Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
390 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 89 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. C22×#11719925 | C2 | semidirect |
| 4. C2×#13133140 | C2 | semidirect |
| 6. #16810378 | C2 | semidirect |
| 7. C53×#391 | C2 | semidirect |
| 131. #391 | D53 | semidirect |
| 133. C53 | #2015 | semidirect |