  Hybrid photonic-plasmonic nanostructures allow one to engineer coupling of
quantum emitters and cavity modes accounting for the direct coherent and
environment mediated dissipative pathways. Using generalized plasmonic Dicke
model, we explore the non-equilibrium phase diagram with respect to these
interactions. The analysis shows that their interplay results in the extension
of the superradiant and regular lasing states to the dissipative coupling
regime and an emergent lasing phase without population inversion having
boundary with the superradiant and normal states. Calculated photon emission
spectra are demonstrated to carry distinct signatures of these phases.
