/*
www-ATLAS of Group Representations.
L5(2) represented as permutations on 155 points.
*/

G<x,y>:=PermutationGroup<155|\[
1,3,2,6,8,4,7,5,9,10,15,12,17,19,11,22,13,18,14,20,21,16,23,30,25,
26,31,34,29,24,27,32,38,28,35,42,41,33,46,40,37,36,47,51,45,39,43,54,55,57,
44,60,62,48,49,66,50,69,70,52,61,53,75,76,78,56,81,83,58,59,84,72,86,88,63,
64,89,65,94,96,67,82,68,71,85,73,103,74,77,90,106,92,93,79,95,80,97,98,114,112,
113,118,87,104,105,91,107,108,109,110,111,100,101,99,125,130,121,102,119,128,117,122,123,124,115,
137,136,120,140,116,143,134,135,132,133,127,126,147,148,129,149,150,131,144,145,151,138,139,141,142,
146,152,153,154,155]
,\[
2,4,5,7,9,10,11,12,13,14,1,16,18,20,21,23,24,3,25,26,27,28,29,31,32,
6,33,35,8,36,37,38,39,40,41,43,44,45,15,47,48,49,50,17,19,52,53,22,56,58,
59,61,63,64,65,67,68,30,71,72,73,74,34,77,79,80,82,84,85,54,86,76,87,89,90,
91,92,93,95,97,98,42,99,100,101,102,46,96,104,105,107,70,108,109,110,111,112,113,115,116,
117,51,119,120,121,122,60,123,124,55,125,126,127,128,129,57,131,114,132,62,133,134,135,136,137,
66,138,139,141,142,69,144,75,145,78,146,88,81,149,130,83,150,103,143,147,94,106,140,118,148,
152,153,154,155,151]
>;
print "Group G is L5(2) < Sym(155)";