Kingdom Protoctista Hogg, 1860
   Phylum Chlorophyta Pascher (1914) - green algae
     Class Chlorophyceae Wille (1884) - chlorophytes
       Order Chlamydomonadales F.E. Fritsch
         1 Family Chlamydomonadaceae F. Stein (1878)
         2 Family Phacotaceae Francé (1894)
         3 Family Haematococcaceae G.M. Sm. (1950) see Family Stephanosphaeraceae Korshikov (1938)
         4 Family Carteriaceae Pascher (1912)