1. Leaves broadly oblong-lingulate or spathulate, rounded-obtuse at the apex; leaf margins crenulate at the apex................................................................................................................................................................................ 2
1. Leaves oblong-ovate, ovate-lingulate, or lingulate, often acute or narrowly obtuse at the apex; leaf margins irregularly coarsely dentate..................................................................................................................................... 3
2. Plants small, usually 1–2 cm long, simple or 1–2-pinnately branched, flagelliform branches often present; median leaf cells ca. 15 µm × ca. 7 µm......................................................................................... 2. H. exiguum
2. Plants rather large, to 10 cm long or longer, 2–3-pinnately branched; flagelliform branches rare; median leaf cells 25–35 µm × 6–7 µm............................................................................................. 5. H. microdendron
3. Leaves usually short and broad, obtuse at the apex.................................................................... 3. H. flabellatum
3. Leaves usually elongate, oblong-ovate, often acute, sometimes rounded-obtuse at the apex........................... 4
4. Leaf cells papillose................................................................................................................... 7. H. papillosum
4. Leaf cells smooth................................................................................................................................................. 5
5. Leaf apices rounded-obtuse at the apex............................................................................... 6. H. montagneanum
5. Leaf apices acute or narrowly obtuse at the apex.................................................................................................. 6
6. Costae thick, mostly reaching just below leaf apex.......................................................... 1. H. crassinervium
6. Costae thin, usually vanishing above mid-leaf................................................................................................... 7
7. Leaves nearly similar in width throughout, acute or narrowly obtuse at the apex............... 4. H. ligulaefolium
7. Leaves usually narrowed at the base, acute at the apex........................................................ 8. H. scalpellifolium