Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
128 conjugacy classes of subgroups; only the 32 normal subgroups are shown.
This group has 128 conjugacy classes of subgroups — too many to draw. Only its 32 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. #16811519 | C2 | semidirect |
| 54. C53 | #1320 | semidirect |