  In this work one shows that given a connected $C^\infty$-manifold $M$ of
dimension $\geq 2$ and a finite subgroup $G\subset \Diff(M)$, there exists a
complete vector field $X$ on $M$ such that its automorphism group equals
$G\times \mathbb{R}$ where the factor $\mathbb{R}$ comes from the flow of $X$.
