Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
438 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 113 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×#13133138 | C2 | semidirect |
| 3. C2×#13133137 | C2 | semidirect |
| 4. #16810525 | C2 | semidirect |
| 5. #16810385 | C2 | semidirect |
| 6. #16810378 | C2 | semidirect |
| 7. C2×C4×D4×C53 | C2 | semidirect |
| 11. C2×#11719922 | C4 | semidirect |
| 47. C2×D212 | C2×C4 | semidirect |
| 63. C2×#88322 | C2×C4 | semidirect |
| 82. D4×C53 | C22⋊C4 | semidirect |
| 92. C2×C4×C53 | D8 | semidirect |
| 148. C2×C4×D4 | D53 | semidirect |
| 154. C53 | #1879 | semidirect |
| 233. D4 | #11719921 | semidirect |
| 246. C2×C4 | #11719922 | semidirect |