/*
www-ATLAS of Group Representations.
L3(4) represented as permutations on 120 points.
*/

G<x,y>:=PermutationGroup<120|\[
1,4,6,2,9,3,11,13,5,16,7,12,8,21,22,10,23,25,26,28,14,15,17,33,18,
19,38,20,41,42,44,45,24,48,50,51,53,27,56,58,29,30,61,31,32,65,67,34,69,35,
36,72,37,75,77,39,79,40,59,81,43,84,85,87,46,76,47,91,49,82,71,52,73,96,54,
66,55,101,57,103,60,70,89,62,63,105,64,95,83,94,68,110,111,90,88,74,97,102,99,114,
78,98,80,109,86,116,117,118,104,92,93,113,112,100,115,106,107,108,120,119]
,\[
2,5,1,7,3,10,12,4,14,6,17,8,19,16,9,15,24,11,27,13,29,30,21,18,34,
36,20,39,32,43,22,23,46,49,25,52,26,54,57,28,58,44,31,62,63,66,33,68,35,70,
50,37,73,76,38,78,40,80,41,42,82,60,86,45,88,47,84,48,92,71,51,81,95,53,97,
55,99,56,91,59,104,105,61,106,100,64,107,108,65,67,109,103,69,72,74,87,113,75,85,77,
115,79,93,94,83,90,112,89,102,101,117,96,98,110,114,119,111,116,120,118]
>;
print "Group G is L3(4) < Sym(120)";