Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
402 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 129 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. #16811026 | C2 | semidirect |
| 3. #16810997 | C2 | semidirect |
| 4. #16810973 | C2 | semidirect |
| 5. #16810971 | C2 | semidirect |
| 6. #16810871 | C2 | semidirect |
| 7. #16810721 | C2 | semidirect |
| 8. C4×#11719917 | C2 | semidirect |
| 9. C53×#533 | C2 | semidirect |
| 90. #88322 | #41 | semidirect |
| 113. #533 | D53 | semidirect |
| 122. C53 | #3182 | semidirect |