Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
256 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 16. #13133127 | C4 | semidirect |
| 63. C8×C53 | C4⋊C4 | semidirect |
| 64. #88322 | C4⋊C4 | semidirect |
| 92. C53 | #1847 | semidirect |
| 149. C8 | #11719919 | semidirect |