Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
256 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 93 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×#13133157 | C2 | semidirect |
| 2. C2×#13133153 | C2 | semidirect |
| 3. #16810436 | C2 | direct (N × H) |
| 7. #13133157 | C22 | semidirect |
| 10. #13133153 | C22 | semidirect |
| 77. C2×C53 | #361 | semidirect |
| 83. C53 | C2×#361 | semidirect |
| 155. C2 | #16810436 | direct (N × H) |