Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
336 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 336 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. #14521778 | C2 | semidirect |
| 4. #14521399 | C2 | semidirect |
| 5. #14521358 | C2 | semidirect |
| 8. #14521173 | C2 | semidirect |
| 9. Q16×Dic31 | C2 | semidirect |
| 11. C31×#462 | C2 | semidirect |
| 119. #462 | D31 | semidirect |
| 156. C31 | #3364 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521778 | 2 |
| #14521773 | 2 |
| #14521405 | 2 |
| #14521399 | 2 |
| #14521358 | 2 |
| #14521330 | 2 |
| #14521273 | 2 |
| #14521173 | 2 |
| Q16×Dic31 | 2 |
| C4×#92481 | 2 |
| C31×#462 | 2 |
| #3364 | 31 |