Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
250 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 250 conjugacy classes of subgroups — too many to draw. Only its 65 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. #16810607 | C2 | semidirect |
| 3. #16810421 | C2 | semidirect |
| 4. #16810419 | C2 | semidirect |
| 5. C53×#413 | C2 | semidirect |
| 114. #413 | D53 | semidirect |
| 117. C53 | #2132 | semidirect |