# WARNING: The designs listed may have additional resolutions with a trivial # automorphism group. # # Design 18079: 40 resolution(s), autom. group order 72 D18079:=[[1,2,3],[1,2,3],[1,2,3],[1,2,4],[1,2,5],[1,3,6],[1,3,7],[1,4,5],[1,4,6],[1,4,7],[1,4,8],[1,5,6],[1,5,7],[1,5,9],[1,6,7],[1,6,9],[1,7,8],[1,8,9],[1,8,9],[1,8,9],[2,3,8],[2,3,9],[2,4,5],[2,4,6],[2,4,8],[2,4,9],[2,5,7],[2,5,8],[2,5,9],[2,6,7],[2,6,7],[2,6,7],[2,6,9],[2,7,8],[2,8,9],[3,4,5],[3,4,5],[3,4,5],[3,4,6],[3,4,8],[3,5,7],[3,5,9],[3,6,7],[3,6,8],[3,6,9],[3,7,8],[3,7,9],[3,8,9],[4,6,8],[4,6,9],[4,7,8],[4,7,9],[4,7,9],[4,7,9],[5,6,8],[5,6,8],[5,6,8],[5,6,9],[5,7,8],[5,7,9]]; G18079:=Group([(4,5)(6,7)(8,9),(2,3)(4,6)(5,7)(8,9),(2,8)(3,9)(5,7),(1,2)(6,8)(7,9)]); R18079_1:=[[1,52,55],[2,53,56],[3,54,57],[4,44,60],[5,47,49],[6,26,59],[7,25,58],[8,35,43],[9,27,48],[10,28,45],[11,30,42],[12,22,51],[13,21,50],[14,34,39],[15,29,40],[16,23,46],[17,33,36],[18,24,41],[19,31,37],[20,32,38]]; RG18079_1:=Group([(1,6)(2,8)(3,5)(7,9)]); R18079_2:=[[1,52,55],[2,53,56],[3,54,57],[4,44,60],[5,47,49],[6,26,59],[7,25,58],[8,30,48],[9,35,41],[10,28,45],[11,31,42],[12,22,51],[13,21,50],[14,24,46],[15,29,40],[16,34,36],[17,33,37],[18,23,43],[19,27,39],[20,32,38]]; RG18079_2:=Group([(1,2)(4,5)(6,9)(7,8)]); R18079_3:=[[1,52,55],[2,53,56],[3,54,57],[4,44,60],[5,47,49],[6,26,59],[7,25,58],[8,30,48],[9,29,46],[10,28,45],[11,31,42],[12,22,51],[13,21,50],[14,34,39],[15,35,36],[16,27,40],[17,33,37],[18,23,43],[19,24,41],[20,32,38]]; RG18079_3:=Group([(1,7)(2,9)(3,4)(6,8)]); R18079_4:=[[1,52,55],[2,53,56],[3,54,57],[4,44,60],[5,47,49],[6,26,59],[7,25,58],[8,30,48],[9,29,46],[10,28,45],[11,31,42],[12,22,51],[13,21,50],[14,32,40],[15,35,36],[16,34,37],[17,33,38],[18,23,43],[19,24,41],[20,27,39]]; RG18079_4:=Group([(1,2)(4,5)(6,9)(7,8),(1,7)(2,9)(3,4)(6,8)]); R18079_5:=[[1,51,58],[2,52,55],[3,53,56],[4,45,59],[5,46,50],[6,25,60],[7,26,57],[8,30,48],[9,28,47],[10,29,44],[11,31,42],[12,21,54],[13,22,49],[14,34,39],[15,35,36],[16,27,40],[17,33,37],[18,23,43],[19,24,41],[20,32,38]]; RG18079_5:=Group([(1,9)(2,7)(3,4)]); R18079_6:=[[1,51,58],[2,52,55],[3,53,56],[4,45,59],[5,46,50],[6,25,60],[7,26,57],[8,30,48],[9,28,47],[10,29,44],[11,31,42],[12,21,54],[13,22,49],[14,32,40],[15,35,36],[16,34,37],[17,33,38],[18,23,43],[19,24,41],[20,27,39]]; RG18079_6:=Group([(1,9)(2,7)(3,4)]); R18079_7:=[[1,52,55],[2,53,56],[3,54,57],[4,44,60],[5,47,49],[6,26,59],[7,25,58],[8,35,43],[9,29,46],[10,28,45],[11,30,42],[12,22,51],[13,21,50],[14,34,39],[15,23,48],[16,27,40],[17,33,36],[18,24,41],[19,31,37],[20,32,38]]; RG18079_7:=Group([(1,6)(2,8)(3,5)(7,9)]); R18079_8:=[[1,52,55],[2,53,56],[3,54,57],[4,44,60],[5,47,49],[6,26,59],[7,25,58],[8,35,43],[9,34,42],[10,28,45],[11,33,41],[12,22,51],[13,21,50],[14,24,46],[15,23,48],[16,27,40],[17,29,39],[18,30,36],[19,31,37],[20,32,38]]; RG18079_8:=Group([(1,2)(4,5)(6,9)(7,8),(1,4,2,5)(6,8,9,7)]); R18079_9:=[[1,52,55],[2,53,56],[3,54,57],[4,44,60],[5,47,49],[6,26,59],[7,25,58],[8,35,43],[9,29,46],[10,28,45],[11,33,41],[12,22,51],[13,21,50],[14,34,39],[15,23,48],[16,27,40],[17,24,42],[18,30,36],[19,31,37],[20,32,38]]; RG18079_9:=Group([(1,2)(4,5)(6,9)(7,8),(1,7)(2,9)(3,4)(6,8)]); R18079_10:=[[1,51,58],[2,52,55],[3,53,56],[4,45,59],[5,46,50],[6,25,60],[7,26,57],[8,35,43],[9,28,47],[10,29,44],[11,33,41],[12,21,54],[13,22,49],[14,34,39],[15,23,48],[16,27,40],[17,24,42],[18,30,36],[19,31,37],[20,32,38]]; RG18079_10:=Group([(1,9)(2,7)(3,4)]); R18079_11:=[[1,51,58],[2,52,55],[3,53,56],[4,45,59],[5,46,50],[6,25,60],[7,26,57],[8,35,43],[9,28,47],[10,29,44],[11,33,41],[12,21,54],[13,22,49],[14,30,40],[15,23,48],[16,34,36],[17,24,42],[18,27,39],[19,31,37],[20,32,38]]; RG18079_11:=Group([(1,9)(2,7)(3,4)]); R18079_12:=[[1,49,60],[2,52,55],[3,53,56],[4,47,57],[5,44,54],[6,26,59],[7,25,58],[8,35,43],[9,27,48],[10,28,45],[11,30,42],[12,22,51],[13,21,50],[14,34,39],[15,29,40],[16,23,46],[17,33,36],[18,24,41],[19,31,37],[20,32,38]]; RG18079_12:=Group([(1,2,6,8)(3,7,5,9)]); R18079_13:=[[1,49,60],[2,52,55],[3,53,56],[4,47,57],[5,44,54],[6,26,59],[7,25,58],[8,30,48],[9,35,41],[10,28,45],[11,31,42],[12,22,51],[13,21,50],[14,24,46],[15,29,40],[16,34,36],[17,33,37],[18,23,43],[19,27,39],[20,32,38]]; RG18079_13:=Group([(1,2)(4,5)(6,9)(7,8)]); R18079_14:=[[1,49,60],[2,52,55],[3,53,56],[4,47,57],[5,44,54],[6,26,59],[7,25,58],[8,30,48],[9,29,46],[10,28,45],[11,31,42],[12,22,51],[13,21,50],[14,34,39],[15,35,36],[16,27,40],[17,33,37],[18,23,43],[19,24,41],[20,32,38]]; RG18079_14:=Group([(1,7)(2,9)(3,4)(6,8)]); R18079_15:=[[1,49,60],[2,52,55],[3,53,56],[4,47,57],[5,44,54],[6,26,59],[7,25,58],[8,30,48],[9,29,46],[10,28,45],[11,31,42],[12,22,51],[13,21,50],[14,32,40],[15,35,36],[16,34,37],[17,33,38],[18,23,43],[19,24,41],[20,27,39]]; RG18079_15:=Group([(1,2)(4,5)(6,9)(7,8),(1,7)(2,9)(3,4)(6,8)]); R18079_16:=[[1,50,59],[2,51,58],[3,52,55],[4,47,56],[5,44,53],[6,25,60],[7,26,57],[8,30,48],[9,35,41],[10,28,45],[11,31,42],[12,21,54],[13,22,49],[14,24,46],[15,29,40],[16,34,36],[17,33,37],[18,23,43],[19,27,39],[20,32,38]]; RG18079_16:=Group([(1,2)(4,5)(6,9)(7,8),(1,4,2,5)(6,8,9,7)]); R18079_17:=[[1,50,59],[2,51,58],[3,52,55],[4,47,56],[5,44,53],[6,25,60],[7,26,57],[8,30,48],[9,29,46],[10,28,45],[11,31,42],[12,21,54],[13,22,49],[14,34,39],[15,35,36],[16,27,40],[17,33,37],[18,23,43],[19,24,41],[20,32,38]]; RG18079_17:=Group([(1,9)(2,4)(3,7)(5,6)]); R18079_18:=[[1,50,59],[2,51,58],[3,52,55],[4,47,56],[5,44,53],[6,25,60],[7,26,57],[8,30,48],[9,29,46],[10,28,45],[11,31,42],[12,21,54],[13,22,49],[14,32,40],[15,35,36],[16,34,37],[17,33,38],[18,23,43],[19,24,41],[20,27,39]]; RG18079_18:=Group([(1,2)(4,5)(6,9)(7,8),(1,4,6)(2,9,5)(3,7,8)]); R18079_19:=[[1,49,60],[2,52,55],[3,53,56],[4,47,57],[5,44,54],[6,26,59],[7,25,58],[8,35,43],[9,29,46],[10,28,45],[11,30,42],[12,22,51],[13,21,50],[14,34,39],[15,23,48],[16,27,40],[17,33,36],[18,24,41],[19,31,37],[20,32,38]]; RG18079_19:=Group([(1,6)(2,8)(3,5)(7,9)]); R18079_20:=[[1,50,59],[2,51,58],[3,52,55],[4,47,56],[5,44,53],[6,25,60],[7,26,57],[8,35,43],[9,29,46],[10,28,45],[11,30,42],[12,21,54],[13,22,49],[14,34,39],[15,23,48],[16,27,40],[17,33,36],[18,24,41],[19,31,37],[20,32,38]]; RG18079_20:=Group([(1,5)(2,6)(3,8)(4,9)]); R18079_21:=[[1,49,60],[2,52,55],[3,53,56],[4,47,57],[5,44,54],[6,26,59],[7,25,58],[8,35,43],[9,29,46],[10,28,45],[11,33,41],[12,22,51],[13,21,50],[14,34,39],[15,23,48],[16,27,40],[17,24,42],[18,30,36],[19,31,37],[20,32,38]]; RG18079_21:=Group([(1,2)(4,5)(6,9)(7,8),(1,7)(2,9)(3,4)(6,8)]); R18079_22:=[[1,50,59],[2,51,58],[3,52,55],[4,47,56],[5,44,53],[6,25,60],[7,26,57],[8,35,43],[9,29,46],[10,28,45],[11,33,41],[12,21,54],[13,22,49],[14,34,39],[15,23,48],[16,27,40],[17,24,42],[18,30,36],[19,31,37],[20,32,38]]; RG18079_22:=Group([(1,2)(4,5)(6,9)(7,8),(1,4,6)(2,9,5)(3,7,8)]); R18079_23:=[[1,52,55],[2,53,56],[3,54,57],[4,46,58],[5,45,51],[6,26,59],[7,28,50],[8,30,48],[9,21,60],[10,29,44],[11,31,42],[12,25,47],[13,22,49],[14,32,40],[15,35,36],[16,34,37],[17,33,38],[18,23,43],[19,24,41],[20,27,39]]; RG18079_23:=Group([(4,5)(6,7)(8,9),(1,3)(4,9)(5,8),(1,4)(2,7)(3,9)(5,8)]); R18079_24:=[[1,52,55],[2,53,56],[3,54,57],[4,46,58],[5,45,51],[6,26,59],[7,28,50],[8,30,48],[9,21,60],[10,29,44],[11,31,42],[12,25,47],[13,22,49],[14,34,39],[15,35,36],[16,27,40],[17,33,37],[18,23,43],[19,24,41],[20,32,38]]; RG18079_24:=Group([(1,3)(4,9)(5,8),(1,4)(2,7)(3,9)(5,8)]); R18079_25:=[[1,52,55],[2,53,56],[3,54,57],[4,46,58],[5,45,51],[6,26,59],[7,28,50],[8,35,43],[9,21,60],[10,29,44],[11,30,42],[12,25,47],[13,22,49],[14,34,39],[15,23,48],[16,27,40],[17,33,36],[18,24,41],[19,31,37],[20,32,38]]; RG18079_25:=Group([(1,3)(4,9)(5,8),(1,8)(2,6)(3,5)]); R18079_26:=[[1,52,55],[2,53,56],[3,54,57],[4,46,58],[5,45,51],[6,26,59],[7,28,50],[8,35,43],[9,21,60],[10,29,44],[11,33,41],[12,25,47],[13,22,49],[14,34,39],[15,23,48],[16,27,40],[17,24,42],[18,30,36],[19,31,37],[20,32,38]]; RG18079_26:=Group([(4,5)(6,7)(8,9),(1,3)(4,9)(5,8),(1,4)(2,7)(3,9)(5,8)]); R18079_27:=[[1,52,55],[2,53,56],[3,54,57],[4,44,60],[5,47,49],[6,26,59],[7,28,50],[8,33,46],[9,35,41],[10,21,58],[11,29,43],[12,22,51],[13,24,48],[14,30,40],[15,25,42],[16,34,36],[17,23,45],[18,27,39],[19,31,37],[20,32,38]]; RG18079_27:=Group([(2,3)(4,7)(5,6),(1,2)(6,8)(7,9),(1,4,2,9,3,7)(5,6,8)]); R18079_28:=[[1,52,55],[2,53,56],[3,54,57],[4,44,60],[5,47,49],[6,26,59],[7,28,50],[8,35,43],[9,29,46],[10,21,58],[11,33,41],[12,22,51],[13,25,45],[14,30,40],[15,23,48],[16,34,36],[17,24,42],[18,27,39],[19,31,37],[20,32,38]]; RG18079_28:=Group([(2,3)(4,7)(5,6),(1,2)(6,8)(7,9),(1,4,2,9,3,7)(5,6,8)]); R18079_29:=[[1,52,55],[2,53,56],[3,54,57],[4,44,60],[5,47,49],[6,26,59],[7,28,50],[8,35,43],[9,29,46],[10,21,58],[11,33,41],[12,22,51],[13,25,45],[14,34,39],[15,23,48],[16,27,40],[17,24,42],[18,30,36],[19,31,37],[20,32,38]]; RG18079_29:=Group([(4,5)(6,7)(8,9),(2,3)(4,7)(5,6),(2,8)(3,9)(5,7),(1,2)(6,8)(7,9)]); R18079_30:=[[1,50,59],[2,52,55],[3,53,56],[4,46,58],[5,45,51],[6,28,54],[7,26,57],[8,35,43],[9,21,60],[10,29,44],[11,33,41],[12,25,47],[13,22,49],[14,30,40],[15,23,48],[16,34,36],[17,24,42],[18,27,39],[19,31,37],[20,32,38]]; RG18079_30:=Group([(1,3)(4,9)(5,8),(1,4)(2,7)(3,9)(5,8)]); R18079_31:=[[1,50,59],[2,52,55],[3,53,56],[4,44,60],[5,47,49],[6,28,54],[7,26,57],[8,35,43],[9,29,46],[10,21,58],[11,33,41],[12,22,51],[13,25,45],[14,30,40],[15,23,48],[16,34,36],[17,24,42],[18,27,39],[19,31,37],[20,32,38]]; RG18079_31:=Group([(2,8)(3,9)(5,7),(1,3)(4,9)(5,8)]); R18079_32:=[[1,52,55],[2,53,56],[3,54,57],[4,44,60],[5,47,49],[6,26,59],[7,28,50],[8,30,48],[9,29,46],[10,21,58],[11,33,41],[12,22,51],[13,25,45],[14,31,40],[15,35,36],[16,34,37],[17,24,42],[18,23,43],[19,27,39],[20,32,38]]; RG18079_32:=Group([(2,3)(4,7)(5,6),(1,2)(6,8)(7,9),(1,8)(2,6)(3,5)]); R18079_33:=[[1,50,59],[2,52,55],[3,53,56],[4,46,58],[5,45,51],[6,28,54],[7,26,57],[8,30,48],[9,21,60],[10,29,44],[11,33,41],[12,25,47],[13,22,49],[14,31,40],[15,35,36],[16,34,37],[17,24,42],[18,23,43],[19,27,39],[20,32,38]]; RG18079_33:=Group([(1,3)(4,9)(5,8),(1,8)(2,6)(3,5)]); R18079_34:=[[1,50,59],[2,52,55],[3,53,56],[4,44,60],[5,47,49],[6,28,54],[7,26,57],[8,30,48],[9,29,46],[10,21,58],[11,33,41],[12,22,51],[13,25,45],[14,31,40],[15,35,36],[16,34,37],[17,24,42],[18,23,43],[19,27,39],[20,32,38]]; RG18079_34:=Group([(1,3)(4,9)(5,8),(1,8)(2,6)(3,5)]); R18079_35:=[[1,52,55],[2,53,56],[3,54,57],[4,44,60],[5,47,49],[6,26,59],[7,28,50],[8,30,48],[9,29,46],[10,21,58],[11,31,42],[12,22,51],[13,25,45],[14,32,40],[15,35,36],[16,34,37],[17,33,38],[18,23,43],[19,24,41],[20,27,39]]; RG18079_35:=Group([(4,5)(6,7)(8,9),(2,3)(4,7)(5,6),(1,2)(6,8)(7,9),(1,4)(2,7)(3,9)(5,8)]); R18079_36:=[[1,50,59],[2,52,55],[3,53,56],[4,46,58],[5,45,51],[6,28,54],[7,26,57],[8,30,48],[9,21,60],[10,29,44],[11,31,42],[12,25,47],[13,22,49],[14,32,40],[15,35,36],[16,34,37],[17,33,38],[18,23,43],[19,24,41],[20,27,39]]; RG18079_36:=Group([(4,5)(6,7)(8,9),(1,3)(4,9)(5,8),(1,4)(2,7)(3,9)(5,8)]); R18079_37:=[[1,50,59],[2,52,55],[3,53,56],[4,44,60],[5,47,49],[6,28,54],[7,26,57],[8,30,48],[9,29,46],[10,21,58],[11,31,42],[12,22,51],[13,25,45],[14,32,40],[15,35,36],[16,34,37],[17,33,38],[18,23,43],[19,24,41],[20,27,39]]; RG18079_37:=Group([(4,5)(6,7)(8,9),(1,3)(4,9)(5,8),(1,4)(2,7)(3,9)(5,8)]); R18079_38:=[[1,49,60],[2,50,59],[3,52,55],[4,47,56],[5,44,53],[6,28,54],[7,26,57],[8,30,48],[9,29,46],[10,21,58],[11,33,41],[12,22,51],[13,25,45],[14,31,40],[15,35,36],[16,34,37],[17,24,42],[18,23,43],[19,27,39],[20,32,38]]; RG18079_38:=Group([(2,3)(4,7)(5,6),(1,4,8,7)(2,3,5,6)]); R18079_39:=[[1,49,60],[2,50,59],[3,52,55],[4,47,56],[5,44,53],[6,28,54],[7,26,57],[8,30,48],[9,29,46],[10,21,58],[11,31,42],[12,22,51],[13,25,45],[14,32,40],[15,35,36],[16,34,37],[17,33,38],[18,23,43],[19,24,41],[20,27,39]]; RG18079_39:=Group([(4,5)(6,7)(8,9),(2,3)(4,6)(5,7)(8,9),(1,9)(2,7)(3,4)]); R18079_40:=[[1,49,60],[2,50,59],[3,51,58],[4,47,55],[5,44,52],[6,28,53],[7,26,56],[8,30,48],[9,29,46],[10,22,57],[11,31,42],[12,21,54],[13,25,45],[14,32,40],[15,35,36],[16,34,37],[17,33,38],[18,23,43],[19,24,41],[20,27,39]]; RG18079_40:=Group([(4,5)(6,7)(8,9),(2,3)(4,6)(5,7)(8,9),(2,8)(3,9)(5,7),(1,2)(6,8)(7,9)]);