Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
198 conjugacy classes of subgroups; only the 58 normal subgroups are shown.
This group has 198 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 |
|---|---|---|
| 3. #16811483 | C2 | semidirect |
| 4. #16811482 | C2 | semidirect |
| 91. C53 | #1554 | semidirect |