Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
466 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 466 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 |
|---|---|---|
| 1. #14521847 | C2 | semidirect |
| 2. C2×#11758485 | C2 | semidirect |
| 3. C2×#11758526 | C2 | semidirect |
| 4. #14521815 | C2 | semidirect |
| 5. #14521318 | C2 | semidirect |
| 6. #14521315 | C2 | semidirect |
| 7. #14521097 | C2 | semidirect |
| 8. C2×#11758411 | C2 | semidirect |
| 9. C31×#413 | C2 | semidirect |
| 20. #11758519 | C22 | semidirect |
| 21. C2×#92481 | C22 | semidirect |
| 22. #11758509 | C22 | semidirect |
| 23. C2×#92479 | C22 | semidirect |
| 28. #11758484 | C22 | semidirect |
| 33. C31×#101 | C22 | semidirect |
| 34. C31×#100 | C22 | semidirect |
| 35. #11758411 | C22 | semidirect |
| 36. #11758410 | C22 | semidirect |
| 148. #413 | D31 | semidirect |
| 181. #101 | C2×D31 | semidirect |
| 183. #100 | C2×D31 | semidirect |
| 184. C31 | #3068 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14521847 | 2 |
| C2×#11758485 | 2 |
| C2×#11758526 | 2 |
| #14521815 | 2 |
| #14521318 | 2 |
| #14521315 | 2 |
| #14521097 | 2 |
| C2×#11758411 | 2 |
| C31×#413 | 2 |
| #3068 | 31 |