Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
244 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 244 conjugacy classes of subgroups — too many to draw. Only its 67 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 |
|---|---|---|
| 4. #14520819 | C2 | semidirect |
| 5. #14520809 | C2 | semidirect |
| 6. #14520805 | C2 | semidirect |
| 7. C31×#533 | C2 | semidirect |
| 31. C2×D124 | Q8 | semidirect |
| 33. C2×Dic62 | Q8 | semidirect |
| 97. #533 | D31 | semidirect |
| 124. C31 | #2031 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521067 | 2 |
| C2×#11758393 | 2 |
| #14521022 | 2 |
| #14520819 | 2 |
| #14520809 | 2 |
| #14520805 | 2 |
| C31×#533 | 2 |
| #2031 | 31 |