/*
www-ATLAS of Group Representations.
A11 represented as permutations on 165 points.
*/

G<x,y>:=PermutationGroup<165|\[
1,4,7,6,11,2,8,3,17,20,13,24,5,10,30,15,18,9,35,14,40,42,39,26,46,
12,22,23,21,16,53,31,56,33,36,19,63,38,28,29,68,27,72,74,71,47,25,44,45,43,
41,52,32,86,54,34,89,57,87,92,59,60,64,37,65,66,67,51,103,70,49,50,107,48,110,
112,109,76,77,75,73,69,83,84,85,55,61,88,58,125,90,62,128,93,126,129,95,96,99,100,
101,102,82,104,105,106,81,108,79,80,146,78,148,139,113,114,111,118,119,120,121,122,123,124,91,
97,127,94,98,157,130,132,133,134,135,136,137,138,116,140,141,142,143,144,145,117,147,115,149,150,
151,152,153,154,155,156,131,158,159,160,161,162,163,164,165]
,\[
2,5,1,10,12,14,4,6,3,21,22,25,27,29,7,8,23,28,9,38,41,43,11,44,37,
48,50,13,51,39,15,16,17,18,59,61,19,65,20,66,69,70,73,75,24,76,78,80,26,81,
82,30,84,31,32,87,33,34,45,35,49,36,95,97,99,100,40,101,54,104,42,105,90,108,111,
113,46,115,47,117,91,55,52,71,53,120,67,56,123,57,58,126,60,62,114,63,116,64,118,132,
133,68,135,137,138,72,140,142,74,144,93,147,130,77,131,79,94,83,85,143,86,88,139,89,151,
134,92,154,112,96,98,122,153,102,158,103,119,150,106,160,107,149,109,162,110,163,159,161,121,124,
165,125,127,148,128,129,145,156,136,155,141,152,164,146,157]
>;
print "Group G is A11 < Sym(165)";