Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
406 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 406 conjugacy classes of subgroups — too many to draw. Only its 76 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 |
|---|---|---|
| 2. #13130310 | C2 | semidirect |
| 4. #13130159 | C2 | semidirect |
| 5. #13129729 | C2 | semidirect |
| 6. #13129702 | C2 | semidirect |
| 317. C13 | #9314 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131524 | 2 |
| #13130310 | 2 |
| #13130170 | 2 |
| #13130159 | 2 |
| #13129729 | 2 |
| #13129702 | 2 |
| #13125001 | 2 |
| #9314 | 13 |