Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
348 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 70 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. #13131207 | C2 | semidirect |
| 2. #13130056 | C2 | semidirect |
| 3. #13129801 | C2 | semidirect |
| 4. #13129800 | C2 | semidirect |
| 5. #13129799 | C2 | semidirect |
| 6. #13129798 | C2 | semidirect |
| 21. #11718261 | C22 | semidirect |
| 22. #11718261 | C22 | semidirect |
| 24. #11718251 | C22 | semidirect |
| 25. C8×#1057 | C22 | semidirect |
| 278. C13 | #11670 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131207 | 2 |
| #13130056 | 2 |
| #13129801 | 2 |
| #13129800 | 2 |
| #13129799 | 2 |
| #13129798 | 2 |
| #13123744 | 2 |
| #11670 | 13 |