Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
158 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 158 conjugacy classes of subgroups — too many to draw. Only its 41 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 |
|---|---|---|
| 21. C22⋊C4×C53 | C8 | semidirect |
| 72. C53 | #1326 | semidirect |
| 92. C22⋊C4 | #88322 | semidirect |