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In [1] it was shown how the flavor symmetry A4 (or S4) can arise if the threefermion generations are taken to live on the fixed points of a specific2-dimensional orbifold. The flavor symmetry is a remnant of the 6-dimensionalPoincare symmetry, after it is broken down to the 4-dimensional Poincaresymmetry through compactification via orbifolding. This raises the question ifthere are further non-abelian discrete symmetries that can arise in a similarsetup. To this end, we generalize the discussion by considering all possible2-dimensional orbifolds and the flavor symmetries that arise from them. Thesymmetries we obtain from these orbifolds are, in addition to S4 and A4, thegroups D3, D4 and D6 \simeq D3 x Z2 which are all popular groups for flavoredmodel building.

Non-Abelian Discrete Flavor Symmetries from T^2/Z_N Orbifolds