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To explain quark and lepton masses and mixing angles, one has to extend thestandard model, and the usual practice is to put the quarks and leptons intoirreducible representations of discrete groups. We argue that discrete flavorsymmetries (and their concomitant problems) can be avoided if we extend thegauge group. In the framework of SU(12) we give explicit examples of modelshaving varying degrees of predictability obtained by scanning over groups andrepresentations and identifying cases with operators contributing to mass andmixing matrices that need little fine- tuning of prefactors. Fitting with quarkand lepton masses run to the GUT scale and known mixing angles allows us tomake predictions for the neutrino masses and hierarchy, the octant of theatmospheric mixing angle, leptonic CP violation, Majorana phases, and theeffective mass observed in neutrinoless double beta decay.

Unification of gauge, family, and flavor symmetries illustrated in gauged SU(12) models