None as of yet.
Although Emacs' key bindings are notoriously long, they aren't all necessarily chosen randomly. In general, they are designated in accordance with three rules:
C-x reserved for Emacs native essential keybindings.
C-c reserved for users. Specifically,
C-c letter allocated for minor modes,
C-c C-letter allocated for major modes.
C-h following any prefix character, including
For an in-depth discussion, see this reddit post referencing this manual page.