Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
392 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 392 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 |
|---|---|---|
| 3. #13130402 | C2 | semidirect |
| 4. #13130401 | C2 | semidirect |
| 5. #13129725 | C2 | semidirect |
| 6. #13129725 | C2 | semidirect |
| 27. C13×#329 | C4 | semidirect |
| 28. #11718132 | C4 | semidirect |
| 29. #11718056 | C4 | semidirect |
| 30. #11718056 | C4 | semidirect |
| 190. #329 | #261 | semidirect |
| 307. C13 | #8918 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131722 | 2 |
| #13130973 | 2 |
| #13130402 | 2 |
| #13130401 | 2 |
| #13129725 | 2 |
| #13113426 | 2 |
| #8918 | 13 |