Belongs within: Vetigastropoda.
The Lepetelloidea are a group of small limpets found in deep-sea environments, characterised by an undivided shell muscle and a gill comprising a row of leaflets. The shell is low to steeply conical with the apex central or posterior to the middle and with a round or oval aperture (Knight et al. 1960).
<==LepetelloideaBR17
|--Bathyphytophilus Moskalev 1978 [Bathyphytophilidae]BR05
| `--*B. caribaeus Moskalev 1978BR17
|--Caymanabyssia Moskalev 1976 [Caymanabyssiidae, Caymanabyssiinae]BR05
| `--*C. spina Moskalev 1976BR17
|--Osteopelta Marshall 1987 [Osteopeltidae]BR05
| `--*O. mirabilis Marshall 1987BR17
|--Pyropelta McLean & Haszprunar 1987 [Pyropeltidae]BR05
| `--*P. musaica McLean & Haszprunar 1987BR17
|--Cocculinella Thiele 1909 [Cocculinellidae]BR05
| `--*C. minutissima (Smith 1904) [=Acmaea minutissima]KC60
|--Addisoniidae [Addisonioidea]BR05
| |--Helicopelta Marshall 1996 [Helicopeltinae]BR05
| | `--*H. rostricola Marshall 1996BR17
| `--Addisonia Dall 1882 [Addisoniinae]BR05
| |--*A. paradoxa Dall 1882KC60
| |--A. enodis Simone 1996S11
| `--A. excentricaPP64
|--Lepetellidae [Lepetellinae]BR05
| |--Sablea minuta Allen 1970TTE93
| |--Lepetella Verrill 1880BR05 [=Leptella (l. c.) nec Hall & Clarke 1892 nec Reuter 1894 nec Enderlein 1901M-WW65]
| | `--*L. tubicola Verrill & Smith 1880BR17
| `--Tecticrater Dell 1956KC60
| |--*T. compressa (Suter 1908)P61 (see below for synonymy)
| |--T. cervae (Fleming 1948)P61 [=Cocculina cervaeD56]
| |--T. finlayi (Powell 1937)P61 [=Tectisumen finlayiD56]
| `--T. subcompressa (Powell 1937)P61 [=Tectisumen subcompressaD56]
`--PseudococculinidaeBR05
|--Copulabyssia riosi Leal & Simone 2000S11
|--Kaiparapelta singularis Marshall 1986TTE93
|--Pseudococculina Schepman 1908BR05
| |--*P. rugosoplicata Schepman 1908 [=Cocculina (*Pseudococculina) rugosoplicata]KC60
| `--P. rimula Simone & Cunha 2003S11
`--Notocrater Finlay 1927BR05, P61 (see below for synonymy)
|--*N. craticulata (Suter 1908) [=Cocculina craticulata]P61
|--N. maxwelli Marshall 1986TTE93
`--N. meridionalis (Hedley 1903)W93
Notocrater Finlay 1927BR05, P61 [incl. Coccopygia Dall 1889 non Reichenbach 1862KC60, Dallia Jeffreys 1883 non Bean 1878KC60]
*Tecticrater compressa (Suter 1908)P61 [=Cocculina compressaP61, Lepetella (*Tecticrater) compressaKC60, Tectisumen compressaF27]
*Type species of generic name indicated
References
[BR05] Bouchet, P., & J.-P. Rocroi. 2005. Classification and nomenclator of gastropod families. Malacologia 47 (1–2): 1–397.
[BR17] Bouchet, P., J.-P. Rocroi, B. Hausdorf, A. Kaim, Y. Kano, A. Nützel, P. Parkhaev, M. Schrödl & E. E. Strong. 2017. Revised classification, nomenclator and typification of gastropod and monoplacophoran families. Malacologia 61 (1–2): 1–526.
[D56] Dell, R. K. 1956. The archibenthal Mollusca of New Zealand. Dominion Museum Bulletin 18: 1–235.
[F27] Finlay, H. J. 1927. A further commentary on New Zealand molluscan systematics. Transactions and Proceedings of the New Zealand Institute 57: 320–485.
[KC60] Knight, J. B., L. R. Cox, A. M. Keen, R. L. Batten, E. L. Yochelson & R. Robertson. 1960. Gastropoda: systematic descriptions. In: Moore, R. C. (ed.) Treatise on Invertebrate Paleontology pt I. Mollusca 1: Mollusca—General Features, Scaphopoda, Amphineura, Monoplacophora, Gastropoda—General Features, Archaeogastropoda and some (mainly Paleozoic) Caenogastropoda and Opisthobranchia pp. I169–I331. Geological Society of America, and University of Kansas Press.
[M-WW65] Muir-Wood, H., & A. Williams. 1965. Strophomenida. In: Moore, R. C. (ed.) Treatise on Invertebrate Paleontology pt H. Brachiopoda vol. 1 pp. H361–H521. The Geological Society of America, Inc.: Boulder (Colorado), and The University of Kansas Press: Lawrence (Kansas).
[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.
[P61] Powell, A. W. B. 1961. Shells of New Zealand: An illustrated handbook 4th ed. Whitcombe and Tombs Limited: Christchurch.
[S11] Simone, L. R. L. 2011. Phylogeny of the Caenogastropoda (Mollusca), based on comparative morphology. Arquivos de Zoologia 42 (4): 161–323.
[TTE93] Tracey, S., J. A. Todd & D. H. Erwin. 1993. Mollusca: Gastropoda. In: Benton, M. J. (ed.) The Fossil Record 2 pp. 131–167. Chapman & Hall: London.
[W93] Wilson, B. 1993. Australian Marine Shells vol. 1. Prosobranch Gastropods. Part One. Odyssey Publishing: Kallaroo (Western Australia).