Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
426 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 426 conjugacy classes of subgroups — too many to draw. Only its 91 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. C22×#11719924 | C2 | semidirect |
| 3. C2×#13133141 | C2 | semidirect |
| 4. C2×#13133138 | C2 | semidirect |
| 5. #16810525 | C2 | semidirect |
| 6. #16810378 | C2 | semidirect |
| 7. C2×#124×C53 | C2 | semidirect |
| 136. C2×#124 | D53 | semidirect |
| 141. C53 | #2012 | semidirect |