Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
342 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 342 conjugacy classes of subgroups — too many to draw. Only its 123 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. #14521445 | C2 | semidirect |
| 3. #14521387 | C2 | semidirect |
| 4. #14521379 | C2 | semidirect |
| 5. #14521341 | C2 | semidirect |
| 6. #14521334 | C2 | semidirect |
| 7. #14521305 | C2 | semidirect |
| 8. C4×#92482 | C2 | semidirect |
| 10. #14521089 | C2 | semidirect |
| 157. C31 | #3356 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521769 | 2 |
| #14521445 | 2 |
| #14521387 | 2 |
| #14521379 | 2 |
| #14521341 | 2 |
| #14521334 | 2 |
| #14521305 | 2 |
| C4×#92482 | 2 |
| #14521127 | 2 |
| #14521089 | 2 |
| C31×#554 | 2 |
| #3356 | 31 |