Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
398 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 141 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. #14521677 | C2 | semidirect |
| 3. #14521350 | C2 | semidirect |
| 4. #14521350 | C2 | semidirect |
| 5. #14521340 | C2 | semidirect |
| 6. #14521330 | C2 | semidirect |
| 7. #14521091 | C2 | semidirect |
| 8. #14521087 | C2 | semidirect |
| 11. C31×#424 | C2 | semidirect |
| 27. #11758447 | C22 | semidirect |
| 28. #11758446 | C22 | semidirect |
| 29. C31×C4⋊C8 | C22 | semidirect |
| 30. C31×C4⋊C8 | C22 | semidirect |
| 35. #11758406 | C22 | semidirect |
| 36. #11758406 | C22 | semidirect |
| 37. #11758406 | C22 | semidirect |
| 38. #11758405 | C22 | semidirect |
| 39. #11758405 | C22 | semidirect |
| 40. #11758405 | C22 | semidirect |
| 46. C2×D124 | Q8 | semidirect |
| 128. #424 | D31 | semidirect |
| 159. C4⋊C8 | C2×D31 | semidirect |
| 160. C4⋊C8 | C2×D31 | semidirect |
| 165. C31 | #3081 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521677 | 2 |
| #14521523 | 2 |
| #14521350 | 2 |
| #14521340 | 2 |
| #14521330 | 2 |
| #14521091 | 2 |
| #14521087 | 2 |
| #14521055 | 2 |
| C2×#11758409 | 2 |
| C31×#424 | 2 |
| #3081 | 31 |