The Aspleniaceae Family was named and described by Edward Newman in the History of British Ferns in 1840.
Plants of the World Online lists 12 accepted genera in this family. The 2013 version of The Plant List named 25 accepted genera with 544 accepted species (including infraspecific names) plus a total of 644 synonyms and 1,660 species names that were STILL unresolved. It listed another 11 genera that were unresolved. Well, The Plant List is no longer maintained and Plants of the World is fairly new and still uploading data. I can’t make heads or tails of what the Wikipedia has to say about how many genera are in the family. Maybe you can figure it out…
For further information on this family of plants, please click on the links below. They take you directly to the page for the family.