  We consider the doublet-triplet fermionic model in the scheme of the
custodial limit when the dark matter (DM) candidate is pure doublet and lies at
the electroweak scale. This scheme, despite being an appealing and promising DM
model, is severely constrained by the interplay between the DM relic density
constraint and the LHC measurement of the Higgs diphoton decay rate. In this
work, the DM relic density is considered to arise from either a nonstandard
cosmology scenario or as a part of a larger sector encompassing other DM
particles, this in order to saturate the observed relic abundance. For these
scenarios we investigate the impact of the new sector in different collider
observables, and study constraints coming from direct detection and indirect
detection of gamma-rays both in the diffuse and linelike spectrum. As a result,
we find that in the nonstandard cosmology scenario most experiments impose, up
to a certain point, restrictions, though large portions of the parameter space
are still viable. For the multicomponent case, only direct detection imposes
constraints.
