Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
568 conjugacy classes of subgroups; only the 205 normal subgroups are shown.
This group has 568 conjugacy classes of subgroups — too many to draw. Only its 205 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. #14520916 | C2 | semidirect |
| 3. #14520913 | C2 | semidirect |
| 6. C4×Dic31⋊C4 | C2 | semidirect |
| 8. #14520895 | C2 | semidirect |
| 9. C31×#376 | C2 | semidirect |
| 21. C42×D31 | C4 | semidirect |
| 102. #376 | D31 | semidirect |
| 126. C31 | #2283 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C42×D31 | 2 |
| #14520916 | 2 |
| #14520913 | 2 |
| #14520911 | 2 |
| #14520908 | 2 |
| C4×Dic31⋊C4 | 2 |
| C4×(C2×D31)⋊C4 | 2 |
| #14520895 | 2 |
| C31×#376 | 2 |
| #2283 | 31 |