Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
510 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 510 conjugacy classes of subgroups — too many to draw. Only its 107 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. #13114612 | C2 | semidirect |
| 3. #13113357 | C2 | semidirect |
| 5. #13113201 | C2 | semidirect |
| 7. C13×#1810 | C2 | semidirect |
| 11. C22×#6095 | C4 | semidirect |
| 21. C2×#88061 | C4 | semidirect |
| 22. C2×#88057 | C4 | semidirect |
| 23. C2×#88056 | C4 | semidirect |
| 139. #1810 | D13 | semidirect |
| 352. C13 | #9816 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718775 | 2 |
| #13114612 | 2 |
| #13113357 | 2 |
| #13113353 | 2 |
| #13113201 | 2 |
| #13113197 | 2 |
| C13×#1810 | 2 |
| #9816 | 13 |