Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
392 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 133 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. #16811180 | C2 | semidirect |
| 3. #16810992 | C2 | semidirect |
| 4. #16810988 | C2 | semidirect |
| 5. #16810983 | C2 | semidirect |
| 6. #16810620 | C2 | semidirect |
| 7. C2×#97×C53 | C2 | semidirect |
| 85. C2×#97 | D53 | semidirect |
| 86. C53 | #3135 | semidirect |