Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
442 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 442 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 |
|---|---|---|
| 1. #13123907 | C2 | semidirect |
| 2. #13113471 | C2 | semidirect |
| 3. #13113383 | C2 | semidirect |
| 4. #13113383 | C2 | semidirect |
| 5. #13112708 | C2 | semidirect |
| 6. #13112701 | C2 | semidirect |
| 10. C13×#498 | C4 | semidirect |
| 11. C13×#493 | C4 | semidirect |
| 12. C13×#486 | C4 | semidirect |
| 13. C13×#486 | C4 | semidirect |
| 152. #498 | Dic13 | semidirect |
| 153. #493 | Dic13 | semidirect |
| 154. #486 | Dic13 | semidirect |
| 155. #486 | Dic13 | semidirect |
| 274. C13 | #9417 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123907 | 2 |
| #13113471 | 2 |
| #13113383 | 2 |
| #13112708 | 2 |
| #13112701 | 2 |
| C13×#3184 | 2 |
| #9417 | 13 |