Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
496 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 496 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 3. #13116556 | C2 | semidirect |
| 4. #13115752 | C2 | semidirect |
| 5. #13112932 | C2 | semidirect |
| 6. #13112924 | C2 | semidirect |
| 13. C2×C13×SD32 | C4 | semidirect |
| 33. C2×C13×Q16 | C2×C4 | semidirect |
| 51. C2×C13×C16 | C2×C4 | semidirect |
| 153. C2×SD32 | Dic13 | semidirect |
| 188. C2×Q16 | C2×Dic13 | semidirect |
| 209. C2×C16 | C2×Dic13 | semidirect |
| 269. C13 | #13019 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123688 | 2 |
| C2×#11718155 | 2 |
| #13116556 | 2 |
| #13115752 | 2 |
| #13112932 | 2 |
| #13112924 | 2 |
| C22×C13×SD32 | 2 |
| #13019 | 13 |