Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
386 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 386 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 |
|---|---|---|
| 1. #14521773 | C2 | semidirect |
| 3. #14521388 | C2 | semidirect |
| 4. #14521326 | C2 | semidirect |
| 5. #14521289 | C2 | semidirect |
| 6. #14521256 | C2 | semidirect |
| 7. #14521214 | C2 | semidirect |
| 8. C4×#92470 | C2 | semidirect |
| 9. C8×D124 | C2 | semidirect |
| 10. #14521044 | C2 | semidirect |
| 11. C31×#487 | C2 | semidirect |
| 123. #487 | D31 | semidirect |
| 166. C31 | #3302 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521773 | 2 |
| #14521702 | 2 |
| #14521388 | 2 |
| #14521326 | 2 |
| #14521289 | 2 |
| #14521256 | 2 |
| #14521214 | 2 |
| C4×#92470 | 2 |
| C8×D124 | 2 |
| #14521044 | 2 |
| C31×#487 | 2 |
| #3302 | 31 |