/*
www-ATLAS of Group Representations.
U6(2) represented as 22 x 22 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,22,[
"0100000000000000000000",
"1000000000000000000000",
"0000100000000000000000",
"0000001000000000000000",
"0010000000000000000000",
"0000000001000000000000",
"0001000000000000000000",
"0000000000001000000000",
"0000000000000010000000",
"0000010000000000000000",
"0001021302403000000000",
"0044434433044030000000",
"0000000100000000000000",
"3342422322003420000000",
"0000000010000000000000",
"1141421412004014000000",
"3311121432004030400000",
"0001001440004040040000",
"1110120022000020004000",
"2214134233002030000400",
"3323223402004000000040",
"0004034003000000000004"]);

y:=CambridgeMatrix(1,F,22,[
"0010000000000000000000",
"0001000000000000000000",
"0000010000000000000000",
"0000000100000000000000",
"0000000010000000000000",
"0000000000100000000000",
"0000000000010000000000",
"0000000000000100000000",
"0400440040000000000000",
"0011141440440000000000",
"0000000000000001000000",
"0000000000000000100000",
"0033444244020440000000",
"0000000000000000010000",
"0000000000000000001000",
"0000000000000000000100",
"0000000000000000000010",
"0000000000000000000001",
"2141433242014440031123",
"1004100140400001040001",
"3441022342312221140303",
"1440440130000401000401"]);

G<x,y>:=MatrixGroup<22,F|x,y>;
print "Group G is U6(2) < GL(22,GF(5))";