/*
www-ATLAS of Group Representations.
3.S7 represented as 12 x 12 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,12,[
"010000000000",
"100000000000",
"000100000000",
"001000000000",
"000000100000",
"000000001000",
"000010000000",
"000000000001",
"000001000000",
"001161601060",
"001161601600",
"000000010000"]);

y:=CambridgeMatrix(1,F,12,[
"001000000000",
"066000000000",
"000010000000",
"000001000000",
"000000010000",
"000000000100",
"000000000010",
"255411450333",
"006606100006",
"441432455624",
"441432566024",
"616335253602"]);

G<x,y>:=MatrixGroup<12,F|x,y>;
print "Group G is 3.S7 < GL(12,GF(7))";