Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
386 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 119 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. #14521604 | C2 | semidirect |
| 3. #14521392 | C2 | semidirect |
| 4. #14521336 | C2 | semidirect |
| 5. #14521259 | C2 | semidirect |
| 6. #14521255 | C2 | semidirect |
| 8. #14521153 | C2 | semidirect |
| 9. #14521148 | C2 | semidirect |
| 10. #14521105 | C2 | semidirect |
| 11. C31×#477 | C2 | semidirect |
| 135. #477 | D31 | semidirect |
| 179. C31 | #3116 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521604 | 2 |
| C4×#92499 | 2 |
| #14521392 | 2 |
| #14521336 | 2 |
| #14521259 | 2 |
| #14521255 | 2 |
| #14521214 | 2 |
| #14521153 | 2 |
| #14521148 | 2 |
| #14521105 | 2 |
| C31×#477 | 2 |
| #3116 | 31 |