Position in a system
| system | Vitae - living organisms |
| domain | Eukaryota Whittaker & Margulis, 1978 - lifeforms with nucletic cells |
| superregnum | Bikonta - bikonts |
| Corticata | |
| Archaeplastida | |
| kingdom | Plantae Haeckel - plants |
| divisio | Anthocerophyta Stotler & Crandall-Stotler - hornworts |
| class | Anthocerotopsida de Bary ex Jancz |
| subclass | Notothylatidae Duff, J.C. Villarreal, Cargill et Renzaglia |
| order | Notothyladales Hyvönen & Piippo |