Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
256 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 94 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 |
|---|---|---|
| 15. #13133128 | C4 | semidirect |
| 16. #13133127 | C4 | semidirect |
| 17. #97×C53 | C4 | semidirect |
| 50. C8×C53 | C4⋊C4 | semidirect |
| 51. #88322 | C4⋊C4 | semidirect |
| 75. C53 | #1847 | semidirect |
| 86. #97 | #6157 | semidirect |
| 121. C8 | C4⋊#6157 | semidirect |