Order 4352.
1702 conjugacy classes of subgroups.
The subgroup lattice has 348 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #14537890 | C2 | semidirect |
| 2. #14537886 | C2 | semidirect |
| 3. #14537879 | C2 | semidirect |
| 4. Q8×#63223 | C2 | semidirect |
| 8. #11762940 | C22 | semidirect |
| 9. #11762940 | C22 | semidirect |
| 10. Q8×#3622 | C22 | semidirect |
| 253. C17 | #60249 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14537890 | 2 |
| #14537886 | 2 |
| #14537879 | 2 |
| Q8×#63223 | 2 |
| #14537422 | 2 |
| #14537417 | 2 |
| C2×C17×#533 | 2 |
| #60249 | 17 |