# Design 37245: 10 resolution(s), autom. group order 18 D37245:=[[1,2,3],[1,2,3],[1,2,3],[1,2,4],[1,3,5],[1,4,6],[1,4,7],[1,4,8],[1,5,6],[1,5,7],[1,5,8],[1,6,7],[1,6,9],[1,7,9],[1,8,9],[1,8,9],[2,3,9],[2,4,6],[2,4,7],[2,4,8],[2,5,6],[2,5,6],[2,5,7],[2,5,8],[2,6,9],[2,7,8],[2,7,9],[2,8,9],[3,4,6],[3,4,7],[3,4,7],[3,4,8],[3,5,6],[3,5,7],[3,5,8],[3,6,8],[3,6,9],[3,7,9],[3,8,9],[4,5,8],[4,5,9],[4,5,9],[4,5,9],[4,6,9],[5,7,9],[6,7,8],[6,7,8],[6,7,8]]; G37245:=Group([(2,3)(4,5)(6,7),(1,2)(5,9)(6,8),(1,4,8,3,9,7)(2,5,6)]); R37245_1:=[[1,41,46],[2,42,47],[3,43,48],[4,36,45],[5,26,44],[6,23,39],[7,24,37],[8,21,38],[9,27,32],[10,28,29],[11,25,30],[12,17,40],[13,19,35],[14,20,33],[15,18,34],[16,22,31]]; RG37245_1:=Group([(2,3)(4,5)(6,7),(1,2)(5,9)(6,8)]); R37245_2:=[[1,41,46],[2,42,47],[3,43,48],[4,36,45],[5,26,44],[6,23,39],[7,24,37],[8,21,38],[9,28,30],[10,25,32],[11,27,29],[12,17,40],[13,19,35],[14,20,33],[15,18,34],[16,22,31]]; RG37245_2:=Group([(1,2)(5,9)(6,8)]); R37245_3:=[[1,41,46],[2,42,47],[3,43,48],[4,36,45],[5,26,44],[6,23,39],[7,24,37],[8,21,38],[9,28,30],[10,25,32],[11,27,29],[12,17,40],[13,20,34],[14,18,35],[15,19,33],[16,22,31]]; RG37245_3:=Group([(1,3)(4,9)(7,8)]); R37245_4:=[[1,41,46],[2,42,47],[3,43,48],[4,36,45],[5,26,44],[6,24,38],[7,28,33],[8,23,37],[9,19,39],[10,25,32],[11,27,29],[12,17,40],[13,20,34],[14,18,35],[15,21,30],[16,22,31]]; RG37245_4:=Group([(2,3)(4,5)(6,7),(1,2)(5,9)(6,8)]); R37245_5:=[[1,41,46],[2,42,47],[3,43,48],[4,36,45],[5,26,44],[6,27,35],[7,24,37],[8,21,38],[9,19,39],[10,28,29],[11,25,30],[12,17,40],[13,23,32],[14,20,33],[15,18,34],[16,22,31]]; RG37245_5:=Group([(1,2,3)(4,9,5)(6,7,8)]); R37245_6:=[[1,41,46],[2,42,47],[3,43,48],[4,36,45],[5,26,44],[6,27,35],[7,24,37],[8,21,38],[9,28,30],[10,18,39],[11,25,31],[12,17,40],[13,20,34],[14,22,32],[15,19,33],[16,23,29]]; RG37245_6:=Group([(1,4,6)(2,9,7)(3,5,8)]); R37245_7:=[[1,41,46],[2,42,47],[3,43,48],[4,36,45],[5,26,44],[6,27,35],[7,21,39],[8,22,38],[9,28,30],[10,20,37],[11,25,31],[12,17,40],[13,23,32],[14,24,29],[15,18,34],[16,19,33]]; RG37245_7:=Group([(2,3)(4,5)(6,7),(1,2)(5,9)(6,8)]); R37245_8:=[[1,41,46],[2,42,47],[3,43,48],[4,36,45],[5,26,44],[6,27,35],[7,28,33],[8,23,37],[9,19,39],[10,25,32],[11,18,38],[12,17,40],[13,20,34],[14,24,29],[15,21,30],[16,22,31]]; RG37245_8:=Group([(1,2,3)(4,9,5)(6,7,8)]); R37245_9:=[[1,41,46],[2,42,47],[3,43,48],[4,36,45],[5,26,44],[6,27,35],[7,28,33],[8,21,38],[9,19,39],[10,20,37],[11,25,30],[12,17,40],[13,23,32],[14,24,29],[15,18,34],[16,22,31]]; RG37245_9:=Group([(2,3)(4,5)(6,7),(1,2)(5,9)(6,8)]); R37245_10:=[[1,41,46],[2,42,47],[3,43,48],[4,36,45],[5,26,44],[6,27,35],[7,28,33],[8,25,34],[9,19,39],[10,20,37],[11,18,38],[12,17,40],[13,23,32],[14,24,29],[15,21,30],[16,22,31]]; RG37245_10:=Group([(2,3)(4,5)(6,7),(1,2)(5,9)(6,8),(1,4,8,3,9,7)(2,5,6)]); # Design 44417: 1 resolution(s), autom. group order 18 D44417:=[[1,2,3],[1,2,3],[1,2,4],[1,2,4],[1,3,5],[1,3,5],[1,4,6],[1,4,6],[1,5,7],[1,5,7],[1,6,8],[1,6,8],[1,7,9],[1,7,9],[1,8,9],[1,8,9],[2,3,6],[2,3,6],[2,4,5],[2,4,5],[2,5,7],[2,5,7],[2,6,9],[2,6,9],[2,7,8],[2,7,8],[2,8,9],[2,8,9],[3,4,8],[3,4,8],[3,4,9],[3,4,9],[3,5,9],[3,5,9],[3,6,7],[3,6,7],[3,7,8],[3,7,8],[4,5,8],[4,5,8],[4,6,7],[4,6,7],[4,7,9],[4,7,9],[5,6,8],[5,6,8],[5,6,9],[5,6,9]]; G44417:=Group([(2,5)(4,7)(6,9),(1,2)(3,4)(8,9),(1,3,8)(2,4,9)(5,7,6)]); R44417_1:=[[1,43,45],[2,44,46],[3,37,47],[4,38,48],[5,27,41],[6,28,42],[7,25,33],[8,26,34],[9,23,29],[10,24,30],[11,21,31],[12,22,32],[13,17,39],[14,18,40],[15,19,35],[16,20,36]]; RG44417_1:=Group([(2,5)(4,7)(6,9),(1,3,8)(2,4,9)(5,7,6),(1,2)(3,4)(8,9)]); # Design 45317: 3 resolution(s), autom. group order 18 D45317:=[[1,2,3],[1,2,3],[1,2,4],[1,2,4],[1,3,5],[1,3,5],[1,4,6],[1,4,7],[1,5,6],[1,5,8],[1,6,9],[1,6,9],[1,7,8],[1,7,8],[1,7,9],[1,8,9],[2,3,9],[2,3,9],[2,4,7],[2,4,8],[2,5,6],[2,5,7],[2,5,8],[2,5,8],[2,6,7],[2,6,7],[2,6,9],[2,8,9],[3,4,6],[3,4,7],[3,4,7],[3,4,8],[3,5,7],[3,5,8],[3,6,8],[3,6,8],[3,6,9],[3,7,9],[4,5,6],[4,5,6],[4,5,9],[4,5,9],[4,8,9],[4,8,9],[5,7,9],[5,7,9],[6,7,8],[6,7,8]]; G45317:=Group([(2,3)(4,5)(7,8),(1,2)(5,9)(6,8),(1,4,6,3,9,7)(2,5,8)]); R45317_1:=[[1,41,47],[2,42,48],[3,35,45],[4,36,46],[5,25,43],[6,26,44],[7,23,38],[8,24,37],[9,28,30],[10,27,31],[11,19,34],[12,20,33],[13,17,39],[14,18,40],[15,21,32],[16,22,29]]; RG45317_1:=Group([(2,3)(4,5)(7,8),(1,2)(5,9)(6,8)]); R45317_2:=[[1,41,47],[2,42,48],[3,35,45],[4,36,46],[5,25,43],[6,26,44],[7,23,38],[8,27,34],[9,28,30],[10,19,37],[11,20,33],[12,24,31],[13,17,39],[14,18,40],[15,21,32],[16,22,29]]; RG45317_2:=Group([(2,3)(4,5)(7,8),(1,2)(5,9)(6,8)]); R45317_3:=[[1,41,47],[2,42,48],[3,35,45],[4,36,46],[5,25,43],[6,26,44],[7,28,33],[8,27,34],[9,20,38],[10,19,37],[11,23,30],[12,24,31],[13,17,39],[14,18,40],[15,21,32],[16,22,29]]; RG45317_3:=Group([(2,3)(4,5)(7,8),(1,2)(5,9)(6,8),(1,4,6,3,9,7)(2,5,8)]); # Design 56910: 1 resolution(s), autom. group order 18 D56910:=[[1,2,3],[1,2,3],[1,2,3],[1,2,4],[1,3,5],[1,4,6],[1,4,6],[1,4,7],[1,5,6],[1,5,8],[1,5,8],[1,6,8],[1,7,9],[1,7,9],[1,7,9],[1,8,9],[2,3,9],[2,4,7],[2,4,7],[2,4,8],[2,5,6],[2,5,6],[2,5,6],[2,5,7],[2,6,9],[2,7,8],[2,8,9],[2,8,9],[3,4,6],[3,4,8],[3,4,8],[3,4,8],[3,5,7],[3,5,7],[3,5,8],[3,6,7],[3,6,9],[3,6,9],[3,7,9],[4,5,7],[4,5,9],[4,5,9],[4,5,9],[4,6,9],[5,8,9],[6,7,8],[6,7,8],[6,7,8]]; G56910:=Group([(2,7)(3,9)(5,8),(1,2,3)(4,9,5)(6,8,7)]); R56910_1:=[[1,41,46],[2,42,47],[3,43,48],[4,36,45],[5,26,44],[6,27,33],[7,28,34],[8,25,35],[9,20,39],[10,18,37],[11,19,38],[12,17,40],[13,21,30],[14,22,31],[15,23,32],[16,24,29]]; RG56910_1:=Group([(2,7)(3,9)(5,8),(1,2,3)(4,9,5)(6,8,7)]); # Design 60833: 3 resolution(s), autom. group order 18 D60833:=[[1,2,3],[1,2,3],[1,2,4],[1,2,5],[1,3,4],[1,3,6],[1,4,7],[1,4,8],[1,5,7],[1,5,8],[1,5,9],[1,6,7],[1,6,8],[1,6,9],[1,7,9],[1,8,9],[2,3,5],[2,3,6],[2,4,7],[2,4,8],[2,4,9],[2,5,7],[2,5,9],[2,6,7],[2,6,8],[2,6,9],[2,7,8],[2,8,9],[3,4,7],[3,4,8],[3,4,9],[3,5,7],[3,5,8],[3,5,9],[3,6,8],[3,6,9],[3,7,8],[3,7,9],[4,5,6],[4,5,6],[4,5,8],[4,5,9],[4,6,7],[4,6,9],[5,6,7],[5,6,8],[7,8,9],[7,8,9]]; G60833:=Group([(2,3)(5,6)(7,8),(1,2)(4,5)(8,9),(1,4,9)(2,5,8)(3,6,7)]); R60833_1:=[[1,39,47],[2,40,48],[3,38,46],[4,37,44],[5,28,45],[6,27,42],[7,23,35],[8,22,36],[9,26,30],[10,24,31],[11,25,29],[12,21,33],[13,19,34],[14,20,32],[15,18,41],[16,17,43]]; RG60833_1:=Group([(2,3)(5,6)(7,8),(1,2)(4,5)(8,9),(1,4,9)(2,6,8,3,5,7)]); R60833_2:=[[1,39,47],[2,40,48],[3,38,46],[4,37,44],[5,28,45],[6,27,42],[7,23,35],[8,22,36],[9,25,31],[10,26,29],[11,24,30],[12,21,33],[13,19,34],[14,20,32],[15,18,41],[16,17,43]]; RG60833_2:=Group([(1,2,3)(4,5,6)(7,9,8)]); R60833_3:=[[1,39,47],[2,40,48],[3,38,46],[4,37,44],[5,28,45],[6,27,42],[7,23,35],[8,22,36],[9,25,31],[10,26,29],[11,24,30],[12,20,34],[13,21,32],[14,19,33],[15,18,41],[16,17,43]]; RG60833_3:=Group([(2,3)(5,6)(7,8),(1,2)(4,5)(8,9)]); # Design 60855: 4 resolution(s), autom. group order 18, simple D60855:=[[1,2,3],[1,2,4],[1,2,5],[1,2,6],[1,3,4],[1,3,5],[1,3,7],[1,4,6],[1,4,8],[1,5,8],[1,5,9],[1,6,7],[1,6,9],[1,7,8],[1,7,9],[1,8,9],[2,3,6],[2,3,7],[2,3,9],[2,4,5],[2,4,8],[2,4,9],[2,5,6],[2,5,7],[2,6,8],[2,7,8],[2,7,9],[2,8,9],[3,4,5],[3,4,6],[3,4,9],[3,5,8],[3,5,9],[3,6,7],[3,6,8],[3,7,8],[3,8,9],[4,5,7],[4,5,8],[4,6,7],[4,6,9],[4,7,8],[4,7,9],[5,6,7],[5,6,8],[5,6,9],[5,7,9],[6,8,9]]; G60855:=Group([(3,4)(5,6)(7,8),(1,2,9)(3,7,5)(4,8,6),(1,3,6)(2,7,4)(5,8,9)]); R60855_1:=[[1,38,48],[2,35,47],[3,37,40],[4,33,42],[5,26,46],[6,25,43],[7,22,45],[8,27,32],[9,19,44],[10,18,41],[11,21,34],[12,28,29],[13,20,36],[14,23,31],[15,17,39],[16,24,30]]; RG60855_1:=Group([()]); R60855_2:=[[1,38,48],[2,37,44],[3,35,43],[4,33,42],[5,25,47],[6,26,41],[7,22,45],[8,27,32],[9,18,46],[10,19,40],[11,21,34],[12,28,29],[13,20,36],[14,23,31],[15,17,39],[16,24,30]]; RG60855_2:=Group([(1,5,4)(2,3,8)(6,9,7),(1,8,7)(2,6,5)(3,9,4)]); R60855_3:=[[1,42,46],[2,35,47],[3,36,41],[4,32,43],[5,27,45],[6,28,40],[7,20,48],[8,24,37],[9,19,44],[10,22,34],[11,26,30],[12,21,33],[13,18,39],[14,23,31],[15,25,29],[16,17,38]]; RG60855_3:=Group([(1,3,6)(2,7,4)(5,8,9),(1,7,8)(2,5,6)(3,4,9)]); R60855_4:=[[1,38,48],[2,35,47],[3,36,41],[4,33,42],[5,26,46],[6,28,40],[7,22,45],[8,27,32],[9,19,44],[10,17,43],[11,21,34],[12,20,37],[13,18,39],[14,23,31],[15,25,29],[16,24,30]]; RG60855_4:=Group([(3,4)(5,6)(7,8),(1,3,2,7,9,5)(4,6,8)]); # Design 70362: 1 resolution(s), autom. group order 18 D70362:=[[1,2,3],[1,2,3],[1,2,4],[1,2,5],[1,3,4],[1,3,6],[1,4,7],[1,4,7],[1,5,6],[1,5,6],[1,5,8],[1,6,9],[1,7,8],[1,7,9],[1,8,9],[1,8,9],[2,3,5],[2,3,9],[2,4,8],[2,4,9],[2,4,9],[2,5,7],[2,5,7],[2,6,7],[2,6,8],[2,6,8],[2,6,9],[2,7,8],[3,4,6],[3,4,6],[3,4,7],[3,5,7],[3,5,9],[3,5,9],[3,6,8],[3,7,8],[3,7,8],[3,8,9],[4,5,6],[4,5,8],[4,5,8],[4,5,9],[4,6,8],[4,7,9],[5,6,7],[5,8,9],[6,7,9],[6,7,9]]; G70362:=Group([(2,8)(3,9)(4,7),(1,2)(4,5)(6,9),(1,3,4)(2,6,7)(5,8,9)]); R70362_1:=[[1,40,47],[2,41,48],[3,38,45],[4,35,44],[5,24,46],[6,28,42],[7,25,33],[8,26,34],[9,20,36],[10,21,37],[11,27,31],[12,19,32],[13,18,39],[14,17,43],[15,22,29],[16,23,30]]; RG70362_1:=Group([(2,8)(3,9)(4,7),(1,3,5,8,6,7)(2,9,4)]); # Design 89537: 4 resolution(s), autom. group order 18 D89537:=[[1,2,3],[1,2,3],[1,2,4],[1,2,5],[1,3,4],[1,3,6],[1,4,7],[1,4,7],[1,5,8],[1,5,8],[1,5,9],[1,6,8],[1,6,9],[1,6,9],[1,7,8],[1,7,9],[2,3,8],[2,3,9],[2,4,8],[2,4,9],[2,4,9],[2,5,6],[2,5,7],[2,5,7],[2,6,7],[2,6,8],[2,6,8],[2,7,9],[3,4,8],[3,4,8],[3,4,9],[3,5,6],[3,5,7],[3,5,9],[3,5,9],[3,6,7],[3,6,7],[3,7,8],[4,5,6],[4,5,6],[4,5,7],[4,5,8],[4,6,7],[4,6,9],[5,8,9],[6,8,9],[7,8,9],[7,8,9]]; G89537:=Group([(2,3)(5,6)(8,9),(1,2,5)(3,7,8)(4,6,9)]); R89537_1:=[[1,39,47],[2,41,46],[3,36,45],[4,38,44],[5,22,48],[6,28,42],[7,26,34],[8,27,35],[9,20,37],[10,25,31],[11,17,43],[12,21,33],[13,23,29],[14,24,30],[15,18,40],[16,19,32]]; RG89537_1:=Group([(1,9)(3,4)(5,7)]); R89537_2:=[[1,39,47],[2,41,46],[3,36,45],[4,38,44],[5,22,48],[6,28,42],[7,26,34],[8,27,35],[9,18,43],[10,25,31],[11,19,37],[12,20,33],[13,23,29],[14,24,30],[15,21,32],[16,17,40]]; RG89537_2:=Group([(1,7,4)(2,8,6)(3,9,5)]); R89537_3:=[[1,39,47],[2,40,48],[3,33,46],[4,38,44],[5,25,45],[6,28,42],[7,26,34],[8,27,35],[9,20,36],[10,21,37],[11,17,43],[12,18,41],[13,23,29],[14,24,30],[15,22,31],[16,19,32]]; RG89537_3:=Group([(2,3)(5,6)(8,9),(1,9)(3,4)(5,7),(1,6,3)(2,9,7)(4,8,5)]); R89537_4:=[[1,39,47],[2,43,45],[3,32,48],[4,38,44],[5,23,46],[6,28,42],[7,26,34],[8,27,35],[9,20,36],[10,25,31],[11,19,37],[12,21,33],[13,17,41],[14,24,29],[15,18,40],[16,22,30]]; RG89537_4:=Group([(1,9,8)(2,4,3)(5,6,7),(1,6,3)(2,9,7)(4,8,5)]); # Design 113101: 6 resolution(s), autom. group order 18 D113101:=[[1,2,3],[1,2,3],[1,2,4],[1,2,5],[1,3,6],[1,3,7],[1,4,5],[1,4,6],[1,4,8],[1,5,7],[1,5,9],[1,6,8],[1,6,9],[1,7,8],[1,7,9],[1,8,9],[2,3,8],[2,3,9],[2,4,6],[2,4,7],[2,4,8],[2,5,6],[2,5,7],[2,5,9],[2,6,7],[2,6,9],[2,7,8],[2,8,9],[3,4,5],[3,4,6],[3,4,8],[3,4,9],[3,5,7],[3,5,8],[3,5,9],[3,6,7],[3,6,9],[3,7,8],[4,5,6],[4,5,7],[4,7,9],[4,7,9],[4,8,9],[5,6,8],[5,6,8],[5,8,9],[6,7,8],[6,7,9]]; G113101:=Group([(4,5)(6,7)(8,9),(1,2,3)(4,8,7,5,9,6),(1,4,3,7,2,9)(5,8,6)]); R113101_1:=[[1,41,44],[2,42,45],[3,35,47],[4,36,43],[5,20,46],[6,28,39],[7,17,48],[8,24,38],[9,26,33],[10,21,37],[11,25,31],[12,18,40],[13,27,29],[14,22,32],[15,19,34],[16,23,30]]; RG113101_1:=Group([()]); R113101_2:=[[1,41,44],[2,42,45],[3,35,47],[4,36,43],[5,20,46],[6,28,39],[7,17,48],[8,24,38],[9,26,33],[10,21,37],[11,27,30],[12,18,40],[13,23,31],[14,22,32],[15,19,34],[16,25,29]]; RG113101_2:=Group([(1,6)(2,5)(3,8)]); R113101_3:=[[1,41,44],[2,42,45],[3,36,46],[4,31,48],[5,23,43],[6,28,39],[7,18,47],[8,24,38],[9,26,33],[10,21,37],[11,27,30],[12,20,35],[13,17,40],[14,22,32],[15,19,34],[16,25,29]]; RG113101_3:=Group([(1,3,2)(4,7,9)(5,6,8),(1,7,6)(2,4,5)(3,9,8)]); R113101_4:=[[1,41,44],[2,42,45],[3,34,48],[4,32,47],[5,20,46],[6,22,43],[7,28,36],[8,24,38],[9,26,33],[10,21,37],[11,27,30],[12,18,40],[13,23,31],[14,19,35],[15,17,39],[16,25,29]]; RG113101_4:=Group([(4,5)(6,7)(8,9),(1,2,3)(4,9,7)(5,8,6),(1,4,3,7,2,9)(5,8,6)]); R113101_5:=[[1,41,44],[2,42,45],[3,34,48],[4,32,47],[5,20,46],[6,22,43],[7,28,36],[8,24,38],[9,26,33],[10,21,37],[11,25,31],[12,18,40],[13,27,29],[14,19,35],[15,17,39],[16,23,30]]; RG113101_5:=Group([(1,2,3)(4,9,7)(5,8,6)]); R113101_6:=[[1,41,44],[2,42,45],[3,34,48],[4,32,47],[5,20,46],[6,22,43],[7,26,38],[8,28,33],[9,24,36],[10,21,37],[11,25,31],[12,18,40],[13,27,29],[14,19,35],[15,17,39],[16,23,30]]; RG113101_6:=Group([(1,2,3)(4,9,7)(5,8,6),(1,4,3,7,2,9)(5,8,6)]); # Design 113128: 1 resolution(s), autom. group order 18 D113128:=[[1,2,3],[1,2,3],[1,2,4],[1,2,5],[1,3,4],[1,3,6],[1,4,7],[1,4,8],[1,5,7],[1,5,7],[1,5,9],[1,6,8],[1,6,9],[1,6,9],[1,7,8],[1,8,9],[2,3,5],[2,3,6],[2,4,7],[2,4,7],[2,4,9],[2,5,8],[2,5,9],[2,6,7],[2,6,8],[2,6,8],[2,7,9],[2,8,9],[3,4,8],[3,4,9],[3,4,9],[3,5,7],[3,5,8],[3,5,8],[3,6,7],[3,6,9],[3,7,8],[3,7,9],[4,5,6],[4,5,6],[4,5,8],[4,5,9],[4,6,7],[4,6,8],[5,6,7],[5,6,9],[7,8,9],[7,8,9]]; G113128:=Group([(2,9)(3,6)(4,8),(1,2,3)(4,5,6)(7,8,9)]); R113128_1:=[[1,39,47],[2,40,48],[3,37,46],[4,38,44],[5,28,45],[6,27,41],[7,22,36],[8,23,35],[9,25,30],[10,26,31],[11,24,29],[12,21,32],[13,19,33],[14,20,34],[15,18,42],[16,17,43]]; RG113128_1:=Group([(2,9)(3,6)(4,8),(1,5,7)(2,6,8)(3,4,9),(1,2,7,8,5,6)(3,4,9)]);