Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
704 conjugacy classes of subgroups; only the 198 normal subgroups are shown.
This group has 704 conjugacy classes of subgroups — too many to draw. Only its 198 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. #16811701 | C2 | semidirect |
| 2. #16811610 | C2 | semidirect |
| 3. #16811609 | C2 | semidirect |
| 4. D53⋊#101 | C2 | semidirect |
| 5. C2×#13133278 | C2 | semidirect |
| 128. C53 | #2889 | semidirect |