Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
162 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 59 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. #16810717 | C2 | semidirect |
| 4. #16810426 | C2 | semidirect |
| 6. C16×Dic53 | C2 | semidirect |
| 7. C53×#367 | C2 | semidirect |
| 12. #13133162 | C4 | semidirect |
| 32. Dic212 | C2×C4 | semidirect |
| 35. C16×C53 | C2×C4 | semidirect |
| 62. Dic53 | SD32 | semidirect |
| 71. #367 | D53 | semidirect |
| 75. C53 | C4×SD32 | semidirect |
| 104. C16 | C4×D53 | semidirect |