Group owner and administrator permissions
A group administrator has almost the same abilities to manage a group as the group owner (the one who creates the group), except a group administrator cannot delete the group unless they are also the community administrator.
Besides deleting the group, group owners and administrators can also customize the group landing page and manage group members, including disabling them, deleting them, or sending them messages. For more information, see Customizing the group landing page and Managing group members.