Stability of dark matter from the dihedral D4 group

We study a model based on the dihedral group D4 in which the dark matter is stabilized by means of a remnant Z2 symmetry of the same spontaneously broken non-abelian group. In the lepton sector the model is compatible with normal hierarchy only and predicts a vanishing reactor mixing angle. Since the lightest neutrino is massless, we also have a simple prediction for the effective mass in terms of the solar angle of the order of meV. There also exists a large portion of the model parameter space where the upper bounds on lepton flavor violating processes are not violated. We incorporate quarks in the same scheme finding that a description of the Cabibbo angle is possible and that semileptonic K and D decays mediated by flavour changing neutral currents are under control.