/*
www-ATLAS of Group Representations.
L3(5):2 represented as permutations on 186 points.
*/

G<x,y>:=PermutationGroup<186|\[
2,1,5,7,3,10,4,13,15,6,17,19,8,22,9,24,11,27,12,30,32,14,35,16,38,
40,18,43,45,20,48,21,51,34,23,55,57,25,58,26,61,63,28,66,29,69,71,31,74,76,
33,79,80,54,36,84,37,39,89,91,41,72,42,95,97,44,99,101,46,103,47,62,107,49,110,
50,113,115,52,53,119,120,122,56,125,127,128,129,59,118,60,134,106,136,64,114,65,137,67,138,
68,140,70,124,135,93,73,131,112,75,147,109,77,96,78,149,142,90,81,82,145,83,153,104,85,
154,86,87,88,130,108,160,133,92,105,94,98,100,167,102,169,117,171,144,121,158,111,168,116,173,
174,155,123,126,152,175,178,146,179,132,164,180,172,161,181,183,139,148,141,182,143,163,150,151,156,
186,185,157,159,162,165,170,166,184,177,176]
,\[
1,3,6,2,8,4,11,14,5,15,18,7,20,9,23,10,25,12,28,31,13,33,16,36,39,
17,41,44,19,46,21,49,52,22,53,56,24,38,26,59,62,27,64,29,67,70,30,72,75,32,
77,34,81,35,82,37,85,87,90,40,92,42,94,96,43,98,100,45,102,47,104,106,48,108,50,
111,114,51,116,118,54,121,55,123,126,57,95,58,130,60,132,135,61,63,88,65,120,66,99,68,
115,69,141,143,71,73,138,145,74,146,125,76,113,78,148,150,79,80,151,97,83,133,149,84,112,
86,134,156,158,159,89,122,91,161,93,162,164,166,101,167,170,103,105,107,109,110,172,139,124,117,
175,119,129,147,127,177,128,173,131,180,155,182,136,179,137,144,184,140,185,142,171,176,153,183,152,
154,157,178,165,186,160,163,169,168,174,181]
>;
print "Group G is L3(5):2 < Sym(186)";