Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
182 conjugacy classes of subgroups; only the 50 normal subgroups are shown.
This group has 182 conjugacy classes of subgroups — too many to draw. Only its 50 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. #13131233 | C2 | semidirect |
| 3. #13130002 | C2 | semidirect |
| 4. #13129992 | C2 | semidirect |
| 6. #13129946 | C2 | semidirect |
| 18. C13×Q64 | C4 | semidirect |
| 19. #11718114 | C4 | semidirect |
| 20. #11718113 | C4 | semidirect |
| 21. #11718041 | C4 | semidirect |
| 91. Q64 | #261 | semidirect |
| 153. C13 | #13657 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131239 | 2 |
| #13131233 | 2 |
| #13130002 | 2 |
| #13129992 | 2 |
| #13129990 | 2 |
| #13129946 | 2 |
| #13117155 | 2 |
| #13657 | 13 |