Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
342 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 342 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 3. #14521393 | C2 | semidirect |
| 4. #14521381 | C2 | semidirect |
| 5. #14521341 | C2 | semidirect |
| 6. #14521331 | C2 | semidirect |
| 7. #14521308 | C2 | semidirect |
| 8. C4×Dic124 | C2 | semidirect |
| 10. #14521088 | C2 | semidirect |
| 11. C31×#498 | C2 | semidirect |
| 115. #498 | D31 | semidirect |
| 157. C31 | #3356 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521773 | 2 |
| #14521760 | 2 |
| #14521393 | 2 |
| #14521381 | 2 |
| #14521341 | 2 |
| #14521331 | 2 |
| #14521308 | 2 |
| C4×Dic124 | 2 |
| #14521128 | 2 |
| #14521088 | 2 |
| C31×#498 | 2 |
| #3356 | 31 |