Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
414 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 89 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. #13113400 | C2 | semidirect |
| 5. #13112734 | C2 | semidirect |
| 6. #13112718 | C2 | semidirect |
| 7. C13×#1531 | C2 | semidirect |
| 14. #11718750 | C4 | semidirect |
| 15. #11718747 | C4 | semidirect |
| 16. #11718743 | C4 | semidirect |
| 17. #11718741 | C4 | semidirect |
| 139. #1531 | D13 | semidirect |
| 334. C13 | #9431 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125539 | 2 |
| #13123830 | 2 |
| #13113400 | 2 |
| #13113375 | 2 |
| #13112734 | 2 |
| #13112718 | 2 |
| C13×#1531 | 2 |
| #9431 | 13 |