Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
216 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 59 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 |
|---|---|---|
| 2. #16810678 | C2 | semidirect |
| 3. #16810575 | C2 | semidirect |
| 4. #16810365 | C2 | semidirect |
| 5. #16810362 | C2 | semidirect |
| 6. #16810362 | C2 | semidirect |
| 7. C53×#330 | C2 | semidirect |
| 103. #330 | D53 | semidirect |
| 106. C53 | #1529 | semidirect |