Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
548 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 548 conjugacy classes of subgroups — too many to draw. Only its 145 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. C2×#11758485 | C2 | semidirect |
| 2. #14521599 | C2 | semidirect |
| 3. C2×C4×D124 | C2 | semidirect |
| 4. #14521265 | C2 | semidirect |
| 5. #14521255 | C2 | semidirect |
| 6. #14521245 | C2 | semidirect |
| 7. #14521051 | C2 | semidirect |
| 8. C31×#423 | C2 | semidirect |
| 21. #11758452 | C22 | semidirect |
| 22. #11758451 | C22 | semidirect |
| 29. #11758446 | C22 | semidirect |
| 30. C31×C4⋊C8 | C22 | semidirect |
| 31. C31×C4⋊C8 | C22 | semidirect |
| 32. #11758409 | C22 | semidirect |
| 33. #11758404 | C22 | semidirect |
| 46. C2×D124 | D4 | semidirect |
| 119. C4×C31 | AGL(1,ℤ/8) | semidirect |
| 130. #423 | D31 | semidirect |
| 159. C4⋊C8 | C2×D31 | semidirect |
| 160. C4⋊C8 | C2×D31 | semidirect |
| 163. C31 | #3036 | semidirect |
| 250. C4 | #11758485 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758485 | 2 |
| #14521599 | 2 |
| C2×C4×D124 | 2 |
| #14521265 | 2 |
| #14521255 | 2 |
| #14521245 | 2 |
| #14521051 | 2 |
| C31×#423 | 2 |
| #3036 | 31 |