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
               .01 Genus Actiniopteris Link (1841)
               .02 Genus Adiantopsis Fée (1852)
               .03 Genus Aleuritopteris Fée
               .04 Genus Anogramma Link (1841)
               .05 Genus Argyrochosma (J.Sm.) Windham
               .06 Genus Aspidotis (Nutt. ex Hook.) Copel. (1947)
               .07 Genus Astrolepis D.M.Benham & Windham (1992)
               .08 Genus Austrogramme E.Fourn. (1873)
               .09 Genus Bommeria E.Fourn. (1877)
               .10 Genus Cassebeera Kaulf. (1824) see Genus Doryopteris J.Sm. (1841), nom. cons.
               .11 Genus Cerosora (Baker) Domin (1929)
               .12 Genus Cheilanthes Sw. (1806), nom. cons.
               .13 Genus Cheiloplecton Fée (1857)
               .14 Genus Cosentinia Tod. (1866)
               .15 Genus Doryopteris J.Sm. (1841), nom. cons.
               .16 Genus Eriosorus Fée (1852) see Genus Jamesonia Hook. & Grev. (1830)
               .17 Genus Hemionitis L. (1753)
               .18 Genus Holcochlaena Baker see Section Pellaea sect. Holcochlaena
               .19 Genus Jamesonia Hook. & Grev. (1830)
               .20 Genus Mildella Trevis. (1877)
               .21 Genus Nephopteris Lellinger (1966) see Genus Jamesonia Hook. & Grev. (1830)
               .22 Genus Neurocallis Fée (1845), nom. corr. see Genus Nevrocallis Fée (1845)
               .23 Genus Notholaena R.Br.
               .24 Genus Ochropteris J.Sm. (1841) see Genus Pteris L. (1753)
               .25 Genus Onychium Kaulf. (1820)
               .26 Genus Paraceterach Copel. (1947) see Genus Pellaea Link (1841), nom. cons.
               .27 Genus Parahemionitis Panigrahi
               .28 Genus Pellaea Link (1841), nom. cons. - cliff brakes
               .29 Genus Pentagramma Yatsk., Windham & E.Wollenw. (1990)
               .30 Genus Pityrogramma Link (1833)
               .31 Genus Platyloma J.Sm. see Section Pellaea sect. Platyloma
               .32 Genus Pterozonium Fée (1850)
               .33 Genus Syngramma J.Sm. (1845)
               .34 Genus Trachypteris André ex Christ (1899)
               1 Subfamily Parkerioideae Burnett (1835)
               2 Subfamily Adiantoideae Horvat (1927) see Subfamily Vittarioideae Link (1841)
               3.1 Genus Coniogramme Fée (1852), nom. cons.
               3.2 Genus Cryptogramma R.Br. (1823)
               3.3 Genus Llavea Lag. (1816)
               4 Subfamily Cheilanthoideae Horvat (1927)
               5 Subfamily Pteridoideae Link (1841)