/*
www-ATLAS of Group Representations.
S6(2) represented as 21 x 21 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,21,[
"010000000000000000000",
"100000000000000000000",
"000010000000000000000",
"000000100000000000000",
"001000000000000000000",
"000000000100000000000",
"000100000000000000000",
"000000000000100000000",
"120101221200100000000",
"000001000000000000000",
"120002020110100000000",
"000000000000000010000",
"000000010000000000000",
"121020000000010000000",
"121021020200101000000",
"121020020002100110000",
"000000000001000000000",
"121020000000000001000",
"120200100000000000100",
"211021010202200010010",
"121021010202200010001"]);

y:=CambridgeMatrix(1,F,21,[
"001000000000000000000",
"000100000000000000000",
"000001000000000000000",
"000000010000000000000",
"000000001000000000000",
"000000000010000000000",
"000000000001000000000",
"000000000000010000000",
"022222002000000000000",
"000000000000001000000",
"000000000000000100000",
"000000000000000001000",
"000000000000000000100",
"000000000000000000010",
"000000000000000000001",
"001211110011000101002",
"120100222111102021000",
"020001022202122021101",
"011111001210100100012",
"122201212022000002011",
"120122200212102121102"]);

G<x,y>:=MatrixGroup<21,F|x,y>;
print "Group G is S6(2) < GL(21,GF(3))";