Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
464 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 82 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. #13130712 | C2 | semidirect |
| 3. #13129822 | C2 | semidirect |
| 5. C22×C13×D8 | C4 | semidirect |
| 14. #11718818 | C4 | semidirect |
| 16. C2×#88058 | C4 | semidirect |
| 18. #11718265 | C22 | semidirect |
| 19. #11718259 | C22 | semidirect |
| 130. C22×D8 | #261 | semidirect |
| 242. C13 | #11888 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131064 | 2 |
| #13130712 | 2 |
| #13129822 | 2 |
| C2×#11718818 | 2 |
| #11888 | 13 |