There is an active facebook group for shippers of Harry and Hermione, you do have to 18 and over to join.
https://www.facebook.com/groups/528482250864560/?ref=bookmarks
Other friendly active groups, these are all not central to shipping and include all ships, so if you are interested in them please do not ship bash other ships.
1. Harry Potter Fanfiction
https://www.facebook.com/groups/103447126367414/?ref=bookmarks
2. Hermione's Haven (18+)
https://www.facebook.com/groups/1666483830339702/?ref=bookmarks
3. Granger Enchanted Survivors (18+)
https://www.facebook.com/groups/268261416844909/?ref=bookmarks
4. Hermione's Nook
https://www.facebook.com/groups/hermionesnook/?ref=bookmarks
5. Granger Addicts
https://www.facebook.com/groups/1602089196709517/?ref=bookmarks
6. The Shrieking Shack Society
https://www.facebook.com/groups/ShriekingShackSociety/?ref=bookmarks
7. The Fire Girl's Frost and Tonic
This is a Ginny/Draco and Ginny/Tom group, I figured I would include it since a lot of people who shipped H/Hr also shipped D/G.
https://www.facebook.com/groups/970272449795902/?ref=bookmarks
8. Harmony Shippers
This is another H/Hr,it's not to active, and there isn't much going on there.
https://www.facebook.com/groups/1991393541189192/?ref=bookmarks
9. Harmony (Harry Y Hermione)
Spanish speaking H/Hr group
https://www.facebook.com/groups/110477982388045/?ref=group_browse_new
10. Archive of Our Own (AO3) Writers
Good fanfiction group that promotes Ao3
https://www.facebook.com/groups/ArchiveofOurOwn/?ref=group_browse_new
