Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
404 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 141 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. #16811026 | C2 | semidirect |
| 3. #16810971 | C2 | semidirect |
| 4. #16810936 | C2 | semidirect |
| 5. #16810900 | C2 | semidirect |
| 6. #16810676 | C2 | semidirect |
| 7. C2×C4⋊Q8×C53 | C2 | semidirect |
| 101. C2×C4⋊Q8 | D53 | semidirect |
| 107. C53 | #3226 | semidirect |