Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
498 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 498 conjugacy classes of subgroups — too many to draw. Only its 92 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. #13130970 | C2 | semidirect |
| 2. #13130969 | C2 | semidirect |
| 3. #13130549 | C2 | semidirect |
| 4. #13130391 | C2 | semidirect |
| 5. #13130183 | C2 | semidirect |
| 6. #13130182 | C2 | semidirect |
| 16. C13×#486 | C4 | semidirect |
| 17. #11718739 | C4 | semidirect |
| 18. #11718734 | C4 | semidirect |
| 21. #11718355 | C4 | semidirect |
| 162. #486 | #261 | semidirect |
| 287. C13 | #9852 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130970 | 2 |
| #13130969 | 2 |
| #13130549 | 2 |
| #13130391 | 2 |
| #13130183 | 2 |
| #13130182 | 2 |
| #13125414 | 2 |
| #9852 | 13 |