  This model includes a minimal extension of the standard model with $S_3$ and
$Z_2$ symmetries to explain neutrino masses and mixing along with the dark
matter phenomenology. Neutrino phenomenology is explored, consistent with the
$3 \sigma$ observation of oscillation parameters and a nonzero reactor mixing
angle ($\theta_{13}$) is obtained. The $S_3$ singlet Majorana neutrino couples
to the third generation of leptons, gives a correct relic density compatible
with the Planck data. This model does not allow tree level direct detection,
therefore we discuss the loop level effective interaction with the nucleus
mediated by gauge boson. Also the constraints from the lepton flavor violating
rare decay mode is commented.
