/*
www-ATLAS of Group Representations.
2.S11 represented as 16 x 16 matrices over GF(11).
*/

F:=GF(11);

x:=CambridgeMatrix(3,F,16,\[
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
4,5,0,9,7,1,6,0,4,6,10,7,1,9,7,7,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,3,9,7,8,1,9,6,1,5,0,2,9,4,10,2,
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]);

y:=CambridgeMatrix(3,F,16,\[
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,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
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,
0,10,10,0,10,10,0,0,10,0,0,0,0,0,0,0,
8,2,7,10,8,6,1,10,0,8,10,1,4,0,1,0,
8,6,6,10,4,3,8,3,8,10,0,2,1,5,9,3,
7,2,9,3,6,0,2,10,9,7,6,6,9,9,5,0,
10,8,10,8,4,8,9,2,10,4,3,9,5,1,9,0,
7,4,8,6,5,0,4,7,6,0,10,7,9,9,1,8,
1,10,2,1,10,4,9,5,2,2,4,10,3,8,5,5,
4,0,0,9,4,8,10,3,2,5,7,10,9,6,2,5]);

G<x,y>:=MatrixGroup<16,F|x,y>;
print "Group G is 2.S11 < GL(16,GF(11))";