Single Word Request - Supremacy Based off of Arrogance

I am looking for a single word (or small phrase) to express the idea of someone being racist/sexist/generally supremacist for a specific reason; namely a version of the supremacy from a "logic" along the lines of "I am great, therefore people like me are good, and people NOT like me are bad".

I am looking to describe a fairly flexible sort of thing where instead of thinking "My people are superior", they think "I am superior and that person is like me". I would not say xenophobic as that seems more focused on disliking outsiders, instead of naively overvaluing themself. In a sentence one might say, "He's not racist per se but more accurately ______".

Does such a word or phrase exist?

Edit: spelling Update after a few answers: Chauvinist and Supremacist alone carry the outward attitude I am trying to find but a key aspect of what I am looking for is a level of personal narcissism as the (possibly sole) driving factor.

Solution 1:

Elitism.

Elitism is the belief or attitude that individuals who form an elite—a select group of people with an intrinsic quality, high intellect, wealth, special skills, or experience—are more likely to be constructive to society as a whole, and therefore deserve influence or authority greater than that of others.

^{wikipedia.org}

practice of or belief in rule by an elite.

consciousness of or pride in belonging to a select or favored group.

Dictionary.com

Solution 2:

I see nothing wrong with supremacist From Lexico:

supremacist: A person who believes that a particular group, especially one determined by race, religion, or sex, is superior and should therefore dominate society.

If you drop "especially one determined by race, religion, or sex" -- which is not essential to the definition -- you have "a person who believes that a particular group is superior and should therefore dominate society." This is exactly the sort of person you've described in your question. If you want to talk about a particular type of supremacist, i.e., member of a group that believes itself superior or supreme, you need an adjective, e.g., white supremacist, black supremacist, female supremacist, etc.