Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
376 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 153 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. #16810930 | C2 | semidirect |
| 3. #16810918 | C2 | semidirect |
| 4. #16810908 | C2 | semidirect |
| 35. C2×Q8×C53 | Q8 | semidirect |
| 115. C53 | #3078 | semidirect |
| 144. C2×Q8 | Dic106 | semidirect |