Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
456 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 88 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. #13130220 | C2 | semidirect |
| 4. #13130186 | C2 | semidirect |
| 5. #13129728 | C2 | semidirect |
| 6. #13129670 | C2 | semidirect |
| 20. C13×#477 | C4 | semidirect |
| 21. #11718745 | C4 | semidirect |
| 22. #11718681 | C4 | semidirect |
| 25. #11718507 | C4 | semidirect |
| 191. #477 | #261 | semidirect |
| 344. C13 | #9209 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131644 | 2 |
| #13130709 | 2 |
| #13130220 | 2 |
| #13130186 | 2 |
| #13129728 | 2 |
| #13129670 | 2 |
| #13124627 | 2 |
| #9209 | 13 |