Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
456 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 456 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 |
|---|---|---|
| 2. C2×#11718157 | C2 | semidirect |
| 4. #13115752 | C2 | semidirect |
| 5. #13112940 | C2 | semidirect |
| 6. #13112921 | C2 | semidirect |
| 13. C2×C13×Q32 | C4 | semidirect |
| 14. C2×C13×SD32 | C4 | semidirect |
| 160. C2×Q32 | Dic13 | semidirect |
| 161. C2×SD32 | Dic13 | semidirect |
| 280. C13 | #13035 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123753 | 2 |
| C2×#11718157 | 2 |
| #13116564 | 2 |
| #13115752 | 2 |
| #13112940 | 2 |
| #13112921 | 2 |
| C2×C13×#510 | 2 |
| #13035 | 13 |