Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
472 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 1. C2×#13133247 | C2 | semidirect |
| 2. C2×#13133224 | C2 | semidirect |
| 3. #16811194 | C2 | semidirect |
| 4. #16810879 | C2 | semidirect |
| 5. #16810867 | C2 | semidirect |
| 6. #16810862 | C2 | semidirect |
| 7. #16810850 | C2 | semidirect |
| 8. #16810663 | C2 | semidirect |
| 9. #16810619 | C2 | semidirect |
| 10. C2×#13133140 | C2 | semidirect |
| 79. #11719917 | D4 | semidirect |
| 155. C53 | #3063 | semidirect |