Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
322 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 322 conjugacy classes of subgroups — too many to draw. Only its 65 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. #14521011 | C2 | semidirect |
| 3. C22⋊C8×D31 | C2 | semidirect |
| 4. #14520773 | C2 | semidirect |
| 5. #14520772 | C2 | semidirect |
| 6. #14520772 | C2 | semidirect |
| 7. C31×#323 | C2 | semidirect |
| 137. #323 | D31 | semidirect |
| 166. C31 | #1471 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758461 | 2 |
| #14521011 | 2 |
| C22⋊C8×D31 | 2 |
| #14520773 | 2 |
| #14520772 | 2 |
| C31×#323 | 2 |
| #1471 | 31 |