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)
               1 Order †Jurinodendrales Doweld (2001) see Order Protolepidodendrales Koidzumi (1939)
               2 Order †Leptophloeales Lemoigne (1982) see Order Protolepidodendrales Koidzumi (1939)
               3 Order †Lepidocarpales G.M. Smith (1938)
               4 Order †Pleuromeyales Zimmerm. (1959) [monotypic] see Order Pleuromeiales F.A. Barkley (1939)