  Given a group $G$, let us connect two non-identity elements by an edge if and
only if one is a power of another. This gives a graph structure on $G$ minus
identity, called the reduced power graph. In this paper, we shall find the
exact number of connected components and the exact diameter of each component
for the reduced power graphs of $\mathrm{PGL}_3(\mathbb{F}_q)$ for all prime
power $q$.
