  We construct a large class of conformal interfaces between two-dimensional
c=1 conformal field theories describing compact free bosons and their Z_2
orbifolds. The interfaces are obtained by constructing boundary states in the
corresponding c=2 product theories and applying the unfolding procedure. We
compute the fusion products for all of these defects, and identify the
invertible topological interfaces associated to global symmetries, the
interfaces corresponding to marginal deformations, and the interfaces which map
the untwisted sector of an orbifold to the invariant states of the parent
theory.
