Finite groups with decomposable cofactors of maximal subgroups

A finite group with a nilpotent $\pi$-Hall subgroup and $\pi$-decomposable cofactors of maximal subgroups is studied. It is established that the quotient of this group by the Fitting subgroup is $\pi$-decomposable, which implies that a finite group with nilpotent cofactors of maximal subgroups is metanilpotent.