Structure of finite groups, in which any pronormal subgroup is either normal or abnormal

A subgroup $H$ of a group $G$ is said to be abnormal in $G$ if, for each element $g \in G$, we have $g \in {<}H, H^g{>}$. A subgroup $H$ of a group $G$ is said to be pronormal in $G$ if, for each element $g \in G$, the subgroups $H$ and $H^g$ are conjugate in ${<}H, H^g{>}$. We describe all finite groups, each pronormal subgroup in which is either normal or abnormal.