I know we generally accord respect to our dead, which includes not mangling their bodies. On the other hand, obviously saving lives is more important than, well, almost anything, including respect for the dead. What are the prevalent halachic views on postmortem organ donation? Does its permissibility perhaps depend on what organ is being donated? (I can imagine that donation of a heart is likely to save a life; an eye, not so much.) Does it depend on whether the likely recipient is Jewish (and hence, perhaps, on whether the donor is in Israel)? What other factors go into the p'sakim (halachic rulings)?
(Just to clarify, this question is not about the brain-death debate. This question assumes a fully dead person.)