Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
536 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 536 conjugacy classes of subgroups — too many to draw. Only its 82 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. #16811621 | C2 | semidirect |
| 2. #16811616 | C2 | semidirect |
| 3. #16811609 | C2 | semidirect |
| 4. #16811602 | C2 | semidirect |
| 20. C2×#11719947 | C4 | semidirect |
| 23. C22×Dic106 | C4 | semidirect |
| 24. C2×Q8×D53 | C4 | semidirect |
| 26. C2×#41×C53 | C4 | semidirect |
| 147. C53 | #1796 | semidirect |
| 156. C2×#41 | #6157 | semidirect |