Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
150 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 150 conjugacy classes of subgroups — too many to draw. Only its 59 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 |
|---|---|---|
| 15. #11758417 | C4 | semidirect |
| 60. Dic31 | Q32 | semidirect |
| 83. C31 | C4×Q32 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758417 | 2 |
| Q16×Dic31 | 2 |
| #14521143 | 2 |
| #14520874 | 2 |
| #14520854 | 2 |
| C16×Dic31 | 2 |
| C31×#358 | 2 |
| C4×Q32 | 31 |