Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
388 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 125 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. #14521401 | C2 | semidirect |
| 4. #14521386 | C2 | semidirect |
| 5. #14521291 | C2 | semidirect |
| 6. #14521260 | C2 | semidirect |
| 7. #14521206 | C2 | semidirect |
| 8. C4×#92482 | C2 | semidirect |
| 10. #103×D31 | C2 | semidirect |
| 11. C31×#477 | C2 | semidirect |
| 90. D124 | Q16 | semidirect |
| 123. #477 | D31 | semidirect |
| 163. C31 | #3299 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521760 | 2 |
| Q8×D124 | 2 |
| #14521401 | 2 |
| #14521386 | 2 |
| #14521291 | 2 |
| #14521260 | 2 |
| #14521206 | 2 |
| C4×#92482 | 2 |
| #14521114 | 2 |
| #103×D31 | 2 |
| C31×#477 | 2 |
| #3299 | 31 |