Actually, the Germans did have one -- the Graf Spee -- it was launched but never commissioned. The Russians nabbed it at the end of the war and it hasn't been heard from or seen since.
Rather than have the Brits sink her, her skipper ordered her sunk in the Rio de la Plata, in South America. Most of her deckplates and armor were salvaged by the Argentines. In fact, some Ballester-Molina 1911-A1 .45s were made of this steel. Legend has it that when the slide is racked, a ringing sound, like a bell clang, is heard.
Obviously, these pistols are highly valued.
If the Germans in WWII ever constructed a CV, I never heard of it. I'll have to look that up.