Read the links I posted, and/or read Mises on “German socialism.”
“German socialism” and “Russian socialism,” as Mises called them, amount to the same thing despite some shades of difference.
The Soviet Union nationalized all industry. There were no privately owned businesses.
The "socialist" Nazis didn't nationalize industry. They even sold off state industry to the private sector. What the Nazis did have was a war economy, with the private sector drafted into building war materiel.
In that respect they resembled another major power whose private sector was drafted into building war machinery, the United States. And von Mises noted that similarity.
https://oll.libertyfund.org/quote/mises-on-how-price-controls-lead-to-socialism-1944
It is sometimes difficult for modern readers to imagine how much government intervention in the economy took place during World War Two, even in the so-called liberal democracies like Great Britain and the United States. It would take a refugee from Nazi Europe, such as the economist Ludwig von Mises, to see the close parallels between the economic policies of Nazi Germany and the United States of President Roosevelt. These parallels arose because both economies faced similar difficulties in time of war.
With international free trade disrupted, goods with multiple uses (such as gasoline and rubber) had to be allocated away from consumer goods production to war goods production such as tanks and aircraft. Since the government did not wish to pay more for these goods in a free market, thus competing with consumers for the use of these goods, it used regulations and controls like rationing to take the bulk of these products for its war industries and to ration what was left to the consumers.