# WARNING: The designs listed may have additional resolutions with a trivial # automorphism group. # # Design 24111: 6 resolution(s), autom. group order 648 D24111:=[[1,2,3],[1,2,3],[1,2,4],[1,2,5],[1,2,6],[1,3,4],[1,3,5],[1,3,6],[1,4,7],[1,4,8],[1,4,9],[1,5,7],[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],[2,3,6],[2,4,7],[2,4,8],[2,4,9],[2,5,7],[2,5,8],[2,5,9],[2,6,7],[2,6,8],[2,6,9],[2,7,8],[2,7,9],[2,8,9],[3,4,7],[3,4,8],[3,4,9],[3,5,7],[3,5,8],[3,5,9],[3,6,7],[3,6,8],[3,6,9],[3,7,8],[3,7,9],[3,8,9],[4,5,6],[4,5,6],[4,5,7],[4,5,8],[4,5,9],[4,6,7],[4,6,8],[4,6,9],[5,6,7],[5,6,8],[5,6,9],[7,8,9],[7,8,9]]; G24111:=Group([(8,9),(7,8),(5,6),(4,5),(2,3),(1,2),(1,4,7)(2,5,8)(3,6,9)]); R24111_1:=[[1,48,59],[2,49,60],[3,45,58],[4,46,54],[5,47,50],[6,34,57],[7,35,53],[8,33,52],[9,28,44],[10,29,42],[11,27,43],[12,31,38],[13,32,36],[14,30,37],[15,25,41],[16,26,39],[17,24,40],[18,22,55],[19,23,51],[20,21,56]]; RG24111_1:=Group([(4,5,6)(7,9,8),(2,3)(5,6)(8,9),(1,2)(5,6)(7,8)]); R24111_2:=[[1,48,59],[2,49,60],[3,45,58],[4,46,54],[5,47,50],[6,34,57],[7,35,53],[8,33,52],[9,28,44],[10,29,42],[11,27,43],[12,32,37],[13,30,38],[14,31,36],[15,25,41],[16,26,39],[17,24,40],[18,22,55],[19,23,51],[20,21,56]]; RG24111_2:=Group([(2,3)(4,6)(7,8),(1,2)(5,6)(7,8)]); R24111_3:=[[1,48,59],[2,49,60],[3,45,58],[4,46,54],[5,47,50],[6,34,57],[7,35,53],[8,33,52],[9,28,44],[10,29,42],[11,27,43],[12,32,37],[13,30,38],[14,31,36],[15,26,40],[16,24,41],[17,25,39],[18,22,55],[19,23,51],[20,21,56]]; RG24111_3:=Group([(2,3)(5,6)(8,9),(1,2)(4,5)(8,9)]); R24111_4:=[[1,48,59],[2,49,60],[3,45,58],[4,46,54],[5,47,50],[6,35,56],[7,33,55],[8,34,51],[9,28,44],[10,29,42],[11,27,43],[12,31,38],[13,32,36],[14,30,37],[15,25,41],[16,26,39],[17,24,40],[18,23,52],[19,21,57],[20,22,53]]; RG24111_4:=Group([(4,5,6)(7,9,8),(2,3)(5,6)(7,9),(1,2)(5,6)(7,8),(1,4,7)(2,5,8)(3,6,9)]); R24111_5:=[[1,48,59],[2,49,60],[3,45,58],[4,46,54],[5,47,50],[6,35,56],[7,33,55],[8,34,51],[9,28,44],[10,29,42],[11,27,43],[12,32,37],[13,30,38],[14,31,36],[15,25,41],[16,26,39],[17,24,40],[18,23,52],[19,21,57],[20,22,53]]; RG24111_5:=Group([(2,3)(4,6)(8,9),(1,2)(5,6)(7,8)]); R24111_6:=[[1,48,59],[2,49,60],[3,45,58],[4,46,54],[5,47,50],[6,35,56],[7,33,55],[8,34,51],[9,28,44],[10,29,42],[11,27,43],[12,32,37],[13,30,38],[14,31,36],[15,26,40],[16,24,41],[17,25,39],[18,23,52],[19,21,57],[20,22,53]]; RG24111_6:=Group([(2,3)(5,6)(7,9),(1,2)(4,5)(8,9)]);