After Carroll, 1988 and Nelson, 1994

<==o Aulopiformes (aulopikalat)
   |--o †Enchodontoidei
   |  |--o †Cimolichthyoidea
   |  |  |-- †Dercetidae
   |  |  |-- †Cimolichthyidae
   |  |  `-- †Prionolepididae
   |  |--o †Enchodontoidea
   |  |  |-- †Enchodontidae
   |  |  |?- †Tomognathidae
   |  |  `-- †Eurypholidae
   |  |-- †Halecidae [Halecoidea]
   |  `--o †Ichthyotringoidea
   |     |-- †Ichthyotringidae
   |     `-- †?Cheirothricidae
   |-- Giganturidae [Giganturoidei] (teleskooppikalat)
   |-- Aulopodidae [Aulopoidei] (aulopit)
   |--o Chlorophthalmoidei
   |  |-- Chlorophthalmidae (vihersilmäkalat)
   |  |-- Ipnopidae ()?
   |  |-- Scopelarchidae (helmisilmät)
   |  `-- Notosudidae[Scopelosauridae] ()?
   `--o Alepisauroidei
      |-- Synodontidae (sisiliskokalat)
      |-- Pseudotrichonotidae ()?
      |-- Paralepididae (barrakudinat)
      |-- Anotopteridae (keihäskalat)
      |-- Evermannellidae ()?
      |-- Omosudidae (leukavalokalat)
      `-- Alepisauridae (liskokalat)

Reference(s):