Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
398 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 398 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. #14521765 | C2 | semidirect |
| 2. #14521702 | C2 | semidirect |
| 3. #14521389 | C2 | semidirect |
| 4. #14521336 | C2 | semidirect |
| 5. #14521281 | C2 | semidirect |
| 6. #14521251 | C2 | semidirect |
| 7. #14521197 | C2 | semidirect |
| 8. C4×D248 | C2 | semidirect |
| 9. C8×D124 | C2 | semidirect |
| 10. #14521044 | C2 | semidirect |
| 11. C31×#487 | C2 | semidirect |
| 127. #487 | D31 | semidirect |
| 171. C31 | #3303 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521765 | 2 |
| #14521702 | 2 |
| #14521389 | 2 |
| #14521336 | 2 |
| #14521281 | 2 |
| #14521251 | 2 |
| #14521197 | 2 |
| C4×D248 | 2 |
| C8×D124 | 2 |
| #14521044 | 2 |
| C31×#487 | 2 |
| #3303 | 31 |