Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
482 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 125 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×#11758489 | C2 | semidirect |
| 2. C22×Dic124 | C2 | semidirect |
| 3. #14521705 | C2 | semidirect |
| 4. #14521432 | C2 | semidirect |
| 5. #14521291 | C2 | semidirect |
| 6. #14521270 | C2 | semidirect |
| 7. #14521212 | C2 | semidirect |
| 8. #14521187 | C2 | semidirect |
| 9. #14521143 | C2 | semidirect |
| 10. C8×C22⋊D31 | C2 | semidirect |
| 11. C31×#466 | C2 | semidirect |
| 78. Dic124 | D4 | semidirect |
| 117. C22×C31 | #135 | semidirect |
| 136. #466 | D31 | semidirect |
| 177. C31 | #3285 | semidirect |
| 256. C22 | #11758489 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758489 | 2 |
| C22×Dic124 | 2 |
| #14521705 | 2 |
| #14521432 | 2 |
| #14521291 | 2 |
| #14521270 | 2 |
| #14521212 | 2 |
| #14521187 | 2 |
| #14521143 | 2 |
| C8×C22⋊D31 | 2 |
| C31×#466 | 2 |
| #3285 | 31 |