Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
500 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 500 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 |
|---|---|---|
| 2. #13131011 | C2 | semidirect |
| 4. #13130146 | C2 | semidirect |
| 5. #13129671 | C2 | semidirect |
| 6. #13129668 | C2 | semidirect |
| 19. C13×#487 | C4 | semidirect |
| 20. #11718746 | C4 | semidirect |
| 21. #11718740 | C4 | semidirect |
| 24. #11718355 | C4 | semidirect |
| 106. #6118 | SD16 | semidirect |
| 184. #487 | #261 | semidirect |
| 327. C13 | #9055 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131582 | 2 |
| #13131011 | 2 |
| #13130217 | 2 |
| #13130146 | 2 |
| #13129671 | 2 |
| #13129668 | 2 |
| #13125398 | 2 |
| #9055 | 13 |