Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
414 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 95 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. #13113452 | C2 | semidirect |
| 4. #13113399 | C2 | semidirect |
| 5. #13112734 | C2 | semidirect |
| 6. #13112717 | C2 | semidirect |
| 12. #11718730 | C4 | semidirect |
| 13. #11718726 | C4 | semidirect |
| 14. #11718721 | C4 | semidirect |
| 15. #11718716 | C4 | semidirect |
| 334. C13 | #9431 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125546 | 2 |
| #13123832 | 2 |
| #13113452 | 2 |
| #13113399 | 2 |
| #13112734 | 2 |
| #13112717 | 2 |
| C13×#1512 | 2 |
| #9431 | 13 |