/*
www-ATLAS of Group Representations.
U6(2) represented as 22 x 22 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,22,[
"0100000000000000000000",
"1000000000000000000000",
"0000100000000000000000",
"0000001000000000000000",
"0010000000000000000000",
"0006066000000000000000",
"0001000000000000000000",
"0000000000010000000000",
"0060600060000000000000",
"2220200606060000000000",
"0000000000000010000000",
"0000000100000000000000",
"0000000000000000010000",
"6644404100410640000000",
"0000000000100000000000",
"3302002200520056000000",
"0055505200226020660000",
"0000000000001000000000",
"0043403100412040026000",
"0010100100016000060600",
"1134304500356030060060",
"0010100000000000000006"]);

y:=CambridgeMatrix(1,F,22,[
"0010000000000000000000",
"0001000000000000000000",
"0000010000000000000000",
"0000000100000000000000",
"0000000010000000000000",
"0000000001000000000000",
"0000000000100000000000",
"0000000000001000000000",
"0660660060000000000000",
"0000000000000100000000",
"0000000000000001000000",
"0000000000000000100000",
"0000000000000000001000",
"0000000000000000000100",
"0066000100160066000000",
"0000000000000000000010",
"5461345113444622503330",
"0055666060001000106000",
"6001610610000600001100",
"0000000000000000000001",
"1202640333400143630143",
"1000000000000000000000"]);

G<x,y>:=MatrixGroup<22,F|x,y>;
print "Group G is U6(2) < GL(22,GF(7))";