Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
624 conjugacy classes of subgroups; only the 170 normal subgroups are shown.
This group has 624 conjugacy classes of subgroups — too many to draw. Only its 170 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. #13131728 | C2 | semidirect |
| 2. #13130456 | C2 | semidirect |
| 3. #13130436 | C2 | semidirect |
| 4. #13130399 | C2 | semidirect |
| 5. #13130197 | C2 | semidirect |
| 6. #13130050 | C2 | semidirect |
| 236. C13 | #17989 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131728 | 2 |
| #13130456 | 2 |
| #13130436 | 2 |
| #13130399 | 2 |
| #13130197 | 2 |
| #13130050 | 2 |
| #13125416 | 2 |
| #17989 | 13 |