Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
514 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 514 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. #14537913 | C2 | semidirect |
| 3. #14529613 | C2 | semidirect |
| 4. C4×#10587496 | C2 | semidirect |
| 5. #14526674 | C2 | semidirect |
| 6. #14526616 | C2 | semidirect |
| 7. C17×#1484 | C2 | semidirect |
| 10. #11763101 | C4 | semidirect |
| 11. #11763096 | C4 | semidirect |
| 12. #11763006 | C4 | semidirect |
| 13. #11763001 | C4 | semidirect |
| 180. Dic34 | #104 | semidirect |
| 191. #1484 | D17 | semidirect |
| 299. C17 | #8970 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538838 | 2 |
| #14537913 | 2 |
| #14529613 | 2 |
| C4×#10587496 | 2 |
| #14526674 | 2 |
| #14526616 | 2 |
| C17×#1484 | 2 |
| #8970 | 17 |