Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
482 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 482 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. C2×#13133240 | C2 | semidirect |
| 2. #16811284 | C2 | semidirect |
| 3. #16811008 | C2 | semidirect |
| 4. #16810861 | C2 | semidirect |
| 5. #16810859 | C2 | semidirect |
| 6. #16810847 | C2 | semidirect |
| 7. #16810784 | C2 | semidirect |
| 8. #16810762 | C2 | semidirect |
| 9. Q16×Dic53 | C2 | semidirect |
| 10. C8×C22⋊D53 | C2 | semidirect |
| 11. C22×Q16×C53 | C2 | semidirect |
| 58. Q16×C53 | D4 | semidirect |
| 113. C22×C53 | #135 | semidirect |
| 138. C22×Q16 | D53 | semidirect |
| 148. C53 | #3285 | semidirect |
| 195. Q16 | C22⋊D53 | semidirect |
| 256. C22 | #13133240 | semidirect |