PermutationGroup<120|
\[2,4,6,8,10,9,13,1,15,14,18,19,16,22,3,25,26,23,24,30,
31,5,34,35,7,33,39,40,42,36,37,45,46,11,12,50,51,29,47,
48,56,49,58,59,52,17,62,63,38,20,21,67,68,69,71,64,74,65,
66,76,77,27,28,80,81,82,32,57,78,87,79,89,90,53,92,83,84,
95,97,41,43,44,101,102,103,105,96,75,98,99,108,100,107,111,
54,110,55,114,115,88,60,61,91,118,113,86,116,85,119,70,117,
94,106,72,73,120,112,109,104,93],
\[3,5,7,9,11,12,1,14,16,17,2,20,21,23,24,4,27,28,29,6,
32,33,8,36,37,38,10,41,43,44,45,13,47,48,49,15,52,53,54,
55,18,57,19,60,61,42,22,64,65,66,67,25,26,70,72,73,46,75,
56,30,31,78,79,34,35,83,84,85,86,39,88,40,59,91,93,94,90,
96,98,99,100,80,50,51,104,106,71,87,103,107,109,110,58,112,
113,62,92,63,82,116,117,115,118,68,95,69,77,119,74,97,101,
76,105,108,120,81,111,89,114,102]
/*order=24360=2^3*3*5*7*29*/>
