Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
262 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 262 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. #14521097 | C2 | semidirect |
| 3. #14521072 | C2 | semidirect |
| 5. #14520819 | C2 | semidirect |
| 6. #14520808 | C2 | semidirect |
| 19. #11758425 | C4 | semidirect |
| 20. #11758425 | C4 | semidirect |
| 120. C31 | #1861 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521816 | 2 |
| #14521097 | 2 |
| #14521072 | 2 |
| C2×#11758425 | 2 |
| #14520819 | 2 |
| #14520808 | 2 |
| C31×#421 | 2 |
| #1861 | 31 |