Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
424 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 424 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 |
|---|---|---|
| 1. #13131656 | C2 | semidirect |
| 2. #13130277 | C2 | semidirect |
| 3. #13130257 | C2 | semidirect |
| 4. #13130157 | C2 | semidirect |
| 5. #13129697 | C2 | semidirect |
| 6. #13129692 | C2 | semidirect |
| 20. C13×#497 | C4 | semidirect |
| 25. #11718743 | C4 | semidirect |
| 26. #11718719 | C4 | semidirect |
| 27. #11718374 | C4 | semidirect |
| 187. #497 | #261 | semidirect |
| 342. C13 | #9370 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131656 | 2 |
| #13130277 | 2 |
| #13130257 | 2 |
| #13130157 | 2 |
| #13129697 | 2 |
| #13129692 | 2 |
| #13125870 | 2 |
| #9370 | 13 |