†class Conulata Moore and Harrington 1956
Parent taxon: Cnidaria according to S. Conway Morris and C. Menge 1992
Sister taxa: Anthozoa, Aspidella, Ausia, Cloudinidae, Crassitubus, Cubozoa, Cyclozoa, Erniettamorpha, Escumasia, Hiemalora, Hydroconozoa, Hydrozoa, Medusae, Melanofurcata, Melanosteus, Melanostylus, Myxozoa, Namacalathus, Priscapennamarina, Quadratitubus, Ramellina, Ramitubus, Scyphozoa, Sinocyclocyclicus, Spatangopsis, Vauzutsubua, Xianguangia, Zolotytsia
Subtaxa: Conularina