Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
436 conjugacy classes of subgroups; only the 100 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 100 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. #13130494 | C2 | semidirect |
| 4. #13130044 | C2 | semidirect |
| 5. #13129730 | C2 | semidirect |
| 6. #13129725 | C2 | semidirect |
| 11. #11719080 | C4 | semidirect |
| 13. #11719076 | C4 | semidirect |
| 15. #11719074 | C4 | semidirect |
| 17. #11719073 | C4 | semidirect |
| 29. C13×#330 | C4 | semidirect |
| 30. #11718135 | C4 | semidirect |
| 31. #11718056 | C4 | semidirect |
| 32. #11718056 | C4 | semidirect |
| 182. #330 | #261 | semidirect |
| 301. C13 | #8249 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131653 | 2 |
| #13130494 | 2 |
| #13130210 | 2 |
| #13130044 | 2 |
| #13129730 | 2 |
| #13129725 | 2 |
| #13113423 | 2 |
| #8249 | 13 |