  The group embeddings used in orbifolding the AdS/CFT correspondence to arrive
at quiver gauge field theories are studied for both supersymmetric and
non-supersymmetric cases. For an orbifold $AdS_5 \times S^5/\Gamma$ the
conditions for embeddings of the finite group $\Gamma$ in the $SU(4) \sim O(6)$
isotropy of $S^5$ are stated in the form of consistency rules, both for Abelian
and Non-Abelian $\Gamma$.
