Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
270 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 270 conjugacy classes of subgroups — too many to draw. Only its 97 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×#13133153 | C2 | semidirect |
| 3. #16810650 | C2 | semidirect |
| 5. #16810382 | C2 | semidirect |
| 6. #16810377 | C2 | semidirect |
| 23. #103×C53 | C4 | semidirect |
| 24. #103×C53 | C4 | semidirect |
| 25. #102×C53 | C4 | semidirect |
| 26. #102×C53 | C4 | semidirect |
| 117. C53 | #1866 | semidirect |
| 133. #103 | Dic53 | semidirect |
| 134. #103 | Dic53 | semidirect |
| 135. #102 | Dic53 | semidirect |
| 136. #102 | Dic53 | semidirect |