Kingdom Chlorobiota C.Jeffrey ex Doweld (2001) - plants see Subkingdom Viridiplantae Caval.-Sm. (1981)
   Subkingdom Lycopodiobiotina Doweld (2001)
     Division †Rhyniophyta Cronquist, Takht. & Zimmerm. (1966) see Phylum Rhyniophyta Cronquist, Takht. & Zimmerm. (1966)
       Class †Rhyniopsida Krysht. (1925)
         a Order †Rhyniales Němejc (1950) [monotypic]
         b Order †Taeniocradales Němejc (1963) [monotypic] see Order Langiophytales Doweld (2001)
         c Order †Yarraviales Novák (1961) [monotypic]
         d Order †Cooksoniales Doweld (2001)