Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
296 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 296 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 |
|---|---|---|
| 2. C2×#13133153 | C2 | semidirect |
| 3. #16810631 | C2 | semidirect |
| 5. C2×#13133135 | C2 | semidirect |
| 7. C53×#405 | C2 | semidirect |
| 13. C2×#11719913 | C4 | semidirect |
| 113. #405 | D53 | semidirect |
| 114. C53 | #1977 | semidirect |