The following groups are the result of Dr. Till's work
| aizoides | - Group 4 |
| andicola | - Group 2 |
| andicola sensu Wittmack | see gilliesii |
| angulosa | - Group 2 |
| brealitoensis | - Group 4 |
| bryoides | - Group 3 |
| caliginosa | - Group 1 |
| capillaris | - Group 5 |
| castellanii | - Group 5 |
| coarctata | see pedicellata |
| compressa | see gilliesii |
| copynii | - Group 3 |
| cordobensis | see virescens |
| cotagaitensis | - Group 1 |
| crocata v. tristis | see caliginosa |
| dependens | see virescens |
| erecta | - Group 4 |
| funebris | - Group 4 |
| gilliesii | - Group 2 |
| gilliesii ss. polysticha | - Group 2 |
| hieronymi | see capillaris |
| hirta | - Group 2 |
| incana | see capillaris |
| "incerta" | see capillaris |
| kuehhasii | - Group 5 |
| loliacea | - Group 3 |
| landbeckii | - Group 6 |
| landbeckii ss.andina | - Group 6 |
| landbeckii ss.andina v. rigidor | - Group 6 |
| lichenoides | see virescens |
| mandonii | - Group 2 |
| mollis | - Group 6 |
| myosura | - Group 2 |
| myosura v. saxicola | see gilliesii |
| nappii | see myosura |
| pedicellata | - Group 4 |
| permutata | see capillaris |
| porongoensis | - Group 1 |
| propinqua | see virescens |
| pusilla | see capillaris |
| quadriflora | see loliacea |
| rectangula | - Group 4 |
| recurvata | - Group 6 |
| retorta | - Group 2 |
| spiralipetala | - Group 3 |
| stolpi | see virescens |
| tenebra | - Group 1 |
| tricholepis | - Group 3 |
| tricholepis v. macrophylla | see spiralipetala |
| undulata | see loliacea |
| usneoides | - Group 6 |
| virescens | - Group 5 |
| williamsii | see virescens |