Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
344 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 79 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. #14521815 | C2 | semidirect |
| 3. #14521055 | C2 | semidirect |
| 4. #14521053 | C2 | semidirect |
| 5. #14521022 | C2 | semidirect |
| 6. #14520805 | C2 | semidirect |
| 7. C31×H(3,ℤ/4) | C2 | semidirect |
| 20. #11758452 | C4 | semidirect |
| 21. #11758451 | C4 | semidirect |
| 44. C2×C8×C31 | D4 | semidirect |
| 57. C2×C31⋊C8 | D4 | semidirect |
| 116. H(3,ℤ/4) | D31 | semidirect |
| 140. C31 | #1910 | semidirect |
| 165. C2×C8 | D124 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521815 | 2 |
| #14521618 | 2 |
| #14521055 | 2 |
| #14521053 | 2 |
| #14521022 | 2 |
| #14520805 | 2 |
| C31×H(3,ℤ/4) | 2 |
| #1910 | 31 |