Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
484 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 145 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×#13133247 | C2 | semidirect |
| 2. C2×C4×Dic106 | C2 | semidirect |
| 3. #16810842 | C2 | semidirect |
| 4. #16810830 | C2 | semidirect |
| 5. #16810820 | C2 | semidirect |
| 6. #16810647 | C2 | semidirect |
| 7. #16810624 | C2 | semidirect |
| 49. C2×Dic106 | D4 | semidirect |
| 110. C4×C53 | #137 | semidirect |
| 129. C53 | #3037 | semidirect |
| 233. C4 | #13133247 | semidirect |