Germany should have won
The Axis powers consisted of Germany, Italy, Hungary, Bulgaria, Slovakia, Croatia, Romania, and Spain was 'neutral' but sent volunteers to the Wehrmacht. Vichy France also provided troops for the Wehrmacht while all occupied territories provided 60 % of the Waffen-SS who were foreigners. Finland was also a co-belligerent.
In the east, Japan was also part of the Axis and Thailand was a co-belligerent, run by the military.
However, yes, in the west Germany would have been by far the dominant power. The one's calling the shots and the biggest cultural influence.
Their plan was to divide the 'European Economic Zone' into fascist or national socialist states with Germany expanding into the east and Russia, while Italy would have the Middle East and Africa. And Japan, would have free reign across Asia.