/*
www-ATLAS of Group Representations.
S6(3) represented as 13 x 13 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,13,[
"0100000000000",
"1000000000000",
"0040600000000",
"0014626000000",
"0010300000000",
"0000000043000",
"0001613016000",
"0000020056206",
"0000030042000",
"0000010042000",
"0000000140106",
"0000000210465",
"0000000140205"]);

y:=CambridgeMatrix(1,F,13,[
"2040000000000",
"0204000000000",
"6125530000000",
"5544611100000",
"3311636530000",
"2331403511200",
"4060261560640",
"5145621501061",
"1652363150531",
"3213432520202",
"2534433632454",
"1155060126014",
"6020100142011"]);

G<x,y>:=MatrixGroup<13,F|x,y>;
print "Group G is S6(3) < GL(13,GF(7))";