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We propose an $S_{4}$ flavor model based on supersymmetric (SUSY) SU(5) GUT.The first and third generations of \textbf{10} dimensional representations inSU(5) are all assigned to be $1_{1}$ of $S_{4}$. The second generation of\textbf{10} is to be $1_{2}$ of $S_{4}$. Right-handed neutrinos of singlet\textbf{1} and three generations of $\bar{\textbf{5}}$ are all assigned to be$3_{1}$ of $S_{4}$. The VEVs of two sets of flavon fields are allowed amoderate hierarchy, that is $\langle\Phi^{\nu}\rangle \sim\lambda_{c}\langle\Phi^{e}\rangle$. Tri-Bimaximal (TBM) mixing can be producedat both leading order (LO) and next to next to leading order (NNLO) in neutrinosector. All the masses of up-type quarks are obtained at LO. We also get thebottom-tau unification $m_{\tau}=m_{b}$ and the popular Georgi-Jarlskogrelation $m_{\mu}=3m_{s}$ as well as a new mass relation$m_{e}=\frac{8}{27}m_{d}$ in which the novel Clebsch-Gordan (CG) factor arisesfrom the adjoint field $H_{24}$. The GUT relation leads to a sizable mixingangle $\theta^{e}_{12} \sim \theta_{c}$ and the correct quark mixing matrix$V_{CKM}$ can also be realised in the model. The resulting CKM-like mixingmatrix of charged leptons modifies the vanishing $\theta^{\nu}_{13}$ in TBMmixing to a large $\theta^{PMNS}_{13}\simeq\theta_{c}/\sqrt{2}$, in excellentagreement with experimental results. A Dirac CP violation phase$\phi_{12}\simeq\pm\pi/2$ is required to make the deviation from$\theta^{\nu}_{12}$ small. We also present some phenomenological numericalresults predicted by the model.

SUSY SU(5) $\times S_{4}$ GUT Flavor Model for Fermion Masses and Mixings with Adjoint, Large $\theta^{PMNS}_{13}$