Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
290 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 99 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. C2×#11758406 | C2 | semidirect |
| 4. C4⋊C4×Dic31 | C2 | semidirect |
| 5. #14520811 | C2 | semidirect |
| 6. #14520803 | C2 | semidirect |
| 18. C31×#102 | C4 | semidirect |
| 138. #102 | Dic31 | semidirect |
| 140. C31 | #1925 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758406 | 2 |
| C2×#11758420 | 2 |
| #14520952 | 2 |
| C4⋊C4×Dic31 | 2 |
| #14520811 | 2 |
| #14520803 | 2 |
| C2×C31×#102 | 2 |
| #1925 | 31 |