Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
476 conjugacy classes of subgroups; only the 213 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 213 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 |
|---|---|---|
| 3. #14521090 | C2 | semidirect |
| 4. #14521089 | C2 | semidirect |
| 5. #14521087 | C2 | semidirect |
| 6. #14521086 | C2 | semidirect |
| 7. #107×D31 | C2 | semidirect |
| 8. C2×C31×#107 | C2 | semidirect |
| 15. #11758478 | C4 | semidirect |
| 38. C2×C8×C31 | C2×C4 | semidirect |
| 50. #92474 | C2×C4 | semidirect |
| 52. #92469 | C2×C4 | semidirect |
| 53. C8×D31 | C2×C4 | semidirect |
| 96. C2×#107 | D31 | semidirect |
| 122. C31 | #2913 | semidirect |
| 136. 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×#11758478 | 2 |
| #14521530 | 2 |
| #14521090 | 2 |
| #14521089 | 2 |
| #14521087 | 2 |
| #14521086 | 2 |
| #107×D31 | 2 |
| C2×C31×#107 | 2 |
| #2913 | 31 |