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 |
|---|---|---|
| 2. #16811197 | C2 | semidirect |
| 3. #16811106 | C2 | semidirect |
| 4. #16810847 | C2 | semidirect |
| 5. #16810840 | C2 | semidirect |
| 6. #16810831 | C2 | semidirect |
| 7. #16810826 | C2 | semidirect |
| 8. #16810651 | C2 | semidirect |
| 9. #16810625 | C2 | semidirect |
| 10. C2×#13133141 | C2 | semidirect |
| 11. C2×#137×C53 | C2 | semidirect |
| 147. C2×#137 | D53 | semidirect |
| 158. C53 | #3046 | semidirect |