  The Non-Abelian finite group PSL_2(7) is the only simple subgroup of SU(3)
with a complex three-dimensional irreducible representation. It has two maximal
subgroups, S_4 which, along with its own A_4 subgroup, has been successfully
applied in numerous models of flavor, as well as the 21 element Frobenius group
Z_7 x Z_3, which has gained much less attention. We show that it can also be
used to generate tri-bimaximal mixing in the neutrino sector, while allowing
for quark and charged lepton hierarchies.
