Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
274 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 274 conjugacy classes of subgroups — too many to draw. Only its 87 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. #16810493 | C2 | semidirect |
| 4. #16810386 | C2 | semidirect |
| 5. C53×#336 | C2 | semidirect |
| 97. #336 | D53 | semidirect |
| 98. C53 | #2071 | semidirect |