Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
142 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 53 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. #14521157 | C2 | semidirect |
| 4. #14520872 | C2 | semidirect |
| 5. #14520866 | C2 | semidirect |
| 7. C31×#347 | C2 | semidirect |
| 19. Dic248 | C4 | semidirect |
| 20. #11758388 | C4 | semidirect |
| 68. #347 | D31 | semidirect |
| 85. C31 | #2180 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521492 | 2 |
| #14521172 | 2 |
| #14521157 | 2 |
| #14520872 | 2 |
| #14520866 | 2 |
| #14520860 | 2 |
| C31×#347 | 2 |
| #2180 | 31 |