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 Onocleaceae Pic.Serm. (1970) - onocleoids
                   1 Genus Matteuccia Tod. (1866)
                   2 Genus Onoclea L. (1753)
                   3 Genus Onocleopsis Ballard (1945)
                   4 Genus Pentarhizidium Hayata