Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
484 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 149 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. C2×#13133239 | C2 | semidirect |
| 2. #16811201 | C2 | semidirect |
| 3. #16810881 | C2 | semidirect |
| 4. #16810876 | C2 | semidirect |
| 5. #16810852 | C2 | semidirect |
| 6. C2×#13133149 | C2 | semidirect |
| 7. #16810625 | C2 | semidirect |
| 8. C2×#131×C53 | C2 | semidirect |
| 48. C2×C8×C53 | D4 | semidirect |
| 107. C2×#131 | D53 | semidirect |
| 114. C53 | #3060 | semidirect |
| 157. C2×C8 | C22⋊D53 | semidirect |