  In these proceedings, we present a study of a combined singlet--doublet
fermion and triplet scalar model for dark matter (DM). Together, these models
form a simple extension of the Standard Model (SM) that can account for DM and
explain the existence of neutrino masses, which are generated radiatively.
However, this also implies the existence of lepton flavour violating (LFV)
processes. In addition, this particular model allows for gauge coupling
unification. The new fields are odd under a new $\mathbb{Z}_2$ symmetry to
stabilise the DM candidate. We analyse the DM, neutrino mass and LFV aspects,
exploring the viable parameter space of the model. This is done using a
numerical random scan imposing successively the neutrino mass and mixing, relic
density, Higgs mass, direct detection, collider and LFV constraints. We find
that DM in this model is fermionic for masses below about 1 TeV and scalar
above. We observe a high degree of complementarity between direct detection and
LFV experiments, which should soon allow to fully probe the fermionic DM sector
and at least partially the scalar DM sector.
