Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
332 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 97 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×C22⋊#88322 | C2 | semidirect |
| 3. #16810348 | C2 | semidirect |
| 4. #16810346 | C2 | semidirect |
| 5. C2×C22⋊C8×C53 | C2 | semidirect |
| 35. C2×C22⋊D53 | C8 | semidirect |
| 65. C22×D53 | C2×C8 | semidirect |
| 84. C2×Dic53 | C2×C8 | semidirect |
| 125. C2×C22⋊C8 | D53 | semidirect |
| 128. C53 | #1459 | semidirect |