Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
210 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 210 conjugacy classes of subgroups — too many to draw. Only its 47 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. #16811436 | C2 | semidirect |
| 2. #16811061 | C2 | semidirect |
| 3. C2×#13133160 | C2 | semidirect |
| 4. #16810894 | C2 | semidirect |
| 5. #16810429 | C2 | semidirect |
| 6. #16810408 | C2 | semidirect |
| 7. C53×#362 | C2 | semidirect |
| 95. #362 | D53 | semidirect |
| 98. C53 | #2193 | semidirect |