Phylum [Tracheophyta] Sinnott ex Caval.-Sm. (1998) - vascular plants
   Subphylum Polypodiophytina Reveal (1996) [monotypic]
     Class Polypodiopsida Cronquist, Takht. & Zimmerm. (1966) - ferns
       Subclass Polypodiidae Cronquist, Takht. & Zimmerm. (1966)
         Order Polypodiales Link (1833) - cathetogyrates
           Suborder Pteridineae [monotypic]
             Family Pteridaceae E.D.M.Kirchn. (1831) - pteroids
               Subfamily Cheilanthoideae Horvat (1927)
                 01 Genus Adiantopsis Fée (1852)
                 02 Genus Aleuritopteris Fée
                 03 Genus Allosorus Bernh.
                 04 Genus Argyrochosma (J.Sm.) Windham
                 05 Genus Aspidotis (Nutt. ex Hook.) Copel. (1947)
                 06 Genus Astrolepis D.M.Benham & Windham (1992)
                 07 Genus Bommeria E.Fourn. (1877)
                 08 Genus Calciphilopteris Yesilyurt & H.Schneid.
                 09 Genus Cheilanthes Sw. (1806), nom. cons.
                 10 Genus Cheiloplecton Fée (1857)
                 11 Genus Doryopteris J.Sm. (1841), nom. cons.
                 12 Genus Gaga Pryer, F.W.Li & Windham (2012)
                 13 Genus Hemionitis L. (1753)
                 14 Genus Lytoneuron (J.F. Klotzsch) J.C. Yesilyurt (2015)
                 15 Genus Mildella Trevis. (1877)
                 16 Genus Myriopteris Fée
                 17 Genus Notholaena R.Br.
                 18 Genus Ormopteris J.Sm. (1875)
                 19 Genus Paragymnopteris K.H.Shing
                 20 Genus Parahemionitis Panigrahi
                 21 Genus Pellaea Link (1841), nom. cons. - cliff brakes
                 22 Genus Pentagramma Yatsk., Windham & E.Wollenw. (1990)
                 23 Genus Trachypteris André ex Christ (1899)