Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
444 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 444 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. #14521866 | C2 | semidirect |
| 2. #14521863 | C2 | semidirect |
| 3. #14521429 | C2 | semidirect |
| 4. #14521325 | C2 | semidirect |
| 5. #14521324 | C2 | semidirect |
| 6. #14521233 | C2 | semidirect |
| 7. #14521167 | C2 | semidirect |
| 8. C31×#443 | C2 | semidirect |
| 103. #443 | D31 | semidirect |
| 130. C31 | #3293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521866 | 2 |
| #14521863 | 2 |
| #14521429 | 2 |
| #14521325 | 2 |
| #14521324 | 2 |
| #14521233 | 2 |
| #14521167 | 2 |
| C31×#443 | 2 |
| #3293 | 31 |