/*
www-ATLAS of Group Representations.
2.A6 represented as 10 x 10 matrices over GF(25).
*/

F<w>:=GF(25);

x:=CambridgeMatrix(3,F,10,\[
0,1,0,0,0,0,0,0,0,0,
4,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,
0,0,4,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,1,0,0,
0,0,0,0,4,0,0,0,0,0,
0,0,0,0,0,4,0,0,0,0,
10,0,8,5,0,16,21,14,21,16,
7,24,12,12,19,8,20,20,18,9]);

y:=CambridgeMatrix(3,F,10,\[
14,4,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,
0,23,2,0,16,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,1,
1,23,4,14,0,4,1,0,0,0,
21,11,15,9,23,22,9,22,22,22,
9,10,23,18,5,11,20,8,7,10]);

G<x,y>:=MatrixGroup<10,F|x,y>;
print "Group G is 2.A6 < GL(10,GF(25))";