Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
140 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 140 conjugacy classes of subgroups — too many to draw. Only its 45 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. C2×Dic424 | C2 | semidirect |
| 4. #16810438 | C2 | semidirect |
| 5. C53×#368 | C2 | semidirect |
| 56. #368 | D53 | semidirect |
| 58. C53 | #2222 | semidirect |