The class $mathcal{MN}$ of groups in which all maximal subgroups are normal

We investigate the class $mathcal{MN}$ of groups with the property that all maximal subgroups are normal. The class $mathcal{MN}$ appeared in the framework of the study of potential counter-examples to the Andrews-Curtis conjecture. In this note we give various structural properties of groups in $mathcal{MN}$ and present examples of groups in $mathcal{MN}$ and not in $mathcal{MN}$.