Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
434 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 434 conjugacy classes of subgroups — too many to draw. Only its 97 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. #13114884 | C2 | semidirect |
| 4. #13114880 | C2 | semidirect |
| 5. #13112966 | C2 | semidirect |
| 6. #13112964 | C2 | semidirect |
| 10. C23×#1055 | C4 | semidirect |
| 16. #11718868 | C4 | semidirect |
| 22. #11718660 | C4 | semidirect |
| 24. #11718658 | C4 | semidirect |
| 346. C13 | #12805 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123531 | 2 |
| #13116477 | 2 |
| #13114884 | 2 |
| #13114880 | 2 |
| #13112966 | 2 |
| #13112964 | 2 |
| C13×#2120 | 2 |
| #12805 | 13 |