Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
378 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 378 conjugacy classes of subgroups — too many to draw. Only its 115 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. #13114964 | C2 | semidirect |
| 3. #13112846 | C2 | semidirect |
| 4. C13×#2162 | C2 | semidirect |
| 10. #11718356 | C4 | semidirect |
| 13. C4×D104 | C4 | semidirect |
| 14. #11718343 | C4 | semidirect |
| 80. #2162 | D13 | semidirect |
| 208. C13 | #11856 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125415 | 2 |
| #13114964 | 2 |
| #13112846 | 2 |
| C13×#2162 | 2 |
| #11856 | 13 |