Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
480 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 165 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. C2×#11758465 | C2 | semidirect |
| 3. #14521327 | C2 | direct (N × H) |
| 4. C2×#11758406 | C2 | semidirect |
| 5. C2×#11758395 | C2 | semidirect |
| 6. C2×Dic31⋊C8 | C2 | semidirect |
| 23. #11758465 | C22 | semidirect |
| 26. #11758406 | C22 | semidirect |
| 27. Dic31⋊C8 | C22 | semidirect |
| 28. #11758395 | C22 | semidirect |
| 32. C2×D4×C31 | Q8 | semidirect |
| 65. D4×C31 | C2×Q8 | semidirect |
| 110. C2×C31 | #474 | semidirect |
| 134. C31 | C2×#474 | semidirect |
| 140. C2×D4 | Dic62 | semidirect |
| 172. D4 | C2×Dic62 | semidirect |
| 207. C2 | #14521327 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758465 | 2 |
| C2×D4×Dic31 | 2 |
| #14521327 | 2 |
| C2×#11758406 | 2 |
| C2×#11758395 | 2 |
| C2×Dic31⋊C8 | 2 |
| C2×#11758420 | 2 |
| C2×C31×#102 | 2 |
| C2×#474 | 31 |