The recent analyses of the world neutrino data, including the T2K and MINOS results, point toward a statistically significant deviation of θ 13 from zero. In this paper we present a SUSY SU(5) model based on the discrete S 4 group which predicts a large $ {\theta_{13}} \sim \mathcal{O}\left( {{\lambda_C}} \right) $ , λ C being the Cabibbo angle. The other mixing angles in the neutrino sector are all compatible with current experimental data. In the quark sector, the entries of the CKM mixing matrix as well as the mass hierarchies in both up and down quark sectors are well reproduced and only a small enhancement is needed to reproduce λ C .