Ive heard of admin, but never "administrator" of all admins?

This has to do with the Board of Education computers at my highschool. Theres 3 accounts:

admin: passworded
student: no passworded
teacher: passworded

however, you need account with admin privileges to install anything and do most things. i logged into admin (dont ask how) and tried to install a program for the school, it said I didnt have administrator access.

there’s actually an super-god admin of all admins and accounts. anyone care to explain?