Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
334 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 334 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 4. #14521057 | C2 | semidirect |
| 5. #14520955 | C2 | semidirect |
| 6. #14520817 | C2 | semidirect |
| 7. C31×#339 | C2 | semidirect |
| 16. #11758486 | C4 | semidirect |
| 45. C2×Dic62 | C2×C4 | semidirect |
| 48. M16×C31 | C2×C4 | semidirect |
| 125. #339 | D31 | semidirect |
| 152. C31 | #1882 | semidirect |
| 177. M16 | C4×D31 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758486 | 2 |
| #14521529 | 2 |
| C2×#11758393 | 2 |
| #14521057 | 2 |
| #14520955 | 2 |
| #14520817 | 2 |
| C31×#339 | 2 |
| #1882 | 31 |