  We perform a finite group analysis on the quark mass matrices. We argue that
the dominant terms should be proportional to class operators of the group and
that symmetry breaking to split the mass spectrum and simultaneous
diagonalizability to suppress flavor changing neutral currents can be
accomplished at this point. The natural setting is a multi-scalar model and the
scalar doublets can have masses of the weak scale without any parameter tuning.
When we specialize to $S_3$ as the group of choice, we arrive at the results
that the dominant mass terms are $\lhook $democratic$\rhook $ and that the
ratios of light masses and the Cabbibo angle $\cong ({m_d\over m_s})^{1\over
2}$ are all given by group parameters in the breaking of $S_3$ to $S_2$. A
large mass expansion is then performed and a generalized Wolfenstein
parameterization is given. Further breaking by way of introducing heavy-light
transitions in the down-type mass matrix is here related to the heavy-light
Cabbibo-Kobayashi-Maskawa elements.
