Order Corallinales Silva and Johansen 1986
Parent taxon: Rhodophyceae according to D. Bassi 1998
Sister taxa: Aoujgaliaceae, Archaeolithophyllales, Calcifoliida, Cryptonemiales, Florideae, Foliophycus, Gymnocodiaceae
Subtaxa: Archaeolithothamnium, Archamphiroa, Corallinaceae, Craticulaceae, Graticula, Halysis, Hapalidiaceae, Nematothallopsis, Sporolithaceae, Subterraniphyllum
Ecology: stationary epifaunal "photoautotroph"