Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
106 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 106 conjugacy classes of subgroups — too many to draw. Only its 41 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. #16811055 | C2 | semidirect |
| 2. #16810463 | C2 | semidirect |
| 3. #16810461 | C2 | semidirect |
| 4. #16810460 | C2 | semidirect |
| 5. #16810458 | C2 | semidirect |
| 6. C2×#13133123 | C2 | semidirect |
| 7. C53×#508 | C2 | semidirect |
| 54. #508 | D53 | semidirect |
| 60. C53 | #2262 | semidirect |