Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
230 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 81 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. #14521076 | C2 | semidirect |
| 4. C2×C8×Dic31 | C2 | semidirect |
| 5. #14520814 | C2 | semidirect |
| 6. #14520808 | C2 | semidirect |
| 15. C31×#103 | C4 | semidirect |
| 16. C31×#102 | C4 | semidirect |
| 107. #103 | Dic31 | semidirect |
| 108. #102 | Dic31 | semidirect |
| 111. C31 | #1937 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521076 | 2 |
| C2×#11758425 | 2 |
| #14521016 | 2 |
| C2×C8×Dic31 | 2 |
| #14520814 | 2 |
| #14520808 | 2 |
| C31×#416 | 2 |
| #1937 | 31 |