Domain Eucaryota
   Subdomain Chlorota Doweld (2001)
     Kingdom Chlorobiota C.Jeffrey ex Doweld (2001) - plants see Subkingdom Viridiplantae Caval.-Sm. (1981)
       Subkingdom Pteridobiotina Britton & A. Br. (1896)
         Superphylum †Psilophytanae Doweld (2001)
           Phylum †Rhyniophyta Cronquist, Takht. & Zimmerm. (1966) [monotypic]
             Class †Rhyniopsida Krysht. (1925)
               1 Order †Rhyniales Němejc (1950) [monotypic]
               2 Order †Taeniocradales Němejc (1963) [monotypic] see Order Langiophytales Doweld (2001)
               3 Order †Yarraviales Novák (1961) [monotypic]