Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
438 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 72 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. #13130244 | C2 | semidirect |
| 4. #13130114 | C2 | semidirect |
| 5. #13129740 | C2 | semidirect |
| 6. #13129707 | C2 | semidirect |
| 20. C13×#484 | C4 | semidirect |
| 21. #11718711 | C4 | semidirect |
| 22. #11718629 | C4 | semidirect |
| 27. #11718399 | C4 | semidirect |
| 196. #484 | #261 | semidirect |
| 357. C13 | #9331 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131715 | 2 |
| #13130263 | 2 |
| #13130244 | 2 |
| #13130114 | 2 |
| #13129740 | 2 |
| #13129707 | 2 |
| #13125671 | 2 |
| #9331 | 13 |