Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
360 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 113 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. #14521752 | C2 | semidirect |
| 2. #14521376 | C2 | semidirect |
| 3. #14521364 | C2 | semidirect |
| 4. #14521346 | C2 | semidirect |
| 5. #14521303 | C2 | semidirect |
| 6. C4×D248 | C2 | semidirect |
| 7. #14521128 | C2 | semidirect |
| 8. #14521088 | C2 | semidirect |
| 9. C31×#499 | C2 | semidirect |
| 99. #499 | D31 | semidirect |
| 137. C31 | #3355 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521752 | 2 |
| #14521376 | 2 |
| #14521364 | 2 |
| #14521346 | 2 |
| #14521303 | 2 |
| C4×D248 | 2 |
| #14521128 | 2 |
| #14521088 | 2 |
| C31×#499 | 2 |
| #3355 | 31 |