Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
256 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 2. C2×#11758410 | C2 | semidirect |
| 3. #14521085 | C2 | semidirect |
| 5. #14520820 | C2 | semidirect |
| 6. #14520819 | C2 | semidirect |
| 13. #11758525 | C4 | semidirect |
| 14. #11758525 | C4 | semidirect |
| 132. C31 | #1814 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758525 | 2 |
| C2×#11758410 | 2 |
| #14521085 | 2 |
| #14521066 | 2 |
| #14520820 | 2 |
| #14520819 | 2 |
| C31×#421 | 2 |
| #1814 | 31 |