Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
382 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 382 conjugacy classes of subgroups — too many to draw. Only its 75 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. #16811199 | C2 | semidirect |
| 3. C2×#13133205 | C2 | semidirect |
| 4. C2×#13133145 | C2 | semidirect |
| 5. #16810627 | C2 | semidirect |
| 6. C2×#13133135 | C2 | semidirect |
| 7. C53×#339 | C2 | semidirect |
| 137. #339 | D53 | semidirect |
| 138. C53 | #2003 | semidirect |