/*
www-ATLAS of Group Representations.
2.G2(4).2 represented as 12 x 12 matrices over GF(169).
*/

F<w>:=GF(169);

x:=CambridgeMatrix(3,F,12,\[
113,94,94,19,113,119,138,38,63,0,163,94,
88,94,94,0,144,94,94,163,119,38,19,0,
88,63,163,94,94,138,38,163,38,163,69,144,
119,38,113,119,0,113,144,69,113,69,69,138,
88,113,94,138,38,19,138,44,88,113,44,44,
19,63,69,163,144,163,69,44,94,63,0,163,
113,44,63,63,138,69,94,63,44,63,38,88,
94,63,69,44,163,163,163,88,69,144,119,138,
19,63,163,138,88,94,94,113,119,44,63,144,
0,38,163,63,88,94,119,69,138,88,144,0,
138,163,0,69,88,119,63,0,69,44,144,138,
63,69,19,88,44,44,163,38,0,144,119,38]);

y:=CambridgeMatrix(3,F,12,\[
94,144,144,63,94,138,119,19,0,94,94,94,
19,88,19,119,94,44,119,69,138,0,144,63,
88,163,119,88,38,38,119,88,38,38,94,144,
63,119,88,94,0,38,144,19,38,88,94,94,
88,113,113,94,38,69,163,63,0,69,0,69,
119,88,88,138,38,0,119,119,38,0,44,63,
113,119,38,94,144,0,69,94,163,19,144,69,
138,163,0,19,44,144,163,144,19,88,144,113,
0,119,38,88,119,44,69,113,144,144,0,94,
88,144,144,63,138,88,144,113,44,88,63,88,
38,144,0,94,144,44,63,38,119,69,144,0,
88,88,38,119,0,63,119,119,69,163,144,44]);

G<x,y>:=MatrixGroup<12,F|x,y>;
print "Group G is 2.G2(4).2 < GL(12,GF(169))";