/*
www-ATLAS of Group Representations.
3.U3(8) represented as 3 x 3 matrices over GF(64).
*/

F<w>:=GF(64);

x:=CambridgeMatrix(3,F,3,\[
1,0,0,
0,22,13,
0,57,22]);

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

G<x,y>:=MatrixGroup<3,F|x,y>;
print "Group G is 3.U3(8) < GL(3,GF(64))";