Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
460 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 4. #13115587 | C2 | semidirect |
| 5. #13112943 | C2 | semidirect |
| 6. #13112915 | C2 | semidirect |
| 7. C2×C13×#365 | C2 | semidirect |
| 22. #11718101 | C4 | semidirect |
| 43. C2×C13×C16 | C2×C4 | semidirect |
| 48. #88058 | C2×C4 | semidirect |
| 97. C2×#365 | D13 | semidirect |
| 185. C2×C16 | C4×D13 | semidirect |
| 239. C13 | #12956 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718530 | 2 |
| C2×#11718087 | 2 |
| #13116553 | 2 |
| #13115587 | 2 |
| #13112943 | 2 |
| #13112915 | 2 |
| C2×C13×#365 | 2 |
| #12956 | 13 |