Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
154 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 154 conjugacy classes of subgroups — too many to draw. Only its 43 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 |
|---|---|---|
| 1. #14521490 | C2 | semidirect |
| 3. #14521434 | C2 | semidirect |
| 4. #14521165 | C2 | semidirect |
| 5. #14520869 | C2 | semidirect |
| 6. #14520861 | C2 | semidirect |
| 7. C31×#362 | C2 | semidirect |
| 76. #362 | D31 | semidirect |
| 97. C31 | #2212 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521490 | 2 |
| #14521487 | 2 |
| #14521434 | 2 |
| #14521165 | 2 |
| #14520869 | 2 |
| #14520861 | 2 |
| C31×#362 | 2 |
| #2212 | 31 |