/*
www-ATLAS of Group Representations.
2.L2(17) represented as 6 x 6 matrices over GF(17).
*/

F:=GF(17);

x:=CambridgeMatrix(3,F,6,\[
0,1,0,0,0,0,
16,0,0,0,0,0,
0,0,0,1,0,0,
0,0,16,0,0,0,
12,14,7,11,7,9,
13,1,9,2,2,10]);

y:=CambridgeMatrix(3,F,6,\[
0,0,1,0,0,0,
16,1,1,0,0,0,
0,0,0,0,1,0,
0,0,0,0,0,1,
1,0,0,0,0,0,
0,16,16,16,16,16]);

G<x,y>:=MatrixGroup<6,F|x,y>;
print "Group G is 2.L2(17) < GL(6,GF(17))";