/*
www-ATLAS of Group Representations.
2.A11 represented as 16 x 16 matrices over GF(49).
*/

F<w>:=GF(49);

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

y:=CambridgeMatrix(3,F,16,\[
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,6,6,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
6,43,1,1,7,43,6,44,0,48,13,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
0,12,12,0,44,0,0,6,0,8,43,6,0,0,0,0,
0,7,7,0,6,13,1,1,0,45,43,6,43,6,0,0,
0,6,42,6,7,14,1,42,1,0,37,6,48,0,6,0,
0,44,44,0,0,0,0,6,0,5,13,1,13,1,0,0,
0,44,0,0,0,44,0,7,0,0,13,1,8,0,1,0,
0,42,0,0,42,48,6,7,6,7,8,1,3,1,1,1,
0,12,0,0,0,0,0,42,0,42,48,6,47,6,6,6]);

G<x,y>:=MatrixGroup<16,F|x,y>;
print "Group G is 2.A11 < GL(16,GF(49))";