/*
www-ATLAS of Group Representations.
6.L3(4):2a represented as 6 x 6 matrices over GF(25).
*/

F<w>:=GF(25);

x:=CambridgeMatrix(3,F,6,\[
0,1,0,0,0,0,
1,0,0,0,0,0,
0,0,0,1,0,0,
0,0,1,0,0,0,
4,6,1,13,21,2,
20,19,13,21,16,9]);

y:=CambridgeMatrix(3,F,6,\[
0,0,1,0,0,0,
1,4,4,0,0,0,
0,0,0,0,1,0,
0,0,0,0,0,1,
1,0,4,0,1,0,
0,22,22,4,0,0]);

G<x,y>:=MatrixGroup<6,F|x,y>;
print "Group G is 6.L3(4):2a < GL(6,GF(25))";