/*
www-ATLAS of Group Representations.
L4(4) represented as permutations on 85 points.
*/

G<x,y>:=PermutationGroup<85|\[
47,66,25,76,16,35,71,59,10,9,32,65,78,52,45,5,38,85,19,56,26,44,50,41,3,
21,82,28,57,73,34,11,60,31,6,79,63,17,69,74,24,77,68,22,15,48,1,46,49,23,
67,14,75,54,84,20,29,62,8,33,80,58,37,72,12,2,51,43,39,81,7,64,30,40,53,
4,42,13,36,61,70,27,83,55,18]
,\[
60,55,5,69,62,26,43,77,7,49,35,12,70,84,14,32,40,21,79,50,25,80,52,18,24,
45,74,27,8,17,33,83,38,34,11,47,73,41,16,82,31,9,42,29,75,72,36,48,10,22,
81,19,51,67,65,54,4,59,58,1,61,63,3,57,66,2,68,56,64,13,71,46,37,76,6,
28,44,53,23,20,78,30,39,85,15]
>;
print "Group G is L4(4) < Sym(85)";