Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
504 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 133 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. C2×#11758527 | C2 | semidirect |
| 2. #14521720 | C2 | semidirect |
| 3. #14521425 | C2 | semidirect |
| 4. #14521283 | C2 | semidirect |
| 5. #14521249 | C2 | semidirect |
| 6. #14521246 | C2 | semidirect |
| 7. #14521194 | C2 | semidirect |
| 8. #14521192 | C2 | semidirect |
| 9. C4×#92482 | C2 | semidirect |
| 10. D4×C31⋊C8 | C2 | semidirect |
| 11. C31×#550 | C2 | semidirect |
| 69. #92482 | D4 | semidirect |
| 132. C4×C31 | #135 | semidirect |
| 139. #550 | D31 | semidirect |
| 184. C31 | #3287 | semidirect |
| 276. C4 | #11758527 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758527 | 2 |
| #14521720 | 2 |
| #14521425 | 2 |
| #14521283 | 2 |
| #14521249 | 2 |
| #14521246 | 2 |
| #14521194 | 2 |
| #14521192 | 2 |
| C4×#92482 | 2 |
| D4×C31⋊C8 | 2 |
| C31×#550 | 2 |
| #3287 | 31 |