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| | res1642ao32.txt |
 | | group order 32, simple, decomposable D[4]:=[[1,2,3,4],[1,2,5,6],[1,3,7,8],[1,4,9,10],[1,5,7,9],[1,6,11,12],[1,8,13,14],[1,10,15,16],[1,11,13,15],[1,12,14,16],[2,3,11,14],[2,4,7,12],[2,5,11,16],[2,6,10,14],[2,7,13,15],[2,8,9,12],[2,8,10,13],[2,9,15,16],[3,4,5,15],[3,5,6,13],[3,6,10,16],[3,7,10,12],[3,8,11,15],[3,9,12,13],[3,9,14,16],[4,5,8,10],[4,6,9,15],[4,6,13,14],[4,7,11,14],[4,8,11,16],[4,12,13,16],[5,7,13,16],[5,8,9,14],[5,10,11,12],[5,12,14,15],[6,7,8,16],[6,7,9,11],[6,8,12,15],[7,10,14,15],[9,10,11,13]]; G[4]:=Group([(2,16)(3,14)(4,12)(5,15)(6,10)(7,13)(9,11),(1,2)(3,5)(4,6)(7,11)(8,16)(9,14)(13,15),(1,3,12,11,2,9,6,14,8,7,10,5,16,15,4,13)]); R[4]:=[]; RG[4]:=[]; # Design 4 / Resolution 1: autom. |
 | | group order 32, decomposable D[23]:=[[1,2,3,4],[1,2,3,4],[1,5,6,7],[1,5,6,7],[1,8,9,10],[1,8,9,11],[1,10,12,13],[1,11,12,14],[1,13,15,16],[1,14,15,16],[2,5,8,10],[2,5,8,11],[2,6,12,13],[2,6,12,14],[2,7,9,15],[2,7,9,15],[2,10,14,16],[2,11,13,16],[3,5,13,15],[3,5,14,15],[3,6,8,16],[3,6,8,16],[3,7,10,12],[3,7,11,12],[3,9,10,14],[3,9,11,13],[4,5,10,13],[4,5,11,14],[4,6,9,13],[4,6,9,14],[4,7,10,16],[4,7,11,16],[4,8,12,15],[4,8,12,15],[5,9,12,16],[5,9,12,16],[6,10,11,15],[6,10,11,15],[7,8,13,14],[7,8,13,14]]; G[23]:=Group([(10,11)(13,14),(2,3)(6,7)(8,15)(9,16)(10,13)(11,14),(1,2)(3,4)(5,9)(6,15)(12,16)(13,14),(1,5)(2,9)(3,16)(4,12)]); R[23]:=[]; RG[23]:=[]; # Design 23 / Resolution 1: autom. |
 | | group order 32, decomposable R[28][1]:=[[1,35,37,39],[2,36,38,40],[3,17,26,34],[4,18,25,32],[5,13,20,33],[6,14,19,31],[7,15,22,28],[8,16,21,27],[9,11,24,30],[10,12,23,29]]; RG[28][1]:=Group([(5,9)(6,10)(11,16),(7,8)(12,15)(13,14),(2,4)(5,13)(6,12)(7,16)(8,11)(9,14)(10,15),(1,3)(5,14)(6,8)(7,10)(9,13)(11,12)(15,16),(1,2)(3,4)(6,11)(10,16)(13,14)]); # Design 29: 2 resolution(s), autom. |
| www.tcs.hut.fi /~pkaski/desdata/res1642ao32.txt (1725 words) |
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