Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
476 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 117 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. #13123753 | C2 | semidirect |
| 2. C2×#11718155 | C2 | semidirect |
| 3. #13116564 | C2 | semidirect |
| 4. #13115747 | C2 | semidirect |
| 5. #13112940 | C2 | semidirect |
| 6. #13112921 | C2 | semidirect |
| 13. C2×C13×SD32 | C4 | semidirect |
| 14. C2×C13×D16 | C4 | semidirect |
| 161. C2×SD32 | Dic13 | semidirect |
| 162. C2×D16 | Dic13 | semidirect |
| 285. C13 | #13036 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123753 | 2 |
| C2×#11718155 | 2 |
| #13116564 | 2 |
| #13115747 | 2 |
| #13112940 | 2 |
| #13112921 | 2 |
| C2×C13×#509 | 2 |
| #13036 | 13 |