Element structure of projective special linear group of degree three over a finite field

This article describes the element structure of the projective special linear group of degree three over a finite field.

We take $$q$$ as the number of elements in the field and $$p$$ as the underlying prime number, so $$q$$ is a power of $$p$$.

Conjugacy class structure
Here is the summary of formulas for the number of conjugacy classes: