/*
www-ATLAS of Group Representations.
U5(3) represented as 24 x 24 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,24,[
"010000000000000000000000",
"220000000000000000000000",
"000010000000000000000000",
"000000100000000000000000",
"002020000000000000000000",
"211221100000000000000000",
"000000000010000000000000",
"000000000000100000000000",
"122210121000100000000000",
"122010010100200000000000",
"000100000000000000000000",
"000000000000001000000000",
"000100120010200000000000",
"122010210012211000000000",
"000200200022002000000000",
"210200120000100100000000",
"002010010000200010000000",
"000000000000000000001000",
"000200120000100000100000",
"001120200000000000010000",
"000000000000000002002000",
"000200120000100000000100",
"210210121200010011110101",
"122020201211212012112122"]);

y:=CambridgeMatrix(1,F,24,[
"001000000000000000000000",
"000100000000000000000000",
"000001000000000000000000",
"000000010000000000000000",
"000000001000000000000000",
"000000000100000000000000",
"000000000001000000000000",
"101021011200000000000000",
"022222002000000000000000",
"202002000200000000000000",
"000000000000010000000000",
"000000000000000100000000",
"200220201001100000000000",
"000000000000000010000000",
"000000000000000001000000",
"000000000000000000100000",
"000000000000000000010000",
"000000000000000000000100",
"000000000000000000000010",
"221020021221120120120010",
"000000000000000000000001",
"212010020020022222202020",
"000000100000000000000000",
"000012222221220011001220"]);

G<x,y>:=MatrixGroup<24,F|x,y>;
print "Group G is U5(3) < GL(24,GF(3))";