Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
382 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 382 conjugacy classes of subgroups — too many to draw. Only its 73 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. #16811197 | C2 | semidirect |
| 3. C2×#13133206 | C2 | semidirect |
| 4. C2×#13133143 | C2 | semidirect |
| 5. #16810629 | C2 | semidirect |
| 6. #16810384 | C2 | semidirect |
| 7. C2×#101×C53 | C2 | semidirect |
| 136. C2×#101 | D53 | semidirect |
| 138. C53 | #2003 | semidirect |