Is society culture or is culture society ?

Not at all

As we mentioned before in the first pages culture refers to the cumulative deposit of knowledge, experience, beliefs, values, attitudes, meanings, hierarchies, religion, notions of time, roles, spatial relations, concepts of the universe, and material objects and possessions acquired by a group of people in the course of generations through individual and group striving.

A society is a body of individuals of a species, generally seen as a community or group, that is outlined by the bounds of functional interdependence, comprising also possible characters or conditions such as cultural identity, social solidarity, or eusociality. Human societies are characterized by patterns of relationships between individuals that share a distinctive culture or institutions. Like other groups, a society allows its individual members to achieve individual needs or wishes that they could not fulfill separately by themselves, without the existence of the social group .

To make it Claire; society made culture and role it .