Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
356 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 153 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. #14521453 | C2 | semidirect |
| 3. #14521450 | C2 | semidirect |
| 4. #14521449 | C2 | semidirect |
| 5. #14521446 | C2 | semidirect |
| 32. C2×C8×C31 | Q8 | semidirect |
| 47. C2×C31⋊C8 | Q8 | semidirect |
| 107. C31 | #3160 | semidirect |
| 114. C2×C8 | Dic62 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521602 | 2 |
| #14521453 | 2 |
| #14521450 | 2 |
| #14521449 | 2 |
| #14521446 | 2 |
| #14521087 | 2 |
| #14521085 | 2 |
| C2×C8×Dic31 | 2 |
| C31×#427 | 2 |
| #3160 | 31 |