Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
358 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 3. #14521353 | C2 | semidirect |
| 4. #14521256 | C2 | semidirect |
| 6. #14521154 | C2 | semidirect |
| 7. C4×#92482 | C2 | semidirect |
| 130. C31 | #3127 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521526 | 2 |
| #14521387 | 2 |
| #14521353 | 2 |
| #14521256 | 2 |
| #14521204 | 2 |
| #14521154 | 2 |
| C4×#92482 | 2 |
| #14521110 | 2 |
| C31×#541 | 2 |
| #3127 | 31 |