/*
www-ATLAS of Group Representations.
L2(49) represented as permutations on 175 points.
*/

G<x,y>:=PermutationGroup<175|\[
1,4,5,2,3,10,11,12,13,6,7,8,9,22,23,16,24,25,26,27,28,14,15,17,18,
19,20,21,43,44,45,46,47,48,49,50,51,52,53,54,55,56,29,30,31,32,33,34,35,36,
37,38,39,40,41,42,85,86,87,78,88,64,89,62,90,91,71,92,93,94,67,75,95,83,72,
96,84,60,81,97,79,98,74,77,57,58,59,61,63,65,66,68,69,70,73,76,80,82,118,102,
108,100,119,120,110,112,121,101,122,105,123,106,124,125,126,127,128,99,103,104,107,109,111,113,114,
115,116,117,129,143,139,144,145,146,147,148,149,150,131,140,141,151,130,132,133,134,135,136,137,138,
142,165,161,166,155,167,168,169,159,164,153,170,171,160,152,154,156,157,158,162,163,173,172,175,174]
,\[
2,3,1,6,8,7,4,9,5,14,16,18,20,15,10,17,11,19,12,21,13,29,31,33,35,
37,39,41,30,22,32,23,34,24,36,25,38,26,40,27,42,28,57,59,61,63,65,67,69,71,
73,75,77,79,81,83,58,43,60,44,62,45,64,46,66,47,68,48,70,49,72,50,74,51,76,
52,78,53,80,54,82,55,84,56,99,101,103,104,106,108,109,111,90,112,114,87,92,116,100,85,
102,86,96,105,88,107,89,93,110,91,97,113,94,115,95,117,98,129,131,132,134,135,137,139,125,
121,141,119,130,118,128,133,120,126,136,122,138,123,140,124,142,127,151,153,155,157,159,161,149,163,
152,143,154,144,156,145,158,146,160,147,162,148,164,150,166,172,167,170,173,171,168,165,174,169,175]
>;
print "Group G is L2(49) < Sym(175)";