Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
726 conjugacy classes of subgroups; only the 253 normal subgroups are shown.
This group has 726 conjugacy classes of subgroups — too many to draw. Only its 253 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. #16811106 | C2 | semidirect |
| 3. #16810633 | C2 | semidirect |
| 4. #16810625 | C2 | semidirect |
| 5. #16810620 | C2 | semidirect |
| 6. C2×#13133142 | C2 | semidirect |
| 7. C2×#131×C53 | C2 | semidirect |
| 9. #13133264 | C4 | semidirect |
| 38. #11719945 | C2×C4 | semidirect |
| 43. C2×Dic106 | C2×C4 | semidirect |
| 96. C2×#131 | D53 | semidirect |
| 102. C53 | #2898 | semidirect |