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Discrete nonabelian gauge symmetries appear to be the most advantageouscandidates for a family symmetry. We present a predictive SO(10) SUSY GUT modelwith $D_3 \times U(1)$ family symmetry (D_3 is the dihedral group of order 6).The hierarchy in fermion masses is generated by the family symmetry breaking$D_3 \times U(1) \to Z_N \to $ nothing. This model fits the low energy data inthe charged fermion sector quite well and naturally provides large angle$\nu_{\mu}$-$\nu_{\tau}$ mixing describing atmospheric neutrino oscillationdata and small angle $\nu_e$-$\nu_s$ mixing consistent with the small mixingangle MSW solution to the solar neutrino data. In addition, the non-abelianfamily symmetry D_3 is sufficient to suppress large flavor violations.Comment: 24 pages, 2 figures, added a footnote and an acknowledgemen

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Fermion masses and neutrino oscillations in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>SO</mml:mi><mml:mo>(</mml:mo><mml:mn>10</mml:mn><mml:mo>)</mml:mo><mml:mn /></mml:math>supersymmetric grand unified theory with<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>D</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mo>×</mml:mo><mml:mi>U</mml:mi><mml:mo>(</mml:mo…

Fermion masses and neutrino oscillations inSO(10)supersymmetric grand unified theory withD3×U(