The Nazis were socialists.
National socialists, that puts them in the right wing.
The Nazis had equal elements of both political spectrums, which is why they gained so many voters from the KPD and SPD which were the communist and socialist parties in germany.Essentially all their domestic policies were left-wing while their foreign policies were right-wing.
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Pew research center has found the exact opposite to be true. That the left moved way further to the far left than the right did to the far right.