The non-Abelian finite group
is the only
simple subgroup of
SU(3) with a complex three-dimensional irreducible representation. It has two maximal subgroups,
which, along with its own
subgroup, has been successfully applied in numerous models of flavor, as well as the 21 element Frobenius group
, 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.