Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
256 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 105 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. C2×#13133153 | C2 | semidirect |
| 2. #16810661 | C2 | semidirect |
| 4. #16810395 | C2 | semidirect |
| 16. #131×C53 | C4 | semidirect |
| 17. #131×C53 | C4 | semidirect |
| 97. C53 | #1814 | semidirect |
| 101. #131 | Dic53 | semidirect |
| 102. #131 | Dic53 | semidirect |