Order 4352.
604 conjugacy classes of subgroups.
The subgroup lattice has 372 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 9. #11762833 | C4 | semidirect |
| 11. C4×#63223 | C4 | semidirect |
| 12. #11762677 | C4 | semidirect |
| 13. #11762675 | C4 | semidirect |
| 20. C17×#383 | C4 | semidirect |
| 21. C17×#382 | C4 | semidirect |
| 193. #383 | Dic17 | semidirect |
| 195. #382 | Dic17 | semidirect |
| 248. C17 | #8050 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14537417 | 2 |
| #14531182 | 2 |
| #14526670 | 2 |
| C17×#2283 | 2 |
| #8050 | 17 |