plants Haeckel (1866) - plants
   Division Charophyta Migula (1889) - charophyte algae and embryophytes see charophytes
     Subdivision [Streptophytina] see [unranked] Streptophytina Lewis & McCourt (2004)
       Class Equisetopsida C.Agardh (1825) - horsetails see Subclass Equisetidae Warm. (1883)
         Vascular Plants see Phylum Tracheophyta Sinnott ex Caval.-Sm. (1998)
           [Ferns]
             Subclass Polypodiidae Cronquist, Takht. & Zimmerm. (1966)
               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)