Cyclic coset orbifolds

We apply the new orbifold duality transformations to discuss the special ca se of cyclic coset orbifolds in further detail. We focus in particular on t he case of the interacting cyclic coset orbifolds, whose untwisted sectors are Z(lambda)(permutation)-invariant g/h coset constructions which are not lambda copies of coset constructions. Because lambda copies are not involve d, the action of Z(lambda)(permutation) in the interacting cyclic coset orb ifolds can be quite intricate. The stress tensors and ground state conforma l weights of all the sectors of a large class of these orbifolds are given explicitly and special emphasis is placed on the twisted h subalgebras whic h are generated by the twisted (0, 0) operators of these orbifolds. We also discuss the systematics of twisted (0,0) operators in general coset orbifo lds.