Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
504 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 99 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. #13123892 | C2 | semidirect |
| 3. C2×#11718043 | C2 | semidirect |
| 4. #13113197 | C2 | semidirect |
| 5. #13112723 | C2 | semidirect |
| 6. #13112679 | C2 | semidirect |
| 7. C13×#1504 | C2 | semidirect |
| 18. #11718707 | C4 | semidirect |
| 19. #11718705 | C4 | semidirect |
| 21. #11718697 | C4 | semidirect |
| 22. #11718695 | C4 | semidirect |
| 149. #1504 | D13 | semidirect |
| 391. C13 | #9264 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125597 | 2 |
| #13123892 | 2 |
| C2×#11718043 | 2 |
| #13113197 | 2 |
| #13112723 | 2 |
| #13112679 | 2 |
| C13×#1504 | 2 |
| #9264 | 13 |