Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
492 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 78 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. #13131011 | C2 | semidirect |
| 3. #13130230 | C2 | semidirect |
| 5. #13129723 | C2 | semidirect |
| 6. #13129688 | C2 | semidirect |
| 19. C13×#474 | C4 | semidirect |
| 20. #11718748 | C4 | semidirect |
| 21. #11718680 | C4 | semidirect |
| 24. #11718502 | C4 | semidirect |
| 196. #474 | #261 | semidirect |
| 354. C13 | #9327 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131319 | 2 |
| #13131011 | 2 |
| #13130230 | 2 |
| #13130176 | 2 |
| #13129723 | 2 |
| #13129688 | 2 |
| #13124937 | 2 |
| #9327 | 13 |