/*
www-ATLAS of Group Representations.
3^(3+2+6+6):(L3(3) x SD16) represented as permutations on 108 points.
*/

G<x,y>:=PermutationGroup<108|\[
2,1,5,7,3,10,4,13,15,6,18,20,8,22,9,24,17,11,28,12,31,14,34,16,36,
37,39,19,41,43,21,46,48,23,51,25,26,53,27,40,29,57,30,59,61,32,47,33,66,55,
35,52,38,71,50,73,42,68,44,60,45,62,80,82,84,49,87,58,90,92,54,94,56,96,91,
98,77,99,85,63,88,64,83,65,79,95,67,81,104,69,75,70,93,72,86,74,102,76,78,106,
108,97,103,89,105,100,107,101]
,\[
3,4,6,8,9,11,12,14,16,17,19,21,5,2,23,25,26,27,29,30,32,33,35,20,18,
38,40,22,42,44,45,47,49,50,34,52,41,10,54,55,56,58,1,60,62,63,64,65,59,67,
68,69,70,28,72,74,75,76,77,37,78,79,81,83,85,86,88,89,91,93,57,95,66,46,97,
99,36,82,31,92,24,100,101,102,94,103,104,53,105,84,39,80,98,48,106,90,7,107,108,61,
71,96,73,87,51,13,15,43]
>;
print "Group G is 3^(3+2+6+6):(L3(3) x SD16) < Sym(108)";