Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
228 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 60 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 |
|---|---|---|
| 8. C22⋊#88324 | C4 | semidirect |
| 11. C22×#88322 | C4 | semidirect |
| 14. C22×C8×C53 | C4 | semidirect |
| 26. C22⋊#6157 | C8 | semidirect |
| 92. C53 | #1282 | semidirect |
| 96. C22×C8 | #6157 | semidirect |