Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
392 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 1. C22×Dic212 | C2 | semidirect |
| 3. C2×#13133142 | C2 | semidirect |
| 4. #16810386 | C2 | semidirect |
| 47. C23×C53 | Q16 | semidirect |
| 98. C53 | #2001 | semidirect |
| 140. C23 | Dic212 | semidirect |