Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
230 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 51 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×#13133236 | C2 | semidirect |
| 2. C2×#13133162 | C2 | semidirect |
| 3. C2×#13133158 | C2 | semidirect |
| 4. #16810860 | C2 | semidirect |
| 5. #16810426 | C2 | semidirect |
| 6. #16810402 | C2 | semidirect |
| 7. C53×#357 | C2 | semidirect |
| 33. D8×C53 | D4 | semidirect |
| 40. Dic212 | D4 | semidirect |
| 95. #357 | D53 | semidirect |
| 97. C53 | #2186 | semidirect |
| 128. D8 | D212 | semidirect |