Masses of Quarks and Leptons and Mixing Angles in Anti-GUT Theory

We describe a fit to the charged fermion mass hierarchy using the chiral quantum numbers of the maximal anti-grand unification group $SMG^3 \times U(1)_f$,where$SMG \equiv SU(3) \times SU(2) \times U(1)$. This fit suggests a set of Higgs fields responsible for the breakdown, near the Planck scale, of $SM{G}^3\times U(1{)}_f$ to the Standard Model group.