Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
256 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 88 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. C4⋊#88322 | C4 | semidirect |
| 17. #13133146 | C4 | semidirect |
| 18. C4⋊C8×C53 | C4 | semidirect |
| 79. C4×C53 | #106 | semidirect |
| 83. Dic53 | #106 | semidirect |
| 99. C53 | #1948 | semidirect |
| 111. C4⋊C8 | #6157 | semidirect |
| 177. C4 | #13133285 | semidirect |