  We propose a model based on the $SU(5)$ grand unification with an extra
$A_{4}\otimes Z_{2}\otimes Z_{2}^{\prime }\otimes Z_{2}^{\prime \prime}\otimes
U\left( 1\right) _{f}$ flavor symmetry, which accounts for the pattern of the
SM fermion masses and mixings. The observed hierarchy of charged fermion masses
and quark mixing matrix elements arises from a generalized Froggatt-Nielsen
mechanism triggered by a scalar $\mathbf{24}$ representation of $SU(5)$ charged
under the global $U(1)_{f}$ and acquiring a VEV at the GUT scale. The light
neutrino masses are generated via a radiative seesaw mechanism with a single
heavy Majorana neutrino and neutral scalars running in the loops. The model
predictions for both quark and lepton sectors are in good agreement with the
experimental data. The model predicts an effective Majorana neutrino mass,
relevant for neutrinoless double beta decay, with values $m_{\beta \beta }=$ 4
and 50 meV for the normal and the inverted neutrino spectrum, respectively. The
model also features a suppression of CP violation in neutrino oscillations, a
low scale for the heavy Majorana neutrino (few TeV) and, due to the unbroken
$Z_{2}$ symmetry, a natural dark matter candidate.
