Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
260 conjugacy classes of subgroups; only the 54 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 54 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. D53⋊#101 | C2 | semidirect |
| 2. #16811532 | C2 | semidirect |
| 3. #16811531 | C2 | semidirect |
| 7. #13133278 | C22 | semidirect |
| 87. D53 | #355 | semidirect |
| 92. C53 | C2×#355 | semidirect |