Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
242 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 242 conjugacy classes of subgroups — too many to draw. Only its 73 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. #16810680 | C2 | semidirect |
| 3. #16810370 | C2 | semidirect |
| 4. #16810366 | C2 | semidirect |
| 5. C53×#431 | C2 | semidirect |
| 83. #431 | D53 | semidirect |
| 86. C53 | #1553 | semidirect |