Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
402 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 133 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. #16811180 | C2 | semidirect |
| 3. #16811028 | C2 | semidirect |
| 4. #16810996 | C2 | semidirect |
| 5. #16810974 | C2 | semidirect |
| 6. #16810970 | C2 | semidirect |
| 7. #16810869 | C2 | semidirect |
| 8. #16810725 | C2 | semidirect |
| 9. C4×M16×C53 | C2 | semidirect |
| 90. C8×C53 | #41 | semidirect |
| 121. C4×M16 | D53 | semidirect |
| 122. C53 | #3182 | semidirect |
| 203. C8 | #11719945 | semidirect |