Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
168 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 3. #16810448 | C2 | direct (N × H) |
| 6. C2×#11719908 | C4 | semidirect |
| 25. #11719908 | C2×C4 | semidirect |
| 48. C2×C53 | #366 | semidirect |
| 56. C53 | C2×#366 | semidirect |
| 99. C2 | #16810448 | direct (N × H) |