/*
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,
0,0,0,0,1,0,
0,1,17,13,11,4,
0,0,4,0,0,0,
4,13,13,7,2,17]);

y:=CambridgeMatrix(3,F,6,\[
0,0,1,0,0,0,
0,0,0,1,0,0,
0,0,0,0,0,1,
2,20,13,10,18,2,
11,24,17,0,0,5,
15,1,21,14,17,22]);

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