Kingdom Chlorobiota C.Jeffrey ex Doweld (2001) - plants see Subkingdom Viridiplantae Caval.-Sm. (1981)
   Subkingdom Pteridobiotina Britton & A. Br. (1896)
     Superdivision Pteridophytanae Doweld (2001) [monotypic] see Superphylum Pteridophytanae Doweld (2001)
       Division Monilophyta Cantino & Donoghue
         Class Polypodiopsida Cronquist, Takht. & Zimmerm. (1966) - ferns
           Order Polypodiales Link (1833) - cathetogyrates
             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)