  We construct a low-scale seesaw model to generate the masses of active
neutrinos based on $S_4$ flavor symmetry supplemented by the $Z_2 \times Z_3
\times Z_4 \times Z_{14}\times U(1)_L$ group, capable of reproducing the low
energy Standard model (SM) fermion flavor data. The masses of the SM fermions
and the fermionic mixings parameters are generated from a Froggatt-Nielsen
mechanism after the spontaneous breaking of the
  $S_4\times Z_2 \times Z_3 \times Z_4 \times Z_{14}\times U(1)_L$ group. The
obtained values for the physical observables of the quark and lepton sectors
are in good agreement with the most recent experimental data. The leptonic
Dirac CP violating phase $\de _{CP}$ is predicted to be $259.579^\circ$ and the
predictions for the absolute neutrino masses in the model can also saturate the
recent constraints.
