Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
150 conjugacy classes of subgroups; only the 37 normal subgroups are shown.
This group has 150 conjugacy classes of subgroups — too many to draw. Only its 37 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 |
|---|---|---|
| 19. C22×Dic53 | C8 | semidirect |
| 72. C53 | #1317 | semidirect |