Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
256 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 72 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 |
|---|---|---|
| 21. #13133142 | C4 | semidirect |
| 22. #13133141 | C4 | semidirect |
| 23. #13133140 | C4 | semidirect |
| 24. #103×C53 | C4 | semidirect |
| 126. C53 | #1933 | semidirect |
| 139. #103 | #6157 | semidirect |