ARCHAEOCYATHIDA, Okulitch, 1935: Cup two walled, of solitary or low- to high-modular organization, with septal type of development; inner wall of centripetal type; intervallum with taeniae, pseudosepta, pseudotaenial network, dictyonal network, calicles, or syringes; segmented or independent (membrane and plate) tabulae may be present
LOCULICYATHINA Zhuravleva, 1955: Cup modular (pseudocolonies formed by interparietal budding) or rarely solitary; intervallum with pseudosepta; synapticulae and plate tabulae may be present.
ANTHOMORPHINA Okulitch, 1935: Cup solitary or modular (pseudocolonies formed by external budding); intervallum with pseudosepta and membrane tabulae.
ARCHAEOCYATHINA Okulitch, 1935: Cup solitary or modular (latter by external budding and/or longitudinal subdivision; encrusting forms develop by addition of new central cavities); intervallum with taeniae, pseudosepta, or pseudotaenial or dictyonal network; segmented tabulae may be present.
DICTYOFAVINA Debrenne, 1991: Skeleton solitary or modular, latter as branching or massive pseudocolonies (both by intercalicular budding); intervallum with calicles.
SYRINGOCNEMINA Okulitch, 1935: Skeleton solitary or modular, latter as branching pseudocolonies (by longitudinal fission); intervallum with syringes.
Orders | |_ Suborders inside the Archaeocyathida | |_ Superfamillies inside the Loculicyathina {Anthomorphina , Archaeocyathina , Dictyofavina , Syringocnemina} | |_ Superfamillies inside the Archaeocyathina {Loculicyathina , Anthomorphina , Dictyofavina , Syringocnemina} | |_ Superfamillies inside the Dictyofavina {Loculicyathina , Anthomorphina , Archaeocyathina , Syringocnemina} | |_ Superfamillies inside the Syringocnemina {Loculicyathina , Anthomorphina , Archaeocyathina , Dictyofavina} | |_ Famillies inside the Loculicyathina {Anthomorphina , Archaeocyathina , Dictyofavina , Syringocnemina} | |_ Famillies inside the Anthomorphina {Loculicyathina , Archaeocyathina , Dictyofavina , Syringocnemina} | |_ Famillies inside the Archaeocyathina {Loculicyathina , Anthomorphina , Dictyofavina , Syringocnemina} | |_ Famillies inside the Dictyofavina {Loculicyathina , Anthomorphina , Archaeocyathina , Syringocnemina} | |_ Famillies inside the Syringocnemina {Loculicyathina , Anthomorphina , Archaeocyathina , Dictyofavina}