Domain Eucaryota
   Subdomain Chlorota Doweld (2001)
     Kingdom Chlorobiota C.Jeffrey ex Doweld (2001) - plants see Subkingdom Viridiplantae Caval.-Sm. (1981)
       Subkingdom Lycopodiobiotina Doweld (2001)
         Phylum Isoëtophyta Doweld (2001)
           Subphylum Isoëtophytina Doweld (2001)
             Class †Lepidocarpopsida Doweld (2001)
               Order †Pleuromeyales Zimmerm. (1959) [monotypic] see Order Pleuromeiales F.A. Barkley (1939)
                 Family †Pleuromeyaceae Potonié (1901) see Family Pleuromeiaceae Potonié (1901)
                   Genus †Pleuromeya Corda ex Giebel (1853), orth. rej. see Genus Pleuromeia Corda ex Giebel (1853), orth. cons.