Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
880 conjugacy classes of subgroups; only the 229 normal subgroups are shown.
This group has 880 conjugacy classes of subgroups — too many to draw. Only its 229 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 |
|---|---|---|
| 2. C2×#11758449 | C2 | semidirect |
| 3. C2×C4⋊C4×D31 | C2 | semidirect |
| 4. #14520955 | C2 | semidirect |
| 5. #14520954 | C2 | semidirect |
| 6. #14520952 | C2 | semidirect |
| 7. #14520925 | C2 | semidirect |
| 8. #14520907 | C2 | semidirect |
| 9. C31×#390 | C2 | semidirect |
| 15. C2×#92497 | C4 | semidirect |
| 36. C2×D4×C31 | C2×C4 | semidirect |
| 45. C22×Dic31 | C2×C4 | semidirect |
| 58. C2×Dic62 | C2×C4 | semidirect |
| 102. C4×D31 | C22⋊C4 | semidirect |
| 133. #390 | D31 | semidirect |
| 165. C31 | #2311 | semidirect |
| 177. C2×D4 | C4×D31 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#92497 | 2 |
| C2×#11758449 | 2 |
| C2×C4⋊C4×D31 | 2 |
| #14520955 | 2 |
| #14520954 | 2 |
| #14520952 | 2 |
| #14520925 | 2 |
| #14520907 | 2 |
| C31×#390 | 2 |
| #2311 | 31 |