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)
                   1 Genus †Pleuromeya Corda ex Giebel (1853), orth. rej. see Genus Pleuromeia Corda ex Giebel (1853), orth. cons.