Titanic: Tragedy on top of Tragedy

Out of 1496 victims, only 336 bodies were recovered from the water. Only 11 of those recovered were f emale. Why is that?
One might figure right up front that it is because the boats were filled with women and children first but that's not what I've found out.

65 children died 61 children were saved More men survived than women. (Of course there were a lot more men on board than women.)
More than twice as many second class men survived as first class children.

Is it just the odds that more men were aboard Titanic and per ratio, more men went in the water that this fact is true? Or does it have anything to do with the differences in male/female body, mass, or what happens to the differing sexes in the water? I don't know, but I'm really curious.