/*
www-ATLAS of Group Representations.
S6(2) represented as 27 x 27 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,27,[
"010000000000000000000000000",
"100000000000000000000000000",
"000010000000000000000000000",
"000000100000000000000000000",
"001000000000000000000000000",
"000000000100000000000000000",
"000100000000000000000000000",
"000000000000100000000000000",
"000000000000001000000000000",
"000001000000000000000000000",
"212010011010202000000000000",
"121122220101100000000000000",
"000000010000000000000000000",
"001020010000210000000000000",
"000000001000000000000000000",
"121122201100002100000000000",
"210101200200000010000000000",
"001020010000200001000000000",
"121121212200201000100000000",
"120102202100001000010000000",
"000202100100000000001000000",
"210101200200000000000100000",
"001020000000000000000010000",
"212112222100101000000001000",
"212211110200200000000000100",
"212111202200001000000000010",
"000101211200202000000000001"]);

y:=CambridgeMatrix(1,F,27,[
"001000000000000000000000000",
"000100000000000000000000000",
"000001000000000000000000000",
"000000010000000000000000000",
"000000001000000000000000000",
"000000000010000000000000000",
"000000000001000000000000000",
"000000000000010000000000000",
"020022002000000000000000000",
"000000000000000100000000000",
"000000000000000010000000000",
"000000000000000001000000000",
"000000000000000000100000000",
"000000000000000000010000000",
"000000000000000000001000000",
"000000000000000000000100000",
"000000000000000000000010000",
"000000000000000000000001000",
"010011001210120011010200000",
"000000000000000000000000100",
"000000000000000000000000010",
"000000000000000000000000001",
"100210012020000010020000100",
"222020201121221011021012022",
"122022011000020010000020100",
"212221000112100021010222001",
"202121101122200110211111020"]);

G<x,y>:=MatrixGroup<27,F|x,y>;
print "Group G is S6(2) < GL(27,GF(3))";