Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
234 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 57 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. C23×Dic53 | C4 | semidirect |
| 7. C2×C22⋊Dic53 | C4 | semidirect |
| 9. #13133132 | C4 | semidirect |
| 14. #100×C53 | C4 | semidirect |
| 106. C53 | #1390 | semidirect |
| 114. #100 | Dic53 | semidirect |