Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
150 conjugacy classes of subgroups; only the 50 normal subgroups are shown.
This group has 150 conjugacy classes of subgroups — too many to draw. Only its 50 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 |
|---|---|---|
| 12. Dic424 | C4 | semidirect |
| 13. #13133163 | C4 | semidirect |
| 15. Q32×C53 | C4 | semidirect |
| 43. #6157 | Q32 | direct (N × H) |
| 57. C53 | C4×Q32 | semidirect |
| 62. Q32 | #6157 | direct (N × H) |