Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
498 conjugacy classes of subgroups; only the 100 normal subgroups are shown.
This group has 498 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 |
|---|---|---|
| 1. #13130383 | C2 | semidirect |
| 2. #13130137 | C2 | semidirect |
| 3. #13130135 | C2 | semidirect |
| 4. #13130077 | C2 | semidirect |
| 5. #13130076 | C2 | semidirect |
| 6. #13130049 | C2 | semidirect |
| 333. C13 | #9670 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130383 | 2 |
| #13130137 | 2 |
| #13130135 | 2 |
| #13130077 | 2 |
| #13130076 | 2 |
| #13130049 | 2 |
| C2×#11718417 | 2 |
| #9670 | 13 |