/*
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,
14,3,7,8,15,12,
1,5,0,0,6,10]);

y:=CambridgeMatrix(3,F,6,\[
5,4,0,0,0,0,
0,0,0,1,0,0,
0,0,0,0,1,0,
10,22,4,3,22,14,
19,9,17,23,0,5,
19,18,22,22,14,23]);

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