Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
278 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 278 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 |
|---|---|---|
| 1. C2×#13133152 | C2 | semidirect |
| 4. #16810387 | C2 | semidirect |
| 71. C22×C53 | #108 | semidirect |
| 91. C53 | #1855 | semidirect |
| 157. C22 | #13133152 | semidirect |