/*
www-ATLAS of Group Representations.
6.A6 represented as 6 x 6 matrices over GF(25).
*/

F<w>:=GF(25);

x:=CambridgeMatrix(3,F,6,\[
0,1,0,0,0,0,
4,0,0,0,0,0,
0,0,0,1,0,0,
0,0,4,0,0,0,
15,9,19,0,17,22,
5,12,21,3,20,13]);

y:=CambridgeMatrix(3,F,6,\[
23,0,0,0,0,0,
0,0,1,0,0,0,
0,0,0,0,1,0,
0,0,0,0,0,1,
10,14,3,0,7,0,
0,21,19,4,21,23]);

G<x,y>:=MatrixGroup<6,F|x,y>;
print "Group G is 6.A6 < GL(6,GF(25))";