Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
166 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 166 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 |
|---|---|---|
| 3. C4⋊#11719908 | C2 | semidirect |
| 4. #16810427 | C2 | semidirect |
| 5. C53×#494 | C2 | semidirect |
| 52. C4×C53 | SD32 | semidirect |
| 62. #494 | D53 | semidirect |
| 66. C53 | #2208 | semidirect |
| 114. C4 | #13133160 | semidirect |