/*
www-ATLAS of Group Representations.
U6(2):S3 represented as 22 x 22 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,22,[
"0100000000000000000000",
"1000000000000000000000",
"0001000000000000000000",
"0010000000000000000000",
"0000001000000000000000",
"0000000010000000000000",
"0000100000000000000000",
"0000000000010000000000",
"0000010000000000000000",
"3443601201050000000000",
"0000000000000010000000",
"0000000100000000000000",
"0000000000000000010000",
"4334245230353140040000",
"0000000000100000000000",
"1643661610511021060000",
"4361611260253050140000",
"0000000000001000000000",
"6161324150361040061000",
"0052245030404030030100",
"0016403600012000050010",
"4300050120266050010001"]);

y:=CambridgeMatrix(1,F,22,[
"0010000000000000000000",
"0660000000000000000000",
"0000100000000000000000",
"0000010000000000000000",
"0000000100000000000000",
"0000000001000000000000",
"0000000000100000000000",
"1640400200000000000000",
"0000000000001000000000",
"0000000000000100000000",
"0000000000000001000000",
"0000000000000000100000",
"0000000000000000001000",
"0000000000000000000100",
"0000000000000000000010",
"0000000000000000000001",
"5505533430645244151533",
"1046002514110153325615",
"1222431655222334526141",
"0001060001000600000100",
"0553462354423126520432",
"1063225004552142255336"]);

G<x,y>:=MatrixGroup<22,F|x,y>;
print "Group G is U6(2):S3 < GL(22,GF(7))";