I am not sure if our group is listed in the right area (for when people browse groups)
How can I figure out if our group is listed under the right category?
David A commented
Under the About page you should see a link labelled "Category:" That link should take you to your category under Browse Groups.
Note 1: Finding groups in by browsing the category is like finding a needle in a haystack. The best way to find a group is to search for it. The best way to make your group show up in searches is to put keywords on your About page.