Kingdom [Plantae] Haeckel (1866) - plants
   Division Pteridophyta Schimp. (1879) see Subphylum Pteridophytina (Eichler) Cavalier-Sm. (1998)
     1 Class †Rhyniopsida Krysht. (1925) [monotypic]
     2 Class †Zosterophyllopsida Foster & Gifford (1974) [monotypic]
     3 Class †Horneophytopsida S.V.Meyen (1978) [monotypic] see Class Langiophytopsida Doweld (2001)
     4 Class †Trimerophytopsida A.S.Foster & Gifford (1974) [monotypic]
     5 Order †Barinophytales Høeg (1967), nom. inval. [monotypic] see Order Barinophytales Høeg ex Doweld (2001)
     6 Class Lycopsida - club-mosses see Class Lycopodiopsida Bartl. (1830)
     7 Class Equisetopsida C.Agardh (1825) - horsetails see Subclass Equisetidae Warm. (1883)
     8 Class Filicopsida C.Agardh (1822) - ferns see Class Polypodiopsida Cronquist, Takht. & Zimmerm. (1966)
     9 Class †Progymnospermopsida Beck (1960) see Clade Pan-Spermatophyta Cantino & Donoghue 2007 [Cantino, Doyle & Donoghue 2020]