We study the relation between accretion, black hole mass and jet power in AGN, by using a large group of blazars detected by the Fermi Large Area Telescope and radio galaxies. Our main results are as follows. (i) The jet power of FSRQs and FRII-HEG depends on the black hole mass, which suggests that the FSRQs and FRII-HEG are in Radiation-Pressure Dominated regime. The jet power of BL Lacs and
... [Show full abstract] FRI-LEG depends on the accretion, which suggests that the BL Lacs and FRI-LEG are in the Gas-Pressure Dominated regime. (ii) We find that most of FSRQs and BL Lacs have , which suggests that the Blandford-Znajek mechanism is insufficient to explain the jet power of these objects. (iii) The FSRQs are roughly separated from BL Lacs by the Ledlow-Owen's dividing line in the plane, which supports the unified scheme of AGN. (iv) The FSRQs and BL Lacs have a clear division at , and the distribution of Eddington ratios of BL Lacs and FSRQs exhibits a bimodal nature, which imply that the accretion mode of FSRQs may be different from that of BL Lacs. (v) We find a significant correlation between broad line luminosity and jet power, which supports a direct tight connection between jet power and accretion.