This is probably the one single point I've seen completely overlooked in every men vs. women debate.
As someone who's been in management, I can't count how many times senior executives who were male wanted to promote a woman to a more senior role, only to have other senior women disagree to such an extent, it caused a scene. This is probably one of the more interesting dynamics in this conversation which is often brushed aside.
One of my colleagues once made the comparison how men are always in the "alpha" mode. Always trying to be top dog, always trying to outdo their peers for the top roles. He said this is just as prevalent with women, and most people never see it because women tend to be more, shall I say more "backstabbing" than their male counter parts.