/*
www-ATLAS of Group Representations.
2.L2(17) represented as 4 x 4 matrices over GF(17).
*/

F:=GF(17);

x:=CambridgeMatrix(3,F,4,\[
0,1,0,0,
16,0,0,0,
0,0,0,1,
0,0,16,0]);

y:=CambridgeMatrix(3,F,4,\[
14,14,0,0,
0,0,1,0,
2,8,3,0,
0,16,1,1]);

G<x,y>:=MatrixGroup<4,F|x,y>;
print "Group G is 2.L2(17) < GL(4,GF(17))";