  The fermion masses and mixing angles are fitted using only 3 free parameters
in a non-supersymmetric extension of the Standard Model, with new approximately
conserved chiral gauge quantum numbers broken by a set of Higgs fields. The
fundamental mass scale of this anti-grand unification model is given by the
Planck mass. We also calculate neutrino mixing angles and masses, as well as CP
violation from the CKM matrix. A good fit is obtained to the observed fermion
masses but our predictions of the neutrino masses are too small to lead to any
observable neutrino oscillation effects claimed today, without introducing
another mass scale. We also give some arguments in support of this type of
model based on the observed fermion masses.
