What was the state of Command, Control, & Communications like for the major warring nations?

I recently came across Dirk Ringgenberg’s Pershing Lecture Series’ talk about the state of Battlefield Communications in the first world war, and am wondering what the state/development of C3 was like for the main combatants in the Second World War. The Fall of France and Crete in 1940 seem like they can largely be attributed to very poor C3 on the part of the French and British, whereas the Germans enjoyed a huge C3 advantage in the earlier parts of the war at the tactical & strategic level. Obviously, this gap narrowed and most likely flipped as the war progressed. Given the importance of communications in modern combined arms warfare, I would love to hear Indy and Sparty riff for a few minutes on this topic.

(https://www.youtube.com/watch?v=6BAaaQAC6yU&list=PL1OLsQ_f7YPf9CsWGDbSNHC38B51SPh0e&index=13)

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