Order 15616.
606 conjugacy classes of subgroups.
The subgroup lattice has 410 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 7. #16840783 | C4 | semidirect |
| 9. #16840778 | C4 | semidirect |
| 24. #16839786 | C4 | semidirect |
| 26. M16×Dic61 | C4 | semidirect |
| 27. C61×#423 | C4 | semidirect |
| 221. #423 | #6923 | semidirect |
| 232. C61 | #8105 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21462496 | 2 |
| #21462268 | 2 |
| #21460719 | 2 |
| #21454451 | 2 |
| #8105 | 61 |