Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
456 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 456 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 |
|---|---|---|
| 1. #13131725 | C2 | semidirect |
| 2. #13130227 | C2 | semidirect |
| 3. #13130225 | C2 | semidirect |
| 4. #13130197 | C2 | semidirect |
| 5. #13129693 | C2 | semidirect |
| 6. #13129659 | C2 | semidirect |
| 18. C13×#492 | C4 | semidirect |
| 21. #11718742 | C4 | semidirect |
| 22. #11718734 | C4 | semidirect |
| 23. #11718355 | C4 | semidirect |
| 163. #492 | #261 | semidirect |
| 291. C13 | #9281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131725 | 2 |
| #13130227 | 2 |
| #13130225 | 2 |
| #13130197 | 2 |
| #13129693 | 2 |
| #13129659 | 2 |
| #13125766 | 2 |
| #9281 | 13 |