Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
508 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 508 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. #13131694 | C2 | semidirect |
| 2. #13130606 | C2 | semidirect |
| 3. #13130307 | C2 | semidirect |
| 4. #13130217 | C2 | semidirect |
| 5. #13129729 | C2 | semidirect |
| 6. #13129688 | C2 | semidirect |
| 20. C13×#476 | C4 | semidirect |
| 21. #11718745 | C4 | semidirect |
| 22. #11718676 | C4 | semidirect |
| 25. #11718504 | C4 | semidirect |
| 197. #476 | #261 | semidirect |
| 356. C13 | #9163 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131694 | 2 |
| #13130606 | 2 |
| #13130307 | 2 |
| #13130217 | 2 |
| #13129729 | 2 |
| #13129688 | 2 |
| #13124929 | 2 |
| #9163 | 13 |