Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
392 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 91 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. C22×#11719925 | C2 | semidirect |
| 4. C2×#13133142 | C2 | semidirect |
| 6. #16810385 | C2 | semidirect |
| 7. C2×#103×C53 | C2 | semidirect |
| 76. C22×D53 | Q16 | semidirect |
| 148. C2×#103 | D53 | semidirect |
| 151. C53 | #2001 | semidirect |