Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
446 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 137 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. C2×#11758519 | C2 | semidirect |
| 3. #14521816 | C2 | semidirect |
| 4. #14521322 | C2 | semidirect |
| 5. #14521314 | C2 | semidirect |
| 6. #14521097 | C2 | semidirect |
| 7. #14521031 | C2 | semidirect |
| 8. C2×#11758424 | C2 | semidirect |
| 9. C2×C31×#137 | C2 | semidirect |
| 23. C2×#92482 | C22 | semidirect |
| 27. C2×#92481 | C22 | semidirect |
| 33. #11758424 | C22 | semidirect |
| 34. #11758412 | C22 | semidirect |
| 35. #11758411 | C22 | semidirect |
| 36. #11758410 | C22 | semidirect |
| 139. C2×#137 | D31 | semidirect |
| 179. C31 | #3069 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521847 | 2 |
| C2×#11758519 | 2 |
| #14521816 | 2 |
| #14521322 | 2 |
| #14521314 | 2 |
| #14521097 | 2 |
| #14521031 | 2 |
| C2×#11758424 | 2 |
| C2×C31×#137 | 2 |
| #3069 | 31 |