Kingdom Chlorobiota C.Jeffrey ex Doweld (2001) - plants see Subkingdom Viridiplantae Caval.-Sm. (1981)
   Subkingdom Pteridobiotina Britton & A. Br. (1896)
     Superdivision Cycadophytanae Doweld (2001) see Superphylum Cycadophytanae Doweld (2001)
       Division †Pteridospermatophyta Meyen
         Class †Dyctiopteridiopsida A.V.Novikov & B. Barabasz-Krasny (2015), orth. inval. see Class Dictyopteridiopsida Doweld (2001)
           Order †Rigbyales Doweld (2001) [monotypic]
             1 Family †Rigbyaceae J.M.Anderson & H.M.Anderson (1985), nom. cons. prop.