Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
292 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 72 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. C2×C8×#6157 | C2 | semidirect |
| 4. #16811574 | C2 | semidirect |
| 5. #16811497 | C2 | semidirect |
| 6. #16811496 | C2 | semidirect |
| 21. #13133139 | C4 | semidirect |
| 22. #13133138 | C4 | semidirect |
| 23. #13133137 | C4 | semidirect |
| 24. #102×C53 | C4 | semidirect |
| 142. C53 | #1934 | semidirect |
| 157. #102 | #6157 | semidirect |