Viridiplantae Cavalier-Smith, 1981 - green plants see Subkingdom Viridiplantae Caval.-Sm. (1981)
   Chlorophyta Pascher (1914) - green algae
     core chlorophytes
       Class Chlorophyceae Wille (1884) - chlorophytes
         Sphaeropleales Luerssen (1877)
           Genus Desmodesmus (R.H. Chodat, 1926) S.S. An, T. Friedl & E.Hegewald (1999)