Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
392 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 392 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 |
|---|---|---|
| 1. #14521602 | C2 | semidirect |
| 3. #14521416 | C2 | semidirect |
| 4. #14521412 | C2 | semidirect |
| 5. #14521410 | C2 | semidirect |
| 6. #14521407 | C2 | semidirect |
| 7. #14521046 | C2 | semidirect |
| 8. #14521045 | C2 | semidirect |
| 9. #14521043 | C2 | semidirect |
| 10. C2×#11758403 | C2 | semidirect |
| 11. C31×#416 | C2 | semidirect |
| 130. #416 | D31 | semidirect |
| 164. C31 | #3135 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521602 | 2 |
| #14521595 | 2 |
| #14521416 | 2 |
| #14521412 | 2 |
| #14521410 | 2 |
| #14521407 | 2 |
| #14521046 | 2 |
| #14521045 | 2 |
| #14521043 | 2 |
| C2×#11758403 | 2 |
| C31×#416 | 2 |
| #3135 | 31 |