# WARNING: The designs listed may have additional resolutions with a trivial # automorphism group. # # Design 22193: 29 resolution(s), autom. group order 80, simple D22193:=[[1,2,3],[1,2,4],[1,2,5],[1,2,6],[1,2,7],[1,3,4],[1,3,5],[1,3,6],[1,3,7],[1,4,5],[1,4,8],[1,4,9],[1,5,8],[1,5,9],[1,6,7],[1,6,8],[1,6,9],[1,7,8],[1,7,9],[1,8,9],[2,3,4],[2,3,5],[2,3,8],[2,3,9],[2,4,5],[2,4,6],[2,4,7],[2,5,8],[2,5,9],[2,6,7],[2,6,8],[2,6,9],[2,7,8],[2,7,9],[2,8,9],[3,4,5],[3,4,8],[3,4,9],[3,5,6],[3,5,7],[3,6,7],[3,6,8],[3,6,9],[3,7,8],[3,7,9],[3,8,9],[4,5,6],[4,5,7],[4,6,7],[4,6,8],[4,6,9],[4,7,8],[4,7,9],[4,8,9],[5,6,7],[5,6,8],[5,6,9],[5,7,8],[5,7,9],[5,8,9]]; G22193:=Group([(8,9),(6,7),(2,3)(4,5),(2,4,3,5)(6,8)(7,9),(1,2)(3,4)]); R22193_1:=[[1,50,59],[2,43,58],[3,42,53],[4,46,48],[5,38,56],[6,35,55],[7,32,52],[8,27,60],[9,28,51],[10,31,45],[11,29,41],[12,33,39],[13,24,49],[14,30,37],[15,22,54],[16,34,36],[17,25,44],[18,21,57],[19,23,47],[20,26,40]]; RG22193_1:=Group([(1,5)(2,4)(6,7)(8,9)]); R22193_2:=[[1,50,59],[2,44,57],[3,42,53],[4,46,48],[5,38,56],[6,35,55],[7,32,52],[8,27,60],[9,28,51],[10,31,45],[11,29,41],[12,33,39],[13,24,49],[14,30,37],[15,22,54],[16,34,36],[17,21,58],[18,25,43],[19,23,47],[20,26,40]]; RG22193_2:=Group([(1,5)(2,4)(6,7)(8,9)]); R22193_3:=[[1,50,59],[2,45,56],[3,42,53],[4,46,48],[5,39,54],[6,32,58],[7,35,49],[8,27,60],[9,28,51],[10,33,43],[11,24,55],[12,31,40],[13,30,38],[14,26,44],[15,29,37],[16,34,36],[17,22,52],[18,21,57],[19,23,47],[20,25,41]]; RG22193_3:=Group([(1,2)(3,4)(6,7)(8,9)]); R22193_4:=[[1,53,56],[2,42,59],[3,45,50],[4,46,48],[5,39,54],[6,32,58],[7,35,49],[8,27,60],[9,28,51],[10,33,43],[11,24,55],[12,31,40],[13,30,38],[14,26,44],[15,29,37],[16,34,36],[17,22,52],[18,21,57],[19,23,47],[20,25,41]]; RG22193_4:=Group([(1,2)(3,4)(6,7)(8,9)]); R22193_5:=[[1,49,60],[2,42,59],[3,44,51],[4,40,54],[5,38,56],[6,32,58],[7,31,53],[8,35,48],[9,29,50],[10,33,43],[11,24,55],[12,28,41],[13,26,45],[14,30,37],[15,25,46],[16,34,36],[17,22,52],[18,21,57],[19,23,47],[20,27,39]]; RG22193_5:=Group([(1,4)(3,5)(6,7)(8,9)]); R22193_6:=[[1,51,58],[2,42,59],[3,46,49],[4,40,54],[5,38,56],[6,33,57],[7,31,53],[8,35,48],[9,29,50],[10,32,44],[11,24,55],[12,28,41],[13,26,45],[14,30,37],[15,21,60],[16,34,36],[17,22,52],[18,25,43],[19,23,47],[20,27,39]]; RG22193_6:=Group([(1,4)(3,5)(6,7)(8,9)]); R22193_7:=[[1,52,57],[2,42,59],[3,46,49],[4,40,54],[5,38,56],[6,32,58],[7,31,53],[8,35,48],[9,29,50],[10,33,43],[11,24,55],[12,28,41],[13,26,45],[14,30,37],[15,21,60],[16,34,36],[17,25,44],[18,22,51],[19,23,47],[20,27,39]]; RG22193_7:=Group([(1,4)(3,5)(6,7)(8,9)]); R22193_8:=[[1,49,60],[2,42,59],[3,43,52],[4,40,54],[5,38,56],[6,33,57],[7,31,53],[8,35,48],[9,29,50],[10,32,44],[11,24,55],[12,28,41],[13,26,45],[14,30,37],[15,25,46],[16,34,36],[17,21,58],[18,22,51],[19,23,47],[20,27,39]]; RG22193_8:=Group([(1,4)(3,5)(6,7)(8,9)]); R22193_9:=[[1,50,59],[2,45,56],[3,43,52],[4,46,48],[5,39,54],[6,32,58],[7,33,51],[8,28,53],[9,26,60],[10,35,41],[11,24,55],[12,31,40],[13,30,38],[14,27,42],[15,29,37],[16,34,36],[17,25,44],[18,21,57],[19,23,47],[20,22,49]]; RG22193_9:=Group([(1,2)(3,4)(6,7)(8,9)]); R22193_10:=[[1,50,59],[2,45,56],[3,44,51],[4,46,48],[5,39,54],[6,32,58],[7,35,49],[8,28,53],[9,26,60],[10,33,43],[11,24,55],[12,31,40],[13,30,38],[14,27,42],[15,29,37],[16,34,36],[17,22,52],[18,21,57],[19,23,47],[20,25,41]]; RG22193_10:=Group([(1,2)(3,4)(6,7)(8,9)]); R22193_11:=[[1,50,59],[2,45,56],[3,43,52],[4,46,48],[5,39,54],[6,33,57],[7,35,49],[8,28,53],[9,26,60],[10,32,44],[11,24,55],[12,31,40],[13,30,38],[14,27,42],[15,29,37],[16,34,36],[17,21,58],[18,22,51],[19,23,47],[20,25,41]]; RG22193_11:=Group([(1,2)(3,4)(6,7)(8,9)]); R22193_12:=[[1,50,59],[2,45,56],[3,44,51],[4,46,48],[5,39,54],[6,33,57],[7,32,52],[8,28,53],[9,26,60],[10,35,41],[11,24,55],[12,31,40],[13,30,38],[14,27,42],[15,29,37],[16,34,36],[17,21,58],[18,25,43],[19,23,47],[20,22,49]]; RG22193_12:=Group([(1,2)(3,4)(6,7)(8,9)]); R22193_13:=[[1,51,58],[2,44,57],[3,45,50],[4,37,59],[5,39,54],[6,34,56],[7,32,52],[8,35,48],[9,26,60],[10,30,46],[11,29,41],[12,31,40],[13,27,43],[14,23,49],[15,28,38],[16,22,53],[17,33,36],[18,24,47],[19,25,42],[20,21,55]]; RG22193_13:=Group([(1,3)(2,5)(6,7)(8,9)]); R22193_14:=[[1,50,59],[2,43,58],[3,46,49],[4,40,54],[5,37,57],[6,34,56],[7,33,51],[8,28,53],[9,35,47],[10,31,45],[11,29,41],[12,23,55],[13,30,38],[14,26,44],[15,21,60],[16,24,48],[17,22,52],[18,32,36],[19,25,42],[20,27,39]]; RG22193_14:=Group([(1,4)(3,5)(6,7)(8,9)]); R22193_15:=[[1,53,56],[2,42,59],[3,43,52],[4,46,48],[5,39,54],[6,33,57],[7,34,50],[8,27,60],[9,35,47],[10,32,44],[11,29,41],[12,23,55],[13,24,49],[14,30,37],[15,28,38],[16,25,45],[17,21,58],[18,22,51],[19,31,36],[20,26,40]]; RG22193_15:=Group([(2,3)(4,5)(6,7)(8,9),(2,5,3,4)(6,8,7,9),(1,2)(3,4)(6,7)(8,9)]); R22193_16:=[[1,50,59],[2,43,58],[3,42,53],[4,46,48],[5,39,54],[6,34,56],[7,33,51],[8,27,60],[9,35,47],[10,32,44],[11,29,41],[12,23,55],[13,24,49],[14,30,37],[15,28,38],[16,25,45],[17,22,52],[18,21,57],[19,31,36],[20,26,40]]; RG22193_16:=Group([(2,3)(4,5)(6,7)(8,9)]); R22193_17:=[[1,53,56],[2,42,59],[3,43,52],[4,46,48],[5,39,54],[6,33,57],[7,34,50],[8,27,60],[9,35,47],[10,32,44],[11,24,55],[12,28,41],[13,30,38],[14,23,49],[15,29,37],[16,25,45],[17,21,58],[18,22,51],[19,31,36],[20,26,40]]; RG22193_17:=Group([(2,3)(4,5)(6,7)(8,9),(1,2)(3,4)(6,7)(8,9)]); R22193_18:=[[1,50,59],[2,43,58],[3,42,53],[4,46,48],[5,39,54],[6,34,56],[7,33,51],[8,27,60],[9,35,47],[10,32,44],[11,24,55],[12,28,41],[13,30,38],[14,23,49],[15,29,37],[16,25,45],[17,22,52],[18,21,57],[19,31,36],[20,26,40]]; RG22193_18:=Group([(2,3)(4,5)(6,7)(8,9),(2,4,3,5)(6,8,7,9)]); R22193_19:=[[1,50,59],[2,43,58],[3,42,53],[4,46,48],[5,39,54],[6,33,57],[7,32,52],[8,27,60],[9,35,47],[10,31,45],[11,29,41],[12,23,55],[13,24,49],[14,30,37],[15,28,38],[16,34,36],[17,25,44],[18,22,51],[19,21,56],[20,26,40]]; RG22193_19:=Group([(1,5)(2,4)(6,7)(8,9)]); R22193_20:=[[1,50,59],[2,43,58],[3,42,53],[4,46,48],[5,39,54],[6,33,57],[7,32,52],[8,27,60],[9,35,47],[10,31,45],[11,24,55],[12,28,41],[13,30,38],[14,23,49],[15,29,37],[16,34,36],[17,25,44],[18,22,51],[19,21,56],[20,26,40]]; RG22193_20:=Group([(1,2,5,4)(6,8,7,9)]); R22193_21:=[[1,51,58],[2,44,57],[3,42,53],[4,37,59],[5,39,54],[6,34,56],[7,32,52],[8,35,48],[9,26,60],[10,30,46],[11,29,41],[12,31,40],[13,27,43],[14,23,49],[15,28,38],[16,25,45],[17,33,36],[18,24,47],[19,22,50],[20,21,55]]; RG22193_21:=Group([(1,3)(2,5)(6,7)(8,9)]); R22193_22:=[[1,51,58],[2,44,57],[3,42,53],[4,40,54],[5,46,47],[6,34,56],[7,32,52],[8,35,48],[9,26,60],[10,31,45],[11,29,41],[12,23,55],[13,24,49],[14,30,37],[15,28,38],[16,21,59],[17,33,36],[18,25,43],[19,22,50],[20,27,39]]; RG22193_22:=Group([(1,2,4,5,3),(2,3)(4,5)(6,7)(8,9)]); R22193_23:=[[1,53,56],[2,42,59],[3,45,50],[4,46,48],[5,39,54],[6,32,58],[7,33,51],[8,29,52],[9,26,60],[10,35,41],[11,24,55],[12,31,40],[13,27,43],[14,30,37],[15,28,38],[16,34,36],[17,25,44],[18,21,57],[19,23,47],[20,22,49]]; RG22193_23:=Group([(1,2)(3,4)(6,7)(8,9)]); R22193_24:=[[1,52,57],[2,43,58],[3,45,50],[4,40,54],[5,46,47],[6,34,56],[7,31,53],[8,35,48],[9,26,60],[10,32,44],[11,29,41],[12,23,55],[13,24,49],[14,30,37],[15,28,38],[16,21,59],[17,33,36],[18,22,51],[19,25,42],[20,27,39]]; RG22193_24:=Group([(1,4,2,3)(6,8,7,9)]); R22193_25:=[[1,52,57],[2,45,56],[3,42,53],[4,40,54],[5,46,47],[6,32,58],[7,34,50],[8,35,48],[9,26,60],[10,33,43],[11,29,41],[12,23,55],[13,24,49],[14,30,37],[15,28,38],[16,21,59],[17,25,44],[18,22,51],[19,31,36],[20,27,39]]; RG22193_25:=Group([(1,5,4,3)(6,9,7,8)]); R22193_26:=[[1,54,55],[2,41,60],[3,43,52],[4,37,59],[5,38,56],[6,33,57],[7,35,49],[8,28,53],[9,29,50],[10,32,44],[11,34,39],[12,31,40],[13,26,45],[14,27,42],[15,25,46],[16,24,48],[17,21,58],[18,22,51],[19,23,47],[20,30,36]]; RG22193_26:=Group([(1,2,4,5,3)]); R22193_27:=[[1,50,59],[2,45,56],[3,43,52],[4,40,54],[5,46,47],[6,33,57],[7,31,53],[8,35,48],[9,26,60],[10,32,44],[11,29,41],[12,23,55],[13,24,49],[14,30,37],[15,28,38],[16,34,36],[17,21,58],[18,22,51],[19,25,42],[20,27,39]]; RG22193_27:=Group([(1,2,4,5,3),(2,4,3,5)(6,8,7,9)]); R22193_28:=[[1,53,56],[2,42,59],[3,44,51],[4,40,54],[5,46,47],[6,32,58],[7,34,50],[8,35,48],[9,26,60],[10,33,43],[11,29,41],[12,23,55],[13,24,49],[14,30,37],[15,28,38],[16,25,45],[17,22,52],[18,21,57],[19,31,36],[20,27,39]]; RG22193_28:=Group([(1,2,4,5,3),(2,4,3,5)(6,8,7,9)]); R22193_29:=[[1,53,56],[2,42,59],[3,43,52],[4,40,54],[5,46,47],[6,33,57],[7,34,50],[8,35,48],[9,26,60],[10,32,44],[11,24,55],[12,28,41],[13,30,38],[14,23,49],[15,29,37],[16,25,45],[17,21,58],[18,22,51],[19,31,36],[20,27,39]]; RG22193_29:=Group([(2,3)(4,5)(6,7)(8,9),(2,5,3,4)(6,8,7,9),(1,2)(3,4)(6,7)(8,9)]);