Groups with the Minimal Conditions for Subgroups and for Nonabelian Subgroups

For some very wide classes $\mathfrak{D}$ and $\mathfrak{B}\subset\mathfrak{D}$ of groups, the author proves that an arbitrary (nonabelian) group $G\in \mathfrak{D}$ (respectively $G\in \mathfrak{B}$) satisfies the minimal condition for (nonabelian) subgroups iff it is Chernikov