Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
264 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 81 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. #16810680 | C2 | semidirect |
| 2. C4×#11719917 | C2 | semidirect |
| 3. #16810363 | C2 | semidirect |
| 8. #13133128 | C22 | semidirect |
| 9. #13133128 | C22 | semidirect |
| 89. C53 | #1527 | semidirect |