/*
www-ATLAS of Group Representations.
U5(2) represented as permutations on 176 points.
*/

G<x,y>:=PermutationGroup<176|\[
2,1,5,4,3,6,9,11,7,14,8,12,13,10,18,20,17,15,24,16,27,29,23,19,33,
35,21,28,22,36,31,41,25,40,26,30,46,48,39,34,32,42,43,54,52,37,47,38,59,50,
61,45,56,44,65,53,67,69,49,60,51,73,63,64,55,77,57,79,58,81,83,85,62,87,89,
90,66,92,68,80,70,96,71,98,72,100,74,103,75,76,106,78,93,107,95,82,112,84,99,86,
101,102,88,118,105,91,94,122,124,126,127,97,130,132,134,116,117,104,137,138,121,108,123,109,144,
110,111,145,129,113,131,114,133,115,152,136,119,120,151,140,156,142,158,125,128,161,148,147,149,164,
139,135,153,154,163,141,169,143,159,160,146,162,155,150,165,166,167,168,157,170,174,172,173,171,175,
176]
,\[
3,4,6,5,7,8,10,12,13,2,15,1,16,17,19,21,22,23,25,26,28,30,31,32,34,
36,37,9,38,39,40,42,43,11,44,45,47,49,14,50,51,52,53,55,56,29,57,58,60,18,
62,63,64,35,66,20,68,70,71,46,72,74,24,75,76,54,78,27,80,82,84,86,69,88,33,
91,48,93,65,94,95,77,97,99,85,101,102,41,104,105,107,108,109,110,106,111,113,114,115,89,
116,117,118,119,120,121,79,123,125,73,128,129,131,133,59,61,135,136,126,139,140,141,142,143,67,
100,112,146,147,148,149,150,151,87,134,153,92,154,155,81,157,137,145,159,160,162,163,144,83,165,
158,166,167,168,90,169,152,98,170,164,171,96,127,124,172,122,103,161,173,130,138,175,174,176,132,
156]
>;
print "Group G is U5(2) < Sym(176)";