  Let $G$ be a finite group of Lie type and $T$ a maximal torus of $G$. In this
paper we complete the study of the question of the existence of a complement
for the torus $T$ in its algebraic normalizer $N(G,T)$. It is proved that every
maximal torus of the group $G\in\{G_2(q), {}^2G_2(q), {}^3D_4(q)\}$ has a
complement in its algebraic normalizer. The remaining twisted classical groups
${}^2A_n(q)$ and ${}^2D_n(q)$ are also considered.
