Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
160 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 53 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. #14521341 | C2 | semidirect |
| 3. C8×Dic62 | C2 | semidirect |
| 4. #14520800 | C2 | semidirect |
| 5. #14520798 | C2 | semidirect |
| 99. C31 | #1678 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521341 | 2 |
| #14521246 | 2 |
| C8×Dic62 | 2 |
| #14520800 | 2 |
| #14520798 | 2 |
| #14520793 | 2 |
| C31×#486 | 2 |
| #1678 | 31 |