/*
www-ATLAS of Group Representations.
L4(5) represented as permutations on 156 points.
*/

G<x,y>:=PermutationGroup<156|\[
57,106,126,11,45,133,151,27,144,152,4,38,115,66,89,85,17,119,54,74,36,68,127,98,25,
47,8,80,108,92,140,131,101,67,35,21,124,12,105,59,44,112,63,41,5,88,26,146,148,132,
154,120,53,19,84,76,1,91,40,116,62,61,43,104,125,14,34,22,69,129,100,83,73,20,117,
56,134,156,147,28,143,121,72,55,16,86,122,46,15,103,58,30,153,142,149,136,130,24,99,71,
33,114,90,64,39,2,155,29,150,145,135,42,123,102,13,60,75,118,18,52,82,87,113,37,65,
3,23,128,70,97,32,50,6,77,111,96,137,139,138,31,141,94,81,9,110,48,79,49,95,109,
7,10,93,51,107,78]
,\[
130,52,152,78,1,112,76,8,35,146,111,20,38,149,70,123,138,57,14,46,28,86,98,87,94,
22,49,64,119,135,105,17,39,69,109,150,85,100,95,29,90,140,59,44,124,12,74,7,145,114,
34,54,155,2,129,79,117,50,136,66,23,120,63,21,47,132,118,24,51,133,62,121,134,65,25,
48,31,102,104,106,103,92,101,84,88,26,68,37,16,147,110,144,10,75,33,116,45,61,141,13,
122,4,153,56,77,128,72,36,9,143,113,137,11,58,42,125,18,151,40,71,107,83,89,97,96,
30,53,80,154,5,131,60,15,139,126,43,6,32,73,115,142,99,91,82,27,93,41,148,19,108,
67,156,81,55,127,3]
>;
print "Group G is L4(5) < Sym(156)";