Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
352 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 352 conjugacy classes of subgroups — too many to draw. Only its 133 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. #16811330 | C2 | semidirect |
| 2. #16811028 | C2 | semidirect |
| 3. #16811024 | C2 | semidirect |
| 4. #16810921 | C2 | semidirect |
| 5. #16810913 | C2 | semidirect |
| 6. C8×Dic106 | C2 | semidirect |
| 33. D8×C53 | Q8 | semidirect |
| 90. C53 | #3380 | semidirect |
| 115. D8 | Dic106 | semidirect |