  The purpose of the present paper is to investigate a hypergroup associated
with irreducible characters of a compact hypergroup $H$ and a closed
subhypergroup $H_0$ of $H$ with $|H/H_0|< +\infty$. The convolution of this
hypergroup is introduced by inducing irreducible characters of $H_0$ to $H$ and
by restricting irreducible characters of $H$ to $H_0$. The method of proof
relies on the notion of an induced character and an admissible hypergroup pair.
