For the history nerds here:
http://piketty.pse.ens.fr/files/capitalisback/CountryData/Germany/Other/Pre1950Series/RefsHistoricalGermanAccounts/BuchheimScherner06.pdf
Great paper on the role of private/public ownership of industry in Nazi Germany. Basically, the thesis is that the level of control the Nazi government exerted over private industry has been vastly overstated, and private ownership was not merely 'nominal', as is often asserted by people who want to make a Nazi/socialist connection.
Basically, the Nazis did implement certain controls, but left much of the scheduling of manufacturing open for factory owners to choose, and respected contracts - they did not often force any factory into any kind of production. Instead they did their best to offer multiple contracts and work on factory owner's terms. So long as they suited the war effort. Price controls could also be flexed.
The Nazis did not control investment at any point, either.
Really the two "classically capitalist" features the Nazis are missing are in price controls and a lack of truly competitive markets (Hitler literally abolished businesses that had too little cash..). It was state directed capitalism, pure and simple. And relative to other countries actually intervened less in their businesses it seems than other countries, even during the war. I find it amazing that the myths about Nazis being left or socialist still exist.
The more you study history, the more you realize there's a slew of really bad American authors who want to rewrite every historical event to the conclusion that America got it all right and every other system is a communist failure. Or something like that. It's really annoying.