Yeah, it's often a surprise how fascism has historically been entwined with corporatism. Putting the word "socialist" between "national" and "party" was a meaningless but ingenious marketing ploy.
Corporatism (not to be confused with corporatocracy) was one of the main tenants of Fascism (capital F) which various fascist movements of the era emulated in some way or another. Germany's corporatism though was a lot weaker than Italy's; corporatist bodies like labor unions and trade groups never got any legislative power.
Of course, these days corporatism is more associated with social democracy.
With corporatism, a dictator only needs to control the relatively small number of guilds (sector wide corporazioni in case of Italy) to control the economy.
This is a huge step up, in terms of control, from capitalism for a dictator, while not nearly as hard to implement (and in the Nazi's case, not nearly as linked to Jews) as socialism.
The Nazis though didn't really implement corporatism to quite the same level as others. In many ways, they were quite capitalistic - "privatization" was, after all, coined to describe the philosophy of the Nazi economy. In industries related to the war, they looked more like a command economy.
Lenny Bruce had a joke about how people got tired of having beat up people themselves. So they hired cops. Who are perfectly happy to beat them as well.
My distillation. If you see someone do something shitty to someone else, stick around and they'll do it to you too.
Obligatory Bevis: Not me! The cow!