Order Cryptonemiales Schmitz 1892
Parent taxon: Rhodophyceae according to E. Wnendt-Juber 1990
Sister taxa: Aoujgaliaceae, Archaeolithophyllales, Calcifoliida, Corallinales, Florideae, Foliophycus, Gymnocodiaceae
Subtaxa: Archaeolithophyllaceae, Peyssonneliaceae, Solenoporaceae
Ecology: stationary epifaunal "photoautotroph"