/*
www-ATLAS of Group Representations.
U3(11) represented as 8 x 8 matrices over GF(11).
*/

F:=GF(11);

x:=CambridgeMatrix(3,F,8,\[
0,1,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,
0,0,1,0,0,0,0,0,
0,0,0,0,0,1,0,0,
0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,1,
0,0,0,0,0,0,1,0]);

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

G<x,y>:=MatrixGroup<8,F|x,y>;
print "Group G is U3(11) < GL(8,GF(11))";