See for yourself. I got this definition from dictionary.Com
A belief or doctrine that inherent differences among the various human races determine cultural or individual achievement, usually involving the idea that one's own race is superior and has the right to rule others.
Hatred or intolerance of another race or other races."
One could think they're culture or race they belong too is superior, yet not hate the other person. This tends to be true of Chinese, Arabs, Italians, Spaniards, Germans. Many love their culture, and in many cases, and I'll admit I have these feelings, I think they're superior to Northern Europeans in many ways.
The KKK was a mix of racism and racial hatred. For black folks, unfortunately, it was both. For the other immigrant groups it was envy.
The Nazis and Fascists were racists. They mostly thought their respective cultures were superior. Hitler, Mussolini and Hirohito thought their cultures were superior. The Klan on the other hand was racial hatred.