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 Gleicheniales Link (1833)
           10 Family Matoniaceae C.Presl (1847) - matonioids
           11 Family Dipteridaceae Seward & E.Dale (1901)
           12 Family Gleicheniaceae C.Presl (1825) - forking ferns