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 .

culture and society

Culture and society are not the same thing. While cultures are complexes of learned behavior patterns and perceptions, societies are groups of interacting organisms. People are not the only animals that have societies. Schools of fish, flocks of birds, and hives of bees are societies. In the case of humans, however, societies are groups of people who directly or indirectly interact with each other. People in human societies also generally perceive that their society is distinct from other societies in terms of shared traditions and expectations.
While human societies and cultures are not the same thing, they are inextricably connected because culture is created and transmitted to others in a society. Cultures are not the product of lone individuals. They are the continuously evolving products of people interacting with each other. Cultural patterns such as language and politics make no sense except in terms of the interaction of people. If you were the only human on earth, there would be no need for language or government.