Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
372 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 125 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. #16811254 | C2 | semidirect |
| 3. #16810990 | C2 | semidirect |
| 4. #16810984 | C2 | semidirect |
| 5. #16810979 | C2 | semidirect |
| 6. #16810972 | C2 | semidirect |
| 7. #16810632 | C2 | semidirect |
| 10. #16810578 | C2 | semidirect |
| 11. C2×#103×C53 | C2 | semidirect |
| 137. C2×#103 | D53 | semidirect |
| 139. C53 | #3137 | semidirect |