/*
www-ATLAS of Group Representations.
U6(2):S3 represented as 22 x 22 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,22,[
"0100000000000000000000",
"1000000000000000000000",
"0001000000000000000000",
"0010000000000000000000",
"0000001000000000000000",
"0000000010000000000000",
"0000100000000000000000",
"0000000000010000000000",
"0000010000000000000000",
"0000000000000100000000",
"0000000000000001000000",
"0000000100000000000000",
"1400342210031000000000",
"0000000001000000000000",
"3223233120140014000000",
"0000000000100000000000",
"0023441111340402100000",
"2323322232230303010000",
"2323223431210403001000",
"2300431424210103000100",
"4100000304020100000010",
"1432040113040200000001"]);

y:=CambridgeMatrix(1,F,22,[
"0010000000000000000000",
"0440000000000000000000",
"0000100000000000000000",
"0000010000000000000000",
"0000000100000000000000",
"0000000001000000000000",
"0000000000100000000000",
"1140200200000000000000",
"0000000000001000000000",
"0000000000000010000000",
"0000000000000000100000",
"0000000000000000010000",
"0000000000000000001000",
"0000000000000000000100",
"0000000000000000000010",
"0000000000000000000001",
"3331433040111124020220",
"4430333004023324020331",
"1433033023302021212113",
"2433233043302413032234",
"1033320130232310144404",
"2244424032042421043412"]);

G<x,y>:=MatrixGroup<22,F|x,y>;
print "Group G is U6(2):S3 < GL(22,GF(5))";