Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
846 conjugacy classes of subgroups; only the 184 normal subgroups are shown.
This group has 846 conjugacy classes of subgroups — too many to draw. Only its 184 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 |
|---|---|---|
| 1. #13131561 | C2 | semidirect |
| 2. #13130969 | C2 | semidirect |
| 3. #13130826 | C2 | semidirect |
| 4. #13130760 | C2 | semidirect |
| 5. #13130549 | C2 | semidirect |
| 19. C13×#494 | C4 | semidirect |
| 20. #11718852 | C4 | semidirect |
| 21. #11718746 | C4 | semidirect |
| 22. #11718356 | C4 | semidirect |
| 133. #494 | #261 | semidirect |
| 237. C13 | #22280 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131561 | 2 |
| #13130969 | 2 |
| #13130826 | 2 |
| #13130760 | 2 |
| #13130549 | 2 |
| #13125265 | 2 |
| #22280 | 13 |