Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
936 conjugacy classes of subgroups; only the 277 normal subgroups are shown.
This group has 936 conjugacy classes of subgroups — too many to draw. Only its 277 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. C22×C4×Dic31 | C2 | semidirect |
| 3. #14520954 | C2 | semidirect |
| 4. #14520950 | C2 | semidirect |
| 5. #14520926 | C2 | semidirect |
| 6. C4×(C2×D31)⋊C4 | C2 | semidirect |
| 7. C2×C31×#117 | C2 | semidirect |
| 13. C2×#92495 | C4 | semidirect |
| 44. C2×D124 | C2×C4 | semidirect |
| 47. C2×C4×D31 | C2×C4 | semidirect |
| 50. C2×Dic62 | C2×C4 | semidirect |
| 68. C2×C4×C31 | C22⋊C4 | semidirect |
| 82. C2×Dic31 | #41 | semidirect |
| 105. C2×#117 | D31 | semidirect |
| 135. C31 | #2297 | semidirect |
| 189. C2×C4 | (C2×D31)⋊C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#92495 | 2 |
| C22×C4×Dic31 | 2 |
| #14520954 | 2 |
| #14520950 | 2 |
| #14520926 | 2 |
| C4×(C2×D31)⋊C4 | 2 |
| C2×C31×#117 | 2 |
| #2297 | 31 |