  For a connected, noncompact matrix simple Lie group $G$ so that a maximal
compact subgroup $K$ has three dimensional simple ideal, in this note we
analyze the admissibility of the restriction of irreducible square integrable
representations for the ambient group when they are restricted to certain
subgroups that contains the three dimensional ideal. In this setting we provide
a formula for the multiplicity of the irreducible factors. Also, for general
$G$ such that $G/K$ is an Hermitian $G$-manifold we give a necessary and
sufficient condition so that a square integrable representations of the ambient
group is admissible over the semisimple factor of $K.$
