  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
