/*
www-ATLAS of Group Representations.
S14 represented as 12 x 12 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,12,[
"010000000000",
"100000000000",
"161000000000",
"250100000000",
"520010000000",
"610001000000",
"430000100000",
"160000010000",
"250000001000",
"430000000100",
"000000000010",
"160000000001"]);

y:=CambridgeMatrix(1,F,12,[
"001000000000",
"000100000000",
"000010000000",
"000001000000",
"604041000000",
"000000100000",
"000000010000",
"000000001000",
"000000000100",
"000000000010",
"000000000001",
"466216555632"]);

G<x,y>:=MatrixGroup<12,F|x,y>;
print "Group G is S14 < GL(12,GF(7))";