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Our military engineers planned a heavy tank as well based on their observations of the Panther and Tiger tanks. It was the 44M Tas. The main gun would have been the 29/38M 80 mm AA gun at first, but the prototype got the 1943M 75mm (long, high-velocity) gun.
The categories of medium and heavy tanks in the Hungarian army was used by the size of the gun and not by the weight of the tank. So the Turáns with the 75 guns were graded as heavy tanks, just like the Pz IV's we obtained from the Germs while those were medium tanks in the Wehrmacht.
And now that we are talking about German armament... After we moved the 2nd Hungarian Army to the Eastern Front the German high command started to give material gradually to help alleviate the urgent need of modern weapons. This way during the course of the war we got:
Pz II
Pz III M
Pz IV F1, F2, G, H
Pz V
Pz 38t
Marder II
Hetzer