/*
www-ATLAS of Group Representations.
S6(2) represented as permutations on 126 points.
*/

G<x,y>:=PermutationGroup<126|\[
2,1,7,6,10,4,3,15,12,5,20,9,18,24,8,21,22,13,28,11,16,17,27,14,29,
33,23,19,25,36,34,38,26,31,43,30,42,32,50,52,46,37,35,58,60,41,63,56,57,39,
59,40,70,62,73,48,49,44,51,45,78,54,47,69,74,75,83,77,64,53,79,81,55,65,66,
88,68,61,71,86,72,92,67,96,98,80,101,76,105,106,107,82,102,103,104,84,114,85,116,117,
87,93,94,95,89,90,91,118,119,120,121,122,113,97,124,99,100,108,109,110,111,112,123,115,126,
125]
,\[
3,5,8,1,11,2,13,16,4,18,21,6,23,7,26,17,9,27,10,30,22,12,20,31,14,
29,15,34,19,25,37,24,40,42,28,45,47,48,32,53,33,55,56,35,61,36,51,64,38,66,
39,68,71,41,59,69,43,75,44,77,79,46,81,60,49,78,50,74,52,85,72,54,86,57,70,
58,65,90,80,62,91,63,94,67,99,100,73,103,76,97,108,109,82,111,83,112,84,95,89,118,
119,87,121,88,122,104,92,110,116,93,125,107,96,123,98,113,101,120,114,102,126,117,105,106,115,
124]
>;
print "Group G is S6(2) < Sym(126)";