Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
700 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 700 conjugacy classes of subgroups — too many to draw. Only its 149 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. C2×#11758486 | C2 | semidirect |
| 3. C22×#92482 | C2 | semidirect |
| 4. #14521625 | C2 | semidirect |
| 5. #14521214 | C2 | semidirect |
| 6. #14521206 | C2 | semidirect |
| 7. #14521043 | C2 | semidirect |
| 8. #14521017 | C2 | semidirect |
| 9. C31×#419 | C2 | semidirect |
| 142. #419 | D31 | semidirect |
| 177. C31 | #3011 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758564 | 2 |
| C2×#11758486 | 2 |
| C22×#92482 | 2 |
| #14521625 | 2 |
| #14521214 | 2 |
| #14521206 | 2 |
| #14521043 | 2 |
| #14521017 | 2 |
| C31×#419 | 2 |
| #3011 | 31 |