Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
304 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 304 conjugacy classes of subgroups — too many to draw. Only its 79 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 |
|---|---|---|
| 4. #16810632 | C2 | semidirect |
| 5. #16810395 | C2 | semidirect |
| 6. #16810381 | C2 | semidirect |
| 7. C2×#101×C53 | C2 | semidirect |
| 11. C2×#11719925 | C4 | semidirect |
| 12. C2×#11719924 | C4 | semidirect |
| 112. C2×#101 | D53 | semidirect |
| 115. C53 | #1902 | semidirect |