Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
316 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 83 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×#13133152 | C2 | semidirect |
| 3. #16810629 | C2 | semidirect |
| 4. #16810628 | C2 | semidirect |
| 5. C2×#13133133 | C2 | semidirect |
| 6. #16810581 | C2 | semidirect |
| 7. C2×#100×C53 | C2 | semidirect |
| 12. C2×#11719922 | C4 | semidirect |
| 117. C2×#100 | D53 | semidirect |
| 119. C53 | #1978 | semidirect |