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 Acaryochloridales Strunecký & Mareš (2023), nom. inval. see Order Acaryochloridales Strunecký and Mareš 2023 nom. inval.
       1 Family Acaryochloridaceae Komárek, Kaštovský, Mareš & Johansen (2014), nom. inval. [monotypic] see Family Acaryochloridaceae Komárek et al. 2014 nom. inval.
       2 Family Thermosynechococcaceae Komárek, Strunecký & J.R.Johans. (2020) [monotypic] see Family Thermosynechococcaceae Komárek et al. 2020