Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
228 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
|---|---|---|
| 5. C22×#88322 | C4 | semidirect |
| 9. C22⋊#88322 | C4 | semidirect |
| 24. C22⋊C4×C53 | C8 | semidirect |
| 81. C53 | #1282 | semidirect |
| 106. C22⋊C4 | #88322 | semidirect |