Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
456 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 125 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×#11758397 | C2 | semidirect |
| 3. C2×C22⋊(C31⋊C8) | C2 | semidirect |
| 4. #14520811 | C2 | semidirect |
| 5. C22×C4⋊C4×C31 | C2 | semidirect |
| 14. #11758507 | C4 | semidirect |
| 39. C2×D124 | C2×C4 | semidirect |
| 42. C4⋊C4×C31 | D4 | semidirect |
| 45. C4⋊Dic31 | C2×C4 | semidirect |
| 91. C22×C31 | #102 | semidirect |
| 112. C22×C4⋊C4 | D31 | semidirect |
| 139. C31 | #1874 | semidirect |
| 167. C4⋊C4 | C22⋊D31 | semidirect |
| 217. C22 | #11758397 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758507 | 2 |
| C2×#11758397 | 2 |
| C2×C22⋊(C31⋊C8) | 2 |
| #14520811 | 2 |
| C22×C4⋊C4×C31 | 2 |
| #1874 | 31 |