PermutationGroup<208|
\[2,4,6,8,10,9,13,1,15,14,18,19,16,22,3,25,26,23,24,30,
31,5,34,35,7,33,39,40,42,36,37,46,47,11,12,45,51,53,48,
49,56,50,58,27,20,52,17,44,60,62,21,64,59,66,67,61,70,63,
72,28,75,29,77,32,78,73,74,82,83,76,86,38,89,90,41,93,43,
88,96,97,99,91,92,102,103,94,106,107,54,55,111,112,57,115,
117,108,109,120,110,122,123,113,114,126,127,116,65,130,131,
133,68,69,136,137,71,140,129,142,143,132,145,134,135,148,124,
138,139,150,151,79,80,154,81,156,157,84,85,159,144,87,161,
152,153,105,155,164,166,158,169,160,95,171,172,98,173,100,
101,125,104,176,170,146,147,174,180,175,182,183,168,184,118,
119,121,162,163,128,187,188,189,185,191,186,149,141,193,194,
179,181,177,198,178,201,165,167,205,206,207,203,196,199,204,
190,202,208,197,200,195,192],
\[3,5,7,9,11,12,1,14,16,17,2,20,21,23,24,4,27,28,29,6,
32,33,8,36,37,38,10,41,43,44,45,13,48,49,50,15,52,54,31,
55,18,57,19,51,39,42,59,22,61,63,30,25,65,26,68,69,46,71,
73,74,34,76,35,62,79,80,81,40,84,85,87,88,47,91,92,64,94,
95,53,98,100,82,101,56,104,105,58,108,109,110,60,113,114,
116,118,96,119,66,121,67,124,102,125,70,128,99,129,72,132,
134,111,135,75,138,139,77,141,78,144,120,106,146,147,83,149,
117,131,86,152,130,153,89,155,90,158,136,148,93,160,133,126,
162,163,97,145,165,167,168,103,150,170,107,127,154,140,174,
175,112,151,115,161,177,178,179,122,181,123,137,169,159,164,
166,173,185,186,176,142,143,171,190,172,192,183,184,156,157,
195,196,197,199,200,202,203,204,201,207,208,194,180,205,187,
182,206,198,191,193,188,189]>
