After Parker, 1982

<==o Scleractinia [Madreporaria] (stonecorals; kivikorallit)
   |--o Astrocoeniina
   |  |-- Acroporidae
   |  |-- Astrocoeniidae
   |  |-- Pocilloporidae
   |  `-- Thamnasteriidae
   |--o Caryophylliina
   |  |-- Caryophylliidae
   |  |-- Flabellidae
   |  `-- Guyniidae
   |--o Dentrophylliina
   |  `-- Dendrophylliidae
   |--o Faviina
   |  |-- Anthemiphylliidae
   |  |-- Faviidae
   |  |-- Meandrinidae
   |  |-- Merulinidae
   |  |-- Mussidae
   |  |-- Oculinidae
   |  |-- Pectiniidae
   |  |-- Rhizangiidae
   |  `-- Astrangiidae
   `--o Fungiina
      |-- Agariciidae
      |-- Fungiidae
      |-- Micrabaciidae
      |-- Poritidae
      `-- Siderastreidae

Reference(s):