1. Genus Ceratophyllia von Fritsch, 1878 †
2. Genus Cricocyathus Quenstedt, 1879 †
3. Genus Cycloria Reuss, 1854 †
4. Genus Dactylosmilia d'Orbigny, 1849 †
5. Genus Desmocladia Reuss, 1874 †
6. Genus Dictuophyllia Blainville, 1830 †
7. Genus Diplocoeniastraea d'Achiardi, 1880 †
8. Subfamily Faviinae Milne Edwards & Haime, 1857
   1. Genus Colpophyllia Milne Edwards & Haime, 1848
   2. Genus Diploria Milne Edwards & Haime, 1848
   3. Genus Eugyra de Fromentel, 1857 †
   4. Genus Favia De Blainville, 1820
   5. Genus Lamellastraea Duncan, 1868 †
   6. Genus Manicina Ehrenberg, 1834
   7. Genus Mussismilia Ortmann, 1890
   8. Genus Pseudodiploria Fukami, Budd & Knowlton, 2012
   9. Genus Ceriosmilia Schuster, 2002 † accepted as Colpophyllia Milne Edwards & Haime, 1848 (unaccepted > junior subjective synonym)
   10. Genus Clypeofavia de Angelis d'Ossat, 1894 † accepted as Favia De Blainville, 1820 (unaccepted > junior subjective synonym)
   11. Genus Favia Milne Edwards & Haime, 1857 accepted as Favia De Blainville, 1820 (unaccepted > junior homonym)
   12. Genus Favia Oken, 1815 accepted as Favia De Blainville, 1820 (unaccepted > unavailable name)
   13. Genus Fissicella Dana, 1848 † accepted as Favia De Blainville, 1820 (unaccepted > junior subjective synonym)
   14. Genus Podasteria Ehrenberg, 1834 accepted as Manicina Ehrenberg, 1834 (unaccepted > junior subjective synonym)
   15. Genus Protomussa Matthai, 1928 accepted as Mussismilia Ortmann, 1890 (unaccepted > junior subjective synonym)
   16. Genus Stegiastrea Meneghini, 1857 † accepted as Favia De Blainville, 1820 (unaccepted > junior subjective synonym)
   17. Genus Teleiophyllia Duncan, 1864 accepted as Manicina Ehrenberg, 1834 (unaccepted > junior subjective synonym)
9. Genus Hadrophyllia Budd & Johnson, 1999 †
10. Genus Indosmilia Gerth, 1933 †
11. Genus Liptodendron Eliášová, 1991 †
12. Subfamily Mussinae Ortmann, 1890
    1. Genus Antillia Duncan, 1864 †
    2. Genus Antillophyllia Vaughan, 1932 †
    3. Genus Astrogyra Felix, 1900 †
    4. Genus Circophyllia Milne Edwards & Haime, 1848 †
    5. Genus Cyclomussa Wells, 1941 †
    6. Genus Isophyllia Milne Edwards & Haime, 1851
    7. Genus Leptomussa d'Achiardi, 1867 †
    8. Genus Matejkia Eliášová, 1974 †
    9. Genus Mussa Oken, 1815
    10. Genus Mycetophyllia Milne Edwards & Haime, 1848
    11. Genus Scolymia Haime, 1852
    12. Genus Syzygophyllia Reuss, 1860 †
    13. Genus Thysanus Duncan, 1863 †
    14. Genus Variabilifavia Barta-Calmus, 1973 †
    15. Genus Lithodendron Schweigger, 1819 accepted as Mussa Oken, 1815 (unaccepted > junior subjective synonym)
13. Genus Myriophyllia d'Orbigny, 1849 †
14. Genus Petrophylliella Felix, 1925 †
15. Genus Psammophora de Fromentel, 1879 †
16. Genus Rhabdophylliopsis Alloiteau & Tissier, 1958 †
17. Genus Stylocora Reuss, 1872 †
18. Genus Barbadiastrea Wells, 1945 † accepted as Favia De Blainville, 1820 (unaccepted > junior subjective synonym)
19. Genus Diplothecophyllia Alloiteau, 1952 † accepted as Cycloria Reuss, 1854 † (unaccepted > junior subjective synonym)
20. Genus Isophyllastraea Matthai, 1928 accepted as Isophyllia Milne Edwards & Haime, 1851 (unaccepted > junior subjective synonym, misspelling)
21. Genus Isophyllastrea Matthai, 1928 accepted as Isophyllia Milne Edwards & Haime, 1851 (unaccepted > junior subjective synonym)
22. Genus Leptaxis Reus, 1868 † accepted as Cricocyathus Quenstedt, 1879 † (unaccepted > junior subjective synonym)
23. Genus Lithodendrum Agassiz, 1846 † accepted as Mussa Oken, 1815 (unaccepted > junior subjective synonym)
24. Genus Maeandrites Houttuyn, 1772 accepted as Colpophyllia Milne Edwards & Haime, 1848 (unaccepted > junior subjective synonym)
25. Genus Meandroria Alloiteau, 1952 † accepted as Cycloria Reuss, 1854 † (unaccepted > junior subjective synonym)
26. Genus Metastraea Milne Edwards & Haime, 1857 † accepted as Favites Link, 1807 (unaccepted > junior subjective synonym)
27. Genus Metastrea Milne Edwards & Haime, 1857 † accepted as Favites Link, 1807 (unaccepted > junior subjective synonym)
28. Genus Orbignygyra Alloiteau, 1952 † accepted as Cycloria Reuss, 1854 † (unaccepted > junior subjective synonym)
29. Genus Prohydnophyllia Reig Oriol, 1994 † accepted as Cycloria Reuss, 1854 † (unaccepted > junior subjective synonym)
30. Genus Pseudomyriophyllia Morycowa, 1971 † accepted as Eugyra de Fromentel, 1857 † (junior synonym)

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