Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
676 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 676 conjugacy classes of subgroups — too many to draw. Only its 93 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. #14537834 | C2 | semidirect |
| 3. #14528727 | C2 | semidirect |
| 4. #14528695 | C2 | semidirect |
| 5. #14527276 | C2 | semidirect |
| 6. #14526630 | C2 | semidirect |
| 7. C17×#1298 | C2 | semidirect |
| 12. #11762967 | C4 | semidirect |
| 13. #11762962 | C4 | semidirect |
| 15. #11762950 | C4 | semidirect |
| 16. #11762945 | C4 | semidirect |
| 253. #1298 | D17 | semidirect |
| 385. C17 | #9037 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538006 | 2 |
| #14537834 | 2 |
| #14528727 | 2 |
| #14528695 | 2 |
| #14527276 | 2 |
| #14526630 | 2 |
| C17×#1298 | 2 |
| #9037 | 17 |