Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
396 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 396 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 |
|---|---|---|
| 1. #14521773 | C2 | semidirect |
| 3. #14521397 | C2 | semidirect |
| 4. #14521375 | C2 | semidirect |
| 5. #14521279 | C2 | semidirect |
| 6. #14521250 | C2 | semidirect |
| 7. #14521214 | C2 | semidirect |
| 8. C4×#92482 | C2 | semidirect |
| 9. #14521114 | C2 | semidirect |
| 10. #14521044 | C2 | semidirect |
| 11. C31×#475 | C2 | semidirect |
| 127. #475 | D31 | semidirect |
| 168. C31 | #3304 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521773 | 2 |
| #14521721 | 2 |
| #14521397 | 2 |
| #14521375 | 2 |
| #14521279 | 2 |
| #14521250 | 2 |
| #14521214 | 2 |
| C4×#92482 | 2 |
| #14521114 | 2 |
| #14521044 | 2 |
| C31×#475 | 2 |
| #3304 | 31 |