Higher-band self-trapping and oscillation(rotation) of nonlinear quadruple beams in two-dimensional(2D) square photonic lattices are numerically demonstrated.Under appropriate conditions of nonlinearity,a quadruple-like beam can self-trap into localized modes that reside in the second Bragg reflection gap through single-site excitation.By changing the initial orientation of the incident quadruple beam related to the lattices,periodic oscillations of the localized quadruple mode may be obtained.The localized quadruple state becomes a rotating doubly charged optical vortex(DCV) during rotation and should undergo charge-flipping when the rotating direction is reversed.