Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
656 conjugacy classes of subgroups; only the 285 normal subgroups are shown.
This group has 656 conjugacy classes of subgroups — too many to draw. Only its 285 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. #14520947 | C2 | semidirect |
| 5. C4×Dic31⋊C4 | C2 | semidirect |
| 15. #11758503 | C4 | semidirect |
| 38. C4⋊Dic31 | C2×C4 | semidirect |
| 41. C4×Dic31 | C2×C4 | semidirect |
| 50. C2×C4×C31 | C4⋊C4 | semidirect |
| 102. C31 | #2296 | semidirect |
| 135. C2×C4 | Dic31⋊C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758503 | 2 |
| #14520947 | 2 |
| #14520922 | 2 |
| C4×Dic31⋊C4 | 2 |
| C22×C42×C31 | 2 |
| #2296 | 31 |