Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
432 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 432 conjugacy classes of subgroups — too many to draw. Only its 90 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 |
|---|---|---|
| 19. C13×#487 | C4 | semidirect |
| 20. #11718753 | C4 | semidirect |
| 21. #11718739 | C4 | semidirect |
| 25. #11718342 | C4 | semidirect |
| 95. #6118 | Q16 | semidirect |
| 168. #487 | #261 | semidirect |
| 300. C13 | #9056 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131632 | 2 |
| #13131012 | 2 |
| #13130220 | 2 |
| #13130145 | 2 |
| #13129671 | 2 |
| #13129668 | 2 |
| #13125421 | 2 |
| #9056 | 13 |