Rationally connected threefolds with nef and bad anticanonical divisor, II

Let $X$ be a smooth complex projective rationally connected threefold with $-K_X$ nef and not semi-ample. In our previous work, we classified all such threefolds when $\mathrm{\mid }-K_X\mathrm{\mid }$ has no fixed divisor. In this paper, we continue our classification when $\mathrm{\mid }-K_X\mathrm{\mid }$ has a non-zero fixed divisor.