  We explore the phenomenology of the Georgi-Machacek model extended with two
Higgs doublets and vector fermion doublets invariant under $SU(2)_L \times
U(1)_Y\times \mathcal {Z}_4 \times \mathcal {Z}_2$. The $\mathcal {Z}_4$
symmetry is broken spontaneously while the imposed $\mathcal {Z}_2$ symmetry
forbids triplet fields to generate any vacuum expectation value and leading to
an inert dark sector providing a viable candidate for dark matter and generate
neutrino mass radiatively. Another interesting feature of the model is
leptogenesis arising from decay of vector-like fermions. A detailed study of
the model is pursued in search for available parameter space consistent with
the theoretical and experimental observations for dark matter, neutrino
physics, flavor physics, matter-antimatter asymmetry in the Universe.
