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 Rivulariaceae Frank (1886) see Family Rivulariaceae Frank 1886
         ?Genus Isactis G. Thuret ex Bornet & Flahault (1886) see Genus Isactis Thuret ex Bornet and Flahault 1886