Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
414 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 89 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #14527399 | C2 | semidirect |
| 5. #14526684 | C2 | semidirect |
| 6. #14526665 | C2 | semidirect |
| 7. C17×#1518 | C2 | semidirect |
| 9. #11763215 | C4 | semidirect |
| 10. #11763201 | C4 | semidirect |
| 11. #11763177 | C4 | semidirect |
| 12. #11763171 | C4 | semidirect |
| 176. #1518 | D17 | semidirect |
| 286. C17 | #9431 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539487 | 2 |
| #14537773 | 2 |
| #14527399 | 2 |
| #14527320 | 2 |
| #14526684 | 2 |
| #14526665 | 2 |
| C17×#1518 | 2 |
| #9431 | 17 |