Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
552 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 552 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 |
|---|---|---|
| 2. C2×#13133145 | C2 | semidirect |
| 3. #16810625 | C2 | semidirect |
| 4. #16810624 | C2 | semidirect |
| 5. C2×#13133135 | C2 | semidirect |
| 6. #16810529 | C2 | semidirect |
| 7. C2×#104×C53 | C2 | semidirect |
| 11. #13133264 | C4 | semidirect |
| 157. C2×#104 | D53 | semidirect |
| 162. C53 | #1793 | semidirect |