Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
142 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 53 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. #16810426 | C2 | semidirect |
| 4. #16810399 | C2 | semidirect |
| 5. C53×#500 | C2 | semidirect |
| 57. #500 | D53 | semidirect |
| 62. C53 | #2243 | semidirect |