  A radiative model of quark and lepton masses utilizing the binary tetrahedral
($T^{\prime}$) flavor symmetry, or horizontal symmetry, is proposed which
produces the first two generation of quark masses through their interactions
with vector-like quarks that carry charges under an additional $U(1)$. By
softly-breaking the $T^{\prime}$ to a residual $Z_4$ through the vector-like
quark masses, a CKM mixing angle close to the Cabibbo angle is produced. In
order to generate the cobimaximal neutrino oscillation pattern
($\theta_{13}\neq0,\theta_{23}=\pi/4,\delta_{CP}=\pm \pi/2$) and protect the
horizontal symmetry from arbitrary corrections in the lepton sector, there are
automatically two stabilizing symmetries in the dark sector. Several benchmark
cases where the correct relic density is achieved in a multi-component DM
scenario, as well as the potential collider signatures of the vector-like
quarks are discussed.
