Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
444 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 89 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. #13118016 | C2 | semidirect |
| 3. #13113554 | C2 | semidirect |
| 5. #13112702 | C2 | semidirect |
| 6. #13112700 | C2 | semidirect |
| 13. #11718742 | C4 | semidirect |
| 14. #11718731 | C4 | semidirect |
| 246. C13 | #9430 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125229 | 2 |
| #13118016 | 2 |
| #13113554 | 2 |
| #13113383 | 2 |
| #13112702 | 2 |
| #13112700 | 2 |
| C13×#1514 | 2 |
| #9430 | 13 |