I am interested in whether or not businesses did well under a Nazi Regime. Did they do well because of the capitalist system (as past of fascism) allowed them to do whatever they wanted (as part of a free market) or did they suffer because the totalitarian aspect of the state hindering their progress?
Many businesses enjoyed an extremely close relationship with the Reich government. The most notorious one, IG Farben, --a chemical conglomerate formed in 1925 and made up of Bayer, BASF and others-- was so deeply implicated in committing crimes against humanity--being the supplier of Zyklon B, the poison used in the gas chambers--that it was abolished after the war, and many of its corporate officers were put on trial.
Post war examination has shown that the Nazi economy --and indeed the entire Nazi bureaucracy was a house of cards, built on the loot and plunder of conquered nations in the former, and a personality cult and backstabbing on the latter. German industrial production peaked in 1944 under the direction of Minster of Armaments Albert Speer. These improvements can be principly attributed to him untangling the mess created by other Nazis, in their effort to win Hitlers favor, carving out little bureaucratic empires for themselves. This is especially evident in the restructuring of the Reichswerke Hermann Göring, an enormous state controlled steel conglomerate, formally headed by Hermann Göring.
Sources:
Inside the Third Reich, Speer, Albert
The Rise and Fall of the Third Reich, Shirer, William