The method of complex-coordinate rotation is used to investigate the doubly-excited 1,3P0 autoionization states of He between the N=3 and N=4 thresholds of He+ ions. Resonance energies and total widths for 22 1PO and 26 3Po states are reported in the present work. Lower-lying resonances for all the seven Rydberg series converging on the He+ (N=4) threshold are calculated. Our results are compared with the experimental observations and with other theoretical calculations when available.