There are really only two types of facial hair: beards and mustaches. Every style of facial hair you’ve ever seen is one of these two, or a combination of both.
Think about it like part of a Linnaean taxonomy of human traits that we just made up but totally makes sense, where facial hair is a family, beards and mustaches are each a genus, and their many varieties are individual species that could interbreed, as it were, to create hybrid subspecies like the duck-billed platypus of the facial hair family, the soul patch.