/*
www-ATLAS of Group Representations.
S7 represented as 14 x 14 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,14,[
"01000000000000",
"10000000000000",
"00001000000000",
"00000010000000",
"00100000000000",
"00000000100000",
"00010000000000",
"00000000001000",
"00000100000000",
"34364113614000",
"00000001000000",
"00661114603100",
"34542632105010",
"52166113604001"]);

y:=CambridgeMatrix(1,F,14,[
"00100000000000",
"00010000000000",
"00000100000000",
"06660000000000",
"00000001000000",
"10500200000000",
"00000000010000",
"00000000000100",
"00000000000010",
"00000000000001",
"62323616640204",
"61324150435423",
"15336531000264",
"36243216666453"]);

G<x,y>:=MatrixGroup<14,F|x,y>;
print "Group G is S7 < GL(14,GF(7))";