Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
430 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 430 conjugacy classes of subgroups — too many to draw. Only its 125 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. C4×#92495 | C2 | semidirect |
| 2. #14521370 | C2 | semidirect |
| 3. #14521331 | C2 | semidirect |
| 4. #14521326 | C2 | semidirect |
| 5. #14521246 | C2 | semidirect |
| 6. #14521241 | C2 | semidirect |
| 7. #14521192 | C2 | semidirect |
| 8. #14521159 | C2 | semidirect |
| 9. #14521149 | C2 | semidirect |
| 10. #14521106 | C2 | semidirect |
| 11. C31×#532 | C2 | semidirect |
| 109. D124 | #41 | semidirect |
| 114. Dic62 | #41 | semidirect |
| 139. #532 | D31 | semidirect |
| 187. C31 | #3115 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#92495 | 2 |
| #14521370 | 2 |
| #14521331 | 2 |
| #14521326 | 2 |
| #14521246 | 2 |
| #14521241 | 2 |
| #14521192 | 2 |
| #14521159 | 2 |
| #14521149 | 2 |
| #14521106 | 2 |
| C31×#532 | 2 |
| #3115 | 31 |