Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
260 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 87 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 |
|---|---|---|
| 36. M16×C31 | Q8 | semidirect |
| 52. #92474 | Q8 | semidirect |
| 123. C31 | #1997 | semidirect |
| 139. M16 | Dic62 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758465 | 2 |
| #14521072 | 2 |
| M16×Dic31 | 2 |
| #14520818 | 2 |
| #14520817 | 2 |
| C31×#343 | 2 |
| #1997 | 31 |