If you want to browse the list of groups then first tap people on the nav bar.
This will display all groups, grouped by group type. If you pick another type from the drop down it will update the list of groups, the drop down shows how many groups there for each group type and how many groups in total. In this case there are 14 Church groups and 59 groups in total.
If you check the boxes to the left of each group you'll get the following bulk action options:
Change group type...: Change the type of the selected groups.
Change group leader...: Change the leaders of the selected groups.
Change group access...: Change which security areas are applied to the selected groups.
Change group permission...: Change the permission of the selected groups to Private, Protected or Public.
Change group visibility...: Change the visibility of the selected groups, from hidden; to published; to featured.
Duplicate selected groups: Create a duplicate of each of the selected groups.
Delete selected groups: Delete all the selected groups.
Tip: If you open each group in a new tab then you will be able to keep your place in the list as you browse through groups.
The side panel includes an option to import a spreadsheet list of groups. There is also an embed option that gives you the option to embed a list of all the published groups on your website. This can be useful if you want to provide a directory of groups that people can join.