Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
324 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 95 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. #13114967 | C2 | semidirect |
| 3. #13112849 | C2 | semidirect |
| 5. C13×#2162 | C2 | semidirect |
| 12. C4×Dic52 | C4 | semidirect |
| 14. #11718357 | C4 | semidirect |
| 15. C4×D104 | C4 | semidirect |
| 17. #11718344 | C4 | semidirect |
| 92. #2162 | D13 | semidirect |
| 231. C13 | #11855 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125406 | 2 |
| #13114967 | 2 |
| #13112849 | 2 |
| #13112846 | 2 |
| C13×#2162 | 2 |
| #11855 | 13 |