Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
264 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
|---|---|---|
| 2. #14521102 | C2 | semidirect |
| 3. #14520782 | C2 | semidirect |
| 4. C31×#382 | C2 | semidirect |
| 11. #11758451 | C4 | semidirect |
| 13. C4×D124 | C4 | semidirect |
| 14. #11758446 | C4 | semidirect |
| 85. #382 | D31 | semidirect |
| 108. C31 | #1517 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521599 | 2 |
| #14521102 | 2 |
| #14520782 | 2 |
| C31×#382 | 2 |
| #1517 | 31 |