/*
www-ATLAS of Group Representations.
U6(2):S3 represented as 21 x 21 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,21,[
"010000000000000000000",
"100000000000000000000",
"000100000000000000000",
"001000000000000000000",
"000000100000000000000",
"120001000000000000000",
"000010000000000000000",
"000000000010000000000",
"000000000000100000000",
"000000000000001000000",
"000000010000000000000",
"001220122011100000000",
"000000001000000000000",
"001220100200011000000",
"000000000100000000000",
"000020122010100100000",
"212011211121120101111",
"121111202201022122111",
"120020111020200000100",
"212001011121120121121",
"000020110220001000001"]);

y:=CambridgeMatrix(1,F,21,[
"120000000000000000000",
"001000000000000000000",
"000010000000000000000",
"000001000000000000000",
"000000010000000000000",
"000000001000000000000",
"000000000100000000000",
"000000000001000000000",
"000000000000010000000",
"000000000000000100000",
"000000000000000010000",
"022020020002000000000",
"000000000000000001000",
"000000000000000000100",
"000000000000000000010",
"000000000000000000001",
"021201100222222221111",
"001022221201210202200",
"010112001001020000100",
"021002022001022000020",
"022210212000000200200"]);

G<x,y>:=MatrixGroup<21,F|x,y>;
print "Group G is U6(2):S3 < GL(21,GF(3))";