  We extend the notion of Hitchin component from surface groups to orbifold
groups and prove that this gives new examples of higher Teichm\"{u}ller spaces.
We show that the Hitchin component of an orbifold group is homeomorphic to an
open ball and we compute its dimension explicitly. We then give applications to
the study of the pressure metric, cyclic Higgs bundles, and the deformation
theory of real projective structures on $3$-manifolds.
