Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
350 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 350 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. #14521863 | C2 | semidirect |
| 2. #14521489 | C2 | semidirect |
| 3. #14521488 | C2 | semidirect |
| 4. #14521478 | C2 | semidirect |
| 5. C2×Dic248 | C2 | semidirect |
| 6. Q32×D31 | C2 | semidirect |
| 7. #14521465 | C2 | semidirect |
| 8. C31×#508 | C2 | semidirect |
| 82. #508 | D31 | semidirect |
| 109. C31 | #3417 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521863 | 2 |
| #14521489 | 2 |
| #14521488 | 2 |
| #14521478 | 2 |
| C2×Dic248 | 2 |
| Q32×D31 | 2 |
| #14521465 | 2 |
| C31×#508 | 2 |
| #3417 | 31 |