Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
484 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 484 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×#11758496 | C2 | semidirect |
| 2. C2×#11758481 | C2 | semidirect |
| 3. #14521701 | C2 | semidirect |
| 4. #14521427 | C2 | semidirect |
| 5. #14521291 | C2 | semidirect |
| 6. #14521253 | C2 | semidirect |
| 7. #14521214 | C2 | semidirect |
| 8. #14521209 | C2 | semidirect |
| 9. #14521131 | C2 | semidirect |
| 10. C8×C22⋊D31 | C2 | semidirect |
| 11. C31×#467 | C2 | semidirect |
| 77. D248 | D4 | semidirect |
| 130. Dic31 | #135 | semidirect |
| 136. #467 | D31 | semidirect |
| 177. C31 | #3283 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758496 | 2 |
| C2×#11758481 | 2 |
| #14521701 | 2 |
| #14521427 | 2 |
| #14521291 | 2 |
| #14521253 | 2 |
| #14521214 | 2 |
| #14521209 | 2 |
| #14521131 | 2 |
| C8×C22⋊D31 | 2 |
| C31×#467 | 2 |
| #3283 | 31 |