PermutationGroup<136|
\[2,4,6,8,10,9,13,1,15,14,18,19,16,22,3,25,26,23,24,30,
31,5,34,35,7,33,39,40,41,36,37,44,45,11,12,49,50,52,46,
47,48,57,58,51,17,62,63,60,20,21,66,61,68,69,71,73,64,65,
75,29,77,27,28,81,82,32,84,78,79,88,80,90,76,87,83,89,38,
95,96,98,42,43,101,94,103,93,100,97,56,99,107,108,109,111,
53,54,114,55,115,113,59,118,112,119,120,121,105,116,117,102,
67,125,74,70,72,127,86,124,123,91,126,129,130,110,85,131,92,
132,128,104,106,122,135,136,134,133],
\[3,5,7,9,11,12,1,14,16,17,2,20,21,23,24,4,27,28,29,6,
32,33,8,36,37,38,10,31,42,43,18,13,46,47,48,15,51,53,54,
55,56,19,59,60,61,22,50,64,65,34,25,67,26,70,72,66,74,58,
30,76,78,79,80,35,83,41,85,86,87,39,89,40,91,92,93,44,94,
45,97,99,100,82,49,102,52,104,103,90,105,106,98,57,110,112,
109,113,62,73,63,116,117,108,69,68,71,88,122,84,123,75,124,
77,125,115,126,81,118,101,120,128,121,130,95,127,96,114,111,
119,133,107,131,134,136,135,132,129]
/*order=300696=2^3*3*11*17*67*/>
