Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
154 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 154 conjugacy classes of subgroups — too many to draw. Only its 55 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×#13133163 | C2 | semidirect |
| 4. #16810448 | C2 | semidirect |
| 5. #16810427 | C2 | semidirect |
| 6. #16810426 | C2 | semidirect |
| 58. C22×C53 | Q32 | semidirect |
| 79. C53 | #2216 | semidirect |
| 130. C22 | #13133163 | semidirect |