  Bestvina, Feighn and Handel proved that every subgroup of the outer
automorphism group, $\textrm{Out}(F_n)$, of the free group of rank $n$ is
either virtually finitely generated abelian or contains a nonabelian free
group. In this note we consider the more general situation of the outer
automorphism group $\textrm{Out}(G)$ of a finitely generated free-by-finite
group $G$. We show that $\textrm{Out}(G)$ is translation discrete and that
every subgroup of $\textrm{Out}(G)$ is either virtually finitely generated
abelian or contains a nonabelian free group.
