Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
420 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 85 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. #13113474 | C2 | semidirect |
| 5. #13112709 | C2 | semidirect |
| 6. #13112700 | C2 | semidirect |
| 7. C13×#1515 | C2 | semidirect |
| 12. #11718749 | C4 | semidirect |
| 13. #11718746 | C4 | semidirect |
| 14. #11718742 | C4 | semidirect |
| 15. #11718739 | C4 | semidirect |
| 110. #1515 | D13 | semidirect |
| 265. C13 | #9415 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125555 | 2 |
| #13123906 | 2 |
| #13113474 | 2 |
| #13113382 | 2 |
| #13112709 | 2 |
| #13112700 | 2 |
| C13×#1515 | 2 |
| #9415 | 13 |