/*
www-ATLAS of Group Representations.
2.L2(17) represented as 8 x 8 matrices over GF(17).
*/

F:=GF(17);

x:=CambridgeMatrix(3,F,8,\[
0,1,0,0,0,0,0,0,
16,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,
0,0,16,0,0,0,0,0,
0,0,0,0,0,1,0,0,
0,0,0,0,16,0,0,0,
3,9,1,9,5,8,16,2,
6,3,5,4,15,10,16,1]);

y:=CambridgeMatrix(3,F,8,\[
0,16,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,
16,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,
0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,1,
0,0,0,1,0,0,0,0,
14,3,3,5,5,16,5,16]);

G<x,y>:=MatrixGroup<8,F|x,y>;
print "Group G is 2.L2(17) < GL(8,GF(17))";