• Subclass: Gleicheniatae
  • Gleicheniales (the Forked ferns)
  • Dipteridales
  • Matoniales
• Subclass: Hymenophyllatae
  • Hymenophyllales (the Filmy ferns)
• Subclass: Hymenophyllopsitae
  • Hymenophyllopsidales

The ferns in the class Gleicheniopsida were formerly all included in the order Polypodiales. However, it is clear that the ferns are much too diverse a group to be shoehorned into one order. In fact, it may be found that this class needs to be divided into at least two classes.