Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
478 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 478 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. C2×#11718044 | C2 | semidirect |
| 4. #13113201 | C2 | semidirect |
| 5. #13112723 | C2 | semidirect |
| 6. #13112679 | C2 | semidirect |
| 18. #11718711 | C4 | semidirect |
| 19. #11718704 | C4 | semidirect |
| 21. #11718701 | C4 | semidirect |
| 22. #11718694 | C4 | semidirect |
| 377. C13 | #9263 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125613 | 2 |
| #13123892 | 2 |
| C2×#11718044 | 2 |
| #13113201 | 2 |
| #13112723 | 2 |
| #13112679 | 2 |
| C13×#1504 | 2 |
| #9263 | 13 |