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 Leptolyngbyales Strunecký & Mareš (2023) [paraphyletic] see Order Leptolyngbyales Strunecký and Mareš 2023
       Family Leptolyngbyaceae Komárek, J. Kaštovský, J. Mareš & J.R.Johans. (2014) [sister group to excluded taxa] see Family Leptolyngbyaceae (Anagnostidis and Komárek 1988) Komárek et al. 2014
         Genus Chamaethrix P. Dvořák, P. Hašler, P. Pitelková, P. Tabáková, D.A. Casamatta & A. Poulíčková (2017) see Genus Chamaethrix Dvořák et al. 2017