Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
152 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 152 conjugacy classes of subgroups — too many to draw. Only its 47 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. #16811024 | C2 | semidirect |
| 3. #16810425 | C2 | semidirect |
| 4. #16810424 | C2 | semidirect |
| 5. #16810423 | C2 | semidirect |
| 6. #16810398 | C2 | semidirect |
| 7. C53×#357 | C2 | semidirect |
| 77. #357 | D53 | semidirect |
| 79. C53 | #2244 | semidirect |