Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
376 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 131 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 |
|---|---|---|
| 3. #14521355 | C2 | semidirect |
| 4. #14521354 | C2 | semidirect |
| 5. #14521341 | C2 | semidirect |
| 6. #14521335 | C2 | semidirect |
| 7. #14521334 | C2 | semidirect |
| 11. C31×#477 | C2 | semidirect |
| 46. Q8×D31 | Q8 | semidirect |
| 132. #477 | D31 | semidirect |
| 173. C31 | #3078 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521604 | 2 |
| C4×Q8×D31 | 2 |
| #14521355 | 2 |
| #14521354 | 2 |
| #14521341 | 2 |
| #14521335 | 2 |
| #14521334 | 2 |
| #14521090 | 2 |
| #14521071 | 2 |
| #14521056 | 2 |
| C31×#477 | 2 |
| #3078 | 31 |