Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
322 conjugacy classes of subgroups; only the 64 normal subgroups are shown.
This group has 322 conjugacy classes of subgroups — too many to draw. Only its 64 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. #16811594 | C2 | semidirect |
| 2. D53⋊(C22⋊C8) | C2 | semidirect |
| 3. #16811466 | C2 | semidirect |
| 104. C53 | #1471 | semidirect |