No, that's "Levison" or the like.
The Kohain are more often "Cohen" "Katz" or the like.
Kohain are paternal descentants of Aaron.
Leonard Nemoy is a Kohain. (That's where the Vulcan hand symbol comes from.)
Fascinating. Aaron was also a Levite, if I'm not mistaken. But Aaron and his descendants were distinct among the Levites, and had greater authority.
We Mormons have two categories of "priesthood," Aaronic and Melchizedek. We believe that John the Baptist held the Aaronic priesthood, and thus had authority to baptize Jesus. I'm not sure whether that belief is unique to us, or not.