  In this paper, we study non-zero component graph $\Gamma(\mathbb{V})$ on a
finite dimensional vector space $\mathbb{V}$ over a finite field $\mathbb{F}$.
We show that the graph is Hamiltonian and not Eulerian. We also characterize
the maximal cliques in $\Gamma(\mathbb{V})$ and show that there exists two
classes of maximal cliques in $\Gamma(\mathbb{V})$. We also find the exact
clique number of $\Gamma(\mathbb{V})$ for some particular cases. Moreover, we
provide some results on size, edge-connectivity and chromatic number of
$\Gamma(\mathbb{V})$.

General Mathematics