Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
484 conjugacy classes of subgroups; only the 229 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 229 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. #14520935 | C2 | semidirect |
| 3. #14520919 | C2 | semidirect |
| 4. #14520915 | C2 | semidirect |
| 6. C4×C4⋊Dic31 | C2 | semidirect |
| 9. C31×#117 | C4 | semidirect |
| 97. #117 | Dic31 | semidirect |
| 110. C31 | #2314 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14520942 | 2 |
| #14520935 | 2 |
| #14520919 | 2 |
| #14520915 | 2 |
| #14520909 | 2 |
| C4×C4⋊Dic31 | 2 |
| C2×C31×#117 | 2 |
| #2314 | 31 |