Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
390 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 95 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. #13113388 | C2 | semidirect |
| 4. #13113258 | C2 | semidirect |
| 5. #13112701 | C2 | semidirect |
| 6. #13112699 | C2 | semidirect |
| 18. #11718726 | C4 | semidirect |
| 19. #11718726 | C4 | semidirect |
| 20. #11718716 | C4 | semidirect |
| 21. #11718716 | C4 | semidirect |
| 321. C13 | #9369 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13126072 | 2 |
| #13113413 | 2 |
| #13113388 | 2 |
| #13113258 | 2 |
| #13112701 | 2 |
| #13112699 | 2 |
| C13×#2967 | 2 |
| #9369 | 13 |