100阶以下子群和商群的搜索

本文主要是介绍100阶以下子群和商群的搜索，希望对大家解决编程问题提供一定的参考价值，需要的开发者们随着小编来一起学习吧！

D:\MathTool\gaptool>Subgroup 11 0 100
置换群S_11的子群:
0,1->[1,2,3,4,5,6,7,8,9,10,11],[1,2,3,4,5,6,7,8,9,11,10]=>GAP[2,1]:
0,3->[1,2,3,4,5,6,7,8,9,10,11],[1,2,3,4,5,6,7,8,10,11,9]=>GAP[3,1]:
0,9->[1,2,3,4,5,6,7,8,9,10,11],[1,2,3,4,5,6,7,9,10,11,8]=>GAP[4,1]:
0,27->[1,2,3,4,5,6,7,8,9,10,11],[1,2,3,4,5,6,8,7,10,11,9]=>GAP[6,2]:
0,33->[1,2,3,4,5,6,7,8,9,10,11],[1,2,3,4,5,6,8,9,10,11,7]=>GAP[5,1]:
1,2->[1,2,3,4,5,6,7,8,9,11,10],[1,2,3,4,5,6,7,8,10,9,11]=>GAP[6,1]:
1,6->[1,2,3,4,5,6,7,8,9,11,10],[1,2,3,4,5,6,7,9,8,10,11]=>GAP[4,2]:
1,8->[1,2,3,4,5,6,7,8,9,11,10],[1,2,3,4,5,6,7,9,10,8,11]=>GAP[24,12]:
1,16->[1,2,3,4,5,6,7,8,9,11,10],[1,2,3,4,5,6,7,10,11,8,9]=>GAP[8,3]:
1,26->[1,2,3,4,5,6,7,8,9,11,10],[1,2,3,4,5,6,8,7,10,9,11]=>GAP[12,4]:
3,7->[1,2,3,4,5,6,7,8,10,11,9],[1,2,3,4,5,6,7,9,8,11,10]=>GAP[12,3]:
3,30->[1,2,3,4,5,6,7,8,10,11,9],[1,2,3,4,5,6,8,9,7,10,11]=>GAP[60,5]:
7,26->[1,2,3,4,5,6,7,9,8,11,10],[1,2,3,4,5,6,8,7,10,9,11]=>GAP[10,1]:
7,32->[1,2,3,4,5,6,7,9,8,11,10],[1,2,3,4,5,6,8,9,10,7,11]=>GAP[20,3]:
^C
D:\MathTool\gaptool>Subgroup 11 150 1000
置换群S_11的子群:
150,151->[1,2,3,4,5,7,8,9,6,10,11],[1,2,3,4,5,7,8,9,6,11,10]=>GAP[8,2]:
150,168->[1,2,3,4,5,7,8,9,6,10,11],[1,2,3,4,5,7,9,6,8,10,11]=>GAP[24,12]:
150,169->[1,2,3,4,5,7,8,9,6,10,11],[1,2,3,4,5,7,9,6,8,11,10]=>GAP[48,48]:
150,176->[1,2,3,4,5,7,8,9,6,10,11],[1,2,3,4,5,7,9,8,10,6,11]=>GAP[20,3]:
150,264->[1,2,3,4,5,7,8,9,6,10,11],[1,2,3,4,5,8,7,6,9,10,11]=>GAP[8,3]:
150,288->[1,2,3,4,5,7,8,9,6,10,11],[1,2,3,4,5,8,9,6,7,10,11]=>GAP[4,1]:
150,727->[1,2,3,4,5,7,8,9,6,10,11],[1,2,3,4,6,5,7,9,8,11,10]=>GAP[40,-1]:
N0C1Nk=1,11,20,4,0,4,0,0,[[0,20],[1,20]],[[1,1,1],[2,1,1],[2,5,10],[4,5,20],[5,4,4],[10,4,4]]
S2=0,11,65,10,60,94,300,240
kKEZDCANS=10,[2,0,2,6,0,0,0,0],20,2,5,0,0,0,1
151,153->[1,2,3,4,5,7,8,9,6,11,10],[1,2,3,4,5,7,8,9,10,11,6]=>GAP[72,40]:
151,160->[1,2,3,4,5,7,8,9,6,11,10],[1,2,3,4,5,7,8,10,11,6,9]=>GAP[36,9]:
^C
D:\MathTool\gaptool>Subgroup 6
720阶置换群S_6的子群:
0,1->[1,2,3,4,5,6],[1,2,3,4,6,5]=>GAP[2,1]:
0,3->[1,2,3,4,5,

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