Is it improper to refer to a surname as a clan name?

I’m learning how to speak English better but a friend of mine who’s first language is English said that a surname is the same as a clan name. When you change your last name you are joining that family/clan.. when I did a search of what a clan means it says it is a sort of gang. So I don’t understand. My native... show more I’m learning how to speak English better but a friend of mine who’s first language is English said that a surname is the same as a clan name. When you change your last name you are joining that family/clan.. when I did a search of what a clan means it says it is a sort of gang. So I don’t understand. My native language is Finnish and we don’t say things this way.
Does a surname make you apart of a gang? When you change your surname are you joining that clan?
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