The idea that narcissism is on the autism spectrum is preposterous! Let me give you a few facts. The term narcissism comes from Narcissis, a very handsome boy in Ancient Greece who fell in love with his own reflection in the river and used to lie for hours looking at it, and there is a flower named after him. I went to school with a kid who could be classified as a narcissist, who, I remember one day, asked a girl if he could borrow something of hers and she said no, and he replied, "And who takes you places?" That, in itself, is a guilt trip, but he was an arrogant being.
One day, he did two things, he proceeded to continuously put me down verbally, and loudly asked me in front of the class what I was doing about my acne, to humiliate me, and then he became physically abusive.
Then, when I scored more highly than him, in our math exam, he snarled, "Peter got the top mark!" and then roared like a constipated lion!
The previous year he did the same thing and I said, "What's wrong with you?" and one of teachers said, "That's something I've wondered for ages." On another occasion, he pushed me out of the way and the same teacher told him it was very rude. He just looked at what he was doing and smirked.
I wanted to applaud one day, when he was mouthing off to another girl about how another teacher had said, "I've had enough of you! You're rude, you're arrogant, ah, that's it!" And I thought, "Well said and done for that teacher!"