Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
368 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 129 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. #14521453 | C2 | semidirect |
| 3. #14521427 | C2 | semidirect |
| 4. #14521398 | C2 | semidirect |
| 7. Q16×Dic31 | C2 | semidirect |
| 8. #14521143 | C2 | semidirect |
| 9. #14521141 | C2 | semidirect |
| 83. C2×Dic31 | Q16 | semidirect |
| 153. C31 | #3170 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521601 | 2 |
| #14521453 | 2 |
| #14521427 | 2 |
| #14521398 | 2 |
| #14521290 | 2 |
| #14521288 | 2 |
| Q16×Dic31 | 2 |
| #14521143 | 2 |
| #14521141 | 2 |
| C2×C8×Dic31 | 2 |
| C31×#467 | 2 |
| #3170 | 31 |