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

This article describes the linear representation theory of the 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 $$p$$.

See also the linear representation theories of: special linear group of degree two, projective general linear group of degree two, and projective special linear group of degree two.