Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
256 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 256 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 |
|---|---|---|
| 1. #16810778 | C2 | semidirect |
| 3. #16810360 | C2 | semidirect |
| 44. C23×C53 | Q16 | semidirect |
| 93. C53 | #1602 | semidirect |
| 132. C23 | #11719925 | semidirect |