Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
362 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 73 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×#13133247 | C2 | semidirect |
| 3. C22×#11719913 | C2 | semidirect |
| 4. C2×#13133135 | C2 | semidirect |
| 5. C2×#13133133 | C2 | semidirect |
| 6. #16810388 | C2 | semidirect |
| 7. C53×#408 | C2 | semidirect |
| 133. #408 | D53 | semidirect |
| 135. C53 | #2019 | semidirect |