Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
240 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 240 conjugacy classes of subgroups — too many to draw. Only its 75 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 |
|---|---|---|
| 4. #16810372 | C2 | semidirect |
| 5. #16810371 | C2 | semidirect |
| 6. #16810371 | C2 | semidirect |
| 7. C53×#333 | C2 | semidirect |
| 95. #333 | D53 | semidirect |
| 96. C53 | #1548 | semidirect |