Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
418 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 3. #13115788 | C2 | semidirect |
| 4. #13113561 | C2 | semidirect |
| 5. #13112705 | C2 | semidirect |
| 6. #13112692 | C2 | semidirect |
| 12. #11718726 | C4 | semidirect |
| 13. #11718716 | C4 | semidirect |
| 314. C13 | #9375 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13126054 | 2 |
| #13123975 | 2 |
| #13115788 | 2 |
| #13113561 | 2 |
| #13112705 | 2 |
| #13112692 | 2 |
| C13×#1509 | 2 |
| #9375 | 13 |