Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
230 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 75 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. C2×C8×Dic31 | C2 | semidirect |
| 5. #14520813 | C2 | semidirect |
| 6. #14520808 | C2 | semidirect |
| 7. C31×#424 | C2 | semidirect |
| 19. #11758398 | C4 | semidirect |
| 20. #11758397 | C4 | semidirect |
| 86. #424 | D31 | semidirect |
| 111. C31 | #1937 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758413 | 2 |
| #14521043 | 2 |
| #14521015 | 2 |
| C2×C8×Dic31 | 2 |
| #14520813 | 2 |
| #14520808 | 2 |
| C31×#424 | 2 |
| #1937 | 31 |