Tsk... Again with the definitional issues. It's almost as though you are using an entirely different language that, confusingly, uses many of the same words as English, but with completely different meanings.
so·ci·e·ty
/səˈsīətē/
Noun
- The aggregate of people living together in a more or less ordered community.
- The community of people living in a particular region and having shared customs, laws, and organizations.
"Societies are communities". Here you can see, what kind of bullshit we 'learn' in the dictionaries of the authority. I agree with @blablahblah.