How do I change a Facebook Group name that I’ve set it up via a Facebook page

I have a facebook page, and I set up a group, but want to rename it. When I google how to change the name of it, all the answers are for changing a group name set up by a person, not a page (and thus the options they mention aren’t available when I try).

Does anyone know how to do this?, And if not how to delete a group set up by a facebook page?

Many thanks,