Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
434 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 434 conjugacy classes of subgroups — too many to draw. Only its 129 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. #16811173 | C2 | semidirect |
| 2. C4×#11719945 | C2 | semidirect |
| 3. #16810948 | C2 | semidirect |
| 4. #16810919 | C2 | semidirect |
| 5. #16810914 | C2 | semidirect |
| 6. #16810824 | C2 | semidirect |
| 7. #16810819 | C2 | semidirect |
| 8. #16810770 | C2 | semidirect |
| 9. C4×#11719913 | C2 | semidirect |
| 10. C4×D424 | C2 | semidirect |
| 11. C53×#431 | C2 | semidirect |
| 107. D212 | #41 | semidirect |
| 114. Dic106 | #41 | semidirect |
| 155. #431 | D53 | semidirect |
| 156. C53 | #3106 | semidirect |