Thanks for any help or comments.

Suppose $G$  is a finite group. Carter subgroup is nilpotent self-normalizing subgroup of $G$. Carter and Vdovin has shown  that solvable groups has carter subgroup and in addition, in every group with carter subgroups, its carter subgroups are conjugate see "Carter subgroup of finite group" by Vdovin. 

My question is about the structure of groups such that its carter subgroup is 2-Sylow subgroup? I mean, I am intersted about any theorem which guide me toward some classification of this type of groups.