After Parker, 1982, with genera and species from “Wikispecies” and “The Animal Diversity Web”

<==o Hydrocorallia
   |--o Milleporina [=? Coronata: Zancleoidea]
   |  `--o Milleporidae (Fire corals; tulikorallit)
   |     `--o Millepora
   |        |-- M. alcicornis (fire coral)
   |        |-- M. boschmai
   |        |-- M. braziliensis
   |        |-- M. complanata (bladed fire coral)
   |        |-- M. dichotoma
   |        |-- M. exaesa
   |        |-- M. foveolata
   |        |-- M. intricata
   |        |-- M. latifolia
   |        |-- M. moniliformis
   |        |-- M. murrayi
   |        |-- M. nitida
   |        |-- M. platyphylla
   |        |-- M. squarrosa
   |        |-- M. striata
   |        |-- M. tenella
   |        |-- M. tenera
   |        |-- M. tuberosa
   |        `-- M. xishaensis
   `?-o Stylasterina [=? Filifera in partim]
      `--o Stylasteridae
         |-- Crypthelia
         |-- Errina
         |-- Lepidopora
         |-- Pliobothrus
         |-- Stenohelia
         `-- Stylaster

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