After Carroll, 1988, Grande & Bemis, 1998, Alvarado-Ortega & Espinosa-Arrubarrena, 2008, and Cavin, 2010

<==o Neopterygii Regan, 1923 (uusviuhkaeväiset)
   |?- †Songanella Saint-Seine & Casier, 1962; L.Jur. WAf.
   `--o Halecostomi Regan, 1925
      |?- †Pycnodontiformes Berg, 1937 [Pycnodontidae sensu Carroll, 1988]
      |--o Halecomorphi Cope, 1872 sensu Grande & Bemis, 1998 (bowfin-like neopterygians; amiansukuiset kiillesuomuiset)
      |  |--+?- †Peia jurongensis Q. Li, 2009; E.Trias. SEAs.
      |  |  `-- †Parasemionotiformes Lehman, 1966
      |  `--+-- Amiiformes Hay, 1929 (bowfins; amiakalat)
      |     `-- †Ionoscopiformes Grande & Bemis, 1998 sensu Alvarado-Ortega & Espinosa-Arrubarrena, 2008
      `--+--o Ginglymodi Cope, 1872 (luuhauet ja sukulaiset; Lepisosteus and related forms)
         |  |?- †Uarbyichthys latus Jur. Aust. [Uarbyichthyidae] [a Macrosemiid?? (Frickhinger, 1995)]
         |  `--+?- †Macrosemiiformes Nelson, 2006 [Semionotiformes in partim sensu López-Arbarello, 2012]
         |     `--+-- †Kyphosichthys grandei Xu & Wu, 2012
         |        |-- †Semionotiformes Arambourg & Bertin, 1958 sensu López-Arbarello, 2012 [Semionotidae sensu Carroll, 1988]
         |        `-- Lepisosteiformes Hay, 1929 (gars; luuhauet)
         `--o Teleosteomorpha Arratia, 2000 sensu Arratia, 2013 [Teleostei Müller, 1844 sensu de Pinna, 1996]
            |--+-- †Pachycormiformes Berg, 1940
            |  `-- †Aspidorhynchiformes Bleeker, 1859
            `--+-- †Prohalecites porroi M.-L.Trias. Eu.
               `-- Teleostei Müller, 1844 sensu Arratia, 2013 (teleosteans; modernit viuhkaeväiset)


After Carroll, 1988, Grande & Bemis, 1998, and Alvarado-Ortega & Espinosa-Arrubarrena, 2008

<==o Neopterygii
   |?- †Songanella
   `--o Halecostomi
      |--o Ginglymodi
      |  |?- Lepisosteiformes
      |  `?-+?- †Uarbyichthys
      |     `-- †Macrosemiiformes
      `--+--o Halecomorphi
         |  |--+?- †Peia
         |  |  `-- †Parasemionotiformes
         |  `--+-- †Ionoscopiformes
         |     `-- Amiiformes
         `--+--+-- †Semionotiformes
            |  `-- †Pycnodontiformes
            `--o Teleostei
               |-- †Pachycormiformes
               `-- Teleostei

Reference(s):