On splitting of normalizers of maximal tori in finite groups of Lie type

Let $G$ be a finite group of Lie type, and $T$ some maximal torus of the group $G$. We bring to a close the study of the question of whether there exists a supplement for a torus $T$ in its algebraic normalizer $N(G,T)$. It is proved that any maximal torus of a group $G\in \{G_2(q),{}^2G_2(q),{}^3D_4(q)\}$ has a supplement in its algebraic normalizer. Also we consider the remaining twisted classical groups ${}^2A_n(q)$ and ${}^2D_n(q)$.