Which Catholic doctrines are infallible?

I know that the Pope can speak infallibly (*ex cathedra*), and that this has officially been done once, as well as three times before Papal infallibility was formally declared. I would assume that any doctrine he talks about or mentions would be infallible, at least with regards to the bits spoken while in *ex cathedra* mode. Additionally, however, I can't immediately think of a reason why *ex cathedra* statements would be the only ones to result in infallible doctrines. Thus, my question is: which doctrines of the Roman Catholic church are infallible? If none, many, or all of Catholic Church doctrines are infallible, then say so. In the case of *many*, a broad classification would be appreciated. If there is a small number of them, then a list would be greatly appreciated.