Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
304 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 304 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 |
|---|---|---|
| 3. #14521057 | C2 | semidirect |
| 4. C2×#11758412 | C2 | semidirect |
| 5. #14520819 | C2 | semidirect |
| 6. C31⋊#338 | C2 | semidirect |
| 16. C2×#92482 | C4 | semidirect |
| 17. C2×#92480 | C4 | semidirect |
| 132. C31 | #1902 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758528 | 2 |
| #14521816 | 2 |
| #14521057 | 2 |
| C2×#11758412 | 2 |
| #14520819 | 2 |
| C31⋊#338 | 2 |
| C31×#421 | 2 |
| #1902 | 31 |