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Acervulariidae
Alveolitidae
Amplexidae
Antiphyllidae
Arachnophyllidae
Auloheliidae
Aulophyllidae
Auloporidae
Axophyllidae
Bethanyphyllidae
Bothrophyllidae
Calceolidae
Calostylidae
Chonophyllidae
Coccoserididae
Coenitidae
Craspedophyllidae
Cyathaxoniidae
Cyathophyllidae
Cyathopsidae
Cyrtophyllidae
Cystiphyllidae
Digonophyllidae
Disphyllidae
Ditoecholasmatidae
Durhaminidae
Ekvasophyllidae
Endamplexidae
Endophyllidae
Entelophyllidae
Eridophyllidae
Expressophyllidae
Favositidae
Goniophyllidae
Gorskyitidae
Hadrophyllidae
Halliidae
Halysitidae
Hapsiphyllidae
Heliolitidae
Holmophyllidae
Ketophyllidae
Kleopatrinidae
Kodonophyllidae
Laccophyllidae
Lambelasmatidae
Lichenariidae
Lindstroemiidae
Lithostrotionidae
Lonsdaleiidae
Lophophyllidae
Lophophyllidiidae
Lophotichiidae
Lykophyllidae
Metriophyllidae
Micheliniidae
Mucophyllidae
Multithecoporidae
Pachyporidae
Palaeacidae
Palaeocyclidae
Paleoalveolitidae
Paleocyclidae
Pentaphyllidae
Petalaxidae
Petraiidae
Phillipsastraeidae
Phillipsastreidae
Plasmoporidae
Plerophyllidae
Polycoeliidae
Pseudofavositidae
Ptenophyllidae
Ptychophyllidae
Pycnostylidae
Pyrigiidae
Roemeriidae
Romingeriidae
Spongophyllidae
Stauriidae
Stelliporellidae
Stereolasmatidae
Streptelasmatidae
Stringophyllidae
Syringolitidae
Syringophyllidae
Tetradiidae
Tetraporellidae
Theciidae
Thecostegitidae
Timorphyllidae
Tryplasmatidae
Uraliniidae
Verbeekiellidae
Waagenophyllidae
Zaphrentidae
Zaphrentoididae