We present a new class of dark matter (DM) models wherein the Standard Model (SM) is extended with a new πβ’πβ’(2)D dark gauge sector. In this framework, the stability of DM is provided by the conservation of a πβ‘(1) global symmetry which, upon appropriate charge assignments for the πβ’πβ’(2)D multiplets, effectively leads to a β€2 symmetry subgroup. The origin of the global πβ‘(1) symmetry which ensures the stability of DM can be justified in the form of a dark electroweak (EW) sector or through an underlying composite structure. The key ingredient of the model is a vectorlike (VL) fermion doublet of πβ’πβ’(2)D, the members of which are singlets of the SM EW gauge group, which mediate the interactions between the dark sector and the SM, via new Yukawa interactions. This class of models, labeled as fermion portal vector DM (FPVDM), allows multiple realizations, depending on the properties of the VL partner and the scalar potential. After spontaneous breaking of the πβ’πβ’(2)D symmetry via a new scalar doublet, the ensuing massive vector bosons with nonzero dark isospin are DM candidates. The new class of FPVDM models suggested here has numerous phenomenological implications for collider and noncollider studies. As a practical example, we discuss here in detail a realization involving a VL top partner assuming no mixing between the two physical scalars of the theory, the SM Higgs boson and its counterpart in the dark sector. We, thus, provide bounds on this setup from both collider and astroparticle observables.