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

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