After Grimaldi & Engel, 2005, and Gorochov, Jarzembowski & Coram, 2006, with subfamilia and genera from “WikiSpecies”

<==o Haglidae (ambidextrous & hump-winged crickets)
   |?- †Archaeohagla
   |?- †Huabeius
   |?- †Laiyangohagla
   |?- †Mesogryllus
   |?- †Mesohagla
   |?- †Mongolohagla
   |?- †Proisfaroptera
   |?- †Shanxius
   |?- †Sinohagla
   |?- †Turkestania
   |?- †Vitimoilus
   |?- †Voltziahagla
   |?- †Zalmona
   |?- †Zeunerophlebia
   |?- †Zhemengia
   |--o †Angarohaglinae
   |  |-- †Angarohagla
   |  `-- †Microvoliopus
   |--o †Bachariinae
   |  |-- †Bacharia
   |  |-- †Paratshorkuphlebia
   |  |-- †Pseudotshorkuplebia
   |  |-- †Sharovophlebia
   |  `-- †Sogutophlebia
   |--o Cyrtophyllitinae Zeuner, 1935 [non Brunner von Wattenwyl, 1895?]
   |  |?- ?†Cyrtophyllites” cretaceus Gorochov, Jarzembowski & Coram, 2006
   |  |-- †Archaboilus Martynov, 1937; L.-M.Jur.
   |  |-- †Cyrtophyllites Oppenheim, 1888; U.Jur.
   |  |-- †Tasgorosailus Gorochov, 1990; U.Jur.-?L.Cret.
   |  `-- †Vitimoilus Gorochov, 1996; L.Cret.
   |--o †Haglopterinae
   |  `-- †Hagloptera
   |--o †Isfaropterinae
   |  `-- †Isfaroptera
   |--o †Maraginae
   |  |-- †Eumaraga
   |  |-- †Maraga
   |  |-- †Maragella
   |  |-- †Paramaraga
   |  `-- †Zamaraga
   |--o †Tshorkuphlebiinae
   |  `-- †Tshorkuphlebia
   |--o †Voliopinae
   |  |-- †Asiovoliopus
   |  |-- †Bacharovoliopus
   |  |-- †Bajanchongoria
   |  |-- †Euvoliopus
   |  |-- †Jurovoliopus
   |  |-- †Macrovoliopus
   |  |-- †Melovoliopus
   |  |-- †Mongolovoliopus
   |  |-- †Paravoliopus
   |  |-- †Phonovoliopus
   |  |-- †Phyllovoliopus
   |  |-- †Platyvoliopus
   |  |-- †Stenovoliopus
   |  |-- †Voliopellus
   |  |-- †Voliopus
   |  `-- †Zavoliopus
   `--o Haglinae [Prohaglinae; Prophalangopsidae: Cyphoderrinae Gorochov, 1988]
      |-- †Alloma
      |-- †Archihagla
      |-- †Cantohagla
      |-- †Dinohagla
      |-- †Dolichohagla
      |-- †Dulcihagla
      |-- †Euhagla
      |-- †Euspilopteron
      |-- †Hagla
      |-- †Haglomorpha
      |-- †Lyrohagla
      |-- †Microhagla
      |-- †Modihagla
      |-- †Neohagla
      |-- †Notopamphagopsis
      |-- †Prohagla
      |-- †Protohagla
      |-- †Protshorkuphlebia
      |-- †Pseudohagla
      |-- †Pseudohumbertiella
      |-- †Sharovohagla
      |-- †Sonohagla
      |-- †Tinnihagla
      |-- †Vocohagla
      |-- †Yenshania
      |-- Paracyphoderris erebeus
      `--o Cyphoderris
         |-- C. buckelli
         |-- C. monsterosa
         `-- C. strepitans

Reference(s):