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. #14521400 | C2 | semidirect |
| 5. #14521359 | C2 | semidirect |
| 8. #14521259 | C2 | semidirect |
| 9. C8×Dic62 | C2 | semidirect |
| 10. #14521141 | C2 | 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 |
| #14521769 | 2 |
| #14521402 | 2 |
| #14521400 | 2 |
| #14521359 | 2 |
| #14521329 | 2 |
| #14521269 | 2 |
| #14521259 | 2 |
| C8×Dic62 | 2 |
| #14521141 | 2 |
| C4×SD16×C31 | 2 |
| #3364 | 31 |