Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
430 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 430 conjugacy classes of subgroups — too many to draw. Only its 107 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. #13115785 | C2 | semidirect |
| 3. #13113553 | C2 | semidirect |
| 5. #13112705 | C2 | semidirect |
| 6. #13112691 | C2 | semidirect |
| 10. C13×#497 | C4 | semidirect |
| 11. C13×#491 | C4 | semidirect |
| 173. #497 | Dic13 | semidirect |
| 174. #491 | Dic13 | semidirect |
| 316. C13 | #9376 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123975 | 2 |
| #13115785 | 2 |
| #13113553 | 2 |
| #13113361 | 2 |
| #13112705 | 2 |
| #13112691 | 2 |
| C13×#3218 | 2 |
| #9376 | 13 |