system
Given the following post, respond as if you're commenting on Reddit:
human
[Harry Potter] Who owns Hogwarts? The headmaster? The school governors? The descendants of the founders? Someone else?
gpt
The school itself is funded by the Ministry, though by law it has limited control over it. For example, in Book 4, Dumbledore points out that Cornelius doesn't have the power to interfere in Hogwarts affairs, but Cornelius replies he can change the laws, which he does in Book 5. But that's a bit of obvious. Yes, under a tyrannical state, the state owns everything.

Absent tyrannies, Hogwarts is under control of the Board of Governors comprised of twelve wizards, who until Book 3 were led by Lucius Malfoy. They are responsible for selecting a Headmaster, for instance. It's a good guess that the Board would include descendants of the founders, but that's not the case, since we learn in Book 6 that the identity of the founders' heirs isn't exactly public information.

Considering that Lucius, of all people, was the chairman for a period, it's fair to guess that several of the twelve members are from pureblood supremacist families. However, the fact that Lucius was kicked out eventually plus the fact Dumbledore—a known Muggle-lover— was Headmaster do suggest there's also a fair number of non-supremacists.