Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
208 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 208 conjugacy classes of subgroups — too many to draw. Only its 57 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 |
|---|---|---|
| 2. #14521401 | C2 | semidirect |
| 3. #14521397 | C2 | semidirect |
| 4. #14521396 | C2 | semidirect |
| 5. #14521395 | C2 | semidirect |
| 6. #14520771 | C2 | semidirect |
| 7. C31×#492 | C2 | semidirect |
| 71. #492 | D31 | semidirect |
| 95. C31 | #1717 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521425 | 2 |
| #14521401 | 2 |
| #14521397 | 2 |
| #14521396 | 2 |
| #14521395 | 2 |
| #14520771 | 2 |
| C31×#492 | 2 |
| #1717 | 31 |