PermutationGroup<120|
\[2,4,6,8,10,9,13,1,15,14,18,19,16,22,3,25,26,23,24,29,
30,5,33,31,7,32,37,38,34,35,12,41,11,39,44,45,42,43,20,
49,17,52,53,21,51,56,57,59,54,62,63,27,28,67,69,64,65,72,
66,73,70,68,36,77,78,80,40,83,76,82,85,79,81,89,90,91,46,
47,94,48,95,92,50,98,93,88,99,101,96,97,55,61,104,58,60,
107,108,103,105,109,106,110,111,71,112,86,74,75,113,114,84,
87,116,117,118,100,102,120,115,119],
\[3,5,7,9,11,12,1,14,16,17,2,20,21,23,24,4,27,28,25,6,
31,32,8,34,35,36,10,39,33,40,13,42,43,15,19,46,47,48,18,
50,51,22,29,54,55,26,58,60,61,30,64,65,66,68,70,69,71,37,
62,38,74,75,76,41,79,81,82,44,84,45,86,87,88,49,59,92,91,
93,52,83,53,96,97,56,89,57,100,102,98,99,103,63,101,105,
106,67,80,85,109,72,78,73,77,107,113,114,111,112,90,115,104,
116,94,95,119,108,120,117,110,118]
/*order=205320=2^3*3*5*29*59*/>
