  We first time show that a common solution to dark matter and the flavor
problem of the standard model can be obtained in the framework of the
$\mathcal{Z}_{\rm N} \times \mathcal{Z}_{\rm M}$ flavor symmetry where the
flavonic Goldstone boson of this flavor symmetry acts as a good dark matter
candidate through the misalignment mechanism. Hierarchical mass pattern of
quarks and charged leptons naturally follows from the discrete symmetry. For
light active neutrinos, we construct the Dirac-type mass matrix which is
preferred to fit the observed neutrino oscillation data with normal hierarchy.
Our model predicts the axion-like photon coupling characteristically different
from the standard QCD axion, and could be probed by the future X-ray or radio
observations.
