/*
www-ATLAS of Group Representations.
U5(2) represented as permutations on 165 points.
*/

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