Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
462 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 462 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. #13117640 | C2 | semidirect |
| 3. #13113437 | C2 | semidirect |
| 5. #13112701 | C2 | semidirect |
| 6. #13112692 | C2 | semidirect |
| 14. #11718741 | C4 | semidirect |
| 15. #11718732 | C4 | semidirect |
| 323. C13 | #9382 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13126022 | 2 |
| #13117640 | 2 |
| #13113437 | 2 |
| #13113383 | 2 |
| #13112701 | 2 |
| #13112692 | 2 |
| C13×#1980 | 2 |
| #9382 | 13 |