Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
226 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 226 conjugacy classes of subgroups — too many to draw. Only its 57 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 |
| 2. C2×#13133161 | C2 | semidirect |
| 3. #16810426 | C2 | semidirect |
| 4. C22⋊#11719908 | C2 | semidirect |
| 33. Dic212 | D4 | semidirect |
| 57. C22×C53 | SD32 | semidirect |
| 75. C53 | #2185 | semidirect |
| 127. C22 | #13133161 | semidirect |