Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
228 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 228 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 |
|---|---|---|
| 1. C2×#13133153 | C2 | semidirect |
| 2. #16810666 | C2 | semidirect |
| 6. #16810391 | C2 | semidirect |
| 7. C53×#424 | C2 | semidirect |
| 100. #424 | D53 | semidirect |
| 105. C53 | #2063 | semidirect |