After Parker, 1982 and Szaniawski, 2002, 2005

<==o Chaetognatha [incl. †Protoconodonta] (arrow worms; nuolimadot)
   |?- †Eognathacantha ercainella Chen & Huang, 2002 [assigment doubtful]
   |--o †Protoconodonta [paraphyletic assemblage of basal chaetognaths?]
   |  |-- †Coelocerodontus Ethington, 1959
   |  |-- †Protohertzina Missarzhevsky, 1973
   |  `--o †Phakelodus
   |     |-- †P. tenuis (Müller, 1959)
   |     `-- †P. elongatus (Zhang, in An et al., 1983)
   `--o  Chaetognatha sensu stricto (nuolimadot)
      |?- †Titerina rokycanensis Kraft & Mergl, 1989 [very dubious]
      |?- †Paucijaculum samamithion Schram, 1973
      |-- †Onesia disjuncta Walcott, 1911
      `--o Sagittoidea
         |?- Archeterokrohnia rubra Casanova, 1986 [Heterokrohniidae]
         |?-o Heterokrohnia Ritter-Záhony, 1911
         |  |-- H. longidentata Hagen & Kapp, 1985
         |  `-- H. longicaudata Hagen & Kapp, 1986
         |?-o Paraspadella Salvini Plawen, 1987
         |  |-- P. getoi
         |  `-- P. schizoptera (Conant, 1895)
         |?- Serratosagitta Tokioka, 1965
         |?- Flaccisagitta Tokioka, 1965
         |?- Parasagitta Tokioka, 1965
         |?- Tokiokaispadella Kassatkina, 1980
         |--o Phragmophora
         |  |--o Spadellidae
         |  |  `--o Spadella Langerhans, 1880
         |  |     `-- S. gaetanoi Alvariño, 1978
         |  `--o Eukrohniidae
         |     `-- Eukrohnia Ritter-Záhony, 1909
         `--o Aphragmophora
            |--o Ctenodontina
            |  |--o Sagittidae
            |  |  `-- Sagitta Quoy & Gaimard, 1827
            |  `-- Pterosagittidae
            `--o Flabellodontina
               `-- Krohnittidae

Reference(s):