Families and Genera in this order include:
Acroporidae: Acropora, Anacropora, Astreopora, Enigmopora, Montipora.
Agariciidae: Agaricia, Coeloseris, Gardineroseris, Helioseris, Leptoseris, Pachyseris, Pavona.
Anthemiphylliidae: Anthemiphyllia.
Astrocoeniidae: Stephanocoenia, Stylocoeniella.
Caryophylliidae: Anomocora, Aulocyathes, Bathycyathus, Bourneotrochus, Caryophyllia, Catalaphyllia, Ceratotrochus, Cladocora, Coenocyathus, Colangia, Concentrotheca, Conotrochus, Crispatotrochus, Dactylotrochus, Dasmosmilia, Deltocyathus, Desmophyllum, Ericiocyathus, Euphyllia, Goniocorella, Gyrosmilia, Heterocyathus, Hoplangia, Labyrinthocyathus, Lochmaeotrochus, Montigyra, Nomlandia, Oxysmilia, Paraconotrochus, Paracyathus, Phacelocyathus, Phyllangia, Physogyra, Physophyllia, Plerogyra, Polycyathus, Pourtalosmilia, Rhizosmilia, Solenosmilia, Stephanocyathus, Sympodangia, Tethocyathus, Thalamophyllia, Trochocyathus, Vaughanella.
Dendrophylliidae: Astroides, Balanophyllia, Bathypsammia, Cladopsammia, Dendrophyllia, Dichopsammia, Duncanopsammia, Eguchipsammia, Enallopsammia, Endopachys, Endopsammia, Heteropsammia, Leptosammia, Notophyllia, Rhizopsammia, Thecopsammia, Trochopsammia, Tubastraea, Turbinaria.
Faviidae: Astraeosmilia, Australogyra, Barabattoia, Caulastraea, Colpophyllia, Cyphastrea, Diploastrea, Diploria, Echinopora, Erythrastrea, Favia, Favites, Goniastrea, Leptastrea, Leptoria, Manicina, Montastraea, Moseleya, Oulastrea, Oulophyllia, Parasimplastrea, Platygyra, Plesiatrea, Solenastrea.
Flabellidae: Blastotrochus, Falcatoflabellum, Flabellum, Javania, Monomyces, Placotrochides, Placotrochus, Polymyces, Rhizotrochus, Truncatoflabellum.
Fungiacyathidae: Fungiacyathus.
Fungiidae: Cantharellus, Ctenactis, Fungia, Halomitra, Heliofungia, Herpolitha, Lithophyllon, Podabacia, Polyphyllia, Sandalolitha, Zoopidus.
Gardineriidae: Gardineria.
Guyniidae: Guynia, Pedicellocyathus, Pourtalocyathus, Schizocyathus, Stenocyathus, Temnotrochus, Truncatoguynia.
Meandriniidae: Ctenella, Dendrogyra, Dichocoenia, Meandrina.
Merulinidae: Boninastrea, Hydnophora, Merulina, Paraclavarina, Scapophyllia.
Micrabaciidae: Leptopenus, Letepsammia, Rhombopsammia, Stephanophyllia.
Mussidae: Acanthastrea, Acanthophylia, Australoamussa, Blastomussa, Cynarina, Indophyllia, Isophyllastrea, Isophyllia, Lobophyllia, Micromussa, Mussa, Mussismilia, Mycetophyllia, Scolymia, Symphyllia.
Oculinidae: Acrhelia, Archohelia, Bathelia, Cyathelia, Galaxea, Madrepora, Oculina, Schizoculina, Sclerhelia, Simplastrea.
Pectiniidae: Echinophyllia, Mycedium, Oxypora, Pectinia.
Pocilloporidae: Madracis, Palauastrea, Pocillopora, Seriatopora, Stylophora.
Poritidae: Alveopora, Goniopora, Porites, Stylaraea.
Rhizangiidae: Astrangia, Cladangia, Culicia, Oulangia.
Siderastreidae: Anomastraea, Coscinastrea, Horastrea, Plesioseris, Psammocora, Pseudosiderastrea, Siderastrea.
Trachyphiliidae: Trachyphyllia.
Turbinoliidae: Alatotrochus, Australocyathus, Conocyathus, Cryptotrochus, Cyathotrochus, Deltocyathoides, Dunocyathus, Endocyathopora, Foveolocyathus, Holcotrochus, Idiotrochus, Kionotrochus, Notocyathus, Peponocyathus, Platytrochus, Pleotrochus, Pseudocyathoceras, Sphenotrochus, Thrypticotrochus, Trematotrochus, Tropidocyathus, Turbinolia.
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