In retrospect, this should come as no surprise from the man who created the great character of Eustace Scrubb:
I get daily readings from C.S. Lewis' writings (via biblegateway.com), and today's excerpt sounds like he's describing Gammas:
"I am very puzzled by people like your Committee Secretary, people who are just nasty. I find it easier to understand the great crimes, for the raw material of them exists in us all; the mere disagreeableness which seems to spring from no recognisable passion is mysterious. (Like the total stranger in a train of whom I once asked ‘Do you know when we get to Liverpool’ and who replied ‘I’m not paid to answer your questions: ask the guard’).
I have found it more among boys than anyone else. That makes me think it really comes from inner insecurity—a dim sense that one is Nobody, a strong determination to be Somebody, and a belief that this can be achieved by arrogance."
- From The Collected Letters of C.S. Lewis, Volume III
It's funny, though, that he seems to find it more in boys than girls, since "gamma-ness" is similar to "female imperative" in your observations. Perhaps women and girls had enough class (or enough fear of public condemnation) in Lewis' day to keep it concealed in public .