Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
354 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 354 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 |
|---|---|---|
| 1. #14521756 | C2 | semidirect |
| 2. #14521452 | C2 | semidirect |
| 3. #14521390 | C2 | semidirect |
| 4. #14521360 | C2 | semidirect |
| 5. #14521341 | C2 | semidirect |
| 6. #14521339 | C2 | semidirect |
| 7. #14521293 | C2 | semidirect |
| 8. C4×#92480 | C2 | semidirect |
| 9. #14521127 | C2 | semidirect |
| 10. #14521092 | C2 | semidirect |
| 162. C31 | #3357 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521756 | 2 |
| #14521452 | 2 |
| #14521390 | 2 |
| #14521360 | 2 |
| #14521341 | 2 |
| #14521339 | 2 |
| #14521293 | 2 |
| C4×#92480 | 2 |
| #14521127 | 2 |
| #14521092 | 2 |
| C31×#555 | 2 |
| #3357 | 31 |