Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
514 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 514 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 |
|---|---|---|
| 2. #13123966 | C2 | semidirect |
| 3. C4×#88045 | C2 | semidirect |
| 4. #13113253 | C2 | semidirect |
| 5. #13112725 | C2 | semidirect |
| 6. #13112669 | C2 | semidirect |
| 7. C13×#1962 | C2 | semidirect |
| 14. #11718752 | C4 | semidirect |
| 15. #11718745 | C4 | semidirect |
| 16. #11718736 | C4 | semidirect |
| 17. #11718733 | C4 | semidirect |
| 142. #1962 | D13 | semidirect |
| 187. Dic26 | #104 | semidirect |
| 355. C13 | #8970 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124890 | 2 |
| #13123966 | 2 |
| C4×#88045 | 2 |
| #13113253 | 2 |
| #13112725 | 2 |
| #13112669 | 2 |
| C13×#1962 | 2 |
| #8970 | 13 |