Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
420 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 72 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. #13130328 | C2 | semidirect |
| 3. #13130259 | C2 | semidirect |
| 5. #13129703 | C2 | semidirect |
| 6. #13129696 | C2 | semidirect |
| 17. C13×#492 | C4 | semidirect |
| 20. #11718742 | C4 | semidirect |
| 21. #11718731 | C4 | semidirect |
| 23. #11718343 | C4 | semidirect |
| 148. #492 | #261 | semidirect |
| 265. C13 | #9415 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131721 | 2 |
| #13130328 | 2 |
| #13130259 | 2 |
| #13130256 | 2 |
| #13129703 | 2 |
| #13129696 | 2 |
| #13125552 | 2 |
| #9415 | 13 |