Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
374 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 374 conjugacy classes of subgroups — too many to draw. Only its 101 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×#13133182 | C2 | semidirect |
| 3. C2×#13133140 | C2 | semidirect |
| 6. #16810377 | C2 | semidirect |
| 7. C53×#340 | C2 | semidirect |
| 12. C2×#11719913 | C4 | semidirect |
| 90. C2×Dic53 | SD16 | semidirect |
| 98. Dic106 | C22⋊C4 | semidirect |
| 138. #340 | D53 | semidirect |
| 140. C53 | #1880 | semidirect |