  We discuss a one-dimensional fermionic model with a generalized
$\mathbb{Z}_{N}$ even multiplet pairing extending Kitaev $\mathbb{Z}_{2}$
chain. The system shares many features with models believed to host localized
edge parafermions, the most prominent being a similar bosonized Hamiltonian and
a $\mathbb{Z}_{N}$ symmetry enforcing an $N$-fold degenerate ground state
robust to certain disorder. Interestingly, we show that the system supports a
pair of parafermions but they are non-local instead of being boundary
operators. As a result, the degeneracy of the ground state is only partly
topological and coexists with spontaneous symmetry breaking by a (two-particle)
pairing field. Each symmetry-breaking sector is shown to possess a pair of
Majorana edge modes encoding the topological twofold degeneracy. Surrounded by
two band insulators, the model exhibits for $N=4$ the dual of an $8 \pi$
fractional Josephson effect highlighting the presence of parafermions.
