Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
262 conjugacy classes of subgroups; only the 62 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 62 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. #16811494 | C2 | semidirect |
| 4. #16811490 | C2 | semidirect |
| 17. #13133176 | C4 | semidirect |
| 18. #13133174 | C4 | semidirect |
| 20. C42×D53 | C4 | semidirect |
| 22. C2×C42×C53 | C4 | semidirect |
| 108. C53 | #1827 | semidirect |
| 121. C2×C42 | #6157 | semidirect |