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 Lindsaeineae
             Family Lindsaeaceae C.Presl ex M.R.Schomb. (1848) - lindsaeoids
               1 Genus Lindsaea Dryander ex Sm. (1793)
               2 Genus Nesolindsaea Lehtonen & Christenh. (2010)
               3 Genus Odontosoria Fée (1852)
               4 Genus Osmolindsaea (K.U.Kramer) Lehtonen & Christenh. (2010)
               5 Genus Sphenomeris Maxon (1913), nom. cons.
               6 Genus Tapeinidium (C.Presl) C.Chr. (1906)
               7 Genus Xyropteris K.U.Kramer (1958)