Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
208 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 208 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 7. C4⋊#88322 | C4 | semidirect |
| 9. C4×#88322 | C4 | semidirect |
| 19. C4⋊C4×C53 | C8 | semidirect |
| 74. C53 | #1279 | semidirect |
| 95. C4⋊C4 | #88322 | semidirect |