Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
416 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 137 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×#13133216 | C2 | semidirect |
| 3. #16810917 | C2 | semidirect |
| 4. #16810912 | C2 | semidirect |
| 5. #16810907 | C2 | semidirect |
| 6. #16810902 | C2 | semidirect |
| 7. #16810666 | C2 | semidirect |
| 8. #16810646 | C2 | semidirect |
| 11. C53×#428 | C2 | semidirect |
| 50. #11719945 | Q8 | semidirect |
| 104. D212 | C2×Q8 | semidirect |
| 111. Dic106 | C2×Q8 | semidirect |
| 146. #428 | D53 | semidirect |
| 150. C53 | #3079 | semidirect |