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 Nodosilineales Strunecký & Mareš (2023) see Order Nodosilineales Strunecký and Mareš 2023
       Family Cymatolegaceae Strunecký & Mareš (2023) see Family Cymatolegaceae Strunecký and Mareš 2023
         ?Genus Lithomyxa M.A. Howe (1932) see Genus Lithomyxa Howe 1932