Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
246 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 246 conjugacy classes of subgroups — too many to draw. Only its 66 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. #16811645 | C2 | semidirect |
| 2. #16811642 | C2 | semidirect |
| 3. Q8⋊#88324 | C2 | semidirect |
| 4. #16811471 | C2 | semidirect |
| 103. C53 | #1488 | semidirect |