Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
126 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 126 conjugacy classes of subgroups — too many to draw. Only its 49 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. #14521447 | C2 | semidirect |
| 2. #14520873 | C2 | semidirect |
| 3. #14520870 | C2 | semidirect |
| 17. Q16×C31 | Q8 | semidirect |
| 19. D8×C31 | Q8 | semidirect |
| 67. C31 | #2230 | semidirect |
| 70. Q16 | Dic62 | semidirect |
| 72. D8 | Dic62 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521447 | 2 |
| #14520873 | 2 |
| #14520870 | 2 |
| #14520859 | 2 |
| C31×#443 | 2 |
| #2230 | 31 |