Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
386 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 117 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. C2×#11758464 | C2 | semidirect |
| 4. #14521355 | C2 | semidirect |
| 5. #14521274 | C2 | semidirect |
| 6. #14521204 | C2 | semidirect |
| 8. #14521153 | C2 | semidirect |
| 9. #14521148 | C2 | semidirect |
| 10. #14521103 | C2 | semidirect |
| 11. C31×#484 | C2 | semidirect |
| 129. #484 | D31 | semidirect |
| 174. C31 | #3117 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521585 | 2 |
| C2×#11758464 | 2 |
| #14521367 | 2 |
| #14521355 | 2 |
| #14521274 | 2 |
| #14521204 | 2 |
| #14521190 | 2 |
| #14521153 | 2 |
| #14521148 | 2 |
| #14521103 | 2 |
| C31×#484 | 2 |
| #3117 | 31 |