Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
726 conjugacy classes of subgroups; only the 293 normal subgroups are shown.
This group has 726 conjugacy classes of subgroups — too many to draw. Only its 293 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. C2×#11758525 | C2 | semidirect |
| 2. #14521532 | C2 | semidirect |
| 3. #14521058 | C2 | semidirect |
| 4. #14521050 | C2 | semidirect |
| 5. #14521045 | C2 | semidirect |
| 6. C2×#11758423 | C2 | semidirect |
| 9. C31×2−1+4 | C4 | semidirect |
| 30. #41×C31 | C2×C4 | semidirect |
| 35. C2×Q8×C31 | C2×C4 | semidirect |
| 103. 2−1+4 | Dic31 | semidirect |
| 121. C31 | #2898 | semidirect |
| 125. #41 | C2×Dic31 | semidirect |
| 130. C2×Q8 | C2×Dic31 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758525 | 2 |
| #14521532 | 2 |
| #14521058 | 2 |
| #14521050 | 2 |
| #14521045 | 2 |
| C2×#11758423 | 2 |
| C2×C31×2−1+4 | 2 |
| #2898 | 31 |