Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
160 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 160 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. #16811027 | C2 | semidirect |
| 3. #16810425 | C2 | semidirect |
| 4. #16810424 | C2 | semidirect |
| 5. #16810423 | C2 | semidirect |
| 6. C16×Dic53 | C2 | semidirect |
| 7. C53×#357 | C2 | semidirect |
| 78. #357 | D53 | semidirect |
| 80. C53 | #2240 | semidirect |