Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
284 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 89 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×#13133151 | C2 | semidirect |
| 5. #16810521 | C2 | semidirect |
| 6. #16810386 | C2 | semidirect |
| 7. C2×C4⋊C8×C53 | C2 | semidirect |
| 121. C2×C4⋊C8 | D53 | semidirect |
| 127. C53 | #2067 | semidirect |