Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
154 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 154 conjugacy classes of subgroups — too many to draw. Only its 45 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. #16811008 | C2 | semidirect |
| 3. #16810740 | C2 | semidirect |
| 4. #16810443 | C2 | semidirect |
| 5. #16810439 | C2 | semidirect |
| 6. #16810437 | C2 | semidirect |
| 7. C53×#510 | C2 | semidirect |
| 75. #510 | D53 | semidirect |
| 82. C53 | #2212 | semidirect |