PermutationGroup<160|
\[2,4,5,7,8,10,1,11,13,12,3,17,16,19,20,22,6,25,23,24,
29,9,31,32,30,35,28,37,33,40,14,15,43,44,41,47,42,49,50,
18,53,27,21,52,57,58,48,61,54,55,64,65,26,68,69,71,66,67,
75,63,36,78,77,70,34,83,84,38,39,88,82,89,90,92,85,95,87,
86,98,99,100,102,45,46,106,107,60,51,103,104,113,105,81,115,
96,118,119,108,109,110,117,56,123,122,125,59,62,128,129,93,
131,132,124,134,126,94,130,76,127,139,114,73,72,143,74,116,
133,79,80,137,142,141,97,144,111,149,101,151,145,153,154,135,
91,121,155,138,146,157,150,158,147,159,148,112,120,152,140,
136,160,156],
\[3,2,6,8,9,1,7,12,14,15,16,4,18,5,21,23,24,26,27,28,
10,30,11,33,34,13,36,38,39,41,37,42,17,45,46,19,48,20,51,
52,22,54,55,56,25,59,60,31,62,63,29,66,67,32,70,72,73,74,
35,76,77,79,80,81,82,40,85,86,87,43,89,44,91,93,94,47,96,
97,49,50,101,103,104,105,53,108,109,110,111,112,57,114,58,
116,117,61,120,121,122,84,64,123,65,124,100,126,127,68,69,
130,71,129,133,135,106,75,136,137,138,78,140,141,142,83,144,
115,145,134,90,88,125,146,147,148,92,95,150,143,152,98,99,
102,119,131,107,156,113,128,149,118,159,153,139,151,160,132,
155,158,154,157]
/*order=492960=2^5*3*5*13*79*/>
