Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
336 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 113 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. #16811025 | C2 | semidirect |
| 3. #16810963 | C2 | semidirect |
| 4. #16810957 | C2 | semidirect |
| 5. #16810930 | C2 | semidirect |
| 6. #16810878 | C2 | semidirect |
| 8. #16810664 | C2 | semidirect |
| 9. C4×Q16×C53 | C2 | semidirect |
| 103. C4×Q16 | D53 | semidirect |
| 106. C53 | #3352 | semidirect |