PermutationGroup<112|
\[1,3,2,6,8,4,11,5,14,16,7,19,21,9,24,10,27,28,12,31,
13,33,23,15,37,39,17,18,41,34,20,45,22,30,49,36,25,52,26,
53,29,55,57,59,32,46,63,48,35,50,68,38,40,54,42,73,43,58,
44,66,76,78,47,81,82,60,84,51,69,87,83,86,56,91,93,61,95,
62,96,97,64,65,71,67,85,72,70,102,92,90,74,89,75,100,77,
79,80,108,99,94,104,88,103,101,105,111,107,98,110,109,106,
112],
\[2,4,5,7,9,10,12,13,15,17,18,20,22,23,25,26,6,29,30,1,
32,34,35,36,38,40,41,42,43,44,24,46,47,48,14,50,51,3,39,
28,54,56,58,60,61,62,64,65,66,67,69,70,52,71,72,16,57,73,
74,75,77,79,80,33,8,83,76,85,86,88,89,90,11,92,94,31,91,
78,95,98,45,55,97,99,100,101,102,103,104,105,106,107,82,19,
21,63,84,109,49,68,110,59,108,27,93,81,87,53,112,37,111,96
]
/*order=3265920=2^7*3^6*5*7*/>
