Class Conjugatophyceae Engl. (1892) see Class Zygnematophyceae Round ex Guiry (2013)
   Order Zygnematales - filamentous conjugates and saccoderm desmids
     Family Zygnemataceae (Meneghini) Kützing (1843)
       01 Genus Transeauina Guiry (2013)
       02 Genus Lloydina A. Ahmad & M. Goldstein (1972) [monotypic]
       03 Genus Mougeotia C.Agardh (1824), nom. cons.
       04 Genus Mougeotiella Yamagishi (1963)
       05 Genus Mougeotiopsis Palla (1894) [monotypic]
       06 Genus Neozygnema Yamagishi (1963) [monotypic]
       07 Genus Sangirellum A.K. Mahato & P. Mahato (1994) [monotypic]
       08 Genus Sirocladium Randhawa (1941)
       09 Genus Sirogonium Kütz. (1843), nom. cons.
       10 Genus Spirogyra Link (1820), nom. cons.
       11 Genus Temnogametum West & G.S.West (1897)
       12 Genus Temnogyra I.F. Lewis (1925)
       13 Genus Trigonum A.K. Mahato & P. Mahato (1994) [monotypic]
       14 Genus Zygnema C.Agardh (1817), nom. cons.
       15 Genus Zygnemopsis (Skuja) Transeau (1934)
       16 Genus Zygogonium Kütz. (1843), nom. cons.