Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
424 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 424 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. #13123821 | C2 | semidirect |
| 3. #13113411 | C2 | semidirect |
| 4. #13113382 | C2 | semidirect |
| 5. #13113254 | C2 | semidirect |
| 6. #13112697 | C2 | semidirect |
| 7. C13×#1288 | C2 | semidirect |
| 21. #11718376 | C4 | semidirect |
| 22. #11718374 | C4 | semidirect |
| 23. #11718373 | C4 | semidirect |
| 25. #11718364 | C4 | semidirect |
| 144. #1288 | D13 | semidirect |
| 342. C13 | #9370 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125875 | 2 |
| #13123821 | 2 |
| #13113411 | 2 |
| #13113382 | 2 |
| #13113254 | 2 |
| #13112697 | 2 |
| C13×#1288 | 2 |
| #9370 | 13 |