Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
348 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 115 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. #14521774 | C2 | semidirect |
| 3. #14521405 | C2 | semidirect |
| 5. #14521348 | C2 | semidirect |
| 6. #14521274 | C2 | semidirect |
| 8. #14521173 | C2 | semidirect |
| 9. C4×#92482 | C2 | semidirect |
| 10. #14521136 | C2 | semidirect |
| 11. C31×#475 | C2 | semidirect |
| 119. #475 | D31 | semidirect |
| 158. C31 | #3365 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521784 | 2 |
| #14521774 | 2 |
| #14521405 | 2 |
| #14521397 | 2 |
| #14521348 | 2 |
| #14521274 | 2 |
| #14521250 | 2 |
| #14521173 | 2 |
| C4×#92482 | 2 |
| #14521136 | 2 |
| C31×#475 | 2 |
| #3365 | 31 |