Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
292 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 3. C2×C8×Dic53 | C2 | semidirect |
| 5. #16810519 | C2 | semidirect |
| 6. #16810385 | C2 | semidirect |
| 7. C53×#340 | C2 | semidirect |
| 15. #13133139 | C4 | semidirect |
| 125. #340 | D53 | semidirect |
| 126. C53 | #1934 | semidirect |