This is a really deep topic both on a historical and current level.

As far as Nazi Germany goes:

Yes, the Nazi party was a National Socialist movement. This simply means that they represented both Socialism and German ideals. Socialism was their economic modus operandi but the German Nationalist aspect was the means of uniting the "German" people as a source of national pride and hope. The people who were targeted by the "Germans" simply represented, for lack of a better term "Infidels".

For example, "Communists" were agents of Russia, Jews were their own separate culture, as were gypsies, ect........ The bottom line is that all the groups which were persecuted by the Nazis represented outside cultures which did not assimilate into the dominant German culture.

Here is the definition of Fascism:

A system of government marked by centralization of authority under a dictator, stringent socioeconomic controls, suppression of the opposition through terror and censorship, and typically a policy of belligerent nationalism and racism. - Dictionary.com

Of course the term "Fascism" comes from Benito Mussolini and his Fascisti party and only addresses the the nationalist aspect of an authoritarian movement. As far as Socialism is concerned, it is implied than any "Nationalist" based economic system is by definition "Socialist" in nature.

It has always been really interesting to me to see people use terms like "Fascist"

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