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. C2×#13133206 | C2 | semidirect |
| 3. C2×#13133144 | C2 | semidirect |
| 4. #16810627 | C2 | semidirect |
| 5. C2×#13133136 | C2 | semidirect |
| 6. #16810382 | C2 | semidirect |
| 7. C53×#536 | C2 | semidirect |
| 132. #536 | D53 | semidirect |
| 138. C53 | #2003 | semidirect |