Order 15616.
666 conjugacy classes of subgroups.
The subgroup lattice has 398 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 8. #16840783 | C4 | semidirect |
| 9. #16840782 | C4 | semidirect |
| 24. C2×C4⋊#92418 | C4 | semidirect |
| 26. C2×#14519687 | C4 | semidirect |
| 27. C2×C4⋊C8×C61 | C4 | semidirect |
| 215. C2×C4⋊C8 | #6923 | semidirect |
| 226. C61 | #7930 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D61⋊#432 | 2 |
| C4×#14519856 | 2 |
| #21460661 | 2 |
| C2×#16839818 | 2 |
| #7930 | 61 |