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 Cryptogrammoideae S. Linds. (2009)
                 Genus Coniogramme Fée (1852), nom. cons.