Lepton mixing predictions from Δ(6n2) family symmetry

We obtain predictions of lepton mixing parameters for direct models based on Δ(6n2) family symmetry groups for arbitrarily large n in which the full Klein symmetry is identified as a subgroup of the family symmetry. After reviewing and developing the group theory associated with Δ(6n2), we find many new candidates for large n able to yield reactor angle predictions within 3σ of recent global fits. We show that such Δ(6n2) models with Majorana neutrinos predict trimaximal mixing with reactor angle θ13 fixed up to a discrete choice, an oscillation phase of either zero or π and the atmospheric angle sum rules θ23=45°∓θ13/2, respectively, which are consistent with recent global fits and will be tested in the near future.