/*
www-ATLAS of Group Representations.
2.A8 represented as permutations on 240 points.
*/

G<x,y>:=PermutationGroup<240|\[
2,3,1,6,8,10,12,14,16,4,19,21,23,5,26,28,30,32,34,36,7,39,40,42,44,
46,48,9,51,53,55,57,59,11,45,63,65,67,69,13,72,74,76,77,79,15,81,83,85,86,
87,89,17,90,92,93,18,96,98,99,101,88,20,104,106,108,109,111,22,113,115,116,103,24,120,
122,25,125,35,94,129,58,27,133,97,135,29,137,138,139,61,31,142,144,145,82,49,33,149,151,
91,105,153,134,156,37,159,126,38,161,163,118,166,141,168,41,169,170,158,171,164,43,124,174,176,
66,178,180,47,172,184,186,187,64,50,143,62,52,54,183,191,56,193,80,146,95,197,199,60,201,
202,203,73,206,208,102,130,200,207,110,160,198,68,212,185,70,189,71,214,112,75,157,167,123,218,
78,220,221,165,188,177,196,217,215,179,223,84,128,173,225,114,222,136,213,211,229,230,231,224,119,
233,100,204,152,234,235,107,228,195,236,209,121,226,117,131,238,140,237,210,181,127,240,132,148,232,
194,205,155,182,147,162,190,150,227,154,219,175,239,216,192]
,\[
1,4,5,7,9,11,13,15,17,18,20,22,24,25,27,29,31,33,35,37,38,30,41,43,45,
47,49,50,52,54,56,58,60,61,62,64,66,68,70,71,73,75,63,78,80,69,82,84,16,76,
88,8,26,91,74,94,95,97,79,100,102,103,2,105,107,40,110,59,112,114,6,117,118,119,121,
123,124,126,127,128,130,131,132,134,92,108,136,44,106,140,141,133,143,3,146,42,147,148,150,98,
19,152,154,155,157,158,125,160,39,162,164,165,167,86,65,46,115,144,142,172,135,149,173,175,177,
129,179,181,182,183,185,159,188,189,151,32,55,190,99,89,166,192,191,194,195,196,198,10,200,111,
203,204,205,207,83,209,176,168,199,109,81,210,211,170,156,12,174,213,215,216,145,36,217,57,219,
120,72,137,21,201,187,51,222,221,218,202,14,122,224,226,227,178,228,197,186,113,23,87,232,85,
48,229,96,212,169,233,101,231,116,237,93,236,90,223,138,139,239,53,208,184,240,193,220,180,225,
153,230,161,235,163,234,104,67,77,171,34,206,214,28,238]
>;
print "Group G is 2.A8 < Sym(240)";