Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
382 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 382 conjugacy classes of subgroups — too many to draw. Only its 75 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. #14521625 | C2 | semidirect |
| 3. C2×#11758452 | C2 | semidirect |
| 4. C2×#11758393 | C2 | semidirect |
| 5. #14521053 | C2 | semidirect |
| 6. C2×#11758412 | C2 | semidirect |
| 7. C31×#339 | C2 | semidirect |
| 131. #339 | D31 | semidirect |
| 159. C31 | #2003 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758485 | 2 |
| #14521625 | 2 |
| C2×#11758452 | 2 |
| C2×#11758393 | 2 |
| #14521053 | 2 |
| C2×#11758412 | 2 |
| C31×#339 | 2 |
| #2003 | 31 |