/*
www-ATLAS of Group Representations.
6.A7 represented as 6 x 6 matrices over GF(25).
*/

F<w>:=GF(25);

x:=CambridgeMatrix(3,F,6,\[
0,1,0,0,0,0,
0,0,1,0,0,0,
1,0,0,0,0,0,
0,0,0,0,0,1,
0,10,5,24,24,11,
12,18,22,14,6,6]);

y:=CambridgeMatrix(3,F,6,\[
5,4,0,0,0,0,
0,0,0,1,0,0,
0,0,0,0,1,0,
18,16,8,13,19,10,
2,10,9,2,6,22,
0,24,16,19,5,7]);

G<x,y>:=MatrixGroup<6,F|x,y>;
print "Group G is 6.A7 < GL(6,GF(25))";