Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
420 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 420 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. #13113474 | C2 | semidirect |
| 3. #13113387 | C2 | semidirect |
| 5. #13112708 | C2 | semidirect |
| 6. #13112701 | C2 | semidirect |
| 10. C13×#500 | C4 | semidirect |
| 11. C13×#492 | C4 | semidirect |
| 12. C13×#487 | C4 | semidirect |
| 13. C13×#486 | C4 | semidirect |
| 147. #500 | Dic13 | semidirect |
| 148. #492 | Dic13 | semidirect |
| 149. #487 | Dic13 | semidirect |
| 150. #486 | Dic13 | semidirect |
| 265. C13 | #9415 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123907 | 2 |
| #13113474 | 2 |
| #13113387 | 2 |
| #13113383 | 2 |
| #13112708 | 2 |
| #13112701 | 2 |
| C13×#3182 | 2 |
| #9415 | 13 |