Order 4352.
850 conjugacy classes of subgroups.
The subgroup lattice has 436 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 15. #11763440 | C4 | semidirect |
| 17. #11763437 | C4 | semidirect |
| 25. C17×#544 | C4 | semidirect |
| 33. #10587677 | Q8 | semidirect |
| 39. C2×#63243 | Q8 | semidirect |
| 43. C2×#63242 | Q8 | semidirect |
| 222. #544 | #595 | semidirect |
| 298. C17 | #11393 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544484 | 2 |
| #14544469 | 2 |
| #14544464 | 2 |
| #14544451 | 2 |
| #14542188 | 2 |
| #11393 | 17 |