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)
         Order †Rhyniales Němejc (1950) [monotypic]
           Family †Rhyniaceae Kidst. & Lang (1920)
             1 Genus †Huvenia Hass & W.Remy
             2 Genus †Rhynia Kidst. & W.H.Lang (1917)
             3 Genus †Sciadophyton G. Steinmann (1929)
             4 Genus †Stockmansella Fairon-Dem. (1986)