Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
1144 conjugacy classes of subgroups; only the 269 normal subgroups are shown.
This group has 1144 conjugacy classes of subgroups — too many to draw. Only its 269 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. #14520912 | C2 | semidirect |
| 4. #14520911 | C2 | semidirect |
| 5. #14520910 | C2 | semidirect |
| 6. #95×D31 | C2 | semidirect |
| 7. C31×#381 | C2 | semidirect |
| 12. C22×C4×D31 | C4 | semidirect |
| 20. C31×#95 | C22 | semidirect |
| 21. C31⋊#95 | C22 | semidirect |
| 22. C31⋊#95 | C22 | semidirect |
| 30. C22×C4×C31 | C2×C4 | semidirect |
| 34. C22×Dic31 | C2×C4 | semidirect |
| 43. C2×C4×D31 | C2×C4 | semidirect |
| 96. #381 | D31 | direct (N × H) |
| 103. D31 | #381 | direct (N × H) |
| 118. #95 | C2×D31 | semidirect |
| 119. C31 | C2×#381 | semidirect |
| 138. C22×C4 | C4×D31 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×C4×D31 | 2 |
| C2×C22⋊C4×D31 | 2 |
| #14520912 | 2 |
| #14520911 | 2 |
| #14520910 | 2 |
| #95×D31 | 2 |
| C31×#381 | 2 |
| C2×#381 | 31 |