Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
420 conjugacy classes of subgroups; only the 130 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 130 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 |
|---|---|---|
| 5. #13133296 | C4 | semidirect |
| 12. C2×#11719919 | C4 | semidirect |
| 14. C2×C4×Dic53 | C4 | semidirect |
| 15. C2×C42×C53 | C4 | semidirect |
| 86. C53 | #1740 | semidirect |
| 98. C2×C42 | #6157 | semidirect |