  Present data on neutrino masses and mixing favor the highly symmetric
tribimaximal neutrino mixing matrix which suggests an underlying flavor
symmetry. A systematic study of non-abelian finite groups of order $g \leq 31$
reveals that tribimaximal mixing can be derived not only from the well known
flavor symmetry $T \equiv A_4$, the tetrahedral group, but also by using the
alternative flavor symmetry X(24) $\equiv SL_2(F_3) \equiv Q_4 \tilde{\times}
Z_3$. X(24) does not contain the tetrahedral group as a subgroup, and has the
advantage over it as a flavor symmetry that it can not only underwrite
bitrimaximal mixing for neutrinos, equally as well, but also provide a first
step to understanding the quark mass hierarchy.
