Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1306 conjugacy classes of subgroups; only the 232 normal subgroups are shown.
This group has 1306 conjugacy classes of subgroups — too many to draw. Only its 232 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. #13131512 | C2 | semidirect |
| 2. #13130315 | C2 | semidirect |
| 3. #13130295 | C2 | semidirect |
| 17. #11719130 | C22 | semidirect |
| 19. #11719128 | C22 | semidirect |
| 21. C4×#6122 | C22 | semidirect |
| 23. #11718293 | C22 | semidirect |
| 65. #88110 | C23 | semidirect |
| 298. C13 | #17666 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131512 | 2 |
| #13130315 | 2 |
| #13130295 | 2 |
| C22×#88190 | 2 |
| #17666 | 13 |