3,4,7,12,13,14],[2,5,6,8,9,10,11]],[[1,3,4,8,10,11,13],[2,5,6,7,9,12,14]],[[1,3,5,8,11,12,13],[2,4,6,7,9,10,14]],[[1,3,5,9,10,11,14],[2,4,6,7,8,12,13]],[[1,3,6,7,8,9,11],[2,4,5,10,12,13,14]],[[1,3,6,7,10,13,14],[2,4,5,8,9,11,12]],[[1,3,7,8,9,12,14],[2,4,5,6,10,11,13]],[[1,4,5,6,11,12,14],[2,3,7,8,9,10,13]],[[1,4,5,7,9,10,13],[2,3,6,8,11,12,14]],[[1,4,5,8,10,12,14],[2,3,6,7,9,11,13]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,4,6,9,11,13,14],[2,3,5,7,8,10,12]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]],[[1,5,6,7,9,11,12],[2,3,4,8,10,13,14]]];
Gx[19]:=Group([(1,6)(2,4)(3,5)(9,13)(10,11)(12,14),(1,10,6,11)(2,13,4,9)(3,12,5,14)]);
# Design 1016: 1 resolution(s), autom. group order 4, simple
Rx[20]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,6,8],[7,9,10,11,12,13,14]],[[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]],[[1,2,3,5,9,12,13],[4,6,7,8,10,11,14]],[[1,2,3,6,10,12,14],[4,5,7,8,9,11,13]],[[1,2,4,7,8,9,14],[3,5,6,10,11,12,13]],[[1,2,4,7,10,13,14],[3,5,6,8,9,11,12]],[[1,2,5,7,9,11,13],[3,4,6,8,10,12,14]],[[1,2,5,8,11,12,14],[3,4,6,7,9,10,13]],[[1,2,6,8,11,13,14],[3,4,5,7,9,10,12]],[[1,2,6,9,10,12,13],[3,4,5,7,8,11,14]],[[1,2,7,8,10,11,12],[3,4,5,6,9,13,14]],[[1,3,4,7,12,13,14],[2,5,6,8,9,10,11]],[[1,3,4,8,10,11,13],[2,5,6,7,9,12,14]],[[1,3,5,8,10,13,14],[2,4,6,7,9,11,12]],[[1,3,5,9,10,11,14],[2,4,6,7,8,12,13]],[[1,3,6,7,8,9,11],[2,4,5,10,12,13,14]],[[1,3,6,7,11,12,13],[2,4,5,8,9,10,14]],[[1,3,7,8,9,12,14],[2,4,5,6,10,11,13]],[[1,4,5,6,11,12,14],[2,3,7,8,9,10,13]],[[1,4,5,7,10,11,12],[2,3,6,8,9,13,14]],[[1,4,5,8,9,12,13],[2,3,6,7,10,11,14]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,4,6,9,11,13,14],[2,3,5,7,8,10,12]],[[1,5,6,7,8,10,13],[2,3,4,9,11,12,14]],[[1,5,6,7,9,10,14],[2,3,4,8,11,12,13]]];
Gx[20]:=Group([(1,6)(2,4)(3,5)(9,13)(10,11)(12,14),(1,10,6,11)(2,13,4,9)(3,12,5,14)]);
# Design 1028: 1 resolution(s), autom. group order 4, simple
Rx[21]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,9,11,12,14],[3,5,6,7,8,10,13]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,7,9,10,13],[3,4,6,8,11,12,14]],[[1,2,6,9,10,13,14],[3,4,5,7,8,11,12]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,3,4,8,10,13,14],[2,5,6,7,9,11,12]],[[1,3,5,6,9,10,12],[2,4,7,8,11,13,14]],[[1,3,5,7,8,11,14],[2,4,6,9,10,12,13]],[[1,3,5,9,11,13,14],[2,4,6,7,8,10,12]],[[1,3,6,7,9,11,13],[2,4,5,8,10,12,14]],[[1,3,6,8,11,12,13],[2,4,5,7,9,10,14]],[[1,3,7,9,10,12,14],[2,4,5,6,8,11,13]],[[1,4,5,7,12,13,14],[2,3,6,8,9,10,11]],[[1,4,5,8,9,10,11],[2,3,6,7,12,13,14]],[[1,4,5,10,11,12,13],[2,3,6,7,8,9,14]],[[1,4,6,7,8,9,14],[2,3,5,10,11,12,13]],[[1,4,6,7,10,11,14],[2,3,5,8,9,12,13]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]];
Gx[21]:=Group([(1,4)(2,3)(8,9)(10,11)(12,13),(1,8)(2,10)(3,11)(4,9)(7,14)(12,13)]);
# Design 1061: 1 resolution(s), autom. group order 4, simple
Rx[22]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,9,10,14],[4,5,6,7,11,12,13]],[[1,2,4,8,11,12,14],[3,5,6,7,9,10,13]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,5,9,10,11,13],[3,4,6,7,8,12,14]],[[1,2,6,7,9,12,14],[3,4,5,8,10,11,13]],[[1,2,6,8,10,12,13],[3,4,5,7,9,11,14]],[[1,2,7,9,10,11,13],[3,4,5,6,8,12,14]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,11,12,13],[2,4,7,8,9,10,14]],[[1,3,5,7,8,10,14],[2,4,6,9,11,12,13]],[[1,3,5,10,12,13,14],[2,4,6,7,8,9,11]],[[1,3,6,7,10,11,14],[2,4,5,8,9,12,13]],[[1,3,6,8,9,11,12],[2,4,5,7,10,13,14]],[[1,3,7,8,9,12,13],[2,4,5,6,10,11,14]],[[1,4,5,6,9,13,14],[2,3,7,8,10,11,12]],[[1,4,5,7,9,10,12],[2,3,6,8,11,13,14]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,6,7,8,10,13],[2,3,5,9,11,12,14]],[[1,4,6,9,10,12,14],[2,3,5,7,8,11,13]],[[1,4,7,8,11,13,14],[2,3,5,6,9,10,12]],[[1,5,6,7,8,9,11],[2,3,4,10,12,13,14]]];
Gx[22]:=Group([(2,10)(4,14)(5,7)(6,8)(9,11),(1,13)(2,9)(3,12)(4,8)(6,14)(10,11)]);
# Design 1121: 1 resolution(s), autom. group order 4, simple
Rx[23]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,6,8],[7,9,10,11,12,13,14]],[[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]],[[1,2,3,4,12,13,14],[5,6,7,8,9,10,11]],[[1,2,3,7,9,12,13],[4,5,6,8,10,11,14]],[[1,2,4,8,9,10,12],[3,5,6,7,11,13,14]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,8,9,14],[3,4,6,10,11,12,13]],[[1,2,5,10,11,12,13],[3,4,6,7,8,9,14]],[[1,2,6,7,9,11,14],[3,4,5,8,10,12,13]],[[1,2,6,8,10,11,13],[3,4,5,7,9,12,14]],[[1,2,7,8,11,12,14],[3,4,5,6,9,10,13]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,6,9,11,12],[2,4,7,8,10,13,14]],[[1,3,5,7,10,13,14],[2,4,6,8,9,11,12]],[[1,3,5,8,11,12,14],[2,4,6,7,9,10,13]],[[1,3,6,7,10,11,12],[2,4,5,8,9,13,14]],[[1,3,6,8,9,10,14],[2,4,5,7,11,12,13]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,7,8,10,11],[2,3,6,9,12,13,14]],[[1,4,5,7,9,11,13],[2,3,6,8,10,12,14]],[[1,4,5,9,10,12,14],[2,3,6,7,8,11,13]],[[1,4,6,7,8,12,13],[2,3,5,9,10,11,14]],[[1,4,6,7,10,12,14],[2,3,5,8,9,11,13]],[[1,4,6,9,11,13,14],[2,3,5,7,8,10,12]],[[1,5,6,8,9,12,13],[2,3,4,7,10,11,14]]];
Gx[23]:=Group([(1,4)(2,3)(5,6)(9,14)(10,13)(11,12),(1,11,4,12)(2,10,3,13)(5,9,6,14)(7,8)]);
# Design 1146: 1 resolution(s), autom. group order 4, simple
Rx[24]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,12,13,14],[5,6,7,8,9,10,11]],[[1,2,3,7,8,10,12],[4,5,6,9,11,13,14]],[[1,2,4,8,10,13,14],[3,5,6,7,9,11,12]],[[1,2,5,6,8,11,12],[3,4,7,9,10,13,14]],[[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]],[[1,2,5,7,9,10,14],[3,4,6,8,11,12,13]],[[1,2,6,9,10,13,14],[3,4,5,7,8,11,12]],[[1,2,7,8,11,12,13],[3,4,5,6,9,10,14]],[[1,2,7,9,11,12,14],[3,4,5,6,8,10,13]],[[1,3,4,7,9,11,14],[2,5,6,8,10,12,13]],[[1,3,5,6,12,13,14],[2,4,7,8,9,10,11]],[[1,3,5,7,8,9,13],[2,4,6,10,11,12,14]],[[1,3,5,10,11,12,14],[2,4,6,7,8,9,13]],[[1,3,6,7,10,11,13],[2,4,5,8,9,12,14]],[[1,3,6,8,9,12,14],[2,4,5,7,10,11,13]],[[1,3,8,9,10,11,13],[2,4,5,6,7,12,14]],[[1,4,5,7,10,12,13],[2,3,6,8,9,11,14]],[[1,4,5,8,11,13,14],[2,3,6,7,9,10,12]],[[1,4,5,9,10,11,12],[2,3,6,7,8,13,14]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[1,4,6,7,9,12,13],[2,3,5,8,10,11,14]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,5,6,7,8,10,14],[2,3,4,9,11,12,13]]];
Gx[24]:=Group([(1,12)(3,14)(5,6)(8,11)(9,10),(1,3)(2,4)(8,9)(10,11)(12,14)]);
# Design 1151: 1 resolution(s), autom. group order 4, simple
Rx[25]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,6,8],[7,9,10,11,12,13,14]],[[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]],[[1,2,3,4,12,13,14],[5,6,7,8,9,10,11]],[[1,2,3,7,9,10,12],[4,5,6,8,11,13,14]],[[1,2,4,7,9,13,14],[3,5,6,8,10,11,12]],[[1,2,5,6,10,12,13],[3,4,7,8,9,11,14]],[[1,2,5,7,8,10,14],[3,4,6,9,11,12,13]],[[1,2,5,8,10,11,13],[3,4,6,7,9,12,14]],[[1,2,6,8,11,12,14],[3,4,5,7,9,10,13]],[[1,2,6,9,11,13,14],[3,4,5,7,8,10,12]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,3,4,8,11,12,13],[2,5,6,7,9,10,14]],[[1,3,5,6,9,11,12],[2,4,7,8,10,13,14]],[[1,3,5,7,11,13,14],[2,4,6,8,9,10,12]],[[1,3,5,8,9,13,14],[2,4,6,7,10,11,12]],[[1,3,6,7,10,11,14],[2,4,5,8,9,12,13]],[[1,3,6,8,9,10,14],[2,4,5,7,11,12,13]],[[1,3,7,8,10,12,13],[2,4,5,6,9,11,14]],[[1,4,5,7,8,9,11],[2,3,6,10,12,13,14]],[[1,4,5,9,10,12,14],[2,3,6,7,8,11,13]],[[1,4,5,10,11,12,14],[2,3,6,7,8,9,13]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,7,10,11,13],[2,3,5,8,9,12,14]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,5,6,7,9,12,13],[2,3,4,8,10,11,14]]];
Gx[25]:=Group([(2,12)(3,14)(6,10)(7,11)(8,9),(1,4)(2,3)(7,8)(9,11)(12,14)]);
# Design 1172: 1 resolution(s), autom. group order 4, simple
Rx[26]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,9,11,12,14],[3,5,6,7,8,10,13]],[[1,2,5,6,8,9,14],[3,4,7,10,11,12,13]],[[1,2,5,6,10,11,13],[3,4,7,8,9,12,14]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[1,2,7,10,11,13,14],[3,4,5,6,8,9,12]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,7,8,11,14],[2,4,6,9,10,12,13]],[[1,3,5,7,11,12,14],[2,4,6,8,9,10,13]],[[1,3,5,9,10,13,14],[2,4,6,7,8,11,12]],[[1,3,6,7,9,10,12],[2,4,5,8,11,13,14]],[[1,3,6,8,9,11,13],[2,4,5,7,10,12,14]],[[1,3,6,8,11,12,13],[2,4,5,7,9,10,14]],[[1,4,5,7,9,11,13],[2,3,6,8,10,12,14]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,5,8,10,12,13],[2,3,6,7,9,11,14]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,7,8,13,14],[2,3,5,9,10,11,12]],[[1,4,6,9,11,12,14],[2,3,5,7,8,10,13]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]];
Gx[26]:=Group([(1,2)(3,4)(8,9)(10,11),(1,3,2,4)(5,6)(8,11,9,10)(12,13)]);
# Design 1216: 1 resolution(s), autom. group order 4, simple
Rx[27]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,6,8],[7,9,10,11,12,13,14]],[[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]],[[1,2,3,4,12,13,14],[5,6,7,8,9,10,11]],[[1,2,3,7,8,9,12],[4,5,6,10,11,13,14]],[[1,2,4,7,10,13,14],[3,5,6,8,9,11,12]],[[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]],[[1,2,5,7,10,11,12],[3,4,6,8,9,13,14]],[[1,2,5,9,11,12,14],[3,4,6,7,8,10,13]],[[1,2,6,8,9,12,14],[3,4,5,7,10,11,13]],[[1,2,6,8,10,11,13],[3,4,5,7,9,12,14]],[[1,2,7,8,11,13,14],[3,4,5,6,9,10,12]],[[1,3,4,9,10,11,14],[2,5,6,7,8,12,13]],[[1,3,5,6,11,13,14],[2,4,7,8,9,10,12]],[[1,3,5,7,11,12,13],[2,4,6,8,9,10,14]],[[1,3,5,8,9,13,14],[2,4,6,7,10,11,12]],[[1,3,6,7,10,12,14],[2,4,5,8,9,11,13]],[[1,3,6,8,10,11,12],[2,4,5,7,9,13,14]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,7,8,9,11],[2,3,6,10,12,13,14]],[[1,4,5,8,10,12,13],[2,3,6,7,9,11,14]],[[1,4,5,8,10,12,14],[2,3,6,7,9,11,13]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[1,4,6,7,9,12,13],[2,3,5,8,10,11,14]],[[1,4,6,9,11,12,13],[2,3,5,7,8,10,14]],[[1,5,6,7,9,10,14],[2,3,4,8,11,12,13]]];
Gx[27]:=Group([(2,11,13,8)(3,9,12,5)(6,10)(7,14)]);
# Design 1263: 1 resolution(s), autom. group order 4, simple
Rx[28]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,8,9,11,14],[3,5,6,7,10,12,13]],[[1,2,5,6,9,12,14],[3,4,7,8,10,11,13]],[[1,2,5,7,10,12,14],[3,4,6,8,9,11,13]],[[1,2,5,8,10,11,13],[3,4,6,7,9,12,14]],[[1,2,6,7,9,10,13],[3,4,5,8,11,12,14]],[[1,2,6,8,11,12,13],[3,4,5,7,9,10,14]],[[1,2,7,9,11,13,14],[3,4,5,6,8,10,12]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,8,13,14],[2,4,7,9,10,11,12]],[[1,3,5,7,9,11,12],[2,4,6,8,10,13,14]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,7,8,13,14],[2,4,5,9,10,11,12]],[[1,3,6,9,11,12,14],[2,4,5,7,8,10,13]],[[1,3,7,8,10,11,12],[2,4,5,6,9,13,14]],[[1,4,5,6,11,12,13],[2,3,7,8,9,10,14]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,10,12,13,14],[2,3,6,7,8,9,11]],[[1,4,6,7,10,11,14],[2,3,5,8,9,12,13]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,4,7,8,9,12,13],[2,3,5,6,10,11,14]],[[1,5,6,7,8,9,10],[2,3,4,11,12,13,14]]];
Gx[28]:=Group([(1,3)(2,4)(5,7)(8,13)(9,12),(1,8)(2,12)(3,13)(4,9)(5,7)(6,14)(10,11)]);
# Design 1264: 1 resolution(s), autom. group order 4, simple
Rx[29]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,12,13,14],[4,5,6,7,9,10,11]],[[1,2,4,8,10,11,14],[3,5,6,7,9,12,13]],[[1,2,5,6,10,12,14],[3,4,7,8,9,11,13]],[[1,2,5,7,11,13,14],[3,4,6,8,9,10,12]],[[1,2,5,9,10,13,14],[3,4,6,7,8,11,12]],[[1,2,6,7,9,10,13],[3,4,5,8,11,12,14]],[[1,2,6,8,9,11,12],[3,4,5,7,10,13,14]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,3,4,9,10,12,14],[2,5,6,7,8,11,13]],[[1,3,5,6,8,9,14],[2,4,7,10,11,12,13]],[[1,3,5,7,8,10,11],[2,4,6,9,12,13,14]],[[1,3,5,9,11,12,13],[2,4,6,7,8,10,14]],[[1,3,6,7,8,13,14],[2,4,5,9,10,11,12]],[[1,3,6,10,11,12,13],[2,4,5,7,8,9,14]],[[1,3,7,9,10,11,14],[2,4,5,6,8,12,13]],[[1,4,5,6,9,11,13],[2,3,7,8,10,12,14]],[[1,4,5,7,11,12,14],[2,3,6,8,9,10,13]],[[1,4,5,8,10,12,13],[2,3,6,7,9,11,14]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,4,6,8,11,13,14],[2,3,5,7,9,10,12]],[[1,4,7,8,9,10,13],[2,3,5,6,11,12,14]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]];
Gx[29]:=Group([(1,2)(3,4)(6,7)(10,13)(11,12),(1,11)(2,12)(3,10)(4,13)(5,14)(8,9)]);
# Design 1302: 1 resolution(s), autom. group order 4, simple
Rx[30]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,9,11,12,14],[3,5,6,7,8,10,13]],[[1,2,5,6,8,9,14],[3,4,7,10,11,12,13]],[[1,2,5,6,10,11,13],[3,4,7,8,9,12,14]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[1,2,7,10,11,13,14],[3,4,5,6,8,9,12]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,7,8,10,14],[2,4,6,9,11,12,13]],[[1,3,5,7,9,11,13],[2,4,6,8,10,12,14]],[[1,3,5,9,10,11,12],[2,4,6,7,8,13,14]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,6,8,10,12,13],[2,4,5,7,9,11,14]],[[1,3,6,9,11,12,14],[2,4,5,7,8,10,13]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,5,9,10,13,14],[2,3,6,7,8,11,12]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]];
Gx[30]:=Group([(1,2)(3,4)(8,9)(10,11),(1,3,2,4)(5,6)(8,10,9,11)(12,13)]);
# Design 1320: 1 resolution(s), autom. group order 4, simple
Rx[31]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,6,8],[7,9,10,11,12,13,14]],[[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]],[[1,2,3,4,12,13,14],[5,6,7,8,9,10,11]],[[1,2,3,7,9,10,12],[4,5,6,8,11,13,14]],[[1,2,4,8,9,12,13],[3,5,6,7,10,11,14]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,8,9,14],[3,4,6,10,11,12,13]],[[1,2,5,10,11,12,13],[3,4,6,7,8,9,14]],[[1,2,6,7,9,11,14],[3,4,5,8,10,12,13]],[[1,2,6,8,10,11,13],[3,4,5,7,9,12,14]],[[1,2,7,8,11,12,14],[3,4,5,6,9,10,13]],[[1,3,4,8,10,11,14],[2,5,6,7,9,12,13]],[[1,3,5,6,11,12,14],[2,4,7,8,9,10,13]],[[1,3,5,7,11,12,13],[2,4,6,8,9,10,14]],[[1,3,5,8,9,13,14],[2,4,6,7,10,11,12]],[[1,3,6,7,9,10,13],[2,4,5,8,11,12,14]],[[1,3,6,8,9,11,12],[2,4,5,7,10,13,14]],[[1,3,7,8,10,13,14],[2,4,5,6,9,11,12]],[[1,4,5,7,8,10,12],[2,3,6,9,11,13,14]],[[1,4,5,7,9,11,13],[2,3,6,8,10,12,14]],[[1,4,5,9,10,11,14],[2,3,6,7,8,12,13]],[[1,4,6,7,8,11,13],[2,3,5,9,10,12,14]],[[1,4,6,7,10,12,14],[2,3,5,8,9,11,13]],[[1,4,6,9,12,13,14],[2,3,5,7,8,10,11]],[[1,5,6,8,9,10,12],[2,3,4,7,11,13,14]]];
Gx[31]:=Group([(1,4)(2,3)(5,6)(9,14)(10,13)(11,12),(1,10,4,13)(2,11,3,12)(5,9,6,14)]);
# Design 1357: 1 resolution(s), autom. group order 4, simple
Rx[32]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,9,11,12,14],[3,5,6,7,8,10,13]],[[1,2,5,6,8,9,13],[3,4,7,10,11,12,14]],[[1,2,5,6,10,11,14],[3,4,7,8,9,12,13]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,8,9,13,14],[3,4,5,6,10,11,12]],[[1,2,7,10,11,12,13],[3,4,5,6,8,9,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,7,8,11,14],[2,4,6,9,10,12,13]],[[1,3,5,7,10,13,14],[2,4,6,8,9,11,12]],[[1,3,5,9,11,12,14],[2,4,6,7,8,10,13]],[[1,3,6,7,9,11,13],[2,4,5,8,10,12,14]],[[1,3,6,8,9,10,12],[2,4,5,7,11,13,14]],[[1,3,6,8,11,12,13],[2,4,5,7,9,10,14]],[[1,4,5,7,8,11,12],[2,3,6,9,10,13,14]],[[1,4,5,8,10,12,13],[2,3,6,7,9,11,14]],[[1,4,5,9,10,11,13],[2,3,6,7,8,12,14]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,4,6,8,11,13,14],[2,3,5,7,9,10,12]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]];
Gx[32]:=Group([(1,2)(3,4)(8,9)(10,11),(1,3,2,4)(5,6)(8,11,9,10)(12,13)]);
# Design 1377: 1 resolution(s), autom. group order 4, simple
Rx[33]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,8,11,12,14],[3,5,6,7,9,10,13]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]],[[1,2,5,7,9,11,12],[3,4,6,8,10,13,14]],[[1,2,6,9,11,12,14],[3,4,5,7,8,10,13]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,2,7,9,10,13,14],[3,4,5,6,8,11,12]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,10,12,14],[2,4,7,8,9,11,13]],[[1,3,5,8,11,13,14],[2,4,6,7,9,10,12]],[[1,3,5,9,11,12,13],[2,4,6,7,8,10,14]],[[1,3,6,7,8,11,13],[2,4,5,9,10,12,14]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,7,8,9,10,12],[2,4,5,6,11,13,14]],[[1,4,5,7,8,9,14],[2,3,6,10,11,12,13]],[[1,4,5,7,10,11,14],[2,3,6,8,9,12,13]],[[1,4,5,10,11,12,13],[2,3,6,7,8,9,14]],[[1,4,6,7,12,13,14],[2,3,5,8,9,10,11]],[[1,4,6,8,9,10,11],[2,3,5,7,12,13,14]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]];
Gx[33]:=Group([(1,4)(2,3)(8,9)(10,11)(12,13),(1,11)(2,8)(3,9)(4,10)(7,14)(12,13)]);
# Design 1462: 1 resolution(s), autom. group order 4, simple
Rx[34]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,6,8],[7,9,10,11,12,13,14]],[[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]],[[1,2,3,4,12,13,14],[5,6,7,8,9,10,11]],[[1,2,3,7,9,10,12],[4,5,6,8,11,13,14]],[[1,2,4,8,9,12,13],[3,5,6,7,10,11,14]],[[1,2,5,6,9,11,14],[3,4,7,8,10,12,13]],[[1,2,5,7,8,11,12],[3,4,6,9,10,13,14]],[[1,2,5,9,10,13,14],[3,4,6,7,8,11,12]],[[1,2,6,7,10,13,14],[3,4,5,8,9,11,12]],[[1,2,6,8,11,12,14],[3,4,5,7,9,10,13]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,3,4,8,10,11,14],[2,5,6,7,9,12,13]],[[1,3,5,6,10,12,13],[2,4,7,8,9,11,14]],[[1,3,5,7,9,11,14],[2,4,6,8,10,12,13]],[[1,3,5,8,10,11,13],[2,4,6,7,9,12,14]],[[1,3,6,7,11,12,13],[2,4,5,8,9,10,14]],[[1,3,6,8,9,13,14],[2,4,5,7,10,11,12]],[[1,3,7,8,9,12,14],[2,4,5,6,10,11,13]],[[1,4,5,7,8,9,13],[2,3,6,10,11,12,14]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,11,12,13,14],[2,3,6,7,8,9,10]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,7,9,11,13],[2,3,5,8,10,12,14]],[[1,4,6,9,10,11,12],[2,3,5,7,8,13,14]],[[1,5,6,8,9,10,12],[2,3,4,7,11,13,14]]];
Gx[34]:=Group([(1,4)(2,3)(5,6)(9,14)(10,13)(11,12),(1,9,4,14)(2,10,3,13)(5,11,6,12)]);
# Design 1463: 1 resolution(s), autom. group order 4, simple
Rx[35]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,6,8],[7,9,10,11,12,13,14]],[[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]],[[1,2,3,4,12,13,14],[5,6,7,8,9,10,11]],[[1,2,3,7,9,10,12],[4,5,6,8,11,13,14]],[[1,2,4,8,9,12,13],[3,5,6,7,10,11,14]],[[1,2,5,6,10,13,14],[3,4,7,8,9,11,12]],[[1,2,5,7,8,9,14],[3,4,6,10,11,12,13]],[[1,2,5,10,11,12,13],[3,4,6,7,8,9,14]],[[1,2,6,7,9,11,14],[3,4,5,8,10,12,13]],[[1,2,6,8,10,11,13],[3,4,5,7,9,12,14]],[[1,2,7,8,11,12,14],[3,4,5,6,9,10,13]],[[1,3,4,8,10,11,14],[2,5,6,7,9,12,13]],[[1,3,5,6,9,11,12],[2,4,7,8,10,13,14]],[[1,3,5,7,11,12,13],[2,4,6,8,9,10,14]],[[1,3,5,8,9,13,14],[2,4,6,7,10,11,12]],[[1,3,6,7,10,13,14],[2,4,5,8,9,11,12]],[[1,3,6,8,11,12,14],[2,4,5,7,9,10,13]],[[1,3,7,8,9,10,13],[2,4,5,6,11,12,14]],[[1,4,5,7,8,11,13],[2,3,6,9,10,12,14]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,9,10,11,14],[2,3,6,7,8,12,13]],[[1,4,6,7,8,10,12],[2,3,5,9,11,13,14]],[[1,4,6,7,9,11,13],[2,3,5,8,10,12,14]],[[1,4,6,9,12,13,14],[2,3,5,7,8,10,11]],[[1,5,6,8,9,10,12],[2,3,4,7,11,13,14]]];
Gx[35]:=Group([(1,4)(2,3)(5,6)(9,14)(10,13)(11,12),(1,10,4,13)(2,11,3,12)(5,9,6,14)]);
# Design 1477: 1 resolution(s), autom. group order 4, simple
Rx[36]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,9,11,12,14],[3,5,6,7,8,10,13]],[[1,2,5,6,8,9,13],[3,4,7,10,11,12,14]],[[1,2,5,6,10,11,14],[3,4,7,8,9,12,13]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,8,9,13,14],[3,4,5,6,10,11,12]],[[1,2,7,10,11,12,13],[3,4,5,6,8,9,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,7,8,10,14],[2,4,6,9,11,12,13]],[[1,3,5,7,11,13,14],[2,4,6,8,9,10,12]],[[1,3,5,9,11,12,14],[2,4,6,7,8,10,13]],[[1,3,6,7,9,11,13],[2,4,5,8,10,12,14]],[[1,3,6,8,9,11,12],[2,4,5,7,10,13,14]],[[1,3,6,8,10,12,13],[2,4,5,7,9,11,14]],[[1,4,5,7,8,11,12],[2,3,6,9,10,13,14]],[[1,4,5,8,10,11,13],[2,3,6,7,9,12,14]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[1,4,6,8,11,13,14],[2,3,5,7,9,10,12]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]];
Gx[36]:=Group([(1,2)(3,4)(8,9)(10,11),(1,3,2,4)(5,6)(8,11,9,10)(12,13)]);
# Design 1529: 1 resolution(s), autom. group order 4, simple
Rx[37]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,6,8],[7,9,10,11,12,13,14]],[[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]],[[1,2,3,4,12,13,14],[5,6,7,8,9,10,11]],[[1,2,3,7,9,10,12],[4,5,6,8,11,13,14]],[[1,2,4,7,11,13,14],[3,5,6,8,9,10,12]],[[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,8,9,11,13],[3,4,6,7,10,12,14]],[[1,2,6,8,10,12,14],[3,4,5,7,9,11,13]],[[1,2,7,8,9,10,14],[3,4,5,6,11,12,13]],[[1,2,7,8,11,12,13],[3,4,5,6,9,10,14]],[[1,3,4,8,9,13,14],[2,5,6,7,10,11,12]],[[1,3,5,7,8,9,12],[2,4,6,10,11,13,14]],[[1,3,5,7,8,11,14],[2,4,6,9,10,12,13]],[[1,3,5,10,11,12,14],[2,4,6,7,8,9,13]],[[1,3,6,7,10,11,13],[2,4,5,8,9,12,14]],[[1,3,6,8,10,11,13],[2,4,5,7,9,12,14]],[[1,3,6,9,12,13,14],[2,4,5,7,8,10,11]],[[1,4,5,7,10,12,13],[2,3,6,8,9,11,14]],[[1,4,5,8,10,12,13],[2,3,6,7,9,11,14]],[[1,4,5,9,10,11,14],[2,3,6,7,8,12,13]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,7,9,11,12],[2,3,5,8,10,13,14]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,5,6,7,9,13,14],[2,3,4,8,10,11,12]]];
Gx[37]:=Group([(1,5)(2,6)(7,8)(11,14),(1,14)(2,6)(4,9)(5,11)]);
# Design 1560: 1 resolution(s), autom. group order 4, simple
Rx[38]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,8,11,12,14],[3,5,6,7,9,10,13]],[[1,2,5,6,9,11,13],[3,4,7,8,10,12,14]],[[1,2,5,6,9,12,14],[3,4,7,8,10,11,13]],[[1,2,5,7,8,10,13],[3,4,6,9,11,12,14]],[[1,2,6,8,10,13,14],[3,4,5,7,9,11,12]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,2,7,9,11,13,14],[3,4,5,6,8,10,12]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,10,11,14],[2,4,7,8,9,12,13]],[[1,3,5,8,9,12,13],[2,4,6,7,10,11,14]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[1,3,6,7,8,9,14],[2,4,5,10,11,12,13]],[[1,3,6,7,12,13,14],[2,4,5,8,9,10,11]],[[1,3,7,8,9,10,11],[2,4,5,6,12,13,14]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,7,10,13,14],[2,3,6,8,9,11,12]],[[1,4,5,9,10,12,14],[2,3,6,7,8,11,13]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,4,6,8,11,12,13],[2,3,5,7,9,10,14]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]];
Gx[38]:=Group([(1,3)(2,4)(8,9)(10,11)(12,13),(1,8)(2,13)(3,9)(4,12)(6,14)]);
# Design 1572: 1 resolution(s), autom. group order 4, simple
Rx[39]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,6,8],[7,9,10,11,12,13,14]],[[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]],[[1,2,3,4,12,13,14],[5,6,7,8,9,10,11]],[[1,2,3,7,9,10,12],[4,5,6,8,11,13,14]],[[1,2,4,8,9,12,13],[3,5,6,7,10,11,14]],[[1,2,5,6,9,11,14],[3,4,7,8,10,12,13]],[[1,2,5,7,8,11,12],[3,4,6,9,10,13,14]],[[1,2,5,9,10,13,14],[3,4,6,7,8,11,12]],[[1,2,6,7,11,12,14],[3,4,5,8,9,10,13]],[[1,2,6,8,10,13,14],[3,4,5,7,9,11,12]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,3,4,8,10,11,14],[2,5,6,7,9,12,13]],[[1,3,5,6,10,12,13],[2,4,7,8,9,11,14]],[[1,3,5,7,10,11,13],[2,4,6,8,9,12,14]],[[1,3,5,8,9,11,14],[2,4,6,7,10,12,13]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,6,8,11,12,13],[2,4,5,7,9,10,14]],[[1,3,7,8,9,12,14],[2,4,5,6,10,11,13]],[[1,4,5,7,8,9,13],[2,3,6,10,11,12,14]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,11,12,13,14],[2,3,6,7,8,9,10]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,7,9,11,13],[2,3,5,8,10,12,14]],[[1,4,6,9,10,11,12],[2,3,5,7,8,13,14]],[[1,5,6,8,9,10,12],[2,3,4,7,11,13,14]]];
Gx[39]:=Group([(1,4)(2,3)(5,6)(9,14)(10,13)(11,12),(1,14,4,9)(2,13,3,10)(5,12,6,11)(7,8)]);
# Design 1621: 1 resolution(s), autom. group order 4, simple
Rx[40]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,6,8],[7,9,10,11,12,13,14]],[[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]],[[1,2,3,5,12,13,14],[4,6,7,8,9,10,11]],[[1,2,3,6,9,12,13],[4,5,7,8,10,11,14]],[[1,2,4,7,8,10,14],[3,5,6,9,11,12,13]],[[1,2,4,7,9,12,14],[3,5,6,8,10,11,13]],[[1,2,5,7,8,11,13],[3,4,6,9,10,12,14]],[[1,2,5,9,10,11,14],[3,4,6,7,8,12,13]],[[1,2,6,8,9,10,12],[3,4,5,7,11,13,14]],[[1,2,6,10,11,13,14],[3,4,5,7,8,9,12]],[[1,2,7,8,11,12,13],[3,4,5,6,9,10,14]],[[1,3,4,7,10,13,14],[2,5,6,8,9,11,12]],[[1,3,4,8,9,11,13],[2,5,6,7,10,12,14]],[[1,3,5,7,10,11,12],[2,4,6,8,9,13,14]],[[1,3,5,8,9,11,14],[2,4,6,7,10,12,13]],[[1,3,6,7,10,11,12],[2,4,5,8,9,13,14]],[[1,3,6,8,10,13,14],[2,4,5,7,9,11,12]],[[1,3,7,8,9,12,14],[2,4,5,6,10,11,13]],[[1,4,5,6,11,12,14],[2,3,7,8,9,10,13]],[[1,4,5,8,10,12,13],[2,3,6,7,9,11,14]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,9,11,13],[2,3,5,8,10,12,14]],[[1,4,6,8,11,12,14],[2,3,5,7,9,10,13]],[[1,5,6,7,8,9,10],[2,3,4,11,12,13,14]],[[1,5,6,7,9,13,14],[2,3,4,8,10,11,12]]];
Gx[40]:=Group([(1,2,4,13)(3,14,10,11)(5,8)(6,9,12,7)]);
# Design 1700: 1 resolution(s), autom. group order 4, simple
Rx[41]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,6,8],[7,9,10,11,12,13,14]],[[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]],[[1,2,3,5,9,12,13],[4,6,7,8,10,11,14]],[[1,2,3,6,10,12,14],[4,5,7,8,9,11,13]],[[1,2,4,7,8,13,14],[3,5,6,9,10,11,12]],[[1,2,4,7,9,10,14],[3,5,6,8,11,12,13]],[[1,2,5,7,9,11,13],[3,4,6,8,10,12,14]],[[1,2,5,8,11,12,14],[3,4,6,7,9,10,13]],[[1,2,6,8,10,12,13],[3,4,5,7,9,11,14]],[[1,2,6,9,11,13,14],[3,4,5,7,8,10,12]],[[1,2,7,8,10,11,12],[3,4,5,6,9,13,14]],[[1,3,4,7,12,13,14],[2,5,6,8,9,10,11]],[[1,3,4,8,10,11,13],[2,5,6,7,9,12,14]],[[1,3,5,8,9,10,14],[2,4,6,7,11,12,13]],[[1,3,5,10,11,13,14],[2,4,6,7,8,9,12]],[[1,3,6,7,8,11,13],[2,4,5,9,10,12,14]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,7,8,9,12,14],[2,4,5,6,10,11,13]],[[1,4,5,6,11,12,14],[2,3,7,8,9,10,13]],[[1,4,5,7,10,11,12],[2,3,6,8,9,13,14]],[[1,4,5,8,9,12,13],[2,3,6,7,10,11,14]],[[1,4,6,8,9,11,14],[2,3,5,7,10,12,13]],[[1,4,6,9,10,12,13],[2,3,5,7,8,11,14]],[[1,5,6,7,8,9,10],[2,3,4,11,12,13,14]],[[1,5,6,7,10,13,14],[2,3,4,8,9,11,12]]];
Gx[41]:=Group([(1,6)(2,4)(3,5)(9,13)(10,11)(12,14),(1,10,6,11)(2,9,4,13)(3,12,5,14)]);
# Design 1754: 1 resolution(s), autom. group order 4, simple
Rx[42]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,9,11,12,14],[3,5,6,7,8,10,13]],[[1,2,5,6,8,9,14],[3,4,7,10,11,12,13]],[[1,2,5,6,10,11,13],[3,4,7,8,9,12,14]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[1,2,7,10,11,13,14],[3,4,5,6,8,9,12]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,7,8,10,14],[2,4,6,9,11,12,13]],[[1,3,5,7,9,11,13],[2,4,6,8,10,12,14]],[[1,3,5,7,11,12,14],[2,4,6,8,9,10,13]],[[1,3,6,8,9,11,13],[2,4,5,7,10,12,14]],[[1,3,6,8,10,12,13],[2,4,5,7,9,11,14]],[[1,3,6,9,11,12,14],[2,4,5,7,8,10,13]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,5,8,11,13,14],[2,3,6,7,9,10,12]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,8,11,12],[2,3,5,9,10,13,14]],[[1,4,6,7,8,13,14],[2,3,5,9,10,11,12]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]];
Gx[42]:=Group([(1,2)(3,4)(8,9)(10,11),(1,3,2,4)(5,6)(8,11,9,10)(12,13)]);
# Design 1856: 1 resolution(s), autom. group order 4, simple
Rx[43]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,9,10,13,14],[3,5,6,7,8,11,12]],[[1,2,5,6,8,12,14],[3,4,7,9,10,11,13]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,7,8,9,11],[3,4,6,10,12,13,14]],[[1,2,6,11,12,13,14],[3,4,5,7,8,9,10]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,10,11,13],[2,4,7,8,9,12,14]],[[1,3,5,8,10,12,13],[2,4,6,7,9,11,14]],[[1,3,5,9,11,12,13],[2,4,6,7,8,10,14]],[[1,3,6,7,8,11,14],[2,4,5,9,10,12,13]],[[1,3,6,7,9,10,14],[2,4,5,8,11,12,13]],[[1,3,7,8,9,13,14],[2,4,5,6,10,11,12]],[[1,4,5,7,10,13,14],[2,3,6,8,9,11,12]],[[1,4,5,7,11,12,14],[2,3,6,8,9,10,13]],[[1,4,5,8,10,11,14],[2,3,6,7,9,12,13]],[[1,4,6,7,8,12,13],[2,3,5,9,10,11,14]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]];
Gx[43]:=Group([(1,2)(3,4)(8,9)(12,13),(1,3)(2,4)(8,9)(10,11)]);
# Design 1941: 1 resolution(s), autom. group order 4, simple
Rx[44]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,9,11,12,14],[3,5,6,7,8,10,13]],[[1,2,5,6,8,9,14],[3,4,7,10,11,12,13]],[[1,2,5,6,10,11,13],[3,4,7,8,9,12,14]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[1,2,7,10,11,13,14],[3,4,5,6,8,9,12]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,7,8,11,14],[2,4,6,9,10,12,13]],[[1,3,5,7,10,12,14],[2,4,6,8,9,11,13]],[[1,3,5,9,11,13,14],[2,4,6,7,8,10,12]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,6,8,9,10,13],[2,4,5,7,11,12,14]],[[1,3,6,8,11,12,13],[2,4,5,7,9,10,14]],[[1,4,5,7,8,11,13],[2,3,6,9,10,12,14]],[[1,4,5,8,10,12,13],[2,3,6,7,9,11,14]],[[1,4,5,9,10,11,12],[2,3,6,7,8,13,14]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,7,9,13,14],[2,3,5,8,10,11,12]],[[1,4,6,8,11,12,14],[2,3,5,7,9,10,13]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]];
Gx[44]:=Group([(1,2)(3,4)(8,9)(10,11),(1,3,2,4)(5,6)(8,11,9,10)(12,13)]);
# Design 1968: 1 resolution(s), autom. group order 4, simple
Rx[45]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,6,8],[7,9,10,11,12,13,14]],[[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]],[[1,2,3,5,9,12,13],[4,6,7,8,10,11,14]],[[1,2,3,6,10,12,14],[4,5,7,8,9,11,13]],[[1,2,4,7,8,13,14],[3,5,6,9,10,11,12]],[[1,2,4,7,9,11,14],[3,5,6,8,10,12,13]],[[1,2,5,7,10,11,12],[3,4,6,8,9,13,14]],[[1,2,5,8,9,12,13],[3,4,6,7,10,11,14]],[[1,2,6,8,10,13,14],[3,4,5,7,9,11,12]],[[1,2,6,9,11,13,14],[3,4,5,7,8,10,12]],[[1,2,7,8,10,11,12],[3,4,5,6,9,13,14]],[[1,3,4,7,9,10,13],[2,5,6,8,11,12,14]],[[1,3,4,8,10,12,14],[2,5,6,7,9,11,13]],[[1,3,5,8,9,11,14],[2,4,6,7,10,12,13]],[[1,3,5,10,11,13,14],[2,4,6,7,8,9,12]],[[1,3,6,7,8,11,13],[2,4,5,9,10,12,14]],[[1,3,6,7,11,12,13],[2,4,5,8,9,10,14]],[[1,3,7,8,9,12,14],[2,4,5,6,10,11,13]],[[1,4,5,6,11,12,14],[2,3,7,8,9,10,13]],[[1,4,5,7,12,13,14],[2,3,6,8,9,10,11]],[[1,4,5,8,10,11,13],[2,3,6,7,9,12,14]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,4,6,9,10,12,13],[2,3,5,7,8,11,14]],[[1,5,6,7,8,9,10],[2,3,4,11,12,13,14]],[[1,5,6,7,9,10,14],[2,3,4,8,11,12,13]]];
Gx[45]:=Group([(1,6)(2,4)(3,5)(9,13)(10,11)(12,14),(1,10,6,11)(2,9,4,13)(3,12,5,14)]);
# Design 1983: 1 resolution(s), autom. group order 4, simple
Rx[46]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,9,11,12,14],[3,5,6,7,8,10,13]],[[1,2,5,6,8,9,13],[3,4,7,10,11,12,14]],[[1,2,5,6,10,11,14],[3,4,7,8,9,12,13]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,8,9,13,14],[3,4,5,6,10,11,12]],[[1,2,7,10,11,12,13],[3,4,5,6,8,9,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,7,8,10,12],[2,4,6,9,11,13,14]],[[1,3,5,7,11,13,14],[2,4,6,8,9,10,12]],[[1,3,5,9,11,12,13],[2,4,6,7,8,10,14]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,6,8,9,11,12],[2,4,5,7,10,13,14]],[[1,3,6,8,10,13,14],[2,4,5,7,9,11,12]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,8,10,11,13],[2,3,6,7,9,12,14]],[[1,4,5,9,10,12,14],[2,3,6,7,8,11,13]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,7,9,10,13],[2,3,5,8,11,12,14]],[[1,4,6,8,11,12,13],[2,3,5,7,9,10,14]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]];
Gx[46]:=Group([(1,2)(3,4)(8,9)(10,11),(1,3,2,4)(5,6)(8,11,9,10)(12,13)]);
# Design 2038: 1 resolution(s), autom. group order 4, simple
Rx[47]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,6,8],[7,9,10,11,12,13,14]],[[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]],[[1,2,3,4,12,13,14],[5,6,7,8,9,10,11]],[[1,2,3,7,8,9,10],[4,5,6,11,12,13,14]],[[1,2,4,7,11,12,13],[3,5,6,8,9,10,14]],[[1,2,5,6,9,11,14],[3,4,7,8,10,12,13]],[[1,2,5,7,10,12,14],[3,4,6,8,9,11,13]],[[1,2,5,8,10,12,14],[3,4,6,7,9,11,13]],[[1,2,6,8,9,13,14],[3,4,5,7,10,11,12]],[[1,2,6,9,11,12,13],[3,4,5,7,8,10,14]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,3,4,8,11,12,14],[2,5,6,7,9,10,13]],[[1,3,5,6,10,11,13],[2,4,7,8,9,12,14]],[[1,3,5,7,9,12,13],[2,4,6,8,10,11,14]],[[1,3,5,8,9,12,13],[2,4,6,7,10,11,14]],[[1,3,6,7,10,13,14],[2,4,5,8,9,11,12]],[[1,3,6,10,11,12,14],[2,4,5,7,8,9,13]],[[1,3,7,8,9,11,14],[2,4,5,6,10,12,13]],[[1,4,5,7,9,11,14],[2,3,6,8,10,12,13]],[[1,4,5,8,10,11,13],[2,3,6,7,9,12,14]],[[1,4,5,9,10,13,14],[2,3,6,7,8,11,12]],[[1,4,6,7,8,13,14],[2,3,5,9,10,11,12]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]];
Gx[47]:=Group([(2,3)(7,8)(9,10)(13,14),(2,9)(3,10)(5,12)(13,14)]);
# Design 2129: 1 resolution(s), autom. group order 4, simple
Rx[48]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,9,11,12,14],[3,5,6,7,8,10,13]],[[1,2,5,6,8,9,14],[3,4,7,10,11,12,13]],[[1,2,5,6,10,11,13],[3,4,7,8,9,12,14]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[1,2,7,10,11,13,14],[3,4,5,6,8,9,12]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,7,8,11,13],[2,4,6,9,10,12,14]],[[1,3,5,7,11,12,14],[2,4,6,8,9,10,13]],[[1,3,5,9,10,12,13],[2,4,6,7,8,11,14]],[[1,3,6,7,9,10,14],[2,4,5,8,11,12,13]],[[1,3,6,8,9,11,13],[2,4,5,7,10,12,14]],[[1,3,6,8,11,12,14],[2,4,5,7,9,10,13]],[[1,4,5,7,9,11,14],[2,3,6,8,10,12,13]],[[1,4,5,8,10,11,12],[2,3,6,7,9,13,14]],[[1,4,5,8,10,13,14],[2,3,6,7,9,11,12]],[[1,4,6,7,8,10,12],[2,3,5,9,11,13,14]],[[1,4,6,7,8,13,14],[2,3,5,9,10,11,12]],[[1,4,6,9,11,12,13],[2,3,5,7,8,10,14]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]];
Gx[48]:=Group([(1,2)(3,4)(8,9)(10,11),(1,3,2,4)(5,6)(8,11,9,10)(12,13)]);
# Design 2254: 1 resolution(s), autom. group order 4, simple
Rx[49]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,9,11,12,14],[3,5,6,7,8,10,13]],[[1,2,5,6,8,9,14],[3,4,7,10,11,12,13]],[[1,2,5,6,10,11,13],[3,4,7,8,9,12,14]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[1,2,7,10,11,13,14],[3,4,5,6,8,9,12]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,7,8,11,14],[2,4,6,9,10,12,13]],[[1,3,5,7,9,11,13],[2,4,6,8,10,12,14]],[[1,3,5,7,10,12,14],[2,4,6,8,9,11,13]],[[1,3,6,8,9,10,13],[2,4,5,7,11,12,14]],[[1,3,6,8,11,12,13],[2,4,5,7,9,10,14]],[[1,3,6,9,11,12,14],[2,4,5,7,8,10,13]],[[1,4,5,8,10,12,13],[2,3,6,7,9,11,14]],[[1,4,5,8,11,13,14],[2,3,6,7,9,10,12]],[[1,4,5,9,10,11,12],[2,3,6,7,8,13,14]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,7,8,11,12],[2,3,5,9,10,13,14]],[[1,4,6,7,9,13,14],[2,3,5,8,10,11,12]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]];
Gx[49]:=Group([(1,2)(3,4)(8,9)(10,11),(1,3,2,4)(5,6)(8,11,9,10)(12,13)]);
# Design 2255: 1 resolution(s), autom. group order 4, simple
Rx[50]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,9,11,12,14],[3,5,6,7,8,10,13]],[[1,2,5,6,8,9,14],[3,4,7,10,11,12,13]],[[1,2,5,6,10,11,13],[3,4,7,8,9,12,14]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[1,2,7,10,11,13,14],[3,4,5,6,8,9,12]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,7,9,10,14],[2,4,6,8,11,12,13]],[[1,3,5,7,9,11,13],[2,4,6,8,10,12,14]],[[1,3,5,8,10,11,12],[2,4,6,7,9,13,14]],[[1,3,6,7,8,13,14],[2,4,5,9,10,11,12]],[[1,3,6,9,10,12,13],[2,4,5,7,8,11,14]],[[1,3,6,9,11,12,14],[2,4,5,7,8,10,13]],[[1,4,5,7,11,12,14],[2,3,6,8,9,10,13]],[[1,4,5,8,10,12,13],[2,3,6,7,9,11,14]],[[1,4,5,9,10,13,14],[2,3,6,7,8,11,12]],[[1,4,6,7,8,10,14],[2,3,5,9,11,12,13]],[[1,4,6,7,9,10,12],[2,3,5,8,11,13,14]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]];
Gx[50]:=Group([(1,2)(3,4)(8,9)(10,11),(1,3,2,4)(5,6)(8,10,9,11)(12,13)]);
# Design 2257: 1 resolution(s), autom. group order 4, simple
Rx[51]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,9,11,12,14],[3,5,6,7,8,10,13]],[[1,2,5,6,8,9,14],[3,4,7,10,11,12,13]],[[1,2,5,6,10,11,13],[3,4,7,8,9,12,14]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[1,2,7,10,11,13,14],[3,4,5,6,8,9,12]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,7,8,11,13],[2,4,6,9,10,12,14]],[[1,3,5,7,9,11,14],[2,4,6,8,10,12,13]],[[1,3,5,7,10,12,14],[2,4,6,8,9,11,13]],[[1,3,6,8,9,10,13],[2,4,5,7,11,12,14]],[[1,3,6,8,11,12,14],[2,4,5,7,9,10,13]],[[1,3,6,9,11,12,13],[2,4,5,7,8,10,14]],[[1,4,5,8,10,13,14],[2,3,6,7,9,11,12]],[[1,4,5,8,11,12,13],[2,3,6,7,9,10,14]],[[1,4,5,9,10,11,12],[2,3,6,7,8,13,14]],[[1,4,6,7,8,10,12],[2,3,5,9,11,13,14]],[[1,4,6,7,8,11,14],[2,3,5,9,10,12,13]],[[1,4,6,7,9,13,14],[2,3,5,8,10,11,12]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]];
Gx[51]:=Group([(1,2)(3,4)(8,9)(10,11),(1,3,2,4)(5,6)(8,11,9,10)(12,13)]);
# Design 2259: 1 resolution(s), autom. group order 4, simple
Rx[52]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,9,11,12,14],[3,5,6,7,8,10,13]],[[1,2,5,6,8,9,14],[3,4,7,10,11,12,13]],[[1,2,5,6,10,11,13],[3,4,7,8,9,12,14]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[1,2,7,10,11,13,14],[3,4,5,6,8,9,12]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,7,8,10,13],[2,4,6,9,11,12,14]],[[1,3,5,7,9,11,14],[2,4,6,8,10,12,13]],[[1,3,5,9,10,11,12],[2,4,6,7,8,13,14]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,6,8,10,12,14],[2,4,5,7,9,11,13]],[[1,3,6,9,11,12,13],[2,4,5,7,8,10,14]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,8,11,13,14],[2,3,6,7,9,10,12]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,8,11,12],[2,3,5,9,10,13,14]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]];
Gx[52]:=Group([(1,2)(3,4)(8,9)(10,11),(1,3,2,4)(5,6)(8,10,9,11)(12,13)]);
# Design 2304: 1 resolution(s), autom. group order 4, simple
Rx[53]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,6,8],[7,9,10,11,12,13,14]],[[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]],[[1,2,3,4,12,13,14],[5,6,7,8,9,10,11]],[[1,2,3,7,9,10,12],[4,5,6,8,11,13,14]],[[1,2,4,8,9,12,13],[3,5,6,7,10,11,14]],[[1,2,5,6,9,11,14],[3,4,7,8,10,12,13]],[[1,2,5,7,8,11,12],[3,4,6,9,10,13,14]],[[1,2,5,9,10,13,14],[3,4,6,7,8,11,12]],[[1,2,6,7,10,13,14],[3,4,5,8,9,11,12]],[[1,2,6,8,11,12,14],[3,4,5,7,9,10,13]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,3,4,8,10,11,14],[2,5,6,7,9,12,13]],[[1,3,5,6,10,11,13],[2,4,7,8,9,12,14]],[[1,3,5,7,9,12,14],[2,4,6,8,10,11,13]],[[1,3,5,8,10,12,13],[2,4,6,7,9,11,14]],[[1,3,6,7,11,12,13],[2,4,5,8,9,10,14]],[[1,3,6,8,9,13,14],[2,4,5,7,10,11,12]],[[1,3,7,8,9,11,14],[2,4,5,6,10,12,13]],[[1,4,5,7,8,10,14],[2,3,6,9,11,12,13]],[[1,4,5,7,9,11,13],[2,3,6,8,10,12,14]],[[1,4,5,11,12,13,14],[2,3,6,7,8,9,10]],[[1,4,6,7,8,9,13],[2,3,5,10,11,12,14]],[[1,4,6,7,10,12,14],[2,3,5,8,9,11,13]],[[1,4,6,9,10,11,12],[2,3,5,7,8,13,14]],[[1,5,6,8,9,10,12],[2,3,4,7,11,13,14]]];
Gx[53]:=Group([(1,4)(2,3)(5,6)(9,14)(10,13)(11,12),(1,9,4,14)(2,10,3,13)(5,11,6,12)]);
# Design 2389: 1 resolution(s), autom. group order 4, simple
Rx[54]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,6,8],[7,9,10,11,12,13,14]],[[1,2,3,4,9,10,11],[5,6,7,8,12,13,14]],[[1,2,3,4,9,10,12],[5,6,7,8,11,13,14]],[[1,2,3,7,8,13,14],[4,5,6,9,10,11,12]],[[1,2,4,7,8,13,14],[3,5,6,9,10,11,12]],[[1,2,5,6,11,12,13],[3,4,7,8,9,10,14]],[[1,2,5,6,11,12,14],[3,4,7,8,9,10,13]],[[1,2,5,9,10,13,14],[3,4,6,7,8,11,12]],[[1,2,6,9,10,13,14],[3,4,5,7,8,11,12]],[[1,2,7,8,9,11,12],[3,4,5,6,10,13,14]],[[1,2,7,8,10,11,12],[3,4,5,6,9,13,14]],[[1,3,4,11,12,13,14],[2,5,6,7,8,9,10]],[[1,3,5,7,9,11,13],[2,4,6,8,10,12,14]],[[1,3,5,7,9,11,14],[2,4,6,8,10,12,13]],[[1,3,5,8,10,12,13],[2,4,6,7,9,11,14]],[[1,3,6,7,10,12,13],[2,4,5,8,9,11,14]],[[1,3,6,8,9,12,14],[2,4,5,7,10,11,13]],[[1,3,6,8,10,11,14],[2,4,5,7,9,12,13]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,8,9,12,13],[2,3,6,7,10,11,14]],[[1,4,5,8,10,11,14],[2,3,6,7,9,12,13]],[[1,4,6,7,9,12,14],[2,3,5,8,10,11,13]],[[1,4,6,7,10,11,13],[2,3,5,8,9,12,14]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,5,6,7,8,9,10],[2,3,4,11,12,13,14]]];
Gx[54]:=Group([(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14),(1,3)(2,4)(5,9)(6,10)(7,11)(8,12)(13,14)]);
# Design 2390: 1 resolution(s), autom. group order 4, simple
Rx[55]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,9,11,12,14],[3,5,6,7,8,10,13]],[[1,2,5,6,8,9,14],[3,4,7,10,11,12,13]],[[1,2,5,6,10,11,13],[3,4,7,8,9,12,14]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[1,2,7,10,11,13,14],[3,4,5,6,8,9,12]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,7,9,10,13],[2,4,6,8,11,12,14]],[[1,3,5,7,9,11,14],[2,4,6,8,10,12,13]],[[1,3,5,8,10,11,12],[2,4,6,7,9,13,14]],[[1,3,6,7,8,13,14],[2,4,5,9,10,11,12]],[[1,3,6,9,10,12,14],[2,4,5,7,8,11,13]],[[1,3,6,9,11,12,13],[2,4,5,7,8,10,14]],[[1,4,5,7,11,12,14],[2,3,6,8,9,10,13]],[[1,4,5,8,10,13,14],[2,3,6,7,9,11,12]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,8,10,12],[2,3,5,9,11,13,14]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[1,4,6,8,9,11,13],[2,3,5,7,10,12,14]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]];
Gx[55]:=Group([(1,2)(3,4)(8,9)(10,11),(1,3,2,4)(5,6)(8,10,9,11)(12,13)]);
# Design 2424: 1 resolution(s), autom. group order 4, simple
Rx[56]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,9,10,13,14],[3,5,6,7,8,11,12]],[[1,2,5,6,8,12,14],[3,4,7,9,10,11,13]],[[1,2,5,6,9,13,14],[3,4,7,8,10,11,12]],[[1,2,5,7,8,9,11],[3,4,6,10,12,13,14]],[[1,2,6,11,12,13,14],[3,4,5,7,8,9,10]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,9,11,12,14],[2,5,6,7,8,10,13]],[[1,3,5,6,10,11,13],[2,4,7,8,9,12,14]],[[1,3,5,8,10,12,13],[2,4,6,7,9,11,14]],[[1,3,5,9,11,12,13],[2,4,6,7,8,10,14]],[[1,3,6,7,8,11,14],[2,4,5,9,10,12,13]],[[1,3,6,7,9,10,14],[2,4,5,8,11,12,13]],[[1,3,7,8,9,13,14],[2,4,5,6,10,11,12]],[[1,4,5,7,10,12,14],[2,3,6,8,9,11,13]],[[1,4,5,7,11,13,14],[2,3,6,8,9,10,12]],[[1,4,5,8,10,11,14],[2,3,6,7,9,12,13]],[[1,4,6,7,8,12,13],[2,3,5,9,10,11,14]],[[1,4,6,8,9,10,13],[2,3,5,7,11,12,14]],[[1,4,6,8,9,11,12],[2,3,5,7,10,13,14]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]];
Gx[56]:=Group([(1,2)(3,4)(8,9)(12,13),(1,3)(2,4)(8,9)(10,11)]);
# Design 2453: 1 resolution(s), autom. group order 4, simple
Rx[57]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,9,11,12,14],[3,5,6,7,8,10,13]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,6,8,9,11,12],[3,4,5,7,10,13,14]],[[1,2,7,8,10,11,13],[3,4,5,6,9,12,14]],[[1,2,7,9,10,13,14],[3,4,5,6,8,11,12]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,12,13,14],[2,4,7,8,9,10,11]],[[1,3,5,8,9,10,11],[2,4,6,7,12,13,14]],[[1,3,5,10,11,12,13],[2,4,6,7,8,9,14]],[[1,3,6,7,8,9,14],[2,4,5,10,11,12,13]],[[1,3,6,7,10,11,14],[2,4,5,8,9,12,13]],[[1,3,7,8,9,12,13],[2,4,5,6,10,11,14]],[[1,4,5,7,8,10,12],[2,3,6,9,11,13,14]],[[1,4,5,7,9,10,14],[2,3,6,8,11,12,13]],[[1,4,5,8,11,13,14],[2,3,6,7,9,10,12]],[[1,4,6,7,8,11,13],[2,3,5,9,10,12,14]],[[1,4,6,8,10,12,14],[2,3,5,7,9,11,13]],[[1,4,6,9,10,12,13],[2,3,5,7,8,11,14]],[[1,5,6,7,9,11,12],[2,3,4,8,10,13,14]]];
Gx[57]:=Group([(1,3)(2,4)(8,9)(10,11)(12,13),(1,12)(2,9)(3,13)(4,8)(6,14)]);
# Design 2507: 1 resolution(s), autom. group order 4, simple
Rx[58]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,9,11,12,14],[3,5,6,7,8,10,13]],[[1,2,5,6,8,9,14],[3,4,7,10,11,12,13]],[[1,2,5,6,10,11,13],[3,4,7,8,9,12,14]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,8,9,12,13],[3,4,5,6,10,11,14]],[[1,2,7,10,11,13,14],[3,4,5,6,8,9,12]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,7,8,11,13],[2,4,6,9,10,12,14]],[[1,3,5,7,10,12,14],[2,4,6,8,9,11,13]],[[1,3,5,9,11,12,13],[2,4,6,7,8,10,14]],[[1,3,6,7,9,11,14],[2,4,5,8,10,12,13]],[[1,3,6,8,9,10,13],[2,4,5,7,11,12,14]],[[1,3,6,8,11,12,14],[2,4,5,7,9,10,13]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,8,10,13,14],[2,3,6,7,9,11,12]],[[1,4,5,9,10,11,12],[2,3,6,7,8,13,14]],[[1,4,6,7,8,10,12],[2,3,5,9,11,13,14]],[[1,4,6,7,9,13,14],[2,3,5,8,10,11,12]],[[1,4,6,8,11,12,13],[2,3,5,7,9,10,14]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]];
Gx[58]:=Group([(1,2)(3,4)(8,9)(10,11),(1,3,2,4)(5,6)(8,11,9,10)(12,13)]);
# Design 2511: 1 resolution(s), autom. group order 4, simple
Rx[59]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,9,11,12,14],[3,5,6,7,8,10,13]],[[1,2,5,6,8,9,13],[3,4,7,10,11,12,14]],[[1,2,5,6,10,11,14],[3,4,7,8,9,12,13]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,8,9,13,14],[3,4,5,6,10,11,12]],[[1,2,7,10,11,12,13],[3,4,5,6,8,9,14]],[[1,3,4,8,11,13,14],[2,5,6,7,9,10,12]],[[1,3,5,7,8,10,12],[2,4,6,9,11,13,14]],[[1,3,5,7,9,11,14],[2,4,6,8,10,12,13]],[[1,3,5,9,10,11,13],[2,4,6,7,8,12,14]],[[1,3,6,7,9,12,14],[2,4,5,8,10,11,13]],[[1,3,6,8,10,13,14],[2,4,5,7,9,11,12]],[[1,3,6,9,11,12,13],[2,4,5,7,8,10,14]],[[1,4,5,7,10,13,14],[2,3,6,8,9,11,12]],[[1,4,5,8,11,12,14],[2,3,6,7,9,10,13]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,8,11,13],[2,3,5,9,10,12,14]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,5,6,7,8,11,12],[2,3,4,9,10,13,14]]];
Gx[59]:=Group([(1,2)(3,4)(8,9)(10,11),(1,3,2,4)(5,6)(8,10,9,11)(12,13)]);
# Design 2543: 1 resolution(s), autom. group order 4, simple
Rx[60]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,9,11,12,14],[3,5,6,7,8,10,13]],[[1,2,5,6,8,9,13],[3,4,7,10,11,12,14]],[[1,2,5,6,10,11,14],[3,4,7,8,9,12,13]],[[1,2,5,6,12,13,14],[3,4,7,8,9,10,11]],[[1,2,7,8,9,10,11],[3,4,5,6,12,13,14]],[[1,2,7,8,9,13,14],[3,4,5,6,10,11,12]],[[1,2,7,10,11,12,13],[3,4,5,6,8,9,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,7,8,10,14],[2,4,6,9,11,12,13]],[[1,3,5,7,9,11,12],[2,4,6,8,10,13,14]],[[1,3,5,7,11,13,14],[2,4,6,8,9,10,12]],[[1,3,6,8,9,11,12],[2,4,5,7,10,13,14]],[[1,3,6,8,10,12,13],[2,4,5,7,9,11,14]],[[1,3,6,9,11,13,14],[2,4,5,7,8,10,12]],[[1,4,5,8,10,11,13],[2,3,6,7,9,12,14]],[[1,4,5,8,11,12,14],[2,3,6,7,9,10,13]],[[1,4,5,9,10,12,13],[2,3,6,7,8,11,14]],[[1,4,6,7,8,11,13],[2,3,5,9,10,12,14]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,7,9,10,14],[2,3,5,8,11,12,13]],[[1,5,6,7,9,10,12],[2,3,4,8,11,13,14]]];
Gx[60]:=Group([(1,2)(3,4)(8,9)(10,11),(1,3,2,4)(5,6)(8,11,9,10)(12,13)]);
# Design 2562: 1 resolution(s), autom. group order 4, simple
Rx[61]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,8,9,11,14],[3,5,6,7,10,12,13]],[[1,2,5,6,9,10,13],[3,4,7,8,11,12,14]],[[1,2,5,7,10,12,14],[3,4,6,8,9,11,13]],[[1,2,5,9,11,13,14],[3,4,6,7,8,10,12]],[[1,2,6,7,8,13,14],[3,4,5,9,10,11,12]],[[1,2,6,8,11,12,13],[3,4,5,7,9,10,14]],[[1,2,7,9,10,11,12],[3,4,5,6,8,13,14]],[[1,3,4,9,10,13,14],[2,5,6,7,8,11,12]],[[1,3,5,6,8,12,14],[2,4,7,9,10,11,13]],[[1,3,5,7,9,11,12],[2,4,6,8,10,13,14]],[[1,3,5,8,10,11,13],[2,4,6,7,9,12,14]],[[1,3,6,7,9,13,14],[2,4,5,8,10,11,12]],[[1,3,6,9,11,12,14],[2,4,5,7,8,10,13]],[[1,3,7,8,10,11,13],[2,4,5,6,9,12,14]],[[1,4,5,6,11,12,13],[2,3,7,8,9,10,14]],[[1,4,5,7,8,11,14],[2,3,6,9,10,12,13]],[[1,4,5,10,12,13,14],[2,3,6,7,8,9,11]],[[1,4,6,7,10,11,14],[2,3,5,8,9,12,13]],[[1,4,6,8,9,10,12],[2,3,5,7,11,13,14]],[[1,4,7,8,9,12,13],[2,3,5,6,10,11,14]],[[1,5,6,7,8,9,10],[2,3,4,11,12,13,14]]];
Gx[61]:=Group([(1,3)(2,4)(5,7)(8,13)(9,12),(1,8)(2,12)(3,13)(4,9)(5,7)(6,14)(10,11)]);
# Design 2563: 1 resolution(s), autom. group order 4, simple
Rx[62]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,9,10,14],[4,5,6,7,11,12,13]],[[1,2,4,8,11,12,14],[3,5,6,7,9,10,13]],[[1,2,5,6,8,13,14],[3,4,7,9,10,11,12]],[[1,2,5,7,11,12,14],[3,4,6,8,9,10,13]],[[1,2,5,9,10,11,12],[3,4,6,7,8,13,14]],[[1,2,6,7,9,11,13],[3,4,5,8,10,12,14]],[[1,2,6,8,10,12,13],[3,4,5,7,9,11,14]],[[1,2,7,9,10,13,14],[3,4,5,6,8,11,12]],[[1,3,4,9,11,13,14],[2,5,6,7,8,10,12]],[[1,3,5,6,10,12,13],[2,4,7,8,9,11,14]],[[1,3,5,7,8,10,14],[2,4,6,9,11,12,13]],[[1,3,5,11,12,13,14],[2,4,6,7,8,9,10]],[[1,3,6,7,10,11,14],[2,4,5,8,9,12,13]],[[1,3,6,8,9,11,12],[2,4,5,7,10,13,14]],[[1,3,7,8,9,12,13],[2,4,5,6,10,11,14]],[[1,4,5,6,9,13,14],[2,3,7,8,10,11,12]],[[1,4,5,7,9,10,12],[2,3,6,8,11,13,14]],[[1,4,5,8,10,11,13],[2,3,6,7,9,12,14]],[[1,4,6,7,8,12,14],[2,3,5,9,10,11,13]],[[1,4,6,9,10,12,14],[2,3,5,7,8,11,13]],[[1,4,7,8,10,11,13],[2,3,5,6,9,12,14]],[[1,5,6,7,8,9,11],[2,3,4,10,12,13,14]]];
Gx[62]:=Group([(1,4)(2,3)(5,7)(8,13)(9,12),(1,8)(2,12)(3,9)(4,13)(5,7)(6,14)(10,11)]);
# Design 2661: 1 resolution(s), autom. group order 4, simple
Rx[63]:=[[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]],[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]],[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]],[[1,2,3,4,7,12,13],[5,6,8,9,10,11,14]],[[1,2,3,8,10,12,14],[4,5,6,7,9,11,13]],[[1,2,4,9,11,12,14],[3,5,6,7,8,10,13]],[[1,2,5,6,8,12,14],[3,4,7,9,10,11,13]],[[1,2,5,6,11,13,14],[3,4,7,8,9,10,12]],[[1,2,5,7,9,10,13],[3,4,6,8,11,12,14]],[[1,2,6,9,10,13,14],[3,4,5,7,8,11,12]],[[1,2,7,8,9,11,13],[3,4,5,6,10,12,14]],[[1,2,7,8,10,11,12],[3,4,5,6,9,13,14]],[[1,3,4,8,10,13,14],[2,5,6,7,9,11,12]],[[1,3,5,6,8,11,13],[2,4,7,9,10,12,14]],[[1,3,5,7,9,10,14],[2,4,6,8,11,12,13]],[[1,3,5,9,11,12,14],[2,4,6,7,8,10,13]],[[1,3,6,7,9,11,12],[2,4,5,8,10,13,14]],[[1,3,6,9,10,12,13],[2,4,5,7,8,11,14]],[[1,3,7,8,11,13,14],[2,4,5,6,9,10,12]],[[1,4,5,7,12,13,14],[2,3,6,8,9,10,11]],[[1,4,5,8,9,10,11],[2,3,6,7,12,13,14]],[[1,4,5,10,11,12,13],[2,3,6,7,8,9,14]],[[1,4,6,7,8,9,14],[2,3,5,10,11,12,13]],[[1,4,6,7,10,11,14],[2,3,5,8,9,12,13]],[[1,4,6,8,9,12,13],[2,3,5,7,10,11,14]],[[1,5,6,7,8,10,12],[2,3,4,9,11,13,14]]];
Gx[63]:=Group([(1,4)(2,3)(8,9)(10,11)(12,13),(1,8)(2,10)(3,11)(4,9)(7,14)]);