Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
178 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 178 conjugacy classes of subgroups — too many to draw. Only its 61 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 |
|---|---|---|
| 1. C2×Dic424 | C2 | semidirect |
| 4. #16811003 | C2 | semidirect |
| 5. C53×#346 | C2 | semidirect |
| 61. #346 | D53 | semidirect |
| 62. C53 | #2251 | semidirect |