Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
230 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 70 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 |
|---|---|---|
| 19. #13133151 | C4 | semidirect |
| 20. #13133150 | C4 | semidirect |
| 21. #13133150 | C4 | semidirect |
| 22. #107×C53 | C4 | semidirect |
| 115. C53 | #1918 | semidirect |
| 128. #107 | #6157 | semidirect |