Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
260 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 11. C4⋊Q8×C53 | C4 | semidirect |
| 12. C4⋊Q8×C53 | C4 | semidirect |
| 13. #125×C53 | C4 | semidirect |
| 41. #11719917 | Q8 | semidirect |
| 86. C53 | #1986 | semidirect |
| 88. C4⋊Q8 | Dic53 | semidirect |
| 89. C4⋊Q8 | Dic53 | semidirect |
| 90. #125 | Dic53 | semidirect |