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

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