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Based on the finite-difference time-domain method, we demonstrate multiple enhanced transmission bands through subwavelength compound periodic array of rectangular holes by adjusting the cutoff wavelength of each hole. The results show that the transmission spectrum of this structure is almost a compound of that of the corresponding periodic hole arrays with simple cell, when the holes are arranged appropriately. It is also found that the surface plasmon resonance peak and the localized resonance peak exhibit different behaviors as the symmetry of compound periodic structure varies. The proposed method provides an effective way to achieve enhanced transmission simultaneously at different selected wavelengths in the visible and infrared regions.