[Class] Cyanobacteria "Stanier (1974)", nom. inval. - cyanoprokaryotes see Class Cyanophyceae Hauck (1885)
   Order Synechococcales Hoffmann, Komárek & Kaštovský (2005), nom. inval. [paraphyletic] see Order Synechococcales Hoffmann et al. 2005 nom. nud.
     Family Leptolyngbyaceae Komárek, J. Kaštovský, J. Mareš & J.R.Johans. (2014) see Family Leptolyngbyaceae (Anagnostidis and Komárek 1988) Komárek et al. 2014
       Genus Phormidesmis Turicchia, Ventura, Komárková & Komárek (2009) see Genus Phormidesmis Turicchia et al. 2009