Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
436 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 74 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 |
|---|---|---|
| 1. #13131662 | C2 | semidirect |
| 2. #13130307 | C2 | semidirect |
| 3. #13130267 | C2 | semidirect |
| 4. #13130248 | C2 | semidirect |
| 5. #13129730 | C2 | semidirect |
| 6. #13129713 | C2 | semidirect |
| 20. C13×#489 | C4 | semidirect |
| 21. #11718741 | C4 | semidirect |
| 22. #11718719 | C4 | semidirect |
| 27. #11718374 | C4 | semidirect |
| 192. #489 | #261 | semidirect |
| 346. C13 | #9432 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131662 | 2 |
| #13130307 | 2 |
| #13130267 | 2 |
| #13130248 | 2 |
| #13129730 | 2 |
| #13129713 | 2 |
| #13125537 | 2 |
| #9432 | 13 |