Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
244 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 244 conjugacy classes of subgroups — too many to draw. Only its 63 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. #14521602 | C2 | semidirect |
| 5. #14520821 | C2 | semidirect |
| 6. #14520808 | C2 | semidirect |
| 7. C31×H(3,ℤ/4) | C2 | semidirect |
| 30. C2×D124 | Q8 | semidirect |
| 33. C2×Dic62 | Q8 | semidirect |
| 104. H(3,ℤ/4) | D31 | semidirect |
| 125. C31 | #2031 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521602 | 2 |
| #14521067 | 2 |
| C2×#11758413 | 2 |
| #14521022 | 2 |
| #14520821 | 2 |
| #14520808 | 2 |
| C31×H(3,ℤ/4) | 2 |
| #2031 | 31 |