Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
444 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 72 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. #13131655 | C2 | semidirect |
| 2. #13130321 | C2 | semidirect |
| 3. #13130177 | C2 | semidirect |
| 4. #13130097 | C2 | semidirect |
| 5. #13129743 | C2 | semidirect |
| 6. #13129704 | C2 | semidirect |
| 340. C13 | #9532 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131655 | 2 |
| #13130321 | 2 |
| #13130177 | 2 |
| #13130097 | 2 |
| #13129743 | 2 |
| #13129704 | 2 |
| #13124971 | 2 |
| #9532 | 13 |