Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
338 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 338 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 |
|---|---|---|
| 11. C2×#11719925 | C4 | semidirect |
| 76. C2×C4×C53 | Q16 | semidirect |
| 127. C53 | #1878 | semidirect |
| 206. C2×C4 | #11719925 | semidirect |