Family Notacanthidae Rafinesque 1810
Notacantini Rafinesque 1810b:34 [ref. 3595] (ordine)? Notacanthus [Notacantus inferred from the stem; latinized to Notacanthia by Rafinesque 1815:89 [ref. 3584] (subfamily); latinized to Notacanthi by Günther 1861c:544 [ref. 1964]; considered valid with this authorship by Gill 1893b:133 [ref. 26255], by Nolf 1985:41 [ref. 32698], by Patterson 1993:625 [ref. 32940] and by Sheiko 2013:28 [ref. 32944] Article 11.7.2]
Campylodontoidae Gill 1861a:34 [ref. 1766] (family) Kampylodon or Campilodon [as Campylodon, name must be corrected Article 32.5.3; ever corrected?]
Lipogenyidae Gill 1893b:133 [ref. 26255] (family) Lipogenys Goode & Bean 1895 [genus inferred from the stem, Article 11.7.1.1; no valid type genus, not available, Article 11.7.1.1]
Polyacanthonotinae Goode & Bean 1895b:457 [ref. 1847] (subfamily) Polyacanthonotus [priority given to Polyacanthonotinae over Lipogenyidae by Greenwood 1977:100]
Lipogenyidae Gill in Goode & Bean 1895b:457, 469 [ref. 1847] (family) Lipogenys [family name sometimes seen as Lipogenidae]