Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
336 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 2. #16810647 | C2 | semidirect |
| 4. #16810391 | C2 | semidirect |
| 5. C53×#423 | C2 | semidirect |
| 91. C4×C53 | #100 | semidirect |
| 106. #423 | D53 | semidirect |
| 109. C53 | #1800 | semidirect |
| 196. C4 | #13133133 | semidirect |