Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
340 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 123 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. #14521417 | C2 | semidirect |
| 3. #14521399 | C2 | semidirect |
| 4. #14521356 | C2 | semidirect |
| 5. #14521344 | C2 | semidirect |
| 8. #14521180 | C2 | semidirect |
| 11. C31×#557 | C2 | semidirect |
| 113. #557 | D31 | semidirect |
| 157. C31 | #3372 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521759 | 2 |
| #14521417 | 2 |
| #14521399 | 2 |
| #14521356 | 2 |
| #14521344 | 2 |
| #14521251 | 2 |
| #14521180 | 2 |
| #14521147 | 2 |
| C4×#92481 | 2 |
| C31×#557 | 2 |
| #3372 | 31 |