Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
228 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 67 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 |
|---|---|---|
| 4. #16810370 | C2 | semidirect |
| 5. #16810369 | C2 | semidirect |
| 6. #16810368 | C2 | semidirect |
| 7. C53×#332 | C2 | semidirect |
| 97. #332 | D53 | semidirect |
| 98. C53 | #1556 | semidirect |