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

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