Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
406 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 406 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 3. C2×#13133215 | C2 | semidirect |
| 4. C2×#13133140 | C2 | semidirect |
| 6. #16810377 | C2 | semidirect |
| 7. C2×#103×C53 | C2 | semidirect |
| 91. C2×Dic53 | SD16 | semidirect |
| 131. C2×#103 | D53 | semidirect |
| 134. C53 | #2013 | semidirect |