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 Gleicheniales Link (1833)
                 Family Gleicheniaceae C.Presl (1825) - forking ferns
                   Subfamily Gleichenioideae
                     1 Genus Dicranopteris Bernh. (1805)
                     2 Genus Diplopterygium (Diels) Nakai (1950)
                     3 Genus Gleichenella Ching
                     4 Genus Gleichenia Sm. (1793), nom. cons.
                     5 Genus Sticherus C.Presl (1836)