Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
416 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 149 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. #16810915 | C2 | semidirect |
| 3. #16810910 | C2 | semidirect |
| 4. #16810905 | C2 | semidirect |
| 5. #16810900 | C2 | semidirect |
| 6. #16810663 | C2 | semidirect |
| 7. #16810647 | C2 | semidirect |
| 9. C2×C4⋊Q8×C53 | C2 | semidirect |
| 44. #11719945 | Q8 | semidirect |
| 91. D212 | C2×Q8 | semidirect |
| 96. Dic106 | C2×Q8 | semidirect |
| 122. C2×C4⋊Q8 | D53 | semidirect |
| 131. C53 | #3079 | semidirect |