Have not done this, you are lucky you have AP-s, we think now it is never going to happen, because of the shortage 🙂
May be it is easiest to select all ap-s in the group and move to another zone and then to a group. Group does not have too many parameters to restore. But if you have 50+ groups, it is another story.
AP groups cannot be moved between the zone.
Please use Clone option, it will create identical Zone with all the AP groups inside it. Once done, you can move the APs from one zone to another.