Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
436 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 115 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×#11758409 | C2 | semidirect |
| 3. C2×#11758420 | C2 | semidirect |
| 4. C2×#11758397 | C2 | semidirect |
| 5. C2×C8×Dic31 | C2 | semidirect |
| 6. #14520918 | C2 | semidirect |
| 7. C2×C31×#102 | C2 | semidirect |
| 14. #11758517 | C4 | semidirect |
| 47. C2×C8×C31 | D4 | semidirect |
| 57. C2×C31⋊C8 | D4 | semidirect |
| 115. Dic31 | #102 | semidirect |
| 120. C2×#102 | D31 | semidirect |
| 146. C31 | #1957 | semidirect |
| 173. C2×C8 | 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×#11758409 | 2 |
| C2×#11758420 | 2 |
| C2×#11758397 | 2 |
| C2×C8×Dic31 | 2 |
| #14520918 | 2 |
| C2×C31×#102 | 2 |
| #1957 | 31 |