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We explain all features of lepton and quark mixing in a scenario with theflavor symmetry Delta (384) and a CP symmetry, where these are broken inseveral steps. The residual symmetry in the neutrino and up quark sector is aKlein group and CP, while a Z_3 and a Z_{16} symmetry are preserved amongcharged leptons and down quarks, respectively. If the Klein group in theneutrino sector is further broken down to a single Z_2 symmetry, we obtainpredictions for all lepton mixing parameters in terms of one real quantity,whose size is determined by the value of the reactor mixing angle. The Diracand Majorana phases are fixed, in particular sin (delta) = -0.936. A sum rule,relating these CP phases and the reactor and atmospheric mixing angles,theta_{13} and theta_{23}, is given. In the quark sector, we have for theCabibbo angle theta_C= sin (pi/16) = 0.195 after the first step of symmetrybreaking. This is brought into full accordance with experimental data with thesecond step of symmetry breaking, where either the Z_{16} group is broken to aZ_8 symmetry in the down quark sector or the Klein group to one Z_2 symmetryonly among up quarks. The other two quark mixing angles are generated in thethird and last symmetry breaking step, when the residual symmetries in the upand/or down quark sector are further broken. If this step occurs among both upand down quarks, the amount of CP violation in the quark sector is determinedby the lepton sector and explaining the current neutrino oscillation dataentails that the Jarlskog invariant J_{CP}^q is in very good agreement withexperimental findings. Lastly, a sum rule is derived that contains the CP phasedelta^q and theta_C of the quark sector and the lepton mixing parameterstheta_{13}, theta_{23} and delta.

Lepton and Quark Mixing from Stepwise Breaking of Flavor and CP