Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
484 conjugacy classes of subgroups; only the 189 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 189 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. #14521529 | C2 | semidirect |
| 3. #14521151 | C2 | semidirect |
| 4. C4×Dic124 | C2 | semidirect |
| 5. C4×D248 | C2 | semidirect |
| 6. C2×#11758406 | C2 | semidirect |
| 7. #14521051 | C2 | semidirect |
| 8. C31×#405 | C2 | semidirect |
| 15. #11758481 | C4 | semidirect |
| 33. #92495 | C2×C4 | semidirect |
| 39. C2×C8×C31 | C2×C4 | semidirect |
| 52. Dic124 | C2×C4 | semidirect |
| 53. D248 | C2×C4 | semidirect |
| 54. #92470 | C2×C4 | semidirect |
| 98. #405 | D31 | semidirect |
| 124. C31 | #2951 | semidirect |
| 138. C2×C8 | C4×D31 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758481 | 2 |
| #14521529 | 2 |
| #14521151 | 2 |
| C4×Dic124 | 2 |
| C4×D248 | 2 |
| C2×#11758406 | 2 |
| #14521051 | 2 |
| C31×#405 | 2 |
| #2951 | 31 |