Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
538 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 538 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 |
|---|---|---|
| 1. C2×#11718813 | C2 | semidirect |
| 2. C2×#11718155 | C2 | semidirect |
| 3. C2×#11718158 | C2 | semidirect |
| 4. #13115730 | C2 | semidirect |
| 5. #13112935 | C2 | semidirect |
| 6. #13112915 | C2 | semidirect |
| 13. C2×C13×SD32 | C4 | semidirect |
| 14. C2×C13×D16 | C4 | semidirect |
| 34. C2×C13×Q16 | C2×C4 | semidirect |
| 40. C2×C13×D8 | C2×C4 | semidirect |
| 55. C2×C13×C16 | C2×C4 | semidirect |
| 167. C2×SD32 | Dic13 | semidirect |
| 168. C2×D16 | Dic13 | semidirect |
| 206. C2×Q16 | C2×Dic13 | semidirect |
| 212. C2×D8 | C2×Dic13 | semidirect |
| 230. C2×C16 | C2×Dic13 | semidirect |
| 295. C13 | #13037 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718813 | 2 |
| C2×#11718155 | 2 |
| C2×#11718158 | 2 |
| #13115730 | 2 |
| #13112935 | 2 |
| #13112915 | 2 |
| C2×C13×#509 | 2 |
| #13037 | 13 |