1. Genus Abylopsis Chun, 1888
2. Genus Bassia L. Agassiz, 1862
3. Genus Enneagonum Quoy & Gaimard, 1827
4. Genus Abylopsoides Sears, 1953 accepted as Abylopsis Chun, 1888 (based on four abberrant pathological anterior nectophores never found again)
5. Genus Aglaisma Eschscholtz, 1829 accepted as Abylopsis Chun, 1888
6. Genus Aglaismoides Huxley, 1859 accepted as Abylopsis Chun, 1888
7. Genus Aglaja Eschscholtz, 1825 accepted as Abylopsis Chun, 1888 (invalid junior homonym of Aglaja Renier, 1807 [Mollusca])
8. Genus Calpe Quoy & Gaimard, 1827 accepted as Abylopsis Chun, 1888 ( preoccupied by Calpe Treitschke 1825 [Lepidoptera])
9. Genus Chunia Mayer, 1900 accepted as Abylopsis Chun, 1888
10. Genus Cuboides Quoy & Gaimard, 1827 accepted as Enneagonum Quoy & Gaimard, 1827 (synonym)
11. Genus Halopyramis Chun, 1888 accepted as Enneagonum Quoy & Gaimard, 1827 (synonym)
12. Genus Parasphenoides Bedot, 1896 accepted as Bassia L. Agassiz, 1862 (unaccepted > junior subjective synonym)
13. Genus Plethosoma Lesson & Garnot, 1826 accepted as Abylopsis Chun, 1888
14. Genus Pseudabylopsis Sears, 1953 accepted as Abylopsis Chun, 1888 (an aberrant pathological anterior nectophore, perhaps from a specimen of Abylopsis; never found again)
15. Genus Pyramis Otto, 1823 accepted as Abylopsis Chun, 1888 (preoccupied by Pyramis Bolten 1798 [Mollusca])
16. Genus Sphenoides Huxley, 1859 accepted as Bassia L. Agassiz, 1862

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