Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
416 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 416 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 |
|---|---|---|
| 1. #13131064 | C2 | semidirect |
| 2. #13130713 | C2 | semidirect |
| 3. #13129824 | C2 | semidirect |
| 4. #13129822 | C2 | semidirect |
| 6. C2×C13×#135 | C4 | semidirect |
| 13. #11718849 | C4 | semidirect |
| 17. #11718818 | C4 | semidirect |
| 19. #11718767 | C4 | semidirect |
| 149. C2×#135 | #261 | semidirect |
| 279. C13 | #11890 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131064 | 2 |
| #13130713 | 2 |
| #13129824 | 2 |
| #13129822 | 2 |
| #13124413 | 2 |
| #11890 | 13 |