Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
700 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 700 conjugacy classes of subgroups — too many to draw. Only its 149 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. C2×#11758486 | C2 | semidirect |
| 3. C22×Dic124 | C2 | semidirect |
| 4. #14521620 | C2 | semidirect |
| 5. #14521213 | C2 | semidirect |
| 6. #14521207 | C2 | semidirect |
| 7. #14521059 | C2 | semidirect |
| 8. #14521046 | C2 | semidirect |
| 9. C31×#408 | C2 | semidirect |
| 144. #408 | D31 | semidirect |
| 177. C31 | #3011 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758567 | 2 |
| C2×#11758486 | 2 |
| C22×Dic124 | 2 |
| #14521620 | 2 |
| #14521213 | 2 |
| #14521207 | 2 |
| #14521059 | 2 |
| #14521046 | 2 |
| C31×#408 | 2 |
| #3011 | 31 |