/*
www-ATLAS of Group Representations.
S8(2) represented as permutations on 136 points.
*/

G<x,y>:=PermutationGroup<136|\[
2,1,5,7,3,6,4,12,14,16,11,8,20,9,23,10,26,27,29,13,21,22,15,24,25,
17,18,38,19,30,42,44,46,48,49,36,37,28,54,52,56,31,59,32,45,33,47,34,35,55,
62,40,68,39,50,41,57,58,43,75,61,51,77,70,80,66,83,53,86,64,71,89,91,74,60,
94,63,78,92,65,81,82,67,99,85,69,87,103,72,90,73,79,108,76,110,111,113,115,84,100,
118,102,88,119,105,109,107,93,106,95,96,125,97,126,98,116,117,101,104,120,128,129,123,124,112,
114,127,121,122,130,131,132,133,134,135,136]
,\[
3,4,6,8,9,10,11,13,15,17,18,19,21,22,24,25,1,28,30,31,2,32,33,34,35,
36,37,39,40,41,43,45,47,5,50,51,52,53,7,55,57,58,60,16,61,62,63,64,65,44,
66,67,69,70,71,72,12,73,74,76,14,49,78,79,81,82,84,85,87,88,75,90,92,93,29,
20,95,23,96,97,46,26,98,27,100,101,102,83,104,105,106,107,109,94,91,112,114,54,116,117,
99,38,80,120,121,122,42,103,123,124,68,48,115,108,125,127,111,126,128,129,56,77,59,119,130,
131,86,132,133,134,135,110,89,113,136,118]
>;
print "Group G is S8(2) < Sym(136)";