Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
232 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 232 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. C2×C4⋊Dic53 | C4 | semidirect |
| 8. C2×C4×Dic53 | C4 | semidirect |
| 10. #13133132 | C4 | semidirect |
| 14. #99×C53 | C4 | semidirect |
| 107. C53 | #1393 | semidirect |
| 118. #99 | Dic53 | semidirect |