Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
386 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 125 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. #14521387 | C2 | semidirect |
| 3. #14521341 | C2 | semidirect |
| 4. #14521336 | C2 | semidirect |
| 5. #14521256 | C2 | semidirect |
| 6. #14521251 | C2 | semidirect |
| 8. #14521154 | C2 | semidirect |
| 9. #14521147 | C2 | semidirect |
| 10. #14521106 | C2 | semidirect |
| 11. C31×#533 | C2 | semidirect |
| 132. #533 | 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 |
|---|---|
| C4×#92495 | 2 |
| #14521387 | 2 |
| #14521341 | 2 |
| #14521336 | 2 |
| #14521256 | 2 |
| #14521251 | 2 |
| #14521209 | 2 |
| #14521154 | 2 |
| #14521147 | 2 |
| #14521106 | 2 |
| C31×#533 | 2 |
| #3116 | 31 |