Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
334 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 334 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 4. #14521058 | C2 | semidirect |
| 5. #14520818 | C2 | semidirect |
| 6. #14520809 | C2 | semidirect |
| 7. C31×#391 | C2 | semidirect |
| 14. #11758519 | C4 | semidirect |
| 33. C2×Q8×C31 | C2×C4 | semidirect |
| 63. #92474 | C2×C4 | semidirect |
| 123. #391 | D31 | semidirect |
| 152. C31 | #1882 | semidirect |
| 163. C2×Q8 | C4×D31 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758519 | 2 |
| #14521530 | 2 |
| C2×#11758393 | 2 |
| #14521058 | 2 |
| #14520818 | 2 |
| #14520809 | 2 |
| C31×#391 | 2 |
| #1882 | 31 |