Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
456 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 145 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 |
|---|---|---|
| 1. #16811173 | C2 | semidirect |
| 2. #16811026 | C2 | semidirect |
| 3. #16810999 | C2 | semidirect |
| 4. #16810971 | C2 | semidirect |
| 5. #16810969 | C2 | semidirect |
| 6. #16810857 | C2 | semidirect |
| 7. C4×#11719922 | C2 | semidirect |
| 8. C2×C4×#88322 | C2 | semidirect |
| 9. C53×#532 | C2 | semidirect |
| 80. C2×C4×C53 | D8 | semidirect |
| 95. #88322 | #41 | semidirect |
| 122. #532 | D53 | semidirect |
| 130. C53 | #3169 | semidirect |
| 208. C2×C4 | #11719922 | semidirect |