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 Polypodiaceae J.Presl & C.Presl (1822) - polygrams
               Subfamily Polypodioideae Sweet (1826)
                 01 Genus Acrosorus Copel. (1906)
                 02 Genus Adenophorus Gaudich. (1824)
                 03 Genus Calymmodon C.Presl (1836)
                 04 Genus Campyloneurum C.Presl (1836)
                 05 Genus Ceradenia L.E.Bishop (1988)
                 06 Genus Chrysogrammitis Parris
                 07 Genus Cochlidium Kaulf. (1820)
                 08 Genus Ctenopterella Parris
                 09 Genus Dasygrammitis Parris
                 10 Genus Enterosora Baker
                 11 Genus Grammitis Sw. (1801)
                 12 Genus Lellingeria A.R.Sm. & R.C.Moran
                 13 Genus Leucotrichum Labiak
                 14 Genus Luisma M.T.Murillo & A.R.Sm.
                 15 Genus Melpomene A.R.Sm. & R.C.Moran (1992)
                 16 Genus Microgramma C.Presl (1836)
                 17 Genus Micropolypodium Hayata
                 18 Genus Niphidium J.Sm. (1875)
                 19 Genus Oreogrammitis Copel. (1917)
                 20 Genus Pecluma M.G.Price (1983)
                 21 Genus Phlebodium (R.Br.) J.Sm. (1841)
                 22 Genus Pleopeltis Humb. & Bonpl. ex Willd. (1810)
                 23 Genus Pleurosoriopsis Fomin (1930)
                 24 Genus Polypodium L. (1753)
                 25 Genus Prosaptia C.Presl (1836)
                 26 Genus Radiogrammitis Parris
                 27 Genus Scleroglossum Alderw. (1912)
                 28 Genus Serpocaulon A.R.Sm.
                 29 Genus Synammia C.Presl (1836)
                 30 Genus Terpsichore A.R.Sm.
                 31 Genus Themelium (T.Moore) Parris
                 32 Genus Tomophyllum (E.Fourn.) Parris
                 33 Genus Xiphopterella Parris
                 34 Genus Zygophlebia L.E.Bishop (1989)