Phylum Cyanobacteria Garcia-Pichel et al. (2020) see Phylum Cyanobacteriota Oren et al. 2022
   Class Cyanophyceae Hauck (1885) see Class Chroococcophyceae Hollerbach et al. 1953
     Order Nostocales Borzì (1914) see Order Nostocales corrig. Borzì 1914
       Family Leptobasaceae Elenkin (1917), nom. illeg. see Family Nostocaceae Eichler 1886
         Genus Calochaete T.Hauer, M.Bohunická & R.Mühlsteinová (2013) see Genus Calochaete Hauer et al. 2013