Phylum [Tracheophyta] Sinnott ex Caval.-Sm. (1998) - vascular plants
   Subphylum Polypodiophytina Reveal (1996) [monotypic]
     Class Polypodiopsida Cronquist, Takht. & Zimmerm. (1966) - ferns
       Subclass Polypodiidae Cronquist, Takht. & Zimmerm. (1966)
         Order Polypodiales Link (1833) - cathetogyrates
           (eupolypods)
             Suborder Polypodiineae Dumort. (1829)
               Family Polypodiaceae J.Presl & C.Presl (1822) - polygrams
                 Subfamily Polypodioideae Sweet (1826) [paraphyletic]
                   1 Genus Campyloneurum C.Presl (1836)
                   2 Genus Microgramma C.Presl (1836)
                   3 Genus Niphidium J.Sm. (1875)
                   4 Genus Pecluma M.G.Price (1983)
                   5 Genus Phlebodium (R.Br.) J.Sm. (1841)
                   6 Genus Pleopeltis Humb. & Bonpl. ex Willd. (1810)
                   7 Genus Pleurosoriopsis Fomin (1930)
                   8 Genus Polypodium L. (1753)
                   9 Genus Serpocaulon A.R.Sm.