PermutationGroup<248|
\[2,4,6,8,10,9,13,1,15,14,18,19,16,22,3,25,26,23,24,30,
31,5,34,35,7,33,39,40,38,36,37,45,46,11,12,50,51,49,47,
48,56,57,58,60,52,17,64,65,63,20,21,70,71,72,74,66,67,68,
79,69,81,82,29,27,28,87,88,89,91,32,84,85,96,86,97,98,100,
102,90,104,92,93,106,107,108,101,41,42,43,114,44,116,117,
119,121,109,110,111,126,112,55,113,129,115,131,118,53,54,135,
136,137,139,140,59,142,61,62,144,133,146,134,148,149,151,122,
138,155,157,141,160,143,162,164,166,73,75,76,170,77,78,173,
80,175,83,128,165,177,167,168,132,169,124,179,180,171,183,
172,185,156,174,188,176,189,94,190,95,125,184,152,99,193,145,
103,196,105,150,191,200,178,192,202,203,194,123,195,207,208,
197,198,120,210,209,127,159,213,130,215,216,217,153,181,211,
212,220,221,222,205,214,154,147,201,226,158,229,161,163,225,
230,204,227,186,228,233,234,236,182,219,235,187,237,240,241,
238,239,206,199,243,244,245,232,231,246,218,223,224,248,242,
247],
\[3,5,7,9,11,12,1,14,16,17,2,20,21,23,24,4,27,28,29,6,
32,33,8,36,37,38,10,41,42,43,44,13,47,48,49,15,52,53,54,
55,18,19,59,61,62,63,22,66,67,68,69,25,26,73,75,76,77,78,
30,80,31,83,84,85,86,34,35,90,92,93,94,95,39,88,40,99,101,
82,103,105,79,58,45,46,109,110,111,112,113,50,115,51,118,
120,122,123,124,125,56,127,57,128,81,130,60,132,133,134,64,
65,138,74,117,141,143,114,89,70,145,71,147,72,150,152,153,
154,156,158,159,161,131,163,165,167,168,169,148,87,171,172,
116,174,91,176,149,121,146,178,119,96,136,97,98,181,182,100,
184,102,186,187,104,135,106,157,107,191,108,162,151,192,194,
195,183,197,175,198,199,137,179,201,126,204,205,164,206,129,
189,209,160,166,190,211,212,139,140,214,142,144,218,200,215,
188,219,155,173,223,207,224,202,225,170,227,228,216,180,196,
217,177,231,232,221,229,185,235,237,220,193,238,239,240,203,
226,230,242,208,236,210,213,222,233,244,247,241,243,248,245,
234,246]
/*order=226920=2^3*3*5*31*61*/>
