/*
www-ATLAS of Group Representations.
A10 represented as permutations on 126 points.
*/

G<x,y>:=PermutationGroup<126|\[
1,4,7,6,11,2,8,3,14,19,12,5,24,17,13,28,9,33,21,27,10,35,23,15,40,
43,37,29,16,50,47,18,32,25,38,46,20,22,56,34,41,42,44,26,31,58,45,30,49,48,
51,54,65,74,63,61,57,36,82,85,39,87,78,88,66,53,93,95,96,72,71,99,102,52,60,
92,77,55,83,68,111,84,109,59,75,62,86,89,64,97,91,101,94,67,80,98,114,69,70,121,
76,103,73,104,105,106,81,108,79,123,107,113,124,90,115,100,117,118,119,120,116,122,125,112,110,
126]
,\[
2,5,1,10,6,12,13,15,3,20,4,23,25,7,27,8,31,9,34,36,37,11,18,40,42,
14,46,47,45,16,43,17,53,55,19,57,59,21,22,63,24,49,65,66,26,68,69,28,29,71,
30,32,76,33,77,35,62,80,83,38,54,39,85,41,91,92,44,73,97,48,101,50,51,104,52,
106,107,60,56,110,58,72,113,79,74,61,112,93,67,64,105,116,96,98,102,118,119,114,120,70,
121,86,87,90,75,95,84,78,124,125,82,81,108,88,89,99,94,126,122,115,109,100,103,111,123,
117]
>;
print "Group G is A10 < Sym(126)";