/*
www-ATLAS of Group Representations.
2.L3(4) represented as permutations on 112 points.
*/

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