Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
134 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 134 conjugacy classes of subgroups — too many to draw. Only its 41 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. #14521096 | C2 | semidirect |
| 3. #14520873 | C2 | semidirect |
| 4. #14520872 | C2 | semidirect |
| 5. #14520862 | C2 | semidirect |
| 6. #14520830 | C2 | semidirect |
| 7. C31×#361 | C2 | semidirect |
| 67. #361 | D31 | semidirect |
| 84. C31 | #2238 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521299 | 2 |
| #14521096 | 2 |
| #14520873 | 2 |
| #14520872 | 2 |
| #14520862 | 2 |
| #14520830 | 2 |
| C31×#361 | 2 |
| #2238 | 31 |