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. #14521089 | C2 | semidirect |
| 4. #14521088 | C2 | semidirect |
| 5. #14521087 | C2 | semidirect |
| 6. #14521084 | C2 | semidirect |
| 7. #106×D31 | C2 | semidirect |
| 8. C2×C31×#106 | 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 |
| 94. C2×#106 | D31 | semidirect |
| 119. C31 | #2912 | semidirect |
| 133. 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 |
| #14521089 | 2 |
| #14521088 | 2 |
| #14521087 | 2 |
| #14521084 | 2 |
| #106×D31 | 2 |
| C2×C31×#106 | 2 |
| #2912 | 31 |