/*
www-ATLAS of Group Representations.
L2(17) represented as 7 x 7 matrices over GF(17).
*/

F:=GF(17);

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

y:=CambridgeMatrix(3,F,7,\[
0,0,1,0,0,0,0,
0,16,16,0,0,0,0,
1,2,1,0,0,0,0,
0,0,0,0,1,0,0,
0,0,0,0,0,0,1,
6,12,0,4,11,1,2,
0,0,0,1,0,0,0]);

G<x,y>:=MatrixGroup<7,F|x,y>;
print "Group G is L2(17) < GL(7,GF(17))";