In three parts:
Hitler’s National Socialist Worker’s Party (The Nazi Party) nationalized factories, took over companies, dictated production to private corporations, set price and wage controls, destroyed large retail outlets, maintained universal health care, placed limits on stock dividends, controlled capital and the means of production. The Socialist label Hitler picked was very deliberately chosen, for very clear reasons.
For those who say that Hitler hated other socialists; so what? Hating other socialists doesn’t cancel out one’s socialism, just as hating other capitalists doesn’t cancel out one’s capitalism. Also, there are different types of socialists. Stalin killed Trotsky. Because the Nazis killed certain socialists is no argument that they themselves weren't socialists. Who says that socialist A can't kill socialist B? It happens throughout modern history.
As to the "outlawing of labor unions", this is evidence the Nazis were central planners. When a central government bans or outlaws any non-violent activity, it is evidence of central planning, not some free market or unregulated society.
Quite often Socialists purge or murder various groups, minorities and races. Hitler did this with Jews, blacks, gypsies, and others. The Soviet Union did the same with different groups, including Jews. Mao purged various groups too, as did Kim.
“In November 1948, Soviet authorities launched a campaign to liquidate what was left of Jewish culture. The leading members of the Jewish Anti-Fascist Committee were arrested. They were charged with treason, bourgeois nationalism and planning to set up a Jewish republic in Crimea to serve American interests. The Museum of Environmental Knowledge of the Jewish Autonomous Oblast (established in November 1944) and The Jewish Museum in Vilnius (established at the end of the war) were closed down in 1948. The Historical-Ethnographic Museum of Georgian Jewry, established in 1933, was shut down at the end of 1951.”
Stalin and antisemitism - Wikipedia
Nazis took over the means of production. Some examples include Junkers Flugzeug.
Junkers - Wikipedia
There was the automobile industry:
"Hitler envisioned widespread car ownership as part of the new Germany. He arranged for designer Ferdinand Porsche to draw up plans for the KdF-wagen (Strength Through Joy car), intended to be an automobile that every German citizen could afford."
Nazi Germany - Wikipedia
Wage and price controls.
"Göring instituted wage and price controls and restricted the issuance of stock dividends."
Nazi Germany - Wikipedia
Continued: