/*
www-ATLAS of Group Representations.
2.A8 represented as 16 x 16 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,16,[
"0100000000000000",
"0001000000000000",
"0000010000000000",
"1000000000000000",
"0000000010000000",
"0000000001000000",
"0000000000010000",
"0000000000000100",
"0000000000000001",
"0010000000000000",
"1006533062151561",
"2403162440056136",
"6216360621641156",
"0134165163033350",
"0046440212231120",
"0000100000000000"]);

y:=CambridgeMatrix(1,F,16,[
"0010000000000000",
"0000100000000000",
"0000001000000000",
"0000000100000000",
"0660600000000000",
"0000000000100000",
"0000000000001000",
"0000000000000010",
"6025316144563361",
"3500521203261104",
"4234242162462441",
"5634251565003621",
"6406652015261333",
"6466124501422132",
"1332642615036540",
"4263513352300030"]);

G<x,y>:=MatrixGroup<16,F|x,y>;
print "Group G is 2.A8 < GL(16,GF(7))";