Belongs within: Tubulariida.
The Corynoidea are hydrozoans in which both stenotele and desmoneme nematocysts are present in medusae but only stenoteles are present in polyps (Petersen 1979).
Characters (Petersen 1979): Medusa with stenoteles and desmonemes; polyp with stenoteles only, capitate oral tentacles may be present in one whorl or spread down hydranth, aboral tentacles filiform (often reduced); mesogloeal lamella continuous over tentacle bases, separating endoderm of gastric cavity from that of tentacles.
<==Corynoidea
|--Dicyclocoryne Annandale 1915 [incl. Bicorona; Dicyclocorynidae]P79
| |--‘Bicorona’ elegans Millard 1966P79
| `--D. filamenta (Annandale 1907)P79
`--+--+--HydrocorynidaeP79
| `--SolanderiaVV77 [SolanderiidaeP79]
| |--S. crosslandi (Thornely 1908)VV77
| |--S. minima (Hickson 1903) [=Ceratella minima]VV77
| `--S. secunda (Inaba 1829)VV77
`--+--+--HalocorynidaeP79
| `--+--Cladonema [Cladonematidae]P79
| | `--C. radiatumM62
| `--EleutheriaM62 [EleutheriidaeP79]
| `--E. dichotomaM62
`--CorynidaeP79
|--Staurocoryne Rotch 1872P79
|--Stauridiosarsia Mayer 1910P79
|--Syncoryne Ehrenberg 1834P79
| `--S. pulchellaH04
|--Dipurena McCrady 1857P79
| |--D. dolichogasterH04
| |--‘Sarsia’ gemmifera Forbes 1848P79
| `--D. halterataG90
|--Sarsia Lesson 1843P79
| |--S. eximia (Allman 1859)G90, P79 (see below for synonymy)
| |--S. gracilisG90
| |--S. princeps (Haeckel 1879)P79
| |--S. strangulataA64
| `--S. tubulosa (Sars 1835)P79
`--Coryne Gaertner 1774P79
|--C. aculeataA64
|--C. epizoicaPP64
|--C. fritillariaA64
|--C. glandulosaG20
|--C. gravataA64
|--C. implexaA64
|--C. mirabilisA64
|--C. muscoidesPP64
|--C. ochidaiB79
|--‘Stauridiosarsia’ producta (Wright 1858)P79
|--‘Sarsia’ prolifera Forbes 1848P79
|--C. pusillaC-SC03
|--C. squamataG20
|--C. tubulosaKBC03
`--C. vaginataA64
Sarsia eximia (Allman 1859)G90, P79 [=Coryne eximiaA64, Syncoryne eximiaA64; incl. Sarsia radiata von Lendenfeld 1885HJ08]
*Type species of generic name indicated
References
[A64] Allman, G. J. 1864. Report on the present state of our knowledge of the reproductive system in the Hydroida. Report of the British Association for the Advancement of Science 33: 351–426.
[B79] Buss, L. W. 1979. Habitat selection, directional growth and spatial refuges: why colonial animals have more hiding places. In: Larwood, G., & B. R. Rosen (eds) Biology and Systematics of Colonial Organisms pp. 459–497. Academic Press: London.
[C-SC03] Cavalier-Smith, T., & E. E.-Y. Chao. 2003. Phylogeny of Choanozoa, Apusozoa, and other Protozoa and early eukaryote megaevolution. Journal of Molecular Evolution 56: 540–563.
[G20] Goldfuss, G. A. 1820. Handbuch der Naturgeschichte vol. 3. Handbuch der Zoologie pt 1. Johann Leonhard Schrag: Nürnberg.
[G90] Goy, J. 1990. Preliminary observations on the zooplankton of Shark Bay, Western Australia, with emphasis on medusae and description of a new rhizostome jellyfish (Cnidaria, Scyphozoa). In: Berry, P. F., S. D. Bradshaw & B. R. Wilson (eds) Research in Shark Bay: Report of the France-Australe Bicentenary Expedition Committee pp. 107–113. Western Australian Museum.
[H04] Haeckel, E. 1899–1904. Kunstformen der Natur. Bibliographisches Institut: Leipzig und Wien.
[HJ08] Huisman, J. M., D. S. Jones, F. E. Wells & T. Burton. 2008. Introduced marine biota in Western Australian waters. Records of the Western Australian Museum 25 (1): 1–44.
[KBC03] Kashin, I. A., E. V. Bagaveeva & S. F. Chaplygina. 2003. Fouling communities of hydrotechnical constructions in Nakhodka Bay (Sea of Japan). Russian Journal of Marine Biology 29: 267–283.
[M62] Monniot, F. 1962. Recherches sur les graviers a Amphioxus de la région de Banyuls-sur-Mer. Vie et Milieu 13: 231–322.
[PP64] Peres, J. M., & J. Picard. 1964. Nouveau manuel de bionomie benthique de la mer Mediterranee. Recueil des Travaux de la Station Marine d’Endoume, Bulletin 31 (27): 5–137.
[P79] Petersen, K. W. 1979. Development of coloniality in Hydrozoa. In: Larwood, G., & B. R. Rosen (eds) Biology and Systematics of Colonial Organisms pp. 105–139. Academic Press: London.
[VV77] Vervoort, W., & P. Vasseur. 1977. Hydroids from French Polynesia with notes on distribution and ecology. Zoologische Verhandelingen 159: 1–98.