Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
244 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 244 conjugacy classes of subgroups — too many to draw. Only its 65 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. #16811180 | C2 | semidirect |
| 4. #16810395 | C2 | semidirect |
| 5. #16810383 | C2 | semidirect |
| 6. #16810380 | C2 | semidirect |
| 27. C2×Q8×C53 | Q8 | semidirect |
| 29. C2×D4×C53 | Q8 | semidirect |
| 109. C53 | #2031 | semidirect |
| 130. C2×Q8 | Dic106 | semidirect |
| 132. C2×D4 | Dic106 | semidirect |