Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
362 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 362 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 |
|---|---|---|
| 1. #14521784 | C2 | semidirect |
| 2. #14521756 | C2 | semidirect |
| 3. #14521405 | C2 | semidirect |
| 4. #14521396 | C2 | semidirect |
| 5. #14521348 | C2 | semidirect |
| 6. #14521344 | C2 | semidirect |
| 7. #14521266 | C2 | semidirect |
| 9. C8×Dic62 | C2 | semidirect |
| 10. #14521129 | C2 | semidirect |
| 11. C4×SD16×C31 | C2 | semidirect |
| 127. C4×SD16 | D31 | semidirect |
| 163. C31 | #3361 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521784 | 2 |
| #14521756 | 2 |
| #14521405 | 2 |
| #14521396 | 2 |
| #14521348 | 2 |
| #14521344 | 2 |
| #14521266 | 2 |
| #14521244 | 2 |
| C8×Dic62 | 2 |
| #14521129 | 2 |
| C4×SD16×C31 | 2 |
| #3361 | 31 |