Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
154 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 154 conjugacy classes of subgroups — too many to draw. Only its 53 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. #16810746 | C2 | semidirect |
| 3. #16810736 | C2 | semidirect |
| 4. #16810446 | C2 | semidirect |
| 5. #16810437 | C2 | semidirect |
| 6. #16810434 | C2 | semidirect |
| 7. C53×#347 | C2 | semidirect |
| 12. #13133162 | C4 | semidirect |
| 13. D848 | C4 | semidirect |
| 30. Dic212 | C2×C4 | semidirect |
| 33. D424 | C2×C4 | semidirect |
| 38. C16×C53 | C2×C4 | semidirect |
| 75. #347 | D53 | semidirect |
| 76. C53 | AGL(1,ℤ/16) | semidirect |
| 107. C16 | C4×D53 | semidirect |