  Let $(X, \mathcal{F})$ be a foliated surface and $G$ a finite group of
automorphisms of $X$ that preserves $\mathcal{F}$. We investigate invariant
loci for $G$ and obtain upper bounds for its order that depends polynomially on
the Chern numbers of $X$ and $\mathcal{F}$. As a consequence, we estimate the
order of the automorphism group of some foliations under mild restrictions. We
obtain an optimal bound for foliations on the projective plane which is
attained by the automorphism groups of the Jouanolou's foliations.
