Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
278 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 278 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 |
|---|---|---|
| 2. #16810665 | C2 | semidirect |
| 5. #16810530 | C2 | semidirect |
| 6. #16810384 | C2 | semidirect |
| 7. C2×#101×C53 | C2 | semidirect |
| 125. C2×#101 | D53 | semidirect |
| 128. C53 | #2038 | semidirect |