| | ! |
Frullaniales
| D. Bell & D.G. Long | Amer. J. Bot. 110(11, e16249): 14 | 2023 |
| | |
Jungermanniales
| H. Klinggr. | Höh. Crypt. Preuss. 10 | 1858 |
| | ! |
Lejeuneales
| Bechteler, A.M. Sierra & D.G. Long | Amer. J. Bot. 110(11, e16249): 14 | 2023 |
| | ! |
Myliales
| D.G. Long & D. Bell | Amer. J. Bot. 110(11, e16249): 14 | 2023 |
| | |
Porellales
| Schljakov | Bot. Zhurn. (Moscow & Leningrad) 57(4): 505 | 1972 |
| | |
Ptilidiales
| Schljakov | Bot. Zhurn. (Moscow & Leningrad) 57(4): 501 | 1972 |
| | ** |
Trichotemnomatales
| J.J. Engel ex R.M. Schust. | Nova Hedwigia Beih. 120: 1–2 | 2021 |