Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
168 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 53 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 |
|---|---|---|
| 3. #14521180 | C2 | semidirect |
| 4. #14520801 | C2 | semidirect |
| 5. #14520795 | C2 | semidirect |
| 7. C31×#475 | C2 | semidirect |
| 62. C31⋊C8 | SD16 | semidirect |
| 77. #475 | D31 | semidirect |
| 102. C31 | #1686 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521423 | 2 |
| #14521249 | 2 |
| #14521180 | 2 |
| #14520801 | 2 |
| #14520795 | 2 |
| #14520792 | 2 |
| C31×#475 | 2 |
| #1686 | 31 |