Order 15616.
788 conjugacy classes of subgroups.
The subgroup lattice has 404 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 10. #16840767 | C4 | semidirect |
| 12. C4×#11758213 | C4 | semidirect |
| 14. C4×C4⋊#6923 | C4 | semidirect |
| 17. #16840698 | C4 | semidirect |
| 22. #16839613 | C4 | semidirect |
| 25. #16839608 | C4 | semidirect |
| 27. C61×#376 | C4 | semidirect |
| 226. #376 | #6923 | semidirect |
| 229. C61 | #8048 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21462498 | 2 |
| C4×#14519856 | 2 |
| #21460700 | 2 |
| #21448158 | 2 |
| #8048 | 61 |