PermutationGroup<119|
\[2,1,5,7,3,10,4,12,13,6,11,8,9,19,20,22,23,25,14,15,
21,16,17,31,18,33,34,36,38,39,24,32,26,27,45,28,46,29,30,
40,48,50,51,53,35,37,57,41,59,42,43,62,44,64,65,67,47,70,
49,73,74,52,77,54,55,80,56,82,75,58,84,85,60,61,69,88,63,
90,91,66,94,68,97,71,72,100,101,76,102,78,79,104,105,81,
103,106,83,98,107,86,87,89,95,92,93,96,99,114,115,112,111,
110,117,108,109,116,113,119,118],
\[3,4,6,8,9,1,11,2,14,15,16,17,18,5,21,7,24,26,27,28,
10,29,30,12,32,13,35,37,36,40,41,42,43,44,19,22,20,39,47,
23,49,25,52,54,55,56,38,58,31,60,61,33,63,34,66,68,69,71,
72,65,75,76,78,79,50,45,81,46,73,83,48,86,57,87,51,89,74,
53,92,93,95,96,98,99,90,59,77,80,62,103,101,64,88,100,67,
97,82,70,108,109,110,111,85,102,112,113,107,84,94,91,104,
116,118,115,117,105,114,106,119]
/*order=197406720=2^12*3^4*5*7*17*/>
