Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
262 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 3. #16810383 | C2 | semidirect |
| 4. #16810379 | C2 | semidirect |
| 15. #117×C53 | C4 | semidirect |
| 17. C2×C42×C53 | C4 | semidirect |
| 85. C53 | #1827 | semidirect |
| 92. #117 | Dic53 | semidirect |
| 94. C2×C42 | Dic53 | semidirect |