/* 
L3(8).2 as 6 x 6 matrices over the field of order 8.
*/
F2:=GF(2);
P<x>:=PolynomialRing(F2);
p:=x^3+x+1;
//Conway Polynomial
F<z>:=ext<F2|p>;

G<x,y>:=MatrixGroup<6,F|
[ 0, 0, 0, z^6, z^5, z^2, 0, 0, 0, z^5, z, z^4, 0, 0, 0, z^2, z^4, z^4, z^6, 1, 
z^5, 0, 0, 0, 1, z^6, z, 0, 0, 0, z^5, z, z, 0, 0, 0 ],

[ z, z^5, 1, 0, 0, 0, z, z, z^5, 0, 0, 0, z^4, 1, 0, 0, 0, 0, 0, 0, 0, z^5, z^2,
z^6, 0, 0, 0, 1, z^4, z^4, 0, 0, 0, 1, z^5, 1 ]>;

c:=x;
d:=y;