Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
468 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 87 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. #13116507 | C2 | semidirect |
| 3. #13116486 | C2 | semidirect |
| 4. #13116485 | C2 | semidirect |
| 5. #13114880 | C2 | semidirect |
| 6. #13114638 | C2 | semidirect |
| 7. C13×#2128 | C2 | semidirect |
| 11. C22×#6104 | C4 | semidirect |
| 16. #11718876 | C4 | semidirect |
| 21. #11718662 | C4 | semidirect |
| 23. #11718659 | C4 | semidirect |
| 146. #2128 | D13 | semidirect |
| 362. C13 | #13231 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124481 | 2 |
| #13116507 | 2 |
| #13116486 | 2 |
| #13116485 | 2 |
| #13114880 | 2 |
| #13114638 | 2 |
| C13×#2128 | 2 |
| #13231 | 13 |