PermutationGroup<168|
\[2,4,6,8,10,9,13,1,15,14,18,19,16,22,3,25,26,23,24,30,
31,5,34,35,7,33,38,39,41,36,37,45,40,11,12,49,50,46,47,
17,48,55,56,58,51,61,62,63,20,21,67,68,70,72,64,65,76,66,
78,79,27,28,29,84,85,87,32,81,91,82,93,83,71,95,96,86,99,
88,89,103,104,106,102,42,43,110,44,112,113,115,105,117,107,
119,108,109,122,123,111,116,120,54,114,52,130,53,73,132,133,
57,136,59,60,139,129,137,131,94,127,138,141,134,135,90,98,
121,118,145,124,69,148,74,75,151,125,77,147,149,80,153,150,
154,156,157,152,158,100,92,101,126,97,161,159,160,142,144,
143,162,166,155,128,167,165,163,168,140,146,164],
\[3,5,7,9,11,12,1,14,16,17,2,20,21,23,24,4,27,28,29,6,
32,33,8,36,37,34,10,40,42,43,44,13,46,47,48,15,51,52,53,
18,54,19,57,59,60,22,26,64,65,66,25,69,71,73,74,75,30,77,
31,80,81,82,83,35,86,88,89,90,38,92,39,94,41,91,97,98,100,
101,102,45,105,107,93,108,109,49,111,50,114,116,55,118,63,
113,120,121,56,124,125,58,126,127,128,129,61,131,62,130,134,
135,137,138,72,67,110,68,96,70,106,140,117,142,143,76,144,
78,79,146,147,84,119,149,150,85,115,123,87,141,152,95,112,
155,136,99,157,103,104,133,159,148,160,162,163,151,122,164,
165,166,132,154,156,139,167,161,145,168,153,158]>
