/*
www-ATLAS of Group Representations.
U5(3) represented as 5 x 5 matrices over GF(9).
*/

F<w>:=GF(9);

x:=CambridgeMatrix(1,F,5,[
"10000",
"01000",
"00100",
"00010",
"40041"]);

y:=CambridgeMatrix(1,F,5,[
"01000",
"00100",
"00010",
"00001",
"10000"]);

G<x,y>:=MatrixGroup<5,F|x,y>;
print "Group G is U5(3) < GL(5,GF(9))";