So you got sold a subdomain? That's a new one for me.
Anyhow, first level domain were to be "shared", non directly registrable, domains.
Since they decided to open it up for first level registration, there has been no way to get a once-shared first level domain, even when you're its only user.
If you attempt a whois on omg.lol you get a normal whois. If you do a whois on a shared .name domain you get this:
Not available for second level registration.
Third level registrations may be available on this shared name.
To request access to data listed as “Redacted” or “Redacted for Privacy” in the
above WHOIS result, please contact Customer Service at info@verisign-grs.comI've peeked at omg.lol and it looks like they aren't in the business of registering subdomains per se. They try to sell you a bunch of services that resemble a paid social network, and they provide you with a subdomain along with the deal. For that subdomain they charge you with about double what you would pay for an actual domain name.