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 Coleofasciculales Strunecký & Mareš (2023) see Order Coleofasciculales Strunecký and Mareš 2023
       Family Coleofasciculaceae Komárek, J. Kaštovský, J. Mareš & J.R.Johans. (2014) see Family Coleofasciculaceae Komárek et al. 2014
         Genus Caldora N. Engene, A. Tronholm & V.J. Paul (2015) see Genus Caldora Engene et al. 2015