/*
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",
"00010000000000",
"00100000000000",
"00000010000000",
"61163140000000",
"00001000000000",
"52522051000000",
"00000000000100",
"34520000510200",
"61432050201500",
"00000000100000",
"52614030600110",
"61254030100601"]);

y:=CambridgeMatrix(1,F,14,[
"65000000000000",
"00100000000000",
"00001000000000",
"00000100000000",
"00000001000000",
"00000000100000",
"00000000010000",
"00000000001000",
"00000000000010",
"00000000000001",
"01601006001000",
"46156033665501",
"43553224533402",
"50605524465641"]);

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