K3 surfaces whose finite automorphism groups properly contain a maximal symplectic automorphism group were classified by Brandhorst and Hashimoto. In this talk, we construct a K3 surface admitting an action of S4×S4​ whose symplectic subgroup contains A_{4,4}. We characterize this surface and establish its isomorphism with the Schur quartic surface. Furthermore, we determine the automorphism groups preserving the relevant polarizations on each of these two models.