A model of quarks with Δ(6N2)Δ(6N2) family symmetry

We propose a first model of quarks based on the discrete family symmetry Δ(6N2)Δ(6N2) in which the Cabibbo angle is correctly determined by a residual Z2×Z2Z2×Z2 subgroup, and the smaller quark mixing angles may be qualitatively understood from the model. The present model of quarks may be regarded as a first step towards formulating a complete model of quarks and leptons based on Δ(6N2)Δ(6N2), in which the lepton mixing matrix is fully determined by a Klein subgroup. For example, the choice N=28N=28 provides an accurate determination of both the reactor angle and the Cabibbo angle.