society -- (an extended social group having a distinctive cultural and economic organization)
club, social club, society, guild, gild, lodge, order -- (a formal association of people with similar interests; "he joined a golf club"; "they formed a small lunch society"; "men from the fraternal order will staff the soup kitchen today")
company, companionship, fellowship, society -- (the state of being with someone; "he missed their company"; "he enjoyed the society of his friends")