Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
488 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 78 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. #13131775 | C2 | semidirect |
| 2. #13130960 | C2 | semidirect |
| 3. #13130289 | C2 | semidirect |
| 4. #13130175 | C2 | semidirect |
| 5. #13129731 | C2 | semidirect |
| 6. #13129680 | C2 | semidirect |
| 373. C13 | #9052 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131775 | 2 |
| #13130960 | 2 |
| #13130289 | 2 |
| #13130175 | 2 |
| #13129731 | 2 |
| #13129680 | 2 |
| #13124884 | 2 |
| #9052 | 13 |