/*
www-ATLAS of Group Representations.
S8(2) represented as permutations on 272 points.
*/

G<x,y>:=PermutationGroup<272|\[
1,4,6,2,10,3,7,8,14,5,18,20,13,9,16,15,17,11,25,12,30,22,23,24,19,
26,27,28,36,21,40,41,42,43,44,29,37,47,39,31,32,33,34,35,60,62,38,48,59,66,
68,70,72,54,75,77,57,80,49,45,85,46,88,89,84,50,67,51,96,52,99,53,73,101,55,
104,56,107,108,58,111,112,97,65,61,86,118,63,64,124,125,126,127,94,114,69,83,98,71,136,
74,102,103,76,105,106,78,79,149,110,81,82,154,95,115,135,117,87,119,159,121,161,123,90,91,
92,93,133,168,164,144,171,128,139,116,100,176,178,134,140,141,181,143,131,151,146,185,187,109,191,
145,152,190,113,193,194,195,197,120,160,122,162,163,130,165,166,167,129,169,172,132,170,173,174,175,
137,205,138,213,184,142,214,215,180,147,217,148,210,189,153,150,222,155,156,157,196,158,198,229,220,
230,232,224,233,177,234,207,208,238,188,240,212,179,182,183,216,186,246,219,200,221,192,223,203,225,
226,250,228,199,201,231,202,204,206,239,236,237,209,235,211,241,242,243,244,245,218,247,260,249,227,
251,261,253,254,262,256,257,263,265,248,252,255,258,264,259,266,267,268,269,270,272,271]
,\[
2,5,1,8,7,11,3,13,4,16,19,6,15,22,9,24,10,26,21,28,12,31,14,25,17,
33,18,35,20,38,32,23,34,27,37,45,29,48,30,50,52,54,56,58,61,36,64,49,39,67,
40,71,41,74,42,78,43,81,44,83,63,86,46,90,47,92,69,94,51,97,73,93,53,76,102,
55,105,79,57,109,82,59,113,60,115,117,62,120,122,91,65,100,66,128,68,130,132,70,134,72,
137,139,75,141,143,77,145,147,150,80,111,152,114,84,155,85,119,157,87,124,88,162,89,160,164,
166,127,129,95,169,96,133,98,172,99,174,177,101,140,103,180,104,144,106,183,107,186,108,189,151,
110,181,112,178,156,116,196,118,199,121,197,163,123,202,125,204,126,206,170,131,208,173,135,210,136,
187,179,212,138,182,192,142,184,146,154,188,200,148,218,149,220,153,223,225,227,198,228,158,176,159,
161,203,165,205,167,235,168,237,171,211,175,216,234,226,243,185,245,219,190,195,191,247,248,193,242,
194,221,231,222,229,201,244,240,253,236,207,239,217,209,255,213,214,251,215,257,258,250,249,224,230,
232,233,256,238,260,241,254,264,246,252,267,269,271,266,268,259,272,261,263,262,270,265]
>;
print "Group G is S8(2) < Sym(272)";