Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
504 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 504 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×#11758481 | C2 | semidirect |
| 2. C2×#11758489 | C2 | semidirect |
| 3. #14521717 | C2 | semidirect |
| 4. #14521424 | C2 | semidirect |
| 5. #14521286 | C2 | semidirect |
| 6. #14521248 | C2 | semidirect |
| 7. #14521195 | C2 | semidirect |
| 8. #14521192 | C2 | semidirect |
| 9. #14521143 | C2 | semidirect |
| 10. C8×C22⋊D31 | C2 | semidirect |
| 11. C31×#466 | C2 | semidirect |
| 76. Dic124 | D4 | semidirect |
| 135. Dic31 | #135 | semidirect |
| 141. #466 | D31 | semidirect |
| 183. C31 | #3287 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758481 | 2 |
| C2×#11758489 | 2 |
| #14521717 | 2 |
| #14521424 | 2 |
| #14521286 | 2 |
| #14521248 | 2 |
| #14521195 | 2 |
| #14521192 | 2 |
| #14521143 | 2 |
| C8×C22⋊D31 | 2 |
| C31×#466 | 2 |
| #3287 | 31 |