Google Domains was a registrar.
the Registry itself has some arcane and obfuscated corporate name that was something entirely different from Google LLC (Charleston Road Registry Inc)
That's interesting, more interesting is that Google created this Inc to workaround ICANN requirements
"Charleston Road Registry (CRR), also known as Google Registry, is a wholly-owned subsidiary of Google. Because ICANN requires that registrars and registries remain separate entities, and Google is an ICANN-accredited registrar, CRR exists as a separate company from Google. We offer equivalent terms to all registrars in terms of pricing, awarding domains, or any other domain operations; we'll partner with any ICANN-accredited registrars that are interested in our domains and meet any additional criteria that we set for a TLD." [1]
Just as a heads up.