PermutationGroup<152|
\[2,4,1,3,7,8,6,5,11,13,10,16,9,18,19,14,22,12,17,26,
27,15,30,31,33,23,24,37,38,20,21,42,29,44,45,47,32,25,51,
52,54,28,57,39,40,60,41,61,62,64,34,35,67,36,68,69,50,72,
73,53,55,56,77,43,79,80,46,48,49,84,85,65,66,88,89,91,70,
94,58,59,97,98,100,63,78,104,106,81,82,108,83,110,111,71,
113,115,74,75,117,76,119,120,105,95,112,96,123,99,125,101,
102,114,86,103,87,121,90,129,92,93,107,132,116,134,118,135,
136,137,109,138,139,127,141,128,130,122,124,126,133,144,131,
146,147,142,148,140,145,143,151,152,150,149],
\[3,5,6,2,4,1,9,10,12,14,15,7,17,8,20,21,23,24,25,11,
28,29,13,32,34,35,36,16,39,40,41,18,43,19,46,48,49,50,22,
53,55,56,58,44,59,26,57,27,63,65,51,66,30,64,31,70,71,33,
74,75,76,62,37,78,38,81,82,83,69,42,47,86,87,45,90,92,93,
54,95,96,52,99,101,102,103,105,98,107,80,60,109,61,108,112,
114,89,116,73,67,118,68,117,119,121,72,122,124,77,126,94,
106,110,123,79,127,128,84,130,85,115,131,111,133,88,125,91,
120,97,129,100,104,140,113,134,136,142,137,132,143,138,145,
135,144,139,146,141,149,150,152,151,148,147]
/*order=50616=2^3*3^2*19*37*/>
