a character vs a group like a church
There is more than one conflict in The Hobbit. The conflict with society would be with the river elves or Bilbo interactions with the dwarves as a group. But there is man vs man, man vs society, man vs enviroment
Man Vs. Nature Man Vs. Society Man Vs. Man
it is when man is having trouble with society
Man vs Man, Man vs Nature, Man vs Self, Man vs Society.
man vs man, man vs self, man vs nature, man vs society, man vs fate. =D
Man vs. nature is one of the most common conflicts found in stories, along with man vs. self, man vs. society, and man vs. man. Some short stories that contain man vs. nature conflicts specifically include "The Interloper" by Saki, "The Outcasts of Poker Flat" by Bret Harte, and "The Most Dangerous Game" by Richard Connell.
I would say it's a combination of Man vs Man and Man vs Society (although both main characters also had to overcome their limitations and prejudices).
Man vs ManMan vs NatureMan vs HimselfMan vs GodMan vs Society
There are many... Man vs man Man vs society Man vs nature Man vs self.
The conflict is Man vs. Man as demontrated in Man vs. Society/the government, and Man vs. Self.
Man Vs Man Man Vs Self Man Vs Society Man Vs Supernatureal Man Vs Environment
in a story: man vs man, man vs self, man vs society, man vs nature