Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
482 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 123 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. C2×#11758489 | C2 | semidirect |
| 2. C2×Q16×D31 | C2 | semidirect |
| 3. #14521707 | C2 | semidirect |
| 4. #14521287 | C2 | semidirect |
| 5. #14521282 | C2 | semidirect |
| 6. #14521268 | C2 | semidirect |
| 7. #14521208 | C2 | semidirect |
| 8. #14521186 | C2 | semidirect |
| 9. C4×Dic124 | C2 | semidirect |
| 10. C8×D124 | C2 | semidirect |
| 11. C31×#495 | C2 | semidirect |
| 77. Dic124 | D4 | semidirect |
| 121. C2×D31 | #135 | semidirect |
| 134. #495 | D31 | semidirect |
| 177. C31 | #3285 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758489 | 2 |
| C2×Q16×D31 | 2 |
| #14521707 | 2 |
| #14521287 | 2 |
| #14521282 | 2 |
| #14521268 | 2 |
| #14521208 | 2 |
| #14521186 | 2 |
| C4×Dic124 | 2 |
| C8×D124 | 2 |
| C31×#495 | 2 |
| #3285 | 31 |