  Let $\mathcal{F}$ denote a singular holomorphic foliation on $\mathbb{P}^2$
having a finite automorphism group $\mbox{aut}(\mathcal{F})$. Fixed the degree
of $\mathcal{F}$, we determine the maximal value that
$|\mbox{aut}(\mathcal{F})|$ can take and explicitly exhibit all the foliations
attaining this maximal value. Furthermore, we classify the foliations with
large but finite automorphism group.
