There's children of the Big Three, naturally; those were unavoidable from the start. *sigh* I wonder, how does one miss the fact that the oath-breaking is a supremely bad plan?
But, beside the expected, there's also: children of Kronos, children who are 2/3 god, children of random other gods, probably both real and invented, Egyptian gods... oh, and several people who don't seem to be able to count, but that's nothing new.
It makes me sad. The books are excellent, IMO. Why must their subject matter be butchered?
...never mind. I remember. Because it's there, and there's a movie of it. Though, from the looks of things, the fandom was in a bad way even before the movie hit.