Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
474 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 474 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 |
|---|---|---|
| 1. #13131674 | C2 | semidirect |
| 2. #13130599 | C2 | semidirect |
| 3. #13130291 | C2 | semidirect |
| 4. #13130225 | C2 | semidirect |
| 5. #13129723 | C2 | semidirect |
| 6. #13129702 | C2 | semidirect |
| 20. C13×#459 | C4 | semidirect |
| 23. #11718736 | C4 | semidirect |
| 24. #11718668 | C4 | semidirect |
| 25. #11718512 | C4 | semidirect |
| 188. #459 | #261 | semidirect |
| 335. C13 | #9161 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131674 | 2 |
| #13130599 | 2 |
| #13130291 | 2 |
| #13130225 | 2 |
| #13129723 | 2 |
| #13129702 | 2 |
| #13124984 | 2 |
| #9161 | 13 |