Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
142 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 47 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. #16810427 | C2 | semidirect |
| 6. #16810398 | C2 | semidirect |
| 7. C53×#358 | C2 | semidirect |
| 71. #358 | D53 | semidirect |
| 75. C53 | #2243 | semidirect |