In quantity: The tax rate was about 70%, i.e. you mainly worked for others. Compared to recent tax rates in Western countries today from about 20% to 40%, Nazi Germany was closer to socialism than capitalism.

The philosophy was mainly a racist nationalism and excessive patriotism, such that it enabled the Holocaust. The communicated purpose of the patriotism was to re-establish the German identity after the hard "Treaty of Versailles". Hitler acted in the interest of the working class, and restarted the economy, which the failed Weimar Republic had left with 6 million unemployed.

To some degree we do have both elements: Socialism and Nationalism.

The term "Socialism" on Wikipedia supports the idea that it was never an independent philosophy, more a kind of joker for a wide range of political agendas. And so Hitler probably used it for tactical reasons: he identified the central block as the enemy of his policy and collected voters from the far-left and far-right wings. Hitler was everything but a Marxist!

Today socialism is occupied by the left, while the meaning of nationalism depends on who uses it: the left associate it with racism, the right with patriotism.