Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
282 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 282 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 |
|---|---|---|
| 1. #14521677 | C2 | semidirect |
| 5. #14520817 | C2 | semidirect |
| 6. #14520809 | C2 | semidirect |
| 7. C31×#339 | C2 | semidirect |
| 34. C2×D124 | Q8 | semidirect |
| 113. #339 | D31 | semidirect |
| 137. C31 | #2027 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521677 | 2 |
| #14521055 | 2 |
| #14521053 | 2 |
| #14520951 | 2 |
| #14520817 | 2 |
| #14520809 | 2 |
| C31×#339 | 2 |
| #2027 | 31 |