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

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