Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
362 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 123 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. #14521778 | C2 | semidirect |
| 2. #14521444 | C2 | semidirect |
| 4. #14521268 | C2 | semidirect |
| 5. #14521259 | C2 | semidirect |
| 6. #14521254 | C2 | semidirect |
| 8. #14521180 | C2 | semidirect |
| 9. #14521149 | C2 | semidirect |
| 10. C4×#92482 | C2 | semidirect |
| 162. C31 | #3400 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521778 | 2 |
| #14521444 | 2 |
| #14521421 | 2 |
| #14521268 | 2 |
| #14521259 | 2 |
| #14521254 | 2 |
| #14521246 | 2 |
| #14521180 | 2 |
| #14521149 | 2 |
| C4×#92482 | 2 |
| C31×#559 | 2 |
| #3400 | 31 |