Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
344 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 78 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. C2×#13133280 | C2 | semidirect |
| 3. #16811582 | C2 | semidirect |
| 4. #16811569 | C2 | semidirect |
| 14. #13133206 | C4 | semidirect |
| 15. #13133205 | C4 | semidirect |
| 16. #13133204 | C4 | semidirect |
| 20. #124×C53 | C4 | semidirect |
| 109. C53 | #1959 | semidirect |
| 117. #124 | #6157 | semidirect |