  We perform a detailed analysis of dark matter signals of supersymmetric
models containing an extra $U(1)^\prime$ gauge group. We investigate scenarios
in which either the right sneutrino or the lightest neutralino are
phenomenologically acceptable dark matter candidates and we explore the
parameter spaces of different supersymmetric realisations featuring an extra
$U(1)^\prime$. We impose consistency with low energy observables, with known
mass limits for the superpartners and $Z^\prime$ bosons, as well as with Higgs
boson signal strengths, and we moreover verify that predictions for the
anomalous magnetic moment of the muon agree with the experimental value and
require that the dark matter candidate satisfies the observed relic density and
direct and indirect dark matter detection constraints. For the case where the
sneutrino is the dark matter candidate, we find distinguishing characteristics
among different $U(1)^\prime$ mixing angles. If the neutralino is the lightest
supersymmetric particle, its mass is heavier than that of the light sneutrino
in scenarios where the latter is a dark matter candidate, the parameter space
is less restricted and differentiation between models is more difficult. We
finally comment on the possible collider tests of these models.
