/*
www-ATLAS of Group Representations.
U3(5):2 represented as permutations on 126 points.
*/

G<x,y>:=PermutationGroup<126|\[
1,4,6,2,9,3,12,14,5,17,19,7,20,8,23,24,10,27,11,13,32,34,15,16,39,
41,18,44,40,46,45,21,36,22,52,33,53,55,25,29,26,42,58,28,31,30,47,61,63,64,
65,35,37,60,38,70,67,43,72,54,48,75,49,50,51,78,57,79,80,56,82,59,84,85,62,
87,77,66,68,69,92,71,89,73,74,98,76,99,83,101,103,81,105,94,107,96,104,86,88,102,
90,100,91,97,93,113,95,118,119,115,116,114,106,112,110,111,124,108,109,125,123,126,121,117,120,
122]
,\[
2,5,1,7,3,10,13,4,15,18,6,16,8,21,12,9,25,11,28,30,33,14,35,37,40,
17,42,45,19,47,20,48,22,50,41,23,54,24,56,26,36,58,27,51,29,59,31,62,32,44,
34,66,67,38,68,71,39,43,73,46,74,49,69,53,52,77,76,63,55,81,57,83,60,61,70,
64,65,78,88,90,86,72,93,94,96,75,97,100,79,102,80,103,82,106,84,87,85,108,109,89,
111,91,113,92,114,95,116,98,120,99,121,101,104,122,105,123,107,125,119,110,112,115,117,126,124,
118]
>;
print "Group G is U3(5):2 < Sym(126)";