Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
402 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 109 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. #16811203 | C2 | semidirect |
| 2. #16810952 | C2 | semidirect |
| 3. #16810943 | C2 | semidirect |
| 4. #16810876 | C2 | semidirect |
| 5. #16810854 | C2 | semidirect |
| 6. #16810784 | C2 | semidirect |
| 7. #16810771 | C2 | semidirect |
| 8. #16810591 | C2 | semidirect |
| 9. C53×#470 | C2 | semidirect |
| 121. #470 | D53 | semidirect |
| 127. C53 | #3204 | semidirect |