Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
112 conjugacy classes of subgroups; only the 33 normal subgroups are shown.
This group has 112 conjugacy classes of subgroups — too many to draw. Only its 33 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. #16810405 | C2 | semidirect |
| 3. C53×#349 | C2 | semidirect |
| 56. #349 | D53 | semidirect |
| 57. C53 | #1321 | semidirect |