Solution
= Solution
A finite discrete <group> has trivial <identity component>, so its only <torus> is $T=\{1\}$. Thus $N_G(T)=G$ and, under the definition $N_G(T)/T$,
$$
\boxed{W=G}.
$$
The alternative quotient by the <centralizer> would give a different answer for a disconnected <group>; it is not the convention used here.