The idiologie is called national socialism because their party was the Nationalsozialistische Arbeiter Partei NSDAP. Nazi is just short for Nationalsozialist (in english national socialist)
Ofc just because their name had socialist in the name doesnt mean they were socialists! Dont try to explain the nazis and what they did to a german.
You on the otherhand, seem to not grasp the difference between, nationalism, facism and national socialism. So here for you the difference: Nationalism: the belief of once nation/culture to be above and better than everyone else
Facism: same as nationalism just way more militaristic and beliefing in “the weak shall make way for the strong for they rule the world”
National socialism: all other cultures and nations should be eradicated. Belief and loyalty is the strong leader and nothing else
Every idiologie can be added with antisemitism anti christianism or any other hatret against religion