Foliations on the projective plane with finite group of symmetries

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