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We report a high-peak-power, high-repetition-rate diode-side-pumped Nd:YAG Q-switched intracavity optical parametric oscillator (IOPO) at 1.57 microns with a type-II non-critically phase-matched x-cut KTP crystal. The average power of 1.15 W at 1.57 microns is obtained at 4.3-kHz repetition rate. The peak power of the pulses amounts to 33.4 kW with 8-ns duration. The average conversion efficiency from Q-switched 1.064-micron-wavelength input power to OPO signal output power is up to 10.5%.