Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
118 conjugacy classes of subgroups; only the 34 normal subgroups are shown.
This group has 118 conjugacy classes of subgroups — too many to draw. Only its 34 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. #16811544 | C2 | semidirect |
| 2. #16811487 | C2 | semidirect |
| 61. C53 | #1361 | semidirect |