| | |
Dawsoniales
| M. Fleisch. | Hedwigia 61: 400 | 1920 |
| | |
Oedipodiales
| Goffinet & W.R. Buck | Monogr. Syst. Bot. Missouri Bot. Gard. 98: 232 | 2004 |
| | |
Polytrichales
| Cavers | New Phytol. 10(1–2): 31 | 1911 |
| | |
Polytrichanae
| M. Fleisch. | Hedwigia 61(4): 400 | 1920 |
| | |
Polytrichidae
| Ochyra | Biodivers. Poland 3: 97 | 2003 |
| | |
Tetraphidales
| Cavers | New Phytol. 10(1–2): 31 | 1911 |