Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
218 conjugacy classes of subgroups; only the 58 normal subgroups are shown.
This group has 218 conjugacy classes of subgroups — too many to draw. Only its 58 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. #16811644 | C2 | semidirect |
| 2. C2×#13133272 | C2 | semidirect |
| 3. #16811480 | C2 | semidirect |
| 4. #16811479 | C2 | semidirect |
| 96. C53 | #1532 | semidirect |