Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
278 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 278 conjugacy classes of subgroups — too many to draw. Only its 69 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. C2×#13133135 | C2 | semidirect |
| 5. #16810528 | C2 | semidirect |
| 6. #16810382 | C2 | semidirect |
| 7. C53×#428 | C2 | semidirect |
| 122. #428 | D53 | semidirect |
| 128. C53 | #2038 | semidirect |