/*
www-ATLAS of Group Representations.
3.U3(11):2 represented as 6 x 6 matrices over GF(11).
*/

F:=GF(11);

x:=CambridgeMatrix(3,F,6,\[
10,0,0,0,0,0,
0,0,1,0,0,0,
0,1,0,0,0,0,
0,0,0,0,1,0,
0,0,0,1,0,0,
9,10,1,9,2,1]);

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

G<x,y>:=MatrixGroup<6,F|x,y>;
print "Group G is 3.U3(11):2 < GL(6,GF(11))";