Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
292 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 32. C2×Dic62 | C8 | semidirect |
| 38. C2×C8×C31 | Q8 | semidirect |
| 53. C2×C31⋊C8 | Q8 | semidirect |
| 131. C31 | #1984 | semidirect |
| 153. C2×C8 | Dic62 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×Dic62 | 2 |
| C2×Dic31⋊C8 | 2 |
| C2×C8×Dic31 | 2 |
| #14520804 | 2 |
| #14520803 | 2 |
| C31×#336 | 2 |
| #1984 | 31 |