Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
436 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 2. #14527394 | C2 | semidirect |
| 3. #14527345 | C2 | semidirect |
| 4. #14527322 | C2 | semidirect |
| 5. #14526684 | C2 | semidirect |
| 6. #14526666 | C2 | semidirect |
| 7. C17×#2968 | C2 | semidirect |
| 9. #11763219 | C4 | semidirect |
| 10. #11763199 | C4 | semidirect |
| 11. #11763175 | C4 | semidirect |
| 12. #11763168 | C4 | semidirect |
| 181. #2968 | D17 | semidirect |
| 296. C17 | #9432 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539483 | 2 |
| #14527394 | 2 |
| #14527345 | 2 |
| #14527322 | 2 |
| #14526684 | 2 |
| #14526666 | 2 |
| C17×#2968 | 2 |
| #9432 | 17 |