/*
www-ATLAS of Group Representations.
U4(2) represented as 25 x 25 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,25,[
"0100000000000000000000000",
"1000000000000000000000000",
"0000100000000000000000000",
"0000001000000000000000000",
"0010000000000000000000000",
"0022222000000000000000000",
"0001000000000000000000000",
"0000000001000000000000000",
"0011101121000000000000000",
"0000000100000000000000000",
"0000000000000100000000000",
"0000000000120100000000000",
"0000000000000000100000000",
"0000000000100000000000000",
"0000000000000000001000000",
"0000000000000022002000000",
"0000000000001000000000000",
"0000000000000000000000100",
"0000000000000010000000000",
"1021010220122021000112000",
"1212020110211012000111000",
"2011022211210022201120000",
"0000000000000000010000000",
"1020012122121001221212220",
"0022202101100100000000002"]);

y:=CambridgeMatrix(1,F,25,[
"0010000000000000000000000",
"0001000000000000000000000",
"0000010000000000000000000",
"0222000000000000000000000",
"0000000100000000000000000",
"1102010000000000000000000",
"0000000010000000000000000",
"0000000000100000000000000",
"0000000000010000000000000",
"0000000000001000000000000",
"0000000000000010000000000",
"0000000000000001000000000",
"2012121211200012100000000",
"0000000000000000010000000",
"0000000000000000000100000",
"0000000000000000000010000",
"0000000000000000000001000",
"0000000000000000000000010",
"0122010120120200000110000",
"0000100000000000000000000",
"0000001000000000000000000",
"2012202110210201010212120",
"0000000000000000000000001",
"0011212012111121010102221",
"0102002111112010212101002"]);

G<x,y>:=MatrixGroup<25,F|x,y>;
print "Group G is U4(2) < GL(25,GF(3))";