Nazism, or the Fourth Reich, was lead by Adolf Hitler. Early germanic cultures evolved nazism from neorealist perspectives fused with post-gregorian and historical materialism. In other words, Nazism was the German form of Neo-post-materialism.
facism
The word you're looking for is Fascism.
In every way, as the Nazis were in fact, fascists.
That would be Nazism.
Nazism is short for National Socialism (Nationalsozialismus in German). This was the extreme right-wing political movement led by Adolf Hitler.
Nazism was essentially just a form of fascism
Was is the translation in German. It is translated from English to German. German is mostly spoken in the European countries.
Nazism has of course no connection at all with Socialism, which means a classless stateless society based on production for use.
Nazism or National Socialism
The German brand of facism based on extreme nationalism
Fascism
Ignatios Layola and the spanish inqistion invented the "secret police" the first form of nazism