Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
390 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 390 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 |
|---|---|---|
| 3. #13130260 | C2 | semidirect |
| 4. #13130160 | C2 | semidirect |
| 5. #13129697 | C2 | semidirect |
| 6. #13129692 | C2 | semidirect |
| 20. C13×#501 | C4 | semidirect |
| 21. #11718750 | C4 | semidirect |
| 22. #11718726 | C4 | semidirect |
| 27. #11718375 | C4 | semidirect |
| 176. #501 | #261 | semidirect |
| 321. C13 | #9369 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131660 | 2 |
| #13130279 | 2 |
| #13130260 | 2 |
| #13130160 | 2 |
| #13129697 | 2 |
| #13129692 | 2 |
| #13126077 | 2 |
| #9369 | 13 |