PermutationGroup<240|
\[199,108,97,44,197,99,43,33,50,210,223,208,200,172,28,12,
174,72,22,128,96,133,239,51,78,32,112,101,148,233,8,102,156,
29,236,185,147,10,13,113,105,188,60,165,68,132,214,120,111,
161,191,155,169,71,38,103,183,21,109,225,146,226,77,204,119,
194,40,140,61,151,52,212,94,118,90,229,232,209,95,202,222,
14,25,216,154,75,187,126,131,190,162,58,85,196,211,92,107,
74,167,82,177,235,180,63,89,141,135,106,81,192,219,158,137,
56,9,24,121,125,84,80,207,87,42,164,98,36,4,91,224,168,41,
159,230,6,3,37,67,201,240,145,2,124,79,69,45,144,149,228,
136,237,30,117,170,178,54,31,39,176,234,193,115,20,184,189,
127,181,134,138,153,53,227,100,213,198,49,27,15,93,205,114,
5,76,179,129,88,182,206,203,142,86,116,173,47,195,215,221,
166,220,64,157,130,48,123,1,57,122,152,218,83,55,143,238,
110,160,66,65,231,16,175,17,73,59,217,163,7,35,150,34,186,
19,11,104,70,46,26,62,171,18,139,23],
\[9,120,18,22,177,12,183,102,231,240,117,52,236,190,108,62,
203,164,36,225,146,189,128,78,219,200,103,66,129,204,98,91,
118,227,178,216,179,169,10,68,147,159,4,82,107,63,139,60,19,
132,130,197,70,181,239,215,105,135,224,205,64,85,56,161,143,
101,150,110,174,199,127,96,32,192,210,209,148,100,228,7,184,
48,14,95,79,71,92,119,136,155,43,69,115,191,156,97,2,144,
198,75,141,39,72,34,123,202,212,41,45,125,111,31,171,238,
234,138,182,61,193,27,53,126,93,196,213,13,172,121,233,40,
188,37,88,17,106,166,145,137,162,3,89,81,8,1,173,220,5,237,
57,201,16,153,30,50,44,26,226,114,232,23,223,152,151,59,230,
28,218,6,94,221,168,80,74,77,175,33,195,211,131,194,67,187,
86,109,157,25,185,154,73,38,83,116,186,99,15,235,113,42,160,
55,167,158,46,47,90,21,229,35,49,170,29,142,51,76,134,214,
207,54,133,104,24,140,176,222,165,11,206,163,122,124,112,180,
208,149,20,217,87,58,84,65]
/*order=2903040=2^10*3^4*5*7*/>
