Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
256 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 256 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 |
|---|---|---|
| 2. #16810661 | C2 | semidirect |
| 4. #16810394 | C2 | semidirect |
| 5. C2×#108×C53 | C2 | semidirect |
| 9. #13133223 | C4 | semidirect |
| 10. #13133223 | C4 | semidirect |
| 93. C2×#108 | D53 | semidirect |
| 97. C53 | #1814 | semidirect |