Finite groups all of whose maximal subgroups of even order are PRN-groups.

Let G be a finite group. A subgroup H of a group G is called pronormal in G if the subgroups H and H g are conjugate in ⟨ H , H g ⟩ for each g ∈ G . A group G is said to be a PRN-group if every minimal subgroup of G or order 4 is pronormal in G. In this paper, we characterize groups G such that G is a non-PRN-group of even order in which every maximal subgroup of even order is a PRN-group, and come to that such groups are solvable, have orders divisible by at most 3 distinct primes. And some additional structural details are provided. [ABSTRACT FROM AUTHOR]