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We consider a class of models of neutrino mixing with $S_4$ lepton flavoursymmetry combined with a generalised CP symmetry, which are broken to residual$Z_2$ and $Z_2 \times H^\nu_{\rm CP}$ symmetries in the charged lepton andneutrino sectors, respectively, $H^\nu_{\rm CP}$ being a remnant CP symmetry ofthe neutrino Majorana mass term. In this set-up the neutrino mixing angles andCP violation (CPV) phases of the neutrino mixing matrix depend on three realparameters - two angles and a phase. We classify all phenomenologically viablemixing patterns and derive predictions for the Dirac and Majorana CPV phases.Further, we use the results obtained on the neutrino mixing angles and leptonicCPV phases to derive predictions for the effective Majorana mass inneutrinoless double beta decay.

Neutrino Mixing and Leptonic CP Violation from $S_4$ Flavour and Generalised CP Symmetries