Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
336 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 117 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. #16811352 | C2 | semidirect |
| 4. #16810974 | C2 | semidirect |
| 5. #16810933 | C2 | semidirect |
| 8. #16810833 | C2 | semidirect |
| 9. C8×Dic106 | C2 | semidirect |
| 10. #16810715 | C2 | semidirect |
| 127. C53 | #3364 | semidirect |