Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
176 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 176 conjugacy classes of subgroups — too many to draw. Only its 71 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 |
|---|---|---|
| 1. #14521173 | C2 | semidirect |
| 4. #14520801 | C2 | semidirect |
| 5. #14520781 | C2 | semidirect |
| 6. #14520771 | C2 | semidirect |
| 31. #92480 | C8 | semidirect |
| 53. Dic62 | C2×C8 | semidirect |
| 60. C31⋊C8 | C2×C8 | semidirect |
| 100. C31 | SD16⋊C8 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521173 | 2 |
| C4×#92480 | 2 |
| D4×C31⋊C8 | 2 |
| #14520801 | 2 |
| #14520781 | 2 |
| #14520771 | 2 |
| C31×D4⋊C8 | 2 |
| SD16⋊C8 | 31 |