Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
184 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 184 conjugacy classes of subgroups — too many to draw. Only its 81 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. #14520802 | C2 | semidirect |
| 4. #14520801 | C2 | semidirect |
| 5. C31×#335 | C2 | semidirect |
| 47. C8×C31 | M16 | semidirect |
| 50. C31⋊C8 | M16 | semidirect |
| 68. #335 | D31 | semidirect |
| 84. C31 | #1567 | semidirect |
| 118. C8 | #92469 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521071 | 2 |
| C4×C8×D31 | 2 |
| #14520802 | 2 |
| #14520801 | 2 |
| C31×#335 | 2 |
| #1567 | 31 |