Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
232 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 73 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. #14521089 | C2 | semidirect |
| 5. #14521007 | C2 | semidirect |
| 6. #14520813 | C2 | semidirect |
| 7. C31×#343 | C2 | semidirect |
| 15. #11758411 | C4 | semidirect |
| 100. #343 | D31 | semidirect |
| 124. C31 | #1931 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521089 | 2 |
| #14521055 | 2 |
| C2×#11758397 | 2 |
| C2×#11758411 | 2 |
| #14521007 | 2 |
| #14520813 | 2 |
| C31×#343 | 2 |
| #1931 | 31 |