/*
www-ATLAS of Group Representations.
S6(3):2 represented as 13 x 13 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,13,[
"0001000000000",
"1201000000000",
"0000000000100",
"1000000000000",
"2012010202020",
"1202100201010",
"2012112202020",
"0020000200200",
"1120000021110",
"2212210111200",
"0010000000000",
"1002120220010",
"1120000001112"]);

y:=CambridgeMatrix(1,F,13,[
"2002020202211",
"1210211211112",
"2210010122021",
"2220121220211",
"2211011000222",
"0010001020112",
"1200001112222",
"1200020121002",
"1200202120112",
"0210212100122",
"0201220111020",
"1111100202101",
"1021111021021"]);

G<x,y>:=MatrixGroup<13,F|x,y>;
print "Group G is S6(3):2 < GL(13,GF(3))";