Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
356 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 145 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. #14521454 | C2 | semidirect |
| 3. #14521450 | C2 | semidirect |
| 4. #14521445 | C2 | semidirect |
| 7. C31×#500 | C2 | semidirect |
| 43. C8×D31 | Q8 | semidirect |
| 75. #500 | D31 | semidirect |
| 100. C31 | #3160 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521604 | 2 |
| #14521454 | 2 |
| #14521450 | 2 |
| #14521445 | 2 |
| #14521086 | 2 |
| C4×C8×D31 | 2 |
| C31×#500 | 2 |
| #3160 | 31 |