Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
106 conjugacy classes of subgroups; only the 23 normal subgroups are shown.
This group has 106 conjugacy classes of subgroups — too many to draw. Only its 23 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. #16810422 | C2 | semidirect |
| 3. C53×#333 | C2 | semidirect |
| 54. #333 | D53 | semidirect |
| 55. C53 | #1405 | semidirect |