After Parker, 1982, and de Laubenfels, 1955

<==o Tetractinomorpha
   |--o Astrophorida [incl. Choristida (not recognized by Parker, 1982)]]
   |  |-- †Craniellidae [Choristida]
   |  |-- †Scolioraphididae [Choristida]
   |  |?- Ancorinidae [Choristida] [not recognized by Parker, 1982]
   |  |?- Ophiraphiditidae [Choristida]
   |  |-- Stellettidae
   |  |-- Geodiidae [Choristida] [not recognized by Parker, 1982]
   |  |-- Calthropellidae
   |  |-- Pachastrellidae
   |  |-- Theneidae
   |  |-- Thrombidae
   |  `-- Jaspidae
   |--o Spirophorida
   |  `-- Tetillidae
   |-- Lithistida
   |--o Hadromerida [incl. Epipolasida (not recognized by Parker, 1982)]
   |  |-- †Piratiidae
   |  |-- †Corralioidae [Epipolasida]
   |  |-- †Choiidae [Epipolasida]
   |  |?- Sollasellidae [Epipolasida] [not recognized by Parker, 1982]
   |  |-- Suberitidae
   |  |-- Polymastiidae
   |  |-- Spirastrellidae
   |  |-- Clionidae
   |  |-- Latrunculiidae
   |  |-- Placospongiidae
   |  |-- Timeidae
   |  |-- Tethyidae [Epipolasida]
   |  |-- Chondrosiidae
   |  `-- Stylocordylidae
   |--o Axinellida
   |  |-- Axinellidae
   |  |-- Bubaridae
   |  |-- Trachycladidae
   |  |-- Desmoxyidae
   |  |-- Hemiasterellidae
   |  |-- Sigmaxinellidae
   |  |-- Raspailiidae
   |  |-- Euryponidae
   |  `-- Rhabderemiidae
   `--o Agelasida
      `-- Agelasidae

Reference(s):