  We showcase a computation of the fundamental group of $\mathbb{CP}^2 -
\mathcal{C}$ when $\mathcal{C}$ is a curve admitting a lot of symmetries. In
particular, let $\mathcal{C}$ denote the Fermat line arrangement in
$\mathbb{CP}^2$ defined by the vanishing locus of homogeneous polynomial
$(x^n-y^n)(y^n-z^n)(z^n-x^n)$. In this article, we compute the fundamental
group $\pi_1(\mathbb{CP}^2-\mathcal{C})$ of complement of this line arrangement
in the complex projective plane. We show that this group is semi-direct product
of $G$ and $F_n$, i.e., $\pi_1(\mathbb{CP}^2-\mathcal{C}, \overline{\epsilon})
= G \rtimes F_{n}$, where $G$ and $F_n$ is defined in 4.3, and 1.2
respectively.
