Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
568 conjugacy classes of subgroups; only the 213 normal subgroups are shown.
This group has 568 conjugacy classes of subgroups — too many to draw. Only its 213 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 |
| 17. C2×C4×Dic31 | C4 | semidirect |
| 127. C31 | #2283 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C4×Dic31 | 2 |
| #14520916 | 2 |
| #14520913 | 2 |
| #14520910 | 2 |
| #14520907 | 2 |
| C4×Dic31⋊C4 | 2 |
| C4×C22⋊Dic31 | 2 |
| #14520895 | 2 |
| C4×C22⋊C4×C31 | 2 |
| #2283 | 31 |