Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
368 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 145 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. #14521452 | C2 | semidirect |
| 3. #14521428 | C2 | semidirect |
| 4. #14521401 | C2 | semidirect |
| 5. #14521399 | C2 | semidirect |
| 7. C4×#92482 | C2 | semidirect |
| 73. C2×C4×C31 | Q16 | semidirect |
| 139. C31 | #3170 | semidirect |
| 182. C2×C4 | #92482 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521606 | 2 |
| #14521452 | 2 |
| #14521428 | 2 |
| #14521401 | 2 |
| #14521399 | 2 |
| #14521288 | 2 |
| C4×#92482 | 2 |
| C2×C4×C31⋊C8 | 2 |
| C31×#533 | 2 |
| #3170 | 31 |