Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
230 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 65 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 |
|---|---|---|
| 2. C2×#13133136 | C2 | semidirect |
| 3. #16810421 | C2 | semidirect |
| 4. #16810419 | C2 | semidirect |
| 5. C2×#101×C53 | C2 | semidirect |
| 107. C2×#101 | D53 | semidirect |
| 110. C53 | #2133 | semidirect |