Threefold extremal contractions of type (IIA), II

Let $(X,C)$ be a germ of a threefold $X$ with terminal singularities along an irreducible reduced complete curve $C$ with a contraction $f: (X, C)\to (Z, o)$suchthat$C=f^{-1}(o)_{red}$and$-K_X$isample\mathrm{.}Assumethat$(X, C)$ contains a point of type (IIA). This paper continues our study of such germs containing a point of type (IIA) started in our previous paper arXiv:1601.07671.