Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
156 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 156 conjugacy classes of subgroups — too many to draw. Only its 69 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 |
|---|---|---|
| 4. #16810450 | C2 | semidirect |
| 5. #16810449 | C2 | semidirect |
| 6. #16810448 | C2 | semidirect |
| 7. C53×#367 | C2 | semidirect |
| 11. #13133156 | C4 | semidirect |
| 33. C16×C53 | C2×C4 | semidirect |
| 34. #11719908 | C2×C4 | semidirect |
| 68. #367 | D53 | semidirect |
| 71. C53 | #2159 | semidirect |
| 98. C16 | C4×D53 | semidirect |