# Design 60: 3 resolution(s), autom. group order 4 D60:=[[1,2,3],[1,2,3],[1,2,3],[1,4,5],[1,4,6],[1,4,7],[1,5,6],[1,5,8],[1,6,9],[1,7,8],[1,7,9],[1,8,9],[2,4,5],[2,4,6],[2,4,7],[2,5,8],[2,5,9],[2,6,8],[2,6,9],[2,7,8],[2,7,9],[3,4,5],[3,4,7],[3,4,9],[3,5,8],[3,5,9],[3,6,7],[3,6,8],[3,6,9],[3,7,8],[4,6,8],[4,8,9],[4,8,9],[5,6,7],[5,6,7],[5,7,9]]; G60:=Group([(4,7)(5,8)(6,9),(1,3)(4,5)(6,9)(7,8)]); R60_1:=[[1,31,36],[2,32,34],[3,33,35],[4,21,28],[5,17,30],[6,19,25],[7,20,24],[8,15,29],[9,16,23],[10,14,26],[11,18,22],[12,13,27]]; RG60_1:=Group([(4,7)(5,8)(6,9),(1,3)(4,8)(5,7)]); R60_2:=[[1,31,36],[2,32,34],[3,33,35],[4,19,30],[5,21,25],[6,17,28],[7,20,24],[8,15,29],[9,16,23],[10,14,26],[11,18,22],[12,13,27]]; RG60_2:=Group([(1,3)(4,8)(5,7)]); R60_3:=[[1,31,36],[2,32,34],[3,33,35],[4,21,28],[5,17,30],[6,16,29],[7,20,24],[8,19,23],[9,15,25],[10,14,26],[11,18,22],[12,13,27]]; RG60_3:=Group([(4,7)(5,8)(6,9),(1,3)(4,8)(5,7)]); # Design 161: 3 resolution(s), autom. group order 12 D161:=[[1,2,3],[1,2,3],[1,2,3],[1,4,5],[1,4,6],[1,4,7],[1,5,8],[1,5,9],[1,6,8],[1,6,9],[1,7,8],[1,7,9],[2,4,5],[2,4,6],[2,4,8],[2,5,7],[2,5,9],[2,6,7],[2,6,9],[2,7,8],[2,8,9],[3,4,5],[3,4,7],[3,4,9],[3,5,6],[3,5,8],[3,6,7],[3,6,9],[3,7,8],[3,8,9],[4,6,8],[4,7,9],[4,8,9],[5,6,7],[5,6,8],[5,7,9]]; G161:=Group([(4,5)(6,9)(7,8),(2,3)(6,7)(8,9),(1,2)(4,6)(5,9)]); R161_1:=[[1,31,36],[2,32,35],[3,33,34],[4,20,28],[5,16,30],[6,21,25],[7,18,24],[8,15,27],[9,17,23],[10,13,29],[11,19,22],[12,14,26]]; RG161_1:=Group([(4,5)(6,9)(7,8),(2,3)(4,5)(6,8)(7,9),(1,2)(4,6)(5,9)]); R161_2:=[[1,31,36],[2,32,35],[3,33,34],[4,21,27],[5,16,30],[6,19,26],[7,18,24],[8,14,29],[9,17,23],[10,20,22],[11,13,28],[12,15,25]]; RG161_2:=Group([(2,3)(4,5)(6,8)(7,9),(1,2)(4,9)(5,6)(7,8)]); R161_3:=[[1,31,36],[2,32,35],[3,33,34],[4,19,29],[5,16,30],[6,21,25],[7,18,24],[8,15,27],[9,17,23],[10,20,22],[11,13,28],[12,14,26]]; RG161_3:=Group([(4,5)(6,9)(7,8),(2,3)(4,5)(6,8)(7,9),(1,2)(4,9)(5,6)(7,8)]); # Design 208: 3 resolution(s), autom. group order 54, simple D208:=[[1,2,3],[1,2,4],[1,2,5],[1,3,4],[1,3,6],[1,4,7],[1,5,8],[1,5,9],[1,6,8],[1,6,9],[1,7,8],[1,7,9],[2,3,8],[2,3,9],[2,4,8],[2,4,9],[2,5,6],[2,5,7],[2,6,7],[2,6,8],[2,7,9],[3,4,8],[3,4,9],[3,5,6],[3,5,7],[3,5,9],[3,6,7],[3,7,8],[4,5,6],[4,5,7],[4,5,8],[4,6,7],[4,6,9],[5,8,9],[6,8,9],[7,8,9]]; G208:=Group([(3,4)(6,7)(8,9),(2,3)(5,6)(8,9),(1,2,5)(3,6,8,4,7,9)]); R208_1:=[[1,32,34],[2,25,35],[3,28,33],[4,17,36],[5,21,31],[6,20,26],[7,19,23],[8,15,27],[9,14,30],[10,18,22],[11,16,24],[12,13,29]]; RG208_1:=Group([(2,4)(5,7)(8,9),(1,8)(2,3)(5,7)]); R208_2:=[[1,30,35],[2,27,34],[3,28,33],[4,17,36],[5,21,31],[6,20,26],[7,14,32],[8,19,22],[9,18,23],[10,15,25],[11,16,24],[12,13,29]]; RG208_2:=Group([(2,3,4)(5,6,7),(1,9,8)(2,3,4),(1,5,2)(3,8,7)(4,9,6)]); R208_3:=[[1,29,36],[2,25,35],[3,28,33],[4,19,34],[5,21,31],[6,20,26],[7,16,27],[8,13,32],[9,14,30],[10,18,22],[11,17,23],[12,15,24]]; RG208_3:=Group([(2,3,4)(5,6,7),(2,4)(5,7)(8,9),(1,9)(3,4)(5,7),(1,6,2)(3,8,5)(4,9,7)]);