Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
362 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 141 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. #14521358 | C2 | semidirect |
| 4. #14521354 | C2 | semidirect |
| 5. #14521342 | C2 | semidirect |
| 6. #14521332 | C2 | semidirect |
| 43. C2×Q8×C31 | Q8 | semidirect |
| 157. C31 | #3082 | semidirect |
| 161. C2×Q8 | Dic62 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521680 | 2 |
| #14521527 | 2 |
| #14521358 | 2 |
| #14521354 | 2 |
| #14521342 | 2 |
| #14521332 | 2 |
| #14521089 | 2 |
| #14521087 | 2 |
| #14521075 | 2 |
| #14521058 | 2 |
| C2×C31×#103 | 2 |
| #3082 | 31 |