vascular plants see Phylum Tracheophyta Sinnott ex Caval.-Sm. (1998)
   euphyllophytes see Clade Euphyllophyta Lecointre & Le Guyader 2006 [Cantino & Donoghue 2020]
     monilophytes - ferns see Clade Monilophyta Cantino & Donoghue 2007 [Doyle, Cantino & Donoghue 2020]
       Class Polypodiopsida Cronquist, Takht. & Zimmerm. (1966) - ferns
         core leptosporangiates
           Order Polypodiales Link (1833) - cathetogyrates
             Family Pteridaceae E.D.M.Kirchn. (1831) - pteroids
               Subfamily Adiantoideae Horvat (1927) see Subfamily Vittarioideae Link (1841)
                 01 Genus Adiantum L. (1753)
                 02 Genus Ananthacorus Underw. & Maxon ex Maxon (1908)
                 03 Genus Anetium Splitg. (1840) see Genus Polytaenium Desv.
                 04 Genus Antrophyum Kaulf. (1824)
                 05 Genus Haplopteris C.Presl (1836), nom. cons.
                 06 Genus Hecistopteris J.Sm. (1842)
                 07 Genus Monogramma Comm. ex Schkuhr (1808) see Genus Haplopteris C.Presl (1836), nom. cons.
                 08 Genus Polytaenium Desv.
                 09 Genus Radiovittaria (Benedict) E.H.Crane (1998)
                 10 Genus Rheopteris Alston (1956)
                 11 Genus Scoliosorus T.Moore
                 12 Genus Vittaria Sm. (1793)