Linear representation theory of projective general linear group of degree two over a finite field

This article describes the linear representation theory of the projective general linear group of degree two over a finite field. The order (size) of the field is $$q$$, and the characteristic prime is $$p$$. $$q$$ is a power of $$p$$. The group is denoted $$PGL(2,q)$$ or $$PGL_2(q)$$.

See also the linear representation theory for: special linear group, projective special linear group, and general linear group.