Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
564 conjugacy classes of subgroups; only the 373 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 373 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 |
|---|---|---|
| 2. #14521005 | C2 | semidirect |
| 3. C4×#92474 | C2 | semidirect |
| 11. C2×#92474 | C4 | semidirect |
| 15. #11758391 | C22 | semidirect |
| 16. C4×C31⋊C8 | C22 | semidirect |
| 29. #92474 | C2×C4 | semidirect |
| 30. C2×C31⋊C8 | C2×C4 | semidirect |
| 78. C31 | #2873 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#92474 | 2 |
| #14521005 | 2 |
| C4×#92474 | 2 |
| C2×C31×#117 | 2 |
| #2873 | 31 |