Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
336 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 141 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×#13133149 | C2 | semidirect |
| 3. #16810386 | C2 | semidirect |
| 11. C22×C8×C53 | C4 | semidirect |
| 48. C8×C53 | C22⋊C4 | semidirect |
| 52. C22×C53 | #106 | semidirect |
| 72. C53 | #1807 | semidirect |
| 75. C22×C8 | Dic53 | semidirect |
| 116. C8 | C22⋊Dic53 | semidirect |
| 120. C22 | #13133149 | semidirect |