Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
282 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 282 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 |
|---|---|---|
| 2. C2×#13133153 | C2 | semidirect |
| 3. #16810622 | C2 | semidirect |
| 4. C2×#13133134 | C2 | semidirect |
| 5. #16810589 | C2 | semidirect |
| 6. #16810392 | C2 | semidirect |
| 7. C2×#102×C53 | C2 | semidirect |
| 120. C2×#102 | D53 | semidirect |
| 124. C53 | #2051 | semidirect |