Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
450 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 78 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. #13130294 | C2 | semidirect |
| 4. #13130230 | C2 | semidirect |
| 5. #13129723 | C2 | semidirect |
| 6. #13129702 | C2 | semidirect |
| 20. C13×#476 | C4 | semidirect |
| 21. #11718752 | C4 | semidirect |
| 22. #11718680 | C4 | semidirect |
| 25. #11718510 | C4 | semidirect |
| 181. #476 | #261 | semidirect |
| 326. C13 | #9160 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131681 | 2 |
| #13130599 | 2 |
| #13130294 | 2 |
| #13130230 | 2 |
| #13129723 | 2 |
| #13129702 | 2 |
| #13125000 | 2 |
| #9160 | 13 |