Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
232 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 77 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 |
|---|---|---|
| 1. #16810666 | C2 | semidirect |
| 5. #16810391 | C2 | semidirect |
| 6. #16810388 | C2 | semidirect |
| 7. C53×#405 | C2 | semidirect |
| 18. #13133133 | C4 | semidirect |
| 105. #405 | D53 | semidirect |
| 108. C53 | #1931 | semidirect |