Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
210 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 210 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. #14521097 | C2 | semidirect |
| 2. #14521075 | C2 | semidirect |
| 6. #14520805 | C2 | semidirect |
| 7. C31×#424 | C2 | semidirect |
| 87. #424 | D31 | semidirect |
| 110. C31 | #2098 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521097 | 2 |
| #14521075 | 2 |
| #14521067 | 2 |
| #14521065 | 2 |
| #14521015 | 2 |
| #14520805 | 2 |
| C31×#424 | 2 |
| #2098 | 31 |