Changing groups from Public to Private and back on dashboard

[Chris Brown]

Hello,
We have an app that is live for a client where users can create groups and specify public or private during creation. The client did not request the user have an option to change their group from public/private, so we did not build this into the app. However, they are now asking if we can manually change a group.

I did not see a way in the dashboard to access if the group is public or private nor to change this setting. Is there some way we can do this using the API explorer in the dashboard?

Thank you for your help.