Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
348 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 348 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 |
|---|---|---|
| 2. #14521778 | C2 | semidirect |
| 3. #14521405 | C2 | semidirect |
| 5. #14521352 | C2 | semidirect |
| 6. #14521334 | C2 | semidirect |
| 7. #14521273 | C2 | semidirect |
| 9. C8×Dic62 | C2 | semidirect |
| 10. #14521134 | C2 | semidirect |
| 11. C4×Q16×C31 | C2 | semidirect |
| 123. C4×Q16 | D31 | semidirect |
| 158. C31 | #3365 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521784 | 2 |
| #14521778 | 2 |
| #14521405 | 2 |
| #14521396 | 2 |
| #14521352 | 2 |
| #14521334 | 2 |
| #14521273 | 2 |
| #14521249 | 2 |
| C8×Dic62 | 2 |
| #14521134 | 2 |
| C4×Q16×C31 | 2 |
| #3365 | 31 |