71 genera are assigned to the class IRREGULARES
| Order | Genus | FOP | FOS | LOP | LOS |
|---|
| ARCHAEOCYATHIDA | Agastrocyathus | Cm | Atda-l | Cm | Atda-u |
| ARCHAEOCYATHIDA | Alaskacoscinus | Cm | Boto-l | Cm | Boto-l |
| ARCHAEOCYATHIDA | Alconeracyathus | Cm | Atda-l | Cm | Boto-l |
| ARCHAEOCYATHIDA | Antarcticocyathus | Cm | Tojo-u | Cm | Dres-u |
| ARCHAEOCYATHIDA | Anthomorpha | Cm | Boto-l | Cm | Boto-l |
| ARCHAEOCYATHIDA | Archaeocyathus | Cm | Atda-u | Cm | Tojo-u |
| ARCHAEOCYATHIDA | Archaeopharetra | Cm | Atda-u | Cm | Boto-u |
| ARCHAEOCYATHIDA | Archaeosycon | Cm | Boto-l | Cm | Tojo-l |
| ARCHAEOCYATHIDA | Ardrossacyathus | Cm | Boto-l | Cm | Boto-u |
| ARCHAEOCYATHIDA | Arrythmocricus | Cm | Boto-l | Cm | Tojo-l |
| ARCHAEOCYATHIDA | Ataxiocyathus | Cm | Boto-u | Cm | Boto-u |
| ARCHAEOCYATHIDA | Auliscocyathus | Cm | Atda-u | Cm | Boto-u |
| ARCHAEOCYATHIDA | Beltanacyathus | Cm | Atda-u | Cm | Atda-u |
| ARCHAEOCYATHIDA | Bottonaecyathus | Cm | Atda-u | Cm | Boto-l |
| ARCHAEOCYATHIDA | Cambrocyathells | Cm | Tomm-l | Cm | Boto-l |
| ARCHAEOCYATHIDA | Cellicyathus | Cm | Boto-u | Cm | Tojo-l |
| ARCHAEOCYATHIDA | Changicyathus | Cm | Boto-l | Cm | Boto-l |
| ARCHAEOCYATHIDA | Chankacyathus | Cm | Boto-l | Cm | Boto-u |
| ARCHAEOCYATHIDA | Chouberticyathus | Cm | Atda-l | Cm | Boto-l |
| ARCHAEOCYATHIDA | Claruscoscinus | Cm | Boto-u | Cm | Tojo-l |
| ARCHAEOCYATHIDA | Copleicyathus | Cm | Atda | Cm | Atda |
| ARCHAEOCYATHIDA | Dictyocyathus | Cm | Tomm-u | Cm | Boto-l |
| ARCHAEOCYATHIDA | Dictyofavus | Cm | Atda-l | Cm | Atda-u |
| ARCHAEOCYATHIDA | Dictyosycon | Cm | Atda-l | Cm | Atda-u |
| ARCHAEOCYATHIDA | Eremitacyathus | Cm | Atda-l | Cm | Atda-u |
| ARCHAEOCYATHIDA | Fenestrocyathus | Cm | Boto-l | Cm | Boto-u |
| ARCHAEOCYATHIDA | Fragilicyathus | Cm | Boto-l | Cm | Boto-l |
| ARCHAEOCYATHIDA | Gabrielsocyathus | Cm | Boto-l | Cm | Boto-l |
| ARCHAEOCYATHIDA | Gatagacyathus | Cm | Boto-l | Cm | Boto-l |
| ARCHAEOCYATHIDA | Graphoscyphus | Cm | Atda-u | Cm | Boto-u |
| ARCHAEOCYATHIDA | Jugalicyathus | Cm | Boto-l | Cm | Boto-l |
| ARCHAEOCYATHIDA | Kechikacyathus | Cm | Boto-l | Cm | Boto-l |
| ARCHAEOCYATHIDA | Keriocyathus | Cm | Boto-l | Cm | Boto-l |
| ARCHAEOCYATHIDA | Kruseicnema | Cm | Boto-u | Cm | Boto-u |
| ARCHAEOCYATHIDA | Landercyathus | Cm | Boto-l | Cm | Boto-l |
| ARCHAEOCYATHIDA | Loculicyathus | Cm | Boto-l | Cm | Boto-u |
| ARCHAEOCYATHIDA | Maiandrocyathus | Cm | Boto-u | Cm | Boto-u |
| ARCHAEOCYATHIDA | Markocyathus | Cm | Boto-l | Cm | Boto-l |
| ARCHAEOCYATHIDA | Metaldetes | Cm | Atda-u | Cm | Tojo-l |
| ARCHAEOCYATHIDA | Metyacyathellus | Cm | Atda-u | Cm | Tojo-l |
| ARCHAEOCYATHIDA | Mikhnocyathus | Cm | Atda-u | Cm | Boto-l |
| ARCHAEOCYATHIDA | Molybdocyathus | Cm | Boto-l | Cm | Boto-l |
| ARCHAEOCYATHIDA | Neoloculicyathus | Cm | Atda-l | Cm | Boto-l |
| ARCHAEOCYATHIDA | Okulitchicyathus | Cm | Tomm-l | Cm | Atda-u |
| ARCHAEOCYATHIDA | Paracoscinus | Cm | Boto-u | Cm | Tojo-l |
| ARCHAEOCYATHIDA | Paranacyathus | Cm | Boto-l | Cm | Boto-u |
| ARCHAEOCYATHIDA | Protopharetra | Cm | Atda-u | Cm | Boto-l |
| ARCHAEOCYATHIDA | Pseudosyringocnema | Cm | Boto-l | Cm | Boto-u |
| ARCHAEOCYATHIDA | Pycnoidocoscinus | Cm | Boto-u | Cm | Boto-u |
| ARCHAEOCYATHIDA | Pycnoidocyathus | Cm | Boto-u | Cm | Tojo-u |
| ARCHAEOCYATHIDA | Retillamina | Cm | Boto-l | Cm | Tojo-l |
| ARCHAEOCYATHIDA | Sakhacyathus | Cm | Tomm-u | Cm | Tomm-u |
| ARCHAEOCYATHIDA | Shiveligocyathus | Cm | Boto-l | Cm | Boto-l |
| ARCHAEOCYATHIDA | Sigmofungia | Cm | Boto-l | Cm | Boto-l |
| ARCHAEOCYATHIDA | Spinosocyathus | Cm | Tomm-u | Cm | Boto-l |
| ARCHAEOCYATHIDA | Spirillicyathella | Cm | Boto-l | Cm | Boto-u |
| ARCHAEOCYATHIDA | Stevocyathus | Cm | Boto-l | Cm | Boto-l |
| ARCHAEOCYATHIDA | Syringocnema | Cm | Boto-u | Cm | Boto-u |
| ARCHAEOCYATHIDA | Syringothalamus | Cm | Boto-l | Cm | Boto-l |
| ARCHAEOCYATHIDA | Tabulacyathellus | Cm | Atda-l | Cm | Boto-l |
| ARCHAEOCYATHIDA | Taeniaecyathellus | Cm | Boto-l | Cm | Boto-u |
| ARCHAEOCYATHIDA | Tchojacyathus | Cm | Atda-u | Cm | Atda-u |
| ARCHAEOCYATHIDA | Tollicyathus | Cm | Boto-l | Cm | Boto-l |
| ARCHAEOCYATHIDA | Tuvacnema | Cm | Boto-l | Cm | Boto-l |
| ARCHAEOCYATHIDA | Usloncyathus | Cm | Atda-u | Cm | Boto-l |
| ARCHAEOCYATHIDA | Warrriootacyathus | Cm | Atda-u | Cm | Atda-u |
| ARCHAEOCYATHIDA | Williamicyathus | Cm | Boto-l | Cm | Boto-l |
| ARCHAEOCYATHIDA | Zunyicyathus | Cm | Boto-l | Cm | Boto-l |
| KAZAKHSTANICYATHIDA | Altaicyathus | Cm | Boto-l | Cm | Boto-l |
| KAZAKHSTANICYATHIDA | Bicoscinus | Cm | Boto-l | Cm | Boto-l |
| KAZAKHSTANICYATHIDA | Korovinella | Cm | Boto-l | Cm | Boto-l |
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FOP = Period of first occurrence
FOS = Stage of first occurrence
LOP = Period of last occurrence
LOS = Stage of last occurrence
Stage abbreviations follow Sepkoski (2002).