Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
648 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 648 conjugacy classes of subgroups — too many to draw. Only its 173 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. #14520929 | C2 | semidirect |
| 3. #14520928 | C2 | semidirect |
| 4. #14520927 | C2 | semidirect |
| 5. #14520926 | C2 | semidirect |
| 6. #14520925 | C2 | semidirect |
| 7. #14520925 | C2 | semidirect |
| 8. #14520916 | C2 | semidirect |
| 9. C31×#386 | C2 | semidirect |
| 21. #11758517 | C4 | semidirect |
| 37. C2×D4×C31 | C2×C4 | semidirect |
| 47. C2×C22⋊D31 | C2×C4 | semidirect |
| 48. C2×C22⋊D31 | C2×C4 | semidirect |
| 56. C2×D124 | C2×C4 | semidirect |
| 67. C4×Dic31 | C2×C4 | semidirect |
| 147. #386 | D31 | semidirect |
| 179. C31 | #2380 | semidirect |
| 194. C2×D4 | C4×D31 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758517 | 2 |
| #14520929 | 2 |
| #14520928 | 2 |
| #14520927 | 2 |
| #14520926 | 2 |
| #14520925 | 2 |
| #14520916 | 2 |
| C31×#386 | 2 |
| #2380 | 31 |