Family Triacanthodidae Gill 1862

Triacanthodinae Gill 1862k:235 [ref. 1664] (subfamily) Triacanthodes

Paratriacanthiformes Bleeker 1865b:9 [ref. 417] (subfamily)? Triacanthodes [also Bleeker 1865–69:86 [ref. 416]; no stem of the type genus, not available, Article 11.7.1.1]

Halimochirurginae Fowler 1934a:364 [ref. 1416] (subfamily) Halimochirurgus

Hollardiinae Tyler 1968:62, 73 [ref. 6438] (subfamily) Hollardia [stem changed to Hollard- by Santini & Tyler 2003:603 [ref. 27547], confirmed by Nelson 2006:453 [ref. 32486]; correct stem is Hollardi-]