Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
462 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 103 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. #13117642 | C2 | semidirect |
| 3. #13113438 | C2 | semidirect |
| 5. #13112702 | C2 | semidirect |
| 6. #13112691 | C2 | semidirect |
| 10. C13×#501 | C4 | semidirect |
| 11. C13×#490 | C4 | semidirect |
| 180. #501 | Dic13 | semidirect |
| 181. #490 | Dic13 | semidirect |
| 323. C13 | #9382 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117642 | 2 |
| #13115756 | 2 |
| #13113438 | 2 |
| #13113383 | 2 |
| #13112702 | 2 |
| #13112691 | 2 |
| C13×#3234 | 2 |
| #9382 | 13 |