/*
www-ATLAS of Group Representations.
S8(2) represented as permutations on 120 points.
*/

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