  The classical conservation of the lepton number is an accidental symmetry
present in the Standard Model (SM). Thus, we consider here a scenario where the
SM is extended with a U(1) gauge group, promoting the lepton number to a local
symmetry. The gauge anomaly cancellations necessitate the extension of the
particle spectrum with several beyond the SM (BSM) particle fields. The
extended lepton gauge group breaks around the TeV scale via spontaneous
symmetry breaking, and a $Z_2$ symmetry remains, which ensures the stability of
the light $Z_2$ odd BSM particles. Interestingly, the particle spectrum of the
model has two distinct dark sectors, with one having a Dirac-type DM and the
other one containing a Majorana-type DM, thus resulting in a multipartite dark
matter scenario. We have explored the available parameter space consistent with
the observed dark matter relic density and direct detection measurements for
both of the DM particles. Having a Majorana dark matter, we have also studied
for the gamma line signatures to constrain the parameter space from the
indirect dark matter detection experiments like FermiLAT and CTA.
