Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
376 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 135 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. #14521359 | C2 | semidirect |
| 4. #14521355 | C2 | semidirect |
| 5. #14521343 | C2 | semidirect |
| 6. #14521333 | C2 | semidirect |
| 52. C2×Dic62 | Q8 | semidirect |
| 172. C31 | #3078 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521602 | 2 |
| C2×#11758464 | 2 |
| #14521359 | 2 |
| #14521355 | 2 |
| #14521343 | 2 |
| #14521333 | 2 |
| #14521089 | 2 |
| #14521072 | 2 |
| #14521059 | 2 |
| #14521057 | 2 |
| C31×#428 | 2 |
| #3078 | 31 |