Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
410 conjugacy classes of subgroups; only the 128 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 128 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. #13131044 | C2 | semidirect |
| 4. #13129885 | C2 | semidirect |
| 11. C22×C13×C16 | C4 | semidirect |
| 12. C2×#88052 | C4 | semidirect |
| 15. C2×#88038 | C4 | semidirect |
| 17. C2×C16×D13 | C4 | semidirect |
| 19. #11718284 | C4 | semidirect |
| 21. #11718263 | C4 | semidirect |
| 130. C22×C16 | #261 | semidirect |
| 224. C13 | #12613 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131073 | 2 |
| #13131044 | 2 |
| #13130591 | 2 |
| #13129885 | 2 |
| C2×#11718562 | 2 |
| #12613 | 13 |