Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
448 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 157 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×#11758467 | C2 | semidirect |
| 3. #14521347 | C2 | direct (N × H) |
| 4. C2×#11758406 | C2 | semidirect |
| 5. C2×#11758396 | C2 | semidirect |
| 6. C2×Dic31⋊C8 | C2 | semidirect |
| 23. #11758467 | C22 | semidirect |
| 26. #11758406 | C22 | semidirect |
| 27. Dic31⋊C8 | C22 | semidirect |
| 28. #11758396 | C22 | semidirect |
| 108. C2×C31 | #478 | semidirect |
| 132. C31 | C2×#478 | semidirect |
| 203. C2 | #14521347 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758467 | 2 |
| C2×D4×Dic31 | 2 |
| #14521347 | 2 |
| C2×#11758406 | 2 |
| C2×#11758396 | 2 |
| C2×Dic31⋊C8 | 2 |
| C2×#11758420 | 2 |
| C2×C31×#102 | 2 |
| C2×#478 | 31 |