According to a tweet that was published this afternoon, Google Domains is now using a .Google domain name for its website. Previously, the company was using Domains.Google.com for its website, but it recently changed its url to Domains.Google:
— Google Small Biz (@GoogleSmallBiz) March 29, 2016
I would imagine that many people in the new gTLD space will applaud Google’s move to a .Google domain name. It makes sense that the company would begin using its branded domain name for this particular business unit.
The one thing that seems a bit strange to me is that the registrar is called “Google Domains” yet the url is using, Domains.Google, seems to be backwards. IMO, Google.Domains may have made more sense for a brand called Google Domains, although that would sort of defeat some of the purpose of having .Google in the first place. Google does own Google.Domains, so I would assume the company could use the domain name for forwarding if it felt that was necessary.
In any case, I presume this will be used as a model for other companies that are considering using branded extensions for their website.