Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
232 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 232 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 |
|---|---|---|
| 1. #14521089 | C2 | semidirect |
| 4. #14521004 | C2 | semidirect |
| 5. #14520818 | C2 | semidirect |
| 6. #14520814 | C2 | semidirect |
| 17. #11758421 | C4 | 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 |
| #14521054 | 2 |
| C2×#11758421 | 2 |
| #14521004 | 2 |
| #14520818 | 2 |
| #14520814 | 2 |
| C2×C31×#102 | 2 |
| #1931 | 31 |