Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
392 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 392 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. #14521604 | C2 | semidirect |
| 3. #14521416 | C2 | semidirect |
| 4. #14521412 | C2 | semidirect |
| 5. #14521411 | C2 | semidirect |
| 6. #14521409 | C2 | semidirect |
| 7. #14521408 | C2 | semidirect |
| 8. #14521044 | C2 | semidirect |
| 9. #14521042 | C2 | semidirect |
| 10. #97×D31 | C2 | semidirect |
| 11. C31×#489 | C2 | semidirect |
| 139. #489 | D31 | semidirect |
| 180. C31 | #3135 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521604 | 2 |
| #14521598 | 2 |
| #14521416 | 2 |
| #14521412 | 2 |
| #14521411 | 2 |
| #14521409 | 2 |
| #14521408 | 2 |
| #14521044 | 2 |
| #14521042 | 2 |
| #97×D31 | 2 |
| C31×#489 | 2 |
| #3135 | 31 |