Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
428 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 107 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×Dic31⋊C8 | C2 | semidirect |
| 3. C2×#11758409 | C2 | semidirect |
| 4. C2×#11758420 | C2 | semidirect |
| 5. C2×#11758397 | C2 | semidirect |
| 6. C4⋊C4×Dic31 | C2 | semidirect |
| 7. C2×C31×#102 | C2 | semidirect |
| 15. #11758517 | C4 | semidirect |
| 55. C4⋊C4×C31 | D4 | semidirect |
| 57. C4⋊Dic31 | D4 | semidirect |
| 138. Dic31 | #102 | semidirect |
| 144. C2×#102 | D31 | semidirect |
| 173. C31 | #1982 | semidirect |
| 208. C4⋊C4 | C22⋊D31 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758517 | 2 |
| C2×Dic31⋊C8 | 2 |
| C2×#11758409 | 2 |
| C2×#11758420 | 2 |
| C2×#11758397 | 2 |
| C4⋊C4×Dic31 | 2 |
| C2×C31×#102 | 2 |
| #1982 | 31 |