Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
438 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 115 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×D4×Dic53 | C2 | semidirect |
| 2. C2×#13133138 | C2 | semidirect |
| 3. C2×#13133138 | C2 | semidirect |
| 4. #16810526 | C2 | semidirect |
| 5. #16810386 | C2 | semidirect |
| 6. #16810377 | C2 | semidirect |
| 24. C2×D8×C53 | C4 | semidirect |
| 37. C2×D4×C53 | C2×C4 | semidirect |
| 51. C2×C8×C53 | C2×C4 | semidirect |
| 86. D4×C53 | C22⋊C4 | semidirect |
| 105. C2×Dic53 | D8 | semidirect |
| 154. C53 | #1879 | semidirect |
| 160. C2×D8 | Dic53 | semidirect |
| 184. C2×D4 | C2×Dic53 | semidirect |
| 201. C2×C8 | C2×Dic53 | semidirect |
| 233. D4 | C22⋊Dic53 | semidirect |