Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
296 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 296 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 2. C2×#13133152 | C2 | semidirect |
| 4. C2×#13133136 | C2 | semidirect |
| 6. #16810579 | C2 | semidirect |
| 7. C53×#419 | C2 | semidirect |
| 12. C2×#11719924 | C4 | semidirect |
| 109. #419 | D53 | semidirect |
| 114. C53 | #1977 | semidirect |