Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
498 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 498 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 |
|---|---|---|
| 1. #13123975 | C2 | semidirect |
| 2. #13115764 | C2 | semidirect |
| 3. #13113550 | C2 | semidirect |
| 4. #13113361 | C2 | semidirect |
| 5. #13112705 | C2 | semidirect |
| 6. #13112691 | C2 | semidirect |
| 10. C13×#496 | C4 | semidirect |
| 11. C13×#490 | C4 | semidirect |
| 192. #496 | Dic13 | semidirect |
| 193. #490 | Dic13 | semidirect |
| 350. C13 | #9378 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123975 | 2 |
| #13115764 | 2 |
| #13113550 | 2 |
| #13113361 | 2 |
| #13112705 | 2 |
| #13112691 | 2 |
| C13×#3217 | 2 |
| #9378 | 13 |