After Garwood & Dunlop, 2011, with other taxonomy from “Wikispecies” and Wikipedia

<==o †Trigonotarbida Petrunkevitch, 1949 [Anthracomarti Karsh, 1882; Meridogastra Thorell & Lindström, 1885; Eurymarti matthew, 1895; Trigonotarbi Petrunkevitch, 1949]
   |?- †Namurotarbus
   |?- †Palaeotarbus jerami (Dunlop, 1996) Dunlop, 1999; L.Sil. WEu.
   |?- †Xenarachne
   |--o †Palaeocharinidae Hirst, 1923
   |  |-- †Aculeatarbus depressus Shear, Selden & Rolfe, 1987; M.Dev. NAm.
   |  |--o †Gelasinotarbus Shear, Selden & Rolfe, 1987; M.Dev. NAm.
   |  |  |-- †G. bifidus Shear, Selden & Rolfe, 1987
   |  |  |-- †G. bonamoae Shear, Selden & Rolfe, 1987
   |  |  |-- †G. heptops Shear, Selden & Rolfe, 1987
   |  |  `-- †G. reticulatus Shear, Selden & Rolfe, 1987
   |  |-- †Gigantocharinus szatmaryi Shear, 2000; L.Dev. NAm.
   |  |-- †Gilboarachne griersoni Shear, Selden & Rolfe, 1987; M.Dev. NAm.
   |  |--o †Palaeocharinus Hirst, 1923; E.Dev. WEu.
   |  |  |-- †P. calmani Hirst, 1923
   |  |  |-- †P. hornei (Hirst, 1923)
   |  |  |-- †P. kidstoni Hirst, 1923
   |  |  |-- †P. rhyniensis Hirst, 1923
   |  |  |-- †P. scourfieldi Hirst, 1923
   |  |  `-- †P. tuberculatus Fayers, Dunlop & Trewin, 2005
   |  `?- †Spinocharinus
   |--o †Anthracomartidae Haase, 1890 [Promygalidae Fric, 1903; Promygalidae Fric, 1904; Brachypygidae Pocock, 1911; Coryphomartidae Petrunkevitch, 1945; Pleomartidae Petrunkevitch, 1945]
   |  |--o †Anthracomartus Karsch, 1882 [taxonomic history] L.Carb. CEu. NAm.
   |  |  |-- †A. bohemica (Fric, 1901)
   |  |  |?- ?†A. buchi (Goldenberg, 1873)
   |  |  |-- †A. carcinoides (Fric, 1901) [taxonomic history]
   |  |  |-- †A. elegans (Fric, 1901)
   |  |  |-- †A. granulatus Fric, 1904
   |  |  |?- ?†A. hageni (Goldenberg, 1873)
   |  |  |-- †A. hindi Pocock, 1911 [taxonomic history]
   |  |  |-- †A. kustae (Petrunkevitch, 1953)
   |  |  |-- †A. janae (Opluštil, 1986)
   |  |  |-- †A. minor Kušta, 1884 [taxonomic history]
   |  |  |-- †A. palatinus Ammon, 1901
   |  |  |-- †A. planus (Petrunkevitch, 1949)
   |  |  |-- †A. plautus (Petrunkevitch, 1949)
   |  |  |-- †A. priesti Pocock, 1911 [taxonomic history]
   |  |  |-- †A. nyranensis (Petrunkevitch, 1953) [taxonomic history]
   |  |  |-- †A. radvanicensis (Opluštil, 1985)
   |  |  |-- †A. triangularis Petrunkevitch, 1913
   |  |  |-- †A. trilobitus Scudder, 1884
   |  |  `-- †A. voelkelianus Karsh, 1882 [type]
   |  |-- †Brachypyge carbonis Woodward, 1878; L.Carb. WEu.
   |  `-- †Maiocercus celticus Pocock, 1911; L.Carb. WEu.
   |--o †Anthracosironidae Pocock, 1903
   |  |?- †Anthracophrynus tuberculatus Andrée, 1913; L.Carb. CEu.
   |  |--o †Anthracosiro Pocock, 1903; L.Carb. Eu.
   |  |  |-- A. fritschii Pocock, 1903
   |  |  `-- A. woodwardi Pocock, 1903
   |  `-- †Arianrhoda bennetti Dunlop & Selden, 2004; E.Dev. WEu.
   |--o †Aphantomartidae Petrunkevitch, 1945 [incl. Trigonomartidae Petrunkevitch, 1949]
   |  |?- †Alkenia mirabilis Střrmer, 1970; E.Dev. CEu.
   |  |--o †Aphantomartus Pocock, 1911; E.Carb.-E.Perm. Eu., L.Carb. NAm.
   |  |  |-- †A. areolatus Pocock, 1911
   |  |  |-- †A. ilfeldicus (Scharf, 1924)
   |  |  `-- †A. pustulatus (Scudder, 1884)
   |  |?- †Elaverimartus pococki Petrunkevitch, 1953; L.Carb. WEu.
   |  |?- †Phrynomartus
   |  |?- †Planomartus krejcii (Kušta, 1883) Petrunkevitch, 1953; L.Carb. CEu. [treated as Eophrynid by Wikipedia]
   |  `?- †Trigonomartus woodruffi (Scudder, 1893); L.Carb. NAm. [nomen dubium]
   |-- †Archaeomartus Střrmer, 1970 [Archaeomartidae Poschmann & Dunlop, 2010]
   |--o †Eophrynidae Karsch, 1882
   |  |?-o †Nyranytarbus Harvey & Selden, 1995; L.Carb. CEu.
   |  |  |-- †N. hofmanni (Fric, 1901)
   |  |  `-- †N. longipes (Fric, 1901)
   |  |?- †Petrovicia proditoria Fric, 1904; L.Carb. CEu.
   |  |?- †Pleophrynus verrucosus (Pocock, 1911) Petrunkevitch, 1945a; L.Carb. CEu.
   |  |?- †Pocononia whitei (Ewing, 1930) Petrunkevitch, 1953; E.Carb. NAm.
   |  |?- †Somaspidion hammapheron Jux, 1982
   |  |?- †Stenotrogulus salmii (Stur, 1877) Fric, 1904; L.Carb. CEu.
   |  |?- †Vratislavia silesica (Roemer, 1878) Fric, 1904; L.Carb. CEu.
   |  |--o †Areomartinae
   |  |  `-- †Areomartus ovatus Petrunkevitch, 1913; L.Carb. NAm.
   |  `--o †Eophryninae Karsch, 1882
   |     `--o †Eophrynus Woodward, 1871; L.Carb. Eu.
   |        |-- †E. prestvicii (Buckland, 1837)
   |        `-- †E. udus Brauckmann, Koch & Kemper, 1985
   |--o †Kreischeriidae Haase, 1890
   |  |-- †Anzinia thevenini (Pruvost, 1919) Petrunkevitch, 1953; L.Carb. WEu.
   |  |-- †Gondwanarachne argentinensis Pinto & Hünicken, 1980: L.Carb. SSAm.
   |  |-- †Hemikreischeria geinitzi (Thevenin, 1902) Fric, 1904; L.Carb. WEu.
   |  |-- †Kreischeria wiedei Geinitz, 1882; L.Carb.CEu.
   |  `-- †Pseudokreischeria pococki (Gill, 1924) Petrunkevitch, 1953; L.Carb. WEu.
   |--o †Lissomartus Petrunkevitch, 1949; L.Carb. NAm. [Lissomartidae Dunlop, 1995]
   |  |-- †L. carbonarius (Petrunkevitch, 1913)
   |  `-- †L. schucherti (Petrunkevitch, 1913)
   `--o †Trigonotarbidae Petrunkevitch, 1949
      |--o †Archaeomartus Střrmer, 1970; E.Dev. CEu., L.Carb. CEu.
      |  |-- †A. levis Střrmer, 1970
      |  |-- †A. roessleri Dunlop & Brauckmann, 2006
      |  `-- †A. tuberculatus Střrmer, 1970
      `--o Trigonotarbus Pocock, 1911; E.Dev. CEu., L.Carb. WEu.
         |-- †T. arnoldi Petrunkevitch, 1955
         |-- †T. johnsoni Pocock, 1911
         `-- †T. stoermeri Schultka, 1991

Trigonotarbida incertae sedis:

    †‘Eophrynus’ scharfi Scharf, 1924; E.Perm. CEu.
    †Eurymartus latus Matthew, 1895; L.Carb. NAm. [nomen dubium]
    ?†Eurymartus spinulosus Matthew, 1895; L.Carb. NAm. [nomen dubium]

Reference(s):