Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
442 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 442 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 |
|---|---|---|
| 2. #13123906 | C2 | semidirect |
| 3. #13113384 | C2 | semidirect |
| 4. #13113383 | C2 | semidirect |
| 5. #13112707 | C2 | semidirect |
| 6. #13112702 | C2 | semidirect |
| 7. C13×#1536 | C2 | semidirect |
| 12. #11718749 | C4 | semidirect |
| 13. #11718740 | C4 | semidirect |
| 14. #11718734 | C4 | semidirect |
| 15. #11718731 | C4 | semidirect |
| 110. #1536 | D13 | semidirect |
| 274. C13 | #9417 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125570 | 2 |
| #13123906 | 2 |
| #13113384 | 2 |
| #13113383 | 2 |
| #13112707 | 2 |
| #13112702 | 2 |
| C13×#1536 | 2 |
| #9417 | 13 |