Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
434 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 434 conjugacy classes of subgroups — too many to draw. Only its 80 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. #13130721 | C2 | semidirect |
| 3. #13130719 | C2 | semidirect |
| 4. #13129936 | C2 | semidirect |
| 7. C22×C8×D13 | C4 | semidirect |
| 13. C13×#424 | C4 | semidirect |
| 14. #11718787 | C4 | semidirect |
| 16. #11718658 | C4 | semidirect |
| 174. #424 | #261 | semidirect |
| 307. C13 | #12805 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131089 | 2 |
| #13130721 | 2 |
| #13130719 | 2 |
| #13129936 | 2 |
| #13123529 | 2 |
| #12805 | 13 |