  If a family symmetry exists for the quarks and leptons, the Higgs sector is
expected to be enlarged to be able to support the transformation properties of
this symmetry. There are however three possible generic ways (at tree level) of
hiding this symmetry in the context of the Standard Model with just one Higgs
doublet. All three mechanisms have their natural realizations in the
unification symmetry E_6 and one in SO(10). An interesting example based on
SO(10) X A_4 for the neutrino mass matrix is discussed.
