Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
362 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 115 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. #14521774 | C2 | semidirect |
| 3. #14521442 | C2 | semidirect |
| 5. #14521273 | C2 | semidirect |
| 6. #14521253 | C2 | semidirect |
| 8. #14521176 | C2 | semidirect |
| 9. #14521152 | C2 | semidirect |
| 10. C4×#92482 | C2 | semidirect |
| 11. C31×#462 | C2 | semidirect |
| 123. #462 | D31 | semidirect |
| 162. C31 | #3400 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521784 | 2 |
| #14521774 | 2 |
| #14521442 | 2 |
| #14521423 | 2 |
| #14521273 | 2 |
| #14521253 | 2 |
| #14521250 | 2 |
| #14521176 | 2 |
| #14521152 | 2 |
| C4×#92482 | 2 |
| C31×#462 | 2 |
| #3400 | 31 |