Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
456 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 129 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 |
|---|---|---|
| 1. C22×C4⋊Dic31 | C2 | semidirect |
| 2. C2×#11758420 | C2 | semidirect |
| 3. C2×C22⋊(C31⋊C8) | C2 | semidirect |
| 4. #14520811 | C2 | semidirect |
| 11. C31×#121 | C4 | semidirect |
| 28. C2×D4×C31 | C2×C4 | semidirect |
| 41. C4⋊C4×C31 | C2×C4 | semidirect |
| 45. C4⋊Dic31 | D4 | semidirect |
| 98. C22×C31 | #102 | semidirect |
| 131. #121 | Dic31 | semidirect |
| 139. C31 | #1874 | semidirect |
| 148. C2×D4 | C2×Dic31 | semidirect |
| 167. C4⋊C4 | C2×Dic31 | semidirect |
| 217. C22 | #11758420 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C4⋊Dic31 | 2 |
| C2×#11758420 | 2 |
| C2×C22⋊(C31⋊C8) | 2 |
| #14520811 | 2 |
| C2×C31×#121 | 2 |
| #1874 | 31 |